- FindStat

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Identifier

Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations

Images

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            []=>[]
[1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[1,3,2]
[2,1,3]=>[2,1,3]
[2,3,1]=>[3,2,1]
[3,1,2]=>[3,1,2]
[3,2,1]=>[2,3,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[1,2,4,3]
[1,3,2,4]=>[1,3,2,4]
[1,3,4,2]=>[1,4,3,2]
[1,4,2,3]=>[1,4,2,3]
[1,4,3,2]=>[1,3,4,2]
[2,1,3,4]=>[2,1,3,4]
[2,1,4,3]=>[2,1,4,3]
[2,3,1,4]=>[3,2,1,4]
[2,3,4,1]=>[4,2,3,1]
[2,4,1,3]=>[4,2,1,3]
[2,4,3,1]=>[3,2,4,1]
[3,1,2,4]=>[3,1,2,4]
[3,1,4,2]=>[3,4,1,2]
[3,2,1,4]=>[2,3,1,4]
[3,2,4,1]=>[4,3,2,1]
[3,4,1,2]=>[4,1,3,2]
[3,4,2,1]=>[2,4,3,1]
[4,1,2,3]=>[4,1,2,3]
[4,1,3,2]=>[4,3,1,2]
[4,2,1,3]=>[2,4,1,3]
[4,2,3,1]=>[3,4,2,1]
[4,3,1,2]=>[3,1,4,2]
[4,3,2,1]=>[2,3,4,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[1,2,3,5,4]
[1,2,4,3,5]=>[1,2,4,3,5]
[1,2,4,5,3]=>[1,2,5,4,3]
[1,2,5,3,4]=>[1,2,5,3,4]
[1,2,5,4,3]=>[1,2,4,5,3]
[1,3,2,4,5]=>[1,3,2,4,5]
[1,3,2,5,4]=>[1,3,2,5,4]
[1,3,4,2,5]=>[1,4,3,2,5]
[1,3,4,5,2]=>[1,5,3,4,2]
[1,3,5,2,4]=>[1,5,3,2,4]
[1,3,5,4,2]=>[1,4,3,5,2]
[1,4,2,3,5]=>[1,4,2,3,5]
[1,4,2,5,3]=>[1,4,5,2,3]
[1,4,3,2,5]=>[1,3,4,2,5]
[1,4,3,5,2]=>[1,5,4,3,2]
[1,4,5,2,3]=>[1,5,2,4,3]
[1,4,5,3,2]=>[1,3,5,4,2]
[1,5,2,3,4]=>[1,5,2,3,4]
[1,5,2,4,3]=>[1,5,4,2,3]
[1,5,3,2,4]=>[1,3,5,2,4]
[1,5,3,4,2]=>[1,4,5,3,2]
[1,5,4,2,3]=>[1,4,2,5,3]
[1,5,4,3,2]=>[1,3,4,5,2]
[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,4,3]=>[2,1,4,5,3]
[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,4,1,5]=>[4,2,3,1,5]
[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,4,1]=>[4,2,3,5,1]
[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,5,3]=>[4,2,5,1,3]
[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,3,1]=>[3,2,5,4,1]
[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,4,3]=>[5,2,4,1,3]
[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,3,1]=>[3,2,4,5,1]
[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,4,2,5]=>[3,4,1,2,5]
[3,1,4,5,2]=>[3,5,1,4,2]
[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,4,2]=>[3,4,1,5,2]
[3,2,1,4,5]=>[2,3,1,4,5]
[3,2,1,5,4]=>[2,3,1,5,4]
[3,2,4,1,5]=>[4,3,2,1,5]
[3,2,4,5,1]=>[5,3,2,4,1]
[3,2,5,1,4]=>[5,3,2,1,4]
[3,2,5,4,1]=>[4,3,2,5,1]
[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,5,2]=>[4,5,3,1,2]
[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,2,1]=>[2,5,3,4,1]
[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,4,2]=>[5,4,3,1,2]
[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,2,1]=>[2,4,3,5,1]
[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,5,3]=>[4,1,5,2,3]
[4,1,3,2,5]=>[4,3,1,2,5]
[4,1,3,5,2]=>[4,5,1,3,2]
[4,1,5,2,3]=>[4,5,2,1,3]
[4,1,5,3,2]=>[4,3,5,1,2]
[4,2,1,3,5]=>[2,4,1,3,5]
[4,2,1,5,3]=>[2,4,5,1,3]
[4,2,3,1,5]=>[3,4,2,1,5]
[4,2,3,5,1]=>[5,4,2,3,1]
[4,2,5,1,3]=>[5,4,1,2,3]
[4,2,5,3,1]=>[3,5,4,1,2]
[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,5,2]=>[3,4,5,2,1]
[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,2,1]=>[2,5,4,3,1]
[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,3,2]=>[5,3,1,4,2]
[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,3,2,1]=>[2,3,5,4,1]
[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,4,3]=>[5,1,4,2,3]
[5,1,3,2,4]=>[5,3,1,2,4]
[5,1,3,4,2]=>[5,4,1,3,2]
[5,1,4,2,3]=>[5,4,2,1,3]
[5,1,4,3,2]=>[5,3,4,1,2]
[5,2,1,3,4]=>[2,5,1,3,4]
[5,2,1,4,3]=>[2,5,4,1,3]
[5,2,3,1,4]=>[3,5,2,1,4]
[5,2,3,4,1]=>[4,5,2,3,1]
[5,2,4,1,3]=>[4,5,1,2,3]
[5,2,4,3,1]=>[3,4,5,1,2]
[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,4,2]=>[3,5,4,2,1]
[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,2,1]=>[2,4,5,3,1]
[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,3,2]=>[4,3,1,5,2]
[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,3,2,1]=>[2,3,4,5,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[1,2,6,4,5,3]=>[1,2,5,6,4,3]
[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[1,4,2,6,3,5]=>[1,4,6,2,3,5]
[1,4,2,6,5,3]=>[1,4,5,2,6,3]
[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[1,4,5,2,6,3]=>[1,5,6,4,2,3]
[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[1,5,2,3,6,4]=>[1,5,2,6,3,4]
[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[1,5,2,6,4,3]=>[1,5,4,6,2,3]
[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[1,5,3,2,6,4]=>[1,3,5,6,2,4]
[1,5,3,4,2,6]=>[1,4,5,3,2,6]
[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[1,5,3,6,2,4]=>[1,6,5,2,3,4]
[1,5,3,6,4,2]=>[1,4,6,5,2,3]
[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[1,5,4,2,6,3]=>[1,4,5,6,3,2]
[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[1,6,2,3,5,4]=>[1,6,2,5,3,4]
[1,6,2,4,3,5]=>[1,6,4,2,3,5]
[1,6,2,4,5,3]=>[1,6,5,2,4,3]
[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[1,6,2,5,4,3]=>[1,6,4,5,2,3]
[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[1,6,3,2,5,4]=>[1,3,6,5,2,4]
[1,6,3,4,2,5]=>[1,4,6,3,2,5]
[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[1,6,3,5,2,4]=>[1,5,6,2,3,4]
[1,6,3,5,4,2]=>[1,4,5,6,2,3]
[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[1,6,4,2,5,3]=>[1,4,6,5,3,2]
[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[1,6,5,2,4,3]=>[1,5,4,2,6,3]
[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]
[2,1,3,6,4,5]=>[2,1,3,6,4,5]
[2,1,3,6,5,4]=>[2,1,3,5,6,4]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]
[2,1,4,5,3,6]=>[2,1,5,4,3,6]
[2,1,4,5,6,3]=>[2,1,6,4,5,3]
[2,1,4,6,3,5]=>[2,1,6,4,3,5]
[2,1,4,6,5,3]=>[2,1,5,4,6,3]
[2,1,5,3,4,6]=>[2,1,5,3,4,6]
[2,1,5,3,6,4]=>[2,1,5,6,3,4]
[2,1,5,4,3,6]=>[2,1,4,5,3,6]
[2,1,5,4,6,3]=>[2,1,6,5,4,3]
[2,1,5,6,3,4]=>[2,1,6,3,5,4]
[2,1,5,6,4,3]=>[2,1,4,6,5,3]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]
[2,1,6,3,5,4]=>[2,1,6,5,3,4]
[2,1,6,4,3,5]=>[2,1,4,6,3,5]
[2,1,6,4,5,3]=>[2,1,5,6,4,3]
[2,1,6,5,3,4]=>[2,1,5,3,6,4]
[2,1,6,5,4,3]=>[2,1,4,5,6,3]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]
[2,3,1,6,4,5]=>[3,2,1,6,4,5]
[2,3,1,6,5,4]=>[3,2,1,5,6,4]
[2,3,4,1,5,6]=>[4,2,3,1,5,6]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]
[2,3,4,5,6,1]=>[6,2,3,4,5,1]
[2,3,4,6,1,5]=>[6,2,3,4,1,5]
[2,3,4,6,5,1]=>[5,2,3,4,6,1]
[2,3,5,1,4,6]=>[5,2,3,1,4,6]
[2,3,5,1,6,4]=>[5,2,3,6,1,4]
[2,3,5,4,1,6]=>[4,2,3,5,1,6]
[2,3,5,4,6,1]=>[6,2,3,5,4,1]
[2,3,5,6,1,4]=>[6,2,3,1,5,4]
[2,3,5,6,4,1]=>[4,2,3,6,5,1]
[2,3,6,1,4,5]=>[6,2,3,1,4,5]
[2,3,6,1,5,4]=>[6,2,3,5,1,4]
[2,3,6,4,1,5]=>[4,2,3,6,1,5]
[2,3,6,4,5,1]=>[5,2,3,6,4,1]
[2,3,6,5,1,4]=>[5,2,3,1,6,4]
[2,3,6,5,4,1]=>[4,2,3,5,6,1]
[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[2,4,1,3,6,5]=>[4,2,1,3,6,5]
[2,4,1,5,3,6]=>[4,2,5,1,3,6]
[2,4,1,5,6,3]=>[4,2,6,1,5,3]
[2,4,1,6,3,5]=>[4,2,6,1,3,5]
[2,4,1,6,5,3]=>[4,2,5,1,6,3]
[2,4,3,1,5,6]=>[3,2,4,1,5,6]
[2,4,3,1,6,5]=>[3,2,4,1,6,5]
[2,4,3,5,1,6]=>[5,2,4,3,1,6]
[2,4,3,5,6,1]=>[6,2,4,3,5,1]
[2,4,3,6,1,5]=>[6,2,4,3,1,5]
[2,4,3,6,5,1]=>[5,2,4,3,6,1]
[2,4,5,1,3,6]=>[5,2,1,4,3,6]
[2,4,5,1,6,3]=>[5,2,6,4,1,3]
[2,4,5,3,1,6]=>[3,2,5,4,1,6]
[2,4,5,3,6,1]=>[6,2,5,4,3,1]
[2,4,5,6,1,3]=>[6,2,1,4,5,3]
[2,4,5,6,3,1]=>[3,2,6,4,5,1]
[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[2,4,6,1,5,3]=>[6,2,5,4,1,3]
[2,4,6,3,1,5]=>[3,2,6,4,1,5]
[2,4,6,3,5,1]=>[5,2,6,4,3,1]
[2,4,6,5,1,3]=>[5,2,1,4,6,3]
[2,4,6,5,3,1]=>[3,2,5,4,6,1]
[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[2,5,1,3,6,4]=>[5,2,1,6,3,4]
[2,5,1,4,3,6]=>[5,2,4,1,3,6]
[2,5,1,4,6,3]=>[5,2,6,1,4,3]
[2,5,1,6,3,4]=>[5,2,6,3,1,4]
[2,5,1,6,4,3]=>[5,2,4,6,1,3]
[2,5,3,1,4,6]=>[3,2,5,1,4,6]
[2,5,3,1,6,4]=>[3,2,5,6,1,4]
[2,5,3,4,1,6]=>[4,2,5,3,1,6]
[2,5,3,4,6,1]=>[6,2,5,3,4,1]
[2,5,3,6,1,4]=>[6,2,5,1,3,4]
[2,5,3,6,4,1]=>[4,2,6,5,1,3]
[2,5,4,1,3,6]=>[4,2,1,5,3,6]
[2,5,4,1,6,3]=>[4,2,5,6,3,1]
[2,5,4,3,1,6]=>[3,2,4,5,1,6]
[2,5,4,3,6,1]=>[6,2,4,5,3,1]
[2,5,4,6,1,3]=>[6,2,1,5,4,3]
[2,5,4,6,3,1]=>[3,2,6,5,4,1]
[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[2,5,6,1,4,3]=>[6,2,4,1,5,3]
[2,5,6,3,1,4]=>[3,2,6,1,5,4]
[2,5,6,3,4,1]=>[4,2,6,3,5,1]
[2,5,6,4,1,3]=>[4,2,1,6,5,3]
[2,5,6,4,3,1]=>[3,2,4,6,5,1]
[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[2,6,1,3,5,4]=>[6,2,1,5,3,4]
[2,6,1,4,3,5]=>[6,2,4,1,3,5]
[2,6,1,4,5,3]=>[6,2,5,1,4,3]
[2,6,1,5,3,4]=>[6,2,5,3,1,4]
[2,6,1,5,4,3]=>[6,2,4,5,1,3]
[2,6,3,1,4,5]=>[3,2,6,1,4,5]
[2,6,3,1,5,4]=>[3,2,6,5,1,4]
[2,6,3,4,1,5]=>[4,2,6,3,1,5]
[2,6,3,4,5,1]=>[5,2,6,3,4,1]
[2,6,3,5,1,4]=>[5,2,6,1,3,4]
[2,6,3,5,4,1]=>[4,2,5,6,1,3]
[2,6,4,1,3,5]=>[4,2,1,6,3,5]
[2,6,4,1,5,3]=>[4,2,6,5,3,1]
[2,6,4,3,1,5]=>[3,2,4,6,1,5]
[2,6,4,3,5,1]=>[5,2,4,6,3,1]
[2,6,4,5,1,3]=>[5,2,1,6,4,3]
[2,6,4,5,3,1]=>[3,2,5,6,4,1]
[2,6,5,1,3,4]=>[5,2,1,3,6,4]
[2,6,5,1,4,3]=>[5,2,4,1,6,3]
[2,6,5,3,1,4]=>[3,2,5,1,6,4]
[2,6,5,3,4,1]=>[4,2,5,3,6,1]
[2,6,5,4,1,3]=>[4,2,1,5,6,3]
[2,6,5,4,3,1]=>[3,2,4,5,6,1]
[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[3,1,2,4,6,5]=>[3,1,2,4,6,5]
[3,1,2,5,4,6]=>[3,1,2,5,4,6]
[3,1,2,5,6,4]=>[3,1,2,6,5,4]
[3,1,2,6,4,5]=>[3,1,2,6,4,5]
[3,1,2,6,5,4]=>[3,1,2,5,6,4]
[3,1,4,2,5,6]=>[3,4,1,2,5,6]
[3,1,4,2,6,5]=>[3,4,1,2,6,5]
[3,1,4,5,2,6]=>[3,5,1,4,2,6]
[3,1,4,5,6,2]=>[3,6,1,4,5,2]
[3,1,4,6,2,5]=>[3,6,1,4,2,5]
[3,1,4,6,5,2]=>[3,5,1,4,6,2]
[3,1,5,2,4,6]=>[3,5,1,2,4,6]
[3,1,5,2,6,4]=>[3,5,1,6,2,4]
[3,1,5,4,2,6]=>[3,4,1,5,2,6]
[3,1,5,4,6,2]=>[3,6,1,5,4,2]
[3,1,5,6,2,4]=>[3,6,1,2,5,4]
[3,1,5,6,4,2]=>[3,4,1,6,5,2]
[3,1,6,2,4,5]=>[3,6,1,2,4,5]
[3,1,6,2,5,4]=>[3,6,1,5,2,4]
[3,1,6,4,2,5]=>[3,4,1,6,2,5]
[3,1,6,4,5,2]=>[3,5,1,6,4,2]
[3,1,6,5,2,4]=>[3,5,1,2,6,4]
[3,1,6,5,4,2]=>[3,4,1,5,6,2]
[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[3,2,1,4,6,5]=>[2,3,1,4,6,5]
[3,2,1,5,4,6]=>[2,3,1,5,4,6]
[3,2,1,5,6,4]=>[2,3,1,6,5,4]
[3,2,1,6,4,5]=>[2,3,1,6,4,5]
[3,2,1,6,5,4]=>[2,3,1,5,6,4]
[3,2,4,1,5,6]=>[4,3,2,1,5,6]
[3,2,4,1,6,5]=>[4,3,2,1,6,5]
[3,2,4,5,1,6]=>[5,3,2,4,1,6]
[3,2,4,5,6,1]=>[6,3,2,4,5,1]
[3,2,4,6,1,5]=>[6,3,2,4,1,5]
[3,2,4,6,5,1]=>[5,3,2,4,6,1]
[3,2,5,1,4,6]=>[5,3,2,1,4,6]
[3,2,5,1,6,4]=>[5,3,2,6,1,4]
[3,2,5,4,1,6]=>[4,3,2,5,1,6]
[3,2,5,4,6,1]=>[6,3,2,5,4,1]
[3,2,5,6,1,4]=>[6,3,2,1,5,4]
[3,2,5,6,4,1]=>[4,3,2,6,5,1]
[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[3,2,6,1,5,4]=>[6,3,2,5,1,4]
[3,2,6,4,1,5]=>[4,3,2,6,1,5]
[3,2,6,4,5,1]=>[5,3,2,6,4,1]
[3,2,6,5,1,4]=>[5,3,2,1,6,4]
[3,2,6,5,4,1]=>[4,3,2,5,6,1]
[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[3,4,1,2,6,5]=>[4,1,3,2,6,5]
[3,4,1,5,2,6]=>[4,5,3,1,2,6]
[3,4,1,5,6,2]=>[4,6,3,1,5,2]
[3,4,1,6,2,5]=>[4,6,3,1,2,5]
[3,4,1,6,5,2]=>[4,5,3,1,6,2]
[3,4,2,1,5,6]=>[2,4,3,1,5,6]
[3,4,2,1,6,5]=>[2,4,3,1,6,5]
[3,4,2,5,1,6]=>[5,4,3,2,1,6]
[3,4,2,5,6,1]=>[6,4,3,2,5,1]
[3,4,2,6,1,5]=>[6,4,3,2,1,5]
[3,4,2,6,5,1]=>[5,4,3,2,6,1]
[3,4,5,1,2,6]=>[5,1,3,4,2,6]
[3,4,5,1,6,2]=>[5,6,3,4,1,2]
[3,4,5,2,1,6]=>[2,5,3,4,1,6]
[3,4,5,2,6,1]=>[6,5,3,4,2,1]
[3,4,5,6,1,2]=>[6,1,3,4,5,2]
[3,4,5,6,2,1]=>[2,6,3,4,5,1]
[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[3,4,6,1,5,2]=>[6,5,3,4,1,2]
[3,4,6,2,1,5]=>[2,6,3,4,1,5]
[3,4,6,2,5,1]=>[5,6,3,4,2,1]
[3,4,6,5,1,2]=>[5,1,3,4,6,2]
[3,4,6,5,2,1]=>[2,5,3,4,6,1]
[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[3,5,1,2,6,4]=>[5,1,3,6,2,4]
[3,5,1,4,2,6]=>[5,4,3,1,2,6]
[3,5,1,4,6,2]=>[5,6,3,1,4,2]
[3,5,1,6,2,4]=>[5,6,3,2,1,4]
[3,5,1,6,4,2]=>[5,4,3,6,1,2]
[3,5,2,1,4,6]=>[2,5,3,1,4,6]
[3,5,2,1,6,4]=>[2,5,3,6,1,4]
[3,5,2,4,1,6]=>[4,5,3,2,1,6]
[3,5,2,4,6,1]=>[6,5,3,2,4,1]
[3,5,2,6,1,4]=>[6,5,3,1,2,4]
[3,5,2,6,4,1]=>[4,6,3,5,1,2]
[3,5,4,1,2,6]=>[4,1,3,5,2,6]
[3,5,4,1,6,2]=>[4,5,3,6,2,1]
[3,5,4,2,1,6]=>[2,4,3,5,1,6]
[3,5,4,2,6,1]=>[6,4,3,5,2,1]
[3,5,4,6,1,2]=>[6,1,3,5,4,2]
[3,5,4,6,2,1]=>[2,6,3,5,4,1]
[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[3,5,6,1,4,2]=>[6,4,3,1,5,2]
[3,5,6,2,1,4]=>[2,6,3,1,5,4]
[3,5,6,2,4,1]=>[4,6,3,2,5,1]
[3,5,6,4,1,2]=>[4,1,3,6,5,2]
[3,5,6,4,2,1]=>[2,4,3,6,5,1]
[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[3,6,1,2,5,4]=>[6,1,3,5,2,4]
[3,6,1,4,2,5]=>[6,4,3,1,2,5]
[3,6,1,4,5,2]=>[6,5,3,1,4,2]
[3,6,1,5,2,4]=>[6,5,3,2,1,4]
[3,6,1,5,4,2]=>[6,4,3,5,1,2]
[3,6,2,1,4,5]=>[2,6,3,1,4,5]
[3,6,2,1,5,4]=>[2,6,3,5,1,4]
[3,6,2,4,1,5]=>[4,6,3,2,1,5]
[3,6,2,4,5,1]=>[5,6,3,2,4,1]
[3,6,2,5,1,4]=>[5,6,3,1,2,4]
[3,6,2,5,4,1]=>[4,5,3,6,1,2]
[3,6,4,1,2,5]=>[4,1,3,6,2,5]
[3,6,4,1,5,2]=>[4,6,3,5,2,1]
[3,6,4,2,1,5]=>[2,4,3,6,1,5]
[3,6,4,2,5,1]=>[5,4,3,6,2,1]
[3,6,4,5,1,2]=>[5,1,3,6,4,2]
[3,6,4,5,2,1]=>[2,5,3,6,4,1]
[3,6,5,1,2,4]=>[5,1,3,2,6,4]
[3,6,5,1,4,2]=>[5,4,3,1,6,2]
[3,6,5,2,1,4]=>[2,5,3,1,6,4]
[3,6,5,2,4,1]=>[4,5,3,2,6,1]
[3,6,5,4,1,2]=>[4,1,3,5,6,2]
[3,6,5,4,2,1]=>[2,4,3,5,6,1]
[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[4,1,2,3,6,5]=>[4,1,2,3,6,5]
[4,1,2,5,3,6]=>[4,1,5,2,3,6]
[4,1,2,5,6,3]=>[4,1,6,2,5,3]
[4,1,2,6,3,5]=>[4,1,6,2,3,5]
[4,1,2,6,5,3]=>[4,1,5,2,6,3]
[4,1,3,2,5,6]=>[4,3,1,2,5,6]
[4,1,3,2,6,5]=>[4,3,1,2,6,5]
[4,1,3,5,2,6]=>[4,5,1,3,2,6]
[4,1,3,5,6,2]=>[4,6,1,3,5,2]
[4,1,3,6,2,5]=>[4,6,1,3,2,5]
[4,1,3,6,5,2]=>[4,5,1,3,6,2]
[4,1,5,2,3,6]=>[4,5,2,1,3,6]
[4,1,5,2,6,3]=>[4,5,6,1,2,3]
[4,1,5,3,2,6]=>[4,3,5,1,2,6]
[4,1,5,3,6,2]=>[4,6,5,1,3,2]
[4,1,5,6,2,3]=>[4,6,2,1,5,3]
[4,1,5,6,3,2]=>[4,3,6,1,5,2]
[4,1,6,2,3,5]=>[4,6,2,1,3,5]
[4,1,6,2,5,3]=>[4,6,5,1,2,3]
[4,1,6,3,2,5]=>[4,3,6,1,2,5]
[4,1,6,3,5,2]=>[4,5,6,1,3,2]
[4,1,6,5,2,3]=>[4,5,2,1,6,3]
[4,1,6,5,3,2]=>[4,3,5,1,6,2]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[4,2,1,3,6,5]=>[2,4,1,3,6,5]
[4,2,1,5,3,6]=>[2,4,5,1,3,6]
[4,2,1,5,6,3]=>[2,4,6,1,5,3]
[4,2,1,6,3,5]=>[2,4,6,1,3,5]
[4,2,1,6,5,3]=>[2,4,5,1,6,3]
[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[4,2,3,1,6,5]=>[3,4,2,1,6,5]
[4,2,3,5,1,6]=>[5,4,2,3,1,6]
[4,2,3,5,6,1]=>[6,4,2,3,5,1]
[4,2,3,6,1,5]=>[6,4,2,3,1,5]
[4,2,3,6,5,1]=>[5,4,2,3,6,1]
[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[4,2,5,1,6,3]=>[5,4,6,2,1,3]
[4,2,5,3,1,6]=>[3,5,4,1,2,6]
[4,2,5,3,6,1]=>[6,4,5,2,3,1]
[4,2,5,6,1,3]=>[6,4,1,2,5,3]
[4,2,5,6,3,1]=>[3,6,4,1,5,2]
[4,2,6,1,3,5]=>[6,4,1,2,3,5]
[4,2,6,1,5,3]=>[6,4,5,2,1,3]
[4,2,6,3,1,5]=>[3,6,4,1,2,5]
[4,2,6,3,5,1]=>[5,4,6,2,3,1]
[4,2,6,5,1,3]=>[5,4,1,2,6,3]
[4,2,6,5,3,1]=>[3,5,4,1,6,2]
[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[4,3,1,2,6,5]=>[3,1,4,2,6,5]
[4,3,1,5,2,6]=>[3,4,5,2,1,6]
[4,3,1,5,6,2]=>[3,4,6,2,5,1]
[4,3,1,6,2,5]=>[3,4,6,2,1,5]
[4,3,1,6,5,2]=>[3,4,5,2,6,1]
[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[4,3,2,1,6,5]=>[2,3,4,1,6,5]
[4,3,2,5,1,6]=>[5,3,4,2,1,6]
[4,3,2,5,6,1]=>[6,3,4,2,5,1]
[4,3,2,6,1,5]=>[6,3,4,2,1,5]
[4,3,2,6,5,1]=>[5,3,4,2,6,1]
[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[4,3,5,1,6,2]=>[5,6,4,3,1,2]
[4,3,5,2,1,6]=>[2,5,4,3,1,6]
[4,3,5,2,6,1]=>[6,5,4,3,2,1]
[4,3,5,6,1,2]=>[6,1,4,3,5,2]
[4,3,5,6,2,1]=>[2,6,4,3,5,1]
[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[4,3,6,1,5,2]=>[6,5,4,3,1,2]
[4,3,6,2,1,5]=>[2,6,4,3,1,5]
[4,3,6,2,5,1]=>[5,6,4,3,2,1]
[4,3,6,5,1,2]=>[5,1,4,3,6,2]
[4,3,6,5,2,1]=>[2,5,4,3,6,1]
[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[4,5,1,2,6,3]=>[5,1,6,4,2,3]
[4,5,1,3,2,6]=>[5,3,1,4,2,6]
[4,5,1,3,6,2]=>[5,6,1,4,3,2]
[4,5,1,6,2,3]=>[5,6,2,4,1,3]
[4,5,1,6,3,2]=>[5,3,6,4,1,2]
[4,5,2,1,3,6]=>[2,5,1,4,3,6]
[4,5,2,1,6,3]=>[2,5,6,4,1,3]
[4,5,2,3,1,6]=>[3,5,2,4,1,6]
[4,5,2,3,6,1]=>[6,5,2,4,3,1]
[4,5,2,6,1,3]=>[6,5,1,4,2,3]
[4,5,2,6,3,1]=>[3,6,5,4,1,2]
[4,5,3,1,2,6]=>[3,1,5,4,2,6]
[4,5,3,1,6,2]=>[3,5,6,4,2,1]
[4,5,3,2,1,6]=>[2,3,5,4,1,6]
[4,5,3,2,6,1]=>[6,3,5,4,2,1]
[4,5,3,6,1,2]=>[6,1,5,4,3,2]
[4,5,3,6,2,1]=>[2,6,5,4,3,1]
[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[4,5,6,1,3,2]=>[6,3,1,4,5,2]
[4,5,6,2,1,3]=>[2,6,1,4,5,3]
[4,5,6,2,3,1]=>[3,6,2,4,5,1]
[4,5,6,3,1,2]=>[3,1,6,4,5,2]
[4,5,6,3,2,1]=>[2,3,6,4,5,1]
[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[4,6,1,2,5,3]=>[6,1,5,4,2,3]
[4,6,1,3,2,5]=>[6,3,1,4,2,5]
[4,6,1,3,5,2]=>[6,5,1,4,3,2]
[4,6,1,5,2,3]=>[6,5,2,4,1,3]
[4,6,1,5,3,2]=>[6,3,5,4,1,2]
[4,6,2,1,3,5]=>[2,6,1,4,3,5]
[4,6,2,1,5,3]=>[2,6,5,4,1,3]
[4,6,2,3,1,5]=>[3,6,2,4,1,5]
[4,6,2,3,5,1]=>[5,6,2,4,3,1]
[4,6,2,5,1,3]=>[5,6,1,4,2,3]
[4,6,2,5,3,1]=>[3,5,6,4,1,2]
[4,6,3,1,2,5]=>[3,1,6,4,2,5]
[4,6,3,1,5,2]=>[3,6,5,4,2,1]
[4,6,3,2,1,5]=>[2,3,6,4,1,5]
[4,6,3,2,5,1]=>[5,3,6,4,2,1]
[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[4,6,3,5,2,1]=>[2,5,6,4,3,1]
[4,6,5,1,2,3]=>[5,1,2,4,6,3]
[4,6,5,1,3,2]=>[5,3,1,4,6,2]
[4,6,5,2,1,3]=>[2,5,1,4,6,3]
[4,6,5,2,3,1]=>[3,5,2,4,6,1]
[4,6,5,3,1,2]=>[3,1,5,4,6,2]
[4,6,5,3,2,1]=>[2,3,5,4,6,1]
[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[5,1,2,3,6,4]=>[5,1,2,6,3,4]
[5,1,2,4,3,6]=>[5,1,4,2,3,6]
[5,1,2,4,6,3]=>[5,1,6,2,4,3]
[5,1,2,6,3,4]=>[5,1,6,3,2,4]
[5,1,2,6,4,3]=>[5,1,4,6,2,3]
[5,1,3,2,4,6]=>[5,3,1,2,4,6]
[5,1,3,2,6,4]=>[5,3,1,6,2,4]
[5,1,3,4,2,6]=>[5,4,1,3,2,6]
[5,1,3,4,6,2]=>[5,6,1,3,4,2]
[5,1,3,6,2,4]=>[5,6,1,2,3,4]
[5,1,3,6,4,2]=>[5,4,1,6,3,2]
[5,1,4,2,3,6]=>[5,4,2,1,3,6]
[5,1,4,2,6,3]=>[5,4,6,1,2,3]
[5,1,4,3,2,6]=>[5,3,4,1,2,6]
[5,1,4,3,6,2]=>[5,6,4,1,3,2]
[5,1,4,6,2,3]=>[5,6,2,1,4,3]
[5,1,4,6,3,2]=>[5,3,6,1,4,2]
[5,1,6,2,3,4]=>[5,6,2,3,1,4]
[5,1,6,2,4,3]=>[5,6,4,2,1,3]
[5,1,6,3,2,4]=>[5,3,6,2,1,4]
[5,1,6,3,4,2]=>[5,4,6,3,1,2]
[5,1,6,4,2,3]=>[5,4,2,6,1,3]
[5,1,6,4,3,2]=>[5,3,4,6,1,2]
[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[5,2,1,3,6,4]=>[2,5,1,6,3,4]
[5,2,1,4,3,6]=>[2,5,4,1,3,6]
[5,2,1,4,6,3]=>[2,5,6,1,4,3]
[5,2,1,6,3,4]=>[2,5,6,3,1,4]
[5,2,1,6,4,3]=>[2,5,4,6,1,3]
[5,2,3,1,4,6]=>[3,5,2,1,4,6]
[5,2,3,1,6,4]=>[3,5,2,6,1,4]
[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[5,2,3,4,6,1]=>[6,5,2,3,4,1]
[5,2,3,6,1,4]=>[6,5,2,1,3,4]
[5,2,3,6,4,1]=>[4,6,1,5,3,2]
[5,2,4,1,3,6]=>[4,5,1,2,3,6]
[5,2,4,1,6,3]=>[4,5,6,2,1,3]
[5,2,4,3,1,6]=>[3,4,5,1,2,6]
[5,2,4,3,6,1]=>[6,5,4,2,3,1]
[5,2,4,6,1,3]=>[6,5,1,2,4,3]
[5,2,4,6,3,1]=>[3,6,5,1,4,2]
[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[5,2,6,1,4,3]=>[6,5,4,1,2,3]
[5,2,6,3,1,4]=>[3,6,5,2,1,4]
[5,2,6,3,4,1]=>[4,5,6,3,2,1]
[5,2,6,4,1,3]=>[4,6,2,5,1,3]
[5,2,6,4,3,1]=>[3,4,6,5,2,1]
[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[5,3,1,2,6,4]=>[3,1,5,6,2,4]
[5,3,1,4,2,6]=>[3,5,4,2,1,6]
[5,3,1,4,6,2]=>[3,5,6,2,4,1]
[5,3,1,6,2,4]=>[3,5,6,1,2,4]
[5,3,1,6,4,2]=>[3,5,4,6,2,1]
[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[5,3,2,1,6,4]=>[2,3,5,6,1,4]
[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[5,3,2,4,6,1]=>[6,3,5,2,4,1]
[5,3,2,6,1,4]=>[6,3,5,1,2,4]
[5,3,2,6,4,1]=>[4,3,6,5,1,2]
[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[5,3,4,1,6,2]=>[4,6,5,3,1,2]
[5,3,4,2,1,6]=>[2,4,5,3,1,6]
[5,3,4,2,6,1]=>[6,4,5,3,2,1]
[5,3,4,6,1,2]=>[6,1,5,3,4,2]
[5,3,4,6,2,1]=>[2,6,5,3,4,1]
[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[5,3,6,1,4,2]=>[6,4,5,1,3,2]
[5,3,6,2,1,4]=>[2,6,5,1,3,4]
[5,3,6,2,4,1]=>[4,6,5,2,3,1]
[5,3,6,4,1,2]=>[4,1,6,5,2,3]
[5,3,6,4,2,1]=>[2,4,6,5,1,3]
[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[5,4,1,2,6,3]=>[4,1,5,6,3,2]
[5,4,1,3,2,6]=>[4,3,1,5,2,6]
[5,4,1,3,6,2]=>[4,5,2,6,3,1]
[5,4,1,6,2,3]=>[4,5,1,6,2,3]
[5,4,1,6,3,2]=>[4,3,5,6,2,1]
[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[5,4,2,1,6,3]=>[2,4,5,6,3,1]
[5,4,2,3,1,6]=>[3,4,2,5,1,6]
[5,4,2,3,6,1]=>[6,4,2,5,3,1]
[5,4,2,6,1,3]=>[6,4,1,5,2,3]
[5,4,2,6,3,1]=>[3,6,4,5,1,2]
[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[5,4,3,1,6,2]=>[3,4,5,6,1,2]
[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[5,4,3,2,6,1]=>[6,3,4,5,2,1]
[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[5,4,3,6,2,1]=>[2,6,4,5,3,1]
[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[5,4,6,1,3,2]=>[6,3,1,5,4,2]
[5,4,6,2,1,3]=>[2,6,1,5,4,3]
[5,4,6,2,3,1]=>[3,6,2,5,4,1]
[5,4,6,3,1,2]=>[3,1,6,5,4,2]
[5,4,6,3,2,1]=>[2,3,6,5,4,1]
[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[5,6,1,2,4,3]=>[6,1,4,2,5,3]
[5,6,1,3,2,4]=>[6,3,1,2,5,4]
[5,6,1,3,4,2]=>[6,4,1,3,5,2]
[5,6,1,4,2,3]=>[6,4,2,1,5,3]
[5,6,1,4,3,2]=>[6,3,4,1,5,2]
[5,6,2,1,3,4]=>[2,6,1,3,5,4]
[5,6,2,1,4,3]=>[2,6,4,1,5,3]
[5,6,2,3,1,4]=>[3,6,2,1,5,4]
[5,6,2,3,4,1]=>[4,6,2,3,5,1]
[5,6,2,4,1,3]=>[4,6,1,2,5,3]
[5,6,2,4,3,1]=>[3,4,6,1,5,2]
[5,6,3,1,2,4]=>[3,1,6,2,5,4]
[5,6,3,1,4,2]=>[3,6,4,2,5,1]
[5,6,3,2,1,4]=>[2,3,6,1,5,4]
[5,6,3,2,4,1]=>[4,3,6,2,5,1]
[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[5,6,3,4,2,1]=>[2,4,6,3,5,1]
[5,6,4,1,2,3]=>[4,1,2,6,5,3]
[5,6,4,1,3,2]=>[4,3,1,6,5,2]
[5,6,4,2,1,3]=>[2,4,1,6,5,3]
[5,6,4,2,3,1]=>[3,4,2,6,5,1]
[5,6,4,3,1,2]=>[3,1,4,6,5,2]
[5,6,4,3,2,1]=>[2,3,4,6,5,1]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[6,1,2,3,5,4]=>[6,1,2,5,3,4]
[6,1,2,4,3,5]=>[6,1,4,2,3,5]
[6,1,2,4,5,3]=>[6,1,5,2,4,3]
[6,1,2,5,3,4]=>[6,1,5,3,2,4]
[6,1,2,5,4,3]=>[6,1,4,5,2,3]
[6,1,3,2,4,5]=>[6,3,1,2,4,5]
[6,1,3,2,5,4]=>[6,3,1,5,2,4]
[6,1,3,4,2,5]=>[6,4,1,3,2,5]
[6,1,3,4,5,2]=>[6,5,1,3,4,2]
[6,1,3,5,2,4]=>[6,5,1,2,3,4]
[6,1,3,5,4,2]=>[6,4,1,5,3,2]
[6,1,4,2,3,5]=>[6,4,2,1,3,5]
[6,1,4,2,5,3]=>[6,4,5,1,2,3]
[6,1,4,3,2,5]=>[6,3,4,1,2,5]
[6,1,4,3,5,2]=>[6,5,4,1,3,2]
[6,1,4,5,2,3]=>[6,5,2,1,4,3]
[6,1,4,5,3,2]=>[6,3,5,1,4,2]
[6,1,5,2,3,4]=>[6,5,2,3,1,4]
[6,1,5,2,4,3]=>[6,5,4,2,1,3]
[6,1,5,3,2,4]=>[6,3,5,2,1,4]
[6,1,5,3,4,2]=>[6,4,5,3,1,2]
[6,1,5,4,2,3]=>[6,4,2,5,1,3]
[6,1,5,4,3,2]=>[6,3,4,5,1,2]
[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[6,2,1,3,5,4]=>[2,6,1,5,3,4]
[6,2,1,4,3,5]=>[2,6,4,1,3,5]
[6,2,1,4,5,3]=>[2,6,5,1,4,3]
[6,2,1,5,3,4]=>[2,6,5,3,1,4]
[6,2,1,5,4,3]=>[2,6,4,5,1,3]
[6,2,3,1,4,5]=>[3,6,2,1,4,5]
[6,2,3,1,5,4]=>[3,6,2,5,1,4]
[6,2,3,4,1,5]=>[4,6,2,3,1,5]
[6,2,3,4,5,1]=>[5,6,2,3,4,1]
[6,2,3,5,1,4]=>[5,6,2,1,3,4]
[6,2,3,5,4,1]=>[4,5,1,6,3,2]
[6,2,4,1,3,5]=>[4,6,1,2,3,5]
[6,2,4,1,5,3]=>[4,6,5,2,1,3]
[6,2,4,3,1,5]=>[3,4,6,1,2,5]
[6,2,4,3,5,1]=>[5,6,4,2,3,1]
[6,2,4,5,1,3]=>[5,6,1,2,4,3]
[6,2,4,5,3,1]=>[3,5,6,1,4,2]
[6,2,5,1,3,4]=>[5,6,1,3,2,4]
[6,2,5,1,4,3]=>[5,6,4,1,2,3]
[6,2,5,3,1,4]=>[3,5,6,2,1,4]
[6,2,5,3,4,1]=>[4,6,5,3,2,1]
[6,2,5,4,1,3]=>[4,5,2,6,1,3]
[6,2,5,4,3,1]=>[3,4,5,6,2,1]
[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[6,3,1,2,5,4]=>[3,1,6,5,2,4]
[6,3,1,4,2,5]=>[3,6,4,2,1,5]
[6,3,1,4,5,2]=>[3,6,5,2,4,1]
[6,3,1,5,2,4]=>[3,6,5,1,2,4]
[6,3,1,5,4,2]=>[3,6,4,5,2,1]
[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[6,3,2,1,5,4]=>[2,3,6,5,1,4]
[6,3,2,4,1,5]=>[4,3,6,2,1,5]
[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[6,3,2,5,1,4]=>[5,3,6,1,2,4]
[6,3,2,5,4,1]=>[4,3,5,6,1,2]
[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[6,3,4,1,5,2]=>[4,5,6,3,1,2]
[6,3,4,2,1,5]=>[2,4,6,3,1,5]
[6,3,4,2,5,1]=>[5,4,6,3,2,1]
[6,3,4,5,1,2]=>[5,1,6,3,4,2]
[6,3,4,5,2,1]=>[2,5,6,3,4,1]
[6,3,5,1,2,4]=>[5,1,6,2,3,4]
[6,3,5,1,4,2]=>[5,4,6,1,3,2]
[6,3,5,2,1,4]=>[2,5,6,1,3,4]
[6,3,5,2,4,1]=>[4,5,6,2,3,1]
[6,3,5,4,1,2]=>[4,1,5,6,2,3]
[6,3,5,4,2,1]=>[2,4,5,6,1,3]
[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[6,4,1,2,5,3]=>[4,1,6,5,3,2]
[6,4,1,3,2,5]=>[4,3,1,6,2,5]
[6,4,1,3,5,2]=>[4,6,2,5,3,1]
[6,4,1,5,2,3]=>[4,6,1,5,2,3]
[6,4,1,5,3,2]=>[4,3,6,5,2,1]
[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[6,4,2,1,5,3]=>[2,4,6,5,3,1]
[6,4,2,3,1,5]=>[3,4,2,6,1,5]
[6,4,2,3,5,1]=>[5,4,2,6,3,1]
[6,4,2,5,1,3]=>[5,4,1,6,2,3]
[6,4,2,5,3,1]=>[3,5,4,6,1,2]
[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[6,4,3,1,5,2]=>[3,4,6,5,1,2]
[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[6,4,3,5,1,2]=>[5,1,4,6,3,2]
[6,4,3,5,2,1]=>[2,5,4,6,3,1]
[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[6,4,5,1,3,2]=>[5,3,1,6,4,2]
[6,4,5,2,1,3]=>[2,5,1,6,4,3]
[6,4,5,2,3,1]=>[3,5,2,6,4,1]
[6,4,5,3,1,2]=>[3,1,5,6,4,2]
[6,4,5,3,2,1]=>[2,3,5,6,4,1]
[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[6,5,1,2,4,3]=>[5,1,4,2,6,3]
[6,5,1,3,2,4]=>[5,3,1,2,6,4]
[6,5,1,3,4,2]=>[5,4,1,3,6,2]
[6,5,1,4,2,3]=>[5,4,2,1,6,3]
[6,5,1,4,3,2]=>[5,3,4,1,6,2]
[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[6,5,2,1,4,3]=>[2,5,4,1,6,3]
[6,5,2,3,1,4]=>[3,5,2,1,6,4]
[6,5,2,3,4,1]=>[4,5,2,3,6,1]
[6,5,2,4,1,3]=>[4,5,1,2,6,3]
[6,5,2,4,3,1]=>[3,4,5,1,6,2]
[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[6,5,3,1,4,2]=>[3,5,4,2,6,1]
[6,5,3,2,1,4]=>[2,3,5,1,6,4]
[6,5,3,2,4,1]=>[4,3,5,2,6,1]
[6,5,3,4,1,2]=>[4,1,5,3,6,2]
[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[6,5,4,1,3,2]=>[4,3,1,5,6,2]
[6,5,4,2,1,3]=>[2,4,1,5,6,3]
[6,5,4,2,3,1]=>[3,4,2,5,6,1]
[6,5,4,3,1,2]=>[3,1,4,5,6,2]
[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]
[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]
[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]
[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]
[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]
[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]
[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4]
[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]
[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]
[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]
[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]
[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]
[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]
[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]
[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]
[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]
[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]
[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]
[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]
[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]
[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4]
[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]
[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]
[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]
[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]
[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]
[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]
[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]
[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]
[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]
[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]
[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]
[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]
[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]
[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]
[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]
[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]
[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]
[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]
[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]
[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]
[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4]
[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]
[1,2,6,4,3,7,5]=>[1,2,4,6,7,3,5]
[1,2,6,4,5,3,7]=>[1,2,5,6,4,3,7]
[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]
[1,2,6,4,7,3,5]=>[1,2,7,6,3,4,5]
[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4]
[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]
[1,2,6,5,3,7,4]=>[1,2,5,6,7,4,3]
[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]
[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]
[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]
[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]
[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]
[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]
[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]
[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]
[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]
[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]
[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]
[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]
[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]
[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]
[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4]
[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]
[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5]
[1,2,7,4,5,3,6]=>[1,2,5,7,4,3,6]
[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]
[1,2,7,4,6,3,5]=>[1,2,6,7,3,4,5]
[1,2,7,4,6,5,3]=>[1,2,5,6,7,3,4]
[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]
[1,2,7,5,3,6,4]=>[1,2,5,7,6,4,3]
[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]
[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]
[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]
[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]
[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]
[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4]
[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]
[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]
[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]
[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]
[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]
[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]
[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]
[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]
[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]
[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]
[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]
[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]
[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4]
[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]
[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]
[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]
[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]
[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]
[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]
[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]
[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]
[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]
[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]
[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]
[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]
[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]
[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]
[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]
[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]
[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]
[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]
[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]
[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]
[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4]
[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]
[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]
[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]
[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]
[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]
[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]
[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]
[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]
[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]
[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]
[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]
[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]
[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]
[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]
[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]
[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]
[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]
[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]
[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]
[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4]
[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]
[1,3,6,4,2,7,5]=>[1,4,3,6,7,2,5]
[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]
[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]
[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]
[1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4]
[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]
[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2]
[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]
[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]
[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]
[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]
[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]
[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]
[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]
[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]
[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]
[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]
[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]
[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]
[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]
[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]
[1,3,7,2,6,5,4]=>[1,7,3,5,6,2,4]
[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]
[1,3,7,4,2,6,5]=>[1,4,3,7,6,2,5]
[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]
[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]
[1,3,7,4,6,2,5]=>[1,6,3,7,2,4,5]
[1,3,7,4,6,5,2]=>[1,5,3,6,7,2,4]
[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]
[1,3,7,5,2,6,4]=>[1,5,3,7,6,4,2]
[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]
[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]
[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]
[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]
[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]
[1,3,7,6,2,5,4]=>[1,6,3,5,2,7,4]
[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]
[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]
[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]
[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]
[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]
[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]
[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]
[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]
[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]
[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]
[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]
[1,4,2,5,7,6,3]=>[1,4,6,2,5,7,3]
[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]
[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]
[1,4,2,6,5,3,7]=>[1,4,5,2,6,3,7]
[1,4,2,6,5,7,3]=>[1,4,7,2,6,5,3]
[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]
[1,4,2,6,7,5,3]=>[1,4,5,2,7,6,3]
[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]
[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]
[1,4,2,7,5,3,6]=>[1,4,5,2,7,3,6]
[1,4,2,7,5,6,3]=>[1,4,6,2,7,5,3]
[1,4,2,7,6,3,5]=>[1,4,6,2,3,7,5]
[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3]
[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]
[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]
[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]
[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]
[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]
[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]
[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]
[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]
[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]
[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]
[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]
[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]
[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]
[1,4,3,6,2,7,5]=>[1,6,4,3,7,2,5]
[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]
[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]
[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]
[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]
[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]
[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5]
[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]
[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]
[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]
[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]
[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]
[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]
[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]
[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]
[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3]
[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]
[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]
[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]
[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]
[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]
[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]
[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]
[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]
[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]
[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]
[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]
[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]
[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]
[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]
[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]
[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]
[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]
[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]
[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]
[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]
[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]
[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]
[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3]
[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]
[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5]
[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]
[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]
[1,4,6,3,7,2,5]=>[1,7,6,4,2,3,5]
[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3]
[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]
[1,4,6,5,2,7,3]=>[1,5,6,4,7,3,2]
[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]
[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]
[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]
[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]
[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]
[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]
[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]
[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]
[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]
[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]
[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]
[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]
[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]
[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]
[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]
[1,4,7,2,6,5,3]=>[1,7,5,4,6,2,3]
[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]
[1,4,7,3,2,6,5]=>[1,3,7,4,6,2,5]
[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]
[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]
[1,4,7,3,6,2,5]=>[1,6,7,4,2,3,5]
[1,4,7,3,6,5,2]=>[1,5,6,4,7,2,3]
[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]
[1,4,7,5,2,6,3]=>[1,5,7,4,6,3,2]
[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]
[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]
[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]
[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]
[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]
[1,4,7,6,2,5,3]=>[1,6,5,4,2,7,3]
[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]
[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]
[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]
[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]
[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]
[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]
[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]
[1,5,2,3,7,6,4]=>[1,5,2,6,3,7,4]
[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]
[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]
[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]
[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]
[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]
[1,5,2,4,7,6,3]=>[1,5,6,2,4,7,3]
[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]
[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]
[1,5,2,6,4,3,7]=>[1,5,4,6,2,3,7]
[1,5,2,6,4,7,3]=>[1,5,7,6,2,4,3]
[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]
[1,5,2,6,7,4,3]=>[1,5,4,7,2,6,3]
[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]
[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]
[1,5,2,7,4,3,6]=>[1,5,4,7,2,3,6]
[1,5,2,7,4,6,3]=>[1,5,6,7,2,4,3]
[1,5,2,7,6,3,4]=>[1,5,6,3,2,7,4]
[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3]
[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]
[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]
[1,5,3,2,6,4,7]=>[1,3,5,6,2,4,7]
[1,5,3,2,6,7,4]=>[1,3,5,7,2,6,4]
[1,5,3,2,7,4,6]=>[1,3,5,7,2,4,6]
[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4]
[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]
[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]
[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]
[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]
[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]
[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]
[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]
[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]
[1,5,3,6,4,2,7]=>[1,4,6,5,2,3,7]
[1,5,3,6,4,7,2]=>[1,7,5,6,3,4,2]
[1,5,3,6,7,2,4]=>[1,7,5,2,3,6,4]
[1,5,3,6,7,4,2]=>[1,4,7,5,2,6,3]
[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]
[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]
[1,5,3,7,4,2,6]=>[1,4,7,5,2,3,6]
[1,5,3,7,4,6,2]=>[1,6,5,7,3,4,2]
[1,5,3,7,6,2,4]=>[1,6,5,2,3,7,4]
[1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3]
[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]
[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]
[1,5,4,2,6,3,7]=>[1,4,5,6,3,2,7]
[1,5,4,2,6,7,3]=>[1,4,5,7,3,6,2]
[1,5,4,2,7,3,6]=>[1,4,5,7,3,2,6]
[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2]
[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]
[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]
[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]
[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]
[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]
[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]
[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]
[1,5,4,6,2,7,3]=>[1,6,7,5,4,2,3]
[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]
[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]
[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]
[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]
[1,5,4,7,2,6,3]=>[1,7,6,5,4,2,3]
[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]
[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]
[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]
[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]
[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]
[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]
[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]
[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]
[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]
[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3]
[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]
[1,5,6,3,2,7,4]=>[1,3,6,7,5,2,4]
[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]
[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]
[1,5,6,3,7,2,4]=>[1,7,6,2,5,3,4]
[1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3]
[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]
[1,5,6,4,2,7,3]=>[1,4,6,7,5,3,2]
[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]
[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]
[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]
[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]
[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]
[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]
[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]
[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]
[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]
[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]
[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]
[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]
[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]
[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]
[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]
[1,5,7,2,6,4,3]=>[1,7,4,6,5,2,3]
[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]
[1,5,7,3,2,6,4]=>[1,3,7,6,5,2,4]
[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]
[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]
[1,5,7,3,6,2,4]=>[1,6,7,2,5,3,4]
[1,5,7,3,6,4,2]=>[1,4,6,7,5,2,3]
[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]
[1,5,7,4,2,6,3]=>[1,4,7,6,5,3,2]
[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]
[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]
[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]
[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]
[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]
[1,5,7,6,2,4,3]=>[1,6,4,2,5,7,3]
[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]
[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]
[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]
[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]
[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]
[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]
[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]
[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]
[1,6,2,3,7,5,4]=>[1,6,2,5,7,3,4]
[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]
[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]
[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]
[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]
[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]
[1,6,2,4,7,5,3]=>[1,6,5,2,7,4,3]
[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]
[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]
[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7]
[1,6,2,5,4,7,3]=>[1,6,7,5,2,4,3]
[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]
[1,6,2,5,7,4,3]=>[1,6,4,7,2,5,3]
[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]
[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]
[1,6,2,7,4,3,5]=>[1,6,4,7,3,2,5]
[1,6,2,7,4,5,3]=>[1,6,5,7,4,2,3]
[1,6,2,7,5,3,4]=>[1,6,5,3,7,2,4]
[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3]
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]
[1,6,3,2,4,7,5]=>[1,3,6,2,7,4,5]
[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7]
[1,6,3,2,5,7,4]=>[1,3,6,7,2,5,4]
[1,6,3,2,7,4,5]=>[1,3,6,7,4,2,5]
[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4]
[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]
[1,6,3,4,2,7,5]=>[1,4,6,3,7,2,5]
[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]
[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]
[1,6,3,4,7,2,5]=>[1,7,6,3,2,4,5]
[1,6,3,4,7,5,2]=>[1,5,7,2,6,4,3]
[1,6,3,5,2,4,7]=>[1,5,6,2,3,4,7]
[1,6,3,5,2,7,4]=>[1,5,6,7,3,2,4]
[1,6,3,5,4,2,7]=>[1,4,5,6,2,3,7]
[1,6,3,5,4,7,2]=>[1,7,6,5,3,4,2]
[1,6,3,5,7,2,4]=>[1,7,6,2,3,5,4]
[1,6,3,5,7,4,2]=>[1,4,7,6,2,5,3]
[1,6,3,7,2,4,5]=>[1,7,6,2,4,3,5]
[1,6,3,7,2,5,4]=>[1,7,6,5,2,3,4]
[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]
[1,6,3,7,4,5,2]=>[1,5,6,7,4,3,2]
[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]
[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]
[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]
[1,6,4,2,3,7,5]=>[1,4,2,6,7,3,5]
[1,6,4,2,5,3,7]=>[1,4,6,5,3,2,7]
[1,6,4,2,5,7,3]=>[1,4,6,7,3,5,2]
[1,6,4,2,7,3,5]=>[1,4,6,7,2,3,5]
[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2]
[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]
[1,6,4,3,2,7,5]=>[1,3,4,6,7,2,5]
[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]
[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]
[1,6,4,3,7,2,5]=>[1,7,4,6,2,3,5]
[1,6,4,3,7,5,2]=>[1,5,4,7,6,2,3]
[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]
[1,6,4,5,2,7,3]=>[1,5,7,6,4,2,3]
[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]
[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]
[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]
[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]
[1,6,4,7,2,3,5]=>[1,7,2,6,3,4,5]
[1,6,4,7,2,5,3]=>[1,7,5,6,2,4,3]
[1,6,4,7,3,2,5]=>[1,3,7,6,2,4,5]
[1,6,4,7,3,5,2]=>[1,5,7,6,3,4,2]
[1,6,4,7,5,2,3]=>[1,5,2,7,6,3,4]
[1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4]
[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]
[1,6,5,2,3,7,4]=>[1,5,2,6,7,4,3]
[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7]
[1,6,5,2,4,7,3]=>[1,5,6,3,7,4,2]
[1,6,5,2,7,3,4]=>[1,5,6,2,7,3,4]
[1,6,5,2,7,4,3]=>[1,5,4,6,7,3,2]
[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]
[1,6,5,3,2,7,4]=>[1,3,5,6,7,4,2]
[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]
[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]
[1,6,5,3,7,2,4]=>[1,7,5,2,6,3,4]
[1,6,5,3,7,4,2]=>[1,4,7,5,6,2,3]
[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]
[1,6,5,4,2,7,3]=>[1,4,5,6,7,2,3]
[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]
[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]
[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]
[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]
[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]
[1,6,5,7,2,4,3]=>[1,7,4,2,6,5,3]
[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]
[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]
[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]
[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]
[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]
[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]
[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]
[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]
[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]
[1,6,7,2,5,4,3]=>[1,7,4,5,2,6,3]
[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]
[1,6,7,3,2,5,4]=>[1,3,7,5,2,6,4]
[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]
[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]
[1,6,7,3,5,2,4]=>[1,5,7,2,3,6,4]
[1,6,7,3,5,4,2]=>[1,4,5,7,2,6,3]
[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]
[1,6,7,4,2,5,3]=>[1,4,7,5,3,6,2]
[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]
[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]
[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]
[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]
[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]
[1,6,7,5,2,4,3]=>[1,5,4,2,7,6,3]
[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]
[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]
[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]
[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]
[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]
[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]
[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]
[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]
[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4]
[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]
[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]
[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]
[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]
[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]
[1,7,2,4,6,5,3]=>[1,7,5,2,6,4,3]
[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]
[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]
[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6]
[1,7,2,5,4,6,3]=>[1,7,6,5,2,4,3]
[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]
[1,7,2,5,6,4,3]=>[1,7,4,6,2,5,3]
[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]
[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]
[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5]
[1,7,2,6,4,5,3]=>[1,7,5,6,4,2,3]
[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4]
[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3]
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]
[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5]
[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6]
[1,7,3,2,5,6,4]=>[1,3,7,6,2,5,4]
[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5]
[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4]
[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]
[1,7,3,4,2,6,5]=>[1,4,7,3,6,2,5]
[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]
[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]
[1,7,3,4,6,2,5]=>[1,6,7,3,2,4,5]
[1,7,3,4,6,5,2]=>[1,5,6,2,7,4,3]
[1,7,3,5,2,4,6]=>[1,5,7,2,3,4,6]
[1,7,3,5,2,6,4]=>[1,5,7,6,3,2,4]
[1,7,3,5,4,2,6]=>[1,4,5,7,2,3,6]
[1,7,3,5,4,6,2]=>[1,6,7,5,3,4,2]
[1,7,3,5,6,2,4]=>[1,6,7,2,3,5,4]
[1,7,3,5,6,4,2]=>[1,4,6,7,2,5,3]
[1,7,3,6,2,4,5]=>[1,6,7,2,4,3,5]
[1,7,3,6,2,5,4]=>[1,6,7,5,2,3,4]
[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]
[1,7,3,6,4,5,2]=>[1,5,7,6,4,3,2]
[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]
[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]
[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5]
[1,7,4,2,5,3,6]=>[1,4,7,5,3,2,6]
[1,7,4,2,5,6,3]=>[1,4,7,6,3,5,2]
[1,7,4,2,6,3,5]=>[1,4,7,6,2,3,5]
[1,7,4,2,6,5,3]=>[1,4,7,5,6,3,2]
[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]
[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5]
[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]
[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]
[1,7,4,3,6,2,5]=>[1,6,4,7,2,3,5]
[1,7,4,3,6,5,2]=>[1,5,4,6,7,2,3]
[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]
[1,7,4,5,2,6,3]=>[1,5,6,7,4,2,3]
[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]
[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]
[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]
[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]
[1,7,4,6,2,3,5]=>[1,6,2,7,3,4,5]
[1,7,4,6,2,5,3]=>[1,6,5,7,2,4,3]
[1,7,4,6,3,2,5]=>[1,3,6,7,2,4,5]
[1,7,4,6,3,5,2]=>[1,5,6,7,3,4,2]
[1,7,4,6,5,2,3]=>[1,5,2,6,7,3,4]
[1,7,4,6,5,3,2]=>[1,3,5,6,7,2,4]
[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]
[1,7,5,2,3,6,4]=>[1,5,2,7,6,4,3]
[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6]
[1,7,5,2,4,6,3]=>[1,5,7,3,6,4,2]
[1,7,5,2,6,3,4]=>[1,5,7,2,6,3,4]
[1,7,5,2,6,4,3]=>[1,5,4,7,6,3,2]
[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]
[1,7,5,3,2,6,4]=>[1,3,5,7,6,4,2]
[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]
[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]
[1,7,5,3,6,2,4]=>[1,6,5,2,7,3,4]
[1,7,5,3,6,4,2]=>[1,4,6,5,7,2,3]
[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]
[1,7,5,4,2,6,3]=>[1,4,5,7,6,2,3]
[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]
[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]
[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]
[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]
[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]
[1,7,5,6,2,4,3]=>[1,6,4,2,7,5,3]
[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]
[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]
[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]
[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]
[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]
[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4]
[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5]
[1,7,6,2,4,5,3]=>[1,6,5,2,4,7,3]
[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4]
[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3]
[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]
[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4]
[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]
[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]
[1,7,6,3,5,2,4]=>[1,5,6,2,3,7,4]
[1,7,6,3,5,4,2]=>[1,4,5,6,2,7,3]
[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]
[1,7,6,4,2,5,3]=>[1,4,6,5,3,7,2]
[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]
[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]
[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]
[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]
[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]
[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3]
[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]
[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]
[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]
[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]
[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]
[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]
[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]
[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]
[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]
[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]
[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]
[2,1,3,7,4,6,5]=>[2,1,3,7,6,4,5]
[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]
[2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4]
[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]
[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]
[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]
[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]
[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]
[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]
[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]
[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]
[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]
[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]
[2,1,4,7,3,6,5]=>[2,1,7,4,6,3,5]
[2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]
[2,1,4,7,5,6,3]=>[2,1,6,4,7,5,3]
[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]
[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]
[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]
[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]
[2,1,5,3,7,4,6]=>[2,1,5,7,3,4,6]
[2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4]
[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]
[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]
[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]
[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]
[2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6]
[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]
[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]
[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]
[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]
[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]
[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]
[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]
[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]
[2,1,5,7,3,6,4]=>[2,1,7,6,5,3,4]
[2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6]
[2,1,5,7,4,6,3]=>[2,1,6,7,5,4,3]
[2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]
[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]
[2,1,6,3,4,7,5]=>[2,1,6,3,7,4,5]
[2,1,6,3,5,4,7]=>[2,1,6,5,3,4,7]
[2,1,6,3,5,7,4]=>[2,1,6,7,3,5,4]
[2,1,6,3,7,4,5]=>[2,1,6,7,4,3,5]
[2,1,6,3,7,5,4]=>[2,1,6,5,7,3,4]
[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]
[2,1,6,4,3,7,5]=>[2,1,4,6,7,3,5]
[2,1,6,4,5,3,7]=>[2,1,5,6,4,3,7]
[2,1,6,4,5,7,3]=>[2,1,7,6,4,5,3]
[2,1,6,4,7,3,5]=>[2,1,7,6,3,4,5]
[2,1,6,4,7,5,3]=>[2,1,5,7,6,3,4]
[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]
[2,1,6,5,3,7,4]=>[2,1,5,6,7,4,3]
[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]
[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]
[2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]
[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]
[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]
[2,1,6,7,3,5,4]=>[2,1,7,5,3,6,4]
[2,1,6,7,4,3,5]=>[2,1,4,7,3,6,5]
[2,1,6,7,4,5,3]=>[2,1,5,7,4,6,3]
[2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]
[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]
[2,1,7,3,4,6,5]=>[2,1,7,3,6,4,5]
[2,1,7,3,5,4,6]=>[2,1,7,5,3,4,6]
[2,1,7,3,5,6,4]=>[2,1,7,6,3,5,4]
[2,1,7,3,6,4,5]=>[2,1,7,6,4,3,5]
[2,1,7,3,6,5,4]=>[2,1,7,5,6,3,4]
[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]
[2,1,7,4,3,6,5]=>[2,1,4,7,6,3,5]
[2,1,7,4,5,3,6]=>[2,1,5,7,4,3,6]
[2,1,7,4,5,6,3]=>[2,1,6,7,4,5,3]
[2,1,7,4,6,3,5]=>[2,1,6,7,3,4,5]
[2,1,7,4,6,5,3]=>[2,1,5,6,7,3,4]
[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]
[2,1,7,5,3,6,4]=>[2,1,5,7,6,4,3]
[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]
[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]
[2,1,7,5,6,3,4]=>[2,1,6,3,7,5,4]
[2,1,7,5,6,4,3]=>[2,1,4,6,7,5,3]
[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]
[2,1,7,6,3,5,4]=>[2,1,6,5,3,7,4]
[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]
[2,1,7,6,4,5,3]=>[2,1,5,6,4,7,3]
[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]
[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]
[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]
[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]
[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]
[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]
[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]
[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]
[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]
[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]
[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]
[2,3,1,7,4,6,5]=>[3,2,1,7,6,4,5]
[2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]
[2,3,1,7,5,6,4]=>[3,2,1,6,7,5,4]
[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]
[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]
[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]
[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]
[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]
[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]
[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]
[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]
[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]
[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]
[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]
[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]
[2,3,4,7,1,6,5]=>[7,2,3,4,6,1,5]
[2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]
[2,3,4,7,5,6,1]=>[6,2,3,4,7,5,1]
[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]
[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]
[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]
[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]
[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]
[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]
[2,3,5,1,7,4,6]=>[5,2,3,7,1,4,6]
[2,3,5,1,7,6,4]=>[5,2,3,6,1,7,4]
[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]
[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]
[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]
[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]
[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]
[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]
[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]
[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]
[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]
[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]
[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]
[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]
[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]
[2,3,5,7,1,6,4]=>[7,2,3,6,5,1,4]
[2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]
[2,3,5,7,4,6,1]=>[6,2,3,7,5,4,1]
[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]
[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]
[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]
[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]
[2,3,6,1,5,4,7]=>[6,2,3,5,1,4,7]
[2,3,6,1,5,7,4]=>[6,2,3,7,1,5,4]
[2,3,6,1,7,4,5]=>[6,2,3,7,4,1,5]
[2,3,6,1,7,5,4]=>[6,2,3,5,7,1,4]
[2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]
[2,3,6,4,1,7,5]=>[4,2,3,6,7,1,5]
[2,3,6,4,5,1,7]=>[5,2,3,6,4,1,7]
[2,3,6,4,5,7,1]=>[7,2,3,6,4,5,1]
[2,3,6,4,7,1,5]=>[7,2,3,6,1,4,5]
[2,3,6,4,7,5,1]=>[5,2,3,7,6,1,4]
[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]
[2,3,6,5,1,7,4]=>[5,2,3,6,7,4,1]
[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]
[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]
[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]
[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]
[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]
[2,3,6,7,1,5,4]=>[7,2,3,5,1,6,4]
[2,3,6,7,4,1,5]=>[4,2,3,7,1,6,5]
[2,3,6,7,4,5,1]=>[5,2,3,7,4,6,1]
[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]
[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]
[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]
[2,3,7,1,4,6,5]=>[7,2,3,1,6,4,5]
[2,3,7,1,5,4,6]=>[7,2,3,5,1,4,6]
[2,3,7,1,5,6,4]=>[7,2,3,6,1,5,4]
[2,3,7,1,6,4,5]=>[7,2,3,6,4,1,5]
[2,3,7,1,6,5,4]=>[7,2,3,5,6,1,4]
[2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]
[2,3,7,4,1,6,5]=>[4,2,3,7,6,1,5]
[2,3,7,4,5,1,6]=>[5,2,3,7,4,1,6]
[2,3,7,4,5,6,1]=>[6,2,3,7,4,5,1]
[2,3,7,4,6,1,5]=>[6,2,3,7,1,4,5]
[2,3,7,4,6,5,1]=>[5,2,3,6,7,1,4]
[2,3,7,5,1,4,6]=>[5,2,3,1,7,4,6]
[2,3,7,5,1,6,4]=>[5,2,3,7,6,4,1]
[2,3,7,5,4,1,6]=>[4,2,3,5,7,1,6]
[2,3,7,5,4,6,1]=>[6,2,3,5,7,4,1]
[2,3,7,5,6,1,4]=>[6,2,3,1,7,5,4]
[2,3,7,5,6,4,1]=>[4,2,3,6,7,5,1]
[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5]
[2,3,7,6,1,5,4]=>[6,2,3,5,1,7,4]
[2,3,7,6,4,1,5]=>[4,2,3,6,1,7,5]
[2,3,7,6,4,5,1]=>[5,2,3,6,4,7,1]
[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]
[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]
[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]
[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]
[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]
[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]
[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]
[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]
[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]
[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]
[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]
[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]
[2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6]
[2,4,1,5,7,6,3]=>[4,2,6,1,5,7,3]
[2,4,1,6,3,5,7]=>[4,2,6,1,3,5,7]
[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]
[2,4,1,6,5,3,7]=>[4,2,5,1,6,3,7]
[2,4,1,6,5,7,3]=>[4,2,7,1,6,5,3]
[2,4,1,6,7,3,5]=>[4,2,7,1,3,6,5]
[2,4,1,6,7,5,3]=>[4,2,5,1,7,6,3]
[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]
[2,4,1,7,3,6,5]=>[4,2,7,1,6,3,5]
[2,4,1,7,5,3,6]=>[4,2,5,1,7,3,6]
[2,4,1,7,5,6,3]=>[4,2,6,1,7,5,3]
[2,4,1,7,6,3,5]=>[4,2,6,1,3,7,5]
[2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3]
[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]
[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]
[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]
[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]
[2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]
[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]
[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]
[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]
[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]
[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]
[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]
[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]
[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7]
[2,4,3,6,1,7,5]=>[6,2,4,3,7,1,5]
[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]
[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]
[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5]
[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]
[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]
[2,4,3,7,1,6,5]=>[7,2,4,3,6,1,5]
[2,4,3,7,5,1,6]=>[5,2,4,3,7,1,6]
[2,4,3,7,5,6,1]=>[6,2,4,3,7,5,1]
[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5]
[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]
[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]
[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]
[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]
[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]
[2,4,5,1,7,3,6]=>[5,2,7,4,1,3,6]
[2,4,5,1,7,6,3]=>[5,2,6,4,1,7,3]
[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]
[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]
[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]
[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]
[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6]
[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]
[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]
[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]
[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]
[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]
[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]
[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]
[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]
[2,4,5,7,1,6,3]=>[7,2,6,4,5,1,3]
[2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]
[2,4,5,7,3,6,1]=>[6,2,7,4,5,3,1]
[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]
[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]
[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]
[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]
[2,4,6,1,5,3,7]=>[6,2,5,4,1,3,7]
[2,4,6,1,5,7,3]=>[6,2,7,4,1,5,3]
[2,4,6,1,7,3,5]=>[6,2,7,4,3,1,5]
[2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3]
[2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]
[2,4,6,3,1,7,5]=>[3,2,6,4,7,1,5]
[2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]
[2,4,6,3,5,7,1]=>[7,2,6,4,3,5,1]
[2,4,6,3,7,1,5]=>[7,2,6,4,1,3,5]
[2,4,6,3,7,5,1]=>[5,2,7,4,6,1,3]
[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]
[2,4,6,5,1,7,3]=>[5,2,6,4,7,3,1]
[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]
[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]
[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]
[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]
[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]
[2,4,6,7,1,5,3]=>[7,2,5,4,1,6,3]
[2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]
[2,4,6,7,3,5,1]=>[5,2,7,4,3,6,1]
[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]
[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]
[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]
[2,4,7,1,3,6,5]=>[7,2,1,4,6,3,5]
[2,4,7,1,5,3,6]=>[7,2,5,4,1,3,6]
[2,4,7,1,5,6,3]=>[7,2,6,4,1,5,3]
[2,4,7,1,6,3,5]=>[7,2,6,4,3,1,5]
[2,4,7,1,6,5,3]=>[7,2,5,4,6,1,3]
[2,4,7,3,1,5,6]=>[3,2,7,4,1,5,6]
[2,4,7,3,1,6,5]=>[3,2,7,4,6,1,5]
[2,4,7,3,5,1,6]=>[5,2,7,4,3,1,6]
[2,4,7,3,5,6,1]=>[6,2,7,4,3,5,1]
[2,4,7,3,6,1,5]=>[6,2,7,4,1,3,5]
[2,4,7,3,6,5,1]=>[5,2,6,4,7,1,3]
[2,4,7,5,1,3,6]=>[5,2,1,4,7,3,6]
[2,4,7,5,1,6,3]=>[5,2,7,4,6,3,1]
[2,4,7,5,3,1,6]=>[3,2,5,4,7,1,6]
[2,4,7,5,3,6,1]=>[6,2,5,4,7,3,1]
[2,4,7,5,6,1,3]=>[6,2,1,4,7,5,3]
[2,4,7,5,6,3,1]=>[3,2,6,4,7,5,1]
[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]
[2,4,7,6,1,5,3]=>[6,2,5,4,1,7,3]
[2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]
[2,4,7,6,3,5,1]=>[5,2,6,4,3,7,1]
[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]
[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]
[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]
[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]
[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]
[2,5,1,3,6,7,4]=>[5,2,1,7,3,6,4]
[2,5,1,3,7,4,6]=>[5,2,1,7,3,4,6]
[2,5,1,3,7,6,4]=>[5,2,1,6,3,7,4]
[2,5,1,4,3,6,7]=>[5,2,4,1,3,6,7]
[2,5,1,4,3,7,6]=>[5,2,4,1,3,7,6]
[2,5,1,4,6,3,7]=>[5,2,6,1,4,3,7]
[2,5,1,4,6,7,3]=>[5,2,7,1,4,6,3]
[2,5,1,4,7,3,6]=>[5,2,7,1,4,3,6]
[2,5,1,4,7,6,3]=>[5,2,6,1,4,7,3]
[2,5,1,6,3,4,7]=>[5,2,6,3,1,4,7]
[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]
[2,5,1,6,4,3,7]=>[5,2,4,6,1,3,7]
[2,5,1,6,4,7,3]=>[5,2,7,6,1,4,3]
[2,5,1,6,7,3,4]=>[5,2,7,3,1,6,4]
[2,5,1,6,7,4,3]=>[5,2,4,7,1,6,3]
[2,5,1,7,3,4,6]=>[5,2,7,3,1,4,6]
[2,5,1,7,3,6,4]=>[5,2,7,6,1,3,4]
[2,5,1,7,4,3,6]=>[5,2,4,7,1,3,6]
[2,5,1,7,4,6,3]=>[5,2,6,7,1,4,3]
[2,5,1,7,6,3,4]=>[5,2,6,3,1,7,4]
[2,5,1,7,6,4,3]=>[5,2,4,6,1,7,3]
[2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]
[2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]
[2,5,3,1,6,4,7]=>[3,2,5,6,1,4,7]
[2,5,3,1,6,7,4]=>[3,2,5,7,1,6,4]
[2,5,3,1,7,4,6]=>[3,2,5,7,1,4,6]
[2,5,3,1,7,6,4]=>[3,2,5,6,1,7,4]
[2,5,3,4,1,6,7]=>[4,2,5,3,1,6,7]
[2,5,3,4,1,7,6]=>[4,2,5,3,1,7,6]
[2,5,3,4,6,1,7]=>[6,2,5,3,4,1,7]
[2,5,3,4,6,7,1]=>[7,2,5,3,4,6,1]
[2,5,3,4,7,1,6]=>[7,2,5,3,4,1,6]
[2,5,3,4,7,6,1]=>[6,2,5,3,4,7,1]
[2,5,3,6,1,4,7]=>[6,2,5,1,3,4,7]
[2,5,3,6,1,7,4]=>[6,2,5,7,3,1,4]
[2,5,3,6,4,1,7]=>[4,2,6,5,1,3,7]
[2,5,3,6,4,7,1]=>[7,2,5,6,3,4,1]
[2,5,3,6,7,1,4]=>[7,2,5,1,3,6,4]
[2,5,3,6,7,4,1]=>[4,2,7,5,1,6,3]
[2,5,3,7,1,4,6]=>[7,2,5,1,3,4,6]
[2,5,3,7,1,6,4]=>[7,2,5,6,3,1,4]
[2,5,3,7,4,1,6]=>[4,2,7,5,1,3,6]
[2,5,3,7,4,6,1]=>[6,2,5,7,3,4,1]
[2,5,3,7,6,1,4]=>[6,2,5,1,3,7,4]
[2,5,3,7,6,4,1]=>[4,2,6,5,1,7,3]
[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]
[2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6]
[2,5,4,1,6,3,7]=>[4,2,5,6,3,1,7]
[2,5,4,1,6,7,3]=>[4,2,5,7,3,6,1]
[2,5,4,1,7,3,6]=>[4,2,5,7,3,1,6]
[2,5,4,1,7,6,3]=>[4,2,5,6,3,7,1]
[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]
[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]
[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]
[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]
[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6]
[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]
[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]
[2,5,4,6,1,7,3]=>[6,2,7,5,4,1,3]
[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]
[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]
[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]
[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]
[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6]
[2,5,4,7,1,6,3]=>[7,2,6,5,4,1,3]
[2,5,4,7,3,1,6]=>[3,2,7,5,4,1,6]
[2,5,4,7,3,6,1]=>[6,2,7,5,4,3,1]
[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3]
[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]
[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]
[2,5,6,1,3,7,4]=>[6,2,1,7,5,3,4]
[2,5,6,1,4,3,7]=>[6,2,4,1,5,3,7]
[2,5,6,1,4,7,3]=>[6,2,7,1,5,4,3]
[2,5,6,1,7,3,4]=>[6,2,7,3,5,1,4]
[2,5,6,1,7,4,3]=>[6,2,4,7,5,1,3]
[2,5,6,3,1,4,7]=>[3,2,6,1,5,4,7]
[2,5,6,3,1,7,4]=>[3,2,6,7,5,1,4]
[2,5,6,3,4,1,7]=>[4,2,6,3,5,1,7]
[2,5,6,3,4,7,1]=>[7,2,6,3,5,4,1]
[2,5,6,3,7,1,4]=>[7,2,6,1,5,3,4]
[2,5,6,3,7,4,1]=>[4,2,7,6,5,1,3]
[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]
[2,5,6,4,1,7,3]=>[4,2,6,7,5,3,1]
[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]
[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]
[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]
[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]
[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]
[2,5,6,7,1,4,3]=>[7,2,4,1,5,6,3]
[2,5,6,7,3,1,4]=>[3,2,7,1,5,6,4]
[2,5,6,7,3,4,1]=>[4,2,7,3,5,6,1]
[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]
[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]
[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]
[2,5,7,1,3,6,4]=>[7,2,1,6,5,3,4]
[2,5,7,1,4,3,6]=>[7,2,4,1,5,3,6]
[2,5,7,1,4,6,3]=>[7,2,6,1,5,4,3]
[2,5,7,1,6,3,4]=>[7,2,6,3,5,1,4]
[2,5,7,1,6,4,3]=>[7,2,4,6,5,1,3]
[2,5,7,3,1,4,6]=>[3,2,7,1,5,4,6]
[2,5,7,3,1,6,4]=>[3,2,7,6,5,1,4]
[2,5,7,3,4,1,6]=>[4,2,7,3,5,1,6]
[2,5,7,3,4,6,1]=>[6,2,7,3,5,4,1]
[2,5,7,3,6,1,4]=>[6,2,7,1,5,3,4]
[2,5,7,3,6,4,1]=>[4,2,6,7,5,1,3]
[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]
[2,5,7,4,1,6,3]=>[4,2,7,6,5,3,1]
[2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]
[2,5,7,4,3,6,1]=>[6,2,4,7,5,3,1]
[2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]
[2,5,7,4,6,3,1]=>[3,2,6,7,5,4,1]
[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4]
[2,5,7,6,1,4,3]=>[6,2,4,1,5,7,3]
[2,5,7,6,3,1,4]=>[3,2,6,1,5,7,4]
[2,5,7,6,3,4,1]=>[4,2,6,3,5,7,1]
[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]
[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]
[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]
[2,6,1,3,5,4,7]=>[6,2,1,5,3,4,7]
[2,6,1,3,5,7,4]=>[6,2,1,7,3,5,4]
[2,6,1,3,7,4,5]=>[6,2,1,7,4,3,5]
[2,6,1,3,7,5,4]=>[6,2,1,5,7,3,4]
[2,6,1,4,3,5,7]=>[6,2,4,1,3,5,7]
[2,6,1,4,3,7,5]=>[6,2,4,1,7,3,5]
[2,6,1,4,5,3,7]=>[6,2,5,1,4,3,7]
[2,6,1,4,5,7,3]=>[6,2,7,1,4,5,3]
[2,6,1,4,7,3,5]=>[6,2,7,1,3,4,5]
[2,6,1,4,7,5,3]=>[6,2,5,1,7,4,3]
[2,6,1,5,3,4,7]=>[6,2,5,3,1,4,7]
[2,6,1,5,3,7,4]=>[6,2,5,7,1,3,4]
[2,6,1,5,4,3,7]=>[6,2,4,5,1,3,7]
[2,6,1,5,4,7,3]=>[6,2,7,5,1,4,3]
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]
[2,6,1,5,7,4,3]=>[6,2,4,7,1,5,3]
[2,6,1,7,3,4,5]=>[6,2,7,3,4,1,5]
[2,6,1,7,3,5,4]=>[6,2,7,5,3,1,4]
[2,6,1,7,4,3,5]=>[6,2,4,7,3,1,5]
[2,6,1,7,4,5,3]=>[6,2,5,7,4,1,3]
[2,6,1,7,5,3,4]=>[6,2,5,3,7,1,4]
[2,6,1,7,5,4,3]=>[6,2,4,5,7,1,3]
[2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]
[2,6,3,1,4,7,5]=>[3,2,6,1,7,4,5]
[2,6,3,1,5,4,7]=>[3,2,6,5,1,4,7]
[2,6,3,1,5,7,4]=>[3,2,6,7,1,5,4]
[2,6,3,1,7,4,5]=>[3,2,6,7,4,1,5]
[2,6,3,1,7,5,4]=>[3,2,6,5,7,1,4]
[2,6,3,4,1,5,7]=>[4,2,6,3,1,5,7]
[2,6,3,4,1,7,5]=>[4,2,6,3,7,1,5]
[2,6,3,4,5,1,7]=>[5,2,6,3,4,1,7]
[2,6,3,4,5,7,1]=>[7,2,6,3,4,5,1]
[2,6,3,4,7,1,5]=>[7,2,6,3,1,4,5]
[2,6,3,4,7,5,1]=>[5,2,7,1,6,4,3]
[2,6,3,5,1,4,7]=>[5,2,6,1,3,4,7]
[2,6,3,5,1,7,4]=>[5,2,6,7,3,1,4]
[2,6,3,5,4,1,7]=>[4,2,5,6,1,3,7]
[2,6,3,5,4,7,1]=>[7,2,6,5,3,4,1]
[2,6,3,5,7,1,4]=>[7,2,6,1,3,5,4]
[2,6,3,5,7,4,1]=>[4,2,7,6,1,5,3]
[2,6,3,7,1,4,5]=>[7,2,6,1,4,3,5]
[2,6,3,7,1,5,4]=>[7,2,6,5,1,3,4]
[2,6,3,7,4,1,5]=>[4,2,7,6,3,1,5]
[2,6,3,7,4,5,1]=>[5,2,6,7,4,3,1]
[2,6,3,7,5,1,4]=>[5,2,7,3,6,1,4]
[2,6,3,7,5,4,1]=>[4,2,5,7,6,3,1]
[2,6,4,1,3,5,7]=>[4,2,1,6,3,5,7]
[2,6,4,1,3,7,5]=>[4,2,1,6,7,3,5]
[2,6,4,1,5,3,7]=>[4,2,6,5,3,1,7]
[2,6,4,1,5,7,3]=>[4,2,6,7,3,5,1]
[2,6,4,1,7,3,5]=>[4,2,6,7,1,3,5]
[2,6,4,1,7,5,3]=>[4,2,6,5,7,3,1]
[2,6,4,3,1,5,7]=>[3,2,4,6,1,5,7]
[2,6,4,3,1,7,5]=>[3,2,4,6,7,1,5]
[2,6,4,3,5,1,7]=>[5,2,4,6,3,1,7]
[2,6,4,3,5,7,1]=>[7,2,4,6,3,5,1]
[2,6,4,3,7,1,5]=>[7,2,4,6,1,3,5]
[2,6,4,3,7,5,1]=>[5,2,4,7,6,1,3]
[2,6,4,5,1,3,7]=>[5,2,1,6,4,3,7]
[2,6,4,5,1,7,3]=>[5,2,7,6,4,1,3]
[2,6,4,5,3,1,7]=>[3,2,5,6,4,1,7]
[2,6,4,5,3,7,1]=>[7,2,5,6,4,3,1]
[2,6,4,5,7,1,3]=>[7,2,1,6,4,5,3]
[2,6,4,5,7,3,1]=>[3,2,7,6,4,5,1]
[2,6,4,7,1,3,5]=>[7,2,1,6,3,4,5]
[2,6,4,7,1,5,3]=>[7,2,5,6,1,4,3]
[2,6,4,7,3,1,5]=>[3,2,7,6,1,4,5]
[2,6,4,7,3,5,1]=>[5,2,7,6,3,4,1]
[2,6,4,7,5,1,3]=>[5,2,1,7,6,3,4]
[2,6,4,7,5,3,1]=>[3,2,5,7,6,1,4]
[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7]
[2,6,5,1,3,7,4]=>[5,2,1,6,7,4,3]
[2,6,5,1,4,3,7]=>[5,2,4,1,6,3,7]
[2,6,5,1,4,7,3]=>[5,2,6,3,7,4,1]
[2,6,5,1,7,3,4]=>[5,2,6,1,7,3,4]
[2,6,5,1,7,4,3]=>[5,2,4,6,7,3,1]
[2,6,5,3,1,4,7]=>[3,2,5,1,6,4,7]
[2,6,5,3,1,7,4]=>[3,2,5,6,7,4,1]
[2,6,5,3,4,1,7]=>[4,2,5,3,6,1,7]
[2,6,5,3,4,7,1]=>[7,2,5,3,6,4,1]
[2,6,5,3,7,1,4]=>[7,2,5,1,6,3,4]
[2,6,5,3,7,4,1]=>[4,2,7,5,6,1,3]
[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]
[2,6,5,4,1,7,3]=>[4,2,5,6,7,1,3]
[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]
[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]
[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]
[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]
[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4]
[2,6,5,7,1,4,3]=>[7,2,4,1,6,5,3]
[2,6,5,7,3,1,4]=>[3,2,7,1,6,5,4]
[2,6,5,7,3,4,1]=>[4,2,7,3,6,5,1]
[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]
[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]
[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]
[2,6,7,1,3,5,4]=>[7,2,1,5,3,6,4]
[2,6,7,1,4,3,5]=>[7,2,4,1,3,6,5]
[2,6,7,1,4,5,3]=>[7,2,5,1,4,6,3]
[2,6,7,1,5,3,4]=>[7,2,5,3,1,6,4]
[2,6,7,1,5,4,3]=>[7,2,4,5,1,6,3]
[2,6,7,3,1,4,5]=>[3,2,7,1,4,6,5]
[2,6,7,3,1,5,4]=>[3,2,7,5,1,6,4]
[2,6,7,3,4,1,5]=>[4,2,7,3,1,6,5]
[2,6,7,3,4,5,1]=>[5,2,7,3,4,6,1]
[2,6,7,3,5,1,4]=>[5,2,7,1,3,6,4]
[2,6,7,3,5,4,1]=>[4,2,5,7,1,6,3]
[2,6,7,4,1,3,5]=>[4,2,1,7,3,6,5]
[2,6,7,4,1,5,3]=>[4,2,7,5,3,6,1]
[2,6,7,4,3,1,5]=>[3,2,4,7,1,6,5]
[2,6,7,4,3,5,1]=>[5,2,4,7,3,6,1]
[2,6,7,4,5,1,3]=>[5,2,1,7,4,6,3]
[2,6,7,4,5,3,1]=>[3,2,5,7,4,6,1]
[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4]
[2,6,7,5,1,4,3]=>[5,2,4,1,7,6,3]
[2,6,7,5,3,1,4]=>[3,2,5,1,7,6,4]
[2,6,7,5,3,4,1]=>[4,2,5,3,7,6,1]
[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]
[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]
[2,7,1,3,4,6,5]=>[7,2,1,3,6,4,5]
[2,7,1,3,5,4,6]=>[7,2,1,5,3,4,6]
[2,7,1,3,5,6,4]=>[7,2,1,6,3,5,4]
[2,7,1,3,6,4,5]=>[7,2,1,6,4,3,5]
[2,7,1,3,6,5,4]=>[7,2,1,5,6,3,4]
[2,7,1,4,3,5,6]=>[7,2,4,1,3,5,6]
[2,7,1,4,3,6,5]=>[7,2,4,1,6,3,5]
[2,7,1,4,5,3,6]=>[7,2,5,1,4,3,6]
[2,7,1,4,5,6,3]=>[7,2,6,1,4,5,3]
[2,7,1,4,6,3,5]=>[7,2,6,1,3,4,5]
[2,7,1,4,6,5,3]=>[7,2,5,1,6,4,3]
[2,7,1,5,3,4,6]=>[7,2,5,3,1,4,6]
[2,7,1,5,3,6,4]=>[7,2,5,6,1,3,4]
[2,7,1,5,4,3,6]=>[7,2,4,5,1,3,6]
[2,7,1,5,4,6,3]=>[7,2,6,5,1,4,3]
[2,7,1,5,6,3,4]=>[7,2,6,3,1,5,4]
[2,7,1,5,6,4,3]=>[7,2,4,6,1,5,3]
[2,7,1,6,3,4,5]=>[7,2,6,3,4,1,5]
[2,7,1,6,3,5,4]=>[7,2,6,5,3,1,4]
[2,7,1,6,4,3,5]=>[7,2,4,6,3,1,5]
[2,7,1,6,4,5,3]=>[7,2,5,6,4,1,3]
[2,7,1,6,5,3,4]=>[7,2,5,3,6,1,4]
[2,7,1,6,5,4,3]=>[7,2,4,5,6,1,3]
[2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]
[2,7,3,1,4,6,5]=>[3,2,7,1,6,4,5]
[2,7,3,1,5,4,6]=>[3,2,7,5,1,4,6]
[2,7,3,1,5,6,4]=>[3,2,7,6,1,5,4]
[2,7,3,1,6,4,5]=>[3,2,7,6,4,1,5]
[2,7,3,1,6,5,4]=>[3,2,7,5,6,1,4]
[2,7,3,4,1,5,6]=>[4,2,7,3,1,5,6]
[2,7,3,4,1,6,5]=>[4,2,7,3,6,1,5]
[2,7,3,4,5,1,6]=>[5,2,7,3,4,1,6]
[2,7,3,4,5,6,1]=>[6,2,7,3,4,5,1]
[2,7,3,4,6,1,5]=>[6,2,7,3,1,4,5]
[2,7,3,4,6,5,1]=>[5,2,6,1,7,4,3]
[2,7,3,5,1,4,6]=>[5,2,7,1,3,4,6]
[2,7,3,5,1,6,4]=>[5,2,7,6,3,1,4]
[2,7,3,5,4,1,6]=>[4,2,5,7,1,3,6]
[2,7,3,5,4,6,1]=>[6,2,7,5,3,4,1]
[2,7,3,5,6,1,4]=>[6,2,7,1,3,5,4]
[2,7,3,5,6,4,1]=>[4,2,6,7,1,5,3]
[2,7,3,6,1,4,5]=>[6,2,7,1,4,3,5]
[2,7,3,6,1,5,4]=>[6,2,7,5,1,3,4]
[2,7,3,6,4,1,5]=>[4,2,6,7,3,1,5]
[2,7,3,6,4,5,1]=>[5,2,7,6,4,3,1]
[2,7,3,6,5,1,4]=>[5,2,6,3,7,1,4]
[2,7,3,6,5,4,1]=>[4,2,5,6,7,3,1]
[2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]
[2,7,4,1,3,6,5]=>[4,2,1,7,6,3,5]
[2,7,4,1,5,3,6]=>[4,2,7,5,3,1,6]
[2,7,4,1,5,6,3]=>[4,2,7,6,3,5,1]
[2,7,4,1,6,3,5]=>[4,2,7,6,1,3,5]
[2,7,4,1,6,5,3]=>[4,2,7,5,6,3,1]
[2,7,4,3,1,5,6]=>[3,2,4,7,1,5,6]
[2,7,4,3,1,6,5]=>[3,2,4,7,6,1,5]
[2,7,4,3,5,1,6]=>[5,2,4,7,3,1,6]
[2,7,4,3,5,6,1]=>[6,2,4,7,3,5,1]
[2,7,4,3,6,1,5]=>[6,2,4,7,1,3,5]
[2,7,4,3,6,5,1]=>[5,2,4,6,7,1,3]
[2,7,4,5,1,3,6]=>[5,2,1,7,4,3,6]
[2,7,4,5,1,6,3]=>[5,2,6,7,4,1,3]
[2,7,4,5,3,1,6]=>[3,2,5,7,4,1,6]
[2,7,4,5,3,6,1]=>[6,2,5,7,4,3,1]
[2,7,4,5,6,1,3]=>[6,2,1,7,4,5,3]
[2,7,4,5,6,3,1]=>[3,2,6,7,4,5,1]
[2,7,4,6,1,3,5]=>[6,2,1,7,3,4,5]
[2,7,4,6,1,5,3]=>[6,2,5,7,1,4,3]
[2,7,4,6,3,1,5]=>[3,2,6,7,1,4,5]
[2,7,4,6,3,5,1]=>[5,2,6,7,3,4,1]
[2,7,4,6,5,1,3]=>[5,2,1,6,7,3,4]
[2,7,4,6,5,3,1]=>[3,2,5,6,7,1,4]
[2,7,5,1,3,4,6]=>[5,2,1,3,7,4,6]
[2,7,5,1,3,6,4]=>[5,2,1,7,6,4,3]
[2,7,5,1,4,3,6]=>[5,2,4,1,7,3,6]
[2,7,5,1,4,6,3]=>[5,2,7,3,6,4,1]
[2,7,5,1,6,3,4]=>[5,2,7,1,6,3,4]
[2,7,5,1,6,4,3]=>[5,2,4,7,6,3,1]
[2,7,5,3,1,4,6]=>[3,2,5,1,7,4,6]
[2,7,5,3,1,6,4]=>[3,2,5,7,6,4,1]
[2,7,5,3,4,1,6]=>[4,2,5,3,7,1,6]
[2,7,5,3,4,6,1]=>[6,2,5,3,7,4,1]
[2,7,5,3,6,1,4]=>[6,2,5,1,7,3,4]
[2,7,5,3,6,4,1]=>[4,2,6,5,7,1,3]
[2,7,5,4,1,3,6]=>[4,2,1,5,7,3,6]
[2,7,5,4,1,6,3]=>[4,2,5,7,6,1,3]
[2,7,5,4,3,1,6]=>[3,2,4,5,7,1,6]
[2,7,5,4,3,6,1]=>[6,2,4,5,7,3,1]
[2,7,5,4,6,1,3]=>[6,2,1,5,7,4,3]
[2,7,5,4,6,3,1]=>[3,2,6,5,7,4,1]
[2,7,5,6,1,3,4]=>[6,2,1,3,7,5,4]
[2,7,5,6,1,4,3]=>[6,2,4,1,7,5,3]
[2,7,5,6,3,1,4]=>[3,2,6,1,7,5,4]
[2,7,5,6,3,4,1]=>[4,2,6,3,7,5,1]
[2,7,5,6,4,1,3]=>[4,2,1,6,7,5,3]
[2,7,5,6,4,3,1]=>[3,2,4,6,7,5,1]
[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5]
[2,7,6,1,3,5,4]=>[6,2,1,5,3,7,4]
[2,7,6,1,4,3,5]=>[6,2,4,1,3,7,5]
[2,7,6,1,4,5,3]=>[6,2,5,1,4,7,3]
[2,7,6,1,5,3,4]=>[6,2,5,3,1,7,4]
[2,7,6,1,5,4,3]=>[6,2,4,5,1,7,3]
[2,7,6,3,1,4,5]=>[3,2,6,1,4,7,5]
[2,7,6,3,1,5,4]=>[3,2,6,5,1,7,4]
[2,7,6,3,4,1,5]=>[4,2,6,3,1,7,5]
[2,7,6,3,4,5,1]=>[5,2,6,3,4,7,1]
[2,7,6,3,5,1,4]=>[5,2,6,1,3,7,4]
[2,7,6,3,5,4,1]=>[4,2,5,6,1,7,3]
[2,7,6,4,1,3,5]=>[4,2,1,6,3,7,5]
[2,7,6,4,1,5,3]=>[4,2,6,5,3,7,1]
[2,7,6,4,3,1,5]=>[3,2,4,6,1,7,5]
[2,7,6,4,3,5,1]=>[5,2,4,6,3,7,1]
[2,7,6,4,5,1,3]=>[5,2,1,6,4,7,3]
[2,7,6,4,5,3,1]=>[3,2,5,6,4,7,1]
[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4]
[2,7,6,5,1,4,3]=>[5,2,4,1,6,7,3]
[2,7,6,5,3,1,4]=>[3,2,5,1,6,7,4]
[2,7,6,5,3,4,1]=>[4,2,5,3,6,7,1]
[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]
[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]
[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]
[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]
[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]
[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]
[3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]
[3,1,2,6,4,7,5]=>[3,1,2,6,7,4,5]
[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]
[3,1,2,6,5,7,4]=>[3,1,2,7,6,5,4]
[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]
[3,1,2,6,7,5,4]=>[3,1,2,5,7,6,4]
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]
[3,1,2,7,4,6,5]=>[3,1,2,7,6,4,5]
[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]
[3,1,2,7,5,6,4]=>[3,1,2,6,7,5,4]
[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]
[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]
[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]
[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]
[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]
[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]
[3,1,4,2,7,5,6]=>[3,4,1,2,7,5,6]
[3,1,4,2,7,6,5]=>[3,4,1,2,6,7,5]
[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]
[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]
[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]
[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]
[3,1,4,5,7,2,6]=>[3,7,1,4,5,2,6]
[3,1,4,5,7,6,2]=>[3,6,1,4,5,7,2]
[3,1,4,6,2,5,7]=>[3,6,1,4,2,5,7]
[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]
[3,1,4,6,5,2,7]=>[3,5,1,4,6,2,7]
[3,1,4,6,5,7,2]=>[3,7,1,4,6,5,2]
[3,1,4,6,7,2,5]=>[3,7,1,4,2,6,5]
[3,1,4,6,7,5,2]=>[3,5,1,4,7,6,2]
[3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]
[3,1,4,7,2,6,5]=>[3,7,1,4,6,2,5]
[3,1,4,7,5,2,6]=>[3,5,1,4,7,2,6]
[3,1,4,7,5,6,2]=>[3,6,1,4,7,5,2]
[3,1,4,7,6,2,5]=>[3,6,1,4,2,7,5]
[3,1,4,7,6,5,2]=>[3,5,1,4,6,7,2]
[3,1,5,2,4,6,7]=>[3,5,1,2,4,6,7]
[3,1,5,2,4,7,6]=>[3,5,1,2,4,7,6]
[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]
[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]
[3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]
[3,1,5,2,7,6,4]=>[3,5,1,6,2,7,4]
[3,1,5,4,2,6,7]=>[3,4,1,5,2,6,7]
[3,1,5,4,2,7,6]=>[3,4,1,5,2,7,6]
[3,1,5,4,6,2,7]=>[3,6,1,5,4,2,7]
[3,1,5,4,6,7,2]=>[3,7,1,5,4,6,2]
[3,1,5,4,7,2,6]=>[3,7,1,5,4,2,6]
[3,1,5,4,7,6,2]=>[3,6,1,5,4,7,2]
[3,1,5,6,2,4,7]=>[3,6,1,2,5,4,7]
[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]
[3,1,5,6,4,2,7]=>[3,4,1,6,5,2,7]
[3,1,5,6,4,7,2]=>[3,7,1,6,5,4,2]
[3,1,5,6,7,2,4]=>[3,7,1,2,5,6,4]
[3,1,5,6,7,4,2]=>[3,4,1,7,5,6,2]
[3,1,5,7,2,4,6]=>[3,7,1,2,5,4,6]
[3,1,5,7,2,6,4]=>[3,7,1,6,5,2,4]
[3,1,5,7,4,2,6]=>[3,4,1,7,5,2,6]
[3,1,5,7,4,6,2]=>[3,6,1,7,5,4,2]
[3,1,5,7,6,2,4]=>[3,6,1,2,5,7,4]
[3,1,5,7,6,4,2]=>[3,4,1,6,5,7,2]
[3,1,6,2,4,5,7]=>[3,6,1,2,4,5,7]
[3,1,6,2,4,7,5]=>[3,6,1,2,7,4,5]
[3,1,6,2,5,4,7]=>[3,6,1,5,2,4,7]
[3,1,6,2,5,7,4]=>[3,6,1,7,2,5,4]
[3,1,6,2,7,4,5]=>[3,6,1,7,4,2,5]
[3,1,6,2,7,5,4]=>[3,6,1,5,7,2,4]
[3,1,6,4,2,5,7]=>[3,4,1,6,2,5,7]
[3,1,6,4,2,7,5]=>[3,4,1,6,7,2,5]
[3,1,6,4,5,2,7]=>[3,5,1,6,4,2,7]
[3,1,6,4,5,7,2]=>[3,7,1,6,4,5,2]
[3,1,6,4,7,2,5]=>[3,7,1,6,2,4,5]
[3,1,6,4,7,5,2]=>[3,5,1,7,6,2,4]
[3,1,6,5,2,4,7]=>[3,5,1,2,6,4,7]
[3,1,6,5,2,7,4]=>[3,5,1,6,7,4,2]
[3,1,6,5,4,2,7]=>[3,4,1,5,6,2,7]
[3,1,6,5,4,7,2]=>[3,7,1,5,6,4,2]
[3,1,6,5,7,2,4]=>[3,7,1,2,6,5,4]
[3,1,6,5,7,4,2]=>[3,4,1,7,6,5,2]
[3,1,6,7,2,4,5]=>[3,7,1,2,4,6,5]
[3,1,6,7,2,5,4]=>[3,7,1,5,2,6,4]
[3,1,6,7,4,2,5]=>[3,4,1,7,2,6,5]
[3,1,6,7,4,5,2]=>[3,5,1,7,4,6,2]
[3,1,6,7,5,2,4]=>[3,5,1,2,7,6,4]
[3,1,6,7,5,4,2]=>[3,4,1,5,7,6,2]
[3,1,7,2,4,5,6]=>[3,7,1,2,4,5,6]
[3,1,7,2,4,6,5]=>[3,7,1,2,6,4,5]
[3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]
[3,1,7,2,5,6,4]=>[3,7,1,6,2,5,4]
[3,1,7,2,6,4,5]=>[3,7,1,6,4,2,5]
[3,1,7,2,6,5,4]=>[3,7,1,5,6,2,4]
[3,1,7,4,2,5,6]=>[3,4,1,7,2,5,6]
[3,1,7,4,2,6,5]=>[3,4,1,7,6,2,5]
[3,1,7,4,5,2,6]=>[3,5,1,7,4,2,6]
[3,1,7,4,5,6,2]=>[3,6,1,7,4,5,2]
[3,1,7,4,6,2,5]=>[3,6,1,7,2,4,5]
[3,1,7,4,6,5,2]=>[3,5,1,6,7,2,4]
[3,1,7,5,2,4,6]=>[3,5,1,2,7,4,6]
[3,1,7,5,2,6,4]=>[3,5,1,7,6,4,2]
[3,1,7,5,4,2,6]=>[3,4,1,5,7,2,6]
[3,1,7,5,4,6,2]=>[3,6,1,5,7,4,2]
[3,1,7,5,6,2,4]=>[3,6,1,2,7,5,4]
[3,1,7,5,6,4,2]=>[3,4,1,6,7,5,2]
[3,1,7,6,2,4,5]=>[3,6,1,2,4,7,5]
[3,1,7,6,2,5,4]=>[3,6,1,5,2,7,4]
[3,1,7,6,4,2,5]=>[3,4,1,6,2,7,5]
[3,1,7,6,4,5,2]=>[3,5,1,6,4,7,2]
[3,1,7,6,5,2,4]=>[3,5,1,2,6,7,4]
[3,1,7,6,5,4,2]=>[3,4,1,5,6,7,2]
[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]
[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]
[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]
[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]
[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]
[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]
[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]
[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]
[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]
[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]
[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]
[3,2,1,6,4,7,5]=>[2,3,1,6,7,4,5]
[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]
[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]
[3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]
[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]
[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]
[3,2,1,7,4,6,5]=>[2,3,1,7,6,4,5]
[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]
[3,2,1,7,5,6,4]=>[2,3,1,6,7,5,4]
[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]
[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]
[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]
[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]
[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]
[3,2,4,1,7,5,6]=>[4,3,2,1,7,5,6]
[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]
[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]
[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]
[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]
[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]
[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]
[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1]
[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7]
[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]
[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]
[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]
[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]
[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]
[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]
[3,2,4,7,1,6,5]=>[7,3,2,4,6,1,5]
[3,2,4,7,5,1,6]=>[5,3,2,4,7,1,6]
[3,2,4,7,5,6,1]=>[6,3,2,4,7,5,1]
[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5]
[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1]
[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]
[3,2,5,1,4,7,6]=>[5,3,2,1,4,7,6]
[3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]
[3,2,5,1,6,7,4]=>[5,3,2,7,1,6,4]
[3,2,5,1,7,4,6]=>[5,3,2,7,1,4,6]
[3,2,5,1,7,6,4]=>[5,3,2,6,1,7,4]
[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]
[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]
[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]
[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]
[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]
[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]
[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7]
[3,2,5,6,1,7,4]=>[6,3,2,7,5,1,4]
[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]
[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]
[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]
[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]
[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]
[3,2,5,7,1,6,4]=>[7,3,2,6,5,1,4]
[3,2,5,7,4,1,6]=>[4,3,2,7,5,1,6]
[3,2,5,7,4,6,1]=>[6,3,2,7,5,4,1]
[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4]
[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]
[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]
[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]
[3,2,6,1,5,4,7]=>[6,3,2,5,1,4,7]
[3,2,6,1,5,7,4]=>[6,3,2,7,1,5,4]
[3,2,6,1,7,4,5]=>[6,3,2,7,4,1,5]
[3,2,6,1,7,5,4]=>[6,3,2,5,7,1,4]
[3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]
[3,2,6,4,1,7,5]=>[4,3,2,6,7,1,5]
[3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]
[3,2,6,4,5,7,1]=>[7,3,2,6,4,5,1]
[3,2,6,4,7,1,5]=>[7,3,2,6,1,4,5]
[3,2,6,4,7,5,1]=>[5,3,2,7,6,1,4]
[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7]
[3,2,6,5,1,7,4]=>[5,3,2,6,7,4,1]
[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]
[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]
[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4]
[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]
[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]
[3,2,6,7,1,5,4]=>[7,3,2,5,1,6,4]
[3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]
[3,2,6,7,4,5,1]=>[5,3,2,7,4,6,1]
[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4]
[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]
[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]
[3,2,7,1,4,6,5]=>[7,3,2,1,6,4,5]
[3,2,7,1,5,4,6]=>[7,3,2,5,1,4,6]
[3,2,7,1,5,6,4]=>[7,3,2,6,1,5,4]
[3,2,7,1,6,4,5]=>[7,3,2,6,4,1,5]
[3,2,7,1,6,5,4]=>[7,3,2,5,6,1,4]
[3,2,7,4,1,5,6]=>[4,3,2,7,1,5,6]
[3,2,7,4,1,6,5]=>[4,3,2,7,6,1,5]
[3,2,7,4,5,1,6]=>[5,3,2,7,4,1,6]
[3,2,7,4,5,6,1]=>[6,3,2,7,4,5,1]
[3,2,7,4,6,1,5]=>[6,3,2,7,1,4,5]
[3,2,7,4,6,5,1]=>[5,3,2,6,7,1,4]
[3,2,7,5,1,4,6]=>[5,3,2,1,7,4,6]
[3,2,7,5,1,6,4]=>[5,3,2,7,6,4,1]
[3,2,7,5,4,1,6]=>[4,3,2,5,7,1,6]
[3,2,7,5,4,6,1]=>[6,3,2,5,7,4,1]
[3,2,7,5,6,1,4]=>[6,3,2,1,7,5,4]
[3,2,7,5,6,4,1]=>[4,3,2,6,7,5,1]
[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]
[3,2,7,6,1,5,4]=>[6,3,2,5,1,7,4]
[3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]
[3,2,7,6,4,5,1]=>[5,3,2,6,4,7,1]
[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4]
[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]
[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]
[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]
[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]
[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]
[3,4,1,2,7,6,5]=>[4,1,3,2,6,7,5]
[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]
[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]
[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]
[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]
[3,4,1,5,7,2,6]=>[4,7,3,1,5,2,6]
[3,4,1,5,7,6,2]=>[4,6,3,1,5,7,2]
[3,4,1,6,2,5,7]=>[4,6,3,1,2,5,7]
[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]
[3,4,1,6,5,2,7]=>[4,5,3,1,6,2,7]
[3,4,1,6,5,7,2]=>[4,7,3,1,6,5,2]
[3,4,1,6,7,2,5]=>[4,7,3,1,2,6,5]
[3,4,1,6,7,5,2]=>[4,5,3,1,7,6,2]
[3,4,1,7,2,5,6]=>[4,7,3,1,2,5,6]
[3,4,1,7,2,6,5]=>[4,7,3,1,6,2,5]
[3,4,1,7,5,2,6]=>[4,5,3,1,7,2,6]
[3,4,1,7,5,6,2]=>[4,6,3,1,7,5,2]
[3,4,1,7,6,2,5]=>[4,6,3,1,2,7,5]
[3,4,1,7,6,5,2]=>[4,5,3,1,6,7,2]
[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]
[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]
[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]
[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]
[3,4,2,1,7,5,6]=>[2,4,3,1,7,5,6]
[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]
[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]
[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]
[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]
[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]
[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]
[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1]
[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7]
[3,4,2,6,1,7,5]=>[6,4,3,2,7,1,5]
[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]
[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]
[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]
[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]
[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]
[3,4,2,7,1,6,5]=>[7,4,3,2,6,1,5]
[3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]
[3,4,2,7,5,6,1]=>[6,4,3,2,7,5,1]
[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5]
[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1]
[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]
[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]
[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]
[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]
[3,4,5,1,7,2,6]=>[5,7,3,4,1,2,6]
[3,4,5,1,7,6,2]=>[5,6,3,4,1,7,2]
[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]
[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]
[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]
[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]
[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]
[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1]
[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]
[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]
[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]
[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]
[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]
[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]
[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]
[3,4,5,7,1,6,2]=>[7,6,3,4,5,1,2]
[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]
[3,4,5,7,2,6,1]=>[6,7,3,4,5,2,1]
[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2]
[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]
[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]
[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]
[3,4,6,1,5,2,7]=>[6,5,3,4,1,2,7]
[3,4,6,1,5,7,2]=>[6,7,3,4,1,5,2]
[3,4,6,1,7,2,5]=>[6,7,3,4,2,1,5]
[3,4,6,1,7,5,2]=>[6,5,3,4,7,1,2]
[3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]
[3,4,6,2,1,7,5]=>[2,6,3,4,7,1,5]
[3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]
[3,4,6,2,5,7,1]=>[7,6,3,4,2,5,1]
[3,4,6,2,7,1,5]=>[7,6,3,4,1,2,5]
[3,4,6,2,7,5,1]=>[5,7,3,4,6,1,2]
[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7]
[3,4,6,5,1,7,2]=>[5,6,3,4,7,2,1]
[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]
[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]
[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2]
[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]
[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]
[3,4,6,7,1,5,2]=>[7,5,3,4,1,6,2]
[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]
[3,4,6,7,2,5,1]=>[5,7,3,4,2,6,1]
[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2]
[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]
[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]
[3,4,7,1,2,6,5]=>[7,1,3,4,6,2,5]
[3,4,7,1,5,2,6]=>[7,5,3,4,1,2,6]
[3,4,7,1,5,6,2]=>[7,6,3,4,1,5,2]
[3,4,7,1,6,2,5]=>[7,6,3,4,2,1,5]
[3,4,7,1,6,5,2]=>[7,5,3,4,6,1,2]
[3,4,7,2,1,5,6]=>[2,7,3,4,1,5,6]
[3,4,7,2,1,6,5]=>[2,7,3,4,6,1,5]
[3,4,7,2,5,1,6]=>[5,7,3,4,2,1,6]
[3,4,7,2,5,6,1]=>[6,7,3,4,2,5,1]
[3,4,7,2,6,1,5]=>[6,7,3,4,1,2,5]
[3,4,7,2,6,5,1]=>[5,6,3,4,7,1,2]
[3,4,7,5,1,2,6]=>[5,1,3,4,7,2,6]
[3,4,7,5,1,6,2]=>[5,7,3,4,6,2,1]
[3,4,7,5,2,1,6]=>[2,5,3,4,7,1,6]
[3,4,7,5,2,6,1]=>[6,5,3,4,7,2,1]
[3,4,7,5,6,1,2]=>[6,1,3,4,7,5,2]
[3,4,7,5,6,2,1]=>[2,6,3,4,7,5,1]
[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5]
[3,4,7,6,1,5,2]=>[6,5,3,4,1,7,2]
[3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]
[3,4,7,6,2,5,1]=>[5,6,3,4,2,7,1]
[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2]
[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]
[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]
[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]
[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]
[3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]
[3,5,1,2,7,4,6]=>[5,1,3,7,2,4,6]
[3,5,1,2,7,6,4]=>[5,1,3,6,2,7,4]
[3,5,1,4,2,6,7]=>[5,4,3,1,2,6,7]
[3,5,1,4,2,7,6]=>[5,4,3,1,2,7,6]
[3,5,1,4,6,2,7]=>[5,6,3,1,4,2,7]
[3,5,1,4,6,7,2]=>[5,7,3,1,4,6,2]
[3,5,1,4,7,2,6]=>[5,7,3,1,4,2,6]
[3,5,1,4,7,6,2]=>[5,6,3,1,4,7,2]
[3,5,1,6,2,4,7]=>[5,6,3,2,1,4,7]
[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]
[3,5,1,6,4,2,7]=>[5,4,3,6,1,2,7]
[3,5,1,6,4,7,2]=>[5,7,3,6,1,4,2]
[3,5,1,6,7,2,4]=>[5,7,3,2,1,6,4]
[3,5,1,6,7,4,2]=>[5,4,3,7,1,6,2]
[3,5,1,7,2,4,6]=>[5,7,3,2,1,4,6]
[3,5,1,7,2,6,4]=>[5,7,3,6,1,2,4]
[3,5,1,7,4,2,6]=>[5,4,3,7,1,2,6]
[3,5,1,7,4,6,2]=>[5,6,3,7,1,4,2]
[3,5,1,7,6,2,4]=>[5,6,3,2,1,7,4]
[3,5,1,7,6,4,2]=>[5,4,3,6,1,7,2]
[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]
[3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6]
[3,5,2,1,6,4,7]=>[2,5,3,6,1,4,7]
[3,5,2,1,6,7,4]=>[2,5,3,7,1,6,4]
[3,5,2,1,7,4,6]=>[2,5,3,7,1,4,6]
[3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4]
[3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]
[3,5,2,4,1,7,6]=>[4,5,3,2,1,7,6]
[3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]
[3,5,2,4,6,7,1]=>[7,5,3,2,4,6,1]
[3,5,2,4,7,1,6]=>[7,5,3,2,4,1,6]
[3,5,2,4,7,6,1]=>[6,5,3,2,4,7,1]
[3,5,2,6,1,4,7]=>[6,5,3,1,2,4,7]
[3,5,2,6,1,7,4]=>[6,5,3,7,2,1,4]
[3,5,2,6,4,1,7]=>[4,6,3,5,1,2,7]
[3,5,2,6,4,7,1]=>[7,5,3,6,2,4,1]
[3,5,2,6,7,1,4]=>[7,5,3,1,2,6,4]
[3,5,2,6,7,4,1]=>[4,7,3,5,1,6,2]
[3,5,2,7,1,4,6]=>[7,5,3,1,2,4,6]
[3,5,2,7,1,6,4]=>[7,5,3,6,2,1,4]
[3,5,2,7,4,1,6]=>[4,7,3,5,1,2,6]
[3,5,2,7,4,6,1]=>[6,5,3,7,2,4,1]
[3,5,2,7,6,1,4]=>[6,5,3,1,2,7,4]
[3,5,2,7,6,4,1]=>[4,6,3,5,1,7,2]
[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7]
[3,5,4,1,2,7,6]=>[4,1,3,5,2,7,6]
[3,5,4,1,6,2,7]=>[4,5,3,6,2,1,7]
[3,5,4,1,6,7,2]=>[4,5,3,7,2,6,1]
[3,5,4,1,7,2,6]=>[4,5,3,7,2,1,6]
[3,5,4,1,7,6,2]=>[4,5,3,6,2,7,1]
[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]
[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]
[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]
[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]
[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6]
[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1]
[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7]
[3,5,4,6,1,7,2]=>[6,7,3,5,4,1,2]
[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]
[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]
[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2]
[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]
[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6]
[3,5,4,7,1,6,2]=>[7,6,3,5,4,1,2]
[3,5,4,7,2,1,6]=>[2,7,3,5,4,1,6]
[3,5,4,7,2,6,1]=>[6,7,3,5,4,2,1]
[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2]
[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]
[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]
[3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]
[3,5,6,1,4,2,7]=>[6,4,3,1,5,2,7]
[3,5,6,1,4,7,2]=>[6,7,3,1,5,4,2]
[3,5,6,1,7,2,4]=>[6,7,3,2,5,1,4]
[3,5,6,1,7,4,2]=>[6,4,3,7,5,1,2]
[3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]
[3,5,6,2,1,7,4]=>[2,6,3,7,5,1,4]
[3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]
[3,5,6,2,4,7,1]=>[7,6,3,2,5,4,1]
[3,5,6,2,7,1,4]=>[7,6,3,1,5,2,4]
[3,5,6,2,7,4,1]=>[4,7,3,6,5,1,2]
[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7]
[3,5,6,4,1,7,2]=>[4,6,3,7,5,2,1]
[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]
[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]
[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2]
[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]
[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]
[3,5,6,7,1,4,2]=>[7,4,3,1,5,6,2]
[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]
[3,5,6,7,2,4,1]=>[4,7,3,2,5,6,1]
[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2]
[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]
[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]
[3,5,7,1,2,6,4]=>[7,1,3,6,5,2,4]
[3,5,7,1,4,2,6]=>[7,4,3,1,5,2,6]
[3,5,7,1,4,6,2]=>[7,6,3,1,5,4,2]
[3,5,7,1,6,2,4]=>[7,6,3,2,5,1,4]
[3,5,7,1,6,4,2]=>[7,4,3,6,5,1,2]
[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]
[3,5,7,2,1,6,4]=>[2,7,3,6,5,1,4]
[3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]
[3,5,7,2,4,6,1]=>[6,7,3,2,5,4,1]
[3,5,7,2,6,1,4]=>[6,7,3,1,5,2,4]
[3,5,7,2,6,4,1]=>[4,6,3,7,5,1,2]
[3,5,7,4,1,2,6]=>[4,1,3,7,5,2,6]
[3,5,7,4,1,6,2]=>[4,7,3,6,5,2,1]
[3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]
[3,5,7,4,2,6,1]=>[6,4,3,7,5,2,1]
[3,5,7,4,6,1,2]=>[6,1,3,7,5,4,2]
[3,5,7,4,6,2,1]=>[2,6,3,7,5,4,1]
[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4]
[3,5,7,6,1,4,2]=>[6,4,3,1,5,7,2]
[3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]
[3,5,7,6,2,4,1]=>[4,6,3,2,5,7,1]
[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2]
[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]
[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]
[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]
[3,6,1,2,5,4,7]=>[6,1,3,5,2,4,7]
[3,6,1,2,5,7,4]=>[6,1,3,7,2,5,4]
[3,6,1,2,7,4,5]=>[6,1,3,7,4,2,5]
[3,6,1,2,7,5,4]=>[6,1,3,5,7,2,4]
[3,6,1,4,2,5,7]=>[6,4,3,1,2,5,7]
[3,6,1,4,2,7,5]=>[6,4,3,1,7,2,5]
[3,6,1,4,5,2,7]=>[6,5,3,1,4,2,7]
[3,6,1,4,5,7,2]=>[6,7,3,1,4,5,2]
[3,6,1,4,7,2,5]=>[6,7,3,1,2,4,5]
[3,6,1,4,7,5,2]=>[6,5,3,1,7,4,2]
[3,6,1,5,2,4,7]=>[6,5,3,2,1,4,7]
[3,6,1,5,2,7,4]=>[6,5,3,7,1,2,4]
[3,6,1,5,4,2,7]=>[6,4,3,5,1,2,7]
[3,6,1,5,4,7,2]=>[6,7,3,5,1,4,2]
[3,6,1,5,7,2,4]=>[6,7,3,2,1,5,4]
[3,6,1,5,7,4,2]=>[6,4,3,7,1,5,2]
[3,6,1,7,2,4,5]=>[6,7,3,2,4,1,5]
[3,6,1,7,2,5,4]=>[6,7,3,5,2,1,4]
[3,6,1,7,4,2,5]=>[6,4,3,7,2,1,5]
[3,6,1,7,4,5,2]=>[6,5,3,7,4,1,2]
[3,6,1,7,5,2,4]=>[6,5,3,2,7,1,4]
[3,6,1,7,5,4,2]=>[6,4,3,5,7,1,2]
[3,6,2,1,4,5,7]=>[2,6,3,1,4,5,7]
[3,6,2,1,4,7,5]=>[2,6,3,1,7,4,5]
[3,6,2,1,5,4,7]=>[2,6,3,5,1,4,7]
[3,6,2,1,5,7,4]=>[2,6,3,7,1,5,4]
[3,6,2,1,7,4,5]=>[2,6,3,7,4,1,5]
[3,6,2,1,7,5,4]=>[2,6,3,5,7,1,4]
[3,6,2,4,1,5,7]=>[4,6,3,2,1,5,7]
[3,6,2,4,1,7,5]=>[4,6,3,2,7,1,5]
[3,6,2,4,5,1,7]=>[5,6,3,2,4,1,7]
[3,6,2,4,5,7,1]=>[7,6,3,2,4,5,1]
[3,6,2,4,7,1,5]=>[7,6,3,2,1,4,5]
[3,6,2,4,7,5,1]=>[5,7,3,1,6,4,2]
[3,6,2,5,1,4,7]=>[5,6,3,1,2,4,7]
[3,6,2,5,1,7,4]=>[5,6,3,7,2,1,4]
[3,6,2,5,4,1,7]=>[4,5,3,6,1,2,7]
[3,6,2,5,4,7,1]=>[7,6,3,5,2,4,1]
[3,6,2,5,7,1,4]=>[7,6,3,1,2,5,4]
[3,6,2,5,7,4,1]=>[4,7,3,6,1,5,2]
[3,6,2,7,1,4,5]=>[7,6,3,1,4,2,5]
[3,6,2,7,1,5,4]=>[7,6,3,5,1,2,4]
[3,6,2,7,4,1,5]=>[4,7,3,6,2,1,5]
[3,6,2,7,4,5,1]=>[5,6,3,7,4,2,1]
[3,6,2,7,5,1,4]=>[5,7,3,2,6,1,4]
[3,6,2,7,5,4,1]=>[4,5,3,7,6,2,1]
[3,6,4,1,2,5,7]=>[4,1,3,6,2,5,7]
[3,6,4,1,2,7,5]=>[4,1,3,6,7,2,5]
[3,6,4,1,5,2,7]=>[4,6,3,5,2,1,7]
[3,6,4,1,5,7,2]=>[4,6,3,7,2,5,1]
[3,6,4,1,7,2,5]=>[4,6,3,7,1,2,5]
[3,6,4,1,7,5,2]=>[4,6,3,5,7,2,1]
[3,6,4,2,1,5,7]=>[2,4,3,6,1,5,7]
[3,6,4,2,1,7,5]=>[2,4,3,6,7,1,5]
[3,6,4,2,5,1,7]=>[5,4,3,6,2,1,7]
[3,6,4,2,5,7,1]=>[7,4,3,6,2,5,1]
[3,6,4,2,7,1,5]=>[7,4,3,6,1,2,5]
[3,6,4,2,7,5,1]=>[5,4,3,7,6,1,2]
[3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]
[3,6,4,5,1,7,2]=>[5,7,3,6,4,1,2]
[3,6,4,5,2,1,7]=>[2,5,3,6,4,1,7]
[3,6,4,5,2,7,1]=>[7,5,3,6,4,2,1]
[3,6,4,5,7,1,2]=>[7,1,3,6,4,5,2]
[3,6,4,5,7,2,1]=>[2,7,3,6,4,5,1]
[3,6,4,7,1,2,5]=>[7,1,3,6,2,4,5]
[3,6,4,7,1,5,2]=>[7,5,3,6,1,4,2]
[3,6,4,7,2,1,5]=>[2,7,3,6,1,4,5]
[3,6,4,7,2,5,1]=>[5,7,3,6,2,4,1]
[3,6,4,7,5,1,2]=>[5,1,3,7,6,2,4]
[3,6,4,7,5,2,1]=>[2,5,3,7,6,1,4]
[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7]
[3,6,5,1,2,7,4]=>[5,1,3,6,7,4,2]
[3,6,5,1,4,2,7]=>[5,4,3,1,6,2,7]
[3,6,5,1,4,7,2]=>[5,6,3,2,7,4,1]
[3,6,5,1,7,2,4]=>[5,6,3,1,7,2,4]
[3,6,5,1,7,4,2]=>[5,4,3,6,7,2,1]
[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]
[3,6,5,2,1,7,4]=>[2,5,3,6,7,4,1]
[3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]
[3,6,5,2,4,7,1]=>[7,5,3,2,6,4,1]
[3,6,5,2,7,1,4]=>[7,5,3,1,6,2,4]
[3,6,5,2,7,4,1]=>[4,7,3,5,6,1,2]
[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7]
[3,6,5,4,1,7,2]=>[4,5,3,6,7,1,2]
[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]
[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]
[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2]
[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]
[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4]
[3,6,5,7,1,4,2]=>[7,4,3,1,6,5,2]
[3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]
[3,6,5,7,2,4,1]=>[4,7,3,2,6,5,1]
[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2]
[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]
[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]
[3,6,7,1,2,5,4]=>[7,1,3,5,2,6,4]
[3,6,7,1,4,2,5]=>[7,4,3,1,2,6,5]
[3,6,7,1,4,5,2]=>[7,5,3,1,4,6,2]
[3,6,7,1,5,2,4]=>[7,5,3,2,1,6,4]
[3,6,7,1,5,4,2]=>[7,4,3,5,1,6,2]
[3,6,7,2,1,4,5]=>[2,7,3,1,4,6,5]
[3,6,7,2,1,5,4]=>[2,7,3,5,1,6,4]
[3,6,7,2,4,1,5]=>[4,7,3,2,1,6,5]
[3,6,7,2,4,5,1]=>[5,7,3,2,4,6,1]
[3,6,7,2,5,1,4]=>[5,7,3,1,2,6,4]
[3,6,7,2,5,4,1]=>[4,5,3,7,1,6,2]
[3,6,7,4,1,2,5]=>[4,1,3,7,2,6,5]
[3,6,7,4,1,5,2]=>[4,7,3,5,2,6,1]
[3,6,7,4,2,1,5]=>[2,4,3,7,1,6,5]
[3,6,7,4,2,5,1]=>[5,4,3,7,2,6,1]
[3,6,7,4,5,1,2]=>[5,1,3,7,4,6,2]
[3,6,7,4,5,2,1]=>[2,5,3,7,4,6,1]
[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4]
[3,6,7,5,1,4,2]=>[5,4,3,1,7,6,2]
[3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]
[3,6,7,5,2,4,1]=>[4,5,3,2,7,6,1]
[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2]
[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]
[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]
[3,7,1,2,4,6,5]=>[7,1,3,2,6,4,5]
[3,7,1,2,5,4,6]=>[7,1,3,5,2,4,6]
[3,7,1,2,5,6,4]=>[7,1,3,6,2,5,4]
[3,7,1,2,6,4,5]=>[7,1,3,6,4,2,5]
[3,7,1,2,6,5,4]=>[7,1,3,5,6,2,4]
[3,7,1,4,2,5,6]=>[7,4,3,1,2,5,6]
[3,7,1,4,2,6,5]=>[7,4,3,1,6,2,5]
[3,7,1,4,5,2,6]=>[7,5,3,1,4,2,6]
[3,7,1,4,5,6,2]=>[7,6,3,1,4,5,2]
[3,7,1,4,6,2,5]=>[7,6,3,1,2,4,5]
[3,7,1,4,6,5,2]=>[7,5,3,1,6,4,2]
[3,7,1,5,2,4,6]=>[7,5,3,2,1,4,6]
[3,7,1,5,2,6,4]=>[7,5,3,6,1,2,4]
[3,7,1,5,4,2,6]=>[7,4,3,5,1,2,6]
[3,7,1,5,4,6,2]=>[7,6,3,5,1,4,2]
[3,7,1,5,6,2,4]=>[7,6,3,2,1,5,4]
[3,7,1,5,6,4,2]=>[7,4,3,6,1,5,2]
[3,7,1,6,2,4,5]=>[7,6,3,2,4,1,5]
[3,7,1,6,2,5,4]=>[7,6,3,5,2,1,4]
[3,7,1,6,4,2,5]=>[7,4,3,6,2,1,5]
[3,7,1,6,4,5,2]=>[7,5,3,6,4,1,2]
[3,7,1,6,5,2,4]=>[7,5,3,2,6,1,4]
[3,7,1,6,5,4,2]=>[7,4,3,5,6,1,2]
[3,7,2,1,4,5,6]=>[2,7,3,1,4,5,6]
[3,7,2,1,4,6,5]=>[2,7,3,1,6,4,5]
[3,7,2,1,5,4,6]=>[2,7,3,5,1,4,6]
[3,7,2,1,5,6,4]=>[2,7,3,6,1,5,4]
[3,7,2,1,6,4,5]=>[2,7,3,6,4,1,5]
[3,7,2,1,6,5,4]=>[2,7,3,5,6,1,4]
[3,7,2,4,1,5,6]=>[4,7,3,2,1,5,6]
[3,7,2,4,1,6,5]=>[4,7,3,2,6,1,5]
[3,7,2,4,5,1,6]=>[5,7,3,2,4,1,6]
[3,7,2,4,5,6,1]=>[6,7,3,2,4,5,1]
[3,7,2,4,6,1,5]=>[6,7,3,2,1,4,5]
[3,7,2,4,6,5,1]=>[5,6,3,1,7,4,2]
[3,7,2,5,1,4,6]=>[5,7,3,1,2,4,6]
[3,7,2,5,1,6,4]=>[5,7,3,6,2,1,4]
[3,7,2,5,4,1,6]=>[4,5,3,7,1,2,6]
[3,7,2,5,4,6,1]=>[6,7,3,5,2,4,1]
[3,7,2,5,6,1,4]=>[6,7,3,1,2,5,4]
[3,7,2,5,6,4,1]=>[4,6,3,7,1,5,2]
[3,7,2,6,1,4,5]=>[6,7,3,1,4,2,5]
[3,7,2,6,1,5,4]=>[6,7,3,5,1,2,4]
[3,7,2,6,4,1,5]=>[4,6,3,7,2,1,5]
[3,7,2,6,4,5,1]=>[5,7,3,6,4,2,1]
[3,7,2,6,5,1,4]=>[5,6,3,2,7,1,4]
[3,7,2,6,5,4,1]=>[4,5,3,6,7,2,1]
[3,7,4,1,2,5,6]=>[4,1,3,7,2,5,6]
[3,7,4,1,2,6,5]=>[4,1,3,7,6,2,5]
[3,7,4,1,5,2,6]=>[4,7,3,5,2,1,6]
[3,7,4,1,5,6,2]=>[4,7,3,6,2,5,1]
[3,7,4,1,6,2,5]=>[4,7,3,6,1,2,5]
[3,7,4,1,6,5,2]=>[4,7,3,5,6,2,1]
[3,7,4,2,1,5,6]=>[2,4,3,7,1,5,6]
[3,7,4,2,1,6,5]=>[2,4,3,7,6,1,5]
[3,7,4,2,5,1,6]=>[5,4,3,7,2,1,6]
[3,7,4,2,5,6,1]=>[6,4,3,7,2,5,1]
[3,7,4,2,6,1,5]=>[6,4,3,7,1,2,5]
[3,7,4,2,6,5,1]=>[5,4,3,6,7,1,2]
[3,7,4,5,1,2,6]=>[5,1,3,7,4,2,6]
[3,7,4,5,1,6,2]=>[5,6,3,7,4,1,2]
[3,7,4,5,2,1,6]=>[2,5,3,7,4,1,6]
[3,7,4,5,2,6,1]=>[6,5,3,7,4,2,1]
[3,7,4,5,6,1,2]=>[6,1,3,7,4,5,2]
[3,7,4,5,6,2,1]=>[2,6,3,7,4,5,1]
[3,7,4,6,1,2,5]=>[6,1,3,7,2,4,5]
[3,7,4,6,1,5,2]=>[6,5,3,7,1,4,2]
[3,7,4,6,2,1,5]=>[2,6,3,7,1,4,5]
[3,7,4,6,2,5,1]=>[5,6,3,7,2,4,1]
[3,7,4,6,5,1,2]=>[5,1,3,6,7,2,4]
[3,7,4,6,5,2,1]=>[2,5,3,6,7,1,4]
[3,7,5,1,2,4,6]=>[5,1,3,2,7,4,6]
[3,7,5,1,2,6,4]=>[5,1,3,7,6,4,2]
[3,7,5,1,4,2,6]=>[5,4,3,1,7,2,6]
[3,7,5,1,4,6,2]=>[5,7,3,2,6,4,1]
[3,7,5,1,6,2,4]=>[5,7,3,1,6,2,4]
[3,7,5,1,6,4,2]=>[5,4,3,7,6,2,1]
[3,7,5,2,1,4,6]=>[2,5,3,1,7,4,6]
[3,7,5,2,1,6,4]=>[2,5,3,7,6,4,1]
[3,7,5,2,4,1,6]=>[4,5,3,2,7,1,6]
[3,7,5,2,4,6,1]=>[6,5,3,2,7,4,1]
[3,7,5,2,6,1,4]=>[6,5,3,1,7,2,4]
[3,7,5,2,6,4,1]=>[4,6,3,5,7,1,2]
[3,7,5,4,1,2,6]=>[4,1,3,5,7,2,6]
[3,7,5,4,1,6,2]=>[4,5,3,7,6,1,2]
[3,7,5,4,2,1,6]=>[2,4,3,5,7,1,6]
[3,7,5,4,2,6,1]=>[6,4,3,5,7,2,1]
[3,7,5,4,6,1,2]=>[6,1,3,5,7,4,2]
[3,7,5,4,6,2,1]=>[2,6,3,5,7,4,1]
[3,7,5,6,1,2,4]=>[6,1,3,2,7,5,4]
[3,7,5,6,1,4,2]=>[6,4,3,1,7,5,2]
[3,7,5,6,2,1,4]=>[2,6,3,1,7,5,4]
[3,7,5,6,2,4,1]=>[4,6,3,2,7,5,1]
[3,7,5,6,4,1,2]=>[4,1,3,6,7,5,2]
[3,7,5,6,4,2,1]=>[2,4,3,6,7,5,1]
[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5]
[3,7,6,1,2,5,4]=>[6,1,3,5,2,7,4]
[3,7,6,1,4,2,5]=>[6,4,3,1,2,7,5]
[3,7,6,1,4,5,2]=>[6,5,3,1,4,7,2]
[3,7,6,1,5,2,4]=>[6,5,3,2,1,7,4]
[3,7,6,1,5,4,2]=>[6,4,3,5,1,7,2]
[3,7,6,2,1,4,5]=>[2,6,3,1,4,7,5]
[3,7,6,2,1,5,4]=>[2,6,3,5,1,7,4]
[3,7,6,2,4,1,5]=>[4,6,3,2,1,7,5]
[3,7,6,2,4,5,1]=>[5,6,3,2,4,7,1]
[3,7,6,2,5,1,4]=>[5,6,3,1,2,7,4]
[3,7,6,2,5,4,1]=>[4,5,3,6,1,7,2]
[3,7,6,4,1,2,5]=>[4,1,3,6,2,7,5]
[3,7,6,4,1,5,2]=>[4,6,3,5,2,7,1]
[3,7,6,4,2,1,5]=>[2,4,3,6,1,7,5]
[3,7,6,4,2,5,1]=>[5,4,3,6,2,7,1]
[3,7,6,4,5,1,2]=>[5,1,3,6,4,7,2]
[3,7,6,4,5,2,1]=>[2,5,3,6,4,7,1]
[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4]
[3,7,6,5,1,4,2]=>[5,4,3,1,6,7,2]
[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]
[3,7,6,5,2,4,1]=>[4,5,3,2,6,7,1]
[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2]
[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]
[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]
[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]
[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]
[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]
[4,1,2,5,6,3,7]=>[4,1,6,2,5,3,7]
[4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]
[4,1,2,5,7,3,6]=>[4,1,7,2,5,3,6]
[4,1,2,5,7,6,3]=>[4,1,6,2,5,7,3]
[4,1,2,6,3,5,7]=>[4,1,6,2,3,5,7]
[4,1,2,6,3,7,5]=>[4,1,6,2,7,3,5]
[4,1,2,6,5,3,7]=>[4,1,5,2,6,3,7]
[4,1,2,6,5,7,3]=>[4,1,7,2,6,5,3]
[4,1,2,6,7,3,5]=>[4,1,7,2,3,6,5]
[4,1,2,6,7,5,3]=>[4,1,5,2,7,6,3]
[4,1,2,7,3,5,6]=>[4,1,7,2,3,5,6]
[4,1,2,7,3,6,5]=>[4,1,7,2,6,3,5]
[4,1,2,7,5,3,6]=>[4,1,5,2,7,3,6]
[4,1,2,7,5,6,3]=>[4,1,6,2,7,5,3]
[4,1,2,7,6,3,5]=>[4,1,6,2,3,7,5]
[4,1,2,7,6,5,3]=>[4,1,5,2,6,7,3]
[4,1,3,2,5,6,7]=>[4,3,1,2,5,6,7]
[4,1,3,2,5,7,6]=>[4,3,1,2,5,7,6]
[4,1,3,2,6,5,7]=>[4,3,1,2,6,5,7]
[4,1,3,2,6,7,5]=>[4,3,1,2,7,6,5]
[4,1,3,2,7,5,6]=>[4,3,1,2,7,5,6]
[4,1,3,2,7,6,5]=>[4,3,1,2,6,7,5]
[4,1,3,5,2,6,7]=>[4,5,1,3,2,6,7]
[4,1,3,5,2,7,6]=>[4,5,1,3,2,7,6]
[4,1,3,5,6,2,7]=>[4,6,1,3,5,2,7]
[4,1,3,5,6,7,2]=>[4,7,1,3,5,6,2]
[4,1,3,5,7,2,6]=>[4,7,1,3,5,2,6]
[4,1,3,5,7,6,2]=>[4,6,1,3,5,7,2]
[4,1,3,6,2,5,7]=>[4,6,1,3,2,5,7]
[4,1,3,6,2,7,5]=>[4,6,1,3,7,2,5]
[4,1,3,6,5,2,7]=>[4,5,1,3,6,2,7]
[4,1,3,6,5,7,2]=>[4,7,1,3,6,5,2]
[4,1,3,6,7,2,5]=>[4,7,1,3,2,6,5]
[4,1,3,6,7,5,2]=>[4,5,1,3,7,6,2]
[4,1,3,7,2,5,6]=>[4,7,1,3,2,5,6]
[4,1,3,7,2,6,5]=>[4,7,1,3,6,2,5]
[4,1,3,7,5,2,6]=>[4,5,1,3,7,2,6]
[4,1,3,7,5,6,2]=>[4,6,1,3,7,5,2]
[4,1,3,7,6,2,5]=>[4,6,1,3,2,7,5]
[4,1,3,7,6,5,2]=>[4,5,1,3,6,7,2]
[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]
[4,1,5,2,3,7,6]=>[4,5,2,1,3,7,6]
[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]
[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]
[4,1,5,2,7,3,6]=>[4,5,7,1,2,3,6]
[4,1,5,2,7,6,3]=>[4,5,6,1,2,7,3]
[4,1,5,3,2,6,7]=>[4,3,5,1,2,6,7]
[4,1,5,3,2,7,6]=>[4,3,5,1,2,7,6]
[4,1,5,3,6,2,7]=>[4,6,5,1,3,2,7]
[4,1,5,3,6,7,2]=>[4,7,5,1,3,6,2]
[4,1,5,3,7,2,6]=>[4,7,5,1,3,2,6]
[4,1,5,3,7,6,2]=>[4,6,5,1,3,7,2]
[4,1,5,6,2,3,7]=>[4,6,2,1,5,3,7]
[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]
[4,1,5,6,3,2,7]=>[4,3,6,1,5,2,7]
[4,1,5,6,3,7,2]=>[4,7,6,1,5,3,2]
[4,1,5,6,7,2,3]=>[4,7,2,1,5,6,3]
[4,1,5,6,7,3,2]=>[4,3,7,1,5,6,2]
[4,1,5,7,2,3,6]=>[4,7,2,1,5,3,6]
[4,1,5,7,2,6,3]=>[4,7,6,1,5,2,3]
[4,1,5,7,3,2,6]=>[4,3,7,1,5,2,6]
[4,1,5,7,3,6,2]=>[4,6,7,1,5,3,2]
[4,1,5,7,6,2,3]=>[4,6,2,1,5,7,3]
[4,1,5,7,6,3,2]=>[4,3,6,1,5,7,2]
[4,1,6,2,3,5,7]=>[4,6,2,1,3,5,7]
[4,1,6,2,3,7,5]=>[4,6,2,1,7,3,5]
[4,1,6,2,5,3,7]=>[4,6,5,1,2,3,7]
[4,1,6,2,5,7,3]=>[4,6,7,1,2,5,3]
[4,1,6,2,7,3,5]=>[4,6,7,1,3,2,5]
[4,1,6,2,7,5,3]=>[4,6,5,1,7,2,3]
[4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]
[4,1,6,3,2,7,5]=>[4,3,6,1,7,2,5]
[4,1,6,3,5,2,7]=>[4,5,6,1,3,2,7]
[4,1,6,3,5,7,2]=>[4,7,6,1,3,5,2]
[4,1,6,3,7,2,5]=>[4,7,6,1,2,3,5]
[4,1,6,3,7,5,2]=>[4,5,7,1,6,2,3]
[4,1,6,5,2,3,7]=>[4,5,2,1,6,3,7]
[4,1,6,5,2,7,3]=>[4,5,6,1,7,3,2]
[4,1,6,5,3,2,7]=>[4,3,5,1,6,2,7]
[4,1,6,5,3,7,2]=>[4,7,5,1,6,3,2]
[4,1,6,5,7,2,3]=>[4,7,2,1,6,5,3]
[4,1,6,5,7,3,2]=>[4,3,7,1,6,5,2]
[4,1,6,7,2,3,5]=>[4,7,2,1,3,6,5]
[4,1,6,7,2,5,3]=>[4,7,5,1,2,6,3]
[4,1,6,7,3,2,5]=>[4,3,7,1,2,6,5]
[4,1,6,7,3,5,2]=>[4,5,7,1,3,6,2]
[4,1,6,7,5,2,3]=>[4,5,2,1,7,6,3]
[4,1,6,7,5,3,2]=>[4,3,5,1,7,6,2]
[4,1,7,2,3,5,6]=>[4,7,2,1,3,5,6]
[4,1,7,2,3,6,5]=>[4,7,2,1,6,3,5]
[4,1,7,2,5,3,6]=>[4,7,5,1,2,3,6]
[4,1,7,2,5,6,3]=>[4,7,6,1,2,5,3]
[4,1,7,2,6,3,5]=>[4,7,6,1,3,2,5]
[4,1,7,2,6,5,3]=>[4,7,5,1,6,2,3]
[4,1,7,3,2,5,6]=>[4,3,7,1,2,5,6]
[4,1,7,3,2,6,5]=>[4,3,7,1,6,2,5]
[4,1,7,3,5,2,6]=>[4,5,7,1,3,2,6]
[4,1,7,3,5,6,2]=>[4,6,7,1,3,5,2]
[4,1,7,3,6,2,5]=>[4,6,7,1,2,3,5]
[4,1,7,3,6,5,2]=>[4,5,6,1,7,2,3]
[4,1,7,5,2,3,6]=>[4,5,2,1,7,3,6]
[4,1,7,5,2,6,3]=>[4,5,7,1,6,3,2]
[4,1,7,5,3,2,6]=>[4,3,5,1,7,2,6]
[4,1,7,5,3,6,2]=>[4,6,5,1,7,3,2]
[4,1,7,5,6,2,3]=>[4,6,2,1,7,5,3]
[4,1,7,5,6,3,2]=>[4,3,6,1,7,5,2]
[4,1,7,6,2,3,5]=>[4,6,2,1,3,7,5]
[4,1,7,6,2,5,3]=>[4,6,5,1,2,7,3]
[4,1,7,6,3,2,5]=>[4,3,6,1,2,7,5]
[4,1,7,6,3,5,2]=>[4,5,6,1,3,7,2]
[4,1,7,6,5,2,3]=>[4,5,2,1,6,7,3]
[4,1,7,6,5,3,2]=>[4,3,5,1,6,7,2]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]
[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]
[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]
[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]
[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]
[4,2,1,5,3,6,7]=>[2,4,5,1,3,6,7]
[4,2,1,5,3,7,6]=>[2,4,5,1,3,7,6]
[4,2,1,5,6,3,7]=>[2,4,6,1,5,3,7]
[4,2,1,5,6,7,3]=>[2,4,7,1,5,6,3]
[4,2,1,5,7,3,6]=>[2,4,7,1,5,3,6]
[4,2,1,5,7,6,3]=>[2,4,6,1,5,7,3]
[4,2,1,6,3,5,7]=>[2,4,6,1,3,5,7]
[4,2,1,6,3,7,5]=>[2,4,6,1,7,3,5]
[4,2,1,6,5,3,7]=>[2,4,5,1,6,3,7]
[4,2,1,6,5,7,3]=>[2,4,7,1,6,5,3]
[4,2,1,6,7,3,5]=>[2,4,7,1,3,6,5]
[4,2,1,6,7,5,3]=>[2,4,5,1,7,6,3]
[4,2,1,7,3,5,6]=>[2,4,7,1,3,5,6]
[4,2,1,7,3,6,5]=>[2,4,7,1,6,3,5]
[4,2,1,7,5,3,6]=>[2,4,5,1,7,3,6]
[4,2,1,7,5,6,3]=>[2,4,6,1,7,5,3]
[4,2,1,7,6,3,5]=>[2,4,6,1,3,7,5]
[4,2,1,7,6,5,3]=>[2,4,5,1,6,7,3]
[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]
[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]
[4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]
[4,2,3,1,7,5,6]=>[3,4,2,1,7,5,6]
[4,2,3,1,7,6,5]=>[3,4,2,1,6,7,5]
[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]
[4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]
[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]
[4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]
[4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]
[4,2,3,5,7,6,1]=>[6,4,2,3,5,7,1]
[4,2,3,6,1,5,7]=>[6,4,2,3,1,5,7]
[4,2,3,6,1,7,5]=>[6,4,2,3,7,1,5]
[4,2,3,6,5,1,7]=>[5,4,2,3,6,1,7]
[4,2,3,6,5,7,1]=>[7,4,2,3,6,5,1]
[4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]
[4,2,3,6,7,5,1]=>[5,4,2,3,7,6,1]
[4,2,3,7,1,5,6]=>[7,4,2,3,1,5,6]
[4,2,3,7,1,6,5]=>[7,4,2,3,6,1,5]
[4,2,3,7,5,1,6]=>[5,4,2,3,7,1,6]
[4,2,3,7,5,6,1]=>[6,4,2,3,7,5,1]
[4,2,3,7,6,1,5]=>[6,4,2,3,1,7,5]
[4,2,3,7,6,5,1]=>[5,4,2,3,6,7,1]
[4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]
[4,2,5,1,3,7,6]=>[5,4,1,2,3,7,6]
[4,2,5,1,6,3,7]=>[5,4,6,2,1,3,7]
[4,2,5,1,6,7,3]=>[5,4,7,2,1,6,3]
[4,2,5,1,7,3,6]=>[5,4,7,2,1,3,6]
[4,2,5,1,7,6,3]=>[5,4,6,2,1,7,3]
[4,2,5,3,1,6,7]=>[3,5,4,1,2,6,7]
[4,2,5,3,1,7,6]=>[3,5,4,1,2,7,6]
[4,2,5,3,6,1,7]=>[6,4,5,2,3,1,7]
[4,2,5,3,6,7,1]=>[7,4,5,2,3,6,1]
[4,2,5,3,7,1,6]=>[7,4,5,2,3,1,6]
[4,2,5,3,7,6,1]=>[6,4,5,2,3,7,1]
[4,2,5,6,1,3,7]=>[6,4,1,2,5,3,7]
[4,2,5,6,1,7,3]=>[6,4,7,2,5,1,3]
[4,2,5,6,3,1,7]=>[3,6,4,1,5,2,7]
[4,2,5,6,3,7,1]=>[7,4,6,2,5,3,1]
[4,2,5,6,7,1,3]=>[7,4,1,2,5,6,3]
[4,2,5,6,7,3,1]=>[3,7,4,1,5,6,2]
[4,2,5,7,1,3,6]=>[7,4,1,2,5,3,6]
[4,2,5,7,1,6,3]=>[7,4,6,2,5,1,3]
[4,2,5,7,3,1,6]=>[3,7,4,1,5,2,6]
[4,2,5,7,3,6,1]=>[6,4,7,2,5,3,1]
[4,2,5,7,6,1,3]=>[6,4,1,2,5,7,3]
[4,2,5,7,6,3,1]=>[3,6,4,1,5,7,2]
[4,2,6,1,3,5,7]=>[6,4,1,2,3,5,7]
[4,2,6,1,3,7,5]=>[6,4,1,2,7,3,5]
[4,2,6,1,5,3,7]=>[6,4,5,2,1,3,7]
[4,2,6,1,5,7,3]=>[6,4,7,2,1,5,3]
[4,2,6,1,7,3,5]=>[6,4,7,2,3,1,5]
[4,2,6,1,7,5,3]=>[6,4,5,2,7,1,3]
[4,2,6,3,1,5,7]=>[3,6,4,1,2,5,7]
[4,2,6,3,1,7,5]=>[3,6,4,1,7,2,5]
[4,2,6,3,5,1,7]=>[5,4,6,2,3,1,7]
[4,2,6,3,5,7,1]=>[7,4,6,2,3,5,1]
[4,2,6,3,7,1,5]=>[7,4,6,2,1,3,5]
[4,2,6,3,7,5,1]=>[5,4,7,2,6,1,3]
[4,2,6,5,1,3,7]=>[5,4,1,2,6,3,7]
[4,2,6,5,1,7,3]=>[5,4,6,2,7,3,1]
[4,2,6,5,3,1,7]=>[3,5,4,1,6,2,7]
[4,2,6,5,3,7,1]=>[7,4,5,2,6,3,1]
[4,2,6,5,7,1,3]=>[7,4,1,2,6,5,3]
[4,2,6,5,7,3,1]=>[3,7,4,1,6,5,2]
[4,2,6,7,1,3,5]=>[7,4,1,2,3,6,5]
[4,2,6,7,1,5,3]=>[7,4,5,2,1,6,3]
[4,2,6,7,3,1,5]=>[3,7,4,1,2,6,5]
[4,2,6,7,3,5,1]=>[5,4,7,2,3,6,1]
[4,2,6,7,5,1,3]=>[5,4,1,2,7,6,3]
[4,2,6,7,5,3,1]=>[3,5,4,1,7,6,2]
[4,2,7,1,3,5,6]=>[7,4,1,2,3,5,6]
[4,2,7,1,3,6,5]=>[7,4,1,2,6,3,5]
[4,2,7,1,5,3,6]=>[7,4,5,2,1,3,6]
[4,2,7,1,5,6,3]=>[7,4,6,2,1,5,3]
[4,2,7,1,6,3,5]=>[7,4,6,2,3,1,5]
[4,2,7,1,6,5,3]=>[7,4,5,2,6,1,3]
[4,2,7,3,1,5,6]=>[3,7,4,1,2,5,6]
[4,2,7,3,1,6,5]=>[3,7,4,1,6,2,5]
[4,2,7,3,5,1,6]=>[5,4,7,2,3,1,6]
[4,2,7,3,5,6,1]=>[6,4,7,2,3,5,1]
[4,2,7,3,6,1,5]=>[6,4,7,2,1,3,5]
[4,2,7,3,6,5,1]=>[5,4,6,2,7,1,3]
[4,2,7,5,1,3,6]=>[5,4,1,2,7,3,6]
[4,2,7,5,1,6,3]=>[5,4,7,2,6,3,1]
[4,2,7,5,3,1,6]=>[3,5,4,1,7,2,6]
[4,2,7,5,3,6,1]=>[6,4,5,2,7,3,1]
[4,2,7,5,6,1,3]=>[6,4,1,2,7,5,3]
[4,2,7,5,6,3,1]=>[3,6,4,1,7,5,2]
[4,2,7,6,1,3,5]=>[6,4,1,2,3,7,5]
[4,2,7,6,1,5,3]=>[6,4,5,2,1,7,3]
[4,2,7,6,3,1,5]=>[3,6,4,1,2,7,5]
[4,2,7,6,3,5,1]=>[5,4,6,2,3,7,1]
[4,2,7,6,5,1,3]=>[5,4,1,2,6,7,3]
[4,2,7,6,5,3,1]=>[3,5,4,1,6,7,2]
[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]
[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]
[4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]
[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]
[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]
[4,3,1,5,2,6,7]=>[3,4,5,2,1,6,7]
[4,3,1,5,2,7,6]=>[3,4,5,2,1,7,6]
[4,3,1,5,6,2,7]=>[3,4,6,2,5,1,7]
[4,3,1,5,6,7,2]=>[3,4,7,2,5,6,1]
[4,3,1,5,7,2,6]=>[3,4,7,2,5,1,6]
[4,3,1,5,7,6,2]=>[3,4,6,2,5,7,1]
[4,3,1,6,2,5,7]=>[3,4,6,2,1,5,7]
[4,3,1,6,2,7,5]=>[3,4,6,2,7,1,5]
[4,3,1,6,5,2,7]=>[3,4,5,2,6,1,7]
[4,3,1,6,5,7,2]=>[3,4,7,2,6,5,1]
[4,3,1,6,7,2,5]=>[3,4,7,2,1,6,5]
[4,3,1,6,7,5,2]=>[3,4,5,2,7,6,1]
[4,3,1,7,2,5,6]=>[3,4,7,2,1,5,6]
[4,3,1,7,2,6,5]=>[3,4,7,2,6,1,5]
[4,3,1,7,5,2,6]=>[3,4,5,2,7,1,6]
[4,3,1,7,5,6,2]=>[3,4,6,2,7,5,1]
[4,3,1,7,6,2,5]=>[3,4,6,2,1,7,5]
[4,3,1,7,6,5,2]=>[3,4,5,2,6,7,1]
[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]
[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]
[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]
[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]
[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]
[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]
[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]
[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]
[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]
[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]
[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1]
[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]
[4,3,2,6,1,7,5]=>[6,3,4,2,7,1,5]
[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]
[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]
[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]
[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]
[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]
[4,3,2,7,1,6,5]=>[7,3,4,2,6,1,5]
[4,3,2,7,5,1,6]=>[5,3,4,2,7,1,6]
[4,3,2,7,5,6,1]=>[6,3,4,2,7,5,1]
[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5]
[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1]
[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]
[4,3,5,1,6,2,7]=>[5,6,4,3,1,2,7]
[4,3,5,1,6,7,2]=>[5,7,4,3,1,6,2]
[4,3,5,1,7,2,6]=>[5,7,4,3,1,2,6]
[4,3,5,1,7,6,2]=>[5,6,4,3,1,7,2]
[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]
[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]
[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]
[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]
[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]
[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1]
[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]
[4,3,5,6,1,7,2]=>[6,7,4,3,5,1,2]
[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]
[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]
[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]
[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]
[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]
[4,3,5,7,1,6,2]=>[7,6,4,3,5,1,2]
[4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]
[4,3,5,7,2,6,1]=>[6,7,4,3,5,2,1]
[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2]
[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]
[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]
[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]
[4,3,6,1,5,2,7]=>[6,5,4,3,1,2,7]
[4,3,6,1,5,7,2]=>[6,7,4,3,1,5,2]
[4,3,6,1,7,2,5]=>[6,7,4,3,2,1,5]
[4,3,6,1,7,5,2]=>[6,5,4,3,7,1,2]
[4,3,6,2,1,5,7]=>[2,6,4,3,1,5,7]
[4,3,6,2,1,7,5]=>[2,6,4,3,7,1,5]
[4,3,6,2,5,1,7]=>[5,6,4,3,2,1,7]
[4,3,6,2,5,7,1]=>[7,6,4,3,2,5,1]
[4,3,6,2,7,1,5]=>[7,6,4,3,1,2,5]
[4,3,6,2,7,5,1]=>[5,7,4,3,6,1,2]
[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7]
[4,3,6,5,1,7,2]=>[5,6,4,3,7,2,1]
[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]
[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1]
[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2]
[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]
[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]
[4,3,6,7,1,5,2]=>[7,5,4,3,1,6,2]
[4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]
[4,3,6,7,2,5,1]=>[5,7,4,3,2,6,1]
[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2]
[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]
[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]
[4,3,7,1,2,6,5]=>[7,1,4,3,6,2,5]
[4,3,7,1,5,2,6]=>[7,5,4,3,1,2,6]
[4,3,7,1,5,6,2]=>[7,6,4,3,1,5,2]
[4,3,7,1,6,2,5]=>[7,6,4,3,2,1,5]
[4,3,7,1,6,5,2]=>[7,5,4,3,6,1,2]
[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]
[4,3,7,2,1,6,5]=>[2,7,4,3,6,1,5]
[4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]
[4,3,7,2,5,6,1]=>[6,7,4,3,2,5,1]
[4,3,7,2,6,1,5]=>[6,7,4,3,1,2,5]
[4,3,7,2,6,5,1]=>[5,6,4,3,7,1,2]
[4,3,7,5,1,2,6]=>[5,1,4,3,7,2,6]
[4,3,7,5,1,6,2]=>[5,7,4,3,6,2,1]
[4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]
[4,3,7,5,2,6,1]=>[6,5,4,3,7,2,1]
[4,3,7,5,6,1,2]=>[6,1,4,3,7,5,2]
[4,3,7,5,6,2,1]=>[2,6,4,3,7,5,1]
[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5]
[4,3,7,6,1,5,2]=>[6,5,4,3,1,7,2]
[4,3,7,6,2,1,5]=>[2,6,4,3,1,7,5]
[4,3,7,6,2,5,1]=>[5,6,4,3,2,7,1]
[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2]
[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]
[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]
[4,5,1,2,6,3,7]=>[5,1,6,4,2,3,7]
[4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]
[4,5,1,2,7,3,6]=>[5,1,7,4,2,3,6]
[4,5,1,2,7,6,3]=>[5,1,6,4,2,7,3]
[4,5,1,3,2,6,7]=>[5,3,1,4,2,6,7]
[4,5,1,3,2,7,6]=>[5,3,1,4,2,7,6]
[4,5,1,3,6,2,7]=>[5,6,1,4,3,2,7]
[4,5,1,3,6,7,2]=>[5,7,1,4,3,6,2]
[4,5,1,3,7,2,6]=>[5,7,1,4,3,2,6]
[4,5,1,3,7,6,2]=>[5,6,1,4,3,7,2]
[4,5,1,6,2,3,7]=>[5,6,2,4,1,3,7]
[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]
[4,5,1,6,3,2,7]=>[5,3,6,4,1,2,7]
[4,5,1,6,3,7,2]=>[5,7,6,4,1,3,2]
[4,5,1,6,7,2,3]=>[5,7,2,4,1,6,3]
[4,5,1,6,7,3,2]=>[5,3,7,4,1,6,2]
[4,5,1,7,2,3,6]=>[5,7,2,4,1,3,6]
[4,5,1,7,2,6,3]=>[5,7,6,4,1,2,3]
[4,5,1,7,3,2,6]=>[5,3,7,4,1,2,6]
[4,5,1,7,3,6,2]=>[5,6,7,4,1,3,2]
[4,5,1,7,6,2,3]=>[5,6,2,4,1,7,3]
[4,5,1,7,6,3,2]=>[5,3,6,4,1,7,2]
[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]
[4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]
[4,5,2,1,6,3,7]=>[2,5,6,4,1,3,7]
[4,5,2,1,6,7,3]=>[2,5,7,4,1,6,3]
[4,5,2,1,7,3,6]=>[2,5,7,4,1,3,6]
[4,5,2,1,7,6,3]=>[2,5,6,4,1,7,3]
[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]
[4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]
[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]
[4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]
[4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]
[4,5,2,3,7,6,1]=>[6,5,2,4,3,7,1]
[4,5,2,6,1,3,7]=>[6,5,1,4,2,3,7]
[4,5,2,6,1,7,3]=>[6,5,7,4,2,1,3]
[4,5,2,6,3,1,7]=>[3,6,5,4,1,2,7]
[4,5,2,6,3,7,1]=>[7,5,6,4,2,3,1]
[4,5,2,6,7,1,3]=>[7,5,1,4,2,6,3]
[4,5,2,6,7,3,1]=>[3,7,5,4,1,6,2]
[4,5,2,7,1,3,6]=>[7,5,1,4,2,3,6]
[4,5,2,7,1,6,3]=>[7,5,6,4,2,1,3]
[4,5,2,7,3,1,6]=>[3,7,5,4,1,2,6]
[4,5,2,7,3,6,1]=>[6,5,7,4,2,3,1]
[4,5,2,7,6,1,3]=>[6,5,1,4,2,7,3]
[4,5,2,7,6,3,1]=>[3,6,5,4,1,7,2]
[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]
[4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]
[4,5,3,1,6,2,7]=>[3,5,6,4,2,1,7]
[4,5,3,1,6,7,2]=>[3,5,7,4,2,6,1]
[4,5,3,1,7,2,6]=>[3,5,7,4,2,1,6]
[4,5,3,1,7,6,2]=>[3,5,6,4,2,7,1]
[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]
[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]
[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]
[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]
[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]
[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]
[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]
[4,5,3,6,1,7,2]=>[6,7,5,4,3,1,2]
[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]
[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]
[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]
[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]
[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]
[4,5,3,7,1,6,2]=>[7,6,5,4,3,1,2]
[4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]
[4,5,3,7,2,6,1]=>[6,7,5,4,3,2,1]
[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2]
[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]
[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]
[4,5,6,1,3,2,7]=>[6,3,1,4,5,2,7]
[4,5,6,1,3,7,2]=>[6,7,1,4,5,3,2]
[4,5,6,1,7,2,3]=>[6,7,2,4,5,1,3]
[4,5,6,1,7,3,2]=>[6,3,7,4,5,1,2]
[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]
[4,5,6,2,1,7,3]=>[2,6,7,4,5,1,3]
[4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]
[4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]
[4,5,6,2,7,1,3]=>[7,6,1,4,5,2,3]
[4,5,6,2,7,3,1]=>[3,7,6,4,5,1,2]
[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]
[4,5,6,3,1,7,2]=>[3,6,7,4,5,2,1]
[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]
[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]
[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]
[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]
[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]
[4,5,6,7,1,3,2]=>[7,3,1,4,5,6,2]
[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]
[4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1]
[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]
[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]
[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]
[4,5,7,1,2,6,3]=>[7,1,6,4,5,2,3]
[4,5,7,1,3,2,6]=>[7,3,1,4,5,2,6]
[4,5,7,1,3,6,2]=>[7,6,1,4,5,3,2]
[4,5,7,1,6,2,3]=>[7,6,2,4,5,1,3]
[4,5,7,1,6,3,2]=>[7,3,6,4,5,1,2]
[4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]
[4,5,7,2,1,6,3]=>[2,7,6,4,5,1,3]
[4,5,7,2,3,1,6]=>[3,7,2,4,5,1,6]
[4,5,7,2,3,6,1]=>[6,7,2,4,5,3,1]
[4,5,7,2,6,1,3]=>[6,7,1,4,5,2,3]
[4,5,7,2,6,3,1]=>[3,6,7,4,5,1,2]
[4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]
[4,5,7,3,1,6,2]=>[3,7,6,4,5,2,1]
[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]
[4,5,7,3,2,6,1]=>[6,3,7,4,5,2,1]
[4,5,7,3,6,1,2]=>[6,1,7,4,5,3,2]
[4,5,7,3,6,2,1]=>[2,6,7,4,5,3,1]
[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3]
[4,5,7,6,1,3,2]=>[6,3,1,4,5,7,2]
[4,5,7,6,2,1,3]=>[2,6,1,4,5,7,3]
[4,5,7,6,2,3,1]=>[3,6,2,4,5,7,1]
[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2]
[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]
[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]
[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]
[4,6,1,2,5,3,7]=>[6,1,5,4,2,3,7]
[4,6,1,2,5,7,3]=>[6,1,7,4,2,5,3]
[4,6,1,2,7,3,5]=>[6,1,7,4,3,2,5]
[4,6,1,2,7,5,3]=>[6,1,5,4,7,2,3]
[4,6,1,3,2,5,7]=>[6,3,1,4,2,5,7]
[4,6,1,3,2,7,5]=>[6,3,1,4,7,2,5]
[4,6,1,3,5,2,7]=>[6,5,1,4,3,2,7]
[4,6,1,3,5,7,2]=>[6,7,1,4,3,5,2]
[4,6,1,3,7,2,5]=>[6,7,1,4,2,3,5]
[4,6,1,3,7,5,2]=>[6,5,1,4,7,3,2]
[4,6,1,5,2,3,7]=>[6,5,2,4,1,3,7]
[4,6,1,5,2,7,3]=>[6,5,7,4,1,2,3]
[4,6,1,5,3,2,7]=>[6,3,5,4,1,2,7]
[4,6,1,5,3,7,2]=>[6,7,5,4,1,3,2]
[4,6,1,5,7,2,3]=>[6,7,2,4,1,5,3]
[4,6,1,5,7,3,2]=>[6,3,7,4,1,5,2]
[4,6,1,7,2,3,5]=>[6,7,2,4,3,1,5]
[4,6,1,7,2,5,3]=>[6,7,5,4,2,1,3]
[4,6,1,7,3,2,5]=>[6,3,7,4,2,1,5]
[4,6,1,7,3,5,2]=>[6,5,7,4,3,1,2]
[4,6,1,7,5,2,3]=>[6,5,2,4,7,1,3]
[4,6,1,7,5,3,2]=>[6,3,5,4,7,1,2]
[4,6,2,1,3,5,7]=>[2,6,1,4,3,5,7]
[4,6,2,1,3,7,5]=>[2,6,1,4,7,3,5]
[4,6,2,1,5,3,7]=>[2,6,5,4,1,3,7]
[4,6,2,1,5,7,3]=>[2,6,7,4,1,5,3]
[4,6,2,1,7,3,5]=>[2,6,7,4,3,1,5]
[4,6,2,1,7,5,3]=>[2,6,5,4,7,1,3]
[4,6,2,3,1,5,7]=>[3,6,2,4,1,5,7]
[4,6,2,3,1,7,5]=>[3,6,2,4,7,1,5]
[4,6,2,3,5,1,7]=>[5,6,2,4,3,1,7]
[4,6,2,3,5,7,1]=>[7,6,2,4,3,5,1]
[4,6,2,3,7,1,5]=>[7,6,2,4,1,3,5]
[4,6,2,3,7,5,1]=>[5,7,1,4,6,3,2]
[4,6,2,5,1,3,7]=>[5,6,1,4,2,3,7]
[4,6,2,5,1,7,3]=>[5,6,7,4,2,1,3]
[4,6,2,5,3,1,7]=>[3,5,6,4,1,2,7]
[4,6,2,5,3,7,1]=>[7,6,5,4,2,3,1]
[4,6,2,5,7,1,3]=>[7,6,1,4,2,5,3]
[4,6,2,5,7,3,1]=>[3,7,6,4,1,5,2]
[4,6,2,7,1,3,5]=>[7,6,1,4,3,2,5]
[4,6,2,7,1,5,3]=>[7,6,5,4,1,2,3]
[4,6,2,7,3,1,5]=>[3,7,6,4,2,1,5]
[4,6,2,7,3,5,1]=>[5,6,7,4,3,2,1]
[4,6,2,7,5,1,3]=>[5,7,2,4,6,1,3]
[4,6,2,7,5,3,1]=>[3,5,7,4,6,2,1]
[4,6,3,1,2,5,7]=>[3,1,6,4,2,5,7]
[4,6,3,1,2,7,5]=>[3,1,6,4,7,2,5]
[4,6,3,1,5,2,7]=>[3,6,5,4,2,1,7]
[4,6,3,1,5,7,2]=>[3,6,7,4,2,5,1]
[4,6,3,1,7,2,5]=>[3,6,7,4,1,2,5]
[4,6,3,1,7,5,2]=>[3,6,5,4,7,2,1]
[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]
[4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5]
[4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]
[4,6,3,2,5,7,1]=>[7,3,6,4,2,5,1]
[4,6,3,2,7,1,5]=>[7,3,6,4,1,2,5]
[4,6,3,2,7,5,1]=>[5,3,7,4,6,1,2]
[4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]
[4,6,3,5,1,7,2]=>[5,7,6,4,3,1,2]
[4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]
[4,6,3,5,2,7,1]=>[7,5,6,4,3,2,1]
[4,6,3,5,7,1,2]=>[7,1,6,4,3,5,2]
[4,6,3,5,7,2,1]=>[2,7,6,4,3,5,1]
[4,6,3,7,1,2,5]=>[7,1,6,4,2,3,5]
[4,6,3,7,1,5,2]=>[7,5,6,4,1,3,2]
[4,6,3,7,2,1,5]=>[2,7,6,4,1,3,5]
[4,6,3,7,2,5,1]=>[5,7,6,4,2,3,1]
[4,6,3,7,5,1,2]=>[5,1,7,4,6,2,3]
[4,6,3,7,5,2,1]=>[2,5,7,4,6,1,3]
[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7]
[4,6,5,1,2,7,3]=>[5,1,6,4,7,3,2]
[4,6,5,1,3,2,7]=>[5,3,1,4,6,2,7]
[4,6,5,1,3,7,2]=>[5,6,2,4,7,3,1]
[4,6,5,1,7,2,3]=>[5,6,1,4,7,2,3]
[4,6,5,1,7,3,2]=>[5,3,6,4,7,2,1]
[4,6,5,2,1,3,7]=>[2,5,1,4,6,3,7]
[4,6,5,2,1,7,3]=>[2,5,6,4,7,3,1]
[4,6,5,2,3,1,7]=>[3,5,2,4,6,1,7]
[4,6,5,2,3,7,1]=>[7,5,2,4,6,3,1]
[4,6,5,2,7,1,3]=>[7,5,1,4,6,2,3]
[4,6,5,2,7,3,1]=>[3,7,5,4,6,1,2]
[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7]
[4,6,5,3,1,7,2]=>[3,5,6,4,7,1,2]
[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]
[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]
[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2]
[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]
[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3]
[4,6,5,7,1,3,2]=>[7,3,1,4,6,5,2]
[4,6,5,7,2,1,3]=>[2,7,1,4,6,5,3]
[4,6,5,7,2,3,1]=>[3,7,2,4,6,5,1]
[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2]
[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]
[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]
[4,6,7,1,2,5,3]=>[7,1,5,4,2,6,3]
[4,6,7,1,3,2,5]=>[7,3,1,4,2,6,5]
[4,6,7,1,3,5,2]=>[7,5,1,4,3,6,2]
[4,6,7,1,5,2,3]=>[7,5,2,4,1,6,3]
[4,6,7,1,5,3,2]=>[7,3,5,4,1,6,2]
[4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]
[4,6,7,2,1,5,3]=>[2,7,5,4,1,6,3]
[4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]
[4,6,7,2,3,5,1]=>[5,7,2,4,3,6,1]
[4,6,7,2,5,1,3]=>[5,7,1,4,2,6,3]
[4,6,7,2,5,3,1]=>[3,5,7,4,1,6,2]
[4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]
[4,6,7,3,1,5,2]=>[3,7,5,4,2,6,1]
[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]
[4,6,7,3,2,5,1]=>[5,3,7,4,2,6,1]
[4,6,7,3,5,1,2]=>[5,1,7,4,3,6,2]
[4,6,7,3,5,2,1]=>[2,5,7,4,3,6,1]
[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3]
[4,6,7,5,1,3,2]=>[5,3,1,4,7,6,2]
[4,6,7,5,2,1,3]=>[2,5,1,4,7,6,3]
[4,6,7,5,2,3,1]=>[3,5,2,4,7,6,1]
[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2]
[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]
[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]
[4,7,1,2,3,6,5]=>[7,1,2,4,6,3,5]
[4,7,1,2,5,3,6]=>[7,1,5,4,2,3,6]
[4,7,1,2,5,6,3]=>[7,1,6,4,2,5,3]
[4,7,1,2,6,3,5]=>[7,1,6,4,3,2,5]
[4,7,1,2,6,5,3]=>[7,1,5,4,6,2,3]
[4,7,1,3,2,5,6]=>[7,3,1,4,2,5,6]
[4,7,1,3,2,6,5]=>[7,3,1,4,6,2,5]
[4,7,1,3,5,2,6]=>[7,5,1,4,3,2,6]
[4,7,1,3,5,6,2]=>[7,6,1,4,3,5,2]
[4,7,1,3,6,2,5]=>[7,6,1,4,2,3,5]
[4,7,1,3,6,5,2]=>[7,5,1,4,6,3,2]
[4,7,1,5,2,3,6]=>[7,5,2,4,1,3,6]
[4,7,1,5,2,6,3]=>[7,5,6,4,1,2,3]
[4,7,1,5,3,2,6]=>[7,3,5,4,1,2,6]
[4,7,1,5,3,6,2]=>[7,6,5,4,1,3,2]
[4,7,1,5,6,2,3]=>[7,6,2,4,1,5,3]
[4,7,1,5,6,3,2]=>[7,3,6,4,1,5,2]
[4,7,1,6,2,3,5]=>[7,6,2,4,3,1,5]
[4,7,1,6,2,5,3]=>[7,6,5,4,2,1,3]
[4,7,1,6,3,2,5]=>[7,3,6,4,2,1,5]
[4,7,1,6,3,5,2]=>[7,5,6,4,3,1,2]
[4,7,1,6,5,2,3]=>[7,5,2,4,6,1,3]
[4,7,1,6,5,3,2]=>[7,3,5,4,6,1,2]
[4,7,2,1,3,5,6]=>[2,7,1,4,3,5,6]
[4,7,2,1,3,6,5]=>[2,7,1,4,6,3,5]
[4,7,2,1,5,3,6]=>[2,7,5,4,1,3,6]
[4,7,2,1,5,6,3]=>[2,7,6,4,1,5,3]
[4,7,2,1,6,3,5]=>[2,7,6,4,3,1,5]
[4,7,2,1,6,5,3]=>[2,7,5,4,6,1,3]
[4,7,2,3,1,5,6]=>[3,7,2,4,1,5,6]
[4,7,2,3,1,6,5]=>[3,7,2,4,6,1,5]
[4,7,2,3,5,1,6]=>[5,7,2,4,3,1,6]
[4,7,2,3,5,6,1]=>[6,7,2,4,3,5,1]
[4,7,2,3,6,1,5]=>[6,7,2,4,1,3,5]
[4,7,2,3,6,5,1]=>[5,6,1,4,7,3,2]
[4,7,2,5,1,3,6]=>[5,7,1,4,2,3,6]
[4,7,2,5,1,6,3]=>[5,7,6,4,2,1,3]
[4,7,2,5,3,1,6]=>[3,5,7,4,1,2,6]
[4,7,2,5,3,6,1]=>[6,7,5,4,2,3,1]
[4,7,2,5,6,1,3]=>[6,7,1,4,2,5,3]
[4,7,2,5,6,3,1]=>[3,6,7,4,1,5,2]
[4,7,2,6,1,3,5]=>[6,7,1,4,3,2,5]
[4,7,2,6,1,5,3]=>[6,7,5,4,1,2,3]
[4,7,2,6,3,1,5]=>[3,6,7,4,2,1,5]
[4,7,2,6,3,5,1]=>[5,7,6,4,3,2,1]
[4,7,2,6,5,1,3]=>[5,6,2,4,7,1,3]
[4,7,2,6,5,3,1]=>[3,5,6,4,7,2,1]
[4,7,3,1,2,5,6]=>[3,1,7,4,2,5,6]
[4,7,3,1,2,6,5]=>[3,1,7,4,6,2,5]
[4,7,3,1,5,2,6]=>[3,7,5,4,2,1,6]
[4,7,3,1,5,6,2]=>[3,7,6,4,2,5,1]
[4,7,3,1,6,2,5]=>[3,7,6,4,1,2,5]
[4,7,3,1,6,5,2]=>[3,7,5,4,6,2,1]
[4,7,3,2,1,5,6]=>[2,3,7,4,1,5,6]
[4,7,3,2,1,6,5]=>[2,3,7,4,6,1,5]
[4,7,3,2,5,1,6]=>[5,3,7,4,2,1,6]
[4,7,3,2,5,6,1]=>[6,3,7,4,2,5,1]
[4,7,3,2,6,1,5]=>[6,3,7,4,1,2,5]
[4,7,3,2,6,5,1]=>[5,3,6,4,7,1,2]
[4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]
[4,7,3,5,1,6,2]=>[5,6,7,4,3,1,2]
[4,7,3,5,2,1,6]=>[2,5,7,4,3,1,6]
[4,7,3,5,2,6,1]=>[6,5,7,4,3,2,1]
[4,7,3,5,6,1,2]=>[6,1,7,4,3,5,2]
[4,7,3,5,6,2,1]=>[2,6,7,4,3,5,1]
[4,7,3,6,1,2,5]=>[6,1,7,4,2,3,5]
[4,7,3,6,1,5,2]=>[6,5,7,4,1,3,2]
[4,7,3,6,2,1,5]=>[2,6,7,4,1,3,5]
[4,7,3,6,2,5,1]=>[5,6,7,4,2,3,1]
[4,7,3,6,5,1,2]=>[5,1,6,4,7,2,3]
[4,7,3,6,5,2,1]=>[2,5,6,4,7,1,3]
[4,7,5,1,2,3,6]=>[5,1,2,4,7,3,6]
[4,7,5,1,2,6,3]=>[5,1,7,4,6,3,2]
[4,7,5,1,3,2,6]=>[5,3,1,4,7,2,6]
[4,7,5,1,3,6,2]=>[5,7,2,4,6,3,1]
[4,7,5,1,6,2,3]=>[5,7,1,4,6,2,3]
[4,7,5,1,6,3,2]=>[5,3,7,4,6,2,1]
[4,7,5,2,1,3,6]=>[2,5,1,4,7,3,6]
[4,7,5,2,1,6,3]=>[2,5,7,4,6,3,1]
[4,7,5,2,3,1,6]=>[3,5,2,4,7,1,6]
[4,7,5,2,3,6,1]=>[6,5,2,4,7,3,1]
[4,7,5,2,6,1,3]=>[6,5,1,4,7,2,3]
[4,7,5,2,6,3,1]=>[3,6,5,4,7,1,2]
[4,7,5,3,1,2,6]=>[3,1,5,4,7,2,6]
[4,7,5,3,1,6,2]=>[3,5,7,4,6,1,2]
[4,7,5,3,2,1,6]=>[2,3,5,4,7,1,6]
[4,7,5,3,2,6,1]=>[6,3,5,4,7,2,1]
[4,7,5,3,6,1,2]=>[6,1,5,4,7,3,2]
[4,7,5,3,6,2,1]=>[2,6,5,4,7,3,1]
[4,7,5,6,1,2,3]=>[6,1,2,4,7,5,3]
[4,7,5,6,1,3,2]=>[6,3,1,4,7,5,2]
[4,7,5,6,2,1,3]=>[2,6,1,4,7,5,3]
[4,7,5,6,2,3,1]=>[3,6,2,4,7,5,1]
[4,7,5,6,3,1,2]=>[3,1,6,4,7,5,2]
[4,7,5,6,3,2,1]=>[2,3,6,4,7,5,1]
[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5]
[4,7,6,1,2,5,3]=>[6,1,5,4,2,7,3]
[4,7,6,1,3,2,5]=>[6,3,1,4,2,7,5]
[4,7,6,1,3,5,2]=>[6,5,1,4,3,7,2]
[4,7,6,1,5,2,3]=>[6,5,2,4,1,7,3]
[4,7,6,1,5,3,2]=>[6,3,5,4,1,7,2]
[4,7,6,2,1,3,5]=>[2,6,1,4,3,7,5]
[4,7,6,2,1,5,3]=>[2,6,5,4,1,7,3]
[4,7,6,2,3,1,5]=>[3,6,2,4,1,7,5]
[4,7,6,2,3,5,1]=>[5,6,2,4,3,7,1]
[4,7,6,2,5,1,3]=>[5,6,1,4,2,7,3]
[4,7,6,2,5,3,1]=>[3,5,6,4,1,7,2]
[4,7,6,3,1,2,5]=>[3,1,6,4,2,7,5]
[4,7,6,3,1,5,2]=>[3,6,5,4,2,7,1]
[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]
[4,7,6,3,2,5,1]=>[5,3,6,4,2,7,1]
[4,7,6,3,5,1,2]=>[5,1,6,4,3,7,2]
[4,7,6,3,5,2,1]=>[2,5,6,4,3,7,1]
[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3]
[4,7,6,5,1,3,2]=>[5,3,1,4,6,7,2]
[4,7,6,5,2,1,3]=>[2,5,1,4,6,7,3]
[4,7,6,5,2,3,1]=>[3,5,2,4,6,7,1]
[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2]
[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]
[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]
[5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]
[5,1,2,3,7,4,6]=>[5,1,2,7,3,4,6]
[5,1,2,3,7,6,4]=>[5,1,2,6,3,7,4]
[5,1,2,4,3,6,7]=>[5,1,4,2,3,6,7]
[5,1,2,4,3,7,6]=>[5,1,4,2,3,7,6]
[5,1,2,4,6,3,7]=>[5,1,6,2,4,3,7]
[5,1,2,4,6,7,3]=>[5,1,7,2,4,6,3]
[5,1,2,4,7,3,6]=>[5,1,7,2,4,3,6]
[5,1,2,4,7,6,3]=>[5,1,6,2,4,7,3]
[5,1,2,6,3,4,7]=>[5,1,6,3,2,4,7]
[5,1,2,6,3,7,4]=>[5,1,6,7,2,3,4]
[5,1,2,6,4,3,7]=>[5,1,4,6,2,3,7]
[5,1,2,6,4,7,3]=>[5,1,7,6,2,4,3]
[5,1,2,6,7,3,4]=>[5,1,7,3,2,6,4]
[5,1,2,6,7,4,3]=>[5,1,4,7,2,6,3]
[5,1,2,7,3,4,6]=>[5,1,7,3,2,4,6]
[5,1,2,7,3,6,4]=>[5,1,7,6,2,3,4]
[5,1,2,7,4,3,6]=>[5,1,4,7,2,3,6]
[5,1,2,7,4,6,3]=>[5,1,6,7,2,4,3]
[5,1,2,7,6,3,4]=>[5,1,6,3,2,7,4]
[5,1,2,7,6,4,3]=>[5,1,4,6,2,7,3]
[5,1,3,2,4,6,7]=>[5,3,1,2,4,6,7]
[5,1,3,2,4,7,6]=>[5,3,1,2,4,7,6]
[5,1,3,2,6,4,7]=>[5,3,1,6,2,4,7]
[5,1,3,2,6,7,4]=>[5,3,1,7,2,6,4]
[5,1,3,2,7,4,6]=>[5,3,1,7,2,4,6]
[5,1,3,2,7,6,4]=>[5,3,1,6,2,7,4]
[5,1,3,4,2,6,7]=>[5,4,1,3,2,6,7]
[5,1,3,4,2,7,6]=>[5,4,1,3,2,7,6]
[5,1,3,4,6,2,7]=>[5,6,1,3,4,2,7]
[5,1,3,4,6,7,2]=>[5,7,1,3,4,6,2]
[5,1,3,4,7,2,6]=>[5,7,1,3,4,2,6]
[5,1,3,4,7,6,2]=>[5,6,1,3,4,7,2]
[5,1,3,6,2,4,7]=>[5,6,1,2,3,4,7]
[5,1,3,6,2,7,4]=>[5,6,1,7,3,2,4]
[5,1,3,6,4,2,7]=>[5,4,1,6,3,2,7]
[5,1,3,6,4,7,2]=>[5,7,1,6,3,4,2]
[5,1,3,6,7,2,4]=>[5,7,1,2,3,6,4]
[5,1,3,6,7,4,2]=>[5,4,1,7,3,6,2]
[5,1,3,7,2,4,6]=>[5,7,1,2,3,4,6]
[5,1,3,7,2,6,4]=>[5,7,1,6,3,2,4]
[5,1,3,7,4,2,6]=>[5,4,1,7,3,2,6]
[5,1,3,7,4,6,2]=>[5,6,1,7,3,4,2]
[5,1,3,7,6,2,4]=>[5,6,1,2,3,7,4]
[5,1,3,7,6,4,2]=>[5,4,1,6,3,7,2]
[5,1,4,2,3,6,7]=>[5,4,2,1,3,6,7]
[5,1,4,2,3,7,6]=>[5,4,2,1,3,7,6]
[5,1,4,2,6,3,7]=>[5,4,6,1,2,3,7]
[5,1,4,2,6,7,3]=>[5,4,7,1,2,6,3]
[5,1,4,2,7,3,6]=>[5,4,7,1,2,3,6]
[5,1,4,2,7,6,3]=>[5,4,6,1,2,7,3]
[5,1,4,3,2,6,7]=>[5,3,4,1,2,6,7]
[5,1,4,3,2,7,6]=>[5,3,4,1,2,7,6]
[5,1,4,3,6,2,7]=>[5,6,4,1,3,2,7]
[5,1,4,3,6,7,2]=>[5,7,4,1,3,6,2]
[5,1,4,3,7,2,6]=>[5,7,4,1,3,2,6]
[5,1,4,3,7,6,2]=>[5,6,4,1,3,7,2]
[5,1,4,6,2,3,7]=>[5,6,2,1,4,3,7]
[5,1,4,6,2,7,3]=>[5,6,7,1,4,2,3]
[5,1,4,6,3,2,7]=>[5,3,6,1,4,2,7]
[5,1,4,6,3,7,2]=>[5,7,6,1,4,3,2]
[5,1,4,6,7,2,3]=>[5,7,2,1,4,6,3]
[5,1,4,6,7,3,2]=>[5,3,7,1,4,6,2]
[5,1,4,7,2,3,6]=>[5,7,2,1,4,3,6]
[5,1,4,7,2,6,3]=>[5,7,6,1,4,2,3]
[5,1,4,7,3,2,6]=>[5,3,7,1,4,2,6]
[5,1,4,7,3,6,2]=>[5,6,7,1,4,3,2]
[5,1,4,7,6,2,3]=>[5,6,2,1,4,7,3]
[5,1,4,7,6,3,2]=>[5,3,6,1,4,7,2]
[5,1,6,2,3,4,7]=>[5,6,2,3,1,4,7]
[5,1,6,2,3,7,4]=>[5,6,2,7,1,3,4]
[5,1,6,2,4,3,7]=>[5,6,4,2,1,3,7]
[5,1,6,2,4,7,3]=>[5,6,7,2,1,4,3]
[5,1,6,2,7,3,4]=>[5,6,7,3,1,2,4]
[5,1,6,2,7,4,3]=>[5,6,4,7,1,2,3]
[5,1,6,3,2,4,7]=>[5,3,6,2,1,4,7]
[5,1,6,3,2,7,4]=>[5,3,6,7,1,2,4]
[5,1,6,3,4,2,7]=>[5,4,6,3,1,2,7]
[5,1,6,3,4,7,2]=>[5,7,6,3,1,4,2]
[5,1,6,3,7,2,4]=>[5,7,6,2,1,3,4]
[5,1,6,3,7,4,2]=>[5,4,7,6,1,2,3]
[5,1,6,4,2,3,7]=>[5,4,2,6,1,3,7]
[5,1,6,4,2,7,3]=>[5,4,6,7,1,3,2]
[5,1,6,4,3,2,7]=>[5,3,4,6,1,2,7]
[5,1,6,4,3,7,2]=>[5,7,4,6,1,3,2]
[5,1,6,4,7,2,3]=>[5,7,2,6,1,4,3]
[5,1,6,4,7,3,2]=>[5,3,7,6,1,4,2]
[5,1,6,7,2,3,4]=>[5,7,2,3,1,6,4]
[5,1,6,7,2,4,3]=>[5,7,4,2,1,6,3]
[5,1,6,7,3,2,4]=>[5,3,7,2,1,6,4]
[5,1,6,7,3,4,2]=>[5,4,7,3,1,6,2]
[5,1,6,7,4,2,3]=>[5,4,2,7,1,6,3]
[5,1,6,7,4,3,2]=>[5,3,4,7,1,6,2]
[5,1,7,2,3,4,6]=>[5,7,2,3,1,4,6]
[5,1,7,2,3,6,4]=>[5,7,2,6,1,3,4]
[5,1,7,2,4,3,6]=>[5,7,4,2,1,3,6]
[5,1,7,2,4,6,3]=>[5,7,6,2,1,4,3]
[5,1,7,2,6,3,4]=>[5,7,6,3,1,2,4]
[5,1,7,2,6,4,3]=>[5,7,4,6,1,2,3]
[5,1,7,3,2,4,6]=>[5,3,7,2,1,4,6]
[5,1,7,3,2,6,4]=>[5,3,7,6,1,2,4]
[5,1,7,3,4,2,6]=>[5,4,7,3,1,2,6]
[5,1,7,3,4,6,2]=>[5,6,7,3,1,4,2]
[5,1,7,3,6,2,4]=>[5,6,7,2,1,3,4]
[5,1,7,3,6,4,2]=>[5,4,6,7,1,2,3]
[5,1,7,4,2,3,6]=>[5,4,2,7,1,3,6]
[5,1,7,4,2,6,3]=>[5,4,7,6,1,3,2]
[5,1,7,4,3,2,6]=>[5,3,4,7,1,2,6]
[5,1,7,4,3,6,2]=>[5,6,4,7,1,3,2]
[5,1,7,4,6,2,3]=>[5,6,2,7,1,4,3]
[5,1,7,4,6,3,2]=>[5,3,6,7,1,4,2]
[5,1,7,6,2,3,4]=>[5,6,2,3,1,7,4]
[5,1,7,6,2,4,3]=>[5,6,4,2,1,7,3]
[5,1,7,6,3,2,4]=>[5,3,6,2,1,7,4]
[5,1,7,6,3,4,2]=>[5,4,6,3,1,7,2]
[5,1,7,6,4,2,3]=>[5,4,2,6,1,7,3]
[5,1,7,6,4,3,2]=>[5,3,4,6,1,7,2]
[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]
[5,2,1,3,6,4,7]=>[2,5,1,6,3,4,7]
[5,2,1,3,6,7,4]=>[2,5,1,7,3,6,4]
[5,2,1,3,7,4,6]=>[2,5,1,7,3,4,6]
[5,2,1,3,7,6,4]=>[2,5,1,6,3,7,4]
[5,2,1,4,3,6,7]=>[2,5,4,1,3,6,7]
[5,2,1,4,3,7,6]=>[2,5,4,1,3,7,6]
[5,2,1,4,6,3,7]=>[2,5,6,1,4,3,7]
[5,2,1,4,6,7,3]=>[2,5,7,1,4,6,3]
[5,2,1,4,7,3,6]=>[2,5,7,1,4,3,6]
[5,2,1,4,7,6,3]=>[2,5,6,1,4,7,3]
[5,2,1,6,3,4,7]=>[2,5,6,3,1,4,7]
[5,2,1,6,3,7,4]=>[2,5,6,7,1,3,4]
[5,2,1,6,4,3,7]=>[2,5,4,6,1,3,7]
[5,2,1,6,4,7,3]=>[2,5,7,6,1,4,3]
[5,2,1,6,7,3,4]=>[2,5,7,3,1,6,4]
[5,2,1,6,7,4,3]=>[2,5,4,7,1,6,3]
[5,2,1,7,3,4,6]=>[2,5,7,3,1,4,6]
[5,2,1,7,3,6,4]=>[2,5,7,6,1,3,4]
[5,2,1,7,4,3,6]=>[2,5,4,7,1,3,6]
[5,2,1,7,4,6,3]=>[2,5,6,7,1,4,3]
[5,2,1,7,6,3,4]=>[2,5,6,3,1,7,4]
[5,2,1,7,6,4,3]=>[2,5,4,6,1,7,3]
[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]
[5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]
[5,2,3,1,6,4,7]=>[3,5,2,6,1,4,7]
[5,2,3,1,6,7,4]=>[3,5,2,7,1,6,4]
[5,2,3,1,7,4,6]=>[3,5,2,7,1,4,6]
[5,2,3,1,7,6,4]=>[3,5,2,6,1,7,4]
[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]
[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]
[5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]
[5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]
[5,2,3,4,7,6,1]=>[6,5,2,3,4,7,1]
[5,2,3,6,1,4,7]=>[6,5,2,1,3,4,7]
[5,2,3,6,1,7,4]=>[6,5,2,7,3,1,4]
[5,2,3,6,4,1,7]=>[4,6,1,5,3,2,7]
[5,2,3,6,4,7,1]=>[7,5,2,6,3,4,1]
[5,2,3,6,7,1,4]=>[7,5,2,1,3,6,4]
[5,2,3,6,7,4,1]=>[4,7,1,5,3,6,2]
[5,2,3,7,1,4,6]=>[7,5,2,1,3,4,6]
[5,2,3,7,1,6,4]=>[7,5,2,6,3,1,4]
[5,2,3,7,4,1,6]=>[4,7,1,5,3,2,6]
[5,2,3,7,4,6,1]=>[6,5,2,7,3,4,1]
[5,2,3,7,6,1,4]=>[6,5,2,1,3,7,4]
[5,2,3,7,6,4,1]=>[4,6,1,5,3,7,2]
[5,2,4,1,3,6,7]=>[4,5,1,2,3,6,7]
[5,2,4,1,3,7,6]=>[4,5,1,2,3,7,6]
[5,2,4,1,6,3,7]=>[4,5,6,2,1,3,7]
[5,2,4,1,6,7,3]=>[4,5,7,2,1,6,3]
[5,2,4,1,7,3,6]=>[4,5,7,2,1,3,6]
[5,2,4,1,7,6,3]=>[4,5,6,2,1,7,3]
[5,2,4,3,1,6,7]=>[3,4,5,1,2,6,7]
[5,2,4,3,1,7,6]=>[3,4,5,1,2,7,6]
[5,2,4,3,6,1,7]=>[6,5,4,2,3,1,7]
[5,2,4,3,6,7,1]=>[7,5,4,2,3,6,1]
[5,2,4,3,7,1,6]=>[7,5,4,2,3,1,6]
[5,2,4,3,7,6,1]=>[6,5,4,2,3,7,1]
[5,2,4,6,1,3,7]=>[6,5,1,2,4,3,7]
[5,2,4,6,1,7,3]=>[6,5,7,2,4,1,3]
[5,2,4,6,3,1,7]=>[3,6,5,1,4,2,7]
[5,2,4,6,3,7,1]=>[7,5,6,2,4,3,1]
[5,2,4,6,7,1,3]=>[7,5,1,2,4,6,3]
[5,2,4,6,7,3,1]=>[3,7,5,1,4,6,2]
[5,2,4,7,1,3,6]=>[7,5,1,2,4,3,6]
[5,2,4,7,1,6,3]=>[7,5,6,2,4,1,3]
[5,2,4,7,3,1,6]=>[3,7,5,1,4,2,6]
[5,2,4,7,3,6,1]=>[6,5,7,2,4,3,1]
[5,2,4,7,6,1,3]=>[6,5,1,2,4,7,3]
[5,2,4,7,6,3,1]=>[3,6,5,1,4,7,2]
[5,2,6,1,3,4,7]=>[6,5,1,3,2,4,7]
[5,2,6,1,3,7,4]=>[6,5,1,7,2,3,4]
[5,2,6,1,4,3,7]=>[6,5,4,1,2,3,7]
[5,2,6,1,4,7,3]=>[6,5,7,1,2,4,3]
[5,2,6,1,7,3,4]=>[6,5,7,3,2,1,4]
[5,2,6,1,7,4,3]=>[6,5,4,7,2,1,3]
[5,2,6,3,1,4,7]=>[3,6,5,2,1,4,7]
[5,2,6,3,1,7,4]=>[3,6,5,7,1,2,4]
[5,2,6,3,4,1,7]=>[4,5,6,3,2,1,7]
[5,2,6,3,4,7,1]=>[7,5,6,3,2,4,1]
[5,2,6,3,7,1,4]=>[7,5,6,1,2,3,4]
[5,2,6,3,7,4,1]=>[4,7,5,6,3,1,2]
[5,2,6,4,1,3,7]=>[4,6,2,5,1,3,7]
[5,2,6,4,1,7,3]=>[4,6,5,7,3,2,1]
[5,2,6,4,3,1,7]=>[3,4,6,5,2,1,7]
[5,2,6,4,3,7,1]=>[7,5,4,6,2,3,1]
[5,2,6,4,7,1,3]=>[7,5,1,6,2,4,3]
[5,2,6,4,7,3,1]=>[3,7,5,6,1,4,2]
[5,2,6,7,1,3,4]=>[7,5,1,3,2,6,4]
[5,2,6,7,1,4,3]=>[7,5,4,1,2,6,3]
[5,2,6,7,3,1,4]=>[3,7,5,2,1,6,4]
[5,2,6,7,3,4,1]=>[4,5,7,3,2,6,1]
[5,2,6,7,4,1,3]=>[4,7,2,5,1,6,3]
[5,2,6,7,4,3,1]=>[3,4,7,5,2,6,1]
[5,2,7,1,3,4,6]=>[7,5,1,3,2,4,6]
[5,2,7,1,3,6,4]=>[7,5,1,6,2,3,4]
[5,2,7,1,4,3,6]=>[7,5,4,1,2,3,6]
[5,2,7,1,4,6,3]=>[7,5,6,1,2,4,3]
[5,2,7,1,6,3,4]=>[7,5,6,3,2,1,4]
[5,2,7,1,6,4,3]=>[7,5,4,6,2,1,3]
[5,2,7,3,1,4,6]=>[3,7,5,2,1,4,6]
[5,2,7,3,1,6,4]=>[3,7,5,6,1,2,4]
[5,2,7,3,4,1,6]=>[4,5,7,3,2,1,6]
[5,2,7,3,4,6,1]=>[6,5,7,3,2,4,1]
[5,2,7,3,6,1,4]=>[6,5,7,1,2,3,4]
[5,2,7,3,6,4,1]=>[4,6,5,7,3,1,2]
[5,2,7,4,1,3,6]=>[4,7,2,5,1,3,6]
[5,2,7,4,1,6,3]=>[4,7,5,6,3,2,1]
[5,2,7,4,3,1,6]=>[3,4,7,5,2,1,6]
[5,2,7,4,3,6,1]=>[6,5,4,7,2,3,1]
[5,2,7,4,6,1,3]=>[6,5,1,7,2,4,3]
[5,2,7,4,6,3,1]=>[3,6,5,7,1,4,2]
[5,2,7,6,1,3,4]=>[6,5,1,3,2,7,4]
[5,2,7,6,1,4,3]=>[6,5,4,1,2,7,3]
[5,2,7,6,3,1,4]=>[3,6,5,2,1,7,4]
[5,2,7,6,3,4,1]=>[4,5,6,3,2,7,1]
[5,2,7,6,4,1,3]=>[4,6,2,5,1,7,3]
[5,2,7,6,4,3,1]=>[3,4,6,5,2,7,1]
[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]
[5,3,1,2,6,4,7]=>[3,1,5,6,2,4,7]
[5,3,1,2,6,7,4]=>[3,1,5,7,2,6,4]
[5,3,1,2,7,4,6]=>[3,1,5,7,2,4,6]
[5,3,1,2,7,6,4]=>[3,1,5,6,2,7,4]
[5,3,1,4,2,6,7]=>[3,5,4,2,1,6,7]
[5,3,1,4,2,7,6]=>[3,5,4,2,1,7,6]
[5,3,1,4,6,2,7]=>[3,5,6,2,4,1,7]
[5,3,1,4,6,7,2]=>[3,5,7,2,4,6,1]
[5,3,1,4,7,2,6]=>[3,5,7,2,4,1,6]
[5,3,1,4,7,6,2]=>[3,5,6,2,4,7,1]
[5,3,1,6,2,4,7]=>[3,5,6,1,2,4,7]
[5,3,1,6,2,7,4]=>[3,5,6,7,2,1,4]
[5,3,1,6,4,2,7]=>[3,5,4,6,2,1,7]
[5,3,1,6,4,7,2]=>[3,5,7,6,2,4,1]
[5,3,1,6,7,2,4]=>[3,5,7,1,2,6,4]
[5,3,1,6,7,4,2]=>[3,5,4,7,2,6,1]
[5,3,1,7,2,4,6]=>[3,5,7,1,2,4,6]
[5,3,1,7,2,6,4]=>[3,5,7,6,2,1,4]
[5,3,1,7,4,2,6]=>[3,5,4,7,2,1,6]
[5,3,1,7,4,6,2]=>[3,5,6,7,2,4,1]
[5,3,1,7,6,2,4]=>[3,5,6,1,2,7,4]
[5,3,1,7,6,4,2]=>[3,5,4,6,2,7,1]
[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]
[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]
[5,3,2,1,6,4,7]=>[2,3,5,6,1,4,7]
[5,3,2,1,6,7,4]=>[2,3,5,7,1,6,4]
[5,3,2,1,7,4,6]=>[2,3,5,7,1,4,6]
[5,3,2,1,7,6,4]=>[2,3,5,6,1,7,4]
[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]
[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]
[5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]
[5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]
[5,3,2,4,7,6,1]=>[6,3,5,2,4,7,1]
[5,3,2,6,1,4,7]=>[6,3,5,1,2,4,7]
[5,3,2,6,1,7,4]=>[6,3,5,7,2,1,4]
[5,3,2,6,4,1,7]=>[4,3,6,5,1,2,7]
[5,3,2,6,4,7,1]=>[7,3,5,6,2,4,1]
[5,3,2,6,7,1,4]=>[7,3,5,1,2,6,4]
[5,3,2,6,7,4,1]=>[4,3,7,5,1,6,2]
[5,3,2,7,1,4,6]=>[7,3,5,1,2,4,6]
[5,3,2,7,1,6,4]=>[7,3,5,6,2,1,4]
[5,3,2,7,4,1,6]=>[4,3,7,5,1,2,6]
[5,3,2,7,4,6,1]=>[6,3,5,7,2,4,1]
[5,3,2,7,6,1,4]=>[6,3,5,1,2,7,4]
[5,3,2,7,6,4,1]=>[4,3,6,5,1,7,2]
[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]
[5,3,4,1,6,2,7]=>[4,6,5,3,1,2,7]
[5,3,4,1,6,7,2]=>[4,7,5,3,1,6,2]
[5,3,4,1,7,2,6]=>[4,7,5,3,1,2,6]
[5,3,4,1,7,6,2]=>[4,6,5,3,1,7,2]
[5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]
[5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]
[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]
[5,3,4,2,6,7,1]=>[7,4,5,3,2,6,1]
[5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]
[5,3,4,2,7,6,1]=>[6,4,5,3,2,7,1]
[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]
[5,3,4,6,1,7,2]=>[6,7,5,3,4,1,2]
[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]
[5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]
[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]
[5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]
[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]
[5,3,4,7,1,6,2]=>[7,6,5,3,4,1,2]
[5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]
[5,3,4,7,2,6,1]=>[6,7,5,3,4,2,1]
[5,3,4,7,6,1,2]=>[6,1,5,3,4,7,2]
[5,3,4,7,6,2,1]=>[2,6,5,3,4,7,1]
[5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]
[5,3,6,1,2,7,4]=>[6,1,5,7,3,2,4]
[5,3,6,1,4,2,7]=>[6,4,5,1,3,2,7]
[5,3,6,1,4,7,2]=>[6,7,5,1,3,4,2]
[5,3,6,1,7,2,4]=>[6,7,5,2,3,1,4]
[5,3,6,1,7,4,2]=>[6,4,7,5,2,1,3]
[5,3,6,2,1,4,7]=>[2,6,5,1,3,4,7]
[5,3,6,2,1,7,4]=>[2,6,5,7,3,1,4]
[5,3,6,2,4,1,7]=>[4,6,5,2,3,1,7]
[5,3,6,2,4,7,1]=>[7,6,5,2,3,4,1]
[5,3,6,2,7,1,4]=>[7,6,5,1,3,2,4]
[5,3,6,2,7,4,1]=>[4,7,6,5,1,3,2]
[5,3,6,4,1,2,7]=>[4,1,6,5,2,3,7]
[5,3,6,4,1,7,2]=>[4,6,7,5,1,2,3]
[5,3,6,4,2,1,7]=>[2,4,6,5,1,3,7]
[5,3,6,4,2,7,1]=>[7,4,6,5,2,3,1]
[5,3,6,4,7,1,2]=>[7,1,5,6,3,4,2]
[5,3,6,4,7,2,1]=>[2,7,5,6,3,4,1]
[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]
[5,3,6,7,1,4,2]=>[7,4,5,1,3,6,2]
[5,3,6,7,2,1,4]=>[2,7,5,1,3,6,4]
[5,3,6,7,2,4,1]=>[4,7,5,2,3,6,1]
[5,3,6,7,4,1,2]=>[4,1,7,5,2,6,3]
[5,3,6,7,4,2,1]=>[2,4,7,5,1,6,3]
[5,3,7,1,2,4,6]=>[7,1,5,2,3,4,6]
[5,3,7,1,2,6,4]=>[7,1,5,6,3,2,4]
[5,3,7,1,4,2,6]=>[7,4,5,1,3,2,6]
[5,3,7,1,4,6,2]=>[7,6,5,1,3,4,2]
[5,3,7,1,6,2,4]=>[7,6,5,2,3,1,4]
[5,3,7,1,6,4,2]=>[7,4,6,5,2,1,3]
[5,3,7,2,1,4,6]=>[2,7,5,1,3,4,6]
[5,3,7,2,1,6,4]=>[2,7,5,6,3,1,4]
[5,3,7,2,4,1,6]=>[4,7,5,2,3,1,6]
[5,3,7,2,4,6,1]=>[6,7,5,2,3,4,1]
[5,3,7,2,6,1,4]=>[6,7,5,1,3,2,4]
[5,3,7,2,6,4,1]=>[4,6,7,5,1,3,2]
[5,3,7,4,1,2,6]=>[4,1,7,5,2,3,6]
[5,3,7,4,1,6,2]=>[4,7,6,5,1,2,3]
[5,3,7,4,2,1,6]=>[2,4,7,5,1,3,6]
[5,3,7,4,2,6,1]=>[6,4,7,5,2,3,1]
[5,3,7,4,6,1,2]=>[6,1,5,7,3,4,2]
[5,3,7,4,6,2,1]=>[2,6,5,7,3,4,1]
[5,3,7,6,1,2,4]=>[6,1,5,2,3,7,4]
[5,3,7,6,1,4,2]=>[6,4,5,1,3,7,2]
[5,3,7,6,2,1,4]=>[2,6,5,1,3,7,4]
[5,3,7,6,2,4,1]=>[4,6,5,2,3,7,1]
[5,3,7,6,4,1,2]=>[4,1,6,5,2,7,3]
[5,3,7,6,4,2,1]=>[2,4,6,5,1,7,3]
[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]
[5,4,1,2,6,3,7]=>[4,1,5,6,3,2,7]
[5,4,1,2,6,7,3]=>[4,1,5,7,3,6,2]
[5,4,1,2,7,3,6]=>[4,1,5,7,3,2,6]
[5,4,1,2,7,6,3]=>[4,1,5,6,3,7,2]
[5,4,1,3,2,6,7]=>[4,3,1,5,2,6,7]
[5,4,1,3,2,7,6]=>[4,3,1,5,2,7,6]
[5,4,1,3,6,2,7]=>[4,5,2,6,3,1,7]
[5,4,1,3,6,7,2]=>[4,5,2,7,3,6,1]
[5,4,1,3,7,2,6]=>[4,5,2,7,3,1,6]
[5,4,1,3,7,6,2]=>[4,5,2,6,3,7,1]
[5,4,1,6,2,3,7]=>[4,5,1,6,2,3,7]
[5,4,1,6,2,7,3]=>[4,5,6,7,2,3,1]
[5,4,1,6,3,2,7]=>[4,3,5,6,2,1,7]
[5,4,1,6,3,7,2]=>[4,5,7,6,2,1,3]
[5,4,1,6,7,2,3]=>[4,5,1,7,2,6,3]
[5,4,1,6,7,3,2]=>[4,3,5,7,2,6,1]
[5,4,1,7,2,3,6]=>[4,5,1,7,2,3,6]
[5,4,1,7,2,6,3]=>[4,5,7,6,2,3,1]
[5,4,1,7,3,2,6]=>[4,3,5,7,2,1,6]
[5,4,1,7,3,6,2]=>[4,5,6,7,2,1,3]
[5,4,1,7,6,2,3]=>[4,5,1,6,2,7,3]
[5,4,1,7,6,3,2]=>[4,3,5,6,2,7,1]
[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]
[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]
[5,4,2,1,6,3,7]=>[2,4,5,6,3,1,7]
[5,4,2,1,6,7,3]=>[2,4,5,7,3,6,1]
[5,4,2,1,7,3,6]=>[2,4,5,7,3,1,6]
[5,4,2,1,7,6,3]=>[2,4,5,6,3,7,1]
[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]
[5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]
[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]
[5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]
[5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]
[5,4,2,3,7,6,1]=>[6,4,2,5,3,7,1]
[5,4,2,6,1,3,7]=>[6,4,1,5,2,3,7]
[5,4,2,6,1,7,3]=>[6,4,5,7,3,1,2]
[5,4,2,6,3,1,7]=>[3,6,4,5,1,2,7]
[5,4,2,6,3,7,1]=>[7,4,5,6,3,2,1]
[5,4,2,6,7,1,3]=>[7,4,1,5,2,6,3]
[5,4,2,6,7,3,1]=>[3,7,4,5,1,6,2]
[5,4,2,7,1,3,6]=>[7,4,1,5,2,3,6]
[5,4,2,7,1,6,3]=>[7,4,5,6,3,1,2]
[5,4,2,7,3,1,6]=>[3,7,4,5,1,2,6]
[5,4,2,7,3,6,1]=>[6,4,5,7,3,2,1]
[5,4,2,7,6,1,3]=>[6,4,1,5,2,7,3]
[5,4,2,7,6,3,1]=>[3,6,4,5,1,7,2]
[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]
[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]
[5,4,3,1,6,2,7]=>[3,4,5,6,1,2,7]
[5,4,3,1,6,7,2]=>[3,4,5,7,1,6,2]
[5,4,3,1,7,2,6]=>[3,4,5,7,1,2,6]
[5,4,3,1,7,6,2]=>[3,4,5,6,1,7,2]
[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]
[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]
[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]
[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]
[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1]
[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]
[5,4,3,6,1,7,2]=>[6,7,4,5,3,1,2]
[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]
[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]
[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]
[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]
[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]
[5,4,3,7,1,6,2]=>[7,6,4,5,3,1,2]
[5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]
[5,4,3,7,2,6,1]=>[6,7,4,5,3,2,1]
[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2]
[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]
[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[5,4,6,1,2,7,3]=>[6,1,7,5,4,2,3]
[5,4,6,1,3,2,7]=>[6,3,1,5,4,2,7]
[5,4,6,1,3,7,2]=>[6,7,1,5,4,3,2]
[5,4,6,1,7,2,3]=>[6,7,2,5,4,1,3]
[5,4,6,1,7,3,2]=>[6,3,7,5,4,1,2]
[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]
[5,4,6,2,1,7,3]=>[2,6,7,5,4,1,3]
[5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]
[5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]
[5,4,6,2,7,1,3]=>[7,6,1,5,4,2,3]
[5,4,6,2,7,3,1]=>[3,7,6,5,4,1,2]
[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]
[5,4,6,3,1,7,2]=>[3,6,7,5,4,2,1]
[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]
[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]
[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]
[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]
[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]
[5,4,6,7,1,3,2]=>[7,3,1,5,4,6,2]
[5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]
[5,4,6,7,2,3,1]=>[3,7,2,5,4,6,1]
[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]
[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]
[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]
[5,4,7,1,2,6,3]=>[7,1,6,5,4,2,3]
[5,4,7,1,3,2,6]=>[7,3,1,5,4,2,6]
[5,4,7,1,3,6,2]=>[7,6,1,5,4,3,2]
[5,4,7,1,6,2,3]=>[7,6,2,5,4,1,3]
[5,4,7,1,6,3,2]=>[7,3,6,5,4,1,2]
[5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]
[5,4,7,2,1,6,3]=>[2,7,6,5,4,1,3]
[5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]
[5,4,7,2,3,6,1]=>[6,7,2,5,4,3,1]
[5,4,7,2,6,1,3]=>[6,7,1,5,4,2,3]
[5,4,7,2,6,3,1]=>[3,6,7,5,4,1,2]
[5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]
[5,4,7,3,1,6,2]=>[3,7,6,5,4,2,1]
[5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]
[5,4,7,3,2,6,1]=>[6,3,7,5,4,2,1]
[5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]
[5,4,7,3,6,2,1]=>[2,6,7,5,4,3,1]
[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3]
[5,4,7,6,1,3,2]=>[6,3,1,5,4,7,2]
[5,4,7,6,2,1,3]=>[2,6,1,5,4,7,3]
[5,4,7,6,2,3,1]=>[3,6,2,5,4,7,1]
[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2]
[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]
[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]
[5,6,1,2,4,3,7]=>[6,1,4,2,5,3,7]
[5,6,1,2,4,7,3]=>[6,1,7,2,5,4,3]
[5,6,1,2,7,3,4]=>[6,1,7,3,5,2,4]
[5,6,1,2,7,4,3]=>[6,1,4,7,5,2,3]
[5,6,1,3,2,4,7]=>[6,3,1,2,5,4,7]
[5,6,1,3,2,7,4]=>[6,3,1,7,5,2,4]
[5,6,1,3,4,2,7]=>[6,4,1,3,5,2,7]
[5,6,1,3,4,7,2]=>[6,7,1,3,5,4,2]
[5,6,1,3,7,2,4]=>[6,7,1,2,5,3,4]
[5,6,1,3,7,4,2]=>[6,4,1,7,5,3,2]
[5,6,1,4,2,3,7]=>[6,4,2,1,5,3,7]
[5,6,1,4,2,7,3]=>[6,4,7,1,5,2,3]
[5,6,1,4,3,2,7]=>[6,3,4,1,5,2,7]
[5,6,1,4,3,7,2]=>[6,7,4,1,5,3,2]
[5,6,1,4,7,2,3]=>[6,7,2,1,5,4,3]
[5,6,1,4,7,3,2]=>[6,3,7,1,5,4,2]
[5,6,1,7,2,3,4]=>[6,7,2,3,5,1,4]
[5,6,1,7,2,4,3]=>[6,7,4,2,5,1,3]
[5,6,1,7,3,2,4]=>[6,3,7,2,5,1,4]
[5,6,1,7,3,4,2]=>[6,4,7,3,5,1,2]
[5,6,1,7,4,2,3]=>[6,4,2,7,5,1,3]
[5,6,1,7,4,3,2]=>[6,3,4,7,5,1,2]
[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]
[5,6,2,1,3,7,4]=>[2,6,1,7,5,3,4]
[5,6,2,1,4,3,7]=>[2,6,4,1,5,3,7]
[5,6,2,1,4,7,3]=>[2,6,7,1,5,4,3]
[5,6,2,1,7,3,4]=>[2,6,7,3,5,1,4]
[5,6,2,1,7,4,3]=>[2,6,4,7,5,1,3]
[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]
[5,6,2,3,1,7,4]=>[3,6,2,7,5,1,4]
[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]
[5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]
[5,6,2,3,7,1,4]=>[7,6,2,1,5,3,4]
[5,6,2,3,7,4,1]=>[4,7,1,6,5,3,2]
[5,6,2,4,1,3,7]=>[4,6,1,2,5,3,7]
[5,6,2,4,1,7,3]=>[4,6,7,2,5,1,3]
[5,6,2,4,3,1,7]=>[3,4,6,1,5,2,7]
[5,6,2,4,3,7,1]=>[7,6,4,2,5,3,1]
[5,6,2,4,7,1,3]=>[7,6,1,2,5,4,3]
[5,6,2,4,7,3,1]=>[3,7,6,1,5,4,2]
[5,6,2,7,1,3,4]=>[7,6,1,3,5,2,4]
[5,6,2,7,1,4,3]=>[7,6,4,1,5,2,3]
[5,6,2,7,3,1,4]=>[3,7,6,2,5,1,4]
[5,6,2,7,3,4,1]=>[4,6,7,3,5,2,1]
[5,6,2,7,4,1,3]=>[4,7,2,6,5,1,3]
[5,6,2,7,4,3,1]=>[3,4,7,6,5,2,1]
[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]
[5,6,3,1,2,7,4]=>[3,1,6,7,5,2,4]
[5,6,3,1,4,2,7]=>[3,6,4,2,5,1,7]
[5,6,3,1,4,7,2]=>[3,6,7,2,5,4,1]
[5,6,3,1,7,2,4]=>[3,6,7,1,5,2,4]
[5,6,3,1,7,4,2]=>[3,6,4,7,5,2,1]
[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]
[5,6,3,2,1,7,4]=>[2,3,6,7,5,1,4]
[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]
[5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]
[5,6,3,2,7,1,4]=>[7,3,6,1,5,2,4]
[5,6,3,2,7,4,1]=>[4,3,7,6,5,1,2]
[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]
[5,6,3,4,1,7,2]=>[4,7,6,3,5,1,2]
[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]
[5,6,3,4,2,7,1]=>[7,4,6,3,5,2,1]
[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]
[5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]
[5,6,3,7,1,2,4]=>[7,1,6,2,5,3,4]
[5,6,3,7,1,4,2]=>[7,4,6,1,5,3,2]
[5,6,3,7,2,1,4]=>[2,7,6,1,5,3,4]
[5,6,3,7,2,4,1]=>[4,7,6,2,5,3,1]
[5,6,3,7,4,1,2]=>[4,1,7,6,5,2,3]
[5,6,3,7,4,2,1]=>[2,4,7,6,5,1,3]
[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]
[5,6,4,1,2,7,3]=>[4,1,6,7,5,3,2]
[5,6,4,1,3,2,7]=>[4,3,1,6,5,2,7]
[5,6,4,1,3,7,2]=>[4,6,2,7,5,3,1]
[5,6,4,1,7,2,3]=>[4,6,1,7,5,2,3]
[5,6,4,1,7,3,2]=>[4,3,6,7,5,2,1]
[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]
[5,6,4,2,1,7,3]=>[2,4,6,7,5,3,1]
[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]
[5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]
[5,6,4,2,7,1,3]=>[7,4,1,6,5,2,3]
[5,6,4,2,7,3,1]=>[3,7,4,6,5,1,2]
[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]
[5,6,4,3,1,7,2]=>[3,4,6,7,5,1,2]
[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]
[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]
[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]
[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]
[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]
[5,6,4,7,1,3,2]=>[7,3,1,6,5,4,2]
[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]
[5,6,4,7,2,3,1]=>[3,7,2,6,5,4,1]
[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]
[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]
[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[5,6,7,1,2,4,3]=>[7,1,4,2,5,6,3]
[5,6,7,1,3,2,4]=>[7,3,1,2,5,6,4]
[5,6,7,1,3,4,2]=>[7,4,1,3,5,6,2]
[5,6,7,1,4,2,3]=>[7,4,2,1,5,6,3]
[5,6,7,1,4,3,2]=>[7,3,4,1,5,6,2]
[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]
[5,6,7,2,1,4,3]=>[2,7,4,1,5,6,3]
[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]
[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1]
[5,6,7,2,4,1,3]=>[4,7,1,2,5,6,3]
[5,6,7,2,4,3,1]=>[3,4,7,1,5,6,2]
[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]
[5,6,7,3,1,4,2]=>[3,7,4,2,5,6,1]
[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]
[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1]
[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]
[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1]
[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]
[5,6,7,4,1,3,2]=>[4,3,1,7,5,6,2]
[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]
[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1]
[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]
[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]
[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]
[5,7,1,2,3,6,4]=>[7,1,2,6,5,3,4]
[5,7,1,2,4,3,6]=>[7,1,4,2,5,3,6]
[5,7,1,2,4,6,3]=>[7,1,6,2,5,4,3]
[5,7,1,2,6,3,4]=>[7,1,6,3,5,2,4]
[5,7,1,2,6,4,3]=>[7,1,4,6,5,2,3]
[5,7,1,3,2,4,6]=>[7,3,1,2,5,4,6]
[5,7,1,3,2,6,4]=>[7,3,1,6,5,2,4]
[5,7,1,3,4,2,6]=>[7,4,1,3,5,2,6]
[5,7,1,3,4,6,2]=>[7,6,1,3,5,4,2]
[5,7,1,3,6,2,4]=>[7,6,1,2,5,3,4]
[5,7,1,3,6,4,2]=>[7,4,1,6,5,3,2]
[5,7,1,4,2,3,6]=>[7,4,2,1,5,3,6]
[5,7,1,4,2,6,3]=>[7,4,6,1,5,2,3]
[5,7,1,4,3,2,6]=>[7,3,4,1,5,2,6]
[5,7,1,4,3,6,2]=>[7,6,4,1,5,3,2]
[5,7,1,4,6,2,3]=>[7,6,2,1,5,4,3]
[5,7,1,4,6,3,2]=>[7,3,6,1,5,4,2]
[5,7,1,6,2,3,4]=>[7,6,2,3,5,1,4]
[5,7,1,6,2,4,3]=>[7,6,4,2,5,1,3]
[5,7,1,6,3,2,4]=>[7,3,6,2,5,1,4]
[5,7,1,6,3,4,2]=>[7,4,6,3,5,1,2]
[5,7,1,6,4,2,3]=>[7,4,2,6,5,1,3]
[5,7,1,6,4,3,2]=>[7,3,4,6,5,1,2]
[5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]
[5,7,2,1,3,6,4]=>[2,7,1,6,5,3,4]
[5,7,2,1,4,3,6]=>[2,7,4,1,5,3,6]
[5,7,2,1,4,6,3]=>[2,7,6,1,5,4,3]
[5,7,2,1,6,3,4]=>[2,7,6,3,5,1,4]
[5,7,2,1,6,4,3]=>[2,7,4,6,5,1,3]
[5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]
[5,7,2,3,1,6,4]=>[3,7,2,6,5,1,4]
[5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]
[5,7,2,3,4,6,1]=>[6,7,2,3,5,4,1]
[5,7,2,3,6,1,4]=>[6,7,2,1,5,3,4]
[5,7,2,3,6,4,1]=>[4,6,1,7,5,3,2]
[5,7,2,4,1,3,6]=>[4,7,1,2,5,3,6]
[5,7,2,4,1,6,3]=>[4,7,6,2,5,1,3]
[5,7,2,4,3,1,6]=>[3,4,7,1,5,2,6]
[5,7,2,4,3,6,1]=>[6,7,4,2,5,3,1]
[5,7,2,4,6,1,3]=>[6,7,1,2,5,4,3]
[5,7,2,4,6,3,1]=>[3,6,7,1,5,4,2]
[5,7,2,6,1,3,4]=>[6,7,1,3,5,2,4]
[5,7,2,6,1,4,3]=>[6,7,4,1,5,2,3]
[5,7,2,6,3,1,4]=>[3,6,7,2,5,1,4]
[5,7,2,6,3,4,1]=>[4,7,6,3,5,2,1]
[5,7,2,6,4,1,3]=>[4,6,2,7,5,1,3]
[5,7,2,6,4,3,1]=>[3,4,6,7,5,2,1]
[5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]
[5,7,3,1,2,6,4]=>[3,1,7,6,5,2,4]
[5,7,3,1,4,2,6]=>[3,7,4,2,5,1,6]
[5,7,3,1,4,6,2]=>[3,7,6,2,5,4,1]
[5,7,3,1,6,2,4]=>[3,7,6,1,5,2,4]
[5,7,3,1,6,4,2]=>[3,7,4,6,5,2,1]
[5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]
[5,7,3,2,1,6,4]=>[2,3,7,6,5,1,4]
[5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]
[5,7,3,2,4,6,1]=>[6,3,7,2,5,4,1]
[5,7,3,2,6,1,4]=>[6,3,7,1,5,2,4]
[5,7,3,2,6,4,1]=>[4,3,6,7,5,1,2]
[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]
[5,7,3,4,1,6,2]=>[4,6,7,3,5,1,2]
[5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]
[5,7,3,4,2,6,1]=>[6,4,7,3,5,2,1]
[5,7,3,4,6,1,2]=>[6,1,7,3,5,4,2]
[5,7,3,4,6,2,1]=>[2,6,7,3,5,4,1]
[5,7,3,6,1,2,4]=>[6,1,7,2,5,3,4]
[5,7,3,6,1,4,2]=>[6,4,7,1,5,3,2]
[5,7,3,6,2,1,4]=>[2,6,7,1,5,3,4]
[5,7,3,6,2,4,1]=>[4,6,7,2,5,3,1]
[5,7,3,6,4,1,2]=>[4,1,6,7,5,2,3]
[5,7,3,6,4,2,1]=>[2,4,6,7,5,1,3]
[5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]
[5,7,4,1,2,6,3]=>[4,1,7,6,5,3,2]
[5,7,4,1,3,2,6]=>[4,3,1,7,5,2,6]
[5,7,4,1,3,6,2]=>[4,7,2,6,5,3,1]
[5,7,4,1,6,2,3]=>[4,7,1,6,5,2,3]
[5,7,4,1,6,3,2]=>[4,3,7,6,5,2,1]
[5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]
[5,7,4,2,1,6,3]=>[2,4,7,6,5,3,1]
[5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]
[5,7,4,2,3,6,1]=>[6,4,2,7,5,3,1]
[5,7,4,2,6,1,3]=>[6,4,1,7,5,2,3]
[5,7,4,2,6,3,1]=>[3,6,4,7,5,1,2]
[5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]
[5,7,4,3,1,6,2]=>[3,4,7,6,5,1,2]
[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]
[5,7,4,3,2,6,1]=>[6,3,4,7,5,2,1]
[5,7,4,3,6,1,2]=>[6,1,4,7,5,3,2]
[5,7,4,3,6,2,1]=>[2,6,4,7,5,3,1]
[5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]
[5,7,4,6,1,3,2]=>[6,3,1,7,5,4,2]
[5,7,4,6,2,1,3]=>[2,6,1,7,5,4,3]
[5,7,4,6,2,3,1]=>[3,6,2,7,5,4,1]
[5,7,4,6,3,1,2]=>[3,1,6,7,5,4,2]
[5,7,4,6,3,2,1]=>[2,3,6,7,5,4,1]
[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4]
[5,7,6,1,2,4,3]=>[6,1,4,2,5,7,3]
[5,7,6,1,3,2,4]=>[6,3,1,2,5,7,4]
[5,7,6,1,3,4,2]=>[6,4,1,3,5,7,2]
[5,7,6,1,4,2,3]=>[6,4,2,1,5,7,3]
[5,7,6,1,4,3,2]=>[6,3,4,1,5,7,2]
[5,7,6,2,1,3,4]=>[2,6,1,3,5,7,4]
[5,7,6,2,1,4,3]=>[2,6,4,1,5,7,3]
[5,7,6,2,3,1,4]=>[3,6,2,1,5,7,4]
[5,7,6,2,3,4,1]=>[4,6,2,3,5,7,1]
[5,7,6,2,4,1,3]=>[4,6,1,2,5,7,3]
[5,7,6,2,4,3,1]=>[3,4,6,1,5,7,2]
[5,7,6,3,1,2,4]=>[3,1,6,2,5,7,4]
[5,7,6,3,1,4,2]=>[3,6,4,2,5,7,1]
[5,7,6,3,2,1,4]=>[2,3,6,1,5,7,4]
[5,7,6,3,2,4,1]=>[4,3,6,2,5,7,1]
[5,7,6,3,4,1,2]=>[4,1,6,3,5,7,2]
[5,7,6,3,4,2,1]=>[2,4,6,3,5,7,1]
[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3]
[5,7,6,4,1,3,2]=>[4,3,1,6,5,7,2]
[5,7,6,4,2,1,3]=>[2,4,1,6,5,7,3]
[5,7,6,4,2,3,1]=>[3,4,2,6,5,7,1]
[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2]
[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]
[6,1,2,3,5,4,7]=>[6,1,2,5,3,4,7]
[6,1,2,3,5,7,4]=>[6,1,2,7,3,5,4]
[6,1,2,3,7,4,5]=>[6,1,2,7,4,3,5]
[6,1,2,3,7,5,4]=>[6,1,2,5,7,3,4]
[6,1,2,4,3,5,7]=>[6,1,4,2,3,5,7]
[6,1,2,4,3,7,5]=>[6,1,4,2,7,3,5]
[6,1,2,4,5,3,7]=>[6,1,5,2,4,3,7]
[6,1,2,4,5,7,3]=>[6,1,7,2,4,5,3]
[6,1,2,4,7,3,5]=>[6,1,7,2,3,4,5]
[6,1,2,4,7,5,3]=>[6,1,5,2,7,4,3]
[6,1,2,5,3,4,7]=>[6,1,5,3,2,4,7]
[6,1,2,5,3,7,4]=>[6,1,5,7,2,3,4]
[6,1,2,5,4,3,7]=>[6,1,4,5,2,3,7]
[6,1,2,5,4,7,3]=>[6,1,7,5,2,4,3]
[6,1,2,5,7,3,4]=>[6,1,7,3,2,5,4]
[6,1,2,5,7,4,3]=>[6,1,4,7,2,5,3]
[6,1,2,7,3,4,5]=>[6,1,7,3,4,2,5]
[6,1,2,7,3,5,4]=>[6,1,7,5,3,2,4]
[6,1,2,7,4,3,5]=>[6,1,4,7,3,2,5]
[6,1,2,7,4,5,3]=>[6,1,5,7,4,2,3]
[6,1,2,7,5,3,4]=>[6,1,5,3,7,2,4]
[6,1,2,7,5,4,3]=>[6,1,4,5,7,2,3]
[6,1,3,2,4,5,7]=>[6,3,1,2,4,5,7]
[6,1,3,2,4,7,5]=>[6,3,1,2,7,4,5]
[6,1,3,2,5,4,7]=>[6,3,1,5,2,4,7]
[6,1,3,2,5,7,4]=>[6,3,1,7,2,5,4]
[6,1,3,2,7,4,5]=>[6,3,1,7,4,2,5]
[6,1,3,2,7,5,4]=>[6,3,1,5,7,2,4]
[6,1,3,4,2,5,7]=>[6,4,1,3,2,5,7]
[6,1,3,4,2,7,5]=>[6,4,1,3,7,2,5]
[6,1,3,4,5,2,7]=>[6,5,1,3,4,2,7]
[6,1,3,4,5,7,2]=>[6,7,1,3,4,5,2]
[6,1,3,4,7,2,5]=>[6,7,1,3,2,4,5]
[6,1,3,4,7,5,2]=>[6,5,1,3,7,4,2]
[6,1,3,5,2,4,7]=>[6,5,1,2,3,4,7]
[6,1,3,5,2,7,4]=>[6,5,1,7,3,2,4]
[6,1,3,5,4,2,7]=>[6,4,1,5,3,2,7]
[6,1,3,5,4,7,2]=>[6,7,1,5,3,4,2]
[6,1,3,5,7,2,4]=>[6,7,1,2,3,5,4]
[6,1,3,5,7,4,2]=>[6,4,1,7,3,5,2]
[6,1,3,7,2,4,5]=>[6,7,1,2,4,3,5]
[6,1,3,7,2,5,4]=>[6,7,1,5,2,3,4]
[6,1,3,7,4,2,5]=>[6,4,1,7,2,3,5]
[6,1,3,7,4,5,2]=>[6,5,1,7,4,3,2]
[6,1,3,7,5,2,4]=>[6,5,1,2,7,3,4]
[6,1,3,7,5,4,2]=>[6,4,1,5,7,3,2]
[6,1,4,2,3,5,7]=>[6,4,2,1,3,5,7]
[6,1,4,2,3,7,5]=>[6,4,2,1,7,3,5]
[6,1,4,2,5,3,7]=>[6,4,5,1,2,3,7]
[6,1,4,2,5,7,3]=>[6,4,7,1,2,5,3]
[6,1,4,2,7,3,5]=>[6,4,7,1,3,2,5]
[6,1,4,2,7,5,3]=>[6,4,5,1,7,2,3]
[6,1,4,3,2,5,7]=>[6,3,4,1,2,5,7]
[6,1,4,3,2,7,5]=>[6,3,4,1,7,2,5]
[6,1,4,3,5,2,7]=>[6,5,4,1,3,2,7]
[6,1,4,3,5,7,2]=>[6,7,4,1,3,5,2]
[6,1,4,3,7,2,5]=>[6,7,4,1,2,3,5]
[6,1,4,3,7,5,2]=>[6,5,4,1,7,3,2]
[6,1,4,5,2,3,7]=>[6,5,2,1,4,3,7]
[6,1,4,5,2,7,3]=>[6,5,7,1,4,2,3]
[6,1,4,5,3,2,7]=>[6,3,5,1,4,2,7]
[6,1,4,5,3,7,2]=>[6,7,5,1,4,3,2]
[6,1,4,5,7,2,3]=>[6,7,2,1,4,5,3]
[6,1,4,5,7,3,2]=>[6,3,7,1,4,5,2]
[6,1,4,7,2,3,5]=>[6,7,2,1,3,4,5]
[6,1,4,7,2,5,3]=>[6,7,5,1,2,4,3]
[6,1,4,7,3,2,5]=>[6,3,7,1,2,4,5]
[6,1,4,7,3,5,2]=>[6,5,7,1,3,4,2]
[6,1,4,7,5,2,3]=>[6,5,2,1,7,4,3]
[6,1,4,7,5,3,2]=>[6,3,5,1,7,4,2]
[6,1,5,2,3,4,7]=>[6,5,2,3,1,4,7]
[6,1,5,2,3,7,4]=>[6,5,2,7,1,3,4]
[6,1,5,2,4,3,7]=>[6,5,4,2,1,3,7]
[6,1,5,2,4,7,3]=>[6,5,7,2,1,4,3]
[6,1,5,2,7,3,4]=>[6,5,7,3,1,2,4]
[6,1,5,2,7,4,3]=>[6,5,4,7,1,2,3]
[6,1,5,3,2,4,7]=>[6,3,5,2,1,4,7]
[6,1,5,3,2,7,4]=>[6,3,5,7,1,2,4]
[6,1,5,3,4,2,7]=>[6,4,5,3,1,2,7]
[6,1,5,3,4,7,2]=>[6,7,5,3,1,4,2]
[6,1,5,3,7,2,4]=>[6,7,5,2,1,3,4]
[6,1,5,3,7,4,2]=>[6,4,7,5,1,2,3]
[6,1,5,4,2,3,7]=>[6,4,2,5,1,3,7]
[6,1,5,4,2,7,3]=>[6,4,5,7,1,3,2]
[6,1,5,4,3,2,7]=>[6,3,4,5,1,2,7]
[6,1,5,4,3,7,2]=>[6,7,4,5,1,3,2]
[6,1,5,4,7,2,3]=>[6,7,2,5,1,4,3]
[6,1,5,4,7,3,2]=>[6,3,7,5,1,4,2]
[6,1,5,7,2,3,4]=>[6,7,2,3,1,5,4]
[6,1,5,7,2,4,3]=>[6,7,4,2,1,5,3]
[6,1,5,7,3,2,4]=>[6,3,7,2,1,5,4]
[6,1,5,7,3,4,2]=>[6,4,7,3,1,5,2]
[6,1,5,7,4,2,3]=>[6,4,2,7,1,5,3]
[6,1,5,7,4,3,2]=>[6,3,4,7,1,5,2]
[6,1,7,2,3,4,5]=>[6,7,2,3,4,1,5]
[6,1,7,2,3,5,4]=>[6,7,2,5,3,1,4]
[6,1,7,2,4,3,5]=>[6,7,4,2,3,1,5]
[6,1,7,2,4,5,3]=>[6,7,5,2,4,1,3]
[6,1,7,2,5,3,4]=>[6,7,5,3,2,1,4]
[6,1,7,2,5,4,3]=>[6,7,4,5,2,1,3]
[6,1,7,3,2,4,5]=>[6,3,7,2,4,1,5]
[6,1,7,3,2,5,4]=>[6,3,7,5,2,1,4]
[6,1,7,3,4,2,5]=>[6,4,7,3,2,1,5]
[6,1,7,3,4,5,2]=>[6,5,7,3,4,1,2]
[6,1,7,3,5,2,4]=>[6,5,7,2,3,1,4]
[6,1,7,3,5,4,2]=>[6,4,5,7,2,1,3]
[6,1,7,4,2,3,5]=>[6,4,2,7,3,1,5]
[6,1,7,4,2,5,3]=>[6,4,7,5,3,1,2]
[6,1,7,4,3,2,5]=>[6,3,4,7,2,1,5]
[6,1,7,4,3,5,2]=>[6,5,4,7,3,1,2]
[6,1,7,4,5,2,3]=>[6,5,2,7,4,1,3]
[6,1,7,4,5,3,2]=>[6,3,5,7,4,1,2]
[6,1,7,5,2,3,4]=>[6,5,2,3,7,1,4]
[6,1,7,5,2,4,3]=>[6,5,4,2,7,1,3]
[6,1,7,5,3,2,4]=>[6,3,5,2,7,1,4]
[6,1,7,5,3,4,2]=>[6,4,5,3,7,1,2]
[6,1,7,5,4,2,3]=>[6,4,2,5,7,1,3]
[6,1,7,5,4,3,2]=>[6,3,4,5,7,1,2]
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[6,2,1,3,4,7,5]=>[2,6,1,3,7,4,5]
[6,2,1,3,5,4,7]=>[2,6,1,5,3,4,7]
[6,2,1,3,5,7,4]=>[2,6,1,7,3,5,4]
[6,2,1,3,7,4,5]=>[2,6,1,7,4,3,5]
[6,2,1,3,7,5,4]=>[2,6,1,5,7,3,4]
[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]
[6,2,1,4,3,7,5]=>[2,6,4,1,7,3,5]
[6,2,1,4,5,3,7]=>[2,6,5,1,4,3,7]
[6,2,1,4,5,7,3]=>[2,6,7,1,4,5,3]
[6,2,1,4,7,3,5]=>[2,6,7,1,3,4,5]
[6,2,1,4,7,5,3]=>[2,6,5,1,7,4,3]
[6,2,1,5,3,4,7]=>[2,6,5,3,1,4,7]
[6,2,1,5,3,7,4]=>[2,6,5,7,1,3,4]
[6,2,1,5,4,3,7]=>[2,6,4,5,1,3,7]
[6,2,1,5,4,7,3]=>[2,6,7,5,1,4,3]
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]
[6,2,1,5,7,4,3]=>[2,6,4,7,1,5,3]
[6,2,1,7,3,4,5]=>[2,6,7,3,4,1,5]
[6,2,1,7,3,5,4]=>[2,6,7,5,3,1,4]
[6,2,1,7,4,3,5]=>[2,6,4,7,3,1,5]
[6,2,1,7,4,5,3]=>[2,6,5,7,4,1,3]
[6,2,1,7,5,3,4]=>[2,6,5,3,7,1,4]
[6,2,1,7,5,4,3]=>[2,6,4,5,7,1,3]
[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]
[6,2,3,1,4,7,5]=>[3,6,2,1,7,4,5]
[6,2,3,1,5,4,7]=>[3,6,2,5,1,4,7]
[6,2,3,1,5,7,4]=>[3,6,2,7,1,5,4]
[6,2,3,1,7,4,5]=>[3,6,2,7,4,1,5]
[6,2,3,1,7,5,4]=>[3,6,2,5,7,1,4]
[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]
[6,2,3,4,1,7,5]=>[4,6,2,3,7,1,5]
[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]
[6,2,3,4,7,1,5]=>[7,6,2,3,1,4,5]
[6,2,3,4,7,5,1]=>[5,7,1,3,6,4,2]
[6,2,3,5,1,4,7]=>[5,6,2,1,3,4,7]
[6,2,3,5,1,7,4]=>[5,6,2,7,3,1,4]
[6,2,3,5,4,1,7]=>[4,5,1,6,3,2,7]
[6,2,3,5,4,7,1]=>[7,6,2,5,3,4,1]
[6,2,3,5,7,1,4]=>[7,6,2,1,3,5,4]
[6,2,3,5,7,4,1]=>[4,7,1,6,3,5,2]
[6,2,3,7,1,4,5]=>[7,6,2,1,4,3,5]
[6,2,3,7,1,5,4]=>[7,6,2,5,1,3,4]
[6,2,3,7,4,1,5]=>[4,7,1,6,2,3,5]
[6,2,3,7,4,5,1]=>[5,6,2,7,4,3,1]
[6,2,3,7,5,1,4]=>[5,7,1,2,6,3,4]
[6,2,3,7,5,4,1]=>[4,5,2,7,6,3,1]
[6,2,4,1,3,5,7]=>[4,6,1,2,3,5,7]
[6,2,4,1,3,7,5]=>[4,6,1,2,7,3,5]
[6,2,4,1,5,3,7]=>[4,6,5,2,1,3,7]
[6,2,4,1,5,7,3]=>[4,6,7,2,1,5,3]
[6,2,4,1,7,3,5]=>[4,6,7,2,3,1,5]
[6,2,4,1,7,5,3]=>[4,6,5,2,7,1,3]
[6,2,4,3,1,5,7]=>[3,4,6,1,2,5,7]
[6,2,4,3,1,7,5]=>[3,4,6,1,7,2,5]
[6,2,4,3,5,1,7]=>[5,6,4,2,3,1,7]
[6,2,4,3,5,7,1]=>[7,6,4,2,3,5,1]
[6,2,4,3,7,1,5]=>[7,6,4,2,1,3,5]
[6,2,4,3,7,5,1]=>[5,7,4,1,6,3,2]
[6,2,4,5,1,3,7]=>[5,6,1,2,4,3,7]
[6,2,4,5,1,7,3]=>[5,6,7,2,4,1,3]
[6,2,4,5,3,1,7]=>[3,5,6,1,4,2,7]
[6,2,4,5,3,7,1]=>[7,6,5,2,4,3,1]
[6,2,4,5,7,1,3]=>[7,6,1,2,4,5,3]
[6,2,4,5,7,3,1]=>[3,7,6,1,4,5,2]
[6,2,4,7,1,3,5]=>[7,6,1,2,3,4,5]
[6,2,4,7,1,5,3]=>[7,6,5,2,1,4,3]
[6,2,4,7,3,1,5]=>[3,7,6,1,2,4,5]
[6,2,4,7,3,5,1]=>[5,6,7,2,3,4,1]
[6,2,4,7,5,1,3]=>[5,7,2,1,6,4,3]
[6,2,4,7,5,3,1]=>[3,5,7,2,6,4,1]
[6,2,5,1,3,4,7]=>[5,6,1,3,2,4,7]
[6,2,5,1,3,7,4]=>[5,6,1,7,2,3,4]
[6,2,5,1,4,3,7]=>[5,6,4,1,2,3,7]
[6,2,5,1,4,7,3]=>[5,6,7,1,2,4,3]
[6,2,5,1,7,3,4]=>[5,6,7,3,2,1,4]
[6,2,5,1,7,4,3]=>[5,6,4,7,2,1,3]
[6,2,5,3,1,4,7]=>[3,5,6,2,1,4,7]
[6,2,5,3,1,7,4]=>[3,5,6,7,1,2,4]
[6,2,5,3,4,1,7]=>[4,6,5,3,2,1,7]
[6,2,5,3,4,7,1]=>[7,6,5,3,2,4,1]
[6,2,5,3,7,1,4]=>[7,6,5,1,2,3,4]
[6,2,5,3,7,4,1]=>[4,7,6,5,3,1,2]
[6,2,5,4,1,3,7]=>[4,5,2,6,1,3,7]
[6,2,5,4,1,7,3]=>[4,5,6,7,3,2,1]
[6,2,5,4,3,1,7]=>[3,4,5,6,2,1,7]
[6,2,5,4,3,7,1]=>[7,6,4,5,2,3,1]
[6,2,5,4,7,1,3]=>[7,6,1,5,2,4,3]
[6,2,5,4,7,3,1]=>[3,7,6,5,1,4,2]
[6,2,5,7,1,3,4]=>[7,6,1,3,2,5,4]
[6,2,5,7,1,4,3]=>[7,6,4,1,2,5,3]
[6,2,5,7,3,1,4]=>[3,7,6,2,1,5,4]
[6,2,5,7,3,4,1]=>[4,6,7,3,2,5,1]
[6,2,5,7,4,1,3]=>[4,7,2,6,1,5,3]
[6,2,5,7,4,3,1]=>[3,4,7,6,2,5,1]
[6,2,7,1,3,4,5]=>[7,6,1,3,4,2,5]
[6,2,7,1,3,5,4]=>[7,6,1,5,3,2,4]
[6,2,7,1,4,3,5]=>[7,6,4,1,3,2,5]
[6,2,7,1,4,5,3]=>[7,6,5,1,4,2,3]
[6,2,7,1,5,3,4]=>[7,6,5,3,1,2,4]
[6,2,7,1,5,4,3]=>[7,6,4,5,1,2,3]
[6,2,7,3,1,4,5]=>[3,7,6,2,4,1,5]
[6,2,7,3,1,5,4]=>[3,7,6,5,2,1,4]
[6,2,7,3,4,1,5]=>[4,6,7,3,1,2,5]
[6,2,7,3,4,5,1]=>[5,6,7,3,4,2,1]
[6,2,7,3,5,1,4]=>[5,6,7,1,3,2,4]
[6,2,7,3,5,4,1]=>[4,5,6,7,1,3,2]
[6,2,7,4,1,3,5]=>[4,7,2,6,3,1,5]
[6,2,7,4,1,5,3]=>[4,7,6,5,2,3,1]
[6,2,7,4,3,1,5]=>[3,4,7,6,1,2,5]
[6,2,7,4,3,5,1]=>[5,6,4,7,3,2,1]
[6,2,7,4,5,1,3]=>[5,6,1,7,4,2,3]
[6,2,7,4,5,3,1]=>[3,5,6,7,4,1,2]
[6,2,7,5,1,3,4]=>[5,7,2,3,6,1,4]
[6,2,7,5,1,4,3]=>[5,7,4,2,6,1,3]
[6,2,7,5,3,1,4]=>[3,5,7,1,6,2,4]
[6,2,7,5,3,4,1]=>[4,6,5,3,7,2,1]
[6,2,7,5,4,1,3]=>[4,5,1,7,6,2,3]
[6,2,7,5,4,3,1]=>[3,4,5,7,6,1,2]
[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[6,3,1,2,4,7,5]=>[3,1,6,2,7,4,5]
[6,3,1,2,5,4,7]=>[3,1,6,5,2,4,7]
[6,3,1,2,5,7,4]=>[3,1,6,7,2,5,4]
[6,3,1,2,7,4,5]=>[3,1,6,7,4,2,5]
[6,3,1,2,7,5,4]=>[3,1,6,5,7,2,4]
[6,3,1,4,2,5,7]=>[3,6,4,2,1,5,7]
[6,3,1,4,2,7,5]=>[3,6,4,2,7,1,5]
[6,3,1,4,5,2,7]=>[3,6,5,2,4,1,7]
[6,3,1,4,5,7,2]=>[3,6,7,2,4,5,1]
[6,3,1,4,7,2,5]=>[3,6,7,2,1,4,5]
[6,3,1,4,7,5,2]=>[3,6,5,2,7,4,1]
[6,3,1,5,2,4,7]=>[3,6,5,1,2,4,7]
[6,3,1,5,2,7,4]=>[3,6,5,7,2,1,4]
[6,3,1,5,4,2,7]=>[3,6,4,5,2,1,7]
[6,3,1,5,4,7,2]=>[3,6,7,5,2,4,1]
[6,3,1,5,7,2,4]=>[3,6,7,1,2,5,4]
[6,3,1,5,7,4,2]=>[3,6,4,7,2,5,1]
[6,3,1,7,2,4,5]=>[3,6,7,1,4,2,5]
[6,3,1,7,2,5,4]=>[3,6,7,5,1,2,4]
[6,3,1,7,4,2,5]=>[3,6,4,7,1,2,5]
[6,3,1,7,4,5,2]=>[3,6,5,7,4,2,1]
[6,3,1,7,5,2,4]=>[3,6,5,1,7,2,4]
[6,3,1,7,5,4,2]=>[3,6,4,5,7,2,1]
[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]
[6,3,2,1,4,7,5]=>[2,3,6,1,7,4,5]
[6,3,2,1,5,4,7]=>[2,3,6,5,1,4,7]
[6,3,2,1,5,7,4]=>[2,3,6,7,1,5,4]
[6,3,2,1,7,4,5]=>[2,3,6,7,4,1,5]
[6,3,2,1,7,5,4]=>[2,3,6,5,7,1,4]
[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]
[6,3,2,4,1,7,5]=>[4,3,6,2,7,1,5]
[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]
[6,3,2,4,7,1,5]=>[7,3,6,2,1,4,5]
[6,3,2,4,7,5,1]=>[5,3,7,1,6,4,2]
[6,3,2,5,1,4,7]=>[5,3,6,1,2,4,7]
[6,3,2,5,1,7,4]=>[5,3,6,7,2,1,4]
[6,3,2,5,4,1,7]=>[4,3,5,6,1,2,7]
[6,3,2,5,4,7,1]=>[7,3,6,5,2,4,1]
[6,3,2,5,7,1,4]=>[7,3,6,1,2,5,4]
[6,3,2,5,7,4,1]=>[4,3,7,6,1,5,2]
[6,3,2,7,1,4,5]=>[7,3,6,1,4,2,5]
[6,3,2,7,1,5,4]=>[7,3,6,5,1,2,4]
[6,3,2,7,4,1,5]=>[4,3,7,6,2,1,5]
[6,3,2,7,4,5,1]=>[5,3,6,7,4,2,1]
[6,3,2,7,5,1,4]=>[5,3,7,2,6,1,4]
[6,3,2,7,5,4,1]=>[4,3,5,7,6,2,1]
[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[6,3,4,1,2,7,5]=>[4,1,6,3,7,2,5]
[6,3,4,1,5,2,7]=>[4,5,6,3,1,2,7]
[6,3,4,1,5,7,2]=>[4,7,6,3,1,5,2]
[6,3,4,1,7,2,5]=>[4,7,6,3,2,1,5]
[6,3,4,1,7,5,2]=>[4,5,7,2,6,1,3]
[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]
[6,3,4,2,1,7,5]=>[2,4,6,3,7,1,5]
[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]
[6,3,4,2,5,7,1]=>[7,4,6,3,2,5,1]
[6,3,4,2,7,1,5]=>[7,4,6,3,1,2,5]
[6,3,4,2,7,5,1]=>[5,4,7,1,6,2,3]
[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]
[6,3,4,5,1,7,2]=>[5,7,6,3,4,1,2]
[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]
[6,3,4,5,2,7,1]=>[7,5,6,3,4,2,1]
[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]
[6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]
[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]
[6,3,4,7,1,5,2]=>[7,5,6,3,1,4,2]
[6,3,4,7,2,1,5]=>[2,7,6,3,1,4,5]
[6,3,4,7,2,5,1]=>[5,7,6,3,2,4,1]
[6,3,4,7,5,1,2]=>[5,1,7,2,6,4,3]
[6,3,4,7,5,2,1]=>[2,5,7,1,6,4,3]
[6,3,5,1,2,4,7]=>[5,1,6,2,3,4,7]
[6,3,5,1,2,7,4]=>[5,1,6,7,3,2,4]
[6,3,5,1,4,2,7]=>[5,4,6,1,3,2,7]
[6,3,5,1,4,7,2]=>[5,7,6,1,3,4,2]
[6,3,5,1,7,2,4]=>[5,7,6,2,3,1,4]
[6,3,5,1,7,4,2]=>[5,4,7,6,2,1,3]
[6,3,5,2,1,4,7]=>[2,5,6,1,3,4,7]
[6,3,5,2,1,7,4]=>[2,5,6,7,3,1,4]
[6,3,5,2,4,1,7]=>[4,5,6,2,3,1,7]
[6,3,5,2,4,7,1]=>[7,5,6,2,3,4,1]
[6,3,5,2,7,1,4]=>[7,5,6,1,3,2,4]
[6,3,5,2,7,4,1]=>[4,7,5,6,1,3,2]
[6,3,5,4,1,2,7]=>[4,1,5,6,2,3,7]
[6,3,5,4,1,7,2]=>[4,5,7,6,1,2,3]
[6,3,5,4,2,1,7]=>[2,4,5,6,1,3,7]
[6,3,5,4,2,7,1]=>[7,4,5,6,2,3,1]
[6,3,5,4,7,1,2]=>[7,1,6,5,3,4,2]
[6,3,5,4,7,2,1]=>[2,7,6,5,3,4,1]
[6,3,5,7,1,2,4]=>[7,1,6,2,3,5,4]
[6,3,5,7,1,4,2]=>[7,4,6,1,3,5,2]
[6,3,5,7,2,1,4]=>[2,7,6,1,3,5,4]
[6,3,5,7,2,4,1]=>[4,7,6,2,3,5,1]
[6,3,5,7,4,1,2]=>[4,1,7,6,2,5,3]
[6,3,5,7,4,2,1]=>[2,4,7,6,1,5,3]
[6,3,7,1,2,4,5]=>[7,1,6,2,4,3,5]
[6,3,7,1,2,5,4]=>[7,1,6,5,2,3,4]
[6,3,7,1,4,2,5]=>[7,4,6,1,2,3,5]
[6,3,7,1,4,5,2]=>[7,5,6,1,4,3,2]
[6,3,7,1,5,2,4]=>[7,5,6,2,1,3,4]
[6,3,7,1,5,4,2]=>[7,4,5,6,1,2,3]
[6,3,7,2,1,4,5]=>[2,7,6,1,4,3,5]
[6,3,7,2,1,5,4]=>[2,7,6,5,1,3,4]
[6,3,7,2,4,1,5]=>[4,7,6,2,1,3,5]
[6,3,7,2,4,5,1]=>[5,7,6,2,4,3,1]
[6,3,7,2,5,1,4]=>[5,7,6,1,2,3,4]
[6,3,7,2,5,4,1]=>[4,5,7,6,3,1,2]
[6,3,7,4,1,2,5]=>[4,1,7,6,3,2,5]
[6,3,7,4,1,5,2]=>[4,7,5,6,2,1,3]
[6,3,7,4,2,1,5]=>[2,4,7,6,3,1,5]
[6,3,7,4,2,5,1]=>[5,4,7,6,3,2,1]
[6,3,7,4,5,1,2]=>[5,1,6,7,4,3,2]
[6,3,7,4,5,2,1]=>[2,5,6,7,4,3,1]
[6,3,7,5,1,2,4]=>[5,1,7,3,6,2,4]
[6,3,7,5,1,4,2]=>[5,4,7,3,6,1,2]
[6,3,7,5,2,1,4]=>[2,5,7,3,6,1,4]
[6,3,7,5,2,4,1]=>[4,5,7,3,6,2,1]
[6,3,7,5,4,1,2]=>[4,1,5,7,6,3,2]
[6,3,7,5,4,2,1]=>[2,4,5,7,6,3,1]
[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[6,4,1,2,3,7,5]=>[4,1,2,6,7,3,5]
[6,4,1,2,5,3,7]=>[4,1,6,5,3,2,7]
[6,4,1,2,5,7,3]=>[4,1,6,7,3,5,2]
[6,4,1,2,7,3,5]=>[4,1,6,7,2,3,5]
[6,4,1,2,7,5,3]=>[4,1,6,5,7,3,2]
[6,4,1,3,2,5,7]=>[4,3,1,6,2,5,7]
[6,4,1,3,2,7,5]=>[4,3,1,6,7,2,5]
[6,4,1,3,5,2,7]=>[4,6,2,5,3,1,7]
[6,4,1,3,5,7,2]=>[4,6,2,7,3,5,1]
[6,4,1,3,7,2,5]=>[4,6,2,7,1,3,5]
[6,4,1,3,7,5,2]=>[4,6,2,5,7,3,1]
[6,4,1,5,2,3,7]=>[4,6,1,5,2,3,7]
[6,4,1,5,2,7,3]=>[4,6,5,7,2,3,1]
[6,4,1,5,3,2,7]=>[4,3,6,5,2,1,7]
[6,4,1,5,3,7,2]=>[4,6,7,5,2,1,3]
[6,4,1,5,7,2,3]=>[4,6,1,7,2,5,3]
[6,4,1,5,7,3,2]=>[4,3,6,7,2,5,1]
[6,4,1,7,2,3,5]=>[4,6,1,7,3,2,5]
[6,4,1,7,2,5,3]=>[4,6,7,5,3,2,1]
[6,4,1,7,3,2,5]=>[4,3,6,7,1,2,5]
[6,4,1,7,3,5,2]=>[4,6,5,7,1,2,3]
[6,4,1,7,5,2,3]=>[4,6,1,5,7,2,3]
[6,4,1,7,5,3,2]=>[4,3,6,5,7,2,1]
[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[6,4,2,1,3,7,5]=>[2,4,1,6,7,3,5]
[6,4,2,1,5,3,7]=>[2,4,6,5,3,1,7]
[6,4,2,1,5,7,3]=>[2,4,6,7,3,5,1]
[6,4,2,1,7,3,5]=>[2,4,6,7,1,3,5]
[6,4,2,1,7,5,3]=>[2,4,6,5,7,3,1]
[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]
[6,4,2,3,1,7,5]=>[3,4,2,6,7,1,5]
[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]
[6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]
[6,4,2,3,7,1,5]=>[7,4,2,6,1,3,5]
[6,4,2,3,7,5,1]=>[5,4,1,7,6,3,2]
[6,4,2,5,1,3,7]=>[5,4,1,6,2,3,7]
[6,4,2,5,1,7,3]=>[5,4,6,7,3,1,2]
[6,4,2,5,3,1,7]=>[3,5,4,6,1,2,7]
[6,4,2,5,3,7,1]=>[7,4,6,5,3,2,1]
[6,4,2,5,7,1,3]=>[7,4,1,6,2,5,3]
[6,4,2,5,7,3,1]=>[3,7,4,6,1,5,2]
[6,4,2,7,1,3,5]=>[7,4,1,6,3,2,5]
[6,4,2,7,1,5,3]=>[7,4,6,5,1,3,2]
[6,4,2,7,3,1,5]=>[3,7,4,6,2,1,5]
[6,4,2,7,3,5,1]=>[5,4,6,7,2,3,1]
[6,4,2,7,5,1,3]=>[5,4,2,7,6,1,3]
[6,4,2,7,5,3,1]=>[3,5,4,7,6,2,1]
[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]
[6,4,3,1,2,7,5]=>[3,1,4,6,7,2,5]
[6,4,3,1,5,2,7]=>[3,4,6,5,1,2,7]
[6,4,3,1,5,7,2]=>[3,4,6,7,1,5,2]
[6,4,3,1,7,2,5]=>[3,4,6,7,2,1,5]
[6,4,3,1,7,5,2]=>[3,4,6,5,7,1,2]
[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]
[6,4,3,2,1,7,5]=>[2,3,4,6,7,1,5]
[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]
[6,4,3,2,7,1,5]=>[7,3,4,6,1,2,5]
[6,4,3,2,7,5,1]=>[5,3,4,7,6,1,2]
[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]
[6,4,3,5,1,7,2]=>[5,7,4,6,3,1,2]
[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]
[6,4,3,5,2,7,1]=>[7,5,4,6,3,2,1]
[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]
[6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]
[6,4,3,7,1,2,5]=>[7,1,4,6,2,3,5]
[6,4,3,7,1,5,2]=>[7,5,4,6,1,3,2]
[6,4,3,7,2,1,5]=>[2,7,4,6,1,3,5]
[6,4,3,7,2,5,1]=>[5,7,4,6,2,3,1]
[6,4,3,7,5,1,2]=>[5,1,4,7,6,2,3]
[6,4,3,7,5,2,1]=>[2,5,4,7,6,1,3]
[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]
[6,4,5,1,2,7,3]=>[5,1,7,6,4,2,3]
[6,4,5,1,3,2,7]=>[5,3,1,6,4,2,7]
[6,4,5,1,3,7,2]=>[5,7,1,6,4,3,2]
[6,4,5,1,7,2,3]=>[5,7,2,6,4,1,3]
[6,4,5,1,7,3,2]=>[5,3,7,6,4,1,2]
[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]
[6,4,5,2,1,7,3]=>[2,5,7,6,4,1,3]
[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]
[6,4,5,2,3,7,1]=>[7,5,2,6,4,3,1]
[6,4,5,2,7,1,3]=>[7,5,1,6,4,2,3]
[6,4,5,2,7,3,1]=>[3,7,5,6,4,1,2]
[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]
[6,4,5,3,1,7,2]=>[3,5,7,6,4,2,1]
[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]
[6,4,5,3,2,7,1]=>[7,3,5,6,4,2,1]
[6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]
[6,4,5,3,7,2,1]=>[2,7,5,6,4,3,1]
[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]
[6,4,5,7,1,3,2]=>[7,3,1,6,4,5,2]
[6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]
[6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1]
[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]
[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]
[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]
[6,4,7,1,2,5,3]=>[7,1,5,6,2,4,3]
[6,4,7,1,3,2,5]=>[7,3,1,6,2,4,5]
[6,4,7,1,3,5,2]=>[7,5,1,6,3,4,2]
[6,4,7,1,5,2,3]=>[7,5,2,6,1,4,3]
[6,4,7,1,5,3,2]=>[7,3,5,6,1,4,2]
[6,4,7,2,1,3,5]=>[2,7,1,6,3,4,5]
[6,4,7,2,1,5,3]=>[2,7,5,6,1,4,3]
[6,4,7,2,3,1,5]=>[3,7,2,6,1,4,5]
[6,4,7,2,3,5,1]=>[5,7,2,6,3,4,1]
[6,4,7,2,5,1,3]=>[5,7,1,6,2,4,3]
[6,4,7,2,5,3,1]=>[3,5,7,6,1,4,2]
[6,4,7,3,1,2,5]=>[3,1,7,6,2,4,5]
[6,4,7,3,1,5,2]=>[3,7,5,6,2,4,1]
[6,4,7,3,2,1,5]=>[2,3,7,6,1,4,5]
[6,4,7,3,2,5,1]=>[5,3,7,6,2,4,1]
[6,4,7,3,5,1,2]=>[5,1,7,6,3,4,2]
[6,4,7,3,5,2,1]=>[2,5,7,6,3,4,1]
[6,4,7,5,1,2,3]=>[5,1,2,7,6,3,4]
[6,4,7,5,1,3,2]=>[5,3,1,7,6,2,4]
[6,4,7,5,2,1,3]=>[2,5,1,7,6,3,4]
[6,4,7,5,2,3,1]=>[3,5,2,7,6,1,4]
[6,4,7,5,3,1,2]=>[3,1,5,7,6,2,4]
[6,4,7,5,3,2,1]=>[2,3,5,7,6,1,4]
[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[6,5,1,2,3,7,4]=>[5,1,2,6,7,4,3]
[6,5,1,2,4,3,7]=>[5,1,4,2,6,3,7]
[6,5,1,2,4,7,3]=>[5,1,6,3,7,4,2]
[6,5,1,2,7,3,4]=>[5,1,6,2,7,3,4]
[6,5,1,2,7,4,3]=>[5,1,4,6,7,3,2]
[6,5,1,3,2,4,7]=>[5,3,1,2,6,4,7]
[6,5,1,3,2,7,4]=>[5,3,1,6,7,4,2]
[6,5,1,3,4,2,7]=>[5,4,1,3,6,2,7]
[6,5,1,3,4,7,2]=>[5,6,2,3,7,4,1]
[6,5,1,3,7,2,4]=>[5,6,2,1,7,3,4]
[6,5,1,3,7,4,2]=>[5,4,2,6,7,3,1]
[6,5,1,4,2,3,7]=>[5,4,2,1,6,3,7]
[6,5,1,4,2,7,3]=>[5,4,6,3,7,2,1]
[6,5,1,4,3,2,7]=>[5,3,4,1,6,2,7]
[6,5,1,4,3,7,2]=>[5,6,4,2,7,3,1]
[6,5,1,4,7,2,3]=>[5,6,1,2,7,4,3]
[6,5,1,4,7,3,2]=>[5,3,6,2,7,4,1]
[6,5,1,7,2,3,4]=>[5,6,1,3,7,2,4]
[6,5,1,7,2,4,3]=>[5,6,4,1,7,2,3]
[6,5,1,7,3,2,4]=>[5,3,6,1,7,2,4]
[6,5,1,7,3,4,2]=>[5,4,6,1,7,3,2]
[6,5,1,7,4,2,3]=>[5,4,1,6,7,2,3]
[6,5,1,7,4,3,2]=>[5,3,4,6,7,2,1]
[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]
[6,5,2,1,3,7,4]=>[2,5,1,6,7,4,3]
[6,5,2,1,4,3,7]=>[2,5,4,1,6,3,7]
[6,5,2,1,4,7,3]=>[2,5,6,3,7,4,1]
[6,5,2,1,7,3,4]=>[2,5,6,1,7,3,4]
[6,5,2,1,7,4,3]=>[2,5,4,6,7,3,1]
[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]
[6,5,2,3,1,7,4]=>[3,5,2,6,7,4,1]
[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]
[6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]
[6,5,2,3,7,1,4]=>[7,5,2,1,6,3,4]
[6,5,2,3,7,4,1]=>[4,7,1,5,6,3,2]
[6,5,2,4,1,3,7]=>[4,5,1,2,6,3,7]
[6,5,2,4,1,7,3]=>[4,5,6,3,7,1,2]
[6,5,2,4,3,1,7]=>[3,4,5,1,6,2,7]
[6,5,2,4,3,7,1]=>[7,5,4,2,6,3,1]
[6,5,2,4,7,1,3]=>[7,5,1,2,6,4,3]
[6,5,2,4,7,3,1]=>[3,7,5,1,6,4,2]
[6,5,2,7,1,3,4]=>[7,5,1,3,6,2,4]
[6,5,2,7,1,4,3]=>[7,5,4,1,6,2,3]
[6,5,2,7,3,1,4]=>[3,7,5,2,6,1,4]
[6,5,2,7,3,4,1]=>[4,5,6,2,7,3,1]
[6,5,2,7,4,1,3]=>[4,7,2,5,6,1,3]
[6,5,2,7,4,3,1]=>[3,4,7,5,6,2,1]
[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]
[6,5,3,1,2,7,4]=>[3,1,5,6,7,4,2]
[6,5,3,1,4,2,7]=>[3,5,4,2,6,1,7]
[6,5,3,1,4,7,2]=>[3,5,6,1,7,4,2]
[6,5,3,1,7,2,4]=>[3,5,6,2,7,1,4]
[6,5,3,1,7,4,2]=>[3,5,4,6,7,1,2]
[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]
[6,5,3,2,1,7,4]=>[2,3,5,6,7,4,1]
[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]
[6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]
[6,5,3,2,7,1,4]=>[7,3,5,1,6,2,4]
[6,5,3,2,7,4,1]=>[4,3,7,5,6,1,2]
[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]
[6,5,3,4,1,7,2]=>[4,7,5,3,6,1,2]
[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[6,5,3,4,2,7,1]=>[7,4,5,3,6,2,1]
[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]
[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]
[6,5,3,7,1,2,4]=>[7,1,5,2,6,3,4]
[6,5,3,7,1,4,2]=>[7,4,5,1,6,3,2]
[6,5,3,7,2,1,4]=>[2,7,5,1,6,3,4]
[6,5,3,7,2,4,1]=>[4,7,5,2,6,3,1]
[6,5,3,7,4,1,2]=>[4,1,7,5,6,2,3]
[6,5,3,7,4,2,1]=>[2,4,7,5,6,1,3]
[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]
[6,5,4,1,2,7,3]=>[4,1,5,6,7,2,3]
[6,5,4,1,3,2,7]=>[4,3,1,5,6,2,7]
[6,5,4,1,3,7,2]=>[4,5,1,6,7,3,2]
[6,5,4,1,7,2,3]=>[4,5,2,6,7,1,3]
[6,5,4,1,7,3,2]=>[4,3,5,6,7,1,2]
[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]
[6,5,4,2,1,7,3]=>[2,4,5,6,7,1,3]
[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]
[6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]
[6,5,4,2,7,1,3]=>[7,4,1,5,6,2,3]
[6,5,4,2,7,3,1]=>[3,7,4,5,6,1,2]
[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]
[6,5,4,3,1,7,2]=>[3,4,5,6,7,2,1]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]
[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]
[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]
[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]
[6,5,4,7,1,3,2]=>[7,3,1,5,6,4,2]
[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]
[6,5,4,7,2,3,1]=>[3,7,2,5,6,4,1]
[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]
[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]
[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]
[6,5,7,1,2,4,3]=>[7,1,4,2,6,5,3]
[6,5,7,1,3,2,4]=>[7,3,1,2,6,5,4]
[6,5,7,1,3,4,2]=>[7,4,1,3,6,5,2]
[6,5,7,1,4,2,3]=>[7,4,2,1,6,5,3]
[6,5,7,1,4,3,2]=>[7,3,4,1,6,5,2]
[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]
[6,5,7,2,1,4,3]=>[2,7,4,1,6,5,3]
[6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]
[6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1]
[6,5,7,2,4,1,3]=>[4,7,1,2,6,5,3]
[6,5,7,2,4,3,1]=>[3,4,7,1,6,5,2]
[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]
[6,5,7,3,1,4,2]=>[3,7,4,2,6,5,1]
[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]
[6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1]
[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]
[6,5,7,3,4,2,1]=>[2,4,7,3,6,5,1]
[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]
[6,5,7,4,1,3,2]=>[4,3,1,7,6,5,2]
[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]
[6,5,7,4,2,3,1]=>[3,4,2,7,6,5,1]
[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]
[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]
[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[6,7,1,2,3,5,4]=>[7,1,2,5,3,6,4]
[6,7,1,2,4,3,5]=>[7,1,4,2,3,6,5]
[6,7,1,2,4,5,3]=>[7,1,5,2,4,6,3]
[6,7,1,2,5,3,4]=>[7,1,5,3,2,6,4]
[6,7,1,2,5,4,3]=>[7,1,4,5,2,6,3]
[6,7,1,3,2,4,5]=>[7,3,1,2,4,6,5]
[6,7,1,3,2,5,4]=>[7,3,1,5,2,6,4]
[6,7,1,3,4,2,5]=>[7,4,1,3,2,6,5]
[6,7,1,3,4,5,2]=>[7,5,1,3,4,6,2]
[6,7,1,3,5,2,4]=>[7,5,1,2,3,6,4]
[6,7,1,3,5,4,2]=>[7,4,1,5,3,6,2]
[6,7,1,4,2,3,5]=>[7,4,2,1,3,6,5]
[6,7,1,4,2,5,3]=>[7,4,5,1,2,6,3]
[6,7,1,4,3,2,5]=>[7,3,4,1,2,6,5]
[6,7,1,4,3,5,2]=>[7,5,4,1,3,6,2]
[6,7,1,4,5,2,3]=>[7,5,2,1,4,6,3]
[6,7,1,4,5,3,2]=>[7,3,5,1,4,6,2]
[6,7,1,5,2,3,4]=>[7,5,2,3,1,6,4]
[6,7,1,5,2,4,3]=>[7,5,4,2,1,6,3]
[6,7,1,5,3,2,4]=>[7,3,5,2,1,6,4]
[6,7,1,5,3,4,2]=>[7,4,5,3,1,6,2]
[6,7,1,5,4,2,3]=>[7,4,2,5,1,6,3]
[6,7,1,5,4,3,2]=>[7,3,4,5,1,6,2]
[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]
[6,7,2,1,3,5,4]=>[2,7,1,5,3,6,4]
[6,7,2,1,4,3,5]=>[2,7,4,1,3,6,5]
[6,7,2,1,4,5,3]=>[2,7,5,1,4,6,3]
[6,7,2,1,5,3,4]=>[2,7,5,3,1,6,4]
[6,7,2,1,5,4,3]=>[2,7,4,5,1,6,3]
[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]
[6,7,2,3,1,5,4]=>[3,7,2,5,1,6,4]
[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]
[6,7,2,3,4,5,1]=>[5,7,2,3,4,6,1]
[6,7,2,3,5,1,4]=>[5,7,2,1,3,6,4]
[6,7,2,3,5,4,1]=>[4,5,1,7,3,6,2]
[6,7,2,4,1,3,5]=>[4,7,1,2,3,6,5]
[6,7,2,4,1,5,3]=>[4,7,5,2,1,6,3]
[6,7,2,4,3,1,5]=>[3,4,7,1,2,6,5]
[6,7,2,4,3,5,1]=>[5,7,4,2,3,6,1]
[6,7,2,4,5,1,3]=>[5,7,1,2,4,6,3]
[6,7,2,4,5,3,1]=>[3,5,7,1,4,6,2]
[6,7,2,5,1,3,4]=>[5,7,1,3,2,6,4]
[6,7,2,5,1,4,3]=>[5,7,4,1,2,6,3]
[6,7,2,5,3,1,4]=>[3,5,7,2,1,6,4]
[6,7,2,5,3,4,1]=>[4,7,5,3,2,6,1]
[6,7,2,5,4,1,3]=>[4,5,2,7,1,6,3]
[6,7,2,5,4,3,1]=>[3,4,5,7,2,6,1]
[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]
[6,7,3,1,2,5,4]=>[3,1,7,5,2,6,4]
[6,7,3,1,4,2,5]=>[3,7,4,2,1,6,5]
[6,7,3,1,4,5,2]=>[3,7,5,2,4,6,1]
[6,7,3,1,5,2,4]=>[3,7,5,1,2,6,4]
[6,7,3,1,5,4,2]=>[3,7,4,5,2,6,1]
[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]
[6,7,3,2,1,5,4]=>[2,3,7,5,1,6,4]
[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]
[6,7,3,2,4,5,1]=>[5,3,7,2,4,6,1]
[6,7,3,2,5,1,4]=>[5,3,7,1,2,6,4]
[6,7,3,2,5,4,1]=>[4,3,5,7,1,6,2]
[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]
[6,7,3,4,1,5,2]=>[4,5,7,3,1,6,2]
[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]
[6,7,3,4,2,5,1]=>[5,4,7,3,2,6,1]
[6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]
[6,7,3,4,5,2,1]=>[2,5,7,3,4,6,1]
[6,7,3,5,1,2,4]=>[5,1,7,2,3,6,4]
[6,7,3,5,1,4,2]=>[5,4,7,1,3,6,2]
[6,7,3,5,2,1,4]=>[2,5,7,1,3,6,4]
[6,7,3,5,2,4,1]=>[4,5,7,2,3,6,1]
[6,7,3,5,4,1,2]=>[4,1,5,7,2,6,3]
[6,7,3,5,4,2,1]=>[2,4,5,7,1,6,3]
[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]
[6,7,4,1,2,5,3]=>[4,1,7,5,3,6,2]
[6,7,4,1,3,2,5]=>[4,3,1,7,2,6,5]
[6,7,4,1,3,5,2]=>[4,7,2,5,3,6,1]
[6,7,4,1,5,2,3]=>[4,7,1,5,2,6,3]
[6,7,4,1,5,3,2]=>[4,3,7,5,2,6,1]
[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]
[6,7,4,2,1,5,3]=>[2,4,7,5,3,6,1]
[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]
[6,7,4,2,3,5,1]=>[5,4,2,7,3,6,1]
[6,7,4,2,5,1,3]=>[5,4,1,7,2,6,3]
[6,7,4,2,5,3,1]=>[3,5,4,7,1,6,2]
[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]
[6,7,4,3,1,5,2]=>[3,4,7,5,1,6,2]
[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]
[6,7,4,3,2,5,1]=>[5,3,4,7,2,6,1]
[6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]
[6,7,4,3,5,2,1]=>[2,5,4,7,3,6,1]
[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]
[6,7,4,5,1,3,2]=>[5,3,1,7,4,6,2]
[6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]
[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1]
[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]
[6,7,4,5,3,2,1]=>[2,3,5,7,4,6,1]
[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]
[6,7,5,1,2,4,3]=>[5,1,4,2,7,6,3]
[6,7,5,1,3,2,4]=>[5,3,1,2,7,6,4]
[6,7,5,1,3,4,2]=>[5,4,1,3,7,6,2]
[6,7,5,1,4,2,3]=>[5,4,2,1,7,6,3]
[6,7,5,1,4,3,2]=>[5,3,4,1,7,6,2]
[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]
[6,7,5,2,1,4,3]=>[2,5,4,1,7,6,3]
[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]
[6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1]
[6,7,5,2,4,1,3]=>[4,5,1,2,7,6,3]
[6,7,5,2,4,3,1]=>[3,4,5,1,7,6,2]
[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]
[6,7,5,3,1,4,2]=>[3,5,4,2,7,6,1]
[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]
[6,7,5,3,2,4,1]=>[4,3,5,2,7,6,1]
[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]
[6,7,5,3,4,2,1]=>[2,4,5,3,7,6,1]
[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]
[6,7,5,4,1,3,2]=>[4,3,1,5,7,6,2]
[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]
[6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1]
[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]
[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[7,1,2,3,4,6,5]=>[7,1,2,3,6,4,5]
[7,1,2,3,5,4,6]=>[7,1,2,5,3,4,6]
[7,1,2,3,5,6,4]=>[7,1,2,6,3,5,4]
[7,1,2,3,6,4,5]=>[7,1,2,6,4,3,5]
[7,1,2,3,6,5,4]=>[7,1,2,5,6,3,4]
[7,1,2,4,3,5,6]=>[7,1,4,2,3,5,6]
[7,1,2,4,3,6,5]=>[7,1,4,2,6,3,5]
[7,1,2,4,5,3,6]=>[7,1,5,2,4,3,6]
[7,1,2,4,5,6,3]=>[7,1,6,2,4,5,3]
[7,1,2,4,6,3,5]=>[7,1,6,2,3,4,5]
[7,1,2,4,6,5,3]=>[7,1,5,2,6,4,3]
[7,1,2,5,3,4,6]=>[7,1,5,3,2,4,6]
[7,1,2,5,3,6,4]=>[7,1,5,6,2,3,4]
[7,1,2,5,4,3,6]=>[7,1,4,5,2,3,6]
[7,1,2,5,4,6,3]=>[7,1,6,5,2,4,3]
[7,1,2,5,6,3,4]=>[7,1,6,3,2,5,4]
[7,1,2,5,6,4,3]=>[7,1,4,6,2,5,3]
[7,1,2,6,3,4,5]=>[7,1,6,3,4,2,5]
[7,1,2,6,3,5,4]=>[7,1,6,5,3,2,4]
[7,1,2,6,4,3,5]=>[7,1,4,6,3,2,5]
[7,1,2,6,4,5,3]=>[7,1,5,6,4,2,3]
[7,1,2,6,5,3,4]=>[7,1,5,3,6,2,4]
[7,1,2,6,5,4,3]=>[7,1,4,5,6,2,3]
[7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6]
[7,1,3,2,4,6,5]=>[7,3,1,2,6,4,5]
[7,1,3,2,5,4,6]=>[7,3,1,5,2,4,6]
[7,1,3,2,5,6,4]=>[7,3,1,6,2,5,4]
[7,1,3,2,6,4,5]=>[7,3,1,6,4,2,5]
[7,1,3,2,6,5,4]=>[7,3,1,5,6,2,4]
[7,1,3,4,2,5,6]=>[7,4,1,3,2,5,6]
[7,1,3,4,2,6,5]=>[7,4,1,3,6,2,5]
[7,1,3,4,5,2,6]=>[7,5,1,3,4,2,6]
[7,1,3,4,5,6,2]=>[7,6,1,3,4,5,2]
[7,1,3,4,6,2,5]=>[7,6,1,3,2,4,5]
[7,1,3,4,6,5,2]=>[7,5,1,3,6,4,2]
[7,1,3,5,2,4,6]=>[7,5,1,2,3,4,6]
[7,1,3,5,2,6,4]=>[7,5,1,6,3,2,4]
[7,1,3,5,4,2,6]=>[7,4,1,5,3,2,6]
[7,1,3,5,4,6,2]=>[7,6,1,5,3,4,2]
[7,1,3,5,6,2,4]=>[7,6,1,2,3,5,4]
[7,1,3,5,6,4,2]=>[7,4,1,6,3,5,2]
[7,1,3,6,2,4,5]=>[7,6,1,2,4,3,5]
[7,1,3,6,2,5,4]=>[7,6,1,5,2,3,4]
[7,1,3,6,4,2,5]=>[7,4,1,6,2,3,5]
[7,1,3,6,4,5,2]=>[7,5,1,6,4,3,2]
[7,1,3,6,5,2,4]=>[7,5,1,2,6,3,4]
[7,1,3,6,5,4,2]=>[7,4,1,5,6,3,2]
[7,1,4,2,3,5,6]=>[7,4,2,1,3,5,6]
[7,1,4,2,3,6,5]=>[7,4,2,1,6,3,5]
[7,1,4,2,5,3,6]=>[7,4,5,1,2,3,6]
[7,1,4,2,5,6,3]=>[7,4,6,1,2,5,3]
[7,1,4,2,6,3,5]=>[7,4,6,1,3,2,5]
[7,1,4,2,6,5,3]=>[7,4,5,1,6,2,3]
[7,1,4,3,2,5,6]=>[7,3,4,1,2,5,6]
[7,1,4,3,2,6,5]=>[7,3,4,1,6,2,5]
[7,1,4,3,5,2,6]=>[7,5,4,1,3,2,6]
[7,1,4,3,5,6,2]=>[7,6,4,1,3,5,2]
[7,1,4,3,6,2,5]=>[7,6,4,1,2,3,5]
[7,1,4,3,6,5,2]=>[7,5,4,1,6,3,2]
[7,1,4,5,2,3,6]=>[7,5,2,1,4,3,6]
[7,1,4,5,2,6,3]=>[7,5,6,1,4,2,3]
[7,1,4,5,3,2,6]=>[7,3,5,1,4,2,6]
[7,1,4,5,3,6,2]=>[7,6,5,1,4,3,2]
[7,1,4,5,6,2,3]=>[7,6,2,1,4,5,3]
[7,1,4,5,6,3,2]=>[7,3,6,1,4,5,2]
[7,1,4,6,2,3,5]=>[7,6,2,1,3,4,5]
[7,1,4,6,2,5,3]=>[7,6,5,1,2,4,3]
[7,1,4,6,3,2,5]=>[7,3,6,1,2,4,5]
[7,1,4,6,3,5,2]=>[7,5,6,1,3,4,2]
[7,1,4,6,5,2,3]=>[7,5,2,1,6,4,3]
[7,1,4,6,5,3,2]=>[7,3,5,1,6,4,2]
[7,1,5,2,3,4,6]=>[7,5,2,3,1,4,6]
[7,1,5,2,3,6,4]=>[7,5,2,6,1,3,4]
[7,1,5,2,4,3,6]=>[7,5,4,2,1,3,6]
[7,1,5,2,4,6,3]=>[7,5,6,2,1,4,3]
[7,1,5,2,6,3,4]=>[7,5,6,3,1,2,4]
[7,1,5,2,6,4,3]=>[7,5,4,6,1,2,3]
[7,1,5,3,2,4,6]=>[7,3,5,2,1,4,6]
[7,1,5,3,2,6,4]=>[7,3,5,6,1,2,4]
[7,1,5,3,4,2,6]=>[7,4,5,3,1,2,6]
[7,1,5,3,4,6,2]=>[7,6,5,3,1,4,2]
[7,1,5,3,6,2,4]=>[7,6,5,2,1,3,4]
[7,1,5,3,6,4,2]=>[7,4,6,5,1,2,3]
[7,1,5,4,2,3,6]=>[7,4,2,5,1,3,6]
[7,1,5,4,2,6,3]=>[7,4,5,6,1,3,2]
[7,1,5,4,3,2,6]=>[7,3,4,5,1,2,6]
[7,1,5,4,3,6,2]=>[7,6,4,5,1,3,2]
[7,1,5,4,6,2,3]=>[7,6,2,5,1,4,3]
[7,1,5,4,6,3,2]=>[7,3,6,5,1,4,2]
[7,1,5,6,2,3,4]=>[7,6,2,3,1,5,4]
[7,1,5,6,2,4,3]=>[7,6,4,2,1,5,3]
[7,1,5,6,3,2,4]=>[7,3,6,2,1,5,4]
[7,1,5,6,3,4,2]=>[7,4,6,3,1,5,2]
[7,1,5,6,4,2,3]=>[7,4,2,6,1,5,3]
[7,1,5,6,4,3,2]=>[7,3,4,6,1,5,2]
[7,1,6,2,3,4,5]=>[7,6,2,3,4,1,5]
[7,1,6,2,3,5,4]=>[7,6,2,5,3,1,4]
[7,1,6,2,4,3,5]=>[7,6,4,2,3,1,5]
[7,1,6,2,4,5,3]=>[7,6,5,2,4,1,3]
[7,1,6,2,5,3,4]=>[7,6,5,3,2,1,4]
[7,1,6,2,5,4,3]=>[7,6,4,5,2,1,3]
[7,1,6,3,2,4,5]=>[7,3,6,2,4,1,5]
[7,1,6,3,2,5,4]=>[7,3,6,5,2,1,4]
[7,1,6,3,4,2,5]=>[7,4,6,3,2,1,5]
[7,1,6,3,4,5,2]=>[7,5,6,3,4,1,2]
[7,1,6,3,5,2,4]=>[7,5,6,2,3,1,4]
[7,1,6,3,5,4,2]=>[7,4,5,6,2,1,3]
[7,1,6,4,2,3,5]=>[7,4,2,6,3,1,5]
[7,1,6,4,2,5,3]=>[7,4,6,5,3,1,2]
[7,1,6,4,3,2,5]=>[7,3,4,6,2,1,5]
[7,1,6,4,3,5,2]=>[7,5,4,6,3,1,2]
[7,1,6,4,5,2,3]=>[7,5,2,6,4,1,3]
[7,1,6,4,5,3,2]=>[7,3,5,6,4,1,2]
[7,1,6,5,2,3,4]=>[7,5,2,3,6,1,4]
[7,1,6,5,2,4,3]=>[7,5,4,2,6,1,3]
[7,1,6,5,3,2,4]=>[7,3,5,2,6,1,4]
[7,1,6,5,3,4,2]=>[7,4,5,3,6,1,2]
[7,1,6,5,4,2,3]=>[7,4,2,5,6,1,3]
[7,1,6,5,4,3,2]=>[7,3,4,5,6,1,2]
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[7,2,1,3,4,6,5]=>[2,7,1,3,6,4,5]
[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]
[7,2,1,3,5,6,4]=>[2,7,1,6,3,5,4]
[7,2,1,3,6,4,5]=>[2,7,1,6,4,3,5]
[7,2,1,3,6,5,4]=>[2,7,1,5,6,3,4]
[7,2,1,4,3,5,6]=>[2,7,4,1,3,5,6]
[7,2,1,4,3,6,5]=>[2,7,4,1,6,3,5]
[7,2,1,4,5,3,6]=>[2,7,5,1,4,3,6]
[7,2,1,4,5,6,3]=>[2,7,6,1,4,5,3]
[7,2,1,4,6,3,5]=>[2,7,6,1,3,4,5]
[7,2,1,4,6,5,3]=>[2,7,5,1,6,4,3]
[7,2,1,5,3,4,6]=>[2,7,5,3,1,4,6]
[7,2,1,5,3,6,4]=>[2,7,5,6,1,3,4]
[7,2,1,5,4,3,6]=>[2,7,4,5,1,3,6]
[7,2,1,5,4,6,3]=>[2,7,6,5,1,4,3]
[7,2,1,5,6,3,4]=>[2,7,6,3,1,5,4]
[7,2,1,5,6,4,3]=>[2,7,4,6,1,5,3]
[7,2,1,6,3,4,5]=>[2,7,6,3,4,1,5]
[7,2,1,6,3,5,4]=>[2,7,6,5,3,1,4]
[7,2,1,6,4,3,5]=>[2,7,4,6,3,1,5]
[7,2,1,6,4,5,3]=>[2,7,5,6,4,1,3]
[7,2,1,6,5,3,4]=>[2,7,5,3,6,1,4]
[7,2,1,6,5,4,3]=>[2,7,4,5,6,1,3]
[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]
[7,2,3,1,4,6,5]=>[3,7,2,1,6,4,5]
[7,2,3,1,5,4,6]=>[3,7,2,5,1,4,6]
[7,2,3,1,5,6,4]=>[3,7,2,6,1,5,4]
[7,2,3,1,6,4,5]=>[3,7,2,6,4,1,5]
[7,2,3,1,6,5,4]=>[3,7,2,5,6,1,4]
[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]
[7,2,3,4,1,6,5]=>[4,7,2,3,6,1,5]
[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]
[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]
[7,2,3,4,6,1,5]=>[6,7,2,3,1,4,5]
[7,2,3,4,6,5,1]=>[5,6,1,3,7,4,2]
[7,2,3,5,1,4,6]=>[5,7,2,1,3,4,6]
[7,2,3,5,1,6,4]=>[5,7,2,6,3,1,4]
[7,2,3,5,4,1,6]=>[4,5,1,7,3,2,6]
[7,2,3,5,4,6,1]=>[6,7,2,5,3,4,1]
[7,2,3,5,6,1,4]=>[6,7,2,1,3,5,4]
[7,2,3,5,6,4,1]=>[4,6,1,7,3,5,2]
[7,2,3,6,1,4,5]=>[6,7,2,1,4,3,5]
[7,2,3,6,1,5,4]=>[6,7,2,5,1,3,4]
[7,2,3,6,4,1,5]=>[4,6,1,7,2,3,5]
[7,2,3,6,4,5,1]=>[5,7,2,6,4,3,1]
[7,2,3,6,5,1,4]=>[5,6,1,2,7,3,4]
[7,2,3,6,5,4,1]=>[4,5,2,6,7,3,1]
[7,2,4,1,3,5,6]=>[4,7,1,2,3,5,6]
[7,2,4,1,3,6,5]=>[4,7,1,2,6,3,5]
[7,2,4,1,5,3,6]=>[4,7,5,2,1,3,6]
[7,2,4,1,5,6,3]=>[4,7,6,2,1,5,3]
[7,2,4,1,6,3,5]=>[4,7,6,2,3,1,5]
[7,2,4,1,6,5,3]=>[4,7,5,2,6,1,3]
[7,2,4,3,1,5,6]=>[3,4,7,1,2,5,6]
[7,2,4,3,1,6,5]=>[3,4,7,1,6,2,5]
[7,2,4,3,5,1,6]=>[5,7,4,2,3,1,6]
[7,2,4,3,5,6,1]=>[6,7,4,2,3,5,1]
[7,2,4,3,6,1,5]=>[6,7,4,2,1,3,5]
[7,2,4,3,6,5,1]=>[5,6,4,1,7,3,2]
[7,2,4,5,1,3,6]=>[5,7,1,2,4,3,6]
[7,2,4,5,1,6,3]=>[5,7,6,2,4,1,3]
[7,2,4,5,3,1,6]=>[3,5,7,1,4,2,6]
[7,2,4,5,3,6,1]=>[6,7,5,2,4,3,1]
[7,2,4,5,6,1,3]=>[6,7,1,2,4,5,3]
[7,2,4,5,6,3,1]=>[3,6,7,1,4,5,2]
[7,2,4,6,1,3,5]=>[6,7,1,2,3,4,5]
[7,2,4,6,1,5,3]=>[6,7,5,2,1,4,3]
[7,2,4,6,3,1,5]=>[3,6,7,1,2,4,5]
[7,2,4,6,3,5,1]=>[5,7,6,2,3,4,1]
[7,2,4,6,5,1,3]=>[5,6,2,1,7,4,3]
[7,2,4,6,5,3,1]=>[3,5,6,2,7,4,1]
[7,2,5,1,3,4,6]=>[5,7,1,3,2,4,6]
[7,2,5,1,3,6,4]=>[5,7,1,6,2,3,4]
[7,2,5,1,4,3,6]=>[5,7,4,1,2,3,6]
[7,2,5,1,4,6,3]=>[5,7,6,1,2,4,3]
[7,2,5,1,6,3,4]=>[5,7,6,3,2,1,4]
[7,2,5,1,6,4,3]=>[5,7,4,6,2,1,3]
[7,2,5,3,1,4,6]=>[3,5,7,2,1,4,6]
[7,2,5,3,1,6,4]=>[3,5,7,6,1,2,4]
[7,2,5,3,4,1,6]=>[4,7,5,3,2,1,6]
[7,2,5,3,4,6,1]=>[6,7,5,3,2,4,1]
[7,2,5,3,6,1,4]=>[6,7,5,1,2,3,4]
[7,2,5,3,6,4,1]=>[4,6,7,5,3,1,2]
[7,2,5,4,1,3,6]=>[4,5,2,7,1,3,6]
[7,2,5,4,1,6,3]=>[4,5,7,6,3,2,1]
[7,2,5,4,3,1,6]=>[3,4,5,7,2,1,6]
[7,2,5,4,3,6,1]=>[6,7,4,5,2,3,1]
[7,2,5,4,6,1,3]=>[6,7,1,5,2,4,3]
[7,2,5,4,6,3,1]=>[3,6,7,5,1,4,2]
[7,2,5,6,1,3,4]=>[6,7,1,3,2,5,4]
[7,2,5,6,1,4,3]=>[6,7,4,1,2,5,3]
[7,2,5,6,3,1,4]=>[3,6,7,2,1,5,4]
[7,2,5,6,3,4,1]=>[4,7,6,3,2,5,1]
[7,2,5,6,4,1,3]=>[4,6,2,7,1,5,3]
[7,2,5,6,4,3,1]=>[3,4,6,7,2,5,1]
[7,2,6,1,3,4,5]=>[6,7,1,3,4,2,5]
[7,2,6,1,3,5,4]=>[6,7,1,5,3,2,4]
[7,2,6,1,4,3,5]=>[6,7,4,1,3,2,5]
[7,2,6,1,4,5,3]=>[6,7,5,1,4,2,3]
[7,2,6,1,5,3,4]=>[6,7,5,3,1,2,4]
[7,2,6,1,5,4,3]=>[6,7,4,5,1,2,3]
[7,2,6,3,1,4,5]=>[3,6,7,2,4,1,5]
[7,2,6,3,1,5,4]=>[3,6,7,5,2,1,4]
[7,2,6,3,4,1,5]=>[4,7,6,3,1,2,5]
[7,2,6,3,4,5,1]=>[5,7,6,3,4,2,1]
[7,2,6,3,5,1,4]=>[5,7,6,1,3,2,4]
[7,2,6,3,5,4,1]=>[4,5,7,6,1,3,2]
[7,2,6,4,1,3,5]=>[4,6,2,7,3,1,5]
[7,2,6,4,1,5,3]=>[4,6,7,5,2,3,1]
[7,2,6,4,3,1,5]=>[3,4,6,7,1,2,5]
[7,2,6,4,3,5,1]=>[5,7,4,6,3,2,1]
[7,2,6,4,5,1,3]=>[5,7,1,6,4,2,3]
[7,2,6,4,5,3,1]=>[3,5,7,6,4,1,2]
[7,2,6,5,1,3,4]=>[5,6,2,3,7,1,4]
[7,2,6,5,1,4,3]=>[5,6,4,2,7,1,3]
[7,2,6,5,3,1,4]=>[3,5,6,1,7,2,4]
[7,2,6,5,3,4,1]=>[4,7,5,3,6,2,1]
[7,2,6,5,4,1,3]=>[4,5,1,6,7,2,3]
[7,2,6,5,4,3,1]=>[3,4,5,6,7,1,2]
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[7,3,1,2,4,6,5]=>[3,1,7,2,6,4,5]
[7,3,1,2,5,4,6]=>[3,1,7,5,2,4,6]
[7,3,1,2,5,6,4]=>[3,1,7,6,2,5,4]
[7,3,1,2,6,4,5]=>[3,1,7,6,4,2,5]
[7,3,1,2,6,5,4]=>[3,1,7,5,6,2,4]
[7,3,1,4,2,5,6]=>[3,7,4,2,1,5,6]
[7,3,1,4,2,6,5]=>[3,7,4,2,6,1,5]
[7,3,1,4,5,2,6]=>[3,7,5,2,4,1,6]
[7,3,1,4,5,6,2]=>[3,7,6,2,4,5,1]
[7,3,1,4,6,2,5]=>[3,7,6,2,1,4,5]
[7,3,1,4,6,5,2]=>[3,7,5,2,6,4,1]
[7,3,1,5,2,4,6]=>[3,7,5,1,2,4,6]
[7,3,1,5,2,6,4]=>[3,7,5,6,2,1,4]
[7,3,1,5,4,2,6]=>[3,7,4,5,2,1,6]
[7,3,1,5,4,6,2]=>[3,7,6,5,2,4,1]
[7,3,1,5,6,2,4]=>[3,7,6,1,2,5,4]
[7,3,1,5,6,4,2]=>[3,7,4,6,2,5,1]
[7,3,1,6,2,4,5]=>[3,7,6,1,4,2,5]
[7,3,1,6,2,5,4]=>[3,7,6,5,1,2,4]
[7,3,1,6,4,2,5]=>[3,7,4,6,1,2,5]
[7,3,1,6,4,5,2]=>[3,7,5,6,4,2,1]
[7,3,1,6,5,2,4]=>[3,7,5,1,6,2,4]
[7,3,1,6,5,4,2]=>[3,7,4,5,6,2,1]
[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]
[7,3,2,1,4,6,5]=>[2,3,7,1,6,4,5]
[7,3,2,1,5,4,6]=>[2,3,7,5,1,4,6]
[7,3,2,1,5,6,4]=>[2,3,7,6,1,5,4]
[7,3,2,1,6,4,5]=>[2,3,7,6,4,1,5]
[7,3,2,1,6,5,4]=>[2,3,7,5,6,1,4]
[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]
[7,3,2,4,1,6,5]=>[4,3,7,2,6,1,5]
[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]
[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[7,3,2,4,6,1,5]=>[6,3,7,2,1,4,5]
[7,3,2,4,6,5,1]=>[5,3,6,1,7,4,2]
[7,3,2,5,1,4,6]=>[5,3,7,1,2,4,6]
[7,3,2,5,1,6,4]=>[5,3,7,6,2,1,4]
[7,3,2,5,4,1,6]=>[4,3,5,7,1,2,6]
[7,3,2,5,4,6,1]=>[6,3,7,5,2,4,1]
[7,3,2,5,6,1,4]=>[6,3,7,1,2,5,4]
[7,3,2,5,6,4,1]=>[4,3,6,7,1,5,2]
[7,3,2,6,1,4,5]=>[6,3,7,1,4,2,5]
[7,3,2,6,1,5,4]=>[6,3,7,5,1,2,4]
[7,3,2,6,4,1,5]=>[4,3,6,7,2,1,5]
[7,3,2,6,4,5,1]=>[5,3,7,6,4,2,1]
[7,3,2,6,5,1,4]=>[5,3,6,2,7,1,4]
[7,3,2,6,5,4,1]=>[4,3,5,6,7,2,1]
[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[7,3,4,1,2,6,5]=>[4,1,7,3,6,2,5]
[7,3,4,1,5,2,6]=>[4,5,7,3,1,2,6]
[7,3,4,1,5,6,2]=>[4,6,7,3,1,5,2]
[7,3,4,1,6,2,5]=>[4,6,7,3,2,1,5]
[7,3,4,1,6,5,2]=>[4,5,6,2,7,1,3]
[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]
[7,3,4,2,1,6,5]=>[2,4,7,3,6,1,5]
[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]
[7,3,4,2,5,6,1]=>[6,4,7,3,2,5,1]
[7,3,4,2,6,1,5]=>[6,4,7,3,1,2,5]
[7,3,4,2,6,5,1]=>[5,4,6,1,7,2,3]
[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]
[7,3,4,5,1,6,2]=>[5,6,7,3,4,1,2]
[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]
[7,3,4,5,2,6,1]=>[6,5,7,3,4,2,1]
[7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]
[7,3,4,5,6,2,1]=>[2,6,7,3,4,5,1]
[7,3,4,6,1,2,5]=>[6,1,7,3,2,4,5]
[7,3,4,6,1,5,2]=>[6,5,7,3,1,4,2]
[7,3,4,6,2,1,5]=>[2,6,7,3,1,4,5]
[7,3,4,6,2,5,1]=>[5,6,7,3,2,4,1]
[7,3,4,6,5,1,2]=>[5,1,6,2,7,4,3]
[7,3,4,6,5,2,1]=>[2,5,6,1,7,4,3]
[7,3,5,1,2,4,6]=>[5,1,7,2,3,4,6]
[7,3,5,1,2,6,4]=>[5,1,7,6,3,2,4]
[7,3,5,1,4,2,6]=>[5,4,7,1,3,2,6]
[7,3,5,1,4,6,2]=>[5,6,7,1,3,4,2]
[7,3,5,1,6,2,4]=>[5,6,7,2,3,1,4]
[7,3,5,1,6,4,2]=>[5,4,6,7,2,1,3]
[7,3,5,2,1,4,6]=>[2,5,7,1,3,4,6]
[7,3,5,2,1,6,4]=>[2,5,7,6,3,1,4]
[7,3,5,2,4,1,6]=>[4,5,7,2,3,1,6]
[7,3,5,2,4,6,1]=>[6,5,7,2,3,4,1]
[7,3,5,2,6,1,4]=>[6,5,7,1,3,2,4]
[7,3,5,2,6,4,1]=>[4,6,5,7,1,3,2]
[7,3,5,4,1,2,6]=>[4,1,5,7,2,3,6]
[7,3,5,4,1,6,2]=>[4,5,6,7,1,2,3]
[7,3,5,4,2,1,6]=>[2,4,5,7,1,3,6]
[7,3,5,4,2,6,1]=>[6,4,5,7,2,3,1]
[7,3,5,4,6,1,2]=>[6,1,7,5,3,4,2]
[7,3,5,4,6,2,1]=>[2,6,7,5,3,4,1]
[7,3,5,6,1,2,4]=>[6,1,7,2,3,5,4]
[7,3,5,6,1,4,2]=>[6,4,7,1,3,5,2]
[7,3,5,6,2,1,4]=>[2,6,7,1,3,5,4]
[7,3,5,6,2,4,1]=>[4,6,7,2,3,5,1]
[7,3,5,6,4,1,2]=>[4,1,6,7,2,5,3]
[7,3,5,6,4,2,1]=>[2,4,6,7,1,5,3]
[7,3,6,1,2,4,5]=>[6,1,7,2,4,3,5]
[7,3,6,1,2,5,4]=>[6,1,7,5,2,3,4]
[7,3,6,1,4,2,5]=>[6,4,7,1,2,3,5]
[7,3,6,1,4,5,2]=>[6,5,7,1,4,3,2]
[7,3,6,1,5,2,4]=>[6,5,7,2,1,3,4]
[7,3,6,1,5,4,2]=>[6,4,5,7,1,2,3]
[7,3,6,2,1,4,5]=>[2,6,7,1,4,3,5]
[7,3,6,2,1,5,4]=>[2,6,7,5,1,3,4]
[7,3,6,2,4,1,5]=>[4,6,7,2,1,3,5]
[7,3,6,2,4,5,1]=>[5,6,7,2,4,3,1]
[7,3,6,2,5,1,4]=>[5,6,7,1,2,3,4]
[7,3,6,2,5,4,1]=>[4,5,6,7,3,1,2]
[7,3,6,4,1,2,5]=>[4,1,6,7,3,2,5]
[7,3,6,4,1,5,2]=>[4,6,5,7,2,1,3]
[7,3,6,4,2,1,5]=>[2,4,6,7,3,1,5]
[7,3,6,4,2,5,1]=>[5,4,6,7,3,2,1]
[7,3,6,4,5,1,2]=>[5,1,7,6,4,3,2]
[7,3,6,4,5,2,1]=>[2,5,7,6,4,3,1]
[7,3,6,5,1,2,4]=>[5,1,6,3,7,2,4]
[7,3,6,5,1,4,2]=>[5,4,6,3,7,1,2]
[7,3,6,5,2,1,4]=>[2,5,6,3,7,1,4]
[7,3,6,5,2,4,1]=>[4,5,6,3,7,2,1]
[7,3,6,5,4,1,2]=>[4,1,5,6,7,3,2]
[7,3,6,5,4,2,1]=>[2,4,5,6,7,3,1]
[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[7,4,1,2,3,6,5]=>[4,1,2,7,6,3,5]
[7,4,1,2,5,3,6]=>[4,1,7,5,3,2,6]
[7,4,1,2,5,6,3]=>[4,1,7,6,3,5,2]
[7,4,1,2,6,3,5]=>[4,1,7,6,2,3,5]
[7,4,1,2,6,5,3]=>[4,1,7,5,6,3,2]
[7,4,1,3,2,5,6]=>[4,3,1,7,2,5,6]
[7,4,1,3,2,6,5]=>[4,3,1,7,6,2,5]
[7,4,1,3,5,2,6]=>[4,7,2,5,3,1,6]
[7,4,1,3,5,6,2]=>[4,7,2,6,3,5,1]
[7,4,1,3,6,2,5]=>[4,7,2,6,1,3,5]
[7,4,1,3,6,5,2]=>[4,7,2,5,6,3,1]
[7,4,1,5,2,3,6]=>[4,7,1,5,2,3,6]
[7,4,1,5,2,6,3]=>[4,7,5,6,2,3,1]
[7,4,1,5,3,2,6]=>[4,3,7,5,2,1,6]
[7,4,1,5,3,6,2]=>[4,7,6,5,2,1,3]
[7,4,1,5,6,2,3]=>[4,7,1,6,2,5,3]
[7,4,1,5,6,3,2]=>[4,3,7,6,2,5,1]
[7,4,1,6,2,3,5]=>[4,7,1,6,3,2,5]
[7,4,1,6,2,5,3]=>[4,7,6,5,3,2,1]
[7,4,1,6,3,2,5]=>[4,3,7,6,1,2,5]
[7,4,1,6,3,5,2]=>[4,7,5,6,1,2,3]
[7,4,1,6,5,2,3]=>[4,7,1,5,6,2,3]
[7,4,1,6,5,3,2]=>[4,3,7,5,6,2,1]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[7,4,2,1,3,6,5]=>[2,4,1,7,6,3,5]
[7,4,2,1,5,3,6]=>[2,4,7,5,3,1,6]
[7,4,2,1,5,6,3]=>[2,4,7,6,3,5,1]
[7,4,2,1,6,3,5]=>[2,4,7,6,1,3,5]
[7,4,2,1,6,5,3]=>[2,4,7,5,6,3,1]
[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]
[7,4,2,3,1,6,5]=>[3,4,2,7,6,1,5]
[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]
[7,4,2,3,5,6,1]=>[6,4,2,7,3,5,1]
[7,4,2,3,6,1,5]=>[6,4,2,7,1,3,5]
[7,4,2,3,6,5,1]=>[5,4,1,6,7,3,2]
[7,4,2,5,1,3,6]=>[5,4,1,7,2,3,6]
[7,4,2,5,1,6,3]=>[5,4,7,6,3,1,2]
[7,4,2,5,3,1,6]=>[3,5,4,7,1,2,6]
[7,4,2,5,3,6,1]=>[6,4,7,5,3,2,1]
[7,4,2,5,6,1,3]=>[6,4,1,7,2,5,3]
[7,4,2,5,6,3,1]=>[3,6,4,7,1,5,2]
[7,4,2,6,1,3,5]=>[6,4,1,7,3,2,5]
[7,4,2,6,1,5,3]=>[6,4,7,5,1,3,2]
[7,4,2,6,3,1,5]=>[3,6,4,7,2,1,5]
[7,4,2,6,3,5,1]=>[5,4,7,6,2,3,1]
[7,4,2,6,5,1,3]=>[5,4,2,6,7,1,3]
[7,4,2,6,5,3,1]=>[3,5,4,6,7,2,1]
[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]
[7,4,3,1,2,6,5]=>[3,1,4,7,6,2,5]
[7,4,3,1,5,2,6]=>[3,4,7,5,1,2,6]
[7,4,3,1,5,6,2]=>[3,4,7,6,1,5,2]
[7,4,3,1,6,2,5]=>[3,4,7,6,2,1,5]
[7,4,3,1,6,5,2]=>[3,4,7,5,6,1,2]
[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]
[7,4,3,2,1,6,5]=>[2,3,4,7,6,1,5]
[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]
[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[7,4,3,2,6,1,5]=>[6,3,4,7,1,2,5]
[7,4,3,2,6,5,1]=>[5,3,4,6,7,1,2]
[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]
[7,4,3,5,1,6,2]=>[5,6,4,7,3,1,2]
[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]
[7,4,3,5,2,6,1]=>[6,5,4,7,3,2,1]
[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]
[7,4,3,5,6,2,1]=>[2,6,4,7,3,5,1]
[7,4,3,6,1,2,5]=>[6,1,4,7,2,3,5]
[7,4,3,6,1,5,2]=>[6,5,4,7,1,3,2]
[7,4,3,6,2,1,5]=>[2,6,4,7,1,3,5]
[7,4,3,6,2,5,1]=>[5,6,4,7,2,3,1]
[7,4,3,6,5,1,2]=>[5,1,4,6,7,2,3]
[7,4,3,6,5,2,1]=>[2,5,4,6,7,1,3]
[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]
[7,4,5,1,2,6,3]=>[5,1,6,7,4,2,3]
[7,4,5,1,3,2,6]=>[5,3,1,7,4,2,6]
[7,4,5,1,3,6,2]=>[5,6,1,7,4,3,2]
[7,4,5,1,6,2,3]=>[5,6,2,7,4,1,3]
[7,4,5,1,6,3,2]=>[5,3,6,7,4,1,2]
[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]
[7,4,5,2,1,6,3]=>[2,5,6,7,4,1,3]
[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]
[7,4,5,2,3,6,1]=>[6,5,2,7,4,3,1]
[7,4,5,2,6,1,3]=>[6,5,1,7,4,2,3]
[7,4,5,2,6,3,1]=>[3,6,5,7,4,1,2]
[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]
[7,4,5,3,1,6,2]=>[3,5,6,7,4,2,1]
[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]
[7,4,5,3,2,6,1]=>[6,3,5,7,4,2,1]
[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]
[7,4,5,3,6,2,1]=>[2,6,5,7,4,3,1]
[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]
[7,4,5,6,1,3,2]=>[6,3,1,7,4,5,2]
[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]
[7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1]
[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]
[7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1]
[7,4,6,1,2,3,5]=>[6,1,2,7,3,4,5]
[7,4,6,1,2,5,3]=>[6,1,5,7,2,4,3]
[7,4,6,1,3,2,5]=>[6,3,1,7,2,4,5]
[7,4,6,1,3,5,2]=>[6,5,1,7,3,4,2]
[7,4,6,1,5,2,3]=>[6,5,2,7,1,4,3]
[7,4,6,1,5,3,2]=>[6,3,5,7,1,4,2]
[7,4,6,2,1,3,5]=>[2,6,1,7,3,4,5]
[7,4,6,2,1,5,3]=>[2,6,5,7,1,4,3]
[7,4,6,2,3,1,5]=>[3,6,2,7,1,4,5]
[7,4,6,2,3,5,1]=>[5,6,2,7,3,4,1]
[7,4,6,2,5,1,3]=>[5,6,1,7,2,4,3]
[7,4,6,2,5,3,1]=>[3,5,6,7,1,4,2]
[7,4,6,3,1,2,5]=>[3,1,6,7,2,4,5]
[7,4,6,3,1,5,2]=>[3,6,5,7,2,4,1]
[7,4,6,3,2,1,5]=>[2,3,6,7,1,4,5]
[7,4,6,3,2,5,1]=>[5,3,6,7,2,4,1]
[7,4,6,3,5,1,2]=>[5,1,6,7,3,4,2]
[7,4,6,3,5,2,1]=>[2,5,6,7,3,4,1]
[7,4,6,5,1,2,3]=>[5,1,2,6,7,3,4]
[7,4,6,5,1,3,2]=>[5,3,1,6,7,2,4]
[7,4,6,5,2,1,3]=>[2,5,1,6,7,3,4]
[7,4,6,5,2,3,1]=>[3,5,2,6,7,1,4]
[7,4,6,5,3,1,2]=>[3,1,5,6,7,2,4]
[7,4,6,5,3,2,1]=>[2,3,5,6,7,1,4]
[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[7,5,1,2,3,6,4]=>[5,1,2,7,6,4,3]
[7,5,1,2,4,3,6]=>[5,1,4,2,7,3,6]
[7,5,1,2,4,6,3]=>[5,1,7,3,6,4,2]
[7,5,1,2,6,3,4]=>[5,1,7,2,6,3,4]
[7,5,1,2,6,4,3]=>[5,1,4,7,6,3,2]
[7,5,1,3,2,4,6]=>[5,3,1,2,7,4,6]
[7,5,1,3,2,6,4]=>[5,3,1,7,6,4,2]
[7,5,1,3,4,2,6]=>[5,4,1,3,7,2,6]
[7,5,1,3,4,6,2]=>[5,7,2,3,6,4,1]
[7,5,1,3,6,2,4]=>[5,7,2,1,6,3,4]
[7,5,1,3,6,4,2]=>[5,4,2,7,6,3,1]
[7,5,1,4,2,3,6]=>[5,4,2,1,7,3,6]
[7,5,1,4,2,6,3]=>[5,4,7,3,6,2,1]
[7,5,1,4,3,2,6]=>[5,3,4,1,7,2,6]
[7,5,1,4,3,6,2]=>[5,7,4,2,6,3,1]
[7,5,1,4,6,2,3]=>[5,7,1,2,6,4,3]
[7,5,1,4,6,3,2]=>[5,3,7,2,6,4,1]
[7,5,1,6,2,3,4]=>[5,7,1,3,6,2,4]
[7,5,1,6,2,4,3]=>[5,7,4,1,6,2,3]
[7,5,1,6,3,2,4]=>[5,3,7,1,6,2,4]
[7,5,1,6,3,4,2]=>[5,4,7,1,6,3,2]
[7,5,1,6,4,2,3]=>[5,4,1,7,6,2,3]
[7,5,1,6,4,3,2]=>[5,3,4,7,6,2,1]
[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]
[7,5,2,1,3,6,4]=>[2,5,1,7,6,4,3]
[7,5,2,1,4,3,6]=>[2,5,4,1,7,3,6]
[7,5,2,1,4,6,3]=>[2,5,7,3,6,4,1]
[7,5,2,1,6,3,4]=>[2,5,7,1,6,3,4]
[7,5,2,1,6,4,3]=>[2,5,4,7,6,3,1]
[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]
[7,5,2,3,1,6,4]=>[3,5,2,7,6,4,1]
[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]
[7,5,2,3,4,6,1]=>[6,5,2,3,7,4,1]
[7,5,2,3,6,1,4]=>[6,5,2,1,7,3,4]
[7,5,2,3,6,4,1]=>[4,6,1,5,7,3,2]
[7,5,2,4,1,3,6]=>[4,5,1,2,7,3,6]
[7,5,2,4,1,6,3]=>[4,5,7,3,6,1,2]
[7,5,2,4,3,1,6]=>[3,4,5,1,7,2,6]
[7,5,2,4,3,6,1]=>[6,5,4,2,7,3,1]
[7,5,2,4,6,1,3]=>[6,5,1,2,7,4,3]
[7,5,2,4,6,3,1]=>[3,6,5,1,7,4,2]
[7,5,2,6,1,3,4]=>[6,5,1,3,7,2,4]
[7,5,2,6,1,4,3]=>[6,5,4,1,7,2,3]
[7,5,2,6,3,1,4]=>[3,6,5,2,7,1,4]
[7,5,2,6,3,4,1]=>[4,5,7,2,6,3,1]
[7,5,2,6,4,1,3]=>[4,6,2,5,7,1,3]
[7,5,2,6,4,3,1]=>[3,4,6,5,7,2,1]
[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]
[7,5,3,1,2,6,4]=>[3,1,5,7,6,4,2]
[7,5,3,1,4,2,6]=>[3,5,4,2,7,1,6]
[7,5,3,1,4,6,2]=>[3,5,7,1,6,4,2]
[7,5,3,1,6,2,4]=>[3,5,7,2,6,1,4]
[7,5,3,1,6,4,2]=>[3,5,4,7,6,1,2]
[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]
[7,5,3,2,1,6,4]=>[2,3,5,7,6,4,1]
[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]
[7,5,3,2,4,6,1]=>[6,3,5,2,7,4,1]
[7,5,3,2,6,1,4]=>[6,3,5,1,7,2,4]
[7,5,3,2,6,4,1]=>[4,3,6,5,7,1,2]
[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]
[7,5,3,4,1,6,2]=>[4,6,5,3,7,1,2]
[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]
[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]
[7,5,3,4,6,2,1]=>[2,6,5,3,7,4,1]
[7,5,3,6,1,2,4]=>[6,1,5,2,7,3,4]
[7,5,3,6,1,4,2]=>[6,4,5,1,7,3,2]
[7,5,3,6,2,1,4]=>[2,6,5,1,7,3,4]
[7,5,3,6,2,4,1]=>[4,6,5,2,7,3,1]
[7,5,3,6,4,1,2]=>[4,1,6,5,7,2,3]
[7,5,3,6,4,2,1]=>[2,4,6,5,7,1,3]
[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]
[7,5,4,1,2,6,3]=>[4,1,5,7,6,2,3]
[7,5,4,1,3,2,6]=>[4,3,1,5,7,2,6]
[7,5,4,1,3,6,2]=>[4,5,1,7,6,3,2]
[7,5,4,1,6,2,3]=>[4,5,2,7,6,1,3]
[7,5,4,1,6,3,2]=>[4,3,5,7,6,1,2]
[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]
[7,5,4,2,1,6,3]=>[2,4,5,7,6,1,3]
[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]
[7,5,4,2,3,6,1]=>[6,4,2,5,7,3,1]
[7,5,4,2,6,1,3]=>[6,4,1,5,7,2,3]
[7,5,4,2,6,3,1]=>[3,6,4,5,7,1,2]
[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]
[7,5,4,3,1,6,2]=>[3,4,5,7,6,2,1]
[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]
[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]
[7,5,4,3,6,2,1]=>[2,6,4,5,7,3,1]
[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]
[7,5,4,6,1,3,2]=>[6,3,1,5,7,4,2]
[7,5,4,6,2,1,3]=>[2,6,1,5,7,4,3]
[7,5,4,6,2,3,1]=>[3,6,2,5,7,4,1]
[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]
[7,5,4,6,3,2,1]=>[2,3,6,5,7,4,1]
[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]
[7,5,6,1,2,4,3]=>[6,1,4,2,7,5,3]
[7,5,6,1,3,2,4]=>[6,3,1,2,7,5,4]
[7,5,6,1,3,4,2]=>[6,4,1,3,7,5,2]
[7,5,6,1,4,2,3]=>[6,4,2,1,7,5,3]
[7,5,6,1,4,3,2]=>[6,3,4,1,7,5,2]
[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]
[7,5,6,2,1,4,3]=>[2,6,4,1,7,5,3]
[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]
[7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1]
[7,5,6,2,4,1,3]=>[4,6,1,2,7,5,3]
[7,5,6,2,4,3,1]=>[3,4,6,1,7,5,2]
[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]
[7,5,6,3,1,4,2]=>[3,6,4,2,7,5,1]
[7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]
[7,5,6,3,2,4,1]=>[4,3,6,2,7,5,1]
[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]
[7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1]
[7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]
[7,5,6,4,1,3,2]=>[4,3,1,6,7,5,2]
[7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]
[7,5,6,4,2,3,1]=>[3,4,2,6,7,5,1]
[7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]
[7,5,6,4,3,2,1]=>[2,3,4,6,7,5,1]
[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]
[7,6,1,2,3,5,4]=>[6,1,2,5,3,7,4]
[7,6,1,2,4,3,5]=>[6,1,4,2,3,7,5]
[7,6,1,2,4,5,3]=>[6,1,5,2,4,7,3]
[7,6,1,2,5,3,4]=>[6,1,5,3,2,7,4]
[7,6,1,2,5,4,3]=>[6,1,4,5,2,7,3]
[7,6,1,3,2,4,5]=>[6,3,1,2,4,7,5]
[7,6,1,3,2,5,4]=>[6,3,1,5,2,7,4]
[7,6,1,3,4,2,5]=>[6,4,1,3,2,7,5]
[7,6,1,3,4,5,2]=>[6,5,1,3,4,7,2]
[7,6,1,3,5,2,4]=>[6,5,1,2,3,7,4]
[7,6,1,3,5,4,2]=>[6,4,1,5,3,7,2]
[7,6,1,4,2,3,5]=>[6,4,2,1,3,7,5]
[7,6,1,4,2,5,3]=>[6,4,5,1,2,7,3]
[7,6,1,4,3,2,5]=>[6,3,4,1,2,7,5]
[7,6,1,4,3,5,2]=>[6,5,4,1,3,7,2]
[7,6,1,4,5,2,3]=>[6,5,2,1,4,7,3]
[7,6,1,4,5,3,2]=>[6,3,5,1,4,7,2]
[7,6,1,5,2,3,4]=>[6,5,2,3,1,7,4]
[7,6,1,5,2,4,3]=>[6,5,4,2,1,7,3]
[7,6,1,5,3,2,4]=>[6,3,5,2,1,7,4]
[7,6,1,5,3,4,2]=>[6,4,5,3,1,7,2]
[7,6,1,5,4,2,3]=>[6,4,2,5,1,7,3]
[7,6,1,5,4,3,2]=>[6,3,4,5,1,7,2]
[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]
[7,6,2,1,3,5,4]=>[2,6,1,5,3,7,4]
[7,6,2,1,4,3,5]=>[2,6,4,1,3,7,5]
[7,6,2,1,4,5,3]=>[2,6,5,1,4,7,3]
[7,6,2,1,5,3,4]=>[2,6,5,3,1,7,4]
[7,6,2,1,5,4,3]=>[2,6,4,5,1,7,3]
[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]
[7,6,2,3,1,5,4]=>[3,6,2,5,1,7,4]
[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]
[7,6,2,3,4,5,1]=>[5,6,2,3,4,7,1]
[7,6,2,3,5,1,4]=>[5,6,2,1,3,7,4]
[7,6,2,3,5,4,1]=>[4,5,1,6,3,7,2]
[7,6,2,4,1,3,5]=>[4,6,1,2,3,7,5]
[7,6,2,4,1,5,3]=>[4,6,5,2,1,7,3]
[7,6,2,4,3,1,5]=>[3,4,6,1,2,7,5]
[7,6,2,4,3,5,1]=>[5,6,4,2,3,7,1]
[7,6,2,4,5,1,3]=>[5,6,1,2,4,7,3]
[7,6,2,4,5,3,1]=>[3,5,6,1,4,7,2]
[7,6,2,5,1,3,4]=>[5,6,1,3,2,7,4]
[7,6,2,5,1,4,3]=>[5,6,4,1,2,7,3]
[7,6,2,5,3,1,4]=>[3,5,6,2,1,7,4]
[7,6,2,5,3,4,1]=>[4,6,5,3,2,7,1]
[7,6,2,5,4,1,3]=>[4,5,2,6,1,7,3]
[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]
[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]
[7,6,3,1,2,5,4]=>[3,1,6,5,2,7,4]
[7,6,3,1,4,2,5]=>[3,6,4,2,1,7,5]
[7,6,3,1,4,5,2]=>[3,6,5,2,4,7,1]
[7,6,3,1,5,2,4]=>[3,6,5,1,2,7,4]
[7,6,3,1,5,4,2]=>[3,6,4,5,2,7,1]
[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]
[7,6,3,2,1,5,4]=>[2,3,6,5,1,7,4]
[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]
[7,6,3,2,4,5,1]=>[5,3,6,2,4,7,1]
[7,6,3,2,5,1,4]=>[5,3,6,1,2,7,4]
[7,6,3,2,5,4,1]=>[4,3,5,6,1,7,2]
[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]
[7,6,3,4,1,5,2]=>[4,5,6,3,1,7,2]
[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]
[7,6,3,4,2,5,1]=>[5,4,6,3,2,7,1]
[7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]
[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[7,6,3,5,1,2,4]=>[5,1,6,2,3,7,4]
[7,6,3,5,1,4,2]=>[5,4,6,1,3,7,2]
[7,6,3,5,2,1,4]=>[2,5,6,1,3,7,4]
[7,6,3,5,2,4,1]=>[4,5,6,2,3,7,1]
[7,6,3,5,4,1,2]=>[4,1,5,6,2,7,3]
[7,6,3,5,4,2,1]=>[2,4,5,6,1,7,3]
[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]
[7,6,4,1,2,5,3]=>[4,1,6,5,3,7,2]
[7,6,4,1,3,2,5]=>[4,3,1,6,2,7,5]
[7,6,4,1,3,5,2]=>[4,6,2,5,3,7,1]
[7,6,4,1,5,2,3]=>[4,6,1,5,2,7,3]
[7,6,4,1,5,3,2]=>[4,3,6,5,2,7,1]
[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]
[7,6,4,2,1,5,3]=>[2,4,6,5,3,7,1]
[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]
[7,6,4,2,3,5,1]=>[5,4,2,6,3,7,1]
[7,6,4,2,5,1,3]=>[5,4,1,6,2,7,3]
[7,6,4,2,5,3,1]=>[3,5,4,6,1,7,2]
[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]
[7,6,4,3,1,5,2]=>[3,4,6,5,1,7,2]
[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]
[7,6,4,3,2,5,1]=>[5,3,4,6,2,7,1]
[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]
[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]
[7,6,4,5,1,3,2]=>[5,3,1,6,4,7,2]
[7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]
[7,6,4,5,2,3,1]=>[3,5,2,6,4,7,1]
[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]
[7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1]
[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]
[7,6,5,1,2,4,3]=>[5,1,4,2,6,7,3]
[7,6,5,1,3,2,4]=>[5,3,1,2,6,7,4]
[7,6,5,1,3,4,2]=>[5,4,1,3,6,7,2]
[7,6,5,1,4,2,3]=>[5,4,2,1,6,7,3]
[7,6,5,1,4,3,2]=>[5,3,4,1,6,7,2]
[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]
[7,6,5,2,1,4,3]=>[2,5,4,1,6,7,3]
[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]
[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1]
[7,6,5,2,4,1,3]=>[4,5,1,2,6,7,3]
[7,6,5,2,4,3,1]=>[3,4,5,1,6,7,2]
[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]
[7,6,5,3,1,4,2]=>[3,5,4,2,6,7,1]
[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]
[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]
[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]
[7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1]
[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]
[7,6,5,4,1,3,2]=>[4,3,1,5,6,7,2]
[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]
[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]
[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]
[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1]
[8,6,7,5,4,3,2,1]=>[2,3,4,5,7,8,6,1]
[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1]
[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1]
[8,7,5,6,4,3,2,1]=>[2,3,4,6,7,5,8,1]
[7,8,5,6,4,3,2,1]=>[2,3,4,6,8,5,7,1]
[8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,1]
[8,5,6,7,4,3,2,1]=>[2,3,4,7,8,5,6,1]
[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]
[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]
[7,5,6,8,4,3,2,1]=>[2,3,4,8,7,5,6,1]
[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]
[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]
[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[7,8,6,4,5,3,2,1]=>[2,3,5,6,4,8,7,1]
[8,6,7,4,5,3,2,1]=>[2,3,5,7,4,8,6,1]
[7,6,8,4,5,3,2,1]=>[2,3,5,8,4,7,6,1]
[6,7,8,4,5,3,2,1]=>[2,3,5,8,4,6,7,1]
[8,7,5,4,6,3,2,1]=>[2,3,6,5,7,4,8,1]
[7,8,5,4,6,3,2,1]=>[2,3,6,5,8,4,7,1]
[8,7,4,5,6,3,2,1]=>[2,3,6,7,4,5,8,1]
[7,8,4,5,6,3,2,1]=>[2,3,6,8,4,5,7,1]
[8,6,5,4,7,3,2,1]=>[2,3,7,5,6,8,4,1]
[8,5,6,4,7,3,2,1]=>[2,3,7,6,8,5,4,1]
[8,6,4,5,7,3,2,1]=>[2,3,7,6,4,8,5,1]
[8,5,4,6,7,3,2,1]=>[2,3,7,5,8,4,6,1]
[8,4,5,6,7,3,2,1]=>[2,3,7,8,4,5,6,1]
[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1]
[6,7,5,4,8,3,2,1]=>[2,3,8,5,7,6,4,1]
[7,5,6,4,8,3,2,1]=>[2,3,8,6,7,5,4,1]
[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1]
[5,6,7,4,8,3,2,1]=>[2,3,8,7,5,6,4,1]
[7,6,4,5,8,3,2,1]=>[2,3,8,6,4,7,5,1]
[6,7,4,5,8,3,2,1]=>[2,3,8,7,4,6,5,1]
[7,5,4,6,8,3,2,1]=>[2,3,8,5,7,4,6,1]
[7,4,5,6,8,3,2,1]=>[2,3,8,7,4,5,6,1]
[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1]
[5,6,4,7,8,3,2,1]=>[2,3,8,6,5,4,7,1]
[6,4,5,7,8,3,2,1]=>[2,3,8,6,4,5,7,1]
[5,4,6,7,8,3,2,1]=>[2,3,8,5,4,6,7,1]
[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1]
[8,7,6,5,3,4,2,1]=>[2,4,5,3,6,7,8,1]
[7,8,6,5,3,4,2,1]=>[2,4,5,3,6,8,7,1]
[8,6,7,5,3,4,2,1]=>[2,4,5,3,7,8,6,1]
[7,6,8,5,3,4,2,1]=>[2,4,5,3,8,7,6,1]
[6,7,8,5,3,4,2,1]=>[2,4,5,3,8,6,7,1]
[8,7,5,6,3,4,2,1]=>[2,4,6,3,7,5,8,1]
[7,8,5,6,3,4,2,1]=>[2,4,6,3,8,5,7,1]
[8,6,5,7,3,4,2,1]=>[2,4,7,3,6,8,5,1]
[8,5,6,7,3,4,2,1]=>[2,4,7,3,8,5,6,1]
[7,6,5,8,3,4,2,1]=>[2,4,8,3,6,7,5,1]
[6,7,5,8,3,4,2,1]=>[2,4,8,3,7,6,5,1]
[7,5,6,8,3,4,2,1]=>[2,4,8,3,7,5,6,1]
[6,5,7,8,3,4,2,1]=>[2,4,8,3,6,5,7,1]
[5,6,7,8,3,4,2,1]=>[2,4,8,3,5,6,7,1]
[8,7,6,4,3,5,2,1]=>[2,5,4,6,3,7,8,1]
[7,8,6,4,3,5,2,1]=>[2,5,4,6,3,8,7,1]
[8,6,7,4,3,5,2,1]=>[2,5,4,7,3,8,6,1]
[7,6,8,4,3,5,2,1]=>[2,5,4,8,3,7,6,1]
[6,7,8,4,3,5,2,1]=>[2,5,4,8,3,6,7,1]
[8,7,6,3,4,5,2,1]=>[2,5,6,3,4,7,8,1]
[7,8,6,3,4,5,2,1]=>[2,5,6,3,4,8,7,1]
[8,6,7,3,4,5,2,1]=>[2,5,7,3,4,8,6,1]
[7,6,8,3,4,5,2,1]=>[2,5,8,3,4,7,6,1]
[6,7,8,3,4,5,2,1]=>[2,5,8,3,4,6,7,1]
[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[7,8,5,4,3,6,2,1]=>[2,6,4,5,8,3,7,1]
[8,7,4,5,3,6,2,1]=>[2,6,5,7,4,3,8,1]
[8,7,5,3,4,6,2,1]=>[2,6,5,3,7,4,8,1]
[7,8,5,3,4,6,2,1]=>[2,6,5,3,8,4,7,1]
[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[7,8,4,3,5,6,2,1]=>[2,6,4,8,3,5,7,1]
[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[7,8,3,4,5,6,2,1]=>[2,6,8,3,4,5,7,1]
[8,6,5,4,3,7,2,1]=>[2,7,4,5,6,8,3,1]
[8,5,6,4,3,7,2,1]=>[2,7,4,6,8,5,3,1]
[8,6,4,5,3,7,2,1]=>[2,7,5,6,4,8,3,1]
[8,5,4,6,3,7,2,1]=>[2,7,6,5,8,4,3,1]
[8,5,6,3,4,7,2,1]=>[2,7,6,3,8,5,4,1]
[8,6,4,3,5,7,2,1]=>[2,7,4,6,3,8,5,1]
[8,6,3,4,5,7,2,1]=>[2,7,6,3,4,8,5,1]
[8,5,4,3,6,7,2,1]=>[2,7,4,5,8,3,6,1]
[8,5,3,4,6,7,2,1]=>[2,7,5,3,8,4,6,1]
[8,4,3,5,6,7,2,1]=>[2,7,4,8,3,5,6,1]
[8,3,4,5,6,7,2,1]=>[2,7,8,3,4,5,6,1]
[7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,3,1]
[6,7,5,4,3,8,2,1]=>[2,8,4,5,7,6,3,1]
[7,5,6,4,3,8,2,1]=>[2,8,4,6,7,5,3,1]
[6,5,7,4,3,8,2,1]=>[2,8,4,7,6,5,3,1]
[5,6,7,4,3,8,2,1]=>[2,8,4,7,5,6,3,1]
[7,6,4,5,3,8,2,1]=>[2,8,5,6,4,7,3,1]
[6,7,4,5,3,8,2,1]=>[2,8,5,7,4,6,3,1]
[7,5,4,6,3,8,2,1]=>[2,8,6,5,7,4,3,1]
[7,4,5,6,3,8,2,1]=>[2,8,6,7,4,5,3,1]
[6,5,4,7,3,8,2,1]=>[2,8,7,5,6,4,3,1]
[5,6,4,7,3,8,2,1]=>[2,8,7,6,5,4,3,1]
[6,4,5,7,3,8,2,1]=>[2,8,7,6,4,5,3,1]
[5,4,6,7,3,8,2,1]=>[2,8,7,5,4,6,3,1]
[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1]
[7,6,5,3,4,8,2,1]=>[2,8,5,3,6,7,4,1]
[6,7,5,3,4,8,2,1]=>[2,8,5,3,7,6,4,1]
[6,5,7,3,4,8,2,1]=>[2,8,7,3,6,5,4,1]
[5,6,7,3,4,8,2,1]=>[2,8,7,3,5,6,4,1]
[7,6,4,3,5,8,2,1]=>[2,8,4,6,3,7,5,1]
[7,6,3,4,5,8,2,1]=>[2,8,6,3,4,7,5,1]
[7,5,4,3,6,8,2,1]=>[2,8,4,5,7,3,6,1]
[7,4,5,3,6,8,2,1]=>[2,8,5,7,4,3,6,1]
[7,5,3,4,6,8,2,1]=>[2,8,5,3,7,4,6,1]
[7,4,3,5,6,8,2,1]=>[2,8,4,7,3,5,6,1]
[7,3,4,5,6,8,2,1]=>[2,8,7,3,4,5,6,1]
[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1]
[5,6,4,3,7,8,2,1]=>[2,8,4,6,5,3,7,1]
[5,4,6,3,7,8,2,1]=>[2,8,6,5,4,3,7,1]
[4,5,6,3,7,8,2,1]=>[2,8,6,4,5,3,7,1]
[6,5,3,4,7,8,2,1]=>[2,8,5,3,6,4,7,1]
[6,4,3,5,7,8,2,1]=>[2,8,4,6,3,5,7,1]
[6,3,4,5,7,8,2,1]=>[2,8,6,3,4,5,7,1]
[5,4,3,6,7,8,2,1]=>[2,8,4,5,3,6,7,1]
[4,5,3,6,7,8,2,1]=>[2,8,5,4,3,6,7,1]
[5,3,4,6,7,8,2,1]=>[2,8,5,3,4,6,7,1]
[4,3,5,6,7,8,2,1]=>[2,8,4,3,5,6,7,1]
[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]
[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]
[7,8,6,5,4,2,3,1]=>[3,4,2,5,6,8,7,1]
[8,6,7,5,4,2,3,1]=>[3,4,2,5,7,8,6,1]
[7,6,8,5,4,2,3,1]=>[3,4,2,5,8,7,6,1]
[8,7,5,6,4,2,3,1]=>[3,4,2,6,7,5,8,1]
[7,8,5,6,4,2,3,1]=>[3,4,2,6,8,5,7,1]
[8,6,5,7,4,2,3,1]=>[3,4,2,7,6,8,5,1]
[8,5,6,7,4,2,3,1]=>[3,4,2,7,8,5,6,1]
[7,6,5,8,4,2,3,1]=>[3,4,2,8,6,7,5,1]
[6,7,5,8,4,2,3,1]=>[3,4,2,8,7,6,5,1]
[7,5,6,8,4,2,3,1]=>[3,4,2,8,7,5,6,1]
[6,5,7,8,4,2,3,1]=>[3,4,2,8,6,5,7,1]
[5,6,7,8,4,2,3,1]=>[3,4,2,8,5,6,7,1]
[8,7,6,4,5,2,3,1]=>[3,5,2,6,4,7,8,1]
[7,8,6,4,5,2,3,1]=>[3,5,2,6,4,8,7,1]
[8,6,7,4,5,2,3,1]=>[3,5,2,7,4,8,6,1]
[7,6,8,4,5,2,3,1]=>[3,5,2,8,4,7,6,1]
[6,7,8,4,5,2,3,1]=>[3,5,2,8,4,6,7,1]
[8,7,5,4,6,2,3,1]=>[3,6,2,5,7,4,8,1]
[8,7,4,5,6,2,3,1]=>[3,6,2,7,4,5,8,1]
[7,8,4,5,6,2,3,1]=>[3,6,2,8,4,5,7,1]
[8,6,5,4,7,2,3,1]=>[3,7,2,5,6,8,4,1]
[8,5,6,4,7,2,3,1]=>[3,7,2,6,8,5,4,1]
[8,6,4,5,7,2,3,1]=>[3,7,2,6,4,8,5,1]
[8,4,5,6,7,2,3,1]=>[3,7,2,8,4,5,6,1]
[7,6,5,4,8,2,3,1]=>[3,8,2,5,6,7,4,1]
[6,7,5,4,8,2,3,1]=>[3,8,2,5,7,6,4,1]
[7,5,6,4,8,2,3,1]=>[3,8,2,6,7,5,4,1]
[6,5,7,4,8,2,3,1]=>[3,8,2,7,6,5,4,1]
[5,6,7,4,8,2,3,1]=>[3,8,2,7,5,6,4,1]
[7,6,4,5,8,2,3,1]=>[3,8,2,6,4,7,5,1]
[6,7,4,5,8,2,3,1]=>[3,8,2,7,4,6,5,1]
[7,5,4,6,8,2,3,1]=>[3,8,2,5,7,4,6,1]
[7,4,5,6,8,2,3,1]=>[3,8,2,7,4,5,6,1]
[6,5,4,7,8,2,3,1]=>[3,8,2,5,6,4,7,1]
[5,6,4,7,8,2,3,1]=>[3,8,2,6,5,4,7,1]
[6,4,5,7,8,2,3,1]=>[3,8,2,6,4,5,7,1]
[5,4,6,7,8,2,3,1]=>[3,8,2,5,4,6,7,1]
[4,5,6,7,8,2,3,1]=>[3,8,2,4,5,6,7,1]
[8,7,6,5,3,2,4,1]=>[4,3,5,2,6,7,8,1]
[7,8,6,5,3,2,4,1]=>[4,3,5,2,6,8,7,1]
[8,6,7,5,3,2,4,1]=>[4,3,5,2,7,8,6,1]
[7,6,8,5,3,2,4,1]=>[4,3,5,2,8,7,6,1]
[6,7,8,5,3,2,4,1]=>[4,3,5,2,8,6,7,1]
[8,7,5,6,3,2,4,1]=>[4,3,6,2,7,5,8,1]
[7,8,5,6,3,2,4,1]=>[4,3,6,2,8,5,7,1]
[8,6,5,7,3,2,4,1]=>[4,3,7,2,6,8,5,1]
[8,5,6,7,3,2,4,1]=>[4,3,7,2,8,5,6,1]
[7,6,5,8,3,2,4,1]=>[4,3,8,2,6,7,5,1]
[6,7,5,8,3,2,4,1]=>[4,3,8,2,7,6,5,1]
[7,5,6,8,3,2,4,1]=>[4,3,8,2,7,5,6,1]
[6,5,7,8,3,2,4,1]=>[4,3,8,2,6,5,7,1]
[5,6,7,8,3,2,4,1]=>[4,3,8,2,5,6,7,1]
[8,7,6,5,2,3,4,1]=>[4,5,2,3,6,7,8,1]
[8,6,7,5,2,3,4,1]=>[4,5,2,3,7,8,6,1]
[7,6,8,5,2,3,4,1]=>[4,5,2,3,8,7,6,1]
[6,7,8,5,2,3,4,1]=>[4,5,2,3,8,6,7,1]
[8,7,5,6,2,3,4,1]=>[4,6,2,3,7,5,8,1]
[7,8,5,6,2,3,4,1]=>[4,6,2,3,8,5,7,1]
[8,6,5,7,2,3,4,1]=>[4,7,2,3,6,8,5,1]
[8,5,6,7,2,3,4,1]=>[4,7,2,3,8,5,6,1]
[7,6,5,8,2,3,4,1]=>[4,8,2,3,6,7,5,1]
[6,7,5,8,2,3,4,1]=>[4,8,2,3,7,6,5,1]
[6,5,7,8,2,3,4,1]=>[4,8,2,3,6,5,7,1]
[5,6,7,8,2,3,4,1]=>[4,8,2,3,5,6,7,1]
[8,7,6,4,3,2,5,1]=>[5,3,4,6,2,7,8,1]
[7,8,6,4,3,2,5,1]=>[5,3,4,6,2,8,7,1]
[8,6,7,4,3,2,5,1]=>[5,3,4,7,2,8,6,1]
[7,6,8,4,3,2,5,1]=>[5,3,4,8,2,7,6,1]
[6,7,8,4,3,2,5,1]=>[5,3,4,8,2,6,7,1]
[8,7,6,3,4,2,5,1]=>[5,4,6,3,2,7,8,1]
[7,8,6,3,4,2,5,1]=>[5,4,6,3,2,8,7,1]
[8,6,7,3,4,2,5,1]=>[5,4,7,3,2,8,6,1]
[7,6,8,3,4,2,5,1]=>[5,4,8,3,2,7,6,1]
[6,7,8,3,4,2,5,1]=>[5,4,8,3,2,6,7,1]
[8,7,6,4,2,3,5,1]=>[5,4,2,6,3,7,8,1]
[7,8,6,4,2,3,5,1]=>[5,4,2,6,3,8,7,1]
[8,6,7,4,2,3,5,1]=>[5,4,2,7,3,8,6,1]
[7,6,8,4,2,3,5,1]=>[5,4,2,8,3,7,6,1]
[6,7,8,4,2,3,5,1]=>[5,4,2,8,3,6,7,1]
[8,7,6,3,2,4,5,1]=>[5,3,6,2,4,7,8,1]
[7,8,6,3,2,4,5,1]=>[5,3,6,2,4,8,7,1]
[8,6,7,3,2,4,5,1]=>[5,3,7,2,4,8,6,1]
[6,7,8,3,2,4,5,1]=>[5,3,8,2,4,6,7,1]
[8,7,6,2,3,4,5,1]=>[5,6,2,3,4,7,8,1]
[7,8,6,2,3,4,5,1]=>[5,6,2,3,4,8,7,1]
[8,6,7,2,3,4,5,1]=>[5,7,2,3,4,8,6,1]
[7,6,8,2,3,4,5,1]=>[5,8,2,3,4,7,6,1]
[6,7,8,2,3,4,5,1]=>[5,8,2,3,4,6,7,1]
[8,7,5,4,3,2,6,1]=>[6,3,4,5,7,2,8,1]
[7,8,5,4,3,2,6,1]=>[6,3,4,5,8,2,7,1]
[8,7,5,3,4,2,6,1]=>[6,4,5,3,7,2,8,1]
[7,8,5,3,4,2,6,1]=>[6,4,5,3,8,2,7,1]
[8,7,4,3,5,2,6,1]=>[6,5,4,7,3,2,8,1]
[7,8,4,3,5,2,6,1]=>[6,5,4,8,3,2,7,1]
[7,8,3,4,5,2,6,1]=>[6,5,8,3,4,2,7,1]
[8,7,5,4,2,3,6,1]=>[6,4,2,5,7,3,8,1]
[7,8,5,4,2,3,6,1]=>[6,4,2,5,8,3,7,1]
[7,8,4,5,2,3,6,1]=>[6,5,2,8,4,3,7,1]
[8,7,5,3,2,4,6,1]=>[6,3,5,2,7,4,8,1]
[7,8,5,2,3,4,6,1]=>[6,5,2,3,8,4,7,1]
[8,7,4,3,2,5,6,1]=>[6,3,4,7,2,5,8,1]
[7,8,4,3,2,5,6,1]=>[6,3,4,8,2,5,7,1]
[8,7,3,4,2,5,6,1]=>[6,4,7,3,2,5,8,1]
[7,8,3,4,2,5,6,1]=>[6,4,8,3,2,5,7,1]
[7,8,4,2,3,5,6,1]=>[6,4,2,8,3,5,7,1]
[7,8,3,2,4,5,6,1]=>[6,3,8,2,4,5,7,1]
[8,7,2,3,4,5,6,1]=>[6,7,2,3,4,5,8,1]
[7,8,2,3,4,5,6,1]=>[6,8,2,3,4,5,7,1]
[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[8,5,6,4,3,2,7,1]=>[7,3,4,6,8,5,2,1]
[8,6,4,5,3,2,7,1]=>[7,3,5,6,4,8,2,1]
[8,5,4,6,3,2,7,1]=>[7,3,6,5,8,4,2,1]
[8,6,5,3,4,2,7,1]=>[7,4,5,3,6,8,2,1]
[8,5,6,3,4,2,7,1]=>[7,4,6,3,8,5,2,1]
[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[8,6,3,4,5,2,7,1]=>[7,5,6,3,4,8,2,1]
[8,5,4,3,6,2,7,1]=>[7,6,4,5,8,3,2,1]
[8,4,5,3,6,2,7,1]=>[7,6,5,8,4,3,2,1]
[8,5,3,4,6,2,7,1]=>[7,6,5,3,8,4,2,1]
[8,4,3,5,6,2,7,1]=>[7,6,4,8,3,5,2,1]
[8,3,4,5,6,2,7,1]=>[7,6,8,3,4,5,2,1]
[8,6,5,4,2,3,7,1]=>[7,4,2,5,6,8,3,1]
[8,5,6,4,2,3,7,1]=>[7,4,2,6,8,5,3,1]
[8,6,4,5,2,3,7,1]=>[7,5,2,6,4,8,3,1]
[8,5,4,6,2,3,7,1]=>[7,6,2,5,8,4,3,1]
[8,6,5,3,2,4,7,1]=>[7,3,5,2,6,8,4,1]
[8,6,4,3,2,5,7,1]=>[7,3,4,6,2,8,5,1]
[8,6,3,4,2,5,7,1]=>[7,4,6,3,2,8,5,1]
[8,6,4,2,3,5,7,1]=>[7,4,2,6,3,8,5,1]
[8,6,2,3,4,5,7,1]=>[7,6,2,3,4,8,5,1]
[8,5,4,3,2,6,7,1]=>[7,3,4,5,8,2,6,1]
[8,4,5,3,2,6,7,1]=>[7,3,5,8,4,2,6,1]
[8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]
[8,4,3,5,2,6,7,1]=>[7,5,4,8,3,2,6,1]
[8,3,4,5,2,6,7,1]=>[7,5,8,3,4,2,6,1]
[8,5,4,2,3,6,7,1]=>[7,4,2,5,8,3,6,1]
[8,4,5,2,3,6,7,1]=>[7,5,2,8,4,3,6,1]
[8,5,2,3,4,6,7,1]=>[7,5,2,3,8,4,6,1]
[8,4,3,2,5,6,7,1]=>[7,3,4,8,2,5,6,1]
[8,3,4,2,5,6,7,1]=>[7,4,8,3,2,5,6,1]
[8,4,2,3,5,6,7,1]=>[7,4,2,8,3,5,6,1]
[8,3,2,4,5,6,7,1]=>[7,3,8,2,4,5,6,1]
[8,2,3,4,5,6,7,1]=>[7,8,2,3,4,5,6,1]
[7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,2,1]
[6,7,5,4,3,2,8,1]=>[8,3,4,5,7,6,2,1]
[7,5,6,4,3,2,8,1]=>[8,3,4,6,7,5,2,1]
[6,5,7,4,3,2,8,1]=>[8,3,4,7,6,5,2,1]
[5,6,7,4,3,2,8,1]=>[8,3,4,7,5,6,2,1]
[7,6,4,5,3,2,8,1]=>[8,3,5,6,4,7,2,1]
[6,7,4,5,3,2,8,1]=>[8,3,5,7,4,6,2,1]
[7,5,4,6,3,2,8,1]=>[8,3,6,5,7,4,2,1]
[7,4,5,6,3,2,8,1]=>[8,3,6,7,4,5,2,1]
[6,5,4,7,3,2,8,1]=>[8,3,7,5,6,4,2,1]
[5,6,4,7,3,2,8,1]=>[8,3,7,6,5,4,2,1]
[6,4,5,7,3,2,8,1]=>[8,3,7,6,4,5,2,1]
[5,4,6,7,3,2,8,1]=>[8,3,7,5,4,6,2,1]
[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1]
[7,6,5,3,4,2,8,1]=>[8,4,5,3,6,7,2,1]
[7,5,6,3,4,2,8,1]=>[8,4,6,3,7,5,2,1]
[6,5,7,3,4,2,8,1]=>[8,4,7,3,6,5,2,1]
[5,6,7,3,4,2,8,1]=>[8,4,7,3,5,6,2,1]
[7,6,4,3,5,2,8,1]=>[8,5,4,6,3,7,2,1]
[6,7,4,3,5,2,8,1]=>[8,5,4,7,3,6,2,1]
[7,6,3,4,5,2,8,1]=>[8,5,6,3,4,7,2,1]
[7,5,4,3,6,2,8,1]=>[8,6,4,5,7,3,2,1]
[7,4,5,3,6,2,8,1]=>[8,6,5,7,4,3,2,1]
[7,5,3,4,6,2,8,1]=>[8,6,5,3,7,4,2,1]
[7,3,4,5,6,2,8,1]=>[8,6,7,3,4,5,2,1]
[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1]
[5,6,4,3,7,2,8,1]=>[8,7,4,6,5,3,2,1]
[6,4,5,3,7,2,8,1]=>[8,7,5,6,4,3,2,1]
[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]
[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]
[6,5,3,4,7,2,8,1]=>[8,7,5,3,6,4,2,1]
[5,6,3,4,7,2,8,1]=>[8,7,6,3,5,4,2,1]
[6,4,3,5,7,2,8,1]=>[8,7,4,6,3,5,2,1]
[6,3,4,5,7,2,8,1]=>[8,7,6,3,4,5,2,1]
[5,4,3,6,7,2,8,1]=>[8,7,4,5,3,6,2,1]
[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]
[5,3,4,6,7,2,8,1]=>[8,7,5,3,4,6,2,1]
[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]
[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]
[7,6,5,4,2,3,8,1]=>[8,4,2,5,6,7,3,1]
[6,7,5,4,2,3,8,1]=>[8,4,2,5,7,6,3,1]
[7,5,6,4,2,3,8,1]=>[8,4,2,6,7,5,3,1]
[6,5,7,4,2,3,8,1]=>[8,4,2,7,6,5,3,1]
[5,6,7,4,2,3,8,1]=>[8,4,2,7,5,6,3,1]
[7,6,4,5,2,3,8,1]=>[8,5,2,6,4,7,3,1]
[6,7,4,5,2,3,8,1]=>[8,5,2,7,4,6,3,1]
[7,5,4,6,2,3,8,1]=>[8,6,2,5,7,4,3,1]
[7,4,5,6,2,3,8,1]=>[8,6,2,7,4,5,3,1]
[6,5,4,7,2,3,8,1]=>[8,7,2,5,6,4,3,1]
[5,6,4,7,2,3,8,1]=>[8,7,2,6,5,4,3,1]
[6,4,5,7,2,3,8,1]=>[8,7,2,6,4,5,3,1]
[5,4,6,7,2,3,8,1]=>[8,7,2,5,4,6,3,1]
[4,5,6,7,2,3,8,1]=>[8,7,2,4,5,6,3,1]
[7,6,5,3,2,4,8,1]=>[8,3,5,2,6,7,4,1]
[6,7,5,3,2,4,8,1]=>[8,3,5,2,7,6,4,1]
[7,5,6,3,2,4,8,1]=>[8,3,6,2,7,5,4,1]
[6,5,7,3,2,4,8,1]=>[8,3,7,2,6,5,4,1]
[7,6,5,2,3,4,8,1]=>[8,5,2,3,6,7,4,1]
[7,5,6,2,3,4,8,1]=>[8,6,2,3,7,5,4,1]
[5,6,7,2,3,4,8,1]=>[8,7,2,3,5,6,4,1]
[7,6,4,3,2,5,8,1]=>[8,3,4,6,2,7,5,1]
[6,7,4,3,2,5,8,1]=>[8,3,4,7,2,6,5,1]
[7,6,3,4,2,5,8,1]=>[8,4,6,3,2,7,5,1]
[7,6,4,2,3,5,8,1]=>[8,4,2,6,3,7,5,1]
[6,7,4,2,3,5,8,1]=>[8,4,2,7,3,6,5,1]
[7,6,3,2,4,5,8,1]=>[8,3,6,2,4,7,5,1]
[6,7,3,2,4,5,8,1]=>[8,3,7,2,4,6,5,1]
[7,6,2,3,4,5,8,1]=>[8,6,2,3,4,7,5,1]
[6,7,2,3,4,5,8,1]=>[8,7,2,3,4,6,5,1]
[7,5,4,3,2,6,8,1]=>[8,3,4,5,7,2,6,1]
[7,4,5,3,2,6,8,1]=>[8,3,5,7,4,2,6,1]
[7,5,3,4,2,6,8,1]=>[8,4,5,3,7,2,6,1]
[7,4,3,5,2,6,8,1]=>[8,5,4,7,3,2,6,1]
[7,3,4,5,2,6,8,1]=>[8,5,7,3,4,2,6,1]
[7,5,4,2,3,6,8,1]=>[8,4,2,5,7,3,6,1]
[7,4,5,2,3,6,8,1]=>[8,5,2,7,4,3,6,1]
[7,5,3,2,4,6,8,1]=>[8,3,5,2,7,4,6,1]
[7,5,2,3,4,6,8,1]=>[8,5,2,3,7,4,6,1]
[7,4,3,2,5,6,8,1]=>[8,3,4,7,2,5,6,1]
[7,3,4,2,5,6,8,1]=>[8,4,7,3,2,5,6,1]
[7,4,2,3,5,6,8,1]=>[8,4,2,7,3,5,6,1]
[7,3,2,4,5,6,8,1]=>[8,3,7,2,4,5,6,1]
[7,2,3,4,5,6,8,1]=>[8,7,2,3,4,5,6,1]
[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1]
[6,4,5,3,2,7,8,1]=>[8,3,5,6,4,2,7,1]
[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1]
[4,5,6,3,2,7,8,1]=>[8,3,6,4,5,2,7,1]
[6,5,3,4,2,7,8,1]=>[8,4,5,3,6,2,7,1]
[5,6,3,4,2,7,8,1]=>[8,4,6,3,5,2,7,1]
[6,4,3,5,2,7,8,1]=>[8,5,4,6,3,2,7,1]
[6,3,4,5,2,7,8,1]=>[8,5,6,3,4,2,7,1]
[5,4,3,6,2,7,8,1]=>[8,6,4,5,3,2,7,1]
[4,5,3,6,2,7,8,1]=>[8,6,5,4,3,2,7,1]
[5,3,4,6,2,7,8,1]=>[8,6,5,3,4,2,7,1]
[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]
[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]
[6,5,4,2,3,7,8,1]=>[8,4,2,5,6,3,7,1]
[5,6,4,2,3,7,8,1]=>[8,4,2,6,5,3,7,1]
[6,4,5,2,3,7,8,1]=>[8,5,2,6,4,3,7,1]
[5,4,6,2,3,7,8,1]=>[8,6,2,5,4,3,7,1]
[4,5,6,2,3,7,8,1]=>[8,6,2,4,5,3,7,1]
[6,5,3,2,4,7,8,1]=>[8,3,5,2,6,4,7,1]
[6,5,2,3,4,7,8,1]=>[8,5,2,3,6,4,7,1]
[5,6,2,3,4,7,8,1]=>[8,6,2,3,5,4,7,1]
[6,4,2,3,5,7,8,1]=>[8,4,2,6,3,5,7,1]
[6,3,2,4,5,7,8,1]=>[8,3,6,2,4,5,7,1]
[6,2,3,4,5,7,8,1]=>[8,6,2,3,4,5,7,1]
[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1]
[4,5,3,2,6,7,8,1]=>[8,3,5,4,2,6,7,1]
[5,3,4,2,6,7,8,1]=>[8,4,5,3,2,6,7,1]
[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]
[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]
[5,4,2,3,6,7,8,1]=>[8,4,2,5,3,6,7,1]
[4,5,2,3,6,7,8,1]=>[8,5,2,4,3,6,7,1]
[5,3,2,4,6,7,8,1]=>[8,3,5,2,4,6,7,1]
[5,2,3,4,6,7,8,1]=>[8,5,2,3,4,6,7,1]
[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]
[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]
[4,2,3,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]
[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]
[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]
[8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,2]
[7,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,7,2]
[8,6,7,5,4,3,1,2]=>[3,1,4,5,7,8,6,2]
[7,6,8,5,4,3,1,2]=>[3,1,4,5,8,7,6,2]
[6,7,8,5,4,3,1,2]=>[3,1,4,5,8,6,7,2]
[8,7,5,6,4,3,1,2]=>[3,1,4,6,7,5,8,2]
[7,8,5,6,4,3,1,2]=>[3,1,4,6,8,5,7,2]
[8,6,5,7,4,3,1,2]=>[3,1,4,7,6,8,5,2]
[8,5,6,7,4,3,1,2]=>[3,1,4,7,8,5,6,2]
[7,6,5,8,4,3,1,2]=>[3,1,4,8,6,7,5,2]
[6,7,5,8,4,3,1,2]=>[3,1,4,8,7,6,5,2]
[7,5,6,8,4,3,1,2]=>[3,1,4,8,7,5,6,2]
[6,5,7,8,4,3,1,2]=>[3,1,4,8,6,5,7,2]
[5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2]
[8,7,6,4,5,3,1,2]=>[3,1,5,6,4,7,8,2]
[7,8,6,4,5,3,1,2]=>[3,1,5,6,4,8,7,2]
[8,6,7,4,5,3,1,2]=>[3,1,5,7,4,8,6,2]
[7,6,8,4,5,3,1,2]=>[3,1,5,8,4,7,6,2]
[6,7,8,4,5,3,1,2]=>[3,1,5,8,4,6,7,2]
[8,7,5,4,6,3,1,2]=>[3,1,6,5,7,4,8,2]
[8,7,4,5,6,3,1,2]=>[3,1,6,7,4,5,8,2]
[7,8,4,5,6,3,1,2]=>[3,1,6,8,4,5,7,2]
[8,5,6,4,7,3,1,2]=>[3,1,7,6,8,5,4,2]
[8,6,4,5,7,3,1,2]=>[3,1,7,6,4,8,5,2]
[8,5,4,6,7,3,1,2]=>[3,1,7,5,8,4,6,2]
[7,6,5,4,8,3,1,2]=>[3,1,8,5,6,7,4,2]
[6,7,5,4,8,3,1,2]=>[3,1,8,5,7,6,4,2]
[7,5,6,4,8,3,1,2]=>[3,1,8,6,7,5,4,2]
[6,5,7,4,8,3,1,2]=>[3,1,8,7,6,5,4,2]
[7,6,4,5,8,3,1,2]=>[3,1,8,6,4,7,5,2]
[6,7,4,5,8,3,1,2]=>[3,1,8,7,4,6,5,2]
[7,5,4,6,8,3,1,2]=>[3,1,8,5,7,4,6,2]
[7,4,5,6,8,3,1,2]=>[3,1,8,7,4,5,6,2]
[6,5,4,7,8,3,1,2]=>[3,1,8,5,6,4,7,2]
[5,6,4,7,8,3,1,2]=>[3,1,8,6,5,4,7,2]
[6,4,5,7,8,3,1,2]=>[3,1,8,6,4,5,7,2]
[5,4,6,7,8,3,1,2]=>[3,1,8,5,4,6,7,2]
[4,5,6,7,8,3,1,2]=>[3,1,8,4,5,6,7,2]
[8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,2]
[7,8,6,5,3,4,1,2]=>[4,1,5,3,6,8,7,2]
[8,6,7,5,3,4,1,2]=>[4,1,5,3,7,8,6,2]
[7,6,8,5,3,4,1,2]=>[4,1,5,3,8,7,6,2]
[6,7,8,5,3,4,1,2]=>[4,1,5,3,8,6,7,2]
[8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,2]
[7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,2]
[8,6,5,7,3,4,1,2]=>[4,1,7,3,6,8,5,2]
[8,5,6,7,3,4,1,2]=>[4,1,7,3,8,5,6,2]
[7,6,5,8,3,4,1,2]=>[4,1,8,3,6,7,5,2]
[6,7,5,8,3,4,1,2]=>[4,1,8,3,7,6,5,2]
[7,5,6,8,3,4,1,2]=>[4,1,8,3,7,5,6,2]
[6,5,7,8,3,4,1,2]=>[4,1,8,3,6,5,7,2]
[5,6,7,8,3,4,1,2]=>[4,1,8,3,5,6,7,2]
[8,7,6,4,3,5,1,2]=>[5,1,4,6,3,7,8,2]
[7,8,6,4,3,5,1,2]=>[5,1,4,6,3,8,7,2]
[8,6,7,4,3,5,1,2]=>[5,1,4,7,3,8,6,2]
[7,6,8,4,3,5,1,2]=>[5,1,4,8,3,7,6,2]
[6,7,8,4,3,5,1,2]=>[5,1,4,8,3,6,7,2]
[8,7,6,3,4,5,1,2]=>[5,1,6,3,4,7,8,2]
[7,8,6,3,4,5,1,2]=>[5,1,6,3,4,8,7,2]
[8,6,7,3,4,5,1,2]=>[5,1,7,3,4,8,6,2]
[7,6,8,3,4,5,1,2]=>[5,1,8,3,4,7,6,2]
[6,7,8,3,4,5,1,2]=>[5,1,8,3,4,6,7,2]
[8,7,5,4,3,6,1,2]=>[6,1,4,5,7,3,8,2]
[7,8,5,4,3,6,1,2]=>[6,1,4,5,8,3,7,2]
[8,7,4,5,3,6,1,2]=>[6,1,5,7,4,3,8,2]
[7,8,4,5,3,6,1,2]=>[6,1,5,8,4,3,7,2]
[8,7,5,3,4,6,1,2]=>[6,1,5,3,7,4,8,2]
[7,8,5,3,4,6,1,2]=>[6,1,5,3,8,4,7,2]
[8,7,4,3,5,6,1,2]=>[6,1,4,7,3,5,8,2]
[7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,7,2]
[8,7,3,4,5,6,1,2]=>[6,1,7,3,4,5,8,2]
[7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,7,2]
[8,6,5,4,3,7,1,2]=>[7,1,4,5,6,8,3,2]
[8,5,4,6,3,7,1,2]=>[7,1,6,5,8,4,3,2]
[8,5,6,3,4,7,1,2]=>[7,1,6,3,8,5,4,2]
[8,6,4,3,5,7,1,2]=>[7,1,4,6,3,8,5,2]
[8,6,3,4,5,7,1,2]=>[7,1,6,3,4,8,5,2]
[8,5,4,3,6,7,1,2]=>[7,1,4,5,8,3,6,2]
[8,5,3,4,6,7,1,2]=>[7,1,5,3,8,4,6,2]
[8,4,3,5,6,7,1,2]=>[7,1,4,8,3,5,6,2]
[8,3,4,5,6,7,1,2]=>[7,1,8,3,4,5,6,2]
[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2]
[6,7,5,4,3,8,1,2]=>[8,1,4,5,7,6,3,2]
[7,5,6,4,3,8,1,2]=>[8,1,4,6,7,5,3,2]
[6,5,7,4,3,8,1,2]=>[8,1,4,7,6,5,3,2]
[5,6,7,4,3,8,1,2]=>[8,1,4,7,5,6,3,2]
[7,6,4,5,3,8,1,2]=>[8,1,5,6,4,7,3,2]
[6,7,4,5,3,8,1,2]=>[8,1,5,7,4,6,3,2]
[7,5,4,6,3,8,1,2]=>[8,1,6,5,7,4,3,2]
[7,4,5,6,3,8,1,2]=>[8,1,6,7,4,5,3,2]
[6,5,4,7,3,8,1,2]=>[8,1,7,5,6,4,3,2]
[5,6,4,7,3,8,1,2]=>[8,1,7,6,5,4,3,2]
[6,4,5,7,3,8,1,2]=>[8,1,7,6,4,5,3,2]
[5,4,6,7,3,8,1,2]=>[8,1,7,5,4,6,3,2]
[4,5,6,7,3,8,1,2]=>[8,1,7,4,5,6,3,2]
[7,6,5,3,4,8,1,2]=>[8,1,5,3,6,7,4,2]
[6,7,5,3,4,8,1,2]=>[8,1,5,3,7,6,4,2]
[7,5,6,3,4,8,1,2]=>[8,1,6,3,7,5,4,2]
[6,5,7,3,4,8,1,2]=>[8,1,7,3,6,5,4,2]
[5,6,7,3,4,8,1,2]=>[8,1,7,3,5,6,4,2]
[7,6,4,3,5,8,1,2]=>[8,1,4,6,3,7,5,2]
[6,7,4,3,5,8,1,2]=>[8,1,4,7,3,6,5,2]
[7,6,3,4,5,8,1,2]=>[8,1,6,3,4,7,5,2]
[6,7,3,4,5,8,1,2]=>[8,1,7,3,4,6,5,2]
[7,5,4,3,6,8,1,2]=>[8,1,4,5,7,3,6,2]
[7,4,5,3,6,8,1,2]=>[8,1,5,7,4,3,6,2]
[7,5,3,4,6,8,1,2]=>[8,1,5,3,7,4,6,2]
[7,3,4,5,6,8,1,2]=>[8,1,7,3,4,5,6,2]
[6,5,4,3,7,8,1,2]=>[8,1,4,5,6,3,7,2]
[5,6,4,3,7,8,1,2]=>[8,1,4,6,5,3,7,2]
[6,4,5,3,7,8,1,2]=>[8,1,5,6,4,3,7,2]
[5,4,6,3,7,8,1,2]=>[8,1,6,5,4,3,7,2]
[4,5,6,3,7,8,1,2]=>[8,1,6,4,5,3,7,2]
[6,5,3,4,7,8,1,2]=>[8,1,5,3,6,4,7,2]
[5,6,3,4,7,8,1,2]=>[8,1,6,3,5,4,7,2]
[6,4,3,5,7,8,1,2]=>[8,1,4,6,3,5,7,2]
[6,3,4,5,7,8,1,2]=>[8,1,6,3,4,5,7,2]
[5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2]
[4,5,3,6,7,8,1,2]=>[8,1,5,4,3,6,7,2]
[5,3,4,6,7,8,1,2]=>[8,1,5,3,4,6,7,2]
[4,3,5,6,7,8,1,2]=>[8,1,4,3,5,6,7,2]
[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]
[8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,3]
[7,8,6,5,4,2,1,3]=>[2,4,1,5,6,8,7,3]
[8,6,7,5,4,2,1,3]=>[2,4,1,5,7,8,6,3]
[7,6,8,5,4,2,1,3]=>[2,4,1,5,8,7,6,3]
[6,7,8,5,4,2,1,3]=>[2,4,1,5,8,6,7,3]
[8,7,5,6,4,2,1,3]=>[2,4,1,6,7,5,8,3]
[7,8,5,6,4,2,1,3]=>[2,4,1,6,8,5,7,3]
[8,6,5,7,4,2,1,3]=>[2,4,1,7,6,8,5,3]
[8,5,6,7,4,2,1,3]=>[2,4,1,7,8,5,6,3]
[7,6,5,8,4,2,1,3]=>[2,4,1,8,6,7,5,3]
[6,7,5,8,4,2,1,3]=>[2,4,1,8,7,6,5,3]
[7,5,6,8,4,2,1,3]=>[2,4,1,8,7,5,6,3]
[6,5,7,8,4,2,1,3]=>[2,4,1,8,6,5,7,3]
[5,6,7,8,4,2,1,3]=>[2,4,1,8,5,6,7,3]
[8,7,6,4,5,2,1,3]=>[2,5,1,6,4,7,8,3]
[7,8,6,4,5,2,1,3]=>[2,5,1,6,4,8,7,3]
[8,6,7,4,5,2,1,3]=>[2,5,1,7,4,8,6,3]
[7,6,8,4,5,2,1,3]=>[2,5,1,8,4,7,6,3]
[6,7,8,4,5,2,1,3]=>[2,5,1,8,4,6,7,3]
[8,7,5,4,6,2,1,3]=>[2,6,1,5,7,4,8,3]
[7,8,5,4,6,2,1,3]=>[2,6,1,5,8,4,7,3]
[8,7,4,5,6,2,1,3]=>[2,6,1,7,4,5,8,3]
[7,8,4,5,6,2,1,3]=>[2,6,1,8,4,5,7,3]
[8,6,5,4,7,2,1,3]=>[2,7,1,5,6,8,4,3]
[8,6,4,5,7,2,1,3]=>[2,7,1,6,4,8,5,3]
[8,5,4,6,7,2,1,3]=>[2,7,1,5,8,4,6,3]
[8,4,5,6,7,2,1,3]=>[2,7,1,8,4,5,6,3]
[7,6,5,4,8,2,1,3]=>[2,8,1,5,6,7,4,3]
[6,7,5,4,8,2,1,3]=>[2,8,1,5,7,6,4,3]
[7,5,6,4,8,2,1,3]=>[2,8,1,6,7,5,4,3]
[6,5,7,4,8,2,1,3]=>[2,8,1,7,6,5,4,3]
[5,6,7,4,8,2,1,3]=>[2,8,1,7,5,6,4,3]
[7,6,4,5,8,2,1,3]=>[2,8,1,6,4,7,5,3]
[6,7,4,5,8,2,1,3]=>[2,8,1,7,4,6,5,3]
[7,5,4,6,8,2,1,3]=>[2,8,1,5,7,4,6,3]
[7,4,5,6,8,2,1,3]=>[2,8,1,7,4,5,6,3]
[6,5,4,7,8,2,1,3]=>[2,8,1,5,6,4,7,3]
[5,6,4,7,8,2,1,3]=>[2,8,1,6,5,4,7,3]
[5,4,6,7,8,2,1,3]=>[2,8,1,5,4,6,7,3]
[4,5,6,7,8,2,1,3]=>[2,8,1,4,5,6,7,3]
[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3]
[7,8,6,5,4,1,2,3]=>[4,1,2,5,6,8,7,3]
[7,6,8,5,4,1,2,3]=>[4,1,2,5,8,7,6,3]
[6,7,8,5,4,1,2,3]=>[4,1,2,5,8,6,7,3]
[7,8,5,6,4,1,2,3]=>[4,1,2,6,8,5,7,3]
[8,6,5,7,4,1,2,3]=>[4,1,2,7,6,8,5,3]
[8,5,6,7,4,1,2,3]=>[4,1,2,7,8,5,6,3]
[7,6,5,8,4,1,2,3]=>[4,1,2,8,6,7,5,3]
[6,7,5,8,4,1,2,3]=>[4,1,2,8,7,6,5,3]
[7,5,6,8,4,1,2,3]=>[4,1,2,8,7,5,6,3]
[6,5,7,8,4,1,2,3]=>[4,1,2,8,6,5,7,3]
[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3]
[8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,3]
[7,8,6,4,5,1,2,3]=>[5,1,2,6,4,8,7,3]
[8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,3]
[6,7,8,4,5,1,2,3]=>[5,1,2,8,4,6,7,3]
[8,7,5,4,6,1,2,3]=>[6,1,2,5,7,4,8,3]
[7,8,5,4,6,1,2,3]=>[6,1,2,5,8,4,7,3]
[8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,3]
[7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,7,3]
[8,6,5,4,7,1,2,3]=>[7,1,2,5,6,8,4,3]
[8,5,6,4,7,1,2,3]=>[7,1,2,6,8,5,4,3]
[8,6,4,5,7,1,2,3]=>[7,1,2,6,4,8,5,3]
[8,5,4,6,7,1,2,3]=>[7,1,2,5,8,4,6,3]
[8,4,5,6,7,1,2,3]=>[7,1,2,8,4,5,6,3]
[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]
[6,7,5,4,8,1,2,3]=>[8,1,2,5,7,6,4,3]
[7,5,6,4,8,1,2,3]=>[8,1,2,6,7,5,4,3]
[6,5,7,4,8,1,2,3]=>[8,1,2,7,6,5,4,3]
[5,6,7,4,8,1,2,3]=>[8,1,2,7,5,6,4,3]
[7,6,4,5,8,1,2,3]=>[8,1,2,6,4,7,5,3]
[6,7,4,5,8,1,2,3]=>[8,1,2,7,4,6,5,3]
[7,5,4,6,8,1,2,3]=>[8,1,2,5,7,4,6,3]
[7,4,5,6,8,1,2,3]=>[8,1,2,7,4,5,6,3]
[6,5,4,7,8,1,2,3]=>[8,1,2,5,6,4,7,3]
[5,6,4,7,8,1,2,3]=>[8,1,2,6,5,4,7,3]
[6,4,5,7,8,1,2,3]=>[8,1,2,6,4,5,7,3]
[5,4,6,7,8,1,2,3]=>[8,1,2,5,4,6,7,3]
[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]
[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4]
[7,8,6,5,3,2,1,4]=>[2,3,5,1,6,8,7,4]
[8,6,7,5,3,2,1,4]=>[2,3,5,1,7,8,6,4]
[7,6,8,5,3,2,1,4]=>[2,3,5,1,8,7,6,4]
[6,7,8,5,3,2,1,4]=>[2,3,5,1,8,6,7,4]
[8,7,5,6,3,2,1,4]=>[2,3,6,1,7,5,8,4]
[7,8,5,6,3,2,1,4]=>[2,3,6,1,8,5,7,4]
[8,6,5,7,3,2,1,4]=>[2,3,7,1,6,8,5,4]
[8,5,6,7,3,2,1,4]=>[2,3,7,1,8,5,6,4]
[7,6,5,8,3,2,1,4]=>[2,3,8,1,6,7,5,4]
[6,7,5,8,3,2,1,4]=>[2,3,8,1,7,6,5,4]
[7,5,6,8,3,2,1,4]=>[2,3,8,1,7,5,6,4]
[6,5,7,8,3,2,1,4]=>[2,3,8,1,6,5,7,4]
[5,6,7,8,3,2,1,4]=>[2,3,8,1,5,6,7,4]
[8,7,6,5,2,3,1,4]=>[3,5,2,1,6,7,8,4]
[7,8,6,5,2,3,1,4]=>[3,5,2,1,6,8,7,4]
[8,6,7,5,2,3,1,4]=>[3,5,2,1,7,8,6,4]
[7,6,8,5,2,3,1,4]=>[3,5,2,1,8,7,6,4]
[6,7,8,5,2,3,1,4]=>[3,5,2,1,8,6,7,4]
[8,7,5,6,2,3,1,4]=>[3,6,2,1,7,5,8,4]
[7,8,5,6,2,3,1,4]=>[3,6,2,1,8,5,7,4]
[8,6,5,7,2,3,1,4]=>[3,7,2,1,6,8,5,4]
[8,5,6,7,2,3,1,4]=>[3,7,2,1,8,5,6,4]
[7,6,5,8,2,3,1,4]=>[3,8,2,1,6,7,5,4]
[6,7,5,8,2,3,1,4]=>[3,8,2,1,7,6,5,4]
[7,5,6,8,2,3,1,4]=>[3,8,2,1,7,5,6,4]
[6,5,7,8,2,3,1,4]=>[3,8,2,1,6,5,7,4]
[5,6,7,8,2,3,1,4]=>[3,8,2,1,5,6,7,4]
[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4]
[7,8,6,5,3,1,2,4]=>[3,1,5,2,6,8,7,4]
[8,6,7,5,3,1,2,4]=>[3,1,5,2,7,8,6,4]
[7,6,8,5,3,1,2,4]=>[3,1,5,2,8,7,6,4]
[6,7,8,5,3,1,2,4]=>[3,1,5,2,8,6,7,4]
[8,7,5,6,3,1,2,4]=>[3,1,6,2,7,5,8,4]
[7,8,5,6,3,1,2,4]=>[3,1,6,2,8,5,7,4]
[8,6,5,7,3,1,2,4]=>[3,1,7,2,6,8,5,4]
[8,5,6,7,3,1,2,4]=>[3,1,7,2,8,5,6,4]
[7,6,5,8,3,1,2,4]=>[3,1,8,2,6,7,5,4]
[6,7,5,8,3,1,2,4]=>[3,1,8,2,7,6,5,4]
[7,5,6,8,3,1,2,4]=>[3,1,8,2,7,5,6,4]
[6,5,7,8,3,1,2,4]=>[3,1,8,2,6,5,7,4]
[5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]
[8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,4]
[7,8,6,5,2,1,3,4]=>[2,5,1,3,6,8,7,4]
[8,6,7,5,2,1,3,4]=>[2,5,1,3,7,8,6,4]
[7,6,8,5,2,1,3,4]=>[2,5,1,3,8,7,6,4]
[6,7,8,5,2,1,3,4]=>[2,5,1,3,8,6,7,4]
[8,7,5,6,2,1,3,4]=>[2,6,1,3,7,5,8,4]
[7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,7,4]
[8,6,5,7,2,1,3,4]=>[2,7,1,3,6,8,5,4]
[8,5,6,7,2,1,3,4]=>[2,7,1,3,8,5,6,4]
[7,6,5,8,2,1,3,4]=>[2,8,1,3,6,7,5,4]
[6,7,5,8,2,1,3,4]=>[2,8,1,3,7,6,5,4]
[7,5,6,8,2,1,3,4]=>[2,8,1,3,7,5,6,4]
[6,5,7,8,2,1,3,4]=>[2,8,1,3,6,5,7,4]
[5,6,7,8,2,1,3,4]=>[2,8,1,3,5,6,7,4]
[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]
[7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4]
[8,6,7,5,1,2,3,4]=>[5,1,2,3,7,8,6,4]
[7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4]
[6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4]
[8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,4]
[7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,7,4]
[8,6,5,7,1,2,3,4]=>[7,1,2,3,6,8,5,4]
[8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,4]
[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4]
[6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4]
[7,5,6,8,1,2,3,4]=>[8,1,2,3,7,5,6,4]
[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4]
[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5]
[7,8,6,4,3,2,1,5]=>[2,3,4,6,1,8,7,5]
[8,6,7,4,3,2,1,5]=>[2,3,4,7,1,8,6,5]
[7,6,8,4,3,2,1,5]=>[2,3,4,8,1,7,6,5]
[6,7,8,4,3,2,1,5]=>[2,3,4,8,1,6,7,5]
[8,7,6,3,4,2,1,5]=>[2,4,6,3,1,7,8,5]
[7,8,6,3,4,2,1,5]=>[2,4,6,3,1,8,7,5]
[8,6,7,3,4,2,1,5]=>[2,4,7,3,1,8,6,5]
[6,7,8,3,4,2,1,5]=>[2,4,8,3,1,6,7,5]
[8,7,6,4,2,3,1,5]=>[3,4,2,6,1,7,8,5]
[7,8,6,4,2,3,1,5]=>[3,4,2,6,1,8,7,5]
[8,6,7,4,2,3,1,5]=>[3,4,2,7,1,8,6,5]
[7,6,8,4,2,3,1,5]=>[3,4,2,8,1,7,6,5]
[6,7,8,4,2,3,1,5]=>[3,4,2,8,1,6,7,5]
[8,7,6,3,2,4,1,5]=>[4,3,6,2,1,7,8,5]
[8,6,7,3,2,4,1,5]=>[4,3,7,2,1,8,6,5]
[7,6,8,3,2,4,1,5]=>[4,3,8,2,1,7,6,5]
[6,7,8,3,2,4,1,5]=>[4,3,8,2,1,6,7,5]
[8,7,6,2,3,4,1,5]=>[4,6,2,3,1,7,8,5]
[7,8,6,2,3,4,1,5]=>[4,6,2,3,1,8,7,5]
[8,6,7,2,3,4,1,5]=>[4,7,2,3,1,8,6,5]
[7,6,8,2,3,4,1,5]=>[4,8,2,3,1,7,6,5]
[6,7,8,2,3,4,1,5]=>[4,8,2,3,1,6,7,5]
[8,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,8,5]
[7,8,6,4,3,1,2,5]=>[3,1,4,6,2,8,7,5]
[8,6,7,4,3,1,2,5]=>[3,1,4,7,2,8,6,5]
[7,6,8,4,3,1,2,5]=>[3,1,4,8,2,7,6,5]
[6,7,8,4,3,1,2,5]=>[3,1,4,8,2,6,7,5]
[8,7,6,3,4,1,2,5]=>[4,1,6,3,2,7,8,5]
[7,8,6,3,4,1,2,5]=>[4,1,6,3,2,8,7,5]
[8,6,7,3,4,1,2,5]=>[4,1,7,3,2,8,6,5]
[7,6,8,3,4,1,2,5]=>[4,1,8,3,2,7,6,5]
[6,7,8,3,4,1,2,5]=>[4,1,8,3,2,6,7,5]
[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]
[7,8,6,4,2,1,3,5]=>[2,4,1,6,3,8,7,5]
[8,6,7,4,2,1,3,5]=>[2,4,1,7,3,8,6,5]
[7,6,8,4,2,1,3,5]=>[2,4,1,8,3,7,6,5]
[6,7,8,4,2,1,3,5]=>[2,4,1,8,3,6,7,5]
[8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,5]
[7,8,6,4,1,2,3,5]=>[4,1,2,6,3,8,7,5]
[8,6,7,4,1,2,3,5]=>[4,1,2,7,3,8,6,5]
[7,6,8,4,1,2,3,5]=>[4,1,2,8,3,7,6,5]
[6,7,8,4,1,2,3,5]=>[4,1,2,8,3,6,7,5]
[8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,5]
[7,8,6,3,2,1,4,5]=>[2,3,6,1,4,8,7,5]
[8,6,7,3,2,1,4,5]=>[2,3,7,1,4,8,6,5]
[7,6,8,3,2,1,4,5]=>[2,3,8,1,4,7,6,5]
[6,7,8,3,2,1,4,5]=>[2,3,8,1,4,6,7,5]
[8,7,6,2,3,1,4,5]=>[3,6,2,1,4,7,8,5]
[7,8,6,2,3,1,4,5]=>[3,6,2,1,4,8,7,5]
[8,6,7,2,3,1,4,5]=>[3,7,2,1,4,8,6,5]
[7,6,8,2,3,1,4,5]=>[3,8,2,1,4,7,6,5]
[6,7,8,2,3,1,4,5]=>[3,8,2,1,4,6,7,5]
[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]
[7,8,6,3,1,2,4,5]=>[3,1,6,2,4,8,7,5]
[8,6,7,3,1,2,4,5]=>[3,1,7,2,4,8,6,5]
[7,6,8,3,1,2,4,5]=>[3,1,8,2,4,7,6,5]
[6,7,8,3,1,2,4,5]=>[3,1,8,2,4,6,7,5]
[8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,5]
[7,8,6,2,1,3,4,5]=>[2,6,1,3,4,8,7,5]
[8,6,7,2,1,3,4,5]=>[2,7,1,3,4,8,6,5]
[7,6,8,2,1,3,4,5]=>[2,8,1,3,4,7,6,5]
[6,7,8,2,1,3,4,5]=>[2,8,1,3,4,6,7,5]
[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5]
[7,8,6,1,2,3,4,5]=>[6,1,2,3,4,8,7,5]
[8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,5]
[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5]
[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]
[8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,6]
[7,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,7,6]
[8,7,4,5,3,2,1,6]=>[2,3,5,7,4,1,8,6]
[7,8,4,5,3,2,1,6]=>[2,3,5,8,4,1,7,6]
[8,7,5,3,4,2,1,6]=>[2,4,5,3,7,1,8,6]
[8,7,4,3,5,2,1,6]=>[2,5,4,7,3,1,8,6]
[7,8,4,3,5,2,1,6]=>[2,5,4,8,3,1,7,6]
[8,7,3,4,5,2,1,6]=>[2,5,7,3,4,1,8,6]
[7,8,3,4,5,2,1,6]=>[2,5,8,3,4,1,7,6]
[8,7,5,4,2,3,1,6]=>[3,4,2,5,7,1,8,6]
[8,7,4,5,2,3,1,6]=>[3,5,2,7,4,1,8,6]
[7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,7,6]
[8,7,5,3,2,4,1,6]=>[4,3,5,2,7,1,8,6]
[7,8,5,3,2,4,1,6]=>[4,3,5,2,8,1,7,6]
[8,7,5,2,3,4,1,6]=>[4,5,2,3,7,1,8,6]
[7,8,5,2,3,4,1,6]=>[4,5,2,3,8,1,7,6]
[8,7,4,3,2,5,1,6]=>[5,3,4,7,2,1,8,6]
[7,8,4,3,2,5,1,6]=>[5,3,4,8,2,1,7,6]
[8,7,3,4,2,5,1,6]=>[5,4,7,3,2,1,8,6]
[7,8,3,4,2,5,1,6]=>[5,4,8,3,2,1,7,6]
[8,7,4,2,3,5,1,6]=>[5,4,2,7,3,1,8,6]
[7,8,4,2,3,5,1,6]=>[5,4,2,8,3,1,7,6]
[8,7,3,2,4,5,1,6]=>[5,3,7,2,4,1,8,6]
[7,8,3,2,4,5,1,6]=>[5,3,8,2,4,1,7,6]
[8,7,2,3,4,5,1,6]=>[5,7,2,3,4,1,8,6]
[7,8,2,3,4,5,1,6]=>[5,8,2,3,4,1,7,6]
[8,7,5,4,3,1,2,6]=>[3,1,4,5,7,2,8,6]
[7,8,5,4,3,1,2,6]=>[3,1,4,5,8,2,7,6]
[8,7,5,3,4,1,2,6]=>[4,1,5,3,7,2,8,6]
[7,8,5,3,4,1,2,6]=>[4,1,5,3,8,2,7,6]
[8,7,4,3,5,1,2,6]=>[5,1,4,7,3,2,8,6]
[7,8,4,3,5,1,2,6]=>[5,1,4,8,3,2,7,6]
[8,7,3,4,5,1,2,6]=>[5,1,7,3,4,2,8,6]
[7,8,3,4,5,1,2,6]=>[5,1,8,3,4,2,7,6]
[8,7,5,4,2,1,3,6]=>[2,4,1,5,7,3,8,6]
[7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]
[7,8,4,5,2,1,3,6]=>[2,5,1,8,4,3,7,6]
[8,7,5,4,1,2,3,6]=>[4,1,2,5,7,3,8,6]
[7,8,5,4,1,2,3,6]=>[4,1,2,5,8,3,7,6]
[8,7,4,5,1,2,3,6]=>[5,1,2,7,4,3,8,6]
[7,8,4,5,1,2,3,6]=>[5,1,2,8,4,3,7,6]
[8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]
[7,8,5,3,2,1,4,6]=>[2,3,5,1,8,4,7,6]
[8,7,5,2,3,1,4,6]=>[3,5,2,1,7,4,8,6]
[7,8,5,2,3,1,4,6]=>[3,5,2,1,8,4,7,6]
[8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]
[7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,7,6]
[8,7,5,2,1,3,4,6]=>[2,5,1,3,7,4,8,6]
[7,8,5,2,1,3,4,6]=>[2,5,1,3,8,4,7,6]
[8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,6]
[7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,7,6]
[8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,6]
[7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,7,6]
[8,7,3,4,2,1,5,6]=>[2,4,7,3,1,5,8,6]
[7,8,3,4,2,1,5,6]=>[2,4,8,3,1,5,7,6]
[7,8,4,2,3,1,5,6]=>[3,4,2,8,1,5,7,6]
[8,7,3,2,4,1,5,6]=>[4,3,7,2,1,5,8,6]
[7,8,3,2,4,1,5,6]=>[4,3,8,2,1,5,7,6]
[8,7,2,3,4,1,5,6]=>[4,7,2,3,1,5,8,6]
[7,8,2,3,4,1,5,6]=>[4,8,2,3,1,5,7,6]
[8,7,4,3,1,2,5,6]=>[3,1,4,7,2,5,8,6]
[7,8,4,3,1,2,5,6]=>[3,1,4,8,2,5,7,6]
[8,7,3,4,1,2,5,6]=>[4,1,7,3,2,5,8,6]
[7,8,3,4,1,2,5,6]=>[4,1,8,3,2,5,7,6]
[8,7,4,2,1,3,5,6]=>[2,4,1,7,3,5,8,6]
[7,8,4,2,1,3,5,6]=>[2,4,1,8,3,5,7,6]
[8,7,4,1,2,3,5,6]=>[4,1,2,7,3,5,8,6]
[7,8,4,1,2,3,5,6]=>[4,1,2,8,3,5,7,6]
[8,7,3,2,1,4,5,6]=>[2,3,7,1,4,5,8,6]
[7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,7,6]
[8,7,2,3,1,4,5,6]=>[3,7,2,1,4,5,8,6]
[7,8,2,3,1,4,5,6]=>[3,8,2,1,4,5,7,6]
[7,8,3,1,2,4,5,6]=>[3,1,8,2,4,5,7,6]
[8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,6]
[7,8,2,1,3,4,5,6]=>[2,8,1,3,4,5,7,6]
[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,6]
[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]
[8,5,6,4,3,2,1,7]=>[2,3,4,6,8,5,1,7]
[8,6,4,5,3,2,1,7]=>[2,3,5,6,4,8,1,7]
[8,5,4,6,3,2,1,7]=>[2,3,6,5,8,4,1,7]
[8,4,5,6,3,2,1,7]=>[2,3,6,8,4,5,1,7]
[8,6,5,3,4,2,1,7]=>[2,4,5,3,6,8,1,7]
[8,5,6,3,4,2,1,7]=>[2,4,6,3,8,5,1,7]
[8,6,4,3,5,2,1,7]=>[2,5,4,6,3,8,1,7]
[8,5,4,3,6,2,1,7]=>[2,6,4,5,8,3,1,7]
[8,4,5,3,6,2,1,7]=>[2,6,5,8,4,3,1,7]
[8,4,3,5,6,2,1,7]=>[2,6,4,8,3,5,1,7]
[8,3,4,5,6,2,1,7]=>[2,6,8,3,4,5,1,7]
[8,6,5,4,2,3,1,7]=>[3,4,2,5,6,8,1,7]
[8,5,6,4,2,3,1,7]=>[3,4,2,6,8,5,1,7]
[8,6,4,5,2,3,1,7]=>[3,5,2,6,4,8,1,7]
[8,4,5,6,2,3,1,7]=>[3,6,2,8,4,5,1,7]
[8,6,5,3,2,4,1,7]=>[4,3,5,2,6,8,1,7]
[8,6,5,2,3,4,1,7]=>[4,5,2,3,6,8,1,7]
[8,5,6,2,3,4,1,7]=>[4,6,2,3,8,5,1,7]
[8,6,4,3,2,5,1,7]=>[5,3,4,6,2,8,1,7]
[8,6,3,4,2,5,1,7]=>[5,4,6,3,2,8,1,7]
[8,6,4,2,3,5,1,7]=>[5,4,2,6,3,8,1,7]
[8,6,3,2,4,5,1,7]=>[5,3,6,2,4,8,1,7]
[8,5,4,3,2,6,1,7]=>[6,3,4,5,8,2,1,7]
[8,4,5,3,2,6,1,7]=>[6,3,5,8,4,2,1,7]
[8,5,3,4,2,6,1,7]=>[6,4,5,3,8,2,1,7]
[8,4,3,5,2,6,1,7]=>[6,5,4,8,3,2,1,7]
[8,3,4,5,2,6,1,7]=>[6,5,8,3,4,2,1,7]
[8,5,4,2,3,6,1,7]=>[6,4,2,5,8,3,1,7]
[8,4,5,2,3,6,1,7]=>[6,5,2,8,4,3,1,7]
[8,5,3,2,4,6,1,7]=>[6,3,5,2,8,4,1,7]
[8,5,2,3,4,6,1,7]=>[6,5,2,3,8,4,1,7]
[8,4,3,2,5,6,1,7]=>[6,3,4,8,2,5,1,7]
[8,3,4,2,5,6,1,7]=>[6,4,8,3,2,5,1,7]
[8,4,2,3,5,6,1,7]=>[6,4,2,8,3,5,1,7]
[8,3,2,4,5,6,1,7]=>[6,3,8,2,4,5,1,7]
[8,2,3,4,5,6,1,7]=>[6,8,2,3,4,5,1,7]
[8,6,5,4,3,1,2,7]=>[3,1,4,5,6,8,2,7]
[8,6,4,5,3,1,2,7]=>[3,1,5,6,4,8,2,7]
[8,5,4,6,3,1,2,7]=>[3,1,6,5,8,4,2,7]
[8,6,5,3,4,1,2,7]=>[4,1,5,3,6,8,2,7]
[8,5,6,3,4,1,2,7]=>[4,1,6,3,8,5,2,7]
[8,6,4,3,5,1,2,7]=>[5,1,4,6,3,8,2,7]
[8,6,3,4,5,1,2,7]=>[5,1,6,3,4,8,2,7]
[8,5,4,3,6,1,2,7]=>[6,1,4,5,8,3,2,7]
[8,4,5,3,6,1,2,7]=>[6,1,5,8,4,3,2,7]
[8,5,3,4,6,1,2,7]=>[6,1,5,3,8,4,2,7]
[8,4,3,5,6,1,2,7]=>[6,1,4,8,3,5,2,7]
[8,3,4,5,6,1,2,7]=>[6,1,8,3,4,5,2,7]
[8,6,5,4,2,1,3,7]=>[2,4,1,5,6,8,3,7]
[8,5,6,4,2,1,3,7]=>[2,4,1,6,8,5,3,7]
[8,6,4,5,2,1,3,7]=>[2,5,1,6,4,8,3,7]
[8,5,4,6,2,1,3,7]=>[2,6,1,5,8,4,3,7]
[8,4,5,6,2,1,3,7]=>[2,6,1,8,4,5,3,7]
[8,6,5,4,1,2,3,7]=>[4,1,2,5,6,8,3,7]
[8,5,6,4,1,2,3,7]=>[4,1,2,6,8,5,3,7]
[8,6,4,5,1,2,3,7]=>[5,1,2,6,4,8,3,7]
[8,5,4,6,1,2,3,7]=>[6,1,2,5,8,4,3,7]
[8,4,5,6,1,2,3,7]=>[6,1,2,8,4,5,3,7]
[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]
[8,5,6,3,2,1,4,7]=>[2,3,6,1,8,5,4,7]
[8,6,5,2,3,1,4,7]=>[3,5,2,1,6,8,4,7]
[8,5,6,2,3,1,4,7]=>[3,6,2,1,8,5,4,7]
[8,6,5,3,1,2,4,7]=>[3,1,5,2,6,8,4,7]
[8,5,6,3,1,2,4,7]=>[3,1,6,2,8,5,4,7]
[8,6,5,2,1,3,4,7]=>[2,5,1,3,6,8,4,7]
[8,5,6,2,1,3,4,7]=>[2,6,1,3,8,5,4,7]
[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]
[8,5,6,1,2,3,4,7]=>[6,1,2,3,8,5,4,7]
[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]
[8,6,3,4,2,1,5,7]=>[2,4,6,3,1,8,5,7]
[8,6,4,2,3,1,5,7]=>[3,4,2,6,1,8,5,7]
[8,6,3,2,4,1,5,7]=>[4,3,6,2,1,8,5,7]
[8,6,2,3,4,1,5,7]=>[4,6,2,3,1,8,5,7]
[8,6,4,3,1,2,5,7]=>[3,1,4,6,2,8,5,7]
[8,6,3,4,1,2,5,7]=>[4,1,6,3,2,8,5,7]
[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]
[8,6,4,1,2,3,5,7]=>[4,1,2,6,3,8,5,7]
[8,6,3,2,1,4,5,7]=>[2,3,6,1,4,8,5,7]
[8,6,2,3,1,4,5,7]=>[3,6,2,1,4,8,5,7]
[8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,7]
[8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,7]
[8,4,5,3,2,1,6,7]=>[2,3,5,8,4,1,6,7]
[8,4,3,5,2,1,6,7]=>[2,5,4,8,3,1,6,7]
[8,3,4,5,2,1,6,7]=>[2,5,8,3,4,1,6,7]
[8,5,4,2,3,1,6,7]=>[3,4,2,5,8,1,6,7]
[8,4,5,2,3,1,6,7]=>[3,5,2,8,4,1,6,7]
[8,5,3,2,4,1,6,7]=>[4,3,5,2,8,1,6,7]
[8,5,2,3,4,1,6,7]=>[4,5,2,3,8,1,6,7]
[8,4,2,3,5,1,6,7]=>[5,4,2,8,3,1,6,7]
[8,3,2,4,5,1,6,7]=>[5,3,8,2,4,1,6,7]
[8,2,3,4,5,1,6,7]=>[5,8,2,3,4,1,6,7]
[8,5,4,3,1,2,6,7]=>[3,1,4,5,8,2,6,7]
[8,5,3,4,1,2,6,7]=>[4,1,5,3,8,2,6,7]
[8,4,3,5,1,2,6,7]=>[5,1,4,8,3,2,6,7]
[8,3,4,5,1,2,6,7]=>[5,1,8,3,4,2,6,7]
[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]
[8,4,5,2,1,3,6,7]=>[2,5,1,8,4,3,6,7]
[8,5,4,1,2,3,6,7]=>[4,1,2,5,8,3,6,7]
[8,4,5,1,2,3,6,7]=>[5,1,2,8,4,3,6,7]
[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]
[8,5,2,3,1,4,6,7]=>[3,5,2,1,8,4,6,7]
[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]
[8,5,2,1,3,4,6,7]=>[2,5,1,3,8,4,6,7]
[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]
[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]
[8,3,4,2,1,5,6,7]=>[2,4,8,3,1,5,6,7]
[8,4,2,3,1,5,6,7]=>[3,4,2,8,1,5,6,7]
[8,3,2,4,1,5,6,7]=>[4,3,8,2,1,5,6,7]
[8,2,3,4,1,5,6,7]=>[4,8,2,3,1,5,6,7]
[8,4,3,1,2,5,6,7]=>[3,1,4,8,2,5,6,7]
[8,3,4,1,2,5,6,7]=>[4,1,8,3,2,5,6,7]
[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]
[8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]
[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]
[8,2,3,1,4,5,6,7]=>[3,8,2,1,4,5,6,7]
[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]
[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]
[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]
[7,5,6,4,3,2,1,8]=>[2,3,4,6,7,5,1,8]
[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]
[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]
[7,6,4,5,3,2,1,8]=>[2,3,5,6,4,7,1,8]
[6,7,4,5,3,2,1,8]=>[2,3,5,7,4,6,1,8]
[7,5,4,6,3,2,1,8]=>[2,3,6,5,7,4,1,8]
[7,4,5,6,3,2,1,8]=>[2,3,6,7,4,5,1,8]
[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8]
[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]
[6,4,5,7,3,2,1,8]=>[2,3,7,6,4,5,1,8]
[5,4,6,7,3,2,1,8]=>[2,3,7,5,4,6,1,8]
[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]
[7,6,5,3,4,2,1,8]=>[2,4,5,3,6,7,1,8]
[6,7,5,3,4,2,1,8]=>[2,4,5,3,7,6,1,8]
[7,5,6,3,4,2,1,8]=>[2,4,6,3,7,5,1,8]
[6,5,7,3,4,2,1,8]=>[2,4,7,3,6,5,1,8]
[5,6,7,3,4,2,1,8]=>[2,4,7,3,5,6,1,8]
[7,6,4,3,5,2,1,8]=>[2,5,4,6,3,7,1,8]
[6,7,4,3,5,2,1,8]=>[2,5,4,7,3,6,1,8]
[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[7,5,4,3,6,2,1,8]=>[2,6,4,5,7,3,1,8]
[7,4,5,3,6,2,1,8]=>[2,6,5,7,4,3,1,8]
[7,4,3,5,6,2,1,8]=>[2,6,4,7,3,5,1,8]
[7,3,4,5,6,2,1,8]=>[2,6,7,3,4,5,1,8]
[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]
[5,6,4,3,7,2,1,8]=>[2,7,4,6,5,3,1,8]
[6,4,5,3,7,2,1,8]=>[2,7,5,6,4,3,1,8]
[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8]
[4,5,6,3,7,2,1,8]=>[2,7,6,4,5,3,1,8]
[6,5,3,4,7,2,1,8]=>[2,7,5,3,6,4,1,8]
[5,6,3,4,7,2,1,8]=>[2,7,6,3,5,4,1,8]
[6,4,3,5,7,2,1,8]=>[2,7,4,6,3,5,1,8]
[6,3,4,5,7,2,1,8]=>[2,7,6,3,4,5,1,8]
[5,4,3,6,7,2,1,8]=>[2,7,4,5,3,6,1,8]
[4,5,3,6,7,2,1,8]=>[2,7,5,4,3,6,1,8]
[4,3,5,6,7,2,1,8]=>[2,7,4,3,5,6,1,8]
[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8]
[7,6,5,4,2,3,1,8]=>[3,4,2,5,6,7,1,8]
[6,7,5,4,2,3,1,8]=>[3,4,2,5,7,6,1,8]
[7,5,6,4,2,3,1,8]=>[3,4,2,6,7,5,1,8]
[5,6,7,4,2,3,1,8]=>[3,4,2,7,5,6,1,8]
[7,6,4,5,2,3,1,8]=>[3,5,2,6,4,7,1,8]
[6,7,4,5,2,3,1,8]=>[3,5,2,7,4,6,1,8]
[7,5,4,6,2,3,1,8]=>[3,6,2,5,7,4,1,8]
[7,4,5,6,2,3,1,8]=>[3,6,2,7,4,5,1,8]
[6,5,4,7,2,3,1,8]=>[3,7,2,5,6,4,1,8]
[5,6,4,7,2,3,1,8]=>[3,7,2,6,5,4,1,8]
[6,4,5,7,2,3,1,8]=>[3,7,2,6,4,5,1,8]
[5,4,6,7,2,3,1,8]=>[3,7,2,5,4,6,1,8]
[4,5,6,7,2,3,1,8]=>[3,7,2,4,5,6,1,8]
[7,6,5,3,2,4,1,8]=>[4,3,5,2,6,7,1,8]
[7,5,6,3,2,4,1,8]=>[4,3,6,2,7,5,1,8]
[6,5,7,3,2,4,1,8]=>[4,3,7,2,6,5,1,8]
[5,6,7,3,2,4,1,8]=>[4,3,7,2,5,6,1,8]
[7,6,5,2,3,4,1,8]=>[4,5,2,3,6,7,1,8]
[6,7,5,2,3,4,1,8]=>[4,5,2,3,7,6,1,8]
[7,5,6,2,3,4,1,8]=>[4,6,2,3,7,5,1,8]
[6,5,7,2,3,4,1,8]=>[4,7,2,3,6,5,1,8]
[5,6,7,2,3,4,1,8]=>[4,7,2,3,5,6,1,8]
[7,6,4,3,2,5,1,8]=>[5,3,4,6,2,7,1,8]
[6,7,4,3,2,5,1,8]=>[5,3,4,7,2,6,1,8]
[6,7,3,4,2,5,1,8]=>[5,4,7,3,2,6,1,8]
[7,6,4,2,3,5,1,8]=>[5,4,2,6,3,7,1,8]
[6,7,4,2,3,5,1,8]=>[5,4,2,7,3,6,1,8]
[7,6,3,2,4,5,1,8]=>[5,3,6,2,4,7,1,8]
[6,7,3,2,4,5,1,8]=>[5,3,7,2,4,6,1,8]
[7,6,2,3,4,5,1,8]=>[5,6,2,3,4,7,1,8]
[6,7,2,3,4,5,1,8]=>[5,7,2,3,4,6,1,8]
[7,5,4,3,2,6,1,8]=>[6,3,4,5,7,2,1,8]
[7,4,5,3,2,6,1,8]=>[6,3,5,7,4,2,1,8]
[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[7,4,3,5,2,6,1,8]=>[6,5,4,7,3,2,1,8]
[7,3,4,5,2,6,1,8]=>[6,5,7,3,4,2,1,8]
[7,5,4,2,3,6,1,8]=>[6,4,2,5,7,3,1,8]
[7,4,5,2,3,6,1,8]=>[6,5,2,7,4,3,1,8]
[7,5,3,2,4,6,1,8]=>[6,3,5,2,7,4,1,8]
[7,5,2,3,4,6,1,8]=>[6,5,2,3,7,4,1,8]
[7,4,3,2,5,6,1,8]=>[6,3,4,7,2,5,1,8]
[7,4,2,3,5,6,1,8]=>[6,4,2,7,3,5,1,8]
[7,3,2,4,5,6,1,8]=>[6,3,7,2,4,5,1,8]
[7,2,3,4,5,6,1,8]=>[6,7,2,3,4,5,1,8]
[6,5,4,3,2,7,1,8]=>[7,3,4,5,6,2,1,8]
[5,6,4,3,2,7,1,8]=>[7,3,4,6,5,2,1,8]
[5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]
[5,6,3,4,2,7,1,8]=>[7,4,6,3,5,2,1,8]
[6,4,3,5,2,7,1,8]=>[7,5,4,6,3,2,1,8]
[6,3,4,5,2,7,1,8]=>[7,5,6,3,4,2,1,8]
[5,4,3,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]
[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]
[5,3,4,6,2,7,1,8]=>[7,6,5,3,4,2,1,8]
[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]
[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]
[6,5,4,2,3,7,1,8]=>[7,4,2,5,6,3,1,8]
[6,4,5,2,3,7,1,8]=>[7,5,2,6,4,3,1,8]
[5,4,6,2,3,7,1,8]=>[7,6,2,5,4,3,1,8]
[4,5,6,2,3,7,1,8]=>[7,6,2,4,5,3,1,8]
[6,5,3,2,4,7,1,8]=>[7,3,5,2,6,4,1,8]
[5,6,3,2,4,7,1,8]=>[7,3,6,2,5,4,1,8]
[6,5,2,3,4,7,1,8]=>[7,5,2,3,6,4,1,8]
[5,6,2,3,4,7,1,8]=>[7,6,2,3,5,4,1,8]
[6,4,3,2,5,7,1,8]=>[7,3,4,6,2,5,1,8]
[6,3,4,2,5,7,1,8]=>[7,4,6,3,2,5,1,8]
[6,4,2,3,5,7,1,8]=>[7,4,2,6,3,5,1,8]
[6,3,2,4,5,7,1,8]=>[7,3,6,2,4,5,1,8]
[6,2,3,4,5,7,1,8]=>[7,6,2,3,4,5,1,8]
[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8]
[4,5,3,2,6,7,1,8]=>[7,3,5,4,2,6,1,8]
[5,3,4,2,6,7,1,8]=>[7,4,5,3,2,6,1,8]
[4,3,5,2,6,7,1,8]=>[7,5,4,3,2,6,1,8]
[3,4,5,2,6,7,1,8]=>[7,5,3,4,2,6,1,8]
[5,4,2,3,6,7,1,8]=>[7,4,2,5,3,6,1,8]
[4,5,2,3,6,7,1,8]=>[7,5,2,4,3,6,1,8]
[5,3,2,4,6,7,1,8]=>[7,3,5,2,4,6,1,8]
[5,2,3,4,6,7,1,8]=>[7,5,2,3,4,6,1,8]
[4,3,2,5,6,7,1,8]=>[7,3,4,2,5,6,1,8]
[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8]
[4,2,3,5,6,7,1,8]=>[7,4,2,3,5,6,1,8]
[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]
[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]
[7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,2,8]
[6,7,5,4,3,1,2,8]=>[3,1,4,5,7,6,2,8]
[7,5,6,4,3,1,2,8]=>[3,1,4,6,7,5,2,8]
[6,5,7,4,3,1,2,8]=>[3,1,4,7,6,5,2,8]
[5,6,7,4,3,1,2,8]=>[3,1,4,7,5,6,2,8]
[7,6,4,5,3,1,2,8]=>[3,1,5,6,4,7,2,8]
[7,5,4,6,3,1,2,8]=>[3,1,6,5,7,4,2,8]
[7,4,5,6,3,1,2,8]=>[3,1,6,7,4,5,2,8]
[5,4,6,7,3,1,2,8]=>[3,1,7,5,4,6,2,8]
[4,5,6,7,3,1,2,8]=>[3,1,7,4,5,6,2,8]
[7,6,5,3,4,1,2,8]=>[4,1,5,3,6,7,2,8]
[6,7,5,3,4,1,2,8]=>[4,1,5,3,7,6,2,8]
[7,5,6,3,4,1,2,8]=>[4,1,6,3,7,5,2,8]
[6,5,7,3,4,1,2,8]=>[4,1,7,3,6,5,2,8]
[5,6,7,3,4,1,2,8]=>[4,1,7,3,5,6,2,8]
[7,6,4,3,5,1,2,8]=>[5,1,4,6,3,7,2,8]
[6,7,4,3,5,1,2,8]=>[5,1,4,7,3,6,2,8]
[6,7,3,4,5,1,2,8]=>[5,1,7,3,4,6,2,8]
[7,5,4,3,6,1,2,8]=>[6,1,4,5,7,3,2,8]
[7,4,5,3,6,1,2,8]=>[6,1,5,7,4,3,2,8]
[7,5,3,4,6,1,2,8]=>[6,1,5,3,7,4,2,8]
[7,4,3,5,6,1,2,8]=>[6,1,4,7,3,5,2,8]
[7,3,4,5,6,1,2,8]=>[6,1,7,3,4,5,2,8]
[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8]
[5,6,4,3,7,1,2,8]=>[7,1,4,6,5,3,2,8]
[6,4,5,3,7,1,2,8]=>[7,1,5,6,4,3,2,8]
[5,4,6,3,7,1,2,8]=>[7,1,6,5,4,3,2,8]
[6,5,3,4,7,1,2,8]=>[7,1,5,3,6,4,2,8]
[5,6,3,4,7,1,2,8]=>[7,1,6,3,5,4,2,8]
[6,4,3,5,7,1,2,8]=>[7,1,4,6,3,5,2,8]
[6,3,4,5,7,1,2,8]=>[7,1,6,3,4,5,2,8]
[4,5,3,6,7,1,2,8]=>[7,1,5,4,3,6,2,8]
[5,3,4,6,7,1,2,8]=>[7,1,5,3,4,6,2,8]
[4,3,5,6,7,1,2,8]=>[7,1,4,3,5,6,2,8]
[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8]
[7,6,5,4,2,1,3,8]=>[2,4,1,5,6,7,3,8]
[6,7,5,4,2,1,3,8]=>[2,4,1,5,7,6,3,8]
[6,5,7,4,2,1,3,8]=>[2,4,1,7,6,5,3,8]
[5,6,7,4,2,1,3,8]=>[2,4,1,7,5,6,3,8]
[7,6,4,5,2,1,3,8]=>[2,5,1,6,4,7,3,8]
[6,7,4,5,2,1,3,8]=>[2,5,1,7,4,6,3,8]
[7,5,4,6,2,1,3,8]=>[2,6,1,5,7,4,3,8]
[7,4,5,6,2,1,3,8]=>[2,6,1,7,4,5,3,8]
[6,5,4,7,2,1,3,8]=>[2,7,1,5,6,4,3,8]
[5,6,4,7,2,1,3,8]=>[2,7,1,6,5,4,3,8]
[5,4,6,7,2,1,3,8]=>[2,7,1,5,4,6,3,8]
[4,5,6,7,2,1,3,8]=>[2,7,1,4,5,6,3,8]
[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]
[6,7,5,4,1,2,3,8]=>[4,1,2,5,7,6,3,8]
[7,5,6,4,1,2,3,8]=>[4,1,2,6,7,5,3,8]
[6,5,7,4,1,2,3,8]=>[4,1,2,7,6,5,3,8]
[5,6,7,4,1,2,3,8]=>[4,1,2,7,5,6,3,8]
[7,6,4,5,1,2,3,8]=>[5,1,2,6,4,7,3,8]
[6,7,4,5,1,2,3,8]=>[5,1,2,7,4,6,3,8]
[7,5,4,6,1,2,3,8]=>[6,1,2,5,7,4,3,8]
[7,4,5,6,1,2,3,8]=>[6,1,2,7,4,5,3,8]
[6,5,4,7,1,2,3,8]=>[7,1,2,5,6,4,3,8]
[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8]
[6,4,5,7,1,2,3,8]=>[7,1,2,6,4,5,3,8]
[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8]
[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]
[7,6,5,3,2,1,4,8]=>[2,3,5,1,6,7,4,8]
[6,7,5,3,2,1,4,8]=>[2,3,5,1,7,6,4,8]
[7,5,6,3,2,1,4,8]=>[2,3,6,1,7,5,4,8]
[5,6,7,3,2,1,4,8]=>[2,3,7,1,5,6,4,8]
[7,6,5,2,3,1,4,8]=>[3,5,2,1,6,7,4,8]
[6,7,5,2,3,1,4,8]=>[3,5,2,1,7,6,4,8]
[7,5,6,2,3,1,4,8]=>[3,6,2,1,7,5,4,8]
[6,5,7,2,3,1,4,8]=>[3,7,2,1,6,5,4,8]
[5,6,7,2,3,1,4,8]=>[3,7,2,1,5,6,4,8]
[7,6,5,3,1,2,4,8]=>[3,1,5,2,6,7,4,8]
[6,7,5,3,1,2,4,8]=>[3,1,5,2,7,6,4,8]
[7,5,6,3,1,2,4,8]=>[3,1,6,2,7,5,4,8]
[5,6,7,3,1,2,4,8]=>[3,1,7,2,5,6,4,8]
[7,6,5,2,1,3,4,8]=>[2,5,1,3,6,7,4,8]
[6,7,5,2,1,3,4,8]=>[2,5,1,3,7,6,4,8]
[7,5,6,2,1,3,4,8]=>[2,6,1,3,7,5,4,8]
[5,6,7,2,1,3,4,8]=>[2,7,1,3,5,6,4,8]
[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]
[6,7,5,1,2,3,4,8]=>[5,1,2,3,7,6,4,8]
[7,5,6,1,2,3,4,8]=>[6,1,2,3,7,5,4,8]
[6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]
[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]
[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]
[6,7,4,3,2,1,5,8]=>[2,3,4,7,1,6,5,8]
[7,6,3,4,2,1,5,8]=>[2,4,6,3,1,7,5,8]
[6,7,3,4,2,1,5,8]=>[2,4,7,3,1,6,5,8]
[7,6,4,2,3,1,5,8]=>[3,4,2,6,1,7,5,8]
[6,7,4,2,3,1,5,8]=>[3,4,2,7,1,6,5,8]
[7,6,3,2,4,1,5,8]=>[4,3,6,2,1,7,5,8]
[6,7,3,2,4,1,5,8]=>[4,3,7,2,1,6,5,8]
[7,6,2,3,4,1,5,8]=>[4,6,2,3,1,7,5,8]
[6,7,2,3,4,1,5,8]=>[4,7,2,3,1,6,5,8]
[7,6,4,3,1,2,5,8]=>[3,1,4,6,2,7,5,8]
[6,7,4,3,1,2,5,8]=>[3,1,4,7,2,6,5,8]
[7,6,3,4,1,2,5,8]=>[4,1,6,3,2,7,5,8]
[6,7,3,4,1,2,5,8]=>[4,1,7,3,2,6,5,8]
[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]
[7,6,4,1,2,3,5,8]=>[4,1,2,6,3,7,5,8]
[7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]
[6,7,3,2,1,4,5,8]=>[2,3,7,1,4,6,5,8]
[7,6,2,3,1,4,5,8]=>[3,6,2,1,4,7,5,8]
[6,7,2,3,1,4,5,8]=>[3,7,2,1,4,6,5,8]
[7,6,3,1,2,4,5,8]=>[3,1,6,2,4,7,5,8]
[6,7,3,1,2,4,5,8]=>[3,1,7,2,4,6,5,8]
[6,7,2,1,3,4,5,8]=>[2,7,1,3,4,6,5,8]
[7,6,1,2,3,4,5,8]=>[6,1,2,3,4,7,5,8]
[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]
[7,5,4,3,2,1,6,8]=>[2,3,4,5,7,1,6,8]
[7,4,5,3,2,1,6,8]=>[2,3,5,7,4,1,6,8]
[7,5,3,4,2,1,6,8]=>[2,4,5,3,7,1,6,8]
[7,4,3,5,2,1,6,8]=>[2,5,4,7,3,1,6,8]
[7,3,4,5,2,1,6,8]=>[2,5,7,3,4,1,6,8]
[7,5,4,2,3,1,6,8]=>[3,4,2,5,7,1,6,8]
[7,4,5,2,3,1,6,8]=>[3,5,2,7,4,1,6,8]
[7,5,3,2,4,1,6,8]=>[4,3,5,2,7,1,6,8]
[7,5,2,3,4,1,6,8]=>[4,5,2,3,7,1,6,8]
[7,4,3,2,5,1,6,8]=>[5,3,4,7,2,1,6,8]
[7,4,2,3,5,1,6,8]=>[5,4,2,7,3,1,6,8]
[7,3,2,4,5,1,6,8]=>[5,3,7,2,4,1,6,8]
[7,2,3,4,5,1,6,8]=>[5,7,2,3,4,1,6,8]
[7,5,4,3,1,2,6,8]=>[3,1,4,5,7,2,6,8]
[7,4,5,3,1,2,6,8]=>[3,1,5,7,4,2,6,8]
[7,5,3,4,1,2,6,8]=>[4,1,5,3,7,2,6,8]
[7,4,3,5,1,2,6,8]=>[5,1,4,7,3,2,6,8]
[7,3,4,5,1,2,6,8]=>[5,1,7,3,4,2,6,8]
[7,4,5,2,1,3,6,8]=>[2,5,1,7,4,3,6,8]
[7,5,4,1,2,3,6,8]=>[4,1,2,5,7,3,6,8]
[7,4,5,1,2,3,6,8]=>[5,1,2,7,4,3,6,8]
[7,5,3,2,1,4,6,8]=>[2,3,5,1,7,4,6,8]
[7,5,2,3,1,4,6,8]=>[3,5,2,1,7,4,6,8]
[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]
[7,5,2,1,3,4,6,8]=>[2,5,1,3,7,4,6,8]
[7,5,1,2,3,4,6,8]=>[5,1,2,3,7,4,6,8]
[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]
[7,3,4,2,1,5,6,8]=>[2,4,7,3,1,5,6,8]
[7,4,2,3,1,5,6,8]=>[3,4,2,7,1,5,6,8]
[7,3,2,4,1,5,6,8]=>[4,3,7,2,1,5,6,8]
[7,2,3,4,1,5,6,8]=>[4,7,2,3,1,5,6,8]
[7,4,3,1,2,5,6,8]=>[3,1,4,7,2,5,6,8]
[7,3,4,1,2,5,6,8]=>[4,1,7,3,2,5,6,8]
[7,4,2,1,3,5,6,8]=>[2,4,1,7,3,5,6,8]
[7,4,1,2,3,5,6,8]=>[4,1,2,7,3,5,6,8]
[7,3,2,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]
[7,2,3,1,4,5,6,8]=>[3,7,2,1,4,5,6,8]
[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]
[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]
[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]
[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]
[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8]
[6,4,5,3,2,1,7,8]=>[2,3,5,6,4,1,7,8]
[5,4,6,3,2,1,7,8]=>[2,3,6,5,4,1,7,8]
[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]
[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[5,6,3,4,2,1,7,8]=>[2,4,6,3,5,1,7,8]
[6,4,3,5,2,1,7,8]=>[2,5,4,6,3,1,7,8]
[6,3,4,5,2,1,7,8]=>[2,5,6,3,4,1,7,8]
[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8]
[4,5,3,6,2,1,7,8]=>[2,6,5,4,3,1,7,8]
[5,3,4,6,2,1,7,8]=>[2,6,5,3,4,1,7,8]
[4,3,5,6,2,1,7,8]=>[2,6,4,3,5,1,7,8]
[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]
[6,5,4,2,3,1,7,8]=>[3,4,2,5,6,1,7,8]
[5,6,4,2,3,1,7,8]=>[3,4,2,6,5,1,7,8]
[6,4,5,2,3,1,7,8]=>[3,5,2,6,4,1,7,8]
[5,4,6,2,3,1,7,8]=>[3,6,2,5,4,1,7,8]
[4,5,6,2,3,1,7,8]=>[3,6,2,4,5,1,7,8]
[6,5,3,2,4,1,7,8]=>[4,3,5,2,6,1,7,8]
[5,6,3,2,4,1,7,8]=>[4,3,6,2,5,1,7,8]
[6,5,2,3,4,1,7,8]=>[4,5,2,3,6,1,7,8]
[5,6,2,3,4,1,7,8]=>[4,6,2,3,5,1,7,8]
[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]
[6,3,4,2,5,1,7,8]=>[5,4,6,3,2,1,7,8]
[6,4,2,3,5,1,7,8]=>[5,4,2,6,3,1,7,8]
[6,3,2,4,5,1,7,8]=>[5,3,6,2,4,1,7,8]
[6,2,3,4,5,1,7,8]=>[5,6,2,3,4,1,7,8]
[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]
[4,5,3,2,6,1,7,8]=>[6,3,5,4,2,1,7,8]
[5,3,4,2,6,1,7,8]=>[6,4,5,3,2,1,7,8]
[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]
[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]
[5,4,2,3,6,1,7,8]=>[6,4,2,5,3,1,7,8]
[4,5,2,3,6,1,7,8]=>[6,5,2,4,3,1,7,8]
[5,3,2,4,6,1,7,8]=>[6,3,5,2,4,1,7,8]
[5,2,3,4,6,1,7,8]=>[6,5,2,3,4,1,7,8]
[4,3,2,5,6,1,7,8]=>[6,3,4,2,5,1,7,8]
[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]
[4,2,3,5,6,1,7,8]=>[6,4,2,3,5,1,7,8]
[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]
[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]
[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8]
[5,6,4,3,1,2,7,8]=>[3,1,4,6,5,2,7,8]
[6,4,5,3,1,2,7,8]=>[3,1,5,6,4,2,7,8]
[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8]
[4,5,6,3,1,2,7,8]=>[3,1,6,4,5,2,7,8]
[6,5,3,4,1,2,7,8]=>[4,1,5,3,6,2,7,8]
[5,6,3,4,1,2,7,8]=>[4,1,6,3,5,2,7,8]
[6,4,3,5,1,2,7,8]=>[5,1,4,6,3,2,7,8]
[6,3,4,5,1,2,7,8]=>[5,1,6,3,4,2,7,8]
[5,4,3,6,1,2,7,8]=>[6,1,4,5,3,2,7,8]
[4,5,3,6,1,2,7,8]=>[6,1,5,4,3,2,7,8]
[5,3,4,6,1,2,7,8]=>[6,1,5,3,4,2,7,8]
[4,3,5,6,1,2,7,8]=>[6,1,4,3,5,2,7,8]
[3,4,5,6,1,2,7,8]=>[6,1,3,4,5,2,7,8]
[6,5,4,2,1,3,7,8]=>[2,4,1,5,6,3,7,8]
[5,6,4,2,1,3,7,8]=>[2,4,1,6,5,3,7,8]
[6,4,5,2,1,3,7,8]=>[2,5,1,6,4,3,7,8]
[5,4,6,2,1,3,7,8]=>[2,6,1,5,4,3,7,8]
[4,5,6,2,1,3,7,8]=>[2,6,1,4,5,3,7,8]
[6,5,4,1,2,3,7,8]=>[4,1,2,5,6,3,7,8]
[5,6,4,1,2,3,7,8]=>[4,1,2,6,5,3,7,8]
[6,4,5,1,2,3,7,8]=>[5,1,2,6,4,3,7,8]
[5,4,6,1,2,3,7,8]=>[6,1,2,5,4,3,7,8]
[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]
[6,5,3,2,1,4,7,8]=>[2,3,5,1,6,4,7,8]
[5,6,3,2,1,4,7,8]=>[2,3,6,1,5,4,7,8]
[6,5,2,3,1,4,7,8]=>[3,5,2,1,6,4,7,8]
[5,6,2,3,1,4,7,8]=>[3,6,2,1,5,4,7,8]
[6,5,3,1,2,4,7,8]=>[3,1,5,2,6,4,7,8]
[5,6,3,1,2,4,7,8]=>[3,1,6,2,5,4,7,8]
[6,5,2,1,3,4,7,8]=>[2,5,1,3,6,4,7,8]
[5,6,2,1,3,4,7,8]=>[2,6,1,3,5,4,7,8]
[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]
[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]
[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]
[6,3,4,2,1,5,7,8]=>[2,4,6,3,1,5,7,8]
[6,4,2,3,1,5,7,8]=>[3,4,2,6,1,5,7,8]
[6,3,2,4,1,5,7,8]=>[4,3,6,2,1,5,7,8]
[6,2,3,4,1,5,7,8]=>[4,6,2,3,1,5,7,8]
[6,4,3,1,2,5,7,8]=>[3,1,4,6,2,5,7,8]
[6,3,4,1,2,5,7,8]=>[4,1,6,3,2,5,7,8]
[6,4,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]
[6,4,1,2,3,5,7,8]=>[4,1,2,6,3,5,7,8]
[6,3,2,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]
[6,2,3,1,4,5,7,8]=>[3,6,2,1,4,5,7,8]
[6,3,1,2,4,5,7,8]=>[3,1,6,2,4,5,7,8]
[6,2,1,3,4,5,7,8]=>[2,6,1,3,4,5,7,8]
[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]
[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]
[5,3,4,2,1,6,7,8]=>[2,4,5,3,1,6,7,8]
[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]
[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]
[5,4,2,3,1,6,7,8]=>[3,4,2,5,1,6,7,8]
[4,5,2,3,1,6,7,8]=>[3,5,2,4,1,6,7,8]
[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]
[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]
[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]
[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[4,2,3,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]
[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]
[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8]
[4,5,3,1,2,6,7,8]=>[3,1,5,4,2,6,7,8]
[5,3,4,1,2,6,7,8]=>[4,1,5,3,2,6,7,8]
[4,3,5,1,2,6,7,8]=>[5,1,4,3,2,6,7,8]
[3,4,5,1,2,6,7,8]=>[5,1,3,4,2,6,7,8]
[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]
[4,5,2,1,3,6,7,8]=>[2,5,1,4,3,6,7,8]
[5,4,1,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]
[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]
[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]
[5,2,3,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]
[5,3,1,2,4,6,7,8]=>[3,1,5,2,4,6,7,8]
[5,2,1,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]
[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]
[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1]
[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1]
[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1]
[6,5,8,7,4,3,2,1]=>[2,3,4,7,6,5,8,1]
[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1]
[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1]
[4,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,1]
[4,7,8,6,5,3,2,1]=>[2,3,5,4,6,8,7,1]
[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1]
[4,7,6,8,5,3,2,1]=>[2,3,5,4,8,7,6,1]
[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1]
[5,4,8,7,6,3,2,1]=>[2,3,6,5,4,7,8,1]
[5,4,7,8,6,3,2,1]=>[2,3,6,5,4,8,7,1]
[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1]
[4,5,7,8,6,3,2,1]=>[2,3,6,4,5,8,7,1]
[6,5,4,8,7,3,2,1]=>[2,3,7,5,6,4,8,1]
[5,6,4,8,7,3,2,1]=>[2,3,7,6,5,4,8,1]
[4,6,5,8,7,3,2,1]=>[2,3,7,4,6,5,8,1]
[5,4,6,8,7,3,2,1]=>[2,3,7,5,4,6,8,1]
[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]
[5,7,6,4,8,3,2,1]=>[2,3,8,6,5,7,4,1]
[4,7,6,5,8,3,2,1]=>[2,3,8,4,6,7,5,1]
[4,6,7,5,8,3,2,1]=>[2,3,8,4,7,6,5,1]
[5,4,7,6,8,3,2,1]=>[2,3,8,5,4,7,6,1]
[4,5,7,6,8,3,2,1]=>[2,3,8,4,5,7,6,1]
[4,6,5,7,8,3,2,1]=>[2,3,8,4,6,5,7,1]
[3,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,1]
[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1]
[3,6,8,7,5,4,2,1]=>[2,4,3,5,7,6,8,1]
[3,7,6,8,5,4,2,1]=>[2,4,3,5,8,7,6,1]
[3,6,7,8,5,4,2,1]=>[2,4,3,5,8,6,7,1]
[3,5,8,7,6,4,2,1]=>[2,4,3,6,5,7,8,1]
[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1]
[3,6,5,8,7,4,2,1]=>[2,4,3,7,6,5,8,1]
[3,5,6,8,7,4,2,1]=>[2,4,3,7,5,6,8,1]
[3,7,6,5,8,4,2,1]=>[2,4,3,8,6,7,5,1]
[3,6,7,5,8,4,2,1]=>[2,4,3,8,7,6,5,1]
[3,5,7,6,8,4,2,1]=>[2,4,3,8,5,7,6,1]
[3,6,5,7,8,4,2,1]=>[2,4,3,8,6,5,7,1]
[3,5,6,7,8,4,2,1]=>[2,4,3,8,5,6,7,1]
[4,3,8,7,6,5,2,1]=>[2,5,4,3,6,7,8,1]
[4,3,7,8,6,5,2,1]=>[2,5,4,3,6,8,7,1]
[4,3,6,8,7,5,2,1]=>[2,5,4,3,7,6,8,1]
[4,3,7,6,8,5,2,1]=>[2,5,4,3,8,7,6,1]
[4,3,6,7,8,5,2,1]=>[2,5,4,3,8,6,7,1]
[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1]
[3,4,7,8,6,5,2,1]=>[2,5,3,4,6,8,7,1]
[3,4,6,8,7,5,2,1]=>[2,5,3,4,7,6,8,1]
[3,4,7,6,8,5,2,1]=>[2,5,3,4,8,7,6,1]
[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1]
[5,4,3,8,7,6,2,1]=>[2,6,4,5,3,7,8,1]
[5,4,3,7,8,6,2,1]=>[2,6,4,5,3,8,7,1]
[4,5,3,8,7,6,2,1]=>[2,6,5,4,3,7,8,1]
[4,5,3,7,8,6,2,1]=>[2,6,5,4,3,8,7,1]
[3,5,4,8,7,6,2,1]=>[2,6,3,5,4,7,8,1]
[3,5,4,7,8,6,2,1]=>[2,6,3,5,4,8,7,1]
[4,3,5,8,7,6,2,1]=>[2,6,4,3,5,7,8,1]
[4,3,5,7,8,6,2,1]=>[2,6,4,3,5,8,7,1]
[3,4,5,8,7,6,2,1]=>[2,6,3,4,5,7,8,1]
[3,4,5,7,8,6,2,1]=>[2,6,3,4,5,8,7,1]
[6,5,4,3,8,7,2,1]=>[2,7,4,5,6,3,8,1]
[5,6,4,3,8,7,2,1]=>[2,7,4,6,5,3,8,1]
[4,6,5,3,8,7,2,1]=>[2,7,5,4,6,3,8,1]
[5,4,6,3,8,7,2,1]=>[2,7,6,5,4,3,8,1]
[4,5,6,3,8,7,2,1]=>[2,7,6,4,5,3,8,1]
[3,6,5,4,8,7,2,1]=>[2,7,3,5,6,4,8,1]
[3,5,6,4,8,7,2,1]=>[2,7,3,6,5,4,8,1]
[4,3,6,5,8,7,2,1]=>[2,7,4,3,6,5,8,1]
[3,4,6,5,8,7,2,1]=>[2,7,3,4,6,5,8,1]
[5,4,3,6,8,7,2,1]=>[2,7,4,5,3,6,8,1]
[4,5,3,6,8,7,2,1]=>[2,7,5,4,3,6,8,1]
[3,5,4,6,8,7,2,1]=>[2,7,3,5,4,6,8,1]
[4,3,5,6,8,7,2,1]=>[2,7,4,3,5,6,8,1]
[3,4,5,6,8,7,2,1]=>[2,7,3,4,5,6,8,1]
[5,7,6,4,3,8,2,1]=>[2,8,4,6,5,7,3,1]
[4,7,6,5,3,8,2,1]=>[2,8,5,4,6,7,3,1]
[4,6,7,5,3,8,2,1]=>[2,8,5,4,7,6,3,1]
[5,4,7,6,3,8,2,1]=>[2,8,6,5,4,7,3,1]
[4,5,7,6,3,8,2,1]=>[2,8,6,4,5,7,3,1]
[4,6,5,7,3,8,2,1]=>[2,8,7,4,6,5,3,1]
[3,7,6,5,4,8,2,1]=>[2,8,3,5,6,7,4,1]
[3,6,7,5,4,8,2,1]=>[2,8,3,5,7,6,4,1]
[3,5,7,6,4,8,2,1]=>[2,8,3,6,5,7,4,1]
[3,6,5,7,4,8,2,1]=>[2,8,3,7,6,5,4,1]
[3,5,6,7,4,8,2,1]=>[2,8,3,7,5,6,4,1]
[4,3,7,6,5,8,2,1]=>[2,8,4,3,6,7,5,1]
[4,3,6,7,5,8,2,1]=>[2,8,4,3,7,6,5,1]
[3,4,7,6,5,8,2,1]=>[2,8,3,4,6,7,5,1]
[3,4,6,7,5,8,2,1]=>[2,8,3,4,7,6,5,1]
[5,4,3,7,6,8,2,1]=>[2,8,4,5,3,7,6,1]
[4,5,3,7,6,8,2,1]=>[2,8,5,4,3,7,6,1]
[3,5,4,7,6,8,2,1]=>[2,8,3,5,4,7,6,1]
[4,3,5,7,6,8,2,1]=>[2,8,4,3,5,7,6,1]
[3,4,5,7,6,8,2,1]=>[2,8,3,4,5,7,6,1]
[4,6,5,3,7,8,2,1]=>[2,8,5,4,6,3,7,1]
[3,6,5,4,7,8,2,1]=>[2,8,3,5,6,4,7,1]
[3,5,6,4,7,8,2,1]=>[2,8,3,6,5,4,7,1]
[4,3,6,5,7,8,2,1]=>[2,8,4,3,6,5,7,1]
[3,4,6,5,7,8,2,1]=>[2,8,3,4,6,5,7,1]
[3,5,4,6,7,8,2,1]=>[2,8,3,5,4,6,7,1]
[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1]
[2,7,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,1]
[2,6,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,1]
[2,7,6,8,5,4,3,1]=>[3,2,4,5,8,7,6,1]
[2,6,7,8,5,4,3,1]=>[3,2,4,5,8,6,7,1]
[2,5,8,7,6,4,3,1]=>[3,2,4,6,5,7,8,1]
[2,5,7,8,6,4,3,1]=>[3,2,4,6,5,8,7,1]
[2,6,5,8,7,4,3,1]=>[3,2,4,7,6,5,8,1]
[2,5,6,8,7,4,3,1]=>[3,2,4,7,5,6,8,1]
[2,7,6,5,8,4,3,1]=>[3,2,4,8,6,7,5,1]
[2,6,7,5,8,4,3,1]=>[3,2,4,8,7,6,5,1]
[2,5,7,6,8,4,3,1]=>[3,2,4,8,5,7,6,1]
[2,6,5,7,8,4,3,1]=>[3,2,4,8,6,5,7,1]
[2,5,6,7,8,4,3,1]=>[3,2,4,8,5,6,7,1]
[2,4,8,7,6,5,3,1]=>[3,2,5,4,6,7,8,1]
[2,4,7,8,6,5,3,1]=>[3,2,5,4,6,8,7,1]
[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1]
[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1]
[2,5,4,8,7,6,3,1]=>[3,2,6,5,4,7,8,1]
[2,5,4,7,8,6,3,1]=>[3,2,6,5,4,8,7,1]
[2,4,5,7,8,6,3,1]=>[3,2,6,4,5,8,7,1]
[2,6,5,4,8,7,3,1]=>[3,2,7,5,6,4,8,1]
[2,5,6,4,8,7,3,1]=>[3,2,7,6,5,4,8,1]
[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1]
[2,4,5,6,8,7,3,1]=>[3,2,7,4,5,6,8,1]
[2,7,6,5,4,8,3,1]=>[3,2,8,5,6,7,4,1]
[2,6,7,5,4,8,3,1]=>[3,2,8,5,7,6,4,1]
[2,5,7,6,4,8,3,1]=>[3,2,8,6,5,7,4,1]
[2,6,5,7,4,8,3,1]=>[3,2,8,7,6,5,4,1]
[2,5,6,7,4,8,3,1]=>[3,2,8,7,5,6,4,1]
[2,4,7,6,5,8,3,1]=>[3,2,8,4,6,7,5,1]
[2,4,6,7,5,8,3,1]=>[3,2,8,4,7,6,5,1]
[2,5,4,7,6,8,3,1]=>[3,2,8,5,4,7,6,1]
[2,6,5,4,7,8,3,1]=>[3,2,8,5,6,4,7,1]
[2,5,6,4,7,8,3,1]=>[3,2,8,6,5,4,7,1]
[2,4,6,5,7,8,3,1]=>[3,2,8,4,6,5,7,1]
[2,5,4,6,7,8,3,1]=>[3,2,8,5,4,6,7,1]
[2,4,5,6,7,8,3,1]=>[3,2,8,4,5,6,7,1]
[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]
[3,2,7,8,6,5,4,1]=>[4,3,2,5,6,8,7,1]
[3,2,6,8,7,5,4,1]=>[4,3,2,5,7,6,8,1]
[3,2,7,6,8,5,4,1]=>[4,3,2,5,8,7,6,1]
[3,2,5,8,7,6,4,1]=>[4,3,2,6,5,7,8,1]
[3,2,5,7,8,6,4,1]=>[4,3,2,6,5,8,7,1]
[3,2,6,5,8,7,4,1]=>[4,3,2,7,6,5,8,1]
[3,2,5,6,8,7,4,1]=>[4,3,2,7,5,6,8,1]
[3,2,7,6,5,8,4,1]=>[4,3,2,8,6,7,5,1]
[3,2,6,7,5,8,4,1]=>[4,3,2,8,7,6,5,1]
[3,2,5,7,6,8,4,1]=>[4,3,2,8,5,7,6,1]
[3,2,6,5,7,8,4,1]=>[4,3,2,8,6,5,7,1]
[3,2,5,6,7,8,4,1]=>[4,3,2,8,5,6,7,1]
[2,3,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,1]
[2,3,7,8,6,5,4,1]=>[4,2,3,5,6,8,7,1]
[2,3,6,8,7,5,4,1]=>[4,2,3,5,7,6,8,1]
[2,3,7,6,8,5,4,1]=>[4,2,3,5,8,7,6,1]
[2,3,6,7,8,5,4,1]=>[4,2,3,5,8,6,7,1]
[2,3,5,8,7,6,4,1]=>[4,2,3,6,5,7,8,1]
[2,3,5,7,8,6,4,1]=>[4,2,3,6,5,8,7,1]
[2,3,6,5,8,7,4,1]=>[4,2,3,7,6,5,8,1]
[2,3,5,6,8,7,4,1]=>[4,2,3,7,5,6,8,1]
[2,3,7,6,5,8,4,1]=>[4,2,3,8,6,7,5,1]
[2,3,6,7,5,8,4,1]=>[4,2,3,8,7,6,5,1]
[2,3,5,7,6,8,4,1]=>[4,2,3,8,5,7,6,1]
[2,3,6,5,7,8,4,1]=>[4,2,3,8,6,5,7,1]
[2,3,5,6,7,8,4,1]=>[4,2,3,8,5,6,7,1]
[4,3,2,8,7,6,5,1]=>[5,3,4,2,6,7,8,1]
[4,3,2,7,8,6,5,1]=>[5,3,4,2,6,8,7,1]
[4,3,2,6,8,7,5,1]=>[5,3,4,2,7,6,8,1]
[4,3,2,6,7,8,5,1]=>[5,3,4,2,8,6,7,1]
[3,4,2,8,7,6,5,1]=>[5,4,3,2,6,7,8,1]
[3,4,2,7,8,6,5,1]=>[5,4,3,2,6,8,7,1]
[3,4,2,6,8,7,5,1]=>[5,4,3,2,7,6,8,1]
[3,4,2,7,6,8,5,1]=>[5,4,3,2,8,7,6,1]
[3,4,2,6,7,8,5,1]=>[5,4,3,2,8,6,7,1]
[2,4,3,8,7,6,5,1]=>[5,2,4,3,6,7,8,1]
[2,4,3,7,8,6,5,1]=>[5,2,4,3,6,8,7,1]
[2,4,3,6,8,7,5,1]=>[5,2,4,3,7,6,8,1]
[2,4,3,7,6,8,5,1]=>[5,2,4,3,8,7,6,1]
[2,4,3,6,7,8,5,1]=>[5,2,4,3,8,6,7,1]
[3,2,4,8,7,6,5,1]=>[5,3,2,4,6,7,8,1]
[3,2,4,7,8,6,5,1]=>[5,3,2,4,6,8,7,1]
[3,2,4,7,6,8,5,1]=>[5,3,2,4,8,7,6,1]
[3,2,4,6,7,8,5,1]=>[5,3,2,4,8,6,7,1]
[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1]
[2,3,4,7,8,6,5,1]=>[5,2,3,4,6,8,7,1]
[2,3,4,6,8,7,5,1]=>[5,2,3,4,7,6,8,1]
[2,3,4,7,6,8,5,1]=>[5,2,3,4,8,7,6,1]
[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1]
[5,4,3,2,8,7,6,1]=>[6,3,4,5,2,7,8,1]
[5,4,3,2,7,8,6,1]=>[6,3,4,5,2,8,7,1]
[4,5,3,2,8,7,6,1]=>[6,3,5,4,2,7,8,1]
[4,5,3,2,7,8,6,1]=>[6,3,5,4,2,8,7,1]
[3,5,4,2,7,8,6,1]=>[6,4,3,5,2,8,7,1]
[4,3,5,2,8,7,6,1]=>[6,5,4,3,2,7,8,1]
[3,4,5,2,8,7,6,1]=>[6,5,3,4,2,7,8,1]
[3,4,5,2,7,8,6,1]=>[6,5,3,4,2,8,7,1]
[2,5,4,3,8,7,6,1]=>[6,2,4,5,3,7,8,1]
[2,5,4,3,7,8,6,1]=>[6,2,4,5,3,8,7,1]
[2,4,5,3,8,7,6,1]=>[6,2,5,4,3,7,8,1]
[2,4,5,3,7,8,6,1]=>[6,2,5,4,3,8,7,1]
[3,2,5,4,7,8,6,1]=>[6,3,2,5,4,8,7,1]
[2,3,5,4,8,7,6,1]=>[6,2,3,5,4,7,8,1]
[2,3,5,4,7,8,6,1]=>[6,2,3,5,4,8,7,1]
[4,3,2,5,8,7,6,1]=>[6,3,4,2,5,7,8,1]
[4,3,2,5,7,8,6,1]=>[6,3,4,2,5,8,7,1]
[3,4,2,5,8,7,6,1]=>[6,4,3,2,5,7,8,1]
[3,4,2,5,7,8,6,1]=>[6,4,3,2,5,8,7,1]
[2,4,3,5,8,7,6,1]=>[6,2,4,3,5,7,8,1]
[2,4,3,5,7,8,6,1]=>[6,2,4,3,5,8,7,1]
[3,2,4,5,7,8,6,1]=>[6,3,2,4,5,8,7,1]
[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1]
[2,3,4,5,7,8,6,1]=>[6,2,3,4,5,8,7,1]
[6,5,4,3,2,8,7,1]=>[7,3,4,5,6,2,8,1]
[5,6,4,3,2,8,7,1]=>[7,3,4,6,5,2,8,1]
[4,6,5,3,2,8,7,1]=>[7,3,5,4,6,2,8,1]
[5,4,6,3,2,8,7,1]=>[7,3,6,5,4,2,8,1]
[4,5,6,3,2,8,7,1]=>[7,3,6,4,5,2,8,1]
[3,6,5,4,2,8,7,1]=>[7,4,3,5,6,2,8,1]
[3,5,6,4,2,8,7,1]=>[7,4,3,6,5,2,8,1]
[4,3,6,5,2,8,7,1]=>[7,5,4,3,6,2,8,1]
[5,4,3,6,2,8,7,1]=>[7,6,4,5,3,2,8,1]
[4,5,3,6,2,8,7,1]=>[7,6,5,4,3,2,8,1]
[3,5,4,6,2,8,7,1]=>[7,6,3,5,4,2,8,1]
[3,4,5,6,2,8,7,1]=>[7,6,3,4,5,2,8,1]
[2,6,5,4,3,8,7,1]=>[7,2,4,5,6,3,8,1]
[2,4,6,5,3,8,7,1]=>[7,2,5,4,6,3,8,1]
[2,4,5,6,3,8,7,1]=>[7,2,6,4,5,3,8,1]
[3,2,6,5,4,8,7,1]=>[7,3,2,5,6,4,8,1]
[2,3,5,6,4,8,7,1]=>[7,2,3,6,5,4,8,1]
[4,3,2,6,5,8,7,1]=>[7,3,4,2,6,5,8,1]
[3,4,2,6,5,8,7,1]=>[7,4,3,2,6,5,8,1]
[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1]
[3,2,4,6,5,8,7,1]=>[7,3,2,4,6,5,8,1]
[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1]
[5,4,3,2,6,8,7,1]=>[7,3,4,5,2,6,8,1]
[4,5,3,2,6,8,7,1]=>[7,3,5,4,2,6,8,1]
[3,5,4,2,6,8,7,1]=>[7,4,3,5,2,6,8,1]
[4,3,5,2,6,8,7,1]=>[7,5,4,3,2,6,8,1]
[3,4,5,2,6,8,7,1]=>[7,5,3,4,2,6,8,1]
[2,5,4,3,6,8,7,1]=>[7,2,4,5,3,6,8,1]
[2,4,5,3,6,8,7,1]=>[7,2,5,4,3,6,8,1]
[3,2,5,4,6,8,7,1]=>[7,3,2,5,4,6,8,1]
[4,3,2,5,6,8,7,1]=>[7,3,4,2,5,6,8,1]
[3,4,2,5,6,8,7,1]=>[7,4,3,2,5,6,8,1]
[2,4,3,5,6,8,7,1]=>[7,2,4,3,5,6,8,1]
[3,2,4,5,6,8,7,1]=>[7,3,2,4,5,6,8,1]
[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1]
[5,7,6,4,3,2,8,1]=>[8,3,4,6,5,7,2,1]
[4,7,6,5,3,2,8,1]=>[8,3,5,4,6,7,2,1]
[4,6,7,5,3,2,8,1]=>[8,3,5,4,7,6,2,1]
[5,4,7,6,3,2,8,1]=>[8,3,6,5,4,7,2,1]
[4,5,7,6,3,2,8,1]=>[8,3,6,4,5,7,2,1]
[4,6,5,7,3,2,8,1]=>[8,3,7,4,6,5,2,1]
[3,7,6,5,4,2,8,1]=>[8,4,3,5,6,7,2,1]
[3,6,7,5,4,2,8,1]=>[8,4,3,5,7,6,2,1]
[3,5,7,6,4,2,8,1]=>[8,4,3,6,5,7,2,1]
[3,6,5,7,4,2,8,1]=>[8,4,3,7,6,5,2,1]
[3,5,6,7,4,2,8,1]=>[8,4,3,7,5,6,2,1]
[4,3,7,6,5,2,8,1]=>[8,5,4,3,6,7,2,1]
[4,3,6,7,5,2,8,1]=>[8,5,4,3,7,6,2,1]
[3,4,7,6,5,2,8,1]=>[8,5,3,4,6,7,2,1]
[3,4,6,7,5,2,8,1]=>[8,5,3,4,7,6,2,1]
[5,4,3,7,6,2,8,1]=>[8,6,4,5,3,7,2,1]
[4,5,3,7,6,2,8,1]=>[8,6,5,4,3,7,2,1]
[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,7,2,1]
[4,3,5,7,6,2,8,1]=>[8,6,4,3,5,7,2,1]
[3,4,5,7,6,2,8,1]=>[8,6,3,4,5,7,2,1]
[4,6,5,3,7,2,8,1]=>[8,7,5,4,6,3,2,1]
[3,6,5,4,7,2,8,1]=>[8,7,3,5,6,4,2,1]
[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1]
[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1]
[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1]
[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1]
[2,7,6,5,4,3,8,1]=>[8,2,4,5,6,7,3,1]
[2,5,7,6,4,3,8,1]=>[8,2,4,6,5,7,3,1]
[2,6,5,7,4,3,8,1]=>[8,2,4,7,6,5,3,1]
[2,5,6,7,4,3,8,1]=>[8,2,4,7,5,6,3,1]
[2,4,7,6,5,3,8,1]=>[8,2,5,4,6,7,3,1]
[2,4,6,7,5,3,8,1]=>[8,2,5,4,7,6,3,1]
[2,5,4,7,6,3,8,1]=>[8,2,6,5,4,7,3,1]
[2,4,5,7,6,3,8,1]=>[8,2,6,4,5,7,3,1]
[2,5,6,4,7,3,8,1]=>[8,2,7,6,5,4,3,1]
[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1]
[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1]
[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1]
[3,2,7,6,5,4,8,1]=>[8,3,2,5,6,7,4,1]
[3,2,6,7,5,4,8,1]=>[8,3,2,5,7,6,4,1]
[3,2,5,7,6,4,8,1]=>[8,3,2,6,5,7,4,1]
[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1]
[3,2,5,6,7,4,8,1]=>[8,3,2,7,5,6,4,1]
[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1]
[2,3,6,7,5,4,8,1]=>[8,2,3,5,7,6,4,1]
[2,3,5,7,6,4,8,1]=>[8,2,3,6,5,7,4,1]
[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1]
[4,3,2,7,6,5,8,1]=>[8,3,4,2,6,7,5,1]
[4,3,2,6,7,5,8,1]=>[8,3,4,2,7,6,5,1]
[3,4,2,7,6,5,8,1]=>[8,4,3,2,6,7,5,1]
[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1]
[2,4,3,7,6,5,8,1]=>[8,2,4,3,6,7,5,1]
[2,4,3,6,7,5,8,1]=>[8,2,4,3,7,6,5,1]
[3,2,4,7,6,5,8,1]=>[8,3,2,4,6,7,5,1]
[3,2,4,6,7,5,8,1]=>[8,3,2,4,7,6,5,1]
[2,3,4,7,6,5,8,1]=>[8,2,3,4,6,7,5,1]
[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1]
[5,4,3,2,7,6,8,1]=>[8,3,4,5,2,7,6,1]
[4,5,3,2,7,6,8,1]=>[8,3,5,4,2,7,6,1]
[3,5,4,2,7,6,8,1]=>[8,4,3,5,2,7,6,1]
[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1]
[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1]
[2,5,4,3,7,6,8,1]=>[8,2,4,5,3,7,6,1]
[2,4,5,3,7,6,8,1]=>[8,2,5,4,3,7,6,1]
[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1]
[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1]
[4,3,2,5,7,6,8,1]=>[8,3,4,2,5,7,6,1]
[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1]
[2,4,3,5,7,6,8,1]=>[8,2,4,3,5,7,6,1]
[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1]
[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1]
[4,6,5,3,2,7,8,1]=>[8,3,5,4,6,2,7,1]
[3,6,5,4,2,7,8,1]=>[8,4,3,5,6,2,7,1]
[3,5,6,4,2,7,8,1]=>[8,4,3,6,5,2,7,1]
[4,3,6,5,2,7,8,1]=>[8,5,4,3,6,2,7,1]
[3,4,6,5,2,7,8,1]=>[8,5,3,4,6,2,7,1]
[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1]
[2,6,5,4,3,7,8,1]=>[8,2,4,5,6,3,7,1]
[2,5,6,4,3,7,8,1]=>[8,2,4,6,5,3,7,1]
[2,4,6,5,3,7,8,1]=>[8,2,5,4,6,3,7,1]
[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1]
[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1]
[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1]
[2,3,6,5,4,7,8,1]=>[8,2,3,5,6,4,7,1]
[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1]
[4,3,2,6,5,7,8,1]=>[8,3,4,2,6,5,7,1]
[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1]
[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1]
[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1]
[3,5,4,2,6,7,8,1]=>[8,4,3,5,2,6,7,1]
[2,5,4,3,6,7,8,1]=>[8,2,4,5,3,6,7,1]
[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1]
[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1]
[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1]
[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1]
[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2]
[1,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,2]
[1,6,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,2]
[1,7,6,8,5,4,3,2]=>[1,3,4,5,8,7,6,2]
[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2]
[1,5,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,2]
[1,5,7,8,6,4,3,2]=>[1,3,4,6,5,8,7,2]
[1,6,5,8,7,4,3,2]=>[1,3,4,7,6,5,8,2]
[1,5,6,8,7,4,3,2]=>[1,3,4,7,5,6,8,2]
[1,7,6,5,8,4,3,2]=>[1,3,4,8,6,7,5,2]
[1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]
[1,5,7,6,8,4,3,2]=>[1,3,4,8,5,7,6,2]
[1,6,5,7,8,4,3,2]=>[1,3,4,8,6,5,7,2]
[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]
[1,4,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,2]
[1,4,7,8,6,5,3,2]=>[1,3,5,4,6,8,7,2]
[1,4,6,8,7,5,3,2]=>[1,3,5,4,7,6,8,2]
[1,4,7,6,8,5,3,2]=>[1,3,5,4,8,7,6,2]
[1,4,6,7,8,5,3,2]=>[1,3,5,4,8,6,7,2]
[1,5,4,8,7,6,3,2]=>[1,3,6,5,4,7,8,2]
[1,5,4,7,8,6,3,2]=>[1,3,6,5,4,8,7,2]
[1,4,5,8,7,6,3,2]=>[1,3,6,4,5,7,8,2]
[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2]
[1,6,5,4,8,7,3,2]=>[1,3,7,5,6,4,8,2]
[1,4,6,5,8,7,3,2]=>[1,3,7,4,6,5,8,2]
[1,5,4,6,8,7,3,2]=>[1,3,7,5,4,6,8,2]
[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]
[1,6,7,5,4,8,3,2]=>[1,3,8,5,7,6,4,2]
[1,6,5,7,4,8,3,2]=>[1,3,8,7,6,5,4,2]
[1,5,6,7,4,8,3,2]=>[1,3,8,7,5,6,4,2]
[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]
[1,4,6,7,5,8,3,2]=>[1,3,8,4,7,6,5,2]
[1,5,4,7,6,8,3,2]=>[1,3,8,5,4,7,6,2]
[1,4,5,7,6,8,3,2]=>[1,3,8,4,5,7,6,2]
[1,6,5,4,7,8,3,2]=>[1,3,8,5,6,4,7,2]
[1,5,6,4,7,8,3,2]=>[1,3,8,6,5,4,7,2]
[1,5,4,6,7,8,3,2]=>[1,3,8,5,4,6,7,2]
[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2]
[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]
[1,3,7,8,6,5,4,2]=>[1,4,3,5,6,8,7,2]
[1,3,6,8,7,5,4,2]=>[1,4,3,5,7,6,8,2]
[1,3,7,6,8,5,4,2]=>[1,4,3,5,8,7,6,2]
[1,3,6,7,8,5,4,2]=>[1,4,3,5,8,6,7,2]
[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2]
[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]
[1,3,6,5,8,7,4,2]=>[1,4,3,7,6,5,8,2]
[1,3,5,6,8,7,4,2]=>[1,4,3,7,5,6,8,2]
[1,3,7,6,5,8,4,2]=>[1,4,3,8,6,7,5,2]
[1,3,6,7,5,8,4,2]=>[1,4,3,8,7,6,5,2]
[1,3,5,7,6,8,4,2]=>[1,4,3,8,5,7,6,2]
[1,3,6,5,7,8,4,2]=>[1,4,3,8,6,5,7,2]
[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2]
[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]
[1,4,3,7,8,6,5,2]=>[1,5,4,3,6,8,7,2]
[1,4,3,6,8,7,5,2]=>[1,5,4,3,7,6,8,2]
[1,4,3,7,6,8,5,2]=>[1,5,4,3,8,7,6,2]
[1,4,3,6,7,8,5,2]=>[1,5,4,3,8,6,7,2]
[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2]
[1,3,4,7,8,6,5,2]=>[1,5,3,4,6,8,7,2]
[1,3,4,6,8,7,5,2]=>[1,5,3,4,7,6,8,2]
[1,3,4,7,6,8,5,2]=>[1,5,3,4,8,7,6,2]
[1,3,4,6,7,8,5,2]=>[1,5,3,4,8,6,7,2]
[1,5,4,3,8,7,6,2]=>[1,6,4,5,3,7,8,2]
[1,5,4,3,7,8,6,2]=>[1,6,4,5,3,8,7,2]
[1,4,5,3,8,7,6,2]=>[1,6,5,4,3,7,8,2]
[1,4,5,3,7,8,6,2]=>[1,6,5,4,3,8,7,2]
[1,3,5,4,8,7,6,2]=>[1,6,3,5,4,7,8,2]
[1,3,5,4,7,8,6,2]=>[1,6,3,5,4,8,7,2]
[1,4,3,5,8,7,6,2]=>[1,6,4,3,5,7,8,2]
[1,4,3,5,7,8,6,2]=>[1,6,4,3,5,8,7,2]
[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2]
[1,3,4,5,7,8,6,2]=>[1,6,3,4,5,8,7,2]
[1,6,5,4,3,8,7,2]=>[1,7,4,5,6,3,8,2]
[1,5,6,4,3,8,7,2]=>[1,7,4,6,5,3,8,2]
[1,4,6,5,3,8,7,2]=>[1,7,5,4,6,3,8,2]
[1,5,4,6,3,8,7,2]=>[1,7,6,5,4,3,8,2]
[1,4,5,6,3,8,7,2]=>[1,7,6,4,5,3,8,2]
[1,3,6,5,4,8,7,2]=>[1,7,3,5,6,4,8,2]
[1,3,5,6,4,8,7,2]=>[1,7,3,6,5,4,8,2]
[1,4,3,6,5,8,7,2]=>[1,7,4,3,6,5,8,2]
[1,3,4,6,5,8,7,2]=>[1,7,3,4,6,5,8,2]
[1,5,4,3,6,8,7,2]=>[1,7,4,5,3,6,8,2]
[1,4,5,3,6,8,7,2]=>[1,7,5,4,3,6,8,2]
[1,3,5,4,6,8,7,2]=>[1,7,3,5,4,6,8,2]
[1,4,3,5,6,8,7,2]=>[1,7,4,3,5,6,8,2]
[1,3,4,5,6,8,7,2]=>[1,7,3,4,5,6,8,2]
[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2]
[1,6,7,5,4,3,8,2]=>[1,8,4,5,7,6,3,2]
[1,5,7,6,4,3,8,2]=>[1,8,4,6,5,7,3,2]
[1,6,5,7,4,3,8,2]=>[1,8,4,7,6,5,3,2]
[1,5,6,7,4,3,8,2]=>[1,8,4,7,5,6,3,2]
[1,4,7,6,5,3,8,2]=>[1,8,5,4,6,7,3,2]
[1,4,6,7,5,3,8,2]=>[1,8,5,4,7,6,3,2]
[1,5,4,7,6,3,8,2]=>[1,8,6,5,4,7,3,2]
[1,4,5,7,6,3,8,2]=>[1,8,6,4,5,7,3,2]
[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2]
[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2]
[1,4,5,6,7,3,8,2]=>[1,8,7,4,5,6,3,2]
[1,3,5,7,6,4,8,2]=>[1,8,3,6,5,7,4,2]
[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2]
[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2]
[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2]
[1,3,4,7,6,5,8,2]=>[1,8,3,4,6,7,5,2]
[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2]
[1,5,4,3,7,6,8,2]=>[1,8,4,5,3,7,6,2]
[1,3,5,4,7,6,8,2]=>[1,8,3,5,4,7,6,2]
[1,4,3,5,7,6,8,2]=>[1,8,4,3,5,7,6,2]
[1,3,4,5,7,6,8,2]=>[1,8,3,4,5,7,6,2]
[1,6,5,4,3,7,8,2]=>[1,8,4,5,6,3,7,2]
[1,4,6,5,3,7,8,2]=>[1,8,5,4,6,3,7,2]
[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2]
[1,4,5,6,3,7,8,2]=>[1,8,6,4,5,3,7,2]
[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2]
[1,4,3,6,5,7,8,2]=>[1,8,4,3,6,5,7,2]
[1,3,4,6,5,7,8,2]=>[1,8,3,4,6,5,7,2]
[1,5,4,3,6,7,8,2]=>[1,8,4,5,3,6,7,2]
[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2]
[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2]
[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2]
[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]
[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3]
[2,1,7,8,6,5,4,3]=>[2,1,4,5,6,8,7,3]
[2,1,6,8,7,5,4,3]=>[2,1,4,5,7,6,8,3]
[2,1,7,6,8,5,4,3]=>[2,1,4,5,8,7,6,3]
[2,1,6,7,8,5,4,3]=>[2,1,4,5,8,6,7,3]
[2,1,5,8,7,6,4,3]=>[2,1,4,6,5,7,8,3]
[2,1,5,7,8,6,4,3]=>[2,1,4,6,5,8,7,3]
[2,1,6,5,8,7,4,3]=>[2,1,4,7,6,5,8,3]
[2,1,5,6,8,7,4,3]=>[2,1,4,7,5,6,8,3]
[2,1,7,6,5,8,4,3]=>[2,1,4,8,6,7,5,3]
[2,1,6,7,5,8,4,3]=>[2,1,4,8,7,6,5,3]
[2,1,5,7,6,8,4,3]=>[2,1,4,8,5,7,6,3]
[2,1,6,5,7,8,4,3]=>[2,1,4,8,6,5,7,3]
[2,1,5,6,7,8,4,3]=>[2,1,4,8,5,6,7,3]
[2,1,4,8,7,6,5,3]=>[2,1,5,4,6,7,8,3]
[2,1,4,7,8,6,5,3]=>[2,1,5,4,6,8,7,3]
[2,1,4,6,8,7,5,3]=>[2,1,5,4,7,6,8,3]
[2,1,4,7,6,8,5,3]=>[2,1,5,4,8,7,6,3]
[2,1,4,6,7,8,5,3]=>[2,1,5,4,8,6,7,3]
[2,1,5,4,8,7,6,3]=>[2,1,6,5,4,7,8,3]
[2,1,5,4,7,8,6,3]=>[2,1,6,5,4,8,7,3]
[2,1,4,5,8,7,6,3]=>[2,1,6,4,5,7,8,3]
[2,1,4,5,7,8,6,3]=>[2,1,6,4,5,8,7,3]
[2,1,6,5,4,8,7,3]=>[2,1,7,5,6,4,8,3]
[2,1,5,6,4,8,7,3]=>[2,1,7,6,5,4,8,3]
[2,1,4,6,5,8,7,3]=>[2,1,7,4,6,5,8,3]
[2,1,5,4,6,8,7,3]=>[2,1,7,5,4,6,8,3]
[2,1,4,5,6,8,7,3]=>[2,1,7,4,5,6,8,3]
[2,1,7,6,5,4,8,3]=>[2,1,8,5,6,7,4,3]
[2,1,6,7,5,4,8,3]=>[2,1,8,5,7,6,4,3]
[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,7,4,3]
[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3]
[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3]
[2,1,4,7,6,5,8,3]=>[2,1,8,4,6,7,5,3]
[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3]
[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3]
[2,1,4,5,7,6,8,3]=>[2,1,8,4,5,7,6,3]
[2,1,6,5,4,7,8,3]=>[2,1,8,5,6,4,7,3]
[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3]
[2,1,4,6,5,7,8,3]=>[2,1,8,4,6,5,7,3]
[2,1,5,4,6,7,8,3]=>[2,1,8,5,4,6,7,3]
[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]
[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]
[1,2,7,8,6,5,4,3]=>[1,2,4,5,6,8,7,3]
[1,2,6,8,7,5,4,3]=>[1,2,4,5,7,6,8,3]
[1,2,7,6,8,5,4,3]=>[1,2,4,5,8,7,6,3]
[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3]
[1,2,5,8,7,6,4,3]=>[1,2,4,6,5,7,8,3]
[1,2,5,7,8,6,4,3]=>[1,2,4,6,5,8,7,3]
[1,2,6,5,8,7,4,3]=>[1,2,4,7,6,5,8,3]
[1,2,5,6,8,7,4,3]=>[1,2,4,7,5,6,8,3]
[1,2,7,6,5,8,4,3]=>[1,2,4,8,6,7,5,3]
[1,2,6,7,5,8,4,3]=>[1,2,4,8,7,6,5,3]
[1,2,5,7,6,8,4,3]=>[1,2,4,8,5,7,6,3]
[1,2,6,5,7,8,4,3]=>[1,2,4,8,6,5,7,3]
[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]
[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3]
[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3]
[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]
[1,2,4,7,6,8,5,3]=>[1,2,5,4,8,7,6,3]
[1,2,4,6,7,8,5,3]=>[1,2,5,4,8,6,7,3]
[1,2,5,4,8,7,6,3]=>[1,2,6,5,4,7,8,3]
[1,2,5,4,7,8,6,3]=>[1,2,6,5,4,8,7,3]
[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3]
[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3]
[1,2,6,5,4,8,7,3]=>[1,2,7,5,6,4,8,3]
[1,2,5,6,4,8,7,3]=>[1,2,7,6,5,4,8,3]
[1,2,4,6,5,8,7,3]=>[1,2,7,4,6,5,8,3]
[1,2,5,4,6,8,7,3]=>[1,2,7,5,4,6,8,3]
[1,2,4,5,6,8,7,3]=>[1,2,7,4,5,6,8,3]
[1,2,7,6,5,4,8,3]=>[1,2,8,5,6,7,4,3]
[1,2,6,7,5,4,8,3]=>[1,2,8,5,7,6,4,3]
[1,2,5,7,6,4,8,3]=>[1,2,8,6,5,7,4,3]
[1,2,6,5,7,4,8,3]=>[1,2,8,7,6,5,4,3]
[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3]
[1,2,4,7,6,5,8,3]=>[1,2,8,4,6,7,5,3]
[1,2,4,6,7,5,8,3]=>[1,2,8,4,7,6,5,3]
[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3]
[1,2,6,5,4,7,8,3]=>[1,2,8,5,6,4,7,3]
[1,2,5,6,4,7,8,3]=>[1,2,8,6,5,4,7,3]
[1,2,4,6,5,7,8,3]=>[1,2,8,4,6,5,7,3]
[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3]
[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]
[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4]
[3,2,1,7,8,6,5,4]=>[2,3,1,5,6,8,7,4]
[3,2,1,6,8,7,5,4]=>[2,3,1,5,7,6,8,4]
[3,2,1,7,6,8,5,4]=>[2,3,1,5,8,7,6,4]
[3,2,1,6,7,8,5,4]=>[2,3,1,5,8,6,7,4]
[3,2,1,5,8,7,6,4]=>[2,3,1,6,5,7,8,4]
[3,2,1,5,7,8,6,4]=>[2,3,1,6,5,8,7,4]
[3,2,1,6,5,8,7,4]=>[2,3,1,7,6,5,8,4]
[3,2,1,5,6,8,7,4]=>[2,3,1,7,5,6,8,4]
[3,2,1,7,6,5,8,4]=>[2,3,1,8,6,7,5,4]
[3,2,1,6,7,5,8,4]=>[2,3,1,8,7,6,5,4]
[3,2,1,5,7,6,8,4]=>[2,3,1,8,5,7,6,4]
[3,2,1,6,5,7,8,4]=>[2,3,1,8,6,5,7,4]
[3,2,1,5,6,7,8,4]=>[2,3,1,8,5,6,7,4]
[2,3,1,8,7,6,5,4]=>[3,2,1,5,6,7,8,4]
[2,3,1,7,8,6,5,4]=>[3,2,1,5,6,8,7,4]
[2,3,1,6,8,7,5,4]=>[3,2,1,5,7,6,8,4]
[2,3,1,7,6,8,5,4]=>[3,2,1,5,8,7,6,4]
[2,3,1,6,7,8,5,4]=>[3,2,1,5,8,6,7,4]
[2,3,1,5,8,7,6,4]=>[3,2,1,6,5,7,8,4]
[2,3,1,5,7,8,6,4]=>[3,2,1,6,5,8,7,4]
[2,3,1,6,5,8,7,4]=>[3,2,1,7,6,5,8,4]
[2,3,1,5,6,8,7,4]=>[3,2,1,7,5,6,8,4]
[2,3,1,7,6,5,8,4]=>[3,2,1,8,6,7,5,4]
[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4]
[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4]
[2,3,1,6,5,7,8,4]=>[3,2,1,8,6,5,7,4]
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]
[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4]
[1,3,2,7,8,6,5,4]=>[1,3,2,5,6,8,7,4]
[1,3,2,6,8,7,5,4]=>[1,3,2,5,7,6,8,4]
[1,3,2,7,6,8,5,4]=>[1,3,2,5,8,7,6,4]
[1,3,2,6,7,8,5,4]=>[1,3,2,5,8,6,7,4]
[1,3,2,5,8,7,6,4]=>[1,3,2,6,5,7,8,4]
[1,3,2,5,7,8,6,4]=>[1,3,2,6,5,8,7,4]
[1,3,2,6,5,8,7,4]=>[1,3,2,7,6,5,8,4]
[1,3,2,5,6,8,7,4]=>[1,3,2,7,5,6,8,4]
[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,7,5,4]
[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4]
[1,3,2,5,7,6,8,4]=>[1,3,2,8,5,7,6,4]
[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4]
[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]
[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4]
[2,1,3,7,8,6,5,4]=>[2,1,3,5,6,8,7,4]
[2,1,3,6,8,7,5,4]=>[2,1,3,5,7,6,8,4]
[2,1,3,7,6,8,5,4]=>[2,1,3,5,8,7,6,4]
[2,1,3,6,7,8,5,4]=>[2,1,3,5,8,6,7,4]
[2,1,3,5,8,7,6,4]=>[2,1,3,6,5,7,8,4]
[2,1,3,5,7,8,6,4]=>[2,1,3,6,5,8,7,4]
[2,1,3,6,5,8,7,4]=>[2,1,3,7,6,5,8,4]
[2,1,3,5,6,8,7,4]=>[2,1,3,7,5,6,8,4]
[2,1,3,7,6,5,8,4]=>[2,1,3,8,6,7,5,4]
[2,1,3,6,7,5,8,4]=>[2,1,3,8,7,6,5,4]
[2,1,3,5,7,6,8,4]=>[2,1,3,8,5,7,6,4]
[2,1,3,6,5,7,8,4]=>[2,1,3,8,6,5,7,4]
[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]
[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]
[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]
[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]
[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]
[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]
[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]
[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]
[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]
[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]
[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]
[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]
[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]
[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]
[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]
[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]
[4,3,2,1,7,8,6,5]=>[2,3,4,1,6,8,7,5]
[4,3,2,1,6,8,7,5]=>[2,3,4,1,7,6,8,5]
[4,3,2,1,7,6,8,5]=>[2,3,4,1,8,7,6,5]
[4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5]
[3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5]
[3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5]
[3,4,2,1,6,8,7,5]=>[2,4,3,1,7,6,8,5]
[3,4,2,1,7,6,8,5]=>[2,4,3,1,8,7,6,5]
[3,4,2,1,6,7,8,5]=>[2,4,3,1,8,6,7,5]
[2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5]
[2,4,3,1,7,8,6,5]=>[3,2,4,1,6,8,7,5]
[2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5]
[2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]
[2,4,3,1,6,7,8,5]=>[3,2,4,1,8,6,7,5]
[3,2,4,1,8,7,6,5]=>[4,3,2,1,6,7,8,5]
[3,2,4,1,7,8,6,5]=>[4,3,2,1,6,8,7,5]
[3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]
[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]
[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]
[2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5]
[2,3,4,1,7,8,6,5]=>[4,2,3,1,6,8,7,5]
[2,3,4,1,6,8,7,5]=>[4,2,3,1,7,6,8,5]
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]
[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]
[1,4,3,2,7,8,6,5]=>[1,3,4,2,6,8,7,5]
[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5]
[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]
[1,4,3,2,6,7,8,5]=>[1,3,4,2,8,6,7,5]
[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]
[1,3,4,2,7,8,6,5]=>[1,4,3,2,6,8,7,5]
[1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5]
[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]
[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]
[1,2,4,3,7,8,6,5]=>[1,2,4,3,6,8,7,5]
[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]
[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5]
[3,2,1,4,7,8,6,5]=>[2,3,1,4,6,8,7,5]
[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5]
[3,2,1,4,7,6,8,5]=>[2,3,1,4,8,7,6,5]
[3,2,1,4,6,7,8,5]=>[2,3,1,4,8,6,7,5]
[2,3,1,4,8,7,6,5]=>[3,2,1,4,6,7,8,5]
[2,3,1,4,7,8,6,5]=>[3,2,1,4,6,8,7,5]
[2,3,1,4,6,8,7,5]=>[3,2,1,4,7,6,8,5]
[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5]
[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]
[1,3,2,4,7,8,6,5]=>[1,3,2,4,6,8,7,5]
[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5]
[2,1,3,4,7,8,6,5]=>[2,1,3,4,6,8,7,5]
[2,1,3,4,6,8,7,5]=>[2,1,3,4,7,6,8,5]
[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5]
[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,8,7,5]
[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6]
[5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6]
[4,5,3,2,1,8,7,6]=>[2,3,5,4,1,7,8,6]
[4,5,3,2,1,7,8,6]=>[2,3,5,4,1,8,7,6]
[3,5,4,2,1,8,7,6]=>[2,4,3,5,1,7,8,6]
[3,5,4,2,1,7,8,6]=>[2,4,3,5,1,8,7,6]
[4,3,5,2,1,8,7,6]=>[2,5,4,3,1,7,8,6]
[4,3,5,2,1,7,8,6]=>[2,5,4,3,1,8,7,6]
[3,4,5,2,1,8,7,6]=>[2,5,3,4,1,7,8,6]
[3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6]
[2,5,4,3,1,8,7,6]=>[3,2,4,5,1,7,8,6]
[2,5,4,3,1,7,8,6]=>[3,2,4,5,1,8,7,6]
[2,4,5,3,1,8,7,6]=>[3,2,5,4,1,7,8,6]
[2,4,5,3,1,7,8,6]=>[3,2,5,4,1,8,7,6]
[3,2,5,4,1,8,7,6]=>[4,3,2,5,1,7,8,6]
[3,2,5,4,1,7,8,6]=>[4,3,2,5,1,8,7,6]
[2,3,5,4,1,8,7,6]=>[4,2,3,5,1,7,8,6]
[2,3,5,4,1,7,8,6]=>[4,2,3,5,1,8,7,6]
[4,3,2,5,1,8,7,6]=>[5,3,4,2,1,7,8,6]
[4,3,2,5,1,7,8,6]=>[5,3,4,2,1,8,7,6]
[3,4,2,5,1,8,7,6]=>[5,4,3,2,1,7,8,6]
[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6]
[2,4,3,5,1,8,7,6]=>[5,2,4,3,1,7,8,6]
[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6]
[3,2,4,5,1,8,7,6]=>[5,3,2,4,1,7,8,6]
[3,2,4,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]
[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,7,8,6]
[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]
[1,5,4,3,2,8,7,6]=>[1,3,4,5,2,7,8,6]
[1,5,4,3,2,7,8,6]=>[1,3,4,5,2,8,7,6]
[1,4,5,3,2,8,7,6]=>[1,3,5,4,2,7,8,6]
[1,4,5,3,2,7,8,6]=>[1,3,5,4,2,8,7,6]
[1,3,5,4,2,8,7,6]=>[1,4,3,5,2,7,8,6]
[1,3,5,4,2,7,8,6]=>[1,4,3,5,2,8,7,6]
[1,4,3,5,2,8,7,6]=>[1,5,4,3,2,7,8,6]
[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6]
[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,7,8,6]
[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]
[2,1,5,4,3,8,7,6]=>[2,1,4,5,3,7,8,6]
[2,1,5,4,3,7,8,6]=>[2,1,4,5,3,8,7,6]
[2,1,4,5,3,8,7,6]=>[2,1,5,4,3,7,8,6]
[2,1,4,5,3,7,8,6]=>[2,1,5,4,3,8,7,6]
[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]
[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]
[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,7,8,6]
[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]
[3,2,1,5,4,8,7,6]=>[2,3,1,5,4,7,8,6]
[3,2,1,5,4,7,8,6]=>[2,3,1,5,4,8,7,6]
[2,3,1,5,4,7,8,6]=>[3,2,1,5,4,8,7,6]
[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]
[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]
[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6]
[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]
[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]
[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]
[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]
[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6]
[3,4,2,1,5,8,7,6]=>[2,4,3,1,5,7,8,6]
[3,4,2,1,5,7,8,6]=>[2,4,3,1,5,8,7,6]
[2,4,3,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]
[2,4,3,1,5,7,8,6]=>[3,2,4,1,5,8,7,6]
[3,2,4,1,5,8,7,6]=>[4,3,2,1,5,7,8,6]
[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]
[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,7,8,6]
[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]
[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]
[1,4,3,2,5,7,8,6]=>[1,3,4,2,5,8,7,6]
[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,7,8,6]
[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]
[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]
[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]
[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]
[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]
[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]
[3,2,1,4,5,7,8,6]=>[2,3,1,4,5,8,7,6]
[2,3,1,4,5,8,7,6]=>[3,2,1,4,5,7,8,6]
[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]
[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]
[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]
[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]
[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7]
[5,6,4,3,2,1,8,7]=>[2,3,4,6,5,1,8,7]
[4,6,5,3,2,1,8,7]=>[2,3,5,4,6,1,8,7]
[5,4,6,3,2,1,8,7]=>[2,3,6,5,4,1,8,7]
[4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7]
[3,6,5,4,2,1,8,7]=>[2,4,3,5,6,1,8,7]
[3,5,6,4,2,1,8,7]=>[2,4,3,6,5,1,8,7]
[4,3,6,5,2,1,8,7]=>[2,5,4,3,6,1,8,7]
[3,4,6,5,2,1,8,7]=>[2,5,3,4,6,1,8,7]
[5,4,3,6,2,1,8,7]=>[2,6,4,5,3,1,8,7]
[4,5,3,6,2,1,8,7]=>[2,6,5,4,3,1,8,7]
[3,5,4,6,2,1,8,7]=>[2,6,3,5,4,1,8,7]
[4,3,5,6,2,1,8,7]=>[2,6,4,3,5,1,8,7]
[3,4,5,6,2,1,8,7]=>[2,6,3,4,5,1,8,7]
[2,6,5,4,3,1,8,7]=>[3,2,4,5,6,1,8,7]
[2,5,6,4,3,1,8,7]=>[3,2,4,6,5,1,8,7]
[2,4,6,5,3,1,8,7]=>[3,2,5,4,6,1,8,7]
[2,5,4,6,3,1,8,7]=>[3,2,6,5,4,1,8,7]
[2,4,5,6,3,1,8,7]=>[3,2,6,4,5,1,8,7]
[3,2,6,5,4,1,8,7]=>[4,3,2,5,6,1,8,7]
[3,2,5,6,4,1,8,7]=>[4,3,2,6,5,1,8,7]
[2,3,6,5,4,1,8,7]=>[4,2,3,5,6,1,8,7]
[2,3,5,6,4,1,8,7]=>[4,2,3,6,5,1,8,7]
[4,3,2,6,5,1,8,7]=>[5,3,4,2,6,1,8,7]
[3,4,2,6,5,1,8,7]=>[5,4,3,2,6,1,8,7]
[2,4,3,6,5,1,8,7]=>[5,2,4,3,6,1,8,7]
[3,2,4,6,5,1,8,7]=>[5,3,2,4,6,1,8,7]
[2,3,4,6,5,1,8,7]=>[5,2,3,4,6,1,8,7]
[5,4,3,2,6,1,8,7]=>[6,3,4,5,2,1,8,7]
[4,5,3,2,6,1,8,7]=>[6,3,5,4,2,1,8,7]
[3,5,4,2,6,1,8,7]=>[6,4,3,5,2,1,8,7]
[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7]
[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7]
[2,5,4,3,6,1,8,7]=>[6,2,4,5,3,1,8,7]
[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7]
[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7]
[4,3,2,5,6,1,8,7]=>[6,3,4,2,5,1,8,7]
[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7]
[2,4,3,5,6,1,8,7]=>[6,2,4,3,5,1,8,7]
[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]
[1,6,5,4,3,2,8,7]=>[1,3,4,5,6,2,8,7]
[1,5,6,4,3,2,8,7]=>[1,3,4,6,5,2,8,7]
[1,5,4,6,3,2,8,7]=>[1,3,6,5,4,2,8,7]
[1,4,5,6,3,2,8,7]=>[1,3,6,4,5,2,8,7]
[1,3,6,5,4,2,8,7]=>[1,4,3,5,6,2,8,7]
[1,3,5,6,4,2,8,7]=>[1,4,3,6,5,2,8,7]
[1,3,4,6,5,2,8,7]=>[1,5,3,4,6,2,8,7]
[1,3,4,5,6,2,8,7]=>[1,6,3,4,5,2,8,7]
[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7]
[2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7]
[2,1,4,6,5,3,8,7]=>[2,1,5,4,6,3,8,7]
[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]
[1,2,6,5,4,3,8,7]=>[1,2,4,5,6,3,8,7]
[1,2,5,6,4,3,8,7]=>[1,2,4,6,5,3,8,7]
[1,2,4,6,5,3,8,7]=>[1,2,5,4,6,3,8,7]
[1,2,5,4,6,3,8,7]=>[1,2,6,5,4,3,8,7]
[1,2,4,5,6,3,8,7]=>[1,2,6,4,5,3,8,7]
[3,2,1,6,5,4,8,7]=>[2,3,1,5,6,4,8,7]
[3,2,1,5,6,4,8,7]=>[2,3,1,6,5,4,8,7]
[2,3,1,6,5,4,8,7]=>[3,2,1,5,6,4,8,7]
[2,3,1,5,6,4,8,7]=>[3,2,1,6,5,4,8,7]
[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7]
[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]
[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]
[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]
[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]
[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]
[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]
[3,4,2,1,6,5,8,7]=>[2,4,3,1,6,5,8,7]
[2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]
[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]
[1,4,3,2,6,5,8,7]=>[1,3,4,2,6,5,8,7]
[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]
[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]
[3,2,1,4,6,5,8,7]=>[2,3,1,4,6,5,8,7]
[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]
[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]
[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]
[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]
[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7]
[4,5,3,2,1,6,8,7]=>[2,3,5,4,1,6,8,7]
[3,5,4,2,1,6,8,7]=>[2,4,3,5,1,6,8,7]
[4,3,5,2,1,6,8,7]=>[2,5,4,3,1,6,8,7]
[3,4,5,2,1,6,8,7]=>[2,5,3,4,1,6,8,7]
[2,5,4,3,1,6,8,7]=>[3,2,4,5,1,6,8,7]
[2,4,5,3,1,6,8,7]=>[3,2,5,4,1,6,8,7]
[3,2,5,4,1,6,8,7]=>[4,3,2,5,1,6,8,7]
[2,3,5,4,1,6,8,7]=>[4,2,3,5,1,6,8,7]
[4,3,2,5,1,6,8,7]=>[5,3,4,2,1,6,8,7]
[3,4,2,5,1,6,8,7]=>[5,4,3,2,1,6,8,7]
[2,4,3,5,1,6,8,7]=>[5,2,4,3,1,6,8,7]
[3,2,4,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]
[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]
[1,5,4,3,2,6,8,7]=>[1,3,4,5,2,6,8,7]
[1,4,5,3,2,6,8,7]=>[1,3,5,4,2,6,8,7]
[1,3,5,4,2,6,8,7]=>[1,4,3,5,2,6,8,7]
[1,4,3,5,2,6,8,7]=>[1,5,4,3,2,6,8,7]
[1,3,4,5,2,6,8,7]=>[1,5,3,4,2,6,8,7]
[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]
[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]
[1,2,5,4,3,6,8,7]=>[1,2,4,5,3,6,8,7]
[1,2,4,5,3,6,8,7]=>[1,2,5,4,3,6,8,7]
[3,2,1,5,4,6,8,7]=>[2,3,1,5,4,6,8,7]
[1,3,2,5,4,6,8,7]=>[1,3,2,5,4,6,8,7]
[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]
[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]
[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]
[3,4,2,1,5,6,8,7]=>[2,4,3,1,5,6,8,7]
[2,4,3,1,5,6,8,7]=>[3,2,4,1,5,6,8,7]
[3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]
[2,3,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7]
[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7]
[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]
[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]
[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]
[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]
[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]
[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8]
[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8]
[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8]
[5,4,7,6,3,2,1,8]=>[2,3,6,5,4,7,1,8]
[4,5,7,6,3,2,1,8]=>[2,3,6,4,5,7,1,8]
[4,6,5,7,3,2,1,8]=>[2,3,7,4,6,5,1,8]
[3,7,6,5,4,2,1,8]=>[2,4,3,5,6,7,1,8]
[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8]
[3,5,6,7,4,2,1,8]=>[2,4,3,7,5,6,1,8]
[4,3,7,6,5,2,1,8]=>[2,5,4,3,6,7,1,8]
[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8]
[5,4,3,7,6,2,1,8]=>[2,6,4,5,3,7,1,8]
[4,5,3,7,6,2,1,8]=>[2,6,5,4,3,7,1,8]
[3,5,4,7,6,2,1,8]=>[2,6,3,5,4,7,1,8]
[4,3,5,7,6,2,1,8]=>[2,6,4,3,5,7,1,8]
[4,6,5,3,7,2,1,8]=>[2,7,5,4,6,3,1,8]
[3,6,5,4,7,2,1,8]=>[2,7,3,5,6,4,1,8]
[3,5,6,4,7,2,1,8]=>[2,7,3,6,5,4,1,8]
[4,3,6,5,7,2,1,8]=>[2,7,4,3,6,5,1,8]
[2,7,6,5,4,3,1,8]=>[3,2,4,5,6,7,1,8]
[2,6,7,5,4,3,1,8]=>[3,2,4,5,7,6,1,8]
[2,5,7,6,4,3,1,8]=>[3,2,4,6,5,7,1,8]
[2,6,5,7,4,3,1,8]=>[3,2,4,7,6,5,1,8]
[2,5,6,7,4,3,1,8]=>[3,2,4,7,5,6,1,8]
[2,4,7,6,5,3,1,8]=>[3,2,5,4,6,7,1,8]
[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]
[2,5,4,7,6,3,1,8]=>[3,2,6,5,4,7,1,8]
[2,4,5,7,6,3,1,8]=>[3,2,6,4,5,7,1,8]
[2,5,6,4,7,3,1,8]=>[3,2,7,6,5,4,1,8]
[2,5,4,6,7,3,1,8]=>[3,2,7,5,4,6,1,8]
[2,4,5,6,7,3,1,8]=>[3,2,7,4,5,6,1,8]
[3,2,7,6,5,4,1,8]=>[4,3,2,5,6,7,1,8]
[3,2,6,7,5,4,1,8]=>[4,3,2,5,7,6,1,8]
[3,2,5,7,6,4,1,8]=>[4,3,2,6,5,7,1,8]
[3,2,6,5,7,4,1,8]=>[4,3,2,7,6,5,1,8]
[3,2,5,6,7,4,1,8]=>[4,3,2,7,5,6,1,8]
[2,3,7,6,5,4,1,8]=>[4,2,3,5,6,7,1,8]
[2,3,6,7,5,4,1,8]=>[4,2,3,5,7,6,1,8]
[2,3,5,7,6,4,1,8]=>[4,2,3,6,5,7,1,8]
[2,3,6,5,7,4,1,8]=>[4,2,3,7,6,5,1,8]
[2,3,5,6,7,4,1,8]=>[4,2,3,7,5,6,1,8]
[4,3,2,7,6,5,1,8]=>[5,3,4,2,6,7,1,8]
[4,3,2,6,7,5,1,8]=>[5,3,4,2,7,6,1,8]
[3,4,2,7,6,5,1,8]=>[5,4,3,2,6,7,1,8]
[3,4,2,6,7,5,1,8]=>[5,4,3,2,7,6,1,8]
[2,4,3,7,6,5,1,8]=>[5,2,4,3,6,7,1,8]
[3,2,4,7,6,5,1,8]=>[5,3,2,4,6,7,1,8]
[3,2,4,6,7,5,1,8]=>[5,3,2,4,7,6,1,8]
[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8]
[2,3,4,6,7,5,1,8]=>[5,2,3,4,7,6,1,8]
[5,4,3,2,7,6,1,8]=>[6,3,4,5,2,7,1,8]
[4,5,3,2,7,6,1,8]=>[6,3,5,4,2,7,1,8]
[3,5,4,2,7,6,1,8]=>[6,4,3,5,2,7,1,8]
[4,3,5,2,7,6,1,8]=>[6,5,4,3,2,7,1,8]
[3,4,5,2,7,6,1,8]=>[6,5,3,4,2,7,1,8]
[2,5,4,3,7,6,1,8]=>[6,2,4,5,3,7,1,8]
[3,2,5,4,7,6,1,8]=>[6,3,2,5,4,7,1,8]
[2,3,5,4,7,6,1,8]=>[6,2,3,5,4,7,1,8]
[4,3,2,5,7,6,1,8]=>[6,3,4,2,5,7,1,8]
[3,4,2,5,7,6,1,8]=>[6,4,3,2,5,7,1,8]
[2,4,3,5,7,6,1,8]=>[6,2,4,3,5,7,1,8]
[3,2,4,5,7,6,1,8]=>[6,3,2,4,5,7,1,8]
[2,3,4,5,7,6,1,8]=>[6,2,3,4,5,7,1,8]
[3,6,5,4,2,7,1,8]=>[7,4,3,5,6,2,1,8]
[3,5,6,4,2,7,1,8]=>[7,4,3,6,5,2,1,8]
[4,3,6,5,2,7,1,8]=>[7,5,4,3,6,2,1,8]
[3,4,6,5,2,7,1,8]=>[7,5,3,4,6,2,1,8]
[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8]
[2,6,5,4,3,7,1,8]=>[7,2,4,5,6,3,1,8]
[2,4,6,5,3,7,1,8]=>[7,2,5,4,6,3,1,8]
[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8]
[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8]
[3,2,6,5,4,7,1,8]=>[7,3,2,5,6,4,1,8]
[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8]
[4,3,2,6,5,7,1,8]=>[7,3,4,2,6,5,1,8]
[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8]
[2,4,3,6,5,7,1,8]=>[7,2,4,3,6,5,1,8]
[3,2,4,6,5,7,1,8]=>[7,3,2,4,6,5,1,8]
[2,3,4,6,5,7,1,8]=>[7,2,3,4,6,5,1,8]
[3,5,4,2,6,7,1,8]=>[7,4,3,5,2,6,1,8]
[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8]
[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8]
[3,2,5,4,6,7,1,8]=>[7,3,2,5,4,6,1,8]
[2,3,5,4,6,7,1,8]=>[7,2,3,5,4,6,1,8]
[2,4,3,5,6,7,1,8]=>[7,2,4,3,5,6,1,8]
[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8]
[1,6,7,5,4,3,2,8]=>[1,3,4,5,7,6,2,8]
[1,5,7,6,4,3,2,8]=>[1,3,4,6,5,7,2,8]
[1,6,5,7,4,3,2,8]=>[1,3,4,7,6,5,2,8]
[1,5,6,7,4,3,2,8]=>[1,3,4,7,5,6,2,8]
[1,4,7,6,5,3,2,8]=>[1,3,5,4,6,7,2,8]
[1,4,6,7,5,3,2,8]=>[1,3,5,4,7,6,2,8]
[1,5,4,7,6,3,2,8]=>[1,3,6,5,4,7,2,8]
[1,4,5,7,6,3,2,8]=>[1,3,6,4,5,7,2,8]
[1,5,6,4,7,3,2,8]=>[1,3,7,6,5,4,2,8]
[1,4,6,5,7,3,2,8]=>[1,3,7,4,6,5,2,8]
[1,5,4,6,7,3,2,8]=>[1,3,7,5,4,6,2,8]
[1,4,5,6,7,3,2,8]=>[1,3,7,4,5,6,2,8]
[1,3,7,6,5,4,2,8]=>[1,4,3,5,6,7,2,8]
[1,3,6,7,5,4,2,8]=>[1,4,3,5,7,6,2,8]
[1,3,5,7,6,4,2,8]=>[1,4,3,6,5,7,2,8]
[1,3,6,5,7,4,2,8]=>[1,4,3,7,6,5,2,8]
[1,3,5,6,7,4,2,8]=>[1,4,3,7,5,6,2,8]
[1,4,3,7,6,5,2,8]=>[1,5,4,3,6,7,2,8]
[1,3,4,6,7,5,2,8]=>[1,5,3,4,7,6,2,8]
[1,4,5,3,7,6,2,8]=>[1,6,5,4,3,7,2,8]
[1,3,5,4,7,6,2,8]=>[1,6,3,5,4,7,2,8]
[1,4,3,5,7,6,2,8]=>[1,6,4,3,5,7,2,8]
[1,3,4,5,7,6,2,8]=>[1,6,3,4,5,7,2,8]
[1,6,5,4,3,7,2,8]=>[1,7,4,5,6,3,2,8]
[1,5,6,4,3,7,2,8]=>[1,7,4,6,5,3,2,8]
[1,4,6,5,3,7,2,8]=>[1,7,5,4,6,3,2,8]
[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8]
[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8]
[1,3,6,5,4,7,2,8]=>[1,7,3,5,6,4,2,8]
[1,3,5,6,4,7,2,8]=>[1,7,3,6,5,4,2,8]
[1,4,3,6,5,7,2,8]=>[1,7,4,3,6,5,2,8]
[1,3,4,6,5,7,2,8]=>[1,7,3,4,6,5,2,8]
[1,5,4,3,6,7,2,8]=>[1,7,4,5,3,6,2,8]
[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8]
[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8]
[1,4,3,5,6,7,2,8]=>[1,7,4,3,5,6,2,8]
[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]
[2,1,7,6,5,4,3,8]=>[2,1,4,5,6,7,3,8]
[2,1,6,7,5,4,3,8]=>[2,1,4,5,7,6,3,8]
[2,1,5,6,7,4,3,8]=>[2,1,4,7,5,6,3,8]
[2,1,4,7,6,5,3,8]=>[2,1,5,4,6,7,3,8]
[2,1,4,6,7,5,3,8]=>[2,1,5,4,7,6,3,8]
[2,1,5,4,7,6,3,8]=>[2,1,6,5,4,7,3,8]
[2,1,4,5,7,6,3,8]=>[2,1,6,4,5,7,3,8]
[2,1,6,5,4,7,3,8]=>[2,1,7,5,6,4,3,8]
[2,1,5,6,4,7,3,8]=>[2,1,7,6,5,4,3,8]
[2,1,4,6,5,7,3,8]=>[2,1,7,4,6,5,3,8]
[2,1,5,4,6,7,3,8]=>[2,1,7,5,4,6,3,8]
[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8]
[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8]
[1,2,6,7,5,4,3,8]=>[1,2,4,5,7,6,3,8]
[1,2,5,7,6,4,3,8]=>[1,2,4,6,5,7,3,8]
[1,2,5,6,7,4,3,8]=>[1,2,4,7,5,6,3,8]
[1,2,4,7,6,5,3,8]=>[1,2,5,4,6,7,3,8]
[1,2,4,6,7,5,3,8]=>[1,2,5,4,7,6,3,8]
[1,2,5,4,7,6,3,8]=>[1,2,6,5,4,7,3,8]
[1,2,4,5,7,6,3,8]=>[1,2,6,4,5,7,3,8]
[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8]
[1,2,4,6,5,7,3,8]=>[1,2,7,4,6,5,3,8]
[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8]
[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]
[3,2,1,7,6,5,4,8]=>[2,3,1,5,6,7,4,8]
[3,2,1,6,7,5,4,8]=>[2,3,1,5,7,6,4,8]
[3,2,1,5,7,6,4,8]=>[2,3,1,6,5,7,4,8]
[3,2,1,6,5,7,4,8]=>[2,3,1,7,6,5,4,8]
[3,2,1,5,6,7,4,8]=>[2,3,1,7,5,6,4,8]
[2,3,1,7,6,5,4,8]=>[3,2,1,5,6,7,4,8]
[2,3,1,6,7,5,4,8]=>[3,2,1,5,7,6,4,8]
[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8]
[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]
[1,3,2,7,6,5,4,8]=>[1,3,2,5,6,7,4,8]
[1,3,2,6,7,5,4,8]=>[1,3,2,5,7,6,4,8]
[1,3,2,5,7,6,4,8]=>[1,3,2,6,5,7,4,8]
[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]
[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8]
[2,1,3,7,6,5,4,8]=>[2,1,3,5,6,7,4,8]
[2,1,3,6,7,5,4,8]=>[2,1,3,5,7,6,4,8]
[2,1,3,6,5,7,4,8]=>[2,1,3,7,6,5,4,8]
[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8]
[1,2,3,6,7,5,4,8]=>[1,2,3,5,7,6,4,8]
[1,2,3,5,7,6,4,8]=>[1,2,3,6,5,7,4,8]
[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]
[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]
[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]
[4,3,2,1,6,7,5,8]=>[2,3,4,1,7,6,5,8]
[3,2,4,1,7,6,5,8]=>[4,3,2,1,6,7,5,8]
[3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]
[2,3,4,1,7,6,5,8]=>[4,2,3,1,6,7,5,8]
[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]
[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]
[1,4,3,2,6,7,5,8]=>[1,3,4,2,7,6,5,8]
[1,3,4,2,7,6,5,8]=>[1,4,3,2,6,7,5,8]
[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]
[2,1,4,3,7,6,5,8]=>[2,1,4,3,6,7,5,8]
[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8]
[1,2,4,3,7,6,5,8]=>[1,2,4,3,6,7,5,8]
[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]
[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]
[3,2,1,4,6,7,5,8]=>[2,3,1,4,7,6,5,8]
[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]
[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8]
[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]
[2,1,3,4,6,7,5,8]=>[2,1,3,4,7,6,5,8]
[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]
[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[5,4,3,2,1,7,6,8]=>[2,3,4,5,1,7,6,8]
[4,5,3,2,1,7,6,8]=>[2,3,5,4,1,7,6,8]
[3,5,4,2,1,7,6,8]=>[2,4,3,5,1,7,6,8]
[4,3,5,2,1,7,6,8]=>[2,5,4,3,1,7,6,8]
[3,4,5,2,1,7,6,8]=>[2,5,3,4,1,7,6,8]
[2,5,4,3,1,7,6,8]=>[3,2,4,5,1,7,6,8]
[2,4,5,3,1,7,6,8]=>[3,2,5,4,1,7,6,8]
[3,2,5,4,1,7,6,8]=>[4,3,2,5,1,7,6,8]
[2,3,5,4,1,7,6,8]=>[4,2,3,5,1,7,6,8]
[4,3,2,5,1,7,6,8]=>[5,3,4,2,1,7,6,8]
[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8]
[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8]
[3,2,4,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]
[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]
[1,5,4,3,2,7,6,8]=>[1,3,4,5,2,7,6,8]
[1,4,5,3,2,7,6,8]=>[1,3,5,4,2,7,6,8]
[1,3,5,4,2,7,6,8]=>[1,4,3,5,2,7,6,8]
[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8]
[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]
[2,1,5,4,3,7,6,8]=>[2,1,4,5,3,7,6,8]
[1,2,5,4,3,7,6,8]=>[1,2,4,5,3,7,6,8]
[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]
[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]
[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]
[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]
[3,4,2,1,5,7,6,8]=>[2,4,3,1,5,7,6,8]
[2,4,3,1,5,7,6,8]=>[3,2,4,1,5,7,6,8]
[3,2,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]
[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]
[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]
[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]
[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]
[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]
[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[3,6,5,4,2,1,7,8]=>[2,4,3,5,6,1,7,8]
[3,5,6,4,2,1,7,8]=>[2,4,3,6,5,1,7,8]
[4,3,6,5,2,1,7,8]=>[2,5,4,3,6,1,7,8]
[3,5,4,6,2,1,7,8]=>[2,6,3,5,4,1,7,8]
[2,4,6,5,3,1,7,8]=>[3,2,5,4,6,1,7,8]
[2,5,4,6,3,1,7,8]=>[3,2,6,5,4,1,7,8]
[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8]
[2,3,6,5,4,1,7,8]=>[4,2,3,5,6,1,7,8]
[2,3,5,6,4,1,7,8]=>[4,2,3,6,5,1,7,8]
[4,3,2,6,5,1,7,8]=>[5,3,4,2,6,1,7,8]
[3,4,2,6,5,1,7,8]=>[5,4,3,2,6,1,7,8]
[2,4,3,6,5,1,7,8]=>[5,2,4,3,6,1,7,8]
[2,3,4,6,5,1,7,8]=>[5,2,3,4,6,1,7,8]
[3,5,4,2,6,1,7,8]=>[6,4,3,5,2,1,7,8]
[2,5,4,3,6,1,7,8]=>[6,2,4,5,3,1,7,8]
[3,2,5,4,6,1,7,8]=>[6,3,2,5,4,1,7,8]
[2,3,5,4,6,1,7,8]=>[6,2,3,5,4,1,7,8]
[2,4,3,5,6,1,7,8]=>[6,2,4,3,5,1,7,8]
[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8]
[1,5,6,4,3,2,7,8]=>[1,3,4,6,5,2,7,8]
[1,4,6,5,3,2,7,8]=>[1,3,5,4,6,2,7,8]
[1,5,4,6,3,2,7,8]=>[1,3,6,5,4,2,7,8]
[1,4,5,6,3,2,7,8]=>[1,3,6,4,5,2,7,8]
[1,3,6,5,4,2,7,8]=>[1,4,3,5,6,2,7,8]
[1,3,5,6,4,2,7,8]=>[1,4,3,6,5,2,7,8]
[1,4,3,6,5,2,7,8]=>[1,5,4,3,6,2,7,8]
[1,3,4,6,5,2,7,8]=>[1,5,3,4,6,2,7,8]
[1,5,4,3,6,2,7,8]=>[1,6,4,5,3,2,7,8]
[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8]
[1,3,5,4,6,2,7,8]=>[1,6,3,5,4,2,7,8]
[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8]
[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]
[2,1,5,6,4,3,7,8]=>[2,1,4,6,5,3,7,8]
[2,1,4,6,5,3,7,8]=>[2,1,5,4,6,3,7,8]
[2,1,5,4,6,3,7,8]=>[2,1,6,5,4,3,7,8]
[2,1,4,5,6,3,7,8]=>[2,1,6,4,5,3,7,8]
[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]
[1,2,5,6,4,3,7,8]=>[1,2,4,6,5,3,7,8]
[1,2,4,6,5,3,7,8]=>[1,2,5,4,6,3,7,8]
[1,2,5,4,6,3,7,8]=>[1,2,6,5,4,3,7,8]
[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]
[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]
[3,2,1,5,6,4,7,8]=>[2,3,1,6,5,4,7,8]
[2,3,1,6,5,4,7,8]=>[3,2,1,5,6,4,7,8]
[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]
[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]
[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]
[2,1,3,6,5,4,7,8]=>[2,1,3,5,6,4,7,8]
[2,1,3,5,6,4,7,8]=>[2,1,3,6,5,4,7,8]
[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]
[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]
[3,4,2,1,6,5,7,8]=>[2,4,3,1,6,5,7,8]
[2,4,3,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]
[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]
[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]
[1,4,3,2,6,5,7,8]=>[1,3,4,2,6,5,7,8]
[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]
[3,2,1,4,6,5,7,8]=>[2,3,1,4,6,5,7,8]
[2,3,1,4,6,5,7,8]=>[3,2,1,4,6,5,7,8]
[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]
[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]
[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8]
[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8]
[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8]
[3,2,5,4,1,6,7,8]=>[4,3,2,5,1,6,7,8]
[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8]
[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8]
[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8]
[1,4,5,3,2,6,7,8]=>[1,3,5,4,2,6,7,8]
[1,3,5,4,2,6,7,8]=>[1,4,3,5,2,6,7,8]
[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8]
[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]
[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]
[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]
[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]
[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]
[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]
[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]
[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]
[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]
[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]
[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,7,8,6,5]
[1,2,3,5,8,6,7,4]=>[1,2,3,7,5,8,6,4]
[1,2,3,7,5,6,4,8]=>[1,2,3,6,7,5,4,8]
[1,2,3,7,5,6,8,4]=>[1,2,3,8,7,5,6,4]
[1,2,3,8,5,6,7,4]=>[1,2,3,7,8,5,6,4]
[1,2,3,8,5,7,6,4]=>[1,2,3,6,7,8,4,5]
[1,2,3,8,6,5,7,4]=>[1,2,3,7,6,8,5,4]
[1,2,3,8,6,7,5,4]=>[1,2,3,5,7,8,6,4]
[1,2,4,3,8,6,7,5]=>[1,2,4,3,7,8,6,5]
[1,2,4,5,8,6,7,3]=>[1,2,7,4,5,8,6,3]
[1,2,4,7,5,6,3,8]=>[1,2,6,4,7,5,3,8]
[1,2,4,7,5,6,8,3]=>[1,2,8,4,7,5,6,3]
[1,2,4,8,5,6,7,3]=>[1,2,7,4,8,5,6,3]
[1,2,4,8,5,7,6,3]=>[1,2,6,4,7,8,3,5]
[1,2,4,8,6,5,7,3]=>[1,2,7,4,6,8,5,3]
[1,2,4,8,6,7,5,3]=>[1,2,5,4,7,8,6,3]
[1,2,5,4,8,6,7,3]=>[1,2,7,5,4,8,6,3]
[1,2,6,4,5,3,7,8]=>[1,2,5,6,4,3,7,8]
[1,2,6,4,5,7,8,3]=>[1,2,8,6,4,5,7,3]
[1,2,6,4,5,8,7,3]=>[1,2,7,6,4,5,8,3]
[1,2,7,4,5,6,3,8]=>[1,2,6,7,4,5,3,8]
[1,2,7,4,5,6,8,3]=>[1,2,8,7,4,5,6,3]
[1,2,8,4,5,6,7,3]=>[1,2,7,8,4,5,6,3]
[1,2,8,4,5,7,6,3]=>[1,2,6,7,3,8,5,4]
[1,2,7,4,6,5,3,8]=>[1,2,5,6,7,3,4,8]
[1,2,7,4,6,5,8,3]=>[1,2,8,7,6,4,5,3]
[1,2,8,4,6,7,5,3]=>[1,2,5,7,8,3,6,4]
[1,2,8,4,7,6,5,3]=>[1,2,5,6,7,8,4,3]
[1,2,7,5,4,6,3,8]=>[1,2,6,5,7,4,3,8]
[1,2,7,5,4,6,8,3]=>[1,2,8,5,7,4,6,3]
[1,2,8,5,4,6,7,3]=>[1,2,7,5,8,4,6,3]
[1,2,8,5,4,7,6,3]=>[1,2,6,5,7,8,3,4]
[1,2,7,5,6,4,3,8]=>[1,2,4,6,7,5,3,8]
[1,2,7,5,6,4,8,3]=>[1,2,8,6,7,5,4,3]
[1,2,8,5,6,4,7,3]=>[1,2,7,6,8,5,4,3]
[1,2,8,5,6,7,4,3]=>[1,2,4,7,8,5,6,3]
[1,2,8,5,7,6,4,3]=>[1,2,4,6,7,8,3,5]
[1,2,8,6,5,4,7,3]=>[1,2,7,5,6,8,4,3]
[1,2,8,6,5,7,4,3]=>[1,2,4,7,6,8,5,3]
[1,2,8,7,5,6,4,3]=>[1,2,4,6,7,5,8,3]
[1,3,2,4,8,6,7,5]=>[1,3,2,4,7,8,6,5]
[1,3,2,5,8,6,7,4]=>[1,3,2,7,5,8,6,4]
[1,3,2,7,5,6,4,8]=>[1,3,2,6,7,5,4,8]
[1,3,2,7,5,6,8,4]=>[1,3,2,8,7,5,6,4]
[1,3,2,8,5,6,7,4]=>[1,3,2,7,8,5,6,4]
[1,3,2,8,5,7,6,4]=>[1,3,2,6,7,8,4,5]
[1,3,2,8,6,5,7,4]=>[1,3,2,7,6,8,5,4]
[1,3,2,8,6,7,5,4]=>[1,3,2,5,7,8,6,4]
[1,3,4,2,8,6,7,5]=>[1,4,3,2,7,8,6,5]
[1,3,4,5,8,6,7,2]=>[1,7,3,4,5,8,6,2]
[1,3,4,7,5,6,8,2]=>[1,8,3,4,7,5,6,2]
[1,3,4,8,5,6,7,2]=>[1,7,3,4,8,5,6,2]
[1,3,4,8,6,5,7,2]=>[1,7,3,4,6,8,5,2]
[1,3,4,8,6,7,5,2]=>[1,5,3,4,7,8,6,2]
[1,3,6,4,5,2,8,7]=>[1,5,3,6,4,2,8,7]
[1,3,6,4,5,7,2,8]=>[1,7,3,6,4,5,2,8]
[1,3,6,4,5,7,8,2]=>[1,8,3,6,4,5,7,2]
[1,3,6,4,5,8,7,2]=>[1,7,3,6,4,5,8,2]
[1,3,7,4,5,6,2,8]=>[1,6,3,7,4,5,2,8]
[1,3,7,4,5,6,8,2]=>[1,8,3,7,4,5,6,2]
[1,3,8,4,5,6,7,2]=>[1,7,3,8,4,5,6,2]
[1,3,7,4,6,5,2,8]=>[1,5,3,6,7,2,4,8]
[1,3,8,4,6,5,7,2]=>[1,7,3,8,6,4,5,2]
[1,3,8,4,6,7,5,2]=>[1,5,3,7,8,2,6,4]
[1,3,8,4,7,6,5,2]=>[1,5,3,6,7,8,4,2]
[1,3,7,5,4,6,8,2]=>[1,8,3,5,7,4,6,2]
[1,3,8,5,4,6,7,2]=>[1,7,3,5,8,4,6,2]
[1,3,8,5,4,7,6,2]=>[1,6,3,5,7,8,2,4]
[1,3,7,5,6,4,2,8]=>[1,4,3,6,7,5,2,8]
[1,3,8,5,6,4,7,2]=>[1,7,3,6,8,5,4,2]
[1,3,8,5,6,7,4,2]=>[1,4,3,7,8,5,6,2]
[1,3,8,5,7,6,4,2]=>[1,4,3,6,7,8,2,5]
[1,3,8,6,5,7,4,2]=>[1,4,3,7,6,8,5,2]
[1,3,8,7,5,6,4,2]=>[1,4,3,6,7,5,8,2]
[1,4,3,2,8,6,7,5]=>[1,3,4,2,7,8,6,5]
[1,4,3,5,8,6,7,2]=>[1,7,4,3,5,8,6,2]
[1,4,3,7,5,6,2,8]=>[1,6,4,3,7,5,2,8]
[1,4,3,8,5,6,7,2]=>[1,7,4,3,8,5,6,2]
[1,4,3,8,5,7,6,2]=>[1,6,4,3,7,8,2,5]
[1,4,3,8,6,5,7,2]=>[1,7,4,3,6,8,5,2]
[1,4,3,8,6,7,5,2]=>[1,5,4,3,7,8,6,2]
[1,5,3,4,2,6,7,8]=>[1,4,5,3,2,6,7,8]
[1,5,3,4,2,7,6,8]=>[1,4,5,3,2,7,6,8]
[1,5,3,4,2,7,8,6]=>[1,4,5,3,2,8,7,6]
[1,5,3,4,2,8,7,6]=>[1,4,5,3,2,7,8,6]
[1,5,3,4,6,2,7,8]=>[1,6,5,3,4,2,7,8]
[1,5,3,4,6,2,8,7]=>[1,6,5,3,4,2,8,7]
[1,5,3,4,6,7,2,8]=>[1,7,5,3,4,6,2,8]
[1,5,3,4,6,7,8,2]=>[1,8,5,3,4,6,7,2]
[1,5,3,4,7,6,2,8]=>[1,6,5,3,4,7,2,8]
[1,5,3,4,7,6,8,2]=>[1,8,5,3,4,7,6,2]
[1,5,3,4,8,6,7,2]=>[1,7,5,3,4,8,6,2]
[1,5,3,4,8,7,6,2]=>[1,6,5,3,4,7,8,2]
[1,6,3,4,5,2,7,8]=>[1,5,6,3,4,2,7,8]
[1,6,3,4,5,7,2,8]=>[1,7,6,3,4,5,2,8]
[1,6,3,4,5,7,8,2]=>[1,8,6,3,4,5,7,2]
[1,6,3,4,5,8,7,2]=>[1,7,6,3,4,5,8,2]
[1,7,3,4,5,6,2,8]=>[1,6,7,3,4,5,2,8]
[1,7,3,4,5,6,8,2]=>[1,8,7,3,4,5,6,2]
[1,8,3,4,5,6,7,2]=>[1,7,8,3,4,5,6,2]
[1,8,3,4,5,7,6,2]=>[1,6,7,2,4,8,5,3]
[1,7,3,4,6,5,2,8]=>[1,5,6,2,7,4,3,8]
[1,7,3,4,6,5,8,2]=>[1,8,7,3,6,4,5,2]
[1,8,3,4,6,5,7,2]=>[1,7,8,3,6,4,5,2]
[1,8,3,4,6,7,5,2]=>[1,5,7,2,8,4,6,3]
[1,8,3,4,7,6,5,2]=>[1,5,6,3,7,8,4,2]
[1,6,3,5,4,2,7,8]=>[1,4,5,6,2,3,7,8]
[1,6,3,5,4,7,2,8]=>[1,7,6,5,3,4,2,8]
[1,6,3,5,4,7,8,2]=>[1,8,6,5,3,4,7,2]
[1,6,3,5,4,8,7,2]=>[1,7,6,5,3,4,8,2]
[1,7,3,5,4,6,2,8]=>[1,6,7,5,3,4,2,8]
[1,8,3,5,4,6,7,2]=>[1,7,8,5,3,4,6,2]
[1,8,3,5,4,7,6,2]=>[1,6,7,5,2,8,4,3]
[1,7,3,5,6,4,8,2]=>[1,8,7,6,3,5,4,2]
[1,8,3,5,6,4,7,2]=>[1,7,8,6,3,5,4,2]
[1,8,3,5,6,7,4,2]=>[1,4,7,8,2,5,6,3]
[1,8,3,5,7,6,4,2]=>[1,4,6,7,3,8,5,2]
[1,7,3,6,5,4,2,8]=>[1,4,5,6,7,3,2,8]
[1,7,3,6,5,4,8,2]=>[1,8,7,5,6,3,4,2]
[1,8,3,6,5,4,7,2]=>[1,7,8,5,6,3,4,2]
[1,8,3,6,5,7,4,2]=>[1,4,7,8,6,2,5,3]
[1,8,3,7,5,6,4,2]=>[1,4,6,8,7,5,2,3]
[1,8,3,7,6,5,4,2]=>[1,4,5,6,7,8,2,3]
[1,6,4,3,5,2,7,8]=>[1,5,4,6,3,2,7,8]
[1,6,4,3,5,8,7,2]=>[1,7,4,6,3,5,8,2]
[1,8,4,3,5,6,7,2]=>[1,7,4,8,3,5,6,2]
[1,8,4,3,5,7,6,2]=>[1,6,4,7,2,8,5,3]
[1,7,4,3,6,5,2,8]=>[1,5,4,6,7,2,3,8]
[1,7,4,3,6,5,8,2]=>[1,8,4,7,6,3,5,2]
[1,8,4,3,6,5,7,2]=>[1,7,4,8,6,3,5,2]
[1,8,4,3,6,7,5,2]=>[1,5,4,7,8,2,6,3]
[1,8,4,3,7,6,5,2]=>[1,5,4,6,7,8,3,2]
[1,6,4,5,3,2,7,8]=>[1,3,5,6,4,2,7,8]
[1,6,4,5,3,2,8,7]=>[1,3,5,6,4,2,8,7]
[1,6,4,5,3,8,7,2]=>[1,7,5,6,4,3,8,2]
[1,7,4,5,3,6,8,2]=>[1,8,5,7,4,3,6,2]
[1,8,4,5,3,6,7,2]=>[1,7,5,8,4,3,6,2]
[1,8,4,5,3,7,6,2]=>[1,6,5,7,2,8,3,4]
[1,7,4,5,6,3,2,8]=>[1,3,6,7,4,5,2,8]
[1,7,4,5,6,3,8,2]=>[1,8,6,7,4,5,3,2]
[1,8,4,5,6,3,7,2]=>[1,7,6,8,4,5,3,2]
[1,8,4,5,6,7,3,2]=>[1,3,7,8,4,5,6,2]
[1,8,4,5,7,6,3,2]=>[1,3,6,7,2,8,5,4]
[1,7,4,6,5,3,2,8]=>[1,3,5,6,7,2,4,8]
[1,7,4,6,5,3,8,2]=>[1,8,5,6,7,3,4,2]
[1,8,4,6,5,3,7,2]=>[1,7,5,6,8,3,4,2]
[1,8,4,6,5,7,3,2]=>[1,3,7,8,6,4,5,2]
[1,8,4,7,5,6,3,2]=>[1,3,6,8,7,5,4,2]
[1,8,4,7,6,5,3,2]=>[1,3,5,6,7,8,4,2]
[1,7,5,4,3,6,2,8]=>[1,6,4,5,7,3,2,8]
[1,7,5,4,3,6,8,2]=>[1,8,4,5,7,3,6,2]
[1,8,5,4,3,6,7,2]=>[1,7,4,5,8,3,6,2]
[1,8,5,4,3,7,6,2]=>[1,6,4,5,7,8,2,3]
[1,7,5,4,6,3,8,2]=>[1,8,6,5,7,4,3,2]
[1,8,5,4,6,3,7,2]=>[1,7,6,5,8,4,3,2]
[1,8,5,4,6,7,3,2]=>[1,3,7,5,8,4,6,2]
[1,8,5,4,7,6,3,2]=>[1,3,6,5,7,8,2,4]
[1,7,6,4,5,3,2,8]=>[1,3,5,6,4,7,2,8]
[1,7,6,4,5,3,8,2]=>[1,8,5,6,4,7,3,2]
[1,8,6,4,5,3,7,2]=>[1,7,5,6,4,8,3,2]
[1,8,6,4,5,7,3,2]=>[1,3,7,6,4,8,5,2]
[1,8,7,4,5,6,3,2]=>[1,3,6,7,4,5,8,2]
[1,8,7,4,6,5,3,2]=>[1,3,5,6,7,2,8,4]
[1,8,6,5,4,3,7,2]=>[1,7,4,5,6,8,3,2]
[1,8,6,5,4,7,3,2]=>[1,3,7,5,6,8,4,2]
[1,8,7,5,4,6,3,2]=>[1,3,6,5,7,4,8,2]
[1,8,7,5,6,4,3,2]=>[1,3,4,6,7,5,8,2]
[2,1,3,4,8,6,7,5]=>[2,1,3,4,7,8,6,5]
[2,1,3,5,8,6,7,4]=>[2,1,3,7,5,8,6,4]
[2,1,3,7,5,6,8,4]=>[2,1,3,8,7,5,6,4]
[2,1,3,8,5,6,7,4]=>[2,1,3,7,8,5,6,4]
[2,1,3,8,5,7,6,4]=>[2,1,3,6,7,8,4,5]
[2,1,3,8,6,5,7,4]=>[2,1,3,7,6,8,5,4]
[2,1,3,8,6,7,5,4]=>[2,1,3,5,7,8,6,4]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,7,8,6,5]
[2,1,4,5,8,6,7,3]=>[2,1,7,4,5,8,6,3]
[2,1,4,7,5,6,8,3]=>[2,1,8,4,7,5,6,3]
[2,1,4,8,5,6,7,3]=>[2,1,7,4,8,5,6,3]
[2,1,4,8,5,7,6,3]=>[2,1,6,4,7,8,3,5]
[2,1,4,8,6,5,7,3]=>[2,1,7,4,6,8,5,3]
[2,1,4,8,6,7,5,3]=>[2,1,5,4,7,8,6,3]
[2,1,5,4,8,6,7,3]=>[2,1,7,5,4,8,6,3]
[2,1,6,4,5,3,7,8]=>[2,1,5,6,4,3,7,8]
[2,1,6,4,5,3,8,7]=>[2,1,5,6,4,3,8,7]
[2,1,6,4,5,7,3,8]=>[2,1,7,6,4,5,3,8]
[2,1,6,4,5,7,8,3]=>[2,1,8,6,4,5,7,3]
[2,1,6,4,5,8,7,3]=>[2,1,7,6,4,5,8,3]
[2,1,7,4,5,6,3,8]=>[2,1,6,7,4,5,3,8]
[2,1,7,4,5,6,8,3]=>[2,1,8,7,4,5,6,3]
[2,1,8,4,5,6,7,3]=>[2,1,7,8,4,5,6,3]
[2,1,8,4,5,7,6,3]=>[2,1,6,7,3,8,5,4]
[2,1,7,4,6,5,8,3]=>[2,1,8,7,6,4,5,3]
[2,1,8,4,6,5,7,3]=>[2,1,7,8,6,4,5,3]
[2,1,8,4,6,7,5,3]=>[2,1,5,7,8,3,6,4]
[2,1,8,4,7,6,5,3]=>[2,1,5,6,7,8,4,3]
[2,1,7,5,4,6,8,3]=>[2,1,8,5,7,4,6,3]
[2,1,8,5,4,6,7,3]=>[2,1,7,5,8,4,6,3]
[2,1,8,5,4,7,6,3]=>[2,1,6,5,7,8,3,4]
[2,1,7,5,6,4,3,8]=>[2,1,4,6,7,5,3,8]
[2,1,7,5,6,4,8,3]=>[2,1,8,6,7,5,4,3]
[2,1,8,5,6,4,7,3]=>[2,1,7,6,8,5,4,3]
[2,1,8,5,6,7,4,3]=>[2,1,4,7,8,5,6,3]
[2,1,8,5,7,6,4,3]=>[2,1,4,6,7,8,3,5]
[2,1,8,6,5,4,7,3]=>[2,1,7,5,6,8,4,3]
[2,1,8,6,5,7,4,3]=>[2,1,4,7,6,8,5,3]
[2,1,8,7,5,6,4,3]=>[2,1,4,6,7,5,8,3]
[2,3,1,4,8,6,7,5]=>[3,2,1,4,7,8,6,5]
[2,3,1,5,8,6,7,4]=>[3,2,1,7,5,8,6,4]
[2,3,1,7,5,6,4,8]=>[3,2,1,6,7,5,4,8]
[2,3,1,7,5,6,8,4]=>[3,2,1,8,7,5,6,4]
[2,3,1,8,5,6,7,4]=>[3,2,1,7,8,5,6,4]
[2,3,1,8,5,7,6,4]=>[3,2,1,6,7,8,4,5]
[2,3,1,8,6,5,7,4]=>[3,2,1,7,6,8,5,4]
[2,3,1,8,6,7,5,4]=>[3,2,1,5,7,8,6,4]
[2,3,4,1,8,6,7,5]=>[4,2,3,1,7,8,6,5]
[2,3,4,5,8,6,7,1]=>[7,2,3,4,5,8,6,1]
[2,3,4,7,5,6,1,8]=>[6,2,3,4,7,5,1,8]
[2,3,4,7,5,6,8,1]=>[8,2,3,4,7,5,6,1]
[2,3,4,8,5,6,7,1]=>[7,2,3,4,8,5,6,1]
[2,3,4,8,5,7,6,1]=>[6,2,3,4,7,8,1,5]
[2,3,4,8,6,5,7,1]=>[7,2,3,4,6,8,5,1]
[2,3,4,8,6,7,5,1]=>[5,2,3,4,7,8,6,1]
[2,3,5,4,8,6,7,1]=>[7,2,3,5,4,8,6,1]
[2,3,6,4,5,1,7,8]=>[5,2,3,6,4,1,7,8]
[2,3,6,4,5,1,8,7]=>[5,2,3,6,4,1,8,7]
[2,3,6,4,5,7,8,1]=>[8,2,3,6,4,5,7,1]
[2,3,6,4,5,8,7,1]=>[7,2,3,6,4,5,8,1]
[2,3,7,4,5,6,1,8]=>[6,2,3,7,4,5,1,8]
[2,3,7,4,5,6,8,1]=>[8,2,3,7,4,5,6,1]
[2,3,8,4,5,6,7,1]=>[7,2,3,8,4,5,6,1]
[2,3,8,4,5,7,6,1]=>[6,2,3,7,1,8,5,4]
[2,3,7,4,6,5,1,8]=>[5,2,3,6,7,1,4,8]
[2,3,7,4,6,5,8,1]=>[8,2,3,7,6,4,5,1]
[2,3,8,4,6,5,7,1]=>[7,2,3,8,6,4,5,1]
[2,3,8,4,6,7,5,1]=>[5,2,3,7,8,1,6,4]
[2,3,8,4,7,6,5,1]=>[5,2,3,6,7,8,4,1]
[2,3,7,5,4,6,1,8]=>[6,2,3,5,7,4,1,8]
[2,3,7,5,4,6,8,1]=>[8,2,3,5,7,4,6,1]
[2,3,8,5,4,6,7,1]=>[7,2,3,5,8,4,6,1]
[2,3,8,5,4,7,6,1]=>[6,2,3,5,7,8,1,4]
[2,3,7,5,6,4,1,8]=>[4,2,3,6,7,5,1,8]
[2,3,7,5,6,4,8,1]=>[8,2,3,6,7,5,4,1]
[2,3,8,5,6,4,7,1]=>[7,2,3,6,8,5,4,1]
[2,3,8,5,6,7,4,1]=>[4,2,3,7,8,5,6,1]
[2,3,8,5,7,6,4,1]=>[4,2,3,6,7,8,1,5]
[2,3,8,6,5,4,7,1]=>[7,2,3,5,6,8,4,1]
[2,3,8,6,5,7,4,1]=>[4,2,3,7,6,8,5,1]
[2,3,8,7,5,6,4,1]=>[4,2,3,6,7,5,8,1]
[2,4,3,1,8,6,7,5]=>[3,2,4,1,7,8,6,5]
[2,4,3,5,8,6,7,1]=>[7,2,4,3,5,8,6,1]
[2,4,3,7,5,6,1,8]=>[6,2,4,3,7,5,1,8]
[2,4,3,7,5,6,8,1]=>[8,2,4,3,7,5,6,1]
[2,4,3,8,5,6,7,1]=>[7,2,4,3,8,5,6,1]
[2,4,3,8,5,7,6,1]=>[6,2,4,3,7,8,1,5]
[2,4,3,8,6,5,7,1]=>[7,2,4,3,6,8,5,1]
[2,4,3,8,6,7,5,1]=>[5,2,4,3,7,8,6,1]
[2,5,3,4,1,6,7,8]=>[4,2,5,3,1,6,7,8]
[2,5,3,4,1,7,6,8]=>[4,2,5,3,1,7,6,8]
[2,5,3,4,1,7,8,6]=>[4,2,5,3,1,8,7,6]
[2,5,3,4,1,8,7,6]=>[4,2,5,3,1,7,8,6]
[2,5,3,4,6,1,8,7]=>[6,2,5,3,4,1,8,7]
[2,5,3,4,6,7,1,8]=>[7,2,5,3,4,6,1,8]
[2,5,3,4,6,7,8,1]=>[8,2,5,3,4,6,7,1]
[2,5,3,4,6,8,7,1]=>[7,2,5,3,4,6,8,1]
[2,5,3,4,7,6,1,8]=>[6,2,5,3,4,7,1,8]
[2,5,3,4,7,6,8,1]=>[8,2,5,3,4,7,6,1]
[2,5,3,4,8,6,7,1]=>[7,2,5,3,4,8,6,1]
[2,5,3,4,8,7,6,1]=>[6,2,5,3,4,7,8,1]
[2,6,3,4,5,1,7,8]=>[5,2,6,3,4,1,7,8]
[2,6,3,4,5,1,8,7]=>[5,2,6,3,4,1,8,7]
[2,6,3,4,5,7,8,1]=>[8,2,6,3,4,5,7,1]
[2,6,3,4,5,8,7,1]=>[7,2,6,3,4,5,8,1]
[2,7,3,4,5,6,1,8]=>[6,2,7,3,4,5,1,8]
[2,7,3,4,5,6,8,1]=>[8,2,7,3,4,5,6,1]
[2,8,3,4,5,6,7,1]=>[7,2,8,3,4,5,6,1]
[2,8,3,4,5,7,6,1]=>[6,2,7,1,4,8,5,3]
[2,8,3,4,6,7,5,1]=>[5,2,7,1,8,4,6,3]
[2,6,3,5,4,1,7,8]=>[4,2,5,6,1,3,7,8]
[2,6,3,5,4,1,8,7]=>[4,2,5,6,1,3,8,7]
[2,6,3,5,4,7,8,1]=>[8,2,6,5,3,4,7,1]
[2,6,3,5,4,8,7,1]=>[7,2,6,5,3,4,8,1]
[2,7,3,5,4,6,1,8]=>[6,2,7,5,3,4,1,8]
[2,7,3,5,4,6,8,1]=>[8,2,7,5,3,4,6,1]
[2,8,3,5,4,6,7,1]=>[7,2,8,5,3,4,6,1]
[2,8,3,5,4,7,6,1]=>[6,2,7,5,1,8,4,3]
[2,7,3,5,6,4,1,8]=>[4,2,6,7,1,5,3,8]
[2,7,3,5,6,4,8,1]=>[8,2,7,6,3,5,4,1]
[2,8,3,5,6,7,4,1]=>[4,2,7,8,1,5,6,3]
[2,8,3,5,7,6,4,1]=>[4,2,6,7,3,8,5,1]
[2,7,3,6,5,4,1,8]=>[4,2,5,6,7,3,1,8]
[2,8,3,6,5,4,7,1]=>[7,2,8,5,6,3,4,1]
[2,8,3,6,5,7,4,1]=>[4,2,7,8,6,1,5,3]
[2,8,3,7,5,6,4,1]=>[4,2,6,8,7,5,1,3]
[2,8,3,7,6,5,4,1]=>[4,2,5,6,7,8,1,3]
[2,5,4,3,8,6,7,1]=>[7,2,4,5,3,8,6,1]
[2,6,4,3,5,1,7,8]=>[5,2,4,6,3,1,7,8]
[2,6,4,3,5,1,8,7]=>[5,2,4,6,3,1,8,7]
[2,6,4,3,5,7,8,1]=>[8,2,4,6,3,5,7,1]
[2,6,4,3,5,8,7,1]=>[7,2,4,6,3,5,8,1]
[2,7,4,3,5,6,8,1]=>[8,2,4,7,3,5,6,1]
[2,8,4,3,5,6,7,1]=>[7,2,4,8,3,5,6,1]
[2,8,4,3,5,7,6,1]=>[6,2,4,7,1,8,5,3]
[2,7,4,3,6,5,1,8]=>[5,2,4,6,7,1,3,8]
[2,7,4,3,6,5,8,1]=>[8,2,4,7,6,3,5,1]
[2,8,4,3,6,5,7,1]=>[7,2,4,8,6,3,5,1]
[2,8,4,3,6,7,5,1]=>[5,2,4,7,8,1,6,3]
[2,8,4,3,7,6,5,1]=>[5,2,4,6,7,8,3,1]
[2,6,4,5,3,1,7,8]=>[3,2,5,6,4,1,7,8]
[2,6,4,5,3,1,8,7]=>[3,2,5,6,4,1,8,7]
[2,6,4,5,3,7,8,1]=>[8,2,5,6,4,3,7,1]
[2,6,4,5,3,8,7,1]=>[7,2,5,6,4,3,8,1]
[2,7,4,5,3,6,1,8]=>[6,2,5,7,4,3,1,8]
[2,8,4,5,3,6,7,1]=>[7,2,5,8,4,3,6,1]
[2,7,4,5,6,3,1,8]=>[3,2,6,7,4,5,1,8]
[2,7,4,5,6,3,8,1]=>[8,2,6,7,4,5,3,1]
[2,8,4,5,6,3,7,1]=>[7,2,6,8,4,5,3,1]
[2,8,4,5,6,7,3,1]=>[3,2,7,8,4,5,6,1]
[2,7,4,6,5,3,1,8]=>[3,2,5,6,7,1,4,8]
[2,7,4,6,5,3,8,1]=>[8,2,5,6,7,3,4,1]
[2,8,4,6,5,3,7,1]=>[7,2,5,6,8,3,4,1]
[2,8,4,6,5,7,3,1]=>[3,2,7,8,6,4,5,1]
[2,8,4,7,5,6,3,1]=>[3,2,6,8,7,5,4,1]
[2,8,4,7,6,5,3,1]=>[3,2,5,6,7,8,4,1]
[2,7,5,4,3,6,1,8]=>[6,2,4,5,7,3,1,8]
[2,7,5,4,3,6,8,1]=>[8,2,4,5,7,3,6,1]
[2,8,5,4,3,6,7,1]=>[7,2,4,5,8,3,6,1]
[2,8,5,4,3,7,6,1]=>[6,2,4,5,7,8,1,3]
[2,7,5,4,6,3,8,1]=>[8,2,6,5,7,4,3,1]
[2,8,5,4,6,3,7,1]=>[7,2,6,5,8,4,3,1]
[2,8,5,4,6,7,3,1]=>[3,2,7,5,8,4,6,1]
[2,8,5,4,7,6,3,1]=>[3,2,6,5,7,8,1,4]
[2,7,6,4,5,3,8,1]=>[8,2,5,6,4,7,3,1]
[2,8,6,4,5,3,7,1]=>[7,2,5,6,4,8,3,1]
[2,8,6,4,5,7,3,1]=>[3,2,7,6,4,8,5,1]
[2,8,7,4,5,6,3,1]=>[3,2,6,7,4,5,8,1]
[2,8,7,4,6,5,3,1]=>[3,2,5,6,7,1,8,4]
[2,8,6,5,4,3,7,1]=>[7,2,4,5,6,8,3,1]
[2,8,6,5,4,7,3,1]=>[3,2,7,5,6,8,4,1]
[2,8,7,5,4,6,3,1]=>[3,2,6,5,7,4,8,1]
[2,8,7,5,6,4,3,1]=>[3,2,4,6,7,5,8,1]
[3,2,1,4,8,6,7,5]=>[2,3,1,4,7,8,6,5]
[3,2,1,5,8,6,7,4]=>[2,3,1,7,5,8,6,4]
[3,2,1,7,5,6,4,8]=>[2,3,1,6,7,5,4,8]
[3,2,1,7,5,6,8,4]=>[2,3,1,8,7,5,6,4]
[3,2,1,8,5,6,7,4]=>[2,3,1,7,8,5,6,4]
[3,2,1,8,5,7,6,4]=>[2,3,1,6,7,8,4,5]
[3,2,1,8,6,5,7,4]=>[2,3,1,7,6,8,5,4]
[3,2,1,8,6,7,5,4]=>[2,3,1,5,7,8,6,4]
[3,2,4,1,8,6,7,5]=>[4,3,2,1,7,8,6,5]
[3,2,4,5,8,6,7,1]=>[7,3,2,4,5,8,6,1]
[3,2,4,7,5,6,1,8]=>[6,3,2,4,7,5,1,8]
[3,2,4,7,5,6,8,1]=>[8,3,2,4,7,5,6,1]
[3,2,4,8,5,6,7,1]=>[7,3,2,4,8,5,6,1]
[3,2,4,8,5,7,6,1]=>[6,3,2,4,7,8,1,5]
[3,2,4,8,6,5,7,1]=>[7,3,2,4,6,8,5,1]
[3,2,4,8,6,7,5,1]=>[5,3,2,4,7,8,6,1]
[3,2,5,4,8,6,7,1]=>[7,3,2,5,4,8,6,1]
[3,2,6,4,5,1,7,8]=>[5,3,2,6,4,1,7,8]
[3,2,6,4,5,1,8,7]=>[5,3,2,6,4,1,8,7]
[3,2,6,4,5,7,1,8]=>[7,3,2,6,4,5,1,8]
[3,2,7,4,5,6,1,8]=>[6,3,2,7,4,5,1,8]
[3,2,8,4,5,6,7,1]=>[7,3,2,8,4,5,6,1]
[3,2,7,4,6,5,1,8]=>[5,3,2,6,7,1,4,8]
[3,2,7,4,6,5,8,1]=>[8,3,2,7,6,4,5,1]
[3,2,8,4,6,5,7,1]=>[7,3,2,8,6,4,5,1]
[3,2,7,5,4,6,1,8]=>[6,3,2,5,7,4,1,8]
[3,2,8,5,4,6,7,1]=>[7,3,2,5,8,4,6,1]
[3,2,8,5,4,7,6,1]=>[6,3,2,5,7,8,1,4]
[3,2,7,5,6,4,1,8]=>[4,3,2,6,7,5,1,8]
[3,2,7,5,6,4,8,1]=>[8,3,2,6,7,5,4,1]
[3,2,8,5,6,4,7,1]=>[7,3,2,6,8,5,4,1]
[3,2,8,5,6,7,4,1]=>[4,3,2,7,8,5,6,1]
[3,2,8,5,7,6,4,1]=>[4,3,2,6,7,8,1,5]
[3,2,8,6,5,4,7,1]=>[7,3,2,5,6,8,4,1]
[3,2,8,6,5,7,4,1]=>[4,3,2,7,6,8,5,1]
[3,2,8,7,5,6,4,1]=>[4,3,2,6,7,5,8,1]
[4,2,3,1,5,6,8,7]=>[3,4,2,1,5,6,8,7]
[4,2,3,1,5,7,6,8]=>[3,4,2,1,5,7,6,8]
[4,2,3,1,5,7,8,6]=>[3,4,2,1,5,8,7,6]
[4,2,3,1,5,8,7,6]=>[3,4,2,1,5,7,8,6]
[4,2,3,1,6,5,7,8]=>[3,4,2,1,6,5,7,8]
[4,2,3,1,6,5,8,7]=>[3,4,2,1,6,5,8,7]
[4,2,3,1,6,7,5,8]=>[3,4,2,1,7,6,5,8]
[4,2,3,1,6,7,8,5]=>[3,4,2,1,8,6,7,5]
[4,2,3,1,6,8,7,5]=>[3,4,2,1,7,6,8,5]
[4,2,3,1,7,6,5,8]=>[3,4,2,1,6,7,5,8]
[4,2,3,1,7,6,8,5]=>[3,4,2,1,8,7,6,5]
[4,2,3,1,8,6,7,5]=>[3,4,2,1,7,8,6,5]
[4,2,3,1,8,7,6,5]=>[3,4,2,1,6,7,8,5]
[4,2,3,5,1,6,8,7]=>[5,4,2,3,1,6,8,7]
[4,2,3,5,1,7,6,8]=>[5,4,2,3,1,7,6,8]
[4,2,3,5,1,7,8,6]=>[5,4,2,3,1,8,7,6]
[4,2,3,5,1,8,7,6]=>[5,4,2,3,1,7,8,6]
[4,2,3,5,6,1,8,7]=>[6,4,2,3,5,1,8,7]
[4,2,3,5,6,8,7,1]=>[7,4,2,3,5,6,8,1]
[4,2,3,5,7,6,1,8]=>[6,4,2,3,5,7,1,8]
[4,2,3,5,7,6,8,1]=>[8,4,2,3,5,7,6,1]
[4,2,3,5,8,7,6,1]=>[6,4,2,3,5,7,8,1]
[4,2,3,6,5,1,7,8]=>[5,4,2,3,6,1,7,8]
[4,2,3,6,5,1,8,7]=>[5,4,2,3,6,1,8,7]
[4,2,3,6,5,8,7,1]=>[7,4,2,3,6,5,8,1]
[4,2,3,7,5,6,1,8]=>[6,4,2,3,7,5,1,8]
[4,2,3,7,5,6,8,1]=>[8,4,2,3,7,5,6,1]
[4,2,3,8,5,6,7,1]=>[7,4,2,3,8,5,6,1]
[4,2,3,8,5,7,6,1]=>[6,4,2,3,7,8,1,5]
[4,2,3,7,6,5,1,8]=>[5,4,2,3,6,7,1,8]
[4,2,3,7,6,5,8,1]=>[8,4,2,3,6,7,5,1]
[4,2,3,8,6,5,7,1]=>[7,4,2,3,6,8,5,1]
[4,2,3,8,6,7,5,1]=>[5,4,2,3,7,8,6,1]
[4,2,3,8,7,6,5,1]=>[5,4,2,3,6,7,8,1]
[5,2,3,4,1,6,8,7]=>[4,5,2,3,1,6,8,7]
[5,2,3,4,1,7,6,8]=>[4,5,2,3,1,7,6,8]
[5,2,3,4,1,7,8,6]=>[4,5,2,3,1,8,7,6]
[5,2,3,4,1,8,7,6]=>[4,5,2,3,1,7,8,6]
[5,2,3,4,6,1,8,7]=>[6,5,2,3,4,1,8,7]
[5,2,3,4,6,8,7,1]=>[7,5,2,3,4,6,8,1]
[5,2,3,4,7,6,1,8]=>[6,5,2,3,4,7,1,8]
[5,2,3,4,7,6,8,1]=>[8,5,2,3,4,7,6,1]
[5,2,3,4,8,6,7,1]=>[7,5,2,3,4,8,6,1]
[5,2,3,4,8,7,6,1]=>[6,5,2,3,4,7,8,1]
[6,2,3,4,5,1,8,7]=>[5,6,2,3,4,1,8,7]
[6,2,3,4,5,8,7,1]=>[7,6,2,3,4,5,8,1]
[8,2,3,4,5,7,6,1]=>[6,7,1,3,4,8,5,2]
[7,2,3,4,6,5,1,8]=>[5,6,1,3,7,4,2,8]
[7,2,3,4,6,5,8,1]=>[8,7,2,3,6,4,5,1]
[8,2,3,4,6,5,7,1]=>[7,8,2,3,6,4,5,1]
[8,2,3,4,6,7,5,1]=>[5,7,1,3,8,4,6,2]
[8,2,3,4,7,6,5,1]=>[5,6,2,3,7,8,4,1]
[6,2,3,5,4,1,7,8]=>[4,5,1,6,3,2,7,8]
[6,2,3,5,4,1,8,7]=>[4,5,1,6,3,2,8,7]
[6,2,3,5,4,7,1,8]=>[7,6,2,5,3,4,1,8]
[6,2,3,5,4,7,8,1]=>[8,6,2,5,3,4,7,1]
[6,2,3,5,4,8,7,1]=>[7,6,2,5,3,4,8,1]
[7,2,3,5,4,6,1,8]=>[6,7,2,5,3,4,1,8]
[8,2,3,5,4,6,7,1]=>[7,8,2,5,3,4,6,1]
[8,2,3,5,4,7,6,1]=>[6,7,1,5,3,8,4,2]
[7,2,3,5,6,4,1,8]=>[4,6,1,7,3,5,2,8]
[7,2,3,5,6,4,8,1]=>[8,7,2,6,3,5,4,1]
[8,2,3,5,6,4,7,1]=>[7,8,2,6,3,5,4,1]
[8,2,3,5,6,7,4,1]=>[4,7,1,8,3,5,6,2]
[8,2,3,5,7,6,4,1]=>[4,6,2,7,3,8,5,1]
[7,2,3,6,5,4,1,8]=>[4,5,2,6,7,3,1,8]
[8,2,3,6,5,4,7,1]=>[7,8,2,5,6,3,4,1]
[8,2,3,6,5,7,4,1]=>[4,7,1,8,6,3,5,2]
[8,2,3,7,5,6,4,1]=>[4,6,1,8,7,5,3,2]
[8,2,3,7,6,5,4,1]=>[4,5,1,6,7,8,3,2]
[5,2,4,3,1,6,7,8]=>[3,4,5,1,2,6,7,8]
[5,2,4,3,1,6,8,7]=>[3,4,5,1,2,6,8,7]
[5,2,4,3,1,7,6,8]=>[3,4,5,1,2,7,6,8]
[5,2,4,3,1,7,8,6]=>[3,4,5,1,2,8,7,6]
[5,2,4,3,1,8,7,6]=>[3,4,5,1,2,7,8,6]
[5,2,4,3,6,1,7,8]=>[6,5,4,2,3,1,7,8]
[5,2,4,3,6,1,8,7]=>[6,5,4,2,3,1,8,7]
[5,2,4,3,6,7,1,8]=>[7,5,4,2,3,6,1,8]
[5,2,4,3,6,7,8,1]=>[8,5,4,2,3,6,7,1]
[5,2,4,3,7,6,1,8]=>[6,5,4,2,3,7,1,8]
[5,2,4,3,7,6,8,1]=>[8,5,4,2,3,7,6,1]
[5,2,4,3,8,7,6,1]=>[6,5,4,2,3,7,8,1]
[6,2,4,3,5,1,8,7]=>[5,6,4,2,3,1,8,7]
[6,2,4,3,5,8,7,1]=>[7,6,4,2,3,5,8,1]
[7,2,4,3,5,6,8,1]=>[8,7,4,2,3,5,6,1]
[8,2,4,3,5,6,7,1]=>[7,8,4,2,3,5,6,1]
[8,2,4,3,5,7,6,1]=>[6,7,4,1,3,8,5,2]
[7,2,4,3,6,5,1,8]=>[5,6,4,1,7,3,2,8]
[7,2,4,3,6,5,8,1]=>[8,7,4,2,6,3,5,1]
[8,2,4,3,6,5,7,1]=>[7,8,4,2,6,3,5,1]
[8,2,4,3,6,7,5,1]=>[5,7,4,1,8,3,6,2]
[8,2,4,3,7,6,5,1]=>[5,6,4,2,7,8,3,1]
[6,2,4,5,3,1,7,8]=>[3,5,6,1,4,2,7,8]
[6,2,4,5,3,1,8,7]=>[3,5,6,1,4,2,8,7]
[6,2,4,5,3,7,1,8]=>[7,6,5,2,4,3,1,8]
[6,2,4,5,3,7,8,1]=>[8,6,5,2,4,3,7,1]
[6,2,4,5,3,8,7,1]=>[7,6,5,2,4,3,8,1]
[7,2,4,5,3,6,1,8]=>[6,7,5,2,4,3,1,8]
[7,2,4,5,3,6,8,1]=>[8,7,5,2,4,3,6,1]
[8,2,4,5,3,6,7,1]=>[7,8,5,2,4,3,6,1]
[8,2,4,5,3,7,6,1]=>[6,7,5,1,4,8,3,2]
[7,2,4,5,6,3,1,8]=>[3,6,7,1,4,5,2,8]
[7,2,4,5,6,3,8,1]=>[8,7,6,2,4,5,3,1]
[8,2,4,5,6,3,7,1]=>[7,8,6,2,4,5,3,1]
[8,2,4,5,6,7,3,1]=>[3,7,8,1,4,5,6,2]
[8,2,4,5,7,6,3,1]=>[3,6,7,2,4,8,5,1]
[7,2,4,6,5,3,1,8]=>[3,5,6,2,7,4,1,8]
[7,2,4,6,5,3,8,1]=>[8,7,5,2,6,4,3,1]
[8,2,4,6,5,3,7,1]=>[7,8,5,2,6,4,3,1]
[8,2,4,6,5,7,3,1]=>[3,7,8,1,6,4,5,2]
[8,2,4,7,5,6,3,1]=>[3,6,8,1,7,5,4,2]
[8,2,4,7,6,5,3,1]=>[3,5,6,1,7,8,4,2]
[6,2,5,4,3,1,7,8]=>[3,4,5,6,2,1,7,8]
[6,2,5,4,3,1,8,7]=>[3,4,5,6,2,1,8,7]
[6,2,5,4,3,7,1,8]=>[7,6,4,5,2,3,1,8]
[6,2,5,4,3,7,8,1]=>[8,6,4,5,2,3,7,1]
[6,2,5,4,3,8,7,1]=>[7,6,4,5,2,3,8,1]
[7,2,5,4,3,6,1,8]=>[6,7,4,5,2,3,1,8]
[7,2,5,4,3,6,8,1]=>[8,7,4,5,2,3,6,1]
[8,2,5,4,3,6,7,1]=>[7,8,4,5,2,3,6,1]
[8,2,5,4,3,7,6,1]=>[6,7,4,5,1,8,3,2]
[7,2,5,4,6,3,1,8]=>[3,6,7,5,1,4,2,8]
[7,2,5,4,6,3,8,1]=>[8,7,6,5,2,4,3,1]
[8,2,5,4,6,3,7,1]=>[7,8,6,5,2,4,3,1]
[8,2,5,4,6,7,3,1]=>[3,7,8,5,1,4,6,2]
[8,2,5,4,7,6,3,1]=>[3,6,7,5,2,8,4,1]
[7,2,6,4,5,3,1,8]=>[3,5,7,6,4,1,2,8]
[7,2,6,4,5,3,8,1]=>[8,7,5,6,4,2,3,1]
[8,2,6,4,5,3,7,1]=>[7,8,5,6,4,2,3,1]
[8,2,6,4,5,7,3,1]=>[3,7,8,6,4,1,5,2]
[8,2,7,4,5,6,3,1]=>[3,6,8,7,4,5,1,2]
[8,2,7,4,6,5,3,1]=>[3,5,6,8,7,2,4,1]
[7,2,6,5,4,3,1,8]=>[3,4,5,6,7,1,2,8]
[7,2,6,5,4,3,8,1]=>[8,7,4,5,6,2,3,1]
[8,2,6,5,4,3,7,1]=>[7,8,4,5,6,2,3,1]
[8,2,6,5,4,7,3,1]=>[3,7,8,5,6,1,4,2]
[8,2,7,5,4,6,3,1]=>[3,6,8,5,7,4,1,2]
[8,2,7,5,6,4,3,1]=>[3,4,6,8,7,5,2,1]
[8,2,7,6,5,4,3,1]=>[3,4,5,6,7,8,2,1]
[4,3,2,1,8,6,7,5]=>[2,3,4,1,7,8,6,5]
[4,3,2,7,5,6,1,8]=>[6,3,4,2,7,5,1,8]
[4,3,2,7,5,6,8,1]=>[8,3,4,2,7,5,6,1]
[4,3,2,8,5,6,7,1]=>[7,3,4,2,8,5,6,1]
[4,3,2,8,5,7,6,1]=>[6,3,4,2,7,8,1,5]
[4,3,2,8,6,5,7,1]=>[7,3,4,2,6,8,5,1]
[4,3,2,8,6,7,5,1]=>[5,3,4,2,7,8,6,1]
[5,3,2,4,1,6,8,7]=>[4,3,5,2,1,6,8,7]
[5,3,2,4,1,7,6,8]=>[4,3,5,2,1,7,6,8]
[5,3,2,4,1,7,8,6]=>[4,3,5,2,1,8,7,6]
[5,3,2,4,1,8,7,6]=>[4,3,5,2,1,7,8,6]
[5,3,2,4,6,1,8,7]=>[6,3,5,2,4,1,8,7]
[5,3,2,4,6,8,7,1]=>[7,3,5,2,4,6,8,1]
[5,3,2,4,7,6,1,8]=>[6,3,5,2,4,7,1,8]
[5,3,2,4,7,6,8,1]=>[8,3,5,2,4,7,6,1]
[5,3,2,4,8,6,7,1]=>[7,3,5,2,4,8,6,1]
[5,3,2,4,8,7,6,1]=>[6,3,5,2,4,7,8,1]
[6,3,2,4,5,1,8,7]=>[5,3,6,2,4,1,8,7]
[6,3,2,4,5,8,7,1]=>[7,3,6,2,4,5,8,1]
[8,3,2,4,5,7,6,1]=>[6,3,7,1,4,8,5,2]
[7,3,2,4,6,5,8,1]=>[8,3,7,2,6,4,5,1]
[8,3,2,4,6,5,7,1]=>[7,3,8,2,6,4,5,1]
[8,3,2,4,6,7,5,1]=>[5,3,7,1,8,4,6,2]
[8,3,2,4,7,6,5,1]=>[5,3,6,2,7,8,4,1]
[6,3,2,5,4,1,7,8]=>[4,3,5,6,1,2,7,8]
[6,3,2,5,4,1,8,7]=>[4,3,5,6,1,2,8,7]
[6,3,2,5,4,7,1,8]=>[7,3,6,5,2,4,1,8]
[6,3,2,5,4,7,8,1]=>[8,3,6,5,2,4,7,1]
[6,3,2,5,4,8,7,1]=>[7,3,6,5,2,4,8,1]
[7,3,2,5,4,6,1,8]=>[6,3,7,5,2,4,1,8]
[7,3,2,5,4,6,8,1]=>[8,3,7,5,2,4,6,1]
[8,3,2,5,4,6,7,1]=>[7,3,8,5,2,4,6,1]
[8,3,2,5,4,7,6,1]=>[6,3,7,5,1,8,4,2]
[7,3,2,5,6,4,8,1]=>[8,3,7,6,2,5,4,1]
[8,3,2,5,6,4,7,1]=>[7,3,8,6,2,5,4,1]
[8,3,2,5,6,7,4,1]=>[4,3,7,8,1,5,6,2]
[8,3,2,5,7,6,4,1]=>[4,3,6,7,2,8,5,1]
[7,3,2,6,5,4,8,1]=>[8,3,7,5,6,2,4,1]
[8,3,2,6,5,4,7,1]=>[7,3,8,5,6,2,4,1]
[8,3,2,6,5,7,4,1]=>[4,3,7,8,6,1,5,2]
[8,3,2,7,5,6,4,1]=>[4,3,6,8,7,5,1,2]
[8,3,2,7,6,5,4,1]=>[4,3,5,6,7,8,1,2]
[5,3,4,2,1,6,8,7]=>[2,4,5,3,1,6,8,7]
[5,3,4,2,1,7,6,8]=>[2,4,5,3,1,7,6,8]
[5,3,4,2,1,7,8,6]=>[2,4,5,3,1,8,7,6]
[5,3,4,2,1,8,7,6]=>[2,4,5,3,1,7,8,6]
[5,3,4,2,6,1,8,7]=>[6,4,5,3,2,1,8,7]
[5,3,4,2,7,6,1,8]=>[6,4,5,3,2,7,1,8]
[5,3,4,2,7,6,8,1]=>[8,4,5,3,2,7,6,1]
[5,3,4,2,8,6,7,1]=>[7,4,5,3,2,8,6,1]
[6,3,4,2,5,1,8,7]=>[5,4,6,3,2,1,8,7]
[6,3,4,2,5,8,7,1]=>[7,4,6,3,2,5,8,1]
[8,3,4,2,5,7,6,1]=>[6,4,7,1,2,8,5,3]
[7,3,4,2,6,5,1,8]=>[5,4,6,1,7,2,3,8]
[7,3,4,2,6,5,8,1]=>[8,4,7,3,6,2,5,1]
[8,3,4,2,6,5,7,1]=>[7,4,8,3,6,2,5,1]
[8,3,4,2,6,7,5,1]=>[5,4,7,1,8,2,6,3]
[8,3,4,2,7,6,5,1]=>[5,4,6,3,7,8,2,1]
[6,3,4,5,2,1,8,7]=>[2,5,6,3,4,1,8,7]
[6,3,4,5,2,8,7,1]=>[7,5,6,3,4,2,8,1]
[8,3,4,5,2,7,6,1]=>[6,5,7,1,4,8,2,3]
[8,3,4,5,7,6,2,1]=>[2,6,7,1,4,8,5,3]
[7,3,4,6,5,2,1,8]=>[2,5,6,1,7,4,3,8]
[7,3,4,6,5,2,8,1]=>[8,5,6,2,7,4,3,1]
[8,3,4,6,5,2,7,1]=>[7,5,6,2,8,4,3,1]
[8,3,4,6,5,7,2,1]=>[2,7,8,3,6,4,5,1]
[8,3,4,7,5,6,2,1]=>[2,6,8,3,7,5,4,1]
[8,3,4,7,6,5,2,1]=>[2,5,6,3,7,8,4,1]
[6,3,5,4,2,1,7,8]=>[2,4,5,6,1,3,7,8]
[6,3,5,4,2,1,8,7]=>[2,4,5,6,1,3,8,7]
[6,3,5,4,2,7,1,8]=>[7,4,5,6,2,3,1,8]
[6,3,5,4,2,7,8,1]=>[8,4,5,6,2,3,7,1]
[6,3,5,4,2,8,7,1]=>[7,4,5,6,2,3,8,1]
[7,3,5,4,2,6,1,8]=>[6,4,5,7,2,3,1,8]
[7,3,5,4,2,6,8,1]=>[8,4,5,7,2,3,6,1]
[8,3,5,4,2,6,7,1]=>[7,4,5,8,2,3,6,1]
[8,3,5,4,2,7,6,1]=>[6,4,5,7,1,8,3,2]
[7,3,5,4,6,2,1,8]=>[2,6,7,5,3,4,1,8]
[7,3,5,4,6,2,8,1]=>[8,6,7,5,3,4,2,1]
[8,3,5,4,6,2,7,1]=>[7,6,8,5,3,4,2,1]
[8,3,5,4,6,7,2,1]=>[2,7,8,5,3,4,6,1]
[8,3,5,4,7,6,2,1]=>[2,6,7,5,1,8,4,3]
[7,3,6,4,5,2,1,8]=>[2,5,7,6,4,3,1,8]
[7,3,6,4,5,2,8,1]=>[8,5,7,6,4,3,2,1]
[8,3,6,4,5,2,7,1]=>[7,5,8,6,4,3,2,1]
[8,3,6,4,5,7,2,1]=>[2,7,8,6,4,3,5,1]
[8,3,7,4,5,6,2,1]=>[2,6,8,7,4,5,3,1]
[8,3,7,4,6,5,2,1]=>[2,5,6,8,7,1,4,3]
[7,3,6,5,4,2,1,8]=>[2,4,5,6,7,3,1,8]
[7,3,6,5,4,2,8,1]=>[8,4,5,6,7,3,2,1]
[8,3,6,5,4,2,7,1]=>[7,4,5,6,8,3,2,1]
[8,3,6,5,4,7,2,1]=>[2,7,8,5,6,3,4,1]
[8,3,7,5,4,6,2,1]=>[2,6,8,5,7,4,3,1]
[8,3,7,5,6,4,2,1]=>[2,4,6,8,7,5,1,3]
[8,3,7,6,5,4,2,1]=>[2,4,5,6,7,8,1,3]
[5,4,3,2,8,6,7,1]=>[7,3,4,5,2,8,6,1]
[6,4,3,2,5,1,8,7]=>[5,3,4,6,2,1,8,7]
[6,4,3,2,5,8,7,1]=>[7,3,4,6,2,5,8,1]
[8,4,3,2,5,7,6,1]=>[6,3,4,7,1,8,5,2]
[7,4,3,2,6,5,1,8]=>[5,3,4,6,7,1,2,8]
[7,4,3,2,6,5,8,1]=>[8,3,4,7,6,2,5,1]
[8,4,3,2,6,5,7,1]=>[7,3,4,8,6,2,5,1]
[8,4,3,2,6,7,5,1]=>[5,3,4,7,8,1,6,2]
[8,4,3,2,7,6,5,1]=>[5,3,4,6,7,8,2,1]
[6,4,3,5,2,1,8,7]=>[2,5,4,6,3,1,8,7]
[6,4,3,5,2,8,7,1]=>[7,5,4,6,3,2,8,1]
[8,4,3,5,2,7,6,1]=>[6,5,4,7,1,8,2,3]
[8,4,3,5,7,6,2,1]=>[2,6,4,7,1,8,5,3]
[7,4,3,6,5,2,1,8]=>[2,5,4,6,7,1,3,8]
[7,4,3,6,5,2,8,1]=>[8,5,4,6,7,2,3,1]
[8,4,3,6,5,2,7,1]=>[7,5,4,6,8,2,3,1]
[8,4,3,6,5,7,2,1]=>[2,7,4,8,6,3,5,1]
[8,4,3,7,5,6,2,1]=>[2,6,4,8,7,5,3,1]
[8,4,3,7,6,5,2,1]=>[2,5,4,6,7,8,3,1]
[6,5,3,4,2,1,8,7]=>[2,4,5,3,6,1,8,7]
[6,5,3,4,2,8,7,1]=>[7,4,5,3,6,2,8,1]
[8,5,3,4,2,7,6,1]=>[6,4,5,1,7,8,2,3]
[8,5,3,4,7,6,2,1]=>[2,6,5,1,7,8,4,3]
[8,7,3,4,6,5,2,1]=>[2,5,6,1,7,4,8,3]
[7,6,3,5,4,2,1,8]=>[2,4,5,6,1,7,3,8]
[7,6,3,5,4,2,8,1]=>[8,4,5,6,2,7,3,1]
[8,6,3,5,4,2,7,1]=>[7,4,5,6,2,8,3,1]
[8,6,3,5,4,7,2,1]=>[2,7,6,5,3,8,4,1]
[8,7,3,5,4,6,2,1]=>[2,6,7,5,3,4,8,1]
[8,7,3,5,6,4,2,1]=>[2,4,6,7,1,5,8,3]
[8,7,3,6,5,4,2,1]=>[2,4,5,6,7,3,8,1]
[8,5,4,3,2,7,6,1]=>[6,3,4,5,7,8,1,2]
[8,5,4,3,7,6,2,1]=>[2,6,4,5,7,8,1,3]
[8,7,4,3,6,5,2,1]=>[2,5,4,6,7,1,8,3]
[8,7,4,6,5,3,2,1]=>[2,3,5,6,7,1,8,4]
[2,4,1,3,6,5,8,7]=>[4,2,1,3,6,5,8,7]
[2,1,4,6,3,5,8,7]=>[2,1,6,4,3,5,8,7]
[2,4,1,6,3,5,8,7]=>[4,2,6,1,3,5,8,7]
[2,4,6,1,3,5,8,7]=>[6,2,1,4,3,5,8,7]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,6,5,7]
[2,4,1,3,6,8,5,7]=>[4,2,1,3,8,6,5,7]
[2,1,4,6,3,8,5,7]=>[2,1,6,4,8,3,5,7]
[2,4,1,6,3,8,5,7]=>[4,2,6,1,8,3,5,7]
[2,4,6,1,3,8,5,7]=>[6,2,1,4,8,3,5,7]
[2,1,4,6,8,3,5,7]=>[2,1,8,4,3,6,5,7]
[2,4,1,6,8,3,5,7]=>[4,2,8,1,3,6,5,7]
[2,4,6,1,8,3,5,7]=>[6,2,8,4,3,1,5,7]
[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7]
[2,4,1,3,6,5,7,8]=>[4,2,1,3,6,5,7,8]
[2,1,4,6,3,5,7,8]=>[2,1,6,4,3,5,7,8]
[2,4,1,6,3,5,7,8]=>[4,2,6,1,3,5,7,8]
[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]
[2,4,1,3,6,7,5,8]=>[4,2,1,3,7,6,5,8]
[2,1,4,6,3,7,5,8]=>[2,1,6,4,7,3,5,8]
[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]
[2,4,6,1,3,7,5,8]=>[6,2,1,4,7,3,5,8]
[2,1,4,6,7,3,5,8]=>[2,1,7,4,3,6,5,8]
[2,4,1,6,7,3,5,8]=>[4,2,7,1,3,6,5,8]
[2,4,6,7,1,3,5,8]=>[7,2,1,4,3,6,5,8]
[2,4,1,3,6,7,8,5]=>[4,2,1,3,8,6,7,5]
[2,1,4,6,3,7,8,5]=>[2,1,6,4,8,3,7,5]
[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]
[2,4,6,1,3,7,8,5]=>[6,2,1,4,8,3,7,5]
[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5]
[2,4,1,6,7,3,8,5]=>[4,2,7,1,8,6,3,5]
[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5]
[2,4,6,7,1,3,8,5]=>[7,2,1,4,8,6,3,5]
[2,1,4,6,7,8,3,5]=>[2,1,8,4,3,6,7,5]
[2,4,1,6,7,8,3,5]=>[4,2,8,1,3,6,7,5]
[2,4,6,1,7,8,3,5]=>[6,2,8,4,3,1,7,5]
[2,4,6,7,1,8,3,5]=>[7,2,8,4,3,6,1,5]
[2,4,6,7,8,1,3,5]=>[8,2,1,4,3,6,7,5]
[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]
[2,4,1,3,7,5,8,6]=>[4,2,1,3,7,8,5,6]
[2,1,4,7,3,5,8,6]=>[2,1,7,4,3,8,5,6]
[2,4,1,7,3,5,8,6]=>[4,2,7,1,3,8,5,6]
[2,4,7,1,3,5,8,6]=>[7,2,1,4,3,8,5,6]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]
[2,4,1,3,7,8,5,6]=>[4,2,1,3,8,5,7,6]
[2,1,4,7,3,8,5,6]=>[2,1,7,4,8,5,3,6]
[2,4,1,7,3,8,5,6]=>[4,2,7,1,8,5,3,6]
[2,4,7,1,3,8,5,6]=>[7,2,1,4,8,5,3,6]
[2,1,4,7,8,3,5,6]=>[2,1,8,4,3,5,7,6]
[2,4,1,7,8,3,5,6]=>[4,2,8,1,3,5,7,6]
[2,4,7,1,8,3,5,6]=>[7,2,8,4,3,5,1,6]
[2,4,7,8,1,3,5,6]=>[8,2,1,4,3,5,7,6]
[2,4,1,3,7,5,6,8]=>[4,2,1,3,7,5,6,8]
[2,1,4,7,3,5,6,8]=>[2,1,7,4,3,5,6,8]
[2,4,7,1,3,5,6,8]=>[7,2,1,4,3,5,6,8]
[2,4,1,3,5,7,6,8]=>[4,2,1,3,5,7,6,8]
[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8]
[2,4,5,1,3,7,6,8]=>[5,2,1,4,3,7,6,8]
[2,4,5,1,7,3,6,8]=>[5,2,7,4,1,3,6,8]
[2,4,1,3,5,7,8,6]=>[4,2,1,3,5,8,7,6]
[2,4,1,5,3,7,8,6]=>[4,2,5,1,3,8,7,6]
[2,4,5,1,3,7,8,6]=>[5,2,1,4,3,8,7,6]
[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]
[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6]
[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6]
[2,4,5,7,1,3,8,6]=>[7,2,1,4,5,8,3,6]
[2,1,4,5,7,8,3,6]=>[2,1,8,4,5,3,7,6]
[2,4,1,5,7,8,3,6]=>[4,2,8,1,5,3,7,6]
[2,4,5,1,7,8,3,6]=>[5,2,8,4,1,3,7,6]
[2,4,5,7,1,8,3,6]=>[7,2,8,4,5,3,1,6]
[2,4,5,7,8,1,3,6]=>[8,2,1,4,5,3,7,6]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]
[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]
[2,1,4,8,3,5,6,7]=>[2,1,8,4,3,5,6,7]
[2,4,1,8,3,5,6,7]=>[4,2,8,1,3,5,6,7]
[2,4,8,1,3,5,6,7]=>[8,2,1,4,3,5,6,7]
[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,6,7]
[2,4,1,3,5,8,6,7]=>[4,2,1,3,5,8,6,7]
[2,1,4,5,3,8,6,7]=>[2,1,5,4,3,8,6,7]
[2,4,1,5,3,8,6,7]=>[4,2,5,1,3,8,6,7]
[2,1,4,5,8,3,6,7]=>[2,1,8,4,5,3,6,7]
[2,4,1,5,8,3,6,7]=>[4,2,8,1,5,3,6,7]
[2,4,5,1,8,3,6,7]=>[5,2,8,4,1,3,6,7]
[2,4,5,8,1,3,6,7]=>[8,2,1,4,5,3,6,7]
[2,4,1,3,5,6,8,7]=>[4,2,1,3,5,6,8,7]
[2,4,1,5,3,6,8,7]=>[4,2,5,1,3,6,8,7]
[2,4,1,5,6,3,8,7]=>[4,2,6,1,5,3,8,7]
[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7]
[2,4,5,6,1,3,8,7]=>[6,2,1,4,5,3,8,7]
[2,1,4,5,6,8,3,7]=>[2,1,8,4,5,6,3,7]
[2,4,1,5,6,8,3,7]=>[4,2,8,1,5,6,3,7]
[2,4,5,1,6,8,3,7]=>[5,2,8,4,1,6,3,7]
[2,4,5,6,1,8,3,7]=>[6,2,8,4,5,1,3,7]
[2,4,5,6,8,1,3,7]=>[8,2,1,4,5,6,3,7]
[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]
[2,4,5,1,3,6,7,8]=>[5,2,1,4,3,6,7,8]
[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]
[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]
[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8]
[2,4,1,5,6,7,3,8]=>[4,2,7,1,5,6,3,8]
[2,4,5,1,6,7,3,8]=>[5,2,7,4,1,6,3,8]
[2,4,5,6,1,7,3,8]=>[6,2,7,4,5,1,3,8]
[2,4,5,6,7,1,3,8]=>[7,2,1,4,5,6,3,8]
[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3]
[2,4,5,1,6,7,8,3]=>[5,2,8,4,1,6,7,3]
[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]
[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3]
[2,4,5,6,7,8,1,3]=>[8,2,1,4,5,6,7,3]
[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]
[2,5,1,3,6,4,8,7]=>[5,2,1,6,3,4,8,7]
[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]
[2,5,1,6,3,4,8,7]=>[5,2,6,3,1,4,8,7]
[2,5,6,1,3,4,8,7]=>[6,2,1,3,5,4,8,7]
[2,1,5,3,6,8,4,7]=>[2,1,5,8,3,6,4,7]
[2,5,1,3,6,8,4,7]=>[5,2,1,8,3,6,4,7]
[2,5,1,6,3,8,4,7]=>[5,2,6,8,1,3,4,7]
[2,5,6,1,3,8,4,7]=>[6,2,1,8,5,3,4,7]
[2,1,5,6,8,3,4,7]=>[2,1,8,3,5,6,4,7]
[2,5,1,6,8,3,4,7]=>[5,2,8,3,1,6,4,7]
[2,5,6,1,8,3,4,7]=>[6,2,8,3,5,1,4,7]
[2,5,6,8,1,3,4,7]=>[8,2,1,3,5,6,4,7]
[2,1,5,3,6,4,7,8]=>[2,1,5,6,3,4,7,8]
[2,5,1,3,6,4,7,8]=>[5,2,1,6,3,4,7,8]
[2,1,5,6,3,4,7,8]=>[2,1,6,3,5,4,7,8]
[2,5,1,6,3,4,7,8]=>[5,2,6,3,1,4,7,8]
[2,5,6,1,3,4,7,8]=>[6,2,1,3,5,4,7,8]
[2,1,5,3,6,7,4,8]=>[2,1,5,7,3,6,4,8]
[2,5,1,3,6,7,4,8]=>[5,2,1,7,3,6,4,8]
[2,1,5,6,3,7,4,8]=>[2,1,6,7,5,3,4,8]
[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]
[2,5,6,1,3,7,4,8]=>[6,2,1,7,5,3,4,8]
[2,1,5,6,7,3,4,8]=>[2,1,7,3,5,6,4,8]
[2,5,1,6,7,3,4,8]=>[5,2,7,3,1,6,4,8]
[2,5,6,1,7,3,4,8]=>[6,2,7,3,5,1,4,8]
[2,5,6,7,1,3,4,8]=>[7,2,1,3,5,6,4,8]
[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]
[2,5,1,3,6,7,8,4]=>[5,2,1,8,3,6,7,4]
[2,1,5,6,3,7,8,4]=>[2,1,6,8,5,3,7,4]
[2,5,1,6,3,7,8,4]=>[5,2,6,8,1,3,7,4]
[2,5,6,1,3,7,8,4]=>[6,2,1,8,5,3,7,4]
[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4]
[2,5,1,6,7,3,8,4]=>[5,2,7,8,1,6,3,4]
[2,5,6,1,7,3,8,4]=>[6,2,7,8,5,1,3,4]
[2,5,6,7,1,3,8,4]=>[7,2,1,8,5,6,3,4]
[2,1,5,6,7,8,3,4]=>[2,1,8,3,5,6,7,4]
[2,5,1,6,7,8,3,4]=>[5,2,8,3,1,6,7,4]
[2,5,6,1,7,8,3,4]=>[6,2,8,3,5,1,7,4]
[2,5,6,7,1,8,3,4]=>[7,2,8,3,5,6,1,4]
[2,5,6,7,8,1,3,4]=>[8,2,1,3,5,6,7,4]
[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]
[2,5,1,3,7,4,8,6]=>[5,2,1,7,3,8,4,6]
[2,1,5,7,3,4,8,6]=>[2,1,7,3,5,8,4,6]
[2,5,1,7,3,4,8,6]=>[5,2,7,3,1,8,4,6]
[2,5,7,1,3,4,8,6]=>[7,2,1,3,5,8,4,6]
[2,1,5,3,7,8,4,6]=>[2,1,5,8,3,4,7,6]
[2,5,1,3,7,8,4,6]=>[5,2,1,8,3,4,7,6]
[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,4,3,6]
[2,5,1,7,3,8,4,6]=>[5,2,7,8,1,4,3,6]
[2,5,7,1,3,8,4,6]=>[7,2,1,8,5,4,3,6]
[2,1,5,7,8,3,4,6]=>[2,1,8,3,5,4,7,6]
[2,5,1,7,8,3,4,6]=>[5,2,8,3,1,4,7,6]
[2,5,7,1,8,3,4,6]=>[7,2,8,3,5,4,1,6]
[2,5,7,8,1,3,4,6]=>[8,2,1,3,5,4,7,6]
[2,1,5,3,7,4,6,8]=>[2,1,5,7,3,4,6,8]
[2,5,1,3,7,4,6,8]=>[5,2,1,7,3,4,6,8]
[2,1,5,7,3,4,6,8]=>[2,1,7,3,5,4,6,8]
[2,5,1,3,4,7,6,8]=>[5,2,1,3,4,7,6,8]
[2,3,5,1,4,7,6,8]=>[5,2,3,1,4,7,6,8]
[2,1,3,5,7,4,6,8]=>[2,1,3,7,5,4,6,8]
[2,3,1,5,7,4,6,8]=>[3,2,1,7,5,4,6,8]
[2,3,5,1,7,4,6,8]=>[5,2,3,7,1,4,6,8]
[2,3,5,7,1,4,6,8]=>[7,2,3,1,5,4,6,8]
[2,5,1,3,4,7,8,6]=>[5,2,1,3,4,8,7,6]
[2,3,5,1,4,7,8,6]=>[5,2,3,1,4,8,7,6]
[2,1,3,5,7,4,8,6]=>[2,1,3,7,5,8,4,6]
[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6]
[2,3,5,7,1,4,8,6]=>[7,2,3,1,5,8,4,6]
[2,1,3,5,7,8,4,6]=>[2,1,3,8,5,4,7,6]
[2,3,1,5,7,8,4,6]=>[3,2,1,8,5,4,7,6]
[2,3,5,1,7,8,4,6]=>[5,2,3,8,1,4,7,6]
[2,3,5,7,1,8,4,6]=>[7,2,3,8,5,4,1,6]
[2,3,5,7,8,1,4,6]=>[8,2,3,1,5,4,7,6]
[2,1,5,3,8,4,6,7]=>[2,1,5,8,3,4,6,7]
[2,5,1,3,8,4,6,7]=>[5,2,1,8,3,4,6,7]
[2,1,5,8,3,4,6,7]=>[2,1,8,3,5,4,6,7]
[2,5,1,8,3,4,6,7]=>[5,2,8,3,1,4,6,7]
[2,5,8,1,3,4,6,7]=>[8,2,1,3,5,4,6,7]
[2,5,1,3,4,8,6,7]=>[5,2,1,3,4,8,6,7]
[2,1,3,5,4,8,6,7]=>[2,1,3,5,4,8,6,7]
[2,3,5,1,4,8,6,7]=>[5,2,3,1,4,8,6,7]
[2,1,3,5,8,4,6,7]=>[2,1,3,8,5,4,6,7]
[2,3,1,5,8,4,6,7]=>[3,2,1,8,5,4,6,7]
[2,3,5,1,8,4,6,7]=>[5,2,3,8,1,4,6,7]
[2,3,5,8,1,4,6,7]=>[8,2,3,1,5,4,6,7]
[2,1,5,3,4,6,8,7]=>[2,1,5,3,4,6,8,7]
[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7]
[2,3,5,6,1,4,8,7]=>[6,2,3,1,5,4,8,7]
[2,1,3,5,6,8,4,7]=>[2,1,3,8,5,6,4,7]
[2,3,1,5,6,8,4,7]=>[3,2,1,8,5,6,4,7]
[2,3,5,1,6,8,4,7]=>[5,2,3,8,1,6,4,7]
[2,3,5,6,1,8,4,7]=>[6,2,3,8,5,1,4,7]
[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7]
[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]
[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]
[2,3,5,1,4,6,7,8]=>[5,2,3,1,4,6,7,8]
[2,3,5,1,6,4,7,8]=>[5,2,3,6,1,4,7,8]
[2,3,5,6,1,4,7,8]=>[6,2,3,1,5,4,7,8]
[2,3,5,1,6,7,4,8]=>[5,2,3,7,1,6,4,8]
[2,3,5,6,1,7,4,8]=>[6,2,3,7,5,1,4,8]
[2,3,5,6,7,1,4,8]=>[7,2,3,1,5,6,4,8]
[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4]
[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]
[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4]
[2,3,5,6,7,8,1,4]=>[8,2,3,1,5,6,7,4]
[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]
[2,6,1,3,7,4,8,5]=>[6,2,1,7,8,3,4,5]
[2,1,6,7,3,4,8,5]=>[2,1,7,3,8,6,4,5]
[2,6,1,7,3,4,8,5]=>[6,2,7,3,8,1,4,5]
[2,6,7,1,3,4,8,5]=>[7,2,1,3,8,6,4,5]
[2,1,6,3,7,8,4,5]=>[2,1,6,8,4,3,7,5]
[2,6,1,3,7,8,4,5]=>[6,2,1,8,4,3,7,5]
[2,1,6,7,3,8,4,5]=>[2,1,7,8,4,6,3,5]
[2,6,1,7,3,8,4,5]=>[6,2,7,8,4,1,3,5]
[2,6,7,1,3,8,4,5]=>[7,2,1,8,4,6,3,5]
[2,1,6,7,8,3,4,5]=>[2,1,8,3,4,6,7,5]
[2,6,1,7,8,3,4,5]=>[6,2,8,3,4,1,7,5]
[2,6,7,1,8,3,4,5]=>[7,2,8,3,4,6,1,5]
[2,6,7,8,1,3,4,5]=>[8,2,1,3,4,6,7,5]
[2,1,6,3,7,4,5,8]=>[2,1,6,7,4,3,5,8]
[2,6,1,3,7,4,5,8]=>[6,2,1,7,4,3,5,8]
[2,1,6,7,3,4,5,8]=>[2,1,7,3,4,6,5,8]
[2,6,1,7,3,4,5,8]=>[6,2,7,3,4,1,5,8]
[2,6,7,1,3,4,5,8]=>[7,2,1,3,4,6,5,8]
[2,1,6,3,4,7,5,8]=>[2,1,6,3,7,4,5,8]
[2,6,1,3,4,7,5,8]=>[6,2,1,3,7,4,5,8]
[2,3,1,6,4,7,5,8]=>[3,2,1,6,7,4,5,8]
[2,3,6,1,4,7,5,8]=>[6,2,3,1,7,4,5,8]
[2,3,1,6,7,4,5,8]=>[3,2,1,7,4,6,5,8]
[2,3,6,1,7,4,5,8]=>[6,2,3,7,4,1,5,8]
[2,3,6,7,1,4,5,8]=>[7,2,3,1,4,6,5,8]
[2,1,6,3,4,7,8,5]=>[2,1,6,3,8,4,7,5]
[2,6,1,3,4,7,8,5]=>[6,2,1,3,8,4,7,5]
[2,1,3,6,4,7,8,5]=>[2,1,3,6,8,4,7,5]
[2,3,1,6,4,7,8,5]=>[3,2,1,6,8,4,7,5]
[2,3,6,1,4,7,8,5]=>[6,2,3,1,8,4,7,5]
[2,1,3,6,7,4,8,5]=>[2,1,3,7,8,6,4,5]
[2,3,1,6,7,4,8,5]=>[3,2,1,7,8,6,4,5]
[2,3,6,1,7,4,8,5]=>[6,2,3,7,8,1,4,5]
[2,3,6,7,1,4,8,5]=>[7,2,3,1,8,6,4,5]
[2,1,3,6,7,8,4,5]=>[2,1,3,8,4,6,7,5]
[2,3,1,6,7,8,4,5]=>[3,2,1,8,4,6,7,5]
[2,3,6,1,7,8,4,5]=>[6,2,3,8,4,1,7,5]
[2,3,6,7,1,8,4,5]=>[7,2,3,8,4,6,1,5]
[2,3,6,7,8,1,4,5]=>[8,2,3,1,4,6,7,5]
[2,1,6,3,8,4,5,7]=>[2,1,6,8,4,3,5,7]
[2,6,1,3,8,4,5,7]=>[6,2,1,8,4,3,5,7]
[2,1,6,8,3,4,5,7]=>[2,1,8,3,4,6,5,7]
[2,6,1,8,3,4,5,7]=>[6,2,8,3,4,1,5,7]
[2,6,8,1,3,4,5,7]=>[8,2,1,3,4,6,5,7]
[2,1,6,3,4,8,5,7]=>[2,1,6,3,8,4,5,7]
[2,6,1,3,4,8,5,7]=>[6,2,1,3,8,4,5,7]
[2,1,3,6,4,8,5,7]=>[2,1,3,6,8,4,5,7]
[2,3,1,6,4,8,5,7]=>[3,2,1,6,8,4,5,7]
[2,3,6,1,4,8,5,7]=>[6,2,3,1,8,4,5,7]
[2,3,1,6,8,4,5,7]=>[3,2,1,8,4,6,5,7]
[2,3,6,1,8,4,5,7]=>[6,2,3,8,4,1,5,7]
[2,3,6,8,1,4,5,7]=>[8,2,3,1,4,6,5,7]
[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]
[2,6,1,3,4,5,8,7]=>[6,2,1,3,4,5,8,7]
[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7]
[2,3,1,6,4,5,8,7]=>[3,2,1,6,4,5,8,7]
[2,3,6,1,4,5,8,7]=>[6,2,3,1,4,5,8,7]
[2,3,4,6,1,5,8,7]=>[6,2,3,4,1,5,8,7]
[2,1,3,4,6,8,5,7]=>[2,1,3,4,8,6,5,7]
[2,3,1,4,6,8,5,7]=>[3,2,1,4,8,6,5,7]
[2,3,4,1,6,8,5,7]=>[4,2,3,1,8,6,5,7]
[2,3,4,6,1,8,5,7]=>[6,2,3,4,8,1,5,7]
[2,3,4,6,8,1,5,7]=>[8,2,3,4,1,6,5,7]
[2,1,6,3,4,5,7,8]=>[2,1,6,3,4,5,7,8]
[2,6,1,3,4,5,7,8]=>[6,2,1,3,4,5,7,8]
[2,1,3,6,4,5,7,8]=>[2,1,3,6,4,5,7,8]
[2,3,1,6,4,5,7,8]=>[3,2,1,6,4,5,7,8]
[2,3,6,1,4,5,7,8]=>[6,2,3,1,4,5,7,8]
[2,3,4,6,1,5,7,8]=>[6,2,3,4,1,5,7,8]
[2,3,4,6,1,7,5,8]=>[6,2,3,4,7,1,5,8]
[2,3,4,6,7,1,5,8]=>[7,2,3,4,1,6,5,8]
[2,3,4,6,1,7,8,5]=>[6,2,3,4,8,1,7,5]
[2,3,4,6,7,1,8,5]=>[7,2,3,4,8,6,1,5]
[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5]
[2,1,7,3,8,4,5,6]=>[2,1,7,8,4,5,3,6]
[2,7,1,3,8,4,5,6]=>[7,2,1,8,4,5,3,6]
[2,1,7,8,3,4,5,6]=>[2,1,8,3,4,5,7,6]
[2,7,1,8,3,4,5,6]=>[7,2,8,3,4,5,1,6]
[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6]
[2,1,7,3,4,8,5,6]=>[2,1,7,3,8,5,4,6]
[2,7,1,3,4,8,5,6]=>[7,2,1,3,8,5,4,6]
[2,1,3,7,4,8,5,6]=>[2,1,3,7,8,5,4,6]
[2,3,1,7,4,8,5,6]=>[3,2,1,7,8,5,4,6]
[2,3,7,1,4,8,5,6]=>[7,2,3,1,8,5,4,6]
[2,1,3,7,8,4,5,6]=>[2,1,3,8,4,5,7,6]
[2,3,1,7,8,4,5,6]=>[3,2,1,8,4,5,7,6]
[2,3,7,1,8,4,5,6]=>[7,2,3,8,4,5,1,6]
[2,3,7,8,1,4,5,6]=>[8,2,3,1,4,5,7,6]
[2,1,7,3,4,5,8,6]=>[2,1,7,3,4,8,5,6]
[2,7,1,3,4,5,8,6]=>[7,2,1,3,4,8,5,6]
[2,1,3,7,4,5,8,6]=>[2,1,3,7,4,8,5,6]
[2,3,1,7,4,5,8,6]=>[3,2,1,7,4,8,5,6]
[2,3,7,1,4,5,8,6]=>[7,2,3,1,4,8,5,6]
[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6]
[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6]
[2,3,4,7,1,5,8,6]=>[7,2,3,4,1,8,5,6]
[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,5,7,6]
[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,5,7,6]
[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,5,7,6]
[2,3,4,7,1,8,5,6]=>[7,2,3,4,8,5,1,6]
[2,3,4,7,8,1,5,6]=>[8,2,3,4,1,5,7,6]
[2,1,7,3,4,5,6,8]=>[2,1,7,3,4,5,6,8]
[2,7,1,3,4,5,6,8]=>[7,2,1,3,4,5,6,8]
[2,1,3,7,4,5,6,8]=>[2,1,3,7,4,5,6,8]
[2,3,1,7,4,5,6,8]=>[3,2,1,7,4,5,6,8]
[2,3,7,1,4,5,6,8]=>[7,2,3,1,4,5,6,8]
[2,1,3,4,7,5,6,8]=>[2,1,3,4,7,5,6,8]
[2,3,1,4,7,5,6,8]=>[3,2,1,4,7,5,6,8]
[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,5,6,8]
[2,3,4,7,1,5,6,8]=>[7,2,3,4,1,5,6,8]
[2,3,4,5,7,1,6,8]=>[7,2,3,4,5,1,6,8]
[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6]
[2,3,4,5,7,8,1,6]=>[8,2,3,4,5,1,7,6]
[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]
[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7]
[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]
[2,3,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]
[2,3,8,1,4,5,6,7]=>[8,2,3,1,4,5,6,7]
[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]
[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,5,6,7]
[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,5,6,7]
[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7]
[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7]
[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,8,6,7]
[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,6,7]
[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,6,7]
[2,3,4,5,8,1,6,7]=>[8,2,3,4,5,1,6,7]
[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]
[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]
[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]
[3,1,4,6,2,5,8,7]=>[3,6,1,4,2,5,8,7]
[3,4,1,6,2,5,8,7]=>[4,6,3,1,2,5,8,7]
[3,4,6,1,2,5,8,7]=>[6,1,3,4,2,5,8,7]
[3,1,4,2,6,8,5,7]=>[3,4,1,2,8,6,5,7]
[3,4,1,2,6,8,5,7]=>[4,1,3,2,8,6,5,7]
[3,1,4,6,2,8,5,7]=>[3,6,1,4,8,2,5,7]
[3,4,1,6,2,8,5,7]=>[4,6,3,1,8,2,5,7]
[3,1,4,6,8,2,5,7]=>[3,8,1,4,2,6,5,7]
[3,4,1,6,8,2,5,7]=>[4,8,3,1,2,6,5,7]
[3,4,6,1,8,2,5,7]=>[6,8,3,4,2,1,5,7]
[3,4,6,8,1,2,5,7]=>[8,1,3,4,2,6,5,7]
[3,1,4,2,6,5,7,8]=>[3,4,1,2,6,5,7,8]
[3,4,1,2,6,5,7,8]=>[4,1,3,2,6,5,7,8]
[3,1,4,6,2,5,7,8]=>[3,6,1,4,2,5,7,8]
[3,4,1,6,2,5,7,8]=>[4,6,3,1,2,5,7,8]
[3,4,6,1,2,5,7,8]=>[6,1,3,4,2,5,7,8]
[3,1,4,2,6,7,5,8]=>[3,4,1,2,7,6,5,8]
[3,4,1,2,6,7,5,8]=>[4,1,3,2,7,6,5,8]
[3,1,4,6,2,7,5,8]=>[3,6,1,4,7,2,5,8]
[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]
[3,4,6,1,2,7,5,8]=>[6,1,3,4,7,2,5,8]
[3,1,4,6,7,2,5,8]=>[3,7,1,4,2,6,5,8]
[3,4,1,6,7,2,5,8]=>[4,7,3,1,2,6,5,8]
[3,4,6,1,7,2,5,8]=>[6,7,3,4,2,1,5,8]
[3,4,6,7,1,2,5,8]=>[7,1,3,4,2,6,5,8]
[3,1,4,2,6,7,8,5]=>[3,4,1,2,8,6,7,5]
[3,4,1,2,6,7,8,5]=>[4,1,3,2,8,6,7,5]
[3,1,4,6,2,7,8,5]=>[3,6,1,4,8,2,7,5]
[3,4,1,6,2,7,8,5]=>[4,6,3,1,8,2,7,5]
[3,4,6,1,2,7,8,5]=>[6,1,3,4,8,2,7,5]
[3,1,4,6,7,2,8,5]=>[3,7,1,4,8,6,2,5]
[3,4,1,6,7,2,8,5]=>[4,7,3,1,8,6,2,5]
[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]
[3,4,6,7,1,2,8,5]=>[7,1,3,4,8,6,2,5]
[3,1,4,6,7,8,2,5]=>[3,8,1,4,2,6,7,5]
[3,4,1,6,7,8,2,5]=>[4,8,3,1,2,6,7,5]
[3,4,6,1,7,8,2,5]=>[6,8,3,4,2,1,7,5]
[3,4,6,7,1,8,2,5]=>[7,8,3,4,2,6,1,5]
[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5]
[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]
[3,4,1,2,7,5,8,6]=>[4,1,3,2,7,8,5,6]
[3,1,4,7,2,5,8,6]=>[3,7,1,4,2,8,5,6]
[3,4,1,7,2,5,8,6]=>[4,7,3,1,2,8,5,6]
[3,4,7,1,2,5,8,6]=>[7,1,3,4,2,8,5,6]
[3,1,4,2,7,8,5,6]=>[3,4,1,2,8,5,7,6]
[3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]
[3,1,4,7,2,8,5,6]=>[3,7,1,4,8,5,2,6]
[3,4,1,7,2,8,5,6]=>[4,7,3,1,8,5,2,6]
[3,4,7,1,2,8,5,6]=>[7,1,3,4,8,5,2,6]
[3,4,1,7,8,2,5,6]=>[4,8,3,1,2,5,7,6]
[3,4,7,1,8,2,5,6]=>[7,8,3,4,2,5,1,6]
[3,4,7,8,1,2,5,6]=>[8,1,3,4,2,5,7,6]
[3,1,4,2,7,5,6,8]=>[3,4,1,2,7,5,6,8]
[3,4,1,2,7,5,6,8]=>[4,1,3,2,7,5,6,8]
[3,1,4,7,2,5,6,8]=>[3,7,1,4,2,5,6,8]
[3,4,7,1,2,5,6,8]=>[7,1,3,4,2,5,6,8]
[3,1,4,2,5,7,6,8]=>[3,4,1,2,5,7,6,8]
[3,4,1,2,5,7,6,8]=>[4,1,3,2,5,7,6,8]
[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]
[3,4,1,5,2,7,6,8]=>[4,5,3,1,2,7,6,8]
[3,4,5,1,2,7,6,8]=>[5,1,3,4,2,7,6,8]
[3,1,4,5,7,2,6,8]=>[3,7,1,4,5,2,6,8]
[3,4,1,5,7,2,6,8]=>[4,7,3,1,5,2,6,8]
[3,4,5,1,7,2,6,8]=>[5,7,3,4,1,2,6,8]
[3,4,5,7,1,2,6,8]=>[7,1,3,4,5,2,6,8]
[3,1,4,2,5,7,8,6]=>[3,4,1,2,5,8,7,6]
[3,4,1,2,5,7,8,6]=>[4,1,3,2,5,8,7,6]
[3,1,4,5,2,7,8,6]=>[3,5,1,4,2,8,7,6]
[3,4,1,5,2,7,8,6]=>[4,5,3,1,2,8,7,6]
[3,4,5,1,2,7,8,6]=>[5,1,3,4,2,8,7,6]
[3,1,4,5,7,2,8,6]=>[3,7,1,4,5,8,2,6]
[3,4,1,5,7,2,8,6]=>[4,7,3,1,5,8,2,6]
[3,4,5,1,7,2,8,6]=>[5,7,3,4,1,8,2,6]
[3,4,5,7,1,2,8,6]=>[7,1,3,4,5,8,2,6]
[3,1,4,5,7,8,2,6]=>[3,8,1,4,5,2,7,6]
[3,4,1,5,7,8,2,6]=>[4,8,3,1,5,2,7,6]
[3,4,5,1,7,8,2,6]=>[5,8,3,4,1,2,7,6]
[3,4,5,7,1,8,2,6]=>[7,8,3,4,5,2,1,6]
[3,4,5,7,8,1,2,6]=>[8,1,3,4,5,2,7,6]
[3,1,4,2,8,5,6,7]=>[3,4,1,2,8,5,6,7]
[3,4,1,2,8,5,6,7]=>[4,1,3,2,8,5,6,7]
[3,1,4,8,2,5,6,7]=>[3,8,1,4,2,5,6,7]
[3,4,1,8,2,5,6,7]=>[4,8,3,1,2,5,6,7]
[3,4,8,1,2,5,6,7]=>[8,1,3,4,2,5,6,7]
[3,1,4,2,5,8,6,7]=>[3,4,1,2,5,8,6,7]
[3,4,1,2,5,8,6,7]=>[4,1,3,2,5,8,6,7]
[3,4,1,5,2,8,6,7]=>[4,5,3,1,2,8,6,7]
[3,4,5,1,2,8,6,7]=>[5,1,3,4,2,8,6,7]
[3,1,4,5,8,2,6,7]=>[3,8,1,4,5,2,6,7]
[3,4,1,5,8,2,6,7]=>[4,8,3,1,5,2,6,7]
[3,4,5,1,8,2,6,7]=>[5,8,3,4,1,2,6,7]
[3,4,5,8,1,2,6,7]=>[8,1,3,4,5,2,6,7]
[3,1,4,2,5,6,8,7]=>[3,4,1,2,5,6,8,7]
[3,4,1,2,5,6,8,7]=>[4,1,3,2,5,6,8,7]
[3,4,1,5,2,6,8,7]=>[4,5,3,1,2,6,8,7]
[3,4,5,1,2,6,8,7]=>[5,1,3,4,2,6,8,7]
[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]
[3,4,1,5,6,2,8,7]=>[4,6,3,1,5,2,8,7]
[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7]
[3,4,5,6,1,2,8,7]=>[6,1,3,4,5,2,8,7]
[3,1,4,5,6,8,2,7]=>[3,8,1,4,5,6,2,7]
[3,4,1,5,6,8,2,7]=>[4,8,3,1,5,6,2,7]
[3,4,5,1,6,8,2,7]=>[5,8,3,4,1,6,2,7]
[3,4,5,6,1,8,2,7]=>[6,8,3,4,5,1,2,7]
[3,4,5,6,8,1,2,7]=>[8,1,3,4,5,6,2,7]
[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]
[3,1,4,5,2,6,7,8]=>[3,5,1,4,2,6,7,8]
[3,4,1,5,2,6,7,8]=>[4,5,3,1,2,6,7,8]
[3,1,4,5,6,2,7,8]=>[3,6,1,4,5,2,7,8]
[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]
[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]
[3,1,4,5,6,7,2,8]=>[3,7,1,4,5,6,2,8]
[3,4,1,5,6,7,2,8]=>[4,7,3,1,5,6,2,8]
[3,4,5,1,6,7,2,8]=>[5,7,3,4,1,6,2,8]
[3,4,5,6,1,7,2,8]=>[6,7,3,4,5,1,2,8]
[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]
[3,4,1,5,6,7,8,2]=>[4,8,3,1,5,6,7,2]
[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2]
[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2]
[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2]
[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]
[3,5,1,2,6,4,8,7]=>[5,1,3,6,2,4,8,7]
[3,1,5,6,2,4,8,7]=>[3,6,1,2,5,4,8,7]
[3,5,1,6,2,4,8,7]=>[5,6,3,2,1,4,8,7]
[3,5,6,1,2,4,8,7]=>[6,1,3,2,5,4,8,7]
[3,1,5,2,6,8,4,7]=>[3,5,1,8,2,6,4,7]
[3,5,1,2,6,8,4,7]=>[5,1,3,8,2,6,4,7]
[3,1,5,6,2,8,4,7]=>[3,6,1,8,5,2,4,7]
[3,5,1,6,2,8,4,7]=>[5,6,3,8,1,2,4,7]
[3,5,6,1,2,8,4,7]=>[6,1,3,8,5,2,4,7]
[3,1,5,6,8,2,4,7]=>[3,8,1,2,5,6,4,7]
[3,5,1,6,8,2,4,7]=>[5,8,3,2,1,6,4,7]
[3,5,6,1,8,2,4,7]=>[6,8,3,2,5,1,4,7]
[3,5,6,8,1,2,4,7]=>[8,1,3,2,5,6,4,7]
[3,1,5,2,6,4,7,8]=>[3,5,1,6,2,4,7,8]
[3,5,1,2,6,4,7,8]=>[5,1,3,6,2,4,7,8]
[3,1,5,6,2,4,7,8]=>[3,6,1,2,5,4,7,8]
[3,5,1,6,2,4,7,8]=>[5,6,3,2,1,4,7,8]
[3,5,6,1,2,4,7,8]=>[6,1,3,2,5,4,7,8]
[3,1,5,2,6,7,4,8]=>[3,5,1,7,2,6,4,8]
[3,5,1,2,6,7,4,8]=>[5,1,3,7,2,6,4,8]
[3,1,5,6,2,7,4,8]=>[3,6,1,7,5,2,4,8]
[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]
[3,5,6,1,2,7,4,8]=>[6,1,3,7,5,2,4,8]
[3,1,5,6,7,2,4,8]=>[3,7,1,2,5,6,4,8]
[3,5,1,6,7,2,4,8]=>[5,7,3,2,1,6,4,8]
[3,5,6,1,7,2,4,8]=>[6,7,3,2,5,1,4,8]
[3,5,6,7,1,2,4,8]=>[7,1,3,2,5,6,4,8]
[3,1,5,2,6,7,8,4]=>[3,5,1,8,2,6,7,4]
[3,5,1,2,6,7,8,4]=>[5,1,3,8,2,6,7,4]
[3,1,5,6,2,7,8,4]=>[3,6,1,8,5,2,7,4]
[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4]
[3,5,6,1,2,7,8,4]=>[6,1,3,8,5,2,7,4]
[3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4]
[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4]
[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4]
[3,5,6,7,1,2,8,4]=>[7,1,3,8,5,6,2,4]
[3,1,5,6,7,8,2,4]=>[3,8,1,2,5,6,7,4]
[3,5,1,6,7,8,2,4]=>[5,8,3,2,1,6,7,4]
[3,5,6,1,7,8,2,4]=>[6,8,3,2,5,1,7,4]
[3,5,6,7,1,8,2,4]=>[7,8,3,2,5,6,1,4]
[3,5,6,7,8,1,2,4]=>[8,1,3,2,5,6,7,4]
[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]
[3,5,1,2,7,4,8,6]=>[5,1,3,7,2,8,4,6]
[3,1,5,7,2,4,8,6]=>[3,7,1,2,5,8,4,6]
[3,5,1,7,2,4,8,6]=>[5,7,3,2,1,8,4,6]
[3,5,7,1,2,4,8,6]=>[7,1,3,2,5,8,4,6]
[3,1,5,2,7,8,4,6]=>[3,5,1,8,2,4,7,6]
[3,5,1,2,7,8,4,6]=>[5,1,3,8,2,4,7,6]
[3,1,5,7,2,8,4,6]=>[3,7,1,8,5,4,2,6]
[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,4,2,6]
[3,5,7,1,2,8,4,6]=>[7,1,3,8,5,4,2,6]
[3,1,5,7,8,2,4,6]=>[3,8,1,2,5,4,7,6]
[3,5,1,7,8,2,4,6]=>[5,8,3,2,1,4,7,6]
[3,5,7,1,8,2,4,6]=>[7,8,3,2,5,4,1,6]
[3,5,7,8,1,2,4,6]=>[8,1,3,2,5,4,7,6]
[3,1,5,2,7,4,6,8]=>[3,5,1,7,2,4,6,8]
[3,5,1,2,7,4,6,8]=>[5,1,3,7,2,4,6,8]
[3,1,5,7,2,4,6,8]=>[3,7,1,2,5,4,6,8]
[3,5,1,7,2,4,6,8]=>[5,7,3,2,1,4,6,8]
[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8]
[3,1,5,2,4,7,6,8]=>[3,5,1,2,4,7,6,8]
[3,5,1,2,4,7,6,8]=>[5,1,3,2,4,7,6,8]
[3,1,2,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]
[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]
[3,1,2,5,7,4,6,8]=>[3,1,2,7,5,4,6,8]
[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]
[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]
[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]
[3,1,5,2,4,7,8,6]=>[3,5,1,2,4,8,7,6]
[3,5,1,2,4,7,8,6]=>[5,1,3,2,4,8,7,6]
[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]
[3,1,2,5,7,4,8,6]=>[3,1,2,7,5,8,4,6]
[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]
[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]
[1,3,5,7,2,4,8,6]=>[1,7,3,2,5,8,4,6]
[3,1,2,5,7,8,4,6]=>[3,1,2,8,5,4,7,6]
[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]
[1,3,5,2,7,8,4,6]=>[1,5,3,8,2,4,7,6]
[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]
[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]
[3,1,5,2,8,4,6,7]=>[3,5,1,8,2,4,6,7]
[3,5,1,2,8,4,6,7]=>[5,1,3,8,2,4,6,7]
[3,1,5,8,2,4,6,7]=>[3,8,1,2,5,4,6,7]
[3,5,1,8,2,4,6,7]=>[5,8,3,2,1,4,6,7]
[3,5,8,1,2,4,6,7]=>[8,1,3,2,5,4,6,7]
[3,1,5,2,4,8,6,7]=>[3,5,1,2,4,8,6,7]
[3,5,1,2,4,8,6,7]=>[5,1,3,2,4,8,6,7]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]
[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]
[3,1,2,5,8,4,6,7]=>[3,1,2,8,5,4,6,7]
[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]
[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]
[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]
[3,1,5,2,4,6,8,7]=>[3,5,1,2,4,6,8,7]
[3,5,1,2,4,6,8,7]=>[5,1,3,2,4,6,8,7]
[3,1,2,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]
[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]
[1,3,5,2,6,4,8,7]=>[1,5,3,6,2,4,8,7]
[1,3,5,6,2,4,8,7]=>[1,6,3,2,5,4,8,7]
[3,1,2,5,6,8,4,7]=>[3,1,2,8,5,6,4,7]
[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]
[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]
[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]
[1,3,5,6,8,2,4,7]=>[1,8,3,2,5,6,4,7]
[3,1,5,2,4,6,7,8]=>[3,5,1,2,4,6,7,8]
[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8]
[3,1,2,5,4,6,7,8]=>[3,1,2,5,4,6,7,8]
[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[3,1,2,5,6,4,7,8]=>[3,1,2,6,5,4,7,8]
[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]
[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]
[3,1,2,5,6,7,4,8]=>[3,1,2,7,5,6,4,8]
[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]
[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]
[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]
[3,1,2,5,6,7,8,4]=>[3,1,2,8,5,6,7,4]
[1,3,5,2,6,7,8,4]=>[1,5,3,8,2,6,7,4]
[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4]
[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]
[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]
[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]
[3,6,1,2,7,4,8,5]=>[6,1,3,7,8,2,4,5]
[3,6,1,7,2,4,8,5]=>[6,7,3,2,8,1,4,5]
[3,6,7,1,2,4,8,5]=>[7,1,3,2,8,6,4,5]
[3,1,6,2,7,8,4,5]=>[3,6,1,8,4,2,7,5]
[3,6,1,2,7,8,4,5]=>[6,1,3,8,4,2,7,5]
[3,1,6,7,2,8,4,5]=>[3,7,1,8,4,6,2,5]
[3,6,1,7,2,8,4,5]=>[6,7,3,8,4,1,2,5]
[3,6,7,1,2,8,4,5]=>[7,1,3,8,4,6,2,5]
[3,1,6,7,8,2,4,5]=>[3,8,1,2,4,6,7,5]
[3,6,1,7,8,2,4,5]=>[6,8,3,2,4,1,7,5]
[3,6,7,1,8,2,4,5]=>[7,8,3,2,4,6,1,5]
[3,6,7,8,1,2,4,5]=>[8,1,3,2,4,6,7,5]
[3,1,6,2,7,4,5,8]=>[3,6,1,7,4,2,5,8]
[3,6,1,2,7,4,5,8]=>[6,1,3,7,4,2,5,8]
[3,1,6,7,2,4,5,8]=>[3,7,1,2,4,6,5,8]
[3,6,1,7,2,4,5,8]=>[6,7,3,2,4,1,5,8]
[3,6,7,1,2,4,5,8]=>[7,1,3,2,4,6,5,8]
[3,1,6,2,4,7,5,8]=>[3,6,1,2,7,4,5,8]
[3,6,1,2,4,7,5,8]=>[6,1,3,2,7,4,5,8]
[3,1,2,6,4,7,5,8]=>[3,1,2,6,7,4,5,8]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]
[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]
[3,1,2,6,7,4,5,8]=>[3,1,2,7,4,6,5,8]
[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]
[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]
[1,3,6,7,2,4,5,8]=>[1,7,3,2,4,6,5,8]
[3,1,6,2,4,7,8,5]=>[3,6,1,2,8,4,7,5]
[3,6,1,2,4,7,8,5]=>[6,1,3,2,8,4,7,5]
[3,1,2,6,4,7,8,5]=>[3,1,2,6,8,4,7,5]
[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]
[1,3,6,2,4,7,8,5]=>[1,6,3,2,8,4,7,5]
[3,1,2,6,7,4,8,5]=>[3,1,2,7,8,6,4,5]
[1,3,2,6,7,4,8,5]=>[1,3,2,7,8,6,4,5]
[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5]
[1,3,6,7,2,4,8,5]=>[1,7,3,2,8,6,4,5]
[3,1,2,6,7,8,4,5]=>[3,1,2,8,4,6,7,5]
[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]
[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]
[1,3,6,7,2,8,4,5]=>[1,7,3,8,4,6,2,5]
[1,3,6,7,8,2,4,5]=>[1,8,3,2,4,6,7,5]
[3,1,6,2,8,4,5,7]=>[3,6,1,8,4,2,5,7]
[3,6,1,2,8,4,5,7]=>[6,1,3,8,4,2,5,7]
[3,1,6,8,2,4,5,7]=>[3,8,1,2,4,6,5,7]
[3,6,1,8,2,4,5,7]=>[6,8,3,2,4,1,5,7]
[3,6,8,1,2,4,5,7]=>[8,1,3,2,4,6,5,7]
[3,1,6,2,4,8,5,7]=>[3,6,1,2,8,4,5,7]
[3,6,1,2,4,8,5,7]=>[6,1,3,2,8,4,5,7]
[3,1,2,6,4,8,5,7]=>[3,1,2,6,8,4,5,7]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]
[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]
[3,1,2,6,8,4,5,7]=>[3,1,2,8,4,6,5,7]
[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]
[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]
[1,3,6,8,2,4,5,7]=>[1,8,3,2,4,6,5,7]
[3,1,6,2,4,5,8,7]=>[3,6,1,2,4,5,8,7]
[3,6,1,2,4,5,8,7]=>[6,1,3,2,4,5,8,7]
[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]
[1,3,6,2,4,5,8,7]=>[1,6,3,2,4,5,8,7]
[3,1,2,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]
[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]
[3,1,2,4,6,8,5,7]=>[3,1,2,4,8,6,5,7]
[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]
[1,3,4,2,6,8,5,7]=>[1,4,3,2,8,6,5,7]
[1,3,4,6,2,8,5,7]=>[1,6,3,4,8,2,5,7]
[1,3,4,6,8,2,5,7]=>[1,8,3,4,2,6,5,7]
[3,1,6,2,4,5,7,8]=>[3,6,1,2,4,5,7,8]
[3,6,1,2,4,5,7,8]=>[6,1,3,2,4,5,7,8]
[3,1,2,6,4,5,7,8]=>[3,1,2,6,4,5,7,8]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]
[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]
[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]
[3,1,2,4,6,7,5,8]=>[3,1,2,4,7,6,5,8]
[1,3,4,6,2,7,5,8]=>[1,6,3,4,7,2,5,8]
[1,3,4,6,7,2,5,8]=>[1,7,3,4,2,6,5,8]
[3,1,2,4,6,7,8,5]=>[3,1,2,4,8,6,7,5]
[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]
[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]
[1,3,4,6,7,8,2,5]=>[1,8,3,4,2,6,7,5]
[3,1,7,2,8,4,5,6]=>[3,7,1,8,4,5,2,6]
[3,7,1,2,8,4,5,6]=>[7,1,3,8,4,5,2,6]
[3,1,7,8,2,4,5,6]=>[3,8,1,2,4,5,7,6]
[3,7,1,8,2,4,5,6]=>[7,8,3,2,4,5,1,6]
[3,7,8,1,2,4,5,6]=>[8,1,3,2,4,5,7,6]
[3,1,7,2,4,8,5,6]=>[3,7,1,2,8,5,4,6]
[3,7,1,2,4,8,5,6]=>[7,1,3,2,8,5,4,6]
[3,1,2,7,4,8,5,6]=>[3,1,2,7,8,5,4,6]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]
[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]
[3,1,2,7,8,4,5,6]=>[3,1,2,8,4,5,7,6]
[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]
[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]
[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]
[3,1,7,2,4,5,8,6]=>[3,7,1,2,4,8,5,6]
[3,7,1,2,4,5,8,6]=>[7,1,3,2,4,8,5,6]
[3,1,2,7,4,5,8,6]=>[3,1,2,7,4,8,5,6]
[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]
[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]
[3,1,2,4,7,5,8,6]=>[3,1,2,4,7,8,5,6]
[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]
[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]
[1,3,4,7,2,5,8,6]=>[1,7,3,4,2,8,5,6]
[3,1,2,4,7,8,5,6]=>[3,1,2,4,8,5,7,6]
[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]
[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,5,7,6]
[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]
[1,3,4,7,8,2,5,6]=>[1,8,3,4,2,5,7,6]
[3,1,7,2,4,5,6,8]=>[3,7,1,2,4,5,6,8]
[3,7,1,2,4,5,6,8]=>[7,1,3,2,4,5,6,8]
[3,1,2,7,4,5,6,8]=>[3,1,2,7,4,5,6,8]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]
[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]
[3,1,2,4,7,5,6,8]=>[3,1,2,4,7,5,6,8]
[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,5,6,8]
[1,3,4,2,7,5,6,8]=>[1,4,3,2,7,5,6,8]
[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]
[3,1,2,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]
[1,3,4,5,7,2,6,8]=>[1,7,3,4,5,2,6,8]
[3,1,2,4,5,7,8,6]=>[3,1,2,4,5,8,7,6]
[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]
[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]
[3,1,8,2,4,5,6,7]=>[3,8,1,2,4,5,6,7]
[3,8,1,2,4,5,6,7]=>[8,1,3,2,4,5,6,7]
[3,1,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]
[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]
[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]
[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]
[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]
[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]
[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]
[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,6,7]
[1,3,4,5,8,2,6,7]=>[1,8,3,4,5,2,6,7]
[3,1,2,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]
[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]
[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]
[4,5,1,2,6,3,8,7]=>[5,1,6,4,2,3,8,7]
[4,1,5,6,2,3,8,7]=>[4,6,2,1,5,3,8,7]
[4,5,1,6,2,3,8,7]=>[5,6,2,4,1,3,8,7]
[4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]
[4,1,5,2,6,8,3,7]=>[4,5,8,1,2,6,3,7]
[4,5,1,2,6,8,3,7]=>[5,1,8,4,2,6,3,7]
[4,1,5,6,2,8,3,7]=>[4,6,8,1,5,2,3,7]
[4,5,1,6,2,8,3,7]=>[5,6,8,4,1,2,3,7]
[4,5,6,1,2,8,3,7]=>[6,1,8,4,5,2,3,7]
[4,1,5,6,8,2,3,7]=>[4,8,2,1,5,6,3,7]
[4,5,1,6,8,2,3,7]=>[5,8,2,4,1,6,3,7]
[4,5,6,1,8,2,3,7]=>[6,8,2,4,5,1,3,7]
[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]
[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]
[4,1,5,6,2,3,7,8]=>[4,6,2,1,5,3,7,8]
[4,5,1,6,2,3,7,8]=>[5,6,2,4,1,3,7,8]
[4,1,5,2,6,7,3,8]=>[4,5,7,1,2,6,3,8]
[4,5,1,2,6,7,3,8]=>[5,1,7,4,2,6,3,8]
[4,1,5,6,2,7,3,8]=>[4,6,7,1,5,2,3,8]
[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]
[4,5,6,1,2,7,3,8]=>[6,1,7,4,5,2,3,8]
[4,1,5,6,7,2,3,8]=>[4,7,2,1,5,6,3,8]
[4,5,1,6,7,2,3,8]=>[5,7,2,4,1,6,3,8]
[4,5,6,1,7,2,3,8]=>[6,7,2,4,5,1,3,8]
[4,1,5,2,6,7,8,3]=>[4,5,8,1,2,6,7,3]
[4,5,1,2,6,7,8,3]=>[5,1,8,4,2,6,7,3]
[4,5,1,6,2,7,8,3]=>[5,6,8,4,1,2,7,3]
[4,5,6,1,2,7,8,3]=>[6,1,8,4,5,2,7,3]
[4,1,5,6,7,2,8,3]=>[4,7,8,1,5,6,2,3]
[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]
[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3]
[4,5,6,7,1,2,8,3]=>[7,1,8,4,5,6,2,3]
[4,1,5,6,7,8,2,3]=>[4,8,2,1,5,6,7,3]
[4,5,1,6,7,8,2,3]=>[5,8,2,4,1,6,7,3]
[4,5,6,1,7,8,2,3]=>[6,8,2,4,5,1,7,3]
[4,5,6,7,1,8,2,3]=>[7,8,2,4,5,6,1,3]
[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]
[4,5,1,2,7,3,8,6]=>[5,1,7,4,2,8,3,6]
[4,1,5,7,2,3,8,6]=>[4,7,2,1,5,8,3,6]
[4,5,1,7,2,3,8,6]=>[5,7,2,4,1,8,3,6]
[4,5,7,1,2,3,8,6]=>[7,1,2,4,5,8,3,6]
[4,1,5,2,7,8,3,6]=>[4,5,8,1,2,3,7,6]
[4,5,1,2,7,8,3,6]=>[5,1,8,4,2,3,7,6]
[4,1,5,7,2,8,3,6]=>[4,7,8,1,5,3,2,6]
[4,5,1,7,2,8,3,6]=>[5,7,8,4,1,3,2,6]
[4,5,7,1,2,8,3,6]=>[7,1,8,4,5,3,2,6]
[4,1,5,7,8,2,3,6]=>[4,8,2,1,5,3,7,6]
[4,5,1,7,8,2,3,6]=>[5,8,2,4,1,3,7,6]
[4,5,7,1,8,2,3,6]=>[7,8,2,4,5,3,1,6]
[4,5,7,8,1,2,3,6]=>[8,1,2,4,5,3,7,6]
[4,1,5,2,7,3,6,8]=>[4,5,7,1,2,3,6,8]
[4,5,1,2,7,3,6,8]=>[5,1,7,4,2,3,6,8]
[4,1,5,7,2,3,6,8]=>[4,7,2,1,5,3,6,8]
[4,5,1,7,2,3,6,8]=>[5,7,2,4,1,3,6,8]
[4,5,7,1,2,3,6,8]=>[7,1,2,4,5,3,6,8]
[4,1,5,2,3,7,6,8]=>[4,5,2,1,3,7,6,8]
[4,5,1,2,3,7,6,8]=>[5,1,2,4,3,7,6,8]
[4,1,2,5,3,7,6,8]=>[4,1,5,2,3,7,6,8]
[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]
[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]
[4,1,2,5,7,3,6,8]=>[4,1,7,2,5,3,6,8]
[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]
[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]
[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]
[4,1,5,2,3,7,8,6]=>[4,5,2,1,3,8,7,6]
[4,5,1,2,3,7,8,6]=>[5,1,2,4,3,8,7,6]
[4,1,2,5,3,7,8,6]=>[4,1,5,2,3,8,7,6]
[1,4,2,5,3,7,8,6]=>[1,4,5,2,3,8,7,6]
[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]
[4,1,2,5,7,3,8,6]=>[4,1,7,2,5,8,3,6]
[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]
[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]
[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]
[4,1,2,5,7,8,3,6]=>[4,1,8,2,5,3,7,6]
[1,4,2,5,7,8,3,6]=>[1,4,8,2,5,3,7,6]
[1,4,5,2,7,8,3,6]=>[1,5,8,4,2,3,7,6]
[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]
[1,4,5,7,8,2,3,6]=>[1,8,2,4,5,3,7,6]
[4,1,5,2,8,3,6,7]=>[4,5,8,1,2,3,6,7]
[4,5,1,2,8,3,6,7]=>[5,1,8,4,2,3,6,7]
[4,1,5,8,2,3,6,7]=>[4,8,2,1,5,3,6,7]
[4,5,1,8,2,3,6,7]=>[5,8,2,4,1,3,6,7]
[4,5,8,1,2,3,6,7]=>[8,1,2,4,5,3,6,7]
[4,1,5,2,3,8,6,7]=>[4,5,2,1,3,8,6,7]
[4,5,1,2,3,8,6,7]=>[5,1,2,4,3,8,6,7]
[4,1,2,5,3,8,6,7]=>[4,1,5,2,3,8,6,7]
[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]
[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]
[4,1,2,5,8,3,6,7]=>[4,1,8,2,5,3,6,7]
[1,4,2,5,8,3,6,7]=>[1,4,8,2,5,3,6,7]
[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]
[1,4,5,8,2,3,6,7]=>[1,8,2,4,5,3,6,7]
[4,1,5,2,3,6,8,7]=>[4,5,2,1,3,6,8,7]
[4,5,1,2,3,6,8,7]=>[5,1,2,4,3,6,8,7]
[1,4,2,5,3,6,8,7]=>[1,4,5,2,3,6,8,7]
[4,1,2,5,6,3,8,7]=>[4,1,6,2,5,3,8,7]
[1,4,2,5,6,3,8,7]=>[1,4,6,2,5,3,8,7]
[1,4,5,2,6,3,8,7]=>[1,5,6,4,2,3,8,7]
[1,4,5,6,2,3,8,7]=>[1,6,2,4,5,3,8,7]
[4,1,2,5,6,8,3,7]=>[4,1,8,2,5,6,3,7]
[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]
[1,4,5,2,6,8,3,7]=>[1,5,8,4,2,6,3,7]
[1,4,5,6,2,8,3,7]=>[1,6,8,4,5,2,3,7]
[1,4,5,6,8,2,3,7]=>[1,8,2,4,5,6,3,7]
[4,1,5,2,3,6,7,8]=>[4,5,2,1,3,6,7,8]
[4,1,2,5,3,6,7,8]=>[4,1,5,2,3,6,7,8]
[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]
[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]
[4,1,2,5,6,3,7,8]=>[4,1,6,2,5,3,7,8]
[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]
[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]
[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]
[4,1,2,5,6,7,3,8]=>[4,1,7,2,5,6,3,8]
[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]
[1,4,5,2,6,7,3,8]=>[1,5,7,4,2,6,3,8]
[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]
[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]
[4,1,2,5,6,7,8,3]=>[4,1,8,2,5,6,7,3]
[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]
[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]
[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]
[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3]
[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]
[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]
[4,6,1,2,7,3,8,5]=>[6,1,7,4,8,2,3,5]
[4,1,6,7,2,3,8,5]=>[4,7,2,1,8,6,3,5]
[4,6,1,7,2,3,8,5]=>[6,7,2,4,8,1,3,5]
[4,6,7,1,2,3,8,5]=>[7,1,2,4,8,6,3,5]
[4,1,6,2,7,8,3,5]=>[4,6,8,1,3,2,7,5]
[4,6,1,2,7,8,3,5]=>[6,1,8,4,3,2,7,5]
[4,1,6,7,2,8,3,5]=>[4,7,8,1,3,6,2,5]
[4,6,1,7,2,8,3,5]=>[6,7,8,4,3,1,2,5]
[4,6,7,1,2,8,3,5]=>[7,1,8,4,3,6,2,5]
[4,1,6,7,8,2,3,5]=>[4,8,2,1,3,6,7,5]
[4,6,1,7,8,2,3,5]=>[6,8,2,4,3,1,7,5]
[4,6,7,1,8,2,3,5]=>[7,8,2,4,3,6,1,5]
[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5]
[4,1,6,2,7,3,5,8]=>[4,6,7,1,3,2,5,8]
[4,6,1,2,7,3,5,8]=>[6,1,7,4,3,2,5,8]
[4,1,6,7,2,3,5,8]=>[4,7,2,1,3,6,5,8]
[4,6,1,7,2,3,5,8]=>[6,7,2,4,3,1,5,8]
[4,6,7,1,2,3,5,8]=>[7,1,2,4,3,6,5,8]
[4,1,6,2,3,7,5,8]=>[4,6,2,1,7,3,5,8]
[4,6,1,2,3,7,5,8]=>[6,1,2,4,7,3,5,8]
[4,1,2,6,3,7,5,8]=>[4,1,6,2,7,3,5,8]
[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]
[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]
[4,1,2,6,7,3,5,8]=>[4,1,7,2,3,6,5,8]
[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]
[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]
[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]
[4,1,6,2,3,7,8,5]=>[4,6,2,1,8,3,7,5]
[4,6,1,2,3,7,8,5]=>[6,1,2,4,8,3,7,5]
[4,1,2,6,3,7,8,5]=>[4,1,6,2,8,3,7,5]
[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]
[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]
[4,1,2,6,7,3,8,5]=>[4,1,7,2,8,6,3,5]
[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]
[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]
[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]
[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]
[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]
[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]
[1,4,6,7,8,2,3,5]=>[1,8,2,4,3,6,7,5]
[4,1,6,2,8,3,5,7]=>[4,6,8,1,3,2,5,7]
[4,6,1,2,8,3,5,7]=>[6,1,8,4,3,2,5,7]
[4,1,6,8,2,3,5,7]=>[4,8,2,1,3,6,5,7]
[4,6,1,8,2,3,5,7]=>[6,8,2,4,3,1,5,7]
[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7]
[4,1,6,2,3,8,5,7]=>[4,6,2,1,8,3,5,7]
[4,6,1,2,3,8,5,7]=>[6,1,2,4,8,3,5,7]
[4,1,2,6,3,8,5,7]=>[4,1,6,2,8,3,5,7]
[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]
[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]
[4,1,2,6,8,3,5,7]=>[4,1,8,2,3,6,5,7]
[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]
[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]
[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]
[4,1,6,2,3,5,8,7]=>[4,6,2,1,3,5,8,7]
[4,6,1,2,3,5,8,7]=>[6,1,2,4,3,5,8,7]
[4,1,2,6,3,5,8,7]=>[4,1,6,2,3,5,8,7]
[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]
[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]
[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]
[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]
[1,2,4,6,3,5,8,7]=>[1,2,6,4,3,5,8,7]
[4,1,2,3,6,8,5,7]=>[4,1,2,3,8,6,5,7]
[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]
[1,2,4,3,6,8,5,7]=>[1,2,4,3,8,6,5,7]
[1,2,4,6,3,8,5,7]=>[1,2,6,4,8,3,5,7]
[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]
[4,1,6,2,3,5,7,8]=>[4,6,2,1,3,5,7,8]
[4,6,1,2,3,5,7,8]=>[6,1,2,4,3,5,7,8]
[4,1,2,6,3,5,7,8]=>[4,1,6,2,3,5,7,8]
[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]
[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]
[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]
[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]
[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[4,1,2,3,6,7,5,8]=>[4,1,2,3,7,6,5,8]
[1,4,2,3,6,7,5,8]=>[1,4,2,3,7,6,5,8]
[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]
[1,2,4,6,7,3,5,8]=>[1,2,7,4,3,6,5,8]
[4,1,2,3,6,7,8,5]=>[4,1,2,3,8,6,7,5]
[1,4,2,3,6,7,8,5]=>[1,4,2,3,8,6,7,5]
[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]
[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]
[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]
[4,1,7,2,8,3,5,6]=>[4,7,8,1,3,5,2,6]
[4,7,1,2,8,3,5,6]=>[7,1,8,4,3,5,2,6]
[4,1,7,8,2,3,5,6]=>[4,8,2,1,3,5,7,6]
[4,7,1,8,2,3,5,6]=>[7,8,2,4,3,5,1,6]
[4,7,8,1,2,3,5,6]=>[8,1,2,4,3,5,7,6]
[4,1,7,2,3,8,5,6]=>[4,7,2,1,8,5,3,6]
[4,7,1,2,3,8,5,6]=>[7,1,2,4,8,5,3,6]
[4,1,2,7,3,8,5,6]=>[4,1,7,2,8,5,3,6]
[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]
[1,4,7,2,3,8,5,6]=>[1,7,2,4,8,5,3,6]
[4,1,2,7,8,3,5,6]=>[4,1,8,2,3,5,7,6]
[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]
[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]
[1,4,7,8,2,3,5,6]=>[1,8,2,4,3,5,7,6]
[4,1,7,2,3,5,8,6]=>[4,7,2,1,3,8,5,6]
[4,7,1,2,3,5,8,6]=>[7,1,2,4,3,8,5,6]
[4,1,2,7,3,5,8,6]=>[4,1,7,2,3,8,5,6]
[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]
[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]
[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,8,5,6]
[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]
[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]
[1,2,4,7,3,5,8,6]=>[1,2,7,4,3,8,5,6]
[4,1,2,3,7,8,5,6]=>[4,1,2,3,8,5,7,6]
[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]
[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]
[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]
[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]
[4,1,7,2,3,5,6,8]=>[4,7,2,1,3,5,6,8]
[4,7,1,2,3,5,6,8]=>[7,1,2,4,3,5,6,8]
[4,1,2,7,3,5,6,8]=>[4,1,7,2,3,5,6,8]
[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]
[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]
[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]
[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]
[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]
[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]
[1,2,4,5,7,3,6,8]=>[1,2,7,4,5,3,6,8]
[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]
[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]
[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]
[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]
[4,1,8,2,3,5,6,7]=>[4,8,2,1,3,5,6,7]
[4,8,1,2,3,5,6,7]=>[8,1,2,4,3,5,6,7]
[4,1,2,8,3,5,6,7]=>[4,1,8,2,3,5,6,7]
[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]
[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]
[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]
[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]
[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]
[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]
[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]
[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]
[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]
[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]
[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]
[5,6,1,2,7,3,8,4]=>[6,1,7,8,5,2,3,4]
[5,1,6,7,2,3,8,4]=>[5,7,2,8,1,6,3,4]
[5,6,1,7,2,3,8,4]=>[6,7,2,8,5,1,3,4]
[5,6,7,1,2,3,8,4]=>[7,1,2,8,5,6,3,4]
[5,1,6,2,7,8,3,4]=>[5,6,8,3,1,2,7,4]
[5,6,1,2,7,8,3,4]=>[6,1,8,3,5,2,7,4]
[5,1,6,7,2,8,3,4]=>[5,7,8,3,1,6,2,4]
[5,6,1,7,2,8,3,4]=>[6,7,8,3,5,1,2,4]
[5,6,7,1,2,8,3,4]=>[7,1,8,3,5,6,2,4]
[5,1,6,7,8,2,3,4]=>[5,8,2,3,1,6,7,4]
[5,6,1,7,8,2,3,4]=>[6,8,2,3,5,1,7,4]
[5,6,7,1,8,2,3,4]=>[7,8,2,3,5,6,1,4]
[5,1,6,2,7,3,4,8]=>[5,6,7,3,1,2,4,8]
[5,6,1,2,7,3,4,8]=>[6,1,7,3,5,2,4,8]
[5,1,6,7,2,3,4,8]=>[5,7,2,3,1,6,4,8]
[5,6,1,7,2,3,4,8]=>[6,7,2,3,5,1,4,8]
[5,1,6,2,3,7,4,8]=>[5,6,2,7,1,3,4,8]
[5,6,1,2,3,7,4,8]=>[6,1,2,7,5,3,4,8]
[5,1,2,6,3,7,4,8]=>[5,1,6,7,2,3,4,8]
[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]
[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]
[5,1,2,6,7,3,4,8]=>[5,1,7,3,2,6,4,8]
[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]
[1,5,6,2,7,3,4,8]=>[1,6,7,3,5,2,4,8]
[1,5,6,7,2,3,4,8]=>[1,7,2,3,5,6,4,8]
[5,1,6,2,3,7,8,4]=>[5,6,2,8,1,3,7,4]
[5,6,1,2,3,7,8,4]=>[6,1,2,8,5,3,7,4]
[5,1,2,6,3,7,8,4]=>[5,1,6,8,2,3,7,4]
[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]
[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]
[5,1,2,6,7,3,8,4]=>[5,1,7,8,2,6,3,4]
[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]
[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]
[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]
[5,1,2,6,7,8,3,4]=>[5,1,8,3,2,6,7,4]
[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]
[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]
[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]
[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]
[5,1,6,2,8,3,4,7]=>[5,6,8,3,1,2,4,7]
[5,6,1,2,8,3,4,7]=>[6,1,8,3,5,2,4,7]
[5,1,6,8,2,3,4,7]=>[5,8,2,3,1,6,4,7]
[5,6,1,8,2,3,4,7]=>[6,8,2,3,5,1,4,7]
[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7]
[5,1,6,2,3,8,4,7]=>[5,6,2,8,1,3,4,7]
[5,6,1,2,3,8,4,7]=>[6,1,2,8,5,3,4,7]
[5,1,2,6,3,8,4,7]=>[5,1,6,8,2,3,4,7]
[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]
[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]
[5,1,2,6,8,3,4,7]=>[5,1,8,3,2,6,4,7]
[1,5,2,6,8,3,4,7]=>[1,5,8,3,2,6,4,7]
[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]
[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]
[5,1,6,2,3,4,8,7]=>[5,6,2,3,1,4,8,7]
[5,6,1,2,3,4,8,7]=>[6,1,2,3,5,4,8,7]
[5,1,2,6,3,4,8,7]=>[5,1,6,3,2,4,8,7]
[1,5,2,6,3,4,8,7]=>[1,5,6,3,2,4,8,7]
[1,5,6,2,3,4,8,7]=>[1,6,2,3,5,4,8,7]
[5,1,2,3,6,4,8,7]=>[5,1,2,6,3,4,8,7]
[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]
[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]
[1,2,5,6,3,4,8,7]=>[1,2,6,3,5,4,8,7]
[5,1,2,3,6,8,4,7]=>[5,1,2,8,3,6,4,7]
[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]
[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]
[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]
[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]
[5,1,6,2,3,4,7,8]=>[5,6,2,3,1,4,7,8]
[5,1,2,6,3,4,7,8]=>[5,1,6,3,2,4,7,8]
[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]
[1,5,6,2,3,4,7,8]=>[1,6,2,3,5,4,7,8]
[5,1,2,3,6,4,7,8]=>[5,1,2,6,3,4,7,8]
[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]
[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]
[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]
[5,1,2,3,6,7,4,8]=>[5,1,2,7,3,6,4,8]
[1,5,2,3,6,7,4,8]=>[1,5,2,7,3,6,4,8]
[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]
[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]
[1,2,5,6,7,3,4,8]=>[1,2,7,3,5,6,4,8]
[5,1,2,3,6,7,8,4]=>[5,1,2,8,3,6,7,4]
[1,5,2,3,6,7,8,4]=>[1,5,2,8,3,6,7,4]
[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]
[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]
[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]
[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]
[5,1,7,2,8,3,4,6]=>[5,7,8,3,1,4,2,6]
[5,7,1,2,8,3,4,6]=>[7,1,8,3,5,4,2,6]
[5,1,7,8,2,3,4,6]=>[5,8,2,3,1,4,7,6]
[5,7,1,8,2,3,4,6]=>[7,8,2,3,5,4,1,6]
[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6]
[5,1,7,2,3,8,4,6]=>[5,7,2,8,1,4,3,6]
[5,7,1,2,3,8,4,6]=>[7,1,2,8,5,4,3,6]
[5,1,2,7,3,8,4,6]=>[5,1,7,8,2,4,3,6]
[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]
[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]
[5,1,2,7,8,3,4,6]=>[5,1,8,3,2,4,7,6]
[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]
[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]
[1,5,7,8,2,3,4,6]=>[1,8,2,3,5,4,7,6]
[5,1,7,2,3,4,8,6]=>[5,7,2,3,1,8,4,6]
[5,7,1,2,3,4,8,6]=>[7,1,2,3,5,8,4,6]
[5,1,2,7,3,4,8,6]=>[5,1,7,3,2,8,4,6]
[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]
[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]
[5,1,2,3,7,4,8,6]=>[5,1,2,7,3,8,4,6]
[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]
[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]
[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]
[5,1,2,3,7,8,4,6]=>[5,1,2,8,3,4,7,6]
[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]
[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]
[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]
[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]
[5,1,7,2,3,4,6,8]=>[5,7,2,3,1,4,6,8]
[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8]
[5,1,2,7,3,4,6,8]=>[5,1,7,3,2,4,6,8]
[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]
[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]
[5,1,2,3,7,4,6,8]=>[5,1,2,7,3,4,6,8]
[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]
[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]
[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]
[5,1,2,3,4,7,6,8]=>[5,1,2,3,4,7,6,8]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]
[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]
[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[5,1,2,3,4,7,8,6]=>[5,1,2,3,4,8,7,6]
[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]
[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]
[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]
[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[5,1,8,2,3,4,6,7]=>[5,8,2,3,1,4,6,7]
[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7]
[5,1,2,8,3,4,6,7]=>[5,1,8,3,2,4,6,7]
[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]
[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]
[5,1,2,3,8,4,6,7]=>[5,1,2,8,3,4,6,7]
[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]
[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]
[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]
[5,1,2,3,4,8,6,7]=>[5,1,2,3,4,8,6,7]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]
[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]
[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]
[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,8,7]
[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]
[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]
[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]
[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]
[6,1,7,2,8,3,4,5]=>[6,7,8,3,4,1,2,5]
[6,7,1,2,8,3,4,5]=>[7,1,8,3,4,6,2,5]
[6,1,7,8,2,3,4,5]=>[6,8,2,3,4,1,7,5]
[6,7,1,8,2,3,4,5]=>[7,8,2,3,4,6,1,5]
[6,1,7,2,3,8,4,5]=>[6,7,2,8,4,1,3,5]
[6,7,1,2,3,8,4,5]=>[7,1,2,8,4,6,3,5]
[6,1,2,7,3,8,4,5]=>[6,1,7,8,4,2,3,5]
[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]
[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]
[6,1,2,7,8,3,4,5]=>[6,1,8,3,4,2,7,5]
[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]
[1,6,7,2,8,3,4,5]=>[1,7,8,3,4,6,2,5]
[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]
[6,1,7,2,3,4,8,5]=>[6,7,2,3,8,1,4,5]
[6,7,1,2,3,4,8,5]=>[7,1,2,3,8,6,4,5]
[6,1,2,7,3,4,8,5]=>[6,1,7,3,8,2,4,5]
[1,6,2,7,3,4,8,5]=>[1,6,7,3,8,2,4,5]
[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]
[6,1,2,3,7,4,8,5]=>[6,1,2,7,8,3,4,5]
[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]
[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]
[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]
[6,1,2,3,7,8,4,5]=>[6,1,2,8,4,3,7,5]
[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]
[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]
[1,2,6,7,3,8,4,5]=>[1,2,7,8,4,6,3,5]
[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]
[6,1,7,2,3,4,5,8]=>[6,7,2,3,4,1,5,8]
[6,1,2,7,3,4,5,8]=>[6,1,7,3,4,2,5,8]
[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]
[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]
[6,1,2,3,7,4,5,8]=>[6,1,2,7,4,3,5,8]
[1,6,2,3,7,4,5,8]=>[1,6,2,7,4,3,5,8]
[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]
[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]
[6,1,2,3,4,7,5,8]=>[6,1,2,3,7,4,5,8]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]
[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]
[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]
[6,1,2,3,4,7,8,5]=>[6,1,2,3,8,4,7,5]
[1,6,2,3,4,7,8,5]=>[1,6,2,3,8,4,7,5]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]
[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]
[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]
[6,1,8,2,3,4,5,7]=>[6,8,2,3,4,1,5,7]
[6,8,1,2,3,4,5,7]=>[8,1,2,3,4,6,5,7]
[6,1,2,8,3,4,5,7]=>[6,1,8,3,4,2,5,7]
[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]
[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]
[6,1,2,3,8,4,5,7]=>[6,1,2,8,4,3,5,7]
[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]
[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]
[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]
[6,1,2,3,4,8,5,7]=>[6,1,2,3,8,4,5,7]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]
[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]
[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]
[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]
[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]
[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]
[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]
[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]
[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[7,1,8,2,3,4,5,6]=>[7,8,2,3,4,5,1,6]
[7,1,2,8,3,4,5,6]=>[7,1,8,3,4,5,2,6]
[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]
[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]
[7,1,2,3,8,4,5,6]=>[7,1,2,8,4,5,3,6]
[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]
[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]
[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]
[7,1,2,3,4,8,5,6]=>[7,1,2,3,8,5,4,6]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]
[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]
[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]
[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]
[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]
[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[5,3,2,6,1,4,8,7]=>[6,3,5,1,2,4,8,7]
[7,3,2,5,4,8,1,6]=>[8,3,7,5,2,1,4,6]
[8,4,5,2,3,7,6,1]=>[6,5,2,7,1,8,3,4]
[7,4,5,2,3,8,1,6]=>[8,5,2,7,4,1,3,6]
[6,4,5,2,3,1,8,7]=>[3,5,2,6,4,1,8,7]
[5,4,6,2,1,3,8,7]=>[2,6,1,5,4,3,8,7]
[3,6,1,5,4,2,8,7]=>[6,4,3,5,1,2,8,7]
[4,6,5,1,3,2,8,7]=>[5,3,1,4,6,2,8,7]
[5,6,4,3,1,2,8,7]=>[3,1,4,6,5,2,8,7]
[7,5,4,3,2,8,1,6]=>[8,3,4,5,7,1,2,6]
[8,6,4,3,7,2,5,1]=>[5,7,4,6,2,8,3,1]
[7,6,4,3,8,2,1,5]=>[2,8,4,6,1,7,3,5]
[6,7,4,3,8,1,2,5]=>[8,1,4,7,2,6,3,5]
[5,7,4,3,1,8,2,6]=>[3,4,7,8,5,2,1,6]
[4,7,5,1,3,8,2,6]=>[5,7,2,4,8,1,3,6]
[3,7,1,5,4,8,2,6]=>[7,8,3,5,1,2,4,6]
[2,1,7,5,4,8,3,6]=>[2,1,8,5,7,3,4,6]
[3,8,1,5,4,7,6,2]=>[8,6,3,5,1,7,4,2]
[4,8,5,1,3,7,6,2]=>[5,8,2,4,6,7,3,1]
[5,8,4,3,1,7,6,2]=>[3,4,8,6,5,7,1,2]
[6,8,4,3,7,1,5,2]=>[7,5,4,8,1,6,3,2]
[7,8,4,3,6,5,1,2]=>[5,1,4,6,8,2,7,3]
[6,8,5,7,3,1,4,2]=>[3,7,4,2,8,6,5,1]
[5,8,6,7,1,3,4,2]=>[7,4,1,3,5,8,6,2]
[4,8,6,1,7,3,5,2]=>[6,5,8,4,1,7,3,2]
[3,8,1,6,7,4,5,2]=>[8,5,3,7,4,1,6,2]
[2,1,8,6,7,4,5,3]=>[2,1,5,7,4,8,6,3]
[2,1,7,6,8,4,3,5]=>[2,1,4,8,3,7,6,5]
[3,7,1,6,8,4,2,5]=>[7,4,3,8,2,1,6,5]
[4,7,6,1,8,3,2,5]=>[6,3,7,4,1,8,2,5]
[5,7,6,8,1,3,2,4]=>[8,3,1,2,5,7,6,4]
[5,4,7,2,1,8,3,6]=>[2,7,8,5,4,3,1,6]
[6,4,7,2,8,1,3,5]=>[8,7,1,6,3,4,2,5]
[7,4,6,2,8,3,1,5]=>[3,8,6,7,2,4,1,5]
[8,4,6,2,7,3,5,1]=>[5,6,7,8,3,4,2,1]
[8,3,2,6,7,4,5,1]=>[5,3,8,7,4,2,6,1]
[7,3,2,6,8,4,1,5]=>[4,3,8,7,2,1,6,5]
[6,3,2,7,8,1,4,5]=>[8,3,6,1,4,2,7,5]
[5,3,2,7,1,8,4,6]=>[7,3,5,8,2,4,1,6]
[4,3,2,1,7,8,5,6]=>[2,3,4,1,8,5,7,6]
[3,4,1,2,8,7,6,5]=>[4,1,3,2,6,7,8,5]
[5,3,2,8,1,7,6,4]=>[8,3,5,6,2,7,1,4]
[6,3,2,8,7,1,5,4]=>[7,3,6,5,1,2,8,4]
[7,3,2,8,6,5,1,4]=>[5,3,6,1,8,7,2,4]
[8,4,7,2,6,5,3,1]=>[3,5,6,7,8,4,2,1]
[7,4,8,2,6,5,1,3]=>[5,6,2,8,7,4,1,3]
[6,4,8,2,7,1,5,3]=>[7,8,5,6,1,4,2,3]
[5,4,8,2,1,7,6,3]=>[2,8,6,5,4,7,1,3]
[4,5,8,1,2,7,6,3]=>[8,1,6,4,5,7,2,3]
[3,5,1,8,2,7,6,4]=>[5,8,3,6,1,7,2,4]
[2,1,5,8,3,7,6,4]=>[2,1,8,6,5,7,3,4]
[2,1,6,8,7,3,5,4]=>[2,1,7,5,3,6,8,4]
[3,6,1,8,7,2,5,4]=>[6,7,3,5,2,1,8,4]
[4,6,8,1,7,2,5,3]=>[8,7,5,4,2,6,1,3]
[5,6,8,7,1,2,4,3]=>[7,1,4,2,5,6,8,3]
[6,5,8,7,2,1,4,3]=>[2,7,4,1,6,5,8,3]
[7,5,8,6,2,4,1,3]=>[4,6,1,2,8,7,3,5]
[8,5,7,6,2,4,3,1]=>[3,4,6,1,7,8,2,5]
[5,7,8,6,1,4,2,3]=>[6,4,2,1,5,8,7,3]
[4,7,8,1,6,5,2,3]=>[8,5,2,4,6,1,7,3]
[3,7,1,8,6,5,2,4]=>[7,5,3,2,6,8,1,4]
[2,1,7,8,6,5,3,4]=>[2,1,5,3,6,8,7,4]
[3,8,1,7,6,5,4,2]=>[8,4,3,5,6,7,1,2]
[4,8,7,1,6,5,3,2]=>[7,3,5,4,6,1,8,2]
[5,8,7,6,1,4,3,2]=>[6,3,4,1,5,7,8,2]
[6,8,7,5,4,1,3,2]=>[4,3,1,5,7,6,8,2]
[3,2,5,1,4,6,7,8]=>[5,3,2,1,4,6,7,8]
[4,2,5,1,3,6,7,8]=>[5,4,1,2,3,6,7,8]
[5,2,4,1,3,6,7,8]=>[4,5,1,2,3,6,7,8]
[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8]
[4,2,6,1,3,5,7,8]=>[6,4,1,2,3,5,7,8]
[5,2,6,1,3,4,7,8]=>[6,5,1,3,2,4,7,8]
[5,3,6,1,2,4,7,8]=>[6,1,5,2,3,4,7,8]
[6,2,4,1,3,5,7,8]=>[4,6,1,2,3,5,7,8]
[6,3,5,1,2,4,7,8]=>[5,1,6,2,3,4,7,8]
[3,2,7,1,4,5,6,8]=>[7,3,2,1,4,5,6,8]
[4,2,7,1,3,5,6,8]=>[7,4,1,2,3,5,6,8]
[5,2,7,1,3,4,6,8]=>[7,5,1,3,2,4,6,8]
[5,3,7,1,2,4,6,8]=>[7,1,5,2,3,4,6,8]
[5,4,7,1,2,3,6,8]=>[7,1,2,5,4,3,6,8]
[6,2,7,1,3,4,5,8]=>[7,6,1,3,4,2,5,8]
[6,3,7,1,2,4,5,8]=>[7,1,6,2,4,3,5,8]
[6,4,7,1,2,3,5,8]=>[7,1,2,6,3,4,5,8]
[7,2,5,1,3,4,6,8]=>[5,7,1,3,2,4,6,8]
[7,3,5,1,2,4,6,8]=>[5,1,7,2,3,4,6,8]
[7,3,6,1,2,4,5,8]=>[6,1,7,2,4,3,5,8]
[7,4,6,1,2,3,5,8]=>[6,1,2,7,3,4,5,8]
[3,2,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7]
[4,2,8,1,3,5,6,7]=>[8,4,1,2,3,5,6,7]
[4,3,8,1,2,5,6,7]=>[8,1,4,3,2,5,6,7]
[5,2,8,1,3,4,6,7]=>[8,5,1,3,2,4,6,7]
[5,3,8,1,2,4,6,7]=>[8,1,5,2,3,4,6,7]
[5,4,8,1,2,3,6,7]=>[8,1,2,5,4,3,6,7]
[6,2,8,1,3,4,5,7]=>[8,6,1,3,4,2,5,7]
[6,3,8,1,2,4,5,7]=>[8,1,6,2,4,3,5,7]
[6,4,8,1,2,3,5,7]=>[8,1,2,6,3,4,5,7]
[6,5,8,1,2,3,4,7]=>[8,1,2,3,6,5,4,7]
[7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,2,6]
[7,3,8,1,2,4,5,6]=>[8,1,7,2,4,5,3,6]
[7,4,8,1,2,3,5,6]=>[8,1,2,7,3,5,4,6]
[7,5,8,1,2,3,4,6]=>[8,1,2,3,7,4,5,6]
[8,2,4,1,3,5,6,7]=>[4,8,1,2,3,5,6,7]
[8,3,5,1,2,4,6,7]=>[5,1,8,2,3,4,6,7]
[8,2,6,1,3,4,5,7]=>[6,8,1,3,4,2,5,7]
[8,3,6,1,2,4,5,7]=>[6,1,8,2,4,3,5,7]
[8,4,6,1,2,3,5,7]=>[6,1,2,8,3,4,5,7]
[8,2,7,1,3,4,5,6]=>[7,8,1,3,4,5,2,6]
[8,3,7,1,2,4,5,6]=>[7,1,8,2,4,5,3,6]
[8,4,7,1,2,3,5,6]=>[7,1,2,8,3,5,4,6]
[8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,6]
[3,2,5,7,1,4,6,8]=>[7,3,2,1,5,4,6,8]
[4,2,5,7,1,3,6,8]=>[7,4,1,2,5,3,6,8]
[4,3,5,7,1,2,6,8]=>[7,1,4,3,5,2,6,8]
[5,2,4,7,1,3,6,8]=>[7,5,1,2,4,3,6,8]
[5,3,4,7,1,2,6,8]=>[7,1,5,3,4,2,6,8]
[3,2,6,7,1,4,5,8]=>[7,3,2,1,4,6,5,8]
[4,2,6,7,1,3,5,8]=>[7,4,1,2,3,6,5,8]
[4,3,6,7,1,2,5,8]=>[7,1,4,3,2,6,5,8]
[5,2,6,7,1,3,4,8]=>[7,5,1,3,2,6,4,8]
[5,3,6,7,1,2,4,8]=>[7,1,5,2,3,6,4,8]
[6,2,4,7,1,3,5,8]=>[7,6,1,2,3,4,5,8]
[6,3,4,7,1,2,5,8]=>[7,1,6,3,2,4,5,8]
[6,2,5,7,1,3,4,8]=>[7,6,1,3,2,5,4,8]
[6,3,5,7,1,2,4,8]=>[7,1,6,2,3,5,4,8]
[7,2,4,6,1,3,5,8]=>[6,7,1,2,3,4,5,8]
[7,3,4,6,1,2,5,8]=>[6,1,7,3,2,4,5,8]
[7,2,5,6,1,3,4,8]=>[6,7,1,3,2,5,4,8]
[7,3,5,6,1,2,4,8]=>[6,1,7,2,3,5,4,8]
[3,2,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7]
[4,2,5,8,1,3,6,7]=>[8,4,1,2,5,3,6,7]
[4,3,5,8,1,2,6,7]=>[8,1,4,3,5,2,6,7]
[5,2,4,8,1,3,6,7]=>[8,5,1,2,4,3,6,7]
[5,3,4,8,1,2,6,7]=>[8,1,5,3,4,2,6,7]
[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7]
[4,2,6,8,1,3,5,7]=>[8,4,1,2,3,6,5,7]
[4,3,6,8,1,2,5,7]=>[8,1,4,3,2,6,5,7]
[5,2,6,8,1,3,4,7]=>[8,5,1,3,2,6,4,7]
[5,3,6,8,1,2,4,7]=>[8,1,5,2,3,6,4,7]
[5,4,6,8,1,2,3,7]=>[8,1,2,5,4,6,3,7]
[6,2,4,8,1,3,5,7]=>[8,6,1,2,3,4,5,7]
[6,3,4,8,1,2,5,7]=>[8,1,6,3,2,4,5,7]
[6,2,5,8,1,3,4,7]=>[8,6,1,3,2,5,4,7]
[6,3,5,8,1,2,4,7]=>[8,1,6,2,3,5,4,7]
[6,4,5,8,1,2,3,7]=>[8,1,2,6,4,5,3,7]
[3,2,7,8,1,4,5,6]=>[8,3,2,1,4,5,7,6]
[4,2,7,8,1,3,5,6]=>[8,4,1,2,3,5,7,6]
[4,3,7,8,1,2,5,6]=>[8,1,4,3,2,5,7,6]
[5,2,7,8,1,3,4,6]=>[8,5,1,3,2,4,7,6]
[5,3,7,8,1,2,4,6]=>[8,1,5,2,3,4,7,6]
[5,4,7,8,1,2,3,6]=>[8,1,2,5,4,3,7,6]
[6,2,7,8,1,3,4,5]=>[8,6,1,3,4,2,7,5]
[6,3,7,8,1,2,4,5]=>[8,1,6,2,4,3,7,5]
[6,4,7,8,1,2,3,5]=>[8,1,2,6,3,4,7,5]
[7,2,4,8,1,3,5,6]=>[8,7,1,2,3,5,4,6]
[7,3,4,8,1,2,5,6]=>[8,1,7,3,2,5,4,6]
[7,2,5,8,1,3,4,6]=>[8,7,1,3,2,4,5,6]
[7,3,5,8,1,2,4,6]=>[8,1,7,2,3,4,5,6]
[7,4,5,8,1,2,3,6]=>[8,1,2,7,4,3,5,6]
[7,2,6,8,1,3,4,5]=>[8,7,1,3,4,2,6,5]
[7,3,6,8,1,2,4,5]=>[8,1,7,2,4,3,6,5]
[7,4,6,8,1,2,3,5]=>[8,1,2,7,3,4,6,5]
[8,2,4,6,1,3,5,7]=>[6,8,1,2,3,4,5,7]
[8,3,4,6,1,2,5,7]=>[6,1,8,3,2,4,5,7]
[8,2,5,6,1,3,4,7]=>[6,8,1,3,2,5,4,7]
[8,3,5,6,1,2,4,7]=>[6,1,8,2,3,5,4,7]
[8,2,4,7,1,3,5,6]=>[7,8,1,2,3,5,4,6]
[8,3,4,7,1,2,5,6]=>[7,1,8,3,2,5,4,6]
[8,2,5,7,1,3,4,6]=>[7,8,1,3,2,4,5,6]
[8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,6]
[8,4,5,7,1,2,3,6]=>[7,1,2,8,4,3,5,6]
[8,2,6,7,1,3,4,5]=>[7,8,1,3,4,2,6,5]
[8,3,6,7,1,2,4,5]=>[7,1,8,2,4,3,6,5]
[8,4,6,7,1,2,3,5]=>[7,1,2,8,3,4,6,5]
[3,6,2,5,1,4,7,8]=>[5,6,3,1,2,4,7,8]
[4,6,2,5,1,3,7,8]=>[5,6,1,4,2,3,7,8]
[4,6,3,5,1,2,7,8]=>[5,1,6,4,3,2,7,8]
[5,6,2,4,1,3,7,8]=>[4,6,1,2,5,3,7,8]
[3,7,2,5,1,4,6,8]=>[5,7,3,1,2,4,6,8]
[4,7,2,5,1,3,6,8]=>[5,7,1,4,2,3,6,8]
[4,7,3,5,1,2,6,8]=>[5,1,7,4,3,2,6,8]
[5,7,2,4,1,3,6,8]=>[4,7,1,2,5,3,6,8]
[5,7,3,4,1,2,6,8]=>[4,1,7,3,5,2,6,8]
[3,7,2,6,1,4,5,8]=>[6,7,3,1,4,2,5,8]
[4,7,2,6,1,3,5,8]=>[6,7,1,4,3,2,5,8]
[4,7,3,6,1,2,5,8]=>[6,1,7,4,2,3,5,8]
[5,7,2,6,1,3,4,8]=>[6,7,1,3,5,2,4,8]
[5,7,3,6,1,2,4,8]=>[6,1,7,2,5,3,4,8]
[5,7,4,6,1,2,3,8]=>[6,1,2,7,5,4,3,8]
[6,7,2,4,1,3,5,8]=>[4,7,1,2,3,6,5,8]
[6,7,2,5,1,3,4,8]=>[5,7,1,3,2,6,4,8]
[6,7,3,5,1,2,4,8]=>[5,1,7,2,3,6,4,8]
[3,8,2,5,1,4,6,7]=>[5,8,3,1,2,4,6,7]
[4,8,2,5,1,3,6,7]=>[5,8,1,4,2,3,6,7]
[4,8,3,5,1,2,6,7]=>[5,1,8,4,3,2,6,7]
[5,8,2,4,1,3,6,7]=>[4,8,1,2,5,3,6,7]
[5,8,3,4,1,2,6,7]=>[4,1,8,3,5,2,6,7]
[3,8,2,6,1,4,5,7]=>[6,8,3,1,4,2,5,7]
[4,8,2,6,1,3,5,7]=>[6,8,1,4,3,2,5,7]
[5,8,2,6,1,3,4,7]=>[6,8,1,3,5,2,4,7]
[5,8,3,6,1,2,4,7]=>[6,1,8,2,5,3,4,7]
[5,8,4,6,1,2,3,7]=>[6,1,2,8,5,4,3,7]
[6,8,2,4,1,3,5,7]=>[4,8,1,2,3,6,5,7]
[6,8,3,4,1,2,5,7]=>[4,1,8,3,2,6,5,7]
[6,8,2,5,1,3,4,7]=>[5,8,1,3,2,6,4,7]
[6,8,3,5,1,2,4,7]=>[5,1,8,2,3,6,4,7]
[6,8,4,5,1,2,3,7]=>[5,1,2,8,4,6,3,7]
[3,8,2,7,1,4,5,6]=>[7,8,3,1,4,5,2,6]
[4,8,2,7,1,3,5,6]=>[7,8,1,4,3,5,2,6]
[4,8,3,7,1,2,5,6]=>[7,1,8,4,2,5,3,6]
[5,8,2,7,1,3,4,6]=>[7,8,1,3,5,4,2,6]
[5,8,3,7,1,2,4,6]=>[7,1,8,2,5,4,3,6]
[5,8,4,7,1,2,3,6]=>[7,1,2,8,5,3,4,6]
[6,8,2,7,1,3,4,5]=>[7,8,1,3,4,6,2,5]
[6,8,3,7,1,2,4,5]=>[7,1,8,2,4,6,3,5]
[6,8,4,7,1,2,3,5]=>[7,1,2,8,3,6,4,5]
[6,8,5,7,1,2,3,4]=>[7,1,2,3,8,6,5,4]
[7,8,2,4,1,3,5,6]=>[4,8,1,2,3,5,7,6]
[7,8,2,5,1,3,4,6]=>[5,8,1,3,2,4,7,6]
[7,8,3,5,1,2,4,6]=>[5,1,8,2,3,4,7,6]
[7,8,2,6,1,3,4,5]=>[6,8,1,3,4,2,7,5]
[7,8,3,6,1,2,4,5]=>[6,1,8,2,4,3,7,5]
[7,8,4,6,1,2,3,5]=>[6,1,2,8,3,4,7,5]
[4,3,2,6,1,5,7,8]=>[6,3,4,2,1,5,7,8]
[5,3,2,6,1,4,7,8]=>[6,3,5,1,2,4,7,8]
[5,4,2,6,1,3,7,8]=>[6,4,1,5,2,3,7,8]
[6,3,2,5,1,4,7,8]=>[5,3,6,1,2,4,7,8]
[6,4,2,5,1,3,7,8]=>[5,4,1,6,2,3,7,8]
[6,5,2,4,1,3,7,8]=>[4,5,1,2,6,3,7,8]
[4,3,2,7,1,5,6,8]=>[7,3,4,2,1,5,6,8]
[5,3,2,7,1,4,6,8]=>[7,3,5,1,2,4,6,8]
[5,4,2,7,1,3,6,8]=>[7,4,1,5,2,3,6,8]
[5,4,3,7,1,2,6,8]=>[7,1,4,5,3,2,6,8]
[6,3,2,7,1,4,5,8]=>[7,3,6,1,4,2,5,8]
[6,4,2,7,1,3,5,8]=>[7,4,1,6,3,2,5,8]
[6,4,3,7,1,2,5,8]=>[7,1,4,6,2,3,5,8]
[6,5,2,7,1,3,4,8]=>[7,5,1,3,6,2,4,8]
[6,5,3,7,1,2,4,8]=>[7,1,5,2,6,3,4,8]
[7,3,2,5,1,4,6,8]=>[5,3,7,1,2,4,6,8]
[7,4,2,5,1,3,6,8]=>[5,4,1,7,2,3,6,8]
[7,5,2,4,1,3,6,8]=>[4,5,1,2,7,3,6,8]
[7,3,2,6,1,4,5,8]=>[6,3,7,1,4,2,5,8]
[7,4,2,6,1,3,5,8]=>[6,4,1,7,3,2,5,8]
[7,4,3,6,1,2,5,8]=>[6,1,4,7,2,3,5,8]
[7,5,2,6,1,3,4,8]=>[6,5,1,3,7,2,4,8]
[7,5,3,6,1,2,4,8]=>[6,1,5,2,7,3,4,8]
[7,6,3,5,1,2,4,8]=>[5,1,6,2,3,7,4,8]
[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7]
[5,3,2,8,1,4,6,7]=>[8,3,5,1,2,4,6,7]
[5,4,2,8,1,3,6,7]=>[8,4,1,5,2,3,6,7]
[5,4,3,8,1,2,6,7]=>[8,1,4,5,3,2,6,7]
[6,3,2,8,1,4,5,7]=>[8,3,6,1,4,2,5,7]
[6,4,2,8,1,3,5,7]=>[8,4,1,6,3,2,5,7]
[6,4,3,8,1,2,5,7]=>[8,1,4,6,2,3,5,7]
[6,5,2,8,1,3,4,7]=>[8,5,1,3,6,2,4,7]
[6,5,3,8,1,2,4,7]=>[8,1,5,2,6,3,4,7]
[6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7]
[7,3,2,8,1,4,5,6]=>[8,3,7,1,4,5,2,6]
[7,4,2,8,1,3,5,6]=>[8,4,1,7,3,5,2,6]
[7,4,3,8,1,2,5,6]=>[8,1,4,7,2,5,3,6]
[7,5,2,8,1,3,4,6]=>[8,5,1,3,7,4,2,6]
[7,5,3,8,1,2,4,6]=>[8,1,5,2,7,4,3,6]
[7,5,4,8,1,2,3,6]=>[8,1,2,5,7,3,4,6]
[7,6,2,8,1,3,4,5]=>[8,6,1,3,4,7,2,5]
[7,6,4,8,1,2,3,5]=>[8,1,2,6,3,7,4,5]
[8,3,2,5,1,4,6,7]=>[5,3,8,1,2,4,6,7]
[8,4,2,5,1,3,6,7]=>[5,4,1,8,2,3,6,7]
[8,5,2,4,1,3,6,7]=>[4,5,1,2,8,3,6,7]
[8,3,2,6,1,4,5,7]=>[6,3,8,1,4,2,5,7]
[8,4,2,6,1,3,5,7]=>[6,4,1,8,3,2,5,7]
[8,5,3,6,1,2,4,7]=>[6,1,5,2,8,3,4,7]
[8,6,2,4,1,3,5,7]=>[4,6,1,2,3,8,5,7]
[8,6,2,5,1,3,4,7]=>[5,6,1,3,2,8,4,7]
[8,6,3,5,1,2,4,7]=>[5,1,6,2,3,8,4,7]
[8,3,2,7,1,4,5,6]=>[7,3,8,1,4,5,2,6]
[8,4,2,7,1,3,5,6]=>[7,4,1,8,3,5,2,6]
[8,4,3,7,1,2,5,6]=>[7,1,4,8,2,5,3,6]
[8,5,2,7,1,3,4,6]=>[7,5,1,3,8,4,2,6]
[8,5,3,7,1,2,4,6]=>[7,1,5,2,8,4,3,6]
[8,5,4,7,1,2,3,6]=>[7,1,2,5,8,3,4,6]
[8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,5]
[8,6,3,7,1,2,4,5]=>[7,1,6,2,4,8,3,5]
[8,6,4,7,1,2,3,5]=>[7,1,2,6,3,8,4,5]
[8,7,2,4,1,3,5,6]=>[4,7,1,2,3,5,8,6]
[8,7,2,5,1,3,4,6]=>[5,7,1,3,2,4,8,6]
[8,7,3,5,1,2,4,6]=>[5,1,7,2,3,4,8,6]
[8,7,2,6,1,3,4,5]=>[6,7,1,3,4,2,8,5]
[8,7,3,6,1,2,4,5]=>[6,1,7,2,4,3,8,5]
[8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,5]
[3,6,2,5,8,1,4,7]=>[8,6,3,1,2,5,4,7]
[4,6,2,5,8,1,3,7]=>[8,6,1,4,2,5,3,7]
[4,6,3,5,8,1,2,7]=>[8,1,6,4,3,5,2,7]
[5,6,2,4,8,1,3,7]=>[8,6,1,2,5,4,3,7]
[5,6,3,4,8,1,2,7]=>[8,1,6,3,5,4,2,7]
[3,7,2,5,8,1,4,6]=>[8,7,3,1,2,4,5,6]
[4,7,2,5,8,1,3,6]=>[8,7,1,4,2,3,5,6]
[4,7,3,5,8,1,2,6]=>[8,1,7,4,3,2,5,6]
[5,7,2,4,8,1,3,6]=>[8,7,1,2,5,3,4,6]
[5,7,3,4,8,1,2,6]=>[8,1,7,3,5,2,4,6]
[3,7,2,6,8,1,4,5]=>[8,7,3,1,4,2,6,5]
[4,7,2,6,8,1,3,5]=>[8,7,1,4,3,2,6,5]
[4,7,3,6,8,1,2,5]=>[8,1,7,4,2,3,6,5]
[5,7,2,6,8,1,3,4]=>[8,7,1,3,5,2,6,4]
[5,7,3,6,8,1,2,4]=>[8,1,7,2,5,3,6,4]
[5,7,4,6,8,1,2,3]=>[8,1,2,7,5,4,6,3]
[6,7,2,4,8,1,3,5]=>[8,7,1,2,3,6,4,5]
[6,7,3,4,8,1,2,5]=>[8,1,7,3,2,6,4,5]
[6,7,3,5,8,1,2,4]=>[8,1,7,2,3,6,5,4]
[3,8,2,5,7,1,4,6]=>[7,8,3,1,2,4,5,6]
[4,8,2,5,7,1,3,6]=>[7,8,1,4,2,3,5,6]
[4,8,3,5,7,1,2,6]=>[7,1,8,4,3,2,5,6]
[5,8,2,4,7,1,3,6]=>[7,8,1,2,5,3,4,6]
[3,8,2,6,7,1,4,5]=>[7,8,3,1,4,2,6,5]
[4,8,2,6,7,1,3,5]=>[7,8,1,4,3,2,6,5]
[4,8,3,6,7,1,2,5]=>[7,1,8,4,2,3,6,5]
[5,8,2,6,7,1,3,4]=>[7,8,1,3,5,2,6,4]
[5,8,3,6,7,1,2,4]=>[7,1,8,2,5,3,6,4]
[5,8,4,6,7,1,2,3]=>[7,1,2,8,5,4,6,3]
[6,8,2,4,7,1,3,5]=>[7,8,1,2,3,6,4,5]
[6,8,2,5,7,1,3,4]=>[7,8,1,3,2,6,5,4]
[6,8,3,5,7,1,2,4]=>[7,1,8,2,3,6,5,4]
[6,8,4,5,7,1,2,3]=>[7,1,2,8,4,6,5,3]
[7,8,2,4,6,1,3,5]=>[6,8,1,2,3,4,7,5]
[7,8,3,4,6,1,2,5]=>[6,1,8,3,2,4,7,5]
[7,8,2,5,6,1,3,4]=>[6,8,1,3,2,5,7,4]
[7,8,3,5,6,1,2,4]=>[6,1,8,2,3,5,7,4]
[4,3,2,6,8,1,5,7]=>[8,3,4,2,1,6,5,7]
[5,3,2,6,8,1,4,7]=>[8,3,5,1,2,6,4,7]
[5,4,2,6,8,1,3,7]=>[8,4,1,5,2,6,3,7]
[5,4,3,6,8,1,2,7]=>[8,1,4,5,3,6,2,7]
[6,3,2,5,8,1,4,7]=>[8,3,6,1,2,5,4,7]
[6,4,2,5,8,1,3,7]=>[8,4,1,6,2,5,3,7]
[6,4,3,5,8,1,2,7]=>[8,1,4,6,3,5,2,7]
[6,5,2,4,8,1,3,7]=>[8,5,1,2,6,4,3,7]
[6,5,3,4,8,1,2,7]=>[8,1,5,3,6,4,2,7]
[4,3,2,7,8,1,5,6]=>[8,3,4,2,1,5,7,6]
[5,3,2,7,8,1,4,6]=>[8,3,5,1,2,4,7,6]
[5,4,2,7,8,1,3,6]=>[8,4,1,5,2,3,7,6]
[5,4,3,7,8,1,2,6]=>[8,1,4,5,3,2,7,6]
[6,4,2,7,8,1,3,5]=>[8,4,1,6,3,2,7,5]
[6,4,3,7,8,1,2,5]=>[8,1,4,6,2,3,7,5]
[6,5,2,7,8,1,3,4]=>[8,5,1,3,6,2,7,4]
[6,5,3,7,8,1,2,4]=>[8,1,5,2,6,3,7,4]
[7,3,2,5,8,1,4,6]=>[8,3,7,1,2,4,5,6]
[7,4,2,5,8,1,3,6]=>[8,4,1,7,2,3,5,6]
[7,4,3,5,8,1,2,6]=>[8,1,4,7,3,2,5,6]
[7,5,2,4,8,1,3,6]=>[8,5,1,2,7,3,4,6]
[7,5,3,4,8,1,2,6]=>[8,1,5,3,7,2,4,6]
[7,3,2,6,8,1,4,5]=>[8,3,7,1,4,2,6,5]
[7,4,2,6,8,1,3,5]=>[8,4,1,7,3,2,6,5]
[7,4,3,6,8,1,2,5]=>[8,1,4,7,2,3,6,5]
[7,5,2,6,8,1,3,4]=>[8,5,1,3,7,2,6,4]
[7,5,3,6,8,1,2,4]=>[8,1,5,2,7,3,6,4]
[7,6,2,4,8,1,3,5]=>[8,6,1,2,3,7,4,5]
[7,6,3,4,8,1,2,5]=>[8,1,6,3,2,7,4,5]
[7,6,2,5,8,1,3,4]=>[8,6,1,3,2,7,5,4]
[7,6,3,5,8,1,2,4]=>[8,1,6,2,3,7,5,4]
[8,3,2,5,7,1,4,6]=>[7,3,8,1,2,4,5,6]
[8,4,2,5,7,1,3,6]=>[7,4,1,8,2,3,5,6]
[8,4,3,5,7,1,2,6]=>[7,1,4,8,3,2,5,6]
[8,5,2,4,7,1,3,6]=>[7,5,1,2,8,3,4,6]
[8,5,3,4,7,1,2,6]=>[7,1,5,3,8,2,4,6]
[8,3,2,6,7,1,4,5]=>[7,3,8,1,4,2,6,5]
[8,4,2,6,7,1,3,5]=>[7,4,1,8,3,2,6,5]
[8,4,3,6,7,1,2,5]=>[7,1,4,8,2,3,6,5]
[8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,4]
[8,5,3,6,7,1,2,4]=>[7,1,5,2,8,3,6,4]
[8,6,2,4,7,1,3,5]=>[7,6,1,2,3,8,4,5]
[8,6,3,4,7,1,2,5]=>[7,1,6,3,2,8,4,5]
[8,6,2,5,7,1,3,4]=>[7,6,1,3,2,8,5,4]
[8,6,3,5,7,1,2,4]=>[7,1,6,2,3,8,5,4]
[8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,5]
[8,7,3,4,6,1,2,5]=>[6,1,7,3,2,4,8,5]
[8,7,2,5,6,1,3,4]=>[6,7,1,3,2,5,8,4]
[8,7,3,5,6,1,2,4]=>[6,1,7,2,3,5,8,4]
[4,3,7,2,6,1,5,8]=>[6,7,4,3,1,2,5,8]
[5,3,7,2,6,1,4,8]=>[6,7,5,1,3,2,4,8]
[5,4,7,2,6,1,3,8]=>[6,7,1,5,4,2,3,8]
[5,4,7,3,6,1,2,8]=>[6,1,7,5,4,3,2,8]
[6,3,7,2,5,1,4,8]=>[5,7,6,1,2,3,4,8]
[6,4,7,2,5,1,3,8]=>[5,7,1,6,2,4,3,8]
[6,4,7,3,5,1,2,8]=>[5,1,7,6,3,4,2,8]
[6,5,7,2,4,1,3,8]=>[4,7,1,2,6,5,3,8]
[7,3,6,2,5,1,4,8]=>[5,6,7,1,2,3,4,8]
[7,4,6,2,5,1,3,8]=>[5,6,1,7,2,4,3,8]
[7,4,6,3,5,1,2,8]=>[5,1,6,7,3,4,2,8]
[7,5,6,2,4,1,3,8]=>[4,6,1,2,7,5,3,8]
[4,3,8,2,6,1,5,7]=>[6,8,4,3,1,2,5,7]
[5,3,8,2,6,1,4,7]=>[6,8,5,1,3,2,4,7]
[5,4,8,2,6,1,3,7]=>[6,8,1,5,4,2,3,7]
[5,4,8,3,6,1,2,7]=>[6,1,8,5,4,3,2,7]
[6,3,8,2,5,1,4,7]=>[5,8,6,1,2,3,4,7]
[6,4,8,2,5,1,3,7]=>[5,8,1,6,2,4,3,7]
[6,4,8,3,5,1,2,7]=>[5,1,8,6,3,4,2,7]
[6,5,8,2,4,1,3,7]=>[4,8,1,2,6,5,3,7]
[6,5,8,3,4,1,2,7]=>[4,1,8,3,6,5,2,7]
[4,3,8,2,7,1,5,6]=>[7,8,4,3,1,5,2,6]
[5,3,8,2,7,1,4,6]=>[7,8,5,1,3,4,2,6]
[5,4,8,2,7,1,3,6]=>[7,8,1,5,4,3,2,6]
[5,4,8,3,7,1,2,6]=>[7,1,8,5,4,2,3,6]
[6,3,8,2,7,1,4,5]=>[7,8,6,1,4,3,2,5]
[6,4,8,2,7,1,3,5]=>[7,8,1,6,3,4,2,5]
[6,4,8,3,7,1,2,5]=>[7,1,8,6,2,4,3,5]
[6,5,8,2,7,1,3,4]=>[7,8,1,3,6,5,2,4]
[6,5,8,3,7,1,2,4]=>[7,1,8,2,6,5,3,4]
[6,5,8,4,7,1,2,3]=>[7,1,2,8,6,5,4,3]
[7,3,8,2,5,1,4,6]=>[5,8,7,1,2,4,3,6]
[7,4,8,2,5,1,3,6]=>[5,8,1,7,2,3,4,6]
[7,4,8,3,5,1,2,6]=>[5,1,8,7,3,2,4,6]
[7,5,8,2,4,1,3,6]=>[4,8,1,2,7,3,5,6]
[7,5,8,3,4,1,2,6]=>[4,1,8,3,7,2,5,6]
[7,3,8,2,6,1,4,5]=>[6,8,7,1,4,2,3,5]
[7,4,8,2,6,1,3,5]=>[6,8,1,7,3,2,4,5]
[7,4,8,3,6,1,2,5]=>[6,1,8,7,2,3,4,5]
[7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,5,4]
[7,5,8,3,6,1,2,4]=>[6,1,8,2,7,3,5,4]
[7,5,8,4,6,1,2,3]=>[6,1,2,8,7,4,5,3]
[7,6,8,2,4,1,3,5]=>[4,8,1,2,3,7,6,5]
[7,6,8,2,5,1,3,4]=>[5,8,1,3,2,7,6,4]
[7,6,8,3,5,1,2,4]=>[5,1,8,2,3,7,6,4]
[8,3,6,2,5,1,4,7]=>[5,6,8,1,2,3,4,7]
[8,4,6,2,5,1,3,7]=>[5,6,1,8,2,4,3,7]
[8,4,6,3,5,1,2,7]=>[5,1,6,8,3,4,2,7]
[8,5,6,2,4,1,3,7]=>[4,6,1,2,8,5,3,7]
[8,3,7,2,5,1,4,6]=>[5,7,8,1,2,4,3,6]
[8,4,7,3,5,1,2,6]=>[5,1,7,8,3,2,4,6]
[8,5,7,2,4,1,3,6]=>[4,7,1,2,8,3,5,6]
[8,5,7,3,4,1,2,6]=>[4,1,7,3,8,2,5,6]
[8,3,7,2,6,1,4,5]=>[6,7,8,1,4,2,3,5]
[8,4,7,2,6,1,3,5]=>[6,7,1,8,3,2,4,5]
[8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,5]
[8,5,7,2,6,1,3,4]=>[6,7,1,3,8,2,5,4]
[8,6,7,2,4,1,3,5]=>[4,7,1,2,3,8,6,5]
[8,6,7,2,5,1,3,4]=>[5,7,1,3,2,8,6,4]
[8,6,7,3,5,1,2,4]=>[5,1,7,2,3,8,6,4]
[5,4,3,2,7,1,6,8]=>[7,3,4,5,2,1,6,8]
[6,4,3,2,7,1,5,8]=>[7,3,4,6,1,2,5,8]
[6,5,3,2,7,1,4,8]=>[7,3,5,1,6,2,4,8]
[6,5,4,2,7,1,3,8]=>[7,4,1,5,6,2,3,8]
[7,5,3,2,6,1,4,8]=>[6,3,5,1,7,2,4,8]
[7,5,4,2,6,1,3,8]=>[6,4,1,5,7,2,3,8]
[7,6,3,2,5,1,4,8]=>[5,3,6,1,2,7,4,8]
[7,6,4,2,5,1,3,8]=>[5,4,1,6,2,7,3,8]
[7,6,5,2,4,1,3,8]=>[4,5,1,2,6,7,3,8]
[5,4,3,2,8,1,6,7]=>[8,3,4,5,2,1,6,7]
[6,5,3,2,8,1,4,7]=>[8,3,5,1,6,2,4,7]
[6,5,4,2,8,1,3,7]=>[8,4,1,5,6,2,3,7]
[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7]
[7,4,3,2,8,1,5,6]=>[8,3,4,7,1,5,2,6]
[7,5,3,2,8,1,4,6]=>[8,3,5,1,7,4,2,6]
[7,5,4,2,8,1,3,6]=>[8,4,1,5,7,3,2,6]
[7,5,4,3,8,1,2,6]=>[8,1,4,5,7,2,3,6]
[7,6,3,2,8,1,4,5]=>[8,3,6,1,4,7,2,5]
[7,6,4,3,8,1,2,5]=>[8,1,4,6,2,7,3,5]
[7,6,5,2,8,1,3,4]=>[8,5,1,3,6,7,2,4]
[7,6,5,3,8,1,2,4]=>[8,1,5,2,6,7,3,4]
[8,5,3,2,6,1,4,7]=>[6,3,5,1,8,2,4,7]
[8,5,4,2,6,1,3,7]=>[6,4,1,5,8,2,3,7]
[8,6,3,2,5,1,4,7]=>[5,3,6,1,2,8,4,7]
[8,6,4,2,5,1,3,7]=>[5,4,1,6,2,8,3,7]
[8,6,5,2,4,1,3,7]=>[4,5,1,2,6,8,3,7]
[8,5,3,2,7,1,4,6]=>[7,3,5,1,8,4,2,6]
[8,5,4,2,7,1,3,6]=>[7,4,1,5,8,3,2,6]
[8,6,3,2,7,1,4,5]=>[7,3,6,1,4,8,2,5]
[8,6,4,2,7,1,3,5]=>[7,4,1,6,3,8,2,5]
[8,6,4,3,7,1,2,5]=>[7,1,4,6,2,8,3,5]
[8,6,5,2,7,1,3,4]=>[7,5,1,3,6,8,2,4]
[8,6,5,3,7,1,2,4]=>[7,1,5,2,6,8,3,4]
[8,7,3,2,5,1,4,6]=>[5,3,7,1,2,4,8,6]
[8,7,4,2,5,1,3,6]=>[5,4,1,7,2,3,8,6]
[8,7,5,2,4,1,3,6]=>[4,5,1,2,7,3,8,6]
[8,7,3,2,6,1,4,5]=>[6,3,7,1,4,2,8,5]
[8,7,4,2,6,1,3,5]=>[6,4,1,7,3,2,8,5]
[8,7,4,3,6,1,2,5]=>[6,1,4,7,2,3,8,5]
[8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,4]
[8,7,5,3,6,1,2,4]=>[6,1,5,2,7,3,8,4]
[8,7,6,2,4,1,3,5]=>[4,6,1,2,3,7,8,5]
[8,7,6,2,5,1,3,4]=>[5,6,1,3,2,7,8,4]
[8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,4]
[4,8,3,7,2,6,1,5]=>[6,7,8,4,1,2,3,5]
[5,8,3,7,2,6,1,4]=>[6,7,8,1,5,2,3,4]
[5,8,4,7,2,6,1,3]=>[6,7,1,8,5,2,4,3]
[5,8,4,7,3,6,1,2]=>[6,1,7,8,5,3,4,2]
[6,8,3,7,2,5,1,4]=>[5,7,8,1,2,6,3,4]
[6,8,4,7,2,5,1,3]=>[5,7,1,8,2,6,4,3]
[6,8,4,7,3,5,1,2]=>[5,1,7,8,3,6,4,2]
[6,8,5,7,2,4,1,3]=>[4,7,1,2,8,6,5,3]
[6,8,5,7,3,4,1,2]=>[4,1,7,3,8,6,5,2]
[7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,7,4]
[7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,7,3]
[7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,7,2]
[7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,7,3]
[5,4,3,8,2,7,1,6]=>[7,8,4,5,3,1,2,6]
[6,4,3,8,2,7,1,5]=>[7,8,4,6,1,3,2,5]
[6,5,3,8,2,7,1,4]=>[7,8,5,1,6,3,2,4]
[6,5,4,8,2,7,1,3]=>[7,8,1,5,6,4,2,3]
[6,5,4,8,3,7,1,2]=>[7,1,8,5,6,4,3,2]
[7,4,3,8,2,6,1,5]=>[6,8,4,7,1,2,3,5]
[7,5,3,8,2,6,1,4]=>[6,8,5,1,7,2,3,4]
[7,5,4,8,2,6,1,3]=>[6,8,1,5,7,2,4,3]
[7,5,4,8,3,6,1,2]=>[6,1,8,5,7,3,4,2]
[7,6,3,8,2,5,1,4]=>[5,8,6,1,2,7,3,4]
[7,6,4,8,2,5,1,3]=>[5,8,1,6,2,7,4,3]
[7,6,4,8,3,5,1,2]=>[5,1,8,6,3,7,4,2]
[7,6,5,8,2,4,1,3]=>[4,8,1,2,6,7,5,3]
[8,4,3,7,2,6,1,5]=>[6,7,4,8,1,2,3,5]
[8,5,3,7,2,6,1,4]=>[6,7,5,1,8,2,3,4]
[8,5,4,7,2,6,1,3]=>[6,7,1,5,8,2,4,3]
[8,5,4,7,3,6,1,2]=>[6,1,7,5,8,3,4,2]
[8,6,3,7,2,5,1,4]=>[5,7,6,1,2,8,3,4]
[8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,3]
[8,6,4,7,3,5,1,2]=>[5,1,7,6,3,8,4,2]
[8,6,5,7,2,4,1,3]=>[4,7,1,2,6,8,5,3]
[8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,4]
[8,7,4,6,2,5,1,3]=>[5,6,1,7,2,4,8,3]
[8,7,4,6,3,5,1,2]=>[5,1,6,7,3,4,8,2]
[8,7,5,6,2,4,1,3]=>[4,6,1,2,7,5,8,3]
[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7]
[7,6,4,3,2,8,1,5]=>[8,3,4,6,1,7,2,5]
[7,6,5,3,2,8,1,4]=>[8,3,5,1,6,7,2,4]
[7,6,5,4,2,8,1,3]=>[8,4,1,5,6,7,2,3]
[8,5,4,3,2,7,1,6]=>[7,3,4,5,8,1,2,6]
[8,6,4,3,2,7,1,5]=>[7,3,4,6,1,8,2,5]
[8,6,5,3,2,7,1,4]=>[7,3,5,1,6,8,2,4]
[8,6,5,4,2,7,1,3]=>[7,4,1,5,6,8,2,3]
[8,7,4,3,2,6,1,5]=>[6,3,4,7,1,2,8,5]
[8,7,5,3,2,6,1,4]=>[6,3,5,1,7,2,8,4]
[8,7,5,4,2,6,1,3]=>[6,4,1,5,7,2,8,3]
[8,7,6,3,2,5,1,4]=>[5,3,6,1,2,7,8,4]
[8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,3]
[8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,3]
[8,1,2,3,4,7,5,6]=>[8,1,2,3,7,5,4,6]
[8,1,2,3,6,4,5,7]=>[8,1,2,6,4,3,5,7]
[8,1,2,3,7,4,5,6]=>[8,1,2,7,4,5,3,6]
[7,1,2,3,6,4,8,5]=>[7,1,2,6,8,3,4,5]
[5,1,2,3,8,7,4,6]=>[5,1,2,7,3,4,8,6]
[8,1,2,3,6,7,4,5]=>[8,1,2,7,4,3,6,5]
[4,1,2,8,3,7,5,6]=>[4,1,8,2,7,5,3,6]
[8,1,2,5,3,4,6,7]=>[8,1,5,3,2,4,6,7]
[7,1,2,5,3,4,8,6]=>[7,1,5,3,2,8,4,6]
[8,1,2,6,3,4,5,7]=>[8,1,6,3,4,2,5,7]
[7,1,2,6,3,4,8,5]=>[7,1,6,3,8,2,4,5]
[6,1,2,5,3,8,4,7]=>[6,1,5,8,2,3,4,7]
[8,1,2,5,3,7,4,6]=>[8,1,5,7,2,4,3,6]
[8,1,2,6,3,7,4,5]=>[8,1,6,7,4,2,3,5]
[6,1,2,5,3,7,8,4]=>[6,1,5,8,2,3,7,4]
[4,1,2,8,6,3,5,7]=>[4,1,6,2,3,8,5,7]
[4,1,2,8,7,3,5,6]=>[4,1,7,2,3,5,8,6]
[4,1,2,7,6,3,8,5]=>[4,1,6,2,7,8,5,3]
[8,1,2,5,6,3,4,7]=>[8,1,6,3,2,5,4,7]
[8,1,2,5,7,3,4,6]=>[8,1,7,3,2,4,5,6]
[8,1,2,7,6,3,4,5]=>[8,1,6,3,4,7,2,5]
[7,1,2,5,6,3,8,4]=>[7,1,6,8,2,5,3,4]
[4,1,2,5,8,7,3,6]=>[4,1,7,2,5,3,8,6]
[4,1,2,8,6,7,3,5]=>[4,1,7,2,3,8,6,5]
[8,1,2,5,6,7,3,4]=>[8,1,7,3,2,5,6,4]
[3,1,8,2,4,7,5,6]=>[3,8,1,2,7,5,4,6]
[3,1,8,2,6,4,5,7]=>[3,8,1,6,4,2,5,7]
[3,1,8,2,7,4,5,6]=>[3,8,1,7,4,5,2,6]
[3,1,7,2,6,4,8,5]=>[3,7,1,6,8,2,4,5]
[3,1,5,2,8,7,4,6]=>[3,5,1,7,2,4,8,6]
[3,1,8,2,6,7,4,5]=>[3,8,1,7,4,2,6,5]
[8,1,4,2,3,5,6,7]=>[8,4,2,1,3,5,6,7]
[7,1,4,2,3,5,8,6]=>[7,4,2,1,3,8,5,6]
[6,1,4,2,3,8,5,7]=>[6,4,2,1,8,3,5,7]
[8,1,4,2,3,7,5,6]=>[8,4,2,1,7,5,3,6]
[6,1,4,2,3,7,8,5]=>[6,4,2,1,8,3,7,5]
[8,1,5,2,3,4,6,7]=>[8,5,2,3,1,4,6,7]
[7,1,5,2,3,4,8,6]=>[7,5,2,3,1,8,4,6]
[8,1,7,2,3,4,5,6]=>[8,7,2,3,4,5,1,6]
[6,1,5,2,3,8,4,7]=>[6,5,2,8,1,3,4,7]
[8,1,5,2,3,7,4,6]=>[8,5,2,7,1,4,3,6]
[6,1,8,2,3,7,4,5]=>[6,8,2,7,4,1,3,5]
[6,1,5,2,3,7,8,4]=>[6,5,2,8,1,3,7,4]
[5,1,4,2,8,3,6,7]=>[5,4,8,1,2,3,6,7]
[5,1,4,2,7,3,8,6]=>[5,4,7,1,2,8,3,6]
[8,1,4,2,6,3,5,7]=>[8,4,6,1,3,2,5,7]
[8,1,4,2,7,3,5,6]=>[8,4,7,1,3,5,2,6]
[7,1,4,2,6,3,8,5]=>[7,4,6,1,8,2,3,5]
[8,1,5,2,6,3,4,7]=>[8,5,6,3,1,2,4,7]
[8,1,5,2,7,3,4,6]=>[8,5,7,3,1,4,2,6]
[7,1,8,2,6,3,4,5]=>[7,8,6,3,4,2,1,5]
[7,1,5,2,6,3,8,4]=>[7,5,6,8,1,2,3,4]
[5,1,4,2,6,8,3,7]=>[5,4,8,1,2,6,3,7]
[5,1,4,2,8,7,3,6]=>[5,4,7,1,2,3,8,6]
[8,1,4,2,6,7,3,5]=>[8,4,7,1,3,2,6,5]
[8,1,5,2,6,7,3,4]=>[8,5,7,3,1,2,6,4]
[5,1,4,2,6,7,8,3]=>[5,4,8,1,2,6,7,3]
[3,1,4,8,2,7,5,6]=>[3,8,1,4,7,5,2,6]
[3,1,8,5,2,4,6,7]=>[3,5,1,2,8,4,6,7]
[3,1,7,5,2,4,8,6]=>[3,5,1,2,7,8,4,6]
[3,1,8,6,2,4,5,7]=>[3,6,1,2,4,8,5,7]
[3,1,7,6,2,4,8,5]=>[3,6,1,2,7,8,5,4]
[3,1,6,5,2,8,4,7]=>[3,5,1,6,8,4,2,7]
[3,1,8,5,2,7,4,6]=>[3,5,1,8,7,2,4,6]
[3,1,8,6,2,7,4,5]=>[3,6,1,8,2,7,4,5]
[3,1,6,5,2,7,8,4]=>[3,5,1,6,8,4,7,2]
[8,1,4,5,2,3,6,7]=>[8,5,2,1,4,3,6,7]
[7,1,4,5,2,3,8,6]=>[7,5,2,1,4,8,3,6]
[8,1,4,6,2,3,5,7]=>[8,6,2,1,3,4,5,7]
[7,1,4,8,2,3,5,6]=>[7,8,2,1,3,5,4,6]
[7,1,4,6,2,3,8,5]=>[7,6,2,1,8,4,3,5]
[8,1,6,5,2,3,4,7]=>[8,5,2,3,6,1,4,7]
[7,1,8,5,2,3,4,6]=>[7,5,2,3,8,4,1,6]
[7,1,8,6,2,3,4,5]=>[7,6,2,3,4,8,1,5]
[7,1,6,5,2,3,8,4]=>[7,5,2,6,8,1,4,3]
[6,1,4,5,2,8,3,7]=>[6,5,8,1,4,2,3,7]
[8,1,4,5,2,7,3,6]=>[8,5,7,1,4,3,2,6]
[8,1,4,6,2,7,3,5]=>[8,6,7,1,3,4,2,5]
[8,1,6,5,2,7,3,4]=>[8,5,6,2,7,1,3,4]
[6,1,4,5,2,7,8,3]=>[6,5,8,1,4,2,7,3]
[3,1,4,8,6,2,5,7]=>[3,6,1,4,2,8,5,7]
[3,1,4,8,7,2,5,6]=>[3,7,1,4,2,5,8,6]
[3,1,4,7,6,2,8,5]=>[3,6,1,4,7,8,5,2]
[3,1,8,5,6,2,4,7]=>[3,6,1,2,8,5,4,7]
[3,1,8,5,7,2,4,6]=>[3,7,1,2,8,4,5,6]
[3,1,8,7,6,2,4,5]=>[3,6,1,2,4,7,8,5]
[3,1,7,5,6,2,8,4]=>[3,6,1,8,7,5,2,4]
[8,1,4,5,6,2,3,7]=>[8,6,2,1,4,5,3,7]
[8,1,4,5,7,2,3,6]=>[8,7,2,1,4,3,5,6]
[8,1,4,7,6,2,3,5]=>[8,6,2,1,3,7,4,5]
[8,1,7,5,6,2,3,4]=>[8,6,2,3,7,5,1,4]
[7,1,4,5,6,2,8,3]=>[7,6,8,1,4,5,2,3]
[3,1,4,5,8,7,2,6]=>[3,7,1,4,5,2,8,6]
[3,1,4,8,6,7,2,5]=>[3,7,1,4,2,8,6,5]
[3,1,8,5,6,7,2,4]=>[3,7,1,2,8,5,6,4]
[8,1,4,5,6,7,2,3]=>[8,7,2,1,4,5,6,3]
[2,8,1,3,4,7,5,6]=>[8,2,1,3,7,5,4,6]
[2,8,1,3,6,4,5,7]=>[8,2,1,6,4,3,5,7]
[2,8,1,3,7,4,5,6]=>[8,2,1,7,4,5,3,6]
[2,7,1,3,6,4,8,5]=>[7,2,1,6,8,3,4,5]
[2,5,1,3,8,7,4,6]=>[5,2,1,7,3,4,8,6]
[2,8,1,3,6,7,4,5]=>[8,2,1,7,4,3,6,5]
[2,4,1,8,3,7,5,6]=>[4,2,8,1,7,5,3,6]
[2,8,1,5,3,4,6,7]=>[8,2,5,3,1,4,6,7]
[2,7,1,5,3,4,8,6]=>[7,2,5,3,1,8,4,6]
[2,8,1,6,3,4,5,7]=>[8,2,6,3,4,1,5,7]
[2,7,1,6,3,4,8,5]=>[7,2,6,3,8,1,4,5]
[2,6,1,5,3,8,4,7]=>[6,2,5,8,1,3,4,7]
[2,8,1,5,3,7,4,6]=>[8,2,5,7,1,4,3,6]
[2,8,1,6,3,7,4,5]=>[8,2,6,7,4,1,3,5]
[2,6,1,5,3,7,8,4]=>[6,2,5,8,1,3,7,4]
[2,4,1,8,6,3,5,7]=>[4,2,6,1,3,8,5,7]
[2,4,1,8,7,3,5,6]=>[4,2,7,1,3,5,8,6]
[2,4,1,7,6,3,8,5]=>[4,2,6,1,7,8,5,3]
[2,8,1,5,6,3,4,7]=>[8,2,6,3,1,5,4,7]
[2,8,1,5,7,3,4,6]=>[8,2,7,3,1,4,5,6]
[2,8,1,7,6,3,4,5]=>[8,2,6,3,4,7,1,5]
[2,7,1,5,6,3,8,4]=>[7,2,6,8,1,5,3,4]
[2,4,1,5,8,7,3,6]=>[4,2,7,1,5,3,8,6]
[2,4,1,8,6,7,3,5]=>[4,2,7,1,3,8,6,5]
[2,8,1,5,6,7,3,4]=>[8,2,7,3,1,5,6,4]
[7,3,1,2,4,5,8,6]=>[3,1,7,2,4,8,5,6]
[6,3,1,2,4,8,5,7]=>[3,1,6,2,8,4,5,7]
[8,3,1,2,4,7,5,6]=>[3,1,8,2,7,5,4,6]
[6,3,1,2,4,7,8,5]=>[3,1,6,2,8,4,7,5]
[5,3,1,2,8,4,6,7]=>[3,1,5,8,2,4,6,7]
[5,3,1,2,7,4,8,6]=>[3,1,5,7,2,8,4,6]
[8,3,1,2,6,4,5,7]=>[3,1,8,6,4,2,5,7]
[8,3,1,2,7,4,5,6]=>[3,1,8,7,4,5,2,6]
[7,3,1,2,6,4,8,5]=>[3,1,7,6,8,2,4,5]
[5,3,1,2,6,8,4,7]=>[3,1,5,8,2,6,4,7]
[5,3,1,2,8,7,4,6]=>[3,1,5,7,2,4,8,6]
[8,3,1,2,6,7,4,5]=>[3,1,8,7,4,2,6,5]
[5,3,1,2,6,7,8,4]=>[3,1,5,8,2,6,7,4]
[7,4,1,2,3,5,8,6]=>[4,1,2,7,3,8,5,6]
[6,4,1,2,3,8,5,7]=>[4,1,2,6,8,3,5,7]
[8,4,1,2,3,7,5,6]=>[4,1,2,8,7,5,3,6]
[6,4,1,2,3,7,8,5]=>[4,1,2,6,8,3,7,5]
[7,6,1,2,3,4,8,5]=>[6,1,2,3,7,8,5,4]
[5,8,1,2,3,7,4,6]=>[8,1,2,7,5,4,3,6]
[8,6,1,2,3,7,4,5]=>[6,1,2,8,3,7,4,5]
[5,4,1,2,8,3,6,7]=>[4,1,5,8,3,2,6,7]
[5,4,1,2,7,3,8,6]=>[4,1,5,7,3,8,2,6]
[8,4,1,2,6,3,5,7]=>[4,1,8,6,2,3,5,7]
[8,4,1,2,7,3,5,6]=>[4,1,8,7,2,5,3,6]
[7,4,1,2,6,3,8,5]=>[4,1,7,6,8,3,2,5]
[5,8,1,2,6,3,4,7]=>[8,1,6,3,5,2,4,7]
[5,8,1,2,7,3,4,6]=>[8,1,7,3,5,4,2,6]
[8,7,1,2,6,3,4,5]=>[7,1,6,3,4,2,8,5]
[5,7,1,2,6,3,8,4]=>[7,1,6,8,5,2,3,4]
[5,4,1,2,6,8,3,7]=>[4,1,5,8,3,6,2,7]
[5,4,1,2,8,7,3,6]=>[4,1,5,7,3,2,8,6]
[8,4,1,2,6,7,3,5]=>[4,1,8,7,2,3,6,5]
[5,8,1,2,6,7,3,4]=>[8,1,7,3,5,2,6,4]
[5,4,1,2,6,7,8,3]=>[4,1,5,8,3,6,7,2]
[4,3,1,8,2,5,6,7]=>[3,4,8,2,1,5,6,7]
[4,3,1,7,2,5,8,6]=>[3,4,7,2,1,8,5,6]
[4,3,1,6,2,8,5,7]=>[3,4,6,2,8,1,5,7]
[4,3,1,8,2,7,5,6]=>[3,4,8,2,7,5,1,6]
[4,3,1,6,2,7,8,5]=>[3,4,6,2,8,1,7,5]
[8,3,1,5,2,4,6,7]=>[3,8,5,1,2,4,6,7]
[7,3,1,5,2,4,8,6]=>[3,7,5,1,2,8,4,6]
[8,3,1,6,2,4,5,7]=>[3,8,6,1,4,2,5,7]
[7,3,1,8,2,4,5,6]=>[3,7,8,1,4,5,2,6]
[7,3,1,6,2,4,8,5]=>[3,7,6,1,8,2,4,5]
[6,3,1,5,2,8,4,7]=>[3,6,5,8,2,1,4,7]
[8,3,1,5,2,7,4,6]=>[3,8,5,7,2,4,1,6]
[8,3,1,6,2,7,4,5]=>[3,8,6,7,4,2,1,5]
[6,3,1,5,2,7,8,4]=>[3,6,5,8,2,1,7,4]
[8,4,1,5,2,3,6,7]=>[4,8,1,5,2,3,6,7]
[7,4,1,5,2,3,8,6]=>[4,7,1,5,2,8,3,6]
[8,4,1,6,2,3,5,7]=>[4,8,1,6,3,2,5,7]
[7,4,1,8,2,3,5,6]=>[4,7,1,8,3,5,2,6]
[7,4,1,6,2,3,8,5]=>[4,7,1,6,8,2,3,5]
[6,8,1,5,2,3,4,7]=>[8,5,2,3,1,6,4,7]
[8,7,1,5,2,3,4,6]=>[7,5,2,3,1,4,8,6]
[8,7,1,6,2,3,4,5]=>[7,6,2,3,4,1,8,5]
[6,7,1,5,2,3,8,4]=>[7,5,2,8,1,6,3,4]
[6,4,1,5,2,8,3,7]=>[4,6,5,8,2,3,1,7]
[8,4,1,5,2,7,3,6]=>[4,8,5,7,2,1,3,6]
[8,4,1,6,2,7,3,5]=>[4,8,6,7,1,2,3,5]
[6,8,1,5,2,7,3,4]=>[8,5,7,3,1,6,2,4]
[6,4,1,5,2,7,8,3]=>[4,6,5,8,2,3,7,1]
[4,3,1,5,8,2,6,7]=>[3,4,8,2,5,1,6,7]
[4,3,1,5,7,2,8,6]=>[3,4,7,2,5,8,1,6]
[4,3,1,8,6,2,5,7]=>[3,4,6,2,1,8,5,7]
[4,3,1,8,7,2,5,6]=>[3,4,7,2,1,5,8,6]
[4,3,1,7,6,2,8,5]=>[3,4,6,2,7,8,5,1]
[8,3,1,5,6,2,4,7]=>[3,8,6,1,2,5,4,7]
[8,3,1,5,7,2,4,6]=>[3,8,7,1,2,4,5,6]
[8,3,1,7,6,2,4,5]=>[3,8,6,1,4,7,2,5]
[7,3,1,5,6,2,8,4]=>[3,7,6,8,2,5,1,4]
[8,4,1,5,6,2,3,7]=>[4,8,1,6,2,5,3,7]
[8,4,1,5,7,2,3,6]=>[4,8,1,7,2,3,5,6]
[8,4,1,7,6,2,3,5]=>[4,8,1,6,3,7,2,5]
[7,8,1,5,6,2,3,4]=>[8,6,2,3,1,5,7,4]
[7,4,1,5,6,2,8,3]=>[4,7,6,8,2,5,3,1]
[4,3,1,5,6,8,2,7]=>[3,4,8,2,5,6,1,7]
[4,3,1,5,8,7,2,6]=>[3,4,7,2,5,1,8,6]
[4,3,1,8,6,7,2,5]=>[3,4,7,2,1,8,6,5]
[8,3,1,5,6,7,2,4]=>[3,8,7,1,2,5,6,4]
[8,4,1,5,6,7,2,3]=>[4,8,1,7,2,5,6,3]
[4,3,1,5,6,7,8,2]=>[3,4,8,2,5,6,7,1]
[2,3,8,1,4,7,5,6]=>[8,2,3,1,7,5,4,6]
[2,3,8,1,6,4,5,7]=>[8,2,3,6,4,1,5,7]
[2,3,8,1,7,4,5,6]=>[8,2,3,7,4,5,1,6]
[2,3,7,1,6,4,8,5]=>[7,2,3,6,8,1,4,5]
[2,3,5,1,8,7,4,6]=>[5,2,3,7,1,4,8,6]
[2,3,8,1,6,7,4,5]=>[8,2,3,7,4,1,6,5]
[2,8,4,1,3,5,6,7]=>[4,2,1,8,3,5,6,7]
[2,7,4,1,3,5,8,6]=>[4,2,1,7,3,8,5,6]
[2,6,4,1,3,8,5,7]=>[4,2,1,6,8,3,5,7]
[2,8,4,1,3,7,5,6]=>[4,2,1,8,7,5,3,6]
[2,6,4,1,3,7,8,5]=>[4,2,1,6,8,3,7,5]
[2,8,5,1,3,4,6,7]=>[5,2,1,3,8,4,6,7]
[2,7,5,1,3,4,8,6]=>[5,2,1,3,7,8,4,6]
[2,8,7,1,3,4,5,6]=>[7,2,1,3,4,5,8,6]
[2,6,5,1,3,8,4,7]=>[5,2,1,6,8,4,3,7]
[2,8,5,1,3,7,4,6]=>[5,2,1,8,7,3,4,6]
[2,6,8,1,3,7,4,5]=>[8,2,1,7,4,6,3,5]
[2,6,5,1,3,7,8,4]=>[5,2,1,6,8,4,7,3]
[2,5,4,1,8,3,6,7]=>[4,2,5,8,3,1,6,7]
[2,5,4,1,7,3,8,6]=>[4,2,5,7,3,8,1,6]
[2,8,4,1,6,3,5,7]=>[4,2,8,6,1,3,5,7]
[2,8,4,1,7,3,5,6]=>[4,2,8,7,1,5,3,6]
[2,7,4,1,6,3,8,5]=>[4,2,7,6,8,3,1,5]
[2,8,5,1,6,3,4,7]=>[5,2,8,1,6,3,4,7]
[2,8,5,1,7,3,4,6]=>[5,2,8,1,7,4,3,6]
[2,7,8,1,6,3,4,5]=>[8,2,6,3,4,1,7,5]
[2,7,5,1,6,3,8,4]=>[5,2,7,6,8,3,4,1]
[2,5,4,1,6,8,3,7]=>[4,2,5,8,3,6,1,7]
[2,5,4,1,8,7,3,6]=>[4,2,5,7,3,1,8,6]
[2,8,4,1,6,7,3,5]=>[4,2,8,7,1,3,6,5]
[2,8,5,1,6,7,3,4]=>[5,2,8,1,7,3,6,4]
[2,5,4,1,6,7,8,3]=>[4,2,5,8,3,6,7,1]
[7,3,4,1,2,5,8,6]=>[4,1,7,3,2,8,5,6]
[6,3,4,1,2,8,5,7]=>[4,1,6,3,8,2,5,7]
[8,3,4,1,2,7,5,6]=>[4,1,8,3,7,5,2,6]
[6,3,4,1,2,7,8,5]=>[4,1,6,3,8,2,7,5]
[7,3,5,1,2,4,8,6]=>[5,1,7,2,3,8,4,6]
[6,3,7,1,2,4,8,5]=>[7,1,6,2,8,3,4,5]
[6,3,5,1,2,8,4,7]=>[5,1,6,8,3,2,4,7]
[8,3,5,1,2,7,4,6]=>[5,1,8,7,3,4,2,6]
[6,3,8,1,2,7,4,5]=>[8,1,6,7,4,3,2,5]
[6,3,5,1,2,7,8,4]=>[5,1,6,8,3,2,7,4]
[7,5,4,1,2,3,8,6]=>[4,1,2,5,7,8,3,6]
[6,8,4,1,2,3,5,7]=>[4,1,2,8,3,6,5,7]
[6,7,4,1,2,3,8,5]=>[4,1,2,7,8,6,3,5]
[6,8,5,1,2,3,4,7]=>[5,1,2,3,8,6,4,7]
[6,7,5,1,2,3,8,4]=>[5,1,2,7,8,6,4,3]
[6,5,4,1,2,8,3,7]=>[4,1,5,6,8,2,3,7]
[8,5,4,1,2,7,3,6]=>[4,1,5,8,7,3,2,6]
[6,8,4,1,2,7,3,5]=>[4,1,8,7,2,6,3,5]
[6,8,5,1,2,7,3,4]=>[5,1,8,2,7,6,3,4]
[6,5,4,1,2,7,8,3]=>[4,1,5,6,8,2,7,3]
[5,3,4,1,8,2,6,7]=>[4,8,5,3,1,2,6,7]
[5,3,4,1,7,2,8,6]=>[4,7,5,3,1,8,2,6]
[8,3,4,1,6,2,5,7]=>[4,6,8,3,2,1,5,7]
[8,3,4,1,7,2,5,6]=>[4,7,8,3,2,5,1,6]
[7,3,4,1,6,2,8,5]=>[4,6,7,3,8,1,2,5]
[8,3,5,1,6,2,4,7]=>[5,6,8,2,3,1,4,7]
[8,3,5,1,7,2,4,6]=>[5,7,8,2,3,4,1,6]
[7,3,8,1,6,2,4,5]=>[8,6,7,2,4,1,3,5]
[7,3,5,1,6,2,8,4]=>[5,6,7,8,3,1,2,4]
[8,5,4,1,6,2,3,7]=>[4,5,2,8,6,1,3,7]
[8,5,4,1,7,2,3,6]=>[4,5,2,8,7,3,1,6]
[7,8,4,1,6,2,3,5]=>[4,8,1,6,3,2,7,5]
[7,8,5,1,6,2,3,4]=>[5,8,1,3,6,2,7,4]
[7,5,4,1,6,2,8,3]=>[4,5,7,6,8,3,1,2]
[5,3,4,1,6,8,2,7]=>[4,8,5,3,1,6,2,7]
[5,3,4,1,8,7,2,6]=>[4,7,5,3,1,2,8,6]
[8,3,4,1,6,7,2,5]=>[4,7,8,3,2,1,6,5]
[8,3,5,1,6,7,2,4]=>[5,7,8,2,3,1,6,4]
[8,5,4,1,6,7,2,3]=>[4,5,2,8,7,1,6,3]
[5,3,4,1,6,7,8,2]=>[4,8,5,3,1,6,7,2]
[2,3,4,8,1,7,5,6]=>[8,2,3,4,7,5,1,6]
[2,3,8,5,1,4,6,7]=>[5,2,3,1,8,4,6,7]
[2,3,7,5,1,4,8,6]=>[5,2,3,1,7,8,4,6]
[2,3,8,6,1,4,5,7]=>[6,2,3,1,4,8,5,7]
[2,3,7,6,1,4,8,5]=>[6,2,3,1,7,8,5,4]
[2,3,6,5,1,8,4,7]=>[5,2,3,6,8,4,1,7]
[2,3,8,5,1,7,4,6]=>[5,2,3,8,7,1,4,6]
[2,3,8,6,1,7,4,5]=>[6,2,3,8,1,7,4,5]
[2,3,6,5,1,7,8,4]=>[5,2,3,6,8,4,7,1]
[2,8,4,5,1,3,6,7]=>[5,2,1,8,4,3,6,7]
[2,7,4,5,1,3,8,6]=>[5,2,1,7,4,8,3,6]
[2,8,4,6,1,3,5,7]=>[6,2,1,8,3,4,5,7]
[2,7,4,8,1,3,5,6]=>[8,2,1,7,3,5,4,6]
[2,7,4,6,1,3,8,5]=>[6,2,1,7,8,4,3,5]
[2,8,6,5,1,3,4,7]=>[5,2,1,3,6,8,4,7]
[2,7,8,5,1,3,4,6]=>[5,2,1,3,8,4,7,6]
[2,7,8,6,1,3,4,5]=>[6,2,1,3,4,8,7,5]
[2,7,6,5,1,3,8,4]=>[5,2,1,6,7,8,3,4]
[2,6,4,5,1,8,3,7]=>[5,2,8,6,4,1,3,7]
[2,8,4,5,1,7,3,6]=>[5,2,7,8,4,3,1,6]
[2,8,4,6,1,7,3,5]=>[6,2,7,8,3,4,1,5]
[2,8,6,5,1,7,3,4]=>[5,2,6,3,8,7,1,4]
[2,6,4,5,1,7,8,3]=>[5,2,8,6,4,1,7,3]
[7,3,4,5,1,2,8,6]=>[5,1,7,3,4,8,2,6]
[7,3,4,6,1,2,8,5]=>[6,1,7,3,8,4,2,5]
[8,3,6,5,1,2,4,7]=>[5,1,6,3,8,2,4,7]
[7,3,8,5,1,2,4,6]=>[5,1,8,3,7,4,2,6]
[7,3,8,6,1,2,4,5]=>[6,1,8,3,4,7,2,5]
[7,3,6,5,1,2,8,4]=>[5,1,6,7,8,4,3,2]
[7,6,4,5,1,2,8,3]=>[5,1,8,6,4,7,2,3]
[6,3,4,5,1,8,2,7]=>[5,8,6,3,4,1,2,7]
[8,3,4,5,1,7,2,6]=>[5,7,8,3,4,2,1,6]
[8,3,4,6,1,7,2,5]=>[6,7,8,3,2,4,1,5]
[8,3,6,5,1,7,2,4]=>[5,6,7,3,8,1,2,4]
[8,6,4,5,1,7,2,3]=>[5,7,2,6,4,8,1,3]
[6,3,4,5,1,7,8,2]=>[5,8,6,3,4,1,7,2]
[2,3,4,8,6,1,5,7]=>[6,2,3,4,1,8,5,7]
[2,3,4,8,7,1,5,6]=>[7,2,3,4,1,5,8,6]
[2,3,4,7,6,1,8,5]=>[6,2,3,4,7,8,5,1]
[2,3,8,5,6,1,4,7]=>[6,2,3,1,8,5,4,7]
[2,3,8,5,7,1,4,6]=>[7,2,3,1,8,4,5,6]
[2,3,8,7,6,1,4,5]=>[6,2,3,1,4,7,8,5]
[2,3,7,5,6,1,8,4]=>[6,2,3,8,7,5,1,4]
[2,8,4,5,6,1,3,7]=>[6,2,1,8,4,5,3,7]
[2,8,4,5,7,1,3,6]=>[7,2,1,8,4,3,5,6]
[2,8,4,7,6,1,3,5]=>[6,2,1,7,4,8,3,5]
[2,8,7,5,6,1,3,4]=>[6,2,1,3,7,5,8,4]
[2,7,4,5,6,1,8,3]=>[6,2,8,7,4,5,1,3]
[8,3,4,5,7,1,2,6]=>[7,1,8,3,4,2,5,6]
[8,3,4,7,6,1,2,5]=>[6,1,7,2,3,8,4,5]
[8,3,7,5,6,1,2,4]=>[6,1,8,2,7,5,3,4]
[7,3,4,5,6,1,8,2]=>[6,8,7,3,4,5,1,2]
[2,3,4,5,8,7,1,6]=>[7,2,3,4,5,1,8,6]
[2,3,4,8,6,7,1,5]=>[7,2,3,4,1,8,6,5]
[2,3,8,5,6,7,1,4]=>[7,2,3,1,8,5,6,4]
[2,8,4,5,6,7,1,3]=>[7,2,1,8,4,5,6,3]
[3,5,2,6,1,4,8,7]=>[6,5,3,1,2,4,8,7]
[3,5,2,6,4,1,8,7]=>[4,6,3,5,1,2,8,7]
[3,5,2,7,4,8,1,6]=>[8,5,3,7,2,1,4,6]
[3,5,2,7,4,8,6,1]=>[6,5,3,8,2,7,1,4]
[4,5,7,2,3,8,6,1]=>[6,8,1,4,5,7,3,2]
[4,5,7,2,3,8,1,6]=>[8,7,2,4,5,1,3,6]
[4,5,6,2,3,1,8,7]=>[3,6,2,4,5,1,8,7]
[4,5,6,2,1,3,8,7]=>[2,6,1,4,5,3,8,7]
[3,5,1,6,4,2,8,7]=>[5,4,3,6,1,2,8,7]
[4,5,6,1,3,2,8,7]=>[6,3,1,4,5,2,8,7]
[4,5,6,3,1,2,8,7]=>[3,1,6,4,5,2,8,7]
[4,5,7,3,2,8,1,6]=>[8,3,7,4,5,1,2,6]
[4,5,7,3,2,8,6,1]=>[6,3,8,4,5,7,1,2]
[4,6,7,3,8,2,5,1]=>[5,8,7,4,2,6,3,1]
[4,6,7,3,8,2,1,5]=>[2,8,7,4,1,6,3,5]
[4,6,7,3,8,1,2,5]=>[8,1,7,4,2,6,3,5]
[4,5,7,3,1,8,2,6]=>[3,7,8,4,5,1,2,6]
[4,5,7,1,3,8,2,6]=>[7,8,1,4,5,2,3,6]
[3,5,1,7,4,8,2,6]=>[5,8,3,7,1,2,4,6]
[2,1,5,7,4,8,3,6]=>[2,1,8,7,5,3,4,6]
[2,1,5,7,4,8,6,3]=>[2,1,6,8,5,7,3,4]
[3,5,1,7,4,8,6,2]=>[5,6,3,8,1,7,2,4]
[4,5,7,1,3,8,6,2]=>[7,6,1,4,5,8,3,2]
[4,5,7,3,1,8,6,2]=>[3,7,6,4,5,8,2,1]
[4,6,7,3,8,1,5,2]=>[8,5,7,4,1,6,3,2]
[4,6,7,3,8,5,1,2]=>[5,1,8,4,7,6,2,3]
[4,6,7,3,8,5,2,1]=>[2,5,8,4,7,6,1,3]
[5,6,7,8,3,1,4,2]=>[3,8,4,2,5,6,7,1]
[5,6,7,8,1,3,4,2]=>[8,4,1,3,5,6,7,2]
[4,6,7,1,8,3,5,2]=>[7,5,8,4,3,6,1,2]
[3,6,1,7,8,4,5,2]=>[6,5,3,8,4,1,7,2]
[2,1,6,7,8,4,5,3]=>[2,1,5,8,4,6,7,3]
[2,1,6,7,8,4,3,5]=>[2,1,4,8,3,6,7,5]
[3,6,1,7,8,4,2,5]=>[6,4,3,8,2,1,7,5]
[4,6,7,1,8,3,2,5]=>[7,3,8,4,2,6,1,5]
[5,6,7,8,1,3,2,4]=>[8,3,1,2,5,6,7,4]
[4,5,7,2,1,8,3,6]=>[2,7,8,4,5,3,1,6]
[4,6,7,2,8,1,3,5]=>[8,7,1,4,3,6,2,5]
[4,6,7,2,8,3,1,5]=>[3,8,7,4,2,6,1,5]
[4,6,7,2,8,3,5,1]=>[5,7,8,4,3,6,2,1]
[3,6,2,7,8,4,5,1]=>[5,6,3,8,4,2,7,1]
[3,6,2,7,8,4,1,5]=>[4,8,3,6,2,1,7,5]
[3,6,2,7,8,1,4,5]=>[8,6,3,1,4,2,7,5]
[3,5,2,7,1,8,4,6]=>[7,5,3,8,2,4,1,6]
[3,4,2,1,7,8,5,6]=>[2,4,3,1,8,5,7,6]
[3,4,1,2,7,8,6,5]=>[4,1,3,2,6,8,7,5]
[3,5,2,7,1,8,6,4]=>[7,5,3,6,2,8,1,4]
[3,6,2,7,8,1,5,4]=>[8,6,3,5,1,2,7,4]
[3,6,2,7,8,5,1,4]=>[5,8,3,2,6,1,7,4]
[3,6,2,7,8,5,4,1]=>[4,5,3,8,6,2,7,1]
[4,6,7,2,8,5,3,1]=>[3,5,8,4,7,6,2,1]
[4,6,7,2,8,5,1,3]=>[5,8,2,4,7,6,1,3]
[4,6,7,2,8,1,5,3]=>[8,7,5,4,1,6,2,3]
[4,5,7,2,1,8,6,3]=>[2,7,6,4,5,8,1,3]
[4,5,7,1,2,8,6,3]=>[7,1,6,4,5,8,2,3]
[3,5,1,7,2,8,6,4]=>[5,7,3,6,1,8,2,4]
[2,1,5,7,3,8,6,4]=>[2,1,7,6,5,8,3,4]
[2,1,6,7,8,3,5,4]=>[2,1,8,5,3,6,7,4]
[3,6,1,7,8,2,5,4]=>[6,8,3,5,2,1,7,4]
[4,6,7,1,8,2,5,3]=>[7,8,5,4,2,6,1,3]
[5,6,7,8,1,2,4,3]=>[8,1,4,2,5,6,7,3]
[5,6,7,8,2,1,4,3]=>[2,8,4,1,5,6,7,3]
[5,6,7,8,2,4,1,3]=>[4,8,1,2,5,6,7,3]
[5,6,7,8,2,4,3,1]=>[3,4,8,1,5,6,7,2]
[5,6,7,8,1,4,2,3]=>[8,4,2,1,5,6,7,3]
[4,6,7,1,8,5,2,3]=>[7,5,2,4,8,6,1,3]
[3,6,1,7,8,5,2,4]=>[6,5,3,2,8,1,7,4]
[2,1,6,7,8,5,3,4]=>[2,1,5,3,8,6,7,4]
[3,6,1,7,8,5,4,2]=>[6,4,3,5,8,1,7,2]
[4,6,7,1,8,5,3,2]=>[7,3,5,4,8,6,1,2]
[5,6,7,8,1,4,3,2]=>[8,3,4,1,5,6,7,2]
[5,6,7,8,4,1,3,2]=>[4,3,1,8,5,6,7,2]
[6,5,8,7,3,4,1,2]=>[4,1,7,3,6,5,8,2]
[3,6,7,4,5,8,1,2]=>[8,1,3,7,4,6,5,2]
[2,6,7,4,5,1,8,3]=>[5,2,8,7,4,6,1,3]
[1,6,7,4,5,2,3,8]=>[1,5,2,7,4,6,3,8]
[1,5,4,7,6,2,3,8]=>[1,6,2,5,4,7,3,8]
[2,5,4,7,6,1,8,3]=>[6,2,7,5,4,8,3,1]
[3,5,4,7,6,8,1,2]=>[8,1,3,5,4,7,6,2]
[4,5,3,7,8,6,1,2]=>[6,1,5,4,3,8,7,2]
[5,4,3,8,7,6,1,2]=>[6,1,4,5,3,7,8,2]
[6,4,8,3,7,5,1,2]=>[5,1,7,8,6,2,4,3]
[6,3,8,4,5,7,1,2]=>[7,1,6,8,4,3,5,2]
[5,3,4,8,6,7,1,2]=>[7,1,5,3,4,8,6,2]
[4,3,5,6,8,7,1,2]=>[7,1,4,3,5,6,8,2]
[3,2,5,6,1,8,7,4]=>[6,3,2,7,5,1,8,4]
[4,2,5,6,8,1,7,3]=>[8,4,7,2,5,6,1,3]
[5,2,4,8,6,1,7,3]=>[6,5,8,2,4,7,3,1]
[6,2,8,4,5,1,7,3]=>[5,6,7,8,4,2,1,3]
[7,8,2,4,5,1,6,3]=>[5,8,6,2,4,1,7,3]
[7,8,1,4,5,2,3,6]=>[8,5,2,1,4,3,7,6]
[6,1,8,4,5,2,3,7]=>[6,5,2,8,4,1,3,7]
[5,1,4,8,6,2,3,7]=>[5,6,2,1,4,8,3,7]
[4,1,3,2,8,6,5,7]=>[4,3,1,2,6,8,5,7]
[5,1,3,8,2,6,4,7]=>[5,8,1,6,3,2,4,7]
[6,1,8,3,2,5,4,7]=>[6,3,8,5,2,1,4,7]
[7,8,1,3,2,5,4,6]=>[8,3,1,5,2,4,7,6]
[7,8,2,3,1,5,6,4]=>[3,8,2,6,1,5,7,4]
[6,2,8,3,1,5,7,4]=>[3,8,6,7,2,1,5,4]
[5,2,3,8,1,6,7,4]=>[8,5,2,7,3,1,6,4]
[6,3,8,2,1,7,5,4]=>[2,8,6,5,7,3,1,4]
[7,8,3,2,1,6,5,4]=>[2,3,8,5,6,1,7,4]
[7,8,4,2,6,1,5,3]=>[6,4,8,5,1,3,7,2]
[5,4,2,8,7,1,6,3]=>[7,4,5,6,3,1,8,2]
[4,5,2,7,8,1,6,3]=>[8,5,6,4,2,1,7,3]
[2,5,3,7,1,6,8,4]=>[7,2,5,8,3,1,6,4]
[1,5,3,7,2,6,4,8]=>[1,7,5,6,3,2,4,8]
[1,6,7,3,2,5,4,8]=>[1,3,7,5,2,6,4,8]
[2,6,7,3,1,5,8,4]=>[3,2,7,8,1,6,5,4]
[3,6,7,2,1,8,5,4]=>[2,7,3,5,8,6,1,4]
[7,8,5,6,2,1,4,3]=>[2,6,4,1,8,5,7,3]
[6,5,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,4]
[5,4,1,8,7,2,3,6]=>[4,5,1,7,2,3,8,6]
[6,4,8,1,7,2,3,5]=>[8,7,2,6,3,4,1,5]
[7,8,3,1,2,6,4,5]=>[3,1,8,6,4,2,7,5]
[5,3,1,8,2,7,4,6]=>[3,5,8,7,2,4,1,6]
[4,3,1,2,8,7,5,6]=>[3,1,4,2,7,5,8,6]
[4,2,1,3,8,5,7,6]=>[2,4,1,3,8,7,5,6]
[5,2,1,8,3,4,7,6]=>[2,5,8,3,1,7,4,6]
[6,2,8,1,3,4,7,5]=>[8,6,1,3,7,2,4,5]
[7,8,2,1,3,4,6,5]=>[2,8,1,3,6,4,7,5]
[4,3,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]
[5,3,1,6,2,4,8,7]=>[3,5,6,1,2,4,8,7]
[6,3,1,5,2,4,8,7]=>[3,6,5,1,2,4,8,7]
[7,3,1,5,2,8,4,6]=>[3,7,5,8,2,4,1,6]
[8,4,5,1,2,7,3,6]=>[5,1,7,8,4,3,2,6]
[7,4,5,1,2,8,3,6]=>[5,1,8,7,4,3,2,6]
[6,4,5,1,2,3,8,7]=>[5,1,2,6,4,3,8,7]
[5,4,6,1,2,3,8,7]=>[6,1,2,5,4,3,8,7]
[2,1,6,5,3,4,8,7]=>[2,1,5,3,6,4,8,7]
[3,6,1,5,2,4,8,7]=>[6,5,3,2,1,4,8,7]
[4,6,5,1,2,3,8,7]=>[5,1,2,4,6,3,8,7]
[5,6,4,1,2,3,8,7]=>[4,1,2,6,5,3,8,7]
[6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7]
[7,5,4,1,2,8,3,6]=>[4,1,5,7,8,3,2,6]
[8,6,4,1,7,2,3,5]=>[4,6,2,8,3,7,1,5]
[7,6,4,1,8,2,3,5]=>[4,6,2,7,3,8,1,5]
[6,7,4,1,8,2,3,5]=>[4,7,1,8,3,6,2,5]
[5,7,4,1,2,8,3,6]=>[4,1,7,8,5,2,3,6]
[4,7,5,1,2,8,3,6]=>[5,1,7,4,8,2,3,6]
[3,7,1,5,2,8,4,6]=>[7,5,3,8,1,4,2,6]
[2,1,7,5,3,8,4,6]=>[2,1,5,7,8,3,4,6]
[2,1,8,5,3,7,4,6]=>[2,1,5,8,7,3,4,6]
[3,8,1,5,2,7,4,6]=>[8,5,3,7,1,4,2,6]
[4,8,5,1,2,7,3,6]=>[5,1,8,4,7,2,3,6]
[5,8,4,1,2,7,3,6]=>[4,1,8,7,5,2,3,6]
[6,8,4,1,7,2,3,5]=>[4,8,1,7,3,6,2,5]
[8,7,4,1,6,2,3,5]=>[4,7,1,6,3,2,8,5]
[5,8,6,7,1,2,3,4]=>[7,1,2,3,5,8,6,4]
[4,8,6,1,7,2,3,5]=>[6,8,1,4,3,7,2,5]
[3,8,1,6,7,2,4,5]=>[8,7,3,2,4,1,6,5]
[2,1,8,6,7,3,4,5]=>[2,1,7,3,4,8,6,5]
[2,1,7,6,8,3,4,5]=>[2,1,8,3,4,7,6,5]
[3,7,1,6,8,2,4,5]=>[7,8,3,2,4,1,6,5]
[4,7,6,1,8,2,3,5]=>[6,7,1,4,3,8,2,5]
[5,7,6,8,1,2,3,4]=>[8,1,2,3,5,7,6,4]
[5,4,7,1,2,8,3,6]=>[7,1,8,5,4,3,2,6]
[6,4,7,1,8,2,3,5]=>[7,8,2,6,3,4,1,5]
[7,4,6,1,8,2,3,5]=>[6,8,2,7,3,4,1,5]
[8,4,6,1,7,2,3,5]=>[6,7,2,8,3,4,1,5]
[8,3,1,6,7,2,4,5]=>[3,8,7,1,4,2,6,5]
[7,3,1,6,8,2,4,5]=>[3,7,8,1,4,2,6,5]
[6,3,1,7,8,2,4,5]=>[3,6,8,1,4,2,7,5]
[5,3,1,7,2,8,4,6]=>[3,5,7,8,2,4,1,6]
[4,3,1,2,7,8,5,6]=>[3,1,4,2,8,5,7,6]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,8,6]
[3,4,1,2,8,7,5,6]=>[4,1,3,2,7,5,8,6]
[6,3,1,8,7,2,4,5]=>[3,6,7,1,4,2,8,5]
[7,3,1,8,6,2,4,5]=>[3,7,6,1,4,8,2,5]
[8,4,7,1,6,2,3,5]=>[7,6,2,8,3,1,4,5]
[7,4,8,1,6,2,3,5]=>[8,6,2,7,3,1,4,5]
[5,4,8,1,2,7,3,6]=>[8,1,7,5,4,3,2,6]
[4,5,8,1,2,7,3,6]=>[8,1,7,4,5,3,2,6]
[3,5,1,8,2,7,4,6]=>[5,8,3,7,1,4,2,6]
[2,1,5,8,3,7,4,6]=>[2,1,8,7,5,4,3,6]
[2,1,6,8,7,3,4,5]=>[2,1,7,3,4,6,8,5]
[3,6,1,8,7,2,4,5]=>[6,7,3,2,4,1,8,5]
[4,6,8,1,7,2,3,5]=>[8,7,2,4,3,6,1,5]
[5,6,8,7,1,2,3,4]=>[7,1,2,3,5,6,8,4]
[7,5,8,6,1,2,3,4]=>[6,1,2,3,8,7,4,5]
[8,5,7,6,1,2,3,4]=>[6,1,2,3,7,8,4,5]
[5,7,8,6,1,2,3,4]=>[6,1,2,3,5,8,7,4]
[4,7,8,1,6,2,3,5]=>[8,6,2,4,3,1,7,5]
[3,7,1,8,6,2,4,5]=>[7,6,3,2,4,8,1,5]
[2,1,7,8,6,3,4,5]=>[2,1,6,3,4,8,7,5]
[2,1,8,7,6,3,4,5]=>[2,1,6,3,4,7,8,5]
[3,8,1,7,6,2,4,5]=>[8,6,3,2,4,7,1,5]
[4,8,7,1,6,2,3,5]=>[7,6,2,4,3,1,8,5]
[5,8,7,6,1,2,3,4]=>[6,1,2,3,5,7,8,4]
[6,8,7,5,1,2,3,4]=>[5,1,2,3,7,6,8,4]
[6,4,7,3,8,5,1,2]=>[5,1,8,7,6,2,4,3]
[6,4,7,3,5,8,1,2]=>[8,1,7,6,3,4,5,2]
[6,4,7,2,5,1,8,3]=>[5,7,8,6,2,4,1,3]
[5,4,2,7,6,1,3,8]=>[6,4,1,5,2,7,3,8]
[5,4,2,7,6,1,8,3]=>[6,4,5,7,3,8,2,1]
[5,4,3,7,6,8,1,2]=>[8,1,4,5,3,7,6,2]
[5,4,3,7,8,6,1,2]=>[6,1,4,5,3,8,7,2]
[6,4,8,3,5,7,1,2]=>[7,1,8,6,3,4,5,2]
[5,4,3,8,6,7,1,2]=>[7,1,4,5,3,8,6,2]
[5,4,3,6,8,7,1,2]=>[7,1,4,5,3,6,8,2]
[5,4,2,6,7,1,8,3]=>[7,4,5,8,3,6,1,2]
[5,4,2,6,7,1,3,8]=>[7,4,1,5,2,6,3,8]
[5,3,2,6,1,7,4,8]=>[6,3,5,7,2,1,4,8]
[5,3,2,6,1,7,8,4]=>[6,3,5,8,2,1,7,4]
[5,3,2,6,1,8,7,4]=>[6,3,5,7,2,1,8,4]
[5,4,2,6,8,1,7,3]=>[8,4,5,7,3,6,1,2]
[5,4,2,8,6,1,7,3]=>[6,4,5,8,3,7,2,1]
[6,4,8,2,5,1,7,3]=>[5,8,7,6,2,4,1,3]
[7,8,4,2,5,1,6,3]=>[5,4,8,6,3,1,7,2]
[7,8,4,2,5,1,3,6]=>[5,4,1,8,2,3,7,6]
[5,4,2,8,6,1,3,7]=>[6,4,1,5,2,8,3,7]
[5,3,2,6,1,8,4,7]=>[6,3,5,8,2,1,4,7]
[4,3,2,1,6,8,5,7]=>[2,3,4,1,8,6,5,7]
[4,3,2,1,8,6,5,7]=>[2,3,4,1,6,8,5,7]
[5,3,2,8,1,6,4,7]=>[8,3,5,6,2,1,4,7]
[6,3,8,2,1,5,4,7]=>[2,8,6,5,1,3,4,7]
[7,8,3,2,1,5,4,6]=>[2,3,8,5,1,4,7,6]
[7,8,3,2,1,5,6,4]=>[2,3,8,6,1,5,7,4]
[6,3,8,2,1,5,7,4]=>[2,8,6,7,1,3,5,4]
[5,3,2,8,1,6,7,4]=>[8,3,5,7,2,1,6,4]
[5,4,2,7,8,1,6,3]=>[8,4,5,6,3,1,7,2]
[5,3,2,7,1,8,6,4]=>[7,3,5,6,2,8,1,4]
[5,3,2,7,1,6,8,4]=>[7,3,5,8,2,1,6,4]
[5,3,2,7,1,6,4,8]=>[7,3,5,6,2,1,4,8]
[6,3,7,2,1,5,4,8]=>[2,7,6,5,1,3,4,8]
[6,3,7,2,1,5,8,4]=>[2,7,6,8,1,3,5,4]
[6,3,7,2,1,8,5,4]=>[2,7,6,5,8,3,1,4]
[6,4,7,2,8,1,5,3]=>[8,7,5,6,1,4,2,3]
[6,5,7,8,2,1,4,3]=>[2,8,4,1,6,5,7,3]
[6,5,8,7,2,1,3,4]=>[2,7,1,3,6,5,8,4]
[6,3,7,2,1,8,4,5]=>[2,7,6,8,4,3,1,5]
[6,3,7,2,1,4,8,5]=>[2,7,6,1,8,3,4,5]
[6,3,7,2,1,4,5,8]=>[2,7,6,1,4,3,5,8]
[5,3,2,7,1,4,8,6]=>[7,3,5,1,2,8,4,6]
[5,4,2,8,7,1,3,6]=>[7,4,1,5,2,3,8,6]
[7,8,4,2,6,1,3,5]=>[6,4,1,8,3,2,7,5]
[7,8,3,2,1,6,4,5]=>[2,3,8,6,4,1,7,5]
[6,3,8,2,1,7,4,5]=>[2,8,6,7,4,3,1,5]
[5,3,2,8,1,7,4,6]=>[8,3,5,7,2,4,1,6]
[4,3,2,1,8,7,5,6]=>[2,3,4,1,7,5,8,6]
[4,3,2,1,7,5,8,6]=>[2,3,4,1,7,8,5,6]
[4,3,2,1,7,5,6,8]=>[2,3,4,1,7,5,6,8]
[4,3,2,1,8,5,7,6]=>[2,3,4,1,8,7,5,6]
[5,3,2,8,1,4,7,6]=>[8,3,5,1,2,7,4,6]
[6,3,8,2,1,4,7,5]=>[2,8,6,1,7,3,4,5]
[7,8,3,2,1,4,6,5]=>[2,3,8,1,6,4,7,5]
[6,3,8,2,1,4,5,7]=>[2,8,6,1,4,3,5,7]
[4,3,2,1,8,5,6,7]=>[2,3,4,1,8,5,6,7]
[4,3,2,1,5,8,6,7]=>[2,3,4,1,5,8,6,7]
[7,8,5,6,1,2,4,3]=>[6,1,4,2,8,5,7,3]
[7,8,4,1,6,2,5,3]=>[4,8,6,5,3,2,7,1]
[7,8,1,4,6,2,5,3]=>[8,6,5,1,2,4,7,3]
[6,1,8,4,7,2,5,3]=>[6,7,5,8,2,1,4,3]
[1,6,8,4,7,2,5,3]=>[1,7,5,8,2,6,4,3]
[1,6,8,3,2,7,5,4]=>[1,3,8,5,7,6,2,4]
[6,1,8,3,2,7,5,4]=>[6,3,8,5,7,1,2,4]
[7,8,1,3,2,6,5,4]=>[8,3,1,5,6,2,7,4]
[7,8,3,1,2,6,5,4]=>[3,1,8,5,6,2,7,4]
[7,8,3,4,6,5,1,2]=>[5,1,6,2,8,4,7,3]
[7,8,2,4,6,1,5,3]=>[6,8,5,2,1,4,7,3]
[7,8,2,3,1,6,5,4]=>[3,8,2,5,6,1,7,4]
[7,8,2,1,3,6,5,4]=>[2,8,1,5,6,3,7,4]
[7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,7,4]
[6,1,8,2,3,7,5,4]=>[6,8,2,5,7,1,3,4]
[1,6,8,2,3,7,5,4]=>[1,8,2,5,7,6,3,4]
[1,5,2,8,3,7,6,4]=>[1,5,8,6,2,7,3,4]
[5,1,2,8,3,7,6,4]=>[5,1,8,6,2,7,3,4]
[5,2,1,8,3,7,6,4]=>[2,5,8,6,1,7,3,4]
[6,2,8,1,3,7,5,4]=>[8,6,1,5,7,2,3,4]
[6,2,8,3,1,7,5,4]=>[3,8,6,5,7,1,2,4]
[6,2,8,4,7,1,5,3]=>[7,6,5,8,1,2,4,3]
[6,3,8,4,7,5,1,2]=>[5,1,7,6,8,4,2,3]
[3,6,8,4,7,5,1,2]=>[5,1,3,7,8,6,2,4]
[2,6,8,4,7,1,5,3]=>[7,2,5,8,1,6,4,3]
[2,6,8,3,1,7,5,4]=>[3,2,8,5,7,6,1,4]
[2,6,8,1,3,7,5,4]=>[8,2,1,5,7,6,3,4]
[2,5,1,8,3,7,6,4]=>[5,2,8,6,1,7,3,4]
[1,2,5,8,3,7,6,4]=>[1,2,8,6,5,7,3,4]
[2,4,1,3,8,7,6,5]=>[4,2,1,3,6,7,8,5]
[2,5,3,8,1,7,6,4]=>[8,2,5,6,3,7,1,4]
[2,5,4,8,7,1,6,3]=>[7,2,6,5,4,1,8,3]
[3,5,4,8,7,6,1,2]=>[6,1,3,5,4,7,8,2]
[5,3,4,8,7,6,1,2]=>[6,1,5,3,4,7,8,2]
[5,2,4,8,7,1,6,3]=>[7,5,6,2,4,1,8,3]
[5,2,3,8,1,7,6,4]=>[8,5,2,6,3,7,1,4]
[4,2,1,3,8,7,6,5]=>[2,4,1,3,6,7,8,5]
[4,1,2,3,8,7,6,5]=>[4,1,2,3,6,7,8,5]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5]
[4,1,3,2,8,7,6,5]=>[4,3,1,2,6,7,8,5]
[4,3,1,2,8,7,6,5]=>[3,1,4,2,6,7,8,5]
[6,3,8,1,2,7,5,4]=>[8,1,6,5,7,3,2,4]
[5,3,1,8,2,7,6,4]=>[3,5,8,6,2,7,1,4]
[5,1,3,8,2,7,6,4]=>[5,8,1,6,3,7,2,4]
[1,5,3,8,2,7,6,4]=>[1,8,5,6,3,7,2,4]
[1,5,4,8,7,2,6,3]=>[1,7,6,5,4,2,8,3]
[5,1,4,8,7,2,6,3]=>[5,7,6,1,4,2,8,3]
[5,4,1,8,7,2,6,3]=>[4,5,7,6,2,3,8,1]
[6,4,8,1,7,2,5,3]=>[8,7,5,6,2,4,1,3]
[6,5,8,7,1,2,4,3]=>[7,1,4,2,6,5,8,3]
[5,6,8,7,3,4,1,2]=>[4,1,7,3,5,6,8,2]
[5,6,8,7,2,1,4,3]=>[2,7,4,1,5,6,8,3]
[4,5,1,8,7,2,6,3]=>[5,7,6,4,1,2,8,3]
[4,1,5,8,7,2,6,3]=>[4,7,6,1,5,2,8,3]
[1,4,5,8,7,2,6,3]=>[1,7,6,4,5,2,8,3]
[1,3,5,8,2,7,6,4]=>[1,8,3,6,5,7,2,4]
[3,1,5,8,2,7,6,4]=>[3,8,1,6,5,7,2,4]
[3,6,8,1,2,7,5,4]=>[8,1,3,5,7,6,2,4]
[3,6,8,2,1,7,5,4]=>[2,8,3,5,7,6,1,4]
[4,6,8,2,7,1,5,3]=>[7,8,5,4,1,6,2,3]
[4,6,8,3,7,5,1,2]=>[5,1,7,4,8,6,2,3]
[4,5,3,8,7,6,1,2]=>[6,1,5,4,3,7,8,2]
[4,5,2,8,7,1,6,3]=>[7,5,6,4,2,1,8,3]
[3,5,2,8,1,7,6,4]=>[8,5,3,6,2,7,1,4]
[3,1,4,2,8,7,6,5]=>[3,4,1,2,6,7,8,5]
[3,1,2,4,8,7,6,5]=>[3,1,2,4,6,7,8,5]
[3,2,5,8,1,7,6,4]=>[8,3,2,6,5,7,1,4]
[4,2,5,8,7,1,6,3]=>[7,4,6,2,5,1,8,3]
[4,3,5,8,7,6,1,2]=>[6,1,4,3,5,7,8,2]
[3,4,5,8,7,6,1,2]=>[6,1,3,4,5,7,8,2]
[2,4,5,8,7,1,6,3]=>[7,2,6,4,5,1,8,3]
[2,3,5,8,1,7,6,4]=>[8,2,3,6,5,7,1,4]
[4,1,3,2,6,5,8,7]=>[4,3,1,2,6,5,8,7]
[5,1,3,2,6,4,8,7]=>[5,3,1,6,2,4,8,7]
[6,1,3,2,5,4,8,7]=>[6,3,1,5,2,4,8,7]
[7,1,3,2,5,4,8,6]=>[7,3,1,5,2,8,4,6]
[8,1,3,2,5,4,7,6]=>[8,3,1,5,2,7,4,6]
[8,1,4,2,5,3,7,6]=>[8,4,5,1,2,7,3,6]
[7,1,4,2,5,3,8,6]=>[7,4,5,1,2,8,3,6]
[6,1,4,2,5,3,8,7]=>[6,4,5,1,2,3,8,7]
[5,1,4,2,6,3,8,7]=>[5,4,6,1,2,3,8,7]
[2,1,6,3,5,4,8,7]=>[2,1,6,5,3,4,8,7]
[3,1,6,2,5,4,8,7]=>[3,6,1,5,2,4,8,7]
[4,1,6,2,5,3,8,7]=>[4,6,5,1,2,3,8,7]
[6,2,5,1,4,3,8,7]=>[5,6,4,1,2,3,8,7]
[5,2,6,1,4,3,8,7]=>[6,5,4,1,2,3,8,7]
[5,2,7,1,4,3,8,6]=>[7,5,4,1,2,8,3,6]
[5,2,8,1,4,3,7,6]=>[8,5,4,1,2,7,3,6]
[6,2,8,1,4,3,7,5]=>[8,6,4,1,7,2,3,5]
[6,2,7,1,4,3,8,5]=>[7,6,4,1,8,2,3,5]
[7,2,6,1,4,3,8,5]=>[6,7,4,1,8,2,3,5]
[7,2,5,1,4,3,8,6]=>[5,7,4,1,2,8,3,6]
[4,1,7,2,5,3,8,6]=>[4,7,5,1,2,8,3,6]
[3,1,7,2,5,4,8,6]=>[3,7,1,5,2,8,4,6]
[2,1,7,3,5,4,8,6]=>[2,1,7,5,3,8,4,6]
[2,1,8,3,5,4,7,6]=>[2,1,8,5,3,7,4,6]
[3,1,8,2,5,4,7,6]=>[3,8,1,5,2,7,4,6]
[4,1,8,2,5,3,7,6]=>[4,8,5,1,2,7,3,6]
[8,2,5,1,4,3,7,6]=>[5,8,4,1,2,7,3,6]
[8,2,6,1,4,3,7,5]=>[6,8,4,1,7,2,3,5]
[7,1,4,3,8,2,6,5]=>[7,8,4,1,6,2,3,5]
[8,1,4,3,7,2,6,5]=>[8,7,4,1,6,2,3,5]
[8,1,5,3,7,2,6,4]=>[8,7,5,6,1,2,3,4]
[7,1,5,3,8,2,6,4]=>[7,8,5,6,1,2,3,4]
[8,2,6,1,5,3,7,4]=>[6,8,5,7,1,2,3,4]
[5,1,8,2,6,3,7,4]=>[5,8,6,7,1,2,3,4]
[4,1,8,2,6,3,7,5]=>[4,8,6,1,7,2,3,5]
[3,1,8,2,6,4,7,5]=>[3,8,1,6,7,2,4,5]
[2,1,8,3,6,4,7,5]=>[2,1,8,6,7,3,4,5]
[2,1,7,3,6,4,8,5]=>[2,1,7,6,8,3,4,5]
[4,1,7,2,6,3,8,5]=>[4,7,6,1,8,2,3,5]
[5,1,7,2,6,3,8,4]=>[5,7,6,8,1,2,3,4]
[7,2,6,1,5,3,8,4]=>[6,7,5,8,1,2,3,4]
[6,2,7,1,5,3,8,4]=>[7,6,5,8,1,2,3,4]
[6,2,8,1,5,3,7,4]=>[8,6,5,7,1,2,3,4]
[8,1,5,2,6,3,7,4]=>[8,5,6,7,1,2,3,4]
[6,1,5,2,7,3,8,4]=>[6,5,7,8,1,2,3,4]
[6,1,4,2,7,3,8,5]=>[6,4,7,1,8,2,3,5]
[8,1,4,2,6,3,7,5]=>[8,4,6,1,7,2,3,5]
[8,1,3,2,6,4,7,5]=>[8,3,1,6,7,2,4,5]
[7,1,3,2,6,4,8,5]=>[7,3,1,6,8,2,4,5]
[6,1,3,2,7,4,8,5]=>[6,3,1,7,8,2,4,5]
[5,1,3,2,7,4,8,6]=>[5,3,1,7,2,8,4,6]
[4,1,3,2,7,5,8,6]=>[4,3,1,2,7,8,5,6]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,8,7,5,6]
[3,1,4,2,8,5,7,6]=>[3,4,1,2,8,7,5,6]
[4,1,3,2,8,5,7,6]=>[4,3,1,2,8,7,5,6]
[5,1,3,2,8,4,7,6]=>[5,3,1,8,2,7,4,6]
[6,1,3,2,8,4,7,5]=>[6,3,1,8,7,2,4,5]
[8,4,7,1,3,2,6,5]=>[7,3,1,8,6,2,4,5]
[7,4,8,1,3,2,6,5]=>[8,3,1,7,6,2,4,5]
[7,3,8,1,4,2,6,5]=>[8,4,7,1,6,2,3,5]
[8,3,7,1,4,2,6,5]=>[7,4,8,1,6,2,3,5]
[6,1,4,2,8,3,7,5]=>[6,4,8,1,7,2,3,5]
[5,1,4,2,8,3,7,6]=>[5,4,8,1,2,7,3,6]
[4,1,5,2,8,3,7,6]=>[4,5,8,1,2,7,3,6]
[3,1,5,2,8,4,7,6]=>[3,5,1,8,2,7,4,6]
[2,1,5,3,8,4,7,6]=>[2,1,5,8,3,7,4,6]
[2,1,6,3,8,4,7,5]=>[2,1,6,8,7,3,4,5]
[3,1,6,2,8,4,7,5]=>[3,6,1,8,7,2,4,5]
[4,1,6,2,8,3,7,5]=>[4,6,8,1,7,2,3,5]
[5,1,6,2,8,3,7,4]=>[5,6,8,7,1,2,3,4]
[6,1,5,2,8,3,7,4]=>[6,5,8,7,1,2,3,4]
[8,3,7,1,5,2,6,4]=>[7,5,8,6,1,2,3,4]
[7,3,8,1,5,2,6,4]=>[8,5,7,6,1,2,3,4]
[6,2,7,3,8,1,5,4]=>[8,6,7,5,1,2,3,4]
[6,2,8,3,7,1,5,4]=>[7,6,8,5,1,2,3,4]
[8,3,7,2,6,1,5,4]=>[6,7,8,5,1,2,3,4]
[5,1,8,3,7,2,6,4]=>[5,7,8,6,1,2,3,4]
[4,1,8,3,7,2,6,5]=>[4,7,8,1,6,2,3,5]
[3,1,8,4,7,2,6,5]=>[3,7,1,8,6,2,4,5]
[2,1,8,4,7,3,6,5]=>[2,1,7,8,6,3,4,5]
[2,1,7,4,8,3,6,5]=>[2,1,8,7,6,3,4,5]
[3,1,7,4,8,2,6,5]=>[3,8,1,7,6,2,4,5]
[4,1,7,3,8,2,6,5]=>[4,8,7,1,6,2,3,5]
[5,1,7,3,8,2,6,4]=>[5,8,7,6,1,2,3,4]
[7,3,8,2,6,1,5,4]=>[6,8,7,5,1,2,3,4]
[8,2,6,3,7,1,5,4]=>[7,8,6,5,1,2,3,4]
[7,2,6,3,8,1,5,4]=>[8,7,6,5,1,2,3,4]
[3,4,2,6,8,1,5,7]=>[8,4,3,2,1,6,5,7]
[5,3,6,2,8,1,4,7]=>[8,6,5,1,3,2,4,7]
[5,3,6,2,4,8,1,7]=>[8,6,5,2,3,4,1,7]
[5,7,3,8,2,4,1,6]=>[4,8,7,2,5,1,3,6]
[5,7,3,8,2,4,6,1]=>[6,8,7,2,5,4,3,1]
[7,4,2,5,8,3,6,1]=>[6,4,7,8,3,2,5,1]
[7,4,2,5,8,3,1,6]=>[3,8,4,7,1,2,5,6]
[4,5,2,6,3,8,1,7]=>[8,5,6,4,2,3,1,7]
[4,5,2,1,6,8,3,7]=>[2,5,8,4,1,6,3,7]
[5,3,1,6,8,2,4,7]=>[3,5,8,1,2,6,4,7]
[5,6,2,8,1,3,4,7]=>[8,6,1,3,5,2,4,7]
[3,5,6,1,4,8,2,7]=>[6,8,3,1,5,4,2,7]
[4,1,5,6,3,8,2,7]=>[4,8,6,1,5,3,2,7]
[4,5,1,6,3,8,2,7]=>[5,8,6,4,1,3,2,7]
[4,5,6,3,2,8,1,7]=>[8,3,6,4,5,2,1,7]
[7,4,5,3,8,2,1,6]=>[2,8,5,7,4,1,3,6]
[7,4,5,3,8,2,6,1]=>[6,8,5,7,4,2,3,1]
[6,7,4,8,3,2,5,1]=>[5,3,8,7,2,6,4,1]
[6,7,4,8,3,2,1,5]=>[2,3,8,7,1,6,4,5]
[6,7,4,1,8,3,2,5]=>[4,3,7,8,1,6,2,5]
[7,4,5,3,1,8,2,6]=>[3,5,8,7,4,1,2,6]
[4,7,1,5,8,3,2,6]=>[7,3,8,4,1,2,5,6]
[5,3,7,8,1,4,2,6]=>[8,4,5,1,3,2,7,6]
[7,5,8,2,4,6,1,3]=>[6,8,1,2,7,4,5,3]
[7,3,5,8,1,4,6,2]=>[8,6,7,1,3,4,5,2]
[4,5,1,7,8,3,6,2]=>[5,6,8,4,1,3,7,2]
[7,4,1,5,8,3,6,2]=>[4,7,6,8,2,1,5,3]
[6,7,4,3,8,1,5,2]=>[8,5,4,7,1,6,3,2]
[6,7,4,8,3,1,5,2]=>[3,8,5,7,2,6,4,1]
[6,7,4,8,3,5,2,1]=>[2,5,8,7,3,6,4,1]
[5,6,7,3,8,4,2,1]=>[2,4,8,7,5,6,1,3]
[5,6,7,3,1,8,4,2]=>[3,7,4,8,5,6,2,1]
[5,6,1,7,3,8,4,2]=>[6,4,8,7,5,1,2,3]
[5,1,6,7,3,8,4,2]=>[5,4,8,7,1,6,2,3]
[6,4,7,1,8,3,5,2]=>[7,5,8,6,3,4,1,2]
[6,7,8,3,1,4,5,2]=>[3,8,5,2,4,6,7,1]
[6,7,2,8,4,5,1,3]=>[5,7,1,8,4,6,2,3]
[6,7,2,8,4,1,3,5]=>[4,8,2,7,3,6,1,5]
[6,1,7,4,8,3,2,5]=>[6,3,8,7,2,1,4,5]
[5,1,6,7,3,2,8,4]=>[5,3,7,8,1,6,2,4]
[5,6,1,7,3,2,8,4]=>[6,3,7,8,5,1,2,4]
[5,6,7,3,2,1,8,4]=>[2,3,7,8,5,6,1,4]
[5,6,7,3,2,8,4,1]=>[4,3,8,7,5,6,1,2]
[5,6,2,7,3,8,4,1]=>[4,8,6,7,5,3,1,2]
[5,6,2,7,3,1,8,4]=>[3,7,6,8,5,1,2,4]
[5,6,2,1,7,3,8,4]=>[2,6,7,8,5,1,3,4]
[6,1,7,4,2,8,3,5]=>[6,4,7,8,2,1,3,5]
[6,7,2,1,8,3,4,5]=>[2,7,8,3,4,6,1,5]
[7,5,8,2,1,3,4,6]=>[2,8,1,3,7,4,5,6]
[5,7,3,1,8,2,4,6]=>[3,7,8,1,5,4,2,6]
[4,7,1,5,2,8,3,6]=>[7,5,8,4,1,3,2,6]
[7,4,2,5,1,8,3,6]=>[5,4,7,8,3,2,1,6]
[6,7,4,2,1,8,3,5]=>[2,4,7,8,1,6,3,5]
[6,7,4,2,8,3,1,5]=>[3,8,4,7,2,6,1,5]
[6,7,4,2,8,3,5,1]=>[5,4,7,8,2,6,3,1]
[3,6,7,2,8,4,5,1]=>[5,7,3,8,4,6,2,1]
[3,6,7,2,8,4,1,5]=>[4,8,3,7,2,6,1,5]
[3,6,7,2,1,8,4,5]=>[2,7,3,8,4,6,1,5]
[5,7,3,8,2,1,4,6]=>[2,8,7,1,5,4,3,6]
[3,4,7,8,2,1,5,6]=>[2,8,3,4,1,5,7,6]
[3,7,8,1,4,6,2,5]=>[8,6,3,1,2,4,7,5]
[3,4,7,8,2,6,1,5]=>[6,8,3,4,1,2,7,5]
[5,7,3,8,2,6,1,4]=>[6,8,7,1,5,2,3,4]
[3,6,7,2,8,5,1,4]=>[5,8,3,2,7,6,1,4]
[3,6,7,8,5,2,1,4]=>[2,5,3,1,8,6,7,4]
[3,6,7,8,5,2,4,1]=>[4,5,3,2,8,6,7,1]
[6,4,7,8,2,5,3,1]=>[3,5,8,6,1,4,7,2]
[6,4,7,8,2,1,5,3]=>[2,8,5,6,1,4,7,3]
[4,1,5,7,8,2,6,3]=>[4,8,6,1,5,2,7,3]
[5,3,7,8,1,6,2,4]=>[8,6,5,2,3,1,7,4]
[6,7,2,8,5,1,3,4]=>[5,8,2,3,7,6,1,4]
[6,4,1,7,8,2,5,3]=>[4,6,8,5,3,2,7,1]
[5,1,6,2,7,8,4,3]=>[5,6,4,8,1,2,7,3]
[5,6,2,1,7,8,4,3]=>[2,6,4,8,5,1,7,3]
[5,6,2,7,1,8,4,3]=>[7,6,4,8,5,2,1,3]
[5,6,2,7,8,4,3,1]=>[3,4,8,6,5,2,7,1]
[5,6,7,2,8,4,3,1]=>[3,4,8,7,5,6,2,1]
[5,6,7,2,1,8,4,3]=>[2,7,4,8,5,6,1,3]
[5,6,1,7,2,8,4,3]=>[6,7,4,8,5,1,2,3]
[5,1,6,7,2,8,4,3]=>[5,7,4,8,1,6,2,3]
[6,4,7,1,8,2,5,3]=>[7,8,5,6,2,4,1,3]
[3,6,7,1,8,5,2,4]=>[7,5,3,2,8,6,1,4]
[6,7,8,5,2,4,1,3]=>[4,5,1,2,8,6,7,3]
[6,7,8,3,5,1,4,2]=>[5,4,8,1,3,6,7,2]
[4,6,7,8,1,5,3,2]=>[8,3,5,4,1,6,7,2]
[5,1,6,7,8,4,3,2]=>[5,3,4,8,1,6,7,2]
[5,6,1,7,8,4,3,2]=>[6,3,4,8,5,1,7,2]
[5,6,7,1,8,4,3,2]=>[7,3,4,8,5,6,1,2]
[8,6,1,3,4,2,5,7]=>[6,4,1,3,2,8,5,7]
[8,3,2,5,1,6,4,7]=>[5,3,8,6,2,1,4,7]
[8,5,3,6,2,4,1,7]=>[4,6,5,2,8,3,1,7]
[5,3,2,7,4,1,8,6]=>[4,3,7,5,1,8,2,6]
[7,5,3,8,2,4,6,1]=>[6,8,5,2,7,4,3,1]
[7,2,4,5,8,3,6,1]=>[6,7,8,2,4,3,5,1]
[2,4,5,3,7,1,8,6]=>[7,2,5,4,3,8,1,6]
[8,2,4,5,6,3,1,7]=>[3,6,8,1,4,5,2,7]
[8,2,4,5,6,1,3,7]=>[6,8,1,2,4,5,3,7]
[8,1,2,4,5,6,3,7]=>[8,1,6,2,4,5,3,7]
[8,2,5,1,3,6,4,7]=>[5,8,1,6,2,3,4,7]
[8,5,6,2,1,4,3,7]=>[2,6,4,1,8,5,3,7]
[8,5,3,6,4,1,2,7]=>[4,1,6,5,8,2,3,7]
[8,4,1,5,6,3,2,7]=>[4,3,8,6,2,5,1,7]
[8,1,4,5,6,3,2,7]=>[8,3,6,1,4,5,2,7]
[4,5,3,7,2,1,8,6]=>[2,7,5,4,3,8,1,6]
[7,4,5,8,3,2,6,1]=>[6,3,8,7,4,2,5,1]
[4,3,6,7,2,8,5,1]=>[5,8,4,3,7,6,1,2]
[4,3,6,7,2,8,1,5]=>[8,7,4,3,1,6,2,5]
[1,4,3,6,7,2,8,5]=>[1,7,4,3,8,6,2,5]
[4,5,3,7,1,8,2,6]=>[7,8,5,4,3,2,1,6]
[4,1,5,3,7,2,8,6]=>[4,7,5,1,3,8,2,6]
[5,3,4,7,1,2,8,6]=>[7,1,5,3,4,8,2,6]
[7,5,8,2,1,4,6,3]=>[2,8,6,1,7,4,5,3]
[7,5,3,8,4,1,6,2]=>[4,8,6,5,7,2,1,3]
[7,4,5,8,3,6,1,2]=>[6,1,8,7,4,3,5,2]
[4,3,6,7,8,1,5,2]=>[8,5,4,3,1,6,7,2]
[1,6,4,7,8,3,5,2]=>[1,5,8,6,3,4,7,2]
[6,4,7,8,3,5,2,1]=>[2,5,8,6,3,4,7,1]
[3,5,6,7,8,4,1,2]=>[4,1,3,8,5,6,7,2]
[3,1,5,6,7,8,4,2]=>[3,4,1,8,5,6,7,2]
[4,6,1,7,8,3,5,2]=>[6,5,8,4,3,1,7,2]
[3,6,7,1,4,8,5,2]=>[7,5,3,1,8,6,4,2]
[6,2,4,1,7,8,5,3]=>[4,6,5,2,8,1,7,3]
[2,6,7,1,4,8,3,5]=>[7,2,8,1,3,6,4,5]
[4,3,6,7,8,1,2,5]=>[8,1,4,3,2,6,7,5]
[1,5,3,6,7,8,2,4]=>[1,8,5,2,3,6,7,4]
[3,5,6,7,8,2,1,4]=>[2,8,3,1,5,6,7,4]
[3,5,6,7,8,2,4,1]=>[4,8,3,2,5,6,7,1]
[5,2,7,1,3,8,4,6]=>[7,5,1,8,2,4,3,6]
[5,3,1,7,8,2,4,6]=>[3,5,8,1,2,4,7,6]
[4,5,2,7,8,1,3,6]=>[8,5,1,4,2,3,7,6]
[4,2,6,7,8,3,1,5]=>[3,8,4,1,2,6,7,5]
[4,2,6,7,8,3,5,1]=>[5,4,8,2,3,6,7,1]
[3,6,2,7,4,8,5,1]=>[5,8,3,6,7,4,1,2]
[3,6,2,7,4,8,1,5]=>[8,6,3,7,1,2,4,5]
[3,2,1,6,4,7,8,5]=>[2,3,1,6,8,4,7,5]
[3,7,4,2,1,5,8,6]=>[2,4,3,7,1,8,5,6]
[1,7,3,4,2,5,8,6]=>[1,4,7,3,2,8,5,6]
[4,7,2,1,3,5,8,6]=>[2,7,1,4,3,8,5,6]
[7,8,4,2,1,3,6,5]=>[2,4,1,8,6,3,7,5]
[7,8,1,3,4,2,6,5]=>[8,4,1,3,6,2,7,5]
[7,8,3,4,2,1,6,5]=>[2,4,8,3,6,1,7,5]
[6,3,2,7,1,8,5,4]=>[7,3,6,5,8,2,1,4]
[3,6,2,7,1,8,5,4]=>[7,6,3,5,8,2,1,4]
[6,7,3,8,2,5,4,1]=>[4,5,8,7,3,6,1,2]
[6,4,7,8,5,2,3,1]=>[3,5,2,8,6,1,7,4]
[2,6,4,7,8,1,5,3]=>[8,2,5,6,1,4,7,3]
[4,6,2,7,8,1,5,3]=>[8,6,5,4,1,2,7,3]
[7,4,5,8,6,2,1,3]=>[2,6,1,8,3,7,5,4]
[7,4,1,5,8,6,2,3]=>[4,7,1,6,2,8,5,3]
[7,5,3,8,6,1,2,4]=>[6,1,5,3,8,7,2,4]
[7,5,8,2,1,6,3,4]=>[2,8,6,3,7,1,5,4]
[6,2,7,1,3,8,5,4]=>[7,6,1,5,8,2,3,4]
[6,3,1,7,8,2,5,4]=>[3,6,8,5,1,2,7,4]
[4,6,1,7,8,5,2,3]=>[6,5,2,4,8,1,7,3]
[5,1,2,6,7,8,4,3]=>[5,1,4,8,2,6,7,3]
[5,2,6,7,8,4,1,3]=>[4,8,2,5,1,6,7,3]
[5,2,6,7,8,4,3,1]=>[3,4,8,5,2,6,7,1]
[2,5,6,7,8,4,1,3]=>[4,2,1,8,5,6,7,3]
[1,5,2,6,7,8,4,3]=>[1,5,4,8,2,6,7,3]
[1,6,4,7,8,5,2,3]=>[1,5,2,8,6,3,7,4]
[2,6,7,1,3,8,5,4]=>[7,2,1,5,8,6,3,4]
[6,7,8,2,1,5,4,3]=>[2,8,4,5,1,6,7,3]
[6,7,3,8,5,1,4,2]=>[5,4,8,3,7,6,1,2]
[6,4,7,8,5,3,1,2]=>[3,1,5,8,6,2,7,4]
[4,5,2,3,7,6,1,8]=>[6,5,2,4,3,7,1,8]
[6,4,3,7,2,5,1,8]=>[5,7,4,6,2,3,1,8]
[8,4,3,6,5,1,2,7]=>[5,1,4,6,8,2,3,7]
[1,5,6,3,4,8,7,2]=>[1,7,6,3,5,4,8,2]
[4,6,2,7,3,5,1,8]=>[5,6,7,4,3,2,1,8]
[3,2,6,7,4,5,1,8]=>[5,3,2,7,4,6,1,8]
[4,7,2,6,5,3,1,8]=>[3,5,6,4,7,2,1,8]
[5,7,6,2,4,3,1,8]=>[3,4,6,1,5,7,2,8]
[1,7,5,4,8,3,6,2]=>[1,6,8,5,7,3,4,2]
[8,7,5,4,1,3,2,6]=>[4,3,1,5,7,2,8,6]
[6,8,5,4,2,1,3,7]=>[2,4,1,5,8,6,3,7]
[5,8,6,2,4,1,3,7]=>[4,6,1,2,5,8,3,7]
[4,8,2,6,5,1,3,7]=>[5,6,2,4,8,1,3,7]
[3,2,8,6,5,1,4,7]=>[5,3,2,1,6,8,4,7]
[4,1,2,6,5,8,7,3]=>[4,1,7,2,6,5,8,3]
[5,1,6,2,4,8,7,3]=>[5,6,7,2,1,4,8,3]
[6,1,5,4,2,8,7,3]=>[6,4,5,7,1,3,8,2]
[7,1,5,4,8,2,6,3]=>[7,8,6,5,1,2,4,3]
[8,1,5,4,7,6,2,3]=>[8,6,2,5,1,7,4,3]
[1,8,6,7,4,5,3,2]=>[1,3,5,7,4,8,6,2]
[8,1,6,7,4,5,2,3]=>[8,5,2,7,4,1,6,3]
[7,1,6,8,4,2,5,3]=>[7,4,8,5,3,1,6,2]
[6,1,7,8,2,4,5,3]=>[6,8,5,2,4,1,7,3]
[5,1,7,2,8,4,6,3]=>[5,7,6,8,1,4,2,3]
[4,1,2,7,8,5,6,3]=>[4,1,6,2,8,5,7,3]
[3,2,1,7,8,5,6,4]=>[2,3,1,6,8,5,7,4]
[3,2,8,7,1,5,4,6]=>[7,3,2,5,1,4,8,6]
[4,8,2,7,1,5,3,6]=>[7,8,5,4,1,3,2,6]
[5,8,7,2,1,4,3,6]=>[2,7,4,1,5,3,8,6]
[6,8,7,1,2,4,3,5]=>[7,1,4,2,3,6,8,5]
[7,8,6,1,4,2,3,5]=>[6,4,2,1,3,8,7,5]
[8,7,6,1,4,3,2,5]=>[6,3,4,1,2,7,8,5]
[1,7,6,8,4,3,5,2]=>[1,5,4,8,3,7,6,2]
[1,6,7,8,3,4,5,2]=>[1,5,8,3,4,6,7,2]
[8,6,7,1,3,4,2,5]=>[7,4,1,3,2,8,6,5]
[7,6,8,1,3,2,4,5]=>[8,3,1,2,4,7,6,5]
[5,7,8,2,1,3,4,6]=>[2,8,1,3,5,4,7,6]
[4,7,2,8,1,3,5,6]=>[8,7,1,4,3,5,2,6]
[3,2,6,8,4,1,5,7]=>[4,3,2,8,1,6,5,7]
[4,6,2,8,3,1,5,7]=>[3,8,6,4,2,1,5,7]
[5,6,8,2,3,1,4,7]=>[3,8,2,1,5,6,4,7]
[6,5,8,3,2,1,4,7]=>[2,3,8,1,6,5,4,7]
[7,5,8,3,1,2,4,6]=>[3,1,8,2,7,4,5,6]
[8,5,7,3,1,4,2,6]=>[3,7,4,2,8,1,5,6]
[1,5,7,3,8,4,6,2]=>[1,6,7,8,5,4,3,2]
[1,4,3,7,8,5,6,2]=>[1,6,4,3,8,5,7,2]
[8,4,3,7,1,5,2,6]=>[7,5,4,8,1,2,3,6]
[6,4,3,8,2,1,5,7]=>[2,8,4,6,1,3,5,7]
[4,5,2,3,8,1,6,7]=>[8,5,2,4,3,1,6,7]
[3,2,5,4,8,1,6,7]=>[8,3,2,5,4,1,6,7]
[4,5,2,3,1,8,7,6]=>[3,5,2,4,1,7,8,6]
[6,4,3,1,2,8,7,5]=>[3,1,4,6,7,2,8,5]
[7,4,3,1,8,2,6,5]=>[3,4,7,8,6,2,1,5]
[8,4,3,1,7,6,2,5]=>[3,4,8,6,2,7,1,5]
[1,5,8,3,7,6,4,2]=>[1,4,6,7,5,8,3,2]
[8,5,1,3,7,6,2,4]=>[5,8,2,1,6,7,3,4]
[7,5,1,3,8,2,6,4]=>[5,7,2,8,6,4,3,1]
[6,5,1,3,2,8,7,4]=>[5,3,1,6,7,4,8,2]
[5,6,1,2,3,8,7,4]=>[6,1,2,7,5,3,8,4]
[4,6,2,1,3,8,7,5]=>[2,6,1,4,7,3,8,5]
[3,2,6,1,4,8,7,5]=>[6,3,2,1,7,4,8,5]
[3,2,7,1,8,4,6,5]=>[7,3,2,8,6,4,1,5]
[4,7,2,1,8,3,6,5]=>[2,7,8,4,6,3,1,5]
[5,7,1,2,8,3,6,4]=>[7,1,8,6,5,3,2,4]
[6,7,1,8,2,3,5,4]=>[7,8,2,5,3,6,1,4]
[7,6,1,8,3,2,5,4]=>[6,3,7,5,1,8,2,4]
[8,6,1,7,3,5,2,4]=>[6,5,8,2,1,7,3,4]
[1,6,8,7,3,5,4,2]=>[1,4,5,7,2,6,8,3]
[1,7,8,6,5,3,4,2]=>[1,4,5,3,6,8,7,2]
[8,7,1,6,5,3,2,4]=>[7,3,5,2,6,1,8,4]
[7,8,1,6,5,2,3,4]=>[8,5,2,3,6,1,7,4]
[6,8,1,7,2,5,3,4]=>[8,7,5,3,2,6,1,4]
[5,8,1,2,7,6,3,4]=>[8,1,6,3,5,7,2,4]
[4,8,2,1,7,6,3,5]=>[2,8,6,4,3,7,1,5]
[3,2,8,1,7,6,4,5]=>[8,3,2,6,4,7,1,5]
[4,1,2,8,7,6,5,3]=>[4,1,5,2,6,7,8,3]
[5,1,8,2,7,6,4,3]=>[5,8,4,6,1,7,2,3]
[6,1,8,7,2,5,4,3]=>[6,7,4,5,2,1,8,3]
[7,1,8,6,5,2,4,3]=>[7,5,4,2,6,8,1,3]
[8,1,7,6,5,4,2,3]=>[8,4,2,5,6,7,1,3]
[3,1,2,6,5,8,7,4]=>[3,1,2,7,6,5,8,4]
[3,1,6,2,4,8,7,5]=>[3,6,1,2,7,4,8,5]
[3,1,5,2,4,8,7,6]=>[3,5,1,2,4,7,8,6]
[4,5,1,2,3,8,7,6]=>[5,1,2,4,3,7,8,6]
[4,6,1,2,3,8,7,5]=>[6,1,2,4,7,3,8,5]
[1,6,5,3,4,8,7,2]=>[1,7,5,3,6,4,8,2]
[6,1,5,2,4,8,7,3]=>[6,5,7,2,1,4,8,3]
[6,5,1,2,3,8,7,4]=>[5,1,2,6,7,4,8,3]
[6,4,1,2,3,8,7,5]=>[4,1,2,6,7,3,8,5]
[5,4,1,2,3,8,7,6]=>[4,1,2,5,3,7,8,6]
[5,4,1,2,7,3,6,8]=>[4,1,5,7,3,2,6,8]
[6,4,1,7,2,3,5,8]=>[4,6,1,7,3,2,5,8]
[6,4,1,8,2,3,5,7]=>[4,6,1,8,3,2,5,7]
[7,4,1,2,8,3,6,5]=>[4,1,7,8,6,2,3,5]
[7,5,1,2,8,3,6,4]=>[5,1,7,8,6,4,3,2]
[7,1,5,2,8,4,6,3]=>[7,5,6,8,1,4,2,3]
[1,7,5,3,8,4,6,2]=>[1,6,5,7,8,3,4,2]
[1,8,5,3,7,4,6,2]=>[1,6,5,8,7,3,4,2]
[8,1,5,2,7,4,6,3]=>[8,5,6,7,1,4,2,3]
[8,5,1,2,7,3,6,4]=>[5,1,8,7,6,4,3,2]
[8,4,1,2,7,3,6,5]=>[4,1,8,7,6,2,3,5]
[8,4,1,7,2,3,5,6]=>[4,8,1,7,3,5,2,6]
[7,4,1,6,2,3,5,8]=>[4,7,1,6,3,2,5,8]
[8,6,1,7,2,3,5,4]=>[6,8,1,5,3,7,2,4]
[8,1,6,7,2,4,5,3]=>[8,7,5,2,4,1,6,3]
[1,8,6,7,3,4,5,2]=>[1,5,7,3,4,8,6,2]
[1,7,6,8,3,4,5,2]=>[1,5,8,3,4,7,6,2]
[7,1,6,8,2,4,5,3]=>[7,8,5,2,4,1,6,3]
[7,6,1,8,2,3,5,4]=>[6,7,1,5,3,8,2,4]
[4,7,1,2,8,3,6,5]=>[7,1,8,4,6,3,2,5]
[3,1,7,2,8,4,6,5]=>[3,7,1,8,6,4,2,5]
[3,1,2,7,8,5,6,4]=>[3,1,2,6,8,5,7,4]
[1,4,3,8,7,5,6,2]=>[1,6,4,3,7,5,8,2]
[4,1,2,8,7,5,6,3]=>[4,1,6,2,7,5,8,3]
[3,1,2,8,7,5,6,4]=>[3,1,2,6,7,5,8,4]
[3,1,8,2,7,4,6,5]=>[3,8,1,7,6,4,2,5]
[3,1,8,7,2,4,5,6]=>[3,7,1,2,4,5,8,6]
[3,1,7,6,2,4,5,8]=>[3,6,1,2,4,7,5,8]
[4,7,1,6,2,3,5,8]=>[7,6,2,4,3,1,5,8]
[4,8,1,6,2,3,5,7]=>[8,6,2,4,3,1,5,7]
[4,8,1,7,2,3,5,6]=>[8,7,2,4,3,5,1,6]
[4,8,1,2,7,3,6,5]=>[8,1,7,4,6,3,2,5]
[5,8,1,2,7,3,6,4]=>[8,1,7,6,5,3,2,4]
[5,1,8,2,7,4,6,3]=>[5,8,6,7,1,4,2,3]
[1,5,8,3,7,4,6,2]=>[1,6,8,7,5,4,3,2]
[1,6,8,7,3,4,5,2]=>[1,5,7,3,4,6,8,2]
[6,1,8,7,2,4,5,3]=>[6,7,5,2,4,1,8,3]
[6,8,1,7,2,3,5,4]=>[8,7,2,5,3,6,1,4]
[6,8,7,1,2,3,4,5]=>[7,1,2,3,4,6,8,5]
[5,8,7,1,2,3,4,6]=>[7,1,2,3,5,4,8,6]
[5,8,6,1,2,3,4,7]=>[6,1,2,3,5,8,4,7]
[5,7,6,1,2,3,4,8]=>[6,1,2,3,5,7,4,8]
[7,8,1,6,2,3,5,4]=>[8,6,2,5,3,1,7,4]
[7,1,8,6,2,4,5,3]=>[7,6,5,2,4,8,1,3]
[1,7,8,6,3,4,5,2]=>[1,5,6,3,4,8,7,2]
[1,8,7,6,3,4,5,2]=>[1,5,6,3,4,7,8,2]
[8,1,7,6,2,4,5,3]=>[8,6,5,2,4,7,1,3]
[8,7,1,6,2,3,5,4]=>[7,6,2,5,3,1,8,4]
[3,2,5,1,6,4,8,7]=>[5,3,2,6,1,4,8,7]
[3,2,5,4,7,1,8,6]=>[7,3,2,5,4,8,1,6]
[4,2,5,3,7,6,8,1]=>[8,4,5,2,3,7,6,1]
[4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]
[4,2,5,3,6,1,8,7]=>[6,4,5,2,3,1,8,7]
[4,2,5,1,6,3,8,7]=>[5,4,6,2,1,3,8,7]
[3,1,5,4,6,2,8,7]=>[3,6,1,5,4,2,8,7]
[4,1,5,3,6,2,8,7]=>[4,6,5,1,3,2,8,7]
[4,3,5,1,6,2,8,7]=>[5,6,4,3,1,2,8,7]
[4,3,5,2,7,1,8,6]=>[7,5,4,3,2,8,1,6]
[4,3,6,2,7,5,8,1]=>[8,6,4,3,7,2,5,1]
[4,3,6,2,7,1,8,5]=>[7,6,4,3,8,2,1,5]
[4,3,6,1,7,2,8,5]=>[6,7,4,3,8,1,2,5]
[4,3,5,1,7,2,8,6]=>[5,7,4,3,1,8,2,6]
[3,1,5,4,7,2,8,6]=>[3,7,1,5,4,8,2,6]
[2,1,5,4,7,3,8,6]=>[2,1,7,5,4,8,3,6]
[3,1,5,4,7,6,8,2]=>[3,8,1,5,4,7,6,2]
[4,1,5,3,7,6,8,2]=>[4,8,5,1,3,7,6,2]
[4,3,5,1,7,6,8,2]=>[5,8,4,3,1,7,6,2]
[4,3,6,1,7,5,8,2]=>[6,8,4,3,7,1,5,2]
[4,3,6,5,7,1,8,2]=>[7,8,4,3,6,5,1,2]
[5,3,6,4,7,2,8,1]=>[8,7,5,6,3,4,2,1]
[5,3,6,4,7,1,8,2]=>[7,8,5,6,3,4,1,2]
[5,3,6,1,7,4,8,2]=>[6,8,5,7,3,1,4,2]
[5,1,6,3,7,4,8,2]=>[5,8,6,7,1,3,4,2]
[4,1,6,3,7,5,8,2]=>[4,8,6,1,7,3,5,2]
[3,1,6,4,7,5,8,2]=>[3,8,1,6,7,4,5,2]
[2,1,6,4,7,5,8,3]=>[2,1,8,6,7,4,5,3]
[2,1,6,4,7,3,8,5]=>[2,1,7,6,8,4,3,5]
[3,1,6,4,7,2,8,5]=>[3,7,1,6,8,4,2,5]
[4,1,6,3,7,2,8,5]=>[4,7,6,1,8,3,2,5]
[5,1,6,3,7,2,8,4]=>[5,7,6,8,1,3,2,4]
[5,3,6,1,7,2,8,4]=>[6,7,5,8,3,1,2,4]
[5,3,6,2,7,1,8,4]=>[7,6,5,8,3,2,1,4]
[5,3,6,2,7,4,8,1]=>[8,6,5,7,3,2,4,1]
[5,2,6,3,7,4,8,1]=>[8,5,6,7,2,3,4,1]
[5,2,6,3,7,1,8,4]=>[7,5,6,8,2,3,1,4]
[5,2,6,1,7,3,8,4]=>[6,5,7,8,2,1,3,4]
[4,2,5,1,7,3,8,6]=>[5,4,7,2,1,8,3,6]
[4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]
[4,2,6,3,7,1,8,5]=>[7,4,6,2,8,3,1,5]
[4,2,6,3,7,5,8,1]=>[8,4,6,2,7,3,5,1]
[3,2,6,4,7,5,8,1]=>[8,3,2,6,7,4,5,1]
[3,2,6,4,7,1,8,5]=>[7,3,2,6,8,4,1,5]
[3,2,6,1,7,4,8,5]=>[6,3,2,7,8,1,4,5]
[3,2,5,1,7,4,8,6]=>[5,3,2,7,1,8,4,6]
[3,2,4,1,7,5,8,6]=>[4,3,2,1,7,8,5,6]
[3,1,4,2,7,6,8,5]=>[3,4,1,2,8,7,6,5]
[3,2,5,1,7,6,8,4]=>[5,3,2,8,1,7,6,4]
[3,2,6,1,7,5,8,4]=>[6,3,2,8,7,1,5,4]
[3,2,6,5,7,1,8,4]=>[7,3,2,8,6,5,1,4]
[4,2,6,5,7,3,8,1]=>[8,4,7,2,6,5,3,1]
[4,2,6,5,7,1,8,3]=>[7,4,8,2,6,5,1,3]
[4,2,6,1,7,5,8,3]=>[6,4,8,2,7,1,5,3]
[4,2,5,1,7,6,8,3]=>[5,4,8,2,1,7,6,3]
[4,1,5,2,7,6,8,3]=>[4,5,8,1,2,7,6,3]
[3,1,5,2,7,6,8,4]=>[3,5,1,8,2,7,6,4]
[2,1,5,3,7,6,8,4]=>[2,1,5,8,3,7,6,4]
[2,1,6,3,7,5,8,4]=>[2,1,6,8,7,3,5,4]
[3,1,6,2,7,5,8,4]=>[3,6,1,8,7,2,5,4]
[4,1,6,2,7,5,8,3]=>[4,6,8,1,7,2,5,3]
[5,1,6,2,7,4,8,3]=>[5,6,8,7,1,2,4,3]
[5,2,6,1,7,4,8,3]=>[6,5,8,7,2,1,4,3]
[5,2,6,4,7,1,8,3]=>[7,5,8,6,2,4,1,3]
[5,2,6,4,7,3,8,1]=>[8,5,7,6,2,4,3,1]
[5,4,6,2,7,3,8,1]=>[8,6,7,5,4,2,3,1]
[5,4,6,2,7,1,8,3]=>[7,6,8,5,4,2,1,3]
[5,4,6,1,7,2,8,3]=>[6,7,8,5,4,1,2,3]
[5,1,6,4,7,2,8,3]=>[5,7,8,6,1,4,2,3]
[4,1,6,5,7,2,8,3]=>[4,7,8,1,6,5,2,3]
[3,1,6,5,7,2,8,4]=>[3,7,1,8,6,5,2,4]
[2,1,6,5,7,3,8,4]=>[2,1,7,8,6,5,3,4]
[3,1,6,5,7,4,8,2]=>[3,8,1,7,6,5,4,2]
[4,1,6,5,7,3,8,2]=>[4,8,7,1,6,5,3,2]
[5,1,6,4,7,3,8,2]=>[5,8,7,6,1,4,3,2]
[5,4,6,1,7,3,8,2]=>[6,8,7,5,4,1,3,2]
[5,4,6,3,7,1,8,2]=>[7,8,6,5,4,3,1,2]
[8,3,5,2,1,6,4,7]=>[2,5,8,6,3,1,4,7]
[8,6,3,5,2,4,1,7]=>[4,5,6,2,3,8,1,7]
[3,7,5,2,4,1,8,6]=>[4,5,3,2,7,8,1,6]
[8,3,7,5,2,4,6,1]=>[6,5,7,3,8,4,2,1]
[8,2,4,5,7,3,6,1]=>[6,8,7,2,4,3,5,1]
[2,4,5,7,3,1,8,6]=>[3,2,7,4,5,8,1,6]
[8,2,4,6,5,3,1,7]=>[3,5,6,2,8,4,1,7]
[8,2,5,4,6,1,3,7]=>[6,8,1,5,2,4,3,7]
[8,6,3,5,1,4,2,7]=>[5,4,6,1,3,8,2,7]
[8,6,1,4,5,3,2,7]=>[6,3,5,1,4,8,2,7]
[8,1,5,6,4,3,2,7]=>[8,3,4,6,1,5,2,7]
[5,7,4,3,2,1,8,6]=>[2,3,4,7,5,8,1,6]
[8,5,7,4,3,2,6,1]=>[6,3,4,7,8,2,5,1]
[4,6,8,3,2,7,5,1]=>[5,3,7,4,8,6,1,2]
[4,7,6,3,2,8,1,5]=>[8,3,6,4,1,7,2,5]
[1,4,6,7,3,2,8,5]=>[1,3,7,4,8,6,2,5]
[5,4,7,3,1,8,2,6]=>[3,7,8,5,4,1,2,6]
[1,7,4,5,3,2,8,6]=>[1,3,5,7,4,8,2,6]
[3,7,5,1,4,2,8,6]=>[5,4,3,1,7,8,2,6]
[5,7,4,2,1,3,8,6]=>[2,4,1,7,5,8,3,6]
[8,5,7,4,2,1,6,3]=>[2,4,7,6,8,3,5,1]
[8,3,7,5,1,4,6,2]=>[5,7,6,2,8,4,1,3]
[8,4,1,7,5,3,6,2]=>[4,8,6,5,7,1,2,3]
[4,6,3,8,7,1,5,2]=>[7,5,6,4,1,3,8,2]
[1,7,4,8,6,3,5,2]=>[1,5,6,8,4,7,3,2]
[8,4,7,6,3,5,2,1]=>[2,5,6,7,4,8,3,1]
[3,6,5,8,7,4,1,2]=>[4,1,3,7,6,5,8,2]
[3,1,5,8,6,7,4,2]=>[3,4,1,7,5,8,6,2]
[4,8,1,6,7,3,5,2]=>[8,5,7,4,3,1,6,2]
[3,6,4,1,8,7,5,2]=>[4,6,3,5,7,2,8,1]
[8,2,6,1,4,7,5,3]=>[6,8,5,1,7,2,4,3]
[2,7,6,8,1,4,3,5]=>[8,2,4,1,3,7,6,5]
[3,7,1,6,4,8,2,5]=>[7,8,3,6,2,1,4,5]
[1,7,3,5,6,8,2,4]=>[1,8,7,2,3,5,6,4]
[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]
[3,7,6,5,8,2,1,4]=>[2,8,3,1,6,7,5,4]
[3,6,8,5,7,2,4,1]=>[4,7,3,2,8,6,5,1]
[2,3,5,7,6,8,1,4]=>[8,2,3,1,5,7,6,4]
[2,1,6,5,7,8,3,4]=>[2,1,8,3,6,5,7,4]
[4,2,7,6,8,3,1,5]=>[3,8,4,1,2,7,6,5]
[4,2,6,8,7,3,5,1]=>[5,4,7,2,3,6,8,1]
[3,8,2,4,6,7,5,1]=>[5,7,3,1,8,4,6,2]
[3,7,2,6,4,8,1,5]=>[8,7,3,6,1,2,4,5]
[3,2,6,1,4,7,8,5]=>[6,3,2,1,8,4,7,5]
[5,3,7,2,1,8,4,6]=>[2,7,5,8,3,4,1,6]
[4,7,3,2,1,5,8,6]=>[2,3,7,4,1,8,5,6]
[8,7,6,1,3,4,2,5]=>[6,4,1,3,2,7,8,5]
[8,5,7,3,2,1,6,4]=>[2,3,7,6,8,1,5,4]
[8,3,6,7,2,1,5,4]=>[2,7,8,5,1,3,6,4]
[3,7,8,6,2,1,5,4]=>[2,6,3,5,1,8,7,4]
[8,7,6,3,5,2,4,1]=>[4,5,6,2,3,7,8,1]
[2,7,4,8,1,6,5,3]=>[8,2,5,6,7,1,3,4]
[4,6,8,2,1,7,5,3]=>[2,8,5,4,7,6,1,3]
[8,4,1,5,7,2,6,3]=>[4,8,7,6,2,3,5,1]
[8,5,3,7,1,6,2,4]=>[7,6,5,2,8,1,3,4]
[8,5,7,2,1,3,6,4]=>[2,7,1,6,8,3,5,4]
[8,2,6,7,1,3,5,4]=>[7,8,1,5,3,2,6,4]
[8,3,6,1,7,5,2,4]=>[6,5,7,3,8,2,1,4]
[4,6,1,8,7,2,5,3]=>[6,7,5,4,2,1,8,3]
[8,1,2,5,6,7,4,3]=>[8,1,4,7,2,5,6,3]
[8,2,6,5,7,4,1,3]=>[4,7,2,8,6,1,5,3]
[2,1,7,8,5,6,4,3]=>[2,1,4,6,8,5,7,3]
[8,2,5,7,6,4,3,1]=>[3,4,6,7,1,8,5,2]
[2,7,6,8,5,4,1,3]=>[4,2,1,5,8,7,6,3]
[1,7,2,5,8,6,4,3]=>[1,7,4,6,2,8,5,3]
[1,7,4,8,2,6,5,3]=>[1,8,5,6,7,2,3,4]
[3,7,8,1,6,5,2,4]=>[8,5,3,2,6,1,7,4]
[2,7,8,6,1,3,5,4]=>[6,2,1,5,3,8,7,4]
[8,7,6,3,5,1,4,2]=>[5,4,6,1,3,7,8,2]
[8,4,7,6,5,1,3,2]=>[5,3,1,6,7,8,4,2]
[8,7,1,5,6,4,3,2]=>[7,3,4,6,1,5,8,2]
[8,1,6,7,5,4,3,2]=>[8,3,4,5,7,1,6,2]
[6,5,3,1,2,4,8,7]=>[3,1,5,2,6,4,8,7]
[4,6,3,5,1,2,8,7]=>[5,1,6,4,3,2,8,7]
[8,5,3,7,2,1,4,6]=>[2,7,5,1,8,4,3,6]
[6,8,1,4,5,7,3,2]=>[8,3,7,1,4,6,5,2]
[8,7,2,4,5,1,3,6]=>[5,7,1,2,4,3,8,6]
[3,6,2,4,5,1,8,7]=>[5,6,3,2,4,1,8,7]
[2,6,1,4,5,3,8,7]=>[6,2,5,1,4,3,8,7]
[6,1,2,4,5,3,8,7]=>[6,1,5,2,4,3,8,7]
[5,6,3,2,1,4,8,7]=>[2,3,6,1,5,4,8,7]
[5,4,3,6,1,2,8,7]=>[6,1,4,5,3,2,8,7]
[6,3,1,4,5,2,8,7]=>[3,6,5,2,4,1,8,7]
[3,1,6,4,5,2,8,7]=>[3,5,1,6,4,2,8,7]
[8,3,7,4,5,1,2,6]=>[5,1,8,7,4,2,3,6]
[5,8,7,4,2,6,3,1]=>[3,6,4,7,5,1,8,2]
[2,8,7,4,1,6,3,5]=>[4,2,7,6,1,3,8,5]
[8,1,7,4,2,6,3,5]=>[8,4,7,6,2,3,1,5]
[3,7,8,4,5,1,2,6]=>[5,1,3,8,4,2,7,6]
[2,1,8,7,5,3,4,6]=>[2,1,5,3,7,4,8,6]
[2,1,6,8,5,7,3,4]=>[2,1,7,3,8,6,5,4]
[5,6,3,8,1,7,2,4]=>[8,7,6,2,5,3,1,4]
[7,6,1,4,5,8,3,2]=>[6,3,7,2,4,8,5,1]
[3,7,6,4,5,8,2,1]=>[2,8,3,6,4,7,5,1]
[8,5,7,4,1,6,3,2]=>[4,3,7,6,8,2,5,1]
[5,1,8,4,7,6,2,3]=>[5,6,2,7,1,8,3,4]
[2,5,8,4,7,6,1,3]=>[6,2,1,7,5,8,3,4]
[2,4,8,3,5,6,7,1]=>[7,2,8,4,3,5,6,1]
[4,1,8,3,5,6,7,2]=>[4,7,8,1,3,5,6,2]
[3,8,4,2,5,6,7,1]=>[7,4,3,8,2,5,6,1]
[8,4,1,3,5,6,7,2]=>[4,8,2,7,3,5,6,1]
[7,5,8,4,3,6,1,2]=>[6,1,4,8,7,3,5,2]
[6,5,3,8,4,1,7,2]=>[4,8,7,5,6,1,2,3]
[2,1,5,8,4,6,7,3]=>[2,1,7,8,5,4,6,3]
[2,1,4,8,3,6,7,5]=>[2,1,8,4,7,3,6,5]
[6,4,3,8,2,1,7,5]=>[2,8,4,6,7,3,1,5]
[7,3,8,4,2,6,1,5]=>[6,4,8,7,1,3,2,5]
[8,3,1,2,5,6,7,4]=>[3,1,8,7,2,5,6,4]
[3,1,8,2,5,6,7,4]=>[3,8,1,7,2,5,6,4]
[2,3,8,1,5,6,7,4]=>[8,2,3,7,1,5,6,4]
[4,3,8,2,5,6,7,1]=>[7,8,4,3,2,5,6,1]
[4,8,2,3,5,6,7,1]=>[7,8,2,4,3,5,6,1]
[3,8,2,1,5,6,7,4]=>[2,8,3,7,1,5,6,4]
[2,8,1,3,5,6,7,4]=>[8,2,1,7,3,5,6,4]
[8,1,2,3,5,6,7,4]=>[8,1,2,7,3,5,6,4]
[7,8,2,4,3,6,1,5]=>[6,8,4,2,1,3,7,5]
[6,8,3,2,4,1,7,5]=>[4,3,8,2,7,6,1,5]
[2,1,8,3,4,6,7,5]=>[2,1,8,3,7,4,6,5]
[2,1,7,8,5,4,3,6]=>[2,1,4,5,8,3,7,6]
[5,7,3,8,1,4,2,6]=>[8,4,7,1,5,2,3,6]
[7,1,8,4,5,3,2,6]=>[7,3,5,8,4,2,1,6]
[2,7,8,4,5,3,1,6]=>[3,2,5,8,4,1,7,6]
[8,7,1,4,3,6,2,5]=>[7,6,4,1,2,3,8,5]
[3,8,7,4,2,6,1,5]=>[6,4,3,7,1,2,8,5]
[5,7,8,4,3,6,2,1]=>[2,6,4,8,5,3,7,1]
[5,6,3,8,4,2,7,1]=>[7,4,8,6,5,2,3,1]
[4,8,3,6,2,1,7,5]=>[2,6,8,4,7,3,1,5]
[8,6,3,1,4,2,7,5]=>[3,6,4,2,8,7,5,1]
[7,5,3,8,2,4,1,6]=>[4,8,5,2,7,1,3,6]
[2,4,3,1,8,5,7,6]=>[3,2,4,1,8,7,5,6]
[4,1,3,2,6,8,7,5]=>[4,3,1,2,7,6,8,5]
[7,5,3,6,2,8,1,4]=>[8,6,5,1,7,3,2,4]
[8,6,3,5,1,2,7,4]=>[5,1,6,8,4,7,2,3]
[5,8,3,2,6,1,7,4]=>[6,3,8,7,5,2,1,4]
[4,5,3,8,6,2,7,1]=>[7,6,5,4,3,8,2,1]
[3,5,8,4,7,6,2,1]=>[2,6,3,7,5,8,1,4]
[5,8,2,4,7,6,1,3]=>[6,7,2,1,5,8,4,3]
[8,7,5,4,1,6,2,3]=>[4,5,2,7,6,1,8,3]
[2,7,6,4,5,8,1,3]=>[8,2,1,6,4,7,5,3]
[7,1,6,4,5,8,2,3]=>[7,8,2,6,4,1,5,3]
[5,7,3,6,1,8,2,4]=>[6,8,7,2,5,3,1,4]
[2,1,7,6,5,8,3,4]=>[2,1,8,3,6,7,5,4]
[2,1,8,5,3,6,7,4]=>[2,1,5,8,7,4,6,3]
[6,8,3,5,2,1,7,4]=>[2,5,8,7,3,6,1,4]
[7,8,5,4,2,6,1,3]=>[6,4,1,5,8,2,7,3]
[8,1,4,2,5,6,7,3]=>[8,4,7,1,2,5,6,3]
[2,8,4,1,5,6,7,3]=>[4,2,8,7,3,5,6,1]
[4,8,1,2,5,6,7,3]=>[8,1,7,4,2,5,6,3]
[3,4,8,1,5,6,7,2]=>[8,7,3,4,1,5,6,2]
[3,4,2,8,5,6,7,1]=>[7,4,3,2,8,5,6,1]
[2,4,1,8,5,6,7,3]=>[4,2,7,1,8,5,6,3]
[4,1,2,8,5,6,7,3]=>[4,1,7,2,8,5,6,3]
[8,4,2,1,5,6,7,3]=>[2,4,8,7,3,5,6,1]
[7,5,2,4,8,6,1,3]=>[6,5,2,1,8,7,4,3]
[6,5,3,2,8,1,7,4]=>[8,3,5,6,7,4,1,2]
[2,1,5,3,8,6,7,4]=>[2,1,5,7,3,8,6,4]
[6,4,3,5,8,1,7,2]=>[8,7,4,6,3,5,1,2]
[7,3,5,4,8,6,1,2]=>[6,1,8,5,2,7,4,3]
[8,3,4,1,5,6,7,2]=>[4,7,8,3,1,5,6,2]
[4,3,1,8,5,6,7,2]=>[3,4,7,2,8,5,6,1]
[3,1,4,8,5,6,7,2]=>[3,7,1,4,8,5,6,2]
[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,1,3,2]
[6,3,7,4,5,8,2,1]=>[2,8,6,7,4,3,5,1]
[6,7,2,4,5,8,3,1]=>[3,8,7,1,4,6,5,2]
[5,1,7,4,8,6,3,2]=>[5,3,6,8,1,7,2,4]
[2,5,7,4,8,6,3,1]=>[3,2,6,8,5,7,1,4]
[5,6,3,7,1,8,4,2]=>[7,4,8,6,5,2,1,3]
[3,8,7,4,5,2,1,6]=>[2,5,3,7,4,1,8,6]
[3,7,5,4,8,6,2,1]=>[2,6,3,5,8,7,1,4]
[5,7,1,4,8,6,2,3]=>[7,6,2,1,5,8,4,3]
[5,6,3,1,8,2,7,4]=>[3,6,8,7,5,2,1,4]
[4,6,3,5,8,2,7,1]=>[7,8,6,4,3,5,2,1]
[4,6,3,8,1,2,7,5]=>[8,1,6,4,7,3,2,5]
[3,7,8,4,1,6,2,5]=>[4,8,3,6,1,2,7,5]
[3,2,5,1,6,8,4,7]=>[5,3,2,8,1,6,4,7]
[3,6,2,5,4,8,1,7]=>[8,6,3,5,2,4,1,7]
[3,5,2,4,7,1,8,6]=>[7,5,3,2,4,8,1,6]
[3,5,8,2,4,7,6,1]=>[6,7,3,1,5,8,4,2]
[4,2,5,8,3,7,6,1]=>[6,4,7,2,5,8,1,3]
[4,2,6,5,3,8,1,7]=>[8,4,5,2,6,3,1,7]
[5,4,2,1,6,8,3,7]=>[2,4,5,8,3,6,1,7]
[6,3,5,1,4,8,2,7]=>[5,8,6,1,3,4,2,7]
[4,6,1,5,3,8,2,7]=>[6,8,5,4,1,3,2,7]
[5,1,6,4,3,8,2,7]=>[5,8,4,6,1,3,2,7]
[5,4,3,2,7,1,8,6]=>[7,3,4,5,2,8,1,6]
[5,4,3,8,2,7,6,1]=>[6,7,4,5,3,8,1,2]
[4,3,6,2,8,7,5,1]=>[5,7,4,3,6,1,8,2]
[4,3,7,6,2,1,8,5]=>[2,6,4,3,7,8,5,1]
[6,4,3,1,7,2,8,5]=>[3,4,6,7,8,1,2,5]
[7,5,4,3,1,8,2,6]=>[3,4,5,7,8,1,2,6]
[1,4,7,5,8,3,2,6]=>[1,3,8,4,7,2,5,6]
[7,1,3,5,8,4,2,6]=>[7,4,1,8,3,2,5,6]
[7,2,5,8,4,1,3,6]=>[4,8,2,7,1,3,5,6]
[2,8,5,7,4,6,1,3]=>[6,2,1,7,8,4,5,3]
[3,5,8,7,1,4,6,2]=>[7,6,3,1,5,4,8,2]
[1,4,5,8,7,3,6,2]=>[1,6,7,4,5,3,8,2]
[1,5,4,8,7,3,6,2]=>[1,6,7,5,4,3,8,2]
[6,4,3,8,1,7,5,2]=>[8,5,4,7,6,2,1,3]
[4,3,7,1,8,6,5,2]=>[7,5,4,3,6,8,1,2]
[4,8,3,7,6,5,2,1]=>[2,5,6,4,7,8,3,1]
[5,3,8,7,6,4,2,1]=>[2,4,6,5,1,7,8,3]
[7,5,3,1,8,6,4,2]=>[3,5,4,7,6,8,1,2]
[1,8,6,5,3,7,4,2]=>[1,4,7,5,6,8,2,3]
[1,5,8,6,3,7,4,2]=>[1,4,7,6,5,8,2,3]
[4,6,1,8,7,3,5,2]=>[6,5,7,4,3,1,8,2]
[6,8,7,3,1,4,5,2]=>[3,7,5,2,4,6,8,1]
[6,2,8,7,4,5,1,3]=>[5,6,1,7,4,2,8,3]
[7,6,2,8,4,1,3,5]=>[4,8,2,6,3,7,1,5]
[7,3,1,6,8,4,2,5]=>[3,7,4,8,1,2,6,5]
[1,7,6,4,8,3,2,5]=>[1,3,8,6,2,7,4,5]
[5,7,1,6,3,2,8,4]=>[7,3,6,8,5,1,2,4]
[6,1,7,5,3,2,8,4]=>[6,3,5,7,8,1,4,2]
[7,6,5,3,2,1,8,4]=>[2,3,5,6,7,8,1,4]
[6,5,3,2,8,7,4,1]=>[4,3,7,5,6,1,8,2]
[5,2,6,3,8,7,4,1]=>[4,7,5,6,3,1,8,2]
[5,2,7,6,3,1,8,4]=>[3,6,5,7,1,8,4,2]
[6,5,2,1,7,3,8,4]=>[2,5,6,7,8,3,4,1]
[5,2,7,4,1,8,3,6]=>[4,7,5,8,3,1,2,6]
[4,7,2,6,3,1,8,5]=>[3,6,7,4,8,1,2,5]
[2,4,8,6,3,7,5,1]=>[5,2,7,4,6,8,1,3]
[3,8,6,2,4,7,5,1]=>[5,7,3,1,6,8,4,2]
[7,3,6,2,4,1,8,5]=>[4,6,7,2,8,3,1,5]
[3,6,7,2,1,4,8,5]=>[2,7,3,1,8,6,4,5]
[4,3,7,8,2,1,5,6]=>[2,8,4,3,1,5,7,6]
[8,3,7,1,4,6,2,5]=>[7,6,8,1,2,4,3,5]
[3,8,2,5,7,1,6,4]=>[7,8,3,6,2,1,5,4]
[8,3,6,2,7,1,5,4]=>[7,6,8,5,1,3,2,4]
[7,8,3,6,2,1,5,4]=>[2,6,8,5,1,3,7,4]
[8,7,3,6,2,5,4,1]=>[4,5,6,7,3,1,8,2]
[4,7,8,2,1,6,5,3]=>[2,8,5,4,6,1,7,3]
[4,2,6,8,1,7,5,3]=>[8,4,5,2,7,6,1,3]
[5,4,8,2,7,1,6,3]=>[7,8,6,5,4,1,2,3]
[4,8,1,5,7,2,6,3]=>[8,7,6,4,1,2,5,3]
[5,8,3,7,1,6,2,4]=>[7,6,8,2,5,1,3,4]
[5,8,7,2,6,1,3,4]=>[6,7,1,3,5,2,8,4]
[8,6,2,7,5,1,3,4]=>[5,7,2,3,6,8,1,4]
[3,6,8,1,7,5,2,4]=>[8,5,3,2,7,6,1,4]
[5,1,6,8,2,7,4,3]=>[5,8,4,7,1,6,2,3]
[6,5,2,8,1,7,4,3]=>[8,5,4,6,7,3,1,2]
[5,2,7,1,8,6,4,3]=>[7,5,4,6,2,8,1,3]
[5,8,2,7,6,4,3,1]=>[3,4,6,7,5,8,1,2]
[6,2,8,7,5,4,3,1]=>[3,4,5,7,6,1,8,2]
[7,6,2,1,8,5,4,3]=>[2,6,4,5,7,8,3,1]
[6,1,7,2,8,5,4,3]=>[6,7,4,5,8,1,2,3]
[7,5,1,8,2,6,4,3]=>[5,7,4,8,6,3,2,1]
[4,7,1,8,6,2,5,3]=>[7,6,5,4,2,8,1,3]
[7,8,3,1,6,5,2,4]=>[3,8,5,1,6,2,7,4]
[8,7,4,6,1,5,3,2]=>[6,3,5,7,1,4,8,2]
[8,5,7,1,6,4,3,2]=>[7,3,4,6,8,1,5,2]
[6,8,1,7,5,4,3,2]=>[8,3,4,5,7,6,1,2]
[7,1,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,2]
[5,4,2,3,7,6,1,8]=>[6,4,2,5,3,7,1,8]
[6,4,2,7,3,5,1,8]=>[5,4,6,7,2,3,1,8]
[7,4,2,6,3,5,1,8]=>[5,4,7,6,2,3,1,8]
[8,4,2,6,3,1,5,7]=>[3,6,4,8,2,1,5,7]
[3,2,7,6,4,5,1,8]=>[5,3,2,6,4,7,1,8]
[4,7,2,6,3,5,1,8]=>[5,7,6,4,3,2,1,8]
[5,7,6,2,3,4,1,8]=>[4,6,2,3,5,7,1,8]
[1,6,5,2,3,8,4,7]=>[1,5,2,6,8,4,3,7]
[1,7,5,2,8,3,4,6]=>[1,5,7,2,8,4,3,6]
[6,8,5,2,3,1,4,7]=>[3,5,2,1,8,6,4,7]
[5,8,6,2,3,1,4,7]=>[3,6,2,1,5,8,4,7]
[4,8,2,6,3,1,5,7]=>[3,6,8,4,2,1,5,7]
[3,2,8,6,4,1,5,7]=>[4,3,2,6,1,8,5,7]
[3,2,1,6,4,8,5,7]=>[2,3,1,6,8,4,5,7]
[7,1,5,2,8,3,4,6]=>[7,5,8,3,1,4,2,6]
[1,8,5,2,7,3,4,6]=>[1,5,8,2,7,4,3,6]
[1,8,6,7,2,3,4,5]=>[1,7,2,3,4,8,6,5]
[8,1,6,7,2,3,4,5]=>[8,7,2,3,4,1,6,5]
[7,1,6,8,2,3,4,5]=>[7,8,2,3,4,1,6,5]
[3,2,1,7,8,4,5,6]=>[2,3,1,8,4,5,7,6]
[3,2,8,7,1,4,5,6]=>[7,3,2,1,4,5,8,6]
[5,8,7,2,1,3,4,6]=>[2,7,1,3,5,4,8,6]
[1,7,6,8,2,3,4,5]=>[1,8,2,3,4,7,6,5]
[6,5,8,2,3,1,4,7]=>[3,8,2,1,6,5,4,7]
[8,5,7,2,1,3,4,6]=>[2,7,1,3,8,4,5,6]
[6,4,2,8,3,1,5,7]=>[3,8,4,6,2,1,5,7]
[5,4,2,3,8,1,6,7]=>[8,4,2,5,3,1,6,7]
[3,2,5,4,1,8,6,7]=>[4,3,2,5,1,8,6,7]
[4,5,2,3,1,8,6,7]=>[3,5,2,4,1,8,6,7]
[5,4,2,3,1,8,6,7]=>[3,4,2,5,1,8,6,7]
[6,4,2,1,3,8,5,7]=>[2,4,1,6,8,3,5,7]
[7,4,2,1,8,3,5,6]=>[2,4,7,8,1,5,3,6]
[8,4,2,1,7,3,5,6]=>[2,4,8,7,1,5,3,6]
[1,4,2,8,7,3,5,6]=>[1,4,7,2,3,5,8,6]
[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]
[8,5,1,2,7,3,4,6]=>[5,1,8,2,7,4,3,6]
[7,5,1,2,8,3,4,6]=>[5,1,7,2,8,4,3,6]
[6,5,1,2,3,8,4,7]=>[5,1,2,6,8,4,3,7]
[4,6,2,1,3,8,5,7]=>[2,6,1,4,8,3,5,7]
[3,2,6,1,4,8,5,7]=>[6,3,2,1,8,4,5,7]
[3,2,7,1,8,4,5,6]=>[7,3,2,8,4,5,1,6]
[4,7,2,1,8,3,5,6]=>[2,7,8,4,3,5,1,6]
[7,6,1,8,2,3,4,5]=>[6,7,1,3,4,8,2,5]
[8,6,1,7,2,3,4,5]=>[6,8,1,3,4,7,2,5]
[1,6,8,7,2,3,4,5]=>[1,7,2,3,4,6,8,5]
[1,7,8,6,2,3,4,5]=>[1,6,2,3,4,8,7,5]
[7,8,1,6,2,3,4,5]=>[8,6,2,3,4,1,7,5]
[6,8,1,7,2,3,4,5]=>[8,7,2,3,4,6,1,5]
[4,8,2,1,7,3,5,6]=>[2,8,7,4,3,5,1,6]
[3,2,8,1,7,4,5,6]=>[8,3,2,7,4,5,1,6]
[3,2,1,8,7,4,5,6]=>[2,3,1,7,4,5,8,6]
[5,1,8,2,7,3,4,6]=>[5,8,7,3,1,4,2,6]
[6,1,8,7,2,3,4,5]=>[6,7,2,3,4,1,8,5]
[8,1,7,6,2,3,4,5]=>[8,6,2,3,4,7,1,5]
[1,8,7,6,2,3,4,5]=>[1,6,2,3,4,7,8,5]
[6,3,5,1,2,4,8,7]=>[5,1,6,2,3,4,8,7]
[4,3,5,6,1,2,8,7]=>[6,1,4,3,5,2,8,7]
[8,3,7,5,2,1,4,6]=>[2,5,7,3,8,4,1,6]
[6,3,7,5,1,8,4,2]=>[5,4,7,8,6,1,3,2]
[6,5,2,7,1,8,3,4]=>[7,5,6,2,8,3,1,4]
[8,5,2,7,4,1,3,6]=>[4,7,2,5,8,3,1,6]
[2,6,1,5,4,3,8,7]=>[6,2,4,5,1,3,8,7]
[6,4,3,5,1,2,8,7]=>[5,1,4,6,3,2,8,7]
[5,3,1,4,6,2,8,7]=>[3,5,6,2,4,1,8,7]
[3,1,4,6,5,2,8,7]=>[3,5,1,4,6,2,8,7]
[5,7,4,6,2,8,3,1]=>[3,8,6,7,5,4,1,2]
[8,1,4,7,2,6,3,5]=>[8,7,6,1,3,2,4,5]
[3,4,7,8,5,2,1,6]=>[2,5,3,4,8,1,7,6]
[2,1,8,5,7,3,4,6]=>[2,1,7,3,8,4,5,6]
[8,6,3,5,1,7,4,2]=>[5,4,7,6,2,8,1,3]
[5,8,2,4,6,7,3,1]=>[3,7,8,1,5,4,6,2]
[3,4,8,6,5,7,1,2]=>[7,1,3,4,6,8,5,2]
[7,5,4,8,1,6,3,2]=>[8,3,6,5,7,1,4,2]
[5,1,4,6,8,2,7,3]=>[5,8,7,1,4,6,2,3]
[2,5,4,6,7,1,8,3]=>[7,2,8,5,4,6,1,3]
[2,4,6,3,7,5,8,1]=>[8,2,6,4,7,3,5,1]
[4,1,6,3,8,5,7,2]=>[4,7,6,1,8,3,5,2]
[3,7,4,2,8,6,5,1]=>[5,4,3,6,8,7,2,1]
[7,4,1,3,5,8,6,2]=>[4,7,2,6,3,8,5,1]
[6,5,8,4,1,7,3,2]=>[4,3,8,7,6,5,2,1]
[8,5,3,7,4,1,6,2]=>[4,7,6,5,8,2,1,3]
[2,1,4,8,3,7,6,5]=>[2,1,8,4,6,7,3,5]
[7,4,3,8,2,1,6,5]=>[2,8,4,7,6,1,3,5]
[6,3,7,4,1,8,2,5]=>[4,7,8,6,3,1,2,5]
[8,3,1,2,5,7,6,4]=>[3,1,8,6,2,7,5,4]
[3,1,8,2,7,6,5,4]=>[3,8,1,5,6,7,2,4]
[2,3,8,1,6,7,5,4]=>[8,2,3,5,7,1,6,4]
[4,3,7,2,6,8,5,1]=>[5,8,4,3,7,1,6,2]
[4,7,2,3,8,5,6,1]=>[6,7,2,4,8,5,3,1]
[3,8,2,1,7,5,6,4]=>[2,8,3,6,7,5,1,4]
[2,8,1,3,6,5,7,4]=>[8,2,1,7,6,3,5,4]
[2,7,8,5,4,3,1,6]=>[3,2,4,5,8,1,7,6]
[8,7,1,6,3,4,2,5]=>[7,4,6,3,2,1,8,5]
[3,8,6,7,2,4,1,5]=>[4,7,3,2,1,8,6,5]
[5,3,8,7,4,2,6,1]=>[6,4,7,5,2,3,8,1]
[4,3,8,7,2,1,6,5]=>[2,7,4,3,6,1,8,5]
[8,3,6,1,4,2,7,5]=>[6,4,8,1,7,3,2,5]
[7,3,5,8,2,4,1,6]=>[4,8,7,2,3,1,5,6]
[2,3,4,1,8,5,7,6]=>[4,2,3,1,8,7,5,6]
[4,1,3,2,6,7,8,5]=>[4,3,1,2,8,6,7,5]
[8,3,5,6,2,7,1,4]=>[7,6,8,1,3,5,2,4]
[5,3,6,1,8,7,2,4]=>[6,7,5,2,3,1,8,4]
[5,6,2,8,7,4,1,3]=>[4,7,2,6,5,1,8,3]
[7,8,5,6,1,4,2,3]=>[6,4,2,1,8,5,7,3]
[2,8,6,5,4,7,1,3]=>[7,2,1,5,6,8,4,3]
[8,1,6,4,5,7,2,3]=>[8,7,2,6,4,1,5,3]
[5,8,3,6,1,7,2,4]=>[6,7,8,2,5,3,1,4]
[2,1,8,6,5,7,3,4]=>[2,1,7,3,6,8,5,4]
[2,1,7,5,3,6,8,4]=>[2,1,5,7,8,4,6,3]
[6,7,3,5,2,1,8,4]=>[2,5,7,8,3,6,1,4]
[7,1,4,2,5,6,8,3]=>[7,4,8,1,2,5,6,3]
[2,7,4,1,6,5,8,3]=>[4,2,7,8,6,3,5,1]
[4,6,1,2,8,7,3,5]=>[6,1,7,4,3,2,8,5]
[2,4,1,5,8,7,6,3]=>[4,2,6,1,5,7,8,3]
[4,1,2,5,8,6,7,3]=>[4,1,7,2,5,8,6,3]
[6,4,2,1,5,8,7,3]=>[2,4,6,7,3,5,8,1]
[8,5,2,4,6,1,7,3]=>[6,5,8,3,7,4,1,2]
[7,5,3,2,6,8,1,4]=>[8,3,5,1,7,2,6,4]
[2,1,5,3,6,8,7,4]=>[2,1,5,7,3,6,8,4]
[7,3,5,4,6,1,8,2]=>[6,8,7,5,3,4,1,2]
[6,3,4,1,5,7,8,2]=>[4,8,6,3,1,5,7,2]
[4,3,1,5,7,6,8,2]=>[3,4,8,2,5,7,6,1]
[3,1,4,5,6,8,7,2]=>[3,7,1,4,5,6,8,2]
[4,5,2,6,3,1,8,7]=>[3,6,5,4,1,2,8,7]
[6,5,2,1,4,3,8,7]=>[2,5,4,1,6,3,8,7]
[6,5,2,7,4,8,3,1]=>[3,8,5,6,7,4,1,2]
[8,5,2,7,4,1,6,3]=>[4,7,5,8,6,2,1,3]
[8,3,7,5,2,1,6,4]=>[2,5,7,8,6,3,4,1]
[6,3,7,5,2,8,4,1]=>[4,8,5,7,6,3,1,2]
[3,1,6,5,4,2,8,7]=>[3,4,1,5,6,2,8,7]
[5,6,3,2,4,1,8,7]=>[4,3,6,2,5,1,8,7]
[3,6,2,4,1,5,8,7]=>[4,6,3,2,1,5,8,7]
[2,6,1,3,5,4,8,7]=>[6,2,1,5,3,4,8,7]
[6,7,2,3,4,8,5,1]=>[5,8,1,3,7,6,4,2]
[8,7,2,3,4,1,6,5]=>[4,7,2,3,6,1,8,5]
[5,1,7,3,8,4,6,2]=>[5,6,7,8,1,4,3,2]
[2,5,7,3,8,6,4,1]=>[4,2,6,8,5,7,3,1]
[7,6,1,3,5,8,4,2]=>[6,4,2,7,3,8,5,1]
[3,6,7,4,1,8,5,2]=>[4,7,3,5,8,6,2,1]
[5,6,3,7,4,8,1,2]=>[8,1,6,7,5,3,4,2]
[2,1,6,7,4,8,5,3]=>[2,1,5,8,7,6,3,4]
[2,1,8,7,4,3,6,5]=>[2,1,4,7,6,3,8,5]
[5,8,3,7,4,2,6,1]=>[6,4,7,8,5,3,2,1]
[3,8,7,4,1,2,6,5]=>[4,1,3,7,6,2,8,5]
[7,8,1,3,5,2,6,4]=>[8,5,1,6,3,2,7,4]
[5,8,7,3,2,6,1,4]=>[6,3,7,1,5,2,8,4]
[2,8,6,3,1,5,7,4]=>[3,2,6,8,4,7,5,1]
[8,1,6,3,2,5,4,7]=>[8,3,6,5,2,1,4,7]
[2,8,4,1,6,3,7,5]=>[4,2,8,6,7,3,1,5]
[4,8,1,2,7,6,3,5]=>[8,1,6,4,3,7,2,5]
[3,8,4,2,5,7,1,6]=>[7,4,3,8,2,1,5,6]
[6,8,3,5,2,7,4,1]=>[4,7,5,8,1,6,3,2]
[2,1,5,3,8,7,6,4]=>[2,1,5,6,3,7,8,4]
[6,5,3,2,8,7,1,4]=>[7,3,5,1,6,2,8,4]
[7,5,2,4,8,1,6,3]=>[8,5,7,3,6,1,4,2]
[3,4,2,8,5,7,6,1]=>[6,4,3,2,7,8,1,5]
[2,4,1,8,7,6,5,3]=>[4,2,5,1,6,7,8,3]
[8,4,2,1,7,5,3,6]=>[2,4,8,5,7,1,3,6]
[4,3,1,8,6,7,5,2]=>[3,4,5,2,7,8,6,1]
[3,1,4,8,6,5,7,2]=>[3,7,1,4,6,8,5,2]
[7,1,6,5,4,8,2,3]=>[7,8,2,5,6,1,4,3]
[3,7,5,6,8,4,2,1]=>[2,4,3,8,7,5,6,1]
[5,7,1,6,8,2,4,3]=>[7,8,4,2,5,1,6,3]
[8,6,2,5,1,7,4,3]=>[5,6,4,8,3,7,1,2]
[5,6,2,1,8,7,3,4]=>[2,6,7,3,5,1,8,4]
[4,6,2,5,8,3,7,1]=>[7,6,8,4,2,5,3,1]
[7,5,2,6,3,8,1,4]=>[8,5,7,1,6,3,2,4]
[4,1,2,3,6,8,7,5]=>[4,1,2,3,7,6,8,5]
[2,4,3,1,8,5,6,7]=>[3,2,4,1,8,5,6,7]
[7,5,2,8,3,4,6,1]=>[6,5,7,2,8,4,3,1]
[5,6,2,8,4,3,1,7]=>[3,4,8,6,5,2,1,7]
[4,7,2,8,1,5,3,6]=>[8,7,5,4,1,3,2,6]
[8,7,2,1,4,5,6,3]=>[2,7,6,1,4,5,8,3]
[3,6,8,7,1,5,4,2]=>[7,4,3,5,1,6,8,2]
[5,7,8,6,3,4,1,2]=>[4,1,6,3,5,8,7,2]
[7,1,8,5,4,3,6,2]=>[7,6,4,5,8,3,1,2]
[2,7,8,4,5,3,6,1]=>[6,2,5,8,4,3,7,1]
[5,7,3,8,1,4,6,2]=>[8,6,7,1,5,4,3,2]
[2,1,7,8,5,4,6,3]=>[2,1,6,5,8,4,7,3]
[2,1,5,8,4,6,3,7]=>[2,1,6,8,5,4,3,7]
[6,5,3,8,4,1,2,7]=>[4,1,8,5,6,2,3,7]
[7,5,8,4,3,6,2,1]=>[2,6,4,8,7,3,5,1]
[2,4,8,3,5,6,1,7]=>[6,2,8,4,3,5,1,7]
[4,1,8,3,6,5,2,7]=>[4,5,6,1,8,2,3,7]
[3,4,8,1,7,2,5,6]=>[8,7,3,4,2,5,1,6]
[8,4,1,3,7,2,6,5]=>[4,8,2,7,6,1,3,5]
[3,1,8,2,4,7,6,5]=>[3,8,1,2,6,7,4,5]
[2,3,8,1,4,6,7,5]=>[8,2,3,1,7,4,6,5]
[4,3,8,2,5,1,7,6]=>[5,8,4,3,2,7,1,6]
[6,3,8,4,2,5,7,1]=>[7,4,8,6,3,2,5,1]
[7,4,3,8,2,5,1,6]=>[5,8,4,7,2,1,3,6]
[2,1,4,8,3,5,7,6]=>[2,1,8,4,3,7,5,6]
[6,8,2,4,3,5,1,7]=>[5,8,4,2,3,6,1,7]
[4,8,2,3,5,1,6,7]=>[5,8,2,4,3,1,6,7]
[3,8,2,1,4,6,5,7]=>[2,8,3,1,6,4,5,7]
[2,8,1,3,4,5,7,6]=>[8,2,1,3,4,7,5,6]
[2,8,4,1,6,5,3,7]=>[4,2,8,5,6,3,1,7]
[2,8,4,1,6,5,7,3]=>[4,2,8,7,6,3,5,1]
[2,8,7,6,1,4,3,5]=>[6,2,4,1,3,7,8,5]
[2,8,5,6,7,4,3,1]=>[3,2,4,7,8,5,6,1]
[7,5,8,6,1,4,2,3]=>[6,4,2,1,8,7,3,5]
[3,5,7,6,1,4,2,8]=>[6,4,3,1,5,7,2,8]
[3,5,7,2,4,1,6,8]=>[4,7,3,2,5,1,6,8]
[7,5,8,2,4,1,6,3]=>[4,8,6,2,7,1,5,3]
[2,8,5,3,4,7,6,1]=>[6,2,5,1,7,8,4,3]
[2,8,5,3,4,1,7,6]=>[4,2,5,3,8,7,1,6]
[2,8,5,3,4,1,6,7]=>[4,2,5,3,8,1,6,7]
[2,8,7,6,1,4,5,3]=>[6,2,5,1,4,7,8,3]
[2,8,5,3,6,1,7,4]=>[6,2,5,8,7,4,1,3]
[2,8,5,6,7,4,1,3]=>[4,2,1,7,8,5,6,3]
[2,8,5,3,4,7,1,6]=>[7,2,5,3,8,1,4,6]
[2,8,5,3,4,6,1,7]=>[6,2,5,3,8,4,1,7]
[2,8,5,3,4,6,7,1]=>[7,2,5,3,8,4,6,1]
[3,5,7,2,4,6,1,8]=>[6,7,3,2,5,4,1,8]
[6,5,2,7,3,1,4,8]=>[3,7,5,2,6,1,4,8]
[6,5,2,8,3,1,7,4]=>[3,8,5,6,7,4,2,1]
[6,5,2,8,3,1,4,7]=>[3,8,5,2,6,1,4,7]
[7,5,8,2,4,6,3,1]=>[3,6,8,1,7,4,5,2]
[7,5,8,6,1,4,3,2]=>[6,3,4,1,8,7,2,5]
[6,5,8,2,1,3,7,4]=>[2,8,1,7,6,5,3,4]
[3,5,6,2,1,8,7,4]=>[2,6,3,7,5,1,8,4]
[3,5,7,6,1,4,8,2]=>[6,7,3,2,5,8,4,1]
[3,5,7,2,4,1,8,6]=>[4,7,3,2,5,8,1,6]
[3,5,7,2,4,6,8,1]=>[8,7,3,2,5,4,6,1]
[6,5,2,7,3,1,8,4]=>[3,7,5,6,8,4,2,1]
[4,5,2,6,3,1,7,8]=>[3,6,5,4,1,2,7,8]
[4,1,2,3,7,6,8,5]=>[4,1,2,3,8,7,6,5]
[6,5,2,7,3,4,8,1]=>[8,5,6,2,7,3,4,1]
[5,1,6,7,4,3,8,2]=>[5,8,4,7,1,6,3,2]
[5,1,2,6,4,8,7,3]=>[5,1,7,6,2,4,8,3]
[5,1,2,8,6,4,7,3]=>[5,1,7,6,2,8,4,3]
[5,1,6,8,7,3,4,2]=>[5,4,7,3,1,6,8,2]
[6,5,2,8,3,7,4,1]=>[4,7,5,6,8,1,3,2]
[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,8,6]
[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,8,5,7]
[4,1,2,3,8,6,7,5]=>[4,1,2,3,7,8,6,5]
[4,1,2,3,7,6,5,8]=>[4,1,2,3,6,7,5,8]
[4,1,2,3,8,5,7,6]=>[4,1,2,3,8,7,5,6]
[7,1,6,8,4,3,5,2]=>[7,5,4,8,3,1,6,2]
[6,1,2,8,4,5,7,3]=>[6,1,7,8,4,2,5,3]
[5,6,8,2,3,1,7,4]=>[3,8,2,7,5,6,1,4]
[6,5,8,2,4,3,1,7]=>[3,4,8,1,6,5,2,7]
[6,5,8,2,4,3,7,1]=>[7,8,4,2,6,5,3,1]
[7,5,2,8,3,4,1,6]=>[4,5,7,2,8,1,3,6]
[6,5,2,8,3,7,1,4]=>[7,5,6,1,8,3,2,4]
[6,5,2,7,3,4,1,8]=>[4,5,6,2,7,3,1,8]
[5,1,6,7,4,3,2,8]=>[5,3,4,7,1,6,2,8]
[5,1,6,8,7,3,2,4]=>[5,3,7,2,1,6,8,4]
[7,1,6,8,4,3,2,5]=>[7,3,4,8,2,1,6,5]
[5,7,8,6,3,4,2,1]=>[2,4,6,3,5,8,7,1]
[4,1,8,3,6,5,7,2]=>[4,7,8,1,6,3,5,2]
[4,1,8,3,6,2,7,5]=>[4,6,8,1,7,3,2,5]
[3,1,4,8,6,2,7,5]=>[3,6,1,4,8,7,5,2]
[3,1,4,8,6,5,2,7]=>[3,5,1,4,6,8,2,7]
[7,1,6,5,8,3,2,4]=>[7,3,8,2,6,1,5,4]
[4,1,6,7,8,3,2,5]=>[4,3,8,1,2,6,7,5]
[4,1,6,5,7,3,2,8]=>[4,3,7,1,6,5,2,8]
[4,5,2,6,3,7,1,8]=>[7,5,6,4,2,3,1,8]
[4,5,2,7,3,8,1,6]=>[8,5,7,4,2,1,3,6]
[3,5,6,2,4,8,7,1]=>[7,6,3,2,5,4,8,1]
[3,5,6,2,4,8,1,7]=>[8,6,3,2,5,4,1,7]
[3,7,5,6,8,4,1,2]=>[4,1,3,8,7,5,6,2]
[3,6,5,2,8,1,7,4]=>[8,5,3,6,7,4,1,2]
[6,1,2,5,8,4,7,3]=>[6,1,7,8,2,5,4,3]
[7,1,6,5,8,3,4,2]=>[7,4,8,3,6,1,5,2]
[7,5,2,6,3,8,4,1]=>[4,8,5,7,6,1,3,2]
[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,8,6]
[4,1,2,3,7,8,6,5]=>[4,1,2,3,6,8,7,5]
[4,5,2,7,3,8,6,1]=>[6,5,8,4,2,7,1,3]
[4,1,6,7,8,3,5,2]=>[4,5,8,1,3,6,7,2]
[4,1,2,6,8,5,7,3]=>[4,1,7,2,8,6,5,3]
[4,1,2,5,6,8,7,3]=>[4,1,7,2,5,6,8,3]
[4,5,2,6,3,7,8,1]=>[8,5,6,4,2,3,7,1]
[7,8,5,6,1,4,3,2]=>[6,3,4,1,8,5,7,2]
[7,8,4,2,1,5,3,6]=>[2,4,8,5,3,1,7,6]
[7,8,2,1,6,5,3,4]=>[2,8,5,3,6,1,7,4]
[6,4,1,2,5,7,3,8]=>[4,1,6,7,3,5,2,8]
[2,4,8,1,5,7,3,6]=>[8,2,7,4,1,3,5,6]
[4,3,8,1,7,2,5,6]=>[8,7,4,3,2,5,1,6]
[6,3,1,4,7,2,5,8]=>[3,6,7,2,1,4,5,8]
[7,8,3,4,5,1,6,2]=>[5,6,8,3,4,1,7,2]
[7,8,3,5,4,2,1,6]=>[2,4,5,8,1,3,7,6]
[7,8,4,1,2,3,6,5]=>[4,1,2,8,6,3,7,5]
[7,8,3,6,5,4,1,2]=>[4,1,5,6,8,3,7,2]
[7,8,2,1,5,3,4,6]=>[2,8,5,3,1,4,7,6]
[7,8,2,6,4,1,3,5]=>[4,6,2,8,3,1,7,5]
[7,8,2,5,6,4,1,3]=>[4,6,2,8,1,5,7,3]
[7,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,7,2]
[6,2,1,7,5,4,3,8]=>[2,6,4,5,7,1,3,8]
[2,1,8,7,5,4,3,6]=>[2,1,4,5,7,3,8,6]
[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]
[5,3,7,1,6,4,8,2]=>[7,8,5,6,3,1,4,2]
[5,3,6,2,7,4,1,8]=>[4,7,6,5,1,3,2,8]
[6,1,2,5,8,7,4,3]=>[6,1,4,7,2,5,8,3]
[6,3,1,8,4,2,7,5]=>[3,6,4,8,7,2,1,5]
[6,4,2,1,5,3,8,7]=>[2,4,6,5,3,1,8,7]
[6,4,3,7,5,8,1,2]=>[8,1,4,6,7,3,5,2]
[4,3,8,7,5,6,1,2]=>[6,1,4,3,7,5,8,2]
[2,4,7,1,5,3,6,8]=>[7,2,5,4,1,3,6,8]
[1,3,7,6,4,2,8,5]=>[1,4,3,6,7,8,5,2]
[2,1,7,5,6,8,4,3]=>[2,1,4,8,7,5,6,3]
[3,7,2,8,6,4,1,5]=>[4,6,3,8,1,7,2,5]
[3,8,1,7,6,4,5,2]=>[8,5,3,6,4,7,1,2]
[1,8,5,7,3,6,4,2]=>[1,4,6,7,8,2,5,3]
[2,7,5,8,3,6,1,4]=>[6,2,8,1,7,3,5,4]
[1,5,6,8,2,4,7,3]=>[1,8,7,2,5,6,4,3]
[2,6,8,5,3,1,4,7]=>[3,2,5,1,8,6,4,7]
[2,6,1,4,7,3,5,8]=>[6,2,7,1,3,4,5,8]
[5,6,7,3,8,4,1,2]=>[4,1,8,7,5,6,2,3]
[5,2,8,1,4,7,3,6]=>[8,5,7,1,2,3,4,6]
[4,6,7,5,2,1,3,8]=>[2,5,1,4,7,6,3,8]
[4,5,6,7,2,8,1,3]=>[8,7,1,4,5,6,2,3]
[4,5,7,6,1,8,3,2]=>[6,3,7,4,5,8,2,1]
[1,5,8,6,2,7,3,4]=>[1,6,8,2,5,7,3,4]
[1,6,5,8,3,2,7,4]=>[1,3,8,7,6,5,2,4]
[4,6,5,7,1,2,8,3]=>[7,1,8,4,6,5,2,3]
[4,7,5,6,3,1,8,2]=>[3,6,8,4,7,5,2,1]
[5,1,6,3,4,2,8,7]=>[5,4,6,3,1,2,8,7]
[5,7,1,4,2,3,8,6]=>[7,4,2,1,5,8,3,6]
[5,7,6,4,3,8,1,2]=>[8,1,4,6,5,7,3,2]
[6,3,4,5,8,7,1,2]=>[7,1,6,3,4,5,8,2]
[6,2,4,1,8,3,7,5]=>[4,6,8,2,7,1,3,5]
[6,2,3,5,4,8,1,7]=>[8,6,2,5,3,4,1,7]
[6,1,3,4,5,8,7,2]=>[6,7,1,3,4,5,8,2]
[5,1,4,2,7,6,8,3]=>[5,4,8,1,2,7,6,3]
[1,6,2,4,7,8,3,5]=>[1,6,8,2,3,4,7,5]
[5,7,2,4,1,6,3,8]=>[4,7,6,2,5,1,3,8]
[6,1,4,2,8,5,3,7]=>[6,4,5,1,8,2,3,7]
[6,7,5,8,1,4,3,2]=>[8,3,4,1,7,6,5,2]
[5,8,7,6,3,4,1,2]=>[4,1,6,3,5,7,8,2]
[5,8,7,6,2,3,1,4]=>[3,6,2,1,5,7,8,4]
[4,1,7,2,6,5,3,8]=>[4,7,5,1,6,2,3,8]
[4,8,2,1,5,6,3,7]=>[2,8,6,4,1,5,3,7]
[4,2,7,8,1,6,3,5]=>[8,4,6,2,3,1,7,5]
[2,1,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,4]
[3,1,4,7,8,2,6,5]=>[3,8,1,4,6,2,7,5]
[3,1,7,4,5,6,8,2]=>[3,8,1,7,4,5,6,2]
[4,2,7,1,6,3,8,5]=>[7,4,6,2,8,1,3,5]
[4,3,7,5,6,8,1,2]=>[8,1,4,3,7,5,6,2]
[4,8,6,3,5,7,1,2]=>[7,1,6,4,3,8,5,2]
[4,8,1,2,5,3,7,6]=>[8,1,5,4,2,7,3,6]
[3,8,6,5,2,4,1,7]=>[4,5,3,2,6,8,1,7]
[3,8,5,6,1,4,7,2]=>[6,7,3,1,8,5,4,2]
[5,3,7,8,2,1,6,4]=>[2,8,5,6,3,1,7,4]
[5,2,8,7,1,6,4,3]=>[7,5,4,6,2,1,8,3]
[1,6,8,7,5,2,4,3]=>[1,5,4,2,7,6,8,3]
[3,6,7,8,5,1,4,2]=>[5,4,3,1,8,6,7,2]
[3,7,6,8,5,2,1,4]=>[2,5,3,1,8,7,6,4]
[3,7,8,5,1,2,4,6]=>[5,1,3,2,8,4,7,6]
[3,7,1,6,4,2,5,8]=>[7,4,3,6,2,1,5,8]
[4,1,8,6,2,3,5,7]=>[4,6,2,1,3,8,5,7]
[4,7,8,6,3,5,1,2]=>[5,1,6,4,3,8,7,2]
[3,8,7,6,5,4,1,2]=>[4,1,3,5,6,7,8,2]
[2,1,7,6,5,3,4,8]=>[2,1,5,3,6,7,4,8]
[2,8,1,6,4,5,3,7]=>[8,2,5,6,4,1,3,7]
[2,8,7,5,1,4,3,6]=>[5,2,4,1,7,3,8,6]
[2,8,6,7,5,1,3,4]=>[5,2,1,3,7,8,6,4]
[2,7,8,6,5,4,1,3]=>[4,2,1,5,6,8,7,3]
[6,3,1,2,7,4,8,5]=>[3,1,6,7,8,2,4,5]
[6,4,2,7,1,3,8,5]=>[7,4,1,6,8,2,3,5]
[7,4,2,5,1,3,8,6]=>[5,4,1,7,2,8,3,6]
[7,5,3,6,1,8,2,4]=>[6,8,5,2,7,3,1,4]
[8,5,3,6,1,7,2,4]=>[6,7,5,2,8,3,1,4]
[8,3,6,2,4,7,1,5]=>[7,6,8,2,1,3,4,5]
[7,3,6,2,4,8,1,5]=>[8,6,7,2,1,3,4,5]
[4,3,7,1,2,5,8,6]=>[7,1,4,3,2,8,5,6]
[3,6,2,7,1,4,8,5]=>[7,6,3,1,8,2,4,5]
[5,3,6,7,1,2,8,4]=>[7,1,5,8,3,6,2,4]
[6,3,7,4,1,2,8,5]=>[4,1,7,6,8,2,3,5]
[4,7,1,5,2,3,8,6]=>[7,5,2,4,1,8,3,6]
[3,7,5,1,2,4,8,6]=>[5,1,3,2,7,8,4,6]
[7,6,4,2,3,8,1,5]=>[8,4,2,6,1,7,3,5]
[8,6,4,2,3,7,1,5]=>[7,4,2,6,1,8,3,5]
[4,7,6,3,8,1,2,5]=>[8,1,6,4,2,7,3,5]
[5,7,4,2,3,8,1,6]=>[8,4,2,7,5,1,3,6]
[3,7,6,1,4,8,2,5]=>[6,7,3,2,1,8,4,5]
[5,7,2,6,1,8,3,4]=>[6,7,8,3,5,2,1,4]
[6,4,7,5,2,8,1,3]=>[8,5,1,7,6,2,4,3]
[7,4,8,5,2,6,1,3]=>[6,5,1,8,7,4,2,3]
[5,8,2,6,3,7,1,4]=>[7,8,6,1,5,2,3,4]
[3,8,6,1,2,7,4,5]=>[6,1,3,8,2,7,4,5]
[3,8,6,2,4,7,1,5]=>[7,6,3,2,1,8,4,5]
[6,8,4,3,7,1,2,5]=>[7,1,4,8,2,6,3,5]
[6,8,5,3,7,1,2,4]=>[7,1,5,2,8,6,3,4]
[3,8,5,7,1,2,4,6]=>[7,1,3,2,8,4,5,6]
[2,8,5,7,1,3,4,6]=>[7,2,1,3,8,4,5,6]
[4,8,6,2,7,1,3,5]=>[7,6,1,4,3,8,2,5]
[7,3,8,5,6,1,2,4]=>[6,1,7,2,8,5,3,4]
[6,3,7,5,8,1,2,4]=>[8,1,6,2,7,3,5,4]
[2,7,6,4,8,1,3,5]=>[8,2,1,6,3,7,4,5]
[2,6,5,8,1,3,4,7]=>[8,2,1,3,6,5,4,7]
[3,6,5,8,1,2,4,7]=>[8,1,3,2,6,5,4,7]
[2,5,7,4,8,1,3,6]=>[8,2,1,7,5,3,4,6]
[5,4,6,7,2,8,1,3]=>[8,7,1,5,4,6,2,3]
[4,6,3,7,1,8,2,5]=>[7,8,6,4,2,3,1,5]
[3,5,7,1,4,8,2,6]=>[7,8,3,1,5,2,4,6]
[5,3,7,2,4,8,1,6]=>[8,7,5,2,3,1,4,6]
[5,4,7,3,8,1,2,6]=>[8,1,7,5,4,2,3,6]
[7,4,6,3,8,1,2,5]=>[8,1,6,7,2,4,3,5]
[8,4,6,3,7,1,2,5]=>[7,1,6,8,2,4,3,5]
[8,4,1,6,7,2,3,5]=>[4,8,1,7,3,2,6,5]
[7,4,1,6,8,2,3,5]=>[4,7,1,8,3,2,6,5]
[5,4,1,7,8,2,3,6]=>[4,5,1,8,2,3,7,6]
[6,5,3,7,1,8,2,4]=>[7,8,5,2,6,3,1,4]
[6,5,1,2,7,8,3,4]=>[5,1,6,2,8,3,7,4]
[5,3,6,4,7,8,1,2]=>[8,1,5,6,3,4,7,2]
[6,3,7,4,8,5,1,2]=>[5,1,8,6,7,4,2,3]
[4,7,1,5,8,6,2,3]=>[7,6,2,4,1,8,5,3]
[7,5,1,2,8,6,3,4]=>[5,1,7,2,6,8,3,4]
[7,5,3,8,1,6,2,4]=>[8,6,5,2,7,1,3,4]
[7,4,1,8,6,2,3,5]=>[4,7,1,6,3,8,2,5]
[7,6,1,8,5,2,3,4]=>[6,5,1,3,7,8,2,4]
[8,6,1,7,5,2,3,4]=>[6,5,1,3,8,7,2,4]
[5,7,2,8,1,6,3,4]=>[8,7,6,3,5,1,2,4]
[6,4,7,8,2,5,1,3]=>[5,8,1,6,2,4,7,3]
[6,3,7,8,5,1,2,4]=>[5,1,8,3,6,2,7,4]
[3,6,8,2,7,1,4,5]=>[7,8,3,1,4,6,2,5]
[2,4,8,7,1,3,5,6]=>[7,2,1,4,3,5,8,6]
[4,3,8,7,1,2,5,6]=>[7,1,4,3,2,5,8,6]
[5,3,8,7,1,2,4,6]=>[7,1,5,2,3,4,8,6]
[8,3,7,6,1,2,4,5]=>[6,1,7,3,4,8,2,5]
[8,4,7,6,1,2,3,5]=>[6,1,2,7,4,8,3,5]
[5,4,8,7,1,2,3,6]=>[7,1,2,5,4,3,8,6]
[3,5,8,7,1,2,4,6]=>[7,1,3,2,5,4,8,6]
[2,5,8,7,1,3,4,6]=>[7,2,1,3,5,4,8,6]
[4,6,8,2,7,1,3,5]=>[7,8,1,4,3,6,2,5]
[4,7,1,8,6,2,3,5]=>[7,6,2,4,3,8,1,5]
[7,5,8,6,4,1,2,3]=>[4,1,2,6,8,7,3,5]
[6,8,4,7,5,1,2,3]=>[5,1,2,7,8,6,3,4]
[5,8,7,1,6,2,3,4]=>[7,6,2,3,5,1,8,4]
[2,8,7,6,1,3,4,5]=>[6,2,1,3,4,7,8,5]
[3,8,7,6,1,2,4,5]=>[6,1,3,2,4,7,8,5]
[4,8,7,6,1,2,3,5]=>[6,1,2,4,3,7,8,5]
[5,6,3,1,4,2,8,7]=>[3,6,4,2,5,1,8,7]
[7,5,3,8,2,1,6,4]=>[2,8,5,7,6,1,4,3]
[3,8,7,4,5,1,6,2]=>[5,6,3,7,4,1,8,2]
[6,7,1,4,5,8,2,3]=>[7,8,2,1,4,6,5,3]
[2,1,7,8,5,3,6,4]=>[2,1,5,8,6,4,7,3]
[5,7,3,8,1,2,6,4]=>[8,1,7,6,5,2,3,4]
[8,7,1,4,5,3,2,6]=>[7,3,5,1,4,2,8,6]
[2,7,8,4,1,6,5,3]=>[4,2,8,5,6,3,7,1]
[7,1,8,4,2,6,5,3]=>[7,4,8,5,6,3,1,2]
[7,5,1,4,8,6,3,2]=>[5,3,7,2,6,8,4,1]
[6,5,3,1,8,4,7,2]=>[3,5,6,7,8,1,2,4]
[6,4,3,8,1,5,7,2]=>[8,7,4,6,1,3,5,2]
[8,6,3,1,2,5,7,4]=>[3,1,6,8,4,7,5,2]
[8,7,1,4,2,6,5,3]=>[7,4,5,1,6,2,8,3]
[7,3,8,4,1,6,5,2]=>[4,8,5,6,7,2,3,1]
[3,6,4,5,7,2,8,1]=>[8,7,3,6,4,5,2,1]
[5,3,2,7,4,6,8,1]=>[8,3,5,7,2,4,6,1]
[7,5,3,6,2,4,8,1]=>[8,6,5,2,7,3,4,1]
[6,3,2,5,1,8,4,7]=>[5,3,6,8,2,1,4,7]
[8,5,3,6,2,7,1,4]=>[7,6,5,1,8,3,2,4]
[8,2,6,3,4,7,1,5]=>[7,8,6,3,1,2,4,5]
[7,2,6,3,4,5,8,1]=>[8,7,6,3,4,2,5,1]
[6,2,7,3,4,5,8,1]=>[8,6,7,3,4,2,5,1]
[3,6,2,7,4,5,8,1]=>[8,6,3,7,4,2,5,1]
[4,2,5,7,3,6,8,1]=>[8,4,7,2,5,3,6,1]
[5,4,7,6,2,3,8,1]=>[8,6,2,5,4,7,3,1]
[6,7,3,5,2,4,8,1]=>[8,5,7,2,3,6,4,1]
[3,7,6,2,4,5,8,1]=>[8,6,3,2,4,7,5,1]
[2,7,6,3,4,5,8,1]=>[8,2,6,3,4,7,5,1]
[6,5,3,1,2,8,4,7]=>[3,1,5,6,8,4,2,7]
[8,6,5,2,3,7,1,4]=>[7,5,2,1,6,8,3,4]
[8,5,2,1,7,3,4,6]=>[2,5,8,1,7,4,3,6]
[7,5,2,1,8,3,4,6]=>[2,5,7,1,8,4,3,6]
[1,6,3,2,8,4,5,7]=>[1,3,6,8,4,2,5,7]
[5,7,3,1,2,8,4,6]=>[3,1,7,8,5,4,2,6]
[5,6,2,3,1,8,4,7]=>[3,6,2,8,5,1,4,7]
[4,2,6,5,1,8,3,7]=>[5,4,6,2,8,3,1,7]
[5,4,8,6,2,7,1,3]=>[7,6,1,5,4,8,2,3]
[6,8,3,5,2,7,1,4]=>[7,5,8,1,3,6,2,4]
[7,8,5,2,3,6,1,4]=>[6,5,2,1,8,3,7,4]
[6,8,2,1,7,3,4,5]=>[2,8,7,3,4,6,1,5]
[1,8,6,3,7,2,4,5]=>[1,7,6,2,4,8,3,5]
[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]
[2,8,1,7,3,4,5,6]=>[8,2,7,3,4,5,1,6]
[3,8,6,1,7,2,4,5]=>[6,8,3,1,4,7,2,5]
[4,8,1,5,7,2,3,6]=>[8,7,2,4,1,3,5,6]
[4,2,8,3,7,1,5,6]=>[7,4,8,2,1,5,3,6]
[4,1,7,5,8,2,3,6]=>[4,8,2,1,7,3,5,6]
[1,7,3,8,2,4,5,6]=>[1,8,7,2,4,5,3,6]
[8,1,2,7,3,4,5,6]=>[8,1,7,3,4,5,2,6]
[4,2,5,7,1,8,3,6]=>[7,4,8,2,5,3,1,6]
[3,6,2,7,1,8,4,5]=>[7,6,3,8,4,2,1,5]
[6,3,7,1,2,8,4,5]=>[7,1,6,8,4,3,2,5]
[7,2,6,1,8,3,4,5]=>[6,7,8,3,4,2,1,5]
[8,2,6,1,7,3,4,5]=>[6,8,7,3,4,2,1,5]
[7,3,1,5,8,2,4,6]=>[3,7,8,1,2,4,5,6]
[3,2,1,5,8,4,6,7]=>[2,3,1,8,5,4,6,7]
[5,4,1,3,6,8,2,7]=>[4,5,2,8,3,6,1,7]
[1,5,3,4,6,8,2,7]=>[1,8,5,3,4,6,2,7]
[4,3,5,1,6,8,2,7]=>[5,8,4,3,1,6,2,7]
[5,4,6,3,8,7,1,2]=>[7,1,6,5,4,3,8,2]
[3,6,4,5,8,7,1,2]=>[7,1,3,6,4,5,8,2]
[6,5,3,4,8,7,1,2]=>[7,1,5,3,6,4,8,2]
[5,3,2,8,7,1,4,6]=>[7,3,5,1,2,4,8,6]
[5,3,1,8,7,2,4,6]=>[3,5,7,1,2,4,8,6]
[8,5,3,7,6,1,2,4]=>[6,1,5,3,7,8,2,4]
[6,1,8,3,7,2,4,5]=>[6,7,8,2,4,1,3,5]
[6,3,8,1,7,2,4,5]=>[8,7,6,2,4,3,1,5]
[7,6,8,2,3,5,1,4]=>[5,8,2,1,3,7,6,4]
[3,7,8,2,4,6,1,5]=>[6,8,3,2,1,4,7,5]
[6,7,3,8,2,5,1,4]=>[5,8,7,1,2,6,3,4]
[5,4,7,8,2,6,1,3]=>[6,8,1,5,4,2,7,3]
[4,2,5,8,7,1,3,6]=>[7,4,1,2,5,3,8,6]
[3,6,2,8,7,1,4,5]=>[7,6,3,1,4,2,8,5]
[3,7,8,1,6,2,4,5]=>[8,6,3,2,4,1,7,5]
[2,3,8,7,1,4,5,6]=>[7,2,3,1,4,5,8,6]
[7,2,8,6,1,3,4,5]=>[6,8,2,3,4,7,1,5]
[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,8,6]
[8,2,7,6,1,3,4,5]=>[6,7,2,3,4,8,1,5]
[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,8,6]
[1,3,8,7,2,4,5,6]=>[1,7,3,2,4,5,8,6]
[1,7,8,3,6,2,4,5]=>[1,6,8,2,4,3,7,5]
[4,1,5,8,7,2,3,6]=>[4,7,2,1,5,3,8,6]
[5,4,8,7,6,1,2,3]=>[6,1,2,5,4,7,8,3]
[6,8,3,7,5,1,2,4]=>[5,1,7,3,8,6,2,4]
[7,8,6,2,5,1,3,4]=>[5,6,1,3,2,8,7,4]
[8,1,6,7,3,2,5,4]=>[8,3,7,5,2,1,6,4]
[8,1,6,7,3,2,4,5]=>[8,3,7,2,4,1,6,5]
[8,1,5,3,7,2,4,6]=>[8,7,5,2,1,4,3,6]
[8,1,5,3,6,2,4,7]=>[8,6,5,2,1,3,4,7]
[7,5,1,3,6,2,4,8]=>[5,7,2,1,6,3,4,8]
[7,5,8,3,6,2,4,1]=>[4,6,8,2,7,3,5,1]
[7,4,8,3,2,6,5,1]=>[5,3,6,8,7,4,1,2]
[7,4,1,3,2,6,5,8]=>[4,3,1,7,6,2,5,8]
[8,1,4,3,2,6,5,7]=>[8,3,4,1,6,2,5,7]
[8,1,4,3,2,7,5,6]=>[8,3,4,1,7,5,2,6]
[8,1,4,3,2,7,6,5]=>[8,3,4,1,6,7,2,5]
[8,1,5,4,6,7,2,3]=>[8,7,2,5,1,4,6,3]
[8,1,5,3,6,2,7,4]=>[8,6,5,7,1,3,2,4]
[8,1,4,3,2,6,7,5]=>[8,3,4,1,7,2,6,5]
[8,1,4,3,2,5,7,6]=>[8,3,4,1,2,7,5,6]
[8,1,4,3,2,5,6,7]=>[8,3,4,1,2,5,6,7]
[7,4,1,3,2,5,6,8]=>[4,3,1,7,2,5,6,8]
[7,4,8,3,2,5,6,1]=>[6,3,8,7,2,5,4,1]
[6,4,3,8,2,5,7,1]=>[7,8,4,6,2,3,5,1]
[6,4,3,1,2,5,8,7]=>[3,1,4,6,2,5,8,7]
[7,4,1,3,2,5,8,6]=>[4,3,1,7,2,8,5,6]
[7,4,1,3,2,6,8,5]=>[4,3,1,7,8,2,6,5]
[7,5,1,3,6,2,8,4]=>[5,7,2,6,8,3,4,1]
[7,5,1,4,6,8,2,3]=>[5,7,1,2,8,4,6,3]
[7,5,8,3,6,2,1,4]=>[2,6,8,1,7,3,5,4]
[7,4,8,3,2,6,1,5]=>[6,3,8,7,1,2,4,5]
[7,4,8,3,2,5,1,6]=>[5,3,8,7,2,1,4,6]
[6,4,3,8,2,5,1,7]=>[5,8,4,6,2,3,1,7]
[6,4,3,7,2,5,8,1]=>[8,7,4,6,2,3,5,1]
[5,4,3,2,8,6,1,7]=>[6,3,4,5,2,8,1,7]
[5,4,3,2,8,7,1,6]=>[7,3,4,5,2,1,8,6]
[6,5,3,8,7,2,1,4]=>[2,7,5,1,6,3,8,4]
[6,5,4,8,7,1,2,3]=>[7,1,2,5,6,4,8,3]
[6,5,4,1,7,8,2,3]=>[4,5,2,6,8,1,7,3]
[6,5,3,1,7,2,8,4]=>[3,5,6,7,8,1,4,2]
[6,4,3,1,2,7,8,5]=>[3,1,4,6,8,2,7,5]
[5,4,3,2,1,8,6,7]=>[2,3,4,5,1,8,6,7]
[6,5,3,1,8,2,7,4]=>[3,5,6,8,7,1,4,2]
[6,5,4,1,8,7,2,3]=>[4,5,2,6,7,1,8,3]
[7,5,1,4,8,6,2,3]=>[5,7,1,2,6,8,4,3]
[7,4,1,3,2,8,6,5]=>[4,3,1,7,6,8,2,5]
[7,4,1,3,2,8,5,6]=>[4,3,1,7,8,5,2,6]
[6,4,3,1,2,8,5,7]=>[3,1,4,6,8,2,5,7]
[6,4,3,1,2,7,5,8]=>[3,1,4,6,7,2,5,8]
[6,4,3,8,2,7,5,1]=>[5,7,4,8,6,1,3,2]
[6,5,3,8,7,2,4,1]=>[4,7,5,2,6,3,8,1]
[6,5,3,1,7,2,4,8]=>[3,5,6,2,7,1,4,8]
[6,5,3,1,8,2,4,7]=>[3,5,6,2,8,1,4,7]
[7,5,1,3,8,2,4,6]=>[5,7,2,1,8,4,3,6]
[7,6,1,8,3,2,4,5]=>[6,3,7,1,4,8,2,5]
[7,6,1,8,4,5,2,3]=>[6,5,2,7,1,8,4,3]
[7,6,8,1,4,5,2,3]=>[8,5,2,1,4,7,6,3]
[7,6,8,1,3,2,5,4]=>[8,3,1,5,2,7,6,4]
[6,5,3,7,8,2,4,1]=>[4,8,5,2,6,3,7,1]
[6,4,3,7,2,8,5,1]=>[5,8,4,7,6,1,3,2]
[6,4,3,7,2,1,5,8]=>[2,7,4,6,1,3,5,8]
[7,4,8,3,2,1,5,6]=>[2,3,8,7,1,5,4,6]
[7,4,8,3,2,1,6,5]=>[2,3,8,7,6,1,4,5]
[7,5,8,3,1,2,6,4]=>[3,1,8,6,7,2,5,4]
[7,5,8,4,1,6,2,3]=>[4,8,1,6,7,2,5,3]
[6,5,4,8,1,7,2,3]=>[8,7,2,5,6,4,1,3]
[6,5,3,8,1,2,7,4]=>[8,1,5,6,7,4,2,3]
[5,4,3,2,8,1,7,6]=>[8,3,4,5,2,7,1,6]
[6,4,3,7,2,1,8,5]=>[2,7,4,6,8,3,1,5]
[6,5,3,7,1,2,8,4]=>[7,1,5,6,8,4,2,3]
[6,5,4,7,1,8,2,3]=>[7,8,2,5,6,4,1,3]
[6,5,3,7,8,2,1,4]=>[2,8,5,1,6,3,7,4]
[6,4,3,7,2,8,1,5]=>[8,7,4,6,1,3,2,5]
[5,4,3,2,7,8,1,6]=>[8,3,4,5,2,1,7,6]
[5,4,3,2,6,8,1,7]=>[8,3,4,5,2,6,1,7]
[5,6,2,1,3,4,8,7]=>[2,6,1,3,5,4,8,7]
[5,8,2,7,4,1,3,6]=>[4,7,2,8,5,3,1,6]
[5,3,7,8,2,1,4,6]=>[2,8,5,1,3,4,7,6]
[7,6,1,2,5,8,3,4]=>[6,1,7,2,3,8,5,4]
[2,1,7,8,4,3,5,6]=>[2,1,4,8,3,5,7,6]
[8,3,7,4,1,5,6,2]=>[4,7,6,8,2,5,1,3]
[7,8,1,2,5,4,6,3]=>[8,1,6,5,2,4,7,3]
[2,6,8,3,1,4,7,5]=>[3,2,8,1,7,6,4,5]
[6,1,8,3,2,4,5,7]=>[6,3,8,2,4,1,5,7]
[8,4,1,3,7,6,2,5]=>[4,8,2,6,1,7,3,5]
[5,8,7,4,2,1,6,3]=>[2,4,7,6,5,3,8,1]
[7,5,1,6,8,3,4,2]=>[5,4,7,1,8,3,6,2]
[6,5,2,1,8,7,4,3]=>[2,5,4,6,7,3,8,1]
[4,7,2,8,1,3,6,5]=>[8,7,1,4,6,3,2,5]
[7,3,8,6,1,2,5,4]=>[6,1,8,5,3,7,2,4]
[3,4,7,1,8,2,6,5]=>[7,8,3,4,6,2,1,5]
[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]
[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]
[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]
[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]
[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]
[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]
[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]
[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]
[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]
[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]
[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]
[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]
[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]
[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]
[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]
[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]
[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]
[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]
[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]
[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]
[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]
[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]
[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]
[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]
[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]
[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]
[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]
[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]
[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]
[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]
[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]
[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]
[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]
[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]
[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]
[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]
[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]
[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]
[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]
[4,6,3,7,2,5,1,8]=>[5,7,6,4,2,3,1,8]
[4,6,3,7,5,2,1,8]=>[2,5,7,4,6,1,3,8]
[4,6,3,8,5,1,7,2]=>[5,8,7,4,6,1,2,3]
[4,6,3,8,5,1,2,7]=>[5,1,8,4,6,2,3,7]
[5,6,8,3,4,1,2,7]=>[4,1,8,3,5,6,2,7]
[5,6,8,3,4,1,7,2]=>[4,7,8,3,5,6,1,2]
[4,6,2,7,5,3,1,8]=>[3,5,7,4,6,2,1,8]
[5,6,7,2,4,3,1,8]=>[3,4,7,1,5,6,2,8]
[5,6,8,4,3,1,7,2]=>[3,4,8,7,5,6,1,2]
[5,6,8,4,3,1,2,7]=>[3,1,4,8,5,6,2,7]
[5,7,8,4,1,6,2,3]=>[4,8,1,6,5,2,7,3]
[5,7,8,4,1,6,3,2]=>[4,3,8,6,5,2,7,1]
[5,7,8,4,1,3,6,2]=>[4,8,2,6,5,3,7,1]
[5,6,8,4,2,1,7,3]=>[2,4,8,7,5,6,3,1]
[5,6,8,2,4,1,7,3]=>[4,8,7,2,5,6,1,3]
[4,6,2,8,5,1,7,3]=>[5,8,6,4,7,3,2,1]
[3,2,6,8,5,1,7,4]=>[5,3,2,8,7,6,4,1]
[3,2,6,8,5,1,4,7]=>[5,3,2,1,8,6,4,7]
[4,6,2,8,5,1,3,7]=>[5,8,2,4,6,1,3,7]
[5,6,8,2,4,1,3,7]=>[4,8,1,2,5,6,3,7]
[5,6,8,4,2,1,3,7]=>[2,4,1,8,5,6,3,7]
[5,7,8,4,1,3,2,6]=>[4,3,1,8,5,2,7,6]
[5,7,8,4,1,2,6,3]=>[4,1,8,6,5,3,7,2]
[5,7,8,4,1,2,3,6]=>[4,1,2,8,5,3,7,6]
[6,7,8,1,5,2,3,4]=>[8,5,2,3,1,6,7,4]
[6,7,8,1,5,2,4,3]=>[8,5,4,2,1,6,7,3]
[6,7,8,1,5,3,2,4]=>[8,3,5,2,1,6,7,4]
[6,7,8,1,3,5,2,4]=>[8,5,1,2,3,6,7,4]
[5,7,8,2,1,6,3,4]=>[2,8,6,3,5,1,7,4]
[4,7,2,8,1,6,3,5]=>[8,7,6,4,3,1,2,5]
[3,2,7,8,1,6,4,5]=>[8,3,2,6,4,1,7,5]
[3,2,7,8,1,6,5,4]=>[8,3,2,5,6,1,7,4]
[4,7,2,8,1,6,5,3]=>[8,7,5,4,6,1,2,3]
[5,7,8,2,1,6,4,3]=>[2,8,4,6,5,1,7,3]
[6,7,8,1,3,5,4,2]=>[8,4,1,5,3,6,7,2]
[6,7,8,1,5,3,4,2]=>[8,4,5,3,1,6,7,2]
[6,7,8,1,5,4,3,2]=>[8,3,4,5,1,6,7,2]
[6,7,8,1,5,4,2,3]=>[8,4,2,5,1,6,7,3]
[6,7,8,1,4,5,2,3]=>[8,5,2,1,4,6,7,3]
[6,7,8,1,4,5,3,2]=>[8,3,5,1,4,6,7,2]
[6,7,8,1,4,3,5,2]=>[8,5,4,1,3,6,7,2]
[6,7,8,1,3,4,5,2]=>[8,5,1,3,4,6,7,2]
[5,7,8,2,1,4,6,3]=>[2,8,6,1,5,4,7,3]
[4,7,2,8,1,5,6,3]=>[8,7,6,4,1,5,2,3]
[3,2,7,8,1,5,6,4]=>[8,3,2,6,1,5,7,4]
[3,2,6,8,4,1,7,5]=>[4,3,2,8,7,6,1,5]
[4,6,2,8,3,1,7,5]=>[3,8,6,4,7,1,2,5]
[5,6,8,3,2,1,7,4]=>[2,3,8,7,5,6,1,4]
[5,7,8,3,1,4,6,2]=>[3,8,6,2,5,4,7,1]
[5,7,8,3,1,6,4,2]=>[3,8,4,6,5,2,7,1]
[5,7,8,3,1,6,2,4]=>[3,8,6,1,5,2,7,4]
[4,7,3,8,1,6,2,5]=>[8,6,7,4,2,1,3,5]
[4,7,3,8,1,6,5,2]=>[8,5,6,4,7,1,2,3]
[4,7,3,8,1,5,6,2]=>[8,6,7,4,1,5,3,2]
[4,6,3,8,2,1,7,5]=>[2,8,6,4,7,3,1,5]
[4,5,3,2,8,1,7,6]=>[8,3,5,4,2,7,1,6]
[4,5,2,3,8,1,7,6]=>[8,5,2,4,3,7,1,6]
[3,2,5,4,8,1,7,6]=>[8,3,2,5,4,7,1,6]
[4,5,3,2,8,1,6,7]=>[8,3,5,4,2,1,6,7]
[4,6,3,8,2,1,5,7]=>[2,8,6,4,1,3,5,7]
[4,7,3,8,1,5,2,6]=>[8,5,7,4,1,2,3,6]
[4,7,3,8,1,2,6,5]=>[8,1,7,4,6,2,3,5]
[4,7,3,8,1,2,5,6]=>[8,1,7,4,2,5,3,6]
[5,7,8,3,1,2,4,6]=>[3,1,8,2,5,4,7,6]
[5,7,8,3,1,2,6,4]=>[3,1,8,6,5,2,7,4]
[5,7,8,3,1,4,2,6]=>[3,8,4,2,5,1,7,6]
[5,6,8,3,2,1,4,7]=>[2,3,8,1,5,6,4,7]
[3,2,7,8,1,5,4,6]=>[8,3,2,5,1,4,7,6]
[5,7,8,2,1,4,3,6]=>[2,8,4,1,5,3,7,6]
[6,7,8,1,3,4,2,5]=>[8,4,1,3,2,6,7,5]
[6,7,8,1,4,3,2,5]=>[8,3,4,1,2,6,7,5]
[6,7,8,1,4,2,5,3]=>[8,4,5,1,2,6,7,3]
[6,7,8,1,4,2,3,5]=>[8,4,2,1,3,6,7,5]
[6,7,8,1,2,5,3,4]=>[8,1,5,3,2,6,7,4]
[6,7,8,1,2,5,4,3]=>[8,1,4,5,2,6,7,3]
[6,7,8,1,2,4,5,3]=>[8,1,5,2,4,6,7,3]
[6,7,8,1,3,2,5,4]=>[8,3,1,5,2,6,7,4]
[5,7,8,2,1,3,6,4]=>[2,8,1,6,5,3,7,4]
[3,2,7,8,1,4,6,5]=>[8,3,2,1,6,4,7,5]
[6,7,8,1,3,2,4,5]=>[8,3,1,2,4,6,7,5]
[6,7,8,1,2,4,3,5]=>[8,1,4,2,3,6,7,5]
[6,7,8,1,2,3,5,4]=>[8,1,2,5,3,6,7,4]
[7,2,8,5,1,6,4,3]=>[5,8,4,7,6,2,3,1]
[1,3,7,5,2,6,4,8]=>[1,5,3,7,6,4,2,8]
[1,3,7,5,4,2,6,8]=>[1,4,3,5,7,2,6,8]
[7,2,8,5,4,1,6,3]=>[4,5,8,7,6,3,1,2]
[2,8,5,4,3,1,7,6]=>[3,2,4,5,8,7,1,6]
[2,8,4,5,6,1,7,3]=>[6,2,7,8,4,5,1,3]
[2,8,6,5,7,3,1,4]=>[3,2,7,1,6,8,5,4]
[2,8,4,5,3,7,1,6]=>[7,2,5,8,4,1,3,6]
[2,8,4,3,5,6,1,7]=>[6,2,4,8,3,5,1,7]
[7,2,8,4,5,6,1,3]=>[6,7,1,8,4,5,2,3]
[1,6,3,7,5,2,4,8]=>[1,5,7,3,6,2,4,8]
[6,2,3,8,5,1,7,4]=>[5,8,1,6,7,4,2,3]
[6,3,2,8,5,1,4,7]=>[5,3,8,2,6,1,4,7]
[7,4,8,2,5,6,3,1]=>[3,6,8,7,1,5,4,2]
[7,4,8,5,2,1,3,6]=>[2,5,1,8,7,4,3,6]
[6,4,8,5,1,3,7,2]=>[5,8,2,7,6,1,3,4]
[6,3,7,5,2,1,8,4]=>[2,5,7,6,8,4,3,1]
[4,3,7,5,1,2,8,6]=>[5,1,4,3,7,8,2,6]
[4,3,7,1,5,6,8,2]=>[7,8,4,3,1,5,6,2]
[3,6,1,7,5,2,8,4]=>[6,5,3,7,8,1,4,2]
[3,4,1,2,7,6,8,5]=>[4,1,3,2,8,7,6,5]
[3,4,2,1,7,5,8,6]=>[2,4,3,1,7,8,5,6]
[3,6,5,7,1,4,8,2]=>[7,8,3,1,6,5,4,2]
[6,5,2,7,4,1,8,3]=>[4,7,5,6,8,1,2,3]
[3,5,2,6,4,8,7,1]=>[7,5,3,6,2,4,8,1]
[5,3,1,8,6,4,7,2]=>[3,5,7,6,2,8,4,1]
[5,6,1,8,7,2,4,3]=>[6,7,4,2,5,1,8,3]
[6,3,5,8,2,7,4,1]=>[4,7,8,6,1,5,3,2]
[6,5,8,4,2,3,7,1]=>[7,4,2,8,6,5,3,1]
[6,2,5,8,3,7,1,4]=>[7,6,8,1,2,5,3,4]
[1,6,5,7,3,4,2,8]=>[1,4,7,3,6,5,2,8]
[1,5,2,7,4,6,3,8]=>[1,5,6,7,2,4,3,8]
[5,2,1,8,7,6,3,4]=>[2,5,6,3,1,7,8,4]
[7,1,3,8,4,6,2,5]=>[7,6,1,8,2,4,3,5]
[2,3,4,8,6,1,7,5]=>[6,2,3,4,8,7,5,1]
[2,3,4,8,6,5,1,7]=>[5,2,3,4,6,8,1,7]
[2,7,3,5,8,6,1,4]=>[6,2,8,3,1,7,5,4]
[3,2,4,7,8,6,1,5]=>[6,3,2,4,1,8,7,5]
[1,5,4,6,2,7,3,8]=>[1,6,7,5,4,2,3,8]
[5,2,4,7,1,8,3,6]=>[7,5,8,2,4,3,1,6]
[5,3,6,4,1,8,7,2]=>[4,6,7,5,1,2,8,3]
[5,3,6,1,4,8,2,7]=>[6,8,5,1,3,4,2,7]
[7,3,5,6,8,4,2,1]=>[2,4,8,7,1,5,6,3]
[6,3,5,1,8,2,7,4]=>[5,8,6,7,3,1,2,4]
[2,6,1,5,8,4,7,3]=>[6,2,7,8,1,5,4,3]
[2,7,6,5,8,3,4,1]=>[4,2,8,3,6,7,5,1]
[5,7,1,6,3,8,4,2]=>[7,4,8,6,5,1,2,3]
[3,2,4,1,7,8,5,6]=>[4,3,2,1,8,5,7,6]
[3,1,4,2,7,8,6,5]=>[3,4,1,2,6,8,7,5]
[5,1,4,7,2,8,6,3]=>[5,7,6,1,4,8,2,3]
[3,6,4,7,8,2,5,1]=>[5,8,3,6,2,4,7,1]
[3,1,4,6,8,5,7,2]=>[3,7,1,4,8,6,5,2]
[6,3,4,5,7,1,8,2]=>[7,8,6,3,4,5,1,2]
[2,5,4,6,1,7,8,3]=>[6,2,8,5,4,1,7,3]
[7,2,1,4,3,6,5,8]=>[2,7,4,1,6,3,5,8]
[7,3,4,1,2,6,5,8]=>[4,1,7,3,6,2,5,8]
[7,4,3,2,1,6,5,8]=>[2,3,4,7,6,1,5,8]
[7,6,3,2,5,4,1,8]=>[4,3,5,6,1,7,2,8]
[6,7,3,2,5,4,8,1]=>[8,3,7,5,2,6,4,1]
[1,8,3,2,5,4,7,6]=>[1,3,8,5,2,7,4,6]
[1,8,4,5,2,3,7,6]=>[1,5,2,8,4,7,3,6]
[7,3,5,1,6,2,4,8]=>[5,6,7,2,3,1,4,8]
[7,2,1,5,6,3,4,8]=>[2,7,6,3,1,5,4,8]
[7,2,1,6,5,4,3,8]=>[2,7,4,5,6,1,3,8]
[7,3,6,1,5,4,2,8]=>[6,4,5,7,1,2,3,8]
[7,4,6,5,1,3,2,8]=>[5,3,1,6,7,2,4,8]
[1,8,5,4,3,2,7,6]=>[1,3,4,5,8,7,2,6]
[1,8,6,4,3,7,2,5]=>[1,7,4,6,2,8,3,5]
[6,5,7,4,3,1,8,2]=>[3,4,7,8,6,5,1,2]
[6,4,7,5,1,3,8,2]=>[5,7,2,8,6,1,3,4]
[6,3,7,1,5,4,8,2]=>[7,8,6,5,1,3,4,2]
[6,2,1,7,5,4,8,3]=>[2,6,8,5,7,1,4,3]
[3,2,1,8,5,4,7,6]=>[2,3,1,5,8,7,4,6]
[2,3,8,1,5,4,7,6]=>[8,2,3,5,1,7,4,6]
[2,4,8,5,1,3,7,6]=>[5,2,1,4,8,7,3,6]
[2,5,8,4,3,1,7,6]=>[3,2,4,8,5,7,1,6]
[2,6,8,4,3,7,1,5]=>[7,2,4,8,1,6,3,5]
[2,7,8,4,3,6,5,1]=>[5,2,4,6,8,1,7,3]
[1,8,7,4,3,6,5,2]=>[1,5,4,6,7,2,8,3]
[1,8,7,5,6,3,4,2]=>[1,4,6,3,7,5,8,2]
[2,7,8,5,6,3,4,1]=>[4,2,6,3,8,5,7,1]
[2,6,8,5,7,3,1,4]=>[3,2,7,1,8,6,5,4]
[2,5,8,6,7,1,3,4]=>[7,2,1,3,5,8,6,4]
[2,4,8,6,1,7,3,5]=>[6,2,8,4,1,7,3,5]
[3,2,1,8,6,7,4,5]=>[2,3,1,7,4,8,6,5]
[5,2,1,7,6,8,4,3]=>[2,5,4,8,1,7,6,3]
[5,3,7,1,6,8,4,2]=>[7,4,8,5,2,1,6,3]
[5,4,7,6,1,8,3,2]=>[6,3,7,5,4,8,2,1]
[4,5,7,6,8,1,3,2]=>[8,3,1,4,5,7,6,2]
[4,6,7,5,8,3,1,2]=>[3,1,8,4,7,6,5,2]
[1,8,6,5,7,3,2,4]=>[1,3,7,2,6,8,5,4]
[1,8,5,6,7,2,3,4]=>[1,7,2,3,8,5,6,4]
[4,7,5,6,8,2,3,1]=>[3,8,2,4,7,5,6,1]
[4,6,5,7,8,2,1,3]=>[2,8,1,4,6,5,7,3]
[5,4,6,7,1,8,2,3]=>[7,8,2,5,4,6,1,3]
[5,3,6,1,7,8,2,4]=>[6,8,5,2,3,1,7,4]
[5,2,1,6,7,8,3,4]=>[2,5,8,3,1,6,7,4]
[6,2,1,5,7,3,8,4]=>[2,6,7,8,1,5,3,4]
[6,3,5,1,7,2,8,4]=>[5,7,6,8,3,1,2,4]
[6,4,5,7,1,2,8,3]=>[7,1,8,6,4,5,2,3]
[6,5,4,7,2,1,8,3]=>[2,7,8,5,6,4,1,3]
[5,6,4,7,2,8,1,3]=>[8,7,1,6,5,4,2,3]
[1,8,4,6,2,7,3,5]=>[1,6,7,8,3,4,2,5]
[1,8,3,2,6,7,4,5]=>[1,3,8,7,4,2,6,5]
[5,7,3,2,6,8,4,1]=>[4,3,8,7,5,1,6,2]
[5,6,3,2,7,8,1,4]=>[8,3,6,1,5,2,7,4]
[6,5,3,2,7,1,8,4]=>[7,3,5,6,8,4,1,2]
[6,4,3,2,1,7,8,5]=>[2,3,4,6,8,1,7,5]
[6,2,1,4,3,7,8,5]=>[2,6,4,1,8,3,7,5]
[5,2,1,4,3,8,7,6]=>[2,5,4,1,3,7,8,6]
[5,3,4,1,2,8,7,6]=>[4,1,5,3,2,7,8,6]
[4,6,3,2,8,7,1,5]=>[7,3,6,4,1,2,8,5]
[4,7,3,2,8,6,5,1]=>[5,3,6,4,8,7,2,1]
[1,8,3,2,7,6,5,4]=>[1,3,8,5,6,7,2,4]
[1,8,4,7,2,6,5,3]=>[1,7,5,6,8,2,3,4]
[3,7,4,8,2,6,5,1]=>[5,6,3,8,7,4,1,2]
[3,6,4,8,2,7,1,5]=>[7,8,3,6,1,4,2,5]
[3,5,4,8,2,1,7,6]=>[2,8,3,5,4,7,1,6]
[3,4,5,8,1,2,7,6]=>[8,1,3,4,5,7,2,6]
[4,3,5,1,8,2,7,6]=>[5,8,4,3,1,7,2,6]
[4,2,1,5,8,3,7,6]=>[2,4,8,1,5,7,3,6]
[4,2,1,6,8,7,3,5]=>[2,4,7,1,3,6,8,5]
[4,3,6,1,8,7,2,5]=>[6,7,4,3,2,1,8,5]
[3,4,6,8,1,7,2,5]=>[8,7,3,4,2,6,1,5]
[3,5,6,8,7,1,2,4]=>[7,1,3,2,5,6,8,4]
[3,6,5,8,7,2,1,4]=>[2,7,3,1,6,5,8,4]
[3,7,5,8,6,2,4,1]=>[4,6,3,2,8,7,1,5]
[1,8,5,7,6,2,4,3]=>[1,6,4,2,7,8,3,5]
[1,8,6,7,5,4,2,3]=>[1,4,2,5,7,8,6,3]
[3,6,7,8,5,4,1,2]=>[4,1,3,5,8,6,7,2]
[3,5,7,8,6,1,4,2]=>[6,4,3,1,5,8,7,2]
[3,4,7,8,1,6,5,2]=>[8,5,3,4,6,1,7,2]
[4,2,1,7,8,6,5,3]=>[2,4,5,1,6,8,7,3]
[2,3,8,1,7,6,5,4]=>[8,2,3,5,6,7,1,4]
[2,4,8,7,1,6,5,3]=>[7,2,5,4,6,1,8,3]
[2,5,8,7,6,1,4,3]=>[6,2,4,1,5,7,8,3]
[2,6,8,7,5,4,1,3]=>[4,2,1,5,7,6,8,3]
[7,4,6,1,8,3,5,2]=>[6,5,8,7,3,4,1,2]
[8,3,5,1,7,4,6,2]=>[5,6,8,7,3,4,1,2]
[8,3,4,1,7,5,6,2]=>[4,6,8,3,7,5,1,2]
[4,8,3,1,7,5,6,2]=>[3,8,6,4,7,5,2,1]
[4,6,2,1,7,5,8,3]=>[2,6,8,4,7,1,5,3]
[1,4,6,2,7,5,8,3]=>[1,6,8,4,7,2,5,3]
[1,7,5,2,6,8,4,3]=>[1,5,4,7,8,3,6,2]
[7,5,2,1,6,8,4,3]=>[2,5,4,7,8,3,6,1]
[6,8,4,3,1,7,5,2]=>[3,4,8,5,7,6,1,2]
[3,6,8,4,1,7,5,2]=>[4,8,3,5,7,6,2,1]
[3,6,7,5,1,8,4,2]=>[5,4,3,7,8,6,2,1]
[7,5,6,1,8,3,4,2]=>[6,4,8,3,7,5,1,2]
[3,4,6,5,7,1,8,2]=>[7,8,3,4,6,5,1,2]
[4,7,5,6,1,8,3,2]=>[6,3,8,4,7,5,1,2]
[6,7,5,1,8,4,3,2]=>[5,3,4,7,8,6,2,1]
[6,8,4,1,7,5,3,2]=>[4,3,8,5,7,6,2,1]
[6,7,5,3,1,8,4,2]=>[3,5,4,7,8,6,1,2]
[8,4,2,1,6,7,5,3]=>[2,4,8,5,7,3,6,1]
[1,8,4,2,6,7,5,3]=>[1,4,8,5,7,3,6,2]
[1,5,3,2,7,6,8,4]=>[1,3,5,8,2,7,6,4]
[5,3,2,1,7,6,8,4]=>[2,3,5,8,1,7,6,4]
[2,5,3,1,7,6,8,4]=>[3,2,5,8,1,7,6,4]
[2,8,4,1,6,7,5,3]=>[4,2,8,5,7,3,6,1]
[2,7,5,1,6,8,4,3]=>[5,2,4,7,8,3,6,1]
[2,4,6,1,7,5,8,3]=>[6,2,8,4,7,1,5,3]
[4,7,1,6,5,8,2,3]=>[7,8,2,4,6,1,5,3]
[4,8,2,6,5,7,1,3]=>[7,8,1,4,6,2,5,3]
[4,6,1,2,7,5,8,3]=>[6,1,8,4,7,2,5,3]
[7,5,1,2,6,8,4,3]=>[5,1,4,7,8,3,6,2]
[8,4,1,2,6,7,5,3]=>[4,1,8,5,7,3,6,2]
[5,3,1,2,7,6,8,4]=>[3,1,5,8,2,7,6,4]
[1,2,5,3,7,6,8,4]=>[1,2,5,8,3,7,6,4]
[4,3,1,2,7,6,8,5]=>[3,1,4,2,8,7,6,5]
[3,5,1,2,7,6,8,4]=>[5,1,3,8,2,7,6,4]
[6,7,1,5,8,2,3,4]=>[7,8,2,3,1,6,5,4]
[2,7,6,1,5,8,3,4]=>[6,2,7,1,3,8,5,4]
[2,3,5,1,7,6,8,4]=>[5,2,3,8,1,7,6,4]
[7,6,1,5,8,3,2,4]=>[6,3,7,1,2,8,5,4]
[3,6,7,1,5,8,2,4]=>[7,8,3,2,1,6,5,4]
[7,1,6,5,8,2,4,3]=>[7,8,4,2,6,1,5,3]
[7,5,1,6,8,4,2,3]=>[5,4,1,7,8,2,6,3]
[8,4,1,6,7,5,2,3]=>[4,8,1,5,7,2,6,3]
[5,2,3,1,7,6,8,4]=>[3,5,2,8,1,7,6,4]
[3,5,2,1,7,6,8,4]=>[2,5,3,8,1,7,6,4]
[1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4]
[1,7,6,2,5,8,3,4]=>[1,6,7,2,3,8,5,4]
[7,6,2,1,5,8,3,4]=>[2,6,7,1,3,8,5,4]
[8,3,1,5,7,6,2,4]=>[3,8,6,1,2,7,5,4]
[6,2,4,1,7,5,8,3]=>[4,6,8,2,7,1,5,3]
[6,2,5,1,7,4,8,3]=>[5,6,8,7,2,1,4,3]
[7,1,6,4,8,2,5,3]=>[7,8,5,6,2,1,4,3]
[8,2,6,4,7,1,5,3]=>[7,8,5,6,1,2,4,3]
[6,1,5,2,7,4,8,3]=>[6,5,8,7,1,2,4,3]
[7,6,2,5,8,3,1,4]=>[3,8,6,2,1,7,5,4]
[8,3,5,7,6,2,1,4]=>[2,6,7,3,1,8,5,4]
[1,8,3,5,7,6,2,4]=>[1,6,7,3,2,8,5,4]
[1,5,2,3,7,6,8,4]=>[1,5,2,8,3,7,6,4]
[5,2,1,3,7,6,8,4]=>[2,5,1,8,3,7,6,4]
[7,5,2,6,8,4,1,3]=>[4,8,2,5,7,1,6,3]
[8,4,2,6,7,5,1,3]=>[5,4,2,7,8,1,6,3]
[6,1,4,2,7,5,8,3]=>[6,4,8,1,7,2,5,3]
[8,2,6,5,7,1,4,3]=>[7,8,4,1,6,2,5,3]
[3,6,8,2,5,7,1,4]=>[7,8,3,1,2,6,5,4]
[8,3,2,5,7,6,1,4]=>[6,3,7,2,1,8,5,4]
[5,1,3,2,7,6,8,4]=>[5,3,1,8,2,7,6,4]
[4,1,3,2,7,6,8,5]=>[4,3,1,2,8,7,6,5]
[4,2,1,3,7,6,8,5]=>[2,4,1,3,8,7,6,5]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,8,7,6,5]
[2,4,1,3,7,6,8,5]=>[4,2,1,3,8,7,6,5]
[2,5,1,3,7,6,8,4]=>[5,2,1,8,3,7,6,4]
[2,8,3,5,7,6,1,4]=>[6,2,7,3,1,8,5,4]
[6,8,2,3,5,7,1,4]=>[7,8,2,1,3,6,5,4]
[6,7,1,3,5,8,2,4]=>[7,8,1,2,3,6,5,4]
[8,3,5,7,6,1,2,4]=>[6,1,7,3,2,8,5,4]
[5,1,2,3,7,6,8,4]=>[5,1,2,8,3,7,6,4]
[3,1,2,4,7,6,8,5]=>[3,1,2,4,8,7,6,5]
[8,1,2,4,3,6,5,7]=>[8,1,4,2,6,3,5,7]
[8,1,3,5,6,2,7,4]=>[8,6,1,7,3,5,2,4]
[8,1,3,4,2,6,7,5]=>[8,4,1,3,7,2,6,5]
[8,1,3,2,4,5,7,6]=>[8,3,1,2,4,7,5,6]
[2,7,8,3,4,5,6,1]=>[6,2,8,3,4,5,7,1]
[2,6,3,8,4,5,7,1]=>[7,2,6,8,4,3,5,1]
[6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]
[7,3,1,4,2,6,8,5]=>[3,7,4,2,8,1,6,5]
[7,4,1,5,6,8,2,3]=>[4,7,1,8,2,5,6,3]
[4,7,8,5,6,1,2,3]=>[6,1,2,4,8,5,7,3]
[3,7,8,5,6,2,1,4]=>[2,6,3,1,8,5,7,4]
[3,7,8,4,2,6,1,5]=>[6,4,3,8,1,2,7,5]
[3,7,8,2,4,5,1,6]=>[5,8,3,2,4,1,7,6]
[3,6,2,8,4,5,1,7]=>[5,6,3,8,4,2,1,7]
[2,3,6,7,4,5,8,1]=>[8,2,3,7,4,6,5,1]
[3,5,2,4,8,6,1,7]=>[6,5,3,2,4,8,1,7]
[3,5,4,2,8,7,1,6]=>[7,4,3,5,2,1,8,6]
[4,6,5,8,7,1,2,3]=>[7,1,2,4,6,5,8,3]
[6,4,5,1,7,8,2,3]=>[5,8,2,6,4,1,7,3]
[7,4,1,2,3,8,5,6]=>[4,1,2,7,8,5,3,6]
[6,2,4,1,3,7,5,8]=>[4,6,1,2,7,3,5,8]
[2,6,4,8,3,7,5,1]=>[5,2,7,8,6,1,4,3]
[2,6,5,8,7,3,4,1]=>[4,2,7,3,6,5,8,1]
[6,2,5,1,7,3,4,8]=>[5,6,7,3,2,1,4,8]
[6,5,2,1,8,3,4,7]=>[2,5,6,1,8,3,4,7]
[2,5,6,7,8,3,4,1]=>[4,2,8,3,5,6,7,1]
[2,4,6,7,3,8,5,1]=>[5,2,8,4,7,6,1,3]
[4,2,6,7,3,1,5,8]=>[3,7,4,1,2,6,5,8]
[4,7,8,2,3,1,5,6]=>[3,8,2,4,1,5,7,6]
[4,7,8,3,2,1,6,5]=>[2,3,8,4,6,1,7,5]
[5,6,4,8,1,7,2,3]=>[8,7,2,6,5,4,1,3]
[5,6,3,8,1,2,7,4]=>[8,1,6,7,5,3,2,4]
[4,2,5,3,7,1,6,8]=>[7,4,5,2,3,1,6,8]
[4,3,6,7,2,1,8,5]=>[2,7,4,3,8,6,1,5]
[3,4,6,7,2,8,1,5]=>[8,7,3,4,1,6,2,5]
[3,4,5,2,7,8,1,6]=>[8,5,3,4,2,1,7,6]
[3,4,2,5,6,8,1,7]=>[8,4,3,2,5,6,1,7]
[5,2,7,8,6,4,1,3]=>[4,6,2,5,1,8,7,3]
[5,1,2,7,8,6,4,3]=>[5,1,4,6,2,8,7,3]
[4,7,1,8,6,5,2,3]=>[7,5,2,4,6,8,1,3]
[4,7,1,2,8,6,5,3]=>[7,1,5,4,6,8,2,3]
[4,6,8,1,2,7,5,3]=>[8,1,5,4,7,6,2,3]
[6,8,7,1,5,3,2,4]=>[7,3,5,2,1,6,8,4]
[6,8,7,3,5,1,2,4]=>[5,1,7,2,3,6,8,4]
[7,8,1,6,3,5,2,4]=>[8,5,6,2,3,1,7,4]
[7,8,1,3,6,5,2,4]=>[8,5,1,2,6,3,7,4]
[7,8,3,6,5,2,1,4]=>[2,5,6,3,8,1,7,4]
[4,7,2,8,6,1,5,3]=>[6,8,5,4,2,7,1,3]
[1,7,3,4,8,6,5,2]=>[1,5,6,3,8,7,4,2]
[4,2,7,1,8,6,5,3]=>[7,4,5,2,6,8,1,3]
[7,8,2,3,6,5,1,4]=>[5,6,1,2,8,3,7,4]
[8,5,7,1,6,2,3,4]=>[7,6,2,3,8,1,5,4]
[8,5,7,1,2,6,3,4]=>[7,1,6,3,8,2,5,4]
[6,8,2,7,1,3,5,4]=>[7,8,1,5,3,6,2,4]
[6,8,7,2,5,3,1,4]=>[3,5,7,2,1,6,8,4]
[6,2,4,8,7,1,5,3]=>[7,6,5,2,1,4,8,3]
[1,6,8,3,7,4,5,2]=>[1,5,8,7,4,6,3,2]
[1,6,8,3,4,7,5,2]=>[1,5,7,2,8,6,4,3]
[6,2,4,8,1,7,5,3]=>[8,6,5,2,7,4,1,3]
[6,8,7,2,3,5,1,4]=>[5,7,2,1,3,6,8,4]
[6,8,2,1,7,3,5,4]=>[2,8,7,5,3,6,1,4]
[8,5,7,2,1,6,3,4]=>[2,7,6,3,8,1,5,4]
[8,5,7,1,2,3,6,4]=>[7,1,2,6,8,3,5,4]
[8,7,6,2,1,4,3,5]=>[2,6,4,1,3,7,8,5]
[8,5,7,2,3,1,6,4]=>[3,7,2,6,8,1,5,4]
[5,8,4,2,7,1,6,3]=>[7,4,8,6,5,1,3,2]
[1,8,7,5,3,4,6,2]=>[1,6,5,3,7,4,8,2]
[1,8,7,3,5,4,6,2]=>[1,6,7,5,3,4,8,2]
[8,2,5,4,7,1,6,3]=>[7,8,6,5,2,1,4,3]
[8,5,2,7,3,1,6,4]=>[3,7,5,8,6,2,4,1]
[8,7,6,2,4,3,1,5]=>[3,4,6,1,2,7,8,5]
[8,7,6,1,2,4,3,5]=>[6,1,4,2,3,7,8,5]
[8,7,6,1,4,2,3,5]=>[6,4,2,1,3,7,8,5]
[8,7,6,4,1,3,2,5]=>[4,3,1,6,2,7,8,5]
[5,8,4,7,2,1,6,3]=>[2,7,6,8,5,1,4,3]
[1,8,7,5,4,3,6,2]=>[1,6,4,5,7,3,8,2]
[1,6,8,4,3,7,5,2]=>[1,5,4,7,8,6,2,3]
[6,8,7,3,2,5,1,4]=>[5,3,7,1,2,6,8,4]
[6,8,1,7,3,2,5,4]=>[8,3,7,5,2,6,1,4]
[8,5,7,3,1,6,2,4]=>[3,7,6,1,8,2,5,4]
[8,5,7,1,3,2,6,4]=>[7,3,1,6,8,2,5,4]
[8,5,7,3,1,2,6,4]=>[3,1,7,6,8,2,5,4]
[5,8,4,7,1,2,6,3]=>[7,1,6,8,5,2,4,3]
[5,8,4,1,7,2,6,3]=>[4,8,7,6,5,3,2,1]
[5,8,4,7,1,6,2,3]=>[7,6,2,8,5,1,4,3]
[8,1,2,6,5,7,4,3]=>[8,1,4,7,6,2,5,3]
[8,2,5,6,7,4,1,3]=>[4,7,2,8,1,5,6,3]
[4,8,5,7,1,6,2,3]=>[7,6,2,4,8,1,5,3]
[4,8,5,7,1,2,6,3]=>[7,1,6,4,8,2,5,3]
[4,8,5,1,7,2,6,3]=>[5,8,7,4,6,3,2,1]
[8,5,3,1,7,2,6,4]=>[3,5,8,7,6,4,1,2]
[8,5,3,7,1,2,6,4]=>[7,1,5,8,6,2,4,3]
[6,8,1,3,7,2,5,4]=>[8,7,1,5,2,6,3,4]
[4,6,2,8,1,7,5,3]=>[8,6,5,4,7,2,1,3]
[1,6,4,8,3,7,5,2]=>[1,5,7,8,6,2,4,3]
[1,8,7,4,5,3,6,2]=>[1,6,5,7,4,3,8,2]
[4,8,5,7,2,1,6,3]=>[2,7,6,4,8,1,5,3]
[8,5,3,7,2,1,6,4]=>[2,7,5,8,6,1,4,3]
[8,7,6,3,1,4,2,5]=>[3,6,4,2,1,7,8,5]
[8,7,6,1,3,2,4,5]=>[6,3,1,2,4,7,8,5]
[8,5,3,2,7,1,6,4]=>[7,3,5,8,6,1,4,2]
[4,8,5,2,7,1,6,3]=>[7,5,8,4,6,1,3,2]
[1,8,7,4,3,5,6,2]=>[1,6,4,7,3,5,8,2]
[1,8,7,3,4,5,6,2]=>[1,6,7,3,4,5,8,2]
[8,2,4,5,7,1,6,3]=>[7,8,6,2,4,1,5,3]
[8,5,2,3,7,1,6,4]=>[7,5,2,8,6,1,4,3]
[6,3,1,5,4,2,8,7]=>[3,6,4,5,2,1,8,7]
[8,3,1,5,2,7,6,4]=>[3,8,5,6,2,7,1,4]
[8,5,4,2,1,7,3,6]=>[2,4,5,8,7,3,1,6]
[8,5,4,2,1,7,6,3]=>[2,4,5,8,6,7,1,3]
[6,5,4,2,1,3,8,7]=>[2,4,1,5,6,3,8,7]
[6,5,4,2,3,1,8,7]=>[3,4,2,5,6,1,8,7]
[6,3,2,5,1,4,8,7]=>[5,3,6,1,2,4,8,7]
[6,5,4,3,1,2,8,7]=>[3,1,4,5,6,2,8,7]
[6,5,4,1,3,2,8,7]=>[4,3,1,5,6,2,8,7]
[8,5,4,1,2,7,6,3]=>[4,1,5,8,6,7,2,3]
[8,7,4,1,6,3,2,5]=>[4,3,7,6,1,2,8,5]
[8,7,4,1,6,3,5,2]=>[4,7,5,6,1,2,8,3]
[8,7,4,1,6,5,3,2]=>[4,3,7,5,6,2,8,1]
[8,5,4,1,3,7,6,2]=>[4,5,1,8,6,7,3,2]
[8,5,4,3,1,7,6,2]=>[3,4,5,8,6,7,2,1]
[8,3,2,5,1,7,6,4]=>[5,3,8,6,2,7,1,4]
[2,1,8,5,3,7,6,4]=>[2,1,5,8,6,7,4,3]
[8,3,2,5,1,7,4,6]=>[5,3,8,7,2,4,1,6]
[8,5,4,3,1,7,2,6]=>[3,4,5,8,7,1,2,6]
[8,5,4,1,3,7,2,6]=>[4,5,1,8,7,2,3,6]
[8,7,4,1,6,5,2,3]=>[4,7,1,5,6,2,8,3]
[8,7,4,1,6,2,5,3]=>[4,7,6,5,3,2,8,1]
[8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,3]
[8,7,4,3,6,2,1,5]=>[2,6,4,7,1,3,8,5]
[8,3,2,7,6,4,1,5]=>[4,3,6,7,1,8,2,5]
[2,1,8,7,6,4,3,5]=>[2,1,4,6,3,7,8,5]
[2,1,8,7,6,4,5,3]=>[2,1,5,6,4,7,8,3]
[8,3,2,7,6,4,5,1]=>[5,3,8,6,4,7,2,1]
[8,7,4,3,6,2,5,1]=>[5,6,4,7,2,3,8,1]
[8,7,6,5,2,4,3,1]=>[3,4,5,1,6,7,8,2]
[8,5,4,2,3,7,6,1]=>[6,4,1,5,7,8,3,2]
[8,7,4,2,6,5,3,1]=>[3,5,4,6,7,2,8,1]
[8,7,4,2,6,3,5,1]=>[5,4,7,6,2,3,8,1]
[8,7,4,2,6,3,1,5]=>[3,6,4,7,2,1,8,5]
[8,3,1,7,6,4,2,5]=>[3,8,4,6,1,7,2,5]
[8,3,1,7,6,4,5,2]=>[3,8,5,6,4,7,2,1]
[8,3,1,7,6,5,4,2]=>[3,8,4,5,6,7,2,1]
[8,3,1,5,4,7,6,2]=>[3,8,6,5,2,7,4,1]
[8,3,1,5,4,7,2,6]=>[3,8,7,5,2,1,4,6]
[8,3,1,7,6,5,2,4]=>[3,8,5,1,6,7,2,4]
[8,3,1,7,6,2,5,4]=>[3,8,6,5,1,7,2,4]
[8,7,4,2,6,1,5,3]=>[6,4,7,5,1,3,8,2]
[8,7,4,2,6,5,1,3]=>[5,4,2,6,7,1,8,3]
[8,5,4,2,3,7,1,6]=>[7,4,2,5,8,1,3,6]
[8,3,2,5,4,7,1,6]=>[7,3,8,5,2,1,4,6]
[2,1,8,5,4,7,3,6]=>[2,1,7,5,8,3,4,6]
[8,3,2,7,6,5,1,4]=>[5,3,6,1,7,8,2,4]
[8,7,4,3,6,5,1,2]=>[5,1,4,6,7,2,8,3]
[8,7,6,5,3,1,4,2]=>[3,5,4,2,6,7,8,1]
[8,7,6,5,1,3,2,4]=>[5,3,1,2,6,7,8,4]
[8,7,6,5,1,3,4,2]=>[5,4,1,3,6,7,8,2]
[8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,2]
[8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,2]
[8,7,4,3,6,1,5,2]=>[6,5,4,7,1,3,8,2]
[8,3,2,7,6,1,5,4]=>[6,3,7,5,2,8,1,4]
[2,1,8,7,6,3,5,4]=>[2,1,6,5,3,7,8,4]
[8,3,2,7,6,1,4,5]=>[6,3,7,2,4,8,1,5]
[8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,3]
[8,7,6,5,1,2,4,3]=>[5,1,4,2,6,7,8,3]
[7,3,5,1,8,4,6,2]=>[5,6,7,8,3,4,1,2]
[7,3,4,1,8,5,6,2]=>[4,6,7,3,8,5,1,2]
[4,5,6,2,1,8,7,3]=>[2,6,7,4,5,1,8,3]
[1,6,5,2,7,4,3,8]=>[1,5,4,6,7,3,2,8]
[7,4,3,1,8,6,5,2]=>[3,4,7,5,6,8,1,2]
[7,6,5,1,8,4,3,2]=>[5,3,4,6,7,8,1,2]
[7,6,4,1,8,5,3,2]=>[4,3,6,5,7,8,1,2]
[6,4,2,1,8,7,5,3]=>[2,4,6,5,7,3,8,1]
[1,6,4,2,7,5,3,8]=>[1,4,6,5,7,3,2,8]
[1,5,3,2,7,6,4,8]=>[1,3,5,6,2,7,4,8]
[5,3,2,1,8,7,6,4]=>[2,3,5,6,1,7,8,4]
[2,5,3,1,7,8,6,4]=>[3,2,5,6,1,8,7,4]
[2,6,4,1,7,8,5,3]=>[4,2,6,5,8,3,7,1]
[2,6,5,1,7,8,4,3]=>[5,2,4,6,8,3,7,1]
[4,5,7,1,6,8,2,3]=>[7,8,2,4,5,1,6,3]
[6,5,1,2,8,4,3,7]=>[5,1,4,6,8,3,2,7]
[6,4,1,2,8,5,3,7]=>[4,1,6,5,8,3,2,7]
[5,3,1,2,8,6,4,7]=>[3,1,5,6,2,8,4,7]
[4,3,1,2,8,6,5,7]=>[3,1,4,2,6,8,5,7]
[6,1,2,5,8,3,4,7]=>[6,1,8,3,2,5,4,7]
[7,1,3,4,8,2,5,6]=>[7,8,1,3,2,5,4,6]
[7,1,5,6,8,2,3,4]=>[7,8,2,3,1,5,6,4]
[2,6,1,5,7,8,3,4]=>[6,2,8,3,1,5,7,4]
[7,4,1,6,8,5,2,3]=>[4,7,1,5,8,2,6,3]
[5,2,3,1,8,6,7,4]=>[3,5,2,7,1,8,6,4]
[3,5,2,1,6,8,7,4]=>[2,5,3,7,1,6,8,4]
[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]
[6,2,1,5,8,7,3,4]=>[2,6,7,3,1,5,8,4]
[7,3,1,5,8,6,2,4]=>[3,7,6,1,2,8,5,4]
[6,2,4,1,8,5,7,3]=>[4,6,7,2,8,1,5,3]
[6,2,5,1,8,4,7,3]=>[5,6,7,8,2,1,4,3]
[7,3,1,4,8,6,2,5]=>[3,7,6,2,1,8,4,5]
[6,2,1,4,8,7,3,5]=>[2,6,7,1,3,4,8,5]
[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]
[5,2,1,3,8,7,4,6]=>[2,5,1,7,3,4,8,6]
[7,4,1,3,8,5,2,6]=>[4,7,2,5,8,1,3,6]
[7,5,1,3,8,4,2,6]=>[5,4,2,7,8,1,3,6]
[3,6,7,1,4,8,2,5]=>[7,8,3,1,2,6,4,5]
[7,6,1,4,8,3,2,5]=>[6,3,7,2,1,8,4,5]
[4,2,1,3,8,7,5,6]=>[2,4,1,3,7,5,8,6]
[2,6,1,4,7,8,3,5]=>[6,2,8,1,3,4,7,5]
[7,1,4,6,8,2,3,5]=>[7,8,2,1,3,4,6,5]
[7,1,3,5,8,2,4,6]=>[7,8,1,2,3,4,5,6]
[6,1,2,4,8,3,5,7]=>[6,1,8,2,3,4,5,7]
[5,2,3,1,6,4,8,7]=>[3,5,2,6,1,4,8,7]
[7,4,5,2,3,1,8,6]=>[3,5,2,7,4,8,1,6]
[8,6,7,3,5,2,4,1]=>[4,5,7,2,3,8,6,1]
[7,3,5,2,4,1,8,6]=>[4,5,7,2,3,8,1,6]
[6,3,5,2,4,1,8,7]=>[4,5,6,2,3,1,8,7]
[5,2,4,1,6,3,8,7]=>[4,5,6,2,1,3,8,7]
[4,1,6,3,5,2,8,7]=>[4,5,6,1,3,2,8,7]
[6,3,4,1,5,2,8,7]=>[4,5,6,3,1,2,8,7]
[5,2,6,3,4,1,8,7]=>[4,5,6,3,2,1,8,7]
[5,2,7,3,4,1,8,6]=>[4,5,7,3,2,8,1,6]
[5,2,8,6,7,3,4,1]=>[4,5,7,3,2,8,6,1]
[6,2,8,5,7,3,4,1]=>[4,6,7,3,8,2,5,1]
[6,2,7,3,4,1,8,5]=>[4,6,7,3,8,2,1,5]
[7,3,4,1,5,2,8,6]=>[4,5,7,3,1,8,2,6]
[4,1,7,3,5,2,8,6]=>[4,5,7,1,3,8,2,6]
[3,1,7,4,5,2,8,6]=>[3,5,1,7,4,8,2,6]
[2,1,7,4,5,3,8,6]=>[2,1,5,7,4,8,3,6]
[3,1,8,6,7,4,5,2]=>[3,5,1,7,4,8,6,2]
[4,1,8,6,7,3,5,2]=>[4,5,7,1,3,8,6,2]
[8,6,7,3,4,1,5,2]=>[4,5,7,3,1,8,6,2]
[8,5,7,3,4,1,6,2]=>[4,6,7,3,8,1,5,2]
[8,5,6,2,7,3,4,1]=>[4,6,7,3,8,5,2,1]
[8,4,7,3,5,1,6,2]=>[5,6,7,8,3,1,4,2]
[5,1,8,4,7,3,6,2]=>[5,6,7,8,1,3,4,2]
[4,1,8,5,7,3,6,2]=>[4,6,7,1,8,3,5,2]
[3,1,8,5,7,4,6,2]=>[3,6,1,7,8,4,5,2]
[2,1,8,5,7,4,6,3]=>[2,1,6,7,8,4,5,3]
[2,1,7,4,6,3,8,5]=>[2,1,6,7,8,4,3,5]
[3,1,7,4,6,2,8,5]=>[3,6,1,7,8,4,2,5]
[4,1,7,3,6,2,8,5]=>[4,6,7,1,8,3,2,5]
[5,1,7,3,6,2,8,4]=>[5,6,7,8,1,3,2,4]
[6,2,7,3,5,1,8,4]=>[5,6,7,8,3,2,1,4]
[6,2,8,4,7,3,5,1]=>[5,6,7,8,3,2,4,1]
[8,4,7,3,6,2,5,1]=>[5,6,7,8,2,3,4,1]
[7,3,6,2,5,1,8,4]=>[5,6,7,8,2,3,1,4]
[6,2,5,1,7,3,8,4]=>[5,6,7,8,2,1,3,4]
[5,2,4,1,7,3,8,6]=>[4,5,7,2,1,8,3,6]
[6,2,4,1,7,3,8,5]=>[4,6,7,2,8,1,3,5]
[8,5,7,3,6,2,4,1]=>[4,6,7,2,8,3,5,1]
[8,5,7,4,6,2,3,1]=>[3,6,2,7,8,4,5,1]
[7,4,6,2,3,1,8,5]=>[3,6,2,7,8,4,1,5]
[6,2,3,1,7,4,8,5]=>[3,6,2,7,8,1,4,5]
[5,2,3,1,7,4,8,6]=>[3,5,2,7,1,8,4,6]
[4,2,3,1,7,5,8,6]=>[3,4,2,1,7,8,5,6]
[3,1,4,2,8,6,7,5]=>[3,4,1,2,7,8,6,5]
[6,2,3,1,8,5,7,4]=>[3,6,2,7,8,1,5,4]
[8,5,6,2,3,1,7,4]=>[3,6,2,7,8,5,1,4]
[7,4,8,5,6,2,3,1]=>[3,6,2,7,8,5,4,1]
[7,3,8,5,6,2,4,1]=>[4,6,7,2,8,5,3,1]
[8,5,6,2,4,1,7,3]=>[4,6,7,2,8,5,1,3]
[5,2,4,1,8,6,7,3]=>[4,5,7,2,1,8,6,3]
[4,1,5,2,8,6,7,3]=>[4,5,7,1,2,8,6,3]
[3,1,5,2,8,6,7,4]=>[3,5,1,7,2,8,6,4]
[2,1,6,3,8,5,7,4]=>[2,1,6,7,8,3,5,4]
[3,1,6,2,8,5,7,4]=>[3,6,1,7,8,2,5,4]
[4,1,6,2,8,5,7,3]=>[4,6,7,1,8,2,5,3]
[5,1,6,2,8,4,7,3]=>[5,6,7,8,1,2,4,3]
[8,4,6,2,5,1,7,3]=>[5,6,7,8,2,4,1,3]
[7,3,8,4,6,2,5,1]=>[5,6,7,8,2,4,3,1]
[6,2,7,3,8,4,5,1]=>[5,6,7,8,4,2,3,1]
[8,4,5,1,6,2,7,3]=>[5,6,7,8,4,1,2,3]
[5,1,8,4,6,2,7,3]=>[5,6,7,8,1,4,2,3]
[4,1,8,5,6,2,7,3]=>[4,6,7,1,8,5,2,3]
[3,1,8,5,6,2,7,4]=>[3,6,1,7,8,5,2,4]
[2,1,8,5,6,3,7,4]=>[2,1,6,7,8,5,3,4]
[2,1,7,4,8,5,6,3]=>[2,1,6,7,8,5,4,3]
[3,1,7,4,8,5,6,2]=>[3,6,1,7,8,5,4,2]
[4,1,7,3,8,5,6,2]=>[4,6,7,1,8,5,3,2]
[7,3,8,4,5,1,6,2]=>[5,6,7,8,4,1,3,2]
[8,4,5,1,7,3,6,2]=>[5,6,7,8,4,3,1,2]
[7,3,6,2,8,4,5,1]=>[5,6,7,8,4,3,2,1]
[7,8,5,6,1,3,4,2]=>[6,4,1,3,8,5,7,2]
[7,8,1,3,6,2,5,4]=>[8,6,1,5,2,3,7,4]
[1,3,8,4,7,2,5,6]=>[1,7,3,8,2,5,4,6]
[3,6,1,4,7,2,5,8]=>[6,7,3,1,2,4,5,8]
[4,6,1,2,5,7,3,8]=>[6,1,7,4,2,5,3,8]
[1,4,8,2,5,7,3,6]=>[1,8,7,4,2,3,5,6]
[7,8,2,4,5,6,1,3]=>[6,8,1,2,4,5,7,3]
[7,8,1,5,4,6,3,2]=>[8,3,6,5,1,4,7,2]
[7,8,2,1,6,3,4,5]=>[2,8,6,3,4,1,7,5]
[7,8,3,5,6,4,1,2]=>[4,1,6,8,2,5,7,3]
[7,8,1,4,2,3,6,5]=>[8,4,2,1,6,3,7,5]
[7,8,5,1,4,2,6,3]=>[5,4,8,3,6,2,7,1]
[7,8,4,5,3,1,6,2]=>[3,5,6,8,4,2,7,1]
[1,5,8,4,3,2,7,6]=>[1,3,4,8,5,7,2,6]
[5,6,1,4,3,2,7,8]=>[6,3,4,1,5,2,7,8]
[2,6,4,8,3,7,1,5]=>[7,2,8,6,1,4,3,5]
[1,4,6,8,3,7,5,2]=>[1,5,7,4,8,6,2,3]
[2,4,8,5,3,1,6,7]=>[3,2,5,4,8,1,6,7]
[2,5,8,1,4,7,6,3]=>[8,2,6,1,5,7,4,3]
[3,5,8,4,7,6,1,2]=>[6,1,3,7,5,8,2,4]
[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]
[5,6,2,1,4,7,8,3]=>[2,6,8,1,5,4,7,3]
[4,6,2,5,3,1,8,7]=>[3,5,6,4,1,2,8,7]
[4,7,5,1,3,6,8,2]=>[5,7,2,4,8,3,6,1]
[7,5,3,6,2,4,1,8]=>[4,6,5,2,7,3,1,8]
[5,7,3,6,1,4,8,2]=>[6,8,7,1,5,3,4,2]
[5,3,6,7,2,1,8,4]=>[2,7,5,8,3,6,1,4]
[6,1,7,5,2,4,8,3]=>[6,5,7,3,8,1,4,2]
[6,3,1,2,4,5,8,7]=>[3,1,6,2,4,5,8,7]
[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]
[4,6,7,8,3,5,1,2]=>[5,1,8,4,3,6,7,2]
[3,6,1,8,4,2,5,7]=>[6,4,3,8,2,1,5,7]
[1,6,7,5,8,2,4,3]=>[1,8,4,2,7,6,5,3]
[3,5,6,7,8,1,4,2]=>[8,4,3,1,5,6,7,2]
[3,6,5,7,8,2,1,4]=>[2,8,3,1,6,5,7,4]
[5,2,7,6,1,4,3,8]=>[6,5,4,1,2,7,3,8]
[2,5,7,6,8,1,3,4]=>[8,2,1,3,5,7,6,4]
[2,7,5,6,8,4,1,3]=>[4,2,1,8,7,5,6,3]
[2,1,6,8,4,5,3,7]=>[2,1,5,8,4,6,3,7]
[2,7,1,8,5,3,4,6]=>[7,2,5,3,8,4,1,6]
[3,7,6,8,5,4,1,2]=>[4,1,3,5,8,7,6,2]
[4,3,8,5,6,7,1,2]=>[7,1,4,3,8,5,6,2]
[4,2,8,1,6,3,7,5]=>[8,4,6,2,7,1,3,5]
[3,1,8,5,4,6,7,2]=>[3,7,1,5,8,4,6,2]
[3,2,8,4,5,6,1,7]=>[6,3,2,8,4,5,1,7]
[3,4,2,8,6,1,7,5]=>[6,4,3,2,8,7,5,1]
[3,4,7,1,5,2,6,8]=>[7,5,3,4,1,2,6,8]
[4,3,7,8,1,2,6,5]=>[8,1,4,3,6,2,7,5]
[1,7,3,8,5,2,6,4]=>[1,5,8,7,6,3,4,2]
[4,1,8,3,6,2,5,7]=>[4,6,8,1,2,3,5,7]
[5,7,8,6,3,2,1,4]=>[2,3,6,1,5,8,7,4]
[5,7,8,6,1,3,4,2]=>[6,4,1,3,5,8,7,2]
[7,6,5,8,1,3,4,2]=>[8,4,1,3,6,7,5,2]
[1,6,4,3,8,2,5,7]=>[1,8,4,6,2,3,5,7]
[7,1,3,4,8,2,6,5]=>[7,8,1,3,6,2,4,5]
[3,6,5,4,1,2,7,8]=>[4,1,3,5,6,2,7,8]
[2,4,5,1,7,8,6,3]=>[5,2,6,4,1,8,7,3]
[2,6,3,4,5,8,1,7]=>[8,2,6,3,4,5,1,7]
[2,6,4,1,8,3,7,5]=>[4,2,6,8,7,3,1,5]
[7,3,6,4,8,5,1,2]=>[5,1,8,7,6,4,2,3]
[7,2,1,4,8,3,5,6]=>[2,7,8,1,3,5,4,6]
[7,1,6,5,3,8,4,2]=>[7,4,8,5,6,1,2,3]
[7,2,5,6,3,8,1,4]=>[8,7,6,1,2,5,3,4]
[6,5,2,7,1,8,4,3]=>[7,5,4,6,8,3,1,2]
[5,6,2,7,3,1,4,8]=>[3,7,6,2,5,1,4,8]
[5,6,7,4,2,8,1,3]=>[8,4,1,7,5,6,2,3]
[5,7,6,4,1,8,3,2]=>[4,3,6,7,5,8,1,2]
[6,7,1,5,2,8,3,4]=>[7,5,8,3,1,6,2,4]
[1,7,5,2,4,8,3,6]=>[1,5,7,3,8,2,4,6]
[6,1,5,2,8,3,4,7]=>[6,5,8,3,1,2,4,7]
[6,7,5,3,8,4,1,2]=>[4,1,8,5,7,6,2,3]
[1,6,5,4,2,3,8,7]=>[1,4,2,5,6,3,8,7]
[7,1,5,3,4,2,8,6]=>[7,4,5,3,1,8,2,6]
[7,6,1,5,3,2,8,4]=>[6,3,5,7,4,8,2,1]
[7,5,6,4,1,2,8,3]=>[4,1,6,8,7,5,3,2]
[6,7,5,4,3,1,8,2]=>[3,4,5,7,8,6,2,1]
[7,5,2,4,3,1,6,8]=>[3,4,5,1,7,2,6,8]
[7,4,6,1,2,5,3,8]=>[6,1,5,7,2,4,3,8]
[7,1,4,2,5,3,6,8]=>[7,4,5,1,2,3,6,8]
[6,8,1,4,2,5,7,3]=>[8,4,7,1,2,6,5,3]
[1,6,4,2,5,7,3,8]=>[1,4,6,7,3,5,2,8]
[1,6,3,7,5,4,2,8]=>[1,4,5,7,6,3,2,8]
[6,8,1,3,7,5,4,2]=>[8,4,1,5,7,6,3,2]
[7,1,3,5,6,4,2,8]=>[7,4,1,6,3,5,2,8]
[7,3,1,6,4,5,2,8]=>[3,7,5,6,4,2,1,8]
[7,4,2,6,5,1,3,8]=>[5,4,2,6,7,1,3,8]
[7,4,6,3,1,5,2,8]=>[3,6,5,7,2,4,1,8]
[7,2,4,1,5,3,6,8]=>[4,7,5,2,1,3,6,8]
[7,2,3,5,4,1,6,8]=>[4,5,1,7,3,2,6,8]
[6,8,1,2,3,4,7,5]=>[8,1,2,3,7,6,4,5]
[1,5,7,2,3,8,6,4]=>[1,7,2,6,5,8,3,4]
[5,1,8,2,3,6,7,4]=>[5,8,2,7,1,3,6,4]
[5,8,2,3,7,6,4,1]=>[4,6,2,7,5,8,3,1]
[6,2,8,1,3,7,4,5]=>[8,6,1,7,4,2,3,5]
[6,8,2,3,5,4,7,1]=>[7,8,2,5,3,6,4,1]
[6,8,2,4,1,5,7,3]=>[4,8,7,2,1,6,5,3]
[6,8,3,1,2,4,7,5]=>[3,1,8,2,7,6,4,5]
[2,6,4,1,5,7,3,8]=>[4,2,6,7,3,5,1,8]
[2,6,3,5,7,1,4,8]=>[7,2,6,1,3,5,4,8]
[2,5,1,7,8,3,6,4]=>[5,2,8,6,1,3,7,4]
[2,5,3,6,8,4,7,1]=>[7,2,5,8,3,6,4,1]
[2,1,4,7,8,5,6,3]=>[2,1,6,4,8,5,7,3]
[2,4,7,6,8,5,1,3]=>[5,2,1,4,8,7,6,3]
[2,5,3,7,6,1,8,4]=>[6,2,5,7,3,8,4,1]
[2,5,7,8,1,4,6,3]=>[8,2,6,1,5,4,7,3]
[3,5,7,4,1,6,2,8]=>[4,7,3,6,5,2,1,8]
[5,3,4,1,8,6,7,2]=>[4,7,5,3,1,8,6,2]
[5,2,8,4,6,1,7,3]=>[6,5,7,8,2,4,1,3]
[5,2,1,8,6,3,7,4]=>[2,5,6,8,1,7,4,3]
[4,2,8,6,5,3,7,1]=>[7,4,5,2,6,8,3,1]
[4,2,8,5,7,6,3,1]=>[3,6,4,1,7,8,2,5]
[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5]
[4,1,8,6,7,5,3,2]=>[4,3,5,1,7,8,6,2]
[5,3,8,7,6,2,4,1]=>[4,6,5,2,3,7,8,1]
[5,8,4,7,6,2,1,3]=>[2,6,1,7,5,8,3,4]
[5,8,7,4,3,6,1,2]=>[6,1,4,7,5,3,8,2]
[6,4,8,3,1,7,2,5]=>[3,8,7,6,1,4,2,5]
[6,4,2,8,7,1,3,5]=>[7,4,1,6,3,2,8,5]
[6,3,8,7,2,5,1,4]=>[5,7,6,1,2,3,8,4]
[5,8,3,7,1,6,4,2]=>[7,4,6,8,5,1,2,3]
[5,1,3,8,6,7,2,4]=>[5,7,1,2,3,8,6,4]
[1,5,3,7,8,6,2,4]=>[1,6,5,2,3,8,7,4]
[1,5,7,6,4,2,8,3]=>[1,4,6,7,5,8,2,3]
[5,8,7,4,1,6,2,3]=>[4,7,1,6,5,2,8,3]
[6,4,8,1,2,7,3,5]=>[8,1,7,6,3,4,2,5]
[6,8,5,1,2,3,7,4]=>[5,1,2,8,7,6,4,3]
[6,8,5,2,4,3,7,1]=>[7,5,4,2,8,6,3,1]
[6,8,5,3,1,2,7,4]=>[3,1,5,8,7,6,4,2]
[4,5,1,2,7,6,3,8]=>[5,1,6,4,2,7,3,8]
[4,5,1,2,6,8,7,3]=>[5,1,7,4,2,6,8,3]
[3,5,6,1,8,4,7,2]=>[6,7,3,8,5,1,4,2]
[3,5,7,1,2,8,6,4]=>[7,1,3,6,5,8,2,4]
[3,6,2,7,5,1,4,8]=>[5,7,3,2,6,1,4,8]
[4,2,6,1,7,3,5,8]=>[6,4,7,2,3,1,5,8]
[4,6,3,1,2,7,5,8]=>[3,1,6,4,7,2,5,8]
[4,5,3,1,7,6,2,8]=>[3,5,6,4,2,7,1,8]
[4,2,5,7,1,6,3,8]=>[7,4,6,2,5,1,3,8]
[3,5,2,7,8,1,6,4]=>[8,5,3,6,2,1,7,4]
[3,1,4,7,5,6,2,8]=>[3,6,1,4,7,5,2,8]
[3,4,6,5,8,7,1,2]=>[7,1,3,4,6,5,8,2]
[3,1,4,5,8,6,7,2]=>[3,7,1,4,5,8,6,2]
[3,4,6,8,5,2,7,1]=>[7,5,3,4,8,6,2,1]
[3,5,6,2,8,4,7,1]=>[7,6,3,8,5,2,4,1]
[4,2,5,6,1,8,7,3]=>[6,4,7,2,5,1,8,3]
[4,5,3,1,6,8,7,2]=>[3,5,7,4,2,6,8,1]
[2,1,7,5,8,6,4,3]=>[2,1,4,6,8,7,3,5]
[1,2,7,5,3,8,6,4]=>[1,2,5,7,6,8,4,3]
[4,1,2,7,3,8,6,5]=>[4,1,7,2,6,8,3,5]
[6,4,1,7,5,2,3,8]=>[4,6,1,5,7,2,3,8]
[6,1,3,7,5,2,4,8]=>[6,5,1,2,7,3,4,8]
[3,1,2,6,8,5,4,7]=>[3,1,2,5,8,6,4,7]
[3,7,1,2,5,4,8,6]=>[7,1,3,5,2,8,4,6]
[1,3,7,2,4,8,6,5]=>[1,7,3,2,6,8,4,5]
[2,4,1,7,8,6,5,3]=>[4,2,5,1,6,8,7,3]
[3,4,7,5,1,8,6,2]=>[5,7,3,4,6,8,2,1]
[2,7,4,1,5,8,6,3]=>[4,2,7,6,3,8,5,1]
[2,3,7,1,5,8,6,4]=>[7,2,3,6,1,8,5,4]
[5,2,8,1,3,7,4,6]=>[8,5,1,7,2,4,3,6]
[2,1,6,8,3,4,7,5]=>[2,1,8,3,7,6,4,5]
[2,6,8,3,1,5,7,4]=>[3,2,8,7,1,6,5,4]
[2,8,6,4,1,5,7,3]=>[4,2,6,8,1,7,5,3]
[3,6,4,8,5,1,7,2]=>[5,8,3,7,6,1,2,4]
[6,3,7,4,5,1,8,2]=>[5,8,6,7,4,3,1,2]
[2,6,3,7,5,8,1,4]=>[8,2,6,1,7,3,5,4]
[5,2,1,7,8,3,4,6]=>[2,5,8,3,1,4,7,6]
[4,7,2,3,6,8,1,5]=>[8,7,2,4,1,3,6,5]
[5,2,7,3,6,8,1,4]=>[8,5,7,1,2,3,6,4]
[5,7,4,6,2,8,1,3]=>[8,6,1,7,5,4,2,3]
[5,7,3,4,6,1,8,2]=>[6,8,7,3,5,4,1,2]
[5,3,8,4,6,1,7,2]=>[6,7,5,8,3,4,1,2]
[8,5,2,4,1,6,7,3]=>[4,5,8,3,7,1,6,2]
[8,2,3,5,1,6,7,4]=>[5,8,2,7,3,1,6,4]
[4,2,8,3,6,7,1,5]=>[7,4,8,2,1,3,6,5]
[2,4,8,1,7,3,5,6]=>[8,2,7,4,3,5,1,6]
[8,4,1,3,6,2,5,7]=>[4,8,2,6,1,3,5,7]
[4,8,3,1,7,2,5,6]=>[3,8,7,4,1,5,2,6]
[5,2,8,4,7,1,6,3]=>[7,5,6,8,2,1,4,3]
[5,8,4,7,3,1,6,2]=>[3,7,6,8,5,2,4,1]
[4,6,8,3,1,7,5,2]=>[3,8,5,4,7,6,2,1]
[6,3,8,2,7,1,5,4]=>[7,8,6,5,1,3,2,4]
[6,3,1,8,2,4,7,5]=>[3,6,8,1,7,2,4,5]
[5,3,8,1,2,6,4,7]=>[8,1,5,6,3,2,4,7]
[5,7,4,1,6,2,3,8]=>[4,7,1,6,5,2,3,8]
[8,5,4,1,2,6,3,7]=>[4,1,5,8,6,2,3,7]
[5,1,8,4,2,7,3,6]=>[5,4,8,7,1,2,3,6]
[1,6,2,8,5,3,7,4]=>[1,6,5,8,7,2,4,3]
[6,8,5,3,1,7,4,2]=>[3,5,4,8,7,6,1,2]
[8,4,5,1,2,6,3,7]=>[5,1,6,8,4,2,3,7]
[5,6,3,7,1,2,4,8]=>[7,1,6,2,5,3,4,8]
[1,6,3,7,2,8,4,5]=>[1,7,6,8,4,3,2,5]
[6,3,2,7,8,5,1,4]=>[5,3,8,2,6,1,7,4]
[4,5,7,8,3,1,6,2]=>[3,8,6,4,5,2,7,1]
[4,7,2,5,8,1,6,3]=>[8,7,6,4,2,1,5,3]
[8,1,3,4,6,2,5,7]=>[8,6,1,3,2,4,5,7]
[3,8,2,4,6,7,1,5]=>[7,8,3,2,1,4,6,5]
[3,5,6,8,2,7,1,4]=>[7,8,3,1,5,6,2,4]
[2,4,5,6,8,1,7,3]=>[8,2,7,4,5,6,1,3]
[4,8,3,5,6,1,7,2]=>[6,7,8,4,3,5,1,2]
[5,6,2,3,7,8,1,4]=>[8,6,2,1,5,3,7,4]
[5,8,7,3,4,1,2,6]=>[4,1,7,3,5,2,8,6]
[6,8,7,3,4,1,2,5]=>[4,1,7,3,2,6,8,5]
[6,8,4,7,1,5,3,2]=>[7,3,5,8,1,6,4,2]
[6,8,4,7,2,5,3,1]=>[3,5,7,8,1,6,4,2]
[5,4,8,7,2,6,3,1]=>[3,6,7,5,4,1,8,2]
[5,4,8,7,1,6,3,2]=>[7,3,6,5,4,1,8,2]
[5,3,8,7,6,1,2,4]=>[6,1,5,2,3,7,8,4]
[4,3,8,7,6,1,2,5]=>[6,1,4,3,2,7,8,5]
[4,8,3,7,5,1,2,6]=>[5,1,7,4,8,3,2,6]
[8,3,4,6,5,1,2,7]=>[5,1,6,2,8,4,3,7]
[3,8,4,7,5,1,2,6]=>[5,1,3,7,8,4,2,6]
[3,4,8,7,6,1,2,5]=>[6,1,3,4,2,7,8,5]
[3,5,8,7,6,1,2,4]=>[6,1,3,2,5,7,8,4]
[4,5,8,7,6,1,2,3]=>[6,1,2,4,5,7,8,3]
[4,5,8,7,1,6,3,2]=>[7,3,6,4,5,1,8,2]
[4,5,8,7,2,6,3,1]=>[3,6,7,4,5,1,8,2]
[3,5,8,2,7,6,4,1]=>[4,6,3,7,5,8,2,1]
[3,5,8,1,7,6,4,2]=>[8,4,3,6,5,7,1,2]
[2,5,8,1,7,6,4,3]=>[8,2,4,6,5,7,1,3]
[2,5,8,7,1,6,3,4]=>[7,2,6,3,5,1,8,4]
[2,4,8,7,1,6,3,5]=>[7,2,6,4,3,1,8,5]
[2,8,4,7,1,5,3,6]=>[7,2,5,8,1,3,4,6]
[8,2,4,6,1,5,3,7]=>[6,8,5,2,1,4,3,7]
[8,1,4,6,2,5,3,7]=>[8,6,5,1,2,4,3,7]
[1,8,4,7,2,5,3,6]=>[1,7,5,8,2,3,4,6]
[1,4,8,7,2,6,3,5]=>[1,7,6,4,3,2,8,5]
[1,5,8,7,2,6,3,4]=>[1,7,6,3,5,2,8,4]
[1,5,8,2,7,6,4,3]=>[1,8,4,6,5,7,2,3]
[2,5,8,3,7,6,4,1]=>[4,2,6,7,5,8,3,1]
[1,4,2,8,7,6,5,3]=>[1,4,5,2,6,7,8,3]
[1,3,8,2,7,6,4,5]=>[1,8,3,6,4,7,2,5]
[1,8,3,2,7,5,4,6]=>[1,3,8,5,7,4,2,6]
[8,1,3,2,6,5,4,7]=>[8,3,1,5,6,2,4,7]
[8,2,3,1,6,5,4,7]=>[3,8,2,5,6,1,4,7]
[2,8,3,1,7,5,4,6]=>[3,2,8,5,7,4,1,6]
[2,3,8,1,7,6,4,5]=>[8,2,3,6,4,7,1,5]
[3,4,1,8,7,6,5,2]=>[4,5,3,1,6,7,8,2]
[4,3,1,8,7,6,5,2]=>[3,4,5,2,6,7,8,1]
[4,2,1,8,7,6,5,3]=>[2,4,5,1,6,7,8,3]
[3,8,2,1,7,5,4,6]=>[2,8,3,5,7,4,1,6]
[8,3,2,1,6,5,4,7]=>[2,3,8,5,6,1,4,7]
[8,4,2,6,1,5,3,7]=>[6,4,8,5,1,3,2,7]
[4,2,8,7,1,6,3,5]=>[7,4,6,2,3,1,8,5]
[5,2,8,7,1,6,3,4]=>[7,5,6,3,2,1,8,4]
[5,2,8,1,7,6,4,3]=>[8,5,4,6,2,7,1,3]
[5,3,8,1,7,6,4,2]=>[8,4,6,5,2,7,1,3]
[5,3,8,2,7,6,4,1]=>[4,6,7,5,1,8,2,3]
[6,8,3,2,7,5,4,1]=>[4,3,5,7,8,6,2,1]
[6,8,3,1,7,5,4,2]=>[3,8,4,5,7,6,2,1]
[6,8,2,1,7,5,4,3]=>[2,8,4,5,7,6,1,3]
[6,8,2,7,1,5,3,4]=>[7,8,5,3,1,6,2,4]
[6,8,7,2,1,4,3,5]=>[2,7,4,1,3,6,8,5]
[8,5,6,1,2,4,3,7]=>[6,1,4,2,8,5,3,7]
[5,8,7,1,2,4,3,6]=>[7,1,4,2,5,3,8,6]
[6,8,1,2,7,5,4,3]=>[8,1,4,5,7,6,2,3]
[6,8,2,3,7,5,4,1]=>[4,5,2,7,8,6,3,1]
[5,2,8,3,7,6,4,1]=>[4,6,5,7,3,8,2,1]
[5,1,8,3,7,6,4,2]=>[5,4,6,7,1,8,3,2]
[5,1,8,7,2,6,3,4]=>[5,7,6,3,1,2,8,4]
[4,1,8,7,2,6,3,5]=>[4,7,6,1,3,2,8,5]
[4,8,1,7,2,5,3,6]=>[8,7,5,4,2,3,1,6]
[8,4,1,6,2,5,3,7]=>[4,8,6,5,3,2,1,7]
[8,3,1,2,6,5,4,7]=>[3,1,8,5,6,2,4,7]
[3,8,1,2,7,5,4,6]=>[8,1,3,5,7,4,2,6]
[3,1,8,2,7,6,4,5]=>[3,8,1,6,4,7,2,5]
[3,1,2,8,7,6,5,4]=>[3,1,2,5,6,7,8,4]
[4,1,3,8,7,6,5,2]=>[4,5,1,3,6,7,8,2]
[3,1,4,8,7,6,5,2]=>[3,5,1,4,6,7,8,2]
[2,1,8,3,7,6,4,5]=>[2,1,8,6,4,7,3,5]
[2,8,1,3,7,5,4,6]=>[8,2,1,5,7,4,3,6]
[8,2,1,3,6,5,4,7]=>[2,8,1,5,6,3,4,7]
[8,1,2,3,6,5,4,7]=>[8,1,2,5,6,3,4,7]
[1,8,2,3,7,5,4,6]=>[1,8,2,5,7,4,3,6]
[1,2,8,3,7,6,4,5]=>[1,2,8,6,4,7,3,5]
[1,4,3,6,8,2,5,7]=>[1,8,4,3,2,6,5,7]
[3,1,6,2,5,8,4,7]=>[3,6,1,8,2,5,4,7]
[3,5,1,8,2,4,7,6]=>[5,8,3,2,1,7,4,6]
[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]
[1,4,2,6,5,8,3,7]=>[1,4,8,2,6,5,3,7]
[1,5,4,2,6,8,3,7]=>[1,4,5,8,3,6,2,7]
[3,1,6,5,8,2,4,7]=>[3,8,1,2,6,5,4,7]
[1,6,4,2,5,8,3,7]=>[1,4,6,8,3,5,2,7]
[1,5,2,6,4,8,3,7]=>[1,5,8,6,2,4,3,7]
[1,2,6,5,4,8,3,7]=>[1,2,8,5,6,4,3,7]
[1,2,5,4,7,3,8,6]=>[1,2,7,5,4,8,3,6]
[4,1,2,6,3,8,7,5]=>[4,1,6,2,7,3,8,5]
[7,1,5,4,2,8,3,6]=>[7,4,5,8,1,2,3,6]
[1,4,7,5,2,8,3,6]=>[1,5,7,4,8,2,3,6]
[7,1,3,5,2,8,4,6]=>[7,5,1,8,3,4,2,6]
[7,2,5,1,8,3,4,6]=>[5,7,8,3,2,4,1,6]
[1,4,5,2,8,7,3,6]=>[1,5,7,4,2,3,8,6]
[1,6,4,2,8,3,7,5]=>[1,4,6,8,7,3,2,5]
[1,4,2,8,3,7,6,5]=>[1,4,8,2,6,7,3,5]
[1,2,5,3,8,7,6,4]=>[1,2,5,6,3,7,8,4]
[1,2,8,6,5,3,7,4]=>[1,2,5,6,8,7,3,4]
[1,5,2,8,6,3,7,4]=>[1,5,6,8,2,7,4,3]
[1,6,4,2,8,7,3,5]=>[1,4,6,7,2,3,8,5]
[6,2,1,8,7,3,4,5]=>[2,6,7,3,4,1,8,5]
[7,6,2,1,8,3,4,5]=>[2,6,7,1,4,8,3,5]
[7,3,1,6,2,8,4,5]=>[3,7,6,8,4,2,1,5]
[1,7,6,4,2,8,3,5]=>[1,4,6,7,3,8,2,5]
[1,7,5,2,6,3,8,4]=>[1,5,7,6,8,3,4,2]
[1,6,2,7,5,3,8,4]=>[1,6,5,7,8,2,4,3]
[1,2,7,6,5,3,8,4]=>[1,2,5,6,7,8,3,4]
[1,2,6,5,3,8,7,4]=>[1,2,5,6,7,4,8,3]
[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4]
[1,5,2,7,6,3,8,4]=>[1,5,6,7,2,8,4,3]
[1,6,5,2,7,3,8,4]=>[1,5,6,7,8,3,4,2]
[1,5,7,4,2,8,3,6]=>[1,4,7,8,5,2,3,6]
[4,1,2,8,6,3,7,5]=>[4,1,6,2,8,7,5,3]
[3,1,8,6,2,4,7,5]=>[3,6,1,2,8,7,5,4]
[4,3,7,1,8,2,5,6]=>[7,8,4,3,2,5,1,6]
[8,3,1,6,2,4,7,5]=>[3,8,6,1,7,2,4,5]
[7,1,8,3,2,4,6,5]=>[7,3,8,2,6,4,1,5]
[1,8,7,3,2,4,6,5]=>[1,3,7,2,6,4,8,5]
[1,4,2,8,7,3,6,5]=>[1,4,7,2,6,3,8,5]
[1,7,4,2,8,3,6,5]=>[1,4,7,8,6,2,3,5]
[8,1,5,4,2,7,3,6]=>[8,4,5,7,1,2,3,6]
[1,4,8,5,2,7,3,6]=>[1,5,8,4,7,2,3,6]
[8,5,3,1,7,2,4,6]=>[3,5,8,2,7,4,1,6]
[8,6,2,1,7,3,4,5]=>[2,6,8,1,4,7,3,5]
[1,8,6,4,2,7,3,5]=>[1,4,6,8,3,7,2,5]
[1,8,5,2,6,3,7,4]=>[1,5,8,6,7,3,4,2]
[1,5,2,7,3,8,6,4]=>[1,5,7,6,2,8,3,4]
[1,2,8,5,3,7,6,4]=>[1,2,5,8,6,7,4,3]
[1,2,6,3,8,7,5,4]=>[1,2,6,5,7,3,8,4]
[1,2,7,6,3,8,5,4]=>[1,2,6,5,7,8,4,3]
[1,6,2,7,3,8,5,4]=>[1,6,7,5,8,2,3,4]
[1,7,2,8,5,3,6,4]=>[1,7,5,8,6,4,2,3]
[1,7,4,2,8,6,3,5]=>[1,4,7,6,2,8,3,5]
[7,1,8,3,2,6,4,5]=>[7,3,8,6,4,2,1,5]
[7,2,1,8,6,3,4,5]=>[2,7,6,3,4,8,1,5]
[1,8,7,3,2,6,4,5]=>[1,3,7,6,4,2,8,5]
[1,4,2,8,7,6,3,5]=>[1,4,6,2,3,7,8,5]
[1,2,8,7,5,3,6,4]=>[1,2,5,7,6,4,8,3]
[1,2,8,6,3,7,5,4]=>[1,2,6,5,8,7,4,3]
[1,2,7,3,8,6,5,4]=>[1,2,7,5,6,8,3,4]
[4,1,7,3,6,5,8,2]=>[4,8,7,1,6,3,5,2]
[5,1,8,7,6,2,4,3]=>[5,6,4,2,1,7,8,3]
[8,1,7,6,3,4,5,2]=>[8,5,6,3,4,7,1,2]
[5,7,8,6,2,4,1,3]=>[4,6,1,2,5,8,7,3]
[5,7,1,6,2,4,3,8]=>[7,6,4,2,5,1,3,8]
[6,4,1,5,2,7,3,8]=>[4,6,5,7,2,3,1,8]
[8,1,4,5,3,7,6,2]=>[8,6,5,1,4,7,3,2]
[6,1,4,5,3,8,7,2]=>[6,7,5,1,4,3,8,2]
[6,1,4,5,3,7,8,2]=>[6,8,5,1,4,3,7,2]
[5,1,7,8,6,2,4,3]=>[5,6,4,2,1,8,7,3]
[6,1,4,8,3,5,7,2]=>[6,7,8,1,3,4,5,2]
[7,1,8,6,3,4,5,2]=>[7,5,6,3,4,8,1,2]
[7,1,4,5,3,8,6,2]=>[7,6,5,1,4,8,3,2]
[7,1,4,5,3,6,8,2]=>[7,8,5,1,4,3,6,2]
[8,1,4,5,3,6,7,2]=>[8,7,5,1,4,3,6,2]
[7,4,1,5,2,6,3,8]=>[4,7,5,6,2,3,1,8]
[6,3,5,7,2,1,4,8]=>[2,7,6,1,3,5,4,8]
[6,3,5,8,2,1,7,4]=>[2,8,6,7,3,5,1,4]
[6,3,5,7,2,1,8,4]=>[2,7,6,8,3,5,1,4]
[8,4,5,7,3,6,1,2]=>[6,1,7,8,4,3,5,2]
[6,4,5,8,3,7,2,1]=>[2,7,8,6,4,5,3,1]
[5,8,7,6,2,4,1,3]=>[4,6,1,2,5,7,8,3]
[5,4,8,6,3,1,7,2]=>[3,6,8,5,4,7,1,2]
[5,4,1,8,2,3,7,6]=>[4,5,1,8,2,7,3,6]
[5,8,1,6,2,4,3,7]=>[8,6,4,2,5,1,3,7]
[8,4,1,5,2,6,3,7]=>[4,8,5,6,2,3,1,7]
[6,3,5,8,2,1,4,7]=>[2,8,6,1,3,5,4,7]
[2,3,4,1,8,6,5,7]=>[4,2,3,1,6,8,5,7]
[8,3,5,6,2,1,4,7]=>[2,6,8,1,3,5,4,7]
[2,3,8,5,1,4,7,6]=>[5,2,3,1,8,7,4,6]
[2,3,8,6,1,5,7,4]=>[6,2,3,8,4,7,5,1]
[2,8,6,7,1,3,5,4]=>[7,2,1,5,3,8,6,4]
[8,3,5,7,2,1,6,4]=>[2,7,8,6,3,1,5,4]
[2,3,8,5,6,1,7,4]=>[6,2,3,7,8,5,1,4]
[7,4,5,6,3,1,8,2]=>[3,6,8,7,4,5,2,1]
[8,4,5,6,3,1,7,2]=>[3,6,7,8,4,5,2,1]
[7,3,5,6,2,8,1,4]=>[8,6,7,1,3,5,2,4]
[7,3,5,8,2,1,6,4]=>[2,8,7,6,3,1,5,4]
[7,3,5,6,2,1,4,8]=>[2,6,7,1,3,5,4,8]
[2,7,6,5,1,3,4,8]=>[5,2,1,3,6,7,4,8]
[2,7,6,8,1,3,5,4]=>[8,2,1,5,3,7,6,4]
[2,7,6,5,8,3,1,4]=>[3,2,8,1,6,7,5,4]
[8,7,5,6,1,4,2,3]=>[6,4,2,1,7,5,8,3]
[2,6,4,1,8,5,7,3]=>[4,2,6,7,8,3,5,1]
[2,6,1,3,8,5,7,4]=>[6,2,1,7,8,3,5,4]
[2,7,1,3,6,5,8,4]=>[7,2,1,8,6,3,5,4]
[2,7,6,8,4,3,1,5]=>[3,2,4,8,1,7,6,5]
[2,7,6,1,8,3,4,5]=>[6,2,7,1,4,8,3,5]
[2,7,6,1,4,3,5,8]=>[6,2,4,1,3,7,5,8]
[7,3,5,1,2,8,4,6]=>[5,1,7,8,3,4,2,6]
[8,4,1,5,2,3,7,6]=>[4,8,1,5,2,7,3,6]
[7,8,1,6,3,4,2,5]=>[8,4,6,3,2,1,7,5]
[6,4,1,8,3,2,7,5]=>[4,3,6,8,7,2,1,5]
[2,3,8,6,4,1,7,5]=>[4,2,3,6,8,7,5,1]
[2,8,6,7,4,3,1,5]=>[3,2,4,7,1,8,6,5]
[8,3,5,7,2,4,1,6]=>[4,7,8,2,3,1,5,6]
[2,3,4,1,8,7,5,6]=>[4,2,3,1,7,5,8,6]
[2,8,6,1,7,3,4,5]=>[6,2,8,1,4,7,3,5]
[2,3,8,1,6,4,7,5]=>[8,2,3,6,7,1,4,5]
[2,3,8,1,4,5,7,6]=>[8,2,3,1,4,7,5,6]
[2,8,6,1,4,3,5,7]=>[6,2,4,1,3,8,5,7]
[8,4,3,6,5,1,7,2]=>[5,6,4,7,8,1,2,3]
[8,5,6,3,4,1,7,2]=>[4,7,6,3,8,5,1,2]
[8,6,5,4,3,1,7,2]=>[3,4,5,6,8,7,1,2]
[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]
[1,8,6,5,2,7,3,4]=>[1,5,6,3,8,7,2,4]
[8,7,5,4,1,6,3,2]=>[4,3,5,7,6,1,8,2]
[7,8,5,4,1,3,6,2]=>[4,5,1,8,6,3,7,2]
[6,8,5,4,2,1,7,3]=>[2,4,5,8,7,6,1,3]
[5,8,6,2,4,1,7,3]=>[4,6,8,3,5,7,1,2]
[4,8,2,6,5,1,7,3]=>[5,6,8,4,7,3,2,1]
[3,2,8,6,5,1,7,4]=>[5,3,2,6,8,7,1,4]
[3,2,1,7,6,4,5,8]=>[2,3,1,6,4,7,5,8]
[4,1,3,7,6,2,5,8]=>[4,6,1,3,2,7,5,8]
[5,1,7,3,6,2,4,8]=>[5,6,7,2,1,3,4,8]
[6,1,7,5,3,2,4,8]=>[6,3,5,2,7,1,4,8]
[7,1,6,5,2,4,3,8]=>[7,5,4,2,6,1,3,8]
[8,1,6,5,2,3,7,4]=>[8,5,2,6,7,1,4,3]
[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]
[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]
[8,1,7,2,6,3,5,4]=>[8,7,6,5,3,2,1,4]
[7,1,8,2,6,4,3,5]=>[7,8,4,6,3,2,1,5]
[6,1,8,2,4,7,3,5]=>[6,8,7,2,3,1,4,5]
[5,1,8,3,2,7,4,6]=>[5,3,8,7,1,4,2,6]
[4,1,3,8,2,7,5,6]=>[4,8,1,3,7,5,2,6]
[3,2,1,8,4,7,5,6]=>[2,3,1,8,7,5,4,6]
[3,2,8,7,1,6,5,4]=>[7,3,2,5,6,1,8,4]
[4,8,2,7,1,6,5,3]=>[7,8,5,4,6,1,2,3]
[5,8,7,2,1,6,4,3]=>[2,7,4,6,5,1,8,3]
[6,8,7,1,3,5,4,2]=>[7,4,1,5,3,6,8,2]
[7,8,6,1,5,3,4,2]=>[6,4,5,3,1,8,7,2]
[8,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,8,2]
[1,8,7,2,6,5,3,4]=>[1,7,5,3,6,2,8,4]
[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]
[8,6,7,1,4,5,3,2]=>[7,3,5,1,4,8,6,2]
[7,6,8,1,4,3,5,2]=>[8,5,4,1,3,7,6,2]
[6,5,8,3,2,1,7,4]=>[2,3,8,7,6,5,1,4]
[7,5,8,3,1,4,6,2]=>[3,8,6,2,7,4,5,1]
[8,5,7,3,1,6,4,2]=>[3,7,4,6,8,2,5,1]
[1,6,8,4,2,7,3,5]=>[1,4,8,7,2,6,3,5]
[1,5,4,8,2,7,3,6]=>[1,8,7,5,4,3,2,6]
[8,4,3,7,1,6,5,2]=>[7,5,4,6,8,1,2,3]
[7,4,3,8,1,5,6,2]=>[8,6,4,7,1,5,3,2]
[6,4,3,1,5,2,7,8]=>[3,4,6,5,1,2,7,8]
[7,4,3,1,2,6,5,8]=>[3,1,4,7,6,2,5,8]
[8,4,3,1,2,5,7,6]=>[3,1,4,8,2,7,5,6]
[1,5,4,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]
[8,5,1,4,2,3,7,6]=>[5,4,2,1,8,7,3,6]
[7,5,1,4,2,6,3,8]=>[5,4,7,3,6,2,1,8]
[6,5,1,4,3,2,7,8]=>[5,3,4,1,6,2,7,8]
[5,6,1,3,4,2,7,8]=>[6,4,1,3,5,2,7,8]
[4,6,2,1,5,3,7,8]=>[2,6,5,4,1,3,7,8]
[3,2,6,1,5,4,7,8]=>[6,3,2,5,1,4,7,8]
[3,2,7,1,4,6,5,8]=>[7,3,2,1,6,4,5,8]
[4,7,2,1,3,6,5,8]=>[2,7,1,4,6,3,5,8]
[5,7,1,3,2,6,4,8]=>[7,3,1,6,5,2,4,8]
[6,7,1,2,4,5,3,8]=>[7,1,5,2,4,6,3,8]
[7,6,1,2,5,4,3,8]=>[6,1,4,5,2,7,3,8]
[8,6,1,2,5,3,7,4]=>[6,1,5,8,4,7,3,2]
[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]
[8,7,1,2,3,6,5,4]=>[7,1,2,5,6,3,8,4]
[7,8,1,2,3,5,6,4]=>[8,1,2,6,3,5,7,4]
[6,8,1,2,4,3,7,5]=>[8,1,4,2,7,6,3,5]
[5,8,1,3,2,4,7,6]=>[8,3,1,2,5,7,4,6]
[4,8,2,1,3,5,7,6]=>[2,8,1,4,3,7,5,6]
[3,2,8,1,4,5,7,6]=>[8,3,2,1,4,7,5,6]
[4,1,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]
[5,1,2,4,3,6,7,8]=>[5,1,4,2,3,6,7,8]
[6,1,2,3,5,4,7,8]=>[6,1,2,5,3,4,7,8]
[7,1,2,3,4,6,5,8]=>[7,1,2,3,6,4,5,8]
[8,1,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]
[6,7,3,8,5,1,2,4]=>[5,1,8,3,7,6,2,4]
[6,7,4,5,1,8,3,2]=>[5,3,8,7,4,6,1,2]
[5,4,7,6,8,1,2,3]=>[8,1,2,5,4,7,6,3]
[5,3,7,8,6,1,2,4]=>[6,1,5,2,3,8,7,4]
[3,8,4,5,7,1,2,6]=>[7,1,3,8,4,2,5,6]
[3,4,8,6,7,1,2,5]=>[7,1,3,4,2,8,6,5]
[4,5,6,7,1,8,3,2]=>[7,3,8,4,5,6,1,2]
[3,5,6,2,7,4,8,1]=>[8,6,3,7,5,2,4,1]
[3,5,6,1,7,8,4,2]=>[6,4,3,8,5,1,7,2]
[2,5,6,1,8,7,4,3]=>[6,2,4,7,5,1,8,3]
[2,5,6,8,1,7,3,4]=>[8,2,7,3,5,6,1,4]
[8,2,4,5,1,6,3,7]=>[5,8,6,2,4,1,3,7]
[1,4,8,6,2,3,7,5]=>[1,6,2,4,8,7,5,3]
[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]
[1,5,6,2,8,4,7,3]=>[1,6,7,8,5,2,4,3]
[2,5,6,3,4,7,8,1]=>[8,2,6,3,5,4,7,1]
[1,4,2,6,8,5,7,3]=>[1,4,7,2,8,6,5,3]
[8,1,3,2,5,4,6,7]=>[8,3,1,5,2,4,6,7]
[8,2,3,1,5,6,4,7]=>[3,8,2,6,1,5,4,7]
[2,8,3,1,5,7,4,6]=>[3,2,8,7,1,4,5,6]
[2,4,1,6,8,7,5,3]=>[4,2,5,1,7,6,8,3]
[3,4,1,6,7,8,5,2]=>[4,5,3,1,8,6,7,2]
[4,3,1,7,6,8,5,2]=>[3,4,5,2,8,7,6,1]
[5,2,7,8,1,6,3,4]=>[8,5,6,3,2,1,7,4]
[5,3,7,2,6,4,8,1]=>[8,7,5,6,3,2,4,1]
[6,7,3,1,5,8,4,2]=>[3,7,4,8,2,6,5,1]
[6,7,2,1,8,5,4,3]=>[2,7,4,5,8,6,1,3]
[6,7,2,8,1,5,3,4]=>[8,7,5,3,1,6,2,4]
[6,7,8,2,1,4,3,5]=>[2,8,4,1,3,6,7,5]
[6,7,1,2,8,4,5,3]=>[7,1,5,8,4,6,2,3]
[6,7,1,3,4,8,5,2]=>[7,5,1,3,8,6,4,2]
[5,2,7,3,4,6,8,1]=>[8,5,7,3,2,4,6,1]
[5,1,7,3,4,8,6,2]=>[5,6,8,2,1,7,4,3]
[5,1,7,8,2,3,6,4]=>[5,8,2,6,1,3,7,4]
[4,1,8,7,2,3,6,5]=>[4,7,2,1,6,3,8,5]
[3,8,1,2,7,4,5,6]=>[8,1,3,7,4,5,2,6]
[4,1,3,7,5,8,6,2]=>[4,6,1,3,8,7,2,5]
[3,1,4,5,7,8,6,2]=>[3,6,1,4,5,8,7,2]
[2,1,8,3,4,7,6,5]=>[2,1,8,3,6,7,4,5]
[8,2,1,3,4,6,5,7]=>[2,8,1,3,6,4,5,7]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]
[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]
[4,2,1,6,5,8,7,3]=>[2,4,7,1,6,5,8,3]
[5,2,6,1,4,8,7,3]=>[6,5,7,1,2,4,8,3]
[5,2,6,4,1,8,7,3]=>[4,6,5,7,3,2,8,1]
[5,2,7,4,8,1,6,3]=>[8,5,6,7,2,1,4,3]
[5,2,7,4,8,6,1,3]=>[6,5,1,8,2,7,3,4]
[5,7,2,3,8,6,1,4]=>[6,8,1,2,5,7,3,4]
[5,7,2,3,8,1,6,4]=>[8,7,2,6,5,1,3,4]
[5,6,2,3,1,8,7,4]=>[3,6,2,7,5,1,8,4]
[5,6,2,1,3,8,7,4]=>[2,6,1,7,5,3,8,4]
[5,1,6,4,2,8,7,3]=>[5,4,6,7,1,3,8,2]
[5,6,1,3,2,8,7,4]=>[6,3,1,7,5,2,8,4]
[5,6,3,1,2,8,7,4]=>[3,1,6,7,5,2,8,4]
[5,6,3,2,1,8,7,4]=>[2,3,6,7,5,1,8,4]
[5,7,3,2,8,1,6,4]=>[8,3,7,6,5,1,2,4]
[5,7,3,2,8,6,1,4]=>[6,3,8,2,5,7,1,4]
[6,7,3,8,2,1,5,4]=>[2,8,7,5,1,6,3,4]
[6,7,3,8,1,2,5,4]=>[8,1,7,5,2,6,3,4]
[5,7,3,1,8,2,6,4]=>[3,7,8,6,5,1,2,4]
[5,7,1,3,8,2,6,4]=>[7,8,1,6,5,2,3,4]
[5,1,7,4,8,2,6,3]=>[5,8,6,7,1,2,4,3]
[1,5,7,4,8,3,6,2]=>[1,6,8,7,5,3,4,2]
[1,5,7,4,8,6,3,2]=>[1,3,6,8,5,7,2,4]
[5,1,7,4,8,6,2,3]=>[5,6,2,8,1,7,3,4]
[5,7,1,3,8,6,2,4]=>[7,6,1,2,5,8,3,4]
[5,7,3,1,8,6,2,4]=>[3,7,6,1,5,8,2,4]
[6,7,3,8,1,5,2,4]=>[8,5,7,2,1,6,3,4]
[6,7,3,8,5,2,1,4]=>[2,5,8,3,7,6,1,4]
[6,7,8,3,1,4,2,5]=>[3,8,4,2,1,6,7,5]
[6,7,1,8,3,5,2,4]=>[7,5,8,2,3,6,1,4]
[6,1,7,8,4,5,2,3]=>[6,5,2,8,4,1,7,3]
[1,6,7,8,4,5,3,2]=>[1,3,5,8,4,6,7,2]
[1,6,7,8,4,3,5,2]=>[1,5,4,8,3,6,7,2]
[6,1,7,8,4,2,5,3]=>[6,4,8,5,3,1,7,2]
[6,7,1,8,3,2,5,4]=>[7,3,8,5,2,6,1,4]
[5,7,2,1,8,3,6,4]=>[2,7,8,6,5,3,1,4]
[6,7,2,8,1,3,5,4]=>[8,7,1,5,3,6,2,4]
[6,7,2,8,3,1,5,4]=>[3,8,7,5,2,6,1,4]
[6,7,2,8,3,5,1,4]=>[5,7,8,1,3,6,2,4]
[6,2,7,8,4,5,1,3]=>[5,6,1,8,4,2,7,3]
[6,2,7,8,4,1,5,3]=>[4,8,6,5,2,3,7,1]
[6,2,7,8,1,4,5,3]=>[8,6,5,1,4,2,7,3]
[5,2,7,1,8,4,6,3]=>[7,5,6,8,2,4,1,3]
[4,2,1,7,8,5,6,3]=>[2,4,6,1,8,5,7,3]
[4,1,2,7,8,6,5,3]=>[4,1,5,2,6,8,7,3]
[6,2,7,8,1,5,4,3]=>[8,6,4,5,1,2,7,3]
[6,2,7,8,5,1,4,3]=>[5,8,4,2,6,1,7,3]
[6,2,7,8,5,4,1,3]=>[4,5,1,8,6,2,7,3]
[6,7,2,8,5,3,1,4]=>[3,5,8,1,7,6,2,4]
[5,7,2,1,8,6,3,4]=>[2,7,6,3,5,8,1,4]
[5,7,1,2,8,6,3,4]=>[7,1,6,3,5,8,2,4]
[5,1,7,2,8,6,4,3]=>[5,7,4,6,1,8,2,3]
[1,5,7,3,8,6,4,2]=>[1,4,6,8,5,7,3,2]
[1,6,7,8,3,5,4,2]=>[1,4,5,8,2,6,7,3]
[6,1,7,8,2,5,4,3]=>[6,8,4,5,2,1,7,3]
[6,7,1,8,2,5,3,4]=>[7,8,5,3,2,6,1,4]
[6,7,8,2,4,1,3,5]=>[4,8,1,2,3,6,7,5]
[6,7,8,2,4,3,1,5]=>[3,4,8,1,2,6,7,5]
[6,7,1,8,5,2,3,4]=>[7,5,2,3,8,6,1,4]
[6,1,7,8,5,2,4,3]=>[6,5,4,2,8,1,7,3]
[1,6,7,8,5,3,4,2]=>[1,4,5,3,8,6,7,2]
[6,1,7,8,5,4,2,3]=>[6,4,2,5,8,1,7,3]
[6,7,1,8,5,3,2,4]=>[7,3,5,2,8,6,1,4]
[6,7,8,4,1,3,2,5]=>[4,3,1,8,2,6,7,5]
[6,3,8,5,2,7,4,1]=>[4,7,5,8,6,3,1,2]
[6,5,2,8,4,7,3,1]=>[3,7,5,6,8,4,1,2]
[6,3,4,5,8,7,2,1]=>[2,7,6,3,4,5,8,1]
[3,8,4,7,5,2,1,6]=>[2,5,3,7,8,4,1,6]
[5,8,1,4,7,2,3,6]=>[8,7,2,1,5,3,4,6]
[5,6,1,4,8,7,3,2]=>[6,3,7,1,5,4,8,2]
[3,6,4,8,5,7,1,2]=>[7,1,3,6,8,4,5,2]
[5,1,4,8,6,3,7,2]=>[5,7,6,1,4,8,3,2]
[3,4,7,1,8,6,5,2]=>[7,5,3,4,6,8,1,2]
[6,3,8,4,2,7,1,5]=>[7,4,8,6,1,2,3,5]
[3,6,8,7,1,4,2,5]=>[7,4,3,1,2,6,8,5]
[5,3,7,1,6,8,2,4]=>[7,8,5,2,3,1,6,4]
[4,3,8,5,6,7,2,1]=>[2,7,4,3,8,5,6,1]
[5,8,1,7,6,2,4,3]=>[8,6,4,2,5,7,1,3]
[4,6,1,2,7,8,5,3]=>[6,1,5,4,8,2,7,3]
[3,6,4,2,8,7,5,1]=>[5,4,3,7,6,1,8,2]
[6,3,7,5,2,8,1,4]=>[8,5,7,1,6,2,3,4]
[6,5,2,7,4,8,1,3]=>[8,5,1,6,7,4,2,3]
[5,7,1,4,8,3,2,6]=>[7,3,8,1,5,2,4,6]
[7,8,3,5,1,4,6,2]=>[5,6,8,1,3,4,7,2]
[5,8,1,4,6,7,2,3]=>[8,7,2,1,5,4,6,3]
[6,5,8,4,3,7,2,1]=>[2,7,4,8,6,5,3,1]
[6,3,7,4,2,8,5,1]=>[5,4,8,7,6,1,2,3]
[8,7,1,6,2,4,5,3]=>[7,6,5,2,4,1,8,3]
[3,8,6,7,1,4,5,2]=>[7,5,3,1,4,8,6,2]
[5,3,8,7,4,1,2,6]=>[4,1,7,5,2,3,8,6]
[4,3,8,7,1,5,6,2]=>[7,6,4,3,1,5,8,2]
[8,3,6,1,2,5,7,4]=>[6,1,8,7,2,3,5,4]
[5,6,1,8,7,3,2,4]=>[6,3,7,2,5,1,8,4]
[5,4,2,7,3,6,8,1]=>[8,4,5,7,3,2,6,1]
[7,5,3,6,4,2,8,1]=>[8,4,6,5,7,2,3,1]
[6,4,1,5,3,8,2,7]=>[4,6,8,5,2,1,3,7]
[8,5,2,6,4,7,3,1]=>[3,7,5,8,6,4,1,2]
[8,2,6,3,4,7,5,1]=>[5,7,8,1,6,3,4,2]
[7,2,6,3,5,4,8,1]=>[8,7,6,5,3,2,4,1]
[6,2,7,4,3,5,8,1]=>[8,6,4,7,3,2,5,1]
[5,7,3,6,4,2,8,1]=>[8,4,6,7,5,2,3,1]
[3,7,6,4,5,2,8,1]=>[8,5,3,6,4,7,2,1]
[2,7,6,5,3,4,8,1]=>[8,2,5,3,6,7,4,1]
[6,5,4,3,1,8,2,7]=>[3,4,5,6,8,2,1,7]
[8,6,5,4,2,7,3,1]=>[3,7,4,5,6,8,1,2]
[8,5,4,1,7,2,6,3]=>[4,5,8,7,6,1,3,2]
[7,5,4,1,8,3,2,6]=>[4,3,5,7,8,2,1,6]
[1,6,5,2,8,3,4,7]=>[1,5,6,2,8,3,4,7]
[5,7,4,2,1,8,3,6]=>[2,4,7,8,5,1,3,6]
[1,6,5,3,4,8,2,7]=>[1,8,5,3,6,4,2,7]
[5,4,6,3,1,8,2,7]=>[3,6,8,5,4,2,1,7]
[6,5,8,4,2,7,3,1]=>[3,7,4,8,6,5,1,2]
[5,8,2,6,4,7,3,1]=>[3,7,8,6,5,1,4,2]
[3,8,6,2,5,7,4,1]=>[4,7,3,6,1,8,5,2]
[7,8,5,3,2,6,4,1]=>[4,3,6,5,8,1,7,2]
[6,8,3,1,7,2,5,4]=>[3,8,7,5,1,6,2,4]
[1,8,6,3,7,5,2,4]=>[1,5,7,3,6,8,2,4]
[8,7,5,2,6,4,3,1]=>[3,4,6,5,7,2,8,1]
[8,7,1,6,2,5,4,3]=>[7,6,4,5,2,1,8,3]
[7,8,1,6,3,2,5,4]=>[8,3,6,5,2,1,7,4]
[2,8,1,7,3,5,6,4]=>[8,2,7,6,3,5,1,4]
[3,8,6,1,7,4,5,2]=>[6,5,3,8,1,7,4,2]
[4,8,1,3,7,2,6,5]=>[8,7,1,4,6,2,3,5]
[4,2,8,5,7,3,6,1]=>[6,4,7,2,8,3,5,1]
[5,1,7,6,8,3,2,4]=>[5,3,8,2,1,7,6,4]
[3,7,1,5,8,4,2,6]=>[7,4,3,8,1,2,5,6]
[6,7,3,1,8,4,2,5]=>[3,7,4,8,1,6,2,5]
[1,7,3,8,4,5,2,6]=>[1,5,7,8,4,2,3,6]
[1,7,2,8,5,3,4,6]=>[1,7,5,3,8,4,2,6]
[7,6,1,8,4,3,2,5]=>[6,3,4,7,1,8,2,5]
[8,6,1,7,4,2,5,3]=>[6,4,8,5,1,7,3,2]
[8,1,2,7,3,4,6,5]=>[8,1,7,3,6,4,2,5]
[7,1,2,8,3,5,4,6]=>[7,1,8,5,3,4,2,6]
[7,2,6,1,8,4,3,5]=>[6,7,4,8,3,2,1,5]
[8,2,6,1,7,3,5,4]=>[6,8,7,5,3,2,1,4]
[8,3,1,4,7,5,6,2]=>[3,8,6,2,7,5,4,1]
[7,3,1,5,8,4,2,6]=>[3,7,4,8,2,1,5,6]
[4,2,1,5,8,3,6,7]=>[2,4,8,1,5,3,6,7]
[5,4,2,7,1,8,3,6]=>[7,4,5,8,3,2,1,6]
[5,4,3,1,6,8,2,7]=>[3,4,5,8,1,6,2,7]
[4,7,5,6,8,3,2,1]=>[2,3,8,4,7,5,6,1]
[6,5,4,8,2,7,3,1]=>[3,7,8,5,6,4,1,2]
[6,5,2,8,7,3,4,1]=>[4,5,6,2,7,3,8,1]
[6,5,1,8,7,4,2,3]=>[5,4,1,6,7,2,8,3]
[8,6,4,7,5,3,2,1]=>[2,3,5,7,6,8,1,4]
[5,1,8,3,7,6,2,4]=>[5,6,7,3,1,8,2,4]
[5,4,8,1,7,2,6,3]=>[8,7,6,5,4,2,1,3]
[7,5,8,3,2,6,4,1]=>[4,3,6,8,7,1,5,2]
[3,6,8,2,4,7,5,1]=>[5,7,3,1,8,6,4,2]
[5,7,3,8,2,6,4,1]=>[4,6,8,7,5,3,1,2]
[5,4,6,8,2,7,3,1]=>[3,7,8,5,4,6,1,2]
[5,2,6,8,7,3,4,1]=>[4,5,7,3,2,6,8,1]
[4,7,2,8,6,3,5,1]=>[5,7,6,4,3,8,2,1]
[3,6,8,1,7,2,5,4]=>[8,7,3,5,2,6,1,4]
[2,3,8,7,4,5,6,1]=>[6,2,3,7,4,5,8,1]
[7,2,8,6,4,3,5,1]=>[5,7,4,6,3,8,2,1]
[2,1,8,7,5,6,3,4]=>[2,1,6,3,7,5,8,4]
[8,2,7,6,3,5,4,1]=>[4,5,8,6,1,7,3,2]
[8,1,7,6,5,2,4,3]=>[8,5,4,2,6,7,1,3]
[7,1,8,6,5,3,2,4]=>[7,3,5,2,6,8,1,4]
[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]
[1,3,8,7,4,6,2,5]=>[1,6,3,7,2,4,8,5]
[1,5,8,3,7,6,2,4]=>[1,6,7,3,5,8,2,4]
[5,1,6,8,7,4,2,3]=>[5,4,2,7,1,6,8,3]
[6,8,4,7,5,3,2,1]=>[2,3,5,7,8,6,1,4]
[6,8,7,2,5,4,3,1]=>[3,4,5,7,2,6,8,1]
[3,8,7,6,4,5,2,1]=>[2,5,3,6,4,7,8,1]
[2,8,7,6,5,3,4,1]=>[4,2,5,3,6,7,8,1]
[1,8,7,6,5,4,2,3]=>[1,4,2,5,6,7,8,3]
[5,8,6,7,3,4,1,2]=>[4,1,7,3,5,8,6,2]
[4,8,6,7,3,5,1,2]=>[5,1,7,4,3,8,6,2]
[3,8,6,7,4,5,1,2]=>[5,1,3,7,4,8,6,2]
[2,8,6,7,4,5,1,3]=>[5,2,1,7,4,8,6,3]
[1,8,6,7,4,5,2,3]=>[1,5,2,7,4,8,6,3]
[1,8,5,7,4,6,2,3]=>[1,6,2,7,8,4,5,3]
[3,8,5,7,4,6,1,2]=>[6,1,3,7,8,4,5,2]
[4,8,5,7,3,6,1,2]=>[6,1,7,4,8,3,5,2]
[7,8,3,6,4,5,1,2]=>[5,1,8,6,4,3,7,2]
[6,8,3,7,4,5,1,2]=>[5,1,8,7,4,6,3,2]
[5,8,3,7,4,6,1,2]=>[6,1,8,7,5,4,3,2]
[3,7,4,8,5,6,1,2]=>[6,1,3,7,8,5,4,2]
[4,7,3,8,5,6,1,2]=>[6,1,7,4,8,5,3,2]
[4,7,2,8,5,6,1,3]=>[6,7,1,4,8,5,2,3]
[4,7,1,8,5,6,2,3]=>[7,6,2,4,8,5,1,3]
[3,7,1,8,5,6,2,4]=>[7,6,3,2,8,5,1,4]
[3,7,2,8,5,6,1,4]=>[6,7,3,1,8,5,2,4]
[2,7,3,8,5,6,1,4]=>[6,2,7,1,8,5,3,4]
[2,7,4,8,5,6,1,3]=>[6,2,1,7,8,5,4,3]
[5,8,2,7,4,6,1,3]=>[6,8,1,7,5,4,2,3]
[6,8,2,7,4,5,1,3]=>[5,8,1,7,4,6,2,3]
[7,8,2,6,4,5,1,3]=>[5,8,1,6,4,2,7,3]
[7,8,1,6,4,5,2,3]=>[8,5,2,6,4,1,7,3]
[6,8,1,7,4,5,2,3]=>[8,5,2,7,4,6,1,3]
[5,8,1,7,4,6,2,3]=>[8,6,2,7,5,4,1,3]
[1,7,4,8,5,6,2,3]=>[1,6,2,7,8,5,4,3]
[1,7,3,8,5,6,2,4]=>[1,6,7,2,8,5,3,4]
[2,8,5,6,1,7,3,4]=>[6,2,7,3,8,5,1,4]
[1,8,5,6,2,7,3,4]=>[1,6,7,3,8,5,2,4]
[1,7,3,8,4,6,2,5]=>[1,6,7,8,2,4,3,5]
[4,8,1,7,3,6,2,5]=>[8,6,7,4,2,3,1,5]
[5,8,1,7,3,6,2,4]=>[8,6,7,2,5,3,1,4]
[6,8,1,7,3,5,2,4]=>[8,5,7,2,3,6,1,4]
[7,8,2,6,3,5,1,4]=>[5,8,6,1,3,2,7,4]
[6,8,2,7,3,5,1,4]=>[5,8,7,1,3,6,2,4]
[5,8,2,7,3,6,1,4]=>[6,8,7,1,5,3,2,4]
[4,8,2,7,3,6,1,5]=>[6,8,7,4,1,3,2,5]
[2,7,3,8,4,6,1,5]=>[6,2,7,8,1,4,3,5]
[3,7,2,8,4,6,1,5]=>[6,7,3,8,1,4,2,5]
[3,7,1,8,4,6,2,5]=>[7,6,3,8,2,4,1,5]
[1,8,4,7,3,6,2,5]=>[1,6,7,8,2,3,4,5]
[2,8,4,7,3,6,1,5]=>[6,2,7,8,1,3,4,5]
[3,8,4,7,2,6,1,5]=>[6,7,3,8,1,2,4,5]
[4,8,5,7,2,6,1,3]=>[6,7,1,4,8,2,5,3]
[3,8,5,7,2,6,1,4]=>[6,7,3,1,8,2,5,4]
[2,8,5,7,3,6,1,4]=>[6,2,7,1,8,3,5,4]
[1,8,5,7,3,6,2,4]=>[1,6,7,2,8,3,5,4]
[1,8,6,7,3,5,2,4]=>[1,5,7,2,3,8,6,4]
[2,8,6,7,3,5,1,4]=>[5,2,7,1,3,8,6,4]
[3,8,6,7,2,5,1,4]=>[5,7,3,1,2,8,6,4]
[4,8,6,7,2,5,1,3]=>[5,7,1,4,2,8,6,3]
[5,8,6,7,2,4,1,3]=>[4,7,1,2,5,8,6,3]
[6,8,5,7,1,4,2,3]=>[7,4,2,1,8,6,5,3]
[5,8,6,7,1,4,2,3]=>[7,4,2,1,5,8,6,3]
[4,8,6,7,1,5,2,3]=>[7,5,2,4,1,8,6,3]
[3,8,6,7,1,5,2,4]=>[7,5,3,2,1,8,6,4]
[1,5,2,8,6,7,3,4]=>[1,5,7,3,2,8,6,4]
[2,5,1,8,6,7,3,4]=>[5,2,7,3,1,8,6,4]
[2,6,1,8,5,7,3,4]=>[6,2,7,3,8,1,5,4]
[1,6,2,8,5,7,3,4]=>[1,6,7,3,8,2,5,4]
[3,8,5,7,1,6,2,4]=>[7,6,3,2,8,1,5,4]
[6,8,4,7,1,5,2,3]=>[7,5,2,8,1,6,4,3]
[7,8,4,6,1,5,2,3]=>[6,5,2,8,1,4,7,3]
[7,8,3,6,1,5,2,4]=>[6,5,8,2,1,3,7,4]
[6,8,3,7,1,5,2,4]=>[7,5,8,2,1,6,3,4]
[4,8,3,7,1,6,2,5]=>[7,6,8,4,2,1,3,5]
[3,8,4,7,1,6,2,5]=>[7,6,3,8,2,1,4,5]
[1,6,2,8,4,7,3,5]=>[1,6,7,8,3,2,4,5]
[2,6,1,8,4,7,3,5]=>[6,2,7,8,3,1,4,5]
[3,7,2,6,1,8,4,5]=>[6,7,3,8,4,2,1,5]
[3,7,1,6,2,8,4,5]=>[7,6,3,8,4,1,2,5]
[4,8,1,6,2,7,3,5]=>[8,6,7,4,3,1,2,5]
[5,8,1,6,2,7,3,4]=>[8,6,7,3,5,1,2,4]
[7,8,1,5,2,6,3,4]=>[8,5,6,3,1,2,7,4]
[7,8,2,5,1,6,3,4]=>[5,8,6,3,2,1,7,4]
[6,8,2,5,1,7,3,4]=>[5,8,7,3,2,6,1,4]
[5,8,2,6,1,7,3,4]=>[6,8,7,3,5,2,1,4]
[4,8,2,6,1,7,3,5]=>[6,8,7,4,3,2,1,5]
[1,7,3,6,2,8,4,5]=>[1,6,7,8,4,3,2,5]
[2,7,3,6,1,8,4,5]=>[6,2,7,8,4,3,1,5]
[6,7,4,8,3,5,1,2]=>[5,1,8,7,3,6,4,2]
[6,7,4,5,2,8,1,3]=>[8,5,1,7,4,6,2,3]
[5,7,4,6,2,3,1,8]=>[3,6,2,7,5,4,1,8]
[5,7,4,6,3,8,1,2]=>[8,1,6,7,5,4,3,2]
[5,7,4,8,3,6,1,2]=>[6,1,8,7,5,3,4,2]
[6,8,4,5,3,7,1,2]=>[7,1,5,8,4,6,3,2]
[5,8,4,6,3,7,1,2]=>[7,1,6,8,5,4,3,2]
[5,6,4,8,3,7,1,2]=>[7,1,8,6,5,4,3,2]
[5,6,3,7,2,4,1,8]=>[4,7,6,2,5,3,1,8]
[5,6,3,7,2,8,1,4]=>[8,7,6,1,5,3,2,4]
[5,6,3,8,2,7,1,4]=>[7,8,6,1,5,3,2,4]
[5,6,4,8,2,7,1,3]=>[7,8,1,6,5,4,2,3]
[5,8,4,6,2,7,1,3]=>[7,6,1,8,5,4,2,3]
[6,8,4,5,2,7,1,3]=>[7,5,1,8,4,6,2,3]
[7,8,4,5,2,6,1,3]=>[6,5,1,8,4,2,7,3]
[6,8,4,5,2,3,1,7]=>[3,5,2,8,4,6,1,7]
[5,8,4,6,2,3,1,7]=>[3,6,2,8,5,4,1,7]
[5,6,4,8,2,3,1,7]=>[3,8,2,6,5,4,1,7]
[5,6,3,8,2,4,1,7]=>[4,8,6,2,5,3,1,7]
[5,6,3,4,2,8,1,7]=>[8,4,6,3,5,2,1,7]
[4,6,3,5,2,7,1,8]=>[7,5,6,4,3,2,1,8]
[4,6,3,5,2,8,1,7]=>[8,5,6,4,3,2,1,7]
[4,6,3,8,2,5,1,7]=>[5,8,6,4,2,3,1,7]
[4,8,3,6,2,5,1,7]=>[5,6,8,4,2,3,1,7]
[5,8,3,6,2,4,1,7]=>[4,6,8,2,5,3,1,7]
[6,8,3,5,2,4,1,7]=>[4,5,8,2,3,6,1,7]
[7,8,3,5,2,4,1,6]=>[4,5,8,2,3,1,7,6]
[7,8,3,5,2,6,1,4]=>[6,5,8,1,3,2,7,4]
[5,8,3,6,2,7,1,4]=>[7,6,8,1,5,3,2,4]
[4,8,3,6,2,7,1,5]=>[7,6,8,4,1,3,2,5]
[4,6,3,8,2,7,1,5]=>[7,8,6,4,1,3,2,5]
[4,6,3,7,2,8,1,5]=>[8,7,6,4,1,3,2,5]
[4,7,3,6,2,5,1,8]=>[5,6,7,4,2,3,1,8]
[4,7,3,6,2,8,1,5]=>[8,6,7,4,1,3,2,5]
[4,7,3,8,2,6,1,5]=>[6,8,7,4,1,2,3,5]
[5,7,4,8,2,6,1,3]=>[6,8,1,7,5,2,4,3]
[5,7,3,6,2,8,1,4]=>[8,6,7,1,5,3,2,4]
[5,7,3,6,2,4,1,8]=>[4,6,7,2,5,3,1,8]
[6,7,3,5,2,4,1,8]=>[4,5,7,2,3,6,1,8]
[6,7,3,5,2,8,1,4]=>[8,5,7,1,3,6,2,4]
[6,7,4,8,2,5,1,3]=>[5,8,1,7,2,6,4,3]
[6,7,5,8,2,4,1,3]=>[4,8,1,2,7,6,5,3]
[6,8,5,7,2,3,1,4]=>[3,7,2,1,8,6,5,4]
[6,7,4,8,2,3,1,5]=>[3,8,2,7,1,6,4,5]
[6,7,3,8,2,4,1,5]=>[4,8,7,2,1,6,3,5]
[6,7,3,4,2,8,1,5]=>[8,4,7,3,1,6,2,5]
[5,7,3,4,2,6,1,8]=>[6,4,7,3,5,2,1,8]
[5,7,3,4,2,8,1,6]=>[8,4,7,3,5,1,2,6]
[5,7,4,8,2,3,1,6]=>[3,8,2,7,5,1,4,6]
[5,8,4,7,2,3,1,6]=>[3,7,2,8,5,1,4,6]
[6,8,4,7,2,3,1,5]=>[3,7,2,8,1,6,4,5]
[7,8,4,6,2,3,1,5]=>[3,6,2,8,1,4,7,5]
[7,8,3,6,2,4,1,5]=>[4,6,8,2,1,3,7,5]
[6,8,3,7,2,4,1,5]=>[4,7,8,2,1,6,3,5]
[5,8,3,7,2,4,1,6]=>[4,7,8,2,5,1,3,6]
[4,8,3,7,2,5,1,6]=>[5,7,8,4,2,1,3,6]
[4,7,3,8,2,5,1,6]=>[5,8,7,4,2,1,3,6]
[4,7,3,5,2,8,1,6]=>[8,5,7,4,3,1,2,6]
[4,7,3,5,2,6,1,8]=>[6,5,7,4,3,2,1,8]
[4,5,3,7,2,6,1,8]=>[6,7,5,4,3,2,1,8]
[4,5,3,7,2,8,1,6]=>[8,7,5,4,3,1,2,6]
[4,5,3,8,2,7,1,6]=>[7,8,5,4,3,1,2,6]
[4,8,3,5,2,7,1,6]=>[7,5,8,4,3,1,2,6]
[5,8,3,4,2,7,1,6]=>[7,4,8,3,5,1,2,6]
[6,8,3,4,2,7,1,5]=>[7,4,8,3,1,6,2,5]
[7,8,3,4,2,6,1,5]=>[6,4,8,3,1,2,7,5]
[6,8,3,4,2,5,1,7]=>[5,4,8,3,2,6,1,7]
[5,8,3,4,2,6,1,7]=>[6,4,8,3,5,2,1,7]
[4,8,3,5,2,6,1,7]=>[6,5,8,4,3,2,1,7]
[4,5,3,8,2,6,1,7]=>[6,8,5,4,3,2,1,7]
[4,5,3,6,2,8,1,7]=>[8,6,5,4,3,2,1,7]
[4,7,5,2,1,8,3,6]=>[2,5,7,4,8,1,3,6]
[4,8,5,2,1,7,6,3]=>[2,5,8,4,6,7,3,1]
[4,6,5,2,1,3,8,7]=>[2,5,1,4,6,3,8,7]
[5,6,4,2,3,1,8,7]=>[3,4,2,6,5,1,8,7]
[6,4,5,3,1,2,8,7]=>[3,1,5,6,4,2,8,7]
[5,4,6,1,3,2,8,7]=>[6,3,1,5,4,2,8,7]
[4,6,8,1,7,3,2,5]=>[8,3,7,4,2,6,1,5]
[4,7,8,1,6,3,5,2]=>[8,5,6,4,3,1,7,2]
[7,4,8,1,6,5,3,2]=>[8,3,5,6,7,1,2,4]
[5,4,8,1,3,7,6,2]=>[8,6,1,5,4,7,3,2]
[8,4,5,3,1,7,6,2]=>[3,5,6,7,1,8,2,4]
[5,4,7,1,3,8,2,6]=>[7,8,1,5,4,2,3,6]
[6,4,8,1,7,5,2,3]=>[8,5,2,7,6,3,1,4]
[5,6,8,7,2,1,3,4]=>[2,7,1,3,5,6,8,4]
[8,5,7,6,4,2,1,3]=>[2,4,1,6,7,8,3,5]
[8,4,6,3,7,2,1,5]=>[2,7,6,8,1,4,3,5]
[6,3,2,8,7,4,1,5]=>[4,3,7,6,2,1,8,5]
[2,1,6,8,7,4,3,5]=>[2,1,4,7,3,6,8,5]
[2,1,7,8,6,4,5,3]=>[2,1,5,6,4,8,7,3]
[7,3,2,8,6,4,5,1]=>[5,3,7,6,4,8,2,1]
[7,6,8,5,2,4,3,1]=>[3,4,5,1,8,7,6,2]
[5,7,8,6,2,3,1,4]=>[3,6,2,1,5,8,7,4]
[5,8,7,6,3,2,1,4]=>[2,3,6,1,5,7,8,4]
[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]
[5,8,4,2,3,7,6,1]=>[6,4,1,7,5,8,3,2]
[7,8,4,2,6,5,3,1]=>[3,5,4,6,8,2,7,1]
[4,8,7,2,6,3,5,1]=>[5,7,6,4,3,2,8,1]
[4,8,6,2,7,3,1,5]=>[3,7,6,4,2,8,1,5]
[3,6,1,8,7,4,2,5]=>[6,4,3,7,2,1,8,5]
[3,7,1,8,6,4,5,2]=>[7,5,3,6,4,8,1,2]
[3,8,1,6,7,5,2,4]=>[8,5,3,2,7,1,6,4]
[3,7,1,6,8,2,5,4]=>[7,8,3,5,2,1,6,4]
[4,7,6,2,8,1,3,5]=>[8,6,1,4,3,7,2,5]
[6,7,4,2,8,1,5,3]=>[8,4,7,5,1,6,3,2]
[6,8,4,2,7,5,1,3]=>[5,4,2,7,8,6,1,3]
[2,1,8,6,7,5,3,4]=>[2,1,5,3,7,8,6,4]
[8,3,2,6,7,5,1,4]=>[5,3,7,2,8,1,6,4]
[8,6,4,3,7,5,1,2]=>[5,1,4,7,6,8,2,3]
[5,8,6,7,3,1,2,4]=>[3,1,7,2,5,8,6,4]
[6,7,5,8,1,3,4,2]=>[8,4,1,3,7,6,5,2]
[7,6,5,8,1,4,3,2]=>[8,3,4,1,6,7,5,2]
[8,6,5,7,4,1,3,2]=>[4,3,1,7,6,8,5,2]
[7,6,4,3,8,1,5,2]=>[8,5,4,6,1,7,3,2]
[7,3,2,6,8,1,5,4]=>[8,3,7,5,1,2,6,4]
[2,1,7,6,8,3,5,4]=>[2,1,8,5,3,7,6,4]
[7,5,6,8,1,4,2,3]=>[8,4,2,1,7,5,6,3]
[6,5,7,8,1,2,4,3]=>[8,1,4,2,6,5,7,3]
[8,1,3,7,4,6,5,2]=>[8,5,1,6,7,2,3,4]
[5,2,8,7,4,6,1,3]=>[6,5,1,7,2,4,8,3]
[1,6,2,5,4,7,3,8]=>[1,6,7,5,2,4,3,8]
[6,2,7,5,4,8,3,1]=>[3,8,6,5,7,1,4,2]
[8,1,3,5,4,7,6,2]=>[8,6,1,5,3,7,4,2]
[6,1,5,4,3,8,7,2]=>[6,7,4,5,1,3,8,2]
[6,1,8,3,4,5,7,2]=>[6,7,8,3,4,1,5,2]
[7,1,5,3,4,8,6,2]=>[7,6,5,3,1,8,4,2]
[7,1,4,3,5,6,8,2]=>[7,8,4,1,3,5,6,2]
[8,1,3,4,5,6,7,2]=>[8,7,1,3,4,5,6,2]
[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]
[6,3,2,7,5,1,8,4]=>[5,3,7,6,8,4,2,1]
[8,4,7,2,5,6,1,3]=>[6,7,1,8,2,5,4,3]
[6,5,8,2,4,7,3,1]=>[3,7,8,1,6,5,4,2]
[8,5,2,1,4,3,7,6]=>[2,5,4,1,8,7,3,6]
[6,5,2,8,4,1,3,7]=>[4,8,2,5,6,1,3,7]
[5,6,2,1,4,8,3,7]=>[2,6,8,1,5,4,3,7]
[3,6,1,8,5,2,4,7]=>[6,5,3,2,8,1,4,7]
[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]
[3,4,1,2,8,6,5,7]=>[4,1,3,2,6,8,5,7]
[4,3,1,2,6,8,5,7]=>[3,1,4,2,8,6,5,7]
[5,8,1,6,3,2,4,7]=>[8,3,6,2,5,1,4,7]
[6,3,8,5,2,1,4,7]=>[2,5,8,3,6,1,4,7]
[8,3,1,5,2,4,7,6]=>[3,8,5,1,2,7,4,6]
[3,8,2,6,1,5,7,4]=>[6,8,3,7,1,2,5,4]
[3,8,6,7,2,1,5,4]=>[2,7,3,5,1,8,6,4]
[8,5,6,4,2,1,7,3]=>[2,4,6,7,8,5,3,1]
[7,2,5,8,3,1,6,4]=>[3,8,7,6,1,2,5,4]
[1,7,5,6,3,2,4,8]=>[1,3,6,2,7,5,4,8]
[6,1,2,3,8,5,7,4]=>[6,1,2,7,8,3,5,4]
[7,1,2,3,6,5,8,4]=>[7,1,2,8,6,3,5,4]
[7,2,1,3,8,6,4,5]=>[2,7,1,6,4,8,3,5]
[1,5,7,3,2,4,6,8]=>[1,3,7,2,5,4,6,8]
[5,2,7,3,1,8,4,6]=>[3,7,5,8,1,4,2,6]
[5,8,2,4,1,3,7,6]=>[4,8,1,2,5,7,3,6]
[8,7,2,6,3,4,1,5]=>[4,7,6,3,1,2,8,5]
[4,8,1,6,3,2,7,5]=>[8,3,6,4,7,1,2,5]
[3,1,8,6,4,2,7,5]=>[3,4,1,6,8,7,5,2]
[8,1,6,7,4,3,2,5]=>[8,3,4,7,2,1,6,5]
[3,5,8,7,2,4,1,6]=>[4,7,3,2,5,1,8,6]
[4,2,1,3,7,8,5,6]=>[2,4,1,3,8,5,7,6]
[2,4,1,3,8,7,5,6]=>[4,2,1,3,7,5,8,6]
[2,5,8,3,1,7,4,6]=>[3,2,8,7,5,4,1,6]
[8,6,1,3,7,2,4,5]=>[6,8,2,1,4,7,3,5]
[2,8,1,3,6,4,7,5]=>[8,2,1,6,7,3,4,5]
[6,8,2,3,4,1,5,7]=>[4,8,2,3,1,6,5,7]
[5,1,8,3,2,4,6,7]=>[5,3,8,2,1,4,6,7]
[1,4,2,7,8,6,3,5]=>[1,4,6,2,3,8,7,5]
[1,6,2,4,8,5,3,7]=>[1,6,5,2,8,4,3,7]
[1,6,2,4,7,5,3,8]=>[1,6,5,2,7,4,3,8]
[1,7,3,8,5,2,4,6]=>[1,5,8,3,7,4,2,6]
[1,7,3,2,8,6,4,5]=>[1,3,7,6,4,8,2,5]
[4,2,5,7,8,6,1,3]=>[6,4,1,2,5,8,7,3]
[7,2,3,1,8,5,6,4]=>[3,7,2,6,8,5,1,4]
[8,2,5,1,7,3,4,6]=>[5,8,7,3,2,4,1,6]
[6,2,1,8,3,4,7,5]=>[2,6,8,3,7,1,4,5]
[6,2,8,3,5,1,7,4]=>[5,6,8,7,3,2,1,4]
[6,2,4,8,5,7,1,3]=>[7,6,1,2,8,4,5,3]
[1,3,6,4,8,5,7,2]=>[1,7,3,6,8,4,5,2]
[1,3,6,4,7,5,8,2]=>[1,8,3,6,7,4,5,2]
[6,2,4,7,5,8,1,3]=>[8,6,1,2,7,4,5,3]
[6,2,1,3,7,8,4,5]=>[2,6,1,8,4,3,7,5]
[7,8,2,1,4,3,5,6]=>[2,8,4,1,3,5,7,6]
[7,6,4,2,3,1,8,5]=>[3,4,2,6,7,8,5,1]
[5,7,2,3,1,6,8,4]=>[3,7,2,8,5,1,6,4]
[7,5,4,2,6,8,1,3]=>[8,4,1,5,7,2,6,3]
[1,7,5,3,4,6,8,2]=>[1,8,5,3,7,4,6,2]
[8,2,5,4,6,7,1,3]=>[7,8,1,5,2,4,6,3]
[5,2,6,3,1,8,7,4]=>[3,6,5,7,1,2,8,4]
[8,2,6,4,3,1,7,5]=>[3,4,6,8,7,2,1,5]
[8,2,7,4,1,3,5,6]=>[4,7,2,8,3,5,1,6]
[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]
[1,7,4,2,3,5,6,8]=>[1,4,2,7,3,5,6,8]
[6,8,4,1,3,2,5,7]=>[4,3,1,8,2,6,5,7]
[1,8,7,4,3,2,5,6]=>[1,3,4,7,2,5,8,6]
[1,6,3,8,2,4,7,5]=>[1,8,6,2,7,3,4,5]
[5,3,8,1,2,7,4,6]=>[8,1,5,7,3,4,2,6]
[5,1,8,3,2,6,4,7]=>[5,3,8,6,1,2,4,7]
[5,7,3,1,2,6,4,8]=>[3,1,7,6,5,2,4,8]
[1,7,5,4,2,6,3,8]=>[1,4,5,7,6,2,3,8]
[1,5,8,2,4,6,3,7]=>[1,8,6,2,5,4,3,7]
[1,5,8,4,2,7,3,6]=>[1,4,8,7,5,2,3,6]
[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,3,5]
[5,3,1,6,7,2,4,8]=>[3,5,7,1,2,6,4,8]
[5,3,6,1,2,8,4,7]=>[6,1,5,8,3,2,4,7]
[1,6,3,2,7,8,4,5]=>[1,3,6,8,4,2,7,5]
[1,7,4,5,3,8,6,2]=>[1,6,5,8,2,7,3,4]
[6,3,4,1,2,5,8,7]=>[4,1,6,3,2,5,8,7]
[6,3,1,4,2,7,5,8]=>[3,6,4,2,7,1,5,8]
[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]
[8,6,3,2,4,1,7,5]=>[4,3,6,2,8,7,5,1]
[8,5,3,2,6,7,1,4]=>[7,3,5,1,8,2,6,4]
[4,5,2,6,8,1,7,3]=>[8,5,7,4,2,6,1,3]
[4,2,5,6,7,8,1,3]=>[8,4,1,2,5,6,7,3]
[5,2,3,6,7,1,8,4]=>[7,5,2,8,3,6,1,4]
[6,2,3,4,1,7,8,5]=>[4,6,2,3,8,1,7,5]
[7,2,3,1,4,5,8,6]=>[3,7,2,1,4,8,5,6]
[8,6,1,4,3,2,5,7]=>[6,3,4,1,2,8,5,7]
[8,3,1,6,5,2,4,7]=>[3,8,5,1,6,2,4,7]
[3,7,5,1,8,2,4,6]=>[5,7,3,1,8,4,2,6]
[4,1,5,2,8,7,3,6]=>[4,5,7,1,2,3,8,6]
[8,1,2,4,6,5,3,7]=>[8,1,5,2,6,4,3,7]
[8,1,2,5,4,6,3,7]=>[8,1,6,5,2,4,3,7]
[8,2,6,5,1,3,4,7]=>[5,6,2,3,8,1,4,7]
[8,3,1,6,2,5,4,7]=>[3,8,6,5,1,2,4,7]
[8,1,2,6,4,5,3,7]=>[8,1,5,6,4,2,3,7]
[8,1,2,5,6,4,3,7]=>[8,1,4,6,2,5,3,7]
[8,1,2,6,5,4,3,7]=>[8,1,4,5,6,2,3,7]
[1,7,5,4,2,8,3,6]=>[1,4,5,7,8,3,2,6]
[5,1,4,8,2,7,3,6]=>[5,8,7,1,4,3,2,6]
[1,4,6,8,2,7,3,5]=>[1,8,7,4,3,6,2,5]
[1,4,7,6,2,8,3,5]=>[1,6,7,4,2,8,3,5]
[5,1,4,7,2,8,3,6]=>[5,7,8,1,4,3,2,6]
[1,7,4,5,2,8,3,6]=>[1,5,8,7,4,3,2,6]
[3,7,5,1,2,8,4,6]=>[5,1,3,7,8,2,4,6]
[5,7,2,8,1,3,4,6]=>[8,7,1,3,5,4,2,6]
[5,2,8,7,1,3,4,6]=>[7,5,1,3,2,4,8,6]
[4,1,5,8,2,7,3,6]=>[4,8,7,1,5,3,2,6]
[1,4,6,2,8,7,3,5]=>[1,6,7,4,3,2,8,5]
[1,4,2,8,6,7,3,5]=>[1,4,7,2,3,8,6,5]
[3,1,2,6,4,8,7,5]=>[3,1,2,6,7,4,8,5]
[2,1,7,6,3,4,8,5]=>[2,1,6,3,7,8,5,4]
[3,1,2,7,4,6,8,5]=>[3,1,2,7,8,4,6,5]
[1,4,7,2,6,8,3,5]=>[1,7,8,4,3,2,6,5]
[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]
[5,1,4,2,7,8,3,6]=>[5,4,8,1,2,3,7,6]
[1,4,2,7,6,8,3,5]=>[1,4,8,2,3,7,6,5]
[1,4,2,6,8,7,3,5]=>[1,4,7,2,3,6,8,5]
[3,1,2,8,4,6,7,5]=>[3,1,2,8,7,4,6,5]
[3,1,2,7,6,4,8,5]=>[3,1,2,6,7,8,5,4]
[5,3,7,1,8,2,4,6]=>[7,8,5,2,3,4,1,6]
[1,7,4,3,2,5,8,6]=>[1,3,4,7,2,8,5,6]
[4,8,7,2,1,3,5,6]=>[2,7,1,4,3,5,8,6]
[1,8,7,3,4,2,5,6]=>[1,4,7,3,2,5,8,6]
[3,1,7,8,2,6,4,5]=>[3,8,1,6,4,2,7,5]
[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]
[5,2,8,1,3,4,7,6]=>[8,5,1,3,2,7,4,6]
[2,1,8,6,3,4,7,5]=>[2,1,6,3,8,7,5,4]
[1,4,2,6,8,3,7,5]=>[1,4,8,2,7,6,3,5]
[1,2,3,7,8,5,6,4]=>[1,2,3,6,8,5,7,4]
[1,2,3,7,5,8,6,4]=>[1,2,3,6,8,7,4,5]
[1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5]
[3,1,7,2,8,6,4,5]=>[3,7,1,6,4,8,2,5]
[2,1,7,8,3,4,6,5]=>[2,1,8,3,6,4,7,5]
[1,2,3,8,7,5,6,4]=>[1,2,3,6,7,5,8,4]
[4,7,8,5,6,2,1,3]=>[2,6,1,4,8,5,7,3]
[5,7,8,4,2,6,1,3]=>[6,4,1,8,5,2,7,3]
[6,7,8,4,2,5,1,3]=>[5,4,1,8,2,6,7,3]
[8,6,3,7,2,1,5,4]=>[2,7,6,5,1,8,3,4]
[7,6,3,8,2,1,5,4]=>[2,8,6,5,1,7,3,4]
[6,7,8,3,2,1,5,4]=>[2,3,8,5,1,6,7,4]
[5,7,8,3,2,1,6,4]=>[2,3,8,6,5,1,7,4]
[2,7,8,4,3,5,6,1]=>[6,2,4,8,3,5,7,1]
[3,7,8,4,2,5,1,6]=>[5,4,3,8,2,1,7,6]
[4,7,8,3,2,1,5,6]=>[2,3,8,4,1,5,7,6]
[5,7,8,3,2,1,4,6]=>[2,3,8,1,5,4,7,6]
[7,6,3,8,2,1,4,5]=>[2,8,6,1,4,7,3,5]
[8,6,3,7,2,1,4,5]=>[2,7,6,1,4,8,3,5]
[5,6,3,8,2,1,4,7]=>[2,8,6,1,5,3,4,7]
[3,6,4,8,2,5,1,7]=>[5,8,3,6,2,4,1,7]
[2,6,4,8,3,5,7,1]=>[7,2,8,6,3,4,5,1]
[2,6,4,7,3,5,8,1]=>[8,2,7,6,3,4,5,1]
[3,6,4,7,2,5,1,8]=>[5,7,3,6,2,4,1,8]
[4,6,3,7,2,1,5,8]=>[2,7,6,4,1,3,5,8]
[5,6,3,7,2,1,4,8]=>[2,7,6,1,5,3,4,8]
[8,4,3,2,1,6,5,7]=>[2,3,4,8,6,1,5,7]
[6,4,3,2,1,7,5,8]=>[2,3,4,6,7,1,5,8]
[4,5,3,2,7,1,6,8]=>[7,3,5,4,2,1,6,8]
[3,5,4,2,8,6,1,7]=>[6,4,3,5,2,8,1,7]
[6,4,3,2,1,8,5,7]=>[2,3,4,6,8,1,5,7]
[7,4,3,2,1,8,5,6]=>[2,3,4,7,8,5,1,6]
[8,4,3,2,1,7,5,6]=>[2,3,4,8,7,5,1,6]
[8,4,3,2,1,7,6,5]=>[2,3,4,8,6,7,1,5]
[7,4,3,2,1,8,6,5]=>[2,3,4,7,6,8,1,5]
[6,4,3,2,1,8,7,5]=>[2,3,4,6,7,1,8,5]
[5,6,3,8,2,1,7,4]=>[2,8,6,7,5,3,1,4]
[7,5,3,2,8,1,6,4]=>[8,3,5,7,6,1,4,2]
[8,5,4,2,7,6,1,3]=>[6,4,2,5,7,8,1,3]
[7,5,4,2,8,6,1,3]=>[6,4,2,5,8,7,1,3]
[6,5,4,2,8,7,1,3]=>[7,4,1,5,6,2,8,3]
[4,6,5,8,7,2,1,3]=>[2,7,1,4,6,5,8,3]
[2,6,5,7,8,3,4,1]=>[4,2,8,3,6,5,7,1]
[6,5,4,2,7,8,1,3]=>[8,4,1,5,6,2,7,3]
[8,5,4,2,6,7,1,3]=>[7,4,1,5,8,2,6,3]
[8,5,3,2,6,1,7,4]=>[6,3,5,8,7,4,1,2]
[7,5,3,2,6,1,8,4]=>[6,3,5,7,8,4,1,2]
[5,6,3,7,2,1,8,4]=>[2,7,6,8,5,3,1,4]
[4,6,3,7,2,1,8,5]=>[2,7,6,4,8,3,1,5]
[3,6,4,7,2,8,1,5]=>[8,7,3,6,1,4,2,5]
[2,6,4,7,3,8,5,1]=>[5,2,8,7,6,1,4,3]
[3,5,4,2,7,8,1,6]=>[8,4,3,5,2,1,7,6]
[4,5,3,2,7,1,8,6]=>[7,3,5,4,2,8,1,6]
[7,4,3,2,1,6,8,5]=>[2,3,4,7,8,1,6,5]
[8,4,3,2,1,6,7,5]=>[2,3,4,8,7,1,6,5]
[8,4,3,2,1,5,7,6]=>[2,3,4,8,1,7,5,6]
[7,4,3,2,1,5,8,6]=>[2,3,4,7,1,8,5,6]
[6,4,3,2,1,5,8,7]=>[2,3,4,6,1,5,8,7]
[3,5,4,2,6,8,1,7]=>[8,4,3,5,2,6,1,7]
[5,6,3,4,1,2,8,7]=>[4,1,6,3,5,2,8,7]
[8,5,3,7,2,6,4,1]=>[4,6,7,5,8,3,1,2]
[8,5,7,4,2,6,3,1]=>[3,6,4,7,8,1,5,2]
[7,5,8,4,2,6,1,3]=>[6,4,1,8,7,2,5,3]
[2,1,7,8,5,6,3,4]=>[2,1,6,3,8,5,7,4]
[6,8,3,7,5,1,4,2]=>[5,4,7,3,8,6,1,2]
[5,7,3,8,1,6,2,4]=>[8,6,7,2,5,1,3,4]
[3,2,6,4,8,5,1,7]=>[5,3,2,8,6,1,4,7]
[3,2,5,8,4,6,1,7]=>[6,3,2,8,5,4,1,7]
[3,5,2,4,1,7,6,8]=>[4,5,3,2,1,7,6,8]
[4,2,1,5,7,3,6,8]=>[2,4,7,1,5,3,6,8]
[4,5,2,3,7,1,6,8]=>[7,5,2,4,3,1,6,8]
[4,2,5,3,8,1,6,7]=>[8,4,5,2,3,1,6,7]
[4,2,5,8,3,1,6,7]=>[3,8,4,1,5,2,6,7]
[3,1,5,4,2,8,6,7]=>[3,4,1,5,2,8,6,7]
[4,1,5,3,8,2,6,7]=>[4,8,5,1,3,2,6,7]
[4,1,5,8,3,2,6,7]=>[4,3,8,1,5,2,6,7]
[4,3,8,5,2,1,6,7]=>[2,5,4,3,8,1,6,7]
[4,7,3,5,2,1,6,8]=>[2,5,7,4,3,1,6,8]
[4,3,2,7,5,1,6,8]=>[5,3,4,2,7,1,6,8]
[4,3,6,2,5,1,7,8]=>[5,6,4,3,2,1,7,8]
[4,6,3,2,5,1,7,8]=>[5,3,6,4,2,1,7,8]
[4,6,7,1,3,2,5,8]=>[7,3,1,4,2,6,5,8]
[4,5,1,7,3,2,6,8]=>[5,3,7,4,1,2,6,8]
[4,5,1,3,7,2,6,8]=>[5,7,1,4,3,2,6,8]
[3,5,1,4,2,7,6,8]=>[5,4,3,1,2,7,6,8]
[2,5,1,4,3,7,8,6]=>[5,2,4,1,3,8,7,6]
[5,2,1,4,3,7,8,6]=>[2,5,4,1,3,8,7,6]
[5,3,1,4,2,7,6,8]=>[3,5,4,2,1,7,6,8]
[4,3,1,5,7,2,6,8]=>[3,4,7,2,5,1,6,8]
[4,3,1,7,5,2,6,8]=>[3,4,5,2,7,1,6,8]
[4,3,6,1,5,2,7,8]=>[6,5,4,3,1,2,7,8]
[4,6,3,1,5,2,7,8]=>[3,6,5,4,2,1,7,8]
[5,3,6,4,1,2,7,8]=>[4,1,6,5,2,3,7,8]
[4,3,6,1,7,2,5,8]=>[6,7,4,3,2,1,5,8]
[6,3,4,1,2,7,5,8]=>[4,1,6,3,7,2,5,8]
[6,2,4,1,3,7,8,5]=>[4,6,1,2,8,3,7,5]
[3,6,4,1,2,7,5,8]=>[4,1,3,6,7,2,5,8]
[4,6,3,1,7,2,5,8]=>[3,6,7,4,1,2,5,8]
[5,3,6,2,1,4,7,8]=>[2,6,5,1,3,4,7,8]
[5,6,2,7,1,3,4,8]=>[7,6,1,3,5,2,4,8]
[4,5,2,7,3,1,6,8]=>[3,7,5,4,1,2,6,8]
[4,6,7,2,3,1,5,8]=>[3,7,2,4,1,6,5,8]
[4,6,2,1,7,3,5,8]=>[2,6,7,4,3,1,5,8]
[3,2,6,1,4,7,5,8]=>[6,3,2,1,7,4,5,8]
[3,6,2,1,4,7,5,8]=>[2,6,3,1,7,4,5,8]
[3,6,7,2,4,5,1,8]=>[5,7,3,2,4,6,1,8]
[3,5,2,7,4,6,1,8]=>[6,5,3,7,2,4,1,8]
[3,7,2,4,8,5,1,6]=>[5,8,3,1,7,2,4,6]
[7,2,1,4,6,3,8,5]=>[2,7,6,1,8,4,3,5]
[7,3,1,4,6,8,2,5]=>[3,7,8,2,1,4,6,5]
[3,2,6,1,5,7,4,8]=>[6,3,2,7,1,5,4,8]
[3,6,2,1,5,7,4,8]=>[2,6,3,7,1,5,4,8]
[6,3,2,1,5,7,4,8]=>[2,3,6,7,1,5,4,8]
[6,4,2,1,5,3,7,8]=>[2,4,6,5,3,1,7,8]
[4,2,6,1,5,3,7,8]=>[6,4,5,2,1,3,7,8]
[4,2,1,7,5,3,6,8]=>[2,4,5,1,7,3,6,8]
[7,4,1,5,6,2,3,8]=>[4,7,1,6,2,5,3,8]
[7,3,1,5,2,6,4,8]=>[3,7,5,6,2,1,4,8]
[7,2,1,5,3,6,8,4]=>[2,7,5,8,1,3,6,4]
[6,2,5,1,3,7,8,4]=>[5,6,1,8,2,3,7,4]
[6,3,5,1,2,7,4,8]=>[5,1,6,7,3,2,4,8]
[6,4,5,1,7,2,3,8]=>[5,7,2,6,4,1,3,8]
[5,2,6,4,1,3,7,8]=>[4,6,2,5,1,3,7,8]
[4,6,5,1,7,2,3,8]=>[5,6,1,4,7,2,3,8]
[3,6,5,1,2,7,4,8]=>[5,1,3,6,7,4,2,8]
[6,5,2,1,4,7,8,3]=>[2,5,6,3,8,4,7,1]
[6,5,3,1,4,7,2,8]=>[3,5,6,1,7,4,2,8]
[2,3,1,8,5,4,7,6]=>[3,2,1,5,8,7,4,6]
[2,4,1,5,8,3,7,6]=>[4,2,8,1,5,7,3,6]
[2,4,1,5,3,8,7,6]=>[4,2,5,1,3,7,8,6]
[3,4,5,1,2,8,7,6]=>[5,1,3,4,2,7,8,6]
[3,4,5,1,8,2,7,6]=>[5,8,3,4,1,7,2,6]
[1,8,4,5,3,2,7,6]=>[1,3,5,8,4,7,2,6]
[2,4,8,5,3,1,7,6]=>[3,2,5,4,8,7,1,6]
[3,4,5,8,2,1,7,6]=>[2,8,3,4,5,7,1,6]
[3,4,5,2,8,1,7,6]=>[8,5,3,4,2,7,1,6]
[3,4,6,2,1,7,8,5]=>[2,6,3,4,8,1,7,5]
[3,4,6,2,1,7,5,8]=>[2,6,3,4,7,1,5,8]
[3,5,6,2,7,1,4,8]=>[7,6,3,1,5,2,4,8]
[3,5,6,2,7,1,8,4]=>[7,6,3,8,5,2,1,4]
[3,5,6,2,7,8,1,4]=>[8,6,3,1,5,2,7,4]
[3,4,6,2,8,7,1,5]=>[7,6,3,4,1,2,8,5]
[3,4,6,8,2,7,1,5]=>[7,8,3,4,1,6,2,5]
[2,4,8,6,3,7,1,5]=>[7,2,6,4,1,8,3,5]
[1,8,4,6,3,7,2,5]=>[1,7,6,8,2,4,3,5]
[1,8,4,6,3,7,5,2]=>[1,5,7,6,8,2,4,3]
[3,4,6,8,2,7,5,1]=>[5,7,3,4,8,6,1,2]
[3,4,6,2,8,7,5,1]=>[5,7,3,4,6,1,8,2]
[3,5,6,2,7,8,4,1]=>[4,8,3,6,5,1,7,2]
[3,5,6,2,7,4,1,8]=>[4,7,3,6,5,1,2,8]
[4,5,6,7,2,8,3,1]=>[3,8,7,4,5,6,1,2]
[3,5,6,8,7,2,4,1]=>[4,7,3,2,5,6,8,1]
[2,5,8,6,7,3,4,1]=>[4,2,7,3,5,8,6,1]
[1,8,5,6,7,3,4,2]=>[1,4,7,3,8,5,6,2]
[1,8,5,6,7,3,2,4]=>[1,3,7,2,8,5,6,4]
[2,5,8,6,7,3,1,4]=>[3,2,7,1,5,8,6,4]
[3,5,6,8,7,2,1,4]=>[2,7,3,1,5,6,8,4]
[4,5,6,7,2,1,8,3]=>[2,7,8,4,5,6,1,3]
[3,4,6,1,8,7,2,5]=>[6,7,3,4,2,1,8,5]
[2,4,1,6,8,7,3,5]=>[4,2,7,1,3,6,8,5]
[2,3,1,8,6,7,4,5]=>[3,2,1,7,4,8,6,5]
[1,8,3,2,6,7,5,4]=>[1,3,8,5,7,2,6,4]
[2,5,1,6,7,8,4,3]=>[5,2,4,8,1,6,7,3]
[2,5,1,6,7,4,8,3]=>[5,2,8,7,1,6,4,3]
[2,5,1,6,7,4,3,8]=>[5,2,4,7,1,6,3,8]
[3,5,6,1,7,4,2,8]=>[6,4,3,7,5,1,2,8]
[3,5,6,1,7,4,8,2]=>[6,8,3,7,5,1,4,2]
[3,4,6,1,8,7,5,2]=>[6,5,3,4,7,1,8,2]
[3,4,6,8,1,7,5,2]=>[8,5,3,4,7,6,1,2]
[2,4,8,6,1,7,5,3]=>[6,2,5,4,8,7,3,1]
[1,8,4,6,2,7,5,3]=>[1,6,5,7,8,3,2,4]
[1,8,5,6,7,2,4,3]=>[1,7,4,2,8,5,6,3]
[2,5,8,6,7,1,4,3]=>[7,2,4,1,5,8,6,3]
[3,5,6,8,7,1,4,2]=>[7,4,3,1,5,6,8,2]
[4,5,6,7,8,1,3,2]=>[8,3,1,4,5,6,7,2]
[4,5,6,7,1,3,8,2]=>[7,8,1,4,5,6,3,2]
[4,5,6,7,1,3,2,8]=>[7,3,1,4,5,6,2,8]
[4,5,6,7,3,1,8,2]=>[3,7,8,4,5,6,2,1]
[3,5,6,8,7,4,1,2]=>[4,1,3,7,5,6,8,2]
[2,5,8,6,7,4,1,3]=>[4,2,1,7,5,8,6,3]
[1,8,5,6,7,4,2,3]=>[1,4,2,7,8,5,6,3]
[1,8,5,6,7,4,3,2]=>[1,3,4,7,8,5,6,2]
[2,5,8,6,7,4,3,1]=>[3,2,4,7,5,8,6,1]
[8,2,5,3,7,1,6,4]=>[7,8,5,6,2,1,3,4]
[8,2,4,3,7,1,6,5]=>[7,8,4,2,6,1,3,5]
[5,8,2,4,3,7,1,6]=>[7,8,4,2,5,1,3,6]
[4,2,5,6,1,8,3,7]=>[6,4,8,2,5,1,3,7]
[4,2,5,6,1,7,3,8]=>[6,4,7,2,5,1,3,8]
[6,1,5,7,3,2,4,8]=>[6,3,7,2,1,5,4,8]
[6,1,5,8,3,2,4,7]=>[6,3,8,2,1,5,4,7]
[3,8,2,4,7,1,5,6]=>[7,8,3,2,1,5,4,6]
[3,6,8,2,4,7,1,5]=>[7,8,3,2,1,6,4,5]
[4,3,5,6,7,1,8,2]=>[7,8,4,3,5,6,1,2]
[3,7,1,5,6,8,2,4]=>[7,8,3,2,1,5,6,4]
[3,7,1,5,8,2,4,6]=>[7,8,3,2,1,4,5,6]
[8,3,2,4,6,1,5,7]=>[6,3,8,2,1,4,5,7]
[7,3,2,4,6,1,5,8]=>[6,3,7,2,1,4,5,8]
[3,2,5,1,7,4,6,8]=>[5,3,2,7,1,4,6,8]
[3,2,5,1,8,4,6,7]=>[5,3,2,8,1,4,6,7]
[3,2,5,1,7,8,4,6]=>[5,3,2,8,1,4,7,6]
[7,8,3,2,4,6,1,5]=>[6,3,8,2,1,4,7,5]
[6,1,5,7,8,3,2,4]=>[6,3,8,2,1,5,7,4]
[4,2,5,6,1,7,8,3]=>[6,4,8,2,5,1,7,3]
[5,7,6,1,8,3,4,2]=>[6,4,7,1,5,8,3,2]
[5,8,6,1,7,3,4,2]=>[6,4,8,1,5,7,3,2]
[6,1,5,8,7,3,2,4]=>[6,3,7,2,1,5,8,4]
[8,7,3,2,4,6,1,5]=>[6,3,7,2,1,4,8,5]
[3,2,5,1,8,7,4,6]=>[5,3,2,7,1,4,8,6]
[3,2,5,1,6,4,7,8]=>[5,3,2,6,1,4,7,8]
[3,2,4,1,8,7,5,6]=>[4,3,2,1,7,5,8,6]
[3,2,5,1,6,8,7,4]=>[5,3,2,7,1,6,8,4]
[3,8,6,5,1,7,4,2]=>[5,4,3,6,8,7,1,2]
[3,7,6,5,1,8,4,2]=>[5,4,3,6,7,8,1,2]
[6,5,1,7,8,4,2,3]=>[5,4,1,6,8,2,7,3]
[3,2,5,1,6,7,8,4]=>[5,3,2,8,1,6,7,4]
[3,2,4,1,8,5,6,7]=>[4,3,2,1,8,5,6,7]
[3,2,4,1,7,5,6,8]=>[4,3,2,1,7,5,6,8]
[3,2,4,1,6,8,5,7]=>[4,3,2,1,8,6,5,7]
[3,2,4,1,8,5,7,6]=>[4,3,2,1,8,7,5,6]
[8,3,2,4,7,6,1,5]=>[6,3,7,1,2,8,4,5]
[3,2,5,1,8,4,7,6]=>[5,3,2,8,1,7,4,6]
[3,2,5,1,6,7,4,8]=>[5,3,2,7,1,6,4,8]
[6,5,1,7,4,2,3,8]=>[5,4,1,6,7,2,3,8]
[6,5,1,8,4,2,3,7]=>[5,4,1,6,8,2,3,7]
[8,4,2,3,7,5,1,6]=>[5,4,1,7,8,2,3,6]
[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,3,5]
[5,2,6,1,8,3,7,4]=>[6,5,8,7,2,1,3,4]
[8,4,6,1,7,3,5,2]=>[6,5,7,8,3,4,1,2]
[5,2,6,1,8,4,7,3]=>[6,5,7,8,2,1,4,3]
[7,4,2,3,8,5,1,6]=>[5,4,1,8,7,2,3,6]
[8,5,1,6,4,2,3,7]=>[5,4,1,8,6,2,3,7]
[7,5,1,6,4,2,3,8]=>[5,4,1,7,6,2,3,8]
[3,2,5,1,7,6,4,8]=>[5,3,2,6,1,7,4,8]
[3,2,5,1,8,6,4,7]=>[5,3,2,6,1,8,4,7]
[7,3,2,4,8,6,1,5]=>[6,3,8,1,2,7,4,5]
[8,6,1,5,7,3,2,4]=>[6,3,8,1,2,7,5,4]
[4,2,6,1,8,5,7,3]=>[6,4,7,2,8,1,5,3]
[8,5,6,1,7,3,4,2]=>[6,4,7,3,8,5,1,2]
[3,6,8,5,1,7,4,2]=>[5,4,3,8,7,6,2,1]
[8,5,1,6,7,4,2,3]=>[5,4,1,8,7,2,6,3]
[3,2,5,1,8,6,7,4]=>[5,3,2,7,1,8,6,4]
[3,2,4,1,8,6,5,7]=>[4,3,2,1,6,8,5,7]
[3,2,4,1,5,8,6,7]=>[4,3,2,1,5,8,6,7]
[3,2,5,1,7,8,6,4]=>[5,3,2,6,1,8,7,4]
[7,8,5,1,6,4,2,3]=>[5,4,1,8,6,2,7,3]
[3,8,5,1,7,6,4,2]=>[5,4,3,8,6,7,2,1]
[3,7,5,1,8,6,4,2]=>[5,4,3,7,6,8,2,1]
[8,7,5,1,6,4,2,3]=>[5,4,1,7,6,2,8,3]
[3,2,5,1,8,7,6,4]=>[5,3,2,6,1,7,8,4]
[6,5,7,3,1,8,4,2]=>[3,7,4,8,6,5,2,1]
[4,6,3,7,1,8,5,2]=>[7,5,8,4,6,2,1,3]
[4,6,3,7,5,1,8,2]=>[5,7,8,4,6,1,2,3]
[4,2,6,1,7,5,3,8]=>[6,4,5,2,7,1,3,8]
[2,5,7,4,1,6,3,8]=>[4,2,7,6,5,3,1,8]
[2,5,7,4,1,6,8,3]=>[4,2,7,8,5,3,6,1]
[5,4,7,3,6,1,8,2]=>[6,8,7,5,4,3,1,2]
[5,4,7,8,3,1,6,2]=>[3,8,6,5,4,2,7,1]
[4,3,7,5,1,8,6,2]=>[5,7,4,3,6,8,2,1]
[6,4,3,8,5,1,7,2]=>[5,8,4,7,6,1,2,3]
[5,8,4,3,6,1,7,2]=>[6,7,4,8,5,3,1,2]
[5,4,8,3,6,1,7,2]=>[6,7,8,5,4,3,1,2]
[5,4,3,6,7,1,8,2]=>[7,8,4,5,3,6,1,2]
[2,5,4,6,1,7,3,8]=>[6,2,7,5,4,1,3,8]
[3,2,5,8,1,6,7,4]=>[8,3,2,7,5,1,6,4]
[2,5,4,6,8,1,7,3]=>[8,2,7,5,4,6,1,3]
[5,2,8,4,1,6,7,3]=>[4,8,5,7,3,2,6,1]
[4,6,2,1,8,5,7,3]=>[2,6,7,4,8,1,5,3]
[2,4,1,7,5,8,6,3]=>[4,2,6,1,8,7,3,5]
[2,4,1,7,5,3,8,6]=>[4,2,5,1,7,8,3,6]
[2,6,4,1,8,5,3,7]=>[4,2,6,5,8,3,1,7]
[5,4,8,2,1,6,3,7]=>[2,8,6,5,4,1,3,7]
[2,5,8,4,1,6,3,7]=>[4,2,8,6,5,3,1,7]
[3,2,5,6,1,8,4,7]=>[6,3,2,8,5,1,4,7]
[4,8,3,2,6,1,5,7]=>[6,3,8,4,1,2,5,7]
[3,5,2,8,1,6,4,7]=>[8,5,3,6,2,1,4,7]
[3,2,1,6,8,5,4,7]=>[2,3,1,5,8,6,4,7]
[3,2,7,1,5,4,8,6]=>[7,3,2,5,1,8,4,6]
[3,2,7,1,5,8,6,4]=>[7,3,2,6,1,8,5,4]
[3,8,2,5,1,6,7,4]=>[5,8,3,7,2,1,6,4]
[4,8,3,2,6,7,1,5]=>[7,3,8,4,1,2,6,5]
[4,3,8,2,6,7,1,5]=>[7,8,4,3,1,2,6,5]
[4,3,2,6,7,8,1,5]=>[8,3,4,2,1,6,7,5]
[4,3,2,6,7,1,5,8]=>[7,3,4,2,1,6,5,8]
[4,3,7,2,6,8,1,5]=>[8,7,4,3,1,2,6,5]
[4,3,7,8,2,6,1,5]=>[6,8,4,3,1,2,7,5]
[2,5,7,4,8,1,6,3]=>[8,2,6,7,5,1,4,3]
[3,2,5,7,8,1,6,4]=>[8,3,2,6,5,1,7,4]
[3,2,5,7,1,6,8,4]=>[7,3,2,8,5,1,6,4]
[3,2,5,7,1,6,4,8]=>[7,3,2,6,5,1,4,8]
[6,3,2,7,1,5,4,8]=>[7,3,6,5,1,2,4,8]
[6,3,2,7,1,5,8,4]=>[7,3,6,8,1,2,5,4]
[6,3,2,7,8,1,5,4]=>[8,3,6,5,1,2,7,4]
[4,2,6,1,7,8,5,3]=>[6,4,5,2,8,1,7,3]
[6,5,2,1,7,8,4,3]=>[2,5,4,6,8,3,7,1]
[2,1,7,5,3,8,6,4]=>[2,1,5,7,6,8,4,3]
[6,2,1,8,5,3,7,4]=>[2,6,5,8,7,1,4,3]
[6,3,2,7,1,4,8,5]=>[7,3,6,1,8,2,4,5]
[6,3,2,1,4,7,8,5]=>[2,3,6,1,8,4,7,5]
[6,3,2,1,4,7,5,8]=>[2,3,6,1,7,4,5,8]
[3,5,2,1,7,4,6,8]=>[2,5,3,7,1,4,6,8]
[3,5,2,1,7,8,4,6]=>[2,5,3,8,1,4,7,6]
[5,8,4,2,1,7,3,6]=>[2,4,8,7,5,1,3,6]
[4,6,2,1,8,3,7,5]=>[2,6,8,4,7,1,3,5]
[2,4,1,7,3,8,6,5]=>[4,2,7,1,6,8,3,5]
[3,2,7,1,4,8,6,5]=>[7,3,2,1,6,8,4,5]
[3,5,8,2,1,7,4,6]=>[2,8,3,7,5,4,1,6]
[4,8,3,7,2,1,5,6]=>[2,7,8,4,1,5,3,6]
[4,3,7,2,8,1,5,6]=>[8,7,4,3,1,5,2,6]
[4,3,7,2,1,5,6,8]=>[2,7,4,3,1,5,6,8]
[4,8,3,2,7,1,5,6]=>[7,3,8,4,1,5,2,6]
[3,5,2,8,1,7,4,6]=>[8,5,3,7,2,4,1,6]
[6,3,2,8,1,4,7,5]=>[8,3,6,1,7,2,4,5]
[3,2,1,4,7,5,8,6]=>[2,3,1,4,7,8,5,6]
[5,3,2,1,8,4,6,7]=>[2,3,5,8,1,4,6,7]
[4,8,3,2,1,5,6,7]=>[2,3,8,4,1,5,6,7]
[4,3,8,2,1,5,6,7]=>[2,8,4,3,1,5,6,7]
[6,2,3,1,5,4,8,7]=>[3,6,2,5,1,4,8,7]
[8,4,5,2,3,1,7,6]=>[3,5,2,8,4,7,1,6]
[8,6,7,2,5,3,4,1]=>[4,7,5,3,2,8,6,1]
[8,2,5,3,4,1,7,6]=>[4,8,5,3,2,7,1,6]
[6,2,5,3,4,1,8,7]=>[4,6,5,3,2,1,8,7]
[6,1,5,2,4,3,8,7]=>[6,5,4,2,1,3,8,7]
[6,4,5,1,3,2,8,7]=>[5,3,1,6,4,2,8,7]
[6,1,5,3,4,2,8,7]=>[6,4,5,3,1,2,8,7]
[6,3,5,1,4,2,8,7]=>[5,4,6,1,3,2,8,7]
[8,3,5,2,4,1,7,6]=>[4,5,8,2,3,7,1,6]
[8,3,7,5,6,2,4,1]=>[4,6,8,2,7,5,3,1]
[8,3,7,2,4,1,6,5]=>[4,7,8,2,6,1,3,5]
[8,3,5,1,4,2,7,6]=>[5,4,8,1,3,7,2,6]
[8,1,5,3,4,2,7,6]=>[8,4,5,3,1,7,2,6]
[8,4,5,1,3,2,7,6]=>[5,3,1,8,4,7,2,6]
[2,1,8,4,5,3,7,6]=>[2,1,5,8,4,7,3,6]
[8,6,7,4,5,1,3,2]=>[5,3,1,7,4,8,6,2]
[8,6,7,1,5,3,4,2]=>[7,4,5,3,1,8,6,2]
[8,6,7,3,5,1,4,2]=>[5,4,7,1,3,8,6,2]
[8,3,7,5,6,1,4,2]=>[6,4,8,1,7,5,3,2]
[8,5,7,3,6,1,4,2]=>[6,4,7,1,8,3,5,2]
[8,3,7,4,6,2,5,1]=>[5,6,8,7,2,4,3,1]
[8,3,7,4,6,1,5,2]=>[6,5,8,7,1,4,3,2]
[8,3,7,1,6,4,5,2]=>[7,5,8,6,4,1,3,2]
[8,1,7,3,6,4,5,2]=>[8,5,7,6,4,3,1,2]
[8,1,7,5,6,3,4,2]=>[8,4,6,3,7,5,1,2]
[8,4,7,5,6,1,3,2]=>[6,3,1,8,7,5,4,2]
[2,1,8,4,7,5,6,3]=>[2,1,6,8,7,5,4,3]
[8,1,7,3,4,2,6,5]=>[8,4,7,3,6,2,1,5]
[8,1,7,3,6,2,5,4]=>[8,6,7,5,2,3,1,4]
[8,3,7,1,6,2,5,4]=>[7,6,8,5,2,1,3,4]
[8,3,7,2,6,4,5,1]=>[5,7,8,6,4,2,3,1]
[8,2,7,3,6,4,5,1]=>[5,8,7,6,4,3,2,1]
[8,2,7,3,6,1,5,4]=>[6,8,7,5,1,3,2,4]
[8,2,7,1,6,3,5,4]=>[7,8,6,5,3,1,2,4]
[8,1,7,2,4,3,6,5]=>[8,7,4,2,6,3,1,5]
[8,1,3,2,7,4,6,5]=>[8,3,1,7,6,4,2,5]
[2,1,8,3,7,4,6,5]=>[2,1,8,7,6,4,3,5]
[8,1,5,2,4,3,7,6]=>[8,5,4,2,1,7,3,6]
[8,2,7,1,4,3,6,5]=>[7,8,4,1,6,3,2,5]
[8,2,7,3,4,1,6,5]=>[4,8,7,3,6,1,2,5]
[8,2,7,5,6,3,4,1]=>[4,8,6,3,7,5,2,1]
[8,4,7,5,6,2,3,1]=>[3,6,2,8,7,5,4,1]
[8,4,7,2,3,1,6,5]=>[3,7,2,8,6,1,4,5]
[8,2,3,1,7,4,6,5]=>[3,8,2,7,6,4,1,5]
[8,2,3,1,5,4,7,6]=>[3,8,2,5,1,7,4,6]
[4,2,3,1,8,5,7,6]=>[3,4,2,1,8,7,5,6]
[4,1,3,2,8,6,7,5]=>[4,3,1,2,7,8,6,5]
[8,6,7,2,3,1,5,4]=>[3,7,2,5,1,8,6,4]
[8,2,3,1,7,5,6,4]=>[3,8,2,6,7,5,1,4]
[8,5,7,2,6,3,4,1]=>[4,7,6,3,8,2,5,1]
[8,5,7,2,6,1,4,3]=>[6,7,4,1,8,2,5,3]
[8,2,7,5,6,1,4,3]=>[6,8,4,1,7,5,2,3]
[8,6,7,2,5,1,4,3]=>[5,7,4,1,2,8,6,3]
[8,6,7,1,5,2,4,3]=>[7,5,4,2,1,8,6,3]
[8,6,7,1,3,2,5,4]=>[7,3,1,5,2,8,6,4]
[2,1,8,6,7,3,5,4]=>[2,1,7,5,3,8,6,4]
[2,1,8,3,7,5,6,4]=>[2,1,8,6,7,5,3,4]
[8,1,3,2,7,5,6,4]=>[8,3,1,6,7,5,2,4]
[8,1,7,5,6,2,4,3]=>[8,6,4,2,7,5,1,3]
[8,1,7,2,6,4,5,3]=>[8,7,5,6,4,2,1,3]
[8,2,7,1,6,4,5,3]=>[7,8,5,6,4,1,2,3]
[8,2,7,4,6,1,5,3]=>[6,8,5,7,1,4,2,3]
[8,2,7,4,6,3,5,1]=>[5,8,6,7,3,4,2,1]
[8,4,7,2,6,3,5,1]=>[5,7,6,8,3,2,4,1]
[8,4,7,2,6,1,5,3]=>[6,7,5,8,1,2,4,3]
[8,4,7,1,6,2,5,3]=>[7,6,5,8,2,1,4,3]
[8,1,7,4,6,2,5,3]=>[8,6,5,7,2,4,1,3]
[8,5,7,1,6,2,4,3]=>[7,6,4,2,8,1,5,3]
[2,1,8,5,7,3,6,4]=>[2,1,7,6,8,3,5,4]
[8,5,7,4,6,1,3,2]=>[6,3,1,7,8,4,5,2]
[8,5,7,1,6,3,4,2]=>[7,4,6,3,8,1,5,2]
[8,1,7,4,6,3,5,2]=>[8,5,6,7,3,4,1,2]
[8,4,7,1,6,3,5,2]=>[7,5,6,8,3,1,4,2]
[8,4,7,3,6,1,5,2]=>[6,5,7,8,1,3,4,2]
[2,4,8,3,6,1,7,5]=>[6,2,8,4,7,3,1,5]
[6,5,8,1,3,2,7,4]=>[8,3,1,7,6,5,2,4]
[4,5,8,6,3,2,7,1]=>[7,3,6,4,5,8,2,1]
[6,5,8,7,3,1,2,4]=>[3,1,7,2,6,5,8,4]
[1,5,8,7,3,6,2,4]=>[1,6,7,2,5,3,8,4]
[1,7,2,8,4,6,5,3]=>[1,7,5,6,8,3,2,4]
[6,7,2,8,4,1,5,3]=>[4,8,7,5,2,6,3,1]
[3,6,2,8,4,5,7,1]=>[7,6,3,8,4,2,5,1]
[2,6,1,8,4,5,7,3]=>[6,2,7,8,4,1,5,3]
[2,8,4,6,1,5,7,3]=>[6,2,7,8,1,4,5,3]
[6,3,1,8,4,5,7,2]=>[3,6,7,8,4,2,5,1]
[3,1,6,8,4,5,7,2]=>[3,7,1,8,4,6,5,2]
[2,3,6,8,4,5,7,1]=>[7,2,3,8,4,6,5,1]
[6,3,7,8,4,1,5,2]=>[4,8,5,6,2,1,7,3]
[1,3,7,8,4,6,5,2]=>[1,5,3,6,8,2,7,4]
[1,5,7,8,2,4,6,3]=>[1,8,6,2,5,4,7,3]
[5,1,7,8,2,4,6,3]=>[5,8,6,2,1,4,7,3]
[3,6,7,8,4,2,5,1]=>[5,4,3,8,2,6,7,1]
[7,6,1,8,4,2,5,3]=>[6,4,7,5,1,8,3,2]
[5,6,8,7,3,2,1,4]=>[2,3,7,1,5,6,8,4]
[2,8,3,7,1,6,5,4]=>[7,2,8,5,6,1,3,4]
[5,2,8,7,3,6,1,4]=>[6,5,7,1,2,3,8,4]
[7,2,1,8,4,6,5,3]=>[2,7,5,6,8,3,1,4]
[3,2,7,8,4,6,5,1]=>[5,3,2,6,8,1,7,4]
[5,2,7,8,1,4,6,3]=>[8,5,6,1,2,4,7,3]
[1,2,7,8,5,4,6,3]=>[1,2,6,5,8,4,7,3]
[4,2,1,3,8,5,6,7]=>[2,4,1,3,8,5,6,7]
[7,2,5,8,3,4,6,1]=>[6,7,8,3,2,4,5,1]
[6,2,8,5,4,3,1,7]=>[3,4,5,8,6,1,2,7]
[2,8,3,5,4,1,6,7]=>[4,2,5,8,1,3,6,7]
[2,8,4,5,3,1,6,7]=>[3,2,5,8,4,1,6,7]
[6,4,8,5,2,3,1,7]=>[3,5,2,8,6,1,4,7]
[7,3,5,8,2,4,6,1]=>[6,8,7,2,3,4,5,1]
[4,3,1,2,8,5,6,7]=>[3,1,4,2,8,5,6,7]
[3,4,2,1,8,5,6,7]=>[2,4,3,1,8,5,6,7]
[2,7,6,8,4,3,5,1]=>[5,2,4,8,3,7,6,1]
[5,7,1,8,3,4,6,2]=>[7,6,8,3,5,4,1,2]
[3,7,5,8,1,4,6,2]=>[8,6,3,1,7,4,5,2]
[1,7,5,8,3,4,6,2]=>[1,6,8,3,7,4,5,2]
[1,6,8,5,4,3,2,7]=>[1,3,4,5,8,6,2,7]
[4,6,8,5,1,3,2,7]=>[5,3,1,4,8,6,2,7]
[5,6,8,1,4,3,2,7]=>[8,3,4,1,5,6,2,7]
[7,5,8,6,3,4,2,1]=>[2,4,6,3,8,7,1,5]
[2,4,8,3,6,5,1,7]=>[5,2,6,4,8,1,3,7]
[2,8,4,1,5,6,3,7]=>[4,2,8,6,3,5,1,7]
[4,1,8,3,5,6,2,7]=>[4,6,8,1,3,5,2,7]
[5,6,8,4,1,3,2,7]=>[4,3,1,8,5,6,2,7]
[4,6,8,1,5,3,2,7]=>[8,3,5,4,1,6,2,7]
[1,6,8,4,5,3,2,7]=>[1,3,5,8,4,6,2,7]
[1,7,3,8,5,4,6,2]=>[1,6,7,5,8,4,3,2]
[3,7,1,8,5,4,6,2]=>[7,6,3,5,8,4,1,2]
[2,7,3,8,4,6,5,1]=>[5,2,6,7,8,1,4,3]
[7,1,3,8,4,6,5,2]=>[7,5,1,6,8,2,3,4]
[5,7,8,4,3,6,1,2]=>[6,1,4,8,5,3,7,2]
[2,8,7,4,1,6,5,3]=>[4,2,7,5,6,3,8,1]
[2,8,5,4,3,1,6,7]=>[3,2,4,5,8,1,6,7]
[6,5,8,4,2,3,1,7]=>[3,4,2,8,6,5,1,7]
[4,1,3,2,8,5,6,7]=>[4,3,1,2,8,5,6,7]
[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]
[7,3,2,8,5,4,6,1]=>[6,3,7,5,8,4,2,1]
[6,4,8,2,5,3,1,7]=>[3,5,8,6,1,4,2,7]
[2,8,4,3,5,1,6,7]=>[5,2,4,8,3,1,6,7]
[2,8,3,4,5,1,6,7]=>[5,2,8,3,4,1,6,7]
[6,2,8,4,5,3,1,7]=>[3,5,6,8,4,1,2,7]
[7,2,3,8,5,4,6,1]=>[6,7,2,5,8,4,3,1]
[4,2,3,1,8,5,6,7]=>[3,4,2,1,8,5,6,7]
[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7]
[5,1,3,2,4,8,6,7]=>[5,3,1,2,4,8,6,7]
[2,8,1,5,3,4,7,6]=>[8,2,5,3,1,7,4,6]
[1,2,8,4,5,3,7,6]=>[1,2,5,8,4,7,3,6]
[1,4,2,8,5,3,6,7]=>[1,4,5,2,8,3,6,7]
[1,8,4,2,5,3,6,7]=>[1,4,8,5,3,2,6,7]
[8,1,5,3,2,4,6,7]=>[8,3,5,2,1,4,6,7]
[3,8,1,5,2,4,6,7]=>[8,5,3,2,1,4,6,7]
[3,5,1,4,8,2,6,7]=>[5,8,3,1,4,2,6,7]
[1,5,2,8,4,3,6,7]=>[1,5,4,8,2,3,6,7]
[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]
[1,2,5,4,3,8,6,7]=>[1,2,4,5,3,8,6,7]
[1,2,4,8,5,3,7,6]=>[1,2,5,4,8,7,3,6]
[1,2,7,4,8,5,3,6]=>[1,2,5,8,7,4,3,6]
[1,5,2,7,8,4,3,6]=>[1,5,4,8,2,3,7,6]
[5,1,2,7,4,8,3,6]=>[5,1,8,7,2,3,4,6]
[8,3,5,1,4,7,2,6]=>[5,7,8,1,3,2,4,6]
[2,8,1,5,4,7,3,6]=>[8,2,7,5,1,3,4,6]
[1,2,8,5,7,4,3,6]=>[1,2,4,7,8,3,5,6]
[1,2,4,8,7,5,3,6]=>[1,2,5,4,7,3,8,6]
[2,8,1,4,3,7,6,5]=>[8,2,4,1,6,7,3,5]
[6,1,2,8,7,4,3,5]=>[6,1,4,7,3,2,8,5]
[6,4,1,2,8,7,3,5]=>[4,1,6,7,2,3,8,5]
[3,6,4,8,1,7,2,5]=>[8,7,3,6,2,4,1,5]
[7,6,1,4,2,8,3,5]=>[6,4,7,3,1,8,2,5]
[7,1,6,2,8,4,3,5]=>[7,6,4,8,3,1,2,5]
[1,6,7,2,8,4,3,5]=>[1,7,4,8,3,6,2,5]
[6,7,1,4,2,8,3,5]=>[7,4,8,1,3,6,2,5]
[6,3,7,1,4,8,2,5]=>[7,8,6,1,2,3,4,5]
[3,7,8,1,5,2,4,6]=>[8,5,3,2,1,4,7,6]
[7,1,2,8,5,3,4,6]=>[7,1,5,3,8,4,2,6]
[1,7,2,8,4,5,3,6]=>[1,7,5,8,4,3,2,6]
[1,4,2,7,8,5,3,6]=>[1,4,5,2,8,3,7,6]
[6,1,2,8,4,3,7,5]=>[6,1,4,8,7,2,3,5]
[6,4,1,2,8,3,7,5]=>[4,1,6,8,7,3,2,5]
[7,6,1,3,2,4,8,5]=>[6,3,1,2,7,8,5,4]
[6,7,1,3,2,4,8,5]=>[7,3,1,2,8,6,4,5]
[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]
[1,2,7,5,8,3,4,6]=>[1,2,8,3,7,4,5,6]
[5,8,1,3,7,2,4,6]=>[8,7,1,2,5,4,3,6]
[1,2,5,8,7,3,4,6]=>[1,2,7,3,5,4,8,6]
[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]
[2,8,1,7,3,5,4,6]=>[8,2,7,5,3,4,1,6]
[8,6,1,3,2,4,7,5]=>[6,3,1,2,8,7,5,4]
[4,2,8,1,7,3,6,5]=>[8,4,7,2,6,3,1,5]
[2,8,1,7,4,3,6,5]=>[8,2,4,7,6,3,1,5]
[7,1,2,8,4,3,6,5]=>[7,1,4,8,6,3,2,5]
[1,2,8,4,7,5,3,6]=>[1,2,5,7,8,4,3,6]
[1,2,8,7,4,5,3,6]=>[1,2,5,7,4,3,8,6]
[2,8,1,7,5,3,4,6]=>[8,2,5,3,7,4,1,6]
[8,3,7,1,5,2,4,6]=>[7,5,8,2,1,4,3,6]
[3,8,6,1,4,7,2,5]=>[6,8,3,2,1,7,4,5]
[8,6,1,4,2,7,3,5]=>[6,4,8,3,1,7,2,5]
[8,1,6,2,7,4,3,5]=>[8,6,4,7,3,1,2,5]
[7,1,2,8,6,4,3,5]=>[7,1,4,6,3,8,2,5]
[7,4,1,2,8,6,3,5]=>[4,1,7,6,2,8,3,5]
[3,7,4,8,1,6,2,5]=>[8,6,3,7,2,1,4,5]
[3,4,8,7,1,6,2,5]=>[7,6,3,4,2,1,8,5]
[4,2,8,1,7,6,3,5]=>[8,4,6,2,3,7,1,5]
[2,8,1,7,6,4,3,5]=>[8,2,4,6,3,7,1,5]
[7,8,3,4,1,5,2,6]=>[4,5,8,3,1,2,7,6]
[7,8,3,4,1,6,2,5]=>[4,6,8,3,2,1,7,5]
[6,8,3,4,1,7,2,5]=>[4,7,8,3,2,6,1,5]
[6,7,3,4,1,8,2,5]=>[4,8,7,3,2,6,1,5]
[5,7,3,4,1,8,2,6]=>[4,8,7,3,5,2,1,6]
[5,8,3,4,1,7,2,6]=>[4,7,8,3,5,2,1,6]
[5,8,3,4,1,6,2,7]=>[4,6,8,3,5,1,2,7]
[6,8,3,4,1,5,2,7]=>[4,5,8,3,1,6,2,7]
[6,7,3,4,1,5,2,8]=>[4,5,7,3,1,6,2,8]
[5,7,3,4,1,6,2,8]=>[4,6,7,3,5,1,2,8]
[5,6,2,8,3,4,1,7]=>[4,6,8,3,5,2,1,7]
[5,6,2,7,3,4,1,8]=>[4,6,7,3,5,2,1,8]
[4,6,2,8,3,5,1,7]=>[5,6,8,4,3,2,1,7]
[4,7,3,5,1,6,2,8]=>[5,6,7,4,3,1,2,8]
[4,8,3,5,1,6,2,7]=>[5,6,8,4,3,1,2,7]
[4,8,3,5,1,7,2,6]=>[5,7,8,4,3,2,1,6]
[4,7,3,5,1,8,2,6]=>[5,8,7,4,3,2,1,6]
[5,6,2,3,1,7,4,8]=>[3,6,2,7,5,1,4,8]
[5,6,2,4,1,8,3,7]=>[4,6,8,2,5,1,3,7]
[5,6,2,4,1,7,3,8]=>[4,6,7,2,5,1,3,8]
[4,6,2,5,1,7,3,8]=>[5,6,7,4,2,1,3,8]
[4,6,2,5,1,8,3,7]=>[5,6,8,4,2,1,3,7]
[4,5,1,8,3,7,2,6]=>[5,7,8,4,1,2,3,6]
[4,5,1,7,3,8,2,6]=>[5,8,7,4,1,2,3,6]
[4,6,2,7,3,8,1,5]=>[8,6,7,4,1,2,3,5]
[5,6,2,7,3,8,1,4]=>[8,6,7,1,5,2,3,4]
[5,6,2,7,4,8,1,3]=>[8,6,1,7,5,2,4,3]
[5,6,3,8,4,7,1,2]=>[7,1,6,8,5,3,4,2]
[5,6,2,8,4,7,1,3]=>[7,6,1,8,5,2,4,3]
[5,6,2,8,3,7,1,4]=>[7,6,8,1,5,2,3,4]
[4,6,2,8,3,7,1,5]=>[7,6,8,4,1,2,3,5]
[4,5,1,7,3,6,2,8]=>[5,6,7,4,1,3,2,8]
[4,5,1,8,3,6,2,7]=>[5,6,8,4,1,3,2,7]
[6,5,3,2,1,4,8,7]=>[2,3,5,1,6,4,8,7]
[4,6,3,5,2,1,8,7]=>[2,5,6,4,3,1,8,7]
[8,7,3,5,2,4,1,6]=>[4,5,7,2,3,1,8,6]
[6,8,2,4,5,7,3,1]=>[3,7,8,1,4,6,5,2]
[8,7,2,4,5,3,1,6]=>[3,5,7,1,4,2,8,6]
[3,6,1,4,5,2,8,7]=>[6,5,3,1,4,2,8,7]
[8,3,7,4,5,2,1,6]=>[2,5,8,7,4,1,3,6]
[6,3,8,4,5,7,2,1]=>[2,7,6,8,4,3,5,1]
[5,8,7,4,3,6,2,1]=>[2,6,4,7,5,3,8,1]
[2,8,7,4,3,6,1,5]=>[6,2,4,7,1,3,8,5]
[8,1,7,4,3,6,2,5]=>[8,6,4,7,2,3,1,5]
[8,7,3,5,1,4,2,6]=>[5,4,7,1,3,2,8,6]
[2,1,6,8,5,7,4,3]=>[2,1,4,7,8,6,5,3]
[6,8,3,5,1,7,4,2]=>[5,4,7,8,2,6,1,3]
[5,1,8,4,7,6,3,2]=>[5,3,6,7,1,8,2,4]
[2,5,8,4,7,6,3,1]=>[3,2,6,7,5,8,1,4]
[4,3,8,1,5,6,7,2]=>[8,7,4,3,1,5,6,2]
[4,8,1,3,5,6,7,2]=>[8,7,1,4,3,5,6,2]
[5,8,7,4,1,6,3,2]=>[4,3,7,6,5,2,8,1]
[5,8,3,6,1,4,7,2]=>[6,7,8,1,5,3,4,2]
[4,8,3,6,1,2,7,5]=>[6,1,8,4,7,3,2,5]
[3,8,7,4,1,6,2,5]=>[4,7,3,6,1,2,8,5]
[3,8,1,2,5,6,7,4]=>[8,1,3,7,2,5,6,4]
[8,7,1,4,2,6,3,5]=>[7,4,6,1,3,2,8,5]
[8,6,3,1,2,4,7,5]=>[3,1,6,2,8,7,5,4]
[8,1,7,4,5,2,3,6]=>[8,5,2,7,4,3,1,6]
[2,8,7,4,5,1,3,6]=>[5,2,1,7,4,3,8,6]
[8,7,2,4,1,6,3,5]=>[4,7,6,2,3,1,8,5]
[5,8,3,6,2,4,7,1]=>[7,6,8,2,5,3,4,1]
[8,6,3,2,1,4,7,5]=>[2,3,6,1,8,7,5,4]
[8,7,3,5,2,1,4,6]=>[2,5,7,1,3,4,8,6]
[5,8,3,6,2,1,7,4]=>[2,6,8,7,5,3,1,4]
[5,8,7,4,2,6,1,3]=>[6,4,1,7,5,2,8,3]
[2,6,8,4,5,7,1,3]=>[7,2,1,8,4,6,5,3]
[6,1,8,4,5,7,2,3]=>[6,7,2,8,4,1,5,3]
[6,8,3,5,1,7,2,4]=>[5,7,8,2,3,6,1,4]
[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,3,6,4]
[5,8,3,6,1,2,7,4]=>[6,1,8,7,5,3,2,4]
[4,1,8,2,5,6,7,3]=>[4,8,7,1,2,5,6,3]
[2,4,8,1,5,6,7,3]=>[8,2,7,4,1,5,6,3]
[4,8,2,1,5,6,7,3]=>[2,8,7,4,1,5,6,3]
[3,4,8,2,5,6,7,1]=>[7,8,3,4,2,5,6,1]
[5,8,1,4,7,6,2,3]=>[8,6,2,1,5,7,4,3]
[5,8,3,1,6,2,7,4]=>[3,8,6,7,5,2,1,4]
[4,5,3,8,6,1,7,2]=>[6,8,5,4,3,7,2,1]
[3,4,1,8,5,6,7,2]=>[4,7,3,1,8,5,6,2]
[4,5,7,6,2,3,8,1]=>[8,6,2,4,5,7,3,1]
[3,5,7,2,6,4,8,1]=>[8,7,3,6,5,2,4,1]
[2,5,7,3,6,4,8,1]=>[8,2,7,6,5,3,4,1]
[1,5,7,3,6,8,4,2]=>[1,4,8,7,5,2,6,3]
[8,4,3,7,6,1,5,2]=>[6,5,4,7,3,8,1,2]
[6,7,2,3,5,4,8,1]=>[8,7,2,5,3,6,4,1]
[5,2,7,3,6,4,8,1]=>[8,5,7,6,2,3,4,1]
[8,3,4,7,6,1,5,2]=>[6,5,7,1,3,8,4,2]
[8,2,4,7,1,6,5,3]=>[7,8,5,2,6,1,4,3]
[3,1,4,7,6,8,5,2]=>[3,5,1,4,8,7,6,2]
[4,1,3,7,6,8,5,2]=>[4,5,1,3,8,7,6,2]
[5,1,7,3,6,8,4,2]=>[5,4,8,7,1,2,6,3]
[6,7,1,3,5,8,4,2]=>[7,4,1,8,3,6,5,2]
[5,8,7,3,6,1,4,2]=>[6,4,7,1,5,3,8,2]
[4,8,3,7,6,1,5,2]=>[6,5,7,4,3,8,1,2]
[3,8,4,7,6,1,5,2]=>[6,5,3,7,4,8,1,2]
[2,8,4,7,1,6,5,3]=>[7,2,5,6,8,1,3,4]
[8,1,4,7,2,6,5,3]=>[8,7,5,1,6,2,4,3]
[8,1,3,2,7,6,5,4]=>[8,3,1,5,6,7,2,4]
[2,8,3,1,7,6,5,4]=>[3,2,8,5,6,7,1,4]
[3,8,2,1,7,6,5,4]=>[2,8,3,5,6,7,1,4]
[6,7,1,2,8,5,4,3]=>[7,1,4,5,8,6,2,3]
[8,2,3,1,7,6,5,4]=>[3,8,2,5,6,7,1,4]
[8,3,2,1,7,6,5,4]=>[2,3,8,5,6,7,1,4]
[3,4,1,7,6,8,5,2]=>[4,5,3,1,8,7,6,2]
[1,4,2,7,8,6,5,3]=>[1,4,5,2,6,8,7,3]
[8,4,2,7,1,6,5,3]=>[7,4,8,5,6,1,3,2]
[8,5,7,2,1,6,4,3]=>[2,7,4,6,8,1,5,3]
[1,5,7,2,8,6,4,3]=>[1,7,4,6,5,8,2,3]
[2,5,7,1,8,6,4,3]=>[7,2,4,6,5,8,1,3]
[3,5,7,1,6,8,4,2]=>[7,4,3,8,5,1,6,2]
[6,7,4,5,8,1,3,2]=>[8,3,1,7,4,6,5,2]
[5,4,7,6,8,1,3,2]=>[8,3,1,5,4,7,6,2]
[2,5,7,8,1,6,4,3]=>[8,2,4,6,5,1,7,3]
[1,5,7,8,2,6,4,3]=>[1,8,4,6,5,2,7,3]
[8,5,7,1,2,6,4,3]=>[7,1,4,6,8,2,5,3]
[8,4,1,7,2,6,5,3]=>[4,8,7,5,6,3,2,1]
[1,4,8,7,2,6,5,3]=>[1,7,5,4,6,2,8,3]
[3,4,8,7,6,1,5,2]=>[6,5,3,4,1,7,8,2]
[4,3,8,7,6,1,5,2]=>[6,5,4,3,1,7,8,2]
[5,3,7,8,6,1,4,2]=>[6,4,5,1,3,8,7,2]
[6,7,2,8,1,5,4,3]=>[8,7,4,5,1,6,2,3]
[5,2,7,8,1,6,4,3]=>[8,5,4,6,2,1,7,3]
[4,2,8,7,1,6,5,3]=>[7,4,5,2,6,1,8,3]
[3,2,8,1,7,6,5,4]=>[8,3,2,5,6,7,1,4]
[1,3,8,2,7,6,5,4]=>[1,8,3,5,6,7,2,4]
[8,3,1,2,7,6,5,4]=>[3,1,8,5,6,7,2,4]
[8,2,1,3,7,6,5,4]=>[2,8,1,5,6,7,3,4]
[1,2,8,3,7,6,5,4]=>[1,2,8,5,6,7,3,4]
[2,1,8,3,7,6,5,4]=>[2,1,8,5,6,7,3,4]
[4,1,8,7,2,6,5,3]=>[4,7,5,1,6,2,8,3]
[5,1,7,8,2,6,4,3]=>[5,8,4,6,1,2,7,3]
[6,7,1,8,2,5,4,3]=>[7,8,4,5,2,6,1,3]
[5,8,7,1,2,6,4,3]=>[7,1,4,6,5,2,8,3]
[4,8,1,7,2,6,5,3]=>[8,7,5,4,6,2,1,3]
[3,8,1,2,7,6,5,4]=>[8,1,3,5,6,7,2,4]
[2,8,1,3,7,6,5,4]=>[8,2,1,5,6,7,3,4]
[1,8,2,3,7,6,5,4]=>[1,8,2,5,6,7,3,4]
[8,1,2,3,7,6,5,4]=>[8,1,2,5,6,7,3,4]
[6,7,1,8,4,5,2,3]=>[7,5,2,8,4,6,1,3]
[3,7,1,5,8,2,6,4]=>[7,8,3,6,1,2,5,4]
[2,7,1,5,8,3,6,4]=>[7,2,8,6,1,3,5,4]
[2,6,5,1,8,3,7,4]=>[5,2,6,8,7,3,4,1]
[3,6,5,1,8,2,7,4]=>[5,6,3,8,7,2,4,1]
[4,6,5,1,8,7,2,3]=>[5,6,1,4,7,2,8,3]
[5,6,4,1,8,7,2,3]=>[4,6,1,7,5,2,8,3]
[8,1,4,5,7,6,2,3]=>[8,6,2,1,4,7,5,3]
[6,4,5,1,8,7,2,3]=>[5,7,2,6,4,1,8,3]
[5,4,6,1,8,7,2,3]=>[6,7,2,5,4,1,8,3]
[4,5,6,1,8,7,2,3]=>[6,7,2,4,5,1,8,3]
[3,5,6,1,8,2,7,4]=>[6,8,3,7,5,1,2,4]
[2,5,6,1,8,3,7,4]=>[6,2,8,7,5,1,3,4]
[2,4,6,1,3,8,7,5]=>[6,2,1,4,7,3,8,5]
[3,4,6,1,2,8,7,5]=>[6,1,3,4,7,2,8,5]
[4,3,6,1,2,8,7,5]=>[6,1,4,3,7,2,8,5]
[5,3,6,1,8,2,7,4]=>[6,8,5,7,3,1,2,4]
[7,3,1,5,8,2,6,4]=>[3,7,8,6,2,1,5,4]
[8,1,3,5,7,2,6,4]=>[8,7,1,6,3,2,5,4]
[8,1,2,5,7,3,6,4]=>[8,1,7,6,2,3,5,4]
[7,2,1,5,8,3,6,4]=>[2,7,8,6,1,3,5,4]
[6,2,5,1,8,3,7,4]=>[5,6,8,7,2,1,3,4]
[4,2,6,1,3,8,7,5]=>[6,4,1,2,7,3,8,5]
[2,3,6,1,4,8,7,5]=>[6,2,3,1,7,4,8,5]
[4,2,5,3,1,8,7,6]=>[3,5,4,1,2,7,8,6]
[6,2,4,1,3,8,7,5]=>[4,6,1,2,7,3,8,5]
[7,2,1,4,3,8,6,5]=>[2,7,4,1,6,8,3,5]
[8,1,2,4,3,7,6,5]=>[8,1,4,2,6,7,3,5]
[8,1,3,4,2,7,6,5]=>[8,4,1,3,6,7,2,5]
[7,3,1,4,2,8,6,5]=>[3,7,4,2,6,8,1,5]
[6,3,4,1,2,8,7,5]=>[4,1,6,3,7,2,8,5]
[4,6,3,1,2,8,7,5]=>[3,1,6,4,7,2,8,5]
[3,6,4,1,2,8,7,5]=>[4,1,3,6,7,2,8,5]
[2,6,4,1,3,8,7,5]=>[4,2,1,6,7,3,8,5]
[2,7,1,4,3,8,6,5]=>[7,2,4,1,6,8,3,5]
[3,7,1,4,2,8,6,5]=>[7,4,3,1,6,8,2,5]
[4,7,1,3,2,8,6,5]=>[7,3,1,4,6,8,2,5]
[8,1,6,7,2,3,5,4]=>[8,7,2,5,3,1,6,4]
[4,7,1,2,3,8,6,5]=>[7,1,2,4,6,8,3,5]
[3,7,1,2,4,8,6,5]=>[7,1,3,2,6,8,4,5]
[2,7,1,3,4,8,6,5]=>[7,2,1,3,6,8,4,5]
[2,6,3,1,4,8,7,5]=>[3,2,6,1,7,4,8,5]
[3,6,2,1,4,8,7,5]=>[2,6,3,1,7,4,8,5]
[5,6,2,1,8,3,7,4]=>[2,6,8,7,5,1,3,4]
[6,5,2,1,8,3,7,4]=>[2,5,6,8,7,3,4,1]
[8,1,5,2,7,3,6,4]=>[8,5,7,6,1,3,2,4]
[8,1,4,2,3,7,6,5]=>[8,4,2,1,6,7,3,5]
[7,4,1,2,3,8,6,5]=>[4,1,2,7,6,8,3,5]
[6,4,2,1,3,8,7,5]=>[2,4,1,6,7,3,8,5]
[5,4,2,3,1,8,7,6]=>[3,4,2,5,1,7,8,6]
[3,5,2,4,1,8,7,6]=>[4,5,3,2,1,7,8,6]
[6,3,2,1,4,8,7,5]=>[2,3,6,1,7,4,8,5]
[7,3,1,2,4,8,6,5]=>[3,1,7,2,6,8,4,5]
[8,1,3,2,4,7,6,5]=>[8,3,1,2,6,7,4,5]
[8,1,2,3,4,7,6,5]=>[8,1,2,3,6,7,4,5]
[7,2,1,3,4,8,6,5]=>[2,7,1,3,6,8,4,5]
[6,2,3,1,4,8,7,5]=>[3,6,2,1,7,4,8,5]
[2,4,3,6,1,5,8,7]=>[6,2,4,3,1,5,8,7]
[2,4,3,6,5,8,1,7]=>[8,2,4,3,6,5,1,7]
[2,4,6,3,5,8,7,1]=>[7,2,6,4,3,5,8,1]
[2,4,6,3,5,8,1,7]=>[8,2,6,4,3,5,1,7]
[2,4,6,3,5,1,8,7]=>[5,2,6,4,3,1,8,7]
[2,4,6,3,1,5,8,7]=>[3,2,6,4,1,5,8,7]
[2,4,1,6,5,3,8,7]=>[4,2,5,1,6,3,8,7]
[2,4,6,1,5,3,8,7]=>[6,2,5,4,1,3,8,7]
[4,2,6,5,3,1,8,7]=>[3,5,4,1,6,2,8,7]
[4,2,6,5,1,3,8,7]=>[5,4,1,2,6,3,8,7]
[4,2,6,5,1,8,7,3]=>[5,4,6,2,7,3,8,1]
[4,2,6,5,8,1,7,3]=>[8,4,7,2,6,5,1,3]
[4,2,6,5,8,1,3,7]=>[8,4,1,2,6,5,3,7]
[4,2,6,5,8,3,1,7]=>[3,8,4,1,6,5,2,7]
[2,4,6,1,5,8,3,7]=>[6,2,8,4,1,5,3,7]
[2,4,1,6,5,8,3,7]=>[4,2,8,1,6,5,3,7]
[2,1,4,6,5,8,3,7]=>[2,1,8,4,6,5,3,7]
[2,4,1,6,5,8,7,3]=>[4,2,7,1,6,5,8,3]
[2,4,6,1,5,8,7,3]=>[6,2,7,4,1,5,8,3]
[4,2,6,5,3,8,7,1]=>[7,4,5,2,6,3,8,1]
[4,2,6,5,8,3,7,1]=>[7,4,8,2,6,5,3,1]
[2,6,4,3,8,7,1,5]=>[7,2,4,6,1,3,8,5]
[2,6,4,3,8,7,5,1]=>[5,2,4,7,6,1,8,3]
[4,2,6,8,5,3,7,1]=>[7,4,5,2,8,6,3,1]
[2,4,6,8,1,5,7,3]=>[8,2,7,4,1,6,5,3]
[2,4,6,1,8,5,7,3]=>[6,2,7,4,8,1,5,3]
[2,4,1,6,8,5,7,3]=>[4,2,7,1,8,6,5,3]
[2,1,4,6,8,5,7,3]=>[2,1,7,4,8,6,5,3]
[2,1,4,6,8,5,3,7]=>[2,1,5,4,8,6,3,7]
[2,4,1,6,8,5,3,7]=>[4,2,5,1,8,6,3,7]
[2,4,6,1,8,5,3,7]=>[6,2,5,4,8,1,3,7]
[2,4,6,8,1,5,3,7]=>[8,2,5,4,1,6,3,7]
[4,2,6,8,5,3,1,7]=>[3,5,4,1,8,6,2,7]
[4,2,6,8,5,1,3,7]=>[5,4,1,2,8,6,3,7]
[4,2,6,8,5,1,7,3]=>[5,4,8,2,7,6,3,1]
[2,4,6,8,3,5,7,1]=>[7,2,8,4,3,6,5,1]
[2,4,6,8,3,5,1,7]=>[5,2,8,4,3,6,1,7]
[2,4,6,8,3,1,5,7]=>[3,2,8,4,1,6,5,7]
[2,4,6,3,1,8,5,7]=>[3,2,6,4,8,1,5,7]
[2,4,6,3,8,1,5,7]=>[8,2,6,4,1,3,5,7]
[2,4,6,3,8,5,1,7]=>[5,2,8,4,6,1,3,7]
[2,4,6,3,8,5,7,1]=>[7,2,6,4,8,3,5,1]
[2,4,3,6,8,5,7,1]=>[7,2,4,3,8,6,5,1]
[2,4,3,6,8,5,1,7]=>[5,2,4,3,8,6,1,7]
[2,4,3,6,8,1,5,7]=>[8,2,4,3,1,6,5,7]
[2,4,3,6,1,8,5,7]=>[6,2,4,3,8,1,5,7]
[2,4,3,1,6,8,5,7]=>[3,2,4,1,8,6,5,7]
[2,4,1,3,6,8,7,5]=>[4,2,1,3,7,6,8,5]
[2,4,3,6,1,8,7,5]=>[6,2,4,3,7,1,8,5]
[2,4,3,6,8,1,7,5]=>[8,2,4,3,7,6,1,5]
[4,6,5,2,8,7,3,1]=>[3,7,5,4,6,1,8,2]
[4,6,5,2,8,7,1,3]=>[7,5,1,4,6,2,8,3]
[4,6,2,5,8,7,1,3]=>[7,6,1,4,2,5,8,3]
[4,6,2,5,8,7,3,1]=>[3,7,6,4,1,5,8,2]
[2,4,6,3,8,1,7,5]=>[8,2,6,4,7,3,1,5]
[2,4,6,3,1,8,7,5]=>[3,2,6,4,7,1,8,5]
[2,4,1,6,3,8,7,5]=>[4,2,6,1,7,3,8,5]
[2,1,4,6,3,8,7,5]=>[2,1,6,4,7,3,8,5]
[2,1,4,6,8,3,7,5]=>[2,1,8,4,7,6,3,5]
[2,4,1,6,8,3,7,5]=>[4,2,8,1,7,6,3,5]
[2,4,6,1,8,3,7,5]=>[6,2,8,4,7,1,3,5]
[2,4,6,8,1,3,7,5]=>[8,2,1,4,7,6,3,5]
[2,4,6,8,3,1,7,5]=>[3,2,8,4,7,6,1,5]
[4,6,2,8,5,7,3,1]=>[3,7,6,4,8,1,5,2]
[4,6,2,8,5,7,1,3]=>[7,6,1,4,8,2,5,3]
[6,2,4,8,7,1,3,5]=>[7,6,1,2,3,4,8,5]
[6,4,2,8,7,5,3,1]=>[3,5,4,7,6,2,8,1]
[2,6,4,8,1,7,5,3]=>[8,2,5,7,6,3,1,4]
[2,6,4,1,8,7,5,3]=>[4,2,6,5,7,3,8,1]
[2,6,1,4,8,7,5,3]=>[6,2,5,1,7,4,8,3]
[2,1,6,4,8,7,5,3]=>[2,1,5,7,6,3,8,4]
[2,1,6,4,8,7,3,5]=>[2,1,7,6,3,4,8,5]
[2,6,1,4,8,7,3,5]=>[6,2,7,1,3,4,8,5]
[2,6,4,1,8,7,3,5]=>[4,2,6,7,1,3,8,5]
[2,6,4,8,1,7,3,5]=>[8,2,7,6,3,4,1,5]
[6,4,2,8,7,5,1,3]=>[5,4,2,7,6,1,8,3]
[6,2,4,8,7,3,5,1]=>[5,6,7,2,3,4,8,1]
[6,2,4,8,7,3,1,5]=>[3,7,6,1,2,4,8,5]
[1,6,4,7,3,8,2,5]=>[1,8,7,6,2,4,3,5]
[1,3,7,4,5,8,2,6]=>[1,8,3,7,4,2,5,6]
[5,2,4,7,3,6,8,1]=>[8,5,7,2,4,3,6,1]
[1,7,6,3,4,8,2,5]=>[1,8,6,3,2,7,4,5]
[8,1,6,3,7,2,4,5]=>[8,7,6,2,4,1,3,5]
[7,1,6,3,8,2,4,5]=>[7,8,6,2,4,1,3,5]
[1,2,7,4,8,3,5,6]=>[1,2,8,7,3,5,4,6]
[6,1,7,3,4,8,2,5]=>[6,8,7,3,2,1,4,5]
[2,1,7,4,5,8,3,6]=>[2,1,8,7,4,3,5,6]
[5,1,4,7,3,8,2,6]=>[5,8,7,1,4,2,3,6]
[4,3,1,7,5,8,2,6]=>[3,4,8,2,7,1,5,6]
[2,8,6,3,7,1,4,5]=>[7,2,6,1,4,8,3,5]
[6,8,1,3,7,2,4,5]=>[8,7,1,2,4,6,3,5]
[5,8,2,1,7,3,4,6]=>[2,8,7,3,5,4,1,6]
[5,7,2,1,8,3,4,6]=>[2,7,8,3,5,4,1,6]
[6,7,1,3,8,2,4,5]=>[7,8,1,2,4,6,3,5]
[5,1,2,4,8,3,6,7]=>[5,1,8,2,4,3,6,7]
[4,3,6,1,5,8,2,7]=>[6,8,4,3,1,5,2,7]
[2,6,1,4,5,8,3,7]=>[6,2,8,1,4,5,3,7]
[6,5,1,3,4,8,2,7]=>[5,6,2,3,8,4,1,7]
[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]
[8,5,1,3,7,2,4,6]=>[5,8,2,1,7,4,3,6]
[1,5,3,2,8,4,6,7]=>[1,3,5,8,2,4,6,7]
[6,4,2,1,5,8,3,7]=>[2,4,6,8,3,5,1,7]
[2,5,3,4,1,8,6,7]=>[4,2,5,3,1,8,6,7]
[4,3,5,2,1,8,6,7]=>[2,5,4,3,1,8,6,7]
[2,6,4,8,7,1,3,5]=>[7,2,1,6,3,4,8,5]
[1,6,4,8,7,2,3,5]=>[1,7,2,6,3,4,8,5]
[2,7,8,3,6,1,4,5]=>[6,2,8,1,4,3,7,5]
[4,3,2,8,7,1,5,6]=>[7,3,4,2,1,5,8,6]
[5,2,4,8,7,1,3,6]=>[7,5,1,2,4,3,8,6]
[6,2,8,3,7,1,4,5]=>[7,6,8,1,4,2,3,5]
[5,1,4,8,7,2,3,6]=>[5,7,2,1,4,3,8,6]
[4,8,2,5,1,3,7,6]=>[5,8,1,4,2,7,3,6]
[4,7,2,5,1,3,8,6]=>[5,7,1,4,2,8,3,6]
[3,7,2,1,5,4,8,6]=>[2,7,3,5,1,8,4,6]
[3,8,2,1,5,4,7,6]=>[2,8,3,5,1,7,4,6]
[8,3,2,1,5,4,6,7]=>[2,3,8,5,1,4,6,7]
[8,3,2,1,6,4,5,7]=>[2,3,8,6,4,1,5,7]
[8,4,2,5,1,6,3,7]=>[5,4,8,6,3,1,2,7]
[8,3,2,1,5,6,4,7]=>[2,3,8,6,1,5,4,7]
[8,3,2,1,4,6,5,7]=>[2,3,8,1,6,4,5,7]
[3,8,2,1,4,5,7,6]=>[2,8,3,1,4,7,5,6]
[3,7,2,1,4,5,8,6]=>[2,7,3,1,4,8,5,6]
[3,2,7,1,4,6,8,5]=>[7,3,2,1,8,4,6,5]
[3,2,8,1,4,6,7,5]=>[8,3,2,1,7,4,6,5]
[3,2,8,1,4,7,6,5]=>[8,3,2,1,6,7,4,5]
[3,8,2,1,4,7,5,6]=>[2,8,3,1,7,5,4,6]
[3,8,2,1,5,7,4,6]=>[2,8,3,7,1,4,5,6]
[4,8,2,5,1,7,3,6]=>[5,8,7,4,2,3,1,6]
[4,7,2,5,1,8,3,6]=>[5,7,8,4,2,3,1,6]
[3,7,2,1,5,8,4,6]=>[2,7,3,8,1,4,5,6]
[3,7,2,1,4,8,5,6]=>[2,7,3,1,8,5,4,6]
[3,2,1,7,5,8,6,4]=>[2,3,1,6,8,7,4,5]
[3,2,7,1,6,8,4,5]=>[7,3,2,8,4,1,6,5]
[4,2,7,6,1,8,3,5]=>[6,4,7,2,1,8,3,5]
[4,3,7,6,8,1,2,5]=>[8,1,4,3,2,7,6,5]
[4,3,8,6,7,1,2,5]=>[7,1,4,3,2,8,6,5]
[4,2,8,6,1,7,3,5]=>[6,4,8,2,1,7,3,5]
[3,2,8,1,6,7,4,5]=>[8,3,2,7,4,1,6,5]
[3,2,1,8,7,5,6,4]=>[2,3,1,6,7,5,8,4]
[3,8,2,1,7,4,5,6]=>[2,8,3,7,4,5,1,6]
[3,2,8,1,7,4,6,5]=>[8,3,2,7,6,4,1,5]
[3,2,8,1,6,4,7,5]=>[8,3,2,6,7,1,4,5]
[3,2,7,1,6,4,8,5]=>[7,3,2,6,8,1,4,5]
[4,2,7,6,1,3,8,5]=>[6,4,1,2,7,8,5,3]
[4,2,8,6,1,3,7,5]=>[6,4,1,2,8,7,5,3]
[4,2,8,7,1,3,6,5]=>[7,4,1,2,6,3,8,5]
[5,7,8,3,4,1,2,6]=>[4,1,8,3,5,2,7,6]
[4,2,7,8,1,3,6,5]=>[8,4,1,2,6,3,7,5]
[4,2,6,8,1,3,7,5]=>[8,4,1,2,7,6,3,5]
[4,2,6,7,1,3,8,5]=>[7,4,1,2,8,6,3,5]
[3,2,6,1,8,4,7,5]=>[6,3,2,8,7,1,4,5]
[3,7,2,1,8,4,5,6]=>[2,7,3,8,4,5,1,6]
[3,7,2,1,8,5,4,6]=>[2,7,3,5,8,4,1,6]
[4,7,3,8,5,1,2,6]=>[5,1,8,4,7,3,2,6]
[4,3,7,8,6,1,2,5]=>[6,1,4,3,2,8,7,5]
[3,2,7,1,8,6,4,5]=>[7,3,2,6,4,8,1,5]
[3,2,1,6,8,5,7,4]=>[2,3,1,7,8,6,5,4]
[3,2,6,1,8,7,4,5]=>[6,3,2,7,4,1,8,5]
[4,2,6,8,1,7,3,5]=>[8,4,7,2,3,6,1,5]
[4,3,6,8,7,1,2,5]=>[7,1,4,3,2,6,8,5]
[4,2,6,7,1,8,3,5]=>[7,4,8,2,3,6,1,5]
[3,2,6,1,7,8,4,5]=>[6,3,2,8,4,1,7,5]
[3,4,6,8,7,5,1,2]=>[5,1,3,4,7,6,8,2]
[5,3,6,4,8,7,1,2]=>[7,1,5,6,3,4,8,2]
[1,4,6,2,7,8,5,3]=>[1,6,5,4,8,2,7,3]
[3,1,8,5,4,2,6,7]=>[3,4,1,5,8,2,6,7]
[1,2,7,5,4,8,6,3]=>[1,2,6,5,8,7,3,4]
[6,3,7,5,4,8,1,2]=>[8,1,6,5,7,3,4,2]
[7,3,8,5,4,6,1,2]=>[6,1,7,5,8,4,3,2]
[3,8,7,5,4,6,1,2]=>[6,1,3,5,7,4,8,2]
[4,3,6,7,8,5,1,2]=>[5,1,4,3,8,6,7,2]
[4,5,6,3,8,7,1,2]=>[7,1,6,4,5,3,8,2]
[3,6,8,5,4,7,1,2]=>[7,1,3,5,8,6,4,2]
[6,8,3,5,4,7,1,2]=>[7,1,8,5,3,6,4,2]
[7,6,3,5,4,8,1,2]=>[8,1,6,5,3,7,4,2]
[1,6,2,5,4,8,7,3]=>[1,6,7,5,2,4,8,3]
[7,1,2,5,8,3,6,4]=>[7,1,8,6,2,3,5,4]
[1,8,2,5,7,3,6,4]=>[1,8,7,6,2,3,5,4]
[6,2,1,5,4,8,7,3]=>[2,6,7,5,1,4,8,3]
[4,1,6,2,8,7,5,3]=>[4,6,5,1,7,2,8,3]
[7,8,1,2,4,6,5,3]=>[8,1,5,2,6,4,7,3]
[7,8,3,1,4,2,6,5]=>[3,8,4,2,6,1,7,5]
[4,3,6,1,8,2,7,5]=>[6,8,4,3,7,1,2,5]
[2,3,8,5,4,1,6,7]=>[4,2,3,5,8,1,6,7]
[4,8,1,5,2,3,7,6]=>[8,5,2,4,1,7,3,6]
[7,5,1,6,4,3,2,8]=>[5,3,4,7,6,2,1,8]
[5,8,1,6,4,3,2,7]=>[8,3,4,6,5,1,2,7]
[6,1,5,7,4,3,2,8]=>[6,3,4,7,1,5,2,8]
[1,5,8,6,4,3,2,7]=>[1,3,4,6,5,8,2,7]
[3,4,6,1,5,8,2,7]=>[6,8,3,4,1,5,2,7]
[7,8,4,1,5,3,2,6]=>[4,3,8,5,2,1,7,6]
[7,8,5,1,6,3,2,4]=>[5,3,8,1,6,2,7,4]
[2,6,1,5,7,3,8,4]=>[6,2,7,8,1,5,3,4]
[1,6,8,7,4,3,2,5]=>[1,3,4,7,2,6,8,5]
[6,8,1,7,4,3,2,5]=>[8,3,4,7,2,6,1,5]
[5,6,1,7,4,3,2,8]=>[6,3,4,7,5,1,2,8]
[5,1,7,6,4,3,2,8]=>[5,3,4,6,1,7,2,8]
[6,1,7,8,4,3,2,5]=>[6,3,4,8,2,1,7,5]
[7,1,8,6,4,3,2,5]=>[7,3,4,6,2,8,1,5]
[1,8,7,6,4,3,2,5]=>[1,3,4,6,2,7,8,5]
[2,1,7,5,6,3,8,4]=>[2,1,6,8,7,5,3,4]
[3,1,6,7,5,8,2,4]=>[3,8,1,2,7,6,5,4]
[7,8,1,6,5,3,2,4]=>[8,3,5,2,6,1,7,4]
[7,8,2,1,4,5,6,3]=>[2,8,6,1,4,5,7,3]
[2,8,1,5,4,6,7,3]=>[8,2,7,5,1,4,6,3]
[7,2,1,5,4,6,8,3]=>[2,7,8,5,1,4,6,3]
[1,2,8,5,6,3,7,4]=>[1,2,6,7,8,5,3,4]
[6,1,2,5,7,3,8,4]=>[6,1,7,8,2,5,3,4]
[4,2,1,5,6,3,7,8]=>[2,4,6,1,5,3,7,8]
[4,3,6,1,5,7,2,8]=>[6,7,4,3,1,5,2,8]
[5,1,6,3,7,8,2,4]=>[5,8,6,2,1,3,7,4]
[1,3,6,8,5,7,2,4]=>[1,7,3,2,8,6,5,4]
[2,4,6,3,7,1,8,5]=>[7,2,6,4,8,3,1,5]
[1,3,6,4,8,7,2,5]=>[1,7,3,6,2,4,8,5]
[4,1,6,7,3,8,2,5]=>[4,8,7,1,2,6,3,5]
[5,4,6,1,3,7,2,8]=>[6,7,1,5,4,3,2,8]
[6,4,1,5,2,3,7,8]=>[4,6,1,5,2,3,7,8]
[4,1,7,5,2,3,8,6]=>[4,5,2,1,7,8,3,6]
[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]
[7,2,3,5,4,1,8,6]=>[4,5,1,7,3,8,2,6]
[2,8,3,5,4,1,7,6]=>[4,2,5,8,1,7,3,6]
[4,2,6,3,8,1,7,5]=>[8,4,6,2,7,3,1,5]
[7,8,2,3,4,1,6,5]=>[4,8,2,3,6,1,7,5]
[7,8,1,4,6,3,2,5]=>[8,3,6,1,2,4,7,5]
[3,1,6,4,7,8,2,5]=>[3,8,1,6,2,4,7,5]
[1,8,5,7,4,3,2,6]=>[1,3,4,7,8,2,5,6]
[7,1,5,8,4,3,2,6]=>[7,3,4,8,1,2,5,6]
[5,1,8,7,4,3,2,6]=>[5,3,4,7,1,2,8,6]
[6,5,1,8,4,3,2,7]=>[5,3,4,6,8,2,1,7]
[6,5,7,1,4,3,2,8]=>[7,3,4,1,6,5,2,8]
[7,5,8,1,4,3,2,6]=>[8,3,4,1,7,2,5,6]
[5,8,7,1,4,3,2,6]=>[7,3,4,1,5,2,8,6]
[1,5,7,8,4,3,2,6]=>[1,3,4,8,5,2,7,6]
[2,4,7,5,1,3,8,6]=>[5,2,1,4,7,8,3,6]
[7,8,4,6,1,3,2,5]=>[6,3,1,8,2,4,7,5]
[7,8,5,4,1,3,2,6]=>[4,3,1,5,8,2,7,6]
[3,5,6,4,1,8,2,7]=>[4,6,3,8,5,2,1,7]
[2,6,4,5,1,3,8,7]=>[5,2,1,6,4,3,8,7]
[1,6,5,8,4,3,2,7]=>[1,3,4,8,6,5,2,7]
[6,8,5,1,4,3,2,7]=>[5,3,4,1,8,6,2,7]
[7,6,5,1,4,3,2,8]=>[5,3,4,1,6,7,2,8]
[3,4,6,2,7,1,5,8]=>[7,6,3,4,1,2,5,8]
[3,6,2,5,4,1,7,8]=>[4,5,3,6,1,2,7,8]
[3,2,7,5,4,1,6,8]=>[4,3,2,5,7,1,6,8]
[4,3,6,2,8,1,5,7]=>[8,6,4,3,1,2,5,7]
[6,1,2,5,4,7,8,3]=>[6,1,8,5,2,4,7,3]
[6,2,4,5,1,3,7,8]=>[5,6,1,2,4,3,7,8]
[4,2,8,5,1,3,7,6]=>[5,4,1,2,8,7,3,6]
[4,3,6,8,1,7,2,5]=>[8,7,4,3,2,6,1,5]
[5,3,6,4,1,7,2,8]=>[4,6,7,5,1,2,3,8]
[6,2,1,5,8,3,7,4]=>[2,6,8,7,1,5,3,4]
[1,6,7,4,8,3,5,2]=>[1,5,8,7,3,6,4,2]
[1,4,6,3,7,5,8,2]=>[1,8,6,4,7,3,5,2]
[4,6,7,2,5,8,1,3]=>[8,7,1,4,2,6,5,3]
[2,4,6,1,7,5,3,8]=>[6,2,5,4,7,1,3,8]
[2,7,5,4,1,6,3,8]=>[4,2,5,7,6,1,3,8]
[7,5,4,6,2,8,1,3]=>[8,6,1,5,7,4,2,3]
[1,7,5,4,3,8,6,2]=>[1,6,4,5,8,7,2,3]
[1,4,6,3,5,8,7,2]=>[1,7,6,4,3,5,8,2]
[1,5,8,4,3,6,7,2]=>[1,7,4,8,5,3,6,2]
[5,4,6,2,7,8,1,3]=>[8,6,1,5,4,2,7,3]
[2,5,4,1,6,7,3,8]=>[4,2,5,7,3,6,1,8]
[5,6,3,2,7,1,4,8]=>[7,3,6,1,5,2,4,8]
[5,6,3,2,7,1,8,4]=>[7,3,6,8,5,2,1,4]
[8,5,6,3,2,7,1,4]=>[7,3,6,1,8,5,2,4]
[5,4,6,2,8,1,7,3]=>[8,6,7,5,4,2,1,3]
[2,4,1,7,8,5,3,6]=>[4,2,5,1,8,3,7,6]
[2,5,4,1,6,3,8,7]=>[4,2,5,6,3,1,8,7]
[5,6,3,2,1,8,4,7]=>[2,3,6,8,5,1,4,7]
[3,5,2,1,6,4,7,8]=>[2,5,3,6,1,4,7,8]
[6,8,4,3,2,1,5,7]=>[2,3,4,8,1,6,5,7]
[5,3,8,2,1,6,4,7]=>[2,8,5,6,3,1,4,7]
[3,7,5,8,2,1,4,6]=>[2,8,3,1,7,4,5,6]
[7,3,2,8,5,1,6,4]=>[5,3,8,7,6,2,4,1]
[8,4,6,3,2,1,7,5]=>[2,3,6,8,7,4,1,5]
[8,6,4,3,2,1,7,5]=>[2,3,4,6,8,7,5,1]
[7,6,4,3,2,1,8,5]=>[2,3,4,6,7,8,5,1]
[7,8,4,3,2,1,6,5]=>[2,3,4,8,6,1,7,5]
[5,4,7,2,1,8,6,3]=>[2,7,6,5,4,8,1,3]
[7,5,8,3,2,6,1,4]=>[6,3,8,1,7,2,5,4]
[5,7,3,2,1,6,8,4]=>[2,3,7,8,5,1,6,4]
[5,7,3,2,1,6,4,8]=>[2,3,7,6,5,1,4,8]
[6,3,7,2,5,1,8,4]=>[5,7,6,8,2,3,1,4]
[6,7,8,3,5,2,1,4]=>[2,5,8,1,3,6,7,4]
[6,2,5,7,8,4,1,3]=>[4,8,2,6,1,5,7,3]
[2,1,5,7,8,6,3,4]=>[2,1,6,3,5,8,7,4]
[3,6,7,2,8,1,4,5]=>[8,7,3,1,4,6,2,5]
[6,3,7,2,8,1,4,5]=>[8,7,6,1,4,3,2,5]
[3,2,6,1,7,4,5,8]=>[6,3,2,7,4,1,5,8]
[3,5,2,1,4,7,6,8]=>[2,5,3,1,4,7,6,8]
[7,3,5,2,1,8,4,6]=>[2,5,7,8,3,4,1,6]
[2,5,4,1,3,7,8,6]=>[4,2,1,5,3,8,7,6]
[2,5,8,4,1,3,7,6]=>[4,2,1,8,5,7,3,6]
[2,4,1,7,8,3,6,5]=>[4,2,8,1,6,3,7,5]
[3,7,2,8,6,1,4,5]=>[6,8,3,2,4,7,1,5]
[3,6,8,2,1,7,4,5]=>[2,8,3,7,4,6,1,5]
[5,3,8,2,1,4,7,6]=>[2,8,5,1,3,7,4,6]
[4,8,7,3,2,1,5,6]=>[2,3,7,4,1,5,8,6]
[4,7,3,2,1,5,6,8]=>[2,3,7,4,1,5,6,8]
[8,4,7,3,2,1,5,6]=>[2,3,7,8,1,5,4,6]
[8,3,5,2,1,4,7,6]=>[2,5,8,1,3,7,4,6]
[7,3,2,8,6,1,4,5]=>[6,3,8,2,4,7,1,5]
[3,5,2,1,4,6,8,7]=>[2,5,3,1,4,6,8,7]
[7,8,3,5,4,6,1,2]=>[6,1,8,5,3,4,7,2]
[8,6,3,7,5,2,4,1]=>[4,5,7,3,6,8,2,1]
[5,4,1,6,3,2,8,7]=>[4,3,5,6,2,1,8,7]
[5,4,1,6,2,3,8,7]=>[4,5,1,6,2,3,8,7]
[5,7,1,6,2,8,3,4]=>[7,6,8,3,5,1,2,4]
[5,7,1,6,2,8,4,3]=>[7,6,4,8,5,1,2,3]
[2,7,6,5,1,8,3,4]=>[5,2,6,3,7,8,1,4]
[2,7,6,5,1,8,4,3]=>[5,2,4,6,7,8,1,3]
[2,3,6,5,1,4,8,7]=>[5,2,3,1,6,4,8,7]
[2,3,6,4,1,5,8,7]=>[4,2,3,6,1,5,8,7]
[2,3,6,1,5,4,8,7]=>[6,2,3,5,1,4,8,7]
[2,7,6,1,4,8,5,3]=>[6,2,5,3,7,8,4,1]
[2,7,6,1,4,8,3,5]=>[6,2,7,3,1,8,4,5]
[7,3,5,1,8,4,2,6]=>[5,4,8,7,2,3,1,6]
[7,3,5,1,8,6,4,2]=>[5,4,6,8,3,7,1,2]
[2,7,6,1,5,8,4,3]=>[6,2,4,7,3,8,5,1]
[2,7,6,4,1,8,5,3]=>[4,2,6,5,7,8,1,3]
[2,1,7,6,3,8,5,4]=>[2,1,6,5,7,8,4,3]
[2,1,7,6,3,8,4,5]=>[2,1,6,7,3,8,4,5]
[5,7,3,6,2,8,4,1]=>[4,8,6,7,5,1,3,2]
[2,7,6,4,1,8,3,5]=>[4,2,6,7,3,8,1,5]
[7,3,5,1,8,6,2,4]=>[5,6,8,3,2,7,1,4]
[6,3,5,1,8,2,4,7]=>[5,8,6,2,3,1,4,7]
[2,3,4,8,7,6,1,5]=>[6,2,3,4,1,7,8,5]
[2,3,4,8,5,7,1,6]=>[7,2,3,4,8,1,5,6]
[7,3,5,4,8,1,2,6]=>[8,1,7,5,3,2,4,6]
[6,4,3,5,8,7,2,1]=>[2,7,4,6,3,5,8,1]
[2,1,4,5,8,7,3,6]=>[2,1,7,4,5,3,8,6]
[6,4,3,5,8,7,1,2]=>[7,1,4,6,3,5,8,2]
[7,3,5,4,8,1,6,2]=>[8,6,7,5,3,1,4,2]
[2,3,4,8,7,5,6,1]=>[6,2,3,4,7,5,8,1]
[2,3,4,8,7,5,1,6]=>[5,2,3,4,7,1,8,6]
[2,7,6,5,4,8,1,3]=>[8,2,1,5,6,7,4,3]
[7,3,5,6,8,4,1,2]=>[4,1,8,7,2,5,6,3]
[7,3,5,6,8,1,4,2]=>[8,4,7,1,3,5,6,2]
[7,3,5,6,8,1,2,4]=>[8,1,7,2,3,5,6,4]
[6,4,1,5,8,7,2,3]=>[4,6,1,7,2,5,8,3]
[6,4,1,5,8,7,3,2]=>[4,3,6,7,2,5,8,1]
[6,4,1,5,8,3,7,2]=>[4,6,7,8,2,5,1,3]
[5,7,1,6,3,8,2,4]=>[7,8,6,2,5,1,3,4]
[6,4,1,5,8,3,2,7]=>[4,3,6,8,2,5,1,7]
[7,4,1,5,8,2,3,6]=>[4,7,1,8,2,3,5,6]
[7,4,1,5,8,2,6,3]=>[4,7,8,6,2,3,5,1]
[6,3,5,7,8,2,1,4]=>[2,8,6,1,3,5,7,4]
[6,3,5,7,8,2,4,1]=>[4,8,6,2,3,5,7,1]
[2,7,6,4,5,8,3,1]=>[3,2,8,6,4,7,5,1]
[5,7,3,6,1,8,4,2]=>[6,4,8,7,5,2,1,3]
[2,1,4,5,8,6,3,7]=>[2,1,6,4,5,8,3,7]
[7,3,5,4,8,6,2,1]=>[2,6,8,5,1,7,4,3]
[2,3,4,8,5,6,1,7]=>[6,2,3,4,8,5,1,7]
[2,3,4,8,7,1,6,5]=>[7,2,3,4,6,1,8,5]
[2,3,4,8,1,7,6,5]=>[8,2,3,4,6,7,1,5]
[2,3,4,8,1,6,7,5]=>[8,2,3,4,7,1,6,5]
[2,3,4,8,5,1,7,6]=>[5,2,3,4,8,7,1,6]
[6,3,5,4,8,2,7,1]=>[7,8,6,5,3,4,2,1]
[7,4,3,5,8,2,1,6]=>[2,8,4,7,3,1,5,6]
[2,1,4,5,8,3,7,6]=>[2,1,8,4,5,7,3,6]
[7,4,3,5,8,2,6,1]=>[6,8,4,7,3,2,5,1]
[6,3,5,4,8,2,1,7]=>[2,8,6,5,3,4,1,7]
[2,3,4,8,5,1,6,7]=>[5,2,3,4,8,1,6,7]
[2,3,4,8,1,6,5,7]=>[8,2,3,4,6,1,5,7]
[2,3,4,8,1,5,7,6]=>[8,2,3,4,1,7,5,6]
[7,8,2,6,1,5,3,4]=>[6,8,5,3,1,2,7,4]
[7,8,1,6,2,5,3,4]=>[8,6,5,3,2,1,7,4]
[1,8,6,7,2,5,3,4]=>[1,7,5,3,2,8,6,4]
[1,8,5,7,2,6,3,4]=>[1,7,6,3,8,2,5,4]
[5,8,1,7,2,6,3,4]=>[8,7,6,3,5,2,1,4]
[5,8,2,7,1,6,3,4]=>[7,8,6,3,5,1,2,4]
[2,8,6,7,1,5,3,4]=>[7,2,5,3,1,8,6,4]
[2,8,5,7,1,6,3,4]=>[7,2,6,3,8,1,5,4]
[2,8,1,7,5,6,3,4]=>[8,2,6,3,7,5,1,4]
[1,8,2,7,5,6,3,4]=>[1,8,6,3,7,5,2,4]
[1,8,2,7,4,6,3,5]=>[1,8,6,7,3,4,2,5]
[2,8,1,7,4,6,3,5]=>[8,2,6,7,3,4,1,5]
[2,8,4,7,1,6,3,5]=>[7,2,6,8,3,1,4,5]
[4,8,2,7,1,6,3,5]=>[7,8,6,4,3,1,2,5]
[4,8,1,7,2,6,3,5]=>[8,7,6,4,3,2,1,5]
[1,8,4,7,2,6,3,5]=>[1,7,6,8,3,2,4,5]
[4,8,1,7,5,6,2,3]=>[8,6,2,4,7,5,1,3]
[1,8,4,7,5,6,2,3]=>[1,6,2,8,7,5,4,3]
[1,8,3,7,5,6,2,4]=>[1,6,8,2,7,5,3,4]
[3,8,1,7,5,6,2,4]=>[8,6,3,2,7,5,1,4]
[3,8,1,7,4,6,2,5]=>[8,6,3,7,2,4,1,5]
[1,8,3,7,4,6,2,5]=>[1,6,8,7,2,4,3,5]
[1,8,3,7,2,6,4,5]=>[1,7,8,6,4,2,3,5]
[3,8,1,7,2,6,4,5]=>[8,7,3,6,4,2,1,5]
[3,8,2,7,1,6,4,5]=>[7,8,3,6,4,1,2,5]
[3,8,2,7,4,6,1,5]=>[6,8,3,7,1,4,2,5]
[3,8,2,7,5,6,1,4]=>[6,8,3,1,7,5,2,4]
[4,8,2,7,5,6,1,3]=>[6,8,1,4,7,5,2,3]
[4,8,3,7,5,6,1,2]=>[6,1,8,4,7,5,3,2]
[3,8,4,7,5,6,1,2]=>[6,1,3,8,7,5,4,2]
[2,8,4,7,5,6,1,3]=>[6,2,1,8,7,5,4,3]
[2,8,3,7,5,6,1,4]=>[6,2,8,1,7,5,3,4]
[2,8,3,7,4,6,1,5]=>[6,2,8,7,1,4,3,5]
[2,8,3,7,1,6,4,5]=>[7,2,8,6,4,1,3,5]
[2,8,1,7,3,6,4,5]=>[8,2,7,6,4,3,1,5]
[7,5,2,8,6,4,1,3]=>[4,6,1,5,8,7,2,3]
[7,5,1,8,6,2,3,4]=>[5,7,1,3,6,8,2,4]
[7,4,8,6,1,5,2,3]=>[6,5,2,8,4,7,1,3]
[7,1,8,4,5,2,6,3]=>[7,5,6,8,4,2,1,3]
[6,8,1,7,4,2,5,3]=>[8,4,7,5,3,6,1,2]
[1,6,7,4,2,8,5,3]=>[1,4,7,5,8,6,3,2]
[1,6,7,3,8,5,2,4]=>[1,5,8,3,7,6,2,4]
[7,1,8,3,5,6,2,4]=>[7,6,8,2,3,5,1,4]
[7,3,8,6,2,5,1,4]=>[5,6,8,1,3,7,2,4]
[7,4,2,8,6,1,3,5]=>[6,4,2,8,3,7,1,5]
[7,3,1,8,4,2,5,6]=>[3,7,4,8,1,5,2,6]
[7,2,8,4,1,5,3,6]=>[4,8,7,5,2,1,3,6]
[7,2,8,3,5,1,6,4]=>[5,7,8,6,3,1,2,4]
[7,2,8,3,4,6,1,5]=>[6,7,8,3,1,4,2,5]
[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]
[6,2,3,8,5,7,4,1]=>[4,7,1,6,8,3,5,2]
[6,2,4,8,5,3,1,7]=>[3,5,8,2,6,4,1,7]
[6,3,1,4,8,5,2,7]=>[3,6,5,2,8,4,1,7]
[2,6,3,7,8,5,4,1]=>[4,2,5,8,6,3,7,1]
[2,6,3,7,8,4,5,1]=>[5,2,6,8,4,3,7,1]
[2,4,7,3,5,6,8,1]=>[8,2,7,4,3,5,6,1]
[2,4,7,3,6,8,5,1]=>[5,2,8,4,7,1,6,3]
[2,5,3,7,8,1,6,4]=>[8,2,5,6,3,1,7,4]
[3,1,5,4,7,8,2,6]=>[3,8,1,5,4,2,7,6]
[5,3,1,4,8,2,6,7]=>[3,5,8,2,4,1,6,7]
[5,2,4,8,6,1,3,7]=>[6,5,1,2,4,8,3,7]
[5,2,3,8,4,6,7,1]=>[7,5,2,8,3,4,6,1]
[4,8,2,3,6,1,7,5]=>[6,8,2,4,7,3,1,5]
[4,8,2,3,5,7,1,6]=>[7,8,2,4,3,1,5,6]
[1,4,7,8,3,6,2,5]=>[1,6,8,4,2,3,7,5]
[4,8,1,3,6,7,2,5]=>[8,7,1,4,2,3,6,5]
[5,3,8,2,4,7,1,6]=>[7,8,5,2,3,1,4,6]
[5,4,3,8,1,2,7,6]=>[8,1,4,5,3,7,2,6]
[6,4,2,8,1,3,7,5]=>[8,4,1,6,7,2,3,5]
[6,3,8,2,5,1,7,4]=>[5,8,6,7,2,3,1,4]
[6,3,8,1,4,7,2,5]=>[8,7,6,1,2,3,4,5]
[5,8,1,3,6,2,7,4]=>[8,6,1,7,5,3,2,4]
[1,5,7,4,2,6,8,3]=>[1,4,7,8,5,3,6,2]
[5,8,1,4,2,6,3,7]=>[8,4,6,1,5,2,3,7]
[5,8,4,1,2,7,6,3]=>[4,1,8,6,5,7,3,2]
[6,5,1,2,8,7,3,4]=>[5,1,6,2,7,3,8,4]
[6,5,3,1,4,2,8,7]=>[3,5,4,2,6,1,8,7]
[5,3,1,6,4,2,7,8]=>[3,5,4,6,2,1,7,8]
[5,2,6,4,1,7,3,8]=>[4,6,5,7,3,2,1,8]
[4,6,1,7,5,2,8,3]=>[6,5,7,4,8,1,3,2]
[4,5,1,7,2,6,3,8]=>[5,7,6,4,1,2,3,8]
[3,5,6,1,2,8,7,4]=>[6,1,3,7,5,2,8,4]
[3,5,7,1,8,6,2,4]=>[7,6,3,2,5,8,1,4]
[3,6,2,7,5,1,8,4]=>[5,7,3,6,8,4,2,1]
[4,2,5,7,1,8,6,3]=>[7,4,6,2,5,8,1,3]
[3,4,7,2,8,6,1,5]=>[6,8,3,4,2,7,1,5]
[3,4,5,8,2,7,1,6]=>[7,8,3,4,5,1,2,6]
[3,4,6,2,8,1,5,7]=>[8,6,3,4,1,2,5,7]
[3,5,2,6,8,1,7,4]=>[8,5,3,7,2,6,1,4]
[4,2,5,6,1,3,8,7]=>[6,4,1,2,5,3,8,7]
[4,3,1,2,5,6,8,7]=>[3,1,4,2,5,6,8,7]
[5,3,6,8,4,7,2,1]=>[2,7,5,8,3,6,4,1]
[3,7,2,5,4,8,6,1]=>[6,8,3,5,1,7,4,2]
[8,4,2,5,7,3,6,1]=>[6,4,8,7,3,2,5,1]
[4,7,2,5,8,3,6,1]=>[6,7,8,4,2,3,5,1]
[5,2,6,8,4,3,7,1]=>[7,5,4,8,2,6,3,1]
[3,1,6,5,4,8,2,7]=>[3,8,1,5,6,4,2,7]
[4,1,6,5,8,3,2,7]=>[4,3,8,1,6,5,2,7]
[5,1,6,8,4,3,2,7]=>[5,3,4,8,1,6,2,7]
[8,5,4,7,6,3,2,1]=>[2,3,6,5,7,8,1,4]
[5,7,1,8,4,3,2,6]=>[7,3,4,8,5,2,1,6]
[2,7,1,5,4,3,8,6]=>[7,2,4,5,1,8,3,6]
[8,2,1,5,4,3,7,6]=>[2,8,4,5,1,7,3,6]
[8,4,1,5,7,3,2,6]=>[4,3,8,7,2,1,5,6]
[8,5,6,7,1,3,2,4]=>[7,3,1,2,8,5,6,4]
[8,4,6,1,7,3,2,5]=>[6,3,7,8,2,4,1,5]
[8,3,6,1,4,7,2,5]=>[6,7,8,1,2,3,4,5]
[2,7,6,1,4,3,8,5]=>[6,2,4,1,7,8,5,3]
[6,7,8,5,1,3,2,4]=>[5,3,1,2,8,6,7,4]
[5,7,6,8,2,3,4,1]=>[4,8,2,3,5,7,6,1]
[5,7,2,8,4,3,6,1]=>[6,7,4,8,5,3,2,1]
[6,7,8,2,4,3,5,1]=>[5,8,4,2,3,6,7,1]
[4,7,6,2,8,3,5,1]=>[5,6,7,4,2,8,3,1]
[8,3,6,2,4,7,5,1]=>[5,7,6,3,8,1,4,2]
[3,7,6,2,4,8,5,1]=>[5,8,3,1,6,7,4,2]
[5,7,3,8,4,6,2,1]=>[2,6,7,8,5,4,3,1]
[4,7,3,5,8,6,2,1]=>[2,6,8,4,1,7,5,3]
[8,7,2,1,4,3,6,5]=>[2,7,4,1,6,3,8,5]
[8,7,3,1,4,6,2,5]=>[3,7,6,2,1,4,8,5]
[8,7,6,3,2,5,4,1]=>[4,3,5,6,1,7,8,2]
[8,7,3,5,1,6,2,4]=>[5,6,7,2,3,1,8,4]
[8,7,2,5,1,3,6,4]=>[5,7,1,6,2,3,8,4]
[8,2,6,5,1,3,7,4]=>[5,6,2,8,7,4,3,1]
[8,4,6,5,7,1,2,3]=>[7,1,2,8,6,4,5,3]
[5,7,6,8,4,1,2,3]=>[4,1,2,8,5,7,6,3]
[4,7,6,5,8,1,2,3]=>[8,1,2,4,6,7,5,3]
[3,7,6,5,1,8,2,4]=>[5,6,3,2,7,8,1,4]
[3,6,4,8,7,5,1,2]=>[5,1,3,7,6,2,8,4]
[5,6,4,3,8,7,1,2]=>[7,1,4,6,5,3,8,2]
[1,6,2,4,7,8,5,3]=>[1,6,5,2,8,4,7,3]
[3,6,2,4,8,1,5,7]=>[8,6,3,2,1,4,5,7]
[3,4,7,2,8,1,6,5]=>[8,7,3,4,6,1,2,5]
[1,4,7,2,5,8,6,3]=>[1,7,6,4,2,8,5,3]
[7,3,8,4,5,6,1,2]=>[6,1,7,8,4,5,3,2]
[3,5,6,4,8,7,1,2]=>[7,1,3,6,5,4,8,2]
[4,6,8,5,3,7,1,2]=>[7,1,5,4,8,6,3,2]
[6,8,5,3,4,7,1,2]=>[7,1,5,3,8,6,4,2]
[1,6,5,4,2,8,7,3]=>[1,4,5,6,7,2,8,3]
[1,8,5,2,7,3,6,4]=>[1,5,8,7,6,4,3,2]
[4,2,7,5,1,8,6,3]=>[5,4,7,2,6,8,3,1]
[7,8,1,4,2,6,5,3]=>[8,4,5,1,6,2,7,3]
[1,3,6,4,8,2,5,7]=>[1,8,3,6,2,4,5,7]
[4,1,7,5,3,2,6,8]=>[4,3,5,1,7,2,6,8]
[6,5,1,3,4,2,8,7]=>[5,4,1,3,6,2,8,7]
[4,8,5,3,1,7,2,6]=>[3,5,8,4,7,2,1,6]
[7,4,5,3,2,8,1,6]=>[8,3,5,7,4,1,2,6]
[5,8,3,6,1,4,2,7]=>[6,4,8,1,5,3,2,7]
[2,5,8,6,4,1,3,7]=>[4,2,1,6,5,8,3,7]
[1,4,6,2,5,8,3,7]=>[1,6,8,4,2,5,3,7]
[3,6,2,5,8,1,7,4]=>[8,6,3,7,2,5,1,4]
[1,6,8,7,4,2,3,5]=>[1,4,2,7,3,6,8,5]
[6,1,7,8,2,4,3,5]=>[6,8,4,2,3,1,7,5]
[7,1,8,6,3,4,2,5]=>[7,4,6,3,2,8,1,5]
[7,2,1,4,5,6,8,3]=>[2,7,8,1,4,5,6,3]
[1,2,8,3,6,5,7,4]=>[1,2,8,7,6,3,5,4]
[6,1,3,2,7,5,8,4]=>[6,3,1,8,7,2,5,4]
[1,6,3,8,5,7,2,4]=>[1,7,6,2,8,3,5,4]
[2,6,4,1,7,5,8,3]=>[4,2,6,8,7,3,5,1]
[7,6,5,8,1,4,2,3]=>[8,4,2,1,6,7,5,3]
[5,8,6,7,3,2,1,4]=>[2,3,7,1,5,8,6,4]
[1,6,4,3,7,2,8,5]=>[1,7,4,6,8,3,2,5]
[2,6,3,4,8,7,1,5]=>[7,2,6,3,1,4,8,5]
[7,1,3,4,5,2,8,6]=>[7,5,1,3,4,8,2,6]
[1,8,3,5,4,2,7,6]=>[1,4,5,8,2,7,3,6]
[4,1,6,3,8,2,7,5]=>[4,8,6,1,7,3,2,5]
[7,8,2,4,6,3,1,5]=>[3,6,8,1,2,4,7,5]
[3,2,6,4,7,8,1,5]=>[8,3,2,6,1,4,7,5]
[2,8,5,7,4,3,1,6]=>[3,2,4,7,8,1,5,6]
[7,2,5,8,3,4,1,6]=>[4,7,8,3,2,1,5,6]
[5,3,8,7,1,2,6,4]=>[7,1,5,6,3,2,8,4]
[6,5,3,8,2,1,7,4]=>[2,8,5,6,7,4,1,3]
[7,5,8,4,1,2,3,6]=>[4,1,2,8,7,3,5,6]
[5,8,7,4,1,3,2,6]=>[4,3,1,7,5,2,8,6]
[3,5,7,8,4,1,2,6]=>[4,1,3,8,5,2,7,6]
[1,4,7,5,3,8,2,6]=>[1,8,5,4,7,2,3,6]
[2,4,6,7,3,1,8,5]=>[3,2,7,4,8,6,1,5]
[7,8,4,6,3,1,2,5]=>[3,1,6,8,2,4,7,5]
[2,6,4,5,3,8,1,7]=>[8,2,5,6,4,3,1,7]
[3,6,5,8,4,2,1,7]=>[2,4,3,8,6,5,1,7]
[5,6,8,4,2,3,1,7]=>[3,4,2,8,5,6,1,7]
[6,8,5,4,3,1,2,7]=>[3,1,4,5,8,6,2,7]
[6,1,4,2,8,5,7,3]=>[6,4,7,1,8,2,5,3]
[4,8,6,5,3,2,7,1]=>[7,3,5,4,6,8,2,1]
[8,6,5,1,2,4,7,3]=>[5,1,6,2,8,7,4,3]
[6,7,5,8,2,1,4,3]=>[2,8,4,1,7,6,5,3]
[1,7,5,8,2,6,4,3]=>[1,8,4,6,7,2,5,3]
[1,3,8,5,7,6,2,4]=>[1,6,3,2,7,8,4,5]
[6,3,8,5,7,1,2,4]=>[7,1,6,2,8,3,5,4]
[8,3,1,5,6,2,7,4]=>[3,8,6,7,2,5,1,4]
[6,8,5,2,1,4,7,3]=>[2,5,8,3,7,6,4,1]
[3,8,2,5,6,1,7,4]=>[6,8,3,7,2,5,1,4]
[2,8,1,5,6,3,7,4]=>[8,2,6,7,1,5,3,4]
[8,1,2,5,6,3,7,4]=>[8,1,6,7,2,5,3,4]
[1,8,2,5,7,6,3,4]=>[1,8,6,3,2,7,5,4]
[5,1,8,6,2,7,3,4]=>[5,6,8,2,1,7,3,4]
[2,5,8,6,1,7,3,4]=>[6,2,8,1,5,7,3,4]
[8,6,1,5,7,2,3,4]=>[6,8,1,3,2,7,5,4]
[3,8,6,5,7,1,2,4]=>[7,1,3,2,6,8,5,4]
[7,6,5,8,1,2,4,3]=>[8,1,4,2,6,7,5,3]
[5,1,7,6,8,4,2,3]=>[5,4,2,8,1,7,6,3]
[5,1,3,7,8,6,2,4]=>[5,6,1,2,3,8,7,4]
[7,2,5,8,1,6,4,3]=>[8,7,4,6,2,1,5,3]
[3,2,8,5,7,6,1,4]=>[6,3,2,1,7,8,4,5]
[8,2,1,5,7,6,3,4]=>[2,8,6,3,1,7,5,4]
[5,2,8,6,1,7,3,4]=>[6,5,8,1,2,7,3,4]
[1,2,8,6,5,7,3,4]=>[1,2,7,3,6,8,5,4]
[4,2,1,3,6,7,8,5]=>[2,4,1,3,8,6,7,5]
[8,2,5,6,3,7,1,4]=>[7,8,6,1,2,5,3,4]
[7,2,6,5,4,1,8,3]=>[4,5,6,7,8,1,3,2]
[6,1,3,5,4,7,8,2]=>[6,8,1,5,3,4,7,2]
[6,1,5,3,4,7,8,2]=>[6,8,5,3,1,4,7,2]
[7,5,6,2,4,1,8,3]=>[4,6,8,2,7,5,1,3]
[8,5,2,6,3,7,1,4]=>[7,5,8,1,6,3,2,4]
[4,3,1,2,6,7,8,5]=>[3,1,4,2,8,6,7,5]
[8,1,6,5,7,3,2,4]=>[8,3,7,2,6,1,5,4]
[3,5,8,6,2,7,1,4]=>[7,6,3,1,5,8,2,4]
[5,8,1,6,3,7,2,4]=>[8,7,6,2,5,1,3,4]
[1,8,5,6,3,7,2,4]=>[1,7,6,2,8,5,3,4]
[1,7,6,5,4,2,8,3]=>[1,4,5,6,7,8,3,2]
[5,7,6,1,4,2,8,3]=>[6,4,7,3,5,8,2,1]
[7,1,4,2,6,5,8,3]=>[7,4,8,1,6,2,5,3]
[4,1,7,3,5,6,8,2]=>[4,8,7,1,3,5,6,2]
[2,7,4,1,5,6,8,3]=>[4,2,7,8,3,5,6,1]
[5,7,6,4,1,2,8,3]=>[4,1,6,7,5,8,2,3]
[4,7,6,1,5,2,8,3]=>[6,5,7,4,3,8,2,1]
[1,7,6,4,5,2,8,3]=>[1,5,8,6,4,7,2,3]
[1,8,3,6,5,7,2,4]=>[1,7,8,2,6,3,5,4]
[3,8,1,6,5,7,2,4]=>[8,7,3,2,6,1,5,4]
[8,1,3,5,7,6,2,4]=>[8,6,1,2,3,7,5,4]
[7,8,5,4,1,6,2,3]=>[4,5,2,8,6,1,7,3]
[6,1,5,4,3,7,8,2]=>[6,8,4,5,1,3,7,2]
[7,5,6,4,2,1,8,3]=>[2,4,6,8,7,5,3,1]
[8,3,2,6,5,7,1,4]=>[7,3,8,1,6,2,5,4]
[7,4,6,2,5,1,8,3]=>[5,6,8,7,2,4,1,3]
[6,1,4,3,5,7,8,2]=>[6,8,4,1,3,5,7,2]
[6,1,3,4,5,7,8,2]=>[6,8,1,3,4,5,7,2]
[7,2,6,4,5,1,8,3]=>[5,7,8,6,4,2,1,3]
[8,2,3,6,5,7,1,4]=>[7,8,2,1,6,3,5,4]
[5,4,7,3,6,8,1,2]=>[8,1,7,5,4,3,6,2]
[3,4,7,8,5,6,1,2]=>[6,1,3,4,8,5,7,2]
[3,4,7,2,5,1,6,8]=>[5,7,3,4,2,1,6,8]
[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]
[3,6,2,4,7,1,5,8]=>[7,6,3,2,1,4,5,8]
[6,8,3,4,5,7,1,2]=>[7,1,8,3,4,6,5,2]
[4,3,6,7,5,8,1,2]=>[8,1,4,3,7,6,5,2]
[6,3,7,5,8,4,1,2]=>[4,1,8,6,7,2,5,3]
[7,3,8,6,4,5,1,2]=>[5,1,7,6,4,8,3,2]
[3,2,7,6,5,1,4,8]=>[5,3,2,1,6,7,4,8]
[1,2,7,6,5,8,3,4]=>[1,2,8,3,6,7,5,4]
[4,8,2,6,1,5,3,7]=>[6,8,5,4,1,2,3,7]
[2,3,8,6,4,1,5,7]=>[4,2,3,6,1,8,5,7]
[4,3,6,2,5,1,8,7]=>[5,6,4,3,2,1,8,7]
[7,8,3,2,5,1,4,6]=>[5,3,8,1,2,4,7,6]
[7,8,1,2,5,6,3,4]=>[8,1,6,3,2,5,7,4]
[4,1,6,2,5,7,3,8]=>[4,6,7,1,2,5,3,8]
[6,1,2,5,8,7,3,4]=>[6,1,7,3,2,5,8,4]
[2,1,8,6,4,7,3,5]=>[2,1,7,6,3,8,4,5]
[7,1,3,6,8,4,2,5]=>[7,4,1,8,2,3,6,5]
[1,8,3,6,7,4,5,2]=>[1,5,8,7,4,3,6,2]
[7,1,5,8,3,6,2,4]=>[7,6,8,2,1,3,5,4]
[5,1,8,7,2,3,6,4]=>[5,7,2,6,1,3,8,4]
[6,1,5,7,4,2,8,3]=>[6,4,7,8,1,5,3,2]
[3,1,6,4,7,2,5,8]=>[3,7,1,6,2,4,5,8]
[2,4,7,5,1,8,3,6]=>[5,2,7,4,8,1,3,6]
[6,5,7,1,4,2,3,8]=>[7,4,2,1,6,5,3,8]
[5,6,8,1,3,2,4,7]=>[8,3,1,2,5,6,4,7]
[6,8,5,1,3,4,2,7]=>[5,4,1,3,8,6,2,7]
[2,8,3,4,5,1,7,6]=>[5,2,8,3,4,7,1,6]
[6,2,4,3,1,5,7,8]=>[3,4,6,1,2,5,7,8]
[4,2,8,3,1,7,5,6]=>[3,8,4,1,7,5,2,6]
[1,3,7,4,8,2,5,6]=>[1,8,3,7,2,5,4,6]
[5,3,7,4,1,6,2,8]=>[4,7,6,5,1,2,3,8]
[2,4,7,3,6,1,8,5]=>[6,2,7,4,8,3,1,5]
[5,8,7,6,3,1,2,4]=>[3,1,6,2,5,7,8,4]
[7,5,6,8,1,4,3,2]=>[8,3,4,1,7,5,6,2]
[2,4,7,1,6,5,3,8]=>[7,2,5,4,6,1,3,8]
[1,2,7,8,5,4,3,6]=>[1,2,4,5,8,3,7,6]
[6,3,1,2,8,4,5,7]=>[3,1,6,8,4,2,5,7]
[4,2,1,3,6,5,8,7]=>[2,4,1,3,6,5,8,7]
[2,8,1,4,5,6,3,7]=>[8,2,6,1,4,5,3,7]
[7,2,1,5,4,6,3,8]=>[2,7,6,5,1,4,3,8]
[4,2,6,1,8,5,3,7]=>[6,4,5,2,8,1,3,7]
[7,8,2,1,4,5,3,6]=>[2,8,5,1,4,3,7,6]
[7,8,4,1,5,3,6,2]=>[4,8,6,5,2,1,7,3]
[3,4,6,1,5,8,7,2]=>[6,7,3,4,1,5,8,2]
[7,5,1,6,4,3,8,2]=>[5,7,4,8,6,2,1,3]
[5,8,1,6,3,4,7,2]=>[8,7,6,3,5,1,4,2]
[6,5,1,8,2,7,4,3]=>[5,6,4,8,7,2,3,1]
[6,8,1,7,5,2,3,4]=>[8,5,2,3,7,6,1,4]
[7,6,1,8,5,3,2,4]=>[6,3,5,1,7,8,2,4]
[5,6,1,7,4,8,2,3]=>[6,8,2,7,5,1,4,3]
[3,6,1,5,7,4,2,8]=>[6,4,3,7,1,5,2,8]
[2,5,6,1,7,4,8,3]=>[6,2,8,7,5,1,4,3]
[3,1,7,5,6,4,8,2]=>[3,8,1,6,7,5,4,2]
[5,1,7,6,4,8,3,2]=>[5,3,8,6,1,7,4,2]
[6,1,7,8,5,3,4,2]=>[6,4,5,3,8,1,7,2]
[7,1,8,6,5,4,2,3]=>[7,4,2,5,6,8,1,3]
[2,6,5,7,3,4,8,1]=>[8,2,7,3,6,5,4,1]
[1,6,4,7,5,8,2,3]=>[1,8,2,6,7,4,5,3]
[8,5,3,6,2,7,4,1]=>[4,7,6,5,8,1,3,2]
[1,3,7,4,6,8,2,5]=>[1,8,3,7,2,4,6,5]
[4,7,5,6,3,2,8,1]=>[8,3,6,4,7,5,2,1]
[1,7,6,5,4,8,2,3]=>[1,8,2,5,6,7,4,3]
[8,1,6,5,7,2,4,3]=>[8,7,4,2,6,1,5,3]
[1,2,7,6,8,3,4,5]=>[1,2,8,3,4,7,6,5]
[6,1,7,5,3,8,2,4]=>[6,8,5,2,7,1,3,4]
[2,1,7,5,6,8,3,4]=>[2,1,8,3,7,5,6,4]
[5,4,1,7,6,8,2,3]=>[4,5,1,8,2,7,6,3]
[4,8,5,6,2,7,3,1]=>[3,7,6,4,8,5,1,2]
[3,8,6,4,2,7,5,1]=>[5,4,3,7,6,8,1,2]
[7,8,5,2,4,6,3,1]=>[3,6,5,1,8,4,7,2]
[2,8,6,3,7,4,5,1]=>[5,2,6,8,3,7,4,1]
[7,8,1,6,2,4,5,3]=>[8,6,5,2,4,1,7,3]
[6,8,1,4,7,2,5,3]=>[8,7,5,1,2,6,4,3]
[3,8,4,1,7,2,6,5]=>[4,8,3,7,6,1,2,5]
[5,4,7,1,8,3,2,6]=>[7,3,8,5,4,2,1,6]
[3,7,4,1,8,5,2,6]=>[4,7,3,5,8,1,2,6]
[6,7,1,4,8,3,2,5]=>[7,3,8,1,2,6,4,5]
[2,7,1,8,4,5,3,6]=>[7,2,5,8,4,3,1,6]
[6,1,2,8,4,3,5,7]=>[6,1,4,8,3,2,5,7]
[6,5,1,4,3,8,2,7]=>[5,6,4,2,8,3,1,7]
[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]
[8,5,1,3,7,2,6,4]=>[5,8,2,7,6,4,3,1]
[8,4,2,1,7,3,6,5]=>[2,4,8,7,6,1,3,5]
[7,4,2,1,8,5,3,6]=>[2,4,7,5,8,1,3,6]
[1,5,4,2,8,3,6,7]=>[1,4,5,8,3,2,6,7]
[6,4,3,1,5,8,2,7]=>[3,4,6,8,1,5,2,7]
[3,7,6,8,4,5,2,1]=>[2,5,3,8,4,7,6,1]
[2,7,6,8,5,3,4,1]=>[4,2,5,3,8,7,6,1]
[1,7,6,8,5,4,2,3]=>[1,4,2,5,8,7,6,3]
[1,4,8,6,7,5,2,3]=>[1,5,2,4,7,8,6,3]
[2,4,8,6,7,3,5,1]=>[5,2,7,4,3,8,6,1]
[7,3,8,5,4,6,2,1]=>[2,6,7,5,8,4,3,1]
[3,4,8,5,6,7,2,1]=>[2,7,3,4,8,5,6,1]
[6,3,5,8,4,7,2,1]=>[2,7,6,8,3,5,4,1]
[5,4,3,8,6,7,2,1]=>[2,7,4,5,3,8,6,1]
[5,4,2,8,7,3,6,1]=>[6,4,5,7,3,2,8,1]
[6,2,5,8,7,3,4,1]=>[4,6,7,3,2,5,8,1]
[3,2,8,5,7,4,6,1]=>[6,3,2,7,8,4,5,1]
[1,3,8,7,5,6,2,4]=>[1,6,3,2,7,5,8,4]
[2,1,8,7,4,6,3,5]=>[2,1,6,7,3,4,8,5]
[3,1,8,5,7,6,2,4]=>[3,6,1,2,7,8,4,5]
[6,1,5,8,7,4,2,3]=>[6,4,2,7,1,5,8,3]
[5,4,1,8,7,6,2,3]=>[4,5,1,6,2,7,8,3]
[5,8,6,7,4,3,2,1]=>[2,3,4,7,5,8,6,1]
[4,8,7,5,6,3,2,1]=>[2,3,6,4,7,5,8,1]
[4,2,1,6,3,5,8,7]=>[2,4,6,1,3,5,8,7]
[6,2,1,4,3,5,8,7]=>[2,6,4,1,3,5,8,7]
[6,2,1,4,3,8,5,7]=>[2,6,4,1,8,3,5,7]
[8,2,1,4,3,6,5,7]=>[2,8,4,1,6,3,5,7]
[8,2,4,1,3,6,5,7]=>[4,8,1,2,6,3,5,7]
[6,2,4,1,3,8,5,7]=>[4,6,1,2,8,3,5,7]
[6,2,4,1,3,5,8,7]=>[4,6,1,2,3,5,8,7]
[4,2,6,1,3,5,8,7]=>[6,4,1,2,3,5,8,7]
[2,1,6,4,3,5,8,7]=>[2,1,4,6,3,5,8,7]
[2,6,1,4,3,5,8,7]=>[6,2,4,1,3,5,8,7]
[2,6,4,1,3,5,8,7]=>[4,2,1,6,3,5,8,7]
[4,6,2,1,3,5,8,7]=>[2,6,1,4,3,5,8,7]
[6,4,2,1,3,5,8,7]=>[2,4,1,6,3,5,8,7]
[8,4,2,1,3,6,5,7]=>[2,4,1,8,6,3,5,7]
[8,4,2,1,6,3,5,7]=>[2,4,8,6,1,3,5,7]
[6,4,2,1,8,3,5,7]=>[2,4,6,8,1,3,5,7]
[4,6,2,1,8,3,5,7]=>[2,6,8,4,3,1,5,7]
[2,6,1,4,3,8,5,7]=>[6,2,4,1,8,3,5,7]
[2,1,6,4,3,8,5,7]=>[2,1,4,6,8,3,5,7]
[2,1,8,4,3,6,5,7]=>[2,1,4,8,6,3,5,7]
[2,8,1,4,3,6,5,7]=>[8,2,4,1,6,3,5,7]
[2,8,4,1,3,6,5,7]=>[4,2,1,8,6,3,5,7]
[4,8,2,1,3,6,5,7]=>[2,8,1,4,6,3,5,7]
[4,8,2,1,6,3,5,7]=>[2,8,6,4,3,1,5,7]
[6,8,2,1,4,3,5,7]=>[2,8,4,1,3,6,5,7]
[8,6,2,1,4,3,5,7]=>[2,6,4,1,3,8,5,7]
[2,8,1,4,6,3,5,7]=>[8,2,6,1,3,4,5,7]
[2,1,8,4,6,3,5,7]=>[2,1,6,8,3,4,5,7]
[2,1,6,4,8,3,5,7]=>[2,1,8,6,3,4,5,7]
[2,6,1,4,8,3,5,7]=>[6,2,8,1,3,4,5,7]
[2,6,4,1,8,3,5,7]=>[4,2,6,8,1,3,5,7]
[2,6,4,8,1,3,5,7]=>[8,2,1,6,3,4,5,7]
[4,6,2,8,1,3,5,7]=>[8,6,1,4,3,2,5,7]
[4,2,6,1,3,8,5,7]=>[6,4,1,2,8,3,5,7]
[4,2,6,1,8,3,5,7]=>[6,4,8,2,3,1,5,7]
[6,2,4,1,8,3,5,7]=>[4,6,8,2,3,1,5,7]
[8,2,4,1,6,3,5,7]=>[4,8,6,2,3,1,5,7]
[8,2,1,4,6,3,5,7]=>[2,8,6,1,3,4,5,7]
[6,2,1,4,8,3,5,7]=>[2,6,8,1,3,4,5,7]
[4,2,1,6,8,3,5,7]=>[2,4,8,1,3,6,5,7]
[4,2,1,6,3,8,5,7]=>[2,4,6,1,8,3,5,7]
[4,2,1,3,6,8,5,7]=>[2,4,1,3,8,6,5,7]
[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,8,5,7]
[2,4,1,3,8,6,5,7]=>[4,2,1,3,6,8,5,7]
[4,2,1,3,8,6,5,7]=>[2,4,1,3,6,8,5,7]
[4,2,1,8,3,6,5,7]=>[2,4,8,1,6,3,5,7]
[4,2,1,8,6,3,5,7]=>[2,4,6,1,3,8,5,7]
[6,2,1,8,4,3,5,7]=>[2,6,4,8,3,1,5,7]
[8,2,1,6,4,3,5,7]=>[2,8,4,6,3,1,5,7]
[8,2,6,1,4,3,5,7]=>[6,8,4,1,3,2,5,7]
[6,2,8,1,4,3,5,7]=>[8,6,4,1,3,2,5,7]
[4,2,8,1,6,3,5,7]=>[8,4,6,2,3,1,5,7]
[4,2,8,1,3,6,5,7]=>[8,4,1,2,6,3,5,7]
[2,4,8,1,3,6,5,7]=>[8,2,1,4,6,3,5,7]
[2,4,1,8,3,6,5,7]=>[4,2,8,1,6,3,5,7]
[2,1,4,8,3,6,5,7]=>[2,1,8,4,6,3,5,7]
[2,1,4,8,6,3,5,7]=>[2,1,6,4,3,8,5,7]
[2,4,8,1,6,3,5,7]=>[8,2,6,4,3,1,5,7]
[2,4,8,6,1,3,5,7]=>[6,2,1,4,3,8,5,7]
[4,2,8,6,1,3,5,7]=>[6,4,1,2,3,8,5,7]
[6,2,8,4,1,3,5,7]=>[4,8,2,6,3,1,5,7]
[8,2,6,4,1,3,5,7]=>[4,6,2,8,3,1,5,7]
[8,4,6,2,1,3,5,7]=>[2,6,1,8,3,4,5,7]
[6,4,8,2,1,3,5,7]=>[2,8,1,6,3,4,5,7]
[4,6,8,2,1,3,5,7]=>[2,8,1,4,3,6,5,7]
[2,6,8,4,1,3,5,7]=>[4,2,1,8,3,6,5,7]
[2,6,8,1,4,3,5,7]=>[8,2,4,1,3,6,5,7]
[2,6,1,8,4,3,5,7]=>[6,2,4,8,3,1,5,7]
[2,1,6,8,4,3,5,7]=>[2,1,4,8,3,6,5,7]
[2,1,8,6,4,3,5,7]=>[2,1,4,6,3,8,5,7]
[2,8,1,6,4,3,5,7]=>[8,2,4,6,3,1,5,7]
[2,8,6,4,1,3,5,7]=>[4,2,1,6,3,8,5,7]
[4,8,6,2,1,3,5,7]=>[2,6,1,4,3,8,5,7]
[6,8,4,2,1,3,5,7]=>[2,4,1,8,3,6,5,7]
[3,2,6,1,5,4,8,7]=>[6,3,2,5,1,4,8,7]
[5,2,4,3,8,1,7,6]=>[8,5,4,2,3,7,1,6]
[6,2,4,1,5,3,8,7]=>[4,6,5,2,1,3,8,7]
[4,3,6,1,5,2,8,7]=>[6,5,4,3,1,2,8,7]
[4,3,5,2,8,1,7,6]=>[8,5,4,3,2,7,1,6]
[4,3,7,2,6,5,8,1]=>[8,7,4,3,6,2,5,1]
[4,3,8,2,6,1,7,5]=>[6,8,4,3,7,2,1,5]
[4,3,8,1,7,2,6,5]=>[8,7,4,3,6,2,1,5]
[4,3,8,1,5,2,7,6]=>[8,5,4,3,1,7,2,6]
[5,1,8,3,4,2,7,6]=>[5,4,8,3,1,7,2,6]
[5,4,8,1,3,2,7,6]=>[8,3,1,5,4,7,2,6]
[2,1,5,4,8,3,7,6]=>[2,1,8,5,4,7,3,6]
[5,1,7,6,8,3,4,2]=>[5,4,8,3,1,7,6,2]
[4,3,7,6,8,1,5,2]=>[8,5,4,3,1,7,6,2]
[4,3,7,1,8,5,6,2]=>[7,6,4,3,8,5,1,2]
[4,3,6,5,8,1,7,2]=>[8,7,4,3,6,5,1,2]
[6,3,5,4,7,2,8,1]=>[8,7,6,5,3,4,2,1]
[6,3,5,4,8,1,7,2]=>[8,7,6,5,3,4,1,2]
[7,1,6,3,8,4,5,2]=>[7,5,6,8,4,1,3,2]
[7,4,6,5,8,1,3,2]=>[8,3,1,7,6,4,5,2]
[2,1,8,4,6,3,7,5]=>[2,1,6,8,7,4,3,5]
[8,4,6,1,3,2,7,5]=>[6,3,1,8,7,4,2,5]
[8,1,6,3,4,2,7,5]=>[8,4,6,3,7,1,2,5]
[8,1,6,3,7,2,5,4]=>[8,7,6,5,2,1,3,4]
[8,3,5,1,7,2,6,4]=>[5,7,8,6,3,2,1,4]
[8,3,5,2,6,1,7,4]=>[6,5,8,7,3,2,1,4]
[7,3,5,2,6,4,8,1]=>[8,5,7,6,3,2,4,1]
[8,2,6,3,5,1,7,4]=>[5,8,6,7,3,2,1,4]
[8,2,7,1,5,3,6,4]=>[7,8,5,6,1,3,2,4]
[8,2,4,1,5,3,7,6]=>[4,8,5,2,1,7,3,6]
[8,2,4,1,7,3,6,5]=>[4,8,7,2,6,3,1,5]
[8,2,4,3,6,1,7,5]=>[6,8,4,2,7,3,1,5]
[3,2,8,4,6,1,7,5]=>[6,3,2,8,7,4,1,5]
[3,2,8,1,5,4,7,6]=>[8,3,2,5,1,7,4,6]
[3,2,7,6,8,1,5,4]=>[8,3,2,5,1,7,6,4]
[3,2,7,1,8,5,6,4]=>[7,3,2,6,8,5,1,4]
[3,2,6,5,8,1,7,4]=>[8,3,2,7,6,5,1,4]
[6,5,7,2,4,3,8,1]=>[8,7,4,2,6,5,3,1]
[6,5,8,2,4,1,7,3]=>[4,8,7,2,6,5,1,3]
[7,2,4,1,8,5,6,3]=>[4,7,6,2,8,5,1,3]
[7,6,8,2,4,1,5,3]=>[4,8,5,2,1,7,6,3]
[7,6,8,1,5,2,4,3]=>[8,5,4,2,1,7,6,3]
[2,1,7,3,8,5,6,4]=>[2,1,7,6,8,5,3,4]
[7,1,3,2,8,5,6,4]=>[7,3,1,6,8,5,2,4]
[7,1,8,5,6,2,4,3]=>[7,6,4,2,8,5,1,3]
[7,1,8,2,6,4,5,3]=>[7,8,5,6,4,2,1,3]
[7,2,8,1,5,4,6,3]=>[8,7,6,5,1,4,2,3]
[6,2,7,4,5,3,8,1]=>[8,6,5,7,4,2,3,1]
[5,4,7,2,6,3,8,1]=>[8,7,6,5,4,2,3,1]
[5,4,8,2,6,1,7,3]=>[6,8,7,5,4,2,1,3]
[6,5,8,1,7,2,4,3]=>[8,7,4,2,6,5,1,3]
[2,1,6,5,8,3,7,4]=>[2,1,8,7,6,5,3,4]
[6,5,7,4,8,1,3,2]=>[8,3,1,7,6,5,4,2]
[6,5,7,1,8,3,4,2]=>[7,4,8,3,6,5,1,2]
[6,1,7,4,8,3,5,2]=>[6,5,8,7,3,1,4,2]
[5,4,7,1,8,3,6,2]=>[7,6,8,5,4,3,1,2]
[5,4,6,3,8,1,7,2]=>[8,7,6,5,4,3,1,2]
[2,8,3,1,5,4,6,7]=>[3,2,8,5,1,4,6,7]
[2,5,3,4,7,1,8,6]=>[7,2,5,3,4,8,1,6]
[2,4,8,3,5,7,6,1]=>[6,2,7,4,1,8,5,3]
[4,2,5,3,1,8,6,7]=>[3,5,4,1,2,8,6,7]
[4,2,1,8,5,3,6,7]=>[2,4,5,1,8,3,6,7]
[5,4,1,3,8,2,6,7]=>[4,5,2,8,3,1,6,7]
[5,1,4,8,3,2,6,7]=>[5,3,8,1,4,2,6,7]
[1,5,8,4,3,2,6,7]=>[1,3,4,8,5,2,6,7]
[1,8,5,4,3,2,6,7]=>[1,3,4,5,8,2,6,7]
[1,7,4,3,8,5,2,6]=>[1,5,4,8,7,3,2,6]
[1,5,7,3,8,4,2,6]=>[1,4,8,7,5,3,2,6]
[5,1,4,7,8,3,2,6]=>[5,3,8,1,4,2,7,6]
[4,8,1,5,7,3,6,2]=>[8,6,7,4,1,3,5,2]
[8,1,5,3,7,4,6,2]=>[8,6,5,7,1,4,3,2]
[3,8,4,7,6,5,2,1]=>[2,5,3,6,7,8,4,1]
[1,6,8,5,3,7,4,2]=>[1,4,7,5,8,6,2,3]
[6,8,1,7,4,3,5,2]=>[8,5,4,7,3,6,1,2]
[6,4,8,1,7,3,5,2]=>[8,5,7,6,3,4,1,2]
[6,4,8,7,1,5,2,3]=>[7,5,2,6,1,4,8,3]
[7,6,4,1,3,8,2,5]=>[4,6,1,7,2,8,3,5]
[1,7,5,6,3,2,8,4]=>[1,3,6,8,7,5,2,4]
[4,2,1,7,8,5,3,6]=>[2,4,5,1,8,3,7,6]
[2,7,4,6,3,1,8,5]=>[3,2,6,7,8,4,1,5]
[2,6,8,4,3,7,5,1]=>[5,2,4,7,8,6,1,3]
[6,2,4,8,3,7,5,1]=>[5,7,6,3,8,4,1,2]
[7,2,6,3,4,1,8,5]=>[4,7,6,3,8,2,1,5]
[2,6,7,3,1,4,8,5]=>[3,2,7,1,8,6,4,5]
[2,7,1,8,3,5,4,6]=>[7,2,8,5,3,4,1,6]
[2,1,7,3,5,8,4,6]=>[2,1,7,8,3,4,5,6]
[8,7,1,3,6,2,4,5]=>[7,6,1,2,4,3,8,5]
[8,2,1,7,3,5,6,4]=>[2,8,7,6,3,5,1,4]
[7,8,2,6,3,1,5,4]=>[3,6,8,5,2,1,7,4]
[8,7,2,6,3,5,4,1]=>[4,5,7,6,1,3,8,2]
[1,2,8,7,4,5,6,3]=>[1,2,6,7,4,5,8,3]
[8,3,7,1,5,6,2,4]=>[7,6,8,2,1,5,3,4]
[8,6,1,2,7,5,3,4]=>[6,1,5,2,8,7,3,4]
[8,1,6,2,7,4,5,3]=>[8,6,5,7,4,1,2,3]
[1,8,5,2,6,7,4,3]=>[1,5,4,8,7,3,6,2]
[5,2,1,8,6,7,4,3]=>[2,5,4,7,1,8,6,3]
[2,8,5,7,6,4,3,1]=>[3,2,4,6,7,8,1,5]
[1,7,8,5,2,6,4,3]=>[1,5,4,8,6,3,7,2]
[7,8,1,6,4,2,5,3]=>[8,4,6,5,3,1,7,2]
[7,8,6,1,5,3,2,4]=>[6,3,5,2,1,8,7,4]
[7,3,8,6,1,5,2,4]=>[6,5,8,2,3,7,1,4]
[8,7,6,1,5,3,4,2]=>[6,4,5,3,1,7,8,2]
[8,7,1,6,4,5,3,2]=>[7,3,5,6,4,1,8,2]
[8,1,7,5,6,4,3,2]=>[8,3,4,6,7,5,1,2]
[1,8,6,7,5,4,3,2]=>[1,3,4,5,7,8,6,2]
[6,3,5,2,1,4,8,7]=>[2,5,6,1,3,4,8,7]
[6,3,5,7,2,8,4,1]=>[4,8,7,6,1,5,3,2]
[8,5,2,7,4,3,1,6]=>[3,4,7,5,8,1,2,6]
[4,5,3,6,1,2,8,7]=>[6,1,5,4,3,2,8,7]
[3,5,1,4,6,2,8,7]=>[5,6,3,1,4,2,8,7]
[8,3,4,5,7,2,1,6]=>[2,7,8,3,4,1,5,6]
[5,7,4,6,3,8,2,1]=>[2,8,6,7,5,4,3,1]
[2,8,4,6,3,7,1,5]=>[7,2,6,8,1,4,3,5]
[8,1,4,7,3,6,2,5]=>[8,6,7,1,2,3,4,5]
[8,3,4,7,5,1,2,6]=>[5,1,7,2,8,3,4,6]
[8,5,1,4,7,3,2,6]=>[5,3,8,2,7,1,4,6]
[8,5,3,7,1,4,2,6]=>[7,4,5,1,8,2,3,6]
[2,1,8,5,7,4,3,6]=>[2,1,4,7,8,3,5,6]
[6,5,3,7,1,8,4,2]=>[7,4,8,5,6,2,1,3]
[6,5,1,4,7,8,3,2]=>[5,3,6,2,8,4,7,1]
[6,3,4,7,5,8,1,2]=>[8,1,6,3,7,4,5,2]
[5,1,4,6,8,3,7,2]=>[5,7,8,1,4,6,3,2]
[4,7,1,3,5,8,6,2]=>[7,6,1,4,3,8,5,2]
[4,8,3,7,1,2,6,5]=>[7,1,8,4,6,2,3,5]
[3,8,6,4,1,7,2,5]=>[4,6,3,8,2,7,1,5]
[3,8,1,2,5,7,6,4]=>[8,1,3,6,2,7,5,4]
[2,8,7,5,4,1,3,6]=>[4,2,1,5,7,3,8,6]
[8,7,2,6,4,1,3,5]=>[4,6,2,7,3,1,8,5]
[3,8,6,7,4,2,1,5]=>[2,4,3,7,1,8,6,5]
[5,7,6,8,4,2,3,1]=>[3,4,2,8,5,7,6,1]
[5,3,7,8,2,4,6,1]=>[6,8,5,2,3,4,7,1]
[8,3,6,2,1,4,7,5]=>[2,6,8,1,7,3,4,5]
[5,3,7,6,2,1,8,4]=>[2,6,5,7,3,8,4,1]
[5,3,6,2,8,7,1,4]=>[7,6,5,1,3,2,8,4]
[5,7,8,6,4,2,1,3]=>[2,4,1,6,5,8,7,3]
[2,6,7,5,4,8,1,3]=>[8,2,1,5,7,6,4,3]
[6,1,7,4,5,8,2,3]=>[6,8,2,7,4,1,5,3]
[6,7,3,5,1,8,2,4]=>[5,8,7,2,3,6,1,4]
[2,1,6,7,5,8,3,4]=>[2,1,8,3,7,6,5,4]
[2,1,5,7,3,6,8,4]=>[2,1,7,8,5,3,6,4]
[5,7,3,6,1,2,8,4]=>[6,1,7,8,5,3,2,4]
[4,1,7,2,5,6,8,3]=>[4,7,8,1,2,5,6,3]
[2,4,7,1,6,5,8,3]=>[7,2,8,4,6,1,5,3]
[4,6,2,1,8,7,5,3]=>[2,6,5,4,7,1,8,3]
[3,4,6,2,7,8,5,1]=>[5,8,3,4,6,1,7,2]
[4,6,1,2,5,8,7,3]=>[6,1,7,4,2,5,8,3]
[5,6,1,4,8,2,7,3]=>[6,8,7,1,5,4,2,3]
[5,6,3,1,8,7,2,4]=>[3,6,7,1,5,2,8,4]
[3,5,6,4,7,1,8,2]=>[7,8,3,6,5,4,1,2]
[3,4,6,1,5,7,8,2]=>[6,8,3,4,1,5,7,2]
[3,4,1,5,7,6,8,2]=>[4,8,3,1,5,7,6,2]
[3,8,2,7,1,6,5,4]=>[7,8,3,5,6,1,2,4]
[3,8,2,7,6,1,5,4]=>[6,7,3,5,2,8,1,4]
[3,8,2,7,6,5,1,4]=>[5,6,3,1,7,8,2,4]
[3,8,2,7,6,5,4,1]=>[4,5,3,6,7,8,1,2]
[4,8,7,2,6,5,3,1]=>[3,5,6,4,7,2,8,1]
[4,8,7,2,6,5,1,3]=>[5,6,2,4,7,1,8,3]
[4,8,7,2,6,1,5,3]=>[6,7,5,4,1,2,8,3]
[4,8,7,2,1,6,5,3]=>[2,7,5,4,6,1,8,3]
[4,8,7,3,1,6,5,2]=>[3,7,5,4,6,2,8,1]
[4,8,7,3,2,1,6,5]=>[2,3,7,4,6,1,8,5]
[4,8,7,3,2,6,1,5]=>[6,3,7,4,1,2,8,5]
[4,8,7,3,2,6,5,1]=>[5,3,6,4,7,1,8,2]
[4,8,7,3,6,2,5,1]=>[5,6,7,4,2,3,8,1]
[4,8,7,3,6,2,1,5]=>[2,6,7,4,1,3,8,5]
[4,8,7,3,6,1,5,2]=>[6,5,7,4,1,3,8,2]
[4,8,7,3,6,5,1,2]=>[5,1,6,4,7,2,8,3]
[4,8,7,3,6,5,2,1]=>[2,5,6,4,7,1,8,3]
[5,8,7,6,3,4,2,1]=>[2,4,6,3,5,7,8,1]
[5,8,7,6,3,1,4,2]=>[3,6,4,2,5,7,8,1]
[5,8,7,6,3,2,4,1]=>[4,3,6,2,5,7,8,1]
[5,8,7,6,2,4,3,1]=>[3,4,6,1,5,7,8,2]
[5,8,7,6,2,1,4,3]=>[2,6,4,1,5,7,8,3]
[5,8,7,6,4,2,3,1]=>[3,4,2,6,5,7,8,1]
[5,8,7,6,4,2,1,3]=>[2,4,1,6,5,7,8,3]
[5,8,7,6,4,1,3,2]=>[4,3,1,6,5,7,8,2]
[5,8,7,6,4,3,1,2]=>[3,1,4,6,5,7,8,2]
[7,3,4,2,1,6,5,8]=>[2,4,7,3,6,1,5,8]
[7,3,5,2,6,1,4,8]=>[6,5,7,1,3,2,4,8]
[7,3,5,2,6,4,1,8]=>[4,6,5,7,1,3,2,8]
[6,3,5,2,7,4,8,1]=>[8,5,6,7,3,2,4,1]
[7,2,1,5,6,4,3,8]=>[2,7,4,6,1,5,3,8]
[7,3,5,1,6,4,2,8]=>[5,4,6,7,2,1,3,8]
[7,4,5,6,1,3,2,8]=>[6,3,1,7,4,5,2,8]
[1,4,5,7,3,2,8,6]=>[1,3,7,4,5,8,2,6]
[1,4,6,7,3,8,2,5]=>[1,8,7,4,2,6,3,5]
[6,4,5,7,3,1,8,2]=>[3,7,8,6,4,5,2,1]
[6,4,5,7,1,3,8,2]=>[7,8,1,6,4,5,3,2]
[6,3,5,1,7,4,8,2]=>[5,8,6,7,3,1,4,2]
[6,2,1,5,7,4,8,3]=>[2,6,8,7,1,5,4,3]
[3,2,1,5,7,4,8,6]=>[2,3,1,7,5,8,4,6]
[2,4,6,7,3,8,1,5]=>[8,2,7,4,1,6,3,5]
[1,4,6,7,3,8,5,2]=>[1,5,8,4,7,6,2,3]
[1,5,6,7,8,3,4,2]=>[1,4,8,3,5,6,7,2]
[2,5,6,7,8,3,1,4]=>[3,2,8,1,5,6,7,4]
[3,2,1,6,7,8,4,5]=>[2,3,1,8,4,6,7,5]
[5,2,1,6,7,8,4,3]=>[2,5,4,8,1,6,7,3]
[5,3,6,1,7,8,4,2]=>[6,4,8,5,2,1,7,3]
[5,4,6,7,1,8,3,2]=>[7,3,8,5,4,6,1,2]
[1,5,6,7,8,3,2,4]=>[1,3,8,2,5,6,7,4]
[6,4,5,7,2,1,8,3]=>[2,7,8,6,4,5,1,3]
[5,4,6,7,2,8,3,1]=>[3,8,7,5,4,6,1,2]
[5,3,6,2,7,8,4,1]=>[4,8,6,5,1,3,7,2]
[5,3,6,2,7,8,1,4]=>[8,6,5,1,3,2,7,4]
[6,3,5,2,7,1,8,4]=>[7,5,6,8,3,2,1,4]
[6,3,4,2,1,7,8,5]=>[2,4,6,3,8,1,7,5]
[5,3,4,1,2,7,8,6]=>[4,1,5,3,2,8,7,6]
[4,3,6,2,7,8,1,5]=>[8,6,4,3,1,2,7,5]
[4,3,6,2,7,8,5,1]=>[5,8,4,3,6,1,7,2]
[1,3,6,2,7,8,5,4]=>[1,6,3,5,8,2,7,4]
[1,4,6,7,2,8,5,3]=>[1,7,5,4,8,6,2,3]
[3,4,6,7,2,8,5,1]=>[5,8,3,4,7,6,1,2]
[3,4,5,7,2,1,8,6]=>[2,7,3,4,5,8,1,6]
[4,2,1,5,7,3,8,6]=>[2,4,7,1,5,8,3,6]
[4,2,1,6,7,8,3,5]=>[2,4,8,1,3,6,7,5]
[4,3,6,1,7,8,2,5]=>[6,8,4,3,2,1,7,5]
[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]
[1,5,6,7,8,4,2,3]=>[1,4,2,8,5,6,7,3]
[3,4,6,7,1,8,5,2]=>[7,5,3,4,8,6,1,2]
[4,3,6,1,7,8,5,2]=>[6,5,4,3,8,1,7,2]
[4,2,1,6,7,8,5,3]=>[2,4,5,1,8,6,7,3]
[2,3,6,1,7,8,5,4]=>[6,2,3,5,8,1,7,4]
[2,4,6,7,1,8,5,3]=>[7,2,5,4,8,6,1,3]
[2,5,6,7,8,1,4,3]=>[8,2,4,1,5,6,7,3]
[1,4,3,6,2,5,7,8]=>[1,6,4,3,2,5,7,8]
[1,4,3,7,2,5,6,8]=>[1,7,4,3,2,5,6,8]
[1,4,3,7,6,8,2,5]=>[1,8,4,3,2,7,6,5]
[1,4,3,7,5,8,2,6]=>[1,8,4,3,7,2,5,6]
[1,4,3,7,2,6,5,8]=>[1,7,4,3,6,2,5,8]
[1,5,3,7,4,8,2,6]=>[1,8,5,7,3,2,4,6]
[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7]
[1,5,4,8,2,6,3,7]=>[1,8,6,5,4,2,3,7]
[1,5,4,8,3,7,2,6]=>[1,7,8,5,4,2,3,6]
[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]
[6,8,2,4,5,7,1,3]=>[7,8,1,2,4,6,5,3]
[3,7,8,4,5,2,6,1]=>[6,5,3,8,4,2,7,1]
[7,8,1,4,5,3,6,2]=>[8,6,5,1,4,3,7,2]
[3,8,7,4,1,6,5,2]=>[4,7,3,5,6,2,8,1]
[4,8,3,6,1,5,7,2]=>[6,7,8,4,1,3,5,2]
[5,8,3,1,6,4,7,2]=>[3,8,7,6,5,2,4,1]
[5,8,1,4,7,6,3,2]=>[8,3,6,1,5,7,4,2]
[7,5,1,8,6,2,4,3]=>[5,7,4,1,6,8,2,3]
[7,4,1,8,2,6,3,5]=>[4,7,8,6,1,3,2,5]
[7,1,8,4,2,6,3,5]=>[7,4,8,6,2,3,1,5]
[1,6,3,8,5,2,4,7]=>[1,5,8,3,6,2,4,7]
[6,1,3,8,5,2,4,7]=>[6,5,1,2,8,3,4,7]
[7,1,8,3,6,2,5,4]=>[7,6,8,5,2,3,1,4]
[7,3,1,8,4,2,6,5]=>[3,7,4,8,6,1,2,5]
[7,2,8,4,1,6,5,3]=>[4,8,7,5,6,2,3,1]
[7,2,8,3,6,5,1,4]=>[5,6,7,2,8,1,3,4]
[7,2,8,3,6,1,5,4]=>[6,7,8,5,1,3,2,4]
[7,1,8,2,3,6,5,4]=>[7,8,2,5,6,3,1,4]
[6,1,2,8,3,5,4,7]=>[6,1,8,5,3,2,4,7]
[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]
[5,1,2,3,8,4,7,6]=>[5,1,2,8,3,7,4,6]
[5,2,3,8,1,4,7,6]=>[8,5,2,1,3,7,4,6]
[6,2,8,1,3,5,4,7]=>[8,6,1,5,3,2,4,7]
[6,2,4,1,8,7,3,5]=>[4,6,7,2,3,1,8,5]
[6,3,1,4,2,8,5,7]=>[3,6,4,2,8,1,5,7]
[3,1,6,4,2,8,5,7]=>[3,4,1,6,8,2,5,7]
[2,6,3,8,7,1,5,4]=>[7,2,6,5,1,3,8,4]
[2,6,3,8,5,1,4,7]=>[5,2,8,3,6,1,4,7]
[2,5,1,8,3,4,7,6]=>[5,2,8,3,1,7,4,6]
[2,5,1,3,8,4,7,6]=>[5,2,1,8,3,7,4,6]
[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]
[1,2,4,8,3,7,6,5]=>[1,2,8,4,6,7,3,5]
[2,4,8,1,3,7,6,5]=>[8,2,1,4,6,7,3,5]
[2,4,8,3,7,1,6,5]=>[7,2,8,4,6,1,3,5]
[2,4,8,3,7,6,1,5]=>[6,2,7,4,3,8,1,5]
[2,5,3,8,1,7,4,6]=>[8,2,5,7,3,4,1,6]
[2,5,4,1,3,8,7,6]=>[4,2,1,5,3,7,8,6]
[3,1,5,4,8,2,7,6]=>[3,8,1,5,4,7,2,6]
[5,3,1,4,8,2,7,6]=>[3,5,8,2,4,7,1,6]
[5,2,3,8,4,7,1,6]=>[7,5,2,8,3,1,4,6]
[4,8,2,3,7,6,1,5]=>[6,7,1,4,2,8,3,5]
[4,8,2,3,7,1,6,5]=>[7,8,2,4,6,1,3,5]
[4,8,1,2,3,7,6,5]=>[8,1,2,4,6,7,3,5]
[1,4,8,2,3,7,6,5]=>[1,8,2,4,6,7,3,5]
[1,4,8,3,7,2,6,5]=>[1,7,8,4,6,2,3,5]
[6,3,8,1,5,2,4,7]=>[8,5,6,2,1,3,4,7]
[5,3,8,1,2,4,7,6]=>[8,1,5,2,3,7,4,6]
[5,1,3,8,2,4,7,6]=>[5,8,1,2,3,7,4,6]
[1,5,3,8,2,4,7,6]=>[1,8,5,2,3,7,4,6]
[1,5,4,8,2,7,6,3]=>[1,8,6,5,4,7,2,3]
[5,1,4,8,2,7,6,3]=>[5,8,6,1,4,7,2,3]
[5,4,8,1,2,7,6,3]=>[8,1,6,5,4,7,2,3]
[6,5,1,2,8,7,4,3]=>[5,1,4,6,7,3,8,2]
[5,3,1,6,4,2,8,7]=>[3,5,4,6,2,1,8,7]
[5,1,6,2,8,7,4,3]=>[5,6,4,7,1,2,8,3]
[4,1,5,8,2,7,6,3]=>[4,8,6,1,5,7,2,3]
[4,1,2,5,8,7,6,3]=>[4,1,6,2,5,7,8,3]
[1,4,2,5,8,7,6,3]=>[1,4,6,2,5,7,8,3]
[1,3,5,2,8,7,4,6]=>[1,5,3,7,2,4,8,6]
[3,5,1,2,8,7,4,6]=>[5,1,3,7,2,4,8,6]
[3,6,2,8,7,5,1,4]=>[5,7,3,2,6,1,8,4]
[4,2,6,1,8,7,3,5]=>[6,4,7,2,3,1,8,5]
[4,3,1,5,8,2,7,6]=>[3,4,8,2,5,7,1,6]
[3,5,2,8,7,1,4,6]=>[7,5,3,1,2,4,8,6]
[3,4,8,7,2,6,1,5]=>[6,7,3,4,1,2,8,5]
[3,4,8,7,1,2,6,5]=>[7,1,3,4,6,2,8,5]
[3,4,8,1,7,2,6,5]=>[8,7,3,4,6,2,1,5]
[1,3,4,8,7,2,6,5]=>[1,7,3,4,6,2,8,5]
[1,3,4,8,2,7,6,5]=>[1,8,3,4,6,7,2,5]
[3,4,8,1,2,7,6,5]=>[8,1,3,4,6,7,2,5]
[3,4,8,2,7,1,6,5]=>[7,8,3,4,6,1,2,5]
[3,4,8,2,7,6,1,5]=>[6,7,3,4,2,8,1,5]
[4,2,5,8,1,7,6,3]=>[8,4,6,2,5,7,1,3]
[4,3,1,2,5,8,7,6]=>[3,1,4,2,5,7,8,6]
[3,1,4,2,5,8,7,6]=>[3,4,1,2,5,7,8,6]
[2,3,5,1,8,7,6,4]=>[5,2,3,6,1,7,8,4]
[7,8,2,1,5,3,6,4]=>[2,8,5,6,1,3,7,4]
[6,4,1,2,7,3,5,8]=>[4,1,6,7,2,3,5,8]
[2,3,7,5,4,1,8,6]=>[4,2,3,5,7,8,1,6]
[6,3,1,5,4,2,7,8]=>[3,6,4,5,2,1,7,8]
[7,8,1,5,4,2,6,3]=>[8,4,5,6,1,3,7,2]
[7,8,3,5,4,1,6,2]=>[4,5,6,8,1,2,7,3]
[7,8,2,5,4,1,3,6]=>[4,5,2,8,1,3,7,6]
[7,8,2,5,4,6,1,3]=>[6,8,1,5,2,4,7,3]
[6,2,1,5,4,7,3,8]=>[2,6,7,5,1,4,3,8]
[5,3,6,1,4,7,8,2]=>[6,8,5,1,3,4,7,2]
[5,3,6,2,4,7,1,8]=>[7,6,5,2,3,4,1,8]
[6,4,2,1,7,3,8,5]=>[2,4,6,7,8,3,1,5]
[4,3,7,5,8,6,1,2]=>[6,1,4,3,8,7,2,5]
[4,2,7,1,8,3,6,5]=>[7,4,8,2,6,3,1,5]
[3,2,6,7,4,8,1,5]=>[8,3,2,7,1,6,4,5]
[3,1,6,7,4,8,5,2]=>[3,5,1,8,7,6,2,4]
[1,7,6,5,3,8,4,2]=>[1,4,8,5,6,7,2,3]
[2,7,6,5,3,8,1,4]=>[8,2,5,1,6,7,3,4]
[1,7,6,5,2,4,8,3]=>[1,5,6,2,7,8,4,3]
[2,7,6,5,3,1,4,8]=>[3,2,5,1,6,7,4,8]
[2,7,1,4,8,3,5,6]=>[7,2,8,1,3,5,4,6]
[3,7,6,4,8,5,1,2]=>[5,1,3,8,6,7,2,4]
[5,7,6,3,8,4,1,2]=>[4,1,8,6,5,7,2,3]
[5,1,6,2,4,8,3,7]=>[5,6,8,2,1,4,3,7]
[4,7,6,5,2,1,3,8]=>[2,5,1,4,6,7,3,8]
[4,7,6,5,2,8,1,3]=>[8,5,1,4,6,7,2,3]
[4,7,6,5,1,8,3,2]=>[5,3,6,4,7,8,1,2]
[1,7,6,5,2,8,3,4]=>[1,5,6,3,7,8,2,4]
[1,7,6,5,3,2,8,4]=>[1,3,5,6,7,8,2,4]
[4,7,6,5,1,2,8,3]=>[5,1,6,4,7,8,2,3]
[4,7,6,5,3,1,8,2]=>[3,5,6,4,7,8,2,1]
[6,1,3,5,4,8,7,2]=>[6,7,1,5,3,4,8,2]
[5,2,6,3,4,1,7,8]=>[4,5,6,3,2,1,7,8]
[5,1,6,2,4,7,8,3]=>[5,6,8,2,1,4,7,3]
[1,2,6,3,4,8,7,5]=>[1,2,6,3,7,4,8,5]
[1,7,2,4,8,3,6,5]=>[1,7,8,2,6,3,4,5]
[6,1,4,2,8,3,5,7]=>[6,4,8,1,3,2,5,7]
[4,1,8,2,6,3,5,7]=>[4,8,6,1,3,2,5,7]
[4,7,2,1,5,3,6,8]=>[2,7,5,4,1,3,6,8]
[4,7,1,6,2,3,8,5]=>[7,6,2,4,8,1,3,5]
[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]
[1,2,6,7,4,8,5,3]=>[1,2,5,8,7,6,3,4]
[3,1,6,7,4,2,8,5]=>[3,4,1,7,8,6,2,5]
[3,2,8,5,4,6,1,7]=>[6,3,2,5,8,4,1,7]
[4,7,6,3,5,8,1,2]=>[8,1,6,4,3,7,5,2]
[4,7,1,2,5,3,8,6]=>[7,1,5,4,2,8,3,6]
[3,7,6,5,2,4,1,8]=>[4,5,3,2,6,7,1,8]
[3,7,6,5,1,4,8,2]=>[5,6,3,1,7,8,4,2]
[3,7,6,5,2,1,8,4]=>[2,5,3,6,7,8,1,4]
[1,7,6,5,8,2,4,3]=>[1,8,4,2,6,7,5,3]
[3,7,6,5,8,1,4,2]=>[8,4,3,1,6,7,5,2]
[3,7,6,5,1,2,4,8]=>[5,1,3,2,6,7,4,8]
[3,1,6,8,4,2,5,7]=>[3,4,1,8,2,6,5,7]
[4,7,6,8,3,5,1,2]=>[5,1,8,4,3,7,6,2]
[2,7,6,5,1,4,3,8]=>[5,2,4,1,6,7,3,8]
[2,7,6,5,8,1,3,4]=>[8,2,1,3,6,7,5,4]
[2,7,6,5,8,4,1,3]=>[4,2,1,8,6,7,5,3]
[6,3,2,1,7,4,8,5]=>[2,3,6,7,8,1,4,5]
[4,2,1,7,3,5,8,6]=>[2,4,7,1,3,8,5,6]
[7,3,1,5,4,2,8,6]=>[3,7,4,5,2,8,1,6]
[8,4,1,5,2,7,6,3]=>[4,8,5,6,2,7,3,1]
[8,2,5,1,3,7,6,4]=>[5,8,1,6,2,7,3,4]
[4,3,7,2,1,5,8,6]=>[2,7,4,3,1,8,5,6]
[6,3,7,4,2,1,8,5]=>[2,4,7,6,8,1,3,5]
[4,7,2,5,3,1,8,6]=>[3,5,7,4,1,8,2,6]
[2,7,5,4,1,3,8,6]=>[4,2,1,5,7,8,3,6]
[7,5,4,3,2,1,8,6]=>[2,3,4,5,7,8,1,6]
[8,5,3,2,1,7,6,4]=>[2,3,5,8,6,7,4,1]
[6,5,2,1,8,4,3,7]=>[2,5,4,6,8,3,1,7]
[4,6,3,2,8,1,5,7]=>[8,3,6,4,1,2,5,7]
[5,7,4,3,2,8,1,6]=>[8,3,4,7,5,1,2,6]
[1,7,6,2,4,8,3,5]=>[1,6,7,3,2,8,4,5]
[2,7,3,6,4,8,1,5]=>[8,2,7,6,1,3,4,5]
[6,2,7,5,3,8,1,4]=>[8,6,5,1,7,2,3,4]
[7,1,8,5,3,6,4,2]=>[7,4,6,5,8,2,1,3]
[5,8,1,6,2,7,4,3]=>[8,6,4,7,5,1,2,3]
[1,8,6,2,3,7,5,4]=>[1,6,2,5,8,7,4,3]
[1,8,6,3,2,7,5,4]=>[1,3,6,5,8,7,4,2]
[5,8,3,2,7,1,6,4]=>[7,3,8,6,5,1,2,4]
[8,7,3,1,6,5,4,2]=>[3,7,4,5,6,2,8,1]
[8,7,2,6,1,5,4,3]=>[6,7,4,5,1,2,8,3]
[1,8,5,7,4,3,6,2]=>[1,6,4,7,8,3,5,2]
[1,8,5,7,2,4,6,3]=>[1,7,6,2,8,4,5,3]
[3,8,6,1,7,2,5,4]=>[6,8,3,5,1,7,2,4]
[5,8,4,6,7,1,3,2]=>[7,3,1,8,5,4,6,2]
[7,2,8,5,6,1,4,3]=>[6,7,4,1,8,5,2,3]
[6,3,7,5,8,2,1,4]=>[2,8,6,1,7,3,5,4]
[3,7,2,6,8,4,1,5]=>[4,8,3,7,2,1,6,5]
[3,6,5,8,1,4,2,7]=>[8,4,3,1,6,5,2,7]
[2,6,5,8,4,1,3,7]=>[4,2,1,8,6,5,3,7]
[6,5,4,8,3,2,1,7]=>[2,3,8,5,6,4,1,7]
[8,4,3,7,2,1,6,5]=>[2,7,4,8,6,1,3,5]
[8,2,4,7,1,3,6,5]=>[7,8,1,2,6,3,4,5]
[6,2,5,8,1,4,3,7]=>[8,6,4,1,2,5,3,7]
[4,3,6,8,2,1,5,7]=>[2,8,4,3,1,6,5,7]
[6,3,5,1,8,4,2,7]=>[5,4,8,6,2,1,3,7]
[8,4,1,5,7,3,6,2]=>[4,8,6,7,2,1,5,3]
[6,4,2,5,8,3,1,7]=>[3,8,4,6,1,5,2,7]
[5,4,1,6,8,2,3,7]=>[4,5,1,8,2,6,3,7]
[6,5,2,1,7,8,3,4]=>[2,5,6,1,8,3,7,4]
[6,3,7,4,8,5,2,1]=>[2,5,8,6,7,4,1,3]
[4,7,2,5,8,6,3,1]=>[3,6,8,4,2,7,5,1]
[6,3,1,8,4,7,5,2]=>[3,6,5,7,8,2,1,4]
[6,4,2,8,7,3,5,1]=>[5,4,6,7,2,3,8,1]
[6,5,3,8,7,4,1,2]=>[4,1,7,5,6,2,8,3]
[8,5,3,7,6,4,2,1]=>[2,4,6,5,7,8,3,1]
[5,4,8,1,7,6,2,3]=>[8,6,2,5,4,7,1,3]
[5,2,8,1,7,3,6,4]=>[8,5,7,6,2,3,1,4]
[6,4,8,2,1,7,5,3]=>[2,8,5,7,6,3,1,4]
[3,6,8,1,4,7,5,2]=>[8,5,3,1,7,6,4,2]
[5,7,3,8,1,6,4,2]=>[8,4,6,7,5,1,2,3]
[6,4,7,8,1,5,3,2]=>[8,3,5,6,1,4,7,2]
[6,3,7,8,5,2,4,1]=>[4,5,8,3,6,2,7,1]
[2,5,8,7,1,3,6,4]=>[7,2,1,6,5,3,8,4]
[5,3,8,7,2,1,6,4]=>[2,7,5,6,3,1,8,4]
[8,3,7,6,1,5,4,2]=>[6,4,5,7,2,8,1,3]
[8,2,7,6,5,1,4,3]=>[5,6,4,1,7,8,2,3]
[4,3,8,7,6,2,1,5]=>[2,6,4,3,1,7,8,5]
[2,4,8,7,6,1,3,5]=>[6,2,1,4,3,7,8,5]
[3,5,8,7,2,6,1,4]=>[6,7,3,1,5,2,8,4]
[4,7,3,8,6,5,1,2]=>[5,1,6,4,8,7,3,2]
[7,5,8,6,4,3,2,1]=>[2,3,4,6,8,7,1,5]
[5,8,7,3,6,4,2,1]=>[2,4,6,7,5,1,8,3]
[4,8,7,6,2,5,3,1]=>[3,5,6,4,1,7,8,2]
[3,8,7,6,5,1,4,2]=>[5,4,3,1,6,7,8,2]
[2,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,3]
[3,6,5,1,2,4,8,7]=>[5,1,3,2,6,4,8,7]
[3,7,5,8,2,4,1,6]=>[4,8,3,2,7,1,5,6]
[3,8,5,7,2,4,1,6]=>[4,7,3,2,8,1,5,6]
[5,1,7,8,4,3,2,6]=>[5,3,4,8,1,2,7,6]
[5,1,2,6,4,3,8,7]=>[5,1,4,6,2,3,8,7]
[6,1,2,5,4,3,8,7]=>[6,1,4,5,2,3,8,7]
[5,1,2,4,6,3,8,7]=>[5,1,6,2,4,3,8,7]
[4,1,2,6,5,3,8,7]=>[4,1,5,2,6,3,8,7]
[4,1,5,7,8,3,2,6]=>[4,3,8,1,5,2,7,6]
[4,1,5,8,7,3,2,6]=>[4,3,7,1,5,2,8,6]
[4,7,1,8,3,6,2,5]=>[7,6,8,4,2,3,1,5]
[4,1,7,8,5,2,3,6]=>[4,5,2,1,8,3,7,6]
[5,1,7,4,8,2,3,6]=>[5,8,2,7,1,3,4,6]
[7,5,3,8,1,4,2,6]=>[8,4,5,1,7,2,3,6]
[2,1,5,8,7,3,4,6]=>[2,1,7,3,5,4,8,6]
[5,1,8,4,7,2,3,6]=>[5,7,2,8,1,3,4,6]
[4,1,8,7,5,2,3,6]=>[4,5,2,1,7,3,8,6]
[4,7,1,6,3,2,8,5]=>[7,3,6,4,8,1,2,5]
[6,1,2,3,7,5,8,4]=>[6,1,2,8,7,3,5,4]
[7,1,2,3,8,6,5,4]=>[7,1,2,5,6,8,3,4]
[7,1,2,3,5,8,6,4]=>[7,1,2,6,3,8,5,4]
[6,8,1,4,3,7,2,5]=>[8,7,4,1,2,6,3,5]
[8,7,3,2,4,1,6,5]=>[4,3,7,2,6,1,8,5]
[2,1,7,3,4,8,6,5]=>[2,1,7,3,6,8,4,5]
[7,8,3,2,4,1,6,5]=>[4,3,8,2,6,1,7,5]
[6,7,1,4,3,8,2,5]=>[7,8,4,1,2,6,3,5]
[8,1,2,3,5,7,6,4]=>[8,1,2,6,3,7,5,4]
[8,1,2,3,6,7,5,4]=>[8,1,2,5,7,3,6,4]
[7,1,2,3,6,8,5,4]=>[7,1,2,5,8,3,6,4]
[7,1,2,3,8,5,6,4]=>[7,1,2,6,8,5,3,4]
[8,1,2,3,7,5,6,4]=>[8,1,2,6,7,5,3,4]
[8,1,2,3,6,5,7,4]=>[8,1,2,7,6,3,5,4]
[7,1,8,5,4,3,2,6]=>[7,3,4,5,8,2,1,6]
[7,8,2,6,3,4,1,5]=>[4,8,6,3,1,2,7,5]
[6,8,2,7,3,4,1,5]=>[4,8,7,3,1,6,2,5]
[6,7,2,8,3,4,1,5]=>[4,7,8,3,1,6,2,5]
[3,8,7,1,4,2,6,5]=>[7,4,3,1,6,2,8,5]
[3,7,8,1,4,2,6,5]=>[8,4,3,1,6,2,7,5]
[3,6,8,1,4,2,7,5]=>[8,4,3,1,7,6,2,5]
[3,5,7,8,2,4,1,6]=>[4,8,3,2,5,1,7,6]
[3,6,7,1,4,2,8,5]=>[7,4,3,1,8,6,2,5]
[7,6,2,8,3,1,4,5]=>[3,8,6,2,4,7,1,5]
[8,6,2,7,3,1,4,5]=>[3,7,6,2,4,8,1,5]
[8,1,7,5,4,3,2,6]=>[8,3,4,5,7,2,1,6]
[8,1,7,4,5,3,2,6]=>[8,3,5,7,4,2,1,6]
[5,8,3,7,1,4,2,6]=>[7,4,8,1,5,2,3,6]
[2,1,7,3,4,6,8,5]=>[2,1,7,3,8,4,6,5]
[6,7,3,2,4,1,8,5]=>[4,3,7,2,8,6,1,5]
[8,7,2,4,3,6,1,5]=>[6,7,4,2,1,3,8,5]
[7,1,2,3,5,6,8,4]=>[7,1,2,8,3,5,6,4]
[6,1,2,3,8,7,4,5]=>[6,1,2,7,4,3,8,5]
[5,1,2,3,7,8,6,4]=>[5,1,2,6,3,8,7,4]
[5,1,2,3,8,7,6,4]=>[5,1,2,6,3,7,8,4]
[5,1,2,3,8,6,7,4]=>[5,1,2,7,3,8,6,4]
[6,1,2,3,5,8,7,4]=>[6,1,2,7,3,5,8,4]
[8,6,2,4,3,1,7,5]=>[3,4,6,1,8,7,5,2]
[7,6,3,2,4,8,1,5]=>[8,3,6,2,1,7,4,5]
[2,1,6,3,4,8,7,5]=>[2,1,6,3,7,4,8,5]
[8,6,3,2,4,7,1,5]=>[7,3,6,2,1,8,4,5]
[7,6,2,4,3,1,8,5]=>[3,4,6,1,7,8,5,2]
[6,1,2,3,5,7,8,4]=>[6,1,2,8,3,5,7,4]
[5,1,2,3,6,8,7,4]=>[5,1,2,7,3,6,8,4]
[7,8,1,2,6,3,5,4]=>[8,1,6,5,3,2,7,4]
[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]
[1,2,8,5,4,7,3,6]=>[1,2,7,5,8,3,4,6]
[1,3,8,5,4,2,7,6]=>[1,4,3,5,8,7,2,6]
[2,3,6,8,4,7,1,5]=>[7,2,3,8,1,6,4,5]
[1,3,6,8,4,7,5,2]=>[1,5,3,7,8,6,2,4]
[2,4,8,1,7,3,6,5]=>[8,2,7,4,6,3,1,5]
[3,4,8,5,7,6,1,2]=>[6,1,3,4,7,8,2,5]
[1,2,6,8,4,5,7,3]=>[1,2,7,8,4,6,5,3]
[7,5,1,2,4,3,6,8]=>[5,1,4,2,7,3,6,8]
[7,4,6,1,5,2,3,8]=>[6,5,2,7,1,4,3,8]
[7,1,4,2,6,3,5,8]=>[7,4,6,1,3,2,5,8]
[6,8,1,4,7,2,3,5]=>[8,7,2,1,3,6,4,5]
[1,6,4,2,8,3,5,7]=>[1,4,6,8,2,3,5,7]
[1,6,3,8,5,4,2,7]=>[1,4,5,8,6,3,2,7]
[6,8,1,7,3,5,4,2]=>[8,4,5,7,2,6,1,3]
[7,1,3,6,5,4,2,8]=>[7,4,1,5,6,3,2,8]
[7,3,1,6,5,4,2,8]=>[3,7,4,5,6,2,1,8]
[7,2,1,4,6,3,5,8]=>[2,7,6,1,3,4,5,8]
[7,2,3,6,5,1,4,8]=>[5,6,1,2,7,3,4,8]
[7,1,2,3,6,5,4,8]=>[7,1,2,5,6,3,4,8]
[6,8,1,2,7,3,5,4]=>[8,1,7,5,3,6,2,4]
[1,6,2,3,8,5,4,7]=>[1,6,2,5,8,3,4,7]
[1,5,8,2,7,6,3,4]=>[1,8,6,3,5,7,2,4]
[5,1,8,2,7,6,3,4]=>[5,8,6,3,1,7,2,4]
[5,8,2,7,6,3,4,1]=>[4,8,6,3,5,7,2,1]
[6,2,8,1,7,3,5,4]=>[8,6,7,5,3,2,1,4]
[6,8,2,1,7,4,3,5]=>[2,8,4,7,3,6,1,5]
[3,6,4,1,2,8,5,7]=>[4,1,3,6,8,2,5,7]
[2,1,6,3,8,5,4,7]=>[2,1,6,5,8,3,4,7]
[2,5,1,8,7,6,3,4]=>[5,2,6,3,1,7,8,4]
[2,5,3,8,7,4,6,1]=>[6,2,5,7,3,4,8,1]
[1,2,5,3,8,7,4,6]=>[1,2,5,7,3,4,8,6]
[2,4,8,7,6,5,1,3]=>[5,2,1,4,6,7,8,3]
[2,5,3,8,7,1,6,4]=>[7,2,5,6,3,1,8,4]
[2,5,8,4,1,7,6,3]=>[4,2,8,6,5,7,3,1]
[3,5,8,7,1,4,2,6]=>[7,4,3,1,5,2,8,6]
[5,3,8,4,1,7,6,2]=>[4,8,6,5,1,7,2,3]
[4,2,8,7,6,3,5,1]=>[5,4,6,2,3,7,8,1]
[4,2,8,7,6,5,3,1]=>[3,5,4,1,6,7,8,2]
[4,1,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,2]
[4,3,8,7,6,5,1,2]=>[5,1,4,3,6,7,8,2]
[6,3,1,8,7,2,5,4]=>[3,6,7,5,1,2,8,4]
[5,8,3,7,6,1,4,2]=>[6,4,7,3,5,8,1,2]
[5,1,3,8,7,6,2,4]=>[5,6,1,2,3,7,8,4]
[1,5,3,8,7,6,2,4]=>[1,6,5,2,3,7,8,4]
[1,5,8,4,7,2,6,3]=>[1,7,6,8,5,2,4,3]
[5,1,8,4,7,2,6,3]=>[5,7,6,8,1,2,4,3]
[5,8,7,4,6,1,2,3]=>[6,1,2,7,5,4,8,3]
[6,8,5,1,2,4,7,3]=>[5,1,8,3,7,6,4,2]
[5,6,3,1,2,4,8,7]=>[3,1,6,2,5,4,8,7]
[5,6,2,4,3,1,8,7]=>[3,4,6,1,5,2,8,7]
[5,6,1,2,4,3,8,7]=>[6,1,4,2,5,3,8,7]
[4,5,8,1,7,2,3,6]=>[8,7,2,4,5,3,1,6]
[4,5,8,1,7,2,6,3]=>[8,7,6,4,5,2,1,3]
[1,3,2,5,8,7,4,6]=>[1,3,2,7,5,4,8,6]
[3,5,1,8,7,4,6,2]=>[5,6,3,7,1,4,8,2]
[3,5,1,8,7,2,6,4]=>[5,7,3,6,1,2,8,4]
[4,3,6,1,2,8,5,7]=>[6,1,4,3,8,2,5,7]
[4,5,8,3,1,7,2,6]=>[3,8,7,4,5,1,2,6]
[4,5,2,8,7,1,3,6]=>[7,5,1,4,2,3,8,6]
[3,2,5,8,7,1,6,4]=>[7,3,2,6,5,1,8,4]
[3,4,8,7,6,2,1,5]=>[2,6,3,4,1,7,8,5]
[3,1,4,8,7,6,2,5]=>[3,6,1,4,2,7,8,5]
[3,4,8,7,6,5,1,2]=>[5,1,3,4,6,7,8,2]
[1,3,4,8,7,6,2,5]=>[1,6,3,4,2,7,8,5]
[3,4,8,7,6,2,5,1]=>[5,6,3,4,2,7,8,1]
[3,2,5,8,7,4,6,1]=>[6,3,2,7,5,4,8,1]
[4,5,8,3,1,7,6,2]=>[3,8,6,4,5,7,2,1]
[2,1,3,5,8,7,4,6]=>[2,1,3,7,5,4,8,6]
[1,2,7,5,8,6,4,3]=>[1,2,4,6,8,7,3,5]
[7,1,4,8,2,6,5,3]=>[7,8,5,1,6,2,4,3]
[6,8,1,3,7,5,2,4]=>[8,5,1,2,7,6,3,4]
[3,7,8,1,2,6,5,4]=>[8,1,3,5,6,2,7,4]
[1,3,7,8,2,6,5,4]=>[1,8,3,5,6,2,7,4]
[2,3,7,8,1,6,5,4]=>[8,2,3,5,6,1,7,4]
[2,7,8,1,3,6,5,4]=>[8,2,1,5,6,3,7,4]
[8,1,2,6,7,3,5,4]=>[8,1,7,5,3,2,6,4]
[8,1,2,6,7,5,3,4]=>[8,1,5,3,7,2,6,4]
[8,2,5,7,1,3,6,4]=>[7,8,1,6,2,3,5,4]
[2,8,1,6,7,3,5,4]=>[8,2,7,5,3,1,6,4]
[2,6,8,3,7,1,5,4]=>[7,2,8,5,1,6,3,4]
[2,8,6,4,7,1,5,3]=>[7,2,5,6,1,8,4,3]
[6,8,3,4,1,7,5,2]=>[4,5,7,2,8,6,1,3]
[6,8,3,7,4,1,5,2]=>[4,7,5,8,2,6,1,3]
[2,6,8,3,7,5,1,4]=>[5,2,7,3,8,6,1,4]
[2,8,1,6,7,5,3,4]=>[8,2,5,3,7,1,6,4]
[8,2,5,7,1,6,3,4]=>[7,8,6,3,2,1,5,4]
[8,4,7,2,3,6,1,5]=>[6,7,2,8,1,3,4,5]
[8,5,7,4,2,6,1,3]=>[6,4,1,7,8,2,5,3]
[8,3,5,7,4,1,6,2]=>[4,7,6,8,1,2,5,3]
[8,5,2,4,7,1,6,3]=>[7,5,8,3,6,1,4,2]
[8,2,3,5,7,1,6,4]=>[7,8,2,6,3,1,5,4]
[8,2,4,7,3,6,1,5]=>[6,8,7,2,1,3,4,5]
[8,2,7,1,4,6,3,5]=>[7,8,6,1,3,4,2,5]
[8,7,1,2,4,6,3,5]=>[7,1,6,2,3,4,8,5]
[8,7,1,4,6,2,3,5]=>[7,6,2,1,3,4,8,5]
[8,4,7,1,3,6,2,5]=>[7,6,1,8,2,3,4,5]
[1,6,8,3,7,2,5,4]=>[1,7,8,5,2,6,3,4]
[8,3,5,7,1,2,6,4]=>[7,1,8,6,3,2,5,4]
[5,8,7,1,3,6,2,4]=>[7,6,1,2,5,3,8,4]
[8,5,4,7,1,6,2,3]=>[7,6,2,5,8,1,4,3]
[8,5,4,7,1,2,6,3]=>[7,1,6,5,8,2,4,3]
[8,5,1,4,7,2,6,3]=>[5,8,7,2,6,3,4,1]
[1,4,6,8,2,7,5,3]=>[1,8,5,4,7,6,2,3]
[1,6,5,8,2,7,4,3]=>[1,8,4,7,6,5,2,3]
[8,5,6,3,1,7,4,2]=>[3,6,4,7,8,5,2,1]
[5,6,2,8,1,7,4,3]=>[8,6,4,7,5,2,1,3]
[1,8,4,5,7,2,6,3]=>[1,7,6,8,4,2,5,3]
[5,8,7,3,6,1,2,4]=>[6,1,7,2,5,3,8,4]
[8,3,5,7,1,6,2,4]=>[7,6,8,2,3,1,5,4]
[1,6,8,3,7,5,2,4]=>[1,5,7,3,8,6,2,4]
[6,3,8,2,7,5,1,4]=>[5,7,8,2,6,1,3,4]
[6,8,4,2,7,1,5,3]=>[7,4,8,5,1,6,3,2]
[8,6,4,7,3,1,5,2]=>[3,7,5,6,2,8,4,1]
[8,4,5,7,3,1,6,2]=>[3,7,6,8,4,2,5,1]
[8,4,2,5,7,1,6,3]=>[7,4,8,6,3,1,5,2]
[8,3,4,7,2,6,1,5]=>[6,7,8,3,1,2,4,5]
[8,7,1,3,4,6,2,5]=>[7,6,1,3,2,4,8,5]
[8,3,7,2,4,6,1,5]=>[6,7,8,2,1,4,3,5]
[2,8,4,5,7,1,6,3]=>[7,2,6,8,4,1,5,3]
[8,7,3,4,5,1,6,2]=>[5,6,7,3,4,1,8,2]
[8,7,4,5,2,6,1,3]=>[6,5,1,7,4,2,8,3]
[5,8,7,2,3,6,1,4]=>[6,7,2,1,5,3,8,4]
[8,7,2,3,4,6,1,5]=>[6,7,2,3,1,4,8,5]
[8,7,2,3,6,1,4,5]=>[6,7,2,1,4,3,8,5]
[1,3,2,8,5,4,7,6]=>[1,3,2,5,8,7,4,6]
[4,2,8,5,3,7,1,6]=>[7,4,5,2,8,1,3,6]
[5,2,1,8,4,3,7,6]=>[2,5,4,8,1,7,3,6]
[6,2,8,4,3,7,5,1]=>[5,7,4,6,8,3,1,2]
[7,2,8,4,3,1,6,5]=>[3,4,8,7,6,1,2,5]
[7,3,4,8,2,1,6,5]=>[2,8,7,3,6,1,4,5]
[6,3,4,8,2,7,5,1]=>[5,7,8,1,6,4,3,2]
[5,3,4,1,8,2,7,6]=>[4,8,5,3,1,7,2,6]
[8,1,4,5,2,3,7,6]=>[8,5,2,1,4,7,3,6]
[8,1,5,4,3,2,7,6]=>[8,3,4,5,1,7,2,6]
[3,5,4,2,8,1,7,6]=>[8,4,3,5,2,7,1,6]
[4,5,3,2,8,7,1,6]=>[7,3,5,4,2,1,8,6]
[6,4,3,2,8,7,5,1]=>[5,3,4,7,6,1,8,2]
[6,5,3,2,1,7,8,4]=>[2,3,5,6,8,4,7,1]
[5,6,3,2,7,8,4,1]=>[4,3,8,6,5,1,7,2]
[4,1,6,3,2,7,8,5]=>[4,3,6,1,8,2,7,5]
[3,6,4,2,7,8,1,5]=>[8,4,3,6,1,2,7,5]
[8,1,6,4,3,7,2,5]=>[8,7,4,6,2,1,3,5]
[8,1,7,4,3,6,5,2]=>[8,5,4,6,7,2,1,3]
[2,7,4,1,3,6,5,8]=>[4,2,1,7,6,3,5,8]
[3,7,4,2,6,1,5,8]=>[6,4,3,7,1,2,5,8]
[4,1,7,3,2,6,5,8]=>[4,3,7,1,6,2,5,8]
[5,7,3,2,6,4,8,1]=>[8,3,7,6,5,2,4,1]
[6,7,3,2,5,4,1,8]=>[4,3,5,7,1,6,2,8]
[7,6,3,2,1,5,4,8]=>[2,3,6,5,1,7,4,8]
[4,7,5,6,2,3,8,1]=>[8,6,2,4,7,5,3,1]
[3,1,7,5,6,2,4,8]=>[3,6,1,2,7,5,4,8]
[2,7,5,6,1,3,4,8]=>[6,2,1,3,7,5,4,8]
[2,6,5,7,1,3,8,4]=>[7,2,1,8,6,5,3,4]
[4,6,5,7,2,8,1,3]=>[8,7,1,4,6,5,2,3]
[5,6,4,7,2,8,3,1]=>[3,8,7,6,5,4,1,2]
[6,5,4,1,7,2,8,3]=>[4,5,6,7,8,3,1,2]
[7,5,4,6,2,1,8,3]=>[2,6,8,5,7,4,1,3]
[6,4,5,7,1,8,2,3]=>[7,8,2,6,4,5,1,3]
[5,4,6,1,7,8,2,3]=>[6,8,2,5,4,1,7,3]
[8,1,5,6,7,2,3,4]=>[8,7,2,3,1,5,6,4]
[2,1,4,6,8,7,3,5]=>[2,1,7,4,3,6,8,5]
[3,4,6,8,7,1,2,5]=>[7,1,3,4,2,6,8,5]
[4,3,1,6,8,7,2,5]=>[3,4,7,2,1,6,8,5]
[5,3,6,8,7,2,4,1]=>[4,7,5,2,3,6,8,1]
[6,3,5,1,8,7,2,4]=>[5,7,6,2,3,1,8,4]
[7,3,5,8,6,2,1,4]=>[2,6,8,3,1,7,5,4]
[7,2,8,5,6,3,1,4]=>[3,6,7,2,8,5,1,4]
[6,2,8,5,1,7,3,4]=>[5,8,6,1,7,3,2,4]
[4,2,1,8,6,7,3,5]=>[2,4,7,1,3,8,6,5]
[1,3,2,8,6,7,4,5]=>[1,3,2,7,4,8,6,5]
[2,3,8,6,7,1,4,5]=>[7,2,3,1,4,8,6,5]
[8,1,3,2,6,7,4,5]=>[8,3,1,7,4,2,6,5]
[2,3,8,7,1,6,5,4]=>[7,2,3,5,6,1,8,4]
[4,2,8,7,6,1,5,3]=>[6,4,5,2,1,7,8,3]
[5,2,8,7,6,4,1,3]=>[4,6,2,5,1,7,8,3]
[7,2,1,8,6,5,4,3]=>[2,7,4,5,6,8,1,3]
[7,3,6,1,8,5,4,2]=>[6,4,5,8,7,3,1,2]
[6,3,7,8,5,4,2,1]=>[2,4,5,8,6,3,7,1]
[5,3,7,8,6,4,1,2]=>[4,1,6,5,2,8,7,3]
[4,3,1,7,8,6,5,2]=>[3,4,5,2,6,8,7,1]
[3,4,7,8,6,1,5,2]=>[6,5,3,4,1,8,7,2]
[8,1,5,7,6,2,4,3]=>[8,6,4,2,1,7,5,3]
[3,5,7,6,8,1,4,2]=>[8,4,3,1,5,7,6,2]
[4,5,7,6,8,3,1,2]=>[3,1,8,4,5,7,6,2]
[5,4,1,7,6,8,3,2]=>[4,3,5,8,2,7,6,1]
[6,4,7,5,8,3,2,1]=>[2,3,8,6,7,4,5,1]
[7,4,6,5,1,8,3,2]=>[5,3,6,8,7,1,2,4]
[7,5,6,4,3,1,8,2]=>[3,4,6,8,7,5,1,2]
[6,5,1,7,4,3,8,2]=>[5,6,4,8,7,2,1,3]
[4,6,7,5,3,8,1,2]=>[8,1,5,4,7,6,3,2]
[3,6,7,5,1,4,8,2]=>[5,7,3,2,8,6,4,1]
[8,1,6,7,5,4,2,3]=>[8,4,2,5,7,1,6,3]
[8,1,7,6,5,4,3,2]=>[8,3,4,5,6,7,1,2]
[2,7,6,1,5,4,3,8]=>[6,2,4,5,1,7,3,8]
[3,7,6,5,1,4,2,8]=>[5,4,3,1,6,7,2,8]
[4,7,6,5,3,1,2,8]=>[3,1,5,4,6,7,2,8]
[8,6,4,3,1,5,7,2]=>[3,4,6,8,2,7,5,1]
[8,6,4,1,5,2,7,3]=>[4,6,5,8,1,7,3,2]
[8,6,5,1,3,2,7,4]=>[5,3,1,6,8,7,2,4]
[8,6,3,1,7,2,4,5]=>[3,6,8,2,4,7,1,5]
[8,7,3,1,5,2,4,6]=>[3,7,5,1,2,4,8,6]
[5,3,1,7,2,4,6,8]=>[3,5,7,1,2,4,6,8]
[8,7,1,2,4,5,3,6]=>[7,1,5,2,4,3,8,6]
[8,6,1,2,4,7,3,5]=>[6,1,8,3,2,7,4,5]
[8,5,1,2,6,7,3,4]=>[5,1,8,2,7,3,6,4]
[8,5,1,6,4,2,7,3]=>[5,4,8,6,7,3,2,1]
[8,5,1,3,6,4,7,2]=>[5,8,2,7,6,3,1,4]
[8,6,1,5,3,4,7,2]=>[6,8,5,3,2,7,4,1]
[8,6,1,5,2,4,7,3]=>[6,5,8,2,3,7,4,1]
[8,6,1,2,5,7,3,4]=>[6,1,8,2,3,7,5,4]
[8,6,1,2,7,4,3,5]=>[6,1,4,8,2,7,3,5]
[8,7,1,2,5,4,3,6]=>[7,1,4,5,2,3,8,6]
[5,1,4,2,3,8,6,7]=>[5,4,2,1,3,8,6,7]
[5,1,4,2,7,3,6,8]=>[5,4,7,1,2,3,6,8]
[7,1,5,8,2,6,3,4]=>[7,8,6,3,1,2,5,4]
[5,7,8,1,2,4,6,3]=>[8,1,6,2,5,4,7,3]
[5,7,8,1,3,4,6,2]=>[8,6,1,3,5,4,7,2]
[5,8,1,7,3,4,6,2]=>[8,6,7,3,5,4,1,2]
[8,1,5,7,2,4,6,3]=>[8,7,6,2,1,4,5,3]
[8,4,1,2,7,6,3,5]=>[4,1,8,6,2,7,3,5]
[1,4,2,3,8,7,5,6]=>[1,4,2,3,7,5,8,6]
[1,4,2,7,6,3,5,8]=>[1,4,6,2,3,7,5,8]
[6,1,2,8,7,5,3,4]=>[6,1,5,3,7,2,8,4]
[6,1,2,4,8,7,5,3]=>[6,1,5,2,7,4,8,3]
[3,1,8,4,6,7,5,2]=>[3,5,1,7,8,2,6,4]
[3,1,7,6,4,8,5,2]=>[3,5,1,8,6,7,2,4]
[7,1,2,4,6,8,5,3]=>[7,1,5,2,8,4,6,3]
[7,1,2,6,8,5,3,4]=>[7,1,5,3,8,2,6,4]
[6,1,2,7,8,5,3,4]=>[6,1,5,3,8,2,7,4]
[6,1,2,7,4,8,5,3]=>[6,1,5,8,7,2,3,4]
[3,1,6,4,7,8,5,2]=>[3,5,1,8,6,2,7,4]
[5,7,1,3,8,4,6,2]=>[7,6,1,8,5,4,3,2]
[5,7,1,8,4,2,6,3]=>[7,4,8,6,5,3,1,2]
[7,1,5,3,2,8,6,4]=>[7,3,5,6,1,8,2,4]
[7,1,4,5,2,8,6,3]=>[7,5,6,1,4,8,2,3]
[4,7,3,1,5,8,6,2]=>[3,7,6,4,2,8,5,1]
[4,8,7,3,1,5,6,2]=>[3,7,6,4,2,5,8,1]
[8,1,7,4,5,2,6,3]=>[8,5,6,7,4,2,1,3]
[8,1,7,5,3,2,6,4]=>[8,3,5,7,6,4,1,2]
[8,3,7,1,2,6,4,5]=>[7,1,8,6,4,2,3,5]
[3,1,2,8,4,7,5,6]=>[3,1,2,8,7,5,4,6]
[3,1,2,8,6,4,5,7]=>[3,1,2,6,4,8,5,7]
[3,1,7,2,6,4,5,8]=>[3,7,1,6,4,2,5,8]
[1,4,2,3,8,6,5,7]=>[1,4,2,3,6,8,5,7]
[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]
[5,8,1,7,2,4,6,3]=>[8,7,6,2,5,4,1,3]
[5,8,1,3,4,7,6,2]=>[8,6,1,3,5,7,4,2]
[3,1,8,6,4,7,5,2]=>[3,5,1,7,6,8,2,4]
[8,1,2,6,7,4,5,3]=>[8,1,5,7,4,2,6,3]
[6,1,2,8,7,3,5,4]=>[6,1,7,5,3,2,8,4]
[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]
[1,2,3,5,8,6,4,7]=>[1,2,3,6,5,8,4,7]
[7,1,2,8,3,6,5,4]=>[7,1,8,5,6,3,2,4]
[7,1,2,8,6,4,5,3]=>[7,1,5,6,4,8,2,3]
[3,1,7,8,4,6,5,2]=>[3,5,1,6,8,2,7,4]
[3,1,8,7,6,4,5,2]=>[3,5,1,6,4,7,8,2]
[8,1,2,7,4,6,5,3]=>[8,1,5,6,7,3,2,4]
[8,1,2,7,3,6,5,4]=>[8,1,7,5,6,3,2,4]
[1,2,3,5,8,7,4,6]=>[1,2,3,7,5,4,8,6]
[1,2,3,6,8,5,4,7]=>[1,2,3,5,8,6,4,7]
[7,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,7,1]
[7,8,5,3,6,1,2,4]=>[6,1,5,2,8,3,7,4]
[7,5,6,3,1,4,2,8]=>[3,6,4,2,7,5,1,8]
[7,5,8,3,1,4,2,6]=>[3,8,4,2,7,1,5,6]
[7,8,5,3,1,4,2,6]=>[3,5,4,2,8,1,7,6]
[7,8,5,3,1,6,2,4]=>[3,5,8,2,6,1,7,4]
[7,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,7,2]
[7,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,7,2]
[7,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,7,3]
[7,8,5,3,4,1,6,2]=>[4,6,5,3,8,1,7,2]
[7,8,5,3,1,4,6,2]=>[3,5,8,1,6,4,7,2]
[7,8,5,3,1,2,6,4]=>[3,1,5,8,6,4,7,2]
[7,5,3,8,1,2,6,4]=>[8,1,5,7,6,2,4,3]
[7,5,8,3,4,1,6,2]=>[4,6,8,3,7,1,5,2]
[7,5,8,3,4,6,1,2]=>[6,1,8,3,7,4,5,2]
[7,5,6,3,4,1,8,2]=>[4,8,6,3,7,5,1,2]
[7,5,6,3,1,4,8,2]=>[3,6,8,2,7,5,4,1]
[7,5,6,3,1,2,8,4]=>[3,1,6,8,7,5,2,4]
[7,5,3,6,1,2,8,4]=>[6,1,5,7,8,4,2,3]
[7,5,3,4,1,2,8,6]=>[4,1,5,3,7,8,2,6]
[7,5,3,1,4,2,6,8]=>[3,5,4,2,7,1,6,8]
[7,5,3,1,4,2,8,6]=>[3,5,4,2,7,8,1,6]
[7,5,3,1,6,2,8,4]=>[3,5,7,6,8,1,4,2]
[7,5,3,1,6,4,8,2]=>[3,5,7,8,6,1,2,4]
[7,5,3,6,1,4,8,2]=>[6,8,5,1,7,3,4,2]
[7,5,3,6,4,1,8,2]=>[4,6,8,5,7,1,2,3]
[7,5,3,6,4,8,1,2]=>[8,1,5,7,6,4,3,2]
[7,5,3,8,4,6,1,2]=>[6,1,5,7,8,3,4,2]
[7,5,3,8,1,4,6,2]=>[8,6,5,1,7,4,3,2]
[7,5,3,1,8,4,6,2]=>[3,5,7,6,8,2,1,4]
[7,5,3,1,8,2,6,4]=>[3,5,7,8,6,4,1,2]
[7,5,3,1,8,2,4,6]=>[3,5,7,2,8,4,1,6]
[7,5,3,1,6,2,4,8]=>[3,5,7,2,6,1,4,8]
[7,5,3,1,6,4,2,8]=>[3,5,4,7,6,1,2,8]
[7,5,3,1,8,4,2,6]=>[3,5,4,7,8,2,1,6]
[7,5,3,1,8,6,2,4]=>[3,5,7,2,6,8,1,4]
[7,5,3,8,1,6,4,2]=>[8,4,6,5,7,1,2,3]
[7,5,3,8,6,1,4,2]=>[6,4,5,3,8,7,1,2]
[7,5,3,8,6,4,1,2]=>[4,1,6,5,8,7,3,2]
[7,5,8,3,6,4,1,2]=>[4,1,6,8,7,2,5,3]
[7,5,8,3,6,1,4,2]=>[6,4,8,1,7,3,5,2]
[7,5,8,3,1,6,4,2]=>[3,8,4,6,7,2,5,1]
[7,5,8,3,1,6,2,4]=>[3,8,6,1,7,2,5,4]
[7,5,3,6,1,4,2,8]=>[6,4,5,1,7,3,2,8]
[7,5,3,6,4,1,2,8]=>[4,1,6,5,7,2,3,8]
[7,5,3,8,4,1,2,6]=>[4,1,8,5,7,3,2,6]
[7,5,8,6,3,1,2,4]=>[3,1,6,2,8,7,4,5]
[7,5,8,6,3,1,4,2]=>[3,6,4,2,8,7,1,5]
[7,5,8,6,3,4,1,2]=>[4,1,6,3,8,7,2,5]
[7,5,6,8,3,1,4,2]=>[3,8,4,2,7,5,6,1]
[7,5,6,3,8,1,2,4]=>[8,1,6,2,7,5,3,4]
[7,5,3,4,1,6,2,8]=>[4,6,5,3,7,1,2,8]
[7,5,3,4,1,8,2,6]=>[4,8,5,3,7,2,1,6]
[7,5,6,3,1,8,2,4]=>[3,6,8,1,7,5,2,4]
[7,5,6,3,1,8,4,2]=>[3,6,4,8,7,5,2,1]
[7,5,6,3,8,1,4,2]=>[8,4,6,1,7,5,3,2]
[7,5,6,3,8,4,1,2]=>[4,1,8,6,7,5,2,3]
[7,5,3,6,8,4,1,2]=>[4,1,8,5,7,2,6,3]
[7,5,3,6,8,1,4,2]=>[8,4,5,1,7,3,6,2]
[7,5,3,6,1,8,4,2]=>[6,4,8,5,7,2,1,3]
[7,5,3,1,6,8,4,2]=>[3,5,4,7,8,1,6,2]
[7,5,3,1,6,8,2,4]=>[3,5,7,2,8,1,6,4]
[7,5,3,1,4,8,2,6]=>[3,5,7,1,8,2,4,6]
[7,5,3,1,4,6,2,8]=>[3,5,7,1,6,4,2,8]
[7,5,3,1,2,6,4,8]=>[3,1,5,7,6,4,2,8]
[7,5,3,1,2,8,4,6]=>[3,1,5,7,8,2,4,6]
[7,5,3,1,2,8,6,4]=>[3,1,5,7,6,8,4,2]
[7,5,3,1,4,8,6,2]=>[3,5,7,1,6,8,4,2]
[7,5,3,4,1,8,6,2]=>[4,6,5,2,8,7,1,3]
[7,5,3,4,8,1,6,2]=>[8,6,5,3,7,1,4,2]
[7,5,3,4,8,6,1,2]=>[6,1,5,2,8,7,4,3]
[7,5,3,4,6,1,8,2]=>[6,8,5,3,7,4,1,2]
[7,5,3,4,1,6,8,2]=>[4,8,5,3,7,1,6,2]
[7,5,3,1,4,6,8,2]=>[3,5,7,1,8,4,6,2]
[7,5,3,1,2,6,8,4]=>[3,1,5,7,8,4,6,2]
[7,5,3,1,2,4,8,6]=>[3,1,5,2,7,8,4,6]
[3,6,2,5,4,1,8,7]=>[4,5,3,6,1,2,8,7]
[3,5,2,8,4,7,6,1]=>[6,5,3,7,2,8,1,4]
[5,4,7,3,2,8,6,1]=>[6,3,8,5,4,7,1,2]
[5,4,8,3,2,7,6,1]=>[6,3,7,5,4,8,1,2]
[6,4,5,3,2,1,8,7]=>[2,3,5,6,4,1,8,7]
[5,3,2,6,4,1,8,7]=>[4,3,6,5,1,2,8,7]
[4,5,8,3,2,7,6,1]=>[6,3,7,4,5,8,1,2]
[4,7,6,3,8,5,2,1]=>[2,5,8,4,6,7,1,3]
[4,8,6,3,7,5,2,1]=>[2,5,7,4,6,8,1,3]
[4,8,5,3,2,7,6,1]=>[6,3,5,4,7,8,1,2]
[5,8,4,3,2,7,6,1]=>[6,3,4,7,5,8,1,2]
[5,3,2,8,4,7,6,1]=>[6,3,5,7,2,8,1,4]
[2,1,5,8,4,7,6,3]=>[2,1,6,7,5,8,3,4]
[5,3,2,7,4,8,6,1]=>[6,3,5,8,2,7,1,4]
[5,7,4,3,2,8,6,1]=>[6,3,4,8,5,7,1,2]
[4,7,5,3,2,8,6,1]=>[6,3,5,4,8,7,1,2]
[4,7,8,3,6,5,2,1]=>[2,5,6,4,8,1,7,3]
[4,6,8,3,7,5,2,1]=>[2,5,7,4,8,6,1,3]
[7,6,4,3,8,5,2,1]=>[2,5,4,8,6,7,1,3]
[7,3,2,6,8,5,4,1]=>[4,3,5,8,7,2,6,1]
[2,1,8,6,7,5,4,3]=>[2,1,4,5,7,8,6,3]
[8,3,2,6,7,5,4,1]=>[4,3,5,7,8,2,6,1]
[8,6,4,3,7,5,2,1]=>[2,5,4,7,6,8,1,3]
[8,5,7,6,4,3,2,1]=>[2,3,4,6,7,8,1,5]
[8,4,5,3,2,7,6,1]=>[6,3,5,7,1,8,2,4]
[8,4,7,3,6,5,2,1]=>[2,5,6,7,8,4,1,3]
[8,4,6,3,7,5,2,1]=>[2,5,7,6,8,1,4,3]
[7,4,6,3,8,5,2,1]=>[2,5,8,6,7,1,4,3]
[3,7,2,6,8,5,4,1]=>[4,5,3,8,7,2,6,1]
[3,8,2,6,7,5,4,1]=>[4,5,3,7,8,2,6,1]
[3,8,2,5,4,7,6,1]=>[6,7,3,5,1,8,4,2]
[3,7,2,8,6,5,4,1]=>[4,5,3,6,8,7,1,2]
[3,6,2,8,7,5,4,1]=>[4,5,3,7,6,2,8,1]
[6,4,7,3,8,5,2,1]=>[2,5,8,7,6,1,4,3]
[6,4,8,3,7,5,2,1]=>[2,5,7,8,6,1,4,3]
[7,4,8,3,6,5,2,1]=>[2,5,6,8,7,4,1,3]
[7,4,5,3,2,8,6,1]=>[6,3,5,8,1,7,2,4]
[7,5,4,3,2,8,6,1]=>[6,3,4,5,8,7,1,2]
[7,3,2,5,4,8,6,1]=>[6,3,8,5,1,7,4,2]
[2,1,7,5,4,8,6,3]=>[2,1,6,5,8,7,3,4]
[7,3,2,8,6,5,4,1]=>[4,3,5,6,8,7,1,2]
[7,8,4,3,6,5,2,1]=>[2,5,4,6,8,1,7,3]
[6,8,5,7,4,3,2,1]=>[2,3,4,7,8,6,5,1]
[6,8,4,3,7,5,2,1]=>[2,5,4,7,8,6,1,3]
[6,3,2,8,7,5,4,1]=>[4,3,5,7,6,2,8,1]
[6,3,2,7,8,5,4,1]=>[4,3,5,8,6,2,7,1]
[6,7,4,3,8,5,2,1]=>[2,5,4,8,7,6,1,3]
[4,6,8,3,5,7,1,2]=>[7,1,8,4,3,6,5,2]
[6,8,1,2,4,5,7,3]=>[8,1,7,2,4,6,5,3]
[3,5,8,2,4,7,1,6]=>[7,8,3,2,5,1,4,6]
[8,3,5,2,4,1,6,7]=>[4,5,8,2,3,1,6,7]
[4,2,5,7,3,6,1,8]=>[6,4,7,2,5,3,1,8]
[4,5,2,8,3,1,6,7]=>[3,8,5,4,1,2,6,7]
[4,2,5,8,3,7,1,6]=>[7,4,8,2,5,1,3,6]
[2,1,6,8,4,7,3,5]=>[2,1,7,8,3,6,4,5]
[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,3,6,4]
[5,3,6,8,4,7,1,2]=>[7,1,5,8,3,6,4,2]
[1,6,5,8,2,4,7,3]=>[1,8,7,2,6,5,4,3]
[3,1,2,6,8,5,7,4]=>[3,1,2,7,8,6,5,4]
[1,4,3,8,2,6,7,5]=>[1,8,4,3,7,2,6,5]
[5,4,8,3,2,1,6,7]=>[2,3,8,5,4,1,6,7]
[5,4,3,7,2,6,1,8]=>[6,7,4,5,3,2,1,8]
[4,3,6,2,7,5,1,8]=>[5,7,4,3,6,1,2,8]
[4,6,3,2,1,8,5,7]=>[2,3,6,4,8,1,5,7]
[4,1,7,3,2,5,8,6]=>[4,3,7,1,2,8,5,6]
[4,3,1,7,8,2,6,5]=>[3,4,8,2,6,1,7,5]
[3,5,1,2,7,8,6,4]=>[5,1,3,6,2,8,7,4]
[7,5,1,4,8,2,6,3]=>[5,7,8,2,6,3,4,1]
[5,4,7,3,8,6,1,2]=>[6,1,8,5,4,7,2,3]
[5,8,4,7,6,3,1,2]=>[3,1,6,7,5,8,2,4]
[5,8,7,1,4,2,6,3]=>[7,4,6,1,5,2,8,3]
[8,3,5,1,2,7,6,4]=>[5,1,8,6,3,7,2,4]
[4,8,3,1,7,2,6,5]=>[3,8,7,4,6,1,2,5]
[1,8,4,3,5,2,7,6]=>[1,5,4,8,3,7,2,6]
[4,6,3,1,5,2,8,7]=>[3,6,5,4,2,1,8,7]
[4,7,3,6,5,2,1,8]=>[2,5,6,4,7,1,3,8]
[5,3,7,6,4,2,1,8]=>[2,4,6,5,1,7,3,8]
[1,6,3,4,2,8,7,5]=>[1,4,6,3,7,2,8,5]
[1,8,3,6,2,7,5,4]=>[1,6,8,5,7,3,2,4]
[1,6,8,7,4,2,5,3]=>[1,4,7,5,3,6,8,2]
[6,4,8,7,5,3,1,2]=>[3,1,5,7,6,2,8,4]
[7,6,4,3,8,5,1,2]=>[5,1,4,8,6,7,2,3]
[1,7,6,2,8,4,5,3]=>[1,6,5,7,2,8,4,3]
[7,1,3,2,6,8,5,4]=>[7,3,1,5,8,2,6,4]
[1,5,3,2,7,4,8,6]=>[1,3,5,7,2,8,4,6]
[6,3,2,1,8,5,4,7]=>[2,3,6,5,8,1,4,7]
[6,5,3,2,7,4,1,8]=>[4,3,7,5,6,1,2,8]
[5,2,6,3,7,4,1,8]=>[4,7,5,6,3,1,2,8]
[2,8,5,3,1,6,4,7]=>[3,2,5,8,6,4,1,7]
[2,1,7,3,8,5,4,6]=>[2,1,7,5,8,4,3,6]
[1,6,2,3,7,8,5,4]=>[1,6,2,5,8,3,7,4]
[1,6,7,2,8,4,5,3]=>[1,7,5,8,4,6,2,3]
[5,7,1,8,2,4,6,3]=>[7,8,6,2,5,4,1,3]
[5,1,2,7,8,3,6,4]=>[5,1,8,6,2,3,7,4]
[2,4,1,7,8,6,3,5]=>[4,2,6,1,3,8,7,5]
[4,2,1,7,3,8,5,6]=>[2,4,7,1,8,5,3,6]
[6,2,8,4,3,1,5,7]=>[3,4,8,6,1,2,5,7]
[7,3,2,1,8,4,5,6]=>[2,3,7,8,4,5,1,6]
[7,8,3,2,5,6,1,4]=>[6,3,8,1,2,5,7,4]
[7,1,8,2,4,5,6,3]=>[7,8,6,2,4,5,1,3]
[8,7,6,1,2,4,5,3]=>[6,1,5,2,4,7,8,3]
[8,3,7,6,2,1,4,5]=>[2,6,7,3,4,8,1,5]
[3,2,8,7,5,1,4,6]=>[5,3,2,1,7,4,8,6]
[8,3,6,5,2,1,4,7]=>[2,5,6,3,8,1,4,7]
[7,6,3,5,2,4,1,8]=>[4,5,6,2,3,7,1,8]
[7,4,6,2,5,3,1,8]=>[3,5,6,7,1,4,2,8]
[8,2,4,1,6,5,3,7]=>[4,8,5,2,6,1,3,7]
[4,2,8,1,7,5,3,6]=>[8,4,5,2,7,3,1,6]
[8,2,4,1,7,6,3,5]=>[4,8,6,2,3,7,1,5]
[8,7,1,5,6,2,4,3]=>[7,6,4,2,1,5,8,3]
[8,5,7,3,6,4,1,2]=>[4,1,6,7,8,2,5,3]
[6,8,3,7,5,4,1,2]=>[4,1,5,7,8,6,3,2]
[8,1,6,7,5,2,4,3]=>[8,5,4,2,7,1,6,3]
[8,1,2,6,4,3,7,5]=>[8,1,4,6,7,2,3,5]
[2,8,1,7,5,4,3,6]=>[8,2,4,5,7,3,1,6]
[2,5,1,8,6,4,3,7]=>[5,2,4,6,1,8,3,7]
[5,7,2,6,4,3,1,8]=>[3,4,6,7,5,2,1,8]
[6,2,7,5,4,3,1,8]=>[3,4,5,7,6,1,2,8]
[2,1,8,6,5,4,3,7]=>[2,1,4,5,6,8,3,7]
[1,2,7,5,4,3,8,6]=>[1,2,4,5,7,8,3,6]
[1,7,2,4,3,8,6,5]=>[1,7,4,2,6,8,3,5]
[1,7,2,8,3,6,5,4]=>[1,7,8,5,6,3,2,4]
[1,7,8,6,5,2,4,3]=>[1,5,4,2,6,8,7,3]
[7,3,8,6,5,4,1,2]=>[4,1,5,6,8,7,2,3]
[1,8,7,6,5,2,4,3]=>[1,5,4,2,6,7,8,3]
[8,1,7,3,2,6,5,4]=>[8,3,7,5,6,2,1,4]
[5,1,4,3,2,8,7,6]=>[5,3,4,1,2,7,8,6]
[8,6,5,3,2,1,7,4]=>[2,3,5,6,8,7,1,4]
[8,6,3,2,1,7,4,5]=>[2,3,6,8,1,7,4,5]
[8,6,5,4,1,7,2,3]=>[4,5,1,6,8,7,2,3]
[8,6,5,1,7,3,2,4]=>[5,3,6,2,8,7,1,4]
[8,6,1,7,4,3,2,5]=>[6,3,4,8,1,7,2,5]
[4,6,3,2,7,5,1,8]=>[5,3,7,4,6,1,2,8]
[1,4,3,7,2,5,8,6]=>[1,7,4,3,2,8,5,6]
[7,4,8,3,1,6,2,5]=>[3,8,6,7,1,2,4,5]
[7,1,5,8,3,2,6,4]=>[7,3,8,6,1,2,5,4]
[5,7,4,1,8,2,6,3]=>[4,7,8,6,5,3,2,1]
[5,7,4,3,1,8,6,2]=>[3,4,7,6,5,8,1,2]
[1,8,7,2,5,4,6,3]=>[1,7,6,5,2,4,8,3]
[1,8,5,3,7,2,6,4]=>[1,7,5,8,6,2,4,3]
[4,3,1,8,7,5,2,6]=>[3,4,5,2,7,1,8,6]
[1,4,8,6,3,5,2,7]=>[1,5,6,4,3,8,2,7]
[7,4,6,3,5,2,1,8]=>[2,5,6,7,3,4,1,8]
[1,3,5,6,8,4,2,7]=>[1,4,3,8,5,6,2,7]
[3,5,4,8,7,1,2,6]=>[7,1,3,5,4,2,8,6]
[3,1,4,6,8,7,2,5]=>[3,7,1,4,2,6,8,5]
[1,6,3,8,7,2,5,4]=>[1,7,6,5,2,3,8,4]
[1,6,2,4,8,7,5,3]=>[1,6,5,2,7,4,8,3]
[8,4,1,6,7,5,3,2]=>[4,3,8,5,7,2,6,1]
[7,1,6,4,8,5,2,3]=>[7,5,2,8,6,1,3,4]
[7,3,6,8,5,1,2,4]=>[5,1,8,3,7,2,6,4]
[1,3,7,2,6,8,4,5]=>[1,7,3,8,4,2,6,5]
[3,6,5,2,8,1,4,7]=>[8,5,3,1,6,2,4,7]
[3,6,5,7,2,4,1,8]=>[4,7,3,2,6,5,1,8]
[4,2,6,3,8,1,5,7]=>[8,4,6,2,1,3,5,7]
[4,2,6,7,3,5,1,8]=>[5,4,7,2,3,6,1,8]
[3,6,2,4,7,5,1,8]=>[5,7,3,1,6,4,2,8]
[3,6,2,4,1,8,5,7]=>[4,6,3,2,8,1,5,7]
[7,3,8,2,1,6,4,5]=>[2,8,7,6,4,1,3,5]
[7,3,5,2,1,8,6,4]=>[2,5,7,6,3,8,1,4]
[8,7,6,4,3,1,5,2]=>[3,4,6,5,1,7,8,2]
[8,7,6,4,1,5,2,3]=>[4,6,1,5,2,7,8,3]
[3,8,7,2,1,4,6,5]=>[2,7,3,1,6,4,8,5]
[3,8,2,7,1,5,4,6]=>[7,8,3,5,1,4,2,6]
[3,6,8,2,1,5,4,7]=>[2,8,3,5,1,6,4,7]
[2,4,8,1,6,5,3,7]=>[8,2,5,4,6,1,3,7]
[4,2,8,1,5,7,3,6]=>[8,4,7,2,1,3,5,6]
[8,5,7,6,1,4,2,3]=>[6,4,2,1,7,8,3,5]
[8,6,1,7,3,5,4,2]=>[6,4,5,8,1,7,2,3]
[8,6,1,7,5,4,2,3]=>[6,4,1,5,8,7,2,3]
[1,6,2,8,7,3,5,4]=>[1,6,7,5,3,2,8,4]
[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]
[2,8,5,4,7,1,3,6]=>[7,2,1,5,8,3,4,6]
[2,1,5,8,6,4,3,7]=>[2,1,4,6,5,8,3,7]
[7,2,5,6,4,3,1,8]=>[3,4,6,7,2,5,1,8]
[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]
[1,2,7,4,8,6,3,5]=>[1,2,6,8,4,7,3,5]
[1,2,7,8,3,6,5,4]=>[1,2,8,5,6,3,7,4]
[7,1,8,6,3,5,4,2]=>[7,4,5,6,2,8,1,3]
[1,8,7,6,3,5,2,4]=>[1,5,6,2,3,7,8,4]
[1,8,7,4,6,3,2,5]=>[1,3,6,7,2,4,8,5]
[7,1,5,8,3,4,6,2]=>[7,6,8,3,1,4,5,2]
[7,1,6,4,2,3,5,8]=>[7,4,2,6,3,1,5,8]
[8,6,2,4,7,3,5,1]=>[5,6,8,3,2,7,4,1]
[8,6,2,4,5,7,3,1]=>[3,7,6,1,4,8,5,2]
[2,7,1,4,5,8,3,6]=>[7,2,8,1,4,3,5,6]
[7,1,6,4,5,2,3,8]=>[7,5,2,6,4,1,3,8]
[7,1,4,5,6,8,2,3]=>[7,8,2,1,4,5,6,3]
[7,1,4,6,5,8,3,2]=>[7,3,8,1,6,4,5,2]
[7,1,2,3,8,5,4,6]=>[7,1,2,5,8,4,3,6]
[7,1,5,4,3,8,2,6]=>[7,8,4,5,1,2,3,6]
[7,1,3,4,2,6,8,5]=>[7,4,1,3,8,2,6,5]
[7,1,5,4,6,2,8,3]=>[7,6,8,5,1,4,2,3]
[7,1,5,6,4,3,8,2]=>[7,8,4,6,1,5,3,2]
[7,1,6,5,4,3,2,8]=>[7,3,4,5,6,1,2,8]
[8,6,2,5,4,3,7,1]=>[7,6,4,5,2,8,3,1]
[2,5,1,7,4,3,6,8]=>[5,2,4,7,1,3,6,8]
[2,5,1,4,7,8,6,3]=>[5,2,6,1,4,8,7,3]
[3,5,1,4,8,6,2,7]=>[5,6,3,1,4,8,2,7]
[3,6,2,4,7,8,1,5]=>[8,6,3,2,1,4,7,5]
[5,6,2,4,8,7,1,3]=>[7,6,1,2,5,4,8,3]
[6,3,8,2,4,7,1,5]=>[7,8,6,2,1,3,4,5]
[6,5,8,7,2,3,1,4]=>[3,7,2,1,6,5,8,4]
[6,5,7,8,2,4,1,3]=>[4,8,1,2,6,5,7,3]
[6,3,4,2,8,5,1,7]=>[5,4,8,1,6,2,3,7]
[3,4,7,2,5,8,1,6]=>[8,7,3,4,2,1,5,6]
[4,6,8,1,3,5,2,7]=>[8,5,1,4,3,6,2,7]
[4,3,8,1,2,7,5,6]=>[8,1,4,3,7,5,2,6]
[3,6,4,1,7,2,5,8]=>[4,6,3,7,1,2,5,8]
[2,8,3,1,5,6,4,7]=>[3,2,8,6,1,5,4,7]
[3,8,7,1,5,4,2,6]=>[7,4,3,5,1,2,8,6]
[4,3,1,7,6,8,2,5]=>[3,4,8,2,1,7,6,5]
[3,4,1,7,5,6,8,2]=>[4,8,3,1,7,5,6,2]
[3,4,1,5,7,6,2,8]=>[4,6,3,1,5,7,2,8]
[3,7,4,1,6,2,8,5]=>[4,7,3,6,8,2,1,5]
[8,4,7,2,5,3,6,1]=>[6,7,5,8,2,3,4,1]
[4,7,8,1,2,3,6,5]=>[8,1,2,4,6,3,7,5]
[2,8,6,1,5,3,7,4]=>[6,2,5,8,4,7,3,1]
[7,6,5,1,3,8,2,4]=>[5,6,1,2,7,8,3,4]
[7,6,5,1,3,4,8,2]=>[5,6,1,3,7,8,4,2]
[7,2,6,4,1,3,8,5]=>[4,6,2,7,8,1,3,5]
[6,7,5,2,1,3,8,4]=>[2,5,1,7,8,6,4,3]
[8,4,5,3,7,2,6,1]=>[6,7,5,8,4,2,3,1]
[4,7,5,2,8,1,6,3]=>[8,5,7,4,6,1,3,2]
[2,6,4,3,1,5,7,8]=>[3,2,4,6,1,5,7,8]
[7,3,8,4,1,5,2,6]=>[4,8,5,7,2,3,1,6]
[7,2,3,4,1,6,5,8]=>[4,7,2,3,6,1,5,8]
[4,2,8,3,6,1,5,7]=>[6,4,8,2,1,3,5,7]
[6,8,5,7,2,1,3,4]=>[2,7,1,3,8,6,5,4]
[4,8,5,2,7,1,3,6]=>[7,5,1,4,8,3,2,6]
[6,3,5,2,1,7,4,8]=>[2,5,6,7,3,1,4,8]
[6,8,5,3,1,4,2,7]=>[3,5,4,2,8,6,1,7]
[3,6,5,4,2,8,1,7]=>[8,4,3,5,6,2,1,7]
[1,6,4,7,2,5,3,8]=>[1,7,5,6,2,4,3,8]
[1,6,4,8,2,5,3,7]=>[1,8,5,6,2,4,3,7]
[1,6,5,8,2,4,3,7]=>[1,8,4,2,6,5,3,7]
[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]
[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]
[1,5,6,2,4,7,3,8]=>[1,6,7,2,5,4,3,8]
[1,5,6,2,4,7,8,3]=>[1,6,8,2,5,4,7,3]
[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]
[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]
[1,6,5,7,2,4,3,8]=>[1,7,4,2,6,5,3,8]
[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]
[1,5,6,7,2,4,8,3]=>[1,7,8,2,5,6,4,3]
[1,5,8,2,4,6,7,3]=>[1,8,7,2,5,4,6,3]
[1,5,7,2,4,6,8,3]=>[1,7,8,2,5,4,6,3]
[1,5,7,8,3,2,4,6]=>[1,3,8,2,5,4,7,6]
[1,5,8,3,2,4,6,7]=>[1,3,8,2,5,4,6,7]
[1,5,6,2,4,8,3,7]=>[1,6,8,2,5,4,3,7]
[1,7,6,2,8,3,4,5]=>[1,6,7,2,4,8,3,5]
[1,7,3,4,2,8,6,5]=>[1,4,7,3,6,8,2,5]
[1,6,2,4,3,8,7,5]=>[1,6,4,2,7,3,8,5]
[1,5,6,2,4,8,7,3]=>[1,6,7,2,5,4,8,3]
[1,5,8,7,3,2,4,6]=>[1,3,7,2,5,4,8,6]
[1,4,2,3,5,8,7,6]=>[1,4,2,3,5,7,8,6]
[1,5,2,3,4,8,7,6]=>[1,5,2,3,4,7,8,6]
[1,6,5,2,3,8,7,4]=>[1,5,2,6,7,4,8,3]
[1,7,4,2,8,6,5,3]=>[1,4,7,5,6,8,3,2]
[1,7,6,5,2,8,4,3]=>[1,5,4,6,7,8,2,3]
[1,6,7,5,2,3,8,4]=>[1,5,2,7,8,6,4,3]
[1,7,5,2,8,4,3,6]=>[1,5,4,7,8,2,3,6]
[1,7,5,6,2,8,3,4]=>[1,6,8,3,7,5,2,4]
[1,5,7,6,2,4,8,3]=>[1,6,7,3,5,8,4,2]
[1,5,8,3,2,4,7,6]=>[1,3,8,2,5,7,4,6]
[1,6,5,2,3,7,4,8]=>[1,5,2,6,7,4,3,8]
[1,6,5,2,3,7,8,4]=>[1,5,2,6,8,4,7,3]
[1,6,8,4,2,3,7,5]=>[1,4,2,8,7,6,3,5]
[1,7,4,6,2,8,3,5]=>[1,6,8,7,3,4,2,5]
[1,7,3,5,2,8,4,6]=>[1,5,7,8,3,4,2,6]
[1,6,8,5,2,3,7,4]=>[1,5,2,8,7,6,4,3]
[1,6,4,2,3,7,8,5]=>[1,4,2,6,8,3,7,5]
[1,6,4,2,3,7,5,8]=>[1,4,2,6,7,3,5,8]
[1,5,8,6,2,4,7,3]=>[1,6,8,3,5,7,4,2]
[1,5,7,3,2,4,8,6]=>[1,3,7,2,5,8,4,6]
[1,7,3,4,2,8,5,6]=>[1,4,7,3,8,5,2,6]
[1,7,4,2,8,5,3,6]=>[1,4,7,5,8,2,3,6]
[1,6,7,4,2,3,8,5]=>[1,4,2,7,8,6,3,5]
[1,6,4,2,3,8,5,7]=>[1,4,2,6,8,3,5,7]
[1,7,6,4,2,8,5,3]=>[1,4,6,5,7,8,2,3]
[1,7,5,2,8,6,4,3]=>[1,5,4,7,6,8,3,2]
[1,6,4,2,3,8,7,5]=>[1,4,2,6,7,3,8,5]
[7,3,5,6,1,4,8,2]=>[6,8,7,1,3,5,4,2]
[3,7,5,6,1,4,8,2]=>[6,8,3,1,7,5,4,2]
[8,2,4,1,6,7,5,3]=>[4,8,5,2,7,1,6,3]
[8,6,1,4,2,7,5,3]=>[6,4,5,3,8,7,2,1]
[3,6,1,4,2,8,5,7]=>[6,4,3,1,8,2,5,7]
[1,6,7,4,3,5,8,2]=>[1,8,4,7,3,6,5,2]
[6,7,1,4,3,5,8,2]=>[7,8,4,1,3,6,5,2]
[7,6,1,4,3,5,8,2]=>[6,7,4,2,3,8,5,1]
[3,5,4,1,6,7,8,2]=>[4,5,3,8,2,6,7,1]
[4,7,1,6,3,5,8,2]=>[7,8,6,4,3,1,5,2]
[3,1,4,7,6,5,8,2]=>[3,8,1,4,6,7,5,2]
[6,1,7,4,3,5,8,2]=>[6,8,4,7,3,1,5,2]
[7,1,6,4,3,5,8,2]=>[7,8,4,6,3,1,5,2]
[1,7,6,4,3,5,8,2]=>[1,8,4,6,3,7,5,2]
[8,1,6,4,2,7,5,3]=>[8,4,6,5,7,1,3,2]
[8,4,1,3,7,2,5,6]=>[4,8,2,7,1,5,3,6]
[4,7,1,3,8,2,5,6]=>[7,8,1,4,2,5,3,6]
[7,4,1,3,8,2,5,6]=>[4,7,2,8,1,5,3,6]
[1,3,6,4,2,8,5,7]=>[1,4,3,6,8,2,5,7]
[4,7,3,1,2,8,5,6]=>[3,1,7,4,8,5,2,6]
[4,7,8,1,2,6,5,3]=>[8,1,5,4,6,2,7,3]
[6,8,1,4,2,7,5,3]=>[8,4,5,1,7,6,2,3]
[1,8,6,4,2,7,5,3]=>[1,4,6,5,8,7,2,3]
[4,8,1,3,7,2,5,6]=>[8,7,1,4,2,5,3,6]
[8,7,1,3,6,2,5,4]=>[7,6,1,5,2,3,8,4]
[6,8,5,7,3,2,1,4]=>[2,3,7,1,8,6,5,4]
[1,8,4,3,7,2,5,6]=>[1,7,4,8,2,5,3,6]
[2,8,3,4,7,6,1,5]=>[6,2,7,1,3,8,4,5]
[3,7,8,4,6,2,1,5]=>[2,6,3,8,1,4,7,5]
[3,7,4,6,8,2,1,5]=>[2,8,3,7,1,4,6,5]
[2,4,3,7,8,6,1,5]=>[6,2,4,3,1,8,7,5]
[1,4,7,3,8,2,5,6]=>[1,8,7,4,2,5,3,6]
[5,7,6,8,3,2,1,4]=>[2,3,8,1,5,7,6,4]
[2,5,3,4,8,6,1,7]=>[6,2,5,3,4,8,1,7]
[3,7,5,4,8,2,1,6]=>[2,8,3,5,7,1,4,6]
[7,1,3,4,2,8,5,6]=>[7,4,1,3,8,5,2,6]
[6,1,4,3,8,2,5,7]=>[6,8,4,1,2,3,5,7]
[4,1,7,3,8,2,5,6]=>[4,8,7,1,2,5,3,6]
[8,1,4,3,7,2,5,6]=>[8,7,4,1,2,5,3,6]
[8,2,3,4,7,6,1,5]=>[6,7,1,3,2,8,4,5]
[4,2,3,7,8,6,1,5]=>[6,4,2,3,1,8,7,5]
[5,2,3,4,8,6,1,7]=>[6,5,2,3,4,8,1,7]
[2,7,5,6,3,8,1,4]=>[8,2,6,1,7,5,3,4]
[5,7,2,6,3,8,1,4]=>[8,7,6,1,5,2,3,4]
[5,7,2,6,8,4,1,3]=>[4,8,2,7,5,1,6,3]
[7,2,5,6,8,4,1,3]=>[4,8,2,7,1,5,6,3]
[4,2,3,8,5,6,1,7]=>[6,4,2,3,8,5,1,7]
[5,2,3,8,7,6,1,4]=>[6,5,2,1,3,7,8,4]
[8,2,3,7,5,6,1,4]=>[6,8,2,1,7,5,3,4]
[6,1,8,3,7,2,5,4]=>[6,7,8,5,2,1,3,4]
[1,7,8,4,2,6,5,3]=>[1,4,8,5,6,3,7,2]
[4,7,1,8,2,5,6,3]=>[7,8,6,4,2,5,1,3]
[3,7,4,8,5,2,1,6]=>[2,5,3,8,7,4,1,6]
[2,4,3,8,5,6,1,7]=>[6,2,4,3,8,5,1,7]
[1,4,8,3,6,2,5,7]=>[1,6,8,4,2,3,5,7]
[7,5,8,6,3,2,1,4]=>[2,3,6,1,8,7,4,5]
[6,5,8,7,3,2,1,4]=>[2,3,7,1,6,5,8,4]
[8,5,7,6,3,2,1,4]=>[2,3,6,1,7,8,4,5]
[2,5,3,8,7,6,1,4]=>[6,2,5,1,3,7,8,4]
[3,7,5,8,6,2,1,4]=>[2,6,3,1,8,7,4,5]
[3,7,8,6,5,2,1,4]=>[2,5,3,1,6,8,7,4]
[1,8,7,3,6,2,5,4]=>[1,6,7,5,2,3,8,4]
[6,8,7,5,3,2,1,4]=>[2,3,5,1,7,6,8,4]
[5,7,6,8,3,4,1,2]=>[4,1,8,3,5,7,6,2]
[3,7,6,8,4,5,1,2]=>[5,1,3,8,4,7,6,2]
[1,5,4,7,6,8,2,3]=>[1,8,2,5,4,7,6,3]
[1,7,4,6,5,8,2,3]=>[1,8,2,7,6,4,5,3]
[3,7,4,6,5,8,1,2]=>[8,1,3,7,6,4,5,2]
[3,5,4,8,6,7,1,2]=>[7,1,3,5,4,8,6,2]
[3,8,4,6,5,7,1,2]=>[7,1,3,8,6,4,5,2]
[3,6,4,7,5,8,1,2]=>[8,1,3,6,7,4,5,2]
[1,6,2,7,5,8,3,4]=>[1,6,8,3,7,2,5,4]
[1,6,4,8,5,7,2,3]=>[1,7,2,6,8,4,5,3]
[1,8,4,6,5,7,2,3]=>[1,7,2,8,6,4,5,3]
[1,5,4,8,6,7,2,3]=>[1,7,2,5,4,8,6,3]
[7,8,1,5,4,6,2,3]=>[8,6,2,5,1,4,7,3]
[7,8,1,5,2,4,3,6]=>[8,5,4,2,1,3,7,6]
[1,8,2,6,5,7,3,4]=>[1,8,7,3,6,2,5,4]
[1,7,2,8,5,6,3,4]=>[1,7,6,3,8,5,2,4]
[1,7,2,6,5,8,3,4]=>[1,7,8,3,6,2,5,4]
[1,5,2,7,6,8,3,4]=>[1,5,8,3,2,7,6,4]
[1,7,6,8,2,5,3,4]=>[1,8,5,3,2,7,6,4]
[1,7,6,8,4,5,2,3]=>[1,5,2,8,4,7,6,3]
[5,7,6,8,1,4,2,3]=>[8,4,2,1,5,7,6,3]
[7,8,5,6,1,3,2,4]=>[6,3,1,2,8,5,7,4]
[5,8,6,7,1,3,2,4]=>[7,3,1,2,5,8,6,4]
[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]
[1,7,6,8,2,4,3,5]=>[1,8,4,2,3,7,6,5]
[7,8,1,3,2,6,4,5]=>[8,3,1,6,4,2,7,5]
[7,8,1,6,2,4,3,5]=>[8,6,4,2,3,1,7,5]
[1,8,6,7,2,4,3,5]=>[1,7,4,2,3,8,6,5]
[7,8,1,4,2,6,3,5]=>[8,4,6,1,3,2,7,5]
[7,8,1,4,2,5,3,6]=>[8,4,5,1,2,3,7,6]
[7,8,2,1,4,3,6,5]=>[2,8,4,1,6,3,7,5]
[7,8,1,2,4,3,5,6]=>[8,1,4,2,3,5,7,6]
[4,3,6,5,8,7,1,2]=>[7,1,4,3,6,5,8,2]
[3,4,6,5,7,8,1,2]=>[8,1,3,4,6,5,7,2]
[1,6,2,3,8,7,4,5]=>[1,6,2,7,4,3,8,5]
[1,7,4,3,2,8,6,5]=>[1,3,4,7,6,8,2,5]
[1,4,7,6,2,5,8,3]=>[1,6,7,4,3,8,5,2]
[1,2,6,5,3,7,4,8]=>[1,2,5,6,7,4,3,8]
[1,2,6,5,3,7,8,4]=>[1,2,5,6,8,4,7,3]
[1,3,7,5,2,6,8,4]=>[1,5,3,7,8,4,6,2]
[1,3,7,4,2,6,8,5]=>[1,4,3,7,8,2,6,5]
[1,2,6,4,3,7,8,5]=>[1,2,4,6,8,3,7,5]
[1,2,6,4,3,7,5,8]=>[1,2,4,6,7,3,5,8]
[1,4,7,3,2,5,8,6]=>[1,3,7,4,2,8,5,6]
[1,4,3,2,5,8,6,7]=>[1,3,4,2,5,8,6,7]
[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]
[1,7,5,3,2,8,6,4]=>[1,3,5,7,6,8,4,2]
[1,5,3,2,4,8,7,6]=>[1,3,5,2,4,7,8,6]
[7,6,5,4,3,1,8,2]=>[3,4,5,6,7,8,1,2]
[6,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,7]
[7,1,5,4,3,8,6,2]=>[7,6,4,5,1,8,3,2]
[3,6,5,4,8,1,7,2]=>[8,7,3,5,6,4,1,2]
[6,8,1,4,3,2,7,5]=>[8,3,4,1,7,6,2,5]
[2,8,5,4,3,7,1,6]=>[7,2,4,5,8,1,3,6]
[7,6,1,4,3,8,5,2]=>[6,5,4,2,7,8,3,1]
[4,6,5,8,3,1,7,2]=>[3,8,7,4,6,5,2,1]
[6,8,5,1,3,2,7,4]=>[5,3,1,8,7,6,4,2]
[1,8,2,4,3,7,6,5]=>[1,8,4,2,6,7,3,5]
[3,8,5,4,7,2,1,6]=>[2,7,3,5,8,1,4,6]
[7,6,5,1,3,8,4,2]=>[5,4,1,6,7,8,3,2]
[1,6,3,4,8,7,5,2]=>[1,5,7,2,6,4,8,3]
[1,4,5,8,3,7,6,2]=>[1,6,7,4,5,8,2,3]
[6,8,5,4,1,2,7,3]=>[4,1,5,8,7,6,2,3]
[1,8,5,2,3,7,6,4]=>[1,5,2,8,6,7,4,3]
[6,8,2,4,3,7,1,5]=>[7,8,4,2,1,6,3,5]
[1,8,3,4,7,2,6,5]=>[1,7,8,3,6,2,4,5]
[7,5,8,4,3,2,1,6]=>[2,3,4,8,7,1,5,6]
[4,8,5,7,3,2,1,6]=>[2,3,7,4,8,1,5,6]
[5,1,7,6,8,4,3,2]=>[5,3,4,8,1,7,6,2]
[6,4,8,5,2,7,1,3]=>[7,5,1,8,6,2,4,3]
[5,1,8,6,7,4,3,2]=>[5,3,4,7,1,8,6,2]
[8,4,7,5,2,6,1,3]=>[6,5,1,7,8,4,2,3]
[5,4,6,8,2,1,7,3]=>[2,8,7,5,4,6,1,3]
[6,4,5,8,1,2,7,3]=>[8,1,7,6,4,5,2,3]
[7,4,6,5,2,1,8,3]=>[2,5,6,8,7,1,3,4]
[8,4,6,5,2,1,7,3]=>[2,5,6,7,8,1,3,4]
[4,8,7,5,6,1,3,2]=>[6,3,1,4,7,5,8,2]
[2,7,5,1,8,4,3,6]=>[5,2,4,7,8,1,3,6]
[5,1,8,7,4,2,3,6]=>[5,4,2,7,1,3,8,6]
[2,8,6,7,4,3,5,1]=>[5,2,4,7,3,8,6,1]
[3,6,5,2,4,1,8,7]=>[4,5,3,2,6,1,8,7]
[5,2,3,6,4,1,8,7]=>[4,6,1,5,3,2,8,7]
[6,1,4,5,3,2,8,7]=>[6,3,5,1,4,2,8,7]
[3,8,7,1,4,6,5,2]=>[7,5,3,1,6,4,8,2]
[5,7,1,2,4,3,8,6]=>[7,1,4,2,5,8,3,6]
[4,3,7,6,8,2,5,1]=>[5,8,4,3,2,7,6,1]
[5,3,6,8,1,7,2,4]=>[8,7,5,2,3,6,1,4]
[3,2,6,8,5,7,1,4]=>[7,3,2,1,8,6,5,4]
[6,3,7,2,4,8,5,1]=>[5,8,7,3,6,1,4,2]
[7,4,8,6,5,2,1,3]=>[2,5,1,6,8,7,4,3]
[7,1,8,2,5,4,3,6]=>[7,8,4,5,2,3,1,6]
[2,5,3,7,4,1,8,6]=>[4,2,7,5,1,8,3,6]
[3,6,4,7,5,1,8,2]=>[5,7,3,8,6,1,2,4]
[8,4,7,6,2,3,1,5]=>[3,6,2,7,4,8,1,5]
[8,4,7,1,2,5,6,3]=>[7,1,6,8,2,5,4,3]
[4,2,8,7,3,5,6,1]=>[6,4,7,2,3,5,8,1]
[8,1,7,4,2,5,6,3]=>[8,4,7,6,3,5,1,2]
[7,4,3,8,2,5,6,1]=>[6,8,4,7,2,5,3,1]
[6,4,1,5,8,2,7,3]=>[4,6,8,7,2,5,3,1]
[2,5,8,7,3,6,1,4]=>[6,2,7,1,5,3,8,4]
[2,1,5,8,7,4,6,3]=>[2,1,6,7,5,4,8,3]
[8,3,5,6,7,4,1,2]=>[4,1,7,8,2,5,6,3]
[7,4,3,2,8,5,6,1]=>[6,3,4,7,8,5,2,1]
[4,2,7,1,8,5,6,3]=>[7,4,6,2,8,5,1,3]
[4,1,7,2,8,5,6,3]=>[4,7,6,1,8,5,2,3]
[2,4,8,7,3,5,6,1]=>[6,2,7,4,3,5,8,1]
[4,7,8,3,1,5,6,2]=>[3,8,6,4,2,5,7,1]
[3,4,7,2,8,5,6,1]=>[6,7,3,4,8,5,2,1]
[3,7,1,4,8,5,6,2]=>[7,6,3,1,8,5,4,2]
[7,2,3,4,8,5,6,1]=>[6,7,2,3,8,5,4,1]
[6,1,8,5,2,7,4,3]=>[6,5,4,8,7,1,3,2]
[2,1,7,4,5,8,6,3]=>[2,1,6,8,3,7,5,4]
[2,1,8,3,6,7,5,4]=>[2,1,8,5,7,3,6,4]
[8,2,1,6,4,7,5,3]=>[2,8,5,7,6,1,3,4]
[7,8,2,6,4,1,5,3]=>[4,6,8,5,2,3,7,1]
[2,6,3,5,8,7,1,4]=>[7,2,6,1,3,5,8,4]
[7,6,2,1,5,8,4,3]=>[2,6,4,7,3,8,5,1]
[4,5,2,7,6,1,8,3]=>[6,5,7,4,2,8,3,1]
[5,1,6,8,4,7,2,3]=>[5,7,2,8,1,6,4,3]
[3,6,8,7,5,2,1,4]=>[2,5,3,1,7,6,8,4]
[7,4,8,6,5,2,3,1]=>[3,5,2,6,8,7,4,1]
[8,1,6,4,7,3,2,5]=>[8,3,7,6,2,1,4,5]
[7,6,4,1,2,3,8,5]=>[4,1,2,6,7,8,5,3]
[2,6,4,8,5,3,7,1]=>[7,2,5,8,6,3,4,1]
[7,3,5,8,4,2,1,6]=>[2,4,8,7,1,3,5,6]
[3,2,5,8,4,1,7,6]=>[4,3,2,8,5,7,1,6]
[8,4,7,1,5,2,3,6]=>[7,5,2,8,1,3,4,6]
[4,8,7,5,6,1,2,3]=>[6,1,2,4,7,5,8,3]
[6,1,4,8,7,3,5,2]=>[6,5,7,1,3,4,8,2]
[7,2,8,4,3,5,6,1]=>[6,7,4,8,3,5,2,1]
[4,7,8,1,3,5,6,2]=>[8,6,1,4,3,5,7,2]
[8,7,3,4,1,5,6,2]=>[4,6,7,3,1,5,8,2]
[4,8,2,7,3,5,6,1]=>[6,8,7,4,3,5,2,1]
[3,1,8,7,2,5,6,4]=>[3,7,1,6,2,5,8,4]
[3,8,1,7,2,5,6,4]=>[8,7,3,6,2,5,1,4]
[8,2,3,7,1,5,6,4]=>[7,8,2,6,1,5,3,4]
[6,4,8,7,1,3,2,5]=>[7,3,1,6,2,4,8,5]
[2,8,4,6,7,3,1,5]=>[3,2,7,8,1,4,6,5]
[4,3,8,2,7,6,1,5]=>[6,7,4,3,2,8,1,5]
[6,8,4,2,1,3,7,5]=>[2,4,1,8,7,6,3,5]
[7,8,2,4,3,5,6,1]=>[6,8,4,2,3,5,7,1]
[2,8,3,7,1,5,6,4]=>[7,2,8,6,1,5,3,4]
[8,1,2,7,3,5,6,4]=>[8,1,7,6,3,5,2,4]
[6,4,1,3,2,8,5,7]=>[4,3,1,6,8,2,5,7]
[5,3,8,6,2,1,4,7]=>[2,6,5,1,3,8,4,7]
[4,6,5,2,8,3,1,7]=>[3,8,5,4,6,1,2,7]
[4,3,7,5,1,8,2,6]=>[5,7,4,3,8,1,2,6]
[6,8,5,2,7,4,3,1]=>[3,4,7,5,8,6,2,1]
[7,2,5,4,3,8,1,6]=>[8,7,4,5,2,1,3,6]
[3,6,8,1,4,5,2,7]=>[8,5,3,1,4,6,2,7]
[6,8,1,2,4,5,3,7]=>[8,1,5,2,4,6,3,7]
[8,1,6,2,4,5,3,7]=>[8,6,5,2,4,1,3,7]
[3,8,6,1,2,5,4,7]=>[6,1,3,5,2,8,4,7]
[5,8,1,6,2,3,4,7]=>[8,6,2,3,5,1,4,7]
[4,1,6,5,8,2,3,7]=>[4,8,2,1,6,5,3,7]
[4,3,8,6,2,5,1,7]=>[5,6,4,3,2,8,1,7]
[8,3,6,1,4,5,2,7]=>[6,5,8,1,4,3,2,7]
[2,3,6,8,4,5,1,7]=>[5,2,3,8,4,6,1,7]
[2,7,5,4,3,8,1,6]=>[8,2,4,5,7,1,3,6]
[6,3,8,7,4,2,5,1]=>[5,4,7,6,3,2,8,1]
[5,8,4,3,7,6,1,2]=>[6,1,4,7,5,8,2,3]
[8,7,4,3,1,6,2,5]=>[3,4,7,6,2,1,8,5]
[1,7,4,3,8,6,2,5]=>[1,6,4,8,3,7,2,5]
[7,1,5,3,4,8,2,6]=>[7,8,5,3,1,2,4,6]
[2,8,6,1,7,4,5,3]=>[6,2,5,8,1,7,4,3]
[4,8,6,5,7,2,1,3]=>[2,7,1,4,6,8,5,3]
[4,7,6,8,2,1,5,3]=>[2,8,5,4,1,7,6,3]
[6,1,8,7,4,3,5,2]=>[6,5,4,7,3,1,8,2]
[8,5,4,3,1,6,7,2]=>[3,4,5,8,7,2,6,1]
[1,5,8,6,3,4,7,2]=>[1,7,6,3,5,8,4,2]
[2,5,8,6,3,4,7,1]=>[7,2,6,3,5,8,4,1]
[4,1,3,8,5,6,7,2]=>[4,7,1,3,8,5,6,2]
[6,5,8,4,3,1,7,2]=>[3,4,8,7,6,5,1,2]
[4,6,5,2,8,1,7,3]=>[8,5,6,4,7,3,1,2]
[7,2,8,1,3,6,4,5]=>[8,7,1,6,4,3,2,5]
[1,8,5,2,3,6,7,4]=>[1,5,2,8,7,4,6,3]
[1,8,3,2,5,6,7,4]=>[1,3,8,7,2,5,6,4]
[2,8,3,1,5,6,7,4]=>[3,2,8,7,1,5,6,4]
[4,8,3,2,5,6,7,1]=>[7,3,8,4,2,5,6,1]
[8,2,3,1,5,6,7,4]=>[3,8,2,7,1,5,6,4]
[2,1,8,3,5,6,7,4]=>[2,1,8,7,3,5,6,4]
[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]
[3,1,2,7,8,6,4,5]=>[3,1,2,6,4,8,7,5]
[7,5,1,8,2,4,3,6]=>[5,7,4,1,8,3,2,6]
[3,5,8,1,2,4,7,6]=>[8,1,3,2,5,7,4,6]
[4,5,8,1,2,3,7,6]=>[8,1,2,4,5,7,3,6]
[4,2,7,1,8,6,3,5]=>[7,4,6,2,3,8,1,5]
[3,8,4,1,2,6,7,5]=>[4,1,3,8,7,2,6,5]
[5,4,8,2,3,6,7,1]=>[7,8,2,5,4,3,6,1]
[5,8,3,6,7,4,1,2]=>[4,1,7,8,5,2,6,3]
[2,3,1,6,8,4,7,5]=>[3,2,1,8,7,6,4,5]
[2,4,3,7,1,8,5,6]=>[7,2,4,3,8,5,1,6]
[1,4,7,3,2,8,5,6]=>[1,3,7,4,8,5,2,6]
[2,7,1,4,3,8,5,6]=>[7,2,4,1,8,5,3,6]
[2,4,1,8,6,3,7,5]=>[4,2,6,1,8,7,5,3]
[8,4,1,3,6,2,7,5]=>[4,8,2,6,7,3,1,5]
[6,8,5,1,7,2,3,4]=>[5,8,1,3,7,6,2,4]
[7,3,6,5,8,2,1,4]=>[2,8,7,1,6,3,5,4]
[7,6,3,5,8,2,1,4]=>[2,8,6,1,3,7,5,4]
[4,5,8,7,3,6,1,2]=>[6,1,7,4,5,3,8,2]
[3,5,2,8,6,1,7,4]=>[6,5,3,8,2,7,4,1]
[8,2,5,6,1,4,7,3]=>[6,8,7,1,2,5,4,3]
[8,6,5,4,1,2,7,3]=>[4,1,5,6,8,7,3,2]
[2,6,1,8,3,7,5,4]=>[6,2,8,5,7,1,3,4]
[4,7,1,6,2,8,5,3]=>[7,6,5,4,8,1,2,3]
[6,1,5,3,8,7,2,4]=>[6,7,5,2,1,3,8,4]
[2,8,6,3,7,1,5,4]=>[7,2,6,5,1,8,3,4]
[7,6,1,5,8,2,3,4]=>[6,7,1,3,2,8,5,4]
[3,6,8,5,1,2,7,4]=>[5,1,3,8,7,6,4,2]
[6,5,2,4,8,1,7,3]=>[8,5,6,3,7,4,1,2]
[5,1,4,8,2,6,7,3]=>[5,8,7,1,4,2,6,3]
[4,8,2,5,1,6,7,3]=>[5,8,7,4,2,1,6,3]
[3,4,8,5,2,6,7,1]=>[7,5,3,4,8,2,6,1]
[4,2,1,8,5,6,7,3]=>[2,4,7,1,8,5,6,3]
[1,5,4,8,2,6,7,3]=>[1,8,7,5,4,2,6,3]
[7,2,1,5,8,6,3,4]=>[2,7,6,3,1,8,5,4]
[2,8,4,5,1,6,7,3]=>[5,2,7,8,4,1,6,3]
[5,4,8,3,7,6,1,2]=>[6,1,7,5,4,8,2,3]
[3,1,5,8,6,2,7,4]=>[3,6,1,8,5,7,4,2]
[6,3,4,8,5,1,7,2]=>[5,8,7,1,6,4,2,3]
[5,3,4,8,1,6,7,2]=>[8,7,5,3,4,1,6,2]
[7,6,1,2,8,3,5,4]=>[6,1,7,5,2,8,3,4]
[7,5,8,4,1,2,6,3]=>[4,1,8,6,7,3,5,2]
[7,5,8,4,6,1,3,2]=>[6,3,1,8,7,4,5,2]
[6,5,4,8,7,1,3,2]=>[7,3,1,5,6,4,8,2]
[6,5,4,8,1,2,7,3]=>[8,1,7,5,6,4,2,3]
[7,5,1,6,2,3,8,4]=>[5,7,1,6,8,2,4,3]
[7,5,1,6,8,2,4,3]=>[5,7,4,1,8,2,6,3]
[6,5,4,1,8,2,7,3]=>[4,5,6,8,7,3,1,2]
[6,5,4,7,1,2,8,3]=>[7,1,8,5,6,4,2,3]
[6,5,4,7,8,1,3,2]=>[8,3,1,5,6,4,7,2]
[6,5,3,7,1,4,2,8]=>[7,4,5,1,6,3,2,8]
[6,5,3,1,8,4,2,7]=>[3,5,4,6,8,1,2,7]
[7,5,1,4,8,3,2,6]=>[5,3,7,2,8,1,4,6]
[8,1,6,4,7,3,5,2]=>[8,5,7,6,3,1,4,2]
[7,5,1,4,8,3,6,2]=>[5,7,6,2,8,1,4,3]
[6,5,3,7,1,4,8,2]=>[7,8,5,1,6,3,4,2]
[6,4,3,1,5,8,7,2]=>[3,4,6,7,1,5,8,2]
[7,4,1,5,3,8,6,2]=>[4,7,6,5,2,8,1,3]
[8,1,5,4,3,7,6,2]=>[8,6,4,5,1,7,3,2]
[8,1,5,4,3,7,2,6]=>[8,7,4,5,1,2,3,6]
[7,4,1,5,3,8,2,6]=>[4,7,8,5,2,3,1,6]
[7,4,1,5,3,2,6,8]=>[4,3,7,5,2,1,6,8]
[8,1,5,4,3,2,6,7]=>[8,3,4,5,1,2,6,7]
[8,1,6,4,2,5,3,7]=>[8,4,6,5,3,1,2,7]
[6,5,3,1,2,7,4,8]=>[3,1,5,6,7,4,2,8]
[6,5,3,8,1,4,2,7]=>[8,4,5,1,6,3,2,7]
[7,6,8,1,4,3,2,5]=>[8,3,4,1,2,7,6,5]
[8,1,7,2,5,4,3,6]=>[8,7,4,5,2,3,1,6]
[8,1,7,2,5,4,6,3]=>[8,7,6,5,2,4,1,3]
[7,6,1,2,5,4,8,3]=>[6,1,7,5,3,8,4,2]
[6,5,3,8,1,4,7,2]=>[8,7,5,1,6,3,4,2]
[6,5,3,1,2,7,8,4]=>[3,1,5,6,8,4,7,2]
[7,5,1,4,2,6,8,3]=>[5,4,7,3,8,2,6,1]
[8,1,6,4,2,5,7,3]=>[8,4,6,7,3,1,5,2]
[7,4,1,5,3,2,8,6]=>[4,3,7,5,2,8,1,6]
[6,4,3,1,5,2,8,7]=>[3,4,6,5,1,2,8,7]
[6,4,3,1,5,7,2,8]=>[3,4,6,7,1,5,2,8]
[7,4,1,5,3,6,2,8]=>[4,7,6,5,2,1,3,8]
[8,1,5,4,3,6,2,7]=>[8,6,4,5,1,3,2,7]
[8,1,5,4,3,6,7,2]=>[8,7,4,5,1,3,6,2]
[7,4,1,5,3,6,8,2]=>[4,7,8,5,2,1,6,3]
[6,4,3,1,5,7,8,2]=>[3,4,6,8,1,5,7,2]
[6,7,3,8,4,5,1,2]=>[5,1,7,8,4,6,3,2]
[6,7,4,5,1,8,2,3]=>[5,8,2,7,4,6,1,3]
[4,7,5,6,2,3,1,8]=>[3,6,2,4,7,5,1,8]
[4,7,5,6,1,8,2,3]=>[6,8,2,4,7,5,1,3]
[4,7,5,6,3,8,1,2]=>[8,1,6,4,7,5,3,2]
[3,7,5,8,4,6,1,2]=>[6,1,3,8,7,4,5,2]
[4,5,3,8,6,7,1,2]=>[7,1,5,4,3,8,6,2]
[4,8,3,6,5,7,1,2]=>[7,1,8,4,6,3,5,2]
[5,6,4,7,1,8,2,3]=>[7,8,2,6,5,4,1,3]
[5,6,1,7,3,8,2,4]=>[6,8,7,2,5,1,3,4]
[5,6,1,8,2,7,3,4]=>[6,8,7,3,5,1,2,4]
[5,6,1,8,4,7,2,3]=>[6,7,2,8,5,1,4,3]
[4,8,1,6,5,7,2,3]=>[8,7,2,4,6,1,5,3]
[4,5,1,8,6,7,2,3]=>[5,7,2,4,1,8,6,3]
[7,8,4,5,1,6,2,3]=>[5,6,2,8,4,1,7,3]
[4,8,2,3,1,6,5,7]=>[3,8,2,4,6,1,5,7]
[5,6,2,8,1,4,3,7]=>[8,6,4,1,5,2,3,7]
[5,6,3,4,1,8,2,7]=>[4,8,6,3,5,1,2,7]
[3,6,4,5,2,7,1,8]=>[7,5,3,6,4,2,1,8]
[3,6,4,5,1,8,2,7]=>[5,8,3,6,4,1,2,7]
[2,6,4,8,1,5,3,7]=>[8,2,5,6,1,4,3,7]
[2,8,3,6,1,5,4,7]=>[6,2,8,5,1,3,4,7]
[2,8,3,4,1,6,5,7]=>[4,2,8,3,6,1,5,7]
[7,8,2,5,3,4,1,6]=>[4,8,5,3,2,1,7,6]
[7,8,1,5,3,6,2,4]=>[8,6,5,2,1,3,7,4]
[1,5,3,8,6,7,2,4]=>[1,7,5,2,3,8,6,4]
[1,8,3,6,2,7,4,5]=>[1,6,8,7,4,3,2,5]
[1,6,4,8,2,7,3,5]=>[1,8,7,6,3,4,2,5]
[2,6,4,7,3,5,1,8]=>[5,2,7,6,3,4,1,8]
[2,7,3,6,4,5,1,8]=>[5,2,7,6,4,3,1,8]
[1,7,3,6,4,8,2,5]=>[1,8,7,6,2,3,4,5]
[1,7,2,8,4,6,3,5]=>[1,7,6,8,3,4,2,5]
[1,7,5,8,4,6,2,3]=>[1,6,2,8,7,4,5,3]
[1,7,5,8,2,6,3,4]=>[1,8,6,3,7,2,5,4]
[1,7,5,6,3,8,2,4]=>[1,8,6,2,7,5,3,4]
[2,7,5,6,3,4,1,8]=>[4,2,6,3,7,5,1,8]
[6,7,2,5,3,4,1,8]=>[4,7,5,3,2,6,1,8]
[6,7,1,5,3,8,2,4]=>[7,8,5,2,1,6,3,4]
[6,7,5,8,1,4,2,3]=>[8,4,2,1,7,6,5,3]
[5,8,6,7,2,3,1,4]=>[3,7,2,1,5,8,6,4]
[6,7,2,3,1,8,4,5]=>[3,7,2,8,4,6,1,5]
[6,7,2,8,1,4,3,5]=>[8,7,4,1,3,6,2,5]
[3,4,2,7,5,6,1,8]=>[6,4,3,2,7,5,1,8]
[3,4,1,7,5,8,2,6]=>[4,8,3,1,7,2,5,6]
[2,7,5,8,1,4,3,6]=>[8,2,4,1,7,3,5,6]
[2,3,1,7,5,8,4,6]=>[3,2,1,8,7,4,5,6]
[2,3,1,8,4,7,5,6]=>[3,2,1,8,7,5,4,6]
[7,8,2,3,1,6,4,5]=>[3,8,2,6,4,1,7,5]
[7,8,2,6,1,4,3,5]=>[6,8,4,1,3,2,7,5]
[2,8,6,7,1,4,3,5]=>[7,2,4,1,3,8,6,5]
[2,8,1,4,3,7,5,6]=>[8,2,4,1,7,5,3,6]
[3,7,2,5,4,6,1,8]=>[6,7,3,5,2,4,1,8]
[4,5,2,7,3,6,1,8]=>[6,5,7,4,2,3,1,8]
[4,5,1,8,2,7,3,6]=>[5,8,7,4,1,3,2,6]
[3,4,1,8,2,7,5,6]=>[4,8,3,1,7,5,2,6]
[3,4,1,8,6,7,2,5]=>[4,7,3,1,2,8,6,5]
[3,4,2,5,1,8,6,7]=>[5,4,3,2,1,8,6,7]
[3,4,2,8,1,6,5,7]=>[8,4,3,2,6,1,5,7]
[3,8,2,5,1,6,4,7]=>[5,8,3,6,2,1,4,7]
[4,5,2,8,1,6,3,7]=>[8,5,6,4,2,1,3,7]
[4,5,3,6,1,8,2,7]=>[6,8,5,4,3,1,2,7]
[7,1,5,8,4,6,2,3]=>[7,6,2,8,1,4,5,3]
[8,6,7,1,4,2,5,3]=>[7,4,5,1,2,8,6,3]
[8,6,3,7,5,1,2,4]=>[5,1,7,3,6,8,2,4]
[8,6,1,7,3,2,5,4]=>[6,3,8,5,1,7,2,4]
[7,6,1,8,3,5,2,4]=>[6,5,7,2,1,8,3,4]
[7,6,1,3,8,5,2,4]=>[6,5,2,1,7,8,3,4]
[7,6,8,2,4,5,1,3]=>[5,8,1,2,4,7,6,3]
[7,6,2,8,3,5,1,4]=>[5,6,7,1,2,8,3,4]
[7,6,2,3,8,5,1,4]=>[5,8,1,2,6,7,3,4]
[8,7,1,5,2,6,3,4]=>[7,5,6,3,1,2,8,4]
[8,7,1,5,2,3,6,4]=>[7,5,2,6,1,3,8,4]
[8,5,2,3,1,7,6,4]=>[3,5,2,8,6,7,4,1]
[8,6,2,3,7,1,5,4]=>[7,6,2,5,1,8,3,4]
[8,6,2,7,3,1,5,4]=>[3,7,6,5,2,8,1,4]
[8,6,7,2,4,1,5,3]=>[4,7,5,2,1,8,6,3]
[6,8,7,3,4,1,5,2]=>[4,5,7,3,1,6,8,2]
[8,7,2,5,1,6,3,4]=>[5,7,6,3,2,1,8,4]
[8,7,2,1,4,6,3,5]=>[2,7,6,1,3,4,8,5]
[8,4,2,1,7,6,3,5]=>[2,4,8,6,1,7,3,5]
[8,5,2,7,1,6,3,4]=>[7,5,8,2,6,1,3,4]
[8,5,7,2,1,4,3,6]=>[2,7,4,1,8,3,5,6]
[5,8,7,3,1,4,2,6]=>[3,7,4,2,5,1,8,6]
[5,8,7,3,1,4,6,2]=>[3,7,6,2,5,4,8,1]
[8,5,7,2,1,4,6,3]=>[2,7,6,1,8,4,5,3]
[8,5,2,7,1,3,6,4]=>[7,5,1,8,6,3,4,2]
[8,4,2,1,3,7,6,5]=>[2,4,1,8,6,7,3,5]
[8,7,4,1,2,3,6,5]=>[4,1,2,7,6,3,8,5]
[8,7,4,1,2,6,3,5]=>[4,1,7,6,2,3,8,5]
[8,4,3,1,7,2,6,5]=>[3,4,8,7,6,2,1,5]
[8,4,3,1,2,7,6,5]=>[3,1,4,8,6,7,2,5]
[8,6,1,3,7,2,5,4]=>[6,8,2,5,1,7,3,4]
[8,5,1,3,2,7,6,4]=>[5,3,1,8,6,7,4,2]
[8,5,7,4,1,6,2,3]=>[4,7,1,6,8,2,5,3]
[8,5,7,4,1,2,6,3]=>[4,1,7,6,8,3,5,2]
[8,1,5,4,2,7,6,3]=>[8,4,5,6,1,7,3,2]
[8,1,6,4,7,2,5,3]=>[8,7,5,6,2,1,4,3]
[6,1,5,8,4,2,7,3]=>[6,4,8,7,1,5,3,2]
[5,8,3,6,4,1,2,7]=>[4,1,6,8,5,2,3,7]
[5,2,8,6,4,1,3,7]=>[4,6,2,5,1,8,3,7]
[8,4,7,5,1,6,2,3]=>[5,7,1,6,8,2,3,4]
[8,4,7,5,1,2,6,3]=>[5,1,7,6,8,3,2,4]
[8,4,7,5,1,2,3,6]=>[5,1,2,7,8,4,3,6]
[8,7,3,5,1,2,6,4]=>[5,1,7,6,3,2,8,4]
[8,3,2,6,5,1,4,7]=>[5,3,6,2,8,1,4,7]
[4,8,6,3,5,1,2,7]=>[5,1,6,4,3,8,2,7]
[4,8,7,3,1,5,2,6]=>[3,7,5,4,2,1,8,6]
[8,4,7,2,1,5,3,6]=>[2,7,5,8,1,3,4,6]
[8,3,2,7,1,5,4,6]=>[7,3,8,5,1,4,2,6]
[8,3,2,1,7,6,4,5]=>[2,3,8,6,4,7,1,5]
[8,7,3,1,4,2,6,5]=>[3,7,4,2,6,1,8,5]
[8,7,3,1,6,2,4,5]=>[3,7,6,1,4,2,8,5]
[8,7,3,1,2,6,4,5]=>[3,1,7,6,4,2,8,5]
[8,7,3,1,2,4,6,5]=>[3,1,7,2,6,4,8,5]
[8,3,2,1,4,7,6,5]=>[2,3,8,1,6,7,4,5]
[8,3,2,1,7,4,6,5]=>[2,3,8,7,6,4,1,5]
[8,3,2,7,1,5,6,4]=>[7,3,8,6,1,5,2,4]
[8,4,7,2,1,5,6,3]=>[2,7,6,8,1,5,4,3]
[3,8,7,4,1,2,5,6]=>[4,1,3,7,2,5,8,6]
[8,7,2,1,6,3,4,5]=>[2,7,6,3,4,1,8,5]
[8,7,2,1,3,6,4,5]=>[2,7,1,6,4,3,8,5]
[8,7,2,1,3,4,6,5]=>[2,7,1,3,6,4,8,5]
[3,6,5,4,1,2,8,7]=>[4,1,3,5,6,2,8,7]
[3,8,5,6,7,4,1,2]=>[4,1,3,7,8,5,6,2]
[4,7,5,8,6,2,1,3]=>[2,6,1,4,8,7,3,5]
[2,5,7,8,6,3,4,1]=>[4,2,6,3,5,8,7,1]
[4,8,5,7,6,3,1,2]=>[3,1,6,4,7,8,2,5]
[4,6,3,2,1,5,8,7]=>[2,3,6,4,1,5,8,7]
[6,2,1,5,3,4,8,7]=>[2,6,5,3,1,4,8,7]
[5,8,1,3,7,6,4,2]=>[8,4,1,6,5,7,3,2]
[4,7,2,3,6,1,8,5]=>[6,7,2,4,8,3,1,5]
[3,7,4,2,8,1,5,6]=>[8,4,3,7,1,5,2,6]
[4,2,6,8,5,7,3,1]=>[3,7,4,1,8,6,5,2]
[6,4,2,7,3,8,5,1]=>[5,4,8,6,7,2,1,3]
[8,1,6,7,5,3,4,2]=>[8,4,5,3,7,1,6,2]
[2,1,5,8,7,6,3,4]=>[2,1,6,3,5,7,8,4]
[2,1,4,7,6,3,8,5]=>[2,1,6,4,7,8,5,3]
[6,4,7,8,5,3,2,1]=>[2,3,5,8,6,1,7,4]
[4,1,3,7,6,2,8,5]=>[4,6,1,3,7,8,5,2]
[8,5,1,6,3,2,7,4]=>[5,3,8,6,7,2,4,1]
[6,3,7,1,5,2,8,4]=>[7,5,6,8,1,3,2,4]
[3,2,6,8,4,7,5,1]=>[5,3,2,7,8,6,1,4]
[8,4,6,1,3,2,5,7]=>[6,3,1,8,2,4,5,7]
[4,2,8,6,7,3,1,5]=>[3,7,4,1,2,8,6,5]
[7,4,3,8,2,1,5,6]=>[2,8,4,7,1,5,3,6]
[4,7,5,8,1,6,3,2]=>[8,3,6,4,7,1,5,2]
[6,4,3,2,7,8,1,5]=>[8,3,4,6,1,2,7,5]
[4,2,5,1,6,7,8,3]=>[5,4,8,2,1,6,7,3]
[2,4,8,5,7,1,3,6]=>[7,2,1,4,8,3,5,6]
[3,7,1,4,6,8,5,2]=>[7,5,3,1,8,4,6,2]
[7,8,2,5,6,1,4,3]=>[6,8,4,1,2,5,7,3]
[2,4,3,8,7,5,6,1]=>[6,2,4,3,7,5,8,1]
[2,6,7,3,5,1,8,4]=>[5,2,7,8,3,6,1,4]
[7,6,8,4,2,5,3,1]=>[3,5,4,8,1,7,6,2]
[8,5,7,1,6,3,2,4]=>[7,3,6,2,8,1,5,4]
[6,5,7,2,8,4,3,1]=>[3,4,8,7,6,5,2,1]
[3,4,8,6,5,2,1,7]=>[2,5,3,4,6,8,1,7]
[2,7,6,1,4,5,8,3]=>[6,2,7,3,4,8,5,1]
[6,5,8,2,1,7,3,4]=>[2,8,7,3,6,5,1,4]
[7,4,3,5,1,6,8,2]=>[5,8,4,7,3,1,6,2]
[4,1,6,3,5,8,7,2]=>[4,7,6,1,3,5,8,2]
[6,2,5,8,4,3,7,1]=>[7,6,4,8,2,5,3,1]
[8,6,7,1,5,4,3,2]=>[7,3,4,5,1,8,6,2]
[2,1,6,5,8,4,7,3]=>[2,1,7,8,6,5,4,3]
[2,1,6,8,5,4,3,7]=>[2,1,4,5,8,6,3,7]
[4,1,8,5,6,2,3,7]=>[4,6,2,1,8,5,3,7]
[2,6,4,8,7,3,5,1]=>[5,2,7,6,3,4,8,1]
[6,2,8,4,3,5,1,7]=>[5,6,4,8,3,2,1,7]
[4,8,2,7,6,1,3,5]=>[6,7,2,4,3,8,1,5]
[3,1,8,2,7,5,4,6]=>[3,8,1,5,7,4,2,6]
[3,8,1,2,6,7,4,5]=>[8,1,3,7,4,2,6,5]
[5,8,4,3,2,7,1,6]=>[7,3,4,8,5,1,2,6]
[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]
[5,8,4,7,2,1,3,6]=>[2,7,1,8,5,3,4,6]
[2,1,8,4,3,7,5,6]=>[2,1,4,8,7,5,3,6]
[6,3,8,2,4,5,7,1]=>[7,8,6,2,4,3,5,1]
[5,8,4,2,3,6,1,7]=>[6,4,2,8,5,3,1,7]
[5,8,2,4,3,1,6,7]=>[3,4,8,1,5,2,6,7]
[2,8,3,1,6,4,5,7]=>[3,2,8,6,4,1,5,7]
[8,2,1,3,4,7,5,6]=>[2,8,1,3,7,5,4,6]
[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]
[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]
[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]
[1,2,8,3,4,5,7,6]=>[1,2,8,3,4,7,5,6]
[1,3,8,2,6,4,5,7]=>[1,8,3,6,4,2,5,7]
[1,5,7,2,3,6,4,8]=>[1,7,2,6,5,3,4,8]
[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]
[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]
[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]
[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]
[1,7,8,2,3,6,4,5]=>[1,8,2,6,4,3,7,5]
[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]
[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]
[1,7,8,2,4,5,3,6]=>[1,8,5,2,4,3,7,6]
[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]
[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]
[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]
[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]
[1,5,2,7,8,3,6,4]=>[1,5,8,6,2,3,7,4]
[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]
[1,8,2,3,4,6,7,5]=>[1,8,2,3,7,4,6,5]
[1,7,8,2,4,3,6,5]=>[1,8,4,2,6,3,7,5]
[7,6,3,1,5,2,4,8]=>[3,6,5,1,2,7,4,8]
[6,7,3,1,5,2,8,4]=>[3,7,5,8,2,6,1,4]
[6,8,3,1,5,2,7,4]=>[3,8,5,7,2,6,1,4]
[6,8,4,5,1,2,7,3]=>[5,1,7,8,4,6,2,3]
[6,7,4,5,1,2,8,3]=>[5,1,8,7,4,6,2,3]
[7,2,1,6,5,3,4,8]=>[2,7,5,3,6,1,4,8]
[7,3,6,1,5,2,4,8]=>[6,5,7,2,1,3,4,8]
[7,4,6,5,1,2,3,8]=>[5,1,2,6,7,3,4,8]
[6,7,5,4,1,2,8,3]=>[4,1,5,7,8,6,2,3]
[5,8,6,4,1,7,2,3]=>[4,6,2,8,5,7,1,3]
[5,7,6,4,1,8,2,3]=>[4,6,2,7,5,8,1,3]
[5,6,7,4,1,8,2,3]=>[4,7,1,8,5,6,2,3]
[6,5,7,4,1,2,8,3]=>[4,1,7,8,6,5,3,2]
[6,4,7,5,1,2,8,3]=>[5,1,7,8,6,2,3,4]
[6,2,1,7,5,3,8,4]=>[2,6,5,7,8,1,4,3]
[6,3,8,1,5,2,7,4]=>[8,5,6,7,1,3,2,4]
[6,4,8,5,1,2,7,3]=>[5,1,8,7,6,2,3,4]
[6,5,8,4,1,2,7,3]=>[4,1,8,7,6,5,3,2]
[5,6,8,4,1,7,2,3]=>[4,8,1,7,5,6,2,3]
[4,6,8,5,7,1,2,3]=>[7,1,2,4,8,6,5,3]
[4,5,8,6,7,1,2,3]=>[7,1,2,4,5,8,6,3]
[5,4,8,6,1,7,2,3]=>[6,8,1,5,4,7,2,3]
[5,3,8,1,6,7,2,4]=>[8,7,5,2,3,1,6,4]
[5,2,1,8,6,7,3,4]=>[2,5,7,3,1,8,6,4]
[5,2,1,7,6,8,3,4]=>[2,5,8,3,1,7,6,4]
[5,4,7,6,1,8,2,3]=>[6,7,1,5,4,8,2,3]
[4,5,7,6,8,1,2,3]=>[8,1,2,4,5,7,6,3]
[4,6,7,5,8,1,2,3]=>[8,1,2,4,7,6,5,3]
[4,8,6,5,7,1,2,3]=>[7,1,2,4,6,8,5,3]
[4,8,5,6,7,1,2,3]=>[7,1,2,4,8,5,6,3]
[4,7,5,6,8,1,2,3]=>[8,1,2,4,7,5,6,3]
[4,6,5,7,8,1,2,3]=>[8,1,2,4,6,5,7,3]
[5,7,4,6,1,8,2,3]=>[6,8,2,7,5,4,1,3]
[5,8,4,6,1,7,2,3]=>[6,7,2,8,5,4,1,3]
[5,8,3,1,6,7,2,4]=>[3,8,7,1,5,2,6,4]
[5,7,3,1,6,8,2,4]=>[3,7,8,1,5,2,6,4]
[5,6,3,1,7,8,2,4]=>[3,6,8,1,5,2,7,4]
[6,2,1,4,3,8,7,5]=>[2,6,4,1,7,3,8,5]
[5,8,3,1,7,6,2,4]=>[3,8,6,1,5,7,2,4]
[5,7,4,8,1,6,2,3]=>[8,6,2,7,5,1,4,3]
[5,2,1,6,8,7,3,4]=>[2,5,7,3,1,6,8,4]
[5,4,6,8,1,7,2,3]=>[8,7,2,5,4,6,1,3]
[4,5,6,8,7,1,2,3]=>[7,1,2,4,5,6,8,3]
[4,7,5,8,6,1,2,3]=>[6,1,2,4,8,7,3,5]
[4,8,5,7,6,1,2,3]=>[6,1,2,4,7,8,3,5]
[4,8,6,7,5,1,2,3]=>[5,1,2,4,7,8,6,3]
[4,7,6,8,5,1,2,3]=>[5,1,2,4,8,7,6,3]
[4,6,7,8,5,1,2,3]=>[5,1,2,4,8,6,7,3]
[4,5,7,8,6,1,2,3]=>[6,1,2,4,5,8,7,3]
[5,4,7,8,1,6,2,3]=>[8,6,2,5,4,1,7,3]
[5,3,7,1,8,6,2,4]=>[7,6,5,2,3,8,1,4]
[5,2,1,7,8,6,3,4]=>[2,5,6,3,1,8,7,4]
[5,3,8,1,7,6,2,4]=>[8,6,5,2,3,7,1,4]
[5,4,8,7,1,6,2,3]=>[7,6,2,5,4,1,8,3]
[4,6,8,7,5,1,2,3]=>[5,1,2,4,7,6,8,3]
[4,7,8,6,5,1,2,3]=>[5,1,2,4,6,8,7,3]
[4,8,7,6,5,1,2,3]=>[5,1,2,4,6,7,8,3]
[2,5,4,7,3,6,1,8]=>[6,2,7,5,4,3,1,8]
[2,4,6,3,7,5,1,8]=>[5,2,7,4,6,1,3,8]
[4,2,7,3,6,5,1,8]=>[5,4,6,2,7,1,3,8]
[4,2,6,3,1,5,8,7]=>[3,6,4,1,2,5,8,7]
[2,5,3,1,6,4,8,7]=>[3,2,5,6,1,4,8,7]
[2,5,3,7,6,4,1,8]=>[4,2,6,5,1,7,3,8]
[2,6,5,3,7,4,1,8]=>[4,2,7,5,6,1,3,8]
[4,2,7,6,3,5,1,8]=>[5,4,6,2,3,7,1,8]
[2,7,5,3,6,4,1,8]=>[4,2,6,5,7,1,3,8]
[2,6,3,7,5,4,1,8]=>[4,2,5,7,6,3,1,8]
[1,7,5,2,3,8,4,6]=>[1,5,2,7,8,3,4,6]
[2,1,3,7,5,4,8,6]=>[2,1,3,5,7,8,4,6]
[2,3,1,8,6,5,4,7]=>[3,2,1,5,6,8,4,7]
[2,5,3,1,8,6,4,7]=>[3,2,5,6,1,8,4,7]
[4,2,8,3,1,6,5,7]=>[3,8,4,1,6,2,5,7]
[8,3,2,6,4,1,5,7]=>[4,3,6,8,2,1,5,7]
[3,6,8,2,1,4,5,7]=>[2,8,3,1,4,6,5,7]
[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]
[1,2,6,3,8,7,4,5]=>[1,2,6,7,4,3,8,5]
[1,2,8,3,6,4,7,5]=>[1,2,8,6,7,3,4,5]
[1,2,7,6,3,4,8,5]=>[1,2,6,3,7,8,5,4]
[2,1,3,8,7,5,4,6]=>[2,1,3,5,7,4,8,6]
[1,2,3,8,6,4,7,5]=>[1,2,3,6,8,7,5,4]
[1,2,3,7,4,8,6,5]=>[1,2,3,7,6,8,4,5]
[1,2,7,6,3,8,4,5]=>[1,2,6,7,3,8,4,5]
[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5]
[1,2,3,7,6,4,8,5]=>[1,2,3,6,7,8,5,4]
[2,6,3,1,8,5,4,7]=>[3,2,6,5,8,1,4,7]
[2,1,3,8,5,4,7,6]=>[2,1,3,5,8,7,4,6]
[7,1,8,4,2,3,5,6]=>[7,4,2,8,3,5,1,6]
[2,1,8,4,3,5,7,6]=>[2,1,4,8,3,7,5,6]
[4,2,6,3,1,8,5,7]=>[3,6,4,1,8,2,5,7]
[5,4,2,8,3,1,6,7]=>[3,8,4,5,1,2,6,7]
[3,5,8,2,4,1,6,7]=>[4,8,3,2,5,1,6,7]
[2,5,4,8,3,1,6,7]=>[3,2,8,5,4,1,6,7]
[4,2,1,8,3,5,7,6]=>[2,4,8,1,3,7,5,6]
[1,8,7,4,2,3,5,6]=>[1,4,2,7,3,5,8,6]
[1,5,2,8,7,3,4,6]=>[1,5,7,3,2,4,8,6]
[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]
[1,2,8,6,3,7,4,5]=>[1,2,6,8,3,7,4,5]
[1,2,7,3,8,6,4,5]=>[1,2,7,6,4,8,3,5]
[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5]
[1,2,7,3,4,8,6,5]=>[1,2,7,3,6,8,4,5]
[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]
[1,5,2,3,8,7,4,6]=>[1,5,2,7,3,4,8,6]
[4,2,1,8,3,7,5,6]=>[2,4,8,1,7,5,3,6]
[8,3,2,1,7,4,5,6]=>[2,3,8,7,4,5,1,6]
[1,8,4,2,7,3,5,6]=>[1,4,8,7,2,5,3,6]
[1,2,8,6,3,4,7,5]=>[1,2,6,3,8,7,5,4]
[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]
[1,2,3,8,7,4,6,5]=>[1,2,3,7,6,4,8,5]
[1,2,3,8,7,6,4,5]=>[1,2,3,6,4,7,8,5]
[2,5,3,8,1,6,4,7]=>[8,2,5,6,3,1,4,7]
[2,6,4,7,1,5,3,8]=>[7,2,5,6,1,4,3,8]
[2,6,5,7,1,4,3,8]=>[7,2,4,1,6,5,3,8]
[3,8,5,7,1,2,6,4]=>[7,1,3,6,8,2,5,4]
[3,8,5,7,2,6,4,1]=>[4,6,3,7,8,1,5,2]
[3,4,8,6,2,5,7,1]=>[7,6,3,4,2,8,5,1]
[3,4,8,6,1,2,5,7]=>[6,1,3,4,2,8,5,7]
[2,5,7,1,4,8,6,3]=>[7,2,6,1,5,8,4,3]
[2,4,8,1,5,7,6,3]=>[8,2,6,4,1,7,5,3]
[2,4,3,8,1,6,5,7]=>[8,2,4,3,6,1,5,7]
[2,8,1,7,5,6,4,3]=>[8,2,4,6,7,5,1,3]
[2,3,8,1,6,5,7,4]=>[8,2,3,7,6,1,5,4]
[2,4,8,1,3,5,7,6]=>[8,2,1,4,3,7,5,6]
[3,5,7,6,1,2,4,8]=>[6,1,3,2,5,7,4,8]
[3,5,7,6,2,4,8,1]=>[8,6,3,2,5,7,4,1]
[4,8,6,7,2,3,5,1]=>[5,7,2,4,3,8,6,1]
[4,8,6,7,1,2,3,5]=>[7,1,2,4,3,8,6,5]
[4,8,6,7,1,3,5,2]=>[7,5,1,4,3,8,6,2]
[3,4,8,6,1,5,7,2]=>[6,8,3,4,2,7,5,1]
[3,8,5,7,1,6,4,2]=>[7,4,3,6,8,1,5,2]
[3,2,8,5,6,1,7,4]=>[6,3,2,7,8,5,1,4]
[3,8,5,7,2,1,6,4]=>[2,7,3,6,8,1,5,4]
[3,4,8,6,2,1,5,7]=>[2,6,3,4,1,8,5,7]
[3,5,7,6,2,1,4,8]=>[2,6,3,1,5,7,4,8]
[4,8,6,7,2,1,3,5]=>[2,7,1,4,3,8,6,5]
[4,8,6,7,3,5,2,1]=>[2,5,7,4,3,8,6,1]
[5,8,6,7,3,4,2,1]=>[2,4,7,3,5,8,6,1]
[5,8,6,7,2,1,3,4]=>[2,7,1,3,5,8,6,4]
[5,8,6,7,2,1,4,3]=>[2,7,4,1,5,8,6,3]
[4,8,6,7,2,1,5,3]=>[2,7,5,4,1,8,6,3]
[4,3,1,7,5,2,8,6]=>[3,4,5,2,7,8,1,6]
[4,3,2,8,5,1,7,6]=>[5,3,4,2,8,7,1,6]
[4,3,8,5,1,6,7,2]=>[5,8,4,3,7,2,6,1]
[4,8,6,7,1,5,3,2]=>[7,3,5,4,1,8,6,2]
[5,8,6,7,1,4,3,2]=>[7,3,4,1,5,8,6,2]
[5,8,6,7,2,3,4,1]=>[4,7,2,3,5,8,6,1]
[5,8,6,7,2,4,3,1]=>[3,4,7,1,5,8,6,2]
[5,8,6,7,1,2,4,3]=>[7,1,4,2,5,8,6,3]
[4,2,3,8,5,1,6,7]=>[5,4,2,3,8,1,6,7]
[4,2,8,5,1,7,6,3]=>[5,4,8,2,6,7,3,1]
[3,4,2,8,5,6,1,7]=>[6,4,3,2,8,5,1,7]
[3,2,4,8,6,1,5,7]=>[6,3,2,4,1,8,5,7]
[3,2,5,7,6,1,4,8]=>[6,3,2,1,5,7,4,8]
[4,8,6,7,1,3,2,5]=>[7,3,1,4,2,8,6,5]
[4,8,6,7,1,2,5,3]=>[7,1,5,4,2,8,6,3]
[4,8,6,7,2,5,3,1]=>[3,5,7,4,1,8,6,2]
[4,3,8,5,2,6,7,1]=>[7,5,4,3,8,2,6,1]
[4,3,8,5,1,2,6,7]=>[5,1,4,3,8,2,6,7]
[4,2,6,7,5,1,3,8]=>[5,4,1,2,7,6,3,8]
[3,8,5,7,1,4,2,6]=>[7,4,3,1,8,2,5,6]
[3,8,4,7,1,5,2,6]=>[7,5,3,8,1,2,4,6]
[3,5,2,8,4,6,1,7]=>[6,5,3,8,2,4,1,7]
[3,5,1,7,4,6,2,8]=>[5,6,3,7,1,4,2,8]
[3,8,4,7,2,5,1,6]=>[5,7,3,8,2,1,4,6]
[4,1,3,8,5,2,6,7]=>[4,5,1,3,8,2,6,7]
[4,1,2,6,7,5,3,8]=>[4,1,5,2,7,6,3,8]
[4,2,6,7,5,3,8,1]=>[8,4,5,2,7,6,3,1]
[4,8,6,7,3,2,5,1]=>[5,3,7,4,2,8,6,1]
[4,8,6,7,3,1,2,5]=>[3,1,7,4,2,8,6,5]
[3,1,5,7,6,2,4,8]=>[3,6,1,2,5,7,4,8]
[3,4,1,7,5,6,2,8]=>[4,6,3,1,7,5,2,8]
[4,1,7,5,2,8,6,3]=>[4,5,7,1,6,8,3,2]
[4,1,6,7,5,2,3,8]=>[4,5,2,1,7,6,3,8]
[4,8,6,7,2,3,1,5]=>[3,7,2,4,1,8,6,5]
[5,8,6,7,3,2,4,1]=>[4,3,7,2,5,8,6,1]
[5,8,6,7,4,2,3,1]=>[3,4,2,7,5,8,6,1]
[5,8,6,7,4,1,2,3]=>[4,1,2,7,5,8,6,3]
[5,8,6,7,4,1,3,2]=>[4,3,1,7,5,8,6,2]
[5,8,6,7,3,1,4,2]=>[3,7,4,2,5,8,6,1]
[4,8,6,7,3,1,5,2]=>[3,7,5,4,2,8,6,1]
[4,1,6,7,5,3,8,2]=>[4,8,5,1,7,6,3,2]
[4,1,7,5,3,2,8,6]=>[4,3,5,1,7,8,2,6]
[4,2,8,5,3,1,7,6]=>[3,5,4,1,8,7,2,6]
[4,2,1,6,7,5,3,8]=>[2,4,5,1,7,6,3,8]
[4,8,6,7,3,2,1,5]=>[2,3,7,4,1,8,6,5]
[5,8,6,7,4,2,1,3]=>[2,4,1,7,5,8,6,3]
[5,8,6,7,4,3,1,2]=>[3,1,4,7,5,8,6,2]
[7,3,5,8,1,4,2,6]=>[8,4,7,1,3,2,5,6]
[3,8,7,6,1,4,2,5]=>[6,4,3,1,2,7,8,5]
[5,1,8,3,6,7,2,4]=>[5,7,8,2,1,3,6,4]
[1,4,7,8,5,6,2,3]=>[1,6,2,4,8,5,7,3]
[3,4,7,1,5,8,6,2]=>[7,6,3,4,1,8,5,2]
[3,6,1,4,7,8,5,2]=>[6,5,3,1,8,4,7,2]
[1,6,8,4,7,5,2,3]=>[1,5,2,7,8,6,3,4]
[6,8,1,3,5,7,2,4]=>[8,7,1,2,3,6,5,4]
[7,6,1,4,3,8,2,5]=>[6,7,4,2,1,8,3,5]
[3,8,1,6,5,4,2,7]=>[8,4,3,5,6,1,2,7]
[4,1,3,7,5,8,2,6]=>[4,8,1,3,7,2,5,6]
[6,1,7,3,8,4,2,5]=>[6,4,8,7,3,1,2,5]
[7,1,8,6,3,5,2,4]=>[7,5,6,2,3,8,1,4]
[3,1,7,6,5,8,4,2]=>[3,4,1,8,6,7,5,2]
[8,2,7,6,5,3,4,1]=>[4,8,5,3,6,7,2,1]
[8,4,2,6,7,5,3,1]=>[3,5,4,7,8,2,6,1]
[4,8,1,6,7,5,3,2]=>[8,3,5,4,7,1,6,2]
[7,4,1,6,8,2,5,3]=>[4,7,8,5,3,2,6,1]
[1,3,8,6,2,7,5,4]=>[1,6,3,5,8,7,4,2]
[6,1,3,2,7,8,4,5]=>[6,3,1,8,4,2,7,5]
[1,8,6,2,5,3,4,7]=>[1,6,5,3,2,8,4,7]
[4,7,2,6,8,1,5,3]=>[8,7,5,4,1,2,6,3]
[8,7,3,6,4,5,2,1]=>[2,5,7,6,4,3,8,1]
[5,7,8,6,2,1,4,3]=>[2,6,4,1,5,8,7,3]
[2,7,4,1,6,8,3,5]=>[4,2,7,8,1,3,6,5]
[3,7,2,4,5,1,6,8]=>[5,7,3,2,4,1,6,8]
[1,8,6,4,5,2,3,7]=>[1,5,2,6,4,8,3,7]
[2,8,4,6,5,1,3,7]=>[5,2,1,6,8,3,4,7]
[3,4,1,7,5,2,6,8]=>[4,5,3,1,7,2,6,8]
[7,5,8,6,1,2,4,3]=>[6,1,4,2,8,7,3,5]
[5,6,8,7,3,1,4,2]=>[3,7,4,2,5,6,8,1]
[2,5,4,3,6,8,1,7]=>[8,2,4,5,3,6,1,7]
[3,8,5,4,6,2,1,7]=>[2,6,3,5,8,4,1,7]
[4,8,2,1,3,7,5,6]=>[2,8,1,4,7,5,3,6]
[6,4,1,2,7,5,8,3]=>[4,1,6,8,7,3,5,2]
[4,1,8,3,6,7,5,2]=>[4,5,7,1,8,2,6,3]
[8,3,7,4,5,2,6,1]=>[6,5,8,7,4,2,3,1]
[4,3,7,8,5,1,6,2]=>[5,8,4,3,6,2,7,1]
[5,4,8,2,7,6,1,3]=>[6,7,2,5,4,8,1,3]
[1,2,7,3,6,5,8,4]=>[1,2,7,8,6,3,5,4]
[2,8,7,6,3,4,1,5]=>[4,2,6,3,1,7,8,5]
[5,8,2,6,3,4,1,7]=>[4,8,6,3,5,2,1,7]
[4,1,7,5,8,6,2,3]=>[4,6,2,1,8,7,3,5]
[5,1,7,8,4,3,6,2]=>[5,6,4,8,1,3,7,2]
[8,2,7,5,4,3,6,1]=>[6,8,4,5,7,3,2,1]
[6,3,8,1,4,7,5,2]=>[8,5,7,1,6,2,4,3]
[3,8,4,5,6,1,2,7]=>[6,1,3,8,4,5,2,7]
[1,4,3,5,7,8,2,6]=>[1,8,4,3,5,2,7,6]
[6,5,8,7,1,3,4,2]=>[7,4,1,3,6,5,8,2]
[3,6,7,2,4,8,1,5]=>[8,7,3,2,1,6,4,5]
[1,5,2,7,4,3,8,6]=>[1,5,4,7,2,8,3,6]
[2,8,5,6,4,3,1,7]=>[3,2,4,6,8,5,1,7]
[1,8,6,5,4,3,2,7]=>[1,3,4,5,6,8,2,7]
[6,1,5,2,8,4,7,3]=>[6,5,7,8,1,2,4,3]
[4,6,1,8,5,7,2,3]=>[6,7,2,4,8,1,5,3]
[4,7,1,2,8,5,6,3]=>[7,1,6,4,8,5,2,3]
[1,4,7,2,8,5,6,3]=>[1,7,6,4,8,5,2,3]
[1,7,3,5,8,6,2,4]=>[1,6,8,3,2,7,5,4]
[7,3,5,8,6,1,2,4]=>[6,1,8,3,2,7,5,4]
[3,6,8,1,5,7,2,4]=>[8,7,3,2,1,6,5,4]
[3,4,6,5,8,1,7,2]=>[8,7,3,4,6,5,1,2]
[6,8,1,5,7,2,3,4]=>[8,7,2,3,1,6,5,4]
[7,1,2,5,8,6,3,4]=>[7,1,6,3,2,8,5,4]
[1,7,2,5,8,6,3,4]=>[1,7,6,3,2,8,5,4]
[1,7,6,8,2,3,5,4]=>[1,8,2,5,3,7,6,4]
[7,6,8,1,2,3,5,4]=>[8,1,2,5,3,7,6,4]
[2,7,1,5,8,6,3,4]=>[7,2,6,3,1,8,5,4]
[2,4,7,1,8,5,6,3]=>[7,2,6,4,8,5,1,3]
[4,7,5,8,3,1,6,2]=>[3,8,6,4,7,2,5,1]
[4,7,2,1,8,5,6,3]=>[2,7,6,4,8,5,1,3]
[7,6,8,2,1,3,5,4]=>[2,8,1,5,3,7,6,4]
[1,2,7,6,8,3,5,4]=>[1,2,8,5,3,7,6,4]
[3,7,6,8,2,1,5,4]=>[2,8,3,5,1,7,6,4]
[7,4,2,1,6,8,5,3]=>[2,4,7,5,8,3,6,1]
[6,7,4,1,8,5,3,2]=>[4,3,7,5,8,6,2,1]
[6,7,4,3,1,8,5,2]=>[3,4,7,5,8,6,1,2]
[2,7,4,1,6,8,5,3]=>[4,2,7,5,8,3,6,1]
[2,3,7,6,8,1,5,4]=>[8,2,3,5,1,7,6,4]
[7,4,2,6,8,5,1,3]=>[5,4,2,8,7,1,6,3]
[7,3,2,5,8,6,1,4]=>[6,3,8,2,1,7,5,4]
[3,1,7,6,8,2,5,4]=>[3,8,1,5,2,7,6,4]
[3,7,6,8,1,2,5,4]=>[8,1,3,5,2,7,6,4]
[1,3,7,6,8,2,5,4]=>[1,8,3,5,2,7,6,4]
[1,7,4,2,6,8,5,3]=>[1,4,7,5,8,3,6,2]
[7,4,1,2,6,8,5,3]=>[4,1,7,5,8,3,6,2]
[7,1,4,2,8,5,6,3]=>[7,4,6,1,8,5,2,3]
[7,1,8,2,5,4,6,3]=>[7,8,6,5,2,4,1,3]
[7,3,8,4,6,1,5,2]=>[6,5,7,8,1,4,3,2]
[7,2,8,1,6,4,5,3]=>[8,7,5,6,4,1,2,3]
[7,1,6,8,5,4,2,3]=>[7,4,2,5,8,1,6,3]
[7,1,2,6,8,5,4,3]=>[7,1,4,5,8,2,6,3]
[1,7,2,6,8,5,4,3]=>[1,7,4,5,8,2,6,3]
[1,7,6,8,3,2,5,4]=>[1,3,8,5,2,7,6,4]
[7,6,8,3,1,2,5,4]=>[3,1,8,5,2,7,6,4]
[7,1,5,8,6,3,2,4]=>[7,3,6,2,1,8,5,4]
[7,2,5,8,6,3,1,4]=>[3,6,8,1,2,7,5,4]
[3,6,7,1,8,5,4,2]=>[7,4,3,5,8,6,1,2]
[7,2,6,8,5,4,1,3]=>[4,5,1,8,7,2,6,3]
[7,6,8,2,3,1,5,4]=>[3,8,2,5,1,7,6,4]
[2,7,6,8,3,1,5,4]=>[3,2,8,5,1,7,6,4]
[2,7,1,6,8,5,4,3]=>[7,2,4,5,8,1,6,3]
[6,7,3,1,8,5,4,2]=>[3,7,4,5,8,6,2,1]
[6,7,1,8,5,4,3,2]=>[7,3,4,5,8,6,1,2]
[7,2,1,6,8,5,4,3]=>[2,7,4,5,8,1,6,3]
[7,6,8,3,2,1,5,4]=>[2,3,8,5,1,7,6,4]
[4,7,8,5,6,1,3,2]=>[6,3,1,4,8,5,7,2]
[4,6,5,8,7,1,3,2]=>[7,3,1,4,6,5,8,2]
[5,6,4,8,1,2,7,3]=>[8,1,7,6,5,4,2,3]
[8,1,5,6,7,2,4,3]=>[8,7,4,2,1,5,6,3]
[6,4,5,1,8,2,7,3]=>[5,8,7,6,4,1,2,3]
[5,4,6,7,1,2,8,3]=>[7,1,8,5,4,6,2,3]
[4,3,6,7,2,1,5,8]=>[2,7,4,3,1,6,5,8]
[5,3,6,7,1,4,2,8]=>[7,4,5,1,3,6,2,8]
[8,1,4,6,7,3,2,5]=>[8,3,7,1,2,4,6,5]
[8,1,3,6,7,4,5,2]=>[8,5,1,7,4,3,6,2]
[7,2,1,6,8,4,5,3]=>[2,7,5,8,4,1,6,3]
[5,2,6,7,1,4,8,3]=>[7,5,8,1,2,6,4,3]
[4,2,6,7,3,1,8,5]=>[3,7,4,1,8,6,2,5]
[6,2,4,1,5,8,7,3]=>[4,6,7,2,1,5,8,3]
[7,2,1,5,4,8,6,3]=>[2,7,6,5,1,8,4,3]
[8,1,4,5,3,7,2,6]=>[8,7,5,1,4,2,3,6]
[7,3,1,5,4,8,2,6]=>[3,7,8,5,2,1,4,6]
[6,3,4,1,5,8,2,7]=>[4,8,6,3,1,5,2,7]
[5,3,4,2,1,8,6,7]=>[2,4,5,3,1,8,6,7]
[4,3,5,2,7,1,6,8]=>[7,5,4,3,2,1,6,8]
[5,6,3,8,1,4,2,7]=>[8,4,6,1,5,3,2,7]
[8,1,7,2,4,5,6,3]=>[8,7,6,2,4,5,1,3]
[7,6,1,2,4,5,8,3]=>[6,1,7,3,4,8,5,2]
[4,7,8,2,3,1,6,5]=>[3,8,2,4,6,1,7,5]
[5,6,2,8,1,4,7,3]=>[8,6,7,1,5,2,4,3]
[6,5,2,1,3,7,8,4]=>[2,5,1,6,8,4,7,3]
[7,5,1,3,2,6,8,4]=>[5,3,1,7,8,4,6,2]
[8,1,6,3,2,5,7,4]=>[8,3,6,7,2,1,5,4]
[7,4,1,3,5,2,8,6]=>[4,7,2,5,3,8,1,6]
[5,4,2,3,1,6,8,7]=>[3,4,2,5,1,6,8,7]
[7,3,1,4,5,6,2,8]=>[3,7,6,2,4,5,1,8]
[8,1,4,3,5,6,2,7]=>[8,6,4,1,3,5,2,7]
[6,2,3,1,5,7,8,4]=>[3,6,2,8,1,5,7,4]
[7,8,4,2,1,6,5,3]=>[2,4,8,5,6,3,7,1]
[7,8,4,2,1,5,6,3]=>[2,4,8,6,3,5,7,1]
[6,2,3,4,8,7,1,5]=>[7,6,2,3,1,4,8,5]
[6,2,3,4,7,8,1,5]=>[8,6,2,3,1,4,7,5]
[7,8,3,4,6,2,1,5]=>[2,6,8,3,1,4,7,5]
[7,8,3,6,4,2,1,5]=>[2,4,6,8,3,1,7,5]
[7,8,3,5,6,2,1,4]=>[2,6,8,1,3,5,7,4]
[6,2,3,8,7,5,1,4]=>[5,7,1,2,6,3,8,4]
[6,2,3,7,8,5,1,4]=>[5,8,1,2,6,3,7,4]
[5,2,6,3,8,1,7,4]=>[8,5,6,7,2,3,1,4]
[6,3,2,5,8,7,1,4]=>[7,3,6,1,2,5,8,4]
[6,3,2,8,4,7,1,5]=>[7,3,6,8,1,2,4,5]
[6,4,3,8,7,5,1,2]=>[5,1,4,7,6,2,8,3]
[6,4,3,7,8,5,1,2]=>[5,1,4,8,6,2,7,3]
[6,2,4,1,7,3,5,8]=>[4,6,7,2,3,1,5,8]
[6,3,2,7,4,8,1,5]=>[8,3,6,7,1,2,4,5]
[6,3,2,5,7,8,1,4]=>[8,3,6,1,2,5,7,4]
[5,7,2,3,6,1,8,4]=>[6,7,2,8,5,3,1,4]
[5,8,2,3,6,1,7,4]=>[6,8,2,7,5,3,1,4]
[4,7,5,8,3,2,1,6]=>[2,3,8,4,7,1,5,6]
[4,5,6,8,3,2,1,7]=>[2,3,8,4,5,6,1,7]
[4,6,8,5,3,2,1,7]=>[2,3,5,4,8,6,1,7]
[5,6,1,4,2,3,7,8]=>[6,4,2,1,5,3,7,8]
[5,6,8,4,3,7,1,2]=>[7,1,4,8,5,6,3,2]
[5,6,1,4,2,3,8,7]=>[6,4,2,1,5,3,8,7]
[5,2,8,3,4,1,7,6]=>[4,5,8,3,2,7,1,6]
[4,5,8,6,3,2,1,7]=>[2,3,6,4,5,8,1,7]
[4,6,5,8,3,2,1,7]=>[2,3,8,4,6,5,1,7]
[4,7,5,6,3,2,1,8]=>[2,3,6,4,7,5,1,8]
[6,2,3,4,5,8,1,7]=>[8,6,2,3,4,5,1,7]
[5,1,4,3,6,2,8,7]=>[5,6,4,1,3,2,8,7]
[5,1,4,3,7,2,8,6]=>[5,7,4,1,3,8,2,6]
[5,1,4,3,8,2,7,6]=>[5,8,4,1,3,7,2,6]
[5,6,2,4,1,7,8,3]=>[4,6,8,2,5,1,7,3]
[5,6,2,4,1,8,7,3]=>[4,6,7,2,5,1,8,3]
[5,7,2,4,1,8,6,3]=>[4,7,6,2,5,8,1,3]
[6,1,4,2,8,7,5,3]=>[6,4,5,1,7,2,8,3]
[6,1,4,2,7,8,5,3]=>[6,4,5,1,8,2,7,3]
[5,8,2,4,1,7,6,3]=>[4,8,6,2,5,7,1,3]
[5,2,7,4,1,6,8,3]=>[4,7,5,8,3,2,6,1]
[5,4,1,3,7,2,6,8]=>[4,5,2,7,3,1,6,8]
[5,1,4,3,6,2,7,8]=>[5,6,4,1,3,2,7,8]
[5,8,6,4,3,7,1,2]=>[7,1,4,6,5,8,3,2]
[5,8,1,4,2,3,7,6]=>[8,4,2,1,5,7,3,6]
[5,1,6,3,4,2,7,8]=>[5,4,6,3,1,2,7,8]
[4,8,6,5,3,2,1,7]=>[2,3,5,4,6,8,1,7]
[4,8,5,6,3,2,1,7]=>[2,3,6,4,8,5,1,7]
[5,4,7,8,3,2,1,6]=>[2,3,8,5,4,1,7,6]
[5,4,8,7,3,2,1,6]=>[2,3,7,5,4,1,8,6]
[4,6,8,7,3,2,1,5]=>[2,3,7,4,1,6,8,5]
[4,6,7,8,3,2,1,5]=>[2,3,8,4,1,6,7,5]
[4,7,6,8,3,2,1,5]=>[2,3,8,4,1,7,6,5]
[4,7,8,5,3,2,1,6]=>[2,3,5,4,8,1,7,6]
[5,7,1,3,4,2,6,8]=>[7,4,1,3,5,2,6,8]
[5,1,8,4,2,3,6,7]=>[5,4,2,8,1,3,6,7]
[5,1,7,4,2,3,6,8]=>[5,4,2,7,1,3,6,8]
[5,8,1,3,4,2,6,7]=>[8,4,1,3,5,2,6,7]
[4,8,7,5,3,2,1,6]=>[2,3,5,4,7,1,8,6]
[4,7,8,6,3,2,1,5]=>[2,3,6,4,1,8,7,5]
[4,8,7,6,3,2,1,5]=>[2,3,6,4,1,7,8,5]
[4,8,2,6,3,7,5,1]=>[5,7,8,4,6,3,1,2]
[4,8,2,3,6,7,5,1]=>[5,7,1,4,8,3,6,2]
[4,8,3,1,6,7,5,2]=>[3,8,5,4,7,2,6,1]
[4,3,8,1,6,2,5,7]=>[8,6,4,3,2,1,5,7]
[1,4,8,7,3,5,2,6]=>[1,5,7,4,3,2,8,6]
[4,3,8,7,2,5,1,6]=>[5,7,4,3,2,1,8,6]
[5,8,4,3,7,1,6,2]=>[7,6,4,8,5,1,3,2]
[5,8,1,4,7,2,6,3]=>[8,7,6,1,5,2,4,3]
[5,8,1,7,4,2,3,6]=>[8,4,2,7,5,3,1,6]
[6,8,1,2,4,3,5,7]=>[8,1,4,2,3,6,5,7]
[5,8,7,1,3,4,2,6]=>[7,4,1,3,5,2,8,6]
[4,8,7,6,3,1,2,5]=>[3,1,6,4,2,7,8,5]
[5,8,4,7,3,1,2,6]=>[3,1,7,8,5,2,4,6]
[4,3,8,2,7,5,6,1]=>[6,8,4,3,7,5,2,1]
[1,4,8,3,7,5,6,2]=>[1,6,8,4,7,5,3,2]
[1,4,3,8,2,6,5,7]=>[1,8,4,3,6,2,5,7]
[4,3,2,8,1,6,5,7]=>[8,3,4,2,6,1,5,7]
[4,1,3,8,2,6,5,7]=>[4,8,1,3,6,2,5,7]
[4,1,8,3,7,5,6,2]=>[4,6,8,1,7,5,3,2]
[4,1,8,7,3,5,2,6]=>[4,5,7,1,3,2,8,6]
[3,7,8,1,5,4,2,6]=>[8,4,3,5,1,2,7,6]
[7,3,8,1,5,4,6,2]=>[8,6,7,5,1,4,3,2]
[3,4,8,1,6,2,5,7]=>[8,6,3,4,2,1,5,7]
[3,4,8,7,2,5,1,6]=>[5,7,3,4,2,1,8,6]
[3,4,8,2,7,5,6,1]=>[6,8,3,4,7,5,2,1]
[1,2,4,8,3,6,5,7]=>[1,2,8,4,6,3,5,7]
[1,2,4,3,8,6,5,7]=>[1,2,4,3,6,8,5,7]
[3,4,2,1,8,6,5,7]=>[2,4,3,1,6,8,5,7]
[3,4,1,8,2,6,5,7]=>[4,8,3,1,6,2,5,7]
[3,6,7,8,4,1,2,5]=>[4,1,3,8,2,6,7,5]
[4,1,7,8,5,3,2,6]=>[4,3,5,1,8,2,7,6]
[4,1,2,8,3,6,5,7]=>[4,1,8,2,6,3,5,7]
[1,4,3,2,8,6,5,7]=>[1,3,4,2,6,8,5,7]
[4,2,3,1,8,6,5,7]=>[3,4,2,1,6,8,5,7]
[3,7,6,8,4,2,1,5]=>[2,4,3,8,1,7,6,5]
[4,7,1,8,5,2,3,6]=>[7,5,2,4,8,3,1,6]
[2,6,8,7,4,3,1,5]=>[3,2,4,7,1,6,8,5]
[3,7,8,6,2,4,1,5]=>[4,6,3,2,1,8,7,5]
[3,7,8,2,6,4,5,1]=>[5,8,3,6,4,2,7,1]
[4,2,3,8,1,6,5,7]=>[8,4,2,3,6,1,5,7]
[4,3,1,8,2,6,5,7]=>[3,4,8,2,6,1,5,7]
[1,4,7,8,5,3,2,6]=>[1,3,5,4,8,2,7,6]
[4,3,7,8,5,2,1,6]=>[2,5,4,3,8,1,7,6]
[3,7,2,8,4,6,5,1]=>[5,6,3,7,8,1,4,2]
[4,2,8,6,3,1,5,7]=>[3,6,4,1,2,8,5,7]
[2,6,8,4,7,3,1,5]=>[3,2,7,8,1,6,4,5]
[2,4,8,6,3,1,5,7]=>[3,2,6,4,1,8,5,7]
[7,3,6,8,4,2,1,5]=>[2,4,8,7,3,1,6,5]
[7,6,2,8,3,5,4,1]=>[4,5,6,7,3,8,1,2]
[1,7,3,8,4,6,5,2]=>[1,5,6,7,8,2,4,3]
[1,3,4,8,2,6,5,7]=>[1,8,3,4,6,2,5,7]
[3,2,4,8,1,6,5,7]=>[8,3,2,4,6,1,5,7]
[7,3,8,6,2,4,1,5]=>[4,6,8,3,1,7,2,5]
[7,3,8,2,6,4,5,1]=>[5,8,7,6,4,2,3,1]
[2,4,8,3,6,1,5,7]=>[6,2,8,4,1,3,5,7]
[6,2,8,7,4,3,5,1]=>[5,6,4,7,3,2,8,1]
[7,4,1,8,5,2,6,3]=>[4,7,5,8,6,1,2,3]
[7,3,2,8,4,6,5,1]=>[5,3,6,7,8,1,4,2]
[2,4,3,1,8,6,5,7]=>[3,2,4,1,6,8,5,7]
[1,3,4,2,8,6,5,7]=>[1,4,3,2,6,8,5,7]
[1,3,2,4,8,6,5,7]=>[1,3,2,4,6,8,5,7]
[3,2,1,4,8,6,5,7]=>[2,3,1,4,6,8,5,7]
[3,1,2,4,8,6,5,7]=>[3,1,2,4,6,8,5,7]
[3,1,4,2,8,6,5,7]=>[3,4,1,2,6,8,5,7]
[3,1,4,8,2,6,5,7]=>[3,8,1,4,6,2,5,7]
[7,3,4,8,5,1,6,2]=>[5,8,6,1,7,2,4,3]
[3,7,4,8,5,1,2,6]=>[5,1,3,8,7,4,2,6]
[6,7,2,8,3,5,4,1]=>[4,5,7,8,1,6,3,2]
[2,3,1,4,8,6,5,7]=>[3,2,1,4,6,8,5,7]
[2,1,3,4,8,6,5,7]=>[2,1,3,4,6,8,5,7]
[1,2,3,4,8,6,5,7]=>[1,2,3,4,6,8,5,7]
[4,8,3,6,2,1,5,7]=>[2,6,8,4,1,3,5,7]
[3,5,8,2,6,1,4,7]=>[6,8,3,1,5,2,4,7]
[3,6,5,8,2,4,1,7]=>[4,8,3,2,6,5,1,7]
[5,3,8,7,2,4,6,1]=>[6,7,5,2,3,4,8,1]
[2,8,4,5,7,3,6,1]=>[6,2,7,8,4,3,5,1]
[2,4,5,7,3,8,1,6]=>[8,2,7,4,5,1,3,6]
[6,2,4,5,8,3,1,7]=>[3,8,6,1,4,5,2,7]
[4,8,1,2,5,6,3,7]=>[8,1,6,4,2,5,3,7]
[8,1,3,5,2,6,4,7]=>[8,5,1,6,3,2,4,7]
[5,2,1,6,3,8,4,7]=>[2,5,6,8,1,3,4,7]
[6,2,5,1,8,4,3,7]=>[5,6,4,8,2,1,3,7]
[3,6,1,5,8,4,2,7]=>[6,4,3,8,1,5,2,7]
[6,1,4,5,8,3,2,7]=>[6,3,8,1,4,5,2,7]
[5,6,4,8,1,3,2,7]=>[8,3,1,6,5,4,2,7]
[6,5,4,3,8,2,1,7]=>[2,8,4,5,6,3,1,7]
[5,4,3,7,2,8,1,6]=>[8,7,4,5,3,1,2,6]
[5,8,4,3,7,2,6,1]=>[6,7,4,8,5,2,3,1]
[4,6,8,3,7,2,5,1]=>[5,7,8,4,2,6,3,1]
[7,4,6,3,2,8,1,5]=>[8,3,6,7,1,4,2,5]
[1,4,3,6,2,7,8,5]=>[1,6,4,3,8,2,7,5]
[1,5,4,3,7,2,8,6]=>[1,7,4,5,3,8,2,6]
[4,7,8,5,3,1,2,6]=>[3,1,5,4,8,2,7,6]
[5,7,3,4,1,2,8,6]=>[4,1,7,3,5,8,2,6]
[8,5,4,7,6,2,1,3]=>[2,6,1,5,7,8,3,4]
[8,5,7,4,3,6,1,2]=>[6,1,4,7,8,3,5,2]
[4,3,8,1,6,7,5,2]=>[8,5,4,3,7,1,6,2]
[4,7,8,3,6,1,5,2]=>[6,5,8,4,1,3,7,2]
[5,3,8,6,7,4,1,2]=>[4,1,7,5,2,8,6,3]
[1,3,8,6,4,7,5,2]=>[1,5,3,7,6,8,2,4]
[8,6,2,7,4,1,5,3]=>[4,7,6,5,2,8,3,1]
[7,6,2,1,4,3,8,5]=>[2,6,4,1,7,8,5,3]
[7,6,1,3,4,2,8,5]=>[6,4,1,3,7,8,5,2]
[1,5,7,3,2,6,8,4]=>[1,3,7,8,5,2,6,4]
[1,6,7,3,2,5,8,4]=>[1,3,7,8,2,6,5,4]
[3,2,6,8,5,7,4,1]=>[4,3,2,7,8,6,5,1]
[5,8,2,3,6,7,4,1]=>[4,7,1,8,5,3,6,2]
[7,5,2,3,1,6,8,4]=>[3,5,2,7,8,4,6,1]
[1,6,4,7,2,3,8,5]=>[1,7,2,6,8,4,3,5]
[3,1,7,5,2,8,4,6]=>[3,5,1,7,8,2,4,6]
[2,5,7,4,1,8,3,6]=>[4,2,7,8,5,1,3,6]
[4,2,6,1,7,8,3,5]=>[6,4,8,2,3,1,7,5]
[4,2,7,6,3,8,1,5]=>[8,4,6,2,1,7,3,5]
[6,4,8,7,2,3,5,1]=>[5,7,2,6,3,4,8,1]
[3,2,6,8,7,4,5,1]=>[5,3,2,7,4,6,8,1]
[3,2,7,4,1,6,8,5]=>[4,3,2,7,8,1,6,5]
[6,3,2,1,7,8,4,5]=>[2,3,6,8,4,1,7,5]
[3,7,1,8,4,2,5,6]=>[7,4,3,8,2,5,1,6]
[4,2,1,3,7,5,8,6]=>[2,4,1,3,7,8,5,6]
[8,1,3,7,4,2,6,5]=>[8,4,1,7,6,2,3,5]
[8,4,3,7,6,2,1,5]=>[2,6,4,7,3,8,1,5]
[8,3,5,2,7,6,1,4]=>[6,5,7,3,1,8,2,4]
[3,6,2,8,7,1,5,4]=>[7,6,3,5,1,2,8,4]
[7,3,2,8,1,6,5,4]=>[8,3,7,5,6,1,2,4]
[3,8,7,2,6,5,4,1]=>[4,5,3,6,7,2,8,1]
[4,2,7,8,6,1,5,3]=>[6,4,5,2,1,8,7,3]
[6,8,2,4,7,1,5,3]=>[7,8,5,2,1,6,4,3]
[5,2,1,8,7,3,6,4]=>[2,5,7,6,1,3,8,4]
[8,2,1,6,3,7,5,4]=>[2,8,6,5,7,1,3,4]
[6,8,3,1,7,5,2,4]=>[3,8,5,1,7,6,2,4]
[5,8,1,6,7,2,4,3]=>[8,7,4,2,5,1,6,3]
[6,2,8,1,5,7,4,3]=>[8,6,4,7,1,2,5,3]
[5,7,8,2,6,1,4,3]=>[6,8,4,1,5,2,7,3]
[8,7,2,5,6,4,3,1]=>[3,4,6,7,2,5,8,1]
[8,6,7,5,2,4,3,1]=>[3,4,5,1,7,8,6,2]
[7,2,6,8,1,5,4,3]=>[8,7,4,5,1,2,6,3]
[1,2,7,8,5,6,4,3]=>[1,2,4,6,8,5,7,3]
[7,4,8,1,6,2,5,3]=>[8,6,5,7,2,1,4,3]
[3,7,1,8,2,6,5,4]=>[7,8,3,5,6,2,1,4]
[2,1,7,3,8,6,5,4]=>[2,1,7,5,6,8,3,4]
[8,2,1,7,6,5,4,3]=>[2,8,4,5,6,7,1,3]
[8,1,4,7,6,5,3,2]=>[8,3,5,1,6,7,4,2]
[8,6,7,5,1,4,3,2]=>[5,3,4,1,7,8,6,2]
[7,8,6,5,4,1,3,2]=>[4,3,1,5,6,8,7,2]
[5,8,4,3,2,1,6,7]=>[2,3,4,8,5,1,6,7]
[6,4,7,3,2,1,8,5]=>[2,3,7,6,8,4,1,5]
[5,4,7,3,2,1,6,8]=>[2,3,7,5,4,1,6,8]
[6,5,3,7,2,1,4,8]=>[2,7,5,1,6,3,4,8]
[5,8,3,6,2,1,4,7]=>[2,6,8,1,5,3,4,7]
[6,3,7,8,2,1,4,5]=>[2,8,6,1,4,3,7,5]
[5,3,7,6,2,1,4,8]=>[2,6,5,1,3,7,4,8]
[3,8,7,6,2,1,4,5]=>[2,6,3,1,4,7,8,5]
[5,8,4,2,6,1,3,7]=>[6,4,1,8,5,2,3,7]
[4,8,7,2,5,1,3,6]=>[5,7,1,4,2,3,8,6]
[5,8,3,2,6,1,4,7]=>[6,3,8,1,5,2,4,7]
[4,8,3,2,5,1,7,6]=>[5,3,8,4,2,7,1,6]
[4,3,7,2,5,1,8,6]=>[5,7,4,3,2,8,1,6]
[3,8,7,2,5,1,4,6]=>[5,7,3,1,2,4,8,6]
[6,4,2,7,5,1,3,8]=>[5,4,2,7,6,1,3,8]
[6,3,2,7,5,1,4,8]=>[5,3,7,2,6,1,4,8]
[5,3,2,6,7,1,4,8]=>[7,3,5,1,2,6,4,8]
[3,8,2,6,5,1,4,7]=>[5,6,3,2,8,1,4,7]
[6,2,7,8,5,1,3,4]=>[5,8,2,3,6,1,7,4]
[5,2,7,6,8,1,3,4]=>[8,5,1,3,2,7,6,4]
[4,2,7,6,5,1,3,8]=>[5,4,1,2,6,7,3,8]
[2,8,7,6,5,1,3,4]=>[5,2,1,3,6,7,8,4]
[6,5,4,3,1,7,8,2]=>[3,4,5,6,8,2,7,1]
[6,4,7,3,1,5,8,2]=>[3,7,8,6,2,4,5,1]
[5,4,7,3,1,8,6,2]=>[3,7,6,5,4,8,2,1]
[6,4,3,7,1,5,8,2]=>[7,8,4,6,1,3,5,2]
[5,4,3,6,1,8,7,2]=>[6,7,4,5,3,1,8,2]
[6,3,7,8,1,4,5,2]=>[8,5,6,1,4,3,7,2]
[5,3,7,6,1,4,8,2]=>[6,7,5,2,3,8,4,1]
[4,3,7,6,1,5,8,2]=>[6,7,4,3,2,8,5,1]
[3,8,7,6,1,4,5,2]=>[6,5,3,1,4,7,8,2]
[6,5,4,2,1,7,3,8]=>[2,4,5,6,7,1,3,8]
[6,4,7,2,1,5,3,8]=>[2,7,5,6,1,4,3,8]
[4,8,7,2,1,5,3,6]=>[2,7,5,4,1,3,8,6]
[5,8,3,2,1,4,7,6]=>[2,3,8,1,5,7,4,6]
[4,8,3,2,1,5,7,6]=>[2,3,8,4,1,7,5,6]
[5,3,7,2,1,4,8,6]=>[2,7,5,1,3,8,4,6]
[3,8,7,2,1,4,5,6]=>[2,7,3,1,4,5,8,6]
[6,5,2,7,1,4,3,8]=>[7,5,4,1,6,2,3,8]
[5,8,2,6,1,4,3,7]=>[6,8,4,1,5,2,3,7]
[6,4,2,7,1,5,3,8]=>[7,4,6,5,1,3,2,8]
[5,4,2,6,1,8,3,7]=>[6,4,5,8,3,1,2,7]
[4,3,2,6,1,5,8,7]=>[6,3,4,2,1,5,8,7]
[6,2,7,8,1,4,3,5]=>[8,6,4,1,3,2,7,5]
[4,2,7,6,1,5,3,8]=>[6,4,5,2,1,7,3,8]
[3,2,7,6,1,4,5,8]=>[6,3,2,1,4,7,5,8]
[6,5,4,1,8,7,3,2]=>[4,3,5,6,7,1,8,2]
[5,8,4,1,6,7,3,2]=>[4,3,8,7,5,2,6,1]
[6,4,7,1,5,8,3,2]=>[7,3,8,6,1,4,5,2]
[5,4,7,1,6,8,3,2]=>[7,3,8,5,4,1,6,2]
[4,8,7,1,5,6,3,2]=>[7,3,6,4,1,5,8,2]
[5,4,3,1,6,8,7,2]=>[3,4,5,7,1,6,8,2]
[4,8,3,1,5,6,7,2]=>[3,8,7,4,2,5,6,1]
[3,8,7,1,5,4,6,2]=>[7,6,3,5,1,4,8,2]
[5,8,2,1,6,4,3,7]=>[2,8,4,6,5,1,3,7]
[6,3,2,1,5,4,8,7]=>[2,3,6,5,1,4,8,7]
[5,3,2,1,6,4,8,7]=>[2,3,5,6,1,4,8,7]
[3,8,2,1,5,4,6,7]=>[2,8,3,5,1,4,6,7]
[6,2,7,1,5,4,3,8]=>[7,6,4,5,1,2,3,8]
[5,2,7,1,6,4,3,8]=>[7,5,4,6,2,1,3,8]
[4,2,7,1,5,6,3,8]=>[7,4,6,2,1,5,3,8]
[3,2,7,1,5,4,6,8]=>[7,3,2,5,1,4,6,8]
[2,8,7,1,5,4,3,6]=>[7,2,4,5,1,3,8,6]
[6,5,1,7,8,4,3,2]=>[5,3,4,6,8,2,7,1]
[5,8,1,6,7,4,3,2]=>[8,3,4,7,5,1,6,2]
[6,4,1,7,5,8,3,2]=>[4,3,6,8,7,2,5,1]
[5,4,1,6,7,8,3,2]=>[4,3,5,8,2,6,7,1]
[4,8,1,6,5,7,3,2]=>[8,3,7,4,6,1,5,2]
[6,3,1,7,5,4,8,2]=>[3,6,8,5,7,2,4,1]
[5,3,1,6,7,4,8,2]=>[3,5,8,7,2,6,4,1]
[4,3,1,6,5,7,8,2]=>[3,4,8,2,6,5,7,1]
[3,8,1,6,5,4,7,2]=>[8,7,3,5,6,1,4,2]
[5,2,1,6,7,4,3,8]=>[2,5,4,7,1,6,3,8]
[4,2,1,6,5,7,3,8]=>[2,4,7,1,6,5,3,8]
[2,8,1,6,5,4,3,7]=>[8,2,4,5,6,1,3,7]
[6,1,7,8,5,4,3,2]=>[6,3,4,5,8,1,7,2]
[4,1,7,6,5,8,3,2]=>[4,3,8,1,6,7,5,2]
[3,1,7,6,5,4,8,2]=>[3,8,1,5,6,7,4,2]
[4,5,8,1,2,6,3,7]=>[8,1,6,4,5,2,3,7]
[1,4,5,7,2,6,3,8]=>[1,7,6,4,5,2,3,8]
[1,7,3,5,6,2,4,8]=>[1,6,7,2,3,5,4,8]
[8,1,3,5,7,2,4,6]=>[8,7,1,2,3,4,5,6]
[3,6,8,1,7,2,4,5]=>[8,7,3,2,4,6,1,5]
[3,4,5,6,8,1,7,2]=>[8,7,3,4,5,6,1,2]
[4,5,8,2,6,7,1,3]=>[7,8,1,4,5,2,6,3]
[8,2,3,5,6,7,1,4]=>[7,8,2,1,3,5,6,4]
[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]
[8,1,2,3,5,4,6,7]=>[8,1,2,5,3,4,6,7]
[2,7,8,1,3,5,4,6]=>[8,2,1,5,3,4,7,6]
[2,7,8,3,5,6,1,4]=>[6,2,8,1,3,5,7,4]
[2,4,5,7,8,1,6,3]=>[8,2,6,4,5,1,7,3]
[4,5,8,1,7,6,3,2]=>[8,3,6,4,5,7,1,2]
[4,5,8,7,2,1,6,3]=>[2,7,6,4,5,1,8,3]
[8,7,3,5,6,2,1,4]=>[2,6,7,1,3,5,8,4]
[8,7,2,1,3,5,4,6]=>[2,7,1,5,3,4,8,6]
[3,6,8,7,2,1,5,4]=>[2,7,3,5,1,6,8,4]
[8,6,4,1,7,5,3,2]=>[4,3,6,5,8,7,1,2]
[7,6,4,3,1,8,5,2]=>[3,4,6,5,7,8,2,1]
[2,3,6,7,8,1,5,4]=>[8,2,3,5,1,6,7,4]
[3,6,8,1,2,5,4,7]=>[8,1,3,5,2,6,4,7]
[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]
[7,4,1,8,5,2,3,6]=>[4,7,1,5,8,3,2,6]
[7,1,4,2,8,3,6,5]=>[7,4,8,1,6,3,2,5]
[7,1,8,2,5,3,6,4]=>[7,8,5,6,2,3,1,4]
[8,1,7,5,4,2,3,6]=>[8,4,2,5,7,3,1,6]
[1,7,2,6,5,4,3,8]=>[1,7,4,5,6,2,3,8]
[1,7,6,3,2,5,4,8]=>[1,3,6,5,2,7,4,8]
[8,6,3,1,2,5,4,7]=>[3,1,6,5,2,8,4,7]
[8,1,7,6,3,2,4,5]=>[8,3,6,2,4,7,1,5]
[8,2,5,7,6,3,1,4]=>[3,6,7,1,2,8,5,4]
[3,6,8,1,7,5,4,2]=>[8,4,3,5,7,6,1,2]
[8,2,6,7,5,4,1,3]=>[4,5,1,7,8,2,6,3]
[2,7,8,6,3,1,5,4]=>[3,2,6,5,1,8,7,4]
[2,7,8,1,6,5,4,3]=>[8,2,4,5,6,1,7,3]
[7,3,1,8,6,5,4,2]=>[3,7,4,5,6,8,2,1]
[8,7,2,1,6,5,4,3]=>[2,7,4,5,6,1,8,3]
[8,7,6,3,2,1,5,4]=>[2,3,6,5,1,7,8,4]
[2,1,8,6,3,7,4,5]=>[2,1,6,8,3,7,4,5]
[8,6,1,5,2,7,4,3]=>[6,5,4,8,3,7,2,1]
[8,5,1,7,4,2,6,3]=>[5,4,8,7,6,2,3,1]
[2,1,7,5,4,3,8,6]=>[2,1,4,5,7,8,3,6]
[2,1,8,4,5,3,6,7]=>[2,1,5,8,4,3,6,7]
[2,1,7,8,3,6,5,4]=>[2,1,8,5,6,3,7,4]
[2,1,8,5,7,6,3,4]=>[2,1,6,3,7,8,4,5]
[2,1,4,8,5,7,3,6]=>[2,1,7,4,8,3,5,6]
[2,1,5,4,6,8,3,7]=>[2,1,8,5,4,6,3,7]
[8,5,3,1,6,2,4,7]=>[3,5,8,2,6,1,4,7]
[7,5,1,4,6,8,3,2]=>[5,3,7,2,8,4,6,1]
[6,4,1,5,2,3,8,7]=>[4,6,1,5,2,3,8,7]
[8,3,7,5,2,6,1,4]=>[6,5,7,1,8,3,2,4]
[5,3,7,4,6,8,1,2]=>[8,1,5,7,3,4,6,2]
[5,8,3,7,6,2,1,4]=>[2,6,7,3,5,8,1,4]
[5,2,4,8,6,3,1,7]=>[3,6,5,1,4,8,2,7]
[4,2,6,3,8,5,1,7]=>[5,4,8,2,6,1,3,7]
[4,6,3,2,7,8,1,5]=>[8,3,6,4,1,2,7,5]
[3,8,2,4,7,5,1,6]=>[5,7,3,1,8,2,4,6]
[3,6,8,7,5,4,1,2]=>[4,1,3,5,7,6,8,2]
[8,5,2,7,4,6,1,3]=>[6,5,1,8,7,2,4,3]
[5,8,2,1,7,6,4,3]=>[2,8,4,6,5,7,1,3]
[6,3,8,1,5,7,4,2]=>[8,4,7,6,1,2,5,3]
[8,3,2,4,1,7,5,6]=>[4,3,8,2,7,5,1,6]
[7,4,2,3,1,8,6,5]=>[3,4,2,7,6,8,1,5]
[7,2,4,3,1,5,8,6]=>[3,4,7,1,2,8,5,6]
[7,8,3,1,5,4,6,2]=>[3,8,6,5,2,4,7,1]
[7,2,8,1,4,6,5,3]=>[8,7,5,1,6,4,2,3]
[6,2,3,1,4,5,8,7]=>[3,6,2,1,4,5,8,7]
[5,6,1,4,3,2,8,7]=>[6,3,4,1,5,2,8,7]
[5,7,1,8,3,6,2,4]=>[7,6,8,2,5,3,1,4]
[6,8,1,4,5,3,2,7]=>[8,3,5,1,4,6,2,7]
[6,7,1,5,4,3,8,2]=>[7,8,4,5,1,6,3,2]
[8,7,5,1,3,4,2,6]=>[5,4,1,3,7,2,8,6]
[6,5,7,1,3,8,2,4]=>[7,8,1,2,6,5,3,4]
[8,2,6,1,4,7,3,5]=>[6,8,7,1,3,2,4,5]
[5,8,1,6,3,7,4,2]=>[8,4,7,6,5,1,2,3]
[8,3,5,6,1,7,4,2]=>[6,4,7,8,2,5,1,3]
[7,5,4,8,2,1,3,6]=>[2,8,1,5,7,3,4,6]
[7,3,6,5,4,1,8,2]=>[4,5,6,8,7,2,3,1]
[8,3,6,4,5,1,2,7]=>[5,1,8,6,4,3,2,7]
[7,3,5,8,1,6,2,4]=>[8,6,7,2,3,1,5,4]
[6,3,5,4,1,2,8,7]=>[4,1,5,6,2,3,8,7]
[2,6,3,5,1,4,8,7]=>[5,2,6,1,3,4,8,7]
[2,7,8,5,1,6,4,3]=>[5,2,4,8,6,3,7,1]
[8,7,3,6,5,1,4,2]=>[5,4,6,3,7,1,8,2]
[2,8,3,4,6,1,5,7]=>[6,2,8,3,1,4,5,7]
[2,7,4,3,6,1,8,5]=>[6,2,4,7,8,3,1,5]
[3,4,7,2,8,1,5,6]=>[8,7,3,4,1,5,2,6]
[4,3,2,5,7,1,8,6]=>[7,3,4,2,5,8,1,6]
[4,2,3,5,8,1,6,7]=>[8,4,2,3,5,1,6,7]
[3,2,8,4,7,1,6,5]=>[7,3,2,8,6,1,4,5]
[8,2,4,7,5,1,6,3]=>[5,7,8,3,6,2,4,1]
[3,8,4,7,1,6,5,2]=>[7,5,3,6,8,1,2,4]
[3,2,4,6,1,5,8,7]=>[6,3,2,4,1,5,8,7]
[8,3,4,5,7,6,1,2]=>[6,1,7,2,4,8,5,3]
[2,8,4,6,5,7,1,3]=>[7,2,1,8,6,4,5,3]
[2,3,8,4,6,7,1,5]=>[7,2,3,8,1,4,6,5]
[2,4,3,5,8,7,1,6]=>[7,2,4,3,5,1,8,6]
[3,2,4,5,6,8,1,7]=>[8,3,2,4,5,6,1,7]
[5,6,8,1,4,2,7,3]=>[8,4,7,1,5,6,2,3]
[1,5,7,8,4,6,2,3]=>[1,6,2,8,5,4,7,3]
[1,3,5,7,8,6,2,4]=>[1,6,3,2,5,8,7,4]
[3,5,7,8,6,1,2,4]=>[6,1,3,2,5,8,7,4]
[3,5,1,6,8,2,7,4]=>[5,8,3,7,1,6,2,4]
[3,1,5,6,8,2,7,4]=>[3,8,1,7,5,6,2,4]
[2,3,5,6,8,1,7,4]=>[8,2,3,7,5,6,1,4]
[5,6,4,8,2,1,7,3]=>[2,8,7,6,5,4,1,3]
[5,1,6,3,8,4,7,2]=>[5,7,6,8,1,3,4,2]
[2,5,1,6,8,3,7,4]=>[5,2,8,7,1,6,3,4]
[5,1,2,6,8,3,7,4]=>[5,1,8,7,2,6,3,4]
[5,7,1,8,6,2,3,4]=>[7,6,2,3,5,8,1,4]
[1,5,2,7,8,6,3,4]=>[1,5,6,3,2,8,7,4]
[1,6,7,5,2,8,3,4]=>[1,5,7,2,8,6,3,4]
[6,1,7,5,2,8,3,4]=>[6,5,7,2,8,1,3,4]
[2,6,7,5,1,8,3,4]=>[5,2,7,1,8,6,3,4]
[5,7,2,8,6,1,3,4]=>[6,8,2,3,5,7,1,4]
[3,5,7,8,6,2,1,4]=>[2,6,3,1,5,8,7,4]
[5,1,7,8,6,3,4,2]=>[5,4,6,3,1,8,7,2]
[5,1,3,7,8,6,4,2]=>[5,4,1,6,3,8,7,2]
[5,2,7,8,4,6,1,3]=>[6,5,1,8,2,4,7,3]
[3,2,5,7,8,6,1,4]=>[6,3,2,1,5,8,7,4]
[6,2,7,5,1,8,3,4]=>[5,7,6,1,8,3,2,4]
[1,2,6,7,5,8,3,4]=>[1,2,8,3,7,6,5,4]
[6,2,7,5,4,1,8,3]=>[4,5,7,6,8,1,3,2]
[6,7,5,2,4,1,8,3]=>[4,5,7,3,8,6,1,2]
[6,7,2,5,3,8,1,4]=>[8,7,5,1,2,6,3,4]
[6,7,4,5,2,1,8,3]=>[2,5,8,7,4,6,1,3]
[5,1,7,8,6,4,3,2]=>[5,3,4,6,1,8,7,2]
[2,5,7,8,6,3,1,4]=>[3,2,6,1,5,8,7,4]
[5,1,7,8,6,3,2,4]=>[5,3,6,2,1,8,7,4]
[6,3,7,5,1,8,2,4]=>[5,7,8,3,6,1,2,4]
[1,6,7,5,3,8,2,4]=>[1,8,5,2,7,6,3,4]
[1,6,7,5,4,2,8,3]=>[1,4,5,7,8,6,2,3]
[6,7,5,1,4,2,8,3]=>[5,4,7,3,8,6,2,1]
[5,7,8,6,4,1,2,3]=>[4,1,2,6,5,8,7,3]
[4,1,7,2,6,5,8,3]=>[4,7,8,1,6,2,5,3]
[2,4,7,1,5,6,8,3]=>[7,2,8,4,1,5,6,3]
[6,7,4,1,5,2,8,3]=>[4,7,5,8,2,6,3,1]
[1,6,7,4,5,2,8,3]=>[1,5,8,7,4,6,2,3]
[1,6,3,7,5,8,2,4]=>[1,8,6,2,7,3,5,4]
[6,3,1,7,5,8,2,4]=>[3,6,8,1,7,2,5,4]
[2,5,3,7,8,6,1,4]=>[6,2,5,1,3,8,7,4]
[6,7,5,4,2,1,8,3]=>[2,4,5,7,8,6,1,3]
[6,3,2,7,5,8,1,4]=>[8,3,6,1,7,2,5,4]
[6,7,4,2,5,1,8,3]=>[5,4,7,8,3,6,1,2]
[6,2,7,4,5,1,8,3]=>[5,6,8,7,4,2,1,3]
[6,2,3,7,5,8,1,4]=>[8,6,2,1,7,3,5,4]
[4,5,1,6,3,2,8,7]=>[5,3,6,4,1,2,8,7]
[7,5,1,6,3,8,2,4]=>[5,7,8,3,6,2,1,4]
[7,5,1,6,3,8,4,2]=>[5,4,7,8,6,3,1,2]
[2,7,6,1,3,8,4,5]=>[6,2,1,7,3,8,4,5]
[2,7,6,1,3,8,5,4]=>[6,2,1,5,7,8,4,3]
[7,3,5,1,8,2,6,4]=>[5,8,7,6,3,2,1,4]
[7,3,5,1,8,2,4,6]=>[5,8,7,2,3,4,1,6]
[3,7,5,1,8,6,2,4]=>[5,7,3,1,6,8,2,4]
[2,6,7,1,5,8,3,4]=>[7,2,8,3,1,6,5,4]
[2,6,7,4,1,8,3,5]=>[4,2,7,8,1,6,3,5]
[2,1,6,7,3,8,5,4]=>[2,1,7,5,8,6,3,4]
[2,6,7,4,1,8,5,3]=>[4,2,7,5,8,6,3,1]
[2,6,7,1,5,8,4,3]=>[7,2,4,8,1,6,5,3]
[3,6,5,1,8,4,7,2]=>[5,6,3,7,8,2,1,4]
[3,6,5,1,8,4,2,7]=>[5,4,3,6,8,2,1,7]
[3,7,5,4,8,1,6,2]=>[8,6,3,5,7,1,4,2]
[3,7,5,4,8,1,2,6]=>[8,1,3,5,7,2,4,6]
[4,6,1,5,8,7,3,2]=>[6,3,7,4,1,5,8,2]
[4,6,1,5,8,7,2,3]=>[6,7,2,4,1,5,8,3]
[4,6,1,5,8,2,7,3]=>[6,8,7,4,1,5,2,3]
[7,5,1,6,2,8,3,4]=>[5,7,6,1,8,2,3,4]
[7,5,1,6,2,8,4,3]=>[5,7,4,6,8,2,3,1]
[4,6,1,5,8,2,3,7]=>[6,8,2,4,1,5,3,7]
[4,7,1,5,8,3,6,2]=>[7,6,8,4,1,3,5,2]
[2,3,4,7,8,1,6,5]=>[8,2,3,4,6,1,7,5]
[6,8,5,4,3,2,7,1]=>[7,3,4,5,8,6,2,1]
[6,8,5,4,3,7,2,1]=>[2,7,4,5,8,6,3,1]
[5,8,4,3,2,1,7,6]=>[2,3,4,8,5,7,1,6]
[6,5,4,3,1,8,7,2]=>[3,4,5,6,7,2,8,1]
[8,7,5,4,3,1,6,2]=>[3,4,5,7,6,2,8,1]
[8,3,4,6,2,1,5,7]=>[2,6,8,3,1,4,5,7]
[3,5,6,2,1,8,4,7]=>[2,6,3,8,5,1,4,7]
[3,5,2,6,8,4,1,7]=>[4,8,3,5,1,6,2,7]
[7,5,3,2,8,4,1,6]=>[4,3,8,5,7,2,1,6]
[7,5,3,2,8,4,6,1]=>[6,3,5,7,8,2,4,1]
[2,4,5,7,3,8,6,1]=>[6,2,8,4,5,7,1,3]
[4,2,5,6,8,3,1,7]=>[3,8,4,1,5,6,2,7]
[4,2,8,1,5,6,3,7]=>[8,4,6,2,1,5,3,7]
[2,5,6,1,8,4,3,7]=>[6,2,4,8,5,1,3,7]
[5,3,6,8,1,4,2,7]=>[8,4,5,1,3,6,2,7]
[4,5,6,8,1,3,2,7]=>[8,3,1,4,5,6,2,7]
[1,4,5,6,8,3,2,7]=>[1,3,8,4,5,6,2,7]
[4,5,6,3,8,2,1,7]=>[2,8,6,4,5,3,1,7]
[4,5,3,7,2,8,6,1]=>[6,8,5,4,3,7,1,2]
[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,1,4,2]
[6,1,4,7,3,2,8,5]=>[6,3,7,1,8,4,2,5]
[1,7,8,4,5,3,2,6]=>[1,3,5,8,4,2,7,6]
[5,1,7,3,8,4,2,6]=>[5,4,8,7,1,3,2,6]
[2,5,1,7,4,3,8,6]=>[5,2,4,7,1,8,3,6]
[2,5,7,4,1,8,6,3]=>[4,2,7,6,5,8,3,1]
[5,3,7,1,4,8,6,2]=>[7,6,5,1,3,8,4,2]
[6,4,3,1,7,8,5,2]=>[3,4,6,5,8,1,7,2]
[6,4,1,7,3,8,5,2]=>[4,6,5,8,7,2,3,1]
[5,6,3,7,8,4,2,1]=>[2,4,8,6,5,1,7,3]
[5,1,6,3,7,8,4,2]=>[5,4,8,6,1,2,7,3]
[5,6,1,3,7,8,4,2]=>[6,4,1,8,5,3,7,2]
[5,6,1,7,8,3,4,2]=>[6,4,8,3,5,1,7,2]
[1,6,3,7,4,8,5,2]=>[1,5,8,6,7,4,2,3]
[6,7,2,4,1,8,5,3]=>[4,7,5,2,8,6,1,3]
[6,7,2,1,4,3,8,5]=>[2,7,4,1,8,6,3,5]
[6,4,7,3,1,2,8,5]=>[3,1,7,6,8,4,2,5]
[5,6,3,1,2,7,8,4]=>[3,1,6,8,5,2,7,4]
[5,6,1,3,2,7,8,4]=>[6,3,1,8,5,2,7,4]
[5,6,3,2,1,7,8,4]=>[2,3,6,8,5,1,7,4]
[2,5,6,3,7,8,4,1]=>[4,2,8,6,5,1,7,3]
[2,5,6,3,1,7,8,4]=>[3,2,6,8,5,1,7,4]
[2,6,4,7,3,1,8,5]=>[3,2,7,6,8,4,1,5]
[6,3,7,2,8,4,5,1]=>[5,7,6,8,4,3,2,1]
[6,3,7,2,8,4,1,5]=>[4,8,7,6,2,1,3,5]
[6,3,2,7,1,8,4,5]=>[7,3,6,8,4,2,1,5]
[7,5,3,2,1,8,4,6]=>[2,3,5,7,8,1,4,6]
[7,3,8,4,2,1,5,6]=>[2,4,8,7,3,5,1,6]
[4,7,2,1,3,8,6,5]=>[2,7,1,4,6,8,3,5]
[1,3,7,8,6,4,2,5]=>[1,4,3,6,2,8,7,5]
[7,3,8,4,6,2,1,5]=>[2,6,7,8,1,4,3,5]
[5,7,3,8,2,1,6,4]=>[2,8,7,6,5,1,3,4]
[6,3,7,8,5,2,1,4]=>[2,5,8,3,6,1,7,4]
[4,6,2,7,8,5,3,1]=>[3,5,8,4,6,2,7,1]
[4,6,2,1,7,8,5,3]=>[2,6,5,4,8,1,7,3]
[7,4,5,8,1,2,6,3]=>[8,1,6,7,4,2,5,3]
[2,5,1,7,3,8,6,4]=>[5,2,7,6,1,8,3,4]
[6,7,2,1,3,8,5,4]=>[2,7,1,5,8,6,3,4]
[5,1,6,7,8,2,4,3]=>[5,8,4,2,1,6,7,3]
[6,3,7,1,8,5,2,4]=>[7,5,8,3,6,2,1,4]
[6,2,1,7,3,8,5,4]=>[2,6,7,5,8,1,3,4]
[6,2,7,1,8,5,4,3]=>[7,6,4,5,8,2,1,3]
[6,3,1,7,8,5,4,2]=>[3,6,4,5,8,2,7,1]
[4,1,3,6,8,2,5,7]=>[4,8,1,3,2,6,5,7]
[4,2,3,6,8,1,5,7]=>[8,4,2,3,1,6,5,7]
[5,3,2,1,8,4,7,6]=>[2,3,5,8,1,7,4,6]
[3,6,5,8,2,1,7,4]=>[2,8,3,7,6,5,1,4]
[4,5,2,1,3,8,7,6]=>[2,5,1,4,3,7,8,6]
[3,2,6,4,5,8,1,7]=>[8,3,2,6,4,5,1,7]
[2,4,6,5,8,1,3,7]=>[8,2,1,4,6,5,3,7]
[1,6,2,4,5,8,3,7]=>[1,6,8,2,4,5,3,7]
[5,3,2,1,6,8,4,7]=>[2,3,5,8,1,6,4,7]
[6,2,4,5,8,1,3,7]=>[8,6,1,2,4,5,3,7]
[1,3,4,6,5,8,2,7]=>[1,8,3,4,6,5,2,7]
[1,6,3,4,5,8,2,7]=>[1,8,6,3,4,5,2,7]
[3,4,1,8,5,2,7,6]=>[4,5,3,1,8,7,2,6]
[2,8,4,1,7,6,3,5]=>[4,2,8,6,1,7,3,5]
[8,1,4,2,7,3,6,5]=>[8,4,7,1,6,3,2,5]
[1,5,3,2,8,7,4,6]=>[1,3,5,7,2,4,8,6]
[8,2,1,7,5,3,4,6]=>[2,8,5,3,7,4,1,6]
[1,7,6,4,5,8,3,2]=>[1,3,8,6,4,7,5,2]
[5,8,7,4,1,2,6,3]=>[4,1,7,6,5,3,8,2]
[5,8,7,4,6,2,1,3]=>[2,6,1,7,5,4,8,3]
[3,4,2,5,8,6,7,1]=>[7,4,3,2,5,8,6,1]
[4,1,3,5,6,8,7,2]=>[4,7,1,3,5,6,8,2]
[2,4,8,6,7,1,3,5]=>[7,2,1,4,3,8,6,5]
[4,3,6,2,8,1,7,5]=>[8,6,4,3,7,2,1,5]
[3,7,4,8,2,1,6,5]=>[2,8,3,7,6,1,4,5]
[2,3,5,8,6,7,1,4]=>[7,2,3,1,5,8,6,4]
[3,2,5,6,8,7,1,4]=>[7,3,2,1,5,6,8,4]
[2,1,8,5,6,7,3,4]=>[2,1,7,3,8,5,6,4]
[1,2,8,3,5,6,7,4]=>[1,2,8,7,3,5,6,4]
[4,2,3,7,1,8,6,5]=>[7,4,2,3,6,8,1,5]
[3,2,6,4,8,1,7,5]=>[8,3,2,6,7,4,1,5]
[8,2,1,6,7,3,4,5]=>[2,8,7,3,4,1,6,5]
[2,7,8,5,4,1,3,6]=>[4,2,1,5,8,3,7,6]
[1,7,5,3,8,4,2,6]=>[1,4,8,5,7,3,2,6]
[4,7,5,3,1,2,8,6]=>[3,1,5,4,7,8,2,6]
[7,2,4,8,5,3,1,6]=>[3,5,8,2,7,1,4,6]
[4,8,3,1,2,7,6,5]=>[3,1,8,4,6,7,2,5]
[3,5,2,7,4,1,8,6]=>[4,7,3,5,1,8,2,6]
[8,4,2,3,7,1,5,6]=>[7,4,2,8,1,5,3,6]
[2,8,4,7,1,3,5,6]=>[7,2,1,8,3,5,4,6]
[8,2,4,6,7,1,3,5]=>[7,8,1,2,3,4,6,5]
[4,8,2,3,6,7,1,5]=>[7,8,2,4,1,3,6,5]
[3,5,2,7,6,1,8,4]=>[6,5,3,7,2,8,4,1]
[1,6,3,2,5,8,7,4]=>[1,3,6,7,2,5,8,4]
[5,8,3,2,1,6,7,4]=>[2,3,8,7,5,1,6,4]
[5,8,7,3,4,6,2,1]=>[2,6,7,3,5,4,8,1]
[5,8,2,7,4,1,6,3]=>[4,7,8,6,5,2,3,1]
[5,1,4,2,8,7,6,3]=>[5,4,6,1,2,7,8,3]
[4,7,6,5,8,2,1,3]=>[2,8,1,4,6,7,5,3]
[5,3,7,1,6,2,8,4]=>[7,6,5,8,3,1,2,4]
[5,2,6,8,7,1,3,4]=>[7,5,1,3,2,6,8,4]
[6,3,2,1,8,5,7,4]=>[2,3,6,7,8,1,5,4]
[2,7,5,4,1,8,6,3]=>[4,2,5,7,6,8,1,3]
[4,2,5,6,8,7,1,3]=>[7,4,1,2,5,6,8,3]
[1,8,4,2,5,6,7,3]=>[1,4,8,7,3,5,6,2]
[3,8,4,1,5,6,7,2]=>[4,8,3,7,2,5,6,1]
[4,2,8,5,6,7,1,3]=>[7,4,1,2,8,5,6,3]
[5,2,4,7,1,8,6,3]=>[7,5,6,2,4,8,1,3]
[5,3,4,7,1,8,6,2]=>[7,6,5,3,4,8,1,2]
[8,6,4,1,3,2,5,7]=>[4,3,1,6,2,8,5,7]
[8,1,3,6,5,2,4,7]=>[8,5,1,2,6,3,4,7]
[8,1,4,3,6,5,2,7]=>[8,5,4,1,6,3,2,7]
[3,6,5,2,1,8,7,4]=>[2,5,3,6,7,4,8,1]
[8,3,2,4,6,5,1,7]=>[5,3,6,1,8,4,2,7]
[8,4,2,1,6,5,3,7]=>[2,4,8,5,6,3,1,7]
[8,4,1,2,6,5,3,7]=>[4,1,8,5,6,3,2,7]
[8,6,4,2,1,5,3,7]=>[2,4,6,5,3,8,1,7]
[8,3,6,4,1,5,2,7]=>[4,6,5,8,2,1,3,7]
[8,2,6,3,4,5,1,7]=>[5,8,6,3,4,2,1,7]
[1,3,4,8,5,7,2,6]=>[1,7,3,4,8,2,5,6]
[5,8,4,7,6,2,3,1]=>[3,6,2,7,5,8,1,4]
[1,3,4,7,5,8,2,6]=>[1,8,3,4,7,2,5,6]
[1,3,5,2,4,8,7,6]=>[1,5,3,2,4,7,8,6]
[2,6,5,1,3,8,7,4]=>[5,2,1,6,7,4,8,3]
[4,7,1,6,5,8,3,2]=>[7,3,8,4,6,1,5,2]
[5,4,8,7,6,3,1,2]=>[3,1,6,5,4,7,8,2]
[2,8,5,1,4,7,6,3]=>[5,2,8,3,6,7,4,1]
[4,3,1,5,8,6,7,2]=>[3,4,7,2,5,8,6,1]
[4,1,3,5,8,6,7,2]=>[4,7,1,3,5,8,6,2]
[6,5,3,8,4,7,1,2]=>[7,1,5,6,8,4,3,2]
[5,4,2,1,6,8,7,3]=>[2,4,5,7,3,6,8,1]
[6,8,4,3,2,7,1,5]=>[7,3,4,8,1,6,2,5]
[3,4,7,8,2,1,6,5]=>[2,8,3,4,6,1,7,5]
[5,1,3,2,8,6,7,4]=>[5,3,1,7,2,8,6,4]
[5,3,1,2,8,6,7,4]=>[3,1,5,7,2,8,6,4]
[5,2,3,1,6,8,7,4]=>[3,5,2,7,1,6,8,4]
[5,3,2,1,8,6,7,4]=>[2,3,5,7,1,8,6,4]
[5,2,1,3,6,8,7,4]=>[2,5,1,7,3,6,8,4]
[2,4,7,3,8,1,6,5]=>[8,2,7,4,6,1,3,5]
[6,3,8,2,7,4,1,5]=>[4,7,8,6,2,1,3,5]
[8,2,1,3,6,4,7,5]=>[2,8,1,6,7,3,4,5]
[3,5,1,7,8,4,2,6]=>[5,4,3,8,1,2,7,6]
[2,7,4,5,8,3,1,6]=>[3,2,8,7,4,1,5,6]
[1,8,4,3,7,2,6,5]=>[1,7,4,8,6,2,3,5]
[3,4,8,7,2,1,6,5]=>[2,7,3,4,6,1,8,5]
[5,4,7,8,3,6,2,1]=>[2,6,8,5,4,3,7,1]
[6,4,3,8,7,2,1,5]=>[2,7,4,6,1,3,8,5]
[6,3,8,7,4,1,2,5]=>[4,1,7,6,3,2,8,5]
[3,5,7,2,4,8,1,6]=>[8,7,3,2,5,1,4,6]
[8,4,7,2,3,1,5,6]=>[3,7,2,8,1,5,4,6]
[8,4,7,1,3,2,5,6]=>[7,3,1,8,2,5,4,6]
[8,4,7,2,1,3,5,6]=>[2,7,1,8,3,5,4,6]
[8,6,4,2,1,3,7,5]=>[2,4,1,6,8,7,5,3]
[8,6,4,1,3,2,7,5]=>[4,3,1,6,8,7,5,2]
[8,6,4,2,3,1,7,5]=>[3,4,2,6,8,7,5,1]
[3,5,7,2,6,1,8,4]=>[6,7,3,8,5,2,1,4]
[6,1,3,8,5,7,2,4]=>[6,7,1,2,8,3,5,4]
[5,8,3,2,6,7,1,4]=>[7,3,8,1,5,2,6,4]
[4,8,5,3,6,2,7,1]=>[7,6,5,4,8,3,2,1]
[2,8,1,5,4,7,6,3]=>[8,2,6,5,1,7,4,3]
[1,5,8,7,4,6,2,3]=>[1,6,2,7,5,4,8,3]
[2,1,7,6,4,5,8,3]=>[2,1,8,6,4,7,5,3]
[1,7,2,4,6,5,8,3]=>[1,7,8,2,6,4,5,3]
[3,5,1,7,6,8,2,4]=>[5,8,3,2,1,7,6,4]
[5,8,2,6,1,3,7,4]=>[6,8,1,7,5,2,3,4]
[6,3,5,8,7,2,1,4]=>[2,7,6,1,3,5,8,4]
[2,5,7,8,4,1,6,3]=>[4,2,8,6,5,3,7,1]
[4,2,8,1,5,6,7,3]=>[8,4,7,2,1,5,6,3]
[4,1,5,2,6,8,7,3]=>[4,5,7,1,2,6,8,3]
[3,4,5,1,6,8,7,2]=>[5,7,3,4,1,6,8,2]
[4,2,8,5,1,6,7,3]=>[5,4,8,2,7,3,6,1]
[4,1,8,5,2,6,7,3]=>[4,5,8,1,7,3,6,2]
[2,7,1,8,5,4,6,3]=>[7,2,6,5,8,4,1,3]
[5,8,6,2,1,3,7,4]=>[2,6,1,8,5,7,4,3]
[8,2,4,1,5,6,7,3]=>[4,8,7,2,1,5,6,3]
[4,6,3,5,8,1,7,2]=>[8,7,6,4,3,5,1,2]
[1,7,8,3,5,4,6,2]=>[1,6,8,5,3,4,7,2]
[3,4,5,1,8,6,7,2]=>[5,7,3,4,1,8,6,2]
[3,8,1,4,5,6,7,2]=>[8,7,3,1,4,5,6,2]
[3,4,5,6,8,2,1,7]=>[2,8,3,4,5,6,1,7]
[3,4,5,7,1,8,6,2]=>[7,6,3,4,5,8,1,2]
[3,4,5,7,8,2,6,1]=>[6,8,3,4,5,2,7,1]
[3,4,6,2,8,5,1,7]=>[5,8,3,4,6,1,2,7]
[3,4,6,8,1,5,2,7]=>[8,5,3,4,1,6,2,7]
[3,4,7,2,1,8,6,5]=>[2,7,3,4,6,8,1,5]
[3,4,7,8,1,5,6,2]=>[8,6,3,4,1,5,7,2]
[3,4,8,2,1,5,6,7]=>[2,8,3,4,1,5,6,7]
[3,5,2,6,7,8,1,4]=>[8,5,3,1,2,6,7,4]
[3,5,2,7,8,4,6,1]=>[6,5,3,8,2,4,7,1]
[3,5,2,8,4,1,6,7]=>[4,8,3,5,1,2,6,7]
[3,5,6,2,8,4,1,7]=>[4,8,3,6,5,1,2,7]
[3,5,6,8,4,1,2,7]=>[4,1,3,8,5,6,2,7]
[3,5,7,2,4,8,6,1]=>[6,8,3,1,5,7,4,2]
[3,5,7,2,8,4,6,1]=>[6,7,3,8,5,4,2,1]
[3,5,7,8,4,1,6,2]=>[4,8,3,6,5,2,7,1]
[3,6,2,1,7,8,5,4]=>[2,6,3,5,8,1,7,4]
[3,6,2,1,8,5,4,7]=>[2,6,3,5,8,1,4,7]
[3,6,7,2,4,8,5,1]=>[5,8,3,1,7,6,4,2]
[3,6,7,2,8,5,4,1]=>[4,5,3,8,7,6,2,1]
[3,6,7,8,4,5,1,2]=>[5,1,3,8,4,6,7,2]
[3,6,8,2,4,5,1,7]=>[5,8,3,2,4,6,1,7]
[3,7,2,1,4,8,6,5]=>[2,7,3,1,6,8,4,5]
[3,7,2,1,8,5,6,4]=>[2,7,3,6,8,5,1,4]
[3,7,2,8,4,5,6,1]=>[6,7,3,8,4,5,2,1]
[3,7,8,2,4,5,6,1]=>[6,8,3,2,4,5,7,1]
[3,8,2,1,4,5,6,7]=>[2,8,3,1,4,5,6,7]
[4,1,5,6,7,8,3,2]=>[4,3,8,1,5,6,7,2]
[4,1,5,7,3,8,6,2]=>[4,6,8,1,5,7,2,3]
[4,1,6,3,7,8,5,2]=>[4,5,8,1,6,2,7,3]
[4,1,6,3,8,5,2,7]=>[4,5,8,1,6,2,3,7]
[4,1,6,7,3,8,5,2]=>[4,5,8,1,7,6,2,3]
[4,1,6,7,8,5,2,3]=>[4,5,2,1,8,6,7,3]
[4,1,6,8,3,5,2,7]=>[4,5,8,1,3,6,2,7]
[4,1,7,3,2,8,6,5]=>[4,3,7,1,6,8,2,5]
[4,1,7,8,3,5,6,2]=>[4,6,8,1,3,5,7,2]
[4,1,8,3,2,5,6,7]=>[4,3,8,1,2,5,6,7]
[4,5,2,6,7,8,3,1]=>[3,8,5,4,1,6,7,2]
[4,5,2,6,8,1,3,7]=>[8,5,1,4,2,6,3,7]
[4,5,6,3,8,1,2,7]=>[8,1,6,4,5,3,2,7]
[4,5,6,8,3,1,2,7]=>[3,1,8,4,5,6,2,7]
[4,5,7,3,8,1,6,2]=>[8,6,7,4,5,1,3,2]
[4,5,8,3,2,1,6,7]=>[2,3,8,4,5,1,6,7]
[4,6,2,3,7,8,5,1]=>[5,8,1,4,6,3,7,2]
[4,6,2,3,8,5,1,7]=>[5,8,1,4,6,3,2,7]
[4,6,2,7,3,8,5,1]=>[5,8,6,4,7,3,1,2]
[4,6,2,7,8,5,1,3]=>[5,8,2,4,6,1,7,3]
[4,6,7,3,2,8,5,1]=>[5,3,8,4,7,6,1,2]
[4,6,8,3,2,5,1,7]=>[5,3,8,4,2,6,1,7]
[4,7,2,3,1,8,6,5]=>[3,7,2,4,6,8,1,5]
[4,7,2,8,3,5,6,1]=>[6,7,8,4,3,5,2,1]
[4,7,8,3,2,5,6,1]=>[6,3,8,4,2,5,7,1]
[4,8,2,3,1,5,6,7]=>[3,8,2,4,1,5,6,7]
[5,1,2,6,8,4,3,7]=>[5,1,4,8,2,6,3,7]
[5,1,2,7,4,8,6,3]=>[5,1,6,8,2,7,3,4]
[5,1,2,7,8,4,6,3]=>[5,1,6,8,2,4,7,3]
[5,1,2,8,4,3,6,7]=>[5,1,4,8,2,3,6,7]
[5,1,6,3,8,4,2,7]=>[5,4,8,6,1,2,3,7]
[5,1,6,7,4,8,2,3]=>[5,8,2,7,1,6,4,3]
[5,1,6,7,8,4,2,3]=>[5,4,2,8,1,6,7,3]
[5,1,8,3,4,2,6,7]=>[5,4,8,3,1,2,6,7]
[5,6,2,3,8,4,1,7]=>[4,8,1,6,5,3,2,7]
[5,6,2,7,8,4,1,3]=>[4,8,2,6,5,1,7,3]
[5,6,8,3,4,2,1,7]=>[2,4,8,3,5,6,1,7]
[5,7,2,3,4,8,6,1]=>[6,8,1,3,5,7,4,2]
[5,7,2,3,8,4,6,1]=>[6,7,2,8,5,4,3,1]
[5,7,8,3,4,2,6,1]=>[6,4,8,3,5,2,7,1]
[5,8,2,3,4,1,6,7]=>[4,8,2,3,5,1,6,7]
[6,1,2,3,7,8,5,4]=>[6,1,2,5,8,3,7,4]
[6,1,2,3,8,5,4,7]=>[6,1,2,5,8,3,4,7]
[6,1,2,7,8,5,4,3]=>[6,1,4,5,8,2,7,3]
[6,1,2,8,4,5,3,7]=>[6,1,5,8,4,2,3,7]
[6,1,7,3,4,8,5,2]=>[6,5,8,2,7,1,4,3]
[6,1,7,3,8,5,4,2]=>[6,4,5,8,7,1,3,2]
[6,1,7,8,4,5,3,2]=>[6,3,5,8,4,1,7,2]
[6,1,8,3,4,5,2,7]=>[6,5,8,3,4,1,2,7]
[6,7,2,3,8,5,4,1]=>[4,5,2,8,7,6,3,1]
[6,7,2,8,4,5,3,1]=>[3,5,7,8,4,6,1,2]
[6,8,2,3,4,5,1,7]=>[5,8,2,3,4,6,1,7]
[7,1,2,3,4,8,6,5]=>[7,1,2,3,6,8,4,5]
[7,1,2,8,4,5,6,3]=>[7,1,6,8,4,5,2,3]
[7,1,8,3,4,5,6,2]=>[7,6,8,3,4,5,1,2]
[6,4,1,8,2,3,7,5]=>[4,6,1,8,7,2,3,5]
[5,8,1,2,4,3,7,6]=>[8,1,4,2,5,7,3,6]
[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]
[3,5,8,6,1,2,4,7]=>[6,1,3,2,5,8,4,7]
[3,1,6,8,2,4,7,5]=>[3,8,1,2,7,6,4,5]
[3,6,2,8,1,5,7,4]=>[8,6,3,7,1,2,5,4]
[2,6,1,3,8,4,7,5]=>[6,2,1,8,7,3,4,5]
[1,7,5,2,3,4,6,8]=>[1,5,2,3,7,4,6,8]
[2,7,5,1,3,8,4,6]=>[5,2,1,7,8,3,4,6]
[8,2,5,7,4,6,1,3]=>[6,8,1,7,2,4,5,3]
[8,2,1,3,7,6,4,5]=>[2,8,1,6,4,7,3,5]
[8,2,5,1,3,7,4,6]=>[5,8,1,7,2,4,3,6]
[8,2,7,5,3,1,6,4]=>[3,5,7,8,6,1,4,2]
[8,2,6,5,4,7,1,3]=>[7,8,1,5,6,2,4,3]
[7,6,5,2,4,8,1,3]=>[8,5,1,2,6,7,4,3]
[7,8,2,5,3,1,6,4]=>[3,5,8,6,1,2,7,4]
[7,1,8,6,3,2,4,5]=>[7,3,6,2,4,8,1,5]
[6,8,1,5,3,2,4,7]=>[8,3,5,2,1,6,4,7]
[1,6,7,5,3,2,4,8]=>[1,3,5,2,7,6,4,8]
[6,5,1,2,4,8,3,7]=>[5,1,6,3,8,4,2,7]
[7,8,1,6,4,2,3,5]=>[8,4,2,6,3,1,7,5]
[8,4,1,2,5,6,3,7]=>[4,1,8,6,3,5,2,7]
[1,7,3,6,5,2,4,8]=>[1,5,6,3,7,2,4,8]
[8,1,3,7,2,6,4,5]=>[8,7,1,6,4,2,3,5]
[7,3,2,6,5,1,8,4]=>[5,3,6,7,8,4,2,1]
[7,8,4,2,5,6,1,3]=>[6,4,1,8,2,5,7,3]
[8,2,7,4,5,6,1,3]=>[6,8,1,7,4,5,2,3]
[8,2,3,6,5,1,7,4]=>[5,6,1,8,7,4,2,3]
[4,8,6,5,7,3,2,1]=>[2,3,7,4,6,8,5,1]
[3,8,7,5,4,6,2,1]=>[2,6,3,5,7,4,8,1]
[4,8,5,6,7,3,2,1]=>[2,3,7,4,8,5,6,1]
[2,8,7,6,4,3,5,1]=>[5,2,4,6,3,7,8,1]
[3,8,7,4,5,6,2,1]=>[2,6,3,7,4,5,8,1]
[1,8,7,6,5,3,2,4]=>[1,3,5,2,6,7,8,4]
[2,8,7,6,3,4,5,1]=>[5,2,6,3,4,7,8,1]
[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4]
[7,2,8,6,5,4,1,3]=>[4,5,2,6,8,7,1,3]
[7,2,8,5,4,6,1,3]=>[6,7,1,5,8,4,2,3]
[6,3,2,8,5,1,7,4]=>[5,3,8,6,7,4,2,1]
[8,4,7,2,5,6,3,1]=>[3,6,7,8,1,5,4,2]
[6,8,5,4,3,1,7,2]=>[3,4,5,8,7,6,2,1]
[5,8,6,4,1,3,7,2]=>[4,6,1,8,5,7,3,2]
[4,8,6,1,5,3,7,2]=>[6,8,5,4,2,7,3,1]
[3,6,1,8,5,2,7,4]=>[6,5,3,8,7,1,4,2]
[3,4,1,2,8,6,7,5]=>[4,1,3,2,7,8,6,5]
[6,8,3,5,4,1,7,2]=>[4,5,7,8,1,6,2,3]
[7,2,5,8,3,6,1,4]=>[6,7,8,1,2,3,5,4]
[1,7,5,6,3,4,2,8]=>[1,4,6,3,7,5,2,8]
[7,2,6,8,5,3,1,4]=>[3,5,8,1,7,2,6,4]
[7,6,3,8,5,2,1,4]=>[2,5,8,3,6,7,1,4]
[7,2,6,4,8,3,1,5]=>[3,8,7,6,2,1,4,5]
[1,5,7,4,2,6,3,8]=>[1,4,7,6,5,3,2,8]
[4,2,3,1,7,8,5,6]=>[3,4,2,1,8,5,7,6]
[5,2,8,4,1,7,6,3]=>[4,8,5,6,3,7,2,1]
[8,6,3,4,7,2,5,1]=>[5,7,6,3,2,8,4,1]
[6,8,3,4,5,1,7,2]=>[5,7,8,3,4,6,1,2]
[1,6,3,2,5,8,4,7]=>[1,3,6,8,2,5,4,7]
[8,3,2,1,5,4,7,6]=>[2,3,8,5,1,7,4,6]
[6,3,7,1,5,8,4,2]=>[7,4,8,6,1,2,5,3]
[2,5,1,8,4,3,7,6]=>[5,2,4,8,1,7,3,6]
[6,2,5,4,8,1,3,7]=>[8,6,1,5,2,4,3,7]
[4,3,1,6,5,8,2,7]=>[3,4,8,2,6,5,1,7]
[1,3,5,4,6,8,2,7]=>[1,8,3,5,4,6,2,7]
[6,1,3,4,5,8,2,7]=>[6,8,1,3,4,5,2,7]
[8,3,4,1,5,2,7,6]=>[4,5,8,3,1,7,2,6]
[7,5,4,2,6,8,3,1]=>[3,8,4,5,7,1,6,2]
[8,2,6,4,1,7,3,5]=>[4,6,8,7,1,3,2,5]
[7,3,8,4,5,2,1,6]=>[2,5,7,8,4,1,3,6]
[7,2,5,1,8,4,3,6]=>[5,7,4,8,2,3,1,6]
[1,7,3,2,5,4,8,6]=>[1,3,7,5,2,8,4,6]
[8,7,2,1,5,3,4,6]=>[2,7,5,3,1,4,8,6]
[3,6,1,5,8,7,4,2]=>[6,4,3,7,1,5,8,2]
[8,3,6,4,5,1,7,2]=>[5,7,8,6,4,3,1,2]
[5,4,6,8,1,2,7,3]=>[8,1,7,5,4,6,2,3]
[6,4,7,2,3,5,8,1]=>[8,7,2,6,3,4,5,1]
[6,8,4,1,3,5,7,2]=>[4,8,2,7,3,6,5,1]
[3,4,7,8,6,2,5,1]=>[5,6,3,4,2,8,7,1]
[4,1,3,5,7,8,6,2]=>[4,6,1,3,5,8,7,2]
[6,5,1,8,4,7,3,2]=>[5,3,6,7,8,2,1,4]
[5,3,1,8,4,7,6,2]=>[3,5,6,7,2,8,1,4]
[8,2,7,4,6,1,3,5]=>[6,8,1,7,3,4,2,5]
[4,7,3,2,8,1,6,5]=>[8,3,7,4,6,1,2,5]
[6,3,1,4,7,2,8,5]=>[3,6,7,2,8,4,1,5]
[8,7,3,6,1,5,2,4]=>[6,5,7,2,1,3,8,4]
[7,4,3,6,8,2,5,1]=>[5,8,4,7,2,3,6,1]
[2,4,7,3,8,5,6,1]=>[6,2,7,4,8,5,3,1]
[2,8,6,1,5,7,3,4]=>[6,2,8,1,3,7,5,4]
[7,8,2,5,4,3,1,6]=>[3,4,5,8,2,1,7,6]
[1,8,3,4,2,7,6,5]=>[1,4,8,3,6,7,2,5]
[8,5,3,7,4,2,6,1]=>[6,4,7,5,8,3,2,1]
[5,7,3,2,4,1,8,6]=>[4,3,7,2,5,8,1,6]
[2,8,3,4,7,1,5,6]=>[7,2,8,3,1,5,4,6]
[4,1,3,6,7,8,2,5]=>[4,8,1,3,2,6,7,5]
[1,7,6,3,2,5,8,4]=>[1,3,6,7,4,8,5,2]
[3,8,1,5,6,2,7,4]=>[8,6,3,7,1,5,2,4]
[8,2,5,6,1,7,4,3]=>[6,8,4,7,2,5,1,3]
[7,1,5,2,8,6,4,3]=>[7,5,4,6,1,8,2,3]
[6,5,4,8,7,2,1,3]=>[2,7,1,5,6,4,8,3]
[1,8,6,4,5,2,7,3]=>[1,5,7,6,4,8,2,3]
[1,8,5,3,6,2,7,4]=>[1,6,5,8,7,4,2,3]
[3,6,2,1,7,5,8,4]=>[2,6,3,8,7,1,5,4]
[2,5,4,1,8,7,6,3]=>[4,2,5,6,3,7,8,1]
[4,7,2,6,5,8,1,3]=>[8,7,1,4,6,2,5,3]
[6,8,1,4,2,7,3,5]=>[8,4,7,1,3,6,2,5]
[6,3,4,7,1,8,2,5]=>[7,8,6,3,2,4,1,5]
[3,4,7,8,2,5,6,1]=>[6,8,3,4,2,5,7,1]
[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]
[5,2,4,1,6,8,7,3]=>[4,5,7,2,1,6,8,3]
[3,2,5,7,6,1,8,4]=>[6,3,2,7,5,8,4,1]
[4,3,5,6,1,8,7,2]=>[6,7,4,3,5,1,8,2]
[5,3,4,1,7,6,8,2]=>[4,8,5,3,1,7,6,2]
[3,1,4,6,5,7,8,2]=>[3,8,1,4,6,5,7,2]
[1,4,7,3,5,6,8,2]=>[1,8,7,4,3,5,6,2]
[5,1,3,6,4,8,7,2]=>[5,7,1,6,3,4,8,2]
[1,3,2,7,5,8,6,4]=>[1,3,2,6,8,7,4,5]
[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]
[1,4,2,7,8,5,6,3]=>[1,4,6,2,8,5,7,3]
[5,1,2,6,8,4,7,3]=>[5,1,7,8,2,6,4,3]
[3,1,2,6,5,8,4,7]=>[3,1,2,8,6,5,4,7]
[4,1,2,6,8,5,3,7]=>[4,1,5,2,8,6,3,7]
[1,5,2,4,8,7,6,3]=>[1,5,6,2,4,7,8,3]
[1,2,6,4,8,7,5,3]=>[1,2,5,7,6,3,8,4]
[1,2,7,4,8,6,5,3]=>[1,2,5,6,8,7,4,3]
[1,3,2,7,5,8,4,6]=>[1,3,2,8,7,4,5,6]
[2,3,1,7,5,4,8,6]=>[3,2,1,5,7,8,4,6]
[1,3,2,8,5,7,4,6]=>[1,3,2,7,8,4,5,6]
[1,4,2,5,8,7,3,6]=>[1,4,7,2,5,3,8,6]
[1,5,2,4,8,7,3,6]=>[1,5,7,2,4,3,8,6]
[1,2,6,4,8,7,3,5]=>[1,2,7,6,3,4,8,5]
[1,2,7,8,5,6,3,4]=>[1,2,6,3,8,5,7,4]
[1,2,6,8,5,7,3,4]=>[1,2,7,3,8,6,5,4]
[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]
[1,3,8,2,6,7,4,5]=>[1,8,3,7,4,2,6,5]
[1,4,7,2,8,6,3,5]=>[1,7,6,4,3,8,2,5]
[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]
[1,2,6,8,3,7,5,4]=>[1,2,8,5,7,6,3,4]
[1,5,7,8,2,3,6,4]=>[1,8,2,6,5,3,7,4]
[1,5,2,7,8,4,6,3]=>[1,5,6,8,2,4,7,3]
[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]
[1,3,6,2,4,8,7,5]=>[1,6,3,2,7,4,8,5]
[1,6,7,3,4,8,5,2]=>[1,5,8,2,7,6,4,3]
[1,5,3,7,4,8,6,2]=>[1,6,5,8,3,7,2,4]
[2,8,4,1,5,3,7,6]=>[4,2,8,5,3,7,1,6]
[3,8,4,1,5,7,2,6]=>[4,8,3,7,2,1,5,6]
[1,3,6,4,2,8,7,5]=>[1,4,3,6,7,2,8,5]
[1,3,7,4,2,8,6,5]=>[1,4,3,7,6,8,2,5]
[1,3,8,4,2,7,6,5]=>[1,4,3,8,6,7,2,5]
[1,2,8,4,7,3,6,5]=>[1,2,7,8,6,3,4,5]
[1,2,7,4,8,3,6,5]=>[1,2,8,7,6,3,4,5]
[1,2,6,4,8,3,7,5]=>[1,2,8,6,7,4,3,5]
[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]
[1,8,4,5,7,2,3,6]=>[1,7,2,8,4,3,5,6]
[1,8,3,5,2,7,4,6]=>[1,5,8,7,3,4,2,6]
[2,8,3,5,1,4,7,6]=>[5,2,8,1,3,7,4,6]
[2,3,8,6,1,4,7,5]=>[6,2,3,1,8,7,5,4]
[1,3,8,6,2,7,4,5]=>[1,6,3,8,2,7,4,5]
[1,4,8,6,7,2,3,5]=>[1,7,2,4,3,8,6,5]
[1,5,6,8,7,2,3,4]=>[1,7,2,3,5,6,8,4]
[1,2,6,8,5,3,7,4]=>[1,2,5,8,7,6,4,3]
[1,2,7,8,5,3,6,4]=>[1,2,5,8,6,4,7,3]
[1,2,5,8,7,3,6,4]=>[1,2,7,6,5,3,8,4]
[1,2,6,8,7,3,5,4]=>[1,2,7,5,3,6,8,4]
[1,2,7,8,6,3,5,4]=>[1,2,6,5,3,8,7,4]
[1,6,7,8,5,2,3,4]=>[1,5,2,3,8,6,7,4]
[1,5,7,8,6,2,3,4]=>[1,6,2,3,5,8,7,4]
[1,4,7,6,8,2,3,5]=>[1,8,2,4,3,7,6,5]
[1,3,7,6,2,8,4,5]=>[1,6,3,7,2,8,4,5]
[2,3,8,7,4,1,6,5]=>[4,2,3,7,6,1,8,5]
[1,2,8,4,7,6,3,5]=>[1,2,6,7,4,8,3,5]
[1,2,5,8,7,6,3,4]=>[1,2,6,3,5,7,8,4]
[1,2,6,8,7,5,3,4]=>[1,2,5,3,7,6,8,4]
[1,2,7,8,6,5,3,4]=>[1,2,5,3,6,8,7,4]
[5,2,6,7,3,4,8,1]=>[8,5,7,3,2,6,4,1]
[5,2,4,7,6,3,8,1]=>[8,5,6,2,4,7,3,1]
[5,6,2,1,7,8,3,4]=>[2,6,8,3,5,1,7,4]
[5,6,2,1,4,8,7,3]=>[2,6,7,1,5,4,8,3]
[2,6,1,4,5,8,7,3]=>[6,2,7,1,4,5,8,3]
[5,4,2,7,6,3,8,1]=>[8,4,5,6,3,7,2,1]
[2,3,7,6,4,5,8,1]=>[8,2,3,6,4,7,5,1]
[2,6,1,7,5,8,3,4]=>[6,2,8,3,7,1,5,4]
[2,6,1,7,4,8,5,3]=>[6,2,5,8,7,1,3,4]
[5,1,2,7,8,4,3,6]=>[5,1,4,8,2,3,7,6]
[2,6,1,7,4,8,3,5]=>[6,2,8,7,3,1,4,5]
[3,6,4,1,7,8,2,5]=>[4,6,3,8,1,2,7,5]
[5,4,6,1,3,8,7,2]=>[6,7,1,5,4,3,8,2]
[3,6,4,1,5,8,7,2]=>[4,6,3,7,2,5,8,1]
[2,6,1,5,4,8,7,3]=>[6,2,7,5,1,4,8,3]
[2,6,1,4,7,8,5,3]=>[6,2,5,1,8,4,7,3]
[5,1,2,4,8,6,7,3]=>[5,1,7,2,4,8,6,3]
[5,1,2,4,8,7,3,6]=>[5,1,7,2,4,3,8,6]
[5,1,2,4,8,7,6,3]=>[5,1,6,2,4,7,8,3]
[1,2,3,8,5,4,7,6]=>[1,2,3,5,8,7,4,6]
[4,3,1,2,8,5,7,6]=>[3,1,4,2,8,7,5,6]
[2,1,5,3,8,6,4,7]=>[2,1,5,6,3,8,4,7]
[1,2,3,8,5,6,4,7]=>[1,2,3,6,8,5,4,7]
[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]
[1,2,3,8,6,5,4,7]=>[1,2,3,5,6,8,4,7]
[1,2,3,8,5,4,6,7]=>[1,2,3,5,8,4,6,7]
[2,6,1,5,4,8,3,7]=>[6,2,8,5,1,4,3,7]
[5,1,2,4,8,6,3,7]=>[5,1,6,2,4,8,3,7]
[5,1,2,4,8,3,7,6]=>[5,1,8,2,4,7,3,6]
[5,6,3,1,4,8,2,7]=>[3,6,8,2,5,4,1,7]
[2,5,4,3,1,8,6,7]=>[3,2,4,5,1,8,6,7]
[5,4,6,3,1,8,7,2]=>[3,6,7,5,4,2,8,1]
[3,6,4,5,1,8,7,2]=>[5,7,3,6,4,1,8,2]
[3,6,5,4,1,8,7,2]=>[4,5,3,6,7,1,8,2]
[5,2,6,1,7,8,4,3]=>[6,5,4,8,2,1,7,3]
[5,1,6,2,8,7,3,4]=>[5,6,7,3,1,2,8,4]
[2,1,3,7,8,6,4,5]=>[2,1,3,6,4,8,7,5]
[2,1,3,7,8,5,6,4]=>[2,1,3,6,8,5,7,4]
[5,2,4,1,7,8,6,3]=>[4,5,6,2,1,8,7,3]
[4,3,1,2,8,6,7,5]=>[3,1,4,2,7,8,6,5]
[5,1,4,2,8,6,7,3]=>[5,4,7,1,2,8,6,3]
[2,1,3,6,8,5,7,4]=>[2,1,3,7,8,6,5,4]
[1,2,3,8,6,7,4,5]=>[1,2,3,7,4,8,6,5]
[1,2,3,8,7,5,4,6]=>[1,2,3,5,7,4,8,6]
[1,2,3,8,7,4,5,6]=>[1,2,3,7,4,5,8,6]
[1,2,3,8,5,7,4,6]=>[1,2,3,7,8,4,5,6]
[2,1,3,6,8,7,4,5]=>[2,1,3,7,4,6,8,5]
[5,4,1,2,8,7,6,3]=>[4,1,5,6,3,7,8,2]
[3,1,6,2,8,7,5,4]=>[3,6,1,5,7,2,8,4]
[1,2,8,4,5,3,6,7]=>[1,2,5,8,4,3,6,7]
[1,8,3,4,2,5,6,7]=>[1,4,8,3,2,5,6,7]
[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]
[8,4,7,6,5,3,2,1]=>[2,3,5,6,7,8,4,1]
[8,4,7,5,6,3,2,1]=>[2,3,6,8,7,5,4,1]
[8,5,7,4,6,3,2,1]=>[2,3,6,7,8,4,5,1]
[8,7,6,3,5,4,2,1]=>[2,4,5,6,1,7,8,3]
[8,6,7,3,5,4,2,1]=>[2,4,5,7,1,8,6,3]
[8,5,7,3,6,4,2,1]=>[2,4,6,7,8,1,5,3]
[8,1,7,4,6,5,3,2]=>[8,3,5,6,7,2,1,4]
[8,1,7,3,6,5,4,2]=>[8,4,5,6,7,3,1,2]
[8,2,7,3,6,5,4,1]=>[4,5,6,8,7,2,1,3]
[8,3,7,2,6,5,4,1]=>[4,5,6,7,8,1,2,3]
[8,5,7,2,6,4,3,1]=>[3,4,6,7,8,2,5,1]
[8,6,7,2,5,4,3,1]=>[3,4,5,7,2,8,6,1]
[8,7,6,2,5,4,3,1]=>[3,4,5,6,2,7,8,1]
[8,4,7,1,6,5,3,2]=>[7,3,5,6,8,1,2,4]
[8,3,7,1,6,5,4,2]=>[7,4,5,6,8,1,3,2]
[8,2,7,1,6,5,4,3]=>[7,8,4,5,6,1,2,3]
[8,1,7,2,6,5,4,3]=>[8,7,4,5,6,2,1,3]
[8,7,6,2,5,3,4,1]=>[4,6,5,3,2,7,8,1]
[8,1,7,6,5,3,4,2]=>[8,4,5,3,6,7,1,2]
[8,3,7,6,5,2,4,1]=>[4,5,6,2,7,8,3,1]
[8,4,7,6,5,2,3,1]=>[3,5,2,6,7,8,4,1]
[8,5,7,6,4,2,3,1]=>[3,4,2,6,7,8,1,5]
[8,6,7,5,4,1,3,2]=>[4,3,1,5,7,8,6,2]
[8,5,7,6,4,1,3,2]=>[4,3,1,6,7,8,2,5]
[8,3,7,6,5,1,4,2]=>[5,4,6,1,7,8,3,2]
[8,7,6,4,5,1,3,2]=>[5,3,1,6,4,7,8,2]
[8,7,6,2,5,1,4,3]=>[5,6,4,1,2,7,8,3]
[8,7,6,1,5,2,4,3]=>[6,5,4,2,1,7,8,3]
[6,8,1,3,2,5,4,7]=>[8,3,1,5,2,6,4,7]
[6,8,1,4,2,5,3,7]=>[8,4,5,1,2,6,3,7]
[7,8,3,6,1,4,2,5]=>[6,4,8,1,2,3,7,5]
[7,8,2,5,3,6,1,4]=>[6,8,5,1,2,3,7,4]
[7,8,2,5,1,4,3,6]=>[5,8,4,1,2,3,7,6]
[7,8,1,4,3,6,2,5]=>[8,6,4,1,2,3,7,5]
[5,8,1,4,3,7,2,6]=>[8,7,4,1,5,2,3,6]
[6,8,2,5,1,4,3,7]=>[5,8,4,1,2,6,3,7]
[6,8,2,5,3,7,1,4]=>[7,8,5,1,2,6,3,4]
[6,8,2,5,4,7,1,3]=>[7,8,1,5,2,6,4,3]
[2,5,4,7,6,8,1,3]=>[8,2,1,5,4,7,6,3]
[2,5,3,7,6,8,1,4]=>[8,2,5,1,3,7,6,4]
[2,5,1,4,3,7,6,8]=>[5,2,4,1,3,7,6,8]
[2,6,1,4,3,7,5,8]=>[6,2,4,1,7,3,5,8]
[2,6,5,8,1,4,3,7]=>[8,2,4,1,6,5,3,7]
[2,6,1,5,3,7,4,8]=>[6,2,5,7,1,3,4,8]
[2,6,3,7,4,8,1,5]=>[8,2,6,7,1,3,4,5]
[2,6,4,7,5,8,1,3]=>[8,2,1,6,7,4,5,3]
[5,8,3,6,4,7,1,2]=>[7,1,8,6,5,3,4,2]
[5,8,2,6,4,7,1,3]=>[7,8,1,6,5,2,4,3]
[4,8,2,6,3,7,1,5]=>[7,8,6,4,1,2,3,5]
[4,8,1,5,3,7,2,6]=>[8,7,5,4,1,2,3,6]
[4,8,1,5,2,6,3,7]=>[8,5,6,4,1,2,3,7]
[4,8,3,7,1,5,2,6]=>[7,5,8,4,1,2,3,6]
[6,8,3,7,1,4,2,5]=>[7,4,8,1,2,6,3,5]
[5,8,1,3,2,6,4,7]=>[8,3,1,6,5,2,4,7]
[5,8,4,7,1,3,2,6]=>[7,3,1,8,5,2,4,6]
[6,8,4,7,1,3,2,5]=>[7,3,1,8,2,6,4,5]
[6,8,5,7,1,3,2,4]=>[7,3,1,2,8,6,5,4]
[5,7,6,8,2,4,1,3]=>[4,8,1,2,5,7,6,3]
[4,7,6,8,1,3,2,5]=>[8,3,1,4,2,7,6,5]
[4,7,5,8,1,3,2,6]=>[8,3,1,4,7,2,5,6]
[4,7,1,3,2,6,5,8]=>[7,3,1,4,6,2,5,8]
[3,7,1,4,2,6,5,8]=>[7,4,3,1,6,2,5,8]
[3,7,5,8,1,4,2,6]=>[8,4,3,1,7,2,5,6]
[3,7,6,8,1,4,2,5]=>[8,4,3,1,2,7,6,5]
[3,7,6,8,2,5,1,4]=>[5,8,3,1,2,7,6,4]
[4,7,6,8,2,5,1,3]=>[5,8,1,4,2,7,6,3]
[4,7,5,8,3,6,1,2]=>[6,1,8,4,7,3,5,2]
[4,7,5,8,2,6,1,3]=>[6,8,1,4,7,2,5,3]
[3,7,5,8,2,6,1,4]=>[6,8,3,1,7,2,5,4]
[3,7,4,8,2,6,1,5]=>[6,8,3,7,1,2,4,5]
[3,7,4,8,1,5,2,6]=>[8,5,3,7,1,2,4,6]
[3,7,1,5,2,6,4,8]=>[7,5,3,6,1,2,4,8]
[3,7,2,6,1,5,4,8]=>[6,7,3,5,1,2,4,8]
[3,7,2,6,5,8,1,4]=>[8,7,3,1,6,2,5,4]
[4,7,3,6,5,8,1,2]=>[8,1,7,4,6,3,5,2]
[3,6,5,8,4,7,1,2]=>[7,1,3,8,6,5,4,2]
[2,6,5,8,4,7,1,3]=>[7,2,1,8,6,5,4,3]
[2,6,5,8,3,7,1,4]=>[7,2,8,1,6,5,3,4]
[2,6,3,7,1,5,4,8]=>[7,2,6,5,1,3,4,8]
[7,6,4,2,8,5,3,1]=>[3,5,4,8,6,7,2,1]
[7,6,4,3,8,2,5,1]=>[5,8,4,6,2,7,3,1]
[7,6,4,8,5,2,3,1]=>[3,5,2,8,6,7,1,4]
[6,8,4,3,7,2,1,5]=>[2,7,4,8,1,6,3,5]
[6,7,4,3,5,1,8,2]=>[5,8,4,7,3,6,1,2]
[6,7,3,5,4,8,2,1]=>[2,8,7,5,3,6,4,1]
[6,8,3,7,5,2,4,1]=>[4,5,7,3,8,6,2,1]
[7,6,8,3,5,2,4,1]=>[4,5,8,2,3,7,6,1]
[7,6,3,5,8,2,4,1]=>[4,8,6,2,3,7,5,1]
[7,6,3,5,2,4,8,1]=>[8,5,6,2,3,7,4,1]
[7,6,4,2,5,1,8,3]=>[5,4,6,7,2,8,1,3]
[7,6,2,8,4,1,5,3]=>[4,8,6,5,2,7,3,1]
[7,6,3,8,2,4,1,5]=>[4,8,6,2,1,7,3,5]
[7,6,3,4,8,2,5,1]=>[5,8,6,3,2,7,4,1]
[6,8,3,7,4,5,2,1]=>[2,5,8,7,4,6,3,1]
[6,7,3,5,8,4,2,1]=>[2,4,8,7,1,6,5,3]
[5,7,8,3,6,2,1,4]=>[2,6,8,1,5,3,7,4]
[5,8,3,6,7,2,1,4]=>[2,7,8,1,5,3,6,4]
[6,3,4,8,7,2,5,1]=>[5,7,6,3,2,4,8,1]
[6,3,8,4,7,2,1,5]=>[2,7,6,8,1,3,4,5]
[6,2,8,4,1,7,5,3]=>[4,8,6,5,7,3,2,1]
[6,2,7,4,1,5,3,8]=>[4,7,6,5,2,3,1,8]
[6,3,4,7,5,8,2,1]=>[2,8,6,3,7,4,5,1]
[6,3,5,7,8,4,2,1]=>[2,4,8,6,1,5,7,3]
[5,7,3,6,8,2,1,4]=>[2,8,7,1,5,3,6,4]
[5,6,8,3,7,2,1,4]=>[2,7,8,1,5,6,3,4]
[5,6,7,3,4,1,8,2]=>[4,8,7,3,5,6,1,2]
[4,6,7,8,3,5,2,1]=>[2,5,8,4,3,6,7,1]
[4,6,8,3,5,7,2,1]=>[2,7,8,4,3,6,5,1]
[4,7,3,5,6,8,2,1]=>[2,8,7,4,3,5,6,1]
[4,7,3,5,8,2,6,1]=>[6,8,7,4,3,2,5,1]
[5,3,4,7,8,2,1,6]=>[2,8,5,3,4,1,7,6]
[5,3,8,2,4,1,6,7]=>[4,8,5,2,3,1,6,7]
[5,3,4,8,2,6,1,7]=>[6,8,5,3,4,2,1,7]
[4,8,3,6,2,5,7,1]=>[7,6,8,4,2,3,5,1]
[4,8,3,5,7,2,6,1]=>[6,7,8,4,3,2,5,1]
[4,8,3,5,6,7,2,1]=>[2,7,8,4,3,5,6,1]
[4,7,8,3,5,6,2,1]=>[2,6,8,4,3,5,7,1]
[4,7,8,3,6,2,5,1]=>[5,6,8,4,2,3,7,1]
[4,8,3,6,7,2,5,1]=>[5,7,8,4,2,3,6,1]
[4,8,3,7,2,5,6,1]=>[6,7,8,4,2,5,3,1]
[5,3,4,8,2,7,6,1]=>[6,7,5,3,4,8,1,2]
[5,3,8,2,4,1,7,6]=>[4,8,5,2,3,7,1,6]
[5,2,8,4,1,7,3,6]=>[4,8,5,7,3,1,2,6]
[6,4,2,5,1,8,7,3]=>[5,4,6,7,3,1,8,2]
[6,4,3,5,8,2,1,7]=>[2,8,4,6,3,5,1,7]
[6,3,5,8,7,2,4,1]=>[4,7,6,2,3,5,8,1]
[5,8,3,7,2,6,4,1]=>[4,6,7,8,5,3,1,2]
[5,7,3,4,8,2,1,6]=>[2,8,7,3,5,1,4,6]
[5,8,4,2,3,1,6,7]=>[3,4,2,8,5,1,6,7]
[5,8,4,2,3,1,7,6]=>[3,4,2,8,5,7,1,6]
[6,4,5,3,8,2,1,7]=>[2,8,5,6,4,3,1,7]
[6,4,8,5,3,7,2,1]=>[2,7,5,8,6,3,4,1]
[6,4,3,8,5,7,2,1]=>[2,7,4,6,8,3,5,1]
[6,4,2,8,5,3,1,7]=>[3,5,4,8,6,2,1,7]
[6,4,2,7,3,1,8,5]=>[3,7,4,6,8,1,2,5]
[6,4,3,7,8,5,2,1]=>[2,5,4,8,6,1,7,3]
[6,4,5,3,7,1,8,2]=>[7,8,5,6,4,3,1,2]
[5,7,4,2,3,1,6,8]=>[3,4,2,7,5,1,6,8]
[5,6,3,7,1,8,2,4]=>[7,8,6,2,5,3,1,4]
[5,6,3,4,7,1,8,2]=>[7,8,6,3,5,4,1,2]
[5,6,3,4,8,2,1,7]=>[2,8,6,3,5,4,1,7]
[6,3,5,7,4,8,2,1]=>[2,8,6,7,3,5,4,1]
[6,3,5,4,7,8,2,1]=>[2,8,6,5,3,4,7,1]
[6,4,3,5,7,1,8,2]=>[7,8,4,6,3,5,1,2]
[6,4,2,5,1,7,3,8]=>[5,4,6,7,3,1,2,8]
[5,3,7,2,4,1,6,8]=>[4,7,5,2,3,1,6,8]
[5,3,4,7,2,6,1,8]=>[6,7,5,3,4,2,1,8]
[4,7,3,6,2,5,8,1]=>[8,6,7,4,2,3,5,1]
[4,7,3,6,8,2,5,1]=>[5,8,7,4,2,3,6,1]
[4,6,7,3,5,8,2,1]=>[2,8,7,4,3,6,5,1]
[4,5,7,8,3,6,2,1]=>[2,6,8,4,5,3,7,1]
[4,5,8,3,6,7,2,1]=>[2,7,8,4,5,3,6,1]
[4,5,8,3,7,2,6,1]=>[6,7,8,4,5,2,3,1]
[5,3,4,6,8,2,1,7]=>[2,8,5,3,4,6,1,7]
[5,3,6,8,2,1,4,7]=>[2,8,5,1,3,6,4,7]
[5,3,6,7,1,8,2,4]=>[7,8,5,2,3,6,1,4]
[5,3,4,6,7,1,8,2]=>[7,8,5,3,4,6,1,2]
[4,6,3,5,7,8,2,1]=>[2,8,6,4,3,5,7,1]
[4,5,7,3,6,8,2,1]=>[2,8,7,4,5,3,6,1]
[4,5,6,8,3,7,2,1]=>[2,7,8,4,5,6,3,1]
[5,7,4,8,6,3,2,1]=>[2,3,6,8,5,7,1,4]
[3,2,6,5,1,8,7,4]=>[5,3,2,6,7,4,8,1]
[3,5,6,7,2,8,4,1]=>[4,8,3,7,5,6,1,2]
[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]
[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]
[1,7,2,3,6,4,8,5]=>[1,7,2,6,8,3,4,5]
[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]
[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]
[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]
[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]
[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]
[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]
[1,5,8,2,3,7,4,6]=>[1,8,2,7,5,4,3,6]
[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]
[5,3,6,1,2,4,8,7]=>[6,1,5,2,3,4,8,7]
[7,1,5,8,4,2,3,6]=>[7,4,2,8,1,3,5,6]
[8,1,5,7,4,2,3,6]=>[8,4,2,7,1,3,5,6]
[7,1,4,5,8,2,3,6]=>[7,8,2,1,4,3,5,6]
[7,4,1,6,2,8,3,5]=>[4,7,6,8,1,2,3,5]
[8,4,1,7,2,6,3,5]=>[4,8,7,6,1,3,2,5]
[8,1,4,7,5,2,3,6]=>[8,5,2,1,7,3,4,6]
[8,1,5,4,7,2,3,6]=>[8,7,2,5,1,3,4,6]
[2,1,7,5,8,3,4,6]=>[2,1,8,3,7,4,5,6]
[7,1,5,4,8,2,3,6]=>[7,8,2,5,1,3,4,6]
[7,1,4,8,5,2,3,6]=>[7,5,2,1,8,3,4,6]
[6,4,1,7,2,3,8,5]=>[4,6,1,7,8,2,3,5]
[7,8,3,1,2,4,6,5]=>[3,1,8,2,6,4,7,5]
[8,7,1,6,4,2,3,5]=>[7,4,2,6,3,1,8,5]
[8,6,1,7,4,2,3,5]=>[6,4,1,8,3,7,2,5]
[7,6,1,8,4,2,3,5]=>[6,4,1,7,3,8,2,5]
[7,3,8,1,2,4,6,5]=>[8,1,7,2,6,4,3,5]
[8,3,7,1,2,4,6,5]=>[7,1,8,2,6,4,3,5]
[8,3,6,1,2,4,7,5]=>[6,1,8,2,7,3,4,5]
[8,3,7,5,1,2,4,6]=>[5,1,7,3,8,4,2,6]
[7,3,6,1,2,4,8,5]=>[6,1,7,2,8,3,4,5]
[6,7,1,8,4,2,3,5]=>[7,4,2,8,3,6,1,5]
[6,8,1,7,4,2,3,5]=>[8,4,2,7,3,6,1,5]
[7,1,8,5,4,2,3,6]=>[7,4,2,5,8,3,1,6]
[7,1,8,4,5,2,3,6]=>[7,5,2,8,4,3,1,6]
[2,1,7,8,5,3,4,6]=>[2,1,5,3,8,4,7,6]
[7,6,3,1,2,4,8,5]=>[3,1,6,2,7,8,5,4]
[6,1,2,3,8,7,5,4]=>[6,1,2,5,7,3,8,4]
[6,8,1,4,2,3,7,5]=>[8,4,2,1,7,6,3,5]
[6,8,3,1,2,7,4,5]=>[3,1,8,7,4,6,2,5]
[6,7,3,1,2,8,4,5]=>[3,1,7,8,4,6,2,5]
[6,7,1,4,2,3,8,5]=>[7,4,2,1,8,6,3,5]
[4,3,6,8,5,7,1,2]=>[7,1,4,3,8,6,5,2]
[6,1,2,5,4,8,3,7]=>[6,1,8,5,2,4,3,7]
[3,2,8,5,4,1,7,6]=>[4,3,2,5,8,7,1,6]
[7,8,2,1,4,6,3,5]=>[2,8,6,1,3,4,7,5]
[7,2,1,5,8,3,4,6]=>[2,7,8,3,1,4,5,6]
[2,4,8,5,1,3,6,7]=>[5,2,1,4,8,3,6,7]
[3,5,6,1,8,4,2,7]=>[6,4,3,8,5,1,2,7]
[1,3,6,8,7,4,2,5]=>[1,4,3,7,2,6,8,5]
[1,2,8,5,7,3,4,6]=>[1,2,7,3,8,4,5,6]
[2,6,1,5,8,3,4,7]=>[6,2,8,3,1,5,4,7]
[5,7,1,6,8,4,3,2]=>[7,3,4,8,5,1,6,2]
[4,8,1,2,5,7,3,6]=>[8,1,7,4,2,3,5,6]
[8,4,6,2,5,7,3,1]=>[3,7,6,8,1,4,5,2]
[8,3,6,4,7,2,5,1]=>[5,7,8,6,2,3,4,1]
[3,8,1,4,7,2,5,6]=>[8,7,3,1,2,5,4,6]
[1,7,8,4,6,2,5,3]=>[1,6,5,8,2,4,7,3]
[3,7,4,8,5,1,6,2]=>[5,8,3,6,7,2,1,4]
[3,7,1,6,5,4,8,2]=>[7,8,3,5,6,1,4,2]
[2,7,3,1,5,8,4,6]=>[3,2,7,8,1,4,5,6]
[2,7,4,6,8,1,3,5]=>[8,2,1,7,3,4,6,5]
[2,7,5,8,6,4,1,3]=>[4,2,1,6,8,7,3,5]
[8,2,6,7,5,4,3,1]=>[3,4,5,7,8,1,6,2]
[3,8,7,1,6,4,5,2]=>[7,5,3,6,4,1,8,2]
[3,6,8,2,7,4,1,5]=>[4,7,3,8,2,6,1,5]
[1,5,2,8,7,4,6,3]=>[1,5,6,7,2,4,8,3]
[3,4,2,7,8,1,6,5]=>[8,4,3,2,6,1,7,5]
[4,1,3,7,5,6,8,2]=>[4,8,1,3,7,5,6,2]
[6,3,8,1,7,4,2,5]=>[8,4,7,6,3,2,1,5]
[6,5,8,7,1,4,2,3]=>[7,4,2,1,6,5,8,3]
[4,1,7,3,8,5,2,6]=>[4,5,8,1,7,3,2,6]
[3,6,1,4,5,8,2,7]=>[6,8,3,1,4,5,2,7]
[1,6,7,4,5,3,8,2]=>[1,8,5,7,4,6,3,2]
[6,1,7,3,5,4,8,2]=>[6,8,7,5,3,1,4,2]
[6,3,1,2,5,8,4,7]=>[3,1,6,8,2,5,4,7]
[1,4,7,2,8,5,3,6]=>[1,7,5,4,8,3,2,6]
[5,6,8,7,2,4,1,3]=>[4,7,1,2,5,6,8,3]
[6,8,5,7,1,2,4,3]=>[7,1,4,2,8,6,5,3]
[2,8,4,1,7,5,6,3]=>[4,2,8,6,7,5,3,1]
[8,2,4,3,7,5,6,1]=>[6,8,4,2,7,5,3,1]
[6,8,2,1,5,7,3,4]=>[2,8,7,3,1,6,5,4]
[7,2,8,4,1,6,3,5]=>[4,8,7,6,1,2,3,5]
[1,2,4,8,6,5,3,7]=>[1,2,5,4,6,8,3,7]
[7,1,5,6,8,4,3,2]=>[7,3,4,8,1,5,6,2]
[2,7,8,1,4,6,3,5]=>[8,2,6,1,3,4,7,5]
[4,8,2,5,7,1,6,3]=>[7,8,6,4,2,1,5,3]
[4,1,6,8,5,3,7,2]=>[4,7,5,1,8,6,3,2]
[5,2,6,4,8,3,1,7]=>[3,8,5,6,1,4,2,7]
[6,7,1,3,4,5,8,2]=>[7,8,1,3,4,6,5,2]
[1,7,3,2,4,8,5,6]=>[1,3,7,2,8,5,4,6]
[1,3,6,5,2,8,4,7]=>[1,5,3,6,8,4,2,7]
[7,1,6,5,3,4,8,2]=>[7,8,5,3,6,1,4,2]
[6,3,4,2,8,7,5,1]=>[5,4,7,1,6,2,8,3]
[4,3,8,7,5,2,6,1]=>[6,5,4,3,7,2,8,1]
[6,8,7,4,2,3,5,1]=>[5,4,2,7,3,6,8,1]
[3,6,4,5,2,8,7,1]=>[7,5,3,6,4,2,8,1]
[8,6,1,3,5,4,2,7]=>[6,4,1,5,3,8,2,7]
[5,3,8,6,1,2,4,7]=>[6,1,5,2,3,8,4,7]
[2,5,6,3,4,8,7,1]=>[7,2,6,3,5,4,8,1]
[2,5,3,6,8,7,4,1]=>[4,2,7,5,1,6,8,3]
[4,8,7,3,5,2,6,1]=>[6,5,7,4,3,2,8,1]
[3,8,7,2,6,4,5,1]=>[5,7,3,6,4,2,8,1]
[6,3,5,4,8,7,2,1]=>[2,7,6,5,3,4,8,1]
[4,3,8,6,1,5,2,7]=>[6,5,4,3,1,8,2,7]
[4,7,6,2,5,3,8,1]=>[8,6,5,4,2,7,3,1]
[7,5,2,6,8,1,4,3]=>[8,5,4,1,7,2,6,3]
[8,5,2,7,1,4,3,6]=>[7,5,4,1,8,3,2,6]
[1,8,5,3,6,2,4,7]=>[1,6,5,2,8,3,4,7]
[5,1,7,2,4,3,8,6]=>[5,7,4,2,1,8,3,6]
[1,5,3,4,8,6,2,7]=>[1,6,5,3,4,8,2,7]
[5,4,1,3,8,6,2,7]=>[4,5,2,6,3,8,1,7]
[5,1,8,6,3,4,2,7]=>[5,4,6,3,1,8,2,7]
[4,5,2,8,3,7,6,1]=>[6,5,7,4,2,8,1,3]
[8,2,3,7,6,4,5,1]=>[5,8,2,6,4,7,3,1]
[5,8,2,4,7,6,3,1]=>[3,6,7,2,5,8,4,1]
[6,8,2,5,3,4,7,1]=>[7,8,5,3,2,6,4,1]
[7,2,5,6,4,8,1,3]=>[8,7,1,6,2,5,4,3]
[1,6,7,4,8,2,3,5]=>[1,8,2,7,3,6,4,5]
[7,1,3,5,8,2,6,4]=>[7,8,1,6,3,2,5,4]
[8,2,1,3,5,6,7,4]=>[2,8,1,7,3,5,6,4]
[6,3,1,4,7,5,8,2]=>[3,6,8,2,7,4,5,1]
[4,1,3,8,2,6,7,5]=>[4,8,1,3,7,2,6,5]
[2,8,3,6,7,5,4,1]=>[4,2,5,7,8,3,6,1]
[3,1,7,2,8,5,4,6]=>[3,7,1,5,8,4,2,6]
[3,6,1,4,7,2,8,5]=>[6,7,3,1,8,4,2,5]
[1,5,8,4,7,2,3,6]=>[1,7,2,8,5,3,4,6]
[7,1,3,6,2,8,4,5]=>[7,6,1,8,4,3,2,5]
[6,2,7,4,5,8,1,3]=>[8,6,1,7,4,2,5,3]
[2,1,8,4,5,7,3,6]=>[2,1,7,8,4,3,5,6]
[1,8,5,7,3,2,4,6]=>[1,3,7,2,8,4,5,6]
[2,1,8,5,4,3,6,7]=>[2,1,4,5,8,3,6,7]
[2,7,4,1,5,3,8,6]=>[4,2,7,5,3,8,1,6]
[7,4,8,6,2,3,1,5]=>[3,6,2,8,4,7,1,5]
[2,7,1,4,6,3,8,5]=>[7,2,6,1,8,4,3,5]
[4,7,5,6,8,1,3,2]=>[8,3,1,4,7,5,6,2]
[7,1,3,2,8,5,4,6]=>[7,3,1,5,8,4,2,6]
[2,8,5,4,1,3,6,7]=>[4,2,1,5,8,3,6,7]
[5,1,7,4,2,3,8,6]=>[5,4,2,7,1,8,3,6]
[3,8,6,5,1,4,2,7]=>[5,4,3,1,6,8,2,7]
[1,3,4,8,6,5,2,7]=>[1,5,3,4,6,8,2,7]
[4,1,8,6,5,3,2,7]=>[4,3,5,1,6,8,2,7]
[4,8,5,2,7,3,6,1]=>[6,5,8,4,7,2,3,1]
[7,2,8,5,3,6,4,1]=>[4,6,7,5,8,1,3,2]
[5,2,8,4,3,7,6,1]=>[6,5,4,7,2,8,1,3]
[8,4,7,5,2,3,6,1]=>[6,5,2,7,8,4,3,1]
[7,5,2,8,4,6,1,3]=>[6,5,1,7,8,2,4,3]
[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]
[6,7,5,1,2,8,3,4]=>[5,1,7,2,8,6,3,4]
[5,2,6,8,3,4,7,1]=>[7,5,8,3,2,6,4,1]
[7,6,2,4,5,8,3,1]=>[3,8,6,1,4,7,5,2]
[3,6,8,4,7,2,5,1]=>[5,7,3,8,2,6,4,1]
[7,6,3,8,4,2,5,1]=>[5,4,8,6,3,7,2,1]
[2,6,3,8,4,7,5,1]=>[5,2,7,6,8,4,1,3]
[7,2,3,6,5,8,4,1]=>[4,8,1,7,6,3,5,2]
[6,2,7,5,8,3,1,4]=>[3,8,6,2,7,1,5,4]
[2,8,3,6,4,5,7,1]=>[7,2,8,6,4,3,5,1]
[2,1,5,6,8,3,7,4]=>[2,1,8,7,5,6,3,4]
[5,8,1,2,6,4,7,3]=>[8,1,7,6,5,2,4,3]
[1,6,8,3,2,7,4,5]=>[1,3,8,7,4,6,2,5]
[6,5,7,2,8,4,1,3]=>[4,8,2,7,6,5,1,3]
[7,5,1,2,8,4,6,3]=>[5,1,7,6,8,2,3,4]
[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]
[5,8,2,7,4,3,6,1]=>[6,8,4,7,5,3,2,1]
[6,4,5,8,2,7,3,1]=>[3,7,8,6,4,5,1,2]
[5,7,3,6,4,8,2,1]=>[2,8,7,6,5,3,4,1]
[1,5,6,4,8,2,7,3]=>[1,8,7,6,5,4,2,3]
[3,1,5,6,4,8,7,2]=>[3,7,1,6,5,4,8,2]
[1,3,6,2,5,7,8,4]=>[1,6,3,8,2,5,7,4]
[1,4,6,3,5,7,8,2]=>[1,8,6,4,3,5,7,2]
[3,5,1,6,4,7,8,2]=>[5,8,3,6,1,4,7,2]
[3,6,1,4,2,7,8,5]=>[6,4,3,1,8,2,7,5]
[2,4,6,3,1,7,8,5]=>[3,2,6,4,8,1,7,5]
[1,3,6,5,2,7,8,4]=>[1,5,3,6,8,4,7,2]
[1,2,6,4,3,8,5,7]=>[1,2,4,6,8,3,5,7]
[1,2,6,3,5,8,7,4]=>[1,2,6,7,3,5,8,4]
[2,3,5,1,8,4,7,6]=>[5,2,3,8,1,7,4,6]
[2,3,6,1,8,5,4,7]=>[6,2,3,5,8,1,4,7]
[1,2,7,4,6,8,3,5]=>[1,2,8,7,3,4,6,5]
[2,3,7,5,1,8,4,6]=>[5,2,3,7,8,1,4,6]
[4,7,2,5,3,8,6,1]=>[6,8,5,4,1,7,3,2]
[3,1,7,5,4,8,6,2]=>[3,6,1,5,8,7,2,4]
[1,2,7,6,4,8,5,3]=>[1,2,5,8,6,7,3,4]
[1,2,7,3,6,8,5,4]=>[1,2,7,5,8,3,6,4]
[2,3,6,1,8,5,7,4]=>[6,2,3,7,8,1,5,4]
[3,1,5,4,8,7,6,2]=>[3,6,1,5,4,7,8,2]
[1,2,5,8,4,7,3,6]=>[1,2,7,8,5,3,4,6]
[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]
[1,3,6,8,5,2,7,4]=>[1,5,3,8,7,6,4,2]
[3,5,7,4,8,2,1,6]=>[2,8,3,7,5,1,4,6]
[2,4,7,6,8,3,1,5]=>[3,2,8,4,1,7,6,5]
[1,4,6,8,3,5,2,7]=>[1,5,8,4,3,6,2,7]
[1,3,6,8,5,2,4,7]=>[1,5,3,2,8,6,4,7]
[1,2,6,8,5,4,3,7]=>[1,2,4,5,8,6,3,7]
[1,2,5,8,4,3,7,6]=>[1,2,4,8,5,7,3,6]
[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]
[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]
[1,4,6,8,3,2,5,7]=>[1,3,8,4,2,6,5,7]
[3,5,7,4,8,1,2,6]=>[8,1,3,7,5,2,4,6]
[4,6,1,7,5,8,2,3]=>[6,8,2,4,7,1,5,3]
[2,3,6,7,5,8,1,4]=>[8,2,3,1,7,6,5,4]
[1,3,7,5,6,8,2,4]=>[1,8,3,2,7,5,6,4]
[2,3,6,5,8,1,7,4]=>[8,2,3,7,6,5,1,4]
[3,4,6,2,8,1,7,5]=>[8,6,3,4,7,2,1,5]
[3,5,4,6,8,2,1,7]=>[2,8,3,5,4,6,1,7]
[3,5,4,6,8,1,2,7]=>[8,1,3,5,4,6,2,7]
[1,2,4,7,5,8,3,6]=>[1,2,8,4,7,3,5,6]
[1,2,6,7,4,8,3,5]=>[1,2,8,7,3,6,4,5]
[3,6,4,7,1,8,5,2]=>[7,5,3,8,6,2,1,4]
[1,2,6,7,3,8,5,4]=>[1,2,7,5,8,6,3,4]
[1,2,5,7,3,8,6,4]=>[1,2,7,6,5,8,3,4]
[3,1,5,7,6,8,4,2]=>[3,4,1,8,5,7,6,2]
[3,5,4,6,8,2,7,1]=>[7,8,3,5,4,6,2,1]
[4,2,6,1,8,7,5,3]=>[6,4,5,2,7,1,8,3]
[3,1,6,5,8,7,4,2]=>[3,4,1,7,6,5,8,2]
[2,3,6,5,8,7,1,4]=>[7,2,3,1,6,5,8,4]
[1,2,7,4,6,8,5,3]=>[1,2,5,8,7,3,6,4]
[1,2,7,5,6,8,4,3]=>[1,2,4,8,7,5,6,3]
[3,1,6,7,5,8,4,2]=>[3,4,1,8,7,6,5,2]
[4,6,2,7,5,8,3,1]=>[3,8,6,4,7,1,5,2]
[3,5,7,4,8,2,6,1]=>[6,8,3,7,5,2,4,1]
[2,4,7,6,8,3,5,1]=>[5,2,8,4,3,7,6,1]
[1,4,6,8,3,5,7,2]=>[1,7,8,4,3,6,5,2]
[1,3,6,8,2,5,7,4]=>[1,8,3,7,2,6,5,4]
[1,3,5,8,2,7,4,6]=>[1,8,3,7,5,4,2,6]
[1,2,5,8,4,7,6,3]=>[1,2,6,7,5,8,3,4]
[1,2,4,8,7,3,6,5]=>[1,2,7,4,6,3,8,5]
[1,2,5,8,7,4,3,6]=>[1,2,4,7,5,3,8,6]
[1,3,5,8,7,2,4,6]=>[1,7,3,2,5,4,8,6]
[2,3,7,6,8,5,1,4]=>[5,2,3,1,8,7,6,4]
[5,7,1,2,8,6,4,3]=>[7,1,4,6,5,8,2,3]
[3,1,7,6,8,5,4,2]=>[3,4,1,5,8,7,6,2]
[1,2,6,8,5,7,4,3]=>[1,2,4,7,8,6,5,3]
[1,2,5,8,7,4,6,3]=>[1,2,6,7,5,4,8,3]
[1,2,4,8,7,6,3,5]=>[1,2,6,4,3,7,8,5]
[6,4,5,7,2,8,1,3]=>[8,7,1,6,4,5,2,3]
[5,3,4,7,2,8,1,6]=>[8,7,5,3,4,1,2,6]
[3,2,7,4,6,8,1,5]=>[8,3,2,7,1,4,6,5]
[5,3,6,2,7,1,4,8]=>[7,6,5,1,3,2,4,8]
[2,6,3,4,7,1,5,8]=>[7,2,6,3,1,4,5,8]
[2,7,3,4,5,8,1,6]=>[8,2,7,3,4,1,5,6]
[3,7,4,5,6,8,1,2]=>[8,1,3,7,4,5,6,2]
[2,5,7,3,6,8,1,4]=>[8,2,7,1,5,3,6,4]
[4,7,6,2,3,8,1,5]=>[8,6,2,4,1,7,3,5]
[7,3,5,2,4,8,1,6]=>[8,5,7,2,3,1,4,6]
[7,6,2,4,5,8,1,3]=>[8,6,1,2,4,7,5,3]
[6,5,2,3,4,8,1,7]=>[8,5,2,3,6,4,1,7]
[5,3,1,2,8,4,7,6]=>[3,1,5,8,2,7,4,6]
[6,5,2,3,7,1,4,8]=>[7,5,2,1,6,3,4,8]
[5,2,1,7,3,4,6,8]=>[2,5,7,3,1,4,6,8]
[5,2,1,8,3,4,6,7]=>[2,5,8,3,1,4,6,7]
[6,3,2,8,4,5,7,1]=>[7,3,6,8,4,2,5,1]
[7,3,1,2,8,4,6,5]=>[3,1,7,8,6,4,2,5]
[6,4,1,3,8,5,7,2]=>[4,6,2,7,8,3,5,1]
[6,2,3,1,8,4,7,5]=>[3,6,2,8,7,1,4,5]
[8,3,5,2,7,1,4,6]=>[7,5,8,1,3,4,2,6]
[8,6,2,4,7,1,5,3]=>[7,6,5,2,1,8,4,3]
[8,5,2,3,6,1,4,7]=>[6,5,2,1,8,3,4,7]
[8,2,1,7,3,4,5,6]=>[2,8,7,3,4,5,1,6]
[8,6,3,7,2,4,5,1]=>[5,7,6,2,4,8,3,1]
[7,1,6,2,3,4,5,8]=>[7,6,2,3,4,1,5,8]
[8,2,7,3,4,5,6,1]=>[6,8,7,3,4,5,2,1]
[8,1,6,2,3,4,5,7]=>[8,6,2,3,4,1,5,7]
[8,1,7,3,4,5,6,2]=>[8,6,7,3,4,5,1,2]
[8,6,1,7,2,4,5,3]=>[6,8,5,1,4,7,2,3]
[8,1,5,7,2,3,6,4]=>[8,7,2,6,1,3,5,4]
[1,7,5,8,2,3,6,4]=>[1,8,2,6,7,3,5,4]
[7,2,1,8,3,4,5,6]=>[2,7,8,3,4,5,1,6]
[7,3,8,2,4,5,6,1]=>[6,8,7,2,4,5,3,1]
[7,2,8,3,4,5,6,1]=>[6,7,8,3,4,5,2,1]
[1,7,8,3,4,5,6,2]=>[1,6,8,3,4,5,7,2]
[1,4,5,8,3,6,7,2]=>[1,7,8,4,5,3,6,2]
[2,5,7,1,8,3,6,4]=>[7,2,8,6,5,3,1,4]
[6,2,7,1,8,4,5,3]=>[7,6,5,8,4,2,1,3]
[4,7,1,3,8,5,6,2]=>[7,6,1,4,8,5,3,2]
[1,6,2,8,4,5,7,3]=>[1,6,7,8,4,2,5,3]
[4,1,3,6,8,2,7,5]=>[4,8,1,3,7,6,2,5]
[5,3,4,6,8,2,7,1]=>[7,8,5,3,4,6,2,1]
[4,6,3,8,7,1,2,5]=>[7,1,6,4,2,3,8,5]
[6,4,5,8,7,1,2,3]=>[7,1,2,6,4,5,8,3]
[5,3,4,8,7,1,2,6]=>[7,1,5,3,4,2,8,6]
[3,2,8,7,1,4,6,5]=>[7,3,2,1,6,4,8,5]
[3,1,8,7,2,4,6,5]=>[3,7,1,2,6,4,8,5]
[5,3,7,6,1,2,4,8]=>[6,1,5,2,3,7,4,8]
[1,8,3,7,2,4,5,6]=>[1,7,8,2,4,5,3,6]
[3,8,1,7,2,4,5,6]=>[8,7,3,2,4,5,1,6]
[6,8,2,3,5,1,4,7]=>[5,8,2,1,3,6,4,7]
[4,7,8,2,6,1,3,5]=>[6,8,1,4,3,2,7,5]
[6,2,8,7,1,4,5,3]=>[7,6,5,1,4,2,8,3]
[3,8,7,1,4,5,6,2]=>[7,6,3,1,4,5,8,2]
[2,8,6,1,3,4,5,7]=>[6,2,1,3,4,8,5,7]
[2,7,6,1,3,4,5,8]=>[6,2,1,3,4,7,5,8]
[1,7,6,2,3,4,5,8]=>[1,6,2,3,4,7,5,8]
[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]
[2,8,7,3,4,5,6,1]=>[6,2,7,3,4,5,8,1]
[3,8,7,2,4,5,6,1]=>[6,7,3,2,4,5,8,1]
[7,8,3,6,2,4,5,1]=>[5,6,8,2,4,3,7,1]
[1,5,8,7,2,3,6,4]=>[1,7,2,6,5,3,8,4]
[8,7,6,1,3,4,5,2]=>[6,5,1,3,4,7,8,2]
[3,6,2,4,7,1,8,5]=>[7,6,3,2,8,4,1,5]
[3,4,7,2,5,1,8,6]=>[5,7,3,4,2,8,1,6]
[2,1,6,4,8,5,3,7]=>[2,1,5,8,6,3,4,7]
[4,1,8,5,3,2,7,6]=>[4,3,5,1,8,7,2,6]
[3,6,2,5,7,1,4,8]=>[7,6,3,1,2,5,4,8]
[1,2,8,3,7,5,4,6]=>[1,2,8,5,7,4,3,6]
[6,1,3,2,8,5,4,7]=>[6,3,1,5,8,2,4,7]
[5,6,1,2,8,4,3,7]=>[6,1,4,8,5,2,3,7]
[1,6,3,8,7,4,2,5]=>[1,4,7,6,3,2,8,5]
[4,3,8,1,2,6,7,5]=>[8,1,4,3,7,2,6,5]
[3,6,8,7,1,2,5,4]=>[7,1,3,5,2,6,8,4]
[6,2,8,5,4,7,1,3]=>[7,6,1,5,8,2,4,3]
[6,5,7,2,4,8,1,3]=>[8,7,1,2,6,5,4,3]
[3,4,1,6,5,8,7,2]=>[4,7,3,1,6,5,8,2]
[3,5,1,2,4,8,7,6]=>[5,1,3,2,4,7,8,6]
[3,7,5,2,1,4,6,8]=>[2,5,3,1,7,4,6,8]
[3,8,5,2,7,4,1,6]=>[4,7,3,5,8,2,1,6]
[5,2,8,4,7,3,1,6]=>[3,7,5,8,1,2,4,6]
[5,2,7,4,1,3,6,8]=>[4,7,2,5,1,3,6,8]
[4,3,5,1,2,8,7,6]=>[5,1,4,3,2,7,8,6]
[3,1,4,6,2,8,7,5]=>[3,6,1,4,7,2,8,5]
[1,4,6,5,2,8,7,3]=>[1,5,6,4,7,3,8,2]
[3,4,5,6,1,8,7,2]=>[6,7,3,4,5,1,8,2]
[3,4,5,8,7,2,1,6]=>[2,7,3,4,5,1,8,6]
[1,4,7,2,6,3,5,8]=>[1,7,6,4,3,2,5,8]
[8,4,7,5,2,1,6,3]=>[2,5,7,6,8,3,1,4]
[8,1,4,7,2,3,6,5]=>[8,7,2,1,6,3,4,5]
[1,8,5,7,3,4,6,2]=>[1,6,7,3,8,4,5,2]
[6,3,5,1,7,4,2,8]=>[5,4,7,6,2,1,3,8]
[6,1,4,8,7,3,2,5]=>[6,3,7,1,2,4,8,5]
[6,4,8,5,7,1,2,3]=>[7,1,2,6,8,4,5,3]
[5,4,8,1,6,3,2,7]=>[8,3,6,5,4,1,2,7]
[1,4,8,6,3,7,2,5]=>[1,7,6,4,2,8,3,5]
[5,4,7,6,3,8,1,2]=>[8,1,6,5,4,7,3,2]
[4,6,3,7,5,8,1,2]=>[8,1,6,4,7,3,5,2]
[4,1,3,5,8,6,2,7]=>[4,6,1,3,5,8,2,7]
[5,7,4,3,8,1,2,6]=>[8,1,4,7,5,2,3,6]
[1,4,8,3,7,6,5,2]=>[1,5,6,4,7,8,3,2]
[4,3,8,2,1,6,5,7]=>[2,8,4,3,6,1,5,7]
[3,8,4,2,7,1,5,6]=>[7,4,3,8,1,5,2,6]
[3,1,2,5,7,6,4,8]=>[3,1,2,6,5,7,4,8]
[1,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,3]
[3,8,1,6,7,5,4,2]=>[8,4,3,5,7,1,6,2]
[3,7,2,6,8,5,1,4]=>[5,8,3,2,7,1,6,4]
[7,2,3,8,5,6,1,4]=>[6,7,2,1,8,5,3,4]
[8,2,1,7,5,6,4,3]=>[2,8,4,6,7,5,1,3]
[8,1,3,6,5,7,4,2]=>[8,4,1,7,6,3,5,2]
[8,2,4,3,6,1,5,7]=>[6,8,4,2,1,3,5,7]
[1,7,8,5,4,3,6,2]=>[1,6,4,5,8,3,7,2]
[1,8,4,5,3,2,6,7]=>[1,3,5,8,4,2,6,7]
[7,8,5,4,3,1,6,2]=>[3,4,5,8,6,2,7,1]
[7,1,6,3,4,2,5,8]=>[7,4,6,3,2,1,5,8]
[6,8,7,1,4,2,5,3]=>[7,4,5,1,2,6,8,3]
[3,6,1,4,2,7,5,8]=>[6,4,3,1,7,2,5,8]
[3,4,1,8,5,7,6,2]=>[4,6,3,1,7,8,2,5]
[3,6,5,1,2,8,4,7]=>[5,1,3,6,8,4,2,7]
[3,8,5,6,7,2,1,4]=>[2,7,3,1,8,5,6,4]
[8,1,7,6,2,4,3,5]=>[8,6,4,2,3,7,1,5]
[8,5,6,1,4,2,3,7]=>[6,4,2,1,8,5,3,7]
[8,6,5,4,7,1,3,2]=>[7,3,1,5,6,8,4,2]
[1,6,4,5,7,2,3,8]=>[1,7,2,6,4,5,3,8]
[8,3,6,1,7,2,4,5]=>[6,7,8,2,4,3,1,5]
[1,8,6,5,7,3,4,2]=>[1,4,7,3,6,8,5,2]
[1,7,5,3,6,8,4,2]=>[1,4,8,5,7,2,6,3]
[7,4,1,6,5,8,3,2]=>[4,3,7,8,6,2,5,1]
[4,1,5,8,7,6,3,2]=>[4,3,6,1,5,7,8,2]
[1,2,5,8,6,7,3,4]=>[1,2,7,3,5,8,6,4]
[4,2,1,5,8,7,3,6]=>[2,4,7,1,5,3,8,6]
[5,2,4,6,1,7,3,8]=>[6,5,7,2,4,1,3,8]
[1,5,3,6,8,7,4,2]=>[1,4,7,5,2,6,8,3]
[3,5,4,6,1,8,2,7]=>[6,8,3,5,4,1,2,7]
[3,1,5,7,6,8,2,4]=>[3,8,1,2,5,7,6,4]
[1,4,5,6,8,7,2,3]=>[1,7,2,4,5,6,8,3]
[1,4,6,3,7,2,8,5]=>[1,7,6,4,8,3,2,5]
[1,7,3,6,5,2,8,4]=>[1,5,6,7,8,4,3,2]
[8,6,2,5,4,1,7,3]=>[4,5,6,8,1,7,2,3]
[3,7,2,6,5,4,1,8]=>[4,5,3,6,7,2,1,8]
[7,6,2,5,4,3,1,8]=>[3,4,5,6,2,7,1,8]
[4,7,5,2,6,3,1,8]=>[3,6,5,4,7,1,2,8]
[3,2,6,4,7,5,1,8]=>[5,3,2,7,6,1,4,8]
[6,2,3,7,5,4,1,8]=>[4,5,2,7,6,3,1,8]
[1,3,4,7,6,2,8,5]=>[1,6,3,4,7,8,5,2]
[2,8,3,6,1,7,5,4]=>[6,2,8,5,7,3,1,4]
[8,7,2,5,1,6,4,3]=>[5,7,4,6,2,1,8,3]
[3,8,2,6,5,1,7,4]=>[5,6,3,8,7,4,2,1]
[7,8,2,5,4,1,6,3]=>[4,5,8,6,3,2,7,1]
[4,8,5,2,6,1,7,3]=>[6,5,8,4,7,3,1,2]
[4,5,1,3,7,2,8,6]=>[5,7,1,4,3,8,2,6]
[6,1,3,7,5,2,8,4]=>[6,5,1,7,8,3,4,2]
[7,1,3,6,2,8,5,4]=>[7,6,1,5,8,3,2,4]
[8,1,3,6,2,7,5,4]=>[8,6,1,5,7,3,2,4]
[1,2,4,7,3,8,6,5]=>[1,2,7,4,6,8,3,5]
[7,1,8,2,6,5,4,3]=>[7,8,4,5,6,2,1,3]
[3,1,8,6,2,7,5,4]=>[3,6,1,5,8,7,4,2]
[4,1,7,8,2,6,5,3]=>[4,8,5,1,6,2,7,3]
[5,6,1,8,2,7,4,3]=>[6,8,4,7,5,1,2,3]
[4,2,7,8,1,6,5,3]=>[8,4,5,2,6,1,7,3]
[3,2,8,6,1,7,5,4]=>[6,3,2,5,8,7,4,1]
[7,2,8,1,6,5,4,3]=>[8,7,4,5,6,1,2,3]
[1,8,7,2,6,5,4,3]=>[1,7,4,5,6,2,8,3]
[2,8,7,1,6,5,4,3]=>[7,2,4,5,6,1,8,3]
[3,8,7,1,6,5,4,2]=>[7,4,3,5,6,1,8,2]
[4,8,7,5,1,6,3,2]=>[5,3,7,4,6,2,8,1]
[6,7,8,5,1,4,3,2]=>[5,3,4,1,8,6,7,2]
[5,6,3,8,4,1,7,2]=>[4,8,7,6,5,1,2,3]
[7,3,8,5,4,1,6,2]=>[4,5,8,6,7,3,2,1]
[3,4,8,6,5,1,7,2]=>[5,6,3,4,8,7,1,2]
[8,3,7,5,1,6,4,2]=>[5,4,7,6,8,3,1,2]
[1,4,8,6,2,7,5,3]=>[1,6,5,4,8,7,3,2]
[8,4,6,7,1,5,3,2]=>[7,3,5,8,1,4,6,2]
[5,6,4,7,8,1,3,2]=>[8,3,1,6,5,4,7,2]
[3,4,6,5,1,2,8,7]=>[5,1,3,4,6,2,8,7]
[7,3,5,1,2,8,6,4]=>[5,1,7,6,3,8,2,4]
[1,4,6,2,3,8,7,5]=>[1,6,2,4,7,3,8,5]
[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5]
[7,2,1,6,3,8,5,4]=>[2,7,6,5,8,1,3,4]
[2,3,1,7,6,4,8,5]=>[3,2,1,6,7,8,5,4]
[4,5,2,1,7,3,8,6]=>[2,5,7,4,1,8,3,6]
[5,6,7,1,2,8,4,3]=>[7,1,4,8,5,6,2,3]
[4,7,5,1,2,8,6,3]=>[5,1,7,4,6,8,3,2]
[3,7,1,6,2,8,5,4]=>[7,6,3,5,8,1,2,4]
[7,6,1,2,8,5,4,3]=>[6,1,4,5,7,8,3,2]
[2,7,1,3,8,6,5,4]=>[7,2,1,5,6,8,3,4]
[8,6,1,2,7,5,4,3]=>[6,1,4,5,8,7,3,2]
[1,7,2,3,8,6,5,4]=>[1,7,2,5,6,8,3,4]
[8,7,1,2,6,5,4,3]=>[7,1,4,5,6,2,8,3]
[7,8,1,2,6,5,4,3]=>[8,1,4,5,6,2,7,3]
[3,8,1,6,2,7,5,4]=>[8,6,3,5,7,1,2,4]
[4,8,5,1,2,7,6,3]=>[5,1,8,4,6,7,3,2]
[5,6,8,1,2,7,4,3]=>[8,1,4,7,5,6,2,3]
[2,1,3,7,4,8,6,5]=>[2,1,3,7,6,8,4,5]
[4,2,7,3,6,8,1,5]=>[8,4,7,2,1,3,6,5]
[5,3,6,4,2,8,1,7]=>[8,4,6,5,2,3,1,7]
[4,1,5,3,8,2,7,6]=>[4,8,5,1,3,7,2,6]
[5,2,6,4,7,3,1,8]=>[3,7,5,6,1,4,2,8]
[2,6,3,4,7,5,1,8]=>[5,2,7,1,6,4,3,8]
[2,6,3,5,4,8,1,7]=>[8,2,6,5,3,4,1,7]
[2,7,4,3,5,8,1,6]=>[8,2,4,7,3,1,5,6]
[7,3,6,4,2,8,1,5]=>[8,4,6,7,1,2,3,5]
[7,6,4,5,2,8,1,3]=>[8,5,1,6,4,7,2,3]
[5,4,3,1,8,2,7,6]=>[3,4,5,8,1,7,2,6]
[6,5,4,2,7,3,1,8]=>[3,7,4,5,6,1,2,8]
[5,4,1,7,2,6,3,8]=>[4,5,7,6,2,3,1,8]
[5,4,1,8,3,2,6,7]=>[4,3,5,8,2,1,6,7]
[6,5,2,8,3,4,7,1]=>[7,5,6,2,8,3,4,1]
[7,4,2,1,8,3,6,5]=>[2,4,7,8,6,1,3,5]
[6,5,3,4,8,2,7,1]=>[7,8,5,3,6,4,2,1]
[6,1,5,3,8,2,7,4]=>[6,8,5,7,1,3,2,4]
[4,6,3,1,8,2,7,5]=>[3,6,8,4,7,2,1,5]
[5,8,4,2,7,3,1,6]=>[3,7,4,8,5,2,1,6]
[8,2,6,4,7,3,1,5]=>[3,7,8,6,2,1,4,5]
[8,6,2,5,7,4,1,3]=>[4,7,2,6,1,8,5,3]
[8,5,3,2,6,4,1,7]=>[4,3,6,5,8,1,2,7]
[8,3,1,7,2,5,4,6]=>[3,8,7,5,1,4,2,6]
[7,5,2,6,4,3,1,8]=>[3,4,6,5,7,2,1,8]
[7,1,6,2,5,4,3,8]=>[7,6,4,5,2,1,3,8]
[8,1,7,3,5,6,4,2]=>[8,4,6,7,2,5,1,3]
[8,6,1,7,4,5,2,3]=>[6,5,2,8,1,7,4,3]
[8,1,3,7,2,6,5,4]=>[8,7,1,5,6,2,3,4]
[1,7,6,8,3,2,4,5]=>[1,3,8,2,4,7,6,5]
[7,1,5,8,4,2,6,3]=>[7,4,8,6,1,3,5,2]
[7,3,8,4,5,2,6,1]=>[6,5,7,8,4,2,3,1]
[7,2,8,5,3,4,6,1]=>[6,7,5,3,8,4,2,1]
[6,1,8,4,3,2,5,7]=>[6,3,4,8,2,1,5,7]
[6,1,7,4,2,5,3,8]=>[6,4,7,5,3,1,2,8]
[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]
[1,7,8,4,3,5,6,2]=>[1,6,4,8,3,5,7,2]
[1,6,2,8,3,5,7,4]=>[1,6,8,7,3,2,5,4]
[2,6,1,7,3,5,4,8]=>[6,2,7,5,3,1,4,8]
[3,1,5,8,4,2,6,7]=>[3,4,1,8,5,2,6,7]
[4,3,1,6,8,2,7,5]=>[3,4,8,2,7,6,1,5]
[5,7,4,8,3,2,1,6]=>[2,3,8,7,5,1,4,6]
[5,4,8,2,7,3,1,6]=>[3,7,8,5,4,2,1,6]
[5,2,8,7,3,4,1,6]=>[4,5,7,3,2,1,8,6]
[6,4,7,5,3,2,1,8]=>[2,3,5,7,6,1,4,8]
[1,8,3,7,6,2,4,5]=>[1,6,7,3,4,8,2,5]
[5,8,3,2,6,4,1,7]=>[4,3,6,8,5,1,2,7]
[6,8,2,4,7,5,1,3]=>[5,7,2,1,8,6,4,3]
[7,3,8,2,6,4,1,5]=>[4,6,8,7,2,3,1,5]
[4,6,8,2,7,3,1,5]=>[3,7,8,4,2,6,1,5]
[2,6,8,7,3,4,1,5]=>[4,2,7,3,1,6,8,5]
[7,2,8,6,3,5,1,4]=>[5,7,6,1,3,8,2,4]
[6,8,1,7,2,5,4,3]=>[8,7,4,5,2,6,1,3]
[3,8,7,4,5,6,1,2]=>[6,1,3,7,4,5,8,2]
[2,8,6,4,3,5,1,7]=>[5,2,4,6,3,8,1,7]
[2,7,6,3,5,4,1,8]=>[4,2,5,6,1,7,3,8]
[1,7,6,5,2,4,3,8]=>[1,5,4,2,6,7,3,8]
[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]
[3,8,7,4,6,2,5,1]=>[5,6,3,7,2,4,8,1]
[5,8,3,7,6,2,4,1]=>[4,6,7,3,5,8,2,1]
[7,1,8,6,5,2,3,4]=>[7,5,2,3,6,8,1,4]
[8,4,7,5,3,2,1,6]=>[2,3,5,7,8,4,1,6]
[8,7,2,5,4,3,1,6]=>[3,4,5,7,2,1,8,6]
[6,8,3,2,5,4,7,1]=>[7,3,8,5,2,6,4,1]
[6,8,4,5,2,3,7,1]=>[7,5,2,8,4,6,3,1]
[1,5,7,8,4,3,6,2]=>[1,6,4,8,5,3,7,2]
[6,3,8,1,5,4,7,2]=>[8,7,6,5,1,3,4,2]
[6,2,1,8,5,4,7,3]=>[2,6,7,5,8,1,4,3]
[2,6,3,1,7,5,4,8]=>[3,2,6,5,7,1,4,8]
[2,6,5,7,4,1,3,8]=>[4,2,1,7,6,5,3,8]
[2,5,6,8,4,3,7,1]=>[7,2,4,8,5,6,3,1]
[2,4,7,5,8,1,6,3]=>[8,2,6,4,7,1,5,3]
[2,5,4,7,1,8,6,3]=>[7,2,6,5,4,8,1,3]
[5,2,1,8,7,6,4,3]=>[2,5,4,6,1,7,8,3]
[4,8,5,7,6,1,3,2]=>[6,3,1,4,7,8,2,5]
[4,8,6,7,5,3,1,2]=>[3,1,5,4,7,8,6,2]
[4,8,7,5,6,2,3,1]=>[3,6,2,4,7,5,8,1]
[6,5,4,8,2,1,7,3]=>[2,8,7,5,6,4,1,3]
[5,8,4,7,2,6,3,1]=>[3,6,7,8,5,1,4,2]
[1,5,7,4,8,2,6,3]=>[1,8,6,7,5,2,4,3]
[1,5,7,3,2,8,6,4]=>[1,3,7,6,5,8,2,4]
[5,8,3,2,7,6,4,1]=>[4,3,6,7,5,8,2,1]
[5,2,1,4,3,6,7,8]=>[2,5,4,1,3,6,7,8]
[3,5,7,4,2,6,1,8]=>[6,4,3,7,5,2,1,8]
[3,6,4,5,1,2,7,8]=>[5,1,3,6,4,2,7,8]
[4,2,1,6,5,3,7,8]=>[2,4,5,1,6,3,7,8]
[4,2,1,5,7,6,3,8]=>[2,4,6,1,5,7,3,8]
[4,3,5,1,7,6,2,8]=>[5,6,4,3,1,7,2,8]
[3,5,4,7,1,6,2,8]=>[7,6,3,5,4,1,2,8]
[3,4,7,5,6,1,2,8]=>[6,1,3,4,7,5,2,8]
[3,4,5,8,6,7,1,2]=>[7,1,3,4,5,8,6,2]
[3,5,4,6,1,8,7,2]=>[6,7,3,5,4,1,8,2]
[4,3,5,1,6,8,7,2]=>[5,7,4,3,1,6,8,2]
[4,2,1,5,6,8,7,3]=>[2,4,7,1,5,6,8,3]
[2,1,7,3,8,4,6,5]=>[2,1,7,8,6,4,3,5]
[4,1,8,2,7,3,6,5]=>[4,8,7,1,6,3,2,5]
[4,1,7,2,8,3,6,5]=>[4,7,8,1,6,3,2,5]
[7,1,3,2,8,4,6,5]=>[7,3,1,8,6,4,2,5]
[7,1,8,2,4,3,6,5]=>[7,8,4,2,6,3,1,5]
[8,1,7,2,5,3,6,4]=>[8,7,5,6,2,3,1,4]
[7,1,5,2,8,3,6,4]=>[7,5,8,6,1,3,2,4]
[5,1,7,2,8,3,6,4]=>[5,7,8,6,1,3,2,4]
[5,1,8,2,7,3,6,4]=>[5,8,7,6,1,3,2,4]
[5,1,8,2,4,3,7,6]=>[5,8,4,2,1,7,3,6]
[8,1,6,2,4,3,7,5]=>[8,6,4,2,7,1,3,5]
[6,1,8,2,4,3,7,5]=>[6,8,4,2,7,1,3,5]
[6,1,8,2,5,3,7,4]=>[6,8,5,7,2,1,3,4]
[8,1,6,2,5,3,7,4]=>[8,6,5,7,2,1,3,4]
[8,1,6,2,7,3,5,4]=>[8,6,7,5,3,1,2,4]
[6,1,8,2,7,3,5,4]=>[6,8,7,5,3,1,2,4]
[6,1,7,2,8,3,5,4]=>[6,7,8,5,3,1,2,4]
[6,1,7,2,5,3,8,4]=>[6,7,5,8,2,1,3,4]
[6,1,7,2,4,3,8,5]=>[6,7,4,2,8,1,3,5]
[5,1,6,2,4,3,8,7]=>[5,6,4,2,1,3,8,7]
[7,1,5,2,4,3,8,6]=>[7,5,4,2,1,8,3,6]
[7,1,6,2,4,3,8,5]=>[7,6,4,2,8,1,3,5]
[7,1,6,2,5,3,8,4]=>[7,6,5,8,2,1,3,4]
[7,1,6,2,8,3,5,4]=>[7,6,8,5,3,1,2,4]
[7,1,8,2,6,3,5,4]=>[7,8,6,5,3,2,1,4]
[1,8,2,7,5,4,6,3]=>[1,8,6,5,7,4,2,3]
[1,8,2,7,4,3,5,6]=>[1,8,4,7,3,5,2,6]
[1,8,6,4,7,2,3,5]=>[1,7,2,6,3,8,4,5]
[1,8,4,2,6,3,5,7]=>[1,4,8,6,2,3,5,7]
[7,4,8,1,5,2,3,6]=>[8,5,2,7,1,3,4,6]
[4,1,7,2,6,3,5,8]=>[4,7,6,1,3,2,5,8]
[5,1,7,4,3,6,2,8]=>[5,6,4,7,1,3,2,8]
[7,5,8,3,2,4,1,6]=>[4,3,8,2,7,1,5,6]
[1,8,5,4,3,6,2,7]=>[1,6,4,5,8,3,2,7]
[1,8,5,4,3,7,2,6]=>[1,7,4,5,8,2,3,6]
[1,8,5,4,7,2,6,3]=>[1,7,6,5,8,2,4,3]
[1,8,4,2,5,3,7,6]=>[1,4,8,5,3,7,2,6]
[1,8,5,4,2,6,7,3]=>[1,4,5,8,7,2,6,3]
[7,4,8,2,1,3,5,6]=>[2,8,1,7,3,5,4,6]
[4,1,7,3,2,5,6,8]=>[4,3,7,1,2,5,6,8]
[7,5,4,8,2,3,6,1]=>[6,8,2,5,7,3,4,1]
[6,4,8,2,1,3,7,5]=>[2,8,1,6,7,4,3,5]
[7,3,8,1,5,6,2,4]=>[8,6,7,2,1,5,3,4]
[3,1,7,2,6,8,4,5]=>[3,7,1,8,4,2,6,5]
[5,1,7,4,2,6,8,3]=>[5,4,7,8,1,3,6,2]
[4,1,6,3,2,5,8,7]=>[4,3,6,1,2,5,8,7]
[5,4,3,7,1,2,8,6]=>[7,1,4,5,3,8,2,6]
[4,3,1,6,2,5,7,8]=>[3,4,6,2,1,5,7,8]
[6,5,4,3,7,1,8,2]=>[7,8,4,5,6,3,1,2]
[5,4,2,7,1,6,8,3]=>[7,4,5,8,3,1,6,2]
[6,5,1,7,3,8,2,4]=>[5,6,8,3,7,2,1,4]
[6,3,2,8,5,7,1,4]=>[7,3,6,1,8,2,5,4]
[6,5,4,2,8,3,7,1]=>[7,4,5,6,8,2,3,1]
[6,5,4,3,8,2,7,1]=>[7,8,4,5,6,3,2,1]
[6,5,4,3,8,7,1,2]=>[7,1,4,5,6,3,8,2]
[7,5,4,8,6,1,3,2]=>[6,3,1,5,8,7,2,4]
[7,6,3,8,5,4,1,2]=>[4,1,5,8,6,7,3,2]
[6,3,8,1,7,5,2,4]=>[8,5,7,3,6,2,1,4]
[6,5,8,3,1,7,4,2]=>[3,8,4,7,6,5,2,1]
[5,4,8,2,1,7,3,6]=>[2,8,7,5,4,3,1,6]
[5,4,3,8,1,6,2,7]=>[8,6,4,5,3,1,2,7]
[5,4,3,7,1,6,2,8]=>[7,6,4,5,3,1,2,8]
[6,4,2,8,5,1,3,7]=>[5,4,2,8,6,1,3,7]
[7,6,4,8,5,1,2,3]=>[5,1,2,8,6,7,3,4]
[7,2,8,6,3,1,4,5]=>[3,6,8,1,4,7,2,5]
[7,2,8,6,1,5,3,4]=>[6,8,5,3,2,7,1,4]
[2,1,7,8,3,6,4,5]=>[2,1,8,6,4,3,7,5]
[6,4,1,7,8,2,3,5]=>[4,6,1,8,3,2,7,5]
[4,2,1,6,7,3,5,8]=>[2,4,7,1,3,6,5,8]
[4,3,1,5,2,7,6,8]=>[3,4,5,2,1,7,6,8]
[5,4,2,7,3,8,1,6]=>[8,4,5,7,3,1,2,6]
[4,1,5,3,2,8,6,7]=>[4,3,5,1,2,8,6,7]
[3,1,6,2,8,7,4,5]=>[3,6,1,7,4,2,8,5]
[6,3,1,7,8,5,2,4]=>[3,6,5,1,8,2,7,4]
[5,4,1,7,8,2,6,3]=>[4,5,8,6,2,3,7,1]
[5,4,2,6,1,8,7,3]=>[6,4,5,7,3,1,8,2]
[6,5,4,1,7,8,3,2]=>[4,3,5,6,8,1,7,2]
[5,4,3,1,6,7,2,8]=>[3,4,5,7,1,6,2,8]
[6,5,4,2,7,8,3,1]=>[3,8,4,5,6,1,7,2]
[5,4,2,6,3,8,7,1]=>[7,4,5,6,3,2,8,1]
[4,3,1,5,2,6,8,7]=>[3,4,5,2,1,6,8,7]
[5,4,2,1,6,7,8,3]=>[2,4,5,8,3,6,7,1]
[5,4,3,1,6,7,8,2]=>[3,4,5,8,1,6,7,2]
[6,3,8,1,2,5,7,4]=>[8,1,6,7,2,3,5,4]
[3,6,7,1,2,5,8,4]=>[7,1,3,8,2,6,5,4]
[7,8,3,1,2,5,6,4]=>[3,1,8,6,2,5,7,4]
[7,8,1,3,2,4,6,5]=>[8,3,1,2,6,4,7,5]
[7,8,2,1,3,5,4,6]=>[2,8,1,5,3,4,7,6]
[5,2,3,7,1,8,6,4]=>[7,5,2,6,3,8,1,4]
[2,5,3,6,1,8,7,4]=>[6,2,5,7,3,1,8,4]
[2,6,7,3,1,8,4,5]=>[3,2,7,8,4,6,1,5]
[2,6,7,1,3,5,4,8]=>[7,2,1,5,3,6,4,8]
[6,2,8,3,1,7,4,5]=>[3,8,6,7,4,1,2,5]
[3,2,5,7,1,8,4,6]=>[7,3,2,8,5,4,1,6]
[4,3,1,2,7,8,6,5]=>[3,1,4,2,6,8,7,5]
[5,1,2,7,3,6,4,8]=>[5,1,7,6,2,3,4,8]
[5,1,4,7,8,2,3,6]=>[5,8,2,1,4,3,7,6]
[5,3,4,7,8,6,1,2]=>[6,1,5,3,4,8,7,2]
[3,5,4,6,8,7,1,2]=>[7,1,3,5,4,6,8,2]
[1,5,4,6,8,2,3,7]=>[1,8,2,5,4,6,3,7]
[1,6,7,3,2,4,8,5]=>[1,3,7,2,8,6,4,5]
[1,5,3,6,2,7,8,4]=>[1,6,5,8,3,2,7,4]
[5,1,3,7,2,6,8,4]=>[5,7,1,8,3,2,6,4]
[5,2,4,7,8,1,6,3]=>[8,5,6,2,4,1,7,3]
[4,2,5,7,6,1,8,3]=>[6,4,7,2,5,8,3,1]
[4,5,2,8,6,1,7,3]=>[6,5,8,4,2,7,3,1]
[5,3,1,8,2,6,7,4]=>[3,5,8,7,2,1,6,4]
[6,1,8,3,2,4,7,5]=>[6,3,8,2,7,1,4,5]
[4,3,5,7,6,8,1,2]=>[8,1,4,3,5,7,6,2]
[4,1,5,7,6,2,3,8]=>[4,6,2,1,5,7,3,8]
[4,5,1,8,6,2,3,7]=>[5,6,2,4,1,8,3,7]
[5,2,1,8,3,6,4,7]=>[2,5,8,6,1,3,4,7]
[3,4,2,1,8,7,5,6]=>[2,4,3,1,7,5,8,6]
[7,6,5,4,2,1,8,3]=>[2,4,5,6,7,8,3,1]
[7,6,5,4,8,1,3,2]=>[8,3,1,5,6,7,4,2]
[7,6,5,8,2,1,4,3]=>[2,8,4,1,6,7,5,3]
[8,5,4,3,2,1,7,6]=>[2,3,4,5,8,7,1,6]
[7,6,5,4,1,8,3,2]=>[4,3,5,6,7,8,2,1]
[7,6,5,2,8,1,4,3]=>[8,5,4,1,6,7,2,3]
[7,6,5,8,4,1,3,2]=>[4,3,1,8,6,7,5,2]
[7,6,8,5,2,1,4,3]=>[2,5,4,1,8,7,6,3]
[7,8,6,3,2,1,5,4]=>[2,3,6,5,1,8,7,4]
[8,7,4,3,2,1,6,5]=>[2,3,4,7,6,1,8,5]
[7,8,2,4,5,1,3,6]=>[5,8,1,2,4,3,7,6]
[4,6,7,2,5,1,3,8]=>[5,7,1,4,2,6,3,8]
[7,8,1,3,2,4,5,6]=>[8,3,1,2,4,5,7,6]
[7,8,4,1,5,2,3,6]=>[4,8,1,5,2,3,7,6]
[3,6,7,2,1,4,5,8]=>[2,7,3,1,4,6,5,8]
[5,2,3,6,1,4,7,8]=>[6,5,2,1,3,4,7,8]
[2,5,3,6,1,4,7,8]=>[6,2,5,1,3,4,7,8]
[2,6,7,3,1,4,5,8]=>[3,2,7,1,4,6,5,8]
[4,6,7,1,5,2,3,8]=>[7,5,2,4,1,6,3,8]
[4,6,7,3,5,8,1,2]=>[8,1,7,4,3,6,5,2]
[6,4,7,1,5,2,3,8]=>[7,5,2,6,1,4,3,8]
[6,2,7,3,1,4,5,8]=>[3,7,6,2,4,1,5,8]
[3,2,5,6,1,4,7,8]=>[6,3,2,1,5,4,7,8]
[3,5,2,6,1,4,7,8]=>[6,5,3,1,2,4,7,8]
[5,1,4,6,7,2,3,8]=>[5,7,2,1,4,6,3,8]
[3,5,4,6,7,8,1,2]=>[8,1,3,5,4,6,7,2]
[1,5,4,6,7,2,3,8]=>[1,7,2,5,4,6,3,8]
[1,6,7,3,2,4,5,8]=>[1,3,7,2,4,6,5,8]
[1,5,3,6,2,4,7,8]=>[1,6,5,2,3,4,7,8]
[5,1,3,6,2,4,7,8]=>[5,6,1,2,3,4,7,8]
[5,2,4,6,7,1,3,8]=>[7,5,1,2,4,6,3,8]
[2,5,4,6,7,1,3,8]=>[7,2,1,5,4,6,3,8]
[2,6,7,4,5,1,3,8]=>[5,2,1,7,4,6,3,8]
[6,2,7,4,5,1,3,8]=>[5,6,1,7,4,2,3,8]
[4,2,5,6,7,1,3,8]=>[7,4,1,2,5,6,3,8]
[4,5,2,6,7,1,3,8]=>[7,5,1,4,2,6,3,8]
[5,3,1,6,2,4,7,8]=>[3,5,6,1,2,4,7,8]
[6,1,7,3,2,4,5,8]=>[6,3,7,2,4,1,5,8]
[6,1,7,4,5,2,3,8]=>[6,5,2,7,4,1,3,8]
[6,3,7,4,5,8,1,2]=>[8,1,6,7,4,3,5,2]
[5,4,1,6,7,2,3,8]=>[4,5,1,7,2,6,3,8]
[5,2,1,6,3,4,7,8]=>[2,5,6,3,1,4,7,8]
[7,3,2,5,4,1,6,8]=>[4,3,5,7,1,2,6,8]
[7,3,5,4,2,1,6,8]=>[2,4,5,7,1,3,6,8]
[7,3,5,2,4,1,6,8]=>[4,5,7,2,3,1,6,8]
[7,6,5,2,1,4,3,8]=>[2,5,4,1,6,7,3,8]
[1,3,6,7,5,2,8,4]=>[1,5,3,7,8,6,4,2]
[7,3,4,1,6,2,5,8]=>[4,6,7,3,2,1,5,8]
[7,3,4,1,6,5,2,8]=>[4,5,6,2,7,1,3,8]
[7,3,4,1,5,6,2,8]=>[4,6,7,3,1,5,2,8]
[7,3,2,5,1,6,4,8]=>[5,3,7,6,2,1,4,8]
[7,6,5,4,1,3,2,8]=>[4,3,1,5,6,7,2,8]
[7,3,4,1,5,2,6,8]=>[4,5,7,3,1,2,6,8]
[1,3,6,7,2,5,8,4]=>[1,7,3,8,2,6,5,4]
[1,7,4,6,2,8,5,3]=>[1,6,5,8,7,3,2,4]
[4,3,1,7,2,6,8,5]=>[3,4,7,2,8,1,6,5]
[5,6,1,4,7,3,8,2]=>[6,8,7,1,5,4,3,2]
[5,3,2,1,7,4,8,6]=>[2,3,5,7,1,8,4,6]
[1,3,4,5,8,7,2,6]=>[1,7,3,4,5,2,8,6]
[6,3,4,5,8,1,7,2]=>[8,7,6,3,4,5,1,2]
[2,4,5,1,6,8,7,3]=>[5,2,7,4,1,6,8,3]
[3,1,2,5,6,8,7,4]=>[3,1,2,7,5,6,8,4]
[4,3,2,5,6,8,1,7]=>[8,3,4,2,5,6,1,7]
[3,7,5,4,6,8,1,2]=>[8,1,3,5,7,4,6,2]
[3,1,4,6,5,8,2,7]=>[3,8,1,4,6,5,2,7]
[2,3,4,5,8,6,1,7]=>[6,2,3,4,5,8,1,7]
[2,3,4,5,8,1,7,6]=>[8,2,3,4,5,7,1,6]
[3,1,4,6,5,8,7,2]=>[3,7,1,4,6,5,8,2]
[3,7,5,4,6,8,2,1]=>[2,8,3,5,7,4,6,1]
[5,6,1,4,7,2,8,3]=>[6,7,8,1,5,4,2,3]
[4,3,1,7,5,6,8,2]=>[3,4,8,2,7,5,6,1]
[4,3,1,7,6,5,8,2]=>[3,4,8,2,6,7,5,1]
[3,1,4,6,7,8,5,2]=>[3,5,1,4,8,6,7,2]
[1,4,5,2,6,8,7,3]=>[1,5,7,4,2,6,8,3]
[3,7,5,2,6,8,1,4]=>[8,5,3,1,7,2,6,4]
[3,7,5,2,6,8,4,1]=>[4,8,3,5,7,1,6,2]
[5,6,1,2,7,4,8,3]=>[6,1,8,7,5,2,4,3]
[6,3,5,2,4,7,8,1]=>[8,5,6,2,3,4,7,1]
[5,3,2,1,4,7,8,6]=>[2,3,5,1,4,8,7,6]
[5,3,1,4,2,7,8,6]=>[3,5,4,2,1,8,7,6]
[5,3,1,2,4,7,8,6]=>[3,1,5,2,4,8,7,6]
[7,1,5,2,6,8,4,3]=>[7,5,4,8,1,2,6,3]
[7,1,5,2,6,8,3,4]=>[7,5,8,3,1,2,6,4]
[1,7,4,6,5,8,3,2]=>[1,3,8,7,6,4,5,2]
[2,7,4,6,1,8,3,5]=>[6,2,8,7,3,4,1,5]
[2,7,4,6,1,8,5,3]=>[6,2,5,8,7,3,1,4]
[2,3,6,7,1,5,8,4]=>[7,2,3,8,1,6,5,4]
[2,3,6,7,5,1,8,4]=>[5,2,3,7,8,6,4,1]
[4,3,2,6,7,1,8,5]=>[7,3,4,2,8,6,1,5]
[7,3,2,5,6,8,1,4]=>[8,3,7,1,2,5,6,4]
[7,1,5,4,6,8,2,3]=>[7,8,2,5,1,4,6,3]
[2,7,4,6,5,8,1,3]=>[8,2,1,7,6,4,5,3]
[7,3,4,5,8,6,1,2]=>[6,1,8,2,4,7,5,3]
[7,3,4,5,8,1,6,2]=>[8,6,7,3,4,1,5,2]
[7,3,4,5,8,1,2,6]=>[8,1,7,3,4,2,5,6]
[1,3,4,5,8,6,2,7]=>[1,6,3,4,5,8,2,7]
[1,3,4,5,8,2,7,6]=>[1,8,3,4,5,7,2,6]
[6,3,4,5,8,2,1,7]=>[2,8,6,3,4,5,1,7]
[6,3,4,5,8,2,7,1]=>[7,8,6,3,4,5,2,1]
[7,3,4,5,8,6,2,1]=>[2,6,8,1,4,7,5,3]
[2,7,4,6,5,8,3,1]=>[3,2,8,7,6,4,5,1]
[7,1,5,4,6,8,3,2]=>[7,3,8,5,1,4,6,2]
[7,3,2,5,6,8,4,1]=>[4,3,8,7,1,5,6,2]
[5,7,4,6,1,8,3,2]=>[6,3,8,7,5,4,1,2]
[6,3,4,5,8,1,2,7]=>[8,1,6,3,4,5,2,7]
[7,3,4,5,8,2,1,6]=>[2,8,7,3,4,1,5,6]
[7,3,4,5,8,2,6,1]=>[6,8,7,3,4,2,5,1]
[4,7,6,1,8,2,5,3]=>[6,7,5,4,1,8,2,3]
[4,8,6,1,7,5,2,3]=>[6,5,1,4,8,7,2,3]
[4,7,8,2,6,1,5,3]=>[6,8,5,4,1,2,7,3]
[7,6,4,2,8,3,5,1]=>[5,4,6,7,3,8,2,1]
[8,6,4,2,7,5,3,1]=>[3,5,4,7,6,8,2,1]
[8,4,7,3,6,5,1,2]=>[5,1,6,7,8,4,2,3]
[8,4,6,1,7,5,3,2]=>[6,3,5,7,8,2,1,4]
[6,4,7,1,8,3,2,5]=>[7,3,8,6,2,4,1,5]
[7,4,8,3,6,1,5,2]=>[6,5,8,7,1,3,4,2]
[7,8,4,3,6,2,5,1]=>[5,6,4,8,2,3,7,1]
[6,2,1,7,3,5,4,8]=>[2,6,7,5,3,1,4,8]
[2,1,8,6,3,5,4,7]=>[2,1,6,5,3,8,4,7]
[2,1,7,3,5,8,6,4]=>[2,1,7,6,3,8,5,4]
[2,7,3,1,5,4,6,8]=>[3,2,7,5,1,4,6,8]
[2,6,3,1,4,8,5,7]=>[3,2,6,1,8,4,5,7]
[4,2,1,8,3,6,7,5]=>[2,4,8,1,7,3,6,5]
[2,1,8,6,3,5,7,4]=>[2,1,6,8,4,7,5,3]
[6,2,1,7,3,5,8,4]=>[2,6,7,8,3,1,5,4]
[2,7,3,1,4,8,5,6]=>[3,2,7,1,8,5,4,6]
[3,2,1,6,4,5,7,8]=>[2,3,1,6,4,5,7,8]
[3,2,1,5,7,8,4,6]=>[2,3,1,8,5,4,7,6]
[2,1,7,3,6,8,4,5]=>[2,1,7,8,4,3,6,5]
[2,7,3,1,5,6,8,4]=>[3,2,7,8,1,5,6,4]
[2,4,7,5,1,6,8,3]=>[5,2,7,4,8,3,6,1]
[4,3,7,5,6,1,8,2]=>[6,8,4,3,7,5,1,2]
[4,3,6,8,5,1,7,2]=>[5,8,4,3,7,6,2,1]
[2,6,1,8,3,5,7,4]=>[6,2,8,7,3,1,5,4]
[2,1,6,8,3,7,4,5]=>[2,1,8,7,4,6,3,5]
[2,1,8,3,5,7,4,6]=>[2,1,8,7,3,4,5,6]
[3,2,1,5,6,8,4,7]=>[2,3,1,8,5,6,4,7]
[3,2,1,5,7,4,6,8]=>[2,3,1,7,5,4,6,8]
[2,1,7,3,6,4,5,8]=>[2,1,7,6,4,3,5,8]
[2,1,6,3,5,8,4,7]=>[2,1,6,8,3,5,4,7]
[8,2,4,1,7,5,6,3]=>[4,8,6,2,7,5,1,3]
[3,8,4,7,5,1,6,2]=>[5,7,3,6,8,2,1,4]
[8,4,3,6,1,7,5,2]=>[6,5,4,7,8,2,1,3]
[8,2,1,7,3,5,4,6]=>[2,8,7,5,3,4,1,6]
[2,6,1,8,3,5,4,7]=>[6,2,8,5,3,1,4,7]
[2,7,3,1,5,6,4,8]=>[3,2,7,6,1,5,4,8]
[2,4,7,5,1,6,3,8]=>[5,2,7,4,6,3,1,8]
[8,2,4,1,7,5,3,6]=>[4,8,5,2,7,3,1,6]
[5,8,6,3,1,7,4,2]=>[3,6,4,8,5,7,1,2]
[2,4,7,1,8,5,3,6]=>[7,2,5,4,8,3,1,6]
[2,4,8,5,1,6,3,7]=>[5,2,8,4,6,3,1,7]
[6,2,1,7,3,4,8,5]=>[2,6,7,3,8,1,4,5]
[6,2,1,7,8,3,5,4]=>[2,6,8,5,3,1,7,4]
[2,7,1,8,3,5,6,4]=>[7,2,8,6,3,5,1,4]
[2,1,8,3,6,4,5,7]=>[2,1,8,6,4,3,5,7]
[3,2,1,6,7,4,5,8]=>[2,3,1,7,4,6,5,8]
[3,2,1,7,4,5,6,8]=>[2,3,1,7,4,5,6,8]
[3,2,1,6,8,4,5,7]=>[2,3,1,8,4,6,5,7]
[2,1,8,3,7,4,5,6]=>[2,1,8,7,4,5,3,6]
[2,1,8,3,6,7,4,5]=>[2,1,8,7,4,3,6,5]
[2,4,8,5,1,6,7,3]=>[5,2,8,4,7,3,6,1]
[4,3,8,5,6,1,7,2]=>[6,7,4,3,8,5,1,2]
[3,2,1,8,4,5,6,7]=>[2,3,1,8,4,5,6,7]
[1,6,8,3,7,2,4,5]=>[1,7,8,2,4,6,3,5]
[3,8,1,5,7,2,4,6]=>[8,7,3,2,1,4,5,6]
[1,2,6,8,4,7,3,5]=>[1,2,7,8,3,6,4,5]
[6,1,5,8,2,4,7,3]=>[6,8,7,2,1,5,4,3]
[1,2,4,8,3,6,7,5]=>[1,2,8,4,7,3,6,5]
[4,1,2,7,8,3,6,5]=>[4,1,8,2,6,3,7,5]
[3,5,7,4,8,6,1,2]=>[6,1,3,8,5,7,2,4]
[5,3,8,4,7,6,1,2]=>[6,1,5,7,3,8,2,4]
[8,7,1,2,5,4,6,3]=>[7,1,6,5,2,4,8,3]
[5,8,1,2,3,7,6,4]=>[8,1,2,6,5,7,3,4]
[1,2,8,4,3,5,7,6]=>[1,2,4,8,3,7,5,6]
[1,2,5,3,7,6,4,8]=>[1,2,5,6,3,7,4,8]
[6,1,2,8,7,4,5,3]=>[6,1,5,7,4,2,8,3]
[7,1,6,2,8,4,5,3]=>[7,6,5,8,4,1,2,3]
[1,2,6,3,8,5,4,7]=>[1,2,6,5,8,3,4,7]
[1,2,8,5,3,6,4,7]=>[1,2,5,8,6,4,3,7]
[1,2,7,3,8,5,4,6]=>[1,2,7,5,8,4,3,6]
[4,1,2,7,8,6,3,5]=>[4,1,6,2,3,8,7,5]
[1,6,2,8,4,3,5,7]=>[1,6,4,8,3,2,5,7]
[1,6,4,2,7,3,5,8]=>[1,4,6,7,2,3,5,8]
[1,8,6,3,2,4,5,7]=>[1,3,6,2,4,8,5,7]
[1,7,3,2,8,4,5,6]=>[1,3,7,8,4,5,2,6]
[3,1,7,8,6,2,4,5]=>[3,6,1,2,4,8,7,5]
[1,8,7,2,4,5,6,3]=>[1,7,6,2,4,5,8,3]
[1,8,7,3,5,6,2,4]=>[1,6,7,2,3,5,8,4]
[1,3,2,8,7,4,5,6]=>[1,3,2,7,4,5,8,6]
[1,8,3,2,6,4,5,7]=>[1,3,8,6,4,2,5,7]
[1,7,6,3,2,4,5,8]=>[1,3,6,2,4,7,5,8]
[1,2,8,4,3,7,5,6]=>[1,2,4,8,7,5,3,6]
[8,5,1,7,2,4,6,3]=>[5,8,7,3,6,4,2,1]
[5,3,8,7,4,6,1,2]=>[6,1,5,7,3,4,8,2]
[3,8,6,4,7,5,1,2]=>[5,1,3,7,6,8,2,4]
[6,1,8,2,7,4,5,3]=>[6,8,5,7,4,1,2,3]
[1,2,5,3,8,6,4,7]=>[1,2,5,6,3,8,4,7]
[1,2,7,5,3,6,4,8]=>[1,2,5,7,6,4,3,8]
[1,2,6,3,7,5,4,8]=>[1,2,6,5,7,3,4,8]
[1,2,3,7,5,4,8,6]=>[1,2,3,5,7,8,4,6]
[3,7,4,8,6,5,1,2]=>[5,1,3,6,8,7,4,2]
[1,8,2,7,6,4,5,3]=>[1,8,5,6,4,7,2,3]
[2,8,7,6,5,1,4,3]=>[5,2,4,1,6,7,8,3]
[7,1,6,3,2,5,4,8]=>[7,3,6,5,2,1,4,8]
[2,7,6,3,1,5,8,4]=>[3,2,6,7,4,8,5,1]
[1,8,4,3,6,5,2,7]=>[1,5,4,6,8,2,3,7]
[1,8,4,6,5,3,2,7]=>[1,3,5,6,8,2,4,7]
[7,4,2,1,6,5,3,8]=>[2,4,7,5,6,3,1,8]
[7,6,1,4,3,5,2,8]=>[6,5,4,1,3,7,2,8]
[7,4,1,3,5,2,6,8]=>[4,7,2,5,3,1,6,8]
[7,3,1,2,4,6,5,8]=>[3,1,7,2,6,4,5,8]
[1,8,6,3,4,5,2,7]=>[1,5,6,3,4,8,2,7]
[1,8,6,7,4,2,5,3]=>[1,4,7,5,3,8,6,2]
[3,6,2,1,4,8,5,7]=>[2,6,3,1,8,4,5,7]
[3,1,7,2,4,6,8,5]=>[3,7,1,2,8,4,6,5]
[3,4,7,1,5,2,8,6]=>[7,5,3,4,1,8,2,6]
[3,6,7,4,1,5,8,2]=>[4,7,3,8,2,6,5,1]
[4,3,2,7,1,5,8,6]=>[7,3,4,2,1,8,5,6]
[3,1,2,8,6,5,4,7]=>[3,1,2,5,6,8,4,7]
[5,4,8,6,1,2,3,7]=>[6,1,2,5,4,8,3,7]
[5,6,8,7,4,3,1,2]=>[3,1,4,7,5,6,8,2]
[1,8,2,7,4,3,6,5]=>[1,8,4,7,6,3,2,5]
[6,5,8,2,3,7,1,4]=>[7,8,2,1,6,5,3,4]
[6,4,8,5,3,1,7,2]=>[3,5,8,7,6,2,1,4]
[5,7,8,6,1,3,2,4]=>[6,3,1,2,5,8,7,4]
[2,4,8,1,6,3,7,5]=>[8,2,6,4,7,1,3,5]
[3,1,2,8,6,4,7,5]=>[3,1,2,6,8,7,5,4]
[5,3,2,6,4,8,1,7]=>[8,3,5,6,2,4,1,7]
[4,1,6,3,5,8,2,7]=>[4,8,6,1,3,5,2,7]
[2,4,5,3,8,6,1,7]=>[6,2,5,4,3,8,1,7]
[1,8,5,3,2,7,6,4]=>[1,3,5,8,6,7,4,2]
[1,8,4,5,2,6,7,3]=>[1,5,7,8,4,2,6,3]
[4,1,2,7,6,5,8,3]=>[4,1,8,2,6,7,5,3]
[2,4,1,6,7,8,5,3]=>[4,2,5,1,8,6,7,3]
[1,8,4,3,6,2,7,5]=>[1,6,4,8,7,3,2,5]
[5,6,7,3,2,8,1,4]=>[8,3,7,1,5,6,2,4]
[2,5,7,3,6,8,4,1]=>[4,2,8,7,5,1,6,3]
[5,3,2,1,4,8,6,7]=>[2,3,5,1,4,8,6,7]
[5,3,1,4,2,8,6,7]=>[3,5,4,2,1,8,6,7]
[7,6,1,3,8,5,4,2]=>[6,4,2,5,7,8,3,1]
[3,4,7,8,1,2,6,5]=>[8,1,3,4,6,2,7,5]
[3,6,7,8,1,4,5,2]=>[8,5,3,1,4,6,7,2]
[3,6,2,8,1,5,4,7]=>[8,6,3,5,1,2,4,7]
[2,3,6,8,5,1,4,7]=>[5,2,3,1,8,6,4,7]
[3,1,6,4,8,2,5,7]=>[3,8,1,6,2,4,5,7]
[7,3,2,6,8,5,1,4]=>[5,3,8,2,7,1,6,4]
[7,3,5,8,4,6,1,2]=>[6,1,7,8,3,4,5,2]
[7,5,2,8,4,1,6,3]=>[4,8,5,7,6,2,1,3]
[7,4,5,8,2,1,3,6]=>[2,8,1,7,4,3,5,6]
[1,8,5,2,4,6,3,7]=>[1,5,8,3,6,4,2,7]
[1,8,4,2,3,5,7,6]=>[1,4,2,8,3,7,5,6]
[6,4,2,8,3,5,1,7]=>[5,4,6,8,2,3,1,7]
[6,3,4,8,2,5,7,1]=>[7,8,6,3,2,4,5,1]
[7,5,4,8,3,6,2,1]=>[2,6,8,5,7,3,4,1]
[2,7,4,8,5,3,6,1]=>[6,2,5,8,7,4,3,1]
[7,1,5,4,8,3,6,2]=>[7,6,8,5,1,3,4,2]
[7,3,2,5,8,4,6,1]=>[6,3,7,8,2,4,5,1]
[8,4,6,3,7,2,5,1]=>[5,7,6,8,2,4,3,1]
[7,4,6,3,8,5,1,2]=>[5,1,8,6,7,2,4,3]
[2,5,6,8,3,4,1,7]=>[4,2,8,3,5,6,1,7]
[8,4,6,2,7,5,3,1]=>[3,5,7,6,8,2,4,1]
[8,5,6,7,2,4,3,1]=>[3,4,7,1,8,5,6,2]
[2,5,6,8,4,3,1,7]=>[3,2,4,8,5,6,1,7]
[2,5,7,8,4,1,3,6]=>[4,2,1,8,5,3,7,6]
[6,5,7,8,4,1,3,2]=>[4,3,1,8,6,5,7,2]
[7,5,6,8,2,4,1,3]=>[4,8,1,2,7,5,6,3]
[7,4,6,2,8,5,1,3]=>[5,8,2,6,7,1,4,3]
[4,3,2,6,8,5,1,7]=>[5,3,4,2,8,6,1,7]
[3,5,6,8,2,4,1,7]=>[4,8,3,2,5,6,1,7]
[3,5,6,8,4,2,1,7]=>[2,4,3,8,5,6,1,7]
[2,6,7,8,1,4,5,3]=>[8,2,5,1,4,6,7,3]
[3,6,7,8,1,4,2,5]=>[8,4,3,1,2,6,7,5]
[3,5,7,8,2,1,4,6]=>[2,8,3,1,5,4,7,6]
[2,6,7,8,1,4,3,5]=>[8,2,4,1,3,6,7,5]
[6,5,7,8,3,1,4,2]=>[3,8,4,2,6,5,7,1]
[2,5,7,8,3,1,4,6]=>[3,2,8,1,5,4,7,6]
[2,4,7,3,8,1,5,6]=>[8,2,7,4,1,5,3,6]
[6,4,7,3,8,1,5,2]=>[8,5,7,6,1,4,3,2]
[6,4,7,3,8,1,2,5]=>[8,1,7,6,2,4,3,5]
[7,4,6,3,8,2,1,5]=>[2,8,6,7,1,4,3,5]
[6,3,2,5,4,8,1,7]=>[8,3,6,5,2,4,1,7]
[6,4,5,2,3,8,1,7]=>[8,5,2,6,4,3,1,7]
[6,4,5,3,2,8,1,7]=>[8,3,5,6,4,2,1,7]
[5,4,6,3,8,2,1,7]=>[2,8,6,5,4,3,1,7]
[5,4,7,3,8,1,6,2]=>[8,6,7,5,4,1,3,2]
[2,5,7,8,3,1,6,4]=>[3,2,8,6,5,1,7,4]
[4,5,7,8,3,1,2,6]=>[3,1,8,4,5,2,7,6]
[4,5,6,8,2,3,1,7]=>[3,8,2,4,5,6,1,7]
[5,4,6,2,8,3,1,7]=>[3,8,6,5,4,1,2,7]
[5,3,2,6,8,4,1,7]=>[4,3,8,5,1,6,2,7]
[5,4,7,2,8,1,3,6]=>[8,7,1,5,4,3,2,6]
[4,5,7,8,2,1,3,6]=>[2,8,1,4,5,3,7,6]
[4,6,7,8,1,3,2,5]=>[8,3,1,4,2,6,7,5]
[4,6,7,8,1,3,5,2]=>[8,5,1,4,3,6,7,2]
[2,6,7,8,1,3,5,4]=>[8,2,1,5,3,6,7,4]
[2,6,7,8,1,5,3,4]=>[8,2,5,3,1,6,7,4]
[4,6,7,8,1,5,2,3]=>[8,5,2,4,1,6,7,3]
[4,6,7,8,1,2,5,3]=>[8,1,5,4,2,6,7,3]
[4,5,7,8,2,1,6,3]=>[2,8,6,4,5,1,7,3]
[5,4,7,2,8,1,6,3]=>[8,7,6,5,4,1,2,3]
[5,3,2,7,8,1,6,4]=>[8,3,5,6,2,1,7,4]
[4,3,2,7,8,1,6,5]=>[8,3,4,2,6,1,7,5]
[3,5,7,8,2,1,6,4]=>[2,8,3,6,5,1,7,4]
[3,6,7,8,1,2,5,4]=>[8,1,3,5,2,6,7,4]
[3,6,7,8,1,5,2,4]=>[8,5,3,2,1,6,7,4]
[3,6,7,8,1,5,4,2]=>[8,4,3,5,1,6,7,2]
[2,6,7,8,1,5,4,3]=>[8,2,4,5,1,6,7,3]
[4,2,7,1,5,3,8,6]=>[7,4,5,2,1,8,3,6]
[4,2,8,6,1,5,3,7]=>[6,4,5,2,1,8,3,7]
[3,2,6,7,5,1,4,8]=>[5,3,2,1,7,6,4,8]
[2,7,1,3,5,4,8,6]=>[7,2,1,5,3,8,4,6]
[4,7,2,1,5,8,6,3]=>[2,7,6,4,1,8,5,3]
[7,2,1,3,5,8,6,4]=>[2,7,1,6,3,8,5,4]
[2,3,6,4,7,1,5,8]=>[7,2,3,6,1,4,5,8]
[1,3,4,8,2,7,5,6]=>[1,8,3,4,7,5,2,6]
[3,1,4,8,2,6,7,5]=>[3,8,1,4,7,2,6,5]
[8,3,1,6,2,5,7,4]=>[3,8,6,7,1,2,5,4]
[4,8,6,2,1,5,7,3]=>[2,6,8,4,3,7,5,1]
[4,8,3,6,5,1,7,2]=>[5,6,7,4,8,1,2,3]
[6,4,7,3,5,1,8,2]=>[5,8,7,6,3,4,1,2]
[6,4,7,5,1,8,2,3]=>[5,7,1,8,6,3,2,4]
[3,6,1,7,5,8,2,4]=>[6,8,3,2,7,1,5,4]
[7,3,5,1,6,8,2,4]=>[5,8,7,2,3,1,6,4]
[4,7,3,5,6,1,8,2]=>[6,8,7,4,3,5,1,2]
[3,4,6,8,5,1,7,2]=>[5,8,3,4,7,6,2,1]
[4,6,8,2,1,5,7,3]=>[2,8,7,4,1,6,5,3]
[6,8,2,1,3,5,7,4]=>[2,8,1,7,3,6,5,4]
[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]
[2,7,3,6,1,4,5,8]=>[6,2,7,1,4,3,5,8]
[2,6,1,3,5,8,4,7]=>[6,2,1,8,3,5,4,7]
[7,3,2,5,6,1,4,8]=>[6,3,7,1,2,5,4,8]
[4,7,5,2,6,1,3,8]=>[6,5,1,4,7,2,3,8]
[4,6,2,8,1,5,3,7]=>[8,6,5,4,1,2,3,7]
[8,4,1,2,7,5,3,6]=>[4,1,8,5,7,2,3,6]
[4,5,6,2,7,1,3,8]=>[7,6,1,4,5,2,3,8]
[8,5,1,2,6,3,4,7]=>[5,1,8,2,6,3,4,7]
[1,6,2,7,4,8,3,5]=>[1,6,8,7,3,2,4,5]
[6,2,1,7,8,5,3,4]=>[2,6,5,3,8,1,7,4]
[6,7,3,8,4,1,5,2]=>[4,8,5,7,2,6,1,3]
[2,7,8,4,1,5,6,3]=>[4,2,8,6,3,5,7,1]
[2,7,1,8,5,6,3,4]=>[7,2,6,3,8,5,1,4]
[8,2,5,1,6,7,3,4]=>[5,8,7,3,2,1,6,4]
[8,2,4,5,1,6,7,3]=>[5,8,7,2,4,1,6,3]
[3,8,4,5,6,1,7,2]=>[6,7,3,8,4,5,1,2]
[4,5,8,3,6,7,1,2]=>[7,1,8,4,5,3,6,2]
[4,5,8,3,7,6,1,2]=>[6,1,7,4,5,8,2,3]
[4,2,8,3,7,1,6,5]=>[7,4,8,2,6,1,3,5]
[7,2,3,4,8,1,6,5]=>[8,7,2,3,6,1,4,5]
[7,2,3,4,8,1,5,6]=>[8,7,2,3,1,5,4,6]
[7,6,3,4,8,5,1,2]=>[5,1,8,2,6,7,4,3]
[7,6,3,5,8,4,1,2]=>[4,1,8,6,2,7,5,3]
[7,6,3,8,4,5,1,2]=>[5,1,6,7,3,8,4,2]
[7,2,3,8,5,1,4,6]=>[5,8,1,2,7,4,3,6]
[7,2,3,8,5,1,6,4]=>[5,8,1,7,6,2,4,3]
[2,6,4,8,1,5,7,3]=>[8,2,7,6,1,4,5,3]
[7,2,3,8,4,1,5,6]=>[4,8,1,7,2,5,3,6]
[7,2,3,5,8,1,4,6]=>[8,7,2,1,3,4,5,6]
[7,8,2,3,6,1,4,5]=>[6,8,2,1,4,3,7,5]
[7,8,2,3,6,1,5,4]=>[6,8,2,5,1,3,7,4]
[4,2,6,3,7,1,5,8]=>[7,4,6,2,1,3,5,8]
[7,2,3,5,8,1,6,4]=>[8,7,2,6,3,1,5,4]
[7,2,3,8,4,1,6,5]=>[4,8,1,7,6,2,3,5]
[2,6,4,8,1,3,7,5]=>[8,2,1,6,7,4,3,5]
[3,6,4,8,1,7,5,2]=>[8,5,3,7,6,2,1,4]
[7,6,5,1,2,3,8,4]=>[5,1,2,6,7,8,3,4]
[7,6,5,1,4,2,8,3]=>[5,4,6,1,7,8,2,3]
[2,6,4,5,1,8,7,3]=>[5,2,7,6,4,1,8,3]
[3,5,6,4,1,2,7,8]=>[4,1,3,6,5,2,7,8]
[7,8,5,4,1,2,6,3]=>[4,1,5,8,6,2,7,3]
[3,5,6,4,1,2,8,7]=>[4,1,3,6,5,2,8,7]
[7,6,5,1,4,2,3,8]=>[5,4,2,1,6,7,3,8]
[7,6,5,1,2,4,3,8]=>[5,1,4,2,6,7,3,8]
[7,6,5,1,2,4,8,3]=>[5,1,6,2,7,8,4,3]
[7,6,5,1,3,2,8,4]=>[5,3,1,6,7,8,2,4]
[7,6,5,1,3,2,4,8]=>[5,3,1,2,6,7,4,8]
[7,6,5,1,3,4,2,8]=>[5,4,1,3,6,7,2,8]
[7,2,3,4,5,1,8,6]=>[5,7,2,3,4,8,1,6]
[2,6,4,3,1,5,8,7]=>[3,2,4,6,1,5,8,7]
[2,6,4,3,1,8,5,7]=>[3,2,4,6,8,1,5,7]
[2,6,4,3,1,8,7,5]=>[3,2,4,6,7,1,8,5]
[3,5,8,4,1,2,7,6]=>[4,1,3,8,5,7,2,6]
[3,5,8,4,1,2,6,7]=>[4,1,3,8,5,2,6,7]
[3,5,8,4,1,6,2,7]=>[4,8,3,6,5,2,1,7]
[4,2,8,3,6,1,7,5]=>[6,4,8,2,7,3,1,5]
[3,5,8,4,1,6,7,2]=>[4,8,3,7,5,2,6,1]
[2,5,8,4,1,7,3,6]=>[4,2,8,7,5,1,3,6]
[3,6,4,2,1,7,8,5]=>[2,4,3,6,8,1,7,5]
[3,6,4,2,1,7,5,8]=>[2,4,3,6,7,1,5,8]
[3,5,6,4,1,8,7,2]=>[4,6,3,7,5,2,8,1]
[2,6,4,5,1,3,7,8]=>[5,2,1,6,4,3,7,8]
[7,6,5,1,4,3,8,2]=>[5,6,4,1,7,8,3,2]
[7,6,5,1,2,8,4,3]=>[5,1,4,6,7,8,2,3]
[7,6,5,1,2,8,3,4]=>[5,1,6,3,7,8,2,4]
[7,6,5,1,8,2,4,3]=>[5,6,4,2,7,8,1,3]
[7,6,5,1,8,2,3,4]=>[5,6,2,3,7,8,1,4]
[7,6,5,1,8,3,2,4]=>[5,3,6,2,7,8,1,4]
[7,6,5,1,4,8,2,3]=>[5,6,2,1,7,8,4,3]
[3,6,4,5,1,7,2,8]=>[5,7,3,6,4,1,2,8]
[2,5,6,4,1,7,8,3]=>[4,2,6,8,5,3,7,1]
[7,8,5,4,1,6,3,2]=>[4,3,5,8,6,1,7,2]
[2,5,6,4,1,7,3,8]=>[4,2,6,7,5,3,1,8]
[3,6,4,5,1,7,8,2]=>[5,8,3,6,4,1,7,2]
[7,6,5,1,4,8,3,2]=>[5,3,6,1,7,8,4,2]
[7,6,5,1,8,3,4,2]=>[5,4,6,3,7,8,1,2]
[7,6,5,1,8,4,2,3]=>[5,4,2,6,7,8,1,3]
[4,1,7,6,2,8,5,3]=>[4,6,5,1,7,8,3,2]
[7,8,6,2,1,3,5,4]=>[2,6,1,5,3,8,7,4]
[3,7,6,1,2,8,4,5]=>[6,1,3,7,2,8,4,5]
[2,6,5,3,1,4,8,7]=>[3,2,5,1,6,4,8,7]
[4,6,1,5,3,2,8,7]=>[6,3,5,4,1,2,8,7]
[3,6,1,4,2,5,8,7]=>[6,4,3,1,2,5,8,7]
[2,6,4,5,7,8,1,3]=>[8,2,1,6,4,5,7,3]
[8,7,1,6,5,2,4,3]=>[7,5,4,2,6,1,8,3]
[7,2,5,6,8,1,3,4]=>[8,7,1,3,2,5,6,4]
[6,1,3,4,2,8,7,5]=>[6,4,1,3,7,2,8,5]
[2,4,5,6,1,8,7,3]=>[6,2,7,4,5,1,8,3]
[8,4,1,6,5,7,3,2]=>[4,3,8,7,6,2,5,1]
[2,8,3,4,7,5,1,6]=>[5,2,7,1,8,3,4,6]
[6,8,2,7,4,3,5,1]=>[5,8,4,7,3,6,2,1]
[4,7,8,5,1,6,3,2]=>[5,3,8,4,6,2,7,1]
[8,2,6,4,7,3,5,1]=>[5,8,7,6,3,2,4,1]
[4,8,6,1,7,3,2,5]=>[6,3,8,4,1,7,2,5]
[8,7,3,2,1,5,4,6]=>[2,3,7,5,1,4,8,6]
[3,8,5,1,7,2,4,6]=>[5,8,3,1,7,4,2,6]
[6,8,7,1,3,2,4,5]=>[7,3,1,2,4,6,8,5]
[2,5,1,8,7,4,6,3]=>[5,2,6,7,1,4,8,3]
[3,7,1,8,4,5,6,2]=>[7,6,3,8,4,5,1,2]
[6,2,3,8,4,7,5,1]=>[5,7,1,6,8,4,3,2]
[8,6,4,3,1,7,2,5]=>[3,4,6,8,1,7,2,5]
[8,3,7,4,6,1,2,5]=>[6,1,8,7,2,4,3,5]
[7,1,3,8,6,4,5,2]=>[7,5,1,6,4,8,3,2]
[2,3,5,8,6,7,4,1]=>[4,2,3,7,5,8,6,1]
[7,4,2,1,8,6,5,3]=>[2,4,7,5,6,8,3,1]
[4,6,7,2,5,8,3,1]=>[3,8,7,4,1,6,5,2]
[7,6,2,5,3,8,1,4]=>[8,6,5,1,2,7,3,4]
[6,2,1,3,4,8,7,5]=>[2,6,1,3,7,4,8,5]
[6,5,4,2,8,3,1,7]=>[3,8,4,5,6,1,2,7]
[5,4,3,1,8,7,2,6]=>[3,4,5,7,1,2,8,6]
[6,1,4,3,8,5,2,7]=>[6,5,4,1,8,3,2,7]
[4,7,6,2,8,1,5,3]=>[8,6,5,4,1,7,2,3]
[6,4,5,1,7,8,3,2]=>[5,3,8,6,4,1,7,2]
[4,2,3,1,7,8,6,5]=>[3,4,2,1,6,8,7,5]
[3,4,2,1,8,6,7,5]=>[2,4,3,1,7,8,6,5]
[2,7,6,8,1,5,3,4]=>[8,2,5,3,1,7,6,4]
[6,4,5,8,3,1,2,7]=>[3,1,8,6,4,5,2,7]
[8,1,3,2,5,6,7,4]=>[8,3,1,7,2,5,6,4]
[3,6,8,1,5,2,4,7]=>[8,5,3,2,1,6,4,7]
[3,2,8,7,4,5,1,6]=>[5,3,2,7,4,1,8,6]
[6,3,8,5,7,4,2,1]=>[2,4,7,6,8,1,5,3]
[7,4,6,8,5,1,2,3]=>[5,1,2,8,7,3,6,4]
[2,1,4,8,7,5,3,6]=>[2,1,5,4,7,3,8,6]
[2,1,6,8,3,7,5,4]=>[2,1,8,5,7,6,3,4]
[3,6,8,2,4,1,5,7]=>[4,8,3,2,1,6,5,7]
[6,2,8,1,7,5,4,3]=>[8,6,4,5,7,2,1,3]
[2,6,5,4,8,1,3,7]=>[8,2,1,5,6,4,3,7]
[6,5,3,4,8,1,7,2]=>[8,7,5,3,6,4,1,2]
[8,4,3,2,5,1,7,6]=>[5,3,4,8,2,7,1,6]
[4,2,8,1,5,3,6,7]=>[8,4,5,2,1,3,6,7]
[5,1,8,2,6,4,3,7]=>[5,8,4,6,1,2,3,7]
[7,4,8,6,2,1,3,5]=>[2,6,1,8,4,7,3,5]
[4,6,2,8,3,7,5,1]=>[5,7,6,4,8,3,1,2]
[2,1,5,8,3,6,4,7]=>[2,1,8,6,5,3,4,7]
[2,8,5,3,6,7,1,4]=>[7,2,5,1,8,3,6,4]
[7,8,5,6,4,1,3,2]=>[4,3,1,6,8,5,7,2]
[5,8,4,1,6,3,7,2]=>[4,8,7,6,5,2,1,3]
[4,8,1,3,5,7,6,2]=>[8,6,1,4,3,7,5,2]
[3,8,1,4,5,6,2,7]=>[8,6,3,1,4,5,2,7]
[7,6,8,3,5,1,4,2]=>[5,4,8,1,3,7,6,2]
[7,8,6,3,5,1,4,2]=>[5,4,6,1,3,8,7,2]
[5,3,8,7,6,1,4,2]=>[6,4,5,1,3,7,8,2]
[6,5,8,4,7,1,3,2]=>[7,3,1,8,6,5,4,2]
[6,7,4,2,5,3,1,8]=>[3,5,4,7,1,6,2,8]
[7,6,4,8,3,1,5,2]=>[3,8,5,6,2,7,4,1]
[7,4,8,5,6,1,3,2]=>[6,3,1,7,8,5,4,2]
[7,4,2,5,6,3,1,8]=>[3,6,4,7,1,5,2,8]
[4,2,7,5,6,3,1,8]=>[3,6,4,1,7,5,2,8]
[3,4,7,5,6,2,1,8]=>[2,6,3,4,7,5,1,8]
[4,7,3,5,6,2,1,8]=>[2,6,7,4,3,5,1,8]
[3,7,2,5,6,4,1,8]=>[4,6,3,7,1,5,2,8]
[7,8,3,5,6,1,4,2]=>[6,4,8,1,3,5,7,2]
[1,6,8,5,2,7,4,3]=>[1,5,4,8,7,6,3,2]
[6,2,8,5,1,7,4,3]=>[5,8,4,6,7,3,2,1]
[6,7,4,8,2,1,5,3]=>[2,8,5,7,1,6,4,3]
[3,2,7,8,6,1,5,4]=>[6,3,2,5,1,8,7,4]
[6,8,4,1,2,3,7,5]=>[4,1,2,8,7,6,3,5]
[4,1,8,5,6,3,2,7]=>[4,3,6,1,8,5,2,7]
[1,8,2,5,6,4,3,7]=>[1,8,4,6,2,5,3,7]
[6,1,8,5,3,7,4,2]=>[6,4,7,5,8,1,2,3]
[3,8,1,5,2,7,6,4]=>[8,5,3,6,1,7,2,4]
[8,2,1,5,3,7,6,4]=>[2,8,5,6,1,7,3,4]
[1,5,2,4,6,7,8,3]=>[1,5,8,2,4,6,7,3]
[4,1,5,3,6,7,8,2]=>[4,8,5,1,3,6,7,2]
[8,1,6,5,3,7,2,4]=>[8,7,5,2,6,1,3,4]
[7,1,4,6,3,2,8,5]=>[7,3,6,1,8,4,2,5]
[3,2,6,4,1,7,8,5]=>[4,3,2,6,8,1,7,5]
[7,6,4,3,1,2,8,5]=>[3,1,4,6,7,8,5,2]
[8,6,3,5,1,7,2,4]=>[5,7,6,2,3,8,1,4]
[4,5,3,1,6,7,8,2]=>[3,5,8,4,2,6,7,1]
[3,5,2,1,6,7,8,4]=>[2,5,3,8,1,6,7,4]
[5,2,3,1,6,7,8,4]=>[3,5,2,8,1,6,7,4]
[1,5,3,2,6,7,8,4]=>[1,3,5,8,2,6,7,4]
[8,4,6,5,1,7,2,3]=>[5,6,1,7,8,3,2,4]
[7,5,4,6,1,2,8,3]=>[6,1,8,5,7,4,2,3]
[3,2,5,6,1,7,8,4]=>[6,3,2,8,5,1,7,4]
[3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5]
[6,8,4,7,2,1,3,5]=>[2,7,1,8,3,6,4,5]
[3,8,7,5,6,1,2,4]=>[6,1,3,2,7,5,8,4]
[8,2,7,5,6,1,3,4]=>[6,8,1,3,7,5,2,4]
[4,8,6,5,1,7,3,2]=>[5,3,6,4,8,7,1,2]
[1,7,4,6,2,3,8,5]=>[1,6,2,7,8,4,3,5]
[7,6,4,2,1,5,8,3]=>[2,4,6,7,1,8,5,3]
[5,7,4,6,1,3,8,2]=>[6,8,1,7,5,4,3,2]
[8,6,4,7,3,1,2,5]=>[3,1,7,6,2,8,4,5]
[5,2,4,3,7,1,8,6]=>[7,5,4,2,3,8,1,6]
[3,5,4,2,7,1,8,6]=>[7,4,3,5,2,8,1,6]
[8,6,4,1,3,5,2,7]=>[4,6,2,5,3,8,1,7]
[6,7,4,1,5,3,8,2]=>[4,7,8,5,2,6,1,3]
[7,5,4,1,2,6,8,3]=>[4,1,5,7,8,2,6,3]
[1,7,4,2,3,6,8,5]=>[1,4,2,7,8,3,6,5]
[1,8,2,5,3,7,6,4]=>[1,8,5,6,2,7,3,4]
[6,8,1,5,4,7,3,2]=>[8,3,7,5,1,6,4,2]
[8,2,1,5,6,4,3,7]=>[2,8,4,6,1,5,3,7]
[3,8,1,5,6,4,2,7]=>[8,4,3,6,1,5,2,7]
[6,8,4,1,2,5,3,7]=>[4,1,8,5,3,6,2,7]
[3,2,8,1,6,5,4,7]=>[8,3,2,5,6,1,4,7]
[3,2,6,1,5,7,8,4]=>[6,3,2,8,1,5,7,4]
[7,6,4,1,5,2,8,3]=>[4,6,5,7,1,8,3,2]
[8,6,1,5,4,7,2,3]=>[6,8,1,5,2,7,4,3]
[3,5,1,4,6,7,8,2]=>[5,8,3,1,4,6,7,2]
[5,2,1,4,6,7,8,3]=>[2,5,8,1,4,6,7,3]
[5,4,1,3,6,7,8,2]=>[4,5,2,8,3,6,7,1]
[8,4,1,5,3,7,2,6]=>[4,8,7,5,2,3,1,6]
[7,5,4,1,3,2,8,6]=>[4,3,1,5,7,8,2,6]
[3,2,5,1,4,7,8,6]=>[5,3,2,1,4,8,7,6]
[7,1,4,3,5,2,8,6]=>[7,5,4,1,3,8,2,6]
[8,1,3,5,4,7,2,6]=>[8,7,1,5,3,2,4,6]
[5,1,3,4,6,7,8,2]=>[5,8,1,3,4,6,7,2]
[3,1,8,2,5,7,4,6]=>[3,8,1,7,2,4,5,6]
[8,3,2,6,1,4,7,5]=>[6,3,8,1,7,2,4,5]
[2,8,1,6,4,3,7,5]=>[8,2,4,6,7,1,3,5]
[2,6,1,3,8,7,5,4]=>[6,2,1,5,7,3,8,4]
[2,5,7,1,3,8,6,4]=>[7,2,1,6,5,8,3,4]
[2,6,8,1,5,7,4,3]=>[8,2,4,7,1,6,5,3]
[2,7,1,5,8,4,6,3]=>[7,2,6,8,1,4,5,3]
[2,7,1,6,4,8,3,5]=>[7,2,8,6,3,1,4,5]
[2,7,1,6,5,3,8,4]=>[7,2,5,6,8,1,4,3]
[2,8,1,7,6,5,4,3]=>[8,2,4,5,6,7,1,3]
[8,3,2,7,1,6,5,4]=>[7,3,8,5,6,1,2,4]
[4,1,8,7,3,2,6,5]=>[4,3,7,1,6,2,8,5]
[4,1,7,2,8,6,5,3]=>[4,7,5,1,6,8,2,3]
[3,7,1,8,6,5,4,2]=>[7,4,3,5,6,8,1,2]
[3,7,6,1,4,2,5,8]=>[6,4,3,1,2,7,5,8]
[3,7,5,1,4,6,8,2]=>[5,7,3,2,8,4,6,1]
[3,6,8,5,1,4,7,2]=>[5,8,3,2,7,6,4,1]
[7,3,5,8,2,1,4,6]=>[2,8,7,1,3,4,5,6]
[7,3,6,2,1,4,5,8]=>[2,6,7,1,4,3,5,8]
[7,3,6,2,1,5,4,8]=>[2,6,7,5,1,3,4,8]
[7,4,2,8,1,6,5,3]=>[8,4,7,5,6,1,3,2]
[8,7,5,3,2,1,6,4]=>[2,3,5,7,6,4,8,1]
[7,5,2,6,3,1,4,8]=>[3,6,5,2,7,1,4,8]
[7,4,6,2,1,8,3,5]=>[2,6,8,7,3,4,1,5]
[6,8,4,5,2,1,7,3]=>[2,5,7,8,4,6,1,3]
[4,6,8,5,1,7,3,2]=>[5,3,8,4,7,6,2,1]
[4,7,5,1,3,8,6,2]=>[5,7,2,4,6,8,3,1]
[4,7,6,1,5,3,2,8]=>[6,3,5,4,1,7,2,8]
[5,1,7,6,3,8,2,4]=>[5,8,6,2,1,7,3,4]
[5,1,7,6,4,2,8,3]=>[5,4,6,7,1,8,2,3]
[5,1,8,7,6,4,3,2]=>[5,3,4,6,1,7,8,2]
[8,5,2,1,7,6,4,3]=>[2,5,4,8,6,7,3,1]
[8,5,2,1,6,3,7,4]=>[2,5,8,6,7,3,4,1]
[5,1,8,6,3,2,7,4]=>[5,3,6,8,1,7,4,2]
[3,6,1,7,4,8,2,5]=>[6,8,3,7,2,1,4,5]
[4,1,8,6,3,7,2,5]=>[4,7,6,1,2,8,3,5]
[8,4,2,5,7,3,1,6]=>[3,7,4,8,1,2,5,6]
[3,4,6,8,5,7,1,2]=>[7,1,3,4,8,6,5,2]
[5,4,8,2,7,3,6,1]=>[6,8,7,5,4,3,2,1]
[5,4,8,7,3,6,1,2]=>[6,1,7,5,4,3,8,2]
[8,5,4,7,3,6,2,1]=>[2,6,7,5,8,3,4,1]
[6,4,3,8,7,1,2,5]=>[7,1,4,6,2,3,8,5]
[6,3,7,2,4,8,1,5]=>[8,7,6,2,1,3,4,5]
[5,6,8,4,2,7,3,1]=>[3,7,4,8,5,6,1,2]
[5,7,4,2,8,1,3,6]=>[8,4,1,7,5,3,2,6]
[6,5,2,7,1,3,8,4]=>[7,5,1,6,8,4,3,2]
[8,6,5,4,2,1,7,3]=>[2,4,5,6,8,7,3,1]
[6,4,7,3,1,8,2,5]=>[3,7,8,6,1,4,2,5]
[5,7,4,3,8,6,1,2]=>[6,1,4,8,5,7,2,3]
[7,5,8,4,6,3,2,1]=>[2,3,6,8,7,4,5,1]
[7,6,4,8,3,5,2,1]=>[2,5,8,6,3,7,4,1]
[7,6,5,3,8,2,4,1]=>[4,8,5,2,6,7,3,1]
[5,6,3,7,4,2,1,8]=>[2,4,7,6,5,1,3,8]
[7,6,3,8,5,1,4,2]=>[5,4,8,3,6,7,1,2]
[6,4,8,1,3,2,5,7]=>[8,3,1,6,2,4,5,7]
[7,4,8,6,3,1,5,2]=>[3,6,5,8,4,7,2,1]
[4,2,7,6,5,3,1,8]=>[3,5,4,1,6,7,2,8]
[3,7,2,4,6,5,1,8]=>[5,6,3,1,7,4,2,8]
[8,1,3,4,5,2,6,7]=>[8,5,1,3,4,2,6,7]
[1,6,8,4,2,5,3,7]=>[1,4,8,5,3,6,2,7]
[6,2,8,4,1,5,7,3]=>[4,8,6,7,2,3,5,1]
[6,7,4,8,5,1,2,3]=>[5,1,2,8,7,6,3,4]
[3,2,7,8,5,1,6,4]=>[5,3,2,8,6,4,7,1]
[3,2,8,1,5,4,6,7]=>[8,3,2,5,1,4,6,7]
[6,1,4,8,5,3,7,2]=>[6,7,5,1,8,4,3,2]
[1,4,8,5,2,6,7,3]=>[1,5,8,4,7,3,6,2]
[6,1,8,4,3,7,2,5]=>[6,7,4,8,2,1,3,5]
[3,7,1,4,2,5,8,6]=>[7,4,3,1,2,8,5,6]
[7,2,1,4,3,5,6,8]=>[2,7,4,1,3,5,6,8]
[4,1,5,3,6,8,2,7]=>[4,8,5,1,3,6,2,7]
[6,1,8,5,3,2,7,4]=>[6,3,5,8,7,1,4,2]
[7,1,4,6,3,8,5,2]=>[7,5,8,1,6,4,2,3]
[3,2,6,4,1,8,7,5]=>[4,3,2,6,7,1,8,5]
[7,6,4,3,1,8,2,5]=>[3,4,6,7,1,8,2,5]
[3,5,2,1,8,7,6,4]=>[2,5,3,6,1,7,8,4]
[1,5,3,2,8,6,4,7]=>[1,3,5,6,2,8,4,7]
[5,4,2,1,7,8,6,3]=>[2,4,5,6,3,8,7,1]
[8,2,7,6,5,1,3,4]=>[5,6,1,3,7,8,2,4]
[8,6,2,7,1,4,5,3]=>[7,6,5,1,4,8,2,3]
[1,7,3,6,2,8,5,4]=>[1,6,7,5,8,3,2,4]
[7,6,3,2,1,8,5,4]=>[2,3,6,5,7,8,4,1]
[8,6,3,7,4,1,2,5]=>[4,1,7,6,3,8,2,5]
[5,2,3,4,7,1,8,6]=>[7,5,2,3,4,8,1,6]
[8,6,3,1,4,5,7,2]=>[3,6,8,1,4,7,5,2]
[6,7,3,1,5,4,2,8]=>[3,7,4,5,2,6,1,8]
[5,8,3,1,2,4,7,6]=>[3,1,8,2,5,7,4,6]
[8,1,3,2,4,5,6,7]=>[8,3,1,2,4,5,6,7]
[8,4,1,7,2,3,6,5]=>[4,8,1,7,6,3,2,5]
[8,2,1,6,5,4,7,3]=>[2,8,7,5,6,1,4,3]
[3,8,1,5,6,4,7,2]=>[8,7,3,6,1,5,4,2]
[6,8,4,1,2,5,7,3]=>[4,1,8,7,3,6,5,2]
[3,2,8,1,6,5,7,4]=>[8,3,2,7,6,1,5,4]
[7,6,4,1,5,2,3,8]=>[4,6,1,5,2,7,3,8]
[8,6,1,5,4,7,3,2]=>[6,3,8,5,2,7,4,1]
[3,5,1,4,6,7,2,8]=>[5,7,3,1,4,6,2,8]
[5,2,1,4,7,6,3,8]=>[2,5,6,1,4,7,3,8]
[4,5,8,2,1,3,7,6]=>[2,8,1,4,5,7,3,6]
[5,8,2,3,1,4,6,7]=>[3,8,2,1,5,4,6,7]
[4,2,1,3,5,8,7,6]=>[2,4,1,3,5,7,8,6]
[5,4,1,3,6,2,8,7]=>[4,5,2,6,3,1,8,7]
[8,5,4,1,3,6,2,7]=>[4,5,1,8,6,3,2,7]
[3,2,5,1,4,6,8,7]=>[5,3,2,1,4,6,8,7]
[8,1,4,3,5,6,7,2]=>[8,7,4,1,3,5,6,2]
[7,1,3,5,4,6,2,8]=>[7,6,1,5,3,4,2,8]
[5,1,3,4,6,2,7,8]=>[5,6,1,3,4,2,7,8]
[4,1,3,2,5,7,6,8]=>[4,3,1,2,5,7,6,8]
[6,8,2,4,5,1,3,7]=>[5,8,1,2,4,6,3,7]
[3,6,7,2,5,1,4,8]=>[5,7,3,1,2,6,4,8]
[4,6,7,3,1,5,2,8]=>[3,7,5,4,2,6,1,8]
[5,8,1,2,4,7,3,6]=>[8,1,7,2,5,3,4,6]
[6,8,1,3,5,2,7,4]=>[8,5,1,7,3,6,2,4]
[6,8,3,1,4,5,7,2]=>[3,8,7,2,4,6,5,1]
[7,5,1,8,2,3,6,4]=>[5,7,1,8,6,4,2,3]
[6,1,8,2,3,4,7,5]=>[6,8,2,3,7,1,4,5]
[5,3,8,4,2,6,7,1]=>[7,4,8,5,2,3,6,1]
[5,1,8,4,6,3,7,2]=>[5,7,6,8,1,4,3,2]
[4,1,8,3,5,7,2,6]=>[4,7,8,1,3,2,5,6]
[3,4,7,2,6,1,8,5]=>[6,7,3,4,8,2,1,5]
[4,5,7,3,2,6,8,1]=>[8,3,7,4,5,2,6,1]
[4,5,7,2,3,6,8,1]=>[8,7,2,4,5,3,6,1]
[2,6,3,4,7,5,8,1]=>[8,2,6,3,7,4,5,1]
[3,6,4,2,7,5,8,1]=>[8,4,3,6,7,2,5,1]
[4,5,2,7,1,6,8,3]=>[7,5,8,4,2,1,6,3]
[3,4,1,6,5,8,2,7]=>[4,8,3,1,6,5,2,7]
[4,1,2,8,5,7,3,6]=>[4,1,7,2,8,3,5,6]
[5,1,4,8,6,2,7,3]=>[5,6,8,1,4,7,3,2]
[7,3,1,4,8,5,6,2]=>[3,7,6,2,8,5,4,1]
[5,6,3,1,7,4,2,8]=>[3,6,4,7,5,2,1,8]
[7,3,4,1,8,5,2,6]=>[4,5,8,2,7,3,1,6]
[6,4,2,8,7,1,5,3]=>[7,4,6,5,1,3,8,2]
[7,2,4,8,1,5,3,6]=>[8,7,5,2,1,3,4,6]
[2,6,3,7,5,1,4,8]=>[5,2,7,3,6,1,4,8]
[7,1,3,8,5,2,4,6]=>[7,5,1,2,8,4,3,6]
[1,5,3,7,8,2,4,6]=>[1,8,5,2,3,4,7,6]
[3,2,6,7,1,8,4,5]=>[7,3,2,8,4,6,1,5]
[4,6,3,1,7,8,5,2]=>[3,6,5,4,8,2,7,1]
[5,3,1,6,7,8,4,2]=>[3,5,4,8,2,6,7,1]
[4,1,6,2,7,8,5,3]=>[4,6,5,1,8,2,7,3]
[2,1,3,4,8,7,5,6]=>[2,1,3,4,7,5,8,6]
[4,8,3,7,6,5,1,2]=>[5,1,6,4,7,8,3,2]
[6,3,8,7,5,4,1,2]=>[4,1,5,7,6,3,8,2]
[5,3,8,7,6,4,1,2]=>[4,1,6,5,2,7,8,3]
[2,8,7,6,1,5,4,3]=>[6,2,4,5,1,7,8,3]
[5,2,8,7,6,1,4,3]=>[6,5,4,1,2,7,8,3]
[6,2,8,7,5,1,4,3]=>[5,7,4,2,6,1,8,3]
[7,8,2,6,5,1,4,3]=>[5,6,4,2,8,1,7,3]
[6,1,8,7,5,4,3,2]=>[6,3,4,5,7,1,8,2]
[3,1,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,2]
[7,8,2,6,1,5,4,3]=>[6,8,4,5,1,2,7,3]
[6,2,8,7,1,5,4,3]=>[7,6,4,5,1,2,8,3]
[4,2,8,1,7,6,5,3]=>[8,4,5,2,6,7,1,3]
[4,8,2,7,6,1,5,3]=>[6,7,5,4,2,8,1,3]
[3,8,7,2,1,6,5,4]=>[2,7,3,5,6,1,8,4]
[6,5,8,7,1,4,3,2]=>[7,3,4,1,6,5,8,2]
[4,8,1,7,6,5,3,2]=>[8,3,5,4,6,7,1,2]
[5,4,1,8,7,6,3,2]=>[4,3,5,6,2,7,8,1]
[6,4,8,1,7,5,3,2]=>[8,3,5,7,6,2,1,4]
[7,8,4,1,6,5,3,2]=>[4,3,8,5,6,2,7,1]
[7,8,3,1,6,5,4,2]=>[3,8,4,5,6,2,7,1]
[6,3,8,1,7,5,4,2]=>[8,4,5,7,6,3,1,2]
[5,3,1,8,7,6,4,2]=>[3,5,4,6,2,7,8,1]
[7,8,2,1,6,5,4,3]=>[2,8,4,5,6,1,7,3]
[6,5,3,1,8,7,4,2]=>[3,5,4,6,7,1,8,2]
[6,4,3,1,8,7,5,2]=>[3,4,6,5,7,1,8,2]
[5,4,3,1,8,7,6,2]=>[3,4,5,6,1,7,8,2]
[7,5,2,1,8,6,4,3]=>[2,5,4,7,6,8,3,1]
[5,4,2,1,8,7,6,3]=>[2,4,5,6,3,7,8,1]
[7,3,2,1,8,6,5,4]=>[2,3,7,5,6,8,1,4]
[6,3,2,1,8,7,5,4]=>[2,3,6,5,7,1,8,4]
[6,1,4,2,3,5,8,7]=>[6,4,2,1,3,5,8,7]
[8,6,1,4,2,3,5,7]=>[6,4,2,1,3,8,5,7]
[6,8,1,4,2,3,5,7]=>[8,4,2,1,3,6,5,7]
[8,1,4,2,3,6,5,7]=>[8,4,2,1,6,3,5,7]
[4,1,8,2,3,6,5,7]=>[4,8,2,1,6,3,5,7]
[8,2,3,6,1,4,5,7]=>[6,8,2,1,4,3,5,7]
[6,2,3,8,1,4,5,7]=>[8,6,2,1,4,3,5,7]
[4,6,2,3,8,1,5,7]=>[8,6,2,4,1,3,5,7]
[4,8,2,3,6,1,5,7]=>[6,8,2,4,1,3,5,7]
[8,2,3,6,4,1,5,7]=>[4,6,1,8,2,3,5,7]
[8,4,3,6,2,1,5,7]=>[2,6,4,8,1,3,5,7]
[6,2,3,8,4,1,5,7]=>[4,8,1,6,2,3,5,7]
[8,4,2,3,6,1,5,7]=>[6,4,2,8,1,3,5,7]
[6,4,2,3,8,1,5,7]=>[8,4,2,6,1,3,5,7]
[2,6,4,3,8,1,5,7]=>[8,2,4,6,1,3,5,7]
[2,8,4,3,6,1,5,7]=>[6,2,4,8,1,3,5,7]
[2,6,3,8,4,1,5,7]=>[4,2,8,6,3,1,5,7]
[6,3,8,4,2,1,5,7]=>[2,4,8,6,3,1,5,7]
[2,6,3,8,1,4,5,7]=>[8,2,6,1,4,3,5,7]
[2,8,3,6,1,4,5,7]=>[6,2,8,1,4,3,5,7]
[8,3,6,4,2,1,5,7]=>[2,4,6,8,3,1,5,7]
[2,8,3,6,4,1,5,7]=>[4,2,6,8,3,1,5,7]
[8,3,6,2,4,1,5,7]=>[4,6,8,2,1,3,5,7]
[8,3,6,2,1,4,5,7]=>[2,6,8,1,4,3,5,7]
[6,2,1,3,8,4,5,7]=>[2,6,1,8,4,3,5,7]
[8,2,1,3,6,4,5,7]=>[2,8,1,6,4,3,5,7]
[6,3,8,2,4,1,5,7]=>[4,8,6,2,1,3,5,7]
[6,2,4,3,8,1,5,7]=>[8,6,4,2,1,3,5,7]
[3,6,4,7,8,5,1,2]=>[5,1,3,8,6,2,7,4]
[1,6,4,2,7,5,8,3]=>[1,4,6,8,7,3,5,2]
[3,6,4,2,7,1,5,8]=>[7,4,3,6,1,2,5,8]
[1,4,7,2,5,6,8,3]=>[1,7,8,4,2,5,6,3]
[6,4,8,5,3,7,1,2]=>[7,1,5,8,6,3,4,2]
[1,6,5,4,2,7,8,3]=>[1,4,5,6,8,2,7,3]
[4,2,5,3,6,1,7,8]=>[6,4,5,2,3,1,7,8]
[7,1,5,3,6,2,8,4]=>[7,6,5,8,1,3,2,4]
[1,6,5,2,4,8,7,3]=>[1,5,6,3,7,4,8,2]
[1,4,6,2,8,5,7,3]=>[1,6,7,4,8,2,5,3]
[7,8,1,4,2,5,6,3]=>[8,4,6,1,2,5,7,3]
[3,4,8,5,2,1,6,7]=>[2,5,3,4,8,1,6,7]
[4,8,5,3,1,6,2,7]=>[3,5,8,4,6,1,2,7]
[6,1,3,5,8,2,7,4]=>[6,8,1,7,3,5,2,4]
[6,1,8,7,4,2,3,5]=>[6,4,2,7,3,1,8,5]
[1,2,8,5,7,3,6,4]=>[1,2,7,6,8,3,5,4]
[1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]
[1,8,2,5,4,7,6,3]=>[1,8,6,5,2,7,4,3]
[7,1,2,4,5,8,6,3]=>[7,1,6,2,4,8,5,3]
[1,2,7,3,5,8,6,4]=>[1,2,7,6,3,8,5,4]
[6,1,3,2,5,7,8,4]=>[6,3,1,8,2,5,7,4]
[4,6,2,1,7,5,3,8]=>[2,6,5,4,7,1,3,8]
[1,6,3,7,8,5,2,4]=>[1,5,8,3,6,2,7,4]
[4,6,2,3,7,8,1,5]=>[8,6,2,4,1,3,7,5]
[4,6,3,7,1,2,8,5]=>[7,1,6,4,8,3,2,5]
[4,2,1,3,5,7,8,6]=>[2,4,1,3,5,8,7,6]
[7,3,2,4,5,1,8,6]=>[5,3,7,2,4,8,1,6]
[3,8,2,5,4,1,7,6]=>[4,5,3,8,1,7,2,6]
[7,8,4,2,6,3,1,5]=>[3,6,4,8,2,1,7,5]
[4,2,6,3,8,7,1,5]=>[7,4,6,2,1,3,8,5]
[5,8,2,7,4,3,1,6]=>[3,4,7,8,5,1,2,6]
[4,3,8,5,1,7,2,6]=>[5,8,4,3,7,1,2,6]
[4,3,6,8,1,2,7,5]=>[8,1,4,3,7,6,2,5]
[6,4,3,5,2,8,1,7]=>[8,5,4,6,3,2,1,7]
[6,5,3,8,4,2,1,7]=>[2,4,8,5,6,1,3,7]
[3,8,1,7,5,6,4,2]=>[8,4,3,6,7,5,1,2]
[8,2,5,7,3,6,4,1]=>[4,6,8,7,3,1,5,2]
[1,8,6,7,5,3,4,2]=>[1,4,5,3,7,8,6,2]
[8,2,6,7,5,3,4,1]=>[4,8,5,3,7,2,6,1]
[1,5,8,7,2,6,4,3]=>[1,7,4,6,5,2,8,3]
[5,4,8,6,2,3,7,1]=>[7,6,2,5,4,8,3,1]
[2,7,6,1,3,5,4,8]=>[6,2,1,5,3,7,4,8]
[6,4,1,8,2,5,7,3]=>[4,6,8,7,3,2,5,1]
[2,8,6,1,3,5,4,7]=>[6,2,1,5,3,8,4,7]
[4,1,3,6,5,8,7,2]=>[4,7,1,3,6,5,8,2]
[2,1,6,3,5,8,7,4]=>[2,1,6,7,3,5,8,4]
[2,4,1,3,8,5,7,6]=>[4,2,1,3,8,7,5,6]
[2,4,1,3,5,8,7,6]=>[4,2,1,3,5,7,8,6]
[2,6,1,3,5,8,7,4]=>[6,2,1,7,3,5,8,4]
[4,6,1,3,5,8,7,2]=>[6,7,1,4,3,5,8,2]
[6,1,4,3,5,8,7,2]=>[6,7,4,1,3,5,8,2]
[6,4,1,3,5,8,7,2]=>[4,6,2,7,3,5,8,1]
[6,2,1,3,5,8,7,4]=>[2,6,1,7,3,5,8,4]
[4,2,1,3,6,5,7,8]=>[2,4,1,3,6,5,7,8]
[4,2,1,6,3,5,7,8]=>[2,4,6,1,3,5,7,8]
[6,2,1,8,3,5,7,4]=>[2,6,8,7,3,1,5,4]
[6,2,1,3,8,5,7,4]=>[2,6,1,7,8,3,5,4]
[6,1,4,3,8,5,7,2]=>[6,7,4,1,8,3,5,2]
[1,6,4,3,8,5,7,2]=>[1,7,4,6,8,3,5,2]
[8,1,4,3,6,5,7,2]=>[8,7,4,1,6,3,5,2]
[8,4,1,3,6,5,7,2]=>[4,8,2,7,6,3,5,1]
[8,2,1,3,6,5,7,4]=>[2,8,1,7,6,3,5,4]
[8,2,1,6,3,5,7,4]=>[2,8,6,7,3,1,5,4]
[8,2,1,4,3,5,7,6]=>[2,8,4,1,3,7,5,6]
[6,2,1,4,3,5,7,8]=>[2,6,4,1,3,5,7,8]
[8,2,4,1,3,5,7,6]=>[4,8,1,2,3,7,5,6]
[8,2,6,1,3,5,7,4]=>[6,8,1,7,3,2,5,4]
[8,4,6,1,3,5,7,2]=>[6,7,1,8,3,4,5,2]
[8,4,1,6,3,5,7,2]=>[4,8,7,6,1,2,5,3]
[8,1,4,6,3,5,7,2]=>[8,7,6,1,3,4,5,2]
[1,8,4,6,3,5,7,2]=>[1,7,6,8,3,4,5,2]
[1,6,4,8,3,5,7,2]=>[1,7,8,6,3,4,5,2]
[6,4,1,8,3,5,7,2]=>[4,6,7,8,1,2,5,3]
[6,4,8,1,3,5,7,2]=>[8,7,1,6,3,4,5,2]
[6,2,8,1,3,5,7,4]=>[8,6,1,7,3,2,5,4]
[4,2,8,1,3,5,7,6]=>[8,4,1,2,3,7,5,6]
[2,6,8,1,3,5,7,4]=>[8,2,1,7,3,6,5,4]
[4,6,8,1,3,5,7,2]=>[8,7,1,4,3,6,5,2]
[4,6,1,8,3,5,7,2]=>[6,7,8,4,3,1,5,2]
[4,1,6,8,3,5,7,2]=>[4,7,8,1,3,6,5,2]
[1,4,6,3,8,5,7,2]=>[1,7,6,4,8,3,5,2]
[4,6,1,3,8,5,7,2]=>[6,7,1,4,8,3,5,2]
[2,4,1,8,3,5,7,6]=>[4,2,8,1,3,7,5,6]
[2,1,6,8,3,5,7,4]=>[2,1,8,7,3,6,5,4]
[4,1,3,6,8,5,7,2]=>[4,7,1,3,8,6,5,2]
[1,4,3,6,8,5,7,2]=>[1,7,4,3,8,6,5,2]
[4,1,3,8,6,5,7,2]=>[4,7,1,3,6,8,5,2]
[2,1,8,3,6,5,7,4]=>[2,1,8,7,6,3,5,4]
[2,1,6,4,3,5,7,8]=>[2,1,4,6,3,5,7,8]
[2,6,1,4,3,5,7,8]=>[6,2,4,1,3,5,7,8]
[2,8,1,4,3,5,7,6]=>[8,2,4,1,3,7,5,6]
[2,8,1,6,3,5,7,4]=>[8,2,6,7,3,1,5,4]
[4,8,1,3,6,5,7,2]=>[8,7,1,4,6,3,5,2]
[1,4,8,3,6,5,7,2]=>[1,7,8,4,6,3,5,2]
[1,4,8,6,3,5,7,2]=>[1,7,6,4,3,8,5,2]
[4,1,8,6,3,5,7,2]=>[4,7,6,1,3,8,5,2]
[4,8,1,6,3,5,7,2]=>[8,7,6,4,3,1,5,2]
[4,8,6,1,3,5,7,2]=>[6,8,2,4,3,7,5,1]
[2,8,6,1,3,5,7,4]=>[6,2,1,8,4,7,5,3]
[2,8,4,1,3,5,7,6]=>[4,2,1,8,3,7,5,6]
[2,6,4,1,3,5,7,8]=>[4,2,1,6,3,5,7,8]
[4,6,2,1,3,5,7,8]=>[2,6,1,4,3,5,7,8]
[6,8,1,4,3,5,7,2]=>[8,7,4,1,3,6,5,2]
[6,1,8,4,3,5,7,2]=>[6,7,4,8,3,1,5,2]
[1,6,8,4,3,5,7,2]=>[1,7,4,8,3,6,5,2]
[1,8,6,4,3,5,7,2]=>[1,7,4,6,3,8,5,2]
[8,1,6,4,3,5,7,2]=>[8,7,4,6,3,1,5,2]
[8,6,1,4,3,5,7,2]=>[6,8,4,2,3,7,5,1]
[8,6,4,1,3,5,7,2]=>[4,6,1,8,3,7,5,2]
[8,6,2,1,3,5,7,4]=>[2,6,1,8,4,7,5,3]
[8,4,2,1,3,5,7,6]=>[2,4,1,8,3,7,5,6]
[7,8,6,5,2,1,4,3]=>[2,5,4,1,6,8,7,3]
[5,7,4,1,8,6,3,2]=>[4,3,7,6,5,8,2,1]
[5,6,4,2,8,3,7,1]=>[7,4,6,8,5,3,2,1]
[5,6,4,2,7,3,1,8]=>[3,7,4,6,5,1,2,8]
[5,7,1,4,6,3,2,8]=>[7,3,6,1,5,4,2,8]
[5,8,1,4,6,3,7,2]=>[8,7,6,1,5,4,3,2]
[3,6,7,4,5,8,2,1]=>[2,8,3,7,4,6,5,1]
[3,5,7,4,6,8,2,1]=>[2,8,3,7,5,4,6,1]
[6,8,4,1,7,2,5,3]=>[4,8,7,5,3,6,2,1]
[5,4,6,1,7,8,3,2]=>[6,3,8,5,4,1,7,2]
[5,6,4,1,8,7,3,2]=>[4,3,6,7,5,2,8,1]
[3,5,8,4,6,7,2,1]=>[2,7,3,8,5,4,6,1]
[3,6,8,4,5,7,2,1]=>[2,7,3,8,4,6,5,1]
[3,7,8,4,5,6,2,1]=>[2,6,3,8,4,5,7,1]
[6,8,1,4,5,3,7,2]=>[8,7,5,1,4,6,3,2]
[6,7,1,4,5,3,2,8]=>[7,3,5,1,4,6,2,8]
[3,7,1,5,4,6,2,8]=>[7,6,3,5,1,4,2,8]
[3,8,1,5,4,6,7,2]=>[8,7,3,5,1,4,6,2]
[3,7,1,5,4,6,8,2]=>[7,8,3,5,1,4,6,2]
[6,7,1,4,5,3,8,2]=>[7,8,5,1,4,6,3,2]
[5,7,1,4,6,3,8,2]=>[7,8,6,1,5,4,3,2]
[5,6,4,2,7,3,8,1]=>[8,4,6,7,5,3,2,1]
[5,4,7,2,8,3,1,6]=>[3,8,7,5,4,2,1,6]
[5,4,7,2,8,3,6,1]=>[6,7,8,5,4,3,2,1]
[5,6,4,2,8,3,1,7]=>[3,8,4,6,5,1,2,7]
[5,8,1,4,6,3,2,7]=>[8,3,6,1,5,4,2,7]
[3,8,1,5,4,6,2,7]=>[8,6,3,5,1,4,2,7]
[3,6,1,5,4,2,7,8]=>[6,4,3,5,1,2,7,8]
[3,6,1,5,4,8,2,7]=>[6,8,3,5,1,4,2,7]
[6,8,3,1,4,2,5,7]=>[3,8,4,2,1,6,5,7]
[7,3,8,1,4,2,5,6]=>[8,4,7,1,2,5,3,6]
[6,7,3,1,4,2,8,5]=>[3,7,4,2,8,6,1,5]
[3,6,1,5,4,7,8,2]=>[6,8,3,5,1,4,7,2]
[3,4,1,2,7,6,5,8]=>[4,1,3,2,6,7,5,8]
[3,4,1,2,6,8,7,5]=>[4,1,3,2,7,6,8,5]
[6,8,3,1,4,7,2,5]=>[3,8,7,2,1,6,4,5]
[6,4,7,2,8,5,1,3]=>[5,8,2,7,6,1,4,3]
[5,8,1,4,7,3,2,6]=>[8,3,7,1,5,2,4,6]
[7,8,1,4,5,3,2,6]=>[8,3,5,1,4,2,7,6]
[3,8,1,5,4,7,2,6]=>[8,7,3,5,1,2,4,6]
[3,6,1,5,4,8,7,2]=>[6,7,3,5,1,4,8,2]
[3,6,1,5,4,7,2,8]=>[6,7,3,5,1,4,2,8]
[6,7,3,1,4,2,5,8]=>[3,7,4,2,1,6,5,8]
[6,8,3,1,4,2,7,5]=>[3,8,4,2,7,6,1,5]
[7,8,3,1,4,6,2,5]=>[3,8,6,2,1,4,7,5]
[7,8,4,2,6,5,1,3]=>[5,4,2,6,8,1,7,3]
[6,5,8,7,3,4,2,1]=>[2,4,7,3,6,5,8,1]
[7,8,3,1,4,6,5,2]=>[3,8,5,2,6,4,7,1]
[6,7,3,1,4,5,2,8]=>[3,7,5,2,4,6,1,8]
[3,7,1,5,4,2,6,8]=>[7,4,3,5,1,2,6,8]
[3,8,1,5,4,2,7,6]=>[8,4,3,5,1,7,2,6]
[5,8,1,4,7,3,6,2]=>[8,6,7,1,5,3,4,2]
[6,8,4,2,7,5,3,1]=>[3,5,4,7,8,6,2,1]
[6,4,7,2,8,5,3,1]=>[3,5,8,7,6,2,4,1]
[6,3,7,1,4,8,5,2]=>[7,5,8,1,6,2,4,3]
[6,8,3,1,4,7,5,2]=>[3,8,5,2,7,6,4,1]
[3,7,1,5,4,8,6,2]=>[7,6,3,5,1,8,4,2]
[3,4,1,2,8,5,7,6]=>[4,1,3,2,8,7,5,6]
[3,4,1,2,5,8,7,6]=>[4,1,3,2,5,7,8,6]
[3,7,1,5,4,2,8,6]=>[7,4,3,5,1,8,2,6]
[6,7,3,1,4,5,8,2]=>[3,7,8,2,4,6,5,1]
[7,3,8,1,4,5,2,6]=>[8,5,7,1,4,2,3,6]
[7,3,8,1,4,5,6,2]=>[8,6,7,1,4,5,3,2]
[6,8,3,1,4,5,2,7]=>[3,8,5,2,4,6,1,7]
[3,8,1,5,4,2,6,7]=>[8,4,3,5,1,2,6,7]
[8,7,6,3,5,2,1,4]=>[2,5,6,1,3,7,8,4]
[8,7,4,6,3,2,1,5]=>[2,3,6,7,1,4,8,5]
[8,5,7,4,3,2,1,6]=>[2,3,4,7,8,1,5,6]
[8,7,6,2,5,4,1,3]=>[4,5,2,6,1,7,8,3]
[8,5,4,7,3,2,1,6]=>[2,3,7,5,8,1,4,6]
[8,7,3,6,5,2,1,4]=>[2,5,6,3,7,1,8,4]
[6,5,8,4,3,2,1,7]=>[2,3,4,8,6,5,1,7]
[8,4,7,6,3,2,1,5]=>[2,3,6,7,4,8,1,5]
[5,8,7,4,3,2,1,6]=>[2,3,4,7,5,1,8,6]
[5,8,6,2,3,4,7,1]=>[7,6,2,3,5,8,4,1]
[4,5,2,7,3,1,8,6]=>[3,7,5,4,1,8,2,6]
[4,8,2,6,3,5,7,1]=>[7,8,6,4,3,2,5,1]
[4,3,7,8,6,5,1,2]=>[5,1,4,3,6,8,7,2]
[4,1,7,2,5,8,6,3]=>[4,7,6,1,2,8,5,3]
[7,8,2,1,5,6,4,3]=>[2,8,4,6,1,5,7,3]
[1,6,2,5,8,4,3,7]=>[1,6,4,8,2,5,3,7]
[2,1,8,7,4,5,3,6]=>[2,1,5,7,4,3,8,6]
[7,3,1,6,8,5,2,4]=>[3,7,5,1,8,2,6,4]
[1,5,8,6,2,3,7,4]=>[1,6,2,8,5,7,4,3]
[2,4,8,3,1,6,5,7]=>[3,2,8,4,6,1,5,7]
[5,2,7,1,8,6,3,4]=>[7,5,6,3,2,8,1,4]
[2,6,1,3,8,7,4,5]=>[6,2,1,7,4,3,8,5]
[6,5,2,8,1,7,3,4]=>[8,5,6,2,7,3,1,4]
[2,8,3,5,1,7,4,6]=>[5,2,8,7,3,4,1,6]
[5,4,3,8,7,1,6,2]=>[7,6,4,5,3,1,8,2]
[8,5,4,3,7,2,6,1]=>[6,7,4,5,8,2,3,1]
[8,3,7,4,2,6,5,1]=>[5,4,6,7,8,2,1,3]
[2,8,6,5,1,7,4,3]=>[5,2,4,6,8,7,1,3]
[6,3,2,8,4,1,7,5]=>[4,3,8,6,7,1,2,5]
[2,8,3,4,1,7,5,6]=>[4,2,8,3,7,5,1,6]
[5,4,2,8,3,1,7,6]=>[3,8,4,5,1,7,2,6]
[2,8,4,3,1,7,6,5]=>[3,2,4,8,6,7,1,5]
[2,8,5,3,1,7,6,4]=>[3,2,5,8,6,7,4,1]
[2,8,6,4,1,7,5,3]=>[4,2,6,5,8,7,1,3]
[3,8,7,5,1,6,4,2]=>[5,4,3,7,6,2,8,1]
[8,3,7,5,2,6,4,1]=>[4,6,5,7,8,1,3,2]
[8,4,7,6,2,5,3,1]=>[3,5,6,7,4,8,1,2]
[4,8,7,6,1,5,3,2]=>[6,3,5,4,1,7,8,2]
[7,4,8,6,2,1,5,3]=>[2,6,5,8,4,7,1,3]
[7,3,8,5,2,1,6,4]=>[2,5,8,7,6,3,4,1]
[7,3,8,4,2,1,6,5]=>[2,4,8,7,6,3,1,5]
[7,5,4,3,8,2,1,6]=>[2,8,4,5,7,1,3,6]
[3,7,8,4,1,2,6,5]=>[4,1,3,8,6,2,7,5]
[3,7,8,5,1,2,6,4]=>[5,1,3,8,6,4,7,2]
[4,7,8,6,1,2,5,3]=>[6,1,5,4,2,8,7,3]
[8,7,4,6,3,5,2,1]=>[2,5,6,7,3,4,8,1]
[5,7,8,6,1,2,4,3]=>[6,1,4,2,5,8,7,3]
[6,4,7,8,3,1,2,5]=>[3,1,8,6,2,4,7,5]
[7,3,4,8,2,1,5,6]=>[2,8,7,3,1,5,4,6]
[7,6,4,8,3,2,1,5]=>[2,3,8,6,1,7,4,5]
[7,5,8,6,2,1,4,3]=>[2,6,4,1,8,7,3,5]
[6,5,8,7,3,1,4,2]=>[3,7,4,2,6,5,8,1]
[2,4,8,3,1,5,7,6]=>[3,2,8,4,1,7,5,6]
[6,3,2,4,8,1,5,7]=>[8,3,6,2,1,4,5,7]
[2,3,8,4,1,6,7,5]=>[4,2,3,8,7,1,6,5]
[2,3,8,5,1,6,7,4]=>[5,2,3,8,7,4,6,1]
[6,4,8,7,3,1,5,2]=>[3,7,5,6,2,4,8,1]
[8,6,4,7,3,2,5,1]=>[5,3,7,6,2,8,4,1]
[8,3,4,7,2,5,6,1]=>[6,7,8,3,2,5,4,1]
[3,4,8,7,1,5,6,2]=>[7,6,3,4,1,5,8,2]
[2,4,8,6,1,5,7,3]=>[6,2,8,4,3,7,5,1]
[2,5,8,6,1,4,7,3]=>[6,2,8,3,5,7,4,1]
[8,3,5,7,2,4,6,1]=>[6,7,8,2,3,4,5,1]
[8,4,6,7,2,3,5,1]=>[5,7,2,8,3,4,6,1]
[4,6,8,7,1,3,5,2]=>[7,5,1,4,3,6,8,2]
[2,6,8,5,1,3,7,4]=>[5,2,1,8,7,6,4,3]
[2,6,8,4,1,3,7,5]=>[4,2,1,8,7,6,3,5]
[2,5,8,3,1,4,7,6]=>[3,2,8,1,5,7,4,6]
[5,6,8,7,1,3,4,2]=>[7,4,1,3,5,6,8,2]
[7,4,6,8,2,1,3,5]=>[2,8,1,7,3,4,6,5]
[2,3,5,4,1,8,6,7]=>[4,2,3,5,1,8,6,7]
[2,3,6,4,8,1,5,7]=>[8,2,3,6,1,4,5,7]
[1,8,4,6,3,5,2,7]=>[1,5,6,8,3,4,2,7]
[5,4,8,6,2,1,3,7]=>[2,6,1,5,4,8,3,7]
[2,3,6,8,1,5,4,7]=>[8,2,3,5,1,6,4,7]
[2,5,6,1,4,7,8,3]=>[6,2,8,1,5,4,7,3]
[2,5,6,1,4,7,3,8]=>[6,2,7,1,5,4,3,8]
[7,3,5,1,6,8,4,2]=>[5,4,8,7,2,1,6,3]
[2,7,6,1,8,5,4,3]=>[6,2,4,5,7,8,3,1]
[2,7,6,8,1,4,5,3]=>[8,2,5,1,4,7,6,3]
[1,8,7,6,3,2,5,4]=>[1,3,6,5,2,7,8,4]
[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]
[5,7,8,6,2,3,4,1]=>[4,6,2,3,5,8,7,1]
[2,7,6,1,8,5,3,4]=>[6,2,5,1,7,8,3,4]
[6,3,5,1,7,2,4,8]=>[5,7,6,2,3,1,4,8]
[2,3,4,7,6,1,5,8]=>[6,2,3,4,1,7,5,8]
[7,3,5,8,4,1,2,6]=>[4,1,8,7,2,3,5,6]
[1,8,4,5,2,7,3,6]=>[1,5,7,8,4,3,2,6]
[1,8,4,5,2,7,6,3]=>[1,5,6,7,3,8,2,4]
[7,3,5,8,4,1,6,2]=>[4,8,6,7,1,2,5,3]
[2,7,6,4,8,5,1,3]=>[5,2,1,8,6,7,3,4]
[7,3,5,4,6,8,1,2]=>[8,1,7,5,3,4,6,2]
[6,3,5,4,7,1,8,2]=>[7,8,6,5,3,4,1,2]
[6,3,5,4,7,1,2,8]=>[7,1,6,5,3,4,2,8]
[3,4,1,5,6,8,7,2]=>[4,7,3,1,5,6,8,2]
[3,7,1,6,8,5,2,4]=>[7,5,3,2,8,1,6,4]
[2,3,1,8,6,4,7,5]=>[3,2,1,6,8,7,5,4]
[1,8,4,3,6,2,5,7]=>[1,6,4,8,2,3,5,7]
[2,3,1,8,6,4,5,7]=>[3,2,1,6,4,8,5,7]
[3,7,1,6,8,5,4,2]=>[7,4,3,5,8,1,6,2]
[6,3,5,4,7,2,1,8]=>[2,7,6,5,3,4,1,8]
[7,3,5,4,6,8,2,1]=>[2,8,7,5,3,4,6,1]
[2,7,6,4,8,5,3,1]=>[3,2,5,8,6,7,1,4]
[1,8,4,5,2,6,3,7]=>[1,5,6,8,4,2,3,7]
[6,4,8,5,3,1,2,7]=>[3,1,5,8,6,2,4,7]
[7,3,5,8,4,6,2,1]=>[2,6,7,8,3,4,5,1]
[2,3,4,6,5,8,1,7]=>[8,2,3,4,6,5,1,7]
[2,3,4,7,5,1,8,6]=>[5,2,3,4,7,8,1,6]
[2,3,4,7,5,1,6,8]=>[5,2,3,4,7,1,6,8]
[2,3,4,7,1,6,5,8]=>[7,2,3,4,6,1,5,8]
[2,3,4,7,1,6,8,5]=>[7,2,3,4,8,1,6,5]
[2,3,4,6,1,8,7,5]=>[6,2,3,4,7,1,8,5]
[6,3,5,8,4,2,7,1]=>[7,4,8,6,2,5,3,1]
[7,4,8,5,3,2,1,6]=>[2,3,5,8,7,4,1,6]
[1,8,4,5,2,3,6,7]=>[1,5,2,8,4,3,6,7]
[7,4,8,5,3,2,6,1]=>[6,3,5,8,7,4,2,1]
[6,3,5,8,4,2,1,7]=>[2,4,8,6,1,5,3,7]
[5,2,4,6,8,3,7,1]=>[7,5,8,2,4,6,3,1]
[1,5,7,4,6,3,2,8]=>[1,3,6,7,5,4,2,8]
[5,2,8,4,6,3,7,1]=>[7,5,6,8,2,4,3,1]
[3,8,5,4,6,7,2,1]=>[2,7,3,5,8,4,6,1]
[6,8,3,4,5,7,2,1]=>[2,7,8,3,4,6,5,1]
[2,5,7,4,6,3,8,1]=>[8,2,6,7,5,4,3,1]
[5,4,1,7,8,3,2,6]=>[4,3,5,8,2,1,7,6]
[5,4,2,7,8,3,6,1]=>[6,4,5,8,3,2,7,1]
[5,1,4,6,8,3,2,7]=>[5,3,8,1,4,6,2,7]
[5,1,8,4,6,3,2,7]=>[5,3,6,8,1,4,2,7]
[8,1,6,4,5,3,2,7]=>[8,3,5,6,4,1,2,7]
[8,1,3,5,4,6,2,7]=>[8,6,1,5,3,4,2,7]
[8,1,6,2,4,3,5,7]=>[8,6,4,2,3,1,5,7]
[8,7,1,2,4,3,5,6]=>[7,1,4,2,3,5,8,6]
[1,7,6,2,4,3,5,8]=>[1,6,4,2,3,7,5,8]
[8,7,3,2,4,6,5,1]=>[5,3,6,1,7,4,8,2]
[8,2,6,3,4,5,7,1]=>[7,8,6,3,4,2,5,1]
[1,7,6,3,4,5,2,8]=>[1,5,6,3,4,7,2,8]
[1,7,2,5,4,3,6,8]=>[1,7,4,5,2,3,6,8]
[8,7,2,4,5,3,6,1]=>[6,7,5,2,4,3,8,1]
[5,8,2,4,7,3,6,1]=>[6,8,7,2,5,3,4,1]
[6,8,3,2,4,7,5,1]=>[5,3,7,1,8,6,4,2]
[8,7,1,3,4,5,2,6]=>[7,5,1,3,4,2,8,6]
[8,1,6,3,4,5,2,7]=>[8,5,6,3,4,1,2,7]
[8,1,2,5,4,3,6,7]=>[8,1,4,5,2,3,6,7]
[3,4,8,7,5,2,6,1]=>[6,5,3,4,7,2,8,1]
[3,2,8,6,1,5,4,7]=>[6,3,2,5,1,8,4,7]
[8,6,1,2,4,3,5,7]=>[6,1,4,2,3,8,5,7]
[8,7,3,6,4,2,5,1]=>[5,4,6,7,3,2,8,1]
[3,8,7,2,5,4,6,1]=>[6,7,3,5,2,4,8,1]
[8,7,2,4,5,6,3,1]=>[3,6,7,1,4,5,8,2]
[5,3,6,2,4,8,7,1]=>[7,6,5,2,3,4,8,1]
[3,5,2,8,6,1,4,7]=>[6,5,3,1,2,8,4,7]
[3,7,2,5,1,4,8,6]=>[5,7,3,1,2,8,4,6]
[5,1,8,6,2,3,4,7]=>[5,6,2,3,1,8,4,7]
[2,5,4,1,8,6,3,7]=>[4,2,5,6,3,8,1,7]
[3,7,6,1,8,2,5,4]=>[6,7,3,5,1,8,2,4]
[7,6,3,1,8,2,4,5]=>[3,6,7,2,4,8,1,5]
[8,2,3,6,1,4,7,5]=>[6,8,2,1,7,3,4,5]
[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]
[8,1,3,6,4,7,2,5]=>[8,7,1,6,2,3,4,5]
[7,1,3,6,4,8,2,5]=>[7,8,1,6,2,3,4,5]
[8,2,1,3,5,7,4,6]=>[2,8,1,7,3,4,5,6]
[8,2,6,3,1,4,7,5]=>[3,6,8,2,7,1,4,5]
[7,5,4,1,3,8,2,6]=>[4,5,1,7,8,2,3,6]
[2,7,5,8,3,4,1,6]=>[4,2,8,3,7,1,5,6]
[7,3,8,5,4,1,2,6]=>[4,1,5,8,7,2,3,6]
[7,2,3,6,1,4,8,5]=>[6,7,2,1,8,3,4,5]
[1,3,7,2,5,8,4,6]=>[1,7,3,8,2,4,5,6]
[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]
[7,4,8,1,3,6,2,5]=>[8,6,1,7,2,3,4,5]
[8,1,2,3,5,7,4,6]=>[8,1,2,7,3,4,5,6]
[7,1,2,3,5,8,4,6]=>[7,1,2,8,3,4,5,6]
[8,6,1,4,7,3,2,5]=>[6,3,8,2,1,7,4,5]
[2,6,3,7,1,4,8,5]=>[7,2,6,1,8,3,4,5]
[2,6,3,8,1,4,7,5]=>[8,2,6,1,7,3,4,5]
[7,5,4,8,1,3,2,6]=>[8,3,1,5,7,2,4,6]
[8,5,4,7,1,3,2,6]=>[7,3,1,5,8,2,4,6]
[2,3,1,8,5,4,6,7]=>[3,2,1,5,8,4,6,7]
[8,6,5,1,3,4,2,7]=>[5,4,1,3,6,8,2,7]
[8,5,1,7,6,3,4,2]=>[5,4,8,1,6,7,3,2]
[3,4,7,6,1,8,5,2]=>[6,5,3,4,7,8,2,1]
[3,5,2,6,7,1,8,4]=>[7,5,3,8,2,6,1,4]
[3,2,8,4,7,5,1,6]=>[5,3,2,7,8,4,1,6]
[8,4,7,5,1,3,2,6]=>[5,3,1,7,8,4,2,6]
[3,8,1,6,5,2,7,4]=>[8,5,3,6,7,1,4,2]
[6,1,2,8,3,4,7,5]=>[6,1,8,3,7,2,4,5]
[6,8,3,1,7,2,4,5]=>[3,8,7,1,4,6,2,5]
[3,7,2,5,6,1,8,4]=>[6,7,3,8,2,5,1,4]
[6,8,4,2,5,1,7,3]=>[5,4,8,7,3,6,1,2]
[2,7,5,3,8,4,1,6]=>[4,2,8,5,7,3,1,6]
[8,3,1,4,7,2,6,5]=>[3,8,7,2,6,1,4,5]
[8,3,2,1,5,7,4,6]=>[2,3,8,7,1,4,5,6]
[2,8,3,6,4,7,1,5]=>[7,2,8,6,1,3,4,5]
[7,3,6,4,8,1,2,5]=>[8,1,7,6,2,3,4,5]
[8,3,6,4,7,1,2,5]=>[7,1,8,6,2,3,4,5]
[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]
[1,8,3,2,5,7,4,6]=>[1,3,8,7,2,4,5,6]
[6,5,1,7,4,2,8,3]=>[5,4,6,7,8,3,2,1]
[7,3,6,4,8,2,1,5]=>[2,8,7,6,1,3,4,5]
[4,6,1,7,3,5,2,8]=>[6,5,7,4,3,1,2,8]
[5,6,1,7,3,4,2,8]=>[6,4,7,3,5,1,2,8]
[6,1,7,3,4,2,8,5]=>[6,4,7,3,8,1,2,5]
[7,3,8,1,6,5,2,4]=>[8,5,6,3,7,1,2,4]
[8,3,7,1,6,5,2,4]=>[7,5,6,3,8,1,2,4]
[5,1,7,4,2,8,6,3]=>[5,4,7,6,1,8,3,2]
[2,8,1,7,6,5,3,4]=>[8,2,5,3,6,7,1,4]
[4,2,8,6,5,1,7,3]=>[5,4,6,2,8,7,1,3]
[6,4,2,8,5,1,7,3]=>[5,4,8,6,7,2,3,1]
[8,6,4,7,1,5,2,3]=>[7,5,2,6,1,8,4,3]
[7,6,4,8,1,5,2,3]=>[8,5,2,6,1,7,4,3]
[5,1,6,4,2,3,8,7]=>[5,4,2,6,1,3,8,7]
[4,2,3,8,7,5,1,6]=>[5,4,2,3,7,1,8,6]
[3,8,7,1,6,5,2,4]=>[7,5,3,2,6,1,8,4]
[2,4,3,8,1,6,7,5]=>[8,2,4,3,7,1,6,5]
[2,4,3,7,1,6,8,5]=>[7,2,4,3,8,1,6,5]
[4,2,3,7,8,5,1,6]=>[5,4,2,3,8,1,7,6]
[5,1,6,4,2,3,7,8]=>[5,4,2,6,1,3,7,8]
[6,4,7,8,1,5,2,3]=>[8,5,2,6,1,4,7,3]
[8,7,4,6,1,5,2,3]=>[6,5,2,7,1,4,8,3]
[6,5,7,8,1,4,2,3]=>[8,4,2,1,6,5,7,3]
[4,7,8,6,1,5,2,3]=>[6,5,2,4,1,8,7,3]
[3,2,4,7,8,1,5,6]=>[8,3,2,4,1,5,7,6]
[3,2,4,8,7,1,5,6]=>[7,3,2,4,1,5,8,6]
[4,8,7,6,1,5,2,3]=>[6,5,2,4,1,7,8,3]
[5,8,7,6,1,4,2,3]=>[6,4,2,1,5,7,8,3]
[8,6,5,7,1,4,2,3]=>[7,4,2,1,6,8,5,3]
[5,1,6,7,4,2,3,8]=>[5,4,2,7,1,6,3,8]
[6,7,4,8,1,5,2,3]=>[8,5,2,7,1,6,4,3]
[8,4,7,6,1,5,2,3]=>[6,5,2,7,4,8,1,3]
[8,3,2,4,7,1,5,6]=>[7,3,8,2,1,5,4,6]
[7,3,2,4,8,1,5,6]=>[8,3,7,2,1,5,4,6]
[2,5,3,7,1,6,4,8]=>[7,2,5,6,3,1,4,8]
[8,4,6,7,1,5,2,3]=>[7,5,2,8,1,4,6,3]
[7,4,6,8,1,5,2,3]=>[8,5,2,7,1,4,6,3]
[5,1,6,8,4,2,3,7]=>[5,4,2,8,1,6,3,7]
[4,2,3,7,5,1,6,8]=>[5,4,2,3,7,1,6,8]
[3,7,5,8,1,6,2,4]=>[8,6,3,2,7,1,5,4]
[2,4,3,7,1,6,5,8]=>[7,2,4,3,6,1,5,8]
[2,4,7,1,5,8,6,3]=>[7,2,6,4,1,8,5,3]
[3,2,4,7,6,1,5,8]=>[6,3,2,4,1,7,5,8]
[4,7,6,8,1,5,2,3]=>[8,5,2,4,1,7,6,3]
[8,5,6,7,1,4,2,3]=>[7,4,2,1,8,5,6,3]
[8,6,7,5,1,4,2,3]=>[5,4,2,1,7,8,6,3]
[7,6,8,5,1,4,2,3]=>[5,4,2,1,8,7,6,3]
[6,8,7,5,1,4,2,3]=>[5,4,2,1,7,6,8,3]
[5,6,8,7,1,4,2,3]=>[7,4,2,1,5,6,8,3]
[4,6,8,7,1,5,2,3]=>[7,5,2,4,1,6,8,3]
[2,4,6,7,1,5,8,3]=>[7,2,8,4,1,6,5,3]
[3,2,4,6,1,5,7,8]=>[6,3,2,4,1,5,7,8]
[6,7,8,5,1,4,2,3]=>[5,4,2,1,8,6,7,3]
[7,8,6,5,1,4,2,3]=>[5,4,2,1,6,8,7,3]
[3,1,7,5,4,2,8,6]=>[3,4,1,5,7,8,2,6]
[2,1,8,5,4,6,3,7]=>[2,1,6,5,8,4,3,7]
[4,1,8,5,2,3,6,7]=>[4,5,2,1,8,3,6,7]
[5,4,1,3,6,7,2,8]=>[4,5,2,7,3,6,1,8]
[8,4,1,2,6,3,7,5]=>[4,1,8,6,7,3,2,5]
[8,2,7,1,5,3,4,6]=>[7,8,5,3,1,4,2,6]
[3,2,7,1,5,8,4,6]=>[7,3,2,8,1,4,5,6]
[6,3,7,1,5,4,2,8]=>[7,4,5,6,1,2,3,8]
[7,3,8,1,5,4,2,6]=>[8,4,5,7,1,3,2,6]
[7,1,5,3,8,4,2,6]=>[7,4,8,5,1,3,2,6]
[4,5,1,3,6,8,2,7]=>[5,8,1,4,3,6,2,7]
[3,6,8,1,5,4,2,7]=>[8,4,3,5,1,6,2,7]
[6,8,3,1,5,4,2,7]=>[3,8,4,5,2,6,1,7]
[7,6,3,1,5,4,2,8]=>[3,6,4,5,2,7,1,8]
[3,6,2,1,5,8,4,7]=>[2,6,3,8,1,5,4,7]
[8,6,2,1,5,3,4,7]=>[2,6,5,3,1,8,4,7]
[4,8,2,1,7,5,3,6]=>[2,8,5,4,7,3,1,6]
[2,3,8,1,5,7,4,6]=>[8,2,3,7,1,4,5,6]
[7,1,3,2,8,6,4,5]=>[7,3,1,6,4,8,2,5]
[7,1,6,2,8,3,4,5]=>[7,6,8,3,4,1,2,5]
[4,7,1,2,6,3,8,5]=>[7,1,6,4,8,2,3,5]
[2,7,8,1,5,3,4,6]=>[8,2,5,3,1,4,7,6]
[6,7,2,1,5,3,4,8]=>[2,7,5,3,1,6,4,8]
[4,7,2,1,8,5,3,6]=>[2,7,5,4,8,3,1,6]
[8,7,2,1,4,5,3,6]=>[2,7,5,1,4,3,8,6]
[8,7,5,6,1,4,3,2]=>[6,3,4,1,7,5,8,2]
[5,7,8,6,1,4,3,2]=>[6,3,4,1,5,8,7,2]
[2,7,4,1,6,5,3,8]=>[4,2,7,5,6,3,1,8]
[3,7,1,4,5,6,8,2]=>[7,8,3,1,4,5,6,2]
[7,1,6,4,5,8,3,2]=>[7,3,8,6,4,1,5,2]
[3,5,1,4,7,6,8,2]=>[5,8,3,1,4,7,6,2]
[2,6,4,1,7,5,3,8]=>[4,2,6,5,7,3,1,8]
[5,6,8,7,1,4,3,2]=>[7,3,4,1,5,6,8,2]
[6,8,5,7,1,4,3,2]=>[7,3,4,1,8,6,5,2]
[8,6,5,7,1,4,3,2]=>[7,3,4,1,6,8,5,2]
[8,5,7,6,1,4,3,2]=>[6,3,4,1,7,8,2,5]
[6,5,7,8,1,4,3,2]=>[8,3,4,1,6,5,7,2]
[7,2,3,1,5,6,4,8]=>[3,7,2,6,1,5,4,8]
[4,2,8,1,6,5,3,7]=>[8,4,5,2,6,1,3,7]
[6,2,4,1,8,5,3,7]=>[4,6,5,2,8,1,3,7]
[8,3,1,4,5,6,7,2]=>[3,8,7,2,4,5,6,1]
[5,3,1,4,8,6,7,2]=>[3,5,7,2,4,8,6,1]
[7,5,1,6,3,4,8,2]=>[5,7,8,1,6,2,4,3]
[7,1,5,8,4,3,6,2]=>[7,6,4,8,1,3,5,2]
[5,8,1,6,4,3,7,2]=>[8,7,4,6,5,1,3,2]
[5,3,1,8,4,6,7,2]=>[3,5,7,8,2,4,6,1]
[8,3,1,5,4,6,7,2]=>[3,8,7,5,2,4,6,1]
[8,2,6,1,4,5,3,7]=>[6,8,5,1,4,2,3,7]
[6,2,8,1,4,5,3,7]=>[8,6,5,1,4,2,3,7]
[7,2,6,1,5,3,4,8]=>[6,7,5,3,1,2,4,8]
[2,8,6,1,5,3,4,7]=>[6,2,5,3,1,8,4,7]
[4,2,1,5,6,3,8,7]=>[2,4,6,1,5,3,8,7]
[7,1,2,5,8,3,4,6]=>[7,1,8,3,2,4,5,6]
[7,1,4,5,6,8,3,2]=>[7,3,8,1,4,5,6,2]
[8,5,6,7,1,4,3,2]=>[7,3,4,1,8,5,6,2]
[7,6,8,5,1,4,3,2]=>[5,3,4,1,8,7,6,2]
[6,8,7,5,1,4,3,2]=>[5,3,4,1,7,6,8,2]
[2,6,7,1,4,5,3,8]=>[7,2,5,1,4,6,3,8]
[3,5,1,7,4,6,8,2]=>[5,8,3,7,1,4,6,2]
[7,1,5,6,4,8,3,2]=>[7,3,8,6,1,5,4,2]
[7,1,6,5,4,8,3,2]=>[7,3,8,5,6,1,4,2]
[2,7,6,1,4,5,3,8]=>[6,2,5,1,4,7,3,8]
[5,7,6,8,1,4,3,2]=>[8,3,4,1,5,7,6,2]
[7,8,6,5,1,4,3,2]=>[5,3,4,1,6,8,7,2]
[4,3,1,6,5,8,7,2]=>[3,4,7,2,6,5,8,1]
[5,3,1,2,4,8,7,6]=>[3,1,5,2,4,7,8,6]
[5,3,6,2,1,8,7,4]=>[2,6,5,7,3,1,8,4]
[5,3,7,2,1,4,6,8]=>[2,7,5,1,3,4,6,8]
[5,3,7,2,8,4,1,6]=>[4,8,7,5,1,2,3,6]
[7,2,4,5,8,3,1,6]=>[3,8,7,1,4,2,5,6]
[7,2,4,5,1,3,6,8]=>[5,7,1,2,4,3,6,8]
[6,2,4,5,1,8,7,3]=>[5,6,7,2,4,1,8,3]
[3,1,4,5,2,8,7,6]=>[3,5,1,4,2,7,8,6]
[1,6,4,5,2,8,7,3]=>[1,5,7,6,4,2,8,3]
[3,7,4,5,1,2,6,8]=>[5,1,3,7,4,2,6,8]
[3,7,4,5,8,2,1,6]=>[2,8,3,7,4,1,5,6]
[1,7,4,2,6,3,5,8]=>[1,4,7,6,2,3,5,8]
[8,7,4,5,2,1,6,3]=>[2,5,6,7,4,1,8,3]
[6,3,7,1,8,4,2,5]=>[7,4,8,6,3,2,1,5]
[5,7,4,1,6,3,2,8]=>[4,3,7,6,5,2,1,8]
[1,7,4,8,6,3,2,5]=>[1,3,6,8,4,7,2,5]
[5,7,4,8,6,3,1,2]=>[3,1,6,8,5,7,2,4]
[4,8,3,5,6,7,1,2]=>[7,1,8,4,3,5,6,2]
[1,8,3,5,6,7,2,4]=>[1,7,8,2,3,5,6,4]
[4,8,1,5,6,7,2,3]=>[8,7,2,4,1,5,6,3]
[4,1,3,5,6,7,2,8]=>[4,7,1,3,5,6,2,8]
[5,8,4,3,6,1,2,7]=>[6,1,4,8,5,3,2,7]
[5,3,8,4,1,7,2,6]=>[4,8,7,5,1,3,2,6]
[1,5,8,4,6,7,3,2]=>[1,3,7,8,5,4,6,2]
[1,4,8,3,6,7,5,2]=>[1,5,7,4,8,2,6,3]
[4,3,8,2,1,7,5,6]=>[2,8,4,3,7,5,1,6]
[3,8,4,2,6,1,5,7]=>[6,4,3,8,1,2,5,7]
[1,8,2,5,6,7,4,3]=>[1,8,4,7,2,5,6,3]
[3,8,1,5,6,7,4,2]=>[8,4,3,7,1,5,6,2]
[3,8,2,5,6,7,1,4]=>[7,8,3,1,2,5,6,4]
[8,2,1,5,6,7,4,3]=>[2,8,4,7,1,5,6,3]
[8,1,3,5,6,7,4,2]=>[8,4,1,7,3,5,6,2]
[7,1,4,3,6,2,5,8]=>[7,6,4,1,2,3,5,8]
[7,8,4,3,6,2,1,5]=>[2,6,4,8,1,3,7,5]
[4,3,1,8,5,7,6,2]=>[3,4,6,2,7,8,1,5]
[4,3,1,6,8,7,5,2]=>[3,4,5,2,7,6,8,1]
[6,3,1,8,2,7,4,5]=>[3,6,8,7,4,2,1,5]
[6,3,5,8,2,7,1,4]=>[7,8,6,1,3,5,2,4]
[7,5,4,8,6,2,1,3]=>[2,6,1,5,8,7,3,4]
[7,1,4,8,6,2,3,5]=>[7,6,2,1,3,8,4,5]
[7,5,4,1,6,2,3,8]=>[4,5,2,7,6,1,3,8]
[7,6,4,5,8,1,3,2]=>[8,3,1,6,4,7,5,2]
[1,6,4,5,8,2,3,7]=>[1,8,2,6,4,5,3,7]
[7,3,6,1,8,2,4,5]=>[6,8,7,2,4,3,1,5]
[1,7,6,5,8,3,4,2]=>[1,4,8,3,6,7,5,2]
[1,8,5,3,6,7,4,2]=>[1,4,7,5,8,2,6,3]
[8,3,5,2,1,7,4,6]=>[2,5,8,7,3,4,1,6]
[8,4,1,5,6,7,3,2]=>[4,3,8,7,2,5,6,1]
[8,4,2,5,6,7,1,3]=>[7,4,1,8,2,5,6,3]
[4,1,8,5,6,7,3,2]=>[4,3,7,1,8,5,6,2]
[1,2,8,5,6,7,3,4]=>[1,2,7,3,8,5,6,4]
[4,2,1,5,6,7,3,8]=>[2,4,7,1,5,6,3,8]
[1,5,3,8,6,7,4,2]=>[1,4,7,5,2,8,6,3]
[1,4,5,8,6,7,3,2]=>[1,3,7,4,5,8,6,2]
[4,3,5,8,1,7,2,6]=>[8,7,4,3,5,2,1,6]
[3,5,4,8,6,1,2,7]=>[6,1,3,5,4,8,2,7]
[1,4,8,5,6,7,2,3]=>[1,7,2,4,8,5,6,3]
[3,4,8,5,6,7,1,2]=>[7,1,3,4,8,5,6,2]
[2,7,1,5,6,3,4,8]=>[7,2,6,3,1,5,4,8]
[2,7,1,4,3,6,5,8]=>[7,2,4,1,6,3,5,8]
[4,3,7,2,5,6,8,1]=>[8,7,4,3,2,5,6,1]
[2,6,3,1,4,5,8,7]=>[3,2,6,1,4,5,8,7]
[3,7,1,4,2,6,8,5]=>[7,4,3,1,8,2,6,5]
[3,7,1,5,6,2,8,4]=>[7,6,3,8,1,5,2,4]
[4,7,1,5,6,8,2,3]=>[7,8,2,4,1,5,6,3]
[8,5,2,6,7,3,1,4]=>[3,7,5,2,8,1,6,4]
[8,4,2,6,3,7,1,5]=>[7,4,8,6,1,3,2,5]
[8,4,2,3,5,7,1,6]=>[7,4,2,8,3,1,5,6]
[4,7,3,2,5,6,1,8]=>[6,3,7,4,2,5,1,8]
[5,3,4,6,2,8,1,7]=>[8,6,5,3,4,2,1,7]
[5,3,7,4,2,8,1,6]=>[8,4,7,5,2,1,3,6]
[6,4,7,2,3,8,1,5]=>[8,7,2,6,1,4,3,5]
[6,5,7,2,8,3,1,4]=>[3,8,7,2,6,5,1,4]
[5,3,7,2,4,8,6,1]=>[6,8,5,1,3,7,4,2]
[2,6,5,1,8,3,4,7]=>[5,2,6,1,8,3,4,7]
[8,7,6,1,4,5,2,3]=>[6,5,2,1,4,7,8,3]
[8,7,6,1,3,2,5,4]=>[6,3,1,5,2,7,8,4]
[8,7,2,4,3,1,6,5]=>[3,4,7,1,6,2,8,5]
[8,7,4,5,1,6,2,3]=>[5,6,2,7,4,1,8,3]
[8,5,6,4,1,7,2,3]=>[4,6,1,7,8,5,2,3]
[8,5,6,3,1,2,7,4]=>[3,1,6,7,8,5,2,4]
[8,4,6,2,3,1,7,5]=>[3,6,2,8,7,4,1,5]
[8,3,5,4,2,1,7,6]=>[2,4,5,8,1,7,3,6]
[5,7,3,4,2,1,8,6]=>[2,4,7,3,5,8,1,6]
[6,7,4,2,3,1,8,5]=>[3,4,2,7,8,6,1,5]
[6,7,5,3,1,2,8,4]=>[3,1,5,7,8,6,4,2]
[6,7,5,4,1,8,2,3]=>[4,5,2,7,8,6,1,3]
[6,2,4,3,8,7,5,1]=>[5,7,4,1,6,3,8,2]
[7,3,5,4,1,8,6,2]=>[4,5,6,8,3,7,2,1]
[5,2,7,1,3,4,8,6]=>[7,5,1,3,2,8,4,6]
[2,6,5,7,3,1,4,8]=>[3,2,7,1,6,5,4,8]
[2,6,5,7,3,1,8,4]=>[3,2,7,8,6,5,1,4]
[6,3,1,4,7,8,5,2]=>[3,6,5,2,8,4,7,1]
[6,8,2,1,3,4,5,7]=>[2,8,1,3,4,6,5,7]
[3,7,1,8,4,5,2,6]=>[7,5,3,8,4,2,1,6]
[6,3,2,4,7,5,8,1]=>[8,3,6,2,7,4,5,1]
[6,3,2,4,7,5,1,8]=>[5,3,7,1,6,4,2,8]
[4,2,1,6,3,7,5,8]=>[2,4,6,1,7,3,5,8]
[4,2,1,6,3,7,8,5]=>[2,4,6,1,8,3,7,5]
[7,4,3,5,8,6,1,2]=>[6,1,4,8,2,7,5,3]
[2,7,6,8,3,1,4,5]=>[3,2,8,1,4,7,6,5]
[7,4,3,5,8,6,2,1]=>[2,6,4,8,1,7,5,3]
[4,2,1,7,3,8,6,5]=>[2,4,7,1,6,8,3,5]
[4,2,1,3,7,8,6,5]=>[2,4,1,3,6,8,7,5]
[5,8,1,7,4,3,6,2]=>[8,6,4,7,5,3,1,2]
[5,8,1,7,4,3,2,6]=>[8,3,4,7,5,2,1,6]
[3,7,8,6,2,1,4,5]=>[2,6,3,1,4,8,7,5]
[4,2,1,8,3,5,6,7]=>[2,4,8,1,3,5,6,7]
[4,2,1,3,6,7,5,8]=>[2,4,1,3,7,6,5,8]
[4,2,1,3,7,5,6,8]=>[2,4,1,3,7,5,6,8]
[4,2,1,3,6,8,7,5]=>[2,4,1,3,7,6,8,5]
[7,3,2,4,8,6,5,1]=>[5,3,6,2,8,7,4,1]
[4,2,1,6,3,8,7,5]=>[2,4,6,1,7,3,8,5]
[4,2,1,7,3,5,6,8]=>[2,4,7,1,3,5,6,8]
[3,6,7,5,2,1,4,8]=>[2,5,3,1,7,6,4,8]
[3,6,7,5,2,1,8,4]=>[2,5,3,7,8,6,4,1]
[7,3,4,2,6,8,5,1]=>[5,4,8,1,7,2,6,3]
[4,8,6,2,7,3,5,1]=>[5,6,8,4,2,7,3,1]
[7,3,4,2,6,8,1,5]=>[8,4,7,3,1,2,6,5]
[3,6,7,5,2,4,8,1]=>[8,5,3,2,7,6,4,1]
[3,6,7,5,2,4,1,8]=>[4,5,3,2,7,6,1,8]
[4,2,1,7,3,6,5,8]=>[2,4,7,1,6,3,5,8]
[4,2,1,7,3,6,8,5]=>[2,4,7,1,8,3,6,5]
[3,7,6,8,4,2,5,1]=>[5,4,3,8,2,7,6,1]
[5,8,1,7,4,2,6,3]=>[8,4,7,6,5,3,1,2]
[3,7,8,6,2,4,5,1]=>[5,6,3,2,4,8,7,1]
[4,2,1,3,8,6,7,5]=>[2,4,1,3,7,8,6,5]
[4,2,1,3,7,6,5,8]=>[2,4,1,3,6,7,5,8]
[4,2,1,3,5,7,6,8]=>[2,4,1,3,5,7,6,8]
[4,2,1,3,5,8,6,7]=>[2,4,1,3,5,8,6,7]
[4,8,1,7,3,6,5,2]=>[8,5,6,4,7,2,1,3]
[4,7,8,6,3,5,2,1]=>[2,5,6,4,3,8,7,1]
[4,2,1,8,3,7,6,5]=>[2,4,8,1,6,7,3,5]
[4,2,1,3,5,6,8,7]=>[2,4,1,3,5,6,8,7]
[7,8,2,4,1,3,6,5]=>[4,8,1,2,6,3,7,5]
[2,6,1,5,4,7,8,3]=>[6,2,8,5,1,4,7,3]
[4,6,3,5,8,7,1,2]=>[7,1,6,4,3,5,8,2]
[3,5,6,1,4,8,7,2]=>[6,7,3,1,5,4,8,2]
[2,3,6,8,4,1,5,7]=>[4,2,3,8,1,6,5,7]
[2,7,5,1,8,3,4,6]=>[5,2,7,1,8,4,3,6]
[4,7,5,2,1,3,6,8]=>[2,5,1,4,7,3,6,8]
[3,5,6,2,4,1,7,8]=>[4,6,3,2,5,1,7,8]
[2,5,6,1,4,8,3,7]=>[6,2,8,1,5,4,3,7]
[6,7,8,4,1,5,3,2]=>[4,3,8,5,2,6,7,1]
[7,1,6,8,4,5,3,2]=>[7,3,5,8,4,1,6,2]
[7,4,6,5,2,8,1,3]=>[8,5,1,6,7,2,4,3]
[7,1,5,6,4,2,3,8]=>[7,4,2,6,1,5,3,8]
[5,7,4,6,8,1,3,2]=>[8,3,1,7,5,4,6,2]
[5,7,8,1,4,6,3,2]=>[8,3,6,1,5,4,7,2]
[8,1,5,7,4,6,3,2]=>[8,3,6,7,1,4,5,2]
[1,8,4,6,7,5,3,2]=>[1,3,5,7,8,2,6,4]
[6,1,8,4,7,5,3,2]=>[6,3,5,7,8,1,2,4]
[4,5,8,6,1,7,3,2]=>[6,3,8,4,5,7,2,1]
[4,8,5,1,6,7,3,2]=>[5,3,8,4,7,2,6,1]
[8,1,4,5,6,7,3,2]=>[8,3,7,1,4,5,6,2]
[5,6,7,1,4,2,3,8]=>[7,4,2,1,5,6,3,8]
[8,4,2,6,1,5,7,3]=>[6,4,8,7,1,3,5,2]
[4,8,5,2,1,6,7,3]=>[2,5,8,4,7,3,6,1]
[5,1,8,4,2,6,3,7]=>[5,4,8,6,1,3,2,7]
[1,8,4,6,2,5,3,7]=>[1,6,5,8,2,4,3,7]
[6,1,5,2,3,4,7,8]=>[6,5,2,3,1,4,7,8]
[8,3,1,4,6,2,5,7]=>[3,8,6,2,1,4,5,7]
[3,1,8,2,5,6,4,7]=>[3,8,1,6,2,5,4,7]
[3,5,1,8,2,6,4,7]=>[5,8,3,6,1,2,4,7]
[3,5,1,2,8,4,7,6]=>[5,1,3,8,2,7,4,6]
[2,3,5,8,6,1,7,4]=>[6,2,3,8,5,7,4,1]
[8,2,4,3,6,7,1,5]=>[7,8,4,2,1,3,6,5]
[3,2,8,5,7,1,6,4]=>[7,3,2,6,8,1,5,4]
[3,6,2,8,5,1,7,4]=>[5,8,3,6,7,4,2,1]
[6,2,1,8,4,7,5,3]=>[2,6,5,7,8,1,3,4]
[2,8,7,1,4,6,5,3]=>[7,2,5,1,6,4,8,3]
[8,2,7,1,5,4,6,3]=>[7,8,6,5,1,4,2,3]
[7,2,5,3,6,8,1,4]=>[8,7,5,1,2,3,6,4]
[7,3,1,5,6,2,4,8]=>[3,7,6,1,2,5,4,8]
[3,7,5,1,6,2,4,8]=>[5,7,3,1,6,2,4,8]
[2,7,3,6,5,8,1,4]=>[8,2,7,1,6,3,5,4]
[8,7,2,4,1,6,5,3]=>[4,7,5,2,6,1,8,3]
[1,8,7,2,3,6,5,4]=>[1,7,2,5,6,3,8,4]
[1,7,8,2,6,4,3,5]=>[1,8,4,6,3,2,7,5]
[1,7,3,8,2,6,4,5]=>[1,8,7,6,4,2,3,5]
[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]
[7,1,5,8,3,2,4,6]=>[7,3,8,2,1,4,5,6]
[1,6,2,8,4,3,7,5]=>[1,6,4,8,7,2,3,5]
[1,3,8,7,2,4,6,5]=>[1,7,3,2,6,4,8,5]
[1,8,3,7,2,5,4,6]=>[1,7,8,5,2,4,3,6]
[8,1,4,7,3,2,5,6]=>[8,3,7,1,2,5,4,6]
[4,7,8,1,3,2,5,6]=>[8,3,1,4,2,5,7,6]
[7,1,4,2,3,5,6,8]=>[7,4,2,1,3,5,6,8]
[8,2,1,4,7,3,5,6]=>[2,8,7,1,3,5,4,6]
[2,1,3,8,4,6,7,5]=>[2,1,3,8,7,4,6,5]
[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[2,4,7,5,6,8,3,1]=>[3,2,8,4,7,5,6,1]
[2,4,8,7,5,6,3,1]=>[3,2,6,4,7,5,8,1]
[2,5,3,8,4,7,6,1]=>[6,2,5,7,3,8,1,4]
[2,8,5,7,3,6,4,1]=>[4,2,6,7,8,1,5,3]
[3,1,8,5,2,7,6,4]=>[3,5,1,8,6,7,4,2]
[8,3,5,7,1,6,4,2]=>[7,4,6,8,2,1,5,3]
[8,3,6,1,4,5,7,2]=>[6,7,8,1,4,3,5,2]
[2,8,6,3,4,5,7,1]=>[7,2,6,3,4,8,5,1]
[2,6,8,3,4,5,7,1]=>[7,2,8,3,4,6,5,1]
[2,5,7,3,4,8,6,1]=>[6,2,8,1,5,7,4,3]
[2,7,8,5,3,6,4,1]=>[4,2,6,5,8,1,7,3]
[2,7,6,3,4,8,5,1]=>[5,2,8,1,6,7,4,3]
[3,1,8,7,2,6,4,5]=>[3,7,1,6,4,2,8,5]
[8,3,7,6,1,4,5,2]=>[6,5,7,3,4,8,1,2]
[4,8,1,7,2,3,6,5]=>[8,7,2,4,6,3,1,5]
[4,1,7,2,3,6,5,8]=>[4,7,2,1,6,3,5,8]
[3,7,1,8,2,6,4,5]=>[7,8,3,6,4,2,1,5]
[3,1,7,8,2,5,6,4]=>[3,8,1,6,2,5,7,4]
[3,1,6,5,8,2,7,4]=>[3,8,1,7,6,5,2,4]
[6,3,5,8,7,1,4,2]=>[7,4,6,1,3,5,8,2]
[7,3,8,5,1,6,4,2]=>[5,4,8,6,7,3,1,2]
[7,3,6,1,4,8,5,2]=>[6,5,8,1,7,2,4,3]
[7,8,3,6,1,4,5,2]=>[6,5,8,1,4,3,7,2]
[7,4,8,1,2,3,6,5]=>[8,1,2,7,6,3,4,5]
[8,7,4,6,1,2,5,3]=>[6,1,5,7,2,4,8,3]
[7,5,1,2,3,4,8,6]=>[5,1,2,3,7,8,4,6]
[7,4,6,1,2,8,3,5]=>[6,1,8,7,3,4,2,5]
[6,4,1,2,8,5,7,3]=>[4,1,6,7,8,3,5,2]
[5,7,1,2,3,6,4,8]=>[7,1,2,6,5,3,4,8]
[3,6,8,1,2,7,4,5]=>[8,1,3,7,4,6,2,5]
[4,8,6,1,2,3,7,5]=>[6,1,2,4,8,7,5,3]
[8,4,6,1,2,3,7,5]=>[6,1,2,8,7,4,3,5]
[4,8,1,5,2,7,3,6]=>[8,5,7,4,1,3,2,6]
[4,1,2,5,3,8,7,6]=>[4,1,5,2,3,7,8,6]
[3,1,4,8,7,5,2,6]=>[3,5,1,4,7,2,8,6]
[4,3,6,8,7,5,1,2]=>[5,1,4,3,7,6,8,2]
[5,4,1,8,2,7,6,3]=>[4,5,8,6,2,7,3,1]
[5,4,1,8,2,7,3,6]=>[4,5,8,7,2,1,3,6]
[8,6,7,4,1,2,5,3]=>[4,1,7,5,3,8,6,2]
[6,4,8,1,2,5,3,7]=>[8,1,5,6,2,4,3,7]
[6,7,3,1,4,8,5,2]=>[3,7,5,2,8,6,4,1]
[5,6,3,8,7,1,4,2]=>[7,4,6,1,5,3,8,2]
[5,4,1,6,8,2,7,3]=>[4,5,8,7,2,6,3,1]
[5,4,7,1,2,8,6,3]=>[7,1,6,5,4,8,2,3]
[6,7,4,1,2,8,3,5]=>[4,1,7,8,2,6,3,5]
[6,5,1,2,3,7,8,4]=>[5,1,2,6,8,4,7,3]
[6,5,1,2,3,4,8,7]=>[5,1,2,3,6,4,8,7]
[8,6,5,1,2,3,7,4]=>[5,1,2,6,8,7,3,4]
[6,5,1,2,3,7,4,8]=>[5,1,2,6,7,4,3,8]
[6,7,4,1,2,5,3,8]=>[4,1,7,5,3,6,2,8]
[7,8,6,4,1,2,5,3]=>[4,1,6,5,3,8,7,2]
[2,4,6,3,5,7,1,8]=>[7,2,6,4,3,5,1,8]
[1,4,6,3,7,2,5,8]=>[1,7,6,4,2,3,5,8]
[8,6,2,5,3,1,7,4]=>[3,5,6,8,4,7,2,1]
[8,2,3,4,5,1,7,6]=>[5,8,2,3,4,7,1,6]
[1,8,3,4,2,7,5,6]=>[1,4,8,3,7,5,2,6]
[2,8,3,4,1,6,7,5]=>[4,2,8,3,7,1,6,5]
[8,7,2,3,1,6,5,4]=>[3,7,2,5,6,1,8,4]
[3,8,2,4,6,1,7,5]=>[6,8,3,2,7,4,1,5]
[7,8,2,4,3,1,6,5]=>[3,4,8,1,6,2,7,5]
[4,5,8,2,3,1,7,6]=>[3,8,2,4,5,7,1,6]
[5,1,4,3,7,2,6,8]=>[5,7,4,1,3,2,6,8]
[6,1,3,5,7,2,4,8]=>[6,7,1,2,3,5,4,8]
[2,1,4,7,5,3,6,8]=>[2,1,5,4,7,3,6,8]
[7,1,3,6,2,5,4,8]=>[7,6,1,5,2,3,4,8]
[8,1,3,6,2,4,7,5]=>[8,6,1,2,7,3,4,5]
[2,1,8,3,7,5,4,6]=>[2,1,8,5,7,4,3,6]
[7,1,8,2,5,6,3,4]=>[7,8,6,3,2,5,1,4]
[6,1,5,8,2,7,3,4]=>[6,8,7,3,1,5,2,4]
[4,5,2,8,1,6,7,3]=>[8,5,7,4,2,1,6,3]
[6,2,5,8,1,4,7,3]=>[8,6,7,1,2,5,4,3]
[3,2,8,5,1,6,7,4]=>[5,3,2,8,7,4,6,1]
[8,2,7,1,4,6,5,3]=>[7,8,5,1,6,4,2,3]
[1,3,8,2,5,7,4,6]=>[1,8,3,7,2,4,5,6]
[2,8,7,1,6,4,5,3]=>[7,2,5,6,4,1,8,3]
[3,8,7,1,5,6,4,2]=>[7,4,3,6,1,5,8,2]
[3,4,8,5,6,1,7,2]=>[6,7,3,4,8,5,1,2]
[8,3,7,4,1,6,5,2]=>[4,7,5,6,8,2,3,1]
[1,4,8,6,2,7,3,5]=>[1,6,8,4,2,7,3,5]
[8,4,5,7,1,6,3,2]=>[7,3,6,8,4,1,5,2]
[3,5,6,8,4,1,7,2]=>[4,8,3,7,5,6,2,1]
[6,2,3,1,5,4,7,8]=>[3,6,2,5,1,4,7,8]
[7,2,3,1,4,6,5,8]=>[3,7,2,1,6,4,5,8]
[8,2,3,1,4,5,7,6]=>[3,8,2,1,4,7,5,6]
[8,5,1,3,2,4,7,6]=>[5,3,1,2,8,7,4,6]
[7,5,1,3,2,6,4,8]=>[5,3,1,7,6,4,2,8]
[2,6,1,4,5,3,7,8]=>[6,2,5,1,4,3,7,8]
[3,6,4,1,5,2,7,8]=>[4,6,3,5,2,1,7,8]
[4,5,6,1,3,2,7,8]=>[6,3,1,4,5,2,7,8]
[4,5,7,1,2,6,3,8]=>[7,1,6,4,5,2,3,8]
[3,7,4,1,2,6,5,8]=>[4,1,3,7,6,2,5,8]
[6,7,1,4,2,5,3,8]=>[7,4,5,1,2,6,3,8]
[2,7,1,3,5,6,4,8]=>[7,2,1,6,3,5,4,8]
[8,6,1,2,4,3,7,5]=>[6,1,4,2,8,7,5,3]
[2,8,1,3,4,6,7,5]=>[8,2,1,3,7,4,6,5]
[7,8,1,2,5,3,6,4]=>[8,1,5,6,2,3,7,4]
[3,8,4,1,2,5,7,6]=>[4,1,3,8,2,7,5,6]
[1,2,6,7,5,3,8,4]=>[1,2,5,7,8,6,4,3]
[1,7,5,3,2,8,4,6]=>[1,3,5,7,8,2,4,6]
[1,6,7,5,3,8,4,2]=>[1,4,8,5,7,6,2,3]
[1,6,5,7,2,3,8,4]=>[1,7,2,8,6,5,3,4]
[1,3,8,2,6,5,7,4]=>[1,8,3,7,6,2,5,4]
[1,2,5,7,6,3,4,8]=>[1,2,6,3,5,7,4,8]
[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]
[1,5,7,6,2,3,4,8]=>[1,6,2,3,5,7,4,8]
[1,5,3,8,2,6,4,7]=>[1,8,5,6,3,2,4,7]
[1,4,8,3,2,5,7,6]=>[1,3,8,4,2,7,5,6]
[1,4,8,3,5,7,6,2]=>[1,6,7,4,2,8,5,3]
[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]
[1,3,8,4,2,6,7,5]=>[1,4,3,8,7,2,6,5]
[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]
[6,5,7,3,8,2,4,1]=>[4,8,7,2,6,5,3,1]
[4,2,6,7,5,8,3,1]=>[3,8,4,1,7,6,5,2]
[6,7,5,2,1,8,4,3]=>[2,5,4,7,8,6,3,1]
[3,4,8,7,5,2,1,6]=>[2,5,3,4,7,1,8,6]
[1,7,5,2,8,4,6,3]=>[1,5,7,6,8,2,3,4]
[5,6,8,3,1,7,2,4]=>[3,8,7,1,5,6,2,4]
[6,1,4,8,3,2,7,5]=>[6,3,8,1,7,4,2,5]
[3,4,7,1,8,6,2,5]=>[7,6,3,4,2,8,1,5]
[3,4,6,8,2,1,5,7]=>[2,8,3,4,1,6,5,7]
[3,8,2,5,6,1,4,7]=>[6,8,3,1,2,5,4,7]
[3,5,2,8,6,4,1,7]=>[4,6,3,5,1,8,2,7]
[4,2,5,7,3,8,6,1]=>[6,4,8,2,5,7,1,3]
[7,4,2,5,3,8,1,6]=>[8,4,7,5,3,1,2,6]
[3,1,2,8,5,6,4,7]=>[3,1,2,6,8,5,4,7]
[5,2,1,6,8,3,4,7]=>[2,5,8,3,1,6,4,7]
[5,2,6,8,4,1,3,7]=>[4,8,2,5,1,6,3,7]
[1,5,6,8,3,4,2,7]=>[1,4,8,3,5,6,2,7]
[4,5,8,1,6,3,2,7]=>[8,3,6,4,5,1,2,7]
[4,5,1,6,8,3,2,7]=>[5,3,8,4,1,6,2,7]
[4,5,7,3,8,2,6,1]=>[6,8,7,4,5,2,3,1]
[6,4,3,7,8,2,5,1]=>[5,8,4,6,2,3,7,1]
[6,4,3,1,7,8,2,5]=>[3,4,6,8,2,1,7,5]
[4,5,3,1,7,8,2,6]=>[3,5,8,4,2,1,7,6]
[7,1,3,5,4,8,2,6]=>[7,8,1,5,3,2,4,6]
[7,5,2,8,1,4,3,6]=>[8,5,4,1,7,3,2,6]
[5,7,3,8,4,6,1,2]=>[6,1,7,8,5,4,3,2]
[1,4,5,7,3,8,6,2]=>[1,6,8,4,5,7,2,3]
[4,6,3,7,8,5,2,1]=>[2,5,8,4,6,1,7,3]
[5,3,6,7,8,4,2,1]=>[2,4,8,5,1,6,7,3]
[1,5,3,6,7,8,4,2]=>[1,4,8,5,2,6,7,3]
[4,6,1,7,3,8,5,2]=>[6,5,8,4,7,1,2,3]
[6,3,7,1,8,4,5,2]=>[7,5,6,8,4,3,1,2]
[6,7,2,4,8,1,5,3]=>[8,7,5,2,1,6,4,3]
[2,6,1,4,7,3,8,5]=>[6,2,7,1,8,4,3,5]
[3,2,5,6,7,8,1,4]=>[8,3,2,1,5,6,7,4]
[5,2,3,6,7,8,4,1]=>[4,8,1,5,3,6,7,2]
[6,7,1,3,2,8,4,5]=>[7,3,1,8,4,6,2,5]
[6,2,7,1,3,4,8,5]=>[7,6,1,3,8,2,4,5]
[5,2,1,7,3,8,4,6]=>[2,5,7,8,1,4,3,6]
[6,4,2,7,1,8,3,5]=>[7,4,6,8,2,3,1,5]
[4,2,6,3,7,8,1,5]=>[8,4,6,2,1,3,7,5]
[4,2,6,3,7,8,5,1]=>[5,4,8,2,6,1,7,3]
[6,7,3,8,2,4,5,1]=>[5,8,7,2,4,6,3,1]
[3,6,2,7,4,1,8,5]=>[4,7,3,6,8,1,2,5]
[6,7,3,2,1,4,8,5]=>[2,3,7,1,8,6,4,5]
[7,1,8,3,4,2,5,6]=>[7,4,8,3,2,5,1,6]
[7,2,4,1,8,3,5,6]=>[4,7,8,2,3,5,1,6]
[7,2,4,8,6,1,3,5]=>[6,8,2,1,3,7,4,5]
[7,3,4,8,6,2,1,5]=>[2,6,8,1,3,7,4,5]
[3,5,7,2,1,8,6,4]=>[2,7,3,6,5,8,1,4]
[6,7,8,3,2,5,1,4]=>[5,3,8,1,2,6,7,4]
[6,3,7,8,2,5,4,1]=>[4,5,8,6,3,1,7,2]
[2,6,7,4,8,5,3,1]=>[3,2,5,8,7,6,1,4]
[6,2,4,7,1,8,5,3]=>[7,6,5,2,8,4,1,3]
[4,6,2,7,1,8,5,3]=>[7,6,5,4,8,2,1,3]
[1,7,4,8,5,2,6,3]=>[1,5,8,6,7,3,2,4]
[1,3,7,8,5,2,6,4]=>[1,5,3,8,6,4,7,2]
[2,5,7,8,1,6,3,4]=>[8,2,6,3,5,1,7,4]
[6,3,7,1,8,2,5,4]=>[7,8,6,5,2,3,1,4]
[1,6,4,7,8,2,5,3]=>[1,8,5,6,2,4,7,3]
[2,5,6,1,7,8,4,3]=>[6,2,4,8,5,1,7,3]
[5,6,1,2,7,8,4,3]=>[6,1,4,8,5,2,7,3]
[6,7,2,1,8,5,3,4]=>[2,7,5,3,8,6,1,4]
[6,7,2,8,5,4,1,3]=>[4,5,1,8,7,6,2,3]
[1,6,7,4,8,5,3,2]=>[1,3,5,8,7,6,2,4]
[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]
[7,2,8,3,5,1,4,6]=>[5,7,8,1,3,4,2,6]
[1,3,7,4,6,2,5,8]=>[1,6,3,7,2,4,5,8]
[1,5,7,4,3,6,2,8]=>[1,6,4,7,5,3,2,8]
[1,8,4,5,3,6,2,7]=>[1,6,5,8,4,3,2,7]
[1,8,5,3,4,7,2,6]=>[1,7,5,3,8,2,4,6]
[1,8,2,4,6,3,7,5]=>[1,8,6,2,7,4,3,5]
[1,8,2,5,4,6,7,3]=>[1,8,7,5,2,4,6,3]
[3,6,2,7,1,4,5,8]=>[7,6,3,1,4,2,5,8]
[6,3,8,1,2,4,7,5]=>[8,1,6,2,7,3,4,5]
[1,3,7,4,6,2,8,5]=>[1,6,3,7,8,4,2,5]
[1,4,7,5,2,6,8,3]=>[1,5,7,4,8,3,6,2]
[4,5,2,7,1,3,8,6]=>[7,5,1,4,2,8,3,6]
[4,5,2,3,6,1,8,7]=>[6,5,2,4,3,1,8,7]
[4,6,5,3,7,1,8,2]=>[7,8,5,4,6,3,1,2]
[2,5,4,7,1,6,8,3]=>[7,2,8,5,4,1,6,3]
[4,2,3,8,6,7,1,5]=>[7,4,2,3,1,8,6,5]
[6,2,4,8,5,1,7,3]=>[5,8,6,3,7,4,2,1]
[5,2,4,8,1,3,7,6]=>[8,5,1,2,4,7,3,6]
[6,2,5,4,8,3,7,1]=>[7,6,8,5,2,4,3,1]
[6,4,3,5,8,2,7,1]=>[7,8,4,6,3,5,2,1]
[5,2,3,4,8,1,6,7]=>[8,5,2,3,4,1,6,7]
[3,5,2,4,7,1,6,8]=>[7,5,3,2,4,1,6,8]
[5,3,4,8,1,6,2,7]=>[8,6,5,3,4,1,2,7]
[4,5,3,7,1,6,2,8]=>[7,6,5,4,3,1,2,8]
[6,2,4,8,5,1,3,7]=>[5,8,2,1,6,4,3,7]
[7,6,3,8,5,1,2,4]=>[5,1,8,3,6,7,2,4]
[1,4,3,7,8,2,5,6]=>[1,8,4,3,2,5,7,6]
[4,2,6,7,3,8,1,5]=>[8,4,7,2,1,6,3,5]
[1,5,7,4,2,8,6,3]=>[1,4,7,6,5,8,3,2]
[1,3,7,2,8,6,4,5]=>[1,7,3,6,4,8,2,5]
[1,4,3,7,8,6,2,5]=>[1,6,4,3,2,8,7,5]
[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]
[4,5,2,7,1,8,6,3]=>[7,5,6,4,2,8,1,3]
[4,3,6,5,7,8,1,2]=>[8,1,4,3,6,5,7,2]
[4,2,3,5,6,8,1,7]=>[8,4,2,3,5,6,1,7]
[5,2,6,4,7,8,3,1]=>[3,8,5,6,1,4,7,2]
[4,2,6,7,3,8,5,1]=>[5,4,8,2,7,6,1,3]
[3,2,5,6,8,1,7,4]=>[8,3,2,7,5,6,1,4]
[6,4,5,2,3,8,7,1]=>[7,5,2,6,4,3,8,1]
[8,4,6,7,5,2,3,1]=>[3,5,2,7,8,1,6,4]
[4,6,5,2,3,1,8,7]=>[3,5,2,4,6,1,8,7]
[6,4,2,5,3,1,8,7]=>[3,5,4,6,1,2,8,7]
[6,4,2,5,3,8,7,1]=>[7,4,6,5,3,2,8,1]
[8,6,4,7,5,2,3,1]=>[3,5,2,7,6,8,1,4]
[8,6,2,7,4,5,3,1]=>[3,5,6,8,1,7,4,2]
[6,4,2,5,8,7,3,1]=>[3,7,4,6,1,5,8,2]
[4,6,2,5,3,8,7,1]=>[7,6,5,4,2,3,8,1]
[4,6,5,2,3,8,7,1]=>[7,5,2,4,6,3,8,1]
[6,8,7,4,5,2,3,1]=>[3,5,2,7,4,6,8,1]
[4,8,6,7,5,2,3,1]=>[3,5,2,4,7,8,6,1]
[6,8,4,7,5,2,3,1]=>[3,5,2,7,8,6,1,4]
[6,8,2,7,4,5,3,1]=>[3,5,8,7,4,6,1,2]
[8,6,4,7,2,5,3,1]=>[3,5,7,6,1,8,4,2]
[8,6,2,4,7,5,3,1]=>[3,5,7,2,6,8,4,1]
[6,8,2,4,7,5,3,1]=>[3,5,7,2,8,6,4,1]
[4,8,2,6,7,5,3,1]=>[3,5,7,4,8,2,6,1]
[2,8,4,6,7,5,3,1]=>[3,2,5,7,8,1,6,4]
[2,8,6,7,4,5,3,1]=>[3,2,5,7,4,8,6,1]
[6,8,7,2,4,5,3,1]=>[3,5,7,1,4,6,8,2]
[2,6,4,5,8,7,3,1]=>[3,2,7,6,4,5,8,1]
[2,6,4,8,7,5,3,1]=>[3,2,5,7,6,1,8,4]
[4,6,2,8,7,5,3,1]=>[3,5,7,4,6,2,8,1]
[8,2,4,6,7,5,3,1]=>[3,5,7,2,8,4,6,1]
[6,2,4,8,7,5,3,1]=>[3,5,7,2,6,4,8,1]
[4,2,6,8,7,5,3,1]=>[3,5,4,1,7,6,8,2]
[4,2,6,5,8,7,3,1]=>[3,7,4,1,6,5,8,2]
[6,2,4,5,8,7,3,1]=>[3,7,6,1,4,5,8,2]
[8,2,6,7,4,5,3,1]=>[3,5,8,7,4,1,6,2]
[8,6,7,2,4,5,3,1]=>[3,5,7,1,4,8,6,2]
[6,4,5,2,8,7,3,1]=>[3,7,5,6,4,1,8,2]
[4,2,3,6,8,7,5,1]=>[5,4,2,3,7,6,8,1]
[6,4,5,8,7,2,3,1]=>[3,7,2,6,4,5,8,1]
[8,6,7,4,2,5,3,1]=>[3,5,4,7,1,8,6,2]
[8,4,6,7,2,5,3,1]=>[3,5,7,8,1,4,6,2]
[6,4,8,7,2,5,3,1]=>[3,5,7,6,1,4,8,2]
[6,2,8,7,4,5,3,1]=>[3,5,6,7,4,1,8,2]
[6,4,8,7,5,2,3,1]=>[3,5,2,7,6,1,8,4]
[4,6,8,7,5,2,3,1]=>[3,5,2,4,7,6,8,1]
[4,6,5,8,7,2,3,1]=>[3,7,2,4,6,5,8,1]
[2,1,6,8,7,4,5,3]=>[2,1,5,7,4,6,8,3]
[2,6,8,7,4,5,3,1]=>[3,2,5,7,4,6,8,1]
[2,4,8,6,7,5,3,1]=>[3,2,5,4,7,8,6,1]
[4,2,8,6,7,5,3,1]=>[3,5,4,1,7,8,6,2]
[6,2,8,4,7,5,3,1]=>[3,5,7,6,8,4,2,1]
[8,2,6,4,7,5,3,1]=>[3,5,7,8,6,4,2,1]
[6,4,8,2,7,5,3,1]=>[3,5,7,8,6,2,4,1]
[4,6,8,2,7,5,3,1]=>[3,5,7,4,8,6,2,1]
[2,6,8,4,7,5,3,1]=>[3,2,5,7,8,6,1,4]
[4,6,8,7,2,5,3,1]=>[3,5,7,4,1,6,8,2]
[4,6,5,8,2,7,3,1]=>[3,7,8,4,6,5,1,2]
[2,1,6,8,4,7,5,3]=>[2,1,5,7,8,6,3,4]
[2,1,8,6,4,7,5,3]=>[2,1,5,7,6,8,3,4]
[6,8,7,4,2,5,3,1]=>[3,5,4,7,1,6,8,2]
[2,8,6,4,7,5,3,1]=>[3,2,5,7,6,8,1,4]
[4,8,6,2,7,5,3,1]=>[3,5,7,4,6,8,2,1]
[4,2,5,6,3,8,1,7]=>[8,4,6,2,5,3,1,7]
[6,2,5,7,4,8,3,1]=>[3,8,6,7,1,5,4,2]
[8,5,2,1,4,7,6,3]=>[2,5,8,3,6,7,4,1]
[6,7,3,2,5,8,4,1]=>[4,3,8,7,1,6,5,2]
[3,2,6,4,8,1,5,7]=>[8,3,2,6,1,4,5,7]
[2,3,6,4,7,8,5,1]=>[5,2,3,8,6,1,7,4]
[7,5,1,8,3,4,6,2]=>[5,7,6,1,8,4,2,3]
[5,7,8,2,6,3,4,1]=>[4,8,6,3,5,2,7,1]
[7,1,6,3,5,8,4,2]=>[7,4,8,6,2,1,5,3]
[6,3,1,7,8,4,5,2]=>[3,6,5,8,4,2,7,1]
[5,3,6,7,4,1,8,2]=>[4,7,8,5,1,6,2,3]
[7,3,1,2,5,8,6,4]=>[3,1,7,6,2,8,5,4]
[1,6,3,5,2,4,8,7]=>[1,5,6,2,3,4,8,7]
[3,4,8,2,7,5,1,6]=>[5,7,3,4,8,2,1,6]
[6,3,2,8,5,7,4,1]=>[4,3,7,6,8,1,5,2]
[3,8,4,7,2,5,6,1]=>[6,7,3,8,2,5,4,1]
[2,4,8,1,5,3,7,6]=>[8,2,5,4,1,7,3,6]
[3,4,8,1,6,2,7,5]=>[8,6,3,4,7,1,2,5]
[1,8,4,6,7,3,5,2]=>[1,5,7,8,3,4,6,2]
[8,1,6,3,4,5,7,2]=>[8,7,6,3,4,1,5,2]
[7,6,5,4,1,2,8,3]=>[4,1,5,6,7,8,3,2]
[5,7,6,8,3,4,2,1]=>[2,4,8,3,5,7,6,1]
[2,8,1,6,5,7,4,3]=>[8,2,4,7,6,1,5,3]
[4,6,8,2,5,3,7,1]=>[7,8,5,4,2,6,3,1]
[5,2,3,7,6,1,8,4]=>[6,5,2,7,3,8,4,1]
[8,1,2,4,6,7,3,5]=>[8,1,7,2,3,4,6,5]
[5,2,3,7,4,8,6,1]=>[6,5,2,8,3,7,1,4]
[5,2,6,8,4,3,1,7]=>[3,4,8,5,2,6,1,7]
[7,8,1,5,4,3,6,2]=>[8,6,4,5,1,3,7,2]
[7,2,4,8,5,3,6,1]=>[6,7,5,2,8,3,4,1]
[3,7,5,1,8,4,6,2]=>[5,7,3,6,8,1,2,4]
[2,7,8,5,4,6,1,3]=>[6,2,1,5,8,4,7,3]
[5,7,4,3,8,6,2,1]=>[2,6,4,8,5,7,1,3]
[4,8,1,6,3,5,2,7]=>[8,5,6,4,3,1,2,7]
[8,3,1,7,4,2,5,6]=>[3,8,4,7,1,5,2,6]
[3,1,8,2,4,5,7,6]=>[3,8,1,2,4,7,5,6]
[8,1,3,7,6,2,4,5]=>[8,6,1,2,4,7,3,5]
[2,3,6,8,7,1,4,5]=>[7,2,3,1,4,6,8,5]
[4,3,2,8,5,7,1,6]=>[7,3,4,2,8,1,5,6]
[3,6,4,2,8,5,7,1]=>[7,4,3,6,8,2,5,1]
[4,7,3,2,5,1,8,6]=>[5,3,7,4,2,8,1,6]
[3,2,4,7,5,8,6,1]=>[6,3,2,4,8,7,1,5]
[4,2,3,8,6,5,1,7]=>[5,4,2,3,6,8,1,7]
[2,4,3,5,1,8,6,7]=>[5,2,4,3,1,8,6,7]
[3,2,8,1,4,6,5,7]=>[8,3,2,1,6,4,5,7]
[3,7,8,5,6,1,2,4]=>[6,1,3,2,8,5,7,4]
[3,6,1,8,4,7,2,5]=>[6,7,3,8,2,1,4,5]
[3,1,6,8,4,7,2,5]=>[3,7,1,8,2,6,4,5]
[4,1,6,8,3,2,7,5]=>[4,3,8,1,7,6,2,5]
[4,6,1,8,3,2,7,5]=>[6,3,8,4,7,1,2,5]
[4,7,8,1,3,2,6,5]=>[8,3,1,4,6,2,7,5]
[4,7,8,3,1,2,6,5]=>[3,1,8,4,6,2,7,5]
[2,7,8,3,4,6,5,1]=>[5,2,6,1,8,4,7,3]
[4,7,8,2,1,3,6,5]=>[2,8,1,4,6,3,7,5]
[4,6,1,8,2,3,7,5]=>[6,8,2,4,7,1,3,5]
[4,1,6,8,2,3,7,5]=>[4,8,2,1,7,6,3,5]
[4,5,1,2,8,3,7,6]=>[5,1,8,4,2,7,3,6]
[4,5,2,1,8,3,7,6]=>[2,5,8,4,1,7,3,6]
[4,6,2,8,1,3,7,5]=>[8,6,1,4,7,2,3,5]
[3,6,2,8,4,7,1,5]=>[7,6,3,8,1,2,4,5]
[2,3,6,8,4,7,5,1]=>[5,2,3,7,8,6,1,4]
[3,2,6,8,4,7,1,5]=>[7,3,2,8,1,6,4,5]
[4,2,6,8,3,1,7,5]=>[3,8,4,1,7,6,2,5]
[4,2,5,1,8,3,7,6]=>[5,4,8,2,1,7,3,6]
[4,1,2,5,8,3,7,6]=>[4,1,8,2,5,7,3,6]
[5,1,2,4,3,8,7,6]=>[5,1,4,2,3,7,8,6]
[5,2,4,1,3,8,7,6]=>[4,5,1,2,3,7,8,6]
[4,2,5,3,8,1,7,6]=>[8,4,5,2,3,7,1,6]
[3,2,5,4,8,7,1,6]=>[7,3,2,5,4,1,8,6]
[3,5,2,4,8,7,1,6]=>[7,5,3,2,4,1,8,6]
[5,4,2,1,3,8,7,6]=>[2,4,1,5,3,7,8,6]
[5,1,4,2,3,8,7,6]=>[5,4,2,1,3,7,8,6]
[5,4,1,3,2,8,7,6]=>[4,3,1,5,2,7,8,6]
[5,4,3,1,2,8,7,6]=>[3,1,4,5,2,7,8,6]
[4,5,3,1,8,2,7,6]=>[3,5,8,4,2,7,1,6]
[4,5,1,3,8,2,7,6]=>[5,8,1,4,3,7,2,6]
[3,1,5,4,8,7,2,6]=>[3,7,1,5,4,2,8,6]
[3,5,1,4,8,7,2,6]=>[5,7,3,1,4,2,8,6]
[3,5,4,1,8,7,2,6]=>[4,5,3,7,2,1,8,6]
[3,6,5,8,7,1,2,4]=>[7,1,3,2,6,5,8,4]
[2,5,6,8,7,3,4,1]=>[4,2,7,3,5,6,8,1]
[3,4,5,1,8,7,2,6]=>[5,7,3,4,1,2,8,6]
[3,4,1,5,8,7,2,6]=>[4,7,3,1,5,2,8,6]
[4,1,3,5,8,2,7,6]=>[4,8,1,3,5,7,2,6]
[4,3,6,8,2,1,7,5]=>[2,8,4,3,7,6,1,5]
[2,4,6,8,3,7,5,1]=>[5,2,7,4,8,6,1,3]
[3,4,5,2,8,7,1,6]=>[7,5,3,4,2,1,8,6]
[5,3,1,4,2,8,7,6]=>[3,5,4,2,1,7,8,6]
[5,1,3,4,2,8,7,6]=>[5,4,1,3,2,7,8,6]
[5,1,3,2,4,8,7,6]=>[5,3,1,2,4,7,8,6]
[5,3,2,1,4,8,7,6]=>[2,3,5,1,4,7,8,6]
[4,3,2,5,8,1,7,6]=>[8,3,4,2,5,7,1,6]
[3,4,2,5,8,7,1,6]=>[7,4,3,2,5,1,8,6]
[3,2,4,5,8,7,1,6]=>[7,3,2,4,5,1,8,6]
[4,2,3,5,8,1,7,6]=>[8,4,2,3,5,7,1,6]
[5,2,3,1,4,8,7,6]=>[3,5,2,1,4,7,8,6]
[5,2,1,3,4,8,7,6]=>[2,5,1,3,4,7,8,6]
[5,1,2,3,4,8,7,6]=>[5,1,2,3,4,7,8,6]
[8,6,2,5,4,1,3,7]=>[4,5,2,6,1,8,3,7]
[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,1,2]
[6,7,5,3,8,2,4,1]=>[4,8,5,2,7,6,3,1]
[8,2,1,6,3,4,5,7]=>[2,8,6,3,4,1,5,7]
[8,3,5,6,2,4,1,7]=>[4,6,8,2,3,5,1,7]
[8,6,2,1,3,5,4,7]=>[2,6,1,5,3,8,4,7]
[8,1,2,3,4,6,5,7]=>[8,1,2,3,6,4,5,7]
[6,2,3,7,8,4,5,1]=>[5,6,2,8,4,3,7,1]
[7,5,8,2,6,3,4,1]=>[4,8,6,3,7,2,5,1]
[7,3,1,6,5,8,4,2]=>[3,7,4,8,6,2,5,1]
[1,5,6,7,3,4,8,2]=>[1,8,7,3,5,6,4,2]
[6,7,8,2,1,4,5,3]=>[2,8,5,1,4,6,7,3]
[8,4,7,6,2,1,3,5]=>[2,6,1,7,4,8,3,5]
[5,3,8,4,7,2,6,1]=>[6,7,5,8,3,2,4,1]
[8,1,3,7,6,4,2,5]=>[8,4,1,6,2,7,3,5]
[5,3,1,7,8,6,2,4]=>[3,5,6,1,2,8,7,4]
[3,5,8,2,7,1,6,4]=>[7,8,3,6,5,1,2,4]
[6,2,8,5,3,1,7,4]=>[3,5,8,6,7,4,1,2]
[8,2,6,4,7,1,3,5]=>[7,8,1,6,3,2,4,5]
[3,4,2,8,5,1,7,6]=>[5,4,3,2,8,7,1,6]
[3,8,6,5,2,1,7,4]=>[2,5,3,6,8,7,1,4]
[8,3,7,4,2,5,6,1]=>[6,4,7,8,3,5,2,1]
[4,8,5,7,2,1,3,6]=>[2,7,1,4,8,3,5,6]
[3,4,1,8,2,6,7,5]=>[4,8,3,1,7,2,6,5]
[8,4,6,3,7,1,5,2]=>[7,5,6,8,1,4,3,2]
[6,8,3,4,1,5,7,2]=>[4,7,8,3,1,6,5,2]
[5,1,7,6,2,8,4,3]=>[5,6,4,7,1,8,3,2]
[6,8,2,5,7,4,1,3]=>[4,7,2,8,1,6,5,3]
[2,8,5,6,7,1,3,4]=>[7,2,1,3,8,5,6,4]
[2,5,7,6,3,1,8,4]=>[3,2,6,7,5,8,4,1]
[4,2,8,3,1,5,6,7]=>[3,8,4,1,2,5,6,7]
[2,5,7,3,8,4,6,1]=>[6,2,7,8,5,4,3,1]
[4,2,7,1,8,5,3,6]=>[7,4,5,2,8,3,1,6]
[4,2,1,8,7,5,6,3]=>[2,4,6,1,7,5,8,3]
[8,3,6,7,1,5,4,2]=>[7,4,5,8,1,2,6,3]
[1,3,7,5,8,6,4,2]=>[1,4,3,6,8,7,2,5]
[5,7,8,4,3,1,6,2]=>[3,4,8,6,5,1,7,2]
[2,7,4,5,8,3,6,1]=>[6,2,8,7,4,3,5,1]
[3,5,7,1,4,8,6,2]=>[7,6,3,1,5,8,4,2]
[7,2,8,5,1,4,6,3]=>[5,8,7,2,6,4,3,1]
[1,6,5,3,8,4,2,7]=>[1,4,8,5,6,2,3,7]
[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,3,4,1]
[4,8,6,1,3,5,2,7]=>[6,5,1,4,3,8,2,7]
[1,8,3,2,4,7,5,6]=>[1,3,8,2,7,5,4,6]
[8,4,3,2,5,7,1,6]=>[7,3,4,8,2,1,5,6]
[3,6,4,8,2,5,7,1]=>[7,8,3,6,2,4,5,1]
[4,3,7,2,5,8,1,6]=>[8,7,4,3,2,1,5,6]
[3,2,4,7,8,5,6,1]=>[6,3,2,4,8,5,7,1]
[2,6,4,3,8,5,1,7]=>[5,2,4,8,6,1,3,7]
[3,8,2,1,6,4,5,7]=>[2,8,3,6,4,1,5,7]
[8,2,1,3,4,5,7,6]=>[2,8,1,3,4,7,5,6]
[4,6,8,3,2,1,5,7]=>[2,3,8,4,1,6,5,7]
[3,2,6,8,5,4,1,7]=>[4,3,2,5,8,6,1,7]
[7,3,8,2,5,4,1,6]=>[4,5,8,7,3,2,1,6]
[4,2,5,3,8,7,6,1]=>[6,4,5,2,3,7,8,1]
[4,8,2,6,5,3,1,7]=>[3,5,6,4,8,2,1,7]
[2,6,8,5,4,1,3,7]=>[4,2,1,5,8,6,3,7]
[3,1,8,6,5,4,2,7]=>[3,4,1,5,6,8,2,7]
[5,4,8,7,3,2,6,1]=>[6,3,7,5,4,2,8,1]
[6,4,8,3,7,2,5,1]=>[5,7,8,6,2,4,3,1]
[4,7,3,6,2,1,8,5]=>[2,6,7,4,8,3,1,5]
[5,4,3,7,1,8,2,6]=>[7,8,4,5,3,2,1,6]
[7,3,8,5,1,4,2,6]=>[5,4,8,3,7,2,1,6]
[5,4,8,7,6,2,1,3]=>[2,6,1,5,4,7,8,3]
[3,8,1,5,7,4,6,2]=>[8,6,3,7,1,4,5,2]
[4,8,5,7,3,1,6,2]=>[3,7,6,4,8,2,5,1]
[1,5,4,8,3,7,6,2]=>[1,6,7,5,4,8,2,3]
[4,8,3,6,7,1,5,2]=>[7,5,8,4,1,3,6,2]
[4,7,8,3,1,6,5,2]=>[3,8,5,4,6,2,7,1]
[8,7,5,3,6,4,2,1]=>[2,4,6,5,7,1,8,3]
[4,6,1,3,8,7,5,2]=>[6,5,1,4,7,3,8,2]
[6,8,2,1,7,4,5,3]=>[2,8,5,7,4,6,1,3]
[3,7,1,6,4,2,8,5]=>[7,4,3,6,8,1,2,5]
[3,1,2,7,5,6,8,4]=>[3,1,2,8,7,5,6,4]
[3,6,1,2,7,5,8,4]=>[6,1,3,8,7,2,5,4]
[3,7,6,2,5,8,1,4]=>[8,6,3,1,2,7,5,4]
[3,6,2,5,8,7,4,1]=>[4,7,3,6,1,5,8,2]
[8,5,2,3,6,7,4,1]=>[4,7,1,5,8,3,6,2]
[4,7,2,6,3,8,1,5]=>[8,7,6,4,1,2,3,5]
[6,3,2,4,8,7,5,1]=>[5,3,7,1,6,4,8,2]
[3,7,2,4,6,1,8,5]=>[6,7,3,2,8,4,1,5]
[5,3,7,2,8,1,4,6]=>[8,7,5,1,3,4,2,6]
[6,3,2,8,7,5,1,4]=>[5,3,7,2,6,1,8,4]
[7,3,8,2,6,5,1,4]=>[5,6,8,2,7,3,1,4]
[6,4,8,7,2,5,1,3]=>[5,7,1,6,2,4,8,3]
[2,5,4,8,1,7,6,3]=>[8,2,6,5,4,7,1,3]
[5,2,8,1,7,6,3,4]=>[8,5,6,3,2,7,1,4]
[6,2,1,3,8,7,5,4]=>[2,6,1,5,7,3,8,4]
[3,6,1,8,7,5,2,4]=>[6,5,3,2,7,1,8,4]
[5,6,1,2,8,7,4,3]=>[6,1,4,7,5,2,8,3]
[7,5,2,8,1,6,4,3]=>[8,5,4,7,6,1,3,2]
[2,7,6,8,1,5,4,3]=>[8,2,4,5,1,7,6,3]
[7,8,5,1,6,2,4,3]=>[5,8,4,1,6,2,7,3]
[7,4,8,6,1,2,5,3]=>[6,1,5,8,4,7,2,3]
[7,2,1,8,3,6,5,4]=>[2,7,8,5,6,3,1,4]
[5,8,7,1,6,4,3,2]=>[7,3,4,6,5,1,8,2]
[8,5,4,3,7,2,1,6]=>[2,7,4,5,8,1,3,6]
[6,5,4,8,3,2,7,1]=>[7,3,8,5,6,4,2,1]
[7,6,4,3,2,8,5,1]=>[5,3,4,8,6,7,1,2]
[7,3,1,4,8,2,5,6]=>[3,7,8,2,1,5,4,6]
[7,4,1,2,5,8,3,6]=>[4,1,7,8,3,2,5,6]
[6,7,4,2,5,1,3,8]=>[5,4,1,7,2,6,3,8]
[5,7,2,4,6,8,1,3]=>[8,7,1,2,5,4,6,3]
[4,7,5,1,6,2,8,3]=>[5,7,6,4,8,2,3,1]
[5,7,4,6,3,1,8,2]=>[3,6,8,7,5,4,2,1]
[7,5,1,4,3,2,8,6]=>[5,3,4,1,7,8,2,6]
[8,6,4,2,3,7,5,1]=>[5,4,1,7,6,8,3,2]
[6,4,7,1,3,8,5,2]=>[7,5,1,8,6,2,3,4]
[5,4,2,7,3,1,6,8]=>[3,7,4,5,1,2,6,8]
[4,5,1,2,7,6,8,3]=>[5,1,8,4,2,7,6,3]
[5,4,6,8,3,1,2,7]=>[3,1,8,5,4,6,2,7]
[6,4,8,1,3,7,2,5]=>[8,7,1,6,2,4,3,5]
[4,6,1,3,8,5,2,7]=>[6,5,1,4,8,3,2,7]
[1,3,8,4,5,7,2,6]=>[1,7,3,8,4,2,5,6]
[2,6,7,4,5,3,1,8]=>[3,2,5,7,4,6,1,8]
[2,6,8,4,3,5,1,7]=>[5,2,4,8,3,6,1,7]
[1,3,7,4,2,8,5,6]=>[1,4,3,7,8,5,2,6]
[4,6,1,3,7,2,5,8]=>[6,7,1,4,2,3,5,8]
[7,5,8,6,2,1,3,4]=>[2,6,1,3,8,7,4,5]
[2,8,1,3,6,5,4,7]=>[8,2,1,5,6,3,4,7]
[2,8,7,3,5,4,1,6]=>[4,2,5,7,1,3,8,6]
[3,4,2,6,8,7,1,5]=>[7,4,3,2,1,6,8,5]
[7,4,2,3,6,1,8,5]=>[6,4,2,7,8,3,1,5]
[8,4,2,3,6,5,7,1]=>[7,4,2,8,6,3,5,1]
[7,3,8,4,1,2,6,5]=>[4,1,8,7,6,3,2,5]
[6,8,3,2,7,1,5,4]=>[7,3,8,5,1,6,2,4]
[2,8,5,6,3,7,1,4]=>[7,2,6,1,8,5,3,4]
[7,4,2,5,8,1,6,3]=>[8,4,7,6,3,1,5,2]
[2,7,8,3,4,5,1,6]=>[5,2,8,3,4,1,7,6]
[3,7,1,2,4,6,5,8]=>[7,1,3,2,6,4,5,8]
[7,5,6,8,2,1,4,3]=>[2,8,4,1,7,5,6,3]
[3,1,6,5,2,7,4,8]=>[3,5,1,6,7,4,2,8]
[2,8,6,5,3,4,1,7]=>[4,2,5,3,6,8,1,7]
[1,7,2,3,5,6,8,4]=>[1,7,2,8,3,5,6,4]
[3,7,4,2,1,5,6,8]=>[2,4,3,7,1,5,6,8]
[3,4,6,2,8,5,7,1]=>[7,6,3,4,8,2,5,1]
[4,2,1,7,5,8,3,6]=>[2,4,8,1,7,3,5,6]
[4,7,2,6,5,1,3,8]=>[5,6,2,4,7,1,3,8]
[3,7,4,1,2,5,8,6]=>[4,1,3,7,2,8,5,6]
[4,7,1,6,5,2,8,3]=>[7,5,6,4,8,1,3,2]
[4,7,3,6,5,1,8,2]=>[5,6,8,4,7,1,2,3]
[4,3,7,1,6,8,5,2]=>[7,5,4,3,8,1,6,2]
[4,2,1,7,5,6,8,3]=>[2,4,8,1,7,5,6,3]
[3,2,4,8,6,7,1,5]=>[7,3,2,4,1,8,6,5]
[4,2,6,8,7,3,1,5]=>[3,7,4,1,2,6,8,5]
[3,4,6,1,8,5,2,7]=>[6,5,3,4,8,1,2,7]
[4,1,6,7,5,8,2,3]=>[4,8,2,1,7,6,5,3]
[4,3,6,7,5,1,2,8]=>[5,1,4,3,7,6,2,8]
[4,3,7,1,6,8,2,5]=>[7,8,4,3,2,1,6,5]
[4,3,7,5,6,8,2,1]=>[2,8,4,3,7,5,6,1]
[4,1,7,3,6,5,2,8]=>[4,5,6,1,7,2,3,8]
[2,8,7,4,5,3,1,6]=>[3,2,5,7,4,1,8,6]
[2,8,7,4,3,5,1,6]=>[5,2,4,7,3,1,8,6]
[3,8,1,4,2,6,5,7]=>[8,4,3,1,6,2,5,7]
[4,1,7,3,6,2,5,8]=>[4,6,7,1,2,3,5,8]
[5,8,7,6,1,2,4,3]=>[6,1,4,2,5,7,8,3]
[5,8,7,6,2,1,3,4]=>[2,6,1,3,5,7,8,4]
[4,1,7,2,6,8,5,3]=>[4,7,5,1,8,2,6,3]
[4,2,7,3,6,1,8,5]=>[6,4,7,2,8,3,1,5]
[4,2,7,3,6,5,8,1]=>[8,4,7,2,6,3,5,1]
[3,8,2,4,5,6,7,1]=>[7,8,3,2,4,5,6,1]
[3,8,2,4,1,6,7,5]=>[4,8,3,2,7,1,6,5]
[3,8,5,6,2,4,1,7]=>[4,6,3,2,8,5,1,7]
[2,8,6,5,3,7,1,4]=>[7,2,5,1,6,8,3,4]
[3,8,6,5,1,4,7,2]=>[5,6,3,1,8,7,4,2]
[3,8,2,1,4,6,7,5]=>[2,8,3,1,7,4,6,5]
[3,8,2,5,4,6,7,1]=>[7,8,3,5,2,4,6,1]
[4,2,7,5,6,3,8,1]=>[8,4,6,2,7,5,3,1]
[4,2,7,5,6,1,8,3]=>[6,4,8,2,7,5,1,3]
[4,2,6,7,5,3,1,8]=>[3,5,4,1,7,6,2,8]
[3,2,6,1,4,5,8,7]=>[6,3,2,1,4,5,8,7]
[2,8,7,3,4,5,1,6]=>[5,2,7,3,4,1,8,6]
[3,8,1,2,4,6,5,7]=>[8,1,3,2,6,4,5,7]
[5,8,7,6,1,3,4,2]=>[6,4,1,3,5,7,8,2]
[5,8,7,6,2,3,4,1]=>[4,6,2,3,5,7,8,1]
[4,1,7,5,6,2,3,8]=>[4,6,2,1,7,5,3,8]
[3,8,1,5,2,6,4,7]=>[8,5,3,6,1,2,4,7]
[2,8,7,5,3,4,1,6]=>[4,2,5,3,7,1,8,6]
[2,8,7,5,4,3,1,6]=>[3,2,4,5,7,1,8,6]
[4,1,7,5,6,3,2,8]=>[4,3,6,1,7,5,2,8]
[5,8,7,6,1,3,2,4]=>[6,3,1,2,5,7,8,4]
[5,8,7,6,4,1,2,3]=>[4,1,2,6,5,7,8,3]
[5,4,2,3,7,6,8,1]=>[8,4,2,5,3,7,6,1]
[7,4,3,5,2,8,1,6]=>[8,5,4,7,3,1,2,6]
[8,4,3,7,5,1,6,2]=>[5,7,4,6,8,2,1,3]
[8,4,7,2,5,1,6,3]=>[5,7,6,8,2,1,4,3]
[7,4,6,2,3,5,8,1]=>[8,6,2,7,3,4,5,1]
[5,1,7,2,4,6,8,3]=>[5,7,8,2,1,4,6,3]
[4,5,7,1,2,6,8,3]=>[7,1,8,4,5,2,6,3]
[5,4,1,7,3,6,8,2]=>[4,5,8,7,2,1,6,3]
[3,6,4,7,5,2,8,1]=>[8,5,3,7,6,2,4,1]
[3,4,7,6,2,5,8,1]=>[8,6,3,4,2,7,5,1]
[4,7,5,6,1,3,8,2]=>[6,8,1,4,7,5,3,2]
[5,7,6,4,3,1,8,2]=>[3,4,6,7,5,8,2,1]
[5,7,6,3,1,4,8,2]=>[3,6,7,1,5,8,4,2]
[7,5,2,3,4,8,1,6]=>[8,5,2,3,7,1,4,6]
[8,7,5,3,4,1,6,2]=>[4,6,5,3,7,1,8,2]
[6,7,1,3,8,4,2,5]=>[7,4,1,8,2,6,3,5]
[7,6,1,3,4,8,5,2]=>[6,5,2,3,7,8,4,1]
[3,6,5,2,7,8,1,4]=>[8,5,3,1,6,2,7,4]
[3,2,8,6,7,1,4,5]=>[7,3,2,1,4,8,6,5]
[4,8,3,6,5,2,1,7]=>[2,5,6,4,8,1,3,7]
[1,8,6,5,4,2,3,7]=>[1,4,2,5,6,8,3,7]
[1,8,7,2,3,5,4,6]=>[1,7,2,5,3,4,8,6]
[1,8,7,2,5,3,4,6]=>[1,7,5,3,2,4,8,6]
[3,6,8,5,1,2,4,7]=>[5,1,3,2,8,6,4,7]
[3,7,5,1,8,2,6,4]=>[5,7,3,8,6,4,2,1]
[7,1,2,8,3,5,6,4]=>[7,1,8,6,3,5,2,4]
[6,1,7,8,2,5,3,4]=>[6,8,5,3,2,1,7,4]
[6,7,5,2,8,1,4,3]=>[8,5,4,1,7,6,2,3]
[7,1,4,5,8,6,2,3]=>[7,6,2,1,4,8,5,3]
[5,7,6,4,2,8,1,3]=>[8,4,1,6,5,7,2,3]
[7,5,6,1,2,8,4,3]=>[6,1,4,8,7,5,2,3]
[4,1,3,7,8,6,2,5]=>[4,6,1,3,2,8,7,5]
[5,1,4,3,6,8,7,2]=>[5,7,4,1,3,6,8,2]
[4,5,7,6,8,2,1,3]=>[2,8,1,4,5,7,6,3]
[5,7,6,8,4,2,1,3]=>[2,4,1,8,5,7,6,3]
[5,1,6,8,4,2,7,3]=>[5,4,8,7,1,6,3,2]
[7,4,8,2,3,6,5,1]=>[5,6,1,8,7,4,3,2]
[5,6,8,4,7,3,2,1]=>[2,3,7,8,5,6,4,1]
[6,4,7,8,5,2,1,3]=>[2,5,1,8,6,3,7,4]
[3,6,4,8,5,1,2,7]=>[5,1,3,8,6,2,4,7]
[3,7,4,8,1,2,5,6]=>[8,1,3,7,2,5,4,6]
[7,4,3,8,2,6,5,1]=>[5,6,4,8,7,3,1,2]
[7,6,8,3,2,5,4,1]=>[4,3,5,8,1,7,6,2]
[8,7,1,3,5,4,6,2]=>[7,6,1,5,3,4,8,2]
[7,1,8,3,4,2,6,5]=>[7,4,8,3,6,2,1,5]
[7,6,8,3,1,4,5,2]=>[3,8,5,2,4,7,6,1]
[3,1,4,8,2,5,7,6]=>[3,8,1,4,2,7,5,6]
[4,8,5,2,1,3,6,7]=>[2,5,1,4,8,3,6,7]
[5,8,2,6,3,1,4,7]=>[3,6,8,2,5,1,4,7]
[6,8,2,3,7,4,1,5]=>[4,7,1,8,2,6,3,5]
[7,8,2,3,4,6,5,1]=>[5,6,1,3,8,4,7,2]
[8,1,7,2,4,5,3,6]=>[8,7,5,2,4,3,1,6]
[8,1,3,6,2,5,4,7]=>[8,6,1,5,2,3,4,7]
[7,2,1,6,3,5,4,8]=>[2,7,6,5,3,1,4,8]
[2,7,1,6,3,5,4,8]=>[7,2,6,5,3,1,4,8]
[2,7,1,5,4,3,6,8]=>[7,2,4,5,1,3,6,8]
[7,2,1,5,4,3,6,8]=>[2,7,4,5,1,3,6,8]
[8,1,3,5,4,2,6,7]=>[8,4,1,5,3,2,6,7]
[8,1,5,3,4,2,6,7]=>[8,4,5,3,1,2,6,7]
[8,1,5,6,2,3,7,4]=>[8,6,2,7,1,5,3,4]
[8,1,4,5,3,2,6,7]=>[8,3,5,1,4,2,6,7]
[8,1,4,3,5,2,6,7]=>[8,5,4,1,3,2,6,7]
[7,2,1,4,5,3,6,8]=>[2,7,5,1,4,3,6,8]
[2,7,1,4,5,3,6,8]=>[7,2,5,1,4,3,6,8]
[2,6,3,1,5,4,7,8]=>[3,2,6,5,1,4,7,8]
[6,3,2,1,5,4,7,8]=>[2,3,6,5,1,4,7,8]
[7,3,1,4,5,2,6,8]=>[3,7,5,2,4,1,6,8]
[7,3,1,5,4,2,6,8]=>[3,7,4,5,2,1,6,8]
[7,3,1,6,2,5,4,8]=>[3,7,6,5,1,2,4,8]
[3,7,1,6,2,5,4,8]=>[7,6,3,5,2,1,4,8]
[3,7,1,4,5,2,6,8]=>[7,5,3,1,4,2,6,8]
[3,6,2,1,5,4,7,8]=>[2,6,3,5,1,4,7,8]
[2,3,6,1,5,4,7,8]=>[6,2,3,5,1,4,7,8]
[3,5,2,4,1,6,7,8]=>[4,5,3,2,1,6,7,8]
[6,3,4,1,5,2,7,8]=>[4,5,6,3,1,2,7,8]
[6,2,4,1,5,3,7,8]=>[4,6,5,2,1,3,7,8]
[2,6,4,1,5,3,7,8]=>[4,2,6,5,3,1,7,8]
[2,6,5,1,3,7,4,8]=>[5,2,1,6,7,4,3,8]
[6,2,5,1,3,7,4,8]=>[5,6,1,7,2,3,4,8]
[6,5,2,1,3,7,4,8]=>[2,5,1,6,7,4,3,8]
[7,6,1,2,4,5,3,8]=>[6,1,5,2,4,7,3,8]
[6,7,1,2,8,3,5,4]=>[7,1,8,5,3,6,2,4]
[6,7,1,2,5,4,3,8]=>[7,1,4,5,2,6,3,8]
[5,6,2,1,3,7,4,8]=>[2,6,1,7,5,3,4,8]
[5,2,6,1,3,7,4,8]=>[6,5,1,7,2,3,4,8]
[2,4,6,1,5,3,7,8]=>[6,2,5,4,1,3,7,8]
[4,7,1,3,5,2,6,8]=>[7,5,1,4,3,2,6,8]
[4,7,1,5,3,2,6,8]=>[7,3,5,4,1,2,6,8]
[5,7,1,4,2,6,3,8]=>[7,4,6,1,5,2,3,8]
[5,7,1,6,2,3,8,4]=>[7,6,2,8,5,1,3,4]
[5,6,3,1,2,7,4,8]=>[3,1,6,7,5,2,4,8]
[4,2,5,3,1,6,7,8]=>[3,5,4,1,2,6,7,8]
[5,3,6,1,2,7,4,8]=>[6,1,5,7,3,2,4,8]
[3,4,6,1,5,2,7,8]=>[6,5,3,4,1,2,7,8]
[6,5,1,8,7,3,4,2]=>[5,4,6,1,7,3,8,2]
[8,2,7,5,4,1,3,6]=>[4,5,1,7,8,3,2,6]
[6,8,5,2,3,4,1,7]=>[4,5,2,3,8,6,1,7]
[2,6,8,7,1,5,3,4]=>[7,2,5,3,1,6,8,4]
[8,5,6,2,7,1,4,3]=>[7,6,4,1,8,5,2,3]
[6,5,1,2,7,8,4,3]=>[5,1,4,6,8,3,7,2]
[4,7,6,1,5,3,8,2]=>[6,7,5,4,2,8,3,1]
[5,7,6,4,1,3,8,2]=>[4,6,1,7,5,8,3,2]
[7,6,2,4,5,3,8,1]=>[8,6,5,2,4,7,3,1]
[6,1,7,5,3,8,4,2]=>[6,4,8,5,7,1,2,3]
[8,6,7,5,3,1,4,2]=>[3,5,4,2,7,8,6,1]
[8,5,2,7,1,6,4,3]=>[7,5,4,8,6,1,3,2]
[7,6,1,5,3,8,4,2]=>[6,4,7,5,3,8,2,1]
[5,6,2,4,7,8,1,3]=>[8,6,1,2,5,4,7,3]
[3,4,6,1,7,8,5,2]=>[6,5,3,4,8,1,7,2]
[3,4,8,6,7,1,5,2]=>[7,5,3,4,1,8,6,2]
[4,8,5,6,7,2,3,1]=>[3,7,2,4,8,5,6,1]
[5,8,6,4,1,2,7,3]=>[4,1,6,8,5,7,2,3]
[5,8,6,1,7,2,4,3]=>[6,8,4,1,5,7,2,3]
[5,8,7,3,2,6,4,1]=>[4,3,6,7,5,1,8,2]
[5,8,1,7,2,6,4,3]=>[8,7,4,6,5,2,1,3]
[8,1,5,7,2,6,4,3]=>[8,7,4,6,1,2,5,3]
[8,1,7,2,5,6,3,4]=>[8,7,6,3,2,5,1,4]
[6,8,7,2,5,1,3,4]=>[5,7,1,3,2,6,8,4]
[5,8,7,2,1,6,3,4]=>[2,7,6,3,5,1,8,4]
[4,8,1,5,2,6,7,3]=>[8,5,7,4,1,2,6,3]
[3,7,8,5,1,6,2,4]=>[5,8,3,1,6,2,7,4]
[6,5,2,7,8,1,4,3]=>[8,5,4,1,6,2,7,3]
[7,1,2,8,5,6,3,4]=>[7,1,6,3,8,5,2,4]
[8,7,2,1,5,6,3,4]=>[2,7,6,3,1,5,8,4]
[8,6,7,1,5,2,3,4]=>[7,5,2,3,1,8,6,4]
[6,1,7,8,5,2,3,4]=>[6,5,2,3,8,1,7,4]
[7,5,6,2,1,8,4,3]=>[2,6,4,8,7,5,1,3]
[8,7,5,2,1,6,4,3]=>[2,5,4,7,6,3,8,1]
[7,1,3,5,8,6,2,4]=>[7,6,1,2,3,8,5,4]
[5,1,3,4,6,8,7,2]=>[5,7,1,3,4,6,8,2]
[4,5,3,6,8,2,7,1]=>[7,8,5,4,3,6,2,1]
[5,6,3,4,8,1,7,2]=>[8,7,6,3,5,4,1,2]
[4,6,7,8,5,1,3,2]=>[5,3,1,4,8,6,7,2]
[8,4,3,1,2,6,7,5]=>[3,1,4,8,7,2,6,5]
[8,5,1,6,3,4,7,2]=>[5,8,7,1,6,2,4,3]
[5,1,8,6,3,4,7,2]=>[5,7,6,3,1,8,4,2]
[4,6,8,1,5,3,7,2]=>[8,7,5,4,1,6,3,2]
[6,4,5,8,3,2,7,1]=>[7,3,8,6,4,5,2,1]
[3,6,4,8,7,1,5,2]=>[7,5,3,6,1,4,8,2]
[6,5,8,1,3,4,7,2]=>[8,7,1,3,6,5,4,2]
[5,6,8,3,1,2,7,4]=>[3,1,8,7,5,6,2,4]
[6,1,8,3,5,2,7,4]=>[6,5,8,7,3,1,2,4]
[7,6,8,3,5,2,1,4]=>[2,5,8,1,3,7,6,4]
[8,6,1,3,5,2,7,4]=>[6,5,1,8,4,7,2,3]
[8,7,1,3,5,6,2,4]=>[7,6,1,2,3,5,8,4]
[6,7,8,3,5,1,2,4]=>[5,1,8,2,3,6,7,4]
[3,4,8,1,2,6,7,5]=>[8,1,3,4,7,2,6,5]
[5,8,2,4,3,6,7,1]=>[7,8,4,2,5,3,6,1]
[5,8,2,3,1,6,7,4]=>[3,8,2,7,5,1,6,4]
[6,8,2,3,5,1,7,4]=>[5,8,2,7,3,6,1,4]
[7,8,2,3,5,6,1,4]=>[6,8,2,1,3,5,7,4]
[8,6,5,1,4,3,7,2]=>[5,6,4,1,8,7,3,2]
[2,4,8,6,1,3,7,5]=>[6,2,1,4,8,7,5,3]
[6,7,1,8,4,3,5,2]=>[7,5,4,8,3,6,1,2]
[2,7,8,6,1,4,3,5]=>[6,2,4,1,3,8,7,5]
[2,7,3,8,1,6,4,5]=>[8,2,7,6,4,1,3,5]
[7,5,1,8,2,4,6,3]=>[5,7,8,3,6,4,2,1]
[2,7,8,4,1,6,3,5]=>[4,2,8,6,1,3,7,5]
[2,6,5,4,1,3,8,7]=>[4,2,1,5,6,3,8,7]
[4,1,7,6,3,8,2,5]=>[4,8,6,1,2,7,3,5]
[4,8,2,5,7,6,3,1]=>[3,6,7,4,2,8,5,1]
[3,4,6,5,1,8,2,7]=>[5,6,3,4,8,2,1,7]
[2,6,5,3,4,1,8,7]=>[4,2,5,3,6,1,8,7]
[4,6,1,5,2,3,8,7]=>[6,5,2,4,1,3,8,7]
[6,2,3,5,1,4,8,7]=>[5,6,2,1,3,4,8,7]
[2,6,7,5,1,8,4,3]=>[5,2,4,7,8,6,3,1]
[8,6,1,2,5,3,4,7]=>[6,1,5,3,2,8,4,7]
[6,2,5,1,8,3,4,7]=>[5,6,8,3,2,1,4,7]
[7,6,5,2,8,3,4,1]=>[4,5,6,3,7,8,2,1]
[2,6,3,5,1,8,7,4]=>[5,2,6,7,3,1,8,4]
[2,4,7,6,5,8,1,3]=>[8,2,1,4,6,7,5,3]
[2,1,4,8,7,6,3,5]=>[2,1,6,4,3,7,8,5]
[7,4,6,8,5,3,2,1]=>[2,3,5,8,7,1,6,4]
[8,1,3,5,7,4,6,2]=>[8,6,1,7,3,4,5,2]
[3,2,8,7,5,1,6,4]=>[5,3,2,7,6,4,8,1]
[4,8,5,1,6,7,2,3]=>[5,8,1,4,7,2,6,3]
[3,8,5,1,6,7,2,4]=>[5,8,3,1,7,2,6,4]
[7,8,6,1,3,5,2,4]=>[6,5,1,2,3,8,7,4]
[5,6,7,2,8,1,3,4]=>[8,7,1,3,5,6,2,4]
[2,5,1,8,6,7,4,3]=>[5,2,4,7,1,8,6,3]
[3,5,1,8,6,7,4,2]=>[5,4,3,7,1,8,6,2]
[5,2,3,8,6,7,4,1]=>[4,7,1,5,3,8,6,2]
[8,3,5,4,6,7,1,2]=>[7,1,8,5,3,4,6,2]
[5,1,3,8,6,7,4,2]=>[5,4,1,7,3,8,6,2]
[3,2,5,8,6,7,4,1]=>[4,3,2,7,5,8,6,1]
[6,2,1,5,3,8,7,4]=>[2,6,5,7,1,3,8,4]
[5,6,3,2,8,1,4,7]=>[8,3,6,1,5,2,4,7]
[8,1,6,3,5,2,7,4]=>[8,5,6,7,3,1,2,4]
[8,7,6,2,5,3,1,4]=>[3,5,6,2,1,7,8,4]
[4,7,6,8,3,2,5,1]=>[5,3,8,4,2,7,6,1]
[2,7,5,8,1,3,4,6]=>[8,2,1,3,7,4,5,6]
[7,6,2,8,5,1,4,3]=>[5,8,4,2,6,7,1,3]
[8,1,3,7,5,2,6,4]=>[8,5,1,7,6,4,3,2]
[3,4,8,7,5,1,6,2]=>[5,7,3,4,6,2,8,1]
[6,3,8,1,4,2,5,7]=>[8,4,6,1,2,3,5,7]
[6,3,8,5,7,4,1,2]=>[4,1,7,6,8,2,5,3]
[7,4,6,8,5,1,3,2]=>[5,3,1,8,7,2,6,4]
[2,1,4,8,7,5,6,3]=>[2,1,6,4,7,5,8,3]
[7,1,5,8,2,6,4,3]=>[7,8,4,6,1,2,5,3]
[3,6,8,2,4,1,7,5]=>[4,8,3,2,7,6,1,5]
[4,5,8,2,6,7,3,1]=>[3,7,8,4,5,1,6,2]
[5,2,8,1,6,7,3,4]=>[8,5,7,3,2,1,6,4]
[2,5,8,4,6,7,3,1]=>[3,2,7,8,5,4,6,1]
[5,8,3,4,6,7,2,1]=>[2,7,8,3,5,4,6,1]
[8,4,3,2,6,7,1,5]=>[7,3,4,8,1,2,6,5]
[4,2,8,1,6,7,3,5]=>[8,4,7,2,3,1,6,5]
[2,4,8,1,6,7,3,5]=>[8,2,7,4,3,1,6,5]
[5,1,8,2,6,7,3,4]=>[5,8,7,3,1,2,6,4]
[3,4,8,7,2,1,5,6]=>[2,7,3,4,1,5,8,6]
[7,8,5,3,6,4,2,1]=>[2,4,6,5,8,1,7,3]
[2,8,5,7,4,1,3,6]=>[4,2,1,7,8,3,5,6]
[5,8,4,1,6,7,2,3]=>[4,8,1,7,5,2,6,3]
[3,8,1,4,6,7,2,5]=>[8,7,3,1,2,4,6,5]
[8,2,3,4,6,7,1,5]=>[7,8,2,3,1,4,6,5]
[6,2,7,3,8,4,1,5]=>[4,8,6,7,2,3,1,5]
[7,4,3,2,8,5,1,6]=>[5,3,4,8,7,2,1,6]
[5,3,2,8,4,6,1,7]=>[6,3,5,8,2,4,1,7]
[8,4,2,6,5,3,1,7]=>[3,5,4,6,8,2,1,7]
[7,4,2,5,3,1,6,8]=>[3,5,4,7,1,2,6,8]
[8,3,6,2,5,4,1,7]=>[4,5,6,8,3,1,2,7]
[5,4,8,3,2,6,1,7]=>[6,3,8,5,4,2,1,7]
[3,5,8,2,4,6,1,7]=>[6,8,3,2,5,4,1,7]
[6,4,7,8,2,3,1,5]=>[3,8,2,6,1,4,7,5]
[5,8,3,6,4,2,1,7]=>[2,4,6,8,5,1,3,7]
[4,8,6,2,5,3,1,7]=>[3,5,6,4,1,8,2,7]
[1,6,4,3,2,8,7,5]=>[1,3,4,6,7,2,8,5]
[1,5,3,2,8,4,7,6]=>[1,3,5,8,2,7,4,6]
[5,7,4,3,1,2,6,8]=>[3,1,4,7,5,2,6,8]
[2,8,7,3,5,1,4,6]=>[5,2,7,1,3,4,8,6]
[7,3,8,6,4,1,2,5]=>[4,1,6,8,2,7,3,5]
[6,1,2,7,3,8,5,4]=>[6,1,7,5,8,2,3,4]
[2,1,7,4,3,8,6,5]=>[2,1,4,7,6,8,3,5]
[6,1,4,3,8,2,7,5]=>[6,8,4,1,7,3,2,5]
[5,1,3,2,8,7,4,6]=>[5,3,1,7,2,4,8,6]
[1,8,4,2,7,6,5,3]=>[1,4,8,5,6,7,3,2]
[1,8,3,7,2,6,5,4]=>[1,7,8,5,6,2,3,4]
[5,1,4,8,3,7,2,6]=>[5,7,8,1,4,2,3,6]
[2,1,6,8,5,4,7,3]=>[2,1,7,5,8,6,4,3]
[6,1,5,7,8,2,4,3]=>[6,8,4,2,1,5,7,3]
[8,3,1,6,7,2,5,4]=>[3,8,7,5,1,2,6,4]
[7,4,8,6,1,3,2,5]=>[6,3,1,8,4,7,2,5]
[4,7,6,1,2,5,3,8]=>[6,1,5,4,2,7,3,8]
[3,7,6,1,5,2,4,8]=>[6,5,3,2,1,7,4,8]
[1,5,4,8,3,2,7,6]=>[1,3,8,5,4,7,2,6]
[7,3,6,1,2,5,4,8]=>[6,1,7,5,2,3,4,8]
[5,4,7,1,3,2,6,8]=>[7,3,1,5,4,2,6,8]
[5,7,4,8,2,1,3,6]=>[2,8,1,7,5,3,4,6]
[4,6,8,2,5,1,3,7]=>[5,8,1,4,2,6,3,7]
[7,4,6,2,1,5,3,8]=>[2,6,5,7,1,4,3,8]
[1,2,6,3,8,5,7,4]=>[1,2,6,7,8,3,5,4]
[1,5,2,6,8,4,7,3]=>[1,5,7,8,2,6,4,3]
[5,7,2,3,8,1,4,6]=>[8,7,2,1,5,4,3,6]
[6,4,7,5,8,1,2,3]=>[8,1,2,6,7,4,5,3]
[7,4,8,5,1,6,3,2]=>[5,3,8,6,7,2,1,4]
[5,8,3,6,1,7,4,2]=>[6,4,7,8,5,2,1,3]
[8,6,4,2,1,7,5,3]=>[2,4,6,5,8,7,1,3]
[7,4,2,1,5,8,6,3]=>[2,4,7,6,3,8,5,1]
[7,6,4,1,8,5,2,3]=>[4,6,2,5,7,8,1,3]
[1,6,4,8,7,5,3,2]=>[1,3,5,7,6,2,8,4]
[6,3,1,2,8,4,7,5]=>[3,1,6,8,7,2,4,5]
[7,5,1,3,2,8,6,4]=>[5,3,1,7,6,8,4,2]
[4,7,1,2,5,8,6,3]=>[7,1,6,4,2,8,5,3]
[6,8,4,1,2,7,5,3]=>[4,1,8,5,7,6,3,2]
[7,5,8,1,2,6,4,3]=>[8,1,4,6,7,2,5,3]
[7,4,8,1,6,3,5,2]=>[8,5,6,7,3,1,4,2]
[5,8,2,1,7,3,6,4]=>[2,8,7,6,5,3,1,4]
[3,6,1,8,2,4,7,5]=>[6,8,3,2,7,1,4,5]
[1,3,8,7,6,2,5,4]=>[1,6,3,5,2,7,8,4]
[5,4,1,8,7,3,2,6]=>[4,3,5,7,2,1,8,6]
[3,5,1,8,7,2,4,6]=>[5,7,3,2,1,4,8,6]
[4,6,1,8,3,7,2,5]=>[6,7,8,4,2,1,3,5]
[4,7,1,2,8,6,3,5]=>[7,1,6,4,3,8,2,5]
[5,8,4,1,7,6,2,3]=>[4,8,1,6,5,7,2,3]
[7,6,8,1,5,4,2,3]=>[8,4,2,5,1,7,6,3]
[8,6,1,7,5,4,3,2]=>[6,3,4,5,8,7,2,1]
[7,1,5,8,6,4,3,2]=>[7,3,4,6,1,8,5,2]
[5,1,8,7,3,6,4,2]=>[5,4,6,7,1,2,8,3]
[4,1,8,7,6,2,5,3]=>[4,6,5,1,2,7,8,3]
[3,1,8,7,6,5,2,4]=>[3,5,1,2,6,7,8,4]
[1,6,4,5,2,3,7,8]=>[1,5,2,6,4,3,7,8]
[1,7,4,5,2,3,6,8]=>[1,5,2,7,4,3,6,8]
[1,7,3,5,2,4,6,8]=>[1,5,7,2,3,4,6,8]
[1,6,3,5,2,4,7,8]=>[1,5,6,2,3,4,7,8]
[1,6,3,4,2,5,7,8]=>[1,4,6,3,2,5,7,8]
[1,7,3,4,2,5,6,8]=>[1,4,7,3,2,5,6,8]
[1,8,6,7,3,4,2,5]=>[1,4,7,3,2,8,6,5]
[1,8,5,7,3,4,2,6]=>[1,4,7,3,8,2,5,6]
[1,7,3,4,2,6,5,8]=>[1,4,7,3,6,2,5,8]
[1,5,2,8,4,7,3,6]=>[1,5,7,8,2,3,4,6]
[1,4,2,8,5,7,3,6]=>[1,4,7,2,8,3,5,6]
[1,7,3,5,2,6,4,8]=>[1,5,7,6,3,2,4,8]
[1,8,4,7,3,5,2,6]=>[1,5,7,8,3,2,4,6]
[1,7,3,6,2,5,4,8]=>[1,6,7,5,2,3,4,8]
[1,7,3,6,2,4,5,8]=>[1,6,7,2,4,3,5,8]
[1,7,4,6,2,3,5,8]=>[1,6,2,7,3,4,5,8]
[1,8,5,6,2,3,4,7]=>[1,6,2,3,8,5,4,7]
[1,8,5,6,2,4,3,7]=>[1,6,4,2,8,5,3,7]
[1,3,2,8,5,6,4,7]=>[1,3,2,6,8,5,4,7]
[1,4,2,8,5,6,3,7]=>[1,4,6,2,8,5,3,7]
[1,5,2,8,4,6,3,7]=>[1,5,6,8,2,4,3,7]
[1,6,2,8,4,5,3,7]=>[1,6,5,8,4,2,3,7]
[8,1,2,4,5,3,6,7]=>[8,1,5,2,4,3,6,7]
[8,6,4,7,2,1,3,5]=>[2,7,1,6,3,8,4,5]
[1,6,4,7,2,8,3,5]=>[1,7,8,6,3,4,2,5]
[1,4,7,3,5,8,2,6]=>[1,8,7,4,3,2,5,6]
[8,4,6,2,3,5,1,7]=>[5,6,2,8,3,4,1,7]
[5,4,8,2,3,6,1,7]=>[6,8,2,5,4,3,1,7]
[7,4,8,5,2,3,1,6]=>[3,5,2,8,7,4,1,6]
[3,8,6,2,4,5,1,7]=>[5,6,3,2,4,8,1,7]
[4,8,6,2,3,5,1,7]=>[5,6,2,4,3,8,1,7]
[1,7,5,3,4,8,2,6]=>[1,8,5,3,7,2,4,6]
[1,7,6,4,8,2,3,5]=>[1,8,2,6,3,7,4,5]
[5,8,7,4,1,2,3,6]=>[4,1,2,7,5,3,8,6]
[6,8,5,3,4,1,2,7]=>[4,1,5,3,8,6,2,7]
[6,8,3,7,2,1,4,5]=>[2,7,8,1,4,6,3,5]
[8,5,1,6,3,7,2,4]=>[5,8,7,3,6,2,1,4]
[6,1,3,7,4,8,2,5]=>[6,8,1,7,2,3,4,5]
[4,1,7,3,5,8,2,6]=>[4,8,7,1,3,2,5,6]
[7,1,6,4,8,2,3,5]=>[7,8,2,6,3,1,4,5]
[1,8,5,7,2,3,4,6]=>[1,7,2,3,8,4,5,6]
[6,1,5,8,2,3,4,7]=>[6,8,2,3,1,5,4,7]
[5,1,7,3,8,2,4,6]=>[5,8,7,2,1,4,3,6]
[6,1,5,7,8,2,3,4]=>[6,8,2,3,1,5,7,4]
[7,4,8,6,1,2,3,5]=>[6,1,2,8,4,7,3,5]
[3,8,7,5,1,2,4,6]=>[5,1,3,2,7,4,8,6]
[3,7,6,1,2,4,5,8]=>[6,1,3,2,4,7,5,8]
[4,7,6,1,2,3,5,8]=>[6,1,2,4,3,7,5,8]
[1,6,5,8,2,3,4,7]=>[1,8,2,3,6,5,4,7]
[6,5,8,4,1,2,3,7]=>[4,1,2,8,6,5,3,7]
[8,5,7,4,1,2,3,6]=>[4,1,2,7,8,3,5,6]
[1,5,7,4,8,2,3,6]=>[1,8,2,7,5,3,4,6]
[7,6,4,8,2,1,3,5]=>[2,8,1,6,3,7,4,5]
[7,6,2,3,8,1,4,5]=>[8,6,2,1,4,7,3,5]
[7,4,8,5,1,6,2,3]=>[5,8,1,6,7,2,3,4]
[8,6,2,3,1,7,4,5]=>[3,6,2,8,1,7,4,5]
[8,6,4,1,2,7,3,5]=>[4,1,6,8,3,7,2,5]
[1,7,2,8,6,3,4,5]=>[1,7,6,3,4,8,2,5]
[7,6,1,3,8,2,4,5]=>[6,7,2,1,4,8,3,5]
[7,5,8,1,3,6,2,4]=>[8,6,1,2,7,3,5,4]
[5,4,1,8,2,3,6,7]=>[4,5,1,8,2,3,6,7]
[1,4,8,7,2,3,5,6]=>[1,7,2,4,3,5,8,6]
[1,5,8,7,2,3,4,6]=>[1,7,2,3,5,4,8,6]
[6,5,1,8,2,3,4,7]=>[5,6,1,3,8,2,4,7]
[5,7,1,3,8,2,4,6]=>[7,8,1,2,5,4,3,6]
[7,6,8,1,5,2,3,4]=>[8,5,2,3,1,7,6,4]
[7,1,5,8,6,2,3,4]=>[7,6,2,3,1,8,5,4]
[6,1,8,2,7,3,4,5]=>[6,8,7,3,4,1,2,5]
[4,1,8,7,2,3,5,6]=>[4,7,2,1,3,5,8,6]
[5,1,8,7,2,3,4,6]=>[5,7,2,3,1,4,8,6]
[1,8,7,6,4,5,3,2]=>[1,3,5,6,4,7,8,2]
[1,8,7,3,6,5,4,2]=>[1,4,5,6,7,3,8,2]
[7,1,5,8,3,4,2,6]=>[7,4,8,3,1,2,5,6]
[7,1,4,3,2,5,6,8]=>[7,3,4,1,2,5,6,8]
[6,4,2,3,8,5,7,1]=>[7,4,2,6,8,3,5,1]
[6,4,2,7,5,8,3,1]=>[3,8,4,6,7,1,5,2]
[2,4,1,7,5,8,3,6]=>[4,2,8,1,7,3,5,6]
[7,1,4,6,5,2,3,8]=>[7,5,2,1,6,4,3,8]
[7,1,4,6,5,8,2,3]=>[7,8,2,1,6,4,5,3]
[7,1,4,6,3,8,2,5]=>[7,8,6,1,2,4,3,5]
[7,1,4,3,2,5,8,6]=>[7,3,4,1,2,8,5,6]
[7,1,4,6,5,2,8,3]=>[7,5,6,1,8,4,3,2]
[7,1,4,6,5,3,8,2]=>[7,8,5,1,6,4,3,2]
[7,1,4,6,5,3,2,8]=>[7,3,5,1,6,4,2,8]
[6,4,2,7,5,3,8,1]=>[8,4,6,5,7,3,2,1]
[3,4,7,2,6,8,5,1]=>[5,8,3,4,7,1,6,2]
[3,4,7,1,6,8,2,5]=>[7,8,3,4,2,1,6,5]
[3,4,7,1,6,8,5,2]=>[7,5,3,4,8,1,6,2]
[2,4,1,7,5,3,6,8]=>[4,2,5,1,7,3,6,8]
[3,4,1,7,8,6,2,5]=>[4,6,3,1,2,8,7,5]
[6,4,2,3,8,5,1,7]=>[5,4,1,8,6,3,2,7]
[6,4,2,7,5,8,1,3]=>[8,4,1,6,7,2,5,3]
[6,4,2,7,5,3,1,8]=>[3,5,4,7,6,2,1,8]
[3,4,7,2,6,8,1,5]=>[8,7,3,4,1,2,6,5]
[5,4,7,3,6,8,2,1]=>[2,8,7,5,4,3,6,1]
[3,4,7,2,6,5,1,8]=>[5,6,3,4,7,1,2,8]
[4,8,3,2,5,6,1,7]=>[6,3,8,4,2,5,1,7]
[4,8,7,3,5,1,2,6]=>[5,1,7,4,3,2,8,6]
[4,8,7,1,3,5,2,6]=>[7,5,1,4,3,2,8,6]
[4,8,3,1,2,6,5,7]=>[3,1,8,4,6,2,5,7]
[3,4,7,1,6,2,5,8]=>[7,6,3,4,2,1,5,8]
[3,4,7,1,6,2,8,5]=>[7,6,3,4,8,1,2,5]
[3,4,7,2,6,5,8,1]=>[8,7,3,4,6,2,5,1]
[4,8,3,1,2,6,7,5]=>[3,1,8,4,7,2,6,5]
[5,8,1,6,3,4,2,7]=>[8,4,6,3,5,1,2,7]
[6,8,5,1,3,7,2,4]=>[5,8,2,1,7,6,3,4]
[6,8,5,1,3,4,7,2]=>[5,8,2,3,7,6,4,1]
[5,8,3,4,2,6,7,1]=>[7,4,8,3,5,2,6,1]
[5,4,7,3,6,2,8,1]=>[8,6,7,5,4,3,2,1]
[5,4,7,2,6,1,8,3]=>[6,7,8,5,4,2,1,3]
[6,4,3,7,5,1,2,8]=>[5,1,4,7,6,2,3,8]
[6,4,3,7,5,1,8,2]=>[5,7,4,8,6,1,2,3]
[6,2,4,3,1,5,8,7]=>[3,4,6,1,2,5,8,7]
[3,8,7,4,1,5,2,6]=>[4,7,3,5,2,1,8,6]
[2,4,7,3,6,1,5,8]=>[6,2,7,4,1,3,5,8]
[5,8,3,2,1,6,4,7]=>[2,3,8,6,5,1,4,7]
[5,8,7,4,3,1,2,6]=>[3,1,4,7,5,2,8,6]
[5,4,7,3,6,2,1,8]=>[2,6,7,5,4,3,1,8]
[7,3,8,2,1,6,5,4]=>[2,8,7,5,6,1,3,4]
[7,4,3,8,5,2,1,6]=>[2,5,4,8,7,3,1,6]
[6,5,2,8,4,3,1,7]=>[3,4,8,5,6,2,1,7]
[4,3,2,8,6,5,1,7]=>[5,3,4,2,6,8,1,7]
[4,3,8,7,5,1,6,2]=>[5,7,4,3,6,2,8,1]
[3,2,5,8,6,1,4,7]=>[6,3,2,1,5,8,4,7]
[8,4,3,7,5,2,6,1]=>[6,5,4,7,8,3,2,1]
[4,3,7,8,5,1,2,6]=>[5,1,4,3,8,2,7,6]
[5,3,7,8,4,1,2,6]=>[4,1,8,5,2,3,7,6]
[6,2,5,8,3,1,4,7]=>[3,8,6,2,1,5,4,7]
[6,2,4,8,3,1,5,7]=>[3,8,6,1,2,4,5,7]
[5,2,3,8,4,1,6,7]=>[4,8,1,5,3,2,6,7]
[5,3,8,7,4,1,6,2]=>[4,7,6,5,1,2,8,3]
[5,3,2,8,6,4,1,7]=>[4,3,6,5,1,8,2,7]
[7,5,3,8,4,2,1,6]=>[2,4,8,5,7,3,1,6]
[8,7,5,3,6,2,4,1]=>[4,6,5,2,7,3,8,1]
[8,6,5,3,7,2,4,1]=>[4,7,5,2,6,8,3,1]
[7,5,4,3,8,2,6,1]=>[6,8,4,5,7,2,3,1]
[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]
[7,4,6,3,8,2,5,1]=>[5,8,6,7,2,4,3,1]
[7,5,6,3,8,2,4,1]=>[4,8,6,2,7,5,3,1]
[8,5,6,3,7,2,4,1]=>[4,7,6,2,8,5,3,1]
[7,4,6,3,5,2,8,1]=>[8,5,6,7,3,4,2,1]
[8,4,6,3,5,2,7,1]=>[7,5,6,8,3,4,2,1]
[8,4,7,3,5,2,6,1]=>[6,5,7,8,3,2,4,1]
[8,5,7,3,4,2,6,1]=>[6,4,7,3,8,2,5,1]
[7,5,8,4,3,2,6,1]=>[6,3,4,8,7,2,5,1]
[6,5,8,4,3,2,7,1]=>[7,3,4,8,6,5,2,1]
[6,5,8,3,4,2,7,1]=>[7,4,8,3,6,5,2,1]
[7,5,8,3,4,2,6,1]=>[6,4,8,3,7,2,5,1]
[7,5,8,4,6,2,3,1]=>[3,6,2,8,7,4,5,1]
[7,4,8,3,6,2,5,1]=>[5,6,8,7,2,3,4,1]
[7,4,8,3,5,2,6,1]=>[6,5,8,7,3,2,4,1]
[6,4,8,3,5,2,7,1]=>[7,5,8,6,3,4,2,1]
[6,4,7,3,5,2,8,1]=>[8,5,7,6,3,4,2,1]
[5,4,8,3,7,2,6,1]=>[6,7,8,5,4,2,3,1]
[6,5,8,3,7,2,4,1]=>[4,7,8,2,6,5,3,1]
[6,5,8,4,7,2,3,1]=>[3,7,2,8,6,5,4,1]
[6,5,8,4,7,3,2,1]=>[2,3,7,8,6,5,4,1]
[6,4,7,3,8,2,5,1]=>[5,8,7,6,2,4,3,1]
[5,4,7,3,8,2,6,1]=>[6,8,7,5,4,2,3,1]
[5,4,6,3,8,2,7,1]=>[7,8,6,5,4,3,2,1]
[5,3,6,2,4,7,8,1]=>[8,6,5,2,3,4,7,1]
[5,3,6,1,4,8,7,2]=>[6,7,5,1,3,4,8,2]
[5,3,7,2,4,6,8,1]=>[8,7,5,2,3,4,6,1]
[4,3,1,5,6,8,7,2]=>[3,4,7,2,5,6,8,1]
[4,2,1,5,8,6,3,7]=>[2,4,6,1,5,8,3,7]
[4,2,1,5,8,6,7,3]=>[2,4,7,1,5,8,6,3]
[4,2,1,5,8,7,6,3]=>[2,4,6,1,5,7,8,3]
[4,3,1,5,7,8,6,2]=>[3,4,6,2,5,8,7,1]
[4,3,1,7,5,8,6,2]=>[3,4,6,2,8,7,1,5]
[6,7,3,1,4,8,2,5]=>[3,7,8,2,1,6,4,5]
[5,3,7,1,4,8,2,6]=>[7,8,5,1,3,2,4,6]
[4,3,1,5,7,8,2,6]=>[3,4,8,2,5,1,7,6]
[3,2,1,8,5,4,6,7]=>[2,3,1,5,8,4,6,7]
[3,2,1,8,5,7,4,6]=>[2,3,1,7,8,4,5,6]
[3,2,1,8,7,5,4,6]=>[2,3,1,5,7,4,8,6]
[5,2,7,1,8,4,3,6]=>[7,5,4,8,2,3,1,6]
[6,7,2,1,8,4,3,5]=>[2,7,4,8,3,6,1,5]
[6,7,2,1,8,4,5,3]=>[2,7,5,8,4,6,1,3]
[3,2,1,8,5,6,4,7]=>[2,3,1,6,8,5,4,7]
[3,2,1,8,6,5,4,7]=>[2,3,1,5,6,8,4,7]
[4,3,1,6,7,8,5,2]=>[3,4,5,2,8,6,7,1]
[4,2,1,6,8,7,5,3]=>[2,4,5,1,7,6,8,3]
[4,2,1,6,8,5,7,3]=>[2,4,7,1,8,6,5,3]
[4,2,1,6,8,5,3,7]=>[2,4,5,1,8,6,3,7]
[5,2,6,1,8,4,3,7]=>[6,5,4,8,2,1,3,7]
[5,2,6,1,8,7,4,3]=>[6,5,4,7,2,1,8,3]
[5,2,6,1,8,7,3,4]=>[6,5,7,3,2,1,8,4]
[5,2,6,1,8,3,4,7]=>[6,5,8,3,2,1,4,7]
[4,2,1,6,8,3,7,5]=>[2,4,8,1,7,6,3,5]
[4,3,1,6,7,8,2,5]=>[3,4,8,2,1,6,7,5]
[6,7,3,1,5,8,2,4]=>[3,7,8,1,2,6,5,4]
[4,2,1,7,8,6,3,5]=>[2,4,6,1,3,8,7,5]
[3,2,1,8,7,6,4,5]=>[2,3,1,6,4,7,8,5]
[3,2,1,8,6,4,7,5]=>[2,3,1,6,8,7,5,4]
[3,2,1,8,6,4,5,7]=>[2,3,1,6,4,8,5,7]
[3,2,1,8,4,6,5,7]=>[2,3,1,8,6,4,5,7]
[3,2,1,8,4,6,7,5]=>[2,3,1,8,7,4,6,5]
[3,2,1,8,4,7,6,5]=>[2,3,1,8,6,7,4,5]
[3,2,1,8,7,4,6,5]=>[2,3,1,7,6,4,8,5]
[4,2,1,7,8,3,6,5]=>[2,4,8,1,6,3,7,5]
[5,2,7,1,8,3,6,4]=>[7,5,8,6,2,3,1,4]
[6,7,2,1,8,3,5,4]=>[2,7,8,5,3,6,1,4]
[5,2,7,1,8,3,4,6]=>[7,5,8,3,2,4,1,6]
[4,2,1,7,8,3,5,6]=>[2,4,8,1,3,5,7,6]
[3,2,1,8,4,5,7,6]=>[2,3,1,8,4,7,5,6]
[7,5,2,8,6,3,4,1]=>[4,5,7,2,6,8,3,1]
[7,4,8,6,2,5,3,1]=>[3,5,6,8,4,7,1,2]
[7,3,8,6,2,4,5,1]=>[5,6,8,3,4,7,2,1]
[7,4,3,1,8,2,5,6]=>[3,4,7,8,2,5,1,6]
[7,4,2,8,5,6,1,3]=>[6,4,1,7,8,5,2,3]
[7,3,8,5,2,4,6,1]=>[6,5,8,3,7,4,2,1]
[7,3,8,4,5,6,2,1]=>[2,6,7,8,4,5,3,1]
[6,3,8,2,4,5,1,7]=>[5,8,6,2,4,3,1,7]
[6,3,8,2,5,7,4,1]=>[4,7,8,6,3,1,5,2]
[6,4,3,8,1,5,2,7]=>[8,5,4,6,1,3,2,7]
[6,3,7,8,2,4,1,5]=>[4,8,6,2,1,3,7,5]
[5,6,7,3,8,2,4,1]=>[4,8,7,2,5,6,3,1]
[5,4,7,2,6,8,1,3]=>[8,7,1,5,4,2,6,3]
[5,3,8,2,4,6,7,1]=>[7,8,5,2,3,4,6,1]
[6,3,8,2,4,7,5,1]=>[5,7,8,3,6,1,4,2]
[5,7,4,2,6,8,1,3]=>[8,4,1,7,5,2,6,3]
[6,4,8,2,7,5,1,3]=>[5,7,2,8,6,1,4,3]
[6,5,3,1,4,2,7,8]=>[3,5,4,2,6,1,7,8]
[5,7,4,2,6,1,3,8]=>[6,4,1,7,5,2,3,8]
[5,6,4,2,3,8,1,7]=>[8,4,2,6,5,3,1,7]
[5,6,3,7,8,2,4,1]=>[4,8,6,2,5,3,7,1]
[5,6,3,8,2,4,7,1]=>[7,8,6,2,5,3,4,1]
[6,3,7,2,4,5,1,8]=>[5,7,6,2,4,3,1,8]
[6,3,7,2,5,8,4,1]=>[4,8,7,6,3,1,5,2]
[5,3,6,8,2,4,7,1]=>[7,8,5,2,3,6,4,1]
[5,4,6,2,3,8,1,7]=>[8,6,2,5,4,3,1,7]
[5,3,6,7,8,2,4,1]=>[4,8,5,2,3,6,7,1]
[3,6,4,2,1,5,8,7]=>[2,4,3,6,1,5,8,7]
[3,5,8,6,4,2,1,7]=>[2,4,3,6,5,8,1,7]
[5,8,6,3,4,2,1,7]=>[2,4,6,3,5,8,1,7]
[5,6,3,4,2,1,8,7]=>[2,4,6,3,5,1,8,7]
[6,3,4,2,1,5,8,7]=>[2,4,6,3,1,5,8,7]
[5,6,4,2,1,3,8,7]=>[2,4,1,6,5,3,8,7]
[2,5,4,1,7,8,6,3]=>[4,2,5,6,3,8,7,1]
[2,7,8,5,4,1,6,3]=>[4,2,5,8,6,1,7,3]
[2,8,5,4,1,6,3,7]=>[4,2,5,8,6,1,3,7]
[2,6,3,8,5,4,1,7]=>[4,2,5,8,6,3,1,7]
[2,8,6,3,5,4,1,7]=>[4,2,5,6,1,8,3,7]
[5,8,6,4,2,1,3,7]=>[2,4,1,6,5,8,3,7]
[4,2,1,5,7,8,6,3]=>[2,4,6,1,5,8,7,3]
[2,7,8,6,3,5,4,1]=>[4,2,5,6,1,8,7,3]
[4,3,8,5,7,6,2,1]=>[2,6,4,3,7,8,1,5]
[7,6,2,1,8,4,3,5]=>[2,6,4,7,1,8,3,5]
[2,1,8,5,6,4,3,7]=>[2,1,4,6,8,5,3,7]
[4,2,1,8,5,6,3,7]=>[2,4,6,1,8,5,3,7]
[8,4,2,1,5,6,3,7]=>[2,4,8,6,3,5,1,7]
[2,5,6,3,8,4,1,7]=>[4,2,8,6,5,1,3,7]
[6,3,4,2,1,8,5,7]=>[2,4,6,3,8,1,5,7]
[3,7,8,5,6,4,2,1]=>[2,4,3,6,8,5,7,1]
[3,8,5,6,4,2,1,7]=>[2,4,3,6,8,5,1,7]
[3,6,4,2,1,8,5,7]=>[2,4,3,6,8,1,5,7]
[3,8,6,4,2,1,5,7]=>[2,4,3,6,1,8,5,7]
[3,7,8,6,4,2,1,5]=>[2,4,3,6,1,8,7,5]
[8,5,3,7,6,2,4,1]=>[4,6,5,3,7,8,2,1]
[7,6,2,4,1,8,5,3]=>[4,6,5,3,7,8,1,2]
[8,5,4,1,7,6,2,3]=>[4,5,2,8,6,7,1,3]
[7,6,2,3,8,5,4,1]=>[4,5,2,8,6,7,3,1]
[2,1,7,8,6,4,3,5]=>[2,1,4,6,3,8,7,5]
[2,1,6,4,3,7,8,5]=>[2,1,4,6,8,3,7,5]
[6,4,2,1,3,7,8,5]=>[2,4,1,6,8,3,7,5]
[6,3,7,8,4,2,1,5]=>[2,4,8,6,3,1,7,5]
[7,8,4,2,1,6,3,5]=>[2,4,8,6,1,3,7,5]
[5,7,6,2,3,8,4,1]=>[4,8,1,6,5,7,3,2]
[2,6,1,8,4,3,7,5]=>[6,2,4,8,7,1,3,5]
[2,6,1,7,5,8,4,3]=>[6,2,4,8,7,1,5,3]
[8,4,2,3,7,5,6,1]=>[6,4,2,8,7,5,3,1]
[8,5,7,6,2,1,4,3]=>[2,6,4,1,7,8,3,5]
[4,8,5,7,6,2,1,3]=>[2,6,1,4,7,8,3,5]
[4,7,6,2,1,3,8,5]=>[2,6,1,4,7,8,5,3]
[7,5,6,1,8,4,2,3]=>[6,4,2,8,7,5,1,3]
[2,7,5,8,4,3,6,1]=>[6,2,4,8,7,3,5,1]
[2,8,4,3,6,1,7,5]=>[6,2,4,8,7,3,1,5]
[6,4,7,8,3,2,1,5]=>[2,3,8,6,1,4,7,5]
[6,4,3,7,5,2,1,8]=>[2,5,4,7,6,1,3,8]
[6,5,3,2,8,4,1,7]=>[4,3,8,5,6,1,2,7]
[6,5,2,7,8,4,1,3]=>[4,8,2,5,6,1,7,3]
[6,4,3,2,5,8,1,7]=>[8,3,4,6,2,5,1,7]
[6,3,7,2,5,4,1,8]=>[4,5,7,6,3,1,2,8]
[6,3,2,7,5,4,1,8]=>[4,3,5,7,6,2,1,8]
[8,4,2,6,3,1,7,5]=>[3,6,4,8,7,1,2,5]
[1,5,3,7,4,2,8,6]=>[1,4,7,5,2,8,3,6]
[1,6,7,3,4,2,8,5]=>[1,4,7,3,8,6,2,5]
[8,6,5,2,3,1,7,4]=>[3,5,2,6,8,7,1,4]
[1,7,6,3,4,2,8,5]=>[1,4,6,3,7,8,5,2]
[1,8,6,3,2,5,7,4]=>[1,3,6,8,4,7,5,2]
[8,7,5,2,1,4,6,3]=>[2,5,7,3,6,4,8,1]
[7,8,5,2,1,4,6,3]=>[2,5,8,3,6,4,7,1]
[6,8,5,2,3,1,7,4]=>[3,5,2,8,7,6,4,1]
[5,8,6,2,3,1,7,4]=>[3,6,2,8,5,7,4,1]
[4,8,2,6,3,1,7,5]=>[3,6,8,4,7,1,2,5]
[3,2,8,6,4,1,7,5]=>[4,3,2,6,8,7,5,1]
[3,2,1,7,5,4,8,6]=>[2,3,1,5,7,8,4,6]
[4,1,3,7,5,2,8,6]=>[4,5,1,3,7,8,2,6]
[5,1,7,3,4,2,8,6]=>[5,4,7,3,1,8,2,6]
[7,1,6,3,2,5,8,4]=>[7,3,6,8,2,1,5,4]
[1,2,7,4,3,6,8,5]=>[1,2,4,7,8,3,6,5]
[6,1,8,2,4,5,7,3]=>[6,8,7,2,4,1,5,3]
[5,1,8,3,2,6,7,4]=>[5,3,8,7,1,2,6,4]
[3,2,8,7,1,5,6,4]=>[7,3,2,6,1,5,8,4]
[4,8,2,7,1,5,6,3]=>[7,8,6,4,1,5,2,3]
[5,8,7,2,1,4,6,3]=>[2,7,6,1,5,4,8,3]
[6,8,7,1,3,4,5,2]=>[7,5,1,3,4,6,8,2]
[7,8,6,1,3,4,5,2]=>[6,5,1,3,4,8,7,2]
[1,7,8,2,4,5,6,3]=>[1,8,6,2,4,5,7,3]
[8,6,7,1,3,4,5,2]=>[7,5,1,3,4,8,6,2]
[7,6,8,1,3,4,5,2]=>[8,5,1,3,4,7,6,2]
[6,5,8,2,3,1,7,4]=>[3,8,2,7,6,5,1,4]
[1,6,8,3,2,5,7,4]=>[1,3,8,7,2,6,5,4]
[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,2,6,4]
[8,4,2,7,1,5,6,3]=>[7,4,8,6,1,5,3,2]
[7,4,2,8,1,5,6,3]=>[8,4,7,6,1,5,3,2]
[6,4,2,8,3,1,7,5]=>[3,8,4,6,7,1,2,5]
[5,4,2,3,8,1,7,6]=>[8,4,2,5,3,7,1,6]
[4,5,2,3,1,6,8,7]=>[3,5,2,4,1,6,8,7]
[7,4,2,1,3,6,8,5]=>[2,4,1,7,8,3,6,5]
[8,4,2,1,3,6,7,5]=>[2,4,1,8,7,3,6,5]
[1,5,3,2,4,7,8,6]=>[1,3,5,2,4,8,7,6]
[8,5,1,3,2,6,7,4]=>[5,3,1,8,7,4,6,2]
[5,6,1,3,4,2,8,7]=>[6,4,1,3,5,2,8,7]
[4,6,2,1,5,3,8,7]=>[2,6,5,4,1,3,8,7]
[4,7,2,1,3,6,8,5]=>[2,7,1,4,8,3,6,5]
[5,7,1,3,2,6,8,4]=>[7,3,1,8,5,2,6,4]
[6,7,1,2,4,5,8,3]=>[7,1,8,2,4,6,5,3]
[8,6,1,2,4,5,7,3]=>[6,1,8,3,4,7,5,2]
[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]
[8,7,1,2,4,5,6,3]=>[7,1,6,2,4,5,8,3]
[7,8,1,2,4,5,6,3]=>[8,1,6,2,4,5,7,3]
[5,8,1,3,2,6,7,4]=>[8,3,1,7,5,2,6,4]
[4,8,2,1,3,6,7,5]=>[2,8,1,4,7,3,6,5]
[4,1,3,2,5,7,8,6]=>[4,3,1,2,5,8,7,6]
[5,1,2,4,3,7,8,6]=>[5,1,4,2,3,8,7,6]
[5,4,8,1,2,3,7,6]=>[8,1,2,5,4,7,3,6]
[1,4,7,6,3,2,5,8]=>[1,3,6,4,2,7,5,8]
[4,8,3,2,7,6,1,5]=>[6,3,7,4,2,8,1,5]
[4,3,8,2,7,1,6,5]=>[7,8,4,3,6,1,2,5]
[1,4,7,3,6,2,5,8]=>[1,6,7,4,2,3,5,8]
[4,3,2,8,1,7,6,5]=>[8,3,4,2,6,7,1,5]
[4,1,8,3,7,2,5,6]=>[4,7,8,1,2,5,3,6]
[4,1,8,7,3,2,5,6]=>[4,3,7,1,2,5,8,6]
[4,7,8,1,2,5,3,6]=>[8,1,5,4,2,3,7,6]
[3,4,7,6,2,1,8,5]=>[2,6,3,4,7,8,5,1]
[3,4,2,7,1,6,8,5]=>[7,4,3,2,8,1,6,5]
[2,3,6,7,4,1,8,5]=>[4,2,3,7,8,6,1,5]
[2,6,3,4,7,8,1,5]=>[8,2,6,3,1,4,7,5]
[2,6,7,8,3,4,1,5]=>[4,2,8,3,1,6,7,5]
[3,1,7,8,4,2,5,6]=>[3,4,1,8,2,5,7,6]
[4,1,3,2,8,7,5,6]=>[4,3,1,2,7,5,8,6]
[3,7,8,2,6,4,1,5]=>[4,6,3,8,2,1,7,5]
[4,2,3,8,1,6,7,5]=>[8,4,2,3,7,1,6,5]
[4,3,1,8,2,5,7,6]=>[3,4,8,2,1,7,5,6]
[1,3,6,7,4,2,5,8]=>[1,4,3,7,2,6,5,8]
[3,2,7,8,4,1,6,5]=>[4,3,2,8,6,1,7,5]
[4,2,8,6,3,1,7,5]=>[3,6,4,1,8,7,5,2]
[3,7,2,4,8,6,1,5]=>[6,8,3,1,2,7,4,5]
[3,2,7,4,8,1,6,5]=>[8,3,2,7,6,1,4,5]
[1,3,6,4,7,2,5,8]=>[1,7,3,6,2,4,5,8]
[3,2,4,7,1,8,6,5]=>[7,3,2,4,6,8,1,5]
[3,7,4,2,6,8,1,5]=>[8,4,3,7,1,2,6,5]
[3,7,4,6,2,8,1,5]=>[8,6,3,7,1,4,2,5]
[4,7,1,5,8,2,3,6]=>[7,8,2,4,1,3,5,6]
[3,7,6,4,8,2,1,5]=>[2,8,3,6,1,7,4,5]
[3,1,7,4,8,2,5,6]=>[3,8,1,7,2,5,4,6]
[2,6,7,3,8,4,1,5]=>[4,2,8,7,3,6,1,5]
[2,3,6,4,7,1,8,5]=>[7,2,3,6,8,4,1,5]
[8,7,5,2,6,3,4,1]=>[4,5,7,2,6,3,8,1]
[8,6,5,2,7,3,4,1]=>[4,5,6,3,8,7,2,1]
[7,4,8,5,6,3,2,1]=>[2,3,6,7,8,5,4,1]
[3,4,6,7,8,5,1,2]=>[5,1,3,4,8,6,7,2]
[1,2,6,4,7,5,8,3]=>[1,2,8,6,7,4,5,3]
[3,1,7,5,4,2,6,8]=>[3,4,1,5,7,2,6,8]
[6,3,8,5,4,7,1,2]=>[7,1,6,5,8,3,4,2]
[1,6,2,5,4,7,8,3]=>[1,6,8,5,2,4,7,3]
[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]
[1,2,6,4,8,5,7,3]=>[1,2,7,6,8,4,5,3]
[7,8,3,1,4,2,5,6]=>[3,8,4,2,1,5,7,6]
[4,8,1,5,2,3,6,7]=>[8,5,2,4,1,3,6,7]
[7,4,1,5,2,3,6,8]=>[4,7,1,5,2,3,6,8]
[5,6,1,8,4,3,2,7]=>[6,3,4,8,5,1,2,7]
[5,1,8,6,4,3,2,7]=>[5,3,4,6,1,8,2,7]
[5,1,6,3,8,7,2,4]=>[5,7,6,2,1,3,8,4]
[6,1,2,5,8,3,7,4]=>[6,1,8,7,2,5,3,4]
[6,1,8,7,4,3,2,5]=>[6,3,4,7,2,1,8,5]
[7,1,2,5,4,8,6,3]=>[7,1,6,5,2,8,4,3]
[1,2,7,5,8,3,6,4]=>[1,2,8,6,7,3,5,4]
[4,1,6,3,7,5,2,8]=>[4,5,7,1,6,2,3,8]
[1,3,6,7,8,5,2,4]=>[1,5,3,2,8,6,7,4]
[1,2,6,4,7,8,5,3]=>[1,2,5,8,6,3,7,4]
[4,1,6,3,7,8,2,5]=>[4,8,6,1,2,3,7,5]
[3,1,6,4,8,2,7,5]=>[3,8,1,6,7,4,2,5]
[7,8,4,1,6,3,2,5]=>[4,3,8,6,1,2,7,5]
[4,1,6,3,8,7,2,5]=>[4,7,6,1,2,3,8,5]
[7,5,1,8,4,3,2,6]=>[5,3,4,7,8,1,2,6]
[6,5,1,7,4,3,2,8]=>[5,3,4,6,7,2,1,8]
[4,1,8,5,2,3,7,6]=>[4,5,2,1,8,7,3,6]
[4,1,6,8,3,7,2,5]=>[4,7,8,1,2,6,3,5]
[5,4,6,1,3,8,2,7]=>[6,8,1,5,4,3,2,7]
[6,5,8,1,4,3,2,7]=>[8,3,4,1,6,5,2,7]
[1,3,5,7,6,8,2,4]=>[1,8,3,2,5,7,6,4]
[1,3,5,7,6,2,8,4]=>[1,6,3,7,5,8,4,2]
[1,3,5,7,2,6,8,4]=>[1,7,3,8,5,2,6,4]
[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8]
[1,3,5,7,6,2,4,8]=>[1,6,3,2,5,7,4,8]
[1,3,5,7,4,6,8,2]=>[1,8,3,7,5,4,6,2]
[1,3,5,7,4,6,2,8]=>[1,6,3,7,5,4,2,8]
[1,3,5,7,4,2,6,8]=>[1,4,3,7,5,2,6,8]
[1,3,5,4,7,2,6,8]=>[1,7,3,5,4,2,6,8]
[1,3,5,4,7,8,2,6]=>[1,8,3,5,4,2,7,6]
[1,3,5,4,7,2,8,6]=>[1,7,3,5,4,8,2,6]
[1,3,5,7,4,2,8,6]=>[1,4,3,7,5,8,2,6]
[1,3,5,7,4,8,2,6]=>[1,8,3,7,5,2,4,6]
[1,3,5,7,4,8,6,2]=>[1,6,3,8,5,7,2,4]
[1,3,5,7,8,4,6,2]=>[1,6,3,8,5,4,7,2]
[1,3,5,7,8,4,2,6]=>[1,4,3,8,5,2,7,6]
[1,3,5,2,7,8,6,4]=>[1,5,3,6,2,8,7,4]
[1,3,5,7,2,8,6,4]=>[1,7,3,6,5,8,2,4]
[1,3,5,7,8,2,6,4]=>[1,8,3,6,5,2,7,4]
[1,6,3,2,7,4,8,5]=>[1,3,6,7,8,2,4,5]
[3,5,1,6,2,8,7,4]=>[5,6,3,7,1,2,8,4]
[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]
[2,6,1,7,4,3,8,5]=>[6,2,4,7,8,1,3,5]
[1,4,7,3,5,2,8,6]=>[1,5,7,4,3,8,2,6]
[1,3,7,5,2,4,8,6]=>[1,5,3,2,7,8,4,6]
[2,5,7,4,3,8,1,6]=>[8,2,4,7,5,1,3,6]
[2,5,3,7,4,8,1,6]=>[8,2,5,7,3,1,4,6]
[1,4,7,2,3,8,6,5]=>[1,7,2,4,6,8,3,5]
[2,4,7,3,1,8,6,5]=>[3,2,7,4,6,8,1,5]
[1,4,6,3,8,2,7,5]=>[1,8,6,4,7,3,2,5]
[1,3,5,2,8,7,6,4]=>[1,5,3,6,2,7,8,4]
[1,4,7,3,8,2,6,5]=>[1,8,7,4,6,2,3,5]
[2,5,1,7,8,4,6,3]=>[5,2,6,8,1,4,7,3]
[3,2,6,7,8,1,5,4]=>[8,3,2,5,1,6,7,4]
[4,3,6,7,8,2,1,5]=>[2,8,4,3,1,6,7,5]
[3,5,2,7,8,4,1,6]=>[4,8,3,5,1,2,7,6]
[1,5,7,4,8,3,2,6]=>[1,3,8,7,5,2,4,6]
[2,5,1,6,8,4,7,3]=>[5,2,7,8,1,6,4,3]
[4,6,2,1,7,8,3,5]=>[2,6,8,4,3,1,7,5]
[5,3,6,4,7,8,2,1]=>[2,8,5,6,3,4,7,1]
[3,5,2,6,8,4,7,1]=>[7,5,3,8,2,6,4,1]
[2,5,4,6,8,7,1,3]=>[7,2,1,5,4,6,8,3]
[1,3,6,2,8,7,5,4]=>[1,6,3,5,7,2,8,4]
[1,4,6,3,8,7,2,5]=>[1,7,6,4,2,3,8,5]
[2,5,7,4,3,8,6,1]=>[6,2,4,8,5,7,1,3]
[1,5,7,2,4,8,6,3]=>[1,7,6,2,5,8,4,3]
[4,6,3,7,2,8,5,1]=>[5,8,7,4,6,1,3,2]
[4,3,6,7,8,2,5,1]=>[5,8,4,3,2,6,7,1]
[1,4,7,3,8,6,2,5]=>[1,6,8,4,3,7,2,5]
[2,5,4,7,8,6,1,3]=>[6,2,1,5,4,8,7,3]
[3,2,6,7,8,5,1,4]=>[5,3,2,1,8,6,7,4]
[1,3,7,2,8,6,5,4]=>[1,7,3,5,6,8,2,4]
[5,1,6,8,2,4,3,7]=>[5,8,4,2,1,6,3,7]
[5,3,7,8,2,4,1,6]=>[4,8,5,2,3,1,7,6]
[8,5,3,7,2,4,1,6]=>[4,7,5,2,8,1,3,6]
[8,2,4,7,3,1,5,6]=>[3,7,8,1,2,5,4,6]
[2,4,7,8,3,1,5,6]=>[3,2,8,4,1,5,7,6]
[6,3,1,5,8,2,4,7]=>[3,6,8,1,2,5,4,7]
[6,5,3,4,2,8,1,7]=>[8,4,5,3,6,2,1,7]
[5,2,4,3,8,1,6,7]=>[8,5,4,2,3,1,6,7]
[3,2,4,8,1,5,6,7]=>[8,3,2,4,1,5,6,7]
[3,2,4,6,8,1,5,7]=>[8,3,2,4,1,6,5,7]
[8,1,5,7,3,2,4,6]=>[8,3,7,2,1,4,5,6]
[8,4,6,7,2,3,1,5]=>[3,7,2,8,1,4,6,5]
[4,6,7,8,2,3,1,5]=>[3,8,2,4,1,6,7,5]
[7,4,6,8,2,3,1,5]=>[3,8,2,7,1,4,6,5]
[7,2,4,8,3,1,5,6]=>[3,8,7,1,2,5,4,6]
[5,3,8,7,2,4,1,6]=>[4,7,5,2,3,1,8,6]
[2,4,8,7,3,1,5,6]=>[3,2,7,4,1,5,8,6]
[4,6,8,7,2,3,1,5]=>[3,7,2,4,1,6,8,5]
[8,7,4,6,2,3,1,5]=>[3,6,2,7,1,4,8,5]
[5,6,8,7,2,3,1,4]=>[3,7,2,1,5,6,8,4]
[6,4,8,7,2,3,1,5]=>[3,7,2,6,1,4,8,5]
[3,1,7,4,2,8,6,5]=>[3,4,1,7,6,8,2,5]
[3,2,8,4,1,7,6,5]=>[4,3,2,8,6,7,1,5]
[7,6,4,8,2,3,1,5]=>[3,8,2,6,1,7,4,5]
[5,7,6,8,2,3,1,4]=>[3,8,2,1,5,7,6,4]
[4,7,6,8,2,3,1,5]=>[3,8,2,4,1,7,6,5]
[8,6,4,7,2,3,1,5]=>[3,7,2,6,1,8,4,5]
[8,2,3,7,4,1,6,5]=>[4,7,1,8,6,2,3,5]
[2,3,7,8,4,1,6,5]=>[4,2,3,8,6,1,7,5]
[3,7,4,8,2,5,1,6]=>[5,8,3,7,2,1,4,6]
[2,3,7,4,1,6,8,5]=>[4,2,3,7,8,1,6,5]
[8,1,6,4,2,3,7,5]=>[8,4,2,6,7,1,3,5]
[4,7,8,6,2,3,1,5]=>[3,6,2,4,1,8,7,5]
[2,4,7,3,1,5,8,6]=>[3,2,7,4,1,8,5,6]
[6,3,1,7,4,2,8,5]=>[3,6,4,7,8,2,1,5]
[8,5,7,6,2,3,1,4]=>[3,6,2,1,7,8,4,5]
[7,5,8,6,2,3,1,4]=>[3,6,2,1,8,7,4,5]
[7,1,6,4,2,3,8,5]=>[7,4,2,6,8,1,3,5]
[3,1,7,6,4,2,8,5]=>[3,4,1,6,7,8,5,2]
[4,8,7,6,2,3,1,5]=>[3,6,2,4,1,7,8,5]
[6,8,7,5,2,3,1,4]=>[3,5,2,1,7,6,8,4]
[4,3,6,1,5,8,7,2]=>[6,7,4,3,1,5,8,2]
[4,3,6,5,1,8,7,2]=>[5,6,4,3,7,2,8,1]
[4,6,3,5,1,8,7,2]=>[5,7,6,4,3,1,8,2]
[4,6,3,1,5,8,7,2]=>[3,6,7,4,2,5,8,1]
[4,1,6,5,3,8,7,2]=>[4,7,5,1,6,3,8,2]
[4,6,1,5,3,8,7,2]=>[6,7,5,4,1,3,8,2]
[2,6,5,3,1,8,7,4]=>[3,2,5,6,7,4,8,1]
[2,6,5,1,8,7,3,4]=>[5,2,6,1,7,3,8,4]
[2,6,5,8,1,7,3,4]=>[8,2,7,3,6,5,1,4]
[2,6,5,8,1,3,7,4]=>[8,2,1,7,6,5,3,4]
[2,6,5,8,3,1,7,4]=>[3,2,8,7,6,5,1,4]
[2,6,5,3,8,1,7,4]=>[8,2,5,6,7,4,1,3]
[4,6,1,5,8,3,7,2]=>[6,7,8,4,1,5,3,2]
[4,1,6,5,8,3,7,2]=>[4,7,8,1,6,5,3,2]
[1,4,6,5,8,3,7,2]=>[1,7,8,4,6,5,3,2]
[4,1,6,5,8,7,3,2]=>[4,3,7,1,6,5,8,2]
[2,6,5,3,8,7,1,4]=>[7,2,5,1,6,3,8,4]
[6,4,3,8,7,1,5,2]=>[7,5,4,6,1,3,8,2]
[6,4,8,3,7,1,5,2]=>[7,5,8,6,1,4,3,2]
[2,6,8,5,3,7,1,4]=>[7,2,5,1,8,6,3,4]
[4,6,8,1,5,7,3,2]=>[8,3,7,4,1,6,5,2]
[4,6,1,8,5,7,3,2]=>[6,3,7,4,8,1,5,2]
[4,1,6,8,5,7,3,2]=>[4,3,7,1,8,6,5,2]
[1,4,6,8,5,7,3,2]=>[1,3,7,4,8,6,5,2]
[1,4,6,8,5,3,7,2]=>[1,7,5,4,8,6,3,2]
[4,6,1,8,5,3,7,2]=>[6,7,5,4,8,1,3,2]
[2,6,8,5,3,1,7,4]=>[3,2,5,8,7,6,4,1]
[2,6,8,5,1,7,3,4]=>[5,2,8,1,7,6,3,4]
[4,6,8,3,5,1,7,2]=>[5,7,8,4,3,6,1,2]
[4,6,8,3,1,5,7,2]=>[3,8,7,4,2,6,5,1]
[4,6,3,1,8,5,7,2]=>[3,6,7,4,8,2,5,1]
[4,6,3,8,1,5,7,2]=>[8,7,6,4,1,3,5,2]
[4,6,3,8,5,7,1,2]=>[7,1,6,4,8,3,5,2]
[4,3,6,8,1,5,7,2]=>[8,7,4,3,1,6,5,2]
[4,3,6,1,8,5,7,2]=>[6,7,4,3,8,1,5,2]
[4,3,1,6,8,5,7,2]=>[3,4,7,2,8,6,5,1]
[4,1,3,6,8,7,5,2]=>[4,5,1,3,7,6,8,2]
[4,3,6,1,8,7,5,2]=>[6,5,4,3,7,1,8,2]
[4,3,6,8,1,7,5,2]=>[8,5,4,3,7,6,1,2]
[6,5,2,8,7,3,1,4]=>[3,7,5,2,6,1,8,4]
[6,5,2,8,7,1,3,4]=>[7,5,1,3,6,2,8,4]
[6,2,5,8,7,1,3,4]=>[7,6,1,3,2,5,8,4]
[6,2,5,8,7,3,1,4]=>[3,7,6,2,1,5,8,4]
[4,6,3,8,1,7,5,2]=>[8,5,7,4,6,2,1,3]
[4,6,3,1,8,7,5,2]=>[3,6,5,4,7,2,8,1]
[4,1,6,3,8,7,5,2]=>[4,5,7,1,6,2,8,3]
[1,4,6,3,8,7,5,2]=>[1,5,7,4,6,2,8,3]
[4,1,6,8,3,7,5,2]=>[4,5,7,1,8,6,2,3]
[4,6,1,8,3,7,5,2]=>[6,5,7,4,8,1,2,3]
[4,6,8,1,3,7,5,2]=>[8,5,1,4,7,6,3,2]
[6,2,8,5,7,3,1,4]=>[3,7,6,2,8,1,5,4]
[6,2,8,5,7,1,3,4]=>[7,6,1,3,8,2,5,4]
[2,4,8,7,1,5,3,6]=>[7,2,5,4,1,3,8,6]
[4,2,8,7,5,3,1,6]=>[3,5,4,1,7,2,8,6]
[6,4,1,8,7,5,3,2]=>[4,3,6,5,7,2,8,1]
[6,1,4,8,7,5,3,2]=>[6,3,5,1,7,4,8,2]
[1,6,4,8,7,3,5,2]=>[1,5,7,6,3,4,8,2]
[6,4,1,8,7,3,5,2]=>[4,6,5,7,1,2,8,3]
[4,2,8,7,5,1,3,6]=>[5,4,1,2,7,3,8,6]
[2,4,8,7,3,5,1,6]=>[5,2,7,4,3,1,8,6]
[2,3,4,7,1,8,6,5]=>[7,2,3,4,6,8,1,5]
[2,3,4,7,8,5,6,1]=>[6,2,3,4,8,5,7,1]
[2,3,6,7,4,8,5,1]=>[5,2,3,8,7,6,1,4]
[2,5,6,3,7,8,1,4]=>[8,2,6,1,5,3,7,4]
[2,3,7,1,4,8,6,5]=>[7,2,3,1,6,8,4,5]
[2,6,1,3,7,8,5,4]=>[6,2,1,5,8,3,7,4]
[2,5,6,7,4,8,1,3]=>[8,2,1,7,5,6,4,3]
[2,3,7,8,4,5,6,1]=>[6,2,3,8,4,5,7,1]
[2,6,7,3,4,8,5,1]=>[5,2,8,1,7,6,4,3]
[1,5,3,2,6,4,7,8]=>[1,3,5,6,2,4,7,8]
[1,5,3,2,6,7,4,8]=>[1,3,5,7,2,6,4,8]
[1,7,3,2,8,5,4,6]=>[1,3,7,5,8,4,2,6]
[1,7,3,2,5,8,4,6]=>[1,3,7,8,2,4,5,6]
[1,3,2,7,5,4,8,6]=>[1,3,2,5,7,8,4,6]
[6,5,2,4,3,7,1,8]=>[7,5,4,2,6,3,1,8]
[6,4,2,5,3,7,1,8]=>[7,4,6,5,3,2,1,8]
[5,4,7,6,2,3,1,8]=>[3,6,2,5,4,7,1,8]
[3,6,4,8,2,1,5,7]=>[2,8,3,6,1,4,5,7]
[1,6,2,8,5,3,4,7]=>[1,6,5,3,8,2,4,7]
[4,6,2,3,7,5,1,8]=>[5,7,1,4,6,3,2,8]
[4,7,2,3,6,5,1,8]=>[5,6,1,4,7,3,2,8]
[4,7,2,3,5,6,1,8]=>[6,7,2,4,3,5,1,8]
[5,3,2,7,4,6,1,8]=>[6,3,5,7,2,4,1,8]
[5,3,2,6,4,7,1,8]=>[7,3,5,6,2,4,1,8]
[4,6,2,3,5,7,1,8]=>[7,6,2,4,3,5,1,8]
[3,5,2,1,6,8,4,7]=>[2,5,3,8,1,6,4,7]
[1,5,2,6,8,4,3,7]=>[1,5,4,8,2,6,3,7]
[1,5,7,2,8,4,3,6]=>[1,7,4,8,5,3,2,6]
[3,5,2,1,8,6,4,7]=>[2,5,3,6,1,8,4,7]
[3,6,8,4,2,1,5,7]=>[2,4,3,8,1,6,5,7]
[4,3,2,6,1,8,5,7]=>[6,3,4,2,8,1,5,7]
[1,5,8,2,7,4,3,6]=>[1,8,4,7,5,3,2,6]
[1,7,2,3,4,8,6,5]=>[1,7,2,3,6,8,4,5]
[6,8,2,3,4,1,7,5]=>[4,8,2,3,7,6,1,5]
[4,1,8,2,3,5,7,6]=>[4,8,2,1,3,7,5,6]
[2,3,1,8,4,5,7,6]=>[3,2,1,8,4,7,5,6]
[7,3,2,1,4,5,8,6]=>[2,3,7,1,4,8,5,6]
[7,8,1,4,3,5,2,6]=>[8,5,4,1,3,2,7,6]
[7,1,2,3,4,6,8,5]=>[7,1,2,3,8,4,6,5]
[6,1,2,3,4,8,7,5]=>[6,1,2,3,7,4,8,5]
[1,8,2,3,4,7,6,5]=>[1,8,2,3,6,7,4,5]
[8,1,2,3,4,6,7,5]=>[8,1,2,3,7,4,6,5]
[2,8,1,3,5,4,7,6]=>[8,2,1,5,3,7,4,6]
[8,7,1,4,3,5,2,6]=>[7,5,4,1,3,2,8,6]
[8,3,2,1,4,5,7,6]=>[2,3,8,1,4,7,5,6]
[3,8,2,1,5,6,4,7]=>[2,8,3,6,1,5,4,7]
[3,8,2,1,6,5,4,7]=>[2,8,3,5,6,1,4,7]
[1,7,8,3,5,4,2,6]=>[1,4,5,8,2,3,7,6]
[7,4,1,8,3,5,2,6]=>[4,7,5,8,1,3,2,6]
[8,4,1,7,3,5,2,6]=>[4,8,5,7,1,3,2,6]
[3,8,4,6,2,1,5,7]=>[2,6,3,8,1,4,5,7]
[8,4,2,5,3,1,6,7]=>[3,5,4,8,1,2,6,7]
[8,5,2,4,3,1,6,7]=>[3,4,5,1,8,2,6,7]
[8,3,2,5,4,1,6,7]=>[4,3,5,8,1,2,6,7]
[4,3,2,5,1,8,6,7]=>[5,3,4,2,1,8,6,7]
[3,5,2,4,1,8,6,7]=>[4,5,3,2,1,8,6,7]
[2,4,7,8,1,5,3,6]=>[8,2,5,4,1,3,7,6]
[1,8,7,3,5,4,2,6]=>[1,4,5,7,2,3,8,6]
[5,1,8,2,7,4,3,6]=>[5,8,4,7,1,3,2,6]
[5,1,7,2,8,4,3,6]=>[5,7,4,8,1,3,2,6]
[6,1,2,8,5,3,4,7]=>[6,1,5,3,8,2,4,7]
[6,3,2,1,8,4,5,7]=>[2,3,6,8,4,1,5,7]
[7,3,2,8,4,5,1,6]=>[5,3,7,8,4,1,2,6]
[2,7,8,4,3,5,1,6]=>[5,2,4,8,3,1,7,6]
[7,1,8,3,5,4,2,6]=>[7,4,5,8,2,3,1,6]
[7,8,2,3,4,6,1,5]=>[6,8,2,3,1,4,7,5]
[6,7,1,3,4,8,2,5]=>[7,8,1,3,2,6,4,5]
[6,8,1,3,4,7,2,5]=>[8,7,1,3,2,6,4,5]
[1,7,2,3,4,6,8,5]=>[1,7,2,3,8,4,6,5]
[1,6,2,3,4,8,7,5]=>[1,6,2,3,7,4,8,5]
[7,6,2,3,4,1,8,5]=>[4,6,2,3,7,8,5,1]
[8,6,2,3,4,1,7,5]=>[4,6,2,3,8,7,5,1]
[8,1,7,3,5,4,2,6]=>[8,4,5,7,2,3,1,6]
[8,3,2,7,4,5,1,6]=>[5,3,8,7,4,1,2,6]
[6,7,2,3,4,1,8,5]=>[4,7,2,3,8,6,1,5]
[7,6,2,3,4,8,1,5]=>[8,6,2,3,1,7,4,5]
[8,6,2,3,4,7,1,5]=>[7,6,2,3,1,8,4,5]
[6,3,4,8,7,5,1,2]=>[5,1,7,2,6,4,8,3]
[4,8,7,3,5,6,1,2]=>[6,1,7,4,3,5,8,2]
[4,8,7,5,3,6,1,2]=>[6,1,5,4,7,3,8,2]
[5,8,7,3,4,6,1,2]=>[6,1,7,3,5,4,8,2]
[5,8,4,2,1,6,7,3]=>[2,4,8,7,5,3,6,1]
[5,8,4,1,2,6,7,3]=>[4,1,8,7,5,3,6,2]
[5,3,7,2,6,1,8,4]=>[6,7,5,8,3,2,1,4]
[5,2,8,1,6,3,7,4]=>[8,5,6,7,2,1,3,4]
[5,8,2,1,4,7,6,3]=>[2,8,6,1,5,7,4,3]
[4,8,2,5,1,7,6,3]=>[5,8,6,4,2,7,1,3]
[7,8,4,1,2,6,5,3]=>[4,1,8,5,6,3,7,2]
[4,8,1,5,2,7,6,3]=>[8,5,6,4,1,7,2,3]
[5,8,1,2,4,7,6,3]=>[8,1,6,2,5,7,4,3]
[5,2,8,3,6,7,1,4]=>[7,5,8,1,2,3,6,4]
[3,8,7,6,2,4,1,5]=>[4,6,3,2,1,7,8,5]
[2,8,7,6,4,1,3,5]=>[4,2,1,6,3,7,8,5]
[7,8,2,6,5,1,3,4]=>[5,6,2,3,8,1,7,4]
[1,8,7,6,4,2,3,5]=>[1,4,2,6,3,7,8,5]
[2,8,7,6,3,1,4,5]=>[3,2,6,1,4,7,8,5]
[1,8,7,6,2,4,3,5]=>[1,6,4,2,3,7,8,5]
[1,8,7,6,3,4,2,5]=>[1,4,6,3,2,7,8,5]
[2,8,1,4,5,6,7,3]=>[8,2,7,1,4,5,6,3]
[2,1,7,3,6,5,8,4]=>[2,1,7,8,6,3,5,4]
[3,1,7,2,6,5,8,4]=>[3,7,1,8,6,2,5,4]
[3,2,7,1,6,5,8,4]=>[7,3,2,8,6,1,5,4]
[6,1,2,8,5,7,3,4]=>[6,1,7,3,8,2,5,4]
[6,2,1,8,5,7,3,4]=>[2,6,7,3,8,1,5,4]
[6,3,1,8,5,7,2,4]=>[3,6,7,1,8,2,5,4]
[6,4,2,1,7,5,8,3]=>[2,4,6,8,7,3,5,1]
[6,1,3,8,5,2,7,4]=>[6,5,1,8,7,3,4,2]
[2,3,7,1,6,8,5,4]=>[7,2,3,5,8,1,6,4]
[1,3,7,2,6,8,5,4]=>[1,7,3,5,8,2,6,4]
[7,8,2,6,5,3,1,4]=>[3,5,6,1,8,2,7,4]
[3,2,6,7,5,8,1,4]=>[8,3,2,1,7,6,5,4]
[1,2,7,5,6,3,8,4]=>[1,2,6,8,7,5,3,4]
[2,8,7,6,4,3,1,5]=>[3,2,4,6,1,7,8,5]
[3,8,7,6,1,2,5,4]=>[6,1,3,5,2,7,8,4]
[3,8,7,6,2,1,5,4]=>[2,6,3,5,1,7,8,4]
[4,8,7,6,2,1,3,5]=>[2,6,1,4,3,7,8,5]
[4,8,7,6,1,3,2,5]=>[6,3,1,4,2,7,8,5]
[3,8,7,6,4,1,2,5]=>[4,1,3,6,2,7,8,5]
[7,8,3,6,5,1,2,4]=>[5,1,6,3,8,2,7,4]
[2,3,7,5,6,8,1,4]=>[8,2,3,1,7,5,6,4]
[3,8,7,6,4,2,1,5]=>[2,4,3,6,1,7,8,5]
[5,1,4,6,8,2,3,7]=>[5,8,2,1,4,6,3,7]
[1,7,6,3,5,4,8,2]=>[1,8,6,5,3,7,4,2]
[4,3,7,2,6,5,1,8]=>[5,6,4,3,7,1,2,8]
[3,4,6,1,5,7,2,8]=>[6,7,3,4,1,5,2,8]
[1,6,8,5,7,3,4,2]=>[1,4,7,3,8,6,5,2]
[2,4,1,5,8,6,3,7]=>[4,2,6,1,5,8,3,7]
[4,6,1,2,5,8,3,7]=>[6,1,8,4,2,5,3,7]
[5,6,7,2,1,4,8,3]=>[2,7,8,1,5,6,4,3]
[7,8,6,5,1,2,4,3]=>[5,1,4,2,6,8,7,3]
[1,3,6,5,7,8,2,4]=>[1,8,3,2,6,5,7,4]
[7,4,8,5,3,1,6,2]=>[3,5,8,6,7,1,2,4]
[6,8,5,2,4,1,7,3]=>[4,5,8,3,7,6,1,2]
[2,3,1,6,8,5,7,4]=>[3,2,1,7,8,6,5,4]
[7,3,2,5,1,4,8,6]=>[5,3,7,1,2,8,4,6]
[7,1,4,2,3,6,8,5]=>[7,4,2,1,8,3,6,5]
[1,5,8,3,4,6,7,2]=>[1,7,8,3,5,4,6,2]
[8,3,1,2,4,7,6,5]=>[3,1,8,2,6,7,4,5]
[2,3,8,1,6,5,4,7]=>[8,2,3,5,6,1,4,7]
[8,1,4,7,2,5,3,6]=>[8,7,5,1,2,3,4,6]
[3,5,2,4,1,7,8,6]=>[4,5,3,2,1,8,7,6]
[3,4,7,8,6,2,1,5]=>[2,6,3,4,1,8,7,5]
[3,4,8,6,2,7,1,5]=>[7,6,3,4,1,8,2,5]
[5,8,2,1,6,7,3,4]=>[2,8,7,3,5,1,6,4]
[5,7,2,8,6,4,3,1]=>[3,4,6,8,5,7,1,2]
[6,1,2,7,5,3,8,4]=>[6,1,5,7,8,2,4,3]
[7,3,2,8,6,4,1,5]=>[4,3,6,8,1,7,2,5]
[2,7,8,4,6,3,1,5]=>[3,2,6,8,1,4,7,5]
[1,4,5,7,2,6,8,3]=>[1,7,8,4,5,2,6,3]
[7,3,5,2,6,1,8,4]=>[6,5,7,8,3,2,1,4]
[8,5,2,3,6,1,7,4]=>[6,5,2,8,7,4,1,3]
[8,1,6,3,5,7,2,4]=>[8,7,6,2,3,1,5,4]
[2,8,6,4,3,7,1,5]=>[7,2,4,6,1,8,3,5]
[8,3,2,6,4,7,1,5]=>[7,3,8,6,1,2,4,5]
[2,3,8,7,6,5,1,4]=>[5,2,3,1,6,7,8,4]
[1,2,8,7,3,6,5,4]=>[1,2,7,5,6,3,8,4]
[4,2,8,7,3,6,1,5]=>[6,4,7,2,1,3,8,5]
[4,5,8,7,1,2,6,3]=>[7,1,6,4,5,2,8,3]
[1,5,8,7,3,2,6,4]=>[1,3,7,6,5,2,8,4]
[4,5,8,7,3,2,1,6]=>[2,3,7,4,5,1,8,6]
[2,6,8,1,7,5,4,3]=>[8,2,4,5,7,6,1,3]
[3,6,8,4,7,2,1,5]=>[2,7,3,8,1,6,4,5]
[2,5,8,3,7,6,1,4]=>[6,2,7,3,5,8,1,4]
[3,2,8,4,7,6,1,5]=>[6,3,2,7,4,8,1,5]
[1,5,8,3,7,2,6,4]=>[1,7,8,6,5,2,3,4]
[3,5,8,4,7,2,1,6]=>[2,7,3,8,5,1,4,6]
[5,6,8,2,3,7,1,4]=>[7,8,2,1,5,6,3,4]
[1,6,8,4,2,7,5,3]=>[1,4,8,5,7,6,3,2]
[1,5,8,4,2,7,6,3]=>[1,4,8,6,5,7,3,2]
[1,5,8,2,3,7,6,4]=>[1,8,2,6,5,7,3,4]
[2,1,8,4,3,7,6,5]=>[2,1,4,8,6,7,3,5]
[2,5,8,4,3,7,1,6]=>[7,2,4,8,5,1,3,6]
[5,6,8,4,1,2,7,3]=>[4,1,8,7,5,6,3,2]
[5,6,8,1,3,2,7,4]=>[8,3,1,7,5,6,2,4]
[1,6,8,4,3,2,7,5]=>[1,3,4,8,7,6,2,5]
[5,6,8,4,3,2,1,7]=>[2,3,4,8,5,6,1,7]
[7,1,2,8,6,5,4,3]=>[7,1,4,5,6,8,2,3]
[7,1,4,8,6,2,5,3]=>[7,6,5,1,2,8,4,3]
[7,3,1,8,6,2,5,4]=>[3,7,6,5,1,8,2,4]
[7,2,4,8,3,6,1,5]=>[6,7,8,2,1,3,4,5]
[7,1,4,8,3,2,6,5]=>[7,3,8,1,6,2,4,5]
[7,4,5,8,3,2,1,6]=>[2,3,8,7,4,1,5,6]
[1,6,2,8,7,5,4,3]=>[1,6,4,5,7,2,8,3]
[1,6,4,8,7,2,5,3]=>[1,7,5,6,2,4,8,3]
[3,6,4,8,7,2,1,5]=>[2,7,3,6,1,4,8,5]
[3,2,5,8,7,6,1,4]=>[6,3,2,1,5,7,8,4]
[3,2,4,8,7,6,1,5]=>[6,3,2,4,1,7,8,5]
[3,1,5,8,7,2,6,4]=>[3,7,1,6,5,2,8,4]
[3,1,4,8,7,2,6,5]=>[3,7,1,4,6,2,8,5]
[1,6,4,8,2,7,5,3]=>[1,8,5,7,6,3,2,4]
[1,4,5,8,2,7,6,3]=>[1,8,6,4,5,7,2,3]
[2,4,5,8,3,7,1,6]=>[7,2,8,4,5,1,3,6]
[4,6,5,8,1,2,7,3]=>[8,1,7,4,6,5,2,3]
[1,6,4,8,3,2,7,5]=>[1,3,8,6,7,4,2,5]
[1,4,5,8,3,2,7,6]=>[1,3,8,4,5,7,2,6]
[7,6,1,4,8,2,5,3]=>[6,7,5,2,1,8,4,3]
[7,6,1,3,8,2,5,4]=>[6,7,2,5,1,8,3,4]
[7,6,3,4,8,2,1,5]=>[2,8,6,3,1,7,4,5]
[7,2,5,1,8,6,4,3]=>[5,7,4,6,2,8,1,3]
[7,2,5,3,8,6,1,4]=>[6,8,5,2,1,7,3,4]
[7,2,1,4,8,6,5,3]=>[2,7,5,1,6,8,4,3]
[7,2,1,3,8,6,5,4]=>[2,7,1,5,6,8,3,4]
[7,2,3,4,8,6,1,5]=>[6,8,1,3,2,7,4,5]
[7,3,5,4,8,2,1,6]=>[2,8,7,5,3,1,4,6]
[2,6,5,1,8,7,4,3]=>[5,2,4,6,7,3,8,1]
[2,3,5,4,8,7,1,6]=>[7,2,3,5,4,1,8,6]
[1,6,5,4,8,2,7,3]=>[1,8,7,5,6,4,2,3]
[1,6,5,3,8,2,7,4]=>[1,8,5,6,7,4,2,3]
[1,6,3,4,8,2,7,5]=>[1,8,6,3,7,4,2,5]
[1,3,5,4,8,2,7,6]=>[1,8,3,5,4,7,2,6]
[3,6,5,4,8,2,1,7]=>[2,8,3,5,6,4,1,7]
[7,6,5,2,3,8,1,4]=>[8,5,2,1,6,7,3,4]
[7,6,1,4,2,8,5,3]=>[6,4,5,3,7,8,2,1]
[7,6,1,2,3,8,5,4]=>[6,1,2,5,7,8,4,3]
[7,6,2,4,3,8,1,5]=>[8,6,4,2,1,7,3,5]
[7,1,5,4,2,8,6,3]=>[7,4,5,6,1,8,3,2]
[7,1,5,2,3,8,6,4]=>[7,5,2,6,1,8,3,4]
[7,1,2,4,3,8,6,5]=>[7,1,4,2,6,8,3,5]
[2,6,5,4,3,8,1,7]=>[8,2,4,5,6,3,1,7]
[7,6,1,4,3,2,8,5]=>[6,3,4,1,7,8,5,2]
[7,1,5,4,3,2,8,6]=>[7,3,4,5,1,8,2,6]
[3,4,2,6,7,8,1,5]=>[8,4,3,2,1,6,7,5]
[3,1,4,2,6,8,7,5]=>[3,4,1,2,7,6,8,5]
[8,3,4,2,6,1,7,5]=>[6,4,8,3,7,2,1,5]
[2,6,7,3,5,4,1,8]=>[4,2,5,7,1,6,3,8]
[2,7,8,3,5,4,1,6]=>[4,2,5,8,1,3,7,6]
[2,6,8,3,5,4,1,7]=>[4,2,5,8,1,6,3,7]
[4,7,1,2,8,5,3,6]=>[7,1,5,4,8,3,2,6]
[4,8,1,2,7,5,3,6]=>[8,1,5,4,7,3,2,6]
[2,1,6,3,7,5,4,8]=>[2,1,6,5,7,3,4,8]
[2,7,1,3,6,8,4,5]=>[7,2,1,8,4,3,6,5]
[6,7,3,2,8,1,4,5]=>[8,3,7,1,4,6,2,5]
[7,3,4,2,6,1,8,5]=>[6,4,7,3,8,2,1,5]
[7,4,1,2,8,5,3,6]=>[4,1,7,5,8,2,3,6]
[8,7,4,2,1,5,3,6]=>[2,4,7,5,3,1,8,6]
[7,4,1,2,6,5,3,8]=>[4,1,7,5,6,3,2,8]
[7,4,3,1,5,6,8,2]=>[3,4,7,8,1,5,6,2]
[6,7,4,1,5,8,3,2]=>[4,3,7,8,2,6,5,1]
[4,7,5,1,6,8,3,2]=>[5,3,7,4,8,2,6,1]
[4,5,3,1,7,6,8,2]=>[3,5,8,4,2,7,6,1]
[4,6,1,2,7,5,3,8]=>[6,1,5,4,7,2,3,8]
[2,7,1,3,6,5,4,8]=>[7,2,1,5,6,3,4,8]
[4,1,8,2,6,5,3,7]=>[4,8,5,1,6,2,3,7]
[4,6,1,2,8,5,3,7]=>[6,1,5,4,8,2,3,7]
[8,4,3,1,5,6,7,2]=>[3,4,8,7,1,5,6,2]
[4,5,3,1,8,6,7,2]=>[3,5,7,4,2,8,6,1]
[4,8,5,6,3,1,7,2]=>[3,6,7,4,8,5,2,1]
[5,1,3,4,8,6,7,2]=>[5,7,1,3,4,8,6,2]
[5,4,3,8,1,6,7,2]=>[8,7,4,5,3,1,6,2]
[8,5,3,4,1,6,7,2]=>[4,7,5,3,8,1,6,2]
[6,4,8,2,1,5,3,7]=>[2,8,5,6,1,4,3,7]
[6,7,3,2,5,1,4,8]=>[5,3,7,1,2,6,4,8]
[6,8,3,2,5,1,4,7]=>[5,3,8,1,2,6,4,7]
[5,7,1,4,6,8,3,2]=>[7,3,8,1,5,4,6,2]
[5,1,3,4,7,6,8,2]=>[5,8,1,3,4,7,6,2]
[6,1,4,2,7,5,3,8]=>[6,4,5,1,7,2,3,8]
[5,4,3,7,1,6,8,2]=>[7,8,4,5,3,1,6,2]
[6,7,5,4,1,8,3,2]=>[4,3,5,7,8,6,1,2]
[7,6,4,2,1,5,3,8]=>[2,4,6,5,3,7,1,8]
[8,2,7,6,5,4,1,3]=>[4,5,2,6,7,8,1,3]
[7,2,8,6,5,4,3,1]=>[3,4,5,6,8,7,2,1]
[8,7,2,6,5,4,1,3]=>[4,5,1,6,7,2,8,3]
[3,2,8,7,6,5,1,4]=>[5,3,2,1,6,7,8,4]
[4,8,7,6,5,3,1,2]=>[3,1,5,4,6,7,8,2]
[7,8,6,1,5,4,3,2]=>[6,3,4,5,1,8,7,2]
[7,3,8,6,5,4,2,1]=>[2,4,5,6,8,7,1,3]
[4,8,5,7,6,3,2,1]=>[2,3,6,4,7,8,1,5]
[3,8,7,4,6,5,2,1]=>[2,5,3,6,7,1,8,4]
[2,8,7,6,3,5,4,1]=>[4,2,5,6,1,7,8,3]
[8,5,6,1,3,2,4,7]=>[6,3,1,2,8,5,4,7]
[8,6,1,5,3,2,4,7]=>[6,3,5,2,1,8,4,7]
[7,8,1,5,3,2,4,6]=>[8,3,5,2,1,4,7,6]
[8,1,7,5,3,2,4,6]=>[8,3,5,2,7,4,1,6]
[8,6,1,4,5,2,3,7]=>[6,5,2,1,4,8,3,7]
[8,6,3,1,5,2,4,7]=>[3,6,5,1,2,8,4,7]
[8,4,6,1,5,2,3,7]=>[6,5,2,8,1,4,3,7]
[8,6,2,1,5,4,3,7]=>[2,6,4,5,1,8,3,7]
[8,5,2,6,1,4,3,7]=>[6,5,4,1,8,2,3,7]
[8,5,2,1,7,4,3,6]=>[2,5,4,8,7,1,3,6]
[7,8,2,1,5,4,3,6]=>[2,8,4,5,1,3,7,6]
[7,8,3,1,5,2,4,6]=>[3,8,5,1,2,4,7,6]
[8,2,7,5,1,3,4,6]=>[5,7,2,3,8,4,1,6]
[8,4,1,7,5,2,3,6]=>[4,8,1,5,7,3,2,6]
[8,2,7,1,5,4,3,6]=>[7,8,4,5,1,3,2,6]
[8,2,6,1,7,4,3,5]=>[6,8,4,7,3,2,1,5]
[8,1,7,4,3,2,6,5]=>[8,3,4,7,6,2,1,5]
[8,1,5,7,3,2,6,4]=>[8,3,7,6,1,2,5,4]
[5,7,8,1,3,2,6,4]=>[8,3,1,6,5,2,7,4]
[8,2,6,1,5,7,3,4]=>[6,8,7,3,1,2,5,4]
[5,8,1,6,7,2,3,4]=>[8,7,2,3,5,1,6,4]
[5,7,6,1,8,2,3,4]=>[6,7,1,3,5,8,2,4]
[6,7,2,5,1,8,3,4]=>[5,7,8,3,2,6,1,4]
[7,5,1,6,8,2,3,4]=>[5,7,1,3,8,2,6,4]
[6,5,7,1,8,2,3,4]=>[7,8,2,3,6,5,1,4]
[6,7,3,8,1,2,4,5]=>[8,1,7,2,4,6,3,5]
[7,5,4,1,8,2,3,6]=>[4,5,2,7,8,3,1,6]
[7,6,1,4,8,2,3,5]=>[6,7,1,2,3,8,4,5]
[8,1,6,4,7,2,3,5]=>[8,7,2,6,3,1,4,5]
[7,5,8,1,3,2,4,6]=>[8,3,1,2,7,4,5,6]
[7,8,4,1,3,2,5,6]=>[4,3,1,8,2,5,7,6]
[8,3,7,4,1,2,5,6]=>[4,1,7,8,3,5,2,6]
[8,5,1,7,3,2,4,6]=>[5,3,8,1,7,4,2,6]
[6,8,1,7,3,2,4,5]=>[8,3,7,2,4,6,1,5]
[7,1,8,4,3,6,2,5]=>[7,6,4,8,2,3,1,5]
[7,3,1,8,6,4,2,5]=>[3,7,4,6,1,8,2,5]
[8,3,1,7,4,6,2,5]=>[3,8,6,7,1,4,2,5]
[8,4,5,1,7,2,3,6]=>[5,7,2,8,4,3,1,6]
[5,6,8,1,7,2,3,4]=>[8,7,2,3,5,6,1,4]
[6,5,8,1,2,7,3,4]=>[8,1,7,3,6,5,2,4]
[7,3,1,8,5,6,2,4]=>[3,7,6,1,8,5,2,4]
[6,2,7,8,3,1,5,4]=>[3,8,6,5,2,1,7,4]
[5,8,1,7,3,2,6,4]=>[8,3,7,6,5,2,1,4]
[8,4,1,7,3,2,6,5]=>[4,3,8,7,6,1,2,5]
[8,3,4,7,1,2,6,5]=>[7,1,8,3,6,2,4,5]
[8,2,7,4,1,3,6,5]=>[4,7,2,8,6,3,1,5]
[7,4,8,2,1,3,6,5]=>[2,8,1,7,6,3,4,5]
[7,4,3,8,1,2,6,5]=>[8,1,4,7,6,2,3,5]
[8,2,3,6,7,1,5,4]=>[7,8,2,5,1,3,6,4]
[2,6,8,7,1,5,4,3]=>[7,2,4,5,1,6,8,3]
[7,8,5,2,3,6,4,1]=>[4,6,1,5,8,3,7,2]
[8,7,5,2,3,1,6,4]=>[3,5,2,7,6,4,8,1]
[6,8,5,2,3,4,7,1]=>[7,5,2,3,8,6,4,1]
[3,5,2,6,8,1,4,7]=>[8,5,3,1,2,6,4,7]
[3,5,2,4,6,8,1,7]=>[8,5,3,2,4,6,1,7]
[2,4,5,7,3,6,8,1]=>[8,2,7,4,5,3,6,1]
[2,4,5,3,6,8,1,7]=>[8,2,5,4,3,6,1,7]
[5,2,4,6,8,1,3,7]=>[8,5,1,2,4,6,3,7]
[5,1,3,4,6,8,2,7]=>[5,8,1,3,4,6,2,7]
[4,3,5,2,6,8,1,7]=>[8,5,4,3,2,6,1,7]
[4,3,5,7,2,8,1,6]=>[8,7,4,3,5,1,2,6]
[4,3,5,7,2,6,8,1]=>[8,7,4,3,5,2,6,1]
[4,6,3,7,2,5,8,1]=>[8,7,6,4,2,3,5,1]
[4,6,3,1,7,8,2,5]=>[3,6,8,4,1,2,7,5]
[4,3,5,1,7,8,2,6]=>[5,8,4,3,1,2,7,6]
[5,7,1,3,4,8,2,6]=>[7,8,1,3,5,2,4,6]
[5,7,1,3,4,6,8,2]=>[7,8,1,3,5,4,6,2]
[4,5,7,1,3,6,8,2]=>[7,8,1,4,5,3,6,2]
[4,3,6,7,1,5,8,2]=>[7,8,4,3,1,6,5,2]
[4,6,3,5,1,7,8,2]=>[5,8,6,4,3,1,7,2]
[4,6,3,5,7,2,8,1]=>[8,7,6,4,3,5,2,1]
[3,5,6,4,1,7,8,2]=>[4,6,3,8,5,2,7,1]
[3,1,5,6,7,4,8,2]=>[3,8,1,7,5,6,4,2]
[5,1,6,7,3,4,8,2]=>[5,8,7,3,1,6,4,2]
[6,4,7,1,3,5,8,2]=>[7,8,1,6,3,4,5,2]
[1,6,7,3,4,5,8,2]=>[1,8,7,3,4,6,5,2]
[2,6,7,4,5,8,1,3]=>[8,2,1,7,4,6,5,3]
[2,6,7,4,8,1,3,5]=>[8,2,1,7,3,6,4,5]
[5,3,6,1,2,7,8,4]=>[6,1,5,8,3,2,7,4]
[3,5,2,6,1,7,8,4]=>[6,5,3,8,2,1,7,4]
[3,5,2,6,7,4,8,1]=>[8,5,3,7,2,6,4,1]
[5,2,3,6,7,4,8,1]=>[8,5,2,7,3,6,4,1]
[5,2,3,6,1,7,8,4]=>[6,5,2,8,3,1,7,4]
[5,2,6,1,3,7,8,4]=>[6,5,1,8,2,3,7,4]
[4,2,6,7,3,5,8,1]=>[8,4,7,2,3,6,5,1]
[6,3,7,2,4,5,8,1]=>[8,7,6,2,4,3,5,1]
[3,5,7,2,8,1,4,6]=>[8,7,3,1,5,4,2,6]
[3,7,2,4,8,1,5,6]=>[8,7,3,2,1,5,4,6]
[7,2,4,6,8,1,3,5]=>[8,7,1,2,3,4,6,5]
[7,1,3,4,6,8,2,5]=>[7,8,1,3,2,4,6,5]
[3,7,2,4,6,8,1,5]=>[8,7,3,2,1,4,6,5]
[3,5,7,2,6,8,1,4]=>[8,7,3,1,5,2,6,4]
[6,3,7,2,5,8,1,4]=>[8,7,6,1,2,3,5,4]
[6,3,5,7,2,8,1,4]=>[8,7,6,1,3,5,2,4]
[6,3,5,7,2,4,8,1]=>[8,7,6,2,3,5,4,1]
[6,2,4,5,7,3,8,1]=>[8,6,7,2,4,5,3,1]
[6,2,4,5,1,7,8,3]=>[5,6,8,2,4,1,7,3]
[4,7,1,2,5,6,8,3]=>[7,1,8,4,2,5,6,3]
[2,6,7,5,8,1,3,4]=>[8,2,1,3,7,6,5,4]
[4,6,7,1,2,5,8,3]=>[7,1,8,4,2,6,5,3]
[5,6,2,4,7,3,8,1]=>[8,6,7,2,5,4,3,1]
[5,4,2,6,7,3,8,1]=>[8,4,5,7,3,6,2,1]
[5,4,2,6,1,7,8,3]=>[6,4,5,8,3,1,7,2]
[1,5,4,6,2,7,8,3]=>[1,6,8,5,4,2,7,3]
[5,6,4,1,2,7,8,3]=>[4,1,6,8,5,3,7,2]
[6,4,5,1,2,7,8,3]=>[5,1,8,6,4,2,7,3]
[6,3,5,1,7,8,2,4]=>[5,8,6,2,3,1,7,4]
[6,5,7,2,8,1,3,4]=>[8,7,1,3,6,5,2,4]
[6,5,7,1,3,4,8,2]=>[7,8,1,3,6,5,4,2]
[5,6,4,7,1,3,8,2]=>[7,8,1,6,5,4,3,2]
[5,4,6,3,1,7,8,2]=>[3,6,8,5,4,2,7,1]
[7,5,3,2,4,8,1,6]=>[8,3,5,2,7,1,4,6]
[8,4,5,2,6,1,3,7]=>[6,5,1,8,4,2,3,7]
[8,5,4,2,1,6,3,7]=>[2,4,5,8,6,1,3,7]
[8,5,3,4,1,6,2,7]=>[4,6,5,3,8,1,2,7]
[8,4,5,3,1,6,2,7]=>[3,5,6,8,4,2,1,7]
[7,5,4,2,1,8,3,6]=>[2,4,5,7,8,3,1,6]
[7,5,4,2,1,6,8,3]=>[2,4,5,7,8,1,6,3]
[7,4,5,3,1,6,8,2]=>[3,5,8,7,4,2,6,1]
[7,4,3,5,6,1,8,2]=>[6,8,4,7,3,5,1,2]
[5,6,3,7,4,1,8,2]=>[4,7,8,6,5,1,2,3]
[5,6,7,3,1,4,8,2]=>[3,7,8,2,5,6,4,1]
[6,7,3,4,1,5,8,2]=>[4,8,7,3,1,6,5,2]
[6,7,4,2,1,5,8,3]=>[2,4,7,8,3,6,5,1]
[5,6,7,3,1,8,2,4]=>[3,7,8,1,5,6,2,4]
[5,6,3,7,8,1,2,4]=>[8,1,6,2,5,3,7,4]
[5,6,3,7,2,4,8,1]=>[8,7,6,2,5,3,4,1]
[5,6,7,2,3,8,1,4]=>[8,7,2,1,5,6,3,4]
[7,4,5,2,8,1,3,6]=>[8,5,1,7,4,3,2,6]
[6,7,3,2,4,8,1,5]=>[8,3,7,2,1,6,4,5]
[7,6,4,2,1,3,8,5]=>[2,4,1,6,7,8,5,3]
[7,6,3,4,1,2,8,5]=>[4,1,6,3,7,8,5,2]
[7,6,3,2,4,1,8,5]=>[4,3,6,2,7,8,5,1]
[6,7,3,2,5,1,8,4]=>[5,3,7,8,2,6,1,4]
[6,5,3,2,7,8,1,4]=>[8,3,5,1,6,2,7,4]
[6,5,3,2,7,4,8,1]=>[8,3,5,6,7,4,2,1]
[6,4,5,2,7,3,8,1]=>[8,5,7,6,4,2,3,1]
[6,4,5,2,7,8,1,3]=>[8,5,1,6,4,2,7,3]
[7,4,5,2,6,1,8,3]=>[6,5,8,7,4,2,1,3]
[7,4,5,6,1,2,8,3]=>[6,1,8,7,4,5,2,3]
[7,5,6,2,1,3,8,4]=>[2,6,1,8,7,5,3,4]
[6,7,3,5,1,2,8,4]=>[5,1,7,8,3,6,2,4]
[5,6,7,4,1,2,8,3]=>[4,1,7,8,5,6,3,2]
[5,6,7,2,4,1,8,3]=>[4,7,8,2,5,6,1,3]
[5,6,4,2,7,8,1,3]=>[8,4,1,6,5,2,7,3]
[6,5,7,2,1,8,3,4]=>[2,7,8,3,6,5,1,4]
[6,5,7,2,1,4,8,3]=>[2,7,8,1,6,5,4,3]
[5,4,6,7,3,1,8,2]=>[3,7,8,5,4,6,2,1]
[5,7,8,3,6,4,1,2]=>[4,1,6,8,5,2,7,3]
[3,7,8,5,6,4,1,2]=>[4,1,3,6,8,5,7,2]
[3,7,8,5,6,1,4,2]=>[6,4,3,1,8,5,7,2]
[1,7,8,5,6,3,4,2]=>[1,4,6,3,8,5,7,2]
[1,7,5,8,6,3,4,2]=>[1,4,6,3,8,7,2,5]
[3,7,5,8,6,1,4,2]=>[6,4,3,1,8,7,2,5]
[3,7,5,8,6,4,1,2]=>[4,1,3,6,8,7,2,5]
[5,7,3,8,6,4,1,2]=>[4,1,6,8,5,7,3,2]
[7,3,8,5,6,4,1,2]=>[4,1,6,7,8,5,2,3]
[7,3,5,8,6,4,1,2]=>[4,1,6,8,3,7,5,2]
[3,5,7,8,6,4,1,2]=>[4,1,3,6,5,8,7,2]
[1,5,7,8,6,3,4,2]=>[1,4,6,3,5,8,7,2]
[1,5,7,8,3,6,4,2]=>[1,4,6,8,5,2,7,3]
[3,5,7,8,1,6,4,2]=>[8,4,3,6,5,1,7,2]
[5,3,7,8,1,6,4,2]=>[8,4,6,5,2,1,7,3]
[7,3,5,8,6,1,4,2]=>[6,4,8,3,1,7,5,2]
[7,3,8,5,6,1,4,2]=>[6,4,7,1,8,5,3,2]
[7,8,1,5,6,3,4,2]=>[8,4,6,3,1,5,7,2]
[7,1,8,5,6,3,4,2]=>[7,4,6,3,8,5,1,2]
[7,1,5,8,6,3,4,2]=>[7,4,6,3,1,8,5,2]
[5,1,7,8,3,6,4,2]=>[5,4,6,8,1,2,7,3]
[3,1,7,8,5,6,4,2]=>[3,4,1,6,8,5,7,2]
[1,3,7,8,5,6,4,2]=>[1,4,3,6,8,5,7,2]
[3,1,7,5,8,6,4,2]=>[3,4,1,6,8,7,2,5]
[5,1,7,3,8,6,4,2]=>[5,4,6,8,1,7,3,2]
[7,1,5,3,8,6,4,2]=>[7,4,6,5,1,8,2,3]
[7,1,5,8,3,6,4,2]=>[7,4,6,8,1,2,5,3]
[7,8,1,5,3,6,4,2]=>[8,4,6,5,1,2,7,3]
[7,8,3,5,1,6,4,2]=>[5,4,6,8,2,1,7,3]
[7,3,5,8,1,6,4,2]=>[8,4,6,7,2,1,5,3]
[5,3,7,1,8,6,4,2]=>[7,4,6,5,2,8,1,3]
[3,5,7,1,8,6,4,2]=>[7,4,3,6,5,8,1,2]
[1,7,5,3,8,6,4,2]=>[1,4,6,5,8,7,3,2]
[5,7,3,1,8,6,4,2]=>[3,7,4,6,5,8,2,1]
[5,7,3,8,6,1,4,2]=>[6,4,8,3,5,7,1,2]
[3,7,5,8,1,6,4,2]=>[8,4,3,6,7,1,5,2]
[1,7,5,8,3,6,4,2]=>[1,4,6,8,7,2,5,3]
[1,7,8,5,3,6,4,2]=>[1,4,6,5,8,2,7,3]
[3,7,8,5,1,6,4,2]=>[5,4,3,8,6,2,7,1]
[5,7,8,3,6,1,4,2]=>[6,4,8,1,5,3,7,2]
[5,7,8,6,3,1,4,2]=>[3,6,4,2,5,8,7,1]
[7,5,8,6,1,3,4,2]=>[6,4,1,3,8,7,2,5]
[5,7,8,1,6,3,4,2]=>[8,4,6,3,5,1,7,2]
[5,7,8,1,3,6,4,2]=>[8,4,1,6,5,3,7,2]
[3,7,8,1,5,6,4,2]=>[8,4,3,6,1,5,7,2]
[1,7,8,3,5,6,4,2]=>[1,4,6,8,2,5,7,3]
[1,7,3,8,5,6,4,2]=>[1,4,6,7,8,5,2,3]
[3,7,1,8,5,6,4,2]=>[7,4,3,6,8,5,1,2]
[5,7,1,8,3,6,4,2]=>[7,4,6,8,5,2,1,3]
[5,7,1,8,6,3,4,2]=>[7,4,6,3,5,8,1,2]
[7,5,1,8,6,3,4,2]=>[5,4,7,1,6,8,3,2]
[7,5,8,1,6,3,4,2]=>[8,4,6,3,7,1,5,2]
[7,8,5,1,6,3,4,2]=>[5,4,8,1,6,3,7,2]
[7,8,5,1,3,6,4,2]=>[5,4,2,8,6,3,7,1]
[7,5,8,1,3,6,4,2]=>[8,4,1,6,7,3,5,2]
[7,5,1,8,3,6,4,2]=>[5,4,7,6,8,1,3,2]
[7,5,1,3,8,6,4,2]=>[5,4,2,7,6,8,3,1]
[5,7,1,3,8,6,4,2]=>[7,4,1,6,5,8,3,2]
[3,7,1,5,8,6,4,2]=>[7,4,3,6,1,8,5,2]
[1,7,3,5,8,6,4,2]=>[1,4,6,8,3,7,5,2]
[1,5,3,7,8,6,4,2]=>[1,4,6,5,2,8,7,3]
[3,5,1,7,8,6,4,2]=>[5,4,3,6,1,8,7,2]
[5,3,1,7,8,6,4,2]=>[3,5,4,6,2,8,7,1]
[7,3,1,5,8,6,4,2]=>[3,7,4,6,2,8,5,1]
[7,3,1,8,5,6,4,2]=>[3,7,4,6,8,5,2,1]
[7,3,8,1,5,6,4,2]=>[8,4,6,7,1,5,2,3]
[7,8,3,1,5,6,4,2]=>[3,8,4,6,2,5,7,1]
[7,8,1,3,5,6,4,2]=>[8,4,1,6,3,5,7,2]
[7,1,8,3,5,6,4,2]=>[7,4,6,8,2,5,1,3]
[7,1,3,8,5,6,4,2]=>[7,4,1,6,8,5,3,2]
[7,1,3,5,8,6,4,2]=>[7,4,1,6,3,8,5,2]
[3,1,5,7,8,6,4,2]=>[3,4,1,6,5,8,7,2]
[5,7,3,4,6,8,1,2]=>[8,1,7,3,5,4,6,2]
[5,7,3,4,8,6,1,2]=>[6,1,8,2,5,7,4,3]
[5,7,3,4,8,1,6,2]=>[8,6,7,3,5,1,4,2]
[5,7,3,4,1,8,6,2]=>[4,6,8,2,5,7,1,3]
[5,7,3,4,1,6,8,2]=>[4,8,7,3,5,1,6,2]
[5,7,3,4,6,1,2,8]=>[6,1,7,3,5,4,2,8]
[7,3,5,6,1,2,8,4]=>[6,1,7,8,3,5,2,4]
[5,7,3,1,4,6,2,8]=>[3,7,6,2,5,4,1,8]
[5,7,3,1,4,6,8,2]=>[3,7,8,2,5,4,6,1]
[5,7,3,1,4,8,6,2]=>[3,7,6,2,5,8,4,1]
[5,7,3,1,4,8,2,6]=>[3,7,8,2,5,1,4,6]
[5,3,7,4,1,2,8,6]=>[4,1,7,5,2,8,3,6]
[5,3,7,4,1,2,6,8]=>[4,1,7,5,2,3,6,8]
[5,3,7,1,4,2,6,8]=>[7,4,5,1,3,2,6,8]
[5,3,7,1,4,2,8,6]=>[7,4,5,1,3,8,2,6]
[3,7,5,1,2,8,6,4]=>[5,1,3,7,6,8,4,2]
[7,8,3,5,1,2,6,4]=>[5,1,8,6,3,2,7,4]
[7,3,8,5,1,2,6,4]=>[5,1,8,7,6,3,4,2]
[7,3,5,8,1,2,6,4]=>[8,1,7,6,3,2,5,4]
[3,7,5,1,2,6,4,8]=>[5,1,3,7,6,4,2,8]
[3,7,5,1,2,6,8,4]=>[5,1,3,7,8,4,6,2]
[6,1,4,3,5,2,8,7]=>[6,5,4,1,3,2,8,7]
[2,5,7,3,8,4,1,6]=>[4,2,8,7,5,3,1,6]
[5,4,7,8,6,1,3,2]=>[6,3,1,5,4,8,7,2]
[7,5,6,2,8,3,1,4]=>[3,8,6,2,7,5,1,4]
[4,7,2,5,8,3,1,6]=>[3,8,7,4,1,2,5,6]
[6,2,4,5,1,3,8,7]=>[5,6,1,2,4,3,8,7]
[5,1,4,6,3,2,8,7]=>[5,3,6,1,4,2,8,7]
[3,5,6,2,4,1,8,7]=>[4,6,3,2,5,1,8,7]
[3,8,6,7,5,4,1,2]=>[4,1,3,5,7,8,6,2]
[6,2,7,8,3,4,1,5]=>[4,6,8,3,1,2,7,5]
[2,5,3,4,8,1,7,6]=>[8,2,5,3,4,7,1,6]
[8,7,1,2,5,3,4,6]=>[7,1,5,3,2,4,8,6]
[5,1,8,2,3,4,7,6]=>[5,8,2,3,1,7,4,6]
[5,4,7,6,2,8,1,3]=>[8,6,1,5,4,7,2,3]
[3,7,8,1,5,4,6,2]=>[8,6,3,5,1,4,7,2]
[7,1,3,4,6,8,5,2]=>[7,5,1,3,8,4,6,2]
[8,3,6,5,7,1,4,2]=>[7,4,8,1,6,3,5,2]
[5,8,7,1,4,6,2,3]=>[7,6,2,1,5,4,8,3]
[4,7,6,1,8,3,5,2]=>[6,5,7,4,1,8,3,2]
[4,7,2,6,3,8,5,1]=>[5,8,7,4,6,3,1,2]
[2,1,8,4,6,7,3,5]=>[2,1,7,8,3,4,6,5]
[4,7,8,6,3,1,2,5]=>[3,1,6,4,2,8,7,5]
[3,8,1,5,6,7,2,4]=>[8,7,3,2,1,5,6,4]
[6,7,2,4,8,5,3,1]=>[3,5,8,2,7,6,4,1]
[2,8,3,6,7,5,1,4]=>[5,2,7,3,8,1,6,4]
[8,2,1,7,6,3,5,4]=>[2,8,6,5,3,7,1,4]
[3,2,4,5,8,1,7,6]=>[8,3,2,4,5,7,1,6]
[7,4,6,3,2,1,8,5]=>[2,3,6,7,8,4,1,5]
[4,7,3,2,1,8,6,5]=>[2,3,7,4,6,8,1,5]
[6,4,7,5,2,3,8,1]=>[8,5,2,7,6,3,4,1]
[6,4,8,1,7,3,2,5]=>[8,3,7,6,2,4,1,5]
[4,8,7,2,3,1,5,6]=>[3,7,2,4,1,5,8,6]
[4,2,3,1,8,7,5,6]=>[3,4,2,1,7,5,8,6]
[7,6,8,1,3,5,2,4]=>[8,5,1,2,3,7,6,4]
[6,7,5,2,3,1,8,4]=>[3,5,2,7,8,6,4,1]
[4,7,2,6,5,1,8,3]=>[5,6,7,4,8,3,2,1]
[6,4,2,1,8,5,7,3]=>[2,4,6,7,8,3,5,1]
[7,2,1,5,6,8,4,3]=>[2,7,4,8,1,5,6,3]
[8,7,2,6,4,1,5,3]=>[4,6,7,5,2,3,8,1]
[6,7,8,2,5,3,1,4]=>[3,5,8,2,1,6,7,4]
[2,1,7,3,6,8,5,4]=>[2,1,7,5,8,3,6,4]
[2,1,5,7,8,4,6,3]=>[2,1,6,8,5,4,7,3]
[2,5,7,8,3,6,1,4]=>[6,2,8,1,5,3,7,4]
[6,4,1,5,7,2,8,3]=>[4,6,7,8,2,5,3,1]
[7,4,8,1,2,5,6,3]=>[8,1,6,7,2,5,4,3]
[4,2,7,8,6,3,5,1]=>[5,4,6,2,3,8,7,1]
[6,1,7,4,3,2,8,5]=>[6,3,4,7,8,1,2,5]
[6,8,3,4,2,1,7,5]=>[2,4,8,3,7,6,1,5]
[4,2,6,1,5,7,8,3]=>[6,4,8,2,1,5,7,3]
[2,4,6,7,3,5,8,1]=>[8,2,7,4,3,6,5,1]
[6,5,8,3,7,4,1,2]=>[4,1,7,8,6,5,2,3]
[7,1,4,8,3,5,6,2]=>[7,6,8,1,3,5,4,2]
[6,8,7,5,3,4,1,2]=>[4,1,5,3,7,6,8,2]
[4,8,6,3,1,5,7,2]=>[3,6,8,4,1,7,5,2]
[3,4,8,2,5,7,6,1]=>[6,7,3,4,1,8,5,2]
[3,6,8,7,2,5,1,4]=>[5,7,3,1,2,6,8,4]
[3,5,7,2,8,6,1,4]=>[6,8,3,2,5,7,1,4]
[2,5,7,4,8,6,1,3]=>[6,2,1,8,5,7,3,4]
[1,6,3,7,5,2,8,4]=>[1,5,7,6,8,4,3,2]
[2,6,3,7,5,1,8,4]=>[5,2,7,6,8,4,3,1]
[2,6,4,8,7,5,1,3]=>[5,2,1,7,6,3,8,4]
[6,3,7,2,8,5,1,4]=>[5,8,7,2,6,1,3,4]
[3,6,2,5,8,7,1,4]=>[7,6,3,1,2,5,8,4]
[5,2,8,4,7,6,1,3]=>[6,5,1,7,2,8,3,4]
[7,2,4,8,6,5,1,3]=>[5,6,1,2,8,7,4,3]
[6,2,4,8,7,5,1,3]=>[5,7,2,1,6,4,8,3]
[2,4,5,8,7,6,1,3]=>[6,2,1,4,5,7,8,3]
[2,3,5,7,6,1,8,4]=>[6,2,3,7,5,8,4,1]
[1,3,4,6,2,8,7,5]=>[1,6,3,4,7,2,8,5]
[5,2,3,6,1,8,7,4]=>[6,5,2,7,3,1,8,4]
[4,2,7,3,8,1,6,5]=>[8,4,7,2,6,1,3,5]
[2,5,1,4,7,3,8,6]=>[5,2,7,1,4,8,3,6]
[6,1,3,8,7,2,5,4]=>[6,7,1,5,2,3,8,4]
[3,1,5,6,2,8,7,4]=>[3,6,1,7,5,2,8,4]
[1,2,4,6,3,8,7,5]=>[1,2,6,4,7,3,8,5]
[4,1,5,2,8,7,6,3]=>[4,5,6,1,2,7,8,3]
[7,1,4,2,8,6,5,3]=>[7,4,5,1,6,8,2,3]
[5,1,3,7,2,8,6,4]=>[5,7,1,6,3,8,2,4]
[4,1,5,3,2,8,7,6]=>[4,3,5,1,2,7,8,6]
[2,6,1,4,3,8,7,5]=>[6,2,4,1,7,3,8,5]
[3,6,2,4,1,8,7,5]=>[4,6,3,2,7,1,8,5]
[7,2,3,5,1,8,6,4]=>[5,7,2,6,3,8,1,4]
[7,3,4,1,8,6,5,2]=>[4,5,6,3,8,7,1,2]
[6,3,4,1,8,7,5,2]=>[4,5,7,2,6,1,8,3]
[3,4,5,1,8,7,6,2]=>[5,6,3,4,1,7,8,2]
[1,4,5,2,8,7,6,3]=>[1,5,6,4,2,7,8,3]
[1,6,4,2,8,7,5,3]=>[1,4,6,5,7,3,8,2]
[5,6,3,1,8,7,4,2]=>[3,6,4,7,5,2,8,1]
[7,4,2,5,1,8,6,3]=>[5,4,7,6,3,8,1,2]
[5,3,6,2,8,1,7,4]=>[8,6,5,7,3,2,1,4]
[4,6,2,7,5,1,8,3]=>[5,7,6,4,8,3,2,1]
[4,5,2,6,1,8,7,3]=>[6,5,7,4,2,1,8,3]
[1,5,3,6,2,8,7,4]=>[1,6,5,7,3,2,8,4]
[1,5,8,3,2,7,6,4]=>[1,3,8,6,5,7,2,4]
[2,5,8,3,1,7,6,4]=>[3,2,8,6,5,7,1,4]
[4,5,8,2,1,7,6,3]=>[2,8,6,4,5,7,1,3]
[3,6,2,5,1,4,8,7]=>[5,6,3,1,2,4,8,7]
[5,2,8,4,1,3,7,6]=>[4,8,2,5,1,7,3,6]
[2,4,8,7,1,3,6,5]=>[7,2,1,4,6,3,8,5]
[2,5,8,1,3,7,6,4]=>[8,2,1,6,5,7,3,4]
[2,3,8,1,4,7,6,5]=>[8,2,3,1,6,7,4,5]
[1,3,8,2,4,7,6,5]=>[1,8,3,2,6,7,4,5]
[3,4,1,7,2,8,6,5]=>[4,7,3,1,6,8,2,5]
[3,5,2,1,7,4,8,6]=>[2,5,3,7,1,8,4,6]
[6,3,1,7,2,8,5,4]=>[3,6,7,5,8,2,1,4]
[7,5,1,2,8,6,4,3]=>[5,1,4,7,6,8,3,2]
[4,6,1,2,8,7,5,3]=>[6,1,5,4,7,2,8,3]
[1,6,2,3,8,7,5,4]=>[1,6,2,5,7,3,8,4]
[1,5,2,3,8,7,6,4]=>[1,5,2,6,3,7,8,4]
[4,5,1,2,8,7,6,3]=>[5,1,6,4,2,7,8,3]
[6,4,1,2,8,7,5,3]=>[4,1,6,5,7,3,8,2]
[7,4,1,2,8,6,5,3]=>[4,1,7,5,6,8,3,2]
[5,3,1,7,2,8,6,4]=>[3,5,7,6,2,8,1,4]
[5,2,8,1,3,7,6,4]=>[8,5,1,6,2,7,3,4]
[4,1,2,8,3,7,6,5]=>[4,1,8,2,6,7,3,5]
[4,7,5,6,8,3,1,2]=>[3,1,8,4,7,5,6,2]
[8,6,4,7,5,3,1,2]=>[3,1,5,7,6,8,2,4]
[7,5,2,6,4,1,3,8]=>[4,6,2,5,7,1,3,8]
[1,6,3,7,5,8,4,2]=>[1,4,8,6,7,2,5,3]
[1,3,7,4,5,8,6,2]=>[1,6,3,8,2,7,5,4]
[7,2,6,3,4,1,5,8]=>[4,7,6,3,1,2,5,8]
[8,3,7,4,6,5,1,2]=>[5,1,6,8,7,2,4,3]
[6,8,4,7,5,3,1,2]=>[3,1,5,7,8,6,2,4]
[4,8,7,5,6,3,1,2]=>[3,1,6,4,7,5,8,2]
[3,8,7,6,4,5,1,2]=>[5,1,3,6,4,7,8,2]
[1,6,5,2,8,3,7,4]=>[1,5,6,8,7,3,4,2]
[8,6,5,2,1,4,3,7]=>[2,5,4,1,6,8,3,7]
[2,7,6,3,1,4,5,8]=>[3,2,6,1,4,7,5,8]
[6,8,5,3,2,1,4,7]=>[2,3,5,1,8,6,4,7]
[2,7,6,4,5,1,3,8]=>[5,2,1,6,4,7,3,8]
[5,7,2,6,4,1,3,8]=>[4,6,2,7,5,1,3,8]
[6,1,3,7,5,8,4,2]=>[6,4,1,8,7,3,5,2]
[4,1,7,3,6,8,5,2]=>[4,5,8,1,7,2,6,3]
[8,1,6,4,3,7,5,2]=>[8,5,4,7,6,1,2,3]
[2,1,7,4,8,6,3,5]=>[2,1,6,8,4,7,3,5]
[1,8,6,3,7,5,4,2]=>[1,4,5,7,6,8,3,2]
[1,8,2,7,3,6,5,4]=>[1,8,7,5,6,3,2,4]
[2,1,3,8,4,7,5,6]=>[2,1,3,8,7,5,4,6]
[8,1,2,7,4,3,6,5]=>[8,1,4,7,6,3,2,5]
[5,3,1,6,8,4,7,2]=>[3,5,7,8,2,6,4,1]
[6,2,8,7,1,4,3,5]=>[7,6,4,1,3,2,8,5]
[8,7,2,1,5,4,3,6]=>[2,7,4,5,1,3,8,6]
[8,2,3,1,4,6,5,7]=>[3,8,2,1,6,4,5,7]
[2,4,8,3,1,5,6,7]=>[3,2,8,4,1,5,6,7]
[3,4,2,7,1,5,6,8]=>[7,4,3,2,1,5,6,8]
[4,7,3,8,2,1,5,6]=>[2,8,7,4,1,5,3,6]
[5,2,7,3,1,4,6,8]=>[3,7,5,2,1,4,6,8]
[8,3,7,2,1,5,4,6]=>[2,7,8,5,1,4,3,6]
[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]
[1,4,2,5,8,6,7,3]=>[1,4,7,2,5,8,6,3]
[6,5,3,8,2,1,4,7]=>[2,8,5,1,6,3,4,7]
[2,6,4,5,7,1,3,8]=>[7,2,1,6,4,5,3,8]
[5,4,6,2,7,1,3,8]=>[7,6,1,5,4,2,3,8]
[7,6,3,1,8,4,5,2]=>[3,6,5,7,2,8,4,1]
[7,6,2,1,8,5,3,4]=>[2,6,5,1,7,8,3,4]
[1,7,5,8,6,4,3,2]=>[1,3,4,6,8,7,2,5]
[6,5,1,2,8,3,7,4]=>[5,1,6,8,7,3,4,2]
[8,6,1,4,3,7,5,2]=>[6,5,4,2,8,7,3,1]
[6,8,4,1,3,7,5,2]=>[4,8,2,5,7,6,3,1]
[6,5,7,1,3,8,4,2]=>[7,4,1,8,6,5,3,2]
[5,8,3,1,7,4,6,2]=>[3,8,6,7,5,4,2,1]
[8,3,1,7,5,4,6,2]=>[3,8,6,5,7,4,2,1]
[1,3,8,7,4,6,5,2]=>[1,5,3,6,7,2,8,4]
[1,2,8,7,6,3,5,4]=>[1,2,6,5,3,7,8,4]
[8,2,1,7,6,4,3,5]=>[2,8,4,6,3,7,1,5]
[2,3,1,8,7,4,5,6]=>[3,2,1,7,4,5,8,6]
[2,4,1,8,5,7,3,6]=>[4,2,7,1,8,3,5,6]
[5,8,2,1,7,6,3,4]=>[2,8,6,3,5,7,1,4]
[6,2,7,1,8,5,3,4]=>[7,6,5,3,8,2,1,4]
[8,7,1,6,5,4,3,2]=>[7,3,4,5,6,1,8,2]
[7,1,8,3,6,5,4,2]=>[7,4,5,6,8,3,1,2]
[4,1,8,7,5,6,3,2]=>[4,3,6,1,7,5,8,2]
[2,1,7,8,4,6,3,5]=>[2,1,6,8,3,4,7,5]
[3,5,8,7,2,6,4,1]=>[4,6,3,7,5,1,8,2]
[5,8,2,7,1,6,4,3]=>[7,8,4,6,5,1,2,3]
[2,1,6,4,5,8,3,7]=>[2,1,8,6,4,5,3,7]
[8,6,3,7,5,2,1,4]=>[2,5,7,3,6,8,1,4]
[4,6,3,8,5,2,1,7]=>[2,5,8,4,6,1,3,7]
[4,6,3,7,5,2,8,1]=>[8,5,7,4,6,2,3,1]
[3,5,7,8,2,6,1,4]=>[6,8,3,1,5,2,7,4]
[5,6,2,4,1,3,8,7]=>[4,6,1,2,5,3,8,7]
[7,6,3,8,5,2,4,1]=>[4,5,8,3,6,7,2,1]
[8,2,3,4,6,1,5,7]=>[6,8,2,3,1,4,5,7]
[7,2,3,4,6,1,8,5]=>[6,7,2,3,8,4,1,5]
[8,2,3,4,7,5,1,6]=>[5,7,1,3,8,2,4,6]
[7,2,3,4,6,8,5,1]=>[5,8,1,3,7,4,6,2]
[7,8,3,6,5,1,4,2]=>[5,4,6,3,8,1,7,2]
[4,2,3,6,1,5,8,7]=>[6,4,2,3,1,5,8,7]
[4,8,3,7,5,1,6,2]=>[5,7,6,4,8,2,1,3]
[5,2,3,4,7,8,6,1]=>[6,5,2,3,4,8,7,1]
[8,2,3,4,7,1,6,5]=>[7,8,2,3,6,1,4,5]
[5,2,3,4,8,7,1,6]=>[7,5,2,3,4,1,8,6]
[5,2,3,4,6,8,1,7]=>[8,5,2,3,4,6,1,7]
[4,2,8,5,7,6,1,3]=>[6,4,1,2,7,8,3,5]
[3,7,6,4,5,1,8,2]=>[5,8,3,6,4,7,1,2]
[3,8,6,4,5,1,2,7]=>[5,1,3,6,4,8,2,7]
[4,7,3,6,5,8,2,1]=>[2,8,7,4,6,3,5,1]
[4,8,3,7,5,2,1,6]=>[2,5,7,4,8,3,1,6]
[8,7,3,6,5,1,2,4]=>[5,1,6,3,7,2,8,4]
[8,2,7,5,1,6,3,4]=>[5,7,8,1,6,2,3,4]
[4,2,7,5,8,6,3,1]=>[3,6,4,1,8,7,2,5]
[5,8,1,7,3,6,4,2]=>[8,4,6,7,5,2,1,3]
[5,2,7,8,4,6,3,1]=>[3,6,5,8,1,4,7,2]
[5,2,8,3,7,6,1,4]=>[6,5,7,3,2,8,1,4]
[8,2,7,3,1,6,4,5]=>[3,7,8,6,4,2,1,5]
[6,8,3,2,5,7,1,4]=>[7,3,8,1,2,6,5,4]
[6,7,3,8,5,4,2,1]=>[2,4,5,8,7,6,3,1]
[6,2,3,4,7,5,8,1]=>[8,6,2,3,7,4,5,1]
[6,2,3,4,8,5,1,7]=>[5,8,1,3,6,4,2,7]
[8,2,3,4,1,7,5,6]=>[4,8,2,3,7,5,1,6]
[6,2,3,4,1,8,5,7]=>[4,6,2,3,8,1,5,7]
[6,2,3,4,8,7,5,1]=>[5,7,1,3,6,4,8,2]
[6,8,3,1,5,7,4,2]=>[3,8,4,7,2,6,5,1]
[7,2,3,4,1,8,6,5]=>[4,7,2,3,6,8,1,5]
[7,2,3,4,1,5,8,6]=>[4,7,2,3,1,8,5,6]
[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]
[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]
[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]
[8,6,7,4,1,5,3,2]=>[4,3,7,5,2,8,6,1]
[4,8,6,7,5,1,3,2]=>[5,3,1,4,7,8,6,2]
[7,1,8,4,6,5,2,3]=>[7,5,2,6,8,3,1,4]
[8,7,1,5,4,6,2,3]=>[7,6,2,5,1,4,8,3]
[8,5,7,1,4,6,3,2]=>[7,3,6,1,8,4,5,2]
[6,4,8,5,1,7,3,2]=>[5,3,8,7,6,1,2,4]
[4,8,5,7,1,6,3,2]=>[7,3,6,4,8,1,5,2]
[8,4,7,1,5,6,3,2]=>[7,3,6,8,1,5,4,2]
[8,7,1,4,5,6,3,2]=>[7,3,6,1,4,5,8,2]
[8,7,4,5,6,1,3,2]=>[6,3,1,7,4,5,8,2]
[8,7,5,1,4,6,2,3]=>[5,7,1,2,6,4,8,3]
[8,7,2,5,1,4,6,3]=>[5,7,6,1,2,4,8,3]
[4,8,7,2,5,1,6,3]=>[5,7,6,4,2,1,8,3]
[1,6,4,8,5,2,7,3]=>[1,5,8,7,6,2,3,4]
[8,7,1,4,2,5,6,3]=>[7,4,6,1,2,5,8,3]
[8,7,5,1,2,4,6,3]=>[5,1,7,3,6,4,8,2]
[7,1,8,5,6,2,3,4]=>[7,6,2,3,8,5,1,4]
[3,8,7,1,2,5,6,4]=>[7,1,3,6,2,5,8,4]
[3,5,8,7,1,2,6,4]=>[7,1,3,6,5,2,8,4]
[2,3,8,5,7,1,6,4]=>[7,2,3,6,8,1,5,4]
[3,8,7,1,5,6,2,4]=>[7,6,3,2,1,5,8,4]
[3,5,8,7,1,6,2,4]=>[7,6,3,2,5,1,8,4]
[2,3,8,6,7,5,1,4]=>[5,2,3,1,7,8,6,4]
[3,2,8,6,7,5,1,4]=>[5,3,2,1,7,8,6,4]
[4,1,8,6,2,7,5,3]=>[4,6,5,1,8,7,3,2]
[8,7,4,1,2,6,5,3]=>[4,1,7,5,6,3,8,2]
[1,3,8,6,7,5,2,4]=>[1,5,3,2,7,8,6,4]
[5,7,1,8,2,6,3,4]=>[7,8,6,3,5,2,1,4]
[2,8,7,1,5,6,3,4]=>[7,2,6,3,1,5,8,4]
[8,7,1,5,2,4,6,3]=>[7,5,6,2,1,4,8,3]
[7,1,8,2,4,6,5,3]=>[7,8,5,2,6,4,1,3]
[1,6,2,8,4,7,5,3]=>[1,6,5,7,8,2,3,4]
[1,3,8,5,7,2,6,4]=>[1,7,3,6,8,2,5,4]
[1,8,3,7,2,5,6,4]=>[1,7,8,6,2,5,3,4]
[2,8,7,1,3,5,6,4]=>[7,2,1,6,3,5,8,4]
[5,7,1,8,2,3,6,4]=>[7,8,2,6,5,3,1,4]
[7,1,8,2,3,5,6,4]=>[7,8,2,6,3,5,1,4]
[8,6,3,7,4,1,5,2]=>[4,7,5,6,2,8,1,3]
[4,2,8,6,7,5,1,3]=>[5,4,1,2,7,8,6,3]
[8,4,2,7,5,6,1,3]=>[6,4,1,8,7,5,2,3]
[4,8,3,6,1,7,5,2]=>[6,5,7,4,8,2,1,3]
[8,3,4,7,5,1,6,2]=>[5,7,6,1,8,2,4,3]
[8,3,7,4,5,1,6,2]=>[5,6,8,7,4,1,3,2]
[8,7,4,2,5,6,1,3]=>[6,4,1,7,2,5,8,3]
[8,7,5,1,6,2,3,4]=>[5,7,1,3,6,2,8,4]
[8,7,2,4,1,5,6,3]=>[4,7,6,2,1,5,8,3]
[4,8,6,1,7,2,5,3]=>[6,8,5,4,1,7,2,3]
[4,7,1,8,2,6,5,3]=>[7,8,5,4,6,2,1,3]
[4,2,8,6,7,1,5,3]=>[7,4,5,2,1,8,6,3]
[8,7,4,1,2,5,6,3]=>[4,1,7,6,3,5,8,2]
[8,2,7,1,6,3,4,5]=>[7,8,6,3,4,1,2,5]
[8,2,7,1,3,6,4,5]=>[7,8,1,6,4,3,2,5]
[2,8,3,6,7,1,5,4]=>[7,2,8,5,1,3,6,4]
[8,7,2,1,3,5,6,4]=>[2,7,1,6,3,5,8,4]
[1,8,7,2,3,6,4,5]=>[1,7,2,6,4,3,8,5]
[1,8,7,2,6,3,4,5]=>[1,7,6,3,4,2,8,5]
[8,2,7,3,6,1,4,5]=>[6,8,7,1,4,3,2,5]
[1,8,7,3,6,2,4,5]=>[1,6,7,2,4,3,8,5]
[1,8,2,7,6,3,4,5]=>[1,8,6,3,4,7,2,5]
[8,2,7,4,1,5,6,3]=>[4,7,8,6,2,5,3,1]
[8,2,1,7,5,6,3,4]=>[2,8,6,3,7,5,1,4]
[8,7,3,1,5,6,2,4]=>[3,7,6,1,2,5,8,4]
[2,8,7,3,5,6,1,4]=>[6,2,7,1,3,5,8,4]
[8,3,1,6,7,5,2,4]=>[3,8,5,1,7,2,6,4]
[8,5,2,1,6,7,4,3]=>[2,5,4,8,7,3,6,1]
[1,5,2,8,6,7,4,3]=>[1,5,4,7,2,8,6,3]
[1,2,8,6,7,5,3,4]=>[1,2,5,3,7,8,6,4]
[1,8,3,6,7,5,2,4]=>[1,5,7,3,8,2,6,4]
[8,2,3,6,7,5,1,4]=>[5,7,1,2,8,3,6,4]
[8,3,7,2,5,6,1,4]=>[6,7,8,1,2,5,3,4]
[8,1,3,7,5,6,2,4]=>[8,6,1,2,7,5,3,4]
[8,4,1,2,7,5,6,3]=>[4,1,8,6,7,5,3,2]
[8,1,4,2,6,7,5,3]=>[8,4,5,1,7,2,6,3]
[1,2,8,6,7,3,5,4]=>[1,2,7,5,3,8,6,4]
[8,1,2,7,3,6,4,5]=>[8,1,7,6,4,3,2,5]
[8,1,7,3,6,2,4,5]=>[8,6,7,2,4,3,1,5]
[8,1,7,2,6,3,4,5]=>[8,7,6,3,4,2,1,5]
[8,1,7,2,3,6,4,5]=>[8,7,2,6,4,3,1,5]
[8,1,3,7,2,5,6,4]=>[8,7,1,6,2,5,3,4]
[1,8,3,6,7,2,5,4]=>[1,7,8,5,2,3,6,4]
[1,7,8,2,3,6,5,4]=>[1,8,2,5,6,3,7,4]
[8,3,7,1,2,5,6,4]=>[7,1,8,6,2,5,3,4]
[8,7,1,2,3,6,4,5]=>[7,1,2,6,4,3,8,5]
[2,8,5,7,4,6,3,1]=>[3,2,6,7,8,4,5,1]
[3,1,8,5,7,4,2,6]=>[3,4,1,7,8,2,5,6]
[8,3,5,7,4,2,6,1]=>[6,4,7,8,2,3,5,1]
[8,3,6,2,4,5,7,1]=>[7,6,8,2,4,3,5,1]
[2,8,6,4,3,5,7,1]=>[7,2,4,6,3,8,5,1]
[2,6,8,3,5,4,7,1]=>[7,2,8,5,3,6,4,1]
[2,7,5,8,4,6,3,1]=>[3,2,6,8,7,4,5,1]
[8,4,2,7,6,1,3,5]=>[6,4,2,7,3,8,1,5]
[4,8,1,7,6,3,2,5]=>[8,3,6,4,2,7,1,5]
[4,1,7,6,2,3,5,8]=>[4,6,2,1,3,7,5,8]
[3,7,1,8,6,2,5,4]=>[7,6,3,5,2,8,1,4]
[3,1,7,6,4,5,2,8]=>[3,5,1,6,4,7,2,8]
[3,1,7,5,8,4,2,6]=>[3,4,1,8,7,2,5,6]
[3,1,6,8,7,5,2,4]=>[3,5,1,2,7,6,8,4]
[6,3,8,7,5,2,4,1]=>[4,5,7,3,6,2,8,1]
[7,3,5,8,4,2,6,1]=>[6,4,8,7,2,3,5,1]
[7,3,6,4,2,8,5,1]=>[5,4,8,6,7,1,2,3]
[7,8,3,6,2,5,4,1]=>[4,5,6,8,3,1,7,2]
[7,4,8,2,1,6,3,5]=>[2,8,6,7,3,1,4,5]
[8,7,4,6,3,2,5,1]=>[5,3,6,7,2,4,8,1]
[7,8,5,2,1,4,3,6]=>[2,5,4,1,8,3,7,6]
[7,5,2,3,1,4,8,6]=>[3,5,2,1,7,8,4,6]
[7,4,6,2,3,8,1,5]=>[8,6,2,7,1,4,3,5]
[6,4,2,5,8,3,7,1]=>[7,4,6,8,3,5,2,1]
[4,6,5,8,1,3,2,7]=>[8,3,1,4,6,5,2,7]
[4,7,1,5,3,8,2,6]=>[7,8,5,4,1,2,3,6]
[4,7,8,1,3,6,2,5]=>[8,6,1,4,2,3,7,5]
[5,7,1,3,4,6,2,8]=>[7,6,1,3,5,4,2,8]
[5,7,1,4,2,3,6,8]=>[7,4,2,1,5,3,6,8]
[5,8,1,3,2,4,6,7]=>[8,3,1,2,5,4,6,7]
[4,8,6,1,3,2,7,5]=>[6,3,1,4,8,7,5,2]
[8,4,6,2,1,3,7,5]=>[2,6,1,8,7,4,3,5]
[5,4,8,7,2,3,6,1]=>[6,7,2,5,4,3,8,1]
[5,4,8,7,3,1,2,6]=>[3,1,7,5,4,2,8,6]
[6,8,3,7,2,5,4,1]=>[4,5,7,8,3,6,1,2]
[5,4,6,8,2,3,7,1]=>[7,8,2,5,4,6,3,1]
[5,7,4,2,8,3,6,1]=>[6,4,7,8,5,2,3,1]
[6,4,7,2,1,8,3,5]=>[2,7,8,6,3,4,1,5]
[6,5,3,4,1,2,8,7]=>[4,1,5,3,6,2,8,7]
[6,8,5,4,1,3,2,7]=>[4,3,1,5,8,6,2,7]
[6,4,3,7,1,5,2,8]=>[7,5,4,6,1,3,2,8]
[7,4,2,6,1,5,3,8]=>[6,4,7,5,1,3,2,8]
[7,4,2,5,6,1,3,8]=>[6,4,1,7,2,5,3,8]
[6,4,2,8,1,5,7,3]=>[8,4,6,7,1,3,5,2]
[6,3,7,8,2,5,1,4]=>[5,8,6,1,2,3,7,4]
[7,3,5,6,4,2,1,8]=>[2,4,6,7,1,5,3,8]
[7,4,3,1,5,6,2,8]=>[3,4,7,6,1,5,2,8]
[7,4,5,2,6,1,3,8]=>[6,5,1,7,4,2,3,8]
[5,3,7,2,8,6,4,1]=>[4,6,8,5,1,7,2,3]
[5,3,8,2,6,7,4,1]=>[4,7,8,5,1,3,6,2]
[6,3,8,2,5,4,7,1]=>[7,8,6,5,2,3,4,1]
[6,4,8,2,1,5,7,3]=>[2,8,7,6,1,4,5,3]
[6,4,3,1,8,2,7,5]=>[3,4,6,8,7,1,2,5]
[5,3,7,8,2,6,4,1]=>[4,6,8,5,1,3,7,2]
[4,7,8,5,6,3,2,1]=>[2,3,6,4,8,5,7,1]
[5,3,7,6,8,2,4,1]=>[4,8,5,2,3,7,6,1]
[5,7,8,4,6,2,1,3]=>[2,6,1,8,5,4,7,3]
[5,8,4,3,6,7,1,2]=>[7,1,4,8,5,3,6,2]
[5,8,6,4,7,2,1,3]=>[2,7,1,6,5,8,4,3]
[5,3,8,6,2,7,4,1]=>[4,7,6,5,1,8,3,2]
[4,7,5,8,6,3,2,1]=>[2,3,6,4,8,7,1,5]
[4,8,6,7,5,3,2,1]=>[2,3,5,4,7,8,6,1]
[6,3,8,7,2,4,1,5]=>[4,7,6,2,1,3,8,5]
[5,3,8,7,2,6,4,1]=>[4,6,7,5,1,3,8,2]
[5,3,8,6,7,2,4,1]=>[4,7,5,2,3,8,6,1]
[5,3,7,8,6,2,4,1]=>[4,6,5,2,3,8,7,1]
[5,7,6,4,8,2,1,3]=>[2,8,1,6,5,7,4,3]
[5,8,4,6,7,2,1,3]=>[2,7,1,8,5,4,6,3]
[6,4,2,8,1,7,3,5]=>[8,4,6,7,2,3,1,5]
[6,5,2,4,3,7,8,1]=>[8,5,4,2,6,3,7,1]
[5,4,6,2,8,7,1,3]=>[7,6,1,5,4,2,8,3]
[5,6,3,8,7,2,4,1]=>[4,7,6,2,5,3,8,1]
[6,7,4,3,1,8,2,5]=>[3,4,7,8,2,6,1,5]
[5,7,4,3,6,8,1,2]=>[8,1,4,7,5,3,6,2]
[5,7,3,8,6,2,4,1]=>[4,6,8,3,5,7,2,1]
[4,5,8,6,7,3,2,1]=>[2,3,7,4,5,8,6,1]
[4,6,8,5,7,3,2,1]=>[2,3,7,4,8,6,5,1]
[5,6,8,3,7,2,4,1]=>[4,7,8,2,5,6,3,1]
[5,4,6,8,2,7,1,3]=>[7,8,1,5,4,6,2,3]
[3,6,7,8,2,5,1,4]=>[5,8,3,1,2,6,7,4]
[5,7,8,2,6,4,1,3]=>[4,6,2,8,5,1,7,3]
[3,6,8,5,7,1,4,2]=>[7,4,3,1,8,6,5,2]
[1,7,4,8,6,2,3,5]=>[1,6,2,8,4,7,3,5]
[3,6,2,5,7,8,1,4]=>[8,6,3,1,2,5,7,4]
[5,2,7,4,6,8,1,3]=>[8,5,1,7,2,4,6,3]
[7,2,4,5,8,6,1,3]=>[6,8,2,1,4,7,5,3]
[5,3,6,7,1,8,4,2]=>[7,4,8,5,2,6,1,3]
[4,2,5,6,7,1,8,3]=>[7,4,8,2,5,6,1,3]
[8,2,3,7,5,1,6,4]=>[5,7,1,8,6,2,4,3]
[7,2,6,3,5,1,8,4]=>[5,7,6,8,3,2,1,4]
[8,1,3,6,7,2,4,5]=>[8,7,1,2,4,3,6,5]
[8,1,4,2,5,6,3,7]=>[8,4,6,1,2,5,3,7]
[8,1,4,2,7,5,3,6]=>[8,4,5,1,7,3,2,6]
[6,1,3,8,2,7,4,5]=>[6,8,1,7,4,3,2,5]
[3,6,2,4,1,7,8,5]=>[4,6,3,2,8,1,7,5]
[6,2,7,3,1,5,8,4]=>[3,7,6,8,2,1,5,4]
[6,3,4,1,8,5,7,2]=>[4,7,6,3,8,1,5,2]
[7,3,4,1,5,8,6,2]=>[4,6,8,2,1,7,5,3]
[1,7,5,2,8,6,3,4]=>[1,5,7,2,6,8,3,4]
[3,7,4,1,8,5,6,2]=>[4,7,3,6,8,5,2,1]
[5,6,3,1,7,8,4,2]=>[3,6,4,8,5,2,7,1]
[3,6,4,8,1,5,7,2]=>[8,7,3,6,1,4,5,2]
[1,5,8,4,2,6,3,7]=>[1,4,8,6,5,3,2,7]
[3,5,7,4,1,6,8,2]=>[4,7,3,8,5,2,6,1]
[3,5,7,1,2,6,4,8]=>[7,1,3,6,5,2,4,8]
[4,5,1,8,2,3,7,6]=>[5,8,2,4,1,7,3,6]
[4,7,1,8,2,6,3,5]=>[7,8,6,4,3,2,1,5]
[6,3,1,8,5,2,4,7]=>[3,6,5,1,8,2,4,7]
[3,5,2,1,8,4,6,7]=>[2,5,3,8,1,4,6,7]
[7,5,1,2,3,8,6,4]=>[5,1,2,7,6,8,4,3]
[6,4,1,2,7,3,8,5]=>[4,1,6,7,8,3,2,5]
[5,2,6,1,3,4,8,7]=>[6,5,1,3,2,4,8,7]
[7,8,4,5,1,3,2,6]=>[5,3,1,8,4,2,7,6]
[6,7,1,3,2,5,4,8]=>[7,3,1,5,2,6,4,8]
[6,7,1,4,3,5,2,8]=>[7,5,4,1,3,6,2,8]
[7,8,2,3,1,5,4,6]=>[3,8,2,5,1,4,7,6]
[7,8,2,4,3,5,1,6]=>[5,8,4,2,3,1,7,6]
[7,8,2,4,1,5,3,6]=>[4,8,5,2,1,3,7,6]
[1,4,2,6,5,7,3,8]=>[1,4,7,2,6,5,3,8]
[5,6,1,4,2,7,3,8]=>[6,4,7,1,5,2,3,8]
[6,7,2,4,1,5,3,8]=>[4,7,5,2,1,6,3,8]
[6,7,2,4,3,5,1,8]=>[5,7,4,2,3,6,1,8]
[6,7,2,3,1,5,4,8]=>[3,7,2,5,1,6,4,8]
[6,7,3,5,4,8,1,2]=>[8,1,7,5,3,6,4,2]
[2,4,1,6,5,7,3,8]=>[4,2,7,1,6,5,3,8]
[1,5,2,6,4,7,3,8]=>[1,5,7,6,2,4,3,8]
[2,5,1,6,4,7,3,8]=>[5,2,7,6,1,4,3,8]
[3,6,5,7,4,8,1,2]=>[8,1,3,7,6,5,4,2]
[5,6,2,4,3,7,1,8]=>[7,6,4,2,5,3,1,8]
[4,5,2,6,1,7,3,8]=>[6,5,7,4,2,1,3,8]
[4,5,1,6,3,7,2,8]=>[5,7,6,4,1,3,2,8]
[4,5,3,6,1,7,2,8]=>[6,7,5,4,3,1,2,8]
[5,6,3,4,1,7,2,8]=>[4,7,6,3,5,1,2,8]
[5,6,1,4,3,7,2,8]=>[6,7,4,1,5,3,2,8]
[5,6,1,3,2,7,4,8]=>[6,3,1,7,5,2,4,8]
[5,6,4,7,1,3,2,8]=>[7,3,1,6,5,4,2,8]
[6,7,4,5,1,3,2,8]=>[5,3,1,7,4,6,2,8]
[6,7,5,8,1,3,2,4]=>[8,3,1,2,7,6,5,4]
[4,5,1,3,2,7,6,8]=>[5,3,1,4,2,7,6,8]
[4,6,5,7,1,3,2,8]=>[7,3,1,4,6,5,2,8]
[4,6,1,3,2,7,5,8]=>[6,3,1,4,7,2,5,8]
[1,4,3,6,2,7,5,8]=>[1,6,4,3,7,2,5,8]
[3,4,1,6,5,7,2,8]=>[4,7,3,1,6,5,2,8]
[4,5,2,3,1,7,6,8]=>[3,5,2,4,1,7,6,8]
[4,5,3,7,6,8,1,2]=>[8,1,5,4,3,7,6,2]
[4,6,5,7,3,8,1,2]=>[8,1,7,4,6,5,3,2]
[4,6,5,7,2,3,1,8]=>[3,7,2,4,6,5,1,8]
[3,5,4,6,1,7,2,8]=>[6,7,3,5,4,1,2,8]
[3,5,1,6,4,7,2,8]=>[5,7,3,6,1,4,2,8]
[1,5,3,6,4,7,2,8]=>[1,7,5,6,3,4,2,8]
[1,5,3,6,2,7,4,8]=>[1,6,5,7,3,2,4,8]
[3,5,2,6,1,7,4,8]=>[6,5,3,7,2,1,4,8]
[3,5,2,6,4,7,1,8]=>[7,5,3,6,2,4,1,8]
[3,4,2,6,1,7,5,8]=>[6,4,3,2,7,1,5,8]
[4,6,2,3,1,7,5,8]=>[3,6,2,4,7,1,5,8]
[2,4,3,6,1,7,5,8]=>[6,2,4,3,7,1,5,8]
[2,5,3,6,4,7,1,8]=>[7,2,5,6,3,4,1,8]
[2,5,3,6,1,7,4,8]=>[6,2,5,7,3,1,4,8]
[4,6,2,7,3,5,8,1]=>[8,6,7,4,3,2,5,1]
[3,6,2,7,5,4,8,1]=>[8,6,3,5,7,2,4,1]
[4,6,1,7,3,8,2,5]=>[6,8,7,4,2,1,3,5]
[2,4,7,1,3,8,6,5]=>[7,2,1,4,6,8,3,5]
[5,2,6,7,4,3,8,1]=>[8,5,4,7,2,6,3,1]
[3,5,2,7,6,4,8,1]=>[8,5,3,6,2,7,4,1]
[1,5,7,4,3,8,2,6]=>[1,8,4,7,5,2,3,6]
[2,5,7,3,1,8,6,4]=>[3,2,7,6,5,8,1,4]
[1,5,7,2,8,3,6,4]=>[1,7,8,6,5,3,2,4]
[2,5,7,3,1,8,4,6]=>[3,2,7,8,5,4,1,6]
[1,5,7,3,4,8,2,6]=>[1,8,7,3,5,2,4,6]
[5,2,6,7,1,8,4,3]=>[7,5,4,8,2,6,1,3]
[1,3,7,2,8,5,6,4]=>[1,7,3,6,8,5,2,4]
[2,3,1,5,8,4,7,6]=>[3,2,1,8,5,7,4,6]
[2,1,5,6,8,4,3,7]=>[2,1,4,8,5,6,3,7]
[2,3,1,5,8,6,4,7]=>[3,2,1,6,5,8,4,7]
[2,4,7,3,1,8,5,6]=>[3,2,7,4,8,5,1,6]
[1,3,7,2,8,5,4,6]=>[1,7,3,5,8,4,2,6]
[2,3,1,6,8,5,4,7]=>[3,2,1,5,8,6,4,7]
[4,6,2,7,1,8,3,5]=>[7,6,8,4,3,2,1,5]
[1,5,4,3,6,8,2,7]=>[1,8,4,5,3,6,2,7]
[1,6,4,5,7,8,3,2]=>[1,3,8,6,4,5,7,2]
[2,5,1,7,8,6,3,4]=>[5,2,6,3,1,8,7,4]
[1,3,6,2,8,7,4,5]=>[1,6,3,7,4,2,8,5]
[2,1,5,6,8,4,7,3]=>[2,1,7,8,5,6,4,3]
[2,4,1,7,8,5,6,3]=>[4,2,6,1,8,5,7,3]
[1,3,6,2,8,4,7,5]=>[1,6,3,8,7,2,4,5]
[2,1,5,6,8,7,3,4]=>[2,1,7,3,5,6,8,4]
[3,6,5,2,7,8,4,1]=>[4,8,3,5,6,1,7,2]
[6,2,4,7,5,8,3,1]=>[3,8,6,1,7,4,5,2]
[1,5,7,8,4,2,6,3]=>[1,4,8,6,5,3,7,2]
[3,7,4,1,8,6,2,5]=>[4,7,3,6,1,8,2,5]
[3,4,6,8,5,7,2,1]=>[2,7,3,4,8,6,5,1]
[4,2,5,7,3,1,8,6]=>[3,7,4,1,5,8,2,6]
[4,5,6,2,8,7,3,1]=>[3,7,6,4,5,1,8,2]
[2,5,6,8,1,7,4,3]=>[8,2,4,7,5,6,1,3]
[4,5,6,1,8,7,3,2]=>[6,3,7,4,5,1,8,2]
[4,5,6,3,1,8,7,2]=>[3,6,7,4,5,2,8,1]
[4,3,6,2,1,7,5,8]=>[2,6,4,3,7,1,5,8]
[4,6,3,2,1,7,5,8]=>[2,3,6,4,7,1,5,8]
[4,6,3,1,7,5,2,8]=>[3,6,5,4,7,2,1,8]
[4,5,3,7,6,1,8,2]=>[6,7,5,4,3,8,2,1]
[4,5,1,7,3,8,6,2]=>[5,6,8,4,1,7,2,3]
[2,5,7,1,4,3,8,6]=>[7,2,4,1,5,8,3,6]
[4,3,5,7,6,1,8,2]=>[6,7,4,3,5,8,2,1]
[4,3,6,1,7,5,2,8]=>[6,5,4,3,7,1,2,8]
[4,3,2,6,1,7,5,8]=>[6,3,4,2,7,1,5,8]
[5,3,2,1,6,4,7,8]=>[2,3,5,6,1,4,7,8]
[5,3,1,6,2,7,4,8]=>[3,5,6,7,2,1,4,8]
[5,1,6,3,2,7,4,8]=>[5,3,6,7,1,2,4,8]
[2,6,1,4,7,5,3,8]=>[6,2,5,1,7,4,3,8]
[3,6,1,7,4,2,5,8]=>[6,4,3,7,2,1,5,8]
[4,6,1,7,5,3,2,8]=>[6,3,5,4,7,1,2,8]
[5,1,6,3,7,4,2,8]=>[5,4,7,6,1,2,3,8]
[5,3,6,4,2,1,7,8]=>[2,4,6,5,1,3,7,8]
[5,3,2,6,4,1,7,8]=>[4,3,6,5,1,2,7,8]
[5,2,1,6,3,7,4,8]=>[2,5,6,7,1,3,4,8]
[5,2,6,3,1,7,4,8]=>[3,6,5,7,1,2,4,8]
[4,2,6,3,1,7,8,5]=>[3,6,4,1,8,2,7,5]
[3,6,2,1,7,4,5,8]=>[2,6,3,7,4,1,5,8]
[3,6,2,7,4,1,5,8]=>[4,7,3,6,2,1,5,8]
[3,5,7,2,8,6,4,1]=>[4,6,3,8,5,7,2,1]
[2,4,7,1,3,6,5,8]=>[7,2,1,4,6,3,5,8]
[2,6,1,3,7,5,4,8]=>[6,2,1,5,7,3,4,8]
[3,6,1,7,5,2,4,8]=>[6,5,3,2,7,1,4,8]
[5,1,6,2,7,4,3,8]=>[5,6,4,7,1,2,3,8]
[5,2,6,4,3,1,7,8]=>[3,4,6,5,2,1,7,8]
[5,2,1,6,4,3,7,8]=>[2,5,4,6,1,3,7,8]
[5,4,2,1,6,3,7,8]=>[2,4,5,6,3,1,7,8]
[5,4,2,6,3,1,7,8]=>[3,6,4,5,1,2,7,8]
[5,4,1,6,2,7,3,8]=>[4,5,6,7,2,3,1,8]
[5,1,6,4,2,7,3,8]=>[5,4,6,7,1,3,2,8]
[3,6,1,7,5,4,8,2]=>[6,8,3,5,7,1,4,2]
[2,6,1,5,4,3,7,8]=>[6,2,4,5,1,3,7,8]
[3,1,6,2,5,4,7,8]=>[3,6,1,5,2,4,7,8]
[5,1,6,4,3,2,7,8]=>[5,3,4,6,1,2,7,8]
[5,4,1,6,3,2,7,8]=>[4,3,5,6,2,1,7,8]
[5,4,3,1,6,2,7,8]=>[3,4,5,6,1,2,7,8]
[7,3,1,6,5,4,8,2]=>[3,7,8,5,6,2,4,1]
[7,2,8,1,5,4,3,6]=>[8,7,4,5,1,3,2,6]
[4,2,7,6,5,8,1,3]=>[8,4,1,2,6,7,5,3]
[3,8,2,6,5,4,1,7]=>[4,5,3,6,8,2,1,7]
[7,3,2,1,5,4,6,8]=>[2,3,7,5,1,4,6,8]
[7,2,8,6,1,4,3,5]=>[6,8,4,2,3,7,1,5]
[5,2,7,6,8,4,1,3]=>[4,8,2,5,1,7,6,3]
[3,8,7,2,5,4,1,6]=>[4,5,3,7,1,2,8,6]
[7,5,1,6,8,4,3,2]=>[5,3,4,7,8,2,6,1]
[7,4,2,1,5,6,3,8]=>[2,4,7,6,3,5,1,8]
[7,2,8,6,5,1,3,4]=>[5,6,1,3,8,7,2,4]
[5,3,2,6,7,4,1,8]=>[4,3,7,5,1,6,2,8]
[4,3,7,2,5,6,1,8]=>[6,7,4,3,2,5,1,8]
[6,7,1,4,3,2,5,8]=>[7,3,4,1,2,6,5,8]
[3,4,2,6,7,1,5,8]=>[7,4,3,2,1,6,5,8]
[3,7,1,6,5,2,4,8]=>[7,5,3,2,6,1,4,8]
[3,5,6,2,4,7,1,8]=>[7,6,3,2,5,4,1,8]
[3,5,8,7,2,4,6,1]=>[6,7,3,2,5,4,8,1]
[1,7,8,2,5,4,3,6]=>[1,8,4,5,2,3,7,6]
[8,7,2,5,4,3,6,1]=>[6,7,4,5,2,3,8,1]
[2,5,6,4,7,1,3,8]=>[7,2,1,6,5,4,3,8]
[4,7,1,6,3,5,2,8]=>[7,5,6,4,3,1,2,8]
[4,5,3,8,7,2,6,1]=>[6,7,5,4,3,2,8,1]
[1,4,5,3,7,8,2,6]=>[1,8,5,4,3,2,7,6]
[1,4,8,2,7,6,3,5]=>[1,8,6,4,3,7,2,5]
[4,7,3,5,1,8,6,2]=>[5,6,8,4,2,7,1,3]
[8,7,3,6,1,5,4,2]=>[6,4,5,7,1,2,8,3]
[2,5,8,7,4,6,1,3]=>[6,2,1,7,5,4,8,3]
[5,4,2,1,7,8,3,6]=>[2,4,5,8,3,1,7,6]
[4,7,8,3,5,2,1,6]=>[2,5,8,4,3,1,7,6]
[4,7,6,2,1,8,3,5]=>[2,6,7,4,1,8,3,5]
[1,4,6,7,3,5,8,2]=>[1,8,7,4,3,6,5,2]
[8,3,6,2,1,7,5,4]=>[2,6,8,5,7,3,1,4]
[8,3,7,6,4,2,1,5]=>[2,4,6,7,1,8,3,5]
[2,3,1,8,4,7,6,5]=>[3,2,1,8,6,7,4,5]
[2,7,4,8,6,5,1,3]=>[5,2,1,6,8,7,4,3]
[8,6,5,1,4,7,3,2]=>[5,3,6,1,8,7,4,2]
[8,5,4,1,7,3,6,2]=>[4,5,8,6,7,2,3,1]
[6,3,7,2,8,5,4,1]=>[4,5,8,7,6,2,1,3]
[1,6,3,8,2,7,5,4]=>[1,8,6,5,7,3,2,4]
[1,7,5,3,8,2,6,4]=>[1,8,5,7,6,2,4,3]
[6,2,7,4,1,8,5,3]=>[4,7,6,5,8,3,2,1]
[8,6,3,2,7,5,1,4]=>[5,3,7,2,6,8,1,4]
[2,7,5,1,3,8,6,4]=>[5,2,1,7,6,8,4,3]
[1,7,6,4,3,8,2,5]=>[1,8,4,6,2,7,3,5]
[3,7,2,4,8,6,5,1]=>[5,6,3,2,8,7,4,1]
[3,4,2,8,7,6,1,5]=>[6,4,3,2,1,7,8,5]
[5,1,4,3,2,7,8,6]=>[5,3,4,1,2,8,7,6]
[3,7,8,5,2,4,1,6]=>[4,5,3,2,8,1,7,6]
[3,7,6,2,4,1,8,5]=>[4,6,3,2,7,8,5,1]
[1,6,8,2,5,7,4,3]=>[1,8,4,7,2,6,5,3]
[6,7,2,5,8,4,3,1]=>[3,4,8,7,2,6,5,1]
[5,2,7,8,4,3,1,6]=>[3,4,8,5,2,1,7,6]
[5,3,1,7,8,4,2,6]=>[3,5,4,8,2,1,7,6]
[2,7,6,4,1,3,8,5]=>[4,2,1,6,7,8,5,3]
[4,1,7,6,3,2,8,5]=>[4,3,6,1,7,8,5,2]
[8,4,2,7,6,3,1,5]=>[3,6,4,7,1,8,2,5]
[6,3,1,7,5,2,8,4]=>[3,6,5,7,8,2,4,1]
[6,2,7,5,3,1,8,4]=>[3,5,7,6,8,4,1,2]
[1,5,8,2,7,4,6,3]=>[1,8,6,7,5,4,2,3]
[5,7,2,8,4,6,3,1]=>[3,6,7,8,5,4,1,2]
[5,7,3,1,8,4,6,2]=>[3,7,6,8,5,4,2,1]
[8,4,7,3,1,6,5,2]=>[3,7,5,6,8,2,1,4]
[2,6,8,5,7,4,1,3]=>[4,2,1,7,8,6,5,3]
[6,5,2,1,7,4,8,3]=>[2,5,6,8,7,3,1,4]
[5,7,4,6,2,1,8,3]=>[2,6,8,7,5,4,1,3]
[5,6,4,8,3,7,2,1]=>[2,7,8,6,5,4,3,1]
[6,7,1,8,3,4,2,5]=>[7,4,8,3,2,6,1,5]
[7,8,3,5,1,4,2,6]=>[5,4,8,1,3,2,7,6]
[5,6,2,7,1,8,3,4]=>[7,6,8,3,5,2,1,4]
[6,7,2,4,3,8,1,5]=>[8,7,4,2,1,6,3,5]
[2,4,3,8,6,7,1,5]=>[7,2,4,3,1,8,6,5]
[1,8,2,7,4,5,3,6]=>[1,8,5,7,4,3,2,6]
[2,5,4,8,3,6,1,7]=>[6,2,8,5,4,3,1,7]
[2,3,1,8,5,6,4,7]=>[3,2,1,6,8,5,4,7]
[3,8,5,6,4,7,1,2]=>[7,1,3,6,8,5,4,2]
[5,7,3,6,4,8,1,2]=>[8,1,7,6,5,3,4,2]
[5,7,2,3,1,6,4,8]=>[3,7,2,6,5,1,4,8]
[5,7,2,4,3,6,1,8]=>[6,7,4,2,5,3,1,8]
[4,6,2,7,1,5,3,8]=>[7,6,5,4,1,2,3,8]
[4,7,1,6,2,5,3,8]=>[7,6,5,4,2,1,3,8]
[4,7,1,5,3,6,2,8]=>[7,6,5,4,1,3,2,8]
[4,6,3,5,1,7,2,8]=>[5,7,6,4,3,1,2,8]
[6,7,3,5,1,4,2,8]=>[5,4,7,1,3,6,2,8]
[5,6,3,7,1,4,2,8]=>[7,4,6,1,5,3,2,8]
[5,7,1,6,3,4,2,8]=>[7,4,6,3,5,1,2,8]
[1,8,5,6,3,4,2,7]=>[1,4,6,3,8,5,2,7]
[1,8,5,6,4,7,2,3]=>[1,7,2,6,8,5,4,3]
[5,7,1,6,4,8,2,3]=>[7,8,2,6,5,1,4,3]
[4,6,5,8,1,7,2,3]=>[8,7,2,4,6,5,1,3]
[3,7,1,4,2,8,5,6]=>[7,4,3,1,8,5,2,6]
[3,5,1,4,2,8,6,7]=>[5,4,3,1,2,8,6,7]
[4,6,5,8,3,7,1,2]=>[7,1,8,4,6,5,3,2]
[4,6,5,8,2,3,1,7]=>[3,8,2,4,6,5,1,7]
[3,4,2,6,5,8,1,7]=>[8,4,3,2,6,5,1,7]
[3,5,4,6,2,8,1,7]=>[8,6,3,5,4,2,1,7]
[1,8,3,5,4,7,2,6]=>[1,7,8,5,3,2,4,6]
[3,4,2,7,1,8,5,6]=>[7,4,3,2,8,5,1,6]
[4,7,2,3,1,8,5,6]=>[3,7,2,4,8,5,1,6]
[2,4,3,8,1,7,5,6]=>[8,2,4,3,7,5,1,6]
[2,5,3,8,4,7,1,6]=>[7,2,5,8,3,1,4,6]
[2,6,3,8,1,7,4,5]=>[8,2,6,7,4,3,1,5]
[2,7,1,8,3,6,4,5]=>[7,2,8,6,4,3,1,5]
[1,2,8,7,4,6,3,5]=>[1,2,6,7,3,4,8,5]
[3,7,4,8,6,1,5,2]=>[6,5,3,8,4,7,1,2]
[4,5,1,8,7,6,2,3]=>[5,6,2,4,1,7,8,3]
[1,5,2,8,7,6,3,4]=>[1,5,6,3,2,7,8,4]
[5,1,2,8,7,6,3,4]=>[5,1,6,3,2,7,8,4]
[4,1,5,8,7,6,2,3]=>[4,6,2,1,5,7,8,3]
[2,3,6,8,7,4,5,1]=>[5,2,3,7,4,6,8,1]
[2,3,7,8,6,4,5,1]=>[5,2,3,6,4,8,7,1]
[4,5,7,8,2,6,3,1]=>[3,6,8,4,5,1,7,2]
[4,5,6,8,2,7,3,1]=>[3,7,8,4,5,6,1,2]
[5,2,6,8,3,7,4,1]=>[4,7,5,8,3,6,1,2]
[3,1,6,8,7,4,5,2]=>[3,5,1,7,4,6,8,2]
[6,1,4,8,7,2,5,3]=>[6,7,5,1,2,4,8,3]
[6,1,8,4,7,3,5,2]=>[6,5,7,8,3,1,4,2]
[5,8,3,4,7,1,6,2]=>[7,6,8,3,5,1,4,2]
[6,8,3,5,7,1,4,2]=>[7,4,8,1,3,6,5,2]
[3,1,7,8,6,4,5,2]=>[3,5,1,6,4,8,7,2]
[5,2,7,8,3,6,4,1]=>[4,6,5,8,3,1,7,2]
[4,6,7,8,2,5,3,1]=>[3,5,8,4,1,6,7,2]
[7,4,5,2,8,6,3,1]=>[3,6,5,8,2,7,1,4]
[7,5,8,4,2,6,3,1]=>[3,6,4,8,7,1,5,2]
[6,8,4,5,2,7,3,1]=>[3,7,5,8,4,6,1,2]
[6,8,2,5,3,7,4,1]=>[4,7,8,5,3,6,1,2]
[6,3,8,4,2,7,5,1]=>[5,4,7,8,6,1,2,3]
[7,2,5,3,8,6,4,1]=>[4,6,8,5,2,7,1,3]
[3,4,7,5,8,6,2,1]=>[2,6,3,4,8,7,1,5]
[3,6,7,4,8,5,2,1]=>[2,5,3,8,7,6,1,4]
[6,7,4,2,8,5,3,1]=>[3,5,4,8,7,6,2,1]
[4,7,5,2,8,6,3,1]=>[3,6,5,4,8,7,2,1]
[2,7,5,3,8,6,4,1]=>[4,2,6,5,8,7,3,1]
[5,6,2,8,3,7,4,1]=>[4,7,6,8,5,3,1,2]
[5,7,8,3,2,6,4,1]=>[4,3,6,8,5,1,7,2]
[5,6,8,3,2,7,4,1]=>[4,3,7,8,5,6,1,2]
[3,6,8,4,2,7,5,1]=>[5,4,3,7,8,6,1,2]
[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]
[5,8,4,7,2,3,6,1]=>[6,7,2,8,5,3,4,1]
[5,6,8,1,3,7,4,2]=>[8,4,1,7,5,6,3,2]
[6,7,4,8,1,5,3,2]=>[8,3,5,7,1,6,4,2]
[5,7,2,8,3,6,4,1]=>[4,6,7,8,5,1,3,2]
[1,7,4,8,6,2,5,3]=>[1,6,5,8,4,7,2,3]
[7,4,2,8,6,1,5,3]=>[6,4,8,5,3,7,1,2]
[6,8,5,3,7,2,4,1]=>[4,7,5,2,8,6,3,1]
[6,8,5,2,3,7,4,1]=>[4,7,1,5,8,6,3,2]
[7,5,3,8,2,6,4,1]=>[4,6,8,5,7,3,1,2]
[7,5,2,3,8,6,4,1]=>[4,6,2,5,8,7,3,1]
[3,7,4,5,8,6,2,1]=>[2,6,3,8,1,7,5,4]
[6,7,3,4,8,5,2,1]=>[2,5,8,1,7,6,4,3]
[3,6,4,7,8,5,2,1]=>[2,5,3,8,6,1,7,4]
[6,4,2,7,8,5,3,1]=>[3,5,4,8,6,2,7,1]
[7,4,2,5,8,6,3,1]=>[3,6,4,8,2,7,5,1]
[6,1,8,3,4,7,5,2]=>[6,5,7,2,8,1,4,3]
[6,8,4,2,5,7,3,1]=>[3,7,4,8,1,6,5,2]
[7,5,8,3,4,6,2,1]=>[2,6,8,3,7,4,5,1]
[7,4,5,8,1,6,3,2]=>[8,3,6,7,4,1,5,2]
[6,3,4,7,8,5,2,1]=>[2,5,8,1,6,4,7,3]
[6,1,7,3,4,5,8,2]=>[6,8,7,3,4,1,5,2]
[5,7,2,3,4,1,8,6]=>[4,7,2,3,5,8,1,6]
[2,7,1,8,4,5,6,3]=>[7,2,6,8,4,5,1,3]
[2,6,8,3,4,5,1,7]=>[5,2,8,3,4,6,1,7]
[6,1,2,7,4,5,8,3]=>[6,1,8,7,4,2,5,3]
[4,7,2,3,1,5,8,6]=>[3,7,2,4,1,8,5,6]
[2,7,1,3,8,5,6,4]=>[7,2,1,6,8,5,3,4]
[2,6,7,8,4,5,3,1]=>[3,2,5,8,4,6,7,1]
[2,5,8,3,4,1,6,7]=>[4,2,8,3,5,1,6,7]
[5,6,2,7,4,3,8,1]=>[8,6,4,7,5,2,3,1]
[4,6,7,3,2,5,8,1]=>[8,3,7,4,2,6,5,1]
[2,6,7,3,8,5,4,1]=>[4,2,5,8,7,6,3,1]
[2,6,1,8,4,5,3,7]=>[6,2,5,8,4,1,3,7]
[2,5,7,8,4,3,6,1]=>[6,2,4,8,5,3,7,1]
[3,6,8,4,5,7,1,2]=>[7,1,3,8,4,6,5,2]
[1,6,8,4,7,2,3,5]=>[1,7,2,8,3,6,4,5]
[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]
[3,4,5,7,8,6,1,2]=>[6,1,3,4,5,8,7,2]
[3,4,5,7,6,8,1,2]=>[8,1,3,4,5,7,6,2]
[3,6,7,4,8,5,1,2]=>[5,1,3,8,7,6,2,4]
[3,4,5,6,8,7,1,2]=>[7,1,3,4,5,6,8,2]
[1,4,5,8,7,2,3,6]=>[1,7,2,4,5,3,8,6]
[1,2,5,8,3,6,4,7]=>[1,2,8,6,5,3,4,7]
[1,4,5,8,6,2,3,7]=>[1,6,2,4,5,8,3,7]
[7,8,1,4,6,2,3,5]=>[8,6,2,1,3,4,7,5]
[1,6,7,4,8,2,5,3]=>[1,8,5,7,2,6,4,3]
[1,4,5,6,8,2,7,3]=>[1,8,7,4,5,6,2,3]
[1,4,5,8,6,2,7,3]=>[1,6,8,4,5,7,3,2]
[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]
[1,6,7,2,3,5,8,4]=>[1,7,2,8,3,6,5,4]
[7,8,1,2,3,5,4,6]=>[8,1,2,5,3,4,7,6]
[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]
[1,4,5,7,6,2,3,8]=>[1,6,2,4,5,7,3,8]
[1,2,5,7,3,6,4,8]=>[1,2,7,6,5,3,4,8]
[1,2,5,7,3,6,8,4]=>[1,2,7,8,5,3,6,4]
[1,6,8,2,3,5,7,4]=>[1,8,2,7,3,6,5,4]
[1,6,8,4,5,2,3,7]=>[1,5,2,8,4,6,3,7]
[1,6,8,4,5,2,7,3]=>[1,5,7,8,4,6,2,3]
[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]
[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]
[1,4,5,7,6,2,8,3]=>[1,6,7,4,5,8,3,2]
[7,8,1,4,5,2,6,3]=>[8,5,6,1,4,2,7,3]
[7,8,1,2,3,4,6,5]=>[8,1,2,3,6,4,7,5]
[7,8,1,2,3,6,4,5]=>[8,1,2,6,4,3,7,5]
[1,6,7,2,3,8,5,4]=>[1,7,2,5,8,6,3,4]
[1,2,5,6,3,8,7,4]=>[1,2,6,7,5,3,8,4]
[4,2,1,6,5,3,8,7]=>[2,4,5,1,6,3,8,7]
[8,2,4,3,1,6,5,7]=>[3,4,8,1,6,2,5,7]
[6,2,4,3,1,8,7,5]=>[3,4,6,1,7,2,8,5]
[4,2,6,3,5,1,8,7]=>[5,4,6,2,3,1,8,7]
[4,6,2,1,5,8,7,3]=>[2,6,7,4,1,5,8,3]
[4,6,5,2,1,8,7,3]=>[2,5,6,4,7,3,8,1]
[2,1,6,4,3,8,7,5]=>[2,1,4,6,7,3,8,5]
[4,8,2,1,6,7,3,5]=>[2,8,7,4,3,1,6,5]
[6,8,2,1,4,3,7,5]=>[2,8,4,1,7,6,3,5]
[8,6,2,4,3,1,5,7]=>[3,4,6,1,2,8,5,7]
[6,8,2,4,3,1,7,5]=>[3,4,8,1,7,6,2,5]
[6,8,7,2,4,3,1,5]=>[3,4,7,1,2,6,8,5]
[2,1,8,4,6,5,3,7]=>[2,1,5,6,8,3,4,7]
[2,1,6,4,8,5,7,3]=>[2,1,7,6,8,4,5,3]
[4,6,5,2,8,3,7,1]=>[7,5,6,4,8,3,2,1]
[2,6,4,5,8,3,7,1]=>[7,2,8,6,4,5,3,1]
[6,4,2,8,3,5,7,1]=>[7,4,6,8,2,3,5,1]
[8,4,2,6,3,5,1,7]=>[5,4,8,6,2,3,1,7]
[6,2,4,8,5,3,7,1]=>[7,6,5,2,8,4,3,1]
[4,2,6,3,5,8,7,1]=>[7,4,6,2,3,5,8,1]
[4,2,6,3,8,7,5,1]=>[5,4,7,2,6,1,8,3]
[6,2,4,3,8,5,7,1]=>[7,6,4,2,8,3,5,1]
[8,2,4,3,6,5,1,7]=>[5,6,4,1,8,3,2,7]
[8,2,1,4,6,5,3,7]=>[2,8,5,1,6,4,3,7]
[6,2,1,4,8,5,7,3]=>[2,6,7,1,8,4,5,3]
[6,2,1,8,7,4,3,5]=>[2,6,4,7,3,1,8,5]
[6,2,1,8,4,3,7,5]=>[2,6,4,8,7,1,3,5]
[8,4,6,5,2,1,3,7]=>[2,5,1,6,8,3,4,7]
[6,4,8,5,2,1,7,3]=>[2,5,8,7,6,1,3,4]
[6,4,8,5,7,2,1,3]=>[2,7,1,6,8,4,5,3]
[4,6,8,7,5,2,1,3]=>[2,5,1,4,7,6,8,3]
[2,1,4,8,6,7,3,5]=>[2,1,7,4,3,8,6,5]
[2,6,8,7,4,5,1,3]=>[5,2,1,7,4,6,8,3]
[2,4,8,6,7,5,1,3]=>[5,2,1,4,7,8,6,3]
[4,2,8,6,5,7,1,3]=>[7,4,1,2,6,8,5,3]
[8,2,6,4,5,1,3,7]=>[5,8,1,6,4,2,3,7]
[8,4,6,2,1,5,3,7]=>[2,6,5,8,1,4,3,7]
[4,6,8,7,2,1,5,3]=>[2,7,5,4,1,6,8,3]
[4,6,5,8,2,1,7,3]=>[2,8,7,4,6,5,1,3]
[2,1,6,8,4,3,7,5]=>[2,1,4,8,7,6,3,5]
[6,8,7,4,2,1,3,5]=>[2,4,1,7,3,6,8,5]
[2,8,6,4,7,1,3,5]=>[7,2,1,6,3,8,4,5]
[4,8,6,2,1,7,3,5]=>[2,6,8,4,1,7,3,5]
[2,8,5,3,1,4,6,7]=>[3,2,5,1,8,4,6,7]
[2,7,4,8,3,5,1,6]=>[5,2,8,7,3,1,4,6]
[2,7,4,8,3,5,6,1]=>[6,2,8,7,3,5,4,1]
[7,2,8,4,3,5,1,6]=>[5,7,4,8,3,1,2,6]
[8,4,2,1,5,3,6,7]=>[2,4,8,5,3,1,6,7]
[8,5,1,4,2,3,6,7]=>[5,4,2,1,8,3,6,7]
[8,4,1,5,3,2,6,7]=>[4,3,8,5,2,1,6,7]
[6,7,3,8,4,2,5,1]=>[5,4,8,7,3,6,2,1]
[6,7,3,8,4,2,1,5]=>[2,4,8,7,3,6,1,5]
[7,1,8,4,3,5,2,6]=>[7,5,4,8,3,2,1,6]
[1,7,8,4,3,5,2,6]=>[1,5,4,8,3,2,7,6]
[7,1,4,8,3,5,2,6]=>[7,5,8,1,3,2,4,6]
[7,4,8,1,5,6,2,3]=>[8,6,2,7,1,5,4,3]
[7,1,8,4,3,5,6,2]=>[7,6,4,8,3,5,1,2]
[6,7,3,1,8,4,5,2]=>[3,7,5,8,4,6,2,1]
[6,7,3,8,4,5,2,1]=>[2,5,7,8,4,6,3,1]
[6,7,1,4,8,3,5,2]=>[7,5,8,1,3,6,4,2]
[6,7,4,1,3,8,2,5]=>[4,7,2,8,1,6,3,5]
[1,6,7,8,4,3,2,5]=>[1,3,4,8,2,6,7,5]
[7,2,1,8,4,5,3,6]=>[2,7,5,8,4,3,1,6]
[6,2,7,1,8,4,3,5]=>[7,6,4,8,3,2,1,5]
[6,2,7,8,4,3,1,5]=>[3,4,8,6,1,2,7,5]
[6,2,7,8,4,3,5,1]=>[5,6,4,8,3,2,7,1]
[2,6,7,4,8,3,5,1]=>[5,2,8,7,3,6,4,1]
[2,6,7,4,8,3,1,5]=>[3,2,8,7,1,6,4,5]
[7,8,1,3,6,2,4,5]=>[8,6,1,2,4,3,7,5]
[1,2,7,8,6,3,4,5]=>[1,2,6,3,4,8,7,5]
[2,6,7,1,8,5,3,4]=>[7,2,5,3,8,6,1,4]
[2,6,7,8,5,3,1,4]=>[3,2,5,1,8,6,7,4]
[2,6,7,8,5,3,4,1]=>[4,2,5,3,8,6,7,1]
[6,2,7,8,4,5,3,1]=>[3,5,6,8,4,1,7,2]
[7,2,1,8,4,5,6,3]=>[2,7,6,8,4,5,1,3]
[1,7,2,8,4,5,6,3]=>[1,7,6,8,4,5,2,3]
[3,7,8,1,5,6,2,4]=>[8,6,3,2,1,5,7,4]
[6,3,7,8,1,5,2,4]=>[8,5,6,2,1,3,7,4]
[6,7,1,2,8,5,3,4]=>[7,1,5,3,8,6,2,4]
[1,6,7,8,4,2,5,3]=>[1,4,8,5,3,6,7,2]
[3,1,2,7,6,5,8,4]=>[3,1,2,8,6,7,5,4]
[6,1,2,4,7,3,8,5]=>[6,1,7,2,8,4,3,5]
[1,7,5,3,6,4,8,2]=>[1,8,5,7,6,4,3,2]
[5,1,2,6,7,4,8,3]=>[5,1,8,7,2,6,4,3]
[4,1,5,7,3,2,6,8]=>[4,3,7,1,5,2,6,8]
[4,6,1,7,3,2,5,8]=>[6,3,7,4,2,1,5,8]
[4,6,1,8,3,2,5,7]=>[6,3,8,4,2,1,5,7]
[4,7,1,8,3,5,2,6]=>[7,5,8,4,3,2,1,6]
[4,1,7,8,6,2,3,5]=>[4,6,2,1,3,8,7,5]
[1,6,5,7,8,3,4,2]=>[1,4,8,3,6,5,7,2]
[1,6,5,8,7,3,4,2]=>[1,4,7,3,6,5,8,2]
[4,1,8,7,6,2,3,5]=>[4,6,2,1,3,7,8,5]
[4,8,1,7,3,5,2,6]=>[8,5,7,4,3,2,1,6]
[4,8,1,6,3,2,5,7]=>[8,3,6,4,2,1,5,7]
[4,7,1,6,3,2,5,8]=>[7,3,6,4,2,1,5,8]
[6,1,2,3,7,5,4,8]=>[6,1,2,5,7,3,4,8]
[6,8,1,5,3,7,2,4]=>[8,7,5,2,1,6,3,4]
[8,7,5,2,4,1,6,3]=>[4,5,7,3,6,1,8,2]
[1,5,7,3,4,8,6,2]=>[1,6,8,2,5,7,4,3]
[1,5,8,3,4,7,6,2]=>[1,6,7,2,5,8,4,3]
[7,8,5,2,4,1,6,3]=>[4,5,8,3,6,1,7,2]
[7,1,2,3,5,6,4,8]=>[7,1,2,6,3,5,4,8]
[8,1,2,3,5,6,4,7]=>[8,1,2,6,3,5,4,7]
[8,1,2,3,5,4,7,6]=>[8,1,2,5,3,7,4,6]
[7,1,8,4,6,3,2,5]=>[7,3,6,8,2,4,1,5]
[6,8,2,4,3,1,5,7]=>[3,4,8,1,2,6,5,7]
[6,7,2,4,3,1,5,8]=>[3,4,7,1,2,6,5,8]
[3,8,1,2,4,5,7,6]=>[8,1,3,2,4,7,5,6]
[3,7,1,8,6,4,2,5]=>[7,4,3,6,2,8,1,5]
[1,6,4,3,7,5,8,2]=>[1,8,4,6,7,3,5,2]
[3,1,2,6,7,5,8,4]=>[3,1,2,8,7,6,5,4]
[3,8,1,7,6,4,2,5]=>[8,4,3,6,2,7,1,5]
[7,6,2,4,3,1,5,8]=>[3,4,6,1,2,7,5,8]
[8,7,2,4,3,5,1,6]=>[5,7,4,2,3,1,8,6]
[8,1,7,4,6,3,2,5]=>[8,3,6,7,2,4,1,5]
[8,1,7,6,5,3,2,4]=>[8,3,5,2,6,7,1,4]
[1,5,7,3,4,6,8,2]=>[1,8,7,3,5,4,6,2]
[8,7,2,5,3,6,1,4]=>[6,7,5,1,2,3,8,4]
[7,1,2,3,5,4,8,6]=>[7,1,2,5,3,8,4,6]
[6,1,2,3,5,8,4,7]=>[6,1,2,8,3,5,4,7]
[6,1,2,3,5,7,4,8]=>[6,1,2,7,3,5,4,8]
[5,1,2,3,7,6,4,8]=>[5,1,2,6,3,7,4,8]
[5,1,2,3,8,6,4,7]=>[5,1,2,6,3,8,4,7]
[1,5,6,3,4,7,8,2]=>[1,8,6,3,5,4,7,2]
[8,6,5,2,4,7,1,3]=>[7,5,1,2,6,8,4,3]
[7,6,2,5,3,1,8,4]=>[3,5,6,7,4,8,2,1]
[7,4,5,2,3,8,6,1]=>[6,5,2,8,1,7,3,4]
[8,2,3,7,4,5,1,6]=>[5,8,2,7,4,1,3,6]
[8,4,7,3,2,5,1,6]=>[5,3,7,8,2,1,4,6]
[5,4,6,3,1,2,8,7]=>[3,1,6,5,4,2,8,7]
[4,6,2,3,1,5,8,7]=>[3,6,2,4,1,5,8,7]
[7,2,3,4,5,8,6,1]=>[6,8,1,3,4,7,5,2]
[8,2,3,4,5,7,1,6]=>[7,8,2,3,4,1,5,6]
[7,3,4,6,8,5,1,2]=>[5,1,8,2,7,4,6,3]
[4,7,3,2,8,6,1,5]=>[6,3,8,4,2,7,1,5]
[3,7,4,5,1,8,6,2]=>[5,6,3,8,2,7,1,4]
[3,8,2,6,7,4,5,1]=>[5,8,3,7,4,2,6,1]
[4,8,1,5,6,7,3,2]=>[8,3,7,4,1,5,6,2]
[5,8,2,4,6,7,1,3]=>[7,8,1,2,5,4,6,3]
[6,8,1,3,4,2,7,5]=>[8,4,1,3,7,6,2,5]
[5,8,2,4,3,1,7,6]=>[3,4,8,1,5,7,2,6]
[2,1,7,6,8,5,3,4]=>[2,1,5,3,8,7,6,4]
[3,7,6,1,8,5,2,4]=>[6,5,3,1,7,8,2,4]
[4,7,2,3,8,5,1,6]=>[5,8,1,4,7,2,3,6]
[7,1,3,6,4,8,5,2]=>[7,5,1,8,6,3,2,4]
[7,6,1,4,8,5,2,3]=>[6,5,1,2,7,8,4,3]
[6,2,3,7,8,5,4,1]=>[4,5,2,8,6,3,7,1]
[6,2,3,8,4,5,1,7]=>[5,6,2,8,4,3,1,7]
[7,2,3,6,8,4,1,5]=>[4,8,1,7,2,3,6,5]
[8,2,3,5,7,1,4,6]=>[7,8,2,1,3,4,5,6]
[6,4,8,3,5,1,7,2]=>[5,7,8,6,3,4,1,2]
[5,4,8,3,6,7,1,2]=>[7,1,8,5,4,3,6,2]
[3,5,1,8,4,6,7,2]=>[5,7,3,8,1,4,6,2]
[3,6,1,8,4,5,2,7]=>[6,5,3,8,4,1,2,7]
[4,6,8,3,5,2,7,1]=>[7,5,8,4,3,6,2,1]
[5,7,8,3,2,4,1,6]=>[4,3,8,2,5,1,7,6]
[4,8,2,3,5,6,1,7]=>[6,8,2,4,3,5,1,7]
[6,8,2,3,1,4,5,7]=>[3,8,2,1,4,6,5,7]
[5,2,7,4,8,3,1,6]=>[3,8,5,7,1,2,4,6]
[3,7,8,2,1,4,6,5]=>[2,8,3,1,6,4,7,5]
[3,7,5,2,8,4,1,6]=>[4,8,3,5,7,2,1,6]
[6,3,2,4,1,8,7,5]=>[4,3,6,2,7,1,8,5]
[7,2,3,4,8,5,1,6]=>[5,8,1,3,7,2,4,6]
[5,7,3,1,4,2,6,8]=>[3,7,4,2,5,1,6,8]
[3,7,4,1,8,2,5,6]=>[4,7,3,8,1,5,2,6]
[6,3,7,4,8,1,2,5]=>[8,1,6,7,2,3,4,5]
[8,3,7,4,2,6,1,5]=>[6,4,7,8,1,3,2,5]
[3,7,4,1,5,6,2,8]=>[4,7,3,6,2,5,1,8]
[1,8,3,2,4,5,7,6]=>[1,3,8,2,4,7,5,6]
[8,4,1,6,3,7,5,2]=>[4,8,5,7,6,2,3,1]
[8,7,4,2,1,6,3,5]=>[2,4,7,6,1,3,8,5]
[8,3,5,2,7,4,1,6]=>[4,7,5,8,1,2,3,6]
[1,5,3,8,7,6,4,2]=>[1,4,6,5,2,7,8,3]
[7,2,4,8,1,3,6,5]=>[8,7,1,2,6,3,4,5]
[1,2,8,7,5,6,3,4]=>[1,2,6,3,7,5,8,4]
[3,1,8,6,7,5,2,4]=>[3,5,1,2,7,8,6,4]
[1,4,8,6,5,7,2,3]=>[1,7,2,4,6,8,5,3]
[1,6,5,4,8,2,3,7]=>[1,8,2,5,6,4,3,7]
[5,1,6,8,3,4,2,7]=>[5,4,8,3,1,6,2,7]
[6,2,5,1,7,4,3,8]=>[5,6,4,7,2,1,3,8]
[5,2,1,8,7,4,3,6]=>[2,5,4,7,1,3,8,6]
[5,2,6,3,8,1,4,7]=>[8,5,6,1,2,3,4,7]
[5,2,8,3,4,6,1,7]=>[6,5,8,3,2,4,1,7]
[6,2,8,4,3,1,7,5]=>[3,4,8,6,7,2,1,5]
[7,2,8,1,3,6,5,4]=>[8,7,1,5,6,3,2,4]
[7,3,8,1,4,6,2,5]=>[8,6,7,1,2,4,3,5]
[1,7,8,5,4,6,3,2]=>[1,3,6,5,8,4,7,2]
[1,5,8,4,6,3,7,2]=>[1,7,6,8,5,4,3,2]
[5,3,8,4,1,2,7,6]=>[4,1,8,5,2,7,3,6]
[5,8,4,3,6,2,1,7]=>[2,6,4,8,5,3,1,7]
[1,8,3,6,5,2,7,4]=>[1,5,6,8,7,4,3,2]
[1,8,2,4,7,6,5,3]=>[1,8,5,2,6,7,4,3]
[3,8,1,4,6,7,5,2]=>[8,5,3,1,7,4,6,2]
[3,8,2,5,1,7,6,4]=>[5,8,3,6,2,7,1,4]
[4,3,8,2,5,1,6,7]=>[5,8,4,3,2,1,6,7]
[8,2,4,3,5,1,7,6]=>[5,8,4,2,3,7,1,6]
[8,2,1,4,6,5,7,3]=>[2,8,7,1,6,4,5,3]
[8,1,3,4,5,7,6,2]=>[8,6,1,3,4,7,5,2]
[6,1,5,2,4,7,8,3]=>[6,5,8,2,1,4,7,3]
[4,1,8,5,2,7,6,3]=>[4,5,8,1,6,7,3,2]
[4,8,5,1,3,6,2,7]=>[5,8,2,4,6,3,1,7]
[3,6,1,5,7,2,8,4]=>[6,7,3,8,1,5,2,4]
[6,3,1,2,8,5,7,4]=>[3,1,6,7,8,2,5,4]
[4,1,8,2,3,7,5,6]=>[4,8,2,1,7,5,3,6]
[5,3,8,7,2,1,4,6]=>[2,7,5,1,3,4,8,6]
[6,7,3,5,1,4,8,2]=>[5,8,7,1,3,6,4,2]
[6,4,7,5,8,2,3,1]=>[3,8,2,6,7,4,5,1]
[5,7,8,4,2,6,3,1]=>[3,6,4,8,5,1,7,2]
[5,4,7,6,2,8,3,1]=>[3,8,6,5,4,7,1,2]
[5,7,4,1,6,8,3,2]=>[4,3,7,8,5,2,6,1]
[6,8,4,5,7,1,3,2]=>[7,3,1,8,4,6,5,2]
[5,8,4,6,1,7,3,2]=>[6,3,7,8,5,4,1,2]
[5,6,1,4,7,8,3,2]=>[6,3,8,1,5,4,7,2]
[5,6,7,2,4,8,3,1]=>[3,8,7,1,5,6,4,2]
[5,6,3,7,4,8,2,1]=>[2,8,6,7,5,3,4,1]
[5,3,6,7,4,8,2,1]=>[2,8,5,7,3,6,4,1]
[5,3,2,8,6,7,4,1]=>[4,3,7,5,1,8,6,2]
[5,4,8,2,6,7,3,1]=>[3,7,8,5,4,1,6,2]
[5,4,8,6,2,7,3,1]=>[3,7,6,5,4,8,1,2]
[6,4,8,5,7,2,3,1]=>[3,7,2,6,8,4,5,1]
[7,4,8,5,6,2,1,3]=>[2,6,1,7,8,5,4,3]
[4,6,8,5,7,2,3,1]=>[3,7,2,4,8,6,5,1]
[5,6,8,2,4,7,3,1]=>[3,7,8,1,5,6,4,2]
[5,6,3,8,4,7,2,1]=>[2,7,6,8,5,3,4,1]
[4,6,3,5,8,7,2,1]=>[2,7,6,4,3,5,8,1]
[4,6,3,2,8,7,5,1]=>[5,3,7,4,6,1,8,2]
[5,6,3,8,2,7,4,1]=>[4,7,8,6,5,1,3,2]
[3,6,5,8,7,2,4,1]=>[4,7,3,2,6,5,8,1]
[5,3,6,8,2,7,4,1]=>[4,7,8,5,1,6,3,2]
[4,3,7,2,8,6,5,1]=>[5,6,4,3,8,7,2,1]
[5,4,7,2,6,8,3,1]=>[3,8,7,5,4,1,6,2]
[5,3,2,7,6,8,4,1]=>[4,3,8,5,1,7,6,2]
[6,7,3,8,5,2,4,1]=>[4,5,8,3,7,6,2,1]
[6,3,2,7,5,4,8,1]=>[8,3,6,5,7,2,4,1]
[6,4,7,2,5,3,8,1]=>[8,7,5,6,2,4,3,1]
[6,2,7,5,1,4,8,3]=>[5,7,6,2,8,3,4,1]
[2,7,8,5,3,6,1,4]=>[6,2,5,1,8,3,7,4]
[6,3,7,8,4,2,5,1]=>[5,4,8,6,3,2,7,1]
[3,5,7,8,4,6,2,1]=>[2,6,3,8,5,4,7,1]
[5,3,7,8,4,6,2,1]=>[2,6,5,8,3,4,7,1]
[5,7,8,2,4,6,3,1]=>[3,6,8,1,5,4,7,2]
[2,5,8,4,3,7,6,1]=>[6,2,4,7,5,8,1,3]
[2,6,8,4,7,3,5,1]=>[5,2,7,8,3,6,4,1]
[3,7,4,8,6,2,1,5]=>[2,6,3,8,4,7,1,5]
[3,6,4,8,7,2,5,1]=>[5,7,3,6,2,4,8,1]
[3,5,4,8,2,7,6,1]=>[6,7,3,5,4,8,1,2]
[4,3,7,5,8,6,2,1]=>[2,6,4,3,8,7,1,5]
[4,5,7,3,8,6,2,1]=>[2,6,8,4,5,7,1,3]
[3,5,6,8,4,7,2,1]=>[2,7,3,8,5,6,4,1]
[6,3,1,8,7,5,4,2]=>[3,6,4,5,7,2,8,1]
[5,4,8,1,7,6,3,2]=>[8,3,6,5,4,7,1,2]
[5,8,4,1,7,6,3,2]=>[4,3,8,6,5,7,2,1]
[7,5,4,1,8,6,3,2]=>[4,3,5,7,6,8,1,2]
[8,5,4,1,7,6,3,2]=>[4,3,5,8,6,7,1,2]
[1,8,2,5,6,3,4,7]=>[1,8,6,3,2,5,4,7]
[7,2,8,4,5,1,3,6]=>[5,7,1,8,4,3,2,6]
[1,3,7,5,6,2,4,8]=>[1,6,3,2,7,5,4,8]
[1,6,7,4,3,5,2,8]=>[1,5,4,7,3,6,2,8]
[1,8,5,2,3,7,4,6]=>[1,5,2,8,7,3,4,6]
[1,8,2,5,3,6,7,4]=>[1,8,5,7,2,3,6,4]
[2,6,8,4,3,5,7,1]=>[7,2,4,8,3,6,5,1]
[7,5,8,3,2,1,6,4]=>[2,3,8,6,7,1,5,4]
[7,2,8,4,1,5,6,3]=>[4,8,7,6,2,5,3,1]
[7,5,8,1,2,6,3,4]=>[8,1,6,3,7,2,5,4]
[1,6,7,4,3,2,8,5]=>[1,3,4,7,8,6,2,5]
[1,5,2,6,4,7,8,3]=>[1,5,8,6,2,4,7,3]
[1,5,4,6,2,3,7,8]=>[1,6,2,5,4,3,7,8]
[6,2,5,7,1,4,8,3]=>[7,6,8,1,2,5,4,3]
[6,5,4,3,8,1,7,2]=>[8,7,4,5,6,3,1,2]
[7,3,6,8,5,2,4,1]=>[4,5,8,3,7,2,6,1]
[2,7,8,3,6,5,1,4]=>[5,2,6,3,8,1,7,4]
[2,7,8,5,4,6,3,1]=>[3,2,6,5,8,4,7,1]
[2,6,5,8,3,4,1,7]=>[4,2,8,3,6,5,1,7]
[2,6,5,7,3,4,1,8]=>[4,2,7,3,6,5,1,8]
[6,2,5,7,4,1,3,8]=>[4,7,2,6,1,5,3,8]
[6,2,5,8,4,1,3,7]=>[4,8,2,6,1,5,3,7]
[2,7,8,4,6,1,3,5]=>[6,2,1,8,3,4,7,5]
[6,1,2,8,3,7,4,5]=>[6,1,8,7,4,2,3,5]
[6,1,2,8,5,4,7,3]=>[6,1,7,5,8,2,4,3]
[6,2,5,7,8,1,3,4]=>[8,6,1,3,2,5,7,4]
[1,5,4,2,6,7,3,8]=>[1,4,5,7,3,6,2,8]
[2,6,5,7,3,8,1,4]=>[8,2,7,1,6,5,3,4]
[1,6,2,7,5,8,4,3]=>[1,6,4,8,7,2,5,3]
[1,3,2,7,8,5,6,4]=>[1,3,2,6,8,5,7,4]
[1,6,2,4,8,7,3,5]=>[1,6,7,2,3,4,8,5]
[6,5,2,1,8,7,3,4]=>[2,5,6,1,7,3,8,4]
[2,6,5,3,7,8,4,1]=>[4,2,8,5,6,1,7,3]
[6,2,5,3,8,4,7,1]=>[7,6,5,8,2,3,4,1]
[6,5,2,3,8,7,1,4]=>[7,5,2,1,6,3,8,4]
[5,4,1,2,3,8,6,7]=>[4,1,2,5,3,8,6,7]
[5,1,4,2,3,7,8,6]=>[5,4,2,1,3,8,7,6]
[1,5,4,2,6,3,8,7]=>[1,4,5,6,3,2,8,7]
[5,1,6,3,8,2,7,4]=>[5,8,6,7,1,3,2,4]
[1,8,7,6,2,5,4,3]=>[1,6,4,5,2,7,8,3]
[5,2,7,4,1,6,3,8]=>[4,7,5,6,3,2,1,8]
[4,7,3,1,5,6,2,8]=>[3,7,6,4,2,5,1,8]
[5,8,3,4,1,6,7,2]=>[4,7,8,3,5,1,6,2]
[1,7,8,4,5,6,2,3]=>[1,6,2,8,4,5,7,3]
[1,5,8,4,2,6,7,3]=>[1,4,8,7,5,3,6,2]
[1,6,3,8,5,2,7,4]=>[1,5,8,6,7,4,3,2]
[5,2,3,7,1,6,4,8]=>[7,5,2,6,3,1,4,8]
[6,2,3,7,5,1,4,8]=>[5,7,1,2,6,3,4,8]
[1,7,3,4,8,6,2,5]=>[1,6,8,2,3,7,4,5]
[6,2,3,4,8,1,7,5]=>[8,6,2,3,7,4,1,5]
[8,7,3,2,1,6,5,4]=>[2,3,7,5,6,1,8,4]
[8,7,6,3,1,5,2,4]=>[3,6,5,1,2,7,8,4]
[8,5,1,7,2,3,4,6]=>[5,8,1,3,7,4,2,6]
[2,4,8,5,3,7,1,6]=>[7,2,5,4,8,1,3,6]
[2,4,1,8,5,3,7,6]=>[4,2,5,1,8,7,3,6]
[2,4,8,6,3,1,7,5]=>[3,2,6,4,8,7,5,1]
[3,4,6,8,2,1,7,5]=>[2,8,3,4,7,6,1,5]
[3,4,1,5,8,2,7,6]=>[4,8,3,1,5,7,2,6]
[8,1,4,5,3,2,7,6]=>[8,3,5,1,4,7,2,6]
[3,4,1,5,2,8,7,6]=>[4,5,3,1,2,7,8,6]
[3,4,6,2,1,8,7,5]=>[2,6,3,4,7,1,8,5]
[3,5,6,2,1,7,8,4]=>[2,6,3,8,5,1,7,4]
[3,4,6,2,7,8,1,5]=>[8,6,3,4,1,2,7,5]
[8,1,4,6,3,7,2,5]=>[8,7,6,1,2,4,3,5]
[8,1,4,6,3,7,5,2]=>[8,5,7,1,6,4,2,3]
[3,5,6,2,1,7,4,8]=>[2,6,3,7,5,1,4,8]
[8,1,5,6,7,3,4,2]=>[8,4,7,3,1,5,6,2]
[8,1,5,6,7,3,2,4]=>[8,3,7,2,1,5,6,4]
[3,4,1,6,8,7,2,5]=>[4,7,3,1,2,6,8,5]
[3,5,6,1,8,7,2,4]=>[6,7,3,2,5,1,8,4]
[2,1,3,8,6,7,4,5]=>[2,1,3,7,4,8,6,5]
[8,1,3,2,6,7,5,4]=>[8,3,1,5,7,2,6,4]
[2,3,8,6,7,1,5,4]=>[7,2,3,5,1,8,6,4]
[2,4,1,8,6,7,5,3]=>[4,2,5,1,7,8,6,3]
[2,5,8,6,1,7,4,3]=>[6,2,4,8,5,7,3,1]
[3,5,6,1,8,7,4,2]=>[6,4,3,7,5,1,8,2]
[3,4,1,6,8,7,5,2]=>[4,5,3,1,7,6,8,2]
[3,4,6,8,7,1,5,2]=>[7,5,3,4,1,6,8,2]
[8,1,4,6,2,7,5,3]=>[8,6,5,1,7,4,2,3]
[3,5,1,6,7,8,4,2]=>[5,4,3,8,1,6,7,2]
[4,5,6,1,7,8,3,2]=>[6,3,8,4,5,1,7,2]
[4,5,6,1,7,3,8,2]=>[6,8,7,4,5,1,3,2]
[3,5,1,6,7,4,8,2]=>[5,8,3,7,1,6,4,2]
[8,1,5,6,7,4,2,3]=>[8,4,2,7,1,5,6,3]
[8,1,5,6,7,4,3,2]=>[8,3,4,7,1,5,6,2]
[3,5,1,6,7,4,2,8]=>[5,4,3,7,1,6,2,8]
[4,5,6,1,7,3,2,8]=>[6,3,7,4,5,1,2,8]
[6,5,8,7,4,3,1,2]=>[3,1,4,7,6,5,8,2]
[6,4,2,7,8,5,1,3]=>[5,4,2,8,6,1,7,3]
[6,1,4,8,7,5,2,3]=>[6,5,2,1,7,4,8,3]
[1,6,4,8,7,5,2,3]=>[1,5,2,7,6,3,8,4]
[1,8,6,2,4,7,3,5]=>[1,6,8,3,2,7,4,5]
[8,1,6,2,4,7,3,5]=>[8,6,7,2,3,1,4,5]
[7,6,2,1,4,8,3,5]=>[2,6,7,3,1,8,4,5]
[6,4,1,7,8,5,2,3]=>[4,6,1,5,8,2,7,3]
[7,6,1,2,4,8,3,5]=>[6,1,7,3,2,8,4,5]
[7,6,1,3,4,8,2,5]=>[6,7,2,3,1,8,4,5]
[8,1,6,3,4,7,2,5]=>[8,7,6,3,2,1,4,5]
[1,8,6,3,4,7,2,5]=>[1,7,6,3,2,8,4,5]
[1,7,2,5,4,8,3,6]=>[1,7,8,5,2,3,4,6]
[7,1,2,5,4,8,3,6]=>[7,1,8,5,2,3,4,6]
[2,7,1,5,4,8,3,6]=>[7,2,8,5,1,3,4,6]
[2,8,6,3,4,7,1,5]=>[7,2,6,3,1,8,4,5]
[2,8,6,1,4,7,3,5]=>[6,2,8,3,1,7,4,5]
[7,2,1,5,4,8,3,6]=>[2,7,8,5,1,3,4,6]
[1,2,7,5,4,8,3,6]=>[1,2,8,5,7,3,4,6]
[3,2,7,5,4,8,1,6]=>[8,3,2,5,7,1,4,6]
[2,5,8,4,7,3,1,6]=>[3,2,7,8,5,1,4,6]
[2,3,7,5,4,8,1,6]=>[8,2,3,5,7,1,4,6]
[6,8,3,2,4,7,1,5]=>[7,3,8,2,1,6,4,5]
[3,7,2,5,4,8,1,6]=>[8,7,3,5,2,1,4,6]
[3,1,7,5,4,8,2,6]=>[3,8,1,5,7,2,4,6]
[1,3,7,5,4,8,2,6]=>[1,8,3,5,7,2,4,6]
[1,5,8,4,7,3,2,6]=>[1,3,7,8,5,2,4,6]
[5,1,8,4,7,3,2,6]=>[5,3,7,8,1,2,4,6]
[5,8,2,4,7,3,1,6]=>[3,7,8,1,5,2,4,6]
[6,8,4,3,7,5,1,2]=>[5,1,4,7,8,6,2,3]
[8,7,5,6,2,1,4,3]=>[2,6,4,1,7,5,8,3]
[8,5,2,4,7,3,1,6]=>[3,7,5,1,8,2,4,6]
[8,1,5,4,7,3,2,6]=>[8,3,7,5,1,2,4,6]
[1,8,5,4,7,3,2,6]=>[1,3,7,5,8,2,4,6]
[1,7,3,5,4,8,2,6]=>[1,8,7,5,3,2,4,6]
[8,6,3,1,4,7,2,5]=>[3,6,8,1,2,7,4,5]
[8,6,4,2,7,5,1,3]=>[5,4,2,7,6,8,1,3]
[8,6,4,1,7,2,5,3]=>[4,6,8,5,2,7,3,1]
[5,3,7,4,6,8,2,1]=>[2,8,5,7,3,4,6,1]
[4,1,3,2,7,8,5,6]=>[4,3,1,2,8,5,7,6]
[1,4,3,2,7,8,5,6]=>[1,3,4,2,8,5,7,6]
[2,4,3,1,7,8,5,6]=>[3,2,4,1,8,5,7,6]
[2,7,3,5,4,8,1,6]=>[8,2,7,5,3,1,4,6]
[2,8,5,4,7,3,1,6]=>[3,2,7,5,8,1,4,6]
[5,7,3,4,6,8,2,1]=>[2,8,7,3,5,4,6,1]
[8,2,5,4,7,3,1,6]=>[3,7,8,5,1,2,4,6]
[7,2,3,5,4,8,1,6]=>[8,7,2,5,3,1,4,6]
[3,2,1,4,7,8,5,6]=>[2,3,1,4,8,5,7,6]
[8,1,7,6,4,3,5,2]=>[8,5,4,6,3,7,1,2]
[8,6,4,5,2,7,1,3]=>[7,5,1,6,4,8,2,3]
[7,1,8,6,4,3,5,2]=>[7,5,4,6,3,8,1,2]
[7,4,2,5,1,6,3,8]=>[5,4,7,6,3,1,2,8]
[7,3,6,5,2,1,4,8]=>[2,5,6,3,7,1,4,8]
[8,3,6,5,2,1,7,4]=>[2,5,6,8,7,4,3,1]
[7,3,6,5,2,1,8,4]=>[2,5,6,7,8,4,3,1]
[7,5,8,6,4,2,1,3]=>[2,4,1,6,8,7,3,5]
[5,4,2,8,1,3,7,6]=>[8,4,1,5,2,7,3,6]
[5,8,2,6,4,1,3,7]=>[4,6,2,8,5,1,3,7]
[6,4,2,5,1,8,3,7]=>[5,4,6,8,3,1,2,7]
[6,3,5,2,1,4,7,8]=>[2,5,6,1,3,4,7,8]
[2,5,8,6,3,1,4,7]=>[3,2,6,1,5,8,4,7]
[2,3,5,8,1,4,7,6]=>[8,2,3,1,5,7,4,6]
[2,3,6,8,1,5,7,4]=>[8,2,3,7,1,6,5,4]
[6,3,8,5,2,7,1,4]=>[7,5,8,1,6,2,3,4]
[6,3,7,5,2,1,4,8]=>[2,5,7,3,6,1,4,8]
[2,5,7,6,3,1,4,8]=>[3,2,6,1,5,7,4,8]
[2,8,7,6,3,1,5,4]=>[3,2,6,5,1,7,8,4]
[2,5,8,7,6,3,1,4]=>[3,2,6,1,5,7,8,4]
[2,4,8,1,6,5,7,3]=>[8,2,7,4,6,1,5,3]
[2,8,7,3,6,1,4,5]=>[6,2,7,1,4,3,8,5]
[7,3,5,2,1,4,6,8]=>[2,5,7,1,3,4,6,8]
[8,4,2,5,1,3,7,6]=>[5,4,1,8,2,7,3,6]
[2,3,6,8,1,4,7,5]=>[8,2,3,1,7,6,4,5]
[2,7,8,6,3,1,4,5]=>[3,2,6,1,4,8,7,5]
[7,3,8,5,2,1,4,6]=>[2,5,8,3,7,4,1,6]
[2,3,6,1,8,4,7,5]=>[6,2,3,8,7,1,4,5]
[2,8,6,3,1,4,5,7]=>[3,2,6,1,4,8,5,7]
[8,3,5,2,1,4,6,7]=>[2,5,8,1,3,4,6,7]
[2,4,8,1,3,7,5,6]=>[8,2,1,4,7,5,3,6]
[2,5,8,1,7,3,6,4]=>[8,2,7,6,5,3,1,4]
[2,8,1,5,7,3,6,4]=>[8,2,7,6,1,3,5,4]
[8,3,6,1,4,7,5,2]=>[6,5,7,1,8,2,4,3]
[3,8,6,1,4,7,5,2]=>[6,5,3,2,8,7,4,1]
[2,6,8,1,5,7,3,4]=>[8,2,7,3,1,6,5,4]
[2,7,1,5,8,3,4,6]=>[7,2,8,3,1,4,5,6]
[2,7,1,6,3,8,4,5]=>[7,2,6,8,4,1,3,5]
[4,7,6,1,8,5,2,3]=>[6,5,1,4,7,8,2,3]
[3,7,5,8,1,2,6,4]=>[8,1,3,6,7,2,5,4]
[7,3,6,1,2,8,4,5]=>[6,1,7,8,4,3,2,5]
[7,4,8,1,6,5,2,3]=>[8,5,2,6,7,1,3,4]
[7,4,6,1,8,2,5,3]=>[6,8,5,7,2,4,1,3]
[7,4,5,8,6,1,2,3]=>[6,1,2,8,3,7,5,4]
[6,8,4,5,1,7,2,3]=>[5,7,2,8,4,6,1,3]
[4,6,8,5,1,7,2,3]=>[5,8,1,4,7,6,2,3]
[5,1,7,6,2,3,8,4]=>[5,6,2,7,1,8,4,3]
[5,1,7,6,2,8,3,4]=>[5,6,7,2,1,8,3,4]
[5,1,8,7,6,2,3,4]=>[5,6,2,3,1,7,8,4]
[8,5,1,7,6,2,3,4]=>[5,8,1,3,6,7,2,4]
[8,5,1,6,2,7,3,4]=>[5,8,6,1,7,2,3,4]
[3,6,1,8,4,7,5,2]=>[6,5,3,7,8,1,2,4]
[4,6,1,8,7,5,2,3]=>[6,5,2,4,7,1,8,3]
[8,4,6,1,7,5,2,3]=>[6,5,2,7,8,3,1,4]
[4,8,5,1,7,2,3,6]=>[5,8,1,4,7,3,2,6]
[4,5,1,8,7,2,3,6]=>[5,7,2,4,1,3,8,6]
[3,4,8,7,1,2,5,6]=>[7,1,3,4,2,5,8,6]
[5,8,4,1,7,2,3,6]=>[4,8,1,7,5,3,2,6]
[8,6,4,7,1,2,5,3]=>[7,1,5,6,2,8,4,3]
[6,4,8,7,1,2,5,3]=>[7,1,5,6,2,4,8,3]
[5,6,8,3,7,1,4,2]=>[7,4,8,1,5,6,3,2]
[6,4,7,1,2,8,5,3]=>[7,1,5,8,6,3,2,4]
[6,5,1,2,7,3,8,4]=>[5,1,6,7,8,3,4,2]
[6,5,1,8,2,7,3,4]=>[5,6,8,1,7,2,3,4]
[8,6,5,1,2,7,3,4]=>[5,1,6,3,8,7,2,4]
[8,6,5,1,7,2,3,4]=>[5,6,2,3,8,7,1,4]
[6,5,1,8,7,2,3,4]=>[5,6,1,3,7,2,8,4]
[6,5,1,7,2,8,3,4]=>[5,6,7,1,8,2,3,4]
[6,5,1,7,2,3,8,4]=>[5,6,1,7,8,2,4,3]
[5,7,4,1,8,2,3,6]=>[4,7,1,8,5,3,2,6]
[5,6,8,7,4,1,2,3]=>[4,1,2,7,5,6,8,3]
[6,8,5,7,4,1,2,3]=>[4,1,2,7,8,6,5,3]
[7,3,8,1,5,2,4,6]=>[8,5,7,2,1,4,3,6]
[4,1,7,5,3,6,2,8]=>[4,6,5,1,7,3,2,8]
[1,8,4,2,3,6,7,5]=>[1,4,2,8,7,3,6,5]
[2,5,8,3,4,6,7,1]=>[7,2,8,3,5,4,6,1]
[4,1,7,2,3,6,8,5]=>[4,7,2,1,8,3,6,5]
[4,6,2,1,5,7,8,3]=>[2,6,8,4,1,5,7,3]
[4,5,2,3,1,7,8,6]=>[3,5,2,4,1,8,7,6]
[3,2,6,7,4,1,8,5]=>[4,3,2,7,8,6,1,5]
[5,6,2,7,1,4,8,3]=>[7,6,8,1,5,2,4,3]
[6,2,3,8,1,7,4,5]=>[8,6,2,7,4,3,1,5]
[2,6,8,3,4,7,1,5]=>[7,2,8,3,1,6,4,5]
[4,6,2,7,5,1,3,8]=>[5,7,2,4,6,1,3,8]
[2,6,3,1,8,4,5,7]=>[3,2,6,8,4,1,5,7]
[2,4,3,7,8,1,5,6]=>[8,2,4,3,1,5,7,6]
[5,3,2,7,4,8,1,6]=>[8,3,5,7,2,1,4,6]
[5,1,2,7,6,8,4,3]=>[5,1,4,8,2,7,6,3]
[2,6,3,1,8,7,4,5]=>[3,2,6,7,4,1,8,5]
[3,5,6,4,7,8,1,2]=>[8,1,3,6,5,4,7,2]
[5,3,6,4,2,8,7,1]=>[7,4,6,5,2,3,8,1]
[5,4,2,3,7,8,6,1]=>[6,4,2,5,3,8,7,1]
[4,1,8,2,5,7,3,6]=>[4,8,7,1,2,3,5,6]
[3,1,8,4,7,2,5,6]=>[3,7,1,8,2,5,4,6]
[6,2,3,8,4,1,7,5]=>[4,8,1,6,7,3,2,5]
[2,6,4,1,5,3,8,7]=>[4,2,6,5,3,1,8,7]
[3,2,7,6,4,1,8,5]=>[4,3,2,6,7,8,5,1]
[2,5,4,1,7,6,8,3]=>[4,2,5,8,3,7,6,1]
[6,2,1,4,7,8,3,5]=>[2,6,8,1,3,4,7,5]
[2,6,5,1,7,8,3,4]=>[5,2,6,1,8,3,7,4]
[4,7,5,2,1,6,3,8]=>[2,5,7,4,6,3,1,8]
[4,2,3,7,8,1,6,5]=>[8,4,2,3,6,1,7,5]
[5,8,3,1,7,2,4,6]=>[3,8,7,1,5,4,2,6]
[6,8,3,1,5,2,4,7]=>[3,8,5,1,2,6,4,7]
[4,2,7,1,6,3,5,8]=>[7,4,6,2,3,1,5,8]
[5,1,7,4,2,6,3,8]=>[5,4,7,6,1,3,2,8]
[6,8,4,2,1,5,3,7]=>[2,4,8,5,3,6,1,7]
[6,8,5,2,1,7,3,4]=>[2,5,8,1,7,6,3,4]
[5,8,2,1,4,7,3,6]=>[2,8,7,1,5,3,4,6]
[6,8,3,2,5,1,7,4]=>[5,3,8,7,2,6,1,4]
[6,8,4,3,1,5,7,2]=>[3,4,8,7,1,6,5,2]
[6,8,4,2,1,5,7,3]=>[2,4,8,7,3,6,5,1]
[6,8,3,2,1,4,5,7]=>[2,3,8,1,4,6,5,7]
[5,1,7,3,2,4,6,8]=>[5,3,7,2,1,4,6,8]
[5,2,1,8,3,6,7,4]=>[2,5,8,7,1,3,6,4]
[4,3,8,1,6,2,7,5]=>[8,6,4,3,7,1,2,5]
[5,4,7,2,1,6,8,3]=>[2,7,8,5,4,1,6,3]
[5,2,1,7,3,4,8,6]=>[2,5,7,3,1,8,4,6]
[6,4,3,1,7,5,8,2]=>[3,4,6,8,7,1,5,2]
[5,3,1,7,2,6,8,4]=>[3,5,7,8,2,1,6,4]
[3,2,1,7,6,4,8,5]=>[2,3,1,6,7,8,5,4]
[4,2,1,6,5,8,3,7]=>[2,4,8,1,6,5,3,7]
[4,2,1,8,5,7,3,6]=>[2,4,7,1,8,3,5,6]
[7,4,3,1,8,5,6,2]=>[3,4,7,6,8,5,1,2]
[7,4,2,1,8,5,6,3]=>[2,4,7,6,8,5,3,1]
[6,3,2,1,7,4,5,8]=>[2,3,6,7,4,1,5,8]
[6,4,2,1,7,5,3,8]=>[2,4,6,5,7,3,1,8]
[7,5,2,1,8,6,3,4]=>[2,5,7,1,6,8,3,4]
[6,1,8,4,2,7,3,5]=>[6,4,8,7,2,1,3,5]
[6,2,1,8,3,7,4,5]=>[2,6,8,7,4,1,3,5]
[5,2,1,7,3,6,4,8]=>[2,5,7,6,1,3,4,8]
[5,3,2,7,6,1,4,8]=>[6,3,5,1,2,7,4,8]
[5,3,2,8,6,1,4,7]=>[6,3,5,1,2,8,4,7]
[6,3,2,8,7,1,4,5]=>[7,3,6,1,4,2,8,5]
[4,2,8,1,7,3,5,6]=>[8,4,7,2,3,5,1,6]
[4,3,8,7,2,1,5,6]=>[2,7,4,3,1,5,8,6]
[2,1,5,8,4,7,3,6]=>[2,1,7,8,5,3,4,6]
[4,3,2,5,8,1,6,7]=>[8,3,4,2,5,1,6,7]
[4,3,2,5,7,1,6,8]=>[7,3,4,2,5,1,6,8]
[4,3,1,6,2,7,5,8]=>[3,4,6,2,7,1,5,8]
[4,3,1,7,2,8,5,6]=>[3,4,7,2,8,5,1,6]
[5,4,1,7,2,8,6,3]=>[4,5,7,6,2,8,3,1]
[6,5,3,1,7,8,4,2]=>[3,5,4,6,8,1,7,2]
[6,4,2,1,7,8,3,5]=>[2,4,6,8,1,3,7,5]
[5,4,2,1,6,7,3,8]=>[2,4,5,7,3,6,1,8]
[5,3,2,1,6,7,4,8]=>[2,3,5,7,1,6,4,8]
[6,4,2,1,7,8,5,3]=>[2,4,6,5,8,3,7,1]
[5,3,2,6,8,1,7,4]=>[8,3,5,7,2,6,1,4]
[3,2,1,4,8,7,5,6]=>[2,3,1,4,7,5,8,6]
[3,2,1,4,6,8,5,7]=>[2,3,1,4,8,6,5,7]
[4,3,2,6,1,7,8,5]=>[6,3,4,2,8,1,7,5]
[5,3,2,1,6,7,8,4]=>[2,3,5,8,1,6,7,4]
[8,6,1,4,5,7,2,3]=>[6,8,1,2,4,7,5,3]
[3,8,6,4,5,7,1,2]=>[7,1,3,6,4,8,5,2]
[5,2,8,3,7,4,6,1]=>[6,5,8,7,2,4,3,1]
[6,2,8,5,4,7,3,1]=>[3,7,6,5,8,1,4,2]
[1,8,6,3,7,4,2,5]=>[1,4,7,6,3,8,2,5]
[1,8,6,5,7,2,3,4]=>[1,7,2,3,6,8,5,4]
[5,2,8,4,3,6,7,1]=>[7,5,4,8,2,3,6,1]
[5,4,2,7,3,6,1,8]=>[6,4,5,7,3,2,1,8]
[5,4,2,8,3,6,1,7]=>[6,4,5,8,3,2,1,7]
[6,5,3,8,4,7,2,1]=>[2,7,5,6,8,4,3,1]
[5,2,8,4,3,7,1,6]=>[7,5,4,8,2,1,3,6]
[6,2,8,3,7,4,1,5]=>[4,7,6,8,2,3,1,5]
[5,4,2,7,3,1,8,6]=>[3,7,4,5,1,8,2,6]
[6,4,3,7,1,2,8,5]=>[7,1,4,6,8,3,2,5]
[6,4,3,8,1,2,7,5]=>[8,1,4,6,7,3,2,5]
[7,6,3,8,4,2,1,5]=>[2,4,8,6,3,7,1,5]
[7,2,8,5,1,6,3,4]=>[5,8,7,1,6,2,3,4]
[7,2,8,4,3,1,5,6]=>[3,4,8,7,1,5,2,6]
[7,5,3,8,4,2,6,1]=>[6,4,8,5,7,3,2,1]
[6,4,2,7,3,1,5,8]=>[3,7,4,6,2,1,5,8]
[7,6,4,8,2,3,5,1]=>[5,8,2,6,3,7,4,1]
[7,6,8,1,2,5,3,4]=>[8,1,5,3,2,7,6,4]
[5,3,1,7,8,4,6,2]=>[3,5,6,8,2,4,7,1]
[5,3,2,7,8,4,6,1]=>[6,3,5,8,2,4,7,1]
[5,4,1,6,3,8,7,2]=>[4,5,7,6,2,1,8,3]
[6,5,1,7,8,2,3,4]=>[5,6,1,3,8,2,7,4]
[6,3,1,7,8,4,2,5]=>[3,6,4,8,1,2,7,5]
[5,4,1,7,3,8,2,6]=>[4,5,8,7,2,3,1,6]
[6,3,2,7,8,4,1,5]=>[4,3,8,6,2,1,7,5]
[6,1,5,4,3,2,8,7]=>[6,3,4,5,1,2,8,7]
[8,7,6,1,3,5,2,4]=>[6,5,1,2,3,7,8,4]
[8,1,6,5,7,3,4,2]=>[8,4,7,3,6,1,5,2]
[8,4,1,5,7,6,2,3]=>[4,8,1,6,2,7,5,3]
[7,8,6,2,5,3,1,4]=>[3,5,6,2,1,8,7,4]
[6,1,3,5,2,8,4,7]=>[6,5,1,8,3,2,4,7]
[8,1,3,7,4,2,5,6]=>[8,4,1,7,2,5,3,6]
[4,3,8,7,5,2,1,6]=>[2,5,4,3,7,1,8,6]
[6,7,1,8,5,3,4,2]=>[7,4,5,3,8,6,1,2]
[2,7,6,4,8,3,5,1]=>[5,2,8,6,3,7,4,1]
[6,5,2,7,1,4,8,3]=>[7,5,6,1,8,3,4,2]
[7,4,6,1,3,2,8,5]=>[6,3,1,7,8,4,2,5]
[7,5,2,1,3,8,4,6]=>[2,5,1,7,8,3,4,6]
[8,4,7,6,3,1,5,2]=>[3,6,5,7,4,8,2,1]
[7,4,1,5,6,3,8,2]=>[4,7,8,6,2,5,1,3]
[3,4,7,5,6,1,8,2]=>[6,8,3,4,7,5,1,2]
[2,4,7,5,6,3,8,1]=>[8,2,6,4,7,5,3,1]
[5,4,1,7,6,2,8,3]=>[4,5,6,7,2,8,1,3]
[3,5,6,7,1,4,8,2]=>[7,8,3,1,5,6,4,2]
[2,7,6,1,3,4,8,5]=>[6,2,1,3,7,8,5,4]
[5,7,2,1,6,3,8,4]=>[2,7,6,8,5,1,3,4]
[4,7,2,5,6,3,8,1]=>[8,7,6,4,2,5,3,1]
[8,6,2,5,7,1,4,3]=>[7,6,4,1,2,8,5,3]
[2,7,4,5,3,8,1,6]=>[8,2,5,7,4,1,3,6]
[6,8,7,1,3,2,5,4]=>[7,3,1,5,2,6,8,4]
[2,8,6,5,7,1,4,3]=>[7,2,4,1,6,8,5,3]
[5,8,4,3,2,6,7,1]=>[7,3,4,8,5,2,6,1]
[1,8,5,6,2,4,7,3]=>[1,6,7,2,8,5,4,3]
[8,1,5,6,2,4,7,3]=>[8,6,7,2,1,5,4,3]
[6,4,8,1,3,2,7,5]=>[8,3,1,6,7,4,2,5]
[1,4,5,2,8,6,7,3]=>[1,5,7,4,2,8,6,3]
[2,3,1,7,8,6,4,5]=>[3,2,1,6,4,8,7,5]
[3,5,7,6,2,8,1,4]=>[8,6,3,1,5,7,2,4]
[4,5,6,1,2,8,7,3]=>[6,1,7,4,5,2,8,3]
[5,4,1,2,8,6,7,3]=>[4,1,5,7,3,8,6,2]
[8,4,5,2,1,6,7,3]=>[2,5,7,8,4,1,6,3]
[3,1,2,6,8,4,7,5]=>[3,1,2,8,7,6,4,5]
[5,1,3,2,7,8,4,6]=>[5,3,1,8,2,4,7,6]
[1,5,4,2,7,8,3,6]=>[1,4,5,8,3,2,7,6]
[4,6,7,8,3,1,5,2]=>[3,8,5,4,2,6,7,1]
[7,6,2,8,4,3,1,5]=>[3,4,8,6,1,7,2,5]
[5,2,8,6,3,4,7,1]=>[7,5,6,3,2,8,4,1]
[5,6,8,4,3,2,7,1]=>[7,3,4,8,5,6,2,1]
[5,3,8,1,7,2,4,6]=>[8,7,5,2,3,4,1,6]
[3,6,7,8,4,2,1,5]=>[2,4,3,8,1,6,7,5]
[6,5,1,8,4,3,7,2]=>[5,6,4,7,8,2,1,3]
[6,3,8,4,2,1,7,5]=>[2,4,8,6,7,1,3,5]
[2,5,8,3,1,6,7,4]=>[3,2,8,7,5,1,6,4]
[3,5,8,1,2,6,7,4]=>[8,1,3,7,5,2,6,4]
[3,2,8,1,5,6,7,4]=>[8,3,2,7,1,5,6,4]
[1,5,8,3,2,6,7,4]=>[1,3,8,7,5,2,6,4]
[1,3,8,6,2,4,7,5]=>[1,6,3,2,8,7,5,4]
[3,2,7,8,4,6,1,5]=>[6,3,2,8,1,4,7,5]
[5,1,8,3,4,6,7,2]=>[5,7,8,3,1,4,6,2]
[4,8,7,2,1,6,3,5]=>[2,7,6,4,3,1,8,5]
[2,8,1,6,3,4,7,5]=>[8,2,6,3,7,1,4,5]
[8,3,4,2,1,6,5,7]=>[2,4,8,3,6,1,5,7]
[6,4,7,2,5,8,1,3]=>[8,7,1,6,2,4,5,3]
[8,4,5,2,6,3,1,7]=>[3,6,5,8,4,1,2,7]
[2,4,5,8,3,6,1,7]=>[6,2,8,4,5,3,1,7]
[3,5,8,1,2,6,4,7]=>[8,1,3,6,5,2,4,7]
[8,6,1,3,5,2,4,7]=>[6,5,1,2,3,8,4,7]
[8,5,1,2,6,4,3,7]=>[5,1,4,8,6,3,2,7]
[5,8,6,1,3,4,2,7]=>[6,4,1,3,5,8,2,7]
[5,8,4,6,1,3,2,7]=>[6,3,1,8,5,4,2,7]
[7,3,4,5,2,8,1,6]=>[8,5,7,3,4,1,2,6]
[5,7,4,3,6,1,8,2]=>[6,8,4,7,5,3,1,2]
[2,6,4,3,7,8,5,1]=>[5,2,4,8,6,1,7,3]
[7,4,1,8,3,2,5,6]=>[4,3,7,8,1,5,2,6]
[6,2,1,7,8,4,5,3]=>[2,6,5,8,4,1,7,3]
[7,6,3,1,5,4,8,2]=>[3,6,7,5,1,8,4,2]
[2,4,6,5,1,7,8,3]=>[5,2,6,4,8,3,7,1]
[1,4,7,5,6,8,2,3]=>[1,8,2,4,7,5,6,3]
[1,4,7,6,5,8,2,3]=>[1,8,2,4,6,7,5,3]
[3,7,5,2,4,6,8,1]=>[8,5,3,2,7,4,6,1]
[5,6,1,7,4,2,8,3]=>[6,4,7,8,5,1,3,2]
[3,7,4,8,1,2,6,5]=>[8,1,3,7,6,2,4,5]
[6,3,5,7,8,1,4,2]=>[8,4,6,1,3,5,7,2]
[3,6,5,7,1,8,4,2]=>[7,4,3,8,6,5,1,2]
[6,4,7,8,2,1,3,5]=>[2,8,1,6,3,4,7,5]
[6,7,3,8,4,1,2,5]=>[4,1,8,7,3,6,2,5]
[2,7,8,3,4,6,1,5]=>[6,2,8,3,1,4,7,5]
[7,5,8,4,1,3,2,6]=>[4,3,1,8,7,2,5,6]
[4,7,5,8,3,1,2,6]=>[3,1,8,4,7,2,5,6]
[3,6,7,4,8,1,2,5]=>[8,1,3,7,2,6,4,5]
[5,7,3,1,6,8,4,2]=>[3,7,4,8,5,2,6,1]
[2,7,3,1,8,6,4,5]=>[3,2,7,6,4,8,1,5]
[2,8,4,3,1,5,7,6]=>[3,2,4,8,1,7,5,6]
[4,8,1,2,3,5,7,6]=>[8,1,2,4,3,7,5,6]
[7,6,8,1,2,4,3,5]=>[8,1,4,2,3,7,6,5]
[7,6,8,5,1,3,2,4]=>[5,3,1,2,8,7,6,4]
[2,8,5,4,6,1,7,3]=>[6,2,7,5,8,4,1,3]
[8,4,5,2,7,6,1,3]=>[6,5,1,7,3,8,2,4]
[8,7,6,4,1,2,5,3]=>[4,1,6,5,3,7,8,2]
[6,7,1,3,5,2,8,4]=>[7,5,1,8,3,6,2,4]
[5,7,2,3,6,8,1,4]=>[8,7,2,1,5,3,6,4]
[8,5,3,2,7,6,1,4]=>[6,3,5,2,7,8,1,4]
[3,4,6,7,5,8,1,2]=>[8,1,3,4,7,6,5,2]
[3,4,5,7,6,1,8,2]=>[6,7,3,4,5,8,2,1]
[2,6,4,5,7,8,3,1]=>[3,2,8,6,4,5,7,1]
[3,8,5,1,6,2,7,4]=>[5,8,3,6,7,2,4,1]
[2,5,1,3,6,8,7,4]=>[5,2,1,7,3,6,8,4]
[5,4,6,1,3,7,8,2]=>[6,8,1,5,4,3,7,2]
[6,3,5,7,1,4,8,2]=>[7,8,6,1,3,5,4,2]
[7,3,4,6,8,1,5,2]=>[8,5,7,3,1,4,6,2]
[7,5,2,8,4,1,3,6]=>[4,8,2,5,7,3,1,6]
[3,7,6,4,1,8,2,5]=>[4,6,3,7,2,8,1,5]
[3,7,8,4,1,5,6,2]=>[4,8,3,6,2,5,7,1]
[8,7,5,4,2,1,6,3]=>[2,4,5,7,6,1,8,3]
[3,5,8,6,7,4,2,1]=>[2,4,3,7,5,8,6,1]
[5,8,1,6,7,3,4,2]=>[8,4,7,3,5,1,6,2]
[6,7,2,5,1,8,4,3]=>[5,7,4,8,2,6,1,3]
[5,8,2,1,6,7,4,3]=>[2,8,4,7,5,1,6,3]
[4,5,2,8,6,3,7,1]=>[7,5,6,4,2,8,3,1]
[3,6,1,2,5,8,4,7]=>[6,1,3,8,2,5,4,7]
[1,4,5,8,2,3,7,6]=>[1,8,2,4,5,7,3,6]
[1,2,6,4,5,8,3,7]=>[1,2,8,6,4,5,3,7]
[1,5,2,4,6,8,3,7]=>[1,5,8,2,4,6,3,7]
[3,6,1,5,8,2,4,7]=>[6,8,3,2,1,5,4,7]
[2,6,5,1,4,8,3,7]=>[5,2,6,3,8,4,1,7]
[5,2,6,1,4,8,3,7]=>[6,5,8,1,2,4,3,7]
[2,5,1,8,4,7,3,6]=>[5,2,7,8,1,3,4,6]
[2,7,1,4,3,6,8,5]=>[7,2,4,1,8,3,6,5]
[1,3,7,5,8,2,4,6]=>[1,8,3,2,7,4,5,6]
[8,2,1,5,7,3,4,6]=>[2,8,7,3,1,4,5,6]
[2,5,4,8,1,3,7,6]=>[8,2,1,5,4,7,3,6]
[2,4,1,3,8,6,7,5]=>[4,2,1,3,7,8,6,5]
[8,4,3,7,1,2,6,5]=>[7,1,4,8,6,2,3,5]
[1,7,3,5,8,2,6,4]=>[1,8,7,6,3,2,5,4]
[1,8,4,2,6,7,3,5]=>[1,4,8,7,2,3,6,5]
[3,1,6,8,7,2,4,5]=>[3,7,1,2,4,6,8,5]
[7,2,1,6,8,3,4,5]=>[2,7,8,3,4,1,6,5]
[3,1,7,6,8,2,4,5]=>[3,8,1,2,4,7,6,5]
[4,1,7,2,6,8,3,5]=>[4,7,8,1,3,2,6,5]
[5,1,7,2,3,6,8,4]=>[5,7,2,8,1,3,6,4]
[7,2,1,6,3,5,8,4]=>[2,7,6,8,3,1,5,4]
[2,6,1,7,3,5,8,4]=>[6,2,7,8,3,1,5,4]
[7,1,2,5,3,6,8,4]=>[7,1,5,8,2,3,6,4]
[5,4,1,2,7,8,3,6]=>[4,1,5,8,3,2,7,6]
[8,1,3,2,4,6,7,5]=>[8,3,1,2,7,4,6,5]
[7,3,1,2,4,6,8,5]=>[3,1,7,2,8,4,6,5]
[1,8,3,4,7,2,5,6]=>[1,7,8,3,2,5,4,6]
[3,5,8,1,2,7,4,6]=>[8,1,3,7,5,4,2,6]
[3,6,8,1,2,4,7,5]=>[8,1,3,2,7,6,4,5]
[4,1,3,8,7,2,6,5]=>[4,7,1,3,6,2,8,5]
[1,3,7,4,8,2,6,5]=>[1,8,3,7,6,2,4,5]
[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]
[3,5,8,1,7,2,4,6]=>[8,7,3,2,5,4,1,6]
[2,6,8,1,7,3,4,5]=>[8,2,7,3,4,6,1,5]
[6,1,5,8,2,3,7,4]=>[6,8,2,7,1,5,3,4]
[1,8,3,2,7,5,6,4]=>[1,3,8,6,7,5,2,4]
[3,1,7,2,8,5,6,4]=>[3,7,1,6,8,5,2,4]
[2,6,7,3,8,1,5,4]=>[8,2,7,5,1,6,3,4]
[8,4,1,7,3,6,2,5]=>[4,8,6,7,3,1,2,5]
[3,7,2,8,6,1,5,4]=>[6,8,3,5,2,7,1,4]
[6,2,3,8,7,1,5,4]=>[7,6,2,5,1,3,8,4]
[5,1,7,8,4,2,6,3]=>[5,4,8,6,1,3,7,2]
[5,1,8,7,4,2,6,3]=>[5,4,7,6,1,3,8,2]
[4,7,2,8,3,6,5,1]=>[5,6,7,4,8,1,3,2]
[4,1,7,8,5,3,6,2]=>[4,6,5,1,8,3,7,2]
[5,1,7,4,8,3,6,2]=>[5,6,8,7,1,3,4,2]
[4,1,8,7,5,3,6,2]=>[4,6,5,1,7,3,8,2]
[4,8,2,7,3,6,5,1]=>[5,6,8,4,7,1,3,2]
[4,7,2,6,3,5,8,1]=>[8,7,6,4,3,2,5,1]
[6,8,2,4,3,7,5,1]=>[5,7,4,1,8,6,3,2]
[6,7,2,4,3,8,5,1]=>[5,8,4,1,7,6,3,2]
[6,8,2,7,3,5,4,1]=>[4,5,8,7,1,6,3,2]
[3,8,7,2,4,1,5,6]=>[4,7,3,2,1,5,8,6]
[3,7,8,2,4,1,5,6]=>[4,8,3,2,1,5,7,6]
[3,6,8,2,4,5,7,1]=>[7,8,3,2,4,6,5,1]
[3,6,7,2,4,5,8,1]=>[8,7,3,2,4,6,5,1]
[6,5,1,4,2,3,8,7]=>[5,4,2,1,6,3,8,7]
[8,6,1,7,2,5,4,3]=>[6,8,4,5,1,7,2,3]
[8,7,6,1,2,3,5,4]=>[6,1,2,5,3,7,8,4]
[5,4,3,1,6,2,8,7]=>[3,4,5,6,1,2,8,7]
[8,3,4,7,1,6,2,5]=>[7,6,8,3,2,1,4,5]
[6,3,4,1,8,5,2,7]=>[4,5,8,2,6,1,3,7]
[3,8,5,2,7,1,6,4]=>[7,5,3,8,6,1,4,2]
[2,8,6,7,5,3,4,1]=>[4,2,5,3,7,8,6,1]
[2,1,8,7,3,6,4,5]=>[2,1,7,6,4,3,8,5]
[3,6,5,8,2,4,7,1]=>[7,8,3,2,6,5,4,1]
[5,2,1,8,7,3,4,6]=>[2,5,7,3,1,4,8,6]
[6,5,2,7,4,3,8,1]=>[8,5,4,6,7,3,2,1]
[4,6,5,2,7,3,8,1]=>[8,5,6,4,7,3,2,1]
[6,2,7,1,8,3,5,4]=>[7,6,8,5,3,2,1,4]
[2,7,5,4,8,3,6,1]=>[6,2,8,5,7,3,4,1]
[8,7,5,1,2,6,4,3]=>[5,1,4,7,6,3,8,2]
[8,4,3,2,7,1,6,5]=>[7,3,4,8,6,1,2,5]
[7,1,6,2,3,8,5,4]=>[7,6,2,5,8,1,3,4]
[4,8,1,3,2,7,5,6]=>[8,3,1,4,7,5,2,6]
[3,8,1,4,7,5,2,6]=>[8,5,3,1,7,2,4,6]
[6,3,8,7,4,5,1,2]=>[5,1,6,7,4,3,8,2]
[6,1,4,8,5,2,3,7]=>[6,5,2,1,8,4,3,7]
[8,5,7,4,6,2,1,3]=>[2,6,1,7,8,4,5,3]
[4,6,7,8,2,3,5,1]=>[5,8,2,4,3,6,7,1]
[8,7,4,6,2,1,5,3]=>[2,6,5,7,1,4,8,3]
[7,6,1,3,5,2,8,4]=>[6,5,1,7,4,8,2,3]
[5,8,3,2,4,6,1,7]=>[6,3,8,2,5,4,1,7]
[8,2,6,5,3,1,7,4]=>[3,5,6,8,7,4,1,2]
[4,8,7,6,5,2,3,1]=>[3,5,2,4,6,7,8,1]
[2,1,8,6,4,3,7,5]=>[2,1,4,6,8,7,5,3]
[2,1,7,6,5,3,8,4]=>[2,1,5,6,7,8,3,4]
[2,7,6,1,3,5,8,4]=>[6,2,1,7,4,8,5,3]
[7,2,5,4,6,1,8,3]=>[6,7,8,5,2,4,1,3]
[4,7,6,1,2,5,8,3]=>[6,1,7,4,3,8,5,2]
[2,4,1,7,6,8,5,3]=>[4,2,5,1,8,7,6,3]
[3,4,1,7,8,5,6,2]=>[4,6,3,1,8,5,7,2]
[7,5,4,3,1,8,6,2]=>[3,4,5,7,6,8,2,1]
[8,5,6,2,7,3,1,4]=>[3,7,6,2,8,5,1,4]
[8,4,2,5,6,1,7,3]=>[6,4,8,7,3,5,1,2]
[6,3,5,4,1,7,8,2]=>[4,5,8,6,1,2,7,3]
[4,1,3,6,7,5,8,2]=>[4,8,1,3,7,6,5,2]
[1,7,5,3,8,2,4,6]=>[1,8,5,2,7,4,3,6]
[1,7,2,4,5,8,3,6]=>[1,7,8,2,4,3,5,6]
[8,2,5,3,1,6,4,7]=>[3,5,8,6,1,2,4,7]
[1,7,4,5,8,3,2,6]=>[1,3,8,7,4,2,5,6]
[2,6,4,7,8,3,5,1]=>[5,2,8,6,3,4,7,1]
[2,6,4,7,8,3,1,5]=>[3,2,8,6,1,4,7,5]
[1,2,6,4,7,8,3,5]=>[1,2,8,6,3,4,7,5]
[2,7,4,5,8,1,3,6]=>[8,2,1,7,4,3,5,6]
[2,7,5,3,1,8,4,6]=>[3,2,5,7,8,1,4,6]
[6,1,4,7,8,3,5,2]=>[6,5,8,1,3,4,7,2]
[3,6,4,7,8,1,5,2]=>[8,5,3,6,1,4,7,2]
[4,3,6,7,1,8,5,2]=>[7,5,4,3,8,6,1,2]
[4,3,6,7,1,8,2,5]=>[7,8,4,3,2,6,1,5]
[3,6,4,7,8,1,2,5]=>[8,1,3,6,2,4,7,5]
[2,3,6,4,1,7,8,5]=>[4,2,3,6,8,1,7,5]
[4,7,2,1,5,3,8,6]=>[2,7,5,4,1,8,3,6]
[3,7,4,5,2,1,8,6]=>[2,5,3,7,4,8,1,6]
[1,3,6,4,7,2,8,5]=>[1,7,3,6,8,4,2,5]
[3,6,4,7,2,8,5,1]=>[5,8,3,7,6,1,4,2]
[5,1,3,4,2,7,8,6]=>[5,4,1,3,2,8,7,6]
[5,4,2,1,3,7,8,6]=>[2,4,1,5,3,8,7,6]
[6,1,7,3,8,2,5,4]=>[6,8,7,5,2,1,3,4]
[1,6,7,3,8,2,5,4]=>[1,8,7,5,2,6,3,4]
[6,1,4,7,8,5,2,3]=>[6,5,2,1,8,4,7,3]
[6,3,2,1,7,8,5,4]=>[2,3,6,5,8,1,7,4]
[6,2,7,3,1,8,5,4]=>[3,7,6,5,8,1,2,4]
[6,2,4,7,8,1,5,3]=>[8,6,5,2,1,4,7,3]
[2,6,7,3,1,8,5,4]=>[3,2,7,5,8,6,1,4]
[8,6,5,1,3,2,4,7]=>[5,3,1,2,6,8,4,7]
[6,4,7,8,3,2,5,1]=>[5,3,8,6,2,4,7,1]
[3,8,4,7,1,2,5,6]=>[7,1,3,8,2,5,4,6]
[8,6,1,2,5,4,3,7]=>[6,1,4,5,2,8,3,7]
[4,8,6,1,5,3,2,7]=>[6,3,5,4,1,8,2,7]
[5,8,6,4,1,3,2,7]=>[4,3,1,6,5,8,2,7]
[8,3,6,4,5,2,1,7]=>[2,5,8,6,4,3,1,7]
[6,8,5,7,4,2,3,1]=>[3,4,2,7,8,6,5,1]
[2,3,8,7,1,6,4,5]=>[7,2,3,6,4,1,8,5]
[4,3,7,8,1,6,2,5]=>[8,6,4,3,2,1,7,5]
[3,5,8,7,4,1,2,6]=>[4,1,3,7,5,2,8,6]
[7,3,8,4,1,2,5,6]=>[4,1,8,7,3,5,2,6]
[4,8,1,2,7,3,5,6]=>[8,1,7,4,3,5,2,6]
[6,8,1,2,7,4,5,3]=>[8,1,5,7,4,6,2,3]
[5,6,8,4,1,3,7,2]=>[4,8,2,7,5,6,3,1]
[8,5,4,7,1,6,3,2]=>[7,3,6,5,8,1,4,2]
[2,5,8,7,3,6,4,1]=>[4,2,6,7,5,1,8,3]
[2,4,8,7,5,6,1,3]=>[6,2,1,4,7,5,8,3]
[3,7,4,8,5,6,2,1]=>[2,6,3,7,8,5,4,1]
[6,4,8,7,5,1,2,3]=>[5,1,2,7,6,3,8,4]
[3,8,5,2,4,6,7,1]=>[7,5,3,2,8,4,6,1]
[5,7,1,8,4,6,2,3]=>[7,6,2,8,5,4,1,3]
[6,3,8,7,2,1,4,5]=>[2,7,6,1,4,3,8,5]
[2,3,7,8,5,6,1,4]=>[6,2,3,1,8,5,7,4]
[3,7,6,8,5,1,2,4]=>[5,1,3,2,8,7,6,4]
[2,6,7,8,5,1,3,4]=>[5,2,1,3,8,6,7,4]
[2,4,7,8,1,6,3,5]=>[8,2,6,4,3,1,7,5]
[5,4,7,8,2,6,3,1]=>[3,6,8,5,4,1,7,2]
[2,8,3,4,1,5,7,6]=>[4,2,8,3,1,7,5,6]
[6,8,3,4,1,2,7,5]=>[4,1,8,3,7,6,2,5]
[6,8,7,1,5,2,3,4]=>[7,5,2,3,1,6,8,4]
[5,8,3,2,7,6,1,4]=>[6,3,7,2,5,8,1,4]
[2,5,3,1,8,6,7,4]=>[3,2,5,7,1,8,6,4]
[4,5,3,2,8,6,7,1]=>[7,3,5,4,2,8,6,1]
[3,5,8,6,1,4,7,2]=>[6,8,3,2,5,7,4,1]
[2,8,5,6,1,4,7,3]=>[6,2,7,1,8,5,4,3]
[4,8,6,1,5,2,7,3]=>[6,5,8,4,3,7,2,1]
[5,8,2,3,7,6,1,4]=>[6,7,1,2,5,8,3,4]
[4,6,8,5,3,2,7,1]=>[7,3,5,4,8,6,2,1]
[2,6,4,8,5,1,7,3]=>[5,2,8,7,6,1,3,4]
[7,6,4,8,5,2,1,3]=>[2,5,1,8,6,7,3,4]
[3,4,8,6,5,2,7,1]=>[7,5,3,4,6,8,2,1]
[3,4,8,7,5,6,2,1]=>[2,6,3,4,7,5,8,1]
[7,5,3,2,8,6,1,4]=>[6,3,5,2,8,7,1,4]
[2,5,1,3,8,6,7,4]=>[5,2,1,7,3,8,6,4]
[4,5,1,2,8,6,7,3]=>[5,1,7,4,2,8,6,3]
[5,4,8,1,3,6,7,2]=>[8,7,1,5,4,3,6,2]
[8,3,5,4,1,6,7,2]=>[4,5,7,8,1,2,6,3]
[7,3,4,8,5,6,1,2]=>[6,1,7,3,8,5,4,2]
[6,1,5,7,2,4,8,3]=>[6,7,8,2,1,5,4,3]
[7,4,5,1,2,3,8,6]=>[5,1,2,7,4,8,3,6]
[7,4,3,1,2,8,5,6]=>[3,1,4,7,8,5,2,6]
[8,4,7,6,2,1,5,3]=>[2,6,5,7,4,8,1,3]
[8,4,6,5,7,1,3,2]=>[7,3,1,8,6,4,5,2]
[7,2,1,4,5,8,3,6]=>[2,7,8,1,4,3,5,6]
[7,4,1,6,3,5,8,2]=>[4,7,8,6,1,2,5,3]
[3,5,7,6,4,1,8,2]=>[4,6,3,7,5,8,1,2]
[4,7,5,2,1,3,8,6]=>[2,5,1,4,7,8,3,6]
[5,7,2,3,6,4,8,1]=>[8,7,2,6,5,3,4,1]
[8,6,2,3,7,1,4,5]=>[7,6,2,1,4,8,3,5]
[5,7,2,4,8,3,6,1]=>[6,7,8,2,5,3,4,1]
[1,7,2,4,8,6,3,5]=>[1,7,6,2,3,8,4,5]
[7,6,1,5,4,8,3,2]=>[6,3,7,5,2,8,4,1]
[4,7,3,2,1,8,5,6]=>[2,3,7,4,8,5,1,6]
[3,1,7,2,5,8,4,6]=>[3,7,1,8,2,4,5,6]
[4,8,7,6,1,2,5,3]=>[6,1,5,4,2,7,8,3]
[7,8,6,1,3,2,5,4]=>[6,3,1,5,2,8,7,4]
[2,8,6,7,4,1,3,5]=>[4,2,1,7,3,8,6,5]
[5,8,6,4,2,3,1,7]=>[3,4,2,6,5,8,1,7]
[2,8,3,1,6,5,4,7]=>[3,2,8,5,6,1,4,7]
[3,8,1,2,5,7,4,6]=>[8,1,3,7,2,4,5,6]
[6,8,5,4,2,7,3,1]=>[3,7,4,5,8,6,1,2]
[6,8,3,1,2,4,5,7]=>[3,1,8,2,4,6,5,7]
[4,6,8,7,3,1,5,2]=>[3,7,5,4,2,6,8,1]
[6,5,3,7,8,4,1,2]=>[4,1,8,5,6,2,7,3]
[4,1,3,8,7,5,6,2]=>[4,6,1,3,7,5,8,2]
[6,2,7,4,8,1,3,5]=>[8,6,1,7,3,2,4,5]
[8,4,5,2,1,6,3,7]=>[2,5,6,8,4,1,3,7]
[4,3,2,6,8,1,7,5]=>[8,3,4,2,7,6,1,5]
[7,1,5,6,3,8,2,4]=>[7,8,6,2,1,5,3,4]
[5,1,2,4,7,8,3,6]=>[5,1,8,2,4,3,7,6]
[3,5,4,2,8,1,6,7]=>[8,4,3,5,2,1,6,7]
[5,1,3,8,4,2,7,6]=>[5,4,1,8,3,7,2,6]
[6,2,8,7,3,5,4,1]=>[4,5,6,7,1,3,8,2]
[7,1,8,4,3,6,5,2]=>[7,5,4,6,8,2,1,3]
[3,6,8,7,4,1,2,5]=>[4,1,3,7,2,6,8,5]
[5,6,8,1,7,3,2,4]=>[8,3,7,2,5,6,1,4]
[3,1,6,8,7,4,2,5]=>[3,4,1,7,2,6,8,5]
[7,4,6,8,2,1,5,3]=>[2,8,5,7,1,4,6,3]
[6,5,8,4,3,1,2,7]=>[3,1,4,8,6,5,2,7]
[2,5,8,3,6,7,4,1]=>[4,2,7,8,5,1,6,3]
[8,5,1,3,7,4,6,2]=>[5,8,2,6,7,1,3,4]
[1,5,8,3,7,4,2,6]=>[1,4,7,8,5,3,2,6]
[3,8,2,7,1,5,6,4]=>[7,8,3,6,1,5,2,4]
[5,8,2,3,6,4,1,7]=>[4,6,1,8,5,3,2,7]
[6,8,2,3,4,7,5,1]=>[5,7,1,3,8,6,4,2]
[3,5,8,7,4,2,6,1]=>[6,4,3,7,5,2,8,1]
[7,5,1,8,4,2,6,3]=>[5,4,7,8,6,2,3,1]
[3,6,8,5,2,7,4,1]=>[4,7,3,5,8,6,1,2]
[2,1,6,5,4,8,3,7]=>[2,1,8,5,6,4,3,7]
[2,1,7,8,4,6,5,3]=>[2,1,5,6,8,3,7,4]
[2,1,7,4,3,5,8,6]=>[2,1,4,7,3,8,5,6]
[3,5,7,8,4,6,1,2]=>[6,1,3,8,5,4,7,2]
[7,5,2,8,4,6,3,1]=>[3,6,5,7,8,1,4,2]
[8,6,2,3,5,7,1,4]=>[7,6,2,1,3,8,5,4]
[7,8,2,4,3,1,5,6]=>[3,4,8,1,2,5,7,6]
[7,6,3,8,1,5,4,2]=>[8,4,5,6,1,7,2,3]
[6,2,7,1,3,5,8,4]=>[7,6,1,8,3,2,5,4]
[6,1,8,2,3,5,4,7]=>[6,8,2,5,3,1,4,7]
[7,2,4,1,6,3,8,5]=>[4,7,6,2,8,1,3,5]
[8,4,3,1,7,5,2,6]=>[3,4,8,5,7,2,1,6]
[7,3,1,4,6,8,5,2]=>[3,7,5,2,8,4,6,1]
[7,3,8,5,2,6,4,1]=>[4,6,5,8,7,1,3,2]
[4,3,8,7,1,6,5,2]=>[7,5,4,3,6,1,8,2]
[4,7,1,8,5,2,6,3]=>[7,5,8,4,6,3,1,2]
[5,3,2,4,7,8,6,1]=>[6,3,5,2,4,8,7,1]
[5,3,4,2,8,7,1,6]=>[7,4,5,3,2,1,8,6]
[5,2,4,3,6,8,1,7]=>[8,5,4,2,3,6,1,7]
[3,8,6,5,4,1,2,7]=>[4,1,3,5,6,8,2,7]
[4,7,5,6,3,8,2,1]=>[2,8,6,4,7,5,3,1]
[4,8,5,7,2,3,1,6]=>[3,7,2,4,8,1,5,6]
[4,2,7,5,8,3,6,1]=>[6,4,8,2,7,3,5,1]
[3,8,5,7,1,4,6,2]=>[7,6,3,1,8,4,5,2]
[5,8,2,7,3,4,6,1]=>[6,8,7,3,5,4,2,1]
[6,8,2,5,4,3,1,7]=>[3,4,5,8,2,6,1,7]
[6,7,2,4,5,3,8,1]=>[8,7,5,2,4,6,3,1]
[5,7,2,8,3,6,1,4]=>[6,7,8,1,5,3,2,4]
[5,1,3,6,4,2,8,7]=>[5,4,1,6,3,2,8,7]
[5,1,8,7,4,6,2,3]=>[5,6,2,7,1,4,8,3]
[6,8,3,7,5,4,2,1]=>[2,4,5,7,8,6,3,1]
[6,1,3,4,7,5,8,2]=>[6,8,1,3,7,4,5,2]
[6,3,2,1,4,8,5,7]=>[2,3,6,1,8,4,5,7]
[6,2,3,1,4,7,8,5]=>[3,6,2,1,8,4,7,5]
[6,2,1,4,8,7,5,3]=>[2,6,5,1,7,4,8,3]
[6,2,8,3,5,7,4,1]=>[4,7,6,8,1,3,5,2]
[5,2,1,3,6,4,8,7]=>[2,5,1,6,3,4,8,7]
[7,1,8,3,5,4,6,2]=>[7,6,8,5,3,4,1,2]
[7,1,2,4,8,5,6,3]=>[7,1,6,2,8,5,4,3]
[7,1,3,2,4,8,6,5]=>[7,3,1,2,6,8,4,5]
[7,2,1,3,4,5,8,6]=>[2,7,1,3,4,8,5,6]
[8,7,3,5,4,2,1,6]=>[2,4,5,7,1,3,8,6]
[8,4,6,5,3,2,1,7]=>[2,3,5,6,8,1,4,7]
[5,1,6,4,3,2,8,7]=>[5,3,4,6,1,2,8,7]
[8,3,7,1,4,6,5,2]=>[7,5,6,1,8,4,2,3]
[2,8,3,6,4,7,5,1]=>[5,2,7,8,6,4,1,3]
[6,2,1,7,5,8,3,4]=>[2,6,8,3,7,1,5,4]
[6,3,8,7,5,2,1,4]=>[2,5,7,3,6,1,8,4]
[6,7,2,1,5,8,4,3]=>[2,7,4,8,1,6,5,3]
[7,6,8,1,5,4,3,2]=>[8,3,4,5,1,7,6,2]
[5,4,8,7,6,1,3,2]=>[6,3,1,5,4,7,8,2]
[7,6,1,8,5,4,3,2]=>[6,3,4,5,7,8,2,1]
[6,5,8,1,7,4,3,2]=>[8,3,4,7,6,5,1,2]
[6,5,8,7,4,1,3,2]=>[4,3,1,7,6,5,8,2]
[1,6,4,8,3,2,5,7]=>[1,3,8,6,2,4,5,7]
[1,8,3,5,6,2,4,7]=>[1,6,8,2,3,5,4,7]
[1,4,8,5,6,2,3,7]=>[1,6,2,4,8,5,3,7]
[1,2,8,5,3,7,4,6]=>[1,2,5,8,7,3,4,6]
[6,1,4,8,2,3,5,7]=>[6,8,2,1,3,4,5,7]
[8,7,2,5,6,1,4,3]=>[6,7,4,1,2,5,8,3]
[1,8,2,5,4,7,3,6]=>[1,8,7,5,2,3,4,6]
[5,7,4,1,2,3,8,6]=>[4,1,2,7,5,8,3,6]
[1,7,4,2,5,3,8,6]=>[1,4,7,5,3,8,2,6]
[6,7,4,2,1,3,8,5]=>[2,4,1,7,8,6,3,5]
[6,4,3,8,5,7,1,2]=>[7,1,4,6,8,3,5,2]
[7,4,3,6,2,1,5,8]=>[2,6,4,7,1,3,5,8]
[7,2,5,3,4,1,6,8]=>[4,7,5,3,2,1,6,8]
[8,3,7,4,5,6,1,2]=>[6,1,8,7,4,5,3,2]
[2,7,4,3,1,5,6,8]=>[3,2,4,7,1,5,6,8]
[6,8,4,2,3,1,5,7]=>[3,4,2,8,1,6,5,7]
[3,7,5,2,4,1,6,8]=>[4,5,3,2,7,1,6,8]
[7,1,3,2,8,4,5,6]=>[7,3,1,8,4,5,2,6]
[2,1,7,4,8,3,5,6]=>[2,1,8,7,3,5,4,6]
[5,2,8,6,1,3,4,7]=>[6,5,1,3,2,8,4,7]
[2,8,3,1,4,5,6,7]=>[3,2,8,1,4,5,6,7]
[7,4,8,2,3,1,5,6]=>[3,8,2,7,1,5,4,6]
[4,2,7,3,1,5,6,8]=>[3,7,4,1,2,5,6,8]
[8,3,7,2,1,4,5,6]=>[2,7,8,1,4,5,3,6]
[6,5,2,4,7,1,3,8]=>[7,5,1,2,6,4,3,8]
[6,5,7,4,1,8,2,3]=>[4,7,1,8,6,5,2,3]
[7,6,4,5,1,8,2,3]=>[5,8,2,6,4,7,1,3]
[8,6,4,1,3,7,2,5]=>[4,6,1,8,2,7,3,5]
[6,4,3,1,8,2,5,7]=>[3,4,6,8,2,1,5,7]
[7,4,1,2,8,3,5,6]=>[4,1,7,8,2,5,3,6]
[4,8,1,3,5,7,2,6]=>[8,7,1,4,3,2,5,6]
[7,8,4,1,3,6,2,5]=>[4,8,2,6,1,3,7,5]
[6,5,8,1,3,7,2,4]=>[8,7,1,2,6,5,3,4]
[5,3,6,1,8,2,4,7]=>[6,8,5,2,3,1,4,7]
[4,7,3,1,8,2,5,6]=>[3,7,8,4,1,5,2,6]
[8,3,1,7,2,4,5,6]=>[3,8,7,1,4,5,2,6]
[2,8,1,4,7,3,5,6]=>[8,2,7,1,3,5,4,6]
[3,1,8,5,4,7,6,2]=>[3,6,1,5,7,8,2,4]
[4,1,5,8,3,7,6,2]=>[4,6,7,1,5,8,2,3]
[4,1,5,3,8,7,6,2]=>[4,6,5,1,3,7,8,2]
[4,5,1,8,2,7,6,3]=>[5,8,6,4,1,7,2,3]
[4,8,5,3,1,7,6,2]=>[3,5,8,4,6,7,1,2]
[4,5,2,8,1,7,6,3]=>[8,5,6,4,2,7,1,3]
[4,5,2,1,8,7,6,3]=>[2,5,6,4,1,7,8,3]
[5,6,2,7,8,1,4,3]=>[8,6,4,1,5,2,7,3]
[4,6,2,8,7,1,5,3]=>[7,6,5,4,1,2,8,3]
[4,8,6,3,7,1,5,2]=>[7,5,6,4,1,8,3,2]
[4,8,6,3,7,5,1,2]=>[5,1,7,4,6,8,2,3]
[4,6,8,2,7,5,1,3]=>[5,7,2,4,8,6,1,3]
[4,6,2,8,7,5,1,3]=>[5,7,2,4,6,1,8,3]
[5,6,2,7,4,1,8,3]=>[4,7,6,8,5,3,2,1]
[5,6,7,2,3,1,8,4]=>[3,7,2,8,5,6,1,4]
[5,6,7,2,8,3,1,4]=>[3,8,7,2,5,6,1,4]
[5,6,7,2,1,8,3,4]=>[2,7,8,3,5,6,1,4]
[5,6,7,2,1,3,8,4]=>[2,7,1,8,5,6,3,4]
[5,6,1,7,8,2,4,3]=>[6,8,4,2,5,1,7,3]
[5,6,1,7,2,4,8,3]=>[6,7,8,2,5,1,4,3]
[5,1,6,7,8,3,4,2]=>[5,4,8,3,1,6,7,2]
[4,1,6,8,7,3,5,2]=>[4,5,7,1,3,6,8,2]
[3,1,8,6,7,5,4,2]=>[3,4,1,5,7,8,6,2]
[4,1,6,8,7,5,3,2]=>[4,3,5,1,7,6,8,2]
[5,1,6,7,4,8,3,2]=>[5,3,8,7,1,6,4,2]
[5,6,1,7,8,4,2,3]=>[6,4,2,8,5,1,7,3]
[4,6,8,1,7,5,2,3]=>[8,5,2,4,7,6,1,3]
[4,8,6,1,7,5,3,2]=>[6,3,5,4,8,7,2,1]
[5,6,7,1,8,3,2,4]=>[7,3,8,2,5,6,1,4]
[5,6,7,1,3,8,2,4]=>[7,8,1,2,5,6,3,4]
[5,6,7,1,3,2,8,4]=>[7,3,1,8,5,6,2,4]
[5,6,7,3,1,2,8,4]=>[3,1,7,8,5,6,2,4]
[5,6,7,3,8,1,2,4]=>[8,1,7,2,5,6,3,4]
[5,6,8,7,4,2,1,3]=>[2,4,1,7,5,6,8,3]
[5,6,7,3,8,2,1,4]=>[2,8,7,1,5,6,3,4]
[7,4,6,2,3,5,1,8]=>[5,6,2,7,3,4,1,8]
[1,4,8,6,3,2,5,7]=>[1,3,6,4,2,8,5,7]
[7,4,1,6,3,8,5,2]=>[4,7,5,8,6,2,3,1]
[7,6,3,1,5,8,4,2]=>[3,6,4,7,1,8,5,2]
[6,4,2,5,7,3,1,8]=>[3,7,4,6,1,5,2,8]
[4,2,5,7,6,3,1,8]=>[3,6,4,1,5,7,2,8]
[7,4,5,6,1,8,3,2]=>[6,3,8,7,4,5,1,2]
[4,1,5,8,6,3,2,7]=>[4,3,6,1,5,8,2,7]
[3,2,7,6,1,8,5,4]=>[6,3,2,5,7,8,4,1]
[4,7,5,1,6,8,2,3]=>[5,7,1,4,8,2,6,3]
[8,6,5,1,2,7,4,3]=>[5,1,4,6,8,7,2,3]
[3,2,5,1,4,8,7,6]=>[5,3,2,1,4,7,8,6]
[8,5,4,1,3,2,7,6]=>[4,3,1,5,8,7,2,6]
[1,4,2,3,6,8,7,5]=>[1,4,2,3,7,6,8,5]
[5,4,8,3,7,1,6,2]=>[7,6,8,5,4,1,3,2]
[4,7,1,8,2,5,3,6]=>[7,8,5,4,2,3,1,6]
[6,4,1,8,5,3,7,2]=>[4,6,7,5,8,2,1,3]
[8,4,6,1,3,5,2,7]=>[6,5,1,8,3,4,2,7]
[3,2,5,4,7,8,1,6]=>[8,3,2,5,4,1,7,6]
[5,2,4,3,7,8,1,6]=>[8,5,4,2,3,1,7,6]
[8,1,6,7,2,5,3,4]=>[8,7,5,3,2,1,6,4]
[3,1,7,6,5,8,2,4]=>[3,8,1,2,6,7,5,4]
[1,2,7,5,6,8,3,4]=>[1,2,8,3,7,5,6,4]
[6,1,4,7,2,8,3,5]=>[6,7,8,1,3,4,2,5]
[3,2,1,7,6,8,4,5]=>[2,3,1,8,4,7,6,5]
[3,2,8,6,4,7,1,5]=>[7,3,2,6,1,8,4,5]
[7,8,4,6,3,2,1,5]=>[2,3,6,8,1,4,7,5]
[1,8,6,5,3,7,2,4]=>[1,7,5,2,6,8,3,4]
[8,2,5,3,6,7,1,4]=>[7,8,5,1,2,3,6,4]
[3,8,5,2,7,6,1,4]=>[6,5,3,2,7,8,1,4]
[4,7,5,3,1,8,6,2]=>[3,5,7,4,6,8,1,2]
[4,5,3,6,8,1,7,2]=>[8,7,5,4,3,6,1,2]
[3,5,2,6,1,8,7,4]=>[6,5,3,7,2,1,8,4]
[1,6,3,5,7,2,8,4]=>[1,7,6,8,3,5,2,4]
[1,5,4,6,7,8,2,3]=>[1,8,2,5,4,6,7,3]
[8,4,6,5,7,2,1,3]=>[2,7,1,8,6,4,5,3]
[7,4,5,2,6,8,1,3]=>[8,5,1,7,4,2,6,3]
[5,4,2,6,8,7,1,3]=>[7,4,1,5,2,6,8,3]
[7,8,4,3,1,2,6,5]=>[3,1,4,8,6,2,7,5]
[6,5,1,4,3,2,8,7]=>[5,3,4,1,6,2,8,7]
[2,6,5,1,4,7,3,8]=>[5,2,6,3,7,4,1,8]
[3,6,4,5,2,1,8,7]=>[2,5,3,6,4,1,8,7]
[5,7,4,1,3,8,6,2]=>[4,7,2,6,5,8,3,1]
[7,5,4,2,3,8,1,6]=>[8,4,2,5,7,1,3,6]
[5,2,6,7,3,1,4,8]=>[3,7,5,2,1,6,4,8]
[2,4,3,8,6,1,5,7]=>[6,2,4,3,1,8,5,7]
[7,8,1,3,5,6,2,4]=>[8,6,1,2,3,5,7,4]
[7,8,3,1,5,6,2,4]=>[3,8,6,1,2,5,7,4]
[7,1,3,8,5,6,2,4]=>[7,6,1,2,8,5,3,4]
[1,7,8,3,5,6,2,4]=>[1,6,8,2,3,5,7,4]
[5,1,7,8,3,4,6,2]=>[5,6,8,3,1,4,7,2]
[1,5,7,8,3,4,6,2]=>[1,6,8,3,5,4,7,2]
[3,7,1,5,8,6,2,4]=>[7,6,3,2,1,8,5,4]
[1,3,7,8,2,5,6,4]=>[1,8,3,6,2,5,7,4]
[3,1,7,8,5,2,6,4]=>[3,5,1,8,6,4,7,2]
[1,3,7,5,8,2,6,4]=>[1,8,3,6,7,2,5,4]
[3,1,7,5,8,2,6,4]=>[3,8,1,6,7,2,5,4]
[3,5,7,1,8,4,6,2]=>[7,6,3,8,5,4,1,2]
[3,5,7,8,1,4,6,2]=>[8,6,3,1,5,4,7,2]
[5,3,7,8,4,6,1,2]=>[6,1,5,8,3,4,7,2]
[5,3,7,8,4,1,6,2]=>[4,8,6,5,1,2,7,3]
[5,3,7,8,1,4,6,2]=>[8,6,5,1,3,4,7,2]
[5,3,7,1,8,4,6,2]=>[7,6,5,8,3,4,1,2]
[1,5,3,7,8,4,2,6]=>[1,4,8,5,2,3,7,6]
[5,1,3,7,8,4,2,6]=>[5,4,1,8,3,2,7,6]
[3,6,2,1,4,5,8,7]=>[2,6,3,1,4,5,8,7]
[4,6,2,5,1,3,8,7]=>[5,6,1,4,2,3,8,7]
[6,4,2,5,1,3,8,7]=>[5,4,1,6,2,3,8,7]
[8,6,1,7,3,2,4,5]=>[6,3,8,1,4,7,2,5]
[2,5,8,1,7,3,4,6]=>[8,2,7,3,5,4,1,6]
[6,8,2,7,3,1,4,5]=>[3,7,8,2,4,6,1,5]
[6,8,2,3,7,1,4,5]=>[7,8,2,1,4,6,3,5]
[8,6,2,7,4,5,1,3]=>[5,6,1,8,2,7,4,3]
[5,2,8,1,7,3,4,6]=>[8,5,7,3,2,4,1,6]
[4,2,3,8,1,5,6,7]=>[8,4,2,3,1,5,6,7]
[5,2,8,3,7,1,4,6]=>[7,5,8,1,2,4,3,6]
[5,2,8,4,6,1,3,7]=>[6,5,1,8,2,4,3,7]
[2,1,5,8,4,3,6,7]=>[2,1,4,8,5,3,6,7]
[5,8,3,2,7,1,4,6]=>[7,3,8,1,5,4,2,6]
[4,1,3,8,2,5,6,7]=>[4,8,1,3,2,5,6,7]
[3,5,8,2,7,1,4,6]=>[7,8,3,1,5,4,2,6]
[4,5,8,2,6,1,3,7]=>[6,8,1,4,5,2,3,7]
[2,6,8,3,7,1,4,5]=>[7,2,8,1,4,6,3,5]
[5,1,8,3,7,2,4,6]=>[5,7,8,2,1,4,3,6]
[5,1,8,4,6,2,3,7]=>[5,6,2,8,1,4,3,7]
[5,8,4,1,6,2,3,7]=>[4,8,1,6,5,2,3,7]
[4,5,8,1,6,2,3,7]=>[8,6,2,4,5,1,3,7]
[5,4,8,1,6,2,3,7]=>[8,6,2,5,4,1,3,7]
[4,8,5,1,6,2,3,7]=>[5,8,1,4,6,2,3,7]
[2,1,5,4,8,3,6,7]=>[2,1,8,5,4,3,6,7]
[2,4,3,8,1,5,6,7]=>[8,2,4,3,1,5,6,7]
[3,1,8,4,2,5,6,7]=>[3,4,1,8,2,5,6,7]
[3,8,4,2,1,5,6,7]=>[2,4,3,8,1,5,6,7]
[2,3,8,4,1,5,6,7]=>[4,2,3,8,1,5,6,7]
[3,4,2,8,1,5,6,7]=>[8,4,3,2,1,5,6,7]
[3,8,5,2,7,1,4,6]=>[7,5,3,1,8,4,2,6]
[4,8,5,2,6,1,3,7]=>[6,5,1,4,8,2,3,7]
[2,1,4,8,5,3,6,7]=>[2,1,5,4,8,3,6,7]
[3,2,8,4,1,5,6,7]=>[4,3,2,8,1,5,6,7]
[2,8,4,3,1,5,6,7]=>[3,2,4,8,1,5,6,7]
[4,1,7,5,6,2,8,3]=>[4,6,8,1,7,5,2,3]
[5,7,4,3,8,1,6,2]=>[8,6,4,7,5,1,3,2]
[5,7,4,3,8,2,6,1]=>[6,8,4,7,5,2,3,1]
[3,8,4,2,6,7,5,1]=>[5,4,3,7,8,1,6,2]
[3,8,4,1,6,7,5,2]=>[4,8,3,5,7,2,6,1]
[6,1,7,5,2,8,4,3]=>[6,5,4,7,8,1,3,2]
[5,6,4,3,2,8,1,7]=>[8,3,4,6,5,2,1,7]
[2,6,7,5,3,8,4,1]=>[4,2,8,5,7,6,1,3]
[6,7,4,8,2,5,3,1]=>[3,5,8,7,1,6,4,2]
[2,1,6,7,5,3,8,4]=>[2,1,5,7,8,6,4,3]
[3,8,4,2,1,6,7,5]=>[2,4,3,8,7,1,6,5]
[5,7,4,3,8,2,1,6]=>[2,8,4,7,5,1,3,6]
[6,7,4,8,1,2,5,3]=>[8,1,5,7,2,6,4,3]
[6,7,5,8,1,2,4,3]=>[8,1,4,2,7,6,5,3]
[6,7,4,8,3,1,2,5]=>[3,1,8,7,2,6,4,5]
[3,4,8,1,2,5,7,6]=>[8,1,3,4,2,7,5,6]
[6,1,3,4,8,2,5,7]=>[6,8,1,3,2,4,5,7]
[6,2,3,4,8,1,5,7]=>[8,6,2,3,1,4,5,7]
[3,4,8,2,1,5,7,6]=>[2,8,3,4,1,7,5,6]
[6,7,5,8,2,4,3,1]=>[3,4,8,1,7,6,5,2]
[6,7,5,8,3,1,4,2]=>[3,8,4,2,7,6,5,1]
[3,4,8,1,5,7,6,2]=>[8,6,3,4,1,7,5,2]
[2,5,7,6,1,4,8,3]=>[6,2,7,3,5,8,4,1]
[6,7,4,8,2,3,5,1]=>[5,8,2,7,3,6,4,1]
[6,7,4,8,1,3,5,2]=>[8,5,1,7,3,6,4,2]
[2,6,7,5,1,3,8,4]=>[5,2,1,7,8,6,4,3]
[6,3,1,4,8,2,5,7]=>[3,6,8,2,1,4,5,7]
[6,7,4,8,1,3,2,5]=>[8,3,1,7,2,6,4,5]
[6,7,5,8,4,1,3,2]=>[4,3,1,8,7,6,5,2]
[6,7,4,8,2,1,3,5]=>[2,8,1,7,3,6,4,5]
[6,7,4,8,1,2,3,5]=>[8,1,2,7,3,6,4,5]
[1,5,6,3,4,8,2,7]=>[1,8,6,3,5,4,2,7]
[1,4,3,6,5,8,2,7]=>[1,8,4,3,6,5,2,7]
[8,1,3,4,7,2,6,5]=>[8,7,1,3,6,2,4,5]
[5,1,7,3,4,8,2,6]=>[5,8,7,3,1,2,4,6]
[6,7,8,2,3,5,4,1]=>[4,5,1,8,3,6,7,2]
[5,8,6,2,3,7,4,1]=>[4,7,1,6,5,8,3,2]
[2,8,3,4,7,5,6,1]=>[6,2,8,3,7,5,4,1]
[1,8,3,4,7,6,2,5]=>[1,6,7,2,3,8,4,5]
[8,7,2,3,6,5,4,1]=>[4,5,2,6,7,3,8,1]
[3,8,1,7,5,2,6,4]=>[8,5,3,7,6,4,1,2]
[4,8,1,6,7,2,5,3]=>[8,7,5,4,2,1,6,3]
[2,1,3,8,4,6,5,7]=>[2,1,3,8,6,4,5,7]
[8,2,1,7,4,3,6,5]=>[2,8,4,7,6,3,1,5]
[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]
[8,3,1,5,7,2,6,4]=>[3,8,7,6,2,1,5,4]
[8,4,5,1,7,2,6,3]=>[5,7,6,8,4,2,1,3]
[1,5,6,8,7,4,2,3]=>[1,4,2,7,5,6,8,3]
[8,4,5,7,6,3,2,1]=>[2,3,6,7,1,8,5,4]
[1,4,8,5,7,6,2,3]=>[1,6,2,4,7,8,3,5]
[2,4,8,5,7,3,6,1]=>[6,2,7,4,8,3,5,1]
[4,3,8,6,5,7,2,1]=>[2,7,4,3,6,8,5,1]
[6,7,2,8,5,3,4,1]=>[4,7,5,3,8,6,2,1]
[5,2,7,8,6,3,4,1]=>[4,5,6,3,2,8,7,1]
[4,2,8,6,7,3,5,1]=>[5,4,7,2,3,8,6,1]
[3,2,8,7,5,4,6,1]=>[6,3,2,5,7,4,8,1]
[3,1,8,7,5,6,2,4]=>[3,6,1,2,7,5,8,4]
[4,1,8,6,7,5,2,3]=>[4,5,2,1,7,8,6,3]
[5,1,7,8,6,4,2,3]=>[5,4,2,6,1,8,7,3]
[6,7,1,8,5,4,2,3]=>[7,4,2,5,8,6,1,3]
[7,8,3,2,6,1,4,5]=>[6,3,8,1,4,2,7,5]
[3,4,8,2,6,1,7,5]=>[6,8,3,4,7,2,1,5]
[7,8,4,1,5,6,3,2]=>[4,3,8,6,2,5,7,1]
[7,8,1,4,5,6,3,2]=>[8,3,6,1,4,5,7,2]
[7,8,1,2,6,3,4,5]=>[8,1,6,3,4,2,7,5]
[7,8,5,1,4,6,3,2]=>[5,3,8,2,6,4,7,1]
[7,8,4,5,1,6,3,2]=>[5,3,6,8,4,1,7,2]
[5,3,8,4,1,6,7,2]=>[4,8,7,5,1,2,6,3]
[6,2,4,8,1,5,3,7]=>[8,6,5,2,1,4,3,7]
[3,4,8,5,1,6,7,2]=>[5,8,3,4,7,2,6,1]
[3,5,8,1,4,6,7,2]=>[8,7,3,1,5,4,6,2]
[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]
[5,3,8,1,4,6,7,2]=>[8,7,5,1,3,4,6,2]
[4,2,6,8,1,5,3,7]=>[8,4,5,2,1,6,3,7]
[7,4,2,8,1,5,3,6]=>[8,4,7,5,1,2,3,6]
[6,1,7,5,8,4,3,2]=>[6,3,4,8,7,1,5,2]
[6,2,1,8,4,5,3,7]=>[2,6,5,8,4,1,3,7]
[1,2,7,8,5,3,4,6]=>[1,2,5,3,8,4,7,6]
[6,3,7,8,5,4,1,2]=>[4,1,5,8,6,3,7,2]
[6,1,5,7,8,4,3,2]=>[6,3,4,8,1,5,7,2]
[1,7,5,6,8,4,3,2]=>[1,3,4,8,7,5,6,2]
[3,1,8,4,5,6,7,2]=>[3,7,1,8,4,5,6,2]
[2,1,4,8,6,5,3,7]=>[2,1,5,4,6,8,3,7]
[2,4,1,8,6,5,3,7]=>[4,2,5,1,6,8,3,7]
[4,2,1,8,6,5,3,7]=>[2,4,5,1,6,8,3,7]
[3,2,7,8,5,1,4,6]=>[5,3,2,1,8,4,7,6]
[2,3,7,8,5,1,4,6]=>[5,2,3,1,8,4,7,6]
[2,7,3,8,5,1,4,6]=>[5,2,8,3,7,4,1,6]
[3,6,2,8,5,1,4,7]=>[5,8,3,2,6,1,4,7]
[4,1,2,8,7,5,3,6]=>[4,1,5,2,7,3,8,6]
[1,4,2,8,7,5,3,6]=>[1,4,5,2,7,3,8,6]
[7,3,6,8,5,4,1,2]=>[4,1,5,8,7,3,6,2]
[7,2,1,8,5,3,4,6]=>[2,7,5,3,8,4,1,6]
[1,2,6,8,4,5,3,7]=>[1,2,5,8,4,6,3,7]
[7,1,6,5,8,4,3,2]=>[7,3,4,8,6,1,5,2]
[6,5,7,1,8,4,3,2]=>[7,3,4,8,6,5,1,2]
[5,7,6,1,8,4,3,2]=>[6,3,4,7,5,8,2,1]
[6,7,1,5,8,4,3,2]=>[7,3,4,8,1,6,5,2]
[6,7,3,8,5,4,1,2]=>[4,1,5,8,7,6,3,2]
[7,1,2,8,4,5,3,6]=>[7,1,5,8,4,3,2,6]
[7,6,1,5,8,4,3,2]=>[6,3,4,7,2,8,5,1]
[7,5,6,1,8,4,3,2]=>[6,3,4,8,7,5,1,2]
[7,1,6,5,3,2,4,8]=>[7,3,5,2,6,1,4,8]
[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]
[1,8,7,4,2,5,3,6]=>[1,4,7,5,3,2,8,6]
[8,7,4,2,5,3,6,1]=>[6,4,7,5,3,2,8,1]
[7,1,6,4,2,5,3,8]=>[7,4,6,5,3,1,2,8]
[2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8]
[7,1,5,3,6,4,2,8]=>[7,4,6,5,1,2,3,8]
[5,3,7,1,6,4,2,8]=>[7,4,6,5,2,1,3,8]
[5,3,6,4,2,7,1,8]=>[7,4,6,5,2,3,1,8]
[1,5,3,8,7,4,2,6]=>[1,4,7,5,2,3,8,6]
[7,4,2,8,6,3,5,1]=>[5,4,7,6,2,8,3,1]
[5,3,6,1,8,7,4,2]=>[6,4,7,5,2,1,8,3]
[6,1,5,3,8,7,4,2]=>[6,4,7,5,1,2,8,3]
[2,8,7,5,4,6,1,3]=>[6,2,1,5,7,4,8,3]
[2,3,1,8,7,5,4,6]=>[3,2,1,5,7,4,8,6]
[5,3,8,7,4,2,1,6]=>[2,4,7,5,1,3,8,6]
[7,4,2,1,8,6,3,5]=>[2,4,7,6,1,8,3,5]
[8,6,3,5,7,4,2,1]=>[2,4,7,6,1,8,5,3]
[1,8,6,3,5,7,4,2]=>[1,4,7,6,2,8,5,3]
[6,3,8,5,2,1,7,4]=>[2,5,8,6,7,4,3,1]
[8,6,3,7,4,2,1,5]=>[2,4,7,6,3,8,1,5]
[2,8,6,4,7,5,1,3]=>[5,2,1,7,6,8,3,4]
[5,1,8,6,3,7,4,2]=>[5,4,7,6,1,8,2,3]
[6,3,7,4,1,8,5,2]=>[4,7,5,8,6,3,2,1]
[8,5,2,6,3,7,4,1]=>[4,7,5,8,6,1,3,2]
[6,1,8,7,4,2,5,3]=>[6,4,7,5,3,1,8,2]
[8,6,3,7,4,2,5,1]=>[5,4,7,6,3,8,2,1]
[1,8,6,3,2,4,7,5]=>[1,3,6,2,8,7,5,4]
[8,6,3,2,4,7,5,1]=>[5,3,7,1,6,8,4,2]
[7,5,1,8,6,3,2,4]=>[5,3,7,1,6,8,2,4]
[6,1,8,7,5,3,2,4]=>[6,3,5,2,7,1,8,4]
[4,3,2,8,7,6,1,5]=>[6,3,4,2,1,7,8,5]
[2,4,5,1,3,8,7,6]=>[5,2,1,4,3,7,8,6]
[7,5,8,6,3,2,4,1]=>[4,3,6,2,8,7,1,5]
[1,7,5,8,6,3,2,4]=>[1,3,6,2,8,7,4,5]
[1,7,4,2,5,8,6,3]=>[1,4,7,6,3,8,5,2]
[8,6,3,1,7,4,2,5]=>[3,6,4,8,2,7,1,5]
[8,7,4,2,5,3,1,6]=>[3,5,4,7,1,2,8,6]
[5,3,1,8,7,4,2,6]=>[3,5,4,7,2,1,8,6]
[4,1,8,7,5,3,2,6]=>[4,3,5,1,7,2,8,6]
[2,8,6,4,1,3,7,5]=>[4,2,1,6,8,7,5,3]
[4,1,8,6,3,2,7,5]=>[4,3,6,1,8,7,5,2]
[7,4,2,8,6,3,1,5]=>[3,6,4,8,1,7,2,5]
[6,3,1,8,5,2,7,4]=>[3,6,5,8,7,2,4,1]
[8,5,2,6,3,1,7,4]=>[3,6,5,8,7,4,2,1]
[7,4,8,5,2,6,3,1]=>[3,6,5,8,7,4,1,2]
[1,8,5,2,7,4,6,3]=>[1,5,8,6,7,2,3,4]
[8,5,2,7,4,6,3,1]=>[3,6,5,8,7,1,4,2]
[7,4,6,3,1,8,5,2]=>[3,6,5,8,7,1,2,4]
[6,3,1,7,4,8,5,2]=>[3,6,5,8,7,2,1,4]
[8,6,3,1,5,7,4,2]=>[3,6,4,8,1,7,5,2]
[4,1,7,5,8,6,3,2]=>[4,3,6,1,8,7,2,5]
[2,3,1,7,5,8,6,4]=>[3,2,1,6,8,7,4,5]
[7,4,8,5,2,1,6,3]=>[2,5,8,6,7,3,1,4]
[8,5,2,1,7,4,6,3]=>[2,5,8,6,7,1,3,4]
[1,7,4,6,3,8,5,2]=>[1,5,8,6,7,2,4,3]
[3,6,5,2,1,4,8,7]=>[2,5,3,1,6,4,8,7]
[3,5,6,2,1,4,8,7]=>[2,6,3,1,5,4,8,7]
[3,5,7,8,1,4,2,6]=>[8,4,3,1,5,2,7,6]
[4,1,8,5,7,3,2,6]=>[4,3,7,1,8,2,5,6]
[4,1,7,5,8,3,2,6]=>[4,3,8,1,7,2,5,6]
[2,1,5,8,7,4,3,6]=>[2,1,4,7,5,3,8,6]
[2,1,5,7,8,4,3,6]=>[2,1,4,8,5,3,7,6]
[5,1,7,4,8,3,2,6]=>[5,3,8,7,1,2,4,6]
[4,7,2,8,3,6,1,5]=>[6,7,8,4,1,3,2,5]
[4,6,2,7,3,1,8,5]=>[3,7,6,4,8,1,2,5]
[3,7,8,2,4,1,6,5]=>[4,8,3,2,6,1,7,5]
[3,8,7,2,4,1,6,5]=>[4,7,3,2,6,1,8,5]
[3,8,6,2,4,1,7,5]=>[4,6,3,2,8,7,5,1]
[6,2,8,4,1,7,3,5]=>[4,8,6,7,1,3,2,5]
[7,3,4,8,1,6,2,5]=>[8,6,7,3,2,1,4,5]
[6,3,4,8,1,7,2,5]=>[8,7,6,3,2,4,1,5]
[5,3,4,8,1,2,7,6]=>[8,1,5,3,4,7,2,6]
[4,3,5,8,1,2,7,6]=>[8,1,4,3,5,7,2,6]
[1,8,5,4,2,3,7,6]=>[1,4,2,5,8,7,3,6]
[3,5,4,8,1,2,7,6]=>[8,1,3,5,4,7,2,6]
[4,5,3,8,1,2,7,6]=>[8,1,5,4,3,7,2,6]
[6,4,3,8,1,7,2,5]=>[8,7,4,6,2,3,1,5]
[7,4,3,8,1,6,2,5]=>[8,6,4,7,2,1,3,5]
[6,5,3,8,7,1,2,4]=>[7,1,5,2,6,3,8,4]
[5,6,3,8,7,1,2,4]=>[7,1,6,2,5,3,8,4]
[4,6,3,8,1,7,2,5]=>[8,7,6,4,2,3,1,5]
[2,6,8,4,1,7,3,5]=>[4,2,8,7,1,6,3,5]
[1,8,7,4,2,6,3,5]=>[1,4,7,6,2,3,8,5]
[5,7,3,8,6,1,2,4]=>[6,1,8,3,5,7,2,4]
[3,7,5,8,6,1,2,4]=>[6,1,3,2,8,7,4,5]
[2,7,8,5,6,1,3,4]=>[6,2,1,3,8,5,7,4]
[1,8,7,5,6,2,3,4]=>[1,6,2,3,7,5,8,4]
[2,6,8,5,7,1,3,4]=>[7,2,1,3,8,6,5,4]
[5,3,6,8,7,1,2,4]=>[7,1,5,2,3,6,8,4]
[6,3,5,8,7,1,2,4]=>[7,1,6,2,3,5,8,4]
[7,2,8,5,6,1,3,4]=>[6,7,1,3,8,5,2,4]
[5,2,8,6,7,1,3,4]=>[7,5,1,3,2,8,6,4]
[1,8,3,2,7,6,4,5]=>[1,3,8,6,4,7,2,5]
[5,2,8,7,6,1,3,4]=>[6,5,1,3,2,7,8,4]
[6,2,8,7,5,1,3,4]=>[5,7,2,3,6,1,8,4]
[3,4,7,8,1,6,2,5]=>[8,6,3,4,2,1,7,5]
[1,8,5,7,6,2,3,4]=>[1,6,2,3,7,8,4,5]
[2,5,8,7,6,1,3,4]=>[6,2,1,3,5,7,8,4]
[7,4,6,5,8,1,2,3]=>[8,1,2,7,6,4,5,3]
[3,6,7,8,5,1,2,4]=>[5,1,3,2,8,6,7,4]
[2,6,8,7,5,1,3,4]=>[5,2,1,3,7,6,8,4]
[1,8,6,7,5,2,3,4]=>[1,5,2,3,7,8,6,4]
[2,7,8,6,5,1,3,4]=>[5,2,1,3,6,8,7,4]
[5,7,6,4,8,1,2,3]=>[8,1,2,6,5,7,4,3]
[6,3,8,7,5,1,2,4]=>[5,1,7,3,6,2,8,4]
[2,8,7,4,1,3,5,6]=>[4,2,1,7,3,5,8,6]
[5,4,8,7,1,3,2,6]=>[7,3,1,5,4,2,8,6]
[4,8,6,1,3,2,5,7]=>[6,3,1,4,2,8,5,7]
[5,4,2,7,6,8,1,3]=>[8,4,1,5,2,7,6,3]
[2,8,7,1,4,5,3,6]=>[7,2,5,1,4,3,8,6]
[4,2,1,8,7,3,5,6]=>[2,4,7,1,3,5,8,6]
[5,1,6,3,2,8,7,4]=>[5,3,6,7,1,2,8,4]
[4,6,1,8,7,3,2,5]=>[6,3,7,4,2,1,8,5]
[8,7,2,3,5,4,1,6]=>[4,5,1,7,3,2,8,6]
[5,3,1,4,8,7,2,6]=>[3,5,7,2,4,1,8,6]
[4,3,5,2,8,7,1,6]=>[7,5,4,3,2,1,8,6]
[3,4,2,8,6,1,5,7]=>[6,4,3,2,1,8,5,7]
[3,7,6,8,1,5,2,4]=>[8,5,3,2,1,7,6,4]
[8,1,4,2,3,6,7,5]=>[8,4,2,1,7,3,6,5]
[3,7,2,1,8,6,4,5]=>[2,7,3,6,4,8,1,5]
[2,8,6,1,7,3,5,4]=>[6,2,8,5,1,7,3,4]
[1,7,6,3,5,8,2,4]=>[1,8,6,2,3,7,5,4]
[3,7,5,1,6,8,2,4]=>[5,7,3,1,8,2,6,4]
[3,6,5,8,1,4,7,2]=>[8,7,3,1,6,5,4,2]
[8,1,5,6,4,7,2,3]=>[8,7,2,6,1,5,4,3]
[3,6,7,4,1,8,2,5]=>[4,7,3,8,1,6,2,5]
[1,7,4,6,8,2,5,3]=>[1,8,5,7,2,4,6,3]
[7,5,8,2,6,3,1,4]=>[3,6,8,2,7,1,5,4]
[2,7,1,6,5,4,8,3]=>[7,2,8,5,6,1,4,3]
[7,3,2,6,1,8,5,4]=>[6,3,7,5,8,2,1,4]
[6,4,7,2,3,1,8,5]=>[3,7,2,6,8,4,1,5]
[5,3,1,8,4,6,2,7]=>[3,5,6,8,2,4,1,7]
[3,8,1,6,7,4,2,5]=>[8,4,3,7,2,1,6,5]
[2,7,4,3,6,8,1,5]=>[8,2,4,7,1,3,6,5]
[2,8,4,6,1,5,3,7]=>[6,2,5,8,1,4,3,7]
[8,4,1,6,3,2,5,7]=>[4,3,8,6,1,2,5,7]
[4,7,3,8,5,2,1,6]=>[2,5,8,4,7,3,1,6]
[3,1,7,4,8,5,2,6]=>[3,5,1,8,7,4,2,6]
[7,4,1,6,3,2,8,5]=>[4,3,7,6,8,2,1,5]
[3,8,6,2,7,4,1,5]=>[4,7,3,6,2,8,1,5]
[7,3,1,4,5,2,8,6]=>[3,7,5,2,4,8,1,6]
[6,1,4,8,5,3,2,7]=>[6,3,5,1,8,4,2,7]
[8,1,2,4,6,7,5,3]=>[8,1,5,2,7,4,6,3]
[8,1,3,6,7,5,4,2]=>[8,4,1,5,7,3,6,2]
[7,5,2,3,8,6,1,4]=>[6,5,1,2,8,7,3,4]
[8,6,2,4,1,3,7,5]=>[4,6,1,2,8,7,5,3]
[4,7,5,1,8,6,3,2]=>[5,3,7,4,6,8,2,1]
[4,7,3,2,8,5,6,1]=>[6,3,7,4,8,5,2,1]
[8,4,5,7,6,1,3,2]=>[6,3,1,7,2,8,5,4]
[7,5,8,4,2,3,6,1]=>[6,4,2,8,7,3,5,1]
[3,8,4,6,1,7,5,2]=>[6,5,3,7,8,2,1,4]
[3,7,4,6,5,2,8,1]=>[8,5,3,6,7,2,4,1]
[4,2,7,6,1,5,8,3]=>[6,4,7,2,3,8,5,1]
[8,3,1,4,5,7,6,2]=>[3,8,6,2,4,7,5,1]
[3,5,1,6,8,4,7,2]=>[5,7,3,8,1,6,4,2]
[6,1,5,7,3,8,4,2]=>[6,4,8,7,1,5,2,3]
[5,8,4,7,3,2,6,1]=>[6,3,7,8,5,2,4,1]
[7,2,6,5,8,4,1,3]=>[4,8,2,7,6,1,5,3]
[8,3,2,5,1,6,7,4]=>[5,3,8,7,2,1,6,4]
[2,6,8,3,7,4,1,5]=>[4,2,7,8,3,6,1,5]
[8,1,5,6,4,7,3,2]=>[8,3,7,6,1,5,4,2]
[2,5,8,1,6,4,7,3]=>[8,2,7,6,5,1,4,3]
[7,4,1,8,3,2,6,5]=>[4,3,7,8,6,1,2,5]
[8,3,7,4,2,1,6,5]=>[2,4,7,8,6,3,1,5]
[5,2,6,8,3,1,7,4]=>[3,8,5,7,1,6,2,4]
[3,6,5,8,4,1,7,2]=>[4,8,3,7,6,5,2,1]
[7,3,6,1,8,4,5,2]=>[6,5,7,8,4,3,1,2]
[8,2,7,3,4,6,5,1]=>[5,6,8,1,7,4,3,2]
[7,3,8,2,5,6,4,1]=>[4,6,8,7,3,5,1,2]
[5,7,3,1,6,4,8,2]=>[3,7,8,6,5,2,4,1]
[6,1,3,2,4,8,7,5]=>[6,3,1,2,7,4,8,5]
[8,7,4,2,3,6,1,5]=>[6,4,2,7,1,3,8,5]
[8,7,1,5,4,2,3,6]=>[7,4,2,5,1,3,8,6]
[3,7,1,5,2,8,6,4]=>[7,5,3,6,1,8,2,4]
[8,7,2,5,4,1,3,6]=>[4,5,2,7,1,3,8,6]
[8,7,2,5,3,1,4,6]=>[3,5,7,2,1,4,8,6]
[5,2,8,7,1,4,3,6]=>[7,5,4,1,2,3,8,6]
[7,1,8,6,2,4,3,5]=>[7,6,4,2,3,8,1,5]
[8,1,6,2,7,5,3,4]=>[8,6,5,3,7,1,2,4]
[7,1,6,2,8,5,3,4]=>[7,6,5,3,8,1,2,4]
[6,3,4,1,7,2,8,5]=>[4,7,6,3,8,1,2,5]
[7,2,4,3,5,1,8,6]=>[5,7,4,2,3,8,1,6]
[5,1,7,2,3,8,6,4]=>[5,7,2,6,1,8,3,4]
[8,2,3,5,1,7,6,4]=>[5,8,2,6,3,7,1,4]
[7,6,3,1,4,8,2,5]=>[3,6,7,1,2,8,4,5]
[6,1,8,2,7,5,3,4]=>[6,8,5,3,7,1,2,4]
[7,2,8,1,6,5,3,4]=>[8,7,5,3,6,1,2,4]
[7,2,6,4,3,8,1,5]=>[8,7,4,6,1,2,3,5]
[5,1,7,4,3,8,2,6]=>[5,8,4,7,1,2,3,6]
[5,3,1,7,4,8,2,6]=>[3,5,8,7,2,1,4,6]
[7,4,8,2,1,5,3,6]=>[2,8,5,7,1,3,4,6]
[8,2,4,1,6,3,7,5]=>[4,8,6,2,7,1,3,5]
[8,2,7,5,1,6,4,3]=>[5,7,4,8,6,2,3,1]
[6,1,7,3,2,8,5,4]=>[6,3,7,5,8,1,2,4]
[4,7,2,1,6,3,8,5]=>[2,7,6,4,8,1,3,5]
[6,2,1,5,3,8,4,7]=>[2,6,5,8,1,3,4,7]
[5,3,1,6,2,8,4,7]=>[3,5,6,8,2,1,4,7]
[6,1,5,2,8,4,3,7]=>[6,5,4,8,1,2,3,7]
[7,4,3,8,1,5,2,6]=>[8,5,4,7,1,2,3,6]
[7,4,8,1,5,3,2,6]=>[8,3,5,7,1,2,4,6]
[6,1,5,3,2,8,4,7]=>[6,3,5,8,1,2,4,7]
[6,3,2,8,4,1,5,7]=>[4,3,8,6,2,1,5,7]
[7,3,4,2,8,5,1,6]=>[5,4,8,1,7,3,2,6]
[7,1,6,3,4,2,8,5]=>[7,4,6,3,8,1,2,5]
[8,5,1,3,7,4,2,6]=>[5,4,2,8,7,1,3,6]
[3,8,6,1,5,2,7,4]=>[6,5,3,8,4,7,2,1]
[8,6,1,3,7,5,2,4]=>[6,5,2,1,8,7,3,4]
[4,8,5,6,1,7,3,2]=>[6,3,7,4,8,5,1,2]
[6,7,1,3,8,5,2,4]=>[7,5,1,2,8,6,3,4]
[3,6,7,1,5,2,8,4]=>[7,5,3,8,1,6,2,4]
[7,1,3,8,4,2,6,5]=>[7,4,1,8,6,2,3,5]
[5,6,2,7,1,3,8,4]=>[7,6,1,8,5,2,3,4]
[5,6,2,8,1,3,7,4]=>[8,6,1,7,5,2,3,4]
[6,1,8,3,7,5,2,4]=>[6,5,7,3,8,1,2,4]
[7,4,2,1,5,8,3,6]=>[2,4,7,8,3,1,5,6]
[7,4,1,5,8,3,2,6]=>[4,3,7,8,2,1,5,6]
[7,3,2,6,4,8,1,5]=>[8,3,7,6,1,2,4,5]
[6,4,2,7,3,8,1,5]=>[8,4,6,7,1,3,2,5]
[5,1,8,3,7,4,2,6]=>[5,4,7,8,1,3,2,6]
[7,4,8,3,1,5,2,6]=>[3,8,5,7,2,1,4,6]
[5,2,1,7,4,8,3,6]=>[2,5,8,7,1,3,4,6]
[6,1,8,4,5,2,7,3]=>[6,5,7,8,4,1,2,3]
[7,1,6,4,5,2,8,3]=>[7,5,8,6,4,1,2,3]
[3,5,2,7,1,6,8,4]=>[7,5,3,8,2,1,6,4]
[4,5,7,3,1,6,8,2]=>[3,7,8,4,5,2,6,1]
[4,5,7,2,8,6,1,3]=>[6,8,2,4,5,7,1,3]
[3,5,1,7,2,6,8,4]=>[5,7,3,8,1,2,6,4]
[4,5,7,2,8,1,3,6]=>[8,7,1,4,5,3,2,6]
[4,6,7,2,1,5,8,3]=>[2,7,8,4,1,6,5,3]
[4,6,7,1,3,8,5,2]=>[7,5,1,4,8,6,3,2]
[3,6,1,5,7,8,4,2]=>[6,4,3,8,1,5,7,2]
[4,6,7,1,5,8,3,2]=>[7,3,8,4,1,6,5,2]
[6,1,3,7,4,8,5,2]=>[6,5,1,8,7,3,2,4]
[3,2,1,7,4,8,5,6]=>[2,3,1,7,8,5,4,6]
[4,1,5,2,7,6,3,8]=>[4,5,6,1,2,7,3,8]
[2,5,1,3,7,6,4,8]=>[5,2,1,6,3,7,4,8]
[2,5,1,4,3,8,6,7]=>[5,2,4,1,3,8,6,7]
[3,7,2,1,5,8,6,4]=>[2,7,3,6,1,8,5,4]
[6,2,7,1,4,8,5,3]=>[7,6,5,1,8,2,4,3]
[3,7,4,2,1,8,5,6]=>[2,4,3,7,8,5,1,6]
[7,2,5,3,1,8,6,4]=>[3,5,7,6,1,8,2,4]
[7,5,1,4,2,8,6,3]=>[5,4,7,3,6,8,2,1]
[7,5,4,1,3,8,6,2]=>[4,5,1,7,6,8,3,2]
[5,3,2,1,7,6,4,8]=>[2,3,5,6,1,7,4,8]
[6,3,2,8,1,5,7,4]=>[8,3,6,7,1,2,5,4]
[7,4,3,2,8,1,6,5]=>[8,3,4,7,6,1,2,5]
[7,6,2,4,8,3,5,1]=>[5,6,7,3,2,8,4,1]
[7,3,6,4,8,1,5,2]=>[8,5,7,6,1,3,4,2]
[2,7,5,3,8,1,4,6]=>[8,2,5,1,7,4,3,6]
[1,8,5,3,6,4,2,7]=>[1,4,6,5,8,2,3,7]
[8,6,2,3,7,5,4,1]=>[4,5,2,7,6,8,3,1]
[8,6,3,2,7,5,4,1]=>[4,3,5,7,6,8,2,1]
[8,3,2,7,1,6,4,5]=>[7,3,8,6,4,1,2,5]
[7,2,6,1,5,4,3,8]=>[6,7,4,5,1,2,3,8]
[8,5,7,4,3,6,2,1]=>[2,6,4,7,8,3,5,1]
[8,5,7,2,4,6,3,1]=>[3,6,7,1,8,4,5,2]
[8,4,6,7,1,3,2,5]=>[7,3,1,8,2,4,6,5]
[2,8,5,6,1,4,3,7]=>[6,2,4,1,8,5,3,7]
[7,2,6,8,4,1,5,3]=>[4,8,7,5,2,3,6,1]
[7,6,4,8,3,2,5,1]=>[5,3,8,6,2,7,4,1]
[6,5,8,1,4,2,7,3]=>[8,4,7,1,6,5,2,3]
[6,5,8,4,1,3,7,2]=>[4,8,2,7,6,5,3,1]
[5,4,8,3,2,1,7,6]=>[2,3,8,5,4,7,1,6]
[4,3,7,2,1,6,5,8]=>[2,7,4,3,6,1,5,8]
[2,5,8,1,4,3,7,6]=>[8,2,4,1,5,7,3,6]
[3,6,8,2,1,5,7,4]=>[2,8,3,7,1,6,5,4]
[5,7,4,8,1,3,6,2]=>[8,6,1,7,5,3,4,2]
[5,7,1,4,8,2,6,3]=>[7,8,6,1,5,2,4,3]
[2,7,4,1,8,3,6,5]=>[4,2,7,8,6,1,3,5]
[3,5,1,8,4,2,7,6]=>[5,4,3,8,1,7,2,6]
[4,1,5,7,3,6,2,8]=>[4,6,7,1,5,3,2,8]
[4,2,5,8,3,1,7,6]=>[3,8,4,1,5,7,2,6]
[6,1,2,7,8,3,5,4]=>[6,1,8,5,3,2,7,4]
[5,3,1,8,6,4,2,7]=>[3,5,4,6,2,8,1,7]
[3,1,8,4,7,5,2,6]=>[3,5,1,7,8,4,2,6]
[4,2,8,7,3,5,1,6]=>[5,4,7,2,3,1,8,6]
[4,8,1,7,6,2,3,5]=>[8,6,2,4,3,7,1,5]
[6,8,1,4,7,5,2,3]=>[8,5,2,1,7,6,4,3]
[7,3,8,1,6,4,2,5]=>[8,4,6,7,3,1,2,5]
[4,7,8,1,5,3,2,6]=>[8,3,5,4,1,2,7,6]
[7,1,8,6,2,5,3,4]=>[7,6,5,3,2,8,1,4]
[5,8,7,1,3,6,4,2]=>[7,4,1,6,5,3,8,2]
[3,8,7,2,1,6,4,5]=>[2,7,3,6,4,1,8,5]
[2,8,7,1,6,3,5,4]=>[7,2,6,5,3,1,8,4]
[3,7,6,1,5,4,2,8]=>[6,4,3,5,1,7,2,8]
[4,8,7,6,1,3,5,2]=>[6,5,1,4,3,7,8,2]
[5,8,7,2,6,1,4,3]=>[6,7,4,1,5,2,8,3]
[6,8,1,7,5,2,4,3]=>[8,5,4,2,7,6,1,3]
[7,3,8,6,5,1,2,4]=>[5,1,6,2,8,7,3,4]
[5,7,8,4,3,1,2,6]=>[3,1,4,8,5,2,7,6]
[5,8,6,4,3,2,1,7]=>[2,3,4,6,5,8,1,7]
[8,7,3,6,4,2,1,5]=>[2,4,6,7,3,1,8,5]
[6,1,4,2,5,3,7,8]=>[6,4,5,1,2,3,7,8]
[1,3,7,5,4,2,8,6]=>[1,4,3,5,7,8,2,6]
[6,1,3,5,4,2,7,8]=>[6,4,1,5,3,2,7,8]
[6,1,2,5,4,7,3,8]=>[6,1,7,5,2,4,3,8]
[5,1,6,3,4,7,8,2]=>[5,8,6,3,1,4,7,2]
[5,2,6,3,4,7,1,8]=>[7,5,6,3,2,4,1,8]
[3,4,7,5,8,6,1,2]=>[6,1,3,4,8,7,2,5]
[2,4,7,1,5,3,8,6]=>[7,2,5,4,1,8,3,6]
[2,3,6,7,4,8,1,5]=>[8,2,3,7,1,6,4,5]
[1,3,6,7,4,8,5,2]=>[1,5,3,8,7,6,2,4]
[2,7,6,5,3,1,8,4]=>[3,2,5,6,7,8,1,4]
[5,2,6,1,4,7,8,3]=>[6,5,8,1,2,4,7,3]
[4,7,6,5,2,1,8,3]=>[2,5,6,4,7,8,1,3]
[5,3,6,2,4,1,7,8]=>[4,6,5,2,3,1,7,8]
[5,7,4,2,1,3,6,8]=>[2,4,1,7,5,3,6,8]
[6,3,1,5,4,7,8,2]=>[3,6,8,5,2,4,7,1]
[5,3,6,1,4,2,7,8]=>[6,4,5,1,3,2,7,8]
[1,7,4,2,6,3,8,5]=>[1,4,7,6,8,3,2,5]
[5,7,4,1,2,3,6,8]=>[4,1,2,7,5,3,6,8]
[6,4,1,2,5,3,7,8]=>[4,1,6,5,3,2,7,8]
[4,7,6,3,8,5,1,2]=>[5,1,8,4,6,7,2,3]
[3,7,6,5,2,8,1,4]=>[8,5,3,1,6,7,2,4]
[3,7,6,5,1,2,8,4]=>[5,1,3,6,7,8,2,4]
[4,7,2,6,1,3,8,5]=>[6,7,1,4,8,2,3,5]
[2,7,1,6,8,3,5,4]=>[7,2,8,5,3,1,6,4]
[2,7,6,5,8,1,4,3]=>[8,2,4,1,6,7,5,3]
[5,2,8,7,6,4,3,1]=>[3,4,6,5,2,7,8,1]
[8,2,7,6,1,5,4,3]=>[6,7,4,5,2,8,1,3]
[8,4,1,7,6,5,3,2]=>[4,3,8,5,6,7,2,1]
[4,5,6,2,3,8,1,7]=>[8,6,2,4,5,3,1,7]
[4,5,3,2,7,8,1,6]=>[8,3,5,4,2,1,7,6]
[6,5,7,3,8,4,2,1]=>[2,4,8,7,6,5,1,3]
[6,8,7,2,4,3,5,1]=>[5,7,4,2,3,6,8,1]
[3,2,7,4,5,8,1,6]=>[8,3,2,7,4,1,5,6]
[6,8,1,5,2,4,3,7]=>[8,5,4,2,1,6,3,7]
[8,3,4,6,1,5,2,7]=>[6,5,8,3,1,4,2,7]
[2,3,4,7,5,8,1,6]=>[8,2,3,4,7,1,5,6]
[6,3,4,7,8,2,5,1]=>[5,8,6,3,2,4,7,1]
[5,3,7,4,8,6,1,2]=>[6,1,5,8,3,7,2,4]
[8,3,6,4,1,7,2,5]=>[4,6,7,8,3,1,2,5]
[1,3,7,4,8,6,2,5]=>[1,6,3,8,4,7,2,5]
[3,7,8,5,4,1,2,6]=>[4,1,3,5,8,2,7,6]
[5,4,3,1,7,8,2,6]=>[3,4,5,8,1,2,7,6]
[5,7,6,2,8,4,1,3]=>[4,8,2,6,5,7,1,3]
[6,1,7,5,8,3,4,2]=>[6,4,8,3,7,1,5,2]
[7,5,6,4,1,3,8,2]=>[4,6,2,8,7,5,3,1]
[1,5,6,8,4,7,3,2]=>[1,3,7,8,5,6,4,2]
[4,1,3,7,6,5,8,2]=>[4,8,1,3,6,7,5,2]
[3,4,1,7,5,8,6,2]=>[4,6,3,1,8,7,2,5]
[8,5,7,4,3,1,6,2]=>[3,4,7,6,8,1,5,2]
[6,8,5,1,7,2,4,3]=>[5,8,4,1,7,6,2,3]
[8,2,4,1,3,7,6,5]=>[4,8,1,2,6,7,3,5]
[7,8,3,6,2,1,4,5]=>[2,6,8,1,4,3,7,5]
[8,1,7,4,2,3,6,5]=>[8,4,2,7,6,3,1,5]
[1,8,7,2,3,5,6,4]=>[1,7,2,6,3,5,8,4]
[2,8,3,1,6,7,5,4]=>[3,2,8,5,7,1,6,4]
[8,2,3,1,5,7,6,4]=>[3,8,2,6,1,7,5,4]
[3,8,4,1,2,7,6,5]=>[4,1,3,8,6,7,2,5]
[5,4,7,2,3,6,8,1]=>[8,7,2,5,4,3,6,1]
[6,3,2,1,8,4,7,5]=>[2,3,6,8,7,1,4,5]
[2,3,7,4,1,8,5,6]=>[4,2,3,7,8,5,1,6]
[6,4,1,3,2,7,8,5]=>[4,3,1,6,8,2,7,5]
[2,7,8,5,1,3,6,4]=>[5,2,1,8,6,4,7,3]
[8,2,5,6,7,1,3,4]=>[7,8,1,3,2,5,6,4]
[2,8,5,4,7,6,1,3]=>[6,2,1,5,7,8,3,4]
[6,7,1,5,8,2,4,3]=>[7,8,4,2,1,6,5,3]
[4,8,7,6,2,3,5,1]=>[5,6,2,4,3,7,8,1]
[7,8,1,5,3,2,6,4]=>[8,3,5,6,1,2,7,4]
[6,5,7,3,8,2,1,4]=>[2,8,7,1,6,5,3,4]
[8,1,4,7,2,5,6,3]=>[8,7,6,1,2,5,4,3]
[7,3,4,6,1,5,8,2]=>[6,8,7,3,1,4,5,2]
[8,3,4,5,7,1,6,2]=>[7,6,8,3,4,1,5,2]
[4,2,6,8,3,1,5,7]=>[3,8,4,1,2,6,5,7]
[3,7,6,2,4,5,1,8]=>[5,6,3,2,4,7,1,8]
[2,3,6,5,8,1,4,7]=>[8,2,3,1,6,5,4,7]
[2,3,5,8,6,1,4,7]=>[6,2,3,1,5,8,4,7]
[4,2,3,8,6,1,5,7]=>[6,4,2,3,1,8,5,7]
[6,4,1,2,8,3,5,7]=>[4,1,6,8,2,3,5,7]
[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]
[3,2,7,1,4,5,8,6]=>[7,3,2,1,4,8,5,6]
[2,1,5,3,8,7,4,6]=>[2,1,5,7,3,4,8,6]
[5,8,3,2,4,1,6,7]=>[4,3,8,2,5,1,6,7]
[4,2,7,1,8,3,5,6]=>[7,4,8,2,3,5,1,6]
[4,1,8,2,7,3,5,6]=>[4,8,7,1,3,5,2,6]
[1,2,7,5,3,8,4,6]=>[1,2,5,7,8,3,4,6]
[3,2,7,1,4,8,5,6]=>[7,3,2,1,8,5,4,6]
[1,2,3,7,6,8,4,5]=>[1,2,3,8,4,7,6,5]
[1,2,3,6,8,7,4,5]=>[1,2,3,7,4,6,8,5]
[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]
[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]
[1,2,3,7,8,6,4,5]=>[1,2,3,6,4,8,7,5]
[6,2,8,3,7,5,1,4]=>[5,7,6,2,8,3,1,4]
[4,2,8,3,7,5,6,1]=>[6,4,8,2,7,5,3,1]
[7,3,4,8,6,5,1,2]=>[5,1,6,3,8,7,4,2]
[5,3,4,8,7,2,6,1]=>[6,7,5,3,4,2,8,1]
[4,3,5,8,7,2,6,1]=>[6,7,4,3,5,2,8,1]
[4,6,3,8,5,7,2,1]=>[2,7,6,4,8,3,5,1]
[7,5,3,8,6,2,4,1]=>[4,6,5,3,8,7,2,1]
[2,6,8,3,7,4,5,1]=>[5,2,8,7,4,6,3,1]
[1,8,4,3,7,5,6,2]=>[1,6,4,8,7,5,3,2]
[2,5,8,3,7,4,6,1]=>[6,2,8,7,5,4,3,1]
[7,4,3,8,6,2,5,1]=>[5,6,4,8,3,7,2,1]
[3,5,4,8,7,2,6,1]=>[6,7,3,5,4,2,8,1]
[4,5,3,8,6,7,2,1]=>[2,7,5,4,3,8,6,1]
[3,6,7,8,4,5,2,1]=>[2,5,3,8,4,6,7,1]
[2,6,8,5,4,7,3,1]=>[3,2,7,5,8,6,4,1]
[1,8,5,6,4,7,3,2]=>[1,3,7,6,8,5,4,2]
[2,5,8,6,4,7,3,1]=>[3,2,7,6,5,8,4,1]
[7,4,6,5,8,3,2,1]=>[2,3,8,7,6,4,5,1]
[6,3,7,8,4,5,2,1]=>[2,5,6,8,4,3,7,1]
[4,3,7,8,5,6,2,1]=>[2,6,4,3,8,5,7,1]
[5,2,8,6,4,7,3,1]=>[3,7,5,6,1,8,4,2]
[4,2,8,6,5,7,3,1]=>[3,7,4,1,6,8,5,2]
[3,2,8,6,7,4,5,1]=>[5,3,2,7,4,8,6,1]
[2,3,8,7,5,4,6,1]=>[6,2,3,5,7,4,8,1]
[1,8,2,7,4,5,6,3]=>[1,8,6,7,4,5,2,3]
[7,2,8,6,3,4,5,1]=>[5,7,6,3,4,8,2,1]
[6,2,8,4,5,7,3,1]=>[3,7,6,8,4,1,5,2]
[5,2,8,4,6,7,3,1]=>[3,7,5,8,1,4,6,2]
[4,2,8,5,6,7,3,1]=>[3,7,4,1,8,5,6,2]
[4,3,6,8,5,7,2,1]=>[2,7,4,3,8,6,5,1]
[3,4,6,8,7,2,5,1]=>[5,7,3,4,2,6,8,1]
[7,3,5,8,6,2,4,1]=>[4,6,8,3,2,7,5,1]
[1,8,3,5,7,4,6,2]=>[1,6,8,7,3,4,5,2]
[2,7,8,4,5,6,3,1]=>[3,2,6,8,4,5,7,1]
[3,7,5,8,4,6,2,1]=>[2,6,3,8,7,4,5,1]
[5,7,4,6,8,3,2,1]=>[2,3,8,7,5,4,6,1]
[3,6,5,8,4,7,2,1]=>[2,7,3,8,6,5,4,1]
[2,6,8,4,5,7,3,1]=>[3,2,7,8,4,6,5,1]
[4,2,7,1,3,8,5,6]=>[7,4,1,2,8,5,3,6]
[4,2,5,1,3,8,6,7]=>[5,4,1,2,3,8,6,7]
[5,3,6,1,7,2,4,8]=>[6,7,5,2,3,1,4,8]
[3,7,1,2,5,8,6,4]=>[7,1,3,6,2,8,5,4]
[3,7,4,1,2,8,5,6]=>[4,1,3,7,8,5,2,6]
[7,5,1,3,4,8,6,2]=>[5,7,2,3,6,8,4,1]
[7,5,1,2,4,8,6,3]=>[5,1,7,3,6,8,4,2]
[6,4,2,3,7,1,5,8]=>[7,4,2,6,1,3,5,8]
[7,6,3,8,1,2,5,4]=>[8,1,6,5,2,7,3,4]
[7,4,2,3,8,1,6,5]=>[8,4,2,7,6,1,3,5]
[4,7,5,2,8,1,3,6]=>[8,5,1,4,7,3,2,6]
[8,2,6,3,7,1,4,5]=>[7,8,6,1,4,2,3,5]
[8,6,1,2,7,4,5,3]=>[6,1,5,8,2,7,4,3]
[8,4,7,1,2,3,6,5]=>[7,1,2,8,6,3,4,5]
[8,5,7,1,2,4,6,3]=>[7,1,6,2,8,4,5,3]
[8,5,7,1,3,4,6,2]=>[7,6,1,3,8,4,5,2]
[8,6,2,7,1,3,5,4]=>[7,6,1,5,3,8,2,4]
[3,8,5,6,1,2,4,7]=>[6,1,3,2,8,5,4,7]
[3,7,5,8,1,2,4,6]=>[8,1,3,2,7,4,5,6]
[7,6,4,8,1,3,5,2]=>[8,5,1,6,3,7,4,2]
[6,5,8,1,2,4,7,3]=>[8,1,7,2,6,5,4,3]
[3,6,8,1,2,5,7,4]=>[8,1,3,7,2,6,5,4]
[3,7,2,4,8,1,6,5]=>[8,7,3,2,6,1,4,5]
[4,6,3,8,1,2,5,7]=>[8,1,6,4,2,3,5,7]
[4,6,3,7,1,2,5,8]=>[7,1,6,4,2,3,5,8]
[4,1,7,8,2,3,6,5]=>[4,8,2,1,6,3,7,5]
[5,1,2,8,6,3,4,7]=>[5,1,6,3,2,8,4,7]
[5,3,8,1,6,2,4,7]=>[8,6,5,2,3,1,4,7]
[6,1,8,5,2,3,4,7]=>[6,5,2,3,8,1,4,7]
[6,1,7,5,2,3,4,8]=>[6,5,2,3,7,1,4,8]
[6,8,1,3,7,4,5,2]=>[8,5,1,7,4,6,3,2]
[7,2,8,1,6,3,4,5]=>[8,7,6,3,4,1,2,5]
[4,7,8,2,5,1,3,6]=>[5,8,1,4,2,3,7,6]
[6,8,2,7,1,4,5,3]=>[7,8,5,1,4,6,2,3]
[4,8,7,1,3,5,6,2]=>[7,6,1,4,3,5,8,2]
[3,8,7,1,2,4,6,5]=>[7,1,3,2,6,4,8,5]
[4,8,7,1,2,3,6,5]=>[7,1,2,4,6,3,8,5]
[5,8,7,1,2,4,6,3]=>[7,1,6,2,5,4,8,3]
[5,8,7,1,3,4,6,2]=>[7,6,1,3,5,4,8,2]
[7,1,8,6,2,3,5,4]=>[7,6,2,5,3,8,1,4]
[5,8,6,4,1,2,3,7]=>[4,1,2,6,5,8,3,7]
[7,8,4,1,2,5,3,6]=>[4,1,8,5,3,2,7,6]
[7,8,1,2,6,5,3,4]=>[8,1,5,3,6,2,7,4]
[1,4,8,2,7,5,3,6]=>[1,8,5,4,7,3,2,6]
[6,1,3,4,7,2,5,8]=>[6,7,1,3,2,4,5,8]
[7,8,2,1,6,3,5,4]=>[2,8,6,5,3,1,7,4]
[6,1,2,7,5,4,3,8]=>[6,1,4,5,7,2,3,8]
[1,2,8,7,5,4,3,6]=>[1,2,4,5,7,3,8,6]
[5,1,7,3,6,4,8,2]=>[5,8,7,6,1,3,4,2]
[6,2,1,5,7,4,3,8]=>[2,6,4,7,1,5,3,8]
[6,2,3,7,4,1,5,8]=>[4,7,1,6,2,3,5,8]
[3,4,8,7,5,6,1,2]=>[6,1,3,4,7,5,8,2]
[2,3,8,7,4,1,5,6]=>[4,2,3,7,1,5,8,6]
[2,7,3,8,6,4,1,5]=>[4,2,6,8,1,7,3,5]
[1,8,3,7,6,4,5,2]=>[1,5,8,6,4,7,3,2]
[5,2,7,1,4,6,8,3]=>[7,5,8,1,2,4,6,3]
[4,6,7,5,2,1,8,3]=>[2,5,7,4,8,6,3,1]
[6,3,1,4,5,7,8,2]=>[3,6,8,2,4,5,7,1]
[5,3,1,4,6,2,7,8]=>[3,5,6,2,4,1,7,8]
[5,1,2,4,7,6,8,3]=>[5,1,8,2,4,7,6,3]
[5,7,4,1,2,6,3,8]=>[4,1,7,6,5,3,2,8]
[4,8,1,2,6,7,3,5]=>[8,1,7,4,3,2,6,5]
[4,1,7,8,2,6,3,5]=>[4,8,6,1,3,2,7,5]
[1,2,8,7,6,5,3,4]=>[1,2,5,3,6,7,8,4]
[3,1,2,4,6,8,7,5]=>[3,1,2,4,7,6,8,5]
[3,1,8,4,5,7,6,2]=>[3,6,1,7,2,8,5,4]
[3,2,8,5,4,7,1,6]=>[7,3,2,5,8,1,4,6]
[4,2,8,1,5,3,7,6]=>[8,4,5,2,1,7,3,6]
[4,3,8,5,7,6,1,2]=>[6,1,4,3,7,8,2,5]
[4,8,2,1,6,3,7,5]=>[2,8,6,4,7,1,3,5]
[3,8,6,5,2,7,1,4]=>[7,5,3,1,6,8,2,4]
[3,8,5,6,1,7,4,2]=>[6,4,3,7,8,5,1,2]
[3,5,7,8,1,2,6,4]=>[8,1,3,6,5,2,7,4]
[3,7,8,5,2,1,6,4]=>[2,5,3,8,6,4,7,1]
[3,7,2,8,4,1,6,5]=>[4,8,3,7,6,2,1,5]
[2,8,1,7,4,6,5,3]=>[8,2,5,6,7,3,1,4]
[2,8,7,5,1,6,4,3]=>[5,2,4,7,6,3,8,1]
[2,8,6,7,5,1,4,3]=>[5,2,4,1,7,8,6,3]
[5,1,3,4,6,7,2,8]=>[5,7,1,3,4,6,2,8]
[1,3,4,8,7,5,2,6]=>[1,5,3,4,7,2,8,6]
[8,2,4,1,7,3,5,6]=>[4,8,7,2,3,5,1,6]
[8,6,1,4,2,3,7,5]=>[6,4,2,1,8,7,5,3]
[3,6,1,4,2,8,7,5]=>[6,4,3,1,7,2,8,5]
[1,6,8,4,3,7,2,5]=>[1,7,4,8,2,6,3,5]
[3,1,4,7,8,5,2,6]=>[3,5,1,4,8,2,7,6]
[6,1,7,4,3,8,2,5]=>[6,8,4,7,2,1,3,5]
[1,8,7,4,3,6,2,5]=>[1,6,4,7,2,3,8,5]
[7,4,1,3,8,2,6,5]=>[4,7,2,8,6,1,3,5]
[4,8,2,3,1,5,7,6]=>[3,8,2,4,1,7,5,6]
[4,8,6,2,1,3,7,5]=>[2,6,1,4,8,7,5,3]
[2,7,4,1,8,3,5,6]=>[4,2,7,8,1,5,3,6]
[1,7,8,4,2,3,6,5]=>[1,4,2,8,6,3,7,5]
[4,7,1,3,8,2,6,5]=>[7,8,1,4,6,2,3,5]
[8,7,1,3,4,2,6,5]=>[7,4,1,3,6,2,8,5]
[1,7,4,3,6,2,8,5]=>[1,6,4,7,8,3,2,5]
[3,8,6,4,5,2,1,7]=>[2,5,3,6,4,8,1,7]
[3,8,4,6,5,2,1,7]=>[2,5,3,6,8,1,4,7]
[2,4,3,7,5,8,1,6]=>[8,2,4,3,7,1,5,6]
[1,4,7,3,6,2,8,5]=>[1,6,7,4,8,3,2,5]
[1,8,3,4,2,6,7,5]=>[1,4,8,3,7,2,6,5]
[6,4,1,3,7,2,8,5]=>[4,6,2,7,8,3,1,5]
[8,1,4,3,6,2,7,5]=>[8,6,4,1,7,3,2,5]
[4,2,3,8,5,7,1,6]=>[7,4,2,3,8,1,5,6]
[2,8,5,7,3,4,1,6]=>[4,2,7,3,8,1,5,6]
[5,8,2,6,4,3,1,7]=>[3,4,6,8,5,2,1,7]
[7,2,5,8,4,3,1,6]=>[3,4,8,7,2,1,5,6]
[4,2,3,5,8,7,1,6]=>[7,4,2,3,5,1,8,6]
[8,2,3,5,4,7,1,6]=>[7,8,2,5,3,1,4,6]
[6,1,8,3,4,2,7,5]=>[6,4,8,3,7,1,2,5]
[1,8,6,4,2,3,7,5]=>[1,4,2,6,8,7,5,3]
[3,8,4,5,6,2,1,7]=>[2,6,3,8,4,5,1,7]
[2,4,3,5,7,8,1,6]=>[8,2,4,3,5,1,7,6]
[3,8,6,5,4,2,1,7]=>[2,4,3,5,6,8,1,7]
[6,3,1,4,2,8,7,5]=>[3,6,4,2,7,1,8,5]
[7,3,8,1,2,6,4,5]=>[8,1,7,6,4,2,3,5]
[7,1,4,5,3,2,6,8]=>[7,3,5,1,4,2,6,8]
[1,8,4,2,6,5,3,7]=>[1,4,8,5,6,3,2,7]
[5,1,4,8,6,3,2,7]=>[5,3,6,1,4,8,2,7]
[5,3,1,8,4,7,2,6]=>[3,5,7,8,2,1,4,6]
[4,3,8,1,5,7,2,6]=>[8,7,4,3,1,2,5,6]
[6,3,1,2,5,7,4,8]=>[3,1,6,7,2,5,4,8]
[7,1,4,2,6,5,3,8]=>[7,4,5,1,6,2,3,8]
[3,8,4,1,6,5,2,7]=>[4,8,3,5,6,2,1,7]
[7,5,3,6,4,8,2,1]=>[2,8,5,7,6,4,3,1]
[7,3,6,4,5,8,2,1]=>[2,8,7,6,4,3,5,1]
[8,7,2,4,5,1,6,3]=>[5,7,6,2,4,1,8,3]
[7,1,5,4,8,6,3,2]=>[7,3,6,5,1,8,4,2]
[2,7,5,4,8,6,3,1]=>[3,2,6,5,8,7,1,4]
[2,1,8,7,5,3,6,4]=>[2,1,5,7,6,4,8,3]
[5,8,3,7,4,1,6,2]=>[4,7,6,8,5,2,1,3]
[8,1,7,4,2,6,5,3]=>[8,4,7,5,6,3,1,2]
[5,6,3,1,8,4,7,2]=>[3,6,7,8,5,2,4,1]
[5,7,1,4,8,6,3,2]=>[7,3,6,1,5,8,4,2]
[3,5,7,4,8,6,2,1]=>[2,6,3,8,5,7,1,4]
[2,6,7,4,5,8,3,1]=>[3,2,8,7,4,6,5,1]
[6,1,7,4,5,8,3,2]=>[6,3,8,7,4,1,5,2]
[5,3,7,4,8,6,2,1]=>[2,6,5,8,3,7,1,4]
[8,5,3,6,1,4,7,2]=>[6,7,5,1,8,3,4,2]
[5,4,3,6,8,2,7,1]=>[7,8,4,5,3,6,2,1]
[6,5,3,7,4,8,2,1]=>[2,8,5,6,7,4,3,1]
[7,5,8,4,1,6,3,2]=>[4,3,8,6,7,2,5,1]
[2,7,8,4,5,1,6,3]=>[5,2,6,8,4,1,7,3]
[5,7,3,8,4,1,6,2]=>[4,8,6,7,5,2,1,3]
[5,6,3,8,1,4,7,2]=>[8,7,6,1,5,3,4,2]
[8,4,1,2,5,6,7,3]=>[4,1,8,7,3,5,6,2]
[3,7,8,4,1,6,5,2]=>[4,8,3,5,6,2,7,1]
[6,8,3,1,2,5,7,4]=>[3,1,8,7,2,6,5,4]
[8,5,1,7,2,6,4,3]=>[5,8,4,7,6,3,2,1]
[8,7,1,4,5,2,6,3]=>[7,5,6,1,4,2,8,3]
[7,6,3,1,5,2,8,4]=>[3,6,5,7,4,8,1,2]
[7,5,1,8,2,6,3,4]=>[5,7,8,1,6,3,2,4]
[8,7,3,1,5,4,2,6]=>[3,7,4,5,2,1,8,6]
[3,6,2,1,5,4,8,7]=>[2,6,3,5,1,4,8,7]
[5,4,2,6,1,3,8,7]=>[6,4,1,5,2,3,8,7]
[3,2,6,5,1,4,8,7]=>[5,3,2,1,6,4,8,7]
[2,5,8,1,7,4,3,6]=>[8,2,4,7,5,3,1,6]
[6,8,2,7,4,3,1,5]=>[3,4,7,8,1,6,2,5]
[6,8,2,3,7,5,1,4]=>[5,7,1,2,8,6,3,4]
[7,6,2,5,4,8,1,3]=>[8,6,1,5,2,7,4,3]
[2,6,5,1,8,4,3,7]=>[5,2,4,6,8,3,1,7]
[4,2,7,3,1,8,5,6]=>[3,7,4,1,8,5,2,6]
[4,2,3,7,1,5,8,6]=>[7,4,2,3,1,8,5,6]
[5,2,7,3,8,6,1,4]=>[6,5,8,3,2,7,1,4]
[2,1,5,8,4,3,7,6]=>[2,1,4,8,5,7,3,6]
[5,8,4,2,6,7,1,3]=>[7,4,1,8,5,2,6,3]
[3,2,4,8,1,5,7,6]=>[8,3,2,4,1,7,5,6]
[2,4,8,3,1,7,5,6]=>[3,2,8,4,7,5,1,6]
[4,8,3,2,1,7,6,5]=>[2,3,8,4,6,7,1,5]
[4,1,3,7,2,6,8,5]=>[4,7,1,3,8,2,6,5]
[3,4,8,2,1,6,5,7]=>[2,8,3,4,6,1,5,7]
[6,8,3,7,2,1,5,4]=>[2,7,8,5,1,6,3,4]
[3,5,8,1,7,2,6,4]=>[8,7,3,6,5,2,1,4]
[5,1,7,4,6,8,3,2]=>[5,3,8,7,1,4,6,2]
[7,6,4,8,1,5,3,2]=>[8,3,5,6,1,7,4,2]
[5,3,7,1,8,2,6,4]=>[7,8,5,6,3,2,1,4]
[2,7,6,3,8,1,4,5]=>[8,2,6,1,4,7,3,5]
[2,1,7,6,4,8,3,5]=>[2,1,8,6,3,7,4,5]
[2,1,5,4,8,7,3,6]=>[2,1,7,5,4,3,8,6]
[5,4,8,7,2,6,1,3]=>[6,7,1,5,4,2,8,3]
[2,4,3,8,7,1,5,6]=>[7,2,4,3,1,5,8,6]
[3,4,1,8,6,2,7,5]=>[4,6,3,1,8,7,5,2]
[3,8,5,4,2,1,7,6]=>[2,4,3,5,8,7,1,6]
[4,8,6,5,2,7,1,3]=>[7,5,1,4,6,8,2,3]
[3,2,8,7,5,4,1,6]=>[4,3,2,5,7,1,8,6]
[2,8,6,5,4,3,1,7]=>[3,2,4,5,6,8,1,7]
[5,4,2,6,3,1,8,7]=>[3,6,4,5,1,2,8,7]
[6,5,2,1,3,4,8,7]=>[2,5,1,3,6,4,8,7]
[8,5,2,7,3,1,4,6]=>[3,7,5,2,8,4,1,6]
[7,3,6,5,2,8,4,1]=>[4,8,5,6,7,3,1,2]
[7,6,2,3,4,8,5,1]=>[5,8,1,3,6,7,4,2]
[8,7,5,3,1,4,2,6]=>[3,5,4,2,7,1,8,6]
[7,1,5,3,8,4,6,2]=>[7,6,5,8,1,4,3,2]
[6,7,2,3,5,8,4,1]=>[4,8,1,7,3,6,5,2]
[3,7,6,4,2,8,5,1]=>[5,4,3,8,6,7,1,2]
[2,1,7,6,4,8,5,3]=>[2,1,5,8,6,7,3,4]
[2,1,8,7,4,3,5,6]=>[2,1,4,7,3,5,8,6]
[5,8,3,7,2,1,4,6]=>[2,7,8,1,5,4,3,6]
[3,8,7,4,2,1,5,6]=>[2,4,3,7,1,5,8,6]
[7,8,2,3,5,1,4,6]=>[5,8,2,1,3,4,7,6]
[2,8,6,3,1,4,7,5]=>[3,2,6,1,8,7,5,4]
[8,1,6,3,2,4,5,7]=>[8,3,6,2,4,1,5,7]
[5,7,1,4,8,3,6,2]=>[7,6,8,1,5,3,4,2]
[6,1,7,5,4,8,3,2]=>[6,3,8,5,7,1,4,2]
[6,3,7,5,8,4,2,1]=>[2,4,8,6,7,1,5,3]
[7,6,1,5,8,3,4,2]=>[6,4,7,1,3,8,5,2]
[8,6,7,5,1,3,2,4]=>[5,3,1,2,7,8,6,4]
[8,5,2,6,1,7,3,4]=>[6,5,8,2,7,3,1,4]
[5,4,2,6,8,3,7,1]=>[7,4,5,8,3,6,2,1]
[6,5,2,8,1,4,3,7]=>[8,5,4,1,6,2,3,7]
[7,4,2,8,1,3,6,5]=>[8,4,1,7,6,3,2,5]
[2,7,8,4,5,1,3,6]=>[5,2,1,8,4,3,7,6]
[5,7,3,8,4,1,2,6]=>[4,1,8,7,5,3,2,6]
[2,4,8,1,5,6,3,7]=>[8,2,6,4,1,5,3,7]
[3,4,8,1,5,2,7,6]=>[8,5,3,4,1,7,2,6]
[3,6,8,4,1,2,7,5]=>[4,1,3,8,7,6,2,5]
[4,8,1,2,5,3,6,7]=>[8,1,5,4,2,3,6,7]
[8,1,2,4,3,5,6,7]=>[8,1,4,2,3,5,6,7]
[5,8,7,4,6,3,2,1]=>[2,3,6,7,5,4,8,1]
[4,8,7,6,3,5,2,1]=>[2,5,6,4,3,7,8,1]
[3,8,7,6,5,2,4,1]=>[4,5,3,2,6,7,8,1]
[5,8,4,7,6,3,2,1]=>[2,3,6,7,5,8,1,4]
[6,8,5,4,7,3,2,1]=>[2,3,7,5,8,6,4,1]
[3,8,7,6,2,5,4,1]=>[4,5,3,6,1,7,8,2]
[4,8,7,6,3,2,5,1]=>[5,3,6,4,2,7,8,1]
[3,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,4]
[7,5,8,4,6,3,1,2]=>[3,1,6,8,7,4,5,2]
[7,6,8,2,5,1,4,3]=>[5,8,4,1,2,7,6,3]
[3,5,2,4,7,6,1,8]=>[6,5,3,2,4,7,1,8]
[3,5,4,7,2,6,1,8]=>[6,7,3,5,4,2,1,8]
[3,5,4,7,6,1,2,8]=>[6,1,3,5,4,7,2,8]
[3,5,4,7,6,1,8,2]=>[6,7,3,5,4,8,2,1]
[3,5,7,4,6,1,8,2]=>[6,8,3,7,5,4,1,2]
[3,5,7,4,6,1,2,8]=>[6,1,3,7,5,4,2,8]
[3,5,7,4,6,2,1,8]=>[2,6,3,7,5,4,1,8]
[3,2,5,7,4,6,1,8]=>[6,3,2,7,5,4,1,8]
[3,5,2,7,6,4,1,8]=>[4,6,3,5,1,7,2,8]
[3,5,7,2,6,4,1,8]=>[4,6,3,7,5,1,2,8]
[5,3,7,6,2,4,1,8]=>[4,6,5,2,3,7,1,8]
[5,3,7,6,1,2,8,4]=>[6,1,5,7,3,8,4,2]
[5,3,7,6,1,4,2,8]=>[6,4,5,1,3,7,2,8]
[5,3,7,6,4,1,2,8]=>[4,1,6,5,2,7,3,8]
[3,5,7,2,6,1,4,8]=>[6,7,3,1,5,2,4,8]
[3,5,2,7,6,1,4,8]=>[6,5,3,1,2,7,4,8]
[5,3,7,6,4,1,8,2]=>[4,6,7,5,1,8,3,2]
[3,7,5,4,1,8,2,6]=>[4,5,3,7,8,2,1,6]
[3,7,5,4,1,8,6,2]=>[4,5,3,7,6,8,1,2]
[3,7,5,1,4,8,6,2]=>[5,7,3,2,6,8,4,1]
[3,7,5,1,4,8,2,6]=>[5,7,3,2,8,1,4,6]
[3,5,7,1,2,6,8,4]=>[7,1,3,8,5,2,6,4]
[3,5,7,2,1,6,8,4]=>[2,7,3,8,5,1,6,4]
[3,5,2,7,1,6,4,8]=>[7,5,3,6,2,1,4,8]
[3,5,7,2,1,6,4,8]=>[2,7,3,6,5,1,4,8]
[5,3,7,1,6,2,4,8]=>[7,6,5,2,3,1,4,8]
[3,5,7,1,4,6,8,2]=>[7,8,3,1,5,4,6,2]
[3,5,7,1,4,6,2,8]=>[7,6,3,1,5,4,2,8]
[3,5,7,1,4,2,6,8]=>[7,4,3,1,5,2,6,8]
[3,5,7,2,1,4,6,8]=>[2,7,3,1,5,4,6,8]
[3,5,2,7,1,4,6,8]=>[7,5,3,1,2,4,6,8]
[3,2,5,7,4,1,6,8]=>[4,3,2,7,5,1,6,8]
[3,5,2,7,4,1,6,8]=>[4,7,3,5,1,2,6,8]
[3,5,7,4,2,1,6,8]=>[2,4,3,7,5,1,6,8]
[3,5,7,4,1,2,6,8]=>[4,1,3,7,5,2,6,8]
[3,5,4,7,1,6,8,2]=>[7,8,3,5,4,1,6,2]
[3,5,4,7,1,2,6,8]=>[7,1,3,5,4,2,6,8]
[3,5,4,7,2,1,6,8]=>[2,7,3,5,4,1,6,8]
[3,5,4,2,7,1,6,8]=>[7,4,3,5,2,1,6,8]
[3,2,5,4,7,1,6,8]=>[7,3,2,5,4,1,6,8]
[3,5,4,7,2,1,8,6]=>[2,7,3,5,4,8,1,6]
[3,5,4,7,1,2,8,6]=>[7,1,3,5,4,8,2,6]
[5,7,6,3,1,8,4,2]=>[3,6,4,7,5,8,1,2]
[5,7,6,3,1,8,2,4]=>[3,6,7,2,5,8,1,4]
[3,5,7,4,1,2,8,6]=>[4,1,3,7,5,8,2,6]
[3,5,7,4,2,1,8,6]=>[2,4,3,7,5,8,1,6]
[3,2,5,7,4,1,8,6]=>[4,3,2,7,5,8,1,6]
[3,2,5,7,1,4,8,6]=>[7,3,2,1,5,8,4,6]
[3,5,2,7,1,4,8,6]=>[7,5,3,1,2,8,4,6]
[3,5,7,2,1,4,8,6]=>[2,7,3,1,5,8,4,6]
[3,5,7,1,4,2,8,6]=>[7,4,3,1,5,8,2,6]
[3,7,5,2,1,8,6,4]=>[2,5,3,7,6,8,4,1]
[3,7,2,5,1,8,6,4]=>[5,7,3,6,2,8,1,4]
[3,2,7,5,1,8,6,4]=>[5,3,2,7,6,8,4,1]
[3,2,7,5,1,8,4,6]=>[5,3,2,7,8,1,4,6]
[3,7,2,5,1,8,4,6]=>[5,7,3,8,2,4,1,6]
[3,7,5,2,1,8,4,6]=>[2,5,3,7,8,1,4,6]
[6,1,2,5,7,4,8,3]=>[6,1,8,7,2,5,4,3]
[6,3,2,7,4,1,8,5]=>[4,3,7,6,8,1,2,5]
[2,1,7,5,8,4,6,3]=>[2,1,6,8,7,4,5,3]
[2,7,3,6,8,4,1,5]=>[4,2,8,7,3,1,6,5]
[2,1,8,3,4,7,5,6]=>[2,1,8,3,7,5,4,6]
[5,1,7,2,4,8,3,6]=>[5,7,8,2,1,3,4,6]
[3,4,2,6,7,1,8,5]=>[7,4,3,2,8,6,1,5]
[3,5,8,7,2,1,6,4]=>[2,7,3,6,5,1,8,4]
[5,8,3,4,1,7,6,2]=>[4,6,7,2,5,8,1,3]
[5,8,7,2,4,1,6,3]=>[4,7,6,2,5,1,8,3]
[3,8,6,4,1,7,5,2]=>[4,6,3,5,8,7,1,2]
[4,3,5,6,8,1,7,2]=>[8,7,4,3,5,6,1,2]
[3,7,6,4,1,8,5,2]=>[4,6,3,5,7,8,1,2]
[3,7,4,1,8,6,5,2]=>[4,7,3,5,6,8,2,1]
[3,8,4,1,7,6,5,2]=>[4,8,3,5,6,7,2,1]
[3,2,7,6,1,5,4,8]=>[6,3,2,5,1,7,4,8]
[3,2,8,7,6,1,5,4]=>[6,3,2,5,1,7,8,4]
[5,7,8,2,4,1,6,3]=>[4,8,6,2,5,1,7,3]
[4,2,5,8,1,6,7,3]=>[8,4,7,2,5,1,6,3]
[4,2,5,8,1,7,3,6]=>[8,4,7,2,5,3,1,6]
[5,8,2,4,1,6,3,7]=>[4,8,6,2,5,1,3,7]
[8,4,2,6,5,1,3,7]=>[5,4,2,6,8,1,3,7]
[3,2,6,8,1,5,4,7]=>[8,3,2,5,1,6,4,7]
[8,3,2,5,6,1,4,7]=>[6,3,8,1,2,5,4,7]
[3,2,8,6,7,1,5,4]=>[7,3,2,5,1,8,6,4]
[3,2,6,8,7,1,5,4]=>[7,3,2,5,1,6,8,4]
[3,2,6,7,1,5,4,8]=>[7,3,2,5,1,6,4,8]
[8,7,3,2,5,6,1,4]=>[6,3,7,1,2,5,8,4]
[7,2,8,1,5,3,6,4]=>[8,7,5,6,1,3,2,4]
[8,4,2,7,5,1,3,6]=>[5,4,2,7,8,3,1,6]
[7,4,2,8,5,1,3,6]=>[5,4,2,8,7,3,1,6]
[7,2,4,1,8,3,6,5]=>[4,7,8,2,6,3,1,5]
[3,2,8,5,7,1,4,6]=>[7,3,2,1,8,4,5,6]
[2,6,5,7,1,8,3,4]=>[7,2,8,3,6,5,1,4]
[2,5,1,8,7,4,3,6]=>[5,2,4,7,1,3,8,6]
[8,1,4,6,3,5,2,7]=>[8,5,6,1,3,4,2,7]
[8,3,5,4,1,6,2,7]=>[4,5,6,8,1,2,3,7]
[8,6,3,4,1,5,2,7]=>[4,5,6,3,1,8,2,7]
[5,4,7,6,8,2,3,1]=>[3,8,2,5,4,7,6,1]
[4,1,8,2,3,7,6,5]=>[4,8,2,1,6,7,3,5]
[2,1,8,5,3,4,7,6]=>[2,1,5,3,8,7,4,6]
[5,2,4,6,8,7,3,1]=>[3,7,5,1,4,6,8,2]
[1,6,8,3,4,5,7,2]=>[1,7,8,3,4,6,5,2]
[5,7,4,8,6,1,3,2]=>[6,3,1,8,5,7,2,4]
[5,4,2,6,7,8,1,3]=>[8,4,1,5,2,6,7,3]
[6,4,2,7,3,5,8,1]=>[8,4,6,7,2,3,5,1]
[7,4,1,8,3,5,6,2]=>[4,7,6,8,1,5,2,3]
[6,5,4,8,7,3,1,2]=>[3,1,7,5,6,4,8,2]
[8,7,4,2,1,3,6,5]=>[2,4,1,7,6,3,8,5]
[8,7,1,3,2,5,6,4]=>[7,3,1,6,2,5,8,4]
[6,8,2,3,1,7,5,4]=>[3,8,2,5,7,6,1,4]
[7,4,3,2,6,8,5,1]=>[5,3,4,8,7,1,6,2]
[2,7,4,3,8,5,6,1]=>[6,2,4,7,8,5,3,1]
[8,3,7,2,1,5,6,4]=>[2,7,8,6,1,5,3,4]
[5,7,8,2,4,3,1,6]=>[3,4,8,1,5,2,7,6]
[8,4,7,3,2,6,1,5]=>[6,3,7,8,1,2,4,5]
[8,3,1,6,7,4,2,5]=>[3,8,4,7,1,2,6,5]
[3,2,5,7,4,8,1,6]=>[8,3,2,7,5,1,4,6]
[8,2,7,3,4,1,5,6]=>[4,8,7,3,1,5,2,6]
[7,1,6,3,5,8,2,4]=>[7,8,6,2,3,1,5,4]
[2,8,5,6,7,1,4,3]=>[7,2,4,1,8,5,6,3]
[1,5,2,7,8,6,4,3]=>[1,5,4,6,2,8,7,3]
[2,6,8,5,1,4,7,3]=>[5,2,8,3,7,6,4,1]
[1,4,2,8,6,5,7,3]=>[1,4,7,2,6,8,5,3]
[3,5,1,6,8,7,2,4]=>[5,7,3,2,1,6,8,4]
[5,7,6,2,1,3,8,4]=>[2,6,1,7,5,8,4,3]
[2,5,8,7,4,1,6,3]=>[4,2,7,6,5,3,8,1]
[4,1,7,5,2,6,8,3]=>[4,5,7,1,8,3,6,2]
[7,6,2,4,5,1,8,3]=>[5,6,7,3,4,8,1,2]
[7,3,4,2,5,8,6,1]=>[6,4,8,1,2,7,5,3]
[8,7,4,2,5,1,6,3]=>[5,4,7,6,3,1,8,2]
[8,1,4,5,2,6,7,3]=>[8,5,7,1,4,2,6,3]
[5,2,4,8,6,7,1,3]=>[7,5,1,2,4,8,6,3]
[8,5,6,2,1,3,7,4]=>[2,6,1,7,8,5,3,4]
[4,2,1,5,6,7,8,3]=>[2,4,8,1,5,6,7,3]
[3,4,6,5,1,7,8,2]=>[5,6,3,4,8,2,7,1]
[7,3,5,2,4,6,1,8]=>[6,5,7,2,3,4,1,8]
[5,3,7,2,4,6,1,8]=>[6,7,5,2,3,4,1,8]
[3,7,5,2,4,6,1,8]=>[6,5,3,2,7,4,1,8]
[5,7,3,2,4,6,1,8]=>[6,3,7,2,5,4,1,8]
[1,5,3,2,4,7,6,8]=>[1,3,5,2,4,7,6,8]
[1,5,3,2,7,4,6,8]=>[1,3,5,7,2,4,6,8]
[5,7,3,2,1,4,6,8]=>[2,3,7,1,5,4,6,8]
[5,7,3,2,4,1,6,8]=>[4,3,7,2,5,1,6,8]
[3,7,2,5,4,1,6,8]=>[4,5,3,7,1,2,6,8]
[5,1,3,2,4,7,6,8]=>[5,3,1,2,4,7,6,8]
[5,1,3,2,7,4,6,8]=>[5,3,1,7,2,4,6,8]
[7,1,3,2,5,4,6,8]=>[7,3,1,5,2,4,6,8]
[1,7,3,2,5,4,6,8]=>[1,3,7,5,2,4,6,8]
[7,1,3,5,2,4,6,8]=>[7,5,1,2,3,4,6,8]
[5,1,3,7,2,4,6,8]=>[5,7,1,2,3,4,6,8]
[3,2,7,5,1,4,6,8]=>[5,3,2,1,7,4,6,8]
[3,7,5,1,2,4,6,8]=>[5,1,3,2,7,4,6,8]
[5,7,3,1,2,4,6,8]=>[3,1,7,2,5,4,6,8]
[1,5,3,7,2,4,6,8]=>[1,7,5,2,3,4,6,8]
[5,3,2,7,4,1,6,8]=>[4,3,7,5,1,2,6,8]
[5,3,2,4,7,1,6,8]=>[7,3,5,2,4,1,6,8]
[5,3,2,1,4,7,6,8]=>[2,3,5,1,4,7,6,8]
[5,3,2,1,7,4,6,8]=>[2,3,5,7,1,4,6,8]
[1,3,2,7,5,4,6,8]=>[1,3,2,5,7,4,6,8]
[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]
[7,3,1,2,5,4,6,8]=>[3,1,7,5,2,4,6,8]
[5,3,1,2,7,4,6,8]=>[3,1,5,7,2,4,6,8]
[5,3,1,2,4,7,6,8]=>[3,1,5,2,4,7,6,8]
[3,2,5,1,4,7,6,8]=>[5,3,2,1,4,7,6,8]
[7,3,1,5,2,4,6,8]=>[3,7,5,1,2,4,6,8]
[1,3,7,5,2,4,6,8]=>[1,5,3,2,7,4,6,8]
[7,5,1,3,2,4,6,8]=>[5,3,1,2,7,4,6,8]
[5,7,1,3,2,4,6,8]=>[7,3,1,2,5,4,6,8]
[3,7,1,5,2,4,6,8]=>[7,5,3,2,1,4,6,8]
[3,7,1,2,5,4,6,8]=>[7,1,3,5,2,4,6,8]
[3,7,2,1,5,4,6,8]=>[2,7,3,5,1,4,6,8]
[3,2,1,7,5,4,6,8]=>[2,3,1,5,7,4,6,8]
[3,1,2,7,5,4,6,8]=>[3,1,2,5,7,4,6,8]
[3,1,7,2,5,4,6,8]=>[3,7,1,5,2,4,6,8]
[3,1,7,5,2,4,6,8]=>[3,5,1,2,7,4,6,8]
[7,1,5,3,2,4,6,8]=>[7,3,5,2,1,4,6,8]
[1,7,5,3,2,4,6,8]=>[1,3,5,2,7,4,6,8]
[1,8,7,4,2,6,5,3]=>[1,4,7,5,6,3,8,2]
[2,8,5,1,7,6,4,3]=>[5,2,4,8,6,7,3,1]
[6,8,5,1,2,7,4,3]=>[5,1,4,8,7,6,3,2]
[2,8,1,4,7,6,5,3]=>[8,2,5,1,6,7,4,3]
[1,8,7,4,3,2,6,5]=>[1,3,4,7,6,2,8,5]
[1,8,5,4,2,7,6,3]=>[1,4,5,8,6,7,2,3]
[7,5,3,4,2,8,1,6]=>[8,4,5,3,7,1,2,6]
[8,5,3,6,2,4,7,1]=>[7,6,5,2,8,3,4,1]
[8,5,6,3,7,4,2,1]=>[2,4,7,6,8,5,1,3]
[8,5,6,2,7,4,3,1]=>[3,4,7,6,8,5,2,1]
[8,7,6,3,4,1,5,2]=>[4,5,6,3,1,7,8,2]
[1,7,2,3,6,8,5,4]=>[1,7,2,5,8,3,6,4]
[3,5,6,4,8,2,7,1]=>[7,8,3,6,5,4,2,1]
[3,5,1,4,8,2,7,6]=>[5,8,3,1,4,7,2,6]
[1,7,5,4,8,2,6,3]=>[1,8,6,5,7,2,4,3]
[3,7,5,1,6,4,8,2]=>[5,7,3,8,6,2,1,4]
[2,7,5,4,8,1,3,6]=>[8,2,1,5,7,3,4,6]
[2,7,5,4,8,6,1,3]=>[6,2,1,5,8,7,3,4]
[1,7,5,4,8,6,3,2]=>[1,3,6,5,8,7,2,4]
[2,5,1,4,8,7,3,6]=>[5,2,7,1,4,3,8,6]
[3,6,4,2,8,7,1,5]=>[7,4,3,6,1,2,8,5]
[3,5,2,4,8,1,6,7]=>[8,5,3,2,4,1,6,7]
[3,5,6,4,8,1,2,7]=>[8,1,3,6,5,4,2,7]
[1,5,6,4,8,7,2,3]=>[1,7,2,6,5,4,8,3]
[3,6,4,1,8,7,2,5]=>[4,6,3,7,1,2,8,5]
[3,6,4,5,8,7,2,1]=>[2,7,3,6,4,5,8,1]
[1,6,4,3,8,5,2,7]=>[1,5,4,8,6,2,3,7]
[7,1,3,4,5,8,2,6]=>[7,8,1,3,4,2,5,6]
[7,6,1,4,5,3,8,2]=>[6,7,5,2,4,8,3,1]
[7,6,1,3,5,4,8,2]=>[6,7,2,5,3,8,4,1]
[7,1,3,2,5,8,4,6]=>[7,3,1,8,2,4,5,6]
[1,6,4,2,8,5,3,7]=>[1,4,6,5,8,3,2,7]
[7,6,5,8,2,4,3,1]=>[3,4,8,1,6,7,5,2]
[7,6,5,8,3,1,4,2]=>[3,8,4,2,6,7,5,1]
[2,6,4,3,8,1,7,5]=>[8,2,4,6,7,3,1,5]
[2,6,4,3,8,5,7,1]=>[7,2,4,6,8,3,5,1]
[7,2,3,1,5,8,6,4]=>[3,7,2,6,1,8,5,4]
[7,1,5,6,3,8,4,2]=>[7,4,8,6,1,5,2,3]
[7,3,6,5,1,4,8,2]=>[5,6,8,2,7,1,4,3]
[7,2,6,5,3,8,1,4]=>[8,7,5,1,6,2,3,4]
[7,2,3,1,4,8,6,5]=>[3,7,2,1,6,8,4,5]
[7,2,3,5,4,8,6,1]=>[6,8,1,5,3,7,4,2]
[2,6,4,5,8,1,7,3]=>[8,2,7,6,4,5,1,3]
[1,5,6,4,8,3,7,2]=>[1,7,8,6,5,4,3,2]
[2,5,6,4,8,3,1,7]=>[3,2,8,6,5,4,1,7]
[3,5,6,1,4,7,8,2]=>[6,8,3,1,5,4,7,2]
[7,6,1,3,4,5,8,2]=>[6,7,2,3,4,8,5,1]
[7,1,3,2,4,8,5,6]=>[7,3,1,2,8,5,4,6]
[7,6,1,5,3,4,8,2]=>[6,7,5,3,2,8,4,1]
[7,6,1,5,4,3,8,2]=>[6,7,4,5,2,8,3,1]
[1,6,4,5,8,3,2,7]=>[1,3,8,6,4,5,2,7]
[7,6,5,8,1,3,2,4]=>[8,3,1,2,6,7,5,4]
[3,4,6,8,7,2,1,5]=>[2,7,3,4,1,6,8,5]
[3,5,6,8,2,1,7,4]=>[2,8,3,7,5,6,1,4]
[4,2,1,5,3,7,8,6]=>[2,4,5,1,3,8,7,6]
[4,2,5,6,3,1,8,7]=>[3,6,4,1,5,2,8,7]
[3,5,6,8,1,7,2,4]=>[8,7,3,2,5,6,1,4]
[4,1,5,6,3,2,8,7]=>[4,3,6,1,5,2,8,7]
[4,5,3,1,7,2,8,6]=>[3,5,7,4,2,8,1,6]
[4,1,3,5,2,7,8,6]=>[4,5,1,3,2,8,7,6]
[2,5,4,7,3,8,6,1]=>[6,2,8,5,4,7,1,3]
[3,5,7,1,8,4,2,6]=>[7,4,3,8,5,2,1,6]
[4,1,5,3,2,7,8,6]=>[4,3,5,1,2,8,7,6]
[4,5,3,7,1,2,8,6]=>[7,1,5,4,3,8,2,6]
[4,3,6,1,2,7,5,8]=>[6,1,4,3,7,2,5,8]
[5,1,3,2,4,6,7,8]=>[5,3,1,2,4,6,7,8]
[3,6,1,7,4,5,2,8]=>[6,5,3,7,4,1,2,8]
[5,1,3,4,2,6,7,8]=>[5,4,1,3,2,6,7,8]
[5,3,1,4,2,6,7,8]=>[3,5,4,2,1,6,7,8]
[4,5,2,3,7,1,8,6]=>[7,5,2,4,3,8,1,6]
[4,2,6,1,3,7,5,8]=>[6,4,1,2,7,3,5,8]
[4,6,2,1,3,7,5,8]=>[2,6,1,4,7,3,5,8]
[3,6,2,1,7,4,8,5]=>[2,6,3,7,8,1,4,5]
[3,1,4,7,6,5,2,8]=>[3,5,1,4,6,7,2,8]
[3,6,2,7,1,5,8,4]=>[7,6,3,8,1,2,5,4]
[4,6,2,7,1,3,5,8]=>[7,6,1,4,3,2,5,8]
[3,5,7,1,8,2,6,4]=>[7,8,3,6,5,2,1,4]
[5,1,4,2,3,6,7,8]=>[5,4,2,1,3,6,7,8]
[3,6,1,7,2,5,8,4]=>[6,7,3,8,2,1,5,4]
[2,6,5,3,4,7,8,1]=>[8,2,5,3,6,4,7,1]
[3,6,1,7,5,4,2,8]=>[6,4,3,5,7,1,2,8]
[5,1,4,3,2,6,7,8]=>[5,3,4,1,2,6,7,8]
[5,4,1,3,2,6,7,8]=>[4,3,1,5,2,6,7,8]
[6,4,2,5,3,8,1,7]=>[8,4,6,5,3,2,1,7]
[4,6,2,3,5,1,8,7]=>[5,6,2,4,3,1,8,7]
[6,2,4,5,1,8,3,7]=>[5,6,8,2,4,1,3,7]
[8,2,6,7,1,4,5,3]=>[7,8,5,1,4,2,6,3]
[8,2,6,7,4,1,5,3]=>[4,7,8,5,2,3,6,1]
[4,6,2,3,5,8,1,7]=>[8,6,2,4,3,5,1,7]
[2,6,4,1,5,8,3,7]=>[4,2,6,8,3,5,1,7]
[2,8,1,6,7,4,5,3]=>[8,2,5,7,4,1,6,3]
[6,8,4,5,7,2,3,1]=>[3,7,2,8,4,6,5,1]
[2,8,6,1,4,7,5,3]=>[6,2,5,3,8,7,4,1]
[2,8,1,6,4,7,5,3]=>[8,2,5,7,6,1,3,4]
[2,6,1,4,8,5,3,7]=>[6,2,5,1,8,4,3,7]
[6,4,5,2,8,3,1,7]=>[3,8,5,6,4,1,2,7]
[4,2,3,6,1,8,5,7]=>[6,4,2,3,8,1,5,7]
[4,2,3,1,6,8,5,7]=>[3,4,2,1,8,6,5,7]
[4,2,3,8,6,1,7,5]=>[6,4,2,3,8,7,5,1]
[6,4,5,8,2,3,7,1]=>[7,8,2,6,4,5,3,1]
[8,6,7,2,4,5,1,3]=>[5,7,1,2,4,8,6,3]
[6,4,8,5,2,3,7,1]=>[7,5,2,8,6,3,4,1]
[4,2,8,3,1,6,7,5]=>[3,8,4,1,7,2,6,5]
[2,4,8,1,3,6,7,5]=>[8,2,1,4,7,3,6,5]
[2,4,1,8,3,6,7,5]=>[4,2,8,1,7,3,6,5]
[2,1,4,8,6,3,7,5]=>[2,1,6,4,8,7,5,3]
[6,4,8,2,5,3,7,1]=>[7,8,5,6,2,4,3,1]
[8,6,2,4,7,5,1,3]=>[5,7,2,1,6,8,4,3]
[4,6,8,2,3,5,7,1]=>[7,8,2,4,3,6,5,1]
[2,6,8,4,1,5,7,3]=>[4,2,8,7,3,6,5,1]
[2,6,8,1,4,5,7,3]=>[8,2,7,1,4,6,5,3]
[2,1,6,8,4,5,7,3]=>[2,1,7,8,4,6,5,3]
[2,8,1,4,6,7,3,5]=>[8,2,7,1,3,4,6,5]
[4,8,6,2,3,7,5,1]=>[5,7,1,4,6,8,3,2]
[8,4,2,6,7,3,1,5]=>[3,7,4,8,2,1,6,5]
[7,6,4,5,1,3,8,2]=>[5,8,1,6,4,7,3,2]
[1,6,7,5,3,4,8,2]=>[1,8,5,3,7,6,4,2]
[7,6,2,3,8,4,1,5]=>[4,8,1,6,2,7,3,5]
[1,6,7,5,8,2,3,4]=>[1,8,2,3,7,6,5,4]
[6,2,5,8,3,4,7,1]=>[7,6,8,3,2,5,4,1]
[6,2,3,8,7,4,1,5]=>[4,7,1,6,2,3,8,5]
[2,4,7,3,5,8,6,1]=>[6,2,8,4,1,7,5,3]
[2,5,3,7,1,8,4,6]=>[7,2,5,8,3,4,1,6]
[5,2,8,3,1,4,6,7]=>[3,8,5,2,1,4,6,7]
[4,8,2,3,6,5,7,1]=>[7,8,2,4,6,3,5,1]
[5,8,1,3,6,4,7,2]=>[8,7,1,6,5,3,4,2]
[5,8,1,4,3,6,2,7]=>[8,6,4,1,5,3,2,7]
[5,8,4,1,3,7,6,2]=>[4,8,2,6,5,7,3,1]
[6,4,5,3,8,1,7,2]=>[8,7,5,6,4,3,1,2]
[4,6,5,3,7,1,2,8]=>[7,1,5,4,6,3,2,8]
[4,5,1,3,6,2,8,7]=>[5,6,1,4,3,2,8,7]
[4,2,6,5,1,7,3,8]=>[5,4,6,2,7,3,1,8]
[4,3,5,7,2,1,6,8]=>[2,7,4,3,5,1,6,8]
[3,4,7,6,8,1,2,5]=>[8,1,3,4,2,7,6,5]
[3,4,6,2,5,8,7,1]=>[7,6,3,4,2,5,8,1]
[3,5,2,4,6,1,8,7]=>[6,5,3,2,4,1,8,7]
[4,2,5,1,6,8,3,7]=>[5,4,8,2,1,6,3,7]
[1,8,2,3,6,5,7,4]=>[1,8,2,7,6,3,5,4]
[4,2,8,3,5,7,1,6]=>[7,4,8,2,3,1,5,6]
[4,3,8,6,5,7,1,2]=>[7,1,4,3,6,8,5,2]
[1,3,7,2,6,5,8,4]=>[1,7,3,8,6,2,5,4]
[1,3,6,4,2,5,8,7]=>[1,4,3,6,2,5,8,7]
[1,5,4,7,3,6,8,2]=>[1,8,7,5,4,3,6,2]
[5,2,3,8,4,1,7,6]=>[4,8,1,5,3,7,2,6]
[7,5,3,4,8,2,1,6]=>[2,8,5,3,7,1,4,6]
[7,2,8,3,4,1,5,6]=>[4,7,8,3,1,5,2,6]
[7,4,3,8,5,2,6,1]=>[6,5,4,8,7,3,2,1]
[4,6,2,7,3,1,5,8]=>[3,7,6,4,2,1,5,8]
[7,6,3,8,2,4,5,1]=>[5,8,6,2,4,7,3,1]
[7,2,8,5,1,3,4,6]=>[5,8,2,3,7,4,1,6]
[1,5,3,7,6,8,4,2]=>[1,4,8,5,2,7,6,3]
[1,6,3,7,8,2,4,5]=>[1,8,6,2,4,3,7,5]
[1,4,3,7,8,5,2,6]=>[1,5,4,3,8,2,7,6]
[4,2,6,5,7,8,3,1]=>[3,8,4,1,6,5,7,2]
[4,2,6,7,5,8,1,3]=>[8,4,1,2,7,6,5,3]
[3,2,4,7,8,5,1,6]=>[5,3,2,4,8,1,7,6]
[3,2,6,7,8,1,4,5]=>[8,3,2,1,4,6,7,5]
[5,1,8,3,6,4,7,2]=>[5,7,8,6,1,3,4,2]
[3,6,8,5,7,2,1,4]=>[2,7,3,1,8,6,5,4]
[5,1,3,8,7,6,4,2]=>[5,4,1,6,3,7,8,2]
[3,8,5,6,1,7,2,4]=>[6,7,3,2,8,5,1,4]
[3,4,8,1,7,6,2,5]=>[8,6,3,4,2,7,1,5]
[4,7,6,8,5,1,3,2]=>[5,3,1,4,8,7,6,2]
[6,7,4,8,5,1,3,2]=>[5,3,1,8,7,6,2,4]
[5,3,6,8,7,1,4,2]=>[7,4,5,1,3,6,8,2]
[1,8,4,6,7,2,5,3]=>[1,7,5,8,2,4,6,3]
[5,2,8,3,7,1,6,4]=>[7,5,8,6,2,1,3,4]
[7,4,5,8,6,1,3,2]=>[6,3,1,8,2,7,5,4]
[4,3,6,8,7,1,5,2]=>[7,5,4,3,1,6,8,2]
[6,4,8,3,1,7,5,2]=>[3,8,5,7,6,1,2,4]
[3,6,5,8,7,1,4,2]=>[7,4,3,1,6,5,8,2]
[5,7,4,8,2,6,3,1]=>[3,6,8,7,5,1,4,2]
[5,6,4,8,2,7,3,1]=>[3,7,8,6,5,4,1,2]
[5,6,8,3,1,7,4,2]=>[3,8,4,7,5,6,2,1]
[4,6,3,8,2,7,5,1]=>[5,7,8,4,6,1,3,2]
[5,3,8,1,7,2,6,4]=>[8,7,5,6,3,2,1,4]
[6,5,8,1,3,7,4,2]=>[8,4,1,7,6,5,3,2]
[6,5,3,8,2,7,4,1]=>[4,7,8,5,6,1,3,2]
[6,4,8,1,3,7,5,2]=>[8,5,1,7,6,2,3,4]
[6,2,8,3,4,7,5,1]=>[5,7,6,1,8,3,4,2]
[7,6,3,1,4,2,5,8]=>[3,6,4,2,1,7,5,8]
[1,5,4,3,7,8,2,6]=>[1,8,4,5,3,2,7,6]
[7,8,4,2,5,3,1,6]=>[3,5,4,8,1,2,7,6]
[4,2,7,8,5,3,1,6]=>[3,5,4,1,8,2,7,6]
[4,2,5,3,1,7,8,6]=>[3,5,4,1,2,8,7,6]
[4,2,8,7,6,3,1,5]=>[3,6,4,1,2,7,8,5]
[4,2,7,6,3,1,5,8]=>[3,6,4,1,2,7,5,8]
[6,3,1,7,5,2,4,8]=>[3,6,5,1,7,2,4,8]
[6,3,1,8,7,5,2,4]=>[3,6,5,1,7,2,8,4]
[8,6,3,1,7,5,2,4]=>[3,6,5,2,8,7,1,4]
[4,2,7,6,3,1,8,5]=>[3,6,4,1,7,8,5,2]
[7,6,3,1,8,4,2,5]=>[3,6,4,7,2,8,1,5]
[7,6,4,2,1,8,3,5]=>[2,4,6,7,3,8,1,5]
[1,8,2,7,6,4,3,5]=>[1,8,4,6,3,7,2,5]
[8,3,5,7,6,4,2,1]=>[2,4,6,7,3,8,5,1]
[8,4,2,5,7,6,3,1]=>[3,6,4,7,2,8,5,1]
[7,5,2,4,8,6,3,1]=>[3,6,5,2,8,7,4,1]
[8,7,5,2,4,6,3,1]=>[3,6,5,1,7,4,8,2]
[7,5,2,4,6,3,1,8]=>[3,6,5,1,7,4,2,8]
[5,2,8,6,3,7,4,1]=>[4,7,5,6,3,8,1,2]
[8,4,7,5,2,6,3,1]=>[3,6,5,7,8,4,1,2]
[8,3,6,4,7,5,2,1]=>[2,5,7,8,6,4,1,3]
[1,8,2,7,5,3,6,4]=>[1,8,5,7,6,4,2,3]
[7,5,2,1,8,3,6,4]=>[2,5,7,8,6,4,3,1]
[7,5,2,6,3,1,8,4]=>[3,6,5,7,8,4,2,1]
[5,2,7,4,1,8,6,3]=>[4,7,5,6,3,8,2,1]
[5,2,8,7,4,1,6,3]=>[4,7,5,6,3,2,8,1]
[8,7,4,1,5,2,6,3]=>[4,7,5,6,2,3,8,1]
[7,4,1,5,2,8,6,3]=>[4,7,5,6,2,8,3,1]
[7,6,3,1,4,2,8,5]=>[3,6,4,2,7,8,5,1]
[7,5,2,8,6,3,1,4]=>[3,6,5,1,8,7,2,4]
[8,7,5,2,6,3,1,4]=>[3,6,5,2,7,1,8,4]
[7,5,2,1,3,6,4,8]=>[2,5,1,7,6,4,3,8]
[8,7,5,2,1,3,6,4]=>[2,5,1,7,6,4,8,3]
[7,5,2,1,3,8,6,4]=>[2,5,1,7,6,8,4,3]
[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]
[8,6,4,7,5,2,1,3]=>[2,5,1,7,6,8,3,4]
[6,4,8,7,5,2,1,3]=>[2,5,1,7,6,3,8,4]
[6,4,7,5,2,1,3,8]=>[2,5,1,7,6,3,4,8]
[6,3,1,4,7,5,2,8]=>[3,6,5,2,7,4,1,8]
[6,3,1,4,8,7,5,2]=>[3,6,5,2,7,4,8,1]
[8,6,3,1,4,7,5,2]=>[3,6,5,1,8,7,4,2]
[8,5,7,6,3,1,4,2]=>[3,6,4,2,7,8,1,5]
[1,8,2,5,7,6,4,3]=>[1,8,4,6,2,7,5,3]
[1,8,2,6,4,7,5,3]=>[1,8,5,7,6,2,3,4]
[7,5,2,1,6,4,8,3]=>[2,5,7,8,6,3,1,4]
[6,3,8,7,4,1,5,2]=>[4,7,5,6,2,1,8,3]
[6,3,7,4,1,5,2,8]=>[4,7,5,6,2,1,3,8]
[7,4,1,6,3,5,2,8]=>[4,7,5,6,1,2,3,8]
[7,4,1,8,6,3,5,2]=>[4,7,5,6,1,8,2,3]
[8,4,6,3,1,7,5,2]=>[3,6,5,7,8,1,2,4]
[6,4,7,5,2,1,8,3]=>[2,5,7,8,6,1,3,4]
[1,6,4,7,5,3,8,2]=>[1,8,5,7,6,3,4,2]
[8,6,3,5,2,7,4,1]=>[4,7,5,6,1,8,3,2]
[6,3,5,2,8,7,4,1]=>[4,7,5,6,1,3,8,2]
[6,3,5,2,7,4,1,8]=>[4,7,5,6,1,3,2,8]
[4,5,7,2,6,3,1,8]=>[3,6,7,4,5,1,2,8]
[3,5,8,4,6,1,7,2]=>[6,7,3,8,5,4,1,2]
[1,4,7,3,5,2,6,8]=>[1,5,7,4,3,2,6,8]
[5,7,4,2,6,3,1,8]=>[3,6,4,7,5,1,2,8]
[4,2,6,3,5,7,1,8]=>[7,4,6,2,3,5,1,8]
[1,4,5,8,2,7,3,6]=>[1,8,7,4,5,3,2,6]
[2,4,5,8,1,6,7,3]=>[8,2,7,4,5,1,6,3]
[8,3,4,7,1,6,5,2]=>[7,5,6,2,8,1,4,3]
[4,2,5,7,8,1,6,3]=>[8,4,6,2,5,1,7,3]
[8,3,4,6,5,1,7,2]=>[5,6,7,1,8,4,2,3]
[4,1,7,3,5,2,6,8]=>[4,5,7,1,3,2,6,8]
[6,1,3,7,4,2,5,8]=>[6,4,1,7,2,3,5,8]
[3,1,6,8,2,7,4,5]=>[3,8,1,7,4,6,2,5]
[6,1,3,8,2,5,4,7]=>[6,8,1,5,2,3,4,7]
[4,8,2,3,1,6,7,5]=>[3,8,2,4,7,1,6,5]
[3,2,6,8,1,5,7,4]=>[8,3,2,7,1,6,5,4]
[8,2,6,1,5,4,7,3]=>[6,8,7,5,1,2,4,3]
[8,6,2,7,1,5,4,3]=>[7,6,4,5,1,8,2,3]
[7,6,8,3,1,5,4,2]=>[3,8,4,5,2,7,6,1]
[5,7,4,2,8,1,6,3]=>[8,4,7,6,5,1,3,2]
[6,3,7,2,8,1,5,4]=>[8,7,6,5,1,3,2,4]
[7,5,2,8,6,1,4,3]=>[6,5,4,2,8,7,1,3]
[2,7,3,8,1,5,6,4]=>[8,2,7,6,1,5,3,4]
[1,6,8,5,2,4,3,7]=>[1,5,4,2,8,6,3,7]
[4,5,7,2,8,1,6,3]=>[8,7,6,4,5,1,2,3]
[4,5,6,8,3,1,7,2]=>[3,8,7,4,5,6,2,1]
[8,4,6,5,3,1,7,2]=>[3,5,6,7,8,2,1,4]
[5,6,4,8,3,1,7,2]=>[3,8,7,6,5,4,2,1]
[3,4,7,1,2,6,5,8]=>[7,1,3,4,6,2,5,8]
[4,8,1,6,2,3,7,5]=>[8,6,2,4,7,1,3,5]
[4,5,3,1,7,2,6,8]=>[3,5,7,4,2,1,6,8]
[4,7,3,1,2,6,5,8]=>[3,1,7,4,6,2,5,8]
[5,2,7,1,3,6,4,8]=>[7,5,1,6,2,3,4,8]
[7,8,1,2,4,3,6,5]=>[8,1,4,2,6,3,7,5]
[8,4,1,6,2,3,7,5]=>[4,8,1,6,7,2,3,5]
[4,8,3,1,2,5,7,6]=>[3,1,8,4,2,7,5,6]
[4,1,3,6,5,7,8,2]=>[4,8,1,3,6,5,7,2]
[6,1,3,4,2,8,5,7]=>[6,4,1,3,8,2,5,7]
[8,1,4,2,5,7,6,3]=>[8,4,6,1,2,7,5,3]
[8,1,4,3,5,7,6,2]=>[8,6,4,1,3,7,5,2]
[5,2,4,1,3,7,8,6]=>[4,5,1,2,3,8,7,6]
[2,6,5,3,1,7,8,4]=>[3,2,5,6,8,4,7,1]
[8,3,2,1,5,7,6,4]=>[2,3,8,6,1,7,5,4]
[1,7,4,3,6,8,2,5]=>[1,8,4,7,2,3,6,5]
[2,7,6,3,1,8,4,5]=>[3,2,6,7,1,8,4,5]
[2,8,4,6,3,7,5,1]=>[5,2,7,6,8,1,4,3]
[8,7,1,3,6,5,4,2]=>[7,4,1,5,6,3,8,2]
[1,8,5,7,4,2,6,3]=>[1,4,7,6,8,3,5,2]
[3,8,6,5,7,1,4,2]=>[7,4,3,1,6,8,5,2]
[4,8,6,2,7,1,5,3]=>[7,6,5,4,1,8,2,3]
[4,7,5,3,8,2,1,6]=>[2,8,5,4,7,1,3,6]
[1,6,5,8,3,4,2,7]=>[1,4,8,3,6,5,2,7]
[6,1,5,3,8,4,2,7]=>[6,4,8,5,1,2,3,7]
[8,1,5,4,7,2,6,3]=>[8,7,6,5,1,2,4,3]
[2,1,4,7,5,8,3,6]=>[2,1,8,4,7,3,5,6]
[6,3,5,8,7,4,1,2]=>[4,1,7,6,2,5,8,3]
[4,7,2,8,5,6,3,1]=>[3,6,7,4,8,5,1,2]
[1,4,8,7,3,5,6,2]=>[1,6,7,4,3,5,8,2]
[8,1,7,6,3,5,4,2]=>[8,4,5,6,2,7,1,3]
[3,6,8,5,7,4,1,2]=>[4,1,3,7,8,6,5,2]
[4,7,6,8,5,3,1,2]=>[3,1,5,4,8,7,6,2]
[5,7,2,8,6,4,1,3]=>[4,6,1,8,5,7,2,3]
[3,8,7,5,6,4,2,1]=>[2,4,3,6,7,5,8,1]
[2,8,7,6,4,5,3,1]=>[3,2,5,6,4,7,8,1]
[1,8,7,6,5,3,4,2]=>[1,4,5,3,6,7,8,2]
[4,6,7,2,5,3,1,8]=>[3,5,7,4,1,6,2,8]
[3,6,7,4,8,1,5,2]=>[8,5,3,7,1,6,4,2]
[3,8,5,7,6,1,4,2]=>[6,4,3,1,7,8,2,5]
[1,4,7,8,2,6,5,3]=>[1,8,5,4,6,2,7,3]
[2,4,7,8,1,6,5,3]=>[8,2,5,4,6,1,7,3]
[4,2,6,8,7,1,5,3]=>[7,4,5,2,1,6,8,3]
[3,1,7,8,2,6,5,4]=>[3,8,1,5,6,2,7,4]
[6,1,3,8,2,7,5,4]=>[6,8,1,5,7,3,2,4]
[5,1,8,4,2,7,6,3]=>[5,4,8,6,1,7,3,2]
[8,2,6,1,7,5,4,3]=>[6,8,4,5,7,2,1,3]
[6,8,3,7,1,5,4,2]=>[7,4,5,8,1,6,2,3]
[2,7,3,8,1,6,5,4]=>[8,2,7,5,6,1,3,4]
[1,7,3,8,2,6,5,4]=>[1,8,7,5,6,2,3,4]
[2,6,8,4,1,7,5,3]=>[4,2,8,5,7,6,3,1]
[4,5,8,6,3,1,7,2]=>[3,6,8,4,5,7,1,2]
[4,6,7,1,2,8,5,3]=>[7,1,5,4,8,6,2,3]
[3,6,1,8,2,7,5,4]=>[6,8,3,5,7,1,2,4]
[5,7,4,1,2,8,6,3]=>[4,1,7,6,5,8,3,2]
[6,3,7,1,2,8,5,4]=>[7,1,6,5,8,3,2,4]
[6,2,1,8,3,7,5,4]=>[2,6,8,5,7,1,3,4]
[8,1,5,6,3,2,4,7]=>[8,3,6,2,1,5,4,7]
[1,7,8,3,5,2,4,6]=>[1,5,8,2,3,4,7,6]
[8,5,3,7,2,4,6,1]=>[6,7,5,2,8,4,3,1]
[1,7,2,4,8,5,3,6]=>[1,7,5,2,8,3,4,6]
[1,7,8,5,4,3,2,6]=>[1,3,4,5,8,2,7,6]
[2,6,8,7,4,3,5,1]=>[5,2,4,7,3,6,8,1]
[1,2,6,7,8,4,3,5]=>[1,2,4,8,3,6,7,5]
[2,7,5,8,4,1,3,6]=>[4,2,1,8,7,3,5,6]
[2,1,7,8,4,5,3,6]=>[2,1,5,8,4,3,7,6]
[3,7,8,2,1,5,4,6]=>[2,8,3,5,1,4,7,6]
[8,5,1,4,7,3,6,2]=>[5,8,6,2,7,1,4,3]
[8,4,7,5,3,6,1,2]=>[6,1,5,7,8,4,3,2]
[8,1,4,6,7,3,5,2]=>[8,5,7,1,3,4,6,2]
[3,5,8,6,7,4,1,2]=>[4,1,3,7,5,8,6,2]
[3,6,8,4,7,1,5,2]=>[7,5,3,8,1,6,4,2]
[4,7,1,3,6,8,2,5]=>[7,8,1,4,2,3,6,5]
[3,7,6,4,8,1,2,5]=>[8,1,3,6,2,7,4,5]
[3,1,7,5,6,8,2,4]=>[3,8,1,2,7,5,6,4]
[2,3,6,5,7,1,8,4]=>[7,2,3,8,6,5,1,4]
[3,7,5,4,2,1,8,6]=>[2,4,3,5,7,8,1,6]
[1,3,6,7,4,2,8,5]=>[1,4,3,7,8,6,2,5]
[3,6,4,8,2,7,5,1]=>[5,7,3,8,6,1,4,2]
[1,4,6,3,2,7,8,5]=>[1,3,6,4,8,2,7,5]
[8,7,1,5,6,3,2,4]=>[7,3,6,2,1,5,8,4]
[8,1,6,7,5,3,2,4]=>[8,3,5,2,7,1,6,4]
[1,7,8,6,5,3,2,4]=>[1,3,5,2,6,8,7,4]
[8,7,2,4,6,5,3,1]=>[3,5,6,2,7,4,8,1]
[1,7,8,2,6,4,5,3]=>[1,8,5,6,4,2,7,3]
[8,7,2,5,4,6,1,3]=>[6,7,1,5,2,4,8,3]
[8,7,2,5,3,1,6,4]=>[3,5,7,6,1,2,8,4]
[8,7,3,2,1,5,6,4]=>[2,3,7,6,1,5,8,4]
[8,2,6,7,3,1,5,4]=>[3,7,8,5,2,1,6,4]
[1,7,2,8,5,6,4,3]=>[1,7,4,6,8,5,2,3]
[2,7,1,8,4,6,5,3]=>[7,2,5,6,8,3,1,4]
[3,7,8,2,1,6,5,4]=>[2,8,3,5,6,1,7,4]
[8,7,6,1,4,5,3,2]=>[6,3,5,1,4,7,8,2]
[4,8,1,2,3,7,5,6]=>[8,1,2,4,7,5,3,6]
[1,8,2,3,6,5,4,7]=>[1,8,2,5,6,3,4,7]
[3,5,8,4,7,2,6,1]=>[6,7,3,8,5,2,4,1]
[1,8,5,4,6,2,3,7]=>[1,6,2,5,8,4,3,7]
[3,8,5,4,6,1,2,7]=>[6,1,3,5,8,4,2,7]
[3,8,5,1,6,4,2,7]=>[5,4,3,8,6,2,1,7]
[2,8,5,4,6,1,3,7]=>[6,2,1,5,8,4,3,7]
[2,8,5,4,6,3,1,7]=>[3,2,6,5,8,4,1,7]
[1,8,5,4,6,3,2,7]=>[1,3,6,5,8,4,2,7]
[2,5,8,4,7,3,6,1]=>[6,2,7,8,5,3,4,1]
[3,6,4,2,7,8,5,1]=>[5,4,3,8,6,1,7,2]
[3,5,4,1,6,2,7,8]=>[4,5,3,6,2,1,7,8]
[4,5,8,1,7,6,2,3]=>[8,6,2,4,5,7,1,3]
[3,5,8,4,7,1,6,2]=>[7,6,3,8,5,1,4,2]
[1,5,8,4,7,3,6,2]=>[1,6,7,8,5,3,4,2]
[3,6,4,1,7,8,5,2]=>[4,6,3,5,8,2,7,1]
[3,6,4,8,7,5,2,1]=>[2,5,3,7,6,1,8,4]
[1,6,4,3,7,8,5,2]=>[1,5,4,8,6,2,7,3]
[7,1,3,4,8,6,5,2]=>[7,5,1,3,6,8,4,2]
[7,6,1,3,8,4,2,5]=>[6,4,2,7,1,8,3,5]
[1,6,4,2,7,8,3,5]=>[1,4,6,8,2,3,7,5]
[2,6,4,3,7,1,8,5]=>[7,2,4,6,8,3,1,5]
[2,6,4,1,7,8,3,5]=>[4,2,6,8,1,3,7,5]
[7,2,3,4,8,6,5,1]=>[5,6,2,3,8,7,4,1]
[7,2,3,1,8,6,4,5]=>[3,7,2,6,4,8,1,5]
[7,2,3,4,1,6,8,5]=>[4,7,2,3,8,1,6,5]
[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,7,5,6]
[7,3,8,6,1,4,2,5]=>[6,4,8,3,2,7,1,5]
[7,2,8,6,3,4,1,5]=>[4,7,6,3,1,8,2,5]
[7,2,3,1,5,6,8,4]=>[3,7,2,8,1,5,6,4]
[7,2,3,8,1,6,5,4]=>[8,7,2,5,6,1,3,4]
[7,2,3,8,5,6,4,1]=>[4,6,1,7,8,5,3,2]
[2,6,4,8,7,1,5,3]=>[7,2,5,6,1,4,8,3]
[1,5,8,4,7,6,2,3]=>[1,6,2,7,5,8,3,4]
[3,5,8,1,6,7,2,4]=>[8,7,3,2,5,1,6,4]
[7,6,1,3,5,8,2,4]=>[6,7,2,1,3,8,5,4]
[7,1,3,2,5,6,8,4]=>[7,3,1,8,2,5,6,4]
[7,1,3,8,2,6,5,4]=>[7,8,1,5,6,2,3,4]
[7,6,1,8,5,4,2,3]=>[6,4,1,5,7,8,2,3]
[4,1,6,5,8,2,7,3]=>[4,8,7,1,6,5,2,3]
[3,1,6,5,8,4,7,2]=>[3,7,1,8,6,5,4,2]
[3,2,6,5,8,4,7,1]=>[7,3,2,8,6,5,4,1]
[4,3,7,1,6,5,8,2]=>[7,8,4,3,6,1,5,2]
[5,2,6,4,8,3,7,1]=>[7,5,8,6,2,4,3,1]
[5,1,6,4,8,3,7,2]=>[5,7,8,6,1,4,3,2]
[5,1,6,4,8,2,7,3]=>[5,8,7,6,1,4,2,3]
[5,2,6,4,8,1,7,3]=>[8,5,7,6,2,4,1,3]
[4,3,7,5,8,1,6,2]=>[8,6,4,3,7,1,5,2]
[4,3,7,5,8,2,6,1]=>[6,8,4,3,7,2,5,1]
[5,3,7,4,8,2,6,1]=>[6,8,5,7,3,2,4,1]
[5,3,7,4,8,1,6,2]=>[8,6,5,7,3,1,4,2]
[5,4,8,1,6,2,7,3]=>[8,6,7,5,4,1,2,3]
[4,3,7,2,6,1,8,5]=>[6,7,4,3,8,2,1,5]
[4,3,7,1,5,2,8,6]=>[7,5,4,3,1,8,2,6]
[4,3,7,1,6,2,8,5]=>[7,6,4,3,8,1,2,5]
[5,4,8,2,6,3,7,1]=>[7,8,6,5,4,2,3,1]
[5,4,8,1,6,3,7,2]=>[8,7,6,5,4,1,3,2]
[5,1,2,7,6,3,8,4]=>[5,1,6,7,2,8,4,3]
[4,1,7,5,2,3,6,8]=>[4,5,2,1,7,3,6,8]
[4,7,2,6,3,1,5,8]=>[3,6,7,4,2,1,5,8]
[4,8,2,7,3,5,1,6]=>[5,8,7,4,3,1,2,6]
[4,1,8,7,6,3,2,5]=>[4,3,6,1,2,7,8,5]
[5,1,8,6,7,3,2,4]=>[5,3,7,2,1,8,6,4]
[4,1,7,8,6,3,2,5]=>[4,3,6,1,2,8,7,5]
[4,7,2,8,3,5,1,6]=>[5,7,8,4,3,1,2,6]
[1,2,6,8,3,7,4,5]=>[1,2,8,7,4,6,3,5]
[6,8,3,2,1,4,7,5]=>[2,3,8,1,7,6,4,5]
[6,7,5,2,1,8,3,4]=>[2,5,7,1,8,6,3,4]
[7,2,4,1,6,5,8,3]=>[4,7,8,2,6,1,5,3]
[8,4,3,1,6,5,7,2]=>[3,4,8,7,6,1,5,2]
[7,5,8,4,3,1,6,2]=>[3,4,8,6,7,1,5,2]
[6,7,5,2,8,4,1,3]=>[4,8,2,5,7,6,1,3]
[6,8,2,4,1,3,7,5]=>[4,8,1,2,7,6,3,5]
[8,4,6,5,7,3,2,1]=>[2,3,7,8,6,4,5,1]
[5,2,6,7,3,8,4,1]=>[4,8,5,7,3,6,1,2]
[5,2,7,6,3,8,4,1]=>[4,8,5,6,3,7,1,2]
[2,8,4,7,6,3,5,1]=>[5,2,6,7,4,8,3,1]
[6,1,2,7,5,8,4,3]=>[6,1,4,8,7,2,5,3]
[3,4,7,5,1,6,8,2]=>[5,7,3,4,8,2,6,1]
[7,1,2,6,5,8,4,3]=>[7,1,4,8,6,2,5,3]
[8,4,6,5,7,3,1,2]=>[3,1,7,8,6,4,5,2]
[6,2,5,7,3,8,4,1]=>[4,8,6,7,3,5,1,2]
[7,3,4,6,2,8,5,1]=>[5,8,6,1,7,4,3,2]
[4,2,7,3,8,5,6,1]=>[6,4,7,2,8,5,3,1]
[4,5,2,6,8,3,7,1]=>[7,5,8,4,2,6,3,1]
[4,8,3,2,5,7,6,1]=>[6,3,7,4,1,8,5,2]
[2,6,8,5,3,4,7,1]=>[7,2,5,3,8,6,4,1]
[7,2,4,3,8,5,6,1]=>[6,7,4,2,8,5,3,1]
[6,8,5,3,4,7,2,1]=>[2,7,5,3,8,6,4,1]
[2,4,7,6,1,5,8,3]=>[6,2,7,4,3,8,5,1]
[8,2,6,7,5,1,4,3]=>[5,7,4,2,8,1,6,3]
[6,1,7,5,8,4,2,3]=>[6,4,2,8,7,1,5,3]
[3,8,4,5,7,6,2,1]=>[2,6,3,7,1,8,5,4]
[8,4,7,6,2,3,5,1]=>[5,6,2,7,4,8,3,1]
[6,8,4,1,5,3,7,2]=>[4,8,7,5,2,6,1,3]
[6,8,3,4,7,2,5,1]=>[5,7,8,3,2,6,4,1]
[8,3,4,7,6,2,5,1]=>[5,6,7,2,3,8,4,1]
[4,7,6,2,5,8,3,1]=>[3,8,6,4,1,7,5,2]
[1,8,3,5,2,6,7,4]=>[1,5,8,7,3,2,6,4]
[8,3,5,1,4,7,6,2]=>[5,6,7,1,2,8,4,3]
[6,8,3,5,1,4,7,2]=>[5,7,8,1,3,6,4,2]
[6,1,5,8,4,3,7,2]=>[6,7,4,8,1,5,3,2]
[6,8,4,7,2,3,5,1]=>[5,7,2,8,3,6,4,1]
[1,7,2,6,5,8,4,3]=>[1,7,4,8,6,2,5,3]
[7,1,6,5,8,4,2,3]=>[7,4,2,8,6,1,5,3]
[7,5,3,4,8,2,6,1]=>[6,8,5,3,7,2,4,1]
[5,3,8,2,4,7,6,1]=>[6,7,5,1,3,8,4,2]
[6,7,2,8,5,4,3,1]=>[3,4,5,8,7,6,1,2]
[3,7,4,6,2,8,5,1]=>[5,8,3,6,7,1,4,2]
[7,4,2,3,8,5,6,1]=>[6,4,2,7,8,5,3,1]
[6,8,5,4,2,3,7,1]=>[7,4,2,5,8,6,3,1]
[6,8,4,7,1,3,5,2]=>[7,5,1,8,3,6,4,2]
[5,8,2,4,3,7,6,1]=>[6,7,4,1,5,8,3,2]
[3,4,5,8,2,7,6,1]=>[6,7,3,4,5,8,1,2]
[6,8,3,4,5,2,7,1]=>[7,5,8,3,4,6,2,1]
[6,7,1,5,3,8,4,2]=>[7,4,8,5,1,6,2,3]
[7,4,6,3,2,8,5,1]=>[5,3,8,6,7,1,4,2]
[8,2,1,3,5,6,4,7]=>[2,8,1,6,3,5,4,7]
[8,2,1,3,5,4,7,6]=>[2,8,1,5,3,7,4,6]
[8,2,1,3,4,6,7,5]=>[2,8,1,3,7,4,6,5]
[8,1,3,4,2,6,5,7]=>[8,4,1,3,6,2,5,7]
[8,1,3,4,2,5,7,6]=>[8,4,1,3,2,7,5,6]
[8,1,3,2,5,6,4,7]=>[8,3,1,6,2,5,4,7]
[8,1,2,4,5,3,7,6]=>[8,1,5,2,4,7,3,6]
[8,1,2,4,3,6,7,5]=>[8,1,4,2,7,3,6,5]
[6,5,3,8,4,2,7,1]=>[7,4,8,5,6,2,3,1]
[7,4,5,1,6,2,8,3]=>[5,6,8,7,4,1,2,3]
[4,7,3,5,6,2,8,1]=>[8,6,7,4,3,5,2,1]
[6,7,8,4,1,3,5,2]=>[4,8,2,5,3,6,7,1]
[3,1,6,8,4,7,5,2]=>[3,5,1,7,8,6,2,4]
[8,3,6,1,5,7,4,2]=>[6,4,7,8,1,2,5,3]
[2,7,3,5,8,6,4,1]=>[4,2,6,8,3,7,5,1]
[3,2,7,5,8,6,1,4]=>[6,3,2,1,8,7,4,5]
[2,4,7,5,8,6,1,3]=>[6,2,1,4,8,7,3,5]
[2,5,4,7,8,1,6,3]=>[8,2,6,5,4,1,7,3]
[2,4,6,7,8,1,5,3]=>[8,2,5,4,1,6,7,3]
[2,4,7,6,1,8,5,3]=>[6,2,5,4,7,8,3,1]
[2,4,6,8,1,7,5,3]=>[8,2,5,4,7,6,1,3]
[7,3,6,8,2,5,1,4]=>[5,8,7,1,2,3,6,4]
[5,7,3,8,6,2,1,4]=>[2,6,8,3,5,7,1,4]
[7,4,3,8,6,2,1,5]=>[2,6,4,8,3,7,1,5]
[2,4,7,8,3,5,6,1]=>[6,2,8,4,3,5,7,1]
[3,4,7,2,8,5,1,6]=>[5,8,3,4,7,2,1,6]
[3,5,2,7,8,1,4,6]=>[8,5,3,1,2,4,7,6]
[3,2,7,6,1,8,4,5]=>[6,3,2,7,1,8,4,5]
[3,2,6,8,1,7,4,5]=>[8,3,2,7,4,6,1,5]
[3,5,2,8,1,4,7,6]=>[8,5,3,1,2,7,4,6]
[4,3,6,2,1,8,5,7]=>[2,6,4,3,8,1,5,7]
[3,6,4,2,5,8,1,7]=>[8,4,3,6,2,5,1,7]
[4,6,2,3,5,8,7,1]=>[7,6,2,4,3,5,8,1]
[4,6,2,3,7,5,8,1]=>[8,6,2,4,7,3,5,1]
[3,6,4,2,7,5,1,8]=>[5,4,3,7,6,1,2,8]
[4,3,6,2,7,1,5,8]=>[7,6,4,3,1,2,5,8]
[3,6,5,2,1,7,4,8]=>[2,5,3,6,7,4,1,8]
[4,8,6,3,2,1,5,7]=>[2,3,6,4,1,8,5,7]
[7,4,6,3,2,1,5,8]=>[2,3,6,7,1,4,5,8]
[5,8,4,2,3,6,7,1]=>[7,4,2,8,5,3,6,1]
[6,4,8,3,2,1,5,7]=>[2,3,8,6,1,4,5,7]
[8,4,5,3,2,1,7,6]=>[2,3,5,8,4,7,1,6]
[5,8,3,4,2,1,7,6]=>[2,4,8,3,5,7,1,6]
[6,8,4,2,3,7,5,1]=>[5,4,1,7,8,6,3,2]
[3,6,4,2,1,8,7,5]=>[2,4,3,6,7,1,8,5]
[6,4,8,3,2,7,1,5]=>[7,3,8,6,1,4,2,5]
[5,6,8,3,2,7,1,4]=>[7,3,8,1,5,6,2,4]
[5,8,3,7,2,1,6,4]=>[2,7,8,6,5,1,3,4]
[2,8,5,7,4,1,6,3]=>[4,2,7,6,8,3,5,1]
[2,8,6,5,4,1,7,3]=>[4,2,5,6,8,7,3,1]
[2,5,6,4,1,8,7,3]=>[4,2,6,7,5,3,8,1]
[2,8,6,4,5,7,1,3]=>[7,2,1,6,4,8,5,3]
[3,8,6,2,5,7,1,4]=>[7,6,3,1,2,8,5,4]
[2,8,6,5,3,7,4,1]=>[4,2,7,5,6,8,1,3]
[2,5,6,4,7,1,8,3]=>[7,2,8,6,5,4,1,3]
[2,6,5,4,1,7,8,3]=>[4,2,5,6,8,1,7,3]
[2,5,4,8,1,6,7,3]=>[8,2,7,5,4,1,6,3]
[5,7,6,3,2,8,1,4]=>[8,3,6,1,5,7,2,4]
[6,5,7,3,2,8,1,4]=>[8,3,7,1,6,5,2,4]
[6,4,7,3,8,2,1,5]=>[2,8,7,6,1,4,3,5]
[3,6,4,2,7,1,8,5]=>[7,4,3,6,8,2,1,5]
[7,5,4,2,3,8,6,1]=>[6,4,1,5,8,7,3,2]
[6,7,4,3,2,1,8,5]=>[2,3,4,7,8,6,1,5]
[8,4,3,6,2,1,7,5]=>[2,6,4,8,7,3,1,5]
[8,4,3,7,2,1,5,6]=>[2,7,4,8,1,5,3,6]
[8,4,6,3,2,1,5,7]=>[2,3,6,8,1,4,5,7]
[4,6,3,2,1,5,7,8]=>[2,3,6,4,1,5,7,8]
[1,2,6,5,8,7,3,4]=>[1,2,7,3,6,5,8,4]
[1,5,2,8,4,6,7,3]=>[1,5,7,8,2,4,6,3]
[1,5,2,7,4,6,8,3]=>[1,5,8,7,2,4,6,3]
[5,1,2,7,3,6,8,4]=>[5,1,7,8,2,3,6,4]
[5,1,2,8,3,6,7,4]=>[5,1,8,7,2,3,6,4]
[5,6,3,4,8,7,2,1]=>[2,7,6,3,5,4,8,1]
[6,5,3,4,8,7,2,1]=>[2,7,5,3,6,4,8,1]
[4,1,2,8,3,6,7,5]=>[4,1,8,2,7,3,6,5]
[4,1,2,7,3,6,8,5]=>[4,1,7,2,8,3,6,5]
[5,1,2,8,3,6,4,7]=>[5,1,8,6,2,3,4,7]
[7,5,3,8,4,6,2,1]=>[2,6,5,7,8,3,4,1]
[8,5,3,7,4,6,2,1]=>[2,6,5,8,7,3,4,1]
[4,1,2,7,3,6,5,8]=>[4,1,7,2,6,3,5,8]
[6,1,7,2,3,5,4,8]=>[6,7,2,5,3,1,4,8]
[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]
[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]
[5,8,1,2,3,4,7,6]=>[8,1,2,3,5,7,4,6]
[7,1,8,2,3,5,4,6]=>[7,8,2,5,3,4,1,6]
[7,1,2,8,3,6,4,5]=>[7,1,8,6,4,3,2,5]
[6,1,8,2,3,5,7,4]=>[6,8,2,7,3,1,5,4]
[6,1,7,2,3,5,8,4]=>[6,7,2,8,3,1,5,4]
[1,6,7,2,4,5,8,3]=>[1,7,8,2,4,6,5,3]
[1,6,8,2,4,5,7,3]=>[1,8,7,2,4,6,5,3]
[4,3,8,7,5,6,2,1]=>[2,6,4,3,7,5,8,1]
[1,8,2,7,4,6,5,3]=>[1,8,5,6,7,3,2,4]
[1,8,6,2,4,5,7,3]=>[1,6,8,3,4,7,5,2]
[1,7,6,2,4,5,8,3]=>[1,6,7,3,4,8,5,2]
[7,1,6,2,3,5,8,4]=>[7,6,2,8,3,1,5,4]
[8,1,6,2,3,5,7,4]=>[8,6,2,7,3,1,5,4]
[8,1,7,2,3,5,6,4]=>[8,7,2,6,3,5,1,4]
[5,8,3,7,4,6,2,1]=>[2,6,8,7,5,4,3,1]
[6,8,7,3,4,5,2,1]=>[2,5,7,3,4,6,8,1]
[1,8,7,2,4,5,3,6]=>[1,7,5,2,4,3,8,6]
[8,1,7,2,3,5,4,6]=>[8,7,2,5,3,4,1,6]
[8,7,1,2,3,4,6,5]=>[7,1,2,3,6,4,8,5]
[8,6,1,2,3,4,7,5]=>[6,1,2,3,8,7,5,4]
[8,5,1,2,3,4,7,6]=>[5,1,2,3,8,7,4,6]
[8,1,6,2,3,5,4,7]=>[8,6,2,5,3,1,4,7]
[1,8,6,2,4,5,3,7]=>[1,6,5,2,4,8,3,7]
[1,7,6,2,4,5,3,8]=>[1,6,5,2,4,7,3,8]
[7,1,6,2,3,5,4,8]=>[7,6,2,5,3,1,4,8]
[1,8,7,4,6,3,5,2]=>[1,5,6,7,3,4,8,2]
[4,7,2,6,1,8,5,3]=>[6,7,5,4,8,2,1,3]
[6,7,2,5,1,4,8,3]=>[5,7,8,1,2,6,4,3]
[6,3,7,5,1,4,8,2]=>[5,7,8,2,6,1,4,3]
[4,2,5,8,7,3,6,1]=>[6,4,7,2,5,3,8,1]
[8,1,2,4,7,3,6,5]=>[8,1,7,2,6,3,4,5]
[1,8,3,5,7,2,6,4]=>[1,7,8,6,3,2,5,4]
[1,3,4,8,7,5,6,2]=>[1,6,3,4,7,5,8,2]
[2,3,4,6,8,5,7,1]=>[7,2,3,4,8,6,5,1]
[2,3,5,7,4,8,6,1]=>[6,2,3,8,5,7,1,4]
[2,4,6,3,7,8,5,1]=>[5,2,8,4,6,1,7,3]
[2,5,7,1,8,6,3,4]=>[7,2,6,3,5,8,1,4]
[1,5,6,8,3,7,4,2]=>[1,4,7,8,5,6,2,3]
[8,1,3,5,2,7,4,6]=>[8,5,1,7,3,4,2,6]
[8,2,4,5,1,3,7,6]=>[5,8,1,2,4,7,3,6]
[1,3,8,5,2,4,6,7]=>[1,5,3,2,8,4,6,7]
[1,4,7,8,3,5,6,2]=>[1,6,8,4,3,5,7,2]
[2,6,7,1,8,4,5,3]=>[7,2,5,8,4,6,1,3]
[4,5,6,1,3,7,8,2]=>[6,8,1,4,5,3,7,2]
[3,4,1,8,5,2,6,7]=>[4,5,3,1,8,2,6,7]
[2,4,8,1,5,3,6,7]=>[8,2,5,4,1,3,6,7]
[5,8,3,1,4,2,6,7]=>[3,8,4,2,5,1,6,7]
[8,2,4,1,5,7,3,6]=>[4,8,7,2,1,3,5,6]
[3,8,4,2,6,7,1,5]=>[7,4,3,8,1,2,6,5]
[2,4,1,8,5,6,3,7]=>[4,2,6,1,8,5,3,7]
[1,6,2,7,8,5,3,4]=>[1,6,5,3,8,2,7,4]
[3,5,2,6,7,8,4,1]=>[4,8,3,5,1,6,7,2]
[4,5,1,6,7,3,8,2]=>[5,8,7,4,1,6,3,2]
[2,8,4,1,7,5,3,6]=>[4,2,8,5,7,1,3,6]
[8,5,3,1,7,4,2,6]=>[3,5,4,8,7,2,1,6]
[4,2,8,7,1,5,3,6]=>[7,4,5,2,1,3,8,6]
[5,2,6,8,1,7,4,3]=>[8,5,4,7,2,6,1,3]
[5,2,7,1,6,8,3,4]=>[7,5,8,3,2,1,6,4]
[5,7,3,2,6,8,1,4]=>[8,3,7,1,5,2,6,4]
[8,4,7,3,1,6,2,5]=>[3,7,6,8,1,2,4,5]
[5,7,1,2,8,4,6,3]=>[7,1,6,8,5,4,2,3]
[6,7,1,2,3,5,8,4]=>[7,1,2,8,3,6,5,4]
[6,1,7,2,3,8,5,4]=>[6,7,2,5,8,1,3,4]
[3,2,8,6,1,4,5,7]=>[6,3,2,1,4,8,5,7]
[3,1,6,7,8,4,2,5]=>[3,4,1,8,2,6,7,5]
[3,1,4,8,5,6,2,7]=>[3,6,1,4,8,5,2,7]
[5,1,8,2,3,6,4,7]=>[5,8,2,6,1,3,4,7]
[8,3,1,4,5,7,2,6]=>[3,8,7,2,4,1,5,6]
[8,6,2,3,5,1,4,7]=>[5,6,2,1,3,8,4,7]
[8,2,4,5,7,3,1,6]=>[3,7,8,1,4,2,5,6]
[2,6,3,8,7,5,4,1]=>[4,2,5,7,6,3,8,1]
[8,2,3,7,5,4,1,6]=>[4,5,2,7,8,1,3,6]
[8,2,6,3,5,4,1,7]=>[4,5,8,6,1,3,2,7]
[8,6,1,5,2,4,3,7]=>[6,5,4,2,1,8,3,7]
[8,6,2,4,1,5,3,7]=>[4,6,5,2,1,8,3,7]
[8,4,1,6,5,3,2,7]=>[4,3,8,5,6,2,1,7]
[8,3,6,1,5,4,2,7]=>[6,4,5,8,1,2,3,7]
[8,3,2,6,5,4,1,7]=>[4,3,5,6,8,2,1,7]
[8,3,2,5,7,4,1,6]=>[4,3,7,8,1,2,5,6]
[8,3,1,7,5,4,2,6]=>[3,8,4,5,7,1,2,6]
[8,2,7,4,1,5,3,6]=>[4,7,8,5,2,1,3,6]
[6,1,3,8,7,5,4,2]=>[6,4,1,5,7,3,8,2]
[3,6,1,8,7,5,4,2]=>[6,4,3,5,7,1,8,2]
[3,8,1,5,7,6,4,2]=>[8,4,3,6,1,7,5,2]
[3,5,2,8,7,6,4,1]=>[4,6,3,5,1,7,8,2]
[3,4,8,2,7,6,5,1]=>[5,6,3,4,7,8,2,1]
[3,4,8,7,1,6,5,2]=>[7,5,3,4,6,1,8,2]
[8,1,3,5,7,6,4,2]=>[8,4,1,6,3,7,5,2]
[4,1,8,5,7,6,3,2]=>[4,3,6,1,7,8,2,5]
[8,2,7,1,4,5,6,3]=>[7,8,6,1,4,5,2,3]
[8,1,7,3,4,6,2,5]=>[8,6,7,3,2,4,1,5]
[8,3,1,7,2,6,5,4]=>[3,8,7,5,6,1,2,4]
[3,8,2,4,7,6,5,1]=>[5,6,3,2,7,8,4,1]
[2,8,3,7,4,6,5,1]=>[5,2,6,8,7,1,4,3]
[8,2,3,7,1,6,5,4]=>[7,8,2,5,6,1,3,4]
[8,2,7,1,3,6,5,4]=>[7,8,1,5,6,3,2,4]
[8,1,7,2,6,4,3,5]=>[8,7,4,6,3,2,1,5]
[8,1,7,5,2,4,3,6]=>[8,5,4,2,7,3,1,6]
[8,2,3,7,4,6,1,5]=>[6,8,2,7,1,4,3,5]
[2,4,8,5,7,6,3,1]=>[3,2,6,4,7,8,1,5]
[8,2,4,3,7,6,1,5]=>[6,7,4,1,2,8,3,5]
[8,2,7,3,5,1,4,6]=>[5,8,7,1,3,4,2,6]
[8,2,7,4,3,1,5,6]=>[3,4,7,8,1,5,2,6]
[8,2,7,3,1,5,6,4]=>[3,7,8,6,2,5,1,4]
[8,2,1,5,7,6,4,3]=>[2,8,4,6,1,7,5,3]
[6,2,1,8,7,5,4,3]=>[2,6,4,5,7,1,8,3]
[6,1,8,2,7,5,4,3]=>[6,8,4,5,7,1,2,3]
[8,1,7,3,5,2,6,4]=>[8,5,7,6,3,2,1,4]
[8,1,5,2,7,6,4,3]=>[8,5,4,6,1,7,2,3]
[8,1,7,2,4,6,5,3]=>[8,7,5,2,6,4,1,3]
[8,2,4,1,7,6,5,3]=>[4,8,5,2,6,7,1,3]
[4,2,8,3,7,6,5,1]=>[5,4,6,2,7,8,3,1]
[4,8,2,1,7,6,5,3]=>[2,8,5,4,6,7,1,3]
[5,1,8,7,2,6,4,3]=>[5,7,4,6,1,2,8,3]
[5,8,1,3,7,6,2,4]=>[8,6,1,2,5,7,3,4]
[8,2,5,4,1,7,6,3]=>[4,5,8,6,3,7,2,1]
[5,1,4,8,7,6,3,2]=>[5,3,6,1,4,7,8,2]
[8,1,4,3,7,6,5,2]=>[8,5,4,1,6,7,3,2]
[4,8,1,3,7,6,5,2]=>[8,5,1,4,6,7,3,2]
[4,3,8,1,7,6,5,2]=>[8,5,4,3,6,7,1,2]
[5,8,6,3,2,1,7,4]=>[2,3,6,8,5,7,4,1]
[5,1,7,4,3,2,6,8]=>[5,3,4,7,1,2,6,8]
[5,7,6,3,2,4,1,8]=>[4,3,6,2,5,7,1,8]
[6,5,7,2,4,3,1,8]=>[3,4,7,1,6,5,2,8]
[5,7,1,3,2,8,6,4]=>[7,3,1,6,5,8,2,4]
[5,8,1,3,2,7,4,6]=>[8,3,1,7,5,4,2,6]
[8,5,1,3,2,4,6,7]=>[5,3,1,2,8,4,6,7]
[6,5,1,3,7,2,4,8]=>[5,6,2,1,7,3,4,8]
[7,5,1,3,2,4,8,6]=>[5,3,1,2,7,8,4,6]
[7,5,8,2,1,4,3,6]=>[2,8,4,1,7,3,5,6]
[6,7,1,2,5,4,8,3]=>[7,1,8,5,2,6,4,3]
[7,4,3,1,2,8,6,5]=>[3,1,4,7,6,8,2,5]
[3,2,8,1,4,7,5,6]=>[8,3,2,1,7,5,4,6]
[8,4,3,1,2,7,5,6]=>[3,1,4,8,7,5,2,6]
[6,8,1,2,5,7,4,3]=>[8,1,4,7,2,6,5,3]
[7,1,2,3,8,6,4,5]=>[7,1,2,6,4,8,3,5]
[8,1,6,4,2,3,5,7]=>[8,4,2,6,3,1,5,7]
[4,1,3,8,2,5,7,6]=>[4,8,1,3,2,7,5,6]
[6,8,5,3,4,1,7,2]=>[4,7,5,3,8,6,1,2]
[1,5,4,8,2,3,7,6]=>[1,8,2,5,4,7,3,6]
[1,8,6,5,2,3,7,4]=>[1,5,2,6,8,7,3,4]
[8,5,7,4,1,3,6,2]=>[4,7,2,6,8,3,5,1]
[1,7,8,2,3,5,6,4]=>[1,8,2,6,3,5,7,4]
[7,6,8,1,3,4,2,5]=>[8,4,1,3,2,7,6,5]
[7,5,8,2,3,1,4,6]=>[3,8,2,1,7,4,5,6]
[7,4,1,2,6,8,3,5]=>[4,1,7,8,2,3,6,5]
[7,1,3,8,2,5,6,4]=>[7,8,1,6,2,5,3,4]
[6,2,8,1,5,7,3,4]=>[8,6,7,3,1,2,5,4]
[7,2,5,4,1,8,6,3]=>[4,5,7,6,3,8,2,1]
[7,3,5,4,2,1,8,6]=>[2,4,5,7,1,8,3,6]
[7,4,5,2,1,6,8,3]=>[2,5,8,7,4,1,6,3]
[7,4,3,2,6,1,8,5]=>[6,3,4,7,8,2,1,5]
[7,3,2,8,5,6,1,4]=>[6,3,7,1,8,5,2,4]
[7,2,5,4,1,6,3,8]=>[4,5,7,6,3,2,1,8]
[1,5,2,4,7,8,3,6]=>[1,5,8,2,4,3,7,6]
[3,5,1,2,8,6,7,4]=>[5,1,3,7,2,8,6,4]
[2,5,3,4,7,8,1,6]=>[8,2,5,3,4,1,7,6]
[2,7,4,3,6,8,5,1]=>[5,2,4,8,7,1,6,3]
[1,7,4,3,6,8,5,2]=>[1,5,4,8,7,2,6,3]
[3,7,1,8,2,5,6,4]=>[7,8,3,6,2,5,1,4]
[4,7,6,3,2,5,8,1]=>[8,3,6,4,2,7,5,1]
[4,7,6,5,2,3,8,1]=>[8,5,2,4,6,7,3,1]
[4,7,6,5,1,3,8,2]=>[5,6,1,4,7,8,3,2]
[1,7,6,5,2,3,8,4]=>[1,5,2,6,7,8,3,4]
[1,7,6,5,8,3,2,4]=>[1,3,8,2,6,7,5,4]
[4,7,6,5,1,3,2,8]=>[5,3,1,4,6,7,2,8]
[4,7,6,5,3,8,1,2]=>[8,1,5,4,6,7,3,2]
[5,7,6,3,2,8,4,1]=>[4,3,8,6,5,7,1,2]
[5,4,6,8,7,2,1,3]=>[2,7,1,5,4,6,8,3]
[6,3,4,2,8,1,5,7]=>[8,4,6,3,1,2,5,7]
[6,7,4,2,1,8,5,3]=>[2,4,7,5,8,6,3,1]
[6,7,3,2,1,8,5,4]=>[2,3,7,5,8,6,1,4]
[5,7,6,2,1,4,8,3]=>[2,6,7,3,5,8,4,1]
[1,7,6,3,2,8,4,5]=>[1,3,6,7,2,8,4,5]
[5,4,2,1,7,3,6,8]=>[2,4,5,7,3,1,6,8]
[6,5,8,1,7,3,4,2]=>[8,4,7,3,6,5,1,2]
[6,5,8,2,3,7,4,1]=>[4,7,1,8,6,5,3,2]
[6,5,8,3,4,1,7,2]=>[4,7,8,3,6,5,1,2]
[5,7,3,6,8,1,4,2]=>[8,4,7,1,5,3,6,2]
[5,7,2,6,3,1,4,8]=>[3,6,7,2,5,1,4,8]
[4,1,2,8,5,6,3,7]=>[4,1,6,2,8,5,3,7]
[4,1,2,8,5,3,6,7]=>[4,1,5,2,8,3,6,7]
[2,1,6,3,7,8,5,4]=>[2,1,6,5,8,3,7,4]
[4,7,1,6,8,2,5,3]=>[7,8,5,4,2,1,6,3]
[3,7,4,1,6,5,2,8]=>[4,7,3,5,6,2,1,8]
[3,7,2,1,4,5,6,8]=>[2,7,3,1,4,5,6,8]
[3,5,8,2,6,1,7,4]=>[6,8,3,7,5,2,1,4]
[4,2,7,8,3,5,1,6]=>[5,4,8,2,3,1,7,6]
[4,5,1,7,3,6,8,2]=>[5,8,7,4,1,3,6,2]
[4,3,2,8,5,1,6,7]=>[5,3,4,2,8,1,6,7]
[3,7,6,2,8,4,1,5]=>[4,8,3,6,2,7,1,5]
[3,7,6,1,5,2,8,4]=>[6,5,3,7,4,8,2,1]
[3,7,6,5,8,4,1,2]=>[4,1,3,8,6,7,5,2]
[1,7,6,2,5,8,4,3]=>[1,6,4,7,3,8,5,2]
[1,7,6,5,8,4,2,3]=>[1,4,2,8,6,7,5,3]
[3,7,6,5,8,1,2,4]=>[8,1,3,2,6,7,5,4]
[3,7,6,2,8,4,5,1]=>[5,6,3,7,2,8,4,1]
[4,3,6,8,5,1,2,7]=>[5,1,4,3,8,6,2,7]
[3,7,6,1,5,4,8,2]=>[6,7,3,5,2,8,4,1]
[4,7,2,6,8,5,1,3]=>[5,8,2,4,7,1,6,3]
[2,7,1,5,8,4,3,6]=>[7,2,4,8,1,3,5,6]
[2,7,6,1,8,4,3,5]=>[6,2,4,7,1,8,3,5]
[7,1,2,6,3,5,4,8]=>[7,1,6,5,3,2,4,8]
[6,2,7,5,8,4,3,1]=>[3,4,8,6,7,2,5,1]
[7,2,5,1,4,6,3,8]=>[5,7,6,1,2,4,3,8]
[7,1,5,4,3,6,2,8]=>[7,6,4,5,1,3,2,8]
[7,2,6,3,4,5,1,8]=>[5,7,6,3,4,2,1,8]
[7,4,3,1,5,2,6,8]=>[3,4,7,5,1,2,6,8]
[6,7,8,4,2,5,3,1]=>[3,5,4,8,1,6,7,2]
[6,1,2,5,7,8,4,3]=>[6,1,4,8,2,5,7,3]
[3,7,8,6,2,5,1,4]=>[5,6,3,1,2,8,7,4]
[3,6,1,4,8,7,5,2]=>[6,5,3,1,7,4,8,2]
[4,1,2,7,8,5,3,6]=>[4,1,5,2,8,3,7,6]
[4,7,3,1,6,2,8,5]=>[3,7,6,4,8,2,1,5]
[4,7,3,1,2,6,8,5]=>[3,1,7,4,8,2,6,5]
[3,6,4,5,8,1,7,2]=>[8,7,3,6,4,5,1,2]
[3,7,6,1,5,8,2,4]=>[6,7,3,1,2,8,5,4]
[2,7,6,5,4,1,8,3]=>[4,2,5,6,7,8,3,1]
[2,7,1,8,5,3,6,4]=>[7,2,5,8,6,4,1,3]
[3,8,5,4,6,7,1,2]=>[7,1,3,5,8,4,6,2]
[3,8,5,6,4,2,7,1]=>[7,4,3,6,8,5,2,1]
[1,2,6,4,3,5,8,7]=>[1,2,4,6,3,5,8,7]
[3,2,6,4,7,8,5,1]=>[5,3,2,8,6,1,7,4]
[4,2,7,5,8,3,1,6]=>[3,8,4,1,7,2,5,6]
[4,2,7,1,3,8,6,5]=>[7,4,1,2,6,8,3,5]
[4,8,1,6,2,7,5,3]=>[8,6,5,4,7,1,2,3]
[5,7,2,3,1,4,6,8]=>[3,7,2,1,5,4,6,8]
[6,5,1,3,2,7,4,8]=>[5,3,1,6,7,4,2,8]
[6,5,2,3,1,7,4,8]=>[3,5,2,6,7,4,1,8]
[6,1,8,4,2,7,5,3]=>[6,4,8,5,7,1,3,2]
[5,7,2,3,8,4,1,6]=>[4,8,1,7,5,2,3,6]
[5,2,1,4,7,8,3,6]=>[2,5,8,1,4,3,7,6]
[5,6,2,7,3,4,8,1]=>[8,6,7,3,5,2,4,1]
[6,1,3,8,5,4,7,2]=>[6,7,1,5,8,3,4,2]
[3,7,8,6,1,2,4,5]=>[6,1,3,2,4,8,7,5]
[2,7,6,8,5,1,3,4]=>[5,2,1,3,8,7,6,4]
[2,7,8,6,1,5,4,3]=>[6,2,4,5,1,8,7,3]
[2,7,6,8,5,3,1,4]=>[3,2,5,1,8,7,6,4]
[4,7,6,8,2,1,3,5]=>[2,8,1,4,3,7,6,5]
[4,7,8,6,1,3,2,5]=>[6,3,1,4,2,8,7,5]
[1,7,8,6,5,2,3,4]=>[1,5,2,3,6,8,7,4]
[5,7,4,6,3,1,2,8]=>[3,1,6,7,5,4,2,8]
[5,6,1,8,3,7,4,2]=>[6,4,7,8,5,1,2,3]
[4,7,6,8,1,2,3,5]=>[8,1,2,4,3,7,6,5]
[2,8,4,1,5,7,3,6]=>[4,2,8,7,3,1,5,6]
[1,5,8,6,4,2,3,7]=>[1,4,2,6,5,8,3,7]
[2,8,5,7,4,3,6,1]=>[6,2,4,7,8,3,5,1]
[2,8,6,4,5,3,1,7]=>[3,2,5,6,4,8,1,7]
[2,8,4,6,3,1,7,5]=>[3,2,6,8,7,4,1,5]
[2,8,6,5,1,4,7,3]=>[5,2,6,1,8,7,4,3]
[2,8,4,3,1,6,7,5]=>[3,2,4,8,7,1,6,5]
[1,2,8,7,4,3,5,6]=>[1,2,4,7,3,5,8,6]
[1,4,6,2,5,7,8,3]=>[1,6,8,4,2,5,7,3]
[2,4,8,6,3,5,7,1]=>[7,2,6,4,3,8,5,1]
[4,6,8,1,3,2,5,7]=>[8,3,1,4,2,6,5,7]
[2,5,8,6,4,1,7,3]=>[4,2,6,8,5,7,1,3]
[2,4,6,1,5,7,3,8]=>[6,2,7,4,1,5,3,8]
[2,5,6,8,7,4,1,3]=>[4,2,1,7,5,6,8,3]
[5,7,2,3,6,1,4,8]=>[6,7,2,1,5,3,4,8]
[3,2,7,4,1,8,5,6]=>[4,3,2,7,8,5,1,6]
[1,6,2,3,5,8,7,4]=>[1,6,2,7,3,5,8,4]
[1,7,2,3,6,5,8,4]=>[1,7,2,8,6,3,5,4]
[4,7,2,3,5,6,8,1]=>[8,7,2,4,3,5,6,1]
[4,7,2,3,1,6,8,5]=>[3,7,2,4,8,1,6,5]
[4,7,2,3,1,5,6,8]=>[3,7,2,4,1,5,6,8]
[6,7,3,1,5,4,8,2]=>[3,7,8,5,2,6,4,1]
[7,4,6,2,8,3,5,1]=>[5,6,8,7,3,4,2,1]
[7,3,5,1,4,8,2,6]=>[5,8,7,1,3,2,4,6]
[7,2,5,1,4,8,6,3]=>[5,7,6,1,2,8,4,3]
[3,4,6,5,1,2,7,8]=>[5,1,3,4,6,2,7,8]
[1,2,7,4,5,8,6,3]=>[1,2,6,8,3,7,5,4]
[1,5,3,6,8,4,2,7]=>[1,4,8,5,2,6,3,7]
[7,5,4,3,8,6,2,1]=>[2,6,4,5,8,7,1,3]
[6,7,5,1,3,4,2,8]=>[5,4,1,3,7,6,2,8]
[4,3,8,2,6,7,5,1]=>[5,7,4,3,8,1,6,2]
[4,3,8,2,5,7,1,6]=>[7,8,4,3,2,1,5,6]
[5,7,4,3,6,1,2,8]=>[6,1,4,7,5,3,2,8]
[1,4,3,8,7,6,2,5]=>[1,6,4,3,2,7,8,5]
[4,1,6,2,5,3,7,8]=>[4,6,5,1,2,3,7,8]
[5,1,8,6,4,7,2,3]=>[5,7,2,6,1,8,4,3]
[4,1,8,5,6,3,7,2]=>[4,7,6,1,8,5,3,2]
[4,2,6,1,5,3,8,7]=>[6,4,5,2,1,3,8,7]
[6,7,2,3,1,5,8,4]=>[3,7,2,8,1,6,5,4]
[1,5,2,3,8,6,4,7]=>[1,5,2,6,3,8,4,7]
[7,5,2,3,8,1,6,4]=>[8,5,2,7,6,1,4,3]
[6,7,2,3,5,1,4,8]=>[5,7,2,1,3,6,4,8]
[5,2,7,8,6,1,3,4]=>[6,5,1,3,2,8,7,4]
[2,1,7,8,6,3,5,4]=>[2,1,6,5,3,8,7,4]
[6,5,2,3,8,1,7,4]=>[8,5,2,6,7,4,1,3]
[7,5,2,3,8,4,1,6]=>[4,8,1,5,7,2,3,6]
[8,7,4,6,2,1,3,5]=>[2,6,1,7,3,4,8,5]
[4,5,1,7,6,3,8,2]=>[5,8,6,4,1,7,3,2]
[7,8,2,4,1,6,3,5]=>[4,8,6,2,3,1,7,5]
[6,7,1,5,4,8,2,3]=>[7,8,2,5,1,6,4,3]
[1,8,7,5,2,3,6,4]=>[1,5,2,7,6,4,8,3]
[8,1,7,5,2,3,4,6]=>[8,5,2,3,7,4,1,6]
[8,6,3,1,4,2,5,7]=>[3,6,4,2,1,8,5,7]
[4,5,1,6,2,8,7,3]=>[5,6,7,4,1,2,8,3]
[4,5,1,3,8,7,6,2]=>[5,6,1,4,3,7,8,2]
[4,8,3,6,1,7,2,5]=>[6,7,8,4,2,3,1,5]
[6,2,7,8,3,4,5,1]=>[5,6,8,3,4,2,7,1]
[8,5,6,1,7,4,3,2]=>[6,3,4,7,8,5,1,2]
[1,2,4,6,8,5,7,3]=>[1,2,7,4,8,6,5,3]
[2,1,7,5,8,6,3,4]=>[2,1,6,3,8,7,4,5]
[4,7,3,8,6,5,2,1]=>[2,5,6,4,8,7,3,1]
[3,8,7,4,6,5,1,2]=>[5,1,3,6,7,2,8,4]
[7,3,8,4,6,5,1,2]=>[5,1,6,7,8,2,4,3]
[7,4,3,6,5,8,1,2]=>[8,1,4,7,6,3,5,2]
[4,5,8,7,2,6,1,3]=>[6,7,1,4,5,2,8,3]
[3,8,6,7,5,1,4,2]=>[5,4,3,1,7,8,6,2]
[4,2,7,6,5,8,3,1]=>[3,8,4,1,6,7,5,2]
[4,6,7,8,5,2,3,1]=>[3,5,2,4,8,6,7,1]
[4,5,3,8,2,7,6,1]=>[6,7,5,4,3,8,1,2]
[3,8,5,4,1,7,6,2]=>[4,5,3,8,6,7,1,2]
[6,4,7,2,5,8,3,1]=>[3,8,7,6,1,4,5,2]
[6,3,8,7,5,1,4,2]=>[5,4,7,3,6,1,8,2]
[5,3,6,4,1,2,8,7]=>[4,1,6,5,2,3,8,7]
[6,8,4,3,5,7,1,2]=>[7,1,4,8,3,6,5,2]
[5,2,4,8,7,6,1,3]=>[6,5,1,2,4,7,8,3]
[1,8,3,5,4,2,6,7]=>[1,4,5,8,2,3,6,7]
[1,8,2,5,4,3,6,7]=>[1,8,4,5,2,3,6,7]
[3,2,4,5,1,8,6,7]=>[5,3,2,4,1,8,6,7]
[3,2,4,8,5,1,7,6]=>[5,3,2,4,8,7,1,6]
[5,2,4,1,7,8,3,6]=>[4,5,8,2,1,3,7,6]
[4,2,5,1,7,8,3,6]=>[5,4,8,2,1,3,7,6]
[2,5,4,1,3,8,6,7]=>[4,2,1,5,3,8,6,7]
[2,5,1,4,8,3,6,7]=>[5,2,8,1,4,3,6,7]
[1,4,5,3,8,2,6,7]=>[1,8,5,4,3,2,6,7]
[5,1,8,2,4,3,6,7]=>[5,8,4,2,1,3,6,7]
[5,3,2,8,4,1,6,7]=>[4,3,8,5,1,2,6,7]
[4,8,2,1,5,3,6,7]=>[2,8,5,4,1,3,6,7]
[1,5,4,8,2,3,6,7]=>[1,8,2,5,4,3,6,7]
[3,5,1,4,7,8,2,6]=>[5,8,3,1,4,2,7,6]
[4,8,3,1,6,7,2,5]=>[3,8,7,4,1,2,6,5]
[3,4,8,2,6,5,7,1]=>[7,8,3,4,6,2,5,1]
[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]
[1,8,7,2,5,3,6,4]=>[1,7,5,6,2,3,8,4]
[7,4,6,5,3,8,2,1]=>[2,8,5,6,7,3,4,1]
[3,6,2,4,8,7,1,5]=>[7,6,3,2,1,4,8,5]
[4,7,3,2,6,8,1,5]=>[8,3,7,4,1,2,6,5]
[7,3,4,6,8,1,2,5]=>[8,1,7,3,2,4,6,5]
[3,6,7,2,5,8,1,4]=>[8,7,3,1,2,6,5,4]
[1,5,6,8,3,7,2,4]=>[1,7,8,2,5,6,3,4]
[1,6,5,8,3,7,2,4]=>[1,7,8,2,6,5,3,4]
[8,6,2,7,1,4,3,5]=>[7,6,4,1,3,8,2,5]
[7,8,4,6,3,1,5,2]=>[3,6,5,8,2,4,7,1]
[6,1,5,8,3,4,7,2]=>[6,7,8,3,1,5,4,2]
[5,6,8,1,3,4,7,2]=>[8,7,1,3,5,6,4,2]
[2,8,5,6,3,4,7,1]=>[7,2,6,3,8,5,4,1]
[6,8,1,3,5,4,7,2]=>[8,7,1,5,3,6,4,2]
[8,1,6,3,5,4,7,2]=>[8,7,6,5,3,1,4,2]
[1,8,7,3,6,4,5,2]=>[1,5,7,6,4,3,8,2]
[7,4,2,8,3,6,5,1]=>[5,4,6,7,8,1,2,3]
[7,1,2,5,8,4,6,3]=>[7,1,6,8,2,4,5,3]
[2,8,1,4,7,3,6,5]=>[8,2,7,1,6,3,4,5]
[4,2,8,6,1,5,7,3]=>[6,4,8,2,3,7,5,1]
[6,2,4,8,1,7,3,5]=>[8,6,7,2,3,4,1,5]
[8,2,6,1,4,5,7,3]=>[6,8,7,1,4,2,5,3]
[3,1,7,8,5,4,6,2]=>[3,6,1,5,8,4,7,2]
[1,6,2,7,4,8,5,3]=>[1,6,5,8,7,2,3,4]
[2,7,1,8,4,3,5,6]=>[7,2,4,8,3,5,1,6]
[6,7,1,8,3,2,4,5]=>[7,3,8,2,4,6,1,5]
[6,2,4,7,3,8,1,5]=>[8,6,7,2,1,4,3,5]
[8,3,6,7,4,1,5,2]=>[4,7,5,8,2,1,6,3]
[6,8,2,3,7,1,5,4]=>[7,8,2,5,1,6,3,4]
[6,1,8,3,7,4,2,5]=>[6,4,7,8,3,1,2,5]
[1,5,8,3,6,7,2,4]=>[1,7,8,2,5,3,6,4]
[2,7,6,3,5,8,1,4]=>[8,2,6,1,3,7,5,4]
[2,7,5,6,8,1,3,4]=>[8,2,1,3,7,5,6,4]
[1,6,5,7,4,8,2,3]=>[1,8,2,7,6,5,4,3]
[7,6,2,8,1,5,3,4]=>[8,6,5,3,1,7,2,4]
[6,7,2,8,1,3,4,5]=>[8,7,1,3,4,6,2,5]
[5,1,6,8,7,2,3,4]=>[5,7,2,3,1,6,8,4]
[1,5,7,6,8,2,3,4]=>[1,8,2,3,5,7,6,4]
[3,5,6,1,4,2,8,7]=>[6,4,3,1,5,2,8,7]
[3,7,8,2,4,6,5,1]=>[5,6,3,1,8,4,7,2]
[7,4,6,8,5,3,1,2]=>[3,1,5,8,7,2,6,4]
[8,4,6,7,3,2,1,5]=>[2,3,7,8,1,4,6,5]
[4,2,7,8,1,5,6,3]=>[8,4,6,2,1,5,7,3]
[2,1,5,7,8,3,6,4]=>[2,1,8,6,5,3,7,4]
[2,4,7,8,1,5,6,3]=>[8,2,6,4,1,5,7,3]
[2,6,3,5,7,8,4,1]=>[4,2,8,6,1,5,7,3]
[4,6,2,5,7,1,8,3]=>[7,6,8,4,2,5,1,3]
[5,1,6,7,3,8,2,4]=>[5,8,7,2,1,6,3,4]
[3,8,6,7,5,1,2,4]=>[5,1,3,2,7,8,6,4]
[4,7,5,8,6,3,1,2]=>[3,1,6,4,8,7,2,5]
[4,7,1,8,3,5,6,2]=>[7,6,8,4,3,5,1,2]
[1,6,8,3,2,5,4,7]=>[1,3,8,5,2,6,4,7]
[6,1,5,4,7,3,2,8]=>[6,3,7,5,1,4,2,8]
[6,1,5,2,3,7,4,8]=>[6,5,2,7,1,3,4,8]
[7,8,2,1,3,6,4,5]=>[2,8,1,6,4,3,7,5]
[7,8,5,1,3,2,6,4]=>[5,3,1,8,6,4,7,2]
[6,1,7,5,4,3,2,8]=>[6,3,4,5,7,1,2,8]
[5,1,6,8,2,3,7,4]=>[5,8,2,7,1,6,3,4]
[2,6,8,1,5,4,7,3]=>[8,2,7,5,1,6,4,3]
[1,5,4,7,6,2,8,3]=>[1,6,7,5,4,8,3,2]
[2,3,7,6,5,1,8,4]=>[5,2,3,6,7,8,1,4]
[7,5,2,1,6,4,3,8]=>[2,5,4,7,6,3,1,8]
[5,7,2,4,3,1,8,6]=>[3,4,7,1,5,8,2,6]
[6,7,1,3,4,2,8,5]=>[7,4,1,3,8,6,2,5]
[4,3,5,8,6,7,1,2]=>[7,1,4,3,5,8,6,2]
[6,1,5,8,3,2,7,4]=>[6,3,8,7,1,5,2,4]
[3,1,2,4,8,5,7,6]=>[3,1,2,4,8,7,5,6]
[2,5,8,4,6,3,1,7]=>[3,2,6,8,5,4,1,7]
[3,2,5,8,4,1,6,7]=>[4,3,2,8,5,1,6,7]
[1,4,5,8,7,3,2,6]=>[1,3,7,4,5,2,8,6]
[7,1,5,4,8,3,2,6]=>[7,3,8,5,1,2,4,6]
[6,4,1,7,5,3,2,8]=>[4,3,6,5,7,2,1,8]
[5,2,7,4,6,3,1,8]=>[3,6,5,7,1,4,2,8]
[2,7,1,5,3,8,4,6]=>[7,2,5,8,1,4,3,6]
[2,7,6,4,8,1,5,3]=>[8,2,5,6,1,7,4,3]
[7,2,5,4,8,1,6,3]=>[8,7,6,5,2,1,4,3]
[1,7,2,5,3,8,6,4]=>[1,7,5,6,2,8,3,4]
[7,2,1,4,3,8,5,6]=>[2,7,4,1,8,5,3,6]
[5,4,2,1,3,8,6,7]=>[2,4,1,5,3,8,6,7]
[6,1,4,2,3,8,7,5]=>[6,4,2,1,7,3,8,5]
[7,1,6,5,3,2,8,4]=>[7,3,5,6,8,1,4,2]
[7,2,3,8,6,1,5,4]=>[6,8,1,5,2,7,3,4]
[7,2,3,8,6,1,4,5]=>[6,8,1,2,4,7,3,5]
[6,2,4,8,1,3,7,5]=>[8,6,1,2,7,4,3,5]
[7,3,2,8,4,1,6,5]=>[4,3,8,7,6,2,1,5]
[7,3,2,5,8,1,6,4]=>[8,3,7,6,2,1,5,4]
[7,8,3,2,6,1,5,4]=>[6,3,8,5,1,2,7,4]
[6,3,4,8,1,5,2,7]=>[8,5,6,3,1,4,2,7]
[6,3,4,8,1,5,7,2]=>[8,7,6,3,1,4,5,2]
[5,3,8,4,1,2,6,7]=>[4,1,8,5,2,3,6,7]
[2,4,8,3,7,1,5,6]=>[7,2,8,4,1,5,3,6]
[5,2,8,4,1,6,3,7]=>[4,8,5,6,3,2,1,7]
[7,6,5,2,1,8,3,4]=>[2,5,6,3,7,8,1,4]
[7,6,5,2,1,8,4,3]=>[2,5,4,6,7,8,1,3]
[2,7,5,1,8,3,6,4]=>[5,2,7,8,6,4,3,1]
[5,1,8,7,4,3,6,2]=>[5,6,4,7,1,3,8,2]
[3,8,7,2,4,6,1,5]=>[6,7,3,2,1,4,8,5]
[5,7,1,3,2,4,8,6]=>[7,3,1,2,5,8,4,6]
[4,2,7,6,3,5,8,1]=>[8,4,6,2,3,7,5,1]
[8,4,7,6,3,5,1,2]=>[5,1,6,7,4,8,3,2]
[8,1,7,4,2,3,5,6]=>[8,4,2,7,3,5,1,6]
[6,5,1,3,8,7,4,2]=>[5,4,2,6,7,3,8,1]
[4,7,8,3,2,5,1,6]=>[5,3,8,4,2,1,7,6]
[6,1,8,5,3,7,2,4]=>[6,7,5,2,8,1,3,4]
[5,1,6,8,3,7,4,2]=>[5,4,7,8,1,6,2,3]
[8,6,5,1,7,4,3,2]=>[5,3,4,6,8,7,1,2]
[7,6,4,1,3,5,8,2]=>[4,6,1,7,3,8,5,2]
[8,2,3,7,1,4,5,6]=>[7,8,2,1,4,5,3,6]
[2,8,3,7,1,4,5,6]=>[7,2,8,1,4,5,3,6]
[5,6,2,7,4,3,1,8]=>[3,4,7,6,5,2,1,8]
[8,6,2,7,4,1,3,5]=>[4,7,2,6,3,8,1,5]
[3,4,7,6,2,5,1,8]=>[5,6,3,4,2,7,1,8]
[3,4,7,5,2,6,1,8]=>[6,5,3,4,7,2,1,8]
[3,4,7,2,5,6,1,8]=>[6,7,3,4,2,5,1,8]
[3,7,8,2,6,1,4,5]=>[6,8,3,1,4,2,7,5]
[3,7,8,5,2,1,4,6]=>[2,5,3,1,8,4,7,6]
[6,8,4,7,3,1,2,5]=>[3,1,7,8,2,6,4,5]
[3,2,7,8,4,1,5,6]=>[4,3,2,8,1,5,7,6]
[6,8,4,7,3,1,5,2]=>[3,7,5,8,2,6,4,1]
[3,7,8,2,6,1,5,4]=>[6,8,3,5,1,2,7,4]
[4,8,6,2,1,7,5,3]=>[2,6,5,4,8,7,3,1]
[4,7,6,2,1,5,8,3]=>[2,6,7,4,3,8,5,1]
[4,7,6,2,1,5,3,8]=>[2,6,5,4,1,7,3,8]
[4,8,6,5,1,2,7,3]=>[5,1,6,4,8,7,2,3]
[7,5,4,6,1,8,3,2]=>[6,3,8,5,7,4,1,2]
[7,5,4,6,1,8,2,3]=>[6,8,2,5,7,4,1,3]
[4,8,6,5,1,2,3,7]=>[5,1,2,4,6,8,3,7]
[3,4,5,1,8,6,2,7]=>[5,6,3,4,1,8,2,7]
[3,4,5,1,7,8,6,2]=>[5,6,3,4,1,8,7,2]
[3,4,5,1,7,6,8,2]=>[5,8,3,4,1,7,6,2]
[3,8,7,6,5,1,2,4]=>[5,1,3,2,6,7,8,4]
[8,4,6,7,1,2,5,3]=>[7,1,5,8,2,4,6,3]
[5,7,2,6,1,8,4,3]=>[6,7,4,8,5,2,1,3]
[5,7,2,6,1,3,8,4]=>[6,7,1,8,5,2,3,4]
[5,8,2,6,1,4,7,3]=>[6,8,7,1,5,2,4,3]
[7,4,6,8,1,3,2,5]=>[8,3,1,7,2,4,6,5]
[7,4,6,8,1,3,5,2]=>[8,5,1,7,3,4,6,2]
[3,8,7,5,6,1,4,2]=>[6,4,3,1,7,5,8,2]
[6,8,4,7,2,1,5,3]=>[2,7,5,8,1,6,4,3]
[3,2,5,6,1,7,4,8]=>[6,3,2,7,5,1,4,8]
[8,4,6,5,1,7,3,2]=>[5,3,6,7,8,1,2,4]
[3,4,5,1,7,6,2,8]=>[5,6,3,4,1,7,2,8]
[7,4,6,5,1,3,8,2]=>[5,6,2,8,7,1,3,4]
[8,5,4,6,1,3,2,7]=>[6,3,1,5,8,4,2,7]
[3,2,5,6,1,4,8,7]=>[6,3,2,1,5,4,8,7]
[8,5,4,6,1,3,7,2]=>[6,7,1,5,8,4,3,2]
[1,7,3,4,5,2,8,6]=>[1,5,7,3,4,8,2,6]
[4,8,2,1,3,5,6,7]=>[2,8,1,4,3,5,6,7]
[1,7,2,5,4,3,8,6]=>[1,7,4,5,2,8,3,6]
[2,6,7,3,4,8,1,5]=>[8,2,7,3,1,6,4,5]
[2,1,5,7,4,3,8,6]=>[2,1,4,7,5,8,3,6]
[4,1,8,7,5,6,2,3]=>[4,6,2,1,7,5,8,3]
[1,5,8,7,4,3,6,2]=>[1,6,4,7,5,3,8,2]
[6,4,1,3,8,7,5,2]=>[4,6,2,5,7,3,8,1]
[2,1,7,4,6,8,3,5]=>[2,1,8,7,3,4,6,5]
[1,7,2,4,6,8,3,5]=>[1,7,8,2,3,4,6,5]
[8,6,4,2,7,3,5,1]=>[5,4,6,8,3,7,2,1]
[7,4,6,1,2,3,8,5]=>[6,1,2,7,8,4,3,5]
[1,8,6,2,7,3,5,4]=>[1,6,8,5,2,7,3,4]
[1,7,8,6,2,3,5,4]=>[1,6,2,5,3,8,7,4]
[2,1,8,3,5,7,6,4]=>[2,1,8,6,3,7,5,4]
[3,5,8,1,7,6,2,4]=>[8,6,3,2,5,7,1,4]
[2,8,1,3,6,7,5,4]=>[8,2,1,5,7,3,6,4]
[7,2,4,8,6,1,5,3]=>[6,8,5,1,2,7,4,3]
[1,7,5,8,3,6,2,4]=>[1,6,8,2,7,3,5,4]
[6,4,3,2,8,1,7,5]=>[8,3,4,6,7,2,1,5]
[6,2,4,3,8,1,7,5]=>[8,6,4,2,7,3,1,5]
[5,7,4,3,1,6,2,8]=>[3,4,7,6,5,1,2,8]
[5,8,4,3,1,6,7,2]=>[3,4,8,7,5,1,6,2]
[4,2,8,1,5,7,6,3]=>[8,4,6,2,1,7,5,3]
[8,3,5,4,2,6,1,7]=>[6,4,5,8,2,3,1,7]
[6,3,7,2,5,4,8,1]=>[8,7,6,5,2,3,4,1]
[5,4,7,3,2,6,8,1]=>[8,3,7,5,4,2,6,1]
[3,7,6,4,2,5,8,1]=>[8,4,3,6,2,7,5,1]
[5,7,2,6,3,4,8,1]=>[8,7,6,3,5,2,4,1]
[3,7,5,4,6,2,8,1]=>[8,6,3,5,7,4,2,1]
[2,7,5,4,6,8,3,1]=>[3,2,8,5,7,4,6,1]
[8,2,5,4,6,3,1,7]=>[3,6,8,5,1,4,2,7]
[3,7,5,4,2,8,6,1]=>[6,4,3,5,8,7,1,2]
[5,7,2,3,6,8,4,1]=>[4,8,1,7,5,3,6,2]
[3,7,2,6,5,8,4,1]=>[4,8,3,7,6,1,5,2]
[5,4,2,7,6,8,3,1]=>[3,8,4,5,1,7,6,2]
[5,8,1,7,3,4,2,6]=>[8,4,7,3,5,2,1,6]
[6,8,3,2,1,7,4,5]=>[2,3,8,7,4,6,1,5]
[4,8,5,1,7,3,2,6]=>[5,3,8,4,7,1,2,6]
[4,8,1,7,5,3,2,6]=>[8,3,5,4,7,2,1,6]
[5,4,8,2,6,3,1,7]=>[3,6,8,5,4,1,2,7]
[3,7,6,2,8,1,5,4]=>[8,6,3,5,1,7,2,4]
[7,5,2,8,1,3,6,4]=>[8,5,1,7,6,3,4,2]
[5,4,3,7,2,8,6,1]=>[6,8,4,5,3,7,1,2]
[4,3,7,6,2,8,5,1]=>[5,8,4,3,6,7,1,2]
[6,3,2,5,8,7,4,1]=>[4,3,7,6,1,5,8,2]
[7,3,5,2,8,1,6,4]=>[8,5,7,6,3,1,2,4]
[8,3,5,2,6,4,1,7]=>[4,6,5,8,1,3,2,7]
[8,4,3,2,6,5,1,7]=>[5,3,4,6,8,1,2,7]
[3,6,5,2,8,7,4,1]=>[4,7,3,5,6,1,8,2]
[3,6,5,7,2,8,4,1]=>[4,8,3,7,6,5,1,2]
[4,6,5,3,8,2,1,7]=>[2,8,5,4,6,3,1,7]
[2,6,5,8,7,3,1,4]=>[3,2,7,1,6,5,8,4]
[2,6,5,8,4,3,7,1]=>[7,2,4,8,6,5,3,1]
[8,2,6,5,3,1,4,7]=>[3,5,6,1,8,2,4,7]
[6,3,8,4,1,7,2,5]=>[4,8,7,6,3,1,2,5]
[7,2,8,1,6,4,3,5]=>[8,7,4,6,3,1,2,5]
[3,2,8,7,6,4,1,5]=>[4,3,2,6,1,7,8,5]
[5,4,2,8,7,3,1,6]=>[3,7,4,5,1,2,8,6]
[3,6,8,5,1,7,2,4]=>[5,8,3,1,7,6,2,4]
[8,2,6,4,3,5,1,7]=>[5,8,4,6,3,2,1,7]
[3,7,2,8,5,4,6,1]=>[6,7,3,5,8,4,2,1]
[5,4,2,8,6,3,7,1]=>[7,4,5,6,3,8,2,1]
[2,8,7,5,3,1,4,6]=>[3,2,5,1,7,4,8,6]
[2,5,6,3,1,4,8,7]=>[3,2,6,1,5,4,8,7]
[2,4,7,8,5,3,1,6]=>[3,2,5,4,8,1,7,6]
[2,4,3,7,8,5,1,6]=>[5,2,4,3,8,1,7,6]
[6,3,4,5,1,2,8,7]=>[5,1,6,3,4,2,8,7]
[6,5,3,2,4,1,8,7]=>[4,3,5,2,6,1,8,7]
[6,5,8,7,3,2,4,1]=>[4,3,7,2,6,5,8,1]
[6,3,2,4,1,7,8,5]=>[4,3,6,2,8,1,7,5]
[2,1,4,7,8,5,3,6]=>[2,1,5,4,8,3,7,6]
[8,3,6,4,7,5,1,2]=>[5,1,7,8,6,4,2,3]
[8,3,1,6,5,7,4,2]=>[3,8,4,7,6,2,5,1]
[8,5,6,7,3,1,4,2]=>[3,7,4,2,8,5,6,1]
[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,1,8,2]
[4,8,7,5,3,2,6,1]=>[6,3,5,4,7,2,8,1]
[4,7,8,5,3,1,6,2]=>[3,5,8,4,6,1,7,2]
[8,5,3,1,4,6,7,2]=>[3,5,8,1,7,4,6,2]
[8,3,4,6,5,7,1,2]=>[7,1,8,3,6,4,5,2]
[8,5,3,6,4,7,1,2]=>[7,1,5,8,6,4,3,2]
[8,5,1,6,4,3,7,2]=>[5,8,4,7,6,2,1,3]
[6,1,4,3,7,8,2,5]=>[6,8,4,1,2,3,7,5]
[6,3,4,7,8,1,2,5]=>[8,1,6,3,2,4,7,5]
[7,3,6,5,8,1,2,4]=>[8,1,7,2,6,3,5,4]
[6,5,3,2,4,8,7,1]=>[7,3,5,2,6,4,8,1]
[2,5,7,1,6,8,3,4]=>[7,2,8,3,5,1,6,4]
[6,1,2,7,5,8,3,4]=>[6,1,8,3,7,2,5,4]
[7,1,2,4,6,8,3,5]=>[7,1,8,2,3,4,6,5]
[3,7,1,2,4,6,8,5]=>[7,1,3,2,8,4,6,5]
[2,4,1,7,3,6,8,5]=>[4,2,7,1,8,3,6,5]
[2,4,3,6,1,7,8,5]=>[6,2,4,3,8,1,7,5]
[2,7,3,1,4,6,8,5]=>[3,2,7,1,8,4,6,5]
[2,8,3,1,6,5,7,4]=>[3,2,8,7,6,1,5,4]
[2,8,5,6,7,3,1,4]=>[3,2,7,1,8,5,6,4]
[2,7,8,5,3,1,6,4]=>[3,2,5,8,6,4,7,1]
[8,2,4,6,1,5,7,3]=>[6,8,7,2,1,4,5,3]
[5,8,1,6,2,4,7,3]=>[8,6,7,2,5,1,4,3]
[3,8,5,6,7,1,2,4]=>[7,1,3,2,8,5,6,4]
[6,5,1,2,8,4,7,3]=>[5,1,6,7,8,3,2,4]
[6,1,2,4,8,5,7,3]=>[6,1,7,2,8,4,5,3]
[2,5,8,1,4,6,7,3]=>[8,2,7,1,5,4,6,3]
[2,4,5,8,7,3,6,1]=>[6,2,7,4,5,3,8,1]
[7,1,4,2,6,8,5,3]=>[7,4,5,1,8,2,6,3]
[7,1,8,5,2,4,6,3]=>[7,5,8,3,6,4,1,2]
[2,1,8,7,5,4,6,3]=>[2,1,6,5,7,4,8,3]
[4,8,1,7,5,3,6,2]=>[8,6,5,4,7,3,1,2]
[8,1,7,5,3,4,6,2]=>[8,6,5,3,7,4,1,2]
[8,1,4,3,6,7,5,2]=>[8,5,4,1,7,3,6,2]
[7,8,3,4,1,6,5,2]=>[4,5,6,2,8,1,7,3]
[8,7,3,4,2,6,5,1]=>[5,4,6,1,7,2,8,3]
[8,4,5,2,3,7,1,6]=>[7,5,2,8,4,1,3,6]
[4,7,2,8,6,3,1,5]=>[3,6,8,4,1,7,2,5]
[4,7,5,2,3,8,1,6]=>[8,5,2,4,7,1,3,6]
[6,4,7,5,2,8,3,1]=>[3,8,5,7,6,1,4,2]
[7,5,1,3,6,4,8,2]=>[5,7,2,8,6,3,1,4]
[6,5,2,3,7,8,4,1]=>[4,8,1,5,6,3,7,2]
[7,2,6,3,1,5,8,4]=>[3,6,7,8,2,1,5,4]
[4,6,3,8,7,5,1,2]=>[5,1,7,4,6,2,8,3]
[2,8,4,1,5,7,6,3]=>[4,2,8,6,3,7,5,1]
[1,8,4,2,5,7,6,3]=>[1,4,8,6,3,7,5,2]
[2,8,5,4,1,7,6,3]=>[4,2,5,8,6,7,1,3]
[2,5,8,3,7,1,6,4]=>[7,2,8,6,5,1,3,4]
[1,8,5,2,4,7,6,3]=>[1,5,8,3,6,7,4,2]
[1,4,6,2,8,7,5,3]=>[1,6,5,4,7,2,8,3]
[7,8,2,4,1,6,5,3]=>[4,8,5,2,6,1,7,3]
[2,4,6,1,8,7,5,3]=>[6,2,5,4,7,1,8,3]
[2,8,4,5,1,7,6,3]=>[5,2,6,7,3,8,1,4]
[3,5,8,2,7,6,1,4]=>[6,7,3,2,5,8,1,4]
[2,1,6,8,7,5,3,4]=>[2,1,5,3,7,6,8,4]
[1,8,2,4,5,7,6,3]=>[1,8,6,2,4,7,5,3]
[1,2,8,3,5,7,6,4]=>[1,2,8,6,3,7,5,4]
[1,3,8,2,5,7,6,4]=>[1,8,3,6,2,7,5,4]
[2,3,8,1,5,7,6,4]=>[8,2,3,6,1,7,5,4]
[2,6,1,8,7,5,3,4]=>[6,2,5,3,7,1,8,4]
[1,6,2,8,7,5,3,4]=>[1,6,5,3,7,2,8,4]
[1,6,3,8,7,5,2,4]=>[1,5,7,3,6,2,8,4]
[2,6,3,8,7,5,1,4]=>[5,2,7,3,6,1,8,4]
[3,2,8,1,5,7,6,4]=>[8,3,2,6,1,7,5,4]
[3,1,8,2,5,7,6,4]=>[3,8,1,6,2,7,5,4]
[2,8,1,4,5,7,6,3]=>[8,2,6,1,4,7,5,3]
[7,8,2,1,4,6,5,3]=>[2,8,5,1,6,4,7,3]
[2,3,6,8,7,5,1,4]=>[5,2,3,1,7,6,8,4]
[3,1,6,8,7,2,5,4]=>[3,7,1,5,2,6,8,4]
[3,8,4,5,1,6,2,7]=>[5,6,3,8,4,1,2,7]
[6,1,4,5,7,2,3,8]=>[6,7,2,1,4,5,3,8]
[8,1,4,7,6,3,2,5]=>[8,3,6,1,2,7,4,5]
[8,3,1,6,4,7,2,5]=>[3,8,7,6,1,2,4,5]
[5,3,8,6,2,7,1,4]=>[7,6,5,1,3,8,2,4]
[8,3,6,1,5,7,2,4]=>[6,7,8,2,1,3,5,4]
[8,4,6,3,1,2,5,7]=>[3,1,6,8,2,4,5,7]
[1,8,5,3,7,2,4,6]=>[1,7,5,2,8,4,3,6]
[6,8,1,4,5,2,3,7]=>[8,5,2,1,4,6,3,7]
[1,5,8,4,6,2,3,7]=>[1,6,2,8,5,4,3,7]
[2,1,6,5,3,8,4,7]=>[2,1,5,6,8,4,3,7]
[1,4,6,8,5,2,3,7]=>[1,5,2,4,8,6,3,7]
[5,6,8,1,4,2,3,7]=>[8,4,2,1,5,6,3,7]
[5,7,4,8,1,2,3,6]=>[8,1,2,7,5,3,4,6]
[1,5,4,7,2,3,8,6]=>[1,7,2,5,4,8,3,6]
[4,7,5,1,8,2,3,6]=>[5,7,1,4,8,3,2,6]
[5,3,7,1,2,4,8,6]=>[7,1,5,2,3,8,4,6]
[8,2,1,5,3,7,4,6]=>[2,8,5,7,1,4,3,6]
[4,7,8,1,2,6,3,5]=>[8,1,6,4,3,2,7,5]
[8,7,1,5,6,2,3,4]=>[7,6,2,3,1,5,8,4]
[1,6,5,8,7,2,3,4]=>[1,7,2,3,6,5,8,4]
[8,6,2,1,3,4,7,5]=>[2,6,1,3,8,7,5,4]
[7,2,1,3,6,4,8,5]=>[2,7,1,6,8,3,4,5]
[3,7,1,6,2,4,8,5]=>[7,6,3,2,8,1,4,5]
[5,1,2,7,6,8,3,4]=>[5,1,8,3,2,7,6,4]
[6,1,7,2,5,8,3,4]=>[6,7,8,3,2,1,5,4]
[1,7,6,5,8,2,3,4]=>[1,8,2,3,6,7,5,4]
[1,6,8,5,7,2,3,4]=>[1,7,2,3,8,6,5,4]
[7,5,1,2,6,8,3,4]=>[5,1,7,2,8,3,6,4]
[6,1,5,2,7,8,3,4]=>[6,5,8,3,1,2,7,4]
[1,6,3,8,7,2,4,5]=>[1,7,6,2,4,3,8,5]
[1,7,3,2,4,6,8,5]=>[1,3,7,2,8,4,6,5]
[8,3,1,4,2,5,7,6]=>[3,8,4,2,1,7,5,6]
[4,1,8,3,2,7,5,6]=>[4,3,8,1,7,5,2,6]
[3,1,2,7,8,4,6,5]=>[3,1,2,8,6,4,7,5]
[3,8,1,2,7,6,4,5]=>[8,1,3,6,4,7,2,5]
[7,1,4,8,2,6,3,5]=>[7,8,6,1,3,2,4,5]
[5,1,2,6,8,7,3,4]=>[5,1,7,3,2,6,8,4]
[1,8,6,2,5,7,3,4]=>[1,6,8,2,3,7,5,4]
[5,7,8,1,2,6,3,4]=>[8,1,6,3,5,2,7,4]
[8,1,5,7,6,2,3,4]=>[8,6,2,3,1,7,5,4]
[7,1,6,8,5,2,3,4]=>[7,5,2,3,8,1,6,4]
[3,7,1,2,8,4,6,5]=>[7,1,3,8,6,4,2,5]
[7,2,1,8,3,4,6,5]=>[2,7,8,3,6,4,1,5]
[8,3,1,2,7,6,4,5]=>[3,1,8,6,4,7,2,5]
[1,5,8,7,6,2,3,4]=>[1,6,2,3,5,7,8,4]
[7,8,6,1,5,2,3,4]=>[6,5,2,3,1,8,7,4]
[7,8,6,3,1,5,2,4]=>[3,6,5,1,2,8,7,4]
[7,8,1,3,4,5,2,6]=>[8,5,1,3,4,2,7,6]
[1,7,4,8,2,5,3,6]=>[1,8,5,7,2,3,4,6]
[3,8,6,1,4,2,7,5]=>[6,4,3,1,8,7,5,2]
[7,1,8,2,4,6,3,5]=>[7,8,6,2,3,4,1,5]
[7,6,8,4,1,5,3,2]=>[4,3,8,5,2,7,6,1]
[7,3,2,8,1,5,4,6]=>[8,3,7,5,1,4,2,6]
[3,5,4,1,7,2,6,8]=>[4,5,3,7,2,1,6,8]
[6,4,7,3,2,5,1,8]=>[5,3,7,6,2,4,1,8]
[7,6,5,3,8,4,1,2]=>[4,1,8,5,6,7,2,3]
[6,4,5,7,8,1,3,2]=>[8,3,1,6,4,5,7,2]
[3,7,4,1,6,8,5,2]=>[4,7,3,5,8,2,6,1]
[3,1,2,7,6,8,5,4]=>[3,1,2,5,8,7,6,4]
[6,3,2,8,4,5,1,7]=>[5,3,6,8,4,2,1,7]
[6,1,8,3,5,4,2,7]=>[6,4,5,8,2,1,3,7]
[3,8,5,2,4,6,1,7]=>[6,5,3,2,8,4,1,7]
[1,6,4,8,3,5,2,7]=>[1,5,8,6,3,4,2,7]
[1,5,4,8,6,3,7,2]=>[1,7,6,5,4,8,3,2]
[4,8,2,5,3,7,1,6]=>[7,8,5,4,2,1,3,6]
[3,8,4,5,2,6,7,1]=>[7,5,3,8,4,2,6,1]
[4,1,8,6,5,3,7,2]=>[4,7,5,1,6,8,3,2]
[5,7,8,4,6,3,2,1]=>[2,3,6,8,5,4,7,1]
[5,3,2,8,6,4,7,1]=>[7,3,5,6,2,8,4,1]
[6,8,1,2,7,4,3,5]=>[8,1,4,7,3,6,2,5]
[5,8,7,3,6,2,4,1]=>[4,6,7,2,5,3,8,1]
[7,5,2,3,4,8,6,1]=>[6,5,1,3,8,7,4,2]
[7,3,5,4,2,8,6,1]=>[6,4,5,8,1,7,3,2]
[5,6,1,3,2,4,7,8]=>[6,3,1,2,5,4,7,8]
[2,5,1,3,7,8,6,4]=>[5,2,1,6,3,8,7,4]
[4,3,7,2,1,8,6,5]=>[2,7,4,3,6,8,1,5]
[4,6,7,2,1,3,5,8]=>[2,7,1,4,3,6,5,8]
[4,6,2,3,1,5,7,8]=>[3,6,2,4,1,5,7,8]
[3,6,4,2,5,1,7,8]=>[5,4,3,6,2,1,7,8]
[3,1,6,4,7,5,2,8]=>[3,5,1,7,6,2,4,8]
[3,6,2,7,5,4,1,8]=>[4,5,3,7,6,2,1,8]
[2,4,7,5,3,6,1,8]=>[6,2,5,4,7,3,1,8]
[2,5,7,3,4,1,6,8]=>[4,2,7,3,5,1,6,8]
[2,3,5,8,6,4,7,1]=>[7,2,3,6,5,8,4,1]
[2,4,7,3,8,6,5,1]=>[5,2,6,4,8,7,3,1]
[3,4,2,7,5,8,6,1]=>[6,4,3,2,8,7,1,5]
[3,1,5,4,7,8,6,2]=>[3,6,1,5,4,8,7,2]
[4,5,7,2,3,1,8,6]=>[3,7,2,4,5,8,1,6]
[3,7,8,1,4,6,5,2]=>[8,5,3,1,6,4,7,2]
[2,5,8,7,4,1,3,6]=>[4,2,1,7,5,3,8,6]
[2,6,4,7,5,3,8,1]=>[8,2,5,7,6,3,4,1]
[6,2,4,7,1,3,8,5]=>[7,6,1,2,8,4,3,5]
[7,3,5,1,4,2,8,6]=>[5,4,7,1,3,8,2,6]
[5,4,7,1,3,2,8,6]=>[7,3,1,5,4,8,2,6]
[6,1,4,7,5,3,8,2]=>[6,8,5,1,7,4,3,2]
[8,7,4,3,1,5,6,2]=>[3,4,7,6,1,5,8,2]
[8,7,1,4,3,5,6,2]=>[7,6,4,1,3,5,8,2]
[6,1,8,4,7,3,2,5]=>[6,3,7,8,2,1,4,5]
[4,7,3,6,1,2,8,5]=>[6,1,7,4,8,3,2,5]
[5,2,1,7,4,3,8,6]=>[2,5,4,7,1,8,3,6]
[4,7,6,2,3,1,8,5]=>[3,6,2,4,7,8,5,1]
[7,6,8,2,5,3,4,1]=>[4,8,5,3,2,7,6,1]
[2,3,6,1,8,7,5,4]=>[6,2,3,5,7,1,8,4]
[2,6,8,7,5,3,1,4]=>[3,2,5,1,7,6,8,4]
[6,4,1,7,5,2,8,3]=>[4,6,5,7,8,2,1,3]
[5,7,8,2,3,6,1,4]=>[6,8,2,1,5,3,7,4]
[4,8,7,1,2,5,6,3]=>[7,1,6,4,2,5,8,3]
[2,8,7,4,1,5,6,3]=>[4,2,7,6,3,5,8,1]
[8,6,2,1,5,7,4,3]=>[2,6,4,8,3,7,5,1]
[3,8,6,7,5,2,1,4]=>[2,5,3,1,7,8,6,4]
[6,1,3,7,5,8,2,4]=>[6,8,1,2,7,3,5,4]
[4,7,3,1,8,5,6,2]=>[3,7,6,4,8,5,2,1]
[2,6,7,5,3,4,8,1]=>[8,2,5,3,7,6,4,1]
[2,6,4,5,7,3,8,1]=>[8,2,7,6,4,5,3,1]
[6,1,4,5,8,3,7,2]=>[6,7,8,1,4,5,3,2]
[6,1,8,5,3,4,7,2]=>[6,7,5,3,8,1,4,2]
[4,1,5,6,8,3,7,2]=>[4,7,8,1,5,6,3,2]
[5,4,7,1,8,6,2,3]=>[7,6,2,5,4,8,1,3]
[6,4,1,8,7,2,5,3]=>[4,6,7,5,3,2,8,1]
[4,5,7,2,6,8,1,3]=>[8,7,1,4,5,2,6,3]
[2,8,5,4,1,7,3,6]=>[4,2,5,8,7,3,1,6]
[3,2,8,5,1,7,4,6]=>[5,3,2,8,7,1,4,6]
[1,3,8,5,2,7,4,6]=>[1,5,3,8,7,2,4,6]
[1,3,8,6,7,2,4,5]=>[1,7,3,2,4,8,6,5]
[2,8,3,6,7,1,4,5]=>[7,2,8,1,4,3,6,5]
[2,8,5,6,1,3,7,4]=>[6,2,1,7,8,5,3,4]
[2,8,3,7,6,1,4,5]=>[6,2,7,3,4,8,1,5]
[2,8,7,4,6,1,3,5]=>[6,2,1,7,3,4,8,5]
[3,7,8,4,6,1,2,5]=>[6,1,3,8,2,4,7,5]
[4,7,3,8,6,1,2,5]=>[6,1,8,4,3,7,2,5]
[4,2,7,8,6,1,3,5]=>[6,4,1,2,3,8,7,5]
[3,7,8,6,5,1,4,2]=>[5,4,3,1,6,8,7,2]
[6,3,8,5,2,4,7,1]=>[7,5,8,3,6,2,4,1]
[7,3,8,6,5,2,4,1]=>[4,5,6,2,8,7,3,1]
[1,3,8,7,6,2,4,5]=>[1,6,3,2,4,7,8,5]
[1,4,7,8,6,2,3,5]=>[1,6,2,4,3,8,7,5]
[1,7,5,6,8,2,3,4]=>[1,8,2,3,7,5,6,4]
[7,4,6,8,5,2,3,1]=>[3,5,2,8,7,1,6,4]
[7,4,5,8,2,6,3,1]=>[3,6,8,7,4,1,5,2]
[4,6,5,8,1,3,7,2]=>[8,7,1,4,6,5,3,2]
[5,7,6,4,8,1,3,2]=>[8,3,1,6,5,7,4,2]
[7,5,3,6,8,2,1,4]=>[2,8,5,1,7,3,6,4]
[5,2,6,7,8,1,3,4]=>[8,5,1,3,2,6,7,4]
[4,5,7,8,1,6,2,3]=>[8,6,2,4,5,1,7,3]
[4,5,6,8,1,2,7,3]=>[8,1,7,4,5,6,2,3]
[3,5,8,6,1,2,7,4]=>[6,1,3,8,5,7,4,2]
[3,6,8,7,5,1,2,4]=>[5,1,3,2,7,6,8,4]
[3,6,8,4,7,1,2,5]=>[7,1,3,8,2,6,4,5]
[4,2,6,8,7,1,3,5]=>[7,4,1,2,3,6,8,5]
[1,4,6,8,7,2,3,5]=>[1,7,2,4,3,6,8,5]
[4,5,3,8,1,7,2,6]=>[8,7,5,4,3,2,1,6]
[3,5,8,4,1,7,2,6]=>[4,8,3,7,5,1,2,6]
[3,4,8,1,5,7,2,6]=>[8,7,3,4,1,2,5,6]
[5,3,8,4,2,7,1,6]=>[7,4,8,5,2,1,3,6]
[5,2,4,8,1,7,3,6]=>[8,5,7,2,4,3,1,6]
[5,3,8,7,2,6,1,4]=>[6,7,5,1,3,2,8,4]
[5,3,8,6,2,1,7,4]=>[2,6,5,8,3,7,4,1]
[1,6,5,7,8,2,3,4]=>[1,8,2,3,6,5,7,4]
[6,7,3,5,8,2,1,4]=>[2,8,7,1,3,6,5,4]
[6,7,4,8,5,2,3,1]=>[3,5,2,8,7,6,1,4]
[5,6,4,8,2,3,7,1]=>[7,8,2,6,5,4,3,1]
[6,5,4,8,1,3,7,2]=>[8,7,1,5,6,4,3,2]
[7,6,4,8,5,1,3,2]=>[5,3,1,8,6,7,2,4]
[6,2,7,5,8,1,3,4]=>[8,6,1,3,7,2,5,4]
[7,2,6,5,8,1,3,4]=>[8,7,1,3,6,2,5,4]
[7,2,6,4,1,3,5,8]=>[4,6,2,7,3,1,5,8]
[7,1,3,4,6,2,5,8]=>[7,6,1,3,2,4,5,8]
[7,3,6,5,2,4,1,8]=>[4,5,6,3,7,2,1,8]
[6,3,7,5,2,4,8,1]=>[8,5,7,3,6,2,4,1]
[8,1,2,7,4,5,3,6]=>[8,1,5,7,4,3,2,6]
[2,5,7,4,6,1,3,8]=>[6,2,1,7,5,4,3,8]
[8,5,7,4,3,1,2,6]=>[3,1,4,7,8,2,5,6]
[4,6,8,3,1,2,7,5]=>[3,1,8,4,7,6,2,5]
[6,1,7,4,5,3,8,2]=>[6,8,5,7,4,1,3,2]
[8,5,7,3,2,1,4,6]=>[2,3,7,1,8,4,5,6]
[8,2,7,3,1,5,4,6]=>[3,7,8,5,2,4,1,6]
[8,2,1,7,4,5,3,6]=>[2,8,5,7,4,3,1,6]
[2,6,4,8,3,1,7,5]=>[3,2,8,6,7,4,1,5]
[8,1,3,7,5,6,4,2]=>[8,4,1,6,7,5,3,2]
[3,8,2,6,1,4,7,5]=>[6,8,3,1,7,2,4,5]
[1,6,4,7,5,8,3,2]=>[1,3,8,6,7,4,5,2]
[1,6,8,5,7,3,2,4]=>[1,3,7,2,8,6,5,4]
[1,2,5,3,8,6,7,4]=>[1,2,5,7,3,8,6,4]
[6,3,5,7,8,1,2,4]=>[8,1,6,2,3,5,7,4]
[4,1,6,5,7,8,2,3]=>[4,8,2,1,6,5,7,3]
[3,8,1,2,6,4,7,5]=>[8,1,3,6,7,2,4,5]
[6,1,3,7,4,2,8,5]=>[6,4,1,7,8,3,2,5]
[6,7,2,4,1,3,8,5]=>[4,7,1,2,8,6,3,5]
[8,7,1,3,5,4,2,6]=>[7,4,1,5,3,2,8,6]
[7,8,4,6,3,2,5,1]=>[5,3,6,8,2,4,7,1]
[8,7,1,4,6,2,5,3]=>[7,6,5,1,2,4,8,3]
[7,3,8,4,2,6,5,1]=>[5,4,6,8,7,2,1,3]
[8,5,3,4,2,7,1,6]=>[7,4,5,3,8,1,2,6]
[8,1,3,4,5,2,7,6]=>[8,5,1,3,4,7,2,6]
[8,4,3,5,1,7,2,6]=>[5,7,4,8,3,2,1,6]
[8,4,5,2,1,3,7,6]=>[2,5,1,8,4,7,3,6]
[4,8,2,6,1,3,7,5]=>[6,8,1,4,7,2,3,5]
[3,4,1,6,8,2,7,5]=>[4,8,3,1,7,6,2,5]
[1,3,8,2,5,6,7,4]=>[1,8,3,7,2,5,6,4]
[3,7,8,2,5,6,4,1]=>[4,6,3,8,1,5,7,2]
[8,1,7,5,2,6,4,3]=>[8,5,4,7,6,3,1,2]
[1,8,6,7,2,5,4,3]=>[1,7,4,5,2,8,6,3]
[7,6,8,3,5,4,2,1]=>[2,4,5,8,1,7,6,3]
[1,6,7,3,8,5,4,2]=>[1,4,5,8,7,6,3,2]
[7,3,4,8,1,6,5,2]=>[8,5,6,2,7,1,4,3]
[7,8,4,6,2,1,5,3]=>[2,6,5,8,1,4,7,3]
[8,7,6,2,3,1,5,4]=>[3,6,2,5,1,7,8,4]
[8,7,2,4,6,1,5,3]=>[6,7,5,2,1,4,8,3]
[2,8,6,7,1,5,4,3]=>[7,2,4,5,1,8,6,3]
[7,8,6,5,2,4,3,1]=>[3,4,5,1,6,8,7,2]
[3,6,7,5,2,8,4,1]=>[4,8,3,5,7,6,1,2]
[5,4,6,7,8,1,3,2]=>[8,3,1,5,4,6,7,2]
[5,3,6,7,8,1,4,2]=>[8,4,5,1,3,6,7,2]
[5,3,7,6,8,4,1,2]=>[4,1,8,5,2,7,6,3]
[6,3,7,5,4,8,2,1]=>[2,8,6,5,7,3,4,1]
[5,3,7,6,4,8,1,2]=>[8,1,5,6,3,7,4,2]
[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]
[5,4,8,6,7,2,3,1]=>[3,7,2,5,4,8,6,1]
[2,7,8,4,6,3,5,1]=>[5,2,6,8,3,4,7,1]
[5,4,8,6,3,1,2,7]=>[3,1,6,5,4,8,2,7]
[6,4,3,7,5,2,8,1]=>[8,5,4,7,6,2,3,1]
[4,5,7,3,6,2,8,1]=>[8,6,7,4,5,3,2,1]
[4,5,6,3,8,2,7,1]=>[7,8,6,4,5,3,2,1]
[8,4,7,1,3,5,2,6]=>[7,5,1,8,3,2,4,6]
[5,4,8,7,2,1,3,6]=>[2,7,1,5,4,3,8,6]
[2,5,4,7,8,1,3,6]=>[8,2,1,5,4,3,7,6]
[7,1,6,3,5,2,8,4]=>[7,5,6,8,3,1,2,4]
[7,1,4,3,6,2,8,5]=>[7,6,4,1,8,3,2,5]
[5,3,6,4,8,2,7,1]=>[7,8,5,6,3,4,2,1]
[5,3,7,4,6,2,8,1]=>[8,6,5,7,3,4,2,1]
[8,2,6,3,7,4,5,1]=>[5,8,6,7,4,2,3,1]
[8,2,4,7,3,5,6,1]=>[6,8,7,2,3,5,4,1]
[8,2,6,5,7,3,4,1]=>[4,8,7,3,6,2,5,1]
[8,3,4,5,7,2,6,1]=>[6,7,8,3,4,2,5,1]
[4,5,6,2,7,3,8,1]=>[8,6,7,4,5,2,3,1]
[5,2,7,1,3,6,8,4]=>[7,5,1,8,2,3,6,4]
[5,3,1,7,6,2,8,4]=>[3,5,6,7,2,8,4,1]
[7,5,1,6,4,2,8,3]=>[5,4,7,6,8,3,2,1]
[7,4,6,1,5,2,8,3]=>[6,5,8,7,1,4,2,3]
[5,4,6,2,8,3,7,1]=>[7,6,8,5,4,2,3,1]
[8,4,6,1,7,2,5,3]=>[6,7,5,8,2,4,1,3]
[8,5,1,6,2,7,4,3]=>[5,8,4,6,7,2,3,1]
[5,2,1,6,3,8,7,4]=>[2,5,6,7,1,3,8,4]
[4,5,6,3,7,1,8,2]=>[7,8,6,4,5,3,1,2]
[6,3,2,8,5,4,1,7]=>[4,3,5,8,6,2,1,7]
[2,7,4,1,5,3,6,8]=>[4,2,7,5,3,1,6,8]
[3,8,4,2,5,1,6,7]=>[5,4,3,8,2,1,6,7]
[4,3,1,5,2,8,6,7]=>[3,4,5,2,1,8,6,7]
[8,5,4,1,3,2,6,7]=>[4,3,1,5,8,2,6,7]
[3,8,4,1,5,2,6,7]=>[4,8,3,5,2,1,6,7]
[2,5,4,3,8,1,6,7]=>[8,2,4,5,3,1,6,7]
[2,5,7,4,3,1,6,8]=>[3,2,4,7,5,1,6,8]
[5,3,4,2,7,1,6,8]=>[7,4,5,3,2,1,6,8]
[3,7,5,4,1,2,6,8]=>[4,1,3,5,7,2,6,8]
[7,5,1,4,3,2,6,8]=>[5,3,4,1,7,2,6,8]
[4,5,3,1,2,7,6,8]=>[3,1,5,4,2,7,6,8]
[4,2,5,1,3,8,7,6]=>[5,4,1,2,3,7,8,6]
[4,3,5,1,2,7,6,8]=>[5,1,4,3,2,7,6,8]
[5,3,4,1,7,2,6,8]=>[4,7,5,3,1,2,6,8]
[4,1,6,3,5,2,7,8]=>[4,5,6,1,3,2,7,8]
[4,1,6,5,3,2,7,8]=>[4,3,5,1,6,2,7,8]
[7,1,5,3,2,6,4,8]=>[7,3,5,6,1,2,4,8]
[4,2,1,8,6,3,7,5]=>[2,4,6,1,8,7,5,3]
[7,3,6,4,1,2,5,8]=>[4,1,6,7,3,2,5,8]
[7,1,6,3,5,2,4,8]=>[7,5,6,2,3,1,4,8]
[3,1,7,2,5,6,4,8]=>[3,7,1,6,2,5,4,8]
[2,6,5,3,1,4,7,8]=>[3,2,5,1,6,4,7,8]
[7,6,2,1,5,3,4,8]=>[2,6,5,3,1,7,4,8]
[3,7,5,4,2,1,6,8]=>[2,4,3,5,7,1,6,8]
[3,7,2,4,1,6,5,8]=>[4,7,3,2,6,1,5,8]
[2,7,6,4,1,3,5,8]=>[4,2,1,6,3,7,5,8]
[7,3,2,1,6,4,5,8]=>[2,3,7,6,4,1,5,8]
[2,7,3,1,6,4,5,8]=>[3,2,7,6,4,1,5,8]
[5,8,3,2,7,4,1,6]=>[4,3,7,8,5,2,1,6]
[2,8,6,1,7,4,3,5]=>[6,2,4,8,1,7,3,5]
[7,3,2,6,1,5,4,8]=>[6,3,7,5,1,2,4,8]
[2,7,3,6,1,5,4,8]=>[6,2,7,5,1,3,4,8]
[2,3,7,6,1,5,4,8]=>[6,2,3,5,1,7,4,8]
[2,5,4,6,1,3,7,8]=>[6,2,1,5,4,3,7,8]
[2,5,6,4,1,3,7,8]=>[4,2,1,6,5,3,7,8]
[2,5,4,1,7,3,6,8]=>[4,2,5,7,3,1,6,8]
[6,4,1,7,2,5,3,8]=>[4,6,7,5,3,2,1,8]
[2,8,5,7,1,3,6,4]=>[7,2,1,6,8,3,5,4]
[8,5,2,6,1,3,7,4]=>[6,5,1,8,7,4,3,2]
[7,1,5,6,3,2,4,8]=>[7,3,6,2,1,5,4,8]
[7,1,2,5,4,6,3,8]=>[7,1,6,5,2,4,3,8]
[2,4,1,6,5,3,7,8]=>[4,2,5,1,6,3,7,8]
[4,1,2,7,5,6,3,8]=>[4,1,6,2,7,5,3,8]
[7,1,2,6,5,4,3,8]=>[7,1,4,5,6,2,3,8]
[7,5,1,4,6,2,3,8]=>[5,7,1,2,6,4,3,8]
[7,1,3,5,6,2,4,8]=>[7,6,1,2,3,5,4,8]
[8,2,1,5,6,3,7,4]=>[2,8,6,7,1,5,3,4]
[2,8,5,1,6,4,7,3]=>[5,2,8,7,6,3,1,4]
[6,1,4,5,3,2,7,8]=>[6,3,5,1,4,2,7,8]
[3,1,6,5,4,2,7,8]=>[3,4,1,5,6,2,7,8]
[3,1,4,6,5,2,7,8]=>[3,5,1,4,6,2,7,8]
[6,4,1,5,3,2,8,7]=>[4,3,6,5,2,1,8,7]
[8,6,1,5,2,3,7,4]=>[6,5,2,8,4,7,3,1]
[5,7,3,1,8,4,2,6]=>[3,7,4,8,5,1,2,6]
[2,1,8,6,3,7,5,4]=>[2,1,6,5,8,7,4,3]
[4,8,2,3,7,6,5,1]=>[5,6,2,4,7,8,3,1]
[5,8,3,1,7,6,4,2]=>[3,8,4,6,5,7,2,1]
[7,8,5,1,2,6,4,3]=>[5,1,4,8,6,3,7,2]
[6,8,5,7,2,4,3,1]=>[3,4,7,1,8,6,5,2]
[7,4,6,3,1,8,2,5]=>[3,6,8,7,1,4,2,5]
[7,4,1,6,8,3,2,5]=>[4,3,7,8,1,2,6,5]
[7,6,3,2,8,5,1,4]=>[5,3,8,2,6,7,1,4]
[7,5,1,8,4,6,2,3]=>[5,7,1,6,8,3,2,4]
[7,6,2,4,1,3,8,5]=>[4,6,1,2,7,8,5,3]
[7,3,8,5,2,6,1,4]=>[6,5,8,1,7,3,2,4]
[5,3,8,4,7,2,1,6]=>[2,7,5,8,3,1,4,6]
[5,6,3,8,7,4,1,2]=>[4,1,7,6,5,2,8,3]
[5,2,6,8,7,4,1,3]=>[4,7,2,5,1,6,8,3]
[6,7,3,8,1,5,4,2]=>[8,4,5,7,1,6,2,3]
[6,3,8,4,1,5,2,7]=>[4,8,5,6,2,1,3,7]
[6,3,8,1,5,4,2,7]=>[8,4,5,6,1,2,3,7]
[6,3,8,1,4,5,2,7]=>[8,5,6,1,4,3,2,7]
[4,3,8,5,7,2,6,1]=>[6,7,4,3,8,2,5,1]
[6,3,8,5,1,4,2,7]=>[5,4,8,3,6,1,2,7]
[6,3,8,5,4,1,2,7]=>[4,1,5,8,6,3,2,7]
[6,3,8,4,5,1,2,7]=>[5,1,6,8,4,3,2,7]
[2,6,3,4,8,1,5,7]=>[8,2,6,3,1,4,5,7]
[5,6,1,8,7,4,3,2]=>[6,3,4,7,5,1,8,2]
[5,2,3,1,4,8,6,7]=>[3,5,2,1,4,8,6,7]
[5,4,1,3,2,8,6,7]=>[4,3,1,5,2,8,6,7]
[3,7,4,2,8,5,6,1]=>[6,4,3,7,8,5,2,1]
[5,1,4,3,2,8,6,7]=>[5,3,4,1,2,8,6,7]
[5,1,3,4,2,8,6,7]=>[5,4,1,3,2,8,6,7]
[5,2,1,4,3,8,6,7]=>[2,5,4,1,3,8,6,7]
[5,2,1,3,4,8,6,7]=>[2,5,1,3,4,8,6,7]
[5,1,2,4,3,8,6,7]=>[5,1,4,2,3,8,6,7]
[6,7,1,8,3,5,4,2]=>[7,4,5,8,2,6,1,3]
[3,2,6,1,8,4,5,7]=>[6,3,2,8,4,1,5,7]
[4,2,7,3,8,5,1,6]=>[5,4,8,2,7,3,1,6]
[4,7,3,2,8,5,1,6]=>[5,3,8,4,7,2,1,6]
[2,3,7,4,8,5,1,6]=>[5,2,3,8,7,4,1,6]
[5,7,6,8,2,4,3,1]=>[3,4,8,1,5,7,6,2]
[4,3,7,2,8,5,6,1]=>[6,7,4,3,8,5,2,1]
[2,3,7,1,8,5,4,6]=>[7,2,3,5,8,4,1,6]
[5,3,1,2,4,8,6,7]=>[3,1,5,2,4,8,6,7]
[5,4,3,1,2,8,6,7]=>[3,1,4,5,2,8,6,7]
[5,2,4,1,3,8,6,7]=>[4,5,1,2,3,8,6,7]
[5,2,4,3,1,8,6,7]=>[3,4,5,1,2,8,6,7]
[3,4,2,7,8,5,6,1]=>[6,4,3,2,8,5,7,1]
[4,3,1,6,8,2,5,7]=>[3,4,8,2,1,6,5,7]
[5,3,4,1,2,8,6,7]=>[4,1,5,3,2,8,6,7]
[5,3,2,4,1,8,6,7]=>[4,3,5,2,1,8,6,7]
[5,2,3,4,1,8,6,7]=>[4,5,2,3,1,8,6,7]
[2,6,1,7,4,5,8,3]=>[6,2,8,7,4,1,5,3]
[5,1,7,3,4,6,8,2]=>[5,8,7,3,1,4,6,2]
[5,8,7,4,3,1,6,2]=>[3,4,7,6,5,1,8,2]
[6,8,7,1,4,3,5,2]=>[7,5,4,1,3,6,8,2]
[7,3,1,4,5,8,6,2]=>[3,7,6,2,4,8,5,1]
[6,8,1,3,4,5,7,2]=>[8,7,1,3,4,6,5,2]
[5,8,1,3,4,6,7,2]=>[8,7,1,3,5,4,6,2]
[5,2,6,3,7,8,1,4]=>[8,5,6,1,2,3,7,4]
[3,5,2,8,1,6,7,4]=>[8,5,3,7,2,1,6,4]
[4,5,6,2,8,1,7,3]=>[8,6,7,4,5,2,1,3]
[2,6,1,4,8,5,7,3]=>[6,2,7,1,8,4,5,3]
[6,1,8,4,2,5,3,7]=>[6,4,8,5,3,1,2,7]
[8,4,5,1,6,2,3,7]=>[5,6,2,8,4,1,3,7]
[5,1,6,3,2,8,4,7]=>[5,3,6,8,1,2,4,7]
[3,1,7,8,2,5,4,6]=>[3,8,1,5,2,4,7,6]
[6,2,8,3,5,7,1,4]=>[7,6,8,1,3,2,5,4]
[6,2,3,7,4,1,8,5]=>[4,7,1,6,8,3,2,5]
[6,3,7,4,1,2,5,8]=>[4,1,7,6,3,2,5,8]
[7,2,6,8,4,3,1,5]=>[3,4,8,7,1,2,6,5]
[3,7,2,8,6,5,1,4]=>[5,6,3,1,8,7,2,4]
[5,2,7,3,6,1,8,4]=>[6,5,7,8,2,3,1,4]
[3,6,7,5,1,2,4,8]=>[5,1,3,2,7,6,4,8]
[2,7,5,8,1,6,4,3]=>[8,2,4,6,7,1,5,3]
[7,4,5,1,8,2,3,6]=>[5,8,2,7,4,3,1,6]
[4,7,1,8,2,3,6,5]=>[7,8,2,4,6,3,1,5]
[7,2,3,1,8,4,5,6]=>[3,7,2,8,4,5,1,6]
[2,1,4,8,3,7,5,6]=>[2,1,8,4,7,5,3,6]
[6,2,8,1,7,3,4,5]=>[8,6,7,3,4,2,1,5]
[4,8,1,6,7,3,2,5]=>[8,3,7,4,2,1,6,5]
[1,2,7,8,4,3,6,5]=>[1,2,4,8,6,3,7,5]
[5,8,1,4,3,2,7,6]=>[8,3,4,1,5,7,2,6]
[4,8,1,3,5,6,2,7]=>[8,6,1,4,3,5,2,7]
[6,8,1,3,2,4,5,7]=>[8,3,1,2,4,6,5,7]
[3,7,4,1,5,6,8,2]=>[4,7,3,8,2,5,6,1]
[5,3,7,8,4,2,6,1]=>[6,4,8,5,2,3,7,1]
[6,3,7,8,2,4,5,1]=>[5,8,6,2,4,3,7,1]
[7,3,5,2,4,8,6,1]=>[6,5,8,2,1,7,4,3]
[8,5,2,4,3,1,7,6]=>[3,4,5,1,8,7,2,6]
[7,5,4,2,3,1,8,6]=>[3,4,2,5,7,8,1,6]
[4,6,5,3,1,8,2,7]=>[3,5,6,4,8,1,2,7]
[5,7,4,1,3,2,8,6]=>[4,3,1,7,5,8,2,6]
[8,6,2,5,1,7,3,4]=>[5,6,8,2,3,7,1,4]
[3,7,6,1,8,4,5,2]=>[6,5,3,7,1,8,4,2]
[7,5,6,2,8,1,3,4]=>[8,6,1,3,7,5,2,4]
[3,5,6,4,8,1,7,2]=>[8,7,3,6,5,4,1,2]
[8,4,2,5,3,7,1,6]=>[7,4,8,5,3,1,2,6]
[3,5,4,6,7,1,8,2]=>[7,8,3,5,4,6,1,2]
[1,4,2,6,5,8,7,3]=>[1,4,7,2,6,5,8,3]
[1,3,2,6,4,8,7,5]=>[1,3,2,6,7,4,8,5]
[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6]
[1,4,2,6,3,8,7,5]=>[1,4,6,2,7,3,8,5]
[1,5,2,6,4,8,7,3]=>[1,5,7,6,2,4,8,3]
[1,5,3,6,4,8,7,2]=>[1,7,5,6,3,4,8,2]
[1,6,2,5,3,8,7,4]=>[1,6,5,7,2,3,8,4]
[2,5,1,4,3,8,7,6]=>[5,2,4,1,3,7,8,6]
[1,7,2,5,4,8,6,3]=>[1,7,6,5,2,8,4,3]
[1,7,3,5,4,8,6,2]=>[1,6,8,5,2,7,4,3]
[1,8,2,6,3,7,5,4]=>[1,8,6,5,7,2,3,4]
[1,8,3,6,4,7,5,2]=>[1,5,7,8,6,4,2,3]
[1,7,3,6,4,8,5,2]=>[1,5,8,7,6,4,2,3]
[1,7,2,6,4,8,5,3]=>[1,7,5,8,6,2,3,4]
[1,7,2,6,3,8,5,4]=>[1,7,6,5,8,2,3,4]
[1,5,2,7,4,8,6,3]=>[1,5,6,8,2,7,3,4]
[1,4,3,7,5,8,6,2]=>[1,6,4,3,8,7,2,5]
[1,4,2,8,5,7,6,3]=>[1,4,6,2,7,8,3,5]
[1,3,2,8,4,7,6,5]=>[1,3,2,8,6,7,4,5]
[4,8,1,3,2,6,5,7]=>[8,3,1,4,6,2,5,7]
[1,5,2,8,4,7,6,3]=>[1,5,6,7,2,8,3,4]
[1,5,3,8,4,7,6,2]=>[1,6,5,7,3,8,2,4]
[1,6,3,8,4,7,5,2]=>[1,5,7,6,8,4,2,3]
[1,6,2,8,3,7,5,4]=>[1,6,8,5,7,2,3,4]
[2,7,3,8,1,5,4,6]=>[8,2,7,5,1,4,3,6]
[2,8,3,7,1,5,4,6]=>[7,2,8,5,1,4,3,6]
[1,8,4,7,3,6,5,2]=>[1,5,6,7,8,4,2,3]
[1,7,4,8,3,6,5,2]=>[1,5,6,8,7,4,2,3]
[3,8,2,6,1,5,4,7]=>[6,8,3,5,1,2,4,7]
[2,6,3,8,1,5,4,7]=>[8,2,6,5,1,3,4,7]
[8,3,1,4,2,6,5,7]=>[3,8,4,2,6,1,5,7]
[4,8,7,3,5,2,1,6]=>[2,5,7,4,3,1,8,6]
[6,8,7,3,5,2,4,1]=>[4,5,7,2,3,6,8,1]
[8,3,5,1,2,6,4,7]=>[5,1,8,6,3,2,4,7]
[8,6,3,1,5,4,2,7]=>[3,6,4,5,2,8,1,7]
[8,6,4,1,5,3,2,7]=>[4,3,6,5,2,8,1,7]
[8,6,5,4,1,3,2,7]=>[4,3,1,5,6,8,2,7]
[5,3,8,7,4,6,2,1]=>[2,6,5,7,3,4,8,1]
[2,3,8,7,4,6,1,5]=>[6,2,3,7,1,4,8,5]
[8,3,5,7,4,1,2,6]=>[4,1,7,8,2,3,5,6]
[4,8,5,3,1,2,7,6]=>[3,1,5,4,8,7,2,6]
[6,8,7,3,1,5,4,2]=>[3,7,4,5,2,6,8,1]
[6,8,5,4,1,3,7,2]=>[4,5,1,8,7,6,3,2]
[2,5,8,7,4,6,3,1]=>[3,2,6,7,5,4,8,1]
[4,8,7,6,5,1,3,2]=>[5,3,1,4,6,7,8,2]
[3,8,7,5,1,6,2,4]=>[5,7,3,1,6,2,8,4]
[2,3,8,7,5,6,1,4]=>[6,2,3,1,7,5,8,4]
[2,8,7,1,3,6,4,5]=>[7,2,1,6,4,3,8,5]
[8,5,4,7,2,1,3,6]=>[2,7,1,5,8,3,4,6]
[6,8,7,3,5,2,1,4]=>[2,5,7,1,3,6,8,4]
[3,5,8,6,4,2,7,1]=>[7,4,3,6,5,8,2,1]
[6,8,4,1,5,2,7,3]=>[4,8,5,7,2,6,3,1]
[6,8,2,1,7,5,3,4]=>[2,8,5,3,7,6,1,4]
[5,8,4,6,1,2,7,3]=>[6,1,7,8,5,4,2,3]
[2,4,8,6,5,1,7,3]=>[5,2,6,4,8,7,1,3]
[4,8,7,6,5,2,1,3]=>[2,5,1,4,6,7,8,3]
[4,8,7,5,1,6,2,3]=>[5,7,1,4,6,2,8,3]
[4,5,2,1,8,6,7,3]=>[2,5,7,4,1,8,6,3]
[4,5,8,3,1,6,7,2]=>[3,8,7,4,5,2,6,1]
[5,7,2,8,4,6,1,3]=>[6,7,1,8,5,4,2,3]
[6,7,3,2,4,8,5,1]=>[5,3,8,1,7,6,4,2]
[7,2,8,6,4,5,1,3]=>[5,7,1,6,4,8,2,3]
[8,7,2,6,5,1,3,4]=>[5,6,2,3,7,1,8,4]
[5,2,7,8,4,1,3,6]=>[4,8,2,5,1,3,7,6]
[2,7,8,6,4,1,3,5]=>[4,2,1,6,3,8,7,5]
[7,6,3,5,2,8,4,1]=>[4,8,5,6,1,7,3,2]
[6,2,7,4,8,5,3,1]=>[3,5,8,6,7,4,2,1]
[8,6,5,1,7,2,4,3]=>[5,6,4,2,8,7,1,3]
[6,8,5,1,7,3,2,4]=>[5,3,8,1,7,6,2,4]
[1,6,8,3,7,4,2,5]=>[1,4,7,8,3,6,2,5]
[5,1,6,3,4,8,2,7]=>[5,8,6,3,1,4,2,7]
[3,5,2,6,4,8,1,7]=>[8,5,3,6,2,4,1,7]
[3,5,2,4,8,1,7,6]=>[8,5,3,2,4,7,1,6]
[6,3,8,2,4,1,7,5]=>[4,8,6,2,7,3,1,5]
[4,6,3,8,7,5,2,1]=>[2,5,7,4,6,1,8,3]
[6,3,8,7,5,4,2,1]=>[2,4,5,7,6,3,8,1]
[6,8,4,2,1,7,5,3]=>[2,4,8,5,7,6,3,1]
[5,2,6,4,3,8,1,7]=>[8,5,4,6,2,3,1,7]
[6,5,3,1,4,8,2,7]=>[3,5,6,1,8,4,2,7]
[3,1,7,8,6,4,2,5]=>[3,4,1,6,2,8,7,5]
[3,8,1,7,6,2,5,4]=>[8,6,3,5,2,7,1,4]
[8,1,7,6,4,2,5,3]=>[8,4,6,5,3,7,1,2]
[7,2,6,3,8,5,4,1]=>[4,5,8,7,6,1,2,3]
[7,3,8,6,4,1,5,2]=>[4,6,5,8,1,7,2,3]
[1,7,5,8,2,4,3,6]=>[1,8,4,2,7,3,5,6]
[6,1,5,2,4,8,3,7]=>[6,5,8,2,1,4,3,7]
[1,5,6,3,8,2,4,7]=>[1,8,6,2,5,3,4,7]
[8,7,1,3,6,5,2,4]=>[7,5,1,2,6,3,8,4]
[2,6,7,4,3,8,5,1]=>[5,2,4,8,7,6,1,3]
[5,2,4,7,3,8,6,1]=>[6,5,8,2,4,7,1,3]
[1,5,8,7,2,4,6,3]=>[1,7,6,2,5,4,8,3]
[1,4,8,7,3,6,5,2]=>[1,5,6,4,7,2,8,3]
[8,3,7,2,5,1,6,4]=>[5,7,8,6,2,1,3,4]
[3,7,2,8,1,5,4,6]=>[8,7,3,5,1,4,2,6]
[3,2,6,1,5,8,4,7]=>[6,3,2,8,1,5,4,7]
[7,2,1,5,8,4,3,6]=>[2,7,4,8,1,3,5,6]
[7,2,8,1,4,3,6,5]=>[8,7,4,1,6,3,2,5]
[1,7,8,3,2,6,5,4]=>[1,3,8,5,6,2,7,4]
[1,7,4,8,3,2,6,5]=>[1,3,8,7,6,2,4,5]
[1,7,5,4,8,3,2,6]=>[1,3,8,5,7,2,4,6]
[6,1,5,4,3,8,2,7]=>[6,8,4,5,1,3,2,7]
[1,7,4,5,6,8,2,3]=>[1,8,2,7,4,5,6,3]
[1,6,4,2,3,5,7,8]=>[1,4,2,6,3,5,7,8]
[1,6,5,2,3,4,7,8]=>[1,5,2,3,6,4,7,8]
[1,8,5,2,3,4,6,7]=>[1,5,2,3,8,4,6,7]
[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]
[1,5,8,6,2,3,4,7]=>[1,6,2,3,5,8,4,7]
[1,6,8,5,2,3,4,7]=>[1,5,2,3,8,6,4,7]
[1,6,7,5,2,3,4,8]=>[1,5,2,3,7,6,4,8]
[1,6,5,7,2,3,4,8]=>[1,7,2,3,6,5,4,8]
[1,7,5,6,2,3,4,8]=>[1,6,2,3,7,5,4,8]
[1,7,6,5,2,3,4,8]=>[1,5,2,3,6,7,4,8]
[1,3,2,7,6,4,5,8]=>[1,3,2,6,4,7,5,8]
[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]
[1,5,4,2,3,7,6,8]=>[1,4,2,5,3,7,6,8]
[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]
[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]
[1,3,2,8,6,4,5,7]=>[1,3,2,6,4,8,5,7]
[1,8,6,5,2,3,4,7]=>[1,5,2,3,6,8,4,7]
[1,7,5,8,2,3,4,6]=>[1,8,2,3,7,4,5,6]
[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]
[1,7,4,2,8,3,5,6]=>[1,4,7,8,2,5,3,6]
[1,7,8,5,2,3,4,6]=>[1,5,2,3,8,4,7,6]
[2,1,5,8,6,3,7,4]=>[2,1,6,8,5,7,4,3]
[2,5,8,4,6,1,7,3]=>[6,2,7,8,5,4,1,3]
[2,5,3,8,6,1,7,4]=>[6,2,5,8,3,7,4,1]
[2,6,3,5,8,1,7,4]=>[8,2,6,7,3,5,1,4]
[6,3,2,5,8,1,7,4]=>[8,3,6,7,2,5,1,4]
[5,3,2,8,6,1,7,4]=>[6,3,5,8,2,7,4,1]
[5,8,4,6,1,3,7,2]=>[6,7,1,8,5,4,3,2]
[5,3,8,6,1,4,7,2]=>[6,8,5,2,3,7,4,1]
[2,6,5,4,8,1,7,3]=>[8,2,7,5,6,4,1,3]
[8,3,5,7,2,6,4,1]=>[4,6,7,8,1,3,5,2]
[2,4,6,8,5,3,7,1]=>[7,2,5,4,8,6,3,1]
[2,4,8,1,7,6,5,3]=>[8,2,5,4,6,7,1,3]
[4,3,8,1,5,7,6,2]=>[8,6,4,3,1,7,5,2]
[3,8,4,1,5,7,6,2]=>[4,8,3,6,2,7,5,1]
[4,3,6,8,5,2,7,1]=>[7,5,4,3,8,6,2,1]
[8,5,4,7,2,6,3,1]=>[3,6,7,5,8,1,4,2]
[3,6,8,5,4,2,7,1]=>[7,4,3,5,8,6,2,1]
[3,6,4,8,5,2,7,1]=>[7,5,3,8,6,2,4,1]
[3,6,4,1,8,2,7,5]=>[4,6,3,8,7,2,1,5]
[3,6,4,1,5,2,8,7]=>[4,6,3,5,2,1,8,7]
[4,8,6,5,1,3,7,2]=>[5,6,1,4,8,7,3,2]
[2,8,3,5,6,7,1,4]=>[7,2,8,1,3,5,6,4]
[5,6,2,4,7,1,8,3]=>[7,6,8,2,5,4,1,3]
[2,7,5,4,6,1,8,3]=>[6,2,8,5,7,4,1,3]
[2,3,7,4,6,1,8,5]=>[6,2,3,7,8,4,1,5]
[2,6,7,4,1,3,8,5]=>[4,2,1,7,8,6,3,5]
[6,5,7,4,1,3,8,2]=>[4,7,2,8,6,5,3,1]
[2,4,6,3,5,7,8,1]=>[8,2,6,4,3,5,7,1]
[4,1,6,3,5,7,8,2]=>[4,8,6,1,3,5,7,2]
[3,6,4,2,5,7,8,1]=>[8,4,3,6,2,5,7,1]
[2,3,6,1,5,7,8,4]=>[6,2,3,8,1,5,7,4]
[4,3,6,2,5,7,8,1]=>[8,6,4,3,2,5,7,1]
[4,6,1,2,5,7,8,3]=>[6,1,8,4,2,5,7,3]
[2,6,4,1,5,7,8,3]=>[4,2,6,8,3,5,7,1]
[2,4,1,6,5,7,8,3]=>[4,2,8,1,6,5,7,3]
[8,6,5,3,1,7,4,2]=>[3,5,4,6,8,7,2,1]
[6,4,7,3,1,8,5,2]=>[3,7,5,8,6,1,2,4]
[6,4,7,5,3,1,8,2]=>[3,5,7,8,6,2,1,4]
[6,4,2,7,5,1,8,3]=>[5,4,7,6,8,2,3,1]
[7,5,4,2,6,3,1,8]=>[3,6,4,5,7,1,2,8]
[7,5,4,2,6,1,8,3]=>[6,4,5,7,8,2,1,3]
[7,5,4,6,3,1,8,2]=>[3,6,8,5,7,4,2,1]
[4,7,3,1,8,6,5,2]=>[3,7,5,4,6,8,2,1]
[4,8,6,5,3,1,7,2]=>[3,5,6,4,8,7,2,1]
[5,6,4,7,3,1,8,2]=>[3,7,8,6,5,4,2,1]
[5,6,4,2,7,1,8,3]=>[7,4,6,8,5,3,1,2]
[5,3,6,8,2,1,7,4]=>[2,8,5,7,3,6,1,4]
[4,2,7,5,3,1,8,6]=>[3,5,4,1,7,8,2,6]
[4,2,8,6,5,3,1,7]=>[3,5,4,1,6,8,2,7]
[5,4,2,8,6,3,1,7]=>[3,6,4,5,1,8,2,7]
[5,6,3,2,8,4,1,7]=>[4,3,8,6,5,1,2,7]
[5,3,6,4,8,2,1,7]=>[2,8,5,6,3,4,1,7]
[6,8,4,3,2,5,1,7]=>[5,3,4,8,2,6,1,7]
[4,8,3,2,6,5,1,7]=>[5,3,6,4,8,1,2,7]
[7,3,2,5,4,1,8,6]=>[4,3,5,7,1,8,2,6]
[7,3,2,5,1,8,6,4]=>[5,3,7,6,2,8,1,4]
[4,6,3,8,7,2,1,5]=>[2,7,6,4,1,3,8,5]
[4,7,6,3,2,5,1,8]=>[5,3,6,4,2,7,1,8]
[4,7,6,3,8,2,1,5]=>[2,8,6,4,1,7,3,5]
[4,7,3,8,6,2,1,5]=>[2,6,8,4,3,7,1,5]
[5,4,8,7,2,1,6,3]=>[2,7,6,5,4,1,8,3]
[7,5,4,8,2,1,6,3]=>[2,8,6,5,7,1,4,3]
[5,7,3,2,6,1,8,4]=>[6,3,7,8,5,2,1,4]
[5,7,3,2,6,4,1,8]=>[4,3,6,7,5,1,2,8]
[6,4,2,7,1,8,5,3]=>[7,4,6,5,8,3,1,2]
[6,2,7,5,1,8,4,3]=>[5,7,4,6,8,3,2,1]
[2,7,5,1,8,6,4,3]=>[5,2,4,7,6,8,3,1]
[2,7,5,3,1,8,6,4]=>[3,2,5,7,6,8,4,1]
[2,8,6,5,3,1,7,4]=>[3,2,5,6,8,7,1,4]
[3,7,5,4,2,6,1,8]=>[6,4,3,5,7,2,1,8]
[7,5,2,8,4,3,1,6]=>[3,4,8,5,7,1,2,6]
[5,2,8,7,4,3,1,6]=>[3,4,7,5,2,1,8,6]
[4,2,7,3,1,8,6,5]=>[3,7,4,1,6,8,2,5]
[7,3,2,4,1,8,6,5]=>[4,3,7,2,6,8,1,5]
[5,3,2,8,7,4,1,6]=>[4,3,7,5,1,2,8,6]
[8,4,3,2,7,5,1,6]=>[5,3,4,7,8,2,1,6]
[4,3,7,5,8,2,1,6]=>[2,8,4,3,7,1,5,6]
[4,3,7,5,2,6,1,8]=>[6,5,4,3,7,2,1,8]
[4,5,7,3,2,6,1,8]=>[6,3,7,4,5,2,1,8]
[4,5,7,3,8,2,1,6]=>[2,8,7,4,5,1,3,6]
[8,4,5,3,7,2,1,6]=>[2,7,5,8,4,1,3,6]
[4,3,5,8,7,2,1,6]=>[2,7,4,3,5,1,8,6]
[3,5,4,8,7,2,1,6]=>[2,7,3,5,4,1,8,6]
[3,6,4,8,2,1,7,5]=>[2,8,3,6,7,4,1,5]
[3,4,2,7,1,8,6,5]=>[7,4,3,2,6,8,1,5]
[3,4,2,7,5,1,8,6]=>[5,4,3,2,7,8,1,6]
[3,4,2,8,6,5,1,7]=>[5,4,3,2,6,8,1,7]
[4,3,5,2,8,6,1,7]=>[6,5,4,3,2,8,1,7]
[4,5,3,6,8,2,1,7]=>[2,8,5,4,3,6,1,7]
[1,2,8,6,4,5,7,3]=>[1,2,7,6,4,8,5,3]
[1,8,5,3,4,6,7,2]=>[1,7,5,3,8,4,6,2]
[7,8,4,1,6,3,5,2]=>[4,8,5,6,1,2,7,3]
[8,7,5,6,1,3,4,2]=>[6,4,1,3,7,5,8,2]
[3,2,6,4,1,8,5,7]=>[4,3,2,6,8,1,5,7]
[2,8,6,5,3,1,4,7]=>[3,2,5,1,6,8,4,7]
[5,4,8,6,2,3,1,7]=>[3,6,2,5,4,8,1,7]
[4,8,7,5,2,3,1,6]=>[3,5,2,4,7,1,8,6]
[5,2,4,7,6,8,3,1]=>[3,8,5,1,4,7,6,2]
[2,5,3,7,6,8,4,1]=>[4,2,8,5,1,7,6,3]
[8,6,5,1,4,2,3,7]=>[5,4,2,1,6,8,3,7]
[4,1,2,8,6,5,3,7]=>[4,1,5,2,6,8,3,7]
[8,5,1,3,2,6,4,7]=>[5,3,1,8,6,4,2,7]
[4,6,1,8,5,2,3,7]=>[6,5,2,4,8,1,3,7]
[3,4,2,8,7,5,1,6]=>[5,4,3,2,7,1,8,6]
[8,5,7,6,3,2,4,1]=>[4,3,6,2,7,8,1,5]
[6,4,1,8,7,3,2,5]=>[4,3,6,7,1,2,8,5]
[1,8,5,4,2,7,3,6]=>[1,4,5,8,7,3,2,6]
[3,7,1,2,8,5,4,6]=>[7,1,3,5,8,4,2,6]
[7,4,6,8,3,1,5,2]=>[3,8,5,7,2,4,6,1]
[3,7,6,1,5,8,4,2]=>[6,4,3,7,2,8,5,1]
[3,6,5,8,2,7,4,1]=>[4,7,3,8,6,5,1,2]
[8,3,2,7,4,6,5,1]=>[5,3,6,8,7,1,4,2]
[1,7,6,4,8,3,5,2]=>[1,5,8,6,3,7,4,2]
[7,5,8,4,1,3,6,2]=>[4,8,2,6,7,3,5,1]
[7,1,6,2,3,8,4,5]=>[7,6,2,8,4,1,3,5]
[6,4,7,1,3,2,8,5]=>[7,3,1,6,8,4,2,5]
[5,1,3,8,7,2,6,4]=>[5,7,1,6,3,2,8,4]
[8,7,1,6,2,5,3,4]=>[7,6,5,3,2,1,8,4]
[3,8,5,2,4,7,6,1]=>[6,5,3,1,7,8,4,2]
[2,8,7,3,5,1,6,4]=>[5,2,7,6,3,1,8,4]
[8,7,5,2,3,6,1,4]=>[6,5,2,1,7,3,8,4]
[3,1,7,4,8,6,2,5]=>[3,6,1,8,4,7,2,5]
[7,1,5,2,4,8,3,6]=>[7,5,8,2,1,3,4,6]
[3,8,5,1,4,7,2,6]=>[5,8,3,2,7,1,4,6]
[7,2,5,4,1,3,8,6]=>[4,5,2,7,1,8,3,6]
[6,4,1,8,7,2,3,5]=>[4,6,1,7,3,2,8,5]
[8,7,1,6,3,2,4,5]=>[7,3,6,2,4,1,8,5]
[7,3,2,5,8,4,1,6]=>[4,3,8,7,1,2,5,6]
[4,7,2,3,8,1,6,5]=>[8,7,2,4,6,1,3,5]
[8,2,3,1,6,7,5,4]=>[3,8,2,5,7,1,6,4]
[7,5,8,1,6,3,2,4]=>[8,3,6,2,7,1,5,4]
[3,7,2,5,6,4,8,1]=>[8,7,3,6,2,5,4,1]
[6,7,2,4,1,5,8,3]=>[4,7,8,2,1,6,5,3]
[4,2,7,5,1,6,8,3]=>[5,4,7,2,8,3,6,1]
[5,8,1,6,2,3,7,4]=>[8,6,2,7,5,1,3,4]
[5,1,2,8,4,7,6,3]=>[5,1,6,7,2,8,3,4]
[8,2,3,7,4,6,5,1]=>[5,6,1,8,7,3,4,2]
[7,1,4,8,5,6,2,3]=>[7,6,2,1,8,5,4,3]
[8,5,6,1,2,4,7,3]=>[6,1,7,2,8,5,4,3]
[5,2,6,8,4,7,1,3]=>[7,5,1,8,2,6,4,3]
[3,6,5,8,2,7,1,4]=>[7,8,3,1,6,5,2,4]
[7,1,6,3,8,2,5,4]=>[7,8,6,5,2,1,3,4]
[8,1,5,6,4,3,7,2]=>[8,7,4,6,1,5,3,2]
[7,3,8,1,4,6,5,2]=>[8,5,6,1,7,4,2,3]
[7,4,6,1,3,2,5,8]=>[6,3,1,7,2,4,5,8]
[1,4,5,8,6,3,2,7]=>[1,3,6,4,5,8,2,7]
[8,4,5,7,2,6,1,3]=>[6,7,1,8,4,2,5,3]
[7,4,1,5,6,3,2,8]=>[4,3,7,6,2,5,1,8]
[3,7,4,5,6,2,1,8]=>[2,6,3,7,4,5,1,8]
[4,5,2,6,7,3,1,8]=>[3,7,5,4,1,6,2,8]
[7,1,2,5,6,3,4,8]=>[7,1,6,3,2,5,4,8]
[8,1,7,5,3,6,2,4]=>[8,6,5,2,7,3,1,4]
[1,8,6,3,5,7,2,4]=>[1,7,6,2,3,8,5,4]
[5,8,6,3,1,7,2,4]=>[3,6,8,2,5,7,1,4]
[4,8,6,3,5,7,2,1]=>[2,7,6,4,3,8,5,1]
[4,7,8,3,2,6,1,5]=>[6,3,8,4,1,2,7,5]
[5,2,8,3,6,1,4,7]=>[6,5,8,1,2,3,4,7]
[2,1,6,5,8,3,4,7]=>[2,1,8,3,6,5,4,7]
[5,2,6,3,1,7,8,4]=>[3,6,5,8,1,2,7,4]
[6,2,5,7,3,4,8,1]=>[8,6,7,3,2,5,4,1]
[7,2,5,6,3,1,8,4]=>[3,6,7,8,1,5,2,4]
[7,4,3,1,5,2,8,6]=>[3,4,7,5,1,8,2,6]
[4,8,6,5,1,7,2,3]=>[5,6,2,4,8,7,1,3]
[4,3,5,1,6,7,8,2]=>[5,8,4,3,1,6,7,2]
[5,1,4,3,6,7,8,2]=>[5,8,4,1,3,6,7,2]
[4,6,5,2,3,7,8,1]=>[8,5,2,4,6,3,7,1]
[5,7,6,1,2,3,8,4]=>[6,1,2,7,5,8,4,3]
[3,6,7,5,1,2,8,4]=>[5,1,3,7,8,6,4,2]
[1,7,6,8,5,2,4,3]=>[1,5,4,2,8,7,6,3]
[5,7,6,8,1,2,4,3]=>[8,1,4,2,5,7,6,3]
[6,1,2,7,5,4,8,3]=>[6,1,8,5,7,2,4,3]
[7,5,4,2,8,6,3,1]=>[3,6,4,5,8,7,2,1]
[3,1,5,8,7,6,4,2]=>[3,4,1,6,5,7,8,2]
[3,4,6,1,5,2,8,7]=>[6,5,3,4,1,2,8,7]
[5,6,3,7,1,4,8,2]=>[7,8,6,1,5,3,4,2]
[3,1,2,5,8,6,4,7]=>[3,1,2,6,5,8,4,7]
[5,3,2,1,8,6,4,7]=>[2,3,5,6,1,8,4,7]
[3,8,7,4,5,1,2,6]=>[5,1,3,7,4,2,8,6]
[7,5,1,4,2,3,8,6]=>[5,4,2,1,7,8,3,6]
[2,6,3,4,1,7,8,5]=>[4,2,6,3,8,1,7,5]
[1,6,3,4,2,7,8,5]=>[1,4,6,3,8,2,7,5]
[3,8,6,4,5,7,2,1]=>[2,7,3,6,4,8,5,1]
[7,8,6,1,4,5,2,3]=>[6,5,2,1,4,8,7,3]
[7,5,1,4,6,2,8,3]=>[5,7,6,2,8,4,3,1]
[7,5,8,1,4,6,2,3]=>[8,6,2,1,7,4,5,3]
[7,5,1,3,6,8,2,4]=>[5,7,2,1,8,3,6,4]
[6,5,3,1,7,8,2,4]=>[3,5,6,2,8,1,7,4]
[6,5,8,4,1,7,2,3]=>[4,8,1,7,6,5,2,3]
[1,8,5,4,7,6,2,3]=>[1,6,2,5,7,8,3,4]
[1,8,5,4,6,7,2,3]=>[1,7,2,5,8,4,6,3]
[6,4,3,7,8,2,1,5]=>[2,8,4,6,1,3,7,5]
[6,5,8,3,7,2,1,4]=>[2,7,8,1,6,5,3,4]
[6,5,3,7,2,1,8,4]=>[2,7,5,6,8,4,1,3]
[7,8,5,3,6,2,1,4]=>[2,6,5,1,8,3,7,4]
[7,8,5,3,6,2,4,1]=>[4,6,5,2,8,3,7,1]
[6,4,8,3,2,7,5,1]=>[5,3,7,8,6,1,4,2]
[7,8,4,3,2,6,5,1]=>[5,3,4,6,8,1,7,2]
[1,8,4,3,2,6,5,7]=>[1,3,4,8,6,2,5,7]
[1,8,4,3,2,6,7,5]=>[1,3,4,8,7,2,6,5]
[7,8,4,3,2,6,1,5]=>[6,3,4,8,1,2,7,5]
[5,4,3,8,2,1,7,6]=>[2,8,4,5,3,7,1,6]
[6,4,8,3,2,1,7,5]=>[2,3,8,6,7,4,1,5]
[1,8,4,3,2,7,6,5]=>[1,3,4,8,6,7,2,5]
[6,5,3,1,2,8,7,4]=>[3,1,5,6,7,4,8,2]
[6,5,8,3,1,2,7,4]=>[3,1,8,7,6,5,2,4]
[7,5,8,1,3,2,6,4]=>[8,3,1,6,7,2,5,4]
[7,6,1,3,2,8,5,4]=>[6,3,1,5,7,8,4,2]
[1,8,6,7,3,2,5,4]=>[1,3,7,5,2,8,6,4]
[1,8,6,7,3,2,4,5]=>[1,3,7,2,4,8,6,5]
[7,6,1,3,2,8,4,5]=>[6,3,1,7,2,8,4,5]
[7,8,6,1,3,2,4,5]=>[6,3,1,2,4,8,7,5]
[6,5,8,3,1,2,4,7]=>[3,1,8,2,6,5,4,7]
[1,8,4,3,2,7,5,6]=>[1,3,4,8,7,5,2,6]
[5,4,3,8,2,1,6,7]=>[2,8,4,5,3,1,6,7]
[5,4,3,8,2,6,1,7]=>[6,8,4,5,3,2,1,7]
[6,4,8,3,2,5,1,7]=>[5,3,8,6,2,4,1,7]
[1,8,4,3,2,5,7,6]=>[1,3,4,8,2,7,5,6]
[6,4,8,3,2,5,7,1]=>[7,3,8,6,2,4,5,1]
[5,4,3,8,2,6,7,1]=>[7,8,4,5,3,2,6,1]
[6,4,2,3,5,1,8,7]=>[5,4,2,6,3,1,8,7]
[5,2,3,6,1,4,8,7]=>[6,5,2,1,3,4,8,7]
[5,2,3,8,6,4,7,1]=>[7,5,2,6,3,8,4,1]
[5,2,3,7,4,8,1,6]=>[8,5,2,7,3,1,4,6]
[8,6,3,2,5,4,7,1]=>[7,3,6,5,2,8,4,1]
[7,2,3,4,5,8,1,6]=>[8,7,2,3,4,1,5,6]
[7,2,8,1,5,3,4,6]=>[8,7,5,3,1,4,2,6]
[3,8,6,4,7,2,5,1]=>[5,7,3,6,2,8,4,1]
[2,1,8,6,4,5,7,3]=>[2,1,7,6,4,8,5,3]
[4,8,2,5,7,3,1,6]=>[3,7,8,4,1,2,5,6]
[5,8,2,3,4,7,1,6]=>[7,8,2,3,5,1,4,6]
[6,3,4,7,8,2,1,5]=>[2,8,6,3,1,4,7,5]
[3,8,5,1,4,7,6,2]=>[5,8,3,2,6,7,4,1]
[4,8,5,1,3,6,7,2]=>[5,8,2,4,7,3,6,1]
[4,6,8,5,2,7,3,1]=>[3,7,5,4,8,6,1,2]
[3,7,8,5,2,6,4,1]=>[4,6,3,5,8,1,7,2]
[3,8,6,2,7,4,5,1]=>[5,6,3,8,2,7,4,1]
[8,5,4,7,1,3,6,2]=>[7,6,1,5,8,3,4,2]
[7,3,6,2,8,1,5,4]=>[8,6,7,5,1,3,2,4]
[8,1,5,2,3,7,6,4]=>[8,5,2,6,1,7,3,4]
[6,4,2,3,7,8,5,1]=>[5,4,1,8,6,3,7,2]
[8,4,2,3,6,7,1,5]=>[7,4,2,8,1,3,6,5]
[4,5,8,3,7,2,1,6]=>[2,7,8,4,5,1,3,6]
[3,7,2,8,4,5,1,6]=>[5,7,3,8,4,1,2,6]
[3,5,1,8,4,6,2,7]=>[5,6,3,8,1,4,2,7]
[4,2,1,5,6,8,3,7]=>[2,4,8,1,5,6,3,7]
[4,1,2,6,5,8,3,7]=>[4,1,8,2,6,5,3,7]
[4,1,8,3,2,6,7,5]=>[4,3,8,1,7,2,6,5]
[4,2,7,5,8,1,3,6]=>[8,4,1,2,7,3,5,6]
[4,6,2,7,8,3,1,5]=>[3,8,6,4,2,1,7,5]
[4,6,1,3,8,2,5,7]=>[6,8,1,4,2,3,5,7]
[4,3,6,2,1,8,7,5]=>[2,6,4,3,7,1,8,5]
[3,7,4,5,1,6,2,8]=>[5,6,3,7,4,1,2,8]
[3,6,4,5,8,2,1,7]=>[2,8,3,6,4,5,1,7]
[6,1,4,5,2,8,7,3]=>[6,5,7,1,4,2,8,3]
[7,2,4,5,1,6,3,8]=>[5,7,6,2,4,1,3,8]
[7,5,4,1,6,3,2,8]=>[4,3,5,7,6,1,2,8]
[1,5,4,8,6,3,2,7]=>[1,3,6,5,4,8,2,7]
[7,5,4,8,6,3,1,2]=>[3,1,6,5,8,7,2,4]
[1,8,7,5,3,6,4,2]=>[1,4,6,5,7,2,8,3]
[8,3,7,4,1,6,2,5]=>[4,7,6,8,3,2,1,5]
[8,5,4,1,6,3,2,7]=>[4,3,5,8,6,1,2,7]
[1,7,4,2,6,5,3,8]=>[1,4,7,5,6,3,2,8]
[8,2,1,5,6,7,3,4]=>[2,8,7,3,1,5,6,4]
[6,3,1,8,4,7,2,5]=>[3,6,7,8,1,2,4,5]
[7,1,4,8,6,3,2,5]=>[7,3,6,1,2,8,4,5]
[4,1,8,5,6,7,2,3]=>[4,7,2,1,8,5,6,3]
[5,7,4,8,6,2,1,3]=>[2,6,1,8,5,7,3,4]
[5,3,6,8,2,7,1,4]=>[7,8,5,1,3,6,2,4]
[6,3,7,4,8,2,1,5]=>[2,8,6,7,1,3,4,5]
[5,3,6,1,4,7,2,8]=>[6,7,5,1,3,4,2,8]
[4,3,6,8,2,7,1,5]=>[7,8,4,3,1,6,2,5]
[5,3,7,4,8,2,1,6]=>[2,8,5,7,3,1,4,6]
[5,3,8,4,1,6,2,7]=>[4,8,6,5,1,2,3,7]
[5,3,8,1,4,7,2,6]=>[8,7,5,1,3,2,4,6]
[5,8,4,1,6,3,2,7]=>[4,3,8,6,5,2,1,7]
[7,3,8,4,1,6,2,5]=>[4,8,6,7,3,2,1,5]
[1,5,8,3,6,7,4,2]=>[1,4,7,8,5,2,6,3]
[1,8,2,5,6,7,3,4]=>[1,8,7,3,2,5,6,4]
[7,8,4,1,6,5,2,3]=>[4,8,1,5,6,2,7,3]
[6,3,8,1,5,7,2,4]=>[8,7,6,2,1,3,5,4]
[8,3,1,2,5,7,4,6]=>[3,1,8,7,2,4,5,6]
[8,1,4,2,6,5,3,7]=>[8,4,5,1,6,2,3,7]
[5,1,3,7,4,8,2,6]=>[5,8,1,7,3,2,4,6]
[5,1,3,4,7,8,2,6]=>[5,8,1,3,4,2,7,6]
[2,5,8,7,4,3,6,1]=>[6,2,4,7,5,3,8,1]
[5,4,1,8,3,2,7,6]=>[4,3,5,8,2,7,1,6]
[5,1,4,3,8,7,2,6]=>[5,7,4,1,3,2,8,6]
[5,1,7,8,3,4,2,6]=>[5,4,8,3,1,2,7,6]
[5,4,1,3,8,2,7,6]=>[4,5,2,8,3,7,1,6]
[2,5,4,8,3,7,6,1]=>[6,2,7,5,4,8,1,3]
[5,2,1,4,8,3,6,7]=>[2,5,8,1,4,3,6,7]
[5,2,1,8,4,3,6,7]=>[2,5,4,8,1,3,6,7]
[5,8,1,2,3,6,4,7]=>[8,1,2,6,5,3,4,7]
[5,6,8,2,3,4,1,7]=>[4,8,2,3,5,6,1,7]
[2,3,5,7,4,6,8,1]=>[8,2,3,7,5,4,6,1]
[4,5,2,3,8,6,1,7]=>[6,5,2,4,3,8,1,7]
[4,5,2,8,3,6,1,7]=>[6,5,8,4,2,3,1,7]
[3,7,4,5,8,1,2,6]=>[8,1,3,7,4,2,5,6]
[3,7,8,1,4,5,2,6]=>[8,5,3,1,4,2,7,6]
[4,8,7,1,5,3,2,6]=>[7,3,5,4,1,2,8,6]
[5,8,2,1,6,3,4,7]=>[2,8,6,3,5,1,4,7]
[3,7,1,8,5,4,2,6]=>[7,4,3,5,8,2,1,6]
[4,8,1,3,7,5,2,6]=>[8,5,1,4,7,2,3,6]
[5,4,2,1,3,6,8,7]=>[2,4,1,5,3,6,8,7]
[2,5,3,8,4,6,7,1]=>[7,2,5,8,3,4,6,1]
[2,4,7,8,5,3,6,1]=>[6,2,5,4,8,3,7,1]
[4,8,3,1,5,7,2,6]=>[3,8,7,4,2,1,5,6]
[5,3,1,4,7,2,8,6]=>[3,5,7,2,4,8,1,6]
[5,3,1,7,4,2,8,6]=>[3,5,4,7,2,8,1,6]
[4,3,8,5,1,2,7,6]=>[5,1,4,3,8,7,2,6]
[2,4,7,5,8,3,6,1]=>[6,2,8,4,7,3,5,1]
[4,3,5,8,2,1,7,6]=>[2,8,4,3,5,7,1,6]
[4,8,5,3,7,1,2,6]=>[7,1,5,4,8,2,3,6]
[4,8,5,7,3,1,2,6]=>[3,1,7,4,8,2,5,6]
[4,8,7,5,1,3,2,6]=>[5,3,1,4,7,2,8,6]
[4,2,8,5,1,3,6,7]=>[5,4,1,2,8,3,6,7]
[3,7,8,4,1,5,2,6]=>[4,8,3,5,2,1,7,6]
[3,4,7,5,8,2,1,6]=>[2,8,3,4,7,1,5,6]
[3,4,5,7,2,8,1,6]=>[8,7,3,4,5,1,2,6]
[1,3,6,8,7,2,4,5]=>[1,7,3,2,4,6,8,5]
[1,5,4,8,7,2,3,6]=>[1,7,2,5,4,3,8,6]
[1,6,3,8,2,5,4,7]=>[1,8,6,5,2,3,4,7]
[1,8,5,7,2,4,3,6]=>[1,7,4,2,8,3,5,6]
[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]
[1,3,6,8,5,4,2,7]=>[1,4,3,5,8,6,2,7]
[1,6,3,8,4,5,2,7]=>[1,5,6,8,4,3,2,7]
[1,8,2,6,4,5,3,7]=>[1,8,5,6,4,2,3,7]
[1,5,2,7,4,8,3,6]=>[1,5,8,7,2,3,4,6]
[1,6,3,8,2,7,4,5]=>[1,8,6,7,4,3,2,5]
[1,4,2,7,5,8,3,6]=>[1,4,8,2,7,3,5,6]
[1,8,2,3,6,7,5,4]=>[1,8,2,5,7,3,6,4]
[1,3,6,8,2,7,5,4]=>[1,8,3,5,7,6,2,4]
[1,6,5,4,3,8,2,7]=>[1,8,4,5,6,3,2,7]
[1,8,3,4,5,6,2,7]=>[1,6,8,3,4,5,2,7]
[1,8,3,6,2,4,5,7]=>[1,6,8,2,4,3,5,7]
[1,8,3,6,2,5,4,7]=>[1,6,8,5,2,3,4,7]
[1,5,4,8,3,6,2,7]=>[1,6,8,5,4,3,2,7]
[1,4,5,8,3,6,2,7]=>[1,6,8,4,5,3,2,7]
[1,3,6,8,4,5,2,7]=>[1,5,3,8,4,6,2,7]
[1,2,7,8,4,5,3,6]=>[1,2,5,8,4,3,7,6]
[7,2,8,4,3,6,5,1]=>[5,6,4,7,8,1,3,2]
[7,2,8,5,6,3,4,1]=>[4,7,6,3,8,5,2,1]
[7,6,3,8,5,4,2,1]=>[2,4,5,8,6,7,3,1]
[6,2,8,7,5,4,1,3]=>[4,5,1,7,6,2,8,3]
[6,2,8,4,3,7,1,5]=>[7,6,4,8,1,2,3,5]
[5,2,8,4,3,1,7,6]=>[3,4,8,5,2,7,1,6]
[1,4,7,3,2,6,8,5]=>[1,3,7,4,8,2,6,5]
[1,5,7,3,6,2,8,4]=>[1,6,7,8,5,3,2,4]
[3,6,2,7,1,5,4,8]=>[7,6,3,5,1,2,4,8]
[1,2,5,4,8,3,7,6]=>[1,2,8,5,4,7,3,6]
[1,4,3,5,8,2,7,6]=>[1,8,4,3,5,7,2,6]
[1,4,3,6,8,7,2,5]=>[1,7,4,3,2,6,8,5]
[1,5,3,7,6,8,2,4]=>[1,8,5,2,3,7,6,4]
[1,6,4,5,7,8,2,3]=>[1,8,2,6,4,5,7,3]
[4,2,6,5,7,8,1,3]=>[8,4,1,2,6,5,7,3]
[3,2,5,7,6,8,1,4]=>[8,3,2,1,5,7,6,4]
[3,2,4,6,8,7,1,5]=>[7,3,2,4,1,6,8,5]
[6,3,2,7,4,8,5,1]=>[5,3,8,6,7,4,1,2]
[5,3,2,6,8,4,7,1]=>[7,3,5,8,2,6,4,1]
[4,1,8,7,5,2,6,3]=>[4,5,7,1,6,3,8,2]
[3,1,8,6,4,7,2,5]=>[3,7,1,6,2,8,4,5]
[3,1,6,8,5,4,2,7]=>[3,4,1,5,8,6,2,7]
[5,3,2,8,7,6,4,1]=>[4,3,6,5,1,7,8,2]
[2,4,8,1,7,6,3,5]=>[8,2,6,4,3,7,1,5]
[3,8,1,7,6,5,2,4]=>[8,5,3,2,6,7,1,4]
[4,8,1,5,3,6,2,7]=>[8,6,5,4,1,3,2,7]
[5,8,1,6,4,2,7,3]=>[8,4,6,7,5,1,3,2]
[5,4,2,6,7,3,1,8]=>[3,7,4,5,1,6,2,8]
[5,4,2,7,6,3,1,8]=>[3,6,4,5,1,7,2,8]
[5,3,8,2,7,6,1,4]=>[6,7,5,2,3,8,1,4]
[6,5,4,8,3,7,2,1]=>[2,7,8,5,6,4,3,1]
[6,3,5,7,2,4,1,8]=>[4,7,6,2,3,5,1,8]
[4,8,5,1,3,7,2,6]=>[5,8,2,4,7,1,3,6]
[2,6,8,5,1,4,3,7]=>[5,2,4,1,8,6,3,7]
[4,3,8,7,2,6,5,1]=>[5,6,4,3,7,1,8,2]
[4,3,6,8,2,5,7,1]=>[7,8,4,3,2,6,5,1]
[2,6,5,8,1,4,7,3]=>[8,2,7,1,6,5,4,3]
[2,7,5,1,8,4,6,3]=>[5,2,7,6,8,1,3,4]
[8,4,6,2,1,7,5,3]=>[2,6,5,7,8,3,1,4]
[7,8,5,2,1,6,4,3]=>[2,5,4,8,6,3,7,1]
[6,7,3,2,8,1,5,4]=>[8,3,7,5,1,6,2,4]
[7,6,4,8,1,2,5,3]=>[8,1,5,6,2,7,4,3]
[7,5,4,8,3,2,6,1]=>[6,3,8,5,7,2,4,1]
[7,8,4,3,1,6,2,5]=>[3,4,8,6,2,1,7,5]
[8,7,5,3,6,2,1,4]=>[2,6,5,1,7,3,8,4]
[8,6,4,7,3,2,1,5]=>[2,3,7,6,1,8,4,5]
[3,8,5,6,2,7,1,4]=>[7,6,3,1,8,5,2,4]
[2,4,5,8,7,3,1,6]=>[3,2,7,4,5,1,8,6]
[2,4,5,8,6,7,1,3]=>[7,2,1,4,5,8,6,3]
[4,3,1,5,6,2,8,7]=>[3,4,6,2,5,1,8,7]
[4,1,5,8,6,7,2,3]=>[4,7,2,1,5,8,6,3]
[4,3,7,6,1,2,8,5]=>[6,1,4,3,7,8,5,2]
[4,7,5,6,1,2,8,3]=>[6,1,8,4,7,5,2,3]
[4,3,7,5,6,2,8,1]=>[8,6,4,3,7,5,2,1]
[4,5,1,8,6,7,3,2]=>[5,3,7,4,1,8,6,2]
[3,4,5,8,6,7,2,1]=>[2,7,3,4,5,8,6,1]
[2,1,5,8,6,7,4,3]=>[2,1,4,7,5,8,6,3]
[3,4,5,8,7,1,2,6]=>[7,1,3,4,5,2,8,6]
[4,7,1,5,6,2,8,3]=>[7,6,8,4,1,5,2,3]
[2,6,4,7,1,3,8,5]=>[7,2,1,6,8,4,3,5]
[5,3,8,6,4,7,2,1]=>[2,7,5,6,3,8,4,1]
[6,4,1,5,7,8,3,2]=>[4,3,6,8,2,5,7,1]
[3,6,4,7,2,1,8,5]=>[2,7,3,6,8,4,1,5]
[3,8,4,6,1,7,2,5]=>[6,7,3,8,2,4,1,5]
[3,8,5,6,4,7,2,1]=>[2,7,3,6,8,5,4,1]
[3,8,4,5,6,7,2,1]=>[2,7,3,8,4,5,6,1]
[3,8,6,5,2,7,4,1]=>[4,7,3,5,6,8,1,2]
[3,8,7,5,2,1,4,6]=>[2,5,3,1,7,4,8,6]
[3,8,6,5,1,7,2,4]=>[5,6,3,2,8,7,1,4]
[6,4,1,7,3,2,8,5]=>[4,3,6,7,8,2,1,5]
[5,1,4,6,7,2,8,3]=>[5,7,8,1,4,6,2,3]
[6,5,4,7,1,3,8,2]=>[7,8,1,5,6,4,3,2]
[2,1,6,5,3,7,8,4]=>[2,1,5,6,8,4,7,3]
[6,1,4,7,2,3,8,5]=>[6,7,2,1,8,4,3,5]
[1,6,2,5,4,8,3,7]=>[1,6,8,5,2,4,3,7]
[4,1,2,7,5,8,3,6]=>[4,1,8,2,7,3,5,6]
[6,1,3,5,8,2,4,7]=>[6,8,1,2,3,5,4,7]
[5,6,4,3,1,8,2,7]=>[3,4,6,8,5,1,2,7]
[6,2,3,5,8,1,4,7]=>[8,6,2,1,3,5,4,7]
[6,7,2,3,8,4,5,1]=>[5,7,2,8,4,6,3,1]
[6,7,2,1,3,8,4,5]=>[2,7,1,8,4,6,3,5]
[5,7,4,1,8,3,2,6]=>[4,3,7,8,5,1,2,6]
[4,1,7,5,8,3,6,2]=>[4,6,8,1,7,3,5,2]
[6,7,1,3,8,4,5,2]=>[7,5,1,8,4,6,3,2]
[1,6,7,4,3,8,5,2]=>[1,5,4,8,7,6,2,3]
[6,1,7,4,2,8,5,3]=>[6,4,7,5,8,1,3,2]
[2,1,6,7,4,3,8,5]=>[2,1,4,7,8,6,3,5]
[6,7,3,2,1,8,4,5]=>[2,3,7,8,4,6,1,5]
[2,5,7,3,1,4,8,6]=>[3,2,7,1,5,8,4,6]
[6,7,3,2,8,4,5,1]=>[5,3,7,8,4,6,2,1]
[1,2,6,7,4,3,8,5]=>[1,2,4,7,8,6,3,5]
[2,7,1,8,4,6,3,5]=>[7,2,6,8,3,4,1,5]
[2,7,5,8,1,6,3,4]=>[8,2,6,3,7,1,5,4]
[6,7,1,8,4,5,3,2]=>[7,3,5,8,4,6,1,2]
[8,3,7,6,1,2,5,4]=>[6,1,7,5,3,8,2,4]
[8,7,3,4,6,2,5,1]=>[5,6,7,3,2,4,8,1]
[8,2,5,7,1,4,6,3]=>[7,8,6,1,2,4,5,3]
[8,2,4,7,1,5,6,3]=>[7,8,6,2,1,5,4,3]
[8,2,3,4,7,1,5,6]=>[7,8,2,3,1,5,4,6]
[8,7,3,5,6,2,4,1]=>[4,6,7,2,3,5,8,1]
[8,7,4,6,5,2,3,1]=>[3,5,2,6,7,1,8,4]
[8,4,6,7,5,1,2,3]=>[5,1,2,7,8,3,6,4]
[8,4,6,7,5,1,3,2]=>[5,3,1,7,8,2,6,4]
[8,3,5,7,6,1,4,2]=>[6,4,7,3,1,8,5,2]
[8,7,3,6,2,1,5,4]=>[2,6,7,5,1,3,8,4]
[8,7,3,4,6,2,1,5]=>[2,6,7,3,1,4,8,5]
[8,7,4,6,5,2,1,3]=>[2,5,1,6,7,3,8,4]
[8,6,5,2,7,4,3,1]=>[3,4,7,5,6,8,2,1]
[8,4,3,7,6,5,1,2]=>[5,1,4,6,7,8,3,2]
[8,5,6,7,4,1,3,2]=>[4,3,1,7,8,5,6,2]
[8,5,7,6,4,1,2,3]=>[4,1,2,6,7,8,3,5]
[8,4,2,7,5,1,6,3]=>[5,4,7,8,6,3,2,1]
[8,3,4,2,7,5,6,1]=>[6,4,8,3,7,5,2,1]
[8,4,7,6,5,1,2,3]=>[5,1,2,6,7,8,4,3]
[8,3,5,2,7,4,6,1]=>[6,5,8,7,3,4,2,1]
[8,5,2,6,7,4,1,3]=>[4,7,2,5,8,1,6,3]
[8,5,3,7,6,4,1,2]=>[4,1,6,5,7,8,3,2]
[8,6,2,5,7,3,1,4]=>[3,7,6,2,1,8,5,4]
[8,6,2,4,7,3,1,5]=>[3,7,6,1,2,8,4,5]
[8,5,2,3,7,4,1,6]=>[4,7,1,5,8,2,3,6]
[8,5,3,2,7,6,4,1]=>[4,3,6,5,7,8,2,1]
[8,5,1,7,3,6,2,4]=>[5,8,6,3,7,1,2,4]
[8,6,1,5,4,3,2,7]=>[6,3,4,5,1,8,2,7]
[2,4,5,8,3,1,6,7]=>[3,2,8,4,5,1,6,7]
[2,7,4,6,1,5,8,3]=>[6,2,8,7,1,4,5,3]
[2,6,3,7,1,8,5,4]=>[7,2,6,5,8,3,1,4]
[2,5,3,4,8,1,6,7]=>[8,2,5,3,4,1,6,7]
[2,4,3,8,5,1,6,7]=>[5,2,4,3,8,1,6,7]
[2,3,8,4,5,1,6,7]=>[5,2,3,8,4,1,6,7]
[6,8,2,4,5,3,1,7]=>[3,5,8,1,4,6,2,7]
[8,7,3,1,5,4,6,2]=>[3,7,6,5,2,4,8,1]
[7,8,3,2,5,4,6,1]=>[6,3,8,5,2,4,7,1]
[7,2,8,3,5,4,6,1]=>[6,7,8,5,3,4,2,1]
[6,2,5,4,8,3,1,7]=>[3,8,6,5,1,4,2,7]
[5,2,6,7,3,8,1,4]=>[8,5,7,1,2,6,3,4]
[5,4,7,6,3,1,8,2]=>[3,6,7,5,4,8,1,2]
[1,5,6,7,3,8,2,4]=>[1,8,7,2,5,6,3,4]
[1,6,5,4,8,3,2,7]=>[1,3,8,5,6,4,2,7]
[1,6,4,8,5,3,2,7]=>[1,3,5,8,6,2,4,7]
[8,2,4,3,1,5,6,7]=>[3,4,8,1,2,5,6,7]
[1,7,3,5,8,4,6,2]=>[1,6,7,8,3,4,5,2]
[6,3,1,7,4,5,8,2]=>[3,6,8,7,4,2,5,1]
[7,2,1,6,4,8,5,3]=>[2,7,5,8,6,1,3,4]
[7,2,3,5,8,4,6,1]=>[6,7,2,8,3,4,5,1]
[4,8,3,1,2,5,6,7]=>[3,1,8,4,2,5,6,7]
[4,8,1,3,2,5,6,7]=>[8,3,1,4,2,5,6,7]
[6,5,4,8,2,3,1,7]=>[3,8,2,5,6,4,1,7]
[7,5,8,3,2,4,6,1]=>[6,3,8,2,7,4,5,1]
[8,7,5,1,3,4,6,2]=>[5,7,2,3,6,4,8,1]
[8,7,2,1,4,6,5,3]=>[2,7,5,1,6,4,8,3]
[7,1,8,3,4,6,5,2]=>[7,5,6,2,8,4,1,3]
[4,1,5,3,8,6,2,7]=>[4,6,5,1,3,8,2,7]
[3,8,7,2,4,6,5,1]=>[5,6,3,1,7,4,8,2]
[4,6,5,1,8,3,2,7]=>[5,3,6,4,8,2,1,7]
[6,5,7,1,3,2,8,4]=>[7,3,1,8,6,5,2,4]
[2,7,3,6,4,8,5,1]=>[5,2,8,7,6,4,1,3]
[3,7,1,5,8,4,6,2]=>[7,6,3,8,1,4,5,2]
[3,8,4,1,2,5,6,7]=>[4,1,3,8,2,5,6,7]
[3,8,1,4,2,5,6,7]=>[8,4,3,1,2,5,6,7]
[2,1,8,4,3,5,6,7]=>[2,1,4,8,3,5,6,7]
[3,2,7,6,4,8,5,1]=>[5,3,2,8,6,7,1,4]
[3,1,6,7,4,5,8,2]=>[3,8,1,7,4,6,5,2]
[1,3,7,6,4,8,5,2]=>[1,5,3,8,6,7,2,4]
[1,2,7,5,8,4,6,3]=>[1,2,6,8,7,4,5,3]
[3,1,8,7,6,4,2,5]=>[3,4,1,6,2,7,8,5]
[3,1,8,7,5,4,2,6]=>[3,4,1,5,7,2,8,6]
[3,1,7,6,5,4,2,8]=>[3,4,1,5,6,7,2,8]
[4,7,1,6,5,3,2,8]=>[7,3,5,4,6,1,2,8]
[4,8,1,6,5,3,2,7]=>[8,3,5,4,6,1,2,7]
[8,4,1,7,6,3,2,5]=>[4,3,8,6,1,7,2,5]
[5,4,1,8,6,3,2,7]=>[4,3,5,6,2,8,1,7]
[5,4,1,7,6,3,2,8]=>[4,3,5,6,2,7,1,8]
[6,4,1,8,5,3,2,7]=>[4,3,6,5,8,2,1,7]
[8,4,1,7,5,3,2,6]=>[4,3,8,5,7,1,2,6]
[7,4,1,6,5,3,2,8]=>[4,3,7,5,6,2,1,8]
[7,5,6,1,4,3,2,8]=>[6,3,4,1,7,5,2,8]
[8,5,6,1,4,3,2,7]=>[6,3,4,1,8,5,2,7]
[8,5,7,1,4,3,2,6]=>[7,3,4,1,8,2,5,6]
[5,7,6,1,4,3,2,8]=>[6,3,4,1,5,7,2,8]
[5,8,6,1,4,3,2,7]=>[6,3,4,1,5,8,2,7]
[6,7,5,1,4,3,2,8]=>[5,3,4,1,7,6,2,8]
[8,7,5,1,4,3,2,6]=>[5,3,4,1,7,2,8,6]
[8,6,5,1,4,3,2,7]=>[5,3,4,1,6,8,2,7]
[3,1,5,2,7,6,4,8]=>[3,5,1,6,2,7,4,8]
[3,1,6,7,8,5,4,2]=>[3,4,1,5,8,6,7,2]
[8,6,1,7,2,5,3,4]=>[6,8,5,3,1,7,2,4]
[1,8,6,3,4,2,5,7]=>[1,4,6,3,2,8,5,7]
[3,1,6,4,5,8,7,2]=>[3,7,1,6,4,5,8,2]
[3,1,6,4,5,2,7,8]=>[3,5,1,6,4,2,7,8]
[3,1,6,7,8,5,2,4]=>[3,5,1,2,8,6,7,4]
[3,1,6,4,5,8,2,7]=>[3,8,1,6,4,5,2,7]
[3,1,6,4,5,7,2,8]=>[3,7,1,6,4,5,2,8]
[3,1,6,4,5,7,8,2]=>[3,8,1,6,4,5,7,2]
[8,1,6,3,4,7,5,2]=>[8,5,7,2,6,1,4,3]
[1,8,6,3,4,2,7,5]=>[1,4,6,3,8,7,5,2]
[4,6,7,3,2,1,8,5]=>[2,3,7,4,8,6,1,5]
[4,6,8,7,2,5,1,3]=>[5,7,1,4,2,6,8,3]
[4,6,8,3,5,2,1,7]=>[2,5,8,4,3,6,1,7]
[5,6,3,7,4,2,8,1]=>[8,4,7,6,5,2,3,1]
[6,2,3,7,5,1,8,4]=>[5,7,1,6,8,4,2,3]
[6,2,3,1,7,5,8,4]=>[3,6,2,8,7,1,5,4]
[7,6,3,1,4,8,5,2]=>[3,6,5,1,7,8,4,2]
[6,1,7,3,5,2,8,4]=>[6,5,7,8,3,1,2,4]
[7,1,6,3,4,5,2,8]=>[7,5,6,3,4,1,2,8]
[7,1,6,3,4,5,8,2]=>[7,8,6,3,4,1,5,2]
[8,6,3,1,4,5,2,7]=>[3,6,5,2,4,8,1,7]
[7,6,3,8,4,5,2,1]=>[2,5,6,7,3,8,4,1]
[6,2,7,8,5,4,3,1]=>[3,4,5,8,6,1,7,2]
[6,8,1,7,4,5,3,2]=>[8,3,5,7,4,6,1,2]
[5,2,1,4,7,6,8,3]=>[2,5,8,1,4,7,6,3]
[5,2,1,4,7,3,8,6]=>[2,5,7,1,4,8,3,6]
[4,2,5,1,7,6,3,8]=>[5,4,6,2,1,7,3,8]
[8,2,7,6,1,4,3,5]=>[6,7,4,2,3,8,1,5]
[5,2,7,8,1,4,3,6]=>[8,5,4,1,2,3,7,6]
[5,2,7,6,8,4,3,1]=>[3,4,8,5,2,7,6,1]
[5,6,3,8,4,1,2,7]=>[4,1,8,6,5,2,3,7]
[4,6,7,3,5,1,8,2]=>[5,8,7,4,3,6,1,2]
[4,6,7,3,5,1,2,8]=>[5,1,7,4,3,6,2,8]
[4,7,6,3,1,2,8,5]=>[3,1,6,4,7,8,5,2]
[7,2,3,6,1,5,8,4]=>[6,7,2,8,1,3,5,4]
[8,2,7,6,1,4,5,3]=>[6,7,5,2,4,8,1,3]
[5,2,3,4,7,1,6,8]=>[7,5,2,3,4,1,6,8]
[5,2,3,4,8,1,7,6]=>[8,5,2,3,4,7,1,6]
[5,2,3,7,1,6,8,4]=>[7,5,2,8,3,1,6,4]
[5,2,3,4,7,8,1,6]=>[8,5,2,3,4,1,7,6]
[8,7,5,3,1,6,4,2]=>[3,5,4,7,6,1,8,2]
[3,7,4,2,5,1,6,8]=>[5,4,3,7,2,1,6,8]
[1,4,7,8,5,2,3,6]=>[1,5,2,4,8,3,7,6]
[3,2,6,7,4,1,5,8]=>[4,3,2,7,1,6,5,8]
[6,7,3,5,1,8,4,2]=>[5,4,8,7,2,6,1,3]
[7,6,3,5,2,1,4,8]=>[2,5,6,1,3,7,4,8]
[4,6,3,2,5,8,1,7]=>[8,3,6,4,2,5,1,7]
[2,6,8,7,4,1,3,5]=>[4,2,1,7,3,6,8,5]
[5,8,3,7,6,4,1,2]=>[4,1,6,7,5,8,3,2]
[6,5,1,7,2,4,8,3]=>[5,6,7,3,8,2,4,1]
[3,6,7,1,4,2,5,8]=>[7,4,3,1,2,6,5,8]
[4,7,5,8,2,1,3,6]=>[2,8,1,4,7,3,5,6]
[6,1,5,2,7,4,3,8]=>[6,5,4,7,1,2,3,8]
[8,1,2,7,5,4,3,6]=>[8,1,4,5,7,3,2,6]
[6,5,1,8,3,7,2,4]=>[5,6,7,3,8,2,1,4]
[8,1,5,3,2,6,4,7]=>[8,3,5,6,1,2,4,7]
[1,8,3,6,5,4,2,7]=>[1,4,5,6,8,3,2,7]
[7,6,1,5,4,3,2,8]=>[6,3,4,5,1,7,2,8]
[4,6,5,2,8,1,3,7]=>[8,5,1,4,6,2,3,7]
[5,3,1,7,4,6,2,8]=>[3,5,6,7,2,4,1,8]
[1,8,7,5,3,2,6,4]=>[1,3,5,7,6,4,8,2]
[5,1,7,6,3,2,8,4]=>[5,3,6,7,1,8,4,2]
[4,7,6,2,5,1,3,8]=>[5,6,1,4,2,7,3,8]
[4,7,3,1,5,6,8,2]=>[3,7,8,4,2,5,6,1]
[7,8,1,5,4,2,3,6]=>[8,4,2,5,1,3,7,6]
[2,1,8,4,5,6,3,7]=>[2,1,6,8,4,5,3,7]
[2,7,5,1,4,6,3,8]=>[5,2,7,3,6,4,1,8]
[7,2,1,4,5,3,8,6]=>[2,7,5,1,4,8,3,6]
[3,4,6,8,1,5,7,2]=>[8,7,3,4,1,6,5,2]
[4,2,5,6,1,3,7,8]=>[6,4,1,2,5,3,7,8]
[5,7,6,1,4,3,8,2]=>[6,7,4,2,5,8,3,1]
[6,8,1,7,5,4,2,3]=>[8,4,2,5,7,6,1,3]
[7,6,3,1,2,8,5,4]=>[3,1,6,5,7,8,4,2]
[5,6,7,1,4,2,8,3]=>[7,4,8,1,5,6,2,3]
[6,3,5,7,1,4,2,8]=>[7,4,6,1,3,5,2,8]
[5,2,6,7,4,8,1,3]=>[8,5,1,7,2,6,4,3]
[6,7,5,2,4,1,3,8]=>[4,5,1,2,7,6,3,8]
[5,7,6,1,3,4,8,2]=>[6,7,2,3,5,8,4,1]
[7,5,6,4,8,1,3,2]=>[8,3,1,6,7,5,4,2]
[1,7,5,2,6,4,8,3]=>[1,5,7,8,6,3,2,4]
[7,1,3,6,8,2,4,5]=>[7,8,1,2,4,3,6,5]
[1,2,5,7,8,4,6,3]=>[1,2,6,8,5,4,7,3]
[3,1,2,7,5,4,8,6]=>[3,1,2,5,7,8,4,6]
[6,7,4,1,3,2,8,5]=>[4,3,1,7,8,6,2,5]
[1,7,2,8,4,3,5,6]=>[1,7,4,8,3,5,2,6]
[1,6,3,5,7,8,2,4]=>[1,8,6,2,3,5,7,4]
[8,6,1,7,5,2,4,3]=>[6,5,4,1,8,7,2,3]
[7,6,4,1,8,3,2,5]=>[4,3,6,7,2,8,1,5]
[8,4,1,6,5,2,7,3]=>[4,8,5,6,7,2,1,3]
[1,5,3,4,7,8,2,6]=>[1,8,5,3,4,2,7,6]
[4,2,1,5,7,8,3,6]=>[2,4,8,1,5,3,7,6]
[5,4,1,6,7,8,2,3]=>[4,5,1,8,2,6,7,3]
[5,1,4,6,7,8,2,3]=>[5,8,2,1,4,6,7,3]
[4,1,5,3,7,8,2,6]=>[4,8,5,1,3,2,7,6]
[8,1,4,6,5,2,7,3]=>[8,5,6,1,7,4,3,2]
[7,1,5,4,6,3,2,8]=>[7,3,6,5,1,4,2,8]
[8,2,1,6,7,5,4,3]=>[2,8,4,5,7,1,6,3]
[1,2,4,7,6,3,8,5]=>[1,2,6,4,7,8,5,3]
[6,7,4,1,8,5,2,3]=>[4,7,1,5,8,6,2,3]
[8,6,4,1,5,7,3,2]=>[4,3,6,8,1,7,5,2]
[5,2,4,3,7,1,6,8]=>[7,5,4,2,3,1,6,8]
[6,1,5,4,8,3,2,7]=>[6,3,8,5,1,4,2,7]
[1,2,8,7,4,3,6,5]=>[1,2,4,7,6,3,8,5]
[3,2,1,7,5,8,4,6]=>[2,3,1,8,7,4,5,6]
[1,3,6,4,7,8,2,5]=>[1,8,3,6,2,4,7,5]
[4,5,1,3,7,8,2,6]=>[5,8,1,4,3,2,7,6]
[5,2,3,1,7,8,4,6]=>[3,5,2,8,1,4,7,6]
[1,6,4,3,7,8,2,5]=>[1,8,4,6,2,3,7,5]
[7,6,4,3,1,5,2,8]=>[3,4,6,5,1,7,2,8]
[7,5,4,6,1,3,2,8]=>[6,3,1,5,7,4,2,8]
[8,4,6,5,1,2,7,3]=>[5,1,6,7,8,2,3,4]
[1,5,6,3,7,8,2,4]=>[1,8,6,2,5,3,7,4]
[6,8,3,5,7,2,4,1]=>[4,7,8,2,3,6,5,1]
[1,5,2,4,3,8,7,6]=>[1,5,4,2,3,7,8,6]
[8,6,5,7,2,1,4,3]=>[2,7,4,1,6,8,5,3]
[8,5,6,1,4,7,3,2]=>[6,3,7,1,8,5,4,2]
[1,6,3,8,4,5,7,2]=>[1,7,6,8,4,3,5,2]
[7,5,4,2,6,3,8,1]=>[8,4,5,7,6,2,3,1]
[7,1,4,3,2,8,6,5]=>[7,3,4,1,6,8,2,5]
[2,3,8,4,7,5,6,1]=>[6,2,3,8,7,5,4,1]
[3,7,2,8,6,4,5,1]=>[5,7,3,6,4,8,2,1]
[3,7,2,4,8,5,6,1]=>[6,7,3,2,8,5,4,1]
[3,7,4,6,2,5,8,1]=>[8,6,3,7,2,4,5,1]
[6,2,7,3,1,8,4,5]=>[3,7,6,8,4,1,2,5]
[6,3,7,5,8,2,4,1]=>[4,8,6,2,7,3,5,1]
[4,3,7,8,6,2,5,1]=>[5,6,4,3,2,8,7,1]
[3,8,1,7,5,2,4,6]=>[8,5,3,2,7,4,1,6]
[8,2,3,4,7,5,6,1]=>[6,8,2,3,7,5,4,1]
[2,4,7,8,6,1,5,3]=>[6,2,5,4,1,8,7,3]
[2,6,7,3,8,5,1,4]=>[5,2,8,3,7,6,1,4]
[2,4,8,5,1,7,3,6]=>[5,2,8,4,7,1,3,6]
[2,8,3,5,1,6,4,7]=>[5,2,8,6,3,1,4,7]
[8,2,4,6,3,7,5,1]=>[5,7,8,3,6,4,1,2]
[8,2,4,6,3,5,7,1]=>[7,8,6,2,3,4,5,1]
[2,8,3,5,1,4,6,7]=>[5,2,8,1,3,4,6,7]
[3,4,6,2,5,7,8,1]=>[8,6,3,4,2,5,7,1]
[4,5,2,6,1,7,8,3]=>[6,5,8,4,2,1,7,3]
[3,6,5,7,8,1,2,4]=>[8,1,3,2,6,5,7,4]
[4,5,3,8,2,1,7,6]=>[2,8,5,4,3,7,1,6]
[4,8,3,2,5,1,6,7]=>[5,3,8,4,2,1,6,7]
[2,5,4,8,3,7,1,6]=>[7,2,8,5,4,1,3,6]
[5,8,3,1,7,4,2,6]=>[3,8,4,7,5,1,2,6]
[5,4,8,6,1,3,2,7]=>[6,3,1,5,4,8,2,7]
[4,7,5,2,6,8,3,1]=>[3,8,5,4,7,1,6,2]
[5,7,4,2,8,6,3,1]=>[3,6,4,8,5,7,2,1]
[4,6,2,3,8,5,7,1]=>[7,6,2,4,8,3,5,1]
[3,7,2,4,5,6,8,1]=>[8,7,3,2,4,5,6,1]
[6,2,7,1,4,5,8,3]=>[7,6,8,1,4,2,5,3]
[5,2,7,1,3,8,6,4]=>[7,5,1,6,2,8,3,4]
[4,3,7,8,2,5,6,1]=>[6,8,4,3,2,5,7,1]
[6,3,8,5,1,2,4,7]=>[5,1,8,3,6,2,4,7]
[8,5,3,4,7,2,6,1]=>[6,7,5,3,8,2,4,1]
[5,2,4,7,1,6,8,3]=>[7,5,8,2,4,1,6,3]
[4,3,5,8,2,7,1,6]=>[7,8,4,3,5,1,2,6]
[4,3,8,2,5,6,1,7]=>[6,8,4,3,2,5,1,7]
[3,8,1,2,4,7,5,6]=>[8,1,3,2,7,5,4,6]
[1,4,6,2,7,5,3,8]=>[1,6,5,4,7,2,3,8]
[8,2,7,5,1,4,6,3]=>[5,7,8,2,6,4,3,1]
[1,7,4,6,8,3,5,2]=>[1,5,8,7,3,4,6,2]
[8,2,1,4,5,6,7,3]=>[2,8,7,1,4,5,6,3]
[7,3,1,2,5,6,4,8]=>[3,1,7,6,2,5,4,8]
[7,2,4,1,5,8,6,3]=>[4,7,6,2,1,8,5,3]
[7,8,2,1,5,4,6,3]=>[2,8,6,5,1,4,7,3]
[1,4,2,8,6,5,3,7]=>[1,4,5,2,6,8,3,7]
[1,4,8,5,2,6,3,7]=>[1,5,8,4,6,3,2,7]
[1,5,2,4,6,3,8,7]=>[1,5,6,2,4,3,8,7]
[1,8,5,3,2,6,4,7]=>[1,3,5,8,6,4,2,7]
[6,4,1,3,2,5,8,7]=>[4,3,1,6,2,5,8,7]
[5,2,3,7,8,1,6,4]=>[8,5,2,6,3,1,7,4]
[5,2,8,6,3,1,7,4]=>[3,6,5,8,1,7,4,2]
[6,2,3,5,1,8,7,4]=>[5,6,2,7,3,1,8,4]
[7,6,3,4,2,8,1,5]=>[8,4,6,3,1,7,2,5]
[6,2,4,5,7,8,1,3]=>[8,6,1,2,4,5,7,3]
[8,6,3,2,5,7,1,4]=>[7,3,6,1,2,8,5,4]
[6,2,5,3,7,1,8,4]=>[7,6,5,8,2,3,1,4]
[8,5,3,6,7,2,1,4]=>[2,7,5,1,8,3,6,4]
[4,5,7,8,6,2,1,3]=>[2,6,1,4,5,8,7,3]
[1,2,8,4,3,6,7,5]=>[1,2,4,8,7,3,6,5]
[1,8,3,2,4,6,7,5]=>[1,3,8,2,7,4,6,5]
[1,2,7,5,3,4,6,8]=>[1,2,5,3,7,4,6,8]
[1,2,7,4,5,3,8,6]=>[1,2,5,7,4,8,3,6]
[1,7,3,2,6,8,4,5]=>[1,3,7,8,4,2,6,5]
[8,2,7,1,4,3,5,6]=>[7,8,4,1,3,5,2,6]
[7,2,1,3,6,8,4,5]=>[2,7,1,8,4,3,6,5]
[6,2,1,7,8,3,4,5]=>[2,6,8,3,4,1,7,5]
[4,6,5,2,7,1,8,3]=>[7,5,6,4,8,3,1,2]
[6,7,2,5,3,1,8,4]=>[3,5,7,8,1,6,2,4]
[3,7,2,5,4,1,8,6]=>[4,5,3,7,1,8,2,6]
[7,4,2,6,3,1,8,5]=>[3,6,4,7,8,1,2,5]
[2,6,4,7,5,1,8,3]=>[5,2,7,8,6,1,3,4]
[3,4,7,6,5,1,8,2]=>[5,6,3,4,7,8,1,2]
[3,4,7,6,2,8,5,1]=>[5,8,3,4,6,7,1,2]
[4,7,8,2,6,5,3,1]=>[3,5,6,4,8,2,7,1]
[4,7,8,1,6,5,3,2]=>[8,3,5,4,6,1,7,2]
[3,6,7,1,5,4,2,8]=>[7,4,3,5,1,6,2,8]
[3,5,8,6,1,4,2,7]=>[6,4,3,1,5,8,2,7]
[1,6,4,7,2,8,5,3]=>[1,7,5,8,6,3,2,4]
[1,3,7,5,2,8,4,6]=>[1,5,3,7,8,2,4,6]
[1,4,7,6,3,8,5,2]=>[1,5,8,4,6,7,2,3]
[1,7,8,2,6,5,4,3]=>[1,8,4,5,6,2,7,3]
[1,3,6,2,7,5,4,8]=>[1,6,3,5,7,2,4,8]
[1,8,2,6,5,4,3,7]=>[1,8,4,5,6,2,3,7]
[1,3,8,2,7,5,4,6]=>[1,8,3,5,7,4,2,6]
[1,8,4,2,7,6,3,5]=>[1,4,8,6,2,7,3,5]
[2,6,1,7,5,4,3,8]=>[6,2,4,5,7,1,3,8]
[2,7,1,6,5,4,3,8]=>[7,2,4,5,6,1,3,8]
[8,7,2,6,5,4,3,1]=>[3,4,5,6,7,1,8,2]
[8,2,1,6,5,4,3,7]=>[2,8,4,5,6,1,3,7]
[7,4,2,8,1,6,3,5]=>[8,4,7,6,2,1,3,5]
[5,2,8,6,1,4,3,7]=>[6,5,4,1,2,8,3,7]
[8,3,7,1,5,4,2,6]=>[7,4,5,8,1,3,2,6]
[7,3,8,1,6,5,4,2]=>[8,4,5,6,7,1,3,2]
[7,3,8,2,6,5,4,1]=>[4,5,6,8,7,1,2,3]
[4,6,5,3,1,7,2,8]=>[3,5,6,4,7,1,2,8]
[5,3,6,1,2,8,7,4]=>[6,1,5,7,3,2,8,4]
[3,5,4,1,2,8,7,6]=>[4,1,3,5,2,7,8,6]
[4,6,5,1,2,8,7,3]=>[5,1,6,4,7,3,8,2]
[6,8,1,2,7,5,3,4]=>[8,1,5,3,7,6,2,4]
[4,6,2,3,8,7,5,1]=>[5,7,1,4,6,3,8,2]
[3,2,7,4,8,6,5,1]=>[5,3,2,6,8,7,4,1]
[8,1,6,2,7,5,4,3]=>[8,6,4,5,7,1,2,3]
[5,2,1,7,3,8,6,4]=>[2,5,7,6,1,8,3,4]
[6,1,2,8,5,4,3,7]=>[6,1,4,5,8,2,3,7]
[7,1,3,8,6,5,4,2]=>[7,4,1,5,6,8,3,2]
[7,2,3,8,6,5,4,1]=>[4,5,1,6,8,7,3,2]
[8,1,3,7,6,5,4,2]=>[8,4,1,5,6,7,3,2]
[1,3,7,4,8,6,5,2]=>[1,5,3,6,8,7,4,2]
[2,4,1,8,7,3,6,5]=>[4,2,7,1,6,3,8,5]
[2,8,5,1,7,3,6,4]=>[5,2,8,7,6,4,3,1]
[3,5,1,7,2,6,4,8]=>[5,7,3,6,1,2,4,8]
[2,8,1,5,4,3,7,6]=>[8,2,4,5,1,7,3,6]
[2,8,6,1,5,4,3,7]=>[6,2,4,5,1,8,3,7]
[2,6,1,5,8,4,3,7]=>[6,2,4,8,1,5,3,7]
[2,8,1,5,4,3,6,7]=>[8,2,4,5,1,3,6,7]
[7,4,6,1,5,3,2,8]=>[6,3,5,7,1,4,2,8]
[8,4,6,1,5,3,2,7]=>[6,3,5,8,1,4,2,7]
[7,3,8,6,1,5,4,2]=>[6,4,5,8,2,7,1,3]
[3,5,1,6,8,4,2,7]=>[5,4,3,8,1,6,2,7]
[3,5,1,7,8,2,6,4]=>[5,8,3,6,1,2,7,4]
[3,7,8,6,1,5,4,2]=>[6,4,3,5,1,8,7,2]
[7,8,4,6,1,5,3,2]=>[6,3,5,8,1,4,7,2]
[4,6,1,5,3,2,7,8]=>[6,3,5,4,1,2,7,8]
[5,4,7,8,2,1,6,3]=>[2,8,6,5,4,1,7,3]
[5,4,6,8,3,2,1,7]=>[2,3,8,5,4,6,1,7]
[6,4,5,8,3,2,1,7]=>[2,3,8,6,4,5,1,7]
[7,4,5,8,2,1,6,3]=>[2,8,6,7,4,1,5,3]
[7,4,6,8,1,5,3,2]=>[8,3,5,7,1,4,6,2]
[5,3,6,1,8,4,2,7]=>[6,4,8,5,2,1,3,7]
[6,3,8,7,1,5,4,2]=>[7,4,5,6,1,2,8,3]
[8,6,4,7,1,5,3,2]=>[7,3,5,6,1,8,4,2]
[6,4,7,1,5,3,2,8]=>[7,3,5,6,1,4,2,8]
[5,4,7,2,1,6,3,8]=>[2,7,6,5,4,1,3,8]
[8,4,5,7,2,1,6,3]=>[2,7,6,8,4,1,5,3]
[8,5,4,7,2,1,6,3]=>[2,7,6,5,8,1,4,3]
[3,4,6,2,1,8,5,7]=>[2,6,3,4,8,1,5,7]
[4,5,7,2,1,6,3,8]=>[2,7,6,4,5,1,3,8]
[4,6,7,1,5,3,2,8]=>[7,3,5,4,1,6,2,8]
[5,6,4,8,3,2,1,7]=>[2,3,8,6,5,4,1,7]
[5,7,4,8,2,1,6,3]=>[2,8,6,7,5,1,4,3]
[4,7,6,8,1,5,3,2]=>[8,3,5,4,1,7,6,2]
[4,7,5,8,2,1,6,3]=>[2,8,6,4,7,1,5,3]
[3,6,1,7,2,8,5,4]=>[6,7,3,5,8,1,2,4]
[5,7,4,2,6,3,8,1]=>[8,4,7,6,5,3,2,1]
[5,7,4,1,6,2,8,3]=>[4,7,6,8,5,2,3,1]
[7,8,3,1,5,2,6,4]=>[3,8,5,6,2,1,7,4]
[8,3,4,1,7,5,2,6]=>[4,5,7,2,8,3,1,6]
[6,8,7,3,1,4,2,5]=>[3,7,4,2,1,6,8,5]
[8,5,6,1,7,3,2,4]=>[6,3,7,2,8,5,1,4]
[4,5,1,6,7,8,3,2]=>[5,3,8,4,1,6,7,2]
[5,8,2,6,7,4,1,3]=>[4,7,2,8,5,1,6,3]
[5,6,8,2,1,7,3,4]=>[2,8,7,3,5,6,1,4]
[6,4,8,7,2,1,3,5]=>[2,7,1,6,3,4,8,5]
[4,5,2,6,1,3,8,7]=>[6,5,1,4,2,3,8,7]
[5,1,6,8,2,7,3,4]=>[5,8,7,3,1,6,2,4]
[5,2,6,3,4,7,8,1]=>[8,5,6,3,2,4,7,1]
[4,6,2,3,5,7,8,1]=>[8,6,2,4,3,5,7,1]
[8,3,6,5,7,1,2,4]=>[7,1,8,2,6,3,5,4]
[8,2,3,7,1,5,4,6]=>[7,8,2,5,1,4,3,6]
[2,8,6,7,3,1,4,5]=>[3,2,7,1,4,8,6,5]
[8,4,6,7,2,5,1,3]=>[5,7,1,8,2,4,6,3]
[3,4,6,7,2,5,8,1]=>[8,7,3,4,2,6,5,1]
[7,1,4,6,8,3,5,2]=>[7,5,8,1,3,4,6,2]
[7,8,2,6,1,4,5,3]=>[6,8,5,1,4,2,7,3]
[7,5,8,2,1,3,6,4]=>[2,8,1,6,7,3,5,4]
[3,7,1,5,6,8,4,2]=>[7,4,3,8,1,5,6,2]
[6,7,1,2,4,8,5,3]=>[7,1,5,2,8,6,4,3]
[1,6,3,4,7,8,5,2]=>[1,5,8,2,6,4,7,3]
[2,3,6,4,7,5,8,1]=>[8,2,3,6,7,4,5,1]
[2,5,3,7,4,6,8,1]=>[8,2,5,7,3,4,6,1]
[7,4,8,1,3,5,6,2]=>[8,6,1,7,3,5,4,2]
[4,2,7,3,5,6,8,1]=>[8,4,7,2,3,5,6,1]
[7,8,1,3,4,5,6,2]=>[8,6,1,3,4,5,7,2]
[8,7,2,4,5,6,1,3]=>[6,7,1,2,4,5,8,3]
[1,8,2,6,7,3,4,5]=>[1,8,7,3,4,2,6,5]
[4,7,3,2,8,1,5,6]=>[8,3,7,4,1,5,2,6]
[5,1,4,6,2,3,8,7]=>[5,6,2,1,4,3,8,7]
[6,1,4,5,2,3,8,7]=>[6,5,2,1,4,3,8,7]
[7,1,2,5,6,8,3,4]=>[7,1,8,3,2,5,6,4]
[7,1,2,6,3,8,5,4]=>[7,1,6,5,8,2,3,4]
[7,8,4,1,2,6,3,5]=>[4,1,8,6,2,3,7,5]
[8,1,2,6,3,7,5,4]=>[8,1,6,5,7,2,3,4]
[8,1,2,7,6,3,5,4]=>[8,1,6,5,3,7,2,4]
[4,8,6,3,1,2,7,5]=>[3,1,6,4,8,7,5,2]
[4,8,7,3,1,6,2,5]=>[3,7,6,4,1,2,8,5]
[4,7,8,3,1,6,2,5]=>[3,8,6,4,1,2,7,5]
[7,4,3,1,6,2,8,5]=>[3,4,7,6,8,1,2,5]
[8,4,3,1,6,2,7,5]=>[3,4,8,6,7,1,2,5]
[7,4,3,1,8,6,2,5]=>[3,4,7,6,2,8,1,5]
[3,7,6,2,4,8,1,5]=>[8,6,3,2,1,7,4,5]
[8,3,5,7,4,2,1,6]=>[2,4,7,8,1,3,5,6]
[4,3,7,2,8,6,1,5]=>[6,8,4,3,2,7,1,5]
[7,1,2,8,6,3,5,4]=>[7,1,6,5,3,8,2,4]
[6,1,2,7,4,3,8,5]=>[6,1,4,7,8,2,3,5]
[5,1,2,6,3,8,7,4]=>[5,1,6,7,2,3,8,4]
[5,1,2,7,3,8,6,4]=>[5,1,7,6,2,8,3,4]
[6,1,2,7,3,5,8,4]=>[6,1,7,8,3,2,5,4]
[8,3,6,2,1,7,4,5]=>[2,6,8,7,4,3,1,5]
[7,3,6,2,1,8,4,5]=>[2,6,7,8,4,3,1,5]
[6,1,2,8,3,5,7,4]=>[6,1,8,7,3,2,5,4]
[7,5,3,2,1,8,6,4]=>[2,3,5,7,6,8,4,1]
[4,2,1,5,3,6,7,8]=>[2,4,5,1,3,6,7,8]
[6,2,5,4,1,8,7,3]=>[4,5,6,7,3,2,8,1]
[4,6,3,2,1,8,7,5]=>[2,3,6,4,7,1,8,5]
[6,5,3,2,1,8,7,4]=>[2,3,5,6,7,4,8,1]
[8,4,3,2,7,6,1,5]=>[6,3,4,7,2,8,1,5]
[1,5,8,4,7,6,3,2]=>[1,3,6,7,5,8,2,4]
[3,2,7,4,8,6,1,5]=>[6,3,2,8,4,7,1,5]
[7,4,3,2,8,6,1,5]=>[6,3,4,8,2,7,1,5]
[6,8,3,7,5,2,1,4]=>[2,5,7,3,8,6,1,4]
[5,7,8,4,3,2,1,6]=>[2,3,4,8,5,1,7,6]
[6,4,3,8,5,2,1,7]=>[2,5,4,8,6,1,3,7]
[8,2,5,4,7,6,1,3]=>[6,7,2,5,1,8,4,3]
[7,2,5,4,8,6,1,3]=>[6,8,2,5,1,7,4,3]
[4,5,3,2,8,6,1,7]=>[6,3,5,4,2,8,1,7]
[3,2,5,4,8,6,1,7]=>[6,3,2,5,4,8,1,7]
[3,2,8,6,5,4,1,7]=>[4,3,2,5,6,8,1,7]
[8,4,3,6,5,2,1,7]=>[2,5,4,6,8,1,3,7]
[8,4,3,7,5,2,1,6]=>[2,5,4,7,8,3,1,6]
[3,2,7,8,5,4,1,6]=>[4,3,2,5,8,1,7,6]
[6,8,7,4,3,2,1,5]=>[2,3,4,7,1,6,8,5]
[2,3,1,8,5,7,4,6]=>[3,2,1,7,8,4,5,6]
[3,6,1,4,8,7,2,5]=>[6,7,3,1,2,4,8,5]
[5,8,1,3,7,2,6,4]=>[8,7,1,6,5,2,3,4]
[4,7,5,1,8,2,6,3]=>[5,7,8,4,6,3,2,1]
[6,3,2,1,8,7,4,5]=>[2,3,6,7,4,1,8,5]
[6,2,3,1,8,7,4,5]=>[3,6,2,7,4,1,8,5]
[3,4,7,1,8,5,6,2]=>[7,6,3,4,8,5,1,2]
[3,4,8,1,7,5,6,2]=>[8,6,3,4,7,5,1,2]
[5,6,7,1,3,8,4,2]=>[7,4,1,8,5,6,3,2]
[7,2,5,1,8,3,6,4]=>[5,7,8,6,2,3,1,4]
[7,2,1,5,8,4,6,3]=>[2,7,6,8,1,4,5,3]
[6,1,4,5,8,2,7,3]=>[6,8,7,1,4,5,2,3]
[7,1,4,6,8,2,5,3]=>[7,8,5,1,2,4,6,3]
[8,2,5,1,7,3,6,4]=>[5,8,7,6,2,3,1,4]
[4,2,8,1,7,5,6,3]=>[8,4,6,2,7,5,1,3]
[8,4,6,1,2,7,5,3]=>[6,1,5,7,8,3,2,4]
[8,6,1,5,3,7,4,2]=>[6,4,8,5,3,7,2,1]
[8,3,6,4,1,7,5,2]=>[4,6,5,7,8,3,2,1]
[5,3,8,6,1,7,4,2]=>[6,4,8,5,2,7,3,1]
[7,3,1,5,2,8,6,4]=>[3,7,5,6,2,8,1,4]
[7,1,6,4,2,8,5,3]=>[7,4,6,5,8,1,3,2]
[3,7,4,1,5,8,6,2]=>[4,7,3,6,2,8,5,1]
[5,8,6,1,2,7,4,3]=>[6,1,4,8,5,7,3,2]
[6,8,1,4,3,7,5,2]=>[8,5,4,1,7,6,3,2]
[6,7,1,4,3,8,5,2]=>[7,5,4,1,8,6,3,2]
[4,7,1,5,3,8,6,2]=>[7,6,5,4,1,8,3,2]
[2,7,1,4,5,8,6,3]=>[7,2,6,1,4,8,5,3]
[6,8,1,2,4,7,5,3]=>[8,1,5,2,7,6,4,3]
[7,1,6,4,8,3,5,2]=>[7,5,8,6,3,1,4,2]
[7,1,6,3,4,8,5,2]=>[7,5,8,2,6,1,4,3]
[8,6,4,1,3,7,5,2]=>[4,6,1,5,8,7,3,2]
[8,6,3,4,1,7,5,2]=>[4,5,7,2,6,8,1,3]
[8,5,3,6,1,7,4,2]=>[6,4,7,5,8,2,1,3]
[8,6,2,1,4,7,5,3]=>[2,6,5,3,8,7,4,1]
[7,2,1,4,5,8,6,3]=>[2,7,6,1,4,8,5,3]
[7,1,5,3,6,8,4,2]=>[7,4,8,5,1,2,6,3]
[8,6,1,4,5,7,3,2]=>[6,3,8,2,4,7,5,1]
[8,5,6,1,2,7,4,3]=>[6,1,4,7,8,5,2,3]
[8,4,5,6,1,7,3,2]=>[6,3,7,8,4,5,1,2]
[8,6,2,5,4,7,3,1]=>[3,7,6,5,1,8,4,2]
[8,2,6,3,5,4,7,1]=>[7,8,6,5,3,2,4,1]
[8,7,2,3,4,6,5,1]=>[5,6,1,3,7,4,8,2]
[8,5,7,3,2,4,6,1]=>[6,3,7,2,8,4,5,1]
[3,6,1,4,5,8,7,2]=>[6,7,3,1,4,5,8,2]
[4,6,1,3,8,7,2,5]=>[6,7,1,4,2,3,8,5]
[5,6,8,2,1,7,4,3]=>[2,8,4,7,5,6,1,3]
[7,1,3,8,4,2,5,6]=>[7,4,1,8,2,5,3,6]
[8,5,2,1,4,3,6,7]=>[2,5,4,1,8,3,6,7]
[2,8,3,5,7,4,1,6]=>[4,2,7,8,1,3,5,6]
[2,8,4,1,3,6,7,5]=>[4,2,1,8,7,3,6,5]
[2,7,4,5,8,6,1,3]=>[6,2,1,8,3,7,5,4]
[1,4,7,2,8,6,5,3]=>[1,7,5,4,6,8,2,3]
[6,4,8,5,1,3,2,7]=>[5,3,1,8,6,2,4,7]
[1,6,7,8,5,2,4,3]=>[1,5,4,2,8,6,7,3]
[6,2,4,7,5,1,8,3]=>[5,7,6,3,8,4,2,1]
[8,1,2,5,4,7,6,3]=>[8,1,6,5,2,7,4,3]
[8,1,2,4,5,6,7,3]=>[8,1,7,2,4,5,6,3]
[8,2,7,3,5,6,1,4]=>[6,8,7,1,3,5,2,4]
[7,1,3,4,2,8,6,5]=>[7,4,1,3,6,8,2,5]
[6,1,4,3,2,7,8,5]=>[6,3,4,1,8,2,7,5]
[6,1,5,2,3,8,7,4]=>[6,5,2,7,1,3,8,4]
[8,7,5,3,1,6,2,4]=>[3,5,7,2,6,1,8,4]
[8,5,6,3,2,1,7,4]=>[2,3,6,7,8,5,1,4]
[1,8,3,6,7,2,4,5]=>[1,7,8,2,4,3,6,5]
[3,1,8,6,4,2,5,7]=>[3,4,1,6,2,8,5,7]
[1,2,8,3,7,4,6,5]=>[1,2,8,7,6,4,3,5]
[8,1,3,7,4,5,2,6]=>[8,5,1,7,4,2,3,6]
[8,2,1,3,7,5,4,6]=>[2,8,1,5,7,4,3,6]
[8,2,7,4,3,5,6,1]=>[6,8,4,7,3,5,2,1]
[8,2,6,5,4,3,1,7]=>[3,4,5,6,8,1,2,7]
[8,2,7,6,4,5,3,1]=>[3,5,8,6,4,7,1,2]
[8,6,3,5,4,2,1,7]=>[2,4,5,6,1,8,3,7]
[8,7,3,5,4,2,6,1]=>[6,4,5,7,2,3,8,1]
[4,6,7,2,1,8,3,5]=>[2,7,8,4,3,6,1,5]
[4,5,8,1,3,6,7,2]=>[8,7,1,4,5,3,6,2]
[3,7,1,8,2,5,4,6]=>[7,8,3,5,2,4,1,6]
[4,5,8,6,1,3,7,2]=>[6,8,2,4,5,7,3,1]
[4,5,8,6,2,7,3,1]=>[3,7,6,4,5,8,1,2]
[4,6,7,1,5,3,8,2]=>[7,8,5,4,1,6,3,2]
[4,6,7,2,1,8,5,3]=>[2,7,5,4,8,6,1,3]
[4,2,5,6,7,8,3,1]=>[3,8,4,1,5,6,7,2]
[4,1,3,5,6,7,8,2]=>[4,8,1,3,5,6,7,2]
[3,7,8,4,5,1,6,2]=>[5,6,3,8,4,1,7,2]
[4,6,8,3,2,7,1,5]=>[7,3,8,4,1,6,2,5]
[4,6,8,2,3,7,1,5]=>[7,8,2,4,1,6,3,5]
[3,8,1,7,4,5,2,6]=>[8,5,3,7,4,2,1,6]
[4,5,8,3,7,1,2,6]=>[7,1,8,4,5,2,3,6]
[4,6,7,1,5,8,2,3]=>[7,8,2,4,1,6,5,3]
[3,7,8,4,6,2,5,1]=>[5,6,3,8,2,4,7,1]
[3,6,1,5,7,8,2,4]=>[6,8,3,2,1,5,7,4]
[3,8,2,5,4,7,1,6]=>[7,8,3,5,2,1,4,6]
[3,8,6,2,5,1,7,4]=>[5,6,3,8,4,7,1,2]
[4,5,8,6,2,1,7,3]=>[2,6,8,4,5,7,3,1]
[4,5,8,6,1,2,7,3]=>[6,1,8,4,5,7,3,2]
[4,6,8,5,2,7,1,3]=>[7,5,1,4,8,6,2,3]
[3,7,8,5,2,6,1,4]=>[6,5,3,1,8,2,7,4]
[3,7,8,5,4,1,6,2]=>[4,5,3,8,6,1,7,2]
[4,6,8,5,3,1,7,2]=>[3,5,8,4,7,6,1,2]
[7,8,2,3,5,4,1,6]=>[4,5,1,8,3,2,7,6]
[6,3,2,4,7,8,1,5]=>[8,3,6,2,1,4,7,5]
[2,8,1,5,7,4,6,3]=>[8,2,6,7,1,4,5,3]
[5,1,3,2,6,7,4,8]=>[5,3,1,7,2,6,4,8]
[6,7,2,4,8,3,1,5]=>[3,8,7,1,2,6,4,5]
[6,3,4,5,2,8,1,7]=>[8,5,6,3,4,2,1,7]
[4,5,6,8,3,7,1,2]=>[7,1,8,4,5,6,3,2]
[4,1,3,5,2,6,7,8]=>[4,5,1,3,2,6,7,8]
[1,5,7,4,6,3,8,2]=>[1,8,6,7,5,4,3,2]
[4,3,8,5,7,1,2,6]=>[7,1,4,3,8,2,5,6]
[1,6,5,3,7,2,8,4]=>[1,7,5,6,8,4,2,3]
[2,5,3,7,8,4,1,6]=>[4,2,8,5,1,3,7,6]
[5,1,3,7,6,4,8,2]=>[5,8,1,6,3,7,4,2]
[4,6,5,2,7,8,1,3]=>[8,5,1,4,6,2,7,3]
[4,6,5,1,7,3,2,8]=>[5,3,6,4,7,2,1,8]
[1,6,5,2,3,4,8,7]=>[1,5,2,3,6,4,8,7]
[1,6,5,3,4,2,8,7]=>[1,4,5,3,6,2,8,7]
[4,6,5,1,7,3,8,2]=>[5,6,8,4,7,2,1,3]
[5,7,3,1,2,4,8,6]=>[3,1,7,2,5,8,4,6]
[6,3,2,5,1,7,4,8]=>[5,3,6,7,2,1,4,8]
[6,1,2,4,8,5,3,7]=>[6,1,5,2,8,4,3,7]
[6,7,1,4,8,5,2,3]=>[7,5,2,1,8,6,4,3]
[5,8,3,2,1,4,6,7]=>[2,3,8,1,5,4,6,7]
[5,1,3,7,4,8,6,2]=>[5,6,1,8,3,7,2,4]
[6,3,1,7,2,5,8,4]=>[3,6,7,8,1,2,5,4]
[4,2,3,7,1,5,6,8]=>[7,4,2,3,1,5,6,8]
[3,4,8,5,1,2,7,6]=>[5,1,3,4,8,7,2,6]
[3,8,1,6,7,2,5,4]=>[8,7,3,5,2,1,6,4]
[4,5,7,6,3,8,1,2]=>[8,1,6,4,5,7,3,2]
[3,7,2,8,5,1,4,6]=>[5,8,3,2,7,4,1,6]
[1,6,5,3,7,8,2,4]=>[1,8,5,2,6,3,7,4]
[3,6,5,2,4,7,1,8]=>[7,5,3,2,6,4,1,8]
[2,6,5,1,4,3,7,8]=>[5,2,4,1,6,3,7,8]
[3,6,5,8,1,7,2,4]=>[8,7,3,2,6,5,1,4]
[1,6,5,3,7,8,4,2]=>[1,4,8,5,6,2,7,3]
[2,6,5,8,4,1,7,3]=>[4,2,8,7,6,5,3,1]
[2,3,5,1,8,6,4,7]=>[5,2,3,6,1,8,4,7]
[2,5,3,8,4,6,1,7]=>[6,2,5,8,3,4,1,7]
[5,2,7,3,4,6,1,8]=>[6,5,7,3,2,4,1,8]
[1,4,5,2,8,6,3,7]=>[1,5,6,4,2,8,3,7]
[1,3,5,8,6,4,7,2]=>[1,7,3,6,5,8,4,2]
[1,3,5,8,6,7,2,4]=>[1,7,3,2,5,8,6,4]
[6,1,7,4,8,5,3,2]=>[6,3,5,8,7,1,2,4]
[5,7,4,1,3,6,8,2]=>[4,7,2,8,5,3,6,1]
[8,4,5,1,3,7,2,6]=>[5,7,1,8,4,2,3,6]
[7,4,3,1,6,5,8,2]=>[3,4,7,8,6,1,5,2]
[8,6,1,7,5,3,2,4]=>[6,3,5,1,8,7,2,4]
[7,8,1,4,6,5,3,2]=>[8,3,5,1,6,4,7,2]
[7,8,6,1,4,5,3,2]=>[6,3,5,1,4,8,7,2]
[7,8,6,4,1,3,5,2]=>[4,6,2,5,3,8,7,1]
[5,1,7,6,3,4,2,8]=>[5,4,6,3,1,7,2,8]
[6,2,7,3,8,5,4,1]=>[4,5,8,6,7,1,2,3]
[6,7,3,4,8,1,5,2]=>[8,5,7,3,1,6,4,2]
[1,2,7,5,3,4,8,6]=>[1,2,5,3,7,8,4,6]
[7,2,8,3,6,4,5,1]=>[5,7,8,6,4,3,2,1]
[6,2,7,8,3,1,4,5]=>[3,8,6,2,4,1,7,5]
[2,7,3,5,1,8,4,6]=>[5,2,7,8,3,4,1,6]
[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]
[3,7,8,1,2,5,6,4]=>[8,1,3,6,2,5,7,4]
[1,2,8,7,3,4,6,5]=>[1,2,7,3,6,4,8,5]
[8,7,6,2,4,3,5,1]=>[5,6,4,2,3,7,8,1]
[8,2,7,4,5,1,6,3]=>[5,8,6,7,4,1,2,3]
[8,1,2,7,4,3,5,6]=>[8,1,4,7,3,5,2,6]
[3,8,1,5,7,2,6,4]=>[8,7,3,6,1,2,5,4]
[8,5,2,6,1,7,4,3]=>[6,5,4,8,7,3,1,2]
[7,5,4,8,6,1,2,3]=>[6,1,2,5,8,7,3,4]
[7,1,8,6,4,5,2,3]=>[7,5,2,6,4,8,1,3]
[8,7,5,1,4,3,6,2]=>[5,7,4,2,6,3,8,1]
[1,5,7,8,3,4,2,6]=>[1,4,8,3,5,2,7,6]
[6,8,4,3,1,7,2,5]=>[3,4,8,7,2,6,1,5]
[8,4,1,3,7,5,6,2]=>[4,8,2,6,7,5,3,1]
[4,8,1,3,7,5,6,2]=>[8,6,1,4,7,5,3,2]
[5,1,3,4,7,8,6,2]=>[5,6,1,3,4,8,7,2]
[7,5,4,3,1,2,8,6]=>[3,1,4,5,7,8,2,6]
[6,2,5,4,8,1,7,3]=>[8,6,7,5,2,4,1,3]
[1,8,5,7,4,2,3,6]=>[1,4,2,7,8,3,5,6]
[2,1,6,8,5,3,4,7]=>[2,1,5,3,8,6,4,7]
[5,4,1,3,8,6,7,2]=>[4,5,2,7,3,8,6,1]
[4,5,1,3,8,6,7,2]=>[5,7,1,4,3,8,6,2]
[1,2,6,8,5,3,4,7]=>[1,2,5,3,8,6,4,7]
[5,6,8,7,3,1,2,4]=>[3,1,7,2,5,6,8,4]
[6,7,5,3,8,1,2,4]=>[8,1,5,2,7,6,3,4]
[6,2,3,4,7,1,8,5]=>[7,6,2,3,8,4,1,5]
[8,5,7,6,3,1,2,4]=>[3,1,6,2,7,8,4,5]
[6,8,5,7,3,1,2,4]=>[3,1,7,2,8,6,5,4]
[5,7,8,6,3,1,2,4]=>[3,1,6,2,5,8,7,4]
[5,1,4,2,6,8,7,3]=>[5,4,7,1,2,6,8,3]
[6,3,2,4,7,1,8,5]=>[7,3,6,2,8,4,1,5]
[1,5,6,8,4,2,3,7]=>[1,4,2,8,5,6,3,7]
[5,7,8,3,6,1,2,4]=>[6,1,8,2,5,3,7,4]
[8,4,1,2,5,7,6,3]=>[4,1,8,6,3,7,5,2]
[4,8,1,2,5,7,6,3]=>[8,1,6,4,2,7,5,3]
[1,5,8,6,2,4,3,7]=>[1,6,4,2,5,8,3,7]
[1,5,3,7,2,6,8,4]=>[1,7,5,8,3,2,6,4]
[5,1,8,6,2,4,3,7]=>[5,6,4,2,1,8,3,7]
[8,5,6,3,7,1,2,4]=>[7,1,6,2,8,5,3,4]
[5,8,6,3,7,1,2,4]=>[7,1,6,2,5,8,3,4]
[1,5,2,4,8,6,7,3]=>[1,5,7,2,4,8,6,3]
[1,5,4,2,6,8,7,3]=>[1,4,5,7,3,6,8,2]
[5,7,6,3,8,1,2,4]=>[8,1,6,2,5,7,3,4]
[5,7,6,8,3,1,2,4]=>[3,1,8,2,5,7,6,4]
[6,8,7,5,3,1,2,4]=>[3,1,5,2,7,6,8,4]
[6,5,7,3,8,1,2,4]=>[8,1,7,2,6,5,3,4]
[2,5,6,3,7,1,8,4]=>[7,2,6,8,5,3,1,4]
[1,2,5,3,6,8,7,4]=>[1,2,5,7,3,6,8,4]
[7,1,4,6,2,8,3,5]=>[7,6,8,1,3,4,2,5]
[6,8,7,2,1,5,3,4]=>[2,7,5,3,1,6,8,4]
[7,3,6,1,4,8,2,5]=>[6,8,7,1,2,3,4,5]
[7,8,1,6,5,3,4,2]=>[8,4,5,3,6,1,7,2]
[8,7,3,2,1,4,6,5]=>[2,3,7,1,6,4,8,5]
[8,3,5,1,7,4,2,6]=>[5,4,7,8,2,3,1,6]
[6,7,5,1,8,4,2,3]=>[5,4,1,7,8,6,2,3]
[8,2,6,1,7,5,3,4]=>[6,8,5,3,7,2,1,4]
[3,8,4,2,6,1,7,5]=>[6,4,3,8,7,2,1,5]
[3,5,6,8,4,2,7,1]=>[7,4,3,8,5,6,2,1]
[2,5,4,1,6,8,7,3]=>[4,2,5,7,3,6,8,1]
[5,8,2,6,4,3,7,1]=>[7,8,4,6,5,2,3,1]
[2,8,6,3,4,1,7,5]=>[4,2,6,3,8,7,5,1]
[4,3,6,2,8,5,7,1]=>[7,6,4,3,8,2,5,1]
[4,6,8,2,1,3,7,5]=>[2,8,1,4,7,6,3,5]
[6,8,1,5,3,2,7,4]=>[8,3,5,7,1,6,2,4]
[1,7,2,3,5,8,6,4]=>[1,7,2,6,3,8,5,4]
[4,6,2,3,5,1,7,8]=>[5,6,2,4,3,1,7,8]
[4,2,8,7,5,3,6,1]=>[6,4,5,2,7,3,8,1]
[2,8,3,7,5,1,6,4]=>[5,2,7,8,6,3,4,1]
[4,1,8,6,5,2,7,3]=>[4,5,6,1,8,7,2,3]
[6,4,8,7,2,1,5,3]=>[2,7,5,6,1,4,8,3]
[2,8,5,4,1,6,7,3]=>[4,2,5,8,7,1,6,3]
[4,5,7,3,2,1,6,8]=>[2,3,7,4,5,1,6,8]
[3,2,8,1,6,7,5,4]=>[8,3,2,5,7,1,6,4]
[1,8,2,3,7,5,6,4]=>[1,8,2,6,7,5,3,4]
[7,2,4,6,3,8,1,5]=>[8,7,6,2,1,4,3,5]
[2,8,3,1,4,7,6,5]=>[3,2,8,1,6,7,4,5]
[2,8,4,3,6,7,1,5]=>[7,2,4,8,1,3,6,5]
[6,4,7,2,8,3,5,1]=>[5,7,8,6,3,4,2,1]
[3,8,1,6,4,7,2,5]=>[8,7,3,6,2,1,4,5]
[7,3,2,5,6,1,8,4]=>[6,3,7,8,2,5,1,4]
[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]
[4,1,2,8,5,3,7,6]=>[4,1,5,2,8,7,3,6]
[3,8,4,2,5,1,7,6]=>[5,4,3,8,2,7,1,6]
[3,8,4,2,7,5,6,1]=>[6,4,3,8,7,5,2,1]
[1,5,6,3,7,4,8,2]=>[1,8,6,7,5,3,4,2]
[2,6,3,1,4,5,7,8]=>[3,2,6,1,4,5,7,8]
[1,8,5,6,4,3,2,7]=>[1,3,4,6,8,5,2,7]
[2,8,3,5,6,4,1,7]=>[4,2,6,8,1,5,3,7]
[4,1,5,7,6,8,2,3]=>[4,8,2,1,5,7,6,3]
[7,6,8,3,2,5,1,4]=>[5,3,8,1,2,7,6,4]
[4,6,1,7,5,2,3,8]=>[6,5,2,4,7,1,3,8]
[3,1,7,2,6,5,4,8]=>[3,7,1,5,6,2,4,8]
[5,6,4,7,2,1,8,3]=>[2,7,8,6,5,4,1,3]
[2,8,7,1,3,6,5,4]=>[7,2,1,5,6,3,8,4]
[5,7,2,8,3,1,6,4]=>[3,8,7,6,5,2,1,4]
[2,7,8,1,6,4,5,3]=>[8,2,5,6,4,1,7,3]
[7,8,1,3,4,6,5,2]=>[8,5,1,3,6,4,7,2]
[2,7,1,4,5,3,8,6]=>[7,2,5,1,4,8,3,6]
[1,5,2,7,4,3,6,8]=>[1,5,4,7,2,3,6,8]
[5,1,3,8,4,6,2,7]=>[5,6,1,8,3,4,2,7]
[6,5,8,7,1,3,2,4]=>[7,3,1,2,6,5,8,4]
[2,7,3,5,1,6,8,4]=>[5,2,7,8,3,1,6,4]
[5,7,6,8,2,1,4,3]=>[2,8,4,1,5,7,6,3]
[1,3,6,5,2,7,4,8]=>[1,5,3,6,7,4,2,8]
[1,2,6,5,3,4,7,8]=>[1,2,5,3,6,4,7,8]
[1,7,2,5,6,8,3,4]=>[1,7,8,3,2,5,6,4]
[1,7,2,4,8,3,5,6]=>[1,7,8,2,3,5,4,6]
[1,6,2,4,5,3,7,8]=>[1,6,5,2,4,3,7,8]
[1,4,8,2,3,7,5,6]=>[1,8,2,4,7,5,3,6]
[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]
[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]
[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]
[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]
[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]
[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]
[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]
[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]
[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]
[7,1,5,6,2,3,8,4]=>[7,6,2,8,1,5,3,4]
[8,2,1,4,6,7,3,5]=>[2,8,7,1,3,4,6,5]
[7,2,6,1,3,4,8,5]=>[6,7,1,3,8,2,4,5]
[4,1,3,7,2,5,8,6]=>[4,7,1,3,2,8,5,6]
[6,2,7,5,1,3,8,4]=>[5,7,2,6,8,4,3,1]
[1,7,5,6,2,3,8,4]=>[1,6,2,8,7,5,3,4]
[3,7,6,1,2,4,8,5]=>[6,1,3,2,7,8,5,4]
[8,6,1,3,5,7,2,4]=>[6,8,2,1,3,7,5,4]
[1,7,4,3,8,2,5,6]=>[1,8,4,7,2,5,3,6]
[6,1,5,3,4,8,2,7]=>[6,8,5,3,1,4,2,7]
[3,6,7,5,2,8,1,4]=>[8,5,3,1,7,6,2,4]
[7,8,4,1,5,6,2,3]=>[4,8,1,6,2,5,7,3]
[5,8,1,3,6,7,2,4]=>[8,7,1,2,5,3,6,4]
[2,8,4,3,7,1,5,6]=>[7,2,4,8,1,5,3,6]
[3,8,4,6,7,1,2,5]=>[7,1,3,8,2,4,6,5]
[6,3,8,4,7,1,2,5]=>[7,1,6,8,2,3,4,5]
[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]
[7,1,3,8,2,4,5,6]=>[7,8,1,2,4,5,3,6]
[8,1,3,7,2,4,5,6]=>[8,7,1,2,4,5,3,6]
[3,5,4,7,8,1,2,6]=>[8,1,3,5,4,2,7,6]
[8,3,1,4,7,2,5,6]=>[3,8,7,2,1,5,4,6]
[1,6,4,7,8,2,3,5]=>[1,8,2,6,3,4,7,5]
[5,2,3,6,7,8,1,4]=>[8,5,2,1,3,6,7,4]
[6,2,7,3,8,5,1,4]=>[5,8,6,2,7,3,1,4]
[1,3,7,8,5,6,2,4]=>[1,6,3,2,8,5,7,4]
[8,2,6,7,5,1,3,4]=>[5,7,2,3,8,1,6,4]
[8,1,7,4,6,2,3,5]=>[8,6,2,7,3,4,1,5]
[2,5,8,4,7,1,3,6]=>[7,2,1,8,5,3,4,6]
[4,5,8,7,1,2,3,6]=>[7,1,2,4,5,3,8,6]
[4,1,8,5,7,2,3,6]=>[4,7,2,1,8,3,5,6]
[1,8,7,4,6,2,3,5]=>[1,6,2,7,3,4,8,5]
[2,6,5,4,1,8,3,7]=>[4,2,5,6,8,1,3,7]
[6,2,5,1,4,8,3,7]=>[5,6,8,1,2,4,3,7]
[6,5,4,1,3,8,2,7]=>[4,5,1,6,8,3,2,7]
[6,3,5,4,2,8,1,7]=>[8,4,5,6,2,3,1,7]
[1,3,8,7,4,2,6,5]=>[1,4,3,7,6,2,8,5]
[8,7,4,3,1,5,2,6]=>[3,4,7,5,1,2,8,6]
[8,2,5,1,4,6,7,3]=>[5,8,7,1,2,4,6,3]
[3,8,4,5,1,6,7,2]=>[5,7,3,8,4,1,6,2]
[8,5,4,1,3,6,7,2]=>[4,5,1,8,7,3,6,2]
[8,3,1,7,5,6,4,2]=>[3,8,4,6,7,5,2,1]
[8,4,7,6,5,3,1,2]=>[3,1,5,6,7,8,4,2]
[8,1,4,5,7,6,3,2]=>[8,3,6,1,4,7,5,2]
[2,4,1,8,5,7,6,3]=>[4,2,6,1,7,8,3,5]
[8,2,1,4,7,6,3,5]=>[2,8,6,1,3,7,4,5]
[8,3,1,7,4,2,6,5]=>[3,8,4,7,6,1,2,5]
[8,2,7,3,1,6,5,4]=>[3,7,8,5,6,2,1,4]
[1,8,4,2,3,7,6,5]=>[1,4,2,8,6,7,3,5]
[3,1,2,8,7,4,6,5]=>[3,1,2,7,6,4,8,5]
[8,5,1,2,4,3,7,6]=>[5,1,4,2,8,7,3,6]
[2,8,3,7,4,1,6,5]=>[4,2,7,8,6,3,1,5]
[8,4,5,7,6,2,3,1]=>[3,6,2,7,1,8,5,4]
[2,3,1,8,7,6,4,5]=>[3,2,1,6,4,7,8,5]
[4,2,8,7,3,1,5,6]=>[3,7,4,1,2,5,8,6]
[1,3,4,8,7,2,5,6]=>[1,7,3,4,2,5,8,6]
[8,1,3,4,6,7,2,5]=>[8,7,1,3,2,4,6,5]
[3,4,8,2,6,7,1,5]=>[7,8,3,4,1,2,6,5]
[3,6,8,2,5,1,7,4]=>[5,8,3,7,2,6,1,4]
[3,8,2,5,7,4,6,1]=>[6,8,3,7,2,4,5,1]
[8,4,2,1,7,5,6,3]=>[2,4,8,6,7,5,3,1]
[8,2,7,5,6,4,1,3]=>[4,6,2,8,7,5,1,3]
[6,2,8,5,4,1,7,3]=>[4,5,8,6,7,1,3,2]
[6,8,5,4,1,7,2,3]=>[4,5,2,8,7,6,1,3]
[2,8,1,5,7,6,3,4]=>[8,2,6,3,1,7,5,4]
[3,1,8,2,7,5,6,4]=>[3,8,1,6,7,5,2,4]
[8,5,7,1,6,4,2,3]=>[7,4,2,6,8,1,5,3]
[2,8,4,7,3,6,5,1]=>[5,2,6,7,8,4,1,3]
[8,4,7,2,1,6,5,3]=>[2,7,5,6,8,1,3,4]
[1,8,4,7,6,5,2,3]=>[1,5,2,6,7,8,4,3]
[3,5,8,1,7,4,6,2]=>[8,6,3,7,5,4,1,2]
[8,4,7,1,3,6,5,2]=>[7,5,1,6,8,3,2,4]
[2,3,4,7,6,8,1,5]=>[8,2,3,4,1,7,6,5]
[3,7,1,2,8,6,4,5]=>[7,1,3,6,4,8,2,5]
[3,8,1,2,5,6,4,7]=>[8,1,3,6,2,5,4,7]
[3,7,1,2,5,6,4,8]=>[7,1,3,6,2,5,4,8]
[8,5,2,1,4,6,7,3]=>[2,5,8,3,7,4,6,1]
[4,8,1,6,5,2,7,3]=>[8,5,6,4,7,1,3,2]
[2,6,3,1,8,5,7,4]=>[3,2,6,7,8,1,5,4]
[4,2,6,3,8,5,7,1]=>[7,4,6,2,8,3,5,1]
[2,7,3,1,6,5,8,4]=>[3,2,7,8,6,1,5,4]
[7,1,2,4,6,5,8,3]=>[7,1,8,2,6,4,5,3]
[4,5,2,6,7,1,8,3]=>[7,5,8,4,2,6,1,3]
[5,7,1,2,6,8,4,3]=>[7,1,4,8,5,2,6,3]
[5,8,2,6,4,1,7,3]=>[4,6,8,7,5,3,2,1]
[4,2,8,3,5,6,7,1]=>[7,4,8,2,3,5,6,1]
[8,7,3,4,1,6,2,5]=>[4,6,7,3,2,1,8,5]
[2,7,4,3,8,6,1,5]=>[6,2,4,8,3,7,1,5]
[2,7,6,3,1,5,4,8]=>[3,2,6,5,1,7,4,8]
[2,7,4,1,6,3,5,8]=>[4,2,7,6,1,3,5,8]
[3,7,4,2,8,1,6,5]=>[8,4,3,7,6,1,2,5]
[8,5,3,4,2,1,7,6]=>[2,4,5,3,8,7,1,6]
[7,4,3,5,2,1,8,6]=>[2,5,4,7,3,8,1,6]
[8,3,5,4,2,7,1,6]=>[7,4,5,8,2,1,3,6]
[2,8,6,4,7,3,1,5]=>[3,2,7,6,1,8,4,5]
[5,2,7,8,6,1,4,3]=>[6,5,4,1,2,8,7,3]
[5,2,4,6,8,1,7,3]=>[8,5,7,2,4,6,1,3]
[2,3,8,4,6,1,7,5]=>[6,2,3,8,7,4,1,5]
[3,1,8,6,5,2,7,4]=>[3,5,1,6,8,7,2,4]
[8,3,1,5,2,6,7,4]=>[3,8,5,7,2,1,6,4]
[3,8,2,4,1,5,7,6]=>[4,8,3,2,1,7,5,6]
[5,8,3,2,4,1,7,6]=>[4,3,8,2,5,7,1,6]
[6,2,8,3,4,5,7,1]=>[7,6,8,3,4,2,5,1]
[7,2,6,8,4,3,5,1]=>[5,7,4,8,3,2,6,1]
[5,6,3,8,4,2,1,7]=>[2,4,8,6,5,1,3,7]
[6,5,3,2,4,8,1,7]=>[8,3,5,2,6,4,1,7]
[7,2,5,3,4,8,6,1]=>[6,8,5,3,1,7,4,2]
[3,6,2,1,4,5,7,8]=>[2,6,3,1,4,5,7,8]
[5,2,4,6,1,3,8,7]=>[6,5,1,2,4,3,8,7]
[7,2,3,4,6,8,1,5]=>[8,7,2,3,1,4,6,5]
[8,3,4,6,7,5,1,2]=>[5,1,7,2,8,4,6,3]
[6,8,3,4,7,5,2,1]=>[2,5,7,1,8,6,4,3]
[5,8,6,1,3,4,7,2]=>[6,8,2,3,5,7,4,1]
[4,8,1,5,7,6,3,2]=>[8,3,6,4,1,7,5,2]
[3,7,4,6,8,2,5,1]=>[5,8,3,7,2,4,6,1]
[4,7,1,6,8,3,2,5]=>[7,3,8,4,2,1,6,5]
[4,5,2,8,1,7,3,6]=>[8,5,7,4,2,3,1,6]
[3,7,5,2,8,6,1,4]=>[6,5,3,2,8,7,1,4]
[4,8,5,2,6,7,1,3]=>[7,5,1,4,8,2,6,3]
[5,4,8,6,1,2,7,3]=>[6,1,8,5,4,7,3,2]
[8,4,6,5,2,7,3,1]=>[3,7,5,6,8,1,4,2]
[8,1,6,4,7,5,2,3]=>[8,5,2,7,6,1,3,4]
[5,2,7,6,4,8,1,3]=>[8,5,1,6,2,7,4,3]
[8,6,2,3,5,1,7,4]=>[5,6,2,8,4,7,1,3]
[8,2,5,7,4,1,3,6]=>[4,7,2,8,1,3,5,6]
[7,2,4,5,6,8,1,3]=>[8,7,1,2,4,5,6,3]
[7,1,3,5,6,2,8,4]=>[7,6,1,8,3,5,2,4]
[7,1,5,8,4,6,3,2]=>[7,3,6,8,1,4,5,2]
[6,3,8,4,7,1,5,2]=>[7,5,6,8,1,3,4,2]
[7,1,4,3,2,8,5,6]=>[7,3,4,1,8,5,2,6]
[5,3,6,1,4,2,8,7]=>[6,4,5,1,3,2,8,7]
[5,7,2,1,4,3,8,6]=>[2,7,4,1,5,8,3,6]
[7,1,8,3,5,2,4,6]=>[7,5,8,2,3,4,1,6]
[7,2,4,8,1,5,6,3]=>[8,7,6,2,1,5,4,3]
[7,1,8,4,2,5,6,3]=>[7,4,8,6,3,5,1,2]
[6,4,2,5,8,1,7,3]=>[8,4,6,7,3,5,1,2]
[2,1,7,5,8,3,6,4]=>[2,1,8,6,7,3,5,4]
[7,3,8,5,6,2,1,4]=>[2,6,7,1,8,5,3,4]
[2,7,4,8,1,5,6,3]=>[8,2,6,7,1,5,4,3]
[7,4,8,3,1,5,6,2]=>[3,8,6,7,2,5,4,1]
[6,1,5,8,3,7,4,2]=>[6,4,7,8,1,5,2,3]
[2,6,3,5,8,7,4,1]=>[4,2,7,6,1,5,8,3]
[8,6,5,3,7,2,1,4]=>[2,7,5,1,6,8,3,4]
[4,8,5,3,7,2,1,6]=>[2,7,5,4,8,1,3,6]
[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]
[7,4,8,5,6,3,1,2]=>[3,1,6,7,8,5,4,2]
[7,8,4,1,3,5,6,2]=>[4,8,2,6,3,5,7,1]
[7,8,3,4,1,5,6,2]=>[4,6,8,3,1,5,7,2]
[7,3,1,8,2,5,6,4]=>[3,7,8,6,1,5,2,4]
[7,2,3,8,1,5,6,4]=>[8,7,2,6,1,5,3,4]
[6,4,8,7,3,2,1,5]=>[2,3,7,6,1,4,8,5]
[2,7,4,8,6,3,1,5]=>[3,2,6,8,4,7,1,5]
[6,4,8,2,3,1,7,5]=>[3,8,2,6,7,4,1,5]
[7,2,1,8,3,5,6,4]=>[2,7,8,6,3,5,1,4]
[5,1,6,2,3,8,7,4]=>[5,6,2,7,1,3,8,4]
[5,1,6,3,8,2,4,7]=>[5,8,6,2,1,3,4,7]
[3,6,5,1,4,8,7,2]=>[5,6,3,2,7,4,8,1]
[7,6,1,3,8,4,5,2]=>[6,5,1,7,3,8,4,2]
[6,7,1,5,8,3,4,2]=>[7,4,8,3,1,6,5,2]
[6,7,4,1,8,3,5,2]=>[4,7,5,8,1,6,2,3]
[7,3,6,2,8,1,4,5]=>[8,6,7,1,4,3,2,5]
[1,6,7,3,8,4,5,2]=>[1,5,7,8,4,6,3,2]
[7,3,6,2,8,4,1,5]=>[4,8,6,7,2,1,3,5]
[7,5,1,8,6,4,2,3]=>[5,4,1,7,6,8,2,3]
[6,5,1,8,4,7,2,3]=>[5,6,1,7,8,2,3,4]
[6,5,1,8,4,2,7,3]=>[5,4,6,8,7,3,2,1]
[3,4,8,6,1,7,5,2]=>[6,5,3,4,8,7,2,1]
[3,4,8,5,7,1,6,2]=>[7,6,3,4,8,1,5,2]
[7,5,4,8,1,6,2,3]=>[8,6,2,5,7,1,4,3]
[4,3,5,8,7,1,2,6]=>[7,1,4,3,5,2,8,6]
[7,5,4,8,1,2,6,3]=>[8,1,6,5,7,2,4,3]
[3,4,8,6,7,5,1,2]=>[5,1,3,4,7,8,6,2]
[3,5,6,8,1,4,2,7]=>[8,4,3,1,5,6,2,7]
[6,1,5,8,7,2,3,4]=>[6,7,2,3,1,5,8,4]
[5,1,6,2,8,4,3,7]=>[5,6,4,8,1,2,3,7]
[7,3,6,1,8,4,2,5]=>[6,4,8,7,3,2,1,5]
[1,4,5,8,6,3,7,2]=>[1,7,6,4,5,8,3,2]
[3,5,4,8,6,2,1,7]=>[2,6,3,5,4,8,1,7]
[3,4,8,1,7,6,5,2]=>[8,5,3,4,6,7,1,2]
[3,4,8,1,6,7,5,2]=>[8,5,3,4,7,1,6,2]
[3,4,8,5,1,7,6,2]=>[5,8,3,4,6,7,2,1]
[3,5,4,8,2,7,1,6]=>[7,8,3,5,4,1,2,6]
[4,3,5,8,2,1,6,7]=>[2,8,4,3,5,1,6,7]
[4,3,5,8,2,6,1,7]=>[6,8,4,3,5,2,1,7]
[3,4,8,1,6,5,7,2]=>[8,7,3,4,6,1,5,2]
[6,4,7,2,3,1,5,8]=>[3,7,2,6,1,4,5,8]
[6,2,7,1,5,3,4,8]=>[7,6,5,3,1,2,4,8]
[6,8,1,5,4,2,7,3]=>[8,4,5,7,1,6,3,2]
[7,8,6,3,1,4,2,5]=>[3,6,4,2,1,8,7,5]
[7,8,6,3,5,1,2,4]=>[5,1,6,2,3,8,7,4]
[6,2,7,5,4,1,3,8]=>[4,5,1,7,6,2,3,8]
[7,2,8,5,4,6,3,1]=>[3,6,7,5,8,4,1,2]
[6,1,8,4,7,2,3,5]=>[6,7,2,8,3,1,4,5]
[6,1,7,5,4,3,8,2]=>[6,8,4,5,7,1,3,2]
[5,6,4,3,7,1,8,2]=>[7,8,4,6,5,3,1,2]
[6,5,3,7,2,4,8,1]=>[8,7,5,2,6,3,4,1]
[6,5,3,8,1,7,4,2]=>[8,4,7,5,6,2,1,3]
[5,4,2,3,8,6,7,1]=>[7,4,2,5,3,8,6,1]
[5,6,4,3,8,1,7,2]=>[8,7,4,6,5,3,1,2]
[5,7,6,8,4,3,1,2]=>[3,1,4,8,5,7,6,2]
[6,2,8,7,5,3,4,1]=>[4,6,5,3,7,2,8,1]
[6,3,2,8,5,4,7,1]=>[7,3,6,5,8,2,4,1]
[5,6,2,8,7,3,1,4]=>[3,7,6,2,5,1,8,4]
[5,6,2,8,4,3,7,1]=>[7,6,4,8,5,2,3,1]
[6,1,8,3,2,5,7,4]=>[6,3,8,7,2,1,5,4]
[6,1,7,8,3,2,4,5]=>[6,3,8,2,4,1,7,5]
[4,1,2,6,8,3,7,5]=>[4,1,8,2,7,6,3,5]
[5,1,3,6,2,7,4,8]=>[5,6,1,7,3,2,4,8]
[5,1,3,6,2,8,7,4]=>[5,6,1,7,3,2,8,4]
[7,1,6,2,5,8,3,4]=>[7,6,8,3,2,1,5,4]
[6,1,7,4,8,2,5,3]=>[6,8,5,7,2,1,4,3]
[4,3,2,7,8,5,1,6]=>[5,3,4,2,8,1,7,6]
[7,1,3,6,5,8,4,2]=>[7,4,1,8,6,3,5,2]
[5,1,7,4,6,8,2,3]=>[5,8,2,7,1,4,6,3]
[5,7,4,3,6,8,2,1]=>[2,8,4,7,5,3,6,1]
[5,1,4,3,6,7,2,8]=>[5,7,4,1,3,6,2,8]
[5,4,2,3,6,8,7,1]=>[7,4,2,5,3,6,8,1]
[7,5,3,6,2,8,4,1]=>[4,8,6,5,7,1,3,2]
[4,6,2,7,8,3,5,1]=>[5,6,8,4,3,2,7,1]
[5,1,2,4,6,7,8,3]=>[5,1,8,2,4,6,7,3]
[4,6,3,5,2,8,7,1]=>[7,5,6,4,3,2,8,1]
[5,6,3,4,8,2,7,1]=>[7,8,6,3,5,4,2,1]
[5,3,6,4,1,7,8,2]=>[4,6,8,5,1,2,7,3]
[5,2,6,4,1,7,8,3]=>[4,6,5,8,3,2,7,1]
[5,4,1,7,6,3,8,2]=>[4,5,8,6,2,7,1,3]
[5,8,4,6,3,2,7,1]=>[7,3,6,8,5,4,2,1]
[5,4,3,8,6,2,7,1]=>[7,6,4,5,3,8,2,1]
[5,7,8,2,4,3,6,1]=>[6,8,4,2,5,3,7,1]
[5,6,2,4,8,3,7,1]=>[7,6,8,2,5,4,3,1]
[6,4,7,8,2,3,5,1]=>[5,8,2,6,3,4,7,1]
[3,7,5,2,4,8,1,6]=>[8,5,3,2,7,1,4,6]
[4,7,5,2,3,8,6,1]=>[6,5,1,4,8,7,3,2]
[6,4,7,3,2,5,8,1]=>[8,3,7,6,2,4,5,1]
[5,7,3,2,8,4,6,1]=>[6,3,7,8,5,4,2,1]
[5,3,7,2,8,4,6,1]=>[6,7,5,8,3,4,2,1]
[4,3,7,2,5,8,6,1]=>[6,8,4,3,1,7,5,2]
[4,7,3,2,5,8,6,1]=>[6,3,8,4,1,7,5,2]
[4,8,3,5,1,7,6,2]=>[5,6,7,4,2,8,1,3]
[4,7,3,2,6,8,5,1]=>[5,3,8,4,7,1,6,2]
[7,5,3,2,6,4,8,1]=>[8,3,5,7,6,4,2,1]
[8,5,2,6,7,3,4,1]=>[4,5,8,2,7,3,6,1]
[8,4,2,6,3,7,5,1]=>[5,4,7,8,6,2,1,3]
[7,4,6,2,3,8,5,1]=>[5,8,1,6,7,3,4,2]
[7,5,6,2,8,3,4,1]=>[4,6,8,3,7,5,2,1]
[5,7,6,2,8,3,4,1]=>[4,6,7,2,5,8,3,1]
[4,7,6,2,3,8,5,1]=>[5,8,1,4,6,7,3,2]
[7,6,3,2,5,8,1,4]=>[8,3,6,1,2,7,5,4]
[7,6,4,2,5,8,3,1]=>[3,8,4,6,1,7,5,2]
[6,3,8,5,4,7,2,1]=>[2,7,6,5,8,3,4,1]
[8,5,4,7,6,2,3,1]=>[3,6,2,5,7,8,1,4]
[7,8,2,5,1,3,6,4]=>[5,8,1,6,2,3,7,4]
[8,7,2,5,4,1,6,3]=>[4,5,7,6,3,2,8,1]
[2,4,6,3,8,7,5,1]=>[5,2,7,4,6,1,8,3]
[2,4,6,1,8,7,3,5]=>[6,2,7,4,3,1,8,5]
[2,4,3,6,8,7,1,5]=>[7,2,4,3,1,6,8,5]
[2,4,6,3,8,7,1,5]=>[7,2,6,4,1,3,8,5]
[2,4,6,5,8,7,1,3]=>[7,2,1,4,6,5,8,3]
[2,4,6,8,5,7,3,1]=>[3,2,7,4,8,6,5,1]
[2,4,6,8,5,7,1,3]=>[7,2,1,4,8,6,5,3]
[2,4,6,8,3,7,1,5]=>[7,2,8,4,1,6,3,5]
[2,4,6,8,1,7,3,5]=>[8,2,7,4,3,6,1,5]
[2,4,6,5,1,8,7,3]=>[5,2,6,4,7,3,8,1]
[2,4,6,5,8,3,7,1]=>[7,2,8,4,6,5,3,1]
[2,4,6,5,8,1,7,3]=>[8,2,7,4,6,5,1,3]
[2,4,6,8,5,1,7,3]=>[5,2,8,4,7,6,3,1]
[2,4,6,8,7,3,5,1]=>[5,2,7,4,3,6,8,1]
[2,4,6,8,7,1,5,3]=>[7,2,5,4,1,6,8,3]
[2,4,6,8,7,1,3,5]=>[7,2,1,4,3,6,8,5]
[2,4,6,8,5,1,3,7]=>[5,2,1,4,8,6,3,7]
[2,4,6,5,1,8,3,7]=>[5,2,6,4,8,3,1,7]
[2,4,6,5,1,3,8,7]=>[5,2,1,4,6,3,8,7]
[2,4,6,5,3,8,1,7]=>[8,2,5,4,6,3,1,7]
[2,4,6,5,8,3,1,7]=>[3,2,8,4,6,5,1,7]
[2,4,6,8,5,3,1,7]=>[3,2,5,4,8,6,1,7]
[2,4,6,8,7,3,1,5]=>[3,2,7,4,1,6,8,5]
[2,4,6,8,7,5,1,3]=>[5,2,1,4,7,6,8,3]
[4,8,7,5,2,1,3,6]=>[2,5,1,4,7,3,8,6]
[6,1,4,7,5,8,2,3]=>[6,8,2,1,7,4,5,3]
[1,8,6,5,3,2,7,4]=>[1,3,5,6,8,7,2,4]
[1,6,3,5,8,2,4,7]=>[1,8,6,2,3,5,4,7]
[4,6,1,7,8,5,3,2]=>[6,3,5,4,8,1,7,2]
[6,1,2,7,8,4,5,3]=>[6,1,5,8,4,2,7,3]
[6,1,3,2,7,8,5,4]=>[6,3,1,5,8,2,7,4]
[5,6,3,1,7,4,8,2]=>[3,6,8,7,5,2,4,1]
[4,8,3,7,1,6,5,2]=>[7,5,6,4,8,1,2,3]
[8,7,2,6,5,1,4,3]=>[5,6,4,2,7,1,8,3]
[5,8,3,2,1,7,6,4]=>[2,3,8,6,5,7,1,4]
[5,4,3,8,1,7,6,2]=>[8,6,4,5,3,7,1,2]
[6,5,3,8,7,1,4,2]=>[7,4,5,1,6,3,8,2]
[4,3,8,2,7,6,5,1]=>[5,6,4,3,7,8,2,1]
[4,8,2,7,6,5,3,1]=>[3,5,6,4,7,8,1,2]
[7,8,2,6,5,4,1,3]=>[4,5,1,6,8,2,7,3]
[3,8,7,6,2,5,1,4]=>[5,6,3,1,2,7,8,4]
[4,8,3,7,2,1,6,5]=>[2,7,8,4,6,1,3,5]
[8,6,3,1,7,5,4,2]=>[3,6,4,5,8,7,1,2]
[8,6,3,7,1,5,4,2]=>[7,4,5,6,1,8,2,3]
[4,8,3,7,6,2,5,1]=>[5,6,7,4,3,8,2,1]
[5,8,2,7,6,4,1,3]=>[4,6,1,7,5,8,2,3]
[8,4,2,1,7,6,5,3]=>[2,4,8,5,6,7,3,1]
[1,6,4,2,5,3,7,8]=>[1,4,6,5,3,2,7,8]
[1,8,6,2,7,3,4,5]=>[1,6,8,2,4,7,3,5]
[1,6,3,2,4,5,7,8]=>[1,3,6,2,4,5,7,8]
[1,5,2,6,4,3,7,8]=>[1,5,4,6,2,3,7,8]
[1,5,2,4,6,3,7,8]=>[1,5,6,2,4,3,7,8]
[1,8,6,2,3,7,4,5]=>[1,6,2,8,3,7,4,5]
[1,5,2,8,6,3,4,7]=>[1,5,6,3,2,8,4,7]
[1,3,6,8,2,7,4,5]=>[1,8,3,7,4,6,2,5]
[1,4,3,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]
[1,7,2,3,8,5,4,6]=>[1,7,2,5,8,4,3,6]
[1,3,8,4,2,5,6,7]=>[1,4,3,8,2,5,6,7]
[1,6,2,8,5,4,3,7]=>[1,6,4,5,8,2,3,7]
[1,7,2,3,8,6,4,5]=>[1,7,2,6,4,8,3,5]
[1,5,3,8,2,7,4,6]=>[1,8,5,7,3,4,2,6]
[1,4,6,5,2,8,3,7]=>[1,5,6,4,8,3,2,7]
[1,5,6,4,2,8,3,7]=>[1,4,6,8,5,3,2,7]
[1,4,8,2,5,6,3,7]=>[1,8,6,4,2,5,3,7]
[1,5,7,3,2,8,4,6]=>[1,3,7,8,5,4,2,6]
[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]
[1,7,2,3,6,8,4,5]=>[1,7,2,8,4,3,6,5]
[1,4,8,3,2,5,6,7]=>[1,3,8,4,2,5,6,7]
[1,7,2,5,8,3,4,6]=>[1,7,8,3,2,4,5,6]
[6,2,3,5,8,1,7,4]=>[8,6,2,7,3,5,1,4]
[5,2,4,8,1,6,7,3]=>[8,5,7,2,4,1,6,3]
[2,6,4,5,7,3,1,8]=>[3,2,7,6,4,5,1,8]
[2,5,6,3,4,7,1,8]=>[7,2,6,3,5,4,1,8]
[1,3,7,5,6,8,4,2]=>[1,4,3,8,7,5,6,2]
[1,3,6,7,4,5,8,2]=>[1,8,3,7,4,6,5,2]
[1,5,6,3,4,2,7,8]=>[1,4,6,3,5,2,7,8]
[1,5,6,3,4,7,2,8]=>[1,7,6,3,5,4,2,8]
[1,5,3,6,4,2,7,8]=>[1,4,6,5,2,3,7,8]
[1,7,5,6,8,3,4,2]=>[1,4,8,3,7,5,6,2]
[1,7,5,6,3,8,4,2]=>[1,4,8,6,7,5,2,3]
[1,3,7,5,2,8,6,4]=>[1,5,3,7,6,8,4,2]
[1,3,7,2,5,8,6,4]=>[1,7,3,6,2,8,5,4]
[1,5,3,7,4,6,2,8]=>[1,6,5,7,3,4,2,8]
[1,5,3,7,6,4,2,8]=>[1,4,6,5,2,7,3,8]
[1,5,3,6,7,4,2,8]=>[1,4,7,5,2,6,3,8]
[1,5,6,3,7,4,2,8]=>[1,4,7,6,5,2,3,8]
[1,5,7,6,3,4,8,2]=>[1,8,6,3,5,7,4,2]
[1,5,7,3,6,4,8,2]=>[1,8,7,6,5,3,4,2]
[1,3,7,2,5,6,8,4]=>[1,7,3,8,2,5,6,4]
[1,3,7,5,6,2,8,4]=>[1,6,3,8,7,5,2,4]
[4,6,8,3,1,7,2,5]=>[3,8,7,4,1,6,2,5]
[2,5,7,4,1,3,8,6]=>[4,2,1,7,5,8,3,6]
[6,7,3,1,8,5,2,4]=>[3,7,5,1,8,6,2,4]
[4,7,3,6,1,8,2,5]=>[6,8,7,4,2,3,1,5]
[6,3,1,5,8,7,2,4]=>[3,6,7,1,2,5,8,4]
[8,3,5,1,7,6,2,4]=>[5,6,7,3,2,8,1,4]
[6,3,4,7,2,1,8,5]=>[2,7,6,3,8,4,1,5]
[5,3,6,8,7,2,1,4]=>[2,7,5,1,3,6,8,4]
[4,6,3,5,8,2,1,7]=>[2,8,6,4,3,5,1,7]
[3,6,2,5,8,4,1,7]=>[4,8,3,6,1,5,2,7]
[7,2,4,8,6,3,1,5]=>[3,6,8,2,1,7,4,5]
[2,3,5,7,4,1,8,6]=>[4,2,3,7,5,8,1,6]
[2,3,6,4,1,8,7,5]=>[4,2,3,6,7,1,8,5]
[8,2,5,3,1,7,6,4]=>[3,5,8,6,1,7,2,4]
[6,2,4,8,3,1,7,5]=>[3,8,6,1,7,4,2,5]
[5,2,6,4,3,1,8,7]=>[3,4,6,5,2,1,8,7]
[4,7,3,5,2,1,8,6]=>[2,5,7,4,3,8,1,6]
[8,3,4,6,2,1,7,5]=>[2,6,8,3,7,4,1,5]
[8,4,5,2,1,7,6,3]=>[2,5,6,7,3,8,1,4]
[7,4,5,2,1,8,6,3]=>[2,5,6,8,3,7,1,4]
[2,5,6,3,1,8,7,4]=>[3,2,6,7,5,1,8,4]
[4,7,5,2,1,8,6,3]=>[2,5,7,4,6,8,3,1]
[8,5,3,6,2,1,7,4]=>[2,6,5,8,7,4,1,3]
[5,6,4,3,8,2,1,7]=>[2,8,4,6,5,3,1,7]
[4,5,7,3,1,2,8,6]=>[3,1,7,4,5,8,2,6]
[4,5,1,8,3,2,7,6]=>[5,3,8,4,1,7,2,6]
[5,7,4,6,3,2,1,8]=>[2,3,6,7,5,4,1,8]
[3,6,1,2,4,8,7,5]=>[6,1,3,2,7,4,8,5]
[2,5,3,8,4,1,7,6]=>[4,2,8,5,1,7,3,6]
[4,5,2,8,3,1,7,6]=>[3,8,5,4,1,7,2,6]
[4,6,3,2,8,5,1,7]=>[5,3,8,4,6,1,2,7]
[7,4,2,8,3,1,6,5]=>[3,8,4,7,6,2,1,5]
[8,6,2,3,1,7,5,4]=>[3,6,2,5,8,7,4,1]
[6,7,2,3,1,8,5,4]=>[3,7,2,5,8,6,1,4]
[5,7,2,3,1,8,6,4]=>[3,7,2,6,5,8,1,4]
[2,7,3,4,1,8,6,5]=>[4,2,7,3,6,8,1,5]
[2,6,3,4,1,8,7,5]=>[4,2,6,3,7,1,8,5]
[7,5,2,3,1,8,6,4]=>[3,5,2,7,6,8,4,1]
[6,3,1,2,4,8,7,5]=>[3,1,6,2,7,4,8,5]
[8,2,3,4,1,7,6,5]=>[4,8,2,3,6,7,1,5]
[6,2,3,4,1,8,7,5]=>[4,6,2,3,7,1,8,5]
[4,7,5,2,3,6,1,8]=>[6,5,2,4,7,3,1,8]
[3,6,8,4,5,1,2,7]=>[5,1,3,8,4,6,2,7]
[5,2,3,7,6,4,1,8]=>[4,6,1,5,3,7,2,8]
[6,2,7,3,5,4,1,8]=>[4,5,6,7,1,3,2,8]
[7,2,6,5,3,4,1,8]=>[4,7,5,3,6,2,1,8]
[8,2,6,5,4,1,3,7]=>[4,5,1,6,8,2,3,7]
[6,2,8,4,5,1,3,7]=>[5,6,1,8,4,2,3,7]
[2,3,1,7,8,5,6,4]=>[3,2,1,6,8,5,7,4]
[7,2,8,5,1,4,3,6]=>[5,8,4,2,7,3,1,6]
[8,6,7,1,4,2,3,5]=>[7,4,2,1,3,8,6,5]
[6,8,7,1,4,3,2,5]=>[7,3,4,1,2,6,8,5]
[6,8,2,5,3,1,4,7]=>[3,5,8,2,1,6,4,7]
[3,7,8,5,1,4,2,6]=>[5,4,3,1,8,2,7,6]
[4,8,7,3,1,2,5,6]=>[3,1,7,4,2,5,8,6]
[4,8,6,2,3,1,5,7]=>[3,6,2,4,1,8,5,7]
[3,8,5,4,2,1,6,7]=>[2,4,3,5,8,1,6,7]
[4,5,3,8,2,1,6,7]=>[2,8,5,4,3,1,6,7]
[3,7,4,1,8,2,6,5]=>[4,7,3,8,6,1,2,5]
[3,8,4,1,7,6,2,5]=>[4,8,3,6,1,7,2,5]
[3,7,2,1,8,4,6,5]=>[2,7,3,8,6,4,1,5]
[8,7,1,6,5,2,3,4]=>[7,5,2,3,6,1,8,4]
[8,5,1,2,7,6,3,4]=>[5,1,8,2,6,7,3,4]
[3,8,2,1,7,6,4,5]=>[2,8,3,6,4,7,1,5]
[3,5,7,8,2,4,6,1]=>[6,8,3,2,5,4,7,1]
[7,8,2,5,4,3,6,1]=>[6,8,4,5,2,3,7,1]
[4,5,3,7,8,2,6,1]=>[6,8,5,4,3,2,7,1]
[1,5,4,7,3,6,2,8]=>[1,6,7,5,4,3,2,8]
[1,7,3,6,8,4,5,2]=>[1,5,7,8,4,3,6,2]
[4,6,8,2,7,3,5,1]=>[5,8,7,4,3,6,2,1]
[4,7,6,3,5,1,8,2]=>[5,8,6,4,3,7,1,2]
[7,8,3,6,1,5,4,2]=>[6,4,5,8,1,2,7,3]
[2,5,7,8,4,6,1,3]=>[6,2,1,8,5,4,7,3]
[3,7,5,6,2,1,4,8]=>[2,6,3,1,7,5,4,8]
[6,2,1,7,4,5,3,8]=>[2,6,5,7,4,1,3,8]
[1,2,6,4,7,5,3,8]=>[1,2,5,7,6,3,4,8]
[7,5,6,3,8,4,2,1]=>[2,4,8,6,7,5,1,3]
[8,5,4,2,1,6,7,3]=>[2,4,5,8,7,1,6,3]
[2,6,8,4,7,5,1,3]=>[5,2,1,7,8,6,3,4]
[6,7,5,1,4,8,3,2]=>[5,3,7,2,8,6,4,1]
[7,4,1,6,5,3,8,2]=>[4,7,8,5,6,2,1,3]
[5,8,2,7,3,6,4,1]=>[4,6,8,7,5,1,3,2]
[1,6,5,7,3,8,4,2]=>[1,4,8,7,6,5,2,3]
[1,5,6,8,4,2,7,3]=>[1,4,8,7,5,6,3,2]
[7,5,4,1,8,2,6,3]=>[4,5,7,8,6,1,3,2]
[6,4,1,8,2,7,5,3]=>[4,6,8,5,7,2,3,1]
[7,8,5,3,2,6,1,4]=>[6,3,5,1,8,2,7,4]
[8,2,5,1,7,6,4,3]=>[5,8,4,6,2,7,1,3]
[6,7,4,3,8,2,5,1]=>[5,8,4,7,2,6,3,1]
[3,4,2,7,8,6,1,5]=>[6,4,3,2,1,8,7,5]
[7,8,6,1,4,3,2,5]=>[6,3,4,1,2,8,7,5]
[2,4,7,8,6,1,3,5]=>[6,2,1,4,3,8,7,5]
[3,7,8,6,5,2,4,1]=>[4,5,3,2,6,8,7,1]
[4,5,2,7,8,6,3,1]=>[3,6,5,4,1,8,7,2]
[4,6,2,5,3,1,7,8]=>[3,5,6,4,1,2,7,8]
[4,1,5,6,3,2,7,8]=>[4,3,6,1,5,2,7,8]
[2,6,7,5,4,1,3,8]=>[4,2,1,5,7,6,3,8]
[4,1,6,7,5,3,2,8]=>[4,3,5,1,7,6,2,8]
[6,7,4,3,1,5,2,8]=>[3,4,7,5,1,6,2,8]
[1,7,5,6,4,3,2,8]=>[1,3,4,6,7,5,2,8]
[7,6,5,3,1,8,4,2]=>[3,5,4,6,7,8,2,1]
[7,8,6,4,3,1,5,2]=>[3,4,6,5,1,8,7,2]
[4,1,7,8,6,5,3,2]=>[4,3,5,1,6,8,7,2]
[4,5,7,3,8,6,1,2]=>[6,1,8,4,5,7,2,3]
[6,8,5,3,7,2,1,4]=>[2,7,5,1,8,6,3,4]
[4,6,7,8,5,3,1,2]=>[3,1,5,4,8,6,7,2]
[3,4,7,5,6,8,1,2]=>[8,1,3,4,7,5,6,2]
[4,7,1,5,8,2,6,3]=>[7,8,6,4,1,2,5,3]
[3,7,6,1,2,8,5,4]=>[6,1,3,5,7,8,4,2]
[3,7,6,2,1,8,4,5]=>[2,6,3,7,1,8,4,5]
[2,7,5,8,3,6,4,1]=>[4,2,6,8,7,1,5,3]
[7,4,8,2,6,5,3,1]=>[3,5,6,8,7,4,2,1]
[7,5,4,8,2,6,3,1]=>[3,6,8,5,7,1,4,2]
[4,3,8,1,6,5,2,7]=>[8,5,4,3,6,1,2,7]
[2,3,6,5,7,8,1,4]=>[8,2,3,1,6,5,7,4]
[8,3,4,1,2,6,7,5]=>[4,1,8,3,7,2,6,5]
[7,3,4,8,5,2,1,6]=>[2,5,8,1,7,3,4,6]
[7,3,8,4,1,5,6,2]=>[4,8,6,7,2,5,1,3]
[7,2,4,5,1,8,3,6]=>[5,7,8,2,4,3,1,6]
[3,8,7,5,1,4,2,6]=>[5,4,3,1,7,2,8,6]
[4,3,8,7,1,5,2,6]=>[7,5,4,3,1,2,8,6]
[7,3,1,2,8,5,6,4]=>[3,1,7,6,8,5,2,4]
[4,8,2,3,5,7,6,1]=>[6,7,1,4,3,8,5,2]
[4,5,2,3,8,6,7,1]=>[7,5,2,4,3,8,6,1]
[6,7,4,8,5,3,2,1]=>[2,3,5,8,7,6,1,4]
[3,7,6,1,4,2,8,5]=>[6,4,3,1,7,8,5,2]
[4,3,5,6,1,7,8,2]=>[6,8,4,3,5,1,7,2]
[3,5,2,6,4,7,8,1]=>[8,5,3,6,2,4,7,1]
[5,6,7,2,4,3,8,1]=>[8,7,4,2,5,6,3,1]
[5,6,1,8,7,3,4,2]=>[6,4,7,3,5,1,8,2]
[4,1,2,8,5,7,6,3]=>[4,1,6,2,7,8,3,5]
[3,1,5,6,4,7,8,2]=>[3,8,1,6,5,4,7,2]
[3,1,4,6,7,5,8,2]=>[3,8,1,4,7,6,5,2]
[5,2,1,4,6,8,3,7]=>[2,5,8,1,4,6,3,7]
[2,6,4,5,8,1,3,7]=>[8,2,1,6,4,5,3,7]
[6,4,1,3,5,8,2,7]=>[4,6,2,8,3,5,1,7]
[5,2,3,6,4,8,1,7]=>[8,5,2,6,3,4,1,7]
[8,6,5,2,3,7,4,1]=>[4,7,1,5,6,8,3,2]
[3,4,1,7,2,6,8,5]=>[4,7,3,1,8,2,6,5]
[7,3,1,4,5,8,2,6]=>[3,7,8,2,4,1,5,6]
[2,4,7,5,8,1,3,6]=>[8,2,1,4,7,3,5,6]
[6,1,8,7,3,4,5,2]=>[6,5,7,3,4,1,8,2]
[6,8,7,4,1,3,5,2]=>[4,7,2,5,3,6,8,1]
[3,1,6,4,8,7,5,2]=>[3,5,1,7,6,2,8,4]
[3,7,1,4,5,8,6,2]=>[7,6,3,1,4,8,5,2]
[2,5,6,3,8,7,4,1]=>[4,2,7,6,5,1,8,3]
[5,8,7,4,1,3,6,2]=>[4,7,2,6,5,3,8,1]
[8,4,7,5,1,3,6,2]=>[5,7,2,6,8,3,1,4]
[8,7,1,5,3,4,6,2]=>[7,6,5,3,1,4,8,2]
[7,2,6,4,8,1,3,5]=>[8,7,1,6,3,2,4,5]
[5,7,3,1,2,6,8,4]=>[3,1,7,8,5,2,6,4]
[3,7,6,2,1,5,8,4]=>[2,6,3,7,4,8,5,1]
[4,2,6,1,3,7,8,5]=>[6,4,1,2,8,3,7,5]
[8,5,4,2,7,6,3,1]=>[3,6,4,5,7,8,2,1]
[2,7,4,3,1,6,8,5]=>[3,2,4,7,8,1,6,5]
[2,8,4,6,7,1,3,5]=>[7,2,1,8,3,4,6,5]
[1,8,3,4,6,7,2,5]=>[1,7,8,3,2,4,6,5]
[8,2,3,6,1,5,7,4]=>[6,8,2,7,1,3,5,4]
[2,5,3,1,6,8,7,4]=>[3,2,5,7,1,6,8,4]
[2,5,1,6,4,8,7,3]=>[5,2,7,6,1,4,8,3]
[5,8,2,1,4,6,7,3]=>[2,8,7,1,5,4,6,3]
[8,4,6,1,2,5,7,3]=>[6,1,7,8,2,4,5,3]
[3,7,8,4,2,6,5,1]=>[5,4,3,6,8,1,7,2]
[8,5,1,4,2,6,7,3]=>[5,4,8,3,7,2,6,1]
[3,5,1,8,6,7,2,4]=>[5,7,3,2,1,8,6,4]
[5,6,2,8,7,1,3,4]=>[7,6,1,3,5,2,8,4]
[7,2,4,8,5,6,1,3]=>[6,7,1,2,8,5,4,3]
[7,1,3,8,4,5,6,2]=>[7,6,1,8,4,5,3,2]
[7,8,1,4,3,5,6,2]=>[8,6,4,1,3,5,7,2]
[2,6,7,8,3,5,1,4]=>[5,2,8,1,3,6,7,4]
[3,6,7,8,2,1,5,4]=>[2,8,3,5,1,6,7,4]
[3,6,7,2,8,1,5,4]=>[8,7,3,5,1,6,2,4]
[2,6,7,1,3,5,8,4]=>[7,2,1,8,3,6,5,4]
[3,6,7,1,2,8,5,4]=>[7,1,3,5,8,6,2,4]
[3,6,7,1,8,2,5,4]=>[7,8,3,5,2,6,1,4]
[3,4,1,8,7,2,6,5]=>[4,7,3,1,6,2,8,5]
[2,5,1,7,3,6,8,4]=>[5,2,7,8,1,3,6,4]
[3,1,5,7,2,8,6,4]=>[3,7,1,6,5,8,2,4]
[3,1,5,7,8,2,6,4]=>[3,8,1,6,5,2,7,4]
[3,8,1,4,7,2,6,5]=>[8,7,3,1,6,2,4,5]
[4,8,1,3,2,7,6,5]=>[8,3,1,4,6,7,2,5]
[4,1,8,3,2,7,6,5]=>[4,3,8,1,6,7,2,5]
[4,1,3,8,2,7,6,5]=>[4,8,1,3,6,7,2,5]
[1,4,2,3,7,6,5,8]=>[1,4,2,3,6,7,5,8]
[4,3,1,8,2,7,6,5]=>[3,4,8,2,6,7,1,5]
[4,3,8,1,2,7,6,5]=>[8,1,4,3,6,7,2,5]
[4,3,8,2,1,7,6,5]=>[2,8,4,3,6,7,1,5]
[3,4,2,8,7,1,6,5]=>[7,4,3,2,6,1,8,5]
[3,8,4,2,7,1,6,5]=>[7,4,3,8,6,1,2,5]
[2,8,4,3,7,6,1,5]=>[6,2,4,7,3,8,1,5]
[2,4,3,8,7,6,1,5]=>[6,2,4,3,1,7,8,5]
[2,4,5,7,6,1,8,3]=>[6,2,7,4,5,8,3,1]
[2,4,5,7,6,8,1,3]=>[8,2,1,4,5,7,6,3]
[2,3,5,7,8,6,1,4]=>[6,2,3,1,5,8,7,4]
[2,3,8,4,7,6,1,5]=>[6,2,3,7,4,8,1,5]
[3,8,2,4,7,1,6,5]=>[7,8,3,2,6,1,4,5]
[3,2,4,8,7,1,6,5]=>[7,3,2,4,6,1,8,5]
[3,2,5,7,1,8,6,4]=>[7,3,2,6,5,8,1,4]
[2,3,5,7,1,6,8,4]=>[7,2,3,8,5,1,6,4]
[4,2,3,8,1,7,6,5]=>[8,4,2,3,6,7,1,5]
[4,2,8,3,1,7,6,5]=>[3,8,4,1,6,7,2,5]
[4,8,2,3,1,7,6,5]=>[3,8,2,4,6,7,1,5]
[4,8,2,1,3,7,6,5]=>[2,8,1,4,6,7,3,5]
[4,2,8,1,3,7,6,5]=>[8,4,1,2,6,7,3,5]
[3,1,2,4,7,8,6,5]=>[3,1,2,4,6,8,7,5]
[3,5,4,7,2,8,1,6]=>[8,7,3,5,4,1,2,6]
[3,6,4,7,8,2,1,5]=>[2,8,3,6,1,4,7,5]
[2,3,4,6,8,7,1,5]=>[7,2,3,4,1,6,8,5]
[5,3,4,6,1,7,8,2]=>[6,8,5,3,4,1,7,2]
[2,5,7,8,6,1,3,4]=>[6,2,1,3,5,8,7,4]
[2,4,7,6,8,1,3,5]=>[8,2,1,4,3,7,6,5]
[4,6,5,1,7,2,8,3]=>[5,6,7,4,8,2,3,1]
[5,6,4,7,1,2,8,3]=>[7,1,8,6,5,4,2,3]
[4,6,7,5,8,2,3,1]=>[3,8,2,4,7,6,5,1]
[3,5,1,7,6,8,4,2]=>[5,4,3,8,1,7,6,2]
[4,5,7,1,6,8,3,2]=>[7,3,8,4,5,1,6,2]
[3,2,7,6,8,1,4,5]=>[8,3,2,1,4,7,6,5]
[6,1,3,5,7,8,4,2]=>[6,4,1,8,3,5,7,2]
[4,5,1,7,6,8,2,3]=>[5,8,2,4,1,7,6,3]
[6,2,5,7,1,3,8,4]=>[7,6,1,8,2,5,3,4]
[7,6,1,5,2,8,4,3]=>[6,5,4,7,3,8,2,1]
[4,1,7,8,3,5,2,6]=>[4,5,8,1,3,2,7,6]
[5,7,2,3,1,8,4,6]=>[3,7,2,8,5,4,1,6]
[7,2,8,3,1,6,5,4]=>[3,8,7,5,6,2,1,4]
[6,7,2,8,3,1,4,5]=>[3,8,7,2,4,6,1,5]
[3,1,7,6,2,8,4,5]=>[3,6,1,7,2,8,4,5]
[7,6,3,1,2,8,4,5]=>[3,1,6,7,2,8,4,5]
[6,2,7,8,4,1,3,5]=>[4,8,2,6,3,1,7,5]
[7,2,6,8,3,4,1,5]=>[4,7,8,3,1,2,6,5]
[7,2,4,1,6,8,3,5]=>[4,7,8,2,3,1,6,5]
[8,3,6,7,2,4,1,5]=>[4,7,8,2,1,3,6,5]
[4,1,8,3,6,7,2,5]=>[4,7,8,1,2,3,6,5]
[6,3,7,8,4,1,2,5]=>[4,1,8,6,3,2,7,5]
[7,8,5,2,4,1,3,6]=>[4,5,1,2,8,3,7,6]
[6,2,3,7,8,4,1,5]=>[4,8,1,6,2,3,7,5]
[7,6,2,3,1,8,4,5]=>[3,6,2,7,1,8,4,5]
[2,6,3,7,8,4,1,5]=>[4,2,8,6,3,1,7,5]
[2,7,8,5,3,4,1,6]=>[4,2,5,3,8,1,7,6]
[4,8,5,2,3,1,7,6]=>[3,5,2,4,8,7,1,6]
[4,2,5,1,3,7,8,6]=>[5,4,1,2,3,8,7,6]
[4,3,5,1,2,7,8,6]=>[5,1,4,3,2,8,7,6]
[3,5,1,4,2,7,8,6]=>[5,4,3,1,2,8,7,6]
[3,4,1,7,8,5,2,6]=>[4,5,3,1,8,2,7,6]
[4,1,3,7,8,5,2,6]=>[4,5,1,3,8,2,7,6]
[3,1,4,8,5,2,7,6]=>[3,5,1,4,8,7,2,6]
[4,3,1,8,5,2,7,6]=>[3,4,5,2,8,7,1,6]
[8,4,7,5,3,6,2,1]=>[2,6,5,7,8,4,3,1]
[6,3,8,4,7,5,2,1]=>[2,5,7,6,8,4,1,3]
[8,5,3,1,4,2,7,6]=>[3,5,4,2,8,7,1,6]
[3,1,8,5,4,2,7,6]=>[3,4,1,5,8,7,2,6]
[8,5,4,3,1,2,7,6]=>[3,1,4,5,8,7,2,6]
[7,6,3,5,8,4,2,1]=>[2,4,8,6,1,7,5,3]
[4,5,1,3,2,7,8,6]=>[5,3,1,4,2,8,7,6]
[5,1,3,2,4,7,8,6]=>[5,3,1,2,4,8,7,6]
[8,5,4,2,3,1,7,6]=>[3,4,2,5,8,7,1,6]
[2,3,7,8,5,4,1,6]=>[4,2,3,5,8,1,7,6]
[8,3,5,6,1,7,2,4]=>[6,7,8,2,3,5,1,4]
[4,5,8,1,2,6,7,3]=>[8,1,7,4,5,2,6,3]
[5,3,6,7,8,2,1,4]=>[2,8,5,1,3,6,7,4]
[1,3,4,8,6,2,7,5]=>[1,6,3,4,8,7,5,2]
[8,3,7,4,6,2,1,5]=>[2,6,8,7,1,4,3,5]
[4,8,3,5,7,2,1,6]=>[2,7,8,4,3,1,5,6]
[1,2,4,8,7,3,5,6]=>[1,2,7,4,3,5,8,6]
[5,2,7,8,3,1,4,6]=>[3,8,5,2,1,4,7,6]
[7,2,4,1,3,8,5,6]=>[4,7,1,2,8,5,3,6]
[3,8,2,5,4,1,6,7]=>[4,5,3,8,1,2,6,7]
[8,4,5,2,6,1,7,3]=>[6,5,7,8,4,2,1,3]
[4,5,6,2,7,8,1,3]=>[8,6,1,4,5,2,7,3]
[2,6,7,3,8,1,4,5]=>[8,2,7,1,4,6,3,5]
[2,8,6,3,1,7,4,5]=>[3,2,6,8,1,7,4,5]
[4,7,5,1,2,6,8,3]=>[5,1,7,4,8,3,6,2]
[5,6,1,4,2,8,7,3]=>[6,4,7,1,5,2,8,3]
[4,5,8,1,3,2,7,6]=>[8,3,1,4,5,7,2,6]
[4,7,1,2,6,3,5,8]=>[7,1,6,4,3,2,5,8]
[4,6,8,2,3,7,5,1]=>[5,7,1,4,8,6,3,2]
[4,5,7,2,3,6,1,8]=>[6,7,2,4,5,3,1,8]
[2,5,7,3,4,6,8,1]=>[8,2,7,3,5,4,6,1]
[5,8,2,1,3,7,4,6]=>[2,8,1,7,5,4,3,6]
[7,4,2,1,6,3,5,8]=>[2,4,7,6,1,3,5,8]
[8,5,2,3,1,7,4,6]=>[3,5,2,8,7,1,4,6]
[6,8,2,3,1,4,7,5]=>[3,8,2,1,7,6,4,5]
[2,7,3,4,1,5,6,8]=>[4,2,7,3,1,5,6,8]
[6,7,2,3,4,8,1,5]=>[8,7,2,3,1,6,4,5]
[7,4,2,1,3,5,8,6]=>[2,4,1,7,3,8,5,6]
[3,5,2,4,6,7,8,1]=>[8,5,3,2,4,6,7,1]
[4,2,6,3,5,7,8,1]=>[8,4,6,2,3,5,7,1]
[5,2,3,7,4,6,8,1]=>[8,5,2,7,3,4,6,1]
[6,2,3,4,8,5,7,1]=>[7,6,2,3,8,4,5,1]
[2,7,5,8,4,1,6,3]=>[4,2,8,6,7,3,5,1]
[1,7,5,8,4,2,6,3]=>[1,4,8,6,7,3,5,2]
[1,4,8,5,6,2,7,3]=>[1,6,7,4,8,5,2,3]
[2,4,8,5,6,1,7,3]=>[6,2,7,4,8,5,1,3]
[6,3,5,8,4,7,1,2]=>[7,1,6,8,3,5,4,2]
[2,8,7,4,5,1,6,3]=>[5,2,6,7,4,1,8,3]
[1,8,7,4,5,2,6,3]=>[1,5,6,7,4,2,8,3]
[1,3,8,5,2,6,7,4]=>[1,5,3,8,7,4,6,2]
[7,2,8,4,5,1,6,3]=>[5,7,6,8,4,1,2,3]
[6,2,5,8,4,1,7,3]=>[4,8,6,7,3,5,2,1]
[3,1,8,5,2,6,7,4]=>[3,5,1,8,7,4,6,2]
[1,2,8,5,3,6,7,4]=>[1,2,5,8,7,4,6,3]
[7,1,3,5,2,6,8,4]=>[7,5,1,8,3,2,6,4]
[5,4,1,3,2,7,8,6]=>[4,3,1,5,2,8,7,6]
[5,4,8,2,1,6,7,3]=>[2,8,7,5,4,1,6,3]
[6,8,3,2,1,5,7,4]=>[2,3,8,7,1,6,5,4]
[7,8,2,4,1,5,6,3]=>[4,8,6,2,1,5,7,3]
[6,2,3,5,1,7,8,4]=>[5,6,2,8,3,1,7,4]
[8,6,2,4,1,5,7,3]=>[4,6,8,3,1,7,5,2]
[1,7,3,5,2,6,8,4]=>[1,5,7,8,3,2,6,4]
[1,6,4,3,2,7,8,5]=>[1,3,4,6,8,2,7,5]
[8,5,3,2,1,6,7,4]=>[2,3,5,8,7,4,6,1]
[2,6,4,3,1,7,8,5]=>[3,2,4,6,8,1,7,5]
[2,7,5,1,3,6,8,4]=>[5,2,1,7,8,4,6,3]
[1,7,5,2,3,6,8,4]=>[1,5,2,7,8,4,6,3]
[2,8,1,5,3,6,7,4]=>[8,2,5,7,1,3,6,4]
[3,8,1,5,2,6,7,4]=>[8,5,3,7,1,2,6,4]
[4,8,1,5,6,2,7,3]=>[8,6,7,4,1,5,2,3]
[7,8,4,1,5,2,6,3]=>[4,8,5,6,2,3,7,1]
[5,4,3,1,2,7,8,6]=>[3,1,4,5,2,8,7,6]
[7,3,1,5,2,6,8,4]=>[3,7,5,8,2,1,6,4]
[7,1,5,2,3,6,8,4]=>[7,5,2,8,1,3,6,4]
[8,1,2,5,3,6,7,4]=>[8,1,5,7,2,3,6,4]
[8,4,1,6,3,7,2,5]=>[4,8,7,6,3,2,1,5]
[6,3,5,8,1,7,2,4]=>[8,7,6,2,3,5,1,4]
[6,7,5,3,8,2,1,4]=>[2,8,5,1,7,6,3,4]
[6,5,7,4,2,8,1,3]=>[8,4,1,7,6,5,2,3]
[6,5,2,1,4,8,7,3]=>[2,5,6,3,7,4,8,1]
[5,2,6,8,3,7,1,4]=>[7,5,8,1,2,6,3,4]
[4,2,5,8,6,7,1,3]=>[7,4,1,2,5,8,6,3]
[5,8,6,3,4,1,7,2]=>[4,7,6,3,5,8,1,2]
[6,3,4,1,5,8,7,2]=>[4,7,6,3,1,5,8,2]
[5,4,6,1,7,2,3,8]=>[6,7,2,5,4,1,3,8]
[7,5,4,1,8,6,2,3]=>[4,5,2,7,6,8,1,3]
[8,7,2,3,5,6,4,1]=>[4,6,1,7,3,5,8,2]
[3,7,2,4,1,8,6,5]=>[4,7,3,2,6,8,1,5]
[3,7,2,4,1,5,8,6]=>[4,7,3,2,1,8,5,6]
[8,2,7,5,3,4,6,1]=>[6,8,5,3,7,4,2,1]
[2,4,7,8,5,1,3,6]=>[5,2,1,4,8,3,7,6]
[7,8,3,4,1,2,6,5]=>[4,1,8,3,6,2,7,5]
[2,5,3,8,4,1,6,7]=>[4,2,8,5,1,3,6,7]
[8,2,1,7,4,6,5,3]=>[2,8,5,6,7,3,1,4]
[2,7,6,5,3,8,4,1]=>[4,2,8,5,6,7,1,3]
[5,7,6,8,1,3,4,2]=>[8,4,1,3,5,7,6,2]
[3,6,5,1,7,4,8,2]=>[5,6,3,8,7,2,1,4]
[6,1,5,3,7,4,2,8]=>[6,4,7,5,1,2,3,8]
[5,3,7,6,8,4,2,1]=>[2,4,8,5,1,7,6,3]
[3,1,7,4,5,6,2,8]=>[3,6,1,7,4,5,2,8]
[3,6,7,1,2,5,4,8]=>[7,1,3,5,2,6,4,8]
[1,7,3,4,8,2,6,5]=>[1,8,7,3,6,2,4,5]
[8,5,7,4,2,3,1,6]=>[3,4,2,7,8,1,5,6]
[2,6,5,4,8,3,7,1]=>[7,2,8,5,6,4,3,1]
[2,4,8,3,5,7,1,6]=>[7,2,8,4,3,1,5,6]
[8,1,7,2,4,3,5,6]=>[8,7,4,2,3,5,1,6]
[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]
[1,3,7,2,4,6,5,8]=>[1,7,3,2,6,4,5,8]
[1,7,3,2,4,6,5,8]=>[1,3,7,2,6,4,5,8]
[1,8,3,7,4,2,5,6]=>[1,4,7,8,3,5,2,6]
[8,7,3,1,4,2,5,6]=>[3,7,4,2,1,5,8,6]
[2,8,4,3,5,7,1,6]=>[7,2,4,8,3,1,5,6]
[3,2,8,7,4,1,5,6]=>[4,3,2,7,1,5,8,6]
[3,2,1,7,4,6,5,8]=>[2,3,1,7,6,4,5,8]
[3,2,6,5,1,7,8,4]=>[5,3,2,6,8,4,7,1]
[5,3,2,6,7,1,8,4]=>[7,3,5,8,2,6,1,4]
[3,2,8,6,7,4,1,5]=>[4,3,2,7,1,8,6,5]
[8,4,6,2,7,3,1,5]=>[3,7,6,8,2,4,1,5]
[4,3,8,6,7,2,1,5]=>[2,7,4,3,1,8,6,5]
[4,3,6,2,8,7,1,5]=>[7,6,4,3,1,2,8,5]
[3,8,4,7,6,5,1,2]=>[5,1,3,6,7,8,4,2]
[7,8,4,2,6,3,5,1]=>[5,4,8,6,2,3,7,1]
[3,2,7,8,6,4,5,1]=>[5,3,2,6,4,8,7,1]
[3,2,7,5,6,8,4,1]=>[4,3,2,8,7,5,6,1]
[5,7,8,6,3,2,4,1]=>[4,3,6,2,5,8,7,1]
[6,5,4,2,1,7,8,3]=>[2,4,5,6,8,1,7,3]
[5,4,2,1,7,6,3,8]=>[2,4,5,6,3,7,1,8]
[4,1,6,5,2,7,8,3]=>[4,5,6,1,8,3,7,2]
[5,4,1,6,7,2,8,3]=>[4,5,7,8,2,6,3,1]
[6,8,5,3,1,7,2,4]=>[3,5,8,2,7,6,1,4]
[5,2,6,3,8,7,1,4]=>[7,5,6,1,2,3,8,4]
[8,6,1,7,3,4,2,5]=>[6,4,8,1,2,7,3,5]
[1,8,3,6,7,4,2,5]=>[1,4,7,8,3,2,6,5]
[1,6,3,5,2,7,8,4]=>[1,5,6,8,3,2,7,4]
[1,5,7,3,2,6,4,8]=>[1,3,7,6,5,2,4,8]
[5,1,3,7,2,6,4,8]=>[5,7,1,6,3,2,4,8]
[8,1,6,7,2,4,3,5]=>[8,7,4,2,3,1,6,5]
[6,1,4,8,2,7,3,5]=>[6,8,7,1,3,4,2,5]
[6,2,4,8,3,7,1,5]=>[7,6,8,2,1,4,3,5]
[8,7,2,6,3,5,1,4]=>[5,7,6,1,3,2,8,4]
[8,1,7,6,5,2,3,4]=>[8,5,2,3,6,7,1,4]
[7,1,5,6,8,2,4,3]=>[7,8,4,2,1,5,6,3]
[6,7,1,5,2,4,8,3]=>[7,5,8,2,1,6,4,3]
[7,6,1,5,2,4,3,8]=>[6,5,4,2,1,7,3,8]
[7,1,6,3,5,4,2,8]=>[7,4,5,6,2,1,3,8]
[1,6,7,3,5,4,8,2]=>[1,8,7,5,3,6,4,2]
[1,7,3,5,6,8,4,2]=>[1,4,8,7,2,5,6,3]
[1,7,8,3,6,4,5,2]=>[1,5,8,6,4,3,7,2]
[1,8,7,6,4,5,2,3]=>[1,5,2,6,4,7,8,3]
[8,2,7,4,6,5,1,3]=>[5,6,2,8,7,1,4,3]
[2,8,5,7,6,4,1,3]=>[4,2,1,6,7,8,3,5]
[7,4,5,1,6,8,3,2]=>[5,3,8,7,4,1,6,2]
[4,1,7,5,6,8,3,2]=>[4,3,8,1,7,5,6,2]
[5,6,7,4,3,1,8,2]=>[3,4,7,8,5,6,1,2]
[6,7,8,5,3,1,4,2]=>[3,5,4,2,8,6,7,1]
[1,4,6,2,5,3,7,8]=>[1,6,5,4,2,3,7,8]
[1,6,3,2,5,4,7,8]=>[1,3,6,5,2,4,7,8]
[1,6,8,2,5,4,7,3]=>[1,8,7,5,2,6,4,3]
[1,5,4,2,6,3,7,8]=>[1,4,5,6,3,2,7,8]
[1,2,6,4,3,5,7,8]=>[1,2,4,6,3,5,7,8]
[1,6,8,2,7,5,4,3]=>[1,8,4,5,7,6,2,3]
[1,7,4,3,2,6,8,5]=>[1,3,4,7,8,2,6,5]
[1,5,4,7,2,6,8,3]=>[1,7,8,5,4,2,6,3]
[1,3,7,6,2,8,5,4]=>[1,6,3,5,7,8,4,2]
[1,7,6,2,8,4,3,5]=>[1,6,4,7,2,8,3,5]
[1,5,2,8,4,3,7,6]=>[1,5,4,8,2,7,3,6]
[1,2,8,4,3,6,5,7]=>[1,2,4,8,6,3,5,7]
[1,2,8,5,6,3,4,7]=>[1,2,6,3,8,5,4,7]
[1,7,3,5,2,8,6,4]=>[1,5,7,6,3,8,2,4]
[1,6,7,2,5,8,4,3]=>[1,7,4,8,2,6,5,3]
[1,5,8,3,2,7,4,6]=>[1,3,8,7,5,4,2,6]
[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]
[1,7,6,4,8,2,5,3]=>[1,8,5,6,2,7,4,3]
[1,4,8,6,5,2,7,3]=>[1,5,6,4,8,7,2,3]
[1,3,8,2,6,5,4,7]=>[1,8,3,5,6,2,4,7]
[1,7,6,3,8,2,4,5]=>[1,8,6,2,4,7,3,5]
[1,5,2,7,6,4,8,3]=>[1,5,8,6,2,7,4,3]
[1,2,4,3,8,7,5,6]=>[1,2,4,3,7,5,8,6]
[1,4,3,8,7,2,5,6]=>[1,7,4,3,2,5,8,6]
[1,3,8,6,2,4,5,7]=>[1,6,3,2,4,8,5,7]
[1,3,8,5,4,2,6,7]=>[1,4,3,5,8,2,6,7]
[1,7,2,4,8,6,5,3]=>[1,7,5,2,6,8,4,3]
[1,6,5,3,2,8,7,4]=>[1,3,5,6,7,4,8,2]
[1,3,2,8,7,5,4,6]=>[1,3,2,5,7,4,8,6]
[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]
[8,1,3,4,6,5,2,7]=>[8,5,1,3,6,4,2,7]
[8,3,1,4,6,5,2,7]=>[3,8,5,2,6,4,1,7]
[5,8,3,1,2,6,4,7]=>[3,1,8,6,5,2,4,7]
[4,8,1,7,5,2,3,6]=>[8,5,2,4,7,3,1,6]
[4,8,1,7,5,2,6,3]=>[8,5,7,4,6,3,1,2]
[8,5,1,4,2,6,3,7]=>[5,4,8,3,6,2,1,7]
[8,4,1,3,5,6,2,7]=>[4,8,2,6,3,5,1,7]
[8,5,3,2,1,6,4,7]=>[2,3,5,8,6,4,1,7]
[8,1,5,4,2,6,3,7]=>[8,4,5,6,1,3,2,7]
[8,5,2,4,1,6,3,7]=>[4,5,8,3,6,1,2,7]
[4,8,7,1,5,2,6,3]=>[7,5,6,4,1,2,8,3]
[4,8,7,1,5,2,3,6]=>[7,5,2,4,1,3,8,6]
[7,6,8,4,1,3,2,5]=>[4,3,1,8,2,7,6,5]
[7,6,8,4,1,3,5,2]=>[4,8,2,5,3,7,6,1]
[3,8,7,5,4,1,2,6]=>[4,1,3,5,7,2,8,6]
[4,8,2,7,5,1,3,6]=>[5,7,2,4,8,3,1,6]
[7,6,8,4,1,5,2,3]=>[4,8,1,5,2,7,6,3]
[8,7,6,1,5,2,3,4]=>[6,5,2,3,1,7,8,4]
[7,1,4,8,6,3,5,2]=>[7,5,6,1,3,8,4,2]
[8,1,6,5,3,4,7,2]=>[8,7,5,3,6,1,4,2]
[8,6,2,5,3,4,7,1]=>[7,6,5,3,2,8,4,1]
[8,6,5,1,3,4,7,2]=>[5,6,1,3,8,7,4,2]
[8,7,5,1,3,6,2,4]=>[5,7,2,1,6,3,8,4]
[8,7,1,5,3,6,2,4]=>[7,6,5,2,1,3,8,4]
[8,6,1,3,5,4,7,2]=>[6,8,2,5,3,7,4,1]
[7,1,4,8,3,6,5,2]=>[7,5,6,1,8,2,4,3]
[7,8,5,2,4,3,6,1]=>[6,5,4,2,8,3,7,1]
[7,3,8,2,5,4,6,1]=>[6,8,7,5,2,4,3,1]
[8,4,2,5,3,7,6,1]=>[6,4,7,5,1,8,2,3]
[4,8,1,5,3,7,6,2]=>[8,6,5,4,1,7,3,2]
[7,4,8,2,6,3,5,1]=>[5,8,6,7,3,2,4,1]
[7,4,8,2,6,3,1,5]=>[3,6,8,7,2,1,4,5]
[8,7,3,1,6,4,2,5]=>[3,7,4,6,1,2,8,5]
[8,7,3,1,6,4,5,2]=>[3,7,5,6,4,2,8,1]
[8,7,3,1,4,6,5,2]=>[3,7,5,2,6,4,8,1]
[8,4,3,2,7,5,6,1]=>[6,3,4,8,7,5,2,1]
[6,4,1,7,8,5,3,2]=>[4,3,6,5,8,2,7,1]
[7,6,3,4,1,8,5,2]=>[4,5,8,2,6,7,1,3]
[8,7,3,1,6,2,5,4]=>[3,7,6,5,1,2,8,4]
[7,8,6,4,2,5,1,3]=>[5,4,1,6,2,8,7,3]
[7,8,2,4,6,5,1,3]=>[5,6,2,1,8,4,7,3]
[8,1,7,3,5,6,2,4]=>[8,6,7,2,3,5,1,4]
[8,7,5,2,4,6,1,3]=>[6,5,1,2,7,4,8,3]
[8,1,7,5,4,6,2,3]=>[8,6,2,5,7,4,1,3]
[8,7,3,2,6,1,5,4]=>[6,3,7,5,1,2,8,4]
[5,3,1,7,6,4,2,8]=>[3,5,4,6,2,7,1,8]
[7,5,3,2,1,6,4,8]=>[2,3,5,7,6,4,1,8]
[7,6,5,3,1,4,2,8]=>[3,5,4,2,6,7,1,8]
[1,8,6,4,3,2,7,5]=>[1,3,4,6,8,7,5,2]
[1,8,7,6,4,2,5,3]=>[1,4,6,5,3,7,8,2]
[8,4,6,7,5,3,2,1]=>[2,3,5,7,8,1,6,4]
[1,4,8,6,7,5,3,2]=>[1,3,5,4,7,8,6,2]
[7,3,8,5,6,4,2,1]=>[2,4,6,7,8,5,1,3]
[7,8,2,5,6,4,3,1]=>[3,4,6,8,2,5,7,1]
[7,6,2,5,8,4,3,1]=>[3,4,8,6,2,7,5,1]
[1,7,3,6,8,5,4,2]=>[1,4,5,8,7,3,6,2]
[8,6,2,5,7,4,3,1]=>[3,4,7,6,2,8,5,1]
[7,1,3,6,8,5,4,2]=>[7,4,1,5,8,3,6,2]
[1,8,3,6,7,5,4,2]=>[1,4,5,7,8,3,6,2]
[1,8,2,7,5,6,4,3]=>[1,8,4,6,7,5,2,3]
[7,8,1,6,4,5,3,2]=>[8,3,5,6,4,1,7,2]
[7,6,1,8,4,5,3,2]=>[6,3,5,7,1,8,4,2]
[8,6,1,7,4,5,3,2]=>[6,3,5,8,1,7,4,2]
[7,2,8,6,4,5,3,1]=>[3,5,7,6,4,8,1,2]
[8,1,7,6,4,5,3,2]=>[8,3,5,6,4,7,1,2]
[7,1,8,6,4,5,3,2]=>[7,3,5,6,4,8,1,2]
[1,6,2,5,4,3,7,8]=>[1,6,4,5,2,3,7,8]
[1,6,2,7,4,5,3,8]=>[1,6,5,7,4,2,3,8]
[1,7,2,6,4,5,3,8]=>[1,7,5,6,4,2,3,8]
[1,7,2,8,4,3,6,5]=>[1,7,4,8,6,3,2,5]
[1,8,2,6,4,3,5,7]=>[1,8,4,6,3,2,5,7]
[1,7,2,6,4,3,5,8]=>[1,7,4,6,3,2,5,8]
[1,6,2,7,4,3,5,8]=>[1,6,4,7,3,2,5,8]
[1,7,2,5,4,6,3,8]=>[1,7,6,5,2,4,3,8]
[1,8,2,5,4,6,3,7]=>[1,8,6,5,2,4,3,7]
[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]
[8,1,2,3,7,6,4,5]=>[8,1,2,6,4,7,3,5]
[6,5,7,2,3,1,8,4]=>[3,7,2,8,6,5,1,4]
[6,5,7,2,8,3,4,1]=>[4,7,8,3,6,5,2,1]
[6,5,7,2,8,1,4,3]=>[8,7,4,1,6,5,2,3]
[6,2,7,5,8,1,4,3]=>[8,6,4,1,7,2,5,3]
[6,7,2,5,8,1,4,3]=>[8,7,4,1,2,6,5,3]
[6,7,3,5,8,1,4,2]=>[8,4,7,1,3,6,5,2]
[7,3,6,8,2,4,1,5]=>[4,8,7,2,1,3,6,5]
[6,7,3,5,8,2,4,1]=>[4,8,7,2,3,6,5,1]
[6,3,7,2,4,1,8,5]=>[4,7,6,2,8,3,1,5]
[6,3,7,5,8,1,4,2]=>[8,4,6,1,7,3,5,2]
[6,5,7,3,8,1,4,2]=>[8,4,7,1,6,5,3,2]
[6,3,7,4,8,2,5,1]=>[5,8,6,7,2,3,4,1]
[6,3,7,4,8,1,5,2]=>[8,5,6,7,1,3,4,2]
[6,2,7,4,8,3,5,1]=>[5,6,8,7,3,2,4,1]
[6,2,7,4,8,1,5,3]=>[8,6,5,7,1,2,4,3]
[8,7,6,4,2,5,3,1]=>[3,5,4,6,1,7,8,2]
[8,7,4,6,2,3,5,1]=>[5,6,2,7,3,4,8,1]
[6,8,4,5,7,3,2,1]=>[2,3,7,8,4,6,5,1]
[4,8,7,1,6,3,5,2]=>[7,5,6,4,3,1,8,2]
[5,6,4,2,1,7,8,3]=>[2,4,6,8,5,3,7,1]
[6,7,5,1,4,3,8,2]=>[5,7,4,2,8,6,3,1]
[6,8,5,1,4,3,7,2]=>[5,8,4,2,7,6,3,1]
[5,6,4,2,1,8,7,3]=>[2,4,6,7,5,3,8,1]
[7,8,5,1,4,3,6,2]=>[5,8,4,2,6,3,7,1]
[2,7,6,8,3,5,1,4]=>[5,2,8,1,3,7,6,4]
[6,1,7,8,4,3,5,2]=>[6,5,4,8,3,1,7,2]
[2,7,8,6,4,5,3,1]=>[3,2,5,6,4,8,7,1]
[4,8,5,6,2,3,1,7]=>[3,6,2,4,8,5,1,7]
[2,6,8,1,3,5,4,7]=>[8,2,1,5,3,6,4,7]
[5,2,1,3,6,8,4,7]=>[2,5,1,8,3,6,4,7]
[5,2,3,1,8,7,4,6]=>[3,5,2,7,1,4,8,6]
[7,2,1,5,3,8,6,4]=>[2,7,5,6,1,8,3,4]
[3,2,7,1,6,8,5,4]=>[7,3,2,5,8,1,6,4]
[5,8,2,7,6,1,3,4]=>[6,7,2,3,5,8,1,4]
[3,6,8,7,4,5,2,1]=>[2,5,3,7,4,6,8,1]
[8,6,7,1,3,5,2,4]=>[7,5,1,2,3,8,6,4]
[5,2,1,3,6,7,4,8]=>[2,5,1,7,3,6,4,8]
[7,2,1,8,6,3,5,4]=>[2,7,6,5,3,8,1,4]
[3,2,4,8,1,7,6,5]=>[8,3,2,4,6,7,1,5]
[6,2,7,1,4,8,3,5]=>[7,6,8,1,3,2,4,5]
[4,3,6,8,7,2,1,5]=>[2,7,4,3,1,6,8,5]
[4,2,3,1,7,5,6,8]=>[3,4,2,1,7,5,6,8]
[5,1,8,7,3,4,2,6]=>[5,4,7,3,1,2,8,6]
[6,2,8,1,4,7,3,5]=>[8,6,7,1,3,2,4,5]
[8,2,3,6,7,1,4,5]=>[7,8,2,1,4,3,6,5]
[8,2,3,1,4,7,5,6]=>[3,8,2,1,7,5,4,6]
[4,2,3,1,5,8,6,7]=>[3,4,2,1,5,8,6,7]
[2,4,8,7,5,3,1,6]=>[3,2,5,4,7,1,8,6]
[2,6,8,7,5,3,4,1]=>[4,2,5,3,7,6,8,1]
[2,6,5,1,4,3,8,7]=>[5,2,4,1,6,3,8,7]
[6,5,1,2,4,3,8,7]=>[5,1,4,2,6,3,8,7]
[4,6,5,3,1,2,8,7]=>[3,1,5,4,6,2,8,7]
[4,8,7,5,3,1,2,6]=>[3,1,5,4,7,2,8,6]
[4,6,8,7,5,3,1,2]=>[3,1,5,4,7,6,8,2]
[6,8,7,5,3,1,4,2]=>[3,5,4,2,7,6,8,1]
[8,7,5,6,3,1,4,2]=>[3,6,4,2,7,5,8,1]
[8,7,3,4,6,5,1,2]=>[5,1,6,2,7,4,8,3]
[2,1,4,8,7,3,6,5]=>[2,1,7,4,6,3,8,5]
[4,8,7,3,1,2,6,5]=>[3,1,7,4,6,2,8,5]
[8,7,3,4,1,2,6,5]=>[4,1,7,3,6,2,8,5]
[8,7,3,1,6,5,2,4]=>[3,7,5,1,6,2,8,4]
[8,7,3,2,6,5,1,4]=>[5,3,6,2,7,1,8,4]
[2,8,7,3,4,6,5,1]=>[5,2,6,1,7,4,8,3]
[2,8,7,3,6,5,1,4]=>[5,2,6,3,7,1,8,4]
[2,8,7,1,6,5,3,4]=>[7,2,5,3,6,1,8,4]
[8,7,1,2,6,5,3,4]=>[7,1,5,3,6,2,8,4]
[8,7,1,2,4,3,6,5]=>[7,1,4,2,6,3,8,5]
[2,1,8,7,3,4,6,5]=>[2,1,7,3,6,4,8,5]
[8,7,5,1,2,4,3,6]=>[5,1,4,2,7,3,8,6]
[2,8,7,1,4,3,6,5]=>[7,2,4,1,6,3,8,5]
[2,8,7,3,4,1,6,5]=>[4,2,7,3,6,1,8,5]
[2,8,7,5,6,3,4,1]=>[4,2,6,3,7,5,8,1]
[2,4,8,7,3,1,6,5]=>[3,2,7,4,6,1,8,5]
[2,8,7,3,1,4,6,5]=>[3,2,7,1,6,4,8,5]
[2,4,3,1,8,7,5,6]=>[3,2,4,1,7,5,8,6]
[4,3,1,2,6,8,7,5]=>[3,1,4,2,7,6,8,5]
[2,8,7,5,6,3,1,4]=>[3,2,6,1,7,5,8,4]
[2,8,7,5,3,1,6,4]=>[3,2,5,7,6,4,8,1]
[2,8,7,5,3,6,4,1]=>[4,2,6,5,7,1,8,3]
[2,8,7,5,6,1,4,3]=>[6,2,4,1,7,5,8,3]
[2,6,8,7,5,1,4,3]=>[5,2,4,1,7,6,8,3]
[6,8,7,5,1,2,4,3]=>[5,1,4,2,7,6,8,3]
[8,7,5,6,1,2,4,3]=>[6,1,4,2,7,5,8,3]
[8,7,1,2,4,6,5,3]=>[7,1,5,2,6,4,8,3]
[2,4,8,7,3,6,5,1]=>[5,2,6,4,7,1,8,3]
[8,7,2,4,3,6,5,1]=>[5,6,4,1,7,3,8,2]
[4,8,7,1,2,6,5,3]=>[7,1,5,4,6,2,8,3]
[8,7,5,3,1,2,6,4]=>[3,1,5,7,6,4,8,2]
[8,7,5,3,6,4,1,2]=>[4,1,6,5,7,2,8,3]
[8,7,1,4,3,6,5,2]=>[7,5,4,1,6,3,8,2]
[8,7,3,4,1,6,5,2]=>[4,5,6,2,7,1,8,3]
[7,1,2,3,5,4,6,8]=>[7,1,2,5,3,4,6,8]
[7,1,2,6,4,5,3,8]=>[7,1,5,6,4,2,3,8]
[7,1,2,4,3,5,6,8]=>[7,1,4,2,3,5,6,8]
[4,7,3,6,5,1,2,8]=>[5,1,6,4,7,2,3,8]
[5,2,6,3,7,1,4,8]=>[7,5,6,1,2,3,4,8]
[6,5,4,1,3,8,7,2]=>[4,5,1,6,7,3,8,2]
[7,5,4,2,8,3,1,6]=>[3,8,4,5,7,2,1,6]
[2,5,8,6,1,4,3,7]=>[6,2,4,1,5,8,3,7]
[8,3,6,1,5,2,4,7]=>[6,5,8,2,1,3,4,7]
[3,1,6,8,5,7,2,4]=>[3,7,1,2,8,6,5,4]
[4,6,1,8,2,5,7,3]=>[6,8,7,4,2,1,5,3]
[2,5,6,1,8,4,7,3]=>[6,2,7,8,5,1,4,3]
[2,6,5,1,8,4,7,3]=>[5,2,6,7,8,3,1,4]
[7,5,4,1,2,8,6,3]=>[4,1,5,7,6,8,2,3]
[5,7,2,1,8,4,6,3]=>[2,7,6,8,5,4,1,3]
[8,4,2,7,1,5,3,6]=>[7,4,8,5,1,2,3,6]
[7,2,8,6,4,3,1,5]=>[3,4,6,8,2,7,1,5]
[6,3,8,7,4,2,1,5]=>[2,4,7,6,3,1,8,5]
[7,6,3,2,8,4,1,5]=>[4,3,8,6,2,7,1,5]
[7,2,8,5,3,1,4,6]=>[3,5,8,1,7,4,2,6]
[4,7,2,8,3,1,5,6]=>[3,8,7,4,2,5,1,6]
[8,6,1,3,2,4,5,7]=>[6,3,1,2,4,8,5,7]
[5,8,3,7,4,2,1,6]=>[2,4,7,8,5,3,1,6]
[4,1,7,3,5,8,6,2]=>[4,6,8,1,2,7,5,3]
[8,4,7,3,5,2,1,6]=>[2,5,7,8,3,1,4,6]
[5,4,8,1,3,2,6,7]=>[8,3,1,5,4,2,6,7]
[4,5,8,2,1,3,6,7]=>[2,8,1,4,5,3,6,7]
[8,1,3,5,2,4,6,7]=>[8,5,1,2,3,4,6,7]
[1,8,3,5,7,2,4,6]=>[1,7,8,2,3,4,5,6]
[8,1,4,7,3,2,6,5]=>[8,3,7,1,6,2,4,5]
[5,8,1,3,2,7,6,4]=>[8,3,1,6,5,7,2,4]
[5,3,7,1,2,8,6,4]=>[7,1,5,6,3,8,2,4]
[6,5,1,3,8,2,7,4]=>[5,6,2,8,7,3,4,1]
[1,7,3,8,6,2,4,5]=>[1,6,8,3,4,7,2,5]
[8,6,2,1,3,7,5,4]=>[2,6,1,5,8,7,4,3]
[8,1,4,2,7,6,3,5]=>[8,4,6,1,3,7,2,5]
[1,8,7,4,6,2,5,3]=>[1,6,5,7,2,4,8,3]
[1,8,5,7,2,6,4,3]=>[1,7,4,6,8,2,5,3]
[1,5,7,3,6,8,2,4]=>[1,8,7,2,5,3,6,4]
[8,4,6,2,5,7,1,3]=>[7,6,1,8,2,4,5,3]
[1,3,4,7,6,8,2,5]=>[1,8,3,4,2,7,6,5]
[8,1,3,6,7,4,2,5]=>[8,4,1,7,2,3,6,5]
[1,2,4,7,8,5,3,6]=>[1,2,5,4,8,3,7,6]
[3,1,4,7,6,8,2,5]=>[3,8,1,4,2,7,6,5]
[4,1,3,7,6,8,2,5]=>[4,8,1,3,2,7,6,5]
[5,1,7,3,6,8,2,4]=>[5,8,7,2,1,3,6,4]
[6,7,8,2,4,5,1,3]=>[5,8,1,2,4,6,7,3]
[5,8,6,2,4,7,1,3]=>[7,6,1,2,5,8,4,3]
[3,8,2,6,5,7,1,4]=>[7,8,3,1,6,2,5,4]
[2,8,3,6,7,4,1,5]=>[4,2,7,8,3,1,6,5]
[8,7,2,5,6,3,1,4]=>[3,6,7,2,1,5,8,4]
[8,7,1,6,4,3,2,5]=>[7,3,4,6,2,1,8,5]
[1,8,2,7,5,4,3,6]=>[1,8,4,5,7,3,2,6]
[3,8,1,7,5,4,2,6]=>[8,4,3,5,7,2,1,6]
[5,8,6,1,7,3,2,4]=>[6,3,8,1,5,7,2,4]
[6,7,1,2,8,4,3,5]=>[7,1,4,8,3,6,2,5]
[2,1,3,8,6,5,4,7]=>[2,1,3,5,6,8,4,7]
[8,2,1,7,5,4,3,6]=>[2,8,4,5,7,3,1,6]
[1,3,2,8,6,5,4,7]=>[1,3,2,5,6,8,4,7]
[3,4,1,7,6,8,2,5]=>[4,8,3,1,2,7,6,5]
[2,5,7,1,8,4,3,6]=>[7,2,4,8,5,3,1,6]
[3,5,7,1,6,8,2,4]=>[7,8,3,2,5,1,6,4]
[4,5,7,6,1,8,2,3]=>[6,7,1,4,5,8,2,3]
[5,4,7,6,8,3,1,2]=>[3,1,8,5,4,7,6,2]
[1,5,7,8,6,3,2,4]=>[1,3,6,2,5,8,7,4]
[8,4,6,7,5,2,1,3]=>[2,5,1,7,8,3,6,4]
[8,3,7,5,6,2,1,4]=>[2,6,8,1,7,5,3,4]
[1,4,8,6,7,3,2,5]=>[1,3,7,4,2,8,6,5]
[2,4,8,6,7,3,1,5]=>[3,2,7,4,1,8,6,5]
[5,2,7,8,6,3,1,4]=>[3,6,5,2,1,8,7,4]
[2,3,8,7,5,4,1,6]=>[4,2,3,5,7,1,8,6]
[1,3,8,7,5,4,2,6]=>[1,4,3,5,7,2,8,6]
[8,2,7,6,4,3,1,5]=>[3,4,6,7,2,8,1,5]
[8,1,7,6,4,3,2,5]=>[8,3,4,6,2,7,1,5]
[4,1,8,6,7,3,2,5]=>[4,3,7,1,2,8,6,5]
[4,8,7,5,6,2,1,3]=>[2,6,1,4,7,5,8,3]
[5,6,8,1,7,4,3,2]=>[8,3,4,7,5,6,1,2]
[4,1,8,7,3,6,5,2]=>[4,5,6,1,7,2,8,3]
[5,6,8,4,1,7,3,2]=>[4,3,8,7,5,6,2,1]
[4,5,8,7,3,1,6,2]=>[3,7,6,4,5,2,8,1]
[3,1,8,4,7,6,5,2]=>[3,5,1,6,7,8,4,2]
[1,5,8,4,3,7,6,2]=>[1,6,4,7,5,8,2,3]
[8,1,7,2,5,6,4,3]=>[8,7,4,6,2,5,1,3]
[8,1,3,5,2,7,6,4]=>[8,5,1,6,3,7,2,4]
[2,7,1,5,4,8,6,3]=>[7,2,6,5,1,8,4,3]
[8,6,2,4,3,7,5,1]=>[5,7,4,1,6,8,3,2]
[2,4,1,6,7,5,8,3]=>[4,2,8,1,7,6,5,3]
[8,1,4,5,6,3,7,2]=>[8,7,6,1,4,5,3,2]
[8,1,4,5,6,2,7,3]=>[8,6,7,1,4,5,2,3]
[8,1,4,7,6,2,5,3]=>[8,6,5,1,2,7,4,3]
[2,5,1,7,8,6,4,3]=>[5,2,4,6,1,8,7,3]
[3,5,6,2,8,7,4,1]=>[4,7,3,6,5,1,8,2]
[2,4,5,1,7,6,3,8]=>[5,2,6,4,1,7,3,8]
[7,3,1,5,6,4,2,8]=>[3,7,4,6,2,5,1,8]
[8,3,2,5,6,7,1,4]=>[7,3,8,1,2,5,6,4]
[8,4,5,3,7,6,2,1]=>[2,6,5,7,1,8,3,4]
[3,4,5,6,2,8,1,7]=>[8,6,3,4,5,2,1,7]
[3,7,4,2,8,5,1,6]=>[5,4,3,8,7,2,1,6]
[7,3,4,1,6,8,2,5]=>[4,8,7,3,2,1,6,5]
[2,6,3,1,4,7,5,8]=>[3,2,6,1,7,4,5,8]
[7,2,1,6,3,4,8,5]=>[2,7,6,3,8,1,4,5]
[7,3,4,1,6,5,8,2]=>[4,8,7,3,6,1,5,2]
[3,7,4,2,5,8,6,1]=>[6,4,3,8,1,7,5,2]
[2,3,5,1,4,8,7,6]=>[5,2,3,1,4,7,8,6]
[2,7,1,3,6,8,5,4]=>[7,2,1,5,8,3,6,4]
[2,7,1,3,8,4,6,5]=>[7,2,1,8,6,4,3,5]
[3,8,7,1,6,2,5,4]=>[7,6,3,5,2,1,8,4]
[3,8,7,1,4,5,2,6]=>[7,5,3,1,4,2,8,6]
[3,7,4,2,1,8,6,5]=>[2,4,3,7,6,8,1,5]
[4,8,5,7,2,6,3,1]=>[3,6,7,4,8,1,5,2]
[8,4,5,7,3,2,6,1]=>[6,3,7,8,4,2,5,1]
[8,3,7,2,4,1,5,6]=>[4,7,8,2,1,5,3,6]
[8,6,7,2,1,4,3,5]=>[2,7,4,1,3,8,6,5]
[8,3,7,5,1,2,6,4]=>[5,1,7,8,6,3,4,2]
[7,3,4,6,2,1,5,8]=>[2,6,7,3,1,4,5,8]
[3,7,4,6,1,5,2,8]=>[6,5,3,7,1,4,2,8]
[3,4,7,6,1,2,8,5]=>[6,1,3,4,7,8,5,2]
[4,5,8,7,6,1,3,2]=>[6,3,1,4,5,7,8,2]
[8,3,6,7,2,5,1,4]=>[5,7,8,1,2,3,6,4]
[8,5,7,2,6,4,1,3]=>[4,6,2,7,8,1,5,3]
[8,6,3,7,5,1,4,2]=>[5,4,7,3,6,8,1,2]
[7,3,8,2,5,6,1,4]=>[6,8,7,1,2,5,3,4]
[8,7,3,5,6,1,4,2]=>[6,4,7,1,3,5,8,2]
[7,6,3,8,1,4,5,2]=>[8,5,6,1,4,7,3,2]
[8,5,2,7,6,1,3,4]=>[6,5,2,3,7,8,1,4]
[8,7,3,1,4,5,2,6]=>[3,7,5,2,4,1,8,6]
[6,4,7,2,1,5,8,3]=>[2,7,8,6,1,4,5,3]
[8,4,2,5,1,6,7,3]=>[5,4,8,7,3,1,6,2]
[8,5,3,1,6,4,7,2]=>[3,5,8,7,6,1,2,4]
[8,7,3,1,4,5,6,2]=>[3,7,6,2,4,5,8,1]
[8,7,4,1,5,6,2,3]=>[4,7,1,6,2,5,8,3]
[8,6,4,1,7,5,2,3]=>[4,6,2,5,8,7,1,3]
[8,6,3,1,7,4,5,2]=>[3,6,5,8,2,7,4,1]
[8,5,3,1,6,7,4,2]=>[3,5,4,8,7,1,6,2]
[8,5,3,7,1,6,4,2]=>[7,4,6,5,8,1,2,3]
[7,6,3,8,1,4,2,5]=>[8,4,6,1,2,7,3,5]
[7,4,8,2,6,1,5,3]=>[6,8,5,7,1,2,4,3]
[6,4,7,3,1,5,2,8]=>[3,7,5,6,2,4,1,8]
[7,4,5,3,1,2,8,6]=>[3,1,5,7,4,8,2,6]
[8,5,3,6,1,2,7,4]=>[6,1,5,8,7,4,2,3]
[5,6,3,2,1,7,4,8]=>[2,3,6,7,5,1,4,8]
[8,5,3,1,6,4,2,7]=>[3,5,4,8,6,1,2,7]
[8,7,4,1,5,2,3,6]=>[4,7,1,5,2,3,8,6]
[8,7,5,1,2,6,3,4]=>[5,1,7,2,6,3,8,4]
[8,6,4,1,2,7,5,3]=>[4,1,6,5,8,7,2,3]
[8,7,4,1,2,5,3,6]=>[4,1,7,5,3,2,8,6]
[8,7,5,1,2,3,6,4]=>[5,1,2,7,6,4,8,3]
[6,5,3,7,4,2,1,8]=>[2,4,7,5,6,1,3,8]
[1,6,3,8,4,2,5,7]=>[1,4,8,6,3,2,5,7]
[4,7,2,5,3,6,1,8]=>[6,7,5,4,2,3,1,8]
[1,8,3,4,5,2,6,7]=>[1,5,8,3,4,2,6,7]
[1,8,6,4,2,5,3,7]=>[1,4,6,5,3,8,2,7]
[8,2,6,4,1,5,7,3]=>[4,6,8,7,2,3,5,1]
[7,8,3,4,6,1,5,2]=>[6,5,8,3,1,4,7,2]
[4,8,7,5,3,1,6,2]=>[3,5,7,4,6,1,8,2]
[6,1,4,8,3,2,5,7]=>[6,3,8,1,2,4,5,7]
[4,1,8,5,3,2,6,7]=>[4,3,5,1,8,2,6,7]
[8,1,6,4,2,7,3,5]=>[8,4,6,7,2,1,3,5]
[3,1,7,4,2,5,8,6]=>[3,4,1,7,2,8,5,6]
[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]
[6,1,8,5,2,4,3,7]=>[6,5,4,2,8,1,3,7]
[6,8,2,5,1,4,7,3]=>[5,8,7,1,2,6,4,3]
[4,5,2,1,6,8,7,3]=>[2,5,7,4,1,6,8,3]
[7,2,8,6,5,1,4,3]=>[5,6,4,1,8,7,2,3]
[7,4,8,6,1,5,3,2]=>[6,3,5,8,4,7,1,2]
[8,7,2,6,1,4,5,3]=>[6,7,5,1,4,2,8,3]
[1,7,8,6,2,4,3,5]=>[1,6,4,2,3,8,7,5]
[7,6,3,1,2,5,4,8]=>[3,1,6,5,2,7,4,8]
[8,5,3,1,2,4,7,6]=>[3,1,5,2,8,7,4,6]
[8,2,1,6,5,3,4,7]=>[2,8,5,3,6,1,4,7]
[3,8,1,5,6,2,4,7]=>[8,6,3,2,1,5,4,7]
[6,8,4,1,5,2,3,7]=>[4,8,1,5,2,6,3,7]
[3,2,8,1,6,4,5,7]=>[8,3,2,6,4,1,5,7]
[5,2,1,3,7,6,4,8]=>[2,5,1,6,3,7,4,8]
[5,4,1,2,8,3,7,6]=>[4,1,5,8,3,7,2,6]
[5,8,4,1,2,3,7,6]=>[4,1,2,8,5,7,3,6]
[7,1,2,5,3,4,6,8]=>[7,1,5,3,2,4,6,8]
[1,6,7,3,2,8,4,5]=>[1,3,7,8,4,6,2,5]
[1,8,6,3,2,7,4,5]=>[1,3,6,8,2,7,4,5]
[1,5,3,7,2,8,4,6]=>[1,7,5,8,3,4,2,6]
[1,5,7,3,8,2,4,6]=>[1,8,7,2,5,4,3,6]
[1,4,6,2,8,5,3,7]=>[1,6,5,4,8,2,3,7]
[1,8,5,2,6,4,3,7]=>[1,5,4,8,6,3,2,7]
[1,8,6,2,7,4,5,3]=>[1,6,5,8,2,7,4,3]
[1,5,6,2,8,4,3,7]=>[1,6,4,8,5,2,3,7]
[3,6,1,7,4,8,5,2]=>[6,5,3,8,7,1,2,4]
[2,5,8,6,3,1,7,4]=>[3,2,6,8,5,7,4,1]
[2,4,6,3,1,7,5,8]=>[3,2,6,4,7,1,5,8]
[2,3,6,1,8,7,4,5]=>[6,2,3,7,4,1,8,5]
[3,4,8,6,5,7,2,1]=>[2,7,3,4,6,8,5,1]
[3,4,5,8,1,7,6,2]=>[8,6,3,4,5,7,1,2]
[1,2,4,7,3,6,5,8]=>[1,2,7,4,6,3,5,8]
[1,2,5,7,4,3,6,8]=>[1,2,4,7,5,3,6,8]
[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3]
[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]
[3,5,8,6,1,7,2,4]=>[6,8,3,1,5,7,2,4]
[2,3,6,8,1,7,4,5]=>[8,2,3,7,4,6,1,5]
[2,3,7,1,8,6,4,5]=>[7,2,3,6,4,8,1,5]
[1,3,6,5,7,2,8,4]=>[1,7,3,8,6,5,2,4]
[1,4,3,6,7,8,2,5]=>[1,8,4,3,2,6,7,5]
[2,6,1,7,8,5,3,4]=>[6,2,5,3,8,1,7,4]
[2,4,8,5,6,7,1,3]=>[7,2,1,4,8,5,6,3]
[1,4,8,5,6,7,3,2]=>[1,3,7,4,8,5,6,2]
[1,7,4,8,5,6,3,2]=>[1,3,6,7,8,5,4,2]
[3,5,8,6,2,7,4,1]=>[4,7,3,6,5,8,1,2]
[7,8,2,5,1,6,4,3]=>[5,8,4,6,2,1,7,3]
[7,8,1,4,6,3,5,2]=>[8,5,6,1,3,4,7,2]
[2,4,8,6,7,1,5,3]=>[7,2,5,4,1,8,6,3]
[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]
[1,2,5,7,4,6,3,8]=>[1,2,6,7,5,4,3,8]
[1,2,4,7,6,3,5,8]=>[1,2,6,4,3,7,5,8]
[1,3,8,6,7,5,4,2]=>[1,4,3,5,7,8,6,2]
[3,2,1,6,8,4,7,5]=>[2,3,1,8,7,6,4,5]
[4,8,3,1,6,5,7,2]=>[3,8,7,4,6,2,5,1]
[6,2,5,8,3,1,7,4]=>[3,8,6,7,1,5,2,4]
[1,6,8,5,4,2,7,3]=>[1,4,5,8,7,6,2,3]
[6,5,8,4,2,1,7,3]=>[2,4,8,7,6,5,3,1]
[1,7,8,6,5,4,2,3]=>[1,4,2,5,6,8,7,3]
[6,8,7,4,5,1,3,2]=>[5,3,1,7,4,6,8,2]
[6,1,3,5,4,2,8,7]=>[6,4,1,5,3,2,8,7]
[3,6,4,2,5,1,8,7]=>[5,4,3,6,2,1,8,7]
[2,8,5,7,6,1,4,3]=>[6,2,4,1,7,8,3,5]
[2,1,5,8,6,4,7,3]=>[2,1,7,6,5,8,4,3]
[4,2,8,5,6,3,7,1]=>[7,4,6,2,8,5,3,1]
[5,3,7,2,6,8,4,1]=>[4,8,7,5,1,3,6,2]
[8,7,4,6,1,3,5,2]=>[6,5,1,7,3,4,8,2]
[5,7,2,3,4,6,8,1]=>[8,7,2,3,5,4,6,1]
[1,3,8,2,7,5,6,4]=>[1,8,3,6,7,5,2,4]
[1,8,7,3,2,5,6,4]=>[1,3,7,6,2,5,8,4]
[5,7,1,2,3,8,6,4]=>[7,1,2,6,5,8,3,4]
[4,7,6,2,1,8,5,3]=>[2,6,5,4,7,8,3,1]
[4,2,7,1,6,8,5,3]=>[7,4,5,2,8,1,6,3]
[4,2,1,7,6,8,5,3]=>[2,4,5,1,8,7,6,3]
[4,1,2,7,5,8,6,3]=>[4,1,6,2,8,7,3,5]
[6,3,4,7,8,1,5,2]=>[8,5,6,3,1,4,7,2]
[6,7,8,3,4,1,5,2]=>[4,5,8,3,1,6,7,2]
[1,7,8,4,2,5,6,3]=>[1,4,8,6,3,5,7,2]
[1,3,2,8,7,5,6,4]=>[1,3,2,6,7,5,8,4]
[3,1,2,8,5,7,6,4]=>[3,1,2,6,7,8,4,5]
[7,6,8,4,2,1,5,3]=>[2,4,8,5,3,7,6,1]
[7,1,8,5,2,3,6,4]=>[7,5,2,8,6,4,1,3]
[6,8,7,4,3,1,5,2]=>[3,4,7,5,1,6,8,2]
[7,8,6,2,4,1,5,3]=>[4,6,5,2,1,8,7,3]
[3,6,7,4,2,5,8,1]=>[8,4,3,7,2,6,5,1]
[7,2,8,4,6,1,5,3]=>[6,7,5,8,1,4,2,3]
[2,8,6,3,1,7,5,4]=>[3,2,6,5,8,7,4,1]
[3,6,4,7,2,5,8,1]=>[8,7,3,6,2,4,5,1]
[3,4,6,2,7,5,8,1]=>[8,6,3,4,7,2,5,1]
[2,4,7,1,8,6,5,3]=>[7,2,5,4,6,8,1,3]
[7,4,2,6,8,1,5,3]=>[8,4,7,5,1,3,6,2]
[7,4,6,2,8,1,5,3]=>[8,6,5,7,1,4,2,3]
[7,1,5,8,2,3,6,4]=>[7,8,2,6,1,3,5,4]
[7,6,4,8,2,1,5,3]=>[2,8,5,6,1,7,4,3]
[1,7,4,8,2,5,6,3]=>[1,8,6,7,2,5,4,3]
[7,5,6,1,2,4,3,8]=>[6,1,4,2,7,5,3,8]
[6,1,8,4,2,3,5,7]=>[6,4,2,8,3,1,5,7]
[7,1,6,3,8,5,4,2]=>[7,4,5,8,6,1,3,2]
[7,3,6,2,1,8,5,4]=>[2,6,7,5,8,3,1,4]
[7,4,6,2,1,8,5,3]=>[2,6,5,8,7,3,1,4]
[7,2,4,3,1,6,8,5]=>[3,4,7,1,8,2,6,5]
[7,2,3,1,6,4,8,5]=>[3,7,2,6,8,1,4,5]
[6,1,8,2,5,4,3,7]=>[6,8,4,5,2,1,3,7]
[1,5,8,7,3,4,6,2]=>[1,6,7,3,5,4,8,2]
[6,5,2,3,8,1,4,7]=>[8,5,2,1,6,3,4,7]
[2,1,8,6,3,4,5,7]=>[2,1,6,3,4,8,5,7]
[1,8,6,4,2,5,7,3]=>[1,4,6,8,2,7,5,3]
[5,6,2,1,8,4,7,3]=>[2,6,7,8,5,1,4,3]
[2,4,1,8,7,5,3,6]=>[4,2,5,1,7,3,8,6]
[2,8,1,6,5,7,3,4]=>[8,2,7,3,6,1,5,4]
[2,4,8,1,7,5,6,3]=>[8,2,6,4,7,5,1,3]
[5,2,1,4,8,3,7,6]=>[2,5,8,1,4,7,3,6]
[5,1,6,4,3,8,7,2]=>[5,7,4,6,1,3,8,2]
[6,5,4,7,3,1,8,2]=>[3,7,8,5,6,4,2,1]
[6,2,3,1,4,8,5,7]=>[3,6,2,1,8,4,5,7]
[5,2,1,8,4,7,6,3]=>[2,5,6,7,1,8,3,4]
[5,4,6,8,1,3,7,2]=>[8,7,1,5,4,6,3,2]
[6,7,5,1,3,4,8,2]=>[5,7,2,3,8,6,4,1]
[6,7,5,3,2,1,8,4]=>[2,3,5,7,8,6,4,1]
[3,7,1,6,4,5,8,2]=>[7,8,3,6,4,1,5,2]
[3,1,6,7,2,5,4,8]=>[3,7,1,5,2,6,4,8]
[3,5,2,1,4,6,7,8]=>[2,5,3,1,4,6,7,8]
[4,8,2,5,3,1,7,6]=>[3,5,8,4,1,7,2,6]
[2,1,3,7,6,4,5,8]=>[2,1,3,6,4,7,5,8]
[2,8,1,6,7,5,4,3]=>[8,2,4,5,7,1,6,3]
[1,3,8,7,5,4,6,2]=>[1,6,3,5,7,4,8,2]
[4,7,2,6,1,5,8,3]=>[6,7,8,4,1,2,5,3]
[4,7,8,6,3,1,5,2]=>[3,6,5,4,2,8,7,1]
[2,8,7,3,1,6,4,5]=>[3,2,7,6,4,1,8,5]
[5,3,8,4,6,7,1,2]=>[7,1,5,8,3,4,6,2]
[3,1,8,4,5,2,6,7]=>[3,5,1,8,4,2,6,7]
[2,3,8,6,4,7,1,5]=>[7,2,3,6,1,8,4,5]
[6,3,7,8,4,5,1,2]=>[5,1,6,8,4,3,7,2]
[6,7,3,4,8,5,1,2]=>[5,1,8,2,7,6,4,3]
[7,4,1,8,2,5,6,3]=>[4,7,8,6,3,5,2,1]
[3,1,7,2,5,6,8,4]=>[3,7,1,8,2,5,6,4]
[7,8,3,1,6,2,4,5]=>[3,8,6,1,4,2,7,5]
[2,3,7,4,5,1,8,6]=>[5,2,3,7,4,8,1,6]
[2,3,7,1,5,6,8,4]=>[7,2,3,8,1,5,6,4]
[7,3,4,8,1,5,6,2]=>[8,6,7,3,1,5,4,2]
[5,7,2,6,8,1,4,3]=>[8,7,4,1,5,2,6,3]
[4,1,5,7,3,2,8,6]=>[4,3,7,1,5,8,2,6]
[5,8,6,2,7,3,1,4]=>[3,7,6,2,5,8,1,4]
[6,5,1,7,8,3,4,2]=>[5,4,6,1,8,3,7,2]
[6,4,1,7,2,8,5,3]=>[4,6,7,5,8,2,3,1]
[5,4,1,7,3,8,6,2]=>[4,5,6,8,2,7,3,1]
[7,3,1,6,2,8,5,4]=>[3,7,6,5,8,2,1,4]
[6,4,1,8,2,7,3,5]=>[4,6,8,7,1,2,3,5]
[4,8,2,5,3,1,6,7]=>[3,5,8,4,1,2,6,7]
[5,4,1,8,3,6,7,2]=>[4,5,7,8,2,1,6,3]
[5,1,3,4,8,2,6,7]=>[5,8,1,3,4,2,6,7]
[4,6,2,8,1,7,3,5]=>[8,6,7,4,3,2,1,5]
[7,2,3,6,1,8,5,4]=>[6,7,2,5,8,3,1,4]
[7,8,2,3,5,1,6,4]=>[5,8,2,6,3,1,7,4]
[7,8,4,5,1,2,6,3]=>[5,1,6,8,4,2,7,3]
[6,1,4,5,7,8,2,3]=>[6,8,2,1,4,5,7,3]
[6,3,4,7,1,8,5,2]=>[7,5,8,2,6,4,1,3]
[5,1,3,4,7,2,8,6]=>[5,7,1,3,4,8,2,6]
[7,8,5,1,3,4,6,2]=>[5,8,2,3,6,4,7,1]
[7,1,3,4,5,6,8,2]=>[7,8,1,3,4,5,6,2]
[1,2,4,6,8,7,3,5]=>[1,2,7,4,3,6,8,5]
[8,5,2,7,6,3,1,4]=>[3,6,5,1,7,8,2,4]
[1,8,3,5,6,2,7,4]=>[1,6,8,7,3,5,2,4]
[8,3,2,5,6,1,7,4]=>[6,3,8,7,2,5,1,4]
[4,2,5,1,6,8,7,3]=>[5,4,7,2,1,6,8,3]
[8,2,3,5,6,1,7,4]=>[6,8,2,7,3,5,1,4]
[7,1,2,6,8,3,5,4]=>[7,1,8,5,3,2,6,4]
[7,2,5,6,1,8,4,3]=>[6,7,4,8,2,5,1,3]
[5,4,2,7,8,6,1,3]=>[6,4,1,5,2,8,7,3]
[7,6,2,3,8,1,5,4]=>[8,6,2,5,1,7,3,4]
[4,7,6,8,1,2,5,3]=>[8,1,5,4,2,7,6,3]
[6,8,7,2,1,3,4,5]=>[2,7,1,3,4,6,8,5]
[7,8,6,1,3,4,2,5]=>[6,4,1,3,2,8,7,5]
[7,1,6,2,3,4,8,5]=>[7,6,2,3,8,1,4,5]
[7,6,2,1,3,4,8,5]=>[2,6,1,3,7,8,5,4]
[3,7,6,8,5,2,4,1]=>[4,5,3,2,8,7,6,1]
[3,8,5,4,7,6,2,1]=>[2,6,3,5,7,8,1,4]
[7,8,6,5,1,3,2,4]=>[5,3,1,2,6,8,7,4]
[1,7,8,5,2,6,3,4]=>[1,5,8,2,6,3,7,4]
[8,7,1,6,3,2,5,4]=>[7,3,6,5,2,1,8,4]
[7,1,8,6,3,2,5,4]=>[7,3,6,5,2,8,1,4]
[7,6,1,2,5,3,8,4]=>[6,1,5,7,4,8,3,2]
[7,6,2,5,8,1,4,3]=>[8,6,4,1,2,7,5,3]
[5,8,7,2,6,3,4,1]=>[4,7,6,3,5,2,8,1]
[1,7,6,8,4,2,5,3]=>[1,4,8,5,3,7,6,2]
[7,6,2,4,8,1,5,3]=>[8,6,5,2,1,7,4,3]
[1,5,7,3,8,6,2,4]=>[1,6,8,3,5,7,2,4]
[5,7,8,2,6,1,3,4]=>[6,8,1,3,5,2,7,4]
[3,7,5,6,2,8,4,1]=>[4,8,3,6,7,5,1,2]
[6,7,5,1,8,2,3,4]=>[5,7,1,3,8,6,2,4]
[6,1,7,3,2,4,8,5]=>[6,3,7,2,8,1,4,5]
[7,6,1,2,4,3,8,5]=>[6,1,4,2,7,8,5,3]
[6,7,3,1,8,2,5,4]=>[3,7,8,5,1,6,2,4]
[6,7,2,1,5,3,8,4]=>[2,7,5,8,1,6,3,4]
[6,7,2,3,1,4,8,5]=>[3,7,2,1,8,6,4,5]
[4,3,2,8,7,1,6,5]=>[7,3,4,2,6,1,8,5]
[4,8,3,2,7,1,6,5]=>[7,3,8,4,6,1,2,5]
[4,8,3,1,7,6,5,2]=>[3,8,5,4,6,7,2,1]
[5,3,8,7,1,6,4,2]=>[7,4,6,5,2,1,8,3]
[5,8,7,3,1,6,4,2]=>[3,7,4,6,5,2,8,1]
[5,3,8,2,1,7,6,4]=>[2,8,5,6,3,7,1,4]
[3,8,7,2,6,5,1,4]=>[5,6,3,2,7,1,8,4]
[7,4,1,8,6,5,3,2]=>[4,3,7,5,6,8,2,1]
[5,4,2,8,1,7,6,3]=>[8,4,5,6,3,7,1,2]
[5,8,4,2,1,7,6,3]=>[2,4,8,6,5,7,3,1]
[5,8,4,7,1,6,3,2]=>[7,3,6,8,5,1,4,2]
[5,4,8,3,1,7,6,2]=>[3,8,6,5,4,7,2,1]
[8,6,1,5,4,3,7,2]=>[6,8,4,5,2,7,3,1]
[6,1,8,5,4,3,7,2]=>[6,7,4,5,8,1,3,2]
[5,6,1,8,3,4,7,2]=>[6,7,8,3,5,1,4,2]
[6,5,1,7,3,4,8,2]=>[5,6,8,1,7,2,4,3]
[6,8,1,5,2,4,7,3]=>[8,5,7,2,1,6,4,3]
[5,1,6,8,2,4,7,3]=>[5,8,7,2,1,6,4,3]
[6,1,5,8,4,7,2,3]=>[6,7,2,8,1,5,4,3]
[8,5,6,1,4,7,2,3]=>[6,7,2,1,8,5,4,3]
[5,8,7,2,3,4,6,1]=>[6,7,2,3,5,4,8,1]
[7,2,5,6,1,4,8,3]=>[6,7,8,1,2,5,4,3]
[5,2,6,8,1,4,7,3]=>[8,5,7,1,2,6,4,3]
[6,7,4,2,5,8,1,3]=>[8,4,1,7,2,6,5,3]
[6,7,4,1,2,5,8,3]=>[4,1,7,8,3,6,5,2]
[1,6,8,5,2,4,7,3]=>[1,5,8,3,7,6,4,2]
[1,6,7,4,2,5,8,3]=>[1,4,7,8,3,6,5,2]
[3,6,7,5,8,1,2,4]=>[8,1,3,2,7,6,5,4]
[1,6,7,5,8,3,2,4]=>[1,3,8,2,7,6,5,4]
[1,6,8,5,7,4,2,3]=>[1,4,2,7,8,6,5,3]
[3,8,6,5,7,4,1,2]=>[4,1,3,7,6,8,5,2]
[2,6,7,5,8,3,1,4]=>[3,2,8,1,7,6,5,4]
[2,6,7,4,1,5,8,3]=>[4,2,7,8,3,6,5,1]
[6,7,4,1,5,8,2,3]=>[4,7,1,8,2,6,5,3]
[6,8,1,5,7,4,2,3]=>[8,4,2,7,1,6,5,3]
[3,8,1,6,5,7,4,2]=>[8,4,3,7,6,1,5,2]
[3,7,4,1,6,5,8,2]=>[4,7,3,8,6,2,5,1]
[5,2,8,7,3,6,4,1]=>[4,6,5,7,3,1,8,2]
[8,1,6,5,7,4,3,2]=>[8,3,4,7,6,1,5,2]
[6,8,2,1,5,7,4,3]=>[2,8,4,7,1,6,5,3]
[5,2,1,6,8,4,7,3]=>[2,5,7,8,1,6,4,3]
[7,3,1,4,8,6,5,2]=>[3,7,5,2,6,8,4,1]
[6,5,2,4,8,7,3,1]=>[3,7,5,1,6,4,8,2]
[6,5,8,7,4,2,3,1]=>[3,4,2,7,6,5,8,1]
[3,1,8,6,5,7,4,2]=>[3,4,1,7,6,8,5,2]
[6,8,5,7,4,2,1,3]=>[2,4,1,7,8,6,5,3]
[3,6,7,5,8,2,1,4]=>[2,8,3,1,7,6,5,4]
[1,8,6,5,7,4,3,2]=>[1,3,4,7,6,8,5,2]
[2,7,8,5,6,3,1,4]=>[3,2,6,1,8,5,7,4]
[4,7,8,5,6,3,1,2]=>[3,1,6,4,8,5,7,2]
[4,7,8,5,3,6,1,2]=>[6,1,5,4,8,3,7,2]
[2,7,8,5,3,4,6,1]=>[6,2,5,3,8,4,7,1]
[2,7,8,5,3,1,4,6]=>[3,2,5,1,8,4,7,6]
[4,7,5,3,8,1,2,6]=>[8,1,5,4,7,2,3,6]
[2,7,5,8,3,1,4,6]=>[3,2,8,1,7,4,5,6]
[2,7,5,8,3,4,6,1]=>[6,2,8,3,7,4,5,1]
[2,7,5,6,3,4,8,1]=>[8,2,6,3,7,5,4,1]
[2,7,5,6,3,1,4,8]=>[3,2,6,1,7,5,4,8]
[4,7,5,6,3,1,2,8]=>[3,1,6,4,7,5,2,8]
[4,7,5,3,6,1,2,8]=>[6,1,5,4,7,3,2,8]
[6,7,5,3,1,4,2,8]=>[3,5,4,2,7,6,1,8]
[4,7,5,3,1,6,2,8]=>[3,5,7,4,6,1,2,8]
[2,7,5,3,1,6,4,8]=>[3,2,5,7,6,4,1,8]
[2,7,5,3,6,1,4,8]=>[6,2,5,1,7,3,4,8]
[2,7,5,3,6,4,8,1]=>[8,2,5,7,6,4,3,1]
[2,7,5,3,8,4,6,1]=>[6,2,5,7,8,3,4,1]
[4,7,5,3,1,8,2,6]=>[3,5,7,4,8,2,1,6]
[6,7,5,3,1,8,2,4]=>[3,5,7,2,8,6,1,4]
[2,7,5,3,8,1,6,4]=>[8,2,5,7,6,1,4,3]
[2,7,5,3,8,6,1,4]=>[6,2,5,3,8,7,1,4]
[2,7,5,8,3,1,6,4]=>[3,2,8,6,7,1,5,4]
[4,7,5,3,8,1,6,2]=>[8,6,5,4,7,1,3,2]
[6,7,5,3,8,1,4,2]=>[8,4,5,1,7,6,3,2]
[8,7,5,3,6,1,4,2]=>[6,4,5,1,7,3,8,2]
[4,7,5,3,8,6,1,2]=>[6,1,5,4,8,7,2,3]
[2,7,5,8,6,3,1,4]=>[3,2,6,1,8,7,4,5]
[2,7,5,8,6,3,4,1]=>[4,2,6,3,8,7,1,5]
[2,7,5,6,8,3,4,1]=>[4,2,8,3,7,5,6,1]
[2,7,5,6,8,3,1,4]=>[3,2,8,1,7,5,6,4]
[4,7,5,3,6,8,1,2]=>[8,1,5,4,7,3,6,2]
[6,7,5,3,4,1,8,2]=>[4,8,5,3,7,6,1,2]
[4,7,5,3,6,1,8,2]=>[6,8,5,4,7,3,1,2]
[2,7,5,6,3,1,8,4]=>[3,2,6,8,7,5,1,4]
[2,7,5,6,3,8,4,1]=>[4,2,8,6,7,5,1,3]
[2,7,5,3,6,8,4,1]=>[4,2,8,5,7,1,6,3]
[2,7,5,3,6,8,1,4]=>[8,2,5,1,7,3,6,4]
[2,7,5,3,6,1,8,4]=>[6,2,5,7,8,4,1,3]
[2,7,5,3,1,6,8,4]=>[3,2,5,7,8,4,6,1]
[4,7,5,3,1,6,8,2]=>[3,5,7,4,8,1,6,2]
[6,7,5,3,1,4,8,2]=>[3,5,7,1,8,6,4,2]
[8,7,5,3,1,4,6,2]=>[3,5,7,1,6,4,8,2]
[2,7,5,3,1,4,8,6]=>[3,2,5,1,7,8,4,6]
[2,7,5,3,4,1,8,6]=>[4,2,5,3,7,8,1,6]
[2,7,5,3,4,8,1,6]=>[8,2,5,3,7,1,4,6]
[2,7,5,3,4,8,6,1]=>[6,2,5,1,8,7,4,3]
[2,7,5,3,4,6,8,1]=>[8,2,5,3,7,4,6,1]
[2,7,5,3,4,6,1,8]=>[6,2,5,3,7,4,1,8]
[2,7,5,3,4,1,6,8]=>[4,2,5,3,7,1,6,8]
[2,7,5,3,1,4,6,8]=>[3,2,5,1,7,4,6,8]
[4,7,5,3,1,2,6,8]=>[3,1,5,4,7,2,6,8]
[5,7,6,2,8,3,1,4]=>[3,8,6,2,5,7,1,4]
[5,1,6,3,2,4,8,7]=>[5,3,6,2,1,4,8,7]
[5,7,6,1,8,3,2,4]=>[6,3,7,1,5,8,2,4]
[3,8,7,1,2,5,4,6]=>[7,1,3,5,2,4,8,6]
[3,8,7,2,1,5,4,6]=>[2,7,3,5,1,4,8,6]
[3,7,5,2,1,4,8,6]=>[2,5,3,1,7,8,4,6]
[4,6,5,7,8,3,1,2]=>[3,1,8,4,6,5,7,2]
[5,7,6,3,8,2,1,4]=>[2,8,6,1,5,7,3,4]
[5,7,6,1,8,4,2,3]=>[6,4,1,7,5,8,2,3]
[5,8,6,1,7,4,2,3]=>[6,4,1,8,5,7,2,3]
[6,1,7,2,8,4,3,5]=>[6,7,4,8,3,1,2,5]
[4,8,5,6,7,3,1,2]=>[3,1,7,4,8,5,6,2]
[6,1,7,2,8,5,3,4]=>[6,7,5,3,8,1,2,4]
[3,7,6,2,8,5,1,4]=>[5,8,3,2,6,7,1,4]
[3,7,6,1,8,4,2,5]=>[6,4,3,7,1,8,2,5]
[2,6,7,1,8,4,3,5]=>[7,2,4,8,3,6,1,5]
[6,1,7,3,8,5,2,4]=>[6,5,8,3,7,1,2,4]
[7,1,8,3,2,5,4,6]=>[7,3,8,5,2,4,1,6]
[5,1,7,3,2,4,8,6]=>[5,3,7,2,1,8,4,6]
[2,7,8,3,1,5,4,6]=>[3,2,8,5,1,4,7,6]
[2,5,6,8,7,3,1,4]=>[3,2,7,1,5,6,8,4]
[4,8,5,6,7,2,1,3]=>[2,7,1,4,8,5,6,3]
[5,8,7,2,3,4,1,6]=>[4,7,2,3,5,1,8,6]
[5,8,6,2,7,4,1,3]=>[4,7,2,6,5,8,1,3]
[2,4,6,7,8,5,1,3]=>[5,2,1,4,8,6,7,3]
[2,4,6,7,8,3,1,5]=>[3,2,8,4,1,6,7,5]
[4,7,6,2,8,3,1,5]=>[3,8,6,4,2,7,1,5]
[4,7,6,2,8,5,1,3]=>[5,8,2,4,6,7,1,3]
[5,8,6,3,7,4,1,2]=>[4,1,7,6,5,8,2,3]
[5,8,7,3,2,4,1,6]=>[4,3,7,2,5,1,8,6]
[4,6,5,8,7,3,1,2]=>[3,1,7,4,6,5,8,2]
[5,8,6,3,7,2,1,4]=>[2,7,6,1,5,8,3,4]
[8,3,1,7,2,6,4,5]=>[3,8,7,6,4,1,2,5]
[4,5,1,2,8,7,3,6]=>[5,1,7,4,2,3,8,6]
[5,6,1,2,8,3,7,4]=>[6,1,8,7,5,2,3,4]
[5,8,7,1,6,2,4,3]=>[7,6,4,2,5,1,8,3]
[4,8,5,1,7,6,2,3]=>[5,8,1,4,6,7,2,3]
[8,4,5,1,7,6,2,3]=>[5,6,2,7,3,8,1,4]
[7,3,1,4,8,2,6,5]=>[3,7,8,2,6,1,4,5]
[6,3,1,4,8,2,7,5]=>[3,6,8,2,7,4,1,5]
[8,5,6,1,7,2,4,3]=>[6,7,4,2,8,5,1,3]
[5,4,7,1,8,2,6,3]=>[7,8,6,5,4,2,1,3]
[7,5,6,1,3,8,4,2]=>[6,4,1,8,7,5,3,2]
[7,3,1,5,4,8,6,2]=>[3,7,6,5,2,8,4,1]
[7,4,6,1,3,8,5,2]=>[6,5,1,8,7,2,3,4]
[6,8,5,1,3,7,4,2]=>[5,4,2,8,7,6,3,1]
[5,7,6,1,3,8,4,2]=>[6,4,2,7,5,8,3,1]
[6,7,5,1,3,8,4,2]=>[5,4,2,7,8,6,3,1]
[6,7,1,4,2,8,5,3]=>[7,4,5,1,8,6,2,3]
[5,7,1,4,2,8,6,3]=>[7,4,6,1,5,8,2,3]
[3,4,1,8,6,5,7,2]=>[4,7,3,1,6,8,5,2]
[8,3,1,7,4,5,6,2]=>[3,8,6,7,4,5,2,1]
[5,7,1,2,4,8,6,3]=>[7,1,6,2,5,8,4,3]
[6,7,4,1,3,8,5,2]=>[4,7,2,5,8,6,3,1]
[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,3,5]
[7,6,1,2,4,8,5,3]=>[6,1,5,3,7,8,4,2]
[7,6,4,1,3,8,5,2]=>[4,6,1,5,7,8,3,2]
[7,4,5,1,3,8,6,2]=>[5,6,1,8,2,7,3,4]
[1,5,7,8,4,2,3,6]=>[1,4,2,8,5,3,7,6]
[1,3,6,4,2,5,7,8]=>[1,4,3,6,2,5,7,8]
[1,4,5,7,8,3,6,2]=>[1,6,8,4,5,3,7,2]
[1,5,7,8,3,6,2,4]=>[1,6,8,2,5,3,7,4]
[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]
[6,8,1,7,2,4,5,3]=>[8,7,5,2,4,6,1,3]
[6,8,4,7,3,2,1,5]=>[2,3,7,8,1,6,4,5]
[3,8,4,2,7,5,1,6]=>[5,4,3,7,8,2,1,6]
[6,8,3,2,1,5,4,7]=>[2,3,8,5,1,6,4,7]
[6,5,8,2,1,3,4,7]=>[2,8,1,3,6,5,4,7]
[2,8,5,3,6,1,4,7]=>[6,2,5,1,8,3,4,7]
[2,8,1,4,6,7,5,3]=>[8,2,5,1,7,4,6,3]
[2,8,4,1,7,6,5,3]=>[4,2,8,5,6,7,3,1]
[6,8,5,4,2,7,1,3]=>[7,4,1,5,8,6,2,3]
[1,8,4,6,3,2,7,5]=>[1,3,6,8,7,4,2,5]
[6,4,8,5,3,2,1,7]=>[2,3,5,8,6,1,4,7]
[5,4,1,7,3,2,6,8]=>[4,3,5,7,2,1,6,8]
[3,5,6,1,4,2,7,8]=>[6,4,3,1,5,2,7,8]
[1,6,3,8,4,2,7,5]=>[1,4,8,6,7,2,3,5]
[5,3,6,8,4,2,7,1]=>[7,4,8,5,2,6,3,1]
[6,5,8,1,2,3,7,4]=>[8,1,2,7,6,5,3,4]
[5,3,1,4,7,6,8,2]=>[3,5,8,2,4,7,6,1]
[7,1,3,2,4,6,8,5]=>[7,3,1,2,8,4,6,5]
[6,4,3,2,7,5,8,1]=>[8,3,4,6,7,2,5,1]
[7,4,5,6,1,3,8,2]=>[6,8,1,7,4,5,3,2]
[7,5,4,2,1,3,8,6]=>[2,4,1,5,7,8,3,6]
[1,6,7,8,3,5,2,4]=>[1,5,8,2,3,6,7,4]
[2,1,4,8,7,3,5,6]=>[2,1,7,4,3,5,8,6]
[2,6,5,7,8,3,1,4]=>[3,2,8,1,6,5,7,4]
[3,7,6,8,2,5,4,1]=>[4,5,3,8,1,7,6,2]
[5,4,6,8,7,1,3,2]=>[7,3,1,5,4,6,8,2]
[4,1,8,2,6,7,5,3]=>[4,8,5,1,7,2,6,3]
[3,6,7,8,2,1,4,5]=>[2,8,3,1,4,6,7,5]
[2,5,7,1,6,3,4,8]=>[7,2,6,3,5,1,4,8]
[4,2,8,3,6,5,1,7]=>[5,4,6,2,8,1,3,7]
[6,3,8,7,2,4,5,1]=>[5,7,6,2,4,3,8,1]
[7,6,1,8,2,4,5,3]=>[6,7,5,1,4,8,2,3]
[2,5,6,3,4,8,1,7]=>[8,2,6,3,5,4,1,7]
[5,2,1,4,7,8,6,3]=>[2,5,6,1,4,8,7,3]
[5,2,4,7,8,6,1,3]=>[6,5,1,2,4,8,7,3]
[3,5,1,2,8,6,4,7]=>[5,1,3,6,2,8,4,7]
[7,2,1,3,4,8,5,6]=>[2,7,1,3,8,5,4,6]
[2,4,5,7,1,8,6,3]=>[7,2,6,4,5,8,1,3]
[2,6,4,7,3,1,5,8]=>[3,2,7,6,1,4,5,8]
[6,2,4,7,3,8,5,1]=>[5,8,6,3,7,4,1,2]
[7,6,3,1,2,5,8,4]=>[3,1,6,7,4,8,5,2]
[1,5,7,4,3,2,8,6]=>[1,3,4,7,5,8,2,6]
[8,1,6,2,3,4,7,5]=>[8,6,2,3,7,1,4,5]
[6,1,4,2,5,7,8,3]=>[6,4,8,1,2,5,7,3]
[3,4,8,6,7,2,5,1]=>[5,7,3,4,2,8,6,1]
[1,6,7,2,4,3,5,8]=>[1,7,4,2,3,6,5,8]
[1,8,7,3,2,6,5,4]=>[1,3,7,5,6,2,8,4]
[1,8,3,4,5,2,7,6]=>[1,5,8,3,4,7,2,6]
[1,8,3,6,4,7,2,5]=>[1,7,8,6,2,3,4,5]
[1,8,5,3,6,7,2,4]=>[1,7,5,2,8,3,6,4]
[1,4,7,2,5,6,3,8]=>[1,7,6,4,2,5,3,8]
[5,4,1,7,3,6,2,8]=>[4,5,6,7,2,1,3,8]
[7,3,5,8,2,6,1,4]=>[6,8,7,1,3,2,5,4]
[3,5,8,6,4,7,1,2]=>[7,1,3,6,5,8,4,2]
[3,4,8,6,7,2,1,5]=>[2,7,3,4,1,8,6,5]
[3,4,8,2,5,1,7,6]=>[5,8,3,4,2,7,1,6]
[1,4,6,2,5,8,7,3]=>[1,6,7,4,2,5,8,3]
[1,4,7,6,3,2,8,5]=>[1,3,6,4,7,8,5,2]
[1,5,6,4,2,3,8,7]=>[1,4,2,6,5,3,8,7]
[6,3,4,1,8,2,7,5]=>[4,8,6,3,7,1,2,5]
[4,1,6,8,2,5,7,3]=>[4,8,7,1,2,6,5,3]
[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]
[1,7,2,5,8,4,3,6]=>[1,7,4,8,2,3,5,6]
[1,4,6,7,8,3,5,2]=>[1,5,8,4,3,6,7,2]
[4,1,5,3,6,8,7,2]=>[4,7,5,1,3,6,8,2]
[3,7,5,1,6,8,4,2]=>[5,4,3,7,8,2,6,1]
[6,1,4,7,8,2,5,3]=>[6,8,5,1,2,4,7,3]
[5,8,7,4,6,2,3,1]=>[3,6,2,7,5,4,8,1]
[6,8,7,1,5,3,4,2]=>[7,4,5,3,1,6,8,2]
[2,7,8,4,6,5,1,3]=>[5,2,1,6,8,3,7,4]
[3,7,8,5,4,6,2,1]=>[2,6,3,5,8,4,7,1]
[4,8,7,5,2,6,3,1]=>[3,6,5,4,7,1,8,2]
[2,8,7,4,6,1,5,3]=>[6,2,5,7,1,4,8,3]
[4,8,7,2,5,6,3,1]=>[3,6,7,4,1,5,8,2]
[4,7,8,5,3,6,2,1]=>[2,6,5,4,8,3,7,1]
[6,4,8,1,5,7,3,2]=>[8,3,7,6,1,4,5,2]
[1,6,8,3,5,2,7,4]=>[1,5,8,7,3,6,2,4]
[4,5,8,6,3,7,2,1]=>[2,7,6,4,5,8,3,1]
[2,6,7,8,4,5,1,3]=>[5,2,1,8,4,6,7,3]
[6,1,2,8,4,7,5,3]=>[6,1,5,7,8,2,3,4]
[4,7,1,8,5,6,3,2]=>[7,3,6,4,8,5,1,2]
[5,7,1,8,2,6,4,3]=>[7,8,4,6,5,2,1,3]
[7,2,1,8,6,4,5,3]=>[2,7,5,6,4,8,1,3]
[5,3,8,4,7,6,2,1]=>[2,6,5,7,3,8,1,4]
[2,5,8,1,7,4,6,3]=>[8,2,6,7,5,4,1,3]
[4,5,8,3,7,6,2,1]=>[2,6,7,4,5,8,1,3]
[1,7,2,8,6,4,5,3]=>[1,7,5,6,4,8,2,3]
[3,5,7,8,1,6,2,4]=>[8,6,3,2,5,1,7,4]
[2,4,7,8,5,6,1,3]=>[6,2,1,4,8,5,7,3]
[4,1,7,8,5,6,3,2]=>[4,3,6,1,8,5,7,2]
[3,5,8,6,4,7,2,1]=>[2,7,3,6,5,8,4,1]
[2,4,8,5,7,6,1,3]=>[6,2,1,4,7,8,3,5]
[2,6,3,8,5,1,7,4]=>[5,2,8,6,7,4,3,1]
[4,1,5,8,6,7,3,2]=>[4,3,7,1,5,8,6,2]
[1,4,3,7,2,8,5,6]=>[1,7,4,3,8,5,2,6]
[4,5,8,2,6,3,1,7]=>[3,6,8,4,5,1,2,7]
[6,3,5,2,4,7,1,8]=>[7,5,6,2,3,4,1,8]
[5,2,6,3,4,8,1,7]=>[8,5,6,3,2,4,1,7]
[5,2,3,8,4,6,1,7]=>[6,5,2,8,3,4,1,7]
[4,2,3,5,8,6,1,7]=>[6,4,2,3,5,8,1,7]
[3,8,2,4,6,1,5,7]=>[6,8,3,2,1,4,5,7]
[2,3,8,4,6,1,5,7]=>[6,2,3,8,1,4,5,7]
[4,3,7,5,2,1,8,6]=>[2,5,4,3,7,8,1,6]
[5,3,4,7,6,1,2,8]=>[6,1,5,3,4,7,2,8]
[6,5,1,3,2,8,4,7]=>[5,3,1,6,8,4,2,7]
[5,1,4,3,2,7,6,8]=>[5,3,4,1,2,7,6,8]
[4,1,3,5,8,7,2,6]=>[4,7,1,3,5,2,8,6]
[3,1,2,7,4,8,6,5]=>[3,1,2,7,6,8,4,5]
[6,2,1,4,8,3,7,5]=>[2,6,8,1,7,4,3,5]
[3,4,7,2,1,8,5,6]=>[2,7,3,4,8,5,1,6]
[3,8,2,1,4,7,6,5]=>[2,8,3,1,6,7,4,5]
[3,2,4,7,1,8,5,6]=>[7,3,2,4,8,5,1,6]
[2,8,5,4,1,3,7,6]=>[4,2,1,5,8,7,3,6]
[4,2,3,5,7,1,8,6]=>[7,4,2,3,5,8,1,6]
[4,2,8,7,1,3,5,6]=>[7,4,1,2,3,5,8,6]
[4,8,6,5,3,1,2,7]=>[3,1,5,4,6,8,2,7]
[6,5,4,8,3,1,2,7]=>[3,1,8,5,6,4,2,7]
[5,4,6,3,1,7,2,8]=>[3,6,7,5,4,2,1,8]
[4,3,6,5,1,8,2,7]=>[5,6,4,3,8,2,1,7]
[1,5,6,8,7,3,2,4]=>[1,3,7,2,5,6,8,4]
[1,4,8,3,6,5,2,7]=>[1,5,6,4,8,2,3,7]
[4,8,1,3,6,5,2,7]=>[8,5,1,4,6,3,2,7]
[3,5,4,1,6,7,2,8]=>[4,5,3,7,2,6,1,8]
[3,4,1,8,6,5,2,7]=>[4,5,3,1,6,8,2,7]
[1,3,8,6,4,7,2,5]=>[1,7,3,6,2,8,4,5]
[1,2,8,6,4,3,7,5]=>[1,2,4,6,8,7,5,3]
[3,2,1,6,4,8,7,5]=>[2,3,1,6,7,4,8,5]
[6,5,1,8,7,3,2,4]=>[5,3,6,1,7,2,8,4]
[4,1,7,6,8,3,2,5]=>[4,3,8,1,2,7,6,5]
[3,1,7,6,4,8,2,5]=>[3,8,1,6,2,7,4,5]
[2,1,7,6,4,3,8,5]=>[2,1,4,6,7,8,5,3]
[6,3,5,1,2,8,7,4]=>[5,1,6,7,3,2,8,4]
[8,1,4,5,7,3,2,6]=>[8,3,7,1,4,2,5,6]
[1,8,4,7,6,2,3,5]=>[1,6,2,7,4,8,3,5]
[5,8,4,7,6,1,3,2]=>[6,3,1,7,5,8,2,4]
[8,3,2,6,1,7,4,5]=>[6,3,8,7,4,2,1,5]
[8,2,4,7,6,1,3,5]=>[6,7,2,1,3,8,4,5]
[1,6,3,7,4,5,2,8]=>[1,5,6,7,4,3,2,8]
[2,6,3,7,4,8,5,1]=>[5,2,8,6,7,4,1,3]
[4,6,1,7,8,2,5,3]=>[6,8,5,4,2,1,7,3]
[7,2,3,8,4,5,6,1]=>[6,7,2,8,4,5,3,1]
[5,2,6,7,8,3,4,1]=>[4,5,8,3,2,6,7,1]
[6,5,8,1,2,7,4,3]=>[8,1,4,7,6,5,2,3]
[6,5,1,8,7,2,4,3]=>[5,6,4,1,7,2,8,3]
[5,8,4,3,7,2,1,6]=>[2,7,4,8,5,1,3,6]
[6,1,2,8,7,3,4,5]=>[6,1,7,3,4,2,8,5]
[7,3,2,8,4,6,1,5]=>[6,3,7,8,1,4,2,5]
[4,5,1,7,6,2,8,3]=>[5,6,7,4,1,8,3,2]
[1,5,2,7,6,3,4,8]=>[1,5,6,3,2,7,4,8]
[7,2,6,8,3,5,4,1]=>[4,5,7,8,1,3,6,2]
[4,8,1,7,6,2,5,3]=>[8,6,5,4,2,7,1,3]
[7,2,8,6,5,3,4,1]=>[4,7,5,3,6,8,2,1]
[4,1,8,7,6,5,2,3]=>[4,5,2,1,6,7,8,3]
[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]
[8,6,5,2,7,4,1,3]=>[4,7,2,5,6,8,1,3]
[7,8,5,2,6,4,1,3]=>[4,6,2,5,8,1,7,3]
[8,7,5,2,6,1,4,3]=>[6,5,4,1,7,2,8,3]
[6,5,1,8,7,4,3,2]=>[5,3,4,6,7,2,8,1]
[7,5,1,8,6,4,3,2]=>[5,3,4,7,6,8,2,1]
[8,5,1,7,6,4,3,2]=>[5,3,4,8,6,7,2,1]
[8,5,3,7,6,1,4,2]=>[6,4,5,3,7,8,1,2]
[7,6,8,2,5,4,1,3]=>[4,5,2,8,1,7,6,3]
[7,2,8,6,1,5,4,3]=>[6,8,4,5,2,7,1,3]
[7,8,6,2,5,1,4,3]=>[5,6,4,1,2,8,7,3]
[3,8,7,6,1,5,4,2]=>[6,4,3,5,1,7,8,2]
[1,6,7,8,4,5,2,3]=>[1,5,2,8,4,6,7,3]
[3,6,2,8,4,1,5,7]=>[4,8,3,6,2,1,5,7]
[8,3,7,5,4,1,6,2]=>[4,5,7,6,8,3,2,1]
[8,6,4,5,3,1,7,2]=>[3,5,7,6,4,8,2,1]
[3,8,6,5,4,1,7,2]=>[4,5,3,6,8,7,2,1]
[1,6,5,8,4,7,2,3]=>[1,7,2,8,6,5,4,3]
[2,4,5,7,3,1,6,8]=>[3,2,7,4,5,1,6,8]
[8,2,6,7,4,5,1,3]=>[5,8,1,7,4,2,6,3]
[1,2,7,8,4,6,5,3]=>[1,2,5,6,8,3,7,4]
[6,3,8,4,1,2,5,7]=>[4,1,8,6,3,2,5,7]
[1,6,3,5,4,8,2,7]=>[1,8,6,5,3,4,2,7]
[4,5,3,1,8,7,2,6]=>[3,5,7,4,2,1,8,6]
[3,1,5,8,6,4,2,7]=>[3,4,1,6,5,8,2,7]
[3,4,8,1,5,2,6,7]=>[8,5,3,4,1,2,6,7]
[4,6,8,1,5,2,3,7]=>[8,5,2,4,1,6,3,7]
[5,2,6,7,1,8,3,4]=>[7,5,8,3,2,6,1,4]
[3,6,8,5,2,7,1,4]=>[7,5,3,1,8,6,2,4]
[6,1,8,2,7,4,3,5]=>[6,8,4,7,3,1,2,5]
[2,5,6,3,1,7,4,8]=>[3,2,6,7,5,1,4,8]
[7,5,2,6,1,4,3,8]=>[6,5,4,1,7,2,3,8]
[5,7,6,2,8,1,3,4]=>[8,6,1,3,5,7,2,4]
[5,2,4,6,8,7,1,3]=>[7,5,1,2,4,6,8,3]
[8,1,6,5,7,2,3,4]=>[8,7,2,3,6,1,5,4]
[1,4,6,2,5,7,3,8]=>[1,6,7,4,2,5,3,8]
[8,6,5,7,1,3,2,4]=>[7,3,1,2,6,8,5,4]
[7,1,6,5,2,8,4,3]=>[7,5,4,6,8,1,3,2]
[1,5,8,6,2,7,4,3]=>[1,6,4,8,5,7,3,2]
[6,4,7,1,3,8,2,5]=>[7,8,1,6,2,4,3,5]
[8,2,3,6,7,4,1,5]=>[4,7,1,8,2,3,6,5]
[8,7,5,2,4,3,1,6]=>[3,4,5,1,7,2,8,6]
[3,1,8,5,7,2,6,4]=>[3,7,1,6,8,2,5,4]
[6,5,2,1,7,4,3,8]=>[2,5,4,6,7,3,1,8]
[6,7,4,2,3,8,1,5]=>[8,4,2,7,1,6,3,5]
[5,6,4,3,8,1,2,7]=>[8,1,4,6,5,3,2,7]
[6,8,5,3,4,2,1,7]=>[2,4,5,3,8,6,1,7]
[8,5,2,6,4,3,1,7]=>[3,4,6,5,8,2,1,7]
[8,6,4,5,2,1,7,3]=>[2,5,7,6,4,8,1,3]
[8,5,2,6,1,4,7,3]=>[6,5,8,1,7,3,4,2]
[8,5,6,4,2,7,1,3]=>[7,4,1,6,8,5,2,3]
[5,7,2,4,8,1,6,3]=>[8,7,6,2,5,1,4,3]
[2,7,5,8,1,4,6,3]=>[8,2,6,1,7,4,5,3]
[2,7,3,5,8,1,6,4]=>[8,2,7,6,3,1,5,4]
[5,2,7,3,8,1,6,4]=>[8,5,7,6,2,1,3,4]
[8,5,6,4,1,3,7,2]=>[4,6,2,7,8,5,3,1]
[8,5,1,6,7,3,2,4]=>[5,3,8,1,7,2,6,4]
[3,7,5,8,2,1,6,4]=>[2,8,3,6,7,1,5,4]
[3,2,6,7,1,8,5,4]=>[7,3,2,5,8,6,1,4]
[6,1,3,7,8,2,5,4]=>[6,8,1,5,2,3,7,4]
[5,4,7,8,1,2,6,3]=>[8,1,6,5,4,2,7,3]
[5,7,1,4,3,8,6,2]=>[7,6,4,1,5,8,3,2]
[3,1,6,7,8,2,5,4]=>[3,8,1,5,2,6,7,4]
[1,3,6,7,8,2,5,4]=>[1,8,3,5,2,6,7,4]
[3,4,6,7,8,2,1,5]=>[2,8,3,4,1,6,7,5]
[1,6,3,7,8,2,5,4]=>[1,8,6,5,2,3,7,4]
[3,2,6,7,8,4,1,5]=>[4,3,2,8,1,6,7,5]
[6,2,7,8,5,3,1,4]=>[3,5,8,1,6,2,7,4]
[6,2,7,4,8,5,1,3]=>[5,8,2,6,7,4,1,3]
[6,2,1,4,7,8,5,3]=>[2,6,5,1,8,4,7,3]
[5,7,2,8,1,4,6,3]=>[8,7,6,1,5,4,2,3]
[7,8,4,3,1,6,5,2]=>[3,4,8,5,6,1,7,2]
[2,6,1,7,8,3,5,4]=>[6,2,8,5,3,1,7,4]
[2,7,5,8,6,1,3,4]=>[6,2,1,3,8,7,4,5]
[6,7,1,3,8,5,4,2]=>[7,4,1,5,8,6,3,2]
[6,7,1,8,5,2,4,3]=>[7,5,4,2,8,6,1,3]
[2,6,4,7,8,1,3,5]=>[8,2,1,6,3,4,7,5]
[1,2,6,7,8,5,3,4]=>[1,2,5,3,8,6,7,4]
[1,6,7,4,8,3,2,5]=>[1,3,8,7,2,6,4,5]
[1,6,4,7,8,3,2,5]=>[1,3,8,6,2,4,7,5]
[1,4,6,7,8,3,2,5]=>[1,3,8,4,2,6,7,5]
[6,1,2,4,5,3,7,8]=>[6,1,5,2,4,3,7,8]
[7,5,1,2,4,6,3,8]=>[5,1,7,3,6,4,2,8]
[8,1,7,3,2,6,4,5]=>[8,3,7,6,4,2,1,5]
[8,7,2,1,5,4,6,3]=>[2,7,6,5,1,4,8,3]
[2,7,4,8,6,5,3,1]=>[3,2,5,6,8,7,4,1]
[7,6,5,2,4,1,8,3]=>[4,5,6,2,7,8,1,3]
[7,6,4,3,1,5,8,2]=>[3,4,6,7,2,8,5,1]
[6,1,8,7,2,3,5,4]=>[6,7,2,5,3,1,8,4]
[8,6,1,2,7,3,4,5]=>[6,1,8,2,4,7,3,5]
[3,6,8,2,7,1,5,4]=>[7,8,3,5,1,6,2,4]
[2,8,6,1,4,5,7,3]=>[6,2,8,3,4,7,5,1]
[6,8,7,2,5,4,1,3]=>[4,5,2,7,1,6,8,3]
[7,8,1,3,4,6,2,5]=>[8,6,1,3,2,4,7,5]
[3,2,6,4,8,7,5,1]=>[5,3,2,7,6,1,8,4]
[4,7,2,8,6,5,1,3]=>[5,6,1,4,8,7,2,3]
[4,7,1,8,6,5,3,2]=>[7,3,5,4,6,8,1,2]
[2,7,4,8,3,6,1,5]=>[6,2,8,7,1,3,4,5]
[4,7,3,8,6,1,5,2]=>[6,5,8,4,3,7,1,2]
[4,3,6,8,7,2,5,1]=>[5,7,4,3,2,6,8,1]
[4,3,8,2,5,7,6,1]=>[6,7,4,3,1,8,5,2]
[4,1,2,6,8,7,5,3]=>[4,1,5,2,7,6,8,3]
[3,1,6,4,8,7,2,5]=>[3,7,1,6,2,4,8,5]
[4,1,6,8,7,5,2,3]=>[4,5,2,1,7,6,8,3]
[3,8,1,4,5,7,2,6]=>[8,7,3,1,4,2,5,6]
[3,8,1,4,2,5,7,6]=>[8,4,3,1,2,7,5,6]
[4,1,8,3,5,2,7,6]=>[4,5,8,1,3,7,2,6]
[3,8,1,2,5,4,7,6]=>[8,1,3,5,2,7,4,6]
[4,2,3,6,8,7,1,5]=>[7,4,2,3,1,6,8,5]
[4,2,8,3,5,1,7,6]=>[5,4,8,2,3,7,1,6]
[4,2,8,3,5,7,6,1]=>[6,4,7,2,1,8,5,3]
[3,8,2,4,5,7,6,1]=>[6,7,3,1,4,8,5,2]
[3,8,2,5,1,4,7,6]=>[5,8,3,1,2,7,4,6]
[4,2,8,5,7,1,3,6]=>[7,4,1,2,8,3,5,6]
[3,8,1,5,2,4,7,6]=>[8,5,3,2,1,7,4,6]
[7,5,6,4,1,3,2,8]=>[4,3,1,6,7,5,2,8]
[7,8,6,4,1,3,2,5]=>[4,3,1,6,2,8,7,5]
[7,1,4,2,5,6,3,8]=>[7,4,6,1,2,5,3,8]
[7,3,2,1,4,6,5,8]=>[2,3,7,1,6,4,5,8]
[7,6,1,4,3,2,5,8]=>[6,3,4,1,2,7,5,8]
[7,4,1,3,5,6,2,8]=>[4,7,2,6,3,5,1,8]
[2,7,1,3,5,6,8,4]=>[7,2,1,8,3,5,6,4]
[3,6,2,1,5,8,7,4]=>[2,6,3,7,1,5,8,4]
[2,3,6,1,5,8,7,4]=>[6,2,3,7,1,5,8,4]
[3,4,7,1,5,6,8,2]=>[7,8,3,4,1,5,6,2]
[3,6,7,4,1,2,8,5]=>[4,1,3,7,8,6,2,5]
[4,3,2,7,1,6,8,5]=>[7,3,4,2,8,1,6,5]
[7,3,2,8,1,6,4,5]=>[8,3,7,6,4,1,2,5]
[7,4,8,1,5,6,3,2]=>[8,3,6,7,1,5,4,2]
[2,6,8,1,5,3,7,4]=>[8,2,5,7,1,6,3,4]
[6,8,2,1,5,3,7,4]=>[2,8,5,7,1,6,3,4]
[4,8,2,5,3,6,7,1]=>[7,8,5,4,2,3,6,1]
[4,5,8,2,3,6,7,1]=>[7,8,2,4,5,3,6,1]
[2,4,8,5,3,6,7,1]=>[7,2,5,4,8,3,6,1]
[5,3,2,6,4,8,7,1]=>[7,3,5,6,2,4,8,1]
[2,4,5,3,8,6,7,1]=>[7,2,5,4,3,8,6,1]
[4,3,5,2,8,6,7,1]=>[7,5,4,3,2,8,6,1]
[4,8,5,3,2,6,7,1]=>[7,3,5,4,8,2,6,1]
[3,5,4,2,8,6,7,1]=>[7,4,3,5,2,8,6,1]
[4,1,2,7,5,6,8,3]=>[4,1,8,2,7,5,6,3]
[5,6,7,4,2,8,3,1]=>[3,8,4,7,5,6,1,2]
[2,5,7,4,6,8,3,1]=>[3,2,8,7,5,4,6,1]
[7,5,2,4,3,8,6,1]=>[6,5,4,1,8,7,3,2]
[6,8,1,2,5,4,7,3]=>[8,1,7,5,2,6,4,3]
[6,4,1,8,5,2,7,3]=>[4,6,5,8,7,2,1,3]
[2,6,1,8,5,4,7,3]=>[6,2,7,5,8,1,4,3]
[7,1,2,8,5,6,4,3]=>[7,1,4,6,8,5,2,3]
[4,3,2,6,8,5,7,1]=>[7,3,4,2,8,6,5,1]
[3,7,6,4,8,5,2,1]=>[2,5,3,8,6,7,1,4]
[3,1,6,8,5,4,7,2]=>[3,7,1,5,8,6,4,2]
[2,3,5,8,4,6,7,1]=>[7,2,3,8,5,4,6,1]
[3,5,2,8,4,6,7,1]=>[7,5,3,8,2,4,6,1]
[3,4,5,8,2,6,7,1]=>[7,8,3,4,5,2,6,1]
[5,4,2,8,3,6,7,1]=>[7,4,5,8,3,2,6,1]
[5,3,4,8,2,6,7,1]=>[7,8,5,3,4,2,6,1]
[2,5,4,8,3,6,7,1]=>[7,2,8,5,4,3,6,1]
[6,3,2,5,8,4,7,1]=>[7,3,6,8,2,5,4,1]
[6,1,8,3,5,4,7,2]=>[6,7,8,5,3,1,4,2]
[5,4,8,3,2,6,7,1]=>[7,3,8,5,4,2,6,1]
[5,8,2,3,4,6,7,1]=>[7,8,2,3,5,4,6,1]
[7,2,5,6,4,1,8,3]=>[4,6,7,8,3,5,2,1]
[6,2,1,7,8,5,4,3]=>[2,6,4,5,8,1,7,3]
[7,2,5,1,4,6,8,3]=>[5,7,8,1,2,4,6,3]
[8,2,1,7,4,5,6,3]=>[2,8,6,7,4,5,1,3]
[8,2,5,6,4,1,7,3]=>[4,6,8,7,3,5,2,1]
[8,2,5,6,4,7,1,3]=>[7,8,1,6,2,5,4,3]
[7,4,6,8,3,2,5,1]=>[5,3,8,7,2,4,6,1]
[7,4,6,8,3,2,1,5]=>[2,3,8,7,1,4,6,5]
[1,5,8,6,3,7,2,4]=>[1,7,6,2,5,8,3,4]
[6,1,8,7,3,5,2,4]=>[6,5,7,2,3,1,8,4]
[6,1,2,7,3,5,4,8]=>[6,1,7,5,3,2,4,8]
[3,4,5,2,7,1,6,8]=>[7,5,3,4,2,1,6,8]
[1,4,6,7,3,2,5,8]=>[1,3,7,4,2,6,5,8]
[3,1,7,8,2,4,6,5]=>[3,8,1,2,6,4,7,5]
[1,4,6,8,3,2,7,5]=>[1,3,8,4,7,6,2,5]
[3,4,5,2,7,1,8,6]=>[7,5,3,4,2,8,1,6]
[3,1,7,6,8,4,2,5]=>[3,4,1,8,2,7,6,5]
[7,5,6,1,2,3,8,4]=>[6,1,2,8,7,5,3,4]
[1,5,7,6,3,2,8,4]=>[1,3,6,7,5,8,4,2]
[8,4,6,7,3,1,2,5]=>[3,1,7,8,2,4,6,5]
[8,4,6,7,3,2,5,1]=>[5,3,7,8,2,4,6,1]
[3,8,7,6,2,4,5,1]=>[5,6,3,2,4,7,8,1]
[3,7,5,2,1,6,8,4]=>[2,5,3,7,8,4,6,1]
[3,7,2,4,1,6,8,5]=>[4,7,3,2,8,1,6,5]
[3,8,2,4,7,6,1,5]=>[6,7,3,1,2,8,4,5]
[8,4,6,2,3,5,7,1]=>[7,6,2,8,3,4,5,1]
[8,4,6,2,3,1,5,7]=>[3,6,2,8,1,4,5,7]
[8,5,2,6,3,4,1,7]=>[4,5,8,2,6,3,1,7]
[7,5,2,1,4,3,8,6]=>[2,5,4,1,7,8,3,6]
[3,4,1,7,5,2,8,6]=>[4,5,3,1,7,8,2,6]
[3,1,7,8,5,4,2,6]=>[3,4,1,5,8,2,7,6]
[3,4,5,2,8,6,1,7]=>[6,5,3,4,2,8,1,7]
[3,4,5,2,8,1,6,7]=>[8,5,3,4,2,1,6,7]
[3,4,5,2,8,6,7,1]=>[7,5,3,4,2,8,6,1]
[3,4,5,2,6,8,1,7]=>[8,5,3,4,2,6,1,7]
[3,4,5,2,1,8,6,7]=>[2,5,3,4,1,8,6,7]
[7,6,4,8,3,1,2,5]=>[3,1,8,6,2,7,4,5]
[7,4,8,5,6,1,2,3]=>[6,1,2,7,8,5,4,3]
[6,2,8,5,1,3,4,7]=>[5,8,2,3,6,1,4,7]
[3,2,7,8,6,1,4,5]=>[6,3,2,1,4,8,7,5]
[6,8,2,5,1,3,7,4]=>[5,8,1,7,2,6,3,4]
[6,7,4,2,1,5,3,8]=>[2,4,7,5,3,6,1,8]
[5,7,4,1,3,6,2,8]=>[4,7,2,6,5,3,1,8]
[4,2,7,5,1,8,3,6]=>[5,4,7,2,8,1,3,6]
[4,1,6,5,3,8,2,7]=>[4,8,5,1,6,3,2,7]
[1,5,4,6,3,8,2,7]=>[1,8,6,5,4,3,2,7]
[1,8,6,4,7,3,2,5]=>[1,3,7,6,2,8,4,5]
[4,7,1,8,6,3,5,2]=>[7,5,6,4,3,8,1,2]
[5,4,8,1,7,3,6,2]=>[8,6,7,5,4,3,1,2]
[4,3,8,6,2,1,7,5]=>[2,6,4,3,8,7,5,1]
[8,3,6,2,4,1,7,5]=>[4,6,8,2,7,3,1,5]
[7,8,3,2,4,6,5,1]=>[5,3,6,1,8,4,7,2]
[7,2,8,5,3,1,6,4]=>[3,5,8,7,6,1,4,2]
[2,5,4,8,7,3,6,1]=>[6,2,7,5,4,3,8,1]
[6,4,2,8,7,3,1,5]=>[3,7,4,6,2,1,8,5]
[3,6,8,1,7,4,2,5]=>[8,4,3,7,2,6,1,5]
[7,8,6,3,1,4,5,2]=>[3,6,5,2,4,8,7,1]
[3,8,6,1,7,5,2,4]=>[6,5,3,1,8,7,2,4]
[2,7,5,4,8,3,1,6]=>[3,2,8,5,7,1,4,6]
[6,8,7,5,2,1,3,4]=>[2,5,1,3,7,6,8,4]
[7,6,2,8,5,1,3,4]=>[5,8,2,3,6,7,1,4]
[1,5,7,6,2,8,4,3]=>[1,6,4,7,5,8,3,2]
[1,6,5,2,7,8,4,3]=>[1,5,4,6,8,3,7,2]
[4,7,8,5,6,2,3,1]=>[3,6,2,4,8,5,7,1]
[2,7,8,5,6,1,4,3]=>[6,2,4,1,8,5,7,3]
[6,7,8,4,2,1,5,3]=>[2,4,8,5,3,6,7,1]
[4,7,8,1,2,5,6,3]=>[8,1,6,4,2,5,7,3]
[8,6,4,1,2,5,7,3]=>[4,1,6,8,2,7,5,3]
[6,1,4,7,2,5,8,3]=>[6,7,8,1,2,4,5,3]
[6,7,8,3,5,4,2,1]=>[2,4,5,8,1,6,7,3]
[2,7,8,3,6,5,4,1]=>[4,2,5,6,8,3,7,1]
[6,7,8,2,1,5,3,4]=>[2,8,5,3,1,6,7,4]
[8,6,2,1,7,5,4,3]=>[2,6,4,5,8,7,3,1]
[3,6,1,2,5,7,4,8]=>[6,1,3,7,2,5,4,8]
[5,6,3,2,7,4,1,8]=>[4,3,7,6,5,1,2,8]
[2,6,4,3,7,5,8,1]=>[8,2,4,6,7,3,5,1]
[8,2,4,7,1,5,3,6]=>[7,8,5,2,1,3,4,6]
[5,2,3,7,8,4,1,6]=>[4,8,1,5,3,2,7,6]
[7,2,3,6,1,8,4,5]=>[6,7,2,8,4,3,1,5]
[5,2,7,3,6,8,4,1]=>[4,8,5,7,3,1,6,2]
[2,5,6,7,3,8,4,1]=>[4,2,8,7,5,6,1,3]
[7,5,6,1,2,8,3,4]=>[6,1,8,3,7,5,2,4]
[4,1,5,8,6,2,7,3]=>[4,6,8,1,5,7,3,2]
[3,4,6,5,7,1,2,8]=>[7,1,3,4,6,5,2,8]
[2,4,7,5,6,3,1,8]=>[3,2,6,4,7,5,1,8]
[7,5,1,6,3,4,2,8]=>[5,4,7,1,6,3,2,8]
[7,6,2,3,5,4,8,1]=>[8,6,2,5,3,7,4,1]
[8,5,2,4,3,6,1,7]=>[6,5,4,2,8,3,1,7]
[8,5,7,2,4,1,6,3]=>[4,7,6,2,8,1,5,3]
[2,6,7,5,8,1,4,3]=>[8,2,4,1,7,6,5,3]
[2,6,7,5,8,3,4,1]=>[4,2,8,3,7,6,5,1]
[2,5,8,7,6,3,4,1]=>[4,2,6,3,5,7,8,1]
[4,5,8,7,6,2,3,1]=>[3,6,2,4,5,7,8,1]
[7,4,8,2,1,5,6,3]=>[2,8,6,7,1,5,4,3]
[7,3,2,4,1,6,5,8]=>[4,3,7,2,6,1,5,8]
[8,3,2,7,5,4,6,1]=>[6,3,8,5,7,4,2,1]
[5,4,2,7,1,6,3,8]=>[7,4,5,6,3,1,2,8]
[2,3,6,7,8,5,1,4]=>[5,2,3,1,8,6,7,4]
[8,3,7,1,6,4,2,5]=>[7,4,6,8,3,1,2,5]
[2,4,7,8,6,3,5,1]=>[5,2,6,4,3,8,7,1]
[8,2,1,7,6,5,3,4]=>[2,8,5,3,6,7,1,4]
[5,7,4,1,6,8,2,3]=>[4,7,1,8,5,2,6,3]
[1,4,6,8,7,3,2,5]=>[1,3,7,4,2,6,8,5]
[1,5,8,3,6,2,4,7]=>[1,6,8,2,5,3,4,7]
[6,5,1,2,8,3,4,7]=>[5,1,6,2,8,3,4,7]
[5,6,8,1,3,7,2,4]=>[8,7,1,2,5,6,3,4]
[6,4,2,8,3,7,1,5]=>[7,4,6,8,1,3,2,5]
[3,7,4,8,6,1,2,5]=>[6,1,3,8,4,7,2,5]
[7,8,2,5,6,3,1,4]=>[3,6,8,2,1,5,7,4]
[6,1,8,5,3,2,4,7]=>[6,3,5,2,8,1,4,7]
[1,6,8,5,3,2,4,7]=>[1,3,5,2,8,6,4,7]
[5,1,2,8,3,7,4,6]=>[5,1,8,7,2,4,3,6]
[8,5,2,1,3,7,4,6]=>[2,5,1,8,7,3,4,6]
[5,8,1,6,7,4,2,3]=>[8,4,2,7,5,1,6,3]
[4,6,7,2,3,1,8,5]=>[3,7,2,4,8,6,1,5]
[3,6,4,2,8,1,5,7]=>[8,4,3,6,1,2,5,7]
[7,2,6,5,1,3,8,4]=>[5,6,2,7,8,4,3,1]
[5,2,8,3,1,7,4,6]=>[3,8,5,7,1,4,2,6]
[5,2,1,8,3,7,4,6]=>[2,5,8,7,1,4,3,6]
[1,2,8,4,6,7,3,5]=>[1,2,7,8,3,4,6,5]
[7,2,8,4,6,1,3,5]=>[6,7,1,8,3,4,2,5]
[6,2,7,4,3,8,1,5]=>[8,6,4,7,1,2,3,5]
[8,2,5,7,3,4,1,6]=>[4,8,7,3,2,1,5,6]
[7,5,2,8,3,1,4,6]=>[3,8,5,2,7,4,1,6]
[1,7,8,4,6,2,3,5]=>[1,6,2,8,3,4,7,5]
[7,1,8,4,6,2,3,5]=>[7,6,2,8,3,4,1,5]
[1,8,6,5,4,7,2,3]=>[1,7,2,5,6,8,4,3]
[5,8,6,1,4,7,2,3]=>[6,8,1,2,5,7,4,3]
[8,1,6,5,4,7,2,3]=>[8,7,2,5,6,1,4,3]
[4,1,6,8,7,3,2,5]=>[4,3,7,1,2,6,8,5]
[5,1,4,6,7,3,8,2]=>[5,8,7,1,4,6,3,2]
[4,8,6,1,5,7,2,3]=>[6,8,1,4,2,7,5,3]
[4,1,6,2,5,7,8,3]=>[4,6,8,1,2,5,7,3]
[1,5,3,7,2,4,8,6]=>[1,7,5,2,3,8,4,6]
[5,1,3,7,2,4,8,6]=>[5,7,1,2,3,8,4,6]
[3,4,8,2,5,7,1,6]=>[7,8,3,4,2,1,5,6]
[6,7,3,4,1,2,8,5]=>[4,1,7,3,8,6,2,5]
[7,1,3,4,6,2,8,5]=>[7,6,1,3,8,4,2,5]
[1,7,3,4,6,2,8,5]=>[1,6,7,3,8,4,2,5]
[4,7,2,8,5,3,1,6]=>[3,5,8,4,7,1,2,6]
[2,8,5,1,3,4,7,6]=>[5,2,1,3,8,7,4,6]
[8,1,6,5,2,4,7,3]=>[8,5,6,3,7,1,4,2]
[8,7,1,4,6,3,2,5]=>[7,3,6,1,2,4,8,5]
[5,7,1,3,6,8,2,4]=>[7,8,1,2,5,3,6,4]
[6,5,2,8,4,7,1,3]=>[7,5,1,6,8,4,2,3]
[1,4,7,5,8,6,3,2]=>[1,3,6,4,8,7,2,5]
[8,5,7,2,3,6,1,4]=>[6,7,2,1,8,3,5,4]
[6,1,8,3,4,7,2,5]=>[6,7,8,3,2,1,4,5]
[1,7,8,3,4,6,2,5]=>[1,6,8,3,2,4,7,5]
[1,8,6,3,5,2,7,4]=>[1,5,6,8,4,7,2,3]
[7,8,1,3,5,4,2,6]=>[8,4,1,5,3,2,7,6]
[4,7,1,6,8,3,5,2]=>[7,5,8,4,3,1,6,2]
[3,5,8,2,6,4,1,7]=>[4,6,3,8,5,1,2,7]
[3,6,5,2,8,4,1,7]=>[4,8,3,5,6,1,2,7]
[4,2,5,8,6,3,7,1]=>[7,4,6,2,5,8,3,1]
[7,2,8,3,5,4,1,6]=>[4,5,7,8,1,2,3,6]
[8,2,5,6,3,1,7,4]=>[3,6,8,7,1,5,2,4]
[4,2,1,5,3,8,7,6]=>[2,4,5,1,3,7,8,6]
[6,8,2,4,7,3,1,5]=>[3,7,8,1,2,6,4,5]
[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]
[8,7,1,4,2,3,6,5]=>[7,4,2,1,6,3,8,5]
[7,1,8,4,2,5,3,6]=>[7,4,8,5,3,2,1,6]
[1,4,8,7,5,2,6,3]=>[1,5,7,4,6,3,8,2]
[1,4,7,8,5,3,6,2]=>[1,6,5,4,8,3,7,2]
[4,1,8,6,5,7,3,2]=>[4,3,7,1,6,8,5,2]
[5,7,6,4,1,2,3,8]=>[4,1,2,6,5,7,3,8]
[1,5,6,4,2,3,7,8]=>[1,4,2,6,5,3,7,8]
[5,7,3,6,8,4,2,1]=>[2,4,8,7,5,1,6,3]
[7,4,6,2,5,8,1,3]=>[8,6,1,7,2,4,5,3]
[8,7,3,4,2,6,1,5]=>[6,4,7,3,1,2,8,5]
[6,4,1,2,5,3,8,7]=>[4,1,6,5,3,2,8,7]
[6,2,3,4,7,1,5,8]=>[7,6,2,3,1,4,5,8]
[5,8,7,4,2,1,3,6]=>[2,4,1,7,5,3,8,6]
[5,2,1,3,8,6,4,7]=>[2,5,1,6,3,8,4,7]
[3,1,5,2,7,8,6,4]=>[3,5,1,6,2,8,7,4]
[6,3,2,5,1,8,7,4]=>[5,3,6,7,2,1,8,4]
[6,2,1,3,8,7,4,5]=>[2,6,1,7,4,3,8,5]
[1,5,8,7,3,4,2,6]=>[1,4,7,3,5,2,8,6]
[1,8,7,3,2,5,4,6]=>[1,3,7,5,2,4,8,6]
[1,2,5,4,8,7,3,6]=>[1,2,7,5,4,3,8,6]
[1,2,4,8,6,3,5,7]=>[1,2,6,4,3,8,5,7]
[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]
[2,7,4,1,8,6,3,5]=>[4,2,7,6,1,8,3,5]
[8,6,3,5,7,4,1,2]=>[4,1,7,6,2,8,5,3]
[8,5,3,2,1,4,7,6]=>[2,3,5,1,8,7,4,6]
[1,7,6,8,5,3,2,4]=>[1,3,5,2,8,7,6,4]
[1,2,7,6,8,4,3,5]=>[1,2,4,8,3,7,6,5]
[1,6,3,2,5,7,8,4]=>[1,3,6,8,2,5,7,4]
[1,7,3,4,2,6,8,5]=>[1,4,7,3,8,2,6,5]
[7,4,6,8,5,2,1,3]=>[2,5,1,8,7,3,6,4]
[1,6,3,5,8,4,2,7]=>[1,4,8,6,2,5,3,7]
[1,5,6,3,2,8,4,7]=>[1,3,6,8,5,2,4,7]
[1,2,5,8,4,6,3,7]=>[1,2,6,8,5,4,3,7]
[1,5,3,2,7,8,4,6]=>[1,3,5,8,2,4,7,6]
[3,1,8,5,2,6,4,7]=>[3,5,1,8,6,4,2,7]
[5,2,1,3,7,4,8,6]=>[2,5,1,7,3,8,4,6]
[4,1,8,6,2,3,7,5]=>[4,6,2,1,8,7,5,3]
[4,8,6,3,2,7,5,1]=>[5,3,7,4,6,8,1,2]
[7,5,8,6,2,3,4,1]=>[4,6,2,3,8,7,1,5]
[1,7,6,4,3,8,5,2]=>[1,5,4,8,6,7,2,3]
[1,8,5,7,6,3,2,4]=>[1,3,6,2,7,8,4,5]
[1,4,7,3,6,8,5,2]=>[1,5,8,4,7,2,6,3]
[1,6,3,5,7,8,4,2]=>[1,4,8,6,2,5,7,3]
[1,5,6,3,2,7,8,4]=>[1,3,6,8,5,2,7,4]
[1,2,7,6,8,4,5,3]=>[1,2,5,8,4,7,6,3]
[1,8,4,7,5,3,2,6]=>[1,3,5,7,8,4,2,6]
[6,8,5,2,1,7,4,3]=>[2,5,4,8,7,6,3,1]
[2,8,5,6,3,1,7,4]=>[3,2,6,7,8,5,1,4]
[1,2,6,8,4,3,7,5]=>[1,2,4,8,7,6,3,5]
[5,3,7,2,6,4,1,8]=>[4,6,7,5,1,3,2,8]
[5,3,8,2,6,1,7,4]=>[6,8,5,7,3,2,1,4]
[7,5,2,8,6,1,3,4]=>[6,5,2,3,8,7,1,4]
[7,6,2,5,3,4,1,8]=>[4,6,5,3,2,7,1,8]
[7,6,2,4,5,3,1,8]=>[3,5,6,1,4,7,2,8]
[7,6,2,4,3,5,1,8]=>[5,6,4,2,3,7,1,8]
[7,6,2,3,5,4,1,8]=>[4,5,1,6,3,7,2,8]
[8,4,2,7,1,6,3,5]=>[7,4,8,6,2,1,3,5]
[4,6,3,2,8,1,7,5]=>[8,3,6,4,7,2,1,5]
[8,7,6,1,5,3,2,4]=>[6,3,5,2,1,7,8,4]
[7,8,4,3,1,5,6,2]=>[3,4,8,6,1,5,7,2]
[8,7,6,1,4,3,5,2]=>[6,5,4,1,3,7,8,2]
[8,7,6,1,3,5,4,2]=>[6,4,1,5,3,7,8,2]
[8,7,6,1,5,4,2,3]=>[6,4,2,5,1,7,8,3]
[8,6,2,7,1,5,3,4]=>[7,6,5,3,1,8,2,4]
[5,3,7,2,8,1,6,4]=>[8,7,5,6,3,1,2,4]
[8,3,5,4,2,1,6,7]=>[2,4,5,8,1,3,6,7]
[7,8,4,3,1,5,2,6]=>[3,4,8,5,1,2,7,6]
[8,6,3,7,1,5,2,4]=>[7,5,6,2,1,8,3,4]
[8,7,6,1,2,5,3,4]=>[6,1,5,3,2,7,8,4]
[8,7,6,1,2,5,4,3]=>[6,1,4,5,2,7,8,3]
[8,7,6,1,4,2,5,3]=>[6,4,5,1,2,7,8,3]
[4,7,5,8,6,1,3,2]=>[6,3,1,4,8,7,2,5]
[6,5,7,3,8,4,1,2]=>[4,1,8,7,6,5,2,3]
[8,7,5,4,1,2,6,3]=>[4,1,5,7,6,2,8,3]
[8,6,7,1,5,3,2,4]=>[7,3,5,2,1,8,6,4]
[7,5,6,1,3,4,2,8]=>[6,4,1,3,7,5,2,8]
[5,7,8,1,3,4,2,6]=>[8,4,1,3,5,2,7,6]
[7,8,5,1,3,4,2,6]=>[5,4,1,3,8,2,7,6]
[5,7,8,3,4,6,1,2]=>[6,1,8,3,5,4,7,2]
[7,5,1,3,4,2,6,8]=>[5,4,1,3,7,2,6,8]
[5,7,1,3,4,2,8,6]=>[7,4,1,3,5,8,2,6]
[7,3,5,6,4,8,1,2]=>[8,1,7,6,3,5,4,2]
[1,7,3,8,2,5,6,4]=>[1,8,7,6,2,5,3,4]
[1,5,3,7,8,4,6,2]=>[1,6,5,8,3,4,7,2]
[1,5,7,3,8,2,6,4]=>[1,8,7,6,5,2,3,4]
[7,1,5,3,6,2,4,8]=>[7,6,5,2,1,3,4,8]
[1,7,3,5,8,4,2,6]=>[1,4,8,7,2,3,5,6]
[1,3,7,5,8,6,2,4]=>[1,6,3,2,8,7,4,5]
[1,7,8,5,3,6,2,4]=>[1,6,5,2,8,3,7,4]
[1,7,5,8,3,4,2,6]=>[1,4,8,3,7,2,5,6]
[7,1,5,6,3,4,2,8]=>[7,4,6,3,1,5,2,8]
[7,3,5,6,4,1,2,8]=>[4,1,6,7,2,5,3,8]
[3,7,5,8,4,1,2,6]=>[4,1,3,8,7,2,5,6]
[7,5,6,8,1,3,4,2]=>[8,4,1,3,7,5,6,2]
[5,3,4,7,8,1,2,6]=>[8,1,5,3,4,2,7,6]
[5,3,7,6,8,1,2,4]=>[8,1,5,2,3,7,6,4]
[3,7,1,2,5,8,4,6]=>[7,1,3,8,2,4,5,6]
[3,1,2,7,5,8,4,6]=>[3,1,2,8,7,4,5,6]
[3,1,2,5,7,8,6,4]=>[3,1,2,6,5,8,7,4]
[7,3,1,5,4,6,2,8]=>[3,7,6,5,2,4,1,8]
[7,3,5,1,2,6,4,8]=>[5,1,7,6,3,2,4,8]
[3,7,1,2,8,5,6,4]=>[7,1,3,6,8,5,2,4]
[5,3,1,7,4,6,8,2]=>[3,5,8,7,2,4,6,1]
[5,3,7,1,2,6,8,4]=>[7,1,5,8,3,2,6,4]
[2,5,7,4,6,3,1,8]=>[3,2,6,7,5,4,1,8]
[7,4,8,3,5,6,1,2]=>[6,1,8,7,3,5,4,2]
[2,4,7,3,5,6,1,8]=>[6,2,7,4,3,5,1,8]
[5,7,6,4,2,3,1,8]=>[3,4,2,6,5,7,1,8]
[7,4,8,2,5,6,1,3]=>[6,8,1,7,2,5,4,3]
[7,5,8,4,6,2,1,3]=>[2,6,1,8,7,4,5,3]
[5,8,2,4,6,1,3,7]=>[6,8,1,2,5,4,3,7]
[6,1,4,8,5,2,7,3]=>[6,5,8,1,7,4,3,2]
[5,8,1,2,3,6,7,4]=>[8,1,2,7,5,3,6,4]
[5,6,8,4,7,2,1,3]=>[2,7,1,8,5,6,4,3]
[4,5,1,8,3,6,7,2]=>[5,7,8,4,1,3,6,2]
[3,4,5,8,1,6,7,2]=>[8,7,3,4,5,1,6,2]
[4,5,1,8,2,6,7,3]=>[5,8,7,4,1,2,6,3]
[5,8,1,2,4,6,7,3]=>[8,1,7,2,5,4,6,3]
[6,8,7,4,2,1,5,3]=>[2,4,7,5,3,6,8,1]
[4,3,2,7,8,6,1,5]=>[6,3,4,2,1,8,7,5]
[6,8,7,4,3,1,2,5]=>[3,1,4,7,2,6,8,5]
[5,6,8,4,7,3,1,2]=>[3,1,7,8,5,6,4,2]
[7,3,5,4,2,8,1,6]=>[8,4,5,7,2,1,3,6]
[7,5,2,4,3,8,1,6]=>[8,5,4,2,7,1,3,6]
[2,8,6,4,3,1,5,7]=>[3,2,4,6,1,8,5,7]
[8,1,7,4,3,2,5,6]=>[8,3,4,7,2,5,1,6]
[3,1,6,8,5,2,7,4]=>[3,5,1,8,7,6,4,2]
[2,3,8,1,5,6,4,7]=>[8,2,3,6,1,5,4,7]
[4,8,1,3,2,6,7,5]=>[8,3,1,4,7,2,6,5]
[5,4,8,1,2,6,7,3]=>[8,1,7,5,4,2,6,3]
[4,8,1,2,3,6,7,5]=>[8,1,2,4,7,3,6,5]
[4,1,5,8,2,6,7,3]=>[4,8,7,1,5,2,6,3]
[5,1,8,2,4,6,7,3]=>[5,8,7,2,1,4,6,3]
[3,5,1,8,2,6,7,4]=>[5,8,3,7,1,2,6,4]
[2,6,1,8,5,3,7,4]=>[6,2,5,8,7,1,4,3]
[3,8,1,2,4,6,7,5]=>[8,1,3,2,7,4,6,5]
[4,1,8,2,3,6,7,5]=>[4,8,2,1,7,3,6,5]
[5,2,3,8,1,7,4,6]=>[8,5,2,7,3,4,1,6]
[2,3,5,7,1,6,4,8]=>[7,2,3,6,5,1,4,8]
[1,5,3,8,2,4,6,7]=>[1,8,5,2,3,4,6,7]
[8,6,2,7,5,1,4,3]=>[5,7,4,2,6,8,1,3]
[8,6,2,5,3,7,4,1]=>[4,7,6,5,3,8,1,2]
[2,7,1,8,6,3,5,4]=>[7,2,6,5,3,8,1,4]
[5,7,6,1,3,2,8,4]=>[6,3,1,7,5,8,4,2]
[5,7,3,2,6,1,4,8]=>[6,3,7,1,5,2,4,8]
[8,1,7,5,3,6,4,2]=>[8,4,6,5,7,2,1,3]
[8,6,5,3,7,4,2,1]=>[2,4,7,5,6,8,1,3]
[3,5,4,6,1,7,8,2]=>[6,8,3,5,4,1,7,2]
[8,1,5,4,6,3,7,2]=>[8,7,6,5,1,4,3,2]
[2,7,1,5,6,4,3,8]=>[7,2,4,6,1,5,3,8]
[4,7,5,1,8,6,2,3]=>[5,7,1,4,6,8,2,3]
[8,4,6,3,1,7,2,5]=>[3,6,7,8,1,4,2,5]
[8,4,2,5,6,3,7,1]=>[7,4,8,6,3,5,2,1]
[8,6,2,7,5,4,3,1]=>[3,4,5,7,6,8,1,2]
[5,4,7,2,8,6,1,3]=>[6,8,2,5,4,7,1,3]
[3,5,6,4,1,7,2,8]=>[4,6,3,7,5,2,1,8]
[2,5,6,1,7,4,3,8]=>[6,2,4,7,5,1,3,8]
[2,7,1,8,6,5,4,3]=>[7,2,4,5,6,8,1,3]
[3,7,6,1,8,5,4,2]=>[6,4,3,5,7,8,2,1]
[6,2,8,3,1,4,5,7]=>[3,8,6,2,4,1,5,7]
[2,7,8,3,1,4,5,6]=>[3,2,8,1,4,5,7,6]
[1,7,8,5,3,2,6,4]=>[1,3,5,8,6,4,7,2]
[1,5,3,2,8,6,7,4]=>[1,3,5,7,2,8,6,4]
[1,8,5,3,2,6,7,4]=>[1,3,5,8,7,4,6,2]
[1,7,8,5,6,3,2,4]=>[1,3,6,2,8,5,7,4]
[1,8,5,6,3,2,7,4]=>[1,3,6,7,8,5,2,4]
[1,5,8,6,7,3,2,4]=>[1,3,7,2,5,8,6,4]
[1,5,6,7,3,2,8,4]=>[1,3,7,8,5,6,2,4]
[1,7,5,2,3,4,8,6]=>[1,5,2,3,7,8,4,6]
[1,7,5,2,4,8,6,3]=>[1,5,7,3,6,8,4,2]
[1,7,8,5,2,4,6,3]=>[1,5,8,3,6,4,7,2]
[1,8,5,2,4,6,7,3]=>[1,5,8,3,7,4,6,2]
[1,6,7,8,3,2,4,5]=>[1,3,8,2,4,6,7,5]
[1,4,8,6,2,3,5,7]=>[1,6,2,4,3,8,5,7]
[1,7,8,3,2,4,5,6]=>[1,3,8,2,4,5,7,6]
[1,4,5,8,6,7,2,3]=>[1,7,2,4,5,8,6,3]
[1,8,4,5,6,7,2,3]=>[1,7,2,8,4,5,6,3]
[1,2,8,6,7,4,3,5]=>[1,2,4,7,3,8,6,5]
[1,2,8,6,3,4,5,7]=>[1,2,6,3,4,8,5,7]
[1,2,8,6,3,5,7,4]=>[1,2,6,8,4,7,5,3]
[1,2,7,4,3,8,5,6]=>[1,2,4,7,8,5,3,6]
[1,2,7,8,4,3,5,6]=>[1,2,4,8,3,5,7,6]
[1,8,6,7,4,2,3,5]=>[1,4,2,7,3,8,6,5]
[1,6,7,8,4,2,3,5]=>[1,4,2,8,3,6,7,5]
[1,6,7,3,5,2,8,4]=>[1,5,7,8,3,6,2,4]
[1,6,7,8,3,4,2,5]=>[1,4,8,3,2,6,7,5]
[1,7,8,5,6,2,3,4]=>[1,6,2,3,8,5,7,4]
[1,8,6,2,3,5,7,4]=>[1,6,2,8,4,7,5,3]
[1,7,4,2,3,8,5,6]=>[1,4,2,7,8,5,3,6]
[1,7,8,4,2,3,5,6]=>[1,4,2,8,3,5,7,6]
[1,7,3,5,6,2,8,4]=>[1,6,7,8,3,5,2,4]
[1,7,8,3,4,2,5,6]=>[1,4,8,3,2,5,7,6]
[1,5,8,6,7,2,3,4]=>[1,7,2,3,5,8,6,4]
[1,2,3,7,8,5,4,6]=>[1,2,3,5,8,4,7,6]
[1,2,7,4,6,3,8,5]=>[1,2,6,7,8,4,3,5]
[1,2,8,6,7,3,4,5]=>[1,2,7,3,4,8,6,5]
[1,7,4,5,2,3,8,6]=>[1,5,2,7,4,8,3,6]
[1,7,8,4,5,2,3,6]=>[1,5,2,8,4,3,7,6]
[1,7,8,3,4,5,2,6]=>[1,5,8,3,4,2,7,6]
[1,2,8,4,5,6,3,7]=>[1,2,6,8,4,5,3,7]
[1,8,4,5,6,2,3,7]=>[1,6,2,8,4,5,3,7]
[8,2,5,6,3,4,1,7]=>[4,8,6,3,2,5,1,7]
[5,8,2,7,3,4,1,6]=>[4,8,7,3,5,1,2,6]
[6,8,7,2,3,4,1,5]=>[4,7,2,3,1,6,8,5]
[3,8,7,5,2,6,1,4]=>[6,5,3,1,7,2,8,4]
[8,2,3,6,4,5,1,7]=>[5,8,2,6,4,3,1,7]
[8,2,4,6,3,5,1,7]=>[5,8,6,2,3,4,1,7]
[3,4,2,7,8,5,1,6]=>[5,4,3,2,8,1,7,6]
[4,8,7,3,2,5,1,6]=>[5,3,7,4,2,1,8,6]
[5,8,4,2,6,7,3,1]=>[3,7,4,8,5,1,6,2]
[5,3,8,1,6,7,4,2]=>[8,4,7,5,2,1,6,3]
[5,2,8,1,6,4,7,3]=>[8,5,7,6,2,1,4,3]
[5,8,2,1,3,7,6,4]=>[2,8,1,6,5,7,3,4]
[8,3,4,1,2,6,5,7]=>[4,1,8,3,6,2,5,7]
[1,4,3,2,8,5,7,6]=>[1,3,4,2,8,7,5,6]
[5,1,8,2,6,4,7,3]=>[5,8,7,6,1,2,4,3]
[5,1,8,3,6,7,4,2]=>[5,4,7,8,1,2,6,3]
[5,2,8,3,6,7,4,1]=>[4,7,5,8,3,1,6,2]
[3,1,8,4,6,2,7,5]=>[3,6,1,8,7,4,2,5]
[8,4,1,6,5,2,3,7]=>[4,8,1,5,6,2,3,7]
[1,8,7,6,4,3,5,2]=>[1,5,4,6,3,7,8,2]
[3,1,4,7,5,8,2,6]=>[3,8,1,4,7,2,5,6]
[3,1,7,5,6,8,4,2]=>[3,4,1,8,7,5,6,2]
[6,1,8,7,5,3,4,2]=>[6,4,5,3,7,1,8,2]
[6,1,8,7,5,4,2,3]=>[6,4,2,5,7,1,8,3]
[8,3,5,6,1,4,2,7]=>[6,4,8,1,3,5,2,7]
[6,8,7,3,2,4,1,5]=>[4,3,7,2,1,6,8,5]
[2,3,7,5,6,8,4,1]=>[4,2,3,8,7,5,6,1]
[3,2,4,7,5,8,1,6]=>[8,3,2,4,7,1,5,6]
[2,8,7,6,5,3,1,4]=>[3,2,5,1,6,7,8,4]
[2,8,7,6,4,5,1,3]=>[5,2,1,6,4,7,8,3]
[3,8,7,6,4,1,5,2]=>[4,6,3,5,2,7,8,1]
[3,8,7,6,4,2,5,1]=>[5,4,3,6,2,7,8,1]
[1,3,4,7,5,2,8,6]=>[1,5,3,4,7,8,2,6]
[2,3,7,4,6,8,1,5]=>[8,2,3,7,1,4,6,5]
[4,8,7,6,2,5,1,3]=>[5,6,1,4,2,7,8,3]
[4,8,7,6,3,1,5,2]=>[3,6,5,4,2,7,8,1]
[3,5,2,4,7,6,8,1]=>[8,5,3,2,4,7,6,1]
[5,3,2,6,4,7,8,1]=>[8,3,5,6,2,4,7,1]
[5,3,2,6,7,4,8,1]=>[8,3,5,7,2,6,4,1]
[5,3,2,7,6,4,8,1]=>[8,3,5,6,2,7,4,1]
[7,3,5,2,8,4,6,1]=>[6,5,7,8,3,4,2,1]
[3,5,2,7,4,6,8,1]=>[8,5,3,7,2,4,6,1]
[3,2,5,7,4,6,8,1]=>[8,3,2,7,5,4,6,1]
[3,2,7,5,4,8,6,1]=>[6,3,2,5,8,7,1,4]
[3,7,5,2,4,8,6,1]=>[6,5,3,1,8,7,4,2]
[2,3,7,5,4,8,6,1]=>[6,2,3,5,8,7,1,4]
[8,3,5,1,6,4,7,2]=>[5,7,8,6,3,1,4,2]
[8,4,5,6,1,3,7,2]=>[6,7,1,8,4,5,3,2]
[3,4,7,6,8,2,5,1]=>[5,8,3,4,2,7,6,1]
[5,2,8,4,1,3,6,7]=>[4,8,2,5,1,3,6,7]
[3,8,5,2,1,4,6,7]=>[2,5,3,1,8,4,6,7]
[7,6,4,1,8,2,5,3]=>[4,6,7,5,2,8,3,1]
[7,5,4,2,1,6,3,8]=>[2,4,5,7,6,1,3,8]
[8,1,6,7,3,4,2,5]=>[8,4,7,3,2,1,6,5]
[8,2,1,6,7,4,3,5]=>[2,8,4,7,3,1,6,5]
[5,2,8,6,3,7,1,4]=>[7,5,6,1,2,8,3,4]
[7,6,8,1,2,5,4,3]=>[8,1,4,5,2,7,6,3]
[2,1,3,4,8,5,7,6]=>[2,1,3,4,8,7,5,6]
[5,7,1,2,6,8,3,4]=>[7,1,8,3,5,2,6,4]
[1,5,2,3,6,8,7,4]=>[1,5,2,7,3,6,8,4]
[3,7,4,5,2,8,1,6]=>[8,5,3,7,4,1,2,6]
[2,7,4,3,1,8,5,6]=>[3,2,4,7,8,5,1,6]
[3,5,7,4,1,8,2,6]=>[4,7,3,8,5,1,2,6]
[2,5,4,6,8,3,1,7]=>[3,2,8,5,4,6,1,7]
[8,3,6,4,1,2,5,7]=>[4,1,6,8,3,2,5,7]
[7,4,6,5,8,2,1,3]=>[2,8,1,7,6,4,5,3]
[8,6,4,7,5,1,2,3]=>[5,1,2,7,6,8,3,4]
[1,6,2,5,8,7,4,3]=>[1,6,4,7,2,5,8,3]
[3,7,4,5,6,2,8,1]=>[8,6,3,7,4,5,2,1]
[7,3,1,8,5,4,6,2]=>[3,7,6,5,8,4,2,1]
[8,4,3,1,6,5,2,7]=>[3,4,8,5,6,1,2,7]
[2,3,8,5,6,4,1,7]=>[4,2,3,6,8,5,1,7]
[2,7,4,8,6,1,3,5]=>[6,2,1,8,4,7,3,5]
[8,6,4,1,2,5,3,7]=>[4,1,6,5,3,8,2,7]
[2,8,4,3,1,6,5,7]=>[3,2,4,8,6,1,5,7]
[6,4,8,2,3,1,5,7]=>[3,8,2,6,1,4,5,7]
[3,8,4,6,1,5,2,7]=>[6,5,3,8,1,4,2,7]
[4,5,1,8,2,6,3,7]=>[5,8,6,4,1,2,3,7]
[6,1,8,4,3,2,7,5]=>[6,3,4,8,7,1,2,5]
[8,1,5,6,3,4,7,2]=>[8,7,6,3,1,5,4,2]
[8,6,2,5,4,7,1,3]=>[7,6,1,5,2,8,4,3]
[2,8,5,7,6,3,1,4]=>[3,2,6,1,7,8,4,5]
[8,5,3,1,7,6,4,2]=>[3,5,4,8,6,7,1,2]
[8,3,5,6,1,4,7,2]=>[6,7,8,1,3,5,4,2]
[4,5,8,3,6,2,7,1]=>[7,6,8,4,5,3,2,1]
[7,2,1,6,5,3,8,4]=>[2,7,5,6,8,1,4,3]
[5,6,4,1,7,8,2,3]=>[4,6,1,8,5,2,7,3]
[5,1,6,4,8,7,3,2]=>[5,3,7,6,1,4,8,2]
[2,4,6,7,5,1,8,3]=>[5,2,7,4,8,6,3,1]
[7,6,4,1,5,3,2,8]=>[4,3,6,5,2,7,1,8]
[6,8,7,4,1,5,3,2]=>[4,3,7,5,2,6,8,1]
[6,8,7,3,5,4,2,1]=>[2,4,5,7,1,6,8,3]
[3,1,2,8,5,7,4,6]=>[3,1,2,7,8,4,5,6]
[7,3,1,2,5,8,4,6]=>[3,1,7,8,2,4,5,6]
[8,3,5,7,2,1,4,6]=>[2,7,8,1,3,4,5,6]
[2,1,3,8,5,7,4,6]=>[2,1,3,7,8,4,5,6]
[7,3,1,2,8,4,5,6]=>[3,1,7,8,4,5,2,6]
[2,1,4,7,6,3,5,8]=>[2,1,6,4,3,7,5,8]
[7,2,4,5,3,8,1,6]=>[8,7,5,2,4,1,3,6]
[8,4,2,5,6,7,3,1]=>[3,7,4,8,1,5,6,2]
[5,4,1,6,3,7,8,2]=>[4,5,8,6,2,1,7,3]
[4,5,1,3,6,7,8,2]=>[5,8,1,4,3,6,7,2]
[5,1,7,6,3,4,8,2]=>[5,8,6,3,1,7,4,2]
[6,1,7,5,4,8,2,3]=>[6,8,2,5,7,1,4,3]
[3,7,2,1,6,8,4,5]=>[2,7,3,8,4,1,6,5]
[1,5,8,2,4,7,6,3]=>[1,8,6,2,5,7,4,3]
[5,8,1,6,4,7,3,2]=>[8,3,7,6,5,1,4,2]
[3,8,6,5,7,2,4,1]=>[4,7,3,2,6,8,5,1]
[6,8,1,4,7,3,5,2]=>[8,5,7,1,3,6,4,2]
[1,6,8,2,7,4,5,3]=>[1,8,5,7,4,6,2,3]
[5,7,2,1,8,4,3,6]=>[2,7,4,8,5,3,1,6]
[5,7,1,6,8,3,2,4]=>[7,3,8,2,5,1,6,4]
[5,6,2,1,8,3,4,7]=>[2,6,8,3,5,1,4,7]
[6,4,1,7,3,8,2,5]=>[4,6,8,7,3,2,1,5]
[8,2,5,6,7,1,4,3]=>[7,8,4,1,2,5,6,3]
[7,2,4,6,8,3,1,5]=>[3,8,7,1,2,4,6,5]
[6,2,4,7,8,1,3,5]=>[8,6,1,2,3,4,7,5]
[6,1,4,3,2,8,5,7]=>[6,3,4,1,8,2,5,7]
[2,7,4,8,6,1,5,3]=>[6,2,5,8,4,7,1,3]
[2,4,8,6,5,7,3,1]=>[3,2,7,4,6,8,5,1]
[3,7,8,6,4,2,5,1]=>[5,4,3,6,2,8,7,1]
[6,2,8,4,7,5,1,3]=>[5,7,2,6,8,4,1,3]
[4,5,7,3,6,8,1,2]=>[8,1,7,4,5,3,6,2]
[3,4,7,8,6,5,1,2]=>[5,1,3,4,6,8,7,2]
[1,4,7,2,6,8,5,3]=>[1,7,5,4,8,2,6,3]
[2,3,7,6,5,1,4,8]=>[5,2,3,1,6,7,4,8]
[3,2,7,6,4,1,5,8]=>[4,3,2,6,1,7,5,8]
[6,2,3,5,7,1,4,8]=>[7,6,2,1,3,5,4,8]
[7,8,1,2,5,6,4,3]=>[8,1,4,6,2,5,7,3]
[7,1,3,6,8,5,2,4]=>[7,5,1,2,8,3,6,4]
[4,2,8,5,1,6,3,7]=>[5,4,8,2,6,3,1,7]
[6,5,8,1,4,2,3,7]=>[8,4,2,1,6,5,3,7]
[3,8,2,4,5,1,6,7]=>[5,8,3,2,4,1,6,7]
[3,6,2,4,1,5,7,8]=>[4,6,3,2,1,5,7,8]
[2,3,8,4,1,6,5,7]=>[4,2,3,8,6,1,5,7]
[4,5,7,3,1,6,2,8]=>[3,7,6,4,5,2,1,8]
[2,3,1,4,8,5,7,6]=>[3,2,1,4,8,7,5,6]
[4,2,6,1,5,8,7,3]=>[6,4,7,2,1,5,8,3]
[7,5,1,8,4,3,6,2]=>[5,7,4,6,8,1,2,3]
[3,1,8,5,7,6,4,2]=>[3,4,1,6,7,8,2,5]
[5,1,8,7,4,6,3,2]=>[5,3,6,7,1,4,8,2]
[3,8,6,2,5,1,4,7]=>[5,6,3,1,2,8,4,7]
[6,8,7,2,5,1,4,3]=>[5,7,4,1,2,6,8,3]
[5,7,2,8,6,1,4,3]=>[6,8,4,2,5,7,1,3]
[6,4,8,7,5,1,3,2]=>[5,3,1,7,6,2,8,4]
[6,2,8,7,4,1,3,5]=>[4,7,2,6,3,1,8,5]
[6,2,5,8,7,1,4,3]=>[7,6,4,1,2,5,8,3]
[2,4,8,6,5,1,3,7]=>[5,2,1,4,6,8,3,7]
[2,4,8,7,5,1,3,6]=>[5,2,1,4,7,3,8,6]
[3,5,7,6,1,8,4,2]=>[6,4,3,7,5,8,2,1]
[3,5,7,6,2,8,4,1]=>[4,8,3,6,5,7,1,2]
[2,5,7,6,1,8,3,4]=>[6,2,7,1,5,8,3,4]
[5,1,4,7,3,8,6,2]=>[5,6,8,1,4,7,2,3]
[1,3,8,7,2,5,4,6]=>[1,7,3,5,2,4,8,6]
[1,5,6,2,8,7,4,3]=>[1,6,4,7,5,2,8,3]
[2,5,3,8,7,6,4,1]=>[4,2,6,5,1,7,8,3]
[1,5,3,2,8,7,6,4]=>[1,3,5,6,2,7,8,4]
[6,1,4,3,8,7,5,2]=>[6,5,4,1,7,3,8,2]
[6,2,4,1,8,7,5,3]=>[4,6,5,2,7,1,8,3]
[3,4,1,8,7,5,2,6]=>[4,5,3,1,7,2,8,6]
[4,5,2,8,7,6,3,1]=>[3,6,5,4,1,7,8,2]
[6,4,1,8,7,5,2,3]=>[4,6,1,5,7,2,8,3]
[6,3,1,8,7,4,2,5]=>[3,6,4,7,1,2,8,5]
[4,2,5,1,8,6,3,7]=>[5,4,6,2,1,8,3,7]
[3,6,2,8,1,7,4,5]=>[8,6,3,7,4,2,1,5]
[4,2,8,5,1,7,3,6]=>[5,4,8,2,7,1,3,6]
[5,3,6,2,8,7,4,1]=>[4,7,6,5,1,3,8,2]
[6,3,5,2,1,8,7,4]=>[2,5,6,7,3,1,8,4]
[6,2,5,1,4,8,7,3]=>[5,6,7,1,2,4,8,3]
[2,8,4,1,3,7,6,5]=>[4,2,1,8,6,7,3,5]
[4,8,7,1,3,6,5,2]=>[7,5,1,4,6,3,8,2]
[3,8,1,4,7,6,5,2]=>[8,5,3,1,6,7,4,2]
[4,2,7,3,8,6,5,1]=>[5,4,6,2,8,7,3,1]
[3,1,8,6,2,5,4,7]=>[3,6,1,5,2,8,4,7]
[2,7,1,8,3,6,5,4]=>[7,2,8,5,6,3,1,4]
[5,2,1,7,4,8,6,3]=>[2,5,6,8,1,7,3,4]
[5,1,2,8,6,4,3,7]=>[5,1,4,6,2,8,3,7]
[6,2,3,8,7,5,4,1]=>[4,5,2,7,6,3,8,1]
[5,2,3,8,7,6,4,1]=>[4,6,1,5,3,7,8,2]
[2,8,1,3,7,6,4,5]=>[8,2,1,6,4,7,3,5]
[4,1,3,5,8,7,6,2]=>[4,6,1,3,5,7,8,2]
[3,4,7,5,8,1,2,6]=>[8,1,3,4,7,2,5,6]
[2,7,8,3,4,1,5,6]=>[4,2,8,3,1,5,7,6]
[2,8,6,7,5,4,3,1]=>[3,2,4,5,7,8,6,1]
[7,2,6,8,1,4,3,5]=>[8,7,4,1,3,2,6,5]
[5,3,6,2,8,4,7,1]=>[7,6,5,8,3,2,4,1]
[8,1,6,3,7,4,5,2]=>[8,5,6,7,4,1,3,2]
[2,4,3,7,1,8,6,5]=>[7,2,4,3,6,8,1,5]
[2,6,5,7,3,8,4,1]=>[4,2,8,7,6,5,1,3]
[6,8,2,7,4,1,5,3]=>[4,7,8,5,2,6,3,1]
[6,1,7,8,5,3,2,4]=>[6,3,5,2,8,1,7,4]
[2,6,5,4,7,1,8,3]=>[7,2,8,5,6,4,1,3]
[5,8,3,4,6,1,7,2]=>[6,7,8,3,5,4,1,2]
[6,1,7,4,2,5,8,3]=>[6,4,7,8,3,1,5,2]
[6,8,7,1,5,4,2,3]=>[7,4,2,5,1,6,8,3]
[4,8,3,1,5,7,6,2]=>[3,8,6,4,2,7,5,1]
[5,3,8,2,7,1,6,4]=>[7,8,5,6,3,1,2,4]
[8,2,7,1,6,5,3,4]=>[7,8,5,3,6,1,2,4]
[5,3,4,8,2,7,1,6]=>[7,8,5,3,4,1,2,6]
[8,3,4,5,2,7,1,6]=>[7,5,8,3,4,1,2,6]
[6,3,4,7,1,5,2,8]=>[7,5,6,3,1,4,2,8]
[6,7,1,5,3,4,8,2]=>[7,8,5,3,1,6,4,2]
[6,5,3,4,7,1,8,2]=>[7,8,5,3,6,4,1,2]
[5,3,4,7,1,6,8,2]=>[7,8,5,3,4,1,6,2]
[7,1,5,3,4,6,8,2]=>[7,8,5,3,1,4,6,2]
[8,2,6,7,1,5,3,4]=>[7,8,5,3,1,2,6,4]
[8,3,4,7,1,5,2,6]=>[7,5,8,3,1,2,4,6]
[7,1,5,2,6,3,4,8]=>[7,5,6,3,1,2,4,8]
[3,7,1,5,2,6,8,4]=>[7,5,3,8,1,2,6,4]
[8,3,4,6,7,1,5,2]=>[7,5,8,3,1,4,6,2]
[7,1,6,8,3,4,5,2]=>[7,5,8,3,4,1,6,2]
[6,7,1,8,3,4,5,2]=>[7,5,8,3,4,6,1,2]
[8,7,1,6,3,4,5,2]=>[7,5,6,3,4,1,8,2]
[6,3,4,8,7,1,5,2]=>[7,5,6,3,1,4,8,2]
[3,8,7,1,5,2,6,4]=>[7,5,3,6,1,2,8,4]
[3,4,8,7,1,5,2,6]=>[7,5,3,4,1,2,8,6]
[3,6,5,2,8,7,1,4]=>[7,5,3,1,6,2,8,4]
[3,6,7,1,8,4,5,2]=>[7,5,3,8,4,6,1,2]
[3,7,1,6,8,4,5,2]=>[7,5,3,8,4,1,6,2]
[3,8,4,6,7,1,5,2]=>[7,5,3,8,1,4,6,2]
[3,8,5,2,6,7,1,4]=>[7,5,3,1,8,2,6,4]
[3,7,1,4,8,5,2,6]=>[7,5,3,1,8,2,4,6]
[3,6,5,2,7,1,4,8]=>[7,5,3,1,6,2,4,8]
[3,7,1,4,6,5,2,8]=>[7,5,3,1,6,4,2,8]
[3,7,1,8,4,6,5,2]=>[7,5,3,6,8,2,1,4]
[6,8,3,4,7,1,5,2]=>[7,5,8,3,1,6,4,2]
[3,6,4,7,1,5,2,8]=>[7,5,3,6,1,4,2,8]
[3,7,1,6,4,5,2,8]=>[7,5,3,6,4,1,2,8]
[3,8,4,5,2,7,1,6]=>[7,5,3,8,4,1,2,6]
[3,7,1,6,5,2,8,4]=>[7,5,3,6,8,1,4,2]
[7,1,6,5,2,8,3,4]=>[7,5,6,2,8,1,3,4]
[8,3,5,2,7,1,6,4]=>[7,5,8,6,3,1,2,4]
[7,1,8,4,6,3,5,2]=>[7,5,6,8,3,4,1,2]
[3,4,8,5,2,7,1,6]=>[7,5,3,4,8,1,2,6]
[3,4,7,1,6,5,2,8]=>[7,5,3,4,6,1,2,8]
[3,4,6,7,1,5,2,8]=>[7,5,3,4,1,6,2,8]
[7,1,5,2,8,6,3,4]=>[7,5,6,3,1,8,2,4]
[8,6,3,4,7,1,5,2]=>[7,5,6,3,1,8,4,2]
[3,7,1,6,4,8,5,2]=>[7,5,3,8,6,1,2,4]
[3,8,6,4,7,1,5,2]=>[7,5,3,6,1,8,4,2]
[3,7,1,4,8,6,5,2]=>[7,5,3,1,6,8,4,2]
[3,7,1,4,5,2,8,6]=>[7,5,3,1,4,8,2,6]
[3,6,7,1,4,5,2,8]=>[7,5,3,1,4,6,2,8]
[3,5,2,6,7,1,4,8]=>[7,5,3,1,2,6,4,8]
[3,5,2,8,6,7,1,4]=>[7,5,3,1,2,8,6,4]
[3,6,8,7,1,4,5,2]=>[7,5,3,1,4,6,8,2]
[3,5,2,6,8,7,1,4]=>[7,5,3,1,2,6,8,4]
[2,5,4,6,7,8,1,3]=>[8,2,1,5,4,6,7,3]
[2,3,7,6,5,8,1,4]=>[8,2,3,1,6,7,5,4]
[2,6,5,4,7,8,1,3]=>[8,2,1,5,6,4,7,3]
[3,5,7,6,8,2,1,4]=>[2,8,3,1,5,7,6,4]
[4,2,5,3,7,6,1,8]=>[6,4,5,2,3,7,1,8]
[6,2,4,3,7,5,1,8]=>[5,7,4,1,6,3,2,8]
[1,3,6,4,7,5,2,8]=>[1,5,3,7,6,2,4,8]
[8,2,5,3,6,4,1,7]=>[4,6,8,5,3,1,2,7]
[7,2,5,3,6,4,1,8]=>[4,6,7,5,3,1,2,8]
[6,2,5,3,7,4,1,8]=>[4,7,6,5,3,1,2,8]
[4,2,6,3,7,5,1,8]=>[5,4,7,2,6,1,3,8]
[5,2,7,3,6,4,1,8]=>[4,6,5,7,3,1,2,8]
[7,3,6,2,5,4,1,8]=>[4,5,6,7,3,1,2,8]
[6,3,8,2,5,4,1,7]=>[4,5,8,6,3,1,2,7]
[7,3,1,4,6,5,2,8]=>[3,7,5,2,6,4,1,8]
[8,3,7,2,5,4,1,6]=>[4,5,7,8,3,2,1,6]
[5,2,8,3,6,4,1,7]=>[4,6,5,8,3,1,2,7]
[3,2,8,4,6,5,1,7]=>[5,3,2,6,8,1,4,7]
[1,4,7,3,6,5,2,8]=>[1,5,6,4,7,2,3,8]
[8,2,5,4,1,6,3,7]=>[4,5,8,6,3,2,1,7]
[8,2,6,4,1,5,3,7]=>[4,6,8,5,2,3,1,7]
[1,4,8,3,7,5,2,6]=>[1,5,7,4,8,3,2,6]
[6,2,1,4,8,5,3,7]=>[2,6,5,1,8,4,3,7]
[5,2,1,4,8,6,3,7]=>[2,5,6,1,4,8,3,7]
[3,2,1,5,8,6,4,7]=>[2,3,1,6,5,8,4,7]
[4,2,8,3,7,5,1,6]=>[5,4,7,2,8,3,1,6]
[5,2,8,3,7,4,1,6]=>[4,7,5,8,3,2,1,6]
[8,3,7,2,6,4,1,5]=>[4,6,7,8,2,3,1,5]
[7,3,1,4,8,5,2,6]=>[3,7,5,2,8,1,4,6]
[1,3,7,4,8,5,2,6]=>[1,5,3,8,7,4,2,6]
[8,2,6,3,7,4,1,5]=>[4,7,8,6,2,3,1,5]
[7,2,6,3,8,4,1,5]=>[4,8,7,6,2,3,1,5]
[5,2,7,3,8,4,1,6]=>[4,8,5,7,3,2,1,6]
[3,2,7,4,8,5,1,6]=>[5,3,2,8,7,4,1,6]
[5,2,6,3,8,4,1,7]=>[4,8,5,6,3,1,2,7]
[6,2,5,3,8,4,1,7]=>[4,8,6,5,3,1,2,7]
[7,2,5,3,8,4,1,6]=>[4,8,7,5,3,2,1,6]
[8,2,5,3,7,4,1,6]=>[4,7,8,5,3,2,1,6]
[1,3,6,4,8,5,2,7]=>[1,5,3,8,6,2,4,7]
[1,3,5,4,8,6,2,7]=>[1,6,3,5,4,8,2,7]
[8,2,4,3,7,5,1,6]=>[5,7,4,1,8,2,3,6]
[7,2,4,3,8,5,1,6]=>[5,8,4,1,7,2,3,6]
[6,2,4,3,8,5,1,7]=>[5,8,4,1,6,3,2,7]
[5,2,4,3,8,6,1,7]=>[6,5,4,2,3,8,1,7]
[4,2,5,3,8,6,1,7]=>[6,4,5,2,3,8,1,7]
[4,2,5,3,1,7,6,8]=>[3,5,4,1,2,7,6,8]
[6,2,4,3,1,7,5,8]=>[3,4,6,1,7,2,5,8]
[7,2,4,3,1,6,5,8]=>[3,4,7,1,6,2,5,8]
[8,5,1,3,6,4,2,7]=>[5,4,2,8,6,3,1,7]
[8,4,1,3,6,5,2,7]=>[4,8,2,5,6,3,1,7]
[1,5,2,4,7,6,3,8]=>[1,5,6,2,4,7,3,8]
[7,2,5,3,1,6,4,8]=>[3,5,7,6,1,2,4,8]
[6,2,5,3,1,7,4,8]=>[3,5,6,7,1,2,4,8]
[4,2,6,3,1,7,5,8]=>[3,6,4,1,7,2,5,8]
[3,2,6,4,1,7,5,8]=>[4,3,2,6,7,1,5,8]
[3,2,7,4,1,6,5,8]=>[4,3,2,7,6,1,5,8]
[4,2,7,3,1,6,5,8]=>[3,7,4,1,6,2,5,8]
[5,2,7,3,1,6,4,8]=>[3,7,5,6,1,2,4,8]
[6,2,7,3,1,5,4,8]=>[3,7,6,5,2,1,4,8]
[7,2,6,3,1,5,4,8]=>[3,6,7,5,2,1,4,8]
[1,5,2,4,8,6,3,7]=>[1,5,6,2,4,8,3,7]
[8,4,1,3,7,5,2,6]=>[4,8,2,5,7,1,3,6]
[6,2,1,5,3,7,4,8]=>[2,6,5,7,1,3,4,8]
[3,2,1,6,4,7,5,8]=>[2,3,1,6,7,4,5,8]
[3,2,8,5,1,6,4,7]=>[5,3,2,8,6,4,1,7]
[6,2,8,4,1,5,3,7]=>[4,8,6,5,2,3,1,7]
[8,3,7,4,1,5,2,6]=>[4,7,5,8,2,3,1,6]
[7,1,3,2,5,6,4,8]=>[7,3,1,6,2,5,4,8]
[4,2,8,7,5,6,1,3]=>[6,4,1,2,7,5,8,3]
[2,8,1,7,4,5,6,3]=>[8,2,6,7,4,5,1,3]
[6,3,5,2,4,8,1,7]=>[8,5,6,2,3,4,1,7]
[1,5,2,8,7,4,3,6]=>[1,5,4,7,2,3,8,6]
[5,7,1,2,6,4,3,8]=>[7,1,4,6,5,2,3,8]
[1,8,2,5,7,4,3,6]=>[1,8,4,7,2,3,5,6]
[1,6,4,3,2,5,8,7]=>[1,3,4,6,2,5,8,7]
[2,5,6,7,1,4,3,8]=>[7,2,4,1,5,6,3,8]
[5,7,2,8,1,4,3,6]=>[8,7,4,1,5,3,2,6]
[5,8,2,7,1,4,3,6]=>[7,8,4,1,5,3,2,6]
[7,5,1,2,6,4,3,8]=>[5,1,4,7,6,3,2,8]
[5,2,1,6,8,4,3,7]=>[2,5,4,8,1,6,3,7]
[6,2,8,5,1,4,3,7]=>[5,8,4,2,6,1,3,7]
[7,8,1,6,3,2,4,5]=>[8,3,6,2,4,1,7,5]
[7,3,6,4,1,2,8,5]=>[4,1,6,7,8,2,3,5]
[2,3,7,8,4,1,5,6]=>[4,2,3,8,1,5,7,6]
[5,4,7,2,3,8,1,6]=>[8,7,2,5,4,1,3,6]
[4,8,3,1,5,2,7,6]=>[3,8,5,4,2,7,1,6]
[2,3,5,8,7,6,1,4]=>[6,2,3,1,5,7,8,4]
[7,3,5,1,4,6,2,8]=>[5,6,7,1,3,4,2,8]
[3,8,5,1,2,6,4,7]=>[5,1,3,8,6,4,2,7]
[5,2,1,8,6,4,3,7]=>[2,5,4,6,1,8,3,7]
[1,2,6,5,8,4,3,7]=>[1,2,4,8,6,5,3,7]
[5,1,7,2,6,4,3,8]=>[5,7,4,6,1,2,3,8]
[7,1,5,3,2,6,8,4]=>[7,3,5,8,1,2,6,4]
[3,1,5,7,8,6,2,4]=>[3,6,1,2,5,8,7,4]
[1,8,7,2,6,4,3,5]=>[1,7,4,6,3,2,8,5]
[6,2,3,5,8,7,4,1]=>[4,7,1,6,3,5,8,2]
[8,6,2,3,1,5,7,4]=>[3,6,2,8,4,7,5,1]
[7,3,5,2,1,4,8,6]=>[2,5,7,1,3,8,4,6]
[2,6,3,8,7,4,5,1]=>[5,2,6,7,4,3,8,1]
[6,4,5,8,7,3,2,1]=>[2,3,7,6,4,5,8,1]
[1,7,3,6,8,5,2,4]=>[1,5,8,3,7,2,6,4]
[1,8,5,2,4,7,3,6]=>[1,5,8,3,7,2,4,6]
[2,5,1,7,4,8,6,3]=>[5,2,6,8,1,7,3,4]
[8,6,7,3,5,2,1,4]=>[2,5,7,1,3,8,6,4]
[1,4,2,7,3,6,8,5]=>[1,4,7,2,8,3,6,5]
[3,2,1,7,8,5,4,6]=>[2,3,1,5,8,4,7,6]
[7,3,4,2,1,5,8,6]=>[2,4,7,3,1,8,5,6]
[8,6,2,3,7,4,1,5]=>[4,7,1,6,2,8,3,5]
[1,4,3,8,6,5,2,7]=>[1,5,4,3,6,8,2,7]
[1,4,7,5,3,8,6,2]=>[1,6,5,4,8,7,2,3]
[8,6,7,4,1,5,2,3]=>[4,7,1,5,2,8,6,3]
[6,8,5,2,1,3,7,4]=>[2,5,1,8,7,6,4,3]
[1,7,6,3,2,4,8,5]=>[1,3,6,2,7,8,5,4]
[2,7,8,6,4,1,5,3]=>[4,2,6,5,3,8,7,1]
[2,1,6,4,7,8,5,3]=>[2,1,5,8,6,3,7,4]
[1,6,3,2,4,7,8,5]=>[1,3,6,2,8,4,7,5]
[1,2,3,7,5,8,4,6]=>[1,2,3,8,7,4,5,6]
[1,8,5,3,2,4,7,6]=>[1,3,5,2,8,7,4,6]
[6,7,8,2,5,1,4,3]=>[5,8,4,1,2,6,7,3]
[7,4,8,6,2,3,5,1]=>[5,6,2,8,4,7,3,1]
[6,2,5,7,8,1,4,3]=>[8,6,4,1,2,5,7,3]
[2,4,5,8,6,1,3,7]=>[6,2,1,4,5,8,3,7]
[4,7,8,1,5,6,2,3]=>[8,6,2,4,1,5,7,3]
[3,6,7,1,8,4,2,5]=>[7,4,3,8,2,6,1,5]
[2,3,7,5,1,6,4,8]=>[5,2,3,7,6,4,1,8]
[2,6,3,5,1,8,4,7]=>[5,2,6,8,3,1,4,7]
[7,2,4,6,1,8,5,3]=>[6,7,5,2,8,4,1,3]
[1,3,7,6,2,4,5,8]=>[1,6,3,2,4,7,5,8]
[1,6,7,2,8,3,5,4]=>[1,7,8,5,3,6,2,4]
[2,7,3,8,4,5,6,1]=>[6,2,7,8,4,5,3,1]
[1,4,2,7,5,3,6,8]=>[1,4,5,2,7,3,6,8]
[1,3,8,2,7,4,5,6]=>[1,8,3,7,4,5,2,6]
[7,1,4,3,8,5,6,2]=>[7,6,4,1,8,5,3,2]
[3,4,1,8,5,7,2,6]=>[4,7,3,1,8,2,5,6]
[3,4,1,5,8,6,2,7]=>[4,6,3,1,5,8,2,7]
[5,6,2,7,8,3,4,1]=>[4,6,8,3,5,2,7,1]
[7,4,1,8,5,6,2,3]=>[4,7,1,6,8,5,2,3]
[7,2,5,8,1,6,3,4]=>[8,7,6,3,2,1,5,4]
[6,4,8,1,5,7,2,3]=>[8,7,2,6,1,4,5,3]
[5,8,4,2,6,3,7,1]=>[7,4,8,6,5,3,2,1]
[6,2,5,1,4,7,8,3]=>[5,6,8,1,2,4,7,3]
[2,7,4,1,3,6,8,5]=>[4,2,1,7,8,3,6,5]
[5,7,1,2,6,4,8,3]=>[7,1,8,6,5,2,4,3]
[5,1,8,2,3,7,6,4]=>[5,8,2,6,1,7,3,4]
[3,1,8,5,2,4,7,6]=>[3,5,1,2,8,7,4,6]
[5,2,1,8,4,6,7,3]=>[2,5,7,8,1,4,6,3]
[6,2,1,4,7,5,8,3]=>[2,6,8,1,7,4,5,3]
[2,8,1,3,7,4,6,5]=>[8,2,1,7,6,4,3,5]
[6,2,3,8,4,5,7,1]=>[7,6,2,8,4,3,5,1]
[2,6,1,3,4,8,7,5]=>[6,2,1,3,7,4,8,5]
[1,2,6,3,5,7,8,4]=>[1,2,6,8,3,5,7,4]
[1,2,8,4,6,3,5,7]=>[1,2,6,8,3,4,5,7]
[2,6,1,5,4,7,3,8]=>[6,2,7,5,1,4,3,8]
[1,2,8,5,4,6,3,7]=>[1,2,6,5,8,4,3,7]
[1,3,6,8,4,5,7,2]=>[1,7,3,8,4,6,5,2]
[1,2,8,4,6,3,7,5]=>[1,2,6,8,7,4,3,5]
[4,6,3,5,7,8,1,2]=>[8,1,6,4,3,5,7,2]
[2,7,6,5,1,4,8,3]=>[5,2,6,1,7,8,4,3]
[2,7,4,8,1,3,6,5]=>[8,2,1,7,6,3,4,5]
[2,3,6,8,4,1,7,5]=>[4,2,3,8,7,6,1,5]
[1,2,6,8,4,7,5,3]=>[1,2,5,7,8,6,3,4]
[1,7,2,8,6,3,5,4]=>[1,7,6,5,3,8,2,4]
[2,3,8,5,4,7,1,6]=>[7,2,3,5,8,1,4,6]
[1,2,8,4,7,3,5,6]=>[1,2,7,8,3,5,4,6]
[2,6,1,4,8,3,7,5]=>[6,2,8,1,7,4,3,5]
[3,7,6,5,2,1,4,8]=>[2,5,3,1,6,7,4,8]
[2,5,6,1,4,8,7,3]=>[6,2,7,1,5,4,8,3]
[2,3,5,8,7,1,6,4]=>[7,2,3,6,5,1,8,4]
[8,4,2,3,7,1,6,5]=>[7,4,2,8,6,1,3,5]
[5,2,4,8,7,3,1,6]=>[3,7,5,1,4,2,8,6]
[3,5,7,6,1,8,2,4]=>[6,7,3,1,5,8,2,4]
[8,3,2,6,7,4,1,5]=>[4,3,7,8,2,1,6,5]
[6,5,7,3,1,2,8,4]=>[3,1,7,8,6,5,2,4]
[3,8,2,4,1,7,6,5]=>[4,8,3,2,6,7,1,5]
[3,5,8,2,6,7,1,4]=>[7,8,3,1,5,2,6,4]
[6,5,7,1,2,8,4,3]=>[7,1,4,8,6,5,2,3]
[3,2,4,6,7,8,1,5]=>[8,3,2,4,1,6,7,5]
[3,7,2,4,1,5,6,8]=>[4,7,3,2,1,5,6,8]
[3,2,4,6,7,1,5,8]=>[7,3,2,4,1,6,5,8]
[5,7,6,1,2,8,4,3]=>[6,1,4,7,5,8,3,2]
[6,5,1,2,7,4,3,8]=>[5,1,4,6,7,3,2,8]
[5,2,6,8,1,3,7,4]=>[8,5,1,7,2,6,3,4]
[4,8,1,6,3,7,5,2]=>[8,5,7,4,6,1,2,3]
[2,4,7,3,5,1,8,6]=>[5,2,7,4,3,8,1,6]
[7,1,5,2,6,4,3,8]=>[7,5,4,6,1,2,3,8]
[8,3,5,2,6,1,4,7]=>[6,5,8,1,3,2,4,7]
[5,6,1,3,8,7,4,2]=>[6,4,1,7,5,3,8,2]
[1,8,5,6,2,7,4,3]=>[1,6,4,7,8,5,2,3]
[8,3,5,2,6,7,1,4]=>[7,5,8,1,3,2,6,4]
[8,3,2,4,6,7,1,5]=>[7,3,8,2,1,4,6,5]
[3,7,2,4,6,1,5,8]=>[6,7,3,2,1,4,5,8]
[3,2,4,7,1,5,6,8]=>[7,3,2,4,1,5,6,8]
[3,8,2,4,1,5,6,7]=>[4,8,3,2,1,5,6,7]
[8,3,5,7,2,6,1,4]=>[6,7,8,1,3,2,5,4]
[4,2,7,6,1,8,5,3]=>[6,4,5,2,7,8,3,1]
[7,3,2,1,6,8,5,4]=>[2,3,7,5,8,1,6,4]
[7,2,4,8,6,3,5,1]=>[5,7,6,2,3,8,4,1]
[7,3,2,1,8,5,4,6]=>[2,3,7,5,8,4,1,6]
[7,3,2,1,6,4,8,5]=>[2,3,7,6,8,1,4,5]
[3,5,2,1,8,4,7,6]=>[2,5,3,8,1,7,4,6]
[3,6,5,2,1,8,4,7]=>[2,5,3,6,8,4,1,7]
[6,3,8,4,2,5,1,7]=>[5,4,8,6,3,2,1,7]
[6,7,2,4,3,5,8,1]=>[8,7,4,2,3,6,5,1]
[3,6,7,4,2,5,1,8]=>[5,4,3,7,2,6,1,8]
[6,4,7,3,2,1,5,8]=>[2,3,7,6,1,4,5,8]
[5,3,6,2,1,7,4,8]=>[2,6,5,7,3,1,4,8]
[3,2,6,5,1,7,4,8]=>[5,3,2,6,7,4,1,8]
[4,3,2,7,1,6,5,8]=>[7,3,4,2,6,1,5,8]
[4,5,3,7,2,1,6,8]=>[2,7,5,4,3,1,6,8]
[4,3,8,2,1,5,7,6]=>[2,8,4,3,1,7,5,6]
[4,3,2,8,1,6,7,5]=>[8,3,4,2,7,1,6,5]
[4,5,8,3,2,7,1,6]=>[7,3,8,4,5,1,2,6]
[5,8,3,4,7,2,1,6]=>[2,7,8,3,5,1,4,6]
[6,8,5,2,7,3,4,1]=>[4,5,8,2,7,6,3,1]
[2,5,4,6,1,8,7,3]=>[6,2,7,5,4,1,8,3]
[5,3,6,2,1,7,8,4]=>[2,6,5,8,3,1,7,4]
[6,4,7,3,2,8,1,5]=>[8,3,7,6,1,4,2,5]
[3,6,7,4,8,2,1,5]=>[2,8,3,7,1,6,4,5]
[6,7,2,4,8,3,5,1]=>[5,7,8,2,3,6,4,1]
[5,4,7,8,2,3,6,1]=>[6,8,2,5,4,3,7,1]
[4,3,8,2,1,6,7,5]=>[2,8,4,3,7,1,6,5]
[4,3,2,8,1,5,7,6]=>[8,3,4,2,1,7,5,6]
[4,5,3,2,6,8,1,7]=>[8,3,5,4,2,6,1,7]
[3,6,7,4,5,2,8,1]=>[8,5,3,7,4,6,2,1]
[3,4,7,5,6,2,8,1]=>[8,6,3,4,7,5,2,1]
[3,5,7,4,6,2,8,1]=>[8,6,3,7,5,4,2,1]
[4,5,2,3,7,6,8,1]=>[8,5,2,4,3,7,6,1]
[6,3,5,1,7,8,4,2]=>[5,4,8,6,2,1,7,3]
[5,3,7,6,2,4,8,1]=>[8,6,5,2,3,7,4,1]
[5,2,7,6,3,4,8,1]=>[8,5,6,3,2,7,4,1]
[5,2,7,6,4,3,8,1]=>[8,5,4,6,2,7,3,1]
[4,6,7,2,5,3,8,1]=>[8,7,5,4,2,6,3,1]
[4,6,7,3,5,2,8,1]=>[8,5,7,4,3,6,2,1]
[5,3,7,6,4,2,8,1]=>[8,4,6,5,2,7,3,1]
[6,4,7,8,3,1,5,2]=>[3,8,5,6,2,4,7,1]
[8,4,7,3,1,5,6,2]=>[3,7,6,8,2,5,4,1]
[7,4,8,6,2,5,1,3]=>[5,6,1,8,4,7,2,3]
[6,4,7,8,1,3,5,2]=>[8,5,1,6,3,4,7,2]
[6,3,1,5,7,8,4,2]=>[3,6,4,8,2,5,7,1]
[5,6,7,3,8,1,4,2]=>[8,4,7,1,5,6,3,2]
[8,4,1,7,2,5,6,3]=>[4,8,7,6,3,5,2,1]
[5,8,1,7,6,4,2,3]=>[8,4,2,6,5,7,1,3]
[2,6,7,8,5,4,1,3]=>[4,2,1,5,8,6,7,3]
[1,6,7,8,5,4,2,3]=>[1,4,2,5,8,6,7,3]
[5,6,7,1,8,3,4,2]=>[7,4,8,3,5,6,1,2]
[6,1,7,8,3,4,5,2]=>[6,5,8,3,4,1,7,2]
[7,1,8,6,2,5,4,3]=>[7,6,4,5,2,8,1,3]
[8,2,1,6,4,5,7,3]=>[2,8,7,6,4,1,5,3]
[8,5,1,7,6,4,2,3]=>[5,4,1,8,6,7,2,3]
[1,5,8,2,6,4,7,3]=>[1,8,7,6,5,2,4,3]
[6,1,5,3,7,8,4,2]=>[6,4,8,5,1,2,7,3]
[1,5,7,4,6,8,3,2]=>[1,3,8,7,5,4,6,2]
[1,4,7,5,6,8,3,2]=>[1,3,8,4,7,5,6,2]
[1,6,7,4,5,8,3,2]=>[1,3,8,7,4,6,5,2]
[5,6,7,4,8,1,3,2]=>[8,3,1,7,5,6,4,2]
[6,4,7,5,8,1,3,2]=>[8,3,1,6,7,4,5,2]
[7,5,2,1,8,4,6,3]=>[2,5,7,6,8,1,3,4]
[8,5,2,7,6,4,1,3]=>[4,6,1,5,7,8,2,3]
[8,1,2,6,4,5,7,3]=>[8,1,7,6,4,2,5,3]
[4,8,1,7,2,5,6,3]=>[8,7,6,4,2,5,1,3]
[2,6,7,1,5,4,8,3]=>[7,2,8,5,1,6,4,3]
[7,2,1,5,6,4,8,3]=>[2,7,8,6,1,5,4,3]
[2,8,1,6,4,5,7,3]=>[8,2,7,6,4,1,5,3]
[8,2,7,6,5,3,1,4]=>[3,5,6,2,7,8,1,4]
[8,3,7,6,5,1,2,4]=>[5,1,6,2,7,8,3,4]
[1,8,2,6,4,5,7,3]=>[1,8,7,6,4,2,5,3]
[7,1,2,5,6,4,8,3]=>[7,1,8,6,2,5,4,3]
[1,6,7,2,5,4,8,3]=>[1,7,8,5,2,6,4,3]
[3,2,7,6,5,8,1,4]=>[8,3,2,1,6,7,5,4]
[1,3,7,6,5,2,8,4]=>[1,5,3,6,7,8,2,4]
[8,3,7,6,5,2,1,4]=>[2,5,6,1,7,8,3,4]
[1,7,3,4,5,8,2,6]=>[1,8,7,3,4,2,5,6]
[7,1,8,4,5,6,3,2]=>[7,3,6,8,4,5,1,2]
[1,2,7,4,5,8,3,6]=>[1,2,8,7,4,3,5,6]
[6,7,3,2,5,8,1,4]=>[8,3,7,1,2,6,5,4]
[6,1,8,4,5,3,7,2]=>[6,7,5,8,4,1,3,2]
[4,6,2,5,1,8,7,3]=>[5,6,7,4,2,1,8,3]
[5,1,4,6,2,8,7,3]=>[5,6,7,1,4,2,8,3]
[7,5,2,4,6,8,1,3]=>[8,5,1,2,7,4,6,3]
[7,3,5,2,1,6,8,4]=>[2,5,7,8,3,1,6,4]
[8,5,1,2,6,3,7,4]=>[5,1,8,6,7,3,4,2]
[2,5,6,3,8,1,7,4]=>[8,2,6,7,5,3,1,4]
[1,5,6,3,8,7,4,2]=>[1,4,7,6,5,2,8,3]
[6,7,1,3,8,2,5,4]=>[7,8,1,5,2,6,3,4]
[7,6,5,2,1,4,8,3]=>[2,5,6,1,7,8,4,3]
[1,5,8,7,4,6,3,2]=>[1,3,6,7,5,4,8,2]
[5,7,2,1,3,6,8,4]=>[2,7,1,8,5,3,6,4]
[2,8,7,5,3,6,1,4]=>[6,2,5,1,7,3,8,4]
[2,7,6,3,8,1,5,4]=>[8,2,6,5,1,7,3,4]
[3,4,2,6,1,7,8,5]=>[6,4,3,2,8,1,7,5]
[3,7,2,6,8,1,5,4]=>[8,7,3,5,1,2,6,4]
[7,4,8,6,5,1,3,2]=>[5,3,1,6,8,7,4,2]
[1,6,5,3,7,4,8,2]=>[1,8,5,6,7,4,3,2]
[2,7,6,8,5,1,4,3]=>[5,2,4,1,8,7,6,3]
[1,6,4,5,7,3,8,2]=>[1,8,7,6,4,5,3,2]
[1,5,4,7,8,6,2,3]=>[1,6,2,5,4,8,7,3]
[7,3,1,6,8,2,5,4]=>[3,7,8,5,1,2,6,4]
[7,1,6,8,5,2,4,3]=>[7,5,4,2,8,1,6,3]
[3,5,8,7,6,4,1,2]=>[4,1,3,6,5,7,8,2]
[7,1,5,8,6,2,4,3]=>[7,6,4,2,1,8,5,3]
[1,5,7,8,6,2,4,3]=>[1,6,4,2,5,8,7,3]
[2,7,5,8,6,1,4,3]=>[6,2,4,1,8,7,3,5]
[4,3,6,2,1,7,8,5]=>[2,6,4,3,8,1,7,5]
[1,6,4,7,3,5,8,2]=>[1,8,7,6,3,4,5,2]
[4,6,2,3,1,7,8,5]=>[3,6,2,4,8,1,7,5]
[3,6,2,1,4,7,8,5]=>[2,6,3,1,8,4,7,5]
[6,8,2,7,5,4,3,1]=>[3,4,5,7,8,6,1,2]
[5,8,1,7,6,4,3,2]=>[8,3,4,6,5,7,1,2]
[8,6,3,2,1,5,4,7]=>[2,3,6,5,1,8,4,7]
[8,5,3,2,4,1,7,6]=>[4,3,5,2,8,7,1,6]
[7,5,2,4,3,6,8,1]=>[8,5,4,2,7,3,6,1]
[8,5,1,4,6,3,2,7]=>[5,3,8,2,6,4,1,7]
[8,5,1,6,3,4,2,7]=>[5,4,8,1,6,3,2,7]
[8,4,3,6,1,5,2,7]=>[6,5,4,8,1,3,2,7]
[8,4,3,5,2,1,7,6]=>[2,5,4,8,3,7,1,6]
[6,4,3,2,8,7,1,5]=>[7,3,4,6,1,2,8,5]
[8,5,1,4,3,7,2,6]=>[5,8,4,2,7,1,3,6]
[8,5,4,2,1,3,7,6]=>[2,4,1,5,8,7,3,6]
[4,7,3,6,1,8,5,2]=>[6,5,8,4,7,2,1,3]
[7,6,2,4,1,5,8,3]=>[4,6,7,3,1,8,5,2]
[8,1,6,3,7,4,2,5]=>[8,4,7,6,3,1,2,5]
[5,3,8,2,6,7,1,4]=>[7,8,5,1,3,2,6,4]
[8,2,5,1,7,6,3,4]=>[5,8,6,3,2,7,1,4]
[8,2,4,6,3,7,1,5]=>[7,8,6,2,1,4,3,5]
[7,2,6,4,3,5,8,1]=>[8,7,4,6,3,2,5,1]
[7,3,6,2,4,5,8,1]=>[8,6,7,2,4,3,5,1]
[8,3,7,2,1,4,6,5]=>[2,7,8,1,6,4,3,5]
[7,6,4,1,3,2,8,5]=>[4,3,1,6,7,8,5,2]
[7,3,8,2,1,5,6,4]=>[2,8,7,6,1,5,3,4]
[6,2,5,7,4,3,8,1]=>[8,6,4,7,2,5,3,1]
[6,2,5,4,8,7,1,3]=>[7,6,1,5,2,4,8,3]
[7,2,4,8,5,1,6,3]=>[5,8,7,3,6,2,4,1]
[4,2,7,6,8,5,1,3]=>[5,4,1,2,8,7,6,3]
[7,1,6,2,8,5,4,3]=>[7,6,4,5,8,1,2,3]
[7,1,6,3,8,5,2,4]=>[7,5,8,3,6,1,2,4]
[7,2,6,8,1,3,5,4]=>[8,7,1,5,3,2,6,4]
[7,2,8,5,1,3,6,4]=>[5,8,2,7,6,3,4,1]
[7,1,8,5,3,2,6,4]=>[7,3,5,8,6,4,1,2]
[7,1,8,2,5,6,4,3]=>[7,8,4,6,2,5,1,3]
[6,1,5,8,7,2,4,3]=>[6,7,4,2,1,5,8,3]
[6,1,5,7,4,8,3,2]=>[6,3,8,7,1,5,4,2]
[6,1,5,7,8,3,4,2]=>[6,4,8,3,1,5,7,2]
[4,6,7,3,1,8,5,2]=>[3,7,5,4,8,6,2,1]
[4,2,6,3,1,8,7,5]=>[3,6,4,1,7,2,8,5]
[6,1,4,2,5,8,7,3]=>[6,4,7,1,2,5,8,3]
[1,5,3,8,4,6,2,7]=>[1,6,5,8,3,4,2,7]
[7,2,3,5,8,4,1,6]=>[4,8,1,7,3,2,5,6]
[7,6,4,2,8,5,1,3]=>[5,4,2,8,6,7,1,3]
[1,7,6,4,8,5,3,2]=>[1,3,5,8,6,7,2,4]
[8,7,4,2,1,5,6,3]=>[2,4,7,6,3,5,8,1]
[8,2,3,5,1,4,6,7]=>[5,8,2,1,3,4,6,7]
[8,7,4,1,3,2,6,5]=>[4,3,1,7,6,2,8,5]
[7,1,4,8,3,6,2,5]=>[7,6,8,1,2,3,4,5]
[4,1,8,5,7,6,2,3]=>[4,6,2,1,7,8,3,5]
[3,7,5,8,4,2,1,6]=>[2,4,3,8,7,1,5,6]
[6,1,5,8,3,4,2,7]=>[6,4,8,3,1,5,2,7]
[6,7,5,1,3,2,4,8]=>[5,3,1,2,7,6,4,8]
[5,2,6,1,7,3,4,8]=>[6,5,7,3,2,1,4,8]
[4,2,6,8,3,7,1,5]=>[7,4,8,2,1,6,3,5]
[6,8,5,1,4,2,3,7]=>[5,4,2,1,8,6,3,7]
[7,8,4,5,1,3,6,2]=>[5,6,1,8,4,3,7,2]
[1,7,8,5,3,4,6,2]=>[1,6,5,3,8,4,7,2]
[1,5,8,3,6,4,7,2]=>[1,7,8,6,5,3,4,2]
[6,3,8,1,4,2,7,5]=>[8,4,6,1,7,3,2,5]
[4,8,1,5,6,3,7,2]=>[8,7,6,4,1,5,3,2]
[1,8,2,6,5,3,7,4]=>[1,8,5,6,7,2,4,3]
[3,8,1,7,2,6,5,4]=>[8,7,3,5,6,2,1,4]
[7,3,8,1,2,6,5,4]=>[8,1,7,5,6,2,3,4]
[8,1,4,2,3,5,7,6]=>[8,4,2,1,3,7,5,6]
[8,1,2,4,6,5,7,3]=>[8,1,7,2,6,4,5,3]
[6,2,8,3,5,4,7,1]=>[7,6,8,5,3,2,4,1]
[6,1,8,2,5,4,7,3]=>[6,8,7,5,2,1,4,3]
[8,3,7,2,5,4,6,1]=>[6,7,8,5,2,4,3,1]
[5,1,8,3,7,4,6,2]=>[5,6,8,7,1,4,3,2]
[8,3,7,1,5,4,6,2]=>[7,6,8,5,1,4,3,2]
[8,4,7,1,5,3,6,2]=>[7,6,5,8,1,3,4,2]
[8,2,7,3,5,1,6,4]=>[5,8,7,6,3,1,2,4]
[7,2,5,3,4,6,1,8]=>[6,7,5,3,2,4,1,8]
[7,4,3,1,6,2,5,8]=>[3,4,7,6,2,1,5,8]
[7,6,4,2,5,3,1,8]=>[3,5,4,6,1,7,2,8]
[5,8,4,3,6,2,7,1]=>[7,6,4,8,5,3,2,1]
[3,8,4,6,2,5,7,1]=>[7,6,3,8,2,4,5,1]
[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]
[7,5,1,6,3,2,4,8]=>[5,3,7,1,6,2,4,8]
[7,1,2,6,3,4,5,8]=>[7,1,6,3,4,2,5,8]
[7,2,5,1,6,3,4,8]=>[5,7,6,3,2,1,4,8]
[7,3,1,4,6,2,5,8]=>[3,7,6,2,1,4,5,8]
[7,1,6,5,4,2,3,8]=>[7,4,2,5,6,1,3,8]
[5,8,4,3,1,7,2,6]=>[3,4,8,7,5,2,1,6]
[2,1,7,6,3,5,8,4]=>[2,1,6,7,4,8,5,3]
[3,6,8,5,2,4,7,1]=>[7,5,3,2,8,6,4,1]
[5,7,8,4,3,2,6,1]=>[6,3,4,8,5,2,7,1]
[1,4,8,6,5,7,3,2]=>[1,3,7,4,6,8,5,2]
[1,3,8,4,7,2,6,5]=>[1,7,3,8,6,2,4,5]
[2,5,8,3,4,7,1,6]=>[7,2,8,3,5,1,4,6]
[5,4,2,8,3,7,1,6]=>[7,4,5,8,3,1,2,6]
[5,3,1,7,6,8,4,2]=>[3,5,4,8,2,7,6,1]
[4,2,7,1,5,8,6,3]=>[7,4,6,2,1,8,5,3]
[6,1,7,4,3,8,5,2]=>[6,5,4,8,7,1,2,3]
[1,3,7,4,8,5,6,2]=>[1,6,3,7,8,5,4,2]
[3,2,1,4,5,8,6,7]=>[2,3,1,4,5,8,6,7]
[6,7,1,3,2,8,5,4]=>[7,3,1,5,8,6,2,4]
[3,7,2,1,6,8,5,4]=>[2,7,3,5,8,1,6,4]
[1,5,3,2,6,8,4,7]=>[1,3,5,8,2,6,4,7]
[5,4,3,1,7,2,8,6]=>[3,4,5,7,1,8,2,6]
[5,1,4,2,3,6,8,7]=>[5,4,2,1,3,6,8,7]
[3,7,6,5,8,2,4,1]=>[4,8,3,2,6,7,5,1]
[5,7,4,2,8,6,1,3]=>[6,4,2,8,5,7,1,3]
[5,4,3,7,8,2,6,1]=>[6,8,4,5,3,2,7,1]
[2,3,7,8,6,1,4,5]=>[6,2,3,1,4,8,7,5]
[3,8,5,7,6,2,4,1]=>[4,6,3,2,7,8,1,5]
[1,3,6,8,7,2,5,4]=>[1,7,3,5,2,6,8,4]
[5,4,1,6,8,7,3,2]=>[4,3,5,7,2,6,8,1]
[5,7,8,6,2,4,3,1]=>[3,4,6,1,5,8,7,2]
[1,8,7,2,4,3,5,6]=>[1,7,4,2,3,5,8,6]
[6,2,5,1,4,7,3,8]=>[5,6,7,1,2,4,3,8]
[5,8,7,1,4,2,3,6]=>[7,4,2,1,5,3,8,6]
[7,5,2,4,1,8,6,3]=>[4,5,7,3,6,8,1,2]
[2,6,3,7,1,4,5,8]=>[7,2,6,1,4,3,5,8]
[8,2,3,5,4,1,6,7]=>[4,5,1,8,3,2,6,7]
[6,5,1,2,4,7,8,3]=>[5,1,6,3,8,4,7,2]
[6,1,3,7,8,2,4,5]=>[6,8,1,2,4,3,7,5]
[1,6,3,8,2,4,5,7]=>[1,8,6,2,4,3,5,7]
[7,6,4,3,5,1,8,2]=>[5,8,4,6,3,7,1,2]
[7,6,8,4,3,1,5,2]=>[3,4,8,5,1,7,6,2]
[3,8,6,1,4,2,5,7]=>[6,4,3,1,2,8,5,7]
[7,6,5,3,8,1,4,2]=>[8,4,5,1,6,7,3,2]
[1,7,6,5,3,2,4,8]=>[1,3,5,2,6,7,4,8]
[2,7,6,5,4,1,3,8]=>[4,2,1,5,6,7,3,8]
[2,8,6,4,5,1,3,7]=>[5,2,1,6,4,8,3,7]
[7,6,8,5,3,1,4,2]=>[3,5,4,2,8,7,6,1]
[8,4,2,1,6,7,3,5]=>[2,4,8,7,1,3,6,5]
[8,1,3,5,4,6,7,2]=>[8,7,1,5,3,4,6,2]
[3,8,2,5,4,6,1,7]=>[6,8,3,5,2,4,1,7]
[5,2,3,6,4,1,7,8]=>[4,6,1,5,3,2,7,8]
[8,1,2,6,7,3,4,5]=>[8,1,7,3,4,2,6,5]
[6,2,3,5,8,4,1,7]=>[4,8,1,6,3,5,2,7]
[3,7,6,8,4,1,5,2]=>[4,8,3,5,2,7,6,1]
[4,7,6,1,5,8,3,2]=>[6,3,7,4,2,8,5,1]
[1,5,6,8,2,4,3,7]=>[1,8,4,2,5,6,3,7]
[7,1,6,5,3,8,2,4]=>[7,8,5,2,6,1,3,4]
[1,7,6,4,2,5,8,3]=>[1,4,6,7,2,8,5,3]
[7,6,4,1,5,3,8,2]=>[4,6,7,5,3,8,1,2]
[6,8,7,1,5,4,3,2]=>[7,3,4,5,1,6,8,2]
[7,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,7,4]
[8,7,4,6,5,1,3,2]=>[5,3,1,6,7,2,8,4]
[2,5,3,6,4,8,7,1]=>[7,2,5,6,3,4,8,1]
[2,5,3,7,4,8,6,1]=>[6,2,5,8,3,7,1,4]
[4,6,3,5,7,2,1,8]=>[2,7,6,4,3,5,1,8]
[4,3,7,2,1,8,5,6]=>[2,7,4,3,8,5,1,6]
[1,7,4,3,2,8,5,6]=>[1,3,4,7,8,5,2,6]
[7,4,6,3,5,8,1,2]=>[8,1,6,7,3,4,5,2]
[7,2,6,1,5,8,3,4]=>[6,7,8,3,1,2,5,4]
[7,2,6,1,8,5,4,3]=>[6,7,4,5,8,2,1,3]
[4,7,3,8,6,2,5,1]=>[5,6,8,4,3,7,2,1]
[4,7,3,6,8,2,1,5]=>[2,8,7,4,1,3,6,5]
[5,4,7,3,8,2,1,6]=>[2,8,7,5,4,1,3,6]
[8,3,7,2,4,6,5,1]=>[5,6,7,3,8,4,1,2]
[7,3,6,4,2,5,1,8]=>[5,4,6,7,3,2,1,8]
[8,7,2,4,6,3,5,1]=>[5,7,6,2,3,4,8,1]
[1,3,6,8,5,7,4,2]=>[1,4,3,7,8,6,5,2]
[6,3,5,8,2,4,1,7]=>[4,8,6,2,3,5,1,7]
[1,6,4,8,3,7,2,5]=>[1,7,8,6,2,4,3,5]
[7,3,6,2,8,5,4,1]=>[4,5,8,6,7,2,1,3]
[7,4,6,8,3,5,2,1]=>[2,5,8,7,3,4,6,1]
[4,3,5,7,2,6,1,8]=>[6,7,4,3,5,2,1,8]
[5,4,6,8,3,7,2,1]=>[2,7,8,5,4,6,3,1]
[1,7,2,8,5,4,3,6]=>[1,7,4,5,8,3,2,6]
[5,4,8,3,6,2,1,7]=>[2,6,8,5,4,3,1,7]
[1,3,8,5,7,4,6,2]=>[1,6,3,7,8,4,5,2]
[6,8,2,5,7,1,4,3]=>[7,8,4,1,2,6,5,3]
[5,7,2,4,6,1,3,8]=>[6,7,1,2,5,4,3,8]
[3,7,5,2,6,4,1,8]=>[4,6,3,5,7,1,2,8]
[3,8,6,2,7,5,1,4]=>[5,7,3,2,6,8,1,4]
[5,8,4,2,7,3,6,1]=>[6,4,8,7,5,2,3,1]
[1,8,6,3,5,2,4,7]=>[1,5,6,2,3,8,4,7]
[8,4,2,7,3,1,6,5]=>[3,7,4,8,6,2,1,5]
[7,4,2,6,3,1,5,8]=>[3,6,4,7,2,1,5,8]
[8,2,7,3,4,5,1,6]=>[5,8,7,3,4,1,2,6]
[8,1,5,2,4,6,3,7]=>[8,5,6,2,1,4,3,7]
[6,1,5,7,2,3,8,4]=>[6,7,2,8,1,5,3,4]
[8,6,1,3,4,5,7,2]=>[6,8,2,3,4,7,5,1]
[8,5,7,2,4,6,1,3]=>[6,7,1,2,8,4,5,3]
[6,1,3,7,2,5,8,4]=>[6,7,1,8,2,3,5,4]
[8,2,5,1,4,7,3,6]=>[5,8,7,1,2,3,4,6]
[8,1,3,6,4,2,5,7]=>[8,4,1,6,2,3,5,7]
[8,3,6,7,4,1,2,5]=>[4,1,7,8,3,2,6,5]
[8,5,1,2,4,6,7,3]=>[5,1,8,3,7,4,6,2]
[2,6,8,7,3,4,5,1]=>[5,2,7,3,4,6,8,1]
[1,7,8,3,6,4,2,5]=>[1,4,6,8,3,2,7,5]
[1,7,8,3,2,4,6,5]=>[1,3,8,2,6,4,7,5]
[1,7,8,5,6,4,2,3]=>[1,4,2,6,8,5,7,3]
[8,3,1,2,4,6,7,5]=>[3,1,8,2,7,4,6,5]
[3,1,7,5,8,2,4,6]=>[3,8,1,2,7,4,5,6]
[8,1,3,2,4,6,5,7]=>[8,3,1,2,6,4,5,7]
[3,2,6,5,8,1,4,7]=>[8,3,2,1,6,5,4,7]
[8,2,3,7,4,1,5,6]=>[4,7,1,8,2,5,3,6]
[8,1,5,6,4,2,3,7]=>[8,4,2,6,1,5,3,7]
[3,5,8,1,6,4,2,7]=>[8,4,3,6,5,1,2,7]
[3,5,8,2,7,4,1,6]=>[4,7,3,8,5,2,1,6]
[8,3,2,7,4,1,6,5]=>[4,3,7,8,6,2,1,5]
[6,5,1,7,3,2,8,4]=>[5,3,6,7,8,2,4,1]
[8,3,1,6,4,2,7,5]=>[3,8,4,6,7,2,1,5]
[8,2,7,5,4,3,1,6]=>[3,4,5,7,8,2,1,6]
[8,1,6,5,4,3,2,7]=>[8,3,4,5,6,1,2,7]
[2,6,8,1,5,4,3,7]=>[8,2,4,5,1,6,3,7]
[5,2,1,7,6,3,8,4]=>[2,5,6,7,1,8,4,3]
[3,5,8,2,1,4,7,6]=>[2,8,3,1,5,7,4,6]
[4,2,8,5,3,7,6,1]=>[6,4,5,2,7,8,1,3]
[4,2,7,5,3,8,6,1]=>[6,4,5,2,8,7,1,3]
[6,4,5,1,8,3,2,7]=>[5,3,8,6,4,1,2,7]
[5,4,7,8,3,1,2,6]=>[3,1,8,5,4,2,7,6]
[4,5,8,1,3,7,2,6]=>[8,7,1,4,5,2,3,6]
[1,5,3,6,8,7,2,4]=>[1,7,5,2,3,6,8,4]
[7,6,2,8,1,4,3,5]=>[8,6,4,1,3,7,2,5]
[4,7,2,6,8,3,5,1]=>[5,7,8,4,3,2,6,1]
[6,3,2,8,7,4,5,1]=>[5,3,6,7,4,2,8,1]
[7,4,3,8,5,6,2,1]=>[2,6,4,7,8,5,3,1]
[3,1,5,8,7,6,2,4]=>[3,6,1,2,5,7,8,4]
[8,2,1,6,5,7,3,4]=>[2,8,7,3,6,1,5,4]
[3,1,8,6,5,7,2,4]=>[3,7,1,2,6,8,5,4]
[1,2,7,6,4,5,8,3]=>[1,2,8,6,4,7,5,3]
[7,2,6,5,1,8,3,4]=>[5,6,7,1,8,3,2,4]
[4,2,8,5,6,3,1,7]=>[3,6,4,1,8,5,2,7]
[6,4,2,1,8,7,3,5]=>[2,4,6,7,1,3,8,5]
[4,7,3,2,5,1,6,8]=>[5,3,7,4,2,1,6,8]
[6,2,5,1,7,8,4,3]=>[5,6,4,8,2,1,7,3]
[4,2,5,3,8,7,1,6]=>[7,4,5,2,3,1,8,6]
[6,2,5,8,7,4,1,3]=>[4,7,2,6,1,5,8,3]
[7,2,5,3,8,1,4,6]=>[8,7,5,1,2,4,3,6]
[7,2,5,3,8,4,6,1]=>[6,7,5,8,2,4,3,1]
[3,7,5,2,6,1,4,8]=>[6,5,3,1,7,2,4,8]
[3,8,5,6,7,4,2,1]=>[2,4,3,7,8,5,6,1]
[3,8,5,2,6,1,4,7]=>[6,5,3,1,8,2,4,7]
[3,6,8,1,7,4,5,2]=>[8,5,3,7,4,6,1,2]
[6,3,4,1,8,7,2,5]=>[4,7,6,3,2,1,8,5]
[4,7,3,2,5,8,1,6]=>[8,3,7,4,2,1,5,6]
[8,7,3,2,5,4,6,1]=>[6,3,7,5,2,4,8,1]
[5,1,7,6,2,4,8,3]=>[5,6,7,3,1,8,4,2]
[5,4,7,3,1,6,8,2]=>[3,7,8,5,4,2,6,1]
[7,5,4,8,3,1,6,2]=>[3,8,6,5,7,2,4,1]
[3,4,8,1,6,5,2,7]=>[8,5,3,4,6,1,2,7]
[7,5,6,1,8,3,2,4]=>[6,3,8,2,7,5,1,4]
[4,5,6,2,7,3,1,8]=>[3,7,6,4,5,1,2,8]
[5,3,4,7,1,6,2,8]=>[7,6,5,3,4,1,2,8]
[5,3,7,2,1,6,8,4]=>[2,7,5,8,3,1,6,4]
[3,5,1,4,6,8,2,7]=>[5,8,3,1,4,6,2,7]
[4,3,7,1,6,5,2,8]=>[7,5,4,3,6,1,2,8]
[8,5,7,4,2,1,3,6]=>[2,4,1,7,8,3,5,6]
[7,6,3,2,5,4,8,1]=>[8,3,6,5,2,7,4,1]
[8,6,3,2,5,4,1,7]=>[4,3,5,6,1,8,2,7]
[8,5,3,6,7,4,1,2]=>[4,1,7,5,8,2,6,3]
[6,5,8,4,2,7,1,3]=>[7,4,1,8,6,5,2,3]
[2,3,7,4,1,8,6,5]=>[4,2,3,7,6,8,1,5]
[2,4,5,1,8,6,3,7]=>[5,2,6,4,1,8,3,7]
[2,4,1,6,7,5,3,8]=>[4,2,5,1,7,6,3,8]
[6,3,7,1,5,2,4,8]=>[7,5,6,2,1,3,4,8]
[4,1,3,7,8,2,6,5]=>[4,8,1,3,6,2,7,5]
[7,1,4,8,6,5,2,3]=>[7,5,2,1,6,8,4,3]
[8,3,4,2,1,7,5,6]=>[2,4,8,3,7,5,1,6]
[1,4,5,3,8,6,7,2]=>[1,7,5,4,3,8,6,2]
[4,6,2,7,5,8,1,3]=>[8,6,1,4,7,2,5,3]
[7,3,2,5,1,8,4,6]=>[5,3,7,8,2,4,1,6]
[7,8,1,4,2,3,5,6]=>[8,4,2,1,3,5,7,6]
[6,5,2,4,8,7,1,3]=>[7,5,1,2,6,4,8,3]
[8,5,2,4,1,3,7,6]=>[4,5,1,2,8,7,3,6]
[5,1,2,4,3,6,8,7]=>[5,1,4,2,3,6,8,7]
[5,2,1,4,3,7,6,8]=>[2,5,4,1,3,7,6,8]
[8,6,2,7,5,3,1,4]=>[3,5,7,1,6,8,2,4]
[6,2,1,5,8,3,4,7]=>[2,6,8,3,1,5,4,7]
[2,3,8,7,1,5,4,6]=>[7,2,3,5,1,4,8,6]
[4,3,8,1,5,2,6,7]=>[8,5,4,3,1,2,6,7]
[4,1,3,6,7,2,8,5]=>[4,7,1,3,8,6,2,5]
[7,1,4,5,8,2,6,3]=>[7,8,6,1,4,2,5,3]
[6,1,3,2,4,5,8,7]=>[6,3,1,2,4,5,8,7]
[7,8,1,6,5,2,4,3]=>[8,5,4,2,6,1,7,3]
[7,4,8,5,1,3,2,6]=>[5,3,1,8,7,4,2,6]
[7,4,8,6,5,1,2,3]=>[5,1,2,6,8,7,4,3]
[2,8,1,7,6,3,5,4]=>[8,2,6,5,3,7,1,4]
[3,4,8,6,5,1,2,7]=>[5,1,3,4,6,8,2,7]
[3,7,8,6,5,1,2,4]=>[5,1,3,2,6,8,7,4]
[5,7,8,2,6,3,1,4]=>[3,6,8,2,5,1,7,4]
[4,7,8,2,5,3,1,6]=>[3,5,8,4,1,2,7,6]
[8,4,5,7,2,6,3,1]=>[3,6,7,8,4,1,5,2]
[4,5,8,6,1,3,2,7]=>[6,3,1,4,5,8,2,7]
[3,6,8,7,1,5,2,4]=>[7,5,3,2,1,6,8,4]
[4,7,8,2,6,3,1,5]=>[3,6,8,4,2,1,7,5]
[5,6,8,2,7,3,1,4]=>[3,7,8,2,5,6,1,4]
[4,5,8,2,7,3,1,6]=>[3,7,8,4,5,2,1,6]
[4,8,3,1,7,5,2,6]=>[3,8,5,4,7,1,2,6]
[2,8,4,3,7,5,1,6]=>[5,2,4,7,8,3,1,6]
[7,5,4,8,3,2,1,6]=>[2,3,8,5,7,1,4,6]
[6,5,8,2,7,3,1,4]=>[3,7,8,2,6,5,1,4]
[6,4,8,2,7,3,1,5]=>[3,7,8,6,2,4,1,5]
[6,8,3,1,7,4,2,5]=>[3,8,4,7,1,6,2,5]
[7,8,3,1,6,4,2,5]=>[3,8,4,6,1,2,7,5]
[2,8,6,3,4,5,1,7]=>[5,2,6,3,4,8,1,7]
[7,8,1,3,6,4,2,5]=>[8,4,1,6,2,3,7,5]
[6,8,1,3,7,4,2,5]=>[8,4,1,7,2,6,3,5]
[5,3,8,6,1,4,2,7]=>[6,4,5,1,3,8,2,7]
[5,8,1,3,7,4,2,6]=>[8,4,1,7,5,2,3,6]
[5,3,8,2,7,4,1,6]=>[4,7,8,5,1,2,3,6]
[4,3,8,2,7,5,1,6]=>[5,7,4,3,8,2,1,6]
[4,5,7,8,3,2,1,6]=>[2,3,8,4,5,1,7,6]
[5,7,3,4,2,6,8,1]=>[8,4,7,3,5,2,6,1]
[5,7,4,2,3,6,8,1]=>[8,4,2,7,5,3,6,1]
[5,4,7,3,2,8,1,6]=>[8,3,7,5,4,1,2,6]
[6,8,3,2,4,5,1,7]=>[5,3,8,2,4,6,1,7]
[5,8,3,4,6,1,2,7]=>[6,1,8,3,5,4,2,7]
[6,4,3,8,5,1,2,7]=>[5,1,4,8,6,2,3,7]
[6,4,8,2,3,5,1,7]=>[5,8,2,6,3,4,1,7]
[5,4,6,8,2,3,1,7]=>[3,8,2,5,4,6,1,7]
[5,6,8,4,1,2,3,7]=>[4,1,2,8,5,6,3,7]
[6,4,8,5,1,2,3,7]=>[5,1,2,8,6,3,4,7]
[7,4,8,3,1,2,5,6]=>[3,1,8,7,2,5,4,6]
[5,7,8,2,3,1,4,6]=>[3,8,2,1,5,4,7,6]
[5,4,7,8,2,1,3,6]=>[2,8,1,5,4,3,7,6]
[5,8,6,3,1,2,4,7]=>[3,1,6,2,5,8,4,7]
[6,8,5,2,1,3,4,7]=>[2,5,1,3,8,6,4,7]
[5,6,1,3,2,4,8,7]=>[6,3,1,2,5,4,8,7]
[3,5,1,2,7,6,4,8]=>[5,1,3,6,2,7,4,8]
[4,1,3,7,2,6,5,8]=>[4,7,1,3,6,2,5,8]
[4,3,6,1,2,5,8,7]=>[6,1,4,3,2,5,8,7]
[8,1,5,4,6,2,7,3]=>[8,6,7,5,1,4,2,3]
[4,3,8,1,2,5,7,6]=>[8,1,4,3,2,7,5,6]
[7,4,3,2,5,8,6,1]=>[6,3,4,8,1,7,5,2]
[4,6,3,2,8,5,7,1]=>[7,3,6,4,8,2,5,1]
[1,4,3,2,6,8,5,7]=>[1,3,4,2,8,6,5,7]
[5,3,7,2,1,8,6,4]=>[2,7,5,6,3,8,1,4]
[7,4,3,2,5,1,8,6]=>[5,3,4,7,2,8,1,6]
[5,4,3,7,2,6,8,1]=>[8,7,4,5,3,2,6,1]
[5,4,8,3,7,2,1,6]=>[2,7,8,5,4,1,3,6]
[3,6,8,5,2,1,7,4]=>[2,5,3,8,7,6,4,1]
[6,1,5,4,7,2,8,3]=>[6,7,8,5,1,4,2,3]
[1,3,6,5,8,2,7,4]=>[1,8,3,7,6,5,2,4]
[1,4,3,6,2,8,5,7]=>[1,6,4,3,8,2,5,7]
[4,3,6,8,2,7,5,1]=>[5,7,4,3,8,6,1,2]
[7,6,4,1,2,8,5,3]=>[4,1,6,5,7,8,2,3]
[1,6,5,3,2,8,4,7]=>[1,3,5,6,8,4,2,7]
[1,5,3,2,7,8,6,4]=>[1,3,5,6,2,8,7,4]
[5,4,8,3,2,7,1,6]=>[7,3,8,5,4,1,2,6]
[5,4,3,7,2,1,6,8]=>[2,7,4,5,3,1,6,8]
[1,6,5,4,7,2,8,3]=>[1,7,8,5,6,4,2,3]
[3,6,5,7,2,1,8,4]=>[2,7,3,8,6,5,1,4]
[5,4,3,7,8,2,1,6]=>[2,8,4,5,3,1,7,6]
[1,4,8,6,3,2,7,5]=>[1,3,6,4,8,7,5,2]
[2,8,3,6,5,4,1,7]=>[4,2,5,6,8,3,1,7]
[4,1,8,6,2,5,7,3]=>[4,6,8,1,3,7,5,2]
[1,5,3,6,7,4,8,2]=>[1,8,5,7,3,6,4,2]
[6,7,2,5,3,8,4,1]=>[4,8,7,5,3,6,1,2]
[4,7,6,2,5,1,8,3]=>[5,6,7,4,3,8,1,2]
[4,6,3,1,5,7,8,2]=>[3,6,8,4,2,5,7,1]
[1,5,7,4,6,2,8,3]=>[1,6,8,7,5,4,2,3]
[6,3,4,8,1,2,7,5]=>[8,1,6,3,7,4,2,5]
[1,3,5,2,8,6,4,7]=>[1,5,3,6,2,8,4,7]
[6,2,8,1,7,4,5,3]=>[8,6,5,7,4,2,1,3]
[1,7,6,3,8,4,2,5]=>[1,4,8,6,3,7,2,5]
[5,2,4,6,8,3,1,7]=>[3,8,5,1,4,6,2,7]
[6,1,2,3,5,4,8,7]=>[6,1,2,5,3,4,8,7]
[2,5,4,3,7,8,1,6]=>[8,2,4,5,3,1,7,6]
[5,4,1,6,8,3,7,2]=>[4,5,7,8,2,6,1,3]
[7,1,6,8,3,5,4,2]=>[7,4,5,8,2,1,6,3]
[2,6,3,1,5,8,7,4]=>[3,2,6,7,1,5,8,4]
[7,2,1,4,8,6,3,5]=>[2,7,6,1,3,8,4,5]
[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]
[7,2,6,5,3,4,8,1]=>[8,7,5,3,6,2,4,1]
[7,1,3,2,6,5,8,4]=>[7,3,1,8,6,2,5,4]
[7,3,1,2,5,6,8,4]=>[3,1,7,8,2,5,6,4]
[2,7,1,3,4,6,8,5]=>[7,2,1,3,8,4,6,5]
[6,1,3,5,8,7,4,2]=>[6,4,1,7,3,5,8,2]
[3,5,8,7,4,6,2,1]=>[2,6,3,7,5,4,8,1]
[6,8,5,7,3,4,2,1]=>[2,4,7,3,8,6,5,1]
[5,3,6,8,4,2,1,7]=>[2,4,8,5,1,6,3,7]
[5,1,6,8,4,7,3,2]=>[5,3,7,8,1,6,4,2]
[6,2,8,3,4,1,5,7]=>[4,6,8,3,1,2,5,7]
[2,4,1,8,7,6,3,5]=>[4,2,6,1,3,7,8,5]
[1,3,5,8,4,7,2,6]=>[1,7,3,8,5,2,4,6]
[2,3,8,7,5,1,6,4]=>[5,2,3,7,6,4,8,1]
[8,5,4,7,6,1,3,2]=>[6,3,1,5,7,8,2,4]
[5,8,7,2,4,1,3,6]=>[4,7,1,2,5,3,8,6]
[4,1,3,5,6,2,8,7]=>[4,6,1,3,5,2,8,7]
[6,3,8,5,1,7,4,2]=>[5,4,8,7,6,1,3,2]
[8,2,4,6,1,3,7,5]=>[6,8,1,2,7,4,3,5]
[6,4,8,7,3,5,2,1]=>[2,5,7,6,3,4,8,1]
[8,2,3,5,6,1,4,7]=>[6,8,2,1,3,5,4,7]
[4,3,5,6,8,2,7,1]=>[7,8,4,3,5,6,2,1]
[8,2,3,4,6,1,7,5]=>[6,8,2,3,7,4,1,5]
[1,7,4,3,5,2,8,6]=>[1,5,4,7,3,8,2,6]
[2,7,4,3,8,1,5,6]=>[8,2,4,7,1,5,3,6]
[3,8,2,7,6,4,1,5]=>[4,6,3,7,1,8,2,5]
[5,3,6,2,1,8,4,7]=>[2,6,5,8,3,1,4,7]
[4,3,8,6,2,7,1,5]=>[7,6,4,3,1,8,2,5]
[8,2,1,4,6,3,7,5]=>[2,8,6,1,7,4,3,5]
[3,1,6,8,2,7,5,4]=>[3,8,1,5,7,6,2,4]
[5,3,8,6,7,2,1,4]=>[2,7,5,1,3,8,6,4]
[5,8,7,2,4,6,1,3]=>[6,7,1,2,5,4,8,3]
[1,5,2,8,7,6,4,3]=>[1,5,4,6,2,7,8,3]
[2,7,1,4,6,5,3,8]=>[7,2,5,1,6,4,3,8]
[4,7,1,2,6,5,8,3]=>[7,1,8,4,6,2,5,3]
[4,2,5,6,8,7,3,1]=>[3,7,4,1,5,6,8,2]
[6,5,8,3,7,4,2,1]=>[2,4,7,8,6,5,1,3]
[8,2,5,1,6,3,7,4]=>[5,8,6,7,2,1,3,4]
[8,3,4,5,1,6,7,2]=>[5,7,8,3,4,1,6,2]
[7,8,1,5,6,3,2,4]=>[8,3,6,2,1,5,7,4]
[1,7,8,3,2,5,4,6]=>[1,3,8,5,2,4,7,6]
[7,8,1,3,2,5,6,4]=>[8,3,1,6,2,5,7,4]
[7,8,1,3,5,4,6,2]=>[8,6,1,5,3,4,7,2]
[7,8,1,3,5,2,4,6]=>[8,5,1,2,3,4,7,6]
[1,3,7,8,5,2,4,6]=>[1,5,3,2,8,4,7,6]
[1,7,8,3,5,2,6,4]=>[1,5,8,6,3,2,7,4]
[1,7,8,3,2,5,6,4]=>[1,3,8,6,2,5,7,4]
[3,7,8,5,4,6,1,2]=>[6,1,3,5,8,4,7,2]
[3,5,7,6,4,8,1,2]=>[8,1,3,6,5,7,4,2]
[1,3,7,8,5,4,6,2]=>[1,6,3,5,8,4,7,2]
[1,3,7,8,5,4,2,6]=>[1,4,3,5,8,2,7,6]
[1,3,7,8,2,5,4,6]=>[1,8,3,5,2,4,7,6]
[1,3,2,7,8,5,4,6]=>[1,3,2,5,8,4,7,6]
[1,5,7,6,8,3,2,4]=>[1,3,8,2,5,7,6,4]
[3,5,4,7,8,6,1,2]=>[6,1,3,5,4,8,7,2]
[3,5,7,6,8,4,1,2]=>[4,1,3,8,5,7,6,2]
[1,5,7,6,8,3,4,2]=>[1,4,8,3,5,7,6,2]
[3,5,7,4,6,8,1,2]=>[8,1,3,7,5,4,6,2]
[6,1,4,3,2,5,8,7]=>[6,3,4,1,2,5,8,7]
[7,4,2,1,3,6,5,8]=>[2,4,1,7,6,3,5,8]
[6,5,8,4,3,7,1,2]=>[7,1,4,8,6,5,3,2]
[5,3,6,7,8,4,1,2]=>[4,1,8,5,2,6,7,3]
[3,7,8,4,6,5,1,2]=>[5,1,3,6,8,2,7,4]
[5,2,7,6,3,8,1,4]=>[8,5,6,1,2,7,3,4]
[6,2,5,7,1,8,4,3]=>[7,6,4,8,2,5,1,3]
[1,8,3,2,4,6,5,7]=>[1,3,8,2,6,4,5,7]
[5,8,6,2,3,7,1,4]=>[7,6,2,1,5,8,3,4]
[1,4,8,3,6,7,2,5]=>[1,7,8,4,2,3,6,5]
[6,7,3,1,5,2,4,8]=>[3,7,5,1,2,6,4,8]
[5,2,4,1,8,3,6,7]=>[4,5,8,2,1,3,6,7]
[3,5,6,7,2,1,8,4]=>[2,7,3,8,5,6,1,4]
[6,2,8,5,3,1,4,7]=>[3,5,8,1,6,2,4,7]
[2,1,7,4,3,8,5,6]=>[2,1,4,7,8,5,3,6]
[1,4,2,8,3,6,7,5]=>[1,4,8,2,7,3,6,5]
[6,5,1,3,4,7,8,2]=>[5,6,2,3,8,4,7,1]
[7,2,3,8,5,4,1,6]=>[4,5,2,8,7,1,3,6]
[3,4,1,7,8,2,6,5]=>[4,8,3,1,6,2,7,5]
[7,8,3,1,4,5,6,2]=>[3,8,6,2,4,5,7,1]
[5,8,1,4,3,7,6,2]=>[8,6,4,1,5,7,3,2]
[3,7,1,5,6,4,8,2]=>[7,8,3,6,1,5,4,2]
[6,1,8,7,3,2,5,4]=>[6,3,7,5,2,1,8,4]
[4,1,5,2,7,8,6,3]=>[4,5,6,1,2,8,7,3]
[7,8,1,5,6,2,4,3]=>[8,6,4,2,1,5,7,3]
[4,1,5,7,6,3,8,2]=>[4,8,6,1,5,7,3,2]
[1,5,7,4,6,8,2,3]=>[1,8,2,7,5,4,6,3]
[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]
[1,4,7,3,2,6,5,8]=>[1,3,7,4,6,2,5,8]
[1,4,6,7,3,5,2,8]=>[1,5,7,4,3,6,2,8]
[1,5,3,4,8,2,7,6]=>[1,8,5,3,4,7,2,6]
[1,4,8,2,6,7,5,3]=>[1,8,5,4,7,2,6,3]
[1,4,7,8,2,3,6,5]=>[1,8,2,4,6,3,7,5]
[2,8,3,5,7,1,4,6]=>[7,2,8,1,3,4,5,6]
[1,7,3,2,4,5,6,8]=>[1,3,7,2,4,5,6,8]
[7,4,6,2,3,1,5,8]=>[3,6,2,7,1,4,5,8]
[6,1,4,7,8,3,2,5]=>[6,3,8,1,2,4,7,5]
[1,7,3,2,4,5,8,6]=>[1,3,7,2,4,8,5,6]
[1,4,8,7,3,2,6,5]=>[1,3,7,4,6,2,8,5]
[1,6,4,3,2,5,7,8]=>[1,3,4,6,2,5,7,8]
[4,2,6,5,3,1,7,8]=>[3,5,4,1,6,2,7,8]
[6,5,2,3,4,1,8,7]=>[4,5,2,3,6,1,8,7]
[5,2,1,6,8,7,4,3]=>[2,5,4,7,1,6,8,3]
[1,3,5,8,6,2,7,4]=>[1,6,3,8,5,7,4,2]
[2,3,8,4,1,7,6,5]=>[4,2,3,8,6,7,1,5]
[2,5,1,7,8,4,3,6]=>[5,2,4,8,1,3,7,6]
[3,7,8,5,4,2,6,1]=>[6,4,3,5,8,2,7,1]
[4,7,5,2,3,1,6,8]=>[3,5,2,4,7,1,6,8]
[8,3,2,7,5,6,1,4]=>[6,3,8,1,7,5,2,4]
[3,6,7,4,1,5,2,8]=>[4,7,3,5,2,6,1,8]
[3,5,7,1,6,2,8,4]=>[7,6,3,8,5,1,2,4]
[1,3,8,5,7,4,2,6]=>[1,4,3,7,8,2,5,6]
[1,2,3,7,5,4,6,8]=>[1,2,3,5,7,4,6,8]
[1,4,2,8,6,3,5,7]=>[1,4,6,2,3,8,5,7]
[1,7,6,5,3,4,2,8]=>[1,4,5,3,6,7,2,8]
[2,3,8,6,5,4,1,7]=>[4,2,3,5,6,8,1,7]
[2,8,6,3,5,7,4,1]=>[4,2,7,6,1,8,5,3]
[2,6,7,4,3,1,8,5]=>[3,2,4,7,8,6,1,5]
[2,8,6,7,4,1,5,3]=>[4,2,7,5,3,8,6,1]
[6,1,8,2,5,3,4,7]=>[6,8,5,3,2,1,4,7]
[2,6,1,5,7,3,4,8]=>[6,2,7,3,1,5,4,8]
[3,6,1,5,2,7,4,8]=>[6,5,3,7,1,2,4,8]
[3,8,6,4,2,7,1,5]=>[7,4,3,6,1,8,2,5]
[3,8,6,2,1,7,5,4]=>[2,6,3,5,8,7,4,1]
[1,8,2,5,7,4,6,3]=>[1,8,6,7,2,4,5,3]
[5,2,4,8,3,1,7,6]=>[3,8,5,1,4,7,2,6]
[2,5,8,4,3,1,6,7]=>[3,2,4,8,5,1,6,7]
[4,1,8,7,2,5,6,3]=>[4,7,6,1,2,5,8,3]
[1,5,4,2,3,6,8,7]=>[1,4,2,5,3,6,8,7]
[6,1,5,2,3,4,8,7]=>[6,5,2,3,1,4,8,7]
[4,6,2,8,1,5,7,3]=>[8,6,7,4,1,2,5,3]
[3,4,1,8,2,5,7,6]=>[4,8,3,1,2,7,5,6]
[4,2,1,8,5,3,7,6]=>[2,4,5,1,8,7,3,6]
[2,5,8,7,6,4,1,3]=>[4,2,1,6,5,7,8,3]
[3,1,8,2,4,6,7,5]=>[3,8,1,2,7,4,6,5]
[6,5,2,1,7,3,4,8]=>[2,5,6,1,7,3,4,8]
[5,2,6,8,7,3,1,4]=>[3,7,5,2,1,6,8,4]
[2,7,8,6,3,4,1,5]=>[4,2,6,3,1,8,7,5]
[3,1,2,8,6,7,5,4]=>[3,1,2,5,7,8,6,4]
[3,1,2,4,8,6,7,5]=>[3,1,2,4,7,8,6,5]
[3,1,2,5,8,7,4,6]=>[3,1,2,7,5,4,8,6]
[6,5,2,1,8,4,7,3]=>[2,5,6,7,8,3,1,4]
[5,6,2,4,3,8,1,7]=>[8,6,4,2,5,3,1,7]
[3,7,5,2,8,1,4,6]=>[8,5,3,1,7,4,2,6]
[7,4,1,3,6,2,8,5]=>[4,7,2,6,8,3,1,5]
[5,1,4,7,3,2,8,6]=>[5,3,7,1,4,8,2,6]
[2,3,5,4,8,6,1,7]=>[6,2,3,5,4,8,1,7]
[2,3,6,4,7,5,1,8]=>[5,2,3,7,6,1,4,8]
[2,3,5,7,4,8,1,6]=>[8,2,3,7,5,1,4,6]
[2,3,7,6,1,5,8,4]=>[6,2,3,7,4,8,5,1]
[8,3,2,4,1,7,6,5]=>[4,3,8,2,6,7,1,5]
[3,7,6,1,2,5,8,4]=>[6,1,3,7,4,8,5,2]
[4,7,1,6,8,5,3,2]=>[7,3,5,4,8,1,6,2]
[4,1,8,6,3,5,2,7]=>[4,5,6,1,3,8,2,7]
[4,1,5,8,6,2,3,7]=>[4,6,2,1,5,8,3,7]
[5,3,4,6,2,8,7,1]=>[7,6,5,3,4,2,8,1]
[5,4,8,6,3,7,1,2]=>[7,1,6,5,4,8,3,2]
[5,7,3,4,8,2,6,1]=>[6,8,7,3,5,2,4,1]
[5,6,4,2,7,8,3,1]=>[3,8,4,6,5,1,7,2]
[6,5,2,3,7,4,1,8]=>[4,7,1,5,6,3,2,8]
[6,5,2,3,1,8,7,4]=>[3,5,2,6,7,4,8,1]
[6,5,3,7,4,1,2,8]=>[4,1,7,5,6,2,3,8]
[6,4,7,5,3,8,1,2]=>[8,1,5,7,6,3,4,2]
[5,7,6,4,8,3,1,2]=>[3,1,8,6,5,7,4,2]
[5,7,4,8,3,1,6,2]=>[3,8,6,7,5,2,4,1]
[3,1,4,7,5,2,8,6]=>[3,5,1,4,7,8,2,6]
[3,1,4,7,2,8,6,5]=>[3,7,1,4,6,8,2,5]
[3,1,5,4,8,6,2,7]=>[3,6,1,5,4,8,2,7]
[3,1,7,5,4,6,2,8]=>[3,6,1,5,7,4,2,8]
[2,5,6,3,7,4,1,8]=>[4,2,7,6,5,1,3,8]
[4,3,1,7,5,6,2,8]=>[3,4,6,2,7,5,1,8]
[4,3,1,5,8,6,2,7]=>[3,4,6,2,5,8,1,7]
[4,3,5,1,8,7,2,6]=>[5,7,4,3,1,2,8,6]
[2,5,3,1,6,7,4,8]=>[3,2,5,7,1,6,4,8]
[2,5,3,6,1,8,4,7]=>[6,2,5,8,3,1,4,7]
[2,5,6,4,1,8,3,7]=>[4,2,6,8,5,3,1,7]
[4,6,2,1,5,7,3,8]=>[2,6,7,4,1,5,3,8]
[4,8,1,5,7,3,2,6]=>[8,3,7,4,1,2,5,6]
[6,4,2,7,8,3,1,5]=>[3,8,4,6,2,1,7,5]
[2,5,6,7,4,1,8,3]=>[4,2,7,8,5,6,3,1]
[2,5,6,8,3,1,7,4]=>[3,2,8,7,5,6,1,4]
[7,1,4,5,3,6,2,8]=>[7,6,5,1,4,3,2,8]
[1,7,2,4,5,3,6,8]=>[1,7,5,2,4,3,6,8]
[1,7,4,5,3,2,6,8]=>[1,3,5,7,4,2,6,8]
[1,6,4,7,3,5,2,8]=>[1,5,7,6,3,4,2,8]
[3,5,6,4,8,2,1,7]=>[2,8,3,6,5,4,1,7]
[1,6,4,7,5,2,3,8]=>[1,5,2,7,6,3,4,8]
[1,5,2,6,7,4,3,8]=>[1,5,4,7,2,6,3,8]
[8,5,6,1,4,3,7,2]=>[6,7,4,1,8,5,3,2]
[2,5,4,7,8,3,1,6]=>[3,2,8,5,4,1,7,6]
[5,6,4,8,2,1,3,7]=>[2,8,1,6,5,4,3,7]
[6,4,5,8,2,3,1,7]=>[3,8,2,6,4,5,1,7]
[8,6,1,3,2,5,7,4]=>[6,3,1,8,4,7,5,2]
[7,5,8,1,4,6,3,2]=>[8,3,6,1,7,4,5,2]
[4,2,6,7,8,1,5,3]=>[8,4,5,2,1,6,7,3]
[4,7,8,2,5,1,6,3]=>[5,8,6,4,2,1,7,3]
[3,7,8,2,5,1,4,6]=>[5,8,3,1,2,4,7,6]
[3,4,6,7,8,1,5,2]=>[8,5,3,4,1,6,7,2]
[2,5,3,7,8,1,4,6]=>[8,2,5,1,3,4,7,6]
[5,6,3,8,1,2,4,7]=>[8,1,6,2,5,3,4,7]
[4,7,3,8,5,1,6,2]=>[5,8,6,4,7,2,1,3]
[4,3,2,7,5,8,1,6]=>[8,3,4,2,7,1,5,6]
[4,8,5,3,2,6,1,7]=>[6,3,5,4,8,2,1,7]
[2,8,4,5,3,6,1,7]=>[6,2,5,8,4,3,1,7]
[8,1,5,3,2,4,7,6]=>[8,3,5,2,1,7,4,6]
[4,7,3,8,2,1,6,5]=>[2,8,7,4,6,1,3,5]
[7,8,4,1,3,6,5,2]=>[4,8,2,5,6,3,7,1]
[8,6,1,3,2,7,4,5]=>[6,3,1,8,2,7,4,5]
[7,3,8,2,4,1,6,5]=>[4,8,7,2,6,1,3,5]
[6,2,3,7,8,1,5,4]=>[8,6,2,5,1,3,7,4]
[6,3,7,8,1,5,4,2]=>[8,4,5,6,1,2,7,3]
[2,6,3,7,8,1,5,4]=>[8,2,6,5,1,3,7,4]
[7,5,8,1,6,4,2,3]=>[8,4,2,6,7,1,5,3]
[1,4,7,3,8,5,2,6]=>[1,5,8,4,7,3,2,6]
[8,1,4,3,7,5,6,2]=>[8,6,4,1,7,5,3,2]
[1,4,8,5,3,2,6,7]=>[1,3,5,4,8,2,6,7]
[8,2,7,6,4,1,5,3]=>[4,6,7,5,3,8,2,1]
[2,7,4,3,8,5,1,6]=>[5,2,4,8,7,3,1,6]
[5,2,1,7,8,4,3,6]=>[2,5,4,8,1,3,7,6]
[2,7,1,8,6,4,5,3]=>[7,2,5,6,4,8,1,3]
[2,4,7,6,3,8,5,1]=>[5,2,8,4,6,7,1,3]
[7,2,6,1,8,3,5,4]=>[6,7,8,5,3,2,1,4]
[6,3,8,7,1,5,2,4]=>[7,5,6,2,1,3,8,4]
[6,8,2,7,3,1,5,4]=>[3,7,8,5,2,6,1,4]
[6,8,1,4,7,5,3,2]=>[8,3,5,1,7,6,4,2]
[7,6,1,2,8,5,3,4]=>[6,1,5,2,7,8,3,4]
[7,3,1,8,4,6,5,2]=>[3,7,5,6,8,1,2,4]
[7,2,4,8,3,6,5,1]=>[5,6,7,3,8,1,4,2]
[8,2,6,3,4,1,7,5]=>[4,8,6,3,7,2,1,5]
[6,1,2,8,5,3,7,4]=>[6,1,5,8,7,2,4,3]
[4,1,8,7,3,5,6,2]=>[4,6,7,1,3,5,8,2]
[4,1,5,8,3,6,7,2]=>[4,7,8,1,5,3,6,2]
[4,7,2,6,8,3,1,5]=>[3,8,7,4,2,1,6,5]
[7,5,2,8,1,6,3,4]=>[8,5,7,2,6,1,3,4]
[4,8,5,7,1,3,2,6]=>[7,3,1,4,8,2,5,6]
[3,4,7,2,1,5,8,6]=>[2,7,3,4,1,8,5,6]
[4,8,2,7,1,3,6,5]=>[7,8,1,4,6,3,2,5]
[5,2,1,8,7,4,6,3]=>[2,5,6,7,1,4,8,3]
[8,2,1,7,4,6,3,5]=>[2,8,6,7,3,4,1,5]
[4,2,5,8,3,6,7,1]=>[7,4,8,2,5,3,6,1]
[5,1,6,8,3,2,7,4]=>[5,3,8,7,1,6,2,4]
[4,1,5,6,8,2,7,3]=>[4,8,7,1,5,6,2,3]
[4,7,8,3,1,2,5,6]=>[3,1,8,4,2,5,7,6]
[5,7,8,2,4,1,3,6]=>[4,8,1,2,5,3,7,6]
[4,5,2,8,7,3,1,6]=>[3,7,5,4,1,2,8,6]
[5,8,2,3,6,4,7,1]=>[7,8,2,6,5,3,4,1]
[4,5,7,6,8,2,3,1]=>[3,8,2,4,5,7,6,1]
[4,8,5,3,1,6,7,2]=>[3,5,8,4,7,1,6,2]
[6,2,3,1,7,8,5,4]=>[3,6,2,5,8,1,7,4]
[5,2,3,8,7,4,6,1]=>[6,5,2,7,3,4,8,1]
[5,2,3,6,8,4,7,1]=>[7,5,2,8,3,6,4,1]
[8,2,1,7,3,4,6,5]=>[2,8,7,3,6,4,1,5]
[6,2,1,7,8,4,3,5]=>[2,6,4,8,3,1,7,5]
[5,2,1,3,8,4,7,6]=>[2,5,1,8,3,7,4,6]
[5,2,7,8,4,1,6,3]=>[4,8,5,6,3,2,7,1]
[6,2,7,8,3,5,4,1]=>[4,5,6,8,1,3,7,2]
[5,2,8,6,4,1,7,3]=>[4,6,5,8,3,7,1,2]
[8,1,7,3,2,4,6,5]=>[8,3,7,2,6,4,1,5]
[5,1,2,8,4,3,7,6]=>[5,1,4,8,2,7,3,6]
[5,7,8,3,4,1,6,2]=>[4,6,8,3,5,1,7,2]
[6,7,8,3,2,5,4,1]=>[4,3,5,8,1,6,7,2]
[5,7,2,6,4,8,1,3]=>[8,7,1,6,5,2,4,3]
[6,2,3,4,7,8,5,1]=>[5,8,1,3,6,4,7,2]
[7,2,1,8,4,3,5,6]=>[2,7,4,8,3,5,1,6]
[6,2,1,3,7,5,8,4]=>[2,6,1,8,7,3,5,4]
[6,8,7,3,4,5,1,2]=>[5,1,7,3,4,6,8,2]
[6,2,3,7,8,1,4,5]=>[8,6,2,1,4,3,7,5]
[7,4,3,2,5,8,1,6]=>[8,3,4,7,2,1,5,6]
[7,2,4,3,5,8,1,6]=>[8,7,4,2,3,1,5,6]
[1,3,7,4,2,5,6,8]=>[1,4,3,7,2,5,6,8]
[1,3,8,6,4,2,7,5]=>[1,4,3,6,8,7,5,2]
[1,3,5,8,4,2,7,6]=>[1,4,3,8,5,7,2,6]
[1,3,8,4,5,2,7,6]=>[1,5,3,8,4,7,2,6]
[1,7,6,2,3,5,4,8]=>[1,6,2,5,3,7,4,8]
[1,7,6,4,2,3,5,8]=>[1,4,2,6,3,7,5,8]
[1,3,2,5,8,6,4,7]=>[1,3,2,6,5,8,4,7]
[6,1,4,7,2,8,5,3]=>[6,7,5,1,8,4,2,3]
[1,7,5,8,4,2,3,6]=>[1,4,2,8,7,3,5,6]
[1,6,7,2,4,8,5,3]=>[1,7,5,2,8,6,4,3]
[5,7,2,4,3,6,8,1]=>[8,7,4,2,5,3,6,1]
[5,7,3,4,6,2,8,1]=>[8,6,7,3,5,4,2,1]
[2,8,3,6,1,7,4,5]=>[6,2,8,7,4,3,1,5]
[4,3,1,8,5,2,6,7]=>[3,4,5,2,8,1,6,7]
[1,8,4,5,6,2,7,3]=>[1,6,7,8,4,5,2,3]
[7,3,8,2,1,4,5,6]=>[2,8,7,1,4,5,3,6]
[8,2,5,3,1,7,4,6]=>[3,5,8,7,1,4,2,6]
[6,3,5,8,1,7,4,2]=>[8,4,7,6,2,5,1,3]
[3,5,4,8,6,1,7,2]=>[6,8,3,5,4,7,2,1]
[7,5,2,3,8,4,6,1]=>[6,5,2,7,8,3,4,1]
[2,7,5,1,4,8,3,6]=>[5,2,7,3,8,1,4,6]
[5,7,6,1,2,8,3,4]=>[6,1,7,2,5,8,3,4]
[7,4,6,5,1,8,2,3]=>[5,6,1,8,7,3,2,4]
[2,8,4,1,7,3,6,5]=>[4,2,8,7,6,1,3,5]
[7,1,3,2,6,8,4,5]=>[7,3,1,8,4,2,6,5]
[4,3,5,2,8,1,6,7]=>[8,5,4,3,2,1,6,7]
[1,7,3,8,2,4,6,5]=>[1,8,7,2,6,4,3,5]
[2,7,4,8,5,3,1,6]=>[3,2,5,8,7,4,1,6]
[6,1,3,8,4,2,7,5]=>[6,4,1,8,7,3,2,5]
[5,4,1,8,6,2,7,3]=>[4,5,6,8,2,7,1,3]
[5,4,6,8,1,3,2,7]=>[8,3,1,5,4,6,2,7]
[3,6,1,5,8,4,7,2]=>[6,7,3,8,1,5,4,2]
[6,4,8,3,5,7,2,1]=>[2,7,8,6,3,4,5,1]
[3,5,8,2,4,1,7,6]=>[4,8,3,2,5,7,1,6]
[7,2,8,4,1,3,6,5]=>[4,8,2,7,6,3,1,5]
[5,8,1,2,4,3,6,7]=>[8,1,4,2,5,3,6,7]
[3,6,5,4,7,1,2,8]=>[7,1,3,5,6,4,2,8]
[8,4,6,3,5,7,2,1]=>[2,7,6,8,3,4,5,1]
[6,1,7,4,3,2,5,8]=>[6,3,4,7,2,1,5,8]
[2,7,4,6,3,5,1,8]=>[5,2,6,7,3,4,1,8]
[4,7,2,6,1,5,3,8]=>[6,7,5,4,1,2,3,8]
[8,3,6,2,7,5,1,4]=>[5,7,6,2,8,1,3,4]
[2,8,4,7,3,1,6,5]=>[3,2,7,8,6,1,4,5]
[2,8,7,3,6,1,5,4]=>[6,2,7,5,1,3,8,4]
[7,1,8,5,4,6,3,2]=>[7,3,6,5,8,4,1,2]
[7,6,2,5,1,8,4,3]=>[5,6,4,7,3,8,1,2]
[1,8,4,7,5,3,6,2]=>[1,6,5,7,8,4,3,2]
[6,5,2,8,4,1,7,3]=>[4,8,5,6,7,1,2,3]
[2,8,5,7,1,4,6,3]=>[7,2,6,1,8,4,5,3]
[4,1,5,8,3,7,2,6]=>[4,7,8,1,5,2,3,6]
[2,6,8,5,7,1,4,3]=>[7,2,4,1,8,6,5,3]
[8,6,3,5,7,2,4,1]=>[4,7,6,2,3,8,5,1]
[1,5,4,6,8,3,7,2]=>[1,7,8,5,4,6,3,2]
[8,4,3,5,7,2,6,1]=>[6,7,4,8,3,2,5,1]
[4,1,5,2,3,8,7,6]=>[4,5,2,1,3,7,8,6]
[1,7,6,8,3,5,2,4]=>[1,5,8,2,3,7,6,4]
[1,4,8,3,5,7,2,6]=>[1,7,8,4,3,2,5,6]
[7,4,6,3,5,8,2,1]=>[2,8,6,7,3,4,5,1]
[3,7,2,6,1,8,5,4]=>[6,7,3,5,8,2,1,4]
[7,3,6,2,8,5,1,4]=>[5,8,6,2,7,1,3,4]
[6,3,5,8,2,4,7,1]=>[7,8,6,2,3,5,4,1]
[1,6,8,3,5,7,2,4]=>[1,7,8,2,3,6,5,4]
[1,4,8,6,3,7,5,2]=>[1,5,7,4,6,8,2,3]
[4,8,3,7,5,2,6,1]=>[6,5,7,4,8,3,2,1]
[2,8,7,1,4,6,3,5]=>[7,2,6,1,3,4,8,5]
[6,5,8,2,4,7,1,3]=>[7,8,1,2,6,5,4,3]
[4,3,8,6,2,7,5,1]=>[5,7,4,3,6,8,1,2]
[1,8,5,3,7,4,2,6]=>[1,4,7,5,8,3,2,6]
[6,8,1,3,5,2,4,7]=>[8,5,1,2,3,6,4,7]
[7,5,6,2,8,4,3,1]=>[3,4,8,6,7,5,2,1]
[8,6,2,1,7,4,3,5]=>[2,6,4,8,1,7,3,5]
[8,3,5,1,6,7,4,2]=>[5,4,7,8,2,1,6,3]
[5,7,6,2,8,1,4,3]=>[8,6,4,1,5,7,2,3]
[8,6,7,2,5,4,1,3]=>[4,5,2,7,1,8,6,3]
[4,3,8,7,5,1,2,6]=>[5,1,4,3,7,2,8,6]
[6,3,8,1,2,5,4,7]=>[8,1,6,5,2,3,4,7]
[8,2,5,1,6,7,4,3]=>[5,8,4,7,2,1,6,3]
[8,1,5,2,6,7,4,3]=>[8,5,4,7,1,2,6,3]
[7,8,2,6,3,4,5,1]=>[5,8,6,3,4,2,7,1]
[7,6,4,8,5,3,2,1]=>[2,3,5,8,6,7,1,4]
[7,6,5,3,8,4,2,1]=>[2,4,8,5,6,7,1,3]
[7,6,5,4,2,8,3,1]=>[3,8,4,5,6,7,1,2]
[7,5,4,8,6,3,2,1]=>[2,3,6,5,8,7,1,4]
[7,6,5,3,2,8,4,1]=>[4,3,8,5,6,7,1,2]
[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]
[1,6,5,3,2,4,7,8]=>[1,3,5,2,6,4,7,8]
[1,7,2,4,6,5,3,8]=>[1,7,5,2,6,4,3,8]
[1,4,7,2,6,5,3,8]=>[1,7,5,4,6,2,3,8]
[1,2,6,8,7,4,3,5]=>[1,2,4,7,3,6,8,5]
[1,2,7,4,3,5,8,6]=>[1,2,4,7,3,8,5,6]
[1,6,2,8,7,4,3,5]=>[1,6,4,7,3,2,8,5]
[1,7,4,2,3,5,8,6]=>[1,4,2,7,3,8,5,6]
[1,8,5,2,3,6,4,7]=>[1,5,2,8,6,4,3,7]
[1,7,4,8,5,2,3,6]=>[1,5,2,8,7,4,3,6]
[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2]
[1,6,3,7,4,2,8,5]=>[1,4,7,6,8,2,3,5]
[1,8,5,2,7,4,3,6]=>[1,5,4,8,7,2,3,6]
[1,4,8,7,5,3,2,6]=>[1,3,5,4,7,2,8,6]
[1,2,5,8,6,3,7,4]=>[1,2,6,8,5,7,4,3]
[1,2,4,7,5,8,6,3]=>[1,2,6,4,8,7,3,5]
[1,5,8,7,6,2,4,3]=>[1,6,4,2,5,7,8,3]
[1,3,5,8,7,6,2,4]=>[1,6,3,2,5,7,8,4]
[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]
[1,6,8,7,5,3,2,4]=>[1,3,5,2,7,6,8,4]
[1,2,5,7,4,3,8,6]=>[1,2,4,7,5,8,3,6]
[1,5,3,2,6,8,7,4]=>[1,3,5,7,2,6,8,4]
[1,4,2,6,8,7,5,3]=>[1,4,5,2,7,6,8,3]
[1,5,8,6,3,2,7,4]=>[1,3,6,8,5,7,4,2]
[1,8,5,2,6,3,4,7]=>[1,5,8,2,6,3,4,7]
[1,7,4,6,3,2,8,5]=>[1,3,6,7,8,4,2,5]
[1,6,3,2,8,5,4,7]=>[1,3,6,5,8,2,4,7]
[1,3,8,6,4,2,5,7]=>[1,4,3,6,2,8,5,7]
[1,5,7,4,2,3,8,6]=>[1,4,2,7,5,8,3,6]
[6,3,7,5,4,2,8,1]=>[8,4,5,7,6,3,2,1]
[7,5,2,6,3,4,8,1]=>[8,5,7,2,6,3,4,1]
[3,8,2,7,5,4,1,6]=>[4,5,3,7,8,1,2,6]
[5,4,8,6,7,1,2,3]=>[7,1,2,5,4,8,6,3]
[8,6,2,4,1,7,5,3]=>[4,6,5,3,8,7,1,2]
[2,7,3,6,8,5,4,1]=>[4,2,5,8,7,3,6,1]
[3,7,2,8,1,6,4,5]=>[8,7,3,6,4,1,2,5]
[6,3,1,2,5,8,7,4]=>[3,1,6,7,2,5,8,4]
[8,5,2,4,6,7,3,1]=>[3,7,5,1,8,4,6,2]
[6,8,4,2,7,3,5,1]=>[5,4,8,7,2,6,3,1]
[2,5,8,7,1,4,3,6]=>[7,2,4,1,5,3,8,6]
[6,1,5,8,2,4,3,7]=>[6,8,4,2,1,5,3,7]
[3,4,6,5,8,2,7,1]=>[7,8,3,4,6,5,2,1]
[5,2,4,1,6,7,8,3]=>[4,5,8,2,1,6,7,3]
[4,2,7,1,6,8,3,5]=>[7,4,8,2,3,1,6,5]
[5,2,8,6,4,7,1,3]=>[7,5,1,6,2,8,4,3]
[4,7,5,1,6,3,8,2]=>[5,7,8,4,6,2,1,3]
[8,5,1,3,6,2,7,4]=>[5,8,2,6,7,3,4,1]
[8,2,1,3,6,7,4,5]=>[2,8,1,7,4,3,6,5]
[4,3,1,6,7,5,8,2]=>[3,4,8,2,7,6,5,1]
[8,5,7,2,3,1,4,6]=>[3,7,2,1,8,4,5,6]
[6,1,3,4,7,2,8,5]=>[6,7,1,3,8,4,2,5]
[8,4,7,1,5,3,2,6]=>[7,3,5,8,1,2,4,6]
[8,4,7,2,5,3,1,6]=>[3,5,7,8,1,2,4,6]
[8,3,4,5,2,1,7,6]=>[2,5,8,3,4,7,1,6]
[6,3,4,7,2,1,5,8]=>[2,7,6,3,1,4,5,8]
[5,3,6,7,2,8,1,4]=>[8,7,5,1,3,6,2,4]
[3,4,2,6,1,8,7,5]=>[6,4,3,2,7,1,8,5]
[8,6,1,4,7,3,5,2]=>[6,5,8,3,1,7,4,2]
[5,3,6,7,2,8,4,1]=>[4,8,7,5,1,6,3,2]
[5,3,6,7,2,4,8,1]=>[8,7,5,2,3,6,4,1]
[5,3,6,7,2,4,1,8]=>[4,7,5,2,3,6,1,8]
[3,8,2,5,6,7,4,1]=>[4,7,3,8,1,5,6,2]
[3,8,4,1,6,7,2,5]=>[4,8,3,7,1,2,6,5]
[5,3,6,7,8,1,2,4]=>[8,1,5,2,3,6,7,4]
[2,8,3,6,1,4,7,5]=>[6,2,8,1,7,3,4,5]
[8,6,3,1,7,2,5,4]=>[3,6,8,5,2,7,1,4]
[8,6,4,2,7,1,5,3]=>[7,4,6,5,1,8,3,2]
[5,6,2,7,1,4,3,8]=>[7,6,4,1,5,2,3,8]
[5,3,6,7,4,1,2,8]=>[4,1,7,5,2,6,3,8]
[8,6,3,4,7,5,1,2]=>[5,1,7,2,6,8,4,3]
[8,6,1,4,7,5,2,3]=>[6,5,1,2,8,7,4,3]
[5,1,8,2,6,7,4,3]=>[5,8,4,7,1,2,6,3]
[3,8,5,1,6,7,4,2]=>[5,4,3,8,7,2,6,1]
[4,1,5,6,7,3,8,2]=>[4,8,7,1,5,6,3,2]
[4,1,5,6,7,3,2,8]=>[4,3,7,1,5,6,2,8]
[2,8,1,5,6,7,4,3]=>[8,2,4,7,1,5,6,3]
[1,5,8,2,6,7,4,3]=>[1,8,4,7,5,2,6,3]
[5,8,6,1,7,4,3,2]=>[6,3,4,8,5,7,2,1]
[8,5,2,6,7,4,3,1]=>[3,4,7,5,8,2,6,1]
[8,5,3,6,7,4,2,1]=>[2,4,7,5,8,1,6,3]
[7,1,3,6,5,2,8,4]=>[7,5,1,6,8,3,4,2]
[8,2,1,4,5,7,6,3]=>[2,8,6,1,4,7,5,3]
[1,4,7,5,2,3,8,6]=>[1,5,2,4,7,8,3,6]
[6,1,7,5,4,2,8,3]=>[6,4,5,7,8,1,2,3]
[2,7,3,6,5,1,8,4]=>[5,2,6,7,8,4,3,1]
[8,6,5,1,3,7,4,2]=>[5,4,1,6,8,7,3,2]
[5,7,6,2,4,8,1,3]=>[8,6,1,2,5,7,4,3]
[3,7,5,6,4,8,1,2]=>[8,1,3,6,7,5,4,2]
[7,6,8,1,3,5,4,2]=>[8,4,1,5,3,7,6,2]
[2,8,4,6,1,7,5,3]=>[6,2,5,7,8,3,1,4]
[2,8,6,4,7,3,5,1]=>[5,2,7,6,3,8,4,1]
[8,7,1,4,6,5,3,2]=>[7,3,5,1,6,4,8,2]
[3,5,8,6,7,1,4,2]=>[7,4,3,1,5,8,6,2]
[1,2,4,6,8,5,3,7]=>[1,2,5,4,8,6,3,7]
[3,1,5,8,6,2,4,7]=>[3,6,1,2,5,8,4,7]
[2,5,4,6,8,1,3,7]=>[8,2,1,5,4,6,3,7]
[6,5,2,4,7,8,1,3]=>[8,5,1,2,6,4,7,3]
[7,2,5,8,6,4,1,3]=>[4,6,1,8,2,7,5,3]
[5,2,8,3,4,7,6,1]=>[6,5,7,1,2,8,4,3]
[2,4,3,8,7,1,6,5]=>[7,2,4,3,6,1,8,5]
[1,5,8,7,4,2,6,3]=>[1,4,7,6,5,3,8,2]
[6,8,7,5,4,3,1,2]=>[3,1,4,5,7,6,8,2]
[5,3,4,8,6,2,7,1]=>[7,6,5,3,4,8,2,1]
[4,5,2,6,3,8,7,1]=>[7,5,6,4,2,3,8,1]
[4,3,5,8,6,2,7,1]=>[7,6,4,3,5,8,2,1]
[3,4,5,8,6,2,7,1]=>[7,6,3,4,5,8,2,1]
[5,2,6,3,4,8,7,1]=>[7,5,6,3,2,4,8,1]
[7,6,1,5,2,4,8,3]=>[6,5,7,2,3,8,4,1]
[5,4,2,3,6,1,8,7]=>[6,4,2,5,3,1,8,7]
[4,1,7,3,2,6,8,5]=>[4,3,7,1,8,2,6,5]
[6,1,8,5,4,7,2,3]=>[6,7,2,5,8,1,4,3]
[5,1,7,4,3,6,8,2]=>[5,8,4,7,1,3,6,2]
[8,1,5,7,6,4,2,3]=>[8,4,2,6,1,7,5,3]
[4,3,7,6,8,2,1,5]=>[2,8,4,3,1,7,6,5]
[8,1,4,7,2,3,5,6]=>[8,7,2,1,3,5,4,6]
[3,2,7,1,5,6,8,4]=>[7,3,2,8,1,5,6,4]
[6,1,8,5,2,7,3,4]=>[6,5,8,2,7,1,3,4]
[8,7,2,6,3,1,4,5]=>[3,6,7,2,4,1,8,5]
[6,5,2,4,7,1,8,3]=>[7,5,6,3,8,4,1,2]
[5,4,2,3,7,1,8,6]=>[7,4,2,5,3,8,1,6]
[8,7,1,6,4,5,2,3]=>[7,5,2,6,4,1,8,3]
[5,4,1,3,7,2,8,6]=>[4,5,2,7,3,8,1,6]
[6,5,1,4,7,3,8,2]=>[5,6,8,2,7,4,1,3]
[7,6,1,5,8,4,2,3]=>[6,4,1,7,2,8,5,3]
[8,6,3,7,2,5,4,1]=>[4,5,7,6,3,8,1,2]
[4,7,8,3,2,6,5,1]=>[5,3,6,4,8,1,7,2]
[8,3,4,7,6,2,1,5]=>[2,6,7,1,3,8,4,5]
[8,4,5,7,1,3,2,6]=>[7,3,1,8,4,2,5,6]
[3,1,8,7,5,2,4,6]=>[3,5,1,2,7,4,8,6]
[6,5,8,7,2,4,3,1]=>[3,4,7,1,6,5,8,2]
[5,4,6,1,8,3,2,7]=>[6,3,8,5,4,1,2,7]
[4,3,6,5,8,2,1,7]=>[2,8,4,3,6,5,1,7]
[7,6,3,2,8,5,4,1]=>[4,3,5,8,6,7,2,1]
[3,2,6,8,7,1,4,5]=>[7,3,2,1,4,6,8,5]
[3,8,2,7,6,1,4,5]=>[6,7,3,2,4,8,1,5]
[2,4,5,1,8,7,3,6]=>[5,2,7,4,1,3,8,6]
[4,3,7,1,8,5,2,6]=>[7,5,4,3,8,2,1,6]
[3,7,6,8,2,1,4,5]=>[2,8,3,1,4,7,6,5]
[7,4,2,6,1,8,3,5]=>[6,4,7,8,2,3,1,5]
[7,4,6,1,8,3,2,5]=>[6,3,8,7,2,4,1,5]
[3,6,8,7,2,1,4,5]=>[2,7,3,1,4,6,8,5]
[3,8,7,2,5,6,1,4]=>[6,7,3,1,2,5,8,4]
[3,2,8,5,6,7,1,4]=>[7,3,2,1,8,5,6,4]
[7,3,6,2,5,8,1,4]=>[8,6,7,1,2,3,5,4]
[8,3,2,1,4,7,5,6]=>[2,3,8,1,7,5,4,6]
[3,7,6,2,8,1,4,5]=>[8,6,3,1,4,7,2,5]
[7,4,2,1,6,8,3,5]=>[2,4,7,8,1,3,6,5]
[7,3,1,8,5,4,2,6]=>[3,7,4,5,8,1,2,6]
[6,8,3,2,7,1,4,5]=>[7,3,8,1,4,6,2,5]
[4,7,3,1,8,5,2,6]=>[3,7,5,4,8,1,2,6]
[8,3,6,2,5,7,1,4]=>[7,6,8,1,2,3,5,4]
[3,7,2,5,6,8,1,4]=>[8,7,3,1,2,5,6,4]
[4,6,8,2,1,7,3,5]=>[2,8,7,4,3,6,1,5]
[3,7,8,2,5,6,1,4]=>[6,8,3,1,2,5,7,4]
[7,5,1,4,2,3,6,8]=>[5,4,2,1,7,3,6,8]
[7,8,6,1,2,4,5,3]=>[6,1,5,2,4,8,7,3]
[1,5,3,4,7,8,6,2]=>[1,6,5,3,4,8,7,2]
[5,1,2,4,7,8,6,3]=>[5,1,6,2,4,8,7,3]
[5,1,7,8,6,2,3,4]=>[5,6,2,3,1,8,7,4]
[8,5,1,6,7,2,3,4]=>[5,8,1,3,7,2,6,4]
[7,5,1,2,4,6,8,3]=>[5,1,7,3,8,4,6,2]
[6,1,5,2,7,3,4,8]=>[6,5,7,3,1,2,4,8]
[7,1,2,6,4,5,8,3]=>[7,1,8,6,4,2,5,3]
[1,7,3,6,4,5,8,2]=>[1,8,7,6,4,3,5,2]
[1,8,3,6,4,5,7,2]=>[1,7,8,6,4,3,5,2]
[8,1,6,2,7,3,4,5]=>[8,6,7,3,4,1,2,5]
[7,1,6,2,5,3,4,8]=>[7,6,5,3,2,1,4,8]
[8,1,6,2,5,3,4,7]=>[8,6,5,3,2,1,4,7]
[8,1,7,2,5,3,4,6]=>[8,7,5,3,2,4,1,6]
[8,1,2,7,4,5,6,3]=>[8,1,6,7,4,5,2,3]
[1,8,3,7,4,5,6,2]=>[1,6,8,7,4,5,3,2]
[8,1,6,7,5,2,3,4]=>[8,5,2,3,7,1,6,4]
[7,3,1,2,6,4,5,8]=>[3,1,7,6,4,2,5,8]
[3,1,2,8,5,6,7,4]=>[3,1,2,7,8,5,6,4]
[6,3,1,2,7,4,5,8]=>[3,1,6,7,4,2,5,8]
[6,1,7,4,2,3,5,8]=>[6,4,2,7,3,1,5,8]
[1,7,3,4,6,8,5,2]=>[1,5,8,2,7,4,6,3]
[1,7,3,8,4,5,6,2]=>[1,6,7,8,4,5,3,2]
[7,1,8,2,5,3,4,6]=>[7,8,5,3,2,4,1,6]
[6,1,7,2,5,3,4,8]=>[6,7,5,3,2,1,4,8]
[5,1,7,2,6,3,4,8]=>[5,7,6,3,1,2,4,8]
[5,1,8,2,6,3,4,7]=>[5,8,6,3,1,2,4,7]
[1,6,3,7,4,5,8,2]=>[1,8,6,7,4,3,5,2]
[2,5,7,3,4,1,8,6]=>[4,2,7,3,5,8,1,6]
[2,4,7,3,5,1,6,8]=>[5,2,7,4,3,1,6,8]
[2,5,8,4,3,6,1,7]=>[6,2,4,8,5,3,1,7]
[3,7,2,8,5,4,1,6]=>[4,5,3,8,7,1,2,6]
[2,4,8,6,3,5,1,7]=>[5,2,6,4,3,8,1,7]
[2,3,7,5,4,1,6,8]=>[4,2,3,5,7,1,6,8]
[3,4,6,2,1,5,8,7]=>[2,6,3,4,1,5,8,7]
[3,4,7,2,1,6,5,8]=>[2,7,3,4,6,1,5,8]
[3,6,8,5,4,1,2,7]=>[4,1,3,5,8,6,2,7]
[2,6,8,3,5,1,4,7]=>[5,2,8,1,3,6,4,7]
[2,5,8,3,4,1,7,6]=>[4,2,8,3,5,7,1,6]
[3,5,8,4,2,1,7,6]=>[2,4,3,8,5,7,1,6]
[2,3,6,1,5,8,4,7]=>[6,2,3,8,1,5,4,7]
[2,3,7,1,6,5,8,4]=>[7,2,3,8,6,1,5,4]
[2,4,7,1,3,6,8,5]=>[7,2,1,4,8,3,6,5]
[5,4,7,8,1,3,2,6]=>[8,3,1,5,4,2,7,6]
[4,6,3,8,1,5,2,7]=>[8,5,6,4,1,3,2,7]
[2,5,7,1,4,6,3,8]=>[7,2,6,1,5,4,3,8]
[2,4,7,1,6,3,5,8]=>[7,2,6,4,3,1,5,8]
[2,3,7,1,6,5,4,8]=>[7,2,3,5,6,1,4,8]
[2,5,7,1,4,3,6,8]=>[7,2,4,1,5,3,6,8]
[2,5,7,3,1,4,6,8]=>[3,2,7,1,5,4,6,8]
[3,4,7,2,1,6,8,5]=>[2,7,3,4,8,1,6,5]
[4,6,3,7,1,5,2,8]=>[7,5,6,4,1,3,2,8]
[5,7,3,2,8,1,4,6]=>[8,3,7,1,5,4,2,6]
[4,6,3,7,1,5,8,2]=>[7,8,6,4,1,3,5,2]
[3,6,5,7,1,8,2,4]=>[7,8,3,2,6,5,1,4]
[2,6,5,7,1,8,4,3]=>[7,2,4,8,6,5,1,3]
[3,6,8,5,4,1,7,2]=>[4,5,3,8,7,6,1,2]
[2,6,8,3,5,1,7,4]=>[5,2,8,7,3,6,1,4]
[5,4,7,8,1,3,6,2]=>[8,6,1,5,4,3,7,2]
[2,5,7,1,4,6,8,3]=>[7,2,8,1,5,4,6,3]
[2,4,7,1,6,3,8,5]=>[7,2,6,4,8,1,3,5]
[2,4,7,1,6,8,3,5]=>[7,2,8,4,3,1,6,5]
[2,6,5,8,1,7,4,3]=>[8,2,4,7,6,5,1,3]
[2,4,8,3,1,7,6,5]=>[3,2,8,4,6,7,1,5]
[5,3,6,4,7,1,2,8]=>[7,1,5,6,3,4,2,8]
[8,6,5,1,2,4,3,7]=>[5,1,4,2,6,8,3,7]
[7,6,1,4,2,3,5,8]=>[6,4,2,1,3,7,5,8]
[6,5,1,4,7,2,3,8]=>[5,6,1,2,7,4,3,8]
[6,5,4,8,1,3,2,7]=>[8,3,1,5,6,4,2,7]
[7,5,4,8,3,1,2,6]=>[3,1,8,5,7,2,4,6]
[2,6,3,5,7,4,8,1]=>[8,2,6,7,3,5,4,1]
[2,6,3,5,8,4,1,7]=>[4,2,8,6,1,5,3,7]
[6,5,1,4,8,3,2,7]=>[5,3,6,2,8,4,1,7]
[7,6,5,2,4,8,3,1]=>[3,8,5,1,6,7,4,2]
[7,6,5,3,8,2,1,4]=>[2,8,5,1,6,7,3,4]
[8,7,6,3,1,2,5,4]=>[3,1,6,5,2,7,8,4]
[8,7,1,4,3,2,5,6]=>[7,3,4,1,2,5,8,6]
[2,8,3,7,4,1,5,6]=>[4,2,7,8,3,5,1,6]
[2,7,3,6,1,5,8,4]=>[6,2,7,8,1,3,5,4]
[7,6,1,4,2,5,8,3]=>[6,4,7,3,2,8,5,1]
[8,7,5,1,4,2,3,6]=>[5,4,2,1,7,3,8,6]
[6,3,7,4,2,8,1,5]=>[8,4,7,6,1,2,3,5]
[6,3,7,4,1,5,8,2]=>[4,7,8,6,2,1,5,3]
[7,4,1,2,5,3,8,6]=>[4,1,7,5,3,8,2,6]
[2,4,3,7,5,1,8,6]=>[5,2,4,3,7,8,1,6]
[8,4,1,2,5,3,6,7]=>[4,1,8,5,3,2,6,7]
[7,3,8,4,2,5,1,6]=>[5,4,8,7,3,1,2,6]
[7,3,8,4,2,5,6,1]=>[6,4,8,7,3,5,2,1]
[8,7,5,1,4,2,6,3]=>[5,4,7,3,6,2,8,1]
[8,6,1,4,2,5,3,7]=>[6,4,5,1,2,8,3,7]
[8,7,1,4,3,2,6,5]=>[7,3,4,1,6,2,8,5]
[8,7,6,3,1,4,5,2]=>[3,6,5,2,4,7,8,1]
[8,7,6,3,1,5,4,2]=>[3,6,4,5,2,7,8,1]
[2,8,3,7,4,5,1,6]=>[5,2,8,7,4,1,3,6]
[2,8,3,7,4,5,6,1]=>[6,2,8,7,4,5,3,1]
[8,7,5,2,4,3,6,1]=>[6,5,4,2,7,3,8,1]
[4,2,5,7,3,1,6,8]=>[3,7,4,1,5,2,6,8]
[8,2,4,5,3,1,6,7]=>[3,5,8,1,4,2,6,7]
[8,4,5,1,3,2,6,7]=>[5,3,1,8,4,2,6,7]
[4,3,7,5,2,1,6,8]=>[2,5,4,3,7,1,6,8]
[1,6,7,4,3,2,5,8]=>[1,3,4,7,2,6,5,8]
[1,4,5,7,3,2,6,8]=>[1,3,7,4,5,2,6,8]
[3,5,1,4,7,2,6,8]=>[5,7,3,1,4,2,6,8]
[2,5,1,4,7,8,3,6]=>[5,2,8,1,4,3,7,6]
[4,3,7,1,5,2,6,8]=>[7,5,4,3,1,2,6,8]
[3,5,1,6,4,2,7,8]=>[5,4,3,6,1,2,7,8]
[6,4,3,1,7,2,5,8]=>[3,4,6,7,2,1,5,8]
[6,2,7,4,3,1,5,8]=>[3,4,7,6,1,2,5,8]
[2,6,4,1,7,3,5,8]=>[4,2,6,7,1,3,5,8]
[6,3,2,7,4,5,1,8]=>[5,3,6,7,4,2,1,8]
[7,2,4,1,3,6,8,5]=>[4,7,1,2,8,3,6,5]
[6,3,2,5,7,1,4,8]=>[7,3,6,1,2,5,4,8]
[3,2,6,5,7,1,4,8]=>[7,3,2,1,6,5,4,8]
[1,7,3,2,5,6,4,8]=>[1,3,7,6,2,5,4,8]
[2,1,7,3,5,6,8,4]=>[2,1,7,8,3,5,6,4]
[2,1,6,3,5,7,8,4]=>[2,1,6,8,3,5,7,4]
[1,6,3,2,5,7,4,8]=>[1,3,6,7,2,5,4,8]
[1,4,6,5,2,7,3,8]=>[1,5,6,4,7,3,2,8]
[5,6,2,1,4,3,7,8]=>[2,6,4,1,5,3,7,8]
[2,5,1,6,4,3,7,8]=>[5,2,4,6,1,3,7,8]
[2,5,4,1,6,3,7,8]=>[4,2,5,6,3,1,7,8]
[4,6,1,5,2,7,3,8]=>[6,5,7,4,1,2,3,8]
[1,6,5,3,7,2,4,8]=>[1,7,5,2,6,3,4,8]
[1,2,4,7,5,3,6,8]=>[1,2,5,4,7,3,6,8]
[1,2,5,4,7,3,6,8]=>[1,2,7,5,4,3,6,8]
[1,2,5,3,4,8,7,6]=>[1,2,5,3,4,7,8,6]
[5,4,7,6,1,2,3,8]=>[6,1,2,5,4,7,3,8]
[4,3,7,6,5,1,2,8]=>[5,1,4,3,6,7,2,8]
[4,8,3,6,5,1,2,7]=>[5,1,6,4,8,2,3,7]
[5,3,7,6,1,8,2,4]=>[6,7,5,1,3,8,2,4]
[4,2,7,6,5,1,8,3]=>[5,4,6,2,7,8,1,3]
[5,2,7,6,1,8,4,3]=>[6,5,4,7,2,8,3,1]
[7,8,1,3,6,5,4,2]=>[8,4,1,5,6,3,7,2]
[5,8,2,6,1,7,4,3]=>[6,8,4,7,5,2,1,3]
[1,5,3,7,6,2,8,4]=>[1,6,5,7,3,8,4,2]
[1,6,3,7,2,8,5,4]=>[1,7,6,5,8,3,2,4]
[1,7,8,2,4,6,5,3]=>[1,8,5,2,6,4,7,3]
[1,5,8,3,6,2,7,4]=>[1,6,8,7,5,3,2,4]
[6,8,7,1,4,5,2,3]=>[7,5,2,1,4,6,8,3]
[7,8,1,4,6,5,2,3]=>[8,5,2,1,6,4,7,3]
[5,8,7,3,1,6,2,4]=>[3,7,6,1,5,2,8,4]
[1,2,6,4,7,3,8,5]=>[1,2,7,6,8,4,3,5]
[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]
[1,6,8,7,2,4,5,3]=>[1,7,5,2,4,6,8,3]
[6,8,7,1,2,4,5,3]=>[7,1,5,2,4,6,8,3]
[4,8,7,6,2,1,5,3]=>[2,6,5,4,1,7,8,3]
[5,4,2,3,8,6,1,7]=>[6,4,2,5,3,8,1,7]
[2,6,3,4,1,5,8,7]=>[4,2,6,3,1,5,8,7]
[5,6,2,1,4,3,8,7]=>[2,6,4,1,5,3,8,7]
[5,6,2,3,4,1,8,7]=>[4,6,2,3,5,1,8,7]
[2,7,4,5,8,1,6,3]=>[8,2,6,7,4,1,5,3]
[2,6,1,8,5,4,3,7]=>[6,2,4,5,8,1,3,7]
[5,8,6,2,3,4,1,7]=>[4,6,2,3,5,8,1,7]
[5,8,6,2,1,4,3,7]=>[2,6,4,1,5,8,3,7]
[4,5,8,6,2,1,3,7]=>[2,6,1,4,5,8,3,7]
[6,4,7,5,8,2,1,3]=>[2,8,1,6,7,4,5,3]
[6,3,7,4,2,5,8,1]=>[8,4,7,6,3,2,5,1]
[4,8,2,1,5,7,6,3]=>[2,8,6,4,1,7,5,3]
[2,1,4,8,5,6,3,7]=>[2,1,6,4,8,5,3,7]
[4,8,5,6,2,1,3,7]=>[2,6,1,4,8,5,3,7]
[6,2,1,5,8,4,3,7]=>[2,6,4,8,1,5,3,7]
[7,5,6,2,4,3,8,1]=>[8,6,4,2,7,5,3,1]
[2,8,6,3,4,1,5,7]=>[4,2,6,3,1,8,5,7]
[2,6,3,4,1,8,5,7]=>[4,2,6,3,8,1,5,7]
[4,6,2,5,7,3,8,1]=>[8,6,7,4,2,5,3,1]
[4,2,8,5,3,6,1,7]=>[6,4,5,2,8,3,1,7]
[2,3,6,4,1,8,5,7]=>[4,2,3,6,8,1,5,7]
[2,3,6,7,8,4,1,5]=>[4,2,3,8,1,6,7,5]
[7,8,4,2,5,3,6,1]=>[6,4,8,5,3,2,7,1]
[6,2,4,5,8,1,7,3]=>[8,6,7,2,4,5,1,3]
[8,1,7,4,5,6,2,3]=>[8,6,2,7,4,5,1,3]
[2,7,8,3,4,1,6,5]=>[4,2,8,3,6,1,7,5]
[2,1,7,8,4,3,6,5]=>[2,1,4,8,6,3,7,5]
[4,2,5,7,8,3,6,1]=>[6,4,8,2,5,3,7,1]
[7,8,3,5,6,2,4,1]=>[4,6,8,2,3,5,7,1]
[6,2,1,4,5,7,8,3]=>[2,6,8,1,4,5,7,3]
[2,1,7,8,4,5,6,3]=>[2,1,6,8,4,5,7,3]
[8,2,1,4,3,7,6,5]=>[2,8,4,1,6,7,3,5]
[6,4,2,3,8,1,7,5]=>[8,4,2,6,7,3,1,5]
[6,5,4,2,1,8,3,7]=>[2,4,5,6,8,1,3,7]
[5,4,3,1,8,6,2,7]=>[3,4,5,6,1,8,2,7]
[7,6,5,3,1,2,8,4]=>[3,1,5,6,7,8,2,4]
[6,5,4,1,2,8,7,3]=>[4,1,5,6,7,2,8,3]
[6,5,3,2,1,8,4,7]=>[2,3,5,6,8,4,1,7]
[5,4,1,6,2,8,3,7]=>[4,5,6,8,2,3,1,7]
[4,3,1,8,6,5,2,7]=>[3,4,5,2,6,8,1,7]
[5,4,2,1,8,6,3,7]=>[2,4,5,6,3,8,1,7]
[4,1,6,5,2,8,3,7]=>[4,5,6,1,8,3,2,7]
[6,5,3,1,4,7,8,2]=>[3,5,6,1,8,4,7,2]
[6,2,3,1,7,8,4,5]=>[3,6,2,8,4,1,7,5]
[3,1,8,6,7,2,4,5]=>[3,7,1,2,4,8,6,5]
[6,5,1,4,2,3,7,8]=>[5,4,2,1,6,3,7,8]
[5,1,3,2,6,4,7,8]=>[5,3,1,6,2,4,7,8]
[4,7,8,2,3,6,1,5]=>[6,8,2,4,1,3,7,5]
[4,2,5,1,8,6,7,3]=>[5,4,7,2,1,8,6,3]
[7,5,8,1,4,2,6,3]=>[8,4,6,1,7,2,5,3]
[4,5,3,7,1,6,8,2]=>[7,8,5,4,3,1,6,2]
[4,2,8,5,3,6,7,1]=>[7,4,5,2,8,3,6,1]
[2,7,4,1,8,5,6,3]=>[4,2,7,6,8,5,3,1]
[5,2,8,1,4,7,6,3]=>[8,5,6,1,2,7,4,3]
[2,8,6,3,5,4,7,1]=>[7,2,6,5,3,8,4,1]
[3,5,2,8,6,4,7,1]=>[7,5,3,6,2,8,4,1]
[4,1,3,6,2,8,5,7]=>[4,6,1,3,8,2,5,7]
[5,2,4,7,6,1,8,3]=>[6,5,7,2,4,8,3,1]
[7,3,5,1,6,4,8,2]=>[5,8,7,6,3,1,4,2]
[7,5,2,3,6,1,4,8]=>[6,5,2,1,7,3,4,8]
[7,5,1,2,4,8,3,6]=>[5,1,7,3,8,2,4,6]
[6,2,5,8,4,7,1,3]=>[7,6,1,8,2,5,4,3]
[5,8,2,3,6,1,4,7]=>[6,8,2,1,5,3,4,7]
[5,1,4,7,2,6,8,3]=>[5,7,8,1,4,2,6,3]
[6,8,2,5,4,1,3,7]=>[4,5,2,8,1,6,3,7]
[7,1,6,3,2,4,5,8]=>[7,3,6,2,4,1,5,8]
[4,1,6,8,3,2,5,7]=>[4,3,8,1,2,6,5,7]
[1,6,5,8,2,3,7,4]=>[1,8,2,7,6,5,3,4]
[1,6,3,2,4,8,5,7]=>[1,3,6,2,8,4,5,7]
[2,5,7,1,6,4,8,3]=>[7,2,8,6,5,1,4,3]
[1,8,2,5,6,4,7,3]=>[1,8,7,6,2,5,4,3]
[2,4,8,3,7,5,1,6]=>[5,2,7,4,8,3,1,6]
[4,7,6,1,5,2,3,8]=>[6,5,2,4,1,7,3,8]
[3,7,4,6,1,8,5,2]=>[6,5,3,8,7,2,1,4]
[5,6,2,3,8,1,4,7]=>[8,6,2,1,5,3,4,7]
[5,6,1,2,4,7,3,8]=>[6,1,7,2,5,4,3,8]
[4,7,1,3,8,6,2,5]=>[7,6,1,4,2,8,3,5]
[2,7,1,4,8,5,6,3]=>[7,2,6,1,8,5,4,3]
[2,5,4,8,1,6,3,7]=>[8,2,6,5,4,1,3,7]
[1,6,3,4,7,2,8,5]=>[1,7,6,3,8,4,2,5]
[2,8,4,6,1,3,7,5]=>[6,2,1,8,7,4,3,5]
[8,4,6,2,5,3,7,1]=>[7,6,5,8,2,4,3,1]
[8,3,7,6,2,1,5,4]=>[2,6,7,5,3,8,1,4]
[8,5,2,7,6,1,4,3]=>[6,5,4,2,7,8,1,3]
[5,8,2,7,6,1,4,3]=>[6,7,4,2,5,8,1,3]
[8,3,7,6,2,5,1,4]=>[5,6,7,1,3,8,2,4]
[7,3,8,6,5,1,4,2]=>[5,4,6,1,8,7,3,2]
[6,2,4,7,5,3,8,1]=>[8,6,5,2,7,4,3,1]
[7,1,3,2,5,8,6,4]=>[7,3,1,6,2,8,5,4]
[2,6,3,7,5,4,8,1]=>[8,2,6,5,7,3,4,1]
[3,7,4,5,2,6,8,1]=>[8,5,3,7,4,2,6,1]
[7,1,3,4,5,8,6,2]=>[7,6,1,3,4,8,5,2]
[3,1,4,6,8,7,5,2]=>[3,5,1,4,7,6,8,2]
[2,7,5,1,4,8,6,3]=>[5,2,7,3,6,8,4,1]
[5,4,7,1,3,8,6,2]=>[7,6,1,5,4,8,3,2]
[7,8,4,6,2,1,3,5]=>[2,6,1,8,3,4,7,5]
[1,8,2,6,4,7,3,5]=>[1,8,7,6,3,2,4,5]
[2,8,5,1,4,7,3,6]=>[5,2,8,3,7,1,4,6]
[3,1,7,2,4,8,6,5]=>[3,7,1,2,6,8,4,5]
[1,6,7,5,2,8,4,3]=>[1,5,4,7,8,6,3,2]
[7,6,3,1,8,2,5,4]=>[3,6,7,5,2,8,1,4]
[8,1,7,6,3,4,2,5]=>[8,4,6,3,2,7,1,5]
[8,1,4,2,5,7,3,6]=>[8,4,7,1,2,3,5,6]
[7,2,6,5,8,4,3,1]=>[3,4,8,7,6,2,5,1]
[4,3,2,8,5,6,1,7]=>[6,3,4,2,8,5,1,7]
[2,7,3,8,4,5,1,6]=>[5,2,7,8,4,1,3,6]
[3,5,8,4,6,2,1,7]=>[2,6,3,8,5,4,1,7]
[8,5,2,3,7,1,4,6]=>[7,5,2,1,8,4,3,6]
[3,4,8,5,6,2,7,1]=>[7,6,3,4,8,5,2,1]
[3,2,8,6,4,5,7,1]=>[7,3,2,6,4,8,5,1]
[5,8,2,3,4,6,1,7]=>[6,8,2,3,5,4,1,7]
[6,1,3,4,2,5,7,8]=>[6,4,1,3,2,5,7,8]
[1,5,6,3,2,4,7,8]=>[1,3,6,2,5,4,7,8]
[6,3,5,2,4,1,7,8]=>[4,5,6,2,3,1,7,8]
[7,8,3,5,2,4,6,1]=>[6,5,8,2,3,4,7,1]
[2,4,5,7,3,6,1,8]=>[6,2,7,4,5,3,1,8]
[2,5,3,1,6,4,7,8]=>[3,2,5,6,1,4,7,8]
[6,5,1,3,4,2,7,8]=>[5,4,1,3,6,2,7,8]
[5,7,4,3,2,6,1,8]=>[6,3,4,7,5,2,1,8]
[6,8,7,4,3,5,1,2]=>[5,1,4,7,3,6,8,2]
[2,6,7,8,4,3,5,1]=>[5,2,4,8,3,6,7,1]
[1,7,8,4,5,3,6,2]=>[1,6,5,8,4,3,7,2]
[7,1,8,5,3,4,6,2]=>[7,6,5,3,8,4,1,2]
[5,7,4,2,1,6,3,8]=>[2,4,7,6,5,3,1,8]
[5,1,4,7,3,6,2,8]=>[5,6,7,1,4,3,2,8]
[7,4,8,6,3,5,2,1]=>[2,5,6,8,4,7,3,1]
[4,7,6,3,5,2,1,8]=>[2,5,6,4,3,7,1,8]
[1,6,5,8,7,4,2,3]=>[1,4,2,7,6,5,8,3]
[6,1,3,8,7,5,2,4]=>[6,5,1,2,7,3,8,4]
[7,6,2,1,8,3,5,4]=>[2,6,7,5,1,8,3,4]
[7,1,3,6,8,2,5,4]=>[7,8,1,5,2,3,6,4]
[1,7,5,6,8,2,4,3]=>[1,8,4,2,7,5,6,3]
[3,6,7,5,8,2,4,1]=>[4,8,3,2,7,6,5,1]
[1,7,4,5,2,8,6,3]=>[1,5,6,8,3,7,2,4]
[7,5,4,2,1,8,6,3]=>[2,4,5,7,6,8,1,3]
[3,6,7,4,2,8,5,1]=>[5,4,3,8,7,6,1,2]
[4,6,3,2,7,8,5,1]=>[5,3,8,4,6,1,7,2]
[7,6,1,3,4,2,5,8]=>[6,4,1,3,2,7,5,8]
[7,8,2,6,4,5,3,1]=>[3,5,8,6,4,1,7,2]
[7,2,5,4,6,1,3,8]=>[6,7,1,5,2,4,3,8]
[7,1,2,4,5,6,3,8]=>[7,1,6,2,4,5,3,8]
[7,3,2,1,5,6,4,8]=>[2,3,7,6,1,5,4,8]
[3,6,2,1,7,5,4,8]=>[2,6,3,5,7,1,4,8]
[2,6,7,3,1,5,4,8]=>[3,2,7,5,1,6,4,8]
[2,1,6,4,7,5,3,8]=>[2,1,5,7,6,3,4,8]
[7,2,8,5,6,4,3,1]=>[3,4,6,7,8,5,2,1]
[7,6,8,5,4,1,3,2]=>[4,3,1,5,8,7,6,2]
[7,1,8,4,6,5,3,2]=>[7,3,5,6,8,2,1,4]
[7,8,6,3,1,5,4,2]=>[3,6,4,5,2,8,7,1]
[7,6,1,4,5,3,2,8]=>[6,3,5,1,4,7,2,8]
[7,1,5,6,4,3,2,8]=>[7,3,4,6,1,5,2,8]
[4,1,3,8,6,2,7,5]=>[4,6,1,3,8,7,5,2]
[3,5,8,2,1,6,7,4]=>[2,8,3,7,5,1,6,4]
[5,1,2,8,4,6,7,3]=>[5,1,7,8,2,4,6,3]
[5,6,3,2,8,1,7,4]=>[8,3,6,7,5,2,1,4]
[8,2,6,3,1,5,7,4]=>[3,6,8,7,2,1,5,4]
[8,2,5,3,6,1,7,4]=>[6,8,5,7,2,3,1,4]
[5,1,2,4,6,8,7,3]=>[5,1,7,2,4,6,8,3]
[8,2,5,6,7,4,3,1]=>[3,4,7,8,2,5,6,1]
[5,1,6,4,7,3,2,8]=>[5,3,7,6,1,4,2,8]
[8,2,5,3,4,7,6,1]=>[6,7,5,3,1,8,4,2]
[8,2,5,3,4,7,1,6]=>[7,8,5,3,2,1,4,6]
[7,5,3,2,4,1,8,6]=>[4,3,5,2,7,8,1,6]
[7,1,2,3,6,8,4,5]=>[7,1,2,8,4,3,6,5]
[8,2,5,3,4,1,6,7]=>[4,8,5,3,2,1,6,7]
[5,7,3,6,8,4,1,2]=>[4,1,8,7,5,2,6,3]
[7,1,6,8,5,3,4,2]=>[7,4,5,3,8,1,6,2]
[6,7,2,8,3,4,5,1]=>[5,7,8,3,4,6,2,1]
[3,7,8,6,5,4,1,2]=>[4,1,3,5,6,8,7,2]
[3,1,8,4,6,5,2,7]=>[3,5,1,6,8,2,4,7]
[4,1,3,8,6,5,2,7]=>[4,5,1,3,6,8,2,7]
[8,2,4,1,6,5,7,3]=>[4,8,7,2,6,1,5,3]
[3,1,8,4,6,5,7,2]=>[3,7,1,8,6,4,5,2]
[7,6,2,8,3,1,5,4]=>[3,8,6,5,2,7,1,4]
[7,1,6,8,5,3,2,4]=>[7,3,5,2,8,1,6,4]
[7,1,6,4,8,3,2,5]=>[7,3,8,6,2,1,4,5]
[6,1,2,3,8,4,7,5]=>[6,1,2,8,7,3,4,5]
[6,5,2,4,3,1,8,7]=>[3,4,5,1,6,2,8,7]
[8,2,5,3,4,6,1,7]=>[6,8,5,3,2,4,1,7]
[8,2,5,3,4,6,7,1]=>[7,8,5,3,2,4,6,1]
[6,5,2,4,3,1,7,8]=>[3,4,5,1,6,2,7,8]
[8,1,6,7,4,2,5,3]=>[8,4,7,5,3,1,6,2]
[8,1,6,7,4,2,3,5]=>[8,4,2,7,3,1,6,5]
[8,1,6,4,5,2,3,7]=>[8,5,2,6,4,1,3,7]
[8,1,6,4,5,2,7,3]=>[8,5,7,6,4,1,2,3]
[8,6,4,7,2,3,5,1]=>[5,7,2,6,3,8,4,1]
[8,6,4,1,2,3,7,5]=>[4,1,2,6,8,7,5,3]
[8,6,1,4,2,5,7,3]=>[6,4,8,3,2,7,5,1]
[8,6,1,4,5,2,7,3]=>[6,5,8,3,4,7,2,1]
[8,6,7,4,2,5,1,3]=>[5,4,1,7,2,8,6,3]
[8,6,4,2,5,3,7,1]=>[7,4,6,5,3,8,2,1]
[8,6,4,2,5,3,1,7]=>[3,5,4,6,1,8,2,7]
[8,6,4,2,7,3,1,5]=>[3,7,4,6,2,8,1,5]
[8,6,4,1,5,7,2,3]=>[4,6,2,8,1,7,5,3]
[8,6,4,2,1,5,7,3]=>[2,4,6,8,1,7,5,3]
[8,6,4,2,1,7,3,5]=>[2,4,6,8,3,7,1,5]
[8,6,1,4,7,2,5,3]=>[6,8,5,2,1,7,4,3]
[8,6,4,1,5,2,3,7]=>[4,6,1,5,2,8,3,7]
[8,6,1,4,7,2,3,5]=>[6,8,1,2,3,7,4,5]
[8,6,7,1,4,5,2,3]=>[7,5,2,1,4,8,6,3]
[8,6,4,5,2,7,3,1]=>[3,7,5,6,4,8,1,2]
[8,6,7,4,2,1,5,3]=>[2,4,7,5,3,8,6,1]
[8,6,4,7,2,1,5,3]=>[2,7,5,6,1,8,4,3]
[8,6,4,2,5,7,3,1]=>[3,7,4,6,1,8,5,2]
[8,6,4,2,5,1,7,3]=>[5,4,6,8,2,7,1,3]
[8,6,4,5,1,2,7,3]=>[5,1,7,6,4,8,2,3]
[8,6,4,2,5,7,1,3]=>[7,4,1,6,2,8,5,3]
[3,4,7,5,8,2,6,1]=>[6,8,3,4,7,2,5,1]
[8,7,1,4,6,5,2,3]=>[7,5,2,1,6,4,8,3]
[8,3,7,6,4,5,1,2]=>[5,1,8,6,4,7,3,2]
[5,3,8,6,4,1,7,2]=>[4,6,8,5,1,7,3,2]
[7,4,5,1,2,8,6,3]=>[5,1,6,8,3,7,2,4]
[6,4,7,1,8,5,2,3]=>[7,5,2,8,6,3,1,4]
[5,7,4,2,3,8,6,1]=>[6,4,1,8,5,7,3,2]
[3,8,2,5,1,7,4,6]=>[5,8,3,7,2,4,1,6]
[5,8,4,2,3,7,1,6]=>[7,4,2,8,5,1,3,6]
[4,8,5,2,1,7,3,6]=>[2,5,8,4,7,1,3,6]
[8,5,7,6,1,2,4,3]=>[6,1,4,2,7,8,3,5]
[6,8,7,5,2,4,1,3]=>[4,5,1,2,7,6,8,3]
[5,7,6,8,4,1,3,2]=>[4,3,1,8,5,7,6,2]
[7,3,1,6,8,5,4,2]=>[3,7,4,5,8,2,6,1]
[5,3,1,7,4,8,6,2]=>[3,5,6,8,2,7,1,4]
[7,3,1,8,6,4,5,2]=>[3,7,5,6,4,8,2,1]
[8,6,4,1,7,3,2,5]=>[4,3,6,8,2,7,1,5]
[4,6,8,3,7,1,2,5]=>[7,1,8,4,2,6,3,5]
[3,5,2,8,4,7,1,6]=>[7,5,3,8,2,1,4,6]
[6,4,8,3,7,2,1,5]=>[2,7,8,6,1,4,3,5]
[3,6,2,8,7,4,1,5]=>[4,7,3,6,2,1,8,5]
[6,8,4,2,7,3,1,5]=>[3,7,4,8,2,6,1,5]
[5,4,8,6,7,3,2,1]=>[2,3,7,5,4,8,6,1]
[3,4,7,8,5,1,2,6]=>[5,1,3,4,8,2,7,6]
[4,7,3,2,5,6,8,1]=>[8,3,7,4,2,5,6,1]
[3,2,7,6,4,5,8,1]=>[8,3,2,6,4,7,5,1]
[1,7,3,6,8,4,2,5]=>[1,4,8,7,3,2,6,5]
[2,3,6,5,1,8,7,4]=>[5,2,3,6,7,4,8,1]
[8,3,1,2,6,4,7,5]=>[3,1,8,6,7,2,4,5]
[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]
[3,6,4,7,1,2,8,5]=>[7,1,3,6,8,4,2,5]
[5,7,4,8,1,3,2,6]=>[8,3,1,7,5,2,4,6]
[4,3,7,8,1,5,2,6]=>[8,5,4,3,1,2,7,6]
[8,5,4,2,6,1,7,3]=>[6,4,5,8,7,2,1,3]
[3,2,6,8,7,4,1,5]=>[4,3,2,7,1,6,8,5]
[2,3,7,5,1,8,6,4]=>[5,2,3,7,6,8,4,1]
[6,3,1,2,8,7,4,5]=>[3,1,6,7,4,2,8,5]
[5,2,1,3,8,7,6,4]=>[2,5,1,6,3,7,8,4]
[7,2,1,5,3,8,4,6]=>[2,7,5,8,1,4,3,6]
[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]
[4,3,6,8,1,5,2,7]=>[8,5,4,3,1,6,2,7]
[5,4,6,8,3,1,7,2]=>[3,8,7,5,4,6,2,1]
[3,6,8,4,5,1,7,2]=>[5,7,3,8,4,6,1,2]
[8,6,1,7,2,4,3,5]=>[6,8,4,1,3,7,2,5]
[7,3,1,2,8,6,4,5]=>[3,1,7,6,4,8,2,5]
[2,3,7,6,1,8,5,4]=>[6,2,3,5,7,8,4,1]
[3,2,7,8,6,4,1,5]=>[4,3,2,6,1,8,7,5]
[6,2,8,3,1,4,7,5]=>[3,8,6,2,7,1,4,5]
[3,1,2,8,7,4,5,6]=>[3,1,2,7,4,5,8,6]
[2,1,3,8,7,4,6,5]=>[2,1,3,7,6,4,8,5]
[2,1,3,8,7,4,5,6]=>[2,1,3,7,4,5,8,6]
[1,6,8,3,2,4,7,5]=>[1,3,8,2,7,6,4,5]
[8,5,1,7,2,4,3,6]=>[5,8,4,1,7,3,2,6]
[8,4,1,7,3,2,5,6]=>[4,3,8,7,1,5,2,6]
[8,3,1,6,2,7,5,4]=>[3,8,6,5,7,2,1,4]
[1,3,2,8,7,6,4,5]=>[1,3,2,6,4,7,8,5]
[2,1,3,8,7,6,4,5]=>[2,1,3,6,4,7,8,5]
[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]
[1,7,8,2,6,3,5,4]=>[1,8,6,5,3,2,7,4]
[1,6,3,7,2,5,4,8]=>[1,7,6,5,2,3,4,8]
[1,7,2,6,8,3,4,5]=>[1,7,8,3,4,2,6,5]
[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]
[4,7,6,5,8,3,1,2]=>[3,1,8,4,6,7,5,2]
[5,7,2,8,4,1,3,6]=>[4,8,2,7,5,3,1,6]
[3,6,8,4,2,1,7,5]=>[2,4,3,8,7,6,1,5]
[2,6,8,3,1,5,4,7]=>[3,2,8,5,1,6,4,7]
[2,6,8,3,1,4,5,7]=>[3,2,8,1,4,6,5,7]
[2,6,8,4,5,1,3,7]=>[5,2,1,8,4,6,3,7]
[5,6,2,8,4,1,3,7]=>[4,8,2,6,5,1,3,7]
[6,3,7,8,2,1,5,4]=>[2,8,6,5,1,3,7,4]
[2,4,8,3,1,6,7,5]=>[3,2,8,4,7,1,6,5]
[3,4,2,6,1,5,8,7]=>[6,4,3,2,1,5,8,7]
[2,5,8,3,1,6,4,7]=>[3,2,8,6,5,1,4,7]
[3,5,8,4,2,1,6,7]=>[2,4,3,8,5,1,6,7]
[2,5,8,3,1,4,6,7]=>[3,2,8,1,5,4,6,7]
[3,4,2,7,1,6,5,8]=>[7,4,3,2,6,1,5,8]
[2,7,5,6,8,1,4,3]=>[8,2,4,1,7,5,6,3]
[3,2,6,7,1,5,8,4]=>[7,3,2,8,1,6,5,4]
[2,8,1,3,5,7,4,6]=>[8,2,1,7,3,4,5,6]
[1,3,7,6,2,5,4,8]=>[1,6,3,5,2,7,4,8]
[2,8,7,1,4,3,5,6]=>[7,2,4,1,3,5,8,6]
[8,7,4,6,1,3,2,5]=>[6,3,1,7,2,4,8,5]
[7,3,8,6,1,4,5,2]=>[6,5,8,3,4,7,1,2]
[5,4,7,8,3,2,6,1]=>[6,3,8,5,4,2,7,1]
[3,2,5,4,6,8,1,7]=>[8,3,2,5,4,6,1,7]
[7,4,5,8,3,1,6,2]=>[3,8,6,7,4,2,5,1]
[1,5,4,7,3,2,6,8]=>[1,3,7,5,4,2,6,8]
[8,4,5,7,3,1,2,6]=>[3,1,7,8,4,2,5,6]
[3,4,8,5,7,1,2,6]=>[7,1,3,4,8,2,5,6]
[3,6,8,2,5,1,4,7]=>[5,8,3,1,2,6,4,7]
[3,6,8,7,2,5,4,1]=>[4,5,3,7,1,6,8,2]
[3,5,7,2,8,1,6,4]=>[8,7,3,6,5,1,2,4]
[4,7,6,8,3,5,2,1]=>[2,5,8,4,3,7,6,1]
[3,4,7,5,8,1,6,2]=>[8,6,3,4,7,1,5,2]
[3,4,6,5,8,2,1,7]=>[2,8,3,4,6,5,1,7]
[2,4,6,7,8,3,5,1]=>[5,2,8,4,3,6,7,1]
[1,4,2,5,7,6,3,8]=>[1,4,6,2,5,7,3,8]
[1,4,2,6,8,5,3,7]=>[1,4,5,2,8,6,3,7]
[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]
[1,6,8,3,5,4,2,7]=>[1,4,5,8,2,6,3,7]
[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]
[1,5,8,7,6,3,2,4]=>[1,3,6,2,5,7,8,4]
[1,5,7,6,3,2,4,8]=>[1,3,6,2,5,7,4,8]
[1,6,3,2,4,7,5,8]=>[1,3,6,2,7,4,5,8]
[1,6,3,2,4,8,7,5]=>[1,3,6,2,7,4,8,5]
[1,2,7,6,4,3,5,8]=>[1,2,4,6,3,7,5,8]
[1,8,7,5,2,4,6,3]=>[1,5,7,3,6,4,8,2]
[1,7,5,2,4,6,3,8]=>[1,5,7,3,6,4,2,8]
[1,7,4,2,5,3,6,8]=>[1,4,7,5,3,2,6,8]
[1,8,4,7,5,2,6,3]=>[1,5,7,6,8,3,2,4]
[1,7,5,2,3,6,4,8]=>[1,5,2,7,6,4,3,8]
[1,7,5,2,6,3,4,8]=>[1,5,7,2,6,3,4,8]
[1,6,3,7,4,2,5,8]=>[1,4,7,6,3,2,5,8]
[1,6,3,2,7,5,4,8]=>[1,3,6,5,7,2,4,8]
[1,4,7,5,2,6,3,8]=>[1,5,7,4,6,3,2,8]
[1,3,6,4,8,7,5,2]=>[1,5,3,7,6,2,8,4]
[1,3,7,6,4,2,5,8]=>[1,4,3,6,2,7,5,8]
[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,7,5,6]
[1,3,8,7,5,2,4,6]=>[1,5,3,2,7,4,8,6]
[1,4,6,3,2,7,5,8]=>[1,3,6,4,7,2,5,8]
[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5]
[1,5,7,6,4,2,3,8]=>[1,4,2,6,5,7,3,8]
[1,6,3,2,8,4,7,5]=>[1,3,6,8,7,2,4,5]
[1,6,3,5,2,7,4,8]=>[1,5,6,7,3,2,4,8]
[1,6,3,5,2,8,7,4]=>[1,5,6,7,3,2,8,4]
[1,8,3,7,5,2,4,6]=>[1,5,7,3,8,4,2,6]
[6,4,7,1,5,3,8,2]=>[7,8,5,6,1,4,3,2]
[5,3,8,2,6,4,7,1]=>[7,8,5,6,3,2,4,1]
[4,3,8,2,6,5,7,1]=>[7,8,4,3,6,2,5,1]
[2,6,1,8,3,4,7,5]=>[6,2,8,3,7,1,4,5]
[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]
[5,7,1,4,8,2,3,6]=>[7,8,2,1,5,3,4,6]
[6,5,7,1,4,3,8,2]=>[7,8,4,1,6,5,3,2]
[4,8,3,5,7,6,1,2]=>[6,1,7,4,2,8,5,3]
[5,7,6,1,2,4,8,3]=>[6,1,7,3,5,8,4,2]
[4,8,3,5,7,6,2,1]=>[2,6,7,4,1,8,5,3]
[1,3,4,2,8,5,7,6]=>[1,4,3,2,8,7,5,6]
[5,7,6,1,4,8,3,2]=>[6,3,7,2,5,8,4,1]
[5,7,6,2,4,8,3,1]=>[3,8,6,1,5,7,4,2]
[6,7,5,2,3,8,4,1]=>[4,8,1,5,7,6,3,2]
[6,7,5,3,8,4,2,1]=>[2,4,8,5,7,6,1,3]
[3,2,1,4,8,5,7,6]=>[2,3,1,4,8,7,5,6]
[7,3,1,4,2,6,5,8]=>[3,7,4,2,6,1,5,8]
[7,6,1,3,2,5,4,8]=>[6,3,1,5,2,7,4,8]
[7,6,1,4,2,5,3,8]=>[6,4,5,1,2,7,3,8]
[7,2,1,5,3,6,4,8]=>[2,7,5,6,1,3,4,8]
[7,4,1,6,2,5,3,8]=>[4,7,6,5,3,2,1,8]
[7,6,2,5,1,4,3,8]=>[5,6,4,1,2,7,3,8]
[5,7,2,6,1,4,3,8]=>[6,7,4,1,5,2,3,8]
[6,7,2,5,1,4,3,8]=>[5,7,4,1,2,6,3,8]
[6,3,1,7,2,5,4,8]=>[3,6,7,5,1,2,4,8]
[6,2,1,8,3,5,4,7]=>[2,6,8,5,3,1,4,7]
[6,3,1,8,2,5,4,7]=>[3,6,8,5,1,2,4,7]
[6,4,1,8,2,5,3,7]=>[4,6,8,5,3,2,1,7]
[5,7,1,4,3,8,2,6]=>[7,8,4,1,5,2,3,6]
[5,4,1,8,2,6,3,7]=>[4,5,8,6,2,3,1,7]
[5,3,1,8,2,6,4,7]=>[3,5,8,6,2,1,4,7]
[5,3,1,7,2,6,4,8]=>[3,5,7,6,2,1,4,8]
[4,7,1,5,2,6,3,8]=>[7,5,6,4,1,2,3,8]
[6,3,1,5,2,7,4,8]=>[3,6,5,7,2,1,4,8]
[6,5,1,4,2,7,3,8]=>[5,4,6,3,7,2,1,8]
[6,4,1,3,2,7,5,8]=>[4,3,1,6,7,2,5,8]
[6,2,1,4,3,7,5,8]=>[2,6,4,1,7,3,5,8]
[5,6,1,3,2,8,4,7]=>[6,3,1,8,5,2,4,7]
[5,6,1,4,2,8,3,7]=>[6,4,8,1,5,2,3,7]
[6,5,1,4,2,8,3,7]=>[5,4,6,3,8,2,1,7]
[4,6,1,5,2,8,3,7]=>[6,5,8,4,1,2,3,7]
[5,4,1,8,3,7,2,6]=>[4,5,7,8,2,3,1,6]
[5,2,1,8,4,7,3,6]=>[2,5,7,8,1,3,4,6]
[1,8,7,3,4,5,2,6]=>[1,5,7,3,4,2,8,6]
[1,8,7,4,5,2,3,6]=>[1,5,2,7,4,3,8,6]
[1,2,6,8,7,3,4,5]=>[1,2,7,3,4,6,8,5]
[1,3,7,8,4,5,6,2]=>[1,6,3,8,4,5,7,2]
[8,4,2,3,1,6,5,7]=>[3,4,2,8,6,1,5,7]
[8,4,2,3,6,5,1,7]=>[5,4,1,6,8,3,2,7]
[6,4,5,2,1,8,3,7]=>[2,5,8,6,4,1,3,7]
[6,4,5,2,8,1,7,3]=>[8,5,7,6,4,2,1,3]
[4,8,6,2,3,1,7,5]=>[3,6,2,4,8,7,5,1]
[4,6,2,3,1,8,7,5]=>[3,6,2,4,7,1,8,5]
[6,4,2,8,5,3,7,1]=>[7,4,6,5,8,3,2,1]
[6,4,2,1,8,5,3,7]=>[2,4,6,5,8,3,1,7]
[4,2,6,1,5,8,3,7]=>[6,4,8,2,1,5,3,7]
[6,4,5,2,8,7,1,3]=>[7,5,1,6,4,2,8,3]
[4,2,3,6,5,8,1,7]=>[8,4,2,3,6,5,1,7]
[6,4,2,3,5,8,7,1]=>[7,4,2,6,3,5,8,1]
[6,4,2,3,5,8,1,7]=>[8,4,2,6,3,5,1,7]
[6,4,2,3,1,8,5,7]=>[3,4,2,6,8,1,5,7]
[6,4,2,3,1,5,8,7]=>[3,4,2,6,1,5,8,7]
[8,6,2,1,4,3,7,5]=>[2,6,4,1,8,7,5,3]
[2,8,6,4,5,1,7,3]=>[5,2,7,6,4,8,1,3]
[8,6,2,1,4,7,3,5]=>[2,6,8,3,1,7,4,5]
[6,4,2,1,8,3,7,5]=>[2,4,6,8,7,3,1,5]
[6,4,8,2,5,7,3,1]=>[3,7,8,6,1,4,5,2]
[8,2,4,6,7,1,5,3]=>[7,8,5,2,1,4,6,3]
[8,6,7,2,1,4,5,3]=>[2,7,5,1,4,8,6,3]
[2,8,6,1,4,3,7,5]=>[6,2,4,1,8,7,5,3]
[2,8,6,4,3,7,5,1]=>[5,2,4,7,6,8,1,3]
[2,6,3,1,7,4,8,5]=>[3,2,6,7,8,1,4,5]
[4,3,2,6,1,8,7,5]=>[6,3,4,2,7,1,8,5]
[6,5,1,8,3,2,7,4]=>[5,3,6,8,7,2,4,1]
[1,3,7,4,5,2,8,6]=>[1,5,3,7,4,8,2,6]
[3,6,1,2,5,8,7,4]=>[6,1,3,7,2,5,8,4]
[8,1,7,5,4,6,3,2]=>[8,3,6,5,7,4,1,2]
[4,1,7,3,8,6,5,2]=>[4,5,6,1,8,7,3,2]
[1,4,3,7,2,8,6,5]=>[1,7,4,3,6,8,2,5]
[1,8,7,4,5,3,2,6]=>[1,3,5,7,4,2,8,6]
[2,8,3,1,4,5,7,6]=>[3,2,8,1,4,7,5,6]
[6,1,7,2,8,4,5,3]=>[6,7,5,8,4,1,2,3]
[6,5,1,3,8,7,2,4]=>[5,6,2,1,7,3,8,4]
[8,3,2,1,5,6,7,4]=>[2,3,8,7,1,5,6,4]
[3,2,6,7,8,4,5,1]=>[5,3,2,8,4,6,7,1]
[1,7,4,6,3,8,2,5]=>[1,8,6,7,2,4,3,5]
[5,6,4,1,3,8,2,7]=>[4,6,2,8,5,3,1,7]
[7,2,6,3,5,8,1,4]=>[8,7,6,1,3,2,5,4]
[4,5,3,1,8,7,6,2]=>[3,5,6,4,2,7,8,1]
[6,3,4,2,7,8,5,1]=>[5,4,8,1,6,2,7,3]
[1,4,3,8,5,2,7,6]=>[1,5,4,3,8,7,2,6]
[8,7,4,5,1,6,3,2]=>[5,3,6,7,4,1,8,2]
[6,2,7,8,1,3,5,4]=>[8,6,1,5,3,2,7,4]
[4,3,2,8,6,1,7,5]=>[6,3,4,2,8,7,5,1]
[5,1,8,4,3,7,2,6]=>[5,7,4,8,1,2,3,6]
[7,2,8,1,3,4,6,5]=>[8,7,1,3,6,4,2,5]
[1,4,8,3,5,6,7,2]=>[1,7,8,4,3,5,6,2]
[7,2,8,1,4,5,6,3]=>[8,7,6,1,4,5,2,3]
[2,1,8,3,4,5,7,6]=>[2,1,8,3,4,7,5,6]
[5,8,2,3,1,7,4,6]=>[3,8,2,7,5,4,1,6]
[1,4,8,2,5,6,7,3]=>[1,8,7,4,2,5,6,3]
[8,1,6,7,2,5,4,3]=>[8,7,4,5,2,1,6,3]
[7,5,2,3,6,8,4,1]=>[4,8,1,5,7,3,6,2]
[2,5,8,3,6,1,4,7]=>[6,2,8,1,5,3,4,7]
[8,1,4,6,5,3,2,7]=>[8,3,5,1,6,4,2,7]
[8,1,5,2,3,4,7,6]=>[8,5,2,3,1,7,4,6]
[8,1,4,7,6,5,2,3]=>[8,5,2,1,6,7,4,3]
[8,1,3,2,6,4,5,7]=>[8,3,1,6,4,2,5,7]
[8,1,3,7,5,2,4,6]=>[8,5,1,2,7,4,3,6]
[8,1,3,6,7,5,2,4]=>[8,5,1,2,7,3,6,4]
[8,1,2,7,6,5,4,3]=>[8,1,4,5,6,7,2,3]
[7,2,3,6,8,5,1,4]=>[5,8,1,2,7,3,6,4]
[7,5,3,2,6,4,1,8]=>[4,3,6,5,7,1,2,8]
[4,5,8,1,6,7,2,3]=>[8,7,2,4,5,1,6,3]
[3,5,8,2,6,4,7,1]=>[7,8,3,6,5,2,4,1]
[3,2,8,6,1,5,7,4]=>[6,3,2,8,4,7,5,1]
[3,4,7,2,1,5,6,8]=>[2,7,3,4,1,5,6,8]
[3,7,2,5,8,4,6,1]=>[6,7,3,8,2,4,5,1]
[6,7,8,4,1,5,2,3]=>[4,8,1,5,2,6,7,3]
[6,2,8,3,5,1,4,7]=>[5,6,8,1,3,2,4,7]
[6,2,7,4,5,3,1,8]=>[3,5,6,7,4,1,2,8]
[6,8,2,5,3,4,1,7]=>[4,8,5,3,2,6,1,7]
[6,8,7,5,4,1,2,3]=>[4,1,2,5,7,6,8,3]
[7,4,5,6,1,8,2,3]=>[6,8,2,7,4,5,1,3]
[7,3,4,6,5,1,2,8]=>[5,1,6,2,7,4,3,8]
[7,2,4,5,6,1,8,3]=>[6,7,8,2,4,5,1,3]
[6,3,5,2,8,1,7,4]=>[8,5,6,7,3,2,1,4]
[2,7,3,5,8,1,4,6]=>[8,2,7,1,3,4,5,6]
[7,8,6,1,2,5,4,3]=>[6,1,4,5,2,8,7,3]
[6,1,8,7,4,5,2,3]=>[6,5,2,7,4,1,8,3]
[6,1,8,7,3,4,2,5]=>[6,4,7,3,2,1,8,5]
[4,5,3,7,8,2,1,6]=>[2,8,5,4,3,1,7,6]
[4,1,7,6,3,5,2,8]=>[4,5,6,1,3,7,2,8]
[4,1,6,7,2,5,8,3]=>[4,7,8,1,2,6,5,3]
[4,7,8,1,6,2,5,3]=>[8,6,5,4,2,1,7,3]
[4,8,7,1,6,3,2,5]=>[7,3,6,4,2,1,8,5]
[4,8,2,7,5,3,6,1]=>[6,8,5,4,7,3,2,1]
[3,2,8,7,6,4,5,1]=>[5,3,2,6,4,7,8,1]
[3,1,2,7,5,6,4,8]=>[3,1,2,6,7,5,4,8]
[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]
[1,3,8,2,5,4,6,7]=>[1,8,3,5,2,4,6,7]
[1,6,2,5,8,7,3,4]=>[1,6,7,3,2,5,8,4]
[1,6,8,7,2,3,5,4]=>[1,7,2,5,3,6,8,4]
[1,6,8,7,2,5,3,4]=>[1,7,5,3,2,6,8,4]
[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]
[1,2,4,5,8,6,3,7]=>[1,2,6,4,5,8,3,7]
[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]
[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]
[1,6,7,5,2,4,8,3]=>[1,5,7,3,8,6,4,2]
[1,5,6,4,7,2,3,8]=>[1,7,2,6,5,4,3,8]
[1,7,4,2,5,8,3,6]=>[1,4,7,8,3,2,5,6]
[1,6,4,3,7,5,2,8]=>[1,5,4,7,6,2,3,8]
[1,6,5,4,7,2,3,8]=>[1,7,2,5,6,4,3,8]
[1,7,3,2,6,4,8,5]=>[1,3,7,6,8,2,4,5]
[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]
[1,3,2,6,8,5,4,7]=>[1,3,2,5,8,6,4,7]
[1,6,3,2,7,4,5,8]=>[1,3,6,7,4,2,5,8]
[1,7,8,5,4,2,3,6]=>[1,4,2,5,8,3,7,6]
[1,8,4,2,3,6,5,7]=>[1,4,2,8,6,3,5,7]
[1,4,2,7,5,3,8,6]=>[1,4,5,2,7,8,3,6]
[1,5,7,6,2,4,3,8]=>[1,6,4,2,5,7,3,8]
[1,8,4,7,3,2,6,5]=>[1,3,7,8,6,2,4,5]
[1,3,8,4,2,6,5,7]=>[1,4,3,8,6,2,5,7]
[1,7,4,2,6,5,8,3]=>[1,4,7,8,6,3,5,2]
[1,6,5,8,3,7,4,2]=>[1,4,7,8,6,5,2,3]
[1,7,4,8,3,2,5,6]=>[1,3,8,7,2,5,4,6]
[1,4,8,3,2,7,5,6]=>[1,3,8,4,7,5,2,6]
[1,8,3,6,4,5,2,7]=>[1,5,8,6,4,3,2,7]
[1,6,4,7,3,2,8,5]=>[1,3,7,6,8,4,2,5]
[8,2,3,7,4,5,6,1]=>[6,8,2,7,4,5,3,1]
[8,5,7,2,3,6,4,1]=>[4,6,1,7,8,3,5,2]
[3,1,5,6,8,4,2,7]=>[3,4,1,8,5,6,2,7]
[7,5,2,1,6,8,3,4]=>[2,5,7,1,8,3,6,4]
[1,3,6,8,4,2,5,7]=>[1,4,3,8,2,6,5,7]
[7,6,1,5,4,8,2,3]=>[6,7,1,5,2,8,4,3]
[7,6,3,2,1,8,4,5]=>[2,3,6,7,1,8,4,5]
[2,8,7,3,4,6,1,5]=>[6,2,7,3,1,4,8,5]
[6,5,1,3,7,2,8,4]=>[5,6,2,7,8,3,4,1]
[8,1,7,3,4,5,2,6]=>[8,5,7,3,4,2,1,6]
[7,1,8,3,4,5,2,6]=>[7,5,8,3,4,2,1,6]
[7,4,8,2,5,3,1,6]=>[3,5,8,7,1,2,4,6]
[7,2,1,4,8,5,3,6]=>[2,7,5,1,8,3,4,6]
[6,8,7,3,4,2,1,5]=>[2,4,7,3,1,6,8,5]
[3,8,7,1,2,4,5,6]=>[7,1,3,2,4,5,8,6]
[1,8,5,3,4,6,2,7]=>[1,6,5,3,8,4,2,7]
[5,8,4,3,1,6,2,7]=>[3,4,8,6,5,1,2,7]
[7,1,6,5,4,3,8,2]=>[7,8,4,5,6,1,3,2]
[7,1,3,6,4,5,8,2]=>[7,8,1,6,4,3,5,2]
[7,1,5,3,6,4,8,2]=>[7,8,5,6,1,3,4,2]
[6,1,5,3,7,8,2,4]=>[6,8,5,2,1,3,7,4]
[5,8,7,1,2,6,3,4]=>[7,1,6,3,5,2,8,4]
[6,8,2,3,4,7,1,5]=>[7,8,2,3,1,6,4,5]
[5,1,7,3,8,6,2,4]=>[5,6,8,3,1,7,2,4]
[6,1,3,2,4,7,8,5]=>[6,3,1,2,8,4,7,5]
[6,2,1,3,4,7,8,5]=>[2,6,1,3,8,4,7,5]
[3,2,5,8,7,4,1,6]=>[4,3,2,7,5,1,8,6]
[4,2,5,8,7,3,1,6]=>[3,7,4,1,5,2,8,6]
[8,3,4,1,6,5,2,7]=>[4,5,6,2,8,1,3,7]
[3,4,8,5,7,2,1,6]=>[2,7,3,4,8,1,5,6]
[3,6,4,8,5,7,2,1]=>[2,7,3,6,8,4,5,1]
[5,8,4,7,3,6,2,1]=>[2,6,7,8,5,3,4,1]
[4,2,8,7,3,1,6,5]=>[3,7,4,1,6,2,8,5]
[6,5,8,2,1,7,4,3]=>[2,8,4,7,6,5,1,3]
[6,1,4,3,8,7,2,5]=>[6,7,4,1,2,3,8,5]
[5,1,3,2,6,8,7,4]=>[5,3,1,7,2,6,8,4]
[6,1,3,8,7,2,4,5]=>[6,7,1,2,4,3,8,5]
[1,2,8,4,5,7,3,6]=>[1,2,7,8,4,3,5,6]
[4,2,1,8,7,6,3,5]=>[2,4,6,1,3,7,8,5]
[3,2,5,8,7,1,4,6]=>[7,3,2,1,5,4,8,6]
[5,6,3,8,7,2,1,4]=>[2,7,6,1,5,3,8,4]
[2,5,8,4,7,1,6,3]=>[7,2,6,8,5,1,4,3]
[1,6,2,4,8,5,7,3]=>[1,6,7,2,8,4,5,3]
[3,1,6,5,8,7,2,4]=>[3,7,1,2,6,5,8,4]
[4,8,5,3,6,7,1,2]=>[7,1,5,4,8,3,6,2]
[1,8,5,3,4,7,6,2]=>[1,6,5,2,7,8,4,3]
[7,5,2,1,4,3,6,8]=>[2,5,4,1,7,3,6,8]
[3,1,7,6,4,2,5,8]=>[3,4,1,6,2,7,5,8]
[2,3,7,5,6,1,4,8]=>[6,2,3,1,7,5,4,8]
[5,1,4,7,6,3,2,8]=>[5,3,6,1,4,7,2,8]
[6,1,7,3,4,5,2,8]=>[6,5,7,3,4,1,2,8]
[5,7,6,2,4,1,3,8]=>[4,6,1,2,5,7,3,8]
[2,7,1,3,6,4,5,8]=>[7,2,1,6,4,3,5,8]
[8,1,7,3,5,4,6,2]=>[8,6,7,5,3,4,1,2]
[2,8,7,3,5,6,4,1]=>[4,2,6,7,1,5,8,3]
[3,2,7,4,1,8,6,5]=>[4,3,2,7,6,8,1,5]
[1,8,6,3,2,5,4,7]=>[1,3,6,5,2,8,4,7]
[3,2,4,8,5,7,1,6]=>[7,3,2,4,8,1,5,6]
[7,2,5,4,8,1,3,6]=>[8,7,1,5,2,3,4,6]
[5,1,8,3,2,7,6,4]=>[5,3,8,6,1,7,2,4]
[6,8,5,2,3,7,1,4]=>[7,5,2,1,8,6,3,4]
[8,1,2,4,7,5,6,3]=>[8,1,6,2,7,5,4,3]
[1,3,4,8,6,7,2,5]=>[1,7,3,4,2,8,6,5]
[8,3,1,4,6,7,5,2]=>[3,8,5,2,7,4,6,1]
[6,4,5,8,3,1,7,2]=>[3,8,7,6,4,5,2,1]
[2,7,8,5,6,4,1,3]=>[4,2,1,6,8,5,7,3]
[8,6,2,1,5,7,3,4]=>[2,6,8,1,3,7,5,4]
[4,6,2,8,5,3,7,1]=>[7,6,5,4,8,2,3,1]
[5,6,2,4,8,3,1,7]=>[3,8,6,1,5,4,2,7]
[8,7,2,4,1,5,3,6]=>[4,7,5,2,1,3,8,6]
[1,6,8,7,3,5,2,4]=>[1,5,7,2,3,6,8,4]
[7,1,3,5,4,8,6,2]=>[7,6,1,5,3,8,4,2]
[2,7,3,4,5,8,6,1]=>[6,2,8,1,4,7,5,3]
[4,1,5,2,8,6,3,7]=>[4,5,6,1,2,8,3,7]
[7,5,3,4,8,6,2,1]=>[2,6,5,1,8,7,4,3]
[8,4,3,1,7,2,5,6]=>[3,4,8,7,2,5,1,6]
[2,8,3,1,4,6,7,5]=>[3,2,8,1,7,4,6,5]
[6,8,3,4,2,5,7,1]=>[7,4,8,3,2,6,5,1]
[4,2,8,3,5,1,6,7]=>[5,4,8,2,3,1,6,7]
[5,6,1,2,4,3,7,8]=>[6,1,4,2,5,3,7,8]
[8,3,2,7,5,4,1,6]=>[4,3,5,7,8,1,2,6]
[3,1,2,6,5,4,7,8]=>[3,1,2,5,6,4,7,8]
[4,3,6,5,1,2,7,8]=>[5,1,4,3,6,2,7,8]
[8,2,3,7,5,4,6,1]=>[6,8,2,5,7,4,3,1]
[2,8,3,7,6,4,1,5]=>[4,2,6,7,1,8,3,5]
[2,8,3,7,6,4,5,1]=>[5,2,8,6,4,7,3,1]
[8,1,3,7,5,4,6,2]=>[8,6,1,5,7,4,3,2]
[8,1,3,7,5,4,2,6]=>[8,4,1,5,7,2,3,6]
[1,8,3,7,6,4,2,5]=>[1,4,6,7,2,8,3,5]
[5,8,3,7,6,4,2,1]=>[2,4,6,7,5,8,3,1]
[1,3,8,7,6,5,2,4]=>[1,5,3,2,6,7,8,4]
[2,8,1,7,6,4,5,3]=>[8,2,5,6,4,7,1,3]
[8,2,1,7,5,4,6,3]=>[2,8,6,5,7,4,1,3]
[8,1,2,7,5,4,6,3]=>[8,1,6,5,7,4,2,3]
[3,8,2,7,6,4,5,1]=>[5,8,3,6,4,7,2,1]
[4,8,7,2,6,3,1,5]=>[3,6,7,4,2,1,8,5]
[1,8,7,2,6,3,5,4]=>[1,7,6,5,3,2,8,4]
[8,7,2,1,4,3,5,6]=>[2,7,4,1,3,5,8,6]
[5,8,7,2,6,3,1,4]=>[3,6,7,2,5,1,8,4]
[2,8,7,1,6,3,4,5]=>[7,2,6,3,4,1,8,5]
[4,2,8,7,6,5,1,3]=>[5,4,1,2,6,7,8,3]
[5,8,7,1,6,3,4,2]=>[7,4,6,3,5,1,8,2]
[5,8,7,1,6,3,2,4]=>[7,3,6,2,5,1,8,4]
[1,4,8,7,6,5,2,3]=>[1,5,2,4,6,7,8,3]
[8,4,2,7,6,5,3,1]=>[3,5,4,6,7,8,1,2]
[6,8,7,5,2,4,3,1]=>[3,4,5,1,7,6,8,2]
[7,6,3,1,4,5,2,8]=>[3,6,5,2,4,7,1,8]
[7,2,3,6,4,5,1,8]=>[5,7,2,6,4,3,1,8]
[7,2,1,4,6,5,3,8]=>[2,7,5,1,6,4,3,8]
[7,3,6,2,4,5,1,8]=>[5,6,7,2,4,3,1,8]
[7,2,6,1,4,5,3,8]=>[6,7,5,1,4,2,3,8]
[6,8,7,2,4,5,1,3]=>[5,7,1,2,4,6,8,3]
[1,2,5,7,4,8,6,3]=>[1,2,6,8,5,7,3,4]
[6,2,1,8,7,5,3,4]=>[2,6,5,3,7,1,8,4]
[6,3,8,7,4,5,2,1]=>[2,5,6,7,4,3,8,1]
[4,2,1,5,3,8,6,7]=>[2,4,5,1,3,8,6,7]
[4,6,5,3,2,8,1,7]=>[8,3,5,4,6,2,1,7]
[2,8,3,4,1,5,6,7]=>[4,2,8,3,1,5,6,7]
[2,7,3,5,4,8,6,1]=>[6,2,8,5,1,7,4,3]
[2,6,4,3,5,8,1,7]=>[8,2,4,6,3,5,1,7]
[4,2,1,7,6,5,8,3]=>[2,4,8,1,6,7,5,3]
[4,5,7,3,6,1,8,2]=>[6,8,7,4,5,3,1,2]
[1,3,7,5,4,8,6,2]=>[1,6,3,5,8,7,2,4]
[3,8,7,5,4,1,6,2]=>[4,5,3,7,6,1,8,2]
[4,5,6,3,1,8,2,7]=>[3,6,8,4,5,2,1,7]
[1,4,6,3,5,8,2,7]=>[1,8,6,4,3,5,2,7]
[4,7,5,3,6,2,8,1]=>[8,6,5,4,7,3,2,1]
[5,4,1,3,2,6,8,7]=>[4,3,1,5,2,6,8,7]
[5,2,1,4,3,6,8,7]=>[2,5,4,1,3,6,8,7]
[6,2,4,3,1,8,5,7]=>[3,4,6,1,8,2,5,7]
[1,5,6,3,8,4,2,7]=>[1,4,8,6,5,2,3,7]
[5,4,6,3,8,1,2,7]=>[8,1,6,5,4,3,2,7]
[5,8,6,3,1,4,2,7]=>[3,6,4,2,5,8,1,7]
[5,8,7,1,4,3,6,2]=>[7,6,4,1,5,3,8,2]
[2,6,5,3,8,4,1,7]=>[4,2,8,5,6,1,3,7]
[5,7,3,8,4,2,6,1]=>[6,4,8,7,5,3,2,1]
[5,6,8,3,2,4,1,7]=>[4,3,8,2,5,6,1,7]
[5,3,6,2,8,4,1,7]=>[4,8,6,5,1,3,2,7]
[3,2,6,5,4,8,1,7]=>[8,3,2,5,6,4,1,7]
[2,6,5,4,8,3,1,7]=>[3,2,8,5,6,4,1,7]
[2,3,6,5,4,8,1,7]=>[8,2,3,5,6,4,1,7]
[3,7,5,4,8,2,6,1]=>[6,8,3,5,7,2,4,1]
[5,3,7,1,2,8,4,6]=>[7,1,5,8,3,4,2,6]
[1,2,7,6,4,8,3,5]=>[1,2,8,6,3,7,4,5]
[6,3,8,7,1,2,5,4]=>[7,1,6,5,2,3,8,4]
[2,8,7,6,1,3,5,4]=>[6,2,1,5,3,7,8,4]
[6,3,8,7,1,4,5,2]=>[7,5,6,1,4,3,8,2]
[2,7,5,4,8,1,6,3]=>[8,2,6,5,7,1,4,3]
[7,6,4,8,2,5,3,1]=>[3,5,8,6,1,7,4,2]
[6,3,8,7,2,5,4,1]=>[4,5,7,6,3,1,8,2]
[2,8,7,6,1,5,3,4]=>[6,2,5,3,1,7,8,4]
[7,6,4,8,1,3,2,5]=>[8,3,1,6,2,7,4,5]
[6,3,8,7,1,4,2,5]=>[7,4,6,1,2,3,8,5]
[6,3,8,7,1,2,4,5]=>[7,1,6,2,4,3,8,5]
[4,8,1,6,7,5,2,3]=>[8,5,2,4,7,1,6,3]
[6,8,4,1,7,5,2,3]=>[4,8,1,5,7,6,2,3]
[8,1,4,6,7,5,2,3]=>[8,5,2,1,7,4,6,3]
[2,6,8,1,7,4,5,3]=>[8,2,5,7,4,6,1,3]
[2,6,8,1,4,7,5,3]=>[8,2,5,1,7,6,4,3]
[6,4,8,1,2,7,5,3]=>[8,1,5,7,6,3,2,4]
[8,4,1,6,7,2,5,3]=>[4,8,7,5,3,2,6,1]
[8,1,4,6,7,2,5,3]=>[8,7,5,1,2,4,6,3]
[8,2,1,6,7,4,5,3]=>[2,8,5,7,4,1,6,3]
[8,2,6,1,7,4,5,3]=>[6,8,5,7,4,2,1,3]
[6,2,8,1,4,7,5,3]=>[8,6,5,1,7,2,4,3]
[4,2,8,1,6,7,5,3]=>[8,4,5,2,7,1,6,3]
[2,4,8,1,6,7,5,3]=>[8,2,5,4,7,1,6,3]
[4,2,8,6,1,7,5,3]=>[6,4,5,2,8,7,3,1]
[8,2,6,4,1,7,5,3]=>[4,6,8,5,7,3,2,1]
[8,1,2,6,4,7,5,3]=>[8,1,5,7,6,2,3,4]
[8,4,1,6,2,7,5,3]=>[4,8,6,5,7,2,3,1]
[4,8,6,1,2,7,5,3]=>[6,1,5,4,8,7,3,2]
[4,8,1,2,6,7,5,3]=>[8,1,5,4,7,2,6,3]
[4,8,2,1,6,7,5,3]=>[2,8,5,4,7,1,6,3]
[6,8,2,1,4,7,5,3]=>[2,8,5,1,7,6,4,3]
[8,6,2,1,7,4,5,3]=>[2,6,5,8,1,7,4,3]
[8,1,6,2,4,7,5,3]=>[8,6,5,2,7,1,4,3]
[8,6,1,2,4,7,5,3]=>[6,1,5,3,8,7,4,2]
[6,8,2,4,1,7,5,3]=>[4,8,5,2,7,6,1,3]
[4,8,2,6,1,7,5,3]=>[6,8,5,4,7,2,1,3]
[6,4,2,8,1,7,5,3]=>[8,4,6,5,7,3,1,2]
[8,4,2,6,1,7,5,3]=>[6,4,8,5,7,3,1,2]
[8,2,1,4,6,7,5,3]=>[2,8,5,1,7,4,6,3]
[8,2,4,6,1,7,5,3]=>[6,8,5,2,7,4,1,3]
[5,4,7,6,3,1,2,8]=>[3,1,6,5,4,7,2,8]
[3,6,4,8,1,5,2,7]=>[8,5,3,6,1,4,2,7]
[3,6,8,4,1,5,2,7]=>[4,8,3,5,2,6,1,7]
[8,7,1,4,2,3,5,6]=>[7,4,2,1,3,5,8,6]
[3,8,6,4,1,5,2,7]=>[4,6,3,5,2,8,1,7]
[8,2,6,5,7,1,3,4]=>[7,8,1,3,6,2,5,4]
[4,6,1,3,2,8,7,5]=>[6,3,1,4,7,2,8,5]
[5,4,6,7,1,3,8,2]=>[7,8,1,5,4,6,3,2]
[7,1,4,8,2,3,6,5]=>[7,8,2,1,6,3,4,5]
[3,6,5,4,7,1,8,2]=>[7,8,3,5,6,4,1,2]
[4,5,3,6,7,1,8,2]=>[7,8,5,4,3,6,1,2]
[1,4,7,8,3,5,2,6]=>[1,5,8,4,3,2,7,6]
[4,6,1,3,5,2,8,7]=>[6,5,1,4,3,2,8,7]
[1,7,6,3,5,8,4,2]=>[1,4,8,6,2,7,5,3]
[2,5,1,4,8,3,7,6]=>[5,2,8,1,4,7,3,6]
[7,6,2,1,4,5,3,8]=>[2,6,5,1,4,7,3,8]
[4,1,2,8,7,6,3,5]=>[4,1,6,2,3,7,8,5]
[5,1,4,3,8,6,7,2]=>[5,7,4,1,3,8,6,2]
[3,5,1,6,4,8,7,2]=>[5,7,3,6,1,4,8,2]
[2,6,3,5,1,7,4,8]=>[5,2,6,7,3,1,4,8]
[6,1,2,5,4,8,7,3]=>[6,1,7,5,2,4,8,3]
[8,4,1,7,3,5,6,2]=>[4,8,6,7,1,5,2,3]
[8,4,1,2,5,7,3,6]=>[4,1,8,7,3,2,5,6]
[1,6,2,8,5,4,7,3]=>[1,6,7,5,8,2,4,3]
[6,1,5,3,2,7,4,8]=>[6,3,5,7,1,2,4,8]
[6,4,7,2,1,8,5,3]=>[2,7,5,8,6,3,1,4]
[5,8,4,6,3,1,7,2]=>[3,6,7,8,5,4,2,1]
[2,4,5,6,8,3,1,7]=>[3,2,8,4,5,6,1,7]
[3,8,4,2,1,6,5,7]=>[2,4,3,8,6,1,5,7]
[3,4,7,1,2,6,8,5]=>[7,1,3,4,8,2,6,5]
[4,1,8,6,5,2,3,7]=>[4,5,2,1,6,8,3,7]
[3,4,5,8,6,2,1,7]=>[2,6,3,4,5,8,1,7]
[8,6,3,5,4,7,1,2]=>[7,1,6,5,3,8,4,2]
[2,5,3,7,1,8,6,4]=>[7,2,5,6,3,8,1,4]
[4,8,6,2,5,1,7,3]=>[5,6,8,4,3,7,1,2]
[4,5,1,8,6,3,7,2]=>[5,7,6,4,1,8,3,2]
[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]
[8,5,3,4,6,1,7,2]=>[6,7,5,3,8,4,1,2]
[4,5,3,7,1,8,6,2]=>[7,6,5,4,3,8,1,2]
[1,4,6,2,5,3,8,7]=>[1,6,5,4,2,3,8,7]
[6,2,8,7,1,3,5,4]=>[7,6,1,5,3,2,8,4]
[4,5,3,6,1,8,7,2]=>[6,7,5,4,3,1,8,2]
[8,3,7,2,1,6,5,4]=>[2,7,8,5,6,1,3,4]
[8,4,7,6,2,5,1,3]=>[5,6,1,7,4,8,2,3]
[8,4,7,3,6,2,1,5]=>[2,6,7,8,1,3,4,5]
[3,8,7,5,6,4,1,2]=>[4,1,3,6,7,5,8,2]
[3,8,7,5,6,2,1,4]=>[2,6,3,1,7,5,8,4]
[3,8,7,5,6,2,4,1]=>[4,6,3,2,7,5,8,1]
[2,8,7,5,6,4,1,3]=>[4,2,1,6,7,5,8,3]
[1,5,6,3,8,2,7,4]=>[1,8,6,7,5,3,2,4]
[2,6,3,8,4,7,1,5]=>[7,2,6,8,1,3,4,5]
[2,6,3,5,7,8,1,4]=>[8,2,6,1,3,5,7,4]
[1,5,6,3,7,2,8,4]=>[1,7,6,8,5,3,2,4]
[1,7,5,3,6,2,8,4]=>[1,6,5,7,8,4,2,3]
[1,5,7,3,4,2,8,6]=>[1,4,7,3,5,8,2,6]
[1,5,8,3,4,2,7,6]=>[1,4,8,3,5,7,2,6]
[1,4,5,3,7,2,8,6]=>[1,7,5,4,3,8,2,6]
[1,4,5,3,8,2,7,6]=>[1,8,5,4,3,7,2,6]
[6,5,1,4,2,7,8,3]=>[5,4,6,3,8,2,7,1]
[6,5,1,4,2,8,7,3]=>[5,4,6,3,7,2,8,1]
[1,7,5,4,2,8,6,3]=>[1,4,5,7,6,8,2,3]
[4,1,2,7,5,3,6,8]=>[4,1,5,2,7,3,6,8]
[5,1,6,8,3,7,2,4]=>[5,7,8,2,1,6,3,4]
[6,1,3,7,2,4,5,8]=>[6,7,1,2,4,3,5,8]
[4,1,5,6,8,3,2,7]=>[4,3,8,1,5,6,2,7]
[3,8,5,2,1,4,7,6]=>[2,5,3,1,8,7,4,6]
[3,4,8,2,1,6,7,5]=>[2,8,3,4,7,1,6,5]
[3,5,4,8,2,6,7,1]=>[7,8,3,5,4,2,6,1]
[5,4,7,1,8,6,3,2]=>[7,3,6,5,4,8,1,2]
[3,1,5,6,8,4,7,2]=>[3,7,1,8,5,6,4,2]
[3,6,1,8,2,5,4,7]=>[6,8,3,5,2,1,4,7]
[5,8,3,2,1,7,4,6]=>[2,3,8,7,5,4,1,6]
[1,4,8,2,6,5,3,7]=>[1,8,5,4,6,2,3,7]
[8,5,1,3,6,2,4,7]=>[5,8,2,1,6,3,4,7]
[3,8,1,2,6,5,4,7]=>[8,1,3,5,6,2,4,7]
[1,2,8,5,6,4,3,7]=>[1,2,4,6,8,5,3,7]
[7,5,1,8,3,4,2,6]=>[5,4,7,1,8,2,3,6]
[5,2,8,1,7,4,3,6]=>[8,5,4,7,2,3,1,6]
[5,4,7,1,2,3,8,6]=>[7,1,2,5,4,8,3,6]
[1,4,8,2,6,7,3,5]=>[1,8,7,4,3,2,6,5]
[1,2,5,6,8,7,3,4]=>[1,2,7,3,5,6,8,4]
[1,5,6,8,2,7,4,3]=>[1,8,4,7,5,6,2,3]
[3,6,1,8,2,7,4,5]=>[6,8,3,7,4,1,2,5]
[2,6,7,3,4,1,8,5]=>[4,2,7,3,8,6,1,5]
[1,6,5,7,8,2,4,3]=>[1,8,4,2,6,5,7,3]
[1,5,6,7,2,8,4,3]=>[1,7,4,8,5,6,2,3]
[3,6,1,2,8,7,5,4]=>[6,1,3,5,7,2,8,4]
[3,7,6,1,8,2,4,5]=>[6,7,3,1,4,8,2,5]
[1,3,7,2,6,4,8,5]=>[1,7,3,6,8,2,4,5]
[1,4,7,2,6,3,8,5]=>[1,7,6,4,8,2,3,5]
[2,6,8,1,4,7,3,5]=>[8,2,7,1,3,6,4,5]
[1,4,6,8,3,7,2,5]=>[1,7,8,4,2,6,3,5]
[1,5,8,6,7,3,4,2]=>[1,4,7,3,5,8,6,2]
[1,6,5,8,7,2,4,3]=>[1,7,4,2,6,5,8,3]
[1,5,7,6,2,8,3,4]=>[1,6,7,2,5,8,3,4]
[1,2,5,8,6,7,4,3]=>[1,2,4,7,5,8,6,3]
[1,2,6,5,7,3,8,4]=>[1,2,7,8,6,5,3,4]
[1,7,5,8,6,4,2,3]=>[1,4,2,6,8,7,3,5]
[7,3,8,6,4,2,1,5]=>[2,4,6,8,1,7,3,5]
[2,7,6,3,4,8,1,5]=>[8,2,6,3,1,7,4,5]
[3,6,5,8,1,2,7,4]=>[8,1,3,7,6,5,2,4]
[5,4,7,8,1,6,3,2]=>[8,3,6,5,4,1,7,2]
[2,5,6,8,1,3,7,4]=>[8,2,1,7,5,6,3,4]
[5,3,6,8,1,2,7,4]=>[8,1,5,7,3,6,2,4]
[4,6,5,8,3,2,7,1]=>[7,3,8,4,6,5,2,1]
[4,5,6,8,2,3,7,1]=>[7,8,2,4,5,6,3,1]
[2,5,8,7,1,6,4,3]=>[7,2,4,6,5,1,8,3]
[4,7,5,8,3,6,2,1]=>[2,6,8,4,7,3,5,1]
[7,3,6,8,5,2,1,4]=>[2,5,8,3,7,1,6,4]
[8,3,6,7,5,2,4,1]=>[4,5,7,3,8,2,6,1]
[8,4,5,7,3,6,2,1]=>[2,6,7,8,4,3,5,1]
[2,4,7,8,5,6,3,1]=>[3,2,6,4,8,5,7,1]
[3,6,8,7,5,2,4,1]=>[4,5,3,2,7,6,8,1]
[6,4,7,8,5,1,3,2]=>[5,3,1,8,6,2,7,4]
[7,8,4,6,5,3,1,2]=>[3,1,5,6,8,2,7,4]
[6,8,4,7,5,1,3,2]=>[5,3,1,7,8,6,2,4]
[2,7,5,4,3,1,6,8]=>[3,2,4,5,7,1,6,8]
[1,2,6,4,3,8,7,5]=>[1,2,4,6,7,3,8,5]
[6,5,8,3,1,4,2,7]=>[3,8,4,2,6,5,1,7]
[7,6,3,5,4,1,2,8]=>[4,1,5,6,2,7,3,8]
[2,7,4,6,1,5,3,8]=>[6,2,5,7,1,4,3,8]
[2,7,3,1,6,5,4,8]=>[3,2,7,5,6,1,4,8]
[7,6,1,2,3,5,4,8]=>[6,1,2,5,3,7,4,8]
[1,8,5,7,2,3,6,4]=>[1,7,2,6,8,3,5,4]
[2,3,6,8,1,7,5,4]=>[8,2,3,5,7,6,1,4]
[6,1,3,8,4,2,5,7]=>[6,4,1,8,2,3,5,7]
[2,8,7,5,1,6,3,4]=>[5,2,7,1,6,3,8,4]
[5,8,1,7,2,3,4,6]=>[8,7,2,3,5,4,1,6]
[8,7,6,4,2,1,5,3]=>[2,4,6,5,3,7,8,1]
[5,8,7,2,3,1,6,4]=>[3,7,2,6,5,1,8,4]
[3,5,8,1,4,7,2,6]=>[8,7,3,1,5,2,4,6]
[8,5,3,7,4,6,1,2]=>[6,1,5,8,7,3,4,2]
[3,8,7,5,2,6,4,1]=>[4,6,3,5,7,1,8,2]
[4,6,3,1,8,7,2,5]=>[3,6,7,4,1,2,8,5]
[8,3,6,7,1,5,2,4]=>[7,5,8,2,1,3,6,4]
[3,8,7,5,1,2,6,4]=>[5,1,3,7,6,4,8,2]
[8,1,3,5,6,2,4,7]=>[8,6,1,2,3,5,4,7]
[5,8,3,7,1,4,6,2]=>[7,6,8,1,5,4,3,2]
[3,8,7,4,2,6,5,1]=>[5,4,3,6,7,1,8,2]
[5,8,3,2,4,7,6,1]=>[6,3,7,1,5,8,4,2]
[8,4,5,3,7,6,1,2]=>[6,1,5,7,2,8,3,4]
[5,8,2,1,3,4,7,6]=>[2,8,1,3,5,7,4,6]
[1,3,4,7,2,6,5,8]=>[1,7,3,4,6,2,5,8]
[2,5,1,4,3,6,7,8]=>[5,2,4,1,3,6,7,8]
[5,3,8,2,4,6,1,7]=>[6,8,5,2,3,4,1,7]
[4,5,8,3,2,6,1,7]=>[6,3,8,4,5,2,1,7]
[1,5,3,7,2,8,6,4]=>[1,7,5,6,3,8,2,4]
[3,4,7,1,2,8,6,5]=>[7,1,3,4,6,8,2,5]
[5,8,2,1,4,6,3,7]=>[2,8,6,1,5,4,3,7]
[4,1,5,8,3,6,2,7]=>[4,6,8,1,5,3,2,7]
[4,5,8,3,6,1,2,7]=>[6,1,8,4,5,3,2,7]
[6,1,7,8,3,5,2,4]=>[6,5,8,2,3,1,7,4]
[5,2,7,8,1,3,6,4]=>[8,5,1,6,2,3,7,4]
[2,6,7,8,3,1,5,4]=>[3,2,8,5,1,6,7,4]
[3,2,7,1,8,5,4,6]=>[7,3,2,5,8,4,1,6]
[4,7,8,5,2,3,1,6]=>[3,5,2,4,8,1,7,6]
[6,2,7,8,1,5,3,4]=>[8,6,5,3,1,2,7,4]
[2,7,1,3,8,5,4,6]=>[7,2,1,5,8,4,3,6]
[2,6,7,8,4,1,3,5]=>[4,2,1,8,3,6,7,5]
[2,6,7,8,4,3,1,5]=>[3,2,4,8,1,6,7,5]
[7,1,2,6,3,8,4,5]=>[7,1,6,8,4,2,3,5]
[8,1,2,6,5,3,7,4]=>[8,1,5,6,7,2,4,3]
[8,1,4,6,7,2,3,5]=>[8,7,2,1,3,4,6,5]
[8,3,5,6,1,2,7,4]=>[6,1,8,7,3,5,2,4]
[8,5,1,7,2,6,3,4]=>[5,8,7,1,6,3,2,4]
[8,5,4,6,1,2,7,3]=>[6,1,7,5,8,4,2,3]
[7,3,8,1,2,5,4,6]=>[8,1,7,5,2,4,3,6]
[7,4,1,8,2,5,3,6]=>[4,7,8,5,3,1,2,6]
[6,4,1,7,2,8,3,5]=>[4,6,7,8,1,2,3,5]
[6,8,1,2,3,5,7,4]=>[8,1,2,7,3,6,5,4]
[7,3,4,1,2,8,6,5]=>[4,1,7,3,6,8,2,5]
[7,3,8,1,2,5,6,4]=>[8,1,7,6,2,5,3,4]
[7,2,1,8,3,6,4,5]=>[2,7,8,6,4,3,1,5]
[7,2,4,5,1,3,8,6]=>[5,7,1,2,4,8,3,6]
[7,1,8,3,2,4,5,6]=>[7,3,8,2,4,5,1,6]
[8,1,5,6,3,2,7,4]=>[8,3,6,7,1,5,2,4]
[8,1,2,5,7,6,3,4]=>[8,1,6,3,2,7,5,4]
[6,8,7,3,1,2,4,5]=>[3,1,7,2,4,6,8,5]
[7,4,8,3,1,2,6,5]=>[3,1,8,7,6,2,4,5]
[8,4,5,3,1,6,7,2]=>[3,5,7,8,4,2,6,1]
[8,2,3,1,6,7,4,5]=>[3,8,2,7,4,1,6,5]
[8,2,1,7,4,3,5,6]=>[2,8,4,7,3,5,1,6]
[7,2,6,8,4,1,3,5]=>[4,8,2,7,3,1,6,5]
[7,2,5,1,6,8,3,4]=>[5,7,8,3,2,1,6,4]
[8,1,7,3,4,2,5,6]=>[8,4,7,3,2,5,1,6]
[6,1,8,3,2,7,4,5]=>[6,3,8,7,4,1,2,5]
[7,5,1,6,4,8,2,3]=>[5,7,1,8,6,2,3,4]
[7,2,3,1,8,5,4,6]=>[3,7,2,5,8,4,1,6]
[6,2,1,7,4,8,3,5]=>[2,6,8,7,3,1,4,5]
[1,4,2,5,7,6,8,3]=>[1,4,8,2,5,7,6,3]
[1,3,4,6,8,5,2,7]=>[1,5,3,4,8,6,2,7]
[1,4,6,8,5,2,7,3]=>[1,5,8,4,7,6,3,2]
[1,3,4,6,8,5,7,2]=>[1,7,3,4,8,6,5,2]
[1,4,5,7,2,8,6,3]=>[1,7,6,4,5,8,2,3]
[1,7,4,3,2,5,6,8]=>[1,3,4,7,2,5,6,8]
[1,7,4,3,6,2,5,8]=>[1,6,4,7,2,3,5,8]
[3,7,5,8,2,4,6,1]=>[6,8,3,2,7,4,5,1]
[5,2,1,6,3,4,8,7]=>[2,5,6,3,1,4,8,7]
[5,1,3,4,6,2,8,7]=>[5,6,1,3,4,2,8,7]
[3,8,4,5,7,2,6,1]=>[6,7,3,8,4,2,5,1]
[3,8,4,7,5,6,2,1]=>[2,6,3,8,7,5,4,1]
[4,2,8,6,3,7,5,1]=>[5,4,7,2,6,8,1,3]
[4,1,7,6,3,8,5,2]=>[4,5,8,1,6,7,2,3]
[7,4,1,8,5,3,6,2]=>[4,7,6,5,8,1,2,3]
[3,5,6,8,4,7,1,2]=>[7,1,3,8,5,6,4,2]
[5,4,1,8,6,7,2,3]=>[4,5,1,7,2,8,6,3]
[6,2,8,4,5,3,7,1]=>[7,6,5,8,4,2,3,1]
[4,5,2,1,8,7,3,6]=>[2,5,7,4,1,3,8,6]
[4,7,3,8,2,6,5,1]=>[5,6,8,4,7,3,1,2]
[4,7,3,1,8,6,2,5]=>[3,7,6,4,1,8,2,5]
[6,2,1,3,7,4,8,5]=>[2,6,1,7,8,3,4,5]
[6,3,7,1,2,5,8,4]=>[7,1,6,8,2,3,5,4]
[5,1,4,7,8,2,6,3]=>[5,8,6,1,4,2,7,3]
[7,2,5,8,1,3,6,4]=>[8,7,1,6,2,3,5,4]
[8,3,6,7,2,4,5,1]=>[5,7,8,2,4,3,6,1]
[3,8,7,5,2,1,6,4]=>[2,5,3,7,6,4,8,1]
[3,8,5,6,2,7,4,1]=>[4,7,3,6,8,5,1,2]
[3,6,5,8,4,2,7,1]=>[7,4,3,8,6,5,2,1]
[6,8,3,2,5,7,4,1]=>[4,3,7,8,1,6,5,2]
[4,1,5,6,8,7,3,2]=>[4,3,7,1,5,6,8,2]
[8,4,2,3,6,7,5,1]=>[5,4,1,7,8,3,6,2]
[6,1,2,4,5,7,8,3]=>[6,1,8,2,4,5,7,3]
[4,5,1,3,7,6,8,2]=>[5,8,1,4,3,7,6,2]
[3,5,4,8,6,2,7,1]=>[7,6,3,5,4,8,2,1]
[3,6,2,4,5,8,7,1]=>[7,6,3,2,4,5,8,1]
[8,1,3,7,4,5,6,2]=>[8,6,1,7,4,5,3,2]
[5,1,2,8,7,4,6,3]=>[5,1,6,7,2,4,8,3]
[7,1,3,4,8,5,6,2]=>[7,6,1,3,8,5,4,2]
[4,1,7,5,3,8,6,2]=>[4,6,5,1,8,7,2,3]
[5,1,2,8,6,7,4,3]=>[5,1,4,7,2,8,6,3]
[3,8,7,4,2,5,6,1]=>[6,4,3,7,2,5,8,1]
[7,6,3,5,1,8,4,2]=>[5,4,8,6,2,7,1,3]
[8,1,5,3,4,6,7,2]=>[8,7,5,3,1,4,6,2]
[8,1,5,3,6,4,7,2]=>[8,7,5,6,1,3,4,2]
[4,5,1,3,7,8,6,2]=>[5,6,1,4,3,8,7,2]
[2,6,4,8,3,1,5,7]=>[3,2,8,6,1,4,5,7]
[7,2,3,8,1,4,5,6]=>[8,7,2,1,4,5,3,6]
[7,2,3,8,1,4,6,5]=>[8,7,2,1,6,4,3,5]
[7,6,5,2,3,8,4,1]=>[4,8,1,5,6,7,3,2]
[2,6,4,1,5,8,7,3]=>[4,2,6,7,3,5,8,1]
[3,5,1,4,6,2,7,8]=>[5,6,3,1,4,2,7,8]
[7,6,5,2,4,3,8,1]=>[8,5,4,2,6,7,3,1]
[7,6,5,2,4,3,1,8]=>[3,4,5,1,6,7,2,8]
[7,2,3,5,1,4,8,6]=>[5,7,2,1,3,8,4,6]
[3,6,4,5,2,8,1,7]=>[8,5,3,6,4,2,1,7]
[7,5,1,8,3,6,2,4]=>[5,7,6,3,8,1,2,4]
[8,1,5,6,3,7,2,4]=>[8,7,6,2,1,5,3,4]
[8,1,5,6,3,7,4,2]=>[8,4,7,6,1,5,2,3]
[3,6,4,5,2,7,8,1]=>[8,5,3,6,4,2,7,1]
[7,2,3,5,1,4,6,8]=>[5,7,2,1,3,4,6,8]
[8,1,5,4,7,3,6,2]=>[8,6,7,5,1,3,4,2]
[3,5,1,4,6,8,7,2]=>[5,7,3,1,4,6,8,2]
[7,6,5,4,1,3,8,2]=>[4,5,2,6,7,8,3,1]
[7,6,5,3,4,1,8,2]=>[4,8,5,3,6,7,1,2]
[7,6,5,2,8,3,1,4]=>[3,8,5,2,6,7,1,4]
[7,6,5,4,1,8,2,3]=>[4,5,1,6,7,8,2,3]
[3,6,4,1,5,7,2,8]=>[4,6,3,7,2,5,1,8]
[2,5,1,4,6,7,8,3]=>[5,2,8,1,4,6,7,3]
[8,1,5,4,7,6,3,2]=>[8,3,6,5,1,7,4,2]
[2,5,1,4,6,7,3,8]=>[5,2,7,1,4,6,3,8]
[3,6,4,1,5,7,8,2]=>[4,6,3,8,2,5,7,1]
[7,6,5,2,8,4,1,3]=>[4,8,2,5,6,7,1,3]
[1,4,3,7,5,2,8,6]=>[1,5,4,3,7,8,2,6]
[3,1,6,5,2,8,7,4]=>[3,5,1,6,7,4,8,2]
[6,2,7,4,3,1,8,5]=>[3,4,7,6,8,2,1,5]
[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]
[2,7,3,4,5,1,8,6]=>[5,2,7,3,4,8,1,6]
[5,2,7,4,8,3,6,1]=>[6,5,8,7,2,3,4,1]
[3,8,1,7,4,2,6,5]=>[8,4,3,7,6,2,1,5]
[8,1,7,4,3,5,6,2]=>[8,6,4,7,3,5,1,2]
[6,8,2,4,5,3,7,1]=>[7,8,5,2,4,6,3,1]
[5,6,8,2,1,3,7,4]=>[2,8,1,7,5,6,3,4]
[4,8,5,3,6,1,7,2]=>[6,7,5,4,8,3,1,2]
[2,8,3,1,4,7,5,6]=>[3,2,8,1,7,5,4,6]
[6,4,3,1,8,7,2,5]=>[3,4,6,7,2,1,8,5]
[5,7,3,8,6,4,2,1]=>[2,4,6,8,5,7,3,1]
[8,6,3,2,7,4,1,5]=>[4,3,7,6,2,8,1,5]
[7,3,6,5,4,8,1,2]=>[8,1,7,5,6,3,4,2]
[1,4,2,3,8,6,7,5]=>[1,4,2,3,7,8,6,5]
[6,4,3,5,1,8,2,7]=>[5,8,4,6,3,1,2,7]
[6,1,3,4,7,8,5,2]=>[6,5,1,3,8,4,7,2]
[2,7,3,1,8,4,5,6]=>[3,2,7,8,4,5,1,6]
[6,3,1,8,2,5,7,4]=>[3,6,8,7,1,2,5,4]
[3,6,1,8,4,5,7,2]=>[6,7,3,8,4,1,5,2]
[5,2,8,7,3,4,6,1]=>[6,5,7,3,2,4,8,1]
[2,4,8,7,3,6,1,5]=>[6,2,7,4,1,3,8,5]
[1,6,8,4,5,3,7,2]=>[1,7,5,8,4,6,3,2]
[1,2,8,3,5,6,4,7]=>[1,2,8,6,3,5,4,7]
[3,5,7,4,8,1,6,2]=>[8,6,3,7,5,1,4,2]
[4,2,8,3,1,5,7,6]=>[3,8,4,1,2,7,5,6]
[2,8,1,3,5,4,6,7]=>[8,2,1,5,3,4,6,7]
[1,8,4,2,5,6,3,7]=>[1,4,8,6,3,5,2,7]
[1,5,2,8,6,4,3,7]=>[1,5,4,6,2,8,3,7]
[7,4,8,6,3,1,2,5]=>[3,1,6,8,4,7,2,5]
[3,6,8,4,1,2,5,7]=>[4,1,3,8,2,6,5,7]
[4,7,8,5,2,1,3,6]=>[2,5,1,4,8,3,7,6]
[6,1,5,2,8,7,3,4]=>[6,5,7,3,1,2,8,4]
[8,1,3,5,7,4,2,6]=>[8,4,1,7,3,2,5,6]
[3,1,8,5,4,7,2,6]=>[3,7,1,5,8,2,4,6]
[3,1,6,4,8,5,2,7]=>[3,5,1,8,6,2,4,7]
[5,1,3,4,2,6,8,7]=>[5,4,1,3,2,6,8,7]
[3,2,6,4,1,5,7,8]=>[4,3,2,6,1,5,7,8]
[5,4,2,1,8,3,6,7]=>[2,4,5,8,3,1,6,7]
[4,2,5,1,8,7,3,6]=>[5,4,7,2,1,3,8,6]
[6,8,2,7,1,4,3,5]=>[7,8,4,1,3,6,2,5]
[1,8,4,7,3,2,5,6]=>[1,3,7,8,2,5,4,6]
[8,6,3,1,5,7,2,4]=>[3,6,8,2,1,7,5,4]
[5,8,3,1,4,7,6,2]=>[3,8,6,2,5,7,4,1]
[1,2,5,4,7,8,3,6]=>[1,2,8,5,4,3,7,6]
[1,8,3,2,6,4,7,5]=>[1,3,8,6,7,2,4,5]
[4,7,1,2,5,3,6,8]=>[7,1,5,4,2,3,6,8]
[6,8,4,1,3,7,2,5]=>[4,8,2,7,1,6,3,5]
[3,2,6,1,7,8,5,4]=>[6,3,2,5,8,1,7,4]
[7,6,4,1,8,3,5,2]=>[4,6,5,7,2,8,1,3]
[5,4,1,6,7,3,2,8]=>[4,3,5,7,2,6,1,8]
[7,4,1,6,5,8,2,3]=>[4,7,1,8,6,2,5,3]
[8,5,4,1,6,7,3,2]=>[4,3,5,8,7,1,6,2]
[6,5,7,3,2,8,4,1]=>[4,3,8,7,6,5,1,2]
[6,4,1,2,7,5,3,8]=>[4,1,6,5,7,3,2,8]
[7,4,3,5,2,8,6,1]=>[6,5,4,8,1,7,2,3]
[5,2,8,3,6,4,7,1]=>[7,5,8,6,2,3,4,1]
[5,4,6,1,2,7,3,8]=>[6,1,7,5,4,2,3,8]
[8,5,4,6,2,1,7,3]=>[2,6,7,5,8,4,1,3]
[8,5,1,7,2,3,6,4]=>[5,8,1,7,6,4,2,3]
[5,2,6,4,8,1,3,7]=>[8,5,1,6,2,4,3,7]
[5,2,1,6,4,7,8,3]=>[2,5,8,6,1,4,7,3]
[1,6,2,3,5,7,8,4]=>[1,6,2,8,3,5,7,4]
[7,2,5,1,3,4,8,6]=>[5,7,1,3,2,8,4,6]
[1,3,4,8,5,2,6,7]=>[1,5,3,4,8,2,6,7]
[8,2,4,6,1,7,3,5]=>[6,8,7,2,3,4,1,5]
[6,2,7,5,1,3,4,8]=>[5,7,2,3,6,1,4,8]
[6,5,7,1,2,3,8,4]=>[7,1,2,8,6,5,3,4]
[3,2,7,4,1,5,6,8]=>[4,3,2,7,1,5,6,8]
[4,7,2,1,5,6,8,3]=>[2,7,8,4,1,5,6,3]
[7,2,3,5,8,6,1,4]=>[6,8,1,2,3,7,5,4]
[5,8,2,3,6,7,1,4]=>[7,8,2,1,5,3,6,4]
[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]
[8,4,1,7,2,5,3,6]=>[4,8,7,5,3,1,2,6]
[4,2,7,1,5,3,6,8]=>[7,4,5,2,1,3,6,8]
[7,3,1,4,2,5,8,6]=>[3,7,4,2,1,8,5,6]
[3,2,5,7,8,4,1,6]=>[4,3,2,8,5,1,7,6]
[3,4,7,8,2,5,1,6]=>[5,8,3,4,2,1,7,6]
[4,2,5,3,7,8,1,6]=>[8,4,5,2,3,1,7,6]
[4,3,5,1,6,2,7,8]=>[5,6,4,3,1,2,7,8]
[8,6,3,5,4,1,2,7]=>[4,1,5,6,2,8,3,7]
[8,3,2,6,1,5,4,7]=>[6,3,8,5,1,2,4,7]
[8,5,1,7,4,6,2,3]=>[5,8,1,6,7,3,2,4]
[4,8,1,7,6,3,5,2]=>[8,5,6,4,3,7,1,2]
[8,5,1,7,4,3,6,2]=>[5,8,4,6,7,1,2,3]
[8,5,7,6,2,1,3,4]=>[2,6,1,3,7,8,4,5]
[5,4,8,3,1,7,2,6]=>[3,8,7,5,4,1,2,6]
[5,1,4,8,3,2,7,6]=>[5,3,8,1,4,7,2,6]
[4,8,1,7,6,5,2,3]=>[8,5,2,4,6,7,1,3]
[4,3,8,7,2,6,1,5]=>[6,7,4,3,1,2,8,5]
[3,8,7,2,6,4,1,5]=>[4,6,3,7,2,1,8,5]
[8,2,5,7,4,3,6,1]=>[6,8,4,7,2,3,5,1]
[3,8,7,4,6,1,2,5]=>[6,1,3,7,2,4,8,5]
[8,7,6,3,5,4,1,2]=>[4,1,5,6,2,7,8,3]
[2,8,4,7,6,1,5,3]=>[6,2,5,7,4,8,1,3]
[2,5,4,8,3,1,7,6]=>[3,2,8,5,4,7,1,6]
[5,4,8,2,1,3,7,6]=>[2,8,1,5,4,7,3,6]
[3,8,7,2,6,1,5,4]=>[6,7,3,5,1,2,8,4]
[1,8,4,7,6,3,5,2]=>[1,5,6,7,4,8,3,2]
[1,8,3,7,6,5,2,4]=>[1,5,6,2,7,8,3,4]
[1,4,3,8,7,2,6,5]=>[1,7,4,3,6,2,8,5]
[7,1,5,4,6,2,3,8]=>[7,6,2,5,1,4,3,8]
[7,8,1,5,2,3,6,4]=>[8,5,2,6,1,3,7,4]
[7,4,1,3,6,2,5,8]=>[4,7,2,6,1,3,5,8]
[5,6,1,8,4,2,7,3]=>[6,4,8,7,5,1,3,2]
[7,8,6,4,1,5,3,2]=>[4,3,6,5,2,8,7,1]
[5,4,3,1,7,6,2,8]=>[3,4,5,6,1,7,2,8]
[3,1,6,5,7,4,2,8]=>[3,4,1,7,6,5,2,8]
[4,1,3,7,5,6,2,8]=>[4,6,1,3,7,5,2,8]
[5,6,1,7,4,2,3,8]=>[6,4,2,7,5,1,3,8]
[4,2,7,8,5,1,6,3]=>[5,4,8,2,6,3,7,1]
[7,3,8,6,4,5,2,1]=>[2,5,7,6,4,8,3,1]
[3,8,6,1,7,4,2,5]=>[6,4,3,8,1,7,2,5]
[2,6,8,3,1,7,4,5]=>[3,2,8,7,4,6,1,5]
[2,5,4,8,1,7,3,6]=>[8,2,7,5,4,3,1,6]
[7,5,2,4,8,3,6,1]=>[6,5,7,3,8,2,4,1]
[7,6,2,8,4,3,5,1]=>[5,6,4,7,2,8,3,1]
[6,8,1,2,5,7,3,4]=>[8,1,7,3,2,6,5,4]
[7,8,2,6,3,5,4,1]=>[4,5,8,6,1,3,7,2]
[3,8,6,4,7,5,2,1]=>[2,5,3,7,6,8,1,4]
[7,2,6,5,8,3,4,1]=>[4,7,8,3,6,2,5,1]
[5,6,3,1,4,2,7,8]=>[3,6,4,2,5,1,7,8]
[2,6,5,3,4,8,7,1]=>[7,2,5,3,6,4,8,1]
[3,1,5,4,2,6,7,8]=>[3,4,1,5,2,6,7,8]
[2,6,1,5,3,4,7,8]=>[6,2,5,3,1,4,7,8]
[5,2,3,6,7,4,1,8]=>[4,7,1,5,3,6,2,8]
[3,6,2,7,4,5,1,8]=>[5,6,3,7,4,2,1,8]
[2,3,7,1,6,4,5,8]=>[7,2,3,6,4,1,5,8]
[3,4,7,8,5,1,6,2]=>[5,8,3,4,6,2,7,1]
[3,6,2,4,7,8,5,1]=>[5,8,3,1,6,4,7,2]
[5,2,3,6,4,8,7,1]=>[7,5,2,6,3,4,8,1]
[8,7,5,4,2,6,3,1]=>[3,6,4,5,7,1,8,2]
[3,7,6,2,5,4,8,1]=>[8,6,3,5,2,7,4,1]
[5,3,6,4,8,7,2,1]=>[2,7,5,6,3,4,8,1]
[1,5,4,8,6,2,7,3]=>[1,6,8,5,4,7,3,2]
[4,5,2,7,6,3,8,1]=>[8,5,6,4,2,7,3,1]
[7,5,1,2,6,4,8,3]=>[5,1,7,8,6,3,2,4]
[5,3,8,1,2,7,6,4]=>[8,1,5,6,3,7,2,4]
[2,1,8,6,5,3,7,4]=>[2,1,5,6,8,7,3,4]
[5,8,3,1,2,7,6,4]=>[3,1,8,6,5,7,2,4]
[7,6,2,5,3,8,4,1]=>[4,8,6,5,3,7,1,2]
[7,3,4,6,5,8,2,1]=>[2,8,7,3,6,4,5,1]
[6,5,2,4,7,3,8,1]=>[8,5,6,3,7,4,2,1]
[6,1,5,7,4,8,2,3]=>[6,8,2,7,1,5,4,3]
[8,1,4,3,7,5,2,6]=>[8,5,4,1,7,2,3,6]
[8,4,5,7,2,1,3,6]=>[2,7,1,8,4,3,5,6]
[8,4,6,1,3,7,2,5]=>[6,7,1,8,2,4,3,5]
[7,4,6,1,5,8,2,3]=>[6,8,2,7,1,4,5,3]
[4,8,5,1,2,3,6,7]=>[5,1,2,4,8,3,6,7]
[8,6,2,4,5,1,3,7]=>[5,6,1,2,4,8,3,7]
[4,5,1,3,8,6,2,7]=>[5,6,1,4,3,8,2,7]
[8,5,1,3,4,7,2,6]=>[5,8,2,3,7,1,4,6]
[4,2,7,1,3,6,8,5]=>[7,4,1,2,8,3,6,5]
[8,3,6,5,2,7,4,1]=>[4,7,5,6,8,3,1,2]
[8,4,5,6,2,7,3,1]=>[3,7,6,8,4,5,1,2]
[5,8,3,6,4,7,2,1]=>[2,7,8,6,5,3,4,1]
[1,5,8,4,6,2,7,3]=>[1,6,7,8,5,4,2,3]
[1,7,5,6,2,8,4,3]=>[1,6,4,8,7,5,2,3]
[7,3,6,5,8,4,2,1]=>[2,4,8,7,6,1,5,3]
[5,4,6,8,3,2,7,1]=>[7,3,8,5,4,6,2,1]
[7,4,2,3,6,8,5,1]=>[5,4,1,8,7,3,6,2]
[2,7,3,8,5,4,6,1]=>[6,2,7,5,8,4,3,1]
[2,1,6,7,4,8,3,5]=>[2,1,8,7,3,6,4,5]
[7,4,8,5,1,2,6,3]=>[5,1,8,6,7,3,2,4]
[6,4,5,7,2,8,3,1]=>[3,8,7,6,4,5,1,2]
[1,5,6,4,7,2,8,3]=>[1,7,8,6,5,4,2,3]
[7,8,1,3,6,4,5,2]=>[8,5,1,6,4,3,7,2]
[7,2,6,8,4,5,3,1]=>[3,5,7,8,4,1,6,2]
[7,3,6,8,5,1,4,2]=>[5,4,8,3,7,1,6,2]
[7,5,8,1,6,2,4,3]=>[8,6,4,2,7,1,5,3]
[5,7,8,1,6,3,2,4]=>[8,3,6,2,5,1,7,4]
[7,2,6,8,5,1,4,3]=>[5,8,4,2,7,1,6,3]
[7,5,2,4,8,3,1,6]=>[3,8,5,1,7,2,4,6]
[7,8,3,1,6,2,5,4]=>[3,8,6,5,1,2,7,4]
[6,7,8,4,3,1,5,2]=>[3,4,8,5,1,6,7,2]
[7,8,3,6,4,1,5,2]=>[4,6,5,8,2,1,7,3]
[7,3,8,1,6,4,5,2]=>[8,5,7,6,4,1,3,2]
[1,7,5,8,2,4,6,3]=>[1,8,6,2,7,4,5,3]
[7,5,2,8,1,4,6,3]=>[8,5,7,1,6,4,3,2]
[3,7,8,2,6,5,1,4]=>[5,6,3,2,8,1,7,4]
[3,7,8,2,1,6,4,5]=>[2,8,3,6,4,1,7,5]
[7,8,1,6,3,5,4,2]=>[8,4,5,6,2,1,7,3]
[6,7,8,2,5,4,3,1]=>[3,4,5,8,2,6,7,1]
[6,7,8,3,1,5,4,2]=>[3,8,4,5,2,6,7,1]
[7,8,1,6,2,5,4,3]=>[8,6,4,5,2,1,7,3]
[5,6,1,4,3,8,2,7]=>[6,8,4,1,5,3,2,7]
[4,1,8,3,7,6,5,2]=>[4,5,6,1,7,8,3,2]
[5,1,6,8,3,4,7,2]=>[5,7,8,3,1,6,4,2]
[7,1,6,8,5,4,3,2]=>[7,3,4,5,8,1,6,2]
[8,7,1,6,5,4,2,3]=>[7,4,2,5,6,1,8,3]
[4,7,6,2,5,3,1,8]=>[3,5,6,4,1,7,2,8]
[7,8,1,6,5,4,2,3]=>[8,4,2,5,6,1,7,3]
[3,5,2,8,4,1,7,6]=>[4,8,3,5,1,7,2,6]
[3,6,2,8,5,4,1,7]=>[4,5,3,8,6,2,1,7]
[8,4,6,3,5,2,1,7]=>[2,5,6,8,3,4,1,7]
[4,6,8,2,5,3,1,7]=>[3,5,8,4,1,6,2,7]
[4,5,8,2,3,6,1,7]=>[6,8,2,4,5,3,1,7]
[7,6,8,1,5,3,2,4]=>[8,3,5,2,1,7,6,4]
[8,6,7,4,1,3,2,5]=>[4,3,1,7,2,8,6,5]
[6,8,7,4,1,2,3,5]=>[4,1,2,7,3,6,8,5]
[5,6,8,1,2,3,7,4]=>[8,1,2,7,5,6,3,4]
[5,6,1,8,2,4,7,3]=>[6,8,7,2,5,1,4,3]
[8,5,7,1,3,6,2,4]=>[7,6,1,2,8,3,5,4]
[4,8,1,2,7,6,5,3]=>[8,1,5,4,6,7,2,3]
[4,6,1,2,8,5,7,3]=>[6,1,7,4,8,2,5,3]
[3,6,2,1,8,5,7,4]=>[2,6,3,7,8,1,5,4]
[3,7,2,1,8,6,5,4]=>[2,7,3,5,6,8,1,4]
[5,4,7,3,2,6,1,8]=>[6,3,7,5,4,2,1,8]
[6,4,7,3,5,2,1,8]=>[2,5,7,6,3,4,1,8]
[3,8,2,7,5,1,4,6]=>[5,7,3,2,8,4,1,6]
[3,6,2,8,1,4,7,5]=>[8,6,3,1,7,2,4,5]
[4,7,8,2,1,6,3,5]=>[2,8,6,4,3,1,7,5]
[5,7,8,4,2,1,3,6]=>[2,4,1,8,5,3,7,6]
[7,5,8,4,3,1,2,6]=>[3,1,4,8,7,2,5,6]
[6,4,8,3,1,2,7,5]=>[3,1,8,6,7,4,2,5]
[6,4,8,3,5,2,1,7]=>[2,5,8,6,3,4,1,7]
[3,1,6,2,5,7,8,4]=>[3,6,1,8,2,5,7,4]
[3,1,6,5,7,8,2,4]=>[3,8,1,2,6,5,7,4]
[2,1,6,3,5,7,4,8]=>[2,1,6,7,3,5,4,8]
[1,6,4,5,2,7,3,8]=>[1,5,7,6,4,2,3,8]
[1,6,5,2,7,3,4,8]=>[1,5,6,2,7,3,4,8]
[1,4,7,3,2,5,6,8]=>[1,3,7,4,2,5,6,8]
[2,1,6,5,7,3,4,8]=>[2,1,7,3,6,5,4,8]
[2,1,6,7,4,3,5,8]=>[2,1,4,7,3,6,5,8]
[2,7,4,3,5,1,6,8]=>[5,2,4,7,3,1,6,8]
[7,1,4,3,5,2,6,8]=>[7,5,4,1,3,2,6,8]
[3,1,6,7,4,2,5,8]=>[3,4,1,7,2,6,5,8]
[6,1,7,2,4,3,5,8]=>[6,7,4,2,3,1,5,8]
[1,3,7,4,5,2,6,8]=>[1,5,3,7,4,2,6,8]
[1,5,7,2,6,3,4,8]=>[1,7,6,3,5,2,4,8]
[6,2,1,4,5,3,7,8]=>[2,6,5,1,4,3,7,8]
[6,2,1,5,7,3,4,8]=>[2,6,7,3,1,5,4,8]
[6,2,4,8,3,5,1,7]=>[5,6,8,2,3,4,1,7]
[2,7,4,5,3,1,6,8]=>[3,2,5,7,4,1,6,8]
[5,3,7,4,2,1,6,8]=>[2,4,7,5,1,3,6,8]
[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]
[1,3,5,8,2,6,7,4]=>[1,8,3,7,5,2,6,4]
[6,1,3,7,2,8,5,4]=>[6,7,1,5,8,3,2,4]
[2,1,8,3,6,5,4,7]=>[2,1,8,5,6,3,4,7]
[2,8,7,3,6,5,4,1]=>[4,2,5,6,7,3,8,1]
[6,4,5,8,3,7,1,2]=>[7,1,8,6,4,5,3,2]
[8,1,4,3,6,7,2,5]=>[8,7,4,1,2,3,6,5]
[2,6,8,4,3,1,7,5]=>[3,2,4,8,7,6,1,5]
[3,8,5,1,6,2,4,7]=>[5,8,3,1,6,2,4,7]
[8,1,5,2,6,4,3,7]=>[8,5,4,6,1,2,3,7]
[8,1,6,5,2,4,3,7]=>[8,5,4,2,6,1,3,7]
[3,8,6,5,1,2,4,7]=>[5,1,3,2,6,8,4,7]
[1,4,5,7,8,3,2,6]=>[1,3,8,4,5,2,7,6]
[1,6,7,4,2,8,3,5]=>[1,4,7,8,2,6,3,5]
[1,7,8,4,3,6,2,5]=>[1,6,4,8,2,3,7,5]
[5,7,8,1,4,3,2,6]=>[8,3,4,1,5,2,7,6]
[1,5,8,7,4,3,2,6]=>[1,3,4,7,5,2,8,6]
[5,1,3,7,8,2,4,6]=>[5,8,1,2,3,4,7,6]
[1,7,8,4,3,2,6,5]=>[1,3,4,8,6,2,7,5]
[1,4,7,2,3,6,8,5]=>[1,7,2,4,8,3,6,5]
[3,1,2,6,7,8,5,4]=>[3,1,2,5,8,6,7,4]
[2,7,1,4,3,5,8,6]=>[7,2,4,1,3,8,5,6]
[8,1,5,7,3,4,2,6]=>[8,4,7,3,1,2,5,6]
[3,8,1,6,4,2,7,5]=>[8,4,3,6,7,1,2,5]
[8,5,1,3,2,7,4,6]=>[5,3,1,8,7,2,4,6]
[2,1,6,3,8,7,5,4]=>[2,1,6,5,7,3,8,4]
[1,6,3,4,7,8,2,5]=>[1,8,6,3,2,4,7,5]
[3,1,5,7,6,2,8,4]=>[3,6,1,7,5,8,4,2]
[6,3,1,4,2,7,8,5]=>[3,6,4,2,8,1,7,5]
[2,4,3,7,6,1,8,5]=>[6,2,4,3,7,8,5,1]
[3,1,7,6,5,2,8,4]=>[3,5,1,6,7,8,2,4]
[1,4,7,6,8,3,2,5]=>[1,3,8,4,2,7,6,5]
[7,2,1,5,6,3,8,4]=>[2,7,6,8,1,5,3,4]
[4,3,1,8,6,2,7,5]=>[3,4,6,2,8,7,5,1]
[3,1,5,2,8,7,6,4]=>[3,5,1,6,2,7,8,4]
[1,2,8,4,3,7,6,5]=>[1,2,4,8,6,7,3,5]
[2,6,1,8,7,4,3,5]=>[6,2,4,7,3,1,8,5]
[7,5,1,8,3,2,6,4]=>[5,3,7,8,6,4,2,1]
[4,7,6,3,1,8,2,5]=>[3,6,7,4,2,8,1,5]
[5,3,1,8,6,2,4,7]=>[3,5,6,1,2,8,4,7]
[5,1,8,6,3,2,4,7]=>[5,3,6,2,1,8,4,7]
[1,5,4,2,8,6,3,7]=>[1,4,5,6,3,8,2,7]
[1,4,2,8,5,3,7,6]=>[1,4,5,2,8,7,3,6]
[8,3,1,6,4,2,5,7]=>[3,8,4,6,1,2,5,7]
[1,7,4,8,3,5,2,6]=>[1,5,8,7,3,2,4,6]
[7,3,2,4,8,5,1,6]=>[5,3,8,1,7,2,4,6]
[5,7,8,1,4,2,6,3]=>[8,4,6,1,5,2,7,3]
[2,6,3,8,1,7,5,4]=>[8,2,6,5,7,3,1,4]
[2,5,1,8,6,3,7,4]=>[5,2,6,8,1,7,4,3]
[2,8,6,4,1,7,3,5]=>[4,2,6,8,3,7,1,5]
[1,8,4,2,7,5,3,6]=>[1,4,8,5,7,2,3,6]
[6,5,1,7,2,8,4,3]=>[5,6,4,7,8,2,3,1]
[2,8,1,7,5,3,6,4]=>[8,2,5,7,6,4,1,3]
[1,2,8,7,6,4,3,5]=>[1,2,4,6,3,7,8,5]
[4,1,7,8,6,3,5,2]=>[4,5,6,1,3,8,7,2]
[1,6,5,7,8,4,2,3]=>[1,4,2,8,6,5,7,3]
[4,1,8,7,6,3,5,2]=>[4,5,6,1,3,7,8,2]
[4,8,2,6,3,5,1,7]=>[5,8,6,4,3,2,1,7]
[4,3,5,7,1,6,2,8]=>[7,6,4,3,5,1,2,8]
[4,1,8,5,3,6,2,7]=>[4,6,5,1,8,3,2,7]
[6,4,2,5,3,1,7,8]=>[3,5,4,6,1,2,7,8]
[3,1,5,8,2,7,4,6]=>[3,8,1,7,5,4,2,6]
[6,4,1,5,3,2,7,8]=>[4,3,6,5,2,1,7,8]
[6,2,1,5,4,3,7,8]=>[2,6,4,5,1,3,7,8]
[3,1,8,5,4,6,2,7]=>[3,6,1,5,8,4,2,7]
[6,1,8,4,5,3,2,7]=>[6,3,5,8,4,1,2,7]
[4,5,2,7,1,6,3,8]=>[7,5,6,4,2,1,3,8]
[4,3,5,7,1,6,8,2]=>[7,8,4,3,5,1,6,2]
[4,1,8,5,3,6,7,2]=>[4,7,5,1,8,3,6,2]
[6,3,8,4,5,1,7,2]=>[5,7,6,8,4,3,1,2]
[3,1,6,8,5,7,4,2]=>[3,4,1,7,8,6,5,2]
[2,6,1,8,5,7,4,3]=>[6,2,4,7,8,1,5,3]
[6,3,8,4,5,2,1,7]=>[2,5,6,8,4,3,1,7]
[6,5,8,7,2,3,4,1]=>[4,7,2,3,6,5,8,1]
[6,3,8,4,5,2,7,1]=>[7,5,6,8,4,3,2,1]
[2,1,6,8,5,3,7,4]=>[2,1,5,8,7,6,4,3]
[3,2,6,8,5,4,7,1]=>[7,3,2,5,8,6,4,1]
[4,1,8,5,2,6,3,7]=>[4,5,8,1,6,3,2,7]
[3,1,6,8,5,2,4,7]=>[3,5,1,2,8,6,4,7]
[6,5,8,7,4,1,2,3]=>[4,1,2,7,6,5,8,3]
[6,5,8,7,4,2,1,3]=>[2,4,1,7,6,5,8,3]
[6,5,8,7,2,4,1,3]=>[4,7,1,2,6,5,8,3]
[6,2,8,4,5,7,1,3]=>[7,6,1,8,4,2,5,3]
[6,1,8,4,5,7,3,2]=>[6,3,7,8,4,1,5,2]
[4,2,7,3,5,8,6,1]=>[6,4,8,2,1,7,5,3]
[3,6,2,4,8,5,7,1]=>[7,6,3,2,8,4,5,1]
[4,7,3,5,2,8,6,1]=>[6,5,8,4,1,7,2,3]
[2,7,5,4,3,8,6,1]=>[6,2,4,5,8,7,1,3]
[3,5,1,8,4,7,6,2]=>[5,6,3,7,1,8,2,4]
[3,6,1,8,5,4,7,2]=>[6,7,3,5,8,1,4,2]
[4,7,2,3,8,6,5,1]=>[5,6,2,4,8,7,3,1]
[2,4,8,3,7,6,5,1]=>[5,2,6,4,7,8,3,1]
[3,6,8,2,5,7,4,1]=>[4,7,3,8,1,6,5,2]
[5,1,7,8,4,6,3,2]=>[5,3,6,8,1,4,7,2]
[5,7,4,8,3,2,6,1]=>[6,3,8,7,5,2,4,1]
[2,6,8,5,4,3,7,1]=>[7,2,4,5,8,6,3,1]
[3,6,8,2,5,4,7,1]=>[7,8,3,5,2,6,4,1]
[4,6,8,3,2,5,7,1]=>[7,3,8,4,2,6,5,1]
[4,6,2,8,3,5,7,1]=>[7,6,8,4,3,2,5,1]
[3,6,1,8,5,7,4,2]=>[6,4,3,7,8,1,5,2]
[5,2,6,8,4,1,7,3]=>[4,8,5,7,3,6,2,1]
[4,6,3,8,7,2,5,1]=>[5,7,6,4,2,3,8,1]
[5,7,2,4,8,6,3,1]=>[3,6,8,2,5,7,4,1]
[3,5,8,2,7,4,6,1]=>[6,8,3,7,5,4,2,1]
[2,6,7,8,5,1,4,3]=>[5,2,4,1,8,6,7,3]
[2,6,8,5,7,4,3,1]=>[3,2,4,7,8,6,5,1]
[2,4,8,7,6,3,5,1]=>[5,2,6,4,3,7,8,1]
[6,5,3,1,7,4,8,2]=>[3,5,6,8,7,1,2,4]
[6,4,1,7,2,5,8,3]=>[4,6,7,8,3,2,5,1]
[7,5,1,6,3,2,8,4]=>[5,3,7,6,8,2,4,1]
[7,1,5,2,3,8,4,6]=>[7,5,2,8,1,4,3,6]
[2,7,6,3,4,1,8,5]=>[4,2,6,3,7,8,5,1]
[5,7,6,3,1,2,8,4]=>[3,1,6,7,5,8,4,2]
[8,6,4,3,1,7,5,2]=>[3,4,6,5,8,7,2,1]
[1,6,4,3,2,8,5,7]=>[1,3,4,6,8,2,5,7]
[6,7,5,1,4,8,2,3]=>[5,7,1,2,8,6,4,3]
[7,8,5,4,2,6,3,1]=>[3,6,4,5,8,1,7,2]
[4,8,2,1,7,5,6,3]=>[2,8,6,4,7,5,1,3]
[6,3,8,5,7,2,4,1]=>[4,7,6,2,8,3,5,1]
[1,5,4,8,6,2,3,7]=>[1,6,2,5,4,8,3,7]
[8,2,1,7,5,3,6,4]=>[2,8,5,7,6,4,1,3]
[8,3,4,7,1,5,6,2]=>[7,6,8,3,1,5,4,2]
[2,5,1,7,4,8,3,6]=>[5,2,8,7,1,3,4,6]
[5,1,7,4,2,8,3,6]=>[5,4,7,8,1,2,3,6]
[8,2,1,6,7,3,5,4]=>[2,8,7,5,3,1,6,4]
[5,3,2,8,7,6,1,4]=>[6,3,5,1,2,7,8,4]
[6,2,8,1,7,5,3,4]=>[8,6,5,3,7,2,1,4]
[3,2,6,8,1,7,5,4]=>[8,3,2,5,7,6,1,4]
[4,2,8,7,5,1,6,3]=>[5,4,7,2,6,3,8,1]
[8,3,7,6,4,5,2,1]=>[2,5,8,6,4,7,3,1]
[5,2,8,7,6,3,1,4]=>[3,6,5,2,1,7,8,4]
[3,5,1,8,7,6,2,4]=>[5,6,3,2,1,7,8,4]
[5,6,2,7,8,1,3,4]=>[8,6,1,3,5,2,7,4]
[2,7,5,1,3,4,6,8]=>[5,2,1,3,7,4,6,8]
[4,7,3,1,2,5,6,8]=>[3,1,7,4,2,5,6,8]
[4,7,3,5,6,1,2,8]=>[6,1,7,4,3,5,2,8]
[4,7,3,5,6,8,1,2]=>[8,1,7,4,3,5,6,2]
[4,7,8,3,5,6,1,2]=>[6,1,8,4,3,5,7,2]
[4,7,8,3,5,1,2,6]=>[5,1,8,4,3,2,7,6]
[7,8,5,2,6,1,3,4]=>[6,5,1,3,8,2,7,4]
[3,2,5,1,4,8,6,7]=>[5,3,2,1,4,8,6,7]
[3,2,5,6,8,4,7,1]=>[7,3,2,8,5,6,4,1]
[8,4,6,5,2,3,7,1]=>[7,5,2,6,8,3,4,1]
[8,4,5,2,6,3,7,1]=>[7,5,6,8,4,2,3,1]
[2,5,6,4,8,3,7,1]=>[7,2,8,6,5,4,3,1]
[5,3,2,4,7,8,1,6]=>[8,3,5,2,4,1,7,6]
[4,2,5,7,3,8,1,6]=>[8,4,7,2,5,1,3,6]
[4,7,3,1,6,8,2,5]=>[3,7,8,4,1,2,6,5]
[4,2,3,6,7,1,8,5]=>[7,4,2,3,8,6,1,5]
[4,2,7,6,8,1,3,5]=>[8,4,1,2,3,7,6,5]
[1,7,4,6,8,3,2,5]=>[1,3,8,7,2,4,6,5]
[1,2,5,7,6,3,8,4]=>[1,2,6,7,5,8,4,3]
[6,4,3,2,7,1,8,5]=>[7,3,4,6,8,2,1,5]
[1,3,7,8,6,5,2,4]=>[1,5,3,2,6,8,7,4]
[1,6,5,7,3,2,8,4]=>[1,3,7,8,6,5,2,4]
[5,2,6,8,1,7,3,4]=>[8,5,7,3,2,6,1,4]
[5,2,6,7,1,3,8,4]=>[7,5,1,8,2,6,3,4]
[6,2,4,3,7,1,8,5]=>[7,6,4,2,8,3,1,5]
[5,2,7,6,1,8,3,4]=>[6,5,7,1,2,8,3,4]
[5,6,3,7,1,2,8,4]=>[7,1,6,8,5,3,2,4]
[4,7,2,5,6,3,1,8]=>[3,6,7,4,1,5,2,8]
[1,3,2,7,6,4,8,5]=>[1,3,2,6,7,8,5,4]
[6,2,1,7,3,4,5,8]=>[2,6,7,3,4,1,5,8]
[5,4,1,3,7,8,2,6]=>[4,5,2,8,3,1,7,6]
[5,1,3,6,7,8,2,4]=>[5,8,1,2,3,6,7,4]
[6,1,5,8,3,7,2,4]=>[6,7,8,2,1,5,3,4]
[4,1,2,7,5,3,8,6]=>[4,1,5,2,7,8,3,6]
[4,1,3,5,7,8,2,6]=>[4,8,1,3,5,2,7,6]
[1,2,4,7,5,3,8,6]=>[1,2,5,4,7,8,3,6]
[6,1,5,8,4,3,2,7]=>[6,3,4,8,1,5,2,7]
[7,2,1,6,8,3,5,4]=>[2,7,8,5,3,1,6,4]
[5,1,4,3,7,8,2,6]=>[5,8,4,1,3,2,7,6]
[6,1,3,7,2,4,8,5]=>[6,7,1,2,8,3,4,5]
[5,6,4,1,8,3,2,7]=>[4,3,6,8,5,2,1,7]
[4,5,2,1,7,8,3,6]=>[2,5,8,4,1,3,7,6]
[7,2,5,6,3,4,1,8]=>[4,7,6,3,2,5,1,8]
[2,3,7,8,5,1,6,4]=>[5,2,3,8,6,4,7,1]
[6,2,8,5,7,4,3,1]=>[3,4,7,6,8,2,5,1]
[4,1,7,6,2,3,8,5]=>[4,6,2,1,7,8,5,3]
[1,2,6,7,4,3,5,8]=>[1,2,4,7,3,6,5,8]
[3,6,7,4,5,1,8,2]=>[5,8,3,7,4,6,1,2]
[5,8,6,3,4,1,2,7]=>[4,1,6,3,5,8,2,7]
[6,2,3,1,8,5,4,7]=>[3,6,2,5,8,1,4,7]
[5,1,2,6,4,8,3,7]=>[5,1,8,6,2,4,3,7]
[8,6,2,3,7,5,1,4]=>[5,7,1,2,6,8,3,4]
[4,5,2,8,6,1,3,7]=>[6,5,1,4,2,8,3,7]
[3,4,8,2,5,6,1,7]=>[6,8,3,4,2,5,1,7]
[8,5,6,3,7,1,4,2]=>[7,4,6,1,8,5,3,2]
[2,8,3,6,7,4,5,1]=>[5,2,8,7,4,3,6,1]
[2,5,7,8,3,4,6,1]=>[6,2,8,3,5,4,7,1]
[8,1,3,6,5,4,7,2]=>[8,7,1,5,6,3,4,2]
[8,1,3,2,5,7,4,6]=>[8,3,1,7,2,4,5,6]
[6,3,7,8,5,1,4,2]=>[5,4,8,3,6,1,7,2]
[6,8,2,7,5,3,1,4]=>[3,5,7,1,8,6,2,4]
[6,3,2,5,8,4,1,7]=>[4,3,8,6,1,5,2,7]
[5,6,7,2,8,4,1,3]=>[4,8,2,7,5,6,1,3]
[3,4,1,7,6,2,8,5]=>[4,6,3,1,7,8,5,2]
[6,8,7,1,3,5,2,4]=>[7,5,1,2,3,6,8,4]
[5,8,3,6,4,1,7,2]=>[4,6,7,8,5,1,2,3]
[7,5,4,6,1,3,8,2]=>[6,8,1,5,7,4,3,2]
[4,3,8,5,2,7,1,6]=>[7,5,4,3,8,1,2,6]
[5,6,8,2,4,3,1,7]=>[3,4,8,1,5,6,2,7]
[7,5,8,3,2,1,4,6]=>[2,3,8,1,7,4,5,6]
[3,6,4,5,7,2,1,8]=>[2,7,3,6,4,5,1,8]
[3,6,7,4,5,2,1,8]=>[2,5,3,7,4,6,1,8]
[4,6,8,5,7,1,3,2]=>[7,3,1,4,8,6,5,2]
[2,4,7,1,5,8,3,6]=>[7,2,8,4,1,3,5,6]
[8,1,4,7,5,3,6,2]=>[8,6,5,1,7,3,4,2]
[3,5,7,1,6,4,8,2]=>[7,8,3,6,5,1,4,2]
[3,6,5,1,7,4,2,8]=>[5,4,3,6,7,2,1,8]
[2,8,4,5,1,6,3,7]=>[5,2,6,8,4,1,3,7]
[2,6,7,4,1,5,3,8]=>[4,2,7,5,3,6,1,8]
[3,2,5,8,4,7,1,6]=>[7,3,2,8,5,1,4,6]
[8,5,1,2,4,6,3,7]=>[5,1,8,3,6,4,2,7]
[2,5,8,1,3,4,7,6]=>[8,2,1,3,5,7,4,6]
[3,5,1,8,7,4,2,6]=>[5,4,3,7,1,2,8,6]
[1,4,8,7,5,2,3,6]=>[1,5,2,4,7,3,8,6]
[6,7,1,2,5,3,8,4]=>[7,1,5,8,2,6,3,4]
[7,8,6,1,2,5,3,4]=>[6,1,5,3,2,8,7,4]
[4,6,1,3,8,2,7,5]=>[6,8,1,4,7,3,2,5]
[8,5,1,2,3,7,6,4]=>[5,1,2,8,6,7,4,3]
[6,8,1,2,3,7,5,4]=>[8,1,2,5,7,6,3,4]
[2,3,7,4,8,6,1,5]=>[6,2,3,8,4,7,1,5]
[7,3,1,8,4,6,2,5]=>[3,7,6,8,1,4,2,5]
[2,3,7,6,8,1,4,5]=>[8,2,3,1,4,7,6,5]
[3,5,1,8,4,7,2,6]=>[5,7,3,8,1,2,4,6]
[7,6,1,2,3,5,8,4]=>[6,1,2,7,4,8,5,3]
[8,6,1,2,3,5,7,4]=>[6,1,2,8,4,7,5,3]
[8,2,6,7,4,3,1,5]=>[3,4,7,8,1,2,6,5]
[7,5,1,2,6,3,8,4]=>[5,1,7,6,8,3,4,2]
[6,2,1,7,4,8,5,3]=>[2,6,5,8,7,1,3,4]
[5,1,7,8,3,2,4,6]=>[5,3,8,2,1,4,7,6]
[3,1,7,6,2,8,5,4]=>[3,6,1,5,7,8,4,2]
[5,3,6,7,4,2,8,1]=>[8,4,7,5,2,6,3,1]
[2,4,5,1,8,7,6,3]=>[5,2,6,4,1,7,8,3]
[8,2,7,3,1,4,6,5]=>[3,7,8,2,6,4,1,5]
[6,8,7,3,1,5,2,4]=>[3,7,5,1,2,6,8,4]
[3,6,8,2,1,4,7,5]=>[2,8,3,1,7,6,4,5]
[3,5,4,8,6,7,2,1]=>[2,7,3,5,4,8,6,1]
[5,3,4,8,7,1,6,2]=>[7,6,5,3,4,1,8,2]
[5,4,2,8,6,7,3,1]=>[3,7,4,5,1,8,6,2]
[6,1,4,2,8,7,3,5]=>[6,4,7,1,3,2,8,5]
[3,2,4,6,8,5,7,1]=>[7,3,2,4,8,6,5,1]
[1,7,6,4,5,8,2,3]=>[1,8,2,6,4,7,5,3]
[7,2,1,3,8,5,6,4]=>[2,7,1,6,8,5,3,4]
[3,7,2,6,8,4,5,1]=>[5,7,3,8,4,2,6,1]
[6,2,4,5,7,8,3,1]=>[3,8,6,1,4,5,7,2]
[4,6,5,2,7,8,3,1]=>[3,8,5,4,6,1,7,2]
[5,4,6,2,7,8,3,1]=>[3,8,6,5,4,1,7,2]
[1,3,8,7,2,6,4,5]=>[1,7,3,6,4,2,8,5]
[5,1,8,6,4,2,7,3]=>[5,4,6,8,1,7,2,3]
[3,7,1,8,2,4,6,5]=>[7,8,3,2,6,4,1,5]
[2,5,8,1,4,6,3,7]=>[8,2,6,1,5,4,3,7]
[7,2,8,3,1,5,6,4]=>[3,8,7,6,2,5,1,4]
[6,2,1,8,5,7,4,3]=>[2,6,4,7,8,1,5,3]
[2,6,3,8,5,7,4,1]=>[4,2,7,6,8,1,5,3]
[5,4,7,2,3,8,6,1]=>[6,8,1,5,4,7,3,2]
[5,4,6,2,3,1,8,7]=>[3,6,2,5,4,1,8,7]
[6,5,7,8,1,3,4,2]=>[8,4,1,3,6,5,7,2]
[2,1,7,6,8,4,5,3]=>[2,1,5,8,4,7,6,3]
[6,5,7,8,1,3,2,4]=>[8,3,1,2,6,5,7,4]
[6,4,7,2,8,3,1,5]=>[3,8,7,6,2,4,1,5]
[6,3,2,7,8,4,5,1]=>[5,3,6,8,4,2,7,1]
[6,5,7,8,2,4,3,1]=>[3,4,8,1,6,5,7,2]
[6,4,7,1,8,5,3,2]=>[7,3,5,8,6,2,1,4]
[1,4,8,2,7,6,5,3]=>[1,8,5,4,6,7,2,3]
[4,7,3,1,5,2,8,6]=>[3,7,5,4,2,8,1,6]
[4,6,3,1,7,5,8,2]=>[3,6,8,4,7,2,5,1]
[5,7,4,3,1,2,8,6]=>[3,1,4,7,5,8,2,6]
[2,1,4,7,5,3,8,6]=>[2,1,5,4,7,8,3,6]
[4,7,3,6,5,2,8,1]=>[8,5,6,4,7,2,3,1]
[4,7,6,3,1,5,8,2]=>[3,6,7,4,1,8,5,2]
[2,4,7,3,8,5,1,6]=>[5,2,8,4,7,3,1,6]
[2,7,3,1,8,5,4,6]=>[3,2,7,5,8,4,1,6]
[2,5,3,1,7,4,8,6]=>[3,2,5,7,1,8,4,6]
[2,4,3,1,7,5,8,6]=>[3,2,4,1,7,8,5,6]
[2,7,3,8,6,5,1,4]=>[5,2,6,1,8,7,3,4]
[2,8,3,1,7,4,5,6]=>[3,2,8,7,4,5,1,6]
[6,7,5,2,1,4,8,3]=>[2,5,7,3,8,6,4,1]
[7,8,6,2,1,5,3,4]=>[2,6,5,3,1,8,7,4]
[7,8,6,3,2,5,1,4]=>[5,3,6,1,2,8,7,4]
[7,1,6,3,8,4,2,5]=>[7,4,8,6,3,1,2,5]
[5,8,4,2,6,1,7,3]=>[6,4,8,7,5,3,1,2]
[6,7,4,8,5,3,1,2]=>[3,1,5,8,7,6,2,4]
[7,8,6,3,5,2,1,4]=>[2,5,6,1,3,8,7,4]
[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]
[1,7,8,2,5,4,6,3]=>[1,8,6,5,2,4,7,3]
[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]
[1,6,2,5,3,7,8,4]=>[1,6,5,8,2,3,7,4]
[1,8,2,6,7,3,5,4]=>[1,8,7,5,3,2,6,4]
[1,3,6,8,4,7,2,5]=>[1,7,3,8,2,6,4,5]
[1,5,6,8,3,2,4,7]=>[1,3,8,2,5,6,4,7]
[1,7,3,5,4,2,8,6]=>[1,4,5,7,2,8,3,6]
[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]
[1,8,3,2,7,4,6,5]=>[1,3,8,7,6,4,2,5]
[1,2,8,5,3,4,7,6]=>[1,2,5,3,8,7,4,6]
[1,7,4,8,6,5,3,2]=>[1,3,5,6,8,7,4,2]
[1,6,8,7,2,4,3,5]=>[1,7,4,2,3,6,8,5]
[1,6,3,7,2,5,8,4]=>[1,7,6,8,2,3,5,4]
[1,3,6,5,4,8,2,7]=>[1,8,3,5,6,4,2,7]
[1,6,3,5,7,4,8,2]=>[1,8,6,7,3,5,4,2]
[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]
[1,7,2,3,8,4,6,5]=>[1,7,2,8,6,4,3,5]
[1,5,4,7,2,8,3,6]=>[1,7,8,5,4,3,2,6]
[8,4,5,6,2,7,1,3]=>[7,6,1,8,4,5,2,3]
[4,6,7,1,5,2,8,3]=>[7,5,8,4,1,6,2,3]
[3,8,4,7,5,2,6,1]=>[6,5,3,7,8,4,2,1]
[3,7,5,2,6,1,8,4]=>[6,5,3,7,8,4,1,2]
[3,8,5,2,6,1,7,4]=>[6,5,3,8,7,4,1,2]
[3,7,4,8,5,2,6,1]=>[6,5,3,8,7,4,2,1]
[3,6,1,5,2,8,7,4]=>[6,5,3,7,1,2,8,4]
[8,1,2,6,5,3,4,7]=>[8,1,5,3,6,2,4,7]
[3,7,4,2,5,6,1,8]=>[6,4,3,7,2,5,1,8]
[3,4,2,7,5,1,6,8]=>[5,4,3,2,7,1,6,8]
[6,7,1,3,4,2,5,8]=>[7,4,1,3,2,6,5,8]
[6,8,7,1,3,4,2,5]=>[7,4,1,3,2,6,8,5]
[3,4,2,8,6,7,5,1]=>[5,4,3,2,7,8,6,1]
[3,7,8,6,1,4,2,5]=>[6,4,3,1,2,8,7,5]
[3,6,1,5,2,7,8,4]=>[6,5,3,8,1,2,7,4]
[3,8,4,2,5,7,6,1]=>[6,4,3,7,1,8,5,2]
[7,1,6,8,3,4,2,5]=>[7,4,8,3,2,1,6,5]
[8,1,2,6,3,5,7,4]=>[8,1,6,7,3,2,5,4]
[7,4,8,1,2,6,3,5]=>[8,1,6,7,3,2,4,5]
[6,2,8,4,7,1,3,5]=>[7,6,1,8,3,2,4,5]
[8,3,4,2,5,7,1,6]=>[7,4,8,3,2,1,5,6]
[3,7,8,4,2,5,6,1]=>[6,4,3,8,2,5,7,1]
[3,8,4,2,5,6,1,7]=>[6,4,3,8,2,5,1,7]
[3,6,1,5,2,8,4,7]=>[6,5,3,8,1,2,4,7]
[7,1,3,4,8,5,2,6]=>[7,5,1,3,8,2,4,6]
[7,1,3,4,2,5,8,6]=>[7,4,1,3,2,8,5,6]
[3,4,2,8,5,1,6,7]=>[5,4,3,2,8,1,6,7]
[3,4,2,6,8,5,1,7]=>[5,4,3,2,8,6,1,7]
[8,7,1,3,4,2,5,6]=>[7,4,1,3,2,5,8,6]
[7,1,3,4,2,5,6,8]=>[7,4,1,3,2,5,6,8]
[3,6,1,4,2,5,7,8]=>[6,4,3,1,2,5,7,8]
[6,8,2,7,5,4,1,3]=>[4,5,1,7,8,6,2,3]
[1,8,4,3,7,6,2,5]=>[1,6,4,7,3,8,2,5]
[4,3,8,7,1,2,6,5]=>[7,1,4,3,6,2,8,5]
[1,8,4,5,7,6,2,3]=>[1,6,2,7,3,8,5,4]
[4,3,8,5,7,1,6,2]=>[7,6,4,3,8,1,5,2]
[6,3,4,8,7,2,1,5]=>[2,7,6,3,1,4,8,5]
[5,3,8,4,7,1,6,2]=>[7,6,5,8,3,1,4,2]
[5,2,8,7,1,4,6,3]=>[7,5,6,1,2,4,8,3]
[3,2,8,7,1,6,4,5]=>[7,3,2,6,4,1,8,5]
[2,7,8,3,1,6,4,5]=>[3,2,8,6,4,1,7,5]
[2,7,8,5,1,4,6,3]=>[5,2,8,3,6,4,7,1]
[3,5,8,7,4,1,6,2]=>[4,7,3,6,5,2,8,1]
[7,4,6,8,3,5,1,2]=>[5,1,8,7,3,4,6,2]
[2,7,8,1,3,6,4,5]=>[8,2,1,6,4,3,7,5]
[2,7,8,1,5,4,6,3]=>[8,2,6,5,1,4,7,3]
[2,7,8,1,4,5,6,3]=>[8,2,6,1,4,5,7,3]
[3,6,7,8,2,4,1,5]=>[4,8,3,2,1,6,7,5]
[4,5,7,8,6,3,1,2]=>[3,1,6,4,5,8,7,2]
[5,4,6,8,7,3,1,2]=>[3,1,7,5,4,6,8,2]
[4,5,8,6,7,1,3,2]=>[7,3,1,4,5,8,6,2]
[5,7,6,8,2,1,3,4]=>[2,8,1,3,5,7,6,4]
[3,7,6,8,2,4,1,5]=>[4,8,3,2,1,7,6,5]
[5,4,7,8,6,3,1,2]=>[3,1,6,5,4,8,7,2]
[4,5,7,8,2,6,1,3]=>[6,8,1,4,5,2,7,3]
[4,5,6,8,7,3,1,2]=>[3,1,7,4,5,6,8,2]
[8,1,7,5,4,3,6,2]=>[8,6,4,5,7,3,1,2]
[6,1,3,4,8,5,7,2]=>[6,7,1,3,8,4,5,2]
[5,7,3,4,2,1,6,8]=>[2,4,7,3,5,1,6,8]
[8,1,6,5,3,7,4,2]=>[8,4,7,5,6,1,2,3]
[7,1,6,4,5,3,8,2]=>[7,8,5,6,4,1,3,2]
[6,1,5,3,8,4,7,2]=>[6,7,5,8,1,3,4,2]
[4,1,8,6,7,2,5,3]=>[4,7,5,1,2,8,6,3]
[1,2,8,3,6,7,5,4]=>[1,2,8,5,7,3,6,4]
[6,8,5,4,1,2,3,7]=>[4,1,2,5,8,6,3,7]
[6,4,1,7,3,2,5,8]=>[4,3,6,7,1,2,5,8]
[8,3,6,1,2,5,4,7]=>[6,1,8,5,2,3,4,7]
[4,6,7,1,2,5,3,8]=>[7,1,5,4,2,6,3,8]
[6,1,7,3,2,5,8,4]=>[6,3,7,8,2,1,5,4]
[4,1,7,2,8,6,3,5]=>[4,7,6,1,3,8,2,5]
[7,4,1,8,2,3,6,5]=>[4,7,1,8,6,3,2,5]
[1,4,6,7,8,2,5,3]=>[1,8,5,4,2,6,7,3]
[3,7,1,6,2,4,5,8]=>[7,6,3,2,4,1,5,8]
[7,1,3,4,8,6,2,5]=>[7,6,1,3,2,8,4,5]
[5,2,7,4,8,1,3,6]=>[8,5,1,7,2,3,4,6]
[1,8,6,2,5,4,7,3]=>[1,6,8,5,3,7,4,2]
[8,3,1,2,5,6,4,7]=>[3,1,8,6,2,5,4,7]
[5,3,4,1,6,7,2,8]=>[4,7,5,3,1,6,2,8]
[5,2,1,6,4,3,8,7]=>[2,5,4,6,1,3,8,7]
[5,2,8,3,4,7,1,6]=>[7,5,8,3,2,1,4,6]
[3,8,4,1,7,5,2,6]=>[4,8,3,5,7,1,2,6]
[4,7,6,5,1,2,3,8]=>[5,1,2,4,6,7,3,8]
[6,2,7,4,8,3,1,5]=>[3,8,6,7,2,1,4,5]
[6,4,5,2,8,1,3,7]=>[8,5,1,6,4,2,3,7]
[2,8,5,1,4,3,7,6]=>[5,2,4,1,8,7,3,6]
[4,8,6,5,2,1,7,3]=>[2,5,6,4,8,7,1,3]
[5,6,4,8,7,2,3,1]=>[3,7,2,6,5,4,8,1]
[1,6,8,2,5,7,3,4]=>[1,8,7,3,2,6,5,4]
[1,5,4,2,7,6,8,3]=>[1,4,5,8,3,7,6,2]
[8,5,2,3,7,6,1,4]=>[6,5,1,2,7,8,3,4]
[6,8,2,7,5,1,4,3]=>[5,7,4,2,8,6,1,3]
[8,3,4,5,6,1,7,2]=>[6,7,8,3,4,5,1,2]
[7,4,2,5,6,8,1,3]=>[8,4,1,7,2,5,6,3]
[5,3,6,4,7,2,1,8]=>[2,7,5,6,3,4,1,8]
[4,2,6,5,7,3,1,8]=>[3,7,4,1,6,5,2,8]
[5,4,6,2,7,3,1,8]=>[3,7,6,5,4,1,2,8]
[3,2,6,5,8,4,1,7]=>[4,3,2,8,6,5,1,7]
[3,2,6,5,8,7,1,4]=>[7,3,2,1,6,5,8,4]
[4,2,6,5,8,7,1,3]=>[7,4,1,2,6,5,8,3]
[5,2,6,4,8,7,1,3]=>[7,5,1,6,2,4,8,3]
[5,4,7,6,8,2,1,3]=>[2,8,1,5,4,7,6,3]
[6,4,7,5,8,3,1,2]=>[3,1,8,6,7,4,5,2]
[4,2,7,5,8,6,1,3]=>[6,4,1,2,8,7,3,5]
[3,2,7,5,8,4,1,6]=>[4,3,2,8,7,1,5,6]
[4,3,7,2,8,5,1,6]=>[5,8,4,3,7,2,1,6]
[4,3,6,2,8,5,1,7]=>[5,8,4,3,6,1,2,7]
[4,3,7,6,8,5,1,2]=>[5,1,4,3,8,7,6,2]
[5,3,7,6,8,2,1,4]=>[2,8,5,1,3,7,6,4]
[5,3,7,2,8,6,1,4]=>[6,8,5,2,3,7,1,4]
[3,2,6,4,8,7,1,5]=>[7,3,2,6,1,4,8,5]
[4,2,7,3,8,6,1,5]=>[6,4,8,2,3,7,1,5]
[5,2,7,6,8,3,1,4]=>[3,8,5,2,1,7,6,4]
[3,2,7,6,8,4,1,5]=>[4,3,2,8,1,7,6,5]
[3,2,7,6,8,5,1,4]=>[5,3,2,1,8,7,6,4]
[6,2,7,5,8,4,1,3]=>[4,8,2,6,7,1,5,3]
[4,8,1,7,3,2,5,6]=>[8,3,7,4,2,5,1,6]
[3,7,4,8,2,1,5,6]=>[2,8,3,7,1,5,4,6]
[3,7,8,2,5,4,6,1]=>[6,8,3,5,2,4,7,1]
[4,7,5,8,3,2,6,1]=>[6,3,8,4,7,2,5,1]
[6,7,1,3,2,5,8,4]=>[7,3,1,8,2,6,5,4]
[8,7,6,4,1,5,3,2]=>[4,3,6,5,2,7,8,1]
[3,8,5,2,6,4,7,1]=>[7,5,3,8,6,4,2,1]
[7,2,5,3,4,8,1,6]=>[8,7,5,3,2,1,4,6]
[7,4,8,3,5,1,6,2]=>[5,6,8,7,3,1,4,2]
[5,4,6,8,7,1,2,3]=>[7,1,2,5,4,6,8,3]
[6,4,7,8,5,1,2,3]=>[5,1,2,8,6,3,7,4]
[4,2,5,3,7,8,6,1]=>[6,4,5,2,3,8,7,1]
[5,3,6,2,4,1,8,7]=>[4,6,5,2,3,1,8,7]
[7,8,6,2,3,5,4,1]=>[4,5,1,6,3,8,7,2]
[5,8,2,6,3,7,4,1]=>[4,7,8,6,5,3,1,2]
[4,8,2,3,7,5,6,1]=>[6,8,2,4,7,5,3,1]
[7,5,6,2,3,8,4,1]=>[4,8,1,6,7,5,3,2]
[2,7,5,6,4,3,8,1]=>[8,2,4,6,7,5,3,1]
[2,8,4,3,7,5,6,1]=>[6,2,4,8,7,5,3,1]
[3,8,5,7,6,4,2,1]=>[2,4,3,6,7,8,1,5]
[7,8,6,3,5,4,2,1]=>[2,4,5,6,1,8,7,3]
[2,7,6,3,8,5,4,1]=>[4,2,5,8,6,7,3,1]
[7,4,2,5,6,3,8,1]=>[8,4,7,6,3,5,2,1]
[6,2,7,5,3,8,4,1]=>[4,8,6,5,7,3,1,2]
[2,4,8,3,7,5,6,1]=>[6,2,8,4,7,5,3,1]
[4,8,3,7,5,6,2,1]=>[2,6,8,4,7,5,3,1]
[6,2,5,8,3,7,4,1]=>[4,7,6,8,3,5,1,2]
[4,7,3,8,2,5,6,1]=>[6,8,7,4,2,5,3,1]
[8,2,5,6,3,7,4,1]=>[4,7,8,6,3,5,1,2]
[4,5,3,7,1,2,6,8]=>[7,1,5,4,3,2,6,8]
[6,4,7,3,1,2,5,8]=>[3,1,7,6,2,4,5,8]
[6,8,4,1,3,5,2,7]=>[4,8,2,5,3,6,1,7]
[8,5,3,6,1,4,2,7]=>[6,4,5,1,8,3,2,7]
[5,6,3,7,4,1,2,8]=>[4,1,7,6,5,2,3,8]
[5,2,6,7,4,1,3,8]=>[4,7,2,5,1,6,3,8]
[5,6,2,7,4,1,3,8]=>[4,7,2,6,5,1,3,8]
[8,5,6,4,1,3,2,7]=>[4,3,1,6,8,5,2,7]
[7,8,5,1,4,3,2,6]=>[5,3,4,1,8,2,7,6]
[6,7,2,8,4,3,1,5]=>[3,4,8,7,1,6,2,5]
[6,7,3,2,8,4,1,5]=>[4,3,8,7,2,6,1,5]
[8,5,3,6,2,1,4,7]=>[2,6,5,1,8,3,4,7]
[4,7,8,3,1,5,2,6]=>[3,8,5,4,2,1,7,6]
[4,5,8,1,3,2,6,7]=>[8,3,1,4,5,2,6,7]
[4,7,8,1,6,3,2,5]=>[8,3,6,4,2,1,7,5]
[5,7,8,1,2,6,4,3]=>[8,1,4,6,5,2,7,3]
[6,5,4,7,2,8,1,3]=>[8,7,1,5,6,4,2,3]
[6,2,7,3,5,8,1,4]=>[8,6,7,1,3,2,5,4]
[6,2,7,5,4,8,1,3]=>[8,6,1,5,7,2,4,3]
[4,7,1,3,8,6,5,2]=>[7,5,1,4,6,8,3,2]
[2,6,7,4,3,8,1,5]=>[8,2,4,7,1,6,3,5]
[3,7,6,4,5,8,1,2]=>[8,1,3,6,4,7,5,2]
[3,7,6,5,4,8,1,2]=>[8,1,3,5,6,7,4,2]
[5,7,2,8,3,4,6,1]=>[6,7,8,3,5,4,2,1]
[3,7,2,8,5,6,4,1]=>[4,6,3,7,8,5,1,2]
[3,1,5,8,4,7,6,2]=>[3,6,1,7,5,8,2,4]
[1,5,6,8,4,3,7,2]=>[1,7,4,8,5,6,3,2]
[3,1,5,8,6,4,7,2]=>[3,7,1,6,5,8,4,2]
[4,7,2,8,5,3,6,1]=>[6,7,5,4,8,3,2,1]
[2,3,8,6,4,5,7,1]=>[7,2,3,6,4,8,5,1]
[2,3,8,6,4,7,5,1]=>[5,2,3,7,6,8,1,4]
[4,6,1,7,8,3,2,5]=>[6,3,8,4,2,1,7,5]
[3,6,2,8,7,4,5,1]=>[5,6,3,7,4,2,8,1]
[2,5,6,1,8,7,3,4]=>[6,2,7,3,5,1,8,4]
[3,6,2,8,4,7,5,1]=>[5,7,3,6,8,4,1,2]
[2,3,8,6,7,4,5,1]=>[5,2,3,7,4,8,6,1]
[2,3,8,7,4,6,5,1]=>[5,2,3,6,7,1,8,4]
[2,3,8,5,7,4,6,1]=>[6,2,3,7,8,4,5,1]
[3,5,2,8,7,4,6,1]=>[6,5,3,7,2,4,8,1]
[1,5,6,8,7,3,4,2]=>[1,4,7,3,5,6,8,2]
[2,3,8,6,7,5,4,1]=>[4,2,3,5,7,8,6,1]
[2,3,8,7,6,4,5,1]=>[5,2,3,6,4,7,8,1]
[8,5,6,3,1,4,2,7]=>[3,6,4,2,8,5,1,7]
[8,5,6,1,3,4,2,7]=>[6,4,1,3,8,5,2,7]
[8,1,5,6,3,4,2,7]=>[8,4,6,3,1,5,2,7]
[8,1,5,3,6,4,2,7]=>[8,4,6,5,1,2,3,7]
[8,3,5,6,4,1,2,7]=>[4,1,6,8,2,5,3,7]
[8,3,5,1,6,4,2,7]=>[5,4,6,8,2,1,3,7]
[1,3,8,5,6,2,4,7]=>[1,6,3,2,8,5,4,7]
[3,8,5,6,1,4,2,7]=>[6,4,3,1,8,5,2,7]
[3,8,5,6,4,1,2,7]=>[4,1,3,6,8,5,2,7]
[5,7,8,3,4,6,2,1]=>[2,6,8,3,5,4,7,1]
[3,5,8,6,4,1,2,7]=>[4,1,3,6,5,8,2,7]
[3,5,1,8,6,4,2,7]=>[5,4,3,6,1,8,2,7]
[1,3,5,8,6,2,4,7]=>[1,6,3,2,5,8,4,7]
[7,5,3,8,6,4,2,1]=>[2,4,6,5,8,7,3,1]
[1,5,3,8,6,4,2,7]=>[1,4,6,5,2,8,3,7]
[5,1,3,8,6,4,2,7]=>[5,4,1,6,3,8,2,7]
[5,3,8,1,6,4,2,7]=>[8,4,6,5,2,1,3,7]
[5,3,8,6,4,1,2,7]=>[4,1,6,5,2,8,3,7]
[5,8,3,1,6,4,2,7]=>[3,8,4,6,5,2,1,7]
[5,8,1,3,6,4,2,7]=>[8,4,1,6,5,3,2,7]
[5,1,8,3,6,4,2,7]=>[5,4,6,8,1,2,3,7]
[1,5,8,3,6,4,2,7]=>[1,4,6,8,5,2,3,7]
[7,5,8,3,6,4,2,1]=>[2,4,6,8,7,1,5,3]
[1,5,8,6,3,4,2,7]=>[1,4,6,3,5,8,2,7]
[1,7,8,2,5,6,4,3]=>[1,8,4,6,2,5,7,3]
[7,1,8,3,6,4,2,5]=>[7,4,6,8,3,2,1,5]
[7,8,3,6,4,1,2,5]=>[4,1,6,8,3,2,7,5]
[7,1,3,8,6,4,2,5]=>[7,4,1,6,2,8,3,5]
[3,7,5,8,2,6,4,1]=>[4,6,3,8,7,1,5,2]
[3,1,7,8,4,2,6,5]=>[3,4,1,8,6,2,7,5]
[5,7,8,1,4,6,2,3]=>[8,6,2,1,5,4,7,3]
[5,7,8,4,6,1,2,3]=>[6,1,2,8,5,4,7,3]
[1,3,7,8,4,2,6,5]=>[1,4,3,8,6,2,7,5]
[6,1,2,5,3,4,7,8]=>[6,1,5,3,2,4,7,8]
[5,1,2,4,6,3,7,8]=>[5,1,6,2,4,3,7,8]
[7,1,6,5,2,3,4,8]=>[7,5,2,3,6,1,4,8]
[6,1,2,5,4,3,7,8]=>[6,1,4,5,2,3,7,8]
[5,1,4,6,7,3,2,8]=>[5,3,7,1,4,6,2,8]
[1,4,6,5,7,2,3,8]=>[1,7,2,4,6,5,3,8]
[6,7,3,5,4,1,2,8]=>[4,1,5,7,2,6,3,8]
[8,1,6,7,3,5,4,2]=>[8,4,5,7,2,1,6,3]
[7,2,4,1,6,5,3,8]=>[4,7,5,2,6,1,3,8]
[4,2,5,1,3,7,6,8]=>[5,4,1,2,3,7,6,8]
[1,3,2,6,8,4,7,5]=>[1,3,2,8,7,6,4,5]
[4,2,6,5,7,1,3,8]=>[7,4,1,2,6,5,3,8]
[6,2,5,7,3,1,4,8]=>[3,7,6,2,1,5,4,8]
[8,2,5,6,3,4,7,1]=>[7,8,6,3,2,5,4,1]
[8,2,5,4,1,6,7,3]=>[4,5,8,7,3,2,6,1]
[2,8,5,1,3,6,7,4]=>[5,2,1,8,7,4,6,3]
[8,7,4,3,5,1,6,2]=>[5,6,4,7,3,1,8,2]
[8,7,3,5,2,6,4,1]=>[4,6,5,7,1,3,8,2]
[3,8,5,6,1,2,7,4]=>[6,1,3,7,8,5,2,4]
[8,1,7,5,4,2,6,3]=>[8,4,5,7,6,2,1,3]
[1,2,6,4,7,3,5,8]=>[1,2,7,6,3,4,5,8]
[6,3,1,7,2,4,5,8]=>[3,6,7,1,4,2,5,8]
[1,6,4,3,7,2,5,8]=>[1,7,4,6,2,3,5,8]
[2,4,5,7,1,6,3,8]=>[7,2,6,4,5,1,3,8]
[5,7,8,3,2,6,1,4]=>[6,3,8,1,5,2,7,4]
[5,6,8,3,2,4,7,1]=>[7,3,8,2,5,6,4,1]
[4,8,5,2,3,7,6,1]=>[6,5,1,4,7,8,3,2]
[6,8,4,3,7,2,5,1]=>[5,7,4,8,2,6,3,1]
[6,7,4,3,8,2,1,5]=>[2,8,4,7,1,6,3,5]
[7,4,5,1,3,8,2,6]=>[5,8,1,7,4,2,3,6]
[8,4,5,1,3,7,6,2]=>[5,6,1,7,2,8,3,4]
[8,6,4,3,7,1,5,2]=>[7,5,4,6,1,8,3,2]
[8,6,5,7,3,1,4,2]=>[3,7,4,2,6,8,5,1]
[8,5,6,7,1,3,4,2]=>[7,4,1,3,8,5,6,2]
[8,3,1,6,7,4,5,2]=>[3,8,5,7,4,2,6,1]
[7,5,6,8,1,3,2,4]=>[8,3,1,2,7,5,6,4]
[6,8,5,7,3,2,4,1]=>[4,3,7,2,8,6,5,1]
[4,7,8,2,6,5,1,3]=>[5,6,2,4,8,1,7,3]
[6,8,7,5,4,2,3,1]=>[3,4,2,5,7,6,8,1]
[7,3,1,8,6,5,2,4]=>[3,7,5,1,6,8,2,4]
[7,1,3,2,4,6,5,8]=>[7,3,1,2,6,4,5,8]
[7,2,3,5,1,6,8,4]=>[5,7,2,8,3,1,6,4]
[7,2,3,1,4,6,8,5]=>[3,7,2,1,8,4,6,5]
[6,5,2,1,4,8,3,7]=>[2,5,6,3,8,4,1,7]
[2,7,3,1,4,8,6,5]=>[3,2,7,1,6,8,4,5]
[1,4,6,3,7,8,5,2]=>[1,5,8,4,6,2,7,3]
[3,1,6,5,7,8,4,2]=>[3,4,1,8,6,5,7,2]
[1,2,6,5,8,4,7,3]=>[1,2,7,8,6,5,4,3]
[4,3,1,5,8,7,6,2]=>[3,4,6,2,5,7,8,1]
[4,7,6,8,1,3,5,2]=>[8,5,1,4,3,7,6,2]
[3,7,2,5,1,6,8,4]=>[5,7,3,8,2,1,6,4]
[4,7,1,3,2,5,6,8]=>[7,3,1,4,2,5,6,8]
[4,1,6,7,3,2,8,5]=>[4,3,7,1,8,6,2,5]
[1,7,2,5,6,8,4,3]=>[1,7,4,8,2,5,6,3]
[3,2,1,5,8,4,7,6]=>[2,3,1,8,5,7,4,6]
[4,7,6,8,3,1,5,2]=>[3,8,5,4,2,7,6,1]
[2,1,6,5,8,4,3,7]=>[2,1,4,8,6,5,3,7]
[7,4,6,3,5,1,8,2]=>[5,8,6,7,3,4,1,2]
[2,5,4,7,3,1,6,8]=>[3,2,7,5,4,1,6,8]
[5,4,8,6,1,7,3,2]=>[6,3,8,5,4,7,2,1]
[7,4,1,8,5,6,3,2]=>[4,3,7,6,8,5,2,1]
[3,6,4,5,7,1,8,2]=>[7,8,3,6,4,5,1,2]
[3,5,4,7,1,8,6,2]=>[7,6,3,5,4,8,1,2]
[3,8,2,4,5,7,1,6]=>[7,8,3,2,4,1,5,6]
[6,3,2,4,1,8,5,7]=>[4,3,6,2,8,1,5,7]
[7,1,5,4,2,3,6,8]=>[7,4,2,5,1,3,6,8]
[7,1,3,6,4,5,2,8]=>[7,5,1,6,4,3,2,8]
[6,4,5,1,3,8,2,7]=>[5,8,1,6,4,3,2,7]
[6,1,3,8,4,5,2,7]=>[6,5,1,8,4,3,2,7]
[7,4,5,1,3,6,2,8]=>[5,6,1,7,4,3,2,8]
[7,3,6,4,5,1,2,8]=>[5,1,7,6,4,3,2,8]
[2,1,8,7,3,6,5,4]=>[2,1,7,5,6,3,8,4]
[5,8,6,3,1,2,7,4]=>[3,1,6,8,5,7,4,2]
[5,8,2,7,1,3,6,4]=>[7,8,1,6,5,3,2,4]
[2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8]
[4,1,5,7,6,3,2,8]=>[4,3,6,1,5,7,2,8]
[6,3,4,2,1,8,7,5]=>[2,4,6,3,7,1,8,5]
[4,5,1,7,6,3,2,8]=>[5,3,6,4,1,7,2,8]
[2,5,4,1,7,8,3,6]=>[4,2,5,8,3,1,7,6]
[3,5,4,7,8,2,1,6]=>[2,8,3,5,4,1,7,6]
[7,3,6,1,4,5,2,8]=>[6,5,7,1,4,3,2,8]
[7,1,4,5,2,8,3,6]=>[7,5,8,1,4,3,2,6]
[5,4,2,1,8,7,3,6]=>[2,4,5,7,3,1,8,6]
[4,8,6,3,1,5,2,7]=>[3,6,5,4,2,8,1,7]
[6,2,1,5,4,3,8,7]=>[2,6,4,5,1,3,8,7]
[5,1,4,8,3,6,2,7]=>[5,6,8,1,4,3,2,7]
[6,1,4,5,3,8,2,7]=>[6,8,5,1,4,3,2,7]
[1,7,2,6,8,4,5,3]=>[1,7,5,8,4,2,6,3]
[1,4,2,6,7,8,5,3]=>[1,4,5,2,8,6,7,3]
[1,4,2,5,6,8,7,3]=>[1,4,7,2,5,6,8,3]
[1,4,6,5,7,2,8,3]=>[1,7,8,4,6,5,2,3]
[2,5,3,6,7,8,4,1]=>[4,2,8,5,1,6,7,3]
[6,4,2,7,8,3,5,1]=>[5,4,6,8,2,3,7,1]
[5,3,1,6,8,7,2,4]=>[3,5,7,1,2,6,8,4]
[6,2,1,7,4,3,5,8]=>[2,6,4,7,3,1,5,8]
[1,8,6,2,4,3,5,7]=>[1,6,4,2,3,8,5,7]
[8,3,1,4,2,6,7,5]=>[3,8,4,2,7,1,6,5]
[7,4,2,5,3,8,6,1]=>[6,4,8,5,1,7,2,3]
[6,5,8,3,1,7,2,4]=>[3,8,7,1,6,5,2,4]
[3,2,4,5,7,8,1,6]=>[8,3,2,4,5,1,7,6]
[2,3,4,7,5,8,6,1]=>[6,2,3,4,8,7,1,5]
[3,6,2,4,8,5,1,7]=>[5,8,3,1,6,4,2,7]
[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]
[8,1,3,2,7,4,5,6]=>[8,3,1,7,4,5,2,6]
[6,5,2,8,7,4,3,1]=>[3,4,7,5,6,2,8,1]
[7,8,5,4,2,1,6,3]=>[2,4,5,8,6,1,7,3]
[7,5,2,8,6,4,3,1]=>[3,4,6,5,8,7,1,2]
[7,8,3,2,6,5,4,1]=>[4,3,5,6,8,2,7,1]
[6,5,2,8,1,4,7,3]=>[8,5,6,1,7,3,4,2]
[8,5,2,6,4,1,7,3]=>[4,6,5,8,7,1,2,3]
[5,1,8,6,4,3,7,2]=>[5,7,4,6,1,8,3,2]
[5,8,6,1,3,2,7,4]=>[6,3,1,8,5,7,4,2]
[1,7,6,3,8,2,5,4]=>[1,8,6,5,2,7,3,4]
[8,2,6,3,7,5,1,4]=>[5,7,8,2,6,3,1,4]
[8,2,6,7,3,4,1,5]=>[4,8,7,3,1,2,6,5]
[7,2,6,8,3,1,4,5]=>[3,8,7,2,4,1,6,5]
[6,1,3,7,8,4,5,2]=>[6,5,1,8,4,3,7,2]
[6,8,7,4,1,3,2,5]=>[4,3,1,7,2,6,8,5]
[8,6,7,2,5,3,1,4]=>[3,5,7,2,1,8,6,4]
[1,6,2,7,8,4,5,3]=>[1,6,5,8,4,2,7,3]
[8,6,2,7,5,4,1,3]=>[4,5,1,7,6,8,2,3]
[1,6,8,2,7,5,3,4]=>[1,8,5,3,7,6,2,4]
[7,6,3,2,8,1,5,4]=>[8,3,6,5,1,7,2,4]
[5,7,3,1,2,8,6,4]=>[3,1,7,6,5,8,2,4]
[5,1,7,4,3,8,6,2]=>[5,6,4,8,1,7,2,3]
[6,7,1,4,8,2,5,3]=>[7,8,5,1,2,6,4,3]
[8,6,3,7,2,4,1,5]=>[4,7,6,2,1,8,3,5]
[1,7,8,6,4,2,3,5]=>[1,4,2,6,3,8,7,5]
[7,2,8,6,4,1,3,5]=>[4,6,1,8,3,7,2,5]
[7,4,2,6,5,3,1,8]=>[3,5,4,6,7,2,1,8]
[1,5,3,7,4,2,6,8]=>[1,4,7,5,2,3,6,8]
[1,7,6,4,3,2,8,5]=>[1,3,4,6,7,8,5,2]
[1,7,6,4,3,2,5,8]=>[1,3,4,6,2,7,5,8]
[7,4,3,6,2,5,1,8]=>[5,6,4,7,2,3,1,8]
[1,7,6,3,4,2,5,8]=>[1,4,6,3,2,7,5,8]
[1,2,7,4,3,8,6,5]=>[1,2,4,7,6,8,3,5]
[1,7,6,3,5,2,4,8]=>[1,5,6,2,3,7,4,8]
[1,5,4,7,3,2,8,6]=>[1,3,7,5,4,8,2,6]
[1,7,6,3,5,2,8,4]=>[1,5,6,7,4,8,2,3]
[1,2,7,4,3,6,5,8]=>[1,2,4,7,6,3,5,8]
[1,5,4,2,3,8,7,6]=>[1,4,2,5,3,7,8,6]
[1,7,6,4,5,2,3,8]=>[1,5,2,6,4,7,3,8]
[1,5,3,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]
[1,5,3,7,6,2,4,8]=>[1,6,5,2,3,7,4,8]
[1,2,7,5,3,6,8,4]=>[1,2,5,7,8,4,6,3]
[1,2,7,6,3,5,4,8]=>[1,2,6,5,3,7,4,8]
[1,5,4,2,3,7,8,6]=>[1,4,2,5,3,8,7,6]
[1,2,7,6,3,5,8,4]=>[1,2,6,7,4,8,5,3]
[8,1,3,2,6,5,7,4]=>[8,3,1,7,6,2,5,4]
[4,3,7,2,8,1,6,5]=>[8,7,4,3,6,1,2,5]
[3,2,7,5,6,1,8,4]=>[6,3,2,8,7,5,1,4]
[7,5,6,1,3,2,8,4]=>[6,3,1,8,7,5,2,4]
[7,3,4,1,8,2,6,5]=>[4,8,7,3,6,2,1,5]
[7,4,5,1,6,3,8,2]=>[5,8,6,7,4,1,3,2]
[7,5,6,1,4,3,8,2]=>[6,8,4,1,7,5,3,2]
[4,2,7,6,8,3,5,1]=>[5,4,8,2,3,7,6,1]
[3,2,6,4,8,5,7,1]=>[7,3,2,6,8,4,5,1]
[4,2,8,3,6,5,7,1]=>[7,4,8,2,6,3,5,1]
[8,1,4,3,5,2,7,6]=>[8,5,4,1,3,7,2,6]
[6,2,8,5,7,1,4,3]=>[7,6,4,1,8,2,5,3]
[6,4,8,5,7,1,3,2]=>[7,3,1,6,8,4,5,2]
[5,3,4,1,6,2,8,7]=>[4,6,5,3,1,2,8,7]
[6,5,7,3,4,1,8,2]=>[4,8,7,3,6,5,1,2]
[5,2,7,6,8,1,4,3]=>[8,5,4,1,2,7,6,3]
[7,5,6,1,8,2,4,3]=>[6,8,4,2,7,5,1,3]
[7,3,6,1,8,2,5,4]=>[6,8,7,5,2,3,1,4]
[7,2,8,1,6,3,5,4]=>[8,7,6,5,3,1,2,4]
[5,8,4,1,2,6,3,7]=>[4,1,8,6,5,3,2,7]
[6,4,7,1,2,8,3,5]=>[7,1,8,6,3,4,2,5]
[3,8,1,7,4,2,5,6]=>[8,4,3,7,2,5,1,6]
[3,7,4,8,2,5,6,1]=>[6,8,3,7,2,5,4,1]
[8,3,4,5,1,6,2,7]=>[5,6,8,3,4,1,2,7]
[8,4,1,2,3,6,5,7]=>[4,1,2,8,6,3,5,7]
[8,3,6,5,4,1,2,7]=>[4,1,5,6,8,3,2,7]
[8,2,1,5,3,4,6,7]=>[2,8,5,3,1,4,6,7]
[8,2,5,6,4,1,3,7]=>[4,6,2,8,1,5,3,7]
[2,7,8,5,4,3,6,1]=>[6,2,4,5,8,3,7,1]
[3,8,2,6,4,7,5,1]=>[5,7,3,8,6,4,1,2]
[1,2,5,7,4,8,3,6]=>[1,2,8,7,5,3,4,6]
[4,3,7,5,8,1,2,6]=>[8,1,4,3,7,2,5,6]
[4,7,1,5,3,6,8,2]=>[7,8,5,4,1,3,6,2]
[1,7,5,8,4,6,3,2]=>[1,3,6,8,7,4,5,2]
[7,3,6,8,4,1,5,2]=>[4,8,5,7,2,1,6,3]
[8,3,6,7,4,5,2,1]=>[2,5,8,7,4,3,6,1]
[6,8,5,3,1,4,7,2]=>[3,5,8,1,7,6,4,2]
[1,8,3,4,7,5,6,2]=>[1,6,8,3,7,5,4,2]
[6,1,4,7,3,5,8,2]=>[6,8,7,1,3,4,5,2]
[5,8,6,2,7,3,4,1]=>[4,6,8,2,5,7,3,1]
[6,5,8,3,2,7,4,1]=>[4,3,7,8,6,5,1,2]
[6,5,7,1,2,8,3,4]=>[7,1,8,3,6,5,2,4]
[7,1,4,2,3,8,6,5]=>[7,4,2,1,6,8,3,5]
[2,3,5,4,8,1,7,6]=>[8,2,3,5,4,7,1,6]
[6,2,4,7,8,3,5,1]=>[5,6,8,2,3,4,7,1]
[1,7,2,6,5,3,8,4]=>[1,7,5,6,8,2,4,3]
[4,2,6,7,1,8,5,3]=>[7,4,5,2,8,6,1,3]
[2,7,1,6,3,8,5,4]=>[7,2,6,5,8,1,3,4]
[3,7,5,6,8,1,2,4]=>[8,1,3,2,7,5,6,4]
[8,1,2,5,3,7,6,4]=>[8,1,5,6,2,7,3,4]
[1,6,2,4,5,7,8,3]=>[1,6,8,2,4,5,7,3]
[8,6,5,2,4,1,7,3]=>[4,5,6,2,8,7,1,3]
[7,8,5,1,2,4,6,3]=>[5,1,8,3,6,4,7,2]
[7,1,6,4,2,5,8,3]=>[7,4,6,8,3,1,5,2]
[1,7,6,5,3,4,8,2]=>[1,8,5,3,6,7,4,2]
[8,1,6,4,5,3,7,2]=>[8,7,5,6,4,1,3,2]
[8,6,7,5,1,3,4,2]=>[5,4,1,3,7,8,6,2]
[7,4,8,5,3,6,2,1]=>[2,6,5,8,7,4,3,1]
[6,2,5,7,4,3,1,8]=>[3,4,7,6,2,5,1,8]
[6,2,5,8,1,7,4,3]=>[8,6,4,7,2,5,1,3]
[6,7,5,2,4,3,1,8]=>[3,4,5,1,7,6,2,8]
[4,3,8,6,7,5,2,1]=>[2,5,4,3,7,8,6,1]
[3,6,5,2,4,1,7,8]=>[4,5,3,2,6,1,7,8]
[8,6,5,2,4,3,1,7]=>[3,4,5,1,6,8,2,7]
[6,8,5,2,4,3,1,7]=>[3,4,5,1,8,6,2,7]
[6,2,5,8,4,3,1,7]=>[3,4,8,6,2,5,1,7]
[4,7,2,5,6,1,8,3]=>[6,7,8,4,2,5,1,3]
[3,8,1,6,5,2,4,7]=>[8,5,3,2,6,1,4,7]
[3,4,2,8,6,7,1,5]=>[7,4,3,2,1,8,6,5]
[3,7,1,6,2,5,8,4]=>[7,6,3,8,2,1,5,4]
[3,8,4,1,6,2,5,7]=>[4,8,3,6,1,2,5,7]
[3,8,5,2,4,1,6,7]=>[4,5,3,2,8,1,6,7]
[3,4,2,7,6,8,1,5]=>[8,4,3,2,1,7,6,5]
[7,5,2,4,3,1,8,6]=>[3,4,5,1,7,8,2,6]
[3,8,7,5,2,4,1,6]=>[4,5,3,2,7,1,8,6]
[3,8,1,6,2,5,7,4]=>[8,6,3,7,2,1,5,4]
[3,7,4,1,6,2,5,8]=>[4,7,3,6,1,2,5,8]
[3,6,2,5,1,8,7,4]=>[5,6,3,7,2,1,8,4]
[3,6,2,5,1,7,4,8]=>[5,6,3,7,2,1,4,8]
[7,6,1,8,5,2,4,3]=>[6,5,4,1,7,8,2,3]
[4,6,7,2,5,1,8,3]=>[5,7,8,4,2,6,1,3]
[3,6,2,5,1,7,8,4]=>[5,6,3,8,2,1,7,4]
[3,4,2,7,6,1,5,8]=>[6,4,3,2,1,7,5,8]
[3,4,2,8,1,5,7,6]=>[8,4,3,2,1,7,5,6]
[3,4,2,7,8,1,5,6]=>[8,4,3,2,1,5,7,6]
[3,4,2,6,1,5,7,8]=>[6,4,3,2,1,5,7,8]
[3,6,2,5,1,8,4,7]=>[5,6,3,8,2,1,4,7]
[8,3,4,7,2,5,1,6]=>[5,7,8,3,2,1,4,6]
[3,8,5,2,4,7,1,6]=>[7,5,3,2,8,1,4,6]
[3,4,2,7,1,5,8,6]=>[7,4,3,2,1,8,5,6]
[3,4,2,8,7,1,5,6]=>[7,4,3,2,1,5,8,6]
[7,3,4,6,5,8,1,2]=>[8,1,7,3,6,4,5,2]
[7,3,6,8,1,4,5,2]=>[8,5,7,1,4,3,6,2]
[6,3,4,1,7,5,2,8]=>[4,5,7,2,6,1,3,8]
[3,4,6,7,2,1,8,5]=>[2,7,3,4,8,6,1,5]
[5,7,1,8,6,4,3,2]=>[7,3,4,6,5,8,1,2]
[5,1,8,6,7,2,4,3]=>[5,7,4,2,1,8,6,3]
[6,1,8,5,2,4,7,3]=>[6,5,8,3,7,1,4,2]
[7,1,4,2,5,8,6,3]=>[7,4,6,1,2,8,5,3]
[7,8,5,1,2,4,3,6]=>[5,1,4,2,8,3,7,6]
[2,5,3,1,4,8,6,7]=>[3,2,5,1,4,8,6,7]
[3,6,1,2,5,4,8,7]=>[6,1,3,5,2,4,8,7]
[5,8,1,4,3,6,7,2]=>[8,7,4,1,5,3,6,2]
[1,7,3,4,6,8,2,5]=>[1,8,7,3,2,4,6,5]
[7,2,3,8,6,4,1,5]=>[4,6,2,8,1,7,3,5]
[5,2,3,8,7,4,1,6]=>[4,7,1,5,3,2,8,6]
[6,5,8,2,1,4,3,7]=>[2,8,4,1,6,5,3,7]
[5,7,6,3,1,2,4,8]=>[3,1,6,2,5,7,4,8]
[1,4,3,7,2,6,8,5]=>[1,7,4,3,8,2,6,5]
[5,8,6,3,2,4,1,7]=>[4,3,6,2,5,8,1,7]
[4,6,2,7,8,1,3,5]=>[8,6,1,4,3,2,7,5]
[6,2,3,7,1,4,5,8]=>[7,6,2,1,4,3,5,8]
[4,6,7,8,2,1,3,5]=>[2,8,1,4,3,6,7,5]
[8,6,3,2,1,7,5,4]=>[2,3,6,5,8,7,4,1]
[5,3,4,1,7,8,2,6]=>[4,8,5,3,1,2,7,6]
[4,8,6,1,2,3,5,7]=>[6,1,2,4,3,8,5,7]
[6,7,3,5,8,4,1,2]=>[4,1,8,7,2,6,5,3]
[7,5,8,2,3,1,6,4]=>[3,8,2,6,7,1,5,4]
[6,5,1,4,8,2,3,7]=>[5,6,1,2,8,4,3,7]
[6,8,1,4,3,2,5,7]=>[8,3,4,1,2,6,5,7]
[6,1,3,4,2,5,8,7]=>[6,4,1,3,2,5,8,7]
[5,1,3,6,2,4,8,7]=>[5,6,1,2,3,4,8,7]
[2,6,1,3,5,7,8,4]=>[6,2,1,8,3,5,7,4]
[7,8,4,2,3,1,6,5]=>[3,4,2,8,6,1,7,5]
[8,6,3,4,2,1,7,5]=>[2,4,6,3,8,7,5,1]
[1,5,7,6,8,2,4,3]=>[1,8,4,2,5,7,6,3]
[3,7,1,8,5,2,6,4]=>[7,5,3,8,6,4,1,2]
[5,7,1,3,8,4,2,6]=>[7,4,1,8,5,2,3,6]
[2,6,1,4,3,7,8,5]=>[6,2,4,1,8,3,7,5]
[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]
[3,8,5,7,6,4,1,2]=>[4,1,3,6,7,8,2,5]
[1,8,5,7,6,3,4,2]=>[1,4,6,3,7,8,2,5]
[5,8,1,7,6,3,4,2]=>[8,4,6,3,5,7,1,2]
[1,7,6,3,8,5,4,2]=>[1,4,5,8,6,7,3,2]
[5,3,7,6,1,8,4,2]=>[6,4,7,5,2,8,3,1]
[5,1,7,6,3,8,4,2]=>[5,4,8,6,1,7,2,3]
[1,5,6,3,7,8,4,2]=>[1,4,8,6,5,2,7,3]
[1,5,7,6,3,8,4,2]=>[1,4,8,6,5,7,2,3]
[7,3,5,6,1,8,4,2]=>[6,4,8,7,2,5,1,3]
[7,3,6,1,5,8,4,2]=>[6,4,8,7,1,2,5,3]
[1,6,3,7,8,5,4,2]=>[1,4,5,8,6,3,7,2]
[1,7,8,6,3,5,4,2]=>[1,4,5,6,2,8,7,3]
[3,6,1,7,5,8,4,2]=>[6,4,3,8,7,1,5,2]
[3,7,5,6,1,8,4,2]=>[6,4,3,8,7,5,1,2]
[7,4,5,1,8,3,2,6]=>[5,3,8,7,4,2,1,6]
[7,2,1,8,5,4,3,6]=>[2,7,4,5,8,3,1,6]
[2,7,3,4,6,8,1,5]=>[8,2,7,3,1,4,6,5]
[5,6,2,8,4,7,3,1]=>[3,7,6,8,5,1,4,2]
[5,6,8,2,3,7,4,1]=>[4,7,1,8,5,6,3,2]
[3,1,7,6,8,5,2,4]=>[3,5,1,2,8,7,6,4]
[2,7,1,8,6,4,3,5]=>[7,2,4,6,3,8,1,5]
[8,4,5,7,1,2,6,3]=>[7,1,6,8,4,2,5,3]
[5,6,8,1,7,3,4,2]=>[8,4,7,3,5,6,1,2]
[8,3,1,5,7,4,6,2]=>[3,8,6,7,2,4,5,1]
[8,1,3,4,7,5,6,2]=>[8,6,1,3,7,5,4,2]
[1,4,5,7,8,6,2,3]=>[1,6,2,4,5,8,7,3]
[2,4,5,8,6,7,3,1]=>[3,2,7,4,5,8,6,1]
[5,7,6,3,4,8,1,2]=>[8,1,6,3,5,7,4,2]
[3,7,5,4,6,1,2,8]=>[6,1,3,5,7,4,2,8]
[5,3,4,7,6,8,1,2]=>[8,1,5,3,4,7,6,2]
[5,3,7,4,6,1,2,8]=>[6,1,5,7,3,4,2,8]
[7,3,5,4,6,1,2,8]=>[6,1,7,5,3,4,2,8]
[7,8,3,5,4,1,2,6]=>[4,1,5,8,2,3,7,6]
[7,3,5,4,1,2,6,8]=>[4,1,5,7,2,3,6,8]
[5,7,6,3,4,1,2,8]=>[4,1,6,3,5,7,2,8]
[3,5,4,1,2,7,6,8]=>[4,1,3,5,2,7,6,8]
[5,7,6,1,3,2,4,8]=>[6,3,1,2,5,7,4,8]
[5,3,4,1,2,7,6,8]=>[4,1,5,3,2,7,6,8]
[7,8,3,1,2,5,4,6]=>[3,1,8,5,2,4,7,6]
[7,8,5,1,3,2,4,6]=>[5,3,1,2,8,4,7,6]
[7,5,6,1,3,2,4,8]=>[6,3,1,2,7,5,4,8]
[7,8,5,1,3,6,2,4]=>[5,8,2,1,6,3,7,4]
[7,8,3,1,5,4,2,6]=>[3,8,4,5,2,1,7,6]
[3,5,4,1,7,6,2,8]=>[4,5,3,6,2,7,1,8]
[3,5,1,4,7,6,2,8]=>[5,6,3,1,4,7,2,8]
[7,3,8,5,1,4,6,2]=>[5,8,6,2,7,4,1,3]
[7,5,1,3,8,6,2,4]=>[5,7,2,1,6,8,3,4]
[7,1,3,8,2,5,4,6]=>[7,8,1,5,2,4,3,6]
[7,5,8,6,1,3,2,4]=>[6,3,1,2,8,7,4,5]
[5,7,6,8,3,1,4,2]=>[3,8,4,2,5,7,6,1]
[3,1,5,4,2,7,6,8]=>[3,4,1,5,2,7,6,8]
[3,1,5,4,7,2,6,8]=>[3,7,1,5,4,2,6,8]
[5,7,6,1,3,8,2,4]=>[6,7,2,1,5,8,3,4]
[5,7,6,3,8,1,4,2]=>[8,4,6,1,5,7,3,2]
[3,1,5,7,4,2,6,8]=>[3,4,1,7,5,2,6,8]
[3,7,5,4,8,6,1,2]=>[6,1,3,5,8,7,2,4]
[5,1,3,7,6,2,4,8]=>[5,6,1,2,3,7,4,8]
[7,1,6,8,2,3,5,4]=>[7,8,2,5,3,1,6,4]
[1,6,3,7,2,4,5,8]=>[1,7,6,2,4,3,5,8]
[3,8,1,4,7,6,2,5]=>[8,6,3,1,2,7,4,5]
[1,7,3,4,5,2,6,8]=>[1,5,7,3,4,2,6,8]
[1,6,7,5,4,2,3,8]=>[1,4,2,5,7,6,3,8]
[4,7,8,5,1,3,2,6]=>[5,3,1,4,8,2,7,6]
[4,2,1,8,7,5,3,6]=>[2,4,5,1,7,3,8,6]
[8,2,5,1,7,4,6,3]=>[5,8,6,7,2,4,1,3]
[5,1,4,8,2,3,6,7]=>[5,8,2,1,4,3,6,7]
[5,3,2,4,8,1,7,6]=>[8,3,5,2,4,7,1,6]
[8,2,5,7,4,1,6,3]=>[4,7,8,6,3,2,5,1]
[8,7,5,1,6,3,4,2]=>[5,4,7,1,6,3,8,2]
[7,4,1,3,6,5,8,2]=>[4,7,2,8,6,3,5,1]
[4,2,8,5,3,1,6,7]=>[3,5,4,1,8,2,6,7]
[6,8,5,3,2,7,1,4]=>[7,3,5,1,8,6,2,4]
[8,3,7,2,6,5,1,4]=>[5,6,7,2,8,3,1,4]
[4,6,2,7,1,3,8,5]=>[7,6,1,4,8,2,3,5]
[7,2,5,3,6,1,8,4]=>[6,7,5,8,2,3,1,4]
[8,2,4,5,6,7,1,3]=>[7,8,1,2,4,5,6,3]
[3,4,6,5,1,8,7,2]=>[5,6,3,4,7,2,8,1]
[3,4,6,5,1,7,2,8]=>[5,6,3,4,7,2,1,8]
[8,7,1,5,3,2,6,4]=>[7,3,5,6,1,2,8,4]
[3,5,1,4,8,6,7,2]=>[5,7,3,1,4,8,6,2]
[3,5,1,4,7,2,8,6]=>[5,7,3,1,4,8,2,6]
[4,5,1,8,7,3,2,6]=>[5,3,7,4,1,2,8,6]
[5,1,4,7,3,2,6,8]=>[5,3,7,1,4,2,6,8]
[5,1,4,8,7,3,2,6]=>[5,3,7,1,4,2,8,6]
[7,2,5,3,1,4,8,6]=>[3,5,7,2,1,8,4,6]
[7,1,4,8,5,3,2,6]=>[7,3,5,1,8,2,4,6]
[3,8,2,6,7,1,5,4]=>[7,8,3,5,1,2,6,4]
[8,3,2,6,7,1,5,4]=>[7,3,8,5,1,2,6,4]
[5,2,8,7,3,1,4,6]=>[3,7,5,2,1,4,8,6]
[6,7,2,5,3,1,4,8]=>[3,5,7,2,1,6,4,8]
[6,1,3,4,5,2,8,7]=>[6,5,1,3,4,2,8,7]
[6,1,3,4,2,7,8,5]=>[6,4,1,3,8,2,7,5]
[6,5,2,3,1,4,8,7]=>[3,5,2,1,6,4,8,7]
[6,1,3,4,8,2,7,5]=>[6,8,1,3,7,4,2,5]
[6,5,2,3,7,8,1,4]=>[8,5,2,1,6,3,7,4]
[8,4,2,7,3,5,1,6]=>[5,4,8,7,2,1,3,6]
[1,5,3,8,4,2,7,6]=>[1,4,8,5,2,7,3,6]
[7,4,2,6,3,8,1,5]=>[8,4,7,6,1,3,2,5]
[8,5,2,7,3,4,1,6]=>[4,5,8,2,7,1,3,6]
[5,4,2,1,8,3,7,6]=>[2,4,5,8,3,7,1,6]
[1,5,3,7,8,2,6,4]=>[1,8,5,6,3,2,7,4]
[3,1,6,4,2,7,8,5]=>[3,4,1,6,8,2,7,5]
[3,1,7,4,2,6,8,5]=>[3,4,1,7,8,2,6,5]
[3,8,1,4,2,6,7,5]=>[8,4,3,1,7,2,6,5]
[7,4,8,2,3,5,1,6]=>[5,8,2,7,3,1,4,6]
[8,4,5,2,7,3,1,6]=>[3,7,5,8,4,2,1,6]
[8,4,1,3,2,6,7,5]=>[4,3,1,8,7,2,6,5]
[8,1,7,3,2,5,6,4]=>[8,3,7,6,2,5,1,4]
[8,6,5,2,7,3,1,4]=>[3,7,5,2,6,8,1,4]
[6,4,5,2,1,3,8,7]=>[2,5,1,6,4,3,8,7]
[3,4,7,6,2,8,1,5]=>[8,6,3,4,1,7,2,5]
[3,8,5,1,4,6,7,2]=>[5,8,3,2,7,4,6,1]
[3,8,1,7,4,5,6,2]=>[8,6,3,7,4,5,1,2]
[3,1,6,8,4,2,7,5]=>[3,4,1,8,7,6,2,5]
[3,1,8,7,4,2,6,5]=>[3,4,1,7,6,2,8,5]
[3,7,5,6,2,8,1,4]=>[8,6,3,1,7,5,2,4]
[8,4,5,1,3,6,7,2]=>[5,7,1,8,4,3,6,2]
[8,4,5,7,2,3,1,6]=>[3,7,2,8,4,1,5,6]
[8,1,6,7,3,4,5,2]=>[8,5,7,3,4,1,6,2]
[8,1,6,2,4,5,7,3]=>[8,6,7,2,4,1,5,3]
[1,5,6,8,3,2,7,4]=>[1,3,8,7,5,6,2,4]
[7,4,5,6,2,8,1,3]=>[8,6,1,7,4,5,2,3]
[3,1,6,7,2,5,8,4]=>[3,7,1,8,2,6,5,4]
[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]
[5,6,2,3,7,4,1,8]=>[4,7,1,6,5,3,2,8]
[6,2,4,7,3,5,1,8]=>[5,6,7,2,3,4,1,8]
[1,4,8,5,3,6,7,2]=>[1,7,5,4,8,3,6,2]
[2,5,6,3,1,8,4,7]=>[3,2,6,8,5,1,4,7]
[4,5,1,2,7,8,6,3]=>[5,1,6,4,2,8,7,3]
[4,8,5,1,2,6,7,3]=>[5,1,8,4,7,3,6,2]
[4,6,7,5,1,2,8,3]=>[5,1,7,4,8,6,3,2]
[7,2,8,1,4,5,3,6]=>[8,7,5,1,4,3,2,6]
[6,1,4,7,3,8,2,5]=>[6,8,7,1,2,4,3,5]
[7,1,6,3,4,8,2,5]=>[7,8,6,3,2,1,4,5]
[2,8,4,6,3,1,5,7]=>[3,2,6,8,1,4,5,7]
[8,2,6,3,5,1,4,7]=>[5,8,6,1,3,2,4,7]
[3,7,4,1,5,8,2,6]=>[4,7,3,8,2,1,5,6]
[3,8,4,1,7,2,5,6]=>[4,8,3,7,1,5,2,6]
[6,7,5,1,3,8,2,4]=>[5,7,2,1,8,6,3,4]
[8,5,1,3,6,7,2,4]=>[5,8,2,1,7,3,6,4]
[7,8,6,2,4,1,3,5]=>[4,6,1,2,3,8,7,5]
[8,2,4,1,3,6,7,5]=>[4,8,1,2,7,3,6,5]
[8,1,3,6,2,5,7,4]=>[8,6,1,7,2,3,5,4]
[1,5,6,3,8,4,7,2]=>[1,7,6,8,5,3,4,2]
[5,6,1,3,7,2,8,4]=>[6,7,1,8,5,3,2,4]
[5,6,1,8,2,3,7,4]=>[6,8,2,7,5,1,3,4]
[5,6,1,2,8,4,7,3]=>[6,1,7,8,5,2,4,3]
[3,7,8,6,4,1,2,5]=>[4,1,3,6,2,8,7,5]
[5,7,8,3,6,4,2,1]=>[2,4,6,8,5,1,7,3]
[5,7,8,1,6,4,2,3]=>[8,4,2,6,5,1,7,3]
[3,7,8,1,6,4,2,5]=>[8,4,3,6,2,1,7,5]
[1,7,8,6,3,4,2,5]=>[1,4,6,3,2,8,7,5]
[3,7,5,8,6,4,2,1]=>[2,4,3,6,8,7,1,5]
[1,7,3,8,6,4,2,5]=>[1,4,6,8,2,7,3,5]
[5,7,1,8,6,4,2,3]=>[7,4,2,6,5,8,1,3]
[7,8,1,5,6,4,2,3]=>[8,4,2,6,1,5,7,3]
[7,8,3,5,6,4,2,1]=>[2,4,6,8,1,5,7,3]
[7,1,8,5,6,4,2,3]=>[7,4,2,6,8,5,1,3]
[7,1,5,8,6,4,2,3]=>[7,4,2,6,1,8,5,3]
[7,3,5,8,6,4,2,1]=>[2,4,6,8,3,7,5,1]
[5,3,7,8,6,4,2,1]=>[2,4,6,5,1,8,7,3]
[3,1,8,5,6,4,2,7]=>[3,4,1,6,8,5,2,7]
[8,3,1,5,6,4,2,7]=>[3,8,4,6,2,5,1,7]
[8,1,3,5,6,4,2,7]=>[8,4,1,6,3,5,2,7]
[1,8,3,5,6,4,2,7]=>[1,4,6,8,2,5,3,7]
[1,3,8,5,6,4,2,7]=>[1,4,3,6,8,5,2,7]
[1,3,5,8,6,4,2,7]=>[1,4,3,6,5,8,2,7]
[1,5,7,8,6,4,2,3]=>[1,4,2,6,5,8,7,3]
[1,8,2,6,5,3,4,7]=>[1,8,5,3,6,2,4,7]
[8,6,1,5,2,3,4,7]=>[6,5,2,3,1,8,4,7]
[8,5,1,6,2,3,4,7]=>[5,8,1,3,6,2,4,7]
[7,6,1,2,3,8,4,5]=>[6,1,2,7,3,8,4,5]
[2,7,8,4,1,3,5,6]=>[4,2,1,8,3,5,7,6]
[6,8,1,2,3,7,4,5]=>[8,1,2,7,4,6,3,5]
[8,1,5,4,2,3,7,6]=>[8,4,2,5,1,7,3,6]
[7,5,2,3,1,8,4,6]=>[3,5,2,7,8,1,4,6]
[8,1,3,5,6,7,2,4]=>[8,7,1,2,3,5,6,4]
[8,1,2,5,3,4,7,6]=>[8,1,5,3,2,7,4,6]
[8,1,5,6,4,2,7,3]=>[8,4,6,7,1,5,3,2]
[2,7,3,5,8,4,1,6]=>[4,2,8,7,1,3,5,6]
[3,7,6,2,5,8,4,1]=>[4,8,3,6,1,7,5,2]
[5,2,7,3,4,8,1,6]=>[8,5,7,3,2,1,4,6]
[8,6,4,7,3,5,2,1]=>[2,5,7,6,3,8,4,1]
[4,7,2,3,5,8,1,6]=>[8,7,2,4,3,1,5,6]
[2,5,8,3,6,4,1,7]=>[4,2,6,8,5,1,3,7]
[7,4,2,1,5,3,8,6]=>[2,4,7,5,3,8,1,6]
[7,4,6,8,2,3,5,1]=>[5,8,2,7,3,4,6,1]
[3,6,8,7,1,2,4,5]=>[7,1,3,2,4,6,8,5]
[3,2,7,1,5,6,4,8]=>[7,3,2,6,1,5,4,8]
[4,8,7,1,6,5,2,3]=>[7,5,2,4,6,1,8,3]
[4,2,1,6,5,7,8,3]=>[2,4,8,1,6,5,7,3]
[4,3,1,5,6,7,2,8]=>[3,4,7,2,5,6,1,8]
[4,5,8,2,6,3,7,1]=>[7,8,6,4,5,2,3,1]
[5,2,1,4,7,3,6,8]=>[2,5,7,1,4,3,6,8]
[2,7,5,4,1,3,6,8]=>[4,2,1,5,7,3,6,8]
[3,7,4,5,6,1,2,8]=>[6,1,3,7,4,5,2,8]
[2,7,4,6,5,1,8,3]=>[5,2,6,8,7,1,3,4]
[2,3,7,4,5,1,6,8]=>[5,2,3,7,4,1,6,8]
[6,7,3,1,2,8,5,4]=>[3,1,7,5,8,6,2,4]
[6,8,7,5,2,1,4,3]=>[2,5,4,1,7,6,8,3]
[7,8,2,6,3,1,4,5]=>[3,6,8,2,4,1,7,5]
[2,8,6,3,5,1,4,7]=>[5,2,6,1,3,8,4,7]
[7,2,6,3,1,4,5,8]=>[3,6,7,2,4,1,5,8]
[7,8,6,4,1,5,2,3]=>[4,6,1,5,2,8,7,3]
[2,7,6,5,3,4,1,8]=>[4,2,5,3,6,7,1,8]
[8,2,6,4,5,3,1,7]=>[3,5,8,6,4,1,2,7]
[8,7,2,6,4,3,1,5]=>[3,4,6,7,1,2,8,5]
[1,2,8,6,4,5,3,7]=>[1,2,5,6,4,8,3,7]
[1,5,8,7,6,3,4,2]=>[1,4,6,3,5,7,8,2]
[1,4,6,8,5,3,2,7]=>[1,3,5,4,8,6,2,7]
[1,4,7,8,5,6,3,2]=>[1,3,6,4,8,5,7,2]
[1,2,5,8,6,4,7,3]=>[1,2,7,6,5,8,4,3]
[1,8,6,7,2,3,5,4]=>[1,7,2,5,3,8,6,4]
[1,4,8,5,6,3,2,7]=>[1,3,6,4,8,5,2,7]
[1,6,4,8,5,7,3,2]=>[1,3,7,6,8,4,5,2]
[1,7,3,2,6,8,5,4]=>[1,3,7,5,8,2,6,4]
[1,7,3,6,4,2,5,8]=>[1,4,6,7,3,2,5,8]
[1,6,8,5,2,7,3,4]=>[1,5,8,2,7,6,3,4]
[1,6,8,5,4,2,3,7]=>[1,4,2,5,8,6,3,7]
[1,6,3,2,4,5,8,7]=>[1,3,6,2,4,5,8,7]
[1,7,4,5,8,6,2,3]=>[1,6,2,8,3,7,5,4]
[1,2,8,6,5,3,4,7]=>[1,2,5,3,6,8,4,7]
[1,3,6,7,2,8,5,4]=>[1,7,3,5,8,6,2,4]
[1,8,5,2,6,7,3,4]=>[1,5,8,2,7,3,6,4]
[1,3,4,8,5,2,7,6]=>[1,5,3,4,8,7,2,6]
[1,3,8,5,2,4,7,6]=>[1,5,3,2,8,7,4,6]
[3,5,8,7,6,2,4,1]=>[4,6,3,2,5,7,8,1]
[6,5,3,7,4,1,8,2]=>[4,7,8,5,6,1,2,3]
[3,1,5,4,6,8,7,2]=>[3,7,1,5,4,6,8,2]
[3,1,6,4,2,5,8,7]=>[3,4,1,6,2,5,8,7]
[3,6,1,4,5,7,8,2]=>[6,8,3,1,4,5,7,2]
[1,8,4,7,2,3,6,5]=>[1,7,2,8,6,3,4,5]
[5,7,8,2,4,6,1,3]=>[6,8,1,2,5,4,7,3]
[5,4,2,3,6,8,1,7]=>[8,4,2,5,3,6,1,7]
[3,8,1,6,4,2,5,7]=>[8,4,3,6,2,1,5,7]
[7,3,2,1,8,6,4,5]=>[2,3,7,6,4,8,1,5]
[8,7,2,4,1,3,6,5]=>[4,7,1,2,6,3,8,5]
[8,2,6,3,5,7,1,4]=>[7,8,6,1,3,2,5,4]
[1,8,3,7,4,6,5,2]=>[1,5,6,8,7,2,4,3]
[8,2,3,1,7,4,5,6]=>[3,8,2,7,4,5,1,6]
[3,1,7,8,6,2,5,4]=>[3,6,1,5,2,8,7,4]
[4,8,1,2,6,5,7,3]=>[8,1,7,4,6,2,5,3]
[5,6,1,8,3,7,2,4]=>[6,7,8,2,5,1,3,4]
[2,8,1,6,5,3,7,4]=>[8,2,5,6,7,1,4,3]
[2,1,5,7,6,3,8,4]=>[2,1,6,7,5,8,4,3]
[4,1,2,5,7,6,8,3]=>[4,1,8,2,5,7,6,3]
[4,3,5,1,7,8,6,2]=>[5,6,4,3,1,8,7,2]
[1,8,5,2,3,4,7,6]=>[1,5,2,3,8,7,4,6]
[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]
[1,2,7,8,4,5,6,3]=>[1,2,6,8,4,5,7,3]
[4,8,5,1,2,3,7,6]=>[5,1,2,4,8,7,3,6]
[4,3,8,7,6,2,5,1]=>[5,6,4,3,2,7,8,1]
[5,4,8,2,7,6,3,1]=>[3,6,7,5,4,8,2,1]
[3,2,5,6,4,8,1,7]=>[8,3,2,6,5,4,1,7]
[2,3,6,4,1,7,5,8]=>[4,2,3,6,7,1,5,8]
[2,3,7,1,5,8,4,6]=>[7,2,3,8,1,4,5,6]
[2,3,6,1,7,5,8,4]=>[6,2,3,8,7,1,5,4]
[2,3,6,5,1,7,4,8]=>[5,2,3,6,7,4,1,8]
[3,6,4,2,1,5,7,8]=>[2,4,3,6,1,5,7,8]
[4,3,2,6,5,8,1,7]=>[8,3,4,2,6,5,1,7]
[4,6,5,2,1,7,8,3]=>[2,5,6,4,8,3,7,1]
[4,6,1,7,5,8,3,2]=>[6,3,8,4,7,1,5,2]
[4,2,6,5,1,7,8,3]=>[5,4,6,2,8,3,7,1]
[4,1,5,7,6,8,3,2]=>[4,3,8,1,5,7,6,2]
[3,5,6,2,1,4,7,8]=>[2,6,3,1,5,4,7,8]
[4,2,5,7,6,8,3,1]=>[3,8,4,1,5,7,6,2]
[4,3,6,5,2,8,1,7]=>[8,5,4,3,6,2,1,7]
[4,3,6,5,1,7,8,2]=>[5,6,4,3,8,2,7,1]
[3,6,4,5,2,1,7,8]=>[2,5,3,6,4,1,7,8]
[3,5,6,4,2,8,1,7]=>[8,4,3,6,5,2,1,7]
[4,6,5,3,1,7,8,2]=>[3,5,6,4,8,1,7,2]
[5,8,1,4,2,3,6,7]=>[8,4,2,1,5,3,6,7]
[4,5,8,2,3,1,6,7]=>[3,8,2,4,5,1,6,7]
[3,5,4,8,1,7,2,6]=>[8,7,3,5,4,2,1,6]
[5,3,6,8,1,4,7,2]=>[8,7,5,1,3,6,4,2]
[3,5,1,8,6,4,7,2]=>[5,7,3,6,1,8,4,2]
[4,7,2,8,3,1,6,5]=>[3,8,7,4,6,2,1,5]
[1,2,5,6,8,3,7,4]=>[1,2,8,7,5,6,3,4]
[5,3,8,4,6,2,7,1]=>[7,6,5,8,3,4,2,1]
[7,4,8,1,5,2,6,3]=>[8,5,6,7,1,2,4,3]
[8,3,2,1,6,5,7,4]=>[2,3,8,7,6,1,5,4]
[4,1,5,6,8,7,2,3]=>[4,7,2,1,5,6,8,3]
[1,2,5,6,8,4,7,3]=>[1,2,7,8,5,6,4,3]
[1,5,6,8,4,7,2,3]=>[1,7,2,8,5,6,4,3]
[5,6,8,1,2,4,7,3]=>[8,1,7,2,5,6,4,3]
[6,8,1,4,5,7,2,3]=>[8,7,2,1,4,6,5,3]
[4,3,5,1,8,6,7,2]=>[5,7,4,3,1,8,6,2]
[1,3,5,6,8,4,7,2]=>[1,7,3,8,5,6,4,2]
[5,6,8,2,3,4,7,1]=>[7,8,2,3,5,6,4,1]
[6,5,1,2,4,8,7,3]=>[5,1,6,3,7,4,8,2]
[5,8,7,2,1,3,6,4]=>[2,7,1,6,5,3,8,4]
[5,1,7,2,8,6,3,4]=>[5,7,6,3,1,8,2,4]
[6,1,5,3,4,8,7,2]=>[6,7,5,3,1,4,8,2]
[5,8,6,3,2,1,4,7]=>[2,3,6,1,5,8,4,7]
[8,7,1,6,3,5,4,2]=>[7,4,5,6,2,1,8,3]
[3,2,1,7,8,6,4,5]=>[2,3,1,6,4,8,7,5]
[8,6,7,1,2,5,3,4]=>[7,1,5,3,2,8,6,4]
[1,5,6,4,2,8,7,3]=>[1,4,6,7,5,3,8,2]
[7,5,1,4,8,2,3,6]=>[5,7,1,2,8,3,4,6]
[3,2,8,1,7,5,6,4]=>[8,3,2,6,7,5,1,4]
[8,4,3,1,7,5,6,2]=>[3,4,8,6,7,5,1,2]
[6,1,7,8,4,2,3,5]=>[6,4,2,8,3,1,7,5]
[7,4,3,1,8,5,2,6]=>[3,4,7,5,8,2,1,6]
[7,8,1,6,3,4,5,2]=>[8,5,6,3,4,1,7,2]
[6,8,1,7,3,4,2,5]=>[8,4,7,3,2,6,1,5]
[4,6,5,3,8,2,7,1]=>[7,8,5,4,6,3,2,1]
[4,5,6,3,8,1,7,2]=>[8,7,6,4,5,3,1,2]
[1,3,7,6,4,5,8,2]=>[1,8,3,6,4,7,5,2]
[3,2,5,8,4,7,6,1]=>[6,3,2,7,5,8,1,4]
[1,4,5,3,8,6,2,7]=>[1,6,5,4,3,8,2,7]
[1,3,5,8,4,7,6,2]=>[1,6,3,7,5,8,2,4]
[1,4,2,6,7,5,8,3]=>[1,4,8,2,7,6,5,3]
[7,8,3,5,2,1,6,4]=>[2,5,8,6,3,1,7,4]
[7,8,6,3,5,2,4,1]=>[4,5,6,2,3,8,7,1]
[6,3,7,5,2,4,1,8]=>[4,5,7,3,6,2,1,8]
[1,8,2,4,5,7,3,6]=>[1,8,7,2,4,3,5,6]
[6,2,4,5,7,3,1,8]=>[3,7,6,1,4,5,2,8]
[7,8,2,4,6,5,3,1]=>[3,5,6,2,8,4,7,1]
[7,8,1,5,6,4,3,2]=>[8,3,4,6,1,5,7,2]
[6,1,7,4,5,3,2,8]=>[6,3,5,7,4,1,2,8]
[6,3,7,5,1,4,2,8]=>[5,4,7,3,6,1,2,8]
[3,8,5,7,4,2,1,6]=>[2,4,3,7,8,1,5,6]
[2,8,3,7,5,1,4,6]=>[5,2,7,3,8,4,1,6]
[2,8,5,4,7,3,6,1]=>[6,2,7,5,8,3,4,1]
[5,3,1,2,6,7,4,8]=>[3,1,5,7,2,6,4,8]
[1,3,8,2,4,6,7,5]=>[1,8,3,2,7,4,6,5]
[6,1,7,3,4,2,5,8]=>[6,4,7,3,2,1,5,8]
[6,4,7,2,1,3,5,8]=>[2,7,1,6,3,4,5,8]
[4,8,3,6,7,2,1,5]=>[2,7,8,4,1,3,6,5]
[4,3,7,8,6,2,1,5]=>[2,6,4,3,1,8,7,5]
[3,8,5,4,7,2,6,1]=>[6,7,3,5,8,2,4,1]
[4,8,5,3,7,1,6,2]=>[7,6,5,4,8,1,3,2]
[3,8,2,6,5,7,4,1]=>[4,7,3,8,6,1,5,2]
[3,1,7,2,5,8,6,4]=>[3,7,1,6,2,8,5,4]
[4,3,7,8,1,6,5,2]=>[8,5,4,3,6,1,7,2]
[2,8,7,6,3,5,1,4]=>[5,2,6,1,3,7,8,4]
[2,8,4,7,6,5,1,3]=>[5,2,1,6,7,8,4,3]
[2,8,7,1,5,6,4,3]=>[7,2,4,6,1,5,8,3]
[3,5,6,2,8,1,7,4]=>[8,6,3,7,5,2,1,4]
[5,3,1,8,6,2,7,4]=>[3,5,6,8,2,7,4,1]
[3,1,4,6,8,2,7,5]=>[3,8,1,4,7,6,2,5]
[4,1,5,7,3,8,2,6]=>[4,8,7,1,5,2,3,6]
[6,2,5,8,4,7,3,1]=>[3,7,6,8,1,5,4,2]
[7,2,8,5,4,3,6,1]=>[6,7,4,5,8,3,2,1]
[7,1,6,8,2,5,3,4]=>[7,8,5,3,2,1,6,4]
[2,6,5,7,8,4,1,3]=>[4,2,1,8,6,5,7,3]
[3,6,5,7,4,1,8,2]=>[4,7,3,8,6,5,2,1]
[1,6,5,7,4,2,3,8]=>[1,4,2,7,6,5,3,8]
[3,4,7,5,2,1,8,6]=>[2,5,3,4,7,8,1,6]
[3,6,7,5,8,4,1,2]=>[4,1,3,8,7,6,5,2]
[3,4,7,2,5,6,8,1]=>[8,7,3,4,2,5,6,1]
[2,5,3,7,8,6,4,1]=>[4,2,6,5,1,8,7,3]
[7,2,8,4,5,6,3,1]=>[3,6,7,8,4,5,1,2]
[6,2,3,8,5,4,7,1]=>[7,6,2,5,8,3,4,1]
[5,1,4,7,8,6,3,2]=>[5,3,6,1,4,8,7,2]
[5,7,8,6,4,1,3,2]=>[4,3,1,6,5,8,7,2]
[6,8,7,3,2,4,5,1]=>[5,3,7,2,4,6,8,1]
[5,1,4,8,6,7,3,2]=>[5,3,7,1,4,8,6,2]
[3,8,6,1,4,5,7,2]=>[6,8,3,2,4,7,5,1]
[2,7,4,1,3,8,5,6]=>[4,2,1,7,8,5,3,6]
[6,1,4,8,5,7,2,3]=>[6,7,2,1,8,4,5,3]
[2,8,5,1,4,6,7,3]=>[5,2,8,3,7,4,6,1]
[2,3,1,6,5,8,4,7]=>[3,2,1,8,6,5,4,7]
[7,5,8,6,4,1,3,2]=>[4,3,1,6,8,7,2,5]
[2,8,5,6,4,1,3,7]=>[4,2,1,6,8,5,3,7]
[2,8,5,1,4,6,3,7]=>[5,2,8,3,6,4,1,7]
[2,7,6,3,8,5,1,4]=>[5,2,8,3,6,7,1,4]
[2,6,3,7,8,5,1,4]=>[5,2,8,3,6,1,7,4]
[2,3,1,7,8,4,6,5]=>[3,2,1,8,6,4,7,5]
[2,3,1,8,4,6,5,7]=>[3,2,1,8,6,4,5,7]
[2,3,1,7,6,8,4,5]=>[3,2,1,8,4,7,6,5]
[2,3,1,8,4,6,7,5]=>[3,2,1,8,7,4,6,5]
[2,7,3,6,8,5,1,4]=>[5,2,8,3,7,1,6,4]
[5,2,3,1,8,4,6,7]=>[3,5,2,8,1,4,6,7]
[4,2,3,5,1,8,6,7]=>[5,4,2,3,1,8,6,7]
[5,8,7,2,6,4,1,3]=>[4,6,2,7,5,1,8,3]
[5,8,7,3,6,2,1,4]=>[2,6,7,1,5,3,8,4]
[6,8,5,1,7,4,3,2]=>[5,3,4,8,7,6,2,1]
[6,8,5,2,7,4,1,3]=>[4,7,2,5,8,6,1,3]
[6,8,5,3,7,1,4,2]=>[7,4,5,1,8,6,3,2]
[6,8,5,4,1,7,3,2]=>[4,3,5,8,7,6,1,2]
[7,3,8,6,5,2,1,4]=>[2,5,6,1,8,7,3,4]
[7,4,8,6,3,2,1,5]=>[2,3,6,8,4,7,1,5]
[7,5,8,1,6,4,3,2]=>[8,3,4,6,7,1,5,2]
[7,5,8,2,6,4,1,3]=>[4,6,2,8,7,1,5,3]
[7,6,2,8,5,4,1,3]=>[4,5,1,8,6,7,2,3]
[6,5,4,2,1,8,7,3]=>[2,4,5,6,7,1,8,3]
[6,5,4,2,8,1,7,3]=>[8,4,5,6,7,2,1,3]
[6,3,2,8,1,7,5,4]=>[8,3,6,5,7,2,1,4]
[2,6,8,7,1,3,5,4]=>[7,2,1,5,3,6,8,4]
[5,3,8,7,6,2,1,4]=>[2,6,5,1,3,7,8,4]
[3,7,6,1,4,5,2,8]=>[6,5,3,1,4,7,2,8]
[4,1,6,2,7,5,3,8]=>[4,6,5,1,7,2,3,8]
[7,6,2,5,3,1,4,8]=>[3,5,6,2,1,7,4,8]
[4,3,1,7,6,2,5,8]=>[3,4,6,2,1,7,5,8]
[4,5,3,1,2,8,6,7]=>[3,1,5,4,2,8,6,7]
[2,4,5,3,1,8,6,7]=>[3,2,5,4,1,8,6,7]
[5,7,6,2,3,1,4,8]=>[3,6,2,1,5,7,4,8]
[4,1,3,7,5,2,6,8]=>[4,5,1,3,7,2,6,8]
[4,1,6,3,2,7,5,8]=>[4,3,6,1,7,2,5,8]
[7,5,4,1,3,2,6,8]=>[4,3,1,5,7,2,6,8]
[2,4,8,5,6,3,1,7]=>[3,2,6,4,8,5,1,7]
[2,5,7,4,1,3,6,8]=>[4,2,1,7,5,3,6,8]
[5,7,4,1,3,2,6,8]=>[4,3,1,7,5,2,6,8]
[2,6,8,4,5,3,1,7]=>[3,2,5,8,4,6,1,7]
[5,2,3,7,4,1,6,8]=>[4,7,1,5,3,2,6,8]
[4,5,1,6,3,2,7,8]=>[5,3,6,4,1,2,7,8]
[5,1,6,3,2,4,7,8]=>[5,3,6,2,1,4,7,8]
[4,2,5,1,6,3,7,8]=>[5,4,6,2,1,3,7,8]
[5,1,6,2,4,3,7,8]=>[5,6,4,2,1,3,7,8]
[3,5,4,2,1,8,6,7]=>[2,4,3,5,1,8,6,7]
[5,3,4,8,7,6,2,1]=>[2,6,5,3,4,7,8,1]
[8,3,1,6,7,5,4,2]=>[3,8,4,5,7,2,6,1]
[8,4,6,5,7,2,3,1]=>[3,7,2,8,6,4,5,1]
[1,8,2,6,7,4,5,3]=>[1,8,5,7,4,2,6,3]
[8,5,7,2,4,3,6,1]=>[6,7,4,2,8,3,5,1]
[8,5,3,6,4,7,2,1]=>[2,7,5,8,6,4,3,1]
[8,2,5,3,6,7,4,1]=>[4,7,8,5,3,1,6,2]
[1,2,8,3,4,7,6,5]=>[1,2,8,3,6,7,4,5]
[6,8,5,2,7,1,3,4]=>[7,5,1,3,8,6,2,4]
[1,5,7,2,6,8,4,3]=>[1,7,4,8,5,2,6,3]
[7,6,4,5,2,1,8,3]=>[2,5,8,6,4,7,1,3]
[8,2,4,7,6,3,1,5]=>[3,6,7,2,1,8,4,5]
[8,7,5,1,4,6,3,2]=>[5,3,7,2,6,4,8,1]
[7,3,8,5,4,2,1,6]=>[2,4,5,8,7,1,3,6]
[6,3,4,7,2,8,5,1]=>[5,8,7,1,6,4,3,2]
[8,1,7,3,6,4,2,5]=>[8,4,6,7,3,2,1,5]
[7,1,8,5,3,4,2,6]=>[7,4,5,3,8,2,1,6]
[6,8,4,3,1,5,2,7]=>[3,4,8,5,1,6,2,7]
[5,6,4,1,8,2,3,7]=>[4,6,1,8,5,2,3,7]
[1,4,5,8,3,2,6,7]=>[1,3,8,4,5,2,6,7]
[1,5,2,4,7,8,6,3]=>[1,5,6,2,4,8,7,3]
[5,2,7,4,3,8,6,1]=>[6,5,4,8,2,7,1,3]
[2,7,3,4,8,5,6,1]=>[6,2,7,3,8,5,4,1]
[2,7,6,8,3,5,4,1]=>[4,2,5,8,1,7,6,3]
[2,7,4,5,3,8,6,1]=>[6,2,5,8,1,7,3,4]
[4,6,7,3,1,2,8,5]=>[3,1,7,4,8,6,2,5]
[6,2,3,7,4,5,8,1]=>[8,6,2,7,4,3,5,1]
[1,6,3,2,7,5,8,4]=>[1,3,6,8,7,2,5,4]
[7,3,5,2,6,8,1,4]=>[8,5,7,1,3,2,6,4]
[6,4,2,7,1,5,8,3]=>[7,4,6,8,1,3,5,2]
[2,5,3,6,4,7,8,1]=>[8,2,5,6,3,4,7,1]
[4,2,5,3,6,7,8,1]=>[8,4,5,2,3,6,7,1]
[1,6,5,2,4,7,3,8]=>[1,5,6,3,7,4,2,8]
[1,8,7,2,4,6,3,5]=>[1,7,6,2,3,4,8,5]
[1,8,7,2,5,4,3,6]=>[1,7,4,5,2,3,8,6]
[1,5,4,2,7,3,6,8]=>[1,4,5,7,3,2,6,8]
[1,5,4,2,8,7,3,6]=>[1,4,5,7,3,2,8,6]
[1,6,8,3,5,2,4,7]=>[1,5,8,2,3,6,4,7]
[1,7,6,2,3,5,8,4]=>[1,6,2,7,4,8,5,3]
[1,2,8,3,6,5,4,7]=>[1,2,8,5,6,3,4,7]
[1,3,8,6,5,2,4,7]=>[1,5,3,2,6,8,4,7]
[1,4,7,3,2,8,6,5]=>[1,3,7,4,6,8,2,5]
[1,8,6,5,2,4,7,3]=>[1,5,6,2,8,7,4,3]
[1,6,8,4,3,2,5,7]=>[1,3,4,8,2,6,5,7]
[1,7,5,3,2,6,4,8]=>[1,3,5,7,6,4,2,8]
[1,2,6,5,3,8,4,7]=>[1,2,5,6,8,4,3,7]
[1,7,3,2,8,4,6,5]=>[1,3,7,8,6,4,2,5]
[1,6,5,2,8,4,7,3]=>[1,5,6,7,8,3,2,4]
[1,8,3,7,2,4,6,5]=>[1,7,8,2,6,4,3,5]
[5,4,2,8,7,6,1,3]=>[6,4,1,5,2,7,8,3]
[8,6,3,2,5,7,4,1]=>[4,3,7,6,1,8,5,2]
[7,3,2,1,6,5,8,4]=>[2,3,7,8,6,1,5,4]
[7,3,2,6,1,5,8,4]=>[6,3,7,8,1,2,5,4]
[6,8,5,2,7,1,4,3]=>[7,5,4,1,8,6,2,3]
[6,8,2,5,1,7,4,3]=>[5,8,4,7,2,6,1,3]
[6,7,5,2,8,1,3,4]=>[8,5,1,3,7,6,2,4]
[5,8,1,2,6,7,4,3]=>[8,1,4,7,5,2,6,3]
[6,8,5,7,2,1,4,3]=>[2,7,4,1,8,6,5,3]
[6,5,8,2,7,4,1,3]=>[4,7,2,8,6,5,1,3]
[6,2,5,7,3,1,8,4]=>[3,7,6,8,1,5,2,4]
[8,4,6,5,3,2,7,1]=>[7,3,5,6,8,2,4,1]
[6,2,1,7,5,8,4,3]=>[2,6,4,8,7,1,5,3]
[8,6,3,1,5,2,7,4]=>[3,6,5,8,4,7,1,2]
[1,6,4,8,5,3,7,2]=>[1,7,5,8,6,3,4,2]
[2,8,1,6,5,4,7,3]=>[8,2,7,5,6,1,4,3]
[3,5,6,2,8,7,1,4]=>[7,6,3,1,5,2,8,4]
[8,2,7,5,1,3,6,4]=>[5,7,2,8,6,3,4,1]
[5,2,8,6,1,3,7,4]=>[6,5,1,8,2,7,4,3]
[5,2,3,8,6,1,7,4]=>[6,5,2,8,3,7,4,1]
[1,6,5,3,4,7,8,2]=>[1,8,5,3,6,4,7,2]
[2,5,1,7,6,4,8,3]=>[5,2,8,6,1,7,4,3]
[4,2,6,7,8,1,3,5]=>[8,4,1,2,3,6,7,5]
[4,6,5,1,3,7,8,2]=>[5,6,2,4,8,3,7,1]
[5,1,8,3,6,2,7,4]=>[5,6,8,7,1,3,2,4]
[5,1,7,2,6,4,8,3]=>[5,7,8,6,1,2,4,3]
[7,4,5,2,6,3,8,1]=>[8,5,6,7,4,2,3,1]
[2,5,1,8,7,6,4,3]=>[5,2,4,6,1,7,8,3]
[4,7,6,1,3,5,8,2]=>[6,7,2,4,3,8,5,1]
[4,2,5,7,6,8,1,3]=>[8,4,1,2,5,7,6,3]
[4,1,7,6,2,5,8,3]=>[4,6,7,1,3,8,5,2]
[4,1,7,6,5,8,2,3]=>[4,8,2,1,6,7,5,3]
[8,2,7,5,6,3,1,4]=>[3,6,8,2,7,5,1,4]
[6,5,4,1,3,7,8,2]=>[4,5,1,6,8,3,7,2]
[5,2,1,7,6,4,8,3]=>[2,5,8,6,1,7,4,3]
[4,2,3,6,7,8,1,5]=>[8,4,2,3,1,6,7,5]
[4,7,2,1,6,5,8,3]=>[2,7,8,4,6,1,5,3]
[2,7,6,4,1,5,8,3]=>[4,2,6,7,1,8,5,3]
[2,4,3,6,7,8,1,5]=>[8,2,4,3,1,6,7,5]
[5,4,1,7,2,8,3,6]=>[4,5,7,8,2,1,3,6]
[6,8,5,2,7,3,1,4]=>[3,7,5,2,8,6,1,4]
[6,7,5,2,8,3,1,4]=>[3,8,5,2,7,6,1,4]
[4,1,7,6,8,2,3,5]=>[4,8,2,1,3,7,6,5]
[7,5,2,4,1,8,3,6]=>[4,5,7,3,8,2,1,6]
[5,2,1,3,7,8,4,6]=>[2,5,1,8,3,4,7,6]
[8,4,2,6,1,7,3,5]=>[6,4,8,7,2,3,1,5]
[8,5,1,7,6,2,4,3]=>[5,8,4,1,6,7,2,3]
[7,2,1,3,8,4,5,6]=>[2,7,1,8,4,5,3,6]
[7,1,2,8,5,4,6,3]=>[7,1,6,5,8,4,2,3]
[8,2,1,6,3,7,4,5]=>[2,8,6,7,4,1,3,5]
[7,1,6,8,2,4,3,5]=>[7,8,4,2,3,1,6,5]
[4,8,1,7,3,2,6,5]=>[8,3,7,4,6,2,1,5]
[4,7,1,8,3,2,6,5]=>[7,3,8,4,6,2,1,5]
[7,8,5,2,6,3,1,4]=>[3,6,5,2,8,1,7,4]
[5,1,8,6,7,4,2,3]=>[5,4,2,7,1,8,6,3]
[5,1,7,2,6,8,3,4]=>[5,7,8,3,1,2,6,4]
[4,7,1,6,3,8,2,5]=>[7,8,6,4,2,1,3,5]
[6,5,1,3,7,8,2,4]=>[5,6,2,1,8,3,7,4]
[7,2,1,4,3,5,8,6]=>[2,7,4,1,3,8,5,6]
[6,1,2,7,4,8,3,5]=>[6,1,8,7,3,2,4,5]
[7,1,2,5,4,3,8,6]=>[7,1,4,5,2,8,3,6]
[7,2,1,3,5,4,8,6]=>[2,7,1,5,3,8,4,6]
[4,1,2,8,6,5,7,3]=>[4,1,7,2,6,8,5,3]
[4,1,2,6,8,7,3,5]=>[4,1,7,2,3,6,8,5]
[5,1,2,7,8,6,3,4]=>[5,1,6,3,2,8,7,4]
[7,6,2,3,5,1,8,4]=>[5,6,2,7,4,8,1,3]
[6,1,2,4,3,7,8,5]=>[6,1,4,2,8,3,7,5]
[8,1,5,4,2,3,6,7]=>[8,4,2,5,1,3,6,7]
[7,1,2,4,6,3,8,5]=>[7,1,6,2,8,4,3,5]
[7,1,2,6,5,3,8,4]=>[7,1,5,6,8,2,4,3]
[7,5,6,1,2,4,8,3]=>[6,1,8,2,7,5,4,3]
[7,1,4,5,2,3,6,8]=>[7,5,2,1,4,3,6,8]
[6,1,4,8,7,2,3,5]=>[6,7,2,1,3,4,8,5]
[6,1,8,5,7,2,3,4]=>[6,7,2,3,8,1,5,4]
[1,6,7,5,8,3,4,2]=>[1,4,8,3,7,6,5,2]
[6,1,7,5,8,2,3,4]=>[6,8,2,3,7,1,5,4]
[6,1,4,7,8,2,3,5]=>[6,8,2,1,3,4,7,5]
[8,1,2,3,7,5,4,6]=>[8,1,2,5,7,4,3,6]
[5,8,6,1,2,4,7,3]=>[6,1,8,3,5,7,4,2]
[1,6,8,7,5,3,4,2]=>[1,4,5,3,7,6,8,2]
[6,1,8,7,5,2,3,4]=>[6,5,2,3,7,1,8,4]
[8,3,1,2,4,6,5,7]=>[3,1,8,2,6,4,5,7]
[8,3,1,2,4,5,7,6]=>[3,1,8,2,4,7,5,6]
[6,3,1,2,4,7,5,8]=>[3,1,6,2,7,4,5,8]
[6,7,1,4,2,3,5,8]=>[7,4,2,1,3,6,5,8]
[6,1,7,4,8,2,3,5]=>[6,8,2,7,3,1,4,5]
[6,7,8,5,1,2,4,3]=>[5,1,4,2,8,6,7,3]
[4,3,8,5,6,2,7,1]=>[7,6,4,3,8,5,2,1]
[4,3,8,6,7,2,5,1]=>[5,7,4,3,2,8,6,1]
[7,6,8,1,5,3,4,2]=>[8,4,5,3,1,7,6,2]
[7,4,6,1,5,3,8,2]=>[6,8,5,7,1,4,3,2]
[6,1,8,3,7,4,5,2]=>[6,5,8,7,4,1,3,2]
[6,3,8,1,7,2,5,4]=>[8,7,6,5,2,3,1,4]
[8,3,4,2,7,1,6,5]=>[7,4,8,3,6,1,2,5]
[7,2,3,1,5,4,8,6]=>[3,7,2,5,1,8,4,6]
[6,1,5,4,8,2,7,3]=>[6,8,7,5,1,4,2,3]
[6,1,8,5,7,3,4,2]=>[6,4,7,3,8,1,5,2]
[6,2,5,4,7,1,8,3]=>[7,6,8,5,2,4,1,3]
[2,6,3,4,8,7,5,1]=>[5,2,7,1,6,4,8,3]
[2,7,4,5,1,8,3,6]=>[5,2,8,7,4,3,1,6]
[8,4,5,7,6,1,2,3]=>[6,1,2,7,3,8,5,4]
[8,4,5,7,1,3,6,2]=>[7,6,1,8,4,3,5,2]
[8,1,3,4,6,7,5,2]=>[8,5,1,3,7,4,6,2]
[8,7,6,2,3,5,4,1]=>[4,5,1,6,3,7,8,2]
[8,3,6,7,5,1,2,4]=>[5,1,7,3,8,2,6,4]
[8,2,1,6,5,7,4,3]=>[2,8,4,7,6,1,5,3]
[2,7,1,8,5,6,4,3]=>[7,2,4,6,8,5,1,3]
[2,7,8,6,1,5,3,4]=>[6,2,5,3,1,8,7,4]
[4,6,8,2,3,5,1,7]=>[5,8,2,4,3,6,1,7]
[6,8,2,1,3,5,4,7]=>[2,8,1,5,3,6,4,7]
[3,5,1,6,4,8,2,7]=>[5,8,3,6,1,4,2,7]
[3,5,8,6,2,1,4,7]=>[2,6,3,1,5,8,4,7]
[2,4,8,5,6,1,3,7]=>[6,2,1,4,8,5,3,7]
[4,8,2,5,6,1,3,7]=>[6,8,1,4,2,5,3,7]
[5,3,8,4,2,7,6,1]=>[6,4,7,5,2,8,1,3]
[2,8,5,3,1,4,7,6]=>[3,2,5,1,8,7,4,6]
[1,7,8,4,6,3,2,5]=>[1,3,6,8,2,4,7,5]
[8,7,2,4,6,3,1,5]=>[3,6,7,1,2,4,8,5]
[8,7,3,2,1,6,4,5]=>[2,3,7,6,4,1,8,5]
[7,8,3,4,6,5,2,1]=>[2,5,6,1,8,4,7,3]
[8,7,3,6,5,2,4,1]=>[4,5,6,3,7,2,8,1]
[3,1,2,8,6,5,7,4]=>[3,1,2,7,6,8,5,4]
[3,8,2,7,5,4,6,1]=>[6,8,3,5,7,4,2,1]
[8,7,1,4,5,3,6,2]=>[7,6,5,1,4,3,8,2]
[2,8,7,4,6,3,5,1]=>[5,2,6,7,3,4,8,1]
[2,8,7,4,6,3,1,5]=>[3,2,6,7,1,4,8,5]
[8,3,4,1,2,5,7,6]=>[4,1,8,3,2,7,5,6]
[8,4,1,3,2,5,7,6]=>[4,3,1,8,2,7,5,6]
[7,3,8,6,2,1,4,5]=>[2,6,8,3,4,7,1,5]
[7,2,8,4,6,5,1,3]=>[5,6,2,7,8,1,4,3]
[5,8,6,4,7,2,3,1]=>[3,7,2,6,5,8,4,1]
[4,7,2,6,5,8,3,1]=>[3,8,7,4,6,1,5,2]
[3,6,8,5,7,4,2,1]=>[2,4,3,7,8,6,5,1]
[6,7,5,2,4,8,3,1]=>[3,8,5,1,7,6,4,2]
[8,1,2,7,5,6,3,4]=>[8,1,6,3,7,5,2,4]
[8,2,7,3,4,6,1,5]=>[6,8,7,3,1,4,2,5]
[6,7,5,4,8,1,3,2]=>[8,3,1,5,7,6,4,2]
[8,3,5,6,4,7,2,1]=>[2,7,8,6,3,5,4,1]
[8,5,6,2,4,3,7,1]=>[7,6,4,2,8,5,3,1]
[6,5,8,1,3,4,2,7]=>[8,4,1,3,6,5,2,7]
[6,8,4,5,1,3,2,7]=>[5,3,1,8,4,6,2,7]
[6,4,8,7,5,3,2,1]=>[2,3,5,7,6,1,8,4]
[6,7,1,4,3,2,8,5]=>[7,3,4,1,8,6,2,5]
[7,2,5,1,4,8,3,6]=>[5,7,8,1,2,3,4,6]
[5,8,1,3,4,2,7,6]=>[8,4,1,3,5,7,2,6]
[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4]
[1,3,7,6,8,4,2,5]=>[1,4,3,8,2,7,6,5]
[1,6,7,3,2,8,5,4]=>[1,3,7,5,8,6,2,4]
[3,2,7,6,8,4,5,1]=>[5,3,2,8,4,7,6,1]
[1,3,8,5,2,7,6,4]=>[1,5,3,8,6,7,4,2]
[6,4,1,5,2,8,7,3]=>[4,6,5,7,2,3,8,1]
[7,6,5,3,1,8,2,4]=>[3,5,6,1,7,8,2,4]
[2,5,1,4,7,3,6,8]=>[5,2,7,1,4,3,6,8]
[3,1,6,5,7,2,4,8]=>[3,7,1,2,6,5,4,8]
[2,6,1,5,7,4,8,3]=>[6,2,8,7,1,5,4,3]
[2,5,7,1,6,3,8,4]=>[7,2,6,8,5,1,3,4]
[2,6,1,5,7,4,3,8]=>[6,2,4,7,1,5,3,8]
[3,1,6,5,2,4,7,8]=>[3,5,1,2,6,4,7,8]
[3,6,5,1,4,2,7,8]=>[5,4,3,1,6,2,7,8]
[3,6,5,1,7,2,4,8]=>[5,6,3,1,7,2,4,8]
[3,6,5,2,1,4,7,8]=>[2,5,3,1,6,4,7,8]
[5,4,3,6,1,7,2,8]=>[6,7,4,5,3,1,2,8]
[4,5,2,7,6,1,3,8]=>[6,5,1,4,2,7,3,8]
[4,6,5,3,1,2,7,8]=>[3,1,5,4,6,2,7,8]
[5,4,1,6,3,7,2,8]=>[4,5,7,6,2,1,3,8]
[5,4,2,6,3,7,8,1]=>[8,4,5,6,3,2,7,1]
[3,6,5,7,1,4,2,8]=>[7,4,3,1,6,5,2,8]
[3,6,5,1,4,7,2,8]=>[5,6,3,2,7,4,1,8]
[4,3,6,5,7,1,2,8]=>[7,1,4,3,6,5,2,8]
[4,2,6,5,1,3,7,8]=>[5,4,1,2,6,3,7,8]
[4,1,6,5,3,7,8,2]=>[4,8,5,1,6,3,7,2]
[4,2,5,7,6,1,3,8]=>[6,4,1,2,5,7,3,8]
[3,4,7,6,1,2,5,8]=>[6,1,3,4,2,7,5,8]
[4,2,5,7,6,3,8,1]=>[8,4,6,2,5,7,3,1]
[4,1,6,5,2,7,3,8]=>[4,5,6,1,7,3,2,8]
[3,6,5,7,2,1,4,8]=>[2,7,3,1,6,5,4,8]
[3,5,7,6,2,4,1,8]=>[4,6,3,2,5,7,1,8]
[5,4,2,6,3,7,1,8]=>[7,4,5,6,3,2,1,8]
[4,6,5,2,7,3,1,8]=>[3,7,5,4,6,1,2,8]
[4,6,5,2,1,7,3,8]=>[2,5,6,4,7,3,1,8]
[3,5,8,2,1,4,6,7]=>[2,8,3,1,5,4,6,7]
[3,5,8,2,4,6,7,1]=>[7,8,3,2,5,4,6,1]
[5,3,8,2,1,4,6,7]=>[2,8,5,1,3,4,6,7]
[5,3,1,8,2,4,6,7]=>[3,5,8,1,2,4,6,7]
[5,1,3,8,2,4,6,7]=>[5,8,1,2,3,4,6,7]
[1,5,8,4,2,3,6,7]=>[1,4,2,8,5,3,6,7]
[5,8,2,1,4,3,6,7]=>[2,8,4,1,5,3,6,7]
[5,8,2,4,1,6,7,3]=>[4,8,7,2,5,1,6,3]
[5,8,2,4,6,3,1,7]=>[3,6,8,1,5,4,2,7]
[5,8,2,4,3,6,1,7]=>[6,8,4,2,5,3,1,7]
[5,8,1,4,6,2,3,7]=>[8,6,2,1,5,4,3,7]
[1,5,8,4,6,7,2,3]=>[1,7,2,8,5,4,6,3]
[5,1,8,4,6,7,2,3]=>[5,7,2,8,1,4,6,3]
[5,8,2,4,6,3,7,1]=>[7,8,6,2,5,4,3,1]
[3,8,4,6,7,2,1,5]=>[2,7,3,8,1,4,6,5]
[3,8,4,6,7,2,5,1]=>[5,7,3,8,2,4,6,1]
[8,4,3,6,7,2,5,1]=>[5,7,4,8,2,3,6,1]
[8,4,3,6,7,2,1,5]=>[2,7,4,8,1,3,6,5]
[8,6,2,4,5,3,7,1]=>[7,6,5,2,4,8,3,1]
[1,8,6,4,5,7,2,3]=>[1,7,2,6,4,8,5,3]
[8,6,2,4,5,3,1,7]=>[3,5,6,1,4,8,2,7]
[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]
[3,8,1,6,2,4,5,7]=>[8,6,3,2,4,1,5,7]
[3,8,6,2,1,4,5,7]=>[2,6,3,1,4,8,5,7]
[3,8,6,2,4,1,5,7]=>[4,6,3,2,1,8,5,7]
[3,8,6,2,4,5,7,1]=>[7,6,3,2,4,8,5,1]
[8,3,6,2,4,5,1,7]=>[5,6,8,2,4,3,1,7]
[8,1,3,6,2,4,5,7]=>[8,6,1,2,4,3,5,7]
[8,3,6,7,2,1,4,5]=>[2,7,8,1,4,3,6,5]
[3,8,6,7,2,1,4,5]=>[2,7,3,1,4,8,6,5]
[8,2,6,4,5,1,7,3]=>[5,8,7,6,4,2,1,3]
[1,8,4,6,7,5,2,3]=>[1,5,2,7,8,3,6,4]
[8,4,6,2,3,7,5,1]=>[5,7,1,6,8,3,4,2]
[8,4,7,2,1,3,6,5]=>[2,7,1,8,6,3,4,5]
[8,3,1,7,2,4,6,5]=>[3,8,7,1,6,4,2,5]
[2,7,1,6,3,5,8,4]=>[7,2,6,8,3,1,5,4]
[1,8,4,2,6,3,7,5]=>[1,4,8,6,7,3,2,5]
[8,4,2,1,5,3,7,6]=>[2,4,8,5,3,7,1,6]
[8,2,1,4,7,3,6,5]=>[2,8,7,1,6,3,4,5]
[8,4,3,1,5,7,2,6]=>[3,4,8,7,1,2,5,6]
[8,4,2,1,5,7,3,6]=>[2,4,8,7,3,1,5,6]
[1,6,2,5,8,4,7,3]=>[1,6,7,8,2,5,4,3]
[4,7,2,1,6,8,3,5]=>[2,7,8,4,3,1,6,5]
[1,7,4,2,6,8,3,5]=>[1,4,7,8,2,3,6,5]
[3,1,8,4,6,7,2,5]=>[3,7,1,8,2,4,6,5]
[4,3,1,8,5,6,2,7]=>[3,4,6,2,8,5,1,7]
[3,2,1,7,4,5,8,6]=>[2,3,1,7,4,8,5,6]
[4,2,1,7,5,3,8,6]=>[2,4,5,1,7,8,3,6]
[5,2,1,8,6,3,4,7]=>[2,5,6,3,1,8,4,7]
[3,2,7,6,1,4,8,5]=>[6,3,2,1,7,8,5,4]
[3,2,8,6,1,4,7,5]=>[6,3,2,1,8,7,5,4]
[3,8,7,2,1,5,6,4]=>[2,7,3,6,1,5,8,4]
[2,6,8,5,1,7,4,3]=>[5,2,4,8,7,6,3,1]
[3,2,6,8,1,4,7,5]=>[8,3,2,1,7,6,4,5]
[2,1,5,8,7,3,6,4]=>[2,1,7,6,5,3,8,4]
[4,2,1,6,7,3,8,5]=>[2,4,7,1,8,6,3,5]
[3,2,1,6,7,4,8,5]=>[2,3,1,7,8,6,4,5]
[4,3,1,7,8,5,2,6]=>[3,4,5,2,8,1,7,6]
[3,1,5,2,6,8,7,4]=>[3,5,1,7,2,6,8,4]
[2,6,5,1,7,4,3,8]=>[5,2,4,6,7,3,1,8]
[7,2,3,1,4,8,5,6]=>[3,7,2,1,8,5,4,6]
[5,6,8,2,4,3,7,1]=>[7,8,4,2,5,6,3,1]
[6,8,5,1,4,2,7,3]=>[5,4,8,3,7,6,2,1]
[3,5,8,6,4,1,7,2]=>[4,6,3,8,5,7,1,2]
[5,1,7,6,4,2,3,8]=>[5,4,2,6,1,7,3,8]
[1,4,3,6,8,2,7,5]=>[1,8,4,3,7,6,2,5]
[5,1,8,6,4,2,3,7]=>[5,4,2,6,1,8,3,7]
[2,8,5,3,6,4,7,1]=>[7,2,5,8,6,4,3,1]
[1,2,8,6,4,7,3,5]=>[1,2,7,6,3,8,4,5]
[4,2,3,6,7,1,5,8]=>[7,4,2,3,1,6,5,8]
[5,3,2,7,8,6,4,1]=>[4,3,6,5,1,8,7,2]
[4,2,7,8,3,5,6,1]=>[6,4,8,2,3,5,7,1]
[1,4,8,7,2,5,6,3]=>[1,7,6,4,2,5,8,3]
[2,8,3,7,1,4,6,5]=>[7,2,8,1,6,4,3,5]
[2,8,7,1,5,3,6,4]=>[7,2,5,6,1,3,8,4]
[5,4,7,6,1,2,8,3]=>[6,1,7,5,4,8,3,2]
[3,1,7,4,2,5,6,8]=>[3,4,1,7,2,5,6,8]
[1,7,2,8,3,5,6,4]=>[1,7,8,6,3,5,2,4]
[2,8,7,3,5,4,6,1]=>[6,2,7,5,3,4,8,1]
[2,8,4,5,6,3,1,7]=>[3,2,6,8,4,5,1,7]
[7,3,5,6,4,2,8,1]=>[8,4,6,7,2,5,3,1]
[1,4,6,7,8,5,2,3]=>[1,5,2,4,8,6,7,3]
[3,8,4,2,7,6,5,1]=>[5,4,3,6,7,8,2,1]
[5,1,6,4,3,7,2,8]=>[5,7,4,6,1,3,2,8]
[1,2,8,7,3,6,4,5]=>[1,2,7,6,4,3,8,5]
[7,3,2,6,4,1,8,5]=>[4,3,6,7,8,1,2,5]
[4,8,3,7,1,5,6,2]=>[7,6,8,4,1,5,3,2]
[4,8,3,2,7,5,6,1]=>[6,3,8,4,7,5,2,1]
[2,4,3,7,1,5,6,8]=>[7,2,4,3,1,5,6,8]
[3,2,4,8,7,5,6,1]=>[6,3,2,4,7,5,8,1]
[2,6,8,1,5,3,4,7]=>[8,2,5,3,1,6,4,7]
[3,2,5,6,8,1,4,7]=>[8,3,2,1,5,6,4,7]
[3,8,1,6,4,5,2,7]=>[8,5,3,6,4,1,2,7]
[8,1,3,6,5,4,2,7]=>[8,4,1,5,6,3,2,7]
[7,4,3,6,2,1,8,5]=>[2,6,4,7,8,3,1,5]
[1,2,4,8,6,3,7,5]=>[1,2,6,4,8,7,5,3]
[7,2,1,5,3,4,8,6]=>[2,7,5,3,1,8,4,6]
[5,7,2,3,1,4,8,6]=>[3,7,2,1,5,8,4,6]
[7,1,5,2,4,6,8,3]=>[7,5,8,2,1,4,6,3]
[8,4,2,7,3,5,6,1]=>[6,4,8,7,2,5,3,1]
[1,8,6,4,7,5,3,2]=>[1,3,5,7,6,8,2,4]
[7,4,1,5,8,6,3,2]=>[4,3,7,6,2,8,5,1]
[4,5,8,7,3,1,2,6]=>[3,1,7,4,5,2,8,6]
[1,3,8,7,6,4,2,5]=>[1,4,3,6,2,7,8,5]
[2,8,5,1,7,4,6,3]=>[5,2,8,6,7,1,3,4]
[1,8,6,4,7,5,2,3]=>[1,5,2,7,6,8,3,4]
[2,7,4,6,3,8,5,1]=>[5,2,8,6,7,1,4,3]
[1,2,8,6,4,7,5,3]=>[1,2,5,7,6,8,3,4]
[4,1,8,6,3,7,5,2]=>[4,5,7,1,6,8,2,3]
[7,1,8,4,3,2,5,6]=>[7,3,4,8,2,5,1,6]
[1,7,5,4,8,2,3,6]=>[1,8,2,5,7,3,4,6]
[3,5,1,7,4,2,6,8]=>[5,4,3,7,1,2,6,8]
[7,4,1,6,3,2,5,8]=>[4,3,7,6,1,2,5,8]
[8,4,3,1,6,2,5,7]=>[3,4,8,6,2,1,5,7]
[1,6,5,4,2,8,3,7]=>[1,4,5,6,8,2,3,7]
[7,5,4,3,8,1,6,2]=>[8,6,4,5,7,1,3,2]
[8,5,4,3,7,1,6,2]=>[7,6,4,5,8,1,3,2]
[5,7,2,8,6,3,1,4]=>[3,6,8,1,5,7,2,4]
[1,7,2,8,6,4,3,5]=>[1,7,4,6,3,8,2,5]
[5,2,1,7,8,3,6,4]=>[2,5,8,6,1,3,7,4]
[8,4,3,1,5,2,7,6]=>[3,4,8,5,1,7,2,6]
[6,5,4,2,7,3,8,1]=>[8,4,5,6,7,2,3,1]
[6,5,4,2,7,1,8,3]=>[7,4,5,6,8,2,1,3]
[5,3,1,6,2,8,7,4]=>[3,5,6,7,2,1,8,4]
[3,5,4,1,7,8,2,6]=>[4,5,3,8,2,1,7,6]
[7,5,4,3,1,6,8,2]=>[3,4,5,7,8,2,6,1]
[6,4,2,1,5,7,3,8]=>[2,4,6,7,3,5,1,8]
[3,1,5,8,7,2,4,6]=>[3,7,1,2,5,4,8,6]
[3,2,5,7,8,4,6,1]=>[6,3,2,8,5,4,7,1]
[5,3,7,4,2,6,8,1]=>[8,4,7,5,2,3,6,1]
[5,3,7,4,2,6,1,8]=>[6,4,7,5,2,3,1,8]
[5,3,8,4,2,1,6,7]=>[2,4,8,5,1,3,6,7]
[5,2,8,4,3,1,6,7]=>[3,4,8,5,2,1,6,7]
[5,1,8,4,3,2,6,7]=>[5,3,4,8,1,2,6,7]
[5,2,7,4,3,6,1,8]=>[6,5,4,7,2,3,1,8]
[5,2,7,4,3,6,8,1]=>[8,5,4,7,2,3,6,1]
[5,3,7,4,1,6,8,2]=>[4,7,8,5,1,2,6,3]
[3,1,5,7,8,4,6,2]=>[3,6,1,8,5,4,7,2]
[3,1,5,7,8,4,2,6]=>[3,4,1,8,5,2,7,6]
[5,2,7,4,1,3,8,6]=>[4,7,2,5,1,8,3,6]
[6,2,3,7,4,8,5,1]=>[5,8,1,6,7,4,3,2]
[6,2,3,7,4,8,1,5]=>[8,6,2,7,1,3,4,5]
[6,2,3,7,4,5,1,8]=>[5,6,2,7,4,3,1,8]
[6,1,3,7,4,5,8,2]=>[6,8,1,7,4,3,5,2]
[1,2,8,6,4,3,5,7]=>[1,2,4,6,3,8,5,7]
[6,1,3,7,4,5,2,8]=>[6,5,1,7,4,3,2,8]
[6,5,8,1,2,4,3,7]=>[8,1,4,2,6,5,3,7]
[3,5,8,7,2,1,4,6]=>[2,7,3,1,5,4,8,6]
[1,8,6,3,5,4,2,7]=>[1,4,5,6,2,8,3,7]
[5,6,8,2,1,4,3,7]=>[2,8,4,1,5,6,3,7]
[2,6,1,8,5,3,4,7]=>[6,2,5,3,8,1,4,7]
[4,7,2,8,5,1,3,6]=>[5,8,2,4,7,3,1,6]
[4,5,7,8,1,6,3,2]=>[8,3,6,4,5,1,7,2]
[2,5,7,8,4,6,3,1]=>[3,2,6,8,5,4,7,1]
[1,8,6,7,5,2,4,3]=>[1,5,4,2,7,8,6,3]
[1,8,2,7,5,3,4,6]=>[1,8,5,3,7,4,2,6]
[2,5,4,1,8,6,7,3]=>[4,2,5,7,3,8,6,1]
[7,4,5,8,2,6,1,3]=>[6,8,1,7,4,2,5,3]
[2,4,1,5,8,6,7,3]=>[4,2,7,1,5,8,6,3]
[5,4,2,1,8,6,7,3]=>[2,4,5,7,3,8,6,1]
[4,7,5,8,1,6,2,3]=>[8,6,2,4,7,1,5,3]
[5,6,8,3,4,2,7,1]=>[7,4,8,3,5,6,2,1]
[4,1,5,3,8,6,7,2]=>[4,7,5,1,3,8,6,2]
[2,3,5,1,8,6,7,4]=>[5,2,3,7,1,8,6,4]
[7,3,4,8,2,6,1,5]=>[6,8,7,3,1,2,4,5]
[7,4,2,8,3,6,1,5]=>[6,4,7,8,1,2,3,5]
[3,5,2,1,8,6,7,4]=>[2,5,3,7,1,8,6,4]
[7,3,5,1,4,8,6,2]=>[5,6,8,1,2,7,4,3]
[7,1,3,2,4,5,6,8]=>[7,3,1,2,4,5,6,8]
[8,5,4,6,1,7,2,3]=>[6,7,2,5,8,4,1,3]
[3,8,7,1,4,2,5,6]=>[7,4,3,1,2,5,8,6]
[5,1,7,8,2,4,3,6]=>[5,8,4,2,1,3,7,6]
[8,5,4,6,1,7,3,2]=>[6,3,7,5,8,4,1,2]
[5,3,2,8,4,1,7,6]=>[4,3,8,5,1,7,2,6]
[5,3,2,1,4,6,8,7]=>[2,3,5,1,4,6,8,7]
[5,3,2,4,8,1,6,7]=>[8,3,5,2,4,1,6,7]
[5,3,2,4,8,6,1,7]=>[6,3,5,2,4,8,1,7]
[5,3,2,4,7,1,8,6]=>[7,3,5,2,4,8,1,6]
[8,4,3,5,1,7,6,2]=>[5,6,4,7,2,8,1,3]
[5,3,2,8,4,6,7,1]=>[7,3,5,8,2,4,6,1]
[4,7,8,6,3,2,5,1]=>[5,3,6,4,2,8,7,1]
[8,4,5,3,7,1,6,2]=>[7,6,5,8,4,1,3,2]
[5,3,1,7,2,4,8,6]=>[3,5,7,1,2,8,4,6]
[8,4,5,3,7,1,2,6]=>[7,1,5,8,4,2,3,6]
[5,3,2,8,4,7,1,6]=>[7,3,5,8,2,1,4,6]
[4,8,7,1,5,3,6,2]=>[7,6,5,4,1,3,8,2]
[4,8,1,7,3,5,6,2]=>[8,6,7,4,3,5,1,2]
[5,3,2,4,8,7,1,6]=>[7,3,5,2,4,1,8,6]
[5,3,2,4,6,8,1,7]=>[8,3,5,2,4,6,1,7]
[5,1,2,8,4,7,3,6]=>[5,1,7,8,2,3,4,6]
[5,8,1,7,4,6,3,2]=>[8,3,6,7,5,4,1,2]
[2,7,6,3,1,4,8,5]=>[3,2,6,1,7,8,5,4]
[3,7,4,5,6,8,2,1]=>[2,8,3,7,4,5,6,1]
[8,7,1,4,2,5,3,6]=>[7,4,5,1,2,3,8,6]
[4,6,8,3,7,1,5,2]=>[7,5,8,4,1,6,3,2]
[4,7,3,5,8,1,6,2]=>[8,6,7,4,3,1,5,2]
[8,4,3,5,7,1,6,2]=>[7,6,4,8,3,1,5,2]
[1,7,6,4,2,5,3,8]=>[1,4,6,5,3,7,2,8]
[8,7,1,2,5,6,3,4]=>[7,1,6,3,2,5,8,4]
[8,6,1,5,2,7,3,4]=>[6,5,8,1,3,7,2,4]
[1,2,6,5,7,8,3,4]=>[1,2,8,3,6,5,7,4]
[7,6,4,2,8,3,1,5]=>[3,8,4,6,2,7,1,5]
[8,5,2,4,3,7,6,1]=>[6,5,4,1,7,8,3,2]
[8,5,2,4,3,7,1,6]=>[7,5,4,2,8,1,3,6]
[8,5,1,4,3,7,6,2]=>[5,8,4,2,6,7,3,1]
[8,5,1,4,3,2,7,6]=>[5,3,4,1,8,7,2,6]
[8,5,1,4,3,2,6,7]=>[5,3,4,1,8,2,6,7]
[8,5,1,4,3,6,2,7]=>[5,8,4,2,6,3,1,7]
[8,5,1,4,3,6,7,2]=>[5,8,4,2,7,3,6,1]
[7,5,4,1,3,6,8,2]=>[4,5,1,7,8,3,6,2]
[7,5,4,1,3,6,2,8]=>[4,5,1,7,6,3,2,8]
[1,2,6,4,8,3,5,7]=>[1,2,8,6,3,4,5,7]
[6,5,4,3,1,7,2,8]=>[3,4,5,6,7,2,1,8]
[8,5,2,4,3,6,7,1]=>[7,5,4,2,8,3,6,1]
[3,6,7,2,5,1,8,4]=>[5,7,3,8,2,6,1,4]
[2,6,5,7,1,4,8,3]=>[7,2,8,1,6,5,4,3]
[3,5,1,7,8,4,6,2]=>[5,6,3,8,1,4,7,2]
[1,5,2,4,6,8,7,3]=>[1,5,7,2,4,6,8,3]
[8,1,2,4,7,6,5,3]=>[8,1,5,2,6,7,4,3]
[3,4,1,8,6,7,5,2]=>[4,5,3,1,7,8,6,2]
[4,3,8,5,1,7,6,2]=>[5,8,4,3,6,7,2,1]
[6,1,3,2,8,5,7,4]=>[6,3,1,7,8,2,5,4]
[8,5,3,2,4,7,1,6]=>[7,3,5,2,8,1,4,6]
[6,7,4,2,5,8,3,1]=>[3,8,4,7,1,6,5,2]
[8,5,4,2,6,3,1,7]=>[3,6,4,5,8,1,2,7]
[8,5,2,1,6,4,3,7]=>[2,5,4,8,6,3,1,7]
[8,4,6,5,1,3,2,7]=>[5,3,1,6,8,2,4,7]
[1,3,8,4,7,5,2,6]=>[1,5,3,7,8,4,2,6]
[5,3,7,1,4,6,8,2]=>[7,8,5,1,3,4,6,2]
[5,7,2,6,1,4,8,3]=>[6,7,8,1,5,2,4,3]
[3,8,5,7,6,1,2,4]=>[6,1,3,2,7,8,4,5]
[8,4,7,5,2,1,3,6]=>[2,5,1,7,8,4,3,6]
[3,8,6,4,7,2,1,5]=>[2,7,3,6,1,8,4,5]
[5,2,7,4,6,8,3,1]=>[3,8,5,7,1,4,6,2]
[4,8,6,3,7,2,1,5]=>[2,7,6,4,1,8,3,5]
[2,8,3,1,7,6,4,5]=>[3,2,8,6,4,7,1,5]
[2,5,6,4,8,1,7,3]=>[8,2,7,6,5,4,1,3]
[5,7,2,1,6,8,3,4]=>[2,7,8,3,5,1,6,4]
[4,7,8,5,1,6,2,3]=>[5,8,1,4,6,2,7,3]
[4,5,2,1,6,7,8,3]=>[2,5,8,4,1,6,7,3]
[4,5,6,3,1,7,8,2]=>[3,6,8,4,5,2,7,1]
[3,5,6,7,4,1,8,2]=>[4,7,3,8,5,6,2,1]
[3,5,1,4,2,8,7,6]=>[5,4,3,1,2,7,8,6]
[3,5,1,4,2,6,8,7]=>[5,4,3,1,2,6,8,7]
[3,5,1,4,2,6,7,8]=>[5,4,3,1,2,6,7,8]
[1,3,8,4,6,2,5,7]=>[1,6,3,8,2,4,5,7]
[1,4,7,5,6,2,3,8]=>[1,6,2,4,7,5,3,8]
[1,7,3,6,4,5,2,8]=>[1,5,7,6,4,3,2,8]
[1,8,4,2,3,7,5,6]=>[1,4,2,8,7,5,3,6]
[1,5,2,3,8,6,7,4]=>[1,5,2,7,3,8,6,4]
[1,6,5,3,7,4,2,8]=>[1,4,7,5,6,2,3,8]
[1,5,2,7,6,4,3,8]=>[1,5,4,6,2,7,3,8]
[1,4,8,3,2,7,6,5]=>[1,3,8,4,6,7,2,5]
[1,3,7,6,5,2,4,8]=>[1,5,3,2,6,7,4,8]
[1,5,3,8,4,2,6,7]=>[1,4,8,5,2,3,6,7]
[1,8,2,4,7,5,3,6]=>[1,8,5,2,7,3,4,6]
[1,7,5,2,4,3,6,8]=>[1,5,4,2,7,3,6,8]
[1,8,6,5,2,4,3,7]=>[1,5,4,2,6,8,3,7]
[1,6,5,4,2,7,3,8]=>[1,4,5,6,7,2,3,8]
[1,7,3,2,6,4,5,8]=>[1,3,7,6,4,2,5,8]
[1,2,8,6,7,5,4,3]=>[1,2,4,5,7,8,6,3]
[1,3,8,6,5,4,2,7]=>[1,4,3,5,6,8,2,7]
[1,7,5,4,3,2,6,8]=>[1,3,4,5,7,2,6,8]
[3,8,5,7,4,6,2,1]=>[2,6,3,7,8,4,5,1]
[8,6,2,4,5,7,1,3]=>[7,6,1,2,4,8,5,3]
[3,8,7,4,5,2,6,1]=>[6,5,3,7,4,2,8,1]
[6,5,2,4,1,3,8,7]=>[4,5,1,2,6,3,8,7]
[7,6,3,2,5,1,8,4]=>[5,3,6,7,4,8,1,2]
[4,2,7,8,3,6,1,5]=>[6,4,8,2,1,3,7,5]
[4,6,3,7,5,8,2,1]=>[2,8,6,4,7,3,5,1]
[4,2,5,7,8,6,3,1]=>[3,6,4,1,5,8,7,2]
[3,6,8,4,5,2,1,7]=>[2,5,3,8,4,6,1,7]
[8,2,5,7,3,6,1,4]=>[6,8,7,1,2,3,5,4]
[4,2,5,8,7,6,3,1]=>[3,6,4,1,5,7,8,2]
[6,7,2,4,5,1,8,3]=>[5,7,8,2,4,6,1,3]
[5,2,7,8,3,6,1,4]=>[6,5,8,1,2,3,7,4]
[7,2,8,3,1,6,4,5]=>[3,8,7,6,4,2,1,5]
[7,2,3,4,1,8,5,6]=>[4,7,2,3,8,5,1,6]
[7,1,3,8,6,2,5,4]=>[7,6,1,5,2,8,3,4]
[2,4,7,8,1,3,6,5]=>[8,2,1,4,6,3,7,5]
[2,7,3,8,6,1,5,4]=>[6,2,8,5,3,7,1,4]
[8,5,1,2,3,7,4,6]=>[5,1,2,8,7,3,4,6]
[8,2,3,5,1,4,7,6]=>[5,8,2,1,3,7,4,6]
[6,2,1,3,8,5,4,7]=>[2,6,1,5,8,3,4,7]
[8,4,2,3,1,7,6,5]=>[3,4,2,8,6,7,1,5]
[5,2,8,3,1,4,7,6]=>[3,8,5,2,1,7,4,6]
[8,7,2,5,1,4,3,6]=>[5,7,4,1,2,3,8,6]
[8,5,3,4,1,2,7,6]=>[4,1,5,3,8,7,2,6]
[8,3,5,4,1,2,7,6]=>[4,1,5,8,2,7,3,6]
[8,2,4,3,1,7,6,5]=>[3,4,8,1,6,7,2,5]
[8,4,1,3,2,7,6,5]=>[4,3,1,8,6,7,2,5]
[6,2,8,4,1,3,7,5]=>[4,8,2,6,7,1,3,5]
[6,3,5,2,8,7,1,4]=>[7,5,6,1,3,2,8,4]
[3,1,6,2,8,5,4,7]=>[3,6,1,5,8,2,4,7]
[8,1,3,5,2,4,7,6]=>[8,5,1,2,3,7,4,6]
[8,3,5,1,2,4,7,6]=>[5,1,8,2,3,7,4,6]
[8,6,5,1,7,4,2,3]=>[5,4,2,6,8,7,1,3]
[8,7,4,5,1,2,6,3]=>[5,1,6,7,4,2,8,3]
[5,8,3,1,2,7,4,6]=>[3,1,8,7,5,4,2,6]
[3,8,6,2,7,1,5,4]=>[7,6,3,5,1,8,2,4]
[8,4,3,5,1,2,7,6]=>[5,1,4,8,3,7,2,6]
[3,2,8,5,1,4,7,6]=>[5,3,2,1,8,7,4,6]
[3,4,8,2,1,7,6,5]=>[2,8,3,4,6,7,1,5]
[8,3,4,1,7,2,6,5]=>[4,7,8,3,6,2,1,5]
[8,3,4,2,1,7,6,5]=>[2,4,8,3,6,7,1,5]
[3,8,4,2,1,7,6,5]=>[2,4,3,8,6,7,1,5]
[8,4,5,2,7,1,6,3]=>[7,5,6,8,4,1,2,3]
[8,3,1,7,5,6,2,4]=>[3,8,6,1,7,5,2,4]
[8,4,1,7,5,2,6,3]=>[4,8,5,7,6,1,2,3]
[8,4,2,7,5,3,1,6]=>[3,5,4,7,8,1,2,6]
[8,4,3,7,5,1,2,6]=>[5,1,4,7,8,3,2,6]
[8,5,7,6,4,3,1,2]=>[3,1,4,6,7,8,2,5]
[8,4,7,6,5,2,1,3]=>[2,5,1,6,7,8,4,3]
[8,3,1,4,7,6,2,5]=>[3,8,6,2,1,7,4,5]
[8,3,5,7,6,2,4,1]=>[4,6,7,3,2,8,5,1]
[1,4,6,8,2,5,7,3]=>[1,8,7,4,2,6,5,3]
[4,2,6,8,1,5,7,3]=>[8,4,7,2,1,6,5,3]
[3,6,2,4,8,1,7,5]=>[8,6,3,2,7,4,1,5]
[7,3,8,2,4,6,1,5]=>[6,8,7,2,1,4,3,5]
[4,2,5,8,3,6,1,7]=>[6,4,8,2,5,3,1,7]
[5,2,1,6,8,3,7,4]=>[2,5,8,7,1,6,3,4]
[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]
[4,5,3,1,8,2,6,7]=>[3,5,8,4,2,1,6,7]
[3,5,8,1,4,6,2,7]=>[8,6,3,1,5,4,2,7]
[5,1,7,8,3,6,2,4]=>[5,6,8,2,1,3,7,4]
[7,4,8,3,5,2,1,6]=>[2,5,8,7,3,1,4,6]
[1,6,7,3,8,4,2,5]=>[1,4,8,7,3,6,2,5]
[7,8,3,1,4,5,2,6]=>[3,8,5,2,4,1,7,6]
[7,2,8,4,1,3,5,6]=>[4,8,2,7,3,5,1,6]
[6,1,7,3,2,8,4,5]=>[6,3,7,8,4,1,2,5]
[6,2,1,7,3,8,4,5]=>[2,6,7,8,4,1,3,5]
[5,8,2,1,3,4,6,7]=>[2,8,1,3,5,4,6,7]
[7,3,1,8,2,4,6,5]=>[3,7,8,1,6,4,2,5]
[4,2,5,1,8,3,6,7]=>[5,4,8,2,1,3,6,7]
[7,4,2,8,3,1,5,6]=>[3,8,4,7,2,5,1,6]
[7,4,2,8,3,5,1,6]=>[5,4,7,8,2,1,3,6]
[7,3,8,2,1,4,6,5]=>[2,8,7,1,6,4,3,5]
[4,7,8,2,1,5,6,3]=>[2,8,6,4,1,5,7,3]
[6,7,2,8,5,1,4,3]=>[5,8,4,2,7,6,1,3]
[6,7,8,5,2,1,4,3]=>[2,5,4,1,8,6,7,3]
[4,7,8,2,1,5,3,6]=>[2,8,5,4,1,3,7,6]
[4,1,7,8,2,5,3,6]=>[4,8,5,1,2,3,7,6]
[1,6,2,7,8,4,3,5]=>[1,6,4,8,3,2,7,5]
[6,7,1,8,4,3,2,5]=>[7,3,4,8,2,6,1,5]
[8,2,1,5,6,3,4,7]=>[2,8,6,3,1,5,4,7]
[7,3,4,1,8,6,2,5]=>[4,6,8,2,3,7,1,5]
[4,7,6,3,5,8,2,1]=>[2,8,6,4,3,7,5,1]
[3,7,6,5,2,4,8,1]=>[8,5,3,2,6,7,4,1]
[1,4,7,8,6,2,5,3]=>[1,6,5,4,2,8,7,3]
[1,6,7,8,3,2,5,4]=>[1,3,8,5,2,6,7,4]
[1,3,2,7,8,4,6,5]=>[1,3,2,8,6,4,7,5]
[2,7,4,8,5,1,3,6]=>[5,2,1,8,7,4,3,6]
[2,1,5,3,4,8,7,6]=>[2,1,5,3,4,7,8,6]
[6,8,2,3,5,7,4,1]=>[4,7,1,8,3,6,5,2]
[3,5,4,1,2,6,8,7]=>[4,1,3,5,2,6,8,7]
[6,2,4,3,8,7,1,5]=>[7,6,4,2,1,3,8,5]
[5,6,1,3,8,7,2,4]=>[6,7,1,2,5,3,8,4]
[5,7,1,4,6,2,8,3]=>[7,6,8,1,5,4,2,3]
[8,5,1,4,7,6,2,3]=>[5,8,1,2,6,7,4,3]
[5,6,4,2,7,1,3,8]=>[7,4,1,6,5,2,3,8]
[4,5,7,1,6,2,3,8]=>[7,6,2,4,5,1,3,8]
[7,4,5,2,8,6,1,3]=>[6,5,1,8,3,7,2,4]
[6,3,1,4,7,8,2,5]=>[3,6,8,2,1,4,7,5]
[8,2,4,1,5,6,3,7]=>[4,8,6,2,1,5,3,7]
[8,7,1,5,4,6,3,2]=>[7,3,6,5,1,4,8,2]
[4,5,7,1,8,6,2,3]=>[7,6,2,4,5,8,1,3]
[2,5,7,3,8,1,6,4]=>[8,2,7,6,5,1,3,4]
[4,3,8,6,5,2,7,1]=>[7,5,4,3,6,8,2,1]
[2,3,8,6,5,1,7,4]=>[5,2,3,6,8,7,1,4]
[8,4,1,6,5,7,2,3]=>[4,8,1,7,6,2,5,3]
[4,1,8,6,5,7,2,3]=>[4,7,2,1,6,8,5,3]
[8,1,4,7,5,6,2,3]=>[8,6,2,1,7,5,4,3]
[8,7,4,6,5,1,2,3]=>[5,1,2,6,7,3,8,4]
[2,1,3,6,8,4,7,5]=>[2,1,3,8,7,6,4,5]
[7,2,3,6,5,8,1,4]=>[8,7,2,1,6,3,5,4]
[5,2,7,3,1,8,6,4]=>[3,7,5,6,1,8,2,4]
[5,4,7,3,1,2,6,8]=>[3,1,7,5,4,2,6,8]
[3,4,1,6,5,2,7,8]=>[4,5,3,1,6,2,7,8]
[7,6,2,1,5,4,3,8]=>[2,6,4,5,1,7,3,8]
[3,5,2,6,7,4,1,8]=>[4,7,3,5,1,6,2,8]
[4,5,7,2,6,1,3,8]=>[6,7,1,4,5,2,3,8]
[2,7,1,8,5,4,3,6]=>[7,2,4,5,8,3,1,6]
[7,1,2,8,5,4,3,6]=>[7,1,4,5,8,3,2,6]
[8,1,2,7,6,4,3,5]=>[8,1,4,6,3,7,2,5]
[3,1,2,6,5,7,8,4]=>[3,1,2,8,6,5,7,4]
[7,3,2,6,1,4,8,5]=>[6,3,7,1,8,2,4,5]
[7,3,5,6,2,4,8,1]=>[8,6,7,2,3,5,4,1]
[8,3,4,6,5,2,1,7]=>[2,5,6,1,8,4,3,7]
[8,1,2,5,7,4,3,6]=>[8,1,4,7,2,3,5,6]
[3,2,5,6,8,4,1,7]=>[4,3,2,8,5,6,1,7]
[8,2,6,1,5,4,3,7]=>[6,8,4,5,1,2,3,7]
[6,2,1,8,5,4,3,7]=>[2,6,4,5,8,1,3,7]
[7,2,6,8,5,4,3,1]=>[3,4,5,8,7,1,6,2]
[7,6,8,2,5,4,3,1]=>[3,4,5,8,2,7,6,1]
[3,5,8,6,2,4,1,7]=>[4,6,3,2,5,8,1,7]
[8,1,5,7,2,4,3,6]=>[8,7,4,2,1,3,5,6]
[3,7,5,6,2,4,1,8]=>[4,6,3,2,7,5,1,8]
[4,2,5,1,3,6,8,7]=>[5,4,1,2,3,6,8,7]
[3,7,1,5,6,2,4,8]=>[7,6,3,2,1,5,4,8]
[2,7,1,5,6,8,3,4]=>[7,2,8,3,1,5,6,4]
[7,2,5,8,6,3,4,1]=>[4,7,6,3,2,8,5,1]
[5,8,2,6,7,3,4,1]=>[4,8,7,3,5,2,6,1]
[3,2,6,7,4,5,8,1]=>[8,3,2,7,4,6,5,1]
[2,3,6,7,8,4,5,1]=>[5,2,3,8,4,6,7,1]
[7,2,4,3,8,6,5,1]=>[5,6,4,2,8,7,3,1]
[7,3,4,2,8,6,1,5]=>[6,4,8,1,3,7,2,5]
[5,3,4,2,7,1,8,6]=>[7,4,5,3,2,8,1,6]
[2,4,5,3,7,8,1,6]=>[8,2,5,4,3,1,7,6]
[3,6,4,8,1,2,7,5]=>[8,1,3,6,7,4,2,5]
[3,7,1,4,8,2,6,5]=>[7,8,3,1,6,2,4,5]
[7,6,1,2,8,3,4,5]=>[6,1,7,2,4,8,3,5]
[5,6,8,2,1,3,4,7]=>[2,8,1,3,5,6,4,7]
[6,5,2,1,3,8,4,7]=>[2,5,1,6,8,4,3,7]
[2,4,3,5,6,8,1,7]=>[8,2,4,3,5,6,1,7]
[6,3,2,4,8,5,1,7]=>[5,3,8,1,6,4,2,7]
[6,3,1,2,7,8,4,5]=>[3,1,6,8,4,2,7,5]
[6,3,1,7,4,8,2,5]=>[3,6,8,7,1,2,4,5]
[7,4,6,2,8,1,3,5]=>[8,6,1,7,3,4,2,5]
[7,4,6,1,3,8,2,5]=>[6,8,1,7,2,4,3,5]
[8,4,7,1,2,5,3,6]=>[7,1,5,8,2,3,4,6]
[7,4,6,1,2,8,5,3]=>[6,1,5,8,7,3,2,4]
[7,4,6,1,8,5,2,3]=>[6,5,2,8,7,3,1,4]
[8,5,6,7,2,1,4,3]=>[2,7,4,1,8,5,6,3]
[8,5,6,7,2,4,1,3]=>[4,7,1,2,8,5,6,3]
[8,5,6,7,1,2,4,3]=>[7,1,4,2,8,5,6,3]
[5,1,3,7,6,2,8,4]=>[5,6,1,7,3,8,4,2]
[6,1,3,5,7,4,8,2]=>[6,8,1,7,3,5,4,2]
[7,1,3,6,5,4,8,2]=>[7,8,1,5,6,3,4,2]
[2,5,6,3,8,4,7,1]=>[7,2,6,8,5,3,4,1]
[4,3,5,1,7,2,6,8]=>[5,7,4,3,1,2,6,8]
[6,4,8,1,5,3,2,7]=>[8,3,5,6,1,4,2,7]
[4,8,3,1,5,2,6,7]=>[3,8,5,4,2,1,6,7]
[3,7,6,2,5,1,4,8]=>[5,6,3,1,2,7,4,8]
[6,5,4,1,2,7,3,8]=>[4,1,5,6,7,2,3,8]
[6,8,4,2,3,1,7,5]=>[3,4,2,8,7,6,1,5]
[1,7,6,2,8,3,5,4]=>[1,6,7,5,2,8,3,4]
[7,2,6,3,1,4,8,5]=>[3,6,7,2,8,1,4,5]
[7,5,1,3,4,8,2,6]=>[5,7,2,3,8,1,4,6]
[7,1,5,6,3,2,8,4]=>[7,3,6,8,1,5,2,4]
[2,4,1,7,6,5,3,8]=>[4,2,5,1,6,7,3,8]
[4,1,3,8,5,2,7,6]=>[4,5,1,3,8,7,2,6]
[1,8,5,4,7,2,3,6]=>[1,7,2,5,8,3,4,6]
[8,2,5,6,4,3,1,7]=>[3,4,6,8,2,5,1,7]
[2,4,3,8,6,5,1,7]=>[5,2,4,3,6,8,1,7]
[3,1,4,5,8,6,2,7]=>[3,6,1,4,5,8,2,7]
[1,8,3,2,5,4,6,7]=>[1,3,8,5,2,4,6,7]
[5,1,7,3,2,8,4,6]=>[5,3,7,8,1,4,2,6]
[5,7,8,1,3,2,4,6]=>[8,3,1,2,5,4,7,6]
[8,2,4,1,6,7,3,5]=>[4,8,7,2,3,1,6,5]
[4,1,6,7,3,5,8,2]=>[4,8,7,1,3,6,5,2]
[8,7,3,6,2,4,1,5]=>[4,6,7,2,1,3,8,5]
[1,7,4,8,3,6,2,5]=>[1,6,8,7,2,3,4,5]
[7,8,6,1,3,5,4,2]=>[6,4,1,5,3,8,7,2]
[1,7,5,8,4,3,2,6]=>[1,3,4,8,7,2,5,6]
[6,3,1,2,7,8,5,4]=>[3,1,6,5,8,2,7,4]
[8,2,7,5,3,4,1,6]=>[4,8,5,3,7,1,2,6]
[6,3,1,2,8,7,5,4]=>[3,1,6,5,7,2,8,4]
[8,4,7,2,6,3,1,5]=>[3,6,7,8,2,1,4,5]
[1,2,5,7,8,3,6,4]=>[1,2,8,6,5,3,7,4]
[7,6,3,4,2,1,8,5]=>[2,4,6,3,7,8,5,1]
[8,4,6,2,3,7,1,5]=>[7,6,2,8,1,4,3,5]
[2,3,5,8,7,1,4,6]=>[7,2,3,1,5,4,8,6]
[3,4,5,8,1,7,2,6]=>[8,7,3,4,5,2,1,6]
[1,8,4,5,3,7,2,6]=>[1,7,5,8,4,2,3,6]
[6,3,4,2,7,8,1,5]=>[8,4,6,3,1,2,7,5]
[6,3,4,2,7,1,5,8]=>[7,4,6,3,1,2,5,8]
[5,6,3,7,8,2,1,4]=>[2,8,6,1,5,3,7,4]
[6,8,3,4,7,2,1,5]=>[2,7,8,3,1,6,4,5]
[8,6,3,4,7,2,1,5]=>[2,7,6,3,1,8,4,5]
[4,3,8,6,7,5,1,2]=>[5,1,4,3,7,8,6,2]
[4,5,6,2,7,8,3,1]=>[3,8,6,4,5,1,7,2]
[4,5,6,2,7,1,8,3]=>[7,6,8,4,5,2,1,3]
[4,5,6,2,1,7,8,3]=>[2,6,8,4,5,1,7,3]
[4,5,6,2,1,7,3,8]=>[2,6,7,4,5,1,3,8]
[5,8,6,2,1,7,3,4]=>[2,6,8,1,5,7,3,4]
[8,6,3,4,1,7,2,5]=>[4,7,6,3,2,8,1,5]
[5,6,3,1,7,2,4,8]=>[3,6,7,1,5,2,4,8]
[8,4,6,7,2,1,3,5]=>[2,7,1,8,3,4,6,5]
[6,8,7,2,3,1,4,5]=>[3,7,2,1,4,6,8,5]
[2,5,6,7,4,1,3,8]=>[4,2,1,7,5,6,3,8]
[5,3,6,7,1,4,8,2]=>[7,8,5,1,3,6,4,2]
[4,5,1,6,7,3,2,8]=>[5,3,7,4,1,6,2,8]
[5,6,1,8,7,4,2,3]=>[6,4,2,7,5,1,8,3]
[6,7,3,1,2,5,4,8]=>[3,1,7,5,2,6,4,8]
[3,7,4,8,1,5,6,2]=>[8,6,3,7,1,5,4,2]
[2,5,1,8,3,7,4,6]=>[5,2,8,7,1,4,3,6]
[2,3,8,6,5,7,1,4]=>[7,2,3,1,6,8,5,4]
[6,3,8,4,1,5,7,2]=>[4,8,7,6,2,1,5,3]
[6,3,4,1,7,5,8,2]=>[4,8,6,3,7,1,5,2]
[6,7,2,5,8,3,1,4]=>[3,8,7,2,1,6,5,4]
[5,7,2,1,3,8,4,6]=>[2,7,1,8,5,4,3,6]
[3,7,5,4,1,6,8,2]=>[4,5,3,7,8,1,6,2]
[3,8,5,4,1,6,7,2]=>[4,5,3,8,7,1,6,2]
[5,2,1,4,6,8,7,3]=>[2,5,7,1,4,6,8,3]
[4,1,7,6,3,2,5,8]=>[4,3,6,1,2,7,5,8]
[4,6,1,3,2,5,8,7]=>[6,3,1,4,2,5,8,7]
[1,8,6,4,7,3,5,2]=>[1,5,7,6,3,8,4,2]
[7,1,5,4,2,6,3,8]=>[7,4,5,6,1,3,2,8]
[5,6,1,8,3,2,4,7]=>[6,3,8,2,5,1,4,7]
[8,5,6,3,7,2,1,4]=>[2,7,6,1,8,5,3,4]
[2,5,3,6,7,1,8,4]=>[7,2,5,8,3,6,1,4]
[2,7,4,5,6,8,1,3]=>[8,2,1,7,4,5,6,3]
[2,3,4,6,8,1,7,5]=>[8,2,3,4,7,6,1,5]
[2,3,5,8,1,6,7,4]=>[8,2,3,7,5,1,6,4]
[2,4,7,5,6,8,1,3]=>[8,2,1,4,7,5,6,3]
[7,3,4,6,2,8,1,5]=>[8,6,7,3,1,4,2,5]
[4,7,6,5,2,8,3,1]=>[3,8,5,4,6,7,1,2]
[2,5,4,8,6,7,3,1]=>[3,2,7,5,4,8,6,1]
[7,5,4,1,6,8,2,3]=>[4,5,2,7,8,1,6,3]
[8,5,2,1,7,6,3,4]=>[2,5,8,1,6,7,3,4]
[6,5,4,8,2,1,3,7]=>[2,8,1,5,6,4,3,7]
[4,3,6,2,1,5,8,7]=>[2,6,4,3,1,5,8,7]
[5,4,7,3,2,1,8,6]=>[2,3,7,5,4,8,1,6]
[2,7,3,6,4,1,8,5]=>[4,2,6,7,8,1,3,5]
[2,6,7,5,3,1,8,4]=>[3,2,5,7,8,6,4,1]
[8,7,3,6,5,4,1,2]=>[4,1,5,6,7,3,8,2]
[5,8,4,1,7,3,6,2]=>[4,8,6,7,5,1,2,3]
[5,1,4,6,8,7,3,2]=>[5,3,7,1,4,6,8,2]
[7,2,1,8,5,6,4,3]=>[2,7,4,6,8,5,1,3]
[3,6,5,1,4,8,2,7]=>[5,6,3,2,8,4,1,7]
[6,2,1,5,4,8,3,7]=>[2,6,8,5,1,4,3,7]
[6,3,5,4,8,1,2,7]=>[8,1,6,5,3,4,2,7]
[4,6,5,2,3,8,1,7]=>[8,5,2,4,6,3,1,7]
[1,5,4,6,2,3,8,7]=>[1,6,2,5,4,3,8,7]
[8,5,7,6,3,4,2,1]=>[2,4,6,3,7,8,1,5]
[8,2,1,5,7,3,6,4]=>[2,8,7,6,1,3,5,4]
[3,2,8,5,1,7,6,4]=>[5,3,2,8,6,7,4,1]
[1,7,8,4,6,3,5,2]=>[1,5,6,8,3,4,7,2]
[2,5,1,4,6,3,8,7]=>[5,2,6,1,4,3,8,7]
[3,1,5,6,4,2,8,7]=>[3,4,1,6,5,2,8,7]
[8,5,6,4,3,1,7,2]=>[3,4,6,7,8,5,1,2]
[8,3,5,6,7,1,2,4]=>[7,1,8,2,3,5,6,4]
[2,1,4,7,3,6,8,5]=>[2,1,7,4,8,3,6,5]
[5,3,7,6,4,8,2,1]=>[2,8,5,6,3,7,4,1]
[3,7,6,4,2,8,1,5]=>[8,4,3,6,1,7,2,5]
[8,6,1,4,3,7,2,5]=>[6,8,4,2,1,7,3,5]
[8,4,7,5,1,6,3,2]=>[5,3,7,6,8,2,1,4]
[2,1,5,3,7,8,6,4]=>[2,1,5,6,3,8,7,4]
[5,1,4,7,6,8,2,3]=>[5,8,2,1,4,7,6,3]
[8,4,1,3,7,6,5,2]=>[4,8,2,5,6,7,3,1]
[8,3,4,1,6,7,5,2]=>[4,5,7,2,8,1,6,3]
[8,1,4,2,6,5,7,3]=>[8,4,7,1,6,2,5,3]
[3,7,6,8,1,4,5,2]=>[8,5,3,1,4,7,6,2]
[3,7,5,8,4,1,6,2]=>[4,8,3,6,7,2,5,1]
[1,6,5,3,8,7,2,4]=>[1,7,5,2,6,3,8,4]
[3,6,5,4,8,7,1,2]=>[7,1,3,5,6,4,8,2]
[3,6,5,4,1,7,8,2]=>[4,5,3,6,8,1,7,2]
[3,6,5,4,7,8,1,2]=>[8,1,3,5,6,4,7,2]
[4,7,5,1,3,6,2,8]=>[5,7,2,4,6,3,1,8]
[8,6,5,3,1,7,2,4]=>[3,5,6,1,8,7,2,4]
[8,6,4,3,7,2,1,5]=>[2,7,4,6,1,8,3,5]
[8,6,4,3,1,2,7,5]=>[3,1,4,6,8,7,5,2]
[7,8,1,4,3,2,6,5]=>[8,3,4,1,6,2,7,5]
[5,8,1,4,3,2,6,7]=>[8,3,4,1,5,2,6,7]
[4,6,5,3,8,1,2,7]=>[8,1,5,4,6,3,2,7]
[5,6,4,3,8,2,7,1]=>[7,8,4,6,5,3,2,1]
[1,6,4,3,8,2,7,5]=>[1,8,4,6,7,3,2,5]
[5,8,1,6,7,3,2,4]=>[8,3,7,2,5,1,6,4]
[1,5,4,3,2,8,6,7]=>[1,3,4,5,2,8,6,7]
[6,7,4,1,3,2,5,8]=>[4,3,1,7,2,6,5,8]
[7,8,1,4,3,2,5,6]=>[8,3,4,1,2,5,7,6]
[8,7,4,1,3,2,5,6]=>[4,3,1,7,2,5,8,6]
[7,1,8,4,5,3,6,2]=>[7,6,5,8,4,3,1,2]
[4,3,1,8,6,5,7,2]=>[3,4,7,2,6,8,5,1]
[4,3,2,7,5,1,8,6]=>[5,3,4,2,7,8,1,6]
[5,2,3,7,4,1,8,6]=>[4,7,1,5,3,8,2,6]
[2,1,7,4,3,6,8,5]=>[2,1,4,7,8,3,6,5]
[7,1,2,4,5,6,8,3]=>[7,1,8,2,4,5,6,3]
[2,8,7,1,4,5,6,3]=>[7,2,6,1,4,5,8,3]
[8,7,1,3,4,5,6,2]=>[7,6,1,3,4,5,8,2]
[5,8,3,1,4,6,7,2]=>[3,8,7,2,5,4,6,1]
[1,7,2,5,4,6,8,3]=>[1,7,8,5,2,4,6,3]
[2,5,3,8,1,6,7,4]=>[8,2,5,7,3,1,6,4]
[1,6,4,2,5,7,8,3]=>[1,4,6,8,3,5,7,2]
[6,5,3,4,1,7,8,2]=>[4,8,5,3,6,1,7,2]
[5,6,3,4,1,7,8,2]=>[4,8,6,3,5,1,7,2]
[2,5,3,1,4,7,8,6]=>[3,2,5,1,4,8,7,6]
[6,8,2,3,1,5,7,4]=>[3,8,2,7,1,6,5,4]
[4,3,1,5,2,7,8,6]=>[3,4,5,2,1,8,7,6]
[5,2,3,1,4,7,8,6]=>[3,5,2,1,4,8,7,6]
[7,2,1,3,5,6,8,4]=>[2,7,1,8,3,5,6,4]
[7,3,6,4,5,8,1,2]=>[8,1,7,6,4,3,5,2]
[6,4,3,7,5,8,2,1]=>[2,8,4,6,7,3,5,1]
[5,2,4,7,8,6,3,1]=>[3,6,5,1,4,8,7,2]
[5,4,8,7,2,3,1,6]=>[3,7,2,5,4,1,8,6]
[8,1,4,5,3,6,2,7]=>[8,6,5,1,4,3,2,7]
[8,3,5,1,4,6,2,7]=>[5,6,8,1,3,4,2,7]
[5,8,2,1,7,4,3,6]=>[2,8,4,7,5,3,1,6]
[6,5,7,2,1,8,4,3]=>[2,7,4,8,6,5,1,3]
[1,5,4,7,3,8,6,2]=>[1,6,8,5,4,7,2,3]
[7,4,1,3,8,5,6,2]=>[4,7,2,6,8,5,3,1]
[3,6,8,4,1,7,2,5]=>[4,8,3,7,1,6,2,5]
[2,1,8,4,7,6,3,5]=>[2,1,6,7,4,8,3,5]
[2,7,5,6,8,4,3,1]=>[3,2,4,8,7,5,6,1]
[3,5,2,4,7,8,6,1]=>[6,5,3,2,4,8,7,1]
[7,5,6,3,8,2,1,4]=>[2,8,6,1,7,5,3,4]
[1,6,2,7,4,5,8,3]=>[1,6,8,7,4,2,5,3]
[7,4,2,6,1,5,8,3]=>[6,4,7,8,1,3,5,2]
[8,4,1,6,2,5,7,3]=>[4,8,6,7,3,2,5,1]
[7,3,4,5,1,6,8,2]=>[5,8,7,3,4,1,6,2]
[6,2,3,7,5,4,8,1]=>[8,6,2,5,7,3,4,1]
[7,6,2,4,3,5,8,1]=>[8,6,4,2,3,7,5,1]
[6,3,1,7,5,8,4,2]=>[3,6,4,8,7,2,5,1]
[3,5,8,7,1,6,4,2]=>[7,4,3,6,5,1,8,2]
[8,4,2,7,6,1,5,3]=>[6,4,7,5,3,8,1,2]
[8,4,7,1,2,6,5,3]=>[7,1,5,6,8,2,3,4]
[8,7,6,2,3,5,1,4]=>[5,6,2,1,3,7,8,4]
[7,6,3,4,8,1,5,2]=>[8,5,6,3,1,7,4,2]
[7,8,4,6,1,2,5,3]=>[6,1,5,8,2,4,7,3]
[4,1,6,7,5,8,3,2]=>[4,3,8,1,7,6,5,2]
[5,7,2,8,1,6,4,3]=>[8,7,4,6,5,1,2,3]
[8,4,7,1,6,5,2,3]=>[7,5,2,6,8,1,3,4]
[8,4,7,6,1,2,5,3]=>[6,1,5,7,4,8,2,3]
[3,8,7,4,6,1,5,2]=>[6,5,3,7,1,4,8,2]
[8,7,6,2,1,5,3,4]=>[2,6,5,3,1,7,8,4]
[5,7,8,1,6,2,4,3]=>[8,6,4,2,5,1,7,3]
[8,7,6,2,1,3,5,4]=>[2,6,1,5,3,7,8,4]
[6,8,4,7,5,2,1,3]=>[2,5,1,7,8,6,3,4]
[6,8,2,7,1,5,4,3]=>[7,8,4,5,1,6,2,3]
[6,8,7,4,2,5,1,3]=>[5,4,1,7,2,6,8,3]
[6,8,4,5,2,1,3,7]=>[2,5,1,8,4,6,3,7]
[6,8,4,5,7,2,1,3]=>[2,7,1,8,4,6,5,3]
[6,8,4,2,5,7,1,3]=>[7,4,1,8,2,6,5,3]
[6,8,4,2,5,1,3,7]=>[5,4,1,8,2,6,3,7]
[8,1,4,6,2,3,7,5]=>[8,6,2,1,7,4,3,5]
[4,8,6,2,3,7,1,5]=>[7,6,2,4,1,8,3,5]
[2,5,3,7,6,4,8,1]=>[8,2,5,6,3,7,4,1]
[3,1,5,7,6,4,2,8]=>[3,4,1,6,5,7,2,8]
[3,1,6,5,4,7,2,8]=>[3,7,1,5,6,4,2,8]
[2,5,6,8,3,4,7,1]=>[7,2,8,3,5,6,4,1]
[4,1,3,6,5,2,7,8]=>[4,5,1,3,6,2,7,8]
[3,6,2,4,5,7,1,8]=>[7,6,3,2,4,5,1,8]
[3,6,2,5,4,7,1,8]=>[7,6,3,5,2,4,1,8]
[3,5,1,7,6,4,2,8]=>[5,4,3,6,1,7,2,8]
[3,6,1,4,5,7,2,8]=>[6,7,3,1,4,5,2,8]
[4,3,1,6,5,2,7,8]=>[3,4,5,2,6,1,7,8]
[4,1,2,6,5,3,7,8]=>[4,1,5,2,6,3,7,8]
[4,6,1,3,5,2,7,8]=>[6,5,1,4,3,2,7,8]
[3,6,4,2,5,7,1,8]=>[7,4,3,6,2,5,1,8]
[4,2,6,3,5,1,7,8]=>[5,4,6,2,3,1,7,8]
[3,4,7,6,5,1,2,8]=>[5,1,3,4,6,7,2,8]
[4,5,2,7,1,3,6,8]=>[7,5,1,4,2,3,6,8]
[4,6,1,2,5,3,7,8]=>[6,1,5,4,2,3,7,8]
[2,5,4,7,3,6,8,1]=>[8,2,7,5,4,3,6,1]
[2,5,4,8,6,1,7,3]=>[6,2,8,5,4,7,3,1]
[2,4,3,7,5,8,6,1]=>[6,2,4,3,8,7,1,5]
[2,6,5,1,4,8,7,3]=>[5,2,6,3,7,4,8,1]
[2,6,5,1,7,3,8,4]=>[5,2,6,7,8,3,4,1]
[5,8,4,7,1,3,6,2]=>[7,6,1,8,5,3,4,2]
[6,4,7,1,3,5,2,8]=>[7,5,1,6,3,4,2,8]
[6,8,1,3,5,7,4,2]=>[8,4,1,7,3,6,5,2]
[5,8,3,2,7,4,6,1]=>[6,3,8,7,5,4,2,1]
[6,8,3,1,5,4,7,2]=>[3,8,7,5,2,6,4,1]
[6,8,1,2,5,3,7,4]=>[8,1,5,7,2,6,3,4]
[5,2,8,3,4,6,7,1]=>[7,5,8,3,2,4,6,1]
[5,2,7,1,6,4,8,3]=>[7,5,8,6,2,1,4,3]
[4,5,2,6,1,3,7,8]=>[6,5,1,4,2,3,7,8]
[4,3,5,8,6,1,7,2]=>[6,8,4,3,5,7,2,1]
[5,1,3,6,7,4,2,8]=>[5,4,1,7,3,6,2,8]
[4,2,8,3,6,7,5,1]=>[5,4,7,2,8,1,6,3]
[3,1,7,8,5,6,2,4]=>[3,6,1,2,8,5,7,4]
[6,2,1,7,5,3,4,8]=>[2,6,5,3,7,1,4,8]
[3,7,1,8,5,2,4,6]=>[7,5,3,2,8,4,1,6]
[4,2,8,6,7,1,3,5]=>[7,4,1,2,3,8,6,5]
[6,1,2,4,7,3,5,8]=>[6,1,7,2,3,4,5,8]
[5,3,1,6,4,7,2,8]=>[3,5,7,6,2,4,1,8]
[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]
[1,3,4,7,5,8,6,2]=>[1,6,3,4,8,7,2,5]
[1,5,2,3,7,8,6,4]=>[1,5,2,6,3,8,7,4]
[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,1,5,3]
[5,6,1,4,8,3,2,7]=>[6,3,8,1,5,4,2,7]
[3,6,4,1,7,2,8,5]=>[4,6,3,7,8,2,1,5]
[5,2,6,3,7,8,4,1]=>[4,8,5,6,3,1,7,2]
[2,4,1,3,7,8,6,5]=>[4,2,1,3,6,8,7,5]
[2,6,1,5,7,8,4,3]=>[6,2,4,8,1,5,7,3]
[5,1,6,4,7,8,2,3]=>[5,8,2,6,1,4,7,3]
[8,4,6,3,7,5,1,2]=>[5,1,7,6,8,2,4,3]
[4,7,6,8,2,3,5,1]=>[5,8,2,4,3,7,6,1]
[5,7,4,8,1,2,6,3]=>[8,1,6,7,5,2,4,3]
[3,6,7,5,8,1,4,2]=>[8,4,3,1,7,6,5,2]
[3,7,5,6,8,2,4,1]=>[4,8,3,2,7,5,6,1]
[2,7,1,6,8,4,5,3]=>[7,2,5,8,4,1,6,3]
[1,5,4,7,2,6,3,8]=>[1,7,6,5,4,2,3,8]
[2,4,5,8,3,1,7,6]=>[3,2,8,4,5,7,1,6]
[1,4,7,5,8,3,6,2]=>[1,6,8,4,7,3,5,2]
[2,6,8,7,3,5,1,4]=>[5,2,7,1,3,6,8,4]
[4,7,8,6,2,5,1,3]=>[5,6,1,4,2,8,7,3]
[4,8,7,3,5,6,2,1]=>[2,6,7,4,3,5,8,1]
[1,7,6,3,5,4,2,8]=>[1,4,5,6,2,7,3,8]
[4,3,8,1,6,5,7,2]=>[8,7,4,3,6,1,5,2]
[1,3,6,2,5,8,7,4]=>[1,6,3,7,2,5,8,4]
[5,8,7,1,4,6,3,2]=>[7,3,6,1,5,4,8,2]
[6,2,5,1,3,4,8,7]=>[5,6,1,3,2,4,8,7]
[2,6,5,1,3,4,8,7]=>[5,2,1,3,6,4,8,7]
[4,6,5,1,2,7,3,8]=>[5,1,6,4,7,3,2,8]
[5,6,4,1,2,7,3,8]=>[4,1,6,7,5,3,2,8]
[8,1,5,6,2,4,3,7]=>[8,6,4,2,1,5,3,7]
[6,4,5,1,2,7,3,8]=>[5,1,7,6,4,2,3,8]
[5,4,6,1,3,2,7,8]=>[6,3,1,5,4,2,7,8]
[5,7,1,4,3,2,6,8]=>[7,3,4,1,5,2,6,8]
[2,6,4,1,3,7,5,8]=>[4,2,1,6,7,3,5,8]
[7,5,4,3,8,6,1,2]=>[6,1,4,5,8,7,2,3]
[5,8,2,3,7,1,4,6]=>[7,8,2,1,5,4,3,6]
[2,7,4,3,1,8,6,5]=>[3,2,4,7,6,8,1,5]
[7,8,5,3,2,1,6,4]=>[2,3,5,8,6,4,7,1]
[1,5,8,3,4,2,6,7]=>[1,4,8,3,5,2,6,7]
[7,1,6,5,2,4,8,3]=>[7,5,6,3,8,1,4,2]
[5,1,3,8,2,6,7,4]=>[5,8,1,7,3,2,6,4]
[1,2,6,7,8,4,5,3]=>[1,2,5,8,4,6,7,3]
[6,1,4,8,2,7,5,3]=>[6,8,5,1,7,4,2,3]
[7,4,8,1,2,5,3,6]=>[8,1,5,7,2,3,4,6]
[6,2,8,1,5,4,3,7]=>[8,6,4,5,1,2,3,7]
[1,3,5,6,8,2,7,4]=>[1,8,3,7,5,6,2,4]
[7,6,4,1,3,2,5,8]=>[4,3,1,6,2,7,5,8]
[3,4,5,7,1,6,8,2]=>[7,8,3,4,5,1,6,2]
[5,2,3,7,1,8,4,6]=>[7,5,2,8,3,4,1,6]
[3,5,4,8,2,1,6,7]=>[2,8,3,5,4,1,6,7]
[7,2,3,1,8,4,6,5]=>[3,7,2,8,6,4,1,5]
[3,5,4,1,6,8,7,2]=>[4,5,3,7,2,6,8,1]
[1,8,6,7,4,3,2,5]=>[1,3,4,7,2,8,6,5]
[2,5,3,1,4,8,7,6]=>[3,2,5,1,4,7,8,6]
[5,4,1,7,3,2,8,6]=>[4,3,5,7,2,8,1,6]
[7,3,4,5,1,8,6,2]=>[5,6,8,2,4,7,1,3]
[1,5,6,7,4,8,2,3]=>[1,8,2,7,5,6,4,3]
[5,7,1,8,4,6,3,2]=>[7,3,6,8,5,4,1,2]
[7,8,1,5,4,3,2,6]=>[8,3,4,5,1,2,7,6]
[3,1,4,7,2,6,5,8]=>[3,7,1,4,6,2,5,8]
[3,2,7,5,1,6,4,8]=>[5,3,2,7,6,4,1,8]
[6,3,2,5,7,4,8,1]=>[8,3,6,7,2,5,4,1]
[5,7,3,8,1,2,4,6]=>[8,1,7,2,5,4,3,6]
[4,5,2,7,6,3,1,8]=>[3,6,5,4,1,7,2,8]
[4,5,2,1,7,6,3,8]=>[2,5,6,4,1,7,3,8]
[2,7,5,1,3,6,4,8]=>[5,2,1,7,6,4,3,8]
[2,7,5,6,1,4,3,8]=>[6,2,4,1,7,5,3,8]
[7,4,5,3,8,1,2,6]=>[8,1,5,7,4,2,3,6]
[3,6,1,5,7,4,8,2]=>[6,8,3,7,1,5,4,2]
[5,6,7,2,8,3,4,1]=>[4,7,8,3,5,6,2,1]
[2,6,7,8,3,1,4,5]=>[3,2,8,1,4,6,7,5]
[5,6,1,7,8,3,2,4]=>[6,3,8,2,5,1,7,4]
[6,3,2,5,1,7,8,4]=>[5,3,6,8,2,1,7,4]
[4,6,3,7,8,2,1,5]=>[2,8,6,4,1,3,7,5]
[4,6,3,7,8,2,5,1]=>[5,8,6,4,2,3,7,1]
[6,7,3,4,8,2,5,1]=>[5,8,7,3,2,6,4,1]
[6,7,3,4,8,2,1,5]=>[2,8,7,3,1,6,4,5]
[7,3,4,1,5,8,2,6]=>[4,8,7,3,1,2,5,6]
[5,6,7,1,8,4,2,3]=>[7,4,2,8,5,6,1,3]
[1,7,8,4,6,5,2,3]=>[1,5,2,6,8,3,7,4]
[1,7,3,2,8,6,5,4]=>[1,3,7,5,6,8,2,4]
[3,7,1,2,8,6,5,4]=>[7,1,3,5,6,8,2,4]
[2,7,3,1,8,6,5,4]=>[3,2,7,5,6,8,1,4]
[2,7,8,1,6,5,3,4]=>[8,2,5,3,6,1,7,4]
[6,8,1,3,4,7,5,2]=>[8,5,1,3,7,6,4,2]
[6,2,8,7,1,5,3,4]=>[7,6,5,3,1,2,8,4]
[2,5,8,1,7,6,3,4]=>[8,2,6,3,5,7,1,4]
[2,4,8,7,6,3,1,5]=>[3,2,6,4,1,7,8,5]
[5,1,8,7,3,4,6,2]=>[5,6,7,3,1,4,8,2]
[8,1,5,7,3,4,6,2]=>[8,6,7,3,1,4,5,2]
[5,8,2,7,6,3,1,4]=>[3,6,7,1,5,8,2,4]
[2,8,4,7,6,3,1,5]=>[3,2,6,7,4,8,1,5]
[1,8,2,4,7,6,3,5]=>[1,8,6,2,3,7,4,5]
[1,4,8,7,6,3,2,5]=>[1,3,6,4,2,7,8,5]
[1,8,4,7,6,3,2,5]=>[1,3,6,7,4,8,2,5]
[8,3,1,5,6,7,4,2]=>[3,8,4,7,2,5,6,1]
[2,5,1,6,8,7,4,3]=>[5,2,4,7,1,6,8,3]
[4,5,8,7,1,6,2,3]=>[7,6,2,4,5,1,8,3]
[3,2,6,1,8,7,5,4]=>[6,3,2,5,7,1,8,4]
[3,1,4,8,7,5,6,2]=>[3,6,1,4,7,5,8,2]
[1,3,5,8,6,7,4,2]=>[1,4,3,7,5,8,6,2]
[1,8,2,4,6,7,5,3]=>[1,8,5,2,7,4,6,3]
[1,4,7,3,8,5,6,2]=>[1,6,7,4,8,5,3,2]
[1,4,7,8,2,5,6,3]=>[1,8,6,4,2,5,7,3]
[2,3,7,8,1,5,6,4]=>[8,2,3,6,1,5,7,4]
[2,5,1,8,4,7,6,3]=>[5,2,6,7,1,8,3,4]
[2,1,7,4,8,6,5,3]=>[2,1,5,6,8,7,4,3]
[1,7,3,8,4,2,6,5]=>[1,4,8,7,6,3,2,5]
[2,3,7,1,8,6,5,4]=>[7,2,3,5,6,8,1,4]
[3,4,2,8,1,7,6,5]=>[8,4,3,2,6,7,1,5]
[2,4,5,8,1,7,6,3]=>[8,2,6,4,5,7,1,3]
[2,3,8,5,1,7,6,4]=>[5,2,3,8,6,7,4,1]
[1,8,3,5,2,7,6,4]=>[1,5,8,6,3,7,2,4]
[3,1,8,2,6,7,5,4]=>[3,8,1,5,7,2,6,4]
[3,1,7,2,8,6,5,4]=>[3,7,1,5,6,8,2,4]
[2,6,8,1,4,3,7,5]=>[8,2,4,1,7,6,3,5]
[4,1,8,2,6,7,3,5]=>[4,8,7,1,3,2,6,5]
[1,6,5,2,8,7,3,4]=>[1,5,6,2,7,3,8,4]
[2,6,1,5,8,7,3,4]=>[6,2,7,3,1,5,8,4]
[8,1,7,3,5,2,4,6]=>[8,5,7,2,3,4,1,6]
[8,1,3,2,7,6,4,5]=>[8,3,1,6,4,7,2,5]
[8,1,6,5,3,2,7,4]=>[8,3,5,6,7,1,4,2]
[8,1,7,6,3,2,5,4]=>[8,3,6,5,2,7,1,4]
[7,3,4,8,6,2,5,1]=>[5,6,8,2,3,7,4,1]
[7,4,6,8,1,2,5,3]=>[8,1,5,7,2,4,6,3]
[7,5,8,1,6,2,3,4]=>[8,6,2,3,7,1,5,4]
[5,7,1,4,3,2,8,6]=>[7,3,4,1,5,8,2,6]
[6,7,5,3,2,8,1,4]=>[8,3,5,1,7,6,2,4]
[6,8,4,5,3,1,7,2]=>[3,5,7,8,4,6,2,1]
[6,7,4,5,3,1,8,2]=>[3,5,8,7,4,6,2,1]
[6,2,5,3,4,1,7,8]=>[4,6,5,3,2,1,7,8]
[7,5,6,1,8,2,3,4]=>[6,8,2,3,7,5,1,4]
[7,4,6,5,1,2,8,3]=>[5,1,6,8,7,2,3,4]
[6,5,4,8,3,1,7,2]=>[3,8,7,5,6,4,2,1]
[6,7,5,3,2,8,4,1]=>[4,3,8,5,7,6,1,2]
[6,2,5,3,8,1,4,7]=>[8,6,5,1,2,3,4,7]
[6,2,5,3,7,1,4,8]=>[7,6,5,1,2,3,4,8]
[7,6,1,3,5,2,4,8]=>[6,5,1,2,3,7,4,8]
[7,6,1,4,5,2,3,8]=>[6,5,2,1,4,7,3,8]
[7,6,8,1,4,2,5,3]=>[8,4,5,1,2,7,6,3]
[6,3,5,1,8,7,4,2]=>[5,4,7,6,2,1,8,3]
[6,8,5,3,2,7,4,1]=>[4,3,7,5,8,6,1,2]
[6,3,4,7,2,8,1,5]=>[8,7,6,3,1,4,2,5]
[6,3,4,8,2,7,1,5]=>[7,8,6,3,1,4,2,5]
[6,1,5,4,8,2,3,7]=>[6,8,2,5,1,4,3,7]
[6,2,4,5,3,8,1,7]=>[8,6,5,2,4,3,1,7]
[5,2,7,4,3,1,8,6]=>[3,4,7,5,2,8,1,6]
[5,8,6,4,3,2,7,1]=>[7,3,4,6,5,8,2,1]
[6,1,5,4,7,2,3,8]=>[6,7,2,5,1,4,3,8]
[6,8,5,4,7,1,3,2]=>[7,3,1,5,8,6,4,2]
[5,8,7,4,3,2,6,1]=>[6,3,4,7,5,2,8,1]
[8,1,2,6,3,5,4,7]=>[8,1,6,5,3,2,4,7]
[6,1,5,4,7,8,3,2]=>[6,3,8,5,1,4,7,2]
[8,2,5,4,1,3,6,7]=>[4,5,2,8,1,3,6,7]
[8,1,5,4,6,3,2,7]=>[8,3,6,5,1,4,2,7]
[3,8,5,4,2,7,6,1]=>[6,4,3,5,7,8,1,2]
[3,6,1,4,7,5,8,2]=>[6,8,3,1,7,4,5,2]
[3,6,8,4,7,5,2,1]=>[2,5,3,7,8,6,1,4]
[5,6,1,4,8,7,2,3]=>[6,7,2,1,5,4,8,3]
[5,6,2,4,8,1,7,3]=>[8,6,7,2,5,4,1,3]
[7,6,5,3,1,4,8,2]=>[3,5,6,2,7,8,4,1]
[1,6,2,4,5,8,7,3]=>[1,6,7,2,4,5,8,3]
[7,1,2,5,3,8,6,4]=>[7,1,5,6,2,8,3,4]
[1,6,8,4,2,5,7,3]=>[1,4,8,7,3,6,5,2]
[2,8,1,6,3,7,5,4]=>[8,2,6,5,7,1,3,4]
[3,6,8,4,1,5,7,2]=>[4,8,3,7,2,6,5,1]
[2,6,1,4,5,7,8,3]=>[6,2,8,1,4,5,7,3]
[1,8,2,6,3,5,7,4]=>[1,8,6,7,3,2,5,4]
[7,5,8,1,3,4,2,6]=>[8,4,1,3,7,2,5,6]
[1,4,2,8,3,5,7,6]=>[1,4,8,2,3,7,5,6]
[7,5,2,1,3,6,8,4]=>[2,5,1,7,8,4,6,3]
[5,6,1,4,8,3,7,2]=>[6,7,8,1,5,4,3,2]
[1,3,5,4,8,7,2,6]=>[1,7,3,5,4,2,8,6]
[1,6,3,4,8,5,7,2]=>[1,7,6,3,8,4,5,2]
[7,6,5,2,1,3,8,4]=>[2,5,1,6,7,8,3,4]
[1,6,2,4,8,3,7,5]=>[1,6,8,2,7,4,3,5]
[7,1,2,8,3,4,6,5]=>[7,1,8,3,6,4,2,5]
[7,6,3,8,4,1,2,5]=>[4,1,8,6,3,7,2,5]
[7,1,3,2,6,5,4,8]=>[7,3,1,5,6,2,4,8]
[1,3,6,2,7,5,8,4]=>[1,6,3,8,7,2,5,4]
[1,4,2,7,6,5,3,8]=>[1,4,5,2,6,7,3,8]
[1,5,4,2,7,6,3,8]=>[1,4,5,6,3,7,2,8]
[1,6,2,7,5,4,8,3]=>[1,6,8,5,7,2,4,3]
[1,7,8,5,4,2,6,3]=>[1,4,5,8,6,2,7,3]
[1,5,2,8,6,4,7,3]=>[1,5,7,6,2,8,4,3]
[1,8,4,2,6,5,7,3]=>[1,4,8,7,6,3,5,2]
[1,6,5,2,7,4,8,3]=>[1,5,6,8,7,3,2,4]
[1,7,5,6,4,2,8,3]=>[1,4,6,8,7,5,3,2]
[1,8,5,6,4,2,7,3]=>[1,4,6,7,8,5,3,2]
[5,1,6,7,4,2,8,3]=>[5,4,7,8,1,6,3,2]
[6,7,1,8,4,2,5,3]=>[7,4,8,5,3,6,1,2]
[4,1,7,8,5,2,6,3]=>[4,5,8,1,6,3,7,2]
[7,1,8,6,4,2,5,3]=>[7,4,6,5,3,8,1,2]
[4,1,6,8,5,2,7,3]=>[4,5,8,1,7,6,3,2]
[6,8,1,5,2,3,7,4]=>[8,5,2,7,1,6,3,4]
[1,5,4,2,8,6,7,3]=>[1,4,5,7,3,8,6,2]
[1,3,5,2,8,6,7,4]=>[1,5,3,7,2,8,6,4]
[1,3,8,5,6,2,7,4]=>[1,6,3,7,8,5,2,4]
[1,5,3,6,7,2,8,4]=>[1,7,5,8,3,6,2,4]
[1,8,5,4,6,2,7,3]=>[1,6,7,5,8,4,2,3]
[1,7,5,4,6,2,8,3]=>[1,6,8,5,7,4,2,3]
[5,8,4,1,6,2,7,3]=>[4,8,6,7,5,2,3,1]
[6,4,5,1,7,2,8,3]=>[5,7,8,6,4,1,2,3]
[4,8,1,3,7,6,2,5]=>[8,6,1,4,2,7,3,5]
[4,5,3,1,2,8,7,6]=>[3,1,5,4,2,7,8,6]
[6,4,2,3,1,8,7,5]=>[3,4,2,6,7,1,8,5]
[6,5,2,1,3,8,7,4]=>[2,5,1,6,7,4,8,3]
[7,6,1,8,2,5,3,4]=>[6,7,5,3,1,8,2,4]
[8,4,2,3,7,6,1,5]=>[6,4,1,7,2,8,3,5]
[5,7,8,1,2,4,3,6]=>[8,1,4,2,5,3,7,6]
[1,7,6,8,3,5,4,2]=>[1,4,5,8,2,7,6,3]
[5,7,6,4,2,1,3,8]=>[2,4,1,6,5,7,3,8]
[6,5,7,4,1,3,2,8]=>[4,3,1,7,6,5,2,8]
[4,6,1,8,3,5,2,7]=>[6,5,8,4,3,1,2,7]
[7,1,6,8,2,5,4,3]=>[7,8,4,5,2,1,6,3]
[4,7,1,8,3,2,5,6]=>[7,3,8,4,2,5,1,6]
[4,8,3,6,1,5,2,7]=>[6,5,8,4,1,3,2,7]
[1,7,8,6,4,5,3,2]=>[1,3,5,6,4,8,7,2]
[3,2,8,6,4,5,1,7]=>[5,3,2,6,4,8,1,7]
[8,4,3,6,2,5,1,7]=>[5,6,4,8,2,3,1,7]
[1,6,8,7,4,3,5,2]=>[1,5,4,7,3,6,8,2]
[7,3,4,2,8,1,5,6]=>[8,4,7,3,1,5,2,6]
[7,1,4,3,5,8,2,6]=>[7,8,4,1,3,2,5,6]
[8,4,6,7,3,5,1,2]=>[5,1,7,8,3,4,6,2]
[3,1,2,6,8,7,5,4]=>[3,1,2,5,7,6,8,4]
[8,5,6,3,7,4,1,2]=>[4,1,7,6,8,5,2,3]
[5,7,4,2,1,8,6,3]=>[2,4,7,6,5,8,3,1]
[8,6,5,7,2,4,3,1]=>[3,4,7,1,6,8,5,2]
[7,4,6,1,8,5,3,2]=>[6,3,5,8,7,2,1,4]
[7,4,6,3,8,1,5,2]=>[8,5,6,7,1,4,3,2]
[7,4,8,1,6,3,2,5]=>[8,3,6,7,2,1,4,5]
[7,4,8,3,6,2,1,5]=>[2,6,8,7,1,3,4,5]
[6,4,8,2,3,5,7,1]=>[7,8,2,6,3,4,5,1]
[6,2,4,1,5,8,3,7]=>[4,6,8,2,1,5,3,7]
[6,2,4,8,1,5,7,3]=>[8,6,7,2,1,4,5,3]
[6,8,2,4,1,5,3,7]=>[4,8,5,2,1,6,3,7]
[4,6,8,2,5,7,1,3]=>[7,8,1,4,2,6,5,3]
[6,4,8,2,5,7,1,3]=>[7,8,1,6,2,4,5,3]
[6,2,4,5,8,3,7,1]=>[7,6,8,2,4,5,3,1]
[6,8,2,4,7,3,5,1]=>[5,8,7,2,3,6,4,1]
[6,8,4,2,3,5,1,7]=>[5,4,2,8,3,6,1,7]
[6,8,4,2,3,5,7,1]=>[7,4,2,8,3,6,5,1]
[4,6,8,2,3,1,5,7]=>[3,8,2,4,1,6,5,7]
[4,6,8,2,5,1,7,3]=>[5,8,7,4,2,6,1,3]
[4,6,8,2,5,7,3,1]=>[3,7,8,4,1,6,5,2]
[6,8,4,2,3,7,1,5]=>[7,4,2,8,1,6,3,5]
[6,4,8,2,3,7,1,5]=>[7,8,2,6,1,4,3,5]
[8,4,6,2,7,1,3,5]=>[7,6,1,8,3,4,2,5]
[6,8,4,2,7,1,3,5]=>[7,4,1,8,3,6,2,5]
[4,8,2,6,7,5,1,3]=>[5,7,2,4,8,1,6,3]
[8,2,4,6,7,5,1,3]=>[5,7,2,1,8,4,6,3]
[8,2,6,7,4,1,3,5]=>[4,7,2,8,3,1,6,5]
[8,2,6,7,1,4,3,5]=>[7,8,4,1,3,2,6,5]
[6,8,2,4,1,7,3,5]=>[4,8,7,2,3,6,1,5]
[8,6,2,4,1,7,3,5]=>[4,6,8,3,2,7,1,5]
[3,7,2,6,1,5,8,4]=>[6,7,3,8,1,2,5,4]
[7,5,1,6,2,4,8,3]=>[5,7,6,3,8,2,4,1]
[4,2,5,7,1,6,8,3]=>[7,4,8,2,5,1,6,3]
[3,6,5,7,2,8,1,4]=>[8,7,3,1,6,5,2,4]
[4,7,5,8,1,3,6,2]=>[8,6,1,4,7,3,5,2]
[7,6,2,1,8,4,5,3]=>[2,6,5,7,1,8,4,3]
[3,1,5,6,4,8,2,7]=>[3,8,1,6,5,4,2,7]
[2,7,6,8,4,5,3,1]=>[3,2,5,8,4,7,6,1]
[2,4,8,6,5,3,7,1]=>[7,2,5,4,6,8,3,1]
[5,4,8,2,6,7,1,3]=>[7,8,1,5,4,2,6,3]
[2,4,8,5,6,7,3,1]=>[3,2,7,4,8,5,6,1]
[2,7,4,8,6,3,5,1]=>[5,2,6,8,4,7,3,1]
[4,5,2,3,8,7,1,6]=>[7,5,2,4,3,1,8,6]
[8,5,1,3,6,7,4,2]=>[5,4,2,8,7,3,6,1]
[3,1,5,4,6,7,2,8]=>[3,7,1,5,4,6,2,8]
[2,5,4,7,6,1,3,8]=>[6,2,1,5,4,7,3,8]
[5,2,3,7,6,1,4,8]=>[6,5,2,1,3,7,4,8]
[4,2,3,7,6,1,5,8]=>[6,4,2,3,1,7,5,8]
[4,2,7,3,5,1,6,8]=>[5,4,7,2,3,1,6,8]
[5,6,2,3,8,4,7,1]=>[7,6,2,8,5,3,4,1]
[5,6,2,3,1,7,8,4]=>[3,6,2,8,5,1,7,4]
[5,7,2,3,4,1,6,8]=>[4,7,2,3,5,1,6,8]
[6,2,7,3,5,1,4,8]=>[5,6,7,1,3,2,4,8]
[7,2,6,3,5,1,4,8]=>[5,7,6,1,3,2,4,8]
[6,5,2,3,1,7,8,4]=>[3,5,2,6,8,4,7,1]
[6,5,2,3,8,4,7,1]=>[7,5,2,6,8,4,3,1]
[7,5,2,1,4,6,8,3]=>[2,5,7,3,8,4,6,1]
[8,5,2,3,1,6,4,7]=>[3,5,2,8,6,4,1,7]
[8,6,2,3,1,5,4,7]=>[3,6,2,5,1,8,4,7]
[8,2,6,3,1,7,4,5]=>[3,6,8,7,4,1,2,5]
[1,6,3,4,2,7,5,8]=>[1,4,6,3,7,2,5,8]
[8,5,2,7,3,4,6,1]=>[6,5,8,2,7,4,3,1]
[1,7,2,4,5,6,8,3]=>[1,7,8,2,4,5,6,3]
[1,8,3,2,5,6,4,7]=>[1,3,8,6,2,5,4,7]
[7,2,8,1,4,6,3,5]=>[8,7,6,1,3,4,2,5]
[2,7,8,1,5,6,3,4]=>[8,2,6,3,1,5,7,4]
[6,8,2,3,1,5,4,7]=>[3,8,2,5,1,6,4,7]
[5,8,2,3,1,6,4,7]=>[3,8,2,6,5,1,4,7]
[5,7,2,1,4,6,8,3]=>[2,7,8,1,5,4,6,3]
[4,2,7,1,5,6,8,3]=>[7,4,8,2,1,5,6,3]
[4,2,3,8,1,7,5,6]=>[8,4,2,3,7,5,1,6]
[4,2,1,5,3,7,6,8]=>[2,4,5,1,3,7,6,8]
[5,1,3,8,4,6,7,2]=>[5,7,1,8,3,4,6,2]
[5,1,3,2,6,7,8,4]=>[5,3,1,8,2,6,7,4]
[5,1,3,4,2,7,6,8]=>[5,4,1,3,2,7,6,8]
[6,1,3,4,2,7,5,8]=>[6,4,1,3,7,2,5,8]
[7,2,1,3,5,8,4,6]=>[2,7,1,8,3,4,5,6]
[6,8,7,2,3,4,5,1]=>[5,7,2,3,4,6,8,1]
[3,7,2,8,1,4,5,6]=>[8,7,3,1,4,5,2,6]
[5,2,3,7,4,6,1,8]=>[6,5,2,7,3,4,1,8]
[2,5,3,7,4,6,1,8]=>[6,2,5,7,3,4,1,8]
[2,6,7,3,4,5,1,8]=>[5,2,7,3,4,6,1,8]
[6,2,7,3,4,5,1,8]=>[5,6,7,3,4,2,1,8]
[3,8,4,5,2,1,6,7]=>[2,5,3,8,4,1,6,7]
[2,7,6,3,4,5,1,8]=>[5,2,6,3,4,7,1,8]
[2,8,7,5,1,3,4,6]=>[5,2,1,3,7,4,8,6]
[4,5,7,2,8,3,6,1]=>[6,7,8,4,5,3,2,1]
[7,5,2,6,1,8,3,4]=>[6,5,7,2,8,3,1,4]
[6,2,5,3,7,8,4,1]=>[4,8,6,5,3,1,7,2]
[7,5,3,4,2,1,8,6]=>[2,4,5,3,7,8,1,6]
[6,2,4,3,1,7,8,5]=>[3,4,6,1,8,2,7,5]
[5,2,1,3,6,7,8,4]=>[2,5,1,8,3,6,7,4]
[1,6,5,7,2,8,3,4]=>[1,7,8,3,6,5,2,4]
[6,2,5,3,7,8,1,4]=>[8,6,5,1,2,3,7,4]
[7,5,2,6,1,8,4,3]=>[6,5,4,7,8,3,1,2]
[6,1,5,2,7,8,4,3]=>[6,5,4,8,1,2,7,3]
[1,6,5,7,2,8,4,3]=>[1,7,4,8,6,5,2,3]
[7,5,6,8,1,2,4,3]=>[8,1,4,2,7,5,6,3]
[7,5,6,2,8,1,4,3]=>[8,6,4,1,7,5,2,3]
[5,2,1,4,8,7,6,3]=>[2,5,6,1,4,7,8,3]
[6,2,3,5,8,7,1,4]=>[7,6,2,1,3,5,8,4]
[1,5,4,6,2,8,7,3]=>[1,6,7,5,4,2,8,3]
[7,5,1,3,6,8,4,2]=>[5,4,2,7,8,3,6,1]
[1,5,4,6,2,8,3,7]=>[1,6,8,5,4,2,3,7]
[1,5,6,4,8,2,3,7]=>[1,8,2,6,5,4,3,7]
[7,5,6,8,2,4,3,1]=>[3,4,8,1,7,5,6,2]
[7,5,6,2,8,4,1,3]=>[4,8,2,6,7,5,1,3]
[6,2,1,5,8,4,7,3]=>[2,6,7,8,1,5,4,3]
[7,5,6,8,4,1,3,2]=>[4,3,1,8,7,5,6,2]
[8,3,7,5,1,4,2,6]=>[5,4,7,3,8,2,1,6]
[5,4,1,8,6,2,3,7]=>[4,5,1,6,2,8,3,7]
[5,4,1,7,6,2,3,8]=>[4,5,1,6,2,7,3,8]
[8,1,5,7,3,6,2,4]=>[8,6,7,2,1,3,5,4]
[8,3,2,6,4,5,1,7]=>[5,3,8,6,4,2,1,7]
[8,5,3,7,4,1,2,6]=>[4,1,7,5,8,3,2,6]
[8,5,6,2,7,1,3,4]=>[7,6,1,3,8,5,2,4]
[8,4,7,2,6,5,1,3]=>[5,6,2,7,8,4,1,3]
[8,5,7,3,2,6,1,4]=>[6,3,7,1,8,2,5,4]
[8,1,2,3,6,4,7,5]=>[8,1,2,6,7,3,4,5]
[7,6,2,3,5,8,1,4]=>[8,6,2,1,3,7,5,4]
[4,5,3,7,8,1,6,2]=>[8,6,5,4,3,1,7,2]
[3,4,2,8,1,6,7,5]=>[8,4,3,2,7,1,6,5]
[8,3,4,1,5,7,6,2]=>[4,6,7,2,1,8,5,3]
[4,3,7,5,1,6,2,8]=>[5,7,4,3,6,2,1,8]
[5,2,6,1,4,3,7,8]=>[6,5,4,1,2,3,7,8]
[3,5,2,8,6,7,4,1]=>[4,7,3,5,1,8,6,2]
[5,3,7,4,2,8,6,1]=>[6,4,8,5,2,7,1,3]
[7,4,8,2,3,5,6,1]=>[6,8,2,7,3,5,4,1]
[5,6,2,8,7,1,4,3]=>[7,6,4,1,5,2,8,3]
[4,6,3,5,2,7,8,1]=>[8,5,6,4,3,2,7,1]
[4,1,6,3,5,7,2,8]=>[4,7,6,1,3,5,2,8]
[3,1,5,7,4,6,8,2]=>[3,8,1,7,5,4,6,2]
[7,2,5,8,6,1,4,3]=>[6,8,4,2,1,7,5,3]
[4,3,6,1,5,7,8,2]=>[6,8,4,3,1,5,7,2]
[3,5,4,1,2,6,7,8]=>[4,1,3,5,2,6,7,8]
[5,3,1,4,6,7,8,2]=>[3,5,8,2,4,6,7,1]
[4,6,7,1,3,5,8,2]=>[7,8,1,4,3,6,5,2]
[5,6,1,3,4,7,2,8]=>[6,7,1,3,5,4,2,8]
[2,5,3,7,8,4,6,1]=>[6,2,5,8,3,4,7,1]
[4,6,2,1,3,7,8,5]=>[2,6,1,4,8,3,7,5]
[3,6,2,4,1,7,5,8]=>[4,6,3,2,7,1,5,8]
[3,2,6,7,4,8,5,1]=>[5,3,2,8,7,6,1,4]
[7,1,3,8,4,5,2,6]=>[7,5,1,8,4,2,3,6]
[7,1,8,3,4,6,2,5]=>[7,6,8,3,2,4,1,5]
[6,3,2,7,5,8,4,1]=>[4,3,8,6,7,1,5,2]
[6,2,7,1,4,5,3,8]=>[7,6,5,1,4,2,3,8]
[4,2,6,1,5,7,3,8]=>[6,4,7,2,1,5,3,8]
[2,5,4,1,3,6,7,8]=>[4,2,1,5,3,6,7,8]
[5,4,1,2,6,7,3,8]=>[4,1,5,7,3,6,2,8]
[6,5,2,7,4,1,3,8]=>[4,7,2,5,6,1,3,8]
[6,5,7,3,1,4,2,8]=>[3,7,4,2,6,5,1,8]
[6,7,4,3,1,5,8,2]=>[3,4,7,8,1,6,5,2]
[3,1,6,7,8,4,5,2]=>[3,5,1,8,4,6,7,2]
[7,4,5,6,2,1,8,3]=>[2,6,8,7,4,5,1,3]
[8,2,5,6,7,3,1,4]=>[3,7,8,2,1,5,6,4]
[6,4,5,2,7,1,8,3]=>[7,5,8,6,4,2,1,3]
[3,7,5,6,2,1,8,4]=>[2,6,3,8,7,5,1,4]
[1,7,6,3,8,4,5,2]=>[1,5,6,7,3,8,4,2]
[5,7,8,4,2,3,1,6]=>[3,4,2,8,5,1,7,6]
[6,3,1,4,5,2,7,8]=>[3,6,5,2,4,1,7,8]
[6,4,1,2,7,8,3,5]=>[4,1,6,8,2,3,7,5]
[6,4,1,3,5,2,7,8]=>[4,6,2,5,3,1,7,8]
[6,3,4,1,7,8,2,5]=>[4,8,6,3,2,1,7,5]
[5,3,4,2,6,8,1,7]=>[8,4,5,3,2,6,1,7]
[6,8,1,5,3,4,2,7]=>[8,4,5,3,1,6,2,7]
[4,3,5,6,1,8,2,7]=>[6,8,4,3,5,1,2,7]
[5,1,8,3,4,6,2,7]=>[5,6,8,3,1,4,2,7]
[6,2,8,3,4,7,1,5]=>[7,6,8,3,1,2,4,5]
[5,7,3,6,1,4,2,8]=>[6,4,7,1,5,3,2,8]
[4,5,8,2,3,7,1,6]=>[7,8,2,4,5,1,3,6]
[7,3,4,8,2,5,1,6]=>[5,8,7,3,2,1,4,6]
[6,2,3,5,1,8,4,7]=>[5,6,2,8,3,1,4,7]
[6,8,1,5,4,2,3,7]=>[8,4,2,5,1,6,3,7]
[6,2,4,7,3,1,5,8]=>[3,7,6,1,2,4,5,8]
[4,7,2,5,1,6,8,3]=>[5,7,8,4,2,1,6,3]
[3,1,4,5,8,2,7,6]=>[3,8,1,4,5,7,2,6]
[4,7,3,1,8,2,6,5]=>[3,7,8,4,6,1,2,5]
[6,2,3,8,5,1,4,7]=>[5,8,1,2,6,3,4,7]
[6,2,3,8,4,7,1,5]=>[7,6,2,8,1,3,4,5]
[6,2,5,1,3,8,4,7]=>[5,6,1,8,2,3,4,7]
[5,1,2,8,4,6,3,7]=>[5,1,6,8,2,4,3,7]
[5,1,3,7,4,6,2,8]=>[5,6,1,7,3,4,2,8]
[5,1,4,6,2,8,3,7]=>[5,6,8,1,4,2,3,7]
[6,5,4,7,2,8,3,1]=>[3,8,7,5,6,4,1,2]
[3,2,4,6,5,8,1,7]=>[8,3,2,4,6,5,1,7]
[3,5,4,8,7,1,6,2]=>[7,6,3,5,4,1,8,2]
[7,5,2,1,6,3,4,8]=>[2,5,7,1,6,3,4,8]
[6,3,1,7,4,2,5,8]=>[3,6,4,7,1,2,5,8]
[8,7,2,1,5,3,6,4]=>[2,7,5,6,1,3,8,4]
[6,8,5,3,7,4,2,1]=>[2,4,7,5,8,6,1,3]
[7,2,8,1,5,6,4,3]=>[8,7,4,6,1,5,2,3]
[8,3,6,4,1,5,7,2]=>[4,6,7,8,2,1,5,3]
[7,5,6,1,4,8,2,3]=>[6,8,2,1,7,5,4,3]
[5,7,2,6,3,8,4,1]=>[4,8,7,6,5,3,1,2]
[8,4,1,2,3,6,7,5]=>[4,1,2,8,7,3,6,5]
[5,6,4,2,1,8,3,7]=>[2,4,6,8,5,3,1,7]
[6,8,1,3,2,7,5,4]=>[8,3,1,5,7,6,2,4]
[5,7,3,6,4,1,2,8]=>[4,1,6,7,5,2,3,8]
[7,2,4,3,8,1,5,6]=>[8,7,4,2,1,5,3,6]
[2,5,4,6,1,3,8,7]=>[6,2,1,5,4,3,8,7]
[2,4,3,5,8,1,6,7]=>[8,2,4,3,5,1,6,7]
[5,8,2,6,7,4,3,1]=>[3,4,7,8,5,2,6,1]
[3,7,5,1,6,4,2,8]=>[5,4,3,7,6,2,1,8]
[8,2,5,7,3,4,6,1]=>[6,8,7,3,2,4,5,1]
[2,6,5,3,8,1,4,7]=>[8,2,5,1,6,3,4,7]
[5,2,7,4,8,6,3,1]=>[3,6,5,8,1,7,2,4]
[6,2,5,8,1,7,3,4]=>[8,6,7,3,2,5,1,4]
[6,1,2,4,3,5,7,8]=>[6,1,4,2,3,5,7,8]
[5,6,7,4,1,3,8,2]=>[4,7,2,8,5,6,3,1]
[8,5,6,1,4,2,7,3]=>[6,4,7,1,8,5,2,3]
[5,8,6,1,4,2,7,3]=>[6,4,8,3,5,7,2,1]
[6,5,8,2,7,3,4,1]=>[4,8,7,3,6,5,2,1]
[7,6,1,2,4,3,5,8]=>[6,1,4,2,3,7,5,8]
[5,6,7,4,1,3,2,8]=>[4,3,1,7,5,6,2,8]
[1,7,6,8,4,3,2,5]=>[1,3,4,8,2,7,6,5]
[1,7,6,5,3,8,2,4]=>[1,8,5,2,6,7,3,4]
[6,4,5,7,1,3,2,8]=>[7,3,1,6,4,5,2,8]
[6,1,2,4,3,5,8,7]=>[6,1,4,2,3,5,8,7]
[6,1,2,4,3,7,5,8]=>[6,1,4,2,7,3,5,8]
[7,4,5,8,2,3,6,1]=>[6,8,2,7,4,3,5,1]
[4,6,1,3,7,8,5,2]=>[6,5,1,4,8,3,7,2]
[8,4,1,5,2,6,7,3]=>[4,8,5,7,2,3,6,1]
[7,1,2,4,3,5,8,6]=>[7,1,4,2,3,8,5,6]
[1,5,6,3,8,7,2,4]=>[1,7,6,2,5,3,8,4]
[5,6,8,4,7,1,3,2]=>[7,3,1,8,5,6,4,2]
[5,3,2,6,8,7,1,4]=>[7,3,5,1,2,6,8,4]
[6,3,5,2,7,1,4,8]=>[7,5,6,1,3,2,4,8]
[8,5,2,6,7,1,4,3]=>[7,5,4,1,8,2,6,3]
[6,8,7,2,4,1,5,3]=>[4,7,5,2,1,6,8,3]
[5,3,8,7,1,4,2,6]=>[7,4,5,1,3,2,8,6]
[6,4,5,3,1,8,7,2]=>[3,5,7,6,4,2,8,1]
[8,5,1,2,3,6,7,4]=>[5,1,2,8,7,4,6,3]
[2,8,6,1,5,4,7,3]=>[6,2,8,5,3,7,4,1]
[8,3,2,6,1,5,7,4]=>[6,3,8,7,1,2,5,4]
[3,8,6,4,7,1,2,5]=>[7,1,3,6,2,8,4,5]
[1,8,7,5,4,3,2,6]=>[1,3,4,5,7,2,8,6]
[8,6,4,7,1,3,2,5]=>[7,3,1,6,2,8,4,5]
[3,1,4,7,6,2,5,8]=>[3,6,1,4,2,7,5,8]
[5,4,7,1,6,3,2,8]=>[7,3,6,5,4,1,2,8]
[5,3,4,1,6,2,7,8]=>[4,6,5,3,1,2,7,8]
[2,7,1,4,6,3,5,8]=>[7,2,6,1,3,4,5,8]
[7,3,1,6,5,2,4,8]=>[3,7,5,1,6,2,4,8]
[7,1,5,2,4,6,3,8]=>[7,5,6,2,1,4,3,8]
[6,1,4,5,2,7,3,8]=>[6,5,7,1,4,2,3,8]
[6,1,5,8,2,7,4,3]=>[6,8,4,7,1,5,2,3]
[7,1,2,3,6,4,5,8]=>[7,1,2,6,4,3,5,8]
[6,3,1,8,5,4,7,2]=>[3,6,7,5,8,2,4,1]
[3,1,8,7,5,4,6,2]=>[3,6,1,5,7,4,8,2]
[1,8,3,7,5,4,6,2]=>[1,6,8,5,7,4,3,2]
[6,1,3,8,7,4,5,2]=>[6,5,1,7,4,3,8,2]
[5,6,1,3,7,4,8,2]=>[6,8,1,7,5,3,4,2]
[1,6,3,8,5,4,7,2]=>[1,7,6,5,8,3,4,2]
[8,2,5,6,1,3,7,4]=>[6,8,1,7,2,5,3,4]
[2,8,4,6,5,1,7,3]=>[5,2,6,7,8,1,3,4]
[7,4,1,3,6,5,2,8]=>[4,7,2,5,6,3,1,8]
[5,3,4,7,1,8,2,6]=>[7,8,5,3,4,2,1,6]
[7,8,1,6,4,3,2,5]=>[8,3,4,6,2,1,7,5]
[8,5,1,7,6,3,2,4]=>[5,3,8,1,6,7,2,4]
[6,8,7,2,1,3,5,4]=>[2,7,1,5,3,6,8,4]
[5,7,2,8,1,3,6,4]=>[8,7,1,6,5,3,2,4]
[7,6,8,3,1,5,2,4]=>[3,8,5,1,2,7,6,4]
[3,1,4,8,2,7,6,5]=>[3,8,1,4,6,7,2,5]
[5,4,1,2,6,3,8,7]=>[4,1,5,6,3,2,8,7]
[3,8,4,6,1,2,7,5]=>[6,1,3,8,7,4,2,5]
[6,3,1,4,8,7,2,5]=>[3,6,7,2,1,4,8,5]
[3,4,7,5,1,8,2,6]=>[5,7,3,4,8,1,2,6]
[6,5,1,4,7,3,2,8]=>[5,3,6,2,7,4,1,8]
[8,4,5,1,7,3,2,6]=>[5,3,7,8,4,2,1,6]
[2,7,8,4,1,3,6,5]=>[4,2,1,8,6,3,7,5]
[2,4,6,5,7,8,1,3]=>[8,2,1,4,6,5,7,3]
[2,4,6,7,5,8,1,3]=>[8,2,1,4,7,6,5,3]
[2,4,6,3,7,8,1,5]=>[8,2,6,4,1,3,7,5]
[2,4,5,6,8,7,1,3]=>[7,2,1,4,5,6,8,3]
[2,4,5,6,8,3,7,1]=>[7,2,8,4,5,6,3,1]
[2,4,5,6,3,8,1,7]=>[8,2,6,4,5,3,1,7]
[2,3,4,6,8,5,1,7]=>[5,2,3,4,8,6,1,7]
[1,8,6,3,4,7,5,2]=>[1,5,7,2,6,8,4,3]
[8,6,5,1,4,2,7,3]=>[5,4,6,1,8,7,2,3]
[1,6,3,5,8,4,7,2]=>[1,7,6,8,3,5,4,2]
[5,2,8,3,4,1,6,7]=>[4,5,8,3,2,1,6,7]
[3,6,4,1,2,7,8,5]=>[4,1,3,6,8,2,7,5]
[4,1,7,3,8,6,2,5]=>[4,6,8,1,3,7,2,5]
[6,1,8,5,4,3,2,7]=>[6,3,4,5,8,1,2,7]
[8,2,1,6,4,5,3,7]=>[2,8,5,6,4,1,3,7]
[5,3,6,4,1,8,2,7]=>[4,6,8,5,1,2,3,7]
[8,4,1,2,5,3,7,6]=>[4,1,8,5,3,7,2,6]
[1,5,2,7,6,8,4,3]=>[1,5,4,8,2,7,6,3]
[8,1,5,6,2,7,3,4]=>[8,6,7,3,1,5,2,4]
[6,5,2,8,1,3,7,4]=>[8,5,1,6,7,4,3,2]
[4,5,2,1,6,3,7,8]=>[2,5,6,4,1,3,7,8]
[8,2,1,5,4,6,7,3]=>[2,8,7,5,1,4,6,3]
[7,2,5,4,1,6,8,3]=>[4,5,7,8,3,2,6,1]
[5,7,6,4,3,1,2,8]=>[3,1,4,6,5,7,2,8]
[4,6,8,7,1,3,2,5]=>[7,3,1,4,2,6,8,5]
[4,7,6,8,3,1,2,5]=>[3,1,8,4,2,7,6,5]
[1,7,8,6,3,5,2,4]=>[1,5,6,2,3,8,7,4]
[4,8,2,7,6,5,1,3]=>[5,6,1,4,7,8,2,3]
[7,4,2,8,6,5,1,3]=>[5,4,1,6,8,7,2,3]
[8,6,5,2,7,1,4,3]=>[7,5,4,1,6,8,2,3]
[6,5,8,2,7,1,4,3]=>[7,8,4,1,6,5,2,3]
[7,5,8,2,1,6,4,3]=>[2,8,4,6,7,1,5,3]
[3,2,1,6,5,8,4,7]=>[2,3,1,8,6,5,4,7]
[2,6,4,8,5,7,3,1]=>[3,2,7,6,8,4,5,1]
[6,3,1,4,5,8,2,7]=>[3,6,8,2,4,5,1,7]
[3,4,8,5,2,1,7,6]=>[2,5,3,4,8,7,1,6]
[4,8,7,1,3,2,6,5]=>[7,3,1,4,6,2,8,5]
[5,8,7,4,6,1,3,2]=>[6,3,1,7,5,4,8,2]
[3,4,1,8,7,6,2,5]=>[4,6,3,1,2,7,8,5]
[1,3,5,6,8,7,2,4]=>[1,7,3,2,5,6,8,4]
[2,8,7,5,4,1,6,3]=>[4,2,5,7,6,1,8,3]
[8,1,5,7,4,2,6,3]=>[8,4,7,6,1,3,5,2]
[5,8,7,3,4,1,6,2]=>[4,6,7,3,5,1,8,2]
[4,6,1,3,2,8,5,7]=>[6,3,1,4,8,2,5,7]
[2,6,5,8,3,1,4,7]=>[3,2,8,1,6,5,4,7]
[6,7,8,2,4,5,3,1]=>[3,5,8,1,4,6,7,2]
[3,2,8,4,5,7,1,6]=>[7,3,2,8,4,1,5,6]
[6,1,8,2,4,5,3,7]=>[6,8,5,2,4,1,3,7]
[8,3,6,4,2,7,1,5]=>[7,4,6,8,1,2,3,5]
[1,3,8,4,7,6,2,5]=>[1,6,3,7,4,8,2,5]
[8,3,7,5,4,1,2,6]=>[4,1,5,7,8,2,3,6]
[2,6,4,7,8,5,1,3]=>[5,2,1,8,6,3,7,4]
[5,4,3,7,6,1,8,2]=>[6,7,4,5,3,8,2,1]
[8,6,3,7,1,4,2,5]=>[7,4,6,1,2,8,3,5]
[3,1,2,8,7,6,4,5]=>[3,1,2,6,4,7,8,5]
[8,5,4,1,2,3,7,6]=>[4,1,2,5,8,7,3,6]
[8,3,2,1,6,4,7,5]=>[2,3,8,6,7,1,4,5]
[2,3,8,4,1,7,5,6]=>[4,2,3,8,7,5,1,6]
[4,6,1,3,2,7,8,5]=>[6,3,1,4,8,2,7,5]
[6,7,2,5,8,4,1,3]=>[4,8,2,7,1,6,5,3]
[4,1,7,8,2,5,6,3]=>[4,8,6,1,2,5,7,3]
[3,4,6,7,1,5,8,2]=>[7,8,3,4,1,6,5,2]
[3,4,5,7,8,1,6,2]=>[8,6,3,4,5,1,7,2]
[1,8,7,4,3,5,2,6]=>[1,5,4,7,3,2,8,6]
[2,6,7,5,1,4,3,8]=>[5,2,4,1,7,6,3,8]
[4,5,2,8,1,3,7,6]=>[8,5,1,4,2,7,3,6]
[8,3,6,5,1,4,7,2]=>[5,6,7,2,8,1,4,3]
[2,4,5,8,1,3,7,6]=>[8,2,1,4,5,7,3,6]
[1,4,3,5,8,7,2,6]=>[1,7,4,3,5,2,8,6]
[6,2,3,1,7,4,5,8]=>[3,6,2,7,4,1,5,8]
[7,2,3,8,1,6,4,5]=>[8,7,2,6,4,1,3,5]
[8,2,7,4,6,3,1,5]=>[3,6,8,7,2,4,1,5]
[6,1,3,4,7,8,2,5]=>[6,8,1,3,2,4,7,5]
[2,5,3,6,7,8,1,4]=>[8,2,5,1,3,6,7,4]
[1,5,6,2,7,8,4,3]=>[1,6,4,8,5,2,7,3]
[5,1,8,4,3,7,6,2]=>[5,6,4,7,1,8,2,3]
[8,4,3,1,6,7,5,2]=>[3,4,8,5,7,1,6,2]
[5,2,4,1,6,7,3,8]=>[4,5,7,2,1,6,3,8]
[8,2,1,3,6,7,5,4]=>[2,8,1,5,7,3,6,4]
[4,2,1,8,6,7,5,3]=>[2,4,5,1,7,8,6,3]
[1,7,8,2,6,3,4,5]=>[1,8,6,3,4,2,7,5]
[2,7,8,6,5,3,1,4]=>[3,2,5,1,6,8,7,4]
[6,5,7,1,2,4,8,3]=>[7,1,8,2,6,5,4,3]
[8,6,2,5,3,4,1,7]=>[4,6,5,3,2,8,1,7]
[7,2,8,1,3,5,4,6]=>[8,7,1,5,3,4,2,6]
[5,2,4,6,7,8,1,3]=>[8,5,1,2,4,6,7,3]
[8,5,1,4,6,7,2,3]=>[5,8,1,2,7,4,6,3]
[8,1,4,6,5,7,3,2]=>[8,3,7,1,6,4,5,2]
[6,3,1,5,8,4,2,7]=>[3,6,4,8,2,5,1,7]
[2,8,3,5,6,1,4,7]=>[6,2,8,1,3,5,4,7]
[1,3,6,4,2,7,5,8]=>[1,4,3,6,7,2,5,8]
[2,3,7,5,8,1,4,6]=>[8,2,3,1,7,4,5,6]
[3,2,8,5,6,1,4,7]=>[6,3,2,1,8,5,4,7]
[7,2,5,8,1,4,6,3]=>[8,7,6,1,2,4,5,3]
[4,7,5,8,1,2,6,3]=>[8,1,6,4,7,2,5,3]
[4,7,5,8,1,2,3,6]=>[8,1,2,4,7,3,5,6]
[3,4,7,5,2,8,1,6]=>[8,5,3,4,7,1,2,6]
[4,3,2,5,7,8,1,6]=>[8,3,4,2,5,1,7,6]
[2,4,7,5,8,3,1,6]=>[3,2,8,4,7,1,5,6]
[2,5,4,7,3,8,1,6]=>[8,2,7,5,4,1,3,6]
[3,7,8,4,2,1,6,5]=>[2,4,3,8,6,1,7,5]
[4,3,5,6,8,1,2,7]=>[8,1,4,3,5,6,2,7]
[4,6,5,8,1,2,3,7]=>[8,1,2,4,6,5,3,7]
[6,3,5,8,7,4,2,1]=>[2,4,7,6,1,5,8,3]
[4,8,2,7,6,3,1,5]=>[3,6,7,4,1,8,2,5]
[4,1,3,5,6,8,2,7]=>[4,8,1,3,5,6,2,7]
[8,5,4,7,6,3,1,2]=>[3,1,6,5,7,8,2,4]
[6,1,3,4,8,7,5,2]=>[6,5,1,3,7,4,8,2]
[1,4,8,2,7,5,6,3]=>[1,8,6,4,7,5,2,3]
[2,4,8,1,7,5,3,6]=>[8,2,5,4,7,3,1,6]
[2,4,1,8,3,7,6,5]=>[4,2,8,1,6,7,3,5]
[6,3,4,8,7,5,2,1]=>[2,5,7,1,6,4,8,3]
[6,8,1,4,5,2,7,3]=>[8,5,7,1,4,6,2,3]
[3,6,1,8,5,7,2,4]=>[6,7,3,2,8,1,5,4]
[1,5,4,8,7,6,2,3]=>[1,6,2,5,4,7,8,3]
[3,2,4,5,8,1,6,7]=>[8,3,2,4,5,1,6,7]
[4,3,8,5,1,6,2,7]=>[5,8,4,3,6,2,1,7]
[1,4,7,8,2,5,3,6]=>[1,8,5,4,2,3,7,6]
[3,8,4,2,7,6,1,5]=>[6,4,3,7,2,8,1,5]
[3,6,8,4,2,7,1,5]=>[7,4,3,8,1,6,2,5]
[3,7,5,1,6,2,8,4]=>[5,7,3,6,8,2,4,1]
[4,8,3,7,6,2,1,5]=>[2,6,7,4,3,8,1,5]
[1,4,7,6,3,8,2,5]=>[1,8,6,4,2,7,3,5]
[4,6,8,3,7,2,1,5]=>[2,7,8,4,1,6,3,5]
[3,6,5,1,7,2,8,4]=>[5,6,3,7,8,2,4,1]
[7,4,1,6,2,8,5,3]=>[4,7,6,5,8,2,3,1]
[7,4,2,8,5,1,6,3]=>[5,4,8,7,6,3,2,1]
[1,3,6,8,2,4,7,5]=>[1,8,3,2,7,6,4,5]
[6,8,3,7,4,2,1,5]=>[2,4,7,8,3,6,1,5]
[1,6,7,4,3,8,2,5]=>[1,8,4,7,2,6,3,5]
[7,3,1,6,5,2,8,4]=>[3,7,5,6,8,2,4,1]
[6,1,8,5,4,2,7,3]=>[6,4,5,8,7,1,2,3]
[8,5,4,2,7,1,6,3]=>[7,4,5,8,6,1,2,3]
[4,6,1,8,5,2,7,3]=>[6,5,8,4,7,1,3,2]
[4,8,5,1,6,2,7,3]=>[5,8,6,4,7,2,3,1]
[8,5,4,1,6,2,7,3]=>[4,5,8,6,7,3,1,2]
[5,7,3,1,6,2,8,4]=>[3,7,6,8,5,2,1,4]
[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]
[5,6,3,1,7,2,8,4]=>[3,6,7,8,5,2,1,4]
[4,7,2,8,5,1,6,3]=>[5,8,7,4,6,2,3,1]
[4,6,1,7,2,8,5,3]=>[6,7,5,4,8,1,2,3]
[2,4,3,8,7,5,1,6]=>[5,2,4,3,7,1,8,6]
[3,5,4,1,8,6,2,7]=>[4,5,3,6,2,8,1,7]
[6,5,7,3,1,4,8,2]=>[3,7,8,2,6,5,4,1]
[4,1,5,8,2,6,3,7]=>[4,8,6,1,5,2,3,7]
[3,2,4,7,5,1,8,6]=>[5,3,2,4,7,8,1,6]
[4,3,5,8,6,1,2,7]=>[6,1,4,3,5,8,2,7]
[2,8,1,3,4,7,6,5]=>[8,2,1,3,6,7,4,5]
[4,3,5,8,6,2,1,7]=>[2,6,4,3,5,8,1,7]
[7,8,6,2,1,5,4,3]=>[2,6,4,5,1,8,7,3]
[7,8,6,2,1,4,5,3]=>[2,6,5,1,4,8,7,3]
[2,1,3,7,5,8,6,4]=>[2,1,3,6,8,7,4,5]
[3,2,4,8,6,5,1,7]=>[5,3,2,4,6,8,1,7]
[8,6,2,7,3,5,1,4]=>[5,6,8,1,2,7,3,4]
[2,8,6,1,3,7,5,4]=>[6,2,1,5,8,7,4,3]
[6,7,5,2,4,8,1,3]=>[8,5,1,2,7,6,4,3]
[7,6,8,4,2,5,1,3]=>[5,4,1,8,2,7,6,3]
[8,6,7,2,3,5,1,4]=>[5,7,2,1,3,8,6,4]
[7,8,6,2,4,5,1,3]=>[5,6,1,2,4,8,7,3]
[2,1,3,8,7,5,6,4]=>[2,1,3,6,7,5,8,4]
[8,1,7,3,6,5,2,4]=>[8,5,6,3,7,2,1,4]
[1,6,4,7,3,8,5,2]=>[1,5,8,7,6,2,4,3]
[4,5,7,6,1,2,3,8]=>[6,1,2,4,5,7,3,8]
[3,6,5,7,1,2,4,8]=>[7,1,3,2,6,5,4,8]
[4,8,1,6,3,7,2,5]=>[8,7,6,4,2,1,3,5]
[4,8,5,6,3,2,7,1]=>[7,3,6,4,8,5,2,1]
[1,7,8,6,4,5,2,3]=>[1,5,2,6,4,8,7,3]
[6,7,2,1,4,8,5,3]=>[2,7,5,1,8,6,4,3]
[2,6,4,8,5,7,1,3]=>[7,2,1,6,8,4,5,3]
[6,4,2,5,8,7,1,3]=>[7,4,1,6,2,5,8,3]
[8,5,4,1,6,3,7,2]=>[4,5,8,7,6,3,2,1]
[1,8,6,3,4,5,7,2]=>[1,7,6,3,4,8,5,2]
[3,7,8,6,4,5,1,2]=>[5,1,3,6,4,8,7,2]
[1,7,6,2,4,8,5,3]=>[1,6,5,3,7,8,4,2]
[8,2,7,3,6,5,1,4]=>[5,6,8,2,7,1,3,4]
[7,2,8,6,1,4,5,3]=>[6,8,5,2,4,7,1,3]
[5,2,7,3,4,8,6,1]=>[6,5,8,1,2,7,4,3]
[5,7,3,2,4,8,6,1]=>[6,3,8,1,5,7,4,2]
[2,6,8,5,4,3,1,7]=>[3,2,4,5,8,6,1,7]
[2,8,4,6,3,5,1,7]=>[5,2,6,8,3,4,1,7]
[1,8,4,3,5,6,2,7]=>[1,6,4,8,3,5,2,7]
[2,7,8,3,6,4,5,1]=>[5,2,8,6,4,3,7,1]
[8,3,1,4,2,5,6,7]=>[3,8,4,2,1,5,6,7]
[2,6,4,8,5,3,1,7]=>[3,2,5,8,6,1,4,7]
[3,8,1,4,6,5,2,7]=>[8,5,3,1,6,4,2,7]
[2,7,5,4,1,8,3,6]=>[4,2,5,7,8,3,1,6]
[4,6,1,8,5,3,2,7]=>[6,3,5,4,8,1,2,7]
[3,8,5,2,1,6,4,7]=>[2,5,3,8,6,4,1,7]
[5,1,4,8,2,6,3,7]=>[5,8,6,1,4,2,3,7]
[4,5,8,1,3,7,6,2]=>[8,6,1,4,5,7,3,2]
[8,6,7,1,4,3,2,5]=>[7,3,4,1,2,8,6,5]
[1,4,7,8,6,3,5,2]=>[1,5,6,4,3,8,7,2]
[8,5,2,6,3,4,7,1]=>[7,5,8,2,6,3,4,1]
[8,3,6,1,2,7,4,5]=>[6,1,8,7,4,3,2,5]
[3,8,6,1,2,5,7,4]=>[6,1,3,8,4,7,5,2]
[3,7,6,2,1,8,5,4]=>[2,6,3,5,7,8,4,1]
[4,3,7,6,1,8,5,2]=>[6,5,4,3,7,8,2,1]
[8,6,3,2,7,1,5,4]=>[7,3,6,5,1,8,2,4]
[6,8,1,5,4,7,2,3]=>[8,7,2,5,1,6,4,3]
[6,7,2,5,4,8,1,3]=>[8,7,1,5,2,6,4,3]
[7,6,2,4,8,5,1,3]=>[5,8,2,1,6,7,4,3]
[4,6,8,7,3,1,2,5]=>[3,1,7,4,2,6,8,5]
[8,7,5,2,1,4,3,6]=>[2,5,4,1,7,3,8,6]
[5,7,2,1,6,3,4,8]=>[2,7,6,3,5,1,4,8]
[5,3,6,8,7,4,1,2]=>[4,1,7,5,2,6,8,3]
[4,3,1,7,2,5,6,8]=>[3,4,7,2,1,5,6,8]
[7,8,4,6,2,3,5,1]=>[5,6,2,8,3,4,7,1]
[5,7,2,6,8,3,4,1]=>[4,7,8,3,5,2,6,1]
[2,6,8,1,7,3,5,4]=>[8,2,7,5,3,6,1,4]
[7,3,4,5,2,1,8,6]=>[2,5,7,3,4,8,1,6]
[7,3,4,5,2,8,6,1]=>[6,5,8,1,4,7,2,3]
[4,7,5,2,6,3,8,1]=>[8,5,7,4,6,3,2,1]
[3,5,6,2,8,1,4,7]=>[8,6,3,1,5,2,4,7]
[4,8,5,2,6,3,7,1]=>[7,5,8,4,6,3,2,1]
[2,7,4,6,1,3,5,8]=>[6,2,1,7,3,4,5,8]
[3,1,8,6,7,2,5,4]=>[3,7,1,5,2,8,6,4]
[8,7,2,5,6,4,1,3]=>[4,6,2,7,1,5,8,3]
[2,7,4,6,8,3,1,5]=>[3,2,8,7,1,4,6,5]
[7,1,5,6,8,4,2,3]=>[7,4,2,8,1,5,6,3]
[8,1,2,5,6,4,7,3]=>[8,1,7,6,2,5,4,3]
[2,8,5,1,6,3,7,4]=>[5,2,8,6,7,3,4,1]
[5,1,2,4,3,7,6,8]=>[5,1,4,2,3,7,6,8]
[6,1,8,2,4,3,5,7]=>[6,8,4,2,3,1,5,7]
[7,6,1,5,3,4,2,8]=>[6,4,5,3,1,7,2,8]
[7,6,1,3,5,4,2,8]=>[6,4,1,5,3,7,2,8]
[7,2,4,1,3,6,5,8]=>[4,7,1,2,6,3,5,8]
[7,6,2,3,1,5,4,8]=>[3,6,2,5,1,7,4,8]
[1,6,8,2,5,3,4,7]=>[1,8,5,3,2,6,4,7]
[8,5,2,7,3,6,4,1]=>[4,6,5,8,7,3,1,2]
[3,6,4,1,8,2,5,7]=>[4,6,3,8,1,2,5,7]
[8,7,6,2,4,5,1,3]=>[5,6,1,2,4,7,8,3]
[8,5,2,7,3,6,1,4]=>[6,5,8,1,7,2,3,4]
[5,3,8,1,7,4,6,2]=>[8,6,5,7,3,4,1,2]
[8,7,6,2,4,5,3,1]=>[3,5,6,1,4,7,8,2]
[8,7,4,6,3,1,5,2]=>[3,6,5,7,2,4,8,1]
[8,7,5,6,1,3,2,4]=>[6,3,1,2,7,5,8,4]
[5,4,8,7,1,2,6,3]=>[7,1,6,5,4,2,8,3]
[1,8,7,5,4,2,6,3]=>[1,4,5,7,6,2,8,3]
[8,1,2,6,5,4,7,3]=>[8,1,7,5,6,2,4,3]
[2,5,6,4,3,8,1,7]=>[8,2,4,6,5,3,1,7]
[1,2,5,6,4,8,3,7]=>[1,2,8,6,5,4,3,7]
[4,1,8,5,2,7,3,6]=>[4,5,8,1,7,2,3,6]
[8,7,3,5,1,4,6,2]=>[5,6,7,1,3,4,8,2]
[8,6,3,5,2,1,4,7]=>[2,5,6,1,3,8,4,7]
[4,6,3,1,8,2,5,7]=>[3,6,8,4,1,2,5,7]
[8,4,5,2,1,7,3,6]=>[2,5,7,8,4,3,1,6]
[8,7,3,5,2,6,1,4]=>[6,5,7,1,3,2,8,4]
[8,7,3,5,2,4,6,1]=>[6,5,7,2,3,4,8,1]
[8,4,2,7,6,5,1,3]=>[5,4,1,6,7,8,2,3]
[3,2,1,7,4,8,6,5]=>[2,3,1,7,6,8,4,5]
[2,6,3,4,8,1,7,5]=>[8,2,6,3,7,4,1,5]
[7,5,3,4,2,8,6,1]=>[6,4,5,1,8,7,2,3]
[4,6,3,8,5,2,7,1]=>[7,5,8,4,6,2,3,1]
[1,8,7,6,2,3,5,4]=>[1,6,2,5,3,7,8,4]
[8,7,1,4,5,6,2,3]=>[7,6,2,1,4,5,8,3]
[8,4,3,1,5,6,2,7]=>[3,4,8,6,1,5,2,7]
[4,1,3,8,5,6,2,7]=>[4,6,1,3,8,5,2,7]
[7,1,8,4,5,6,2,3]=>[7,6,2,8,4,5,1,3]
[2,7,8,4,5,6,1,3]=>[6,2,1,8,4,5,7,3]
[5,2,4,7,1,6,3,8]=>[7,5,6,2,4,1,3,8]
[3,2,1,5,8,7,4,6]=>[2,3,1,7,5,4,8,6]
[5,2,8,3,1,6,7,4]=>[3,8,5,7,1,2,6,4]
[6,8,3,4,2,1,5,7]=>[2,4,8,3,1,6,5,7]
[7,8,3,4,2,6,5,1]=>[5,4,6,1,8,2,7,3]
[1,7,8,6,3,2,5,4]=>[1,3,6,5,2,8,7,4]
[3,7,2,4,5,6,1,8]=>[6,7,3,2,4,5,1,8]
[2,7,1,4,5,6,3,8]=>[7,2,6,1,4,5,3,8]
[3,2,8,1,5,7,4,6]=>[8,3,2,7,1,4,5,6]
[8,1,7,4,5,6,3,2]=>[8,3,6,7,4,5,1,2]
[3,4,6,7,2,1,5,8]=>[2,7,3,4,1,6,5,8]
[2,3,1,7,4,6,8,5]=>[3,2,1,7,8,4,6,5]
[1,2,6,5,7,3,4,8]=>[1,2,7,3,6,5,4,8]
[7,8,6,5,1,3,4,2]=>[5,4,1,3,6,8,7,2]
[7,2,5,4,6,8,3,1]=>[3,8,7,5,1,4,6,2]
[4,3,5,1,6,7,2,8]=>[5,7,4,3,1,6,2,8]
[6,4,1,7,8,3,5,2]=>[4,6,5,8,1,2,7,3]
[2,6,7,1,4,3,8,5]=>[7,2,4,1,8,6,3,5]
[5,7,6,2,1,8,3,4]=>[2,6,7,1,5,8,3,4]
[6,3,7,4,5,1,2,8]=>[5,1,6,7,4,3,2,8]
[4,2,5,3,8,6,7,1]=>[7,4,5,2,3,8,6,1]
[3,2,7,4,8,5,6,1]=>[6,3,2,7,8,5,4,1]
[7,2,5,1,6,3,8,4]=>[5,7,6,8,2,1,3,4]
[6,3,8,5,4,2,7,1]=>[7,4,5,8,6,3,2,1]
[7,4,6,1,3,5,2,8]=>[6,5,1,7,3,4,2,8]
[1,5,3,8,7,4,6,2]=>[1,6,5,7,3,4,8,2]
[5,1,3,8,7,4,6,2]=>[5,6,1,7,3,4,8,2]
[2,5,3,8,7,4,1,6]=>[4,2,7,5,1,3,8,6]
[6,8,3,5,1,2,7,4]=>[5,1,8,7,3,6,2,4]
[5,8,2,7,4,6,3,1]=>[3,6,8,7,5,4,1,2]
[4,5,2,8,3,7,1,6]=>[7,5,8,4,2,1,3,6]
[7,8,5,1,6,4,3,2]=>[5,3,4,8,6,2,7,1]
[8,7,5,1,6,4,3,2]=>[5,3,4,7,6,2,8,1]
[4,5,8,3,1,2,7,6]=>[3,1,8,4,5,7,2,6]
[4,6,8,3,2,1,7,5]=>[2,3,8,4,7,6,1,5]
[4,6,8,3,5,1,2,7]=>[5,1,8,4,3,6,2,7]
[4,5,8,3,1,6,2,7]=>[3,8,6,4,5,2,1,7]
[4,6,7,3,5,2,1,8]=>[2,5,7,4,3,6,1,8]
[5,4,2,6,1,7,3,8]=>[6,4,5,7,3,1,2,8]
[7,2,6,3,4,8,1,5]=>[8,7,6,3,1,2,4,5]
[1,8,5,2,4,3,7,6]=>[1,5,4,2,8,7,3,6]
[2,5,1,3,4,8,7,6]=>[5,2,1,3,4,7,8,6]
[1,4,6,3,7,5,2,8]=>[1,5,7,4,6,2,3,8]
[6,5,8,3,4,7,2,1]=>[2,7,8,3,6,5,4,1]
[4,5,2,6,8,7,3,1]=>[3,7,5,4,1,6,8,2]
[4,7,6,3,1,5,2,8]=>[3,6,5,4,2,7,1,8]
[1,7,6,3,8,5,2,4]=>[1,5,8,3,6,7,2,4]
[3,7,8,1,4,5,6,2]=>[8,6,3,1,4,5,7,2]
[2,7,3,1,4,5,6,8]=>[3,2,7,1,4,5,6,8]
[1,8,7,4,2,5,6,3]=>[1,4,7,6,3,5,8,2]
[1,8,4,2,7,5,6,3]=>[1,4,8,6,7,5,3,2]
[6,4,1,3,7,5,8,2]=>[4,6,2,8,7,3,5,1]
[1,3,8,7,4,5,6,2]=>[1,6,3,7,4,5,8,2]
[7,3,1,8,4,5,6,2]=>[3,7,6,8,4,5,2,1]
[3,2,8,7,4,5,6,1]=>[6,3,2,7,4,5,8,1]
[6,2,4,3,7,5,8,1]=>[8,6,4,2,7,3,5,1]
[2,6,4,3,7,5,1,8]=>[5,2,4,7,6,1,3,8]
[6,4,2,5,1,7,8,3]=>[5,4,6,8,3,1,7,2]
[3,8,2,1,5,7,6,4]=>[2,8,3,6,1,7,5,4]
[1,8,3,2,5,7,6,4]=>[1,3,8,6,2,7,5,4]
[1,3,2,8,7,4,6,5]=>[1,3,2,7,6,4,8,5]
[3,8,2,1,7,4,6,5]=>[2,8,3,7,6,4,1,5]
[7,5,2,8,3,1,6,4]=>[3,8,5,7,6,2,4,1]
[4,6,7,3,2,5,1,8]=>[5,3,7,4,2,6,1,8]
[1,8,4,7,3,5,6,2]=>[1,6,7,8,3,5,4,2]
[5,4,2,7,3,8,6,1]=>[6,4,5,8,3,7,1,2]
[5,7,2,1,3,8,6,4]=>[2,7,1,6,5,8,3,4]
[4,6,3,7,8,1,2,5]=>[8,1,6,4,2,3,7,5]
[4,6,2,7,1,5,8,3]=>[7,6,8,4,1,2,5,3]
[2,7,5,4,1,6,8,3]=>[4,2,5,7,8,1,6,3]
[6,8,5,4,7,1,2,3]=>[7,1,2,5,8,6,4,3]
[8,3,5,4,7,1,2,6]=>[7,1,8,5,3,2,4,6]
[6,2,5,4,8,7,3,1]=>[3,7,6,5,1,4,8,2]
[6,2,5,4,1,7,8,3]=>[4,5,6,8,3,2,7,1]
[8,2,5,1,3,6,7,4]=>[5,8,1,7,2,3,6,4]
[8,1,6,4,3,2,7,5]=>[8,3,4,6,7,1,2,5]
[5,1,8,4,3,2,7,6]=>[5,3,4,8,1,7,2,6]
[4,1,5,6,3,8,7,2]=>[4,7,6,1,5,3,8,2]
[8,5,1,6,3,2,4,7]=>[5,3,8,1,6,2,4,7]
[6,8,7,4,3,2,5,1]=>[5,3,4,7,2,6,8,1]
[1,7,8,4,3,2,5,6]=>[1,3,4,8,2,5,7,6]
[1,8,6,4,3,2,5,7]=>[1,3,4,6,2,8,5,7]
[8,1,6,5,3,2,4,7]=>[8,3,5,2,6,1,4,7]
[8,2,1,4,5,6,3,7]=>[2,8,6,1,4,5,3,7]
[8,1,5,4,6,7,3,2]=>[8,3,7,5,1,4,6,2]
[2,8,5,6,3,7,4,1]=>[4,2,7,6,8,5,1,3]
[5,6,8,3,1,2,4,7]=>[3,1,8,2,5,6,4,7]
[2,8,5,1,3,7,6,4]=>[5,2,1,8,6,7,4,3]
[2,4,5,8,3,7,6,1]=>[6,2,7,4,5,8,1,3]
[8,3,5,4,1,7,6,2]=>[4,5,6,7,3,8,2,1]
[8,2,3,4,1,6,5,7]=>[4,8,2,3,6,1,5,7]
[8,1,4,6,3,2,5,7]=>[8,3,6,1,2,4,5,7]
[5,6,4,1,8,2,7,3]=>[4,6,8,7,5,2,3,1]
[6,4,5,1,3,8,7,2]=>[5,7,1,6,4,3,8,2]
[6,1,3,5,4,8,2,7]=>[6,8,1,5,3,4,2,7]
[1,3,8,7,2,5,6,4]=>[1,7,3,6,2,5,8,4]
[2,5,4,1,8,3,7,6]=>[4,2,5,8,3,7,1,6]
[5,1,4,8,3,7,6,2]=>[5,6,7,1,4,8,2,3]
[8,4,1,2,7,6,5,3]=>[4,1,8,5,6,7,3,2]
[4,8,3,2,7,6,5,1]=>[5,3,6,4,7,8,2,1]
[1,8,7,3,4,6,5,2]=>[1,5,6,2,7,4,8,3]
[5,3,1,2,4,6,8,7]=>[3,1,5,2,4,6,8,7]
[8,5,7,3,1,2,4,6]=>[3,1,7,2,8,4,5,6]
[3,1,2,8,7,5,4,6]=>[3,1,2,5,7,4,8,6]
[2,5,8,4,1,3,6,7]=>[4,2,1,8,5,3,6,7]
[5,1,3,2,8,4,6,7]=>[5,3,1,8,2,4,6,7]
[1,4,8,3,5,2,6,7]=>[1,5,8,4,3,2,6,7]
[1,4,3,8,5,7,2,6]=>[1,7,4,3,8,2,5,6]
[1,8,3,4,7,5,2,6]=>[1,5,7,2,8,3,4,6]
[6,7,1,5,2,8,4,3]=>[7,5,4,8,1,6,2,3]
[1,5,3,7,6,4,8,2]=>[1,8,5,6,3,7,4,2]
[4,8,1,3,6,2,7,5]=>[8,6,1,4,7,3,2,5]
[2,7,3,4,8,6,5,1]=>[5,2,6,3,8,7,4,1]
[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]
[5,8,1,7,3,2,4,6]=>[8,3,7,2,5,4,1,6]
[2,7,4,3,5,8,6,1]=>[6,2,4,8,1,7,5,3]
[8,7,3,6,2,1,4,5]=>[2,6,7,1,4,3,8,5]
[2,1,5,8,3,4,7,6]=>[2,1,8,3,5,7,4,6]
[3,8,5,1,2,7,4,6]=>[5,1,3,8,7,2,4,6]
[2,7,1,6,5,8,3,4]=>[7,2,8,3,6,1,5,4]
[6,2,3,8,1,5,7,4]=>[8,6,2,7,1,3,5,4]
[6,2,3,5,7,4,8,1]=>[8,6,2,7,3,5,4,1]
[6,4,7,5,3,8,2,1]=>[2,8,5,7,6,3,4,1]
[2,5,7,4,8,3,6,1]=>[6,2,8,7,5,3,4,1]
[8,5,6,2,4,7,1,3]=>[7,6,1,2,8,5,4,3]
[6,3,1,5,8,2,7,4]=>[3,6,8,7,2,5,1,4]
[5,6,1,7,3,4,8,2]=>[6,8,7,3,5,1,4,2]
[4,8,5,6,7,1,3,2]=>[7,3,1,4,8,5,6,2]
[5,1,2,6,8,7,4,3]=>[5,1,4,7,2,6,8,3]
[1,3,4,6,8,2,7,5]=>[1,8,3,4,7,6,2,5]
[4,2,8,7,5,6,3,1]=>[3,6,4,1,7,5,8,2]
[5,1,7,2,6,8,4,3]=>[5,7,4,8,1,2,6,3]
[8,1,5,7,3,6,4,2]=>[8,4,6,7,1,2,5,3]
[6,5,1,8,2,4,7,3]=>[5,6,8,3,7,2,4,1]
[4,3,7,1,2,8,5,6]=>[7,1,4,3,8,5,2,6]
[2,6,7,3,8,4,5,1]=>[5,2,7,8,4,6,3,1]
[2,7,6,4,3,8,5,1]=>[5,2,4,8,6,7,1,3]
[5,1,7,4,6,2,3,8]=>[5,6,2,7,1,4,3,8]
[4,2,7,5,3,6,1,8]=>[6,4,5,2,7,3,1,8]
[3,8,6,2,7,5,4,1]=>[4,5,3,7,6,8,2,1]
[3,1,7,6,5,2,4,8]=>[3,5,1,2,6,7,4,8]
[4,8,1,6,2,5,3,7]=>[8,6,5,4,2,1,3,7]
[6,8,2,7,5,1,3,4]=>[5,7,2,3,8,6,1,4]
[1,8,4,2,5,7,3,6]=>[1,4,8,7,3,2,5,6]
[5,8,3,1,2,4,6,7]=>[3,1,8,2,5,4,6,7]
[8,5,3,1,4,2,6,7]=>[3,5,4,2,8,1,6,7]
[1,4,8,5,2,3,6,7]=>[1,5,2,4,8,3,6,7]
[1,4,8,5,2,3,7,6]=>[1,5,2,4,8,7,3,6]
[7,2,5,8,1,4,3,6]=>[8,7,4,1,2,3,5,6]
[7,1,4,2,6,8,3,5]=>[7,4,8,1,3,2,6,5]
[1,7,5,8,6,2,3,4]=>[1,6,2,3,8,7,4,5]
[8,4,6,1,2,7,3,5]=>[6,1,7,8,3,4,2,5]
[8,4,7,1,2,6,3,5]=>[7,1,6,8,3,2,4,5]
[1,5,8,7,2,4,3,6]=>[1,7,4,2,5,3,8,6]
[1,5,4,2,8,3,7,6]=>[1,4,5,8,3,7,2,6]
[1,2,8,7,3,5,4,6]=>[1,2,7,5,3,4,8,6]
[8,7,1,3,2,5,4,6]=>[7,3,1,5,2,4,8,6]
[3,7,1,2,6,8,4,5]=>[7,1,3,8,4,2,6,5]
[6,7,4,2,8,1,3,5]=>[8,4,1,7,3,6,2,5]
[4,1,6,8,7,2,3,5]=>[4,7,2,1,3,6,8,5]
[4,1,6,8,2,7,3,5]=>[4,8,7,1,3,6,2,5]
[6,8,3,7,4,1,2,5]=>[4,1,7,8,3,6,2,5]
[1,2,5,7,6,8,3,4]=>[1,2,8,3,5,7,6,4]
[4,7,5,6,2,8,3,1]=>[3,8,6,4,7,5,1,2]
[8,4,3,6,7,5,2,1]=>[2,5,4,7,8,1,6,3]
[6,7,5,2,8,4,3,1]=>[3,4,8,5,7,6,2,1]
[6,8,4,3,2,7,5,1]=>[5,3,4,7,8,6,1,2]
[6,5,1,4,7,8,2,3]=>[5,6,1,2,8,4,7,3]
[2,7,6,3,5,4,8,1]=>[8,2,6,5,3,7,4,1]
[3,8,1,5,7,6,2,4]=>[8,6,3,2,1,7,5,4]
[6,1,7,3,5,8,2,4]=>[6,8,7,2,3,1,5,4]
[7,5,4,1,8,3,6,2]=>[4,5,7,6,8,2,3,1]
[7,1,2,8,4,6,3,5]=>[7,1,6,8,3,4,2,5]
[8,6,1,7,5,3,4,2]=>[6,4,5,1,8,7,3,2]
[8,2,6,3,5,7,4,1]=>[4,7,8,6,1,3,5,2]
[1,3,7,6,4,8,2,5]=>[1,8,3,6,2,7,4,5]
[1,8,6,5,7,2,4,3]=>[1,7,4,2,6,8,5,3]
[2,8,7,6,4,1,5,3]=>[4,2,6,5,3,7,8,1]
[2,6,4,8,7,3,1,5]=>[3,2,7,6,1,4,8,5]
[2,1,8,7,3,5,4,6]=>[2,1,7,5,3,4,8,6]
[3,1,6,5,4,8,7,2]=>[3,7,1,5,6,4,8,2]
[5,4,2,8,7,6,3,1]=>[3,6,4,5,1,7,8,2]
[6,2,5,8,7,4,3,1]=>[3,4,7,6,2,5,8,1]
[6,1,5,8,7,4,3,2]=>[6,3,4,7,1,5,8,2]
[6,1,8,5,7,4,3,2]=>[6,3,4,7,8,1,5,2]
[8,5,1,4,7,6,3,2]=>[5,3,8,2,6,7,4,1]
[8,1,4,2,7,6,5,3]=>[8,4,5,1,6,7,2,3]
[8,5,2,4,7,6,3,1]=>[3,6,5,2,7,8,4,1]
[8,2,7,6,3,1,5,4]=>[3,6,7,5,1,8,2,4]
[8,6,1,2,5,7,4,3]=>[6,1,4,8,3,7,5,2]
[8,1,3,7,2,4,6,5]=>[8,7,1,2,6,4,3,5]
[2,6,7,3,5,8,4,1]=>[4,2,8,7,1,6,5,3]
[2,6,7,3,5,8,1,4]=>[8,2,7,1,3,6,5,4]
[5,3,1,6,4,8,2,7]=>[3,5,8,6,2,4,1,7]
[2,5,6,7,1,4,8,3]=>[7,2,8,1,5,6,4,3]
[2,7,3,5,8,4,6,1]=>[6,2,7,8,3,4,5,1]
[4,7,5,3,2,8,1,6]=>[8,3,5,4,7,1,2,6]
[5,2,3,6,8,4,1,7]=>[4,8,1,5,3,6,2,7]
[4,7,5,2,8,6,1,3]=>[6,5,2,4,8,7,1,3]
[3,7,6,4,8,2,5,1]=>[5,8,3,6,2,7,4,1]
[3,4,2,5,7,1,8,6]=>[7,4,3,2,5,8,1,6]
[5,1,3,6,8,2,4,7]=>[5,8,1,2,3,6,4,7]
[5,1,3,6,8,2,7,4]=>[5,8,1,7,3,6,2,4]
[2,7,6,1,5,4,8,3]=>[6,2,7,5,3,8,4,1]
[3,8,6,7,2,5,4,1]=>[4,5,3,7,1,8,6,2]
[5,8,1,2,7,4,3,6]=>[8,1,4,7,5,3,2,6]
[6,3,1,8,2,4,5,7]=>[3,6,8,1,4,2,5,7]
[7,2,1,4,6,8,5,3]=>[2,7,5,1,8,4,6,3]
[4,6,3,7,8,1,5,2]=>[8,5,6,4,1,3,7,2]
[6,3,1,8,4,5,2,7]=>[3,6,5,8,4,2,1,7]
[4,2,3,6,8,1,7,5]=>[8,4,2,3,7,6,1,5]
[3,6,2,4,8,7,5,1]=>[5,7,3,1,6,4,8,2]
[4,3,2,7,5,8,6,1]=>[6,3,4,2,8,7,1,5]
[7,1,3,5,8,4,6,2]=>[7,6,1,8,3,4,5,2]
[2,1,4,7,5,8,6,3]=>[2,1,6,4,8,7,3,5]
[3,6,8,5,2,1,4,7]=>[2,5,3,1,8,6,4,7]
[7,2,6,4,8,3,5,1]=>[5,7,8,6,3,2,4,1]
[7,6,2,4,8,3,1,5]=>[3,8,6,1,2,7,4,5]
[6,5,8,1,4,3,7,2]=>[8,7,4,1,6,5,3,2]
[8,1,4,2,7,5,6,3]=>[8,4,6,1,7,5,2,3]
[6,3,4,2,7,5,8,1]=>[8,4,6,3,7,2,5,1]
[6,2,7,5,8,3,4,1]=>[4,6,8,3,7,2,5,1]
[4,2,7,5,8,1,6,3]=>[8,4,6,2,7,1,5,3]
[8,3,4,1,6,2,7,5]=>[4,6,8,3,7,1,2,5]
[8,6,3,5,2,1,7,4]=>[2,5,6,8,4,7,1,3]
[6,8,3,1,2,5,4,7]=>[3,1,8,5,2,6,4,7]
[5,8,6,4,7,1,2,3]=>[7,1,2,6,5,8,4,3]
[2,5,1,8,7,3,4,6]=>[5,2,7,3,1,4,8,6]
[7,2,4,3,8,6,1,5]=>[6,8,4,1,2,7,3,5]
[6,8,4,3,5,1,7,2]=>[5,7,4,8,3,6,1,2]
[4,2,6,7,1,5,8,3]=>[7,4,8,2,1,6,5,3]
[1,7,5,6,8,4,2,3]=>[1,4,2,8,7,5,6,3]
[6,3,8,1,7,4,5,2]=>[8,5,6,7,4,3,1,2]
[2,5,7,6,8,4,1,3]=>[4,2,1,8,5,7,6,3]
[7,6,1,4,5,2,8,3]=>[6,5,7,3,4,8,2,1]
[1,4,6,7,2,5,8,3]=>[1,7,8,4,2,6,5,3]
[1,4,7,3,6,8,2,5]=>[1,8,7,4,2,3,6,5]
[3,7,1,4,6,8,2,5]=>[7,8,3,1,2,4,6,5]
[2,4,7,3,6,8,1,5]=>[8,2,7,4,1,3,6,5]
[5,3,7,2,6,8,1,4]=>[8,7,5,1,3,2,6,4]
[7,6,1,5,2,8,3,4]=>[6,5,7,1,3,8,2,4]
[2,1,6,7,4,5,8,3]=>[2,1,8,7,4,6,5,3]
[8,5,7,6,1,3,2,4]=>[6,3,1,2,7,8,4,5]
[2,7,5,6,1,8,4,3]=>[6,2,4,8,7,5,1,3]
[1,2,6,7,4,5,8,3]=>[1,2,8,7,4,6,5,3]
[6,5,2,8,7,1,4,3]=>[7,5,4,1,6,2,8,3]
[3,8,6,5,7,2,1,4]=>[2,7,3,1,6,8,5,4]
[3,8,7,2,5,1,6,4]=>[5,7,3,6,2,1,8,4]
[3,7,1,2,5,6,8,4]=>[7,1,3,8,2,5,6,4]
[2,7,1,4,6,8,3,5]=>[7,2,8,1,3,4,6,5]
[7,2,3,6,8,1,4,5]=>[8,7,2,1,4,3,6,5]
[8,3,1,7,5,2,6,4]=>[3,8,5,7,6,4,2,1]
[2,6,1,3,8,5,4,7]=>[6,2,1,5,8,3,4,7]
[6,4,1,8,3,2,5,7]=>[4,3,6,8,1,2,5,7]
[5,8,1,4,2,7,3,6]=>[8,4,7,1,5,3,2,6]
[5,7,1,4,2,8,3,6]=>[7,4,8,1,5,3,2,6]
[6,1,4,8,3,5,2,7]=>[6,5,8,1,3,4,2,7]
[2,3,8,6,1,5,4,7]=>[6,2,3,5,1,8,4,7]
[7,3,2,1,8,4,6,5]=>[2,3,7,8,6,4,1,5]
[8,3,2,1,6,7,4,5]=>[2,3,8,7,4,1,6,5]
[5,8,7,4,2,3,1,6]=>[3,4,2,7,5,1,8,6]
[2,7,3,8,1,4,5,6]=>[8,2,7,1,4,5,3,6]
[7,3,2,1,6,8,4,5]=>[2,3,7,8,4,1,6,5]
[2,3,1,6,8,7,4,5]=>[3,2,1,7,4,6,8,5]
[6,4,8,2,1,7,3,5]=>[2,8,7,6,3,4,1,5]
[2,3,1,8,7,5,6,4]=>[3,2,1,6,7,5,8,4]
[6,4,1,2,7,8,5,3]=>[4,1,6,5,8,3,7,2]
[6,1,4,3,2,8,7,5]=>[6,3,4,1,7,2,8,5]
[7,1,4,3,2,6,8,5]=>[7,3,4,1,8,2,6,5]
[7,4,8,2,3,6,1,5]=>[6,8,2,7,1,3,4,5]
[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]
[6,8,3,7,1,2,5,4]=>[7,1,8,5,2,6,3,4]
[6,8,2,1,4,7,3,5]=>[2,8,7,1,3,6,4,5]
[2,7,3,5,1,8,6,4]=>[5,2,7,6,3,8,1,4]
[3,7,8,1,6,5,4,2]=>[8,4,3,5,6,1,7,2]
[8,3,4,7,2,1,6,5]=>[2,7,8,3,6,1,4,5]
[1,6,7,5,2,4,3,8]=>[1,5,4,2,7,6,3,8]
[5,7,2,4,1,8,3,6]=>[4,7,8,2,5,3,1,6]
[2,8,6,4,1,5,3,7]=>[4,2,6,5,3,8,1,7]
[1,5,7,3,6,2,4,8]=>[1,6,7,2,5,3,4,8]
[7,6,1,8,2,4,3,5]=>[6,7,4,1,3,8,2,5]
[6,7,4,5,1,3,8,2]=>[5,8,1,7,4,6,3,2]
[4,1,3,2,6,8,5,7]=>[4,3,1,2,8,6,5,7]
[1,6,5,3,8,2,4,7]=>[1,8,5,2,6,3,4,7]
[7,8,3,2,5,4,1,6]=>[4,3,5,8,1,2,7,6]
[8,7,3,2,5,4,1,6]=>[4,3,5,7,1,2,8,6]
[8,1,5,7,4,3,2,6]=>[8,3,4,7,1,2,5,6]
[5,6,1,2,4,8,3,7]=>[6,1,8,2,5,4,3,7]
[5,1,2,4,6,8,3,7]=>[5,1,8,2,4,6,3,7]
[6,1,2,4,5,8,3,7]=>[6,1,8,2,4,5,3,7]
[8,7,4,5,1,3,2,6]=>[5,3,1,7,4,2,8,6]
[1,4,7,8,6,3,2,5]=>[1,3,6,4,2,8,7,5]
[5,7,1,2,8,4,3,6]=>[7,1,4,8,5,3,2,6]
[3,1,5,7,4,2,8,6]=>[3,4,1,7,5,8,2,6]
[8,5,1,2,7,4,3,6]=>[5,1,4,8,7,2,3,6]
[4,1,8,7,2,5,3,6]=>[4,7,5,1,2,3,8,6]
[7,8,6,1,2,3,5,4]=>[6,1,2,5,3,8,7,4]
[6,8,7,1,2,3,5,4]=>[7,1,2,5,3,6,8,4]
[2,6,3,8,4,1,7,5]=>[4,2,8,6,7,1,3,5]
[1,6,3,7,4,8,2,5]=>[1,8,6,7,2,3,4,5]
[2,7,3,1,6,4,8,5]=>[3,2,7,6,8,1,4,5]
[4,8,5,1,3,2,7,6]=>[5,3,1,4,8,7,2,6]
[2,7,1,6,8,3,4,5]=>[7,2,8,3,4,1,6,5]
[8,7,1,2,3,5,6,4]=>[7,1,2,6,3,5,8,4]
[3,2,4,7,6,1,8,5]=>[6,3,2,4,7,8,5,1]
[2,8,1,6,7,3,4,5]=>[8,2,7,3,4,1,6,5]
[3,2,4,6,1,8,7,5]=>[6,3,2,4,7,1,8,5]
[7,1,8,3,6,5,2,4]=>[7,5,6,3,8,2,1,4]
[3,6,7,4,1,2,5,8]=>[4,1,3,7,2,6,5,8]
[7,4,3,8,5,1,6,2]=>[5,8,4,6,7,2,1,3]
[1,4,3,6,2,8,7,5]=>[1,6,4,3,7,2,8,5]
[2,4,8,5,3,6,1,7]=>[6,2,5,4,8,3,1,7]
[2,5,4,8,7,1,3,6]=>[7,2,1,5,4,3,8,6]
[2,8,1,4,7,6,3,5]=>[8,2,6,1,3,7,4,5]
[4,6,8,5,2,1,3,7]=>[2,5,1,4,8,6,3,7]
[5,3,7,6,8,1,4,2]=>[8,4,5,1,3,7,6,2]
[5,3,6,7,2,1,4,8]=>[2,7,5,1,3,6,4,8]
[6,1,5,7,2,8,4,3]=>[6,7,4,8,1,5,2,3]
[1,4,7,5,8,2,3,6]=>[1,8,2,4,7,3,5,6]
[2,6,8,1,7,4,3,5]=>[8,2,4,7,3,6,1,5]
[1,6,8,4,7,3,2,5]=>[1,3,7,8,2,6,4,5]
[3,6,7,5,4,8,1,2]=>[8,1,3,5,7,6,4,2]
[4,5,7,2,6,3,8,1]=>[8,7,6,4,5,2,3,1]
[6,7,5,4,2,8,1,3]=>[8,4,1,5,7,6,2,3]
[5,4,1,7,8,6,3,2]=>[4,3,5,6,2,8,7,1]
[7,1,5,6,8,3,2,4]=>[7,3,8,2,1,5,6,4]
[7,5,6,4,1,8,2,3]=>[4,6,1,8,7,5,2,3]
[2,3,6,8,5,7,4,1]=>[4,2,3,7,8,6,5,1]
[4,6,8,5,7,2,1,3]=>[2,7,1,4,8,6,5,3]
[8,4,5,6,2,1,7,3]=>[2,6,7,8,4,5,1,3]
[2,1,5,7,4,6,8,3]=>[2,1,8,7,5,4,6,3]
[5,7,4,6,8,2,1,3]=>[2,8,1,7,5,4,6,3]
[5,7,1,2,3,6,8,4]=>[7,1,2,8,5,3,6,4]
[2,3,5,7,8,1,6,4]=>[8,2,3,6,5,1,7,4]
[8,2,3,5,6,4,1,7]=>[4,6,1,8,3,5,2,7]
[1,5,7,4,2,3,6,8]=>[1,4,2,7,5,3,6,8]
[2,4,7,5,1,3,6,8]=>[5,2,1,4,7,3,6,8]
[2,4,7,5,3,6,8,1]=>[8,2,5,4,7,3,6,1]
[4,7,1,3,6,2,5,8]=>[7,6,1,4,2,3,5,8]
[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]
[8,1,7,2,4,6,3,5]=>[8,7,6,2,3,4,1,5]
[2,5,8,1,4,7,3,6]=>[8,2,7,1,5,3,4,6]
[4,7,1,2,5,8,3,6]=>[7,1,8,4,2,3,5,6]
[2,3,6,8,5,7,1,4]=>[7,2,3,1,8,6,5,4]
[1,2,4,7,8,6,3,5]=>[1,2,6,4,3,8,7,5]
[2,3,5,7,8,4,1,6]=>[4,2,3,8,5,1,7,6]
[2,4,7,8,3,5,1,6]=>[5,2,8,4,3,1,7,6]
[1,3,6,2,5,8,4,7]=>[1,6,3,8,2,5,4,7]
[3,6,2,5,8,4,7,1]=>[7,6,3,8,2,5,4,1]
[2,5,8,3,6,4,7,1]=>[7,2,8,6,5,3,4,1]
[2,5,8,1,3,6,4,7]=>[8,2,1,6,5,3,4,7]
[1,5,3,6,8,2,4,7]=>[1,8,5,2,3,6,4,7]
[3,5,2,4,7,8,1,6]=>[8,5,3,2,4,1,7,6]
[8,3,5,2,4,6,1,7]=>[6,5,8,2,3,4,1,7]
[3,6,4,7,1,2,5,8]=>[7,1,3,6,2,4,5,8]
[4,8,1,2,6,3,7,5]=>[8,1,6,4,7,2,3,5]
[5,8,1,2,6,3,7,4]=>[8,1,6,7,5,2,3,4]
[1,6,2,3,7,5,8,4]=>[1,6,2,8,7,3,5,4]
[4,1,2,6,5,7,8,3]=>[4,1,8,2,6,5,7,3]
[1,8,4,2,7,3,6,5]=>[1,4,8,7,6,2,3,5]
[1,7,5,2,3,8,6,4]=>[1,5,2,7,6,8,4,3]
[8,1,4,7,3,5,2,6]=>[8,5,7,1,3,2,4,6]
[8,4,3,6,1,7,2,5]=>[6,7,4,8,2,3,1,5]
[2,6,1,8,3,7,4,5]=>[6,2,8,7,4,1,3,5]
[8,4,2,1,3,7,5,6]=>[2,4,1,8,7,5,3,6]
[2,5,1,7,6,8,3,4]=>[5,2,8,3,1,7,6,4]
[5,3,1,8,2,4,7,6]=>[3,5,8,1,2,7,4,6]
[1,2,6,3,7,5,8,4]=>[1,2,6,8,7,3,5,4]
[5,1,8,3,2,4,7,6]=>[5,3,8,2,1,7,4,6]
[3,1,5,4,6,7,8,2]=>[3,8,1,5,4,6,7,2]
[2,8,5,7,3,1,4,6]=>[3,2,7,1,8,4,5,6]
[2,6,8,7,3,1,4,5]=>[3,2,7,1,4,6,8,5]
[7,4,2,1,3,8,5,6]=>[2,4,1,7,8,5,3,6]
[7,2,1,3,8,5,4,6]=>[2,7,1,5,8,4,3,6]
[2,1,7,3,8,6,4,5]=>[2,1,7,6,4,8,3,5]
[1,7,5,3,2,4,8,6]=>[1,3,5,2,7,8,4,6]
[1,4,2,7,6,5,8,3]=>[1,4,8,2,6,7,5,3]
[3,4,1,6,5,7,8,2]=>[4,8,3,1,6,5,7,2]
[2,8,7,3,4,1,5,6]=>[4,2,7,3,1,5,8,6]
[5,7,6,2,3,8,1,4]=>[8,6,2,1,5,7,3,4]
[4,5,7,6,2,8,1,3]=>[8,6,1,4,5,7,2,3]
[3,1,8,7,5,2,6,4]=>[3,5,1,7,6,4,8,2]
[4,5,6,8,7,2,1,3]=>[2,7,1,4,5,6,8,3]
[2,8,3,1,5,4,7,6]=>[3,2,8,5,1,7,4,6]
[4,8,2,1,5,3,7,6]=>[2,8,5,4,1,7,3,6]
[5,8,2,1,4,3,7,6]=>[2,8,4,1,5,7,3,6]
[5,8,3,1,4,2,7,6]=>[3,8,4,2,5,7,1,6]
[3,8,4,1,5,2,7,6]=>[4,8,3,5,2,7,1,6]
[3,8,5,1,4,2,7,6]=>[5,4,3,1,8,7,2,6]
[4,1,5,8,3,2,7,6]=>[4,3,8,1,5,7,2,6]
[4,1,7,8,3,2,6,5]=>[4,3,8,1,6,2,7,5]
[5,1,7,8,3,2,6,4]=>[5,3,8,6,1,2,7,4]
[1,8,6,2,4,3,7,5]=>[1,6,4,2,8,7,5,3]
[1,8,7,2,4,3,6,5]=>[1,7,4,2,6,3,8,5]
[1,8,6,2,5,3,7,4]=>[1,6,5,8,4,7,3,2]
[3,8,4,1,6,2,7,5]=>[4,8,3,6,7,2,1,5]
[4,8,3,1,6,2,7,5]=>[3,8,6,4,7,2,1,5]
[5,8,2,1,6,3,7,4]=>[2,8,6,7,5,1,3,4]
[3,8,2,1,6,4,7,5]=>[2,8,3,6,7,1,4,5]
[2,8,3,1,6,4,7,5]=>[3,2,8,6,7,1,4,5]
[2,8,3,1,7,4,6,5]=>[3,2,8,7,6,4,1,5]
[4,8,2,1,7,3,6,5]=>[2,8,7,4,6,3,1,5]
[7,3,6,8,2,1,5,4]=>[2,8,7,5,1,3,6,4]
[7,2,6,8,3,1,5,4]=>[3,8,7,5,2,1,6,4]
[5,8,3,1,7,2,6,4]=>[3,8,7,6,5,1,2,4]
[3,8,5,1,7,2,6,4]=>[5,8,3,7,6,4,2,1]
[7,2,6,1,5,8,4,3]=>[6,7,4,8,1,2,5,3]
[1,8,6,3,7,2,5,4]=>[1,7,6,5,2,8,3,4]
[6,2,7,1,5,8,4,3]=>[7,6,4,8,1,2,5,3]
[3,6,7,2,5,4,8,1]=>[8,7,3,5,2,6,4,1]
[4,8,5,1,3,2,6,7]=>[5,3,1,4,8,2,6,7]
[5,4,3,1,2,7,6,8]=>[3,1,4,5,2,7,6,8]
[4,1,6,5,2,3,7,8]=>[4,5,2,1,6,3,7,8]
[7,1,5,2,3,6,4,8]=>[7,5,2,6,1,3,4,8]
[4,1,6,3,7,2,5,8]=>[4,7,6,1,2,3,5,8]
[4,6,1,2,8,3,7,5]=>[6,1,8,4,7,2,3,5]
[4,1,3,6,7,2,5,8]=>[4,7,1,3,2,6,5,8]
[2,6,5,1,3,4,7,8]=>[5,2,1,3,6,4,7,8]
[2,6,7,4,3,1,5,8]=>[3,2,4,7,1,6,5,8]
[2,6,3,1,7,4,5,8]=>[3,2,6,7,4,1,5,8]
[6,5,3,7,2,4,1,8]=>[4,7,5,2,6,3,1,8]
[2,3,6,7,1,5,4,8]=>[7,2,3,5,1,6,4,8]
[2,7,5,8,1,3,6,4]=>[8,2,1,6,7,3,5,4]
[5,1,6,7,3,2,4,8]=>[5,3,7,2,1,6,4,8]
[5,6,1,4,7,2,3,8]=>[6,7,2,1,5,4,3,8]
[1,2,5,7,8,6,3,4]=>[1,2,6,3,5,8,7,4]
[1,2,5,8,6,4,3,7]=>[1,2,4,6,5,8,3,7]
[1,8,2,3,5,7,6,4]=>[1,8,2,6,3,7,5,4]
[1,2,6,7,4,5,3,8]=>[1,2,5,7,4,6,3,8]
[1,7,2,6,8,5,3,4]=>[1,7,5,3,8,2,6,4]
[1,2,7,8,4,6,3,5]=>[1,2,6,8,3,4,7,5]
[1,8,5,6,3,2,4,7]=>[1,3,6,2,8,5,4,7]
[1,8,3,6,4,2,5,7]=>[1,4,6,8,3,2,5,7]
[7,4,2,6,5,8,1,3]=>[8,4,1,7,6,2,5,3]
[7,3,6,1,5,4,8,2]=>[6,8,7,5,1,3,4,2]
[3,2,6,7,1,4,8,5]=>[7,3,2,1,8,6,4,5]
[8,6,5,2,1,7,4,3]=>[2,5,4,6,8,7,1,3]
[5,7,3,2,1,8,4,6]=>[2,3,7,8,5,4,1,6]
[7,6,8,2,1,5,4,3]=>[2,8,4,5,1,7,6,3]
[3,8,1,6,4,7,5,2]=>[8,5,3,7,6,1,2,4]
[6,8,3,1,7,4,5,2]=>[3,8,5,7,4,6,2,1]
[4,3,8,6,7,1,5,2]=>[7,5,4,3,1,8,6,2]
[3,4,1,8,6,2,5,7]=>[4,6,3,1,2,8,5,7]
[7,4,1,8,5,3,2,6]=>[4,3,7,5,8,1,2,6]
[4,2,5,6,8,1,3,7]=>[8,4,1,2,5,6,3,7]
[8,3,2,4,7,1,6,5]=>[7,3,8,2,6,1,4,5]
[7,3,2,8,6,1,5,4]=>[6,3,8,5,2,7,1,4]
[7,5,8,2,6,1,4,3]=>[6,8,4,1,7,2,5,3]
[5,1,8,7,6,3,2,4]=>[5,3,6,2,1,7,8,4]
[4,6,8,7,3,5,1,2]=>[5,1,7,4,3,6,8,2]
[5,6,8,2,7,4,1,3]=>[4,7,2,8,5,6,1,3]
[6,2,5,4,1,3,8,7]=>[4,5,2,6,1,3,8,7]
[5,2,1,4,6,3,8,7]=>[2,5,6,1,4,3,8,7]
[6,4,1,2,3,5,8,7]=>[4,1,2,6,3,5,8,7]
[7,4,1,2,6,5,8,3]=>[4,1,7,8,6,3,5,2]
[5,2,7,4,6,1,8,3]=>[6,5,8,7,2,4,1,3]
[4,2,7,1,6,5,8,3]=>[7,4,8,2,6,1,5,3]
[8,2,6,3,1,4,5,7]=>[3,6,8,2,4,1,5,7]
[5,2,8,4,7,6,3,1]=>[3,6,5,7,1,8,2,4]
[7,4,1,2,3,6,8,5]=>[4,1,2,7,8,3,6,5]
[6,2,1,4,7,3,8,5]=>[2,6,7,1,8,4,3,5]
[3,6,8,4,2,5,1,7]=>[5,4,3,8,2,6,1,7]
[8,5,1,4,6,2,3,7]=>[5,8,1,2,6,4,3,7]
[5,4,8,6,3,2,1,7]=>[2,3,6,5,4,8,1,7]
[7,2,5,6,8,4,3,1]=>[3,4,8,7,2,5,6,1]
[8,4,6,7,3,1,5,2]=>[3,7,5,8,2,4,6,1]
[7,6,8,3,4,1,5,2]=>[4,5,8,3,1,7,6,2]
[4,6,8,5,1,2,7,3]=>[5,1,8,4,7,6,3,2]
[2,5,1,8,4,6,3,7]=>[5,2,6,8,1,4,3,7]
[7,2,4,6,3,5,8,1]=>[8,7,6,2,3,4,5,1]
[5,2,3,1,7,6,4,8]=>[3,5,2,6,1,7,4,8]
[3,7,2,4,1,8,5,6]=>[4,7,3,2,8,5,1,6]
[8,5,6,1,2,7,3,4]=>[6,1,7,3,8,5,2,4]
[6,7,3,4,1,8,5,2]=>[4,5,8,2,7,6,1,3]
[2,6,3,1,8,4,7,5]=>[3,2,6,8,7,1,4,5]
[3,6,2,8,4,1,7,5]=>[4,8,3,6,7,1,2,5]
[4,5,3,8,7,2,1,6]=>[2,7,5,4,3,1,8,6]
[4,1,3,6,8,5,2,7]=>[4,5,1,3,8,6,2,7]
[6,2,5,7,4,8,1,3]=>[8,6,1,7,2,5,4,3]
[6,3,5,7,1,2,8,4]=>[7,1,6,8,3,5,2,4]
[5,2,4,6,1,8,3,7]=>[6,5,8,2,4,1,3,7]
[5,4,6,1,2,7,8,3]=>[6,1,8,5,4,2,7,3]
[4,5,3,6,1,7,8,2]=>[6,8,5,4,3,1,7,2]
[2,5,3,1,6,7,8,4]=>[3,2,5,8,1,6,7,4]
[3,1,8,4,2,7,5,6]=>[3,4,1,8,7,5,2,6]
[4,5,2,1,7,8,6,3]=>[2,5,6,4,1,8,7,3]
[1,8,5,3,2,4,6,7]=>[1,3,5,2,8,4,6,7]
[1,6,7,3,4,2,5,8]=>[1,4,7,3,2,6,5,8]
[1,6,8,3,4,2,5,7]=>[1,4,8,3,2,6,5,7]
[1,8,7,5,3,4,2,6]=>[1,4,5,3,7,2,8,6]
[1,7,8,5,3,4,2,6]=>[1,4,5,3,8,2,7,6]
[1,7,6,8,4,2,3,5]=>[1,4,2,8,3,7,6,5]
[1,7,8,6,4,3,2,5]=>[1,3,4,6,2,8,7,5]
[2,4,8,5,7,1,6,3]=>[7,2,6,4,8,1,5,3]
[2,3,8,7,1,5,6,4]=>[7,2,3,6,1,5,8,4]
[7,2,8,6,4,1,5,3]=>[4,6,8,5,3,7,2,1]
[5,1,7,8,4,2,3,6]=>[5,4,2,8,1,3,7,6]
[3,1,4,2,7,6,5,8]=>[3,4,1,2,6,7,5,8]
[3,8,2,1,6,7,5,4]=>[2,8,3,5,7,1,6,4]
[2,8,3,1,7,5,6,4]=>[3,2,8,6,7,5,1,4]
[7,2,3,1,6,5,8,4]=>[3,7,2,8,6,1,5,4]
[7,6,2,5,4,1,8,3]=>[4,5,6,7,1,8,2,3]
[1,6,4,3,2,7,5,8]=>[1,3,4,6,7,2,5,8]
[3,8,7,1,2,6,4,5]=>[7,1,3,6,4,2,8,5]
[2,8,7,1,3,4,6,5]=>[7,2,1,3,6,4,8,5]
[6,5,4,1,8,2,3,7]=>[4,5,2,6,8,1,3,7]
[8,2,1,3,4,7,6,5]=>[2,8,1,3,6,7,4,5]
[8,5,6,2,1,4,7,3]=>[2,6,7,1,8,5,4,3]
[7,8,3,2,5,1,6,4]=>[5,3,8,6,2,1,7,4]
[7,8,2,4,5,6,3,1]=>[3,6,8,1,4,5,7,2]
[6,4,1,5,3,7,2,8]=>[4,6,7,5,2,1,3,8]
[2,7,4,1,5,8,3,6]=>[4,2,7,8,3,1,5,6]
[2,1,6,4,7,8,3,5]=>[2,1,8,6,3,4,7,5]
[5,4,2,6,7,8,3,1]=>[3,8,4,5,1,6,7,2]
[6,3,7,4,2,1,5,8]=>[2,4,7,6,3,1,5,8]
[5,7,8,3,4,2,1,6]=>[2,4,8,3,5,1,7,6]
[4,7,5,3,8,2,6,1]=>[6,8,5,4,7,2,3,1]
[4,6,3,2,7,1,8,5]=>[7,3,6,4,8,2,1,5]
[2,6,4,7,8,5,3,1]=>[3,2,5,8,6,1,7,4]
[7,8,3,5,2,6,4,1]=>[4,6,5,8,1,3,7,2]
[1,6,8,4,5,7,2,3]=>[1,7,2,8,4,6,5,3]
[7,8,4,5,6,1,3,2]=>[6,3,1,8,4,5,7,2]
[1,6,8,4,5,7,3,2]=>[1,3,7,8,4,6,5,2]
[6,1,3,8,4,5,7,2]=>[6,7,1,8,4,3,5,2]
[2,5,1,8,4,6,7,3]=>[5,2,7,8,1,4,6,3]
[1,2,5,8,4,6,7,3]=>[1,2,7,8,5,4,6,3]
[5,3,4,8,2,1,6,7]=>[2,8,5,3,4,1,6,7]
[5,2,8,4,6,7,1,3]=>[7,5,1,8,2,4,6,3]
[1,5,3,8,4,6,7,2]=>[1,7,5,8,3,4,6,2]
[5,4,1,8,3,6,2,7]=>[4,5,6,8,2,1,3,7]
[5,2,8,1,4,6,3,7]=>[8,5,6,1,2,4,3,7]
[6,5,8,3,4,2,1,7]=>[2,4,8,3,6,5,1,7]
[1,3,5,8,4,6,7,2]=>[1,7,3,8,5,4,6,2]
[3,1,5,8,4,6,7,2]=>[3,7,1,8,5,4,6,2]
[3,2,5,8,4,6,7,1]=>[7,3,2,8,5,4,6,1]
[3,4,5,8,2,1,6,7]=>[2,8,3,4,5,1,6,7]
[8,2,7,6,3,4,5,1]=>[5,8,6,3,4,7,2,1]
[6,8,7,3,2,1,4,5]=>[2,3,7,1,4,6,8,5]
[3,4,8,2,7,1,5,6]=>[7,8,3,4,1,5,2,6]
[7,2,6,1,4,8,3,5]=>[6,7,8,1,3,2,4,5]
[7,8,1,2,4,6,3,5]=>[8,1,6,2,3,4,7,5]
[7,2,8,3,4,5,1,6]=>[5,7,8,3,4,1,2,6]
[6,1,8,3,4,2,5,7]=>[6,4,8,3,2,1,5,7]
[7,5,1,2,4,3,8,6]=>[5,1,4,2,7,8,3,6]
[7,6,8,1,4,2,3,5]=>[8,4,2,1,3,7,6,5]
[7,1,5,2,4,8,6,3]=>[7,5,6,2,1,8,4,3]
[3,1,6,2,5,8,7,4]=>[3,6,1,7,2,5,8,4]
[2,8,5,3,7,4,6,1]=>[6,2,5,8,7,3,4,1]
[5,4,1,7,2,3,6,8]=>[4,5,1,7,2,3,6,8]
[2,8,6,7,3,4,5,1]=>[5,2,7,3,4,8,6,1]
[2,7,6,8,3,4,5,1]=>[5,2,8,3,4,7,6,1]
[2,6,7,8,3,4,5,1]=>[5,2,8,3,4,6,7,1]
[2,4,3,7,8,5,6,1]=>[6,2,4,3,8,5,7,1]
[5,1,8,7,2,4,6,3]=>[5,7,6,2,1,4,8,3]
[3,8,1,2,7,4,6,5]=>[8,1,3,7,6,4,2,5]
[4,8,7,1,2,3,5,6]=>[7,1,2,4,3,5,8,6]
[2,7,8,6,3,4,5,1]=>[5,2,6,3,4,8,7,1]
[2,1,7,6,3,4,5,8]=>[2,1,6,3,4,7,5,8]
[6,3,5,2,1,8,4,7]=>[2,5,6,8,3,1,4,7]
[6,1,5,3,8,2,4,7]=>[6,8,5,2,1,3,4,7]
[2,3,6,8,5,1,7,4]=>[5,2,3,8,7,6,4,1]
[3,2,4,8,6,1,7,5]=>[6,3,2,4,8,7,5,1]
[2,1,3,8,4,5,7,6]=>[2,1,3,8,4,7,5,6]
[3,1,2,8,6,7,4,5]=>[3,1,2,7,4,8,6,5]
[1,4,5,2,3,8,7,6]=>[1,5,2,4,3,7,8,6]
[4,2,1,5,3,6,8,7]=>[2,4,5,1,3,6,8,7]
[2,1,6,3,8,7,4,5]=>[2,1,6,7,4,3,8,5]
[3,1,2,8,5,4,7,6]=>[3,1,2,5,8,7,4,6]
[2,1,3,7,8,4,6,5]=>[2,1,3,8,6,4,7,5]
[2,1,3,8,4,7,6,5]=>[2,1,3,8,6,7,4,5]
[3,1,2,8,4,5,7,6]=>[3,1,2,8,4,7,5,6]
[1,2,8,7,5,4,6,3]=>[1,2,6,5,7,4,8,3]
[4,6,7,2,3,8,1,5]=>[8,7,2,4,1,6,3,5]
[3,6,1,4,8,2,7,5]=>[6,8,3,1,7,4,2,5]
[3,2,6,5,7,8,1,4]=>[8,3,2,1,6,5,7,4]
[7,3,2,4,5,8,1,6]=>[8,3,7,2,4,1,5,6]
[3,2,7,5,6,8,1,4]=>[8,3,2,1,7,5,6,4]
[3,1,5,6,8,7,2,4]=>[3,7,1,2,5,6,8,4]
[2,1,5,8,6,7,3,4]=>[2,1,7,3,5,8,6,4]
[3,1,7,5,8,6,2,4]=>[3,6,1,2,8,7,4,5]
[3,7,1,4,8,6,2,5]=>[7,6,3,1,2,8,4,5]
[2,7,1,8,4,3,6,5]=>[7,2,4,8,6,3,1,5]
[2,6,1,8,7,3,4,5]=>[6,2,7,3,4,1,8,5]
[2,7,1,8,6,3,4,5]=>[7,2,6,3,4,8,1,5]
[2,1,8,7,4,6,5,3]=>[2,1,5,6,7,3,8,4]
[7,2,1,8,3,5,4,6]=>[2,7,8,5,3,4,1,6]
[2,7,1,8,3,4,6,5]=>[7,2,8,3,6,4,1,5]
[2,1,7,8,3,5,6,4]=>[2,1,8,6,3,5,7,4]
[2,1,8,7,4,5,6,3]=>[2,1,6,7,4,5,8,3]
[3,7,5,2,6,4,8,1]=>[8,5,3,7,6,4,2,1]
[5,2,7,4,6,3,8,1]=>[8,5,6,7,2,4,3,1]
[6,1,5,8,4,7,3,2]=>[6,3,7,8,1,5,4,2]
[1,4,6,8,5,7,2,3]=>[1,7,2,4,8,6,5,3]
[8,3,5,7,6,4,1,2]=>[4,1,6,7,3,8,5,2]
[2,8,5,1,6,4,3,7]=>[5,2,4,8,6,3,1,7]
[2,4,7,1,8,3,6,5]=>[7,2,8,4,6,3,1,5]
[2,5,8,3,7,1,4,6]=>[7,2,8,1,5,4,3,6]
[8,3,5,4,7,6,1,2]=>[6,1,7,5,2,8,4,3]
[4,2,1,7,5,8,6,3]=>[2,4,6,1,8,7,3,5]
[8,5,2,3,4,1,7,6]=>[4,5,2,3,8,7,1,6]
[1,6,8,4,3,5,2,7]=>[1,5,4,8,3,6,2,7]
[6,5,7,1,4,8,2,3]=>[7,8,2,1,6,5,4,3]
[3,7,5,4,2,6,8,1]=>[8,4,3,5,7,2,6,1]
[8,4,1,6,5,3,7,2]=>[4,8,7,5,6,2,1,3]
[4,1,2,7,6,8,5,3]=>[4,1,5,2,8,7,6,3]
[4,8,2,5,6,3,1,7]=>[3,6,8,4,1,5,2,7]
[8,4,3,5,6,1,7,2]=>[6,7,4,8,3,5,1,2]
[6,1,5,4,2,3,8,7]=>[6,4,2,5,1,3,8,7]
[6,4,5,1,2,8,3,7]=>[5,1,8,6,4,2,3,7]
[8,4,1,5,7,6,3,2]=>[4,3,8,6,2,7,5,1]
[8,1,6,3,5,2,4,7]=>[8,5,6,2,3,1,4,7]
[4,6,2,5,3,8,1,7]=>[8,6,5,4,2,3,1,7]
[4,6,5,2,1,8,3,7]=>[2,5,6,4,8,3,1,7]
[5,8,4,3,6,7,2,1]=>[2,7,4,8,5,3,6,1]
[6,8,2,1,5,3,4,7]=>[2,8,5,3,1,6,4,7]
[2,5,3,8,6,7,4,1]=>[4,2,7,5,1,8,6,3]
[3,2,6,5,1,8,4,7]=>[5,3,2,6,8,4,1,7]
[7,4,5,8,1,6,2,3]=>[8,6,2,7,4,1,5,3]
[4,5,8,1,6,7,3,2]=>[8,3,7,4,5,1,6,2]
[5,1,8,4,6,7,3,2]=>[5,3,7,8,1,4,6,2]
[6,5,2,3,7,4,8,1]=>[8,5,2,6,7,4,3,1]
[5,4,1,7,2,3,8,6]=>[4,5,1,7,2,8,3,6]
[7,4,3,6,2,8,1,5]=>[8,6,4,7,1,3,2,5]
[8,4,3,6,2,7,1,5]=>[7,6,4,8,1,3,2,5]
[1,7,6,2,3,4,8,5]=>[1,6,2,3,7,8,5,4]
[8,5,3,1,2,7,4,6]=>[3,1,5,8,7,2,4,6]
[3,8,6,7,1,2,4,5]=>[7,1,3,2,4,8,6,5]
[5,3,8,4,7,1,2,6]=>[7,1,5,8,3,2,4,6]
[4,3,6,5,8,1,2,7]=>[8,1,4,3,6,5,2,7]
[5,6,4,2,8,1,3,7]=>[8,4,1,6,5,2,3,7]
[4,5,3,8,1,2,6,7]=>[8,1,5,4,3,2,6,7]
[3,5,4,8,1,2,6,7]=>[8,1,3,5,4,2,6,7]
[6,5,3,8,1,7,2,4]=>[8,7,5,2,6,3,1,4]
[8,3,7,1,6,2,4,5]=>[7,6,8,2,4,1,3,5]
[2,6,8,7,1,3,4,5]=>[7,2,1,3,4,6,8,5]
[4,7,2,8,6,1,3,5]=>[6,8,2,4,3,7,1,5]
[4,2,8,7,6,1,3,5]=>[6,4,1,2,3,7,8,5]
[8,1,4,6,5,7,2,3]=>[8,7,2,1,6,4,5,3]
[8,1,7,5,6,4,2,3]=>[8,4,2,6,7,5,1,3]
[8,6,1,5,3,7,2,4]=>[6,8,5,1,2,7,3,4]
[7,8,1,5,2,6,4,3]=>[8,5,4,6,1,2,7,3]
[8,3,6,7,4,2,1,5]=>[2,4,7,8,3,1,6,5]
[8,7,2,5,6,3,4,1]=>[4,7,6,3,2,5,8,1]
[1,7,2,8,3,4,6,5]=>[1,7,8,3,6,4,2,5]
[7,2,3,6,8,1,5,4]=>[8,7,2,5,1,3,6,4]
[2,6,3,7,8,1,4,5]=>[8,2,6,1,4,3,7,5]
[6,3,8,7,2,1,5,4]=>[2,7,6,5,1,3,8,4]
[7,2,5,6,3,4,8,1]=>[8,7,6,3,2,5,4,1]
[7,2,8,6,3,1,5,4]=>[3,6,8,5,1,7,2,4]
[7,2,4,5,8,6,3,1]=>[3,6,8,2,4,7,5,1]
[6,3,8,4,7,2,5,1]=>[5,7,6,8,2,3,4,1]
[7,2,3,6,8,5,4,1]=>[4,5,2,8,7,3,6,1]
[7,2,8,5,4,1,3,6]=>[4,5,1,8,7,3,2,6]
[7,4,5,2,8,1,6,3]=>[8,5,6,7,4,1,2,3]
[7,5,4,2,8,1,6,3]=>[8,4,5,7,6,1,2,3]
[7,6,3,2,8,4,5,1]=>[5,3,6,7,2,8,4,1]
[7,2,3,6,8,4,5,1]=>[5,7,2,8,4,3,6,1]
[7,2,5,4,8,3,6,1]=>[6,7,8,5,2,3,4,1]
[7,2,8,3,6,1,4,5]=>[6,7,8,1,4,3,2,5]
[7,4,5,2,8,3,6,1]=>[6,5,8,7,4,3,2,1]
[3,1,6,7,4,5,2,8]=>[3,5,1,7,4,6,2,8]
[3,1,5,4,7,6,2,8]=>[3,6,1,5,4,7,2,8]
[7,3,6,8,2,4,5,1]=>[5,8,7,2,4,3,6,1]
[5,1,3,2,4,6,8,7]=>[5,3,1,2,4,6,8,7]
[8,4,2,5,1,7,3,6]=>[5,4,8,7,3,2,1,6]
[6,4,2,5,7,3,8,1]=>[8,4,6,7,3,5,2,1]
[5,7,8,4,2,3,6,1]=>[6,4,2,8,5,3,7,1]
[6,4,5,2,8,3,7,1]=>[7,5,8,6,4,2,3,1]
[6,5,2,4,3,8,7,1]=>[7,5,4,2,6,3,8,1]
[6,5,3,4,1,8,2,7]=>[4,8,5,3,6,1,2,7]
[6,4,5,3,8,1,2,7]=>[8,1,5,6,4,3,2,7]
[5,6,4,8,3,1,2,7]=>[3,1,8,6,5,4,2,7]
[6,3,4,7,5,2,8,1]=>[8,5,7,2,6,4,3,1]
[7,2,6,3,4,8,5,1]=>[5,8,7,1,6,3,4,2]
[7,3,2,6,4,8,5,1]=>[5,3,8,7,6,4,1,2]
[4,7,2,6,5,3,8,1]=>[8,7,5,4,6,2,3,1]
[7,2,4,6,3,8,5,1]=>[5,8,7,3,6,4,1,2]
[8,1,3,7,6,2,5,4]=>[8,6,1,5,2,7,3,4]
[2,8,3,7,6,1,5,4]=>[6,2,7,5,3,8,1,4]
[2,8,7,3,1,6,5,4]=>[3,2,7,5,6,1,8,4]
[5,4,2,6,8,7,3,1]=>[3,7,4,5,1,6,8,2]
[3,7,2,5,8,6,4,1]=>[4,6,3,8,2,7,5,1]
[7,2,3,5,8,6,4,1]=>[4,6,2,8,3,7,5,1]
[4,6,5,3,8,1,7,2]=>[8,7,5,4,6,3,1,2]
[6,3,4,8,1,7,5,2]=>[8,5,7,2,6,4,1,3]
[7,2,3,8,4,6,5,1]=>[5,6,1,7,8,3,4,2]
[2,4,8,7,6,1,5,3]=>[6,2,5,4,1,7,8,3]
[8,3,1,4,7,6,5,2]=>[3,8,5,2,6,7,4,1]
[3,2,8,7,4,6,5,1]=>[5,3,2,6,7,1,8,4]
[5,4,2,8,3,7,6,1]=>[6,4,5,7,3,8,1,2]
[3,8,1,7,4,6,5,2]=>[8,5,3,6,7,2,1,4]
[8,6,1,2,4,5,3,7]=>[6,1,5,2,4,8,3,7]
[8,2,5,6,1,4,3,7]=>[6,8,4,1,2,5,3,7]
[8,2,6,5,1,4,3,7]=>[5,6,4,2,8,1,3,7]
[8,6,2,5,1,4,3,7]=>[5,6,4,1,2,8,3,7]
[4,8,5,2,7,6,3,1]=>[3,6,5,4,7,8,2,1]
[5,8,6,2,7,1,3,4]=>[7,6,1,3,5,8,2,4]
[4,7,8,6,5,2,1,3]=>[2,5,1,4,6,8,7,3]
[7,2,8,5,6,4,1,3]=>[4,6,2,7,8,5,1,3]
[3,8,2,7,4,1,6,5]=>[4,7,3,8,6,2,1,5]
[2,8,6,5,7,1,3,4]=>[7,2,1,3,6,8,5,4]
[3,7,8,6,2,5,4,1]=>[4,5,3,6,1,8,7,2]
[1,4,8,6,2,5,7,3]=>[1,6,8,4,3,7,5,2]
[3,8,4,7,2,1,6,5]=>[2,7,3,8,6,1,4,5]
[6,8,7,2,4,1,3,5]=>[4,7,1,2,3,6,8,5]
[3,4,8,6,2,5,1,7]=>[5,6,3,4,2,8,1,7]
[7,3,8,6,2,5,4,1]=>[4,5,6,8,1,7,3,2]
[5,3,8,1,6,4,7,2]=>[8,7,5,6,3,1,4,2]
[3,5,8,1,6,4,7,2]=>[8,7,3,6,5,1,4,2]
[4,8,5,1,7,6,3,2]=>[5,3,8,4,6,7,2,1]
[5,8,1,7,6,2,3,4]=>[8,6,2,3,5,7,1,4]
[3,1,8,5,6,4,7,2]=>[3,7,1,6,8,5,4,2]
[2,3,8,6,4,5,1,7]=>[5,2,3,6,4,8,1,7]
[1,4,8,6,5,2,3,7]=>[1,5,2,4,6,8,3,7]
[7,6,2,8,5,4,3,1]=>[3,4,5,8,6,7,1,2]
[3,4,6,2,5,7,1,8]=>[7,6,3,4,2,5,1,8]
[1,7,5,2,6,8,3,4]=>[1,5,7,2,8,3,6,4]
[3,5,7,1,6,2,4,8]=>[7,6,3,2,5,1,4,8]
[4,6,8,7,1,2,3,5]=>[7,1,2,4,3,6,8,5]
[7,8,6,1,2,4,3,5]=>[6,1,4,2,3,8,7,5]
[4,5,6,1,3,8,7,2]=>[6,7,1,4,5,3,8,2]
[2,3,7,8,6,5,1,4]=>[5,2,3,1,6,8,7,4]
[1,7,4,8,2,6,3,5]=>[1,8,6,7,3,2,4,5]
[5,1,7,2,4,6,3,8]=>[5,7,6,2,1,4,3,8]
[7,1,5,6,2,8,3,4]=>[7,6,8,3,1,5,2,4]
[7,3,2,1,4,8,5,6]=>[2,3,7,1,8,5,4,6]
[6,8,2,1,3,4,7,5]=>[2,8,1,3,7,6,4,5]
[5,2,1,7,6,4,3,8]=>[2,5,4,6,1,7,3,8]
[7,4,8,3,6,5,1,2]=>[5,1,6,8,7,4,2,3]
[6,4,8,5,1,7,2,3]=>[5,8,1,7,6,3,2,4]
[5,2,8,1,3,6,7,4]=>[8,5,1,7,2,3,6,4]
[6,3,2,7,4,5,8,1]=>[8,3,6,7,4,2,5,1]
[7,4,3,8,5,6,1,2]=>[6,1,4,7,8,5,3,2]
[6,2,1,8,7,4,5,3]=>[2,6,5,7,4,1,8,3]
[6,2,1,8,7,3,5,4]=>[2,6,7,5,3,1,8,4]
[5,2,1,7,6,3,4,8]=>[2,5,6,3,1,7,4,8]
[4,2,6,8,5,7,1,3]=>[7,4,1,2,8,6,5,3]
[8,6,4,3,2,7,5,1]=>[5,3,4,7,6,8,1,2]
[5,1,8,6,2,4,7,3]=>[5,6,8,3,1,7,4,2]
[1,3,4,7,8,2,6,5]=>[1,8,3,4,6,2,7,5]
[1,5,4,3,8,7,2,6]=>[1,7,4,5,3,2,8,6]
[1,2,5,8,4,3,6,7]=>[1,2,4,8,5,3,6,7]
[1,5,8,2,6,4,3,7]=>[1,8,4,6,5,2,3,7]
[3,5,6,2,4,7,8,1]=>[8,6,3,2,5,4,7,1]
[3,5,6,7,2,4,8,1]=>[8,7,3,2,5,6,4,1]
[3,5,7,6,8,2,4,1]=>[4,8,3,2,5,7,6,1]
[3,5,7,2,6,8,4,1]=>[4,8,3,7,5,1,6,2]
[3,5,2,7,6,8,4,1]=>[4,8,3,5,1,7,6,2]
[3,5,7,4,2,6,8,1]=>[8,4,3,7,5,2,6,1]
[3,5,4,7,2,6,8,1]=>[8,7,3,5,4,2,6,1]
[3,4,5,7,2,6,8,1]=>[8,7,3,4,5,2,6,1]
[3,4,5,7,2,8,6,1]=>[6,8,3,4,5,7,1,2]
[3,5,4,7,8,2,6,1]=>[6,8,3,5,4,2,7,1]
[3,5,4,7,2,8,6,1]=>[6,8,3,5,4,7,1,2]
[3,2,5,7,4,8,6,1]=>[6,3,2,8,5,7,1,4]
[3,5,7,4,2,8,6,1]=>[6,4,3,8,5,7,1,2]
[3,5,7,8,4,2,6,1]=>[6,4,3,8,5,2,7,1]
[2,3,5,7,8,4,6,1]=>[6,2,3,8,5,4,7,1]
[3,5,2,7,8,6,4,1]=>[4,6,3,5,1,8,7,2]
[3,5,7,8,2,6,4,1]=>[4,6,3,8,5,1,7,2]
[3,5,7,8,6,2,4,1]=>[4,6,3,2,5,8,7,1]
[4,2,5,6,7,3,8,1]=>[8,4,7,2,5,6,3,1]
[8,6,1,4,3,5,2,7]=>[6,5,4,1,3,8,2,7]
[6,1,8,4,3,5,2,7]=>[6,5,4,8,3,1,2,7]
[5,1,6,4,8,2,3,7]=>[5,8,2,6,1,4,3,7]
[8,1,4,2,5,3,6,7]=>[8,4,5,1,2,3,6,7]
[2,8,4,1,5,3,6,7]=>[4,2,8,5,3,1,6,7]
[8,4,1,3,5,2,6,7]=>[4,8,2,5,3,1,6,7]
[4,1,8,3,5,2,6,7]=>[4,5,8,1,3,2,6,7]
[8,3,1,2,5,4,6,7]=>[3,1,8,5,2,4,6,7]
[3,1,8,2,5,4,6,7]=>[3,8,1,5,2,4,6,7]
[4,2,5,1,8,7,6,3]=>[5,4,6,2,1,7,8,3]
[5,2,4,8,1,7,6,3]=>[8,5,6,2,4,7,1,3]
[7,3,2,4,6,8,1,5]=>[8,3,7,2,1,4,6,5]
[1,4,8,6,7,2,5,3]=>[1,7,5,4,2,8,6,3]
[1,4,5,7,3,8,2,6]=>[1,8,7,4,5,2,3,6]
[4,6,8,1,2,5,3,7]=>[8,1,5,4,2,6,3,7]
[3,5,6,8,2,1,4,7]=>[2,8,3,1,5,6,4,7]
[8,2,5,4,1,3,7,6]=>[4,5,2,8,1,7,3,6]
[2,4,5,8,6,3,1,7]=>[3,2,6,4,5,8,1,7]
[5,4,8,2,3,1,7,6]=>[3,8,2,5,4,7,1,6]
[4,7,5,8,2,3,1,6]=>[3,8,2,4,7,1,5,6]
[4,6,7,5,1,8,3,2]=>[5,3,7,4,8,6,2,1]
[1,7,3,6,5,8,2,4]=>[1,8,7,2,6,3,5,4]
[8,3,4,2,6,7,1,5]=>[7,4,8,3,1,2,6,5]
[7,5,3,8,6,2,1,4]=>[2,6,5,3,8,7,1,4]
[7,3,1,8,2,6,5,4]=>[3,7,8,5,6,1,2,4]
[4,6,7,5,2,8,3,1]=>[3,8,5,4,7,6,1,2]
[5,8,7,2,4,3,1,6]=>[3,4,7,1,5,2,8,6]
[5,1,2,8,6,7,3,4]=>[5,1,7,3,2,8,6,4]
[2,5,7,8,6,1,4,3]=>[6,2,4,1,5,8,7,3]
[7,2,6,8,4,5,1,3]=>[5,7,1,8,4,2,6,3]
[5,1,7,6,8,2,3,4]=>[5,8,2,3,1,7,6,4]
[5,4,7,1,6,8,2,3]=>[7,8,2,5,4,1,6,3]
[4,3,1,6,5,2,8,7]=>[3,4,5,2,6,1,8,7]
[4,6,7,2,1,5,3,8]=>[2,7,5,4,1,6,3,8]
[8,7,1,5,4,3,2,6]=>[7,3,4,5,1,2,8,6]
[1,7,6,2,4,3,8,5]=>[1,6,4,2,7,8,5,3]
[7,1,6,2,4,5,3,8]=>[7,6,5,2,4,1,3,8]
[3,6,7,2,1,5,4,8]=>[2,7,3,5,1,6,4,8]
[5,7,1,6,2,3,4,8]=>[7,6,2,3,5,1,4,8]
[4,3,6,7,1,5,2,8]=>[7,5,4,3,1,6,2,8]
[2,3,6,7,4,5,1,8]=>[5,2,3,7,4,6,1,8]
[1,7,4,8,5,3,6,2]=>[1,6,5,8,7,4,3,2]
[8,7,4,1,5,3,6,2]=>[4,7,6,5,2,1,8,3]
[8,2,5,6,3,1,4,7]=>[3,6,8,2,1,5,4,7]
[8,2,1,4,3,5,6,7]=>[2,8,4,1,3,5,6,7]
[6,2,5,8,3,4,1,7]=>[4,6,8,3,2,5,1,7]
[5,6,8,7,1,3,2,4]=>[7,3,1,2,5,6,8,4]
[2,3,8,6,5,1,4,7]=>[5,2,3,1,6,8,4,7]
[6,4,1,3,5,2,8,7]=>[4,6,2,5,3,1,8,7]
[7,6,1,4,5,8,2,3]=>[6,7,1,2,4,8,5,3]
[1,5,3,4,8,2,6,7]=>[1,8,5,3,4,2,6,7]
[8,1,3,4,2,5,6,7]=>[8,4,1,3,2,5,6,7]
[2,1,3,6,5,8,4,7]=>[2,1,3,8,6,5,4,7]
[2,8,6,5,7,4,3,1]=>[3,2,4,7,6,8,5,1]
[2,8,6,5,7,4,1,3]=>[4,2,1,7,6,8,5,3]
[6,5,2,7,4,3,1,8]=>[3,4,7,5,6,2,1,8]
[6,5,2,8,4,3,7,1]=>[7,5,4,6,8,3,2,1]
[7,5,8,3,4,2,1,6]=>[2,4,8,3,7,1,5,6]
[7,6,8,5,2,4,1,3]=>[4,5,1,2,8,7,6,3]
[5,3,7,2,4,1,8,6]=>[4,7,5,2,3,8,1,6]
[5,1,2,8,6,3,7,4]=>[5,1,6,8,2,7,4,3]
[6,1,5,7,2,4,3,8]=>[6,7,4,2,1,5,3,8]
[4,1,8,2,6,5,7,3]=>[4,8,7,1,6,2,5,3]
[6,1,4,7,8,5,3,2]=>[6,3,5,1,8,4,7,2]
[6,1,5,7,8,4,2,3]=>[6,4,2,8,1,5,7,3]
[5,6,8,3,7,4,2,1]=>[2,4,7,8,5,6,1,3]
[4,6,1,5,7,2,8,3]=>[6,7,8,4,1,5,2,3]
[2,5,8,4,6,3,7,1]=>[7,2,6,8,5,4,3,1]
[4,8,3,6,7,5,2,1]=>[2,5,7,4,8,1,6,3]
[4,3,7,1,2,6,8,5]=>[7,1,4,3,8,2,6,5]
[8,1,6,5,2,7,4,3]=>[8,5,4,6,7,1,3,2]
[6,8,1,5,2,7,4,3]=>[8,5,4,7,1,6,2,3]
[4,5,6,2,8,3,7,1]=>[7,6,8,4,5,2,3,1]
[4,5,8,2,3,7,6,1]=>[6,7,1,4,5,8,3,2]
[5,6,2,1,3,8,4,7]=>[2,6,1,8,5,3,4,7]
[7,1,4,8,2,5,3,6]=>[7,8,5,1,2,3,4,6]
[6,3,4,7,2,5,8,1]=>[8,7,6,3,2,4,5,1]
[8,5,3,6,7,2,4,1]=>[4,7,5,2,8,3,6,1]
[3,5,8,6,7,2,4,1]=>[4,7,3,2,5,8,6,1]
[2,5,6,8,3,7,4,1]=>[4,2,7,8,5,6,1,3]
[8,6,2,3,1,4,7,5]=>[3,6,2,1,8,7,5,4]
[6,7,8,2,3,1,5,4]=>[3,8,2,5,1,6,7,4]
[6,3,4,7,5,1,8,2]=>[5,7,8,1,6,4,2,3]
[5,2,8,6,7,1,4,3]=>[7,5,4,1,2,8,6,3]
[5,6,2,7,4,8,3,1]=>[3,8,6,7,5,1,4,2]
[1,7,3,2,4,8,6,5]=>[1,3,7,2,6,8,4,5]
[4,3,1,8,2,6,7,5]=>[3,4,8,2,7,1,6,5]
[4,8,1,3,2,5,7,6]=>[8,3,1,4,2,7,5,6]
[1,7,5,3,8,6,2,4]=>[1,6,5,3,8,7,2,4]
[2,5,3,8,1,4,7,6]=>[8,2,5,1,3,7,4,6]
[4,2,5,8,1,3,7,6]=>[8,4,1,2,5,7,3,6]
[8,1,2,4,3,5,7,6]=>[8,1,4,2,3,7,5,6]
[2,4,3,8,1,5,7,6]=>[8,2,4,3,1,7,5,6]
[3,1,7,4,8,6,5,2]=>[3,5,1,6,8,7,4,2]
[6,4,5,3,2,8,7,1]=>[7,3,5,6,4,2,8,1]
[2,7,3,8,5,1,6,4]=>[5,2,8,7,6,3,4,1]
[8,7,3,2,5,6,4,1]=>[4,3,6,7,1,5,8,2]
[3,1,8,2,6,5,4,7]=>[3,8,1,5,6,2,4,7]
[7,6,2,8,1,4,5,3]=>[8,6,5,1,4,7,2,3]
[2,3,8,4,1,5,7,6]=>[4,2,3,8,1,7,5,6]
[8,4,2,3,1,5,7,6]=>[3,4,2,8,1,7,5,6]
[8,2,3,4,1,5,7,6]=>[4,8,2,3,1,7,5,6]
[7,1,6,2,4,8,3,5]=>[7,6,8,2,3,1,4,5]
[2,7,8,1,4,3,6,5]=>[8,2,4,1,6,3,7,5]
[6,5,8,1,3,2,4,7]=>[8,3,1,2,6,5,4,7]
[2,1,8,5,3,4,6,7]=>[2,1,5,3,8,4,6,7]
[8,4,1,3,2,5,6,7]=>[4,3,1,8,2,5,6,7]
[8,6,1,2,3,5,4,7]=>[6,1,2,5,3,8,4,7]
[7,8,1,5,2,4,6,3]=>[8,5,6,2,1,4,7,3]
[2,8,6,3,1,5,4,7]=>[3,2,6,5,1,8,4,7]
[5,7,2,8,4,1,6,3]=>[4,8,7,6,5,2,3,1]
[2,5,6,3,8,1,4,7]=>[8,2,6,1,5,3,4,7]
[7,4,5,6,8,1,3,2]=>[8,3,1,7,4,5,6,2]
[7,6,8,1,4,5,3,2]=>[8,3,5,1,4,7,6,2]
[7,5,1,8,4,6,3,2]=>[5,3,7,6,8,1,2,4]
[7,2,5,3,6,4,8,1]=>[8,7,5,6,2,3,4,1]
[7,3,1,2,6,8,4,5]=>[3,1,7,8,4,2,6,5]
[7,4,5,1,8,6,3,2]=>[5,3,6,8,2,7,1,4]
[2,4,8,6,1,5,3,7]=>[6,2,5,4,1,8,3,7]
[3,5,4,1,8,6,7,2]=>[4,5,3,7,2,8,6,1]
[4,3,5,8,1,6,7,2]=>[8,7,4,3,5,1,6,2]
[8,5,1,6,7,4,3,2]=>[5,3,4,8,7,2,6,1]
[1,7,8,5,6,4,3,2]=>[1,3,4,6,8,5,7,2]
[2,7,1,3,5,8,4,6]=>[7,2,1,8,3,4,5,6]
[2,1,8,6,4,5,3,7]=>[2,1,5,6,4,8,3,7]
[2,8,1,7,4,5,3,6]=>[8,2,5,7,4,3,1,6]
[2,7,8,6,5,1,4,3]=>[5,2,4,1,6,8,7,3]
[4,2,5,8,6,1,7,3]=>[6,4,8,2,5,7,3,1]
[7,5,4,6,8,1,3,2]=>[8,3,1,5,7,4,6,2]
[2,4,5,8,6,1,7,3]=>[6,2,8,4,5,7,3,1]
[7,3,6,2,5,4,8,1]=>[8,6,7,5,2,3,4,1]
[1,2,6,4,8,5,3,7]=>[1,2,5,8,6,3,4,7]
[7,1,8,5,6,4,3,2]=>[7,3,4,6,8,5,1,2]
[6,8,1,5,7,4,3,2]=>[8,3,4,7,1,6,5,2]
[8,6,1,5,7,4,3,2]=>[6,3,4,8,2,7,5,1]
[5,7,8,1,6,4,3,2]=>[8,3,4,6,5,1,7,2]
[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]
[7,1,2,4,8,5,3,6]=>[7,1,5,2,8,3,4,6]
[1,8,5,6,4,3,7,2]=>[1,7,4,6,8,5,3,2]
[2,6,8,4,5,1,7,3]=>[5,2,7,8,4,6,1,3]
[4,6,5,7,8,1,3,2]=>[8,3,1,4,6,5,7,2]
[2,5,8,6,4,7,1,3]=>[7,2,1,6,5,8,4,3]
[3,6,5,1,4,2,8,7]=>[5,4,3,1,6,2,8,7]
[5,8,1,7,2,3,6,4]=>[8,7,2,6,5,3,1,4]
[5,3,6,4,2,1,8,7]=>[2,4,6,5,1,3,8,7]
[3,8,4,5,7,1,6,2]=>[7,6,3,8,4,1,5,2]
[3,7,4,5,8,2,6,1]=>[6,8,3,7,4,2,5,1]
[6,5,7,4,1,8,3,2]=>[4,3,7,8,6,5,2,1]
[6,1,7,4,5,2,8,3]=>[6,5,8,7,4,1,2,3]
[5,3,2,1,7,8,4,6]=>[2,3,5,8,1,4,7,6]
[4,1,5,7,8,3,6,2]=>[4,6,8,1,5,3,7,2]
[8,3,6,7,1,4,5,2]=>[7,5,8,1,4,3,6,2]
[7,8,3,5,2,1,4,6]=>[2,5,8,1,3,4,7,6]
[3,7,6,1,4,5,8,2]=>[6,7,3,2,4,8,5,1]
[8,6,5,7,1,3,4,2]=>[7,4,1,3,6,8,5,2]
[5,3,8,6,4,2,7,1]=>[7,4,6,5,2,8,3,1]
[8,4,1,3,6,7,2,5]=>[4,8,2,7,1,3,6,5]
[6,4,3,8,5,2,7,1]=>[7,5,4,8,6,2,3,1]
[1,6,5,3,8,4,7,2]=>[1,7,5,6,8,4,3,2]
[7,6,2,3,5,1,4,8]=>[5,6,2,1,3,7,4,8]
[6,2,5,3,4,8,1,7]=>[8,6,5,3,2,4,1,7]
[6,2,5,3,4,8,7,1]=>[7,6,5,3,2,4,8,1]
[2,6,5,3,4,8,1,7]=>[8,2,5,3,6,4,1,7]
[5,3,4,8,1,7,2,6]=>[8,7,5,3,4,2,1,6]
[5,1,3,4,8,7,2,6]=>[5,7,1,3,4,2,8,6]
[1,5,3,4,8,7,2,6]=>[1,7,5,3,4,2,8,6]
[5,1,3,8,4,7,6,2]=>[5,6,1,7,3,8,2,4]
[5,3,8,1,4,7,6,2]=>[8,6,5,1,3,7,4,2]
[4,3,5,8,1,7,6,2]=>[8,6,4,3,5,7,1,2]
[3,6,5,4,8,1,2,7]=>[8,1,3,5,6,4,2,7]
[3,6,5,4,8,2,7,1]=>[7,8,3,5,6,4,2,1]
[3,5,2,4,8,7,6,1]=>[6,5,3,2,4,7,8,1]
[2,4,6,1,5,7,8,3]=>[6,2,8,4,1,5,7,3]
[2,6,3,1,5,7,8,4]=>[3,2,6,8,1,5,7,4]
[2,5,3,6,8,4,1,7]=>[4,2,8,5,1,6,3,7]
[2,5,3,6,4,1,8,7]=>[4,2,6,5,1,3,8,7]
[4,6,2,5,1,7,8,3]=>[5,6,8,4,2,1,7,3]
[6,2,5,3,1,7,8,4]=>[3,5,6,8,1,2,7,4]
[2,6,3,1,7,5,8,4]=>[3,2,6,8,7,1,5,4]
[2,3,6,5,8,4,1,7]=>[4,2,3,8,6,5,1,7]
[2,3,5,1,7,6,4,8]=>[5,2,3,6,1,7,4,8]
[2,3,1,7,4,8,6,5]=>[3,2,1,7,6,8,4,5]
[5,2,3,1,8,6,4,7]=>[3,5,2,6,1,8,4,7]
[2,3,6,4,1,5,7,8]=>[4,2,3,6,1,5,7,8]
[4,7,5,1,3,2,8,6]=>[5,3,1,4,7,8,2,6]
[2,8,6,3,7,4,1,5]=>[4,2,7,6,3,8,1,5]
[2,3,8,7,6,4,1,5]=>[4,2,3,6,1,7,8,5]
[2,3,7,6,4,1,5,8]=>[4,2,3,6,1,7,5,8]
[2,6,3,7,4,1,5,8]=>[4,2,7,6,3,1,5,8]
[2,6,3,8,7,4,1,5]=>[4,2,7,6,3,1,8,5]
[2,7,6,3,8,4,1,5]=>[4,2,8,6,3,7,1,5]
[2,7,8,3,1,6,5,4]=>[3,2,8,5,6,1,7,4]
[7,4,8,2,5,1,6,3]=>[5,8,6,7,2,1,4,3]
[7,2,3,1,6,5,4,8]=>[3,7,2,5,6,1,4,8]
[7,5,2,3,1,6,4,8]=>[3,5,2,7,6,4,1,8]
[6,1,3,5,2,7,8,4]=>[6,5,1,8,3,2,7,4]
[1,8,3,5,4,6,2,7]=>[1,6,8,5,3,4,2,7]
[2,3,1,6,4,8,7,5]=>[3,2,1,6,7,4,8,5]
[1,8,3,6,4,2,7,5]=>[1,4,6,8,7,2,3,5]
[2,1,7,4,8,5,3,6]=>[2,1,5,8,7,4,3,6]
[2,3,1,7,5,4,6,8]=>[3,2,1,5,7,4,6,8]
[2,3,7,4,1,5,6,8]=>[4,2,3,7,1,5,6,8]
[2,7,3,8,4,1,5,6]=>[4,2,8,7,3,5,1,6]
[8,2,3,1,4,7,6,5]=>[3,8,2,1,6,7,4,5]
[8,5,2,3,1,4,7,6]=>[3,5,2,1,8,7,4,6]
[5,3,1,4,2,6,8,7]=>[3,5,4,2,1,6,8,7]
[8,2,1,6,3,5,4,7]=>[2,8,6,5,3,1,4,7]
[8,2,1,7,3,6,4,5]=>[2,8,7,6,4,3,1,5]
[8,1,6,4,3,2,5,7]=>[8,3,4,6,2,1,5,7]
[8,1,7,3,2,5,4,6]=>[8,3,7,5,2,4,1,6]
[8,1,6,2,5,4,3,7]=>[8,6,4,5,2,1,3,7]
[7,8,5,2,6,4,3,1]=>[3,4,6,5,8,2,7,1]
[4,2,7,5,1,3,6,8]=>[5,4,1,2,7,3,6,8]
[4,2,8,1,3,6,7,5]=>[8,4,1,2,7,3,6,5]
[7,1,3,6,4,2,5,8]=>[7,4,1,6,2,3,5,8]
[8,1,2,5,7,4,6,3]=>[8,1,6,7,2,4,5,3]
[1,7,4,6,3,5,8,2]=>[1,8,6,7,3,4,5,2]
[7,1,3,6,2,5,8,4]=>[7,6,1,8,2,3,5,4]
[5,2,7,1,4,8,3,6]=>[7,5,8,1,2,3,4,6]
[5,2,7,3,6,1,4,8]=>[6,5,7,1,2,3,4,8]
[7,4,6,3,1,2,5,8]=>[3,1,6,7,2,4,5,8]
[6,4,8,3,1,2,5,7]=>[3,1,8,6,2,4,5,7]
[6,4,1,3,7,2,5,8]=>[4,6,2,7,1,3,5,8]
[6,4,1,3,8,2,5,7]=>[4,6,2,8,1,3,5,7]
[7,4,6,1,2,5,8,3]=>[6,1,8,7,2,4,5,3]
[6,1,3,8,2,5,7,4]=>[6,8,1,7,2,3,5,4]
[7,2,5,3,6,1,4,8]=>[6,7,5,1,2,3,4,8]
[8,2,5,3,6,1,4,7]=>[6,8,5,1,2,3,4,7]
[6,4,7,1,2,5,8,3]=>[7,1,8,6,2,4,5,3]
[6,4,8,1,2,5,7,3]=>[8,1,7,6,2,4,5,3]
[5,7,3,1,6,2,4,8]=>[3,7,6,1,5,2,4,8]
[5,8,3,4,1,2,7,6]=>[4,1,8,3,5,7,2,6]
[4,7,8,3,6,5,1,2]=>[5,1,6,4,8,2,7,3]
[5,2,4,8,3,7,1,6]=>[7,5,8,2,4,1,3,6]
[3,5,8,4,7,1,2,6]=>[7,1,3,8,5,2,4,6]
[4,6,1,5,7,8,2,3]=>[6,8,2,4,1,5,7,3]
[4,6,7,8,3,2,5,1]=>[5,3,8,4,2,6,7,1]
[4,2,1,7,6,5,3,8]=>[2,4,5,1,6,7,3,8]
[3,7,5,1,4,6,2,8]=>[5,7,3,2,6,4,1,8]
[8,7,5,6,2,4,3,1]=>[3,4,6,1,7,5,8,2]
[7,8,5,2,3,1,6,4]=>[3,5,2,8,6,4,7,1]
[6,8,7,4,1,5,2,3]=>[4,7,1,5,2,6,8,3]
[5,2,7,3,1,4,8,6]=>[3,7,5,2,1,8,4,6]
[8,7,4,1,3,6,2,5]=>[4,7,2,6,1,3,8,5]
[8,2,5,3,7,6,1,4]=>[6,7,5,2,1,8,3,4]
[8,6,4,7,5,1,3,2]=>[5,3,1,7,6,8,2,4]
[6,1,2,4,7,8,3,5]=>[6,1,8,2,3,4,7,5]
[2,4,6,5,7,1,8,3]=>[7,2,8,4,6,5,1,3]
[4,6,7,5,2,3,8,1]=>[8,5,2,4,7,6,3,1]
[2,6,7,4,5,3,8,1]=>[8,2,5,7,4,6,3,1]
[2,6,4,7,5,8,3,1]=>[3,2,8,6,7,4,5,1]
[4,6,2,7,5,3,8,1]=>[8,6,5,4,7,2,3,1]
[6,7,4,2,5,3,8,1]=>[8,4,7,5,3,6,2,1]
[4,2,6,7,8,5,3,1]=>[3,5,4,1,8,6,7,2]
[6,2,7,4,5,8,3,1]=>[3,8,6,7,4,1,5,2]
[6,2,4,7,8,5,3,1]=>[3,5,8,2,6,4,7,1]
[6,7,4,5,2,8,3,1]=>[3,8,5,7,4,6,1,2]
[1,5,3,6,4,8,2,7]=>[1,8,5,6,3,4,2,7]
[3,5,2,1,7,8,6,4]=>[2,5,3,6,1,8,7,4]
[3,4,1,8,7,5,6,2]=>[4,6,3,1,7,5,8,2]
[4,2,7,8,6,5,1,3]=>[5,4,1,2,6,8,7,3]
[1,2,7,8,6,4,5,3]=>[1,2,5,6,4,8,7,3]
[3,1,8,6,5,2,4,7]=>[3,5,1,2,6,8,4,7]
[4,8,1,2,6,5,3,7]=>[8,1,5,4,6,2,3,7]
[6,8,5,1,2,4,3,7]=>[5,1,4,2,8,6,3,7]
[4,7,1,6,2,8,3,5]=>[7,6,8,4,3,1,2,5]
[8,1,5,2,3,6,7,4]=>[8,5,2,7,1,3,6,4]
[8,6,7,1,3,2,4,5]=>[7,3,1,2,4,8,6,5]
[7,1,6,3,2,4,8,5]=>[7,3,6,2,8,1,4,5]
[7,5,1,2,3,6,8,4]=>[5,1,2,7,8,4,6,3]
[8,2,1,5,3,4,7,6]=>[2,8,5,3,1,7,4,6]
[6,2,8,7,1,3,4,5]=>[7,6,1,3,4,2,8,5]
[6,4,8,1,2,3,7,5]=>[8,1,2,6,7,4,3,5]
[8,6,7,1,2,3,5,4]=>[7,1,2,5,3,8,6,4]
[6,7,1,2,3,8,5,4]=>[7,1,2,5,8,6,3,4]
[7,8,5,1,2,3,6,4]=>[5,1,2,8,6,4,7,3]
[8,1,7,5,2,3,6,4]=>[8,5,2,7,6,4,1,3]
[5,3,4,1,6,8,7,2]=>[4,7,5,3,1,6,8,2]
[7,4,1,3,6,8,5,2]=>[4,7,2,5,8,3,6,1]
[7,1,8,3,2,6,5,4]=>[7,3,8,5,6,2,1,4]
[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]
[7,3,4,2,5,1,8,6]=>[5,4,7,3,2,8,1,6]
[7,2,5,1,6,4,3,8]=>[5,7,4,6,2,1,3,8]
[5,2,7,1,4,6,3,8]=>[7,5,6,1,2,4,3,8]
[5,2,6,8,4,7,3,1]=>[3,7,5,8,1,6,4,2]
[6,2,1,4,5,8,7,3]=>[2,6,7,1,4,5,8,3]
[6,3,8,5,7,1,4,2]=>[7,4,6,1,8,3,5,2]
[2,4,3,8,5,7,1,6]=>[7,2,4,3,8,1,5,6]
[2,8,3,1,4,6,5,7]=>[3,2,8,1,6,4,5,7]
[2,3,7,4,8,6,5,1]=>[5,2,3,6,8,7,4,1]
[5,6,7,3,1,4,2,8]=>[3,7,4,2,5,6,1,8]
[4,5,7,6,1,3,8,2]=>[6,7,2,4,5,8,3,1]
[4,6,7,5,1,3,2,8]=>[5,3,1,4,7,6,2,8]
[6,5,8,1,4,7,3,2]=>[8,3,7,1,6,5,4,2]
[5,8,7,2,3,1,4,6]=>[3,7,2,1,5,4,8,6]
[4,7,8,1,5,3,6,2]=>[8,6,5,4,1,3,7,2]
[4,3,1,7,6,5,2,8]=>[3,4,5,2,6,7,1,8]
[3,6,5,2,7,4,1,8]=>[4,7,3,5,6,1,2,8]
[3,7,1,6,5,8,2,4]=>[7,8,3,2,6,1,5,4]
[7,4,3,6,8,2,1,5]=>[2,8,4,7,1,3,6,5]
[3,8,5,4,7,6,1,2]=>[6,1,3,5,7,8,2,4]
[1,4,6,8,7,3,5,2]=>[1,5,7,4,3,6,8,2]
[4,6,5,1,3,8,7,2]=>[5,6,2,4,7,3,8,1]
[5,4,6,2,1,8,7,3]=>[2,6,7,5,4,1,8,3]
[3,2,8,5,1,4,6,7]=>[5,3,2,1,8,4,6,7]
[3,5,4,1,2,8,6,7]=>[4,1,3,5,2,8,6,7]
[5,3,8,1,4,2,6,7]=>[8,4,5,1,3,2,6,7]
[5,3,8,1,4,2,7,6]=>[8,4,5,1,3,7,2,6]
[1,4,7,5,8,6,2,3]=>[1,6,2,4,8,7,3,5]
[8,5,7,6,3,4,1,2]=>[4,1,6,3,7,8,2,5]
[7,5,2,6,1,4,8,3]=>[6,5,7,1,8,3,4,2]
[2,4,5,1,8,3,7,6]=>[5,2,8,4,1,7,3,6]
[7,2,8,5,3,4,1,6]=>[4,7,5,3,8,1,2,6]
[6,4,5,3,1,7,8,2]=>[3,5,8,6,4,2,7,1]
[7,3,5,6,4,1,8,2]=>[4,6,8,7,1,5,2,3]
[4,1,3,5,2,6,8,7]=>[4,5,1,3,2,6,8,7]
[3,1,8,5,6,7,4,2]=>[3,4,1,7,8,5,6,2]
[4,3,7,6,1,8,2,5]=>[6,7,4,3,1,8,2,5]
[5,1,7,6,2,3,4,8]=>[5,6,2,3,1,7,4,8]
[4,3,7,6,2,8,1,5]=>[8,6,4,3,1,7,2,5]
[5,2,7,6,4,1,8,3]=>[4,6,5,7,3,8,1,2]
[3,6,5,7,8,4,1,2]=>[4,1,3,8,6,5,7,2]
[6,5,2,4,7,3,1,8]=>[3,7,5,1,6,4,2,8]
[6,1,2,5,7,8,3,4]=>[6,1,8,3,2,5,7,4]
[6,4,3,1,8,5,7,2]=>[3,4,6,7,8,1,5,2]
[2,4,3,5,8,1,7,6]=>[8,2,4,3,5,7,1,6]
[4,2,5,3,1,6,8,7]=>[3,5,4,1,2,6,8,7]
[3,2,7,6,1,5,8,4]=>[6,3,2,7,4,8,5,1]
[1,2,7,6,4,3,8,5]=>[1,2,4,6,7,8,5,3]
[3,4,7,6,8,1,5,2]=>[8,5,3,4,1,7,6,2]
[2,4,7,6,8,1,5,3]=>[8,2,5,4,1,7,6,3]
[2,1,7,6,4,5,3,8]=>[2,1,5,6,4,7,3,8]
[1,4,7,6,8,5,2,3]=>[1,5,2,4,8,7,6,3]
[2,5,6,3,4,1,8,7]=>[4,2,6,3,5,1,8,7]
[4,6,2,1,5,8,3,7]=>[2,6,8,4,1,5,3,7]
[4,6,7,2,3,8,5,1]=>[5,8,1,4,7,6,3,2]
[2,3,6,8,7,1,5,4]=>[7,2,3,5,1,6,8,4]
[2,3,7,8,4,5,1,6]=>[5,2,3,8,4,1,7,6]
[2,3,5,8,7,4,1,6]=>[4,2,3,7,5,1,8,6]
[2,3,5,8,7,4,6,1]=>[6,2,3,7,5,4,8,1]
[2,3,7,8,6,4,1,5]=>[4,2,3,6,1,8,7,5]
[5,6,4,1,8,3,7,2]=>[4,6,7,8,5,2,1,3]
[5,7,4,1,8,6,2,3]=>[4,7,1,6,5,8,2,3]
[4,5,3,7,8,1,2,6]=>[8,1,5,4,3,2,7,6]
[2,3,5,8,1,7,4,6]=>[8,2,3,7,5,4,1,6]
[5,4,2,7,8,3,1,6]=>[3,8,4,5,1,2,7,6]
[2,3,5,8,1,6,4,7]=>[8,2,3,6,5,1,4,7]
[1,5,8,7,3,6,4,2]=>[1,4,6,7,5,2,8,3]
[6,2,5,4,7,1,3,8]=>[7,6,1,5,2,4,3,8]
[8,6,1,5,7,4,2,3]=>[6,4,1,8,2,7,5,3]
[1,8,4,5,7,3,6,2]=>[1,6,7,8,4,3,5,2]
[1,6,4,5,8,7,2,3]=>[1,7,2,6,4,5,8,3]
[1,7,4,5,8,3,6,2]=>[1,6,8,7,4,3,5,2]
[8,6,1,5,4,2,7,3]=>[6,4,5,8,2,7,3,1]
[7,3,6,1,8,5,2,4]=>[6,5,8,3,7,2,1,4]
[2,8,5,6,3,1,4,7]=>[3,2,6,1,8,5,4,7]
[2,3,6,8,7,4,1,5]=>[4,2,3,7,1,6,8,5]
[2,5,8,1,3,6,7,4]=>[8,2,1,7,5,3,6,4]
[4,8,2,6,1,5,7,3]=>[6,8,7,4,1,2,5,3]
[6,3,2,7,4,1,5,8]=>[4,3,7,6,2,1,5,8]
[2,5,3,1,4,7,6,8]=>[3,2,5,1,4,7,6,8]
[2,5,7,8,3,4,1,6]=>[4,2,8,3,5,1,7,6]
[2,3,7,4,1,5,8,6]=>[4,2,3,7,1,8,5,6]
[2,3,7,8,1,5,4,6]=>[8,2,3,5,1,4,7,6]
[2,5,8,1,3,7,4,6]=>[8,2,1,7,5,4,3,6]
[2,5,3,1,4,6,8,7]=>[3,2,5,1,4,6,8,7]
[5,2,6,7,8,3,1,4]=>[3,8,5,2,1,6,7,4]
[2,8,5,6,3,4,1,7]=>[4,2,6,3,8,5,1,7]
[5,6,2,7,8,3,1,4]=>[3,8,6,2,5,1,7,4]
[7,4,2,8,3,5,6,1]=>[6,4,7,8,2,5,3,1]
[6,2,7,8,5,3,4,1]=>[4,6,5,3,8,2,7,1]
[4,2,8,6,3,5,1,7]=>[5,4,6,2,3,8,1,7]
[7,8,4,1,2,5,6,3]=>[4,1,8,6,3,5,7,2]
[3,8,6,1,4,5,2,7]=>[6,5,3,1,4,8,2,7]
[6,7,3,8,1,4,5,2]=>[8,5,7,1,4,6,3,2]
[6,7,8,4,1,2,5,3]=>[4,1,8,5,3,6,7,2]
[2,6,8,4,3,1,5,7]=>[3,2,4,8,1,6,5,7]
[8,4,5,1,6,3,2,7]=>[5,3,6,8,4,1,2,7]
[2,6,7,8,4,1,5,3]=>[4,2,8,5,3,6,7,1]
[2,3,7,5,8,4,6,1]=>[6,2,3,8,7,4,5,1]
[2,5,3,1,6,8,4,7]=>[3,2,5,8,1,6,4,7]
[5,6,7,2,8,1,4,3]=>[8,7,4,1,5,6,2,3]
[3,7,8,5,1,4,6,2]=>[5,8,3,2,6,4,7,1]
[2,5,6,7,1,8,4,3]=>[7,2,4,8,5,6,1,3]
[8,5,3,6,4,2,1,7]=>[2,4,6,5,8,1,3,7]
[2,3,7,4,8,5,6,1]=>[6,2,3,7,8,5,4,1]
[2,3,7,8,5,4,6,1]=>[6,2,3,5,8,4,7,1]
[7,3,8,5,4,2,6,1]=>[6,4,5,8,7,2,3,1]
[6,4,7,8,1,2,5,3]=>[8,1,5,6,2,4,7,3]
[4,8,6,1,2,5,3,7]=>[6,1,5,4,2,8,3,7]
[3,4,8,6,1,5,2,7]=>[6,5,3,4,1,8,2,7]
[7,5,8,1,2,3,6,4]=>[8,1,2,6,7,3,5,4]
[1,2,8,7,4,6,5,3]=>[1,2,5,6,7,3,8,4]
[5,1,4,8,7,3,6,2]=>[5,6,7,1,4,3,8,2]
[4,3,1,8,7,5,6,2]=>[3,4,6,2,7,5,8,1]
[4,3,2,7,6,1,5,8]=>[6,3,4,2,1,7,5,8]
[7,2,6,5,3,1,4,8]=>[3,5,6,1,7,2,4,8]
[1,3,7,6,2,4,8,5]=>[1,6,3,2,7,8,5,4]
[1,3,8,2,7,4,6,5]=>[1,8,3,7,6,4,2,5]
[8,2,7,1,6,4,3,5]=>[7,8,4,6,3,1,2,5]
[4,3,2,8,1,7,5,6]=>[8,3,4,2,7,5,1,6]
[7,5,4,1,6,3,8,2]=>[4,5,7,8,6,3,2,1]
[1,6,5,3,2,4,8,7]=>[1,3,5,2,6,4,8,7]
[1,7,3,5,2,4,8,6]=>[1,5,7,2,3,8,4,6]
[4,3,7,2,5,1,6,8]=>[5,7,4,3,2,1,6,8]
[5,1,4,3,2,6,8,7]=>[5,3,4,1,2,6,8,7]
[7,2,1,3,5,4,6,8]=>[2,7,1,5,3,4,6,8]
[8,3,7,5,4,2,6,1]=>[6,4,5,7,8,2,3,1]
[8,5,4,6,2,7,3,1]=>[3,7,6,5,8,4,1,2]
[3,8,1,4,5,2,7,6]=>[8,5,3,1,4,7,2,6]
[5,3,1,7,6,4,8,2]=>[3,5,8,6,2,7,4,1]
[1,6,8,7,5,2,3,4]=>[1,5,2,3,7,6,8,4]
[7,2,4,8,5,6,3,1]=>[3,6,7,1,8,5,4,2]
[2,5,3,4,8,7,1,6]=>[7,2,5,3,4,1,8,6]
[6,5,4,8,2,3,7,1]=>[7,8,2,5,6,4,3,1]
[1,6,3,7,8,4,5,2]=>[1,5,6,8,4,3,7,2]
[4,3,6,1,8,5,2,7]=>[6,5,4,3,8,1,2,7]
[2,7,3,5,6,8,4,1]=>[4,2,8,7,1,5,6,3]
[1,3,6,2,5,4,8,7]=>[1,6,3,5,2,4,8,7]
[1,4,8,7,3,6,2,5]=>[1,6,7,4,2,3,8,5]
[1,4,8,6,2,5,3,7]=>[1,6,5,4,2,8,3,7]
[4,5,7,6,3,1,8,2]=>[3,6,7,4,5,8,1,2]
[4,6,7,5,1,3,8,2]=>[5,7,2,4,8,6,3,1]
[3,6,5,1,4,7,8,2]=>[5,6,3,2,8,4,7,1]
[4,6,7,3,1,5,8,2]=>[3,7,8,4,2,6,5,1]
[5,4,1,8,7,3,6,2]=>[4,5,6,7,2,1,8,3]
[2,5,8,1,6,7,4,3]=>[8,2,4,7,5,1,6,3]
[8,3,2,5,4,6,1,7]=>[6,3,8,5,2,4,1,7]
[6,2,4,7,5,3,1,8]=>[3,5,7,2,6,4,1,8]
[6,2,5,1,8,7,3,4]=>[5,6,7,3,2,1,8,4]
[3,2,6,1,5,8,7,4]=>[6,3,2,7,1,5,8,4]
[6,2,1,8,4,5,7,3]=>[2,6,7,8,4,1,5,3]
[5,1,8,7,6,4,2,3]=>[5,4,2,6,1,7,8,3]
[7,1,4,5,3,8,2,6]=>[7,8,5,1,4,2,3,6]
[6,5,4,2,3,8,1,7]=>[8,4,2,5,6,3,1,7]
[6,1,4,8,3,7,2,5]=>[6,7,8,1,2,4,3,5]
[4,5,3,8,6,2,1,7]=>[2,6,5,4,3,8,1,7]
[3,6,4,2,8,5,1,7]=>[5,4,3,8,6,1,2,7]
[2,6,5,3,1,8,4,7]=>[3,2,5,6,8,4,1,7]
[4,2,3,6,7,5,1,8]=>[5,4,2,3,7,6,1,8]
[6,2,3,5,7,4,1,8]=>[4,7,1,6,3,5,2,8]
[7,2,4,6,3,5,1,8]=>[5,7,6,2,3,4,1,8]
[1,5,3,8,6,2,4,7]=>[1,6,5,2,3,8,4,7]
[8,1,2,4,7,5,3,6]=>[8,1,5,2,7,3,4,6]
[8,5,1,2,4,7,3,6]=>[5,1,8,3,7,2,4,6]
[5,1,8,2,4,7,3,6]=>[5,8,7,2,1,3,4,6]
[1,6,3,8,4,7,2,5]=>[1,7,6,8,2,3,4,5]
[6,1,8,3,5,2,4,7]=>[6,5,8,2,3,1,4,7]
[8,1,5,2,4,7,3,6]=>[8,5,7,2,1,3,4,6]
[8,5,7,1,4,2,3,6]=>[7,4,2,1,8,3,5,6]
[7,5,8,1,4,2,3,6]=>[8,4,2,1,7,3,5,6]
[5,1,3,8,6,2,4,7]=>[5,6,1,2,3,8,4,7]
[7,2,4,8,5,1,3,6]=>[5,8,2,1,7,3,4,6]
[6,1,3,8,4,7,2,5]=>[6,7,1,8,2,3,4,5]
[8,2,4,7,5,1,3,6]=>[5,7,2,1,8,3,4,6]
[1,3,4,8,5,6,2,7]=>[1,6,3,4,8,5,2,7]
[8,2,3,5,1,7,4,6]=>[5,8,2,7,3,4,1,6]
[2,3,1,5,8,7,4,6]=>[3,2,1,7,5,4,8,6]
[8,1,3,4,5,7,2,6]=>[8,7,1,3,4,2,5,6]
[5,2,1,4,8,7,3,6]=>[2,5,7,1,4,3,8,6]
[2,8,3,5,4,7,1,6]=>[7,2,8,5,3,1,4,6]
[8,3,6,1,5,2,7,4]=>[6,5,8,7,1,3,2,4]
[7,2,4,8,1,6,3,5]=>[8,7,6,2,3,1,4,5]
[1,5,4,6,7,2,8,3]=>[1,7,8,5,4,6,2,3]
[4,3,5,6,1,7,2,8]=>[6,7,4,3,5,1,2,8]
[3,8,2,4,7,5,6,1]=>[6,8,3,2,7,5,4,1]
[3,2,7,1,8,6,5,4]=>[7,3,2,5,6,8,1,4]
[2,8,1,4,6,5,7,3]=>[8,2,7,1,6,4,5,3]
[6,1,2,7,4,5,3,8]=>[6,1,5,7,4,2,3,8]
[1,7,2,3,8,5,6,4]=>[1,7,2,6,8,5,3,4]
[1,3,8,5,6,7,2,4]=>[1,7,3,2,8,5,6,4]
[2,7,4,5,6,1,3,8]=>[6,2,1,7,4,5,3,8]
[6,2,4,1,5,7,8,3]=>[4,6,8,2,1,5,7,3]
[3,1,4,6,7,5,2,8]=>[3,5,1,4,7,6,2,8]
[8,1,4,7,5,6,3,2]=>[8,3,6,1,7,5,4,2]
[4,2,1,5,7,6,8,3]=>[2,4,8,1,5,7,6,3]
[1,4,2,5,7,8,6,3]=>[1,4,6,2,5,8,7,3]
[4,3,2,7,6,1,8,5]=>[6,3,4,2,7,8,5,1]
[7,2,6,5,3,1,8,4]=>[3,5,6,7,8,4,1,2]
[2,8,7,1,5,4,6,3]=>[7,2,6,5,1,4,8,3]
[7,2,8,1,3,5,6,4]=>[8,7,1,6,3,5,2,4]
[5,2,3,1,8,7,6,4]=>[3,5,2,6,1,7,8,4]
[6,1,7,3,5,2,4,8]=>[6,5,7,2,3,1,4,8]
[2,7,6,4,3,5,8,1]=>[8,2,4,6,3,7,5,1]
[6,7,2,5,3,4,8,1]=>[8,7,5,3,2,6,4,1]
[5,8,4,1,3,6,7,2]=>[4,8,2,7,5,3,6,1]
[1,8,5,3,7,6,4,2]=>[1,4,6,5,7,8,3,2]
[6,7,2,3,8,1,4,5]=>[8,7,2,1,4,6,3,5]
[8,2,5,3,7,1,4,6]=>[7,8,5,1,2,4,3,6]
[3,2,7,4,8,1,5,6]=>[8,3,2,7,1,5,4,6]
[2,8,5,6,4,7,1,3]=>[7,2,1,6,8,5,4,3]
[3,1,5,8,7,4,6,2]=>[3,6,1,7,5,4,8,2]
[5,2,8,1,7,4,6,3]=>[8,5,6,7,2,4,1,3]
[1,5,3,8,6,4,7,2]=>[1,7,5,6,3,8,4,2]
[4,7,5,6,2,1,8,3]=>[2,6,8,4,7,5,1,3]
[8,1,3,4,6,2,7,5]=>[8,6,1,3,7,4,2,5]
[1,3,5,6,2,8,7,4]=>[1,6,3,7,5,2,8,4]
[2,5,4,7,3,1,8,6]=>[3,2,7,5,4,8,1,6]
[4,6,3,1,2,5,7,8]=>[3,1,6,4,2,5,7,8]
[7,4,6,8,3,1,2,5]=>[3,1,8,7,2,4,6,5]
[8,5,4,7,3,1,2,6]=>[3,1,7,5,8,2,4,6]
[7,3,2,1,5,4,8,6]=>[2,3,7,5,1,8,4,6]
[1,5,6,3,4,2,8,7]=>[1,4,6,3,5,2,8,7]
[6,1,4,3,5,2,7,8]=>[6,5,4,1,3,2,7,8]
[4,1,5,3,6,7,2,8]=>[4,7,5,1,3,6,2,8]
[2,5,6,4,8,1,3,7]=>[8,2,1,6,5,4,3,7]
[5,1,6,3,7,2,4,8]=>[5,7,6,2,1,3,4,8]
[5,4,1,6,2,3,7,8]=>[4,5,1,6,2,3,7,8]
[5,1,4,6,2,3,7,8]=>[5,6,2,1,4,3,7,8]
[6,4,1,3,5,7,2,8]=>[4,6,2,7,3,5,1,8]
[5,3,1,4,7,2,6,8]=>[3,5,7,2,4,1,6,8]
[7,1,3,2,6,4,5,8]=>[7,3,1,6,4,2,5,8]
[5,2,4,7,3,1,6,8]=>[3,7,5,1,4,2,6,8]
[2,5,6,3,4,1,7,8]=>[4,2,6,3,5,1,7,8]
[5,4,6,2,1,7,3,8]=>[2,6,7,5,4,1,3,8]
[5,1,7,2,4,3,6,8]=>[5,7,4,2,1,3,6,8]
[1,3,6,5,2,4,7,8]=>[1,5,3,2,6,4,7,8]
[5,1,7,3,4,2,6,8]=>[5,4,7,3,1,2,6,8]
[2,5,6,8,3,1,4,7]=>[3,2,8,1,5,6,4,7]
[1,6,5,4,2,3,7,8]=>[1,4,2,5,6,3,7,8]
[8,5,6,2,7,4,1,3]=>[4,7,2,6,8,5,1,3]
[6,4,5,1,2,8,7,3]=>[5,1,7,6,4,2,8,3]
[6,8,3,5,2,1,4,7]=>[2,5,8,1,3,6,4,7]
[6,2,3,5,7,8,1,4]=>[8,6,2,1,3,5,7,4]
[6,3,4,7,8,5,1,2]=>[5,1,8,2,6,4,7,3]
[5,8,1,4,2,6,7,3]=>[8,4,7,1,5,2,6,3]
[2,3,8,4,6,5,1,7]=>[5,2,3,6,8,1,4,7]
[6,3,8,5,1,4,7,2]=>[5,8,7,2,6,1,4,3]
[8,2,7,4,1,6,3,5]=>[4,7,8,6,1,2,3,5]
[5,7,3,4,8,6,2,1]=>[2,6,8,1,5,7,4,3]
[7,1,4,3,8,6,2,5]=>[7,6,4,1,2,8,3,5]
[5,4,1,2,7,6,3,8]=>[4,1,5,6,3,7,2,8]
[5,4,1,3,2,7,6,8]=>[4,3,1,5,2,7,6,8]
[8,2,5,4,3,1,7,6]=>[3,4,5,8,2,7,1,6]
[5,3,1,4,6,8,7,2]=>[3,5,7,2,4,6,8,1]
[6,4,3,5,1,8,7,2]=>[5,7,4,6,3,1,8,2]
[8,2,4,5,6,1,7,3]=>[6,8,7,2,4,5,1,3]
[8,2,6,5,7,3,1,4]=>[3,7,8,2,6,1,5,4]
[7,6,3,5,1,2,8,4]=>[5,1,6,7,4,8,2,3]
[2,3,7,1,6,8,4,5]=>[7,2,3,8,4,1,6,5]
[8,2,4,5,3,7,1,6]=>[7,8,5,2,4,1,3,6]
[8,2,4,3,5,6,1,7]=>[6,8,4,2,3,5,1,7]
[4,3,1,5,6,2,7,8]=>[3,4,6,2,5,1,7,8]
[2,6,3,8,7,1,4,5]=>[7,2,6,1,4,3,8,5]
[5,8,7,3,1,2,4,6]=>[3,1,7,2,5,4,8,6]
[2,7,8,1,4,5,3,6]=>[8,2,5,1,4,3,7,6]
[4,1,2,8,7,3,6,5]=>[4,1,7,2,6,3,8,5]
[2,5,6,3,8,7,1,4]=>[7,2,6,1,5,3,8,4]
[6,1,2,4,3,8,7,5]=>[6,1,4,2,7,3,8,5]
[3,7,8,1,2,4,6,5]=>[8,1,3,2,6,4,7,5]
[7,3,4,1,2,6,8,5]=>[4,1,7,3,8,2,6,5]
[8,4,3,1,2,6,5,7]=>[3,1,4,8,6,2,5,7]
[3,8,2,7,4,5,1,6]=>[5,8,3,7,4,1,2,6]
[8,6,2,3,5,4,1,7]=>[4,5,1,6,3,8,2,7]
[8,2,6,1,3,5,4,7]=>[6,8,1,5,3,2,4,7]
[8,4,3,7,2,5,6,1]=>[6,7,4,8,2,5,3,1]
[8,3,1,7,4,5,2,6]=>[3,8,5,7,4,1,2,6]
[8,2,4,5,1,7,3,6]=>[5,8,7,2,4,3,1,6]
[6,8,2,4,5,1,7,3]=>[5,8,7,2,4,6,1,3]
[4,3,8,1,7,5,6,2]=>[8,6,4,3,7,5,1,2]
[8,4,3,7,1,5,6,2]=>[7,6,4,8,1,5,3,2]
[8,3,4,7,2,6,5,1]=>[5,6,7,1,8,3,4,2]
[8,1,3,7,6,4,5,2]=>[8,5,1,6,4,7,3,2]
[8,3,7,1,4,5,6,2]=>[7,6,8,1,4,5,3,2]
[8,7,3,6,1,2,5,4]=>[6,1,7,5,2,3,8,4]
[8,3,7,6,2,4,5,1]=>[5,6,7,3,4,8,2,1]
[8,7,2,3,6,1,5,4]=>[6,7,2,5,1,3,8,4]
[8,2,7,1,3,4,6,5]=>[7,8,1,3,6,4,2,5]
[5,1,8,4,2,3,7,6]=>[5,4,2,8,1,7,3,6]
[8,2,4,7,3,1,6,5]=>[3,7,8,1,6,2,4,5]
[8,2,7,6,3,1,4,5]=>[3,6,7,1,4,8,2,5]
[6,8,1,4,7,3,2,5]=>[8,3,7,1,2,6,4,5]
[8,5,7,2,6,3,1,4]=>[3,6,7,2,8,1,5,4]
[5,8,2,7,3,1,6,4]=>[3,7,8,6,5,2,1,4]
[8,1,2,6,7,5,4,3]=>[8,1,4,5,7,2,6,3]
[8,4,1,7,5,6,2,3]=>[4,8,1,6,7,5,2,3]
[8,2,4,7,6,5,1,3]=>[5,6,1,2,7,8,4,3]
[8,2,7,6,4,5,1,3]=>[5,8,1,6,4,7,2,3]
[8,4,7,2,3,6,5,1]=>[5,6,1,7,8,4,3,2]
[8,2,4,7,3,6,5,1]=>[5,6,8,3,7,1,4,2]
[8,1,7,6,4,5,2,3]=>[8,5,2,6,4,7,1,3]
[8,1,2,7,6,4,5,3]=>[8,1,5,6,4,7,2,3]
[8,1,4,7,3,6,5,2]=>[8,5,6,1,7,2,4,3]
[2,5,1,8,7,3,6,4]=>[5,2,7,6,1,3,8,4]
[2,8,1,5,3,7,6,4]=>[8,2,5,6,1,7,3,4]
[4,2,1,8,7,3,6,5]=>[2,4,7,1,6,3,8,5]
[1,4,8,5,2,7,6,3]=>[1,5,8,4,6,7,3,2]
[1,8,2,4,7,5,6,3]=>[1,8,6,2,7,5,4,3]
[1,3,8,4,7,5,6,2]=>[1,6,3,8,7,5,4,2]
[2,3,8,1,7,5,6,4]=>[8,2,3,6,7,5,1,4]
[2,3,8,4,7,1,6,5]=>[7,2,3,8,6,1,4,5]
[2,8,1,7,3,4,6,5]=>[8,2,7,3,6,4,1,5]
[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]
[1,6,8,4,2,3,5,7]=>[1,4,2,8,3,6,5,7]
[1,6,7,4,2,3,5,8]=>[1,4,2,7,3,6,5,8]
[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]
[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]
[1,5,2,3,7,6,4,8]=>[1,5,2,6,3,7,4,8]
[1,4,7,6,2,3,5,8]=>[1,6,2,4,3,7,5,8]
[1,8,6,2,3,5,4,7]=>[1,6,2,5,3,8,4,7]
[1,7,6,2,3,8,4,5]=>[1,6,2,7,3,8,4,5]
[1,8,2,3,7,6,4,5]=>[1,8,2,6,4,7,3,5]
[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]
[1,7,3,8,6,2,5,4]=>[1,6,8,5,3,7,2,4]
[7,3,8,6,2,1,5,4]=>[2,6,8,5,3,7,1,4]
[2,1,3,6,8,5,4,7]=>[2,1,3,5,8,6,4,7]
[3,6,8,1,4,2,5,7]=>[8,4,3,1,2,6,5,7]
[5,8,2,7,3,1,4,6]=>[3,7,8,2,5,4,1,6]
[5,1,3,8,4,7,2,6]=>[5,7,1,8,3,2,4,6]
[5,8,2,3,7,4,1,6]=>[4,7,1,8,5,2,3,6]
[4,2,8,3,7,6,1,5]=>[6,4,7,2,3,8,1,5]
[8,1,2,4,7,6,3,5]=>[8,1,6,2,3,7,4,5]
[8,4,3,7,6,1,2,5]=>[6,1,4,7,3,8,2,5]
[1,3,6,2,8,5,4,7]=>[1,6,3,5,8,2,4,7]
[1,3,5,6,4,8,2,7]=>[1,8,3,6,5,4,2,7]
[8,3,6,7,5,2,1,4]=>[2,5,7,3,8,1,6,4]
[4,3,6,1,8,2,5,7]=>[6,8,4,3,2,1,5,7]
[3,8,7,4,6,2,1,5]=>[2,6,3,7,1,4,8,5]
[3,1,8,7,4,6,2,5]=>[3,6,1,7,2,4,8,5]
[1,4,8,3,7,2,5,6]=>[1,7,8,4,2,5,3,6]
[8,1,3,4,7,2,5,6]=>[8,7,1,3,2,5,4,6]
[8,4,2,6,3,5,7,1]=>[7,4,8,6,2,3,5,1]
[8,5,4,2,6,7,3,1]=>[3,7,4,5,8,1,6,2]
[1,7,3,2,5,6,8,4]=>[1,3,7,8,2,5,6,4]
[5,8,3,1,4,6,2,7]=>[3,8,6,2,5,4,1,7]
[4,3,7,1,2,8,6,5]=>[7,1,4,3,6,8,2,5]
[5,4,3,7,2,1,8,6]=>[2,7,4,5,3,8,1,6]
[5,4,3,8,7,1,2,6]=>[7,1,4,5,3,2,8,6]
[4,2,7,5,1,3,8,6]=>[5,4,1,2,7,8,3,6]
[2,1,6,7,3,5,8,4]=>[2,1,7,8,3,6,5,4]
[1,6,2,8,7,4,5,3]=>[1,6,5,7,4,2,8,3]
[3,1,7,8,5,2,4,6]=>[3,5,1,2,8,4,7,6]
[4,3,1,6,7,2,8,5]=>[3,4,7,2,8,6,1,5]
[5,7,4,1,3,8,2,6]=>[4,7,2,8,5,1,3,6]
[8,3,6,7,1,4,2,5]=>[7,4,8,1,2,3,6,5]
[8,1,3,6,7,2,5,4]=>[8,7,1,5,2,3,6,4]
[2,5,3,8,6,7,1,4]=>[7,2,5,1,3,8,6,4]
[6,5,2,4,3,8,1,7]=>[8,5,4,2,6,3,1,7]
[7,5,2,4,3,6,1,8]=>[6,5,4,2,7,3,1,8]
[6,4,3,2,8,5,1,7]=>[5,3,4,8,6,1,2,7]
[7,2,3,8,6,5,1,4]=>[5,6,2,1,8,7,3,4]
[1,8,4,3,7,5,2,6]=>[1,5,4,7,8,3,2,6]
[1,5,6,8,4,3,2,7]=>[1,3,4,8,5,6,2,7]
[6,4,2,3,7,1,8,5]=>[7,4,2,6,8,3,1,5]
[4,5,8,7,1,3,2,6]=>[7,3,1,4,5,2,8,6]
[1,5,4,7,8,3,2,6]=>[1,3,8,5,4,2,7,6]
[4,7,1,3,6,5,2,8]=>[7,5,1,4,6,3,2,8]
[4,6,1,8,2,7,5,3]=>[6,8,5,4,7,1,2,3]
[6,3,2,1,5,7,8,4]=>[2,3,6,8,1,5,7,4]
[3,4,8,1,5,6,2,7]=>[8,6,3,4,1,5,2,7]
[8,4,1,6,7,3,2,5]=>[4,3,8,7,1,2,6,5]
[6,3,5,2,8,4,7,1]=>[7,5,6,8,3,2,4,1]
[1,6,3,5,2,8,4,7]=>[1,5,6,8,3,2,4,7]
[5,4,8,6,3,7,2,1]=>[2,7,6,5,4,8,3,1]
[6,4,5,8,1,3,7,2]=>[8,7,1,6,4,5,3,2]
[6,3,5,1,8,4,7,2]=>[5,7,6,8,3,1,4,2]
[2,6,3,1,5,8,4,7]=>[3,2,6,8,1,5,4,7]
[2,5,4,8,6,3,1,7]=>[3,2,6,5,4,8,1,7]
[2,5,4,8,6,3,7,1]=>[7,2,6,5,4,8,3,1]
[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]
[6,4,5,8,2,1,7,3]=>[2,8,7,6,4,5,1,3]
[5,3,4,1,2,6,8,7]=>[4,1,5,3,2,6,8,7]
[1,4,3,5,2,8,6,7]=>[1,5,4,3,2,8,6,7]
[1,3,5,4,8,2,6,7]=>[1,8,3,5,4,2,6,7]
[3,5,4,8,2,6,1,7]=>[6,8,3,5,4,2,1,7]
[3,6,4,5,1,2,8,7]=>[5,1,3,6,4,2,8,7]
[4,3,5,1,8,6,2,7]=>[5,6,4,3,1,8,2,7]
[3,5,4,8,1,6,2,7]=>[8,6,3,5,4,1,2,7]
[3,4,8,5,6,1,2,7]=>[6,1,3,4,8,5,2,7]
[3,4,8,5,6,2,1,7]=>[2,6,3,4,8,5,1,7]
[3,5,4,8,1,6,7,2]=>[8,7,3,5,4,1,6,2]
[2,4,3,1,5,8,6,7]=>[3,2,4,1,5,8,6,7]
[1,7,6,2,5,4,8,3]=>[1,6,7,5,3,8,4,2]
[5,6,1,7,4,3,8,2]=>[6,8,4,7,5,1,3,2]
[2,8,3,1,5,7,6,4]=>[3,2,8,6,1,7,5,4]
[3,7,2,1,5,6,8,4]=>[2,7,3,8,1,5,6,4]
[7,4,2,1,5,6,8,3]=>[2,4,7,8,3,5,6,1]
[3,8,1,7,2,5,4,6]=>[8,7,3,5,2,4,1,6]
[3,8,4,1,2,7,5,6]=>[4,1,3,8,7,5,2,6]
[3,1,5,6,4,2,7,8]=>[3,4,1,6,5,2,7,8]
[4,8,6,1,2,5,7,3]=>[6,1,8,4,3,7,5,2]
[5,2,1,4,6,7,3,8]=>[2,5,7,1,4,6,3,8]
[6,7,1,5,2,4,3,8]=>[7,5,4,2,1,6,3,8]
[4,8,2,1,6,5,7,3]=>[2,8,7,4,6,1,5,3]
[8,2,4,1,5,7,6,3]=>[4,8,6,2,1,7,5,3]
[7,5,1,3,6,4,2,8]=>[5,4,2,7,6,3,1,8]
[3,1,5,4,6,2,7,8]=>[3,6,1,5,4,2,7,8]
[8,3,4,1,6,5,7,2]=>[4,7,8,3,6,1,5,2]
[1,4,3,7,8,2,6,5]=>[1,8,4,3,6,2,7,5]
[8,2,1,5,4,6,3,7]=>[2,8,6,5,1,4,3,7]
[8,1,6,4,3,5,2,7]=>[8,5,4,6,3,1,2,7]
[4,1,3,7,8,2,5,6]=>[4,8,1,3,2,5,7,6]
[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]
[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]
[5,2,1,3,7,8,6,4]=>[2,5,1,6,3,8,7,4]
[2,1,6,5,3,8,7,4]=>[2,1,5,6,7,4,8,3]
[5,2,1,7,4,6,8,3]=>[2,5,8,7,1,4,6,3]
[2,4,1,5,7,6,8,3]=>[4,2,8,1,5,7,6,3]
[4,5,3,1,6,2,8,7]=>[3,5,6,4,2,1,8,7]
[5,4,1,3,7,6,8,2]=>[4,5,2,8,3,7,6,1]
[3,1,4,2,8,7,5,6]=>[3,4,1,2,7,5,8,6]
[1,4,3,2,8,7,5,6]=>[1,3,4,2,7,5,8,6]
[1,3,7,8,6,2,4,5]=>[1,6,3,2,4,8,7,5]
[1,3,8,5,4,7,2,6]=>[1,7,3,5,8,2,4,6]
[1,4,2,7,6,8,5,3]=>[1,4,5,2,8,7,6,3]
[4,7,8,1,3,5,2,6]=>[8,5,1,4,3,2,7,6]
[4,2,3,5,7,8,1,6]=>[8,4,2,3,5,1,7,6]
[2,6,7,5,1,4,8,3]=>[5,2,7,3,8,6,4,1]
[5,6,8,2,1,4,7,3]=>[2,8,7,1,5,6,4,3]
[3,7,5,6,4,2,1,8]=>[2,4,3,6,7,5,1,8]
[5,6,1,3,7,4,2,8]=>[6,4,1,7,5,3,2,8]
[7,8,2,5,3,6,4,1]=>[4,6,8,5,3,1,7,2]
[6,1,3,2,7,4,5,8]=>[6,3,1,7,4,2,5,8]
[7,2,6,1,3,5,4,8]=>[6,7,1,5,3,2,4,8]
[7,2,5,8,3,6,4,1]=>[4,6,7,8,3,1,5,2]
[7,4,5,2,6,8,3,1]=>[3,8,5,7,4,1,6,2]
[6,1,4,3,7,5,8,2]=>[6,8,4,1,7,3,5,2]
[1,4,6,7,5,8,2,3]=>[1,8,2,4,7,6,5,3]
[5,1,2,8,7,6,4,3]=>[5,1,4,6,2,7,8,3]
[7,1,3,6,5,8,2,4]=>[7,8,1,2,6,3,5,4]
[3,6,1,4,7,5,2,8]=>[6,5,3,1,7,4,2,8]
[7,1,3,4,6,5,8,2]=>[7,8,1,3,6,4,5,2]
[3,8,6,4,5,2,7,1]=>[7,5,3,6,4,8,2,1]
[4,5,8,6,2,3,7,1]=>[7,6,2,4,5,8,3,1]
[4,6,8,5,3,7,2,1]=>[2,7,5,4,8,6,3,1]
[4,5,7,2,8,6,3,1]=>[3,6,8,4,5,7,2,1]
[3,7,4,5,1,6,8,2]=>[5,8,3,7,4,1,6,2]
[4,6,8,1,2,5,7,3]=>[8,1,7,4,2,6,5,3]
[4,6,8,5,1,3,7,2]=>[5,8,2,4,7,6,3,1]
[3,7,4,5,2,8,6,1]=>[6,5,3,8,1,7,2,4]
[3,7,8,4,6,1,5,2]=>[6,5,3,8,1,4,7,2]
[4,5,7,2,1,6,8,3]=>[2,7,8,4,5,1,6,3]
[4,5,1,6,8,3,7,2]=>[5,7,8,4,1,6,3,2]
[8,3,5,4,6,1,2,7]=>[6,1,8,5,3,4,2,7]
[1,7,4,5,2,6,8,3]=>[1,5,8,7,4,2,6,3]
[1,4,2,6,5,3,8,7]=>[1,4,5,2,6,3,8,7]
[3,1,5,8,4,6,2,7]=>[3,6,1,8,5,4,2,7]
[8,2,6,3,4,1,5,7]=>[4,8,6,3,1,2,5,7]
[4,6,5,8,2,1,3,7]=>[2,8,1,4,6,5,3,7]
[1,4,8,3,5,6,2,7]=>[1,6,8,4,3,5,2,7]
[1,8,7,4,2,3,6,5]=>[1,4,2,7,6,3,8,5]
[4,3,1,8,5,7,2,6]=>[3,4,7,2,8,1,5,6]
[7,3,2,4,8,1,6,5]=>[8,3,7,2,6,1,4,5]
[3,7,2,4,5,8,1,6]=>[8,7,3,2,4,1,5,6]
[3,2,7,4,6,1,8,5]=>[6,3,2,7,8,4,1,5]
[8,3,2,4,6,1,7,5]=>[6,3,8,2,7,4,1,5]
[8,3,2,4,5,7,1,6]=>[7,3,8,2,4,1,5,6]
[7,4,6,2,1,3,8,5]=>[2,6,1,7,8,4,3,5]
[3,6,7,2,4,1,8,5]=>[4,7,3,2,8,6,1,5]
[8,4,7,2,3,5,6,1]=>[6,7,2,8,3,5,4,1]
[3,8,6,7,1,5,4,2]=>[7,4,3,5,1,8,6,2]
[4,3,2,8,6,1,5,7]=>[6,3,4,2,1,8,5,7]
[4,1,6,3,2,5,7,8]=>[4,3,6,1,2,5,7,8]
[5,7,1,8,4,3,6,2]=>[7,6,4,8,5,3,1,2]
[5,4,8,7,6,2,3,1]=>[3,6,2,5,4,7,8,1]
[8,4,6,3,1,5,2,7]=>[3,6,5,8,2,4,1,7]
[3,6,1,5,2,4,7,8]=>[6,5,3,2,1,4,7,8]
[3,7,6,2,5,4,1,8]=>[4,5,3,6,1,7,2,8]
[2,7,1,5,3,4,6,8]=>[7,2,5,3,1,4,6,8]
[8,4,5,1,2,7,6,3]=>[5,1,6,7,3,8,2,4]
[5,2,3,8,7,1,6,4]=>[7,5,2,6,3,1,8,4]
[7,5,2,4,1,3,8,6]=>[4,5,1,2,7,8,3,6]
[7,2,6,8,5,1,3,4]=>[5,8,2,3,7,1,6,4]
[8,6,5,4,1,3,7,2]=>[4,5,2,6,8,7,3,1]
[8,2,3,4,1,6,7,5]=>[4,8,2,3,7,1,6,5]
[3,8,7,5,4,2,1,6]=>[2,4,3,5,7,1,8,6]
[3,6,4,8,5,2,1,7]=>[2,5,3,8,6,1,4,7]
[5,3,6,2,1,4,8,7]=>[2,6,5,1,3,4,8,7]
[7,3,6,5,8,1,4,2]=>[8,4,7,1,6,3,5,2]
[7,3,4,8,6,1,5,2]=>[6,5,8,1,3,7,4,2]
[5,2,3,1,6,8,4,7]=>[3,5,2,8,1,6,4,7]
[7,4,3,8,1,6,5,2]=>[8,5,4,6,7,1,2,3]
[5,1,4,2,7,8,6,3]=>[5,4,6,1,2,8,7,3]
[5,4,1,2,7,6,8,3]=>[4,1,5,8,3,7,6,2]
[2,8,7,4,1,5,3,6]=>[4,2,7,5,3,1,8,6]
[2,1,7,5,8,4,3,6]=>[2,1,4,8,7,3,5,6]
[3,6,1,2,8,5,7,4]=>[6,1,3,7,8,2,5,4]
[6,5,1,4,3,8,7,2]=>[5,6,4,2,7,3,8,1]
[6,3,1,2,7,5,8,4]=>[3,1,6,8,7,2,5,4]
[7,5,8,1,4,3,6,2]=>[8,6,4,1,7,3,5,2]
[7,2,1,6,5,8,4,3]=>[2,7,4,8,6,1,5,3]
[7,4,5,3,8,6,2,1]=>[2,6,5,8,1,7,3,4]
[2,4,7,8,6,3,1,5]=>[3,2,6,4,1,8,7,5]
[6,2,4,3,5,8,1,7]=>[8,6,4,2,3,5,1,7]
[2,4,5,8,1,7,3,6]=>[8,2,7,4,5,3,1,6]
[5,2,3,8,4,7,6,1]=>[6,5,2,7,3,8,1,4]
[4,7,3,5,8,2,1,6]=>[2,8,7,4,3,1,5,6]
[7,2,5,4,8,3,1,6]=>[3,8,7,5,1,2,4,6]
[5,2,8,7,4,6,3,1]=>[3,6,5,7,1,4,8,2]
[2,4,7,6,3,1,8,5]=>[3,2,6,4,7,8,5,1]
[4,7,6,2,5,8,1,3]=>[8,6,1,4,2,7,5,3]
[6,3,2,5,7,1,8,4]=>[7,3,6,8,2,5,1,4]
[7,6,3,1,5,8,2,4]=>[3,6,7,2,1,8,5,4]
[7,4,1,6,8,3,5,2]=>[4,7,5,8,1,2,6,3]
[3,6,2,4,5,8,1,7]=>[8,6,3,2,4,5,1,7]
[6,3,2,4,5,8,1,7]=>[8,3,6,2,4,5,1,7]
[7,4,2,3,6,8,1,5]=>[8,4,2,7,1,3,6,5]
[2,6,4,5,8,3,1,7]=>[3,2,8,6,4,5,1,7]
[3,7,4,8,6,2,5,1]=>[5,6,3,8,4,7,2,1]
[4,8,7,1,3,6,2,5]=>[7,6,1,4,2,3,8,5]
[7,3,5,2,8,1,4,6]=>[8,5,7,1,3,4,2,6]
[1,5,8,7,4,2,3,6]=>[1,4,2,7,5,3,8,6]
[1,7,2,4,5,8,6,3]=>[1,7,6,2,4,8,5,3]
[1,4,6,8,7,2,5,3]=>[1,7,5,4,2,6,8,3]
[1,6,2,7,5,3,4,8]=>[1,6,5,3,7,2,4,8]
[1,3,7,2,6,4,5,8]=>[1,7,3,6,4,2,5,8]
[1,7,3,2,8,5,6,4]=>[1,3,7,6,8,5,2,4]
[1,6,5,2,4,8,3,7]=>[1,5,6,3,8,4,2,7]
[1,7,3,8,4,2,5,6]=>[1,4,8,7,3,5,2,6]
[1,6,2,4,7,5,8,3]=>[1,6,8,2,7,4,5,3]
[1,6,2,7,4,3,8,5]=>[1,6,4,7,8,2,3,5]
[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]
[2,5,3,6,7,1,4,8]=>[7,2,5,1,3,6,4,8]
[6,4,1,5,7,2,3,8]=>[4,6,1,7,2,5,3,8]
[7,5,6,2,1,4,8,3]=>[2,6,8,1,7,5,4,3]
[6,4,1,5,7,3,8,2]=>[4,6,8,7,2,5,1,3]
[2,5,3,6,7,4,8,1]=>[8,2,5,7,3,6,4,1]
[6,1,5,7,3,4,2,8]=>[6,4,7,3,1,5,2,8]
[1,2,7,3,8,5,6,4]=>[1,2,7,6,8,5,3,4]
[8,1,6,3,2,7,5,4]=>[8,3,6,5,7,1,2,4]
[7,4,1,6,3,8,2,5]=>[4,7,8,6,3,2,1,5]
[7,5,6,2,4,8,1,3]=>[8,6,1,2,7,5,4,3]
[7,8,5,1,4,2,3,6]=>[5,4,2,1,8,3,7,6]
[5,7,6,1,4,8,2,3]=>[6,7,1,2,5,8,4,3]
[1,5,7,4,3,8,6,2]=>[1,6,4,8,5,7,2,3]
[3,7,8,4,2,1,5,6]=>[2,4,3,8,1,5,7,6]
[5,4,1,3,6,2,7,8]=>[4,5,2,6,3,1,7,8]
[6,5,2,1,4,7,3,8]=>[2,5,6,3,7,4,1,8]
[5,6,2,3,7,1,4,8]=>[7,6,2,1,5,3,4,8]
[5,6,2,3,7,4,8,1]=>[8,6,2,7,5,3,4,1]
[1,6,2,3,7,5,4,8]=>[1,6,2,5,7,3,4,8]
[7,6,2,3,1,5,8,4]=>[3,6,2,7,4,8,5,1]
[2,7,3,1,4,5,8,6]=>[3,2,7,1,4,8,5,6]
[6,5,8,3,2,7,1,4]=>[7,3,8,1,6,5,2,4]
[8,4,3,1,7,6,5,2]=>[3,4,8,5,6,7,1,2]
[1,2,7,6,5,3,4,8]=>[1,2,5,3,6,7,4,8]
[1,2,7,6,4,5,3,8]=>[1,2,5,6,4,7,3,8]
[1,2,8,7,6,4,5,3]=>[1,2,5,6,4,7,8,3]
[1,2,8,7,5,3,4,6]=>[1,2,5,3,7,4,8,6]
[1,2,6,5,3,4,8,7]=>[1,2,5,3,6,4,8,7]
[1,2,7,4,5,3,6,8]=>[1,2,5,7,4,3,6,8]
[1,2,6,7,5,3,4,8]=>[1,2,5,3,7,6,4,8]
[1,2,7,5,4,3,6,8]=>[1,2,4,5,7,3,6,8]
[1,2,6,8,7,4,5,3]=>[1,2,5,7,4,6,8,3]
[1,2,8,6,7,4,5,3]=>[1,2,5,7,4,8,6,3]
[3,4,5,6,8,2,7,1]=>[7,8,3,4,5,6,2,1]
[3,7,5,2,1,6,4,8]=>[2,5,3,7,6,4,1,8]
[6,1,3,5,8,4,2,7]=>[6,4,1,8,3,5,2,7]
[5,2,4,8,1,6,3,7]=>[8,5,6,2,4,1,3,7]
[7,2,1,4,5,6,3,8]=>[2,7,6,1,4,5,3,8]
[4,6,1,3,7,5,2,8]=>[6,5,1,4,7,3,2,8]
[5,6,8,1,3,4,2,7]=>[8,4,1,3,5,6,2,7]
[1,5,6,7,3,4,2,8]=>[1,4,7,3,5,6,2,8]
[5,6,7,1,4,3,2,8]=>[7,3,4,1,5,6,2,8]
[5,7,8,1,4,2,3,6]=>[8,4,2,1,5,3,7,6]
[4,6,8,5,2,1,7,3]=>[2,5,8,4,7,6,3,1]
[1,6,7,8,2,4,5,3]=>[1,8,5,2,4,6,7,3]
[4,7,8,2,1,3,5,6]=>[2,8,1,4,3,5,7,6]
[5,7,8,3,2,4,6,1]=>[6,3,8,2,5,4,7,1]
[3,5,4,1,8,2,6,7]=>[4,5,3,8,2,1,6,7]
[3,5,4,1,8,2,7,6]=>[4,5,3,8,2,7,1,6]
[3,6,1,8,4,2,7,5]=>[6,4,3,8,7,1,2,5]
[5,7,8,2,3,1,6,4]=>[3,8,2,6,5,1,7,4]
[6,7,8,2,3,5,1,4]=>[5,8,2,1,3,6,7,4]
[6,7,8,2,5,1,3,4]=>[5,8,1,3,2,6,7,4]
[6,7,8,2,5,3,4,1]=>[4,8,5,3,2,6,7,1]
[5,7,8,2,6,4,3,1]=>[3,4,6,8,5,2,7,1]
[1,6,7,8,2,5,4,3]=>[1,8,4,5,2,6,7,3]
[6,7,8,2,5,4,1,3]=>[4,5,2,8,1,6,7,3]
[4,5,2,7,8,6,1,3]=>[6,5,1,4,2,8,7,3]
[2,6,5,3,4,7,1,8]=>[7,2,5,3,6,4,1,8]
[1,4,7,3,6,5,8,2]=>[1,8,7,4,6,3,5,2]
[2,4,7,3,6,5,1,8]=>[5,2,6,4,7,1,3,8]
[4,7,1,3,6,5,8,2]=>[7,8,1,4,6,3,5,2]
[1,8,5,3,4,2,6,7]=>[1,4,5,3,8,2,6,7]
[1,3,5,8,7,2,6,4]=>[1,7,3,6,5,2,8,4]
[2,3,5,7,4,6,1,8]=>[6,2,3,7,5,4,1,8]
[6,4,1,8,5,7,3,2]=>[4,3,6,7,8,2,5,1]
[4,1,3,8,7,5,2,6]=>[4,5,1,3,7,2,8,6]
[6,7,3,1,2,5,8,4]=>[3,1,7,8,2,6,5,4]
[2,8,1,4,7,5,6,3]=>[8,2,6,1,7,5,4,3]
[6,5,8,2,1,4,7,3]=>[2,8,7,1,6,5,4,3]
[8,5,1,6,7,2,4,3]=>[5,8,4,1,7,2,6,3]
[6,1,8,5,7,3,2,4]=>[6,3,7,2,8,1,5,4]
[3,6,7,2,1,5,8,4]=>[2,7,3,8,1,6,5,4]
[7,8,4,3,5,1,6,2]=>[5,6,4,8,3,1,7,2]
[3,1,7,6,2,5,8,4]=>[3,6,1,7,4,8,5,2]
[2,5,6,1,3,8,7,4]=>[6,2,1,7,5,3,8,4]
[2,8,1,3,5,7,6,4]=>[8,2,1,6,3,7,5,4]
[3,8,5,7,2,4,6,1]=>[6,7,3,2,8,4,5,1]
[3,1,5,4,6,8,2,7]=>[3,8,1,5,4,6,2,7]
[3,5,4,8,1,7,6,2]=>[8,6,3,5,4,7,1,2]
[5,7,4,6,1,3,2,8]=>[6,3,1,7,5,4,2,8]
[5,8,3,2,6,4,7,1]=>[7,3,8,6,5,2,4,1]
[6,7,1,4,5,2,8,3]=>[7,5,8,1,4,6,2,3]
[7,2,5,6,1,3,8,4]=>[6,7,1,8,2,5,3,4]
[5,7,4,8,6,1,2,3]=>[6,1,2,8,5,7,3,4]
[7,2,6,4,5,1,3,8]=>[5,7,1,6,4,2,3,8]
[6,4,1,2,5,8,3,7]=>[4,1,6,8,3,5,2,7]
[5,4,8,1,6,7,2,3]=>[8,7,2,5,4,1,6,3]
[4,5,1,3,6,7,2,8]=>[5,7,1,4,3,6,2,8]
[5,7,2,6,3,1,8,4]=>[3,6,7,8,5,1,2,4]
[4,6,3,5,7,1,8,2]=>[7,8,6,4,3,5,1,2]
[4,7,3,5,2,6,8,1]=>[8,5,7,4,3,2,6,1]
[7,3,6,5,2,4,8,1]=>[8,5,6,3,7,2,4,1]
[7,3,6,4,5,1,8,2]=>[5,8,7,6,4,3,1,2]
[2,6,3,5,7,1,8,4]=>[7,2,6,8,3,5,1,4]
[2,3,5,4,7,1,8,6]=>[7,2,3,5,4,8,1,6]
[4,5,6,8,1,7,2,3]=>[8,7,2,4,5,6,1,3]
[4,5,8,2,7,3,6,1]=>[6,8,7,4,5,3,2,1]
[4,1,5,7,2,6,8,3]=>[4,7,8,1,5,2,6,3]
[1,3,7,4,2,5,8,6]=>[1,4,3,7,2,8,5,6]
[8,7,2,6,5,3,4,1]=>[4,7,5,3,6,2,8,1]
[6,8,4,1,5,7,3,2]=>[4,3,8,7,2,6,5,1]
[4,5,1,7,2,6,8,3]=>[5,7,8,4,1,2,6,3]
[8,1,6,2,3,7,5,4]=>[8,6,2,5,7,1,3,4]
[7,3,1,2,6,5,8,4]=>[3,1,7,8,6,2,5,4]
[7,1,3,5,6,4,8,2]=>[7,8,1,6,3,5,4,2]
[7,2,3,6,4,5,8,1]=>[8,7,2,6,4,3,5,1]
[6,1,2,5,3,7,4,8]=>[6,1,5,7,2,3,4,8]
[7,3,4,2,8,1,6,5]=>[8,4,7,3,6,1,2,5]
[1,3,4,7,8,5,6,2]=>[1,6,3,4,8,5,7,2]
[1,8,5,3,6,4,7,2]=>[1,7,5,8,6,4,3,2]
[1,6,4,5,8,3,7,2]=>[1,7,8,6,4,5,3,2]
[1,3,6,5,8,4,7,2]=>[1,7,3,8,6,5,4,2]
[8,3,1,6,5,4,2,7]=>[3,8,4,5,6,2,1,7]
[4,5,7,3,2,1,8,6]=>[2,3,7,4,5,8,1,6]
[2,5,8,1,6,4,3,7]=>[8,2,4,6,5,1,3,7]
[4,6,1,2,5,3,8,7]=>[6,1,5,4,2,3,8,7]
[2,5,6,7,3,1,4,8]=>[3,2,7,1,5,6,4,8]
[7,2,5,6,1,4,3,8]=>[6,7,4,1,2,5,3,8]
[6,7,5,1,3,2,8,4]=>[5,3,1,7,8,6,4,2]
[3,5,8,6,7,2,1,4]=>[2,7,3,1,5,8,6,4]
[2,8,3,6,4,1,7,5]=>[4,2,6,8,7,1,3,5]
[8,5,7,1,3,4,2,6]=>[7,4,1,3,8,2,5,6]
[5,1,8,7,3,2,6,4]=>[5,3,7,6,1,2,8,4]
[6,5,3,4,8,2,1,7]=>[2,8,5,3,6,4,1,7]
[6,4,8,7,3,1,2,5]=>[3,1,7,6,2,4,8,5]
[5,4,8,7,3,6,2,1]=>[2,6,7,5,4,3,8,1]
[3,8,5,6,2,4,7,1]=>[7,6,3,2,8,5,4,1]
[4,8,5,6,2,1,7,3]=>[2,6,7,4,8,5,1,3]
[5,8,6,3,7,4,2,1]=>[2,4,7,6,5,8,1,3]
[6,8,7,1,2,5,3,4]=>[7,1,5,3,2,6,8,4]
[5,2,7,6,8,3,4,1]=>[4,5,8,3,2,7,6,1]
[8,4,5,2,7,3,6,1]=>[6,5,7,8,4,3,2,1]
[6,3,7,4,5,2,8,1]=>[8,5,6,7,4,3,2,1]
[7,3,4,2,8,5,6,1]=>[6,4,7,3,8,5,2,1]
[4,3,6,5,8,2,7,1]=>[7,8,4,3,6,5,2,1]
[8,2,7,4,5,3,6,1]=>[6,8,5,7,4,3,2,1]
[7,2,8,4,5,3,6,1]=>[6,7,5,8,4,3,2,1]
[6,3,8,2,7,4,5,1]=>[5,8,6,7,4,3,2,1]
[3,2,8,4,7,5,6,1]=>[6,3,2,8,7,5,4,1]
[8,3,6,2,7,4,5,1]=>[5,6,8,7,4,3,2,1]
[3,4,7,8,2,6,5,1]=>[5,6,3,4,8,1,7,2]
[3,2,6,8,4,5,7,1]=>[7,3,2,8,4,6,5,1]
[2,6,5,8,4,7,3,1]=>[3,2,7,8,6,5,4,1]
[4,3,5,6,8,2,1,7]=>[2,8,4,3,5,6,1,7]
[2,6,5,8,7,4,1,3]=>[4,2,1,7,6,5,8,3]
[3,4,6,8,5,2,1,7]=>[2,5,3,4,8,6,1,7]
[1,7,8,4,3,6,5,2]=>[1,5,4,6,8,2,7,3]
[1,7,8,3,6,5,4,2]=>[1,4,5,6,8,3,7,2]
[6,4,5,8,7,2,1,3]=>[2,7,1,6,4,5,8,3]
[5,8,1,7,2,4,3,6]=>[8,7,4,2,5,3,1,6]
[4,6,7,8,3,1,2,5]=>[3,1,8,4,2,6,7,5]
[5,3,4,6,8,1,2,7]=>[8,1,5,3,4,6,2,7]
[3,6,4,5,8,1,2,7]=>[8,1,3,6,4,5,2,7]
[6,4,1,3,7,5,2,8]=>[4,6,2,5,7,3,1,8]
[5,7,1,6,4,3,2,8]=>[7,3,4,6,5,1,2,8]
[6,8,5,4,2,3,1,7]=>[3,4,2,5,8,6,1,7]
[5,8,1,6,4,2,3,7]=>[8,4,2,6,5,1,3,7]
[3,8,6,5,2,1,4,7]=>[2,5,3,1,6,8,4,7]
[1,4,8,7,2,5,3,6]=>[1,7,5,4,2,3,8,6]
[6,8,1,7,2,4,3,5]=>[8,7,4,2,3,6,1,5]
[2,7,6,8,4,1,3,5]=>[4,2,1,8,3,7,6,5]
[6,5,8,3,2,4,1,7]=>[4,3,8,2,6,5,1,7]
[2,5,7,3,8,1,4,6]=>[8,2,7,1,5,4,3,6]
[6,4,1,3,2,8,7,5]=>[4,3,1,6,7,2,8,5]
[6,5,2,3,8,7,4,1]=>[4,7,1,5,6,3,8,2]
[1,5,6,2,3,8,7,4]=>[1,6,2,7,5,3,8,4]
[7,1,4,5,2,6,3,8]=>[7,5,6,1,4,2,3,8]
[6,4,1,5,3,7,8,2]=>[4,6,8,5,2,1,7,3]
[8,3,5,2,1,6,7,4]=>[2,5,8,7,3,1,6,4]
[5,6,8,3,4,7,1,2]=>[7,1,8,3,5,6,4,2]
[5,7,8,2,3,4,6,1]=>[6,8,2,3,5,4,7,1]
[5,7,2,8,3,4,1,6]=>[4,7,8,3,5,1,2,6]
[3,7,4,5,8,6,1,2]=>[6,1,3,8,2,7,5,4]
[6,4,2,7,8,1,5,3]=>[8,4,6,5,1,3,7,2]
[2,5,1,6,3,8,7,4]=>[5,2,6,7,1,3,8,4]
[3,5,2,7,6,8,1,4]=>[8,5,3,1,2,7,6,4]
[3,6,2,7,5,8,1,4]=>[8,6,3,1,7,2,5,4]
[1,5,4,7,2,8,6,3]=>[1,7,6,5,4,8,2,3]
[3,6,4,7,1,8,2,5]=>[7,8,3,6,2,4,1,5]
[2,6,3,7,1,8,4,5]=>[7,2,6,8,4,3,1,5]
[2,6,1,7,3,8,5,4]=>[6,2,7,5,8,1,3,4]
[2,6,4,7,1,8,5,3]=>[7,2,5,8,6,3,1,4]
[2,5,1,7,6,8,4,3]=>[5,2,4,8,1,7,6,3]
[2,6,5,7,4,8,1,3]=>[8,2,1,7,6,5,4,3]
[2,6,4,7,1,8,3,5]=>[7,2,8,6,3,4,1,5]
[2,6,4,7,3,8,1,5]=>[8,2,7,6,1,4,3,5]
[1,6,5,7,3,8,2,4]=>[1,8,7,2,6,5,3,4]
[1,8,2,4,5,6,3,7]=>[1,8,6,2,4,5,3,7]
[1,8,5,3,7,6,2,4]=>[1,6,5,3,7,8,2,4]
[1,8,5,7,6,4,2,3]=>[1,4,2,6,7,8,3,5]
[1,8,3,7,4,2,6,5]=>[1,4,7,8,6,3,2,5]
[6,1,4,2,7,3,5,8]=>[6,4,7,1,3,2,5,8]
[6,5,1,3,7,4,2,8]=>[5,4,2,6,7,3,1,8]
[7,6,1,8,3,4,2,5]=>[6,4,7,1,2,8,3,5]
[6,4,2,3,8,7,5,1]=>[5,4,1,7,6,3,8,2]
[6,5,1,3,8,4,2,7]=>[5,4,2,6,8,3,1,7]
[6,1,4,2,7,8,3,5]=>[6,4,8,1,3,2,7,5]
[6,5,1,3,7,8,4,2]=>[5,4,2,6,8,3,7,1]
[5,1,3,2,7,8,6,4]=>[5,3,1,6,2,8,7,4]
[5,6,8,2,4,7,1,3]=>[7,8,1,2,5,6,4,3]
[5,6,7,1,4,8,2,3]=>[7,8,2,1,5,6,4,3]
[6,7,4,2,3,8,5,1]=>[5,4,1,8,7,6,3,2]
[5,8,7,3,2,4,6,1]=>[6,3,7,2,5,4,8,1]
[4,1,3,2,5,8,6,7]=>[4,3,1,2,5,8,6,7]
[5,1,3,2,6,8,4,7]=>[5,3,1,8,2,6,4,7]
[5,7,1,4,6,8,2,3]=>[7,8,2,1,5,4,6,3]
[4,1,3,2,5,6,8,7]=>[4,3,1,2,5,6,8,7]
[6,1,4,8,3,7,5,2]=>[6,5,7,1,8,4,2,3]
[7,8,2,3,6,4,1,5]=>[4,6,1,8,2,3,7,5]
[6,7,4,3,2,8,1,5]=>[8,3,4,7,1,6,2,5]
[2,5,8,6,4,3,1,7]=>[3,2,4,6,5,8,1,7]
[2,4,1,7,5,6,3,8]=>[4,2,6,1,7,5,3,8]
[6,5,1,3,2,7,8,4]=>[5,3,1,6,8,4,7,2]
[4,1,3,5,2,8,7,6]=>[4,5,1,3,2,7,8,6]
[4,5,8,6,3,7,1,2]=>[7,1,6,4,5,8,3,2]
[6,2,7,4,1,8,3,5]=>[4,7,6,8,1,3,2,5]
[3,2,4,6,8,1,7,5]=>[8,3,2,4,7,6,1,5]
[6,1,7,8,3,4,2,5]=>[6,4,8,3,2,1,7,5]
[2,4,7,8,5,1,6,3]=>[5,2,8,4,6,3,7,1]
[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]
[2,1,3,5,8,4,7,6]=>[2,1,3,8,5,7,4,6]
[1,4,3,7,6,2,8,5]=>[1,6,4,3,7,8,5,2]
[1,4,2,7,6,3,8,5]=>[1,4,6,2,7,8,5,3]
[1,5,4,2,7,3,8,6]=>[1,4,5,7,3,8,2,6]
[3,6,5,1,7,8,2,4]=>[5,6,3,1,8,2,7,4]
[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]
[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]
[1,2,7,6,8,5,3,4]=>[1,2,5,3,8,7,6,4]
[2,4,6,1,7,8,5,3]=>[6,2,5,4,8,1,7,3]
[1,4,3,8,2,5,7,6]=>[1,8,4,3,2,7,5,6]
[1,5,7,3,6,4,2,8]=>[1,4,6,7,5,2,3,8]
[1,6,7,2,4,8,3,5]=>[1,7,8,2,3,6,4,5]
[3,7,2,8,4,1,5,6]=>[4,8,3,7,2,5,1,6]
[5,1,4,6,3,8,2,7]=>[5,8,6,1,4,3,2,7]
[5,4,3,6,2,8,1,7]=>[8,6,4,5,3,2,1,7]
[2,6,3,5,8,1,4,7]=>[8,2,6,1,3,5,4,7]
[2,7,1,6,8,4,3,5]=>[7,2,4,8,3,1,6,5]
[7,2,6,4,1,8,3,5]=>[4,6,7,8,1,3,2,5]
[3,6,1,5,8,2,7,4]=>[6,8,3,7,1,5,2,4]
[5,3,4,1,7,8,6,2]=>[4,6,5,3,1,8,7,2]
[4,7,6,5,8,2,3,1]=>[3,8,2,4,6,7,5,1]
[5,3,4,7,8,6,2,1]=>[2,6,5,3,4,8,7,1]
[2,3,8,4,5,6,1,7]=>[6,2,3,8,4,5,1,7]
[2,3,8,4,5,7,1,6]=>[7,2,3,8,4,1,5,6]
[4,3,5,7,2,1,8,6]=>[2,7,4,3,5,8,1,6]
[4,3,5,7,2,8,6,1]=>[6,8,4,3,5,7,1,2]
[2,3,8,4,7,1,5,6]=>[7,2,3,8,1,5,4,6]
[3,4,1,7,6,5,8,2]=>[4,8,3,1,6,7,5,2]
[4,1,8,3,2,6,5,7]=>[4,3,8,1,6,2,5,7]
[4,3,7,5,1,6,8,2]=>[5,7,4,3,8,2,6,1]
[6,1,3,8,2,4,5,7]=>[6,8,1,2,4,3,5,7]
[8,2,7,4,3,5,1,6]=>[5,8,4,7,3,1,2,6]
[5,7,2,8,3,1,4,6]=>[3,8,7,2,5,4,1,6]
[4,2,7,5,6,8,3,1]=>[3,8,4,1,7,5,6,2]
[1,2,6,8,4,3,5,7]=>[1,2,4,8,3,6,5,7]
[7,2,6,3,1,8,4,5]=>[3,6,7,8,4,1,2,5]
[5,8,4,1,3,7,2,6]=>[4,8,2,7,5,1,3,6]
[7,2,4,6,5,8,3,1]=>[3,8,7,1,6,4,5,2]
[5,8,4,1,7,3,2,6]=>[4,3,8,7,5,1,2,6]
[6,2,3,5,8,4,7,1]=>[7,6,2,8,3,5,4,1]
[3,4,2,1,6,8,5,7]=>[2,4,3,1,8,6,5,7]
[6,8,4,3,1,2,5,7]=>[3,1,4,8,2,6,5,7]
[5,7,2,8,4,3,1,6]=>[3,4,8,7,5,1,2,6]
[8,1,3,5,6,4,7,2]=>[8,7,1,6,3,5,4,2]
[3,4,7,1,5,6,2,8]=>[7,6,3,4,1,5,2,8]
[4,8,2,6,5,3,7,1]=>[7,8,5,4,6,2,3,1]
[4,8,7,2,5,6,1,3]=>[6,7,1,4,2,5,8,3]
[5,8,6,4,7,3,2,1]=>[2,3,7,6,5,8,4,1]
[8,5,2,3,1,6,7,4]=>[3,5,2,8,7,4,6,1]
[2,8,6,3,5,1,7,4]=>[5,2,6,8,4,7,1,3]
[8,3,2,6,4,1,7,5]=>[4,3,6,8,7,1,2,5]
[8,4,1,5,3,6,7,2]=>[4,8,7,5,2,1,6,3]
[8,3,5,1,4,6,7,2]=>[5,7,8,1,3,4,6,2]
[8,5,1,3,4,6,7,2]=>[5,8,2,3,7,4,6,1]
[3,8,6,2,5,4,7,1]=>[7,6,3,5,2,8,4,1]
[3,8,4,6,5,2,7,1]=>[7,5,3,6,8,2,4,1]
[8,1,7,4,2,5,3,6]=>[8,4,7,5,3,2,1,6]
[8,3,2,5,1,4,7,6]=>[5,3,8,1,2,7,4,6]
[8,4,5,1,2,6,7,3]=>[5,1,7,8,4,2,6,3]
[8,1,5,3,2,6,7,4]=>[8,3,5,7,1,2,6,4]
[8,1,5,2,4,6,7,3]=>[8,5,7,2,1,4,6,3]
[5,2,6,4,1,3,8,7]=>[4,6,2,5,1,3,8,7]
[7,1,3,5,2,8,6,4]=>[7,5,1,6,3,8,2,4]
[8,6,4,7,1,3,5,2]=>[7,5,1,6,3,8,4,2]
[8,6,3,5,7,2,1,4]=>[2,7,6,1,3,8,5,4]
[5,8,6,2,1,4,7,3]=>[2,6,8,3,5,7,4,1]
[8,5,3,1,4,6,2,7]=>[3,5,8,1,6,4,2,7]
[6,8,4,3,2,1,7,5]=>[2,3,4,8,7,6,1,5]
[2,1,8,5,4,3,7,6]=>[2,1,4,5,8,7,3,6]
[7,1,6,4,8,5,3,2]=>[7,3,5,8,6,1,2,4]
[6,2,8,5,4,1,3,7]=>[4,5,1,8,6,2,3,7]
[6,4,8,5,3,2,7,1]=>[7,3,5,8,6,2,4,1]
[3,6,1,8,5,4,2,7]=>[6,4,3,5,8,1,2,7]
[4,7,8,5,3,2,6,1]=>[6,3,5,4,8,2,7,1]
[3,8,5,4,2,6,7,1]=>[7,4,3,5,8,2,6,1]
[7,4,2,6,3,8,5,1]=>[5,4,8,7,6,2,1,3]
[4,8,5,6,2,7,1,3]=>[7,6,1,4,8,5,2,3]
[4,5,8,6,2,7,1,3]=>[7,6,1,4,5,8,2,3]
[7,5,6,3,2,8,4,1]=>[4,3,8,6,7,5,1,2]
[4,8,6,5,7,3,1,2]=>[3,1,7,4,6,8,5,2]
[5,3,2,8,6,7,1,4]=>[7,3,5,1,2,8,6,4]
[5,7,6,3,8,4,2,1]=>[2,4,8,6,5,7,1,3]
[8,5,4,6,2,7,1,3]=>[7,6,1,5,8,4,2,3]
[8,4,7,5,6,3,1,2]=>[3,1,6,8,7,5,4,2]
[4,6,8,5,7,3,1,2]=>[3,1,7,4,8,6,5,2]
[6,8,5,4,7,2,3,1]=>[3,7,2,5,8,6,4,1]
[2,6,7,1,8,5,4,3]=>[7,2,4,5,8,6,1,3]
[3,4,8,1,2,6,5,7]=>[8,1,3,4,6,2,5,7]
[3,2,5,6,7,1,4,8]=>[7,3,2,1,5,6,4,8]
[2,5,7,3,4,8,1,6]=>[8,2,7,3,5,1,4,6]
[2,7,3,5,6,1,4,8]=>[6,2,7,1,3,5,4,8]
[5,2,4,7,8,1,3,6]=>[8,5,1,2,4,3,7,6]
[4,8,5,6,1,2,7,3]=>[6,1,7,4,8,5,2,3]
[2,5,6,8,7,1,4,3]=>[7,2,4,1,5,6,8,3]
[1,7,8,5,4,6,2,3]=>[1,6,2,5,8,4,7,3]
[4,6,8,1,5,2,7,3]=>[8,5,7,4,1,6,2,3]
[6,3,1,4,5,8,7,2]=>[3,6,7,2,4,5,8,1]
[6,1,2,5,3,8,7,4]=>[6,1,5,7,2,3,8,4]
[6,1,3,4,8,7,2,5]=>[6,7,1,3,2,4,8,5]
[6,8,7,1,5,2,4,3]=>[7,5,4,2,1,6,8,3]
[5,3,8,1,2,6,7,4]=>[8,1,5,7,3,2,6,4]
[2,8,5,3,7,6,4,1]=>[4,2,6,5,7,8,3,1]
[1,6,4,2,7,8,5,3]=>[1,4,6,5,8,3,7,2]
[5,1,2,4,6,7,3,8]=>[5,1,7,2,4,6,3,8]
[5,1,3,6,7,2,4,8]=>[5,7,1,2,3,6,4,8]
[3,1,4,7,5,8,6,2]=>[3,6,1,4,8,7,2,5]
[8,3,1,7,4,6,5,2]=>[3,8,5,6,7,1,2,4]
[8,2,3,6,4,1,7,5]=>[4,6,1,8,7,3,2,5]
[2,3,7,5,8,6,1,4]=>[6,2,3,1,8,7,4,5]
[3,8,5,1,2,4,7,6]=>[5,1,3,2,8,7,4,6]
[3,4,7,5,2,8,6,1]=>[6,5,3,4,8,7,1,2]
[1,3,6,4,8,2,7,5]=>[1,8,3,6,7,4,2,5]
[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]
[6,8,1,5,3,4,7,2]=>[8,7,5,3,1,6,4,2]
[1,7,6,2,8,5,3,4]=>[1,6,5,2,7,8,3,4]
[6,4,7,3,5,8,2,1]=>[2,8,7,6,3,4,5,1]
[1,5,8,6,4,7,2,3]=>[1,7,2,6,5,8,4,3]
[8,6,1,2,3,7,5,4]=>[6,1,2,5,8,7,4,3]
[5,6,2,8,1,7,3,4]=>[8,6,7,3,5,2,1,4]
[6,8,4,5,1,3,7,2]=>[5,7,1,8,4,6,3,2]
[7,3,8,1,6,2,5,4]=>[8,6,7,5,2,1,3,4]
[2,5,3,7,4,1,6,8]=>[4,2,7,5,1,3,6,8]
[2,6,7,3,4,1,5,8]=>[4,2,7,3,1,6,5,8]
[2,7,6,3,4,1,5,8]=>[4,2,6,3,1,7,5,8]
[5,1,3,7,4,2,6,8]=>[5,4,1,7,3,2,6,8]
[6,2,7,3,4,1,5,8]=>[4,6,7,3,1,2,5,8]
[5,2,3,8,1,4,6,7]=>[8,5,2,1,3,4,6,7]
[1,6,8,3,2,4,5,7]=>[1,3,8,2,4,6,5,7]
[2,5,3,8,1,4,6,7]=>[8,2,5,1,3,4,6,7]
[2,5,3,1,8,4,6,7]=>[3,2,5,8,1,4,6,7]
[8,6,5,2,4,3,7,1]=>[7,5,4,2,6,8,3,1]
[6,2,5,3,7,4,8,1]=>[8,6,5,7,2,3,4,1]
[8,5,4,2,6,3,7,1]=>[7,4,5,8,6,2,3,1]
[8,5,3,2,6,4,7,1]=>[7,3,5,8,6,4,2,1]
[7,4,6,5,8,2,3,1]=>[3,8,2,7,6,4,5,1]
[7,3,6,5,8,2,4,1]=>[4,8,7,2,6,3,5,1]
[7,3,6,4,8,2,5,1]=>[5,8,7,6,2,3,4,1]
[7,3,5,4,8,2,6,1]=>[6,8,7,5,3,2,4,1]
[7,3,6,8,4,5,1,2]=>[5,1,7,8,4,3,6,2]
[2,6,5,7,4,1,8,3]=>[4,2,7,8,6,5,3,1]
[1,6,5,7,4,2,8,3]=>[1,4,7,8,6,5,3,2]
[2,3,5,7,1,8,6,4]=>[7,2,3,6,5,8,1,4]
[6,4,5,1,8,2,3,7]=>[5,8,2,6,4,1,3,7]
[1,2,7,4,8,5,6,3]=>[1,2,6,7,8,5,4,3]
[7,2,5,6,3,8,4,1]=>[4,8,7,6,3,5,1,2]
[1,6,7,4,8,5,2,3]=>[1,5,2,8,7,6,3,4]
[2,6,7,4,8,5,1,3]=>[5,2,1,8,7,6,3,4]
[4,7,8,5,1,3,6,2]=>[5,8,2,4,6,3,7,1]
[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]
[1,5,3,6,2,8,4,7]=>[1,6,5,8,3,2,4,7]
[4,6,1,3,7,2,8,5]=>[6,7,1,4,8,3,2,5]
[2,6,3,4,8,5,1,7]=>[5,2,8,1,6,4,3,7]
[7,6,3,4,8,5,2,1]=>[2,5,8,1,6,7,4,3]
[1,6,3,4,8,5,2,7]=>[1,5,8,2,6,4,3,7]
[1,7,3,4,8,5,6,2]=>[1,6,7,3,8,5,4,2]
[7,4,8,2,5,3,6,1]=>[6,8,5,7,2,3,4,1]
[3,5,4,6,8,1,7,2]=>[8,7,3,5,4,6,1,2]
[3,2,7,5,8,4,6,1]=>[6,3,2,8,7,4,5,1]
[2,5,8,6,4,3,7,1]=>[7,2,4,6,5,8,3,1]
[6,4,2,5,7,1,8,3]=>[7,4,6,8,3,5,1,2]
[2,7,5,4,6,8,1,3]=>[8,2,1,5,7,4,6,3]
[8,1,4,7,3,5,6,2]=>[8,6,7,1,3,5,4,2]
[8,3,7,2,4,5,6,1]=>[6,7,8,2,4,5,3,1]
[8,1,4,5,7,3,6,2]=>[8,6,7,1,4,3,5,2]
[6,8,4,5,3,7,2,1]=>[2,7,5,8,4,6,3,1]
[7,5,4,6,2,8,3,1]=>[3,8,6,5,7,4,1,2]
[8,4,6,3,2,7,5,1]=>[5,3,7,6,8,1,4,2]
[6,8,4,5,3,2,7,1]=>[7,3,5,8,4,6,2,1]
[6,7,5,4,2,8,3,1]=>[3,8,4,5,7,6,1,2]
[5,7,6,4,8,2,3,1]=>[3,8,2,6,5,7,4,1]
[5,6,3,4,2,8,7,1]=>[7,4,6,3,5,2,8,1]
[7,5,8,2,3,6,4,1]=>[4,6,1,8,7,3,5,2]
[7,2,4,6,5,8,1,3]=>[8,7,1,2,6,4,5,3]
[4,6,1,5,3,7,8,2]=>[6,8,5,4,1,3,7,2]
[6,3,5,4,7,8,1,2]=>[8,1,6,5,3,4,7,2]
[2,5,7,4,6,8,1,3]=>[8,2,1,7,5,4,6,3]
[2,7,8,1,5,3,6,4]=>[8,2,5,6,1,3,7,4]
[6,5,7,1,2,4,3,8]=>[7,1,4,2,6,5,3,8]
[2,5,6,4,1,3,8,7]=>[4,2,1,6,5,3,8,7]
[4,6,1,3,5,7,2,8]=>[6,7,1,4,3,5,2,8]
[3,4,6,2,5,1,8,7]=>[5,6,3,4,2,1,8,7]
[3,2,7,5,8,1,6,4]=>[8,3,2,6,7,1,5,4]
[4,3,6,8,5,2,1,7]=>[2,5,4,3,8,6,1,7]
[4,5,3,2,1,8,6,7]=>[2,3,5,4,1,8,6,7]
[3,6,5,8,1,7,4,2]=>[8,4,3,7,6,5,1,2]
[4,1,6,8,5,2,3,7]=>[4,5,2,1,8,6,3,7]
[4,5,2,8,6,7,1,3]=>[7,5,1,4,2,8,6,3]
[4,5,2,8,6,7,3,1]=>[3,7,5,4,1,8,6,2]
[3,5,8,6,2,4,7,1]=>[7,6,3,2,5,8,4,1]
[2,5,1,6,4,8,3,7]=>[5,2,8,6,1,4,3,7]
[3,2,4,5,8,6,1,7]=>[6,3,2,4,5,8,1,7]
[4,5,2,1,3,8,6,7]=>[2,5,1,4,3,8,6,7]
[4,2,3,6,8,5,1,7]=>[5,4,2,3,8,6,1,7]
[4,5,1,3,2,8,6,7]=>[5,3,1,4,2,8,6,7]
[3,4,5,8,6,1,7,2]=>[6,8,3,4,5,7,2,1]
[3,4,5,8,6,1,2,7]=>[6,1,3,4,5,8,2,7]
[6,8,5,2,4,7,1,3]=>[7,5,1,2,8,6,4,3]
[6,4,1,3,7,8,2,5]=>[4,6,2,8,1,3,7,5]
[4,3,7,8,1,5,6,2]=>[8,6,4,3,1,5,7,2]
[8,3,7,6,1,5,2,4]=>[6,5,7,2,3,8,1,4]
[6,3,1,2,5,4,8,7]=>[3,1,6,5,2,4,8,7]
[7,3,1,2,5,4,8,6]=>[3,1,7,5,2,8,4,6]
[8,2,6,4,1,3,7,5]=>[4,6,2,8,7,1,3,5]
[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]
[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]
[6,2,5,3,1,4,8,7]=>[3,5,6,2,1,4,8,7]
[5,2,6,3,1,4,8,7]=>[3,6,5,2,1,4,8,7]
[3,2,6,4,1,5,8,7]=>[4,3,2,6,1,5,8,7]
[3,2,7,4,1,5,8,6]=>[4,3,2,7,1,8,5,6]
[4,2,7,3,1,5,8,6]=>[3,7,4,1,2,8,5,6]
[6,2,7,3,1,4,8,5]=>[3,7,6,2,8,1,4,5]
[8,3,7,4,1,2,6,5]=>[4,1,7,8,6,3,2,5]
[4,3,7,8,2,6,5,1]=>[5,6,4,3,8,1,7,2]
[3,8,5,1,2,6,7,4]=>[5,1,3,8,7,4,6,2]
[2,4,7,8,3,6,5,1]=>[5,2,6,4,8,1,7,3]
[5,4,7,8,3,6,1,2]=>[6,1,8,5,4,3,7,2]
[6,8,1,3,2,5,7,4]=>[8,3,1,7,2,6,5,4]
[1,4,8,5,7,2,3,6]=>[1,7,2,4,8,3,5,6]
[1,8,7,3,2,4,5,6]=>[1,3,7,2,4,5,8,6]
[8,6,2,7,3,4,1,5]=>[4,6,8,2,1,7,3,5]
[8,6,2,7,3,4,5,1]=>[5,6,8,2,4,7,3,1]
[5,6,3,2,8,7,1,4]=>[7,3,6,1,5,2,8,4]
[5,1,6,7,8,3,2,4]=>[5,3,8,2,1,6,7,4]
[1,5,6,3,7,2,4,8]=>[1,7,6,2,5,3,4,8]
[1,5,6,7,4,2,3,8]=>[1,4,2,7,5,6,3,8]
[5,1,6,7,3,4,2,8]=>[5,4,7,3,1,6,2,8]
[8,6,1,7,3,4,5,2]=>[6,5,8,1,4,7,3,2]
[6,8,5,1,7,4,2,3]=>[5,4,1,8,7,6,2,3]
[8,4,2,3,5,7,6,1]=>[6,4,1,7,3,8,5,2]
[4,8,5,2,3,1,6,7]=>[3,5,2,4,8,1,6,7]
[5,4,8,3,1,2,6,7]=>[3,1,8,5,4,2,6,7]
[8,4,7,3,2,5,6,1]=>[6,3,7,8,2,5,4,1]
[6,8,5,1,7,3,4,2]=>[5,4,8,1,7,6,3,2]
[6,2,7,3,8,1,4,5]=>[8,6,7,1,4,2,3,5]
[8,4,2,6,7,1,5,3]=>[7,4,8,5,1,3,6,2]
[1,7,8,3,6,5,2,4]=>[1,5,6,3,8,2,7,4]
[4,6,7,5,1,8,2,3]=>[5,7,1,4,8,6,2,3]
[3,5,2,6,8,7,4,1]=>[4,7,3,5,1,6,8,2]
[7,3,6,8,4,1,2,5]=>[4,1,8,7,3,2,6,5]
[6,4,2,3,7,5,8,1]=>[8,4,2,6,7,3,5,1]
[6,3,7,5,1,2,8,4]=>[5,1,7,6,8,4,3,2]
[7,2,5,4,8,6,3,1]=>[3,6,8,5,2,7,4,1]
[6,2,3,8,7,4,5,1]=>[5,6,2,7,4,3,8,1]
[7,1,2,8,4,6,5,3]=>[7,1,5,6,8,3,2,4]
[3,5,8,1,2,7,6,4]=>[8,1,3,6,5,7,2,4]
[1,4,3,6,8,5,2,7]=>[1,5,4,3,8,6,2,7]
[7,6,2,8,5,3,4,1]=>[4,6,5,2,7,8,3,1]
[6,8,3,5,4,7,2,1]=>[2,7,8,5,3,6,4,1]
[8,2,7,6,4,1,3,5]=>[4,6,1,7,3,8,2,5]
[8,3,7,5,1,6,2,4]=>[5,7,6,3,8,2,1,4]
[8,5,7,1,4,2,6,3]=>[7,4,6,1,8,2,5,3]
[4,8,2,5,6,3,7,1]=>[7,8,6,4,2,5,3,1]
[8,1,5,7,4,6,2,3]=>[8,6,2,7,1,4,5,3]
[4,7,1,5,6,3,2,8]=>[7,3,6,4,1,5,2,8]
[4,5,7,1,6,3,8,2]=>[7,8,6,4,5,1,3,2]
[2,7,1,4,8,3,6,5]=>[7,2,8,1,6,3,4,5]
[2,7,1,5,6,8,4,3]=>[7,2,4,8,1,5,6,3]
[2,3,1,8,7,4,6,5]=>[3,2,1,7,6,4,8,5]
[4,6,8,2,1,5,3,7]=>[2,8,5,4,1,6,3,7]
[5,6,8,4,7,2,3,1]=>[3,7,2,8,5,6,4,1]
[4,5,7,3,6,1,2,8]=>[6,1,7,4,5,3,2,8]
[4,5,8,2,6,1,7,3]=>[6,8,7,4,5,2,1,3]
[3,4,5,7,2,1,6,8]=>[2,7,3,4,5,1,6,8]
[4,5,6,8,3,2,7,1]=>[7,3,8,4,5,6,2,1]
[4,5,7,2,6,1,8,3]=>[6,7,8,4,5,2,1,3]
[3,4,5,8,1,6,2,7]=>[8,6,3,4,5,1,2,7]
[4,6,5,7,2,3,8,1]=>[8,7,2,4,6,5,3,1]
[3,6,7,2,5,8,4,1]=>[4,8,3,7,1,6,5,2]
[5,3,6,7,4,8,1,2]=>[8,1,5,7,3,6,4,2]
[4,2,7,8,3,6,5,1]=>[5,4,6,2,8,1,7,3]
[4,2,7,8,5,6,1,3]=>[6,4,1,2,8,5,7,3]
[5,4,3,7,8,1,6,2]=>[8,6,4,5,3,1,7,2]
[3,5,7,8,4,2,1,6]=>[2,4,3,8,5,1,7,6]
[4,6,7,3,2,8,1,5]=>[8,3,7,4,1,6,2,5]
[4,6,5,3,7,8,1,2]=>[8,1,5,4,6,3,7,2]
[5,6,2,4,7,8,3,1]=>[3,8,6,1,5,4,7,2]
[5,6,3,2,8,4,7,1]=>[7,3,6,8,5,2,4,1]
[5,6,2,8,3,4,7,1]=>[7,6,8,3,5,2,4,1]
[3,7,4,8,1,6,5,2]=>[8,5,3,6,7,1,2,4]
[5,2,4,8,6,7,3,1]=>[3,7,5,1,4,8,6,2]
[5,2,6,4,8,7,3,1]=>[3,7,5,6,1,4,8,2]
[2,4,7,8,6,5,1,3]=>[5,2,1,4,6,8,7,3]
[3,4,2,5,8,1,7,6]=>[8,4,3,2,5,7,1,6]
[5,2,6,7,8,1,4,3]=>[8,5,4,1,2,6,7,3]
[3,2,4,7,8,1,6,5]=>[8,3,2,4,6,1,7,5]
[3,6,4,7,1,5,8,2]=>[7,8,3,6,1,4,5,2]
[2,5,3,1,7,8,4,6]=>[3,2,5,8,1,4,7,6]
[4,8,1,6,5,2,3,7]=>[8,5,2,4,6,1,3,7]
[4,5,7,6,2,3,1,8]=>[3,6,2,4,5,7,1,8]
[4,8,2,7,5,3,1,6]=>[3,5,7,4,8,1,2,6]
[2,4,7,6,5,1,8,3]=>[5,2,6,4,7,8,1,3]
[1,2,4,6,5,8,3,7]=>[1,2,8,4,6,5,3,7]
[2,8,7,1,6,4,3,5]=>[7,2,4,6,3,1,8,5]
[1,3,7,8,6,4,5,2]=>[1,5,3,6,4,8,7,2]
[4,8,5,6,3,1,2,7]=>[3,1,6,4,8,5,2,7]
[5,4,2,3,1,7,8,6]=>[3,4,2,5,1,8,7,6]
[2,5,1,7,6,3,4,8]=>[5,2,6,3,1,7,4,8]
[4,3,1,5,2,6,7,8]=>[3,4,5,2,1,6,7,8]
[3,5,2,1,4,7,8,6]=>[2,5,3,1,4,8,7,6]
[6,3,5,1,4,8,7,2]=>[5,7,6,1,3,4,8,2]
[6,2,5,1,8,7,4,3]=>[5,6,4,7,2,1,8,3]
[3,5,8,1,7,4,2,6]=>[8,4,3,7,5,2,1,6]
[5,7,1,2,4,8,3,6]=>[7,1,8,2,5,3,4,6]
[5,7,8,1,2,3,6,4]=>[8,1,2,6,5,3,7,4]
[7,5,1,4,3,8,2,6]=>[5,7,4,2,8,1,3,6]
[6,7,8,3,5,2,4,1]=>[4,5,8,2,3,6,7,1]
[1,3,7,8,4,2,5,6]=>[1,4,3,8,2,5,7,6]
[4,7,8,3,6,1,2,5]=>[6,1,8,4,2,3,7,5]
[4,7,3,2,6,5,8,1]=>[8,3,7,4,6,2,5,1]
[5,1,4,3,7,6,8,2]=>[5,8,4,1,3,7,6,2]
[5,8,6,1,7,2,3,4]=>[6,8,1,3,5,7,2,4]
[6,1,4,8,2,5,7,3]=>[6,8,7,1,2,4,5,3]
[8,1,7,2,3,4,6,5]=>[8,7,2,3,6,4,1,5]
[4,8,3,7,2,6,5,1]=>[5,6,7,4,8,3,1,2]
[5,8,2,6,3,4,7,1]=>[7,8,6,3,5,2,4,1]
[5,1,4,3,8,2,6,7]=>[5,8,4,1,3,2,6,7]
[8,4,7,5,6,2,1,3]=>[2,6,1,8,7,5,4,3]
[3,8,6,7,5,2,4,1]=>[4,5,3,2,7,8,6,1]
[8,2,5,4,7,3,6,1]=>[6,8,7,5,2,3,4,1]
[4,2,8,7,3,6,5,1]=>[5,4,6,2,7,1,8,3]
[3,7,8,6,1,4,5,2]=>[6,5,3,1,4,8,7,2]
[4,6,7,8,2,1,5,3]=>[2,8,5,4,1,6,7,3]
[4,7,6,3,8,1,5,2]=>[8,5,6,4,1,7,3,2]
[2,5,7,4,3,6,8,1]=>[8,2,4,7,5,3,6,1]
[5,2,6,4,3,7,8,1]=>[8,5,4,6,2,3,7,1]
[3,7,1,4,8,2,5,6]=>[7,8,3,1,2,5,4,6]
[3,8,1,4,6,2,5,7]=>[8,6,3,1,2,4,5,7]
[5,8,4,6,3,2,1,7]=>[2,3,6,8,5,4,1,7]
[1,8,3,4,6,2,7,5]=>[1,6,8,3,7,4,2,5]
[2,3,5,6,8,7,1,4]=>[7,2,3,1,5,6,8,4]
[2,4,5,3,8,7,1,6]=>[7,2,5,4,3,1,8,6]
[1,3,5,2,6,8,7,4]=>[1,5,3,7,2,6,8,4]
[4,7,5,6,2,8,1,3]=>[8,6,1,4,7,5,2,3]
[2,3,5,8,4,7,1,6]=>[7,2,3,8,5,1,4,6]
[6,7,4,8,5,2,1,3]=>[2,5,1,8,7,6,3,4]
[8,7,5,1,6,3,2,4]=>[5,3,7,1,6,2,8,4]
[7,8,6,2,3,5,1,4]=>[5,6,2,1,3,8,7,4]
[2,8,4,6,7,3,5,1]=>[5,2,7,8,3,4,6,1]
[4,1,6,7,8,2,5,3]=>[4,8,5,1,2,6,7,3]
[8,6,3,4,1,2,7,5]=>[4,1,6,3,8,7,5,2]
[2,5,8,4,6,1,3,7]=>[6,2,1,8,5,4,3,7]
[4,7,8,6,5,1,3,2]=>[5,3,1,4,6,8,7,2]
[8,5,7,3,6,2,1,4]=>[2,6,7,1,8,3,5,4]
[8,4,6,7,3,5,2,1]=>[2,5,7,8,3,4,6,1]
[7,8,4,6,3,5,2,1]=>[2,5,6,8,3,4,7,1]
[5,8,4,6,7,3,2,1]=>[2,3,7,8,5,4,6,1]
[6,8,4,7,3,5,2,1]=>[2,5,7,8,3,6,4,1]
[7,4,5,8,3,6,2,1]=>[2,6,8,7,4,3,5,1]
[8,4,7,3,5,6,2,1]=>[2,6,7,8,3,5,4,1]
[4,5,8,7,3,2,6,1]=>[6,3,7,4,5,2,8,1]
[3,6,4,2,8,1,7,5]=>[8,4,3,6,7,2,1,5]
[2,1,6,5,3,4,7,8]=>[2,1,5,3,6,4,7,8]
[4,2,6,5,3,7,8,1]=>[8,4,5,2,6,3,7,1]
[6,1,7,3,5,8,4,2]=>[6,4,8,7,2,1,5,3]
[5,7,1,3,6,8,4,2]=>[7,4,1,8,5,3,6,2]
[6,7,2,3,5,4,1,8]=>[4,5,1,7,3,6,2,8]
[6,7,8,3,5,4,1,2]=>[4,1,5,8,2,6,7,3]
[5,8,7,3,6,4,1,2]=>[4,1,6,7,5,2,8,3]
[2,5,7,3,6,4,1,8]=>[4,2,6,7,5,1,3,8]
[5,2,1,7,8,6,4,3]=>[2,5,4,6,1,8,7,3]
[4,5,1,7,6,8,3,2]=>[5,3,8,4,1,7,6,2]
[8,3,4,7,6,5,1,2]=>[5,1,6,3,7,8,4,2]
[8,2,4,7,6,1,5,3]=>[6,7,5,1,2,8,4,3]
[8,3,2,4,1,6,7,5]=>[4,3,8,2,7,1,6,5]
[6,8,7,4,2,3,1,5]=>[3,4,2,7,1,6,8,5]
[3,1,8,7,4,2,5,6]=>[3,4,1,7,2,5,8,6]
[3,4,8,6,2,1,7,5]=>[2,6,3,4,8,7,5,1]
[8,4,6,2,1,7,3,5]=>[2,6,7,8,3,4,1,5]
[2,7,3,1,6,8,4,5]=>[3,2,7,8,4,1,6,5]
[2,4,7,3,1,6,8,5]=>[3,2,7,4,8,1,6,5]
[7,2,4,3,1,8,6,5]=>[3,4,7,1,6,8,2,5]
[4,3,1,2,7,5,8,6]=>[3,1,4,2,7,8,5,6]
[7,4,3,1,2,5,8,6]=>[3,1,4,7,2,8,5,6]
[7,3,4,6,2,1,8,5]=>[2,6,7,3,8,4,1,5]
[3,8,6,2,1,7,4,5]=>[2,6,3,8,1,7,4,5]
[3,1,8,2,4,6,5,7]=>[3,8,1,2,6,4,5,7]
[8,1,7,6,2,5,4,3]=>[8,6,4,5,2,7,1,3]
[8,5,4,3,7,6,1,2]=>[6,1,4,5,7,8,2,3]
[4,8,1,3,6,7,5,2]=>[8,5,1,4,7,3,6,2]
[3,5,8,6,1,7,4,2]=>[6,4,3,8,5,7,2,1]
[8,1,4,7,5,2,6,3]=>[8,5,7,1,6,3,4,2]
[1,4,8,6,7,3,5,2]=>[1,5,7,4,3,8,6,2]
[4,1,6,7,8,5,3,2]=>[4,3,5,1,8,6,7,2]
[3,7,8,6,4,1,5,2]=>[4,6,3,5,2,8,7,1]
[5,6,7,1,3,4,8,2]=>[7,8,1,3,5,6,4,2]
[4,6,1,5,7,2,3,8]=>[6,7,2,4,1,5,3,8]
[6,5,1,2,7,3,4,8]=>[5,1,6,2,7,3,4,8]
[4,2,7,6,3,8,5,1]=>[5,4,8,2,6,7,1,3]
[5,8,3,7,6,1,2,4]=>[6,1,7,3,5,8,2,4]
[6,8,7,3,5,4,1,2]=>[4,1,5,7,2,6,8,3]
[4,5,8,3,7,1,6,2]=>[7,6,8,4,5,1,3,2]
[4,7,2,1,3,5,6,8]=>[2,7,1,4,3,5,6,8]
[4,7,1,6,5,2,3,8]=>[7,5,2,4,6,1,3,8]
[6,7,2,4,5,1,3,8]=>[5,7,1,2,4,6,3,8]
[7,1,3,4,2,6,5,8]=>[7,4,1,3,6,2,5,8]
[8,6,2,1,5,3,7,4]=>[2,6,5,8,4,7,3,1]
[4,8,5,3,2,7,1,6]=>[7,3,5,4,8,1,2,6]
[5,4,8,1,3,7,2,6]=>[8,7,1,5,4,2,3,6]
[8,4,5,3,1,7,2,6]=>[3,5,7,8,4,1,2,6]
[7,4,5,3,1,8,6,2]=>[3,5,6,8,1,7,2,4]
[5,6,8,7,2,4,3,1]=>[3,4,7,1,5,6,8,2]
[5,7,8,6,4,2,3,1]=>[3,4,2,6,5,8,7,1]
[6,8,7,5,1,3,2,4]=>[5,3,1,2,7,6,8,4]
[3,8,2,6,7,5,1,4]=>[5,7,3,2,8,1,6,4]
[4,7,6,3,8,2,5,1]=>[5,8,6,4,2,7,3,1]
[6,7,4,1,8,2,5,3]=>[4,7,8,5,3,6,2,1]
[5,7,6,8,3,2,4,1]=>[4,3,8,2,5,7,6,1]
[7,6,4,2,8,1,5,3]=>[8,4,6,5,1,7,3,2]
[7,3,4,8,6,1,2,5]=>[6,1,8,2,3,7,4,5]
[6,3,4,8,7,1,2,5]=>[7,1,6,3,2,4,8,5]
[7,4,3,8,6,1,2,5]=>[6,1,4,8,3,7,2,5]
[1,7,5,3,6,8,2,4]=>[1,8,5,2,7,3,6,4]
[3,6,4,8,7,1,2,5]=>[7,1,3,6,2,4,8,5]
[2,7,4,8,1,6,3,5]=>[8,2,6,7,3,1,4,5]
[5,7,4,6,8,2,3,1]=>[3,8,2,7,5,4,6,1]
[2,6,5,7,8,1,3,4]=>[8,2,1,3,6,5,7,4]
[4,6,5,7,8,2,3,1]=>[3,8,2,4,6,5,7,1]
[5,3,1,6,7,8,2,4]=>[3,5,8,1,2,6,7,4]
[6,3,1,5,7,8,2,4]=>[3,6,8,1,2,5,7,4]
[7,3,1,5,6,8,2,4]=>[3,7,8,1,2,5,6,4]
[3,4,7,8,6,1,2,5]=>[6,1,3,4,2,8,7,5]
[2,1,4,7,8,6,3,5]=>[2,1,6,4,3,8,7,5]
[2,1,5,7,6,8,3,4]=>[2,1,8,3,5,7,6,4]
[3,5,7,6,8,1,2,4]=>[8,1,3,2,5,7,6,4]
[2,4,5,8,1,6,3,7]=>[8,2,6,4,5,1,3,7]
[3,4,6,8,2,5,7,1]=>[7,8,3,4,2,6,5,1]
[1,8,7,5,2,6,4,3]=>[1,5,4,7,6,3,8,2]
[4,3,5,8,1,6,2,7]=>[8,6,4,3,5,1,2,7]
[1,8,4,6,3,2,5,7]=>[1,3,6,8,2,4,5,7]
[1,8,5,6,4,2,3,7]=>[1,4,2,6,8,5,3,7]
[6,7,1,8,2,4,3,5]=>[7,8,4,2,3,6,1,5]
[2,4,5,3,8,1,6,7]=>[8,2,5,4,3,1,6,7]
[2,6,8,3,7,5,4,1]=>[4,2,5,7,8,6,3,1]
[3,5,8,1,6,7,4,2]=>[8,4,3,7,5,1,6,2]
[1,8,7,6,2,4,5,3]=>[1,6,5,2,4,7,8,3]
[3,4,2,5,8,1,6,7]=>[8,4,3,2,5,1,6,7]
[6,4,8,5,7,3,1,2]=>[3,1,7,6,8,4,5,2]
[6,2,4,7,1,5,8,3]=>[7,6,8,2,1,4,5,3]
[1,6,4,7,2,5,8,3]=>[1,7,8,6,2,4,5,3]
[2,7,5,1,8,6,3,4]=>[5,2,7,1,6,8,3,4]
[6,8,1,3,2,4,7,5]=>[8,3,1,2,7,6,4,5]
[8,5,1,3,4,2,7,6]=>[5,4,1,3,8,7,2,6]
[8,3,4,5,1,7,6,2]=>[5,6,7,2,4,8,1,3]
[4,7,1,6,5,3,8,2]=>[7,8,5,4,6,1,3,2]
[8,2,1,4,5,3,6,7]=>[2,8,5,1,4,3,6,7]
[8,4,1,5,3,6,2,7]=>[4,8,6,5,2,1,3,7]
[4,1,5,6,3,7,8,2]=>[4,8,6,1,5,3,7,2]
[5,6,1,7,4,8,3,2]=>[6,3,8,7,5,1,4,2]
[1,7,5,6,4,8,2,3]=>[1,8,2,6,7,5,4,3]
[2,4,8,3,5,1,6,7]=>[5,2,8,4,3,1,6,7]
[2,4,8,5,7,3,1,6]=>[3,2,7,4,8,1,5,6]
[4,3,6,7,1,2,8,5]=>[7,1,4,3,8,6,2,5]
[8,3,1,4,6,2,7,5]=>[3,8,6,2,7,4,1,5]
[2,5,8,6,3,7,1,4]=>[7,2,6,1,5,8,3,4]
[2,5,7,3,4,6,1,8]=>[6,2,7,3,5,4,1,8]
[2,5,4,8,1,3,6,7]=>[8,2,1,5,4,3,6,7]
[7,2,5,3,1,6,8,4]=>[3,5,7,8,1,2,6,4]
[8,3,6,1,2,7,5,4]=>[6,1,8,5,7,3,2,4]
[6,3,1,7,2,8,4,5]=>[3,6,7,8,4,2,1,5]
[2,3,5,4,7,8,1,6]=>[8,2,3,5,4,1,7,6]
[4,3,5,2,7,8,1,6]=>[8,5,4,3,2,1,7,6]
[1,3,6,7,4,8,2,5]=>[1,8,3,7,2,6,4,5]
[7,2,6,4,5,8,1,3]=>[8,7,1,6,4,2,5,3]
[5,4,2,3,7,8,1,6]=>[8,4,2,5,3,1,7,6]
[2,1,4,7,6,8,3,5]=>[2,1,8,4,3,7,6,5]
[4,1,2,7,6,8,3,5]=>[4,1,8,2,3,7,6,5]
[6,2,1,5,8,7,4,3]=>[2,6,4,7,1,5,8,3]
[7,2,6,5,4,8,1,3]=>[8,7,1,5,6,2,4,3]
[4,5,2,3,7,8,1,6]=>[8,5,2,4,3,1,7,6]
[3,4,2,5,7,8,1,6]=>[8,4,3,2,5,1,7,6]
[7,2,5,4,6,8,1,3]=>[8,7,1,5,2,4,6,3]
[5,3,4,2,7,8,1,6]=>[8,4,5,3,2,1,7,6]
[5,3,4,6,1,8,2,7]=>[6,8,5,3,4,1,2,7]
[4,7,8,5,1,2,6,3]=>[5,1,8,4,6,3,7,2]
[2,5,7,4,8,3,1,6]=>[3,2,8,7,5,1,4,6]
[4,1,6,8,7,2,5,3]=>[4,7,5,1,2,6,8,3]
[7,3,4,8,6,5,2,1]=>[2,5,6,3,8,7,4,1]
[4,5,7,1,8,2,6,3]=>[7,8,6,4,5,2,1,3]
[2,3,5,8,4,1,7,6]=>[4,2,3,8,5,7,1,6]
[7,2,4,1,3,8,6,5]=>[4,7,1,2,6,8,3,5]
[6,1,3,5,2,8,7,4]=>[6,5,1,7,3,2,8,4]
[2,7,1,5,3,8,6,4]=>[7,2,5,6,1,8,3,4]
[7,4,6,5,2,3,1,8]=>[3,5,2,6,7,1,4,8]
[3,5,7,2,8,4,1,6]=>[4,8,3,7,5,2,1,6]
[2,4,3,8,5,1,7,6]=>[5,2,4,3,8,7,1,6]
[7,4,8,2,3,1,6,5]=>[3,8,2,7,6,1,4,5]
[7,3,2,1,4,8,6,5]=>[2,3,7,1,6,8,4,5]
[2,8,3,4,1,7,6,5]=>[4,2,8,3,6,7,1,5]
[4,2,7,3,5,1,8,6]=>[5,4,7,2,3,8,1,6]
[7,2,6,1,8,4,5,3]=>[6,7,5,8,4,2,1,3]
[6,1,7,2,4,8,5,3]=>[6,7,5,2,8,1,4,3]
[4,7,6,8,2,5,3,1]=>[3,5,8,4,1,7,6,2]
[2,6,7,1,4,5,8,3]=>[7,2,8,1,4,6,5,3]
[6,3,7,1,8,5,4,2]=>[7,4,5,8,6,3,1,2]
[7,3,4,6,2,5,8,1]=>[8,6,7,3,2,4,5,1]
[5,7,1,6,8,3,4,2]=>[7,4,8,3,5,1,6,2]
[1,6,7,3,5,8,4,2]=>[1,4,8,7,2,6,5,3]
[8,7,1,6,3,5,2,4]=>[7,5,6,2,3,1,8,4]
[8,7,2,3,6,5,1,4]=>[5,6,1,2,7,3,8,4]
[2,8,1,5,7,6,4,3]=>[8,2,4,6,1,7,5,3]
[8,1,2,5,7,6,4,3]=>[8,1,4,6,2,7,5,3]
[8,7,2,6,1,3,5,4]=>[6,7,1,5,3,2,8,4]
[8,7,2,6,1,5,3,4]=>[6,7,5,3,1,2,8,4]
[7,1,2,5,8,6,4,3]=>[7,1,4,6,2,8,5,3]
[7,1,3,8,2,6,4,5]=>[7,8,1,6,4,2,3,5]
[2,5,8,3,6,7,1,4]=>[7,2,8,1,5,3,6,4]
[2,6,8,5,4,7,1,3]=>[7,2,1,5,8,6,4,3]
[2,4,7,6,1,3,8,5]=>[6,2,1,4,7,8,5,3]
[5,2,6,7,1,4,3,8]=>[7,5,4,1,2,6,3,8]
[2,4,1,5,7,6,3,8]=>[4,2,6,1,5,7,3,8]
[6,2,5,3,4,7,1,8]=>[7,6,5,3,2,4,1,8]
[6,4,8,3,1,5,2,7]=>[3,8,5,6,2,4,1,7]
[2,7,3,4,1,5,8,6]=>[4,2,7,3,1,8,5,6]
[7,3,1,6,2,5,8,4]=>[3,7,6,8,1,2,5,4]
[1,8,4,3,5,2,6,7]=>[1,5,4,8,3,2,6,7]
[2,5,8,1,6,7,3,4]=>[8,2,7,3,5,1,6,4]
[4,1,7,2,5,6,3,8]=>[4,7,6,1,2,5,3,8]
[1,7,2,6,5,3,4,8]=>[1,7,5,3,6,2,4,8]
[2,6,1,7,4,3,5,8]=>[6,2,4,7,3,1,5,8]
[4,2,6,8,3,5,1,7]=>[5,4,8,2,3,6,1,7]
[6,2,8,3,4,5,1,7]=>[5,6,8,3,4,2,1,7]
[3,8,2,6,4,5,1,7]=>[5,8,3,6,4,2,1,7]
[2,8,3,4,6,5,1,7]=>[5,2,6,1,8,4,3,7]
[7,1,5,8,2,4,3,6]=>[7,8,4,2,1,3,5,6]
[3,6,1,8,2,5,7,4]=>[6,8,3,7,2,1,5,4]
[7,2,1,8,5,3,6,4]=>[2,7,5,8,6,4,1,3]
[7,2,4,1,3,5,8,6]=>[4,7,1,2,3,8,5,6]
[7,3,4,6,8,2,1,5]=>[2,8,7,3,1,4,6,5]
[5,1,3,7,2,8,4,6]=>[5,7,1,8,3,4,2,6]
[5,2,4,6,1,7,8,3]=>[6,5,8,2,4,1,7,3]
[3,8,4,6,1,5,7,2]=>[6,7,3,8,1,4,5,2]
[8,7,3,2,5,1,6,4]=>[5,3,7,6,2,1,8,4]
[3,6,4,1,2,5,8,7]=>[4,1,3,6,2,5,8,7]
[5,2,7,1,4,3,6,8]=>[7,5,4,1,2,3,6,8]
[6,3,1,4,2,5,8,7]=>[3,6,4,2,1,5,8,7]
[5,2,3,1,4,6,8,7]=>[3,5,2,1,4,6,8,7]
[4,2,7,1,3,5,8,6]=>[7,4,1,2,3,8,5,6]
[3,5,4,1,6,2,8,7]=>[4,5,3,6,2,1,8,7]
[4,5,7,2,8,3,1,6]=>[3,8,7,4,5,2,1,6]
[3,5,1,7,6,2,8,4]=>[5,6,3,7,1,8,4,2]
[4,6,7,3,1,8,2,5]=>[3,7,8,4,1,6,2,5]
[8,3,6,2,7,5,4,1]=>[4,5,7,6,8,2,1,3]
[8,4,2,6,5,3,7,1]=>[7,4,8,5,6,3,2,1]
[5,4,2,7,1,8,6,3]=>[7,4,5,6,3,8,1,2]
[4,1,7,6,5,3,2,8]=>[4,3,5,1,6,7,2,8]
[2,3,6,7,1,8,5,4]=>[7,2,3,5,8,6,1,4]
[3,6,1,2,7,8,5,4]=>[6,1,3,5,8,2,7,4]
[4,5,1,8,7,6,3,2]=>[5,3,6,4,1,7,8,2]
[8,4,5,2,7,6,3,1]=>[3,6,5,7,2,8,1,4]
[4,1,3,6,7,5,2,8]=>[4,5,1,3,7,6,2,8]
[3,1,4,5,7,6,2,8]=>[3,6,1,4,5,7,2,8]
[4,5,1,3,6,8,7,2]=>[5,7,1,4,3,6,8,2]
[3,8,5,1,2,4,6,7]=>[5,1,3,2,8,4,6,7]
[8,5,1,2,4,3,6,7]=>[5,1,4,2,8,3,6,7]
[5,8,4,1,2,3,6,7]=>[4,1,2,8,5,3,6,7]
[3,5,8,1,4,2,7,6]=>[8,4,3,1,5,7,2,6]
[2,8,5,7,1,4,3,6]=>[7,2,4,1,8,3,5,6]
[4,8,7,5,1,2,3,6]=>[5,1,2,4,7,3,8,6]
[8,1,2,4,6,3,7,5]=>[8,1,6,2,7,4,3,5]
[7,6,1,4,2,3,8,5]=>[6,4,2,1,7,8,5,3]
[6,1,2,7,8,4,3,5]=>[6,1,4,8,3,2,7,5]
[7,8,1,2,5,3,4,6]=>[8,1,5,3,2,4,7,6]
[1,8,4,7,5,2,3,6]=>[1,5,2,7,8,4,3,6]
[8,4,7,2,1,6,3,5]=>[2,7,6,8,3,1,4,5]
[4,5,8,2,1,6,7,3]=>[2,8,7,4,5,1,6,3]
[7,4,2,5,3,6,1,8]=>[6,4,7,5,3,2,1,8]
[3,1,6,7,5,2,4,8]=>[3,5,1,2,7,6,4,8]
[8,4,2,5,3,6,7,1]=>[7,4,8,5,3,2,6,1]
[4,8,1,5,3,6,7,2]=>[8,7,5,4,1,3,6,2]
[4,1,7,5,2,6,3,8]=>[4,5,7,1,6,3,2,8]
[5,1,4,6,3,7,8,2]=>[5,8,6,1,4,3,7,2]
[7,1,5,3,6,8,2,4]=>[7,8,5,2,1,3,6,4]
[8,1,5,3,6,7,2,4]=>[8,7,5,2,1,3,6,4]
[3,6,5,2,4,7,8,1]=>[8,5,3,2,6,4,7,1]
[1,7,5,4,6,8,2,3]=>[1,8,2,5,7,4,6,3]
[4,7,8,2,5,6,1,3]=>[6,8,1,4,2,5,7,3]
[2,8,5,4,6,7,1,3]=>[7,2,1,5,8,4,6,3]
[5,2,8,7,3,1,6,4]=>[3,7,5,6,1,2,8,4]
[4,5,2,6,1,8,3,7]=>[6,5,8,4,2,1,3,7]
[3,2,4,7,1,6,5,8]=>[7,3,2,4,6,1,5,8]
[7,1,5,6,8,3,4,2]=>[7,4,8,3,1,5,6,2]
[5,1,8,6,7,3,4,2]=>[5,4,7,3,1,8,6,2]
[8,4,5,2,6,7,1,3]=>[7,5,1,8,4,2,6,3]
[1,8,6,5,7,4,2,3]=>[1,4,2,7,6,8,5,3]
[6,8,5,3,7,4,1,2]=>[4,1,7,5,8,6,2,3]
[6,3,2,4,1,7,5,8]=>[4,3,6,2,7,1,5,8]
[6,3,2,4,1,5,8,7]=>[4,3,6,2,1,5,8,7]
[8,5,3,2,1,7,4,6]=>[2,3,5,8,7,1,4,6]
[6,8,3,2,4,1,5,7]=>[4,3,8,2,1,6,5,7]
[7,3,2,4,1,5,8,6]=>[4,3,7,2,1,8,5,6]
[8,7,3,5,6,4,1,2]=>[4,1,6,7,2,5,8,3]
[1,5,8,7,6,4,2,3]=>[1,4,2,6,5,7,8,3]
[6,5,2,4,1,7,8,3]=>[4,5,6,3,8,1,7,2]
[2,6,1,7,5,4,8,3]=>[6,2,8,5,7,1,4,3]
[5,4,3,1,7,2,6,8]=>[3,4,5,7,1,2,6,8]
[5,4,8,2,1,3,6,7]=>[2,8,1,5,4,3,6,7]
[7,5,1,3,2,8,4,6]=>[5,3,1,7,8,2,4,6]
[1,4,8,3,2,6,5,7]=>[1,3,8,4,6,2,5,7]
[1,8,3,4,2,5,7,6]=>[1,4,8,3,2,7,5,6]
[1,3,8,4,2,7,5,6]=>[1,4,3,8,7,5,2,6]
[7,2,8,3,1,4,5,6]=>[3,8,7,2,4,5,1,6]
[2,8,1,7,4,3,5,6]=>[8,2,4,7,3,5,1,6]
[8,1,3,2,7,5,4,6]=>[8,3,1,5,7,4,2,6]
[7,2,4,6,3,1,8,5]=>[3,6,7,1,8,4,2,5]
[7,4,3,6,5,1,2,8]=>[5,1,4,6,7,2,3,8]
[4,6,1,7,2,5,3,8]=>[6,7,5,4,2,1,3,8]
[7,6,1,8,2,5,4,3]=>[6,7,4,5,1,8,2,3]
[4,6,1,7,2,5,8,3]=>[6,7,8,4,2,1,5,3]
[8,4,1,6,7,3,5,2]=>[4,8,5,7,1,2,6,3]
[4,8,2,3,7,1,5,6]=>[7,8,2,4,1,5,3,6]
[3,1,7,8,6,5,4,2]=>[3,4,1,5,6,8,7,2]
[7,4,3,1,5,8,2,6]=>[3,4,7,8,1,2,5,6]
[5,8,4,2,1,6,3,7]=>[2,4,8,6,5,3,1,7]
[8,6,7,1,2,5,4,3]=>[7,1,4,5,2,8,6,3]
[6,7,4,1,2,8,5,3]=>[4,1,7,5,8,6,3,2]
[4,6,7,8,2,5,1,3]=>[5,8,1,4,2,6,7,3]
[7,6,4,1,2,5,3,8]=>[4,1,6,5,3,7,2,8]
[5,4,2,8,1,6,3,7]=>[8,4,5,6,3,1,2,7]
[4,7,2,1,6,5,3,8]=>[2,7,5,4,6,1,3,8]
[7,6,3,8,2,5,4,1]=>[4,5,8,6,3,7,1,2]
[6,5,7,1,3,2,4,8]=>[7,3,1,2,6,5,4,8]
[8,7,2,6,4,5,3,1]=>[3,5,7,6,4,1,8,2]
[2,6,1,7,4,5,3,8]=>[6,2,5,7,4,1,3,8]
[6,3,1,7,4,5,2,8]=>[3,6,5,7,4,2,1,8]
[3,7,8,6,4,5,2,1]=>[2,5,3,6,4,8,7,1]
[7,2,8,4,3,6,1,5]=>[6,7,4,8,1,3,2,5]
[2,7,8,6,4,5,1,3]=>[5,2,1,6,4,8,7,3]
[1,6,3,5,8,2,7,4]=>[1,8,6,7,3,5,2,4]
[1,7,5,4,8,6,2,3]=>[1,6,2,5,8,7,3,4]
[5,8,3,4,7,6,1,2]=>[6,1,7,2,5,8,4,3]
[1,4,2,8,5,6,7,3]=>[1,4,7,2,8,5,6,3]
[2,4,5,1,8,6,7,3]=>[5,2,7,4,1,8,6,3]
[6,7,3,2,8,5,4,1]=>[4,3,5,8,7,6,2,1]
[6,8,7,3,2,5,4,1]=>[4,3,5,7,1,6,8,2]
[7,3,8,6,4,2,5,1]=>[5,4,6,8,2,7,3,1]
[6,4,2,8,5,7,3,1]=>[3,7,4,6,8,1,5,2]
[5,6,2,1,7,3,4,8]=>[2,6,7,3,5,1,4,8]
[5,4,3,8,6,1,2,7]=>[6,1,4,5,3,8,2,7]
[5,4,2,8,6,7,1,3]=>[7,4,1,5,2,8,6,3]
[4,8,6,3,2,7,1,5]=>[7,3,6,4,1,8,2,5]
[4,8,5,3,6,1,2,7]=>[6,1,5,4,8,3,2,7]
[4,8,6,3,5,2,1,7]=>[2,5,6,4,3,8,1,7]
[5,8,6,3,2,7,1,4]=>[7,3,6,1,5,8,2,4]
[5,7,6,3,2,4,8,1]=>[8,3,6,2,5,7,4,1]
[5,7,3,2,8,6,4,1]=>[4,3,6,8,5,7,2,1]
[5,4,3,7,1,8,6,2]=>[7,6,4,5,3,8,1,2]
[4,6,5,8,2,7,1,3]=>[7,8,1,4,6,5,2,3]
[4,5,1,8,3,7,6,2]=>[5,6,7,4,1,8,2,3]
[5,3,1,6,8,4,2,7]=>[3,5,4,8,2,6,1,7]
[4,5,1,6,8,2,7,3]=>[5,8,7,4,1,6,2,3]
[4,5,1,7,8,3,2,6]=>[5,3,8,4,1,2,7,6]
[6,2,1,3,8,4,7,5]=>[2,6,1,8,7,3,4,5]
[1,6,3,7,2,4,8,5]=>[1,7,6,2,8,3,4,5]
[3,5,8,4,6,1,2,7]=>[6,1,3,8,5,4,2,7]
[4,3,8,1,5,6,2,7]=>[8,6,4,3,1,5,2,7]
[4,7,2,1,6,3,5,8]=>[2,7,6,4,3,1,5,8]
[3,6,1,5,7,2,4,8]=>[6,7,3,2,1,5,4,8]
[4,3,7,1,6,2,5,8]=>[7,6,4,3,2,1,5,8]
[4,3,1,6,7,2,5,8]=>[3,4,7,2,1,6,5,8]
[6,3,1,5,7,2,4,8]=>[3,6,7,1,2,5,4,8]
[3,2,6,5,1,4,7,8]=>[5,3,2,1,6,4,7,8]
[4,3,6,2,1,5,7,8]=>[2,6,4,3,1,5,7,8]
[6,1,5,8,4,2,3,7]=>[6,4,2,8,1,5,3,7]
[2,5,1,4,8,6,7,3]=>[5,2,7,1,4,8,6,3]
[2,5,4,1,3,7,6,8]=>[4,2,1,5,3,7,6,8]
[5,2,4,1,3,7,6,8]=>[4,5,1,2,3,7,6,8]
[5,2,1,4,8,6,7,3]=>[2,5,7,1,4,8,6,3]
[5,2,1,8,4,6,3,7]=>[2,5,6,8,1,4,3,7]
[5,2,1,3,7,4,6,8]=>[2,5,1,7,3,4,6,8]
[8,4,1,2,6,5,7,3]=>[4,1,8,7,6,3,5,2]
[4,5,2,1,3,7,6,8]=>[2,5,1,4,3,7,6,8]
[4,7,8,1,5,2,3,6]=>[8,5,2,4,1,3,7,6]
[5,2,8,1,6,4,3,7]=>[8,5,4,6,2,1,3,7]
[5,2,3,1,4,7,6,8]=>[3,5,2,1,4,7,6,8]
[5,4,2,3,1,7,6,8]=>[3,4,2,5,1,7,6,8]
[5,4,2,1,3,7,6,8]=>[2,4,1,5,3,7,6,8]
[5,3,1,7,4,2,6,8]=>[3,5,4,7,2,1,6,8]
[7,3,1,5,8,4,6,2]=>[3,7,6,8,2,4,5,1]
[8,4,3,1,5,7,6,2]=>[3,4,8,6,1,7,5,2]
[6,2,7,4,1,5,8,3]=>[4,7,6,8,2,3,5,1]
[7,2,4,6,1,3,8,5]=>[6,7,1,2,8,4,3,5]
[8,2,7,4,1,6,5,3]=>[4,7,8,5,6,2,3,1]
[2,1,5,4,8,6,3,7]=>[2,1,6,5,4,8,3,7]
[5,4,1,2,8,6,3,7]=>[4,1,5,6,3,8,2,7]
[5,2,8,4,3,6,1,7]=>[6,5,4,8,2,3,1,7]
[3,2,8,4,1,6,5,7]=>[4,3,2,8,6,1,5,7]
[3,7,5,4,6,1,8,2]=>[6,8,3,5,7,4,1,2]
[3,7,6,4,1,5,8,2]=>[4,6,3,7,1,8,5,2]
[3,7,6,4,8,1,5,2]=>[8,5,3,6,1,7,4,2]
[8,2,7,6,3,4,1,5]=>[4,8,6,3,1,7,2,5]
[4,1,2,8,3,5,7,6]=>[4,1,8,2,3,7,5,6]
[6,5,2,4,1,7,3,8]=>[4,5,6,3,7,1,2,8]
[7,1,2,4,8,6,3,5]=>[7,1,6,2,3,8,4,5]
[7,1,8,5,4,6,2,3]=>[7,6,2,5,8,4,1,3]
[6,3,5,4,1,2,7,8]=>[4,1,5,6,2,3,7,8]
[7,1,6,5,4,2,8,3]=>[7,4,5,6,8,1,2,3]
[3,6,1,4,8,2,5,7]=>[6,8,3,1,2,4,5,7]
[7,2,6,5,1,4,3,8]=>[5,6,4,2,7,1,3,8]
[7,1,8,4,2,3,6,5]=>[7,4,2,8,6,3,1,5]
[2,1,5,4,7,3,6,8]=>[2,1,7,5,4,3,6,8]
[8,6,3,1,5,4,7,2]=>[3,6,8,5,1,7,4,2]
[6,2,1,8,3,4,5,7]=>[2,6,8,3,4,1,5,7]
[2,7,6,4,5,1,8,3]=>[5,2,8,6,4,7,1,3]
[1,7,5,6,4,3,8,2]=>[1,8,4,6,7,5,3,2]
[7,1,5,2,8,4,3,6]=>[7,5,4,8,1,3,2,6]
[7,3,4,6,2,5,1,8]=>[5,6,7,3,2,4,1,8]
[5,7,2,3,6,4,1,8]=>[4,6,1,7,5,3,2,8]
[4,6,8,1,7,3,5,2]=>[8,5,7,4,3,6,1,2]
[6,8,2,7,4,1,3,5]=>[4,7,2,8,3,6,1,5]
[8,1,4,5,7,2,6,3]=>[8,7,6,1,4,2,5,3]
[6,8,3,7,1,4,5,2]=>[7,5,8,1,4,6,3,2]
[3,6,8,1,5,7,4,2]=>[8,4,3,7,1,6,5,2]
[3,8,2,6,4,1,5,7]=>[4,6,3,8,2,1,5,7]
[3,8,1,5,7,4,2,6]=>[8,4,3,7,1,2,5,6]
[8,3,7,1,4,5,2,6]=>[7,5,8,1,4,2,3,6]
[8,2,7,1,4,5,3,6]=>[7,8,5,1,4,3,2,6]
[8,1,5,7,2,6,3,4]=>[8,7,6,3,1,2,5,4]
[2,8,3,1,6,7,4,5]=>[3,2,8,7,4,1,6,5]
[4,5,6,8,2,1,7,3]=>[2,8,7,4,5,6,1,3]
[4,5,6,8,1,3,7,2]=>[8,7,1,4,5,6,3,2]
[4,5,8,3,2,1,7,6]=>[2,3,8,4,5,7,1,6]
[4,5,1,3,2,6,7,8]=>[5,3,1,4,2,6,7,8]
[4,7,3,2,1,6,5,8]=>[2,3,7,4,6,1,5,8]
[4,7,8,3,5,1,6,2]=>[5,6,8,4,3,1,7,2]
[4,7,1,3,5,6,2,8]=>[7,6,1,4,3,5,2,8]
[4,8,3,2,1,6,7,5]=>[2,3,8,4,7,1,6,5]
[5,2,8,1,4,6,7,3]=>[8,5,7,1,2,4,6,3]
[5,6,3,7,8,1,4,2]=>[8,4,6,1,5,3,7,2]
[5,7,1,4,3,6,2,8]=>[7,6,4,1,5,3,2,8]
[6,2,3,7,1,5,4,8]=>[7,6,2,5,1,3,4,8]
[6,2,8,1,5,4,7,3]=>[8,6,7,5,1,2,4,3]
[6,1,3,4,5,2,7,8]=>[6,5,1,3,4,2,7,8]
[7,1,3,4,5,6,2,8]=>[7,6,1,3,4,5,2,8]
[6,4,2,5,3,7,8,1]=>[8,4,6,5,3,2,7,1]
[7,2,5,1,3,6,4,8]=>[5,7,1,6,2,3,4,8]
[7,2,5,1,3,8,6,4]=>[5,7,1,6,2,8,3,4]
[3,6,2,1,8,7,4,5]=>[2,6,3,7,4,1,8,5]
[1,6,8,5,7,2,4,3]=>[1,7,4,2,8,6,5,3]
[5,1,4,7,3,6,8,2]=>[5,8,7,1,4,3,6,2]
[6,5,2,7,8,4,3,1]=>[3,4,8,5,6,2,7,1]
[7,5,3,6,4,2,1,8]=>[2,4,6,5,7,1,3,8]
[7,8,4,6,2,5,3,1]=>[3,5,6,8,1,4,7,2]
[2,3,6,5,8,4,7,1]=>[7,2,3,8,6,5,4,1]
[7,3,6,5,1,4,2,8]=>[5,4,6,3,7,1,2,8]
[7,2,6,5,4,1,3,8]=>[4,5,1,6,7,2,3,8]
[1,6,8,7,5,4,2,3]=>[1,4,2,5,7,6,8,3]
[1,3,6,7,5,2,4,8]=>[1,5,3,2,7,6,4,8]
[1,5,2,6,8,7,3,4]=>[1,5,7,3,2,6,8,4]
[6,8,4,1,3,2,7,5]=>[4,3,1,8,7,6,2,5]
[6,1,5,2,4,3,7,8]=>[6,5,4,2,1,3,7,8]
[5,3,4,7,2,1,6,8]=>[2,7,5,3,4,1,6,8]
[6,5,8,1,4,7,2,3]=>[8,7,2,1,6,5,4,3]
[8,6,5,3,4,1,7,2]=>[4,7,5,3,6,8,1,2]
[8,3,6,5,4,1,7,2]=>[4,5,6,7,8,2,3,1]
[6,7,3,5,4,1,8,2]=>[4,5,8,7,1,6,2,3]
[5,4,7,8,6,1,2,3]=>[6,1,2,5,4,8,7,3]
[7,1,2,4,5,3,6,8]=>[7,1,5,2,4,3,6,8]
[7,2,4,5,8,1,3,6]=>[8,7,1,2,4,3,5,6]
[4,7,3,1,2,8,6,5]=>[3,1,7,4,6,8,2,5]
[4,8,5,7,1,2,3,6]=>[7,1,2,4,8,3,5,6]
[6,2,5,8,1,3,7,4]=>[8,6,1,7,2,5,3,4]
[2,7,5,1,4,6,8,3]=>[5,2,7,3,8,4,6,1]
[5,8,6,4,3,1,2,7]=>[3,1,4,6,5,8,2,7]
[6,2,5,1,7,8,3,4]=>[5,6,8,3,2,1,7,4]
[6,7,4,3,1,2,8,5]=>[3,1,4,7,8,6,2,5]
[4,2,3,7,6,1,8,5]=>[6,4,2,3,7,8,5,1]
[4,2,6,3,1,5,7,8]=>[3,6,4,1,2,5,7,8]
[7,5,2,3,4,1,8,6]=>[4,5,2,3,7,8,1,6]
[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]
[8,2,7,1,3,5,6,4]=>[7,8,1,6,3,5,2,4]
[5,8,2,3,1,4,7,6]=>[3,8,2,1,5,7,4,6]
[5,7,2,1,3,4,6,8]=>[2,7,1,3,5,4,6,8]
[1,2,8,7,3,5,6,4]=>[1,2,7,6,3,5,8,4]
[1,3,8,5,2,6,4,7]=>[1,5,3,8,6,4,2,7]
[7,1,6,4,3,2,5,8]=>[7,3,4,6,2,1,5,8]
[8,4,1,6,3,2,7,5]=>[4,3,8,6,7,2,1,5]
[4,6,3,2,5,8,7,1]=>[7,3,6,4,2,5,8,1]
[1,4,6,3,2,5,7,8]=>[1,3,6,4,2,5,7,8]
[7,1,6,4,3,2,8,5]=>[7,3,4,6,8,1,2,5]
[4,6,3,2,7,5,8,1]=>[8,3,6,4,7,2,5,1]
[5,8,4,3,2,6,1,7]=>[6,3,4,8,5,2,1,7]
[1,3,6,5,2,4,8,7]=>[1,5,3,2,6,4,8,7]
[4,6,3,2,7,1,5,8]=>[7,3,6,4,1,2,5,8]
[1,5,7,4,8,6,2,3]=>[1,6,2,8,5,7,3,4]
[6,1,5,7,3,8,2,4]=>[6,8,7,2,1,5,3,4]
[1,6,5,4,7,8,2,3]=>[1,8,2,5,6,4,7,3]
[7,1,8,3,2,5,6,4]=>[7,3,8,6,2,5,1,4]
[7,6,2,3,1,8,5,4]=>[3,6,2,5,7,8,4,1]
[2,3,5,1,7,8,6,4]=>[5,2,3,6,1,8,7,4]
[2,7,3,4,1,6,8,5]=>[4,2,7,3,8,1,6,5]
[5,3,1,2,7,8,6,4]=>[3,1,5,6,2,8,7,4]
[1,2,7,8,6,4,3,5]=>[1,2,4,6,3,8,7,5]
[4,7,8,6,2,1,3,5]=>[2,6,1,4,3,8,7,5]
[8,6,7,1,5,4,2,3]=>[7,4,2,5,1,8,6,3]
[3,5,1,7,8,6,2,4]=>[5,6,3,2,1,8,7,4]
[5,2,4,1,7,6,8,3]=>[4,5,8,2,1,7,6,3]
[3,1,8,6,7,4,2,5]=>[3,4,1,7,2,8,6,5]
[8,5,7,6,2,4,1,3]=>[4,6,1,2,7,8,3,5]
[1,7,6,8,5,2,3,4]=>[1,5,2,3,8,7,6,4]
[8,3,5,6,4,7,1,2]=>[7,1,8,6,3,5,4,2]
[8,4,1,3,5,7,6,2]=>[4,8,2,6,3,7,5,1]
[8,4,1,5,6,3,7,2]=>[4,8,7,6,2,5,1,3]
[5,7,1,3,4,8,6,2]=>[7,6,1,3,5,8,4,2]
[8,5,6,1,3,7,2,4]=>[6,7,1,2,8,5,3,4]
[5,1,3,4,8,7,6,2]=>[5,6,1,3,4,7,8,2]
[5,4,3,8,1,7,2,6]=>[8,7,4,5,3,2,1,6]
[7,2,4,6,5,1,8,3]=>[5,6,7,3,8,4,2,1]
[4,5,7,6,2,1,8,3]=>[2,6,7,4,5,8,3,1]
[2,5,7,6,1,8,4,3]=>[6,2,4,7,5,8,3,1]
[7,3,1,5,6,8,4,2]=>[3,7,4,8,2,5,6,1]
[4,8,7,2,3,1,6,5]=>[3,7,2,4,6,1,8,5]
[5,6,8,1,2,4,3,7]=>[8,1,4,2,5,6,3,7]
[8,1,2,4,3,7,5,6]=>[8,1,4,2,7,5,3,6]
[3,8,4,7,6,1,2,5]=>[6,1,3,7,4,8,2,5]
[1,6,8,5,3,7,2,4]=>[1,7,5,2,8,6,3,4]
[5,6,2,8,3,1,4,7]=>[3,8,6,2,5,1,4,7]
[2,4,5,7,8,3,1,6]=>[3,2,8,4,5,1,7,6]
[3,5,4,7,1,8,2,6]=>[7,8,3,5,4,2,1,6]
[3,4,6,5,8,1,2,7]=>[8,1,3,4,6,5,2,7]
[3,2,6,7,5,1,8,4]=>[5,3,2,7,8,6,4,1]
[3,4,6,7,5,1,2,8]=>[5,1,3,4,7,6,2,8]
[2,5,6,7,3,4,1,8]=>[4,2,7,3,5,6,1,8]
[4,3,5,7,6,1,2,8]=>[6,1,4,3,5,7,2,8]
[4,3,5,7,1,8,2,6]=>[7,8,4,3,5,2,1,6]
[4,3,2,5,8,7,1,6]=>[7,3,4,2,5,1,8,6]
[2,5,4,3,8,7,1,6]=>[7,2,4,5,3,1,8,6]
[5,2,6,4,1,8,3,7]=>[4,6,5,8,3,2,1,7]
[5,2,6,4,7,1,3,8]=>[7,5,1,6,2,4,3,8]
[4,3,2,7,1,8,6,5]=>[7,3,4,2,6,8,1,5]
[4,6,2,5,7,1,3,8]=>[7,6,1,4,2,5,3,8]
[2,5,6,7,3,1,8,4]=>[3,2,7,8,5,6,1,4]
[4,5,7,1,3,6,2,8]=>[7,6,1,4,5,3,2,8]
[5,7,8,3,6,2,4,1]=>[4,6,8,2,5,3,7,1]
[7,2,3,1,6,8,4,5]=>[3,7,2,8,4,1,6,5]
[5,7,8,6,2,1,3,4]=>[2,6,1,3,5,8,7,4]
[4,1,8,2,5,6,3,7]=>[4,8,6,1,2,5,3,7]
[6,2,1,3,7,8,5,4]=>[2,6,1,5,8,3,7,4]
[6,2,3,1,5,7,4,8]=>[3,6,2,7,1,5,4,8]
[5,7,8,1,6,2,3,4]=>[8,6,2,3,5,1,7,4]
[1,5,4,3,8,2,6,7]=>[1,8,4,5,3,2,6,7]
[1,5,4,3,7,2,6,8]=>[1,7,4,5,3,2,6,8]
[1,5,3,8,7,2,6,4]=>[1,7,5,6,3,2,8,4]
[1,6,4,2,7,3,8,5]=>[1,4,6,7,8,3,2,5]
[1,4,2,5,8,6,3,7]=>[1,4,6,2,5,8,3,7]
[1,6,2,7,5,4,3,8]=>[1,6,4,5,7,2,3,8]
[6,4,8,7,1,5,3,2]=>[7,3,5,6,1,4,8,2]
[4,8,2,1,5,7,3,6]=>[2,8,7,4,1,3,5,6]
[5,2,7,1,6,3,4,8]=>[7,5,6,3,2,1,4,8]
[4,8,2,5,1,6,3,7]=>[5,8,6,4,2,1,3,7]
[5,8,1,2,4,6,3,7]=>[8,1,6,2,5,4,3,7]
[5,1,7,3,6,4,2,8]=>[5,4,6,7,1,2,3,8]
[3,2,7,5,6,1,4,8]=>[6,3,2,1,7,5,4,8]
[3,2,7,1,6,4,5,8]=>[7,3,2,6,4,1,5,8]
[6,3,1,7,5,4,2,8]=>[3,6,4,5,7,2,1,8]
[6,2,8,7,3,4,5,1]=>[5,6,7,3,4,2,8,1]
[7,3,4,8,5,6,2,1]=>[2,6,7,3,8,5,4,1]
[7,3,6,8,4,5,2,1]=>[2,5,7,8,4,3,6,1]
[5,6,2,8,3,1,7,4]=>[3,8,6,7,5,1,2,4]
[6,1,3,4,8,5,2,7]=>[6,5,1,3,8,4,2,7]
[5,7,3,2,4,6,8,1]=>[8,3,7,2,5,4,6,1]
[5,3,1,6,8,2,7,4]=>[3,5,8,7,2,6,1,4]
[1,4,7,5,6,2,8,3]=>[1,6,8,4,7,5,2,3]
[4,5,7,8,2,3,6,1]=>[6,8,2,4,5,3,7,1]
[3,4,5,7,8,2,1,6]=>[2,8,3,4,5,1,7,6]
[1,3,4,7,2,6,8,5]=>[1,7,3,4,8,2,6,5]
[1,6,5,2,8,4,3,7]=>[1,5,4,6,8,3,2,7]
[6,4,1,2,5,8,7,3]=>[4,1,6,7,3,5,8,2]
[7,6,1,2,8,4,5,3]=>[6,1,5,7,2,8,4,3]
[3,7,2,8,5,1,6,4]=>[5,8,3,7,6,2,4,1]
[3,6,5,7,1,2,8,4]=>[7,1,3,8,6,5,2,4]
[1,8,6,2,5,4,3,7]=>[1,6,4,5,2,8,3,7]
[1,3,6,8,4,2,7,5]=>[1,4,3,8,7,6,2,5]
[1,6,5,8,2,7,3,4]=>[1,8,7,3,6,5,2,4]
[1,7,4,8,3,5,6,2]=>[1,6,8,7,3,5,4,2]
[7,5,2,8,3,6,1,4]=>[6,5,7,1,8,2,3,4]
[4,6,2,3,8,1,7,5]=>[8,6,2,4,7,3,1,5]
[6,2,8,4,7,3,1,5]=>[3,7,6,8,2,1,4,5]
[1,6,7,2,5,3,8,4]=>[1,7,5,8,2,6,3,4]
[1,7,5,6,8,3,2,4]=>[1,3,8,2,7,5,6,4]
[6,4,7,5,1,8,3,2]=>[5,3,7,8,6,1,2,4]
[5,2,4,8,3,7,6,1]=>[6,5,7,2,4,8,1,3]
[7,6,8,3,5,4,1,2]=>[4,1,5,8,2,7,6,3]
[5,3,1,4,8,6,2,7]=>[3,5,6,2,4,8,1,7]
[8,3,4,1,5,6,2,7]=>[4,6,8,3,1,5,2,7]
[1,3,5,8,4,6,2,7]=>[1,6,3,8,5,4,2,7]
[5,2,4,8,3,1,6,7]=>[3,8,5,1,4,2,6,7]
[8,7,3,5,4,1,6,2]=>[4,5,6,7,1,2,8,3]
[8,4,7,5,3,1,6,2]=>[3,5,7,6,8,1,2,4]
[6,3,8,4,1,7,5,2]=>[4,8,5,7,6,3,2,1]
[7,4,5,1,8,6,2,3]=>[5,6,2,8,3,7,1,4]
[1,5,6,2,8,7,3,4]=>[1,6,7,3,5,2,8,4]
[6,8,3,1,2,7,5,4]=>[3,1,8,5,7,6,2,4]
[2,7,8,3,6,4,1,5]=>[4,2,6,8,3,1,7,5]
[3,8,4,7,6,2,1,5]=>[2,6,3,7,4,8,1,5]
[8,5,3,7,6,2,1,4]=>[2,6,5,3,7,8,1,4]
[8,1,5,7,6,3,2,4]=>[8,3,6,2,1,7,5,4]
[1,8,6,7,5,3,2,4]=>[1,3,5,2,7,8,6,4]
[5,2,8,6,1,7,4,3]=>[6,5,4,8,2,7,3,1]
[5,8,6,1,2,7,3,4]=>[6,1,8,2,5,7,3,4]
[8,5,3,1,7,6,2,4]=>[3,5,8,2,6,7,1,4]
[7,3,2,6,1,8,4,5]=>[6,3,7,8,4,2,1,5]
[6,2,7,1,3,8,4,5]=>[7,6,1,8,4,2,3,5]
[7,4,8,3,1,6,5,2]=>[3,8,5,6,7,2,1,4]
[5,8,4,2,7,6,3,1]=>[3,6,4,7,5,8,2,1]
[5,8,4,2,7,6,1,3]=>[6,4,2,7,5,8,1,3]
[4,7,8,1,5,2,6,3]=>[8,5,6,4,1,2,7,3]
[5,4,8,2,3,7,1,6]=>[7,8,2,5,4,1,3,6]
[1,3,4,7,8,6,2,5]=>[1,6,3,4,2,8,7,5]
[2,6,1,5,8,3,7,4]=>[6,2,8,7,1,5,3,4]
[1,2,4,7,8,3,6,5]=>[1,2,8,4,6,3,7,5]
[1,3,7,8,2,4,6,5]=>[1,8,3,2,6,4,7,5]
[2,7,8,1,3,4,6,5]=>[8,2,1,3,6,4,7,5]
[8,1,6,3,5,4,2,7]=>[8,4,5,6,2,1,3,7]
[8,1,2,5,3,6,4,7]=>[8,1,5,6,2,3,4,7]
[7,2,5,3,6,8,4,1]=>[4,8,7,5,3,1,6,2]
[2,7,4,6,3,1,5,8]=>[3,2,6,7,1,4,5,8]
[7,2,4,8,6,5,3,1]=>[3,5,6,1,8,7,4,2]
[8,1,5,3,7,6,2,4]=>[8,6,5,2,1,7,3,4]
[2,6,8,1,3,4,7,5]=>[8,2,1,3,7,6,4,5]
[2,3,5,7,6,1,4,8]=>[6,2,3,1,5,7,4,8]
[3,6,8,2,5,4,1,7]=>[4,5,3,8,1,6,2,7]
[5,2,3,6,4,7,8,1]=>[8,5,2,6,3,4,7,1]
[6,4,8,7,3,5,1,2]=>[5,1,7,6,3,4,8,2]
[6,1,4,2,3,5,7,8]=>[6,4,2,1,3,5,7,8]
[5,2,6,1,3,8,4,7]=>[6,5,1,8,2,3,4,7]
[4,3,7,6,2,1,5,8]=>[2,6,4,3,1,7,5,8]
[5,4,6,1,2,8,3,7]=>[6,1,8,5,4,2,3,7]
[4,5,2,7,8,3,6,1]=>[6,5,8,4,2,3,7,1]
[2,4,5,3,7,1,6,8]=>[7,2,5,4,3,1,6,8]
[3,2,4,5,7,1,6,8]=>[7,3,2,4,5,1,6,8]
[6,5,1,8,3,7,4,2]=>[5,4,6,7,8,3,1,2]
[7,1,4,3,8,6,5,2]=>[7,5,4,1,6,8,3,2]
[8,5,4,1,7,3,2,6]=>[4,3,5,8,7,2,1,6]
[4,5,3,8,1,7,6,2]=>[8,6,5,4,3,7,1,2]
[4,7,6,3,2,8,5,1]=>[5,3,8,4,6,7,1,2]
[5,7,6,3,8,2,4,1]=>[4,8,6,2,5,7,3,1]
[6,8,4,7,1,2,5,3]=>[7,1,5,8,2,6,4,3]
[1,3,7,6,8,4,5,2]=>[1,5,3,8,4,7,6,2]
[6,1,5,7,2,8,3,4]=>[6,7,8,3,1,5,2,4]
[1,8,7,2,5,6,3,4]=>[1,7,6,3,2,5,8,4]
[1,8,2,6,7,4,3,5]=>[1,8,4,7,3,2,6,5]
[2,5,4,8,7,6,1,3]=>[6,2,1,5,4,7,8,3]
[1,8,7,6,3,5,4,2]=>[1,4,5,6,2,7,8,3]
[1,8,5,7,6,4,3,2]=>[1,3,4,6,7,8,2,5]
[7,2,4,1,8,5,3,6]=>[4,7,5,2,8,3,1,6]
[1,4,3,5,8,6,2,7]=>[1,6,4,3,5,8,2,7]
[4,2,8,5,6,1,3,7]=>[6,4,1,2,8,5,3,7]
[7,3,2,1,4,6,8,5]=>[2,3,7,1,8,4,6,5]
[1,4,3,5,7,2,8,6]=>[1,7,4,3,5,8,2,6]
[3,7,2,1,4,6,8,5]=>[2,7,3,1,8,4,6,5]
[4,7,2,6,1,8,3,5]=>[6,7,8,4,3,2,1,5]
[8,7,3,5,2,1,6,4]=>[2,5,7,6,3,1,8,4]
[6,8,5,3,2,1,7,4]=>[2,3,5,8,7,6,4,1]
[6,2,4,1,7,8,3,5]=>[4,6,8,2,3,1,7,5]
[6,7,3,2,1,5,8,4]=>[2,3,7,8,1,6,5,4]
[7,5,3,2,1,6,8,4]=>[2,3,5,7,8,4,6,1]
[8,6,7,3,2,1,5,4]=>[2,3,7,5,1,8,6,4]
[1,4,8,3,2,6,7,5]=>[1,3,8,4,7,2,6,5]
[3,1,6,4,8,5,7,2]=>[3,7,1,6,8,4,5,2]
[8,2,6,1,3,7,4,5]=>[6,8,1,7,4,2,3,5]
[8,7,1,3,4,6,5,2]=>[7,5,1,3,6,4,8,2]
[1,7,5,3,6,2,4,8]=>[1,6,5,2,7,3,4,8]
[7,4,6,1,3,5,8,2]=>[6,8,1,7,3,4,5,2]
[8,2,1,5,4,7,3,6]=>[2,8,7,5,1,3,4,6]
[6,8,1,3,4,2,5,7]=>[8,4,1,3,2,6,5,7]
[6,1,3,5,2,4,8,7]=>[6,5,1,2,3,4,8,7]
[6,1,3,5,8,7,2,4]=>[6,7,1,2,3,5,8,4]
[4,2,5,7,8,1,3,6]=>[8,4,1,2,5,3,7,6]
[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]
[2,8,4,6,3,5,7,1]=>[7,2,6,8,3,4,5,1]
[4,8,1,3,6,2,5,7]=>[8,6,1,4,2,3,5,7]
[3,6,8,1,4,7,2,5]=>[8,7,3,1,2,6,4,5]
[3,6,1,4,7,8,2,5]=>[6,8,3,1,2,4,7,5]
[4,1,3,6,2,5,7,8]=>[4,6,1,3,2,5,7,8]
[4,6,8,3,1,2,5,7]=>[3,1,8,4,2,6,5,7]
[3,8,4,6,1,2,5,7]=>[6,1,3,8,2,4,5,7]
[2,5,3,6,8,1,4,7]=>[8,2,5,1,3,6,4,7]
[2,5,7,1,3,6,4,8]=>[7,2,1,6,5,3,4,8]
[2,8,3,5,7,4,6,1]=>[6,2,8,7,3,4,5,1]
[1,4,7,2,5,3,6,8]=>[1,7,5,4,2,3,6,8]
[4,5,3,1,2,6,8,7]=>[3,1,5,4,2,6,8,7]
[4,5,1,3,8,2,6,7]=>[5,8,1,4,3,2,6,7]
[4,1,5,3,2,7,6,8]=>[4,3,5,1,2,7,6,8]
[7,3,5,1,4,2,6,8]=>[5,4,7,1,3,2,6,8]
[6,2,1,7,4,3,8,5]=>[2,6,4,7,8,1,3,5]
[2,4,3,6,7,1,5,8]=>[7,2,4,3,1,6,5,8]
[7,3,5,2,1,6,4,8]=>[2,5,7,6,3,1,4,8]
[4,6,5,2,1,3,7,8]=>[2,5,1,4,6,3,7,8]
[2,5,6,1,4,3,7,8]=>[6,2,4,1,5,3,7,8]
[6,1,5,3,7,2,4,8]=>[6,7,5,2,1,3,4,8]
[3,6,5,4,1,7,2,8]=>[4,5,3,6,7,1,2,8]
[6,8,7,5,4,2,1,3]=>[2,4,1,5,7,6,8,3]
[1,6,8,7,3,2,4,5]=>[1,3,7,2,4,6,8,5]
[8,7,5,4,6,1,3,2]=>[6,3,1,5,7,4,8,2]
[1,7,8,2,4,6,3,5]=>[1,8,6,2,3,4,7,5]
[7,5,4,8,1,3,6,2]=>[8,6,1,5,7,3,4,2]
[5,6,1,8,4,3,7,2]=>[6,7,4,8,5,1,3,2]
[1,8,2,6,7,5,4,3]=>[1,8,4,5,7,2,6,3]
[2,7,5,1,6,8,3,4]=>[5,2,7,1,8,3,6,4]
[4,7,3,6,2,8,5,1]=>[5,8,6,4,7,1,3,2]
[8,5,4,2,7,3,6,1]=>[6,4,5,8,7,3,2,1]
[8,4,3,7,6,2,5,1]=>[5,6,4,7,3,8,2,1]
[5,1,8,3,4,7,6,2]=>[5,6,7,2,1,8,4,3]
[4,1,8,3,5,7,6,2]=>[4,6,7,1,2,8,5,3]
[3,8,4,7,6,2,5,1]=>[5,6,3,7,4,8,2,1]
[1,8,2,6,7,5,3,4]=>[1,8,5,3,7,2,6,4]
[7,6,1,4,8,3,5,2]=>[6,5,7,3,1,8,4,2]
[7,4,3,6,2,8,5,1]=>[5,8,4,6,7,1,3,2]
[8,5,2,7,4,3,6,1]=>[6,5,4,8,7,2,3,1]
[8,5,3,6,4,2,7,1]=>[7,4,6,5,8,2,3,1]
[7,4,2,8,5,3,6,1]=>[6,4,7,5,8,2,3,1]
[7,3,2,1,6,5,4,8]=>[2,3,7,5,6,1,4,8]
[7,2,6,1,4,3,5,8]=>[6,7,4,1,3,2,5,8]
[6,2,1,8,5,3,4,7]=>[2,6,5,3,8,1,4,7]
[3,8,6,1,2,4,5,7]=>[6,1,3,2,4,8,5,7]
[2,8,1,6,5,3,4,7]=>[8,2,5,3,6,1,4,7]
[5,3,2,1,8,7,4,6]=>[2,3,5,7,1,4,8,6]
[1,8,5,3,2,7,4,6]=>[1,3,5,8,7,2,4,6]
[1,8,4,7,2,3,5,6]=>[1,7,2,8,3,5,4,6]
[3,1,8,7,2,5,4,6]=>[3,7,1,5,2,4,8,6]
[3,8,1,6,2,5,4,7]=>[8,6,3,5,2,1,4,7]
[3,8,1,4,2,7,6,5]=>[8,4,3,1,6,7,2,5]
[3,2,8,1,7,5,4,6]=>[8,3,2,5,7,4,1,6]
[7,1,5,6,2,3,4,8]=>[7,6,2,3,1,5,4,8]
[6,5,1,7,2,3,4,8]=>[5,6,1,3,7,2,4,8]
[1,6,8,2,7,3,4,5]=>[1,8,7,3,4,6,2,5]
[6,5,1,2,4,7,3,8]=>[5,1,6,3,7,4,2,8]
[7,5,8,2,6,4,3,1]=>[3,4,6,8,7,2,5,1]
[8,5,2,1,4,7,3,6]=>[2,5,8,3,7,1,4,6]
[8,2,5,7,6,3,4,1]=>[4,8,6,3,2,7,5,1]
[6,1,5,7,2,3,4,8]=>[6,7,2,3,1,5,4,8]
[1,6,8,7,3,4,2,5]=>[1,4,7,3,2,6,8,5]
[2,1,5,7,6,3,4,8]=>[2,1,6,3,5,7,4,8]
[2,8,6,5,7,3,4,1]=>[4,2,7,3,6,8,5,1]
[2,5,6,3,7,1,4,8]=>[7,2,6,1,5,3,4,8]
[4,1,3,6,7,8,5,2]=>[4,5,1,3,8,6,7,2]
[4,2,3,6,7,8,5,1]=>[5,4,2,3,8,6,7,1]
[1,6,5,7,3,2,4,8]=>[1,3,7,2,6,5,4,8]
[7,4,1,5,6,8,3,2]=>[4,3,7,8,2,5,6,1]
[7,6,4,1,2,8,3,5]=>[4,1,6,7,3,8,2,5]
[7,6,4,5,2,8,3,1]=>[3,8,5,6,4,7,1,2]
[8,3,6,5,7,2,4,1]=>[4,7,8,2,6,3,5,1]
[4,1,2,6,7,8,5,3]=>[4,1,5,2,8,6,7,3]
[2,3,6,5,7,1,4,8]=>[7,2,3,1,6,5,4,8]
[7,6,2,1,4,8,5,3]=>[2,6,5,3,7,8,4,1]
[3,6,2,4,5,7,8,1]=>[8,6,3,2,4,5,7,1]
[3,7,8,2,1,4,5,6]=>[2,8,3,1,4,5,7,6]
[6,3,7,1,8,2,4,5]=>[7,8,6,2,4,3,1,5]
[8,4,7,1,3,5,6,2]=>[7,6,1,8,3,5,4,2]
[4,8,3,5,6,2,1,7]=>[2,6,8,4,3,5,1,7]
[4,8,3,5,6,2,7,1]=>[7,6,8,4,3,5,2,1]
[1,8,6,7,2,4,5,3]=>[1,7,5,2,4,8,6,3]
[5,7,8,1,4,3,6,2]=>[8,6,4,1,5,3,7,2]
[3,7,8,1,5,2,6,4]=>[8,5,3,6,1,2,7,4]
[1,7,8,6,2,4,5,3]=>[1,6,5,2,4,8,7,3]
[7,6,8,5,1,3,4,2]=>[5,4,1,3,8,7,6,2]
[3,6,7,1,4,5,8,2]=>[7,8,3,1,4,6,5,2]
[3,6,8,1,4,5,7,2]=>[8,7,3,1,4,6,5,2]
[1,8,5,6,3,4,7,2]=>[1,7,6,3,8,5,4,2]
[5,1,4,6,3,7,2,8]=>[5,7,6,1,4,3,2,8]
[1,4,6,5,2,3,7,8]=>[1,5,2,4,6,3,7,8]
[1,5,4,7,8,3,6,2]=>[1,6,8,5,4,3,7,2]
[2,5,4,7,8,3,6,1]=>[6,2,8,5,4,3,7,1]
[1,4,8,5,7,3,6,2]=>[1,6,7,4,8,3,5,2]
[5,2,4,7,8,3,6,1]=>[6,5,8,2,4,3,7,1]
[5,1,4,7,8,3,6,2]=>[5,6,8,1,4,3,7,2]
[3,8,6,1,2,7,5,4]=>[6,1,3,5,8,7,4,2]
[7,1,2,5,6,8,4,3]=>[7,1,4,8,2,5,6,3]
[4,8,1,5,6,2,3,7]=>[8,6,2,4,1,5,3,7]
[3,6,1,5,8,7,2,4]=>[6,7,3,2,1,5,8,4]
[4,1,8,5,3,7,2,6]=>[4,7,5,1,8,2,3,6]
[6,1,4,3,7,2,8,5]=>[6,7,4,1,8,3,2,5]
[5,6,4,1,7,3,8,2]=>[4,6,8,7,5,2,1,3]
[4,3,7,8,2,5,1,6]=>[5,8,4,3,2,1,7,6]
[7,1,4,6,2,8,5,3]=>[7,6,5,1,8,4,2,3]
[3,7,8,5,4,2,1,6]=>[2,4,3,5,8,1,7,6]
[7,1,4,5,8,6,3,2]=>[7,3,6,1,4,8,5,2]
[1,7,4,5,6,8,3,2]=>[1,3,8,7,4,5,6,2]
[7,2,4,5,6,8,3,1]=>[3,8,7,1,4,5,6,2]
[2,7,4,5,6,8,3,1]=>[3,2,8,7,4,5,6,1]
[5,7,4,3,1,6,8,2]=>[3,4,7,8,5,1,6,2]
[5,4,1,6,3,8,2,7]=>[4,5,8,6,2,1,3,7]
[2,4,7,8,3,1,6,5]=>[3,2,8,4,6,1,7,5]
[5,4,3,6,8,1,7,2]=>[8,7,4,5,3,6,1,2]
[3,4,6,2,5,8,1,7]=>[8,6,3,4,2,5,1,7]
[3,7,4,5,8,1,6,2]=>[8,6,3,7,4,1,5,2]
[1,4,3,5,6,8,2,7]=>[1,8,4,3,5,6,2,7]
[1,4,6,5,8,2,7,3]=>[1,8,7,4,6,5,2,3]
[4,6,1,7,3,2,8,5]=>[6,3,7,4,8,1,2,5]
[1,7,3,6,4,2,8,5]=>[1,4,6,7,8,2,3,5]
[4,7,3,5,1,2,8,6]=>[5,1,7,4,3,8,2,6]
[1,6,4,2,3,5,8,7]=>[1,4,2,6,3,5,8,7]
[4,8,3,5,2,1,6,7]=>[2,5,8,4,3,1,6,7]
[1,6,8,4,7,5,3,2]=>[1,3,5,7,8,6,2,4]
[8,7,3,1,5,2,6,4]=>[3,7,5,6,2,1,8,4]
[8,7,1,5,6,4,2,3]=>[7,4,2,6,1,5,8,3]
[8,7,3,6,1,4,5,2]=>[6,5,7,1,4,3,8,2]
[8,7,1,4,6,3,5,2]=>[7,5,6,1,3,4,8,2]
[8,3,7,1,5,6,4,2]=>[7,4,6,8,1,5,2,3]
[8,2,6,7,1,5,4,3]=>[7,8,4,5,1,2,6,3]
[6,8,2,1,3,7,5,4]=>[2,8,1,5,7,6,3,4]
[8,2,3,6,7,5,4,1]=>[4,5,2,7,8,3,6,1]
[8,7,3,6,2,4,5,1]=>[5,6,7,2,4,3,8,1]
[2,8,7,1,3,5,4,6]=>[7,2,1,5,3,4,8,6]
[4,7,1,6,8,2,3,5]=>[7,8,2,4,3,1,6,5]
[4,6,5,8,2,3,7,1]=>[7,8,2,4,6,5,3,1]
[7,1,8,2,4,5,3,6]=>[7,8,5,2,4,3,1,6]
[5,7,8,2,3,4,1,6]=>[4,8,2,3,5,1,7,6]
[5,2,3,8,7,1,4,6]=>[7,5,2,1,3,4,8,6]
[5,6,1,2,8,7,3,4]=>[6,1,7,3,5,2,8,4]
[6,5,7,2,3,8,1,4]=>[8,7,2,1,6,5,3,4]
[3,7,5,4,6,2,1,8]=>[2,6,3,5,7,4,1,8]
[1,4,7,5,3,6,8,2]=>[1,8,5,4,7,3,6,2]
[8,1,7,5,2,6,3,4]=>[8,5,7,2,6,3,1,4]
[8,7,1,6,2,4,3,5]=>[7,6,4,2,3,1,8,5]
[4,1,8,2,7,6,3,5]=>[4,8,6,1,3,7,2,5]
[3,8,5,1,7,6,2,4]=>[5,8,3,1,6,7,2,4]
[8,7,1,3,2,6,4,5]=>[7,3,1,6,4,2,8,5]
[3,8,5,7,6,2,1,4]=>[2,6,3,1,7,8,4,5]
[8,2,7,3,6,4,1,5]=>[4,6,8,7,2,1,3,5]
[2,7,6,4,8,3,1,5]=>[3,2,8,6,1,7,4,5]
[2,6,3,7,5,8,4,1]=>[4,2,8,6,7,1,5,3]
[7,5,1,2,3,8,4,6]=>[5,1,2,7,8,3,4,6]
[8,6,2,1,3,7,4,5]=>[2,6,1,8,3,7,4,5]
[2,8,3,5,6,1,7,4]=>[6,2,8,7,3,5,1,4]
[6,8,2,5,3,1,7,4]=>[3,5,8,7,1,6,2,4]
[5,1,2,4,7,3,6,8]=>[5,1,7,2,4,3,6,8]
[4,2,3,6,8,5,7,1]=>[7,4,2,3,8,6,5,1]
[6,1,3,5,2,4,7,8]=>[6,5,1,2,3,4,7,8]
[4,7,3,2,6,5,1,8]=>[5,3,6,4,7,1,2,8]
[4,3,7,8,2,1,6,5]=>[2,8,4,3,6,1,7,5]
[4,8,7,2,1,5,6,3]=>[2,7,6,4,1,5,8,3]
[7,3,8,2,5,1,6,4]=>[5,8,7,6,2,1,3,4]
[4,5,3,8,6,1,2,7]=>[6,1,5,4,3,8,2,7]
[6,3,5,8,4,1,2,7]=>[4,1,8,6,2,5,3,7]
[7,3,8,4,5,1,2,6]=>[5,1,7,8,4,2,3,6]
[4,8,7,5,1,2,6,3]=>[5,1,7,4,6,3,8,2]
[7,8,4,6,1,3,5,2]=>[6,5,1,8,3,4,7,2]
[4,8,7,5,1,3,6,2]=>[5,7,2,4,6,3,8,1]
[4,5,3,6,8,1,2,7]=>[8,1,5,4,3,6,2,7]
[7,8,6,2,1,4,3,5]=>[2,6,4,1,3,8,7,5]
[7,8,6,3,1,2,5,4]=>[3,1,6,5,2,8,7,4]
[7,2,5,4,3,1,6,8]=>[3,4,5,7,2,1,6,8]
[3,7,6,4,1,5,2,8]=>[4,6,3,5,2,7,1,8]
[8,6,3,1,2,7,5,4]=>[3,1,6,5,8,7,4,2]
[5,8,3,1,4,7,2,6]=>[3,8,7,2,5,1,4,6]
[7,1,8,5,2,6,4,3]=>[7,5,4,8,6,3,1,2]
[7,6,4,1,5,8,2,3]=>[4,6,2,7,1,8,5,3]
[3,1,2,5,8,7,6,4]=>[3,1,2,6,5,7,8,4]
[5,2,8,4,7,1,3,6]=>[7,5,1,8,2,3,4,6]
[7,3,1,2,8,6,5,4]=>[3,1,7,5,6,8,2,4]
[8,3,7,6,4,1,2,5]=>[4,1,6,7,2,8,3,5]
[5,1,6,4,8,3,2,7]=>[5,3,8,6,1,4,2,7]
[4,3,8,6,2,1,5,7]=>[2,6,4,3,1,8,5,7]
[4,6,8,5,2,3,1,7]=>[3,5,2,4,8,6,1,7]
[6,1,4,5,7,2,8,3]=>[6,7,8,1,4,5,2,3]
[8,7,1,3,2,6,5,4]=>[7,3,1,5,6,2,8,4]
[8,7,1,3,2,4,5,6]=>[7,3,1,2,4,5,8,6]
[4,1,3,6,5,7,2,8]=>[4,7,1,3,6,5,2,8]
[4,1,3,5,7,2,8,6]=>[4,7,1,3,5,8,2,6]
[5,1,8,2,4,6,3,7]=>[5,8,6,2,1,4,3,7]
[6,8,2,1,4,5,3,7]=>[2,8,5,1,4,6,3,7]
[4,2,7,3,6,8,5,1]=>[5,4,8,2,7,1,6,3]
[3,1,5,8,6,7,2,4]=>[3,7,1,2,5,8,6,4]
[6,8,2,1,4,5,7,3]=>[2,8,7,1,4,6,5,3]
[1,5,4,8,7,3,2,6]=>[1,3,7,5,4,2,8,6]
[5,2,4,6,7,3,1,8]=>[3,7,5,1,4,6,2,8]
[4,7,1,3,5,8,2,6]=>[7,8,1,4,3,2,5,6]
[4,3,1,2,6,5,7,8]=>[3,1,4,2,6,5,7,8]
[2,5,1,7,3,6,4,8]=>[5,2,7,6,1,3,4,8]
[2,7,5,1,4,3,8,6]=>[5,2,4,1,7,8,3,6]
[3,6,4,1,5,8,2,7]=>[4,6,3,8,2,5,1,7]
[7,2,4,8,3,5,6,1]=>[6,7,8,2,3,5,4,1]
[7,1,2,4,3,6,8,5]=>[7,1,4,2,8,3,6,5]
[7,3,6,1,4,5,8,2]=>[6,8,7,1,4,3,5,2]
[7,1,4,5,8,3,6,2]=>[7,6,8,1,4,3,5,2]
[7,3,6,5,1,2,4,8]=>[5,1,6,3,7,2,4,8]
[7,5,8,1,2,4,3,6]=>[8,1,4,2,7,3,5,6]
[7,1,2,4,3,6,5,8]=>[7,1,4,2,6,3,5,8]
[7,5,8,1,2,4,6,3]=>[8,1,6,2,7,4,5,3]
[3,5,8,1,4,2,6,7]=>[8,4,3,1,5,2,6,7]
[5,3,4,6,8,7,1,2]=>[7,1,5,3,4,6,8,2]
[3,4,8,5,1,2,6,7]=>[5,1,3,4,8,2,6,7]
[5,8,3,1,2,6,7,4]=>[3,1,8,7,5,2,6,4]
[5,7,1,6,3,4,8,2]=>[7,8,6,3,5,1,4,2]
[3,5,2,1,6,7,4,8]=>[2,5,3,7,1,6,4,8]
[6,1,5,2,8,7,4,3]=>[6,5,4,7,1,2,8,3]
[2,6,1,5,8,7,4,3]=>[6,2,4,7,1,5,8,3]
[7,4,1,2,6,3,5,8]=>[4,1,7,6,2,3,5,8]
[6,2,5,1,4,3,7,8]=>[5,6,4,1,2,3,7,8]
[6,1,4,7,5,3,2,8]=>[6,3,5,1,7,4,2,8]
[4,5,2,1,7,3,6,8]=>[2,5,7,4,1,3,6,8]
[3,1,2,8,4,7,6,5]=>[3,1,2,8,6,7,4,5]
[5,4,6,7,1,3,2,8]=>[7,3,1,5,4,6,2,8]
[6,4,1,3,8,5,2,7]=>[4,6,2,5,8,3,1,7]
[7,1,4,3,8,5,2,6]=>[7,5,4,1,8,2,3,6]
[5,3,1,4,6,7,2,8]=>[3,5,7,2,4,6,1,8]
[6,5,1,3,4,7,2,8]=>[5,6,2,3,7,4,1,8]
[6,5,1,2,4,3,7,8]=>[5,1,4,2,6,3,7,8]
[4,5,1,8,6,3,2,7]=>[5,3,6,4,1,8,2,7]
[8,4,6,3,1,2,7,5]=>[3,1,6,8,7,4,2,5]
[3,8,6,4,1,5,7,2]=>[4,6,3,8,1,7,5,2]
[8,7,1,4,5,2,3,6]=>[7,5,2,1,4,3,8,6]
[3,8,6,4,5,1,7,2]=>[5,7,3,6,4,8,1,2]
[3,7,6,4,5,1,2,8]=>[5,1,3,6,4,7,2,8]
[7,4,6,3,1,2,8,5]=>[3,1,6,7,8,4,2,5]
[4,6,2,5,7,8,1,3]=>[8,6,1,4,2,5,7,3]
[4,6,3,5,7,1,2,8]=>[7,1,6,4,3,5,2,8]
[4,7,3,5,8,6,1,2]=>[6,1,8,4,2,7,5,3]
[4,8,3,5,7,1,6,2]=>[7,6,8,4,3,1,5,2]
[4,8,3,5,6,1,2,7]=>[6,1,8,4,3,5,2,7]
[4,7,2,5,6,8,1,3]=>[8,7,1,4,2,5,6,3]
[4,8,2,5,6,7,1,3]=>[7,8,1,4,2,5,6,3]
[1,4,7,2,6,5,8,3]=>[1,7,8,4,6,2,5,3]
[1,5,7,2,6,4,8,3]=>[1,7,8,6,5,2,4,3]
[7,2,4,6,1,8,3,5]=>[6,7,8,2,3,4,1,5]
[4,5,6,2,1,8,3,7]=>[2,6,8,4,5,1,3,7]
[1,2,7,8,3,5,4,6]=>[1,2,8,5,3,4,7,6]
[6,1,4,5,8,2,3,7]=>[6,8,2,1,4,5,3,7]
[1,7,6,2,8,5,4,3]=>[1,6,4,5,7,8,3,2]
[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]
[1,7,6,8,3,4,2,5]=>[1,4,8,3,2,7,6,5]
[7,6,2,5,8,4,1,3]=>[4,8,2,6,1,7,5,3]
[7,1,4,5,8,3,2,6]=>[7,3,8,1,4,2,5,6]
[3,4,1,7,8,6,5,2]=>[4,5,3,1,6,8,7,2]
[2,4,8,6,5,7,1,3]=>[7,2,1,4,6,8,5,3]
[5,1,3,4,8,2,7,6]=>[5,8,1,3,4,7,2,6]
[8,7,3,6,1,4,2,5]=>[6,4,7,1,2,3,8,5]
[6,5,1,8,3,4,7,2]=>[5,6,7,1,8,2,4,3]
[8,2,1,5,6,4,7,3]=>[2,8,7,6,1,5,4,3]
[7,5,6,1,3,4,8,2]=>[6,8,1,3,7,5,4,2]
[5,7,2,4,6,1,8,3]=>[6,7,8,2,5,4,1,3]
[2,1,5,6,3,8,7,4]=>[2,1,6,7,5,3,8,4]
[3,2,7,5,8,6,4,1]=>[4,3,2,6,8,7,1,5]
[2,4,5,3,8,1,7,6]=>[8,2,5,4,3,7,1,6]
[7,2,5,4,3,8,6,1]=>[6,8,4,5,1,7,3,2]
[8,5,3,1,2,6,7,4]=>[3,1,5,8,7,4,6,2]
[7,2,5,1,3,6,8,4]=>[5,7,1,8,2,3,6,4]
[8,4,3,7,1,6,2,5]=>[7,6,4,8,2,1,3,5]
[8,4,7,3,1,2,6,5]=>[3,1,7,8,6,2,4,5]
[1,8,7,3,5,2,6,4]=>[1,5,7,6,3,2,8,4]
[4,8,1,6,2,5,7,3]=>[8,6,7,4,2,1,5,3]
[2,4,8,3,6,5,7,1]=>[7,2,8,4,6,3,5,1]
[4,2,1,8,6,5,7,3]=>[2,4,7,1,6,8,5,3]
[4,7,8,5,2,1,6,3]=>[2,5,8,4,6,3,7,1]
[3,1,8,2,6,5,7,4]=>[3,8,1,7,6,2,5,4]
[2,8,3,6,1,5,7,4]=>[6,2,8,7,1,3,5,4]
[2,8,4,7,3,5,1,6]=>[5,2,7,8,3,1,4,6]
[6,2,8,3,5,4,1,7]=>[4,5,6,8,1,3,2,7]
[7,3,8,4,6,5,2,1]=>[2,5,6,7,8,1,4,3]
[2,4,1,8,6,5,7,3]=>[4,2,7,1,6,8,5,3]
[3,4,2,8,6,5,7,1]=>[7,4,3,2,6,8,5,1]
[1,4,8,2,6,5,7,3]=>[1,8,7,4,6,2,5,3]
[1,3,8,4,6,5,2,7]=>[1,5,3,6,8,2,4,7]
[3,4,8,5,1,6,2,7]=>[5,8,3,4,6,2,1,7]
[4,6,7,8,5,2,1,3]=>[2,5,1,4,8,6,7,3]
[4,7,2,1,8,6,5,3]=>[2,7,5,4,6,8,1,3]
[5,6,2,8,4,1,7,3]=>[4,8,6,7,5,3,2,1]
[5,7,2,4,8,6,1,3]=>[6,8,2,1,5,7,4,3]
[6,7,2,4,8,5,1,3]=>[5,8,2,1,7,6,4,3]
[6,7,3,2,8,5,1,4]=>[5,3,8,2,7,6,1,4]
[7,2,3,1,8,6,5,4]=>[3,7,2,5,6,8,1,4]
[7,2,8,3,5,6,1,4]=>[6,7,8,1,3,5,2,4]
[7,2,3,8,4,6,1,5]=>[6,7,2,8,1,4,3,5]
[1,7,3,4,8,5,2,6]=>[1,5,8,2,7,3,4,6]
[1,7,3,8,5,4,2,6]=>[1,4,5,8,7,2,3,6]
[7,2,8,4,5,3,1,6]=>[3,5,7,8,4,2,1,6]
[2,8,6,4,3,1,7,5]=>[3,2,4,6,8,7,5,1]
[1,7,3,4,8,2,5,6]=>[1,8,7,3,2,5,4,6]
[1,5,8,3,4,6,2,7]=>[1,6,8,3,5,4,2,7]
[1,3,8,4,2,5,7,6]=>[1,4,3,8,2,7,5,6]
[1,4,7,6,2,3,8,5]=>[1,6,2,4,7,8,5,3]
[1,8,4,6,7,2,3,5]=>[1,7,2,8,3,4,6,5]
[2,7,4,5,1,8,6,3]=>[5,2,6,8,3,7,1,4]
[1,4,2,3,7,8,6,5]=>[1,4,2,3,6,8,7,5]
[6,7,1,2,4,8,3,5]=>[7,1,8,2,3,6,4,5]
[7,5,6,2,1,8,3,4]=>[2,6,8,3,7,5,1,4]
[3,2,4,8,5,6,1,7]=>[6,3,2,4,8,5,1,7]
[3,8,4,6,2,7,1,5]=>[7,6,3,8,1,4,2,5]
[3,1,7,4,5,2,6,8]=>[3,5,1,7,4,2,6,8]
[7,3,4,8,1,2,6,5]=>[8,1,7,3,6,2,4,5]
[6,2,1,5,7,8,4,3]=>[2,6,4,8,1,5,7,3]
[5,7,1,6,4,8,3,2]=>[7,3,8,6,5,1,4,2]
[3,5,4,1,2,7,8,6]=>[4,1,3,5,2,8,7,6]
[1,5,8,6,7,4,3,2]=>[1,3,4,7,5,8,6,2]
[1,3,4,8,6,2,5,7]=>[1,6,3,4,2,8,5,7]
[1,7,8,4,5,6,3,2]=>[1,3,6,8,4,5,7,2]
[7,3,6,5,4,1,2,8]=>[4,1,5,6,7,3,2,8]
[1,2,6,3,5,7,4,8]=>[1,2,6,7,3,5,4,8]
[4,6,3,7,5,1,2,8]=>[5,1,7,4,6,2,3,8]
[7,4,5,8,1,3,6,2]=>[8,6,1,7,4,3,5,2]
[1,7,8,6,4,2,5,3]=>[1,4,6,5,3,8,7,2]
[7,2,5,8,4,6,1,3]=>[6,7,1,8,2,4,5,3]
[3,6,8,7,5,1,4,2]=>[5,4,3,1,7,6,8,2]
[3,1,5,7,4,8,2,6]=>[3,8,1,7,5,2,4,6]
[7,2,4,6,1,5,8,3]=>[6,7,8,2,1,4,5,3]
[8,7,1,6,4,2,5,3]=>[7,4,6,5,3,1,8,2]
[2,6,3,5,1,7,8,4]=>[5,2,6,8,3,1,7,4]
[1,4,3,6,2,5,8,7]=>[1,6,4,3,2,5,8,7]
[1,4,6,3,2,5,8,7]=>[1,3,6,4,2,5,8,7]
[1,3,6,5,8,2,4,7]=>[1,8,3,2,6,5,4,7]
[1,4,6,3,2,8,5,7]=>[1,3,6,4,8,2,5,7]
[1,4,6,3,8,2,5,7]=>[1,8,6,4,2,3,5,7]
[6,8,4,1,5,7,2,3]=>[4,8,1,7,2,6,5,3]
[5,2,6,7,4,1,8,3]=>[4,7,5,8,3,6,2,1]
[8,5,6,4,1,7,3,2]=>[4,3,6,7,8,5,2,1]
[7,8,3,1,6,4,5,2]=>[3,8,5,6,4,2,7,1]
[5,8,2,6,3,1,7,4]=>[3,6,8,7,5,1,2,4]
[4,5,8,1,6,3,7,2]=>[8,7,6,4,5,1,3,2]
[8,1,4,6,2,5,7,3]=>[8,6,7,1,2,4,5,3]
[4,5,8,1,6,2,7,3]=>[8,6,7,4,5,1,2,3]
[5,2,6,8,1,4,3,7]=>[8,5,4,1,2,6,3,7]
[6,7,3,8,2,1,4,5]=>[2,8,7,1,4,6,3,5]
[2,6,3,7,4,5,8,1]=>[8,2,6,7,4,3,5,1]
[2,7,3,6,4,5,8,1]=>[8,2,7,6,4,3,5,1]
[2,7,3,1,5,8,6,4]=>[3,2,7,6,1,8,5,4]
[2,7,3,5,4,1,8,6]=>[4,2,5,7,1,8,3,6]
[2,6,3,7,4,1,8,5]=>[4,2,7,6,8,1,3,5]
[2,1,4,8,5,3,7,6]=>[2,1,5,4,8,7,3,6]
[2,7,3,8,4,1,6,5]=>[4,2,8,7,6,3,1,5]
[2,6,3,1,5,4,8,7]=>[3,2,6,5,1,4,8,7]
[2,7,3,1,5,4,8,6]=>[3,2,7,5,1,8,4,6]
[1,5,8,3,4,7,2,6]=>[1,7,8,3,5,2,4,6]
[5,3,8,1,4,6,2,7]=>[8,6,5,1,3,4,2,7]
[4,5,8,1,3,6,2,7]=>[8,6,1,4,5,3,2,7]
[7,4,6,5,2,8,3,1]=>[3,8,5,6,7,1,4,2]
[4,1,3,8,5,7,6,2]=>[4,6,1,3,7,8,2,5]
[4,1,3,7,2,8,6,5]=>[4,7,1,3,6,8,2,5]
[4,6,3,1,7,2,8,5]=>[3,6,7,4,8,2,1,5]
[7,2,6,3,1,8,5,4]=>[3,6,7,5,8,1,2,4]
[4,8,7,2,5,3,1,6]=>[3,5,7,4,1,2,8,6]
[1,6,3,2,8,7,4,5]=>[1,3,6,7,4,2,8,5]
[2,8,1,7,5,4,6,3]=>[8,2,6,5,7,4,1,3]
[6,8,3,1,5,7,2,4]=>[3,8,7,1,2,6,5,4]
[7,2,6,1,3,8,5,4]=>[6,7,1,5,8,2,3,4]
[3,7,4,2,6,5,8,1]=>[8,4,3,7,6,2,5,1]
[7,6,2,1,3,8,5,4]=>[2,6,1,5,7,8,4,3]
[8,7,3,1,2,5,6,4]=>[3,1,7,6,2,5,8,4]
[2,7,3,6,1,8,5,4]=>[6,2,7,5,8,3,1,4]
[5,4,8,7,1,3,6,2]=>[7,6,1,5,4,3,8,2]
[1,8,6,2,5,7,4,3]=>[1,6,4,8,3,7,5,2]
[8,1,3,6,4,2,7,5]=>[8,4,1,6,7,3,2,5]
[6,1,8,2,5,7,4,3]=>[6,8,4,7,2,1,5,3]
[2,8,5,7,1,6,4,3]=>[7,2,4,6,8,1,5,3]
[6,3,1,5,2,8,7,4]=>[3,6,5,7,2,1,8,4]
[7,6,4,2,5,3,8,1]=>[8,4,6,5,3,7,2,1]
[7,4,5,1,2,6,8,3]=>[5,1,8,7,4,2,6,3]
[4,7,6,8,5,2,1,3]=>[2,5,1,4,8,7,6,3]
[4,7,6,8,5,2,3,1]=>[3,5,2,4,8,7,6,1]
[7,4,5,1,2,6,3,8]=>[5,1,6,7,4,2,3,8]
[4,7,5,8,2,6,3,1]=>[3,6,8,4,7,1,5,2]
[4,3,1,8,7,6,2,5]=>[3,4,6,2,1,7,8,5]
[5,4,6,1,8,2,7,3]=>[6,8,7,5,4,1,2,3]
[6,4,7,1,5,8,2,3]=>[7,8,2,6,1,4,5,3]
[5,6,4,2,8,1,7,3]=>[8,4,6,7,5,3,1,2]
[6,4,3,7,8,1,5,2]=>[8,5,4,6,1,3,7,2]
[2,4,6,7,1,5,3,8]=>[7,2,5,4,1,6,3,8]
[5,4,3,1,8,6,7,2]=>[3,4,5,7,1,8,6,2]
[5,4,3,6,1,7,8,2]=>[6,8,4,5,3,1,7,2]
[3,2,7,5,8,1,4,6]=>[8,3,2,1,7,4,5,6]
[3,2,7,8,5,6,1,4]=>[6,3,2,1,8,5,7,4]
[4,8,3,2,1,7,5,6]=>[2,3,8,4,7,5,1,6]
[5,1,2,6,4,7,8,3]=>[5,1,8,6,2,4,7,3]
[1,8,4,5,6,3,2,7]=>[1,3,6,8,4,5,2,7]
[7,4,3,6,1,8,5,2]=>[6,5,4,8,7,2,1,3]
[4,7,6,1,5,8,2,3]=>[6,7,1,4,2,8,5,3]
[2,4,7,6,3,5,8,1]=>[8,2,6,4,3,7,5,1]
[2,6,7,3,4,5,8,1]=>[8,2,7,3,4,6,5,1]
[4,7,6,5,1,8,2,3]=>[5,6,2,4,7,8,1,3]
[3,7,4,6,5,8,2,1]=>[2,8,3,7,6,4,5,1]
[2,1,4,7,8,3,6,5]=>[2,1,8,4,6,3,7,5]
[1,6,5,4,8,7,2,3]=>[1,7,2,5,6,4,8,3]
[1,4,6,5,8,7,2,3]=>[1,7,2,4,6,5,8,3]
[8,5,1,7,4,6,3,2]=>[5,3,8,6,7,1,2,4]
[3,4,8,1,6,7,2,5]=>[8,7,3,4,2,1,6,5]
[3,6,7,8,4,1,5,2]=>[4,8,3,5,2,6,7,1]
[2,3,7,8,4,6,1,5]=>[6,2,3,8,1,4,7,5]
[1,3,7,8,4,6,2,5]=>[1,6,3,8,2,4,7,5]
[3,1,7,8,4,6,2,5]=>[3,6,1,8,2,4,7,5]
[4,3,8,1,6,7,2,5]=>[8,7,4,3,2,1,6,5]
[4,8,7,3,6,1,2,5]=>[6,1,7,4,2,3,8,5]
[5,8,4,3,7,1,2,6]=>[7,1,4,8,5,2,3,6]
[4,1,8,3,7,5,2,6]=>[4,5,7,1,8,3,2,6]
[2,4,8,3,6,7,1,5]=>[7,2,8,4,1,3,6,5]
[1,6,5,8,7,3,2,4]=>[1,3,7,2,6,5,8,4]
[5,6,4,8,7,2,1,3]=>[2,7,1,6,5,4,8,3]
[7,2,6,8,3,5,1,4]=>[5,7,8,1,3,2,6,4]
[7,2,8,6,5,3,1,4]=>[3,5,6,2,8,7,1,4]
[4,8,3,7,6,1,2,5]=>[6,1,7,4,3,8,2,5]
[2,8,4,7,1,3,6,5]=>[7,2,1,8,6,3,4,5]
[6,8,3,4,5,2,1,7]=>[2,5,8,3,4,6,1,7]
[3,7,1,4,5,6,2,8]=>[7,6,3,1,4,5,2,8]
[3,6,1,4,5,2,7,8]=>[6,5,3,1,4,2,7,8]
[3,8,2,4,5,1,7,6]=>[5,8,3,2,4,7,1,6]
[3,7,2,1,5,6,4,8]=>[2,7,3,6,1,5,4,8]
[3,6,8,1,5,4,7,2]=>[8,7,3,5,1,6,4,2]
[1,7,4,6,3,5,2,8]=>[1,5,6,7,3,4,2,8]
[1,3,6,5,7,2,4,8]=>[1,7,3,2,6,5,4,8]
[1,7,4,6,2,5,3,8]=>[1,6,5,7,2,4,3,8]
[1,7,2,5,6,4,3,8]=>[1,7,4,6,2,5,3,8]
[1,6,8,5,4,3,7,2]=>[1,7,4,5,8,6,3,2]
[2,5,7,8,4,3,1,6]=>[3,2,4,8,5,1,7,6]
[6,5,8,4,2,1,3,7]=>[2,4,1,8,6,5,3,7]
[6,8,5,3,2,4,1,7]=>[4,3,5,2,8,6,1,7]
[1,6,8,5,3,2,7,4]=>[1,3,5,8,7,6,4,2]
[4,6,1,8,7,5,3,2]=>[6,3,5,4,7,1,8,2]
[1,4,7,8,3,2,6,5]=>[1,3,8,4,6,2,7,5]
[3,8,5,1,2,7,6,4]=>[5,1,3,8,6,7,4,2]
[1,3,7,6,8,5,2,4]=>[1,5,3,2,8,7,6,4]
[3,8,1,7,2,4,6,5]=>[8,7,3,2,6,4,1,5]
[6,7,8,3,1,2,5,4]=>[3,1,8,5,2,6,7,4]
[4,3,1,2,7,5,6,8]=>[3,1,4,2,7,5,6,8]
[4,1,7,6,8,5,3,2]=>[4,3,5,1,8,7,6,2]
[1,7,6,8,5,3,4,2]=>[1,4,5,3,8,7,6,2]
[4,1,7,8,6,5,2,3]=>[4,5,2,1,6,8,7,3]
[4,3,7,6,5,8,1,2]=>[8,1,4,3,6,7,5,2]
[5,4,3,7,6,1,2,8]=>[6,1,4,5,3,7,2,8]
[6,2,4,8,3,5,7,1]=>[7,6,8,2,3,4,5,1]
[6,5,1,7,3,2,4,8]=>[5,3,6,1,7,2,4,8]
[4,7,8,5,2,3,6,1]=>[6,5,2,4,8,3,7,1]
[4,7,6,1,2,3,8,5]=>[6,1,2,4,7,8,5,3]
[4,3,1,7,8,6,2,5]=>[3,4,6,2,1,8,7,5]
[3,1,7,8,6,5,2,4]=>[3,5,1,2,6,8,7,4]
[4,5,2,6,7,8,1,3]=>[8,5,1,4,2,6,7,3]
[3,6,2,1,7,8,4,5]=>[2,6,3,8,4,1,7,5]
[7,3,1,8,5,2,6,4]=>[3,7,5,8,6,4,2,1]
[7,5,8,4,2,1,3,6]=>[2,4,1,8,7,3,5,6]
[5,7,1,8,3,2,4,6]=>[7,3,8,2,5,4,1,6]
[5,3,2,7,8,4,1,6]=>[4,3,8,5,1,2,7,6]
[1,7,6,2,3,8,5,4]=>[1,6,2,5,7,8,4,3]
[1,5,2,8,7,3,6,4]=>[1,5,7,6,2,3,8,4]
[4,5,1,3,7,6,2,8]=>[5,6,1,4,3,7,2,8]
[7,2,3,8,6,4,5,1]=>[5,7,2,6,4,8,3,1]
[1,5,4,3,8,6,2,7]=>[1,6,4,5,3,8,2,7]
[1,7,4,5,8,2,3,6]=>[1,8,2,7,4,3,5,6]
[1,3,7,5,8,4,6,2]=>[1,6,3,8,7,4,5,2]
[1,6,2,5,4,3,8,7]=>[1,6,4,5,2,3,8,7]
[1,7,4,5,6,2,3,8]=>[1,6,2,7,4,5,3,8]
[1,7,5,6,4,2,3,8]=>[1,4,2,6,7,5,3,8]
[1,7,6,4,2,3,8,5]=>[1,4,2,6,7,8,5,3]
[1,5,6,2,4,3,8,7]=>[1,6,4,2,5,3,8,7]
[1,6,2,5,7,4,3,8]=>[1,6,4,7,2,5,3,8]
[7,8,1,5,3,4,6,2]=>[8,6,5,3,1,4,7,2]
[7,3,5,4,1,6,2,8]=>[4,5,6,7,1,2,3,8]
[3,5,7,1,6,4,2,8]=>[7,4,3,6,5,1,2,8]
[3,7,5,6,1,4,2,8]=>[6,4,3,1,7,5,2,8]
[1,7,5,6,3,4,8,2]=>[1,8,6,3,7,5,4,2]
[5,3,1,2,7,8,4,6]=>[3,1,5,8,2,4,7,6]
[5,1,3,7,8,2,6,4]=>[5,8,1,6,3,2,7,4]
[5,7,2,6,8,4,3,1]=>[3,4,8,7,5,2,6,1]
[1,6,2,7,8,5,4,3]=>[1,6,4,5,8,2,7,3]
[3,5,6,8,1,7,4,2]=>[8,4,3,7,5,6,1,2]
[5,8,1,2,7,6,4,3]=>[8,1,4,6,5,7,2,3]
[1,6,7,4,5,3,2,8]=>[1,3,5,7,4,6,2,8]
[1,4,7,5,6,3,2,8]=>[1,3,6,4,7,5,2,8]
[7,2,6,3,5,4,1,8]=>[4,5,7,6,1,3,2,8]
[7,5,6,2,4,3,1,8]=>[3,4,6,1,7,5,2,8]
[1,6,7,3,5,4,2,8]=>[1,4,5,7,2,6,3,8]
[1,4,2,6,7,5,3,8]=>[1,4,5,2,7,6,3,8]
[1,4,5,3,2,8,6,7]=>[1,3,5,4,2,8,6,7]
[1,8,2,4,6,5,3,7]=>[1,8,5,2,6,4,3,7]
[3,2,1,5,4,8,6,7]=>[2,3,1,5,4,8,6,7]
[1,3,5,4,2,8,6,7]=>[1,4,3,5,2,8,6,7]
[8,2,7,6,4,3,5,1]=>[5,8,4,6,3,7,2,1]
[1,8,3,7,4,5,2,6]=>[1,5,8,7,4,2,3,6]
[8,5,7,3,2,6,4,1]=>[4,3,6,7,8,1,5,2]
[7,5,2,3,6,8,1,4]=>[8,5,2,1,7,3,6,4]
[2,8,7,1,5,3,4,6]=>[7,2,5,3,1,4,8,6]
[8,1,5,2,4,3,6,7]=>[8,5,4,2,1,3,6,7]
[8,6,4,3,1,5,2,7]=>[3,4,6,5,1,8,2,7]
[7,2,1,6,4,3,8,5]=>[2,7,4,6,8,1,3,5]
[1,7,2,6,4,3,8,5]=>[1,7,4,6,8,2,3,5]
[5,8,2,3,1,7,6,4]=>[3,8,2,6,5,7,1,4]
[6,8,2,5,4,1,7,3]=>[4,5,8,7,3,6,2,1]
[6,8,2,1,3,7,4,5]=>[2,8,1,7,4,6,3,5]
[5,6,1,3,4,8,2,7]=>[6,8,1,3,5,4,2,7]
[6,7,1,8,2,4,5,3]=>[7,8,5,2,4,6,1,3]
[6,1,7,8,2,3,5,4]=>[6,8,2,5,3,1,7,4]
[1,4,8,7,2,3,6,5]=>[1,7,2,4,6,3,8,5]
[8,5,6,3,1,4,7,2]=>[3,6,7,2,8,5,4,1]
[8,5,1,6,2,4,7,3]=>[5,8,6,3,7,2,4,1]
[8,5,6,2,3,7,1,4]=>[7,6,2,1,8,5,3,4]
[1,8,4,6,2,3,7,5]=>[1,6,2,8,7,4,3,5]
[1,8,3,2,6,5,7,4]=>[1,3,8,7,6,2,5,4]
[8,4,2,6,5,7,1,3]=>[7,4,1,8,6,2,5,3]
[3,8,1,2,6,4,5,7]=>[8,1,3,6,4,2,5,7]
[4,2,7,8,1,5,3,6]=>[8,4,5,2,1,3,7,6]
[4,1,3,6,5,8,2,7]=>[4,8,1,3,6,5,2,7]
[4,3,7,1,5,8,2,6]=>[7,8,4,3,1,2,5,6]
[2,5,6,8,7,1,3,4]=>[7,2,1,3,5,6,8,4]
[2,8,1,3,4,6,5,7]=>[8,2,1,3,6,4,5,7]
[3,8,4,5,7,6,1,2]=>[6,1,3,7,2,8,5,4]
[2,8,3,4,6,1,7,5]=>[6,2,8,3,7,4,1,5]
[6,5,3,4,1,7,2,8]=>[4,7,5,3,6,1,2,8]
[1,5,6,4,7,8,2,3]=>[1,8,2,6,5,4,7,3]
[2,8,4,5,7,6,1,3]=>[6,2,1,7,3,8,5,4]
[1,2,4,8,7,5,6,3]=>[1,2,6,4,7,5,8,3]
[2,5,4,8,6,1,3,7]=>[6,2,1,5,4,8,3,7]
[2,4,7,1,8,6,3,5]=>[7,2,6,4,3,8,1,5]
[1,8,6,5,2,7,4,3]=>[1,5,4,6,8,7,2,3]
[1,8,6,2,7,4,3,5]=>[1,6,4,8,2,7,3,5]
[2,7,3,4,8,6,1,5]=>[6,2,8,1,3,7,4,5]
[7,2,6,4,1,8,5,3]=>[4,6,7,5,8,3,2,1]
[1,4,8,6,5,3,7,2]=>[1,7,5,4,6,8,3,2]
[1,7,2,8,6,5,4,3]=>[1,7,4,5,6,8,2,3]
[3,4,2,7,5,6,8,1]=>[8,4,3,2,7,5,6,1]
[3,7,4,2,1,6,8,5]=>[2,4,3,7,8,1,6,5]
[7,2,4,5,1,8,6,3]=>[5,7,6,2,4,8,1,3]
[2,4,1,8,5,3,6,7]=>[4,2,5,1,8,3,6,7]
[6,2,7,4,3,5,1,8]=>[5,6,4,7,3,2,1,8]
[7,3,4,8,2,6,5,1]=>[5,6,8,1,7,3,4,2]
[6,8,2,3,4,5,7,1]=>[7,8,2,3,4,6,5,1]
[2,1,7,3,4,6,5,8]=>[2,1,7,3,6,4,5,8]
[5,8,2,7,1,4,6,3]=>[7,8,6,1,5,4,2,3]
[7,3,8,2,4,5,1,6]=>[5,8,7,2,4,1,3,6]
[5,7,2,3,8,6,4,1]=>[4,6,2,8,5,7,3,1]
[6,4,1,8,3,7,5,2]=>[4,6,5,7,8,2,3,1]
[4,5,8,7,3,6,2,1]=>[2,6,7,4,5,3,8,1]
[3,5,4,1,7,8,6,2]=>[4,5,3,6,2,8,7,1]
[8,5,6,1,7,2,3,4]=>[6,7,2,3,8,5,1,4]
[6,8,7,2,1,5,4,3]=>[2,7,4,5,1,6,8,3]
[6,7,3,5,4,2,8,1]=>[8,4,5,7,2,6,3,1]
[6,5,1,7,3,8,4,2]=>[5,4,6,8,7,3,1,2]
[6,2,7,5,4,3,8,1]=>[8,6,4,5,7,2,3,1]
[7,8,6,2,5,4,3,1]=>[3,4,5,6,2,8,7,1]
[6,1,8,3,7,5,4,2]=>[6,4,5,7,8,1,3,2]
[6,2,8,3,7,5,4,1]=>[4,5,7,6,8,1,2,3]
[6,1,2,8,7,5,4,3]=>[6,1,4,5,7,2,8,3]
[8,1,6,3,7,5,4,2]=>[8,4,5,7,6,1,3,2]
[8,2,6,5,3,7,4,1]=>[4,7,8,5,6,3,1,2]
[8,5,1,3,7,6,4,2]=>[5,4,2,8,6,7,3,1]
[7,8,4,6,5,3,2,1]=>[2,3,5,6,8,1,7,4]
[2,8,6,3,7,5,4,1]=>[4,2,5,7,6,8,3,1]
[2,7,5,8,6,4,3,1]=>[3,2,4,6,8,7,1,5]
[8,3,6,5,4,2,1,7]=>[2,4,5,6,8,3,1,7]
[2,4,5,1,7,6,8,3]=>[5,2,8,4,1,7,6,3]
[6,2,3,5,7,1,8,4]=>[7,6,2,8,3,5,1,4]
[6,3,4,2,7,1,8,5]=>[7,4,6,3,8,2,1,5]
[6,1,3,5,7,2,8,4]=>[6,7,1,8,3,5,2,4]
[5,1,3,6,7,2,8,4]=>[5,7,1,8,3,6,2,4]
[5,1,3,6,7,4,8,2]=>[5,8,1,7,3,6,4,2]
[3,2,4,6,7,1,8,5]=>[7,3,2,4,8,6,1,5]
[2,8,1,5,6,4,3,7]=>[8,2,4,6,1,5,3,7]
[2,6,8,3,4,7,5,1]=>[5,2,7,1,8,6,4,3]
[6,1,5,7,4,3,8,2]=>[6,8,4,7,1,5,3,2]
[6,8,3,4,7,5,1,2]=>[5,1,7,2,8,6,4,3]
[6,8,3,7,4,2,5,1]=>[5,4,7,8,3,6,2,1]
[6,7,5,1,2,4,8,3]=>[5,1,7,3,8,6,4,2]
[8,2,4,7,5,6,1,3]=>[6,8,1,2,7,5,4,3]
[2,6,7,5,8,4,1,3]=>[4,2,1,8,7,6,5,3]
[1,6,7,5,8,4,2,3]=>[1,4,2,8,7,6,5,3]
[8,3,1,6,5,2,7,4]=>[3,8,5,6,7,2,4,1]
[7,4,1,6,5,2,8,3]=>[4,7,5,6,8,2,1,3]
[5,4,8,3,1,6,7,2]=>[3,8,7,5,4,2,6,1]
[6,4,2,8,1,5,3,7]=>[8,4,6,5,1,3,2,7]
[7,4,2,8,6,5,3,1]=>[3,5,4,6,8,7,1,2]
[6,8,4,7,3,2,5,1]=>[5,3,7,8,2,6,4,1]
[5,8,7,3,2,1,6,4]=>[2,3,7,6,5,1,8,4]
[5,8,7,2,6,4,3,1]=>[3,4,6,7,5,2,8,1]
[6,8,7,3,5,1,4,2]=>[5,4,7,1,3,6,8,2]
[4,2,5,8,6,1,3,7]=>[6,4,1,2,5,8,3,7]
[1,6,4,8,7,3,2,5]=>[1,3,7,6,2,4,8,5]
[7,2,5,6,8,3,4,1]=>[4,7,8,3,2,5,6,1]
[6,2,5,7,8,3,1,4]=>[3,8,6,2,1,5,7,4]
[1,6,5,7,8,3,2,4]=>[1,3,8,2,6,5,7,4]
[7,5,3,6,8,2,4,1]=>[4,8,5,2,7,3,6,1]
[8,6,7,2,3,5,4,1]=>[4,5,1,7,3,8,6,2]
[5,4,8,6,7,3,1,2]=>[3,1,7,5,4,8,6,2]
[4,2,7,3,1,6,8,5]=>[3,7,4,1,8,2,6,5]
[7,3,6,4,2,1,8,5]=>[2,4,6,7,8,1,3,5]
[4,8,5,2,7,3,1,6]=>[3,7,5,4,8,2,1,6]
[6,4,3,1,8,5,2,7]=>[3,4,6,5,8,1,2,7]
[7,4,3,1,5,8,6,2]=>[3,4,7,6,1,8,5,2]
[7,4,8,6,5,3,1,2]=>[3,1,5,6,8,7,4,2]
[4,8,5,2,6,7,3,1]=>[3,7,5,4,8,1,6,2]
[7,3,2,1,8,5,6,4]=>[2,3,7,6,8,5,1,4]
[1,5,7,2,4,3,8,6]=>[1,7,4,2,5,8,3,6]
[1,2,7,5,8,4,3,6]=>[1,2,4,8,7,3,5,6]
[5,1,3,8,2,7,4,6]=>[5,8,1,7,3,4,2,6]
[5,7,1,3,2,8,4,6]=>[7,3,1,8,5,4,2,6]
[7,1,6,3,2,8,4,5]=>[7,3,6,8,4,1,2,5]
[8,1,7,2,3,6,5,4]=>[8,7,2,5,6,3,1,4]
[7,1,2,6,4,3,8,5]=>[7,1,4,6,8,2,3,5]
[1,4,7,8,3,2,5,6]=>[1,3,8,4,2,5,7,6]
[8,7,1,3,2,4,6,5]=>[7,3,1,2,6,4,8,5]
[8,1,6,3,2,4,7,5]=>[8,3,6,2,7,1,4,5]
[1,8,2,7,6,3,5,4]=>[1,8,6,5,3,7,2,4]
[8,1,6,3,2,7,4,5]=>[8,3,6,7,4,1,2,5]
[8,2,1,7,6,3,4,5]=>[2,8,6,3,4,7,1,5]
[6,8,4,3,5,1,2,7]=>[5,1,4,8,3,6,2,7]
[8,7,3,5,4,1,2,6]=>[4,1,5,7,2,3,8,6]
[6,3,8,5,7,2,1,4]=>[2,7,6,1,8,3,5,4]
[8,7,3,6,4,1,2,5]=>[4,1,6,7,3,2,8,5]
[5,2,7,4,6,1,3,8]=>[6,5,1,7,2,4,3,8]
[8,7,2,3,5,1,4,6]=>[5,7,2,1,3,4,8,6]
[7,6,3,4,1,8,2,5]=>[4,8,6,3,2,7,1,5]
[6,3,5,2,8,1,4,7]=>[8,5,6,1,3,2,4,7]
[6,4,5,3,1,7,2,8]=>[3,5,7,6,4,2,1,8]
[8,7,2,4,3,1,5,6]=>[3,4,7,1,2,5,8,6]
[7,6,2,3,1,4,8,5]=>[3,6,2,1,7,8,5,4]
[2,8,3,6,5,1,4,7]=>[5,2,6,3,8,1,4,7]
[3,7,4,2,6,5,1,8]=>[5,4,3,6,7,1,2,8]
[4,7,6,5,2,3,1,8]=>[3,5,2,4,6,7,1,8]
[3,7,6,1,2,5,4,8]=>[6,1,3,5,2,7,4,8]
[2,5,1,3,8,7,6,4]=>[5,2,1,6,3,7,8,4]
[2,7,3,4,8,1,5,6]=>[8,2,7,3,1,5,4,6]
[4,7,6,1,3,8,5,2]=>[6,5,2,4,7,8,3,1]
[4,7,6,2,3,1,5,8]=>[3,6,2,4,1,7,5,8]
[5,7,4,2,6,8,3,1]=>[3,8,4,7,5,1,6,2]
[5,1,6,4,8,7,2,3]=>[5,7,2,6,1,4,8,3]
[2,7,6,4,3,8,1,5]=>[8,2,4,6,1,7,3,5]
[4,7,1,5,3,2,8,6]=>[7,3,5,4,1,8,2,6]
[4,7,6,1,3,2,8,5]=>[6,3,1,4,7,8,5,2]
[2,8,1,3,5,6,4,7]=>[8,2,1,6,3,5,4,7]
[2,6,3,4,7,8,5,1]=>[5,2,8,1,6,4,7,3]
[7,6,3,1,8,5,2,4]=>[3,6,5,2,7,8,1,4]
[7,2,1,3,6,8,5,4]=>[2,7,1,5,8,3,6,4]
[7,6,3,8,1,5,2,4]=>[8,5,6,2,1,7,3,4]
[1,6,4,7,8,5,3,2]=>[1,3,5,8,6,2,7,4]
[7,2,5,8,6,1,3,4]=>[6,8,2,3,1,7,5,4]
[5,1,6,4,2,7,8,3]=>[5,4,6,8,1,3,7,2]
[6,7,3,8,1,4,2,5]=>[8,4,7,1,2,6,3,5]
[4,1,3,6,2,5,8,7]=>[4,6,1,3,2,5,8,7]
[7,1,4,6,3,2,5,8]=>[7,3,6,1,2,4,5,8]
[7,1,4,6,3,5,2,8]=>[7,5,6,1,3,4,2,8]
[7,1,3,6,5,2,4,8]=>[7,5,1,2,6,3,4,8]
[3,1,2,6,5,4,8,7]=>[3,1,2,5,6,4,8,7]
[1,2,5,6,8,4,3,7]=>[1,2,4,8,5,6,3,7]
[2,5,6,4,7,8,1,3]=>[8,2,1,6,5,4,7,3]
[6,3,5,2,1,7,8,4]=>[2,5,6,8,3,1,7,4]
[6,1,5,3,2,7,8,4]=>[6,3,5,8,1,2,7,4]
[1,3,4,7,2,8,6,5]=>[1,7,3,4,6,8,2,5]
[3,5,2,8,7,4,1,6]=>[4,7,3,5,1,2,8,6]
[7,4,1,8,6,3,2,5]=>[4,3,7,6,1,8,2,5]
[3,7,4,1,5,2,8,6]=>[4,7,3,5,2,8,1,6]
[2,7,3,5,1,4,8,6]=>[5,2,7,1,3,8,4,6]
[7,4,5,8,6,2,3,1]=>[3,6,2,8,1,7,5,4]
[2,3,4,7,8,5,1,6]=>[5,2,3,4,8,1,7,6]
[5,2,4,7,8,3,1,6]=>[3,8,5,1,4,2,7,6]
[5,6,1,3,4,8,7,2]=>[6,7,1,3,5,4,8,2]
[5,6,1,3,8,2,7,4]=>[6,8,1,7,5,3,2,4]
[5,1,6,4,7,8,3,2]=>[5,3,8,6,1,4,7,2]
[5,3,1,2,6,8,7,4]=>[3,1,5,7,2,6,8,4]
[6,4,7,8,1,3,2,5]=>[8,3,1,6,2,4,7,5]
[6,7,2,3,8,4,1,5]=>[4,8,1,7,2,6,3,5]
[6,1,4,7,5,8,3,2]=>[6,3,8,1,7,4,5,2]
[6,3,4,8,2,1,5,7]=>[2,8,6,3,1,4,5,7]
[2,7,3,4,8,5,1,6]=>[5,2,8,1,7,3,4,6]
[2,7,8,1,5,4,3,6]=>[8,2,4,5,1,3,7,6]
[1,4,5,6,2,8,7,3]=>[1,6,7,4,5,2,8,3]
[7,3,4,8,1,5,2,6]=>[8,5,7,3,1,2,4,6]
[1,5,2,6,8,7,4,3]=>[1,5,4,7,2,6,8,3]
[1,8,3,7,5,2,6,4]=>[1,5,7,8,6,3,4,2]
[8,1,3,6,5,2,7,4]=>[8,5,1,6,7,3,4,2]
[7,1,3,8,5,2,6,4]=>[7,5,1,8,6,4,3,2]
[4,7,1,5,2,6,8,3]=>[7,5,8,4,1,2,6,3]
[7,4,1,5,2,6,8,3]=>[4,7,5,8,2,3,6,1]
[3,1,6,7,5,2,8,4]=>[3,5,1,7,8,6,4,2]
[8,6,2,4,5,1,7,3]=>[5,6,8,3,4,7,1,2]
[8,6,7,5,2,1,4,3]=>[2,5,4,1,7,8,6,3]
[7,1,4,5,2,6,8,3]=>[7,5,8,1,4,2,6,3]
[4,1,6,2,3,8,7,5]=>[4,6,2,1,7,3,8,5]
[3,1,7,4,2,8,5,6]=>[3,4,1,7,8,5,2,6]
[3,1,6,4,2,8,7,5]=>[3,4,1,6,7,2,8,5]
[6,5,1,8,2,3,7,4]=>[5,6,1,8,7,2,4,3]
[4,2,1,7,6,3,8,5]=>[2,4,6,1,7,8,5,3]
[5,3,1,8,7,6,2,4]=>[3,5,6,1,2,7,8,4]
[4,3,1,6,2,8,7,5]=>[3,4,6,2,7,1,8,5]
[6,5,3,1,8,7,2,4]=>[3,5,6,2,7,1,8,4]
[4,1,7,5,2,8,3,6]=>[4,5,7,1,8,2,3,6]
[4,1,6,5,2,8,7,3]=>[4,5,6,1,7,3,8,2]
[4,1,7,6,5,2,8,3]=>[4,5,6,1,7,8,2,3]
[5,4,2,1,7,3,8,6]=>[2,4,5,7,3,8,1,6]
[5,4,1,6,2,8,7,3]=>[4,5,6,7,2,3,8,1]
[7,5,6,4,2,8,3,1]=>[3,8,4,6,7,5,1,2]
[5,7,4,6,3,2,8,1]=>[8,3,6,7,5,4,2,1]
[2,7,3,5,4,1,6,8]=>[4,2,5,7,1,3,6,8]
[6,2,4,5,1,7,3,8]=>[5,6,7,2,4,1,3,8]
[2,3,6,1,5,7,4,8]=>[6,2,3,7,1,5,4,8]
[5,6,2,3,4,8,7,1]=>[7,6,2,3,5,4,8,1]
[7,5,6,2,3,8,1,4]=>[8,6,2,1,7,5,3,4]
[3,8,5,4,6,1,7,2]=>[6,7,3,5,8,4,1,2]
[8,4,1,5,6,2,7,3]=>[4,8,6,7,2,5,3,1]
[6,1,4,7,3,2,5,8]=>[6,3,7,1,2,4,5,8]
[8,4,5,3,6,1,7,2]=>[6,7,5,8,4,3,1,2]
[5,2,3,1,6,7,4,8]=>[3,5,2,7,1,6,4,8]
[2,8,4,7,3,5,6,1]=>[6,2,7,8,3,5,4,1]
[1,5,4,8,3,2,6,7]=>[1,3,8,5,4,2,6,7]
[1,5,7,6,3,8,2,4]=>[1,8,6,2,5,7,3,4]
[2,6,3,1,7,8,4,5]=>[3,2,6,8,4,1,7,5]
[2,1,7,8,3,5,4,6]=>[2,1,8,5,3,4,7,6]
[1,5,8,6,7,4,2,3]=>[1,4,2,7,5,8,6,3]
[8,7,1,3,5,2,6,4]=>[7,5,1,6,3,2,8,4]
[3,7,8,2,5,4,1,6]=>[4,5,3,8,1,2,7,6]
[4,7,6,5,8,1,3,2]=>[8,3,1,4,6,7,5,2]
[4,7,8,6,2,1,5,3]=>[2,6,5,4,1,8,7,3]
[4,8,6,3,2,1,7,5]=>[2,3,6,4,8,7,5,1]
[5,1,4,7,6,8,3,2]=>[5,3,8,1,4,7,6,2]
[5,6,4,7,1,8,3,2]=>[7,3,8,6,5,4,1,2]
[5,3,7,4,6,1,8,2]=>[6,8,5,7,3,4,1,2]
[4,1,5,7,8,6,3,2]=>[4,3,6,1,5,8,7,2]
[3,6,7,1,5,4,8,2]=>[7,8,3,5,1,6,4,2]
[3,6,4,7,5,8,2,1]=>[2,8,3,6,7,4,5,1]
[8,1,7,3,2,4,5,6]=>[8,3,7,2,4,5,1,6]
[1,7,4,5,3,8,2,6]=>[1,8,5,7,4,2,3,6]
[5,6,7,4,1,8,3,2]=>[4,3,7,8,5,6,2,1]
[6,5,3,7,8,1,4,2]=>[8,4,5,1,6,3,7,2]
[1,5,6,7,3,8,4,2]=>[1,4,8,7,5,6,2,3]
[6,5,7,3,1,8,2,4]=>[3,7,8,1,6,5,2,4]
[6,4,7,1,5,2,8,3]=>[7,5,8,6,1,4,2,3]
[5,6,7,4,2,1,8,3]=>[2,4,7,8,5,6,3,1]
[5,3,4,7,8,2,6,1]=>[6,8,5,3,4,2,7,1]
[4,6,1,8,2,5,3,7]=>[6,8,5,4,2,1,3,7]
[5,8,3,7,4,1,2,6]=>[4,1,7,8,5,3,2,6]
[3,2,6,1,8,5,4,7]=>[6,3,2,5,8,1,4,7]
[5,7,3,1,4,2,8,6]=>[3,7,4,2,5,8,1,6]
[5,7,3,8,4,2,1,6]=>[2,4,8,7,5,3,1,6]
[3,2,8,4,5,1,7,6]=>[5,3,2,8,4,7,1,6]
[4,8,1,3,5,2,7,6]=>[8,5,1,4,3,7,2,6]
[4,1,6,8,2,5,3,7]=>[4,8,5,1,2,6,3,7]
[6,1,4,8,2,5,3,7]=>[6,8,5,1,2,4,3,7]
[3,2,7,4,5,1,8,6]=>[5,3,2,7,4,8,1,6]
[1,7,4,3,5,8,2,6]=>[1,8,4,7,3,2,5,6]
[7,4,8,5,2,3,6,1]=>[6,5,2,8,7,4,3,1]
[7,3,1,8,4,5,2,6]=>[3,7,5,8,4,1,2,6]
[7,2,8,5,4,3,1,6]=>[3,4,5,8,7,2,1,6]
[5,3,7,1,4,6,2,8]=>[7,6,5,1,3,4,2,8]
[2,7,1,5,4,6,3,8]=>[7,2,6,5,1,4,3,8]
[2,3,7,4,8,1,5,6]=>[8,2,3,7,1,5,4,6]
[4,8,5,2,3,6,7,1]=>[7,5,2,4,8,3,6,1]
[3,4,6,8,2,5,1,7]=>[5,8,3,4,2,6,1,7]
[3,7,2,5,4,6,8,1]=>[8,7,3,5,2,4,6,1]
[3,8,6,5,7,4,2,1]=>[2,4,3,7,6,8,5,1]
[1,6,5,2,8,7,4,3]=>[1,5,4,6,7,3,8,2]
[4,1,7,2,5,8,3,6]=>[4,7,8,1,2,3,5,6]
[3,6,1,7,4,2,8,5]=>[6,4,3,7,8,1,2,5]
[3,1,7,5,2,8,6,4]=>[3,5,1,7,6,8,4,2]
[3,1,6,7,4,8,2,5]=>[3,8,1,7,2,6,4,5]
[5,6,3,2,8,7,4,1]=>[4,3,7,6,5,1,8,2]
[2,6,1,7,8,4,3,5]=>[6,2,4,8,3,1,7,5]
[3,2,5,8,6,4,1,7]=>[4,3,2,6,5,8,1,7]
[3,2,5,8,6,1,7,4]=>[6,3,2,8,5,7,4,1]
[2,3,5,8,4,6,1,7]=>[6,2,3,8,5,4,1,7]
[3,4,2,5,8,6,1,7]=>[6,4,3,2,5,8,1,7]
[4,5,1,7,2,8,6,3]=>[5,7,6,4,1,8,2,3]
[2,6,3,1,8,7,5,4]=>[3,2,6,5,7,1,8,4]
[3,7,5,2,8,6,4,1]=>[4,6,3,5,8,7,2,1]
[2,8,5,3,6,7,4,1]=>[4,2,7,5,8,1,6,3]
[8,3,5,2,6,7,4,1]=>[4,7,5,8,1,3,6,2]
[2,8,6,3,4,7,5,1]=>[5,2,7,1,6,8,4,3]
[4,8,6,3,7,1,2,5]=>[7,1,6,4,2,8,3,5]
[4,7,1,8,5,3,6,2]=>[7,6,5,4,8,3,1,2]
[1,8,6,4,7,2,5,3]=>[1,7,5,6,2,8,4,3]
[4,8,6,3,5,2,7,1]=>[7,5,6,4,3,8,2,1]
[7,3,4,2,1,8,6,5]=>[2,4,7,3,6,8,1,5]
[5,4,2,3,8,7,1,6]=>[7,4,2,5,3,1,8,6]
[7,3,6,4,1,8,2,5]=>[4,6,8,7,3,1,2,5]
[3,8,6,1,5,7,2,4]=>[6,8,3,1,2,7,5,4]
[7,3,6,1,5,8,2,4]=>[6,8,7,2,1,3,5,4]
[6,4,7,2,5,3,1,8]=>[3,5,7,6,1,4,2,8]
[5,7,2,4,8,3,1,6]=>[3,8,7,1,5,2,4,6]
[7,1,4,3,6,8,2,5]=>[7,8,4,1,2,3,6,5]
[3,8,6,1,7,5,4,2]=>[6,4,3,5,8,7,2,1]
[1,8,6,3,5,4,7,2]=>[1,7,6,5,3,8,4,2]
[5,4,1,8,6,3,7,2]=>[4,5,7,6,2,8,1,3]
[6,3,5,4,1,8,7,2]=>[4,5,7,6,1,2,8,3]
[4,8,6,3,5,1,7,2]=>[5,7,6,4,3,8,1,2]
[6,1,2,4,3,8,5,7]=>[6,1,4,2,8,3,5,7]
[6,3,1,5,4,8,7,2]=>[3,6,7,5,2,4,8,1]
[6,3,5,8,4,1,7,2]=>[4,8,7,6,1,5,2,3]
[7,2,1,8,5,4,6,3]=>[2,7,6,5,8,4,1,3]
[1,6,3,7,5,4,8,2]=>[1,8,6,5,7,3,4,2]
[7,1,3,8,5,4,2,6]=>[7,4,1,5,8,2,3,6]
[6,8,2,7,3,4,5,1]=>[5,8,7,3,4,6,2,1]
[2,1,6,3,5,4,7,8]=>[2,1,6,5,3,4,7,8]
[4,8,7,3,5,1,6,2]=>[5,6,7,4,3,1,8,2]
[5,3,8,7,1,6,2,4]=>[7,6,5,2,3,1,8,4]
[5,6,2,4,7,3,1,8]=>[3,7,6,1,5,4,2,8]
[4,1,6,7,2,5,3,8]=>[4,7,5,1,2,6,3,8]
[4,5,1,7,8,2,6,3]=>[5,8,6,4,1,2,7,3]
[3,5,1,7,4,2,8,6]=>[5,4,3,7,1,8,2,6]
[4,2,5,7,1,3,8,6]=>[7,4,1,2,5,8,3,6]
[3,4,2,7,6,1,8,5]=>[6,4,3,2,7,8,5,1]
[3,4,1,6,2,8,7,5]=>[4,6,3,1,7,2,8,5]
[3,5,2,6,1,8,4,7]=>[6,5,3,8,2,1,4,7]
[5,2,6,7,4,3,1,8]=>[3,4,7,5,2,6,1,8]
[8,5,1,6,4,3,2,7]=>[5,3,4,8,6,2,1,7]
[8,6,3,5,2,7,1,4]=>[7,5,6,1,3,8,2,4]
[8,4,6,2,1,5,7,3]=>[2,6,7,8,1,4,5,3]
[8,5,2,1,6,4,7,3]=>[2,5,8,7,6,3,1,4]
[1,7,2,8,5,4,6,3]=>[1,7,6,5,8,4,2,3]
[6,7,1,4,8,5,3,2]=>[7,3,5,1,8,6,4,2]
[7,3,2,8,5,1,4,6]=>[5,3,8,2,7,4,1,6]
[4,1,7,3,2,8,5,6]=>[4,3,7,1,8,5,2,6]
[8,3,5,2,4,7,1,6]=>[7,5,8,2,3,1,4,6]
[4,3,7,8,6,1,5,2]=>[6,5,4,3,1,8,7,2]
[1,2,6,3,7,8,5,4]=>[1,2,6,5,8,3,7,4]
[6,1,3,7,8,5,4,2]=>[6,4,1,5,8,3,7,2]
[4,3,5,7,8,2,1,6]=>[2,8,4,3,5,1,7,6]
[3,6,8,5,4,2,1,7]=>[2,4,3,5,8,6,1,7]
[8,2,7,6,3,5,1,4]=>[5,8,6,1,3,7,2,4]
[1,6,7,3,5,8,2,4]=>[1,8,7,2,3,6,5,4]
[6,4,1,7,5,8,2,3]=>[4,6,1,8,7,2,5,3]
[7,2,5,1,4,3,6,8]=>[5,7,4,1,2,3,6,8]
[4,6,5,2,3,1,7,8]=>[3,5,2,4,6,1,7,8]
[4,5,7,1,3,2,8,6]=>[7,3,1,4,5,8,2,6]
[1,6,5,8,3,4,7,2]=>[1,7,8,3,6,5,4,2]
[5,2,4,7,6,1,3,8]=>[6,5,1,2,4,7,3,8]
[6,1,8,4,7,5,2,3]=>[6,5,2,7,8,1,3,4]
[6,5,1,4,3,7,2,8]=>[5,6,4,2,7,3,1,8]
[2,6,4,7,5,3,1,8]=>[3,2,5,7,6,1,4,8]
[4,6,2,5,7,3,1,8]=>[3,7,6,4,1,5,2,8]
[6,3,4,2,8,7,1,5]=>[7,4,6,3,1,2,8,5]
[5,6,3,7,2,8,4,1]=>[4,8,7,6,5,1,3,2]
[4,5,1,8,6,2,7,3]=>[5,6,8,4,1,7,3,2]
[5,6,1,8,7,2,3,4]=>[6,7,2,3,5,1,8,4]
[4,6,2,8,7,1,3,5]=>[7,6,1,4,3,2,8,5]
[4,2,6,7,8,5,1,3]=>[5,4,1,2,8,6,7,3]
[5,3,8,6,7,1,4,2]=>[7,4,5,1,3,8,6,2]
[4,5,1,6,8,7,3,2]=>[5,3,7,4,1,6,8,2]
[2,8,3,4,5,6,1,7]=>[6,2,8,3,4,5,1,7]
[3,8,6,1,5,2,4,7]=>[6,5,3,2,1,8,4,7]
[3,2,8,1,5,6,4,7]=>[8,3,2,6,1,5,4,7]
[5,8,7,3,2,1,4,6]=>[2,3,7,1,5,4,8,6]
[3,4,7,6,8,2,1,5]=>[2,8,3,4,1,7,6,5]
[2,8,1,3,7,5,6,4]=>[8,2,1,6,7,5,3,4]
[1,8,7,2,5,6,4,3]=>[1,7,4,6,2,5,8,3]
[2,3,6,4,7,8,1,5]=>[8,2,3,6,1,4,7,5]
[2,3,7,4,5,8,1,6]=>[8,2,3,7,4,1,5,6]
[7,6,1,2,5,8,4,3]=>[6,1,4,7,3,8,5,2]
[3,4,7,1,5,8,2,6]=>[7,8,3,4,1,2,5,6]
[4,2,7,1,5,8,3,6]=>[7,4,8,2,1,3,5,6]
[2,4,6,3,5,1,7,8]=>[5,2,6,4,3,1,7,8]
[4,1,6,2,5,8,3,7]=>[4,6,8,1,2,5,3,7]
[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]
[1,4,6,3,8,5,2,7]=>[1,5,8,4,6,2,3,7]
[4,5,6,3,1,7,2,8]=>[3,6,7,4,5,2,1,8]
[3,4,6,2,5,1,7,8]=>[5,6,3,4,2,1,7,8]
[1,4,7,5,2,3,6,8]=>[1,5,2,4,7,3,6,8]
[1,4,6,5,8,2,3,7]=>[1,8,2,4,6,5,3,7]
[1,4,8,3,7,6,2,5]=>[1,6,7,4,3,8,2,5]
[1,4,5,3,7,2,6,8]=>[1,7,5,4,3,2,6,8]
[3,5,7,2,1,8,4,6]=>[2,7,3,8,5,4,1,6]
[2,5,7,3,8,6,1,4]=>[6,2,8,3,5,7,1,4]
[2,4,7,8,3,6,1,5]=>[6,2,8,4,1,3,7,5]
[2,5,7,6,8,3,4,1]=>[4,2,8,3,5,7,6,1]
[2,5,7,6,8,3,1,4]=>[3,2,8,1,5,7,6,4]
[2,8,6,7,1,3,4,5]=>[7,2,1,3,4,8,6,5]
[6,3,4,8,5,2,1,7]=>[2,5,8,1,6,4,3,7]
[2,3,5,4,8,1,6,7]=>[8,2,3,5,4,1,6,7]
[8,3,6,5,4,7,1,2]=>[7,1,8,5,6,3,4,2]
[1,6,8,3,5,4,7,2]=>[1,7,8,5,3,6,4,2]
[6,7,1,3,5,4,8,2]=>[7,8,1,5,3,6,4,2]
[5,6,8,2,7,1,3,4]=>[7,8,1,3,5,6,2,4]
[6,7,1,5,4,8,3,2]=>[7,3,8,5,1,6,4,2]
[6,5,4,7,1,8,3,2]=>[7,3,8,5,6,4,1,2]
[8,3,1,6,5,4,7,2]=>[3,8,7,5,6,2,4,1]
[3,1,6,7,2,8,5,4]=>[3,7,1,5,8,6,2,4]
[1,6,8,5,3,4,7,2]=>[1,7,5,3,8,6,4,2]
[1,5,3,6,8,4,7,2]=>[1,7,5,8,3,6,4,2]
[8,3,6,4,7,1,5,2]=>[7,5,8,6,1,3,4,2]
[6,5,1,3,8,4,7,2]=>[5,6,2,7,8,3,1,4]
[5,1,3,6,8,4,7,2]=>[5,7,1,8,3,6,4,2]
[3,8,4,6,5,1,7,2]=>[5,6,3,7,8,1,2,4]
[7,3,1,2,6,8,5,4]=>[3,1,7,5,8,2,6,4]
[1,7,4,8,5,3,2,6]=>[1,3,5,8,7,4,2,6]
[7,3,1,6,8,4,5,2]=>[3,7,5,8,4,2,6,1]
[6,8,4,5,1,7,3,2]=>[5,3,7,8,4,6,1,2]
[8,4,5,1,6,7,3,2]=>[5,3,7,8,4,1,6,2]
[8,5,1,4,6,7,3,2]=>[5,3,8,2,7,4,6,1]
[7,4,8,5,3,1,2,6]=>[3,1,5,8,7,4,2,6]
[3,4,7,5,6,8,2,1]=>[2,8,3,4,7,5,6,1]
[3,4,7,8,5,2,6,1]=>[6,5,3,4,8,2,7,1]
[4,5,8,6,1,7,2,3]=>[6,8,1,4,5,7,2,3]
[4,8,5,6,1,7,2,3]=>[6,7,2,4,8,5,1,3]
[2,5,8,6,3,7,4,1]=>[4,2,7,6,5,8,1,3]
[3,4,7,2,8,6,5,1]=>[5,6,3,4,8,7,2,1]
[2,3,7,8,6,1,5,4]=>[6,2,3,5,1,8,7,4]
[2,8,1,5,7,4,3,6]=>[8,2,4,7,1,3,5,6]
[2,3,8,4,7,5,1,6]=>[5,2,3,7,8,4,1,6]
[3,8,4,5,1,7,6,2]=>[5,6,3,7,2,8,1,4]
[7,4,1,2,5,3,6,8]=>[4,1,7,5,3,2,6,8]
[4,1,3,5,2,8,6,7]=>[4,5,1,3,2,8,6,7]
[4,3,7,5,1,2,6,8]=>[5,1,4,3,7,2,6,8]
[4,5,3,1,6,2,7,8]=>[3,5,6,4,2,1,7,8]
[7,4,2,1,5,3,6,8]=>[2,4,7,5,3,1,6,8]
[6,7,3,5,4,2,1,8]=>[2,4,5,7,1,6,3,8]
[3,7,4,2,1,6,5,8]=>[2,4,3,7,6,1,5,8]
[6,3,7,5,4,2,1,8]=>[2,4,5,7,6,3,1,8]
[2,7,3,1,4,6,5,8]=>[3,2,7,1,6,4,5,8]
[4,3,1,8,7,2,6,5]=>[3,4,7,2,6,1,8,5]
[2,5,3,1,7,6,4,8]=>[3,2,5,6,1,7,4,8]
[5,3,1,2,7,6,4,8]=>[3,1,5,6,2,7,4,8]
[4,5,1,3,6,2,7,8]=>[5,6,1,4,3,2,7,8]
[5,6,4,1,3,2,7,8]=>[4,3,1,6,5,2,7,8]
[7,4,2,3,6,5,1,8]=>[5,4,1,6,7,3,2,8]
[7,2,4,3,1,5,6,8]=>[3,4,7,1,2,5,6,8]
[6,3,1,4,8,5,7,2]=>[3,6,7,2,8,4,5,1]
[6,3,5,4,8,7,1,2]=>[7,1,6,5,3,4,8,2]
[2,6,4,3,1,7,5,8]=>[3,2,4,6,7,1,5,8]
[4,8,1,7,5,6,3,2]=>[8,3,6,4,7,5,1,2]
[1,5,7,2,8,4,6,3]=>[1,7,6,8,5,4,2,3]
[5,8,7,2,3,6,4,1]=>[4,6,1,7,5,3,8,2]
[4,6,5,1,2,3,7,8]=>[5,1,2,4,6,3,7,8]
[1,8,7,5,2,6,3,4]=>[1,5,7,2,6,3,8,4]
[1,7,6,3,4,5,8,2]=>[1,8,6,3,4,7,5,2]
[1,8,7,4,5,6,2,3]=>[1,6,2,7,4,5,8,3]
[1,8,7,3,6,4,2,5]=>[1,4,6,7,3,2,8,5]
[1,4,7,5,8,2,6,3]=>[1,8,6,4,7,2,5,3]
[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]
[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]
[1,2,6,5,8,3,4,7]=>[1,2,8,3,6,5,4,7]
[1,5,8,2,6,3,4,7]=>[1,8,6,3,5,2,4,7]
[6,3,5,1,4,2,7,8]=>[5,4,6,1,3,2,7,8]
[6,8,3,2,7,5,1,4]=>[5,3,7,2,8,6,1,4]
[7,4,2,1,3,8,6,5]=>[2,4,1,7,6,8,3,5]
[8,1,6,7,3,5,2,4]=>[8,5,7,2,3,1,6,4]
[7,3,6,8,1,2,5,4]=>[8,1,7,5,2,3,6,4]
[7,3,5,6,8,2,4,1]=>[4,8,7,2,3,5,6,1]
[7,2,6,4,8,1,5,3]=>[8,7,5,6,1,2,4,3]
[7,3,2,1,5,8,6,4]=>[2,3,7,6,1,8,5,4]
[4,1,5,7,2,6,3,8]=>[4,7,6,1,5,2,3,8]
[5,7,2,1,3,6,4,8]=>[2,7,1,6,5,3,4,8]
[6,1,8,7,2,5,3,4]=>[6,7,5,3,2,1,8,4]
[7,2,5,8,6,4,3,1]=>[3,4,6,8,1,7,5,2]
[7,6,3,5,1,4,2,8]=>[5,4,6,1,3,7,2,8]
[4,1,5,3,7,6,2,8]=>[4,6,5,1,3,7,2,8]
[2,5,4,1,7,6,3,8]=>[4,2,5,6,3,7,1,8]
[5,1,6,8,3,2,4,7]=>[5,3,8,2,1,6,4,7]
[2,6,8,7,3,5,4,1]=>[4,2,5,7,1,6,8,3]
[2,1,8,6,5,3,4,7]=>[2,1,5,3,6,8,4,7]
[2,7,8,6,5,3,4,1]=>[4,2,5,3,6,8,7,1]
[3,5,6,7,2,4,1,8]=>[4,7,3,2,5,6,1,8]
[6,4,7,5,2,3,1,8]=>[3,5,2,7,6,1,4,8]
[1,5,6,4,8,3,2,7]=>[1,3,8,6,5,4,2,7]
[2,1,5,6,4,8,3,7]=>[2,1,8,6,5,4,3,7]
[5,1,4,7,8,6,2,3]=>[5,6,2,1,4,8,7,3]
[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3]
[5,3,2,1,7,8,6,4]=>[2,3,5,6,1,8,7,4]
[7,4,3,8,6,1,5,2]=>[6,5,4,8,3,7,1,2]
[4,3,7,1,5,8,6,2]=>[7,6,4,3,1,8,5,2]
[8,2,4,5,3,1,7,6]=>[3,5,8,1,4,7,2,6]
[1,4,3,2,7,5,8,6]=>[1,3,4,2,7,8,5,6]
[4,8,7,2,6,1,3,5]=>[6,7,1,4,3,2,8,5]
[4,5,8,2,1,7,3,6]=>[2,8,7,4,5,3,1,6]
[6,8,4,1,7,3,2,5]=>[4,3,8,7,1,6,2,5]
[6,3,1,8,2,7,5,4]=>[3,6,8,5,7,2,1,4]
[3,8,5,2,1,7,6,4]=>[2,5,3,8,6,7,4,1]
[2,4,8,7,5,1,6,3]=>[5,2,7,4,6,3,8,1]
[6,4,1,3,2,5,7,8]=>[4,3,1,6,2,5,7,8]
[4,1,7,8,3,2,5,6]=>[4,3,8,1,2,5,7,6]
[5,4,7,1,3,6,2,8]=>[7,6,1,5,4,3,2,8]
[1,8,2,4,5,3,6,7]=>[1,8,5,2,4,3,6,7]
[1,8,2,4,5,3,7,6]=>[1,8,5,2,4,7,3,6]
[3,5,8,6,2,1,7,4]=>[2,6,3,8,5,7,4,1]
[2,8,6,1,3,4,7,5]=>[6,2,1,3,8,7,5,4]
[6,5,7,2,3,8,4,1]=>[4,8,1,7,6,5,3,2]
[5,6,8,2,7,4,3,1]=>[3,4,7,8,5,6,2,1]
[7,6,2,8,4,5,3,1]=>[3,5,6,7,1,8,4,2]
[5,8,2,1,3,6,4,7]=>[2,8,1,6,5,3,4,7]
[5,8,2,1,7,4,6,3]=>[2,8,6,7,5,4,1,3]
[5,7,6,2,8,4,3,1]=>[3,4,8,6,5,7,2,1]
[7,8,6,2,3,1,5,4]=>[3,6,2,5,1,8,7,4]
[2,8,6,1,7,5,4,3]=>[6,2,4,5,8,7,3,1]
[8,2,4,3,7,1,5,6]=>[7,8,4,2,1,5,3,6]
[1,4,8,5,7,3,2,6]=>[1,3,7,4,8,2,5,6]
[8,2,3,7,1,6,4,5]=>[7,8,2,6,4,1,3,5]
[6,5,1,4,8,7,3,2]=>[5,3,6,2,7,4,8,1]
[8,5,1,7,3,4,6,2]=>[5,8,6,1,7,4,2,3]
[5,1,2,4,7,3,8,6]=>[5,1,7,2,4,8,3,6]
[6,2,5,4,1,7,3,8]=>[4,5,6,7,3,2,1,8]
[6,2,8,7,4,1,5,3]=>[4,7,6,5,2,3,8,1]
[8,4,6,1,5,3,7,2]=>[6,7,5,8,1,4,3,2]
[4,1,2,6,5,7,3,8]=>[4,1,7,2,6,5,3,8]
[8,6,5,4,1,7,3,2]=>[4,3,5,6,8,7,2,1]
[5,7,6,3,4,1,8,2]=>[4,8,6,3,5,7,1,2]
[5,3,1,6,4,7,8,2]=>[3,5,8,6,2,4,7,1]
[1,5,6,2,7,4,8,3]=>[1,6,8,7,5,2,4,3]
[8,3,5,6,4,1,7,2]=>[4,6,7,8,1,5,2,3]
[2,1,5,7,3,6,4,8]=>[2,1,7,6,5,3,4,8]
[6,4,5,8,2,1,3,7]=>[2,8,1,6,4,5,3,7]
[7,3,8,2,1,5,4,6]=>[2,8,7,5,1,4,3,6]
[1,3,6,2,8,5,7,4]=>[1,6,3,7,8,2,5,4]
[5,3,8,6,1,7,2,4]=>[6,8,5,1,3,7,2,4]
[2,5,3,6,8,1,7,4]=>[8,2,5,7,3,6,1,4]
[7,1,5,6,4,8,2,3]=>[7,8,2,6,1,5,4,3]
[1,8,3,6,2,5,7,4]=>[1,6,8,7,2,3,5,4]
[3,1,8,6,2,5,7,4]=>[3,6,1,8,4,7,5,2]
[6,4,2,3,1,7,8,5]=>[3,4,2,6,8,1,7,5]
[1,8,3,5,2,6,4,7]=>[1,5,8,6,3,2,4,7]
[3,4,6,1,8,5,7,2]=>[6,7,3,4,8,1,5,2]
[2,3,8,7,4,5,1,6]=>[5,2,3,7,4,1,8,6]
[1,8,3,5,7,4,2,6]=>[1,4,7,8,2,3,5,6]
[2,5,8,4,6,7,1,3]=>[7,2,1,8,5,4,6,3]
[7,1,2,6,4,3,5,8]=>[7,1,4,6,3,2,5,8]
[7,1,2,6,5,3,4,8]=>[7,1,5,3,6,2,4,8]
[3,4,6,2,7,1,8,5]=>[7,6,3,4,8,2,1,5]
[5,1,2,7,4,3,8,6]=>[5,1,4,7,2,8,3,6]
[2,1,4,7,3,8,6,5]=>[2,1,7,4,6,8,3,5]
[6,4,3,5,1,7,8,2]=>[5,8,4,6,3,1,7,2]
[5,4,6,8,3,7,1,2]=>[7,1,8,5,4,6,3,2]
[2,7,4,6,3,5,8,1]=>[8,2,6,7,3,4,5,1]
[7,1,4,6,3,5,8,2]=>[7,8,6,1,3,4,5,2]
[4,3,6,7,2,5,8,1]=>[8,7,4,3,2,6,5,1]
[4,3,6,8,2,5,1,7]=>[5,8,4,3,2,6,1,7]
[4,7,8,6,2,3,5,1]=>[5,6,2,4,3,8,7,1]
[4,8,6,2,3,5,7,1]=>[7,6,2,4,3,8,5,1]
[2,4,8,7,1,5,6,3]=>[7,2,6,4,1,5,8,3]
[3,2,8,6,4,7,5,1]=>[5,3,2,7,6,8,1,4]
[2,8,4,7,3,1,5,6]=>[3,2,7,8,1,5,4,6]
[2,3,1,4,8,7,5,6]=>[3,2,1,4,7,5,8,6]
[3,1,5,8,2,6,4,7]=>[3,8,1,6,5,2,4,7]
[7,1,2,4,8,6,5,3]=>[7,1,5,2,6,8,4,3]
[3,5,4,1,8,7,6,2]=>[4,5,3,6,2,7,8,1]
[5,2,4,1,8,7,6,3]=>[4,5,6,2,1,7,8,3]
[5,3,4,1,8,7,6,2]=>[4,6,5,3,1,7,8,2]
[7,1,3,2,8,6,5,4]=>[7,3,1,5,6,8,2,4]
[2,5,3,1,8,7,6,4]=>[3,2,5,6,1,7,8,4]
[4,3,5,1,8,7,6,2]=>[5,6,4,3,1,7,8,2]
[4,6,1,8,7,2,3,5]=>[6,7,2,4,3,1,8,5]
[2,7,5,6,4,8,1,3]=>[8,2,1,6,7,5,4,3]
[2,7,3,5,6,1,8,4]=>[6,2,7,8,3,5,1,4]
[4,8,2,5,6,1,7,3]=>[6,8,7,4,2,5,1,3]
[3,8,4,7,1,5,6,2]=>[7,6,3,8,1,5,4,2]
[3,6,7,1,5,8,4,2]=>[7,4,3,8,1,6,5,2]
[2,8,3,6,5,7,1,4]=>[7,2,8,1,6,3,5,4]
[4,3,7,1,8,6,2,5]=>[7,6,4,3,2,8,1,5]
[3,8,1,6,2,4,7,5]=>[8,6,3,2,7,1,4,5]
[2,5,8,4,1,6,7,3]=>[4,2,8,7,5,3,6,1]
[7,4,3,1,6,5,2,8]=>[3,4,7,5,6,1,2,8]
[3,5,1,2,6,8,7,4]=>[5,1,3,7,2,6,8,4]
[3,1,2,4,8,7,5,6]=>[3,1,2,4,7,5,8,6]
[1,6,8,4,7,3,5,2]=>[1,5,7,8,3,6,4,2]
[1,6,8,5,4,7,3,2]=>[1,3,7,5,8,6,4,2]
[6,8,5,4,7,3,1,2]=>[3,1,7,5,8,6,4,2]
[6,8,5,1,4,7,3,2]=>[5,3,8,2,7,6,4,1]
[5,6,8,3,1,4,7,2]=>[3,8,7,2,5,6,4,1]
[1,5,6,8,3,4,7,2]=>[1,7,8,3,5,6,4,2]
[1,3,6,8,5,4,7,2]=>[1,7,3,5,8,6,4,2]
[5,6,7,1,4,8,3,2]=>[7,3,8,1,5,6,4,2]
[5,4,1,2,3,7,8,6]=>[4,1,2,5,3,8,7,6]
[1,6,7,2,5,8,3,4]=>[1,7,8,3,2,6,5,4]
[7,8,5,6,2,4,3,1]=>[3,4,6,1,8,5,7,2]
[5,3,8,6,2,4,1,7]=>[4,6,5,2,3,8,1,7]
[2,7,4,6,3,8,1,5]=>[8,2,6,7,1,4,3,5]
[5,4,7,8,6,2,1,3]=>[2,6,1,5,4,8,7,3]
[2,7,4,8,3,1,5,6]=>[3,2,8,7,1,5,4,6]
[8,2,1,3,7,4,6,5]=>[2,8,1,7,6,4,3,5]
[6,5,8,2,3,4,7,1]=>[7,8,2,3,6,5,4,1]
[7,8,2,3,6,4,5,1]=>[5,8,2,6,4,3,7,1]
[8,1,2,7,5,3,4,6]=>[8,1,5,3,7,4,2,6]
[4,2,8,1,3,7,5,6]=>[8,4,1,2,7,5,3,6]
[7,5,1,8,2,3,4,6]=>[5,7,1,3,8,4,2,6]
[8,2,4,1,3,7,5,6]=>[4,8,1,2,7,5,3,6]
[8,1,6,2,3,7,4,5]=>[8,6,2,7,4,1,3,5]
[7,1,8,2,3,6,4,5]=>[7,8,2,6,4,3,1,5]
[4,2,6,7,5,1,8,3]=>[5,4,7,2,8,6,3,1]
[4,7,2,5,3,8,1,6]=>[8,7,5,4,2,1,3,6]
[3,5,7,4,2,8,1,6]=>[8,4,3,7,5,1,2,6]
[2,4,7,6,3,8,1,5]=>[8,2,6,4,1,7,3,5]
[4,6,8,5,1,2,3,7]=>[5,1,2,4,8,6,3,7]
[4,6,5,7,1,2,3,8]=>[7,1,2,4,6,5,3,8]
[4,6,5,7,1,3,8,2]=>[7,8,1,4,6,5,3,2]
[3,4,7,6,1,8,2,5]=>[6,7,3,4,1,8,2,5]
[5,8,6,1,4,2,3,7]=>[6,4,2,1,5,8,3,7]
[5,7,2,4,1,6,8,3]=>[4,7,8,2,5,1,6,3]
[8,5,3,4,7,6,1,2]=>[6,1,5,2,7,8,4,3]
[8,5,3,4,1,7,6,2]=>[4,6,5,2,7,8,1,3]
[8,5,3,4,7,1,6,2]=>[7,6,5,3,8,1,4,2]
[8,5,2,3,6,4,1,7]=>[4,6,1,5,8,3,2,7]
[5,6,2,1,8,7,4,3]=>[2,6,4,7,5,1,8,3]
[8,5,2,3,4,7,1,6]=>[7,5,2,3,8,1,4,6]
[1,6,5,8,3,2,4,7]=>[1,3,8,2,6,5,4,7]
[8,5,2,1,6,3,4,7]=>[2,5,8,1,6,3,4,7]
[7,1,8,5,3,2,4,6]=>[7,3,5,2,8,4,1,6]
[8,6,1,3,2,7,5,4]=>[6,3,1,5,8,7,4,2]
[8,1,7,5,2,4,6,3]=>[8,5,7,3,6,4,1,2]
[8,2,7,5,4,1,6,3]=>[4,5,7,8,6,3,1,2]
[8,6,1,2,7,3,5,4]=>[6,1,8,5,2,7,3,4]
[6,2,1,5,7,8,3,4]=>[2,6,8,3,1,5,7,4]
[7,3,1,6,4,8,2,5]=>[3,7,8,6,1,2,4,5]
[2,6,1,8,7,4,5,3]=>[6,2,5,7,4,1,8,3]
[4,2,8,5,7,1,6,3]=>[7,4,6,2,8,1,5,3]
[4,8,5,1,2,6,3,7]=>[5,1,8,4,6,3,2,7]
[6,8,2,5,7,3,4,1]=>[4,8,7,3,2,6,5,1]
[8,6,7,2,4,3,5,1]=>[5,7,4,2,3,8,6,1]
[7,2,5,8,4,6,3,1]=>[3,6,7,8,1,4,5,2]
[6,8,7,4,5,3,2,1]=>[2,3,5,7,4,6,8,1]
[5,3,7,6,2,8,1,4]=>[8,6,5,1,3,7,2,4]
[5,2,6,7,4,8,3,1]=>[3,8,5,7,1,6,4,2]
[2,6,5,8,3,7,4,1]=>[4,2,7,8,6,5,1,3]
[4,2,7,8,5,3,6,1]=>[6,4,5,2,8,3,7,1]
[3,6,5,7,8,1,4,2]=>[8,4,3,1,6,5,7,2]
[5,6,2,3,8,7,4,1]=>[4,7,1,6,5,3,8,2]
[4,5,7,1,8,6,3,2]=>[7,3,6,4,5,8,1,2]
[3,7,6,5,4,1,2,8]=>[4,1,3,5,6,7,2,8]
[7,6,8,3,1,4,2,5]=>[3,8,4,2,1,7,6,5]
[8,5,1,7,3,6,4,2]=>[5,4,8,6,7,1,3,2]
[2,6,4,7,5,1,3,8]=>[5,2,1,7,6,3,4,8]
[6,5,8,1,7,3,2,4]=>[8,3,7,2,6,5,1,4]
[8,3,1,4,6,5,7,2]=>[3,8,7,2,6,4,5,1]
[6,4,8,1,5,2,3,7]=>[8,5,2,6,1,4,3,7]
[1,4,7,3,8,6,5,2]=>[1,5,6,4,8,7,3,2]
[7,2,4,1,6,3,5,8]=>[4,7,6,2,3,1,5,8]
[5,2,4,1,3,6,8,7]=>[4,5,1,2,3,6,8,7]
[2,6,1,5,3,4,8,7]=>[6,2,5,3,1,4,8,7]
[3,8,7,5,4,2,6,1]=>[6,4,3,5,7,2,8,1]
[5,7,8,2,3,6,4,1]=>[4,6,1,8,5,3,7,2]
[2,8,7,3,1,4,5,6]=>[3,2,7,1,4,5,8,6]
[5,6,1,2,4,7,8,3]=>[6,1,8,2,5,4,7,3]
[3,8,6,7,5,4,2,1]=>[2,4,3,5,7,8,6,1]
[7,8,5,1,4,6,2,3]=>[5,8,1,2,6,4,7,3]
[8,2,7,5,4,6,1,3]=>[6,8,1,5,7,4,2,3]
[8,4,7,6,3,1,2,5]=>[3,1,6,7,4,8,2,5]
[4,6,7,1,3,2,8,5]=>[7,3,1,4,8,6,2,5]
[6,4,7,5,3,2,8,1]=>[8,3,5,7,6,2,4,1]
[8,4,6,3,1,5,7,2]=>[3,6,7,8,2,4,5,1]
[7,3,1,4,5,6,8,2]=>[3,7,8,2,4,5,6,1]
[7,8,1,2,4,5,3,6]=>[8,1,5,2,4,3,7,6]
[1,8,5,7,3,2,6,4]=>[1,3,7,6,8,2,5,4]
[1,7,5,8,3,2,6,4]=>[1,3,8,6,7,2,5,4]
[8,3,2,4,1,6,5,7]=>[4,3,8,2,6,1,5,7]
[7,3,2,4,1,8,5,6]=>[4,3,7,2,8,5,1,6]
[7,2,4,3,6,1,5,8]=>[6,7,4,2,1,3,5,8]
[6,3,2,4,7,1,5,8]=>[7,3,6,2,1,4,5,8]
[6,7,3,4,2,1,8,5]=>[2,4,7,3,8,6,1,5]
[6,4,8,3,1,5,7,2]=>[3,8,7,6,2,4,5,1]
[7,4,2,3,5,1,8,6]=>[5,4,2,7,3,8,1,6]
[3,1,6,5,2,4,8,7]=>[3,5,1,2,6,4,8,7]
[5,2,8,7,6,3,4,1]=>[4,5,6,3,2,7,8,1]
[3,6,8,7,4,5,1,2]=>[5,1,3,7,4,6,8,2]
[1,6,8,7,4,5,2,3]=>[1,5,2,7,4,6,8,3]
[8,3,5,7,1,4,2,6]=>[7,4,8,1,3,2,5,6]
[4,5,2,8,6,3,1,7]=>[3,6,5,4,1,8,2,7]
[5,8,4,2,6,3,1,7]=>[3,6,4,8,5,1,2,7]
[2,5,3,8,6,4,1,7]=>[4,2,6,5,1,8,3,7]
[7,4,2,8,5,3,1,6]=>[3,5,4,8,7,1,2,6]
[7,8,3,2,6,4,1,5]=>[4,3,6,8,2,1,7,5]
[6,8,3,2,7,4,1,5]=>[4,3,7,8,2,6,1,5]
[7,2,8,3,6,4,1,5]=>[4,6,7,8,2,1,3,5]
[5,3,8,2,6,4,1,7]=>[4,6,8,5,1,3,2,7]
[5,2,3,8,6,4,1,7]=>[4,6,1,5,3,8,2,7]
[4,2,5,8,6,3,1,7]=>[3,6,4,1,5,8,2,7]
[5,8,3,4,6,2,1,7]=>[2,6,8,3,5,4,1,7]
[5,7,4,1,8,3,6,2]=>[4,7,6,8,5,1,2,3]
[6,7,1,5,8,3,2,4]=>[7,3,8,2,1,6,5,4]
[6,8,1,7,3,4,5,2]=>[8,5,7,3,4,6,1,2]
[5,7,3,1,6,4,2,8]=>[3,7,4,6,5,2,1,8]
[6,7,1,5,4,3,2,8]=>[7,3,4,5,1,6,2,8]
[5,8,4,1,3,2,7,6]=>[4,3,1,8,5,7,2,6]
[5,8,4,1,3,2,6,7]=>[4,3,1,8,5,2,6,7]
[5,6,4,3,1,7,2,8]=>[3,4,6,7,5,1,2,8]
[4,3,6,5,1,7,2,8]=>[5,6,4,3,7,2,1,8]
[5,6,4,3,1,7,8,2]=>[3,4,6,8,5,1,7,2]
[5,7,4,1,6,3,8,2]=>[4,7,8,6,5,2,1,3]
[5,8,4,1,3,6,2,7]=>[4,8,2,6,5,3,1,7]
[6,8,1,5,3,7,4,2]=>[8,4,7,5,1,6,2,3]
[7,8,1,3,4,2,5,6]=>[8,4,1,3,2,5,7,6]
[6,8,1,4,3,5,2,7]=>[8,5,4,1,3,6,2,7]
[4,7,6,3,1,8,5,2]=>[3,6,5,4,7,8,1,2]
[5,3,4,7,6,1,8,2]=>[6,7,5,3,4,8,2,1]
[4,2,5,3,6,7,1,8]=>[7,4,5,2,3,6,1,8]
[8,2,6,5,3,7,1,4]=>[7,8,5,1,6,2,3,4]
[6,2,3,5,1,7,4,8]=>[5,6,2,7,3,1,4,8]
[7,3,8,4,6,1,2,5]=>[6,1,7,8,2,4,3,5]
[8,4,6,2,7,1,5,3]=>[7,6,5,8,1,4,2,3]
[1,4,6,3,5,2,8,7]=>[1,5,6,4,3,2,8,7]
[5,4,3,8,6,2,1,7]=>[2,6,4,5,3,8,1,7]
[8,7,4,1,5,3,2,6]=>[4,3,7,5,2,1,8,6]
[5,7,2,1,4,8,3,6]=>[2,7,8,1,5,3,4,6]
[2,7,4,8,3,1,6,5]=>[3,2,8,7,6,1,4,5]
[4,5,2,1,6,3,8,7]=>[2,5,6,4,1,3,8,7]
[4,5,2,1,6,7,3,8]=>[2,5,7,4,1,6,3,8]
[5,3,8,6,2,4,7,1]=>[7,6,5,2,3,8,4,1]
[2,5,1,6,4,3,8,7]=>[5,2,4,6,1,3,8,7]
[3,6,2,8,5,7,1,4]=>[7,6,3,1,8,2,5,4]
[4,6,8,1,5,7,2,3]=>[8,7,2,4,1,6,5,3]
[4,1,2,5,7,6,3,8]=>[4,1,6,2,5,7,3,8]
[4,6,5,8,1,7,3,2]=>[8,3,7,4,6,5,1,2]
[2,1,3,6,4,8,7,5]=>[2,1,3,6,7,4,8,5]
[4,8,1,2,7,5,6,3]=>[8,1,6,4,7,5,2,3]
[5,7,2,4,6,3,8,1]=>[8,7,6,2,5,4,3,1]
[8,6,7,3,1,5,4,2]=>[3,7,4,5,2,8,6,1]
[6,4,5,2,7,8,3,1]=>[3,8,5,6,4,1,7,2]
[7,4,1,5,2,8,3,6]=>[4,7,5,8,2,1,3,6]
[1,6,4,3,8,7,5,2]=>[1,5,4,7,6,2,8,3]
[8,7,5,2,1,6,3,4]=>[2,5,7,1,6,3,8,4]
[4,2,3,8,1,5,7,6]=>[8,4,2,3,1,7,5,6]
[8,1,2,3,7,4,6,5]=>[8,1,2,7,6,4,3,5]
[7,4,2,6,5,3,8,1]=>[8,4,7,5,6,3,2,1]
[8,1,3,6,5,7,2,4]=>[8,7,1,2,6,3,5,4]
[7,3,2,6,5,8,4,1]=>[4,3,8,7,6,1,5,2]
[2,4,7,3,5,8,1,6]=>[8,2,7,4,3,1,5,6]
[4,5,1,6,8,7,2,3]=>[5,7,2,4,1,6,8,3]
[3,4,7,2,5,8,6,1]=>[6,8,3,4,1,7,5,2]
[3,2,7,4,5,1,6,8]=>[5,3,2,7,4,1,6,8]
[6,8,3,5,2,4,7,1]=>[7,5,8,2,3,6,4,1]
[7,2,5,3,1,4,6,8]=>[3,5,7,2,1,4,6,8]
[4,3,1,6,5,7,2,8]=>[3,4,7,2,6,5,1,8]
[4,2,7,3,5,6,1,8]=>[6,4,7,2,3,5,1,8]
[3,8,7,6,1,5,2,4]=>[6,5,3,2,1,7,8,4]
[3,1,5,8,2,4,7,6]=>[3,8,1,2,5,7,4,6]
[1,3,8,6,4,5,7,2]=>[1,7,3,6,4,8,5,2]
[2,5,1,8,6,4,7,3]=>[5,2,7,6,1,8,4,3]
[3,1,2,8,5,4,6,7]=>[3,1,2,5,8,4,6,7]
[2,5,8,7,3,1,4,6]=>[3,2,7,1,5,4,8,6]
[7,2,5,3,8,1,6,4]=>[8,7,5,6,2,1,3,4]
[5,2,1,6,4,8,7,3]=>[2,5,7,6,1,4,8,3]
[8,4,2,5,1,7,6,3]=>[5,4,8,6,3,7,1,2]
[2,7,4,8,5,1,6,3]=>[5,2,8,6,7,3,1,4]
[6,4,1,7,5,3,8,2]=>[4,6,8,5,7,2,1,3]
[5,1,3,7,4,6,8,2]=>[5,8,1,7,3,4,6,2]
[7,1,2,6,4,8,5,3]=>[7,1,5,8,6,2,3,4]
[3,8,7,2,6,1,4,5]=>[6,7,3,1,4,2,8,5]
[8,1,5,7,2,3,4,6]=>[8,7,2,3,1,4,5,6]
[3,8,4,2,1,7,5,6]=>[2,4,3,8,7,5,1,6]
[8,4,5,1,6,7,2,3]=>[5,7,2,8,4,1,6,3]
[4,2,5,1,7,8,6,3]=>[5,4,6,2,1,8,7,3]
[8,4,7,3,1,5,2,6]=>[3,7,5,8,2,1,4,6]
[4,1,6,3,8,2,5,7]=>[4,8,6,1,2,3,5,7]
[5,2,8,7,4,1,3,6]=>[4,7,2,5,1,3,8,6]
[2,5,1,8,3,6,4,7]=>[5,2,8,6,1,3,4,7]
[5,3,8,1,6,2,7,4]=>[8,6,5,7,3,1,2,4]
[5,2,8,7,1,3,6,4]=>[7,5,1,6,2,3,8,4]
[4,1,5,8,2,3,7,6]=>[4,8,2,1,5,7,3,6]
[4,8,1,2,6,3,5,7]=>[8,1,6,4,3,2,5,7]
[8,2,5,4,3,6,1,7]=>[6,8,4,5,2,3,1,7]
[2,5,1,4,6,8,3,7]=>[5,2,8,1,4,6,3,7]
[7,6,1,8,3,4,5,2]=>[6,5,7,1,4,8,3,2]
[5,8,4,7,3,2,1,6]=>[2,3,7,8,5,1,4,6]
[8,5,4,2,7,3,1,6]=>[3,7,4,5,8,2,1,6]
[5,6,8,4,2,7,1,3]=>[7,4,1,8,5,6,2,3]
[4,3,8,6,1,2,5,7]=>[6,1,4,3,2,8,5,7]
[4,8,6,5,7,1,3,2]=>[7,3,1,4,6,8,5,2]
[7,2,3,5,6,8,4,1]=>[4,8,1,7,3,5,6,2]
[5,8,1,3,4,7,2,6]=>[8,7,1,3,5,2,4,6]
[4,7,1,8,6,3,2,5]=>[7,3,6,4,2,8,1,5]
[8,2,3,7,6,1,4,5]=>[6,7,1,2,4,8,3,5]
[7,2,3,5,6,1,8,4]=>[6,7,2,8,3,5,1,4]
[7,3,4,1,5,6,8,2]=>[4,8,7,3,1,5,6,2]
[8,3,4,2,7,6,1,5]=>[6,4,7,1,3,8,2,5]
[8,7,5,6,4,1,3,2]=>[4,3,1,6,7,5,8,2]
[8,7,4,2,3,6,5,1]=>[5,4,1,6,7,3,8,2]
[8,4,2,3,7,6,5,1]=>[5,4,2,6,7,8,3,1]
[7,2,4,5,3,1,6,8]=>[3,5,7,1,4,2,6,8]
[6,3,4,1,7,2,5,8]=>[4,7,6,3,2,1,5,8]
[7,4,2,6,3,5,8,1]=>[8,4,7,6,2,3,5,1]
[7,2,4,3,6,8,1,5]=>[8,7,4,2,1,3,6,5]
[4,6,2,8,5,3,1,7]=>[3,5,8,4,6,2,1,7]
[6,4,5,8,2,7,1,3]=>[7,8,1,6,4,5,2,3]
[6,5,3,2,1,7,4,8]=>[2,3,5,6,7,4,1,8]
[7,6,3,1,4,5,8,2]=>[3,6,7,1,4,8,5,2]
[7,2,4,1,5,6,8,3]=>[4,7,8,2,1,5,6,3]
[7,2,3,5,6,8,1,4]=>[8,7,2,1,3,5,6,4]
[1,6,7,3,4,8,2,5]=>[1,8,7,3,2,6,4,5]
[4,1,3,8,5,7,2,6]=>[4,7,1,3,8,2,5,6]
[3,7,4,6,2,1,8,5]=>[2,6,3,7,8,4,1,5]
[3,7,8,1,2,5,4,6]=>[8,1,3,5,2,4,7,6]
[5,1,3,6,4,7,8,2]=>[5,8,1,6,3,4,7,2]
[5,4,1,7,8,6,2,3]=>[4,5,1,6,2,8,7,3]
[5,3,4,7,8,1,6,2]=>[8,6,5,3,4,1,7,2]
[4,3,7,6,5,1,8,2]=>[5,6,4,3,7,8,1,2]
[2,4,1,7,3,6,5,8]=>[4,2,7,1,6,3,5,8]
[7,6,1,5,3,8,2,4]=>[6,7,5,1,2,8,3,4]
[5,1,4,8,2,3,7,6]=>[5,8,2,1,4,7,3,6]
[2,7,4,1,3,5,6,8]=>[4,2,1,7,3,5,6,8]
[6,7,8,4,5,1,3,2]=>[5,3,1,8,4,6,7,2]
[3,8,5,6,7,1,4,2]=>[7,4,3,1,8,5,6,2]
[7,5,6,1,4,2,3,8]=>[6,4,2,1,7,5,3,8]
[7,1,4,2,3,8,5,6]=>[7,4,2,1,8,5,3,6]
[3,2,8,5,4,1,6,7]=>[4,3,2,5,8,1,6,7]
[4,5,7,2,6,8,3,1]=>[3,8,7,4,5,1,6,2]
[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]
[8,1,2,7,3,5,4,6]=>[8,1,7,5,3,4,2,6]
[5,7,1,2,6,3,4,8]=>[7,1,6,3,5,2,4,8]
[1,2,7,5,6,3,4,8]=>[1,2,6,3,7,5,4,8]
[5,1,4,7,2,3,6,8]=>[5,7,2,1,4,3,6,8]
[4,8,1,2,3,6,5,7]=>[8,1,2,4,6,3,5,7]
[6,2,3,8,7,1,4,5]=>[7,6,2,1,4,3,8,5]
[8,2,3,6,4,7,5,1]=>[5,7,1,8,6,4,3,2]
[7,2,3,6,4,8,1,5]=>[8,7,2,6,1,3,4,5]
[4,5,1,3,2,6,8,7]=>[5,3,1,4,2,6,8,7]
[6,4,7,5,1,3,2,8]=>[5,3,1,7,6,2,4,8]
[5,3,1,6,2,7,8,4]=>[3,5,6,8,2,1,7,4]
[6,7,2,4,1,8,3,5]=>[4,7,8,2,3,6,1,5]
[5,1,6,3,2,7,8,4]=>[5,3,6,8,1,2,7,4]
[5,2,1,6,4,7,3,8]=>[2,5,7,6,1,4,3,8]
[5,4,1,6,2,7,8,3]=>[4,5,6,8,2,3,7,1]
[6,7,2,5,4,1,3,8]=>[4,5,2,7,1,6,3,8]
[7,1,4,2,5,8,3,6]=>[7,4,8,1,2,3,5,6]
[2,4,5,7,6,1,3,8]=>[6,2,1,4,5,7,3,8]
[6,3,5,7,4,1,8,2]=>[4,7,8,6,1,5,2,3]
[7,5,2,3,8,1,4,6]=>[8,5,2,1,7,4,3,6]
[5,1,3,6,7,8,4,2]=>[5,4,1,8,3,6,7,2]
[7,1,3,5,4,2,8,6]=>[7,4,1,5,3,8,2,6]
[7,4,5,2,1,8,3,6]=>[2,5,8,7,4,3,1,6]
[6,7,2,3,8,1,5,4]=>[8,7,2,5,1,6,3,4]
[7,6,8,2,4,5,3,1]=>[3,5,8,1,4,7,6,2]
[4,2,8,6,5,1,3,7]=>[5,4,1,2,6,8,3,7]
[3,8,5,4,7,1,2,6]=>[7,1,3,5,8,2,4,6]
[1,4,8,3,6,2,7,5]=>[1,6,8,4,7,3,2,5]
[6,3,2,4,8,7,1,5]=>[7,3,6,2,1,4,8,5]
[8,3,2,7,4,1,5,6]=>[4,3,7,8,2,5,1,6]
[7,3,2,6,5,8,1,4]=>[8,3,7,1,6,2,5,4]
[3,6,2,5,7,4,8,1]=>[8,6,3,7,2,5,4,1]
[2,7,1,5,8,6,4,3]=>[7,2,4,6,1,8,5,3]
[7,2,4,1,6,8,5,3]=>[4,7,5,2,8,1,6,3]
[6,4,7,2,3,8,5,1]=>[5,8,1,7,6,3,4,2]
[6,1,8,5,7,4,2,3]=>[6,4,2,7,8,1,5,3]
[7,1,4,3,6,5,8,2]=>[7,8,4,1,6,3,5,2]
[7,1,5,6,3,4,8,2]=>[7,8,6,3,1,5,4,2]
[6,1,8,5,4,7,3,2]=>[6,3,7,5,8,1,4,2]
[7,6,1,5,4,2,8,3]=>[6,4,5,7,2,8,3,1]
[5,1,6,8,7,2,4,3]=>[5,7,4,2,1,6,8,3]
[4,6,7,5,3,1,8,2]=>[3,5,7,4,8,6,1,2]
[5,3,2,6,8,7,4,1]=>[4,3,7,5,1,6,8,2]
[5,4,6,2,8,7,3,1]=>[3,7,6,5,4,1,8,2]
[4,5,8,6,7,2,3,1]=>[3,7,2,4,5,8,6,1]
[4,5,7,6,1,2,8,3]=>[6,1,7,4,5,8,3,2]
[4,6,5,7,2,1,8,3]=>[2,7,8,4,6,5,1,3]
[1,2,4,8,5,6,3,7]=>[1,2,6,4,8,5,3,7]
[1,8,3,4,2,6,5,7]=>[1,4,8,3,6,2,5,7]
[5,2,8,6,3,4,1,7]=>[4,5,6,3,2,8,1,7]
[5,2,4,6,7,1,8,3]=>[7,5,8,2,4,6,1,3]
[7,4,8,6,3,5,1,2]=>[5,1,6,8,4,7,3,2]
[8,3,4,6,1,5,7,2]=>[6,7,8,3,1,4,5,2]
[8,4,5,6,1,7,2,3]=>[6,7,2,8,4,5,1,3]
[7,1,5,4,2,3,8,6]=>[7,4,2,5,1,8,3,6]
[7,2,4,3,6,1,8,5]=>[6,7,4,2,8,3,1,5]
[6,2,4,8,5,7,3,1]=>[3,7,6,1,8,4,5,2]
[6,2,4,7,3,1,8,5]=>[3,7,6,1,8,4,2,5]
[6,1,8,4,2,5,7,3]=>[6,4,8,7,3,1,5,2]
[6,2,8,1,4,5,7,3]=>[8,6,7,1,4,2,5,3]
[6,4,8,1,5,2,7,3]=>[8,5,7,6,1,4,2,3]
[2,3,4,7,8,6,1,5]=>[6,2,3,4,1,8,7,5]
[3,4,8,7,5,1,2,6]=>[5,1,3,4,7,2,8,6]
[3,7,6,8,4,1,2,5]=>[4,1,3,8,2,7,6,5]
[5,8,6,4,2,7,3,1]=>[3,7,4,6,5,8,1,2]
[5,8,3,2,6,7,4,1]=>[4,3,7,8,5,1,6,2]
[6,3,7,1,4,2,8,5]=>[7,4,6,1,8,3,2,5]
[7,1,2,6,8,4,5,3]=>[7,1,5,8,4,2,6,3]
[8,5,3,1,6,7,2,4]=>[3,5,8,2,7,1,6,4]
[3,7,5,1,8,4,2,6]=>[5,4,3,7,8,1,2,6]
[8,2,4,6,7,3,1,5]=>[3,7,8,1,2,4,6,5]
[4,8,1,6,7,2,3,5]=>[8,7,2,4,3,1,6,5]
[4,7,2,1,5,8,3,6]=>[2,7,8,4,1,3,5,6]
[3,8,1,4,5,7,6,2]=>[8,6,3,1,4,7,5,2]
[5,7,2,1,3,4,8,6]=>[2,7,1,3,5,8,4,6]
[5,6,2,3,1,4,8,7]=>[3,6,2,1,5,4,8,7]
[4,7,3,1,5,8,2,6]=>[3,7,8,4,2,1,5,6]
[4,6,3,5,1,8,2,7]=>[5,8,6,4,3,1,2,7]
[5,3,4,6,1,2,8,7]=>[6,1,5,3,4,2,8,7]
[8,7,2,5,3,6,4,1]=>[4,6,7,5,3,1,8,2]
[8,5,7,6,2,3,4,1]=>[4,6,2,3,7,8,1,5]
[7,8,5,2,6,1,4,3]=>[6,5,4,1,8,2,7,3]
[3,5,1,4,8,7,6,2]=>[5,6,3,1,4,7,8,2]
[7,4,1,8,3,6,5,2]=>[4,7,5,6,8,3,2,1]
[6,5,3,7,4,8,1,2]=>[8,1,5,6,7,4,3,2]
[8,7,5,1,6,2,4,3]=>[5,7,4,1,6,2,8,3]
[2,7,4,6,8,1,5,3]=>[8,2,5,7,1,4,6,3]
[8,2,4,6,5,1,7,3]=>[5,6,8,3,7,4,2,1]
[1,8,4,6,5,2,7,3]=>[1,5,6,7,8,2,3,4]
[3,4,6,7,8,2,5,1]=>[5,8,3,4,2,6,7,1]
[2,5,6,7,3,8,1,4]=>[8,2,7,1,5,6,3,4]
[1,7,5,4,6,8,3,2]=>[1,3,8,5,7,4,6,2]
[5,2,3,7,8,6,1,4]=>[6,5,2,1,3,8,7,4]
[7,2,6,4,8,5,3,1]=>[3,5,8,7,6,4,2,1]
[2,8,3,4,7,1,6,5]=>[7,2,8,3,6,1,4,5]
[1,2,8,5,7,6,3,4]=>[1,2,6,3,7,8,4,5]
[6,8,2,3,7,4,5,1]=>[5,8,2,7,4,6,3,1]
[5,7,1,4,3,6,8,2]=>[7,8,4,1,5,3,6,2]
[5,8,4,6,2,1,7,3]=>[2,6,7,8,5,4,1,3]
[3,8,2,6,7,4,1,5]=>[4,7,3,8,2,1,6,5]
[1,6,8,3,4,7,2,5]=>[1,7,8,3,2,6,4,5]
[2,4,7,5,8,6,3,1]=>[3,2,6,4,8,7,1,5]
[5,7,4,6,2,3,8,1]=>[8,6,2,7,5,4,3,1]
[2,6,8,3,4,1,7,5]=>[4,2,8,3,7,6,1,5]
[1,6,8,3,4,2,7,5]=>[1,4,8,3,7,6,2,5]
[1,5,8,4,2,3,7,6]=>[1,4,2,8,5,7,3,6]
[4,1,7,6,2,8,3,5]=>[4,6,7,1,2,8,3,5]
[4,1,8,2,7,5,3,6]=>[4,8,5,1,7,3,2,6]
[4,1,7,2,8,5,3,6]=>[4,7,5,1,8,3,2,6]
[2,5,6,3,7,4,8,1]=>[8,2,6,7,5,3,4,1]
[2,6,5,3,8,4,7,1]=>[7,2,5,6,8,4,3,1]
[2,6,5,3,7,4,8,1]=>[8,2,5,6,7,4,3,1]
[7,1,6,3,5,4,8,2]=>[7,8,6,5,3,1,4,2]
[5,7,3,2,8,4,1,6]=>[4,3,8,7,5,2,1,6]
[2,8,6,1,7,5,3,4]=>[6,2,5,1,8,7,3,4]
[8,1,5,2,7,4,3,6]=>[8,5,4,7,1,3,2,6]
[7,1,4,2,8,5,3,6]=>[7,4,5,1,8,3,2,6]
[2,6,8,1,7,5,3,4]=>[8,2,5,3,7,6,1,4]
[1,4,6,5,3,8,2,7]=>[1,8,5,4,6,3,2,7]
[2,4,5,8,7,1,3,6]=>[7,2,1,4,5,3,8,6]
[3,1,6,8,7,5,4,2]=>[3,4,1,5,7,6,8,2]
[3,1,8,7,5,6,4,2]=>[3,4,1,6,7,5,8,2]
[5,1,8,7,6,3,4,2]=>[5,4,6,3,1,7,8,2]
[8,2,7,5,3,6,4,1]=>[4,6,8,5,7,1,3,2]
[8,7,2,3,1,5,6,4]=>[3,7,2,6,1,5,8,4]
[2,8,5,7,6,1,3,4]=>[6,2,1,3,7,8,4,5]
[1,8,7,2,6,4,5,3]=>[1,7,5,6,4,2,8,3]
[8,7,2,1,6,4,5,3]=>[2,7,5,6,4,1,8,3]
[1,8,4,7,6,2,5,3]=>[1,6,5,7,4,8,2,3]
[8,7,1,6,4,3,5,2]=>[7,5,4,6,3,1,8,2]
[8,4,1,7,3,6,5,2]=>[4,8,5,6,7,3,2,1]
[5,4,3,1,8,2,6,7]=>[3,4,5,8,1,2,6,7]
[1,3,5,8,4,2,6,7]=>[1,4,3,8,5,2,6,7]
[4,3,8,1,7,5,2,6]=>[8,5,4,3,7,2,1,6]
[3,7,8,2,1,5,6,4]=>[2,8,3,6,1,5,7,4]
[3,7,1,4,6,2,5,8]=>[7,6,3,1,2,4,5,8]
[8,2,5,7,1,6,4,3]=>[7,8,4,6,2,1,5,3]
[8,3,6,2,1,5,4,7]=>[2,6,8,5,1,3,4,7]
[1,6,8,2,7,4,3,5]=>[1,8,4,7,3,6,2,5]
[4,7,2,3,6,8,5,1]=>[5,8,1,4,7,3,6,2]
[4,5,2,3,7,8,6,1]=>[6,5,2,4,3,8,7,1]
[4,3,8,6,1,7,5,2]=>[6,5,4,3,8,7,2,1]
[8,5,2,3,4,7,6,1]=>[6,5,1,3,7,8,4,2]
[6,3,8,1,4,5,7,2]=>[8,7,6,1,4,3,5,2]
[6,4,1,7,3,5,2,8]=>[4,6,5,7,1,2,3,8]
[6,4,1,7,3,5,8,2]=>[4,6,8,7,1,2,5,3]
[4,3,8,5,2,7,6,1]=>[6,5,4,3,7,8,1,2]
[2,4,6,7,3,5,1,8]=>[5,2,7,4,3,6,1,8]
[6,5,2,3,4,8,7,1]=>[7,5,2,3,6,4,8,1]
[1,7,3,6,8,2,5,4]=>[1,8,7,5,2,3,6,4]
[4,3,7,6,2,5,8,1]=>[8,6,4,3,2,7,5,1]
[3,4,5,8,7,2,6,1]=>[6,7,3,4,5,2,8,1]
[4,5,1,8,7,3,6,2]=>[5,6,7,4,1,3,8,2]
[6,4,2,5,7,8,1,3]=>[8,4,1,6,2,5,7,3]
[3,8,4,6,2,7,5,1]=>[5,7,3,6,8,1,4,2]
[3,8,5,2,6,7,4,1]=>[4,7,3,5,8,1,6,2]
[5,4,1,6,7,3,8,2]=>[4,5,8,7,2,6,1,3]
[2,6,5,8,3,4,7,1]=>[7,2,8,3,6,5,4,1]
[4,3,8,5,2,6,1,7]=>[6,5,4,3,8,2,1,7]
[3,6,5,4,1,8,2,7]=>[4,5,3,6,8,1,2,7]
[3,6,4,7,5,2,1,8]=>[2,5,3,7,6,1,4,8]
[8,5,4,7,3,1,6,2]=>[3,7,6,5,8,2,4,1]
[2,8,4,5,3,1,7,6]=>[3,2,5,8,4,7,1,6]
[7,2,5,3,4,1,8,6]=>[4,7,5,3,2,8,1,6]
[2,6,5,4,1,8,7,3]=>[4,2,5,6,7,1,8,3]
[2,6,5,4,1,7,3,8]=>[4,2,5,6,7,1,3,8]
[5,6,4,1,2,8,7,3]=>[4,1,6,7,5,3,8,2]
[7,6,4,1,5,8,3,2]=>[4,3,6,7,1,8,5,2]
[5,7,4,1,2,6,8,3]=>[4,1,7,8,5,3,6,2]
[6,7,4,1,5,2,3,8]=>[4,7,1,5,2,6,3,8]
[2,8,6,7,5,3,1,4]=>[3,2,5,1,7,8,6,4]
[7,4,5,2,6,3,1,8]=>[3,6,5,7,4,1,2,8]
[8,6,3,4,5,1,7,2]=>[5,7,6,3,4,8,1,2]
[8,6,3,5,4,1,7,2]=>[4,5,7,6,1,8,2,3]
[8,7,4,5,1,3,6,2]=>[5,6,1,7,4,3,8,2]
[8,6,2,5,3,1,4,7]=>[3,5,6,2,1,8,4,7]
[8,4,7,3,1,2,5,6]=>[3,1,7,8,2,5,4,6]
[8,7,3,5,1,6,4,2]=>[5,4,6,7,2,1,8,3]
[4,8,3,2,6,1,7,5]=>[6,3,8,4,7,2,1,5]
[4,3,7,6,1,5,2,8]=>[6,5,4,3,1,7,2,8]
[7,5,4,3,6,1,8,2]=>[6,8,4,5,7,3,1,2]
[4,6,8,5,3,1,2,7]=>[3,1,5,4,8,6,2,7]
[5,6,8,4,3,7,2,1]=>[2,7,4,8,5,6,3,1]
[7,5,8,4,2,1,6,3]=>[2,4,8,6,7,3,5,1]
[1,4,8,7,6,2,5,3]=>[1,6,5,4,2,7,8,3]
[7,2,4,1,5,3,8,6]=>[4,7,5,2,1,8,3,6]
[8,5,3,4,1,7,2,6]=>[4,7,5,3,8,2,1,6]
[2,8,5,4,3,6,1,7]=>[6,2,4,5,8,3,1,7]
[8,6,5,3,1,2,7,4]=>[3,1,5,6,8,7,2,4]
[7,4,6,5,3,2,8,1]=>[8,3,5,6,7,2,4,1]
[5,6,7,2,3,8,4,1]=>[4,8,1,7,5,6,3,2]
[8,4,2,6,5,7,3,1]=>[3,7,4,8,6,1,5,2]
[1,7,4,2,8,5,6,3]=>[1,4,7,6,8,5,3,2]
[3,2,1,7,4,6,8,5]=>[2,3,1,7,8,4,6,5]
[6,2,5,7,1,4,3,8]=>[7,6,4,1,2,5,3,8]
[4,8,5,3,1,2,6,7]=>[3,1,5,4,8,2,6,7]
[8,5,2,4,6,1,3,7]=>[6,5,1,2,8,4,3,7]
[1,5,3,4,7,2,6,8]=>[1,7,5,3,4,2,6,8]
[8,4,6,1,5,7,3,2]=>[6,3,7,8,1,4,5,2]
[6,4,7,2,1,3,8,5]=>[2,7,1,6,8,4,3,5]
[6,7,3,1,2,4,8,5]=>[3,1,7,2,8,6,4,5]
[3,1,8,7,6,2,5,4]=>[3,6,1,5,2,7,8,4]
[1,3,8,6,7,2,5,4]=>[1,7,3,5,2,8,6,4]
[5,2,3,6,1,8,4,7]=>[6,5,2,8,3,1,4,7]
[3,2,6,4,7,1,5,8]=>[7,3,2,6,1,4,5,8]
[3,6,2,5,7,8,4,1]=>[4,8,3,6,1,5,7,2]
[2,7,4,6,8,3,5,1]=>[5,2,8,7,3,4,6,1]
[3,7,6,8,1,5,4,2]=>[8,4,3,5,1,7,6,2]
[1,5,7,6,8,4,2,3]=>[1,4,2,8,5,7,6,3]
[2,7,4,6,8,5,3,1]=>[3,2,5,8,7,1,6,4]
[3,7,6,8,5,1,4,2]=>[5,4,3,1,8,7,6,2]
[7,1,3,8,6,2,4,5]=>[7,6,1,2,4,8,3,5]
[2,7,1,8,6,5,3,4]=>[7,2,5,3,6,8,1,4]
[6,2,3,4,1,5,8,7]=>[4,6,2,3,1,5,8,7]
[8,1,6,5,4,3,7,2]=>[8,7,4,5,6,1,3,2]
[8,1,5,2,6,4,7,3]=>[8,5,7,6,1,2,4,3]
[4,1,7,2,5,3,6,8]=>[4,7,5,1,2,3,6,8]
[5,3,4,1,8,6,2,7]=>[4,6,5,3,1,8,2,7]
[1,7,3,6,2,4,8,5]=>[1,6,7,2,8,3,4,5]
[4,6,7,5,1,2,3,8]=>[5,1,2,4,7,6,3,8]
[4,3,8,5,2,1,7,6]=>[2,5,4,3,8,7,1,6]
[5,3,4,7,6,2,1,8]=>[2,6,5,3,4,7,1,8]
[6,3,4,7,5,1,2,8]=>[5,1,7,2,6,4,3,8]
[5,3,4,6,1,7,2,8]=>[6,7,5,3,4,1,2,8]
[6,3,4,8,2,1,7,5]=>[2,8,6,3,7,4,1,5]
[5,2,4,6,3,1,7,8]=>[3,6,5,1,4,2,7,8]
[7,2,5,6,8,1,4,3]=>[8,7,4,1,2,5,6,3]
[3,1,5,8,4,7,2,6]=>[3,7,1,8,5,2,4,6]
[8,2,1,4,5,7,3,6]=>[2,8,7,1,4,3,5,6]
[8,7,5,2,6,4,1,3]=>[4,6,2,5,7,1,8,3]
[8,2,1,4,3,6,7,5]=>[2,8,4,1,7,3,6,5]
[8,2,1,4,7,6,5,3]=>[2,8,5,1,6,7,4,3]
[4,1,8,5,7,2,6,3]=>[4,7,6,1,8,2,5,3]
[4,1,8,2,7,5,6,3]=>[4,8,6,1,7,5,2,3]
[7,6,8,2,4,3,5,1]=>[5,8,4,2,3,7,6,1]
[7,4,5,3,8,1,6,2]=>[8,6,5,7,4,1,3,2]
[7,3,6,1,4,2,8,5]=>[6,4,7,1,8,3,2,5]
[6,4,2,3,8,7,1,5]=>[7,4,2,6,1,3,8,5]
[1,3,8,6,5,7,2,4]=>[1,7,3,2,6,8,5,4]
[5,1,7,2,4,8,6,3]=>[5,7,6,2,1,8,4,3]
[7,3,8,2,4,6,5,1]=>[5,6,8,3,7,4,1,2]
[5,1,3,7,8,4,6,2]=>[5,6,1,8,3,4,7,2]
[6,5,8,4,1,3,2,7]=>[4,3,1,8,6,5,2,7]
[4,8,2,3,6,5,1,7]=>[5,6,1,4,8,3,2,7]
[4,2,5,8,1,6,3,7]=>[8,4,6,2,5,1,3,7]
[8,7,2,6,4,5,1,3]=>[5,7,1,6,4,2,8,3]
[5,4,8,2,3,1,6,7]=>[3,8,2,5,4,1,6,7]
[2,6,4,8,3,5,1,7]=>[5,2,8,6,3,4,1,7]
[1,4,8,5,3,2,7,6]=>[1,3,5,4,8,7,2,6]
[3,5,8,4,6,7,1,2]=>[7,1,3,8,5,4,6,2]
[1,2,4,8,5,7,3,6]=>[1,2,7,4,8,3,5,6]
[7,3,4,1,8,2,5,6]=>[4,8,7,3,2,5,1,6]
[5,6,3,1,8,2,4,7]=>[3,6,8,1,5,2,4,7]
[7,3,6,5,1,8,4,2]=>[5,4,6,8,7,1,3,2]
[5,7,2,1,4,8,6,3]=>[2,7,6,1,5,8,4,3]
[7,6,3,5,2,1,8,4]=>[2,5,6,7,4,8,1,3]
[3,6,5,2,7,1,8,4]=>[7,5,3,6,8,4,1,2]
[3,5,7,4,1,8,6,2]=>[4,7,3,6,5,8,2,1]
[6,5,7,2,1,3,8,4]=>[2,7,1,8,6,5,3,4]
[5,1,2,7,6,4,8,3]=>[5,1,8,6,2,7,4,3]
[4,1,2,6,7,5,8,3]=>[4,1,8,2,7,6,5,3]
[4,3,2,6,8,7,1,5]=>[7,3,4,2,1,6,8,5]
[4,3,2,7,8,5,6,1]=>[6,3,4,2,8,5,7,1]
[7,5,6,4,1,8,3,2]=>[4,3,6,8,7,5,2,1]
[7,1,3,5,6,8,4,2]=>[7,4,1,8,3,5,6,2]
[7,1,3,5,6,8,2,4]=>[7,8,1,2,3,5,6,4]
[2,5,4,3,8,1,7,6]=>[8,2,4,5,3,7,1,6]
[3,1,2,8,4,6,5,7]=>[3,1,2,8,6,4,5,7]
[2,5,4,3,8,6,1,7]=>[6,2,4,5,3,8,1,7]
[6,2,8,1,7,4,3,5]=>[8,6,4,7,3,2,1,5]
[3,8,5,7,4,2,6,1]=>[6,4,3,7,8,2,5,1]
[5,4,8,3,1,2,7,6]=>[3,1,8,5,4,7,2,6]
[5,3,7,4,1,8,2,6]=>[4,7,8,5,1,3,2,6]
[5,1,7,4,6,3,8,2]=>[5,8,6,7,1,4,3,2]
[7,6,2,8,1,3,5,4]=>[8,6,1,5,3,7,2,4]
[7,1,4,6,8,5,3,2]=>[7,3,5,1,8,4,6,2]
[7,2,5,1,6,4,8,3]=>[5,7,8,6,2,1,4,3]
[2,7,1,5,6,4,8,3]=>[7,2,8,6,1,5,4,3]
[1,5,7,8,4,6,3,2]=>[1,3,6,8,5,4,7,2]
[1,4,8,5,7,6,3,2]=>[1,3,6,4,7,8,2,5]
[2,8,1,5,6,4,7,3]=>[8,2,7,6,1,5,4,3]
[3,7,2,8,1,5,6,4]=>[8,7,3,6,1,5,2,4]
[7,3,2,5,1,6,8,4]=>[5,3,7,8,2,1,6,4]
[8,7,2,1,3,6,5,4]=>[2,7,1,5,6,3,8,4]
[7,3,2,8,1,4,6,5]=>[8,3,7,1,6,4,2,5]
[3,6,2,1,8,4,7,5]=>[2,6,3,8,7,1,4,5]
[3,5,1,7,6,4,8,2]=>[5,8,3,6,1,7,4,2]
[8,7,4,2,1,6,5,3]=>[2,4,7,5,6,3,8,1]
[5,4,7,6,2,1,8,3]=>[2,6,7,5,4,8,3,1]
[3,5,2,8,7,1,6,4]=>[7,5,3,6,2,1,8,4]
[3,7,6,5,4,1,8,2]=>[4,5,3,6,7,8,2,1]
[4,6,5,3,1,8,7,2]=>[3,5,6,4,7,1,8,2]
[8,6,4,5,1,3,2,7]=>[5,3,1,6,4,8,2,7]
[8,6,7,4,3,1,5,2]=>[3,4,7,5,1,8,6,2]
[4,7,1,8,5,3,2,6]=>[7,3,5,4,8,2,1,6]
[5,1,8,4,3,6,2,7]=>[5,6,4,8,1,3,2,7]
[8,6,7,1,4,3,5,2]=>[7,5,4,1,3,8,6,2]
[8,6,7,2,1,3,5,4]=>[2,7,1,5,3,8,6,4]
[8,6,4,5,7,1,3,2]=>[7,3,1,6,4,8,5,2]
[6,7,5,1,8,3,2,4]=>[5,3,7,1,8,6,2,4]
[8,7,3,2,6,5,4,1]=>[4,3,5,6,7,2,8,1]
[8,7,2,3,1,4,6,5]=>[3,7,2,1,6,4,8,5]
[8,5,1,6,4,7,3,2]=>[5,3,8,7,6,2,1,4]
[8,3,4,1,2,7,6,5]=>[4,1,8,3,6,7,2,5]
[8,5,6,1,7,4,2,3]=>[6,4,2,7,8,5,1,3]
[4,1,6,8,2,7,5,3]=>[4,8,5,1,7,6,2,3]
[5,4,1,3,8,7,6,2]=>[4,5,2,6,3,7,8,1]
[6,4,1,2,5,7,8,3]=>[4,1,6,8,3,5,7,2]
[6,1,5,4,2,7,3,8]=>[6,4,5,7,1,3,2,8]
[6,4,2,3,1,7,5,8]=>[3,4,2,6,7,1,5,8]
[3,4,6,1,8,2,7,5]=>[6,8,3,4,7,1,2,5]
[5,3,1,4,7,6,2,8]=>[3,5,6,2,4,7,1,8]
[6,4,5,2,7,1,3,8]=>[7,5,1,6,4,2,3,8]
[7,4,3,5,1,6,2,8]=>[5,6,4,7,3,1,2,8]
[7,5,3,6,2,1,4,8]=>[2,6,5,1,7,3,4,8]
[6,4,3,7,1,8,2,5]=>[7,8,4,6,2,3,1,5]
[3,1,2,7,6,4,5,8]=>[3,1,2,6,4,7,5,8]
[5,1,2,7,6,3,4,8]=>[5,1,6,3,2,7,4,8]
[5,6,1,7,2,4,3,8]=>[6,7,4,2,5,1,3,8]
[3,5,6,8,1,2,7,4]=>[8,1,3,7,5,6,2,4]
[2,6,5,7,1,3,4,8]=>[7,2,1,3,6,5,4,8]
[2,3,7,1,5,6,4,8]=>[7,2,3,6,1,5,4,8]
[2,6,5,3,4,1,7,8]=>[4,2,5,3,6,1,7,8]
[2,6,1,3,5,4,7,8]=>[6,2,1,5,3,4,7,8]
[4,6,1,5,2,8,7,3]=>[6,5,7,4,1,2,8,3]
[6,1,5,4,2,7,8,3]=>[6,4,5,8,1,3,7,2]
[4,6,1,5,2,7,8,3]=>[6,5,8,4,1,2,7,3]
[2,8,6,5,1,3,7,4]=>[5,2,1,6,8,7,3,4]
[5,1,8,6,2,7,4,3]=>[5,6,4,8,1,7,3,2]
[3,6,8,2,7,5,1,4]=>[5,7,3,2,8,6,1,4]
[5,6,4,1,7,2,8,3]=>[4,6,7,8,5,2,3,1]
[1,4,5,3,8,7,2,6]=>[1,7,5,4,3,2,8,6]
[1,4,5,3,6,8,2,7]=>[1,8,5,4,3,6,2,7]
[3,4,1,6,8,5,7,2]=>[4,7,3,1,8,6,5,2]
[3,8,6,1,5,7,4,2]=>[6,4,3,8,2,7,5,1]
[8,6,7,1,3,5,4,2]=>[7,4,1,5,3,8,6,2]
[3,4,1,6,7,5,8,2]=>[4,8,3,1,7,6,5,2]
[3,5,8,2,1,6,4,7]=>[2,8,3,6,5,1,4,7]
[6,1,3,8,5,7,4,2]=>[6,4,1,7,8,3,5,2]
[8,1,6,3,4,2,5,7]=>[8,4,6,3,2,1,5,7]
[3,4,1,5,8,7,6,2]=>[4,6,3,1,5,7,8,2]
[3,4,1,5,7,8,6,2]=>[4,6,3,1,5,8,7,2]
[3,4,1,5,8,6,7,2]=>[4,7,3,1,5,8,6,2]
[2,5,8,3,6,1,7,4]=>[6,2,8,7,5,3,1,4]
[5,1,6,2,4,7,3,8]=>[5,6,7,2,1,4,3,8]
[6,1,4,7,2,5,3,8]=>[6,7,5,1,2,4,3,8]
[2,5,7,3,6,1,4,8]=>[6,2,7,1,5,3,4,8]
[7,4,2,3,1,6,8,5]=>[3,4,2,7,8,1,6,5]
[3,7,4,5,1,8,2,6]=>[5,8,3,7,4,2,1,6]
[6,7,2,5,4,3,8,1]=>[8,7,4,5,2,6,3,1]
[2,3,5,6,8,4,1,7]=>[4,2,3,8,5,6,1,7]
[3,7,5,6,4,1,2,8]=>[4,1,3,6,7,5,2,8]
[6,7,1,5,3,4,2,8]=>[7,4,5,3,1,6,2,8]
[5,4,2,3,7,1,6,8]=>[7,4,2,5,3,1,6,8]
[6,4,3,7,1,8,5,2]=>[7,5,4,8,6,2,1,3]
[7,3,1,6,2,4,5,8]=>[3,7,6,1,4,2,5,8]
[6,4,2,3,7,8,1,5]=>[8,4,2,6,1,3,7,5]
[4,3,6,2,5,8,1,7]=>[8,6,4,3,2,5,1,7]
[1,6,7,2,8,5,3,4]=>[1,7,5,3,8,6,2,4]
[1,6,4,5,7,3,2,8]=>[1,3,7,6,4,5,2,8]
[1,6,4,5,7,2,8,3]=>[1,7,8,6,4,5,2,3]
[1,7,5,6,4,8,3,2]=>[1,3,8,6,7,5,4,2]
[1,5,6,7,3,2,4,8]=>[1,3,7,2,5,6,4,8]
[3,1,5,4,2,7,8,6]=>[3,4,1,5,2,8,7,6]
[4,3,5,7,8,1,2,6]=>[8,1,4,3,5,2,7,6]
[6,3,5,4,1,7,2,8]=>[4,5,7,6,1,2,3,8]
[5,4,7,2,6,3,1,8]=>[3,6,7,5,4,1,2,8]
[5,4,1,6,8,3,2,7]=>[4,3,5,8,2,6,1,7]
[5,4,1,3,7,6,2,8]=>[4,5,2,6,3,7,1,8]
[5,4,7,6,1,3,2,8]=>[6,3,1,5,4,7,2,8]
[7,4,6,5,8,3,1,2]=>[3,1,8,7,6,4,5,2]
[8,2,7,6,1,5,3,4]=>[6,7,5,3,2,8,1,4]
[1,4,6,5,8,3,2,7]=>[1,3,8,4,6,5,2,7]
[4,3,1,6,8,5,2,7]=>[3,4,5,2,8,6,1,7]
[4,3,1,5,7,6,2,8]=>[3,4,6,2,5,7,1,8]
[5,2,4,3,8,7,1,6]=>[7,5,4,2,3,1,8,6]
[3,2,8,4,1,7,5,6]=>[4,3,2,8,7,5,1,6]
[8,2,4,3,1,7,5,6]=>[3,4,8,1,7,5,2,6]
[8,2,1,4,3,7,5,6]=>[2,8,4,1,7,5,3,6]
[7,6,8,2,1,5,3,4]=>[2,8,5,3,1,7,6,4]
[5,4,6,7,2,1,8,3]=>[2,7,8,5,4,6,1,3]
[6,7,2,5,4,1,8,3]=>[4,5,7,8,3,6,2,1]
[3,1,8,4,7,5,6,2]=>[3,6,1,8,7,5,4,2]
[8,6,2,5,1,3,7,4]=>[5,6,1,8,4,7,3,2]
[3,8,2,4,1,6,5,7]=>[4,8,3,2,6,1,5,7]
[2,4,3,5,8,6,1,7]=>[6,2,4,3,5,8,1,7]
[8,4,3,1,5,2,6,7]=>[3,4,8,5,1,2,6,7]
[7,1,6,8,3,2,4,5]=>[7,3,8,2,4,1,6,5]
[7,8,3,6,1,2,5,4]=>[6,1,8,5,2,3,7,4]
[7,2,8,6,1,3,5,4]=>[6,8,2,5,3,7,1,4]
[5,7,2,6,4,1,8,3]=>[4,6,7,8,5,3,2,1]
[8,1,7,6,2,3,5,4]=>[8,6,2,5,3,7,1,4]
[7,4,3,1,6,8,2,5]=>[3,4,7,8,2,1,6,5]
[4,5,6,1,3,8,2,7]=>[6,8,1,4,5,3,2,7]
[6,3,5,7,4,2,8,1]=>[8,4,7,6,2,5,3,1]
[7,6,4,8,5,3,1,2]=>[3,1,5,8,6,7,2,4]
[8,2,1,6,4,7,3,5]=>[2,8,7,6,3,1,4,5]
[1,3,8,6,5,2,7,4]=>[1,5,3,6,8,7,2,4]
[2,7,3,8,5,6,4,1]=>[4,2,6,7,8,5,1,3]
[1,2,8,5,7,4,6,3]=>[1,2,6,7,8,4,5,3]
[1,6,8,5,4,7,2,3]=>[1,7,2,5,8,6,4,3]
[3,8,4,5,6,7,1,2]=>[7,1,3,8,4,5,6,2]
[2,1,3,7,4,6,8,5]=>[2,1,3,7,8,4,6,5]
[5,7,1,8,3,2,6,4]=>[7,3,8,6,5,2,1,4]
[7,2,4,1,8,6,5,3]=>[4,7,5,2,6,8,1,3]
[7,2,3,5,1,6,4,8]=>[5,7,2,6,3,1,4,8]
[2,1,3,8,6,4,7,5]=>[2,1,3,6,8,7,5,4]
[7,4,8,1,3,2,5,6]=>[8,3,1,7,2,5,4,6]
[4,7,6,1,3,2,5,8]=>[6,3,1,4,2,7,5,8]
[8,2,5,4,3,7,1,6]=>[7,8,4,5,2,1,3,6]
[5,8,4,3,7,6,2,1]=>[2,6,4,7,5,8,1,3]
[8,1,5,3,4,7,2,6]=>[8,7,5,3,1,2,4,6]
[6,1,8,7,4,5,3,2]=>[6,3,5,7,4,1,8,2]
[1,5,8,6,4,3,7,2]=>[1,7,4,6,5,8,3,2]
[5,8,6,4,2,1,7,3]=>[2,4,6,8,5,7,1,3]
[2,6,1,8,4,7,5,3]=>[6,2,5,7,8,1,3,4]
[5,3,8,6,1,2,7,4]=>[6,1,5,8,3,7,4,2]
[5,8,1,4,6,2,7,3]=>[8,6,7,1,5,4,2,3]
[3,7,6,2,1,4,8,5]=>[2,6,3,1,7,8,5,4]
[4,6,2,3,7,1,8,5]=>[7,6,2,4,8,3,1,5]
[6,8,7,5,1,3,4,2]=>[5,4,1,3,7,6,8,2]
[6,4,3,2,7,8,5,1]=>[5,3,4,8,6,1,7,2]
[2,7,6,1,5,3,8,4]=>[6,2,5,7,4,8,3,1]
[7,8,6,4,2,5,3,1]=>[3,5,4,6,1,8,7,2]
[6,4,5,8,7,1,3,2]=>[7,3,1,6,4,5,8,2]
[6,4,1,7,8,3,2,5]=>[4,3,6,8,1,2,7,5]
[7,5,6,3,2,1,8,4]=>[2,3,6,8,7,5,1,4]
[7,5,6,2,3,1,8,4]=>[3,6,2,8,7,5,1,4]
[1,7,4,6,2,5,8,3]=>[1,6,8,7,2,4,5,3]
[7,5,2,3,6,1,8,4]=>[6,5,2,7,8,4,1,3]
[7,5,3,6,2,1,8,4]=>[2,6,5,7,8,4,1,3]
[6,5,7,1,4,2,8,3]=>[7,4,8,1,6,5,2,3]
[3,8,2,5,7,6,1,4]=>[6,7,3,2,1,8,5,4]
[3,8,1,2,7,5,6,4]=>[8,1,3,6,7,5,2,4]
[7,5,2,6,1,3,8,4]=>[6,5,1,7,8,4,3,2]
[7,6,3,2,1,4,8,5]=>[2,3,6,1,7,8,5,4]
[7,5,2,1,6,3,8,4]=>[2,5,7,6,8,3,4,1]
[5,3,8,2,7,4,6,1]=>[6,8,5,7,3,4,2,1]
[6,2,8,5,3,7,4,1]=>[4,7,6,5,8,3,1,2]
[6,1,3,2,5,8,4,7]=>[6,3,1,8,2,5,4,7]
[7,1,5,4,2,6,8,3]=>[7,4,5,8,1,3,6,2]
[6,2,8,4,3,5,7,1]=>[7,6,4,8,3,2,5,1]
[4,2,7,3,6,1,5,8]=>[6,4,7,2,1,3,5,8]
[6,2,8,5,3,7,1,4]=>[7,6,5,1,8,2,3,4]
[4,3,2,8,7,5,1,6]=>[5,3,4,2,7,1,8,6]
[6,4,2,1,5,7,8,3]=>[2,4,6,8,3,5,7,1]
[6,3,2,8,4,7,5,1]=>[5,3,7,6,8,4,1,2]
[6,4,3,8,7,2,5,1]=>[5,7,4,6,2,3,8,1]
[5,4,7,2,1,3,8,6]=>[2,7,1,5,4,8,3,6]
[6,5,3,2,7,8,4,1]=>[4,3,8,5,6,1,7,2]
[2,6,4,5,7,1,8,3]=>[7,2,8,6,4,5,1,3]
[3,7,4,6,1,5,8,2]=>[6,8,3,7,1,4,5,2]
[3,4,6,5,2,8,1,7]=>[8,5,3,4,6,2,1,7]
[4,6,7,5,8,2,1,3]=>[2,8,1,4,7,6,5,3]
[5,6,3,1,4,7,2,8]=>[3,6,7,2,5,4,1,8]
[2,7,8,3,5,6,4,1]=>[4,2,6,8,1,5,7,3]
[2,3,5,8,4,7,6,1]=>[6,2,3,7,5,8,1,4]
[8,2,6,5,1,4,7,3]=>[5,6,8,2,7,3,4,1]
[5,6,3,1,8,4,2,7]=>[3,6,4,8,5,2,1,7]
[7,3,2,8,4,5,6,1]=>[6,3,7,8,4,5,2,1]
[7,4,1,8,3,6,2,5]=>[4,7,6,8,3,1,2,5]
[7,1,6,4,3,8,2,5]=>[7,8,4,6,2,1,3,5]
[6,7,2,1,4,8,3,5]=>[2,7,8,1,3,6,4,5]
[2,5,7,6,4,1,8,3]=>[4,2,6,7,5,8,1,3]
[8,6,7,3,2,5,4,1]=>[4,3,5,7,1,8,6,2]
[5,1,4,6,2,7,8,3]=>[5,6,8,1,4,2,7,3]
[1,2,5,3,7,8,6,4]=>[1,2,5,6,3,8,7,4]
[4,8,3,5,1,2,7,6]=>[5,1,8,4,3,7,2,6]
[6,1,3,7,2,8,4,5]=>[6,7,1,8,4,3,2,5]
[3,8,5,4,1,7,2,6]=>[4,5,3,8,7,2,1,6]
[3,1,5,8,2,6,7,4]=>[3,8,1,7,5,2,6,4]
[2,8,5,3,1,7,4,6]=>[3,2,5,8,7,1,4,6]
[6,5,2,3,7,1,8,4]=>[7,5,2,6,8,4,1,3]
[7,2,1,6,4,8,3,5]=>[2,7,8,6,3,1,4,5]
[2,1,3,7,5,8,4,6]=>[2,1,3,8,7,4,5,6]
[6,2,4,5,7,1,8,3]=>[7,6,8,2,4,5,1,3]
[2,3,8,7,1,4,6,5]=>[7,2,3,1,6,4,8,5]
[4,2,7,5,6,8,1,3]=>[8,4,1,2,7,5,6,3]
[1,4,7,6,5,2,3,8]=>[1,5,2,4,6,7,3,8]
[2,7,3,5,1,4,6,8]=>[5,2,7,1,3,4,6,8]
[2,7,8,3,5,1,4,6]=>[5,2,8,1,3,4,7,6]
[7,4,5,1,3,6,8,2]=>[5,8,1,7,4,3,6,2]
[8,2,7,4,5,1,3,6]=>[5,8,1,7,4,3,2,6]
[2,4,1,3,7,6,5,8]=>[4,2,1,3,6,7,5,8]
[6,2,5,4,7,3,1,8]=>[3,7,6,5,1,4,2,8]
[2,6,7,4,1,3,5,8]=>[4,2,1,7,3,6,5,8]
[6,7,4,1,3,5,8,2]=>[4,7,2,8,3,6,5,1]
[7,2,8,3,5,6,4,1]=>[4,6,7,8,1,5,3,2]
[6,8,2,5,4,7,3,1]=>[3,7,8,5,1,6,4,2]
[5,6,8,1,4,7,3,2]=>[8,3,7,1,5,6,4,2]
[7,1,3,8,6,5,2,4]=>[7,5,1,2,6,8,3,4]
[6,3,4,1,8,2,5,7]=>[4,8,6,3,2,1,5,7]
[5,1,8,7,3,6,2,4]=>[5,6,7,2,1,3,8,4]
[2,7,6,3,8,4,5,1]=>[5,2,6,7,3,8,4,1]
[4,6,8,2,3,1,7,5]=>[3,8,2,4,7,6,1,5]
[4,7,2,3,5,1,8,6]=>[5,7,2,4,3,8,1,6]
[6,4,2,1,3,7,5,8]=>[2,4,1,6,7,3,5,8]
[5,3,2,7,6,1,8,4]=>[6,3,5,7,2,8,4,1]
[5,6,4,2,8,7,1,3]=>[7,4,1,6,5,2,8,3]
[5,7,4,2,6,1,8,3]=>[6,4,7,8,5,3,1,2]
[5,4,7,1,6,2,8,3]=>[7,6,8,5,4,1,2,3]
[4,5,8,7,6,2,1,3]=>[2,6,1,4,5,7,8,3]
[6,4,7,1,2,3,8,5]=>[7,1,2,6,8,4,3,5]
[5,7,1,8,2,4,3,6]=>[7,8,4,2,5,3,1,6]
[6,7,1,2,5,8,4,3]=>[7,1,4,8,2,6,5,3]
[8,1,4,6,5,2,3,7]=>[8,5,2,1,6,4,3,7]
[4,8,6,3,7,2,5,1]=>[5,7,6,4,2,8,3,1]
[6,1,7,3,8,4,5,2]=>[6,5,7,8,4,1,3,2]
[8,2,3,1,6,4,7,5]=>[3,8,2,6,7,1,4,5]
[1,8,7,2,3,4,6,5]=>[1,7,2,3,6,4,8,5]
[1,8,3,7,6,2,5,4]=>[1,6,7,5,3,8,2,4]
[1,3,8,2,5,6,4,7]=>[1,8,3,6,2,5,4,7]
[1,3,2,7,4,6,8,5]=>[1,3,2,7,8,4,6,5]
[1,3,8,4,6,2,7,5]=>[1,6,3,8,7,4,2,5]
[6,4,3,5,1,7,2,8]=>[5,7,4,6,3,1,2,8]
[6,3,1,5,4,7,2,8]=>[3,6,7,5,2,4,1,8]
[2,3,5,8,4,1,6,7]=>[4,2,3,8,5,1,6,7]
[2,5,8,4,3,6,7,1]=>[7,2,4,8,5,3,6,1]
[4,5,3,8,2,6,7,1]=>[7,8,5,4,3,2,6,1]
[5,8,4,6,7,2,3,1]=>[3,7,2,8,5,4,6,1]
[4,2,5,8,6,7,3,1]=>[3,7,4,1,5,8,6,2]
[8,2,3,6,7,4,5,1]=>[5,8,2,7,4,3,6,1]
[5,8,4,6,2,7,3,1]=>[3,7,6,8,5,4,1,2]
[6,8,3,7,2,4,5,1]=>[5,7,8,2,4,6,3,1]
[6,1,3,8,5,4,2,7]=>[6,4,1,5,8,3,2,7]
[8,6,2,1,5,4,7,3]=>[2,6,8,5,3,7,4,1]
[3,6,1,2,5,4,7,8]=>[6,1,3,5,2,4,7,8]
[5,6,4,2,1,7,3,8]=>[2,4,6,7,5,3,1,8]
[4,2,7,6,5,3,8,1]=>[8,4,5,2,6,7,3,1]
[3,2,7,6,5,1,8,4]=>[5,3,2,6,7,8,1,4]
[2,3,7,6,4,8,5,1]=>[5,2,3,8,6,7,1,4]
[2,5,7,6,3,8,4,1]=>[4,2,8,6,5,7,1,3]
[4,5,7,8,6,2,3,1]=>[3,6,2,4,5,8,7,1]
[6,4,7,1,2,5,3,8]=>[7,1,5,6,2,4,3,8]
[3,6,7,5,4,1,8,2]=>[4,5,3,7,8,6,1,2]
[8,4,3,6,5,7,1,2]=>[7,1,4,8,6,3,5,2]
[8,2,4,6,5,7,1,3]=>[7,8,1,2,6,4,5,3]
[7,2,6,4,3,1,8,5]=>[3,4,6,7,8,2,1,5]
[6,8,5,2,1,4,3,7]=>[2,5,4,1,8,6,3,7]
[3,2,8,5,7,4,1,6]=>[4,3,2,7,8,1,5,6]
[8,2,3,6,4,7,1,5]=>[7,8,2,6,1,3,4,5]
[8,4,6,5,2,7,1,3]=>[7,5,1,6,8,2,4,3]
[8,2,1,5,7,4,3,6]=>[2,8,4,7,1,3,5,6]
[8,7,1,2,3,5,4,6]=>[7,1,2,5,3,4,8,6]
[1,8,7,5,4,2,3,6]=>[1,4,2,5,7,3,8,6]
[8,4,5,1,2,3,7,6]=>[5,1,2,8,4,7,3,6]
[4,1,7,2,3,8,6,5]=>[4,7,2,1,6,8,3,5]
[1,6,5,2,7,8,3,4]=>[1,5,6,2,8,3,7,4]
[1,2,7,5,8,6,3,4]=>[1,2,6,3,8,7,4,5]
[1,6,2,5,7,8,4,3]=>[1,6,4,8,2,5,7,3]
[7,4,5,1,6,8,2,3]=>[5,8,2,7,4,1,6,3]
[1,6,4,5,2,7,8,3]=>[1,5,8,6,4,2,7,3]
[1,7,8,4,2,6,3,5]=>[1,4,8,6,2,3,7,5]
[6,3,2,5,7,4,1,8]=>[4,3,7,6,1,5,2,8]
[7,4,3,2,6,8,1,5]=>[8,3,4,7,1,2,6,5]
[5,2,8,4,6,3,1,7]=>[3,6,5,8,1,4,2,7]
[6,4,7,5,3,1,2,8]=>[3,1,5,7,6,2,4,8]
[6,2,1,4,5,8,3,7]=>[2,6,8,1,4,5,3,7]
[6,4,8,5,2,7,3,1]=>[3,7,5,8,6,1,4,2]
[5,2,6,3,1,8,4,7]=>[3,6,5,8,1,2,4,7]
[6,2,3,1,8,4,5,7]=>[3,6,2,8,4,1,5,7]
[5,4,2,7,1,3,8,6]=>[7,4,1,5,2,8,3,6]
[3,7,1,5,2,4,8,6]=>[7,5,3,2,1,8,4,6]
[6,4,7,5,1,2,3,8]=>[5,1,2,7,6,3,4,8]
[5,2,1,7,4,6,3,8]=>[2,5,6,7,1,4,3,8]
[6,2,1,5,3,7,8,4]=>[2,6,5,8,1,3,7,4]
[6,5,8,2,7,4,3,1]=>[3,4,7,8,6,5,2,1]
[1,8,6,2,3,4,7,5]=>[1,6,2,3,8,7,5,4]
[1,5,2,7,3,6,8,4]=>[1,5,7,8,2,3,6,4]
[1,4,7,6,2,8,5,3]=>[1,6,5,4,7,8,3,2]
[1,5,8,3,2,6,4,7]=>[1,3,8,6,5,2,4,7]
[6,2,5,1,3,8,7,4]=>[5,6,1,7,2,3,8,4]
[6,2,8,5,1,3,7,4]=>[5,8,2,6,7,4,3,1]
[4,1,7,8,3,6,5,2]=>[4,5,6,1,8,2,7,3]
[6,4,2,1,7,3,5,8]=>[2,4,6,7,1,3,5,8]
[5,8,4,2,1,3,6,7]=>[2,4,1,8,5,3,6,7]
[6,7,1,4,8,2,3,5]=>[7,8,2,1,3,6,4,5]
[6,8,1,2,3,5,4,7]=>[8,1,2,5,3,6,4,7]
[6,3,5,7,1,8,2,4]=>[7,8,6,2,3,5,1,4]
[6,4,2,5,7,8,3,1]=>[3,8,4,6,1,5,7,2]
[6,3,5,7,1,8,4,2]=>[7,4,8,6,2,5,1,3]
[7,4,1,2,3,6,5,8]=>[4,1,2,7,6,3,5,8]
[7,2,1,6,3,4,5,8]=>[2,7,6,3,4,1,5,8]
[7,3,6,2,4,1,5,8]=>[4,6,7,2,1,3,5,8]
[5,4,1,2,3,6,8,7]=>[4,1,2,5,3,6,8,7]
[7,2,4,3,1,8,5,6]=>[3,4,7,1,8,5,2,6]
[1,7,5,8,4,3,6,2]=>[1,6,4,8,7,3,5,2]
[2,7,8,5,1,6,3,4]=>[5,2,8,1,6,3,7,4]
[2,7,8,3,5,1,6,4]=>[5,2,8,6,3,1,7,4]
[2,3,7,8,5,6,4,1]=>[4,2,3,6,8,5,7,1]
[2,3,7,5,8,1,6,4]=>[8,2,3,6,7,1,5,4]
[2,3,7,5,8,6,4,1]=>[4,2,3,6,8,7,1,5]
[4,3,1,7,8,2,5,6]=>[3,4,8,2,1,5,7,6]
[2,5,7,8,1,3,6,4]=>[8,2,1,6,5,3,7,4]
[2,5,7,8,3,6,4,1]=>[4,2,6,8,5,1,7,3]
[6,1,3,5,7,8,2,4]=>[6,8,1,2,3,5,7,4]
[5,8,1,6,4,7,2,3]=>[8,7,2,6,5,1,4,3]
[2,4,7,5,1,8,6,3]=>[5,2,7,4,6,8,3,1]
[2,3,7,1,8,5,6,4]=>[7,2,3,6,8,5,1,4]
[6,5,1,2,7,4,8,3]=>[5,1,6,8,7,3,2,4]
[3,6,5,7,8,2,4,1]=>[4,8,3,2,6,5,7,1]
[3,6,5,1,8,7,4,2]=>[5,4,3,6,7,2,8,1]
[7,4,5,8,1,3,2,6]=>[8,3,1,7,4,2,5,6]
[5,7,2,1,6,4,3,8]=>[2,7,4,6,5,1,3,8]
[8,7,2,1,6,4,3,5]=>[2,7,4,6,3,1,8,5]
[7,8,1,2,5,4,3,6]=>[8,1,4,5,2,3,7,6]
[8,7,1,2,6,4,3,5]=>[7,1,4,6,3,2,8,5]
[8,1,7,2,6,5,3,4]=>[8,7,5,3,6,2,1,4]
[4,2,7,8,6,5,3,1]=>[3,5,4,1,6,8,7,2]
[3,1,2,7,6,5,4,8]=>[3,1,2,5,6,7,4,8]
[2,7,8,1,6,4,3,5]=>[8,2,4,6,3,1,7,5]
[4,2,7,1,6,5,3,8]=>[7,4,5,2,6,1,3,8]
[3,4,7,6,1,5,2,8]=>[6,5,3,4,1,7,2,8]
[5,7,1,6,8,4,2,3]=>[7,4,2,8,5,1,6,3]
[4,1,7,6,8,5,2,3]=>[4,5,2,1,8,7,6,3]
[3,4,7,6,5,8,1,2]=>[8,1,3,4,6,7,5,2]
[2,8,4,3,5,1,7,6]=>[5,2,4,8,3,7,1,6]
[3,8,4,2,6,5,7,1]=>[7,4,3,8,6,2,5,1]
[3,2,5,8,6,4,7,1]=>[7,3,2,6,5,8,4,1]
[4,2,5,3,6,8,7,1]=>[7,4,5,2,3,6,8,1]
[3,8,4,1,6,5,7,2]=>[4,8,3,7,6,2,5,1]
[1,8,5,2,6,4,7,3]=>[1,5,8,7,6,3,2,4]
[3,8,5,1,6,4,7,2]=>[5,8,3,7,6,2,1,4]
[4,8,5,1,6,3,7,2]=>[5,8,7,4,6,2,1,3]
[4,1,5,8,6,3,7,2]=>[4,7,6,1,5,8,3,2]
[4,1,5,3,6,2,7,8]=>[4,6,5,1,3,2,7,8]
[3,8,5,4,6,2,7,1]=>[7,6,3,5,8,4,2,1]
[5,2,4,7,6,8,1,3]=>[8,5,1,2,4,7,6,3]
[3,1,5,7,4,8,6,2]=>[3,6,1,8,5,7,2,4]
[4,1,7,6,8,2,5,3]=>[4,8,5,1,2,7,6,3]
[7,2,6,4,1,5,3,8]=>[4,6,7,5,2,3,1,8]
[1,2,6,5,8,3,7,4]=>[1,2,8,7,6,5,3,4]
[7,3,5,6,1,4,2,8]=>[6,4,7,1,3,5,2,8]
[5,8,3,1,6,7,4,2]=>[3,8,4,7,5,2,6,1]
[4,5,8,1,7,3,6,2]=>[8,6,7,4,5,3,1,2]
[4,7,1,6,8,5,2,3]=>[7,5,2,4,8,1,6,3]
[5,8,7,1,6,4,2,3]=>[7,4,2,6,5,1,8,3]
[4,1,8,3,2,5,7,6]=>[4,3,8,1,2,7,5,6]
[1,7,3,8,2,5,4,6]=>[1,8,7,5,2,4,3,6]
[8,4,2,1,6,3,7,5]=>[2,4,8,6,7,3,1,5]
[8,2,6,1,5,7,4,3]=>[6,8,4,7,1,2,5,3]
[5,1,8,4,3,6,7,2]=>[5,7,4,8,1,3,6,2]
[8,2,1,3,5,7,6,4]=>[2,8,1,6,3,7,5,4]
[8,4,1,3,6,7,5,2]=>[4,8,2,5,7,3,6,1]
[1,8,4,6,2,3,5,7]=>[1,6,2,8,3,4,5,7]
[4,1,3,5,6,2,7,8]=>[4,6,1,3,5,2,7,8]
[2,6,1,3,7,5,8,4]=>[6,2,1,8,7,3,5,4]
[2,5,1,7,6,3,8,4]=>[5,2,6,7,1,8,4,3]
[5,8,2,4,6,1,7,3]=>[6,8,7,2,5,4,1,3]
[1,4,7,8,5,2,6,3]=>[1,5,8,4,6,3,7,2]
[3,8,5,2,6,4,1,7]=>[4,6,3,5,8,1,2,7]
[8,2,5,7,6,1,4,3]=>[6,7,4,2,1,8,5,3]
[5,3,1,8,6,7,4,2]=>[3,5,4,7,2,8,6,1]
[5,7,1,6,4,2,8,3]=>[7,4,6,8,5,1,3,2]
[2,7,1,6,5,8,4,3]=>[7,2,4,8,6,1,5,3]
[2,3,6,1,7,5,4,8]=>[6,2,3,5,7,1,4,8]
[2,7,1,4,8,6,5,3]=>[7,2,5,1,6,8,4,3]
[6,7,5,4,1,3,2,8]=>[4,3,1,5,7,6,2,8]
[5,7,3,2,1,4,8,6]=>[2,3,7,1,5,8,4,6]
[5,8,6,3,2,4,7,1]=>[7,3,6,2,5,8,4,1]
[6,2,7,1,4,3,5,8]=>[7,6,4,1,3,2,5,8]
[7,6,2,8,5,3,1,4]=>[3,5,8,1,6,7,2,4]
[6,1,5,7,3,4,8,2]=>[6,8,7,3,1,5,4,2]
[7,1,2,3,8,4,6,5]=>[7,1,2,8,6,4,3,5]
[3,5,8,1,6,2,7,4]=>[8,6,3,7,5,1,2,4]
[4,1,3,5,2,7,6,8]=>[4,5,1,3,2,7,6,8]
[4,1,5,7,2,8,6,3]=>[4,7,6,1,5,8,2,3]
[4,5,7,6,2,8,3,1]=>[3,8,6,4,5,7,1,2]
[4,5,6,2,8,7,1,3]=>[7,6,1,4,5,2,8,3]
[6,2,8,5,4,3,7,1]=>[7,6,4,5,8,2,3,1]
[3,7,4,8,6,5,2,1]=>[2,5,3,6,8,7,4,1]
[3,8,6,5,4,2,7,1]=>[7,4,3,5,6,8,2,1]
[5,8,4,7,6,1,2,3]=>[6,1,2,7,5,8,3,4]
[8,3,2,7,5,1,6,4]=>[5,3,7,8,6,2,4,1]
[4,8,5,7,3,2,6,1]=>[6,3,7,4,8,2,5,1]
[2,6,7,4,8,1,5,3]=>[8,2,5,7,1,6,4,3]
[2,8,6,5,4,1,3,7]=>[4,2,1,5,6,8,3,7]
[8,3,4,2,1,6,7,5]=>[2,4,8,3,7,1,6,5]
[8,7,4,3,1,2,6,5]=>[3,1,4,7,6,2,8,5]
[6,8,4,3,1,2,7,5]=>[3,1,4,8,7,6,2,5]
[8,3,2,6,5,1,7,4]=>[5,3,6,8,7,4,2,1]
[7,3,2,6,5,1,4,8]=>[5,3,6,2,7,1,4,8]
[8,3,6,5,1,2,7,4]=>[5,1,6,8,7,4,3,2]
[2,5,4,6,8,3,7,1]=>[7,2,8,5,4,6,3,1]
[2,6,5,8,7,1,4,3]=>[7,2,4,1,6,5,8,3]
[2,5,3,7,1,4,6,8]=>[7,2,5,1,3,4,6,8]
[2,6,8,4,7,1,3,5]=>[7,2,1,8,3,6,4,5]
[2,8,3,7,5,4,1,6]=>[4,2,5,7,8,1,3,6]
[2,7,8,4,1,5,3,6]=>[4,2,8,5,3,1,7,6]
[8,3,4,2,1,5,7,6]=>[2,4,8,3,1,7,5,6]
[7,8,6,3,2,5,4,1]=>[4,3,5,6,1,8,7,2]
[6,1,3,8,4,7,5,2]=>[6,5,1,7,8,3,2,4]
[5,4,2,8,1,6,7,3]=>[8,4,5,7,3,1,6,2]
[5,3,1,8,7,4,6,2]=>[3,5,6,7,2,4,8,1]
[5,2,8,6,3,1,4,7]=>[3,6,5,2,1,8,4,7]
[4,5,1,7,8,6,3,2]=>[5,3,6,4,1,8,7,2]
[4,2,5,6,8,3,7,1]=>[7,4,8,2,5,6,3,1]
[7,4,8,1,2,6,5,3]=>[8,1,5,6,7,2,3,4]
[1,6,4,8,2,3,5,7]=>[1,8,2,6,3,4,5,7]
[1,6,8,3,7,5,4,2]=>[1,4,5,7,8,6,3,2]
[7,3,6,5,1,8,2,4]=>[5,6,8,3,7,1,2,4]
[7,2,4,1,8,6,3,5]=>[4,7,6,2,3,8,1,5]
[1,6,8,2,7,3,5,4]=>[1,8,7,5,3,6,2,4]
[4,8,7,2,1,3,6,5]=>[2,7,1,4,6,3,8,5]
[5,8,1,3,7,4,6,2]=>[8,6,1,7,5,4,3,2]
[5,4,8,1,7,2,3,6]=>[8,7,2,5,4,3,1,6]
[2,8,5,6,4,1,7,3]=>[4,2,6,7,8,5,3,1]
[1,4,7,3,5,8,6,2]=>[1,6,8,4,2,7,5,3]
[3,7,8,2,5,1,6,4]=>[5,8,3,6,2,1,7,4]
[8,6,1,4,3,2,7,5]=>[6,3,4,1,8,7,5,2]
[7,3,8,2,4,1,5,6]=>[4,8,7,2,1,5,3,6]
[6,3,7,8,1,2,5,4]=>[8,1,6,5,2,3,7,4]
[7,6,1,5,2,3,8,4]=>[6,5,2,7,4,8,3,1]
[5,1,8,6,7,2,3,4]=>[5,7,2,3,1,8,6,4]
[5,7,1,6,8,2,3,4]=>[7,8,2,3,5,1,6,4]
[6,8,4,2,1,7,3,5]=>[2,4,8,7,1,6,3,5]
[6,3,2,8,1,7,4,5]=>[8,3,6,7,4,2,1,5]
[1,8,5,6,3,7,4,2]=>[1,4,7,6,8,5,2,3]
[6,7,8,2,4,1,5,3]=>[4,8,5,2,1,6,7,3]
[5,4,2,1,7,6,8,3]=>[2,4,5,8,3,7,6,1]
[6,4,1,3,7,8,5,2]=>[4,6,2,5,8,3,7,1]
[2,3,1,7,4,6,5,8]=>[3,2,1,7,6,4,5,8]
[2,8,3,7,5,4,6,1]=>[6,2,8,5,7,4,3,1]
[6,8,5,4,3,7,1,2]=>[7,1,4,5,8,6,3,2]
[1,8,3,2,7,4,5,6]=>[1,3,8,7,4,5,2,6]
[4,5,1,7,3,2,8,6]=>[5,3,7,4,1,8,2,6]
[1,8,6,7,4,3,5,2]=>[1,5,4,7,3,8,6,2]
[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]
[3,7,2,1,6,5,8,4]=>[2,7,3,8,6,1,5,4]
[1,6,3,4,2,8,5,7]=>[1,4,6,3,8,2,5,7]
[5,2,3,8,1,6,4,7]=>[8,5,2,6,3,1,4,7]
[3,2,4,7,6,8,1,5]=>[8,3,2,4,1,7,6,5]
[2,7,8,4,3,1,5,6]=>[3,2,4,8,1,5,7,6]
[7,4,2,1,6,3,8,5]=>[2,4,7,6,8,3,1,5]
[3,5,8,4,2,7,1,6]=>[7,4,3,8,5,1,2,6]
[3,5,6,7,4,1,2,8]=>[4,1,3,7,5,6,2,8]
[5,1,3,6,8,4,2,7]=>[5,4,1,8,3,6,2,7]
[5,6,4,8,7,1,2,3]=>[7,1,2,6,5,4,8,3]
[6,5,4,2,8,7,3,1]=>[3,7,4,5,6,1,8,2]
[1,8,5,2,7,6,3,4]=>[1,5,8,2,6,7,3,4]
[8,2,4,6,3,1,5,7]=>[3,6,8,1,2,4,5,7]
[4,6,8,3,1,5,2,7]=>[3,8,5,4,2,6,1,7]
[5,3,6,4,8,1,2,7]=>[8,1,5,6,3,4,2,7]
[3,6,5,2,1,7,8,4]=>[2,5,3,6,8,4,7,1]
[5,7,4,8,3,1,2,6]=>[3,1,8,7,5,2,4,6]
[3,7,2,8,1,4,6,5]=>[8,7,3,1,6,4,2,5]
[7,4,3,6,1,5,2,8]=>[6,5,4,7,1,3,2,8]
[4,5,8,3,6,2,1,7]=>[2,6,8,4,5,3,1,7]
[1,6,7,3,8,2,4,5]=>[1,8,7,2,4,6,3,5]
[6,3,7,5,1,2,4,8]=>[5,1,7,3,6,2,4,8]
[5,3,7,1,2,6,4,8]=>[7,1,5,6,3,2,4,8]
[5,1,2,6,4,7,3,8]=>[5,1,7,6,2,4,3,8]
[6,1,2,4,8,3,7,5]=>[6,1,8,2,7,4,3,5]
[6,7,2,8,1,4,5,3]=>[8,7,5,1,4,6,2,3]
[7,1,4,5,6,3,8,2]=>[7,8,6,1,4,5,3,2]
[2,5,6,3,1,4,7,8]=>[3,2,6,1,5,4,7,8]
[6,7,1,3,5,2,4,8]=>[7,5,1,2,3,6,4,8]
[7,1,4,5,6,2,3,8]=>[7,6,2,1,4,5,3,8]
[2,5,6,8,1,4,7,3]=>[8,2,7,1,5,6,4,3]
[7,4,1,6,5,2,3,8]=>[4,7,1,5,6,2,3,8]
[4,1,6,5,2,3,8,7]=>[4,5,2,1,6,3,8,7]
[4,5,1,7,8,6,2,3]=>[5,6,2,4,1,8,7,3]
[8,5,7,3,4,6,2,1]=>[2,6,7,3,8,4,5,1]
[6,8,7,4,3,5,2,1]=>[2,5,4,7,3,6,8,1]
[6,8,7,5,3,4,2,1]=>[2,4,5,3,7,6,8,1]
[5,8,6,2,4,7,3,1]=>[3,7,6,1,5,8,4,2]
[4,8,6,2,5,7,3,1]=>[3,7,6,4,1,8,5,2]
[1,6,4,7,5,3,2,8]=>[1,3,5,7,6,2,4,8]
[1,6,5,3,2,7,4,8]=>[1,3,5,6,7,4,2,8]
[1,6,8,7,4,5,3,2]=>[1,3,5,7,4,6,8,2]
[1,4,7,5,3,2,6,8]=>[1,3,5,4,7,2,6,8]
[1,7,5,4,3,2,8,6]=>[1,3,4,5,7,8,2,6]
[1,4,7,5,3,2,8,6]=>[1,3,5,4,7,8,2,6]
[1,7,4,6,8,5,3,2]=>[1,3,5,8,7,2,6,4]
[6,8,7,2,3,5,4,1]=>[4,5,1,7,3,6,8,2]
[5,7,6,1,8,2,4,3]=>[6,7,4,1,5,8,2,3]
[4,8,6,5,7,2,3,1]=>[3,7,2,4,6,8,5,1]
[2,7,8,5,1,4,3,6]=>[5,2,4,1,8,3,7,6]
[3,6,4,8,1,2,5,7]=>[8,1,3,6,2,4,5,7]
[8,5,6,4,7,1,3,2]=>[7,3,1,6,8,5,4,2]
[5,7,2,1,6,4,8,3]=>[2,7,8,6,5,1,4,3]
[5,3,7,6,2,8,4,1]=>[4,8,6,5,1,7,3,2]
[2,7,5,6,1,4,8,3]=>[6,2,8,1,7,5,4,3]
[2,4,1,7,6,8,3,5]=>[4,2,8,1,3,7,6,5]
[2,4,3,7,6,8,1,5]=>[8,2,4,3,1,7,6,5]
[5,1,6,4,3,7,8,2]=>[5,8,4,6,1,3,7,2]
[5,7,1,6,4,3,8,2]=>[7,8,4,6,5,1,3,2]
[8,4,6,1,3,7,5,2]=>[6,5,1,7,8,2,3,4]
[8,5,6,2,4,7,3,1]=>[3,7,6,1,8,5,4,2]
[3,5,8,4,2,6,1,7]=>[6,4,3,8,5,2,1,7]
[8,1,3,6,4,5,2,7]=>[8,5,1,6,4,3,2,7]
[1,5,4,7,8,2,6,3]=>[1,8,6,5,4,2,7,3]
[8,3,6,5,1,7,4,2]=>[5,4,6,7,8,1,3,2]
[4,3,1,6,2,5,8,7]=>[3,4,6,2,1,5,8,7]
[7,5,2,1,8,4,3,6]=>[2,5,4,7,8,1,3,6]
[5,3,1,4,7,8,2,6]=>[3,5,8,2,4,1,7,6]
[7,1,2,4,8,3,5,6]=>[7,1,8,2,3,5,4,6]
[8,6,1,3,5,7,4,2]=>[6,4,2,8,3,7,5,1]
[7,1,5,8,2,3,4,6]=>[7,8,2,3,1,4,5,6]
[3,6,8,5,1,4,2,7]=>[5,4,3,1,8,6,2,7]
[5,2,4,1,6,8,3,7]=>[4,5,8,2,1,6,3,7]
[7,1,5,2,3,4,6,8]=>[7,5,2,3,1,4,6,8]
[2,5,3,4,6,8,1,7]=>[8,2,5,3,4,6,1,7]
[4,7,1,2,5,6,3,8]=>[7,1,6,4,2,5,3,8]
[6,7,3,1,8,2,4,5]=>[3,7,8,1,4,6,2,5]
[7,3,1,4,6,2,8,5]=>[3,7,6,2,8,4,1,5]
[7,4,1,2,5,6,3,8]=>[4,1,7,6,3,5,2,8]
[5,4,1,3,6,8,7,2]=>[4,5,2,7,3,6,8,1]
[5,7,4,8,1,6,3,2]=>[8,3,6,7,5,1,4,2]
[5,7,3,4,6,2,1,8]=>[2,6,7,3,5,4,1,8]
[7,3,5,6,2,4,1,8]=>[4,6,7,2,3,5,1,8]
[3,7,2,5,6,1,4,8]=>[6,7,3,1,2,5,4,8]
[3,1,2,7,5,8,6,4]=>[3,1,2,6,8,7,4,5]
[3,7,2,5,1,6,4,8]=>[5,7,3,6,2,1,4,8]
[4,5,8,2,7,6,3,1]=>[3,6,7,4,5,8,2,1]
[1,5,7,2,6,4,3,8]=>[1,7,4,6,5,2,3,8]
[6,3,5,1,4,7,2,8]=>[5,7,6,1,3,4,2,8]
[7,3,4,6,1,5,2,8]=>[6,5,7,3,1,4,2,8]
[5,3,6,8,1,7,4,2]=>[8,4,7,5,2,6,1,3]
[8,3,5,7,4,6,1,2]=>[6,1,8,7,3,4,5,2]
[8,4,7,2,3,5,1,6]=>[5,7,2,8,3,1,4,6]
[2,3,7,8,1,6,4,5]=>[8,2,3,6,4,1,7,5]
[2,7,3,8,5,4,1,6]=>[4,2,5,8,7,1,3,6]
[6,5,3,8,2,4,7,1]=>[7,8,5,2,6,3,4,1]
[8,3,7,6,5,4,1,2]=>[4,1,5,6,7,8,2,3]
[4,3,1,2,5,7,6,8]=>[3,1,4,2,5,7,6,8]
[1,2,4,7,8,5,6,3]=>[1,2,6,4,8,5,7,3]
[8,3,6,5,7,4,2,1]=>[2,4,7,8,6,1,5,3]
[8,2,6,5,7,4,3,1]=>[3,4,7,8,6,2,5,1]
[8,4,7,1,5,2,6,3]=>[7,5,6,8,1,2,4,3]
[8,2,6,3,7,5,4,1]=>[4,5,7,8,6,1,2,3]
[8,2,5,3,7,6,4,1]=>[4,6,7,5,2,8,1,3]
[8,5,7,1,4,3,6,2]=>[7,6,4,1,8,3,5,2]
[4,3,6,7,5,1,8,2]=>[5,7,4,3,8,6,2,1]
[2,6,7,1,4,3,5,8]=>[7,2,4,1,3,6,5,8]
[8,6,2,1,4,5,3,7]=>[2,6,5,1,4,8,3,7]
[4,1,5,3,2,6,7,8]=>[4,3,5,1,2,6,7,8]
[5,1,2,6,4,3,7,8]=>[5,1,4,6,2,3,7,8]
[5,1,2,7,4,3,6,8]=>[5,1,4,7,2,3,6,8]
[5,1,2,7,6,4,3,8]=>[5,1,4,6,2,7,3,8]
[5,3,8,1,7,4,2,6]=>[8,4,7,5,2,3,1,6]
[5,8,7,2,4,6,3,1]=>[3,6,7,1,5,4,8,2]
[8,5,3,1,2,6,4,7]=>[3,1,5,8,6,4,2,7]
[5,6,3,1,2,8,4,7]=>[3,1,6,8,5,2,4,7]
[5,3,8,4,6,1,2,7]=>[6,1,5,8,3,4,2,7]
[5,3,1,8,4,2,6,7]=>[3,5,4,8,2,1,6,7]
[5,8,3,1,6,2,4,7]=>[3,8,6,1,5,2,4,7]
[5,6,8,3,1,4,2,7]=>[3,8,4,2,5,6,1,7]
[5,3,6,8,4,1,2,7]=>[4,1,8,5,2,6,3,7]
[5,3,1,2,6,4,8,7]=>[3,1,5,6,2,4,8,7]
[5,3,4,8,6,1,2,7]=>[6,1,5,3,4,8,2,7]
[5,3,1,4,6,8,2,7]=>[3,5,8,2,4,6,1,7]
[4,3,6,5,1,2,8,7]=>[5,1,4,3,6,2,8,7]
[5,4,1,6,8,7,2,3]=>[4,5,1,7,2,6,8,3]
[3,5,4,7,8,1,6,2]=>[8,6,3,5,4,1,7,2]
[4,5,3,6,8,7,1,2]=>[7,1,5,4,3,6,8,2]
[4,1,6,7,2,8,5,3]=>[4,7,5,1,8,6,2,3]
[2,1,6,5,8,7,3,4]=>[2,1,7,3,6,5,8,4]
[6,4,5,7,1,8,3,2]=>[7,3,8,6,4,5,1,2]
[4,8,2,5,7,3,6,1]=>[6,8,7,4,2,3,5,1]
[4,5,2,7,8,3,1,6]=>[3,8,5,4,1,2,7,6]
[3,7,8,1,6,2,5,4]=>[8,6,3,5,2,1,7,4]
[3,4,6,1,7,5,8,2]=>[6,8,3,4,7,1,5,2]
[6,1,5,4,7,3,8,2]=>[6,8,7,5,1,4,3,2]
[3,2,5,6,7,1,8,4]=>[7,3,2,8,5,6,1,4]
[3,6,5,2,7,4,8,1]=>[8,5,3,6,7,4,2,1]
[6,4,5,1,7,3,8,2]=>[5,8,7,6,4,1,3,2]
[6,1,5,3,7,2,8,4]=>[6,7,5,8,1,3,2,4]
[6,1,5,3,7,4,8,2]=>[6,8,5,7,1,3,4,2]
[6,2,5,4,7,3,8,1]=>[8,6,7,5,2,4,3,1]
[5,1,7,6,3,2,4,8]=>[5,3,6,2,1,7,4,8]
[8,5,7,6,1,3,4,2]=>[6,4,1,3,7,8,2,5]
[8,6,5,1,7,3,4,2]=>[5,4,6,3,8,7,1,2]
[6,8,5,7,1,3,4,2]=>[7,4,1,3,8,6,5,2]
[8,4,7,6,1,5,3,2]=>[6,3,5,7,4,8,1,2]
[8,4,2,7,6,3,5,1]=>[5,4,8,6,2,7,3,1]
[8,7,2,1,6,3,5,4]=>[2,7,6,5,3,1,8,4]
[3,1,8,4,2,7,6,5]=>[3,4,1,8,6,7,2,5]
[2,8,7,4,1,3,6,5]=>[4,2,1,7,6,3,8,5]
[8,2,3,1,7,6,4,5]=>[3,8,2,6,4,7,1,5]
[8,7,2,3,1,6,4,5]=>[3,7,2,6,4,1,8,5]
[7,2,5,8,3,1,4,6]=>[3,8,7,2,1,4,5,6]
[6,8,2,3,1,7,4,5]=>[3,8,2,7,4,6,1,5]
[8,2,5,7,3,1,4,6]=>[3,7,8,2,1,4,5,6]
[8,2,7,3,1,4,5,6]=>[3,7,8,2,4,5,1,6]
[3,1,6,2,7,8,5,4]=>[3,6,1,5,8,2,7,4]
[5,3,1,7,8,2,6,4]=>[3,5,8,6,2,1,7,4]
[6,7,4,3,8,5,1,2]=>[5,1,4,8,7,6,2,3]
[6,2,3,7,1,8,5,4]=>[7,6,2,5,8,3,1,4]
[5,3,2,8,7,1,6,4]=>[7,3,5,6,2,1,8,4]
[8,6,7,4,1,3,5,2]=>[4,7,2,5,3,8,6,1]
[4,1,3,6,5,2,8,7]=>[4,5,1,3,6,2,8,7]
[4,6,3,2,5,1,8,7]=>[5,3,6,4,2,1,8,7]
[4,8,3,2,6,5,7,1]=>[7,3,8,4,6,2,5,1]
[4,8,3,6,5,2,7,1]=>[7,5,6,4,8,2,3,1]
[8,1,6,2,5,4,7,3]=>[8,6,7,5,2,1,4,3]
[2,4,3,8,6,1,7,5]=>[6,2,4,3,8,7,5,1]
[2,6,3,8,5,4,7,1]=>[7,2,6,5,8,3,4,1]
[6,1,3,2,5,8,7,4]=>[6,3,1,7,2,5,8,4]
[6,8,4,2,5,3,7,1]=>[7,4,8,5,3,6,2,1]
[6,8,4,3,5,2,7,1]=>[7,5,4,8,3,6,2,1]
[8,1,4,6,5,3,7,2]=>[8,7,5,1,6,4,3,2]
[3,5,4,6,1,2,8,7]=>[6,1,3,5,4,2,8,7]
[7,3,5,6,1,8,2,4]=>[6,8,7,2,3,5,1,4]
[5,7,6,3,4,2,8,1]=>[8,4,6,3,5,7,2,1]
[4,6,7,2,3,5,8,1]=>[8,7,2,4,3,6,5,1]
[6,5,4,8,7,2,3,1]=>[3,7,2,5,6,4,8,1]
[3,8,4,1,7,5,6,2]=>[4,8,3,6,7,5,2,1]
[4,5,2,1,3,6,8,7]=>[2,5,1,4,3,6,8,7]
[8,5,2,4,1,7,3,6]=>[4,5,8,3,7,2,1,6]
[4,8,7,1,2,6,3,5]=>[7,1,6,4,3,2,8,5]
[4,6,1,5,2,3,7,8]=>[6,5,2,4,1,3,7,8]
[5,7,4,3,6,2,1,8]=>[2,6,4,7,5,3,1,8]
[4,5,3,8,1,6,2,7]=>[8,6,5,4,3,1,2,7]
[4,7,1,2,6,8,5,3]=>[7,1,5,4,8,2,6,3]
[1,8,5,6,2,3,7,4]=>[1,6,2,7,8,5,3,4]
[7,2,4,6,8,1,5,3]=>[8,7,5,2,1,4,6,3]
[6,2,5,4,7,8,1,3]=>[8,6,1,5,2,4,7,3]
[3,8,2,6,1,7,4,5]=>[6,8,3,7,4,2,1,5]
[4,3,7,8,5,2,6,1]=>[6,5,4,3,8,2,7,1]
[5,6,1,8,4,2,3,7]=>[6,4,2,8,5,1,3,7]
[7,4,2,6,1,3,8,5]=>[6,4,1,7,8,2,3,5]
[6,1,7,4,2,3,8,5]=>[6,4,2,7,8,1,3,5]
[8,5,6,1,3,2,7,4]=>[6,3,1,7,8,5,2,4]
[4,3,7,5,2,8,6,1]=>[6,5,4,3,8,7,1,2]
[3,1,8,7,4,6,5,2]=>[3,5,1,6,7,2,8,4]
[5,1,7,6,2,4,3,8]=>[5,6,4,2,1,7,3,8]
[7,4,8,1,5,3,6,2]=>[8,6,5,7,1,3,4,2]
[4,6,5,1,8,2,3,7]=>[5,6,1,4,8,2,3,7]
[2,1,6,8,3,5,4,7]=>[2,1,8,5,3,6,4,7]
[6,2,3,4,1,7,5,8]=>[4,6,2,3,7,1,5,8]
[5,3,7,8,2,6,1,4]=>[6,8,5,1,3,2,7,4]
[2,1,7,6,3,5,4,8]=>[2,1,6,5,3,7,4,8]
[7,6,2,1,3,5,8,4]=>[2,6,1,7,4,8,5,3]
[2,7,1,6,4,3,5,8]=>[7,2,4,6,3,1,5,8]
[2,8,5,3,7,4,1,6]=>[4,2,7,5,8,3,1,6]
[5,4,3,8,7,2,1,6]=>[2,7,4,5,3,1,8,6]
[3,8,1,6,4,5,7,2]=>[8,7,3,6,4,1,5,2]
[4,5,8,3,6,1,7,2]=>[6,7,8,4,5,3,1,2]
[3,7,1,4,2,5,6,8]=>[7,4,3,1,2,5,6,8]
[5,4,6,1,2,8,7,3]=>[6,1,7,5,4,2,8,3]
[4,7,5,3,2,6,8,1]=>[8,3,5,4,7,2,6,1]
[2,6,3,4,1,5,7,8]=>[4,2,6,3,1,5,7,8]
[3,7,4,6,8,1,2,5]=>[8,1,3,7,2,4,6,5]
[3,8,4,5,7,2,1,6]=>[2,7,3,8,4,1,5,6]
[4,5,8,7,2,3,1,6]=>[3,7,2,4,5,1,8,6]
[5,6,1,3,7,8,2,4]=>[6,8,1,2,5,3,7,4]
[3,8,4,6,5,7,2,1]=>[2,7,3,8,6,4,5,1]
[2,6,4,5,8,7,1,3]=>[7,2,1,6,4,5,8,3]
[8,2,6,4,3,7,5,1]=>[5,7,4,8,6,3,1,2]
[6,3,1,8,7,4,5,2]=>[3,6,5,7,4,2,8,1]
[8,6,3,2,7,4,5,1]=>[5,3,6,8,2,7,4,1]
[1,3,6,8,7,4,5,2]=>[1,5,3,7,4,6,8,2]
[5,7,1,3,6,2,4,8]=>[7,6,1,2,5,3,4,8]
[4,7,5,2,3,6,8,1]=>[8,5,2,4,7,3,6,1]
[3,6,4,1,2,5,7,8]=>[4,1,3,6,2,5,7,8]
[4,7,1,3,2,5,8,6]=>[7,3,1,4,2,8,5,6]
[4,7,1,3,2,6,8,5]=>[7,3,1,4,8,2,6,5]
[5,7,1,3,6,2,8,4]=>[7,6,1,8,5,3,2,4]
[6,8,2,5,7,3,1,4]=>[3,7,8,2,1,6,5,4]
[4,8,5,2,3,6,1,7]=>[6,5,2,4,8,3,1,7]
[5,8,6,3,4,7,2,1]=>[2,7,6,3,5,8,4,1]
[3,7,5,4,2,8,1,6]=>[8,4,3,5,7,1,2,6]
[4,6,5,1,7,8,2,3]=>[5,6,1,4,8,2,7,3]
[4,7,1,3,2,8,5,6]=>[7,3,1,4,8,5,2,6]
[3,6,5,1,8,2,4,7]=>[5,6,3,1,8,2,4,7]
[5,8,7,3,4,2,6,1]=>[6,4,7,3,5,2,8,1]
[5,7,1,8,6,2,4,3]=>[7,6,4,2,5,8,1,3]
[3,8,5,6,4,1,7,2]=>[4,6,3,7,8,5,2,1]
[5,2,8,1,6,7,4,3]=>[8,5,4,7,2,1,6,3]
[5,7,8,4,2,1,6,3]=>[2,4,8,6,5,3,7,1]
[1,4,6,8,7,5,2,3]=>[1,5,2,4,7,6,8,3]
[6,4,3,8,7,5,2,1]=>[2,5,4,7,6,1,8,3]
[8,5,2,3,7,4,6,1]=>[6,5,2,8,7,3,4,1]
[8,5,2,3,6,4,7,1]=>[7,5,2,8,6,4,3,1]
[4,7,2,3,5,8,6,1]=>[6,8,1,4,3,7,5,2]
[3,8,2,7,4,5,6,1]=>[6,8,3,7,4,5,2,1]
[4,7,2,6,8,5,3,1]=>[3,5,8,4,7,2,6,1]
[3,7,2,4,5,8,6,1]=>[6,8,3,1,4,7,5,2]
[4,8,2,5,6,7,3,1]=>[3,7,8,4,1,5,6,2]
[6,8,3,2,4,5,7,1]=>[7,3,8,2,4,6,5,1]
[4,5,8,3,2,6,7,1]=>[7,3,8,4,5,2,6,1]
[3,8,5,2,7,4,6,1]=>[6,5,3,8,7,2,4,1]
[4,2,8,6,3,5,7,1]=>[7,4,6,2,3,8,5,1]
[7,2,5,8,4,3,6,1]=>[6,7,4,8,2,3,5,1]
[4,2,7,6,8,5,3,1]=>[3,5,4,1,8,7,6,2]
[5,2,6,8,7,4,3,1]=>[3,4,7,5,2,6,8,1]
[3,7,4,6,8,5,2,1]=>[2,5,3,8,7,1,6,4]
[3,8,4,5,6,2,7,1]=>[7,6,3,8,4,5,2,1]
[6,3,1,5,4,8,2,7]=>[3,6,8,5,2,4,1,7]
[4,7,6,3,5,2,8,1]=>[8,5,6,4,3,7,2,1]
[1,7,5,3,4,8,6,2]=>[1,6,5,2,8,7,4,3]
[5,8,2,3,4,7,6,1]=>[6,7,1,3,5,8,4,2]
[8,7,3,2,6,4,5,1]=>[5,3,7,6,4,2,8,1]
[8,3,1,4,7,5,2,6]=>[3,8,5,2,7,1,4,6]
[5,3,1,6,4,8,7,2]=>[3,5,7,6,2,4,8,1]
[3,4,8,5,7,2,6,1]=>[6,7,3,4,8,2,5,1]
[2,5,1,4,7,6,8,3]=>[5,2,8,1,4,7,6,3]
[6,1,3,7,5,4,8,2]=>[6,8,1,5,7,3,4,2]
[2,8,3,5,1,7,6,4]=>[5,2,8,6,3,7,1,4]
[8,3,4,1,7,6,5,2]=>[4,5,6,3,7,8,1,2]
[2,3,8,6,1,7,5,4]=>[6,2,3,5,8,7,4,1]
[8,5,1,2,7,6,4,3]=>[5,1,4,8,6,7,3,2]
[6,5,8,3,1,4,7,2]=>[3,8,7,2,6,5,4,1]
[5,6,7,1,2,4,8,3]=>[7,1,8,2,5,6,4,3]
[7,1,6,8,3,2,5,4]=>[7,3,8,5,2,1,6,4]
[8,1,5,4,6,2,3,7]=>[8,6,2,5,1,4,3,7]
[8,2,6,3,1,5,4,7]=>[3,6,8,5,2,1,4,7]
[2,7,1,6,4,3,8,5]=>[7,2,4,6,8,1,3,5]
[2,7,6,8,1,3,4,5]=>[8,2,1,3,4,7,6,5]
[5,7,3,6,8,2,4,1]=>[4,8,7,2,5,3,6,1]
[2,3,8,4,5,1,7,6]=>[5,2,3,8,4,7,1,6]
[4,5,7,8,1,2,6,3]=>[8,1,6,4,5,2,7,3]
[7,2,6,4,5,8,3,1]=>[3,8,7,6,4,1,5,2]
[7,8,3,5,4,6,2,1]=>[2,6,8,5,3,4,7,1]
[4,3,7,5,2,8,1,6]=>[8,5,4,3,7,1,2,6]
[3,7,8,5,6,2,4,1]=>[4,6,3,2,8,5,7,1]
[3,5,8,2,1,7,6,4]=>[2,8,3,6,5,7,1,4]
[4,5,7,3,8,1,2,6]=>[8,1,7,4,5,2,3,6]
[7,4,3,6,2,5,8,1]=>[8,6,4,7,2,3,5,1]
[4,3,8,7,1,6,2,5]=>[7,6,4,3,2,1,8,5]
[1,5,3,8,4,7,2,6]=>[1,7,5,8,3,2,4,6]
[8,2,3,1,6,5,7,4]=>[3,8,2,7,6,1,5,4]
[8,4,2,7,1,3,6,5]=>[7,4,1,8,6,3,2,5]
[8,4,2,3,1,6,7,5]=>[3,4,2,8,7,1,6,5]
[4,7,2,3,6,5,8,1]=>[8,7,2,4,6,3,5,1]
[3,8,2,6,4,7,1,5]=>[7,8,3,6,1,2,4,5]
[1,7,5,8,6,2,4,3]=>[1,6,4,2,8,7,3,5]
[6,5,1,7,4,8,3,2]=>[5,3,6,8,7,2,1,4]
[5,3,6,1,8,4,7,2]=>[6,7,5,8,3,1,4,2]
[4,2,1,8,5,7,6,3]=>[2,4,6,1,7,8,3,5]
[5,2,1,7,8,4,6,3]=>[2,5,6,8,1,4,7,3]
[4,2,8,6,3,7,1,5]=>[7,4,6,2,1,8,3,5]
[1,3,2,8,6,4,7,5]=>[1,3,2,6,8,7,5,4]
[4,8,2,6,7,3,1,5]=>[3,7,8,4,2,1,6,5]
[7,8,2,1,5,6,3,4]=>[2,8,6,3,1,5,7,4]
[7,2,6,4,8,5,1,3]=>[5,8,2,7,6,4,1,3]
[2,5,7,1,6,4,3,8]=>[7,2,4,6,5,1,3,8]
[5,1,4,6,3,8,7,2]=>[5,7,6,1,4,3,8,2]
[5,2,6,4,3,7,1,8]=>[7,5,4,6,2,3,1,8]
[1,4,8,7,5,6,3,2]=>[1,3,6,4,7,5,8,2]
[4,2,3,7,6,8,1,5]=>[8,4,2,3,1,7,6,5]
[3,1,7,4,2,6,5,8]=>[3,4,1,7,6,2,5,8]
[4,6,7,1,3,5,2,8]=>[7,5,1,4,3,6,2,8]
[3,6,1,4,8,5,7,2]=>[6,7,3,1,8,4,5,2]
[7,3,2,6,4,1,5,8]=>[4,3,6,7,2,1,5,8]
[6,2,7,5,3,4,8,1]=>[8,6,5,3,7,2,4,1]
[3,2,4,8,1,7,5,6]=>[8,3,2,4,7,5,1,6]
[7,6,3,5,1,4,8,2]=>[5,8,6,1,3,7,4,2]
[6,5,4,1,7,2,3,8]=>[4,5,2,6,7,1,3,8]
[8,3,6,1,7,4,5,2]=>[6,5,8,7,4,3,1,2]
[7,1,2,6,4,8,3,5]=>[7,1,8,6,3,2,4,5]
[3,5,1,8,6,2,4,7]=>[5,6,3,2,1,8,4,7]
[5,4,6,2,1,8,3,7]=>[2,6,8,5,4,1,3,7]
[5,6,4,8,1,2,3,7]=>[8,1,2,6,5,4,3,7]
[4,6,1,3,7,8,2,5]=>[6,8,1,4,2,3,7,5]
[5,4,7,3,8,6,2,1]=>[2,6,8,5,4,7,1,3]
[2,7,5,6,1,3,8,4]=>[6,2,1,8,7,5,3,4]
[7,2,4,5,1,6,8,3]=>[5,7,8,2,4,1,6,3]
[4,2,5,8,7,6,1,3]=>[6,4,1,2,5,7,8,3]
[4,7,2,5,8,6,1,3]=>[6,8,2,4,1,7,5,3]
[1,8,7,5,4,6,2,3]=>[1,6,2,5,7,4,8,3]
[3,8,1,4,7,5,6,2]=>[8,6,3,1,7,5,4,2]
[6,4,1,5,3,8,7,2]=>[4,6,7,5,2,1,8,3]
[8,1,6,7,4,5,3,2]=>[8,3,5,7,4,1,6,2]
[4,6,7,2,3,5,1,8]=>[5,7,2,4,3,6,1,8]
[8,6,1,4,7,5,3,2]=>[6,3,5,2,8,7,4,1]
[8,1,6,4,7,5,3,2]=>[8,3,5,7,6,1,2,4]
[6,4,8,1,5,3,7,2]=>[8,7,5,6,1,4,3,2]
[2,6,3,8,1,5,7,4]=>[8,2,6,7,1,3,5,4]
[4,1,3,8,6,7,5,2]=>[4,5,1,3,7,8,6,2]
[4,8,5,2,3,7,1,6]=>[7,5,2,4,8,1,3,6]
[4,8,6,1,3,7,5,2]=>[6,5,2,4,8,7,3,1]
[6,2,4,7,5,1,3,8]=>[5,7,2,1,6,4,3,8]
[8,2,4,5,7,1,3,6]=>[7,8,1,2,4,3,5,6]
[5,1,8,6,3,7,2,4]=>[5,7,6,2,1,8,3,4]
[8,1,3,7,4,6,2,5]=>[8,6,1,7,2,4,3,5]
[8,1,5,7,4,3,6,2]=>[8,6,4,7,1,3,5,2]
[8,3,6,2,7,1,4,5]=>[7,6,8,1,4,3,2,5]
[3,1,4,7,5,2,6,8]=>[3,5,1,4,7,2,6,8]
[7,1,4,6,2,3,5,8]=>[7,6,2,1,3,4,5,8]
[1,6,4,3,5,8,2,7]=>[1,8,4,6,3,5,2,7]
[5,1,4,3,7,8,6,2]=>[5,6,4,1,3,8,7,2]
[6,4,1,5,8,2,3,7]=>[4,6,1,8,2,5,3,7]
[5,7,6,2,1,8,4,3]=>[2,6,4,7,5,8,3,1]
[5,7,1,8,6,3,2,4]=>[7,3,6,2,5,8,1,4]
[5,8,1,6,3,2,7,4]=>[8,3,6,7,5,1,2,4]
[7,4,6,8,2,5,1,3]=>[5,8,1,7,2,4,6,3]
[2,7,6,3,5,1,8,4]=>[5,2,6,7,4,8,1,3]
[8,4,3,1,6,7,2,5]=>[3,4,8,7,2,1,6,5]
[2,8,7,5,3,4,6,1]=>[6,2,5,3,7,4,8,1]
[5,7,6,3,4,2,1,8]=>[2,4,6,3,5,7,1,8]
[1,5,7,3,4,2,6,8]=>[1,4,7,3,5,2,6,8]
[2,5,7,6,3,4,1,8]=>[4,2,6,3,5,7,1,8]
[4,6,5,1,7,8,3,2]=>[5,3,6,4,8,2,7,1]
[2,1,6,4,3,7,5,8]=>[2,1,4,6,7,3,5,8]
[2,6,7,3,5,1,4,8]=>[5,2,7,1,3,6,4,8]
[8,4,7,6,1,3,2,5]=>[6,3,1,7,4,8,2,5]
[5,6,2,4,7,1,3,8]=>[7,6,1,2,5,4,3,8]
[5,7,8,1,3,6,2,4]=>[8,6,1,2,5,3,7,4]
[4,1,3,7,6,5,2,8]=>[4,5,1,3,6,7,2,8]
[3,4,1,7,2,6,5,8]=>[4,7,3,1,6,2,5,8]
[2,8,3,5,1,6,7,4]=>[5,2,8,7,3,1,6,4]
[3,4,6,2,7,5,1,8]=>[5,7,3,4,6,1,2,8]
[4,3,6,1,2,7,8,5]=>[6,1,4,3,8,2,7,5]
[3,7,6,2,5,1,8,4]=>[5,6,3,7,4,8,1,2]
[3,4,1,8,7,2,5,6]=>[4,7,3,1,2,5,8,6]
[2,7,8,6,4,3,1,5]=>[3,2,4,6,1,8,7,5]
[5,7,6,2,1,3,4,8]=>[2,6,1,3,5,7,4,8]
[2,7,4,3,6,1,5,8]=>[6,2,4,7,1,3,5,8]
[4,7,2,5,3,1,6,8]=>[3,5,7,4,1,2,6,8]
[4,1,6,5,3,2,8,7]=>[4,3,5,1,6,2,8,7]
[7,8,3,5,1,6,2,4]=>[5,6,8,2,3,1,7,4]
[5,1,7,8,2,6,3,4]=>[5,8,6,3,1,2,7,4]
[7,2,6,1,3,5,8,4]=>[6,7,1,8,3,2,5,4]
[6,2,7,1,5,8,3,4]=>[7,6,8,3,1,2,5,4]
[7,4,3,6,1,8,2,5]=>[6,8,4,7,2,3,1,5]
[6,8,5,3,2,4,7,1]=>[7,3,5,2,8,6,4,1]
[2,5,7,4,6,1,8,3]=>[6,2,8,7,5,4,1,3]
[5,8,3,4,6,2,7,1]=>[7,6,8,3,5,4,2,1]
[7,8,6,1,5,4,2,3]=>[6,4,2,5,1,8,7,3]
[7,3,6,1,5,2,8,4]=>[6,5,7,8,1,3,2,4]
[8,6,3,4,1,5,7,2]=>[4,7,6,3,1,8,5,2]
[5,8,3,6,7,2,4,1]=>[4,7,8,2,5,3,6,1]
[8,1,6,2,5,7,4,3]=>[8,6,4,7,2,1,5,3]
[2,7,1,5,3,6,8,4]=>[7,2,5,8,1,3,6,4]
[6,8,7,3,4,2,5,1]=>[5,4,7,3,2,6,8,1]
[1,8,6,2,4,7,5,3]=>[1,6,5,3,8,7,4,2]
[4,1,6,3,2,8,7,5]=>[4,3,6,1,7,2,8,5]
[2,4,1,8,7,5,6,3]=>[4,2,6,1,7,5,8,3]
[2,8,7,5,1,4,6,3]=>[5,2,7,3,6,4,8,1]
[5,7,3,6,4,2,1,8]=>[2,4,6,7,5,1,3,8]
[5,7,3,6,4,1,8,2]=>[4,6,8,7,5,1,2,3]
[3,7,5,6,4,1,8,2]=>[4,6,3,8,7,5,2,1]
[2,8,1,4,5,3,6,7]=>[8,2,5,1,4,3,6,7]
[6,2,5,3,8,1,7,4]=>[8,6,5,7,2,3,1,4]
[5,3,2,6,7,8,1,4]=>[8,3,5,1,2,6,7,4]
[8,4,5,7,3,2,1,6]=>[2,3,7,8,4,1,5,6]
[7,4,6,5,3,2,1,8]=>[2,3,5,6,7,1,4,8]
[7,5,1,3,4,2,8,6]=>[5,4,1,3,7,8,2,6]
[2,8,5,7,3,4,6,1]=>[6,2,7,3,8,4,5,1]
[8,5,1,3,4,2,6,7]=>[5,4,1,3,8,2,6,7]
[6,1,5,3,4,2,7,8]=>[6,4,5,3,1,2,7,8]
[5,2,3,6,4,7,1,8]=>[7,5,2,6,3,4,1,8]
[6,8,4,5,3,2,1,7]=>[2,3,5,8,4,6,1,7]
[2,8,7,4,3,6,5,1]=>[5,2,4,6,7,1,8,3]
[4,8,1,3,5,2,6,7]=>[8,5,1,4,3,2,6,7]
[6,7,2,3,5,8,1,4]=>[8,7,2,1,3,6,5,4]
[7,4,5,8,2,3,1,6]=>[3,8,2,7,4,1,5,6]
[2,1,3,8,5,4,6,7]=>[2,1,3,5,8,4,6,7]
[5,3,6,8,2,4,1,7]=>[4,8,5,2,3,6,1,7]
[1,7,8,6,3,2,4,5]=>[1,3,6,2,4,8,7,5]
[7,1,2,5,3,8,4,6]=>[7,1,5,8,2,4,3,6]
[3,7,4,2,5,1,8,6]=>[5,4,3,7,2,8,1,6]
[1,8,3,4,5,7,2,6]=>[1,7,8,3,4,2,5,6]
[7,5,8,2,3,4,6,1]=>[6,8,2,3,7,4,5,1]
[4,7,5,8,2,3,6,1]=>[6,8,2,4,7,3,5,1]
[2,6,7,5,3,8,1,4]=>[8,2,5,1,7,6,3,4]
[4,5,2,6,8,7,1,3]=>[7,5,1,4,2,6,8,3]
[4,5,2,6,8,3,1,7]=>[3,8,5,4,1,6,2,7]
[4,6,5,7,2,1,3,8]=>[2,7,1,4,6,5,3,8]
[6,7,5,2,1,4,3,8]=>[2,5,4,1,7,6,3,8]
[3,1,2,5,8,6,7,4]=>[3,1,2,7,5,8,6,4]
[7,6,2,5,4,3,8,1]=>[8,6,4,5,2,7,3,1]
[8,2,6,7,3,5,4,1]=>[4,5,8,7,1,3,6,2]
[4,1,2,5,7,8,6,3]=>[4,1,6,2,5,8,7,3]
[4,5,7,6,2,1,3,8]=>[2,6,1,4,5,7,3,8]
[7,8,2,6,5,4,3,1]=>[3,4,5,6,8,1,7,2]
[5,3,7,8,4,2,1,6]=>[2,4,8,5,1,3,7,6]
[7,3,6,8,1,5,4,2]=>[8,4,5,7,1,2,6,3]
[3,4,6,7,2,5,1,8]=>[5,7,3,4,2,6,1,8]
[7,5,8,2,4,3,6,1]=>[6,8,4,2,7,3,5,1]
[6,5,8,2,3,4,1,7]=>[4,8,2,3,6,5,1,7]
[8,1,5,3,4,6,2,7]=>[8,6,5,3,1,4,2,7]
[5,8,7,2,4,3,6,1]=>[6,7,4,2,5,3,8,1]
[1,7,2,4,8,5,6,3]=>[1,7,6,2,8,5,4,3]
[5,8,2,3,7,4,6,1]=>[6,8,2,7,5,4,3,1]
[7,8,2,3,5,4,6,1]=>[6,8,2,5,3,4,7,1]
[8,4,1,3,2,6,5,7]=>[4,3,1,8,6,2,5,7]
[8,7,2,3,5,4,6,1]=>[6,7,2,5,3,4,8,1]
[1,7,6,8,4,5,3,2]=>[1,3,5,8,4,7,6,2]
[2,7,3,1,8,5,6,4]=>[3,2,7,6,8,5,1,4]
[3,8,5,2,1,6,7,4]=>[2,5,3,8,7,4,6,1]
[6,4,5,2,1,8,7,3]=>[2,5,7,6,4,1,8,3]
[7,4,1,3,8,6,2,5]=>[4,7,2,6,1,8,3,5]
[6,1,2,4,7,8,5,3]=>[6,1,5,2,8,4,7,3]
[4,3,8,6,1,5,7,2]=>[6,8,4,3,2,7,5,1]
[2,6,3,4,8,5,7,1]=>[7,2,6,3,8,4,5,1]
[5,3,8,2,1,7,4,6]=>[2,8,5,7,3,4,1,6]
[6,5,4,2,3,8,7,1]=>[7,4,2,5,6,3,8,1]
[1,5,3,4,2,8,6,7]=>[1,4,5,3,2,8,6,7]
[5,6,4,1,2,8,3,7]=>[4,1,6,8,5,3,2,7]
[2,1,5,3,7,6,4,8]=>[2,1,5,6,3,7,4,8]
[2,5,1,3,8,6,4,7]=>[5,2,1,6,3,8,4,7]
[2,1,4,7,3,6,5,8]=>[2,1,7,4,6,3,5,8]
[3,1,4,7,2,6,8,5]=>[3,7,1,4,8,2,6,5]
[2,1,7,3,5,4,6,8]=>[2,1,7,5,3,4,6,8]
[2,8,6,1,5,7,4,3]=>[6,2,4,8,3,7,5,1]
[8,3,5,1,7,6,4,2]=>[5,4,6,7,3,8,1,2]
[8,3,5,4,7,1,6,2]=>[7,6,8,5,3,1,4,2]
[6,4,1,5,7,8,2,3]=>[4,6,1,8,2,5,7,3]
[4,8,7,1,2,5,3,6]=>[7,1,5,4,2,3,8,6]
[8,7,2,6,1,4,3,5]=>[6,7,4,1,3,2,8,5]
[6,1,7,3,8,2,4,5]=>[6,8,7,2,4,1,3,5]
[7,1,8,6,4,2,3,5]=>[7,4,2,6,3,8,1,5]
[8,6,5,1,3,7,2,4]=>[5,6,1,2,8,7,3,4]
[1,5,6,4,3,8,2,7]=>[1,8,4,6,5,3,2,7]
[4,1,3,5,8,2,6,7]=>[4,8,1,3,5,2,6,7]
[1,6,2,4,5,3,8,7]=>[1,6,5,2,4,3,8,7]
[1,8,2,4,6,5,7,3]=>[1,8,7,2,6,4,5,3]
[1,8,2,6,4,3,7,5]=>[1,8,4,6,7,2,3,5]
[1,6,4,3,8,7,2,5]=>[1,7,4,6,2,3,8,5]
[8,4,6,1,5,7,2,3]=>[6,7,2,8,1,4,5,3]
[3,8,2,4,6,5,7,1]=>[7,8,3,2,6,4,5,1]
[8,4,2,1,6,5,7,3]=>[2,4,8,7,6,3,5,1]
[6,8,7,1,4,2,3,5]=>[7,4,2,1,3,6,8,5]
[6,8,7,4,5,2,1,3]=>[2,5,1,7,4,6,8,3]
[1,8,5,7,4,6,3,2]=>[1,3,6,7,8,4,5,2]
[1,4,7,6,8,3,5,2]=>[1,5,8,4,3,7,6,2]
[1,7,2,8,6,5,3,4]=>[1,7,5,3,6,8,2,4]
[5,7,1,6,4,2,3,8]=>[7,4,2,6,5,1,3,8]
[4,8,2,7,5,1,6,3]=>[5,7,8,4,6,2,3,1]
[2,8,4,6,7,1,5,3]=>[7,2,5,8,1,4,6,3]
[3,8,5,1,4,2,6,7]=>[5,4,3,1,8,2,6,7]
[1,7,6,2,5,3,8,4]=>[1,6,5,7,4,8,3,2]
[1,7,5,2,4,3,8,6]=>[1,5,4,2,7,8,3,6]
[2,8,5,1,4,3,6,7]=>[5,2,4,1,8,3,6,7]
[7,1,2,4,5,3,8,6]=>[7,1,5,2,4,8,3,6]
[7,6,8,1,2,4,5,3]=>[8,1,5,2,4,7,6,3]
[7,1,3,5,2,4,8,6]=>[7,5,1,2,3,8,4,6]
[2,5,7,1,3,6,8,4]=>[7,2,1,8,5,3,6,4]
[3,6,5,2,8,4,7,1]=>[7,5,3,6,8,4,2,1]
[3,8,7,1,4,6,2,5]=>[7,6,3,1,2,4,8,5]
[3,4,8,6,1,7,2,5]=>[6,8,3,4,1,7,2,5]
[4,7,6,2,3,5,8,1]=>[8,6,2,4,3,7,5,1]
[4,7,1,6,2,5,8,3]=>[7,6,8,4,2,1,5,3]
[5,4,1,8,2,6,7,3]=>[4,5,8,7,2,3,6,1]
[2,7,6,1,5,3,4,8]=>[6,2,5,3,1,7,4,8]
[7,2,4,5,3,8,6,1]=>[6,8,5,1,4,7,3,2]
[2,7,1,4,6,5,8,3]=>[7,2,8,1,6,4,5,3]
[6,3,5,7,8,4,1,2]=>[4,1,8,6,2,5,7,3]
[7,6,3,5,4,8,2,1]=>[2,8,6,5,3,7,4,1]
[4,2,6,8,3,7,5,1]=>[5,4,7,2,8,6,1,3]
[5,4,8,1,3,6,2,7]=>[8,6,1,5,4,3,2,7]
[5,2,4,8,3,6,7,1]=>[7,5,8,2,4,3,6,1]
[3,4,2,5,7,1,6,8]=>[7,4,3,2,5,1,6,8]
[3,2,4,6,1,7,5,8]=>[6,3,2,4,7,1,5,8]
[3,7,6,2,1,5,4,8]=>[2,6,3,5,1,7,4,8]
[2,6,8,3,4,1,5,7]=>[4,2,8,3,1,6,5,7]
[3,1,6,5,8,4,2,7]=>[3,4,1,8,6,5,2,7]
[2,7,1,4,8,5,3,6]=>[7,2,5,1,8,3,4,6]
[5,1,3,8,6,4,7,2]=>[5,7,1,6,3,8,4,2]
[1,5,6,7,4,2,8,3]=>[1,4,7,8,5,6,3,2]
[6,1,7,8,3,5,4,2]=>[6,4,5,8,2,1,7,3]
[6,4,1,3,5,7,8,2]=>[4,6,2,8,3,5,7,1]
[4,3,5,7,8,6,1,2]=>[6,1,4,3,5,8,7,2]
[7,2,1,3,6,4,5,8]=>[2,7,1,6,4,3,5,8]
[7,4,3,6,1,5,8,2]=>[6,8,4,7,1,3,5,2]
[6,2,1,3,5,7,8,4]=>[2,6,1,8,3,5,7,4]
[2,3,7,6,1,4,5,8]=>[6,2,3,1,4,7,5,8]
[7,8,2,1,3,5,6,4]=>[2,8,1,6,3,5,7,4]
[3,6,2,1,5,7,8,4]=>[2,6,3,8,1,5,7,4]
[7,2,4,1,5,6,3,8]=>[4,7,6,2,1,5,3,8]
[3,1,2,5,7,6,8,4]=>[3,1,2,8,5,7,6,4]
[5,1,7,3,2,6,8,4]=>[5,3,7,8,1,2,6,4]
[4,7,2,3,5,1,6,8]=>[5,7,2,4,3,1,6,8]
[4,8,2,3,7,5,1,6]=>[5,7,1,4,8,2,3,6]
[8,7,2,4,3,5,6,1]=>[6,7,4,2,3,5,8,1]
[8,6,2,4,3,5,1,7]=>[5,6,4,2,3,8,1,7]
[8,1,2,4,7,3,5,6]=>[8,1,7,2,3,5,4,6]
[7,6,2,8,4,5,1,3]=>[5,6,1,7,2,8,4,3]
[2,5,7,3,1,6,4,8]=>[3,2,7,6,5,1,4,8]
[8,2,6,4,3,7,1,5]=>[7,8,4,6,1,2,3,5]
[2,4,3,6,1,5,7,8]=>[6,2,4,3,1,5,7,8]
[8,7,3,4,2,1,6,5]=>[2,4,7,3,6,1,8,5]
[4,5,6,8,2,1,3,7]=>[2,8,1,4,5,6,3,7]
[8,7,1,3,6,4,5,2]=>[7,5,1,6,4,3,8,2]
[2,1,5,7,4,6,3,8]=>[2,1,6,7,5,4,3,8]
[6,8,1,5,7,3,2,4]=>[8,3,7,2,1,6,5,4]
[8,2,3,5,7,6,1,4]=>[6,7,1,2,3,8,5,4]
[5,8,6,1,2,3,7,4]=>[6,1,2,8,5,7,4,3]
[5,4,8,6,1,3,7,2]=>[6,8,2,5,4,7,3,1]
[8,4,5,6,7,1,3,2]=>[7,3,1,8,4,5,6,2]
[7,8,4,6,5,2,1,3]=>[2,5,1,6,8,3,7,4]
[7,2,6,4,1,5,8,3]=>[4,6,7,8,2,3,5,1]
[5,2,7,1,6,3,8,4]=>[7,5,6,8,2,1,3,4]
[1,7,2,5,3,6,8,4]=>[1,7,5,8,2,3,6,4]
[7,4,6,3,2,5,1,8]=>[5,3,6,7,2,4,1,8]
[6,2,5,7,1,8,3,4]=>[7,6,8,3,2,5,1,4]
[4,1,3,5,7,2,6,8]=>[4,7,1,3,5,2,6,8]
[4,1,8,2,7,6,5,3]=>[4,8,5,1,6,7,2,3]
[1,5,8,4,3,6,2,7]=>[1,6,4,8,5,3,2,7]
[1,5,2,6,7,4,8,3]=>[1,5,8,7,2,6,4,3]
[6,1,7,3,2,5,4,8]=>[6,3,7,5,2,1,4,8]
[1,6,5,3,8,7,4,2]=>[1,4,7,5,6,2,8,3]
[4,1,7,5,6,8,2,3]=>[4,8,2,1,7,5,6,3]
[7,8,2,3,1,4,6,5]=>[3,8,2,1,6,4,7,5]
[6,2,3,8,1,4,7,5]=>[8,6,2,1,7,3,4,5]
[5,2,7,6,1,4,8,3]=>[6,5,7,3,2,8,4,1]
[3,7,6,2,1,4,5,8]=>[2,6,3,1,4,7,5,8]
[4,2,1,6,7,5,8,3]=>[2,4,8,1,7,6,5,3]
[5,1,7,6,4,3,8,2]=>[5,8,4,6,1,7,3,2]
[1,5,8,3,7,2,4,6]=>[1,7,8,2,5,4,3,6]
[5,8,2,6,7,3,1,4]=>[3,7,8,2,5,1,6,4]
[4,7,2,3,6,1,5,8]=>[6,7,2,4,1,3,5,8]
[5,1,3,7,6,8,2,4]=>[5,8,1,2,3,7,6,4]
[1,6,8,7,2,5,4,3]=>[1,7,4,5,2,6,8,3]
[3,4,1,6,5,2,8,7]=>[4,5,3,1,6,2,8,7]
[4,2,3,6,1,7,5,8]=>[6,4,2,3,7,1,5,8]
[5,3,1,6,7,2,8,4]=>[3,5,7,8,2,6,1,4]
[4,1,8,5,3,7,6,2]=>[4,6,5,1,7,8,2,3]
[3,8,4,5,2,6,1,7]=>[6,5,3,8,4,2,1,7]
[5,1,6,8,7,4,3,2]=>[5,3,4,7,1,6,8,2]
[3,8,2,4,5,6,1,7]=>[6,8,3,2,4,5,1,7]
[1,4,8,7,6,3,5,2]=>[1,5,6,4,3,7,8,2]
[8,1,6,3,7,5,2,4]=>[8,5,7,3,6,1,2,4]
[4,5,8,6,2,3,1,7]=>[3,6,2,4,5,8,1,7]
[5,4,7,1,8,2,3,6]=>[7,8,2,5,4,3,1,6]
[5,1,3,6,2,8,4,7]=>[5,6,1,8,3,2,4,7]
[4,3,2,7,6,8,1,5]=>[8,3,4,2,1,7,6,5]
[4,8,3,2,1,6,5,7]=>[2,3,8,4,6,1,5,7]
[1,4,3,2,7,5,6,8]=>[1,3,4,2,7,5,6,8]
[4,3,2,8,6,7,1,5]=>[7,3,4,2,1,8,6,5]
[4,3,1,2,5,7,8,6]=>[3,1,4,2,5,8,7,6]
[2,5,3,6,1,4,8,7]=>[6,2,5,1,3,4,8,7]
[3,4,2,1,5,8,6,7]=>[2,4,3,1,5,8,6,7]
[2,5,3,7,1,4,8,6]=>[7,2,5,1,3,8,4,6]
[2,5,3,6,1,7,8,4]=>[6,2,5,8,3,1,7,4]
[5,4,3,1,7,6,8,2]=>[3,4,5,8,1,7,6,2]
[4,5,2,7,1,8,3,6]=>[7,5,8,4,2,3,1,6]
[6,5,2,8,7,4,1,3]=>[4,7,2,5,6,1,8,3]
[3,1,8,4,5,2,7,6]=>[3,5,1,8,4,7,2,6]
[2,3,7,6,1,8,4,5]=>[6,2,3,7,1,8,4,5]
[4,8,5,2,1,3,7,6]=>[2,5,1,4,8,7,3,6]
[5,8,4,2,1,3,7,6]=>[2,4,1,8,5,7,3,6]
[4,6,7,5,2,3,1,8]=>[3,5,2,4,7,6,1,8]
[6,2,5,3,1,8,7,4]=>[3,5,6,7,1,2,8,4]
[6,2,5,3,8,7,1,4]=>[7,6,5,1,2,3,8,4]
[6,4,5,3,8,7,1,2]=>[7,1,5,6,4,3,8,2]
[1,6,4,5,8,7,3,2]=>[1,3,7,6,4,5,8,2]
[8,4,7,5,2,3,1,6]=>[3,5,2,7,8,4,1,6]
[8,2,7,4,5,3,1,6]=>[3,5,8,7,4,2,1,6]
[8,2,4,7,5,3,1,6]=>[3,5,7,2,8,1,4,6]
[8,2,6,7,5,3,1,4]=>[3,5,7,1,8,2,6,4]
[8,4,6,7,5,3,1,2]=>[3,1,5,7,8,2,6,4]
[6,4,5,8,7,3,1,2]=>[3,1,7,6,4,5,8,2]
[6,2,8,7,5,3,1,4]=>[3,5,7,1,6,2,8,4]
[4,6,5,3,8,7,1,2]=>[7,1,5,4,6,3,8,2]
[6,7,2,4,5,3,1,8]=>[3,5,7,1,4,6,2,8]
[6,8,7,4,5,3,1,2]=>[3,1,5,7,4,6,8,2]
[2,8,4,7,5,3,1,6]=>[3,2,5,7,8,4,1,6]
[5,8,7,4,6,3,1,2]=>[3,1,6,7,5,4,8,2]
[6,5,8,4,7,2,1,3]=>[2,7,1,8,6,5,4,3]
[4,8,6,2,5,7,1,3]=>[7,6,1,4,2,8,5,3]
[8,1,6,2,5,7,3,4]=>[8,6,7,3,2,1,5,4]
[6,8,1,2,4,7,3,5]=>[8,1,7,2,3,6,4,5]
[8,1,5,3,2,7,4,6]=>[8,3,5,7,1,4,2,6]
[5,2,8,6,1,4,7,3]=>[6,5,8,3,2,7,4,1]
[8,6,1,3,4,7,2,5]=>[6,8,2,3,1,7,4,5]
[5,3,7,8,1,2,6,4]=>[8,1,5,6,3,2,7,4]
[8,6,1,3,7,4,2,5]=>[6,4,2,8,1,7,3,5]
[6,1,2,8,3,7,5,4]=>[6,1,8,5,7,2,3,4]
[7,8,1,2,6,4,3,5]=>[8,1,4,6,3,2,7,5]
[8,7,2,5,3,4,1,6]=>[4,7,5,3,2,1,8,6]
[4,6,2,3,8,7,1,5]=>[7,6,2,4,1,3,8,5]
[6,7,4,2,8,5,1,3]=>[5,4,2,8,7,6,1,3]
[6,4,2,8,5,7,1,3]=>[7,4,1,6,8,2,5,3]
[8,3,7,6,2,5,4,1]=>[4,5,6,7,1,8,3,2]
[8,6,1,2,5,4,7,3]=>[6,1,8,5,3,7,4,2]
[8,7,1,2,5,6,4,3]=>[7,1,4,6,2,5,8,3]
[4,6,1,3,5,8,2,7]=>[6,8,1,4,3,5,2,7]
[4,5,1,3,8,7,2,6]=>[5,7,1,4,3,2,8,6]
[6,2,7,1,8,3,4,5]=>[7,6,8,3,4,2,1,5]
[6,4,5,8,1,7,2,3]=>[8,7,2,6,4,5,1,3]
[6,2,8,5,1,4,7,3]=>[5,8,6,2,7,3,4,1]
[2,4,7,6,1,8,3,5]=>[6,2,7,4,1,8,3,5]
[7,4,5,8,6,3,2,1]=>[2,3,6,8,1,7,5,4]
[1,6,2,3,8,5,7,4]=>[1,6,2,7,8,3,5,4]
[3,4,2,6,8,5,7,1]=>[7,4,3,2,8,6,5,1]
[1,6,3,2,5,4,8,7]=>[1,3,6,5,2,4,8,7]
[7,1,3,4,5,2,6,8]=>[7,5,1,3,4,2,6,8]
[7,3,1,6,5,8,2,4]=>[3,7,8,1,6,2,5,4]
[6,1,2,7,4,3,5,8]=>[6,1,4,7,3,2,5,8]
[2,7,3,6,5,8,4,1]=>[4,2,8,7,6,1,5,3]
[1,6,7,5,3,2,8,4]=>[1,3,5,7,8,6,4,2]
[7,3,4,6,1,8,2,5]=>[6,8,7,3,2,4,1,5]
[3,7,4,1,2,8,6,5]=>[4,1,3,7,6,8,2,5]
[3,7,4,1,2,6,8,5]=>[4,1,3,7,8,2,6,5]
[5,7,1,2,4,6,8,3]=>[7,1,8,2,5,4,6,3]
[7,4,1,3,6,8,2,5]=>[4,7,2,8,1,3,6,5]
[6,8,1,2,7,3,4,5]=>[8,1,7,3,4,6,2,5]
[1,6,2,8,7,3,4,5]=>[1,6,7,3,4,2,8,5]
[1,6,8,5,7,4,3,2]=>[1,3,4,7,8,6,5,2]
[3,8,1,2,4,7,6,5]=>[8,1,3,2,6,7,4,5]
[1,4,5,7,3,6,8,2]=>[1,8,7,4,5,3,6,2]
[4,6,8,7,1,5,3,2]=>[7,3,5,4,1,6,8,2]
[1,3,8,7,5,2,6,4]=>[1,5,3,7,6,4,8,2]
[8,7,6,4,1,3,5,2]=>[4,6,2,5,3,7,8,1]
[3,2,1,6,4,5,8,7]=>[2,3,1,6,4,5,8,7]
[3,2,4,5,7,1,8,6]=>[7,3,2,4,5,8,1,6]
[3,2,4,6,1,7,8,5]=>[6,3,2,4,8,1,7,5]
[3,2,4,6,1,8,5,7]=>[6,3,2,4,8,1,5,7]
[1,4,5,7,3,6,2,8]=>[1,6,7,4,5,3,2,8]
[2,3,8,1,4,6,5,7]=>[8,2,3,1,6,4,5,7]
[3,6,2,4,7,5,8,1]=>[8,6,3,2,7,4,5,1]
[3,1,8,4,6,2,5,7]=>[3,6,1,8,2,4,5,7]
[4,2,7,3,5,8,1,6]=>[8,4,7,2,3,1,5,6]
[3,1,8,4,5,6,2,7]=>[3,6,1,8,4,5,2,7]
[4,2,7,8,6,3,1,5]=>[3,6,4,1,2,8,7,5]
[7,1,4,2,8,6,3,5]=>[7,4,6,1,3,8,2,5]
[2,3,7,4,8,1,6,5]=>[8,2,3,7,6,1,4,5]
[7,1,3,6,8,4,5,2]=>[7,5,1,8,4,3,6,2]
[7,4,3,1,2,6,8,5]=>[3,1,4,7,8,2,6,5]
[1,6,3,5,8,7,4,2]=>[1,4,7,6,2,5,8,3]
[8,4,6,3,5,1,7,2]=>[5,7,6,8,3,4,1,2]
[7,3,2,6,8,4,5,1]=>[5,3,7,8,4,2,6,1]
[2,4,5,7,1,6,8,3]=>[7,2,8,4,5,1,6,3]
[8,4,2,6,7,3,5,1]=>[5,4,8,7,2,3,6,1]
[1,4,2,7,5,6,3,8]=>[1,4,6,2,7,5,3,8]
[8,1,7,6,3,5,2,4]=>[8,5,6,2,3,7,1,4]
[4,3,2,8,7,5,6,1]=>[6,3,4,2,7,5,8,1]
[5,2,4,8,7,3,6,1]=>[6,5,7,2,4,3,8,1]
[1,3,8,7,4,5,2,6]=>[1,5,3,7,4,2,8,6]
[5,1,4,2,6,3,7,8]=>[5,4,6,1,2,3,7,8]
[7,1,2,4,6,3,5,8]=>[7,1,6,2,3,4,5,8]
[1,6,5,2,4,3,7,8]=>[1,5,4,2,6,3,7,8]
[1,6,5,3,4,7,2,8]=>[1,7,5,3,6,4,2,8]
[7,8,2,3,5,6,4,1]=>[4,6,1,8,3,5,7,2]
[7,1,3,4,6,5,2,8]=>[7,5,1,3,6,4,2,8]
[6,1,3,5,4,7,2,8]=>[6,7,1,5,3,4,2,8]
[4,1,5,7,8,6,2,3]=>[4,6,2,1,5,8,7,3]
[6,1,4,8,2,3,7,5]=>[6,8,2,1,7,4,3,5]
[7,6,2,3,5,8,4,1]=>[4,8,1,6,3,7,5,2]
[2,8,5,7,6,3,4,1]=>[4,2,6,3,7,8,1,5]
[2,5,7,8,6,4,1,3]=>[4,2,1,6,5,8,7,3]
[7,4,1,6,2,5,8,3]=>[4,7,6,8,3,2,5,1]
[8,7,4,6,2,5,3,1]=>[3,5,6,7,1,4,8,2]
[8,1,7,4,6,5,2,3]=>[8,5,2,6,7,3,1,4]
[8,4,1,7,6,2,5,3]=>[4,8,6,5,3,7,2,1]
[1,7,5,4,6,2,3,8]=>[1,6,2,5,7,4,3,8]
[6,2,7,5,3,1,4,8]=>[3,5,7,1,6,2,4,8]
[6,1,7,4,8,5,2,3]=>[6,5,2,8,7,1,3,4]
[8,2,4,6,3,1,7,5]=>[3,6,8,1,7,4,2,5]
[7,4,1,8,6,2,5,3]=>[4,7,6,5,3,8,2,1]
[1,8,6,2,7,5,3,4]=>[1,6,5,2,8,7,3,4]
[2,8,5,1,7,6,3,4]=>[5,2,8,1,6,7,3,4]
[4,8,7,1,6,2,5,3]=>[7,6,5,4,2,1,8,3]
[5,2,8,6,4,3,1,7]=>[3,4,6,5,2,8,1,7]
[1,8,3,7,5,4,2,6]=>[1,4,5,7,8,2,3,6]
[3,8,7,1,6,2,4,5]=>[7,6,3,2,4,1,8,5]
[2,8,4,3,1,7,5,6]=>[3,2,4,8,7,5,1,6]
[7,3,6,8,5,4,2,1]=>[2,4,5,8,7,3,6,1]
[5,6,2,4,8,7,3,1]=>[3,7,6,1,5,4,8,2]
[3,6,5,8,4,1,2,7]=>[4,1,3,8,6,5,2,7]
[8,5,6,2,3,7,4,1]=>[4,7,1,6,8,5,3,2]
[7,8,1,4,5,6,2,3]=>[8,6,2,1,4,5,7,3]
[8,3,1,2,5,4,7,6]=>[3,1,8,5,2,7,4,6]
[8,1,5,3,7,4,2,6]=>[8,4,7,5,1,3,2,6]
[1,2,6,7,8,3,5,4]=>[1,2,8,5,3,6,7,4]
[1,2,4,8,6,7,3,5]=>[1,2,7,4,3,8,6,5]
[8,1,2,6,5,7,3,4]=>[8,1,7,3,6,2,5,4]
[7,1,2,6,5,8,3,4]=>[7,1,8,3,6,2,5,4]
[2,7,1,4,5,6,8,3]=>[7,2,8,1,4,5,6,3]
[5,4,7,8,6,2,3,1]=>[3,6,2,5,4,8,7,1]
[3,7,5,6,4,8,2,1]=>[2,8,3,6,7,5,4,1]
[7,4,8,3,5,6,2,1]=>[2,6,8,7,3,5,4,1]
[3,1,8,6,4,5,7,2]=>[3,7,1,6,4,8,5,2]
[2,6,1,4,7,5,8,3]=>[6,2,8,1,7,4,5,3]
[3,1,5,7,2,6,8,4]=>[3,7,1,8,5,2,6,4]
[3,1,7,5,2,6,8,4]=>[3,5,1,7,8,4,6,2]
[3,2,7,5,1,6,8,4]=>[5,3,2,7,8,4,6,1]
[5,2,7,3,1,6,8,4]=>[3,7,5,8,1,2,6,4]
[6,7,2,1,3,4,8,5]=>[2,7,1,3,8,6,4,5]
[4,6,3,1,2,7,8,5]=>[3,1,6,4,8,2,7,5]
[5,3,4,6,8,1,7,2]=>[8,7,5,3,4,6,1,2]
[4,5,6,8,2,7,1,3]=>[7,8,1,4,5,6,2,3]
[1,7,2,5,8,4,6,3]=>[1,7,6,8,2,4,5,3]
[4,7,1,3,8,5,2,6]=>[7,5,1,4,8,2,3,6]
[2,5,3,8,7,1,4,6]=>[7,2,5,1,3,4,8,6]
[5,1,3,7,6,8,4,2]=>[5,4,1,8,3,7,6,2]
[5,7,2,4,6,8,3,1]=>[3,8,7,1,5,4,6,2]
[8,2,6,4,3,1,5,7]=>[3,4,6,8,1,2,5,7]
[2,3,8,1,5,4,6,7]=>[8,2,3,5,1,4,6,7]
[2,3,5,6,8,4,7,1]=>[7,2,3,8,5,6,4,1]
[2,4,5,8,3,6,7,1]=>[7,2,8,4,5,3,6,1]
[3,1,6,4,2,7,5,8]=>[3,4,1,6,7,2,5,8]
[4,5,7,8,3,6,1,2]=>[6,1,8,4,5,3,7,2]
[8,4,6,2,5,3,1,7]=>[3,5,6,8,1,4,2,7]
[4,1,7,5,3,6,8,2]=>[4,8,5,1,7,3,6,2]
[7,3,8,5,1,6,2,4]=>[5,8,6,3,7,2,1,4]
[4,6,3,1,2,5,8,7]=>[3,1,6,4,2,5,8,7]
[1,6,5,3,4,2,7,8]=>[1,4,5,3,6,2,7,8]
[1,7,5,4,2,3,8,6]=>[1,4,2,5,7,8,3,6]
[8,1,6,5,4,2,3,7]=>[8,4,2,5,6,1,3,7]
[5,1,7,6,4,8,2,3]=>[5,8,2,6,1,7,4,3]
[5,7,3,6,2,4,8,1]=>[8,6,7,2,5,3,4,1]
[2,3,7,1,4,6,8,5]=>[7,2,3,1,8,4,6,5]
[2,6,5,1,7,4,8,3]=>[5,2,6,8,7,3,1,4]
[5,7,1,6,2,4,8,3]=>[7,6,8,2,5,1,4,3]
[6,1,2,4,7,5,8,3]=>[6,1,8,2,7,4,5,3]
[4,6,1,7,5,3,8,2]=>[6,8,5,4,7,1,3,2]
[6,1,7,5,3,4,8,2]=>[6,8,5,3,7,1,4,2]
[4,5,8,7,6,3,1,2]=>[3,1,6,4,5,7,8,2]
[8,7,4,6,5,3,1,2]=>[3,1,5,6,7,2,8,4]
[5,2,8,3,6,1,7,4]=>[6,5,8,7,2,3,1,4]
[8,1,4,3,6,2,5,7]=>[8,6,4,1,2,3,5,7]
[5,2,3,6,8,1,4,7]=>[8,5,2,1,3,6,4,7]
[4,5,7,8,2,3,1,6]=>[3,8,2,4,5,1,7,6]
[6,7,1,2,4,3,5,8]=>[7,1,4,2,3,6,5,8]
[5,3,7,2,1,6,4,8]=>[2,7,5,6,3,1,4,8]
[7,1,2,8,6,3,4,5]=>[7,1,6,3,4,8,2,5]
[8,7,1,3,5,6,4,2]=>[7,4,1,6,3,5,8,2]
[8,1,4,6,7,5,3,2]=>[8,3,5,1,7,4,6,2]
[4,6,8,1,7,5,3,2]=>[8,3,5,4,7,6,1,2]
[8,1,5,7,6,4,3,2]=>[8,3,4,6,1,7,5,2]
[6,1,5,7,4,2,3,8]=>[6,4,2,7,1,5,3,8]
[1,4,7,8,3,6,5,2]=>[1,5,6,4,8,2,7,3]
[1,4,6,7,5,2,3,8]=>[1,5,2,4,7,6,3,8]
[1,3,5,8,2,6,4,7]=>[1,8,3,6,5,2,4,7]
[4,7,1,3,5,2,8,6]=>[7,5,1,4,3,8,2,6]
[1,6,3,7,8,4,2,5]=>[1,4,8,6,3,2,7,5]
[5,3,8,4,6,7,2,1]=>[2,7,5,8,3,4,6,1]
[4,3,5,8,6,7,2,1]=>[2,7,4,3,5,8,6,1]
[3,2,7,8,5,6,4,1]=>[4,3,2,6,8,5,7,1]
[4,7,3,8,5,6,2,1]=>[2,6,7,4,8,5,3,1]
[7,1,4,8,5,6,3,2]=>[7,3,6,1,8,5,4,2]
[4,3,8,7,2,5,6,1]=>[6,7,4,3,2,5,8,1]
[1,7,3,8,6,4,5,2]=>[1,5,7,6,4,8,3,2]
[7,4,2,8,5,6,3,1]=>[3,6,4,7,8,5,1,2]
[3,4,8,2,6,7,5,1]=>[5,7,3,4,8,1,6,2]
[1,6,3,8,7,4,5,2]=>[1,5,6,7,4,3,8,2]
[1,4,5,8,7,6,2,3]=>[1,6,2,4,5,7,8,3]
[5,2,1,3,8,4,6,7]=>[2,5,1,8,3,4,6,7]
[1,4,3,5,8,2,6,7]=>[1,8,4,3,5,2,6,7]
[2,1,3,8,6,4,5,7]=>[2,1,3,6,4,8,5,7]
[1,3,6,4,5,8,2,7]=>[1,8,3,6,4,5,2,7]
[6,1,4,3,5,8,2,7]=>[6,8,4,1,3,5,2,7]
[6,5,1,3,8,2,4,7]=>[5,6,2,1,8,3,4,7]
[1,4,3,8,6,2,5,7]=>[1,6,4,3,2,8,5,7]
[4,1,3,8,6,2,5,7]=>[4,6,1,3,2,8,5,7]
[8,3,5,6,2,1,7,4]=>[2,6,8,7,3,5,1,4]
[3,5,8,7,6,1,4,2]=>[6,4,3,1,5,7,8,2]
[7,1,5,4,6,3,8,2]=>[7,8,6,5,1,4,3,2]
[7,3,6,5,4,8,2,1]=>[2,8,7,5,6,3,4,1]
[6,4,7,8,3,5,1,2]=>[5,1,8,6,3,4,7,2]
[3,5,6,7,1,8,4,2]=>[7,4,3,8,5,6,1,2]
[3,5,2,4,8,6,7,1]=>[7,5,3,2,4,8,6,1]
[3,7,6,1,4,8,5,2]=>[6,5,3,2,7,8,4,1]
[8,4,7,1,5,6,2,3]=>[7,6,2,8,1,5,4,3]
[2,5,3,1,4,6,7,8]=>[3,2,5,1,4,6,7,8]
[2,7,8,3,6,1,5,4]=>[6,2,8,5,1,3,7,4]
[1,7,8,3,6,2,5,4]=>[1,6,8,5,2,3,7,4]
[7,4,3,5,8,1,6,2]=>[8,6,4,7,3,1,5,2]
[7,3,6,4,1,8,5,2]=>[4,6,5,8,7,3,2,1]
[7,8,4,3,6,1,5,2]=>[6,5,4,8,1,3,7,2]
[7,1,6,4,3,8,5,2]=>[7,5,4,8,6,1,2,3]
[8,7,3,4,1,5,2,6]=>[4,5,7,3,1,2,8,6]
[7,2,6,4,3,8,5,1]=>[5,8,4,7,6,3,1,2]
[1,7,5,4,3,8,2,6]=>[1,8,4,5,7,2,3,6]
[7,4,5,1,8,2,6,3]=>[5,8,6,7,4,2,1,3]
[6,3,1,2,8,5,4,7]=>[3,1,6,5,8,2,4,7]
[1,6,4,8,5,2,3,7]=>[1,5,2,8,6,3,4,7]
[2,6,3,8,4,5,1,7]=>[5,2,6,8,4,3,1,7]
[7,3,6,4,2,5,8,1]=>[8,4,6,7,3,2,5,1]
[7,2,8,5,3,6,1,4]=>[6,7,5,1,8,3,2,4]
[5,8,6,4,2,7,1,3]=>[7,4,1,6,5,8,2,3]
[7,1,5,3,8,2,4,6]=>[7,8,5,2,1,4,3,6]
[1,3,8,7,6,4,5,2]=>[1,5,3,6,4,7,8,2]
[1,6,4,5,2,8,3,7]=>[1,5,8,6,4,2,3,7]
[2,8,3,4,6,7,1,5]=>[7,2,8,3,1,4,6,5]
[7,2,3,4,6,1,5,8]=>[6,7,2,3,1,4,5,8]
[4,5,1,6,3,8,7,2]=>[5,7,6,4,1,3,8,2]
[3,7,5,2,8,1,6,4]=>[8,5,3,7,6,1,4,2]
[7,2,1,6,3,8,4,5]=>[2,7,6,8,4,1,3,5]
[4,5,8,1,7,3,2,6]=>[8,3,7,4,5,2,1,6]
[4,6,7,1,3,8,2,5]=>[7,8,1,4,2,6,3,5]
[2,6,3,1,4,7,8,5]=>[3,2,6,1,8,4,7,5]
[2,7,3,4,1,8,5,6]=>[4,2,7,3,8,5,1,6]
[4,8,5,3,2,1,6,7]=>[2,3,5,4,8,1,6,7]
[8,5,3,2,7,4,6,1]=>[6,3,5,8,7,2,4,1]
[4,8,7,1,5,6,2,3]=>[7,6,2,4,1,5,8,3]
[8,6,3,7,4,5,2,1]=>[2,5,6,8,3,7,4,1]
[7,4,3,6,8,5,2,1]=>[2,5,4,8,7,1,6,3]
[7,2,6,8,5,3,4,1]=>[4,7,5,3,8,2,6,1]
[6,8,2,7,5,3,4,1]=>[4,8,5,3,7,6,2,1]
[7,8,2,6,5,3,4,1]=>[4,8,5,3,6,2,7,1]
[2,5,3,4,7,8,6,1]=>[6,2,5,3,4,8,7,1]
[2,6,7,8,3,5,4,1]=>[4,2,5,8,1,6,7,3]
[8,6,4,5,1,3,7,2]=>[5,7,1,6,4,8,3,2]
[7,4,8,5,3,6,1,2]=>[6,1,5,8,7,4,3,2]
[8,4,6,5,1,3,7,2]=>[5,6,2,7,8,1,3,4]
[4,5,3,8,7,1,2,6]=>[7,1,5,4,3,2,8,6]
[8,5,4,7,6,1,2,3]=>[6,1,2,5,7,8,3,4]
[7,5,8,2,4,3,1,6]=>[3,4,8,1,7,2,5,6]
[4,7,8,6,1,5,3,2]=>[6,3,5,4,1,8,7,2]
[1,4,3,5,7,2,6,8]=>[1,7,4,3,5,2,6,8]
[2,3,7,8,1,4,6,5]=>[8,2,3,1,6,4,7,5]
[8,2,3,5,4,1,7,6]=>[4,5,1,8,3,7,2,6]
[7,1,3,8,2,4,6,5]=>[7,8,1,2,6,4,3,5]
[7,2,3,6,4,1,8,5]=>[4,6,1,7,8,3,2,5]
[6,5,2,4,1,8,3,7]=>[4,5,6,3,8,1,2,7]
[5,7,2,4,1,3,8,6]=>[4,7,1,2,5,8,3,6]
[6,2,5,4,1,8,3,7]=>[4,5,6,8,3,2,1,7]
[4,2,6,3,5,8,1,7]=>[8,4,6,2,3,5,1,7]
[2,7,8,6,3,5,1,4]=>[5,2,6,1,3,8,7,4]
[8,5,3,1,4,7,6,2]=>[3,5,8,1,6,7,4,2]
[8,4,1,2,3,7,6,5]=>[4,1,2,8,6,7,3,5]
[8,4,1,5,3,7,6,2]=>[4,8,6,5,2,7,1,3]
[8,3,1,4,2,7,6,5]=>[3,8,4,2,6,7,1,5]
[2,5,8,7,3,1,6,4]=>[3,2,7,6,5,1,8,4]
[8,1,2,5,4,3,7,6]=>[8,1,4,5,2,7,3,6]
[1,6,2,5,7,4,8,3]=>[1,6,8,7,2,5,4,3]
[8,3,6,4,2,7,5,1]=>[5,4,7,6,8,1,2,3]
[7,1,8,3,6,4,5,2]=>[7,5,8,6,4,3,1,2]
[7,1,2,6,3,5,8,4]=>[7,1,6,8,3,2,5,4]
[8,6,2,1,4,5,7,3]=>[2,6,8,3,4,7,5,1]
[7,2,1,8,4,3,6,5]=>[2,7,4,8,6,3,1,5]
[6,7,2,1,4,5,8,3]=>[2,7,8,1,4,6,5,3]
[3,7,5,2,8,4,6,1]=>[6,5,3,7,8,2,4,1]
[1,7,2,5,6,4,8,3]=>[1,7,8,6,2,5,4,3]
[7,4,2,6,8,5,3,1]=>[3,5,4,8,7,2,6,1]
[8,5,2,4,6,3,1,7]=>[3,6,5,1,8,4,2,7]
[7,4,1,2,8,5,6,3]=>[4,1,7,6,8,5,3,2]
[6,4,1,8,5,2,3,7]=>[4,6,1,5,8,2,3,7]
[8,4,1,6,3,5,2,7]=>[4,8,5,6,1,2,3,7]
[7,3,4,1,6,8,5,2]=>[4,5,8,2,7,1,6,3]
[8,6,2,3,5,7,4,1]=>[4,7,1,6,3,8,5,2]
[8,6,2,5,7,3,4,1]=>[4,6,8,2,3,7,5,1]
[6,3,4,8,5,1,2,7]=>[5,1,8,2,6,4,3,7]
[8,5,1,2,7,4,6,3]=>[5,1,8,6,7,2,3,4]
[7,2,6,8,3,4,5,1]=>[5,7,8,3,4,2,6,1]
[1,6,7,5,4,8,2,3]=>[1,8,2,5,7,6,4,3]
[3,5,8,4,6,2,7,1]=>[7,6,3,8,5,4,2,1]
[3,5,8,4,2,7,6,1]=>[6,4,3,7,5,8,1,2]
[7,4,6,2,5,3,8,1]=>[8,6,5,7,2,4,3,1]
[7,4,3,8,6,5,1,2]=>[5,1,4,6,8,7,3,2]
[7,2,6,5,8,3,1,4]=>[3,8,7,2,6,1,5,4]
[1,8,5,4,2,6,3,7]=>[1,4,5,8,6,2,3,7]
[5,4,2,6,8,3,1,7]=>[3,8,4,5,1,6,2,7]
[3,5,6,7,4,8,1,2]=>[8,1,3,7,5,6,4,2]
[5,7,3,6,2,1,4,8]=>[2,6,7,1,5,3,4,8]
[2,3,8,5,4,6,1,7]=>[6,2,3,5,8,4,1,7]
[6,8,7,1,4,5,3,2]=>[7,3,5,1,4,6,8,2]
[8,1,3,6,4,7,5,2]=>[8,5,1,7,6,3,2,4]
[6,8,7,1,2,5,4,3]=>[7,1,4,5,2,6,8,3]
[2,7,3,1,8,4,6,5]=>[3,2,7,8,6,4,1,5]
[4,7,2,5,6,1,3,8]=>[6,7,1,4,2,5,3,8]
[8,3,5,4,1,2,6,7]=>[4,1,5,8,2,3,6,7]
[7,1,3,5,4,2,6,8]=>[7,4,1,5,3,2,6,8]
[5,3,1,7,6,2,4,8]=>[3,5,6,1,2,7,4,8]
[7,5,1,6,2,4,3,8]=>[5,7,4,1,6,2,3,8]
[5,8,6,1,2,4,3,7]=>[6,1,4,2,5,8,3,7]
[4,1,5,7,3,6,8,2]=>[4,8,7,1,5,3,6,2]
[1,4,5,7,6,8,2,3]=>[1,8,2,4,5,7,6,3]
[5,7,2,1,6,8,4,3]=>[2,7,4,8,5,1,6,3]
[2,6,3,1,7,8,5,4]=>[3,2,6,5,8,1,7,4]
[6,2,5,7,4,1,8,3]=>[4,7,6,8,3,5,2,1]
[3,6,1,8,7,4,5,2]=>[6,5,3,7,4,1,8,2]
[4,2,7,5,1,6,3,8]=>[5,4,7,2,6,3,1,8]
[4,1,3,5,7,6,8,2]=>[4,8,1,3,5,7,6,2]
[5,7,6,1,4,2,3,8]=>[6,4,2,1,5,7,3,8]
[4,8,7,5,2,1,6,3]=>[2,5,7,4,6,3,8,1]
[3,7,1,2,6,4,5,8]=>[7,1,3,6,4,2,5,8]
[4,1,7,6,3,5,8,2]=>[4,8,6,1,3,7,5,2]
[7,5,6,2,1,4,3,8]=>[2,6,4,1,7,5,3,8]
[6,5,1,4,7,2,8,3]=>[5,6,7,2,8,4,3,1]
[6,5,1,3,7,4,8,2]=>[5,6,2,8,7,3,1,4]
[4,7,1,3,5,6,8,2]=>[7,8,1,4,3,5,6,2]
[4,3,5,7,8,2,6,1]=>[6,8,4,3,5,2,7,1]
[7,1,6,2,5,8,4,3]=>[7,6,4,8,2,1,5,3]
[8,5,1,3,4,6,2,7]=>[5,8,2,3,6,4,1,7]
[4,1,6,7,3,5,2,8]=>[4,5,7,1,3,6,2,8]
[7,2,5,4,1,3,6,8]=>[4,5,2,7,1,3,6,8]
[2,5,1,4,7,6,3,8]=>[5,2,6,1,4,7,3,8]
[4,7,5,1,6,2,3,8]=>[5,7,1,4,6,2,3,8]
[3,8,1,4,6,2,7,5]=>[8,6,3,1,7,4,2,5]
[5,3,2,7,6,4,1,8]=>[4,3,6,5,1,7,2,8]
[5,3,7,4,6,2,1,8]=>[2,6,5,7,3,4,1,8]
[5,7,3,2,1,8,6,4]=>[2,3,7,6,5,8,1,4]
[5,7,6,3,2,1,8,4]=>[2,3,6,7,5,8,4,1]
[3,2,7,5,4,1,8,6]=>[4,3,2,5,7,8,1,6]
[1,7,3,5,4,2,6,8]=>[1,4,5,7,2,3,6,8]
[5,3,7,4,1,8,6,2]=>[4,7,6,5,1,8,2,3]
[7,3,5,4,1,6,8,2]=>[4,5,8,7,1,2,6,3]
[7,5,1,6,8,3,2,4]=>[5,3,7,1,8,2,6,4]
[5,3,1,7,6,8,2,4]=>[3,5,8,1,2,7,6,4]
[7,1,5,3,2,4,8,6]=>[7,3,5,2,1,8,4,6]
[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]
[6,2,5,7,3,4,1,8]=>[4,6,7,3,2,5,1,8]
[8,6,2,3,7,4,5,1]=>[5,6,2,8,3,7,4,1]
[6,7,1,5,3,2,8,4]=>[7,3,5,8,1,6,2,4]
[8,4,2,5,3,6,1,7]=>[6,4,8,5,3,2,1,7]
[8,3,4,1,7,6,2,5]=>[4,6,7,2,3,8,1,5]
[4,8,6,1,5,2,3,7]=>[6,5,2,4,1,8,3,7]
[3,1,4,8,5,7,6,2]=>[3,6,1,4,7,8,2,5]
[7,4,1,8,2,6,5,3]=>[4,7,8,5,6,3,2,1]
[7,1,8,3,5,2,6,4]=>[7,5,8,6,3,2,1,4]
[7,1,2,8,4,3,5,6]=>[7,1,4,8,3,5,2,6]
[5,6,2,1,4,7,3,8]=>[2,6,7,1,5,4,3,8]
[3,6,2,5,4,8,7,1]=>[7,6,3,5,2,4,8,1]
[3,1,5,8,4,2,7,6]=>[3,4,1,8,5,7,2,6]
[7,3,6,2,1,4,8,5]=>[2,6,7,1,8,3,4,5]
[7,3,1,4,2,8,5,6]=>[3,7,4,2,8,5,1,6]
[8,3,1,4,2,7,5,6]=>[3,8,4,2,7,5,1,6]
[8,2,1,3,7,4,5,6]=>[2,8,1,7,4,5,3,6]
[5,1,3,4,8,6,2,7]=>[5,6,1,3,4,8,2,7]
[2,7,4,1,8,5,3,6]=>[4,2,7,5,8,1,3,6]
[2,7,3,8,1,4,6,5]=>[8,2,7,1,6,4,3,5]
[7,1,5,2,4,3,6,8]=>[7,5,4,2,1,3,6,8]
[7,8,6,1,5,2,4,3]=>[6,5,4,2,1,8,7,3]
[8,5,7,4,1,3,2,6]=>[4,3,1,7,8,2,5,6]
[6,8,7,3,2,1,5,4]=>[2,3,7,5,1,6,8,4]
[3,6,8,7,2,4,1,5]=>[4,7,3,2,1,6,8,5]
[5,7,3,6,2,1,8,4]=>[2,6,7,8,5,3,1,4]
[3,6,5,2,4,8,1,7]=>[8,5,3,2,6,4,1,7]
[5,2,6,1,7,4,3,8]=>[6,5,4,7,2,1,3,8]
[6,3,4,5,1,7,2,8]=>[5,7,6,3,4,1,2,8]
[3,4,6,2,1,5,7,8]=>[2,6,3,4,1,5,7,8]
[2,1,5,4,7,8,3,6]=>[2,1,8,5,4,3,7,6]
[2,6,1,7,5,3,8,4]=>[6,2,5,7,8,1,4,3]
[6,3,8,2,5,7,1,4]=>[7,8,6,1,2,3,5,4]
[7,5,8,2,3,6,1,4]=>[6,8,2,1,7,3,5,4]
[1,5,4,8,3,6,7,2]=>[1,7,8,5,4,3,6,2]
[4,8,6,5,2,3,7,1]=>[7,5,2,4,6,8,3,1]
[1,4,5,8,2,6,7,3]=>[1,8,7,4,5,2,6,3]
[7,3,5,2,8,6,1,4]=>[6,5,8,3,1,7,2,4]
[1,8,3,6,2,4,7,5]=>[1,6,8,2,7,3,4,5]
[1,8,7,5,6,4,2,3]=>[1,4,2,6,7,5,8,3]
[6,8,2,1,5,4,3,7]=>[2,8,4,5,1,6,3,7]
[1,3,6,5,8,7,2,4]=>[1,7,3,2,6,5,8,4]
[1,4,8,7,6,2,3,5]=>[1,6,2,4,3,7,8,5]
[1,4,5,2,7,6,3,8]=>[1,5,6,4,2,7,3,8]
[1,4,7,6,2,5,3,8]=>[1,6,5,4,2,7,3,8]
[1,3,7,2,6,5,4,8]=>[1,7,3,5,6,2,4,8]
[1,6,7,2,5,4,3,8]=>[1,7,4,5,2,6,3,8]
[7,5,6,3,2,8,1,4]=>[8,3,6,1,7,5,2,4]
[7,5,1,4,6,3,2,8]=>[5,3,7,2,6,4,1,8]
[7,5,1,2,6,3,4,8]=>[5,1,7,2,6,3,4,8]
[7,5,1,8,3,2,4,6]=>[5,3,7,1,8,4,2,6]
[7,5,1,4,6,3,8,2]=>[5,7,8,2,6,4,1,3]
[7,5,4,1,2,6,3,8]=>[4,1,5,7,6,2,3,8]
[7,5,1,4,2,8,3,6]=>[5,4,7,3,8,1,2,6]
[2,4,7,5,3,8,1,6]=>[8,2,5,4,7,1,3,6]
[7,5,2,1,4,8,3,6]=>[2,5,7,3,8,1,4,6]
[7,1,2,6,8,4,3,5]=>[7,1,4,8,3,2,6,5]
[8,5,1,2,6,7,4,3]=>[5,1,4,8,7,3,6,2]
[5,4,1,8,6,7,3,2]=>[4,3,5,7,2,8,6,1]
[6,3,2,1,5,8,4,7]=>[2,3,6,8,1,5,4,7]
[4,3,5,6,2,8,1,7]=>[8,6,4,3,5,2,1,7]
[6,3,5,2,7,8,4,1]=>[4,8,5,6,1,3,7,2]
[4,5,3,1,6,8,2,7]=>[3,5,8,4,2,6,1,7]
[3,4,6,7,5,1,8,2]=>[5,7,3,4,8,6,2,1]
[7,4,1,2,5,6,8,3]=>[4,1,7,8,3,5,6,2]
[4,8,2,6,7,1,5,3]=>[7,8,5,4,1,2,6,3]
[6,5,8,3,7,1,4,2]=>[7,4,8,1,6,5,3,2]
[5,6,7,1,2,4,3,8]=>[7,1,4,2,5,6,3,8]
[4,8,6,5,3,7,1,2]=>[7,1,5,4,6,8,3,2]
[4,8,6,5,3,7,2,1]=>[2,7,5,4,6,8,3,1]
[4,1,5,7,6,2,8,3]=>[4,6,7,1,5,8,3,2]
[3,2,4,7,1,5,8,6]=>[7,3,2,4,1,8,5,6]
[4,7,5,8,6,2,3,1]=>[3,6,2,4,8,7,1,5]
[3,2,6,8,7,5,1,4]=>[5,3,2,1,7,6,8,4]
[7,2,4,5,8,1,6,3]=>[8,7,6,2,4,1,5,3]
[2,7,5,6,1,8,3,4]=>[6,2,8,3,7,5,1,4]
[4,2,3,5,7,8,6,1]=>[6,4,2,3,5,8,7,1]
[5,6,1,3,8,4,7,2]=>[6,7,1,8,5,3,4,2]
[5,4,7,1,6,2,3,8]=>[7,6,2,5,4,1,3,8]
[3,1,7,4,6,5,2,8]=>[3,5,1,6,7,2,4,8]
[2,7,4,3,5,1,8,6]=>[5,2,4,7,3,8,1,6]
[3,6,8,5,2,4,1,7]=>[4,5,3,2,8,6,1,7]
[2,8,6,7,1,4,5,3]=>[7,2,5,1,4,8,6,3]
[4,8,2,5,7,6,1,3]=>[6,7,2,4,1,8,5,3]
[5,1,4,7,2,6,3,8]=>[5,7,6,1,4,2,3,8]
[4,7,1,5,6,2,3,8]=>[7,6,2,4,1,5,3,8]
[4,2,5,6,3,7,1,8]=>[7,4,6,2,5,3,1,8]
[4,7,3,1,6,5,2,8]=>[3,7,5,4,6,2,1,8]
[7,2,6,4,3,5,1,8]=>[5,7,4,6,3,2,1,8]
[3,6,8,5,7,1,2,4]=>[7,1,3,2,8,6,5,4]
[2,6,1,8,7,3,5,4]=>[6,2,7,5,3,1,8,4]
[3,6,8,7,4,2,5,1]=>[5,4,3,7,2,6,8,1]
[1,5,2,4,6,7,3,8]=>[1,5,7,2,4,6,3,8]
[1,6,2,8,5,7,4,3]=>[1,6,4,7,8,2,5,3]
[1,8,4,7,2,5,6,3]=>[1,7,6,8,2,5,4,3]
[6,8,4,5,7,3,1,2]=>[3,1,7,8,4,6,5,2]
[7,5,6,1,3,8,2,4]=>[6,8,1,2,7,5,3,4]
[5,4,8,3,6,7,2,1]=>[2,7,8,5,4,3,6,1]
[5,8,4,6,3,7,2,1]=>[2,7,6,8,5,4,3,1]
[8,5,2,6,3,1,4,7]=>[3,6,5,2,8,1,4,7]
[7,3,2,8,5,4,1,6]=>[4,3,5,8,7,1,2,6]
[2,6,8,3,5,7,4,1]=>[4,2,7,8,1,6,5,3]
[7,3,4,8,5,1,2,6]=>[5,1,8,2,7,3,4,6]
[7,4,8,1,3,5,2,6]=>[8,5,1,7,3,2,4,6]
[7,6,2,4,1,8,3,5]=>[4,6,7,3,2,8,1,5]
[8,3,6,4,1,2,7,5]=>[4,1,6,8,7,2,3,5]
[8,2,5,4,6,1,7,3]=>[6,8,7,5,2,4,1,3]
[8,2,5,6,1,7,3,4]=>[6,8,7,3,2,5,1,4]
[6,8,4,1,7,3,5,2]=>[4,8,5,7,1,6,2,3]
[2,8,5,6,1,3,4,7]=>[6,2,1,3,8,5,4,7]
[7,6,8,5,1,2,4,3]=>[5,1,4,2,8,7,6,3]
[7,2,5,1,8,4,6,3]=>[5,7,6,8,2,4,1,3]
[2,8,5,3,6,4,1,7]=>[4,2,6,5,8,1,3,7]
[8,4,5,1,6,3,7,2]=>[5,7,6,8,4,1,3,2]
[8,2,1,5,7,4,6,3]=>[2,8,6,7,1,4,5,3]
[8,6,5,3,7,1,4,2]=>[7,4,5,1,6,8,3,2]
[6,1,8,4,2,3,7,5]=>[6,4,2,8,7,1,3,5]
[7,1,8,5,2,6,3,4]=>[7,5,8,2,6,3,1,4]
[1,7,4,2,3,8,6,5]=>[1,4,2,7,6,8,3,5]
[2,8,4,3,7,1,6,5]=>[7,2,4,8,6,1,3,5]
[1,5,2,4,7,6,8,3]=>[1,5,8,2,4,7,6,3]
[1,5,4,3,8,2,7,6]=>[1,8,4,5,3,7,2,6]
[4,5,7,1,6,3,2,8]=>[7,3,6,4,5,1,2,8]
[4,7,8,3,6,2,1,5]=>[2,6,8,4,1,3,7,5]
[3,4,2,6,8,1,7,5]=>[8,4,3,2,7,6,1,5]
[4,8,6,2,7,5,1,3]=>[5,7,2,4,6,8,1,3]
[1,7,5,3,2,6,8,4]=>[1,3,5,7,8,4,6,2]
[7,6,1,5,2,3,4,8]=>[6,5,2,3,1,7,4,8]
[7,5,1,6,2,3,4,8]=>[5,7,1,3,6,2,4,8]
[7,2,6,5,1,3,4,8]=>[5,6,2,3,7,1,4,8]
[6,1,7,2,4,5,8,3]=>[6,7,8,2,4,1,5,3]
[6,2,1,8,4,7,3,5]=>[2,6,7,8,3,1,4,5]
[7,6,2,8,3,4,5,1]=>[5,6,7,2,4,8,3,1]
[2,5,4,7,1,8,3,6]=>[7,2,8,5,4,3,1,6]
[6,2,7,4,3,8,5,1]=>[5,8,4,6,7,3,1,2]
[1,5,4,7,3,8,2,6]=>[1,8,7,5,4,2,3,6]
[1,2,6,7,3,5,4,8]=>[1,2,7,5,3,6,4,8]
[5,6,8,7,4,2,3,1]=>[3,4,2,7,5,6,8,1]
[2,3,8,5,7,4,1,6]=>[4,2,3,7,8,1,5,6]
[4,2,5,6,3,1,7,8]=>[3,6,4,1,5,2,7,8]
[5,2,3,7,6,8,4,1]=>[4,8,1,5,3,7,6,2]
[8,1,2,4,6,3,5,7]=>[8,1,6,2,3,4,5,7]
[4,2,5,6,3,7,8,1]=>[8,4,6,2,5,3,7,1]
[3,7,8,4,5,6,1,2]=>[6,1,3,8,4,5,7,2]
[6,3,5,7,4,8,1,2]=>[8,1,6,7,3,5,4,2]
[5,6,3,8,1,7,4,2]=>[8,4,7,6,5,2,1,3]
[5,8,3,7,1,2,6,4]=>[7,1,8,6,5,2,3,4]
[4,5,2,1,8,3,6,7]=>[2,5,8,4,1,3,6,7]
[7,4,2,1,6,5,8,3]=>[2,4,7,8,6,3,5,1]
[8,5,2,1,7,3,6,4]=>[2,5,8,7,6,4,3,1]
[5,4,3,6,1,8,2,7]=>[6,8,4,5,3,1,2,7]
[3,5,4,1,7,2,8,6]=>[4,5,3,7,2,8,1,6]
[1,3,8,6,7,4,5,2]=>[1,5,3,7,4,8,6,2]
[2,6,5,3,7,1,8,4]=>[7,2,5,6,8,4,1,3]
[5,7,1,3,6,4,8,2]=>[7,8,1,6,5,3,4,2]
[8,2,5,4,1,7,3,6]=>[4,5,8,7,3,1,2,6]
[8,1,7,6,4,2,3,5]=>[8,4,2,6,3,7,1,5]
[7,5,3,2,1,4,8,6]=>[2,3,5,1,7,8,4,6]
[6,1,7,2,5,8,4,3]=>[6,7,4,8,2,1,5,3]
[2,6,8,4,5,3,7,1]=>[7,2,5,8,4,6,3,1]
[8,2,7,5,3,1,4,6]=>[3,5,7,1,8,4,2,6]
[3,4,2,8,5,7,1,6]=>[7,4,3,2,8,1,5,6]
[1,5,3,6,4,2,8,7]=>[1,4,6,5,2,3,8,7]
[4,1,6,2,5,8,7,3]=>[4,6,7,1,2,5,8,3]
[1,8,6,3,7,4,5,2]=>[1,5,6,8,3,7,4,2]
[8,4,6,1,5,2,7,3]=>[6,5,7,8,1,4,2,3]
[6,2,3,8,1,5,4,7]=>[8,6,2,5,1,3,4,7]
[3,8,6,5,4,7,1,2]=>[7,1,3,5,6,8,4,2]
[2,4,1,5,6,8,7,3]=>[4,2,7,1,5,6,8,3]
[4,5,7,1,6,2,8,3]=>[7,6,8,4,5,1,2,3]
[5,7,3,4,2,8,6,1]=>[6,4,8,1,5,7,2,3]
[5,8,3,4,2,7,6,1]=>[6,4,7,1,5,8,2,3]
[7,6,4,2,3,8,5,1]=>[5,4,1,8,6,7,3,2]
[3,5,6,8,2,4,7,1]=>[7,8,3,2,5,6,4,1]
[4,8,7,3,2,5,6,1]=>[6,3,7,4,2,5,8,1]
[3,7,4,2,6,8,5,1]=>[5,4,3,8,7,1,6,2]
[6,4,8,7,3,2,5,1]=>[5,3,7,6,2,4,8,1]
[5,6,2,8,7,4,3,1]=>[3,4,7,6,5,2,8,1]
[2,5,7,6,4,8,1,3]=>[8,2,1,6,5,7,4,3]
[2,5,6,4,8,7,1,3]=>[7,2,1,6,5,4,8,3]
[6,2,8,3,7,4,5,1]=>[5,6,8,7,4,2,3,1]
[3,7,5,6,4,2,8,1]=>[8,4,3,6,7,5,2,1]
[5,2,3,8,6,1,4,7]=>[6,5,2,1,3,8,4,7]
[1,4,3,8,5,6,2,7]=>[1,6,4,3,8,5,2,7]
[7,8,2,6,4,3,5,1]=>[5,8,4,6,3,2,7,1]
[4,5,8,7,2,3,6,1]=>[6,7,2,4,5,3,8,1]
[7,8,6,1,4,2,5,3]=>[6,4,5,1,2,8,7,3]
[8,3,6,4,7,2,1,5]=>[2,7,8,6,1,3,4,5]
[2,7,1,4,6,8,5,3]=>[7,2,5,1,8,4,6,3]
[7,2,5,1,6,8,4,3]=>[5,7,4,8,2,1,6,3]
[7,6,2,5,8,3,4,1]=>[4,6,7,2,3,8,5,1]
[5,1,8,7,2,4,3,6]=>[5,7,4,2,1,3,8,6]
[5,8,1,3,6,7,4,2]=>[8,4,1,7,5,3,6,2]
[3,6,8,1,5,2,7,4]=>[8,5,3,7,1,6,2,4]
[7,3,6,8,1,5,2,4]=>[8,5,7,2,1,3,6,4]
[8,3,6,5,2,7,1,4]=>[7,5,6,1,8,2,3,4]
[5,1,3,6,4,2,7,8]=>[5,4,1,6,3,2,7,8]
[6,1,2,4,7,5,3,8]=>[6,1,5,2,7,4,3,8]
[3,8,5,1,4,6,2,7]=>[5,8,3,2,6,4,1,7]
[6,2,8,5,7,4,1,3]=>[4,7,2,6,8,1,5,3]
[2,7,8,5,6,4,3,1]=>[3,2,4,6,8,5,7,1]
[8,4,6,7,1,3,5,2]=>[7,5,1,8,3,4,6,2]
[3,1,5,8,7,4,2,6]=>[3,4,1,7,5,2,8,6]
[1,3,8,4,5,2,6,7]=>[1,5,3,8,4,2,6,7]
[8,3,1,4,6,7,2,5]=>[3,8,7,2,1,4,6,5]
[7,8,5,1,2,6,3,4]=>[5,1,8,2,6,3,7,4]
[6,4,5,1,8,7,3,2]=>[5,3,7,6,4,1,8,2]
[8,6,2,1,7,3,5,4]=>[2,6,8,5,1,7,3,4]
[7,2,8,4,6,5,3,1]=>[3,5,6,7,8,2,4,1]
[4,8,6,3,1,7,2,5]=>[3,6,8,4,2,7,1,5]
[3,1,8,4,5,7,2,6]=>[3,7,1,8,4,2,5,6]
[3,7,8,4,6,5,2,1]=>[2,5,3,6,8,1,7,4]
[7,8,6,1,4,3,5,2]=>[6,5,4,1,3,8,7,2]
[2,5,8,3,4,6,1,7]=>[6,2,8,3,5,4,1,7]
[7,8,4,3,6,1,2,5]=>[6,1,4,8,2,3,7,5]
[8,4,3,5,1,6,7,2]=>[5,7,4,8,3,1,6,2]
[5,6,1,2,4,8,7,3]=>[6,1,7,2,5,4,8,3]
[5,2,8,6,7,4,1,3]=>[4,7,2,5,1,8,6,3]
[1,7,2,6,5,4,8,3]=>[1,7,8,5,6,2,4,3]
[5,4,8,3,7,6,2,1]=>[2,6,7,5,4,8,1,3]
[6,3,1,7,2,4,8,5]=>[3,6,7,1,8,2,4,5]
[8,1,5,2,3,6,4,7]=>[8,5,2,6,1,3,4,7]
[8,5,2,1,3,6,4,7]=>[2,5,1,8,6,4,3,7]
[4,7,2,1,3,8,5,6]=>[2,7,1,4,8,5,3,6]
[4,5,2,8,1,3,6,7]=>[8,5,1,4,2,3,6,7]
[8,2,5,1,6,3,4,7]=>[5,8,6,3,2,1,4,7]
[8,4,2,5,6,1,3,7]=>[6,4,1,8,2,5,3,7]
[6,3,7,8,1,4,2,5]=>[8,4,6,1,2,3,7,5]
[4,5,8,3,1,2,6,7]=>[3,1,8,4,5,2,6,7]
[8,2,6,5,1,7,4,3]=>[5,6,4,8,7,3,2,1]
[7,6,4,1,2,5,8,3]=>[4,1,6,7,2,8,5,3]
[7,6,3,2,5,8,4,1]=>[4,3,8,6,1,7,5,2]
[8,3,2,1,7,5,4,6]=>[2,3,8,5,7,4,1,6]
[1,8,4,5,7,3,2,6]=>[1,3,7,8,4,2,5,6]
[6,1,3,2,8,7,5,4]=>[6,3,1,5,7,2,8,4]
[2,4,8,5,6,3,7,1]=>[7,2,6,4,8,5,3,1]
[7,2,1,3,8,4,6,5]=>[2,7,1,8,6,4,3,5]
[4,1,8,6,2,7,3,5]=>[4,6,8,1,2,7,3,5]
[1,7,3,8,6,5,2,4]=>[1,5,6,2,8,7,3,4]
[2,6,5,4,8,7,1,3]=>[7,2,1,5,6,4,8,3]
[5,6,7,1,3,2,4,8]=>[7,3,1,2,5,6,4,8]
[7,1,8,4,3,2,6,5]=>[7,3,4,8,6,2,1,5]
[8,1,5,4,2,6,7,3]=>[8,4,5,7,1,3,6,2]
[7,4,1,6,8,5,3,2]=>[4,3,7,5,8,2,6,1]
[7,5,3,8,2,1,4,6]=>[2,8,5,1,7,4,3,6]
[6,5,3,7,2,8,1,4]=>[8,7,5,1,6,3,2,4]
[8,6,3,7,5,4,2,1]=>[2,4,5,7,6,8,3,1]
[8,3,5,7,4,6,2,1]=>[2,6,8,7,3,4,5,1]
[8,3,2,4,7,5,6,1]=>[6,3,8,2,7,5,4,1]
[4,8,6,2,5,1,3,7]=>[5,6,1,4,2,8,3,7]
[6,2,8,7,3,5,1,4]=>[5,6,7,1,3,2,8,4]
[4,6,8,7,3,5,2,1]=>[2,5,7,4,3,6,8,1]
[3,8,2,5,7,6,4,1]=>[4,6,3,7,2,8,5,1]
[5,8,3,4,2,1,6,7]=>[2,4,8,3,5,1,6,7]
[6,5,8,3,2,4,7,1]=>[7,3,8,2,6,5,4,1]
[3,1,7,8,4,5,6,2]=>[3,6,1,8,4,5,7,2]
[3,2,7,8,4,5,6,1]=>[6,3,2,8,4,5,7,1]
[1,3,8,2,6,7,5,4]=>[1,8,3,5,7,2,6,4]
[3,1,7,2,6,8,5,4]=>[3,7,1,5,8,2,6,4]
[5,4,1,8,3,7,6,2]=>[4,5,6,7,2,8,3,1]
[3,8,6,4,1,2,5,7]=>[4,1,3,6,2,8,5,7]
[2,8,3,4,5,7,1,6]=>[7,2,8,3,4,1,5,6]
[1,8,5,2,7,6,4,3]=>[1,5,4,8,6,7,3,2]
[1,7,6,8,2,5,4,3]=>[1,8,4,5,2,7,6,3]
[1,7,8,6,2,5,4,3]=>[1,6,4,5,2,8,7,3]
[4,6,5,7,1,8,2,3]=>[7,8,2,4,6,5,1,3]
[7,5,3,6,8,4,2,1]=>[2,4,8,5,7,1,6,3]
[7,2,5,6,4,8,3,1]=>[3,8,7,6,1,5,4,2]
[7,4,6,2,8,5,3,1]=>[3,5,8,6,7,2,4,1]
[5,3,4,7,6,8,2,1]=>[2,8,5,3,4,7,6,1]
[5,3,4,8,2,1,7,6]=>[2,8,5,3,4,7,1,6]
[5,2,3,6,1,7,4,8]=>[6,5,2,7,3,1,4,8]
[7,8,4,6,5,1,2,3]=>[5,1,2,6,8,3,7,4]
[6,3,7,5,4,1,2,8]=>[4,1,5,7,6,3,2,8]
[1,6,3,4,2,5,8,7]=>[1,4,6,3,2,5,8,7]
[1,5,7,6,2,3,8,4]=>[1,6,2,7,5,8,4,3]
[1,4,3,7,6,2,5,8]=>[1,6,4,3,2,7,5,8]
[1,3,7,4,6,8,5,2]=>[1,5,3,8,7,2,6,4]
[1,5,3,4,7,2,8,6]=>[1,7,5,3,4,8,2,6]
[6,1,5,4,7,8,2,3]=>[6,8,2,5,1,4,7,3]
[6,7,1,5,2,3,4,8]=>[7,5,2,3,1,6,4,8]
[7,6,3,5,1,8,2,4]=>[5,8,6,2,3,7,1,4]
[2,7,3,6,1,4,8,5]=>[6,2,7,1,8,3,4,5]
[7,4,2,3,1,6,5,8]=>[3,4,2,7,6,1,5,8]
[5,6,2,1,7,4,3,8]=>[2,6,4,7,5,1,3,8]
[3,7,4,6,8,1,5,2]=>[8,5,3,7,1,4,6,2]
[4,1,5,6,2,8,7,3]=>[4,6,7,1,5,2,8,3]
[3,4,7,8,1,5,2,6]=>[8,5,3,4,1,2,7,6]
[4,8,3,1,7,6,2,5]=>[3,8,6,4,1,7,2,5]
[2,6,7,5,3,4,1,8]=>[4,2,5,3,7,6,1,8]
[2,4,1,7,5,6,8,3]=>[4,2,8,1,7,5,6,3]
[7,2,4,8,3,5,1,6]=>[5,7,8,2,3,1,4,6]
[4,7,6,3,2,1,5,8]=>[2,3,6,4,1,7,5,8]
[3,2,6,1,7,5,4,8]=>[6,3,2,5,7,1,4,8]
[5,6,1,4,3,8,7,2]=>[6,7,4,1,5,3,8,2]
[5,8,6,4,3,1,7,2]=>[3,4,6,8,5,7,2,1]
[4,1,3,7,8,6,5,2]=>[4,5,1,3,6,8,7,2]
[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]
[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,9,6,7]
[7,1,2,3,4,5,9,6,8]=>[7,1,2,3,4,9,5,6,8]
[9,1,2,3,4,5,8,6,7]=>[9,1,2,3,4,8,6,5,7]
[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,9,5,8,6]
[6,1,2,3,4,9,5,7,8]=>[6,1,2,3,9,4,5,7,8]
[6,1,2,3,4,8,5,9,7]=>[6,1,2,3,8,4,9,5,7]
[9,1,2,3,4,7,5,6,8]=>[9,1,2,3,7,5,4,6,8]
[9,1,2,3,4,8,5,6,7]=>[9,1,2,3,8,5,6,4,7]
[8,1,2,3,4,7,5,9,6]=>[8,1,2,3,7,9,4,5,6]
[6,1,2,3,4,7,9,5,8]=>[6,1,2,3,9,4,7,5,8]
[6,1,2,3,4,9,8,5,7]=>[6,1,2,3,8,4,5,9,7]
[9,1,2,3,4,7,8,5,6]=>[9,1,2,3,8,5,4,7,6]
[6,1,2,3,4,7,8,9,5]=>[6,1,2,3,9,4,7,8,5]
[5,1,2,3,9,4,6,7,8]=>[5,1,2,9,3,4,6,7,8]
[5,1,2,3,8,4,6,9,7]=>[5,1,2,8,3,4,9,6,7]
[9,1,2,3,6,4,5,7,8]=>[9,1,2,6,4,3,5,7,8]
[8,1,2,3,6,4,5,9,7]=>[8,1,2,6,4,3,9,5,7]
[8,1,2,3,9,4,5,6,7]=>[8,1,2,9,4,5,6,3,7]
[5,1,2,3,6,8,4,9,7]=>[5,1,2,8,3,6,9,4,7]
[5,1,2,3,9,8,4,6,7]=>[5,1,2,8,3,4,6,9,7]
[9,1,2,3,6,8,4,5,7]=>[9,1,2,8,4,3,5,6,7]
[5,1,2,3,6,9,8,4,7]=>[5,1,2,8,3,6,4,9,7]
[9,1,2,3,6,7,8,4,5]=>[9,1,2,8,4,3,6,7,5]
[5,1,2,3,6,7,8,9,4]=>[5,1,2,9,3,6,7,8,4]
[4,1,2,8,3,5,6,9,7]=>[4,1,8,2,3,5,9,6,7]
[4,1,2,9,3,5,8,6,7]=>[4,1,9,2,3,8,6,5,7]
[4,1,2,6,3,8,5,9,7]=>[4,1,6,2,8,3,9,5,7]
[4,1,2,9,3,8,5,6,7]=>[4,1,9,2,8,5,6,3,7]
[9,1,2,5,3,4,6,7,8]=>[9,1,5,3,2,4,6,7,8]
[8,1,2,5,3,4,6,9,7]=>[8,1,5,3,2,4,9,6,7]
[9,1,2,8,3,4,5,6,7]=>[9,1,8,3,4,5,6,2,7]
[7,1,2,8,3,4,5,9,6]=>[7,1,8,3,4,9,2,5,6]
[4,1,2,5,9,3,6,7,8]=>[4,1,9,2,5,3,6,7,8]
[4,1,2,8,9,3,5,6,7]=>[4,1,9,2,3,5,6,8,7]
[8,1,2,5,9,3,4,6,7]=>[8,1,9,3,2,4,6,5,7]
[8,1,2,9,6,3,4,5,7]=>[8,1,6,3,4,9,5,2,7]
[8,1,2,7,6,3,4,9,5]=>[8,1,6,3,7,9,2,5,4]
[9,1,2,5,6,3,8,4,7]=>[9,1,6,8,2,5,4,3,7]
[9,1,2,7,6,3,8,4,5]=>[9,1,6,7,3,8,2,4,5]
[4,1,2,5,6,8,3,9,7]=>[4,1,8,2,5,6,9,3,7]
[4,1,2,5,9,8,3,6,7]=>[4,1,8,2,5,3,6,9,7]
[9,1,2,5,6,8,3,4,7]=>[9,1,8,3,2,5,4,6,7]
[9,1,2,8,6,7,3,4,5]=>[9,1,7,3,4,8,6,2,5]
[4,1,2,5,6,7,9,3,8]=>[4,1,9,2,5,6,7,3,8]
[4,1,2,5,6,9,8,3,7]=>[4,1,8,2,5,6,3,9,7]
[4,1,2,9,6,7,8,3,5]=>[4,1,8,2,3,9,6,7,5]
[9,1,2,5,6,7,8,3,4]=>[9,1,8,3,2,5,6,7,4]
[4,1,2,5,6,7,8,9,3]=>[4,1,9,2,5,6,7,8,3]
[3,1,9,2,4,5,6,7,8]=>[3,9,1,2,4,5,6,7,8]
[3,1,8,2,4,5,6,9,7]=>[3,8,1,2,4,5,9,6,7]
[3,1,9,2,4,5,8,6,7]=>[3,9,1,2,4,8,6,5,7]
[3,1,5,2,8,4,6,9,7]=>[3,5,1,8,2,4,9,6,7]
[3,1,5,2,7,4,9,6,8]=>[3,5,1,7,2,9,4,6,8]
[3,1,5,2,7,4,8,9,6]=>[3,5,1,7,2,9,4,8,6]
[3,1,5,2,6,7,8,9,4]=>[3,5,1,9,2,6,7,8,4]
[9,1,4,2,3,5,6,7,8]=>[9,4,2,1,3,5,6,7,8]
[8,1,4,2,3,5,6,9,7]=>[8,4,2,1,3,5,9,6,7]
[9,1,4,2,3,5,8,6,7]=>[9,4,2,1,3,8,6,5,7]
[6,1,4,2,3,7,8,9,5]=>[6,4,2,1,9,3,7,8,5]
[9,1,8,2,3,4,5,6,7]=>[9,8,2,3,4,5,6,1,7]
[8,1,7,2,3,4,5,9,6]=>[8,7,2,3,4,9,1,5,6]
[9,1,8,2,7,3,4,5,6]=>[9,8,7,3,4,5,2,1,6]
[7,1,9,2,6,3,8,4,5]=>[7,9,6,8,4,2,1,3,5]
[9,1,5,2,8,7,3,4,6]=>[9,5,7,3,1,4,8,2,6]
[3,1,4,9,2,5,6,7,8]=>[3,9,1,4,2,5,6,7,8]
[3,1,4,9,2,5,8,6,7]=>[3,9,1,4,2,8,6,5,7]
[3,1,4,7,2,5,8,9,6]=>[3,7,1,4,2,9,5,8,6]
[3,1,4,6,2,8,5,9,7]=>[3,6,1,4,8,2,9,5,7]
[3,1,4,6,2,7,8,9,5]=>[3,6,1,4,9,2,7,8,5]
[3,1,7,5,2,4,9,6,8]=>[3,5,1,2,7,9,4,6,8]
[3,1,9,8,2,4,5,6,7]=>[3,8,1,2,4,5,6,9,7]
[3,1,9,5,2,7,4,6,8]=>[3,5,1,9,7,2,4,6,8]
[9,1,4,5,2,3,6,7,8]=>[9,5,2,1,4,3,6,7,8]
[7,1,4,5,2,3,8,9,6]=>[7,5,2,1,4,9,3,8,6]
[7,1,4,9,2,3,5,6,8]=>[7,9,2,1,3,5,4,6,8]
[9,1,4,8,2,3,5,6,7]=>[9,8,2,1,3,5,6,4,7]
[7,1,4,9,2,3,8,5,6]=>[7,9,2,1,8,5,4,3,6]
[9,1,6,5,2,3,4,7,8]=>[9,5,2,3,6,1,4,7,8]
[9,1,8,5,2,3,4,6,7]=>[9,5,2,3,8,4,6,1,7]
[7,1,9,6,2,3,4,5,8]=>[7,6,2,3,4,9,1,5,8]
[9,1,8,6,2,3,4,5,7]=>[9,6,2,3,4,8,5,1,7]
[7,1,8,9,2,3,4,5,6]=>[7,9,2,3,4,5,1,8,6]
[9,1,6,5,2,3,8,4,7]=>[9,5,2,6,8,1,3,4,7]
[7,1,9,6,2,3,8,4,5]=>[7,6,2,9,3,8,1,4,5]
[9,1,4,5,2,7,3,6,8]=>[9,5,7,1,4,3,2,6,8]
[9,1,4,5,2,8,3,6,7]=>[9,5,8,1,4,3,6,2,7]
[9,1,6,5,2,8,3,4,7]=>[9,5,6,2,8,1,4,3,7]
[6,1,4,5,2,9,8,3,7]=>[6,5,8,1,4,2,3,9,7]
[9,1,4,6,2,7,8,3,5]=>[9,6,8,1,3,4,2,7,5]
[3,1,4,8,9,2,5,6,7]=>[3,9,1,4,2,5,6,8,7]
[3,1,8,9,7,2,4,5,6]=>[3,7,1,2,4,5,9,8,6]
[8,1,4,5,6,2,3,9,7]=>[8,6,2,1,4,5,9,3,7]
[8,1,4,9,6,2,3,5,7]=>[8,6,2,1,3,9,5,4,7]
[8,1,4,9,7,2,3,5,6]=>[8,7,2,1,3,5,9,4,6]
[8,1,9,5,6,2,3,4,7]=>[8,6,2,3,9,5,4,1,7]
[8,1,9,7,6,2,3,4,5]=>[8,6,2,3,4,7,9,1,5]
[7,1,4,5,6,2,8,9,3]=>[7,6,9,1,4,5,2,8,3]
[3,1,4,5,6,9,2,7,8]=>[3,9,1,4,5,6,2,7,8]
[3,1,4,5,6,8,2,9,7]=>[3,8,1,4,5,6,9,2,7]
[3,1,4,5,9,8,2,6,7]=>[3,8,1,4,5,2,6,9,7]
[3,1,4,9,8,7,2,5,6]=>[3,7,1,4,2,5,8,9,6]
[3,1,9,5,6,8,2,4,7]=>[3,8,1,2,9,5,4,6,7]
[3,1,9,8,6,7,2,4,5]=>[3,7,1,2,4,8,6,9,5]
[9,1,4,5,6,7,2,3,8]=>[9,7,2,1,4,5,6,3,8]
[9,1,4,8,6,7,2,3,5]=>[9,7,2,1,3,8,6,4,5]
[9,1,8,5,6,7,2,3,4]=>[9,7,2,3,8,5,6,1,4]
[8,1,4,5,6,7,2,9,3]=>[8,7,9,1,4,5,6,2,3]
[3,1,4,5,6,7,9,2,8]=>[3,9,1,4,5,6,7,2,8]
[3,1,4,9,6,7,8,2,5]=>[3,8,1,4,2,9,6,7,5]
[3,1,9,5,6,7,8,2,4]=>[3,8,1,2,9,5,6,7,4]
[9,1,4,5,6,7,8,2,3]=>[9,8,2,1,4,5,6,7,3]
[3,1,4,5,6,7,8,9,2]=>[3,9,1,4,5,6,7,8,2]
[2,9,1,3,4,5,6,7,8]=>[9,2,1,3,4,5,6,7,8]
[2,8,1,3,4,5,6,9,7]=>[8,2,1,3,4,5,9,6,7]
[2,7,1,3,4,5,9,6,8]=>[7,2,1,3,4,9,5,6,8]
[2,9,1,3,4,5,8,6,7]=>[9,2,1,3,4,8,6,5,7]
[2,7,1,3,4,5,8,9,6]=>[7,2,1,3,4,9,5,8,6]
[2,6,1,3,4,9,5,7,8]=>[6,2,1,3,9,4,5,7,8]
[2,9,1,3,4,8,5,6,7]=>[9,2,1,3,8,5,6,4,7]
[2,8,1,3,9,4,5,6,7]=>[8,2,1,9,4,5,6,3,7]
[2,5,1,3,6,9,4,7,8]=>[5,2,1,9,3,6,4,7,8]
[2,9,1,3,8,7,4,5,6]=>[9,2,1,7,4,5,8,3,6]
[2,9,1,3,6,7,8,4,5]=>[9,2,1,8,4,3,6,7,5]
[2,5,1,3,6,7,8,9,4]=>[5,2,1,9,3,6,7,8,4]
[2,4,1,9,3,5,6,7,8]=>[4,2,9,1,3,5,6,7,8]
[2,4,1,6,3,9,5,7,8]=>[4,2,6,1,9,3,5,7,8]
[2,4,1,6,3,8,5,9,7]=>[4,2,6,1,8,3,9,5,7]
[2,4,1,9,3,7,8,5,6]=>[4,2,9,1,8,5,3,7,6]
[2,4,1,6,3,7,8,9,5]=>[4,2,6,1,9,3,7,8,5]
[2,9,1,5,3,4,6,7,8]=>[9,2,5,3,1,4,6,7,8]
[2,9,1,8,3,4,5,6,7]=>[9,2,8,3,4,5,6,1,7]
[2,7,1,6,3,4,8,9,5]=>[7,2,6,3,9,1,4,8,5]
[2,6,1,5,3,7,8,9,4]=>[6,2,5,9,1,3,7,8,4]
[2,4,1,5,9,3,6,7,8]=>[4,2,9,1,5,3,6,7,8]
[2,4,1,8,9,3,5,6,7]=>[4,2,9,1,3,5,6,8,7]
[2,8,1,5,6,3,4,9,7]=>[8,2,6,3,1,5,9,4,7]
[2,8,1,9,7,3,4,5,6]=>[8,2,7,3,4,5,9,1,6]
[2,9,1,5,7,3,8,4,6]=>[9,2,7,8,1,4,5,3,6]
[2,7,1,5,6,3,8,9,4]=>[7,2,6,9,1,5,3,8,4]
[2,4,1,5,6,8,3,9,7]=>[4,2,8,1,5,6,9,3,7]
[2,9,1,8,6,7,3,4,5]=>[9,2,7,3,4,8,6,1,5]
[2,8,1,5,6,7,3,9,4]=>[8,2,7,9,1,5,6,3,4]
[2,4,1,5,6,7,9,3,8]=>[4,2,9,1,5,6,7,3,8]
[2,4,1,5,6,9,8,3,7]=>[4,2,8,1,5,6,3,9,7]
[2,4,1,5,9,7,8,3,6]=>[4,2,8,1,5,3,9,7,6]
[2,4,1,9,6,7,8,3,5]=>[4,2,8,1,3,9,6,7,5]
[2,9,1,5,6,7,8,3,4]=>[9,2,8,3,1,5,6,7,4]
[2,4,1,5,6,7,8,9,3]=>[4,2,9,1,5,6,7,8,3]
[9,3,1,2,4,5,6,7,8]=>[3,1,9,2,4,5,6,7,8]
[8,3,1,2,4,5,6,9,7]=>[3,1,8,2,4,5,9,6,7]
[9,3,1,2,4,5,8,6,7]=>[3,1,9,2,4,8,6,5,7]
[6,3,1,2,4,7,8,9,5]=>[3,1,6,2,9,4,7,8,5]
[5,3,1,2,9,4,6,7,8]=>[3,1,5,9,2,4,6,7,8]
[5,3,1,2,7,4,9,6,8]=>[3,1,5,7,2,9,4,6,8]
[9,3,1,2,6,4,5,7,8]=>[3,1,9,6,4,2,5,7,8]
[8,3,1,2,9,4,5,6,7]=>[3,1,8,9,4,5,6,2,7]
[9,3,1,2,7,4,8,5,6]=>[3,1,9,7,8,5,2,4,6]
[5,3,1,2,6,9,4,7,8]=>[3,1,5,9,2,6,4,7,8]
[5,3,1,2,9,7,4,6,8]=>[3,1,5,7,2,4,9,6,8]
[5,3,1,2,8,7,4,9,6]=>[3,1,5,7,2,8,9,6,4]
[9,3,1,2,6,8,4,5,7]=>[3,1,9,8,4,2,5,6,7]
[8,3,1,2,6,7,4,9,5]=>[3,1,8,7,9,2,6,4,5]
[9,3,1,2,6,7,8,4,5]=>[3,1,9,8,4,2,6,7,5]
[5,3,1,2,6,7,8,9,4]=>[3,1,5,9,2,6,7,8,4]
[9,4,1,2,3,5,6,7,8]=>[4,1,2,9,3,5,6,7,8]
[9,4,1,2,3,5,8,6,7]=>[4,1,2,9,3,8,6,5,7]
[7,4,1,2,3,5,8,9,6]=>[4,1,2,7,3,9,5,8,6]
[6,4,1,2,3,9,5,7,8]=>[4,1,2,6,9,3,5,7,8]
[9,4,1,2,3,7,5,6,8]=>[4,1,2,9,7,5,3,6,8]
[9,4,1,2,3,8,5,6,7]=>[4,1,2,9,8,5,6,3,7]
[6,4,1,2,3,7,9,5,8]=>[4,1,2,6,9,3,7,5,8]
[6,4,1,2,3,7,8,9,5]=>[4,1,2,6,9,3,7,8,5]
[5,9,1,2,3,4,6,7,8]=>[9,1,2,3,5,4,6,7,8]
[5,8,1,2,3,4,6,9,7]=>[8,1,2,3,5,4,9,6,7]
[5,7,1,2,3,4,9,6,8]=>[7,1,2,3,5,9,4,6,8]
[5,9,1,2,3,4,8,6,7]=>[9,1,2,3,5,8,6,4,7]
[5,7,1,2,3,4,8,9,6]=>[7,1,2,3,5,9,4,8,6]
[9,6,1,2,3,4,5,7,8]=>[6,1,2,3,4,9,5,7,8]
[8,6,1,2,3,4,5,9,7]=>[6,1,2,3,4,8,9,5,7]
[9,7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,9,6,8]
[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]
[8,7,1,2,3,4,5,9,6]=>[7,1,2,3,4,8,9,6,5]
[7,6,1,2,3,4,9,5,8]=>[6,1,2,3,7,9,5,4,8]
[9,6,1,2,3,4,8,5,7]=>[6,1,2,3,9,8,4,5,7]
[9,7,1,2,3,4,8,5,6]=>[7,1,2,3,9,4,8,5,6]
[7,6,1,2,3,4,8,9,5]=>[6,1,2,3,7,9,5,8,4]
[5,6,1,2,3,9,4,7,8]=>[6,1,2,9,5,3,4,7,8]
[5,9,1,2,3,8,4,6,7]=>[9,1,2,8,5,4,6,3,7]
[9,6,1,2,3,7,4,5,8]=>[6,1,2,9,3,7,4,5,8]
[9,8,1,2,3,7,4,5,6]=>[8,1,2,7,4,5,3,9,6]
[8,6,1,2,3,7,4,9,5]=>[6,1,2,8,7,9,4,5,3]
[5,6,1,2,3,7,9,4,8]=>[6,1,2,9,5,3,7,4,8]
[5,9,1,2,3,7,8,4,6]=>[9,1,2,8,5,4,3,7,6]
[9,6,1,2,3,7,8,4,5]=>[6,1,2,9,3,8,4,7,5]
[5,6,1,2,3,7,8,9,4]=>[6,1,2,9,5,3,7,8,4]
[5,4,1,2,9,3,6,7,8]=>[4,1,5,9,3,2,6,7,8]
[8,4,1,2,9,3,5,6,7]=>[4,1,8,9,2,5,6,3,7]
[5,9,1,2,6,3,4,7,8]=>[9,1,6,3,5,2,4,7,8]
[5,8,1,2,9,3,4,6,7]=>[8,1,9,3,5,4,6,2,7]
[9,8,1,2,6,3,4,5,7]=>[8,1,6,3,4,2,5,9,7]
[9,8,1,2,7,3,4,5,6]=>[8,1,7,3,4,5,2,9,6]
[9,7,1,2,6,3,8,4,5]=>[7,1,6,9,2,4,8,3,5]
[5,4,1,2,6,9,3,7,8]=>[4,1,5,9,3,6,2,7,8]
[9,4,1,2,8,7,3,5,6]=>[4,1,9,7,2,5,8,3,6]
[5,9,1,2,8,7,3,4,6]=>[9,1,7,3,5,4,8,2,6]
[9,8,1,2,6,7,3,4,5]=>[8,1,7,3,4,2,6,9,5]
[5,8,1,2,6,7,3,9,4]=>[8,1,7,9,5,2,6,3,4]
[5,4,1,2,6,7,9,3,8]=>[4,1,5,9,3,6,7,2,8]
[5,4,1,2,9,7,8,3,6]=>[4,1,5,8,3,2,9,7,6]
[5,9,1,2,6,7,8,3,4]=>[9,1,8,3,5,2,6,7,4]
[5,4,1,2,6,7,8,9,3]=>[4,1,5,9,3,6,7,8,2]
[4,3,1,9,2,5,6,7,8]=>[3,4,9,2,1,5,6,7,8]
[4,3,1,6,2,8,5,9,7]=>[3,4,6,2,8,1,9,5,7]
[9,3,1,5,2,4,6,7,8]=>[3,9,5,1,2,4,6,7,8]
[8,3,1,5,2,4,6,9,7]=>[3,8,5,1,2,4,9,6,7]
[7,3,1,5,2,4,9,6,8]=>[3,7,5,1,2,9,4,6,8]
[7,3,1,5,2,4,8,9,6]=>[3,7,5,1,2,9,4,8,6]
[9,3,1,8,2,4,5,6,7]=>[3,9,8,1,4,5,6,2,7]
[6,3,1,5,2,8,4,9,7]=>[3,6,5,8,2,1,9,4,7]
[9,3,1,5,2,7,4,6,8]=>[3,9,5,7,2,4,1,6,8]
[9,3,1,5,2,8,4,6,7]=>[3,9,5,8,2,4,6,1,7]
[8,3,1,5,2,7,4,9,6]=>[3,8,5,7,2,9,1,4,6]
[6,3,1,5,2,9,8,4,7]=>[3,6,5,8,2,1,4,9,7]
[9,3,1,5,2,7,8,4,6]=>[3,9,5,8,2,4,1,7,6]
[9,3,1,6,2,7,8,4,5]=>[3,9,6,8,4,2,1,7,5]
[9,4,1,5,2,3,6,7,8]=>[4,9,1,5,2,3,6,7,8]
[9,4,1,5,2,3,8,6,7]=>[4,9,1,5,2,8,6,3,7]
[9,4,1,8,2,3,5,6,7]=>[4,9,1,8,3,5,6,2,7]
[6,9,1,5,2,3,4,7,8]=>[9,5,2,3,1,6,4,7,8]
[9,7,1,6,2,3,4,5,8]=>[7,6,2,3,4,1,9,5,8]
[9,8,1,6,2,3,4,5,7]=>[8,6,2,3,4,1,5,9,7]
[8,7,1,9,2,3,4,5,6]=>[7,8,1,3,4,5,9,2,6]
[8,7,1,6,2,3,4,9,5]=>[7,6,2,3,8,5,9,4,1]
[9,4,1,6,2,8,3,5,7]=>[4,9,6,8,1,2,5,3,7]
[6,9,1,5,2,7,3,4,8]=>[9,5,7,3,1,6,2,4,8]
[9,8,1,6,2,7,3,4,5]=>[8,6,7,3,4,1,2,9,5]
[6,9,1,5,2,7,8,3,4]=>[9,5,8,3,1,6,2,7,4]
[6,4,1,5,2,7,8,9,3]=>[4,6,5,9,2,3,7,8,1]
[4,3,1,5,9,2,6,7,8]=>[3,4,9,2,5,1,6,7,8]
[8,3,1,5,6,2,4,9,7]=>[3,8,6,1,2,5,9,4,7]
[8,3,1,9,7,2,4,5,6]=>[3,8,7,1,4,5,9,2,6]
[9,3,1,5,7,2,8,4,6]=>[3,9,7,8,2,4,5,1,6]
[9,4,1,7,6,2,3,5,8]=>[4,9,1,6,3,7,2,5,8]
[8,4,1,9,7,2,3,5,6]=>[4,8,1,7,3,5,9,2,6]
[9,8,1,5,7,2,3,4,6]=>[8,7,2,3,1,4,5,9,6]
[9,8,1,7,6,2,3,4,5]=>[8,6,2,3,4,7,1,9,5]
[9,4,1,5,7,2,8,3,6]=>[4,9,7,8,2,1,5,3,6]
[7,9,1,5,6,2,8,3,4]=>[9,6,8,3,1,5,7,2,4]
[7,4,1,5,6,2,8,9,3]=>[4,7,6,9,2,5,3,8,1]
[4,3,1,5,6,8,2,9,7]=>[3,4,8,2,5,6,9,1,7]
[4,3,1,5,9,8,2,6,7]=>[3,4,8,2,5,1,6,9,7]
[4,3,1,5,8,7,2,9,6]=>[3,4,7,2,5,8,9,6,1]
[4,3,1,9,8,7,2,5,6]=>[3,4,7,2,1,5,8,9,6]
[8,3,1,5,6,7,2,9,4]=>[3,8,7,9,2,5,6,1,4]
[9,4,1,5,8,7,2,3,6]=>[4,9,1,7,2,3,8,5,6]
[9,4,1,8,6,7,2,3,5]=>[4,9,1,7,3,8,6,2,5]
[8,9,1,5,6,7,2,3,4]=>[9,7,2,3,1,5,6,8,4]
[8,4,1,5,6,7,2,9,3]=>[4,8,7,9,2,5,6,3,1]
[4,3,1,5,6,7,9,2,8]=>[3,4,9,2,5,6,7,1,8]
[4,3,1,5,6,9,8,2,7]=>[3,4,8,2,5,6,1,9,7]
[4,3,1,5,9,7,8,2,6]=>[3,4,8,2,5,1,9,7,6]
[4,3,1,9,6,7,8,2,5]=>[3,4,8,2,1,9,6,7,5]
[9,3,1,5,6,7,8,2,4]=>[3,9,8,1,2,5,6,7,4]
[9,4,1,5,6,7,8,2,3]=>[4,9,1,8,2,5,6,7,3]
[4,3,1,5,6,7,8,9,2]=>[3,4,9,2,5,6,7,8,1]
[2,3,9,1,4,5,6,7,8]=>[9,2,3,1,4,5,6,7,8]
[2,3,8,1,4,5,6,9,7]=>[8,2,3,1,4,5,9,6,7]
[2,3,9,1,4,5,8,6,7]=>[9,2,3,1,4,8,6,5,7]
[2,3,9,1,4,7,8,5,6]=>[9,2,3,1,8,5,4,7,6]
[2,3,9,1,8,7,4,5,6]=>[9,2,3,7,4,5,8,1,6]
[2,3,8,1,6,7,4,9,5]=>[8,2,3,7,9,1,6,4,5]
[2,3,5,1,6,7,9,4,8]=>[5,2,3,9,1,6,7,4,8]
[2,3,9,1,6,7,8,4,5]=>[9,2,3,8,4,1,6,7,5]
[2,3,5,1,6,7,8,9,4]=>[5,2,3,9,1,6,7,8,4]
[2,9,4,1,3,5,6,7,8]=>[4,2,1,9,3,5,6,7,8]
[2,6,4,1,3,7,8,9,5]=>[4,2,1,6,9,3,7,8,5]
[2,9,5,1,3,4,6,7,8]=>[5,2,1,3,9,4,6,7,8]
[2,6,9,1,3,4,5,7,8]=>[9,2,1,3,4,6,5,7,8]
[2,9,7,1,3,4,5,6,8]=>[7,2,1,3,4,5,9,6,8]
[2,9,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,9,7]
[2,6,7,1,3,4,8,9,5]=>[7,2,1,3,9,6,4,8,5]
[2,9,4,1,6,3,5,7,8]=>[4,2,9,6,1,3,5,7,8]
[2,8,4,1,9,3,5,6,7]=>[4,2,8,9,1,5,6,3,7]
[2,9,4,1,6,3,8,5,7]=>[4,2,9,6,8,3,5,1,7]
[2,9,8,1,7,3,4,5,6]=>[8,2,7,3,4,5,1,9,6]
[2,9,5,1,6,7,8,3,4]=>[5,2,9,1,8,3,6,7,4]
[2,5,4,1,6,7,8,9,3]=>[4,2,5,9,3,6,7,8,1]
[9,3,4,1,2,5,6,7,8]=>[4,1,9,3,2,5,6,7,8]
[9,3,4,1,2,5,8,6,7]=>[4,1,9,3,2,8,6,5,7]
[6,3,4,1,2,8,5,9,7]=>[4,1,6,3,8,2,9,5,7]
[9,3,4,1,2,7,8,5,6]=>[4,1,9,3,8,5,2,7,6]
[6,3,4,1,2,7,8,9,5]=>[4,1,6,3,9,2,7,8,5]
[9,3,5,1,2,4,8,6,7]=>[5,1,9,2,3,8,6,4,7]
[9,3,7,1,2,4,5,6,8]=>[7,1,9,2,4,5,3,6,8]
[9,3,8,1,2,4,5,6,7]=>[8,1,9,2,4,5,6,3,7]
[6,3,9,1,2,7,4,5,8]=>[9,1,6,7,4,3,2,5,8]
[9,5,4,1,2,3,6,7,8]=>[4,1,2,5,9,3,6,7,8]
[8,5,4,1,2,3,6,9,7]=>[4,1,2,5,8,3,9,6,7]
[6,9,4,1,2,3,5,7,8]=>[4,1,2,9,3,6,5,7,8]
[6,8,4,1,2,3,5,9,7]=>[4,1,2,8,3,6,9,5,7]
[9,7,4,1,2,3,5,6,8]=>[4,1,2,7,3,5,9,6,8]
[9,8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,9,7]
[6,9,5,1,2,3,4,7,8]=>[5,1,2,3,9,6,4,7,8]
[6,8,5,1,2,3,4,9,7]=>[5,1,2,3,8,6,9,4,7]
[8,7,5,1,2,3,4,9,6]=>[5,1,2,3,7,8,9,6,4]
[6,7,9,1,2,3,4,5,8]=>[9,1,2,3,4,6,7,5,8]
[6,9,8,1,2,3,4,5,7]=>[8,1,2,3,4,6,5,9,7]
[9,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,9,7,6]
[6,7,8,1,2,3,4,9,5]=>[8,1,2,3,9,6,7,4,5]
[9,7,5,1,2,3,8,4,6]=>[5,1,2,7,9,4,8,3,6]
[6,7,9,1,2,3,8,4,5]=>[9,1,2,8,4,6,7,3,5]
[6,7,5,1,2,3,8,9,4]=>[5,1,2,7,9,6,4,8,3]
[6,5,4,1,2,8,3,9,7]=>[4,1,5,6,8,2,9,3,7]
[9,5,4,1,2,8,3,6,7]=>[4,1,5,9,8,3,6,2,7]
[9,8,4,1,2,7,3,5,6]=>[4,1,8,7,2,5,3,9,6]
[6,8,4,1,2,7,3,9,5]=>[4,1,8,7,9,6,3,2,5]
[6,9,5,1,2,8,3,4,7]=>[5,1,9,2,8,6,4,3,7]
[9,8,5,1,2,7,3,4,6]=>[5,1,8,2,7,4,3,9,6]
[6,8,9,1,2,7,3,4,5]=>[9,1,7,3,4,6,2,8,5]
[6,8,5,1,2,7,3,9,4]=>[5,1,8,7,9,6,3,4,2]
[9,5,4,1,2,7,8,3,6]=>[4,1,5,9,8,3,2,7,6]
[6,9,4,1,2,7,8,3,5]=>[4,1,9,8,2,6,3,7,5]
[6,9,5,1,2,7,8,3,4]=>[5,1,9,2,8,6,3,7,4]
[6,5,4,1,2,7,8,9,3]=>[4,1,5,6,9,2,7,8,3]
[8,3,5,1,6,2,4,9,7]=>[5,6,8,2,3,1,9,4,7]
[9,3,8,1,7,2,4,5,6]=>[8,7,9,2,4,5,1,3,6]
[7,3,8,1,6,2,4,9,5]=>[8,6,7,2,9,1,3,4,5]
[9,3,5,1,7,2,8,4,6]=>[5,7,9,8,3,4,1,2,6]
[7,3,9,1,6,2,8,4,5]=>[9,6,7,8,4,1,3,2,5]
[7,3,5,1,6,2,8,9,4]=>[5,6,7,9,3,1,2,8,4]
[9,5,4,1,7,2,3,6,8]=>[4,5,2,9,7,3,1,6,8]
[8,5,4,1,9,2,3,6,7]=>[4,5,2,8,9,3,6,1,7]
[9,8,4,1,7,2,3,5,6]=>[4,8,1,7,3,5,2,9,6]
[7,8,4,1,6,2,3,9,5]=>[4,8,1,6,9,2,7,3,5]
[9,8,5,1,6,2,3,4,7]=>[5,8,1,3,6,2,4,9,7]
[9,8,5,1,7,2,3,4,6]=>[5,8,1,3,7,4,2,9,6]
[7,8,9,1,6,2,3,4,5]=>[9,6,2,3,4,1,7,8,5]
[7,8,5,1,6,2,3,9,4]=>[5,8,1,6,9,2,7,4,3]
[9,5,4,1,7,2,8,3,6]=>[4,5,9,7,8,2,3,1,6]
[7,9,4,1,6,2,8,3,5]=>[4,9,6,8,1,2,7,3,5]
[7,9,5,1,6,2,8,3,4]=>[5,9,6,1,8,2,7,3,4]
[7,5,4,1,6,2,8,9,3]=>[4,5,7,6,9,3,1,8,2]
[5,3,4,1,6,8,2,9,7]=>[4,8,5,3,1,6,9,2,7]
[5,3,4,1,9,8,2,6,7]=>[4,8,5,3,1,2,6,9,7]
[9,3,4,1,8,7,2,5,6]=>[4,7,8,2,3,5,9,1,6]
[8,3,4,1,6,7,2,9,5]=>[4,7,8,3,9,1,6,2,5]
[9,3,5,1,6,8,2,4,7]=>[5,8,9,2,3,1,4,6,7]
[9,3,5,1,8,7,2,4,6]=>[5,7,8,3,2,4,9,1,6]
[8,3,9,1,6,7,2,4,5]=>[9,7,8,2,4,1,6,3,5]
[8,3,5,1,6,7,2,9,4]=>[5,7,8,9,3,1,6,2,4]
[9,5,4,1,6,8,2,3,7]=>[4,5,2,9,8,1,3,6,7]
[9,5,4,1,8,7,2,3,6]=>[4,5,2,9,7,3,8,1,6]
[8,9,4,1,6,7,2,3,5]=>[4,9,1,7,3,2,6,8,5]
[8,9,5,1,6,7,2,3,4]=>[5,9,1,3,7,2,6,8,4]
[8,5,4,1,6,7,2,9,3]=>[4,5,8,7,9,3,6,1,2]
[5,3,4,1,6,7,9,2,8]=>[4,9,5,3,1,6,7,2,8]
[5,3,4,1,6,9,8,2,7]=>[4,8,5,3,1,6,2,9,7]
[5,3,4,1,9,7,8,2,6]=>[4,8,5,3,1,2,9,7,6]
[9,3,4,1,6,7,8,2,5]=>[4,8,9,3,2,1,6,7,5]
[9,3,5,1,6,7,8,2,4]=>[5,8,9,2,3,1,6,7,4]
[9,5,4,1,6,7,8,2,3]=>[4,5,2,9,8,1,6,7,3]
[5,3,4,1,6,7,8,9,2]=>[4,9,5,3,1,6,7,8,2]
[2,3,4,9,1,5,6,7,8]=>[9,2,3,4,1,5,6,7,8]
[2,3,4,9,1,5,8,6,7]=>[9,2,3,4,1,8,6,5,7]
[2,3,4,6,1,8,5,9,7]=>[6,2,3,4,8,1,9,5,7]
[2,3,4,9,1,7,8,5,6]=>[9,2,3,4,8,5,1,7,6]
[2,3,4,6,1,7,8,9,5]=>[6,2,3,4,9,1,7,8,5]
[2,3,9,5,1,4,6,7,8]=>[5,2,3,1,9,4,6,7,8]
[2,3,9,6,1,4,5,7,8]=>[6,2,3,1,4,9,5,7,8]
[2,3,7,9,1,4,5,6,8]=>[9,2,3,1,4,5,7,6,8]
[2,3,9,8,1,4,5,6,7]=>[8,2,3,1,4,5,6,9,7]
[2,3,9,5,1,7,4,6,8]=>[5,2,3,9,7,1,4,6,8]
[2,3,9,6,1,7,8,4,5]=>[6,2,3,9,1,8,4,7,5]
[2,9,4,5,1,3,6,7,8]=>[5,2,1,9,4,3,6,7,8]
[2,7,4,5,1,3,8,9,6]=>[5,2,1,7,4,9,3,8,6]
[2,9,8,6,1,3,4,5,7]=>[6,2,1,3,4,8,5,9,7]
[2,7,8,9,1,3,4,5,6]=>[9,2,1,3,4,5,7,8,6]
[2,7,8,6,1,3,4,9,5]=>[6,2,1,3,8,9,7,5,4]
[2,7,9,5,1,3,8,4,6]=>[5,2,1,9,8,3,7,4,6]
[2,7,9,6,1,3,8,4,5]=>[6,2,1,9,3,8,7,4,5]
[2,7,6,5,1,3,8,9,4]=>[5,2,1,6,7,9,3,8,4]
[2,8,4,9,1,7,3,5,6]=>[9,2,7,8,3,5,1,4,6]
[2,8,4,6,1,7,3,9,5]=>[6,2,7,8,9,4,1,3,5]
[2,8,9,5,1,7,3,4,6]=>[5,2,9,1,7,4,3,8,6]
[2,8,9,6,1,7,3,4,5]=>[6,2,9,1,4,7,3,8,5]
[2,8,6,5,1,7,3,9,4]=>[5,2,6,8,7,9,4,1,3]
[2,9,4,5,1,7,8,3,6]=>[5,2,8,9,4,3,1,7,6]
[2,9,4,6,1,7,8,3,5]=>[6,2,8,9,3,4,1,7,5]
[2,9,6,5,1,7,8,3,4]=>[5,2,6,3,9,8,1,7,4]
[2,6,4,5,1,7,8,9,3]=>[5,2,9,6,4,1,7,8,3]
[7,3,4,5,1,2,8,9,6]=>[5,1,7,3,4,9,2,8,6]
[9,3,4,8,1,2,5,6,7]=>[8,1,9,3,2,5,6,4,7]
[7,3,4,8,1,2,5,9,6]=>[8,1,7,3,2,9,4,5,6]
[7,3,9,5,1,2,4,6,8]=>[5,1,9,3,7,4,2,6,8]
[7,3,8,9,1,2,4,5,6]=>[9,1,7,2,4,5,3,8,6]
[7,3,8,6,1,2,4,9,5]=>[6,1,8,3,7,9,5,4,2]
[7,3,9,5,1,2,8,4,6]=>[5,1,9,7,8,2,4,3,6]
[7,3,9,6,1,2,8,4,5]=>[6,1,9,7,2,8,4,3,5]
[7,3,6,5,1,2,8,9,4]=>[5,1,6,7,9,4,3,8,2]
[8,6,4,5,1,2,3,9,7]=>[5,1,2,6,4,8,9,3,7]
[9,8,4,5,1,2,3,6,7]=>[5,1,2,8,4,3,6,9,7]
[7,8,4,9,1,2,3,5,6]=>[9,1,2,8,3,5,7,4,6]
[7,8,4,6,1,2,3,9,5]=>[6,1,2,8,9,4,7,3,5]
[9,8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,9,7]
[7,8,9,5,1,2,3,4,6]=>[5,1,2,3,9,4,7,8,6]
[7,8,9,6,1,2,3,4,5]=>[6,1,2,3,4,9,7,8,5]
[7,8,6,5,1,2,3,9,4]=>[5,1,2,6,8,9,7,3,4]
[7,6,4,5,1,2,9,3,8]=>[5,1,9,6,4,7,2,3,8]
[7,9,4,5,1,2,8,3,6]=>[5,1,8,9,4,3,7,2,6]
[7,9,4,6,1,2,8,3,5]=>[6,1,8,9,3,4,7,2,5]
[7,9,6,5,1,2,8,3,4]=>[5,1,6,3,9,8,7,2,4]
[7,6,4,5,1,2,8,9,3]=>[5,1,9,6,4,7,2,8,3]
[6,3,4,5,1,8,2,9,7]=>[5,8,6,3,4,1,9,2,7]
[8,3,4,9,1,7,2,5,6]=>[9,7,8,3,2,5,1,4,6]
[8,3,4,6,1,7,2,9,5]=>[6,7,8,3,9,4,1,2,5]
[8,3,9,5,1,7,2,4,6]=>[5,9,7,3,8,4,2,1,6]
[8,3,9,6,1,7,2,4,5]=>[6,9,7,3,4,8,2,1,5]
[8,3,6,5,1,7,2,9,4]=>[5,6,7,8,9,4,2,3,1]
[9,6,4,5,1,8,2,3,7]=>[5,8,2,6,4,9,3,1,7]
[8,9,4,5,1,7,2,3,6]=>[5,7,2,9,4,3,1,8,6]
[8,9,4,6,1,7,2,3,5]=>[6,7,2,9,3,4,1,8,5]
[8,9,6,5,1,7,2,3,4]=>[5,6,2,3,9,7,1,8,4]
[8,6,4,5,1,7,2,9,3]=>[5,7,9,6,4,8,1,2,3]
[6,3,4,5,1,7,9,2,8]=>[5,9,6,3,4,1,7,2,8]
[6,3,4,5,1,9,8,2,7]=>[5,8,6,3,4,1,2,9,7]
[9,3,4,5,1,7,8,2,6]=>[5,8,9,3,4,2,1,7,6]
[9,3,4,6,1,7,8,2,5]=>[6,8,9,3,2,4,1,7,5]
[9,3,6,5,1,7,8,2,4]=>[5,6,8,3,9,1,2,7,4]
[9,6,4,5,1,7,8,2,3]=>[5,8,2,6,4,9,1,7,3]
[6,3,4,5,1,7,8,9,2]=>[5,9,6,3,4,1,7,8,2]
[2,3,4,5,9,1,6,7,8]=>[9,2,3,4,5,1,6,7,8]
[2,3,4,5,8,1,6,9,7]=>[8,2,3,4,5,1,9,6,7]
[2,3,4,5,9,1,8,6,7]=>[9,2,3,4,5,8,6,1,7]
[2,3,4,5,7,1,8,9,6]=>[7,2,3,4,5,9,1,8,6]
[2,3,4,9,6,1,5,7,8]=>[6,2,3,4,1,9,5,7,8]
[2,3,4,9,7,1,5,6,8]=>[7,2,3,4,1,5,9,6,8]
[2,3,4,9,6,1,8,5,7]=>[6,2,3,4,9,8,1,5,7]
[2,3,4,9,7,1,8,5,6]=>[7,2,3,4,9,1,8,5,6]
[2,3,9,5,6,1,4,7,8]=>[6,2,3,1,9,5,4,7,8]
[2,3,8,5,6,1,4,9,7]=>[6,2,3,1,8,5,9,4,7]
[2,3,8,9,7,1,4,5,6]=>[7,2,3,1,4,5,9,8,6]
[2,3,8,7,6,1,4,9,5]=>[6,2,3,1,7,8,9,4,5]
[2,3,7,5,6,1,9,4,8]=>[6,2,3,9,7,5,1,4,8]
[2,3,9,5,6,1,8,4,7]=>[6,2,3,8,9,5,4,1,7]
[2,3,9,5,7,1,8,4,6]=>[7,2,3,8,9,4,5,1,6]
[2,3,9,7,6,1,8,4,5]=>[6,2,3,7,4,9,8,1,5]
[2,3,7,5,6,1,8,9,4]=>[6,2,3,9,7,5,1,8,4]
[2,8,4,5,6,1,3,9,7]=>[6,2,1,8,4,5,9,3,7]
[2,8,4,9,7,1,3,5,6]=>[7,2,1,9,4,5,8,3,6]
[2,8,4,7,6,1,3,9,5]=>[6,2,1,7,8,9,5,4,3]
[2,8,9,5,7,1,3,4,6]=>[7,2,1,3,9,4,5,8,6]
[2,8,9,7,6,1,3,4,5]=>[6,2,1,3,4,7,9,8,5]
[2,8,7,5,6,1,3,9,4]=>[6,2,1,9,7,5,8,3,4]
[2,7,4,5,6,1,9,3,8]=>[6,2,9,7,4,5,1,3,8]
[2,9,4,5,6,1,8,3,7]=>[6,2,8,9,4,5,3,1,7]
[2,9,4,5,7,1,8,3,6]=>[7,2,8,9,4,3,5,1,6]
[2,9,4,7,6,1,8,3,5]=>[6,2,7,8,4,9,1,3,5]
[2,9,7,5,6,1,8,3,4]=>[6,2,8,3,7,5,9,1,4]
[2,7,4,5,6,1,8,9,3]=>[6,2,9,7,4,5,1,8,3]
[8,3,4,5,6,1,2,9,7]=>[6,1,8,3,4,5,9,2,7]
[8,3,4,9,6,1,2,5,7]=>[6,1,9,2,3,8,5,4,7]
[8,3,4,9,7,1,2,5,6]=>[7,1,9,2,3,5,8,4,6]
[8,3,4,7,6,1,2,9,5]=>[6,1,7,2,8,9,5,3,4]
[8,3,9,5,6,1,2,4,7]=>[6,1,8,2,9,5,4,3,7]
[8,3,9,5,7,1,2,4,6]=>[7,1,8,2,9,4,5,3,6]
[8,3,9,7,6,1,2,4,5]=>[6,1,7,2,4,9,8,3,5]
[8,3,7,5,6,1,2,9,4]=>[6,1,8,9,7,5,3,2,4]
[9,7,4,5,6,1,2,3,8]=>[6,1,2,7,4,5,9,3,8]
[8,9,4,5,6,1,2,3,7]=>[6,1,2,9,4,5,3,8,7]
[8,9,4,5,7,1,2,3,6]=>[7,1,2,9,4,3,5,8,6]
[8,9,4,7,6,1,2,3,5]=>[6,1,2,7,4,9,3,8,5]
[8,9,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,9,8,4]
[8,7,4,5,6,1,2,9,3]=>[6,1,9,7,4,5,8,2,3]
[7,3,4,5,6,1,9,2,8]=>[6,9,7,3,4,5,1,2,8]
[9,3,4,5,6,1,8,2,7]=>[6,8,9,3,4,5,2,1,7]
[9,3,4,5,7,1,8,2,6]=>[7,8,9,3,4,2,5,1,6]
[9,3,4,7,6,1,8,2,5]=>[6,7,8,1,3,9,4,2,5]
[9,3,7,5,6,1,8,2,4]=>[6,8,9,2,7,5,3,1,4]
[9,7,4,5,6,1,8,2,3]=>[6,8,2,7,4,5,9,1,3]
[7,3,4,5,6,1,8,9,2]=>[6,9,7,3,4,5,1,8,2]
[2,3,4,5,6,9,1,7,8]=>[9,2,3,4,5,6,1,7,8]
[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7]
[2,3,4,5,9,7,1,6,8]=>[7,2,3,4,5,1,9,6,8]
[2,3,4,5,9,8,1,6,7]=>[8,2,3,4,5,1,6,9,7]
[2,3,4,5,8,7,1,9,6]=>[7,2,3,4,5,8,9,6,1]
[2,3,4,9,6,7,1,5,8]=>[7,2,3,4,1,9,6,5,8]
[2,3,4,9,6,8,1,5,7]=>[8,2,3,4,1,9,5,6,7]
[2,3,4,9,8,7,1,5,6]=>[7,2,3,4,1,5,8,9,6]
[2,3,4,8,6,7,1,9,5]=>[7,2,3,4,9,8,6,1,5]
[2,3,9,5,6,7,1,4,8]=>[7,2,3,1,9,5,6,4,8]
[2,3,9,5,6,8,1,4,7]=>[8,2,3,1,9,5,4,6,7]
[2,3,9,5,8,7,1,4,6]=>[7,2,3,1,8,5,9,4,6]
[2,3,9,8,6,7,1,4,5]=>[7,2,3,1,4,8,6,9,5]
[2,3,8,5,6,7,1,9,4]=>[7,2,3,9,8,5,6,1,4]
[2,9,4,5,6,7,1,3,8]=>[7,2,1,9,4,5,6,3,8]
[2,9,4,5,6,8,1,3,7]=>[8,2,1,9,4,5,3,6,7]
[2,9,4,5,8,7,1,3,6]=>[7,2,1,8,3,4,9,5,6]
[2,9,4,8,6,7,1,3,5]=>[7,2,1,9,3,8,6,4,5]
[2,9,8,5,6,7,1,3,4]=>[7,2,1,3,8,5,6,9,4]
[2,8,4,5,6,7,1,9,3]=>[7,2,9,8,4,5,6,1,3]
[9,3,4,5,6,7,1,2,8]=>[7,1,9,3,4,5,6,2,8]
[9,3,4,5,6,8,1,2,7]=>[8,1,9,3,4,5,2,6,7]
[9,3,4,5,8,7,1,2,6]=>[7,1,8,2,4,3,9,5,6]
[9,3,4,8,6,7,1,2,5]=>[7,1,9,3,2,8,6,4,5]
[9,3,8,5,6,7,1,2,4]=>[7,1,9,2,8,5,6,3,4]
[9,8,4,5,6,7,1,2,3]=>[7,1,2,8,4,5,6,9,3]
[8,3,4,5,6,7,1,9,2]=>[7,9,8,3,4,5,6,1,2]
[2,3,4,5,6,7,9,1,8]=>[9,2,3,4,5,6,7,1,8]
[2,3,4,5,6,9,8,1,7]=>[8,2,3,4,5,6,1,9,7]
[2,3,4,5,9,7,8,1,6]=>[8,2,3,4,5,1,9,7,6]
[2,3,4,9,6,7,8,1,5]=>[8,2,3,4,1,9,6,7,5]
[2,3,9,5,6,7,8,1,4]=>[8,2,3,1,9,5,6,7,4]
[2,9,4,5,6,7,8,1,3]=>[8,2,1,9,4,5,6,7,3]
[9,3,4,5,6,7,8,1,2]=>[8,1,9,3,4,5,6,7,2]
[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]
[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]
[2,3,4,5,6,8,9,1,7]=>[9,2,3,4,5,6,1,8,7]
[2,3,4,5,7,8,9,1,6]=>[9,2,3,4,5,1,7,8,6]
[2,3,4,6,7,8,9,1,5]=>[9,2,3,4,1,6,7,8,5]
[2,3,5,6,7,8,9,1,4]=>[9,2,3,1,5,6,7,8,4]
[2,4,5,6,7,8,9,1,3]=>[9,2,1,4,5,6,7,8,3]
[3,4,5,6,7,8,9,1,2]=>[9,1,3,4,5,6,7,8,2]
[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]
[2,3,4,5,6,1,9,7,8]=>[6,2,3,4,5,1,9,7,8]
[2,3,4,5,1,8,9,6,7]=>[5,2,3,4,1,9,6,8,7]
[2,3,4,1,7,8,9,5,6]=>[4,2,3,1,9,5,7,8,6]
[2,3,1,6,7,8,9,4,5]=>[3,2,1,9,4,6,7,8,5]
[2,1,5,6,7,8,9,3,4]=>[2,1,9,3,5,6,7,8,4]
[1,4,5,6,7,8,9,2,3]=>[1,9,2,4,5,6,7,8,3]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,9,6,7]
[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,9,8]
[2,1,9,3,4,5,6,7,8]=>[2,1,9,3,4,5,6,7,8]
[2,8,1,3,4,5,6,7,9]=>[8,2,1,3,4,5,6,7,9]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]
[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]
[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6]
[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,7,6,8,5]
[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,6,5,7,8,4]
[1,2,5,4,6,7,8,9,3]=>[1,2,9,5,4,6,7,8,3]
[1,4,3,5,6,7,8,9,2]=>[1,9,4,3,5,6,7,8,2]
[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]
[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]
[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1]
[8,7,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,7,1]
[8,7,6,9,5,4,3,2,1]=>[2,3,4,5,9,7,8,6,1]
[8,7,6,5,9,4,3,2,1]=>[2,3,4,9,6,7,8,5,1]
[8,7,6,5,4,9,3,2,1]=>[2,3,9,5,6,7,8,4,1]
[8,7,6,5,4,3,9,2,1]=>[2,9,4,5,6,7,8,3,1]
[8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,2,1]
[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]
[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1]
[8,6,7,9,5,4,3,2,1]=>[2,3,4,5,9,8,6,7,1]
[8,7,5,6,9,4,3,2,1]=>[2,3,4,9,7,5,8,6,1]
[8,7,6,4,5,9,3,2,1]=>[2,3,9,6,4,7,8,5,1]
[8,7,6,5,3,4,9,2,1]=>[2,9,5,3,6,7,8,4,1]
[8,7,6,5,4,2,3,9,1]=>[9,4,2,5,6,7,8,3,1]
[8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,2,9]
[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2]
[8,7,6,4,5,3,2,1,9]=>[2,3,5,6,4,7,8,1,9]
[1,9,8,7,5,6,4,3,2]=>[1,3,4,6,7,5,8,9,2]
[8,7,5,4,6,3,2,1,9]=>[2,3,6,5,7,4,8,1,9]
[8,7,4,6,5,3,2,1,9]=>[2,3,5,6,7,1,8,4,9]
[1,9,8,6,5,7,4,3,2]=>[1,3,4,7,6,8,5,9,2]
[1,9,8,5,7,6,4,3,2]=>[1,3,4,6,7,8,2,9,5]
[9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]
[9,2,3,1,4,5,6,7,8]=>[3,9,2,1,4,5,6,7,8]
[4,2,3,5,6,7,8,9,1]=>[9,4,2,3,5,6,7,8,1]
[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,9,4,7,8,5]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,9,3,6,7,8,4]
[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]
[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,7]
[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]
[9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,6]
[6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,6,7,8,5]
[9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,5]
[8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,8,5]
[9,8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,9,5]
[9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,5]
[9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,4]
[8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,8,4]
[9,8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,9,4]
[9,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,9,7,4]
[9,8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,9,4]
[9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,4]
[7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,7,8,3]
[9,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,9,7,3]
[9,8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,9,3]
[8,9,6,7,4,5,1,2,3]=>[5,1,2,7,4,9,6,8,3]
[9,8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,9,3]
[9,8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,9,3]
[9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,3]
[9,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,9,7,2]
[9,8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,9,2]
[9,8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,9,2]
[9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,2]
[7,8,6,5,4,3,2,1,9]=>[2,3,4,5,6,8,7,1,9]
[1,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,2]
[7,6,8,5,4,3,2,1,9]=>[2,3,4,5,8,7,6,1,9]
[6,8,7,5,4,3,2,1,9]=>[2,3,4,5,7,6,8,1,9]
[1,8,7,9,6,5,4,3,2]=>[1,3,4,5,6,9,8,7,2]
[1,7,9,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,9,2]
[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]
[7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,7,6,9]
[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]
[7,1,8,2,3,4,5,6,9]=>[7,8,2,3,4,5,1,6,9]
[6,8,1,2,3,4,5,7,9]=>[8,1,2,3,4,6,5,7,9]
[1,8,2,9,3,4,5,6,7]=>[1,8,9,3,4,5,6,2,7]
[1,7,9,2,3,4,5,6,8]=>[1,9,2,3,4,5,7,6,8]
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]
[2,4,1,3,6,5,8,7,9]=>[4,2,1,3,6,5,8,7,9]
[2,4,1,6,3,5,8,7,9]=>[4,2,6,1,3,5,8,7,9]
[2,4,1,6,3,8,5,7,9]=>[4,2,6,1,8,3,5,7,9]
[2,4,1,6,3,7,5,9,8]=>[4,2,6,1,7,3,5,9,8]
[2,4,1,5,3,7,6,9,8]=>[4,2,5,1,3,7,6,9,8]
[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]
[2,4,6,1,3,5,8,7,9]=>[6,2,1,4,3,5,8,7,9]
[2,4,1,6,8,3,5,7,9]=>[4,2,8,1,3,6,5,7,9]
[2,4,1,6,3,8,9,5,7]=>[4,2,6,1,9,3,5,8,7]
[2,4,1,6,3,7,5,8,9]=>[4,2,6,1,7,3,5,8,9]
[2,4,1,5,3,8,6,9,7]=>[4,2,5,1,3,8,9,6,7]
[2,3,1,6,4,7,5,9,8]=>[3,2,1,6,7,4,5,9,8]
[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]
[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]
[3,4,1,2,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]
[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[4,5,6,1,2,3,7,8,9]=>[6,1,2,4,5,3,7,8,9]
[4,2,5,1,3,6,7,8,9]=>[5,4,1,2,3,6,7,8,9]
[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[5,6,7,8,1,2,3,4,9]=>[8,1,2,3,5,6,7,4,9]
[5,2,6,7,1,3,4,8,9]=>[7,5,1,3,2,6,4,8,9]
[5,6,3,4,1,2,7,8,9]=>[4,1,6,3,5,2,7,8,9]
[5,3,2,6,1,4,7,8,9]=>[6,3,5,1,2,4,7,8,9]
[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[6,2,7,8,9,1,3,4,5]=>[9,6,1,3,4,2,7,8,5]
[6,7,3,4,8,1,2,5,9]=>[8,1,7,3,2,6,4,5,9]
[6,3,2,7,8,1,4,5,9]=>[8,3,6,1,4,2,7,5,9]
[6,4,7,2,5,1,3,8,9]=>[5,7,1,6,2,4,3,8,9]
[6,4,3,2,7,1,5,8,9]=>[7,3,4,6,1,2,5,8,9]
[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[7,4,8,2,5,9,1,3,6]=>[9,8,1,7,2,3,4,5,6]
[7,4,3,2,8,9,1,5,6]=>[9,3,4,7,1,5,2,8,6]
[7,8,5,6,3,4,1,2,9]=>[4,1,6,3,8,5,7,2,9]
[7,5,3,8,2,6,1,4,9]=>[6,8,5,1,7,2,3,4,9]
[7,5,4,3,2,8,1,6,9]=>[8,3,4,5,7,1,2,6,9]
[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]
[8,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,8,4,6,3]
[8,6,4,3,9,2,7,1,5]=>[7,9,4,6,1,8,2,3,5]
[8,6,5,4,3,2,9,1,7]=>[9,3,4,5,6,8,1,2,7]
[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]
[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]
[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]
[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]
[2,4,3,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]
[2,3,5,4,1,6,7,8,9]=>[4,2,3,5,1,6,7,8,9]
[2,3,4,6,5,1,7,8,9]=>[5,2,3,4,6,1,7,8,9]
[2,3,4,5,7,6,1,8,9]=>[6,2,3,4,5,7,1,8,9]
[2,3,4,5,6,8,7,1,9]=>[7,2,3,4,5,6,8,1,9]
[2,3,4,5,6,7,9,8,1]=>[8,2,3,4,5,6,7,9,1]
[3,4,1,5,6,7,8,9,2]=>[4,9,3,1,5,6,7,8,2]
[3,4,5,1,6,7,8,9,2]=>[5,9,3,4,1,6,7,8,2]
[3,4,5,6,1,7,8,9,2]=>[6,9,3,4,5,1,7,8,2]
[3,4,5,6,7,1,8,9,2]=>[7,9,3,4,5,6,1,8,2]
[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2]
[3,1,2,5,6,7,8,9,4]=>[3,1,2,9,5,6,7,8,4]
[3,4,1,2,6,7,8,9,5]=>[4,1,3,2,9,6,7,8,5]
[3,4,5,1,2,7,8,9,6]=>[5,1,3,4,2,9,7,8,6]
[3,4,5,6,1,2,8,9,7]=>[6,1,3,4,5,2,9,8,7]
[3,4,5,6,7,1,2,9,8]=>[7,1,3,4,5,6,2,9,8]
[3,4,5,6,7,8,1,2,9]=>[8,1,3,4,5,6,7,2,9]
[8,7,6,5,4,3,1,9,2]=>[3,4,5,6,7,8,9,2,1]
[7,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,8]
[1,7,6,5,4,3,9,8,2]=>[1,8,4,5,6,7,3,9,2]
[1,9,6,5,4,3,2,8,7]=>[1,3,4,5,6,9,8,2,7]
[8,1,6,5,4,3,9,7,2]=>[8,7,4,5,6,1,9,3,2]
[3,7,6,5,4,9,1,8,2]=>[9,8,3,5,6,7,4,1,2]
[7,9,1,5,4,3,2,8,6]=>[9,3,4,5,1,8,7,2,6]
[2,9,6,5,4,3,8,1,7]=>[8,2,4,5,6,9,1,3,7]
[8,7,1,5,4,3,9,6,2]=>[7,6,4,5,2,8,9,3,1]
[1,3,6,5,4,9,8,7,2]=>[1,7,3,5,6,4,8,9,2]
[4,7,6,5,9,3,1,8,2]=>[3,9,8,4,6,7,5,2,1]
[7,9,6,1,4,3,2,8,5]=>[6,3,4,1,9,8,7,5,2]
[1,9,2,5,4,3,8,7,6]=>[1,9,4,5,2,7,8,3,6]
[3,9,6,5,4,8,2,1,7]=>[2,8,3,5,6,9,1,4,7]
[7,9,6,5,4,3,2,8,1]=>[8,3,4,5,6,9,7,2,1]
[8,9,6,5,4,3,2,1,7]=>[2,3,4,5,6,9,1,8,7]
[8,7,6,5,4,3,9,1,2]=>[9,1,4,5,6,7,8,3,2]
[9,7,6,5,4,3,1,8,2]=>[3,4,5,6,7,9,8,2,1]
[7,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,1]
[6,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,1]
[5,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,1]
[4,9,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,9,1]
[3,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,1]
[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1]
[6,9,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,9,7,1]
[5,9,8,6,7,4,3,2,1]=>[2,3,4,7,5,8,6,9,1]
[4,9,8,7,5,6,3,2,1]=>[2,3,6,4,7,5,8,9,1]
[3,9,8,7,6,4,5,2,1]=>[2,5,3,6,4,7,8,9,1]
[2,9,8,7,6,5,3,4,1]=>[4,2,5,3,6,7,8,9,1]
[1,9,8,7,6,5,4,2,3]=>[1,4,2,5,6,7,8,9,3]
[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]
[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]
[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]
[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]
[1,2,3,4,5,9,7,6,8]=>[1,2,3,4,5,7,9,6,8]
[1,2,3,4,9,6,5,7,8]=>[1,2,3,4,6,9,5,7,8]
[1,2,3,9,5,4,6,7,8]=>[1,2,3,5,9,4,6,7,8]
[1,2,9,4,3,5,6,7,8]=>[1,2,4,9,3,5,6,7,8]
[1,9,3,2,4,5,6,7,8]=>[1,3,9,2,4,5,6,7,8]
[7,6,9,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,9,1]
[6,5,4,9,8,7,3,2,1]=>[2,3,7,5,6,4,8,9,1]
[6,8,5,9,7,4,3,2,1]=>[2,3,4,7,9,6,8,1,5]
[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1]
[5,4,3,2,9,8,7,6,1]=>[6,3,4,5,2,7,8,9,1]
[5,8,4,3,9,7,6,2,1]=>[2,6,4,7,5,9,8,3,1]
[5,4,7,6,9,8,3,2,1]=>[2,3,8,5,4,7,6,9,1]
[5,7,8,4,9,6,3,2,1]=>[2,3,6,9,5,8,7,1,4]
[5,6,7,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,1]
[4,8,3,2,1,9,7,6,5]=>[2,3,8,4,6,7,9,1,5]
[4,3,7,6,2,9,8,5,1]=>[5,8,4,3,6,7,1,9,2]
[4,7,8,3,2,9,6,5,1]=>[5,3,6,4,9,8,7,2,1]
[4,6,3,8,5,9,7,2,1]=>[2,7,6,4,9,3,8,1,5]
[4,6,7,8,3,9,5,2,1]=>[2,5,9,4,8,6,7,1,3]
[4,5,6,7,8,9,3,2,1]=>[2,3,9,4,5,6,7,8,1]
[3,2,1,6,5,4,9,8,7]=>[2,3,1,5,6,4,8,9,7]
[3,6,2,8,5,1,9,7,4]=>[5,8,3,6,7,4,9,2,1]
[3,6,7,8,2,1,9,5,4]=>[2,8,3,5,9,6,7,1,4]
[3,2,5,4,7,6,9,8,1]=>[8,3,2,5,4,7,6,9,1]
[3,5,7,2,8,4,9,6,1]=>[6,9,3,7,5,8,4,1,2]
[3,5,6,7,8,2,9,4,1]=>[4,9,3,8,5,6,7,1,2]
[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1]
[2,4,6,7,1,8,3,9,5]=>[7,2,8,4,9,6,1,3,5]
[2,4,5,6,7,8,1,9,3]=>[8,2,9,4,5,6,7,1,3]
[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[2,3,5,1,4,6,7,8,9]=>[5,2,3,1,4,6,7,8,9]
[2,3,4,6,1,5,7,8,9]=>[6,2,3,4,1,5,7,8,9]
[2,3,4,5,7,1,6,8,9]=>[7,2,3,4,5,1,6,8,9]
[2,3,4,5,6,8,1,7,9]=>[8,2,3,4,5,6,1,7,9]
[7,6,5,4,3,2,9,1,8]=>[9,3,4,5,6,7,2,1,8]
[6,5,4,3,9,2,8,1,7]=>[8,9,4,5,6,3,1,2,7]
[6,5,4,3,2,8,1,7,9]=>[8,3,4,5,6,2,1,7,9]
[5,4,9,3,8,2,7,1,6]=>[7,8,9,5,4,1,2,3,6]
[5,4,3,8,2,7,1,6,9]=>[7,8,4,5,3,1,2,6,9]
[5,4,3,2,7,9,1,6,8]=>[9,3,4,5,2,1,7,6,8]
[5,4,3,2,7,1,6,8,9]=>[7,3,4,5,2,1,6,8,9]
[4,8,3,7,2,6,1,5,9]=>[6,7,8,4,1,2,3,5,9]
[4,3,7,2,6,9,1,5,8]=>[9,7,4,3,1,2,6,5,8]
[4,3,7,2,6,1,5,8,9]=>[6,7,4,3,1,2,5,8,9]
[4,3,2,6,8,1,5,7,9]=>[8,3,4,2,1,6,5,7,9]
[4,3,2,6,1,5,7,8,9]=>[6,3,4,2,1,5,7,8,9]
[3,6,9,2,5,8,1,4,7]=>[8,9,3,1,2,6,4,5,7]
[3,6,2,5,8,1,4,7,9]=>[8,6,3,1,2,5,4,7,9]
[3,6,2,5,1,4,7,8,9]=>[5,6,3,1,2,4,7,8,9]
[3,2,5,7,9,1,4,6,8]=>[9,3,2,1,5,4,7,6,8]
[3,2,5,7,1,4,6,8,9]=>[7,3,2,1,5,4,6,8,9]
[3,2,5,1,4,6,7,8,9]=>[5,3,2,1,4,6,7,8,9]
[2,4,6,8,1,3,5,7,9]=>[8,2,1,4,3,6,5,7,9]
[2,4,6,1,3,5,7,8,9]=>[6,2,1,4,3,5,7,8,9]
[8,7,6,5,4,2,1,9,3]=>[2,4,5,6,7,8,9,1,3]
[8,7,6,5,3,2,1,9,4]=>[2,3,5,6,7,8,9,4,1]
[8,7,6,4,3,2,1,9,5]=>[2,3,4,6,7,8,9,1,5]
[8,7,5,4,3,2,1,9,6]=>[2,3,4,5,7,8,9,6,1]
[8,6,5,4,3,2,1,9,7]=>[2,3,4,5,6,8,9,1,7]
[7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,1,9,8]
[8,7,6,5,4,9,1,3,2]=>[9,3,1,5,6,7,8,4,2]
[8,7,6,5,9,2,1,4,3]=>[2,9,4,1,6,7,8,5,3]
[8,7,6,9,3,2,1,5,4]=>[2,3,9,5,1,7,8,6,4]
[8,7,9,4,3,2,1,6,5]=>[2,3,4,9,6,1,8,7,5]
[8,9,5,4,3,2,1,7,6]=>[2,3,4,5,9,7,1,8,6]
[9,6,5,4,3,2,1,8,7]=>[2,3,4,5,6,9,8,1,7]
[2,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,3]
[2,4,5,6,7,8,1,3,9]=>[8,2,1,4,5,6,7,3,9]
[3,4,5,6,7,1,8,2,9]=>[7,8,3,4,5,6,1,2,9]
[1,3,5,6,7,8,9,2,4]=>[1,9,3,2,5,6,7,8,4]
[1,4,5,6,7,8,2,9,3]=>[1,8,9,4,5,6,7,2,3]
[9,7,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,9,7,1]
[9,7,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,9,7,2]
[9,7,5,8,3,6,1,4,2]=>[6,4,8,1,7,3,9,5,2]
[7,9,5,8,3,6,1,4,2]=>[6,4,8,1,9,3,7,5,2]
[8,9,5,7,3,6,1,4,2]=>[6,4,7,1,9,3,5,8,2]
[8,9,6,7,3,5,1,4,2]=>[5,4,7,1,3,9,6,8,2]
[8,9,6,7,4,5,1,3,2]=>[5,3,1,7,4,9,6,8,2]
[8,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,8,1]
[9,7,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,9,7,2]
[9,7,5,3,8,6,1,4,2]=>[6,4,5,3,8,7,9,1,2]
[7,5,9,8,3,6,1,4,2]=>[6,4,8,1,7,3,5,9,2]
[9,8,5,7,3,6,1,4,2]=>[6,4,7,1,8,3,5,9,2]
[7,9,6,8,3,5,1,4,2]=>[5,4,8,1,3,9,7,6,2]
[8,9,5,7,4,6,1,3,2]=>[6,3,1,7,9,4,5,8,2]
[8,9,6,7,3,5,2,4,1]=>[4,5,7,2,3,9,6,8,1]
[6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]
[6,5,4,3,2,1,8,7,9]=>[2,3,4,5,6,1,8,7,9]
[5,4,3,2,1,9,8,7,6]=>[2,3,4,5,1,7,8,9,6]
[5,4,3,2,1,8,7,6,9]=>[2,3,4,5,1,7,8,6,9]
[5,4,3,2,1,7,6,9,8]=>[2,3,4,5,1,7,6,9,8]
[5,4,3,2,1,7,6,8,9]=>[2,3,4,5,1,7,6,8,9]
[4,3,2,1,8,7,6,5,9]=>[2,3,4,1,6,7,8,5,9]
[4,3,2,1,7,6,5,9,8]=>[2,3,4,1,6,7,5,9,8]
[4,3,2,1,7,6,5,8,9]=>[2,3,4,1,6,7,5,8,9]
[4,3,2,1,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9]
[4,3,2,1,6,5,7,8,9]=>[2,3,4,1,6,5,7,8,9]
[3,2,1,6,5,4,8,7,9]=>[2,3,1,5,6,4,8,7,9]
[3,2,1,6,5,4,7,8,9]=>[2,3,1,5,6,4,7,8,9]
[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]
[3,2,1,5,4,7,6,8,9]=>[2,3,1,5,4,7,6,8,9]
[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]
[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]
[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]
[3,1,4,2,6,5,8,7,9]=>[3,4,1,2,6,5,8,7,9]
[3,1,5,2,6,4,8,7,9]=>[3,5,1,6,2,4,8,7,9]
[3,1,5,2,7,4,8,6,9]=>[3,5,1,7,2,8,4,6,9]
[3,1,5,2,7,4,6,9,8]=>[3,5,1,7,2,4,6,9,8]
[3,1,5,2,4,7,6,9,8]=>[3,5,1,2,4,7,6,9,8]
[3,1,2,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]
[4,1,5,2,6,3,8,7,9]=>[4,5,6,1,2,3,8,7,9]
[3,1,6,2,7,4,8,5,9]=>[3,6,1,7,8,2,4,5,9]
[3,1,5,2,8,4,9,6,7]=>[3,5,1,8,2,9,6,4,7]
[3,1,5,2,7,4,6,8,9]=>[3,5,1,7,2,4,6,8,9]
[3,1,5,2,4,7,9,6,8]=>[3,5,1,2,4,9,7,6,8]
[3,1,2,5,7,4,6,9,8]=>[3,1,2,7,5,4,6,9,8]
[1,3,5,2,4,7,6,9,8]=>[1,5,3,2,4,7,6,9,8]
[4,5,6,7,8,9,1,2,3]=>[9,1,2,4,5,6,7,8,3]
[4,5,6,7,8,9,2,3,1]=>[3,9,2,4,5,6,7,8,1]
[5,6,7,8,9,1,2,3,4]=>[9,1,2,3,5,6,7,8,4]
[5,6,7,8,9,2,3,4,1]=>[4,9,2,3,5,6,7,8,1]
[5,6,7,8,9,3,4,1,2]=>[4,1,9,3,5,6,7,8,2]
[5,6,7,8,9,3,4,2,1]=>[2,4,9,3,5,6,7,8,1]
[6,7,8,9,2,3,4,5,1]=>[5,9,2,3,4,6,7,8,1]
[6,7,8,9,3,4,5,1,2]=>[5,1,9,3,4,6,7,8,2]
[6,7,8,9,3,4,5,2,1]=>[2,5,9,3,4,6,7,8,1]
[6,7,8,9,4,5,2,3,1]=>[3,5,2,9,4,6,7,8,1]
[6,7,8,9,4,5,3,2,1]=>[2,3,5,9,4,6,7,8,1]
[7,8,9,4,5,6,2,3,1]=>[3,6,2,9,4,5,7,8,1]
[7,8,9,4,5,6,3,2,1]=>[2,3,6,9,4,5,7,8,1]
[7,8,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,7,8,2]
[7,8,9,5,6,3,4,2,1]=>[2,4,6,3,9,5,7,8,1]
[7,8,9,5,6,4,3,2,1]=>[2,3,4,6,9,5,7,8,1]
[8,9,6,7,4,5,3,2,1]=>[2,3,5,7,4,9,6,8,1]
[8,9,6,7,5,4,3,2,1]=>[2,3,4,5,7,9,6,8,1]
[9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,3]
[9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,4]
[9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]
[9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,6]
[9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,7]
[9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,8]
[9,8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,9,2]
[9,8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,9,3]
[9,8,7,6,3,5,2,1,4]=>[2,5,6,1,3,7,8,9,4]
[9,8,7,4,6,3,2,1,5]=>[2,3,6,7,1,4,8,9,5]
[9,8,5,7,4,3,2,1,6]=>[2,3,4,7,8,1,5,9,6]
[9,6,8,5,4,3,2,1,7]=>[2,3,4,5,8,9,1,6,7]
[9,8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,9,4]
[9,8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,9,4]
[9,4,8,3,7,2,6,1,5]=>[6,7,8,9,1,2,3,4,5]
[9,8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,9,5]
[9,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,9,5]
[9,8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,9,5]
[5,9,4,8,3,7,1,2,6]=>[7,1,8,9,5,2,3,4,6]
[9,5,8,2,4,7,1,3,6]=>[7,8,1,2,9,3,4,5,6]
[9,5,8,4,7,1,2,3,6]=>[7,1,2,8,9,3,4,5,6]
[9,8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,9,6]
[9,8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,9,6]
[6,9,3,5,8,1,2,4,7]=>[8,1,9,2,3,6,4,5,7]
[6,9,5,8,1,2,3,4,7]=>[8,1,2,3,9,6,4,5,7]
[9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,7]
[9,4,6,8,1,2,3,5,7]=>[8,1,2,9,3,4,5,6,7]
[9,6,8,1,2,3,4,5,7]=>[8,1,2,3,4,9,5,6,7]
[3,5,7,9,1,2,4,6,8]=>[9,1,3,2,5,4,7,6,8]
[5,7,9,1,2,3,4,6,8]=>[9,1,2,3,5,4,7,6,8]
[7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,7,6,8]
[7,6,5,4,3,2,9,8,1]=>[8,3,4,5,6,7,2,9,1]
[9,6,5,4,3,2,8,1,7]=>[8,3,4,5,6,9,1,2,7]
[9,7,5,4,3,2,1,8,6]=>[2,3,4,5,7,9,8,6,1]
[7,6,5,4,3,9,2,8,1]=>[8,9,4,5,6,7,3,2,1]
[8,6,5,4,3,2,9,7,1]=>[7,3,4,5,6,9,8,1,2]
[9,1,2,3,5,4,6,7,8]=>[9,1,2,5,3,4,6,7,8]
[2,3,4,6,5,7,8,9,1]=>[9,2,3,4,6,5,7,8,1]
[9,1,2,3,5,6,4,7,8]=>[9,1,2,6,3,5,4,7,8]
[2,3,4,7,5,6,8,9,1]=>[9,2,3,4,7,5,6,8,1]
[2,3,4,6,7,5,8,9,1]=>[9,2,3,4,7,6,5,8,1]
[8,7,6,4,3,5,2,1,9]=>[2,5,4,6,3,7,8,1,9]
[8,7,6,3,5,4,2,1,9]=>[2,4,5,6,1,7,8,3,9]
[1,9,8,7,5,4,6,3,2]=>[1,3,6,5,7,4,8,9,2]
[1,9,8,7,4,6,5,3,2]=>[1,3,5,6,7,2,8,9,4]
[7,6,5,8,4,3,2,1,9]=>[2,3,4,8,6,7,5,1,9]
[7,6,5,4,9,3,2,1,8]=>[2,3,9,5,6,7,4,1,8]
[7,6,5,4,3,8,2,1,9]=>[2,8,4,5,6,7,3,1,9]
[7,6,5,4,3,2,8,1,9]=>[8,3,4,5,6,7,2,1,9]
[6,9,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,9,7]
[7,5,8,9,4,3,2,1,6]=>[2,3,4,9,7,1,5,8,6]
[7,6,4,8,9,3,2,1,5]=>[2,3,9,6,1,7,4,8,5]
[7,6,5,3,9,8,2,1,4]=>[2,8,5,1,6,7,3,9,4]
[7,6,5,4,2,8,9,1,3]=>[9,4,1,5,6,7,2,8,3]
[7,6,5,4,3,1,8,9,2]=>[3,4,5,6,7,9,1,8,2]
[6,5,8,7,4,3,2,1,9]=>[2,3,4,7,6,5,8,1,9]
[7,5,4,8,6,3,2,1,9]=>[2,3,6,5,8,7,1,4,9]
[5,9,8,7,4,3,2,1,6]=>[2,3,4,7,5,1,8,9,6]
[7,6,4,3,9,5,2,1,8]=>[2,5,4,9,6,7,1,3,8]
[7,4,8,9,6,3,2,1,5]=>[2,3,6,9,4,7,1,8,5]
[7,6,5,3,2,8,4,1,9]=>[4,3,8,5,6,7,1,2,9]
[7,6,3,8,9,5,2,1,4]=>[2,5,9,3,6,7,1,8,4]
[7,6,5,4,2,1,8,3,9]=>[2,4,5,6,7,8,3,1,9]
[7,6,5,2,9,8,4,1,3]=>[4,8,2,5,6,7,1,9,3]
[7,6,5,4,1,8,9,3,2]=>[4,3,5,6,7,9,2,8,1]
[2,3,4,5,6,8,9,7,1]=>[7,2,3,4,5,6,9,8,1]
[2,3,4,5,7,8,9,6,1]=>[6,2,3,4,5,9,7,8,1]
[2,3,5,6,7,8,9,4,1]=>[4,2,3,9,5,6,7,8,1]
[2,4,5,6,7,8,9,3,1]=>[3,2,9,4,5,6,7,8,1]
[2,3,4,5,8,1,9,7,6]=>[8,2,3,4,5,7,9,1,6]
[2,3,4,7,1,8,9,6,5]=>[7,2,3,4,6,9,1,8,5]
[2,3,6,1,7,8,9,4,5]=>[6,2,3,9,4,1,7,8,5]
[2,5,1,6,7,8,9,4,3]=>[5,2,4,9,1,6,7,8,3]
[4,1,5,6,7,8,9,3,2]=>[4,3,9,1,5,6,7,8,2]
[2,3,4,5,8,9,6,7,1]=>[7,2,3,4,5,9,6,8,1]
[2,3,4,7,8,5,9,6,1]=>[6,2,3,4,9,8,7,1,5]
[2,3,6,7,4,8,9,1,5]=>[9,2,3,7,1,6,4,8,5]
[2,3,4,8,1,5,9,7,6]=>[8,2,3,4,1,7,9,5,6]
[2,5,6,3,7,8,9,4,1]=>[4,2,9,6,5,1,7,8,3]
[2,3,7,1,4,8,9,6,5]=>[7,2,3,1,6,9,4,8,5]
[4,5,2,6,7,8,9,3,1]=>[3,9,5,4,1,6,7,8,2]
[2,6,1,3,7,8,9,4,5]=>[6,2,1,9,4,3,7,8,5]
[5,1,2,6,7,8,9,4,3]=>[5,1,4,9,2,6,7,8,3]
[8,1,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,2]
[9,2,8,7,6,5,4,1,3]=>[4,5,1,6,7,8,9,2,3]
[3,9,8,7,6,5,4,1,2]=>[4,1,3,5,6,7,8,9,2]
[8,9,1,7,6,5,4,3,2]=>[9,3,4,5,6,7,1,8,2]
[8,2,9,7,6,5,4,3,1]=>[3,4,5,6,7,9,8,1,2]
[8,1,2,3,4,5,9,6,7]=>[8,1,2,3,4,9,6,5,7]
[8,1,2,3,4,9,5,6,7]=>[8,1,2,3,9,5,6,4,7]
[8,1,2,9,3,4,5,6,7]=>[8,1,9,3,4,5,6,2,7]
[8,1,9,2,3,4,5,6,7]=>[8,9,2,3,4,5,6,1,7]
[6,1,2,3,4,5,8,9,7]=>[6,1,2,3,4,5,9,8,7]
[5,1,2,3,4,8,9,6,7]=>[5,1,2,3,4,9,6,8,7]
[4,1,2,3,8,9,5,6,7]=>[4,1,2,3,9,5,6,8,7]
[3,1,2,8,9,4,5,6,7]=>[3,1,2,9,4,5,6,8,7]
[2,1,8,9,3,4,5,6,7]=>[2,1,9,3,4,5,6,8,7]
[9,8,7,6,5,2,3,1,4]=>[3,5,2,1,6,7,8,9,4]
[9,8,7,6,3,4,2,1,5]=>[2,4,6,3,1,7,8,9,5]
[9,8,7,4,5,3,2,1,6]=>[2,3,5,7,4,1,8,9,6]
[9,8,5,6,4,3,2,1,7]=>[2,3,4,6,8,5,1,9,7]
[9,6,7,5,4,3,2,1,8]=>[2,3,4,5,7,9,6,1,8]
[8,2,1,7,6,5,4,3,9]=>[2,8,4,5,6,7,1,3,9]
[3,2,8,7,6,5,4,1,9]=>[4,3,2,5,6,7,8,1,9]
[8,3,1,7,6,5,4,9,2]=>[3,8,9,5,6,7,2,4,1]
[8,2,9,1,6,5,4,3,7]=>[9,8,4,5,6,1,3,2,7]
[4,2,8,7,6,5,9,1,3]=>[9,4,1,2,6,7,8,5,3]
[3,9,2,7,6,5,4,1,8]=>[4,5,3,6,7,9,1,2,8]
[8,4,1,7,6,5,9,3,2]=>[4,3,8,9,6,7,2,5,1]
[8,3,2,1,6,5,4,7,9]=>[2,3,8,5,6,1,4,7,9]
[8,2,9,7,1,5,4,3,6]=>[7,9,4,5,2,3,8,1,6]
[5,2,8,7,6,9,4,1,3]=>[4,9,2,5,1,7,8,6,3]
[4,3,2,7,6,5,8,1,9]=>[8,3,4,2,6,7,5,1,9]
[3,9,8,2,6,5,4,1,7]=>[4,5,3,6,8,2,1,9,7]
[7,8,2,3,4,5,6,9,1]=>[9,8,2,3,4,5,7,6,1]
[2,8,9,3,4,5,6,7,1]=>[7,2,9,3,4,5,6,8,1]
[7,1,8,3,4,5,6,9,2]=>[7,9,8,3,4,5,1,6,2]
[6,8,2,3,4,5,1,9,7]=>[5,8,2,3,4,6,9,1,7]
[2,8,1,9,4,5,6,7,3]=>[8,2,7,9,4,5,6,1,3]
[2,7,9,3,4,5,6,1,8]=>[6,2,9,3,4,5,7,1,8]
[7,1,2,8,4,5,6,9,3]=>[7,1,9,8,4,5,2,6,3]
[6,7,8,3,4,5,2,9,1]=>[9,5,8,3,4,6,7,2,1]
[5,8,2,3,4,1,6,9,7]=>[4,8,2,3,5,1,9,6,7]
[2,8,1,3,9,5,6,7,4]=>[8,2,1,7,9,5,6,3,4]
[2,7,8,9,4,5,6,3,1]=>[3,2,6,9,4,5,7,8,1]
[2,6,9,3,4,5,1,7,8]=>[5,2,9,3,4,6,1,7,8]
[8,7,6,5,4,2,1,3,9]=>[2,4,1,5,6,7,8,3,9]
[8,7,6,5,4,1,3,2,9]=>[4,3,1,5,6,7,8,2,9]
[1,9,8,7,6,5,3,2,4]=>[1,3,5,2,6,7,8,9,4]
[1,9,8,7,6,5,2,4,3]=>[1,5,4,2,6,7,8,9,3]
[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3]
[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3]
[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4]
[1,3,2,9,8,7,6,5,4]=>[1,3,2,5,6,7,8,9,4]
[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4]
[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5]
[1,4,3,2,9,8,7,6,5]=>[1,3,4,2,6,7,8,9,5]
[2,1,4,3,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,5]
[1,2,4,3,9,8,7,6,5]=>[1,2,4,3,6,7,8,9,5]
[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5]
[1,5,4,3,2,9,8,7,6]=>[1,3,4,5,2,7,8,9,6]
[2,1,5,4,3,9,8,7,6]=>[2,1,4,5,3,7,8,9,6]
[1,2,5,4,3,9,8,7,6]=>[1,2,4,5,3,7,8,9,6]
[1,3,2,5,4,9,8,7,6]=>[1,3,2,5,4,7,8,9,6]
[1,2,3,5,4,9,8,7,6]=>[1,2,3,5,4,7,8,9,6]
[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6]
[1,3,2,6,5,4,9,8,7]=>[1,3,2,5,6,4,8,9,7]
[1,2,3,6,5,4,9,8,7]=>[1,2,3,5,6,4,8,9,7]
[2,1,4,3,6,5,9,8,7]=>[2,1,4,3,6,5,8,9,7]
[1,2,4,3,6,5,9,8,7]=>[1,2,4,3,6,5,8,9,7]
[1,2,3,4,6,5,9,8,7]=>[1,2,3,4,6,5,8,9,7]
[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]
[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]
[9,8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,9,3]
[9,8,7,3,2,1,6,5,4]=>[2,3,7,5,6,1,8,9,4]
[9,8,7,6,3,1,5,2,4]=>[3,6,5,1,2,7,8,9,4]
[9,4,3,2,1,8,7,6,5]=>[2,3,4,9,6,7,8,1,5]
[9,8,4,3,1,7,6,2,5]=>[3,4,8,6,2,7,1,9,5]
[9,8,7,2,1,4,3,6,5]=>[2,7,4,1,6,3,8,9,5]
[9,8,7,4,1,6,2,3,5]=>[4,7,1,6,3,2,8,9,5]
[5,4,3,1,9,8,7,2,6]=>[3,4,5,7,1,2,8,9,6]
[9,5,2,1,8,4,3,7,6]=>[2,5,4,9,8,7,1,3,6]
[9,8,3,1,5,2,7,4,6]=>[3,8,5,7,2,4,1,9,6]
[6,3,1,9,5,2,8,4,7]=>[3,6,5,9,8,2,1,4,7]
[6,5,1,9,8,2,3,4,7]=>[5,6,1,3,8,2,4,9,7]
[9,2,1,4,3,6,5,8,7]=>[2,9,4,1,6,3,8,5,7]
[9,6,1,8,2,3,4,5,7]=>[6,9,1,3,4,8,5,2,7]
[5,1,7,2,9,3,4,6,8]=>[5,7,9,3,1,4,2,6,8]
[7,1,9,2,3,4,5,6,8]=>[7,9,2,3,4,5,1,6,8]
[9,1,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,1,2]
[7,1,9,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,9,2]
[6,1,9,8,7,5,4,3,2]=>[6,3,4,5,7,1,8,9,2]
[5,1,9,8,7,6,4,3,2]=>[5,3,4,6,1,7,8,9,2]
[4,1,9,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,9,2]
[3,1,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,2]
[9,8,1,7,6,5,4,3,2]=>[8,3,4,5,6,7,1,9,2]
[8,7,9,1,6,5,4,3,2]=>[9,3,4,5,6,1,8,7,2]
[7,6,9,8,1,5,4,3,2]=>[8,3,4,5,1,7,6,9,2]
[6,5,9,8,7,1,4,3,2]=>[7,3,4,1,6,5,8,9,2]
[5,4,9,8,7,6,1,3,2]=>[6,3,1,5,4,7,8,9,2]
[4,3,9,8,7,6,5,1,2]=>[5,1,4,3,6,7,8,9,2]
[3,2,9,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,9,1]
[9,1,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,8,6,7]
[9,1,2,3,4,5,7,8,6]=>[9,1,2,3,4,8,5,7,6]
[2,3,4,5,6,9,7,8,1]=>[8,2,3,4,5,6,9,7,1]
[9,2,1,8,7,6,5,4,3]=>[2,9,4,5,6,7,8,1,3]
[3,9,2,8,7,6,5,4,1]=>[4,5,3,6,7,8,9,2,1]
[4,2,9,8,7,6,5,3,1]=>[3,5,4,1,6,7,8,9,2]
[9,2,8,1,7,6,5,4,3]=>[8,9,4,5,6,7,1,2,3]
[9,3,1,8,7,6,5,4,2]=>[3,9,4,5,6,7,8,2,1]
[2,3,5,6,4,7,8,9,1]=>[9,2,3,6,5,4,7,8,1]
[2,3,6,4,5,7,8,9,1]=>[9,2,3,6,4,5,7,8,1]
[9,1,2,4,5,3,6,7,8]=>[9,1,5,2,4,3,6,7,8]
[7,9,6,8,5,4,3,2,1]=>[2,3,4,5,8,9,7,6,1]
[6,9,8,5,7,4,3,2,1]=>[2,3,4,7,8,6,5,9,1]
[5,9,8,7,4,6,3,2,1]=>[2,3,6,7,5,4,8,9,1]
[4,9,8,7,6,3,5,2,1]=>[2,5,6,4,3,7,8,9,1]
[3,9,8,7,6,5,2,4,1]=>[4,5,3,2,6,7,8,9,1]
[8,6,9,7,4,5,2,3,1]=>[3,5,2,7,4,9,8,1,6]
[8,6,9,4,7,5,2,3,1]=>[3,5,2,7,9,8,1,6,4]
[8,6,9,4,7,2,5,3,1]=>[3,5,7,9,1,8,4,6,2]
[8,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,8,4,6,2]
[8,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,8,5,6,2]
[8,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,8,7,2]
[8,6,4,9,7,5,2,3,1]=>[3,5,2,7,6,9,8,4,1]
[8,6,9,4,2,7,5,3,1]=>[3,5,4,7,9,8,2,6,1]
[8,6,9,4,7,2,1,5,3]=>[2,7,5,9,1,8,4,6,3]
[8,6,9,4,7,3,5,2,1]=>[2,5,7,9,3,8,4,6,1]
[8,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,8,5,6,3]
[8,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,8,7,2]
[9,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,9,5,6,2]
[1,3,4,5,6,7,9,2,8]=>[1,9,3,4,5,6,7,2,8]
[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]
[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]
[3,1,4,5,6,7,8,2,9]=>[3,8,1,4,5,6,7,2,9]
[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,7,6,8]
[1,2,3,4,6,9,5,7,8]=>[1,2,3,4,9,6,5,7,8]
[1,2,3,5,9,4,6,7,8]=>[1,2,3,9,5,4,6,7,8]
[1,2,4,9,3,5,6,7,8]=>[1,2,9,4,3,5,6,7,8]
[1,3,9,2,4,5,6,7,8]=>[1,9,3,2,4,5,6,7,8]
[1,9,8,7,6,2,5,4,3]=>[1,6,4,5,2,7,8,9,3]
[2,9,8,7,1,6,5,4,3]=>[7,2,4,5,6,1,8,9,3]
[1,9,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,9,3]
[1,9,2,8,7,6,5,4,3]=>[1,9,4,5,6,7,8,2,3]
[3,9,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,9,4]
[4,9,8,7,6,1,2,5,3]=>[6,1,5,4,2,7,8,9,3]
[5,9,8,7,1,2,6,4,3]=>[7,1,4,6,5,2,8,9,3]
[6,9,8,2,1,7,5,4,3]=>[2,8,4,5,7,6,1,9,3]
[7,9,1,2,8,6,5,4,3]=>[9,1,4,5,6,8,7,2,3]
[8,1,2,9,7,6,5,4,3]=>[8,1,4,5,6,7,9,2,3]
[1,9,8,7,6,3,2,5,4]=>[1,3,6,5,2,7,8,9,4]
[1,9,8,7,4,2,6,5,3]=>[1,4,7,5,6,3,8,9,2]
[4,9,8,7,6,3,2,1,5]=>[2,3,6,4,1,7,8,9,5]
[2,9,8,5,1,7,6,4,3]=>[5,2,4,8,6,7,3,9,1]
[5,9,8,7,4,1,2,6,3]=>[4,1,7,6,5,3,8,9,2]
[1,9,6,2,8,7,5,4,3]=>[1,6,4,5,9,7,8,3,2]
[6,9,8,5,1,2,7,4,3]=>[5,1,4,8,7,6,3,9,2]
[1,7,2,9,8,6,5,4,3]=>[1,7,4,5,6,8,2,9,3]
[7,9,6,2,1,8,5,4,3]=>[2,6,4,5,9,8,7,3,1]
[8,7,1,2,9,6,5,4,3]=>[7,1,4,5,6,8,9,3,2]
[1,6,7,8,9,2,3,4,5]=>[1,9,2,3,4,6,7,8,5]
[6,7,8,1,2,3,4,5,9]=>[8,1,2,3,4,6,7,5,9]
[1,7,8,9,2,3,4,5,6]=>[1,9,2,3,4,5,7,8,6]
[5,6,7,1,8,2,3,4,9]=>[7,8,2,3,5,6,1,4,9]
[4,6,7,8,1,2,3,5,9]=>[8,1,2,4,3,6,7,5,9]
[1,6,7,8,2,9,3,4,5]=>[1,8,9,3,4,6,7,2,5]
[1,5,7,8,9,2,3,4,6]=>[1,9,2,3,5,4,7,8,6]
[9,2,3,4,5,6,7,8,1]=>[8,9,2,3,4,5,6,7,1]
[8,2,3,4,5,6,7,1,9]=>[7,8,2,3,4,5,6,1,9]
[7,2,3,4,5,6,1,8,9]=>[6,7,2,3,4,5,1,8,9]
[6,2,3,4,5,1,7,8,9]=>[5,6,2,3,4,1,7,8,9]
[5,2,3,4,1,6,7,8,9]=>[4,5,2,3,1,6,7,8,9]
[4,2,3,1,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]
[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]
[1,2,4,6,5,3,7,8,9]=>[1,2,5,4,6,3,7,8,9]
[1,2,4,6,8,7,5,3,9]=>[1,2,5,4,7,6,8,3,9]
[1,2,4,6,8,9,7,5,3]=>[1,2,5,4,7,6,9,8,3]
[1,2,4,6,7,5,3,8,9]=>[1,2,5,4,7,6,3,8,9]
[1,2,4,5,3,6,7,8,9]=>[1,2,5,4,3,6,7,8,9]
[1,2,4,3,6,5,7,8,9]=>[1,2,4,3,6,5,7,8,9]
[1,2,4,6,3,5,8,7,9]=>[1,2,6,4,3,5,8,7,9]
[1,2,4,6,8,5,3,7,9]=>[1,2,5,4,8,6,3,7,9]
[1,2,4,5,3,6,8,9,7]=>[1,2,5,4,3,6,9,8,7]
[1,2,3,4,6,7,5,8,9]=>[1,2,3,4,7,6,5,8,9]
[2,4,1,3,6,8,5,7,9]=>[4,2,1,3,8,6,5,7,9]
[2,4,1,3,6,9,5,7,8]=>[4,2,1,3,9,6,5,7,8]
[2,4,1,3,6,8,9,5,7]=>[4,2,1,3,9,6,5,8,7]
[2,4,1,3,8,9,5,6,7]=>[4,2,1,3,9,5,6,8,7]
[4,5,1,2,6,9,3,7,8]=>[5,1,9,4,2,6,3,7,8]
[8,2,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7,9]
[3,2,4,5,6,7,8,1,9]=>[8,3,2,4,5,6,7,1,9]
[8,3,1,2,4,5,6,7,9]=>[3,1,8,2,4,5,6,7,9]
[8,2,3,1,4,5,6,7,9]=>[3,8,2,1,4,5,6,7,9]
[4,2,3,5,6,7,8,1,9]=>[8,4,2,3,5,6,7,1,9]
[3,4,2,5,6,7,8,1,9]=>[8,4,3,2,5,6,7,1,9]
[8,4,1,2,3,5,6,7,9]=>[4,1,2,8,3,5,6,7,9]
[8,3,2,1,4,5,6,7,9]=>[2,3,8,1,4,5,6,7,9]
[8,2,3,4,1,5,6,7,9]=>[4,8,2,3,1,5,6,7,9]
[5,2,3,4,6,7,8,1,9]=>[8,5,2,3,4,6,7,1,9]
[4,3,2,5,6,7,8,1,9]=>[8,3,4,2,5,6,7,1,9]
[3,4,5,2,6,7,8,1,9]=>[8,5,3,4,2,6,7,1,9]
[1,9,3,4,5,6,7,8,2]=>[1,8,9,3,4,5,6,7,2]
[8,7,3,4,5,6,2,1,9]=>[2,6,7,3,4,5,8,1,9]
[1,9,8,4,5,6,7,3,2]=>[1,3,7,8,4,5,6,9,2]
[8,2,7,4,5,6,3,1,9]=>[3,6,8,7,4,5,1,2,9]
[7,8,3,4,5,6,1,2,9]=>[6,1,8,3,4,5,7,2,9]
[1,9,3,8,5,6,7,4,2]=>[1,4,7,9,8,5,6,2,3]
[1,8,9,4,5,6,7,2,3]=>[1,7,2,9,4,5,6,8,3]
[1,7,2,3,4,5,6,9,8]=>[1,7,2,3,4,5,6,9,8]
[6,1,2,3,4,5,7,9,8]=>[6,1,2,3,4,5,7,9,8]
[6,9,1,2,3,4,5,7,8]=>[9,1,2,3,4,6,5,7,8]
[1,3,4,5,6,7,9,8,2]=>[1,8,3,4,5,6,7,9,2]
[7,3,4,5,6,8,1,2,9]=>[8,1,7,3,4,5,6,2,9]
[2,3,4,5,7,6,8,1,9]=>[8,2,3,4,5,7,6,1,9]
[1,8,4,5,6,7,9,2,3]=>[1,9,2,8,4,5,6,7,3]
[1,3,4,5,6,8,7,9,2]=>[1,9,3,4,5,6,8,7,2]
[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,8,9,7,6]
[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,8,9,6,7,5]
[1,2,3,9,5,6,7,8,4]=>[1,2,3,8,9,5,6,7,4]
[1,2,9,4,5,6,7,8,3]=>[1,2,8,9,4,5,6,7,3]
[1,2,3,4,9,7,6,8,5]=>[1,2,3,4,8,7,9,6,5]
[1,2,3,9,6,5,7,8,4]=>[1,2,3,8,6,9,5,7,4]
[1,2,9,5,4,6,7,8,3]=>[1,2,8,5,9,4,6,7,3]
[1,9,4,3,5,6,7,8,2]=>[1,8,4,9,3,5,6,7,2]
[9,3,2,4,5,6,7,8,1]=>[8,3,9,2,4,5,6,7,1]
[6,8,9,7,5,4,3,2,1]=>[2,3,4,5,7,6,9,8,1]
[5,7,8,9,6,4,3,2,1]=>[2,3,4,6,5,9,7,8,1]
[4,6,7,8,9,5,3,2,1]=>[2,3,5,4,9,6,7,8,1]
[3,5,6,7,8,9,4,2,1]=>[2,4,3,9,5,6,7,8,1]
[1,2,3,5,7,4,6,9,8]=>[1,2,3,7,5,4,6,9,8]
[1,2,3,6,4,7,5,9,8]=>[1,2,3,6,7,4,5,9,8]
[1,2,3,4,6,8,5,7,9]=>[1,2,3,4,8,6,5,7,9]
[1,2,3,4,7,5,8,6,9]=>[1,2,3,4,7,8,5,6,9]
[1,2,5,7,3,4,6,9,8]=>[1,2,7,3,5,4,6,9,8]
[1,2,4,5,7,3,6,9,8]=>[1,2,7,4,5,3,6,9,8]
[1,2,6,3,4,7,5,9,8]=>[1,2,6,3,7,4,5,9,8]
[1,2,5,6,3,7,4,9,8]=>[1,2,6,7,5,3,4,9,8]
[2,7,1,3,4,5,6,8,9]=>[7,2,1,3,4,5,6,8,9]
[2,6,1,3,4,5,7,8,9]=>[6,2,1,3,4,5,7,8,9]
[2,5,1,3,4,6,7,8,9]=>[5,2,1,3,4,6,7,8,9]
[2,3,1,9,4,5,6,7,8]=>[3,2,1,9,4,5,6,7,8]
[2,7,1,3,4,8,5,6,9]=>[7,2,1,3,8,5,4,6,9]
[2,6,1,3,4,7,8,5,9]=>[6,2,1,3,8,4,7,5,9]
[4,5,1,2,3,6,7,8,9]=>[5,1,2,4,3,6,7,8,9]
[4,9,1,2,3,5,6,7,8]=>[9,1,2,4,3,5,6,7,8]
[3,9,1,2,4,5,6,7,8]=>[9,1,3,2,4,5,6,7,8]
[6,8,1,9,2,3,4,5,7]=>[8,9,2,3,4,6,5,1,7]
[4,8,1,2,3,9,5,6,7]=>[8,1,2,4,9,5,6,3,7]
[3,8,1,2,4,5,9,6,7]=>[8,1,3,2,4,9,6,5,7]
[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]
[9,8,7,5,6,4,3,2,1]=>[2,3,4,6,7,5,8,9,1]
[2,1,9,8,6,7,5,4,3]=>[2,1,4,5,7,8,6,9,3]
[9,8,7,5,4,6,3,2,1]=>[2,3,6,5,7,4,8,9,1]
[9,8,7,4,6,5,3,2,1]=>[2,3,5,6,7,1,8,9,4]
[2,1,9,8,6,5,7,4,3]=>[2,1,4,7,6,8,5,9,3]
[2,1,9,8,5,7,6,4,3]=>[2,1,4,6,7,8,3,9,5]
[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9]
[2,1,8,7,6,5,4,3,9]=>[2,1,4,5,6,7,8,3,9]
[2,8,9,7,6,5,4,3,1]=>[3,2,4,5,6,7,9,8,1]
[4,5,6,7,8,1,2,9,3]=>[8,1,9,4,5,6,7,2,3]
[4,5,6,7,1,2,8,9,3]=>[7,1,9,4,5,6,2,8,3]
[4,5,6,1,2,7,8,9,3]=>[6,1,9,4,5,2,7,8,3]
[4,5,1,2,6,7,8,9,3]=>[5,1,9,4,2,6,7,8,3]
[7,8,1,2,3,4,5,9,6]=>[8,1,2,3,4,9,7,5,6]
[2,8,9,1,3,4,5,6,7]=>[9,2,1,3,4,5,6,8,7]
[7,1,8,2,9,3,4,5,6]=>[7,8,9,3,4,5,1,2,6]
[6,1,7,2,8,3,9,4,5]=>[6,7,8,9,4,1,2,3,5]
[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9]
[7,1,8,2,3,9,4,5,6]=>[7,8,2,9,4,5,1,3,6]
[6,1,7,2,8,3,4,9,5]=>[6,7,8,3,9,1,2,4,5]
[5,1,6,2,7,3,9,4,8]=>[5,6,7,9,1,2,3,4,8]
[4,1,5,2,7,3,8,6,9]=>[4,5,7,1,2,8,3,6,9]
[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,8,7]
[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]
[2,3,1,4,5,6,8,9,7]=>[3,2,1,4,5,6,9,8,7]
[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7]
[2,3,1,4,5,6,7,9,8]=>[3,2,1,4,5,6,7,9,8]
[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]
[6,7,1,2,3,4,8,9,5]=>[7,1,2,3,9,6,4,8,5]
[7,8,6,5,4,3,2,9,1]=>[9,3,4,5,6,8,7,2,1]
[9,7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,9,2,8]
[2,4,3,5,6,7,8,9,1]=>[9,2,4,3,5,6,7,8,1]
[4,5,6,7,8,9,2,1,3]=>[2,9,1,4,5,6,7,8,3]
[5,6,7,8,9,2,1,3,4]=>[2,9,1,3,5,6,7,8,4]
[6,7,8,9,2,1,3,4,5]=>[2,9,1,3,4,6,7,8,5]
[7,8,9,2,1,3,4,5,6]=>[2,9,1,3,4,5,7,8,6]
[8,9,2,1,3,4,5,6,7]=>[2,9,1,3,4,5,6,8,7]
[8,6,4,3,2,1,9,7,5]=>[2,3,4,6,8,7,9,5,1]
[7,5,4,3,2,1,8,6,9]=>[2,3,4,5,7,8,1,6,9]
[8,6,4,2,1,9,7,5,3]=>[2,4,6,5,8,7,9,1,3]
[7,5,3,2,1,8,6,4,9]=>[2,3,5,7,6,8,4,1,9]
[7,4,3,2,1,8,5,9,6]=>[2,3,4,7,8,9,1,5,6]
[6,4,3,2,1,7,5,8,9]=>[2,3,4,6,7,1,5,8,9]
[7,5,3,1,8,6,4,2,9]=>[3,5,4,7,6,8,1,2,9]
[7,4,2,1,8,5,3,9,6]=>[2,4,7,5,8,9,3,1,6]
[6,4,2,1,7,5,3,8,9]=>[2,4,6,5,7,3,1,8,9]
[6,3,2,1,7,4,8,5,9]=>[2,3,6,7,8,1,4,5,9]
[5,3,2,1,6,4,7,8,9]=>[2,3,5,6,1,4,7,8,9]
[7,4,1,8,5,2,9,6,3]=>[4,7,5,8,6,9,2,1,3]
[6,3,1,7,4,2,8,5,9]=>[3,6,4,7,8,2,1,5,9]
[5,3,1,6,4,2,7,8,9]=>[3,5,4,6,2,1,7,8,9]
[6,2,1,7,3,8,4,9,5]=>[2,6,7,8,9,1,3,4,5]
[5,2,1,6,3,7,4,8,9]=>[2,5,6,7,1,3,4,8,9]
[4,2,1,5,3,6,7,8,9]=>[2,4,5,1,3,6,7,8,9]
[4,1,5,2,6,3,7,8,9]=>[4,5,6,1,2,3,7,8,9]
[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]
[1,7,2,3,4,5,6,8,9]=>[1,7,2,3,4,5,6,8,9]
[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]
[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]
[9,2,3,4,5,6,7,1,8]=>[7,9,2,3,4,5,6,1,8]
[8,9,5,6,7,4,3,2,1]=>[2,3,4,7,9,5,6,8,1]
[8,9,6,7,3,4,5,2,1]=>[2,5,7,3,4,9,6,8,1]
[8,2,3,4,5,6,9,1,7]=>[9,8,2,3,4,5,1,6,7]
[8,2,3,4,5,9,7,1,6]=>[7,9,1,3,4,2,8,5,6]
[8,2,3,4,9,6,7,1,5]=>[7,8,2,3,1,9,6,4,5]
[8,2,3,9,5,6,7,1,4]=>[7,8,2,1,9,5,6,3,4]
[8,2,9,4,5,6,7,1,3]=>[7,8,1,9,4,5,6,2,3]
[8,9,3,4,5,6,7,1,2]=>[7,1,9,3,4,5,6,8,2]
[9,8,3,4,5,6,7,2,1]=>[2,7,8,3,4,5,6,9,1]
[6,2,3,4,5,1,9,8,7]=>[5,6,2,3,4,1,8,9,7]
[5,2,3,4,1,9,8,7,6]=>[4,5,2,3,1,7,8,9,6]
[4,2,3,1,9,8,7,6,5]=>[3,4,2,1,6,7,8,9,5]
[3,2,1,9,8,6,7,5,4]=>[2,3,1,5,7,8,6,9,4]
[2,1,9,8,5,6,7,4,3]=>[2,1,4,7,8,5,6,9,3]
[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]
[1,4,2,5,3,6,7,8,9]=>[1,4,5,2,3,6,7,8,9]
[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]
[1,5,2,6,3,7,4,8,9]=>[1,5,6,7,2,3,4,8,9]
[1,5,2,3,6,4,7,8,9]=>[1,5,2,6,3,4,7,8,9]
[1,5,2,6,3,4,7,8,9]=>[1,5,6,3,2,4,7,8,9]
[1,5,2,3,4,6,7,8,9]=>[1,5,2,3,4,6,7,8,9]
[1,5,2,4,3,6,7,8,9]=>[1,5,4,2,3,6,7,8,9]
[1,6,2,3,7,4,8,5,9]=>[1,6,2,7,8,3,4,5,9]
[1,6,2,7,3,4,5,8,9]=>[1,6,7,3,4,2,5,8,9]
[1,6,2,3,4,7,5,8,9]=>[1,6,2,3,7,4,5,8,9]
[1,6,2,4,3,7,5,8,9]=>[1,6,4,2,7,3,5,8,9]
[1,6,2,4,3,5,7,8,9]=>[1,6,4,2,3,5,7,8,9]
[1,6,2,5,3,4,7,8,9]=>[1,6,5,3,2,4,7,8,9]
[1,7,2,8,3,9,4,5,6]=>[1,7,8,9,4,5,2,3,6]
[1,7,2,4,3,8,5,6,9]=>[1,7,4,2,8,5,3,6,9]
[1,7,2,4,3,5,8,6,9]=>[1,7,4,2,3,8,5,6,9]
[1,7,2,8,3,5,4,6,9]=>[1,7,8,5,3,4,2,6,9]
[1,7,2,5,3,4,8,6,9]=>[1,7,5,3,2,8,4,6,9]
[1,7,2,5,3,4,6,8,9]=>[1,7,5,3,2,4,6,8,9]
[1,7,2,6,3,5,4,8,9]=>[1,7,6,5,3,2,4,8,9]
[1,8,2,6,3,9,4,5,7]=>[1,8,6,9,4,2,5,3,7]
[1,8,2,6,3,4,5,9,7]=>[1,8,6,3,4,2,9,5,7]
[1,8,2,6,3,5,4,7,9]=>[1,8,6,5,3,2,4,7,9]
[1,8,2,7,3,6,4,5,9]=>[1,8,7,6,4,3,2,5,9]
[1,9,2,8,3,7,4,6,5]=>[1,9,8,7,6,4,3,2,5]
[8,2,3,4,5,6,7,9,1]=>[9,8,2,3,4,5,6,7,1]
[7,2,3,4,5,6,9,8,1]=>[8,7,2,3,4,5,6,9,1]
[6,2,3,4,5,9,7,8,1]=>[8,6,2,3,4,5,9,7,1]
[5,2,3,4,9,6,7,8,1]=>[8,5,2,3,4,9,6,7,1]
[4,2,3,9,5,6,7,8,1]=>[8,4,2,3,9,5,6,7,1]
[3,2,9,4,5,6,7,8,1]=>[8,3,2,9,4,5,6,7,1]
[2,9,3,4,5,6,7,8,1]=>[8,2,9,3,4,5,6,7,1]
[6,2,3,4,5,1,8,9,7]=>[5,6,2,3,4,1,9,8,7]
[5,2,3,4,1,7,9,8,6]=>[4,5,2,3,1,8,7,9,6]
[4,2,3,1,6,9,7,8,5]=>[3,4,2,1,8,6,9,7,5]
[3,2,1,5,9,6,7,8,4]=>[2,3,1,8,5,9,6,7,4]
[2,1,4,9,5,6,7,8,3]=>[2,1,8,4,9,5,6,7,3]
[1,3,9,4,5,6,7,8,2]=>[1,8,3,9,4,5,6,7,2]
[2,3,5,6,4,7,8,1,9]=>[8,2,3,6,5,4,7,1,9]
[1,3,4,6,7,5,8,9,2]=>[1,9,3,4,7,6,5,8,2]
[2,3,6,5,7,4,8,1,9]=>[8,2,3,7,6,5,4,1,9]
[2,3,5,6,7,1,8,4,9]=>[7,2,3,8,5,6,1,4,9]
[1,3,4,7,6,8,5,9,2]=>[1,9,3,4,8,7,6,5,2]
[1,3,4,6,7,8,2,9,5]=>[1,8,3,4,9,6,7,2,5]
[2,3,4,5,6,1,8,7,9]=>[6,2,3,4,5,1,8,7,9]
[2,3,4,5,1,7,6,8,9]=>[5,2,3,4,1,7,6,8,9]
[2,3,4,1,6,5,7,8,9]=>[4,2,3,1,6,5,7,8,9]
[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]
[1,8,6,4,2,9,7,5,3]=>[1,4,6,5,8,7,9,2,3]
[8,6,4,2,1,7,5,3,9]=>[2,4,6,5,8,7,1,3,9]
[8,7,5,3,1,6,4,2,9]=>[3,5,4,7,6,1,8,2,9]
[1,9,7,5,3,2,8,6,4]=>[1,3,5,7,6,9,8,2,4]
[1,9,8,6,4,2,7,5,3]=>[1,4,6,5,8,7,2,9,3]
[1,9,2,3,4,5,8,6,7]=>[1,9,2,3,4,8,6,5,7]
[4,2,1,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]
[2,4,7,1,3,5,6,8,9]=>[7,2,1,4,3,5,6,8,9]
[6,3,5,1,2,4,7,8,9]=>[5,1,6,2,3,4,7,8,9]
[5,3,2,1,4,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]
[2,4,6,9,1,3,5,7,8]=>[9,2,1,4,3,6,5,7,8]
[4,3,6,8,1,2,5,7,9]=>[8,1,4,3,2,6,5,7,9]
[3,7,2,5,1,4,6,8,9]=>[5,7,3,1,2,4,6,8,9]
[7,4,2,6,1,3,5,8,9]=>[6,4,1,7,3,2,5,8,9]
[6,4,3,2,1,5,7,8,9]=>[2,3,4,6,1,5,7,8,9]
[4,3,7,8,9,1,2,5,6]=>[9,1,4,3,2,5,7,8,6]
[5,9,2,6,8,1,3,4,7]=>[8,9,1,3,5,2,4,6,7]
[5,4,2,7,9,1,3,6,8]=>[9,4,1,5,2,3,7,6,8]
[8,5,7,3,4,1,2,6,9]=>[4,1,7,3,8,2,5,6,9]
[8,5,3,2,7,1,4,6,9]=>[7,3,5,1,8,4,2,6,9]
[7,5,4,3,2,1,6,8,9]=>[2,3,4,5,7,1,6,8,9]
[9,6,8,3,5,7,1,2,4]=>[7,1,8,2,3,9,5,6,4]
[6,5,3,2,8,9,1,4,7]=>[9,3,5,1,6,2,4,8,7]
[4,9,3,7,2,6,1,5,8]=>[6,7,9,4,1,2,3,5,8]
[9,6,4,8,2,5,1,3,7]=>[5,8,1,6,2,9,3,4,7]
[9,6,4,3,2,8,1,5,7]=>[8,3,4,6,1,9,5,2,7]
[8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,7,9]
[9,7,5,3,8,2,6,1,4]=>[6,8,5,1,7,2,9,3,4]
[9,7,5,4,3,2,8,1,6]=>[8,3,4,5,7,1,9,2,6]
[9,4,3,2,5,6,7,8,1]=>[8,3,4,9,2,5,6,7,1]
[8,1,2,3,4,5,7,6,9]=>[8,1,2,3,4,7,5,6,9]
[1,9,2,3,4,5,6,8,7]=>[1,9,2,3,4,5,8,6,7]
[8,1,2,3,4,7,6,5,9]=>[8,1,2,3,6,7,4,5,9]
[8,1,2,3,4,6,5,7,9]=>[8,1,2,3,6,4,5,7,9]
[1,9,2,3,4,5,8,7,6]=>[1,9,2,3,4,7,8,5,6]
[1,9,2,3,4,5,7,6,8]=>[1,9,2,3,4,7,5,6,8]
[1,3,4,5,6,7,8,2,9]=>[1,8,3,4,5,6,7,2,9]
[2,1,4,5,6,7,9,3,8]=>[2,1,9,4,5,6,7,3,8]
[2,1,4,5,6,7,8,3,9]=>[2,1,8,4,5,6,7,3,9]
[1,6,9,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,9,2]
[1,4,9,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,9,2]
[1,3,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,2]
[8,7,1,9,6,5,4,3,2]=>[7,3,4,5,6,8,9,2,1]
[6,7,9,1,8,5,4,3,2]=>[9,3,4,5,8,6,7,1,2]
[5,6,9,8,1,7,4,3,2]=>[8,3,4,7,5,6,1,9,2]
[5,4,9,8,7,1,6,3,2]=>[7,3,6,5,4,1,8,9,2]
[3,4,9,8,7,6,1,5,2]=>[6,5,3,4,1,7,8,9,2]
[2,3,9,8,7,6,5,1,4]=>[5,2,3,1,6,7,8,9,4]
[1,7,6,9,8,5,4,3,2]=>[1,3,4,5,8,7,6,9,2]
[1,6,9,5,8,7,4,3,2]=>[1,3,4,7,8,6,9,2,5]
[8,7,6,1,9,5,4,3,2]=>[6,3,4,5,7,8,9,1,2]
[5,1,9,8,4,7,6,3,2]=>[5,3,6,7,1,8,2,9,4]
[6,7,9,5,1,8,4,3,2]=>[5,3,4,9,8,6,7,2,1]
[1,4,9,8,7,3,6,5,2]=>[1,5,6,4,7,2,8,9,3]
[5,6,9,8,4,1,7,3,2]=>[4,3,8,7,5,6,2,9,1]
[1,3,9,8,7,6,2,5,4]=>[1,6,3,5,2,7,8,9,4]
[5,4,9,8,7,3,1,6,2]=>[3,7,6,5,4,2,8,9,1]
[3,4,9,8,7,6,2,1,5]=>[2,6,3,4,1,7,8,9,5]
[9,3,4,2,5,6,7,8,1]=>[8,4,9,3,2,5,6,7,1]
[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,8,7,9,6]
[1,2,3,4,6,7,9,8,5]=>[1,2,3,4,8,6,7,9,5]
[1,2,3,4,6,8,9,7,5]=>[1,2,3,4,7,6,9,8,5]
[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,7,6,8,9,5]
[1,2,3,5,6,7,9,8,4]=>[1,2,3,8,5,6,7,9,4]
[1,2,3,5,6,8,9,7,4]=>[1,2,3,7,5,6,9,8,4]
[1,2,3,5,6,9,8,7,4]=>[1,2,3,7,5,6,8,9,4]
[1,2,3,5,7,9,8,6,4]=>[1,2,3,6,5,8,7,9,4]
[1,2,3,5,9,8,7,6,4]=>[1,2,3,6,5,7,8,9,4]
[1,2,4,5,7,8,9,6,3]=>[1,2,6,4,5,9,7,8,3]
[1,2,4,5,7,9,8,6,3]=>[1,2,6,4,5,8,7,9,3]
[1,2,4,5,9,8,7,6,3]=>[1,2,6,4,5,7,8,9,3]
[1,2,4,6,9,8,7,5,3]=>[1,2,5,4,7,6,8,9,3]
[1,2,4,9,8,7,6,5,3]=>[1,2,5,4,6,7,8,9,3]
[1,3,5,7,9,8,6,4,2]=>[1,4,3,6,5,8,7,9,2]
[1,3,5,9,8,7,6,4,2]=>[1,4,3,6,5,7,8,9,2]
[6,5,1,2,3,7,8,9,4]=>[5,1,2,6,9,4,7,8,3]
[4,1,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]
[6,1,2,4,5,3,7,8,9]=>[6,1,5,2,4,3,7,8,9]
[5,4,1,2,3,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]
[8,1,2,3,5,6,7,4,9]=>[8,1,2,7,3,5,6,4,9]
[7,5,1,2,4,6,3,8,9]=>[5,1,7,3,6,4,2,8,9]
[4,1,6,3,5,2,7,8,9]=>[4,5,6,1,3,2,7,8,9]
[9,6,1,2,3,4,7,8,5]=>[6,1,2,3,9,8,5,7,4]
[8,1,7,3,2,6,4,5,9]=>[8,3,7,6,4,2,1,5,9]
[8,3,6,1,2,5,7,4,9]=>[6,1,8,7,2,3,5,4,9]
[5,7,1,6,2,4,3,8,9]=>[7,6,4,2,5,1,3,8,9]
[7,3,4,6,1,2,5,8,9]=>[6,1,7,3,2,4,5,8,9]
[6,1,2,9,4,5,7,8,3]=>[6,1,8,9,4,2,5,7,3]
[9,8,1,7,3,2,4,6,5]=>[8,3,7,2,6,4,1,9,5]
[9,3,4,7,1,2,6,8,5]=>[7,1,9,3,8,2,4,6,5]
[4,1,6,3,8,5,7,2,9]=>[4,7,6,1,8,3,5,2,9]
[6,8,5,1,7,2,3,4,9]=>[5,8,1,3,7,6,2,4,9]
[8,3,4,5,7,1,2,6,9]=>[7,1,8,3,4,2,5,6,9]
[5,7,1,9,2,8,4,6,3]=>[7,9,6,8,5,4,1,2,3]
[7,9,4,6,1,8,2,3,5]=>[6,8,2,9,3,4,7,1,5]
[3,4,1,6,2,5,8,7,9]=>[4,6,3,1,2,5,8,7,9]
[3,4,1,2,6,5,8,7,9]=>[4,1,3,2,6,5,8,7,9]
[3,5,1,6,2,4,8,7,9]=>[5,6,3,2,1,4,8,7,9]
[2,5,1,6,3,4,8,7,9]=>[5,2,6,3,1,4,8,7,9]
[3,5,1,2,6,4,8,7,9]=>[5,1,3,6,2,4,8,7,9]
[2,5,1,3,6,4,8,7,9]=>[5,2,1,6,3,4,8,7,9]
[8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,7,9]
[8,6,2,1,4,3,5,7,9]=>[2,6,4,1,3,8,5,7,9]
[8,4,2,1,6,3,5,7,9]=>[2,4,8,6,1,3,5,7,9]
[6,4,2,1,8,3,5,7,9]=>[2,4,6,8,1,3,5,7,9]
[8,6,4,2,9,1,3,5,7]=>[9,4,1,6,3,8,5,2,7]
[9,6,4,2,7,1,3,5,8]=>[7,4,1,6,3,9,2,5,8]
[9,7,4,2,5,1,3,6,8]=>[5,4,1,7,2,3,9,6,8]
[9,7,5,2,3,1,4,6,8]=>[3,5,2,1,7,4,9,6,8]
[9,7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,9,6,8]
[8,2,1,4,3,6,5,7,9]=>[2,8,4,1,6,3,5,7,9]
[4,2,1,6,3,5,8,7,9]=>[2,4,6,1,3,5,8,7,9]
[6,4,2,1,8,3,5,9,7]=>[2,4,6,8,1,3,9,5,7]
[6,4,2,7,1,3,5,8,9]=>[7,4,1,6,3,2,5,8,9]
[8,9,4,2,5,1,3,6,7]=>[5,4,1,9,2,3,6,8,7]
[9,6,7,2,3,1,4,5,8]=>[3,7,2,1,4,9,6,5,8]
[9,7,4,5,1,2,3,6,8]=>[5,1,2,7,4,3,9,6,8]
[1,2,9,3,4,5,6,8,7]=>[1,2,9,3,4,5,8,6,7]
[1,2,3,8,4,5,9,6,7]=>[1,2,3,8,4,9,6,5,7]
[1,2,3,4,9,5,6,8,7]=>[1,2,3,4,9,5,8,6,7]
[1,2,3,4,5,9,6,8,7]=>[1,2,3,4,5,9,8,6,7]
[7,1,2,3,4,8,5,9,6]=>[7,1,2,3,8,9,4,5,6]
[6,9,1,2,3,4,8,5,7]=>[9,1,2,3,8,6,5,4,7]
[5,1,9,2,3,4,8,6,7]=>[5,9,2,3,1,8,6,4,7]
[4,1,2,3,5,8,6,9,7]=>[4,1,2,3,5,8,9,6,7]
[3,1,2,4,9,5,8,6,7]=>[3,1,2,4,9,8,6,5,7]
[2,1,3,4,5,9,6,8,7]=>[2,1,3,4,5,9,8,6,7]
[1,7,2,3,4,5,9,8,6]=>[1,7,2,3,4,8,5,9,6]
[1,6,2,3,4,5,9,8,7]=>[1,6,2,3,4,5,8,9,7]
[6,1,2,3,7,4,8,9,5]=>[6,1,2,7,9,3,4,8,5]
[1,2,3,8,5,4,6,9,7]=>[1,2,3,5,8,4,9,6,7]
[5,9,1,2,6,3,4,8,7]=>[9,1,6,3,5,2,8,4,7]
[1,4,2,3,5,6,9,8,7]=>[1,4,2,3,5,6,8,9,7]
[4,1,9,5,2,3,6,8,7]=>[4,5,2,1,9,3,8,6,7]
[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]
[3,4,1,2,5,6,8,9,7]=>[4,1,3,2,5,6,9,8,7]
[2,3,1,4,9,5,6,8,7]=>[3,2,1,4,9,5,8,6,7]
[8,7,6,1,5,4,3,2,9]=>[6,3,4,5,1,7,8,2,9]
[7,9,8,6,1,5,4,3,2]=>[6,3,4,5,1,8,7,9,2]
[8,7,6,4,1,5,3,2,9]=>[4,3,6,5,2,7,8,1,9]
[8,7,6,2,5,4,3,1,9]=>[3,4,5,6,2,7,8,1,9]
[7,9,8,6,4,1,5,3,2]=>[4,3,6,5,2,8,7,9,1]
[7,9,8,6,2,5,4,3,1]=>[3,4,5,6,2,8,7,9,1]
[8,1,2,3,4,6,9,5,7]=>[8,1,2,3,9,4,5,6,7]
[8,1,2,4,6,9,3,5,7]=>[8,1,9,2,3,4,5,6,7]
[6,1,2,3,4,5,9,8,7]=>[6,1,2,3,4,5,8,9,7]
[5,1,2,3,4,8,6,9,7]=>[5,1,2,3,4,8,9,6,7]
[4,1,2,3,9,6,8,5,7]=>[4,1,2,3,8,9,5,6,7]
[3,1,2,8,4,6,9,5,7]=>[3,1,2,8,9,4,5,6,7]
[2,1,9,4,6,8,3,5,7]=>[2,1,8,9,3,4,5,6,7]
[1,8,2,4,6,9,3,5,7]=>[1,8,9,2,3,4,5,6,7]
[2,3,4,5,8,7,9,1,6]=>[9,2,3,4,5,1,8,7,6]
[2,3,4,7,6,8,9,1,5]=>[9,2,3,4,1,7,6,8,5]
[2,3,6,5,7,8,9,1,4]=>[9,2,3,1,6,5,7,8,4]
[2,5,4,6,7,8,9,1,3]=>[9,2,1,5,4,6,7,8,3]
[4,3,5,6,7,8,9,1,2]=>[9,1,4,3,5,6,7,8,2]
[6,7,8,5,4,3,2,1,9]=>[2,3,4,5,8,6,7,1,9]
[6,5,7,8,4,3,2,1,9]=>[2,3,4,8,6,5,7,1,9]
[6,5,4,7,8,3,2,1,9]=>[2,3,8,5,6,4,7,1,9]
[6,5,4,3,7,8,2,1,9]=>[2,8,4,5,6,3,7,1,9]
[6,5,4,3,2,7,8,1,9]=>[8,3,4,5,6,2,7,1,9]
[7,8,9,5,4,3,2,1,6]=>[2,3,4,5,9,1,7,8,6]
[6,7,8,9,4,3,2,1,5]=>[2,3,4,9,1,6,7,8,5]
[6,5,7,8,9,3,2,1,4]=>[2,3,9,1,6,5,7,8,4]
[6,5,4,7,8,9,2,1,3]=>[2,9,1,5,6,4,7,8,3]
[6,5,4,3,7,8,9,1,2]=>[9,1,4,5,6,3,7,8,2]
[6,5,4,3,2,7,8,9,1]=>[9,3,4,5,6,2,7,8,1]
[8,7,6,5,3,2,1,4,9]=>[2,3,5,1,6,7,8,4,9]
[8,7,6,4,3,2,1,5,9]=>[2,3,4,6,1,7,8,5,9]
[8,7,5,4,3,2,1,6,9]=>[2,3,4,5,7,1,8,6,9]
[8,7,6,5,4,1,2,3,9]=>[4,1,2,5,6,7,8,3,9]
[8,7,6,5,2,3,1,4,9]=>[3,5,2,1,6,7,8,4,9]
[8,7,6,3,4,2,1,5,9]=>[2,4,6,3,1,7,8,5,9]
[8,7,4,5,3,2,1,6,9]=>[2,3,5,7,4,1,8,6,9]
[8,5,6,4,3,2,1,7,9]=>[2,3,4,6,8,5,1,7,9]
[6,7,5,4,3,2,1,8,9]=>[2,3,4,5,7,6,1,8,9]
[6,8,7,9,5,4,3,2,1]=>[2,3,4,5,9,6,8,7,1]
[5,8,7,6,9,4,3,2,1]=>[2,3,4,9,5,7,8,6,1]
[4,8,7,6,5,9,3,2,1]=>[2,3,9,4,6,7,8,5,1]
[3,8,7,6,5,4,9,2,1]=>[2,9,3,5,6,7,8,4,1]
[2,8,7,6,5,4,3,9,1]=>[9,2,4,5,6,7,8,3,1]
[7,6,5,8,4,3,2,9,1]=>[9,3,4,8,6,7,5,2,1]
[5,8,7,6,4,3,2,9,1]=>[9,3,4,6,5,7,8,2,1]
[2,8,7,6,9,5,4,3,1]=>[3,2,4,5,9,7,8,6,1]
[2,6,9,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,9,1]
[1,2,3,4,9,5,7,8,6]=>[1,2,3,4,9,8,5,7,6]
[1,2,3,9,4,6,7,8,5]=>[1,2,3,9,8,4,6,7,5]
[1,2,9,3,5,6,7,8,4]=>[1,2,9,8,3,5,6,7,4]
[1,9,2,4,5,6,7,8,3]=>[1,9,8,2,4,5,6,7,3]
[9,1,3,4,5,6,7,8,2]=>[9,8,1,3,4,5,6,7,2]
[1,8,3,4,5,6,9,2,7]=>[1,9,8,3,4,5,2,6,7]
[8,2,3,4,5,1,9,7,6]=>[5,8,2,3,4,7,9,1,6]
[8,1,9,4,5,6,7,3,2]=>[8,3,7,9,4,5,6,1,2]
[7,9,3,4,5,6,1,8,2]=>[6,8,9,3,4,5,7,1,2]
[1,2,8,4,5,6,9,3,7]=>[1,2,9,8,4,5,3,6,7]
[7,8,3,4,5,2,9,1,6]=>[9,5,8,3,4,1,7,2,6]
[8,2,3,4,1,6,9,7,5]=>[4,8,2,3,7,1,9,6,5]
[8,1,3,9,5,6,7,4,2]=>[8,4,1,7,9,5,6,3,2]
[7,8,9,4,5,6,3,1,2]=>[3,1,6,9,4,5,7,8,2]
[6,9,3,4,5,1,7,8,2]=>[5,8,9,3,4,6,1,7,2]
[1,4,7,6,8,5,3,9,2]=>[1,9,5,4,8,7,6,3,2]
[1,2,7,6,8,5,4,9,3]=>[1,2,9,5,8,7,6,4,3]
[1,4,5,7,8,6,3,9,2]=>[1,9,6,4,5,8,7,3,2]
[1,2,5,7,8,6,4,9,3]=>[1,2,9,6,5,8,7,4,3]
[1,2,3,7,8,6,5,9,4]=>[1,2,3,9,6,8,7,5,4]
[1,4,7,6,5,3,8,9,2]=>[1,9,5,4,6,7,3,8,2]
[1,2,7,6,5,4,8,9,3]=>[1,2,9,5,6,7,4,8,3]
[1,4,5,7,6,3,8,9,2]=>[1,9,6,4,5,7,3,8,2]
[1,2,5,7,6,4,8,9,3]=>[1,2,9,6,5,7,4,8,3]
[1,2,3,7,6,5,8,9,4]=>[1,2,3,9,6,7,5,8,4]
[1,4,5,6,3,7,8,9,2]=>[1,9,6,4,5,3,7,8,2]
[1,2,5,6,4,7,8,9,3]=>[1,2,9,6,5,4,7,8,3]
[2,3,4,5,8,1,9,6,7]=>[8,2,3,4,5,9,6,1,7]
[2,3,4,7,1,8,9,5,6]=>[7,2,3,4,9,5,1,8,6]
[2,5,1,6,7,8,9,3,4]=>[5,2,9,3,1,6,7,8,4]
[4,1,5,6,7,8,9,2,3]=>[4,9,2,1,5,6,7,8,3]
[2,3,4,5,8,9,1,6,7]=>[9,2,3,4,5,1,6,8,7]
[2,3,4,7,8,1,9,5,6]=>[8,2,3,4,9,5,7,1,6]
[2,3,6,7,1,8,9,4,5]=>[7,2,3,9,4,6,1,8,5]
[2,3,4,8,1,5,9,6,7]=>[8,2,3,4,1,9,6,5,7]
[2,5,6,1,7,8,9,3,4]=>[6,2,9,3,5,1,7,8,4]
[2,3,7,1,4,8,9,5,6]=>[7,2,3,1,9,5,4,8,6]
[4,5,1,6,7,8,9,2,3]=>[5,9,2,4,1,6,7,8,3]
[5,1,2,6,7,8,9,3,4]=>[5,1,9,3,2,6,7,8,4]
[9,8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,9,1]
[2,3,9,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,9,1]
[9,1,3,2,4,5,6,7,8]=>[9,3,1,2,4,5,6,7,8]
[7,9,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,7,9,2]
[9,7,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,9,7,2]
[9,8,7,1,6,5,4,3,2]=>[7,3,4,5,6,1,8,9,2]
[6,9,8,7,1,5,4,3,2]=>[7,3,4,5,1,6,8,9,2]
[9,6,8,7,1,5,4,3,2]=>[7,3,4,5,1,8,9,2,6]
[8,9,6,7,1,5,4,3,2]=>[7,3,4,5,1,9,6,8,2]
[9,8,6,7,1,5,4,3,2]=>[7,3,4,5,1,8,6,9,2]
[9,8,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,8,9,2]
[9,5,8,7,6,1,4,3,2]=>[6,3,4,1,7,8,9,5,2]
[8,9,5,7,6,1,4,3,2]=>[6,3,4,1,7,9,2,8,5]
[9,8,5,7,6,1,4,3,2]=>[6,3,4,1,7,8,2,9,5]
[9,7,8,5,6,1,4,3,2]=>[6,3,4,1,8,5,9,7,2]
[9,8,7,5,6,1,4,3,2]=>[6,3,4,1,7,5,8,9,2]
[9,8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,9,2]
[7,9,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,7,9,4]
[9,7,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,9,7,4]
[9,8,7,4,6,5,1,3,2]=>[5,3,1,6,7,2,8,9,4]
[9,8,6,7,4,5,1,3,2]=>[5,3,1,7,4,8,6,9,2]
[9,8,7,6,4,5,1,3,2]=>[5,3,1,6,4,7,8,9,2]
[3,5,2,4,7,6,9,8,1]=>[8,5,3,2,4,7,6,9,1]
[3,5,2,7,4,6,9,8,1]=>[8,5,3,7,2,4,6,9,1]
[3,5,2,7,4,9,6,8,1]=>[8,5,3,7,2,9,4,6,1]
[3,5,2,7,4,9,6,1,8]=>[6,5,3,9,2,7,1,4,8]
[3,5,2,7,4,8,6,1,9]=>[6,5,3,8,2,7,1,4,9]
[3,5,2,6,4,8,7,1,9]=>[7,5,3,6,2,4,8,1,9]
[3,4,2,6,5,8,7,1,9]=>[7,4,3,2,6,5,8,1,9]
[2,4,3,6,5,8,7,1,9]=>[7,2,4,3,6,5,8,1,9]
[3,5,7,2,4,6,9,8,1]=>[8,7,3,2,5,4,6,9,1]
[3,5,2,7,9,4,6,8,1]=>[8,5,3,9,2,4,7,6,1]
[3,5,2,7,4,9,1,8,6]=>[9,5,3,7,2,8,4,1,6]
[3,5,2,7,4,8,6,9,1]=>[9,5,3,7,2,8,4,6,1]
[3,5,2,6,4,9,7,1,8]=>[7,5,3,6,2,4,9,1,8]
[3,4,2,7,5,8,6,1,9]=>[6,4,3,2,8,7,1,5,9]
[2,5,3,6,4,8,7,1,9]=>[7,2,5,6,3,4,8,1,9]
[3,5,1,2,4,7,6,9,8]=>[5,1,3,2,4,7,6,9,8]
[3,1,5,7,2,4,6,9,8]=>[3,7,1,2,5,4,6,9,8]
[3,1,5,2,7,9,4,6,8]=>[3,5,1,9,2,4,7,6,8]
[3,1,5,2,6,4,9,7,8]=>[3,5,1,6,2,4,9,7,8]
[3,1,4,2,7,5,8,6,9]=>[3,4,1,2,7,8,5,6,9]
[2,1,5,3,6,4,8,7,9]=>[2,1,5,6,3,4,8,7,9]
[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1]
[1,4,5,6,7,8,3,9,2]=>[1,9,8,4,5,6,7,3,2]
[3,4,5,6,7,2,1,9,8]=>[2,7,3,4,5,6,1,9,8]
[2,1,5,6,7,8,9,4,3]=>[2,1,4,9,5,6,7,8,3]
[2,4,5,6,7,8,3,1,9]=>[3,2,8,4,5,6,7,1,9]
[8,7,6,4,5,3,2,9,1]=>[9,3,5,6,4,7,8,2,1]
[2,9,8,7,5,6,4,3,1]=>[3,2,4,6,7,5,8,9,1]
[8,7,5,4,3,6,2,9,1]=>[9,6,4,5,7,3,8,2,1]
[8,7,3,6,5,4,2,9,1]=>[9,4,5,6,7,3,8,2,1]
[2,9,8,6,5,4,7,3,1]=>[3,2,7,5,6,8,4,9,1]
[2,9,8,4,7,6,5,3,1]=>[3,2,5,6,7,8,4,9,1]
[1,8,3,6,5,7,4,9,2]=>[1,9,8,7,6,3,5,4,2]
[1,2,8,6,5,7,4,9,3]=>[1,2,9,7,6,8,5,4,3]
[1,8,3,4,6,7,5,9,2]=>[1,9,8,3,7,4,6,5,2]
[1,2,8,4,6,7,5,9,3]=>[1,2,9,8,7,4,6,5,3]
[1,2,3,8,6,7,5,9,4]=>[1,2,3,9,7,8,6,5,4]
[1,7,3,6,5,4,8,9,2]=>[1,9,7,5,6,3,4,8,2]
[1,7,3,4,6,5,8,9,2]=>[1,9,7,3,6,4,5,8,2]
[1,2,7,4,6,5,8,9,3]=>[1,2,9,7,6,4,5,8,3]
[1,6,3,4,5,7,8,9,2]=>[1,9,6,3,4,5,7,8,2]
[1,2,6,4,5,7,8,9,3]=>[1,2,9,6,4,5,7,8,3]
[5,4,2,1,3,6,7,8,9]=>[2,4,1,5,3,6,7,8,9]
[7,5,2,1,3,6,4,8,9]=>[2,5,1,7,6,4,3,8,9]
[6,3,5,2,1,4,7,8,9]=>[2,5,6,1,3,4,7,8,9]
[9,6,2,1,3,4,7,8,5]=>[2,6,1,3,9,8,5,7,4]
[8,1,7,3,4,6,2,5,9]=>[8,6,7,3,2,4,1,5,9]
[8,3,6,2,1,4,7,5,9]=>[2,6,8,1,7,3,4,5,9]
[5,7,2,6,4,1,3,8,9]=>[4,6,2,7,5,1,3,8,9]
[7,3,4,6,2,1,5,8,9]=>[2,6,7,3,1,4,5,8,9]
[9,8,2,7,4,1,5,3,6]=>[4,7,8,5,2,1,3,9,6]
[9,3,4,7,2,1,5,8,6]=>[2,7,9,3,1,8,4,5,6]
[6,8,5,3,7,2,1,4,9]=>[2,7,5,1,8,6,3,4,9]
[8,3,4,5,7,2,1,6,9]=>[2,7,8,3,4,1,5,6,9]
[5,7,2,9,4,8,6,1,3]=>[6,8,2,7,5,9,4,1,3]
[7,9,4,6,3,8,2,1,5]=>[2,8,6,9,1,4,7,3,5]
[9,3,4,5,6,8,2,1,7]=>[2,8,9,3,4,5,1,6,7]
[8,6,9,7,5,4,3,2,1]=>[2,3,4,5,7,9,8,1,6]
[8,7,5,9,6,4,3,2,1]=>[2,3,4,6,9,7,8,1,5]
[8,7,6,4,9,5,3,2,1]=>[2,3,5,9,6,7,8,1,4]
[8,7,6,5,3,9,4,2,1]=>[2,4,9,5,6,7,8,1,3]
[8,7,6,5,4,2,9,3,1]=>[3,9,4,5,6,7,8,1,2]
[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1]
[5,6,4,7,3,9,2,8,1]=>[8,9,7,6,5,4,3,2,1]
[5,6,4,9,3,7,2,8,1]=>[8,7,9,6,5,4,3,2,1]
[5,9,4,6,3,7,2,8,1]=>[8,7,6,9,5,4,3,2,1]
[9,5,4,6,3,7,2,8,1]=>[8,7,6,5,9,4,3,2,1]
[5,4,9,6,3,7,2,8,1]=>[8,7,6,5,4,9,3,2,1]
[5,4,6,3,9,7,2,8,1]=>[8,7,6,5,4,3,9,2,1]
[5,4,6,3,7,2,9,8,1]=>[8,7,6,5,4,3,2,9,1]
[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9]
[5,6,4,9,3,8,2,7,1]=>[7,8,9,6,5,4,2,3,1]
[5,9,4,7,3,6,2,8,1]=>[8,6,7,9,5,3,4,2,1]
[9,4,6,5,3,7,2,8,1]=>[8,7,5,6,9,3,4,2,1]
[4,5,9,6,3,7,2,8,1]=>[8,7,6,4,5,9,3,2,1]
[5,3,6,4,9,7,2,8,1]=>[8,7,5,6,3,4,9,2,1]
[5,4,6,2,7,3,9,8,1]=>[8,6,7,5,4,2,3,9,1]
[5,4,6,3,7,1,8,2,9]=>[7,8,6,5,4,3,1,2,9]
[1,8,3,4,5,6,7,9,2]=>[1,9,8,3,4,5,6,7,2]
[7,2,3,4,5,6,1,9,8]=>[6,7,2,3,4,5,1,9,8]
[2,1,9,4,5,6,7,8,3]=>[2,1,8,9,4,5,6,7,3]
[2,8,3,4,5,6,7,1,9]=>[7,2,8,3,4,5,6,1,9]
[2,9,1,8,7,6,5,4,3]=>[9,2,4,5,6,7,8,1,3]
[2,9,8,1,7,6,5,4,3]=>[8,2,4,5,6,7,1,9,3]
[7,6,5,4,3,1,9,2,8]=>[3,4,5,6,7,9,1,2,8]
[8,7,6,5,4,1,2,9,3]=>[4,1,5,6,7,8,9,2,3]
[7,6,5,4,2,1,9,3,8]=>[2,4,5,6,7,9,3,1,8]
[6,5,4,3,1,9,7,2,8]=>[3,4,5,6,7,2,9,1,8]
[8,7,6,5,3,1,2,9,4]=>[3,1,5,6,7,8,9,4,2]
[7,6,5,4,1,2,9,8,3]=>[4,1,5,6,7,8,3,9,2]
[7,6,5,3,2,1,9,4,8]=>[2,3,5,6,7,9,1,4,8]
[6,5,4,1,7,2,9,3,8]=>[4,5,6,7,9,3,1,2,8]
[5,4,3,1,9,7,6,2,8]=>[3,4,5,6,1,7,9,2,8]
[8,7,6,4,3,1,2,9,5]=>[3,1,4,6,7,8,9,2,5]
[7,6,5,1,2,8,3,9,4]=>[5,1,6,7,8,9,4,2,3]
[6,5,4,1,2,9,8,7,3]=>[4,1,5,6,7,2,8,9,3]
[8,7,1,2,3,4,5,6,9]=>[7,1,2,3,4,5,8,6,9]
[8,6,7,1,2,3,4,5,9]=>[7,1,2,3,4,8,6,5,9]
[8,7,6,1,2,3,4,5,9]=>[6,1,2,3,4,7,8,5,9]
[8,5,6,7,1,2,3,4,9]=>[7,1,2,3,8,5,6,4,9]
[7,8,5,6,1,2,3,4,9]=>[6,1,2,3,8,5,7,4,9]
[8,7,5,6,1,2,3,4,9]=>[6,1,2,3,7,5,8,4,9]
[8,7,6,5,1,2,3,4,9]=>[5,1,2,3,6,7,8,4,9]
[8,4,5,6,9,1,2,3,7]=>[9,1,2,8,4,5,3,6,7]
[7,8,4,5,6,1,2,3,9]=>[6,1,2,8,4,5,7,3,9]
[8,7,4,5,6,1,2,3,9]=>[6,1,2,7,4,5,8,3,9]
[8,6,7,4,5,1,2,3,9]=>[5,1,2,7,4,8,6,3,9]
[8,7,6,4,5,1,2,3,9]=>[5,1,2,6,4,7,8,3,9]
[6,7,9,3,4,8,1,2,5]=>[8,1,9,3,2,6,7,4,5]
[8,6,7,3,4,9,1,2,5]=>[9,1,7,3,2,8,6,4,5]
[8,7,6,3,4,9,1,2,5]=>[9,1,6,3,2,7,8,4,5]
[8,7,5,6,3,4,1,2,9]=>[4,1,6,3,7,5,8,2,9]
[8,7,6,5,3,4,1,2,9]=>[4,1,5,3,6,7,8,2,9]
[8,7,6,4,9,2,5,1,3]=>[5,9,1,6,2,7,8,4,3]
[8,7,6,5,4,2,9,1,3]=>[9,4,1,5,6,7,8,2,3]
[2,5,1,8,3,4,9,6,7]=>[5,2,8,3,1,9,6,4,7]
[2,3,1,8,4,5,9,6,7]=>[3,2,1,8,4,9,6,5,7]
[2,5,6,8,1,3,9,4,7]=>[8,2,1,9,5,6,4,3,7]
[2,3,6,8,1,4,9,5,7]=>[8,2,3,1,9,6,5,4,7]
[2,5,1,3,4,8,9,6,7]=>[5,2,1,3,4,9,6,8,7]
[2,3,1,4,5,8,9,6,7]=>[3,2,1,4,5,9,6,8,7]
[2,5,6,1,3,8,9,4,7]=>[6,2,1,9,5,3,4,8,7]
[2,3,6,1,4,8,9,5,7]=>[6,2,3,1,9,4,5,8,7]
[2,3,4,1,5,8,9,6,7]=>[4,2,3,1,5,9,6,8,7]
[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]
[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]
[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]
[7,1,2,8,3,4,5,6,9]=>[7,1,8,3,4,5,2,6,9]
[6,1,2,3,7,4,5,8,9]=>[6,1,2,7,4,3,5,8,9]
[5,1,2,3,6,7,4,8,9]=>[5,1,2,7,3,6,4,8,9]
[4,1,2,5,6,7,8,3,9]=>[4,1,8,2,5,6,7,3,9]
[9,8,2,3,4,5,6,7,1]=>[7,8,2,3,4,5,6,9,1]
[8,9,2,3,4,5,6,7,1]=>[7,9,2,3,4,5,6,8,1]
[9,8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,9,1]
[7,9,8,3,4,5,6,2,1]=>[2,6,8,3,4,5,7,9,1]
[7,8,9,3,4,5,6,2,1]=>[2,6,9,3,4,5,7,8,1]
[9,8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,9,1]
[6,9,8,7,4,5,3,2,1]=>[2,3,5,7,4,6,8,9,1]
[7,6,9,8,4,5,3,2,1]=>[2,3,5,8,4,7,6,9,1]
[6,7,9,8,4,5,3,2,1]=>[2,3,5,8,4,6,7,9,1]
[6,5,9,8,7,4,3,2,1]=>[2,3,4,7,6,5,8,9,1]
[5,6,9,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,9,1]
[5,7,6,9,8,4,3,2,1]=>[2,3,4,8,5,7,6,9,1]
[5,6,7,9,8,4,3,2,1]=>[2,3,4,8,5,6,7,9,1]
[6,5,4,7,8,9,3,2,1]=>[2,3,9,5,6,4,7,8,1]
[4,6,5,7,8,9,3,2,1]=>[2,3,9,4,6,5,7,8,1]
[7,6,9,8,1,2,5,4,3]=>[8,1,4,5,2,7,6,9,3]
[6,7,9,8,1,2,5,4,3]=>[8,1,4,5,2,6,7,9,3]
[6,7,8,9,1,2,5,4,3]=>[9,1,4,5,2,6,7,8,3]
[5,6,7,8,9,1,4,3,2]=>[9,3,4,1,5,6,7,8,2]
[5,7,6,9,8,2,1,4,3]=>[2,8,4,1,5,7,6,9,3]
[5,6,7,9,8,2,1,4,3]=>[2,8,4,1,5,6,7,9,3]
[5,6,7,8,9,2,1,4,3]=>[2,9,4,1,5,6,7,8,3]
[5,6,7,8,9,1,2,4,3]=>[9,1,4,2,5,6,7,8,3]
[2,4,3,1,6,5,8,7,9]=>[3,2,4,1,6,5,8,7,9]
[2,4,3,6,5,1,8,7,9]=>[5,2,4,3,6,1,8,7,9]
[2,4,3,6,5,8,7,9,1]=>[9,2,4,3,6,5,8,7,1]
[2,4,3,6,5,7,1,9,8]=>[7,2,4,3,6,5,1,9,8]
[2,4,3,5,1,7,6,9,8]=>[5,2,4,3,1,7,6,9,8]
[2,6,4,3,5,1,8,7,9]=>[5,2,4,6,3,1,8,7,9]
[2,4,3,8,6,5,7,1,9]=>[7,2,4,3,6,8,5,1,9]
[2,4,3,6,5,9,8,7,1]=>[7,2,4,3,6,5,8,9,1]
[2,4,3,6,5,7,1,8,9]=>[7,2,4,3,6,5,1,8,9]
[2,4,3,5,1,8,7,9,6]=>[5,2,4,3,1,9,8,7,6]
[2,3,1,6,5,7,4,9,8]=>[3,2,1,7,6,5,4,9,8]
[1,4,3,5,2,7,6,9,8]=>[1,5,4,3,2,7,6,9,8]
[1,8,2,9,3,7,4,6,5]=>[1,8,9,7,6,4,3,2,5]
[1,8,2,7,3,9,4,6,5]=>[1,8,7,9,6,4,2,3,5]
[1,8,2,7,3,6,4,9,5]=>[1,8,7,6,9,3,2,4,5]
[1,8,2,7,3,6,9,4,5]=>[1,8,7,9,4,3,2,6,5]
[1,8,2,7,9,3,6,4,5]=>[1,8,9,6,4,3,2,7,5]
[1,8,9,2,7,3,6,4,5]=>[1,9,7,6,4,3,2,8,5]
[1,7,3,9,2,8,4,6,5]=>[1,9,7,8,6,4,3,2,5]
[1,8,2,6,4,9,3,7,5]=>[1,8,9,6,7,2,3,4,5]
[1,8,2,7,3,5,9,4,6]=>[1,8,7,9,3,4,2,5,6]
[1,9,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,9,7]
[1,2,9,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,9,7]
[1,7,9,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,9,6]
[1,8,9,3,4,5,6,7,2]=>[1,7,9,3,4,5,6,8,2]
[1,2,3,9,8,4,5,6,7]=>[1,2,3,8,4,5,6,9,7]
[1,9,8,3,4,5,6,2,7]=>[1,6,8,3,4,5,2,9,7]
[1,6,7,9,8,2,3,4,5]=>[1,8,2,3,4,6,7,9,5]
[1,3,4,9,5,6,7,8,2]=>[1,8,3,4,9,5,6,7,2]
[1,9,4,5,6,7,2,3,8]=>[1,7,2,9,4,5,6,3,8]
[1,7,8,9,3,4,5,6,2]=>[1,6,9,3,4,5,7,8,2]
[1,2,3,4,6,9,7,8,5]=>[1,2,3,4,8,6,9,7,5]
[1,2,3,5,9,6,7,8,4]=>[1,2,3,8,5,9,6,7,4]
[1,2,4,9,5,6,7,8,3]=>[1,2,8,4,9,5,6,7,3]
[3,4,5,6,1,8,9,2,7]=>[6,9,3,4,5,1,2,8,7]
[3,4,5,6,8,1,9,2,7]=>[8,9,3,4,5,6,2,1,7]
[3,4,5,6,8,9,1,2,7]=>[9,1,3,4,5,6,2,8,7]
[2,4,5,1,6,7,8,9,3]=>[5,2,9,4,1,6,7,8,3]
[2,3,4,1,6,7,8,9,5]=>[4,2,3,1,9,6,7,8,5]
[3,4,5,6,1,2,9,7,8]=>[6,1,3,4,5,2,9,7,8]
[3,4,5,6,8,1,2,7,9]=>[8,1,3,4,5,6,2,7,9]
[3,4,5,1,6,7,8,2,9]=>[5,8,3,4,1,6,7,2,9]
[5,6,1,7,8,9,2,3,4]=>[6,9,2,3,5,1,7,8,4]
[1,3,5,2,6,7,8,9,4]=>[1,5,3,9,2,6,7,8,4]
[2,1,4,3,6,7,8,9,5]=>[2,1,4,3,9,6,7,8,5]
[2,3,1,5,6,7,8,9,4]=>[3,2,1,9,5,6,7,8,4]
[9,7,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,9,7,6]
[9,8,6,7,4,3,2,1,5]=>[2,3,4,7,1,8,6,9,5]
[9,8,7,5,6,3,2,1,4]=>[2,3,6,1,7,5,8,9,4]
[9,8,7,6,4,5,2,1,3]=>[2,5,1,6,4,7,8,9,3]
[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]
[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]
[1,8,2,3,4,5,9,6,7]=>[1,8,2,3,4,9,6,5,7]
[1,6,2,3,4,5,7,8,9]=>[1,6,2,3,4,5,7,8,9]
[1,3,4,5,6,2,7,8,9]=>[1,6,3,4,5,2,7,8,9]
[1,3,4,5,6,8,9,2,7]=>[1,9,3,4,5,6,2,8,7]
[4,5,2,3,6,7,8,9,1]=>[9,5,2,4,3,6,7,8,1]
[4,3,2,5,6,7,8,9,1]=>[9,3,4,2,5,6,7,8,1]
[5,6,7,2,3,4,8,9,1]=>[9,7,2,3,5,6,4,8,1]
[5,3,6,2,4,7,8,9,1]=>[9,6,5,2,3,4,7,8,1]
[5,4,3,2,6,7,8,9,1]=>[9,3,4,5,2,6,7,8,1]
[6,3,7,8,2,4,5,9,1]=>[9,8,6,2,4,3,7,5,1]
[6,7,4,5,2,3,8,9,1]=>[9,5,2,7,4,6,3,8,1]
[6,4,3,7,2,5,8,9,1]=>[9,7,4,6,2,3,5,8,1]
[7,3,8,9,1,4,5,6,2]=>[9,6,7,1,4,5,3,8,2]
[7,8,4,5,9,2,3,6,1]=>[6,9,2,8,4,3,7,5,1]
[7,4,3,8,9,2,5,6,1]=>[6,9,4,7,2,5,3,8,1]
[7,5,8,3,6,2,4,9,1]=>[9,6,8,2,7,3,5,4,1]
[7,5,4,3,8,2,6,9,1]=>[9,8,4,5,7,2,3,6,1]
[7,6,5,4,3,2,8,9,1]=>[9,3,4,5,6,7,2,8,1]
[8,9,1,6,7,2,4,5,3]=>[9,7,5,2,4,1,6,8,3]
[8,5,9,3,6,1,4,7,2]=>[6,7,9,1,8,3,4,5,2]
[8,5,4,3,9,1,6,7,2]=>[9,7,4,5,8,1,6,3,2]
[8,6,4,9,3,7,2,5,1]=>[5,7,9,6,2,8,3,4,1]
[8,6,5,4,3,9,2,7,1]=>[7,9,4,5,6,8,2,3,1]
[9,7,1,6,2,5,3,8,4]=>[7,6,5,9,2,4,8,3,1]
[9,7,5,4,1,6,2,8,3]=>[4,5,7,6,9,2,8,1,3]
[3,1,6,2,4,7,5,9,8]=>[3,6,1,2,7,4,5,9,8]
[2,3,1,4,6,7,5,8,9]=>[3,2,1,4,7,6,5,8,9]
[2,4,1,5,6,7,3,8,9]=>[4,2,7,1,5,6,3,8,9]
[2,3,1,4,6,8,5,9,7]=>[3,2,1,4,8,6,9,5,7]
[2,4,1,6,7,8,3,9,5]=>[4,2,8,1,9,6,7,3,5]
[2,3,1,6,4,5,7,8,9]=>[3,2,1,6,4,5,7,8,9]
[2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]
[2,3,1,6,4,5,8,9,7]=>[3,2,1,6,4,5,9,8,7]
[2,4,1,5,3,6,8,9,7]=>[4,2,5,1,3,6,9,8,7]
[2,3,1,6,4,8,5,7,9]=>[3,2,1,6,8,4,5,7,9]
[2,4,1,5,3,8,6,7,9]=>[4,2,5,1,3,8,6,7,9]
[4,5,6,7,8,3,9,1,2]=>[9,1,8,4,5,6,7,3,2]
[8,9,2,3,4,5,1,6,7]=>[5,9,2,3,4,1,6,8,7]
[5,6,7,4,8,9,1,2,3]=>[9,1,2,7,5,6,4,8,3]
[7,8,9,2,3,1,4,5,6]=>[3,9,2,1,4,5,7,8,6]
[6,5,7,8,9,1,2,3,4]=>[9,1,2,3,6,5,7,8,4]
[7,1,2,3,4,5,8,6,9]=>[7,1,2,3,4,8,5,6,9]
[6,1,2,3,4,7,5,8,9]=>[6,1,2,3,7,4,5,8,9]
[5,1,2,3,6,4,7,8,9]=>[5,1,2,6,3,4,7,8,9]
[4,1,2,5,3,6,7,8,9]=>[4,1,5,2,3,6,7,8,9]
[8,1,2,3,4,5,9,7,6]=>[8,1,2,3,4,7,9,5,6]
[8,1,2,3,4,9,6,7,5]=>[8,1,2,3,7,9,6,4,5]
[9,1,2,3,8,5,6,7,4]=>[9,1,2,7,8,5,6,3,4]
[8,1,2,9,4,5,6,7,3]=>[8,1,7,9,4,5,6,2,3]
[8,1,9,3,4,5,6,7,2]=>[8,7,9,3,4,5,6,1,2]
[8,1,2,3,4,6,9,7,5]=>[8,1,2,3,7,4,9,6,5]
[8,1,2,3,5,9,6,7,4]=>[8,1,2,7,3,9,6,5,4]
[9,1,2,4,8,5,6,7,3]=>[9,1,7,2,8,5,6,4,3]
[8,1,3,9,4,5,6,7,2]=>[8,7,1,9,4,5,6,3,2]
[8,2,9,3,4,5,6,7,1]=>[7,8,9,3,4,5,6,2,1]
[7,1,2,3,4,9,8,6,5]=>[7,1,2,3,6,8,4,9,5]
[6,1,2,3,9,8,5,7,4]=>[6,1,2,7,8,3,5,9,4]
[9,1,2,3,4,6,7,8,5]=>[9,1,2,3,8,4,6,7,5]
[8,1,2,9,5,4,6,7,3]=>[8,1,7,5,9,4,6,2,3]
[8,1,2,3,5,6,9,7,4]=>[8,1,2,7,3,5,9,6,4]
[4,1,9,8,3,5,6,7,2]=>[4,7,8,1,3,5,6,9,2]
[8,1,2,4,5,9,6,7,3]=>[8,1,7,2,4,9,6,5,3]
[3,9,8,2,4,5,6,7,1]=>[7,8,3,2,4,5,6,9,1]
[9,1,3,4,8,5,6,7,2]=>[9,7,1,3,8,5,6,4,2]
[8,2,3,9,4,5,6,7,1]=>[7,8,2,9,4,5,6,3,1]
[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,6,8,7]
[1,2,3,4,7,9,5,8,6]=>[1,2,3,4,9,8,7,5,6]
[1,2,3,6,9,4,7,8,5]=>[1,2,3,9,8,6,4,7,5]
[1,2,5,9,3,6,7,8,4]=>[1,2,9,8,5,3,6,7,4]
[1,4,9,2,5,6,7,8,3]=>[1,9,8,4,2,5,6,7,3]
[3,9,1,4,5,6,7,8,2]=>[9,8,3,1,4,5,6,7,2]
[2,8,1,9,3,4,5,6,7]=>[8,2,9,3,4,5,6,1,7]
[1,4,2,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]
[1,3,4,2,6,5,8,7,9]=>[1,4,3,2,6,5,8,7,9]
[2,3,1,4,6,5,8,7,9]=>[3,2,1,4,6,5,8,7,9]
[4,6,1,2,3,5,8,7,9]=>[6,1,2,4,3,5,8,7,9]
[3,4,5,1,6,2,8,7,9]=>[5,6,3,4,1,2,8,7,9]
[3,1,2,4,6,5,8,7,9]=>[3,1,2,4,6,5,8,7,9]
[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,8,6,7,9]
[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,9,7,8]
[3,1,2,4,5,8,6,7,9]=>[3,1,2,4,5,8,6,7,9]
[1,2,3,4,5,7,8,6,9]=>[1,2,3,4,5,8,7,6,9]
[3,4,1,2,5,6,9,7,8]=>[4,1,3,2,5,6,9,7,8]
[7,1,9,3,4,5,6,2,8]=>[7,6,9,3,4,5,1,2,8]
[9,8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,9,7]
[7,2,1,9,4,5,6,3,8]=>[2,7,6,9,4,5,1,3,8]
[6,9,7,3,4,5,1,2,8]=>[5,1,7,3,4,6,9,2,8]
[3,8,1,2,9,5,6,7,4]=>[8,1,3,7,9,5,6,2,4]
[8,7,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,8,7,6]
[7,2,3,1,9,5,6,4,8]=>[3,7,2,6,9,5,1,4,8]
[6,1,2,7,4,5,9,3,8]=>[6,1,9,7,4,2,5,3,8]
[5,9,6,3,4,1,7,2,8]=>[4,7,6,3,5,9,1,2,8]
[3,8,1,4,2,9,6,7,5]=>[8,4,3,1,7,9,6,2,5]
[9,7,2,3,8,5,6,1,4]=>[6,7,2,1,9,3,8,5,4]
[7,6,9,1,2,3,4,8,5]=>[9,1,2,3,8,7,6,4,5]
[1,2,3,7,8,9,4,5,6]=>[1,2,3,9,4,5,7,8,6]
[1,2,6,7,9,3,4,8,5]=>[1,2,9,3,8,6,7,4,5]
[1,2,3,8,9,6,7,4,5]=>[1,2,3,7,4,9,6,8,5]
[1,2,3,6,9,4,8,7,5]=>[1,2,3,9,7,6,8,4,5]
[5,6,7,9,1,2,3,8,4]=>[9,1,2,8,5,6,7,3,4]
[1,5,8,9,2,6,7,3,4]=>[1,9,7,3,5,2,6,8,4]
[1,5,6,9,2,3,8,7,4]=>[1,9,2,7,5,6,8,3,4]
[1,2,7,9,5,8,3,6,4]=>[1,2,8,6,9,3,7,5,4]
[1,2,5,9,3,8,7,6,4]=>[1,2,9,6,5,7,8,3,4]
[4,7,9,1,5,8,2,6,3]=>[9,8,6,4,1,2,7,5,3]
[4,5,9,1,2,8,7,6,3]=>[9,1,6,4,5,7,8,2,3]
[1,8,9,6,7,4,5,2,3]=>[1,5,2,7,4,9,6,8,3]
[1,6,9,4,8,2,7,5,3]=>[1,8,5,7,9,6,2,3,4]
[1,4,9,2,8,7,6,5,3]=>[1,9,5,4,6,7,8,2,3]
[5,9,3,8,1,7,6,4,2]=>[8,4,6,7,5,9,1,3,2]
[3,9,1,8,7,6,5,4,2]=>[9,4,3,5,6,7,8,1,2]
[7,6,8,9,1,2,3,4,5]=>[9,1,2,3,4,7,6,8,5]
[5,4,6,7,8,9,1,2,3]=>[9,1,2,5,4,6,7,8,3]
[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]
[8,1,7,2,3,4,5,6,9]=>[8,7,2,3,4,5,1,6,9]
[7,1,2,6,3,4,5,8,9]=>[7,1,6,3,4,2,5,8,9]
[6,1,2,3,5,4,7,8,9]=>[6,1,2,5,3,4,7,8,9]
[5,1,2,4,6,7,3,8,9]=>[5,1,7,2,4,6,3,8,9]
[4,1,3,5,6,7,8,2,9]=>[4,8,1,3,5,6,7,2,9]
[2,3,4,6,7,8,9,5,1]=>[5,2,3,4,9,6,7,8,1]
[2,3,4,5,6,9,8,7,1]=>[7,2,3,4,5,6,8,9,1]
[2,3,4,5,8,7,9,6,1]=>[6,2,3,4,5,9,8,7,1]
[2,3,4,7,6,8,9,5,1]=>[5,2,3,4,9,7,6,8,1]
[2,3,6,5,7,8,9,4,1]=>[4,2,3,9,6,5,7,8,1]
[2,5,4,6,7,8,9,3,1]=>[3,2,9,5,4,6,7,8,1]
[4,3,5,6,7,8,9,2,1]=>[2,9,4,3,5,6,7,8,1]
[2,3,4,5,8,9,7,6,1]=>[6,2,3,4,5,7,9,8,1]
[2,3,4,7,8,6,9,5,1]=>[5,2,3,4,9,8,7,6,1]
[2,3,4,5,9,8,7,6,1]=>[6,2,3,4,5,7,8,9,1]
[2,3,6,7,5,8,9,4,1]=>[4,2,3,9,7,6,5,8,1]
[2,3,4,8,7,6,9,5,1]=>[5,2,3,4,9,7,8,6,1]
[2,5,6,4,7,8,9,3,1]=>[3,2,9,6,5,4,7,8,1]
[2,3,7,6,5,8,9,4,1]=>[4,2,3,9,6,7,5,8,1]
[4,5,3,6,7,8,9,2,1]=>[2,9,5,4,3,6,7,8,1]
[2,6,5,4,7,8,9,3,1]=>[3,2,9,5,6,4,7,8,1]
[5,4,3,6,7,8,9,2,1]=>[2,9,4,5,3,6,7,8,1]
[3,4,5,6,7,1,2,8,9]=>[7,1,3,4,5,6,2,8,9]
[1,3,2,9,4,5,6,7,8]=>[1,3,2,9,4,5,6,7,8]
[1,3,8,2,4,5,6,7,9]=>[1,8,3,2,4,5,6,7,9]
[2,3,5,1,4,7,6,9,8]=>[5,2,3,1,4,7,6,9,8]
[3,4,1,5,2,7,6,9,8]=>[4,5,3,1,2,7,6,9,8]
[4,1,2,5,3,7,6,9,8]=>[4,1,5,2,3,7,6,9,8]
[4,2,6,8,1,3,5,7,9]=>[8,4,1,2,3,6,5,7,9]
[4,6,2,8,1,3,5,7,9]=>[8,6,1,4,3,2,5,7,9]
[4,6,8,2,1,3,5,7,9]=>[2,8,1,4,3,6,5,7,9]
[4,6,8,2,9,1,3,5,7]=>[9,8,1,4,3,6,5,2,7]
[4,6,2,7,9,1,3,5,8]=>[9,6,1,4,3,2,7,5,8]
[4,2,5,7,9,1,3,6,8]=>[9,4,1,2,5,3,7,6,8]
[2,3,5,7,9,1,4,6,8]=>[9,2,3,1,5,4,7,6,8]
[6,4,2,8,1,3,5,7,9]=>[8,4,1,6,3,2,5,7,9]
[8,4,6,2,1,3,5,7,9]=>[2,6,1,8,3,4,5,7,9]
[4,6,8,9,2,1,3,5,7]=>[2,9,1,4,3,6,5,8,7]
[4,6,2,7,1,3,5,8,9]=>[7,6,1,4,3,2,5,8,9]
[4,8,2,5,9,1,3,6,7]=>[9,8,1,4,2,3,6,5,7]
[6,2,3,7,9,1,4,5,8]=>[9,6,2,1,4,3,7,5,8]
[1,4,5,7,9,2,3,6,8]=>[1,9,2,4,5,3,7,6,8]
[8,6,4,9,7,5,3,2,1]=>[2,3,5,7,6,9,8,4,1]
[7,8,5,9,6,4,3,2,1]=>[2,3,4,6,9,8,7,1,5]
[8,6,4,2,9,7,5,3,1]=>[3,5,4,7,6,9,8,1,2]
[7,8,5,3,9,6,4,2,1]=>[2,4,6,5,9,8,7,3,1]
[7,4,8,5,9,6,3,2,1]=>[2,3,6,9,7,8,5,1,4]
[6,7,8,4,9,5,3,2,1]=>[2,3,5,9,8,6,7,1,4]
[7,8,5,3,1,9,6,4,2]=>[3,5,4,8,6,9,7,1,2]
[7,4,8,5,2,9,6,3,1]=>[3,6,5,9,8,7,2,1,4]
[6,7,8,4,2,9,5,3,1]=>[3,5,4,9,8,6,7,2,1]
[6,7,3,8,4,9,5,2,1]=>[2,5,9,7,8,6,4,1,3]
[5,6,7,8,3,9,4,2,1]=>[2,4,9,8,5,6,7,1,3]
[6,7,3,8,4,1,9,5,2]=>[4,8,5,9,7,6,3,2,1]
[5,6,7,8,3,1,9,4,2]=>[3,8,4,9,5,6,7,2,1]
[6,2,7,3,8,4,9,5,1]=>[5,9,6,7,8,3,4,1,2]
[5,6,7,2,8,3,9,4,1]=>[4,9,7,8,5,6,3,1,2]
[4,5,6,7,8,2,9,3,1]=>[3,9,8,4,5,6,7,1,2]
[5,6,1,7,2,8,3,9,4]=>[6,7,8,9,5,1,2,3,4]
[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3]
[2,4,1,6,8,3,9,5,7]=>[4,2,8,1,9,6,5,3,7]
[2,4,6,1,8,3,9,5,7]=>[6,2,8,4,9,1,5,3,7]
[2,1,4,3,6,5,9,7,8]=>[2,1,4,3,6,5,9,7,8]
[2,1,4,3,7,5,9,6,8]=>[2,1,4,3,7,9,5,6,8]
[2,1,5,3,7,4,9,6,8]=>[2,1,5,7,3,9,4,6,8]
[2,4,1,6,8,9,3,5,7]=>[4,2,9,1,3,6,5,8,7]
[2,4,6,8,1,3,9,5,7]=>[8,2,1,4,9,6,5,3,7]
[2,4,6,1,7,3,8,5,9]=>[6,2,7,4,8,1,3,5,9]
[2,1,4,3,8,5,9,6,7]=>[2,1,4,3,8,9,6,5,7]
[2,1,6,3,7,4,9,5,8]=>[2,1,6,7,9,3,4,5,8]
[4,1,5,2,7,3,9,6,8]=>[4,5,7,1,2,9,3,6,8]
[2,3,4,5,9,6,7,8,1]=>[8,2,3,4,5,9,6,7,1]
[2,3,4,9,5,6,7,8,1]=>[8,2,3,4,9,5,6,7,1]
[2,3,9,4,5,6,7,8,1]=>[8,2,3,9,4,5,6,7,1]
[2,3,4,5,9,7,6,8,1]=>[8,2,3,4,5,7,9,6,1]
[2,3,4,9,6,5,7,8,1]=>[8,2,3,4,6,9,5,7,1]
[2,3,9,5,4,6,7,8,1]=>[8,2,3,5,9,4,6,7,1]
[2,9,4,3,5,6,7,8,1]=>[8,2,4,9,3,5,6,7,1]
[2,3,4,5,9,7,8,6,1]=>[6,2,3,4,5,8,9,7,1]
[2,3,4,9,6,7,5,8,1]=>[8,2,3,4,7,9,6,5,1]
[2,3,9,5,6,4,7,8,1]=>[8,2,3,6,9,5,4,7,1]
[2,3,4,9,7,6,5,8,1]=>[8,2,3,4,6,7,9,5,1]
[2,9,4,5,3,6,7,8,1]=>[8,2,5,9,4,3,6,7,1]
[2,3,9,6,5,4,7,8,1]=>[8,2,3,5,6,9,4,7,1]
[2,9,5,4,3,6,7,8,1]=>[8,2,4,5,9,3,6,7,1]
[2,1,8,3,4,5,6,7,9]=>[2,1,8,3,4,5,6,7,9]
[1,2,3,8,4,5,6,9,7]=>[1,2,3,8,4,5,9,6,7]
[1,9,6,2,3,4,5,8,7]=>[1,6,2,3,4,9,8,5,7]
[1,2,9,5,3,4,6,8,7]=>[1,2,5,3,9,4,8,6,7]
[1,2,4,8,3,5,6,9,7]=>[1,2,8,4,3,5,9,6,7]
[1,3,4,5,9,6,2,8,7]=>[1,6,3,4,5,9,8,2,7]
[7,9,1,2,3,4,5,8,6]=>[9,1,2,3,4,8,7,5,6]
[1,6,9,2,3,4,5,8,7]=>[1,9,2,3,4,6,8,5,7]
[1,2,8,9,3,5,6,7,4]=>[1,2,9,7,3,5,6,8,4]
[5,9,6,1,2,3,4,8,7]=>[6,1,2,3,5,9,8,4,7]
[1,2,4,5,9,3,6,8,7]=>[1,2,9,4,5,3,8,6,7]
[1,4,9,5,2,3,6,8,7]=>[1,5,2,4,9,3,8,6,7]
[1,3,4,5,6,9,2,8,7]=>[1,9,3,4,5,6,8,2,7]
[3,4,5,8,1,2,6,9,7]=>[8,1,3,4,5,2,9,6,7]
[9,8,7,4,5,6,3,2,1]=>[2,3,6,7,4,5,8,9,1]
[1,5,6,7,8,9,2,3,4]=>[1,9,2,3,5,6,7,8,4]
[1,7,2,8,9,3,4,5,6]=>[1,7,9,3,4,5,2,8,6]
[1,6,2,7,8,9,3,4,5]=>[1,6,9,3,4,2,7,8,5]
[1,5,2,6,7,8,9,3,4]=>[1,5,9,3,2,6,7,8,4]
[3,4,2,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]
[4,3,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]
[4,5,2,1,3,6,7,8,9]=>[2,5,1,4,3,6,7,8,9]
[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]
[5,3,1,2,4,6,7,8,9]=>[3,1,5,2,4,6,7,8,9]
[4,3,5,1,2,6,7,8,9]=>[5,1,4,3,2,6,7,8,9]
[5,6,1,2,3,4,7,8,9]=>[6,1,2,3,5,4,7,8,9]
[6,3,7,1,2,4,5,8,9]=>[7,1,6,2,4,3,5,8,9]
[5,4,3,1,2,6,7,8,9]=>[3,1,4,5,2,6,7,8,9]
[8,3,9,1,2,4,5,6,7]=>[9,1,8,2,4,5,6,3,7]
[7,4,3,8,1,2,5,6,9]=>[8,1,4,7,2,5,3,6,9]
[6,5,4,3,1,2,7,8,9]=>[3,1,4,5,6,2,7,8,9]
[9,5,6,1,2,3,4,7,8]=>[6,1,2,3,9,5,4,7,8]
[9,4,3,1,2,5,6,7,8]=>[3,1,4,9,2,5,6,7,8]
[8,6,9,3,7,1,2,4,5]=>[7,1,9,2,4,8,3,6,5]
[8,5,4,3,9,1,2,6,7]=>[9,1,4,5,8,2,6,3,7]
[7,6,5,4,3,1,2,8,9]=>[3,1,4,5,6,7,2,8,9]
[9,7,4,3,8,1,2,5,6]=>[8,1,4,7,2,5,9,3,6]
[9,6,5,4,3,1,2,7,8]=>[3,1,4,5,6,9,2,7,8]
[1,3,4,5,6,9,2,7,8]=>[1,9,3,4,5,6,2,7,8]
[1,3,4,5,9,2,6,7,8]=>[1,9,3,4,5,2,6,7,8]
[1,3,4,9,2,5,6,7,8]=>[1,9,3,4,2,5,6,7,8]
[6,2,3,4,5,1,9,7,8]=>[5,6,2,3,4,1,9,7,8]
[5,2,3,4,1,9,6,7,8]=>[4,5,2,3,1,9,6,7,8]
[4,2,3,1,9,5,6,7,8]=>[3,4,2,1,9,5,6,7,8]
[3,2,1,9,4,5,6,7,8]=>[2,3,1,9,4,5,6,7,8]
[2,3,4,5,9,7,1,8,6]=>[7,2,3,4,5,9,8,6,1]
[2,3,4,9,6,7,1,8,5]=>[7,2,3,4,8,9,6,1,5]
[2,3,9,5,6,1,7,8,4]=>[6,2,3,8,9,5,1,7,4]
[2,3,9,5,1,7,4,8,6]=>[5,2,3,9,7,8,4,1,6]
[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]
[2,3,4,5,6,8,7,9,1]=>[9,2,3,4,5,6,8,7,1]
[8,6,5,4,3,2,7,9,1]=>[9,3,4,5,6,8,2,7,1]
[8,9,5,4,3,2,1,6,7]=>[2,3,4,5,9,1,6,8,7]
[7,6,5,4,3,8,9,1,2]=>[9,1,4,5,6,7,3,8,2]
[9,6,5,4,3,2,7,1,8]=>[7,3,4,5,6,9,2,1,8]
[9,2,3,4,5,6,1,7,8]=>[6,9,2,3,4,5,1,7,8]
[3,1,5,6,7,8,9,2,4]=>[3,9,1,2,5,6,7,8,4]
[2,1,3,5,6,7,8,9,4]=>[2,1,3,9,5,6,7,8,4]
[3,4,5,6,7,9,1,2,8]=>[9,1,3,4,5,6,7,2,8]
[3,4,5,7,8,9,1,2,6]=>[9,1,3,4,5,2,7,8,6]
[3,4,6,7,8,9,1,2,5]=>[9,1,3,4,2,6,7,8,5]
[3,5,6,7,8,9,1,2,4]=>[9,1,3,2,5,6,7,8,4]
[3,4,5,6,1,9,2,7,8]=>[6,9,3,4,5,1,2,7,8]
[3,4,5,1,8,9,2,6,7]=>[5,9,3,4,1,2,6,8,7]
[3,4,1,7,8,9,2,5,6]=>[4,9,3,1,2,5,7,8,6]
[3,1,6,7,8,9,2,4,5]=>[3,9,1,2,4,6,7,8,5]
[3,4,5,6,9,1,2,7,8]=>[9,1,3,4,5,6,2,7,8]
[3,4,5,8,1,9,2,6,7]=>[8,9,3,4,5,2,6,1,7]
[3,4,5,6,1,2,7,8,9]=>[6,1,3,4,5,2,7,8,9]
[3,4,7,1,8,9,2,5,6]=>[7,9,3,4,2,5,1,8,6]
[3,4,5,1,2,9,6,7,8]=>[5,1,3,4,2,9,6,7,8]
[3,6,1,7,8,9,2,4,5]=>[6,9,3,2,4,1,7,8,5]
[3,4,1,2,8,9,5,6,7]=>[4,1,3,2,9,5,6,8,7]
[5,1,6,7,8,9,2,3,4]=>[5,9,2,3,1,6,7,8,4]
[3,1,2,7,8,9,4,5,6]=>[3,1,2,9,4,5,7,8,6]
[1,2,6,7,8,9,3,4,5]=>[1,2,9,3,4,6,7,8,5]
[1,2,5,6,7,3,8,9,4]=>[1,2,7,9,5,6,3,8,4]
[1,2,4,3,5,7,8,9,6]=>[1,2,4,3,5,9,7,8,6]
[2,3,5,6,7,4,8,1,9]=>[8,2,3,7,5,6,4,1,9]
[1,3,4,6,7,8,5,9,2]=>[1,9,3,4,8,6,7,5,2]
[3,1,2,4,5,6,7,9,8]=>[3,1,2,4,5,6,7,9,8]
[1,4,2,3,5,6,7,9,8]=>[1,4,2,3,5,6,7,9,8]
[4,1,2,3,5,6,7,9,8]=>[4,1,2,3,5,6,7,9,8]
[3,5,1,7,2,8,4,6,9]=>[5,7,3,8,1,4,2,6,9]
[3,5,1,7,2,9,4,8,6]=>[5,7,3,9,1,8,2,4,6]
[3,5,1,7,2,6,4,9,8]=>[5,7,3,6,1,2,4,9,8]
[3,5,1,4,2,7,6,9,8]=>[5,4,3,1,2,7,6,9,8]
[4,5,6,1,2,3,8,7,9]=>[6,1,2,4,5,3,8,7,9]
[3,6,1,7,8,2,4,5,9]=>[6,8,3,2,4,1,7,5,9]
[3,5,1,8,2,9,7,4,6]=>[5,8,3,7,1,4,9,2,6]
[3,5,1,7,2,6,4,8,9]=>[5,7,3,6,1,2,4,8,9]
[3,5,1,4,2,9,7,8,6]=>[5,4,3,1,2,8,9,7,6]
[3,2,1,7,5,6,4,9,8]=>[2,3,1,6,7,5,4,9,8]
[1,5,3,4,2,7,6,9,8]=>[1,4,5,3,2,7,6,9,8]
[9,2,3,4,5,6,8,7,1]=>[7,8,1,3,4,5,9,6,2]
[9,2,3,4,5,8,7,6,1]=>[6,7,2,3,4,8,9,5,1]
[9,2,3,4,8,6,7,5,1]=>[5,7,1,3,9,8,6,4,2]
[9,2,3,8,5,6,7,4,1]=>[4,7,1,9,8,5,6,3,2]
[9,2,8,4,5,6,7,3,1]=>[3,7,9,8,4,5,6,1,2]
[7,2,3,4,9,8,1,6,5]=>[8,7,2,3,6,1,4,9,5]
[6,2,3,9,8,1,7,5,4]=>[8,6,2,5,7,3,1,9,4]
[5,2,9,8,1,6,7,4,3]=>[8,5,4,7,2,1,6,9,3]
[4,9,8,1,5,6,7,3,2]=>[8,3,7,4,1,5,6,9,2]
[9,2,3,4,8,7,6,5,1]=>[5,6,1,3,7,8,9,4,2]
[9,2,3,7,8,6,4,5,1]=>[5,9,2,6,4,8,3,7,1]
[9,2,6,8,5,3,7,4,1]=>[4,7,9,5,8,3,1,6,2]
[9,5,8,4,2,6,7,3,1]=>[3,7,4,8,9,1,6,5,2]
[9,8,7,6,5,1,3,4,2]=>[5,4,1,3,6,7,8,9,2]
[9,8,7,6,1,4,5,3,2]=>[6,3,5,1,4,7,8,9,2]
[9,8,7,1,5,6,4,3,2]=>[7,3,4,6,1,5,8,9,2]
[9,8,1,6,7,5,4,3,2]=>[8,3,4,5,7,1,6,9,2]
[9,1,7,8,6,5,4,3,2]=>[9,3,4,5,6,8,1,7,2]
[1,3,4,5,6,7,2,9,8]=>[1,7,3,4,5,6,2,9,8]
[3,4,5,6,7,1,9,2,8]=>[7,9,3,4,5,6,1,2,8]
[3,2,4,1,6,5,8,7,9]=>[4,3,2,1,6,5,8,7,9]
[4,2,5,1,6,3,8,7,9]=>[5,4,6,2,1,3,8,7,9]
[4,2,6,1,7,3,8,5,9]=>[6,4,7,2,8,1,3,5,9]
[4,2,6,1,8,3,9,5,7]=>[6,4,8,2,9,1,5,3,7]
[4,2,6,1,7,3,5,9,8]=>[6,4,7,2,3,1,5,9,8]
[4,2,5,1,3,7,6,9,8]=>[5,4,1,2,3,7,6,9,8]
[3,2,5,4,6,1,8,7,9]=>[6,3,2,5,4,1,8,7,9]
[4,2,5,1,7,6,8,3,9]=>[5,4,8,2,1,7,6,3,9]
[4,2,6,1,7,3,9,8,5]=>[6,4,7,2,8,1,3,9,5]
[4,2,6,1,7,3,5,8,9]=>[6,4,7,2,3,1,5,8,9]
[4,2,5,1,3,8,9,6,7]=>[5,4,1,2,3,9,6,8,7]
[3,2,1,6,7,4,5,9,8]=>[2,3,1,7,4,6,5,9,8]
[1,4,5,2,3,7,6,9,8]=>[1,5,2,4,3,7,6,9,8]
[7,6,5,4,3,1,2,9,8]=>[3,1,4,5,6,7,2,9,8]
[7,6,5,4,2,1,3,9,8]=>[2,4,1,5,6,7,3,9,8]
[7,6,5,4,1,3,2,9,8]=>[4,3,1,5,6,7,2,9,8]
[9,8,7,6,5,3,2,4,1]=>[4,3,5,2,6,7,8,9,1]
[9,8,7,6,5,2,4,3,1]=>[3,4,5,1,6,7,8,9,2]
[2,3,4,8,6,7,9,5,1]=>[5,2,3,4,9,8,6,7,1]
[2,3,8,5,6,7,9,1,4]=>[9,2,3,1,8,5,6,7,4]
[2,8,4,5,6,7,9,3,1]=>[3,2,9,8,4,5,6,7,1]
[8,3,4,5,6,7,9,2,1]=>[2,9,8,3,4,5,6,7,1]
[2,3,4,5,7,9,1,8,6]=>[9,2,3,4,5,8,7,1,6]
[2,3,4,6,7,1,9,5,8]=>[7,2,3,4,9,6,1,5,8]
[2,3,5,6,1,7,9,4,8]=>[6,2,3,9,5,1,7,4,8]
[2,4,5,1,6,7,9,8,3]=>[5,2,8,4,1,6,7,9,3]
[3,4,1,5,6,7,9,2,8]=>[4,9,3,1,5,6,7,2,8]
[3,2,4,5,6,7,9,1,8]=>[9,3,2,4,5,6,7,1,8]
[2,3,4,7,6,9,8,5,1]=>[5,2,3,4,8,7,6,9,1]
[2,3,4,6,9,1,7,8,5]=>[9,2,3,4,8,6,1,7,5]
[2,5,4,6,8,7,9,1,3]=>[9,2,1,5,4,6,8,7,3]
[2,3,5,7,1,6,9,4,8]=>[7,2,3,9,5,1,6,4,8]
[4,3,5,8,6,7,9,2,1]=>[2,9,4,3,5,8,6,7,1]
[2,4,6,1,5,7,9,3,8]=>[6,2,9,4,1,5,7,3,8]
[2,4,8,5,6,7,9,1,3]=>[9,2,1,4,8,5,6,7,3]
[3,5,1,4,6,7,9,8,2]=>[5,8,3,1,4,6,7,9,2]
[4,2,3,5,6,7,9,1,8]=>[9,4,2,3,5,6,7,1,8]
[1,4,2,6,3,7,5,9,8]=>[1,4,6,2,7,3,5,9,8]
[1,3,2,6,4,7,5,9,8]=>[1,3,2,6,7,4,5,9,8]
[2,1,6,3,7,4,8,5,9]=>[2,1,6,7,8,3,4,5,9]
[7,9,6,8,4,5,2,3,1]=>[3,5,2,8,4,9,7,6,1]
[7,9,5,8,4,6,2,3,1]=>[3,6,2,8,9,4,7,5,1]
[7,9,5,8,3,6,2,4,1]=>[4,6,8,2,9,3,7,5,1]
[7,9,5,8,3,6,4,1,2]=>[4,1,6,8,9,2,7,5,3]
[7,9,5,8,6,3,4,1,2]=>[4,1,6,3,8,9,7,2,5]
[7,9,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,9,2]
[6,9,5,8,4,7,2,3,1]=>[3,7,2,8,9,6,4,5,1]
[7,9,4,8,3,6,2,5,1]=>[5,6,8,9,2,3,7,4,1]
[7,9,5,8,2,6,1,4,3]=>[6,8,4,1,9,2,7,5,3]
[7,9,5,8,3,6,4,2,1]=>[2,4,6,8,9,1,7,5,3]
[7,9,5,8,6,3,1,4,2]=>[3,6,4,2,8,9,7,1,5]
[7,9,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,7,9,3]
[9,7,5,8,6,3,4,1,2]=>[4,1,6,3,8,7,9,2,5]
[6,5,4,3,2,7,1,8,9]=>[7,3,4,5,6,2,1,8,9]
[5,4,3,2,6,1,7,8,9]=>[6,3,4,5,2,1,7,8,9]
[4,3,2,5,1,6,7,8,9]=>[5,3,4,2,1,6,7,8,9]
[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]
[1,3,5,2,7,4,6,9,8]=>[1,5,3,7,2,4,6,9,8]
[1,3,5,2,7,4,9,6,8]=>[1,5,3,7,2,9,4,6,8]
[1,3,5,2,7,4,8,6,9]=>[1,5,3,7,2,8,4,6,9]
[1,3,5,2,6,4,8,7,9]=>[1,5,3,6,2,4,8,7,9]
[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]
[1,3,5,7,2,4,6,9,8]=>[1,7,3,2,5,4,6,9,8]
[1,3,5,2,7,9,4,6,8]=>[1,5,3,9,2,4,7,6,8]
[1,3,5,2,7,4,8,9,6]=>[1,5,3,7,2,9,4,8,6]
[1,3,5,2,6,4,9,7,8]=>[1,5,3,6,2,4,9,7,8]
[1,3,4,2,7,5,8,6,9]=>[1,4,3,2,7,8,5,6,9]
[1,2,5,3,6,4,8,7,9]=>[1,2,5,6,3,4,8,7,9]
[1,3,5,7,2,9,4,6,8]=>[1,7,3,9,5,4,2,6,8]
[1,3,5,2,7,8,4,9,6]=>[1,5,3,8,2,9,7,4,6]
[1,3,5,7,9,2,4,6,8]=>[1,9,3,2,5,4,7,6,8]
[1,3,5,2,6,4,7,9,8]=>[1,5,3,6,2,4,7,9,8]
[1,3,5,2,7,8,9,4,6]=>[1,5,3,9,2,4,7,8,6]
[1,3,4,2,7,5,9,6,8]=>[1,4,3,2,7,9,5,6,8]
[1,3,5,2,6,4,7,8,9]=>[1,5,3,6,2,4,7,8,9]
[1,2,5,3,7,4,8,6,9]=>[1,2,5,7,3,8,4,6,9]
[1,3,4,2,8,5,9,6,7]=>[1,4,3,2,8,9,6,5,7]
[1,2,6,3,7,4,8,5,9]=>[1,2,6,7,8,3,4,5,9]
[5,6,2,1,3,7,4,8,9]=>[2,6,1,7,5,3,4,8,9]
[3,2,5,1,6,4,7,8,9]=>[5,3,2,6,1,4,7,8,9]
[6,7,2,1,8,3,4,9,5]=>[2,7,8,3,9,6,1,4,5]
[3,6,4,1,7,2,8,5,9]=>[4,6,3,7,8,2,1,5,9]
[3,6,7,2,1,4,8,5,9]=>[2,7,3,1,8,6,4,5,9]
[4,2,6,1,7,5,3,8,9]=>[6,4,5,2,7,1,3,8,9]
[4,3,2,6,1,7,5,8,9]=>[6,3,4,2,7,1,5,8,9]
[4,7,2,5,1,8,3,9,6]=>[5,7,8,4,2,9,1,3,6]
[4,3,7,8,2,1,5,9,6]=>[2,8,4,3,1,9,7,5,6]
[3,5,2,7,1,8,6,4,9]=>[7,5,3,6,2,8,1,4,9]
[5,4,3,2,7,1,8,6,9]=>[7,3,4,5,2,8,1,6,9]
[6,4,2,8,1,9,7,5,3]=>[8,4,6,5,7,3,9,1,2]
[4,3,6,2,8,1,9,7,5]=>[8,6,4,3,7,2,9,1,5]
[6,5,4,3,2,8,1,9,7]=>[8,3,4,5,6,2,9,1,7]
[2,8,7,9,6,5,4,3,1]=>[3,2,4,5,6,9,8,7,1]
[3,1,2,9,4,5,6,7,8]=>[3,1,2,9,4,5,6,7,8]
[4,1,2,3,9,5,6,7,8]=>[4,1,2,3,9,5,6,7,8]
[5,1,2,3,4,9,6,7,8]=>[5,1,2,3,4,9,6,7,8]
[6,1,2,3,4,5,9,7,8]=>[6,1,2,3,4,5,9,7,8]
[3,4,1,2,9,5,6,7,8]=>[4,1,3,2,9,5,6,7,8]
[4,5,1,2,3,9,6,7,8]=>[5,1,2,4,3,9,6,7,8]
[5,6,1,2,3,4,9,7,8]=>[6,1,2,3,5,4,9,7,8]
[6,7,1,2,3,4,5,9,8]=>[7,1,2,3,4,6,5,9,8]
[9,7,5,3,1,8,6,4,2]=>[3,5,4,7,6,9,8,2,1]
[9,6,3,8,5,2,7,4,1]=>[4,7,5,8,6,9,1,3,2]
[8,5,2,9,6,3,7,4,1]=>[4,7,5,8,6,9,3,1,2]
[9,5,1,6,2,7,3,8,4]=>[5,9,6,7,8,2,3,4,1]
[9,5,1,8,4,7,3,6,2]=>[5,9,6,7,8,4,1,2,3]
[8,4,7,3,6,2,9,5,1]=>[5,9,6,7,8,4,1,3,2]
[7,3,8,4,6,2,9,5,1]=>[5,9,6,7,8,1,4,3,2]
[9,4,7,2,5,8,3,6,1]=>[6,7,8,9,2,3,4,5,1]
[9,4,6,1,8,3,5,7,2]=>[6,7,8,9,3,4,5,1,2]
[8,3,5,7,2,9,4,6,1]=>[6,7,8,9,3,4,5,2,1]
[7,2,8,3,9,4,5,6,1]=>[6,7,8,9,4,5,2,3,1]
[8,3,7,2,9,4,5,6,1]=>[6,7,8,9,4,5,3,2,1]
[5,8,3,7,2,9,4,6,1]=>[6,7,8,9,5,4,3,2,1]
[4,5,6,9,3,8,2,7,1]=>[7,8,9,4,5,6,2,3,1]
[4,5,6,8,2,9,3,7,1]=>[7,8,9,4,5,6,3,2,1]
[9,3,6,5,4,7,1,8,2]=>[7,8,9,5,6,3,4,1,2]
[8,2,9,3,6,5,4,7,1]=>[7,8,9,5,6,3,4,2,1]
[6,5,4,8,2,9,3,7,1]=>[7,8,9,5,6,4,3,2,1]
[5,6,4,8,2,9,3,7,1]=>[7,8,9,6,5,4,3,2,1]
[9,2,7,4,5,6,3,8,1]=>[8,9,6,7,4,5,2,3,1]
[7,4,5,6,3,9,2,8,1]=>[8,9,6,7,4,5,3,2,1]
[5,7,4,6,3,9,2,8,1]=>[8,9,6,7,5,4,3,2,1]
[4,2,5,6,7,8,9,1,3]=>[9,4,1,2,5,6,7,8,3]
[1,5,6,7,8,9,3,4,2]=>[1,4,9,3,5,6,7,8,2]
[1,3,6,7,8,9,2,5,4]=>[1,9,3,5,2,6,7,8,4]
[3,1,6,7,8,9,4,5,2]=>[3,5,1,9,4,6,7,8,2]
[8,4,5,6,7,2,1,9,3]=>[2,7,9,8,4,5,6,1,3]
[4,2,1,7,8,9,3,6,5]=>[2,4,9,1,6,3,7,8,5]
[9,2,5,6,7,8,3,1,4]=>[3,8,9,2,1,5,6,7,4]
[3,4,1,7,8,9,5,6,2]=>[4,6,3,1,9,5,7,8,2]
[1,9,6,7,8,3,4,5,2]=>[1,5,8,3,4,9,6,7,2]
[7,4,5,6,2,8,1,9,3]=>[8,6,9,7,4,5,2,1,3]
[4,2,5,1,8,9,3,7,6]=>[5,4,9,2,1,7,3,8,6]
[1,3,2,8,9,4,6,7,5]=>[1,3,2,9,7,4,6,8,5]
[8,2,5,6,7,3,9,1,4]=>[9,8,7,1,2,5,6,3,4]
[5,6,7,9,1,2,3,4,8]=>[9,1,2,3,5,6,7,4,8]
[4,5,6,7,9,1,2,3,8]=>[9,1,2,4,5,6,7,3,8]
[7,6,9,1,2,3,4,5,8]=>[9,1,2,3,4,7,6,5,8]
[6,5,7,9,1,2,3,4,8]=>[9,1,2,3,6,5,7,4,8]
[5,4,6,7,9,1,2,3,8]=>[9,1,2,5,4,6,7,3,8]
[4,3,5,6,7,9,1,2,8]=>[9,1,4,3,5,6,7,2,8]
[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2]
[5,4,6,3,8,2,7,1,9]=>[7,8,6,5,4,3,2,1,9]
[1,6,5,7,4,9,3,8,2]=>[1,8,9,7,6,5,4,3,2]
[5,4,8,3,6,2,7,1,9]=>[7,6,8,5,4,3,2,1,9]
[5,4,7,3,8,2,6,1,9]=>[6,8,7,5,4,2,3,1,9]
[1,6,5,9,4,7,3,8,2]=>[1,8,7,9,6,5,4,3,2]
[1,6,5,8,4,9,3,7,2]=>[1,7,9,8,6,5,3,4,2]
[1,2,3,5,7,9,4,6,8]=>[1,2,3,9,5,4,7,6,8]
[1,2,4,6,8,3,5,7,9]=>[1,2,8,4,3,6,5,7,9]
[3,4,5,6,7,8,2,1,9]=>[2,8,3,4,5,6,7,1,9]
[3,4,5,6,7,2,1,8,9]=>[2,7,3,4,5,6,1,8,9]
[4,5,6,7,8,1,2,3,9]=>[8,1,2,4,5,6,7,3,9]
[4,5,6,8,7,1,2,3,9]=>[7,1,2,4,5,6,8,3,9]
[4,5,7,6,8,1,2,3,9]=>[8,1,2,4,5,7,6,3,9]
[1,5,6,7,9,8,2,3,4]=>[1,8,2,3,5,6,7,9,4]
[1,5,6,8,7,9,2,3,4]=>[1,9,2,3,5,6,8,7,4]
[2,8,3,4,5,6,7,9,1]=>[9,2,8,3,4,5,6,7,1]
[2,3,7,4,5,6,8,9,1]=>[9,2,3,7,4,5,6,8,1]
[2,3,4,1,5,7,8,9,6]=>[4,2,3,1,5,9,7,8,6]
[4,3,1,2,6,5,8,7,9]=>[3,1,4,2,6,5,8,7,9]
[6,5,3,1,2,4,8,7,9]=>[3,1,5,2,6,4,8,7,9]
[8,7,5,3,1,2,4,6,9]=>[3,1,5,2,7,4,8,6,9]
[7,5,3,1,2,4,6,9,8]=>[3,1,5,2,7,4,6,9,8]
[5,3,1,2,4,7,6,9,8]=>[3,1,5,2,4,7,6,9,8]
[4,1,2,6,5,3,8,7,9]=>[4,1,5,2,6,3,8,7,9]
[6,3,1,2,4,8,7,5,9]=>[3,1,6,2,7,4,8,5,9]
[8,5,3,1,2,4,6,9,7]=>[3,1,5,2,8,4,9,6,7]
[7,5,3,1,2,4,6,8,9]=>[3,1,5,2,7,4,6,8,9]
[5,3,1,2,4,9,7,6,8]=>[3,1,5,2,4,7,9,6,8]
[3,1,2,7,5,4,6,9,8]=>[3,1,2,5,7,4,6,9,8]
[1,5,3,2,4,7,6,9,8]=>[1,3,5,2,4,7,6,9,8]
[9,3,8,7,6,5,1,4,2]=>[5,4,6,3,7,8,9,1,2]
[2,9,8,7,6,5,1,4,3]=>[5,2,4,1,6,7,8,9,3]
[7,3,9,8,6,1,5,4,2]=>[6,4,5,8,2,7,1,9,3]
[9,7,4,8,6,1,5,3,2]=>[6,3,5,8,4,7,9,1,2]
[6,3,9,8,1,7,5,4,2]=>[8,4,5,7,6,3,1,9,2]
[1,2,9,3,8,4,7,5,6]=>[1,2,9,8,7,5,4,3,6]
[1,7,2,8,3,6,4,5,9]=>[1,7,8,6,4,3,2,5,9]
[1,2,8,3,9,4,7,5,6]=>[1,2,8,9,7,5,4,3,6]
[1,7,2,6,3,8,4,5,9]=>[1,7,6,8,4,2,3,5,9]
[1,6,3,7,2,8,4,5,9]=>[1,7,6,8,4,3,2,5,9]
[1,2,8,3,7,4,9,5,6]=>[1,2,8,7,9,5,3,4,6]
[1,2,7,4,8,3,9,5,6]=>[1,2,8,7,9,5,4,3,6]
[1,7,6,5,4,3,2,9,8]=>[1,3,4,5,6,7,2,9,8]
[6,7,3,1,8,2,4,9,5]=>[3,7,8,1,9,6,2,4,5]
[2,6,7,3,1,4,8,5,9]=>[3,2,7,1,8,6,4,5,9]
[2,7,4,5,1,8,3,9,6]=>[5,2,8,7,4,9,1,3,6]
[3,2,7,8,4,1,5,9,6]=>[4,3,2,8,1,9,7,5,6]
[1,7,8,9,6,5,4,3,2]=>[1,3,4,5,6,9,7,8,2]
[1,6,7,8,9,5,4,3,2]=>[1,3,4,5,9,6,7,8,2]
[1,5,6,7,8,9,4,3,2]=>[1,3,4,9,5,6,7,8,2]
[1,4,5,6,7,8,9,3,2]=>[1,3,9,4,5,6,7,8,2]
[1,7,6,8,9,5,4,3,2]=>[1,3,4,5,9,7,6,8,2]
[1,6,5,7,8,9,4,3,2]=>[1,3,4,9,6,5,7,8,2]
[1,5,4,6,7,8,9,3,2]=>[1,3,9,5,4,6,7,8,2]
[8,2,9,1,3,4,5,6,7]=>[9,8,1,3,4,5,6,2,7]
[7,2,8,9,1,3,4,5,6]=>[9,7,1,3,4,5,2,8,6]
[7,9,2,8,1,3,4,5,6]=>[8,9,1,3,4,5,7,2,6]
[9,7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,9,2,6]
[9,8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,9,6]
[6,9,2,7,8,1,3,4,5]=>[8,9,1,3,4,6,2,7,5]
[9,6,2,7,8,1,3,4,5]=>[8,6,1,3,4,9,2,7,5]
[8,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,8,2,6,5]
[9,8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,9,5]
[9,8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,9,5]
[5,8,9,2,6,7,1,3,4]=>[7,9,1,3,5,2,6,8,4]
[8,5,9,2,6,7,1,3,4]=>[7,9,1,3,8,2,6,5,4]
[9,8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,9,4]
[7,9,5,8,2,6,1,3,4]=>[6,8,1,3,9,2,7,5,4]
[9,7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,9,5,4]
[9,8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,9,4]
[9,8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,9,4]
[9,8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,9,3]
[9,8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,9,3]
[9,7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,9,7,1]
[3,5,6,7,8,1,9,2,4]=>[8,9,3,2,5,6,7,1,4]
[3,4,6,7,1,8,9,2,5]=>[7,9,3,4,2,6,1,8,5]
[3,4,5,1,7,8,9,2,6]=>[5,9,3,4,1,2,7,8,6]
[3,4,1,5,6,8,9,2,7]=>[4,9,3,1,5,6,2,8,7]
[7,6,5,4,8,3,2,1,9]=>[2,3,8,5,6,7,4,1,9]
[7,5,6,8,4,3,2,1,9]=>[2,3,4,8,7,5,6,1,9]
[7,6,4,5,8,3,2,1,9]=>[2,3,8,6,4,7,5,1,9]
[7,6,5,3,4,8,2,1,9]=>[2,8,5,3,6,7,4,1,9]
[7,6,5,4,2,3,8,1,9]=>[8,4,2,5,6,7,3,1,9]
[3,2,5,6,7,8,9,1,4]=>[9,3,2,1,5,6,7,8,4]
[4,2,5,6,7,8,9,3,1]=>[3,9,4,1,5,6,7,8,2]
[1,2,5,6,7,4,8,9,3]=>[1,2,9,7,5,6,4,8,3]
[9,8,7,1,5,4,3,2,6]=>[7,3,4,5,1,2,8,9,6]
[5,8,7,6,4,9,3,2,1]=>[2,3,9,6,5,7,8,4,1]
[4,8,7,6,5,3,9,2,1]=>[2,9,5,4,6,7,8,3,1]
[9,8,6,1,5,4,3,2,7]=>[6,3,4,5,1,8,2,9,7]
[9,8,7,5,1,4,3,2,6]=>[5,3,4,1,7,2,8,9,6]
[1,3,4,5,6,7,2,8,9]=>[1,7,3,4,5,6,2,8,9]
[2,3,4,7,8,9,1,5,6]=>[9,2,3,4,1,5,7,8,6]
[2,3,6,7,8,9,1,4,5]=>[9,2,3,1,4,6,7,8,5]
[2,5,6,7,8,9,1,3,4]=>[9,2,1,3,5,6,7,8,4]
[2,3,4,5,1,9,6,7,8]=>[5,2,3,4,1,9,6,7,8]
[2,3,4,1,8,9,5,6,7]=>[4,2,3,1,9,5,6,8,7]
[2,3,1,7,8,9,4,5,6]=>[3,2,1,9,4,5,7,8,6]
[2,1,6,7,8,9,3,4,5]=>[2,1,9,3,4,6,7,8,5]
[4,1,2,3,6,5,8,7,9]=>[4,1,2,3,6,5,8,7,9]
[4,1,6,2,3,5,8,7,9]=>[4,6,2,1,3,5,8,7,9]
[1,7,2,3,4,5,8,6,9]=>[1,7,2,3,4,8,5,6,9]
[6,1,2,3,4,5,8,7,9]=>[6,1,2,3,4,5,8,7,9]
[2,3,1,9,8,7,6,5,4]=>[3,2,1,5,6,7,8,9,4]
[3,4,2,1,9,8,7,6,5]=>[2,4,3,1,6,7,8,9,5]
[4,5,3,2,1,9,8,7,6]=>[2,3,5,4,1,7,8,9,6]
[5,6,4,3,2,1,9,8,7]=>[2,3,4,6,5,1,8,9,7]
[6,7,5,4,3,2,1,9,8]=>[2,3,4,5,7,6,1,9,8]
[3,4,5,2,6,7,8,9,1]=>[9,5,3,4,2,6,7,8,1]
[3,4,5,6,7,2,8,9,1]=>[9,7,3,4,5,6,2,8,1]
[3,5,2,1,6,7,8,9,4]=>[2,5,3,9,1,6,7,8,4]
[3,4,6,2,1,7,8,9,5]=>[2,6,3,4,9,1,7,8,5]
[3,4,5,7,1,2,8,9,6]=>[7,1,3,4,5,9,2,8,6]
[3,4,5,6,8,2,1,9,7]=>[2,8,3,4,5,6,9,1,7]
[3,4,5,6,7,9,2,1,8]=>[2,9,3,4,5,6,7,1,8]
[3,5,6,2,4,7,8,9,1]=>[9,6,3,2,5,4,7,8,1]
[3,4,6,7,1,5,8,9,2]=>[7,9,3,4,1,6,5,8,2]
[3,6,2,1,4,7,8,9,5]=>[2,6,3,1,9,4,7,8,5]
[3,4,5,7,8,2,6,9,1]=>[9,8,3,4,5,2,7,6,1]
[3,4,7,2,1,5,8,9,6]=>[2,7,3,4,1,9,5,8,6]
[3,4,5,6,8,9,2,7,1]=>[7,9,3,4,5,6,2,8,1]
[3,4,5,6,9,2,1,7,8]=>[2,9,3,4,5,6,1,7,8]
[3,4,5,6,1,7,2,9,8]=>[6,7,3,4,5,1,2,9,8]
[1,4,5,9,6,7,2,8,3]=>[1,7,8,4,5,9,6,2,3]
[2,4,5,9,6,1,7,3,8]=>[6,2,9,4,5,7,3,1,8]
[3,4,5,7,6,1,9,2,8]=>[6,7,3,4,5,9,2,1,8]
[3,5,6,9,7,1,8,2,4]=>[7,9,3,1,5,6,8,2,4]
[1,4,8,5,6,2,7,9,3]=>[1,6,9,4,8,5,2,7,3]
[2,5,9,6,7,3,1,4,8]=>[3,2,7,1,5,9,6,4,8]
[4,1,5,2,7,6,3,9,8]=>[4,5,6,1,2,7,3,9,8]
[3,4,1,6,9,5,7,2,8]=>[4,7,3,1,9,6,5,2,8]
[6,7,9,8,1,3,4,2,5]=>[8,4,1,3,2,6,7,9,5]
[9,1,5,2,8,6,3,7,4]=>[9,5,6,8,1,7,4,2,3]
[1,7,4,5,2,6,8,9,3]=>[1,5,9,7,4,2,6,8,3]
[9,2,3,4,5,6,1,8,7]=>[6,9,2,3,4,5,8,1,7]
[9,2,3,4,5,1,7,8,6]=>[5,9,2,3,4,8,1,7,6]
[9,2,3,4,1,6,7,8,5]=>[4,9,2,3,8,1,6,7,5]
[9,2,3,1,5,6,7,8,4]=>[3,9,2,8,1,5,6,7,4]
[9,2,1,4,5,6,7,8,3]=>[2,9,8,1,4,5,6,7,3]
[5,2,3,4,1,9,6,8,7]=>[4,5,2,3,1,9,8,6,7]
[4,2,3,1,9,5,7,8,6]=>[3,4,2,1,9,8,5,7,6]
[3,2,1,9,4,6,7,8,5]=>[2,3,1,9,8,4,6,7,5]
[2,1,9,3,5,6,7,8,4]=>[2,1,9,8,3,5,6,7,4]
[3,8,1,2,4,5,6,7,9]=>[8,1,3,2,4,5,6,7,9]
[1,2,8,3,4,5,9,6,7]=>[1,2,8,3,4,9,6,5,7]
[7,8,1,2,3,4,9,5,6]=>[8,1,2,3,9,5,7,4,6]
[3,8,9,1,2,4,5,6,7]=>[9,1,3,2,4,5,6,8,7]
[3,7,1,2,4,5,6,8,9]=>[7,1,3,2,4,5,6,8,9]
[6,8,9,1,2,3,4,5,7]=>[9,1,2,3,4,6,5,8,7]
[6,1,8,2,3,4,5,7,9]=>[6,8,2,3,4,1,5,7,9]
[5,8,1,2,3,4,6,7,9]=>[8,1,2,3,5,4,6,7,9]
[5,8,9,1,2,3,4,6,7]=>[9,1,2,3,5,4,6,8,7]
[2,3,4,5,1,7,6,9,8]=>[5,2,3,4,1,7,6,9,8]
[2,3,4,1,6,5,8,7,9]=>[4,2,3,1,6,5,8,7,9]
[2,3,4,5,1,8,6,9,7]=>[5,2,3,4,1,8,9,6,7]
[2,3,4,1,7,5,8,6,9]=>[4,2,3,1,7,8,5,6,9]
[3,4,5,6,7,9,1,8,2]=>[9,8,3,4,5,6,7,1,2]
[3,4,5,6,7,9,2,8,1]=>[8,9,3,4,5,6,7,2,1]
[3,4,5,6,7,1,9,8,2]=>[7,8,3,4,5,6,1,9,2]
[5,3,4,2,1,9,8,7,6]=>[2,4,5,3,1,7,8,9,6]
[6,5,3,4,2,1,9,8,7]=>[2,4,5,3,6,1,8,9,7]
[7,6,4,5,3,2,1,9,8]=>[2,3,5,6,4,7,1,9,8]
[8,7,2,3,4,5,6,1,9]=>[6,7,2,3,4,5,8,1,9]
[1,9,8,3,4,5,6,7,2]=>[1,7,8,3,4,5,6,9,2]
[8,1,7,3,4,5,6,2,9]=>[8,6,7,3,4,5,1,2,9]
[8,6,2,3,4,5,1,7,9]=>[5,6,2,3,4,8,1,7,9]
[1,9,2,8,4,5,6,7,3]=>[1,9,7,8,4,5,6,2,3]
[1,9,7,3,4,5,6,2,8]=>[1,6,7,3,4,5,9,2,8]
[3,4,5,1,2,6,7,8,9]=>[5,1,3,4,2,6,7,8,9]
[2,4,1,5,3,6,8,7,9]=>[4,2,5,1,3,6,8,7,9]
[2,4,1,7,3,8,5,6,9]=>[4,2,7,1,8,5,3,6,9]
[8,5,9,3,6,1,2,4,7]=>[6,1,9,2,8,3,4,5,7]
[9,7,1,5,8,3,6,2,4]=>[7,6,9,2,3,1,8,5,4]
[9,7,5,4,1,3,8,2,6]=>[4,5,2,7,9,1,8,3,6]
[9,6,5,4,3,2,1,7,8]=>[2,3,4,5,6,9,1,7,8]
[9,8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,9,7]
[9,1,2,3,4,5,8,7,6]=>[9,1,2,3,4,7,8,5,6]
[9,1,2,3,4,8,6,7,5]=>[9,1,2,3,7,8,6,4,5]
[9,1,2,8,4,5,6,7,3]=>[9,1,7,8,4,5,6,2,3]
[9,1,8,3,4,5,6,7,2]=>[9,7,8,3,4,5,6,1,2]
[9,1,2,3,4,7,8,6,5]=>[9,1,2,3,6,8,4,7,5]
[9,1,2,3,6,8,5,7,4]=>[9,1,2,7,8,3,5,6,4]
[9,1,2,5,8,4,6,7,3]=>[9,1,7,8,2,4,6,5,3]
[9,1,4,8,3,5,6,7,2]=>[9,7,8,1,3,5,6,4,2]
[9,3,8,2,4,5,6,7,1]=>[7,8,9,2,4,5,6,3,1]
[1,2,3,4,5,9,8,6,7]=>[1,2,3,4,5,8,6,9,7]
[1,2,3,4,9,8,7,5,6]=>[1,2,3,4,7,5,8,9,6]
[1,2,3,9,8,7,6,4,5]=>[1,2,3,6,4,7,8,9,5]
[1,2,9,8,7,6,5,3,4]=>[1,2,5,3,6,7,8,9,4]
[3,4,5,9,2,1,6,7,8]=>[2,9,3,4,5,1,6,7,8]
[3,4,9,2,1,5,6,7,8]=>[2,9,3,4,1,5,6,7,8]
[3,9,2,1,4,5,6,7,8]=>[2,9,3,1,4,5,6,7,8]
[3,4,5,6,8,9,1,7,2]=>[9,7,3,4,5,6,1,8,2]
[3,4,5,7,8,9,1,6,2]=>[9,6,3,4,5,1,7,8,2]
[3,4,6,7,8,9,1,5,2]=>[9,5,3,4,1,6,7,8,2]
[3,5,6,7,8,9,1,4,2]=>[9,4,3,1,5,6,7,8,2]
[4,5,6,7,8,9,1,3,2]=>[9,3,1,4,5,6,7,8,2]
[3,4,5,6,2,9,1,8,7]=>[9,6,3,4,5,2,8,1,7]
[3,4,5,2,8,9,1,7,6]=>[9,5,3,4,2,7,1,8,6]
[3,4,2,7,8,9,1,6,5]=>[9,4,3,2,6,1,7,8,5]
[3,2,6,7,8,9,1,5,4]=>[9,3,2,5,1,6,7,8,4]
[2,5,6,7,8,9,1,4,3]=>[9,2,4,1,5,6,7,8,3]
[2,3,4,7,5,8,6,9,1]=>[9,2,3,4,7,8,5,6,1]
[3,4,5,8,6,9,2,7,1]=>[7,9,3,4,5,8,2,6,1]
[3,4,7,5,8,1,6,9,2]=>[8,9,3,4,7,1,5,6,2]
[2,3,4,8,5,1,9,6,7]=>[5,2,3,4,8,9,6,1,7]
[4,5,8,1,6,9,7,2,3]=>[8,7,2,4,5,1,9,6,3]
[3,4,5,9,7,2,6,1,8]=>[6,7,3,4,5,2,9,1,8]
[4,7,5,8,1,2,6,9,3]=>[8,1,9,4,7,2,5,6,3]
[6,3,7,4,8,5,2,9,1]=>[9,5,8,6,7,4,2,3,1]
[2,3,6,4,1,8,9,5,7]=>[4,2,3,6,9,1,5,8,7]
[5,8,1,6,9,3,7,2,4]=>[8,7,9,2,5,1,3,6,4]
[7,4,8,5,9,6,2,3,1]=>[3,6,2,9,7,8,5,1,4]
[3,4,7,5,9,2,1,6,8]=>[2,9,3,4,7,1,5,6,8]
[5,4,2,3,6,7,8,9,1]=>[9,4,2,5,3,6,7,8,1]
[6,5,4,2,3,7,8,9,1]=>[9,4,2,5,6,3,7,8,1]
[7,6,5,4,2,3,8,9,1]=>[9,4,2,5,6,7,3,8,1]
[1,2,8,9,7,6,5,4,3]=>[1,2,4,5,6,7,9,8,3]
[1,7,6,5,4,3,2,8,9]=>[1,3,4,5,6,7,2,8,9]
[1,2,8,7,6,5,4,3,9]=>[1,2,4,5,6,7,8,3,9]
[4,6,7,8,9,1,2,3,5]=>[9,1,2,4,3,6,7,8,5]
[5,7,8,9,1,2,3,4,6]=>[9,1,2,3,5,4,7,8,6]
[3,5,6,4,7,2,8,1,9]=>[8,7,3,6,5,4,2,1,9]
[5,3,2,6,7,4,8,1,9]=>[8,3,5,7,2,6,4,1,9]
[5,3,6,2,1,7,8,4,9]=>[2,6,5,8,3,1,7,4,9]
[6,4,7,3,8,2,9,1,5]=>[9,8,7,6,1,4,3,2,5]
[6,4,7,3,8,2,5,9,1]=>[9,8,7,6,2,4,3,5,1]
[6,4,7,3,5,8,2,9,1]=>[9,8,7,6,3,4,5,2,1]
[6,4,5,7,3,8,2,9,1]=>[9,8,7,6,4,5,3,2,1]
[2,4,3,6,7,5,8,1,9]=>[8,2,4,3,7,6,5,1,9]
[4,2,1,5,3,7,8,6,9]=>[2,4,5,1,3,8,7,6,9]
[5,3,6,2,1,7,9,4,8]=>[2,6,5,9,3,1,7,4,8]
[5,3,6,2,7,1,4,8,9]=>[7,6,5,1,3,2,4,8,9]
[6,4,7,3,5,8,9,1,2]=>[9,1,7,6,3,4,5,8,2]
[6,4,5,7,8,2,3,9,1]=>[9,8,2,6,4,5,7,3,1]
[5,6,7,3,4,8,2,9,1]=>[9,8,7,3,5,6,4,2,1]
[7,5,1,3,2,6,4,8,9]=>[5,3,1,7,6,4,2,8,9]
[9,6,1,3,4,2,7,8,5]=>[6,4,1,3,9,8,5,7,2]
[8,3,6,1,4,2,7,5,9]=>[6,4,8,1,7,3,2,5,9]
[9,8,1,7,2,3,4,5,6]=>[8,7,2,3,4,5,1,9,6]
[9,3,4,7,1,5,2,8,6]=>[7,5,9,3,1,8,4,2,6]
[8,7,5,4,6,3,2,9,1]=>[9,3,6,5,7,4,8,2,1]
[8,7,4,6,5,3,2,9,1]=>[9,3,5,6,7,2,8,4,1]
[2,3,4,7,8,9,6,5,1]=>[5,2,3,4,6,9,7,8,1]
[2,3,6,7,8,9,5,4,1]=>[4,2,3,5,9,6,7,8,1]
[2,5,6,7,8,9,4,3,1]=>[3,2,4,9,5,6,7,8,1]
[2,3,4,5,6,1,9,8,7]=>[6,2,3,4,5,1,8,9,7]
[2,3,4,5,1,9,8,7,6]=>[5,2,3,4,1,7,8,9,6]
[2,3,4,1,8,9,7,6,5]=>[4,2,3,1,6,7,9,8,5]
[2,3,1,7,8,9,6,5,4]=>[3,2,1,5,6,9,7,8,4]
[2,1,6,7,8,9,5,4,3]=>[2,1,4,5,9,6,7,8,3]
[9,3,1,4,5,6,7,8,2]=>[3,9,8,2,4,5,6,7,1]
[8,9,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,9,8,2]
[8,6,7,5,4,3,2,1,9]=>[2,3,4,5,7,8,6,1,9]
[8,7,9,6,5,4,3,1,2]=>[3,1,4,5,6,9,8,7,2]
[9,7,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,9,7,2]
[8,7,5,4,3,6,9,2,1]=>[2,9,4,5,7,3,8,6,1]
[8,7,6,9,5,3,4,2,1]=>[2,4,5,3,9,7,8,6,1]
[8,7,9,6,5,4,2,3,1]=>[3,4,2,5,6,9,8,7,1]
[3,2,1,5,6,7,8,9,4]=>[2,3,1,9,5,6,7,8,4]
[3,2,6,1,4,7,8,9,5]=>[6,3,2,1,9,4,7,8,5]
[4,3,2,1,6,7,8,9,5]=>[2,3,4,1,9,6,7,8,5]
[3,2,7,8,1,4,5,9,6]=>[8,3,2,1,4,9,7,5,6]
[4,7,2,5,1,3,8,9,6]=>[5,7,1,4,2,9,3,8,6]
[4,3,2,7,1,5,8,9,6]=>[7,3,4,2,1,9,5,8,6]
[5,4,3,2,1,7,8,9,6]=>[2,3,4,5,1,9,7,8,6]
[4,3,2,8,9,1,5,6,7]=>[9,3,4,2,1,5,6,8,7]
[8,5,6,3,4,1,2,9,7]=>[4,1,6,3,8,5,9,2,7]
[5,3,8,2,6,1,4,9,7]=>[6,8,5,1,3,2,9,4,7]
[5,4,3,2,8,1,6,9,7]=>[8,3,4,5,2,1,9,6,7]
[6,5,4,3,2,1,8,9,7]=>[2,3,4,5,6,1,9,8,7]
[6,9,4,7,2,5,1,3,8]=>[5,7,1,9,2,6,4,3,8]
[6,4,3,9,2,7,1,5,8]=>[7,9,4,6,1,3,2,5,8]
[6,5,4,3,2,9,1,7,8]=>[9,3,4,5,6,2,1,7,8]
[7,6,9,5,4,3,2,1,8]=>[2,3,4,5,9,7,6,1,8]
[2,3,4,9,6,7,8,5,1]=>[5,2,3,4,8,9,6,7,1]
[2,3,9,5,6,7,8,4,1]=>[4,2,3,8,9,5,6,7,1]
[2,9,4,5,6,7,8,3,1]=>[3,2,8,9,4,5,6,7,1]
[9,3,4,5,6,7,8,2,1]=>[2,8,9,3,4,5,6,7,1]
[2,3,4,1,9,7,8,6,5]=>[4,2,3,1,6,8,9,7,5]
[2,3,1,9,6,7,8,5,4]=>[3,2,1,5,8,9,6,7,4]
[2,1,9,5,6,7,8,4,3]=>[2,1,4,8,9,5,6,7,3]
[1,9,4,5,6,7,8,3,2]=>[1,3,8,9,4,5,6,7,2]
[5,6,4,7,3,9,1,8,2]=>[9,8,7,6,5,4,3,1,2]
[5,6,4,9,1,8,2,7,3]=>[9,8,7,6,5,4,2,1,3]
[5,9,1,8,2,7,3,6,4]=>[9,8,7,6,5,3,2,1,4]
[9,1,8,2,7,3,6,4,5]=>[9,8,7,6,4,3,2,1,5]
[5,4,9,1,8,2,7,3,6]=>[9,8,7,5,4,3,2,1,6]
[5,4,6,3,9,1,8,2,7]=>[9,8,6,5,4,3,2,1,7]
[5,4,6,3,7,2,9,1,8]=>[9,7,6,5,4,3,2,1,8]
[5,6,4,8,2,9,1,7,3]=>[9,8,7,6,5,4,1,2,3]
[5,7,3,9,1,8,2,6,4]=>[9,8,7,6,5,2,3,1,4]
[6,4,9,1,8,2,7,3,5]=>[9,8,7,6,3,4,2,1,5]
[4,5,9,1,8,2,7,3,6]=>[9,8,7,4,5,3,2,1,6]
[6,4,5,3,9,1,8,2,7]=>[9,8,5,6,4,3,2,1,7]
[5,4,7,3,6,2,9,1,8]=>[9,6,7,5,4,3,2,1,8]
[5,4,3,2,1,8,9,7,6]=>[2,3,4,5,1,7,9,8,6]
[4,3,2,1,8,9,7,6,5]=>[2,3,4,1,6,7,9,8,5]
[3,2,1,8,9,7,6,5,4]=>[2,3,1,5,6,7,9,8,4]
[2,1,8,9,7,6,5,4,3]=>[2,1,4,5,6,7,9,8,3]
[9,8,3,4,5,6,7,1,2]=>[7,1,8,3,4,5,6,9,2]
[9,8,2,3,4,5,6,1,7]=>[6,8,2,3,4,5,1,9,7]
[9,4,5,6,7,8,2,1,3]=>[2,8,1,9,4,5,6,7,3]
[9,3,4,5,6,7,2,1,8]=>[2,7,9,3,4,5,6,1,8]
[7,2,9,8,3,4,5,6,1]=>[6,7,8,3,4,5,2,9,1]
[9,8,2,3,4,5,1,6,7]=>[5,8,2,3,4,1,6,9,7]
[9,5,6,7,8,2,1,3,4]=>[2,8,1,3,9,5,6,7,4]
[8,3,9,4,5,6,7,2,1]=>[2,7,8,9,4,5,6,3,1]
[9,3,4,5,6,2,1,7,8]=>[2,6,9,3,4,5,1,7,8]
[5,8,7,6,4,3,2,1,9]=>[2,3,4,6,5,7,8,1,9]
[5,8,9,7,6,4,3,2,1]=>[2,3,4,6,5,7,9,8,1]
[1,7,4,2,8,5,3,9,6]=>[1,4,7,5,8,9,3,2,6]
[1,9,6,3,8,5,2,7,4]=>[1,5,8,6,9,7,3,2,4]
[1,9,6,3,7,4,2,8,5]=>[1,4,7,6,9,8,5,3,2]
[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5]
[1,9,5,2,6,3,7,4,8]=>[1,5,9,6,7,3,4,2,8]
[1,8,4,7,3,6,2,9,5]=>[1,6,7,8,9,3,4,2,5]
[1,9,5,2,8,4,7,3,6]=>[1,5,9,7,8,4,2,3,6]
[1,9,5,2,8,4,6,3,7]=>[1,5,9,6,8,2,4,3,7]
[1,9,4,7,2,5,8,3,6]=>[1,7,8,9,2,3,4,5,6]
[1,8,3,5,7,2,9,4,6]=>[1,7,8,9,3,4,5,2,6]
[1,9,4,6,2,8,3,5,7]=>[1,6,8,9,3,4,5,2,7]
[1,9,4,5,6,2,7,3,8]=>[1,6,7,9,4,5,2,3,8]
[1,9,4,5,6,2,8,3,7]=>[1,6,8,9,4,5,3,2,7]
[1,9,4,6,2,8,3,7,5]=>[1,6,8,9,7,4,3,2,5]
[1,9,3,8,2,7,4,5,6]=>[1,8,9,7,4,5,2,3,6]
[1,9,3,7,2,8,4,5,6]=>[1,7,9,8,4,5,3,2,6]
[1,8,2,9,3,6,5,4,7]=>[1,8,9,5,6,3,4,2,7]
[1,9,3,6,5,4,7,2,8]=>[1,7,9,5,6,3,4,2,8]
[1,9,3,7,2,8,4,6,5]=>[1,7,9,8,6,4,3,2,5]
[1,9,2,7,4,5,6,3,8]=>[1,9,6,7,4,5,2,3,8]
[1,9,2,8,3,7,4,5,6]=>[1,9,8,7,4,5,3,2,6]
[6,7,1,9,2,3,4,5,8]=>[7,9,2,3,4,6,1,5,8]
[6,1,8,9,2,3,4,5,7]=>[6,9,2,3,4,1,5,8,7]
[3,4,5,6,2,1,7,8,9]=>[2,6,3,4,5,1,7,8,9]
[3,4,5,2,1,6,7,8,9]=>[2,5,3,4,1,6,7,8,9]
[3,4,5,8,9,1,2,6,7]=>[9,1,3,4,5,2,6,8,7]
[3,4,7,8,9,1,2,5,6]=>[9,1,3,4,2,5,7,8,6]
[3,6,7,8,9,1,2,4,5]=>[9,1,3,2,4,6,7,8,5]
[3,4,5,6,1,7,2,8,9]=>[6,7,3,4,5,1,2,8,9]
[3,4,5,1,6,2,7,8,9]=>[5,6,3,4,1,2,7,8,9]
[3,4,1,5,9,2,6,7,8]=>[4,9,3,1,5,2,6,7,8]
[1,3,7,8,9,2,4,5,6]=>[1,9,3,2,4,5,7,8,6]
[2,6,7,8,9,1,3,4,5]=>[9,2,1,3,4,6,7,8,5]
[8,5,1,2,3,4,9,6,7]=>[5,1,2,3,8,9,6,4,7]
[8,2,1,9,3,4,5,6,7]=>[2,8,9,3,4,5,6,1,7]
[8,6,1,2,3,4,9,5,7]=>[6,1,2,3,8,9,4,5,7]
[9,5,1,2,3,8,4,6,7]=>[5,1,2,9,8,3,6,4,7]
[8,6,5,1,2,3,4,9,7]=>[5,1,2,3,6,8,9,4,7]
[8,5,4,1,2,3,9,6,7]=>[4,1,2,5,8,9,6,3,7]
[8,3,1,9,2,4,5,6,7]=>[3,8,9,1,4,5,6,2,7]
[9,4,3,1,2,8,5,6,7]=>[3,1,4,9,8,5,6,2,7]
[8,3,2,1,9,4,5,6,7]=>[2,3,8,9,4,5,6,1,7]
[6,1,5,2,4,3,7,8,9]=>[6,5,4,2,1,3,7,8,9]
[2,5,1,4,3,6,7,8,9]=>[5,2,4,1,3,6,7,8,9]
[8,1,7,2,6,3,5,4,9]=>[8,7,6,5,3,2,1,4,9]
[2,7,1,6,3,5,4,8,9]=>[7,2,6,5,3,1,4,8,9]
[3,4,6,1,5,2,7,8,9]=>[6,5,3,4,1,2,7,8,9]
[3,2,6,1,5,4,7,8,9]=>[6,3,2,5,1,4,7,8,9]
[2,9,1,8,3,7,4,6,5]=>[9,2,8,7,6,4,3,1,5]
[3,4,8,1,7,2,6,5,9]=>[8,7,3,4,6,2,1,5,9]
[3,2,8,1,7,4,6,5,9]=>[8,3,2,7,6,4,1,5,9]
[5,7,2,4,1,6,3,8,9]=>[4,7,6,2,5,1,3,8,9]
[3,4,2,7,1,6,5,8,9]=>[7,4,3,2,6,1,5,8,9]
[4,3,5,2,6,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]
[4,5,6,9,1,8,2,7,3]=>[9,8,7,4,5,6,2,1,3]
[5,9,2,4,1,8,3,7,6]=>[4,9,8,2,5,7,3,1,6]
[3,4,2,9,1,8,5,7,6]=>[9,4,3,2,8,7,5,1,6]
[6,3,5,4,8,1,7,2,9]=>[8,7,6,5,3,4,1,2,9]
[3,6,8,2,5,1,7,4,9]=>[5,8,3,7,2,6,1,4,9]
[4,3,5,2,8,1,7,6,9]=>[8,5,4,3,2,7,1,6,9]
[4,5,3,6,2,7,1,8,9]=>[7,6,5,4,3,2,1,8,9]
[4,7,2,9,5,6,1,8,3]=>[6,7,8,4,9,5,2,1,3]
[4,3,7,9,2,6,1,8,5]=>[6,9,4,3,8,2,7,1,5]
[4,5,3,6,2,9,1,8,7]=>[9,6,5,4,3,2,8,1,7]
[1,9,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,9,7,2]
[1,9,7,5,4,3,2,6,8]=>[1,3,4,5,7,2,9,6,8]
[1,8,6,4,3,2,5,9,7]=>[1,3,4,6,2,8,9,5,7]
[1,9,7,5,3,2,4,8,6]=>[1,3,5,2,7,9,8,6,4]
[1,9,7,5,3,8,6,4,2]=>[1,4,6,5,8,7,9,3,2]
[1,6,9,7,8,5,4,3,2]=>[1,3,4,5,8,6,9,7,2]
[1,5,9,7,4,3,2,6,8]=>[1,3,4,7,5,2,9,6,8]
[1,4,8,6,3,2,5,9,7]=>[1,3,6,4,2,8,9,5,7]
[1,3,9,7,5,2,4,8,6]=>[1,5,3,2,7,9,8,6,4]
[1,2,9,7,5,3,8,6,4]=>[1,2,5,7,6,9,8,3,4]
[1,9,6,7,8,5,4,3,2]=>[1,3,4,5,8,9,6,7,2]
[1,9,7,4,3,2,5,6,8]=>[1,3,4,7,2,5,9,6,8]
[1,8,6,3,2,4,5,9,7]=>[1,3,6,2,4,8,9,5,7]
[1,5,6,9,7,8,4,3,2]=>[1,3,4,8,5,6,9,7,2]
[1,9,7,5,2,3,4,8,6]=>[1,5,2,3,7,9,8,6,4]
[1,4,5,9,7,3,2,6,8]=>[1,3,7,4,5,2,9,6,8]
[1,9,7,5,2,3,8,6,4]=>[1,5,2,7,6,9,8,3,4]
[1,3,4,8,6,2,5,9,7]=>[1,6,3,4,2,8,9,5,7]
[1,2,3,9,7,5,4,8,6]=>[1,2,3,5,7,9,8,6,4]
[1,3,5,7,2,8,4,9,6]=>[1,7,3,8,5,9,2,4,6]
[1,3,5,6,2,7,4,9,8]=>[1,6,3,7,5,2,4,9,8]
[1,3,4,5,2,7,6,9,8]=>[1,5,3,4,2,7,6,9,8]
[3,5,7,1,2,4,6,9,8]=>[7,1,3,2,5,4,6,9,8]
[3,5,7,8,1,9,2,4,6]=>[8,9,3,2,5,4,7,1,6]
[3,5,6,7,1,8,2,9,4]=>[7,8,3,9,5,6,1,2,4]
[7,1,2,3,4,9,6,8,5]=>[7,1,2,3,8,9,4,6,5]
[7,1,2,3,4,8,6,9,5]=>[7,1,2,3,9,8,4,6,5]
[8,1,2,3,9,5,6,7,4]=>[8,1,2,7,9,5,6,3,4]
[7,1,2,3,9,5,6,8,4]=>[7,1,2,8,9,5,3,6,4]
[7,1,2,3,8,5,6,9,4]=>[7,1,2,9,8,5,3,6,4]
[6,1,2,3,8,5,9,7,4]=>[6,1,2,7,9,3,8,4,5]
[6,1,2,3,7,5,8,9,4]=>[6,1,2,9,7,3,5,8,4]
[6,1,2,8,4,5,9,7,3]=>[6,1,7,9,3,2,8,5,4]
[6,1,2,7,4,5,8,9,3]=>[6,1,9,7,4,2,5,8,3]
[5,1,2,7,4,9,6,8,3]=>[5,1,8,7,2,9,4,6,3]
[5,1,2,7,4,8,6,9,3]=>[5,1,9,7,2,8,4,6,3]
[5,1,2,6,4,7,8,9,3]=>[5,1,9,6,2,4,7,8,3]
[4,1,6,3,8,5,9,7,2]=>[4,7,6,1,9,3,8,2,5]
[4,1,6,3,7,5,8,9,2]=>[4,9,6,1,7,3,5,8,2]
[4,1,5,3,6,7,8,9,2]=>[4,9,5,1,3,6,7,8,2]
[1,9,8,7,6,4,3,2,5]=>[1,3,4,6,2,7,8,9,5]
[1,9,8,7,5,4,3,2,6]=>[1,3,4,5,7,2,8,9,6]
[1,9,8,6,5,4,3,2,7]=>[1,3,4,5,6,8,2,9,7]
[1,9,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,9,2,8]
[1,9,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,9,4]
[1,9,8,7,6,3,4,2,5]=>[1,4,6,3,2,7,8,9,5]
[1,9,8,7,4,5,3,2,6]=>[1,3,5,7,4,2,8,9,6]
[1,9,8,5,6,4,3,2,7]=>[1,3,4,6,8,5,2,9,7]
[1,9,6,7,5,4,3,2,8]=>[1,3,4,5,7,9,6,2,8]
[1,7,8,6,5,4,3,2,9]=>[1,3,4,5,6,8,7,2,9]
[1,2,3,4,9,7,5,8,6]=>[1,2,3,4,7,9,8,6,5]
[1,2,3,9,6,4,7,8,5]=>[1,2,3,6,9,8,5,7,4]
[1,2,9,5,3,6,7,8,4]=>[1,2,5,9,8,4,6,7,3]
[1,9,4,2,5,6,7,8,3]=>[1,4,9,8,3,5,6,7,2]
[8,9,2,3,4,5,6,1,7]=>[6,9,2,3,4,5,1,8,7]
[7,8,9,2,3,4,5,1,6]=>[5,9,2,3,4,1,7,8,6]
[6,7,8,9,2,3,4,1,5]=>[4,9,2,3,1,6,7,8,5]
[5,6,7,8,9,2,3,1,4]=>[3,9,2,1,5,6,7,8,4]
[7,8,9,2,3,4,1,5,6]=>[4,9,2,3,1,5,7,8,6]
[6,7,8,9,2,3,1,4,5]=>[3,9,2,1,4,6,7,8,5]
[4,5,6,7,8,1,9,2,3]=>[8,9,2,4,5,6,7,1,3]
[7,9,3,4,5,6,2,1,8]=>[2,6,9,3,4,5,7,1,8]
[3,9,2,1,5,6,7,8,4]=>[2,9,3,8,1,5,6,7,4]
[3,8,1,4,5,6,7,2,9]=>[8,7,3,1,4,5,6,2,9]
[6,9,3,4,5,2,7,1,8]=>[7,5,9,3,4,6,2,1,8]
[3,9,2,4,1,6,7,8,5]=>[4,9,3,2,8,1,6,7,5]
[3,8,9,1,5,6,7,4,2]=>[9,4,3,7,1,5,6,8,2]
[3,7,1,4,5,6,2,8,9]=>[7,6,3,1,4,5,2,8,9]
[4,5,6,7,8,2,9,1,3]=>[9,8,1,4,5,6,7,2,3]
[4,5,6,7,8,2,1,3,9]=>[2,8,1,4,5,6,7,3,9]
[3,4,5,6,1,7,8,2,9]=>[6,8,3,4,5,1,7,2,9]
[5,6,7,8,9,3,1,2,4]=>[3,1,9,2,5,6,7,8,4]
[4,5,6,7,2,8,9,1,3]=>[9,7,1,4,5,6,2,8,3]
[2,8,7,6,5,4,3,1,9]=>[3,2,4,5,6,7,8,1,9]
[2,1,4,9,8,7,6,5,3]=>[2,1,5,4,6,7,8,9,3]
[3,7,6,5,4,2,1,9,8]=>[2,4,3,5,6,7,1,9,8]
[3,2,1,6,9,8,7,5,4]=>[2,3,1,5,7,6,8,9,4]
[4,6,5,3,2,1,9,8,7]=>[2,3,5,4,6,1,8,9,7]
[2,9,8,7,6,1,5,4,3]=>[6,2,4,5,1,7,8,9,3]
[4,9,8,7,6,5,2,1,3]=>[2,5,1,4,6,7,8,9,3]
[5,9,8,7,6,2,1,4,3]=>[2,6,4,1,5,7,8,9,3]
[6,9,8,7,2,1,5,4,3]=>[2,7,4,5,1,6,8,9,3]
[7,9,8,2,1,6,5,4,3]=>[2,8,4,5,6,1,7,9,3]
[8,9,2,1,7,6,5,4,3]=>[2,9,4,5,6,7,1,8,3]
[1,4,7,2,8,3,5,9,6]=>[1,7,8,4,3,9,2,5,6]
[1,2,7,3,8,4,5,9,6]=>[1,2,7,8,4,9,3,5,6]
[1,4,5,7,8,2,3,9,6]=>[1,8,2,4,5,9,7,3,6]
[1,2,5,7,8,3,4,9,6]=>[1,2,8,3,5,9,7,4,6]
[1,2,3,7,8,4,5,9,6]=>[1,2,3,8,4,9,7,5,6]
[1,4,7,2,3,5,8,9,6]=>[1,7,2,4,3,9,5,8,6]
[1,2,7,3,4,5,8,9,6]=>[1,2,7,3,4,9,5,8,6]
[1,4,5,7,2,3,8,9,6]=>[1,7,2,4,5,9,3,8,6]
[1,2,5,7,3,4,8,9,6]=>[1,2,7,3,5,9,4,8,6]
[1,2,3,7,4,5,8,9,6]=>[1,2,3,7,4,9,5,8,6]
[1,4,5,6,2,7,8,9,3]=>[1,6,9,4,5,2,7,8,3]
[1,2,5,6,3,7,8,9,4]=>[1,2,6,9,5,3,7,8,4]
[7,8,1,9,2,3,4,5,6]=>[8,9,2,3,4,5,7,1,6]
[6,7,8,1,9,2,3,4,5]=>[8,9,2,3,4,6,7,1,5]
[5,6,7,8,1,9,2,3,4]=>[8,9,2,3,5,6,7,1,4]
[9,1,2,3,4,5,7,6,8]=>[9,1,2,3,4,7,5,6,8]
[2,1,3,4,5,9,6,7,8]=>[2,1,3,4,5,9,6,7,8]
[7,2,6,5,4,3,1,9,8]=>[3,4,5,6,7,1,2,9,8]
[3,2,1,9,5,8,7,6,4]=>[2,3,1,6,7,8,9,5,4]
[6,3,5,4,2,1,9,8,7]=>[2,4,5,6,1,3,8,9,7]
[4,3,2,1,9,7,8,6,5]=>[2,3,4,1,6,8,9,7,5]
[1,2,3,4,6,7,8,5,9]=>[1,2,3,4,8,6,7,5,9]
[9,1,2,3,4,8,6,5,7]=>[9,1,2,3,6,8,5,4,7]
[9,1,2,3,8,5,6,4,7]=>[9,1,2,6,8,5,4,3,7]
[8,1,2,9,4,5,6,3,7]=>[8,1,6,9,4,5,3,2,7]
[9,1,8,3,4,5,6,2,7]=>[9,6,8,3,4,5,2,1,7]
[7,1,2,3,4,9,5,8,6]=>[7,1,2,3,9,8,4,5,6]
[6,1,2,3,8,4,5,9,7]=>[6,1,2,8,4,3,9,5,7]
[5,1,2,8,3,4,6,9,7]=>[5,1,8,3,2,4,9,6,7]
[4,1,9,2,3,5,6,8,7]=>[4,9,2,1,3,5,8,6,7]
[3,8,1,2,4,5,6,9,7]=>[8,1,3,2,4,5,9,6,7]
[8,2,1,3,4,5,6,9,7]=>[2,8,1,3,4,5,9,6,7]
[9,1,2,3,8,5,4,7,6]=>[9,1,2,5,8,7,4,3,6]
[9,1,2,8,4,3,6,7,5]=>[9,1,4,8,7,3,6,2,5]
[6,1,2,3,9,4,7,8,5]=>[6,1,2,9,8,3,4,7,5]
[8,1,9,3,2,5,6,7,4]=>[8,3,9,7,2,5,6,1,4]
[5,1,2,8,3,6,4,9,7]=>[5,1,8,6,2,3,9,4,7]
[9,8,2,1,4,5,6,7,3]=>[2,8,7,1,4,5,6,9,3]
[4,1,8,2,5,3,6,9,7]=>[4,8,5,1,2,3,9,6,7]
[8,1,9,2,3,4,5,7,6]=>[8,9,2,3,4,7,5,1,6]
[3,9,1,4,2,5,6,8,7]=>[9,4,3,1,2,5,8,6,7]
[8,2,3,1,4,5,6,9,7]=>[3,8,2,1,4,5,9,6,7]
[2,3,4,5,7,8,1,9,6]=>[8,2,3,4,5,9,7,1,6]
[1,3,4,5,2,6,7,8,9]=>[1,5,3,4,2,6,7,8,9]
[2,3,4,5,7,9,1,6,8]=>[9,2,3,4,5,1,7,6,8]
[2,3,4,5,1,6,7,9,8]=>[5,2,3,4,1,6,7,9,8]
[4,5,6,1,7,8,9,2,3]=>[6,9,2,4,5,1,7,8,3]
[2,1,4,5,3,6,7,8,9]=>[2,1,5,4,3,6,7,8,9]
[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]
[2,3,4,5,9,8,6,7,1]=>[7,2,3,4,5,8,6,9,1]
[2,3,4,9,7,5,8,6,1]=>[6,2,3,4,8,7,9,1,5]
[2,3,9,6,4,7,8,5,1]=>[5,2,3,8,6,9,1,7,4]
[2,9,5,3,6,7,8,4,1]=>[4,2,8,5,9,1,6,7,3]
[9,4,2,5,6,7,8,3,1]=>[3,8,4,9,1,5,6,7,2]
[4,1,6,2,8,3,5,7,9]=>[4,6,8,1,3,2,5,7,9]
[4,1,6,2,8,3,9,5,7]=>[4,6,8,1,9,2,5,3,7]
[4,1,6,2,7,3,8,5,9]=>[4,6,7,1,8,2,3,5,9]
[8,7,9,1,4,5,6,2,3]=>[9,6,2,1,4,5,8,7,3]
[7,6,9,1,4,5,2,8,3]=>[9,5,8,1,4,7,6,2,3]
[3,4,5,1,6,2,8,9,7]=>[5,6,3,4,1,2,9,8,7]
[3,4,1,5,2,7,8,9,6]=>[4,5,3,1,2,9,7,8,6]
[3,1,4,2,6,7,8,9,5]=>[3,4,1,2,9,6,7,8,5]
[1,3,2,5,6,7,8,9,4]=>[1,3,2,9,5,6,7,8,4]
[2,9,3,4,5,6,7,1,8]=>[7,2,9,3,4,5,6,1,8]
[3,9,2,4,5,6,7,8,1]=>[8,9,3,2,4,5,6,7,1]
[2,3,4,5,6,9,7,1,8]=>[7,2,3,4,5,6,9,1,8]
[2,3,4,5,8,6,9,1,7]=>[9,2,3,4,5,8,1,6,7]
[2,3,4,7,5,8,9,1,6]=>[9,2,3,4,7,1,5,8,6]
[2,3,6,4,7,8,9,1,5]=>[9,2,3,6,1,4,7,8,5]
[2,5,3,6,7,8,9,1,4]=>[9,2,5,1,3,6,7,8,4]
[4,5,8,1,2,3,6,9,7]=>[8,1,2,4,5,3,9,6,7]
[5,8,1,2,3,6,9,4,7]=>[8,1,2,9,5,3,4,6,7]
[4,5,8,1,2,6,9,3,7]=>[8,1,9,4,5,2,3,6,7]
[3,4,5,8,1,6,9,2,7]=>[8,9,3,4,5,1,2,6,7]
[1,3,5,2,4,6,7,8,9]=>[1,5,3,2,4,6,7,8,9]
[4,1,2,3,5,6,8,7,9]=>[4,1,2,3,5,6,8,7,9]
[1,2,4,7,3,5,6,8,9]=>[1,2,7,4,3,5,6,8,9]
[5,1,2,3,4,7,6,8,9]=>[5,1,2,3,4,7,6,8,9]
[5,6,4,3,2,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]
[4,5,3,2,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]
[6,7,4,3,2,1,5,8,9]=>[2,3,4,7,1,6,5,8,9]
[5,6,4,3,2,7,1,8,9]=>[7,3,4,6,5,2,1,8,9]
[7,5,4,3,1,2,6,8,9]=>[3,1,4,5,7,2,6,8,9]
[6,5,4,3,7,1,2,8,9]=>[7,1,4,5,6,3,2,8,9]
[6,7,9,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,9,1]
[7,6,8,9,5,4,3,2,1]=>[2,3,4,5,9,7,6,8,1]
[6,7,5,9,8,4,3,2,1]=>[2,3,4,8,7,6,5,9,1]
[5,7,9,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,9,1]
[7,6,8,5,9,4,3,2,1]=>[2,3,4,9,8,7,6,5,1]
[6,5,8,9,7,4,3,2,1]=>[2,3,4,7,6,5,9,8,1]
[8,1,7,6,5,4,3,2,9]=>[8,3,4,5,6,7,1,2,9]
[3,2,9,8,7,6,5,1,4]=>[5,3,2,1,6,7,8,9,4]
[7,6,4,3,5,2,1,9,8]=>[2,5,4,6,3,7,1,9,8]
[7,6,3,5,4,2,1,9,8]=>[2,4,5,6,1,7,3,9,8]
[9,8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,9,7]
[9,8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,9,6]
[9,8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,9,5]
[9,8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,9,4]
[9,8,4,7,6,5,3,2,1]=>[2,3,5,6,7,8,4,9,1]
[9,8,3,7,6,5,4,2,1]=>[2,4,5,6,7,8,1,9,3]
[9,3,8,7,6,5,4,2,1]=>[2,4,5,6,7,8,9,3,1]
[9,2,8,7,6,5,4,3,1]=>[3,4,5,6,7,8,9,1,2]
[9,8,4,6,5,7,3,2,1]=>[2,3,7,8,6,4,5,9,1]
[9,8,3,6,5,4,7,2,1]=>[2,7,8,5,6,3,4,9,1]
[9,3,7,6,5,4,8,2,1]=>[2,8,9,5,6,7,3,4,1]
[9,2,7,6,5,4,3,8,1]=>[8,9,4,5,6,7,2,3,1]
[2,1,8,3,9,4,5,6,7]=>[2,1,8,9,4,5,6,3,7]
[2,1,7,9,3,4,5,6,8]=>[2,1,9,3,4,5,7,6,8]
[4,2,1,3,6,5,8,7,9]=>[2,4,1,3,6,5,8,7,9]
[6,2,4,1,3,5,8,7,9]=>[4,6,1,2,3,5,8,7,9]
[8,2,4,1,6,3,5,7,9]=>[4,8,6,2,3,1,5,7,9]
[9,2,4,1,6,3,8,5,7]=>[4,9,6,2,8,1,5,3,7]
[7,2,4,1,6,3,5,9,8]=>[4,7,6,2,3,1,5,9,8]
[5,2,4,1,3,7,6,9,8]=>[4,5,1,2,3,7,6,9,8]
[6,2,1,4,3,5,8,7,9]=>[2,6,4,1,3,5,8,7,9]
[8,2,4,1,3,6,5,7,9]=>[4,8,1,2,6,3,5,7,9]
[9,2,4,1,6,3,5,8,7]=>[4,9,6,2,3,1,8,5,7]
[7,2,4,1,6,3,5,8,9]=>[4,7,6,2,3,1,5,8,9]
[5,2,4,1,3,9,8,6,7]=>[4,5,1,2,3,8,6,9,7]
[3,2,1,7,6,4,5,9,8]=>[2,3,1,6,4,7,5,9,8]
[1,5,4,2,3,7,6,9,8]=>[1,4,2,5,3,7,6,9,8]
[9,2,3,4,1,5,6,7,8]=>[4,9,2,3,1,5,6,7,8]
[3,2,4,5,1,6,7,8,9]=>[5,3,2,4,1,6,7,8,9]
[9,8,4,5,7,6,3,2,1]=>[2,3,6,7,1,8,5,9,4]
[9,8,5,4,6,7,3,2,1]=>[2,3,7,5,8,4,6,9,1]
[9,8,4,5,3,7,6,2,1]=>[2,6,5,7,1,8,3,9,4]
[9,8,3,5,7,6,4,2,1]=>[2,4,6,7,3,8,5,9,1]
[9,8,5,4,6,3,7,2,1]=>[2,7,6,5,8,4,3,9,1]
[9,8,4,3,6,7,5,2,1]=>[2,5,4,7,8,1,6,9,3]
[9,1,2,3,4,7,5,8,6]=>[9,1,2,3,7,8,4,5,6]
[9,1,4,2,3,5,6,8,7]=>[9,4,2,1,3,5,8,6,7]
[8,1,2,3,9,4,5,7,6]=>[8,1,2,9,4,7,5,3,6]
[8,1,2,9,3,4,6,5,7]=>[8,1,9,3,6,4,5,2,7]
[9,1,2,3,6,4,7,8,5]=>[9,1,2,6,8,3,4,7,5]
[9,1,8,2,3,5,4,6,7]=>[9,8,2,5,3,4,6,1,7]
[8,1,2,5,3,6,4,9,7]=>[8,1,5,6,2,3,9,4,7]
[8,9,1,2,4,3,5,6,7]=>[9,1,4,2,3,5,6,8,7]
[8,1,4,2,5,3,6,9,7]=>[8,4,5,1,2,3,9,6,7]
[8,1,9,3,2,4,5,6,7]=>[8,3,9,2,4,5,6,1,7]
[9,3,1,4,2,5,6,8,7]=>[3,9,4,2,1,5,8,6,7]
[9,8,7,6,5,1,3,2,4]=>[5,3,1,2,6,7,8,9,4]
[9,8,7,6,1,4,3,2,5]=>[6,3,4,1,2,7,8,9,5]
[9,8,1,6,5,4,3,2,7]=>[8,3,4,5,6,1,2,9,7]
[9,1,7,6,5,4,3,2,8]=>[9,3,4,5,6,7,1,2,8]
[9,8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,9,6]
[9,8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,9,5]
[2,1,9,3,4,5,6,8,7]=>[2,1,9,3,4,5,8,6,7]
[1,4,8,2,3,5,6,9,7]=>[1,8,2,4,3,5,9,6,7]
[7,1,3,4,5,8,6,9,2]=>[7,9,1,3,4,8,5,6,2]
[4,1,5,9,2,3,6,8,7]=>[4,9,2,1,5,3,8,6,7]
[3,8,9,1,2,4,6,5,7]=>[9,1,3,2,6,4,5,8,7]
[1,4,5,8,2,3,6,9,7]=>[1,8,2,4,5,3,9,6,7]
[1,2,8,3,4,7,5,9,6]=>[1,2,8,3,7,9,4,5,6]
[6,1,3,4,7,5,8,9,2]=>[6,9,1,3,7,4,5,8,2]
[4,1,5,6,9,2,3,8,7]=>[4,9,2,1,5,6,8,3,7]
[3,1,2,9,4,5,8,7,6]=>[3,1,2,9,4,7,8,5,6]
[3,7,9,1,2,5,4,6,8]=>[9,1,3,5,2,4,7,6,8]
[8,9,1,3,4,5,6,7,2]=>[9,7,1,3,4,5,6,8,2]
[7,8,9,1,3,4,5,6,2]=>[9,6,1,3,4,5,7,8,2]
[1,8,9,2,4,5,6,7,3]=>[1,9,7,2,4,5,6,8,3]
[9,1,8,2,4,5,6,7,3]=>[9,8,7,2,4,5,6,1,3]
[1,7,8,9,2,4,5,6,3]=>[1,9,6,2,4,5,7,8,3]
[9,1,7,8,2,4,5,6,3]=>[9,8,6,2,4,5,1,7,3]
[1,9,2,8,3,5,6,7,4]=>[1,9,8,7,3,5,6,2,4]
[1,9,2,7,8,3,5,6,4]=>[1,9,8,6,3,5,2,7,4]
[1,2,3,8,9,4,6,7,5]=>[1,2,3,9,7,4,6,8,5]
[9,1,8,2,7,3,5,6,4]=>[9,8,7,6,3,5,2,1,4]
[1,2,9,3,8,4,6,7,5]=>[1,2,9,8,7,4,6,3,5]
[1,2,3,9,4,8,5,7,6]=>[1,2,3,9,8,7,5,4,6]
[6,1,2,9,3,4,5,7,8]=>[6,1,9,3,4,2,5,7,8]
[4,1,2,3,5,9,6,7,8]=>[4,1,2,3,5,9,6,7,8]
[3,1,2,4,5,6,9,7,8]=>[3,1,2,4,5,6,9,7,8]
[9,8,6,7,4,1,2,3,5]=>[4,1,2,7,3,8,6,9,5]
[9,7,8,5,2,3,4,6,1]=>[6,5,2,3,8,4,9,7,1]
[9,8,6,7,4,2,1,3,5]=>[2,4,1,7,3,8,6,9,5]
[9,7,8,5,3,2,4,6,1]=>[6,3,5,2,8,4,9,7,1]
[9,8,6,7,3,4,1,2,5]=>[4,1,7,3,2,8,6,9,5]
[8,7,5,6,9,3,1,2,4]=>[3,1,9,2,7,5,8,6,4]
[9,7,8,4,5,2,3,6,1]=>[6,5,2,8,4,3,9,7,1]
[8,6,7,9,4,2,3,5,1]=>[5,4,2,9,3,8,6,7,1]
[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]
[1,2,4,5,6,3,7,8,9]=>[1,2,6,4,5,3,7,8,9]
[1,2,3,5,6,7,8,4,9]=>[1,2,3,8,5,6,7,4,9]
[2,1,5,3,6,7,4,8,9]=>[2,1,5,7,3,6,4,8,9]
[1,3,5,6,4,2,7,8,9]=>[1,4,3,6,5,2,7,8,9]
[3,5,2,1,6,4,7,8,9]=>[2,5,3,6,1,4,7,8,9]
[2,1,3,6,4,7,8,9,5]=>[2,1,3,6,9,4,7,8,5]
[1,3,4,6,7,2,8,5,9]=>[1,7,3,4,8,6,2,5,9]
[3,2,6,1,4,7,8,5,9]=>[6,3,2,1,8,4,7,5,9]
[2,4,6,1,7,5,3,8,9]=>[6,2,5,4,7,1,3,8,9]
[4,6,3,2,1,7,5,8,9]=>[2,3,6,4,7,1,5,8,9]
[2,4,1,7,5,8,3,9,6]=>[4,2,8,1,7,9,5,3,6]
[4,3,7,2,1,5,8,9,6]=>[2,7,4,3,1,9,5,8,6]
[1,3,5,7,8,6,4,2,9]=>[1,4,3,6,5,8,7,2,9]
[3,5,7,2,1,8,6,4,9]=>[2,7,3,6,5,8,1,4,9]
[5,7,4,3,2,1,8,6,9]=>[2,3,4,7,5,8,1,6,9]
[2,4,6,8,1,9,7,5,3]=>[8,2,5,4,7,6,9,1,3]
[4,6,8,3,2,1,9,7,5]=>[2,3,8,4,7,6,9,1,5]
[6,8,5,4,3,2,1,9,7]=>[2,3,4,5,8,6,9,1,7]
[3,5,6,7,8,9,2,4,1]=>[4,9,3,2,5,6,7,8,1]
[2,4,6,7,8,9,1,3,5]=>[9,2,1,4,3,6,7,8,5]
[2,5,6,7,8,9,3,1,4]=>[3,2,9,1,5,6,7,8,4]
[1,8,2,7,3,5,6,4,9]=>[1,8,7,6,3,5,2,4,9]
[1,8,2,7,3,4,6,5,9]=>[1,8,7,3,6,4,2,5,9]
[1,2,9,3,8,4,5,7,6]=>[1,2,9,8,4,7,5,3,6]
[2,5,6,7,8,1,9,3,4]=>[8,2,9,3,5,6,7,1,4]
[4,5,6,7,1,2,8,3,9]=>[7,1,8,4,5,6,2,3,9]
[1,3,6,7,8,9,2,4,5]=>[1,9,3,2,4,6,7,8,5]
[3,5,6,7,8,1,2,9,4]=>[8,1,3,9,5,6,7,2,4]
[1,3,4,5,6,2,8,9,7]=>[1,6,3,4,5,2,9,8,7]
[1,3,4,2,6,7,8,9,5]=>[1,4,3,2,9,6,7,8,5]
[7,2,3,4,5,1,6,9,8]=>[5,7,2,3,4,1,6,9,8]
[6,2,3,4,1,5,8,9,7]=>[4,6,2,3,1,5,9,8,7]
[5,2,3,9,1,6,7,8,4]=>[9,5,2,8,3,1,6,7,4]
[4,2,1,3,6,7,8,9,5]=>[2,4,1,3,9,6,7,8,5]
[1,3,4,5,8,2,7,9,6]=>[1,8,3,4,5,9,2,7,6]
[7,2,3,4,5,8,9,1,6]=>[9,7,2,3,4,1,5,8,6]
[9,2,3,6,1,5,7,8,4]=>[6,9,2,8,1,3,5,7,4]
[6,2,3,4,7,1,5,9,8]=>[7,6,2,3,1,4,5,9,8]
[1,3,6,2,5,7,8,9,4]=>[1,6,3,9,2,5,7,8,4]
[5,2,3,6,1,4,8,9,7]=>[6,5,2,1,3,4,9,8,7]
[1,5,2,4,6,7,8,9,3]=>[1,5,9,2,4,6,7,8,3]
[4,2,5,9,1,6,7,8,3]=>[9,4,8,2,5,1,6,7,3]
[2,3,4,5,7,6,8,9,1]=>[9,2,3,4,5,7,6,8,1]
[2,3,4,5,7,8,6,9,1]=>[9,2,3,4,5,8,7,6,1]
[2,3,4,5,8,7,6,9,1]=>[9,2,3,4,5,7,8,6,1]
[2,3,4,5,7,9,8,6,1]=>[6,2,3,4,5,8,7,9,1]
[4,5,6,3,7,8,9,2,1]=>[2,9,6,4,5,3,7,8,1]
[7,2,1,4,3,6,5,9,8]=>[2,7,4,1,6,3,5,9,8]
[5,2,1,4,3,7,6,9,8]=>[2,5,4,1,3,7,6,9,8]
[6,2,4,3,1,5,8,7,9]=>[3,4,6,1,2,5,8,7,9]
[8,2,1,4,6,5,3,7,9]=>[2,8,5,1,6,4,3,7,9]
[9,2,1,4,3,6,8,7,5]=>[2,9,4,1,7,3,8,6,5]
[7,2,1,4,3,6,5,8,9]=>[2,7,4,1,6,3,5,8,9]
[5,2,1,4,3,9,6,8,7]=>[2,5,4,1,3,9,8,6,7]
[3,2,1,7,4,6,5,9,8]=>[2,3,1,7,6,4,5,9,8]
[1,5,2,4,3,7,6,9,8]=>[1,5,4,2,3,7,6,9,8]
[1,2,3,4,7,9,5,6,8]=>[1,2,3,4,9,5,7,6,8]
[1,2,3,4,6,7,9,5,8]=>[1,2,3,4,9,6,7,5,8]
[1,2,3,4,8,5,6,9,7]=>[1,2,3,4,8,5,9,6,7]
[1,2,3,4,7,8,5,9,6]=>[1,2,3,4,8,9,7,5,6]
[2,5,4,6,3,1,8,7,9]=>[3,2,6,5,4,1,8,7,9]
[2,4,3,7,6,8,5,1,9]=>[5,2,4,3,8,7,6,1,9]
[8,7,9,6,5,4,2,1,3]=>[2,4,1,5,6,9,8,7,3]
[8,9,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,9,8,3]
[8,9,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,9,8,1]
[2,3,4,5,8,6,7,9,1]=>[9,2,3,4,5,8,6,7,1]
[2,3,4,5,9,6,8,7,1]=>[7,2,3,4,5,8,9,1,6]
[9,3,4,5,2,6,7,8,1]=>[8,5,9,3,4,2,6,7,1]
[7,8,2,3,4,5,1,6,9]=>[5,8,2,3,4,1,7,6,9]
[1,8,9,3,4,5,6,2,7]=>[1,6,9,3,4,5,2,8,7]
[2,1,3,4,5,8,6,7,9]=>[2,1,3,4,5,8,6,7,9]
[9,3,8,1,7,6,5,4,2]=>[8,4,5,6,7,9,1,2,3]
[4,9,8,1,7,6,5,3,2]=>[8,3,5,4,6,7,1,9,2]
[4,2,9,1,8,7,6,5,3]=>[9,4,5,2,6,7,8,1,3]
[5,9,8,7,1,6,4,3,2]=>[7,3,4,6,5,1,8,9,2]
[5,2,9,8,1,7,6,4,3]=>[8,5,4,6,2,7,1,9,3]
[5,3,2,9,1,8,7,6,4]=>[9,3,5,6,2,7,8,1,4]
[6,2,9,8,7,1,5,4,3]=>[7,6,4,5,1,2,8,9,3]
[6,9,3,8,7,1,5,4,2]=>[7,4,5,8,2,6,9,1,3]
[6,3,2,9,8,1,7,5,4]=>[8,3,6,5,7,2,1,9,4]
[6,4,9,2,8,1,7,5,3]=>[8,9,5,7,6,3,1,2,4]
[6,4,3,2,9,1,8,7,5]=>[9,3,4,6,7,2,8,1,5]
[7,4,9,2,8,6,1,5,3]=>[6,8,5,9,2,7,1,4,3]
[7,4,3,2,9,8,1,6,5]=>[8,3,4,7,6,1,2,9,5]
[7,5,3,9,2,8,1,6,4]=>[8,9,5,7,6,1,4,2,3]
[7,5,4,3,2,9,1,8,6]=>[9,3,4,5,7,8,2,1,6]
[9,2,3,4,5,1,6,7,8]=>[5,9,2,3,4,1,6,7,8]
[7,2,3,4,5,6,9,1,8]=>[9,7,2,3,4,5,6,1,8]
[6,2,3,4,5,9,1,7,8]=>[9,6,2,3,4,5,1,7,8]
[5,2,3,4,9,1,6,7,8]=>[9,5,2,3,4,1,6,7,8]
[4,2,3,9,1,5,6,7,8]=>[9,4,2,3,1,5,6,7,8]
[3,2,9,1,4,5,6,7,8]=>[9,3,2,1,4,5,6,7,8]
[4,5,6,7,8,1,3,9,2]=>[8,9,1,4,5,6,7,3,2]
[2,1,9,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,9,4]
[2,1,9,8,7,6,4,3,5]=>[2,1,4,6,3,7,8,9,5]
[2,1,9,8,7,6,3,5,4]=>[2,1,6,5,3,7,8,9,4]
[4,5,3,6,7,8,9,1,2]=>[9,1,5,4,3,6,7,8,2]
[5,3,4,6,7,8,9,1,2]=>[9,1,5,3,4,6,7,8,2]
[2,1,8,7,9,6,5,4,3]=>[2,1,4,5,6,9,8,7,3]
[2,1,7,9,8,6,5,4,3]=>[2,1,4,5,6,8,7,9,3]
[3,4,9,1,2,5,6,7,8]=>[9,1,3,4,2,5,6,7,8]
[9,3,2,1,4,5,6,7,8]=>[2,3,9,1,4,5,6,7,8]
[4,5,6,9,1,2,3,7,8]=>[9,1,2,4,5,6,3,7,8]
[9,4,5,6,1,2,3,7,8]=>[6,1,2,9,4,5,3,7,8]
[4,9,2,5,1,3,6,7,8]=>[5,9,1,4,2,3,6,7,8]
[9,4,2,5,1,3,6,7,8]=>[5,4,1,9,2,3,6,7,8]
[9,4,3,2,1,5,6,7,8]=>[2,3,4,9,1,5,6,7,8]
[5,9,2,6,7,1,3,4,8]=>[7,9,1,3,5,2,6,4,8]
[9,5,2,6,7,1,3,4,8]=>[7,5,1,3,9,2,6,4,8]
[9,5,6,3,4,1,2,7,8]=>[4,1,6,3,9,5,2,7,8]
[9,5,3,2,6,1,4,7,8]=>[6,3,5,1,9,2,4,7,8]
[9,5,4,3,2,1,6,7,8]=>[2,3,4,5,9,1,6,7,8]
[9,6,7,3,4,8,1,2,5]=>[8,1,7,3,2,9,6,4,5]
[9,6,3,2,7,8,1,4,5]=>[8,3,6,1,4,9,2,7,5]
[9,6,4,7,2,5,1,3,8]=>[5,7,1,6,2,9,4,3,8]
[9,6,4,3,2,7,1,5,8]=>[7,3,4,6,1,9,2,5,8]
[2,5,4,3,1,6,7,8,9]=>[3,2,4,5,1,6,7,8,9]
[2,7,6,5,4,3,1,8,9]=>[3,2,4,5,6,7,1,8,9]
[4,3,5,6,2,1,7,8,9]=>[2,6,4,3,5,1,7,8,9]
[3,6,1,5,4,2,7,8,9]=>[6,4,3,5,1,2,7,8,9]
[4,3,7,8,6,5,2,1,9]=>[2,5,4,3,6,8,7,1,9]
[3,8,1,7,6,5,4,2,9]=>[8,4,3,5,6,7,1,2,9]
[5,6,4,2,7,3,1,8,9]=>[3,7,4,6,5,1,2,8,9]
[3,4,7,1,6,5,2,8,9]=>[7,5,3,4,6,1,2,8,9]
[5,8,4,2,9,7,6,3,1]=>[3,6,4,7,5,9,8,1,2]
[3,4,9,1,8,7,6,5,2]=>[9,5,3,4,6,7,8,1,2]
[6,5,8,7,2,1,4,3,9]=>[2,7,4,1,6,5,8,3,9]
[3,6,7,5,2,8,4,1,9]=>[4,8,3,5,7,6,1,2,9]
[4,5,8,1,2,7,6,3,9]=>[8,1,6,4,5,7,2,3,9]
[4,5,6,7,1,2,3,8,9]=>[7,1,2,4,5,6,3,8,9]
[6,7,4,9,8,3,1,5,2]=>[3,8,5,7,2,6,4,9,1]
[4,7,8,1,6,3,9,5,2]=>[8,5,9,4,6,1,7,2,3]
[4,5,6,9,1,2,8,7,3]=>[9,1,7,4,5,6,8,2,3]
[7,5,9,1,2,3,4,6,8]=>[9,1,2,3,7,4,5,6,8]
[6,4,7,9,1,2,3,5,8]=>[9,1,2,6,3,4,7,5,8]
[5,3,6,7,9,1,2,4,8]=>[9,1,5,2,3,6,7,4,8]
[4,2,5,6,7,9,1,3,8]=>[9,4,1,2,5,6,7,3,8]
[1,2,3,7,4,8,5,9,6]=>[1,2,3,7,8,9,4,5,6]
[1,2,3,4,7,5,9,8,6]=>[1,2,3,4,7,8,5,9,6]
[1,2,6,3,7,4,9,8,5]=>[1,2,6,7,8,3,4,9,5]
[1,2,3,8,6,4,9,7,5]=>[1,2,3,6,8,7,9,5,4]
[1,2,3,6,4,9,8,7,5]=>[1,2,3,6,7,4,8,9,5]
[5,1,6,2,7,3,9,8,4]=>[5,6,7,8,1,2,3,9,4]
[1,5,2,8,6,3,9,7,4]=>[1,5,6,8,2,7,9,4,3]
[1,5,2,6,3,9,8,7,4]=>[1,5,6,7,2,3,8,9,4]
[1,2,7,5,3,9,8,6,4]=>[1,2,5,7,6,8,4,9,3]
[1,2,5,3,9,8,7,6,4]=>[1,2,5,6,3,7,8,9,4]
[4,1,7,5,2,9,8,6,3]=>[4,5,7,1,6,8,3,9,2]
[4,1,5,2,9,8,7,6,3]=>[4,5,6,1,2,7,8,9,3]
[1,6,4,2,9,8,7,5,3]=>[1,4,6,5,7,3,8,9,2]
[1,4,2,9,8,7,6,5,3]=>[1,4,5,2,6,7,8,9,3]
[7,5,3,1,9,8,6,4,2]=>[3,5,4,7,6,8,1,9,2]
[5,3,1,9,8,7,6,4,2]=>[3,5,4,6,2,7,8,9,1]
[1,3,2,5,4,7,9,6,8]=>[1,3,2,5,4,9,7,6,8]
[1,3,2,5,7,4,9,6,8]=>[1,3,2,7,5,9,4,6,8]
[1,3,2,5,7,9,4,6,8]=>[1,3,2,9,5,4,7,6,8]
[1,3,5,7,2,4,9,6,8]=>[1,7,3,2,5,9,4,6,8]
[3,5,1,2,7,4,9,6,8]=>[5,1,3,7,2,9,4,6,8]
[1,2,5,3,7,4,9,6,8]=>[1,2,5,7,3,9,4,6,8]
[3,1,4,2,7,5,9,6,8]=>[3,4,1,2,7,9,5,6,8]
[2,1,5,3,6,4,9,7,8]=>[2,1,5,6,3,4,9,7,8]
[2,1,4,3,7,5,8,6,9]=>[2,1,4,3,7,8,5,6,9]
[1,9,2,8,3,4,5,6,7]=>[1,9,8,3,4,5,6,2,7]
[8,1,2,7,3,4,5,6,9]=>[8,1,7,3,4,5,2,6,9]
[8,1,6,2,3,4,5,7,9]=>[8,6,2,3,4,1,5,7,9]
[1,9,2,3,8,4,5,6,7]=>[1,9,2,8,4,5,6,3,7]
[1,9,2,7,3,4,5,6,8]=>[1,9,7,3,4,5,2,6,8]
[2,3,5,6,7,1,8,9,4]=>[7,2,3,9,5,6,1,8,4]
[2,3,4,5,8,7,6,1,9]=>[6,2,3,4,5,7,8,1,9]
[1,3,4,5,6,9,8,7,2]=>[1,7,3,4,5,6,8,9,2]
[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,7,9,8,6]
[1,2,3,4,8,9,6,7,5]=>[1,2,3,4,7,9,6,8,5]
[1,2,3,8,9,5,6,7,4]=>[1,2,3,7,9,5,6,8,4]
[1,2,8,9,4,5,6,7,3]=>[1,2,7,9,4,5,6,8,3]
[9,4,2,3,5,6,7,8,1]=>[8,4,2,9,3,5,6,7,1]
[3,1,6,7,2,4,8,9,5]=>[3,7,1,2,9,6,4,8,5]
[3,1,6,7,2,4,5,8,9]=>[3,7,1,2,4,6,5,8,9]
[3,1,2,6,7,4,5,8,9]=>[3,1,2,7,4,6,5,8,9]
[1,3,2,6,7,4,5,8,9]=>[1,3,2,7,4,6,5,8,9]
[3,6,1,2,4,7,5,8,9]=>[6,1,3,2,7,4,5,8,9]
[3,6,1,2,7,9,4,5,8]=>[6,1,3,9,4,2,7,5,8]
[3,5,1,2,6,9,4,7,8]=>[5,1,3,9,2,6,4,7,8]
[3,1,7,8,2,4,5,6,9]=>[3,8,1,2,4,5,7,6,9]
[3,1,2,6,7,4,8,9,5]=>[3,1,2,7,9,6,4,8,5]
[1,3,6,7,2,4,5,8,9]=>[1,7,3,2,4,6,5,8,9]
[3,1,6,2,4,7,5,8,9]=>[3,6,1,2,7,4,5,8,9]
[3,6,1,7,9,2,4,5,8]=>[6,9,3,2,4,1,7,5,8]
[3,5,1,2,6,7,4,8,9]=>[5,1,3,7,2,6,4,8,9]
[2,6,1,3,7,9,4,5,8]=>[6,2,1,9,4,3,7,5,8]
[1,7,5,3,2,8,6,4,9]=>[1,3,5,7,6,8,4,2,9]
[1,2,8,6,4,3,9,7,5]=>[1,2,4,6,8,7,9,5,3]
[1,7,5,3,8,6,4,2,9]=>[1,4,6,5,8,7,3,2,9]
[1,6,4,2,8,7,5,3,9]=>[1,4,6,5,7,3,8,2,9]
[1,2,8,6,4,9,7,5,3]=>[1,2,5,7,6,9,8,4,3]
[1,4,2,5,6,7,9,8,3]=>[1,4,8,2,5,6,7,9,3]
[2,1,4,5,6,9,7,3,8]=>[2,1,7,4,5,6,9,3,8]
[3,1,5,2,9,6,7,8,4]=>[3,5,1,8,2,9,6,7,4]
[4,5,1,6,8,7,9,2,3]=>[5,9,2,4,1,6,8,7,3]
[2,3,1,5,9,6,7,4,8]=>[3,2,1,7,5,9,6,4,8]
[1,2,4,5,7,9,6,3,8]=>[1,2,6,4,5,9,7,3,8]
[3,4,6,5,7,1,2,9,8]=>[7,1,3,4,6,5,2,9,8]
[3,1,9,4,2,6,7,8,5]=>[3,4,1,9,8,2,6,7,5]
[1,2,5,3,9,6,8,7,4]=>[1,2,5,7,3,8,9,4,6]
[4,5,1,7,6,8,2,9,3]=>[5,8,9,4,1,7,6,2,3]
[4,8,7,6,5,3,2,1,9]=>[2,3,5,4,6,7,8,1,9]
[5,8,7,4,6,3,2,1,9]=>[2,3,6,7,5,4,8,1,9]
[8,4,7,6,5,3,2,1,9]=>[2,3,5,6,7,8,4,1,9]
[6,9,8,5,7,4,1,3,2]=>[4,3,1,7,8,6,5,9,2]
[9,8,7,5,1,6,4,3,2]=>[5,3,4,7,6,2,8,9,1]
[1,2,8,3,4,5,6,9,7]=>[1,2,8,3,4,5,9,6,7]
[1,9,5,2,3,8,4,6,7]=>[1,5,2,9,8,3,6,4,7]
[1,8,2,9,4,3,5,6,7]=>[1,8,4,9,3,5,6,2,7]
[1,3,2,4,9,8,5,6,7]=>[1,3,2,4,8,5,6,9,7]
[2,1,3,4,5,9,8,6,7]=>[2,1,3,4,5,8,6,9,7]
[9,1,7,2,3,4,5,8,6]=>[9,7,2,3,4,8,1,5,6]
[1,8,5,2,3,4,6,9,7]=>[1,5,2,3,8,4,9,6,7]
[9,8,1,2,3,5,6,4,7]=>[8,1,2,6,3,5,4,9,7]
[1,4,2,3,9,5,6,8,7]=>[1,4,2,3,9,5,8,6,7]
[4,9,8,1,2,5,3,6,7]=>[8,1,5,4,2,3,6,9,7]
[1,3,2,4,5,9,6,8,7]=>[1,3,2,4,5,9,8,6,7]
[1,8,3,9,4,2,5,6,7]=>[1,4,9,8,3,5,6,2,7]
[2,3,1,4,9,8,5,6,7]=>[3,2,1,4,8,5,6,9,7]
[8,5,3,4,6,2,7,9,1]=>[9,6,5,3,8,4,2,7,1]
[8,5,3,4,6,7,9,2,1]=>[2,9,5,3,8,4,6,7,1]
[8,5,4,6,3,2,7,9,1]=>[9,3,6,5,8,4,2,7,1]
[8,5,4,6,3,7,9,2,1]=>[2,9,6,5,8,4,3,7,1]
[8,5,4,6,7,9,3,2,1]=>[2,3,9,5,8,4,6,7,1]
[8,7,3,4,5,2,6,9,1]=>[9,5,7,3,4,2,8,6,1]
[8,7,3,4,5,6,9,2,1]=>[2,9,7,3,4,5,8,6,1]
[8,7,4,5,3,2,6,9,1]=>[9,3,5,7,4,2,8,6,1]
[8,7,4,5,3,6,9,2,1]=>[2,9,5,7,4,3,8,6,1]
[8,7,4,5,6,9,3,2,1]=>[2,3,9,7,4,5,8,6,1]
[8,7,6,4,3,2,5,9,1]=>[9,3,4,6,2,7,8,5,1]
[8,7,6,4,3,5,9,2,1]=>[2,9,4,6,3,7,8,5,1]
[8,7,6,5,4,1,9,3,2]=>[4,3,5,6,7,8,9,1,2]
[8,7,6,5,2,9,1,3,4]=>[9,5,1,3,6,7,8,2,4]
[8,7,6,3,9,2,1,4,5]=>[2,9,6,1,4,7,8,3,5]
[8,7,4,9,3,2,1,6,5]=>[2,3,9,7,6,1,8,4,5]
[8,5,9,4,3,2,1,6,7]=>[2,3,4,9,8,1,6,5,7]
[6,9,5,4,3,2,1,7,8]=>[2,3,4,5,9,6,1,7,8]
[8,7,6,5,2,1,4,3,9]=>[2,5,4,1,6,7,8,3,9]
[8,7,6,3,2,5,1,4,9]=>[5,3,6,1,2,7,8,4,9]
[8,7,6,5,1,9,4,3,2]=>[5,3,4,6,7,8,9,2,1]
[8,7,4,3,6,2,1,9,5]=>[2,6,4,7,8,5,9,1,3]
[8,7,6,2,9,5,1,3,4]=>[5,9,2,3,6,7,8,1,4]
[8,5,4,7,3,2,1,6,9]=>[2,3,7,5,8,1,4,6,9]
[8,7,3,9,6,2,1,4,5]=>[2,6,9,3,4,7,8,1,5]
[6,5,8,4,3,2,1,7,9]=>[2,3,4,8,6,5,1,7,9]
[8,4,9,7,3,2,1,6,5]=>[2,3,7,9,6,4,8,1,5]
[5,9,8,4,3,2,1,6,7]=>[2,3,4,8,5,1,6,9,7]
[9,5,4,3,2,1,8,7,6]=>[2,3,4,5,9,7,8,1,6]
[9,3,2,1,8,7,6,5,4]=>[2,3,9,5,6,7,8,1,4]
[6,5,4,3,2,1,9,7,8]=>[2,3,4,5,6,1,9,7,8]
[5,4,3,2,1,9,6,8,7]=>[2,3,4,5,1,9,8,6,7]
[4,3,2,1,9,5,8,7,6]=>[2,3,4,1,9,7,8,5,6]
[3,2,1,9,4,8,7,6,5]=>[2,3,1,9,6,7,8,4,5]
[2,1,9,3,8,7,6,5,4]=>[2,1,9,5,6,7,8,3,4]
[6,1,7,2,3,4,5,9,8]=>[6,7,2,3,4,1,5,9,8]
[5,7,1,2,3,4,6,9,8]=>[7,1,2,3,5,4,6,9,8]
[2,1,3,4,9,5,6,7,8]=>[2,1,3,4,9,5,6,7,8]
[9,8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,9,1]
[9,8,5,7,6,4,3,2,1]=>[2,3,4,6,7,8,1,9,5]
[2,1,3,9,8,4,5,6,7]=>[2,1,3,8,4,5,6,9,7]
[2,1,3,8,4,5,6,7,9]=>[2,1,3,8,4,5,6,7,9]
[8,7,5,6,4,3,2,1,9]=>[2,3,4,6,7,5,8,1,9]
[8,6,5,7,4,3,2,1,9]=>[2,3,4,7,6,8,5,1,9]
[9,8,7,6,4,3,2,5,1]=>[5,3,4,6,2,7,8,9,1]
[9,8,7,6,4,3,5,2,1]=>[2,5,4,6,3,7,8,9,1]
[8,5,6,7,4,3,2,1,9]=>[2,3,4,7,8,5,6,1,9]
[6,7,5,8,4,3,2,1,9]=>[2,3,4,8,7,6,5,1,9]
[8,9,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,9,8,5]
[7,6,5,3,2,1,4,8,9]=>[2,3,5,1,6,7,4,8,9]
[9,8,7,6,4,3,5,1,2]=>[5,1,4,6,3,7,8,9,2]
[9,8,7,6,4,5,2,3,1]=>[3,5,2,6,4,7,8,9,1]
[9,8,7,6,5,3,4,2,1]=>[2,4,5,3,6,7,8,9,1]
[8,9,1,2,4,5,6,7,3]=>[9,1,7,2,4,5,6,8,3]
[9,6,7,3,4,5,1,2,8]=>[5,1,7,3,4,9,6,2,8]
[8,3,1,2,9,5,6,7,4]=>[3,1,8,7,9,5,6,2,4]
[9,7,8,1,4,5,6,2,3]=>[8,6,2,1,4,5,9,7,3]
[9,5,6,3,4,1,7,2,8]=>[4,7,6,3,9,5,1,2,8]
[8,3,1,4,2,9,6,7,5]=>[3,8,4,2,7,9,6,1,5]
[7,8,1,2,9,3,5,6,4]=>[8,1,9,6,3,5,7,2,4]
[9,6,7,1,4,5,2,8,3]=>[7,5,8,1,4,9,6,2,3]
[7,9,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,7,9,2]
[8,7,6,5,4,2,3,1,9]=>[3,4,2,5,6,7,8,1,9]
[7,9,8,6,5,4,2,1,3]=>[2,4,1,5,6,8,7,9,3]
[7,9,8,6,5,4,2,3,1]=>[3,4,2,5,6,8,7,9,1]
[2,9,8,6,5,7,4,3,1]=>[3,2,4,7,6,8,5,9,1]
[7,1,8,2,3,4,5,9,6]=>[7,8,2,3,4,9,1,5,6]
[6,8,1,2,3,4,5,9,7]=>[8,1,2,3,4,6,9,5,7]
[2,7,9,1,3,4,5,6,8]=>[9,2,1,3,4,5,7,6,8]
[9,7,8,5,6,2,3,1,4]=>[3,6,2,1,8,5,9,7,4]
[9,7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,9,7,6]
[9,6,7,4,5,2,3,1,8]=>[3,5,2,7,4,9,6,1,8]
[8,6,7,4,5,2,3,1,9]=>[3,5,2,7,4,8,6,1,9]
[8,9,6,4,5,2,3,1,7]=>[3,5,2,6,4,9,1,8,7]
[8,9,6,7,4,2,3,1,5]=>[3,4,2,7,1,9,6,8,5]
[8,9,6,7,4,5,2,1,3]=>[2,5,1,7,4,9,6,8,3]
[9,7,8,4,2,3,5,1,6]=>[5,4,2,8,3,1,9,7,6]
[9,6,4,5,7,2,3,1,8]=>[3,7,2,6,4,9,5,1,8]
[6,7,8,4,5,2,3,1,9]=>[3,5,2,8,4,6,7,1,9]
[9,8,6,4,5,2,3,1,7]=>[3,5,2,6,4,8,1,9,7]
[8,6,7,9,4,2,3,1,5]=>[3,4,2,9,1,8,6,7,5]
[8,9,6,4,5,7,2,1,3]=>[2,7,1,6,4,9,5,8,3]
[8,9,6,7,4,2,3,5,1]=>[5,4,2,7,3,9,6,8,1]
[7,5,6,4,2,3,1,8,9]=>[3,4,2,6,7,5,1,8,9]
[6,5,3,4,2,1,7,8,9]=>[2,4,5,3,6,1,7,8,9]
[9,6,8,7,5,2,4,3,1]=>[3,4,5,1,7,8,9,2,6]
[8,6,3,7,5,2,4,1,9]=>[4,5,7,3,6,8,2,1,9]
[7,6,4,3,5,2,1,8,9]=>[2,5,4,6,3,7,1,8,9]
[9,7,4,3,8,6,2,5,1]=>[5,6,4,8,3,7,9,2,1]
[8,7,5,4,3,6,2,1,9]=>[2,6,4,5,7,3,8,1,9]
[9,8,6,5,4,3,7,2,1]=>[2,7,4,5,6,8,3,9,1]
[1,3,5,8,2,4,6,7,9]=>[1,8,3,2,5,4,6,7,9]
[5,1,2,8,3,4,6,7,9]=>[5,1,8,3,2,4,6,7,9]
[2,8,1,5,3,4,6,7,9]=>[8,2,5,3,1,4,6,7,9]
[2,7,1,4,8,3,5,6,9]=>[7,2,8,1,3,5,4,6,9]
[2,4,9,1,7,3,5,6,8]=>[9,2,7,4,3,5,1,6,8]
[2,6,1,4,9,3,5,7,8]=>[6,2,9,1,3,4,5,7,8]
[4,1,2,6,9,3,5,7,8]=>[4,1,9,2,3,6,5,7,8]
[1,2,4,6,9,3,5,7,8]=>[1,2,9,4,3,6,5,7,8]
[2,8,1,4,5,3,6,7,9]=>[8,2,5,1,4,3,6,7,9]
[2,6,1,4,7,8,3,5,9]=>[6,2,8,1,3,4,7,5,9]
[2,4,8,1,6,9,3,5,7]=>[8,2,9,4,3,1,5,6,7]
[2,7,1,5,3,4,6,8,9]=>[7,2,5,3,1,4,6,8,9]
[2,9,1,4,7,3,5,6,8]=>[9,2,7,1,3,5,4,6,8]
[6,1,2,4,9,3,5,7,8]=>[6,1,9,2,3,4,5,7,8]
[4,2,6,9,1,3,5,7,8]=>[9,4,1,2,3,6,5,7,8]
[2,3,6,4,5,1,7,8,9]=>[5,2,3,6,4,1,7,8,9]
[2,3,4,8,5,6,7,1,9]=>[7,2,3,4,8,5,6,1,9]
[3,5,4,7,2,6,1,8,9]=>[6,7,3,5,4,2,1,8,9]
[2,6,4,1,5,3,7,8,9]=>[4,2,6,5,3,1,7,8,9]
[4,5,2,6,3,1,7,8,9]=>[3,6,5,4,1,2,7,8,9]
[3,6,4,5,9,2,7,8,1]=>[8,9,3,6,4,5,2,7,1]
[2,5,4,7,8,6,3,1,9]=>[3,2,6,5,4,8,7,1,9]
[4,6,2,5,8,3,7,1,9]=>[7,6,8,4,2,5,3,1,9]
[3,5,7,6,1,4,2,8,9]=>[6,4,3,1,5,7,2,8,9]
[5,6,2,3,7,4,1,8,9]=>[4,7,1,6,5,3,2,8,9]
[5,7,2,3,6,9,4,8,1]=>[8,7,2,9,5,3,6,4,1]
[2,8,4,1,6,3,7,5,9]=>[4,2,8,6,7,3,1,5,9]
[4,6,7,8,3,1,5,2,9]=>[3,8,5,4,2,6,7,1,9]
[6,7,2,3,4,8,5,1,9]=>[5,8,1,3,7,6,4,2,9]
[3,5,9,7,1,8,2,6,4]=>[7,9,3,6,5,1,8,2,4]
[5,7,8,3,9,4,1,6,2]=>[4,9,6,8,5,2,7,1,3]
[7,8,2,3,4,5,9,6,1]=>[6,9,1,3,4,8,7,5,2]
[7,8,9,2,3,4,5,6,1]=>[6,9,2,3,4,5,7,8,1]
[7,9,2,3,4,5,1,6,8]=>[5,9,2,3,4,1,7,6,8]
[8,9,7,2,3,1,4,5,6]=>[3,7,2,1,4,5,9,8,6]
[7,8,1,9,6,2,3,4,5]=>[8,6,2,3,4,9,7,1,5]
[6,1,7,8,4,9,2,3,5]=>[6,9,2,8,3,1,7,4,5]
[1,5,6,7,8,9,4,2,3]=>[1,4,2,9,5,6,7,8,3]
[8,6,9,2,3,4,5,7,1]=>[7,9,2,3,4,8,5,6,1]
[7,5,8,9,2,3,4,6,1]=>[6,9,2,3,7,4,5,8,1]
[6,7,9,2,3,1,4,5,8]=>[3,9,2,1,4,6,7,5,8]
[6,4,7,8,9,2,3,1,5]=>[3,9,2,6,1,4,7,8,5]
[8,9,5,1,7,2,3,4,6]=>[5,9,1,3,7,4,2,8,6]
[5,3,6,7,8,9,2,4,1]=>[4,9,5,2,3,6,7,8,1]
[7,1,8,9,4,6,2,3,5]=>[7,6,2,9,3,4,1,8,5]
[1,6,7,8,3,4,9,2,5]=>[1,9,8,3,2,6,7,4,5]
[5,1,2,4,3,6,7,8,9]=>[5,1,4,2,3,6,7,8,9]
[7,1,2,3,4,6,5,8,9]=>[7,1,2,3,6,4,5,8,9]
[8,7,6,4,9,3,2,1,5]=>[2,3,9,6,1,7,8,4,5]
[8,7,5,4,9,3,2,1,6]=>[2,3,9,5,7,1,8,4,6]
[8,7,4,9,6,3,2,1,5]=>[2,3,6,9,4,7,8,1,5]
[9,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,9,7,3]
[9,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,9,7,3]
[9,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,9,4,6,3]
[8,9,6,4,7,2,5,1,3]=>[5,7,1,6,2,9,4,8,3]
[8,9,6,7,4,2,5,1,3]=>[5,4,1,7,2,9,6,8,3]
[9,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,9,7,4]
[9,5,8,4,7,2,6,1,3]=>[6,7,1,8,9,2,4,5,3]
[7,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,7,6,4,3]
[8,6,9,7,4,2,5,1,3]=>[5,4,1,7,2,9,8,3,6]
[8,9,6,4,7,5,2,1,3]=>[2,5,1,7,6,9,3,8,4]
[8,9,6,7,4,2,5,3,1]=>[3,5,4,7,1,9,6,8,2]
[9,7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,9,2,1]
[3,1,4,6,2,5,8,7,9]=>[3,6,1,4,2,5,8,7,9]
[1,3,2,5,7,4,6,9,8]=>[1,3,2,7,5,4,6,9,8]
[1,9,8,5,6,7,4,3,2]=>[1,3,4,7,8,5,6,9,2]
[1,9,8,5,4,6,7,3,2]=>[1,3,7,5,8,4,6,9,2]
[1,9,5,4,6,7,8,3,2]=>[1,3,8,5,9,4,6,7,2]
[2,4,5,6,7,8,3,9,1]=>[9,2,8,4,5,6,7,3,1]
[2,3,5,6,7,4,8,9,1]=>[9,2,3,7,5,6,4,8,1]
[6,7,5,8,9,1,2,3,4]=>[9,1,2,3,7,6,5,8,4]
[6,7,8,5,9,1,2,3,4]=>[9,1,2,3,8,6,7,5,4]
[6,7,8,9,5,1,2,3,4]=>[5,1,2,3,9,6,7,8,4]
[5,7,8,9,1,6,2,3,4]=>[9,6,2,3,5,1,7,8,4]
[5,6,8,9,1,2,7,3,4]=>[9,1,7,3,5,6,2,8,4]
[7,6,5,8,9,1,2,3,4]=>[9,1,2,3,6,7,5,8,4]
[6,8,7,5,9,1,2,3,4]=>[9,1,2,3,7,6,8,5,4]
[6,7,9,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,9,4]
[4,5,7,8,9,6,1,2,3]=>[6,1,2,4,5,9,7,8,3]
[5,6,8,9,2,1,7,3,4]=>[2,9,7,3,5,6,1,8,4]
[5,6,7,9,1,3,2,8,4]=>[9,3,1,8,5,6,7,2,4]
[5,6,7,8,1,2,4,3,9]=>[8,1,4,2,5,6,7,3,9]
[3,9,4,5,6,7,2,1,8]=>[2,7,3,9,4,5,6,1,8]
[4,1,9,5,6,7,8,3,2]=>[4,3,8,1,9,5,6,7,2]
[4,2,9,5,6,7,3,1,8]=>[3,7,4,1,9,5,6,2,8]
[3,9,4,5,6,2,7,1,8]=>[7,6,3,9,4,5,2,1,8]
[5,1,3,9,6,7,8,4,2]=>[5,4,1,8,3,9,6,7,2]
[4,1,9,5,6,7,3,8,2]=>[4,8,7,1,9,5,6,3,2]
[5,2,3,9,6,7,4,1,8]=>[4,7,1,5,3,9,6,2,8]
[4,5,9,6,7,3,2,1,8]=>[2,3,7,4,5,9,6,1,8]
[3,9,4,5,2,6,7,1,8]=>[7,5,3,9,4,2,6,1,8]
[6,1,3,4,9,7,8,5,2]=>[6,5,1,3,8,4,9,7,2]
[5,1,6,9,7,8,4,3,2]=>[5,3,4,8,1,6,9,7,2]
[4,1,9,5,6,3,7,8,2]=>[4,8,6,1,9,5,3,7,2]
[1,2,4,3,6,9,8,7,5]=>[1,2,4,3,7,6,8,9,5]
[2,3,5,4,7,9,8,6,1]=>[6,2,3,5,4,8,7,9,1]
[2,1,4,3,6,9,8,7,5]=>[2,1,4,3,7,6,8,9,5]
[3,2,5,4,7,9,8,6,1]=>[6,3,2,5,4,8,7,9,1]
[1,3,4,2,6,9,8,7,5]=>[1,4,3,2,7,6,8,9,5]
[1,3,2,5,8,7,6,9,4]=>[1,3,2,9,5,7,8,6,4]
[2,4,5,3,7,9,8,6,1]=>[6,2,5,4,3,8,7,9,1]
[2,4,3,6,8,7,9,5,1]=>[5,2,4,3,9,6,8,7,1]
[1,2,3,4,7,5,6,9,8]=>[1,2,3,4,7,5,6,9,8]
[9,8,7,6,5,3,1,4,2]=>[3,5,4,2,6,7,8,9,1]
[9,8,7,6,4,1,5,3,2]=>[4,3,6,5,2,7,8,9,1]
[9,8,6,1,7,5,4,3,2]=>[6,3,4,5,8,7,2,9,1]
[9,7,1,8,6,5,4,3,2]=>[7,3,4,5,6,9,8,2,1]
[1,2,7,4,5,6,8,9,3]=>[1,2,9,7,4,5,6,8,3]
[1,2,3,4,7,8,5,6,9]=>[1,2,3,4,8,5,7,6,9]
[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]
[1,2,3,4,8,9,5,6,7]=>[1,2,3,4,9,5,6,8,7]
[2,1,7,8,9,3,4,5,6]=>[2,1,9,3,4,5,7,8,6]
[9,7,5,3,8,6,4,2,1]=>[2,4,6,5,8,7,9,3,1]
[8,6,9,7,4,3,2,1,5]=>[2,3,4,7,1,9,8,5,6]
[8,6,3,2,1,4,9,7,5]=>[2,3,6,1,8,7,9,5,4]
[8,6,4,9,7,5,2,1,3]=>[2,5,1,7,6,9,8,4,3]
[9,7,5,3,8,6,4,1,2]=>[4,1,6,5,8,7,9,3,2]
[9,6,7,8,5,4,3,2,1]=>[2,3,4,5,8,9,6,7,1]
[8,5,6,9,7,4,3,2,1]=>[2,3,4,7,9,1,8,6,5]
[8,6,3,2,1,9,7,4,5]=>[2,3,6,8,1,7,9,4,5]
[9,7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,9,7,6]
[8,6,3,4,9,7,5,2,1]=>[2,5,7,3,6,9,8,4,1]
[8,6,9,7,3,2,1,4,5]=>[2,3,7,1,4,9,8,5,6]
[9,7,5,2,3,8,6,4,1]=>[4,6,2,5,8,7,9,3,1]
[8,6,2,1,3,4,9,7,5]=>[2,6,1,3,8,7,9,5,4]
[8,6,4,9,7,5,1,2,3]=>[5,1,2,7,6,9,8,4,3]
[2,5,1,6,3,7,4,8,9]=>[5,2,6,7,1,3,4,8,9]
[2,6,1,7,3,8,4,9,5]=>[6,2,7,8,9,1,3,4,5]
[3,4,6,1,7,2,8,5,9]=>[6,7,3,4,8,1,2,5,9]
[3,2,6,1,7,4,8,5,9]=>[6,3,2,7,8,1,4,5,9]
[4,2,5,6,1,7,3,8,9]=>[6,4,7,2,5,1,3,8,9]
[3,4,2,6,1,7,5,8,9]=>[6,4,3,2,7,1,5,8,9]
[4,2,5,7,1,8,3,9,6]=>[7,4,8,2,5,9,1,3,6]
[3,4,2,7,1,8,5,9,6]=>[7,4,3,2,8,9,1,5,6]
[5,3,6,4,7,1,8,2,9]=>[7,8,5,6,3,4,1,2,9]
[3,5,2,6,7,1,8,4,9]=>[7,5,3,8,2,6,1,4,9]
[4,3,5,2,7,1,8,6,9]=>[7,5,4,3,2,8,1,6,9]
[4,6,2,7,5,8,1,9,3]=>[8,6,9,4,7,2,5,1,3]
[4,3,6,2,7,8,1,9,5]=>[8,6,4,3,9,2,7,1,5]
[4,5,3,6,2,8,1,9,7]=>[8,6,5,4,3,2,9,1,7]
[7,6,5,9,4,3,2,1,8]=>[2,3,4,9,6,7,5,1,8]
[7,6,5,4,3,9,2,1,8]=>[2,9,4,5,6,7,3,1,8]
[7,9,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,7,9,6]
[7,6,9,8,4,3,2,1,5]=>[2,3,4,8,1,7,6,9,5]
[7,6,5,9,8,3,2,1,4]=>[2,3,8,1,6,7,5,9,4]
[7,6,5,4,9,8,2,1,3]=>[2,8,1,5,6,7,4,9,3]
[7,6,5,4,3,9,8,1,2]=>[8,1,4,5,6,7,3,9,2]
[9,8,7,6,5,2,3,4,1]=>[4,5,2,3,6,7,8,9,1]
[6,1,7,8,9,2,3,4,5]=>[6,9,2,3,4,1,7,8,5]
[4,5,6,7,1,9,2,3,8]=>[7,9,2,4,5,6,1,3,8]
[3,5,6,7,9,1,2,4,8]=>[9,1,3,2,5,6,7,4,8]
[5,1,6,7,8,2,9,3,4]=>[5,8,9,3,1,6,7,2,4]
[4,1,6,7,8,9,2,3,5]=>[4,9,2,1,3,6,7,8,5]
[7,5,4,6,8,3,2,1,9]=>[2,3,8,5,7,4,6,1,9]
[5,6,7,8,4,3,2,1,9]=>[2,3,4,8,5,6,7,1,9]
[7,6,4,3,5,8,2,1,9]=>[2,8,4,6,3,7,5,1,9]
[7,4,5,6,8,3,2,1,9]=>[2,3,8,7,4,5,6,1,9]
[7,6,5,3,2,4,8,1,9]=>[8,3,5,2,6,7,4,1,9]
[7,6,3,4,5,8,2,1,9]=>[2,8,6,3,4,7,5,1,9]
[7,6,5,4,2,1,3,8,9]=>[2,4,1,5,6,7,3,8,9]
[7,6,5,2,3,4,8,1,9]=>[8,5,2,3,6,7,4,1,9]
[7,6,5,4,1,2,3,8,9]=>[4,1,2,5,6,7,3,8,9]
[5,6,7,1,2,3,4,8,9]=>[7,1,2,3,5,6,4,8,9]
[5,3,6,1,2,4,7,8,9]=>[6,1,5,2,3,4,7,8,9]
[6,3,7,8,1,2,4,5,9]=>[8,1,6,2,4,3,7,5,9]
[6,7,4,5,1,2,3,8,9]=>[5,1,2,7,4,6,3,8,9]
[6,4,3,7,1,2,5,8,9]=>[7,1,4,6,2,3,5,8,9]
[7,3,4,8,9,1,2,5,6]=>[9,1,7,3,2,5,4,8,6]
[7,8,4,5,9,1,2,3,6]=>[9,1,2,8,4,3,7,5,6]
[7,4,3,8,9,1,2,5,6]=>[9,1,4,7,2,5,3,8,6]
[7,5,8,3,6,1,2,4,9]=>[6,1,8,2,7,3,5,4,9]
[7,5,4,3,8,1,2,6,9]=>[8,1,4,5,7,2,3,6,9]
[8,5,9,3,6,7,1,2,4]=>[7,1,9,2,8,3,6,5,4]
[8,5,4,3,6,9,1,2,7]=>[9,1,4,5,8,3,2,6,7]
[8,6,4,9,3,7,1,2,5]=>[7,1,9,6,2,8,3,4,5]
[8,6,5,4,3,9,1,2,7]=>[9,1,4,5,6,8,2,3,7]
[9,7,5,4,8,3,6,1,2]=>[6,1,8,5,7,3,9,4,2]
[9,7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,9,3,2]
[6,5,7,4,3,2,1,9,8]=>[2,3,4,7,6,5,1,9,8]
[5,7,6,4,3,2,1,9,8]=>[2,3,4,6,5,7,1,9,8]
[2,3,1,5,6,8,9,4,7]=>[3,2,1,9,5,6,4,8,7]
[8,7,3,6,9,5,4,2,1]=>[2,4,5,9,7,3,8,6,1]
[8,2,7,9,6,5,4,3,1]=>[3,4,5,6,9,8,2,7,1]
[5,6,7,8,9,1,3,4,2]=>[9,4,1,3,5,6,7,8,2]
[6,7,8,9,1,3,4,5,2]=>[9,5,1,3,4,6,7,8,2]
[6,7,8,9,1,4,5,2,3]=>[9,5,2,1,4,6,7,8,3]
[6,7,8,9,1,4,5,3,2]=>[9,3,5,1,4,6,7,8,2]
[6,7,8,9,1,5,4,3,2]=>[9,3,4,5,1,6,7,8,2]
[7,8,9,1,4,5,6,2,3]=>[9,6,2,1,4,5,7,8,3]
[7,8,9,1,4,5,6,3,2]=>[9,3,6,1,4,5,7,8,2]
[7,8,9,1,5,6,3,4,2]=>[9,4,6,3,1,5,7,8,2]
[7,8,9,1,5,6,4,3,2]=>[9,3,4,6,1,5,7,8,2]
[7,8,9,1,6,5,4,3,2]=>[9,3,4,5,6,1,7,8,2]
[8,9,1,5,6,7,3,4,2]=>[9,4,7,3,1,5,6,8,2]
[8,9,1,5,6,7,4,3,2]=>[9,3,4,7,1,5,6,8,2]
[8,9,1,6,7,4,5,2,3]=>[9,5,2,7,4,1,6,8,3]
[8,9,1,6,7,4,5,3,2]=>[9,3,5,7,4,1,6,8,2]
[8,9,1,6,7,5,4,3,2]=>[9,3,4,5,7,1,6,8,2]
[9,1,7,8,5,6,3,4,2]=>[9,4,6,3,8,5,1,7,2]
[9,1,7,8,5,6,4,3,2]=>[9,3,4,6,8,5,1,7,2]
[2,9,1,4,5,6,7,8,3]=>[9,2,8,1,4,5,6,7,3]
[7,9,2,3,4,5,6,8,1]=>[8,9,2,3,4,5,7,6,1]
[2,9,3,1,5,6,7,8,4]=>[3,2,9,8,1,5,6,7,4]
[2,8,1,4,5,6,7,9,3]=>[8,2,9,1,4,5,6,7,3]
[3,4,9,1,5,6,7,8,2]=>[9,8,3,4,1,5,6,7,2]
[4,9,1,2,5,6,7,8,3]=>[9,1,8,4,2,5,6,7,3]
[2,4,9,1,5,6,7,3,8]=>[9,2,7,4,1,5,6,3,8]
[3,7,1,9,4,5,6,8,2]=>[7,8,3,9,4,5,1,6,2]
[3,9,1,5,6,7,2,8,4]=>[9,7,3,8,1,5,6,2,4]
[4,1,8,2,5,6,7,9,3]=>[4,8,9,1,2,5,6,7,3]
[2,3,9,1,5,6,4,7,8]=>[9,2,3,6,1,5,4,7,8]
[4,5,7,9,1,2,8,6,3]=>[9,1,6,4,5,8,7,2,3]
[3,6,1,4,9,5,7,8,2]=>[6,8,3,1,9,4,5,7,2]
[3,9,1,4,6,2,7,8,5]=>[9,6,3,1,8,4,2,7,5]
[5,6,9,1,2,8,3,7,4]=>[9,1,8,7,5,6,3,2,4]
[4,1,2,7,5,6,8,9,3]=>[4,1,9,2,7,5,6,8,3]
[2,3,4,5,7,9,6,8,1]=>[8,2,3,4,5,9,7,6,1]
[2,3,4,6,9,5,7,8,1]=>[8,2,3,4,9,6,5,7,1]
[2,3,5,9,4,6,7,8,1]=>[8,2,3,9,5,4,6,7,1]
[2,4,9,3,5,6,7,8,1]=>[8,2,9,4,3,5,6,7,1]
[5,9,8,7,6,4,3,1,2]=>[3,1,4,6,5,7,8,9,2]
[5,4,8,7,6,3,2,1,9]=>[2,3,6,5,4,7,8,1,9]
[6,5,9,8,7,4,3,1,2]=>[3,1,4,7,6,5,8,9,2]
[9,5,8,7,6,4,3,1,2]=>[3,1,4,6,7,8,9,5,2]
[7,6,8,5,4,3,2,9,1]=>[9,3,4,5,8,7,6,2,1]
[6,8,7,5,4,3,2,9,1]=>[9,3,4,5,7,6,8,2,1]
[2,7,9,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,9,1]
[6,7,8,5,4,3,2,9,1]=>[9,3,4,5,8,6,7,2,1]
[2,7,8,9,6,5,4,3,1]=>[3,2,4,5,6,9,7,8,1]
[2,3,4,5,6,1,8,9,7]=>[6,2,3,4,5,1,9,8,7]
[2,3,4,5,1,7,8,9,6]=>[5,2,3,4,1,9,7,8,6]
[2,9,3,4,5,6,1,7,8]=>[6,2,9,3,4,5,1,7,8]
[2,8,3,4,5,1,6,9,7]=>[5,2,8,3,4,1,9,6,7]
[2,7,3,4,1,5,8,9,6]=>[4,2,7,3,1,9,5,8,6]
[2,6,3,1,4,7,8,9,5]=>[3,2,6,1,9,4,7,8,5]
[1,3,2,4,6,5,8,7,9]=>[1,3,2,4,6,5,8,7,9]
[1,3,2,5,4,6,8,7,9]=>[1,3,2,5,4,6,8,7,9]
[1,3,2,5,4,7,6,8,9]=>[1,3,2,5,4,7,6,8,9]
[4,2,5,3,7,6,9,8,1]=>[8,4,5,2,3,7,6,9,1]
[4,2,6,3,7,5,9,8,1]=>[8,4,6,2,7,3,5,9,1]
[4,2,6,3,8,5,9,7,1]=>[7,4,6,2,9,3,8,1,5]
[4,2,6,3,8,5,1,7,9]=>[5,4,8,2,6,1,3,7,9]
[4,2,6,3,8,5,7,1,9]=>[7,4,6,2,8,3,5,1,9]
[4,2,6,3,5,8,7,1,9]=>[7,4,6,2,3,5,8,1,9]
[4,2,3,6,5,8,7,1,9]=>[7,4,2,3,6,5,8,1,9]
[5,2,6,3,7,4,9,8,1]=>[8,5,6,7,2,3,4,9,1]
[4,2,7,3,8,5,9,6,1]=>[6,4,9,2,7,8,5,1,3]
[4,2,6,3,9,5,1,7,8]=>[5,4,9,2,6,1,3,7,8]
[4,2,6,3,8,5,7,9,1]=>[9,4,6,2,8,3,5,7,1]
[4,2,6,3,5,8,1,7,9]=>[8,4,6,2,3,5,1,7,9]
[4,2,3,6,8,5,7,1,9]=>[7,4,2,3,8,6,5,1,9]
[2,4,6,3,5,8,7,1,9]=>[7,2,6,4,3,5,8,1,9]
[7,9,1,8,6,5,4,3,2]=>[9,3,4,5,6,8,7,1,2]
[6,9,1,8,7,5,4,3,2]=>[9,3,4,5,7,6,8,1,2]
[3,4,5,6,9,2,1,8,7]=>[2,9,3,4,5,6,8,1,7]
[3,4,5,8,2,9,1,7,6]=>[9,8,3,4,5,7,1,2,6]
[3,4,7,2,8,9,1,5,6]=>[9,7,3,4,1,5,2,8,6]
[3,6,2,7,8,9,1,5,4]=>[9,6,3,5,1,2,7,8,4]
[5,2,6,7,8,9,1,4,3]=>[9,5,4,1,2,6,7,8,3]
[3,4,5,6,9,1,7,8,2]=>[9,8,3,4,5,6,1,7,2]
[3,4,5,8,9,6,1,7,2]=>[6,9,3,4,5,7,2,8,1]
[3,4,7,8,5,9,1,2,6]=>[9,1,3,4,8,2,7,5,6]
[3,4,5,9,2,6,1,8,7]=>[6,9,3,4,5,2,8,1,7]
[3,6,7,4,8,9,1,5,2]=>[9,5,3,7,1,6,4,8,2]
[3,4,8,2,5,9,1,7,6]=>[9,8,3,4,2,7,1,5,6]
[5,6,3,7,8,9,1,4,2]=>[9,4,6,1,5,3,7,8,2]
[3,7,2,4,8,9,1,5,6]=>[9,7,3,2,1,5,4,8,6]
[6,2,3,7,8,9,1,5,4]=>[9,6,2,5,1,3,7,8,4]
[2,9,8,5,7,6,4,3,1]=>[3,2,4,6,7,8,1,9,5]
[8,7,4,5,6,3,2,9,1]=>[9,3,6,7,4,5,8,2,1]
[2,9,8,5,6,7,4,3,1]=>[3,2,4,7,8,5,6,9,1]
[8,9,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,9,8,2]
[8,7,9,6,5,4,1,3,2]=>[4,3,1,5,6,9,8,7,2]
[9,7,8,6,5,4,1,3,2]=>[4,3,1,5,6,8,9,7,2]
[9,2,8,7,5,6,4,3,1]=>[3,4,6,9,7,5,8,2,1]
[7,9,8,4,5,6,1,3,2]=>[6,3,1,8,4,5,7,9,2]
[8,2,9,7,5,6,4,1,3]=>[4,6,2,8,7,5,9,1,3]
[7,2,9,8,5,6,1,4,3]=>[6,7,4,1,8,5,2,9,3]
[8,5,4,3,2,6,9,1,7]=>[9,3,4,5,8,2,1,6,7]
[8,2,3,9,7,6,5,1,4]=>[5,6,1,2,7,9,8,3,4]
[9,2,6,5,4,3,7,8,1]=>[8,9,4,5,6,2,3,7,1]
[1,3,2,4,5,6,9,7,8]=>[1,3,2,4,5,6,9,7,8]
[2,3,1,4,5,6,9,7,8]=>[3,2,1,4,5,6,9,7,8]
[3,2,4,5,6,8,9,1,7]=>[9,3,2,4,5,6,1,8,7]
[3,2,1,4,5,6,7,9,8]=>[2,3,1,4,5,6,7,9,8]
[1,3,2,4,5,6,8,7,9]=>[1,3,2,4,5,6,8,7,9]
[3,4,5,9,1,2,6,7,8]=>[9,1,3,4,5,2,6,7,8]
[4,3,9,5,6,7,8,2,1]=>[2,8,4,3,9,5,6,7,1]
[3,2,8,5,6,7,1,9,4]=>[7,3,2,9,8,5,6,1,4]
[7,8,4,5,6,1,3,9,2]=>[6,9,1,8,4,5,7,3,2]
[3,4,1,9,6,7,8,2,5]=>[4,8,3,1,2,9,6,7,5]
[4,8,9,5,6,7,2,1,3]=>[2,7,1,4,9,5,6,8,3]
[4,2,3,8,6,7,1,9,5]=>[7,4,2,3,9,8,6,1,5]
[6,8,4,5,1,3,7,9,2]=>[5,9,1,8,4,6,3,7,2]
[3,5,1,4,9,7,8,2,6]=>[5,8,3,1,4,2,9,7,6]
[8,3,4,9,6,7,2,5,1]=>[5,7,8,3,2,9,6,4,1]
[4,7,9,5,6,2,1,8,3]=>[2,6,8,4,9,5,7,1,3]
[8,1,2,5,3,4,6,7,9]=>[8,1,5,3,2,4,6,7,9]
[1,9,2,3,6,4,5,7,8]=>[1,9,2,6,4,3,5,7,8]
[8,1,2,6,4,3,5,7,9]=>[8,1,4,6,3,2,5,7,9]
[8,1,2,6,3,5,4,7,9]=>[8,1,6,5,3,2,4,7,9]
[1,9,2,3,7,5,4,6,8]=>[1,9,2,5,7,4,3,6,8]
[1,9,2,3,7,4,6,5,8]=>[1,9,2,7,6,4,3,5,8]
[4,3,8,7,6,5,2,1,9]=>[2,5,4,3,6,7,8,1,9]
[8,3,7,6,5,4,2,1,9]=>[2,4,5,6,7,8,1,3,9]
[5,4,9,8,7,6,3,1,2]=>[3,1,6,5,4,7,8,9,2]
[9,4,8,7,6,5,3,1,2]=>[3,1,5,6,7,8,9,2,4]
[5,6,7,8,9,3,2,1,4]=>[2,3,9,1,5,6,7,8,4]
[6,7,8,9,3,4,1,2,5]=>[4,1,9,3,2,6,7,8,5]
[6,7,8,9,3,4,2,1,5]=>[2,4,9,3,1,6,7,8,5]
[7,8,9,3,4,5,1,2,6]=>[5,1,9,3,4,2,7,8,6]
[7,8,9,3,4,5,2,1,6]=>[2,5,9,3,4,1,7,8,6]
[7,8,9,4,5,2,3,1,6]=>[3,5,2,9,4,1,7,8,6]
[7,8,9,4,5,3,2,1,6]=>[2,3,5,9,4,1,7,8,6]
[8,9,4,5,6,2,3,1,7]=>[3,6,2,9,4,5,1,8,7]
[8,9,4,5,6,3,2,1,7]=>[2,3,6,9,4,5,1,8,7]
[8,9,5,6,3,4,1,2,7]=>[4,1,6,3,9,5,2,8,7]
[8,9,5,6,3,4,2,1,7]=>[2,4,6,3,9,5,1,8,7]
[8,9,5,6,4,3,2,1,7]=>[2,3,4,6,9,5,1,8,7]
[9,6,7,4,5,3,2,1,8]=>[2,3,5,7,4,9,6,1,8]
[1,5,3,4,6,7,8,9,2]=>[1,9,5,3,4,6,7,8,2]
[1,4,5,3,6,7,8,9,2]=>[1,9,5,4,3,6,7,8,2]
[4,2,6,1,3,5,8,7,9]=>[6,4,1,2,3,5,8,7,9]
[4,2,6,1,8,3,5,7,9]=>[6,4,8,2,3,1,5,7,9]
[4,2,8,1,3,6,5,7,9]=>[8,4,1,2,6,3,5,7,9]
[4,2,6,1,9,3,5,8,7]=>[6,4,9,2,3,1,8,5,7]
[9,7,1,8,2,3,4,5,6]=>[7,9,1,3,4,5,8,2,6]
[9,6,1,7,2,8,3,4,5]=>[6,9,7,1,4,8,2,3,5]
[8,6,1,9,7,2,3,4,5]=>[6,8,1,3,4,7,9,2,5]
[9,8,6,1,7,2,3,4,5]=>[6,8,1,3,4,7,2,9,5]
[8,5,1,9,6,2,7,3,4]=>[5,8,6,3,9,7,1,2,4]
[9,8,5,1,6,2,7,3,4]=>[5,8,6,1,7,2,3,9,4]
[9,7,5,1,8,6,2,3,4]=>[5,7,2,3,6,9,8,1,4]
[9,8,7,5,1,6,2,3,4]=>[5,7,1,3,6,2,8,9,4]
[9,7,4,1,8,5,2,6,3]=>[4,7,5,9,6,2,8,1,3]
[9,8,7,4,1,5,2,6,3]=>[4,7,5,6,2,3,8,9,1]
[8,6,4,1,9,7,5,2,3]=>[4,6,2,5,8,7,9,1,3]
[9,8,6,4,1,7,5,2,3]=>[4,6,2,5,8,7,1,9,3]
[9,8,7,6,4,1,5,2,3]=>[4,6,1,5,2,7,8,9,3]
[9,8,7,5,3,1,6,4,2]=>[3,5,4,7,6,1,8,9,2]
[9,1,2,8,4,3,5,6,7]=>[9,1,4,8,3,5,6,2,7]
[8,1,9,3,2,4,6,5,7]=>[8,3,9,2,6,4,5,1,7]
[9,8,2,1,3,5,6,4,7]=>[2,8,1,6,3,5,4,9,7]
[8,1,9,2,4,5,6,3,7]=>[8,9,6,2,4,5,3,1,7]
[8,6,5,4,3,2,7,1,9]=>[7,3,4,5,6,8,2,1,9]
[8,7,6,9,5,3,2,1,4]=>[2,3,5,1,9,7,8,6,4]
[1,4,3,6,5,8,7,9,2]=>[1,9,4,3,6,5,8,7,2]
[1,4,2,6,5,8,7,9,3]=>[1,4,9,2,6,5,8,7,3]
[1,5,2,6,4,8,7,9,3]=>[1,5,9,6,2,4,8,7,3]
[1,5,2,7,4,8,6,9,3]=>[1,5,9,7,2,8,4,6,3]
[1,5,2,7,4,9,6,8,3]=>[1,5,8,7,2,9,4,6,3]
[1,5,2,7,4,6,9,8,3]=>[1,5,8,7,2,4,6,9,3]
[1,5,2,4,7,6,9,8,3]=>[1,5,8,2,4,7,6,9,3]
[1,2,5,4,7,6,9,8,3]=>[1,2,8,5,4,7,6,9,3]
[1,5,2,6,3,8,7,9,4]=>[1,5,6,9,2,3,8,7,4]
[1,6,2,7,4,8,5,9,3]=>[1,6,9,7,8,2,4,5,3]
[1,5,2,8,4,9,6,7,3]=>[1,5,7,8,2,9,6,4,3]
[1,5,2,7,4,6,8,9,3]=>[1,5,9,7,2,4,6,8,3]
[1,5,2,4,7,9,6,8,3]=>[1,5,8,2,4,9,7,6,3]
[1,2,5,7,4,6,9,8,3]=>[1,2,8,7,5,4,6,9,3]
[4,5,6,7,9,8,3,2,1]=>[2,3,8,4,5,6,7,9,1]
[5,4,6,7,8,9,3,2,1]=>[2,3,9,5,4,6,7,8,1]
[6,5,7,8,9,4,3,2,1]=>[2,3,4,9,6,5,7,8,1]
[4,5,6,7,3,9,8,2,1]=>[2,8,7,4,5,6,3,9,1]
[3,5,6,7,9,8,4,2,1]=>[2,4,3,8,5,6,7,9,1]
[5,4,6,7,8,3,9,2,1]=>[2,9,8,5,4,6,7,3,1]
[4,3,6,7,8,9,5,2,1]=>[2,5,4,3,9,6,7,8,1]
[3,4,5,6,8,9,7,1,2]=>[7,1,3,4,5,6,9,8,2]
[3,4,5,7,8,9,6,1,2]=>[6,1,3,4,5,9,7,8,2]
[3,5,6,7,8,9,4,1,2]=>[4,1,3,9,5,6,7,8,2]
[4,5,6,7,8,9,3,1,2]=>[3,1,9,4,5,6,7,8,2]
[3,4,5,8,1,9,7,6,2]=>[8,6,3,4,5,7,9,1,2]
[3,4,7,1,8,9,6,5,2]=>[7,5,3,4,6,9,1,8,2]
[3,6,1,7,8,9,4,5,2]=>[6,5,3,9,4,1,7,8,2]
[5,1,6,7,8,9,4,3,2]=>[5,3,4,9,1,6,7,8,2]
[1,5,6,7,8,9,3,2,4]=>[1,3,9,2,5,6,7,8,4]
[3,4,5,8,9,6,7,1,2]=>[7,1,3,4,5,9,6,8,2]
[3,4,7,8,5,9,6,1,2]=>[6,1,3,4,9,8,7,2,5]
[3,4,5,9,1,6,7,8,2]=>[9,8,3,4,5,1,6,7,2]
[3,4,8,1,5,9,7,6,2]=>[8,6,3,4,1,7,9,5,2]
[5,6,3,7,8,9,4,1,2]=>[4,1,9,6,5,2,7,8,3]
[3,7,1,4,8,9,6,5,2]=>[7,5,3,1,6,9,4,8,2]
[5,2,6,7,8,9,3,1,4]=>[3,9,5,2,1,6,7,8,4]
[6,1,3,7,8,9,4,5,2]=>[6,5,1,9,4,3,7,8,2]
[1,2,6,7,8,9,4,3,5]=>[1,2,4,9,3,6,7,8,5]
[1,2,3,4,9,5,8,6,7]=>[1,2,3,4,9,8,6,5,7]
[1,2,3,4,9,5,8,7,6]=>[1,2,3,4,9,7,8,5,6]
[1,2,3,9,4,5,6,8,7]=>[1,2,3,9,4,5,8,6,7]
[1,2,3,9,4,5,8,6,7]=>[1,2,3,9,4,8,6,5,7]
[1,2,3,9,4,5,8,7,6]=>[1,2,3,9,4,7,8,5,6]
[1,2,3,9,4,8,7,6,5]=>[1,2,3,9,6,7,8,4,5]
[1,2,9,3,4,8,5,6,7]=>[1,2,9,3,8,5,6,4,7]
[1,2,9,3,4,8,5,7,6]=>[1,2,9,3,8,7,5,4,6]
[1,2,9,3,4,8,7,6,5]=>[1,2,9,3,6,7,8,4,5]
[1,2,9,3,8,4,7,6,5]=>[1,2,9,8,6,7,4,3,5]
[1,2,9,3,8,7,6,5,4]=>[1,2,9,5,6,7,8,3,4]
[1,9,2,8,3,7,6,5,4]=>[1,9,8,5,6,7,3,2,4]
[8,1,7,2,9,3,4,5,6]=>[8,7,9,3,4,5,1,2,6]
[8,1,7,2,6,3,9,4,5]=>[8,7,6,9,4,2,1,3,5]
[7,1,6,2,9,3,8,4,5]=>[7,6,9,8,4,1,2,3,5]
[7,1,6,2,8,3,9,4,5]=>[7,6,8,9,4,1,2,3,5]
[8,1,7,2,6,5,3,9,4]=>[8,7,5,6,9,2,1,4,3]
[7,1,6,5,2,9,3,8,4]=>[7,5,6,9,8,1,3,4,2]
[7,1,6,5,2,8,3,9,4]=>[7,5,6,8,9,1,3,4,2]
[6,5,1,8,2,7,3,9,4]=>[5,6,8,7,9,2,3,4,1]
[6,5,1,7,2,8,3,9,4]=>[5,6,7,8,9,2,3,4,1]
[4,5,6,8,1,7,2,9,3]=>[8,7,9,4,5,6,1,2,3]
[7,4,5,6,1,9,2,8,3]=>[6,9,8,7,4,5,1,2,3]
[7,4,5,6,1,8,2,9,3]=>[6,8,9,7,4,5,1,2,3]
[6,4,5,7,1,8,2,9,3]=>[7,8,9,6,4,5,1,2,3]
[5,6,4,7,1,8,2,9,3]=>[7,8,9,6,5,4,1,2,3]
[6,5,3,8,4,7,1,9,2]=>[7,9,5,6,8,4,3,1,2]
[6,5,3,7,4,8,1,9,2]=>[8,9,5,6,7,4,3,1,2]
[5,6,3,7,4,8,1,9,2]=>[8,9,6,7,5,3,4,1,2]
[5,6,4,7,3,8,1,9,2]=>[8,9,7,6,5,4,3,1,2]
[9,3,4,5,6,8,7,2,1]=>[2,7,8,1,4,5,9,6,3]
[9,4,3,5,6,7,8,2,1]=>[2,8,4,9,3,5,6,7,1]
[9,8,3,4,5,7,6,2,1]=>[2,6,7,1,4,8,5,9,3]
[9,8,4,3,5,6,7,2,1]=>[2,7,4,8,3,5,6,9,1]
[9,3,4,5,6,2,8,7,1]=>[7,6,8,1,4,5,9,2,3]
[9,2,4,5,6,8,7,3,1]=>[3,7,8,2,4,5,9,6,1]
[9,4,3,5,6,7,2,8,1]=>[8,7,4,9,3,5,6,2,1]
[9,3,2,5,6,7,8,4,1]=>[4,3,8,9,1,5,6,7,2]
[1,2,3,4,8,5,9,6,7]=>[1,2,3,4,8,9,6,5,7]
[1,2,3,7,4,5,8,6,9]=>[1,2,3,7,4,8,5,6,9]
[1,2,3,4,8,6,5,7,9]=>[1,2,3,4,6,8,5,7,9]
[1,2,3,4,9,7,5,6,8]=>[1,2,3,4,7,5,9,6,8]
[2,1,4,9,3,5,6,7,8]=>[2,1,9,4,3,5,6,7,8]
[3,7,1,2,4,5,6,9,8]=>[7,1,3,2,4,5,6,9,8]
[3,1,2,6,9,4,5,7,8]=>[3,1,2,9,4,6,5,7,8]
[4,6,1,2,3,5,9,7,8]=>[6,1,2,4,3,5,9,7,8]
[1,2,3,4,7,8,9,5,6]=>[1,2,3,4,9,5,7,8,6]
[1,2,3,4,6,8,9,5,7]=>[1,2,3,4,9,6,5,8,7]
[9,7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,9,3,1]
[9,8,6,5,4,7,3,2,1]=>[2,3,7,5,6,8,4,9,1]
[5,4,3,2,1,9,7,8,6]=>[2,3,4,5,1,8,9,7,6]
[6,4,2,1,3,5,8,7,9]=>[2,4,1,6,3,5,8,7,9]
[9,8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,9,7]
[7,6,4,2,1,3,5,9,8]=>[2,4,1,6,3,7,5,9,8]
[5,4,2,1,3,7,6,9,8]=>[2,4,1,5,3,7,6,9,8]
[8,4,2,1,3,6,5,7,9]=>[2,4,1,8,6,3,5,7,9]
[9,6,4,2,1,3,5,8,7]=>[2,4,1,6,3,9,8,5,7]
[7,6,4,2,1,3,5,8,9]=>[2,4,1,6,3,7,5,8,9]
[5,4,2,1,3,9,8,6,7]=>[2,4,1,5,3,8,6,9,7]
[9,8,4,7,5,6,3,2,1]=>[2,3,6,8,7,5,4,9,1]
[8,7,4,3,6,5,2,1,9]=>[2,5,4,6,7,1,8,3,9]
[8,7,3,6,5,4,2,1,9]=>[2,4,5,6,7,3,8,1,9]
[9,8,3,7,5,6,4,2,1]=>[2,4,6,8,7,5,1,9,3]
[6,5,7,8,1,2,3,4,9]=>[8,1,2,3,6,5,7,4,9]
[1,7,6,8,9,2,3,4,5]=>[1,9,2,3,4,7,6,8,5]
[6,7,5,8,1,2,3,4,9]=>[8,1,2,3,7,6,5,4,9]
[7,5,6,8,1,2,3,4,9]=>[8,1,2,3,7,5,6,4,9]
[1,7,8,6,9,2,3,4,5]=>[1,9,2,3,4,8,7,6,5]
[1,8,6,7,9,2,3,4,5]=>[1,9,2,3,4,8,6,7,5]
[2,3,4,5,1,6,9,8,7]=>[5,2,3,4,1,6,8,9,7]
[2,3,5,1,4,6,9,7,8]=>[5,2,3,1,4,6,9,7,8]
[2,3,1,4,5,6,9,8,7]=>[3,2,1,4,5,6,8,9,7]
[2,1,3,4,5,6,9,8,7]=>[2,1,3,4,5,6,8,9,7]
[3,4,5,7,1,8,9,6,2]=>[7,6,3,4,5,9,1,8,2]
[3,4,6,1,7,2,9,8,5]=>[6,7,3,4,8,1,2,9,5]
[2,4,1,5,3,6,9,7,8]=>[4,2,5,1,3,6,9,7,8]
[4,1,5,2,3,6,9,8,7]=>[4,5,2,1,3,6,8,9,7]
[2,3,4,5,1,9,6,8,7]=>[5,2,3,4,1,9,8,6,7]
[2,3,4,1,5,7,9,8,6]=>[4,2,3,1,5,8,7,9,6]
[2,3,4,6,9,1,5,7,8]=>[9,2,3,4,1,6,5,7,8]
[2,3,1,4,7,5,9,6,8]=>[3,2,1,4,7,9,5,6,8]
[3,4,6,1,7,8,9,5,2]=>[6,5,3,4,9,1,7,8,2]
[2,1,3,5,4,6,9,8,7]=>[2,1,3,5,4,6,8,9,7]
[3,5,1,6,7,2,9,8,4]=>[5,7,3,8,1,6,2,9,4]
[1,2,4,3,5,6,9,8,7]=>[1,2,4,3,5,6,8,9,7]
[3,1,4,5,2,6,9,7,8]=>[3,5,1,4,2,6,9,7,8]
[1,4,5,2,3,6,9,8,7]=>[1,5,2,4,3,6,8,9,7]
[8,9,3,1,2,4,5,6,7]=>[3,1,9,2,4,5,6,8,7]
[8,9,2,3,1,4,5,6,7]=>[3,9,2,1,4,5,6,8,7]
[1,2,6,3,4,5,7,8,9]=>[1,2,6,3,4,5,7,8,9]
[1,4,5,2,3,6,7,8,9]=>[1,5,2,4,3,6,7,8,9]
[1,2,3,8,4,5,6,7,9]=>[1,2,3,8,4,5,6,7,9]
[1,4,2,7,3,5,6,8,9]=>[1,4,7,2,3,5,6,8,9]
[1,5,4,6,2,3,7,8,9]=>[1,6,2,5,4,3,7,8,9]
[1,4,2,3,9,5,6,7,8]=>[1,4,2,3,9,5,6,7,8]
[1,2,4,7,8,3,5,6,9]=>[1,2,8,4,3,5,7,6,9]
[1,5,4,2,8,3,6,7,9]=>[1,4,5,8,3,2,6,7,9]
[1,3,7,5,6,2,4,8,9]=>[1,6,3,2,7,5,4,8,9]
[1,6,5,4,7,2,3,8,9]=>[1,7,2,5,6,4,3,8,9]
[1,3,2,7,8,9,4,5,6]=>[1,3,2,9,4,5,7,8,6]
[1,6,5,4,2,9,3,7,8]=>[1,4,5,6,9,2,3,7,8]
[1,3,7,8,5,6,2,4,9]=>[1,6,3,2,8,5,7,4,9]
[1,7,6,5,4,8,2,3,9]=>[1,8,2,5,6,7,4,3,9]
[1,3,9,4,8,6,7,2,5]=>[1,7,3,9,2,8,6,4,5]
[1,3,8,7,9,5,6,2,4]=>[1,6,3,2,9,5,8,7,4]
[1,8,7,6,5,4,9,2,3]=>[1,9,2,5,6,7,8,4,3]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]
[3,4,1,2,6,5,8,7,10,9]=>[4,1,3,2,6,5,8,7,10,9]
[4,3,2,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]
[6,3,2,5,4,1,8,7,10,9]=>[4,3,5,6,1,2,8,7,10,9]
[8,3,2,5,4,7,6,1,10,9]=>[6,3,7,5,1,8,4,2,10,9]
[10,3,2,5,4,7,6,9,8,1]=>[8,3,9,5,1,7,4,10,6,2]
[6,4,5,2,3,1,8,7,10,9]=>[3,5,2,6,4,1,8,7,10,9]
[4,5,6,1,2,3,8,7,10,9]=>[6,1,2,4,5,3,8,7,10,9]
[3,5,1,6,2,4,8,7,10,9]=>[5,6,3,2,1,4,8,7,10,9]
[2,1,5,6,3,4,8,7,10,9]=>[2,1,6,3,5,4,8,7,10,9]
[2,1,6,5,4,3,8,7,10,9]=>[2,1,4,5,6,3,8,7,10,9]
[6,5,4,3,2,1,8,7,10,9]=>[2,3,4,5,6,1,8,7,10,9]
[8,5,4,3,2,7,6,1,10,9]=>[6,3,4,5,7,8,1,2,10,9]
[10,5,4,3,2,7,6,9,8,1]=>[8,3,4,5,9,7,1,10,6,2]
[2,1,8,5,4,7,6,3,10,9]=>[2,1,6,5,7,8,3,4,10,9]
[8,7,4,3,6,5,2,1,10,9]=>[2,5,4,6,7,1,8,3,10,9]
[10,7,4,3,6,5,2,9,8,1]=>[8,5,4,6,7,1,9,10,3,2]
[2,1,10,5,4,7,6,9,8,3]=>[2,1,8,5,9,7,3,10,6,4]
[10,9,4,3,6,5,8,7,2,1]=>[2,7,4,8,6,1,9,5,10,3]
[8,9,5,6,3,4,10,1,2,7]=>[10,1,6,3,9,5,2,8,4,7]
[2,1,8,6,7,4,5,3,10,9]=>[2,1,5,7,4,8,6,3,10,9]
[5,6,7,8,1,2,3,4,10,9]=>[8,1,2,3,5,6,7,4,10,9]
[4,6,7,1,8,2,3,5,10,9]=>[7,8,2,4,3,6,1,5,10,9]
[3,6,1,7,8,2,4,5,10,9]=>[6,8,3,2,4,1,7,5,10,9]
[2,1,6,7,8,3,4,5,10,9]=>[2,1,8,3,4,6,7,5,10,9]
[2,1,5,7,3,8,4,6,10,9]=>[2,1,7,8,5,4,3,6,10,9]
[3,5,1,7,2,8,4,6,10,9]=>[5,7,3,8,1,4,2,6,10,9]
[4,5,7,1,2,8,3,6,10,9]=>[7,1,8,4,5,3,2,6,10,9]
[3,4,1,2,7,8,5,6,10,9]=>[4,1,3,2,8,5,7,6,10,9]
[2,1,4,3,7,8,5,6,10,9]=>[2,1,4,3,8,5,7,6,10,9]
[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,6,7,8,5,10,9]
[4,3,2,1,8,7,6,5,10,9]=>[2,3,4,1,6,7,8,5,10,9]
[8,3,2,7,6,5,4,1,10,9]=>[4,3,5,6,7,8,1,2,10,9]
[10,3,2,7,6,5,4,9,8,1]=>[8,3,9,5,6,7,1,10,4,2]
[2,1,8,7,6,5,4,3,10,9]=>[2,1,4,5,6,7,8,3,10,9]
[8,7,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,7,8,1,10,9]
[9,7,6,5,4,3,2,10,1,8]=>[10,3,4,5,6,7,9,1,2,8]
[10,7,6,5,4,3,2,9,8,1]=>[8,3,4,5,6,7,9,10,1,2]
[2,1,10,7,6,5,4,9,8,3]=>[2,1,8,5,6,7,9,10,3,4]
[10,9,6,5,4,3,8,7,2,1]=>[2,7,4,5,6,8,9,1,10,3]
[2,1,4,3,10,7,6,9,8,5]=>[2,1,4,3,8,7,9,10,5,6]
[4,3,2,1,10,7,6,9,8,5]=>[2,3,4,1,8,7,9,10,5,6]
[10,3,2,9,6,5,8,7,4,1]=>[4,3,7,8,6,10,9,2,5,1]
[2,1,10,9,6,5,8,7,4,3]=>[2,1,4,7,6,8,9,3,10,5]
[10,9,8,5,4,7,6,3,2,1]=>[2,3,6,5,7,8,1,9,10,4]
[4,9,10,1,7,8,5,6,2,3]=>[10,6,2,4,8,5,1,7,9,3]
[10,8,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,10,8,1]
[2,1,4,3,10,8,9,6,7,5]=>[2,1,4,3,7,9,6,10,8,5]
[7,6,9,8,10,2,1,4,3,5]=>[2,10,4,1,3,7,6,9,8,5]
[6,7,9,8,10,1,2,4,3,5]=>[10,1,4,2,3,6,7,9,8,5]
[6,8,9,7,10,1,4,2,3,5]=>[10,4,2,1,3,6,9,8,7,5]
[7,8,9,6,10,4,1,2,3,5]=>[4,1,2,10,3,9,7,8,6,5]
[8,7,9,6,10,4,2,1,3,5]=>[2,4,1,10,3,9,8,7,6,5]
[9,8,7,6,10,4,3,2,1,5]=>[2,3,4,10,1,7,8,9,6,5]
[8,9,7,6,10,4,3,1,2,5]=>[3,1,4,10,2,7,9,8,6,5]
[7,9,8,6,10,4,1,3,2,5]=>[4,3,1,10,2,8,7,9,6,5]
[6,9,8,7,10,1,4,3,2,5]=>[10,3,4,1,2,6,8,9,7,5]
[9,7,6,8,10,3,2,4,1,5]=>[4,3,10,2,1,7,9,6,8,5]
[8,7,6,9,10,3,2,1,4,5]=>[2,3,10,1,4,7,8,6,9,5]
[7,8,6,9,10,3,1,2,4,5]=>[3,1,10,2,4,8,7,6,9,5]
[6,8,7,9,10,1,3,2,4,5]=>[10,3,1,2,4,6,8,7,9,5]
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,3,4,5,7,8,9,6]
[3,7,1,8,9,10,2,4,5,6]=>[7,10,3,2,4,5,1,8,9,6]
[4,7,8,1,9,10,2,3,5,6]=>[8,10,2,4,3,5,7,1,9,6]
[5,7,8,9,1,10,2,3,4,6]=>[9,10,2,3,5,4,7,8,1,6]
[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]
[7,6,8,9,10,2,1,3,4,5]=>[2,10,1,3,4,7,6,8,9,5]
[5,6,8,9,1,2,10,3,4,7]=>[9,1,10,3,5,6,4,8,2,7]
[4,6,8,1,9,2,10,3,5,7]=>[8,9,10,4,3,6,5,1,2,7]
[3,6,1,8,9,2,10,4,5,7]=>[6,9,3,10,4,1,5,8,2,7]
[2,1,6,8,9,3,10,4,5,7]=>[2,1,9,10,4,6,5,8,3,7]
[2,1,5,8,3,9,10,4,6,7]=>[2,1,8,10,5,4,6,3,9,7]
[3,5,1,8,2,9,10,4,6,7]=>[5,8,3,10,1,4,6,2,9,7]
[4,5,8,1,2,9,10,3,6,7]=>[8,1,10,4,5,3,6,2,9,7]
[7,3,2,8,9,10,1,4,5,6]=>[10,3,7,1,4,5,2,8,9,6]
[3,4,1,2,8,9,10,5,6,7]=>[4,1,3,2,10,5,6,8,9,7]
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,5,6,8,9,7]
[2,1,4,3,7,9,5,10,6,8]=>[2,1,4,3,9,10,7,6,5,8]
[3,4,1,2,7,9,5,10,6,8]=>[4,1,3,2,9,10,7,6,5,8]
[4,5,7,1,2,9,3,10,6,8]=>[7,1,9,4,5,10,2,6,3,8]
[3,5,1,7,2,9,4,10,6,8]=>[5,7,3,9,1,10,2,6,4,8]
[2,1,5,7,3,9,4,10,6,8]=>[2,1,7,9,5,10,3,6,4,8]
[2,1,6,7,9,3,4,10,5,8]=>[2,1,9,3,10,6,7,5,4,8]
[3,6,1,7,9,2,4,10,5,8]=>[6,9,3,2,10,1,7,5,4,8]
[4,6,7,1,9,2,3,10,5,8]=>[7,9,2,4,10,6,1,5,3,8]
[5,6,7,9,1,2,3,10,4,8]=>[9,1,2,10,5,6,7,4,3,8]
[8,5,4,3,2,9,10,1,6,7]=>[10,3,4,5,8,1,6,2,9,7]
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,3,5,4,10,7,9,8]
[3,5,1,6,2,4,9,10,7,8]=>[5,6,3,2,1,4,10,7,9,8]
[4,5,6,1,2,3,9,10,7,8]=>[6,1,2,4,5,3,10,7,9,8]
[3,4,1,2,6,5,9,10,7,8]=>[4,1,3,2,6,5,10,7,9,8]
[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,7,9,8]
[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,7]
[4,3,2,1,6,5,10,9,8,7]=>[2,3,4,1,6,5,8,9,10,7]
[6,3,2,5,4,1,10,9,8,7]=>[4,3,5,6,1,2,8,9,10,7]
[10,3,2,5,4,9,8,7,6,1]=>[6,3,7,5,1,8,9,10,4,2]
[2,1,6,5,4,3,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,7]
[6,5,4,3,2,1,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,7]
[7,5,4,3,2,10,1,9,8,6]=>[10,3,4,5,7,8,2,9,1,6]
[8,5,4,3,2,10,9,1,7,6]=>[9,3,4,5,8,7,1,2,10,6]
[10,5,4,3,2,9,8,7,6,1]=>[6,3,4,5,7,8,9,10,1,2]
[8,6,4,3,10,2,9,1,7,5]=>[9,10,4,6,8,7,1,5,2,3]
[8,7,4,3,10,9,2,1,6,5]=>[2,9,4,7,6,1,8,3,10,5]
[10,7,4,3,9,8,2,6,5,1]=>[5,6,4,8,7,1,9,10,3,2]
[2,1,10,5,4,9,8,7,6,3]=>[2,1,6,5,7,8,9,10,3,4]
[10,9,4,3,8,7,6,5,2,1]=>[2,5,4,6,7,8,9,1,10,3]
[8,10,5,9,3,7,6,1,4,2]=>[6,4,7,3,9,10,5,8,1,2]
[7,10,5,9,3,8,1,6,4,2]=>[8,4,6,9,10,1,7,2,5,3]
[9,7,5,10,3,8,2,6,1,4]=>[6,8,10,1,7,2,9,3,5,4]
[5,6,7,10,1,2,3,9,8,4]=>[10,1,2,8,5,6,7,9,3,4]
[7,6,8,10,9,2,1,3,5,4]=>[2,9,1,5,3,7,6,8,10,4]
[6,7,8,10,9,1,2,3,5,4]=>[9,1,2,5,3,6,7,8,10,4]
[6,8,7,10,9,1,3,2,5,4]=>[9,3,1,5,2,6,8,7,10,4]
[7,8,6,10,9,3,1,2,5,4]=>[3,1,9,5,2,8,7,6,10,4]
[8,7,6,10,9,3,2,1,5,4]=>[2,3,9,5,1,7,8,6,10,4]
[6,9,8,10,7,1,5,3,2,4]=>[7,3,5,2,1,6,10,9,8,4]
[7,9,8,10,6,5,1,3,2,4]=>[5,3,1,2,6,10,7,9,8,4]
[8,9,7,10,6,5,3,1,2,4]=>[3,1,5,2,6,10,9,8,7,4]
[9,8,7,10,6,5,3,2,1,4]=>[2,3,5,1,6,10,8,9,7,4]
[8,7,9,10,6,5,2,1,3,4]=>[2,5,1,3,6,10,8,7,9,4]
[7,8,9,10,6,5,1,2,3,4]=>[5,1,2,3,6,10,7,8,9,4]
[6,8,9,10,7,1,5,2,3,4]=>[7,5,2,3,1,6,10,8,9,4]
[6,7,9,10,8,1,2,5,3,4]=>[8,1,5,3,2,6,7,10,9,4]
[7,6,9,10,8,2,1,5,3,4]=>[2,8,5,3,1,7,6,10,9,4]
[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,10,5]
[4,3,2,1,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,5]
[5,3,2,10,1,9,8,7,6,4]=>[10,3,5,6,2,7,8,9,1,4]
[6,3,2,10,9,1,8,7,5,4]=>[9,3,6,5,7,2,8,1,10,4]
[7,3,2,10,9,8,1,6,5,4]=>[8,3,7,5,6,1,2,9,10,4]
[8,3,2,10,9,7,6,1,5,4]=>[6,3,7,5,1,9,8,2,10,4]
[10,3,2,9,8,7,6,5,4,1]=>[4,3,5,6,7,8,9,10,1,2]
[7,4,10,2,9,8,1,6,5,3]=>[8,9,5,6,7,2,3,10,1,4]
[6,4,10,2,9,1,8,7,5,3]=>[9,10,5,7,6,3,8,1,2,4]
[4,5,10,1,2,9,8,7,6,3]=>[10,1,6,4,5,7,8,9,2,3]
[6,5,10,9,2,1,8,7,4,3]=>[2,9,4,7,6,5,8,1,10,3]
[8,5,10,9,2,7,6,1,4,3]=>[6,7,4,2,9,8,5,1,10,3]
[7,6,10,9,8,2,1,5,4,3]=>[2,8,4,5,1,7,6,9,10,3]
[6,7,10,9,8,1,2,5,4,3]=>[8,1,4,5,2,6,7,9,10,3]
[6,8,10,9,7,1,5,2,4,3]=>[7,5,4,2,1,6,9,8,10,3]
[7,8,10,9,6,5,1,2,4,3]=>[5,1,4,2,6,9,7,8,10,3]
[8,7,10,9,6,5,2,1,4,3]=>[2,5,4,1,6,9,8,7,10,3]
[9,8,10,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,10,9,8,3]
[8,9,10,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,10,8,9,3]
[7,9,10,8,6,5,1,4,2,3]=>[5,4,2,1,6,8,7,10,9,3]
[6,9,10,8,7,1,5,4,2,3]=>[7,4,2,5,1,6,8,10,9,3]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3]
[3,10,1,9,8,7,6,5,4,2]=>[10,4,3,5,6,7,8,9,1,2]
[4,10,9,1,8,7,6,5,3,2]=>[9,3,5,4,6,7,8,1,10,2]
[5,10,9,8,1,7,6,4,3,2]=>[8,3,4,6,5,7,1,9,10,2]
[6,10,9,8,7,1,5,4,3,2]=>[7,3,4,5,1,6,8,9,10,2]
[7,10,9,8,6,5,1,4,3,2]=>[5,3,4,1,6,8,7,9,10,2]
[8,10,9,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,9,8,10,2]
[9,10,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,10,9,2]
[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]
[3,4,2,1,6,5,8,7,10,9]=>[2,4,3,1,6,5,8,7,10,9]
[3,5,2,6,4,1,8,7,10,9]=>[4,6,3,5,1,2,8,7,10,9]
[3,5,2,7,4,8,6,1,10,9]=>[6,5,3,8,2,7,1,4,10,9]
[3,5,2,7,4,9,6,10,8,1]=>[8,5,3,7,2,10,4,9,1,6]
[2,1,5,6,4,3,8,7,10,9]=>[2,1,4,6,5,3,8,7,10,9]
[4,5,6,3,2,1,8,7,10,9]=>[2,3,6,4,5,1,8,7,10,9]
[4,5,7,3,2,8,6,1,10,9]=>[6,3,8,4,5,7,1,2,10,9]
[4,5,7,3,2,9,6,10,8,1]=>[8,3,7,4,5,10,2,9,1,6]
[2,1,5,7,4,8,6,3,10,9]=>[2,1,6,8,5,7,3,4,10,9]
[4,6,7,3,8,5,2,1,10,9]=>[2,5,8,4,7,6,1,3,10,9]
[4,6,7,3,9,5,2,10,8,1]=>[8,5,10,4,7,6,2,9,1,3]
[2,1,5,7,4,9,6,10,8,3]=>[2,1,8,7,5,10,4,9,3,6]
[4,6,8,3,9,5,10,7,2,1]=>[2,7,10,4,8,6,9,5,1,3]
[2,1,4,3,7,8,6,5,10,9]=>[2,1,4,3,6,8,7,5,10,9]
[3,4,2,1,7,8,6,5,10,9]=>[2,4,3,1,6,8,7,5,10,9]
[3,6,2,7,8,5,4,1,10,9]=>[4,5,3,8,6,2,7,1,10,9]
[3,6,2,7,9,5,4,10,8,1]=>[8,6,3,5,10,2,7,9,1,4]
[2,1,6,7,8,5,4,3,10,9]=>[2,1,4,5,8,6,7,3,10,9]
[5,6,7,8,4,3,2,1,10,9]=>[2,3,4,8,5,6,7,1,10,9]
[5,6,7,9,4,3,2,10,8,1]=>[8,3,4,10,5,6,7,9,1,2]
[2,1,6,7,9,5,4,10,8,3]=>[2,1,8,5,10,6,7,9,3,4]
[5,6,8,9,4,3,10,7,2,1]=>[2,7,4,10,5,6,9,8,1,3]
[2,1,4,3,7,9,6,10,8,5]=>[2,1,4,3,8,10,7,9,5,6]
[3,4,2,1,7,9,6,10,8,5]=>[2,4,3,1,8,10,7,9,5,6]
[3,6,2,8,9,5,10,7,4,1]=>[4,7,3,6,10,1,9,8,2,5]
[2,1,6,8,9,5,10,7,4,3]=>[2,1,4,7,10,6,9,8,3,5]
[5,7,8,9,4,10,6,3,2,1]=>[2,3,6,10,5,9,7,8,1,4]
[6,7,8,9,10,4,5,3,2,1]=>[2,3,5,10,4,6,7,8,9,1]
[6,7,8,9,10,1,4,5,3,2]=>[10,3,5,1,4,6,7,8,9,2]
[6,7,8,9,10,1,4,5,2,3]=>[10,5,2,1,4,6,7,8,9,3]
[6,7,8,9,10,4,5,2,3,1]=>[3,5,2,10,4,6,7,8,9,1]
[6,7,8,9,10,4,3,2,1,5]=>[2,3,4,10,1,6,7,8,9,5]
[6,7,8,9,10,3,4,5,2,1]=>[2,5,10,3,4,6,7,8,9,1]
[6,7,8,9,10,3,4,5,1,2]=>[5,1,10,3,4,6,7,8,9,2]
[6,7,8,9,10,1,3,4,5,2]=>[10,5,1,3,4,6,7,8,9,2]
[6,7,8,9,10,3,4,1,2,5]=>[4,1,10,3,2,6,7,8,9,5]
[6,7,8,9,10,3,4,2,1,5]=>[2,4,10,3,1,6,7,8,9,5]
[6,7,8,9,10,2,3,4,1,5]=>[4,10,2,3,1,6,7,8,9,5]
[6,7,8,9,10,2,3,4,5,1]=>[5,10,2,3,4,6,7,8,9,1]
[2,1,4,3,6,5,9,10,8,7]=>[2,1,4,3,6,5,8,10,9,7]
[3,4,2,1,6,5,9,10,8,7]=>[2,4,3,1,6,5,8,10,9,7]
[3,5,2,6,4,1,9,10,8,7]=>[4,6,3,5,1,2,8,10,9,7]
[3,5,2,8,4,9,10,7,6,1]=>[6,5,3,7,2,10,8,4,9,1]
[2,1,5,6,4,3,9,10,8,7]=>[2,1,4,6,5,3,8,10,9,7]
[4,5,6,3,2,1,9,10,8,7]=>[2,3,6,4,5,1,8,10,9,7]
[4,5,8,3,2,9,10,7,6,1]=>[6,3,7,4,5,10,8,2,9,1]
[2,1,5,8,4,9,10,7,6,3]=>[2,1,6,7,5,10,8,4,9,3]
[4,7,8,3,9,10,6,5,2,1]=>[2,5,6,4,10,8,7,3,9,1]
[6,7,8,9,10,1,2,3,5,4]=>[10,1,2,5,3,6,7,8,9,4]
[6,7,8,9,10,1,3,2,5,4]=>[10,3,1,5,2,6,7,8,9,4]
[2,1,4,3,8,9,10,7,6,5]=>[2,1,4,3,6,7,10,8,9,5]
[3,4,2,1,8,9,10,7,6,5]=>[2,4,3,1,6,7,10,8,9,5]
[3,7,2,8,9,10,6,5,4,1]=>[4,5,3,6,10,7,1,8,9,2]
[6,7,8,9,10,2,1,5,4,3]=>[2,10,4,5,1,6,7,8,9,3]
[6,7,8,9,10,1,2,5,4,3]=>[10,1,4,5,2,6,7,8,9,3]
[2,1,7,8,9,10,6,5,4,3]=>[2,1,4,5,6,10,7,8,9,3]
[6,7,8,9,10,1,5,4,3,2]=>[10,3,4,5,1,6,7,8,9,2]
[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1]
[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]
[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]
[2,3,4,5,6,7,8,10,1,9]=>[10,2,3,4,5,6,7,8,1,9]
[2,3,4,5,6,7,9,10,1,8]=>[10,2,3,4,5,6,7,1,9,8]
[2,3,4,5,6,8,9,10,1,7]=>[10,2,3,4,5,6,1,8,9,7]
[2,3,4,5,7,8,9,10,1,6]=>[10,2,3,4,5,1,7,8,9,6]
[2,3,4,6,7,8,9,10,1,5]=>[10,2,3,4,1,6,7,8,9,5]
[2,3,5,6,7,8,9,10,1,4]=>[10,2,3,1,5,6,7,8,9,4]
[2,4,5,6,7,8,9,10,1,3]=>[10,2,1,4,5,6,7,8,9,3]
[3,4,5,6,7,8,9,10,1,2]=>[10,1,3,4,5,6,7,8,9,2]
[10,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,10,8,4]
[10,8,9,4,5,6,1,2,3,7]=>[6,1,2,9,4,5,3,10,8,7]
[10,7,8,5,6,9,1,2,3,4]=>[9,1,2,3,8,5,10,7,6,4]
[10,7,8,4,5,9,1,2,3,6]=>[9,1,2,8,4,3,10,7,5,6]
[10,6,7,4,5,8,1,2,3,9]=>[8,1,2,7,4,10,6,5,3,9]
[10,7,8,3,4,9,1,2,5,6]=>[9,1,8,3,2,5,10,7,4,6]
[10,6,7,3,4,8,1,2,5,9]=>[8,1,7,3,2,10,6,4,5,9]
[9,8,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,9,8,4]
[9,8,10,4,5,6,1,2,3,7]=>[6,1,2,10,4,5,3,9,8,7]
[9,7,10,5,6,8,1,2,3,4]=>[8,1,2,3,10,5,9,6,7,4]
[9,7,10,4,5,8,1,2,3,6]=>[8,1,2,10,4,3,9,5,7,6]
[9,6,10,4,5,7,1,2,3,8]=>[7,1,2,10,4,9,5,3,6,8]
[9,7,10,3,4,8,1,2,5,6]=>[8,1,10,3,2,5,9,4,7,6]
[9,6,10,3,4,7,1,2,5,8]=>[7,1,10,3,2,9,4,5,6,8]
[8,7,9,5,6,10,1,2,3,4]=>[10,1,2,3,9,5,8,7,6,4]
[8,7,9,4,5,10,1,2,3,6]=>[10,1,2,9,4,3,8,7,5,6]
[8,6,9,4,5,10,1,2,3,7]=>[10,1,2,9,4,8,3,6,5,7]
[7,6,8,4,5,9,1,2,3,10]=>[9,1,2,8,4,7,6,5,3,10]
[8,7,9,3,4,10,1,2,5,6]=>[10,1,9,3,2,5,8,7,4,6]
[8,6,9,3,4,10,1,2,5,7]=>[10,1,9,3,2,8,5,6,4,7]
[7,6,8,3,4,9,1,2,5,10]=>[9,1,8,3,2,7,6,4,5,10]
[9,6,10,5,7,8,1,2,3,4]=>[8,1,2,3,10,9,5,7,6,4]
[9,6,10,4,7,8,1,2,3,5]=>[8,1,2,10,3,9,4,7,6,5]
[9,5,10,4,6,7,1,2,3,8]=>[7,1,2,10,9,4,6,3,5,8]
[9,6,10,3,7,8,1,2,4,5]=>[8,1,10,2,4,9,3,7,6,5]
[9,5,10,3,6,7,1,2,4,8]=>[7,1,10,2,9,3,6,4,5,8]
[8,6,9,5,7,10,1,2,3,4]=>[10,1,2,3,9,8,5,6,7,4]
[8,6,9,4,7,10,1,2,3,5]=>[10,1,2,9,3,8,4,6,7,5]
[8,5,9,4,6,10,1,2,3,7]=>[10,1,2,9,8,4,3,5,6,7]
[7,5,8,4,6,9,1,2,3,10]=>[9,1,2,8,7,4,5,6,3,10]
[8,6,9,3,7,10,1,2,4,5]=>[10,1,9,2,4,8,3,6,7,5]
[8,5,9,3,6,10,1,2,4,7]=>[10,1,9,2,8,3,4,5,6,7]
[7,5,8,3,6,9,1,2,4,10]=>[9,1,8,2,7,3,5,6,4,10]
[8,4,9,3,5,10,1,2,6,7]=>[10,1,9,8,3,2,6,4,5,7]
[7,4,8,3,5,9,1,2,6,10]=>[9,1,8,7,3,2,4,5,6,10]
[9,6,10,2,7,8,1,3,4,5]=>[8,10,1,3,4,9,2,7,6,5]
[9,5,10,2,6,7,1,3,4,8]=>[7,10,1,3,9,2,6,4,5,8]
[8,6,9,2,7,10,1,3,4,5]=>[10,9,1,3,4,8,2,6,7,5]
[8,5,9,2,6,10,1,3,4,7]=>[10,9,1,3,8,2,4,5,6,7]
[7,5,8,2,6,9,1,3,4,10]=>[9,8,1,3,7,2,5,6,4,10]
[8,4,9,2,5,10,1,3,6,7]=>[10,9,1,8,2,3,6,4,5,7]
[7,4,8,2,5,9,1,3,6,10]=>[9,8,1,7,2,3,4,5,6,10]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,10,7,8]
[2,10,1,3,4,5,6,7,8,9]=>[10,2,1,3,4,5,6,7,8,9]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]
[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]
[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1]
[9,8,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,9,8,1]
[9,8,7,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,8,9,7,1]
[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,10,7,8,9,6,1]
[9,8,7,6,5,10,4,3,2,1]=>[2,3,4,10,6,7,8,9,5,1]
[9,8,7,6,5,4,10,3,2,1]=>[2,3,10,5,6,7,8,9,4,1]
[9,8,7,6,5,4,3,10,2,1]=>[2,10,4,5,6,7,8,9,3,1]
[9,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,9,2,1]
[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]
[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]
[10,1,2,3,4,5,6,9,7,8]=>[10,1,2,3,4,5,9,7,6,8]
[10,1,2,3,4,5,9,6,7,8]=>[10,1,2,3,4,9,6,7,5,8]
[9,1,2,3,4,10,5,6,7,8]=>[9,1,2,3,10,5,6,7,4,8]
[10,1,2,3,9,4,5,6,7,8]=>[10,1,2,9,4,5,6,7,3,8]
[10,1,2,9,3,4,5,6,7,8]=>[10,1,9,3,4,5,6,7,2,8]
[9,1,10,2,3,4,5,6,7,8]=>[9,10,2,3,4,5,6,7,1,8]
[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,10,8]
[8,1,2,3,4,5,6,9,10,7]=>[8,1,2,3,4,5,10,6,9,7]
[7,1,2,3,4,5,10,9,6,8]=>[7,1,2,3,4,9,5,6,10,8]
[6,1,2,3,4,10,9,5,7,8]=>[6,1,2,3,9,4,5,7,10,8]
[5,1,2,3,9,10,4,6,7,8]=>[5,1,2,10,3,4,6,7,9,8]
[4,1,2,10,9,3,5,6,7,8]=>[4,1,9,2,3,5,6,7,10,8]
[3,1,10,9,2,4,5,6,7,8]=>[3,9,1,2,4,5,6,7,10,8]
[2,9,10,1,3,4,5,6,7,8]=>[10,2,1,3,4,5,6,7,9,8]
[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2]
[9,8,7,5,6,4,3,2,1,10]=>[2,3,4,6,7,5,8,9,1,10]
[1,10,9,8,6,7,5,4,3,2]=>[1,3,4,5,7,8,6,9,10,2]
[10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,9]
[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]
[2,4,6,8,10,1,3,5,7,9]=>[10,2,1,4,3,6,5,8,7,9]
[2,4,6,9,10,1,3,5,7,8]=>[10,2,1,4,3,6,5,7,9,8]
[2,4,7,8,10,1,3,5,6,9]=>[10,2,1,4,3,5,7,8,6,9]
[2,4,7,9,10,1,3,5,6,8]=>[10,2,1,4,3,5,7,6,9,8]
[2,4,8,9,10,1,3,5,6,7]=>[10,2,1,4,3,5,6,8,9,7]
[2,5,6,8,10,1,3,4,7,9]=>[10,2,1,3,5,6,4,8,7,9]
[2,5,6,9,10,1,3,4,7,8]=>[10,2,1,3,5,6,4,7,9,8]
[2,5,7,8,10,1,3,4,6,9]=>[10,2,1,3,5,4,7,8,6,9]
[2,5,7,9,10,1,3,4,6,8]=>[10,2,1,3,5,4,7,6,9,8]
[2,5,8,9,10,1,3,4,6,7]=>[10,2,1,3,5,4,6,8,9,7]
[2,6,7,8,10,1,3,4,5,9]=>[10,2,1,3,4,6,7,8,5,9]
[2,6,7,9,10,1,3,4,5,8]=>[10,2,1,3,4,6,7,5,9,8]
[2,6,8,9,10,1,3,4,5,7]=>[10,2,1,3,4,6,5,8,9,7]
[2,7,8,9,10,1,3,4,5,6]=>[10,2,1,3,4,5,7,8,9,6]
[3,4,6,8,10,1,2,5,7,9]=>[10,1,3,4,2,6,5,8,7,9]
[3,4,6,9,10,1,2,5,7,8]=>[10,1,3,4,2,6,5,7,9,8]
[3,4,7,8,10,1,2,5,6,9]=>[10,1,3,4,2,5,7,8,6,9]
[3,4,7,9,10,1,2,5,6,8]=>[10,1,3,4,2,5,7,6,9,8]
[3,4,8,9,10,1,2,5,6,7]=>[10,1,3,4,2,5,6,8,9,7]
[3,5,6,8,10,1,2,4,7,9]=>[10,1,3,2,5,6,4,8,7,9]
[3,5,6,9,10,1,2,4,7,8]=>[10,1,3,2,5,6,4,7,9,8]
[3,5,7,8,10,1,2,4,6,9]=>[10,1,3,2,5,4,7,8,6,9]
[3,5,7,9,10,1,2,4,6,8]=>[10,1,3,2,5,4,7,6,9,8]
[3,5,8,9,10,1,2,4,6,7]=>[10,1,3,2,5,4,6,8,9,7]
[3,6,7,8,10,1,2,4,5,9]=>[10,1,3,2,4,6,7,8,5,9]
[3,6,7,9,10,1,2,4,5,8]=>[10,1,3,2,4,6,7,5,9,8]
[3,6,8,9,10,1,2,4,5,7]=>[10,1,3,2,4,6,5,8,9,7]
[3,7,8,9,10,1,2,4,5,6]=>[10,1,3,2,4,5,7,8,9,6]
[4,5,6,8,10,1,2,3,7,9]=>[10,1,2,4,5,6,3,8,7,9]
[4,5,6,9,10,1,2,3,7,8]=>[10,1,2,4,5,6,3,7,9,8]
[4,5,7,8,10,1,2,3,6,9]=>[10,1,2,4,5,3,7,8,6,9]
[4,5,7,9,10,1,2,3,6,8]=>[10,1,2,4,5,3,7,6,9,8]
[4,5,8,9,10,1,2,3,6,7]=>[10,1,2,4,5,3,6,8,9,7]
[4,6,7,8,10,1,2,3,5,9]=>[10,1,2,4,3,6,7,8,5,9]
[4,6,7,9,10,1,2,3,5,8]=>[10,1,2,4,3,6,7,5,9,8]
[4,6,8,9,10,1,2,3,5,7]=>[10,1,2,4,3,6,5,8,9,7]
[4,7,8,9,10,1,2,3,5,6]=>[10,1,2,4,3,5,7,8,9,6]
[5,6,7,8,10,1,2,3,4,9]=>[10,1,2,3,5,6,7,8,4,9]
[5,6,7,9,10,1,2,3,4,8]=>[10,1,2,3,5,6,7,4,9,8]
[5,6,8,9,10,1,2,3,4,7]=>[10,1,2,3,5,6,4,8,9,7]
[5,7,8,9,10,1,2,3,4,6]=>[10,1,2,3,5,4,7,8,9,6]
[3,1,4,5,6,7,8,9,10,2]=>[3,10,1,4,5,6,7,8,9,2]
[10,3,4,5,6,7,8,1,2,9]=>[8,1,10,3,4,5,6,7,2,9]
[10,1,4,5,6,7,8,9,2,3]=>[10,9,2,1,4,5,6,7,8,3]
[2,10,4,5,6,7,8,1,3,9]=>[8,2,1,10,4,5,6,7,3,9]
[8,3,4,5,6,7,1,10,2,9]=>[7,10,8,3,4,5,6,1,2,9]
[3,1,10,5,6,7,8,9,2,4]=>[3,9,1,2,10,5,6,7,8,4]
[9,1,4,5,6,7,8,2,10,3]=>[9,8,10,1,4,5,6,7,2,3]
[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]
[8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,8,9,7]
[10,8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,10,8,7]
[10,9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,10,7]
[7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,7,8,9,6]
[10,7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,10,7,8,6]
[9,10,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,10,7,9,6]
[10,9,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,9,7,10,6]
[10,9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,10,6]
[10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,5]
[9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,9,5]
[10,9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,10,5]
[10,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,10,8,5]
[10,9,8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,9,10,5]
[10,9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,10,5]
[9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,9,4]
[10,9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,10,4]
[8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,8,9,4]
[10,9,8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,9,10,4]
[9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,9,4]
[10,9,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,9,7,10,4]
[10,9,8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,9,10,4]
[10,9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,10,4]
[10,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,10,7,8,3]
[9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,9,3]
[10,9,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,9,7,10,3]
[10,9,8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,9,10,3]
[10,8,9,6,7,4,5,1,2,3]=>[5,1,2,7,4,9,6,10,8,3]
[10,9,8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,9,10,3]
[10,9,8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,9,10,3]
[10,9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,10,3]
[9,10,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,7,9,2]
[10,9,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,9,7,10,2]
[10,9,8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,9,10,2]
[10,9,8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,9,10,2]
[10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,2]
[8,9,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,9,8,1,10]
[1,9,10,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,10,9,2]
[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]
[8,9,1,2,3,4,5,6,7,10]=>[9,1,2,3,4,5,6,8,7,10]
[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]
[2,4,1,3,6,5,8,7,10,9]=>[4,2,1,3,6,5,8,7,10,9]
[2,4,1,6,3,5,8,7,10,9]=>[4,2,6,1,3,5,8,7,10,9]
[2,4,1,6,3,8,5,7,10,9]=>[4,2,6,1,8,3,5,7,10,9]
[2,4,1,6,3,8,5,10,7,9]=>[4,2,6,1,8,3,10,5,7,9]
[2,4,1,6,3,8,5,9,7,10]=>[4,2,6,1,8,3,9,5,7,10]
[2,4,1,6,3,7,5,9,8,10]=>[4,2,6,1,7,3,5,9,8,10]
[2,4,1,5,3,7,6,9,8,10]=>[4,2,5,1,3,7,6,9,8,10]
[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]
[3,4,1,2,5,6,7,8,9,10]=>[4,1,3,2,5,6,7,8,9,10]
[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[4,5,6,1,2,3,7,8,9,10]=>[6,1,2,4,5,3,7,8,9,10]
[4,2,5,1,3,6,7,8,9,10]=>[5,4,1,2,3,6,7,8,9,10]
[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[5,6,7,8,1,2,3,4,9,10]=>[8,1,2,3,5,6,7,4,9,10]
[5,2,6,7,1,3,4,8,9,10]=>[7,5,1,3,2,6,4,8,9,10]
[5,6,3,4,1,2,7,8,9,10]=>[4,1,6,3,5,2,7,8,9,10]
[5,3,2,6,1,4,7,8,9,10]=>[6,3,5,1,2,4,7,8,9,10]
[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[6,2,7,8,9,1,3,4,5,10]=>[9,6,1,3,4,2,7,8,5,10]
[6,7,3,4,8,1,2,5,9,10]=>[8,1,7,3,2,6,4,5,9,10]
[6,3,2,7,8,1,4,5,9,10]=>[8,3,6,1,4,2,7,5,9,10]
[6,4,7,2,5,1,3,8,9,10]=>[5,7,1,6,2,4,3,8,9,10]
[6,4,3,2,7,1,5,8,9,10]=>[7,3,4,6,1,2,5,8,9,10]
[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[7,8,3,4,9,10,1,2,5,6]=>[10,1,8,3,2,5,7,4,9,6]
[7,8,9,4,5,6,1,2,3,10]=>[6,1,2,9,4,5,7,8,3,10]
[7,4,3,2,8,9,1,5,6,10]=>[9,3,4,7,1,5,2,8,6,10]
[7,8,5,6,3,4,1,2,9,10]=>[4,1,6,3,8,5,7,2,9,10]
[7,5,3,8,2,6,1,4,9,10]=>[6,8,5,1,7,2,3,4,9,10]
[7,5,4,3,2,8,1,6,9,10]=>[8,3,4,5,7,1,2,6,9,10]
[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[8,5,9,10,2,6,7,1,3,4]=>[7,10,1,3,8,2,6,5,9,4]
[8,5,3,9,2,6,10,1,4,7]=>[10,9,5,1,8,2,4,3,6,7]
[8,6,9,4,7,2,5,1,3,10]=>[5,7,1,9,2,8,4,6,3,10]
[8,6,4,3,9,2,7,1,5,10]=>[7,9,4,6,1,8,2,3,5,10]
[8,6,5,4,3,2,9,1,7,10]=>[9,3,4,5,6,8,1,2,7,10]
[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[9,7,5,4,3,10,2,8,1,6]=>[8,10,4,5,7,1,9,2,3,6]
[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]
[2,3,4,1,5,6,7,8,9,10]=>[4,2,3,1,5,6,7,8,9,10]
[2,3,4,5,1,6,7,8,9,10]=>[5,2,3,4,1,6,7,8,9,10]
[2,3,4,5,6,1,7,8,9,10]=>[6,2,3,4,5,1,7,8,9,10]
[2,3,4,5,6,7,1,8,9,10]=>[7,2,3,4,5,6,1,8,9,10]
[2,3,4,5,6,7,8,1,9,10]=>[8,2,3,4,5,6,7,1,9,10]
[3,4,1,5,6,7,8,9,10,2]=>[4,10,3,1,5,6,7,8,9,2]
[3,4,5,1,6,7,8,9,10,2]=>[5,10,3,4,1,6,7,8,9,2]
[3,4,5,6,1,7,8,9,10,2]=>[6,10,3,4,5,1,7,8,9,2]
[3,4,5,6,7,1,8,9,10,2]=>[7,10,3,4,5,6,1,8,9,2]
[3,4,5,6,7,8,1,9,10,2]=>[8,10,3,4,5,6,7,1,9,2]
[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2]
[9,8,7,6,5,4,3,1,10,2]=>[3,4,5,6,7,8,9,10,1,2]
[8,10,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,10,8,1,9]
[1,8,7,6,5,4,3,10,9,2]=>[1,9,4,5,6,7,8,3,10,2]
[1,10,7,6,5,4,3,2,9,8]=>[1,3,4,5,6,7,10,9,2,8]
[9,1,7,6,5,4,3,10,8,2]=>[9,8,4,5,6,7,1,10,3,2]
[3,8,7,6,5,4,10,1,9,2]=>[10,9,3,5,6,7,8,4,1,2]
[8,10,1,6,5,4,3,2,9,7]=>[10,3,4,5,6,1,9,8,2,7]
[2,10,7,6,5,4,3,9,1,8]=>[9,2,4,5,6,7,10,1,3,8]
[8,10,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,10,1]
[7,10,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,10,1]
[6,10,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,10,1]
[5,10,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,10,1]
[4,10,9,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,9,10,1]
[3,10,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,10,1]
[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1]
[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]
[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]
[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]
[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]
[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]
[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]
[8,7,10,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,7,10,1]
[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1]
[7,6,5,10,9,8,4,3,2,1]=>[2,3,4,8,6,7,5,9,10,1]
[7,9,6,10,8,5,4,3,2,1]=>[2,3,4,5,8,10,7,9,1,6]
[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1]
[6,5,4,3,10,9,8,7,2,1]=>[2,7,4,5,6,3,8,9,10,1]
[6,9,5,4,10,8,7,3,2,1]=>[2,3,7,5,8,6,10,9,4,1]
[6,5,8,7,10,9,4,3,2,1]=>[2,3,4,9,6,5,8,7,10,1]
[6,8,9,5,10,7,4,3,2,1]=>[2,3,4,7,10,6,9,8,1,5]
[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6]
[5,9,4,3,2,10,8,7,6,1]=>[6,3,4,7,5,8,10,9,1,2]
[5,4,8,7,3,10,9,6,2,1]=>[2,6,9,5,4,7,8,1,10,3]
[5,8,9,4,3,10,7,6,2,1]=>[2,6,4,7,5,10,9,8,3,1]
[5,7,4,9,6,10,8,3,2,1]=>[2,3,8,7,5,10,4,9,1,6]
[5,6,7,8,9,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,1]
[4,3,8,7,2,1,10,9,6,5]=>[2,7,4,3,6,8,9,5,10,1]
[4,8,9,3,2,1,10,7,6,5]=>[2,3,9,4,6,7,10,8,1,5]
[4,3,2,7,6,5,10,9,8,1]=>[8,3,4,2,6,7,5,9,10,1]
[4,7,3,9,6,2,10,8,5,1]=>[5,8,6,4,10,7,3,9,2,1]
[4,7,8,9,3,2,10,6,5,1]=>[5,3,6,4,10,9,7,8,2,1]
[4,3,6,5,8,7,10,9,2,1]=>[2,9,4,3,6,5,8,7,10,1]
[4,6,7,8,9,3,10,5,2,1]=>[2,5,10,4,9,6,7,8,1,3]
[4,5,6,7,8,9,10,3,2,1]=>[2,3,10,4,5,6,7,8,9,1]
[3,6,2,1,9,5,4,10,8,7]=>[2,6,3,5,9,1,8,10,4,7]
[3,2,6,5,8,7,1,10,9,4]=>[7,3,2,8,6,5,9,4,10,1]
[3,6,8,2,9,5,1,10,7,4]=>[5,9,3,8,7,6,10,4,2,1]
[3,6,7,8,9,2,1,10,5,4]=>[2,9,3,5,10,6,7,8,1,4]
[3,5,7,8,2,9,4,10,6,1]=>[6,10,3,8,5,9,7,4,1,2]
[3,5,6,7,8,9,2,10,4,1]=>[4,10,3,9,5,6,7,8,1,2]
[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1]
[2,4,6,1,8,3,9,5,10,7]=>[6,2,8,4,9,1,10,3,5,7]
[2,4,6,7,8,1,9,3,10,5]=>[8,2,9,4,10,6,7,1,3,5]
[2,4,5,6,7,8,9,1,10,3]=>[9,2,10,4,5,6,7,8,1,3]
[7,8,10,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,7,8,10,2]
[9,10,5,6,8,7,3,4,1,2]=>[4,1,7,3,8,2,10,6,9,5]
[5,8,10,6,9,7,3,4,1,2]=>[4,1,7,3,5,9,10,8,2,6]
[5,6,7,10,9,8,3,4,1,2]=>[4,1,8,3,5,6,7,9,10,2]
[9,10,7,8,3,4,6,5,1,2]=>[5,1,6,2,8,4,10,7,9,3]
[7,8,10,9,3,4,6,5,1,2]=>[5,1,6,2,9,4,7,8,10,3]
[9,10,3,6,8,4,7,5,1,2]=>[5,1,7,10,8,4,2,6,9,3]
[3,8,10,6,9,4,7,5,1,2]=>[5,1,3,7,9,10,2,8,6,4]
[3,6,7,10,9,4,8,5,1,2]=>[5,1,3,8,9,6,7,2,10,4]
[9,10,3,4,5,8,7,6,1,2]=>[6,1,7,3,4,8,10,5,9,2]
[3,8,10,4,5,9,7,6,1,2]=>[6,1,3,7,4,9,10,8,5,2]
[3,4,7,10,5,9,8,6,1,2]=>[6,1,3,4,8,9,7,10,5,2]
[3,4,5,6,10,9,8,7,1,2]=>[7,1,3,4,5,6,8,9,10,2]
[9,10,7,8,5,6,1,2,4,3]=>[6,1,4,2,8,5,10,7,9,3]
[7,8,10,9,5,6,1,2,4,3]=>[6,1,4,2,9,5,7,8,10,3]
[9,10,5,6,8,7,1,2,4,3]=>[7,1,4,2,8,3,10,6,9,5]
[5,8,10,6,9,7,1,2,4,3]=>[7,1,4,2,5,9,10,8,3,6]
[5,6,7,10,9,8,1,2,4,3]=>[8,1,4,2,5,6,7,9,10,3]
[9,10,7,8,1,4,6,2,5,3]=>[8,6,5,1,2,4,10,7,9,3]
[7,8,10,9,1,4,6,2,5,3]=>[9,6,5,1,2,4,7,8,10,3]
[9,10,1,6,8,4,7,2,5,3]=>[10,7,5,8,2,1,4,6,9,3]
[1,8,10,6,9,4,7,2,5,3]=>[1,7,5,9,2,10,4,8,6,3]
[1,6,7,10,9,4,8,2,5,3]=>[1,8,5,9,2,6,7,4,10,3]
[9,10,1,4,5,8,7,2,6,3]=>[10,7,6,1,4,2,8,5,9,3]
[1,8,10,4,5,9,7,2,6,3]=>[1,7,6,9,2,4,10,8,5,3]
[1,4,7,10,5,9,8,2,6,3]=>[1,8,6,4,9,5,7,10,2,3]
[1,4,5,6,10,9,8,2,7,3]=>[1,8,7,4,5,6,2,9,10,3]
[9,10,7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,10,7,9,4]
[7,8,10,9,1,2,3,6,5,4]=>[9,1,2,5,6,3,7,8,10,4]
[9,10,1,6,8,2,3,7,5,4]=>[10,8,2,5,7,1,3,6,9,4]
[1,8,10,6,9,2,3,7,5,4]=>[1,9,2,5,7,10,3,8,6,4]
[1,6,7,10,9,2,3,8,5,4]=>[1,9,2,5,8,6,7,3,10,4]
[9,10,1,2,5,8,3,7,6,4]=>[10,1,8,6,2,7,3,5,9,4]
[1,8,10,2,5,9,3,7,6,4]=>[1,10,9,6,2,7,3,8,5,4]
[1,2,7,10,5,9,3,8,6,4]=>[1,2,9,6,8,10,7,3,4,5]
[1,2,5,6,10,9,3,8,7,4]=>[1,2,9,7,5,6,8,3,10,4]
[9,10,1,2,3,4,8,7,6,5]=>[10,1,2,3,6,7,8,4,9,5]
[1,8,10,2,3,4,9,7,6,5]=>[1,10,2,3,6,7,9,8,4,5]
[1,2,7,10,3,4,9,8,6,5]=>[1,2,10,3,6,8,7,9,4,5]
[1,2,3,6,10,4,9,8,7,5]=>[1,2,3,10,7,6,8,9,4,5]
[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6]
[4,3,2,1,7,6,5,9,8,10]=>[2,3,4,1,6,7,5,9,8,10]
[7,3,2,1,6,5,4,9,8,10]=>[2,3,7,5,6,1,4,9,8,10]
[4,3,2,1,9,6,5,8,7,10]=>[2,3,4,1,6,9,8,5,7,10]
[6,3,2,1,9,5,4,8,7,10]=>[2,3,6,5,9,1,8,4,7,10]
[9,3,2,1,8,5,4,7,6,10]=>[2,3,9,5,8,7,4,1,6,10]
[6,5,2,1,9,4,3,8,7,10]=>[2,5,4,6,9,3,8,1,7,10]
[9,5,2,1,8,4,3,7,6,10]=>[2,5,4,9,8,7,1,3,6,10]
[4,3,2,1,7,6,5,10,8,9]=>[2,3,4,1,6,7,5,10,8,9]
[7,3,2,1,6,5,4,10,8,9]=>[2,3,7,5,6,1,4,10,8,9]
[4,3,2,1,8,6,5,10,7,9]=>[2,3,4,1,6,8,10,5,7,9]
[6,3,2,1,8,5,4,10,7,9]=>[2,3,6,5,8,1,10,4,7,9]
[8,3,2,1,7,5,4,10,6,9]=>[2,3,8,5,7,10,1,4,6,9]
[6,5,2,1,8,4,3,10,7,9]=>[2,5,4,6,8,3,10,1,7,9]
[8,5,2,1,7,4,3,10,6,9]=>[2,5,4,8,7,10,3,1,6,9]
[4,3,2,1,10,6,5,9,7,8]=>[2,3,4,1,6,10,9,7,5,8]
[6,3,2,1,10,5,4,9,7,8]=>[2,3,6,5,10,1,9,7,4,8]
[7,3,2,1,10,5,4,9,6,8]=>[2,3,7,5,10,9,1,6,4,8]
[10,3,2,1,9,5,4,8,6,7]=>[2,3,10,5,9,8,6,4,1,7]
[6,5,2,1,10,4,3,9,7,8]=>[2,5,4,6,10,3,9,7,1,8]
[7,5,2,1,10,4,3,9,6,8]=>[2,5,4,7,10,9,3,6,1,8]
[10,5,2,1,9,4,3,8,6,7]=>[2,5,4,10,9,8,6,1,3,7]
[4,3,2,1,8,7,5,10,6,9]=>[2,3,4,1,7,8,10,6,5,9]
[5,3,2,1,8,7,4,10,6,9]=>[2,3,5,7,1,8,10,6,4,9]
[8,3,2,1,7,6,4,10,5,9]=>[2,3,8,6,7,10,1,5,4,9]
[5,4,2,1,8,7,3,10,6,9]=>[2,4,5,7,3,8,10,6,1,9]
[8,4,2,1,7,6,3,10,5,9]=>[2,4,8,6,7,10,3,5,1,9]
[4,3,2,1,10,7,5,9,6,8]=>[2,3,4,1,7,10,9,5,6,8]
[5,3,2,1,10,7,4,9,6,8]=>[2,3,5,7,1,10,9,4,6,8]
[7,3,2,1,10,6,4,9,5,8]=>[2,3,7,6,10,9,1,4,5,8]
[10,3,2,1,9,6,4,8,5,7]=>[2,3,10,6,9,8,4,5,1,7]
[5,4,2,1,10,7,3,9,6,8]=>[2,4,5,7,3,10,9,1,6,8]
[7,4,2,1,10,6,3,9,5,8]=>[2,4,7,6,10,9,3,1,5,8]
[10,4,2,1,9,6,3,8,5,7]=>[2,4,10,6,9,8,1,5,3,7]
[7,6,2,1,10,5,3,9,4,8]=>[2,6,5,7,10,9,4,1,3,8]
[10,6,2,1,9,5,3,8,4,7]=>[2,6,5,10,9,8,1,3,4,7]
[5,4,3,1,8,7,2,10,6,9]=>[3,4,5,7,1,8,10,6,2,9]
[8,4,3,1,7,6,2,10,5,9]=>[3,4,8,6,7,10,1,5,2,9]
[5,4,3,1,10,7,2,9,6,8]=>[3,4,5,7,1,10,9,2,6,8]
[7,4,3,1,10,6,2,9,5,8]=>[3,4,7,6,10,9,1,2,5,8]
[10,4,3,1,9,6,2,8,5,7]=>[3,4,10,6,9,8,2,5,1,7]
[7,6,3,1,10,5,2,9,4,8]=>[3,6,5,7,10,9,4,2,1,8]
[10,6,3,1,9,5,2,8,4,7]=>[3,6,5,10,9,8,2,1,4,7]
[2,1,4,3,6,5,10,9,7,8]=>[2,1,4,3,6,5,9,7,10,8]
[2,1,4,3,8,7,5,6,10,9]=>[2,1,4,3,7,5,8,6,10,9]
[2,1,4,3,10,7,5,9,6,8]=>[2,1,4,3,7,10,9,5,6,8]
[2,1,4,3,10,9,8,5,6,7]=>[2,1,4,3,8,5,6,9,10,7]
[2,1,6,5,3,4,8,7,10,9]=>[2,1,5,3,6,4,8,7,10,9]
[2,1,6,5,3,4,10,9,7,8]=>[2,1,5,3,6,4,9,7,10,8]
[2,1,8,5,3,7,4,6,10,9]=>[2,1,5,8,7,3,4,6,10,9]
[2,1,10,5,3,7,4,9,6,8]=>[2,1,5,10,7,9,4,6,3,8]
[2,1,10,5,3,9,8,4,6,7]=>[2,1,5,10,8,3,6,9,4,7]
[2,1,8,7,6,3,4,5,10,9]=>[2,1,6,3,4,7,8,5,10,9]
[2,1,10,7,6,3,4,9,5,8]=>[2,1,6,3,7,10,9,5,4,8]
[2,1,10,9,6,3,8,4,5,7]=>[2,1,6,9,3,8,5,4,10,7]
[2,1,10,9,8,7,3,4,5,6]=>[2,1,7,3,4,5,8,9,10,6]
[4,3,1,2,6,5,8,7,10,9]=>[3,1,4,2,6,5,8,7,10,9]
[4,3,1,2,6,5,10,9,7,8]=>[3,1,4,2,6,5,9,7,10,8]
[4,3,1,2,8,7,5,6,10,9]=>[3,1,4,2,7,5,8,6,10,9]
[4,3,1,2,10,7,5,9,6,8]=>[3,1,4,2,7,10,9,5,6,8]
[4,3,1,2,10,9,8,5,6,7]=>[3,1,4,2,8,5,6,9,10,7]
[6,3,1,5,2,4,8,7,10,9]=>[3,6,5,1,2,4,8,7,10,9]
[6,3,1,5,2,4,10,9,7,8]=>[3,6,5,1,2,4,9,7,10,8]
[8,3,1,5,2,7,4,6,10,9]=>[3,8,5,7,2,4,1,6,10,9]
[10,3,1,5,2,7,4,9,6,8]=>[3,10,5,7,2,9,1,6,4,8]
[10,3,1,5,2,9,8,4,6,7]=>[3,10,5,8,2,4,6,9,1,7]
[8,3,1,7,6,2,4,5,10,9]=>[3,8,6,1,4,7,2,5,10,9]
[10,3,1,7,6,2,4,9,5,8]=>[3,10,6,1,7,9,2,4,5,8]
[10,3,1,9,6,2,8,4,5,7]=>[3,10,6,9,1,8,5,4,2,7]
[10,3,1,9,8,7,2,4,5,6]=>[3,10,7,1,4,5,8,9,2,6]
[6,5,4,1,2,3,8,7,10,9]=>[4,1,2,5,6,3,8,7,10,9]
[6,5,4,1,2,3,10,9,7,8]=>[4,1,2,5,6,3,9,7,10,8]
[8,5,4,1,2,7,3,6,10,9]=>[4,1,5,8,7,3,2,6,10,9]
[10,5,4,1,2,7,3,9,6,8]=>[4,1,5,10,7,9,2,6,3,8]
[10,5,4,1,2,9,8,3,6,7]=>[4,1,5,10,8,3,6,9,2,7]
[8,7,4,1,6,2,3,5,10,9]=>[4,7,1,6,3,2,8,5,10,9]
[10,7,4,1,6,2,3,9,5,8]=>[4,7,1,6,10,5,9,2,3,8]
[10,9,4,1,6,2,8,3,5,7]=>[4,9,6,8,1,2,5,3,10,7]
[10,9,4,1,8,7,2,3,5,6]=>[4,9,1,7,3,5,8,2,10,6]
[8,7,6,5,1,2,3,4,10,9]=>[5,1,2,3,6,7,8,4,10,9]
[10,7,6,5,1,2,3,9,4,8]=>[5,1,2,6,7,10,9,3,4,8]
[10,9,6,5,1,2,8,3,4,7]=>[5,1,6,3,9,8,4,2,10,7]
[10,9,8,5,1,7,2,3,4,6]=>[5,8,1,3,7,4,2,9,10,6]
[8,7,6,5,4,3,2,10,1,9]=>[10,3,4,5,6,7,8,2,1,9]
[7,6,5,4,3,10,2,9,1,8]=>[9,10,4,5,6,7,3,1,2,8]
[7,6,5,4,3,2,9,1,8,10]=>[9,3,4,5,6,7,2,1,8,10]
[6,5,4,10,3,9,2,8,1,7]=>[8,9,10,5,6,4,1,2,3,7]
[6,5,4,3,9,2,8,1,7,10]=>[8,9,4,5,6,3,1,2,7,10]
[6,5,4,3,2,8,10,1,7,9]=>[10,3,4,5,6,2,1,8,7,9]
[6,5,4,3,2,8,1,7,9,10]=>[8,3,4,5,6,2,1,7,9,10]
[5,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,5,1,2,3,4,6]
[5,4,9,3,8,2,7,1,6,10]=>[7,8,9,5,4,1,2,3,6,10]
[5,4,3,8,2,7,10,1,6,9]=>[10,8,4,5,3,1,2,7,6,9]
[5,4,3,8,2,7,1,6,9,10]=>[7,8,4,5,3,1,2,6,9,10]
[5,4,3,2,7,9,1,6,8,10]=>[9,3,4,5,2,1,7,6,8,10]
[5,4,3,2,7,1,6,8,9,10]=>[7,3,4,5,2,1,6,8,9,10]
[4,8,3,7,2,6,10,1,5,9]=>[10,7,8,4,1,2,3,6,5,9]
[4,8,3,7,2,6,1,5,9,10]=>[6,7,8,4,1,2,3,5,9,10]
[4,3,7,10,2,6,9,1,5,8]=>[9,10,4,3,1,2,7,5,6,8]
[4,3,7,2,6,9,1,5,8,10]=>[9,7,4,3,1,2,6,5,8,10]
[4,3,7,2,6,1,5,8,9,10]=>[6,7,4,3,1,2,5,8,9,10]
[4,3,2,6,8,10,1,5,7,9]=>[10,3,4,2,1,6,5,8,7,9]
[4,3,2,6,8,1,5,7,9,10]=>[8,3,4,2,1,6,5,7,9,10]
[4,3,2,6,1,5,7,8,9,10]=>[6,3,4,2,1,5,7,8,9,10]
[3,6,9,2,5,8,1,4,7,10]=>[8,9,3,1,2,6,4,5,7,10]
[3,6,2,5,8,10,1,4,7,9]=>[10,6,3,1,2,5,4,8,7,9]
[3,6,2,5,8,1,4,7,9,10]=>[8,6,3,1,2,5,4,7,9,10]
[3,6,2,5,1,4,7,8,9,10]=>[5,6,3,1,2,4,7,8,9,10]
[3,2,5,7,9,1,4,6,8,10]=>[9,3,2,1,5,4,7,6,8,10]
[3,2,5,7,1,4,6,8,9,10]=>[7,3,2,1,5,4,6,8,9,10]
[3,2,5,1,4,6,7,8,9,10]=>[5,3,2,1,4,6,7,8,9,10]
[2,4,6,8,1,3,5,7,9,10]=>[8,2,1,4,3,6,5,7,9,10]
[2,4,6,1,3,5,7,8,9,10]=>[6,2,1,4,3,5,7,8,9,10]
[2,4,1,3,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10]
[9,8,7,6,5,4,2,1,10,3]=>[2,4,5,6,7,8,9,10,3,1]
[9,8,7,6,5,3,2,1,10,4]=>[2,3,5,6,7,8,9,10,1,4]
[9,8,7,6,4,3,2,1,10,5]=>[2,3,4,6,7,8,9,10,5,1]
[9,8,7,5,4,3,2,1,10,6]=>[2,3,4,5,7,8,9,10,1,6]
[9,8,6,5,4,3,2,1,10,7]=>[2,3,4,5,6,8,9,10,7,1]
[9,7,6,5,4,3,2,1,10,8]=>[2,3,4,5,6,7,9,10,1,8]
[7,8,9,10,4,5,6,2,3,1]=>[3,6,2,10,4,5,7,8,9,1]
[7,8,9,4,5,6,10,2,3,1]=>[3,10,2,9,4,5,7,8,6,1]
[7,8,9,10,4,5,2,3,6,1]=>[6,5,2,10,4,3,7,8,9,1]
[7,8,9,4,5,10,2,3,6,1]=>[6,10,2,9,4,3,7,8,5,1]
[7,8,9,4,5,2,3,6,10,1]=>[10,5,2,9,4,3,7,8,6,1]
[7,8,4,5,9,10,2,3,6,1]=>[6,10,2,8,4,3,7,5,9,1]
[7,8,4,5,9,2,3,6,10,1]=>[10,9,2,8,4,3,7,5,6,1]
[7,8,9,10,4,5,6,2,1,3]=>[2,6,1,10,4,5,7,8,9,3]
[7,8,9,4,5,6,10,2,1,3]=>[2,10,1,9,4,5,7,8,6,3]
[7,8,9,10,4,5,2,6,1,3]=>[6,5,1,10,4,2,7,8,9,3]
[7,8,9,4,5,10,2,6,1,3]=>[6,10,1,9,4,2,7,8,5,3]
[7,8,9,4,5,2,6,10,1,3]=>[10,5,1,9,4,2,7,8,6,3]
[7,8,4,5,9,10,2,6,1,3]=>[6,10,1,8,4,2,7,5,9,3]
[7,8,4,5,9,2,6,10,1,3]=>[10,9,1,8,4,2,7,5,6,3]
[7,8,9,10,4,5,2,1,3,6]=>[2,5,1,10,4,3,7,8,9,6]
[7,8,9,4,5,10,2,1,3,6]=>[2,10,1,9,4,3,7,8,5,6]
[7,8,9,4,5,2,10,1,3,6]=>[10,5,1,9,4,3,7,8,2,6]
[7,8,9,4,5,2,1,3,6,10]=>[2,5,1,9,4,3,7,8,6,10]
[7,8,4,5,9,10,2,1,3,6]=>[2,10,1,8,4,3,7,5,9,6]
[7,8,4,5,9,2,10,1,3,6]=>[10,9,1,8,4,3,7,5,2,6]
[7,8,4,5,9,2,1,3,6,10]=>[2,9,1,8,4,3,7,5,6,10]
[7,8,9,10,4,2,5,6,1,3]=>[6,4,1,10,2,5,7,8,9,3]
[7,8,9,4,10,2,5,6,1,3]=>[6,10,1,9,2,5,7,8,4,3]
[7,8,9,4,2,5,6,10,1,3]=>[10,4,1,9,2,5,7,8,6,3]
[7,8,4,9,10,2,5,6,1,3]=>[6,10,1,8,2,5,7,4,9,3]
[7,8,4,9,2,5,6,10,1,3]=>[10,9,1,8,2,5,7,4,6,3]
[7,8,9,10,4,2,5,1,3,6]=>[5,4,1,10,2,3,7,8,9,6]
[7,8,9,4,10,2,5,1,3,6]=>[5,10,1,9,2,3,7,8,4,6]
[7,8,9,4,2,5,10,1,3,6]=>[10,4,1,9,2,3,7,8,5,6]
[7,8,9,4,2,5,1,3,6,10]=>[5,4,1,9,2,3,7,8,6,10]
[7,8,4,9,10,2,5,1,3,6]=>[5,10,1,8,2,3,7,4,9,6]
[7,8,4,9,2,5,10,1,3,6]=>[10,9,1,8,2,3,7,4,5,6]
[7,8,4,9,2,5,1,3,6,10]=>[5,9,1,8,2,3,7,4,6,10]
[7,8,4,2,5,9,10,1,3,6]=>[10,4,1,8,2,3,7,5,9,6]
[7,8,4,2,5,9,1,3,6,10]=>[9,4,1,8,2,3,7,5,6,10]
[7,4,8,9,10,2,5,6,1,3]=>[6,10,1,7,2,5,4,8,9,3]
[7,4,8,9,2,5,6,10,1,3]=>[10,9,1,7,2,5,4,8,6,3]
[7,4,8,9,10,2,5,1,3,6]=>[5,10,1,7,2,3,4,8,9,6]
[7,4,8,9,2,5,10,1,3,6]=>[10,9,1,7,2,3,4,8,5,6]
[7,4,8,9,2,5,1,3,6,10]=>[5,9,1,7,2,3,4,8,6,10]
[7,4,8,2,5,9,10,1,3,6]=>[10,8,1,7,2,3,4,5,9,6]
[8,10,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,10,8,7,2]
[9,10,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,10,5,6,9,2]
[8,10,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,10,5,8,6,2]
[7,10,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,10,7,5,6,2]
[9,10,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,10,7,9,2]
[8,10,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,10,8,7,2]
[9,10,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,10,4,6,9,2]
[8,10,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,10,4,8,6,2]
[7,10,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,10,7,4,6,2]
[9,10,5,8,4,7,3,6,1,2]=>[6,1,7,8,10,3,4,5,9,2]
[8,10,5,9,4,7,3,6,1,2]=>[6,1,7,9,10,3,4,8,5,2]
[7,10,5,9,4,8,3,6,1,2]=>[6,1,8,9,10,3,7,4,5,2]
[6,10,5,9,4,8,3,7,1,2]=>[7,1,8,9,10,6,3,4,5,2]
[9,10,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,10,7,9,3]
[8,10,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,10,8,7,3]
[9,10,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,10,5,6,9,3]
[8,10,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,10,5,8,6,3]
[7,10,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,10,7,5,6,3]
[9,10,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,10,7,9,3]
[8,10,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,10,8,7,3]
[9,10,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,10,4,6,9,3]
[8,10,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,10,4,8,6,3]
[7,10,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,10,7,4,6,3]
[9,10,5,8,4,7,2,6,1,3]=>[6,7,1,8,10,2,4,5,9,3]
[8,10,5,9,4,7,2,6,1,3]=>[6,7,1,9,10,2,4,8,5,3]
[7,10,5,9,4,8,2,6,1,3]=>[6,8,1,9,10,2,7,4,5,3]
[6,10,5,9,4,8,2,7,1,3]=>[7,8,1,9,10,6,2,4,5,3]
[9,10,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,10,7,9,4]
[8,10,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,10,8,7,4]
[9,10,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,10,3,6,9,4]
[8,10,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,10,3,8,6,4]
[7,10,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,10,7,3,6,4]
[9,10,5,8,3,7,2,6,1,4]=>[6,7,8,1,10,2,3,5,9,4]
[8,10,5,9,3,7,2,6,1,4]=>[6,7,9,1,10,2,3,8,5,4]
[7,10,5,9,3,8,2,6,1,4]=>[6,8,9,1,10,2,7,3,5,4]
[6,10,5,9,3,8,2,7,1,4]=>[7,8,9,1,10,6,2,3,5,4]
[9,10,4,8,3,7,2,6,1,5]=>[6,7,8,10,1,2,3,4,9,5]
[8,10,4,9,3,7,2,6,1,5]=>[6,7,9,10,1,2,3,8,4,5]
[7,10,4,9,3,8,2,6,1,5]=>[6,8,9,10,1,2,7,3,4,5]
[6,10,4,9,3,8,2,7,1,5]=>[7,8,9,10,1,6,2,3,4,5]
[3,4,5,6,7,8,9,1,2,10]=>[9,1,3,4,5,6,7,8,2,10]
[1,4,5,6,7,8,9,10,2,3]=>[1,10,2,4,5,6,7,8,9,3]
[9,10,7,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,7,9,1]
[9,10,7,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,7,9,2]
[9,10,7,5,8,3,6,1,4,2]=>[6,4,8,1,7,3,10,5,9,2]
[9,7,10,5,8,3,6,1,4,2]=>[6,4,8,1,10,3,9,5,7,2]
[10,7,9,5,8,3,6,1,4,2]=>[6,4,8,1,9,3,10,5,7,2]
[10,8,9,5,7,3,6,1,4,2]=>[6,4,7,1,9,3,5,10,8,2]
[10,8,9,6,7,3,5,1,4,2]=>[5,4,7,1,3,9,6,10,8,2]
[10,8,9,6,7,4,5,1,3,2]=>[5,3,1,7,4,9,6,10,8,2]
[7,6,5,4,3,2,1,10,9,8]=>[2,3,4,5,6,7,1,9,10,8]
[7,6,5,4,3,2,1,9,8,10]=>[2,3,4,5,6,7,1,9,8,10]
[6,5,4,3,2,1,9,8,7,10]=>[2,3,4,5,6,1,8,9,7,10]
[6,5,4,3,2,1,8,7,9,10]=>[2,3,4,5,6,1,8,7,9,10]
[5,4,3,2,1,9,8,7,6,10]=>[2,3,4,5,1,7,8,9,6,10]
[5,4,3,2,1,8,7,6,10,9]=>[2,3,4,5,1,7,8,6,10,9]
[5,4,3,2,1,8,7,6,9,10]=>[2,3,4,5,1,7,8,6,9,10]
[5,4,3,2,1,7,6,9,8,10]=>[2,3,4,5,1,7,6,9,8,10]
[5,4,3,2,1,7,6,8,9,10]=>[2,3,4,5,1,7,6,8,9,10]
[4,3,2,1,8,7,6,5,9,10]=>[2,3,4,1,6,7,8,5,9,10]
[4,3,2,1,7,6,5,10,9,8]=>[2,3,4,1,6,7,5,9,10,8]
[4,3,2,1,7,6,5,8,9,10]=>[2,3,4,1,6,7,5,8,9,10]
[4,3,2,1,6,5,8,7,9,10]=>[2,3,4,1,6,5,8,7,9,10]
[4,3,2,1,6,5,7,8,9,10]=>[2,3,4,1,6,5,7,8,9,10]
[3,2,1,6,5,4,9,8,7,10]=>[2,3,1,5,6,4,8,9,7,10]
[3,2,1,6,5,4,8,7,10,9]=>[2,3,1,5,6,4,8,7,10,9]
[3,2,1,6,5,4,8,7,9,10]=>[2,3,1,5,6,4,8,7,9,10]
[3,2,1,6,5,4,7,8,9,10]=>[2,3,1,5,6,4,7,8,9,10]
[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]
[3,2,1,5,4,7,6,8,9,10]=>[2,3,1,5,4,7,6,8,9,10]
[3,2,1,5,4,6,7,8,9,10]=>[2,3,1,5,4,6,7,8,9,10]
[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]
[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]
[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]
[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]
[3,1,5,2,6,4,8,7,10,9]=>[3,5,1,6,2,4,8,7,10,9]
[3,1,5,2,7,4,8,6,10,9]=>[3,5,1,7,2,8,4,6,10,9]
[3,1,5,2,7,4,9,6,10,8]=>[3,5,1,7,2,9,4,10,6,8]
[3,1,5,2,7,4,9,6,8,10]=>[3,5,1,7,2,9,4,6,8,10]
[3,1,5,2,7,4,6,9,8,10]=>[3,5,1,7,2,4,6,9,8,10]
[3,1,5,2,4,7,6,9,8,10]=>[3,5,1,2,4,7,6,9,8,10]
[3,1,2,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]
[4,5,6,7,8,9,10,1,2,3]=>[10,1,2,4,5,6,7,8,9,3]
[4,5,6,7,8,9,10,2,3,1]=>[3,10,2,4,5,6,7,8,9,1]
[5,6,7,8,9,10,1,2,3,4]=>[10,1,2,3,5,6,7,8,9,4]
[5,6,7,8,9,10,2,3,4,1]=>[4,10,2,3,5,6,7,8,9,1]
[5,6,7,8,9,10,3,4,1,2]=>[4,1,10,3,5,6,7,8,9,2]
[5,6,7,8,9,10,3,4,2,1]=>[2,4,10,3,5,6,7,8,9,1]
[7,8,9,10,3,4,5,6,1,2]=>[6,1,10,3,4,5,7,8,9,2]
[7,8,9,10,3,4,5,6,2,1]=>[2,6,10,3,4,5,7,8,9,1]
[7,8,9,10,4,5,6,1,2,3]=>[6,1,2,10,4,5,7,8,9,3]
[7,8,9,10,4,5,6,3,2,1]=>[2,3,6,10,4,5,7,8,9,1]
[7,8,9,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,7,8,9,2]
[7,8,9,10,5,6,3,4,2,1]=>[2,4,6,3,10,5,7,8,9,1]
[7,8,9,10,5,6,4,3,2,1]=>[2,3,4,6,10,5,7,8,9,1]
[8,9,10,5,6,7,2,3,4,1]=>[4,7,2,3,10,5,6,8,9,1]
[8,9,10,5,6,7,3,4,1,2]=>[4,1,7,3,10,5,6,8,9,2]
[8,9,10,5,6,7,3,4,2,1]=>[2,4,7,3,10,5,6,8,9,1]
[8,9,10,5,6,7,4,3,2,1]=>[2,3,4,7,10,5,6,8,9,1]
[8,9,10,6,7,4,5,2,3,1]=>[3,5,2,7,4,10,6,8,9,1]
[8,9,10,6,7,4,5,3,2,1]=>[2,3,5,7,4,10,6,8,9,1]
[8,9,10,6,7,5,4,3,2,1]=>[2,3,4,5,7,10,6,8,9,1]
[9,10,7,8,5,6,3,4,2,1]=>[2,4,6,3,8,5,10,7,9,1]
[9,10,7,8,5,6,4,3,2,1]=>[2,3,4,6,8,5,10,7,9,1]
[9,10,7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,10,7,9,1]
[9,7,5,3,1,10,8,6,4,2]=>[3,5,4,7,6,9,8,10,2,1]
[8,7,5,3,1,10,9,6,4,2]=>[3,5,4,7,6,8,9,2,10,1]
[9,6,5,3,1,10,8,7,4,2]=>[3,5,4,6,9,7,8,10,2,1]
[8,6,5,3,1,10,9,7,4,2]=>[3,5,4,6,8,7,9,2,10,1]
[7,6,5,3,1,10,9,8,4,2]=>[3,5,4,6,7,8,2,9,10,1]
[9,7,4,3,1,10,8,6,5,2]=>[3,4,7,5,6,9,8,10,2,1]
[8,7,4,3,1,10,9,6,5,2]=>[3,4,7,5,6,8,9,2,10,1]
[9,6,4,3,1,10,8,7,5,2]=>[3,4,6,5,9,7,8,10,2,1]
[8,6,4,3,1,10,9,7,5,2]=>[3,4,6,5,8,7,9,2,10,1]
[7,6,4,3,1,10,9,8,5,2]=>[3,4,6,5,7,8,2,9,10,1]
[9,5,4,3,1,10,8,7,6,2]=>[3,4,5,9,6,7,8,10,2,1]
[8,5,4,3,1,10,9,7,6,2]=>[3,4,5,8,6,7,9,2,10,1]
[7,5,4,3,1,10,9,8,6,2]=>[3,4,5,7,6,8,2,9,10,1]
[6,5,4,3,1,10,9,8,7,2]=>[3,4,5,6,7,2,8,9,10,1]
[9,7,5,2,1,10,8,6,4,3]=>[2,5,4,7,6,9,8,10,1,3]
[8,7,5,2,1,10,9,6,4,3]=>[2,5,4,7,6,8,9,1,10,3]
[9,6,5,2,1,10,8,7,4,3]=>[2,5,4,6,9,7,8,10,1,3]
[8,6,5,2,1,10,9,7,4,3]=>[2,5,4,6,8,7,9,1,10,3]
[7,6,5,2,1,10,9,8,4,3]=>[2,5,4,6,7,8,1,9,10,3]
[9,7,4,2,1,10,8,6,5,3]=>[2,4,7,5,6,9,8,10,1,3]
[8,7,4,2,1,10,9,6,5,3]=>[2,4,7,5,6,8,9,1,10,3]
[9,6,4,2,1,10,8,7,5,3]=>[2,4,6,5,9,7,8,10,1,3]
[8,6,4,2,1,10,9,7,5,3]=>[2,4,6,5,8,7,9,1,10,3]
[7,6,4,2,1,10,9,8,5,3]=>[2,4,6,5,7,8,1,9,10,3]
[9,5,4,2,1,10,8,7,6,3]=>[2,4,5,9,6,7,8,10,1,3]
[8,5,4,2,1,10,9,7,6,3]=>[2,4,5,8,6,7,9,1,10,3]
[7,5,4,2,1,10,9,8,6,3]=>[2,4,5,7,6,8,1,9,10,3]
[6,5,4,2,1,10,9,8,7,3]=>[2,4,5,6,7,1,8,9,10,3]
[9,7,3,2,1,10,8,6,5,4]=>[2,3,7,5,6,9,8,10,4,1]
[8,7,3,2,1,10,9,6,5,4]=>[2,3,7,5,6,8,9,4,10,1]
[9,6,3,2,1,10,8,7,5,4]=>[2,3,6,5,9,7,8,10,4,1]
[8,6,3,2,1,10,9,7,5,4]=>[2,3,6,5,8,7,9,4,10,1]
[7,6,3,2,1,10,9,8,5,4]=>[2,3,6,5,7,8,4,9,10,1]
[9,5,3,2,1,10,8,7,6,4]=>[2,3,5,9,6,7,8,10,4,1]
[8,5,3,2,1,10,9,7,6,4]=>[2,3,5,8,6,7,9,4,10,1]
[7,5,3,2,1,10,9,8,6,4]=>[2,3,5,7,6,8,4,9,10,1]
[6,5,3,2,1,10,9,8,7,4]=>[2,3,5,6,7,4,8,9,10,1]
[9,4,3,2,1,10,8,7,6,5]=>[2,3,4,9,6,7,8,10,1,5]
[8,4,3,2,1,10,9,7,6,5]=>[2,3,4,8,6,7,9,1,10,5]
[7,4,3,2,1,10,9,8,6,5]=>[2,3,4,7,6,8,1,9,10,5]
[6,4,3,2,1,10,9,8,7,5]=>[2,3,4,6,7,1,8,9,10,5]
[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5]
[6,1,7,2,8,3,9,10,4,5]=>[6,7,8,10,4,1,2,3,9,5]
[6,1,7,2,8,9,3,4,10,5]=>[6,7,9,3,10,1,2,8,4,5]
[6,1,7,2,8,9,3,10,4,5]=>[6,7,9,10,4,1,2,8,3,5]
[6,1,7,2,8,9,10,3,4,5]=>[6,7,10,3,4,1,2,8,9,5]
[6,1,7,8,2,3,9,4,10,5]=>[6,8,2,9,10,1,7,3,4,5]
[6,1,7,8,2,3,9,10,4,5]=>[6,8,2,10,4,1,7,3,9,5]
[6,1,7,8,2,9,3,4,10,5]=>[6,8,9,3,10,1,7,2,4,5]
[6,1,7,8,2,9,3,10,4,5]=>[6,8,9,10,4,1,7,2,3,5]
[6,1,7,8,2,9,10,3,4,5]=>[6,8,10,3,4,1,7,2,9,5]
[6,1,7,8,9,2,3,4,10,5]=>[6,9,2,3,10,1,7,8,4,5]
[6,1,7,8,9,2,3,10,4,5]=>[6,9,2,10,4,1,7,8,3,5]
[6,1,7,8,9,2,10,3,4,5]=>[6,9,10,3,4,1,7,8,2,5]
[6,1,7,8,9,10,2,3,4,5]=>[6,10,2,3,4,1,7,8,9,5]
[6,7,1,2,8,3,9,4,10,5]=>[7,1,8,9,10,6,2,3,4,5]
[6,7,1,2,8,3,9,10,4,5]=>[7,1,8,10,4,6,2,3,9,5]
[6,7,1,2,8,9,3,4,10,5]=>[7,1,9,3,10,6,2,8,4,5]
[6,7,1,2,8,9,3,10,4,5]=>[7,1,9,10,4,6,2,8,3,5]
[6,7,1,2,8,9,10,3,4,5]=>[7,1,10,3,4,6,2,8,9,5]
[6,7,1,8,2,3,9,4,10,5]=>[7,8,2,9,10,6,1,3,4,5]
[6,7,1,8,2,3,9,10,4,5]=>[7,8,2,10,4,6,1,3,9,5]
[6,7,1,8,2,9,3,4,10,5]=>[7,8,9,3,10,6,1,2,4,5]
[6,7,1,8,2,9,3,10,4,5]=>[7,8,9,10,4,6,1,2,3,5]
[6,7,1,8,2,9,10,3,4,5]=>[7,8,10,3,4,6,1,2,9,5]
[6,7,1,8,9,2,3,4,10,5]=>[7,9,2,3,10,6,1,8,4,5]
[6,7,1,8,9,2,3,10,4,5]=>[7,9,2,10,4,6,1,8,3,5]
[6,7,1,8,9,2,10,3,4,5]=>[7,9,10,3,4,6,1,8,2,5]
[6,7,1,8,9,10,2,3,4,5]=>[7,10,2,3,4,6,1,8,9,5]
[6,7,8,1,2,3,9,4,10,5]=>[8,1,2,9,10,6,7,3,4,5]
[6,7,8,1,2,3,9,10,4,5]=>[8,1,2,10,4,6,7,3,9,5]
[6,7,8,1,2,9,3,4,10,5]=>[8,1,9,3,10,6,7,2,4,5]
[6,7,8,1,2,9,3,10,4,5]=>[8,1,9,10,4,6,7,2,3,5]
[6,7,8,1,2,9,10,3,4,5]=>[8,1,10,3,4,6,7,2,9,5]
[6,7,8,1,9,2,3,4,10,5]=>[8,9,2,3,10,6,7,1,4,5]
[6,7,8,1,9,2,3,10,4,5]=>[8,9,2,10,4,6,7,1,3,5]
[6,7,8,1,9,2,10,3,4,5]=>[8,9,10,3,4,6,7,1,2,5]
[6,7,8,1,9,10,2,3,4,5]=>[8,10,2,3,4,6,7,1,9,5]
[6,7,8,9,1,2,3,4,10,5]=>[9,1,2,3,10,6,7,8,4,5]
[6,7,8,9,1,2,3,10,4,5]=>[9,1,2,10,4,6,7,8,3,5]
[6,7,8,9,1,2,10,3,4,5]=>[9,1,10,3,4,6,7,8,2,5]
[6,7,8,9,1,10,2,3,4,5]=>[9,10,2,3,4,6,7,8,1,5]
[10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,3]
[10,9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,10,4]
[10,9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,10,5]
[10,9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,10,6]
[10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,7]
[10,9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,10,8]
[10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,9]
[10,3,1,2,4,5,6,7,8,9]=>[3,1,10,2,4,5,6,7,8,9]
[10,4,1,2,3,5,6,7,8,9]=>[4,1,2,10,3,5,6,7,8,9]
[5,10,1,2,3,4,6,7,8,9]=>[10,1,2,3,5,4,6,7,8,9]
[10,6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,10,5,7,8,9]
[10,7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,10,6,8,9]
[8,10,1,2,3,4,5,6,7,9]=>[10,1,2,3,4,5,6,8,7,9]
[2,3,10,1,4,5,6,7,8,9]=>[10,2,3,1,4,5,6,7,8,9]
[4,3,1,10,2,5,6,7,8,9]=>[3,4,10,2,1,5,6,7,8,9]
[5,4,1,2,10,3,6,7,8,9]=>[4,1,5,10,3,2,6,7,8,9]
[5,6,1,2,3,10,4,7,8,9]=>[6,1,2,10,5,3,4,7,8,9]
[7,6,1,2,3,4,10,5,8,9]=>[6,1,2,3,7,10,5,4,8,9]
[8,7,1,2,3,4,5,10,6,9]=>[7,1,2,3,4,8,10,6,5,9]
[8,9,1,2,3,4,5,6,10,7]=>[9,1,2,3,4,5,10,8,6,7]
[10,9,8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,9,10,3]
[10,9,8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,9,10,4]
[10,9,8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,9,10,4]
[10,9,4,8,3,7,2,6,1,5]=>[6,7,8,9,1,2,3,4,10,5]
[10,9,8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,9,10,5]
[10,9,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,9,10,5]
[10,9,8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,9,10,5]
[10,5,9,4,8,3,7,1,2,6]=>[7,1,8,9,10,2,3,4,5,6]
[10,9,5,8,2,4,7,1,3,6]=>[7,8,1,2,9,3,4,5,10,6]
[10,9,5,8,4,7,1,2,3,6]=>[7,1,2,8,9,3,4,5,10,6]
[10,9,8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,9,10,6]
[10,9,8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,9,10,6]
[6,10,5,9,2,4,8,1,3,7]=>[8,9,1,2,10,6,3,4,5,7]
[6,10,5,9,4,8,1,2,3,7]=>[8,1,2,9,10,6,3,4,5,7]
[10,3,6,9,2,5,8,1,4,7]=>[8,9,10,1,2,3,4,5,6,7]
[10,6,9,3,5,8,1,2,4,7]=>[8,1,9,2,3,10,4,5,6,7]
[10,6,9,5,8,1,2,3,4,7]=>[8,1,2,3,9,10,4,5,6,7]
[10,9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,10,7]
[10,9,4,6,8,1,2,3,5,7]=>[8,1,2,9,3,4,5,6,10,7]
[10,9,6,8,1,2,3,4,5,7]=>[8,1,2,3,4,9,5,6,10,7]
[4,7,10,3,6,9,1,2,5,8]=>[9,1,10,4,2,3,7,5,6,8]
[7,10,2,4,6,9,1,3,5,8]=>[9,10,1,2,3,4,7,5,6,8]
[7,10,4,6,9,1,2,3,5,8]=>[9,1,2,10,3,4,7,5,6,8]
[7,10,6,9,1,2,3,4,5,8]=>[9,1,2,3,4,10,7,5,6,8]
[10,3,5,7,9,1,2,4,6,8]=>[9,1,10,2,3,4,5,6,7,8]
[10,5,7,9,1,2,3,4,6,8]=>[9,1,2,3,10,4,5,6,7,8]
[10,7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,10,6,7,8]
[4,6,8,10,1,2,3,5,7,9]=>[10,1,2,4,3,6,5,8,7,9]
[6,8,10,1,2,3,4,5,7,9]=>[10,1,2,3,4,6,5,8,7,9]
[10,7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,10,9,1,8]
[8,7,6,5,4,3,2,10,9,1]=>[9,3,4,5,6,7,8,2,10,1]
[10,1,2,3,4,6,5,7,8,9]=>[10,1,2,3,6,4,5,7,8,9]
[2,3,4,5,7,6,8,9,10,1]=>[10,2,3,4,5,7,6,8,9,1]
[9,10,5,6,7,8,3,4,1,2]=>[4,1,8,3,10,5,6,7,9,2]
[5,8,9,6,7,10,3,4,1,2]=>[4,1,10,3,5,9,6,8,7,2]
[9,10,7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,10,7,9,2]
[9,10,3,6,7,4,5,8,1,2]=>[8,1,10,7,4,3,6,5,9,2]
[3,8,9,6,7,4,5,10,1,2]=>[10,1,3,7,4,9,6,8,5,2]
[3,6,7,8,9,4,5,10,1,2]=>[10,1,3,9,4,6,7,8,5,2]
[9,10,3,4,5,6,7,8,1,2]=>[8,1,10,3,4,5,6,7,9,2]
[3,8,9,4,5,6,7,10,1,2]=>[10,1,3,9,4,5,6,8,7,2]
[3,4,7,8,5,6,9,10,1,2]=>[10,1,3,4,8,5,7,6,9,2]
[7,8,9,10,5,6,1,2,3,4]=>[6,1,2,3,10,5,7,8,9,4]
[5,8,9,6,7,10,1,2,3,4]=>[10,1,2,3,5,9,6,8,7,4]
[9,10,7,8,1,4,5,2,3,6]=>[8,5,2,1,4,3,10,7,9,6]
[7,8,9,10,1,4,5,2,3,6]=>[10,5,2,1,4,3,7,8,9,6]
[9,10,1,6,7,4,5,2,3,8]=>[10,5,2,7,4,1,6,3,9,8]
[1,8,9,6,7,4,5,2,3,10]=>[1,5,2,7,4,9,6,8,3,10]
[1,6,7,8,9,4,5,2,3,10]=>[1,5,2,9,4,6,7,8,3,10]
[9,10,1,4,5,6,7,2,3,8]=>[10,7,2,1,4,5,6,3,9,8]
[1,8,9,4,5,6,7,2,3,10]=>[1,7,2,9,4,5,6,8,3,10]
[1,4,7,8,5,6,9,2,3,10]=>[1,9,2,4,8,5,7,6,3,10]
[1,4,5,6,7,8,9,2,3,10]=>[1,9,2,4,5,6,7,8,3,10]
[9,10,1,6,7,2,3,4,5,8]=>[10,7,2,3,4,1,6,5,9,8]
[1,8,9,6,7,2,3,4,5,10]=>[1,7,2,3,4,9,6,8,5,10]
[1,6,7,8,9,2,3,4,5,10]=>[1,9,2,3,4,6,7,8,5,10]
[9,10,1,2,5,6,3,4,7,8]=>[10,1,6,3,2,5,4,7,9,8]
[1,8,9,2,5,6,3,4,7,10]=>[1,9,6,3,2,5,4,8,7,10]
[1,2,7,8,5,6,3,4,9,10]=>[1,2,6,3,8,5,7,4,9,10]
[1,2,5,6,7,8,3,4,9,10]=>[1,2,8,3,5,6,7,4,9,10]
[1,8,9,2,3,4,5,6,7,10]=>[1,9,2,3,4,5,6,8,7,10]
[1,2,7,8,3,4,5,6,9,10]=>[1,2,8,3,4,5,7,6,9,10]
[1,2,3,6,7,4,5,8,9,10]=>[1,2,3,7,4,6,5,8,9,10]
[9,8,7,6,4,5,3,2,1,10]=>[2,3,5,6,4,7,8,9,1,10]
[1,10,9,8,7,5,6,4,3,2]=>[1,3,4,6,7,5,8,9,10,2]
[8,7,9,6,5,4,3,2,1,10]=>[2,3,4,5,6,9,8,7,1,10]
[8,7,6,9,5,4,3,2,1,10]=>[2,3,4,5,9,7,8,6,1,10]
[8,7,6,5,10,4,3,2,1,9]=>[2,3,4,10,6,7,8,5,1,9]
[8,7,6,5,4,9,3,2,1,10]=>[2,3,9,5,6,7,8,4,1,10]
[8,7,6,5,4,3,9,2,1,10]=>[2,9,4,5,6,7,8,3,1,10]
[7,10,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,10,8]
[8,6,9,10,5,4,3,2,1,7]=>[2,3,4,5,10,8,1,6,9,7]
[8,7,5,9,10,4,3,2,1,6]=>[2,3,4,10,7,1,8,5,9,6]
[8,7,6,4,10,9,3,2,1,5]=>[2,3,9,6,1,7,8,4,10,5]
[8,7,6,5,3,9,10,2,1,4]=>[2,10,5,1,6,7,8,3,9,4]
[8,7,6,5,4,2,9,10,1,3]=>[10,4,1,5,6,7,8,2,9,3]
[8,7,6,5,4,3,1,10,9,2]=>[3,4,5,6,7,8,9,2,10,1]
[2,3,4,5,6,7,9,10,8,1]=>[8,2,3,4,5,6,7,10,9,1]
[2,3,4,5,6,8,9,10,7,1]=>[7,2,3,4,5,6,10,8,9,1]
[2,3,4,6,7,8,9,10,5,1]=>[5,2,3,4,10,6,7,8,9,1]
[2,3,5,6,7,8,9,10,4,1]=>[4,2,3,10,5,6,7,8,9,1]
[2,3,4,5,6,7,10,1,8,9]=>[10,2,3,4,5,6,7,1,8,9]
[2,3,4,5,6,9,1,10,8,7]=>[9,2,3,4,5,6,8,10,1,7]
[2,3,4,5,8,1,9,10,7,6]=>[8,2,3,4,5,7,10,1,9,6]
[2,3,4,7,1,8,9,10,5,6]=>[7,2,3,4,10,5,1,8,9,6]
[2,3,6,1,7,8,9,10,5,4]=>[6,2,3,5,10,1,7,8,9,4]
[2,5,1,6,7,8,9,10,4,3]=>[5,2,4,10,1,6,7,8,9,3]
[4,1,5,6,7,8,9,10,2,3]=>[4,10,2,1,5,6,7,8,9,3]
[2,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,3]
[9,1,10,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,10,1,2]
[9,1,2,3,4,5,6,10,7,8]=>[9,1,2,3,4,5,10,7,6,8]
[9,1,2,3,4,5,10,6,7,8]=>[9,1,2,3,4,10,6,7,5,8]
[9,1,2,3,10,4,5,6,7,8]=>[9,1,2,10,4,5,6,7,3,8]
[9,1,2,10,3,4,5,6,7,8]=>[9,1,10,3,4,5,6,7,2,8]
[9,2,1,8,7,6,5,4,3,10]=>[2,9,4,5,6,7,8,1,3,10]
[3,2,9,8,7,6,5,4,1,10]=>[4,3,2,5,6,7,8,9,1,10]
[9,3,1,8,7,6,5,4,10,2]=>[3,9,10,5,6,7,8,2,4,1]
[9,2,10,1,7,6,5,4,3,8]=>[10,9,4,5,6,7,1,3,2,8]
[4,2,9,8,7,6,5,10,1,3]=>[10,4,1,2,6,7,8,9,5,3]
[3,10,2,8,7,6,5,4,1,9]=>[4,5,3,6,7,8,10,2,1,9]
[8,9,2,3,4,5,6,7,10,1]=>[10,9,2,3,4,5,6,8,7,1]
[2,9,10,3,4,5,6,7,8,1]=>[8,2,10,3,4,5,6,7,9,1]
[8,1,9,3,4,5,6,7,10,2]=>[8,10,9,3,4,5,6,1,7,2]
[7,9,2,3,4,5,6,1,10,8]=>[6,9,2,3,4,5,7,10,1,8]
[2,9,1,10,4,5,6,7,8,3]=>[9,2,8,10,4,5,6,7,1,3]
[2,8,10,3,4,5,6,7,1,9]=>[7,2,10,3,4,5,6,8,1,9]
[9,8,7,6,5,4,3,1,2,10]=>[3,1,4,5,6,7,8,9,2,10]
[1,10,9,8,7,6,5,4,2,3]=>[1,4,2,5,6,7,8,9,10,3]
[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3]
[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4]
[1,3,2,10,9,8,7,6,5,4]=>[1,3,2,5,6,7,8,9,10,4]
[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4]
[1,4,3,2,10,9,8,7,6,5]=>[1,3,4,2,6,7,8,9,10,5]
[1,2,4,3,10,9,8,7,6,5]=>[1,2,4,3,6,7,8,9,10,5]
[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5]
[1,5,4,3,2,10,9,8,7,6]=>[1,3,4,5,2,7,8,9,10,6]
[2,1,5,4,3,10,9,8,7,6]=>[2,1,4,5,3,7,8,9,10,6]
[1,2,5,4,3,10,9,8,7,6]=>[1,2,4,5,3,7,8,9,10,6]
[1,3,2,5,4,10,9,8,7,6]=>[1,3,2,5,4,7,8,9,10,6]
[1,2,3,5,4,10,9,8,7,6]=>[1,2,3,5,4,7,8,9,10,6]
[1,2,6,5,4,3,10,9,8,7]=>[1,2,4,5,6,3,8,9,10,7]
[3,2,1,6,5,4,10,9,8,7]=>[2,3,1,5,6,4,8,9,10,7]
[1,3,2,6,5,4,10,9,8,7]=>[1,3,2,5,6,4,8,9,10,7]
[1,2,3,6,5,4,10,9,8,7]=>[1,2,3,5,6,4,8,9,10,7]
[1,2,4,3,6,5,10,9,8,7]=>[1,2,4,3,6,5,8,9,10,7]
[1,2,3,4,6,5,10,9,8,7]=>[1,2,3,4,6,5,8,9,10,7]
[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7]
[1,4,3,2,7,6,5,10,9,8]=>[1,3,4,2,6,7,5,9,10,8]
[2,1,4,3,7,6,5,10,9,8]=>[2,1,4,3,6,7,5,9,10,8]
[1,2,4,3,7,6,5,10,9,8]=>[1,2,4,3,6,7,5,9,10,8]
[1,2,3,4,7,6,5,10,9,8]=>[1,2,3,4,6,7,5,9,10,8]
[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8]
[1,2,3,5,4,7,6,10,9,8]=>[1,2,3,5,4,7,6,9,10,8]
[1,2,3,4,5,7,6,10,9,8]=>[1,2,3,4,5,7,6,9,10,8]
[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]
[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]
[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]
[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]
[10,9,8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,9,10,3]
[10,9,8,7,3,2,1,6,5,4]=>[2,3,7,5,6,1,8,9,10,4]
[10,9,8,7,6,3,1,5,2,4]=>[3,6,5,1,2,7,8,9,10,4]
[10,9,4,3,2,1,8,7,6,5]=>[2,3,4,9,6,7,8,1,10,5]
[10,9,8,4,3,1,7,6,2,5]=>[3,4,8,6,2,7,1,9,10,5]
[10,9,8,7,2,1,4,3,6,5]=>[2,7,4,1,6,3,8,9,10,5]
[10,9,8,7,4,1,6,2,3,5]=>[4,7,1,6,3,2,8,9,10,5]
[10,5,4,3,1,9,8,7,2,6]=>[3,4,5,10,7,1,8,9,2,6]
[10,9,5,2,1,8,4,3,7,6]=>[2,5,4,9,8,7,1,3,10,6]
[10,9,5,4,1,8,7,2,3,6]=>[4,5,2,9,7,3,8,1,10,6]
[10,9,8,3,1,5,2,7,4,6]=>[3,8,5,7,2,4,1,9,10,6]
[6,5,2,1,10,9,4,3,8,7]=>[2,5,4,6,9,3,8,1,10,7]
[6,5,4,1,10,9,8,2,3,7]=>[4,5,2,6,8,1,3,9,10,7]
[10,3,2,1,6,5,4,9,8,7]=>[2,3,10,5,6,1,8,9,4,7]
[10,6,5,1,9,8,2,3,4,7]=>[5,6,2,3,10,8,4,9,1,7]
[10,9,2,1,4,3,6,5,8,7]=>[2,9,4,1,6,3,8,5,10,7]
[10,9,6,1,8,2,3,4,5,7]=>[6,9,1,3,4,8,5,2,10,7]
[4,3,1,7,6,2,10,9,5,8]=>[3,4,6,2,7,9,5,1,10,8]
[7,2,1,10,4,3,6,5,9,8]=>[2,7,4,10,6,3,1,9,5,8]
[7,4,1,10,6,2,9,3,5,8]=>[4,7,6,10,3,9,2,5,1,8]
[7,6,1,10,9,2,3,4,5,8]=>[6,7,1,3,4,9,2,5,10,8]
[10,5,1,7,2,9,3,4,6,8]=>[5,10,7,1,9,4,2,6,3,8]
[10,7,1,9,2,3,4,5,6,8]=>[7,10,1,3,4,5,9,6,2,8]
[4,1,6,2,8,3,10,5,7,9]=>[4,6,8,1,10,2,5,3,7,9]
[6,1,8,2,10,3,4,5,7,9]=>[6,8,10,3,4,1,5,2,7,9]
[8,1,10,2,3,4,5,6,7,9]=>[8,10,2,3,4,5,6,1,7,9]
[10,1,9,8,7,6,5,4,3,2]=>[10,3,4,5,6,7,8,9,1,2]
[8,1,10,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,10,2]
[7,1,10,9,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,9,10,2]
[6,1,10,9,8,7,5,4,3,2]=>[6,3,4,5,7,1,8,9,10,2]
[5,1,10,9,8,7,6,4,3,2]=>[5,3,4,6,1,7,8,9,10,2]
[4,1,10,9,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,9,10,2]
[3,1,10,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,10,2]
[9,10,7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,10,7,9,4]
[9,10,7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,10,7,9,2]
[9,10,7,8,4,2,5,1,3,6]=>[5,4,1,8,2,3,10,7,9,6]
[9,10,7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,10,7,9,6]
[9,10,6,5,7,8,3,4,1,2]=>[4,1,8,3,6,10,5,7,9,2]
[9,10,6,5,7,8,2,1,3,4]=>[2,8,1,3,6,10,5,7,9,4]
[9,10,6,4,7,3,5,8,1,2]=>[8,1,7,6,3,10,4,5,9,2]
[9,10,6,4,7,2,5,1,3,8]=>[5,7,1,6,2,10,4,3,9,8]
[9,10,6,3,7,2,1,4,5,8]=>[2,7,6,1,4,10,3,5,9,8]
[9,10,5,4,3,6,7,8,1,2]=>[8,1,4,5,10,3,6,7,9,2]
[9,10,5,4,2,6,7,1,3,8]=>[7,4,1,5,10,2,6,3,9,8]
[9,10,5,3,2,6,1,4,7,8]=>[6,3,5,1,10,2,4,7,9,8]
[9,10,4,3,2,1,5,6,7,8]=>[2,3,4,10,1,5,6,7,9,8]
[8,7,9,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,8,7,9,2]
[8,7,9,10,5,6,2,1,3,4]=>[2,6,1,3,10,5,8,7,9,4]
[8,7,9,10,4,3,5,6,1,2]=>[6,1,4,10,3,5,8,7,9,2]
[8,7,9,10,4,2,5,1,3,6]=>[5,4,1,10,2,3,8,7,9,6]
[8,7,9,10,3,2,1,4,5,6]=>[2,3,10,1,4,5,8,7,9,6]
[8,6,9,5,7,10,3,4,1,2]=>[4,1,10,3,9,8,5,6,7,2]
[8,6,9,5,7,10,2,1,3,4]=>[2,10,1,3,9,8,5,6,7,4]
[8,6,9,4,7,3,5,10,1,2]=>[10,1,7,9,3,8,4,6,5,2]
[8,6,9,3,7,2,1,4,5,10]=>[2,7,9,1,4,8,3,6,5,10]
[8,5,9,4,3,6,7,10,1,2]=>[10,1,4,9,8,3,6,5,7,2]
[8,5,9,4,2,6,7,1,3,10]=>[7,4,1,9,8,2,6,5,3,10]
[8,5,9,3,2,6,1,4,7,10]=>[6,3,9,1,8,2,4,5,7,10]
[8,4,9,3,2,1,5,6,7,10]=>[2,3,9,8,1,5,6,4,7,10]
[7,6,5,8,9,10,3,4,1,2]=>[4,1,10,3,6,7,5,8,9,2]
[7,6,5,8,9,10,2,1,3,4]=>[2,10,1,3,6,7,5,8,9,4]
[7,6,4,8,9,3,5,10,1,2]=>[10,1,9,6,3,7,4,8,5,2]
[7,6,4,8,9,2,5,1,3,10]=>[5,9,1,6,2,7,4,8,3,10]
[7,6,3,8,9,2,1,4,5,10]=>[2,9,6,1,4,7,3,8,5,10]
[7,5,4,8,3,6,9,10,1,2]=>[10,1,8,5,7,3,4,6,9,2]
[7,5,4,8,2,6,9,1,3,10]=>[9,8,1,5,7,2,4,6,3,10]
[7,4,3,8,2,1,5,6,9,10]=>[2,8,4,7,1,5,3,6,9,10]
[6,5,4,3,7,8,9,10,1,2]=>[10,1,4,5,6,3,7,8,9,2]
[6,5,4,2,7,8,9,1,3,10]=>[9,4,1,5,6,2,7,8,3,10]
[6,5,3,2,7,8,1,4,9,10]=>[8,3,5,1,6,2,7,4,9,10]
[1,3,2,7,6,5,10,9,8,4]=>[1,3,2,8,6,7,5,9,10,4]
[1,4,3,6,5,2,10,9,8,7]=>[1,5,4,3,6,2,8,9,10,7]
[1,4,3,7,6,2,10,9,8,5]=>[1,6,4,3,7,8,5,9,10,2]
[1,5,4,7,6,3,10,9,8,2]=>[1,8,6,5,4,7,3,9,10,2]
[1,4,3,8,7,2,10,9,6,5]=>[1,7,4,3,6,8,9,5,10,2]
[1,5,4,8,7,3,10,9,6,2]=>[1,6,9,5,4,7,8,2,10,3]
[2,3,1,6,5,4,10,9,8,7]=>[3,2,1,5,6,4,8,9,10,7]
[2,3,1,7,6,5,10,9,8,4]=>[3,2,1,8,6,7,5,9,10,4]
[2,4,1,6,5,3,10,9,8,7]=>[4,2,5,1,6,3,8,9,10,7]
[2,4,1,7,6,3,10,9,8,5]=>[4,2,6,1,7,8,5,9,10,3]
[2,5,1,7,6,4,10,9,8,3]=>[5,2,8,6,1,7,4,9,10,3]
[2,4,1,8,7,3,10,9,6,5]=>[4,2,7,1,6,8,9,5,10,3]
[2,5,1,8,7,4,10,9,6,3]=>[5,2,6,9,1,7,8,3,10,4]
[3,4,2,6,5,1,10,9,8,7]=>[5,4,3,2,6,1,8,9,10,7]
[3,4,2,7,6,1,10,9,8,5]=>[6,4,3,2,7,8,5,9,10,1]
[3,5,2,7,6,1,10,9,8,4]=>[6,5,3,7,2,8,4,9,10,1]
[4,5,3,7,6,2,10,9,8,1]=>[8,6,5,4,3,7,2,9,10,1]
[3,4,2,8,7,1,10,9,6,5]=>[7,4,3,2,6,8,9,5,10,1]
[3,5,2,8,7,1,10,9,6,4]=>[7,5,3,6,2,8,9,4,10,1]
[4,5,3,8,7,2,10,9,6,1]=>[6,9,5,4,3,7,8,1,10,2]
[2,5,1,6,4,3,10,9,8,7]=>[5,2,4,6,1,3,8,9,10,7]
[2,5,1,7,4,3,10,9,8,6]=>[5,2,4,7,1,8,3,9,10,6]
[2,6,1,7,5,4,10,9,8,3]=>[6,2,8,5,7,1,4,9,10,3]
[2,5,1,8,4,3,10,9,7,6]=>[5,2,4,8,1,7,9,3,10,6]
[2,6,1,8,5,4,10,9,7,3]=>[6,2,7,5,9,1,8,3,10,4]
[3,5,2,6,4,1,10,9,8,7]=>[4,6,3,5,1,2,8,9,10,7]
[3,5,2,7,4,1,10,9,8,6]=>[4,7,3,5,1,8,2,9,10,6]
[3,6,2,7,5,1,10,9,8,4]=>[5,7,3,6,8,4,2,9,10,1]
[4,6,3,7,5,2,10,9,8,1]=>[8,5,7,4,6,2,3,9,10,1]
[3,5,2,8,4,1,10,9,7,6]=>[4,8,3,5,1,7,9,2,10,6]
[3,6,2,8,5,1,10,9,7,4]=>[5,8,3,6,7,4,9,2,10,1]
[4,6,3,8,5,2,10,9,7,1]=>[7,5,9,4,6,2,8,1,10,3]
[3,7,2,8,6,1,10,9,5,4]=>[6,8,3,5,7,9,4,2,10,1]
[4,7,3,8,6,2,10,9,5,1]=>[5,9,6,4,8,7,3,1,10,2]
[2,5,1,9,4,3,10,8,7,6]=>[5,2,4,9,1,7,8,10,3,6]
[2,6,1,9,5,4,10,8,7,3]=>[6,2,7,5,8,1,10,9,4,3]
[3,5,2,9,4,1,10,8,7,6]=>[4,9,3,5,1,7,8,10,2,6]
[3,6,2,9,5,1,10,8,7,4]=>[5,9,3,6,7,4,8,10,2,1]
[4,6,3,9,5,2,10,8,7,1]=>[7,5,8,4,6,2,10,9,3,1]
[3,7,2,9,6,1,10,8,5,4]=>[6,9,3,5,7,8,4,10,2,1]
[10,1,2,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,6,9,7,8]
[2,3,4,5,6,7,8,10,9,1]=>[9,2,3,4,5,6,7,8,10,1]
[3,2,10,9,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,9,10,1]
[10,2,1,9,8,7,6,5,4,3]=>[2,10,4,5,6,7,8,9,1,3]
[2,3,4,6,5,7,8,9,10,1]=>[10,2,3,4,6,5,7,8,9,1]
[10,1,2,3,5,4,6,7,8,9]=>[10,1,2,5,3,4,6,7,8,9]
[9,7,10,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,9,2,7]
[9,7,10,5,8,6,3,4,1,2]=>[4,1,6,3,8,10,9,2,7,5]
[9,7,10,5,8,3,6,4,1,2]=>[4,1,6,8,10,2,9,5,7,3]
[9,7,10,5,8,3,6,2,4,1]=>[4,6,8,2,10,3,9,5,7,1]
[9,7,10,5,8,4,6,2,3,1]=>[3,6,2,8,10,4,9,5,7,1]
[9,7,10,6,8,4,5,2,3,1]=>[3,5,2,8,4,10,9,6,7,1]
[9,8,10,6,7,4,5,2,3,1]=>[3,5,2,7,4,10,6,9,8,1]
[1,10,9,8,7,6,5,2,4,3]=>[1,5,4,2,6,7,8,9,10,3]
[1,10,9,8,7,6,2,5,4,3]=>[1,6,4,5,2,7,8,9,10,3]
[2,10,9,8,7,1,6,5,4,3]=>[7,2,4,5,6,1,8,9,10,3]
[1,10,9,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,9,10,3]
[1,10,9,2,8,7,6,5,4,3]=>[1,9,4,5,6,7,8,2,10,3]
[2,10,1,9,8,7,6,5,4,3]=>[10,2,4,5,6,7,8,9,1,3]
[3,10,9,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,9,10,4]
[4,10,9,8,7,6,1,2,5,3]=>[6,1,5,4,2,7,8,9,10,3]
[5,10,9,8,7,1,2,6,4,3]=>[7,1,4,6,5,2,8,9,10,3]
[6,10,9,8,2,1,7,5,4,3]=>[2,8,4,5,7,6,1,9,10,3]
[7,10,9,1,2,8,6,5,4,3]=>[9,1,4,5,6,8,7,2,10,3]
[8,10,1,2,9,7,6,5,4,3]=>[10,1,4,5,6,7,9,8,2,3]
[9,2,1,10,8,7,6,5,4,3]=>[2,9,4,5,6,7,8,10,1,3]
[10,2,1,4,3,6,5,8,7,9]=>[2,10,4,1,6,3,8,5,7,9]
[10,2,1,4,3,6,5,7,9,8]=>[2,10,4,1,6,3,5,9,7,8]
[10,2,1,4,3,5,7,8,6,9]=>[2,10,4,1,3,8,5,7,6,9]
[10,2,1,4,3,5,7,6,9,8]=>[2,10,4,1,3,7,5,9,6,8]
[10,2,1,4,3,5,6,8,9,7]=>[2,10,4,1,3,5,9,6,8,7]
[10,2,1,3,5,6,4,8,7,9]=>[2,10,1,6,3,5,8,4,7,9]
[10,2,1,3,5,6,4,7,9,8]=>[2,10,1,6,3,5,4,9,7,8]
[10,2,1,3,5,4,7,8,6,9]=>[2,10,1,5,3,8,4,7,6,9]
[10,2,1,3,5,4,7,6,9,8]=>[2,10,1,5,3,7,4,9,6,8]
[10,2,1,3,5,4,6,8,9,7]=>[2,10,1,5,3,4,9,6,8,7]
[10,2,1,3,4,6,7,8,5,9]=>[2,10,1,3,8,4,6,7,5,9]
[10,2,1,3,4,6,7,5,9,8]=>[2,10,1,3,7,4,6,9,5,8]
[10,2,1,3,4,6,5,8,9,7]=>[2,10,1,3,6,4,9,5,8,7]
[10,2,1,3,4,5,7,8,9,6]=>[2,10,1,3,4,9,5,7,8,6]
[10,1,3,4,2,6,5,8,7,9]=>[10,4,1,3,6,2,8,5,7,9]
[10,1,3,4,2,6,5,7,9,8]=>[10,4,1,3,6,2,5,9,7,8]
[10,1,3,4,2,5,7,8,6,9]=>[10,4,1,3,2,8,5,7,6,9]
[10,1,3,4,2,5,7,6,9,8]=>[10,4,1,3,2,7,5,9,6,8]
[10,1,3,4,2,5,6,8,9,7]=>[10,4,1,3,2,5,9,6,8,7]
[10,1,3,2,5,6,4,8,7,9]=>[10,3,1,6,2,5,8,4,7,9]
[10,1,3,2,5,6,4,7,9,8]=>[10,3,1,6,2,5,4,9,7,8]
[10,1,3,2,5,4,7,8,6,9]=>[10,3,1,5,2,8,4,7,6,9]
[10,1,3,2,5,4,7,6,9,8]=>[10,3,1,5,2,7,4,9,6,8]
[10,1,3,2,5,4,6,8,9,7]=>[10,3,1,5,2,4,9,6,8,7]
[10,1,3,2,4,6,7,8,5,9]=>[10,3,1,2,8,4,6,7,5,9]
[10,1,3,2,4,6,7,5,9,8]=>[10,3,1,2,7,4,6,9,5,8]
[10,1,3,2,4,6,5,8,9,7]=>[10,3,1,2,6,4,9,5,8,7]
[10,1,3,2,4,5,7,8,9,6]=>[10,3,1,2,4,9,5,7,8,6]
[10,1,2,4,5,6,3,8,7,9]=>[10,1,6,2,4,5,8,3,7,9]
[10,1,2,4,5,6,3,7,9,8]=>[10,1,6,2,4,5,3,9,7,8]
[10,1,2,4,5,3,7,8,6,9]=>[10,1,5,2,4,8,3,7,6,9]
[10,1,2,4,5,3,7,6,9,8]=>[10,1,5,2,4,7,3,9,6,8]
[10,1,2,4,5,3,6,8,9,7]=>[10,1,5,2,4,3,9,6,8,7]
[10,1,2,4,3,6,7,8,5,9]=>[10,1,4,2,8,3,6,7,5,9]
[10,1,2,4,3,6,7,5,9,8]=>[10,1,4,2,7,3,6,9,5,8]
[10,1,2,4,3,6,5,8,9,7]=>[10,1,4,2,6,3,9,5,8,7]
[10,1,2,4,3,5,7,8,9,6]=>[10,1,4,2,3,9,5,7,8,6]
[10,1,2,3,5,6,7,8,4,9]=>[10,1,2,8,3,5,6,7,4,9]
[10,1,2,3,5,6,7,4,9,8]=>[10,1,2,7,3,5,6,9,4,8]
[10,1,2,3,5,6,4,8,9,7]=>[10,1,2,6,3,5,9,4,8,7]
[10,1,2,3,5,4,7,8,9,6]=>[10,1,2,5,3,9,4,7,8,6]
[10,1,2,3,4,6,7,8,9,5]=>[10,1,2,3,9,4,6,7,8,5]
[6,7,8,9,1,2,3,4,5,10]=>[9,1,2,3,4,6,7,8,5,10]
[1,7,8,9,10,2,3,4,5,6]=>[1,10,2,3,4,5,7,8,9,6]
[5,6,7,8,9,1,2,3,4,10]=>[9,1,2,3,5,6,7,8,4,10]
[1,6,7,8,9,10,2,3,4,5]=>[1,10,2,3,4,6,7,8,9,5]
[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]
[1,2,4,6,5,3,7,8,9,10]=>[1,2,5,4,6,3,7,8,9,10]
[1,2,4,6,8,7,5,3,9,10]=>[1,2,5,4,7,6,8,3,9,10]
[1,2,4,6,8,10,9,7,5,3]=>[1,2,5,4,7,6,9,8,10,3]
[1,2,4,6,8,9,7,5,3,10]=>[1,2,5,4,7,6,9,8,3,10]
[1,2,4,6,7,5,3,8,9,10]=>[1,2,5,4,7,6,3,8,9,10]
[1,2,4,5,3,6,7,8,9,10]=>[1,2,5,4,3,6,7,8,9,10]
[2,4,1,3,6,8,5,7,10,9]=>[4,2,1,3,8,6,5,7,10,9]
[2,4,1,3,6,8,5,7,9,10]=>[4,2,1,3,8,6,5,7,9,10]
[2,4,1,3,7,8,5,6,9,10]=>[4,2,1,3,8,5,7,6,9,10]
[3,4,1,2,7,8,5,6,9,10]=>[4,1,3,2,8,5,7,6,9,10]
[2,4,1,5,6,7,8,9,10,3]=>[4,2,10,1,5,6,7,8,9,3]
[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8]
[2,3,5,1,6,7,8,9,10,4]=>[5,2,3,10,1,6,7,8,9,4]
[2,3,4,5,6,8,1,9,10,7]=>[8,2,3,4,5,6,10,1,9,7]
[2,3,4,6,1,7,8,9,10,5]=>[6,2,3,4,10,1,7,8,9,5]
[2,3,4,5,7,1,8,9,10,6]=>[7,2,3,4,5,10,1,8,9,6]
[4,1,2,5,6,7,8,9,10,3]=>[4,1,10,2,5,6,7,8,9,3]
[4,3,1,5,6,7,8,10,2,9]=>[3,4,10,2,5,6,7,8,1,9]
[2,6,1,5,3,7,8,9,10,4]=>[6,2,5,10,1,3,7,8,9,4]
[5,3,4,1,6,7,9,2,10,8]=>[4,9,5,3,1,6,7,10,2,8]
[2,3,8,1,6,7,4,9,10,5]=>[8,2,3,7,10,1,6,4,9,5]
[6,3,4,5,1,8,2,9,10,7]=>[5,8,6,3,4,1,10,2,9,7]
[2,3,4,10,1,7,8,9,5,6]=>[10,2,3,4,9,5,1,7,8,6]
[9,2,1,3,4,5,6,7,8,10]=>[2,9,1,3,4,5,6,7,8,10]
[3,2,4,5,6,7,8,9,1,10]=>[9,3,2,4,5,6,7,8,1,10]
[9,3,1,2,4,5,6,7,8,10]=>[3,1,9,2,4,5,6,7,8,10]
[9,2,3,1,4,5,6,7,8,10]=>[3,9,2,1,4,5,6,7,8,10]
[4,2,3,5,6,7,8,9,1,10]=>[9,4,2,3,5,6,7,8,1,10]
[3,4,2,5,6,7,8,9,1,10]=>[9,4,3,2,5,6,7,8,1,10]
[8,7,2,4,6,10,1,3,5,9]=>[10,7,1,2,3,4,8,6,5,9]
[2,10,7,9,4,6,8,1,3,5]=>[8,2,1,9,3,4,10,6,7,5]
[6,5,2,4,8,10,1,3,7,9]=>[10,5,1,2,6,4,3,8,7,9]
[2,8,5,7,4,6,10,1,3,9]=>[10,2,1,7,8,4,5,6,3,9]
[10,5,2,4,7,9,6,8,1,3]=>[8,5,1,2,10,9,4,6,7,3]
[10,9,2,8,5,7,4,6,1,3]=>[6,9,1,7,8,4,5,2,10,3]
[8,7,6,5,2,4,10,1,3,9]=>[10,5,1,2,6,7,8,4,3,9]
[10,7,2,6,5,9,4,8,1,3]=>[8,7,1,10,6,4,9,2,5,3]
[6,10,5,9,8,7,2,4,1,3]=>[4,7,1,2,8,6,9,10,5,3]
[4,10,3,9,2,6,8,1,5,7]=>[8,9,10,4,1,2,5,6,3,7]
[4,3,10,7,9,2,6,8,1,5]=>[8,9,4,3,1,2,10,6,7,5]
[3,6,2,5,4,8,10,1,7,9]=>[10,6,3,5,2,4,1,8,7,9]
[3,6,10,2,5,9,4,8,1,7]=>[8,10,3,9,2,6,1,4,5,7]
[3,5,8,2,4,7,6,10,1,9]=>[10,8,3,2,5,7,4,6,1,9]
[3,5,7,10,2,4,6,9,8,1]=>[8,9,3,1,5,4,7,10,6,2]
[10,9,3,5,8,2,4,7,6,1]=>[6,7,8,3,1,9,4,5,10,2]
[8,7,3,6,2,5,4,10,1,9]=>[10,6,7,5,2,3,8,4,1,9]
[7,6,3,5,10,2,4,9,8,1]=>[8,9,6,1,3,7,5,10,4,2]
[3,6,10,9,8,2,5,7,4,1]=>[4,7,3,8,1,6,5,9,10,2]
[10,9,8,7,3,6,2,5,4,1]=>[4,5,6,7,3,1,8,9,10,2]
[5,4,3,8,2,7,6,10,1,9]=>[10,8,4,5,3,7,2,6,1,9]
[5,4,3,7,10,2,6,9,8,1]=>[8,9,4,5,3,1,7,10,6,2]
[5,10,4,9,3,8,2,7,6,1]=>[6,7,8,9,5,10,3,4,1,2]
[4,8,3,7,6,5,2,10,1,9]=>[10,5,6,4,7,8,3,2,1,9]
[4,7,3,6,5,10,2,9,8,1]=>[8,9,7,4,6,3,5,10,1,2]
[4,6,10,3,5,9,8,7,2,1]=>[2,7,8,4,3,6,9,10,5,1]
[10,9,4,8,3,7,6,5,2,1]=>[2,5,6,7,8,9,1,3,10,4]
[7,6,5,4,3,10,2,9,8,1]=>[8,9,4,5,6,7,3,10,1,2]
[6,5,4,10,3,9,8,7,2,1]=>[2,7,8,5,6,4,9,10,3,1]
[5,10,4,9,8,7,6,3,2,1]=>[2,3,6,7,5,8,9,10,1,4]
[9,2,3,4,5,6,7,8,1,10]=>[8,9,2,3,4,5,6,7,1,10]
[1,10,3,4,5,6,7,8,9,2]=>[1,9,10,3,4,5,6,7,8,2]
[9,8,3,4,5,6,7,2,1,10]=>[2,7,8,3,4,5,6,9,1,10]
[1,10,9,4,5,6,7,8,3,2]=>[1,3,8,9,4,5,6,7,10,2]
[8,1,2,3,4,5,6,7,10,9]=>[8,1,2,3,4,5,6,7,10,9]
[2,3,4,5,6,7,9,8,1,10]=>[8,2,3,4,5,6,7,9,1,10]
[1,3,4,5,6,7,8,10,9,2]=>[1,9,3,4,5,6,7,8,10,2]
[1,2,3,4,5,6,10,8,9,7]=>[1,2,3,4,5,6,9,10,8,7]
[1,2,3,4,5,10,7,8,9,6]=>[1,2,3,4,5,9,10,7,8,6]
[1,2,3,4,10,6,7,8,9,5]=>[1,2,3,4,9,10,6,7,8,5]
[1,2,3,10,5,6,7,8,9,4]=>[1,2,3,9,10,5,6,7,8,4]
[1,2,10,4,5,6,7,8,9,3]=>[1,2,9,10,4,5,6,7,8,3]
[10,2,3,4,5,6,7,8,9,1]=>[9,10,2,3,4,5,6,7,8,1]
[1,2,3,4,6,8,5,7,10,9]=>[1,2,3,4,8,6,5,7,10,9]
[1,2,3,4,7,5,8,6,10,9]=>[1,2,3,4,7,8,5,6,10,9]
[1,2,3,5,7,4,6,9,8,10]=>[1,2,3,7,5,4,6,9,8,10]
[1,2,3,6,4,7,5,9,8,10]=>[1,2,3,6,7,4,5,9,8,10]
[2,9,1,3,4,5,6,7,8,10]=>[9,2,1,3,4,5,6,7,8,10]
[2,8,1,3,4,5,6,7,9,10]=>[8,2,1,3,4,5,6,7,9,10]
[2,7,1,3,4,5,6,8,9,10]=>[7,2,1,3,4,5,6,8,9,10]
[2,6,1,3,4,5,7,8,9,10]=>[6,2,1,3,4,5,7,8,9,10]
[2,5,1,3,4,6,7,8,9,10]=>[5,2,1,3,4,6,7,8,9,10]
[7,10,1,2,3,4,5,6,8,9]=>[10,1,2,3,4,5,7,6,8,9]
[6,10,1,2,3,4,5,7,8,9]=>[10,1,2,3,4,6,5,7,8,9]
[4,10,1,2,3,5,6,7,8,9]=>[10,1,2,4,3,5,6,7,8,9]
[3,10,1,2,4,5,6,7,8,9]=>[10,1,3,2,4,5,6,7,8,9]
[10,9,8,7,5,6,4,3,2,1]=>[2,3,4,6,7,5,8,9,10,1]
[2,1,10,9,8,6,7,5,4,3]=>[2,1,4,5,7,8,6,9,10,3]
[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10]
[7,8,9,1,2,3,4,5,10,6]=>[9,1,2,3,4,10,7,8,5,6]
[2,8,9,10,1,3,4,5,6,7]=>[10,2,1,3,4,5,6,8,9,7]
[8,1,9,2,10,3,4,5,6,7]=>[8,9,10,3,4,5,6,1,2,7]
[7,1,8,2,9,3,10,4,5,6]=>[7,8,9,10,4,5,1,2,3,6]
[5,1,6,2,7,3,8,4,10,9]=>[5,6,7,8,1,2,3,4,10,9]
[4,1,5,2,6,3,8,7,10,9]=>[4,5,6,1,2,3,8,7,10,9]
[5,7,6,10,8,9,4,3,2,1]=>[2,3,4,9,5,7,6,10,8,1]
[4,6,5,8,9,10,3,7,2,1]=>[2,7,10,4,6,5,3,8,9,1]
[5,8,6,10,9,7,4,3,2,1]=>[2,3,4,7,5,9,8,1,10,6]
[4,7,5,9,10,8,6,3,2,1]=>[2,3,6,4,8,7,1,10,9,5]
[4,6,5,8,10,7,3,2,1,9]=>[2,3,7,4,6,5,10,8,1,9]
[6,10,8,1,2,7,5,4,3,9]=>[8,1,4,5,7,6,2,10,3,9]
[6,7,5,10,8,9,4,3,2,1]=>[2,3,4,9,7,6,5,10,8,1]
[5,6,4,8,9,10,3,7,2,1]=>[2,7,10,6,5,4,3,8,9,1]
[6,7,5,10,9,8,4,3,2,1]=>[2,3,4,8,7,6,5,9,10,1]
[5,7,4,8,10,9,6,3,2,1]=>[2,3,6,9,5,7,1,8,10,4]
[5,6,4,7,10,9,3,2,8,1]=>[8,3,9,6,5,4,7,2,10,1]
[8,10,7,1,2,9,6,5,4,3]=>[7,1,4,5,6,10,9,8,3,2]
[7,10,6,1,2,9,5,4,8,3]=>[6,1,10,5,8,9,7,2,3,4]
[7,8,5,10,9,6,4,3,2,1]=>[2,3,4,6,9,8,7,1,10,5]
[5,8,4,9,10,7,6,3,2,1]=>[2,3,6,7,5,10,8,4,9,1]
[5,8,4,9,10,6,3,7,2,1]=>[2,7,6,10,5,8,4,3,9,1]
[5,7,4,8,9,6,3,2,1,10]=>[2,3,6,9,5,7,1,8,4,10]
[9,10,8,1,2,7,6,5,4,3]=>[8,1,4,5,6,7,2,10,9,3]
[9,10,8,1,2,6,5,7,4,3]=>[8,1,4,7,6,2,5,10,9,3]
[8,9,7,1,2,6,5,4,3,10]=>[7,1,4,5,6,2,9,8,3,10]
[6,9,5,10,7,8,4,3,2,1]=>[2,3,4,8,9,6,10,7,5,1]
[6,7,4,10,9,8,5,3,2,1]=>[2,3,5,8,7,6,1,9,10,4]
[5,6,4,10,7,9,3,2,8,1]=>[8,3,9,6,5,4,10,2,7,1]
[7,10,6,1,9,8,5,4,3,2]=>[6,3,4,5,10,8,7,9,2,1]
[6,10,5,1,7,9,4,3,8,2]=>[5,10,4,8,9,6,2,1,7,3]
[7,9,5,10,8,6,4,3,2,1]=>[2,3,4,6,8,10,7,9,5,1]
[7,8,4,10,9,6,5,3,2,1]=>[2,3,5,6,9,8,7,4,10,1]
[5,8,4,10,9,6,3,7,2,1]=>[2,7,6,9,5,8,4,3,10,1]
[5,7,4,9,8,6,3,2,1,10]=>[2,3,6,8,5,7,1,9,4,10]
[8,10,7,1,9,6,5,4,3,2]=>[7,3,4,5,6,10,9,8,2,1]
[8,10,5,1,9,6,4,7,3,2]=>[5,3,10,7,6,9,1,8,2,4]
[7,9,5,1,8,6,4,3,2,10]=>[5,3,4,9,6,8,7,2,1,10]
[5,9,4,1,10,8,6,7,3,2]=>[4,3,9,7,5,8,6,10,2,1]
[5,8,4,1,9,7,6,3,2,10]=>[4,3,8,6,5,7,9,2,1,10]
[7,10,6,2,9,8,5,4,3,1]=>[3,4,5,8,6,9,7,10,2,1]
[6,10,5,2,7,9,4,3,8,1]=>[8,5,4,10,9,6,3,2,7,1]
[8,10,7,2,9,6,5,4,3,1]=>[3,4,5,6,9,7,10,8,2,1]
[8,10,5,2,9,6,4,7,3,1]=>[3,7,5,10,6,9,1,8,4,2]
[7,9,5,2,8,6,4,3,1,10]=>[3,4,6,5,8,9,7,1,2,10]
[5,9,4,2,10,8,6,7,3,1]=>[3,7,4,9,5,8,6,10,1,2]
[5,8,4,2,9,7,6,3,1,10]=>[3,6,4,7,5,9,8,1,2,10]
[2,1,3,4,5,6,7,9,10,8]=>[2,1,3,4,5,6,7,10,9,8]
[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]
[7,1,2,3,4,5,8,9,10,6]=>[7,1,2,3,4,10,5,8,9,6]
[6,1,2,3,4,7,8,9,10,5]=>[6,1,2,3,10,4,7,8,9,5]
[5,1,2,3,6,7,8,9,10,4]=>[5,1,2,10,3,6,7,8,9,4]
[1,3,5,7,10,2,4,6,8,9]=>[1,10,3,2,5,4,7,6,8,9]
[7,10,1,3,5,9,2,4,6,8]=>[10,9,1,2,3,4,7,6,5,8]
[5,7,1,3,6,10,2,4,8,9]=>[7,10,1,2,5,3,6,4,8,9]
[10,5,7,1,3,6,9,2,4,8]=>[7,9,1,2,10,3,5,4,6,8]
[5,6,10,9,1,3,8,2,4,7]=>[9,8,1,2,5,6,4,3,10,7]
[3,5,1,4,7,10,2,6,8,9]=>[5,10,3,1,4,2,7,6,8,9]
[3,4,7,10,1,5,9,2,6,8]=>[10,9,3,4,1,2,7,6,5,8]
[7,3,5,1,4,6,10,2,8,9]=>[5,10,7,1,3,4,6,2,8,9]
[4,10,3,7,1,5,6,9,2,8]=>[7,9,10,4,1,5,3,2,6,8]
[6,4,10,3,9,1,5,8,2,7]=>[9,8,10,6,1,4,2,5,3,7]
[3,4,7,6,1,5,10,2,8,9]=>[6,7,3,4,2,10,5,1,8,9]
[3,4,6,10,7,1,5,9,2,8]=>[7,10,3,4,2,6,9,1,5,8]
[4,10,3,6,5,9,1,8,2,7]=>[9,8,10,4,6,3,2,1,5,7]
[3,4,5,10,9,8,1,7,2,6]=>[8,7,3,4,5,2,1,9,10,6]
[1,3,2,5,7,10,4,6,8,9]=>[1,3,2,10,5,4,7,6,8,9]
[1,2,7,10,3,5,9,4,6,8]=>[1,2,10,9,3,4,7,6,5,8]
[1,2,5,7,3,6,10,4,8,9]=>[1,2,7,10,5,3,6,4,8,9]
[10,1,2,5,7,3,6,9,4,8]=>[10,1,7,9,2,3,5,4,6,8]
[5,6,10,1,2,9,3,8,4,7]=>[10,1,9,8,5,6,4,3,2,7]
[5,1,3,2,4,7,10,6,8,9]=>[5,3,1,2,4,10,7,6,8,9]
[4,1,2,7,10,3,5,9,6,8]=>[4,1,10,2,3,9,7,6,5,8]
[2,7,1,5,3,4,6,10,8,9]=>[7,2,5,3,1,4,6,10,8,9]
[2,4,10,1,7,3,5,6,9,8]=>[10,2,7,4,3,5,1,9,6,8]
[6,2,4,10,1,9,3,5,8,7]=>[10,6,9,2,3,4,8,5,1,7]
[4,2,7,1,6,3,5,10,8,9]=>[7,4,6,2,3,1,5,10,8,9]
[4,2,6,10,1,7,3,5,9,8]=>[10,4,7,2,3,6,1,9,5,8]
[2,4,10,6,1,5,9,3,8,7]=>[6,2,10,4,3,9,8,1,5,7]
[4,2,5,10,9,1,8,3,7,6]=>[9,4,8,2,5,7,3,1,10,6]
[1,2,5,4,3,7,10,6,8,9]=>[1,2,4,5,3,10,7,6,8,9]
[1,2,4,3,7,10,5,9,6,8]=>[1,2,4,3,10,9,7,6,5,8]
[1,2,4,7,5,3,6,10,8,9]=>[1,2,5,4,7,3,6,10,8,9]
[10,1,2,4,3,7,5,6,9,8]=>[10,1,4,2,7,5,3,9,6,8]
[6,10,1,2,4,3,9,5,8,7]=>[10,1,4,2,9,6,8,5,3,7]
[2,7,1,4,3,6,5,10,8,9]=>[7,2,4,1,6,3,5,10,8,9]
[2,6,1,3,10,4,7,5,9,8]=>[6,2,1,10,7,3,4,9,5,8]
[10,2,6,1,4,3,5,9,8,7]=>[6,10,4,1,3,2,8,9,5,7]
[2,5,3,10,1,9,4,8,7,6]=>[10,2,5,9,3,7,8,4,1,6]
[1,2,3,7,6,5,4,10,8,9]=>[1,2,3,5,6,7,4,10,8,9]
[1,2,3,6,5,10,7,4,9,8]=>[1,2,3,7,6,5,10,9,4,8]
[5,1,2,3,10,6,4,9,8,7]=>[5,1,2,6,3,10,8,9,4,7]
[2,3,10,1,5,4,9,8,7,6]=>[10,2,3,5,1,7,8,9,4,6]
[9,7,5,4,3,2,1,10,8,6]=>[2,3,4,5,7,9,8,10,6,1]
[8,6,5,4,3,2,1,9,7,10]=>[2,3,4,5,6,8,9,1,7,10]
[9,7,5,3,2,1,10,8,6,4]=>[2,3,5,7,6,9,8,10,1,4]
[8,6,4,3,2,1,9,7,5,10]=>[2,3,4,6,8,7,9,5,1,10]
[8,5,4,3,2,1,9,6,10,7]=>[2,3,4,5,8,9,10,1,6,7]
[7,5,4,3,2,1,8,6,9,10]=>[2,3,4,5,7,8,1,6,9,10]
[8,6,4,2,1,9,7,5,3,10]=>[2,4,6,5,8,7,9,1,3,10]
[8,5,3,2,1,9,6,4,10,7]=>[2,3,5,8,6,9,10,4,1,7]
[7,5,3,2,1,8,6,4,9,10]=>[2,3,5,7,6,8,4,1,9,10]
[7,4,3,2,1,8,5,9,6,10]=>[2,3,4,7,8,9,1,5,6,10]
[6,4,3,2,1,7,5,8,9,10]=>[2,3,4,6,7,1,5,8,9,10]
[8,5,3,1,9,6,4,2,10,7]=>[3,5,4,8,6,9,10,1,2,7]
[7,5,3,1,8,6,4,2,9,10]=>[3,5,4,7,6,8,1,2,9,10]
[8,5,2,1,9,6,3,10,7,4]=>[2,5,8,6,9,7,10,3,1,4]
[7,4,2,1,8,5,3,9,6,10]=>[2,4,7,5,8,9,3,1,6,10]
[6,4,2,1,7,5,3,8,9,10]=>[2,4,6,5,7,3,1,8,9,10]
[7,3,2,1,8,4,9,5,10,6]=>[2,3,7,8,9,10,1,4,5,6]
[6,3,2,1,7,4,8,5,9,10]=>[2,3,6,7,8,1,4,5,9,10]
[5,3,2,1,6,4,7,8,9,10]=>[2,3,5,6,1,4,7,8,9,10]
[7,4,1,8,5,2,9,6,3,10]=>[4,7,5,8,6,9,2,1,3,10]
[7,3,1,8,4,2,9,5,10,6]=>[3,7,4,8,9,10,2,1,5,6]
[6,3,1,7,4,2,8,5,9,10]=>[3,6,4,7,8,2,1,5,9,10]
[5,3,1,6,4,2,7,8,9,10]=>[3,5,4,6,2,1,7,8,9,10]
[6,2,1,7,3,8,4,9,5,10]=>[2,6,7,8,9,1,3,4,5,10]
[5,2,1,6,3,7,4,8,9,10]=>[2,5,6,7,1,3,4,8,9,10]
[4,2,1,5,3,6,7,8,9,10]=>[2,4,5,1,3,6,7,8,9,10]
[5,1,6,2,7,3,8,4,9,10]=>[5,6,7,8,1,2,3,4,9,10]
[4,1,5,2,6,3,7,8,9,10]=>[4,5,6,1,2,3,7,8,9,10]
[3,1,4,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]
[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]
[10,2,8,4,6,5,3,7,1,9]=>[7,10,5,6,8,3,4,2,1,9]
[10,2,9,4,6,5,3,7,8,1]=>[8,10,5,6,9,3,4,7,2,1]
[10,2,8,4,7,5,6,3,1,9]=>[3,6,10,8,7,5,4,1,2,9]
[10,2,9,4,7,5,6,3,8,1]=>[8,10,6,9,7,5,4,3,2,1]
[10,2,9,4,8,5,6,7,3,1]=>[3,7,10,9,8,5,6,4,1,2]
[10,2,8,6,5,4,3,7,1,9]=>[7,10,4,5,6,8,3,2,1,9]
[10,2,9,6,5,4,3,7,8,1]=>[8,10,4,5,6,9,3,7,2,1]
[10,2,8,7,5,4,6,3,1,9]=>[3,6,10,5,7,4,8,1,2,9]
[10,2,9,7,5,4,6,3,8,1]=>[8,10,6,5,7,4,9,3,2,1]
[10,2,9,8,5,4,6,7,3,1]=>[3,7,10,5,8,4,6,9,1,2]
[10,2,8,7,6,5,4,3,1,9]=>[3,4,5,6,7,8,10,1,2,9]
[10,2,9,7,6,5,4,3,8,1]=>[8,10,4,5,6,7,9,3,2,1]
[10,2,9,8,6,5,4,7,3,1]=>[3,7,10,5,6,8,4,9,1,2]
[10,2,9,8,7,5,6,4,3,1]=>[3,4,6,10,7,5,8,9,2,1]
[10,8,3,4,6,5,2,7,1,9]=>[7,5,6,2,8,4,3,10,1,9]
[10,9,3,4,6,5,2,7,8,1]=>[8,5,6,2,9,4,3,7,10,1]
[10,8,3,4,7,5,6,2,1,9]=>[2,6,8,3,7,5,4,10,1,9]
[10,9,3,4,7,5,6,2,8,1]=>[8,6,9,3,7,5,4,2,10,1]
[10,9,3,4,8,5,6,7,2,1]=>[2,7,9,3,8,5,6,4,10,1]
[10,8,3,6,5,4,2,7,1,9]=>[7,4,5,6,8,3,2,10,1,9]
[10,9,3,6,5,4,2,7,8,1]=>[8,4,5,6,9,3,2,7,10,1]
[10,8,3,7,5,4,6,2,1,9]=>[2,6,8,5,7,4,3,10,1,9]
[10,9,3,7,5,4,6,2,8,1]=>[8,6,9,5,7,4,3,2,10,1]
[10,9,3,8,5,4,6,7,2,1]=>[2,7,9,5,8,4,6,3,10,1]
[10,8,3,7,6,5,4,2,1,9]=>[2,4,5,6,7,8,1,10,3,9]
[10,9,3,7,6,5,4,2,8,1]=>[8,4,5,6,7,9,2,3,10,1]
[10,9,3,8,6,5,4,7,2,1]=>[2,7,9,5,6,8,4,3,10,1]
[10,9,3,8,7,5,6,4,2,1]=>[2,4,6,9,7,5,8,1,10,3]
[10,8,6,4,5,3,2,7,1,9]=>[7,3,5,6,4,8,2,10,1,9]
[10,9,6,4,5,3,2,7,8,1]=>[8,3,5,6,4,9,2,7,10,1]
[10,8,7,4,5,3,6,2,1,9]=>[2,6,5,7,4,3,8,10,1,9]
[10,9,7,4,5,3,6,2,8,1]=>[8,6,5,7,4,3,9,2,10,1]
[10,9,8,4,5,3,6,7,2,1]=>[2,7,5,8,4,3,6,9,10,1]
[10,8,7,4,6,5,3,2,1,9]=>[2,3,5,6,7,1,8,10,4,9]
[10,9,7,4,6,5,3,2,8,1]=>[8,3,5,6,7,2,9,4,10,1]
[10,9,8,4,6,5,3,7,2,1]=>[2,7,5,6,8,3,4,9,10,1]
[10,9,8,4,7,5,6,3,2,1]=>[2,3,6,8,7,5,4,9,10,1]
[10,9,7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,9,2,10,1]
[10,9,8,6,5,4,3,7,2,1]=>[2,7,4,5,6,8,3,9,10,1]
[10,9,8,7,5,4,6,3,2,1]=>[2,3,6,5,7,4,8,9,10,1]
[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]
[10,3,4,5,6,7,8,9,1,2]=>[9,1,10,3,4,5,6,7,8,2]
[9,3,4,5,6,7,8,1,10,2]=>[8,10,9,3,4,5,6,7,1,2]
[8,3,4,5,6,7,1,9,10,2]=>[7,10,8,3,4,5,6,1,9,2]
[7,3,4,5,6,1,8,9,10,2]=>[6,10,7,3,4,5,1,8,9,2]
[6,3,4,5,1,7,8,9,10,2]=>[5,10,6,3,4,1,7,8,9,2]
[5,3,4,1,6,7,8,9,10,2]=>[4,10,5,3,1,6,7,8,9,2]
[4,3,1,5,6,7,8,9,10,2]=>[3,4,10,2,5,6,7,8,9,1]
[10,9,4,5,6,7,8,1,2,3]=>[8,1,2,9,4,5,6,7,10,3]
[10,3,8,5,6,7,1,9,2,4]=>[7,9,10,2,8,5,6,3,1,4]
[10,3,4,7,6,1,8,9,2,5]=>[6,7,9,1,3,10,4,2,8,5]
[10,3,4,5,1,7,8,9,2,6]=>[5,9,10,3,4,2,1,7,8,6]
[5,3,4,1,6,10,8,9,2,7]=>[4,9,5,3,1,6,2,10,8,7]
[4,3,1,5,6,7,10,9,2,8]=>[3,4,9,2,5,6,7,1,10,8]
[3,1,4,5,6,7,8,10,2,9]=>[3,10,1,4,5,6,7,8,2,9]
[10,9,1,3,5,8,2,4,6,7]=>[9,8,1,2,3,4,6,5,10,7]
[7,6,1,3,5,10,2,4,8,9]=>[6,7,2,1,3,10,5,4,8,9]
[6,10,7,9,1,3,8,2,4,5]=>[9,8,1,2,4,6,10,3,7,5]
[10,9,8,7,1,3,6,2,4,5]=>[7,6,1,2,4,3,8,9,10,5]
[5,4,1,3,7,10,2,6,8,9]=>[4,5,2,10,3,1,7,6,8,9]
[3,10,4,9,1,5,8,2,6,7]=>[9,8,3,10,1,2,6,5,4,7]
[4,7,5,6,1,3,10,2,8,9]=>[6,10,1,4,7,5,3,2,8,9]
[4,6,10,5,7,9,1,8,2,3]=>[9,8,2,4,10,6,5,1,7,3]
[10,9,4,8,5,7,1,6,2,3]=>[7,6,2,9,8,1,5,4,10,3]
[7,6,5,4,1,3,10,2,8,9]=>[4,5,2,6,7,10,3,1,8,9]
[6,5,4,10,7,9,1,8,2,3]=>[9,8,2,5,6,4,10,1,7,3]
[5,10,6,9,8,7,1,4,2,3]=>[7,4,2,1,5,8,9,10,6,3]
[10,9,8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,9,10,3]
[3,2,1,5,7,10,4,6,8,9]=>[2,3,1,10,5,4,7,6,8,9]
[1,10,2,9,3,5,8,4,6,7]=>[1,10,9,8,3,4,6,5,2,7]
[1,7,2,6,3,5,10,4,8,9]=>[1,7,6,10,3,2,5,4,8,9]
[1,6,10,2,7,9,3,8,4,5]=>[1,10,9,8,4,6,2,3,7,5]
[10,9,1,8,2,7,3,6,4,5]=>[9,8,7,6,4,3,2,1,10,5]
[2,5,3,4,1,7,10,6,8,9]=>[4,2,5,3,1,10,7,6,8,9]
[10,2,4,1,9,3,5,8,6,7]=>[4,10,9,2,3,8,6,5,1,7]
[2,4,7,3,5,6,1,10,8,9]=>[6,2,7,4,3,5,1,10,8,9]
[2,4,6,10,3,5,7,9,8,1]=>[8,2,9,4,1,6,5,10,7,3]
[10,9,2,4,8,3,5,7,6,1]=>[6,7,9,3,1,8,5,4,10,2]
[7,6,2,5,3,4,1,10,8,9]=>[4,6,5,3,2,7,1,10,8,9]
[6,5,2,4,10,3,7,9,8,1]=>[8,5,6,3,9,4,1,10,7,2]
[5,10,6,9,2,8,3,7,4,1]=>[4,7,9,8,5,10,1,3,6,2]
[10,9,8,7,2,6,3,5,4,1]=>[4,5,7,6,1,3,8,9,10,2]
[5,4,3,2,1,7,10,6,8,9]=>[2,3,4,5,1,10,7,6,8,9]
[3,2,1,10,4,9,5,8,6,7]=>[2,3,1,10,9,8,6,5,4,7]
[4,3,2,7,5,6,1,10,8,9]=>[6,3,4,2,7,5,1,10,8,9]
[4,3,2,6,10,5,7,9,8,1]=>[8,3,4,2,9,6,1,10,7,5]
[2,10,3,9,4,8,5,7,6,1]=>[6,2,7,10,9,8,1,5,4,3]
[3,7,4,6,5,2,1,10,8,9]=>[2,5,3,6,7,1,4,10,8,9]
[3,6,4,5,2,10,7,9,8,1]=>[8,5,3,6,4,2,9,10,1,7]
[3,5,10,4,6,9,8,7,2,1]=>[2,7,3,8,5,4,9,10,6,1]
[10,9,3,8,4,7,6,5,2,1]=>[2,5,6,7,9,8,3,1,10,4]
[7,6,5,4,3,2,1,10,8,9]=>[2,3,4,5,6,7,1,10,8,9]
[6,5,4,3,2,10,7,9,8,1]=>[8,3,4,5,6,2,9,10,1,7]
[5,4,3,10,6,9,8,7,2,1]=>[2,7,4,5,3,8,9,10,6,1]
[4,10,5,9,8,7,6,3,2,1]=>[2,3,6,4,7,8,9,10,1,5]
[9,2,3,4,5,6,7,10,1,8]=>[10,9,2,3,4,5,6,1,7,8]
[9,2,3,4,5,6,10,8,1,7]=>[8,10,1,3,4,5,2,9,6,7]
[9,2,3,4,5,10,7,8,1,6]=>[8,9,2,3,4,1,10,7,5,6]
[9,2,3,4,10,6,7,8,1,5]=>[8,9,2,3,1,10,6,7,4,5]
[9,2,3,10,5,6,7,8,1,4]=>[8,9,2,1,10,5,6,7,3,4]
[9,2,10,4,5,6,7,8,1,3]=>[8,9,1,10,4,5,6,7,2,3]
[10,9,3,4,5,6,7,8,2,1]=>[2,8,9,3,4,5,6,7,10,1]
[2,10,4,5,6,7,8,9,1,3]=>[9,2,1,10,4,5,6,7,8,3]
[9,8,4,5,6,7,1,2,10,3]=>[7,1,10,8,4,5,6,9,2,3]
[2,10,9,5,6,7,8,1,3,4]=>[8,2,1,3,9,5,6,7,10,4]
[9,3,8,5,6,7,1,2,10,4]=>[7,1,9,10,8,5,6,3,2,4]
[9,7,4,5,6,1,8,2,10,3]=>[6,8,10,7,4,5,9,1,2,3]
[2,10,4,9,6,7,8,1,3,5]=>[8,2,1,10,3,9,6,7,4,5]
[2,10,8,5,6,7,1,9,3,4]=>[7,2,9,3,8,5,6,10,1,4]
[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]
[1,4,2,5,3,6,7,8,9,10]=>[1,4,5,2,3,6,7,8,9,10]
[1,4,2,3,5,6,7,8,9,10]=>[1,4,2,3,5,6,7,8,9,10]
[1,5,2,6,3,7,4,8,9,10]=>[1,5,6,7,2,3,4,8,9,10]
[1,5,2,3,6,4,7,8,9,10]=>[1,5,2,6,3,4,7,8,9,10]
[1,5,2,6,3,4,7,8,9,10]=>[1,5,6,3,2,4,7,8,9,10]
[1,5,2,3,4,6,7,8,9,10]=>[1,5,2,3,4,6,7,8,9,10]
[1,5,2,4,3,6,7,8,9,10]=>[1,5,4,2,3,6,7,8,9,10]
[1,6,2,7,3,8,4,9,5,10]=>[1,6,7,8,9,2,3,4,5,10]
[1,6,2,3,7,4,8,5,9,10]=>[1,6,2,7,8,3,4,5,9,10]
[1,6,2,7,3,4,5,8,9,10]=>[1,6,7,3,4,2,5,8,9,10]
[1,6,2,3,4,7,5,8,9,10]=>[1,6,2,3,7,4,5,8,9,10]
[1,6,2,4,3,7,5,8,9,10]=>[1,6,4,2,7,3,5,8,9,10]
[1,6,2,4,3,5,7,8,9,10]=>[1,6,4,2,3,5,7,8,9,10]
[1,6,2,5,3,4,7,8,9,10]=>[1,6,5,3,2,4,7,8,9,10]
[1,7,2,8,3,4,5,9,6,10]=>[1,7,8,3,4,9,2,5,6,10]
[1,7,2,3,4,8,5,9,6,10]=>[1,7,2,3,8,9,4,5,6,10]
[1,7,2,8,3,9,4,5,6,10]=>[1,7,8,9,4,5,2,3,6,10]
[1,7,2,4,3,8,5,6,9,10]=>[1,7,4,2,8,5,3,6,9,10]
[1,7,2,4,3,5,8,6,9,10]=>[1,7,4,2,3,8,5,6,9,10]
[1,7,2,8,3,5,4,6,9,10]=>[1,7,8,5,3,4,2,6,9,10]
[1,7,2,5,3,4,8,6,9,10]=>[1,7,5,3,2,8,4,6,9,10]
[1,7,2,5,3,4,6,8,9,10]=>[1,7,5,3,2,4,6,8,9,10]
[1,7,2,6,3,5,4,8,9,10]=>[1,7,6,5,3,2,4,8,9,10]
[1,8,2,5,3,9,4,10,6,7]=>[1,8,5,9,2,10,6,3,4,7]
[1,8,2,9,3,5,4,6,7,10]=>[1,8,9,5,3,4,6,2,7,10]
[1,8,2,5,3,4,9,6,7,10]=>[1,8,5,3,2,9,6,4,7,10]
[1,8,2,5,3,4,6,9,7,10]=>[1,8,5,3,2,4,9,6,7,10]
[1,8,2,6,3,9,4,5,7,10]=>[1,8,6,9,4,2,5,3,7,10]
[1,8,2,6,3,4,5,9,7,10]=>[1,8,6,3,4,2,9,5,7,10]
[1,8,2,6,3,5,4,7,9,10]=>[1,8,6,5,3,2,4,7,9,10]
[1,8,2,7,3,6,4,5,9,10]=>[1,8,7,6,4,3,2,5,9,10]
[1,9,2,10,3,7,4,8,5,6]=>[1,9,10,7,8,5,3,4,2,6]
[1,9,2,7,3,5,4,10,6,8]=>[1,9,7,5,3,10,2,6,4,8]
[1,9,2,7,3,5,4,6,10,8]=>[1,9,7,5,3,4,2,10,6,8]
[1,9,2,7,3,6,4,5,8,10]=>[1,9,7,6,4,3,2,5,8,10]
[1,9,2,8,3,7,4,6,5,10]=>[1,9,8,7,6,4,3,2,5,10]
[1,10,2,9,3,8,4,7,5,6]=>[1,10,9,8,7,5,4,3,2,6]
[9,2,3,4,5,6,7,8,10,1]=>[10,9,2,3,4,5,6,7,8,1]
[8,2,3,4,5,6,7,10,9,1]=>[9,8,2,3,4,5,6,7,10,1]
[7,2,3,4,5,6,10,8,9,1]=>[9,7,2,3,4,5,6,10,8,1]
[6,2,3,4,5,10,7,8,9,1]=>[9,6,2,3,4,5,10,7,8,1]
[5,2,3,4,10,6,7,8,9,1]=>[9,5,2,3,4,10,6,7,8,1]
[4,2,3,10,5,6,7,8,9,1]=>[9,4,2,3,10,5,6,7,8,1]
[3,2,10,4,5,6,7,8,9,1]=>[9,3,2,10,4,5,6,7,8,1]
[2,10,3,4,5,6,7,8,9,1]=>[9,2,10,3,4,5,6,7,8,1]
[2,3,4,6,7,5,8,9,1,10]=>[9,2,3,4,7,6,5,8,1,10]
[1,3,4,5,7,8,6,9,10,2]=>[1,10,3,4,5,8,7,6,9,2]
[9,7,5,3,1,8,6,4,2,10]=>[3,5,4,7,6,9,8,2,1,10]
[1,10,8,6,4,2,9,7,5,3]=>[1,4,6,5,8,7,10,9,3,2]
[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[4,2,1,3,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]
[2,4,7,1,3,5,6,8,9,10]=>[7,2,1,4,3,5,6,8,9,10]
[6,3,5,1,2,4,7,8,9,10]=>[5,1,6,2,3,4,7,8,9,10]
[5,3,2,1,4,6,7,8,9,10]=>[2,3,5,1,4,6,7,8,9,10]
[2,4,6,9,1,3,5,7,8,10]=>[9,2,1,4,3,6,5,7,8,10]
[4,3,6,8,1,2,5,7,9,10]=>[8,1,4,3,2,6,5,7,9,10]
[3,7,2,5,1,4,6,8,9,10]=>[5,7,3,1,2,4,6,8,9,10]
[7,4,2,6,1,3,5,8,9,10]=>[6,4,1,7,3,2,5,8,9,10]
[6,4,3,2,1,5,7,8,9,10]=>[2,3,4,6,1,5,7,8,9,10]
[4,3,7,8,10,1,2,5,6,9]=>[10,1,4,3,2,5,7,8,6,9]
[5,9,2,6,8,1,3,4,7,10]=>[8,9,1,3,5,2,4,6,7,10]
[5,4,2,7,9,1,3,6,8,10]=>[9,4,1,5,2,3,7,6,8,10]
[8,5,7,3,4,1,2,6,9,10]=>[4,1,7,3,8,2,5,6,9,10]
[8,5,3,2,7,1,4,6,9,10]=>[7,3,5,1,8,4,2,6,9,10]
[7,5,4,3,2,1,6,8,9,10]=>[2,3,4,5,7,1,6,8,9,10]
[5,7,2,6,9,10,1,3,4,8]=>[10,7,1,3,5,2,6,4,9,8]
[5,4,2,8,9,10,1,3,6,7]=>[10,4,1,5,2,3,6,8,9,7]
[3,6,10,2,5,8,1,4,7,9]=>[8,10,3,1,2,6,4,5,7,9]
[6,5,3,2,8,10,1,4,7,9]=>[10,3,5,1,6,2,4,8,7,9]
[4,9,3,7,2,6,1,5,8,10]=>[6,7,9,4,1,2,3,5,8,10]
[9,6,4,8,2,5,1,3,7,10]=>[5,8,1,6,2,9,3,4,7,10]
[9,6,4,3,2,8,1,5,7,10]=>[8,3,4,6,1,9,5,2,7,10]
[8,6,5,4,3,2,1,7,9,10]=>[2,3,4,5,6,8,1,7,9,10]
[6,4,9,10,3,7,8,1,2,5]=>[8,1,10,6,2,4,3,7,9,5]
[7,10,3,8,2,5,9,1,4,6]=>[9,8,10,1,2,4,7,3,5,6]
[10,7,4,9,2,6,8,1,3,5]=>[8,9,1,7,3,2,10,6,4,5]
[7,6,4,3,2,9,10,1,5,8]=>[10,3,4,6,1,7,2,5,9,8]
[10,7,9,5,6,3,4,1,2,8]=>[4,1,6,3,9,5,10,2,7,8]
[10,7,5,3,9,2,6,1,4,8]=>[6,9,5,1,7,2,10,4,3,8]
[10,7,5,4,3,2,9,1,6,8]=>[9,3,4,5,7,1,10,6,2,8]
[9,7,6,5,4,3,2,1,8,10]=>[2,3,4,5,6,7,9,1,8,10]
[10,8,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,8,4,10,6,3]
[10,8,6,4,3,9,2,7,1,5]=>[7,9,4,6,1,8,2,10,3,5]
[10,8,6,5,4,3,2,9,1,7]=>[9,3,4,5,6,8,1,10,2,7]
[10,3,2,4,5,6,7,8,9,1]=>[9,3,10,2,4,5,6,7,8,1]
[9,1,2,3,4,5,6,8,7,10]=>[9,1,2,3,4,5,8,6,7,10]
[1,10,2,3,4,5,6,7,9,8]=>[1,10,2,3,4,5,6,9,7,8]
[1,3,4,5,6,7,8,10,2,9]=>[1,10,3,4,5,6,7,8,2,9]
[1,3,4,5,6,7,8,9,2,10]=>[1,9,3,4,5,6,7,8,2,10]
[1,8,10,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,10,2]
[1,7,10,9,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,9,10,2]
[1,5,10,9,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,9,10,2]
[1,4,10,9,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,9,10,2]
[9,8,1,10,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,10,2,1]
[7,8,10,1,9,6,5,4,3,2]=>[10,3,4,5,6,9,7,8,1,2]
[6,7,10,9,1,8,5,4,3,2]=>[9,3,4,5,8,6,7,1,10,2]
[6,5,10,9,8,1,7,4,3,2]=>[8,3,4,7,6,5,1,9,10,2]
[4,5,10,9,8,7,1,6,3,2]=>[7,3,6,4,5,1,8,9,10,2]
[3,4,10,9,8,7,6,1,5,2]=>[6,5,3,4,1,7,8,9,10,2]
[3,2,10,9,8,7,6,5,1,4]=>[5,3,2,1,6,7,8,9,10,4]
[1,2,3,4,5,6,8,10,9,7]=>[1,2,3,4,5,6,9,8,10,7]
[1,2,3,4,5,7,8,10,9,6]=>[1,2,3,4,5,9,7,8,10,6]
[1,2,3,4,5,7,9,10,8,6]=>[1,2,3,4,5,8,7,10,9,6]
[1,2,3,4,5,7,10,9,8,6]=>[1,2,3,4,5,8,7,9,10,6]
[1,2,3,4,6,7,8,10,9,5]=>[1,2,3,4,9,6,7,8,10,5]
[1,2,3,4,6,7,9,10,8,5]=>[1,2,3,4,8,6,7,10,9,5]
[1,2,3,4,6,7,10,9,8,5]=>[1,2,3,4,8,6,7,9,10,5]
[1,2,3,4,6,8,10,9,7,5]=>[1,2,3,4,7,6,9,8,10,5]
[1,2,3,4,6,10,9,8,7,5]=>[1,2,3,4,7,6,8,9,10,5]
[1,2,3,5,6,7,9,10,8,4]=>[1,2,3,8,5,6,7,10,9,4]
[1,2,3,5,6,7,10,9,8,4]=>[1,2,3,8,5,6,7,9,10,4]
[1,2,3,5,6,8,9,10,7,4]=>[1,2,3,7,5,6,10,8,9,4]
[1,2,3,5,6,8,10,9,7,4]=>[1,2,3,7,5,6,9,8,10,4]
[1,2,3,5,6,10,9,8,7,4]=>[1,2,3,7,5,6,8,9,10,4]
[1,2,3,5,7,9,10,8,6,4]=>[1,2,3,6,5,8,7,10,9,4]
[1,2,3,5,7,10,9,8,6,4]=>[1,2,3,6,5,8,7,9,10,4]
[1,2,3,5,10,9,8,7,6,4]=>[1,2,3,6,5,7,8,9,10,4]
[1,2,4,5,7,8,10,9,6,3]=>[1,2,6,4,5,9,7,8,10,3]
[1,2,4,5,7,9,10,8,6,3]=>[1,2,6,4,5,8,7,10,9,3]
[1,2,4,5,7,10,9,8,6,3]=>[1,2,6,4,5,8,7,9,10,3]
[1,2,4,5,10,9,8,7,6,3]=>[1,2,6,4,5,7,8,9,10,3]
[1,2,4,6,10,9,8,7,5,3]=>[1,2,5,4,7,6,8,9,10,3]
[1,2,4,10,9,8,7,6,5,3]=>[1,2,5,4,6,7,8,9,10,3]
[1,3,5,7,9,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,2]
[1,3,5,7,10,9,8,6,4,2]=>[1,4,3,6,5,8,7,9,10,2]
[1,3,5,10,9,8,7,6,4,2]=>[1,4,3,6,5,7,8,9,10,2]
[1,3,10,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,10,2]
[9,1,8,2,3,4,5,6,10,7]=>[9,8,2,3,4,5,10,1,6,7]
[9,7,1,2,3,4,5,6,10,8]=>[7,1,2,3,4,5,9,10,6,8]
[2,10,1,9,3,4,5,6,7,8]=>[10,2,9,3,4,5,6,7,1,8]
[2,10,8,1,3,4,5,6,7,9]=>[8,2,1,3,4,5,6,10,7,9]
[4,1,3,2,5,6,7,8,9,10]=>[4,3,1,2,5,6,7,8,9,10]
[6,1,2,4,5,3,7,8,9,10]=>[6,1,5,2,4,3,7,8,9,10]
[5,4,1,2,3,6,7,8,9,10]=>[4,1,2,5,3,6,7,8,9,10]
[8,1,2,3,5,6,7,4,9,10]=>[8,1,2,7,3,5,6,4,9,10]
[7,5,1,2,4,6,3,8,9,10]=>[5,1,7,3,6,4,2,8,9,10]
[4,1,6,3,5,2,7,8,9,10]=>[4,5,6,1,3,2,7,8,9,10]
[9,6,1,2,3,4,7,8,5,10]=>[6,1,2,3,9,8,5,7,4,10]
[8,1,7,3,2,6,4,5,9,10]=>[8,3,7,6,4,2,1,5,9,10]
[8,3,6,1,2,5,7,4,9,10]=>[6,1,8,7,2,3,5,4,9,10]
[5,7,1,6,2,4,3,8,9,10]=>[7,6,4,2,5,1,3,8,9,10]
[7,3,4,6,1,2,5,8,9,10]=>[6,1,7,3,2,4,5,8,9,10]
[10,1,8,3,2,4,7,6,9,5]=>[10,3,8,2,9,7,4,1,6,5]
[10,3,7,1,2,4,5,8,9,6]=>[7,1,10,2,4,9,3,5,8,6]
[6,1,2,9,4,5,7,8,3,10]=>[6,1,8,9,4,2,5,7,3,10]
[9,8,1,7,3,2,4,6,5,10]=>[8,3,7,2,6,4,1,9,5,10]
[9,3,4,7,1,2,6,8,5,10]=>[7,1,9,3,8,2,4,6,5,10]
[4,1,6,3,8,5,7,2,9,10]=>[4,7,6,1,8,3,5,2,9,10]
[6,8,5,1,7,2,3,4,9,10]=>[5,8,1,3,7,6,2,4,9,10]
[8,3,4,5,7,1,2,6,9,10]=>[7,1,8,3,4,2,5,6,9,10]
[7,10,1,2,8,4,5,3,9,6]=>[10,1,5,8,4,9,7,2,3,6]
[10,1,6,3,9,5,2,8,4,7]=>[10,5,9,6,8,1,2,3,4,7]
[10,9,5,1,8,3,2,6,7,4]=>[5,3,9,8,7,4,6,2,10,1]
[10,3,4,5,8,1,2,7,9,6]=>[8,1,10,3,4,9,2,5,7,6]
[5,7,1,9,2,8,4,6,3,10]=>[7,9,6,8,5,4,1,2,3,10]
[7,9,4,6,1,8,2,3,5,10]=>[6,8,2,9,3,4,7,1,5,10]
[9,3,4,5,6,8,1,2,7,10]=>[8,1,9,3,4,5,2,6,7,10]
[4,1,6,3,8,5,10,7,9,2]=>[4,9,6,1,8,3,10,5,7,2]
[6,8,10,1,7,2,9,3,5,4]=>[10,7,9,5,3,6,1,8,2,4]
[8,10,4,5,7,1,9,2,3,6]=>[7,9,2,10,4,3,5,8,1,6]
[10,3,4,5,6,7,9,1,2,8]=>[9,1,10,3,4,5,6,2,7,8]
[3,5,7,9,1,2,4,6,8,10]=>[9,1,3,2,5,4,7,6,8,10]
[3,5,7,1,2,4,6,8,9,10]=>[7,1,3,2,5,4,6,8,9,10]
[3,5,9,1,2,4,6,7,8,10]=>[9,1,3,2,5,4,6,7,8,10]
[3,5,8,1,2,4,6,7,9,10]=>[8,1,3,2,5,4,6,7,9,10]
[3,5,1,2,4,6,7,8,9,10]=>[5,1,3,2,4,6,7,8,9,10]
[3,7,9,1,2,4,5,6,8,10]=>[9,1,3,2,4,5,7,6,8,10]
[3,7,8,1,2,4,5,6,9,10]=>[8,1,3,2,4,5,7,6,9,10]
[3,6,9,1,2,4,5,7,8,10]=>[9,1,3,2,4,6,5,7,8,10]
[3,6,8,1,2,4,5,7,9,10]=>[8,1,3,2,4,6,5,7,9,10]
[3,6,1,2,4,5,7,8,9,10]=>[6,1,3,2,4,5,7,8,9,10]
[3,9,1,2,4,5,6,7,8,10]=>[9,1,3,2,4,5,6,7,8,10]
[3,8,1,2,4,5,6,7,9,10]=>[8,1,3,2,4,5,6,7,9,10]
[3,7,1,2,4,5,6,8,9,10]=>[7,1,3,2,4,5,6,8,9,10]
[5,7,9,1,2,3,4,6,8,10]=>[9,1,2,3,5,4,7,6,8,10]
[5,7,8,1,2,3,4,6,9,10]=>[8,1,2,3,5,4,7,6,9,10]
[5,6,9,1,2,3,4,7,8,10]=>[9,1,2,3,5,6,4,7,8,10]
[5,6,8,1,2,3,4,7,9,10]=>[8,1,2,3,5,6,4,7,9,10]
[5,6,1,2,3,4,7,8,9,10]=>[6,1,2,3,5,4,7,8,9,10]
[4,7,9,1,2,3,5,6,8,10]=>[9,1,2,4,3,5,7,6,8,10]
[4,7,8,1,2,3,5,6,9,10]=>[8,1,2,4,3,5,7,6,9,10]
[4,6,9,1,2,3,5,7,8,10]=>[9,1,2,4,3,6,5,7,8,10]
[4,6,8,1,2,3,5,7,9,10]=>[8,1,2,4,3,6,5,7,9,10]
[4,6,1,2,3,5,7,8,9,10]=>[6,1,2,4,3,5,7,8,9,10]
[4,9,1,2,3,5,6,7,8,10]=>[9,1,2,4,3,5,6,7,8,10]
[4,8,1,2,3,5,6,7,9,10]=>[8,1,2,4,3,5,6,7,9,10]
[4,7,1,2,3,5,6,8,9,10]=>[7,1,2,4,3,5,6,8,9,10]
[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]
[7,9,1,2,3,4,5,6,8,10]=>[9,1,2,3,4,5,7,6,8,10]
[7,8,1,2,3,4,5,6,9,10]=>[8,1,2,3,4,5,7,6,9,10]
[6,9,1,2,3,4,5,7,8,10]=>[9,1,2,3,4,6,5,7,8,10]
[6,8,1,2,3,4,5,7,9,10]=>[8,1,2,3,4,6,5,7,9,10]
[6,7,1,2,3,4,5,8,9,10]=>[7,1,2,3,4,6,5,8,9,10]
[5,9,1,2,3,4,6,7,8,10]=>[9,1,2,3,5,4,6,7,8,10]
[5,8,1,2,3,4,6,7,9,10]=>[8,1,2,3,5,4,6,7,9,10]
[5,7,1,2,3,4,6,8,9,10]=>[7,1,2,3,5,4,6,8,9,10]
[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]
[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]
[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]
[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]
[3,4,1,6,2,5,8,7,10,9]=>[4,6,3,1,2,5,8,7,10,9]
[10,8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,10,7,9]
[10,8,6,2,1,4,3,5,7,9]=>[2,6,4,1,3,8,5,10,7,9]
[10,8,4,2,1,6,3,5,7,9]=>[2,4,8,6,1,3,5,10,7,9]
[10,6,4,2,1,8,3,5,7,9]=>[2,4,6,10,3,8,5,1,7,9]
[8,6,4,2,1,10,3,5,7,9]=>[2,4,6,8,3,10,5,1,7,9]
[8,6,4,2,9,1,3,5,7,10]=>[9,4,1,6,3,8,5,2,7,10]
[9,6,4,2,7,1,3,5,8,10]=>[7,4,1,6,3,9,2,5,8,10]
[9,7,4,2,5,1,3,6,8,10]=>[5,4,1,7,2,3,9,6,8,10]
[9,7,5,2,3,1,4,6,8,10]=>[3,5,2,1,7,4,9,6,8,10]
[9,7,5,3,1,2,4,6,8,10]=>[3,1,5,2,7,4,9,6,8,10]
[1,2,10,3,4,5,6,7,9,8]=>[1,2,10,3,4,5,6,9,7,8]
[1,2,3,9,4,5,6,10,7,8]=>[1,2,3,9,4,5,10,7,6,8]
[1,2,3,4,10,5,6,7,9,8]=>[1,2,3,4,10,5,6,9,7,8]
[1,2,3,4,5,10,6,7,9,8]=>[1,2,3,4,5,10,6,9,7,8]
[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,10,7,9,8]
[8,1,2,3,4,5,9,6,10,7]=>[8,1,2,3,4,9,10,5,6,7]
[7,10,1,2,3,4,5,9,6,8]=>[10,1,2,3,4,9,7,6,5,8]
[6,1,10,2,3,4,5,9,7,8]=>[6,10,2,3,4,1,9,7,5,8]
[5,1,2,3,4,6,9,7,10,8]=>[5,1,2,3,4,6,9,10,7,8]
[4,1,2,3,10,5,6,9,7,8]=>[4,1,2,3,10,5,9,7,6,8]
[3,1,2,4,5,10,6,9,7,8]=>[3,1,2,4,5,10,9,7,6,8]
[9,8,7,6,1,5,4,3,2,10]=>[6,3,4,5,1,7,8,9,2,10]
[8,10,9,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,9,8,10,2]
[9,1,2,3,4,5,7,10,6,8]=>[9,1,2,3,4,10,5,6,7,8]
[9,1,2,3,5,7,10,4,6,8]=>[9,1,2,10,3,4,5,6,7,8]
[9,1,3,5,7,10,2,4,6,8]=>[9,10,1,2,3,4,5,6,7,8]
[7,8,9,6,5,4,3,2,1,10]=>[2,3,4,5,6,9,7,8,1,10]
[7,6,8,9,5,4,3,2,1,10]=>[2,3,4,5,9,7,6,8,1,10]
[7,6,5,8,9,4,3,2,1,10]=>[2,3,4,9,6,7,5,8,1,10]
[7,6,5,4,8,9,3,2,1,10]=>[2,3,9,5,6,7,4,8,1,10]
[7,6,5,4,3,8,9,2,1,10]=>[2,9,4,5,6,7,3,8,1,10]
[7,6,5,4,3,2,8,9,1,10]=>[9,3,4,5,6,7,2,8,1,10]
[9,8,7,6,5,4,2,1,3,10]=>[2,4,1,5,6,7,8,9,3,10]
[9,8,7,6,5,3,2,1,4,10]=>[2,3,5,1,6,7,8,9,4,10]
[9,8,7,6,4,3,2,1,5,10]=>[2,3,4,6,1,7,8,9,5,10]
[9,8,7,5,4,3,2,1,6,10]=>[2,3,4,5,7,1,8,9,6,10]
[9,8,6,5,4,3,2,1,7,10]=>[2,3,4,5,6,8,1,9,7,10]
[7,8,9,6,5,4,3,2,10,1]=>[10,3,4,5,6,9,7,8,2,1]
[2,8,9,10,7,6,5,4,3,1]=>[3,2,4,5,6,7,10,8,9,1]
[10,1,3,4,5,6,7,8,9,2]=>[10,9,1,3,4,5,6,7,8,2]
[1,9,3,4,5,6,7,10,2,8]=>[1,10,9,3,4,5,6,2,7,8]
[9,2,3,4,5,6,1,10,8,7]=>[6,9,2,3,4,5,8,10,1,7]
[9,1,10,4,5,6,7,8,3,2]=>[9,3,8,10,4,5,6,7,1,2]
[8,10,3,4,5,6,7,1,9,2]=>[7,9,10,3,4,5,6,8,1,2]
[10,6,1,2,3,4,9,5,7,8]=>[6,1,2,3,10,9,4,7,5,8]
[10,7,1,2,3,4,9,5,6,8]=>[7,1,2,3,10,4,9,6,5,8]
[9,10,1,2,3,4,8,5,6,7]=>[10,1,2,3,8,5,6,4,9,7]
[10,1,5,2,3,4,6,7,8,9]=>[10,5,2,3,1,4,6,7,8,9]
[10,1,2,5,3,4,6,7,8,9]=>[10,1,5,3,2,4,6,7,8,9]
[5,1,2,3,10,4,6,7,8,9]=>[5,1,2,10,3,4,6,7,8,9]
[7,6,1,2,3,4,10,9,5,8]=>[6,1,2,3,7,9,5,4,10,8]
[9,7,1,2,3,4,8,5,10,6]=>[7,1,2,3,9,8,10,5,6,4]
[5,9,1,2,3,4,6,7,10,8]=>[9,1,2,3,5,4,6,10,7,8]
[10,8,4,9,1,2,3,5,6,7]=>[9,1,2,8,3,5,6,10,4,7]
[2,10,1,5,3,4,6,7,8,9]=>[10,2,5,3,1,4,6,7,8,9]
[3,1,5,2,10,4,6,7,8,9]=>[3,5,1,10,2,4,6,7,8,9]
[4,1,2,10,3,5,6,7,8,9]=>[4,1,10,2,3,5,6,7,8,9]
[2,3,4,5,6,9,1,10,7,8]=>[9,2,3,4,5,6,10,7,1,8]
[2,3,4,5,8,1,9,10,6,7]=>[8,2,3,4,5,10,6,1,9,7]
[2,3,6,1,7,8,9,10,4,5]=>[6,2,3,10,4,1,7,8,9,5]
[2,5,1,6,7,8,9,10,3,4]=>[5,2,10,3,1,6,7,8,9,4]
[9,10,1,8,7,6,5,4,3,2]=>[10,3,4,5,6,7,8,1,9,2]
[10,9,1,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,1,10,2]
[8,10,9,1,7,6,5,4,3,2]=>[9,3,4,5,6,7,1,8,10,2]
[10,8,9,1,7,6,5,4,3,2]=>[9,3,4,5,6,7,1,10,8,2]
[10,9,8,1,7,6,5,4,3,2]=>[8,3,4,5,6,7,1,9,10,2]
[7,10,9,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,7,9,10,2]
[10,7,9,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,9,10,2,7]
[9,10,7,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,10,7,9,2]
[10,9,7,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,9,7,10,2]
[10,9,8,7,1,6,5,4,3,2]=>[7,3,4,5,6,1,8,9,10,2]
[10,6,9,8,7,1,5,4,3,2]=>[7,3,4,5,1,8,9,10,6,2]
[9,10,6,8,7,1,5,4,3,2]=>[7,3,4,5,1,8,10,2,9,6]
[10,9,6,8,7,1,5,4,3,2]=>[7,3,4,5,1,8,9,2,10,6]
[10,8,9,6,7,1,5,4,3,2]=>[7,3,4,5,1,9,6,10,8,2]
[10,9,8,6,7,1,5,4,3,2]=>[7,3,4,5,1,8,6,9,10,2]
[10,9,8,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,8,9,10,2]
[9,10,5,8,7,6,1,4,3,2]=>[6,3,4,1,7,8,10,5,9,2]
[10,9,5,8,7,6,1,4,3,2]=>[6,3,4,1,7,8,9,5,10,2]
[8,10,9,5,7,6,1,4,3,2]=>[6,3,4,1,7,9,2,8,10,5]
[10,8,9,5,7,6,1,4,3,2]=>[6,3,4,1,7,9,2,10,8,5]
[10,9,8,5,7,6,1,4,3,2]=>[6,3,4,1,7,8,2,9,10,5]
[9,10,7,8,5,6,1,4,3,2]=>[6,3,4,1,8,5,10,7,9,2]
[10,9,7,8,5,6,1,4,3,2]=>[6,3,4,1,8,5,9,7,10,2]
[10,9,8,7,5,6,1,4,3,2]=>[6,3,4,1,7,5,8,9,10,2]
[10,9,8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,9,10,2]
[10,7,9,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,9,10,4,7]
[9,10,7,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,10,7,9,4]
[10,9,7,8,4,6,5,1,3,2]=>[5,3,1,6,8,2,9,7,10,4]
[10,9,8,7,4,6,5,1,3,2]=>[5,3,1,6,7,2,8,9,10,4]
[10,9,8,6,7,4,5,1,3,2]=>[5,3,1,7,4,8,6,9,10,2]
[10,9,8,7,6,4,5,1,3,2]=>[5,3,1,6,4,7,8,9,10,2]
[10,9,8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,9,10,2]
[3,2,5,4,7,6,9,8,1,10]=>[8,3,2,5,4,7,6,9,1,10]
[3,5,2,4,7,6,9,8,1,10]=>[8,5,3,2,4,7,6,9,1,10]
[3,5,2,7,4,6,9,8,1,10]=>[8,5,3,7,2,4,6,9,1,10]
[3,5,2,7,4,9,6,8,1,10]=>[8,5,3,7,2,9,4,6,1,10]
[3,5,2,7,4,9,6,1,10,8]=>[6,5,3,9,2,7,1,10,4,8]
[3,5,2,7,4,8,6,10,9,1]=>[9,5,3,7,2,8,4,6,10,1]
[3,5,2,6,4,8,7,10,9,1]=>[9,5,3,6,2,4,8,7,10,1]
[3,4,2,6,5,8,7,10,9,1]=>[9,4,3,2,6,5,8,7,10,1]
[2,4,3,6,5,8,7,10,9,1]=>[9,2,4,3,6,5,8,7,10,1]
[3,4,5,6,7,8,9,2,10,1]=>[10,9,3,4,5,6,7,8,2,1]
[2,4,5,6,7,8,9,10,3,1]=>[3,2,10,4,5,6,7,8,9,1]
[9,8,7,4,5,6,3,2,10,1]=>[10,3,6,7,4,5,8,9,2,1]
[2,10,9,8,5,6,7,4,3,1]=>[3,2,4,7,8,5,6,9,10,1]
[3,2,5,4,7,6,1,10,8,9]=>[6,3,2,5,4,7,1,10,8,9]
[3,2,5,4,9,8,6,7,1,10]=>[7,3,2,5,4,8,6,9,1,10]
[3,2,5,4,1,8,6,10,7,9]=>[4,3,2,5,1,8,10,6,7,9]
[3,2,5,4,1,10,9,6,7,8]=>[4,3,2,5,1,9,6,7,10,8]
[3,2,7,6,4,5,9,8,1,10]=>[8,3,2,6,4,7,5,9,1,10]
[3,2,7,6,4,5,1,10,8,9]=>[5,3,2,6,4,7,1,10,8,9]
[3,2,9,6,4,8,5,7,1,10]=>[7,3,2,6,9,8,4,5,1,10]
[3,2,1,6,4,8,5,10,7,9]=>[2,3,1,6,8,4,10,5,7,9]
[3,2,1,6,4,10,9,5,7,8]=>[2,3,1,6,9,4,5,7,10,8]
[3,2,9,8,7,4,5,6,1,10]=>[6,3,2,7,4,5,8,9,1,10]
[3,2,1,8,7,4,5,10,6,9]=>[2,3,1,7,4,8,10,6,5,9]
[3,2,1,10,7,4,9,5,6,8]=>[2,3,1,7,10,4,9,6,5,8]
[3,2,1,10,9,8,4,5,6,7]=>[2,3,1,8,4,5,6,9,10,7]
[5,4,2,3,7,6,9,8,1,10]=>[8,4,2,5,3,7,6,9,1,10]
[5,4,2,3,7,6,1,10,8,9]=>[6,4,2,5,3,7,1,10,8,9]
[5,4,2,3,9,8,6,7,1,10]=>[7,4,2,5,3,8,6,9,1,10]
[5,4,2,3,1,8,6,10,7,9]=>[3,4,2,5,1,8,10,6,7,9]
[5,4,2,3,1,10,9,6,7,8]=>[3,4,2,5,1,9,6,7,10,8]
[7,4,2,6,3,5,9,8,1,10]=>[8,4,7,6,2,3,5,9,1,10]
[7,4,2,6,3,5,1,10,8,9]=>[5,4,7,6,2,3,1,10,8,9]
[9,4,2,6,3,8,5,7,1,10]=>[7,4,9,6,8,3,5,2,1,10]
[1,4,2,6,3,8,5,10,7,9]=>[1,4,6,2,8,3,10,5,7,9]
[1,4,2,6,3,10,9,5,7,8]=>[1,4,6,2,9,3,5,7,10,8]
[9,4,2,8,7,3,5,6,1,10]=>[6,4,9,7,2,5,8,3,1,10]
[1,4,2,8,7,3,5,10,6,9]=>[1,4,7,2,3,8,10,6,5,9]
[1,4,2,10,7,3,9,5,6,8]=>[1,4,7,2,10,3,9,6,5,8]
[1,4,2,10,9,8,3,5,6,7]=>[1,4,8,2,3,5,6,9,10,7]
[7,6,5,2,3,4,9,8,1,10]=>[8,5,2,3,6,7,4,9,1,10]
[7,6,5,2,3,4,1,10,8,9]=>[4,5,2,3,6,7,1,10,8,9]
[9,6,5,2,3,8,4,7,1,10]=>[7,5,2,6,9,8,4,3,1,10]
[1,6,5,2,3,8,4,10,7,9]=>[1,5,2,6,8,4,10,3,7,9]
[1,6,5,2,3,10,9,4,7,8]=>[1,5,2,6,9,4,3,7,10,8]
[9,8,5,2,7,3,4,6,1,10]=>[6,5,8,2,7,4,3,9,1,10]
[1,8,5,2,7,3,4,10,6,9]=>[1,5,8,2,7,10,3,4,6,9]
[1,10,5,2,7,3,9,4,6,8]=>[1,5,10,7,9,2,3,6,4,8]
[1,10,5,2,9,8,3,4,6,7]=>[1,5,10,2,8,4,6,9,3,7]
[9,8,7,6,2,3,4,5,1,10]=>[5,6,2,3,4,7,8,9,1,10]
[1,8,7,6,2,3,4,10,5,9]=>[1,6,2,3,7,8,10,4,5,9]
[1,10,7,6,2,3,9,4,5,8]=>[1,6,2,7,4,10,9,5,3,8]
[1,10,9,6,2,8,3,4,5,7]=>[1,6,9,2,4,8,5,3,10,7]
[1,10,9,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,9,10,6]
[1,3,10,4,6,9,7,8,5,2]=>[1,5,3,8,10,2,9,7,6,4]
[1,3,10,4,8,6,7,9,5,2]=>[1,5,3,9,10,8,6,2,7,4]
[1,3,10,5,6,4,8,9,7,2]=>[1,7,3,6,9,2,10,4,8,5]
[1,3,10,5,8,6,7,4,9,2]=>[1,9,3,7,10,8,6,5,4,2]
[1,3,10,7,5,6,8,4,9,2]=>[1,9,3,8,7,5,10,6,4,2]
[1,5,3,4,10,6,8,9,7,2]=>[1,7,5,3,4,9,10,2,8,6]
[1,5,3,4,10,7,8,6,9,2]=>[1,9,5,3,4,8,10,7,6,2]
[1,7,3,5,6,4,10,8,9,2]=>[1,9,7,6,3,5,4,10,8,2]
[1,7,4,5,3,6,10,8,9,2]=>[1,9,5,7,4,3,6,10,8,2]
[1,9,3,5,8,6,7,4,10,2]=>[1,10,9,7,3,8,6,5,4,2]
[1,9,3,7,5,6,8,4,10,2]=>[1,10,9,8,7,5,3,6,4,2]
[1,9,4,5,3,7,8,6,10,2]=>[1,10,5,9,4,8,3,7,6,2]
[1,9,4,7,5,6,3,8,10,2]=>[1,10,6,9,7,5,4,3,8,2]
[1,9,6,4,5,7,3,8,10,2]=>[1,10,7,6,4,9,5,3,8,2]
[2,3,1,5,10,6,8,9,7,4]=>[3,2,1,7,5,9,10,4,8,6]
[2,3,1,5,10,7,8,6,9,4]=>[3,2,1,9,5,8,10,7,6,4]
[2,3,1,7,5,6,10,8,9,4]=>[3,2,1,9,7,5,6,10,8,4]
[2,3,1,9,5,7,8,6,10,4]=>[3,2,1,10,9,8,5,7,6,4]
[2,3,1,9,6,7,5,8,10,4]=>[3,2,1,10,7,9,6,5,8,4]
[2,5,3,4,1,7,10,8,9,6]=>[4,2,5,3,1,9,7,10,8,6]
[2,5,3,4,1,9,7,8,10,6]=>[4,2,5,3,1,10,9,7,8,6]
[4,2,3,5,1,7,10,8,9,6]=>[5,4,2,3,1,9,7,10,8,6]
[4,2,3,5,1,9,7,8,10,6]=>[5,4,2,3,1,10,9,7,8,6]
[2,7,3,5,6,4,1,9,10,8]=>[4,2,6,7,1,5,3,10,9,8]
[2,7,4,5,3,6,1,9,10,8]=>[6,2,5,7,4,3,1,10,9,8]
[4,2,3,7,5,6,1,9,10,8]=>[6,4,2,3,7,5,1,10,9,8]
[6,2,4,5,3,7,1,9,10,8]=>[7,6,5,2,4,3,1,10,9,8]
[6,3,4,2,5,7,1,9,10,8]=>[7,4,6,3,2,5,1,10,9,8]
[2,9,3,5,8,6,7,4,1,10]=>[4,2,7,9,1,8,6,5,3,10]
[2,9,3,7,5,6,8,4,1,10]=>[4,2,8,9,7,5,1,6,3,10]
[2,9,4,5,3,7,8,6,1,10]=>[6,2,5,8,1,9,3,7,4,10]
[2,9,4,7,5,6,3,8,1,10]=>[8,2,6,9,7,5,4,3,1,10]
[2,9,6,4,5,7,3,8,1,10]=>[8,2,7,6,4,9,5,3,1,10]
[4,2,3,9,5,7,8,6,1,10]=>[6,4,2,3,8,9,1,7,5,10]
[4,2,3,9,6,7,5,8,1,10]=>[8,4,2,3,7,9,6,5,1,10]
[6,2,4,5,3,9,7,8,1,10]=>[8,6,5,2,4,3,9,7,1,10]
[6,3,4,2,5,9,7,8,1,10]=>[8,4,6,3,2,5,9,7,1,10]
[8,2,4,7,5,6,3,9,1,10]=>[9,8,6,2,7,5,4,3,1,10]
[8,2,6,4,5,7,3,9,1,10]=>[9,8,7,6,4,2,5,3,1,10]
[8,3,4,2,6,7,5,9,1,10]=>[9,4,8,3,7,2,6,5,1,10]
[8,3,6,4,5,2,7,9,1,10]=>[9,5,8,6,4,3,2,7,1,10]
[8,5,3,4,6,2,7,9,1,10]=>[9,6,5,3,8,4,2,7,1,10]
[5,4,2,1,3,6,7,8,9,10]=>[2,4,1,5,3,6,7,8,9,10]
[7,5,2,1,3,6,4,8,9,10]=>[2,5,1,7,6,4,3,8,9,10]
[6,3,5,2,1,4,7,8,9,10]=>[2,5,6,1,3,4,7,8,9,10]
[9,6,2,1,3,4,7,8,5,10]=>[2,6,1,3,9,8,5,7,4,10]
[8,1,7,3,4,6,2,5,9,10]=>[8,6,7,3,2,4,1,5,9,10]
[8,3,6,2,1,4,7,5,9,10]=>[2,6,8,1,7,3,4,5,9,10]
[5,7,2,6,4,1,3,8,9,10]=>[4,6,2,7,5,1,3,8,9,10]
[7,3,4,6,2,1,5,8,9,10]=>[2,6,7,3,1,4,5,8,9,10]
[10,1,8,3,4,2,7,5,9,6]=>[10,4,8,3,7,9,2,1,5,6]
[10,3,7,2,1,4,5,8,9,6]=>[2,7,10,1,4,9,3,5,8,6]
[9,8,2,7,4,1,5,3,6,10]=>[4,7,8,5,2,1,3,9,6,10]
[9,3,4,7,2,1,5,8,6,10]=>[2,7,9,3,1,8,4,5,6,10]
[6,8,5,3,7,2,1,4,9,10]=>[2,7,5,1,8,6,3,4,9,10]
[8,3,4,5,7,2,1,6,9,10]=>[2,7,8,3,4,1,5,6,9,10]
[7,10,2,1,8,5,3,6,9,4]=>[2,10,5,8,9,4,7,1,6,3]
[10,1,6,3,9,5,4,8,2,7]=>[10,8,6,5,9,1,2,4,3,7]
[10,9,5,3,8,2,1,6,4,7]=>[2,8,5,9,6,1,3,4,10,7]
[10,3,4,5,8,2,1,6,9,7]=>[2,8,10,3,4,1,9,5,6,7]
[5,7,2,9,4,8,6,1,3,10]=>[6,8,2,7,5,9,4,1,3,10]
[7,9,4,6,3,8,2,1,5,10]=>[2,8,6,9,1,4,7,3,5,10]
[9,3,4,5,6,8,2,1,7,10]=>[2,8,9,3,4,5,1,6,7,10]
[6,8,10,3,7,5,9,2,1,4]=>[2,9,10,1,7,6,3,8,5,4]
[8,10,4,5,7,3,9,2,1,6]=>[2,9,7,10,4,1,5,8,3,6]
[10,3,4,5,6,7,9,2,1,8]=>[2,9,10,3,4,5,6,1,7,8]
[3,2,5,4,7,6,1,10,9,8]=>[6,3,2,5,4,7,1,9,10,8]
[3,2,5,4,9,8,7,6,1,10]=>[6,3,2,5,4,7,8,9,1,10]
[3,2,5,4,1,8,7,10,9,6]=>[4,3,2,5,1,9,8,7,10,6]
[3,2,5,4,1,10,9,8,7,6]=>[4,3,2,5,1,7,8,9,10,6]
[3,2,7,6,5,4,9,8,1,10]=>[8,3,2,5,6,7,4,9,1,10]
[3,2,7,6,5,4,1,10,9,8]=>[4,3,2,5,6,7,1,9,10,8]
[3,2,9,6,5,8,7,4,1,10]=>[4,3,2,7,6,8,9,1,5,10]
[3,2,1,6,5,8,7,10,9,4]=>[2,3,1,9,6,5,8,7,10,4]
[3,2,1,6,5,10,9,8,7,4]=>[2,3,1,7,6,5,8,9,10,4]
[3,2,1,8,7,6,5,10,9,4]=>[2,3,1,9,6,7,8,5,10,4]
[3,2,1,10,7,6,9,8,5,4]=>[2,3,1,5,8,7,9,10,4,6]
[5,4,3,2,7,6,9,8,1,10]=>[8,3,4,5,2,7,6,9,1,10]
[5,4,3,2,7,6,1,10,9,8]=>[6,3,4,5,2,7,1,9,10,8]
[5,4,3,2,9,8,7,6,1,10]=>[6,3,4,5,2,7,8,9,1,10]
[5,4,3,2,1,8,7,10,9,6]=>[2,3,4,5,1,9,8,7,10,6]
[7,4,3,6,5,2,9,8,1,10]=>[8,5,4,6,7,2,3,9,1,10]
[7,4,3,6,5,2,1,10,9,8]=>[2,5,4,6,7,1,3,9,10,8]
[9,4,3,6,5,8,7,2,1,10]=>[2,7,4,8,6,1,9,5,3,10]
[1,4,3,6,5,8,7,10,9,2]=>[1,9,4,3,6,5,8,7,10,2]
[1,4,3,6,5,10,9,8,7,2]=>[1,7,4,3,6,5,8,9,10,2]
[9,4,3,8,7,6,5,2,1,10]=>[2,5,4,6,7,8,9,1,3,10]
[1,4,3,8,7,6,5,10,9,2]=>[1,9,4,3,6,7,8,5,10,2]
[1,4,3,10,7,6,9,8,5,2]=>[1,5,4,3,8,7,9,10,2,6]
[1,4,3,10,9,8,7,6,5,2]=>[1,5,4,3,6,7,8,9,10,2]
[7,6,5,4,3,2,9,8,1,10]=>[8,3,4,5,6,7,2,9,1,10]
[9,6,5,4,3,8,7,2,1,10]=>[2,7,4,5,6,8,9,1,3,10]
[1,6,5,4,3,8,7,10,9,2]=>[1,9,4,5,6,3,8,7,10,2]
[1,6,5,4,3,10,9,8,7,2]=>[1,7,4,5,6,3,8,9,10,2]
[9,8,5,4,7,6,3,2,1,10]=>[2,3,6,5,7,8,1,9,4,10]
[1,8,5,4,7,6,3,10,9,2]=>[1,9,6,5,7,8,3,4,10,2]
[1,10,5,4,7,6,9,8,3,2]=>[1,3,8,5,9,7,2,10,6,4]
[1,10,5,4,9,8,7,6,3,2]=>[1,3,6,5,7,8,9,10,2,4]
[1,10,7,6,5,4,9,8,3,2]=>[1,3,8,5,6,7,9,10,2,4]
[1,10,9,6,5,8,7,4,3,2]=>[1,3,4,7,6,8,9,2,10,5]
[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]
[6,5,7,4,8,3,10,2,9,1]=>[9,10,8,7,6,5,4,3,2,1]
[6,5,7,4,10,3,8,2,9,1]=>[9,8,10,7,6,5,4,3,2,1]
[6,5,10,4,7,3,8,2,9,1]=>[9,8,7,10,6,5,4,3,2,1]
[10,5,6,4,7,3,8,2,9,1]=>[9,8,7,6,10,5,4,3,2,1]
[5,10,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,10,4,3,2,1]
[5,6,4,10,7,3,8,2,9,1]=>[9,8,7,6,5,4,10,3,2,1]
[5,6,4,7,3,10,8,2,9,1]=>[9,8,7,6,5,4,3,10,2,1]
[5,6,4,7,3,8,2,10,9,1]=>[9,8,7,6,5,4,3,2,10,1]
[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[8,7,6,5,4,3,1,10,2,9]=>[3,4,5,6,7,8,10,2,1,9]
[9,8,7,6,5,4,1,2,10,3]=>[4,1,5,6,7,8,9,10,3,2]
[8,7,6,5,4,2,1,10,3,9]=>[2,4,5,6,7,8,10,1,3,9]
[7,6,5,4,3,1,10,8,2,9]=>[3,4,5,6,7,8,1,10,2,9]
[9,8,7,6,5,3,1,2,10,4]=>[3,1,5,6,7,8,9,10,2,4]
[8,7,6,5,4,1,2,10,9,3]=>[4,1,5,6,7,8,9,2,10,3]
[9,8,1,2,3,4,5,6,7,10]=>[8,1,2,3,4,5,6,9,7,10]
[7,8,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,7,8,6,10]
[9,7,8,1,2,3,4,5,6,10]=>[8,1,2,3,4,5,9,7,6,10]
[9,8,7,1,2,3,4,5,6,10]=>[7,1,2,3,4,5,8,9,6,10]
[9,6,7,8,1,2,3,4,5,10]=>[8,1,2,3,4,9,6,7,5,10]
[8,9,6,7,1,2,3,4,5,10]=>[7,1,2,3,4,9,6,8,5,10]
[9,8,6,7,1,2,3,4,5,10]=>[7,1,2,3,4,8,6,9,5,10]
[9,8,7,6,1,2,3,4,5,10]=>[6,1,2,3,4,7,8,9,5,10]
[9,5,6,7,8,1,2,3,4,10]=>[8,1,2,3,9,5,6,7,4,10]
[8,9,5,6,7,1,2,3,4,10]=>[7,1,2,3,9,5,6,8,4,10]
[9,8,5,6,7,1,2,3,4,10]=>[7,1,2,3,8,5,6,9,4,10]
[9,7,8,5,6,1,2,3,4,10]=>[6,1,2,3,8,5,9,7,4,10]
[9,8,7,5,6,1,2,3,4,10]=>[6,1,2,3,7,5,8,9,4,10]
[9,8,7,6,5,1,2,3,4,10]=>[5,1,2,3,6,7,8,9,4,10]
[8,9,4,5,6,10,1,2,3,7]=>[10,1,2,9,4,5,3,8,6,7]
[9,8,4,5,6,10,1,2,3,7]=>[10,1,2,8,4,5,3,9,6,7]
[9,7,8,4,5,6,1,2,3,10]=>[6,1,2,8,4,5,9,7,3,10]
[9,8,7,4,5,6,1,2,3,10]=>[6,1,2,7,4,5,8,9,3,10]
[8,9,6,7,4,5,1,2,3,10]=>[5,1,2,7,4,9,6,8,3,10]
[9,8,6,7,4,5,1,2,3,10]=>[5,1,2,7,4,8,6,9,3,10]
[9,8,7,6,4,5,1,2,3,10]=>[5,1,2,6,4,7,8,9,3,10]
[9,8,7,6,5,4,1,2,3,10]=>[4,1,2,5,6,7,8,9,3,10]
[9,6,7,10,3,4,8,1,2,5]=>[8,1,10,3,2,9,6,4,7,5]
[8,9,6,7,3,4,10,1,2,5]=>[10,1,7,3,2,9,6,8,4,5]
[9,8,6,7,3,4,10,1,2,5]=>[10,1,7,3,2,8,6,9,4,5]
[9,8,7,6,3,4,10,1,2,5]=>[10,1,6,3,2,7,8,9,4,5]
[9,7,8,5,6,3,4,1,2,10]=>[4,1,6,3,8,5,9,7,2,10]
[9,8,7,5,6,3,4,1,2,10]=>[4,1,6,3,7,5,8,9,2,10]
[9,8,7,6,5,3,4,1,2,10]=>[4,1,5,3,6,7,8,9,2,10]
[9,8,6,10,4,7,2,5,1,3]=>[5,7,1,10,2,8,4,9,6,3]
[9,8,7,6,4,10,2,5,1,3]=>[5,10,1,6,2,7,8,9,4,3]
[9,8,7,6,5,4,2,10,1,3]=>[10,4,1,5,6,7,8,9,2,3]
[8,10,1,2,3,4,5,9,6,7]=>[10,1,2,3,4,9,6,8,5,7]
[9,10,1,2,3,8,4,5,6,7]=>[10,1,2,8,4,5,6,3,9,7]
[9,8,1,2,10,3,4,5,6,7]=>[8,1,9,2,4,5,6,10,3,7]
[10,8,1,9,2,3,4,5,6,7]=>[8,10,1,3,4,5,6,9,2,7]
[8,7,1,2,3,4,5,9,10,6]=>[7,1,2,3,4,8,10,6,9,5]
[10,6,1,2,3,4,8,9,5,7]=>[6,1,2,3,10,9,4,5,8,7]
[5,10,1,2,3,9,8,4,6,7]=>[10,1,2,8,5,4,6,9,3,7]
[9,4,1,2,10,8,3,5,6,7]=>[4,1,9,8,2,5,6,10,3,7]
[8,3,1,9,10,2,4,5,6,7]=>[3,8,10,1,4,5,6,2,9,7]
[2,10,8,9,1,3,4,5,6,7]=>[9,2,1,3,4,5,6,10,8,7]
[2,10,1,5,6,7,8,9,3,4]=>[10,2,9,3,1,5,6,7,8,4]
[2,4,1,10,6,7,8,9,3,5]=>[4,2,9,1,3,10,6,7,8,5]
[2,9,1,5,6,7,8,3,10,4]=>[9,2,8,10,1,5,6,7,3,4]
[2,4,6,9,1,10,3,5,7,8]=>[9,2,10,4,3,6,5,7,1,8]
[2,4,7,1,8,10,3,5,6,9]=>[7,2,10,4,3,5,1,8,6,9]
[2,4,7,9,1,3,10,5,6,8]=>[9,2,1,4,10,5,7,6,3,8]
[2,4,8,1,9,3,10,5,6,7]=>[8,2,9,4,10,5,6,1,3,7]
[2,5,1,6,8,10,3,4,7,9]=>[5,2,10,3,1,6,4,8,7,9]
[2,5,1,6,9,3,10,4,7,8]=>[5,2,9,10,1,6,4,7,3,8]
[2,5,7,1,3,8,10,4,6,9]=>[7,2,1,10,5,4,3,8,6,9]
[2,6,1,7,3,8,10,4,5,9]=>[6,2,7,10,4,1,3,8,5,9]
[2,5,7,9,1,3,4,10,6,8]=>[9,2,1,3,5,10,7,6,4,8]
[2,5,8,1,9,3,4,10,6,7]=>[8,2,9,3,5,10,6,1,4,7]
[2,6,1,7,9,3,4,10,5,8]=>[6,2,9,3,10,1,7,5,4,8]
[2,6,8,1,3,9,4,10,5,7]=>[8,2,1,9,10,6,5,3,4,7]
[2,7,1,8,3,9,4,10,5,6]=>[7,2,8,9,10,5,1,3,4,6]
[3,1,4,6,8,10,2,5,7,9]=>[3,10,1,4,2,6,5,8,7,9]
[3,1,4,6,9,2,10,5,7,8]=>[3,9,1,4,10,6,5,7,2,8]
[3,1,4,7,2,8,10,5,6,9]=>[3,7,1,4,10,5,2,8,6,9]
[3,1,4,7,9,2,5,10,6,8]=>[3,9,1,4,2,10,7,6,5,8]
[3,1,4,8,2,9,5,10,6,7]=>[3,8,1,4,9,10,6,2,5,7]
[3,5,1,2,6,8,10,4,7,9]=>[5,1,3,10,2,6,4,8,7,9]
[3,5,1,2,6,9,4,10,7,8]=>[5,1,3,9,2,6,10,7,4,8]
[4,1,5,2,6,8,10,3,7,9]=>[4,5,10,1,2,6,3,8,7,9]
[4,1,5,2,6,9,3,10,7,8]=>[4,5,9,1,2,6,10,7,3,8]
[3,5,7,1,2,4,8,10,6,9]=>[7,1,3,2,5,10,4,8,6,9]
[3,6,1,7,2,4,8,10,5,9]=>[6,7,3,2,10,1,4,8,5,9]
[4,1,5,7,2,3,8,10,6,9]=>[4,7,2,1,5,10,3,8,6,9]
[4,6,1,2,7,3,8,10,5,9]=>[6,1,7,4,10,2,3,8,5,9]
[5,1,6,2,7,3,8,10,4,9]=>[5,6,7,10,1,2,3,8,4,9]
[3,5,7,9,1,2,4,6,10,8]=>[9,1,3,2,5,4,7,10,6,8]
[3,5,8,1,9,2,4,6,10,7]=>[8,9,3,2,5,4,10,1,6,7]
[3,6,1,7,9,2,4,5,10,8]=>[6,9,3,2,4,1,7,10,5,8]
[3,6,8,1,2,9,4,5,10,7]=>[8,1,3,9,4,6,10,2,5,7]
[3,7,1,8,2,9,4,5,10,6]=>[7,8,3,9,4,10,1,2,5,6]
[4,1,5,7,9,2,3,6,10,8]=>[4,9,2,1,5,3,7,10,6,8]
[4,1,5,8,2,9,3,6,10,7]=>[4,8,9,1,5,3,10,2,6,7]
[4,6,1,2,7,9,3,5,10,8]=>[6,1,9,4,3,2,7,10,5,8]
[5,1,6,2,7,9,3,4,10,8]=>[5,6,9,3,1,2,7,10,4,8]
[4,6,8,1,2,3,9,5,10,7]=>[8,1,2,4,9,6,10,3,5,7]
[4,7,1,8,2,3,9,5,10,6]=>[7,8,2,4,9,10,1,3,5,6]
[5,1,6,8,2,3,9,4,10,7]=>[5,8,2,9,1,6,10,3,4,7]
[5,7,1,2,8,3,9,4,10,6]=>[7,1,8,9,5,10,2,3,4,6]
[10,9,2,3,4,5,6,7,8,1]=>[8,9,2,3,4,5,6,7,10,1]
[9,10,2,3,4,5,6,7,8,1]=>[8,10,2,3,4,5,6,7,9,1]
[10,9,8,3,4,5,6,7,2,1]=>[2,7,8,3,4,5,6,9,10,1]
[8,10,9,3,4,5,6,7,2,1]=>[2,7,9,3,4,5,6,8,10,1]
[8,9,10,3,4,5,6,7,2,1]=>[2,7,10,3,4,5,6,8,9,1]
[10,9,8,7,4,5,6,3,2,1]=>[2,3,6,7,4,5,8,9,10,1]
[7,10,9,8,4,5,6,3,2,1]=>[2,3,6,8,4,5,7,9,10,1]
[8,7,10,9,4,5,6,3,2,1]=>[2,3,6,9,4,5,8,7,10,1]
[7,8,10,9,4,5,6,3,2,1]=>[2,3,6,9,4,5,7,8,10,1]
[7,6,10,9,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,9,10,1]
[6,7,10,9,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,9,10,1]
[6,8,7,10,9,5,4,3,2,1]=>[2,3,4,5,9,6,8,7,10,1]
[6,7,8,10,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,10,1]
[6,5,10,9,7,8,4,3,2,1]=>[2,3,4,8,6,5,9,7,10,1]
[5,6,10,9,7,8,4,3,2,1]=>[2,3,4,8,5,6,9,7,10,1]
[7,6,5,10,8,9,4,3,2,1]=>[2,3,4,9,6,7,5,10,8,1]
[5,6,7,10,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,10,8,1]
[6,5,8,7,9,10,4,3,2,1]=>[2,3,4,10,6,5,8,7,9,1]
[5,6,8,7,9,10,4,3,2,1]=>[2,3,4,10,5,6,8,7,9,1]
[7,10,9,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,7,9,10,4]
[8,7,10,9,1,2,3,6,5,4]=>[9,1,2,5,6,3,8,7,10,4]
[7,8,9,10,1,2,3,6,5,4]=>[10,1,2,5,6,3,7,8,9,4]
[6,8,7,10,9,2,1,5,4,3]=>[2,9,4,5,1,6,8,7,10,3]
[6,7,8,10,9,2,1,5,4,3]=>[2,9,4,5,1,6,7,8,10,3]
[6,5,8,7,9,10,2,1,4,3]=>[2,10,4,1,6,5,8,7,9,3]
[5,6,8,7,9,10,2,1,4,3]=>[2,10,4,1,5,6,8,7,9,3]
[5,6,7,8,9,10,2,1,4,3]=>[2,10,4,1,5,6,7,8,9,3]
[2,4,3,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]
[2,4,3,6,5,1,8,7,10,9]=>[5,2,4,3,6,1,8,7,10,9]
[2,4,3,6,5,8,7,1,10,9]=>[7,2,4,3,6,5,8,1,10,9]
[2,4,3,6,5,8,7,9,1,10]=>[9,2,4,3,6,5,8,7,1,10]
[2,4,3,6,5,7,1,9,8,10]=>[7,2,4,3,6,5,1,9,8,10]
[2,4,3,5,1,7,6,9,8,10]=>[5,2,4,3,1,7,6,9,8,10]
[1,9,2,10,3,8,4,7,5,6]=>[1,9,10,8,7,5,4,3,2,6]
[1,9,2,8,3,10,4,7,5,6]=>[1,9,8,10,7,5,4,2,3,6]
[1,9,2,8,3,7,4,10,5,6]=>[1,9,8,7,10,5,3,2,4,6]
[1,9,2,8,3,7,4,6,10,5]=>[1,9,8,7,10,4,3,2,6,5]
[1,9,2,8,3,7,10,4,6,5]=>[1,9,8,10,6,4,3,2,7,5]
[1,9,2,8,10,3,7,4,6,5]=>[1,9,10,7,6,4,3,2,8,5]
[1,9,10,2,8,3,7,4,6,5]=>[1,10,8,7,6,4,3,2,9,5]
[7,8,4,9,5,2,10,6,3,1]=>[3,6,5,10,9,8,7,2,1,4]
[7,4,8,5,9,6,2,10,3,1]=>[3,10,6,9,7,8,5,1,4,2]
[7,8,4,2,9,5,3,10,6,1]=>[6,4,10,5,8,9,7,2,1,3]
[7,4,8,5,2,9,3,10,6,1]=>[6,5,10,8,9,7,1,4,2,3]
[7,4,2,8,5,3,9,6,10,1]=>[10,4,7,5,8,9,3,2,6,1]
[4,7,5,8,2,9,3,10,6,1]=>[6,10,8,4,9,7,1,3,5,2]
[4,7,5,2,8,3,9,6,10,1]=>[10,5,7,4,8,9,3,2,6,1]
[7,8,4,9,5,2,1,10,6,3]=>[2,5,9,6,10,8,7,4,3,1]
[7,4,8,5,9,6,2,1,10,3]=>[2,6,9,10,7,8,5,1,3,4]
[7,8,4,2,9,5,1,10,6,3]=>[5,4,9,8,6,10,7,2,3,1]
[7,4,8,5,2,9,1,10,6,3]=>[9,5,8,6,10,7,4,3,1,2]
[7,4,2,8,5,9,6,1,10,3]=>[6,4,9,7,10,8,2,1,3,5]
[4,7,5,8,2,9,1,10,6,3]=>[9,8,6,4,10,7,3,2,1,5]
[4,7,5,2,8,9,6,1,10,3]=>[6,5,9,4,7,10,2,8,3,1]
[7,8,4,2,1,9,5,3,10,6]=>[2,4,8,5,9,10,7,3,1,6]
[7,4,8,5,2,1,9,3,10,6]=>[2,5,8,9,7,10,1,3,4,6]
[7,4,2,8,5,1,9,3,10,6]=>[5,4,8,7,9,10,2,3,1,6]
[4,7,5,8,2,1,9,3,10,6]=>[2,8,9,4,7,10,5,1,3,6]
[4,7,5,2,8,1,9,3,10,6]=>[8,5,7,4,9,10,3,1,2,6]
[4,7,5,2,1,8,3,9,6,10]=>[2,5,7,4,8,9,3,1,6,10]
[7,2,8,4,9,5,1,10,6,3]=>[5,9,7,6,10,8,3,4,2,1]
[7,4,2,8,9,5,1,10,6,3]=>[5,4,9,7,6,10,2,8,3,1]
[2,7,4,8,5,9,6,1,10,3]=>[6,2,9,10,7,8,5,1,3,4]
[4,7,2,8,9,5,1,10,6,3]=>[5,9,7,4,6,10,3,8,2,1]
[4,2,7,8,5,9,6,1,10,3]=>[6,4,9,2,10,8,7,1,3,5]
[7,2,8,4,1,9,5,3,10,6]=>[4,8,7,5,9,10,3,2,1,6]
[7,4,2,8,1,9,5,3,10,6]=>[8,4,7,5,9,10,3,1,2,6]
[2,7,4,8,5,1,9,3,10,6]=>[5,2,8,9,7,10,1,3,4,6]
[2,7,4,1,8,5,3,9,6,10]=>[4,2,7,5,8,9,3,1,6,10]
[4,7,2,8,1,9,5,3,10,6]=>[8,7,5,4,9,10,2,1,3,6]
[4,2,7,8,5,1,9,3,10,6]=>[5,4,8,2,9,10,7,3,1,6]
[4,2,7,1,8,5,3,9,6,10]=>[7,4,5,2,8,9,1,3,6,10]
[2,4,7,5,8,1,9,3,10,6]=>[8,2,9,4,7,10,5,1,3,6]
[2,4,7,5,1,8,3,9,6,10]=>[5,2,7,4,8,9,3,1,6,10]
[7,8,2,9,4,5,1,10,6,3]=>[5,8,6,10,3,9,7,2,1,4]
[7,2,8,4,5,9,6,1,10,3]=>[6,9,7,10,1,8,3,5,2,4]
[7,8,2,9,4,1,5,3,10,6]=>[4,9,8,5,2,10,7,3,1,6]
[7,2,8,4,5,1,9,3,10,6]=>[5,7,9,8,4,10,2,1,3,6]
[7,2,8,4,1,5,3,9,6,10]=>[4,8,7,5,2,9,3,1,6,10]
[2,7,4,5,8,1,9,3,10,6]=>[8,2,9,7,4,10,5,1,3,6]
[2,7,4,5,1,8,3,9,6,10]=>[5,2,8,7,4,9,1,3,6,10]
[1,10,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,10,8]
[1,2,10,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,10,8]
[1,8,10,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,10,7]
[1,3,10,4,5,6,7,8,9,2]=>[1,9,3,10,4,5,6,7,8,2]
[1,9,10,3,4,5,6,7,8,2]=>[1,8,10,3,4,5,6,7,9,2]
[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,9,8,10,7]
[2,1,4,3,6,8,7,5,10,9]=>[2,1,4,3,7,6,8,5,10,9]
[2,1,4,3,8,10,7,9,5,6]=>[2,1,4,3,9,5,10,8,7,6]
[2,1,4,3,6,7,10,8,9,5]=>[2,1,4,3,9,6,7,10,8,5]
[2,1,4,6,5,3,8,7,10,9]=>[2,1,5,4,6,3,8,7,10,9]
[2,1,4,6,5,3,8,10,9,7]=>[2,1,5,4,6,3,9,8,10,7]
[2,1,6,8,5,7,3,4,10,9]=>[2,1,7,3,8,6,5,4,10,9]
[2,1,8,7,5,10,4,9,3,6]=>[2,1,9,10,7,3,8,5,4,6]
[2,1,6,7,5,10,8,4,9,3]=>[2,1,9,8,7,6,5,10,4,3]
[2,1,4,5,8,6,7,3,10,9]=>[2,1,7,4,5,8,6,3,10,9]
[2,1,8,5,10,6,7,9,3,4]=>[2,1,9,3,8,10,6,5,7,4]
[2,1,4,7,10,6,9,8,3,5]=>[2,1,8,4,3,9,7,10,5,6]
[2,1,4,5,6,10,7,8,9,3]=>[2,1,9,4,5,6,10,7,8,3]
[2,4,3,1,6,5,8,10,9,7]=>[3,2,4,1,6,5,9,8,10,7]
[2,4,3,1,6,8,7,5,10,9]=>[3,2,4,1,7,6,8,5,10,9]
[2,4,3,1,8,10,7,9,5,6]=>[3,2,4,1,9,5,10,8,7,6]
[2,4,3,1,6,7,10,8,9,5]=>[3,2,4,1,9,6,7,10,8,5]
[4,6,3,5,1,2,8,7,10,9]=>[5,1,6,4,3,2,8,7,10,9]
[4,6,3,5,1,2,8,10,9,7]=>[5,1,6,4,3,2,9,8,10,7]
[6,5,3,8,2,7,1,4,10,9]=>[7,8,5,1,6,3,2,4,10,9]
[8,5,3,7,2,10,4,9,1,6]=>[9,7,5,8,10,1,4,2,3,6]
[6,5,3,7,2,10,8,4,9,1]=>[9,7,5,6,8,4,2,10,3,1]
[4,5,3,8,6,2,7,1,10,9]=>[7,6,5,4,3,8,2,1,10,9]
[8,6,3,5,10,2,7,9,1,4]=>[9,10,6,1,3,8,2,5,7,4]
[4,7,3,6,10,1,9,8,2,5]=>[10,8,7,4,2,3,6,9,1,5]
[4,5,3,6,10,7,1,8,9,2]=>[7,10,5,4,3,6,9,2,8,1]
[2,3,6,4,5,1,8,7,10,9]=>[5,2,3,6,4,1,8,7,10,9]
[2,3,6,4,5,1,8,10,9,7]=>[5,2,3,6,4,1,9,8,10,7]
[6,3,8,4,5,7,1,2,10,9]=>[7,1,6,8,4,3,5,2,10,9]
[8,3,7,4,5,10,2,9,1,6]=>[9,10,8,7,4,1,3,5,2,6]
[6,3,7,4,5,10,8,2,9,1]=>[9,8,6,7,4,3,5,10,2,1]
[2,5,8,4,7,6,1,3,10,9]=>[6,2,1,7,5,8,3,4,10,9]
[8,5,10,4,7,6,2,9,1,3]=>[9,6,1,7,10,8,5,2,4,3]
[2,7,10,4,8,6,9,5,1,3]=>[5,2,1,9,10,8,7,3,6,4]
[2,5,6,4,10,8,7,3,9,1]=>[9,2,7,6,5,4,8,10,3,1]
[2,3,4,8,5,6,7,1,10,9]=>[7,2,3,4,8,5,6,1,10,9]
[8,3,4,10,5,6,7,9,1,2]=>[9,1,8,3,10,5,6,4,7,2]
[2,7,4,10,5,6,9,8,1,3]=>[8,2,1,7,9,3,4,10,6,5]
[2,3,6,10,5,9,7,8,1,4]=>[8,2,3,1,10,6,9,7,5,4]
[2,3,4,5,10,6,7,8,9,1]=>[9,2,3,4,5,10,6,7,8,1]
[2,3,4,5,6,1,8,9,10,7]=>[6,2,3,4,5,1,10,8,9,7]
[2,3,4,5,6,8,9,1,10,7]=>[9,2,3,4,5,6,10,8,1,7]
[4,5,6,1,7,8,9,10,2,3]=>[6,10,2,4,5,1,7,8,9,3]
[3,5,6,1,7,8,9,10,2,4]=>[6,10,3,2,5,1,7,8,9,4]
[3,4,6,1,7,8,9,10,2,5]=>[6,10,3,4,2,1,7,8,9,5]
[3,4,5,1,7,8,9,10,2,6]=>[5,10,3,4,1,2,7,8,9,6]
[2,1,4,3,6,5,8,9,10,7]=>[2,1,4,3,6,5,10,8,9,7]
[2,1,4,3,6,7,8,5,10,9]=>[2,1,4,3,8,6,7,5,10,9]
[2,1,4,3,8,7,9,10,5,6]=>[2,1,4,3,10,5,8,7,9,6]
[2,1,4,3,6,7,8,9,10,5]=>[2,1,4,3,10,6,7,8,9,5]
[2,1,4,5,6,3,8,7,10,9]=>[2,1,6,4,5,3,8,7,10,9]
[2,1,4,5,6,3,8,9,10,7]=>[2,1,6,4,5,3,10,8,9,7]
[2,1,6,5,7,8,3,4,10,9]=>[2,1,8,3,6,5,7,4,10,9]
[2,1,8,5,9,7,3,10,6,4]=>[2,1,7,6,9,10,8,3,5,4]
[2,1,6,5,7,8,9,10,3,4]=>[2,1,10,3,6,5,7,8,9,4]
[2,1,4,5,6,7,8,3,10,9]=>[2,1,8,4,5,6,7,3,10,9]
[2,1,8,5,6,7,9,10,3,4]=>[2,1,10,3,8,5,6,7,9,4]
[2,1,4,7,6,8,9,3,10,5]=>[2,1,9,4,10,7,6,8,3,5]
[2,1,4,5,6,7,8,9,10,3]=>[2,1,10,4,5,6,7,8,9,3]
[2,3,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9]
[2,3,4,1,6,5,8,9,10,7]=>[4,2,3,1,6,5,10,8,9,7]
[2,3,4,1,6,7,8,5,10,9]=>[4,2,3,1,8,6,7,5,10,9]
[2,3,4,1,8,7,9,10,5,6]=>[4,2,3,1,10,5,8,7,9,6]
[2,3,4,1,6,7,8,9,10,5]=>[4,2,3,1,10,6,7,8,9,5]
[4,3,5,6,1,2,8,7,10,9]=>[6,1,4,3,5,2,8,7,10,9]
[4,3,5,6,1,2,8,9,10,7]=>[6,1,4,3,5,2,10,8,9,7]
[6,3,7,5,1,8,4,2,10,9]=>[5,4,7,8,6,1,3,2,10,9]
[8,3,9,5,1,7,4,10,6,2]=>[5,9,6,10,8,7,2,1,3,4]
[6,3,7,5,1,8,9,10,4,2]=>[5,4,7,10,6,1,3,8,9,2]
[4,3,5,6,7,8,1,2,10,9]=>[8,1,4,3,5,6,7,2,10,9]
[8,3,9,5,6,7,1,10,4,2]=>[7,4,10,8,9,5,6,2,1,3]
[4,3,7,8,6,10,9,2,5,1]=>[5,9,4,3,2,8,7,6,10,1]
[4,3,5,6,7,8,9,10,1,2]=>[10,1,4,3,5,6,7,8,9,2]
[2,3,4,5,6,1,8,7,10,9]=>[6,2,3,4,5,1,8,7,10,9]
[6,3,4,5,7,8,1,2,10,9]=>[8,1,6,3,4,5,7,2,10,9]
[8,3,4,5,9,7,1,10,6,2]=>[7,6,9,1,4,10,8,5,3,2]
[6,3,4,5,7,8,9,10,1,2]=>[10,1,6,3,4,5,7,8,9,2]
[2,5,4,6,7,1,8,3,10,9]=>[7,2,8,5,4,6,1,3,10,9]
[8,5,4,6,7,1,9,10,3,2]=>[7,3,10,5,8,4,6,1,9,2]
[2,7,4,8,6,1,9,5,10,3]=>[6,2,8,10,7,9,5,3,1,4]
[2,5,4,6,7,8,9,1,10,3]=>[9,2,10,5,4,6,7,8,1,3]
[2,3,4,5,6,7,8,1,10,9]=>[8,2,3,4,5,6,7,1,10,9]
[8,3,4,5,6,7,9,10,1,2]=>[10,1,8,3,4,5,6,7,9,2]
[2,7,4,5,6,8,9,1,10,3]=>[9,2,10,7,4,5,6,8,1,3]
[2,3,6,5,7,8,1,9,10,4]=>[8,2,3,10,6,5,7,1,9,4]
[1,8,2,3,4,5,6,7,10,9]=>[1,8,2,3,4,5,6,7,10,9]
[1,3,4,5,6,7,8,2,10,9]=>[1,8,3,4,5,6,7,2,10,9]
[4,5,2,3,6,7,8,9,10,1]=>[10,5,2,4,3,6,7,8,9,1]
[4,3,2,5,6,7,8,9,10,1]=>[10,3,4,2,5,6,7,8,9,1]
[5,6,7,2,3,4,8,9,10,1]=>[10,7,2,3,5,6,4,8,9,1]
[5,3,6,2,4,7,8,9,10,1]=>[10,6,5,2,3,4,7,8,9,1]
[5,4,3,2,6,7,8,9,10,1]=>[10,3,4,5,2,6,7,8,9,1]
[6,7,8,9,2,3,4,5,10,1]=>[10,9,2,3,4,6,7,8,5,1]
[6,3,7,8,2,4,5,9,10,1]=>[10,8,6,2,4,3,7,5,9,1]
[6,7,4,5,2,3,8,9,10,1]=>[10,5,2,7,4,6,3,8,9,1]
[6,4,3,7,2,5,8,9,10,1]=>[10,7,4,6,2,3,5,8,9,1]
[6,5,4,3,2,7,8,9,10,1]=>[10,3,4,5,6,2,7,8,9,1]
[7,8,9,10,1,3,4,5,6,2]=>[10,6,1,3,4,5,7,8,9,2]
[7,3,8,9,10,2,4,5,6,1]=>[6,10,7,2,4,5,3,8,9,1]
[7,4,3,8,9,2,5,6,10,1]=>[10,9,4,7,2,5,3,8,6,1]
[7,5,8,3,6,2,4,9,10,1]=>[10,6,8,2,7,3,5,4,9,1]
[7,5,4,3,8,2,6,9,10,1]=>[10,8,4,5,7,2,3,6,9,1]
[7,6,5,4,3,2,8,9,10,1]=>[10,3,4,5,6,7,2,8,9,1]
[8,9,4,5,10,1,3,6,7,2]=>[10,7,1,9,4,3,6,8,5,2]
[8,4,3,9,10,1,5,6,7,2]=>[10,7,4,8,1,5,6,3,9,2]
[8,5,9,3,6,10,2,4,7,1]=>[7,10,9,2,8,3,4,5,6,1]
[8,5,4,3,9,10,2,6,7,1]=>[7,10,4,5,8,2,6,3,9,1]
[8,9,6,7,4,5,2,3,10,1]=>[10,5,2,7,4,9,6,8,3,1]
[8,6,4,9,3,7,2,5,10,1]=>[10,7,9,6,2,8,3,4,5,1]
[8,6,5,4,3,9,2,7,10,1]=>[10,9,4,5,6,8,2,3,7,1]
[8,7,6,5,4,3,2,9,10,1]=>[10,3,4,5,6,7,8,2,9,1]
[9,6,10,1,4,8,2,5,7,3]=>[10,8,7,1,2,9,5,4,6,3]
[9,10,6,7,4,5,1,3,8,2]=>[5,8,1,7,4,10,6,3,9,2]
[9,6,4,10,3,7,1,5,8,2]=>[7,8,10,6,1,9,3,5,4,2]
[9,6,5,4,3,10,1,7,8,2]=>[10,8,4,5,6,9,1,7,3,2]
[9,7,5,4,10,3,8,2,6,1]=>[6,8,10,5,7,2,9,3,4,1]
[9,7,6,5,4,3,10,2,8,1]=>[8,10,4,5,6,7,9,2,3,1]
[10,1,9,2,8,3,7,4,6,5]=>[10,9,8,7,6,4,3,2,1,5]
[10,8,6,1,5,2,7,3,9,4]=>[6,5,8,7,1,10,2,9,4,3]
[10,8,6,5,4,1,7,2,9,3]=>[4,5,6,8,7,10,3,9,2,1]
[10,8,7,6,5,4,3,1,9,2]=>[3,4,5,6,7,8,10,9,1,2]
[1,4,3,6,5,10,9,7,8,2]=>[1,8,4,3,6,5,9,7,10,2]
[1,4,3,8,7,5,6,10,9,2]=>[1,9,4,3,7,5,8,6,10,2]
[1,4,3,10,7,5,9,6,8,2]=>[1,8,4,3,7,10,9,5,6,2]
[1,4,3,10,9,8,5,6,7,2]=>[1,7,4,3,8,5,6,9,10,2]
[1,6,5,3,4,8,7,10,9,2]=>[1,9,5,3,6,4,8,7,10,2]
[1,6,5,3,4,10,9,7,8,2]=>[1,8,5,3,6,4,9,7,10,2]
[1,8,5,3,7,4,6,10,9,2]=>[1,9,5,8,7,3,4,6,10,2]
[1,10,5,3,7,4,9,6,8,2]=>[1,8,5,10,7,9,4,6,3,2]
[1,10,5,3,9,8,4,6,7,2]=>[1,7,5,10,8,3,6,9,4,2]
[1,8,7,6,3,4,5,10,9,2]=>[1,9,6,3,4,7,8,5,10,2]
[1,10,7,6,3,4,9,5,8,2]=>[1,8,6,3,7,10,9,5,4,2]
[1,10,9,6,3,8,4,5,7,2]=>[1,7,6,9,3,8,5,4,10,2]
[1,10,9,8,7,3,4,5,6,2]=>[1,6,7,3,4,5,8,9,10,2]
[3,1,2,6,5,8,7,10,9,4]=>[3,1,2,9,6,5,8,7,10,4]
[3,1,2,6,5,10,9,7,8,4]=>[3,1,2,8,6,5,9,7,10,4]
[3,1,2,8,7,5,6,10,9,4]=>[3,1,2,9,7,5,8,6,10,4]
[3,1,2,10,7,5,9,6,8,4]=>[3,1,2,8,7,10,9,5,6,4]
[3,1,2,10,9,8,5,6,7,4]=>[3,1,2,7,8,5,6,9,10,4]
[3,1,5,2,4,8,7,10,9,6]=>[3,5,1,2,4,9,8,7,10,6]
[3,1,5,2,4,10,9,7,8,6]=>[3,5,1,2,4,8,9,7,10,6]
[3,1,5,2,7,4,6,10,9,8]=>[3,5,1,7,2,4,6,9,10,8]
[3,1,5,2,9,8,4,6,7,10]=>[3,5,1,8,2,4,6,9,7,10]
[3,1,7,6,2,4,5,10,9,8]=>[3,6,1,2,4,7,5,9,10,8]
[3,1,7,6,2,4,9,5,8,10]=>[3,6,1,2,7,9,5,4,8,10]
[3,1,9,6,2,8,4,5,7,10]=>[3,6,1,9,2,8,5,4,7,10]
[3,1,9,8,7,2,4,5,6,10]=>[3,7,1,2,4,5,8,9,6,10]
[5,4,1,2,3,8,7,10,9,6]=>[4,1,2,5,3,9,8,7,10,6]
[5,4,1,2,3,10,9,7,8,6]=>[4,1,2,5,3,8,9,7,10,6]
[5,4,1,2,7,3,6,10,9,8]=>[4,1,5,7,3,2,6,9,10,8]
[5,4,1,2,7,3,9,6,8,10]=>[4,1,5,7,3,9,2,6,8,10]
[5,4,1,2,9,8,3,6,7,10]=>[4,1,5,8,3,2,6,9,7,10]
[7,4,1,6,2,3,5,10,9,8]=>[4,7,1,6,3,2,5,9,10,8]
[7,4,1,6,2,3,9,5,8,10]=>[4,7,1,6,9,2,3,5,8,10]
[9,4,1,6,2,8,3,5,7,10]=>[4,9,6,8,1,2,5,3,7,10]
[9,4,1,8,7,2,3,5,6,10]=>[4,9,1,7,3,5,8,2,6,10]
[7,6,5,1,2,3,4,10,9,8]=>[5,1,2,3,6,7,4,9,10,8]
[7,6,5,1,2,3,9,4,8,10]=>[5,1,2,6,7,9,3,4,8,10]
[9,6,5,1,2,8,3,4,7,10]=>[5,1,6,3,9,8,4,2,7,10]
[9,8,5,1,7,2,3,4,6,10]=>[5,8,1,3,7,4,2,9,6,10]
[9,1,2,3,4,5,6,10,8,7]=>[9,1,2,3,4,5,8,10,6,7]
[9,1,2,3,4,5,10,7,8,6]=>[9,1,2,3,4,8,10,7,5,6]
[10,1,2,3,4,9,6,7,8,5]=>[10,1,2,3,8,9,6,7,4,5]
[9,1,2,3,10,5,6,7,8,4]=>[9,1,2,8,10,5,6,7,3,4]
[9,1,2,10,4,5,6,7,8,3]=>[9,1,8,10,4,5,6,7,2,3]
[10,1,9,3,4,5,6,7,8,2]=>[10,8,9,3,4,5,6,7,1,2]
[10,1,2,3,4,5,6,8,9,7]=>[10,1,2,3,4,5,9,6,8,7]
[9,1,2,3,4,5,7,10,8,6]=>[9,1,2,3,4,8,5,10,7,6]
[9,1,2,3,4,6,10,7,8,5]=>[9,1,2,3,8,4,10,7,6,5]
[10,1,2,3,5,9,6,7,8,4]=>[10,1,2,8,3,9,6,7,5,4]
[9,1,2,4,10,5,6,7,8,3]=>[9,1,8,2,10,5,6,7,4,3]
[9,1,3,10,4,5,6,7,8,2]=>[9,8,1,10,4,5,6,7,3,2]
[10,2,9,3,4,5,6,7,8,1]=>[8,10,9,3,4,5,6,7,2,1]
[1,3,2,10,6,5,4,9,8,7]=>[1,3,2,5,6,10,8,9,4,7]
[1,6,3,2,5,4,10,9,8,7]=>[1,3,6,5,2,4,8,9,10,7]
[1,6,3,2,10,5,4,9,8,7]=>[1,3,6,5,10,2,8,9,4,7]
[1,10,6,3,2,5,4,9,8,7]=>[1,3,6,5,2,10,8,9,4,7]
[1,6,3,2,10,9,5,4,8,7]=>[1,3,6,5,9,2,8,4,10,7]
[1,10,6,3,2,9,5,4,8,7]=>[1,3,6,5,10,9,8,2,4,7]
[3,1,2,6,5,4,10,9,8,7]=>[3,1,2,5,6,4,8,9,10,7]
[3,1,2,10,6,5,4,9,8,7]=>[3,1,2,5,6,10,8,9,4,7]
[3,1,6,2,5,4,10,9,8,7]=>[3,6,1,5,2,4,8,9,10,7]
[3,1,6,2,10,5,4,9,8,7]=>[3,6,1,5,10,2,8,9,4,7]
[3,1,10,6,2,5,4,9,8,7]=>[3,6,1,5,2,10,8,9,4,7]
[3,1,6,2,10,9,5,4,8,7]=>[3,6,1,5,9,2,8,4,10,7]
[3,1,10,6,2,9,5,4,8,7]=>[3,6,1,5,10,9,8,2,4,7]
[6,3,1,2,5,4,10,9,8,7]=>[3,1,6,5,2,4,8,9,10,7]
[6,3,1,2,10,5,4,9,8,7]=>[3,1,6,5,10,2,8,9,4,7]
[6,3,1,10,2,5,4,9,8,7]=>[3,6,10,5,1,2,8,9,4,7]
[10,6,3,1,2,5,4,9,8,7]=>[3,1,6,5,2,10,8,9,4,7]
[6,3,1,2,10,9,5,4,8,7]=>[3,1,6,5,9,2,8,4,10,7]
[6,3,1,10,2,9,5,4,8,7]=>[3,6,10,5,9,2,8,4,1,7]
[10,6,3,1,2,9,5,4,8,7]=>[3,1,6,5,10,9,8,2,4,7]
[3,1,6,5,2,4,10,9,8,7]=>[3,5,1,2,6,4,8,9,10,7]
[3,1,6,5,2,10,4,9,8,7]=>[3,5,1,6,10,4,8,9,2,7]
[3,1,10,6,5,2,4,9,8,7]=>[3,5,1,2,6,10,8,9,4,7]
[3,1,6,5,2,10,9,4,8,7]=>[3,5,1,6,9,4,8,2,10,7]
[3,1,10,6,5,2,9,4,8,7]=>[3,5,1,6,10,9,8,4,2,7]
[6,3,1,5,2,4,10,9,8,7]=>[3,6,5,1,2,4,8,9,10,7]
[6,3,1,5,2,10,4,9,8,7]=>[3,6,5,10,2,1,8,9,4,7]
[6,3,1,10,5,2,4,9,8,7]=>[3,6,5,1,10,2,8,9,4,7]
[10,6,3,1,5,2,4,9,8,7]=>[3,6,5,1,2,10,8,9,4,7]
[6,3,1,5,2,10,9,4,8,7]=>[3,6,5,9,2,1,8,4,10,7]
[6,3,1,10,5,2,9,4,8,7]=>[3,6,5,10,9,2,8,1,4,7]
[10,6,3,1,5,2,9,4,8,7]=>[3,6,5,10,4,9,8,2,1,7]
[6,3,1,10,9,5,2,4,8,7]=>[3,6,5,1,9,2,8,4,10,7]
[10,6,3,1,9,5,2,4,8,7]=>[3,6,5,2,10,9,8,4,1,7]
[3,1,6,5,2,10,9,8,4,7]=>[3,5,1,6,8,4,2,9,10,7]
[3,1,10,6,5,2,9,8,4,7]=>[3,5,1,6,10,8,4,9,2,7]
[6,3,1,5,2,10,9,8,4,7]=>[3,6,5,8,2,1,4,9,10,7]
[6,3,1,10,5,2,9,8,4,7]=>[3,6,5,10,8,2,1,9,4,7]
[10,6,3,1,5,2,9,8,4,7]=>[3,6,5,10,4,8,2,9,1,7]
[6,3,1,10,9,5,2,8,4,7]=>[3,6,5,9,8,2,1,4,10,7]
[1,9,2,10,3,4,5,6,7,8]=>[1,9,10,3,4,5,6,7,2,8]
[1,4,2,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]
[1,3,4,2,6,5,8,7,10,9]=>[1,4,3,2,6,5,8,7,10,9]
[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,9,7,8,10]
[2,1,3,4,5,6,7,10,8,9]=>[2,1,3,4,5,6,7,10,8,9]
[5,7,6,4,8,3,9,2,10,1]=>[10,9,8,6,5,7,4,3,2,1]
[4,6,5,8,7,3,9,2,10,1]=>[10,9,7,4,6,5,8,3,2,1]
[3,5,4,7,9,8,6,2,10,1]=>[10,6,3,5,4,8,7,9,2,1]
[4,6,5,3,7,9,8,2,10,1]=>[10,8,5,4,6,3,7,9,2,1]
[3,5,4,7,6,9,8,2,10,1]=>[10,8,3,5,4,7,6,9,2,1]
[2,4,3,7,9,8,6,10,5,1]=>[5,2,4,3,10,8,7,9,6,1]
[2,4,3,6,8,7,10,9,5,1]=>[5,2,4,3,9,6,8,7,10,1]
[3,5,4,2,6,8,10,9,7,1]=>[7,4,3,5,2,6,9,8,10,1]
[2,4,3,6,5,8,10,9,7,1]=>[7,2,4,3,6,5,9,8,10,1]
[4,6,5,3,7,2,8,10,9,1]=>[9,7,5,4,6,3,2,8,10,1]
[3,5,4,7,6,2,8,10,9,1]=>[9,6,3,5,4,7,2,8,10,1]
[2,4,3,6,8,7,5,10,9,1]=>[9,2,4,3,7,6,8,5,10,1]
[3,5,4,2,6,8,7,10,9,1]=>[9,4,3,5,2,6,8,7,10,1]
[2,1,6,8,7,5,9,4,10,3]=>[2,1,10,9,7,6,8,5,4,3]
[2,1,5,7,6,9,8,4,10,3]=>[2,1,10,8,5,7,6,9,4,3]
[2,1,4,6,5,8,10,9,7,3]=>[2,1,7,4,6,5,9,8,10,3]
[2,1,5,7,6,4,8,10,9,3]=>[2,1,9,6,5,7,4,8,10,3]
[2,1,4,6,5,8,7,10,9,3]=>[2,1,9,4,6,5,8,7,10,3]
[3,2,6,8,7,5,9,4,1,10]=>[4,3,2,9,7,6,8,5,1,10]
[3,2,5,7,6,9,8,4,1,10]=>[4,3,2,8,5,7,6,9,1,10]
[2,1,5,7,6,4,8,3,10,9]=>[2,1,8,6,5,7,4,3,10,9]
[2,1,4,6,5,8,7,3,10,9]=>[2,1,7,4,6,5,8,3,10,9]
[4,3,6,8,7,5,2,9,1,10]=>[9,5,4,3,7,6,8,2,1,10]
[3,2,5,7,6,4,9,8,1,10]=>[8,3,2,6,5,7,4,9,1,10]
[3,2,5,7,6,4,1,8,10,9]=>[4,3,2,6,5,7,1,8,10,9]
[5,4,7,6,3,8,2,9,1,10]=>[9,8,6,5,4,7,3,2,1,10]
[4,3,6,5,8,7,2,9,1,10]=>[9,7,4,3,6,5,8,2,1,10]
[2,4,3,7,9,8,6,5,1,10]=>[5,2,4,3,6,8,7,9,1,10]
[4,3,6,5,2,7,9,8,1,10]=>[8,5,4,3,6,2,7,9,1,10]
[1,3,2,7,9,8,6,10,5,4]=>[1,3,2,5,10,8,7,9,6,4]
[1,3,2,6,8,7,10,9,5,4]=>[1,3,2,5,9,6,8,7,10,4]
[2,4,3,1,5,8,10,9,7,6]=>[3,2,4,1,5,7,9,8,10,6]
[1,3,2,5,4,8,10,9,7,6]=>[1,3,2,5,4,7,9,8,10,6]
[4,3,6,5,2,7,1,8,10,9]=>[7,5,4,3,6,2,1,8,10,9]
[3,2,5,4,7,6,1,8,10,9]=>[6,3,2,5,4,7,1,8,10,9]
[1,3,2,6,8,7,5,4,10,9]=>[1,3,2,5,7,6,8,4,10,9]
[3,2,5,4,1,6,8,7,10,9]=>[4,3,2,5,1,6,8,7,10,9]
[10,2,3,4,5,6,7,8,1,9]=>[8,10,2,3,4,5,6,7,1,9]
[3,10,1,4,5,6,7,8,9,2]=>[10,9,3,1,4,5,6,7,8,2]
[8,1,10,3,4,5,6,7,2,9]=>[8,7,10,3,4,5,6,1,2,9]
[10,9,2,1,3,4,5,6,8,7]=>[2,9,1,3,4,5,8,6,10,7]
[8,2,1,10,4,5,6,7,3,9]=>[2,8,7,10,4,5,6,1,3,9]
[7,10,8,3,4,5,6,1,2,9]=>[6,1,8,3,4,5,7,10,2,9]
[3,9,1,2,10,5,6,7,8,4]=>[9,1,3,8,10,5,6,7,2,4]
[9,8,10,1,2,3,4,6,7,5]=>[10,1,2,3,7,4,6,9,8,5]
[1,2,3,4,8,9,10,5,6,7]=>[1,2,3,4,10,5,6,8,9,7]
[1,2,3,4,5,8,10,6,9,7]=>[1,2,3,4,5,10,9,8,6,7]
[1,2,7,8,9,10,3,4,5,6]=>[1,2,10,3,4,5,7,8,9,6]
[1,2,3,7,8,10,4,5,9,6]=>[1,2,3,10,4,9,7,8,5,6]
[1,2,3,4,9,10,7,8,5,6]=>[1,2,3,4,8,5,10,7,9,6]
[1,2,3,4,7,10,5,9,8,6]=>[1,2,3,4,10,8,7,9,5,6]
[1,6,7,8,10,2,3,4,9,5]=>[1,10,2,3,9,6,7,8,4,5]
[1,2,6,9,10,3,7,8,4,5]=>[1,2,10,8,4,6,3,7,9,5]
[1,2,6,7,10,3,4,9,8,5]=>[1,2,10,3,8,6,7,9,4,5]
[1,2,3,8,10,6,9,4,7,5]=>[1,2,3,9,7,10,4,8,6,5]
[5,6,9,10,1,2,7,8,3,4]=>[10,1,8,3,5,6,2,7,9,4]
[1,8,9,10,5,6,7,2,3,4]=>[1,7,2,3,10,5,6,8,9,4]
[1,5,8,10,2,6,9,3,7,4]=>[1,10,9,7,5,2,3,8,6,4]
[1,5,6,10,2,3,9,8,7,4]=>[1,10,2,7,5,6,8,9,3,4]
[1,2,9,10,7,8,5,6,3,4]=>[1,2,6,3,8,5,10,7,9,4]
[1,2,5,10,3,9,8,7,6,4]=>[1,2,10,6,5,7,8,9,3,4]
[7,8,10,4,5,9,1,2,6,3]=>[9,1,6,10,4,2,7,8,5,3]
[4,7,10,1,5,9,2,8,6,3]=>[10,9,6,4,1,8,7,2,5,3]
[1,6,10,4,9,2,8,7,5,3]=>[1,9,5,7,8,6,10,2,4,3]
[1,4,10,2,9,8,7,6,5,3]=>[1,10,5,4,6,7,8,9,2,3]
[5,10,3,9,1,8,7,6,4,2]=>[9,4,6,7,5,8,10,1,2,3]
[2,3,4,5,7,8,9,10,6,1]=>[6,2,3,4,5,10,7,8,9,1]
[2,3,4,5,6,7,10,9,8,1]=>[8,2,3,4,5,6,7,9,10,1]
[2,3,4,5,6,9,8,10,7,1]=>[7,2,3,4,5,6,10,9,8,1]
[2,3,4,5,8,7,9,10,6,1]=>[6,2,3,4,5,10,8,7,9,1]
[2,3,4,7,6,8,9,10,5,1]=>[5,2,3,4,10,7,6,8,9,1]
[2,3,6,5,7,8,9,10,4,1]=>[4,2,3,10,6,5,7,8,9,1]
[2,5,4,6,7,8,9,10,3,1]=>[3,2,10,5,4,6,7,8,9,1]
[4,3,5,6,7,8,9,10,2,1]=>[2,10,4,3,5,6,7,8,9,1]
[1,3,10,2,4,5,6,7,8,9]=>[1,10,3,2,4,5,6,7,8,9]
[2,1,4,3,6,5,10,8,9,7]=>[2,1,4,3,6,5,9,10,8,7]
[2,1,4,3,8,6,7,5,10,9]=>[2,1,4,3,7,8,6,5,10,9]
[2,1,4,3,10,7,9,6,8,5]=>[2,1,4,3,8,9,10,6,7,5]
[2,1,6,4,5,3,8,7,10,9]=>[2,1,5,6,4,3,8,7,10,9]
[2,1,6,4,5,3,10,8,9,7]=>[2,1,5,6,4,3,9,10,8,7]
[2,1,10,8,9,6,7,4,5,3]=>[2,1,5,7,4,9,6,10,8,3]
[2,1,10,7,9,6,8,4,5,3]=>[2,1,5,8,4,9,10,6,7,3]
[2,1,8,5,7,4,6,3,10,9]=>[2,1,6,7,8,4,5,3,10,9]
[2,1,10,8,9,5,7,4,6,3]=>[2,1,6,7,9,4,5,10,8,3]
[2,1,10,7,9,5,8,4,6,3]=>[2,1,6,8,9,4,10,5,7,3]
[2,1,10,6,9,5,8,4,7,3]=>[2,1,7,8,9,10,4,5,6,3]
[4,2,3,1,6,5,8,7,10,9]=>[3,4,2,1,6,5,8,7,10,9]
[4,2,3,1,6,5,10,8,9,7]=>[3,4,2,1,6,5,9,10,8,7]
[4,2,3,1,8,6,7,5,10,9]=>[3,4,2,1,7,8,6,5,10,9]
[4,2,3,1,10,8,9,6,7,5]=>[3,4,2,1,7,9,6,10,8,5]
[4,2,3,1,10,7,9,6,8,5]=>[3,4,2,1,8,9,10,6,7,5]
[6,4,5,2,3,1,10,8,9,7]=>[3,5,2,6,4,1,9,10,8,7]
[8,6,7,4,5,2,3,1,10,9]=>[3,5,2,7,4,8,6,1,10,9]
[10,7,9,6,8,4,5,2,3,1]=>[3,5,2,8,4,9,10,6,7,1]
[8,5,7,4,6,2,3,1,10,9]=>[3,6,2,7,8,4,5,1,10,9]
[10,8,9,5,7,4,6,2,3,1]=>[3,6,2,7,9,4,5,10,8,1]
[10,7,9,5,8,4,6,2,3,1]=>[3,6,2,8,9,4,10,5,7,1]
[10,6,9,5,8,4,7,2,3,1]=>[3,7,2,8,9,10,4,5,6,1]
[6,3,5,2,4,1,8,7,10,9]=>[4,5,6,2,3,1,8,7,10,9]
[6,3,5,2,4,1,10,8,9,7]=>[4,5,6,2,3,1,9,10,8,7]
[8,6,7,3,5,2,4,1,10,9]=>[4,5,7,2,3,8,6,1,10,9]
[10,8,9,6,7,3,5,2,4,1]=>[4,5,7,2,3,9,6,10,8,1]
[10,7,9,6,8,3,5,2,4,1]=>[4,5,8,2,3,9,10,6,7,1]
[8,5,7,3,6,2,4,1,10,9]=>[4,6,7,2,8,3,5,1,10,9]
[10,8,9,5,7,3,6,2,4,1]=>[4,6,7,2,9,3,5,10,8,1]
[10,7,9,5,8,3,6,2,4,1]=>[4,6,8,2,9,3,10,5,7,1]
[10,6,9,5,8,3,7,2,4,1]=>[4,7,8,2,9,10,3,5,6,1]
[8,4,7,3,6,2,5,1,10,9]=>[5,6,7,8,2,3,4,1,10,9]
[10,8,9,4,7,3,6,2,5,1]=>[5,6,7,9,2,3,4,10,8,1]
[10,7,9,4,8,3,6,2,5,1]=>[5,6,8,9,2,3,10,4,7,1]
[10,6,9,4,8,3,7,2,5,1]=>[5,7,8,9,2,10,3,4,6,1]
[10,5,9,4,8,3,7,2,6,1]=>[6,7,8,9,10,2,3,4,5,1]
[1,3,5,2,4,7,6,9,8,10]=>[1,5,3,2,4,7,6,9,8,10]
[1,4,2,5,3,7,6,9,8,10]=>[1,4,5,2,3,7,6,9,8,10]
[10,3,1,5,6,7,8,9,2,4]=>[3,10,9,1,2,5,6,7,8,4]
[10,4,1,5,6,7,8,9,2,3]=>[4,10,1,9,2,5,6,7,8,3]
[4,2,6,8,10,1,3,5,7,9]=>[10,4,1,2,3,6,5,8,7,9]
[4,6,2,8,10,1,3,5,7,9]=>[10,6,1,4,3,2,5,8,7,9]
[4,6,8,2,10,1,3,5,7,9]=>[10,8,1,4,3,6,5,2,7,9]
[4,6,8,10,2,1,3,5,7,9]=>[2,10,1,4,3,6,5,8,7,9]
[4,6,8,2,9,1,3,5,7,10]=>[9,8,1,4,3,6,5,2,7,10]
[4,6,2,7,9,1,3,5,8,10]=>[9,6,1,4,3,2,7,5,8,10]
[4,2,5,7,9,1,3,6,8,10]=>[9,4,1,2,5,3,7,6,8,10]
[2,3,5,7,9,1,4,6,8,10]=>[9,2,3,1,5,4,7,6,8,10]
[9,7,10,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,10,9,1,7]
[9,7,5,10,8,6,4,3,2,1]=>[2,3,4,6,8,7,10,9,5,1]
[8,9,6,10,7,5,4,3,2,1]=>[2,3,4,5,7,10,9,8,1,6]
[9,7,5,3,10,8,6,4,2,1]=>[2,4,6,5,8,7,10,9,1,3]
[8,9,6,4,10,7,5,3,2,1]=>[2,3,5,7,6,10,9,8,4,1]
[8,5,9,6,10,7,4,3,2,1]=>[2,3,4,7,10,8,9,6,1,5]
[7,8,9,5,10,6,4,3,2,1]=>[2,3,4,6,10,9,7,8,1,5]
[8,9,6,4,2,10,7,5,3,1]=>[3,5,4,7,6,10,9,8,1,2]
[8,5,9,6,3,10,7,4,2,1]=>[2,4,7,6,10,9,8,3,1,5]
[7,8,9,5,3,10,6,4,2,1]=>[2,4,6,5,10,9,7,8,3,1]
[7,8,4,9,5,10,6,3,2,1]=>[2,3,6,10,8,9,7,5,1,4]
[6,7,8,9,4,10,5,3,2,1]=>[2,3,5,10,9,6,7,8,1,4]
[8,5,9,6,3,1,10,7,4,2]=>[3,6,4,9,7,10,8,5,1,2]
[7,8,9,5,3,1,10,6,4,2]=>[3,5,4,9,6,10,7,8,1,2]
[8,5,2,9,6,3,10,7,4,1]=>[4,7,5,10,6,8,9,3,2,1]
[6,7,8,9,4,2,10,5,3,1]=>[3,5,4,10,9,6,7,8,2,1]
[7,3,8,4,9,5,10,6,2,1]=>[2,6,10,7,8,9,4,5,1,3]
[6,7,8,3,9,4,10,5,2,1]=>[2,5,10,8,9,6,7,4,1,3]
[5,6,7,8,9,3,10,4,2,1]=>[2,4,10,9,5,6,7,8,1,3]
[7,8,4,1,9,5,2,10,6,3]=>[4,8,5,9,6,10,7,2,1,3]
[7,3,8,4,9,5,1,10,6,2]=>[5,9,6,10,7,8,1,3,2,4]
[6,7,8,3,9,4,1,10,5,2]=>[4,9,5,10,8,6,7,3,2,1]
[5,6,7,8,9,3,1,10,4,2]=>[3,9,4,10,5,6,7,8,2,1]
[6,7,2,8,3,9,4,10,5,1]=>[5,10,7,8,9,6,3,4,1,2]
[5,6,7,8,2,9,3,10,4,1]=>[4,10,8,9,5,6,7,3,1,2]
[4,5,6,7,8,9,2,10,3,1]=>[3,10,9,4,5,6,7,8,1,2]
[5,6,7,1,8,2,9,3,10,4]=>[7,8,9,10,5,6,1,2,3,4]
[4,5,6,7,8,1,9,2,10,3]=>[8,9,10,4,5,6,7,1,2,3]
[2,1,4,3,6,5,8,10,7,9]=>[2,1,4,3,6,5,10,8,7,9]
[2,1,4,3,6,8,5,10,7,9]=>[2,1,4,3,8,6,10,5,7,9]
[2,1,4,6,3,8,5,10,7,9]=>[2,1,6,4,8,3,10,5,7,9]
[2,3,4,5,6,7,10,8,9,1]=>[9,2,3,4,5,6,7,10,8,1]
[2,3,4,5,6,10,7,8,9,1]=>[9,2,3,4,5,6,10,7,8,1]
[2,3,4,10,5,6,7,8,9,1]=>[9,2,3,4,10,5,6,7,8,1]
[2,3,10,4,5,6,7,8,9,1]=>[9,2,3,10,4,5,6,7,8,1]
[2,3,4,5,6,10,8,7,9,1]=>[9,2,3,4,5,6,8,10,7,1]
[2,3,4,5,10,7,6,8,9,1]=>[9,2,3,4,5,7,10,6,8,1]
[2,3,4,10,6,5,7,8,9,1]=>[9,2,3,4,6,10,5,7,8,1]
[2,3,10,5,4,6,7,8,9,1]=>[9,2,3,5,10,4,6,7,8,1]
[2,10,4,3,5,6,7,8,9,1]=>[9,2,4,10,3,5,6,7,8,1]
[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,9,8,7]
[2,1,4,3,7,6,8,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]
[2,1,4,3,7,6,9,8,10,5]=>[2,1,4,3,10,7,6,9,8,5]
[2,1,4,3,8,7,9,6,10,5]=>[2,1,4,3,10,9,8,7,6,5]
[2,1,5,4,6,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]
[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,5,4,3,10,9,8,7]
[2,1,5,4,7,6,8,3,10,9]=>[2,1,8,5,4,7,6,3,10,9]
[2,1,5,4,7,6,9,8,10,3]=>[2,1,10,5,4,7,6,9,8,3]
[2,1,5,4,8,7,9,6,10,3]=>[2,1,10,5,4,9,8,7,6,3]
[2,1,6,5,7,4,8,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]
[2,1,6,5,7,4,9,8,10,3]=>[2,1,10,7,6,5,4,9,8,3]
[2,1,6,5,8,7,9,4,10,3]=>[2,1,10,9,6,5,8,7,4,3]
[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,9,8,7,6,5,4,3]
[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]
[3,2,4,1,6,5,9,8,10,7]=>[4,3,2,1,6,5,10,9,8,7]
[3,2,4,1,7,6,8,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]
[3,2,4,1,7,6,9,8,10,5]=>[4,3,2,1,10,7,6,9,8,5]
[3,2,4,1,8,7,9,6,10,5]=>[4,3,2,1,10,9,8,7,6,5]
[3,2,5,4,6,1,8,7,10,9]=>[6,3,2,5,4,1,8,7,10,9]
[3,2,5,4,6,1,9,8,10,7]=>[6,3,2,5,4,1,10,9,8,7]
[3,2,5,4,7,6,8,1,10,9]=>[8,3,2,5,4,7,6,1,10,9]
[3,2,5,4,7,6,9,8,10,1]=>[10,3,2,5,4,7,6,9,8,1]
[3,2,5,4,8,7,9,6,10,1]=>[10,3,2,5,4,9,8,7,6,1]
[3,2,6,5,7,4,8,1,10,9]=>[8,3,2,7,6,5,4,1,10,9]
[3,2,6,5,7,4,9,8,10,1]=>[10,3,2,7,6,5,4,9,8,1]
[3,2,6,5,8,7,9,4,10,1]=>[10,3,2,9,6,5,8,7,4,1]
[3,2,7,6,8,5,9,4,10,1]=>[10,3,2,9,8,7,6,5,4,1]
[4,3,5,2,6,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]
[4,3,5,2,6,1,9,8,10,7]=>[6,5,4,3,2,1,10,9,8,7]
[4,3,5,2,7,6,8,1,10,9]=>[8,5,4,3,2,7,6,1,10,9]
[4,3,5,2,7,6,9,8,10,1]=>[10,5,4,3,2,7,6,9,8,1]
[4,3,5,2,8,7,9,6,10,1]=>[10,5,4,3,2,9,8,7,6,1]
[4,3,6,5,7,2,8,1,10,9]=>[8,7,4,3,6,5,2,1,10,9]
[4,3,6,5,7,2,9,8,10,1]=>[10,7,4,3,6,5,2,9,8,1]
[4,3,6,5,8,7,9,2,10,1]=>[10,9,4,3,6,5,8,7,2,1]
[4,3,7,6,8,5,9,2,10,1]=>[10,9,4,3,8,7,6,5,2,1]
[5,4,6,3,7,2,8,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]
[5,4,6,3,7,2,9,8,10,1]=>[10,7,6,5,4,3,2,9,8,1]
[5,4,6,3,8,7,9,2,10,1]=>[10,9,6,5,4,3,8,7,2,1]
[5,4,7,6,8,3,9,2,10,1]=>[10,9,8,5,4,7,6,3,2,1]
[9,3,2,1,4,5,6,7,8,10]=>[2,3,9,1,4,5,6,7,8,10]
[4,3,2,5,6,7,8,9,1,10]=>[9,3,4,2,5,6,7,8,1,10]
[1,2,3,9,4,5,6,7,10,8]=>[1,2,3,9,4,5,6,10,7,8]
[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8]
[1,10,7,2,3,4,5,6,9,8]=>[1,7,2,3,4,5,10,9,6,8]
[1,2,10,6,3,4,5,7,9,8]=>[1,2,6,3,4,10,5,9,7,8]
[1,2,5,9,3,4,6,7,10,8]=>[1,2,9,3,5,4,6,10,7,8]
[1,2,4,5,10,6,3,7,9,8]=>[1,2,6,4,5,10,3,9,7,8]
[1,3,4,5,6,10,7,2,9,8]=>[1,7,3,4,5,6,10,9,2,8]
[2,3,4,5,6,9,10,1,7,8]=>[10,2,3,4,5,6,1,7,9,8]
[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]
[1,2,3,4,5,7,6,9,8,10]=>[1,2,3,4,5,7,6,9,8,10]
[1,2,3,4,5,8,7,10,6,9]=>[1,2,3,4,5,10,8,7,6,9]
[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]
[1,2,3,5,4,6,7,9,8,10]=>[1,2,3,5,4,6,7,9,8,10]
[1,2,3,5,4,7,6,8,9,10]=>[1,2,3,5,4,7,6,8,9,10]
[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]
[1,2,3,5,4,8,7,10,6,9]=>[1,2,3,5,4,10,8,7,6,9]
[1,2,3,6,5,8,4,7,9,10]=>[1,2,3,8,6,5,4,7,9,10]
[1,2,3,6,5,9,8,10,4,7]=>[1,2,3,10,6,5,4,9,8,7]
[1,2,3,6,5,9,4,8,7,10]=>[1,2,3,9,6,5,8,4,7,10]
[1,2,3,7,6,10,4,8,5,9]=>[1,2,3,10,8,7,6,4,5,9]
[1,3,2,4,5,6,7,9,8,10]=>[1,3,2,4,5,6,7,9,8,10]
[1,3,2,4,5,7,6,8,9,10]=>[1,3,2,4,5,7,6,8,9,10]
[1,3,2,4,5,7,6,9,8,10]=>[1,3,2,4,5,7,6,9,8,10]
[1,3,2,4,5,8,7,10,6,9]=>[1,3,2,4,5,10,8,7,6,9]
[1,3,2,5,4,6,7,8,9,10]=>[1,3,2,5,4,6,7,8,9,10]
[1,3,2,5,4,6,7,9,8,10]=>[1,3,2,5,4,6,7,9,8,10]
[1,3,2,5,4,7,6,8,9,10]=>[1,3,2,5,4,7,6,8,9,10]
[1,3,2,5,4,8,7,10,6,9]=>[1,3,2,5,4,10,8,7,6,9]
[1,3,2,6,5,8,4,7,9,10]=>[1,3,2,8,6,5,4,7,9,10]
[1,3,2,6,5,9,8,10,4,7]=>[1,3,2,10,6,5,4,9,8,7]
[1,3,2,6,5,9,4,8,7,10]=>[1,3,2,9,6,5,8,4,7,10]
[1,3,2,7,6,10,4,8,5,9]=>[1,3,2,10,8,7,6,4,5,9]
[1,4,3,6,2,5,7,8,9,10]=>[1,6,4,3,2,5,7,8,9,10]
[1,4,3,6,2,5,7,9,8,10]=>[1,6,4,3,2,5,7,9,8,10]
[1,4,3,7,6,8,2,5,9,10]=>[1,8,4,3,2,7,6,5,9,10]
[1,4,3,7,6,9,8,10,2,5]=>[1,10,4,3,2,7,6,9,8,5]
[1,4,3,8,7,10,2,5,6,9]=>[1,10,4,3,2,5,8,7,6,9]
[1,4,3,7,2,6,5,8,9,10]=>[1,7,4,3,6,2,5,8,9,10]
[1,4,3,7,2,6,5,9,8,10]=>[1,7,4,3,6,2,5,9,8,10]
[1,4,3,8,7,10,2,6,5,9]=>[1,10,4,3,6,2,8,7,5,9]
[1,4,3,8,5,9,2,7,6,10]=>[1,9,4,3,8,7,2,5,6,10]
[1,5,4,8,2,6,3,7,9,10]=>[1,8,6,5,4,2,3,7,9,10]
[1,5,4,9,8,10,2,6,3,7]=>[1,10,6,5,4,2,3,9,8,7]
[1,5,4,9,2,6,3,8,7,10]=>[1,9,6,5,4,2,8,3,7,10]
[1,5,4,9,2,7,6,10,3,8]=>[1,9,10,5,4,7,2,3,6,8]
[1,6,5,10,2,7,4,9,3,8]=>[1,10,9,7,6,5,2,3,4,8]
[10,9,8,4,5,6,7,3,2,1]=>[2,3,7,8,4,5,6,9,10,1]
[1,8,9,10,2,3,4,5,6,7]=>[1,10,2,3,4,5,6,8,9,7]
[1,5,6,7,8,9,10,2,3,4]=>[1,10,2,3,5,6,7,8,9,4]
[3,4,2,1,5,6,7,8,9,10]=>[2,4,3,1,5,6,7,8,9,10]
[4,3,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]
[6,3,7,1,2,4,5,8,9,10]=>[7,1,6,2,4,3,5,8,9,10]
[5,4,3,1,2,6,7,8,9,10]=>[3,1,4,5,2,6,7,8,9,10]
[8,3,9,10,1,2,4,5,6,7]=>[10,1,8,2,4,5,6,3,9,7]
[7,8,5,6,1,2,3,4,9,10]=>[6,1,2,3,8,5,7,4,9,10]
[7,4,3,8,1,2,5,6,9,10]=>[8,1,4,7,2,5,3,6,9,10]
[6,5,4,3,1,2,7,8,9,10]=>[3,1,4,5,6,2,7,8,9,10]
[9,10,5,6,1,2,3,4,7,8]=>[6,1,2,3,10,5,4,7,9,8]
[9,4,3,10,1,2,5,6,7,8]=>[10,1,4,9,2,5,6,7,3,8]
[8,6,9,3,7,1,2,4,5,10]=>[7,1,9,2,4,8,3,6,5,10]
[8,5,4,3,9,1,2,6,7,10]=>[9,1,4,5,8,2,6,3,7,10]
[7,6,5,4,3,1,2,8,9,10]=>[3,1,4,5,6,7,2,8,9,10]
[10,6,3,7,1,2,4,5,8,9]=>[7,1,6,2,4,10,3,5,8,9]
[10,5,4,3,1,2,6,7,8,9]=>[3,1,4,5,10,2,6,7,8,9]
[9,7,4,10,3,8,1,2,5,6]=>[8,1,10,7,2,5,9,3,4,6]
[9,6,5,4,3,10,1,2,7,8]=>[10,1,4,5,6,9,2,7,3,8]
[8,7,6,5,4,3,1,2,9,10]=>[3,1,4,5,6,7,8,2,9,10]
[10,8,6,9,3,7,1,2,4,5]=>[7,1,9,2,4,8,3,10,6,5]
[10,8,5,4,3,9,1,2,6,7]=>[9,1,4,5,8,2,6,10,3,7]
[10,7,6,5,4,3,1,2,8,9]=>[3,1,4,5,6,7,10,2,8,9]
[1,3,4,5,6,7,10,2,8,9]=>[1,10,3,4,5,6,7,2,8,9]
[1,3,4,5,6,10,2,7,8,9]=>[1,10,3,4,5,6,2,7,8,9]
[1,3,4,5,10,2,6,7,8,9]=>[1,10,3,4,5,2,6,7,8,9]
[1,3,4,10,2,5,6,7,8,9]=>[1,10,3,4,2,5,6,7,8,9]
[2,3,4,5,6,7,10,9,1,8]=>[9,2,3,4,5,6,7,1,10,8]
[2,3,4,5,6,10,8,9,1,7]=>[9,2,3,4,5,6,1,10,8,7]
[2,3,4,5,6,10,8,1,9,7]=>[8,2,3,4,5,6,10,9,7,1]
[2,3,4,5,6,10,8,1,7,9]=>[8,2,3,4,5,6,1,10,7,9]
[2,3,4,5,6,10,1,7,8,9]=>[10,2,3,4,5,6,1,7,8,9]
[2,3,4,5,10,7,8,9,1,6]=>[9,2,3,4,5,1,10,7,8,6]
[2,3,4,5,10,7,8,1,9,6]=>[8,2,3,4,5,9,10,7,1,6]
[2,3,4,5,10,7,8,1,6,9]=>[8,2,3,4,5,1,10,7,6,9]
[2,3,4,5,10,7,1,9,6,8]=>[7,2,3,4,5,10,9,1,6,8]
[2,3,4,5,10,7,1,6,8,9]=>[7,2,3,4,5,1,10,6,8,9]
[2,3,4,5,10,1,6,7,8,9]=>[10,2,3,4,5,1,6,7,8,9]
[2,3,4,10,6,7,8,1,9,5]=>[8,2,3,4,9,10,6,7,1,5]
[2,3,4,10,6,7,8,1,5,9]=>[8,2,3,4,1,10,6,7,5,9]
[2,3,4,10,6,7,1,8,9,5]=>[7,2,3,4,9,10,6,1,8,5]
[2,3,4,10,6,7,1,9,5,8]=>[7,2,3,4,9,10,6,5,1,8]
[2,3,4,10,6,7,1,5,8,9]=>[7,2,3,4,1,10,6,5,8,9]
[2,3,4,10,6,1,8,5,9,7]=>[6,2,3,4,10,8,9,5,1,7]
[2,3,4,10,6,1,8,5,7,9]=>[6,2,3,4,10,8,1,5,7,9]
[2,3,4,10,6,1,5,7,8,9]=>[6,2,3,4,1,10,5,7,8,9]
[2,3,4,10,1,5,6,7,8,9]=>[10,2,3,4,1,5,6,7,8,9]
[2,3,10,5,6,1,8,9,4,7]=>[6,2,3,9,10,5,4,1,8,7]
[2,3,10,5,6,1,8,4,9,7]=>[6,2,3,8,10,5,9,1,4,7]
[2,3,10,5,6,1,8,4,7,9]=>[6,2,3,8,10,5,4,1,7,9]
[2,3,10,5,6,1,4,7,8,9]=>[6,2,3,1,10,5,4,7,8,9]
[2,3,10,5,1,7,4,9,6,8]=>[5,2,3,10,7,9,4,6,1,8]
[2,3,10,5,1,7,4,6,8,9]=>[5,2,3,10,7,1,4,6,8,9]
[2,3,10,5,1,4,6,7,8,9]=>[5,2,3,1,10,4,6,7,8,9]
[2,10,4,1,6,3,8,5,9,7]=>[4,2,10,6,8,3,9,1,5,7]
[2,10,4,1,6,3,8,5,7,9]=>[4,2,10,6,8,3,5,1,7,9]
[2,10,4,1,6,3,5,7,8,9]=>[4,2,10,6,1,3,5,7,8,9]
[2,10,4,1,3,5,6,7,8,9]=>[4,2,1,10,3,5,6,7,8,9]
[8,7,6,5,4,3,2,9,1,10]=>[9,3,4,5,6,7,8,2,1,10]
[3,4,5,6,7,8,10,1,2,9]=>[10,1,3,4,5,6,7,8,2,9]
[3,4,5,6,7,9,10,1,2,8]=>[10,1,3,4,5,6,7,2,9,8]
[3,4,5,6,8,9,10,1,2,7]=>[10,1,3,4,5,6,2,8,9,7]
[3,4,5,7,8,9,10,1,2,6]=>[10,1,3,4,5,2,7,8,9,6]
[3,4,6,7,8,9,10,1,2,5]=>[10,1,3,4,2,6,7,8,9,5]
[3,5,6,7,8,9,10,1,2,4]=>[10,1,3,2,5,6,7,8,9,4]
[3,4,5,6,7,8,1,2,9,10]=>[8,1,3,4,5,6,7,2,9,10]
[3,4,5,6,7,1,10,2,8,9]=>[7,10,3,4,5,6,1,2,8,9]
[3,4,5,6,1,9,10,2,7,8]=>[6,10,3,4,5,1,2,7,9,8]
[3,4,5,1,8,9,10,2,6,7]=>[5,10,3,4,1,2,6,8,9,7]
[3,4,1,7,8,9,10,2,5,6]=>[4,10,3,1,2,5,7,8,9,6]
[3,1,6,7,8,9,10,2,4,5]=>[3,10,1,2,4,6,7,8,9,5]
[3,1,2,4,5,6,7,8,10,9]=>[3,1,2,4,5,6,7,8,10,9]
[3,5,1,7,2,9,4,8,6,10]=>[5,7,3,9,1,8,2,4,6,10]
[3,5,1,7,2,6,4,9,8,10]=>[5,7,3,6,1,2,4,9,8,10]
[3,5,1,4,2,7,6,9,8,10]=>[5,4,3,1,2,7,6,9,8,10]
[8,9,10,1,5,6,7,3,4,2]=>[10,4,7,3,1,5,6,8,9,2]
[8,9,10,5,6,7,1,3,4,2]=>[7,4,1,3,10,5,6,8,9,2]
[8,9,10,1,5,6,3,4,7,2]=>[10,7,6,3,1,5,4,8,9,2]
[8,9,10,5,6,1,3,4,7,2]=>[6,7,1,3,10,5,4,8,9,2]
[8,9,10,5,6,3,4,7,1,2]=>[7,1,6,3,10,5,4,8,9,2]
[8,9,5,6,10,1,3,4,7,2]=>[10,7,1,3,9,5,4,8,6,2]
[8,9,5,6,10,3,4,7,1,2]=>[7,1,10,3,9,5,4,8,6,2]
[8,9,10,1,5,6,7,3,2,4]=>[10,3,7,2,1,5,6,8,9,4]
[8,9,10,5,6,7,1,3,2,4]=>[7,3,1,2,10,5,6,8,9,4]
[8,9,10,1,5,6,3,7,2,4]=>[10,7,6,2,1,5,3,8,9,4]
[8,9,10,5,6,1,3,7,2,4]=>[6,7,1,2,10,5,3,8,9,4]
[8,9,10,5,6,3,7,1,2,4]=>[7,1,6,2,10,5,3,8,9,4]
[8,9,5,6,10,1,3,7,2,4]=>[10,7,1,2,9,5,3,8,6,4]
[8,9,5,6,10,3,7,1,2,4]=>[7,1,10,2,9,5,3,8,6,4]
[8,9,10,1,5,6,3,2,4,7]=>[10,3,6,2,1,5,4,8,9,7]
[8,9,10,5,6,1,3,2,4,7]=>[6,3,1,2,10,5,4,8,9,7]
[8,9,10,5,6,3,1,2,4,7]=>[3,1,6,2,10,5,4,8,9,7]
[8,9,10,5,6,3,2,4,7,1]=>[7,3,6,2,10,5,4,8,9,1]
[8,9,5,6,10,1,3,2,4,7]=>[10,3,1,2,9,5,4,8,6,7]
[8,9,5,6,10,3,1,2,4,7]=>[3,1,10,2,9,5,4,8,6,7]
[8,9,5,6,10,3,2,4,7,1]=>[7,3,10,2,9,5,4,8,6,1]
[8,9,10,1,5,3,6,7,2,4]=>[10,7,5,2,1,3,6,8,9,4]
[8,9,10,5,1,3,6,7,2,4]=>[5,10,2,1,7,3,6,8,9,4]
[8,9,10,5,3,6,7,1,2,4]=>[7,1,5,2,10,3,6,8,9,4]
[8,9,5,10,1,3,6,7,2,4]=>[10,7,1,2,9,3,6,8,5,4]
[8,9,5,10,3,6,7,1,2,4]=>[7,1,10,2,9,3,6,8,5,4]
[8,9,10,1,5,3,6,2,4,7]=>[10,6,5,2,1,3,4,8,9,7]
[8,9,10,5,1,3,6,2,4,7]=>[5,10,2,1,6,3,4,8,9,7]
[8,9,10,5,3,6,1,2,4,7]=>[6,1,5,2,10,3,4,8,9,7]
[8,9,10,5,3,6,2,4,7,1]=>[7,6,5,2,10,3,4,8,9,1]
[8,9,5,10,1,3,6,2,4,7]=>[10,6,1,2,9,3,4,8,5,7]
[8,9,5,10,3,6,1,2,4,7]=>[6,1,10,2,9,3,4,8,5,7]
[8,9,5,10,3,6,2,4,7,1]=>[7,6,10,2,9,3,4,8,5,1]
[8,9,5,3,6,10,1,2,4,7]=>[10,1,5,2,9,3,4,8,6,7]
[8,9,5,3,6,10,2,4,7,1]=>[7,10,5,2,9,3,4,8,6,1]
[8,5,9,10,1,3,6,7,2,4]=>[10,7,1,2,8,3,6,5,9,4]
[8,5,9,10,3,6,7,1,2,4]=>[7,1,10,2,8,3,6,5,9,4]
[8,5,9,10,1,3,6,2,4,7]=>[10,6,1,2,8,3,4,5,9,7]
[8,5,9,10,3,6,1,2,4,7]=>[6,1,10,2,8,3,4,5,9,7]
[8,5,9,10,3,6,2,4,7,1]=>[7,6,10,2,8,3,4,5,9,1]
[10,1,9,5,6,7,8,2,3,4]=>[10,8,2,3,9,5,6,7,1,4]
[9,1,10,8,6,7,2,3,4,5]=>[9,7,2,3,4,8,6,10,1,5]
[8,1,9,10,7,2,3,4,5,6]=>[8,7,2,3,4,5,10,1,9,6]
[10,1,8,9,2,3,4,5,6,7]=>[10,9,2,3,4,5,6,1,8,7]
[3,1,10,9,6,7,8,2,4,5]=>[3,8,1,2,4,9,6,7,10,5]
[3,1,9,10,8,7,2,4,5,6]=>[3,7,1,2,4,5,8,10,9,6]
[3,1,8,9,10,2,4,5,6,7]=>[3,10,1,2,4,5,6,8,9,7]
[10,2,3,4,5,6,7,9,8,1]=>[8,9,1,3,4,5,6,10,7,2]
[10,2,3,4,5,6,9,8,7,1]=>[7,8,2,3,4,5,9,10,6,1]
[10,2,3,4,5,9,7,8,6,1]=>[6,8,1,3,4,10,9,7,5,2]
[10,2,3,4,9,6,7,8,5,1]=>[5,8,1,3,10,9,6,7,4,2]
[10,2,3,9,5,6,7,8,4,1]=>[4,8,1,10,9,5,6,7,3,2]
[10,2,9,4,5,6,7,8,3,1]=>[3,8,10,9,4,5,6,7,1,2]
[8,2,3,4,5,10,9,1,7,6]=>[9,8,2,3,4,7,1,5,10,6]
[7,2,3,4,10,9,1,8,6,5]=>[9,7,2,3,6,8,4,1,10,5]
[6,2,3,10,9,1,7,8,5,4]=>[9,6,2,5,8,3,1,7,10,4]
[5,2,10,9,1,6,7,8,4,3]=>[9,5,4,8,2,1,6,7,10,3]
[4,10,9,1,5,6,7,8,3,2]=>[9,3,8,4,1,5,6,7,10,2]
[4,2,5,1,6,3,8,7,10,9]=>[5,4,6,2,1,3,8,7,10,9]
[4,2,6,1,7,3,8,5,10,9]=>[6,4,7,2,8,1,3,5,10,9]
[4,2,6,1,8,3,9,5,10,7]=>[6,4,8,2,9,1,10,3,5,7]
[4,2,6,1,8,3,9,5,7,10]=>[6,4,8,2,9,1,5,3,7,10]
[4,2,6,1,7,3,5,9,8,10]=>[6,4,7,2,3,1,5,9,8,10]
[4,2,5,1,3,7,6,9,8,10]=>[5,4,1,2,3,7,6,9,8,10]
[8,7,6,5,4,3,1,2,10,9]=>[3,1,4,5,6,7,8,2,10,9]
[10,9,8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,9,10,1]
[2,3,4,5,9,7,8,10,6,1]=>[6,2,3,4,5,10,9,7,8,1]
[2,3,4,9,6,7,8,10,1,5]=>[10,2,3,4,1,9,6,7,8,5]
[2,3,9,5,6,7,8,10,4,1]=>[4,2,3,10,9,5,6,7,8,1]
[2,9,4,5,6,7,8,10,3,1]=>[3,2,10,9,4,5,6,7,8,1]
[9,3,4,5,6,7,8,10,1,2]=>[10,1,9,3,4,5,6,7,8,2]
[2,3,4,5,6,8,10,1,9,7]=>[10,2,3,4,5,6,9,8,1,7]
[2,3,4,5,7,8,1,10,6,9]=>[8,2,3,4,5,10,7,1,6,9]
[2,3,4,6,7,1,8,10,5,9]=>[7,2,3,4,10,6,1,8,5,9]
[2,3,5,6,1,7,8,10,9,4]=>[6,2,3,9,5,1,7,8,10,4]
[2,4,5,1,6,7,8,10,3,9]=>[5,2,10,4,1,6,7,8,3,9]
[3,4,1,5,6,7,8,10,2,9]=>[4,10,3,1,5,6,7,8,2,9]
[3,2,4,5,6,7,8,10,9,1]=>[9,3,2,4,5,6,7,8,10,1]
[8,10,6,9,4,7,2,5,3,1]=>[3,5,7,9,1,10,4,8,6,2]
[8,10,6,9,4,7,5,2,3,1]=>[3,5,2,7,9,10,1,8,6,4]
[8,10,6,9,7,4,5,2,3,1]=>[3,5,2,7,4,9,10,8,1,6]
[8,10,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,8,10,1]
[1,3,5,2,7,4,6,9,8,10]=>[1,5,3,7,2,4,6,9,8,10]
[1,3,5,2,7,4,9,6,8,10]=>[1,5,3,7,2,9,4,6,8,10]
[1,3,5,2,7,4,9,6,10,8]=>[1,5,3,7,2,9,4,10,6,8]
[1,3,5,2,7,4,8,6,10,9]=>[1,5,3,7,2,8,4,6,10,9]
[1,3,5,2,6,4,8,7,10,9]=>[1,5,3,6,2,4,8,7,10,9]
[1,3,5,7,2,4,6,9,8,10]=>[1,7,3,2,5,4,6,9,8,10]
[1,3,5,2,7,9,4,6,8,10]=>[1,5,3,9,2,4,7,6,8,10]
[1,3,5,2,7,4,9,10,6,8]=>[1,5,3,7,2,10,4,6,9,8]
[1,3,5,2,7,4,8,6,9,10]=>[1,5,3,7,2,8,4,6,9,10]
[1,3,5,2,6,4,9,7,10,8]=>[1,5,3,6,2,4,9,10,7,8]
[1,3,4,2,7,5,8,6,10,9]=>[1,4,3,2,7,8,5,6,10,9]
[1,2,5,3,6,4,8,7,10,9]=>[1,2,5,6,3,4,8,7,10,9]
[2,4,1,5,3,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10]
[5,6,2,1,3,7,4,8,9,10]=>[2,6,1,7,5,3,4,8,9,10]
[3,2,5,1,6,4,7,8,9,10]=>[5,3,2,6,1,4,7,8,9,10]
[6,7,2,1,8,3,4,9,5,10]=>[2,7,8,3,9,6,1,4,5,10]
[3,6,4,1,7,2,8,5,9,10]=>[4,6,3,7,8,2,1,5,9,10]
[3,6,7,2,1,4,8,5,9,10]=>[2,7,3,1,8,6,4,5,9,10]
[4,2,6,1,7,5,3,8,9,10]=>[6,4,5,2,7,1,3,8,9,10]
[4,3,2,6,1,7,5,8,9,10]=>[6,3,4,2,7,1,5,8,9,10]
[3,4,7,1,8,2,9,5,10,6]=>[7,8,3,4,9,10,1,2,5,6]
[7,8,9,3,2,1,4,5,10,6]=>[2,3,9,1,4,10,7,8,5,6]
[4,7,2,5,1,8,3,9,6,10]=>[5,7,8,4,2,9,1,3,6,10]
[4,3,7,8,2,1,5,9,6,10]=>[2,8,4,3,1,9,7,5,6,10]
[3,5,2,7,1,8,6,4,9,10]=>[7,5,3,6,2,8,1,4,9,10]
[5,4,3,2,7,1,8,6,9,10]=>[7,3,4,5,2,8,1,6,9,10]
[5,8,9,2,1,6,3,10,7,4]=>[2,9,6,7,5,1,10,8,3,4]
[5,3,8,6,4,1,9,2,10,7]=>[4,6,8,5,1,9,10,3,2,7]
[3,5,8,2,6,1,9,4,10,7]=>[6,8,3,9,5,2,10,1,4,7]
[5,4,3,8,9,2,1,6,10,7]=>[2,9,4,5,3,1,10,8,6,7]
[6,4,2,8,1,9,7,5,3,10]=>[8,4,6,5,7,3,9,1,2,10]
[4,3,6,2,8,1,9,7,5,10]=>[8,6,4,3,7,2,9,1,5,10]
[6,5,4,3,2,8,1,9,7,10]=>[8,3,4,5,6,2,9,1,7,10]
[5,3,7,2,9,1,10,8,6,4]=>[9,7,5,6,3,8,2,10,1,4]
[5,4,3,7,2,9,1,10,8,6]=>[9,7,4,5,3,8,2,10,1,6]
[7,6,5,4,3,2,9,1,10,8]=>[9,3,4,5,6,7,2,10,1,8]
[1,9,8,10,7,6,5,4,3,2]=>[1,3,4,5,6,7,10,9,8,2]
[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,3,4,5,6,7,8,9]
[3,1,2,10,4,5,6,7,8,9]=>[3,1,2,10,4,5,6,7,8,9]
[4,1,2,3,10,5,6,7,8,9]=>[4,1,2,3,10,5,6,7,8,9]
[5,1,2,3,4,10,6,7,8,9]=>[5,1,2,3,4,10,6,7,8,9]
[6,1,2,3,4,5,10,7,8,9]=>[6,1,2,3,4,5,10,7,8,9]
[7,1,2,3,4,5,6,10,8,9]=>[7,1,2,3,4,5,6,10,8,9]
[10,8,6,4,2,9,7,5,3,1]=>[3,5,4,7,6,9,8,10,1,2]
[10,7,4,1,8,5,2,9,6,3]=>[4,7,5,10,6,8,9,1,3,2]
[9,6,3,8,5,2,10,7,4,1]=>[4,7,5,10,6,8,9,2,3,1]
[9,5,1,7,3,10,6,2,8,4]=>[5,9,6,10,7,8,2,4,1,3]
[10,6,2,7,3,8,4,9,5,1]=>[5,9,6,10,7,8,4,1,3,2]
[7,3,8,4,10,6,2,9,5,1]=>[5,9,6,10,7,8,1,3,4,2]
[8,4,7,3,10,6,2,9,5,1]=>[5,9,6,10,7,8,3,1,4,2]
[10,5,8,3,6,1,9,4,7,2]=>[6,7,8,9,10,3,4,5,1,2]
[9,4,7,2,10,5,8,3,6,1]=>[6,7,8,9,10,3,4,5,2,1]
[10,5,7,2,8,3,9,4,6,1]=>[6,7,8,9,10,4,5,2,3,1]
[8,3,10,5,7,2,9,4,6,1]=>[6,7,8,9,10,4,5,3,2,1]
[8,3,9,4,7,2,10,5,6,1]=>[6,7,8,9,10,5,4,3,2,1]
[9,3,5,7,1,10,4,6,8,2]=>[7,8,9,10,3,4,5,6,1,2]
[10,4,6,8,2,9,3,5,7,1]=>[7,8,9,10,3,4,5,6,2,1]
[10,4,5,6,7,1,8,2,9,3]=>[7,8,9,10,4,5,6,1,2,3]
[8,2,9,3,10,4,5,6,7,1]=>[7,8,9,10,4,5,6,2,3,1]
[9,3,8,2,10,4,5,6,7,1]=>[7,8,9,10,4,5,6,3,2,1]
[5,6,9,3,7,1,10,4,8,2]=>[7,8,9,10,5,6,3,4,1,2]
[5,6,10,4,8,2,9,3,7,1]=>[7,8,9,10,5,6,3,4,2,1]
[5,6,9,3,8,2,10,4,7,1]=>[7,8,9,10,5,6,4,3,2,1]
[6,5,9,3,8,2,10,4,7,1]=>[7,8,9,10,6,5,4,3,2,1]
[9,2,7,6,5,4,10,3,8,1]=>[8,9,10,5,6,7,2,3,4,1]
[10,3,7,6,5,4,8,1,9,2]=>[8,9,10,5,6,7,3,4,1,2]
[9,2,10,3,7,6,5,4,8,1]=>[8,9,10,5,6,7,3,4,2,1]
[7,6,5,4,9,2,10,3,8,1]=>[8,9,10,5,6,7,4,3,2,1]
[6,4,7,5,10,3,9,2,8,1]=>[8,9,10,6,7,4,5,2,3,1]
[6,4,7,5,9,2,10,3,8,1]=>[8,9,10,6,7,4,5,3,2,1]
[7,5,6,4,9,2,10,3,8,1]=>[8,9,10,6,7,5,4,3,2,1]
[6,5,7,4,9,2,10,3,8,1]=>[8,9,10,7,6,5,4,3,2,1]
[5,6,7,3,8,4,9,1,10,2]=>[9,10,7,8,5,6,3,4,1,2]
[5,6,7,3,8,4,10,2,9,1]=>[9,10,7,8,5,6,3,4,2,1]
[5,6,8,4,7,3,10,2,9,1]=>[9,10,7,8,5,6,4,3,2,1]
[6,5,8,4,7,3,10,2,9,1]=>[9,10,7,8,6,5,4,3,2,1]
[4,2,5,6,7,8,9,10,1,3]=>[10,4,1,2,5,6,7,8,9,3]
[1,5,6,7,8,9,10,3,4,2]=>[1,4,10,3,5,6,7,8,9,2]
[1,3,6,7,8,9,10,2,5,4]=>[1,10,3,5,2,6,7,8,9,4]
[3,1,6,7,8,9,10,4,5,2]=>[3,5,1,10,4,6,7,8,9,2]
[9,4,5,6,7,8,2,1,10,3]=>[2,8,10,9,4,5,6,7,1,3]
[4,2,1,7,8,9,10,3,6,5]=>[2,4,10,1,6,3,7,8,9,5]
[10,2,5,6,7,8,9,3,1,4]=>[3,9,10,2,1,5,6,7,8,4]
[7,1,2,3,9,5,6,10,8,4]=>[7,1,2,8,10,4,3,9,6,5]
[6,1,2,9,4,5,3,10,8,7]=>[6,1,5,9,4,2,8,10,3,7]
[9,1,2,3,8,5,10,7,6,4]=>[9,1,2,6,7,10,8,3,5,4]
[9,1,2,8,4,3,10,7,5,6]=>[9,1,4,8,7,5,10,2,3,6]
[8,1,2,7,4,10,6,5,3,9]=>[8,1,5,6,10,7,2,4,3,9]
[9,1,8,3,2,5,10,7,4,6]=>[9,3,8,7,2,4,10,1,5,6]
[8,1,7,3,2,10,6,4,5,9]=>[8,3,7,6,4,10,1,2,5,9]
[7,1,2,3,10,5,6,9,8,4]=>[7,1,2,8,9,4,3,10,6,5]
[6,1,2,10,4,5,3,9,8,7]=>[6,1,5,10,4,2,8,9,3,7]
[8,1,2,3,10,5,9,6,7,4]=>[8,1,2,7,10,9,6,3,5,4]
[8,1,2,10,4,3,9,5,7,6]=>[8,1,4,10,9,7,5,2,3,6]
[7,1,2,10,4,9,5,3,6,8]=>[7,1,5,9,10,4,2,6,3,8]
[8,1,10,3,2,5,9,4,7,6]=>[8,3,10,9,2,7,4,1,5,6]
[7,1,10,3,2,9,4,5,6,8]=>[7,3,10,9,4,5,1,6,2,8]
[10,1,2,3,9,5,8,7,6,4]=>[10,1,2,6,7,8,9,5,3,4]
[10,1,2,9,4,3,8,7,5,6]=>[10,1,4,9,7,5,8,3,2,6]
[10,1,2,9,4,8,3,6,5,7]=>[10,1,8,9,6,3,5,4,2,7]
[9,1,2,8,4,7,6,5,3,10]=>[9,1,5,6,7,8,4,2,3,10]
[10,1,9,3,2,5,8,7,4,6]=>[10,3,9,7,2,4,8,5,1,6]
[10,1,9,3,2,8,5,6,4,7]=>[10,3,9,6,8,5,4,2,1,7]
[9,1,8,3,2,7,6,4,5,10]=>[9,3,8,6,4,7,2,1,5,10]
[8,1,2,3,10,9,5,7,6,4]=>[8,1,2,6,7,9,4,3,10,5]
[8,1,2,10,3,9,4,7,6,5]=>[8,1,10,9,6,7,4,2,3,5]
[7,1,2,10,9,4,6,3,5,8]=>[7,1,6,9,3,4,2,5,10,8]
[8,1,10,2,4,9,3,7,6,5]=>[8,10,9,2,6,7,3,1,4,5]
[7,1,10,2,9,3,6,4,5,8]=>[7,10,9,6,4,3,1,5,2,8]
[10,1,2,3,9,8,5,6,7,4]=>[10,1,2,7,8,5,6,9,3,4]
[10,1,2,9,3,8,4,6,7,5]=>[10,1,9,8,7,4,6,3,2,5]
[10,1,2,9,8,4,3,5,6,7]=>[10,1,4,8,3,5,6,9,2,7]
[9,1,2,8,7,4,5,6,3,10]=>[9,1,6,7,4,5,8,2,3,10]
[10,1,9,2,4,8,3,6,7,5]=>[10,9,8,2,7,3,6,4,1,5]
[10,1,9,2,8,3,4,5,6,7]=>[10,9,8,3,4,5,6,2,1,7]
[9,1,8,2,7,3,5,6,4,10]=>[9,8,7,6,3,5,2,1,4,10]
[10,1,9,8,3,2,6,4,5,7]=>[10,3,8,6,4,2,5,9,1,7]
[9,1,8,7,3,2,4,5,6,10]=>[9,3,7,2,4,5,8,1,6,10]
[8,10,1,3,4,9,2,7,6,5]=>[10,9,1,3,6,7,2,8,4,5]
[7,10,1,3,9,2,6,4,5,8]=>[10,9,1,6,4,2,7,5,3,8]
[10,9,1,3,4,8,2,6,7,5]=>[9,8,1,3,7,2,6,4,10,5]
[10,9,1,3,8,2,4,5,6,7]=>[9,8,1,2,4,5,6,3,10,7]
[9,8,1,3,7,2,5,6,4,10]=>[8,7,1,6,2,5,3,9,4,10]
[10,9,1,8,2,3,6,4,5,7]=>[9,8,2,6,4,3,5,1,10,7]
[9,8,1,7,2,3,4,5,6,10]=>[8,7,2,3,4,5,1,9,6,10]
[7,8,10,1,2,3,4,5,6,9]=>[10,1,2,3,4,5,7,8,6,9]
[6,7,8,10,1,2,3,4,5,9]=>[10,1,2,3,4,6,7,8,5,9]
[4,5,6,7,8,10,1,2,3,9]=>[10,1,2,4,5,6,7,8,3,9]
[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2]
[5,6,4,7,3,9,2,8,1,10]=>[8,9,7,6,5,4,3,2,1,10]
[1,6,7,5,8,4,10,3,9,2]=>[1,9,10,8,7,6,5,4,3,2]
[1,2,3,4,5,6,8,10,7,9]=>[1,2,3,4,5,6,10,8,7,9]
[1,2,3,4,5,7,9,6,8,10]=>[1,2,3,4,5,9,7,6,8,10]
[1,2,3,4,6,8,10,5,7,9]=>[1,2,3,4,10,6,5,8,7,9]
[1,2,3,5,7,9,4,6,8,10]=>[1,2,3,9,5,4,7,6,8,10]
[1,2,4,6,8,10,3,5,7,9]=>[1,2,10,4,3,6,5,8,7,9]
[1,3,5,7,9,2,4,6,8,10]=>[1,9,3,2,5,4,7,6,8,10]
[3,4,5,6,7,8,9,2,1,10]=>[2,9,3,4,5,6,7,8,1,10]
[5,6,7,9,8,1,2,3,4,10]=>[8,1,2,3,5,6,7,9,4,10]
[1,6,7,8,10,9,2,3,4,5]=>[1,9,2,3,4,6,7,8,10,5]
[8,9,10,4,5,6,2,3,1,7]=>[3,6,2,10,4,5,1,8,9,7]
[8,9,4,5,6,10,2,3,1,7]=>[3,10,2,9,4,5,1,8,6,7]
[8,9,10,4,5,2,3,6,1,7]=>[6,5,2,10,4,3,1,8,9,7]
[8,9,4,5,10,2,3,6,1,7]=>[6,10,2,9,4,3,1,8,5,7]
[8,9,4,5,2,3,6,10,1,7]=>[10,5,2,9,4,3,1,8,6,7]
[8,4,5,9,10,2,3,6,1,7]=>[6,10,2,8,4,3,1,5,9,7]
[8,4,5,9,2,3,6,10,1,7]=>[10,9,2,8,4,3,1,5,6,7]
[8,9,10,4,5,6,2,1,3,7]=>[2,6,1,10,4,5,3,8,9,7]
[8,9,4,5,6,10,2,1,3,7]=>[2,10,1,9,4,5,3,8,6,7]
[8,9,10,4,5,2,6,1,3,7]=>[6,5,1,10,4,2,3,8,9,7]
[8,9,4,5,10,2,6,1,3,7]=>[6,10,1,9,4,2,3,8,5,7]
[8,9,4,5,2,6,10,1,3,7]=>[10,5,1,9,4,2,3,8,6,7]
[8,4,5,9,10,2,6,1,3,7]=>[6,10,1,8,4,2,3,5,9,7]
[8,4,5,9,2,6,10,1,3,7]=>[10,9,1,8,4,2,3,5,6,7]
[8,9,10,4,5,2,1,3,6,7]=>[2,5,1,10,4,3,6,8,9,7]
[8,9,4,5,10,2,1,3,6,7]=>[2,10,1,9,4,3,6,8,5,7]
[8,9,4,5,2,10,1,3,6,7]=>[10,5,1,9,4,3,6,8,2,7]
[8,9,4,5,2,1,3,6,10,7]=>[2,5,1,9,4,3,10,8,6,7]
[8,4,5,9,10,2,1,3,6,7]=>[2,10,1,8,4,3,6,5,9,7]
[8,4,5,9,2,10,1,3,6,7]=>[10,9,1,8,4,3,6,5,2,7]
[8,4,5,9,2,1,3,6,10,7]=>[2,9,1,8,4,3,10,5,6,7]
[8,9,10,4,2,5,6,1,3,7]=>[6,4,1,10,2,5,3,8,9,7]
[8,9,4,10,2,5,6,1,3,7]=>[6,10,1,9,2,5,3,8,4,7]
[8,9,4,2,5,6,10,1,3,7]=>[10,4,1,9,2,5,3,8,6,7]
[8,4,9,10,2,5,6,1,3,7]=>[6,10,1,8,2,5,3,4,9,7]
[8,4,9,2,5,6,10,1,3,7]=>[10,9,1,8,2,5,3,4,6,7]
[8,9,10,4,2,5,1,3,6,7]=>[5,4,1,10,2,3,6,8,9,7]
[8,9,4,10,2,5,1,3,6,7]=>[5,10,1,9,2,3,6,8,4,7]
[8,9,4,2,5,10,1,3,6,7]=>[10,4,1,9,2,3,6,8,5,7]
[8,9,4,2,5,1,3,6,10,7]=>[5,4,1,9,2,3,10,8,6,7]
[8,4,9,10,2,5,1,3,6,7]=>[5,10,1,8,2,3,6,4,9,7]
[8,4,9,2,5,1,3,6,10,7]=>[5,9,1,8,2,3,10,4,6,7]
[8,4,2,5,9,10,1,3,6,7]=>[10,4,1,8,2,3,6,5,9,7]
[8,4,2,5,9,1,3,6,10,7]=>[9,4,1,8,2,3,10,5,6,7]
[4,8,9,10,2,5,6,1,3,7]=>[6,10,1,4,2,5,3,8,9,7]
[4,8,9,2,5,6,10,1,3,7]=>[10,9,1,4,2,5,3,8,6,7]
[4,8,9,10,2,5,1,3,6,7]=>[5,10,1,4,2,3,6,8,9,7]
[4,8,9,2,5,10,1,3,6,7]=>[10,9,1,4,2,3,6,8,5,7]
[4,8,9,2,5,1,3,6,10,7]=>[5,9,1,4,2,3,10,8,6,7]
[4,8,2,5,9,10,1,3,6,7]=>[10,8,1,4,2,3,6,5,9,7]
[4,8,2,5,9,1,3,6,10,7]=>[9,8,1,4,2,3,10,5,6,7]
[4,8,9,10,5,6,7,2,3,1]=>[3,7,2,4,10,5,6,8,9,1]
[7,8,9,10,2,5,6,3,4,1]=>[4,10,6,3,2,5,7,8,9,1]
[5,8,9,10,2,6,7,3,4,1]=>[4,10,7,3,5,2,6,8,9,1]
[2,8,9,10,3,6,7,4,5,1]=>[5,2,10,7,4,3,6,8,9,1]
[5,6,9,10,2,7,8,3,4,1]=>[4,10,8,3,5,6,2,7,9,1]
[2,6,9,10,3,7,8,4,5,1]=>[5,2,10,8,4,6,3,7,9,1]
[7,8,9,10,4,5,6,1,3,2]=>[6,3,1,10,4,5,7,8,9,2]
[4,8,9,10,5,6,7,1,3,2]=>[7,3,1,4,10,5,6,8,9,2]
[7,8,9,10,3,5,6,1,4,2]=>[6,4,10,1,3,5,7,8,9,2]
[5,8,9,10,3,6,7,1,4,2]=>[7,4,10,1,5,3,6,8,9,2]
[3,8,9,10,4,6,7,1,5,2]=>[7,5,3,10,1,4,6,8,9,2]
[5,6,9,10,3,7,8,1,4,2]=>[8,4,10,1,5,6,3,7,9,2]
[3,6,9,10,4,7,8,1,5,2]=>[8,5,3,10,1,6,4,7,9,2]
[7,8,9,10,1,5,6,2,4,3]=>[10,6,4,2,1,5,7,8,9,3]
[5,8,9,10,1,6,7,2,4,3]=>[10,7,4,2,5,1,6,8,9,3]
[4,8,9,10,1,6,7,2,5,3]=>[10,7,5,4,2,1,6,8,9,3]
[1,8,9,10,2,6,7,3,5,4]=>[1,10,7,5,3,2,6,8,9,4]
[5,6,9,10,1,7,8,2,4,3]=>[10,8,4,2,5,6,1,7,9,3]
[4,6,9,10,1,7,8,2,5,3]=>[10,8,5,4,2,6,1,7,9,3]
[1,6,9,10,2,7,8,3,5,4]=>[1,10,8,5,3,6,2,7,9,4]
[7,8,9,10,3,4,6,1,5,2]=>[6,5,10,3,1,4,7,8,9,2]
[6,8,9,10,3,4,7,1,5,2]=>[7,5,10,3,1,6,4,8,9,2]
[3,8,9,10,4,5,7,1,6,2]=>[7,6,3,10,4,1,5,8,9,2]
[6,7,9,10,3,4,8,1,5,2]=>[8,5,10,3,1,6,7,4,9,2]
[3,7,9,10,4,5,8,1,6,2]=>[8,6,3,10,4,1,7,5,9,2]
[7,8,9,10,1,4,6,2,5,3]=>[10,6,5,1,2,4,7,8,9,3]
[6,8,9,10,1,4,7,2,5,3]=>[10,7,5,1,2,6,4,8,9,3]
[4,8,9,10,1,5,7,2,6,3]=>[10,7,6,4,1,2,5,8,9,3]
[1,8,9,10,2,5,7,3,6,4]=>[1,10,7,6,2,3,5,8,9,4]
[6,7,9,10,1,4,8,2,5,3]=>[10,8,5,1,2,6,7,4,9,3]
[4,7,9,10,1,5,8,2,6,3]=>[10,8,6,4,1,2,7,5,9,3]
[1,7,9,10,2,5,8,3,6,4]=>[1,10,8,6,2,3,7,5,9,4]
[4,5,9,10,1,6,8,2,7,3]=>[10,8,7,4,5,1,2,6,9,3]
[1,5,9,10,2,6,8,3,7,4]=>[1,10,8,7,5,2,3,6,9,4]
[6,7,8,10,3,4,9,1,5,2]=>[9,5,10,3,1,6,7,8,4,2]
[3,7,8,10,4,5,9,1,6,2]=>[9,6,3,10,4,1,7,8,5,2]
[6,7,8,10,1,4,9,2,5,3]=>[10,9,5,1,2,6,7,8,4,3]
[4,7,8,10,1,5,9,2,6,3]=>[10,9,6,4,1,2,7,8,5,3]
[1,7,8,10,2,5,9,3,6,4]=>[1,10,9,6,2,3,7,8,5,4]
[4,5,8,10,1,6,9,2,7,3]=>[10,9,7,4,5,1,2,8,6,3]
[6,5,3,1,2,4,8,7,10,9]=>[3,1,5,2,6,4,8,7,10,9]
[8,7,5,3,1,2,4,6,10,9]=>[3,1,5,2,7,4,8,6,10,9]
[10,9,7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,9,6,10,8]
[7,5,3,1,2,4,6,9,8,10]=>[3,1,5,2,7,4,6,9,8,10]
[5,3,1,2,4,7,6,9,8,10]=>[3,1,5,2,4,7,6,9,8,10]
[2,1,4,3,6,5,9,7,10,8]=>[2,1,4,3,6,5,9,10,7,8]
[2,1,4,3,7,5,8,6,10,9]=>[2,1,4,3,7,8,5,6,10,9]
[2,1,4,3,7,5,9,6,10,8]=>[2,1,4,3,7,9,5,10,6,8]
[2,1,4,3,8,5,9,6,10,7]=>[2,1,4,3,8,9,10,5,6,7]
[2,1,5,3,6,4,8,7,10,9]=>[2,1,5,6,3,4,8,7,10,9]
[2,1,5,3,6,4,9,7,10,8]=>[2,1,5,6,3,4,9,10,7,8]
[2,1,5,3,7,4,8,6,10,9]=>[2,1,5,7,3,8,4,6,10,9]
[2,1,5,3,7,4,9,6,10,8]=>[2,1,5,7,3,9,4,10,6,8]
[2,1,5,3,8,4,9,6,10,7]=>[2,1,5,8,3,9,10,4,6,7]
[2,1,6,3,7,4,8,5,10,9]=>[2,1,6,7,8,3,4,5,10,9]
[2,1,6,3,7,4,9,5,10,8]=>[2,1,6,7,9,3,4,10,5,8]
[2,1,6,3,8,4,9,5,10,7]=>[2,1,6,8,9,3,10,4,5,7]
[2,1,7,3,8,4,9,5,10,6]=>[2,1,7,8,9,10,3,4,5,6]
[3,1,4,2,6,5,9,7,10,8]=>[3,4,1,2,6,5,9,10,7,8]
[3,1,4,2,7,5,8,6,10,9]=>[3,4,1,2,7,8,5,6,10,9]
[3,1,4,2,7,5,9,6,10,8]=>[3,4,1,2,7,9,5,10,6,8]
[3,1,4,2,8,5,9,6,10,7]=>[3,4,1,2,8,9,10,5,6,7]
[3,1,5,2,6,4,9,7,10,8]=>[3,5,1,6,2,4,9,10,7,8]
[3,1,5,2,8,4,9,6,10,7]=>[3,5,1,8,2,9,10,4,6,7]
[3,1,6,2,7,4,8,5,10,9]=>[3,6,1,7,8,2,4,5,10,9]
[3,1,6,2,7,4,9,5,10,8]=>[3,6,1,7,9,2,4,10,5,8]
[3,1,6,2,8,4,9,5,10,7]=>[3,6,1,8,9,2,10,4,5,7]
[3,1,7,2,8,4,9,5,10,6]=>[3,7,1,8,9,10,2,4,5,6]
[4,1,5,2,6,3,9,7,10,8]=>[4,5,6,1,2,3,9,10,7,8]
[4,1,5,2,7,3,8,6,10,9]=>[4,5,7,1,2,8,3,6,10,9]
[4,1,5,2,7,3,9,6,10,8]=>[4,5,7,1,2,9,3,10,6,8]
[4,1,5,2,8,3,9,6,10,7]=>[4,5,8,1,2,9,10,3,6,7]
[4,1,6,2,7,3,8,5,10,9]=>[4,6,7,1,8,2,3,5,10,9]
[4,1,6,2,7,3,9,5,10,8]=>[4,6,7,1,9,2,3,10,5,8]
[4,1,6,2,8,3,9,5,10,7]=>[4,6,8,1,9,2,10,3,5,7]
[4,1,7,2,8,3,9,5,10,6]=>[4,7,8,1,9,10,2,3,5,6]
[5,1,6,2,7,3,9,4,10,8]=>[5,6,7,9,1,2,3,10,4,8]
[5,1,6,2,8,3,9,4,10,7]=>[5,6,8,9,1,2,10,3,4,7]
[5,1,7,2,8,3,9,4,10,6]=>[5,7,8,9,1,10,2,3,4,6]
[10,3,9,8,7,6,5,1,4,2]=>[5,4,6,1,7,8,9,10,3,2]
[2,10,9,8,7,6,5,1,4,3]=>[5,2,4,1,6,7,8,9,10,3]
[8,3,10,9,7,6,1,5,4,2]=>[6,4,5,7,1,9,8,2,10,3]
[1,2,10,3,9,4,8,5,7,6]=>[1,2,10,9,8,7,5,4,3,6]
[1,8,2,9,3,7,4,6,5,10]=>[1,8,9,7,6,4,3,2,5,10]
[1,2,9,3,10,4,8,5,7,6]=>[1,2,9,10,8,7,5,4,3,6]
[9,3,4,5,6,7,1,2,10,8]=>[7,1,9,3,4,5,6,10,2,8]
[2,9,4,5,6,7,1,3,10,8]=>[7,2,1,9,4,5,6,10,3,8]
[7,3,4,5,6,1,9,2,10,8]=>[6,9,7,3,4,5,1,10,2,8]
[1,7,2,8,3,9,4,10,5,6]=>[1,7,8,9,10,5,2,3,4,6]
[1,7,2,8,3,9,10,4,5,6]=>[1,7,8,10,4,5,2,3,9,6]
[1,7,2,8,9,3,4,10,5,6]=>[1,7,9,3,10,5,2,8,4,6]
[1,7,2,8,9,3,10,4,5,6]=>[1,7,9,10,4,5,2,8,3,6]
[1,7,2,8,9,10,3,4,5,6]=>[1,7,10,3,4,5,2,8,9,6]
[1,7,8,2,3,9,4,10,5,6]=>[1,8,2,9,10,5,7,3,4,6]
[1,7,8,2,3,9,10,4,5,6]=>[1,8,2,10,4,5,7,3,9,6]
[1,7,8,2,9,3,4,10,5,6]=>[1,8,9,3,10,5,7,2,4,6]
[1,7,8,2,9,3,10,4,5,6]=>[1,8,9,10,4,5,7,2,3,6]
[1,7,8,2,9,10,3,4,5,6]=>[1,8,10,3,4,5,7,2,9,6]
[1,7,8,9,2,3,4,10,5,6]=>[1,9,2,3,10,5,7,8,4,6]
[1,7,8,9,2,3,10,4,5,6]=>[1,9,2,10,4,5,7,8,3,6]
[1,7,8,9,2,10,3,4,5,6]=>[1,9,10,3,4,5,7,8,2,6]
[7,1,2,8,3,9,4,10,5,6]=>[7,1,8,9,10,5,2,3,4,6]
[7,1,2,8,3,9,10,4,5,6]=>[7,1,8,10,4,5,2,3,9,6]
[7,1,2,8,9,3,4,10,5,6]=>[7,1,9,3,10,5,2,8,4,6]
[7,1,2,8,9,3,10,4,5,6]=>[7,1,9,10,4,5,2,8,3,6]
[7,1,2,8,9,10,3,4,5,6]=>[7,1,10,3,4,5,2,8,9,6]
[7,1,8,2,3,9,4,10,5,6]=>[7,8,2,9,10,5,1,3,4,6]
[7,1,8,2,3,9,10,4,5,6]=>[7,8,2,10,4,5,1,3,9,6]
[7,1,8,2,9,3,4,10,5,6]=>[7,8,9,3,10,5,1,2,4,6]
[7,1,8,2,9,10,3,4,5,6]=>[7,8,10,3,4,5,1,2,9,6]
[7,1,8,9,2,3,4,10,5,6]=>[7,9,2,3,10,5,1,8,4,6]
[7,1,8,9,2,3,10,4,5,6]=>[7,9,2,10,4,5,1,8,3,6]
[7,1,8,9,2,10,3,4,5,6]=>[7,9,10,3,4,5,1,8,2,6]
[7,1,8,9,10,2,3,4,5,6]=>[7,10,2,3,4,5,1,8,9,6]
[7,8,1,2,3,9,4,10,5,6]=>[8,1,2,9,10,5,7,3,4,6]
[7,8,1,2,3,9,10,4,5,6]=>[8,1,2,10,4,5,7,3,9,6]
[7,8,1,2,9,3,4,10,5,6]=>[8,1,9,3,10,5,7,2,4,6]
[7,8,1,2,9,3,10,4,5,6]=>[8,1,9,10,4,5,7,2,3,6]
[7,8,1,2,9,10,3,4,5,6]=>[8,1,10,3,4,5,7,2,9,6]
[7,8,1,9,2,3,4,10,5,6]=>[8,9,2,3,10,5,7,1,4,6]
[7,8,1,9,2,3,10,4,5,6]=>[8,9,2,10,4,5,7,1,3,6]
[7,8,1,9,2,10,3,4,5,6]=>[8,9,10,3,4,5,7,1,2,6]
[7,8,1,9,10,2,3,4,5,6]=>[8,10,2,3,4,5,7,1,9,6]
[7,8,9,1,2,3,4,10,5,6]=>[9,1,2,3,10,5,7,8,4,6]
[7,8,9,1,2,3,10,4,5,6]=>[9,1,2,10,4,5,7,8,3,6]
[7,8,9,1,2,10,3,4,5,6]=>[9,1,10,3,4,5,7,8,2,6]
[7,8,9,1,10,2,3,4,5,6]=>[9,10,2,3,4,5,7,8,1,6]
[6,7,3,1,8,2,4,9,5,10]=>[3,7,8,1,9,6,2,4,5,10]
[2,6,7,3,1,4,8,5,9,10]=>[3,2,7,1,8,6,4,5,9,10]
[7,8,2,4,1,9,3,5,10,6]=>[4,8,9,2,3,10,7,1,5,6]
[3,2,7,8,4,1,5,9,6,10]=>[4,3,2,8,1,9,7,5,6,10]
[2,8,9,5,1,6,3,10,7,4]=>[5,2,9,6,7,3,10,8,4,1]
[8,3,2,5,6,1,9,4,10,7]=>[6,3,8,9,2,5,10,1,4,7]
[4,3,2,8,9,5,1,6,10,7]=>[5,3,4,2,9,1,10,8,6,7]
[1,8,9,10,7,6,5,4,3,2]=>[1,3,4,5,6,7,10,8,9,2]
[1,7,8,9,10,6,5,4,3,2]=>[1,3,4,5,6,10,7,8,9,2]
[1,6,7,8,9,10,5,4,3,2]=>[1,3,4,5,10,6,7,8,9,2]
[1,5,6,7,8,9,10,4,3,2]=>[1,3,4,10,5,6,7,8,9,2]
[1,4,5,6,7,8,9,10,3,2]=>[1,3,10,4,5,6,7,8,9,2]
[9,2,10,1,3,4,5,6,7,8]=>[10,9,1,3,4,5,6,7,2,8]
[10,9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,10,8]
[8,2,9,10,1,3,4,5,6,7]=>[10,8,1,3,4,5,6,2,9,7]
[8,10,2,9,1,3,4,5,6,7]=>[9,10,1,3,4,5,6,8,2,7]
[10,8,2,9,1,3,4,5,6,7]=>[9,8,1,3,4,5,6,10,2,7]
[10,9,8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,9,10,7]
[7,2,8,9,10,1,3,4,5,6]=>[10,7,1,3,4,5,2,8,9,6]
[7,10,2,8,9,1,3,4,5,6]=>[9,10,1,3,4,5,7,2,8,6]
[10,7,2,8,9,1,3,4,5,6]=>[9,7,1,3,4,5,10,2,8,6]
[9,7,10,2,8,1,3,4,5,6]=>[8,10,1,3,4,5,9,2,7,6]
[10,9,7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,9,2,10,6]
[10,9,8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,9,10,6]
[6,10,2,7,8,9,1,3,4,5]=>[9,10,1,3,4,6,2,7,8,5]
[10,6,2,7,8,9,1,3,4,5]=>[9,6,1,3,4,10,2,7,8,5]
[6,9,10,2,7,8,1,3,4,5]=>[8,10,1,3,4,6,2,7,9,5]
[10,9,6,2,7,8,1,3,4,5]=>[8,6,1,3,4,9,2,7,10,5]
[8,10,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,10,2,8,6,5]
[10,8,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,8,2,10,6,5]
[10,9,8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,9,10,5]
[10,9,8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,9,10,5]
[8,10,5,9,2,6,7,1,3,4]=>[7,9,1,3,10,2,6,8,5,4]
[10,8,5,9,2,6,7,1,3,4]=>[7,9,1,3,8,2,6,10,5,4]
[10,9,8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,9,10,4]
[9,7,10,5,8,2,6,1,3,4]=>[6,8,1,3,10,2,9,5,7,4]
[10,9,7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,9,5,10,4]
[10,9,8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,9,10,4]
[10,9,8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,9,10,4]
[10,9,8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,9,10,3]
[10,9,8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,9,10,3]
[9,10,6,4,2,1,3,5,8,7]=>[2,4,1,6,3,10,8,5,9,7]
[10,7,8,4,2,1,3,6,5,9]=>[2,4,1,8,6,3,10,7,5,9]
[9,7,10,4,2,1,3,6,8,5]=>[2,4,1,10,8,3,9,6,7,5]
[8,9,10,4,2,1,3,7,6,5]=>[2,4,1,10,6,7,3,8,9,5]
[10,8,5,6,2,1,4,3,7,9]=>[2,6,4,1,8,5,3,10,7,9]
[9,10,5,6,2,1,4,3,8,7]=>[2,6,4,1,10,5,8,3,9,7]
[10,7,5,8,2,1,4,6,3,9]=>[2,8,6,1,7,4,10,5,3,9]
[9,7,5,10,2,1,4,6,8,3]=>[2,10,8,1,7,4,9,6,5,3]
[8,9,5,10,2,1,4,7,6,3]=>[2,10,6,1,7,9,4,8,3,5]
[10,6,7,8,2,1,5,4,3,9]=>[2,8,4,5,1,10,6,7,3,9]
[9,6,7,10,2,1,5,4,8,3]=>[2,10,8,5,1,9,6,4,7,3]
[8,6,9,10,2,1,5,7,4,3]=>[2,10,4,7,1,8,5,6,9,3]
[7,8,9,10,2,1,6,5,4,3]=>[2,10,4,5,6,1,7,8,9,3]
[10,8,6,3,4,2,1,5,7,9]=>[2,4,6,3,1,8,5,10,7,9]
[9,10,6,3,4,2,1,5,8,7]=>[2,4,6,3,1,10,8,5,9,7]
[10,7,8,3,4,2,1,6,5,9]=>[2,4,8,3,6,1,10,7,5,9]
[9,7,10,3,4,2,1,6,8,5]=>[2,4,10,3,8,1,9,6,7,5]
[8,9,10,3,4,2,1,7,6,5]=>[2,4,10,3,6,7,1,8,9,5]
[10,8,5,3,6,2,4,1,7,9]=>[4,6,5,2,8,3,1,10,7,9]
[9,10,5,3,6,2,4,1,8,7]=>[4,6,5,2,10,3,8,1,9,7]
[10,7,5,3,8,2,4,6,1,9]=>[6,8,5,2,7,4,10,3,1,9]
[9,7,5,3,10,2,4,6,8,1]=>[8,10,5,2,7,4,9,6,3,1]
[8,9,5,3,10,2,4,7,6,1]=>[6,7,5,3,10,9,4,8,1,2]
[10,6,7,3,8,2,5,4,1,9]=>[4,5,8,7,3,10,6,1,2,9]
[9,6,7,3,10,2,5,4,8,1]=>[8,10,7,5,2,9,6,4,3,1]
[8,6,9,3,10,2,5,7,4,1]=>[4,7,10,9,3,8,5,6,1,2]
[7,8,9,3,10,2,6,5,4,1]=>[4,5,6,10,9,1,7,8,2,3]
[10,8,4,5,6,3,2,1,7,9]=>[2,3,6,8,4,5,1,10,7,9]
[9,10,4,5,6,3,2,1,8,7]=>[2,3,6,10,4,5,8,1,9,7]
[10,7,4,5,8,3,2,6,1,9]=>[6,3,8,7,4,2,10,5,1,9]
[9,7,4,5,10,3,2,6,8,1]=>[8,3,10,7,4,2,9,6,5,1]
[8,9,4,5,10,3,2,7,6,1]=>[6,3,7,10,1,9,4,8,5,2]
[10,6,4,7,8,3,5,2,1,9]=>[2,5,8,6,3,10,4,7,1,9]
[9,6,4,7,10,3,5,2,8,1]=>[8,5,10,6,3,9,4,2,7,1]
[8,6,4,9,10,3,5,7,2,1]=>[2,7,10,6,3,8,5,4,9,1]
[7,8,4,9,10,3,6,5,2,1]=>[2,5,6,10,8,4,7,1,9,3]
[10,5,6,7,8,4,3,2,1,9]=>[2,3,4,8,10,5,6,7,1,9]
[9,5,6,7,10,4,3,2,8,1]=>[8,3,4,10,9,5,6,2,7,1]
[8,5,6,9,10,4,3,7,2,1]=>[2,7,4,10,8,5,3,6,9,1]
[7,5,8,9,10,4,6,3,2,1]=>[2,3,6,10,7,4,5,8,9,1]
[2,10,4,5,6,7,9,1,3,8]=>[9,2,1,10,4,5,6,3,7,8]
[10,3,4,5,6,7,1,9,2,8]=>[7,9,10,3,4,5,6,2,1,8]
[9,4,1,5,6,7,8,2,10,3]=>[4,9,8,10,2,5,6,7,3,1]
[2,3,10,5,6,7,9,1,4,8]=>[9,2,3,1,10,5,6,4,7,8]
[9,10,4,5,6,7,1,2,3,8]=>[7,1,2,10,4,5,6,3,9,8]
[7,3,4,5,6,1,10,9,2,8]=>[6,9,7,3,4,5,1,2,10,8]
[4,3,1,10,6,7,8,9,2,5]=>[3,4,9,2,1,10,6,7,8,5]
[9,10,1,5,6,7,8,2,3,4]=>[10,8,2,3,1,5,6,7,9,4]
[8,4,1,5,6,7,2,9,10,3]=>[4,8,7,10,2,5,6,3,9,1]
[8,7,6,5,9,4,3,2,1,10]=>[2,3,4,9,6,7,8,5,1,10]
[7,6,5,1,9,2,8,3,10,4]=>[5,6,7,9,8,10,3,4,1,2]
[4,5,6,9,1,8,2,10,3,7]=>[9,8,10,4,5,6,3,1,2,7]
[9,6,5,1,8,2,7,3,10,4]=>[5,6,9,8,7,10,4,3,1,2]
[4,5,9,1,8,2,7,3,10,6]=>[9,8,7,4,5,10,2,1,3,6]
[4,5,8,1,7,6,2,10,3,9]=>[8,6,7,4,5,10,1,3,2,9]
[9,3,4,8,1,7,2,5,10,6]=>[8,7,9,3,2,10,1,4,5,6]
[8,3,4,7,6,1,10,2,5,9]=>[6,7,10,1,3,8,4,2,5,9]
[7,6,5,1,10,2,8,3,9,4]=>[5,6,7,10,8,9,3,4,1,2]
[4,5,6,10,1,8,2,9,3,7]=>[10,8,9,4,5,6,3,1,2,7]
[8,6,5,1,10,2,7,3,9,4]=>[5,6,8,10,7,9,4,3,1,2]
[4,5,8,1,10,2,7,3,9,6]=>[8,10,7,4,5,9,2,1,3,6]
[4,5,7,1,10,6,2,9,3,8]=>[7,6,10,4,5,9,1,2,3,8]
[8,3,4,10,1,7,2,5,9,6]=>[10,7,8,3,2,9,1,4,5,6]
[7,3,4,10,6,1,9,2,5,8]=>[6,10,9,1,3,7,4,5,2,8]
[10,6,5,1,9,2,7,3,8,4]=>[5,6,10,9,7,8,4,1,3,2]
[4,5,10,1,9,2,7,3,8,6]=>[10,9,7,4,5,8,2,3,1,6]
[4,5,10,1,9,6,2,8,3,7]=>[10,6,9,4,5,8,2,3,1,7]
[4,5,9,1,8,6,2,7,3,10]=>[9,6,8,4,5,7,3,1,2,10]
[10,3,4,9,1,7,2,5,8,6]=>[9,7,10,3,2,8,1,5,4,6]
[10,3,4,9,6,1,8,2,5,7]=>[6,9,8,1,3,10,5,2,4,7]
[9,3,4,8,6,1,7,2,5,10]=>[6,8,7,1,3,9,2,4,5,10]
[8,5,1,7,2,10,6,3,9,4]=>[5,8,7,6,10,9,2,3,1,4]
[4,8,1,7,2,10,6,3,9,5]=>[8,7,6,4,10,9,1,2,5,3]
[4,7,6,1,10,5,2,9,3,8]=>[6,5,7,4,10,9,3,1,2,8]
[8,3,7,1,10,6,2,4,9,5]=>[7,6,10,3,8,9,5,1,4,2]
[7,6,3,10,5,1,9,2,4,8]=>[5,10,9,3,6,7,1,4,2,8]
[10,5,1,7,2,9,6,3,8,4]=>[5,10,7,6,9,8,2,1,3,4]
[4,10,1,7,2,9,6,3,8,5]=>[10,7,6,4,9,8,1,5,2,3]
[4,10,6,1,9,5,2,8,3,7]=>[6,5,10,4,9,8,1,2,3,7]
[4,9,6,1,8,5,2,7,3,10]=>[6,5,9,4,8,7,2,3,1,10]
[10,3,7,1,9,6,2,4,8,5]=>[7,6,9,3,10,8,5,4,1,2]
[10,6,3,9,5,1,8,2,4,7]=>[5,9,8,3,6,10,4,2,1,7]
[9,6,3,8,5,1,7,2,4,10]=>[5,8,7,3,6,9,2,1,4,10]
[5,10,3,4,1,9,2,8,6,7]=>[4,9,10,3,5,8,6,2,1,7]
[5,9,3,4,1,8,2,7,6,10]=>[4,8,9,3,5,7,2,1,6,10]
[8,2,7,1,10,6,3,4,9,5]=>[7,8,6,3,10,9,2,1,5,4]
[7,6,2,10,5,1,9,3,4,8]=>[5,10,6,3,7,9,1,4,2,8]
[10,2,7,1,9,6,3,4,8,5]=>[7,10,6,3,9,8,2,5,1,4]
[10,6,2,9,5,1,8,3,4,7]=>[5,9,6,3,10,8,4,2,1,7]
[9,6,2,8,5,1,7,3,4,10]=>[5,8,6,3,9,7,2,1,4,10]
[5,10,2,4,1,9,3,8,6,7]=>[4,10,9,2,5,8,6,3,1,7]
[5,9,2,4,1,8,3,7,6,10]=>[4,9,8,2,5,7,3,1,6,10]
[10,9,8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,9,10,7]
[10,8,7,6,4,2,1,3,5,9]=>[2,4,1,6,3,7,8,10,5,9]
[10,7,9,6,4,2,1,3,8,5]=>[2,4,1,6,9,8,10,5,7,3]
[10,9,8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,9,10,5]
[10,8,6,5,4,2,1,3,7,9]=>[2,4,1,5,6,8,3,10,7,9]
[10,9,8,6,5,4,2,1,3,7]=>[2,4,1,5,6,8,3,9,10,7]
[10,8,5,7,4,2,1,6,3,9]=>[2,4,7,6,8,3,5,10,1,9]
[10,5,9,7,4,2,1,6,8,3]=>[2,4,7,9,8,1,10,6,3,5]
[10,9,8,5,7,4,2,1,6,3]=>[2,4,7,6,8,3,5,9,10,1]
[10,8,7,6,5,4,2,1,3,9]=>[2,4,1,5,6,7,8,10,3,9]
[10,7,9,6,5,4,2,1,8,3]=>[2,4,5,6,9,8,10,3,7,1]
[10,6,9,8,5,7,2,1,4,3]=>[2,7,4,1,8,9,6,10,5,3]
[10,8,6,4,3,2,1,5,7,9]=>[2,3,4,6,1,8,5,10,7,9]
[10,9,8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,9,10,7]
[10,8,7,6,4,3,2,1,5,9]=>[2,3,4,6,1,7,8,10,5,9]
[10,7,9,6,4,3,2,1,8,5]=>[2,3,4,6,9,8,10,5,7,1]
[10,8,6,3,5,2,4,1,7,9]=>[4,5,6,2,3,8,1,10,7,9]
[10,9,8,6,3,5,2,4,1,7]=>[4,5,6,2,3,8,1,9,10,7]
[10,8,3,7,5,2,4,6,1,9]=>[6,5,7,3,8,4,2,10,1,9]
[10,3,9,7,5,2,4,6,8,1]=>[8,5,7,2,9,4,10,6,3,1]
[10,9,8,3,7,5,2,4,6,1]=>[6,5,7,3,8,4,2,9,10,1]
[10,8,7,6,3,5,2,4,1,9]=>[4,5,6,2,3,7,8,10,1,9]
[10,7,9,6,3,5,2,4,8,1]=>[8,5,6,2,3,9,10,4,7,1]
[10,9,3,8,6,5,2,7,4,1]=>[4,7,5,6,8,9,3,1,10,2]
[10,9,8,7,6,3,5,2,4,1]=>[4,5,6,2,3,7,8,9,10,1]
[10,8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,10,7,9]
[10,8,5,7,4,3,2,6,1,9]=>[6,3,4,7,8,2,5,10,1,9]
[10,5,9,7,4,3,2,6,8,1]=>[8,3,4,7,9,5,10,6,2,1]
[10,9,8,5,7,4,3,2,6,1]=>[6,3,4,7,8,2,5,9,10,1]
[10,8,4,7,6,3,5,2,1,9]=>[2,5,6,7,4,8,3,10,1,9]
[10,4,9,7,6,3,5,2,8,1]=>[8,5,6,7,3,9,10,2,4,1]
[10,4,9,6,8,3,5,7,2,1]=>[2,7,8,10,3,9,5,6,4,1]
[10,9,8,4,7,6,3,5,2,1]=>[2,5,6,7,4,8,3,9,10,1]
[10,7,9,6,5,4,3,2,8,1]=>[8,3,4,5,6,9,10,2,7,1]
[10,6,9,8,5,4,3,7,2,1]=>[2,7,4,5,8,9,6,10,3,1]
[10,5,9,8,7,4,6,3,2,1]=>[2,3,6,7,8,4,9,10,5,1]
[5,9,8,7,6,4,10,3,2,1]=>[2,3,10,6,5,7,8,9,4,1]
[10,9,8,6,1,5,4,3,2,7]=>[6,3,4,5,1,8,2,9,10,7]
[1,10,4,5,6,7,2,8,3,9]=>[1,7,8,10,4,5,6,2,3,9]
[1,10,7,2,8,3,9,4,5,6]=>[1,7,10,8,2,5,9,3,4,6]
[1,10,4,5,6,9,3,8,2,7]=>[1,8,9,10,4,5,2,3,6,7]
[1,10,6,9,3,8,2,7,4,5]=>[1,8,9,7,4,10,2,3,6,5]
[1,10,9,3,7,2,6,8,4,5]=>[1,7,9,8,4,2,3,6,10,5]
[1,10,6,9,5,4,3,8,2,7]=>[1,8,4,5,9,10,2,3,6,7]
[1,10,9,5,4,3,7,2,6,8]=>[1,7,4,5,9,2,3,6,10,8]
[1,9,3,10,4,5,6,7,2,8]=>[1,7,9,10,4,5,6,2,3,8]
[1,9,3,10,7,2,8,4,5,6]=>[1,7,10,9,2,5,8,3,4,6]
[1,9,3,10,4,5,6,8,2,7]=>[1,8,9,10,4,5,2,6,3,7]
[1,9,3,10,6,8,2,7,4,5]=>[1,8,9,7,4,10,2,6,3,5]
[1,9,3,10,8,2,6,7,4,5]=>[1,8,10,7,4,3,6,9,2,5]
[1,9,5,4,3,10,6,8,2,7]=>[1,8,4,5,9,10,2,6,3,7]
[1,9,5,4,3,10,8,2,6,7]=>[1,8,4,5,10,3,6,9,2,7]
[1,8,2,7,3,9,4,5,6,10]=>[1,8,7,9,4,5,2,3,6,10]
[1,8,2,6,10,7,3,9,4,5]=>[1,8,7,10,3,2,9,6,4,5]
[1,7,2,6,9,3,8,4,5,10]=>[1,7,9,8,4,2,6,3,5,10]
[1,8,2,7,3,9,5,4,6,10]=>[1,8,7,5,9,4,2,3,6,10]
[1,8,2,6,10,7,3,9,5,4]=>[1,8,7,5,10,2,9,6,4,3]
[1,7,2,6,9,5,4,3,8,10]=>[1,7,4,5,9,2,6,3,8,10]
[1,9,3,10,4,5,7,2,6,8]=>[1,7,9,10,4,2,5,6,3,8]
[1,9,3,10,5,7,2,6,8,4]=>[1,7,9,8,10,2,5,6,3,4]
[1,9,3,10,8,2,5,6,7,4]=>[1,8,10,7,3,5,6,9,2,4]
[1,9,4,3,10,5,7,2,6,8]=>[1,7,4,9,10,2,5,6,3,8]
[1,9,4,3,10,8,2,5,6,7]=>[1,8,4,10,3,5,6,9,2,7]
[1,8,2,6,10,4,5,7,3,9]=>[1,8,7,10,4,2,5,6,3,9]
[1,8,2,6,10,5,7,3,9,4]=>[1,8,7,9,10,2,5,6,3,4]
[1,8,2,5,6,10,7,3,9,4]=>[1,8,7,10,2,5,9,6,4,3]
[1,7,2,5,6,9,3,8,4,10]=>[1,7,9,8,2,5,6,3,4,10]
[1,7,2,5,6,9,4,3,8,10]=>[1,7,4,9,2,5,6,3,8,10]
[1,8,2,4,3,9,6,10,7,5]=>[1,8,4,2,7,10,9,3,5,6]
[1,9,4,2,6,8,3,10,5,7]=>[1,4,9,8,10,3,5,6,2,7]
[1,9,4,2,5,6,7,3,10,8]=>[1,4,9,7,3,5,6,10,2,8]
[1,8,3,9,4,2,6,10,5,7]=>[1,4,9,8,10,3,5,2,6,7]
[1,8,3,9,4,2,5,6,10,7]=>[1,4,9,8,3,5,10,2,6,7]
[1,8,3,9,6,10,7,2,4,5]=>[1,7,10,3,4,8,9,6,2,5]
[10,2,1,8,4,3,6,5,7,9]=>[2,10,4,8,6,3,5,1,7,9]
[10,2,1,9,4,3,6,5,7,8]=>[2,10,4,9,6,3,5,7,1,8]
[10,2,1,8,4,3,7,5,6,9]=>[2,10,4,8,7,5,3,1,6,9]
[10,2,1,9,4,3,7,5,6,8]=>[2,10,4,9,7,5,3,6,1,8]
[10,2,1,9,4,3,8,5,6,7]=>[2,10,4,9,8,5,6,3,1,7]
[10,2,1,8,3,6,5,4,7,9]=>[2,10,8,5,6,3,4,1,7,9]
[10,2,1,9,3,6,5,4,7,8]=>[2,10,9,5,6,3,4,7,1,8]
[10,2,1,8,3,7,5,4,6,9]=>[2,10,8,5,7,4,3,1,6,9]
[10,2,1,9,3,7,5,4,6,8]=>[2,10,9,5,7,4,3,6,1,8]
[10,2,1,9,3,8,5,4,6,7]=>[2,10,9,5,8,4,6,3,1,7]
[10,2,1,8,3,7,4,6,5,9]=>[2,10,8,7,6,4,3,1,5,9]
[10,2,1,9,3,7,4,6,5,8]=>[2,10,9,7,6,4,3,5,1,8]
[10,2,1,9,3,8,4,6,5,7]=>[2,10,9,8,6,4,5,3,1,7]
[10,2,1,9,3,8,4,7,5,6]=>[2,10,9,8,7,5,4,3,1,6]
[10,1,8,4,3,2,6,5,7,9]=>[10,3,4,8,6,2,5,1,7,9]
[10,1,9,4,3,2,6,5,7,8]=>[10,3,4,9,6,2,5,7,1,8]
[10,1,8,4,3,2,7,5,6,9]=>[10,3,4,8,7,5,2,1,6,9]
[10,1,9,4,3,2,7,5,6,8]=>[10,3,4,9,7,5,2,6,1,8]
[10,1,9,4,3,2,8,5,6,7]=>[10,3,4,9,8,5,6,2,1,7]
[10,1,8,3,2,6,5,4,7,9]=>[10,3,8,5,6,2,4,1,7,9]
[10,1,9,3,2,6,5,4,7,8]=>[10,3,9,5,6,2,4,7,1,8]
[10,1,8,3,2,7,5,4,6,9]=>[10,3,8,5,7,4,2,1,6,9]
[10,1,9,3,2,7,5,4,6,8]=>[10,3,9,5,7,4,2,6,1,8]
[10,1,9,3,2,8,5,4,6,7]=>[10,3,9,5,8,4,6,2,1,7]
[10,1,8,3,2,7,4,6,5,9]=>[10,3,8,7,6,4,2,1,5,9]
[10,1,9,3,2,7,4,6,5,8]=>[10,3,9,7,6,4,2,5,1,8]
[10,1,9,3,2,8,4,6,5,7]=>[10,3,9,8,6,4,5,2,1,7]
[10,1,9,3,2,8,4,7,5,6]=>[10,3,9,8,7,5,4,2,1,6]
[10,1,8,2,6,5,4,3,7,9]=>[10,8,4,5,6,2,3,1,7,9]
[10,1,9,2,6,5,4,3,7,8]=>[10,9,4,5,6,2,3,7,1,8]
[10,1,8,2,7,5,4,3,6,9]=>[10,8,4,5,7,3,2,1,6,9]
[10,1,9,2,7,5,4,3,6,8]=>[10,9,4,5,7,3,2,6,1,8]
[10,1,9,2,8,5,4,3,6,7]=>[10,9,4,5,8,3,6,2,1,7]
[10,1,8,2,7,4,3,6,5,9]=>[10,8,4,7,6,3,2,1,5,9]
[10,1,9,2,7,4,3,6,5,8]=>[10,9,4,7,6,3,2,5,1,8]
[10,1,9,2,8,4,3,6,5,7]=>[10,9,4,8,6,3,5,2,1,7]
[10,1,9,2,8,4,3,7,5,6]=>[10,9,4,8,7,5,3,2,1,6]
[10,1,8,2,7,3,6,5,4,9]=>[10,8,7,5,6,3,2,1,4,9]
[10,1,9,2,7,3,6,5,4,8]=>[10,9,7,5,6,3,2,4,1,8]
[10,1,9,2,8,3,6,5,4,7]=>[10,9,8,5,6,3,4,2,1,7]
[10,1,9,2,8,3,7,5,4,6]=>[10,9,8,5,7,4,3,2,1,6]
[3,2,5,4,7,6,10,1,8,9]=>[10,3,2,5,4,7,6,1,8,9]
[3,2,5,4,8,9,7,6,1,10]=>[6,3,2,5,4,7,9,8,1,10]
[3,2,5,4,8,10,7,1,6,9]=>[7,3,2,5,4,1,10,8,6,9]
[3,2,5,4,9,10,1,6,7,8]=>[10,3,2,5,4,1,6,7,9,8]
[3,2,6,7,5,4,9,8,1,10]=>[8,3,2,5,7,6,4,9,1,10]
[3,2,6,7,5,4,10,1,8,9]=>[10,3,2,5,7,6,4,1,8,9]
[3,2,6,8,5,9,7,4,1,10]=>[4,3,2,7,9,6,8,1,5,10]
[3,2,6,8,5,10,7,1,4,9]=>[7,3,2,1,10,6,8,4,5,9]
[3,2,6,9,5,10,1,4,7,8]=>[10,3,2,1,9,6,4,7,5,8]
[3,2,7,8,9,6,5,4,1,10]=>[4,3,2,5,6,9,7,8,1,10]
[3,2,7,8,10,6,5,1,4,9]=>[5,3,2,1,6,10,7,8,4,9]
[3,2,7,9,10,6,1,4,5,8]=>[6,3,2,1,4,10,7,5,9,8]
[3,2,8,9,10,1,4,5,6,7]=>[10,3,2,1,4,5,6,8,9,7]
[4,5,3,2,7,6,9,8,1,10]=>[8,3,5,4,2,7,6,9,1,10]
[4,5,3,2,7,6,10,1,8,9]=>[10,3,5,4,2,7,6,1,8,9]
[4,5,3,2,8,9,7,6,1,10]=>[6,3,5,4,2,7,9,8,1,10]
[4,5,3,2,8,10,7,1,6,9]=>[7,3,5,4,2,1,10,8,6,9]
[4,5,3,2,9,10,1,6,7,8]=>[10,3,5,4,2,1,6,7,9,8]
[4,6,3,7,5,2,9,8,1,10]=>[8,5,7,4,6,2,3,9,1,10]
[4,6,3,7,5,2,10,1,8,9]=>[10,5,7,4,6,2,3,1,8,9]
[4,6,3,8,5,9,7,2,1,10]=>[2,7,6,4,9,3,8,1,5,10]
[4,6,3,8,5,10,7,1,2,9]=>[7,1,6,4,10,3,8,2,5,9]
[4,6,3,9,5,10,1,2,7,8]=>[10,1,6,4,9,3,2,7,5,8]
[4,7,3,8,9,6,5,2,1,10]=>[2,5,6,4,9,7,3,8,1,10]
[4,7,3,8,10,6,5,1,2,9]=>[5,1,6,4,10,7,3,8,2,9]
[4,7,3,9,10,6,1,2,5,8]=>[6,1,10,4,3,7,2,5,9,8]
[4,8,3,9,10,1,2,5,6,7]=>[10,1,8,4,2,5,6,3,9,7]
[5,6,7,4,3,2,9,8,1,10]=>[8,3,4,7,5,6,2,9,1,10]
[5,6,7,4,3,2,10,1,8,9]=>[10,3,4,7,5,6,2,1,8,9]
[5,6,8,4,3,9,7,2,1,10]=>[2,7,4,9,5,6,8,1,3,10]
[5,6,8,4,3,10,7,1,2,9]=>[7,1,4,10,5,6,8,2,3,9]
[5,6,9,4,3,10,1,2,7,8]=>[10,1,4,9,5,6,2,7,3,8]
[5,7,8,4,9,6,3,2,1,10]=>[2,3,6,9,5,8,7,1,4,10]
[5,7,8,4,10,6,3,1,2,9]=>[3,1,6,10,5,8,7,2,4,9]
[5,7,9,4,10,6,1,2,3,8]=>[6,1,2,10,5,9,7,4,3,8]
[5,8,9,4,10,1,2,3,6,7]=>[10,1,2,9,5,3,6,8,4,7]
[6,7,8,9,5,4,3,2,1,10]=>[2,3,4,5,9,6,7,8,1,10]
[6,7,8,10,5,4,3,1,2,9]=>[3,1,4,5,10,6,7,8,2,9]
[6,7,9,10,5,4,1,2,3,8]=>[4,1,2,5,10,6,7,3,9,8]
[6,8,9,10,5,1,2,3,4,7]=>[5,1,2,3,10,6,4,8,9,7]
[2,3,4,5,8,9,10,1,6,7]=>[10,2,3,4,5,1,6,8,9,7]
[2,3,4,7,8,9,10,1,5,6]=>[10,2,3,4,1,5,7,8,9,6]
[2,3,6,7,8,9,10,1,4,5]=>[10,2,3,1,4,6,7,8,9,5]
[2,5,6,7,8,9,10,1,3,4]=>[10,2,1,3,5,6,7,8,9,4]
[1,2,4,8,5,10,9,7,3,6]=>[1,2,7,4,9,5,8,3,10,6]
[1,2,4,9,7,3,6,5,10,8]=>[1,2,7,4,6,3,9,10,5,8]
[1,2,4,8,5,10,9,6,3,7]=>[1,2,6,4,9,8,5,3,10,7]
[1,2,4,9,6,3,7,5,10,8]=>[1,2,6,4,9,7,5,10,3,8]
[1,2,4,9,6,3,8,5,10,7]=>[1,2,6,4,9,8,10,5,3,7]
[1,2,5,10,9,7,3,6,4,8]=>[1,2,7,6,5,3,9,4,10,8]
[1,2,5,10,8,4,9,7,3,6]=>[1,2,7,9,5,4,8,10,3,6]
[1,2,5,10,9,6,3,7,4,8]=>[1,2,6,9,5,7,4,3,10,8]
[1,2,5,10,8,4,9,6,3,7]=>[1,2,6,9,5,8,4,10,3,7]
[1,2,5,10,7,3,8,4,9,6]=>[1,2,7,10,5,8,9,4,6,3]
[1,2,6,3,7,4,8,5,10,9]=>[1,2,6,7,8,3,4,5,10,9]
[1,2,6,3,7,4,9,5,10,8]=>[1,2,6,7,9,3,4,10,5,8]
[1,2,6,3,8,4,9,5,10,7]=>[1,2,6,8,9,3,10,4,5,7]
[1,2,7,3,8,4,9,5,10,6]=>[1,2,7,8,9,10,3,4,5,6]
[1,3,6,2,4,8,5,10,9,7]=>[1,6,3,2,8,4,9,5,10,7]
[1,3,6,2,4,9,7,5,10,8]=>[1,6,3,2,7,4,9,10,5,8]
[1,3,7,2,4,8,5,10,9,6]=>[1,7,3,2,8,9,4,5,10,6]
[1,3,7,2,4,9,6,5,10,8]=>[1,7,3,2,6,9,4,10,5,8]
[1,3,8,5,10,7,2,4,9,6]=>[1,7,3,2,10,8,9,6,5,4]
[1,3,6,2,5,10,9,7,4,8]=>[1,6,3,7,2,5,9,4,10,8]
[1,3,6,2,5,10,8,4,9,7]=>[1,6,3,8,2,5,10,9,7,4]
[1,3,7,2,5,10,9,6,4,8]=>[1,7,3,6,2,9,5,4,10,8]
[1,3,7,2,5,10,8,4,9,6]=>[1,7,3,8,2,10,5,9,6,4]
[1,3,8,4,9,6,2,5,10,7]=>[1,6,3,9,4,8,10,2,5,7]
[1,3,7,2,6,4,8,5,10,9]=>[1,7,3,6,8,2,4,5,10,9]
[1,3,7,2,6,4,9,5,10,8]=>[1,7,3,6,9,2,4,10,5,8]
[1,3,8,4,9,5,10,7,2,6]=>[1,7,3,10,8,4,9,5,2,6]
[1,3,8,4,9,5,10,6,2,7]=>[1,6,3,10,8,9,4,5,2,7]
[1,4,8,3,6,2,5,10,9,7]=>[1,6,8,4,2,3,9,5,10,7]
[1,4,9,7,2,5,10,8,3,6]=>[1,7,9,4,3,2,8,10,5,6]
[1,4,8,3,7,2,5,10,9,6]=>[1,7,8,4,2,9,3,5,10,6]
[1,4,9,6,2,5,10,8,3,7]=>[1,6,9,4,3,8,2,10,5,7]
[1,4,9,6,2,5,10,7,3,8]=>[1,6,9,4,3,7,10,2,5,8]
[1,4,8,3,7,2,6,5,10,9]=>[1,7,8,4,6,2,3,5,10,9]
[1,4,9,5,10,8,3,7,2,6]=>[1,7,8,4,10,2,5,9,3,6]
[1,4,9,5,10,7,2,6,3,8]=>[1,7,6,4,10,5,9,3,2,8]
[1,4,9,5,10,6,2,7,3,8]=>[1,6,10,4,7,9,3,5,2,8]
[1,5,10,9,4,8,3,7,2,6]=>[1,7,8,9,5,2,3,4,10,6]
[1,5,10,8,3,7,2,6,4,9]=>[1,7,8,6,5,2,3,10,4,9]
[1,5,10,7,2,6,3,8,4,9]=>[1,7,6,10,5,4,8,3,2,9]
[1,5,10,6,2,7,3,8,4,9]=>[1,6,10,7,5,8,3,4,2,9]
[4,1,2,3,6,5,8,7,10,9]=>[4,1,2,3,6,5,8,7,10,9]
[8,1,2,3,4,5,6,9,7,10]=>[8,1,2,3,4,5,9,6,7,10]
[7,1,2,3,4,5,9,6,10,8]=>[7,1,2,3,4,9,5,10,6,8]
[5,1,2,3,7,4,9,6,10,8]=>[5,1,2,7,3,9,4,10,6,8]
[6,1,2,3,4,7,9,5,10,8]=>[6,1,2,3,9,4,7,10,5,8]
[4,1,2,5,7,3,9,6,10,8]=>[4,1,7,2,5,9,3,10,6,8]
[2,3,5,1,7,4,9,6,10,8]=>[5,2,3,7,1,9,4,10,6,8]
[3,10,2,1,9,8,7,6,5,4]=>[2,10,3,5,6,7,8,9,1,4]
[3,10,2,9,8,1,7,6,5,4]=>[8,9,3,5,6,7,2,10,1,4]
[3,10,2,9,8,7,6,1,5,4]=>[6,7,3,5,2,8,9,10,1,4]
[3,10,2,9,8,7,6,5,4,1]=>[4,5,3,6,7,8,9,10,1,2]
[4,10,9,3,2,1,8,7,6,5]=>[2,3,9,4,6,7,8,1,10,5]
[4,10,9,3,2,8,7,1,6,5]=>[7,3,8,4,6,2,9,1,10,5]
[4,10,9,3,2,8,7,6,5,1]=>[5,3,6,4,7,8,9,1,10,2]
[4,10,9,3,8,7,2,1,6,5]=>[2,7,8,4,6,3,9,1,10,5]
[4,10,9,3,8,7,2,6,5,1]=>[5,6,7,4,8,1,9,3,10,2]
[4,10,9,3,8,7,6,5,2,1]=>[2,5,6,4,7,8,9,1,10,3]
[5,10,9,8,4,3,2,1,7,6]=>[2,3,4,8,5,7,1,9,10,6]
[5,10,9,8,4,3,2,7,6,1]=>[6,3,4,7,5,8,1,9,10,2]
[5,10,9,8,4,3,7,6,2,1]=>[2,6,4,7,5,8,1,9,10,3]
[5,10,9,8,4,7,6,3,2,1]=>[2,3,6,7,5,8,1,9,10,4]
[3,4,2,5,6,7,8,9,10,1]=>[10,4,3,2,5,6,7,8,9,1]
[3,4,5,2,6,7,8,9,10,1]=>[10,5,3,4,2,6,7,8,9,1]
[3,4,5,6,7,2,8,9,10,1]=>[10,7,3,4,5,6,2,8,9,1]
[3,4,5,6,7,8,2,9,10,1]=>[10,8,3,4,5,6,7,2,9,1]
[3,5,2,1,6,7,8,9,10,4]=>[2,5,3,10,1,6,7,8,9,4]
[3,4,6,2,1,7,8,9,10,5]=>[2,6,3,4,10,1,7,8,9,5]
[3,4,5,7,1,2,8,9,10,6]=>[7,1,3,4,5,10,2,8,9,6]
[3,4,5,6,8,2,1,9,10,7]=>[2,8,3,4,5,6,10,1,9,7]
[3,4,5,6,7,9,2,1,10,8]=>[2,9,3,4,5,6,7,10,1,8]
[3,4,5,6,7,1,8,2,10,9]=>[7,8,3,4,5,6,1,2,10,9]
[1,4,5,6,10,7,8,2,9,3]=>[1,8,9,4,5,6,10,7,2,3]
[2,4,5,6,10,7,1,8,3,9]=>[7,2,10,4,5,6,8,3,1,9]
[3,4,5,6,8,7,1,10,2,9]=>[7,8,3,4,5,6,10,2,1,9]
[3,5,6,7,10,8,1,9,2,4]=>[8,10,3,1,5,6,7,9,2,4]
[1,4,5,9,6,7,2,8,10,3]=>[1,7,10,4,5,9,6,2,8,3]
[10,2,3,4,5,6,7,1,9,8]=>[7,10,2,3,4,5,6,9,1,8]
[10,2,3,4,5,6,1,8,9,7]=>[6,10,2,3,4,5,9,1,8,7]
[10,2,3,4,5,1,7,8,9,6]=>[5,10,2,3,4,9,1,7,8,6]
[10,2,3,4,1,6,7,8,9,5]=>[4,10,2,3,9,1,6,7,8,5]
[10,2,3,1,5,6,7,8,9,4]=>[3,10,2,9,1,5,6,7,8,4]
[10,2,1,4,5,6,7,8,9,3]=>[2,10,9,1,4,5,6,7,8,3]
[1,9,2,3,4,5,6,10,7,8]=>[1,9,2,3,4,5,10,7,6,8]
[8,1,2,3,4,5,6,10,7,9]=>[8,1,2,3,4,5,10,6,7,9]
[3,1,10,2,4,5,6,7,8,9]=>[3,10,1,2,4,5,6,7,8,9]
[7,9,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,7,6,9,8]
[2,3,4,5,6,7,1,9,8,10]=>[7,2,3,4,5,6,1,9,8,10]
[2,3,4,5,1,7,6,9,8,10]=>[5,2,3,4,1,7,6,9,8,10]
[3,4,5,6,7,8,10,1,9,2]=>[10,9,3,4,5,6,7,8,1,2]
[9,8,2,3,4,5,6,7,1,10]=>[7,8,2,3,4,5,6,9,1,10]
[1,10,9,3,4,5,6,7,8,2]=>[1,8,9,3,4,5,6,7,10,2]
[7,8,9,6,1,2,3,4,10,5]=>[6,1,2,3,9,10,7,8,5,4]
[2,8,9,10,7,1,3,4,5,6]=>[7,2,1,3,4,5,10,8,9,6]
[8,9,7,5,6,1,2,3,10,4]=>[6,1,2,10,7,5,9,8,3,4]
[2,9,10,8,6,7,1,3,4,5]=>[7,2,1,3,4,8,6,10,9,5]
[7,8,9,5,1,2,3,4,10,6]=>[5,1,2,3,9,10,7,8,4,6]
[7,8,9,1,6,2,3,4,10,5]=>[9,6,2,3,10,1,7,8,4,5]
[2,8,9,10,6,1,3,4,5,7]=>[6,2,1,3,4,10,5,8,9,7]
[2,8,9,10,1,7,3,4,5,6]=>[10,2,7,3,4,5,1,8,9,6]
[4,2,3,5,6,7,8,9,10,1]=>[10,4,2,3,5,6,7,8,9,1]
[8,9,7,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,9,8,7,2]
[9,10,6,7,5,8,3,4,1,2]=>[4,1,8,3,7,10,6,5,9,2]
[8,9,6,7,5,10,3,4,1,2]=>[4,1,10,3,7,9,6,8,5,2]
[7,8,6,9,5,10,3,4,1,2]=>[4,1,10,3,9,8,7,6,5,2]
[9,10,7,8,4,5,3,6,1,2]=>[6,1,5,8,4,3,10,7,9,2]
[8,9,7,10,4,5,3,6,1,2]=>[6,1,5,10,4,3,9,8,7,2]
[9,10,6,7,4,5,3,8,1,2]=>[8,1,5,7,4,10,6,3,9,2]
[9,10,5,6,4,7,3,8,1,2]=>[8,1,7,6,10,5,4,3,9,2]
[8,9,6,7,4,5,3,10,1,2]=>[10,1,5,7,4,9,6,8,3,2]
[7,8,6,9,4,5,3,10,1,2]=>[10,1,5,9,4,8,7,6,3,2]
[8,9,5,6,4,7,3,10,1,2]=>[10,1,7,6,9,5,4,8,3,2]
[7,8,5,6,4,9,3,10,1,2]=>[10,1,9,6,8,5,7,4,3,2]
[6,7,5,8,4,9,3,10,1,2]=>[10,1,9,8,7,6,5,4,3,2]
[9,10,7,8,5,6,2,3,1,4]=>[3,6,2,1,8,5,10,7,9,4]
[8,9,7,10,5,6,2,3,1,4]=>[3,6,2,1,10,5,9,8,7,4]
[9,10,6,7,5,8,2,3,1,4]=>[3,8,2,1,7,10,6,5,9,4]
[8,9,6,7,5,10,2,3,1,4]=>[3,10,2,1,7,9,6,8,5,4]
[7,8,6,9,5,10,2,3,1,4]=>[3,10,2,1,9,8,7,6,5,4]
[9,10,7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,10,7,9,6]
[8,9,7,10,4,5,2,3,1,6]=>[3,5,2,10,4,1,9,8,7,6]
[9,10,7,8,3,4,2,5,1,6]=>[5,4,8,3,2,1,10,7,9,6]
[8,9,7,10,3,4,2,5,1,6]=>[5,4,10,3,2,1,9,8,7,6]
[9,10,6,7,4,5,2,3,1,8]=>[3,5,2,7,4,10,6,1,9,8]
[9,10,5,6,4,7,2,3,1,8]=>[3,7,2,6,10,5,4,1,9,8]
[9,10,6,7,3,4,2,5,1,8]=>[5,4,7,3,2,10,6,1,9,8]
[9,10,5,6,3,4,2,7,1,8]=>[7,4,6,3,10,5,2,1,9,8]
[9,10,4,5,3,6,2,7,1,8]=>[7,6,5,10,4,3,2,1,9,8]
[8,9,6,7,4,5,2,3,1,10]=>[3,5,2,7,4,9,6,8,1,10]
[7,8,6,9,4,5,2,3,1,10]=>[3,5,2,9,4,8,7,6,1,10]
[8,9,5,6,4,7,2,3,1,10]=>[3,7,2,6,9,5,4,8,1,10]
[7,8,5,6,4,9,2,3,1,10]=>[3,9,2,6,8,5,7,4,1,10]
[6,7,5,8,4,9,2,3,1,10]=>[3,9,2,8,7,6,5,4,1,10]
[8,9,6,7,3,4,2,5,1,10]=>[5,4,7,3,2,9,6,8,1,10]
[7,8,6,9,3,4,2,5,1,10]=>[5,4,9,3,2,8,7,6,1,10]
[8,9,5,6,3,4,2,7,1,10]=>[7,4,6,3,9,5,2,8,1,10]
[8,9,4,5,3,6,2,7,1,10]=>[7,6,5,9,4,3,2,8,1,10]
[7,8,5,6,3,4,2,9,1,10]=>[9,4,6,3,8,5,7,2,1,10]
[6,7,5,8,3,4,2,9,1,10]=>[9,4,8,3,7,6,5,2,1,10]
[7,8,4,5,3,6,2,9,1,10]=>[9,6,5,8,4,3,7,2,1,10]
[6,7,4,5,3,8,2,9,1,10]=>[9,8,5,7,4,6,3,2,1,10]
[10,8,4,5,6,7,1,9,2,3]=>[7,9,2,8,4,5,6,10,1,3]
[2,8,4,5,6,7,1,10,3,9]=>[7,2,10,8,4,5,6,1,3,9]
[7,3,4,5,6,1,8,10,2,9]=>[6,10,7,3,4,5,1,8,2,9]
[10,7,4,5,6,1,8,9,2,3]=>[6,9,2,7,4,5,10,1,8,3]
[8,9,4,5,10,1,2,3,6,7]=>[10,1,2,9,4,3,6,8,5,7]
[8,4,3,9,10,1,2,5,6,7]=>[10,1,4,8,2,5,6,3,9,7]
[9,6,10,1,3,7,8,2,4,5]=>[10,8,1,2,4,9,3,7,6,5]
[9,10,6,7,4,5,1,2,3,8]=>[5,1,2,7,4,10,6,3,9,8]
[9,6,4,10,3,7,1,2,5,8]=>[7,1,10,6,2,9,3,5,4,8]
[10,1,8,9,6,7,4,5,2,3]=>[10,5,2,7,4,9,6,1,8,3]
[10,8,6,1,4,9,3,7,2,5]=>[6,8,7,1,3,10,2,9,4,5]
[10,8,6,5,4,1,3,9,2,7]=>[4,5,1,6,8,10,2,9,3,7]
[10,8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,10,2,9]
[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]
[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]
[10,7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,10,1,8,9]
[10,1,2,3,4,5,6,9,8,7]=>[10,1,2,3,4,5,8,9,6,7]
[10,1,2,3,4,5,9,7,8,6]=>[10,1,2,3,4,8,9,7,5,6]
[10,1,2,3,9,5,6,7,8,4]=>[10,1,2,8,9,5,6,7,3,4]
[10,1,2,9,4,5,6,7,8,3]=>[10,1,8,9,4,5,6,7,2,3]
[3,4,5,6,7,9,10,1,8,2]=>[10,8,3,4,5,6,7,1,9,2]
[3,4,5,6,8,9,10,1,7,2]=>[10,7,3,4,5,6,1,8,9,2]
[3,4,5,7,8,9,10,1,6,2]=>[10,6,3,4,5,1,7,8,9,2]
[3,4,6,7,8,9,10,1,5,2]=>[10,5,3,4,1,6,7,8,9,2]
[3,5,6,7,8,9,10,1,4,2]=>[10,4,3,1,5,6,7,8,9,2]
[4,5,6,7,8,9,10,1,3,2]=>[10,3,1,4,5,6,7,8,9,2]
[2,3,4,5,8,6,9,7,10,1]=>[10,2,3,4,5,8,9,6,7,1]
[3,4,5,6,9,7,10,2,8,1]=>[8,10,3,4,5,6,9,2,7,1]
[3,4,5,8,6,9,1,7,10,2]=>[9,10,3,4,5,8,1,6,7,2]
[2,3,4,5,9,6,1,10,7,8]=>[6,2,3,4,5,9,10,7,1,8]
[4,5,6,9,1,7,10,8,2,3]=>[9,8,2,4,5,6,1,10,7,3]
[3,4,5,6,10,8,2,7,1,9]=>[7,8,3,4,5,6,2,10,1,9]
[4,6,7,5,8,3,9,2,10,1]=>[10,9,8,4,7,6,5,3,2,1]
[6,4,3,7,8,5,9,2,10,1]=>[10,9,4,6,8,3,7,5,2,1]
[6,4,7,3,2,8,9,5,10,1]=>[10,3,7,6,9,4,2,8,5,1]
[6,4,7,3,8,2,1,9,10,5]=>[2,8,7,6,10,4,3,1,9,5]
[6,4,7,3,8,2,9,1,5,10]=>[9,8,7,6,1,4,3,2,5,10]
[6,4,7,3,8,2,5,9,1,10]=>[9,8,7,6,2,4,3,5,1,10]
[6,4,7,3,5,8,2,9,1,10]=>[9,8,7,6,3,4,5,2,1,10]
[6,4,5,7,3,8,2,9,1,10]=>[9,8,7,6,4,5,3,2,1,10]
[7,5,1,3,2,6,4,8,9,10]=>[5,3,1,7,6,4,2,8,9,10]
[9,6,1,3,4,2,7,8,5,10]=>[6,4,1,3,9,8,5,7,2,10]
[8,3,6,1,4,2,7,5,9,10]=>[6,4,8,1,7,3,2,5,9,10]
[10,1,8,3,2,5,7,4,9,6]=>[10,3,8,7,2,9,5,1,4,6]
[10,3,7,1,4,5,2,8,9,6]=>[7,5,10,1,4,9,3,2,8,6]
[9,3,4,7,1,5,2,8,6,10]=>[7,5,9,3,1,8,4,2,6,10]
[7,10,1,3,8,2,6,5,9,4]=>[10,8,1,9,6,2,7,3,5,4]
[10,9,5,1,8,2,4,3,6,7]=>[5,9,4,1,8,3,6,2,10,7]
[10,3,4,5,8,1,6,2,9,7]=>[8,6,10,3,4,1,9,5,2,7]
[9,8,7,5,6,4,3,2,10,1]=>[10,3,4,6,7,5,8,9,2,1]
[2,3,4,5,6,9,10,8,7,1]=>[7,2,3,4,5,6,8,10,9,1]
[2,3,4,5,8,9,10,7,6,1]=>[6,2,3,4,5,7,10,8,9,1]
[2,3,4,7,8,9,10,6,5,1]=>[5,2,3,4,6,10,7,8,9,1]
[2,3,6,7,8,9,10,5,4,1]=>[4,2,3,5,10,6,7,8,9,1]
[2,5,6,7,8,9,10,4,3,1]=>[3,2,4,10,5,6,7,8,9,1]
[9,10,2,4,6,8,1,3,5,7]=>[8,10,1,2,3,4,5,6,9,7]
[7,8,2,4,6,10,1,3,5,9]=>[10,8,1,2,3,4,7,6,5,9]
[9,7,10,2,4,6,8,1,3,5]=>[8,10,1,2,3,4,9,6,7,5]
[8,9,10,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,10,8,9,5]
[5,6,2,4,8,10,1,3,7,9]=>[10,6,1,2,5,4,3,8,7,9]
[5,6,9,10,2,4,8,1,3,7]=>[8,10,1,2,5,6,3,4,9,7]
[7,5,8,2,4,6,10,1,3,9]=>[10,8,1,2,7,4,5,6,3,9]
[7,9,5,10,2,4,6,8,1,3]=>[8,10,1,2,9,4,7,6,5,3]
[5,8,9,10,7,2,4,6,1,3]=>[6,7,1,2,5,4,10,8,9,3]
[6,7,8,5,2,4,10,1,3,9]=>[10,5,1,2,8,6,7,4,3,9]
[9,6,7,5,10,2,4,8,1,3]=>[8,10,1,2,7,9,6,4,5,3]
[8,9,6,10,5,7,2,4,1,3]=>[4,7,1,2,10,9,5,8,6,3]
[7,8,9,10,6,5,2,4,1,3]=>[4,5,1,2,6,10,7,8,9,3]
[3,4,2,6,8,10,1,5,7,9]=>[10,4,3,2,1,6,5,8,7,9]
[3,4,9,10,2,6,8,1,5,7]=>[8,10,3,4,1,2,5,6,9,7]
[3,4,7,8,2,6,10,1,5,9]=>[10,8,3,4,1,2,7,6,5,9]
[9,3,4,7,10,2,6,8,1,5]=>[8,10,9,3,1,2,4,6,7,5]
[8,9,10,3,4,7,2,6,1,5]=>[6,7,10,3,1,2,4,8,9,5]
[5,3,6,2,4,8,10,1,7,9]=>[10,6,5,2,3,4,1,8,7,9]
[5,3,6,9,10,2,4,8,1,7]=>[8,10,5,2,3,6,1,4,9,7]
[5,7,3,8,2,4,6,10,1,9]=>[10,8,7,2,5,4,3,6,1,9]
[5,7,9,3,10,2,4,6,8,1]=>[8,10,9,2,5,4,7,6,3,1]
[8,5,9,10,3,7,2,4,6,1]=>[6,7,10,2,8,4,3,5,9,1]
[3,6,7,8,5,2,4,10,1,9]=>[10,5,3,2,8,6,7,4,1,9]
[9,3,6,7,5,10,2,4,8,1]=>[8,10,9,2,7,3,6,4,5,1]
[6,8,3,9,10,5,7,2,4,1]=>[4,7,8,2,10,6,5,3,9,1]
[7,8,9,10,3,6,5,2,4,1]=>[4,5,6,3,10,2,7,8,9,1]
[4,5,6,3,2,8,10,1,7,9]=>[10,3,6,4,5,2,1,8,7,9]
[4,5,6,3,9,10,2,8,1,7]=>[8,10,6,4,5,3,1,2,9,7]
[7,4,5,3,8,2,6,10,1,9]=>[10,8,5,7,4,2,3,6,1,9]
[7,4,5,9,3,10,2,6,8,1]=>[8,10,9,7,4,2,5,6,3,1]
[4,8,5,9,10,3,7,2,6,1]=>[6,7,10,4,8,2,3,5,9,1]
[6,7,4,8,3,5,2,10,1,9]=>[10,5,8,7,3,6,4,2,1,9]
[6,7,9,4,3,5,10,2,8,1]=>[8,10,4,9,3,6,7,2,5,1]
[8,6,9,4,10,3,5,7,2,1]=>[2,7,10,9,3,8,5,6,4,1]
[7,4,8,9,10,6,3,5,2,1]=>[2,5,6,10,4,7,3,8,9,1]
[5,6,7,8,4,3,2,10,1,9]=>[10,3,4,8,5,6,7,2,1,9]
[9,5,6,7,4,3,10,2,8,1]=>[8,10,4,7,9,5,6,2,3,1]
[8,9,5,6,4,10,3,7,2,1]=>[2,7,10,6,9,5,3,8,4,1]
[7,8,9,5,10,4,6,3,2,1]=>[2,3,6,10,9,4,7,8,5,1]
[1,2,4,5,6,8,10,9,3,7]=>[1,2,9,4,5,6,3,8,10,7]
[1,2,3,5,7,8,10,6,9,4]=>[1,2,3,9,5,10,7,8,6,4]
[1,2,4,5,7,8,10,3,9,6]=>[1,2,10,4,5,9,7,8,3,6]
[1,2,4,6,7,5,10,8,3,9]=>[1,2,8,4,7,6,5,10,3,9]
[1,3,4,2,7,8,10,5,9,6]=>[1,4,3,2,10,9,7,8,5,6]
[1,3,4,6,7,2,10,8,5,9]=>[1,7,3,4,8,6,2,10,5,9]
[1,2,3,5,6,9,8,10,7,4]=>[1,2,3,7,5,6,10,9,8,4]
[1,2,4,5,6,9,8,10,3,7]=>[1,2,10,4,5,6,3,9,8,7]
[1,2,3,5,7,9,6,10,8,4]=>[1,2,3,8,5,10,7,9,4,6]
[1,2,4,5,7,9,3,10,8,6]=>[1,2,9,4,5,8,7,10,3,6]
[1,2,4,6,5,9,7,10,3,8]=>[1,2,10,4,6,5,9,3,7,8]
[1,3,4,2,7,9,5,10,8,6]=>[1,4,3,2,9,8,7,10,5,6]
[1,3,4,6,2,9,7,10,5,8]=>[1,6,3,4,10,2,9,5,7,8]
[1,2,3,5,8,7,9,6,10,4]=>[1,2,3,10,5,9,8,7,6,4]
[1,2,4,5,8,7,9,3,10,6]=>[1,2,9,4,5,10,8,7,3,6]
[1,2,4,6,8,5,9,3,10,7]=>[1,2,9,4,8,6,10,5,3,7]
[1,2,4,7,6,8,5,9,3,10]=>[1,2,9,4,8,7,6,5,3,10]
[1,3,4,2,8,7,9,5,10,6]=>[1,4,3,2,9,10,8,7,5,6]
[1,3,4,6,8,2,9,5,10,7]=>[1,8,3,4,9,6,10,2,5,7]
[1,3,4,7,6,8,2,9,5,10]=>[1,8,3,4,9,7,6,2,5,10]
[1,2,3,6,5,9,7,10,8,4]=>[1,2,3,8,6,5,10,9,4,7]
[1,2,4,6,3,9,7,10,8,5]=>[1,2,6,4,8,3,10,9,5,7]
[1,2,5,4,6,9,7,10,3,8]=>[1,2,10,5,4,6,9,3,7,8]
[1,3,2,6,4,9,7,10,8,5]=>[1,3,2,6,8,4,10,9,5,7]
[1,3,5,2,6,9,7,10,4,8]=>[1,5,3,10,2,6,9,4,7,8]
[1,2,3,6,8,5,9,7,10,4]=>[1,2,3,10,8,6,9,5,7,4]
[1,2,4,6,8,3,9,7,10,5]=>[1,2,8,4,10,6,9,3,7,5]
[1,2,5,4,8,6,9,3,10,7]=>[1,2,9,5,4,8,10,6,3,7]
[1,2,5,7,4,8,6,9,3,10]=>[1,2,9,7,5,8,4,6,3,10]
[1,3,2,6,8,4,9,7,10,5]=>[1,3,2,8,10,6,9,4,7,5]
[1,3,5,2,8,6,9,4,10,7]=>[1,5,3,9,2,8,10,6,4,7]
[1,3,5,7,2,8,6,9,4,10]=>[1,7,3,9,5,8,2,6,4,10]
[1,4,3,5,8,2,9,6,10,7]=>[1,8,4,3,5,9,10,2,6,7]
[1,4,3,7,5,8,2,9,6,10]=>[1,8,4,3,7,9,5,2,6,10]
[2,1,3,6,4,9,7,10,8,5]=>[2,1,3,6,8,4,10,9,5,7]
[2,1,5,3,6,9,7,10,4,8]=>[2,1,5,10,3,6,9,4,7,8]
[2,1,3,6,8,4,9,7,10,5]=>[2,1,3,8,10,6,9,4,7,5]
[2,1,5,3,8,6,9,4,10,7]=>[2,1,5,9,3,8,10,6,4,7]
[2,1,5,7,3,8,6,9,4,10]=>[2,1,7,9,5,8,3,6,4,10]
[2,4,1,5,8,3,9,6,10,7]=>[4,2,8,1,5,9,10,3,6,7]
[2,4,1,7,5,8,3,9,6,10]=>[4,2,8,1,7,9,5,3,6,10]
[9,2,1,4,6,3,8,5,10,7]=>[2,9,6,1,8,4,10,3,5,7]
[2,1,7,4,3,6,8,5,10,9]=>[2,1,4,7,8,3,6,5,10,9]
[7,2,1,4,3,6,9,5,10,8]=>[2,7,4,1,9,3,6,10,5,8]
[8,7,2,1,4,6,9,3,10,5]=>[2,7,8,3,9,4,10,6,5,1]
[2,1,5,4,8,6,3,7,10,9]=>[2,1,6,5,4,8,3,7,10,9]
[5,2,1,4,9,6,3,8,10,7]=>[2,5,6,1,4,9,10,3,8,7]
[2,1,5,4,3,7,6,8,10,9]=>[2,1,4,5,3,7,6,8,10,9]
[5,2,1,4,3,7,6,9,10,8]=>[2,5,4,1,3,7,6,10,9,8]
[8,5,2,1,4,7,3,9,10,6]=>[2,5,8,3,7,10,4,1,9,6]
[2,1,6,5,4,3,7,8,10,9]=>[2,1,4,5,6,3,7,8,10,9]
[6,2,1,5,4,3,7,9,10,8]=>[2,6,4,5,1,3,7,10,9,8]
[6,5,2,1,4,3,8,9,10,7]=>[2,5,4,1,6,3,10,8,9,7]
[7,6,5,2,1,4,8,9,10,3]=>[2,5,6,1,7,10,4,8,9,3]
[3,2,6,4,8,5,10,7,1,9]=>[7,3,2,6,10,4,8,1,5,9]
[3,2,1,4,6,5,9,8,7,10]=>[2,3,1,4,6,5,8,9,7,10]
[3,2,7,4,1,6,10,8,5,9]=>[4,3,2,7,8,1,6,10,5,9]
[3,2,1,7,4,6,9,8,5,10]=>[2,3,1,7,8,4,6,9,5,10]
[8,3,2,1,4,7,9,6,5,10]=>[2,3,8,1,6,9,4,7,5,10]
[3,2,5,4,8,6,1,10,7,9]=>[6,3,2,5,4,8,10,1,7,9]
[3,2,1,5,9,6,4,8,7,10]=>[2,3,1,6,5,9,8,4,7,10]
[3,2,5,4,1,7,6,10,8,9]=>[4,3,2,5,1,7,6,10,8,9]
[8,3,2,1,5,7,4,9,6,10]=>[2,3,8,7,1,9,5,4,6,10]
[3,2,6,5,4,1,7,10,8,9]=>[4,3,2,5,6,1,7,10,8,9]
[6,3,2,5,4,1,7,9,8,10]=>[4,3,5,6,1,2,7,9,8,10]
[6,3,2,1,5,4,8,9,7,10]=>[2,3,6,5,1,4,9,8,7,10]
[7,6,3,2,1,5,8,9,4,10]=>[2,3,6,7,4,9,5,8,1,10]
[4,3,8,5,10,6,2,1,7,9]=>[2,6,4,3,10,8,5,1,7,9]
[4,3,2,5,9,8,6,1,7,10]=>[6,3,4,2,5,8,1,9,7,10]
[4,3,7,5,2,10,6,1,8,9]=>[6,5,4,3,10,7,1,2,8,9]
[4,3,2,7,5,9,6,1,8,10]=>[6,3,4,2,9,7,1,5,8,10]
[4,3,2,1,5,8,7,6,9,10]=>[2,3,4,1,5,7,8,6,9,10]
[4,3,6,5,2,1,10,7,8,9]=>[2,5,4,3,6,1,10,7,8,9]
[4,3,2,6,5,1,9,7,8,10]=>[5,3,4,2,6,1,9,7,8,10]
[7,4,3,2,1,6,8,5,9,10]=>[2,3,4,7,8,1,6,5,9,10]
[5,4,10,6,3,2,1,7,8,9]=>[2,3,6,5,4,10,1,7,8,9]
[5,4,3,9,6,2,1,7,8,10]=>[2,6,4,5,3,9,1,7,8,10]
[5,4,3,2,8,6,1,7,9,10]=>[6,3,4,5,2,8,1,7,9,10]
[5,6,1,2,3,7,8,9,10,4]=>[6,1,2,10,5,3,7,8,9,4]
[2,5,1,3,6,7,8,9,10,4]=>[5,2,1,10,3,6,7,8,9,4]
[3,2,1,5,6,7,8,9,10,4]=>[2,3,1,10,5,6,7,8,9,4]
[6,7,8,1,2,3,4,9,10,5]=>[8,1,2,3,10,6,7,4,9,5]
[2,6,7,1,3,4,8,9,10,5]=>[7,2,1,3,10,6,4,8,9,5]
[6,3,4,1,2,7,8,9,10,5]=>[4,1,6,3,10,2,7,8,9,5]
[3,2,6,1,4,7,8,9,10,5]=>[6,3,2,1,10,4,7,8,9,5]
[4,3,2,1,6,7,8,9,10,5]=>[2,3,4,1,10,6,7,8,9,5]
[2,7,8,9,1,3,4,5,10,6]=>[9,2,1,3,4,10,7,8,5,6]
[7,3,4,8,1,2,5,9,10,6]=>[8,1,7,3,2,10,4,5,9,6]
[3,2,7,8,1,4,5,9,10,6]=>[8,3,2,1,4,10,7,5,9,6]
[4,7,2,5,1,3,8,9,10,6]=>[5,7,1,4,2,10,3,8,9,6]
[4,3,2,7,1,5,8,9,10,6]=>[7,3,4,2,1,10,5,8,9,6]
[5,4,3,2,1,7,8,9,10,6]=>[2,3,4,5,1,10,7,8,9,6]
[8,3,4,9,10,1,2,5,6,7]=>[10,1,8,3,2,5,6,4,9,7]
[8,9,4,5,6,1,2,3,10,7]=>[6,1,2,9,4,5,10,8,3,7]
[4,3,2,8,9,1,5,6,10,7]=>[9,3,4,2,1,5,10,8,6,7]
[8,5,6,3,4,1,2,9,10,7]=>[4,1,6,3,8,5,10,2,9,7]
[5,3,8,2,6,1,4,9,10,7]=>[6,8,5,1,3,2,10,4,9,7]
[5,4,3,2,8,1,6,9,10,7]=>[8,3,4,5,2,1,10,6,9,7]
[6,5,4,3,2,1,8,9,10,7]=>[2,3,4,5,6,1,10,8,9,7]
[5,9,10,2,6,7,1,3,4,8]=>[7,10,1,3,5,2,6,4,9,8]
[9,5,6,3,4,10,1,2,7,8]=>[10,1,6,3,9,5,2,7,4,8]
[5,3,9,2,6,10,1,4,7,8]=>[10,9,5,1,3,2,4,7,6,8]
[5,4,3,2,9,10,1,6,7,8]=>[10,3,4,5,2,1,6,7,9,8]
[6,9,4,7,2,5,1,3,10,8]=>[5,7,1,9,2,6,4,10,3,8]
[6,4,3,9,2,7,1,5,10,8]=>[7,9,4,6,1,3,2,10,5,8]
[6,5,4,3,2,9,1,7,10,8]=>[9,3,4,5,6,2,1,10,7,8]
[7,6,5,4,3,2,1,9,10,8]=>[2,3,4,5,6,7,1,10,9,8]
[10,7,8,5,6,3,4,1,2,9]=>[4,1,6,3,8,5,10,7,2,9]
[7,5,10,3,8,2,6,1,4,9]=>[6,8,10,1,7,2,5,3,4,9]
[7,5,4,3,10,2,8,1,6,9]=>[8,10,4,5,7,1,3,2,6,9]
[7,6,5,4,3,2,10,1,8,9]=>[10,3,4,5,6,7,2,1,8,9]
[2,1,8,7,4,3,6,5,10,9]=>[2,1,4,7,6,3,8,5,10,9]
[10,2,1,7,4,3,6,5,9,8]=>[2,10,4,7,6,3,1,9,5,8]
[2,1,6,5,8,7,4,3,10,9]=>[2,1,4,7,6,5,8,3,10,9]
[10,2,1,5,4,7,6,3,9,8]=>[2,10,6,5,1,7,4,9,3,8]
[10,9,8,2,1,5,4,3,7,6]=>[2,8,4,5,1,7,3,9,10,6]
[10,2,1,7,6,5,4,3,9,8]=>[2,10,4,5,6,7,1,9,3,8]
[10,9,2,1,6,5,4,3,8,7]=>[2,9,4,5,6,1,8,3,10,7]
[4,3,2,7,6,1,10,9,8,5]=>[6,3,4,2,7,8,5,9,10,1]
[3,2,6,5,8,7,4,10,9,1]=>[9,3,2,7,6,5,8,4,10,1]
[6,3,2,1,10,5,4,9,8,7]=>[2,3,6,5,10,1,8,9,4,7]
[3,2,8,5,4,7,6,10,9,1]=>[9,3,2,5,8,7,4,6,10,1]
[10,9,8,3,2,5,4,7,6,1]=>[6,3,7,5,1,8,4,9,10,2]
[3,2,8,7,6,5,4,10,9,1]=>[9,3,2,5,6,7,8,4,10,1]
[10,9,3,2,6,5,4,8,7,1]=>[7,3,8,5,6,1,9,4,10,2]
[10,9,8,7,6,3,2,5,4,1]=>[4,3,5,6,1,7,8,9,10,2]
[5,4,8,7,6,10,9,3,2,1]=>[2,3,9,5,4,7,8,6,10,1]
[10,5,4,7,6,9,8,3,2,1]=>[2,3,8,5,9,7,1,10,6,4]
[4,3,8,7,6,5,10,9,2,1]=>[2,9,4,3,6,7,8,5,10,1]
[10,4,3,7,6,5,9,8,2,1]=>[2,8,4,9,6,7,1,10,5,3]
[10,9,8,7,4,3,6,5,2,1]=>[2,5,4,6,7,1,8,9,10,3]
[10,7,6,9,8,5,4,3,2,1]=>[2,3,4,5,8,7,9,10,1,6]
[10,9,6,5,8,7,4,3,2,1]=>[2,3,4,7,6,8,9,1,10,5]
[2,1,4,3,6,5,7,9,10,8]=>[2,1,4,3,6,5,7,10,9,8]
[2,1,4,3,5,7,8,6,10,9]=>[2,1,4,3,5,8,7,6,10,9]
[2,1,4,3,5,7,6,9,10,8]=>[2,1,4,3,5,7,6,10,9,8]
[2,1,4,3,5,6,8,9,10,7]=>[2,1,4,3,5,6,10,8,9,7]
[2,1,3,5,6,4,8,7,10,9]=>[2,1,3,6,5,4,8,7,10,9]
[2,1,3,5,6,4,7,9,10,8]=>[2,1,3,6,5,4,7,10,9,8]
[2,1,3,5,4,7,8,6,10,9]=>[2,1,3,5,4,8,7,6,10,9]
[2,1,3,5,4,7,6,9,10,8]=>[2,1,3,5,4,7,6,10,9,8]
[2,1,3,5,4,6,8,9,10,7]=>[2,1,3,5,4,6,10,8,9,7]
[2,1,3,4,6,7,8,5,10,9]=>[2,1,3,4,8,6,7,5,10,9]
[2,1,3,4,6,7,5,9,10,8]=>[2,1,3,4,7,6,5,10,9,8]
[2,1,3,4,6,5,8,9,10,7]=>[2,1,3,4,6,5,10,8,9,7]
[2,1,3,4,5,7,8,9,10,6]=>[2,1,3,4,5,10,7,8,9,6]
[1,3,4,2,6,5,7,9,10,8]=>[1,4,3,2,6,5,7,10,9,8]
[1,3,4,2,5,7,8,6,10,9]=>[1,4,3,2,5,8,7,6,10,9]
[1,3,4,2,5,7,6,9,10,8]=>[1,4,3,2,5,7,6,10,9,8]
[1,3,4,2,5,6,8,9,10,7]=>[1,4,3,2,5,6,10,8,9,7]
[1,3,2,5,6,4,8,7,10,9]=>[1,3,2,6,5,4,8,7,10,9]
[1,3,2,5,6,4,7,9,10,8]=>[1,3,2,6,5,4,7,10,9,8]
[1,3,2,5,4,7,8,6,10,9]=>[1,3,2,5,4,8,7,6,10,9]
[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8]
[1,3,2,5,4,6,8,9,10,7]=>[1,3,2,5,4,6,10,8,9,7]
[1,3,2,4,6,7,8,5,10,9]=>[1,3,2,4,8,6,7,5,10,9]
[1,3,2,4,6,7,5,9,10,8]=>[1,3,2,4,7,6,5,10,9,8]
[1,3,2,4,6,5,8,9,10,7]=>[1,3,2,4,6,5,10,8,9,7]
[1,3,2,4,5,7,8,9,10,6]=>[1,3,2,4,5,10,7,8,9,6]
[1,2,4,5,6,3,8,7,10,9]=>[1,2,6,4,5,3,8,7,10,9]
[1,2,4,5,6,3,7,9,10,8]=>[1,2,6,4,5,3,7,10,9,8]
[1,2,4,5,3,7,8,6,10,9]=>[1,2,5,4,3,8,7,6,10,9]
[1,2,4,5,3,7,6,9,10,8]=>[1,2,5,4,3,7,6,10,9,8]
[1,2,4,5,3,6,8,9,10,7]=>[1,2,5,4,3,6,10,8,9,7]
[1,2,4,3,6,7,8,5,10,9]=>[1,2,4,3,8,6,7,5,10,9]
[1,2,4,3,6,7,5,9,10,8]=>[1,2,4,3,7,6,5,10,9,8]
[1,2,4,3,6,5,8,9,10,7]=>[1,2,4,3,6,5,10,8,9,7]
[1,2,4,3,5,7,8,9,10,6]=>[1,2,4,3,5,10,7,8,9,6]
[1,2,3,5,6,7,8,4,10,9]=>[1,2,3,8,5,6,7,4,10,9]
[1,2,3,5,6,7,4,9,10,8]=>[1,2,3,7,5,6,4,10,9,8]
[1,2,3,5,6,4,8,9,10,7]=>[1,2,3,6,5,4,10,8,9,7]
[1,2,3,5,4,7,8,9,10,6]=>[1,2,3,5,4,10,7,8,9,6]
[2,3,4,5,6,10,8,9,7,1]=>[7,2,3,4,5,6,9,10,8,1]
[2,3,4,5,10,7,8,9,6,1]=>[6,2,3,4,5,9,10,7,8,1]
[2,3,4,10,6,7,8,9,5,1]=>[5,2,3,4,9,10,6,7,8,1]
[2,3,10,5,6,7,8,9,4,1]=>[4,2,3,9,10,5,6,7,8,1]
[2,10,4,5,6,7,8,9,3,1]=>[3,2,9,10,4,5,6,7,8,1]
[10,3,4,5,6,7,8,9,2,1]=>[2,9,10,3,4,5,6,7,8,1]
[6,5,7,4,8,3,10,1,9,2]=>[10,9,8,7,6,5,4,3,1,2]
[6,5,7,4,10,1,9,2,8,3]=>[10,9,8,7,6,5,4,2,1,3]
[6,5,10,1,9,2,8,3,7,4]=>[10,9,8,7,6,5,3,2,1,4]
[5,10,1,9,2,8,3,7,4,6]=>[10,9,8,7,5,4,3,2,1,6]
[5,6,4,10,1,9,2,8,3,7]=>[10,9,8,6,5,4,3,2,1,7]
[5,6,4,7,3,10,1,9,2,8]=>[10,9,7,6,5,4,3,2,1,8]
[5,6,4,7,3,8,2,10,1,9]=>[10,8,7,6,5,4,3,2,1,9]
[2,10,1,3,4,5,6,9,7,8]=>[10,2,1,3,4,5,9,7,6,8]
[2,9,1,3,4,5,6,7,10,8]=>[9,2,1,3,4,5,6,10,7,8]
[10,3,1,2,4,5,6,9,7,8]=>[3,1,10,2,4,5,9,7,6,8]
[3,1,10,2,4,5,6,9,7,8]=>[3,10,1,2,4,5,9,7,6,8]
[9,3,1,2,4,5,6,7,10,8]=>[3,1,9,2,4,5,6,10,7,8]
[3,1,9,2,4,5,6,7,10,8]=>[3,9,1,2,4,5,6,10,7,8]
[10,9,3,4,5,6,7,8,1,2]=>[8,1,9,3,4,5,6,7,10,2]
[10,9,2,3,4,5,6,7,1,8]=>[7,9,2,3,4,5,6,1,10,8]
[10,4,5,6,7,8,9,2,1,3]=>[2,9,1,10,4,5,6,7,8,3]
[10,3,4,5,6,7,8,2,1,9]=>[2,8,10,3,4,5,6,7,1,9]
[7,9,8,6,5,4,3,2,1,10]=>[2,3,4,5,6,8,7,9,1,10]
[7,9,10,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,10,9,1]
[1,10,2,8,9,3,5,6,7,4]=>[1,10,9,7,3,5,6,2,8,4]
[1,10,2,7,8,9,4,5,6,3]=>[1,10,6,9,4,5,2,7,8,3]
[1,9,10,7,8,2,4,5,6,3]=>[1,8,6,2,4,5,10,7,9,3]
[1,9,10,6,7,2,4,5,8,3]=>[1,7,8,2,4,10,6,5,9,3]
[1,8,9,6,7,10,3,4,5,2]=>[1,5,10,3,4,9,6,8,7,2]
[1,9,10,5,6,2,4,7,8,3]=>[1,6,8,2,10,5,4,7,9,3]
[1,8,9,5,6,10,3,4,7,2]=>[1,7,10,3,9,5,4,8,6,2]
[10,9,1,7,8,2,4,5,6,3]=>[9,8,6,2,4,5,1,7,10,3]
[10,9,1,6,7,8,3,4,5,2]=>[9,5,8,3,4,1,6,7,10,2]
[10,8,1,7,9,2,4,5,6,3]=>[8,10,6,1,4,5,2,9,7,3]
[10,8,1,6,7,2,4,5,9,3]=>[8,7,10,2,4,3,6,9,5,1]
[10,7,1,6,8,9,3,4,5,2]=>[7,5,10,1,4,3,9,6,8,2]
[10,8,1,5,6,2,4,7,9,3]=>[8,6,10,2,3,5,4,9,7,1]
[10,7,1,5,6,9,3,4,8,2]=>[7,10,8,1,2,5,9,4,6,3]
[9,8,10,6,7,1,3,4,5,2]=>[7,5,1,3,4,10,6,9,8,2]
[9,8,10,5,6,1,3,4,7,2]=>[6,7,1,3,10,5,4,9,8,2]
[9,7,10,5,6,1,3,4,8,2]=>[6,8,1,3,10,5,9,4,7,2]
[8,7,9,5,6,10,2,3,4,1]=>[4,10,2,3,9,5,8,7,6,1]
[9,8,10,4,5,1,3,6,7,2]=>[5,7,1,10,4,3,6,9,8,2]
[9,7,10,4,5,1,3,6,8,2]=>[5,8,1,10,4,3,9,6,7,2]
[8,7,9,4,5,10,2,3,6,1]=>[6,10,2,9,4,3,8,7,5,1]
[10,7,1,8,9,2,4,5,6,3]=>[7,10,6,1,4,5,9,2,8,3]
[10,7,1,6,9,2,4,5,8,3]=>[7,10,9,3,4,2,8,5,6,1]
[10,6,1,7,8,9,3,4,5,2]=>[6,5,10,1,4,9,3,7,8,2]
[10,7,1,5,9,2,4,6,8,3]=>[7,10,9,3,2,4,8,6,5,1]
[10,6,1,5,8,9,3,4,7,2]=>[6,10,7,1,2,9,4,5,8,3]
[9,7,10,6,8,1,3,4,5,2]=>[8,5,1,3,4,10,9,6,7,2]
[9,7,10,5,8,1,3,4,6,2]=>[8,6,1,3,10,4,9,5,7,2]
[9,6,10,5,7,1,3,4,8,2]=>[7,8,1,3,10,9,5,4,6,2]
[8,6,9,5,7,10,2,3,4,1]=>[4,10,2,3,9,8,5,6,7,1]
[9,7,10,4,8,1,3,5,6,2]=>[8,6,1,10,3,5,9,4,7,2]
[9,6,10,4,7,1,3,5,8,2]=>[7,8,1,10,3,9,4,5,6,2]
[8,6,9,4,7,10,2,3,5,1]=>[5,10,2,9,3,8,4,6,7,1]
[9,5,10,4,6,1,3,7,8,2]=>[6,8,1,10,9,4,3,7,5,2]
[8,5,9,4,6,10,2,3,7,1]=>[7,10,2,9,8,4,3,5,6,1]
[10,7,1,4,9,2,5,6,8,3]=>[7,10,9,2,3,5,8,6,4,1]
[10,6,1,4,8,9,3,5,7,2]=>[6,10,7,2,1,9,5,4,8,3]
[9,7,10,3,8,1,4,5,6,2]=>[8,6,10,1,4,5,9,3,7,2]
[9,6,10,3,7,1,4,5,8,2]=>[7,8,10,1,4,9,3,5,6,2]
[8,6,9,3,7,10,2,4,5,1]=>[5,10,9,2,4,8,3,6,7,1]
[9,5,10,3,6,1,4,7,8,2]=>[6,8,10,1,9,3,4,7,5,2]
[1,9,7,5,3,2,10,8,6,4]=>[1,3,5,7,6,9,8,10,2,4]
[1,8,5,2,9,6,3,10,7,4]=>[1,5,8,6,9,7,10,3,2,4]
[1,10,7,4,2,8,5,3,9,6]=>[1,4,7,5,10,8,9,2,6,3]
[1,10,7,4,2,9,6,3,8,5]=>[1,4,7,6,10,9,8,2,5,3]
[1,7,3,9,5,2,8,4,10,6]=>[1,5,9,7,8,10,4,3,2,6]
[1,10,6,2,7,3,8,4,9,5]=>[1,6,10,7,8,9,3,4,5,2]
[1,9,5,2,10,6,3,7,4,8]=>[1,5,9,6,10,7,2,4,3,8]
[1,10,6,2,9,5,3,7,4,8]=>[1,6,5,10,9,7,3,2,4,8]
[1,10,6,2,9,5,3,8,4,7]=>[1,6,5,10,9,8,2,3,4,7]
[1,10,5,9,4,8,3,7,2,6]=>[1,7,8,9,10,2,3,4,5,6]
[1,9,4,7,2,10,5,8,3,6]=>[1,7,8,9,10,3,4,5,2,6]
[1,10,5,8,3,6,2,9,4,7]=>[1,6,8,9,10,3,4,5,2,7]
[1,10,5,7,2,8,3,9,4,6]=>[1,7,8,9,10,4,5,2,3,6]
[1,10,5,7,2,9,4,6,3,8]=>[1,7,6,9,10,4,5,3,2,8]
[1,10,5,6,2,9,4,7,3,8]=>[1,6,7,9,10,5,4,3,2,8]
[1,9,3,5,7,2,10,4,6,8]=>[1,7,9,10,3,4,5,6,2,8]
[1,10,4,6,8,2,9,3,5,7]=>[1,8,9,10,3,4,5,6,2,7]
[1,8,2,9,3,10,4,5,6,7]=>[1,8,9,10,4,5,6,2,3,7]
[1,10,4,5,6,7,2,9,3,8]=>[1,7,9,10,4,5,6,3,2,8]
[1,9,3,7,2,10,4,8,5,6]=>[1,7,9,10,8,5,3,4,2,6]
[1,10,4,8,2,9,3,7,5,6]=>[1,8,9,10,7,5,3,4,2,6]
[1,10,4,7,2,9,3,8,5,6]=>[1,7,9,10,8,5,4,3,2,6]
[1,10,3,8,2,7,6,5,4,9]=>[1,8,10,5,6,7,2,3,4,9]
[1,9,2,10,3,7,6,5,4,8]=>[1,9,10,5,6,7,3,4,2,8]
[1,10,3,7,6,5,4,8,2,9]=>[1,8,10,5,6,7,3,4,2,9]
[1,10,3,8,2,9,4,7,6,5]=>[1,8,10,9,6,7,4,3,2,5]
[1,10,3,9,2,8,4,6,5,7]=>[1,9,10,8,6,4,5,2,3,7]
[1,10,3,8,2,9,4,6,5,7]=>[1,8,10,9,6,4,5,3,2,7]
[1,10,3,8,2,9,4,7,5,6]=>[1,8,10,9,7,5,4,3,2,6]
[1,10,2,9,3,7,4,8,5,6]=>[1,10,9,7,8,5,3,4,2,6]
[2,1,4,3,10,9,7,8,6,5]=>[2,1,4,3,6,8,9,7,10,5]
[2,1,8,7,5,6,4,3,10,9]=>[2,1,4,6,7,5,8,3,10,9]
[2,1,10,7,5,9,4,8,6,3]=>[2,1,6,8,9,7,10,5,3,4]
[2,1,10,9,5,8,7,6,4,3]=>[2,1,4,6,7,8,9,5,10,3]
[2,1,10,7,9,6,4,8,5,3]=>[2,1,5,8,6,9,10,3,7,4]
[4,3,2,1,10,9,7,8,6,5]=>[2,3,4,1,6,8,9,7,10,5]
[6,5,3,4,2,1,8,7,10,9]=>[2,4,5,3,6,1,8,7,10,9]
[6,5,3,4,2,1,10,9,8,7]=>[2,4,5,3,6,1,8,9,10,7]
[8,5,3,7,2,6,4,1,10,9]=>[4,6,7,5,8,3,1,2,10,9]
[10,5,3,7,2,9,4,8,6,1]=>[6,8,5,7,10,9,3,1,4,2]
[10,5,3,9,2,8,7,6,4,1]=>[4,6,7,5,8,9,10,2,3,1]
[8,7,3,6,5,4,2,1,10,9]=>[2,4,5,6,7,3,8,1,10,9]
[10,7,3,6,9,4,2,8,5,1]=>[5,4,8,9,7,1,10,2,6,3]
[10,9,3,8,6,5,7,4,2,1]=>[2,4,7,9,6,8,5,1,10,3]
[10,9,3,8,7,6,5,4,2,1]=>[2,4,5,6,7,8,9,3,10,1]
[8,5,7,4,2,6,3,1,10,9]=>[3,6,4,7,8,1,5,2,10,9]
[10,5,7,4,2,9,3,8,6,1]=>[6,4,8,7,9,10,1,5,2,3]
[10,5,9,4,2,8,7,6,3,1]=>[3,6,4,7,8,9,10,2,1,5]
[8,7,6,4,5,3,2,1,10,9]=>[2,3,5,6,4,7,8,1,10,9]
[10,7,6,4,9,3,2,8,5,1]=>[5,3,8,9,6,7,10,4,1,2]
[10,9,8,6,5,4,7,3,2,1]=>[2,3,7,5,6,8,4,9,10,1]
[10,7,6,9,5,3,2,8,4,1]=>[4,3,8,5,9,7,10,1,6,2]
[8,1,9,10,2,3,4,5,6,7]=>[8,10,2,3,4,5,6,1,9,7]
[5,10,4,9,3,8,2,1,7,6]=>[2,8,9,10,5,7,1,3,4,6]
[5,10,4,9,3,2,8,7,1,6]=>[7,3,8,9,5,2,10,4,1,6]
[5,10,4,9,3,2,8,1,7,6]=>[8,3,9,10,5,7,1,2,4,6]
[5,10,4,9,3,2,1,8,7,6]=>[2,3,9,10,5,7,8,1,4,6]
[5,10,4,3,9,8,2,7,1,6]=>[7,8,4,9,5,1,3,10,2,6]
[5,10,4,3,9,8,2,1,7,6]=>[2,8,4,9,5,7,3,10,1,6]
[5,10,4,3,9,2,8,7,1,6]=>[7,8,4,9,5,2,10,3,1,6]
[5,10,4,3,9,2,8,1,7,6]=>[8,9,4,10,5,7,1,2,3,6]
[5,10,4,3,9,2,1,8,7,6]=>[2,9,4,10,5,7,8,1,3,6]
[5,10,4,3,2,9,8,7,1,6]=>[7,3,4,8,5,1,9,10,2,6]
[5,10,4,3,2,9,8,1,7,6]=>[8,3,4,9,5,7,2,10,1,6]
[5,10,4,3,2,9,1,8,7,6]=>[9,3,4,10,5,7,8,1,2,6]
[5,10,4,3,2,1,9,8,7,6]=>[2,3,4,10,5,7,8,9,1,6]
[5,4,10,9,3,8,2,7,1,6]=>[7,8,9,5,4,1,2,3,10,6]
[5,4,10,9,3,8,2,1,7,6]=>[2,8,9,5,4,7,1,3,10,6]
[5,4,10,9,3,2,8,7,1,6]=>[7,3,8,5,4,2,9,1,10,6]
[5,4,10,9,3,2,8,1,7,6]=>[8,3,9,5,4,7,1,2,10,6]
[5,4,10,9,3,2,1,8,7,6]=>[2,3,9,5,4,7,8,1,10,6]
[5,4,10,3,9,8,2,7,1,6]=>[7,8,9,5,4,1,3,10,2,6]
[5,4,10,3,9,8,2,1,7,6]=>[2,8,9,5,4,7,3,10,1,6]
[5,4,10,3,9,2,8,7,1,6]=>[7,8,9,5,4,2,10,3,1,6]
[5,4,10,3,9,2,8,1,7,6]=>[8,9,10,5,4,7,1,2,3,6]
[5,4,10,3,9,2,1,8,7,6]=>[2,9,10,5,4,7,8,1,3,6]
[5,4,10,3,2,9,8,7,1,6]=>[7,3,8,5,4,1,9,10,2,6]
[5,4,10,3,2,9,8,1,7,6]=>[8,3,9,5,4,7,2,10,1,6]
[5,4,10,3,2,9,1,8,7,6]=>[9,3,10,5,4,7,8,1,2,6]
[5,4,10,3,2,1,9,8,7,6]=>[2,3,10,5,4,7,8,9,1,6]
[5,4,3,10,9,8,2,7,1,6]=>[7,8,4,5,3,1,2,9,10,6]
[5,4,3,10,9,8,2,1,7,6]=>[2,8,4,5,3,7,1,9,10,6]
[5,4,3,10,9,2,8,7,1,6]=>[7,8,4,5,3,2,9,1,10,6]
[5,4,3,10,9,2,8,1,7,6]=>[8,9,4,5,3,7,1,2,10,6]
[5,4,3,10,9,2,1,8,7,6]=>[2,9,4,5,3,7,8,1,10,6]
[5,4,3,10,2,9,8,7,1,6]=>[7,8,4,5,3,1,9,10,2,6]
[5,4,3,10,2,9,8,1,7,6]=>[8,9,4,5,3,7,2,10,1,6]
[5,4,3,10,2,9,1,8,7,6]=>[9,10,4,5,3,7,8,1,2,6]
[5,4,3,10,2,1,9,8,7,6]=>[2,10,4,5,3,7,8,9,1,6]
[5,4,3,2,10,9,8,7,1,6]=>[7,3,4,5,2,1,8,9,10,6]
[5,4,3,2,10,9,8,1,7,6]=>[8,3,4,5,2,7,1,9,10,6]
[5,4,3,2,10,9,1,8,7,6]=>[9,3,4,5,2,7,8,1,10,6]
[5,4,3,2,10,1,9,8,7,6]=>[10,3,4,5,2,7,8,9,1,6]
[3,4,5,6,7,10,1,2,8,9]=>[10,1,3,4,5,6,7,2,8,9]
[3,4,5,6,9,10,1,2,7,8]=>[10,1,3,4,5,6,2,7,9,8]
[3,4,5,8,9,10,1,2,6,7]=>[10,1,3,4,5,2,6,8,9,7]
[3,4,7,8,9,10,1,2,5,6]=>[10,1,3,4,2,5,7,8,9,6]
[3,6,7,8,9,10,1,2,4,5]=>[10,1,3,2,4,6,7,8,9,5]
[3,5,7,9,1,4,6,8,10,2]=>[9,10,3,1,5,4,7,6,8,2]
[3,5,7,10,1,4,6,8,9,2]=>[10,9,3,1,5,4,7,6,8,2]
[3,5,8,9,1,4,6,7,10,2]=>[9,10,3,1,5,4,6,8,7,2]
[3,5,8,10,1,4,6,7,9,2]=>[10,9,3,1,5,4,6,8,7,2]
[3,5,9,10,1,4,6,7,8,2]=>[10,8,3,1,5,4,6,7,9,2]
[3,6,7,9,1,4,5,8,10,2]=>[9,10,3,1,4,6,7,5,8,2]
[3,6,7,10,1,4,5,8,9,2]=>[10,9,3,1,4,6,7,5,8,2]
[3,6,8,9,1,4,5,7,10,2]=>[9,10,3,1,4,6,5,8,7,2]
[3,6,8,10,1,4,5,7,9,2]=>[10,9,3,1,4,6,5,8,7,2]
[3,6,9,10,1,4,5,7,8,2]=>[10,8,3,1,4,6,5,7,9,2]
[3,7,8,9,1,4,5,6,10,2]=>[9,10,3,1,4,5,7,8,6,2]
[3,7,8,10,1,4,5,6,9,2]=>[10,9,3,1,4,5,7,8,6,2]
[3,7,9,10,1,4,5,6,8,2]=>[10,8,3,1,4,5,7,6,9,2]
[3,8,9,10,1,4,5,6,7,2]=>[10,7,3,1,4,5,6,8,9,2]
[4,5,7,9,1,3,6,8,10,2]=>[9,10,1,4,5,3,7,6,8,2]
[4,5,7,10,1,3,6,8,9,2]=>[10,9,1,4,5,3,7,6,8,2]
[4,5,8,9,1,3,6,7,10,2]=>[9,10,1,4,5,3,6,8,7,2]
[4,5,8,10,1,3,6,7,9,2]=>[10,9,1,4,5,3,6,8,7,2]
[4,5,9,10,1,3,6,7,8,2]=>[10,8,1,4,5,3,6,7,9,2]
[4,6,7,9,1,3,5,8,10,2]=>[9,10,1,4,3,6,7,5,8,2]
[4,6,7,10,1,3,5,8,9,2]=>[10,9,1,4,3,6,7,5,8,2]
[4,6,8,9,1,3,5,7,10,2]=>[9,10,1,4,3,6,5,8,7,2]
[4,6,8,10,1,3,5,7,9,2]=>[10,9,1,4,3,6,5,8,7,2]
[4,6,9,10,1,3,5,7,8,2]=>[10,8,1,4,3,6,5,7,9,2]
[4,7,8,9,1,3,5,6,10,2]=>[9,10,1,4,3,5,7,8,6,2]
[4,7,8,10,1,3,5,6,9,2]=>[10,9,1,4,3,5,7,8,6,2]
[4,7,9,10,1,3,5,6,8,2]=>[10,8,1,4,3,5,7,6,9,2]
[4,8,9,10,1,3,5,6,7,2]=>[10,7,1,4,3,5,6,8,9,2]
[5,6,7,9,1,3,4,8,10,2]=>[9,10,1,3,5,6,7,4,8,2]
[5,6,7,10,1,3,4,8,9,2]=>[10,9,1,3,5,6,7,4,8,2]
[5,6,8,9,1,3,4,7,10,2]=>[9,10,1,3,5,6,4,8,7,2]
[5,6,8,10,1,3,4,7,9,2]=>[10,9,1,3,5,6,4,8,7,2]
[5,6,9,10,1,3,4,7,8,2]=>[10,8,1,3,5,6,4,7,9,2]
[5,7,8,9,1,3,4,6,10,2]=>[9,10,1,3,5,4,7,8,6,2]
[5,7,8,10,1,3,4,6,9,2]=>[10,9,1,3,5,4,7,8,6,2]
[5,7,9,10,1,3,4,6,8,2]=>[10,8,1,3,5,4,7,6,9,2]
[5,8,9,10,1,3,4,6,7,2]=>[10,7,1,3,5,4,6,8,9,2]
[6,7,8,9,1,3,4,5,10,2]=>[9,10,1,3,4,6,7,8,5,2]
[6,7,8,10,1,3,4,5,9,2]=>[10,9,1,3,4,6,7,8,5,2]
[6,7,9,10,1,3,4,5,8,2]=>[10,8,1,3,4,6,7,5,9,2]
[6,8,9,10,1,3,4,5,7,2]=>[10,7,1,3,4,6,5,8,9,2]
[2,1,4,3,6,5,10,7,9,8]=>[2,1,4,3,6,5,10,9,7,8]
[2,1,4,3,8,5,7,6,10,9]=>[2,1,4,3,8,7,5,6,10,9]
[2,1,4,3,10,9,7,5,6,8]=>[2,1,4,3,7,5,9,6,10,8]
[2,1,4,3,10,5,6,8,9,7]=>[2,1,4,3,10,5,9,6,8,7]
[2,1,6,3,5,4,8,7,10,9]=>[2,1,6,5,3,4,8,7,10,9]
[2,1,6,3,5,4,10,7,9,8]=>[2,1,6,5,3,4,10,9,7,8]
[2,1,8,7,5,3,4,6,10,9]=>[2,1,5,3,7,4,8,6,10,9]
[2,1,10,7,5,9,4,3,6,8]=>[2,1,4,9,7,3,10,6,5,8]
[2,1,10,8,5,3,6,4,9,7]=>[2,1,5,8,6,4,10,9,7,3]
[2,1,8,3,4,6,7,5,10,9]=>[2,1,8,3,7,4,6,5,10,9]
[2,1,10,9,4,6,7,3,5,8]=>[2,1,7,9,3,4,6,5,10,8]
[2,1,10,3,9,6,4,8,5,7]=>[2,1,10,6,9,8,4,5,3,7]
[2,1,10,3,4,5,7,8,9,6]=>[2,1,10,3,4,9,5,7,8,6]
[4,1,3,2,6,5,8,7,10,9]=>[4,3,1,2,6,5,8,7,10,9]
[4,1,3,2,6,5,10,7,9,8]=>[4,3,1,2,6,5,10,9,7,8]
[4,1,3,2,8,5,7,6,10,9]=>[4,3,1,2,8,7,5,6,10,9]
[4,1,3,2,10,9,7,5,6,8]=>[4,3,1,2,7,5,9,6,10,8]
[4,1,3,2,10,5,6,8,9,7]=>[4,3,1,2,10,5,9,6,8,7]
[6,5,3,1,2,4,10,7,9,8]=>[3,1,5,2,6,4,10,9,7,8]
[8,5,3,7,2,1,4,6,10,9]=>[2,7,5,1,8,4,3,6,10,9]
[10,5,3,7,2,9,4,1,6,8]=>[4,9,7,5,10,2,1,6,3,8]
[10,5,3,8,2,1,6,4,9,7]=>[2,8,5,10,6,1,9,4,3,7]
[8,6,3,1,4,2,7,5,10,9]=>[3,6,4,2,8,7,5,1,10,9]
[10,6,3,9,4,2,7,1,5,8]=>[7,4,9,6,1,10,3,5,2,8]
[10,6,3,1,9,2,4,8,5,7]=>[3,6,10,2,9,8,4,5,1,7]
[10,7,3,1,4,5,2,8,9,6]=>[3,7,5,2,4,10,9,6,8,1]
[6,1,2,4,5,3,8,7,10,9]=>[6,1,5,2,4,3,8,7,10,9]
[6,1,2,4,5,3,10,7,9,8]=>[6,1,5,2,4,3,10,9,7,8]
[8,7,2,4,5,1,3,6,10,9]=>[5,7,1,2,4,3,8,6,10,9]
[10,7,2,4,5,9,3,1,6,8]=>[3,9,7,1,4,2,10,6,5,8]
[10,8,2,4,5,1,6,3,9,7]=>[5,8,6,2,4,1,10,9,7,3]
[8,1,7,4,2,6,3,5,10,9]=>[8,4,7,6,2,3,1,5,10,9]
[10,9,7,4,2,6,3,1,5,8]=>[3,6,4,7,2,1,9,5,10,8]
[10,1,8,4,9,6,2,3,5,7]=>[10,6,2,9,4,8,5,1,3,7]
[10,1,8,4,2,5,7,3,9,6]=>[10,4,8,7,3,9,5,1,2,6]
[8,1,2,3,5,6,7,4,10,9]=>[8,1,2,7,3,5,6,4,10,9]
[10,9,2,3,5,6,7,1,4,8]=>[7,9,2,1,3,5,6,4,10,8]
[10,1,9,3,5,6,2,8,4,7]=>[10,6,9,8,3,5,4,2,1,7]
[10,1,2,9,5,3,7,8,4,6]=>[10,1,5,9,8,3,4,7,2,6]
[2,1,10,9,5,7,6,8,4,3]=>[2,1,4,8,9,7,5,6,10,3]
[2,1,10,9,7,6,5,8,4,3]=>[2,1,4,8,6,7,9,5,10,3]
[8,7,3,5,4,6,2,1,10,9]=>[2,6,7,5,3,4,8,1,10,9]
[10,9,3,5,4,7,6,8,2,1]=>[2,8,9,5,3,7,4,6,10,1]
[10,9,3,5,4,8,7,6,2,1]=>[2,6,7,5,3,8,9,4,10,1]
[10,9,3,7,6,5,4,8,2,1]=>[2,8,9,5,6,7,3,4,10,1]
[8,7,5,4,3,6,2,1,10,9]=>[2,6,4,5,7,3,8,1,10,9]
[10,9,5,4,3,7,6,8,2,1]=>[2,8,4,5,9,7,3,6,10,1]
[10,9,5,4,3,8,7,6,2,1]=>[2,6,4,5,7,8,9,3,10,1]
[10,9,7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,9,3,10,1]
[9,6,1,2,3,4,5,10,7,8]=>[6,1,2,3,4,9,10,7,5,8]
[10,5,1,2,3,4,9,6,7,8]=>[5,1,2,3,10,9,6,7,4,8]
[9,4,1,2,3,10,5,6,7,8]=>[4,1,2,9,10,5,6,7,3,8]
[9,3,1,2,10,4,5,6,7,8]=>[3,1,9,10,4,5,6,7,2,8]
[10,2,1,9,3,4,5,6,7,8]=>[2,10,9,3,4,5,6,7,1,8]
[6,1,5,2,4,3,7,8,9,10]=>[6,5,4,2,1,3,7,8,9,10]
[2,5,1,4,3,6,7,8,9,10]=>[5,2,4,1,3,6,7,8,9,10]
[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]
[8,1,7,2,6,3,5,4,9,10]=>[8,7,6,5,3,2,1,4,9,10]
[2,7,1,6,3,5,4,8,9,10]=>[7,2,6,5,3,1,4,8,9,10]
[3,4,6,1,5,2,7,8,9,10]=>[6,5,3,4,1,2,7,8,9,10]
[3,2,6,1,5,4,7,8,9,10]=>[6,3,2,5,1,4,7,8,9,10]
[3,4,2,5,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]
[2,9,1,8,3,7,4,6,5,10]=>[9,2,8,7,6,4,3,1,5,10]
[3,4,8,1,7,2,6,5,9,10]=>[8,7,3,4,6,2,1,5,9,10]
[3,2,8,1,7,4,6,5,9,10]=>[8,3,2,7,6,4,1,5,9,10]
[5,7,2,4,1,6,3,8,9,10]=>[4,7,6,2,5,1,3,8,9,10]
[3,4,2,7,1,6,5,8,9,10]=>[7,4,3,2,6,1,5,8,9,10]
[4,3,5,2,6,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]
[3,4,10,1,9,2,8,5,7,6]=>[10,9,3,4,8,7,5,2,1,6]
[3,2,10,1,9,4,8,5,7,6]=>[10,3,2,9,8,7,5,4,1,6]
[4,5,6,9,1,8,2,7,3,10]=>[9,8,7,4,5,6,2,1,3,10]
[3,4,2,9,1,8,5,7,6,10]=>[9,4,3,2,8,7,5,1,6,10]
[6,3,5,4,8,1,7,2,9,10]=>[8,7,6,5,3,4,1,2,9,10]
[3,6,8,2,5,1,7,4,9,10]=>[5,8,3,7,2,6,1,4,9,10]
[4,3,5,2,8,1,7,6,9,10]=>[8,5,4,3,2,7,1,6,9,10]
[4,5,3,6,2,7,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]
[6,7,10,2,9,1,5,3,8,4]=>[9,10,5,8,1,6,7,3,2,4]
[6,3,5,4,10,1,9,2,8,7]=>[10,9,6,5,3,4,8,2,1,7]
[3,6,10,2,5,1,9,4,8,7]=>[5,10,3,9,2,6,8,4,1,7]
[4,3,5,2,10,1,9,6,8,7]=>[10,5,4,3,2,9,8,6,1,7]
[4,7,2,9,5,6,1,8,3,10]=>[6,7,8,4,9,5,2,1,3,10]
[4,3,7,9,2,6,1,8,5,10]=>[6,9,4,3,8,2,7,1,5,10]
[4,5,3,6,2,9,1,8,7,10]=>[9,6,5,4,3,2,8,1,7,10]
[5,4,6,3,7,2,8,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]
[5,6,8,3,7,4,10,1,9,2]=>[10,9,8,7,5,6,3,4,1,2]
[8,3,5,2,10,6,7,1,9,4]=>[7,5,8,9,3,10,6,2,1,4]
[4,5,3,8,10,2,7,1,9,6]=>[7,10,5,4,3,9,2,8,1,6]
[5,4,6,3,7,2,10,1,9,8]=>[10,7,6,5,4,3,2,9,1,8]
[10,8,9,4,7,6,1,5,3,2]=>[6,3,5,7,4,9,1,10,8,2]
[10,7,9,5,8,6,1,4,3,2]=>[6,3,4,1,8,9,10,2,7,5]
[10,7,9,4,8,6,1,5,3,2]=>[6,3,5,8,4,9,10,1,7,2]
[10,6,9,4,8,7,1,5,3,2]=>[7,3,5,8,4,9,10,6,1,2]
[10,7,9,3,8,6,1,5,4,2]=>[6,4,5,8,2,9,10,1,7,3]
[10,6,9,3,8,7,1,5,4,2]=>[7,4,5,8,2,9,10,6,1,3]
[9,8,10,5,7,6,1,4,3,2]=>[6,3,4,1,7,10,2,9,8,5]
[9,8,10,4,7,6,1,5,3,2]=>[6,3,5,7,4,10,1,9,8,2]
[9,7,10,5,8,6,1,4,3,2]=>[6,3,4,1,8,10,9,2,7,5]
[9,7,10,4,8,6,1,5,3,2]=>[6,3,5,8,4,10,9,1,7,2]
[9,6,10,4,8,7,1,5,3,2]=>[7,3,5,8,4,10,9,6,1,2]
[9,7,10,3,8,6,1,5,4,2]=>[6,4,5,8,2,10,9,1,7,3]
[9,6,10,3,8,7,1,5,4,2]=>[7,4,5,8,2,10,9,6,1,3]
[8,7,10,5,9,6,1,4,3,2]=>[6,3,4,1,9,10,8,7,2,5]
[8,7,10,4,9,6,1,5,3,2]=>[6,3,5,9,4,10,8,7,1,2]
[8,6,10,4,9,7,1,5,3,2]=>[7,3,5,9,4,10,8,1,6,2]
[7,6,10,4,9,8,1,5,3,2]=>[8,3,5,9,4,7,6,10,1,2]
[8,7,10,3,9,6,1,5,4,2]=>[6,4,5,9,2,10,8,7,1,3]
[8,6,10,3,9,7,1,5,4,2]=>[7,4,5,9,2,10,8,1,6,3]
[7,6,10,3,9,8,1,5,4,2]=>[8,4,5,9,2,7,6,10,1,3]
[9,6,10,5,8,7,1,4,3,2]=>[7,3,4,1,8,10,9,6,2,5]
[9,5,10,4,8,7,1,6,3,2]=>[7,3,6,8,10,4,9,5,1,2]
[9,5,10,3,8,7,1,6,4,2]=>[7,4,6,8,10,2,9,5,1,3]
[8,6,10,5,9,7,1,4,3,2]=>[7,3,4,1,9,10,8,2,6,5]
[8,5,10,4,9,7,1,6,3,2]=>[7,3,6,9,10,4,8,1,5,2]
[7,5,10,4,9,8,1,6,3,2]=>[8,3,6,9,7,4,5,10,1,2]
[8,5,10,3,9,7,1,6,4,2]=>[7,4,6,9,10,2,8,1,5,3]
[7,5,10,3,9,8,1,6,4,2]=>[8,4,6,9,7,2,5,10,1,3]
[8,4,10,3,9,7,1,6,5,2]=>[7,5,6,9,10,4,8,1,2,3]
[7,4,10,3,9,8,1,6,5,2]=>[8,5,6,9,7,4,2,10,1,3]
[9,6,10,2,8,7,1,5,4,3]=>[7,8,4,5,2,10,9,6,1,3]
[9,5,10,2,8,7,1,6,4,3]=>[7,8,4,6,10,2,9,5,1,3]
[8,6,10,2,9,7,1,5,4,3]=>[7,9,4,5,2,10,8,1,6,3]
[8,5,10,2,9,7,1,6,4,3]=>[7,9,4,6,10,2,8,1,5,3]
[7,5,10,2,9,8,1,6,4,3]=>[8,9,4,6,7,2,5,10,1,3]
[8,4,10,2,9,7,1,6,5,3]=>[7,9,5,6,10,2,8,1,3,4]
[2,1,4,3,6,5,10,7,8,9]=>[2,1,4,3,6,5,10,7,8,9]
[2,1,4,3,8,5,6,7,10,9]=>[2,1,4,3,8,5,6,7,10,9]
[2,1,4,3,10,9,6,5,8,7]=>[2,1,4,3,6,9,8,5,10,7]
[2,1,4,3,10,5,6,7,8,9]=>[2,1,4,3,10,5,6,7,8,9]
[2,1,6,3,4,5,8,7,10,9]=>[2,1,6,3,4,5,8,7,10,9]
[2,1,6,3,4,5,10,7,8,9]=>[2,1,6,3,4,5,10,7,8,9]
[2,1,10,7,4,9,6,3,8,5]=>[2,1,6,9,7,10,8,4,3,5]
[2,1,10,9,4,3,6,7,8,5]=>[2,1,4,9,8,3,6,7,10,5]
[2,1,8,3,4,5,6,7,10,9]=>[2,1,8,3,4,5,6,7,10,9]
[2,1,10,9,4,5,6,3,8,7]=>[2,1,6,9,4,5,8,3,10,7]
[2,1,10,3,8,5,4,7,6,9]=>[2,1,10,5,8,7,4,3,6,9]
[4,1,2,3,6,5,10,7,8,9]=>[4,1,2,3,6,5,10,7,8,9]
[4,1,2,3,8,5,6,7,10,9]=>[4,1,2,3,8,5,6,7,10,9]
[4,1,2,3,10,9,6,5,8,7]=>[4,1,2,3,6,9,8,5,10,7]
[6,5,2,1,4,3,8,7,10,9]=>[2,5,4,1,6,3,8,7,10,9]
[6,5,2,1,4,3,10,7,8,9]=>[2,5,4,1,6,3,10,7,8,9]
[8,5,2,7,4,1,6,3,10,9]=>[4,7,5,8,6,2,1,3,10,9]
[10,5,2,7,4,9,6,1,8,3]=>[6,5,9,10,8,7,4,3,1,2]
[10,5,2,9,4,1,6,7,8,3]=>[4,9,5,10,8,2,6,7,1,3]
[8,7,2,1,4,5,6,3,10,9]=>[2,7,6,1,4,5,8,3,10,9]
[10,7,2,9,4,5,6,1,8,3]=>[6,7,10,8,2,5,9,1,3,4]
[10,9,2,1,8,5,4,7,6,3]=>[2,9,6,5,7,8,3,1,10,4]
[10,9,2,1,4,5,6,7,8,3]=>[2,9,8,1,4,5,6,7,10,3]
[6,1,2,3,4,5,8,7,10,9]=>[6,1,2,3,4,5,8,7,10,9]
[8,7,2,3,4,1,6,5,10,9]=>[4,7,2,3,6,1,8,5,10,9]
[10,7,2,3,4,9,6,1,8,5]=>[6,9,1,3,7,10,8,2,4,5]
[10,9,2,3,4,1,6,7,8,5]=>[4,9,2,3,8,1,6,7,10,5]
[8,1,6,3,2,5,4,7,10,9]=>[8,3,6,5,2,1,4,7,10,9]
[10,9,6,3,2,5,4,1,8,7]=>[4,3,5,6,1,9,8,2,10,7]
[10,1,6,3,8,5,2,7,4,9]=>[10,5,8,6,7,1,3,4,2,9]
[10,1,8,3,2,5,6,7,4,9]=>[10,3,8,7,2,5,6,1,4,9]
[10,9,2,3,4,5,6,1,8,7]=>[6,9,2,3,4,5,8,1,10,7]
[10,1,8,3,4,5,2,7,6,9]=>[10,5,8,3,4,7,2,1,6,9]
[10,1,2,7,4,3,6,5,8,9]=>[10,1,4,7,6,3,2,5,8,9]
[8,6,1,2,3,4,5,10,7,9]=>[6,1,2,3,4,8,10,5,7,9]
[5,7,1,2,3,4,10,6,8,9]=>[7,1,2,3,5,10,4,6,8,9]
[6,4,1,2,3,10,5,7,8,9]=>[4,1,2,6,10,3,5,7,8,9]
[5,3,1,2,10,4,6,7,8,9]=>[3,1,5,10,2,4,6,7,8,9]
[2,4,1,10,3,5,6,7,8,9]=>[4,2,10,1,3,5,6,7,8,9]
[7,5,6,4,8,3,9,2,10,1]=>[10,9,8,6,7,5,4,3,2,1]
[8,6,4,5,7,3,9,2,10,1]=>[10,9,7,6,4,8,5,3,2,1]
[9,7,8,5,3,4,6,2,10,1]=>[10,6,5,3,8,4,9,7,2,1]
[9,6,4,5,3,7,8,2,10,1]=>[10,8,5,6,4,9,3,7,2,1]
[9,7,5,3,4,6,8,2,10,1]=>[10,8,5,3,7,4,9,6,2,1]
[9,7,8,6,10,4,2,3,5,1]=>[5,4,2,10,3,8,9,7,6,1]
[10,8,6,7,9,4,2,3,5,1]=>[5,4,2,9,3,8,6,10,7,1]
[10,8,9,5,3,4,2,6,7,1]=>[7,4,5,3,9,2,6,10,8,1]
[10,8,9,6,4,2,3,5,7,1]=>[7,4,2,6,3,9,5,10,8,1]
[10,6,4,5,3,7,2,8,9,1]=>[9,7,5,6,4,10,3,2,8,1]
[10,7,5,3,4,6,2,8,9,1]=>[9,6,5,3,7,4,10,2,8,1]
[10,8,6,7,4,2,3,5,9,1]=>[9,4,2,7,3,8,6,10,5,1]
[10,8,5,3,4,2,6,7,9,1]=>[9,4,5,3,8,2,6,10,7,1]
[10,8,6,4,2,3,5,7,9,1]=>[9,4,2,6,3,8,5,10,7,1]
[8,6,7,5,9,4,10,2,1,3]=>[2,10,1,9,7,8,6,5,4,3]
[9,7,5,6,8,4,10,2,1,3]=>[2,10,1,8,7,5,9,6,4,3]
[10,8,9,6,4,5,7,2,1,3]=>[2,7,1,6,4,9,5,10,8,3]
[10,7,5,6,4,8,9,2,1,3]=>[2,9,1,6,7,5,10,4,8,3]
[10,8,6,4,5,7,9,2,1,3]=>[2,9,1,6,4,8,5,10,7,3]
[8,6,7,5,9,3,2,4,1,10]=>[4,3,9,2,7,8,6,5,1,10]
[9,7,5,6,8,3,2,4,1,10]=>[4,3,8,2,7,5,9,6,1,10]
[10,7,5,6,4,8,2,1,3,9]=>[2,8,1,6,7,5,10,4,3,9]
[10,8,6,4,5,7,2,1,3,9]=>[2,7,1,6,4,8,5,10,3,9]
[8,6,7,4,3,5,2,9,1,10]=>[9,5,4,7,3,8,6,2,1,10]
[9,7,5,6,3,2,4,8,1,10]=>[8,3,6,2,7,5,9,4,1,10]
[10,8,9,6,4,5,2,1,3,7]=>[2,5,1,6,4,9,3,10,8,7]
[10,7,5,6,3,2,4,1,8,9]=>[4,3,6,2,7,5,10,1,8,9]
[10,8,6,4,5,2,1,3,7,9]=>[2,5,1,6,4,8,3,10,7,9]
[7,5,4,6,3,8,2,9,1,10]=>[9,8,6,5,7,4,3,2,1,10]
[8,6,4,3,5,7,2,9,1,10]=>[9,7,4,6,3,8,5,2,1,10]
[9,7,8,6,4,2,3,5,1,10]=>[5,4,2,6,3,8,9,7,1,10]
[9,6,4,3,5,2,7,8,1,10]=>[8,5,4,6,3,9,2,7,1,10]
[9,7,5,3,2,4,6,8,1,10]=>[8,3,5,2,7,4,9,6,1,10]
[9,7,8,6,10,5,3,1,2,4]=>[3,1,5,2,10,8,9,7,6,4]
[10,8,6,7,9,5,3,1,2,4]=>[3,1,5,2,9,8,6,10,7,4]
[10,8,9,7,4,2,3,1,5,6]=>[3,4,2,7,1,5,9,10,8,6]
[10,8,9,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,9,10,8,6]
[10,6,4,3,5,2,7,1,8,9]=>[7,5,4,6,3,10,2,1,8,9]
[10,7,5,3,2,4,6,1,8,9]=>[6,3,5,2,7,4,10,1,8,9]
[10,8,6,7,5,3,1,2,4,9]=>[3,1,5,2,7,8,6,10,4,9]
[10,8,5,3,2,4,1,6,7,9]=>[4,3,5,2,8,1,6,10,7,9]
[1,10,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,10,8,2]
[1,10,8,6,5,4,3,2,7,9]=>[1,3,4,5,6,8,2,10,7,9]
[1,9,7,5,4,3,2,6,10,8]=>[1,3,4,5,7,2,9,10,6,8]
[1,10,8,6,4,3,2,5,9,7]=>[1,3,4,6,2,8,10,9,7,5]
[1,10,8,6,4,9,7,5,3,2]=>[1,3,5,7,6,9,8,10,4,2]
[1,9,7,5,3,10,8,6,4,2]=>[1,4,6,5,8,7,10,9,2,3]
[1,7,10,8,9,6,5,4,3,2]=>[1,3,4,5,6,9,7,10,8,2]
[1,6,10,8,5,4,3,2,7,9]=>[1,3,4,5,8,6,2,10,7,9]
[1,5,9,7,4,3,2,6,10,8]=>[1,3,4,7,5,2,9,10,6,8]
[1,4,10,8,6,3,2,5,9,7]=>[1,3,6,4,2,8,10,9,7,5]
[1,3,10,8,6,4,9,7,5,2]=>[1,5,3,7,6,9,8,10,4,2]
[1,2,9,7,5,3,10,8,6,4]=>[1,2,5,7,6,9,8,10,3,4]
[2,4,1,5,6,7,8,10,3,9]=>[4,2,10,1,5,6,7,8,3,9]
[3,1,5,2,6,7,8,9,10,4]=>[3,5,1,10,2,6,7,8,9,4]
[3,10,9,8,7,1,6,5,4,2]=>[7,4,3,5,6,1,8,9,10,2]
[4,10,9,8,7,1,6,5,3,2]=>[7,3,5,4,6,1,8,9,10,2]
[5,10,9,8,7,1,6,4,3,2]=>[7,3,4,6,5,1,8,9,10,2]
[1,3,5,7,2,9,4,6,8,10]=>[1,7,3,9,5,4,2,6,8,10]
[1,3,5,7,2,9,4,10,6,8]=>[1,7,3,9,5,10,2,6,4,8]
[1,3,5,7,2,8,4,9,6,10]=>[1,7,3,8,5,9,2,4,6,10]
[1,3,5,6,2,7,4,9,8,10]=>[1,6,3,7,5,2,4,9,8,10]
[1,3,4,5,2,7,6,9,8,10]=>[1,5,3,4,2,7,6,9,8,10]
[10,1,2,3,4,5,7,8,9,6]=>[10,1,2,3,4,9,5,7,8,6]
[8,1,2,3,4,5,10,7,9,6]=>[8,1,2,3,4,9,10,5,7,6]
[8,1,2,3,4,5,9,7,10,6]=>[8,1,2,3,4,10,9,5,7,6]
[9,1,2,3,4,10,6,7,8,5]=>[9,1,2,3,8,10,6,7,4,5]
[8,1,2,3,4,10,6,7,9,5]=>[8,1,2,3,9,10,6,4,7,5]
[8,1,2,3,4,9,6,7,10,5]=>[8,1,2,3,10,9,6,4,7,5]
[7,1,2,3,4,9,6,10,8,5]=>[7,1,2,3,8,10,4,9,5,6]
[7,1,2,3,4,8,6,9,10,5]=>[7,1,2,3,10,8,4,6,9,5]
[8,1,2,3,10,5,6,7,9,4]=>[8,1,2,9,10,5,6,3,7,4]
[8,1,2,3,9,5,6,7,10,4]=>[8,1,2,10,9,5,6,3,7,4]
[7,1,2,3,10,5,6,8,9,4]=>[7,1,2,9,10,5,3,6,8,4]
[7,1,2,3,8,5,6,9,10,4]=>[7,1,2,10,8,5,3,6,9,4]
[6,1,2,3,8,5,10,7,9,4]=>[6,1,2,9,8,3,10,5,7,4]
[6,1,2,3,8,5,9,7,10,4]=>[6,1,2,10,8,3,9,5,7,4]
[6,1,2,3,7,5,8,9,10,4]=>[6,1,2,10,7,3,5,8,9,4]
[6,1,2,9,4,5,10,7,8,3]=>[6,1,8,9,4,2,10,7,5,3]
[6,1,2,8,4,5,10,7,9,3]=>[6,1,9,8,4,2,10,5,7,3]
[6,1,2,8,4,5,9,7,10,3]=>[6,1,10,8,4,2,9,5,7,3]
[6,1,2,7,4,5,8,9,10,3]=>[6,1,10,7,4,2,5,8,9,3]
[5,1,2,7,4,9,6,10,8,3]=>[5,1,8,7,2,10,4,9,3,6]
[5,1,2,7,4,8,6,9,10,3]=>[5,1,10,7,2,8,4,6,9,3]
[5,1,2,6,4,7,8,9,10,3]=>[5,1,10,6,2,4,7,8,9,3]
[4,1,6,3,8,5,9,7,10,2]=>[4,10,6,1,8,3,9,5,7,2]
[4,1,6,3,7,5,8,9,10,2]=>[4,10,6,1,7,3,5,8,9,2]
[4,1,5,3,6,7,8,9,10,2]=>[4,10,5,1,3,6,7,8,9,2]
[1,10,9,8,7,6,5,3,2,4]=>[1,3,5,2,6,7,8,9,10,4]
[1,10,9,8,7,6,4,3,2,5]=>[1,3,4,6,2,7,8,9,10,5]
[1,10,9,8,7,5,4,3,2,6]=>[1,3,4,5,7,2,8,9,10,6]
[1,10,9,8,6,5,4,3,2,7]=>[1,3,4,5,6,8,2,9,10,7]
[1,10,9,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,9,2,10,8]
[1,10,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,10,2,9]
[9,10,2,3,4,5,6,7,1,8]=>[7,10,2,3,4,5,6,1,9,8]
[8,9,10,2,3,4,5,6,1,7]=>[6,10,2,3,4,5,1,8,9,7]
[7,8,9,10,2,3,4,5,1,6]=>[5,10,2,3,4,1,7,8,9,6]
[5,6,7,8,9,10,2,3,1,4]=>[3,10,2,1,5,6,7,8,9,4]
[4,5,6,7,8,9,10,2,1,3]=>[2,10,1,4,5,6,7,8,9,3]
[8,10,3,4,5,6,7,2,1,9]=>[2,7,10,3,4,5,6,8,1,9]
[3,10,2,1,5,6,7,8,9,4]=>[2,10,3,9,1,5,6,7,8,4]
[3,9,1,4,5,6,7,8,2,10]=>[9,8,3,1,4,5,6,7,2,10]
[3,4,5,6,7,8,1,9,2,10]=>[8,9,3,4,5,6,7,1,2,10]
[4,5,6,7,8,9,2,10,1,3]=>[10,9,1,4,5,6,7,8,2,3]
[2,10,9,8,7,6,1,5,4,3]=>[6,2,4,5,1,7,8,9,10,3]
[2,10,9,8,1,7,6,5,4,3]=>[8,2,4,5,6,7,1,9,10,3]
[2,10,9,1,8,7,6,5,4,3]=>[9,2,4,5,6,7,8,1,10,3]
[1,3,5,7,9,10,2,4,6,8]=>[1,10,3,2,5,4,7,6,9,8]
[1,3,5,8,9,2,10,4,6,7]=>[1,9,3,10,5,4,6,8,2,7]
[1,3,6,7,2,9,10,4,5,8]=>[1,7,3,10,4,6,2,5,9,8]
[1,3,6,8,9,2,4,10,5,7]=>[1,9,3,2,10,6,5,8,4,7]
[1,3,7,8,2,9,4,10,5,6]=>[1,8,3,9,10,5,7,2,4,6]
[1,4,5,2,7,9,10,3,6,8]=>[1,5,10,4,2,3,7,6,9,8]
[1,4,5,2,8,9,3,10,6,7]=>[1,5,9,4,2,10,6,8,3,7]
[1,4,6,7,2,3,9,10,5,8]=>[1,7,2,4,10,6,3,5,9,8]
[1,5,6,2,7,3,9,10,4,8]=>[1,6,7,10,5,2,3,4,9,8]
[1,4,6,8,9,2,3,5,10,7]=>[1,9,2,4,3,6,10,8,5,7]
[1,4,7,8,2,9,3,5,10,6]=>[1,8,9,4,3,10,7,2,5,6]
[1,5,6,2,8,9,3,4,10,7]=>[1,6,9,3,5,2,10,8,4,7]
[1,5,7,8,2,3,9,4,10,6]=>[1,8,2,9,5,10,7,3,4,6]
[1,6,7,2,8,3,9,4,10,5]=>[1,7,8,9,10,6,2,3,4,5]
[2,3,1,5,7,9,10,4,6,8]=>[3,2,1,10,5,4,7,6,9,8]
[2,3,1,5,8,9,4,10,6,7]=>[3,2,1,9,5,10,6,8,4,7]
[2,3,1,6,7,4,9,10,5,8]=>[3,2,1,7,10,6,4,5,9,8]
[2,3,1,6,8,9,4,5,10,7]=>[3,2,1,9,4,6,10,8,5,7]
[2,3,1,7,8,4,9,5,10,6]=>[3,2,1,8,9,10,7,4,5,6]
[2,4,5,1,3,7,9,10,6,8]=>[5,2,1,4,3,10,7,6,9,8]
[2,4,5,1,3,8,9,6,10,7]=>[5,2,1,4,3,9,10,8,6,7]
[3,4,1,5,2,7,9,10,6,8]=>[4,5,3,1,2,10,7,6,9,8]
[3,4,1,5,2,8,9,6,10,7]=>[4,5,3,1,2,9,10,8,6,7]
[2,4,6,7,1,3,5,9,10,8]=>[7,2,1,4,3,6,5,10,9,8]
[2,5,6,1,7,3,4,9,10,8]=>[6,2,7,3,5,1,4,10,9,8]
[3,4,1,6,7,2,5,9,10,8]=>[4,7,3,1,2,6,5,10,9,8]
[3,5,6,1,2,7,4,9,10,8]=>[6,1,3,7,5,2,4,10,9,8]
[4,5,1,6,2,7,3,9,10,8]=>[5,6,7,4,1,2,3,10,9,8]
[2,4,6,8,9,1,3,5,7,10]=>[9,2,1,4,3,6,5,8,7,10]
[2,4,7,8,1,9,3,5,6,10]=>[8,2,9,4,3,5,7,1,6,10]
[2,5,6,1,8,9,3,4,7,10]=>[6,2,9,3,5,1,4,8,7,10]
[2,5,7,8,1,3,9,4,6,10]=>[8,2,1,9,5,4,7,3,6,10]
[2,6,7,1,8,3,9,4,5,10]=>[7,2,8,9,4,6,1,3,5,10]
[3,4,1,6,8,9,2,5,7,10]=>[4,9,3,1,2,6,5,8,7,10]
[3,4,1,7,8,2,9,5,6,10]=>[4,8,3,1,9,5,7,2,6,10]
[3,5,6,1,2,8,9,4,7,10]=>[6,1,3,9,5,2,4,8,7,10]
[4,5,1,6,2,8,9,3,7,10]=>[5,6,9,4,1,2,3,8,7,10]
[3,5,7,8,1,2,4,9,6,10]=>[8,1,3,2,5,9,7,4,6,10]
[3,6,7,1,8,2,4,9,5,10]=>[7,8,3,2,9,6,1,4,5,10]
[4,5,1,7,8,2,3,9,6,10]=>[5,8,2,4,1,9,7,3,6,10]
[4,6,7,1,2,8,3,9,5,10]=>[7,1,8,4,9,6,2,3,5,10]
[5,6,1,7,2,8,3,9,4,10]=>[6,7,8,9,5,1,2,3,4,10]
[1,2,3,4,5,6,8,9,7,10]=>[1,2,3,4,5,6,9,8,7,10]
[7,5,4,6,8,3,9,2,10,1]=>[10,9,8,5,7,4,6,3,2,1]
[7,6,8,4,3,5,9,2,10,1]=>[10,9,4,8,3,7,6,5,2,1]
[8,5,4,6,3,7,9,2,10,1]=>[10,9,6,5,8,4,3,7,2,1]
[8,6,4,3,5,7,9,2,10,1]=>[10,9,4,6,3,8,5,7,2,1]
[7,6,8,5,9,3,2,4,10,1]=>[10,3,9,2,8,7,6,5,4,1]
[8,6,5,7,9,3,2,4,10,1]=>[10,3,9,2,6,8,5,7,4,1]
[8,7,9,4,3,5,2,6,10,1]=>[10,5,4,9,3,2,8,7,6,1]
[8,7,9,5,3,2,4,6,10,1]=>[10,3,5,2,9,4,8,7,6,1]
[9,5,4,6,3,7,2,8,10,1]=>[10,7,6,5,9,4,3,2,8,1]
[9,6,4,3,5,7,2,8,10,1]=>[10,7,4,6,3,9,5,2,8,1]
[9,6,5,7,3,2,4,8,10,1]=>[10,3,7,2,6,9,5,4,8,1]
[9,7,4,3,5,2,6,8,10,1]=>[10,5,4,7,3,2,9,6,8,1]
[9,7,5,3,2,4,6,8,10,1]=>[10,3,5,2,7,4,9,6,8,1]
[7,6,8,5,9,4,10,2,1,3]=>[2,10,1,9,8,7,6,5,4,3]
[8,6,5,7,9,4,10,2,1,3]=>[2,10,1,9,6,8,5,7,4,3]
[8,7,9,5,4,6,10,2,1,3]=>[2,10,1,5,9,4,8,7,6,3]
[9,6,5,7,4,8,10,2,1,3]=>[2,10,1,7,6,9,5,4,8,3]
[9,7,5,4,6,8,10,2,1,3]=>[2,10,1,5,7,4,9,6,8,3]
[8,7,9,6,10,3,2,4,1,5]=>[4,3,10,2,1,9,8,7,6,5]
[9,7,6,8,10,4,2,1,3,5]=>[2,4,1,10,3,7,9,6,8,5]
[9,8,10,4,3,5,2,6,1,7]=>[6,5,4,10,3,2,1,9,8,7]
[9,8,10,5,3,2,4,6,1,7]=>[6,3,5,2,10,4,1,9,8,7]
[9,8,10,5,4,6,2,1,3,7]=>[2,6,1,5,10,4,3,9,8,7]
[9,8,10,6,3,2,4,1,5,7]=>[4,3,6,2,1,10,5,9,8,7]
[9,8,10,6,4,2,1,3,5,7]=>[2,4,1,6,3,10,5,9,8,7]
[10,5,4,6,3,7,2,8,1,9]=>[8,7,6,5,10,4,3,2,1,9]
[10,6,4,3,5,7,2,8,1,9]=>[8,7,4,6,3,10,5,2,1,9]
[10,6,5,7,3,2,4,8,1,9]=>[8,3,7,2,6,10,5,4,1,9]
[10,7,4,3,5,2,6,8,1,9]=>[8,5,4,7,3,2,10,6,1,9]
[10,7,5,3,2,4,6,8,1,9]=>[8,3,5,2,7,4,10,6,1,9]
[10,6,5,7,4,8,2,1,3,9]=>[2,8,1,7,6,10,5,4,3,9]
[10,7,5,4,6,8,2,1,3,9]=>[2,8,1,5,7,4,10,6,3,9]
[10,7,6,8,3,2,4,1,5,9]=>[4,3,8,2,1,7,10,6,5,9]
[10,7,6,8,4,2,1,3,5,9]=>[2,4,1,8,3,7,10,6,5,9]
[10,8,4,3,5,2,6,1,7,9]=>[6,5,4,8,3,2,1,10,7,9]
[10,8,5,3,2,4,6,1,7,9]=>[6,3,5,2,8,4,1,10,7,9]
[10,8,5,4,6,2,1,3,7,9]=>[2,6,1,5,8,4,3,10,7,9]
[10,8,6,3,2,4,1,5,7,9]=>[4,3,6,2,1,8,5,10,7,9]
[10,1,2,3,4,5,9,7,6,8]=>[10,1,2,3,4,7,9,6,5,8]
[10,1,2,3,4,9,6,7,5,8]=>[10,1,2,3,7,9,6,5,4,8]
[9,1,2,3,10,5,6,7,4,8]=>[9,1,2,7,10,5,6,4,3,8]
[10,1,2,9,4,5,6,7,3,8]=>[10,1,7,9,4,5,6,3,2,8]
[10,1,9,3,4,5,6,7,2,8]=>[10,7,9,3,4,5,6,2,1,8]
[8,1,2,3,4,5,10,6,9,7]=>[8,1,2,3,4,10,9,5,6,7]
[7,1,2,3,4,9,5,6,10,8]=>[7,1,2,3,9,5,4,10,6,8]
[6,1,2,3,9,4,5,7,10,8]=>[6,1,2,9,4,3,5,10,7,8]
[5,1,2,10,3,4,6,7,9,8]=>[5,1,10,3,2,4,6,9,7,8]
[4,1,9,2,3,5,6,7,10,8]=>[4,9,2,1,3,5,6,10,7,8]
[3,9,1,2,4,5,6,7,10,8]=>[9,1,3,2,4,5,6,10,7,8]
[10,2,1,3,4,5,6,7,9,8]=>[2,10,1,3,4,5,6,9,7,8]
[1,2,3,4,5,7,8,6,9,10]=>[1,2,3,4,5,8,7,6,9,10]
[1,2,3,4,5,7,8,9,6,10]=>[1,2,3,4,5,9,7,8,6,10]
[2,4,5,6,1,7,8,9,10,3]=>[6,2,10,4,5,1,7,8,9,3]
[2,3,5,6,1,7,8,9,10,4]=>[6,2,3,10,5,1,7,8,9,4]
[10,1,4,6,2,7,9,3,5,8]=>[10,6,9,1,3,4,2,5,7,8]
[4,1,2,10,6,7,9,3,5,8]=>[4,1,9,2,3,10,6,5,7,8]
[7,1,10,6,2,3,9,4,5,8]=>[7,6,2,10,3,9,1,5,4,8]
[10,1,2,7,6,3,9,4,5,8]=>[10,1,6,7,3,9,2,5,4,8]
[10,1,2,3,6,7,9,4,5,8]=>[10,1,2,9,4,3,6,5,7,8]
[6,1,4,5,2,10,9,3,7,8]=>[6,5,9,1,4,2,3,7,10,8]
[4,1,2,5,6,10,9,3,7,8]=>[4,1,9,2,5,6,3,7,10,8]
[10,1,6,5,2,3,9,4,7,8]=>[10,5,2,6,9,1,3,7,4,8]
[10,1,2,5,6,3,9,4,7,8]=>[10,1,6,9,2,5,4,7,3,8]
[5,1,2,3,6,10,9,4,7,8]=>[5,1,2,9,3,6,4,7,10,8]
[10,1,9,5,2,3,4,6,7,8]=>[10,5,2,3,9,4,6,7,1,8]
[10,1,2,5,9,3,4,6,7,8]=>[10,1,9,3,2,4,6,7,5,8]
[9,8,10,1,4,5,6,7,2,3]=>[10,7,2,1,4,5,6,9,8,3]
[6,9,1,2,3,4,5,7,10,8]=>[9,1,2,3,4,6,5,10,7,8]
[5,6,9,1,2,3,4,7,10,8]=>[9,1,2,3,5,6,4,10,7,8]
[4,5,6,9,1,2,3,7,10,8]=>[9,1,2,4,5,6,3,10,7,8]
[3,4,5,6,9,1,2,7,10,8]=>[9,1,3,4,5,6,2,10,7,8]
[2,3,4,5,6,9,1,7,10,8]=>[9,2,3,4,5,6,1,10,7,8]
[7,1,10,9,2,3,4,5,6,8]=>[7,9,2,3,4,5,1,6,10,8]
[6,7,9,1,2,3,4,5,10,8]=>[9,1,2,3,4,6,7,10,5,8]
[2,8,1,9,10,3,4,5,6,7]=>[8,2,10,3,4,5,6,1,9,7]
[8,7,1,10,2,3,4,5,6,9]=>[7,8,1,3,4,5,10,2,6,9]
[1,5,2,8,6,3,10,9,7,4]=>[1,5,6,8,2,7,9,4,10,3]
[4,1,5,2,8,6,3,10,9,7]=>[4,5,6,1,2,8,9,3,10,7]
[1,7,5,2,8,6,3,10,9,4]=>[1,5,7,6,8,9,3,2,10,4]
[4,1,7,5,2,8,3,10,9,6]=>[4,5,7,1,8,9,3,2,10,6]
[6,4,1,7,5,2,8,3,10,9]=>[4,6,5,7,8,2,1,3,10,9]
[3,4,1,7,2,8,5,10,9,6]=>[4,7,3,1,8,9,2,5,10,6]
[3,6,4,1,7,2,8,5,10,9]=>[4,6,3,7,8,2,1,5,10,9]
[1,5,2,9,8,6,3,10,7,4]=>[1,5,6,8,2,7,9,10,3,4]
[4,1,5,2,9,8,6,3,10,7]=>[4,5,6,1,2,8,9,10,7,3]
[1,7,5,2,9,6,3,10,8,4]=>[1,5,7,6,9,8,3,10,2,4]
[4,1,7,5,2,9,3,10,8,6]=>[4,5,7,1,9,8,3,10,2,6]
[4,1,9,6,5,2,7,3,10,8]=>[4,5,6,1,9,7,2,10,3,8]
[3,4,1,7,2,9,5,10,8,6]=>[4,7,3,1,9,8,2,10,5,6]
[3,6,1,9,4,2,7,5,10,8]=>[6,4,3,9,7,1,2,10,5,8]
[1,8,7,5,2,9,6,3,10,4]=>[1,5,7,6,8,9,10,2,4,3]
[4,1,8,7,5,2,9,3,10,6]=>[4,5,7,1,8,9,10,2,6,3]
[6,4,1,8,5,2,9,3,10,7]=>[4,6,5,8,9,2,10,1,3,7]
[7,6,4,1,8,5,2,9,3,10]=>[4,6,5,7,8,9,1,3,2,10]
[3,4,1,8,7,2,9,5,10,6]=>[4,7,3,1,8,9,10,5,6,2]
[3,6,4,1,8,2,9,5,10,7]=>[4,6,3,8,9,2,10,1,5,7]
[3,7,6,4,1,8,2,9,5,10]=>[4,6,3,7,8,9,1,5,2,10]
[1,9,6,5,2,7,3,10,8,4]=>[1,5,6,9,7,8,4,10,2,3]
[6,1,9,4,2,7,3,10,8,5]=>[6,4,9,7,8,1,3,10,2,5]
[5,4,1,9,6,2,7,3,10,8]=>[4,5,6,9,2,7,1,10,3,8]
[9,3,1,6,2,7,4,10,8,5]=>[3,9,6,7,8,2,1,10,4,5]
[9,5,3,1,6,2,7,4,10,8]=>[3,5,9,6,7,1,4,10,2,8]
[6,1,8,5,2,9,7,3,10,4]=>[6,5,8,7,9,1,10,3,2,4]
[6,4,1,8,2,9,7,3,10,5]=>[4,6,8,7,9,2,10,3,5,1]
[8,5,4,1,6,2,9,3,10,7]=>[4,5,8,6,9,3,10,1,2,7]
[5,7,4,1,8,6,2,9,3,10]=>[4,7,6,8,5,9,2,1,3,10]
[3,6,1,8,2,9,7,4,10,5]=>[6,8,3,7,9,1,10,2,5,4]
[5,8,3,1,6,2,9,4,10,7]=>[3,8,6,9,5,2,10,1,4,7]
[5,3,7,1,8,6,2,9,4,10]=>[7,6,5,8,3,9,1,4,2,10]
[4,3,8,1,9,5,2,6,10,7]=>[8,5,4,3,9,2,10,1,6,7]
[7,4,3,5,1,8,2,9,6,10]=>[5,8,4,7,3,9,1,2,6,10]
[9,6,2,1,3,7,4,10,8,5]=>[2,6,1,9,7,8,4,10,5,3]
[5,9,2,1,6,3,7,4,10,8]=>[2,9,6,7,5,1,3,10,4,8]
[6,8,2,1,3,9,7,4,10,5]=>[2,8,1,7,9,6,10,3,5,4]
[8,2,5,1,6,3,9,4,10,7]=>[5,8,6,9,2,1,10,3,4,7]
[2,5,7,1,8,6,3,9,4,10]=>[7,2,6,8,5,9,1,4,3,10]
[2,4,8,1,9,5,3,6,10,7]=>[8,2,5,4,9,3,10,1,6,7]
[5,6,4,3,2,1,7,8,9,10]=>[2,3,4,6,5,1,7,8,9,10]
[6,7,5,4,3,2,1,8,9,10]=>[2,3,4,5,7,6,1,8,9,10]
[7,8,10,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,10,1]
[8,7,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,8,7,9,1]
[1,7,8,10,4,5,9,2,6,3]=>[1,9,6,10,4,2,7,8,5,3]
[1,5,9,10,2,7,8,3,6,4]=>[1,10,8,6,5,3,2,7,9,4]
[1,4,9,10,2,7,8,5,6,3]=>[1,10,6,4,8,5,2,7,9,3]
[3,4,9,10,1,7,8,5,6,2]=>[10,6,3,4,8,5,1,7,9,2]
[3,6,9,10,1,7,8,4,5,2]=>[10,5,3,8,4,6,1,7,9,2]
[1,8,9,10,4,5,7,2,6,3]=>[1,7,6,10,4,2,5,8,9,3]
[1,8,9,10,4,6,7,2,5,3]=>[1,7,5,10,2,4,6,8,9,3]
[1,6,9,10,2,7,8,4,5,3]=>[1,10,5,8,4,6,2,7,9,3]
[1,6,9,10,3,7,8,4,5,2]=>[1,5,10,8,4,6,3,7,9,2]
[5,6,9,10,1,7,8,3,4,2]=>[10,4,8,3,5,6,1,7,9,2]
[1,8,9,10,2,6,7,4,5,3]=>[1,10,5,7,4,2,6,8,9,3]
[1,8,9,10,5,6,7,2,4,3]=>[1,7,4,2,10,5,6,8,9,3]
[1,8,9,10,3,6,7,4,5,2]=>[1,5,10,7,4,3,6,8,9,2]
[1,8,9,10,5,6,7,3,4,2]=>[1,4,7,3,10,5,6,8,9,2]
[7,8,9,10,1,5,6,3,4,2]=>[10,4,6,3,1,5,7,8,9,2]
[2,8,9,10,5,6,7,3,4,1]=>[4,2,7,3,10,5,6,8,9,1]
[4,3,1,6,2,8,5,10,7,9]=>[3,4,6,2,8,1,10,5,7,9]
[6,3,1,5,2,8,4,10,7,9]=>[3,6,5,8,2,1,10,4,7,9]
[8,3,1,5,2,7,4,10,6,9]=>[3,8,5,7,2,10,1,4,6,9]
[9,3,1,5,2,7,4,6,10,8]=>[3,9,5,7,2,4,1,10,6,8]
[7,3,1,5,2,4,9,6,10,8]=>[3,7,5,1,2,9,4,10,6,8]
[5,3,1,2,7,4,9,6,10,8]=>[3,1,5,7,2,9,4,10,6,8]
[8,3,1,5,6,2,4,10,7,9]=>[3,8,6,1,2,5,10,4,7,9]
[10,3,1,5,2,7,8,4,6,9]=>[3,10,5,8,2,4,1,7,6,9]
[8,3,1,5,2,7,4,9,10,6]=>[3,8,5,7,2,10,1,4,9,6]
[10,3,1,5,2,7,4,6,8,9]=>[3,10,5,7,2,4,1,6,8,9]
[7,3,1,5,2,4,10,9,6,8]=>[3,7,5,1,2,9,4,6,10,8]
[5,3,1,2,9,7,4,6,10,8]=>[3,1,5,7,2,4,9,10,6,8]
[3,1,7,5,2,4,9,6,10,8]=>[3,5,1,2,7,9,4,10,6,8]
[10,9,8,5,7,6,4,3,2,1]=>[2,3,4,6,7,8,1,9,10,5]
[10,9,8,4,7,6,5,3,2,1]=>[2,3,5,6,7,8,4,9,10,1]
[10,9,4,8,7,6,5,3,2,1]=>[2,3,5,6,7,8,9,1,10,4]
[10,3,9,8,7,6,5,4,2,1]=>[2,4,5,6,7,8,9,10,1,3]
[10,2,9,8,7,6,5,4,3,1]=>[3,4,5,6,7,8,9,10,2,1]
[9,10,2,1,6,4,3,5,7,8]=>[2,10,4,6,3,1,5,7,9,8]
[7,10,2,1,8,4,3,5,6,9]=>[2,10,4,8,3,5,7,1,6,9]
[2,9,1,10,7,4,3,5,6,8]=>[9,2,4,7,3,5,10,6,1,8]
[2,8,1,9,4,3,10,5,6,7]=>[8,2,4,9,10,5,6,1,3,7]
[10,8,5,2,1,6,3,4,7,9]=>[2,5,8,1,6,3,4,10,7,9]
[9,5,2,1,10,6,3,4,7,8]=>[2,5,9,1,6,10,4,7,3,8]
[10,7,2,1,8,5,3,4,6,9]=>[2,7,5,1,10,4,8,3,6,9]
[9,2,1,10,7,5,3,4,6,8]=>[2,9,5,3,7,4,10,6,1,8]
[2,8,1,9,3,10,5,4,6,7]=>[8,2,9,5,10,4,6,1,3,7]
[10,6,2,1,7,3,8,4,5,9]=>[2,6,10,7,1,8,3,4,5,9]
[9,2,1,10,6,3,7,4,5,8]=>[2,9,6,10,3,7,4,5,1,8]
[8,2,1,9,3,10,6,4,5,7]=>[2,8,9,6,4,10,5,1,3,7]
[7,2,1,8,3,9,4,10,5,6]=>[2,7,8,9,10,5,1,3,4,6]
[10,8,6,3,1,4,2,5,7,9]=>[3,6,4,2,1,8,5,10,7,9]
[3,9,1,10,6,4,2,5,7,8]=>[9,4,3,6,2,10,5,7,1,8]
[10,7,3,1,8,4,2,5,6,9]=>[3,7,4,10,2,5,8,1,6,9]
[9,3,1,10,7,4,2,5,6,8]=>[3,9,4,7,1,5,10,6,2,8]
[8,3,1,9,4,2,10,5,6,7]=>[3,8,4,9,10,5,6,2,1,7]
[10,8,5,1,6,3,2,4,7,9]=>[5,3,8,1,6,2,4,10,7,9]
[9,5,1,10,6,3,2,4,7,8]=>[5,3,9,1,6,10,4,7,2,8]
[10,7,1,8,5,3,2,4,6,9]=>[7,3,5,1,10,4,8,2,6,9]
[9,1,10,7,5,3,2,4,6,8]=>[9,3,5,2,7,4,10,6,1,8]
[8,3,1,9,2,10,5,4,6,7]=>[3,8,9,5,10,4,6,2,1,7]
[10,6,1,7,3,2,8,4,5,9]=>[6,3,10,7,1,8,2,4,5,9]
[9,1,10,6,3,2,7,4,5,8]=>[9,3,6,10,2,7,4,5,1,8]
[8,1,9,3,2,10,6,4,5,7]=>[8,3,9,6,4,10,5,1,2,7]
[7,1,8,3,2,9,4,10,5,6]=>[7,3,8,9,10,5,1,2,4,6]
[10,8,4,1,5,2,6,3,7,9]=>[4,8,5,6,2,3,1,10,7,9]
[9,4,1,10,5,2,6,3,7,8]=>[4,9,5,10,6,1,3,7,2,8]
[10,7,1,8,4,2,5,3,6,9]=>[7,4,10,5,1,2,8,3,6,9]
[9,1,10,7,4,2,5,3,6,8]=>[9,4,7,5,3,2,10,6,1,8]
[8,1,9,4,2,10,5,3,6,7]=>[8,4,9,5,10,2,6,1,3,7]
[10,6,1,7,2,8,4,3,5,9]=>[6,10,4,7,1,8,2,3,5,9]
[9,1,10,6,2,7,4,3,5,8]=>[9,6,4,10,2,7,3,5,1,8]
[8,1,9,2,10,6,4,3,5,7]=>[8,9,4,6,3,10,5,1,2,7]
[7,1,8,2,9,4,3,10,5,6]=>[7,8,4,9,10,5,1,2,3,6]
[10,5,1,6,2,7,3,8,4,9]=>[5,10,6,7,8,2,3,4,1,9]
[9,1,10,5,2,6,3,7,4,8]=>[9,5,10,6,7,3,4,2,1,8]
[8,1,9,2,10,5,3,6,4,7]=>[8,9,5,10,6,4,3,1,2,7]
[7,1,8,2,9,3,10,5,4,6]=>[7,8,9,5,10,4,1,2,3,6]
[2,1,9,10,3,4,5,6,7,8]=>[2,1,10,3,4,5,6,7,9,8]
[4,2,1,3,6,5,8,7,10,9]=>[2,4,1,3,6,5,8,7,10,9]
[6,2,4,1,3,5,8,7,10,9]=>[4,6,1,2,3,5,8,7,10,9]
[8,2,4,1,6,3,5,7,10,9]=>[4,8,6,2,3,1,5,7,10,9]
[10,2,4,1,6,3,8,5,7,9]=>[4,10,6,2,8,1,5,3,7,9]
[9,2,4,1,6,3,8,5,7,10]=>[4,9,6,2,8,1,5,3,7,10]
[7,2,4,1,6,3,5,9,8,10]=>[4,7,6,2,3,1,5,9,8,10]
[5,2,4,1,3,7,6,9,8,10]=>[4,5,1,2,3,7,6,9,8,10]
[10,2,3,1,4,5,6,7,8,9]=>[3,10,2,1,4,5,6,7,8,9]
[10,9,8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,9,10,1]
[10,9,8,4,5,7,6,3,2,1]=>[2,3,6,7,1,8,5,9,10,4]
[10,9,8,5,4,6,7,3,2,1]=>[2,3,7,5,8,4,6,9,10,1]
[10,1,2,3,4,5,8,6,9,7]=>[10,1,2,3,4,8,9,5,6,7]
[9,1,2,3,4,7,5,6,10,8]=>[9,1,2,3,7,5,4,10,6,8]
[9,1,2,3,6,4,5,7,10,8]=>[9,1,2,6,4,3,5,10,7,8]
[10,1,2,5,3,4,6,7,9,8]=>[10,1,5,3,2,4,6,9,7,8]
[9,1,4,2,3,5,6,7,10,8]=>[9,4,2,1,3,5,6,10,7,8]
[1,9,2,3,4,5,6,7,10,8]=>[1,9,2,3,4,5,6,10,7,8]
[2,1,10,3,4,5,6,7,9,8]=>[2,1,10,3,4,5,6,9,7,8]
[1,4,9,2,3,5,6,7,10,8]=>[1,9,2,4,3,5,6,10,7,8]
[8,1,3,4,5,6,9,7,10,2]=>[8,10,1,3,4,5,9,6,7,2]
[4,1,5,10,2,3,6,7,9,8]=>[4,10,2,1,5,3,6,9,7,8]
[3,9,10,1,2,4,5,7,6,8]=>[10,1,3,2,4,7,5,6,9,8]
[1,3,5,8,9,7,10,6,4,2]=>[1,4,3,6,5,10,9,8,7,2]
[1,3,6,7,5,9,10,8,4,2]=>[1,4,3,8,7,6,5,10,9,2]
[1,3,6,8,9,7,5,10,4,2]=>[1,4,3,10,7,6,9,8,5,2]
[1,3,7,8,6,9,5,10,4,2]=>[1,4,3,10,9,8,7,6,5,2]
[1,4,5,3,7,9,10,8,6,2]=>[1,6,5,4,3,8,7,10,9,2]
[1,4,5,3,8,9,7,10,6,2]=>[1,6,5,4,3,10,9,8,7,2]
[1,4,6,7,5,3,9,10,8,2]=>[1,8,5,4,7,6,3,10,9,2]
[1,5,6,4,7,3,9,10,8,2]=>[1,8,7,6,5,4,3,10,9,2]
[1,4,6,8,9,7,5,3,10,2]=>[1,10,5,4,7,6,9,8,3,2]
[1,4,7,8,6,9,5,3,10,2]=>[1,10,5,4,9,8,7,6,3,2]
[1,5,6,4,8,9,7,3,10,2]=>[1,10,7,6,5,4,9,8,3,2]
[1,5,7,8,6,4,9,3,10,2]=>[1,10,9,6,5,8,7,4,3,2]
[2,3,1,5,7,9,10,8,6,4]=>[3,2,1,6,5,8,7,10,9,4]
[2,3,1,5,8,9,7,10,6,4]=>[3,2,1,6,5,10,9,8,7,4]
[2,3,1,6,7,5,9,10,8,4]=>[3,2,1,8,7,6,5,10,9,4]
[2,3,1,6,8,9,7,5,10,4]=>[3,2,1,10,7,6,9,8,5,4]
[2,3,1,7,8,6,9,5,10,4]=>[3,2,1,10,9,8,7,6,5,4]
[2,4,5,3,1,7,9,10,8,6]=>[3,2,5,4,1,8,7,10,9,6]
[2,4,5,3,1,8,9,7,10,6]=>[3,2,5,4,1,10,9,8,7,6]
[3,4,2,5,1,7,9,10,8,6]=>[5,4,3,2,1,8,7,10,9,6]
[3,4,2,5,1,8,9,7,10,6]=>[5,4,3,2,1,10,9,8,7,6]
[2,4,6,7,5,3,1,9,10,8]=>[3,2,5,4,7,6,1,10,9,8]
[2,5,6,4,7,3,1,9,10,8]=>[3,2,7,6,5,4,1,10,9,8]
[3,4,2,6,7,5,1,9,10,8]=>[5,4,3,2,7,6,1,10,9,8]
[3,5,6,4,2,7,1,9,10,8]=>[7,4,3,6,5,2,1,10,9,8]
[4,5,3,6,2,7,1,9,10,8]=>[7,6,5,4,3,2,1,10,9,8]
[2,4,6,8,9,7,5,3,1,10]=>[3,2,5,4,7,6,9,8,1,10]
[2,4,7,8,6,9,5,3,1,10]=>[3,2,5,4,9,8,7,6,1,10]
[2,5,6,4,8,9,7,3,1,10]=>[3,2,7,6,5,4,9,8,1,10]
[2,5,7,8,6,4,9,3,1,10]=>[3,2,9,6,5,8,7,4,1,10]
[2,6,7,5,8,4,9,3,1,10]=>[3,2,9,8,7,6,5,4,1,10]
[3,4,2,6,8,9,7,5,1,10]=>[5,4,3,2,7,6,9,8,1,10]
[3,4,2,7,8,6,9,5,1,10]=>[5,4,3,2,9,8,7,6,1,10]
[3,5,6,4,2,8,9,7,1,10]=>[7,4,3,6,5,2,9,8,1,10]
[4,5,3,6,2,8,9,7,1,10]=>[7,6,5,4,3,2,9,8,1,10]
[3,5,7,8,6,4,2,9,1,10]=>[9,4,3,6,5,8,7,2,1,10]
[3,6,7,5,8,4,2,9,1,10]=>[9,4,3,8,7,6,5,2,1,10]
[4,5,3,7,8,6,2,9,1,10]=>[9,6,5,4,3,8,7,2,1,10]
[4,6,7,5,3,8,2,9,1,10]=>[9,8,5,4,7,6,3,2,1,10]
[9,10,1,3,4,5,6,7,8,2]=>[10,8,1,3,4,5,6,7,9,2]
[1,10,2,4,5,6,7,8,9,3]=>[1,10,9,2,4,5,6,7,8,3]
[8,9,10,1,3,4,5,6,7,2]=>[10,7,1,3,4,5,6,8,9,2]
[1,9,10,2,4,5,6,7,8,3]=>[1,10,8,2,4,5,6,7,9,3]
[10,1,9,2,4,5,6,7,8,3]=>[10,9,8,2,4,5,6,7,1,3]
[1,2,10,3,5,6,7,8,9,4]=>[1,2,10,9,3,5,6,7,8,4]
[1,8,9,10,2,4,5,6,7,3]=>[1,10,7,2,4,5,6,8,9,3]
[10,1,8,9,2,4,5,6,7,3]=>[10,9,7,2,4,5,6,1,8,3]
[1,2,9,10,3,5,6,7,8,4]=>[1,2,10,8,3,5,6,7,9,4]
[1,10,2,9,3,5,6,7,8,4]=>[1,10,9,8,3,5,6,7,2,4]
[1,2,3,10,4,6,7,8,9,5]=>[1,2,3,10,9,4,6,7,8,5]
[10,1,7,8,9,2,4,5,6,3]=>[10,9,6,2,4,5,1,7,8,3]
[1,2,8,9,10,3,5,6,7,4]=>[1,2,10,7,3,5,6,8,9,4]
[9,10,1,7,8,2,4,5,6,3]=>[10,8,6,2,4,5,1,7,9,3]
[1,2,3,9,10,4,6,7,8,5]=>[1,2,3,10,8,4,6,7,9,5]
[10,1,9,2,8,3,5,6,7,4]=>[10,9,8,7,3,5,6,2,1,4]
[1,2,10,3,9,4,6,7,8,5]=>[1,2,10,9,8,4,6,7,3,5]
[1,2,3,4,10,5,7,8,9,6]=>[1,2,3,4,10,9,5,7,8,6]
[1,9,10,2,7,8,3,5,6,4]=>[1,10,8,6,3,5,2,7,9,4]
[10,1,9,2,7,8,3,5,6,4]=>[10,9,8,6,3,5,2,7,1,4]
[1,2,10,3,8,9,4,6,7,5]=>[1,2,10,9,7,4,6,3,8,5]
[1,2,3,4,9,10,5,7,8,6]=>[1,2,3,4,10,8,5,7,9,6]
[1,10,2,9,3,8,4,6,7,5]=>[1,10,9,8,7,4,6,3,2,5]
[1,2,3,10,4,9,5,7,8,6]=>[1,2,3,10,9,8,5,7,4,6]
[1,2,3,4,5,10,6,8,9,7]=>[1,2,3,4,5,10,9,6,8,7]
[1,2,3,4,10,5,9,6,8,7]=>[1,2,3,4,10,9,8,6,5,7]
[1,2,3,4,5,6,10,7,9,8]=>[1,2,3,4,5,6,10,9,7,8]
[9,8,7,5,4,6,3,2,1,10]=>[2,3,6,5,7,4,8,9,1,10]
[10,8,9,7,5,6,4,2,3,1]=>[3,4,2,6,7,5,9,10,8,1]
[10,9,7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,9,7,10,6]
[10,9,7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,9,7,10,6]
[10,8,9,6,2,3,4,5,7,1]=>[7,6,2,3,4,9,5,10,8,1]
[8,9,1,2,3,4,5,10,6,7]=>[9,1,2,3,4,10,6,8,5,7]
[3,9,10,1,2,4,5,6,7,8]=>[10,1,3,2,4,5,6,7,9,8]
[1,3,4,2,5,6,7,8,9,10]=>[1,4,3,2,5,6,7,8,9,10]
[1,2,4,5,6,3,7,8,9,10]=>[1,2,6,4,5,3,7,8,9,10]
[1,2,3,5,6,7,8,4,9,10]=>[1,2,3,8,5,6,7,4,9,10]
[2,1,5,3,6,7,4,8,9,10]=>[2,1,5,7,3,6,4,8,9,10]
[1,3,5,6,4,2,7,8,9,10]=>[1,4,3,6,5,2,7,8,9,10]
[3,5,2,1,6,4,7,8,9,10]=>[2,5,3,6,1,4,7,8,9,10]
[2,1,3,6,4,7,8,9,5,10]=>[2,1,3,6,9,4,7,8,5,10]
[1,3,4,6,7,2,8,5,9,10]=>[1,7,3,4,8,6,2,5,9,10]
[3,2,6,1,4,7,8,5,9,10]=>[6,3,2,1,8,4,7,5,9,10]
[2,4,6,1,7,5,3,8,9,10]=>[6,2,5,4,7,1,3,8,9,10]
[4,6,3,2,1,7,5,8,9,10]=>[2,3,6,4,7,1,5,8,9,10]
[1,3,4,2,7,8,5,9,10,6]=>[1,4,3,2,8,10,7,5,9,6]
[3,2,1,7,4,5,8,9,10,6]=>[2,3,1,7,4,10,5,8,9,6]
[1,2,4,5,7,8,9,6,3,10]=>[1,2,6,4,5,9,7,8,3,10]
[4,3,7,2,1,5,8,9,6,10]=>[2,7,4,3,1,9,5,8,6,10]
[1,3,5,7,8,6,4,2,9,10]=>[1,4,3,6,5,8,7,2,9,10]
[3,5,7,2,1,8,6,4,9,10]=>[2,7,3,6,5,8,1,4,9,10]
[5,7,4,3,2,1,8,6,9,10]=>[2,3,4,7,5,8,1,6,9,10]
[2,1,5,3,8,6,9,10,7,4]=>[2,1,5,7,3,10,8,4,9,6]
[1,3,5,6,8,9,4,2,10,7]=>[1,4,3,9,5,6,10,8,2,7]
[3,5,2,8,1,6,9,4,10,7]=>[8,5,3,9,2,1,10,6,4,7]
[5,4,8,3,2,1,6,9,10,7]=>[2,3,8,5,4,1,10,6,9,7]
[2,4,6,8,1,9,7,5,3,10]=>[8,2,5,4,7,6,9,1,3,10]
[4,6,8,3,2,1,9,7,5,10]=>[2,3,8,4,7,6,9,1,5,10]
[6,8,5,4,3,2,1,9,7,10]=>[2,3,4,5,8,6,9,1,7,10]
[3,5,7,9,2,1,10,8,6,4]=>[2,9,3,6,5,8,7,10,1,4]
[5,7,9,4,3,2,1,10,8,6]=>[2,3,4,9,5,8,7,10,1,6]
[7,9,6,5,4,3,2,1,10,8]=>[2,3,4,5,6,9,7,10,1,8]
[2,3,7,5,6,1,10,9,4,8]=>[6,2,3,9,7,5,1,4,10,8]
[2,3,4,10,6,9,8,5,1,7]=>[5,2,3,4,8,9,6,10,1,7]
[2,3,6,5,9,10,8,4,1,7]=>[4,2,3,8,6,5,1,10,9,7]
[2,3,9,5,8,7,4,1,10,6]=>[4,2,3,7,8,9,10,6,5,1]
[2,5,4,9,6,10,8,3,1,7]=>[3,2,8,5,4,10,6,9,1,7]
[2,5,4,8,9,7,3,1,10,6]=>[3,2,7,5,4,9,10,8,6,1]
[2,3,4,10,6,7,1,9,8,5]=>[7,2,3,4,8,9,5,10,1,6]
[2,3,7,5,6,1,10,9,8,4]=>[6,2,3,8,7,5,1,9,10,4]
[2,3,4,10,6,8,9,1,7,5]=>[9,2,3,4,7,10,1,6,8,5]
[2,3,6,5,8,10,9,1,7,4]=>[9,2,3,7,6,5,1,8,10,4]
[2,3,8,5,7,9,1,10,6,4]=>[9,2,3,6,10,8,4,7,1,5]
[2,5,4,8,6,10,9,1,7,3]=>[9,2,7,5,4,8,1,6,10,3]
[2,5,4,7,8,9,1,10,6,3]=>[9,2,6,5,4,10,7,8,1,3]
[2,3,4,10,6,9,8,7,5,1]=>[5,2,3,4,7,8,9,10,6,1]
[2,3,6,5,9,10,8,7,4,1]=>[4,2,3,7,6,5,8,10,9,1]
[2,3,7,5,9,8,10,6,4,1]=>[4,2,3,6,10,7,1,9,8,5]
[2,3,9,5,8,7,6,4,1,10]=>[4,2,3,6,7,8,9,5,1,10]
[2,5,4,9,6,10,8,7,3,1]=>[3,2,7,5,4,8,10,9,6,1]
[2,5,4,9,7,8,10,6,3,1]=>[3,2,6,5,4,10,9,7,8,1]
[2,5,4,8,9,7,6,3,1,10]=>[3,2,6,5,4,7,9,8,1,10]
[2,3,4,10,7,9,8,1,6,5]=>[8,2,3,4,6,1,9,10,5,7]
[2,3,5,7,10,9,8,1,6,4]=>[8,2,3,6,5,1,7,9,10,4]
[2,3,8,6,9,7,1,10,5,4]=>[7,2,3,5,9,10,8,1,4,6]
[2,4,7,5,10,9,8,1,6,3]=>[8,2,6,4,7,1,5,9,10,3]
[2,4,6,8,9,7,1,10,5,3]=>[7,2,5,4,9,6,10,8,3,1]
[2,3,4,10,7,8,9,6,5,1]=>[5,2,3,4,6,9,10,7,8,1]
[2,3,5,7,10,8,9,6,4,1]=>[4,2,3,6,5,9,7,10,8,1]
[2,3,7,6,8,9,10,5,4,1]=>[4,2,3,5,10,7,6,8,9,1]
[2,3,9,6,7,8,5,4,1,10]=>[4,2,3,5,8,9,6,7,1,10]
[2,4,7,5,10,8,9,6,3,1]=>[3,2,6,4,9,7,1,10,8,5]
[2,4,6,7,8,9,10,5,3,1]=>[3,2,5,4,10,6,7,8,9,1]
[2,4,6,9,7,8,5,3,1,10]=>[3,2,5,4,8,6,9,7,1,10]
[2,6,5,8,9,7,10,4,3,1]=>[3,2,4,10,6,5,9,8,7,1]
[2,6,5,7,8,9,4,3,1,10]=>[3,2,4,9,6,5,7,8,1,10]
[3,7,4,5,10,9,8,1,6,2]=>[8,6,3,7,4,1,5,9,10,2]
[3,6,4,8,9,7,1,10,5,2]=>[7,5,3,9,6,2,10,8,4,1]
[3,7,4,5,10,8,9,6,2,1]=>[2,6,3,9,1,7,5,10,8,4]
[3,6,4,7,8,9,10,5,2,1]=>[2,5,3,10,6,1,7,8,9,4]
[3,6,4,9,7,8,5,2,1,10]=>[2,5,3,8,6,1,9,7,4,10]
[3,5,6,8,9,7,10,4,2,1]=>[2,4,3,10,5,6,9,8,7,1]
[3,5,6,7,8,9,4,2,1,10]=>[2,4,3,9,5,6,7,8,1,10]
[4,3,2,7,6,5,1,9,8,10]=>[5,3,4,2,6,7,1,9,8,10]
[4,3,2,1,7,6,9,8,5,10]=>[2,3,4,1,8,7,6,9,5,10]
[4,3,2,7,6,1,9,8,5,10]=>[6,3,4,2,7,8,5,9,1,10]
[4,3,2,7,6,9,8,5,1,10]=>[5,3,4,2,8,7,6,9,1,10]
[4,3,7,6,2,1,9,8,5,10]=>[2,6,4,3,7,8,5,9,1,10]
[4,3,7,6,2,9,8,5,1,10]=>[5,8,4,3,6,7,1,9,2,10]
[4,3,2,1,7,6,5,9,10,8]=>[2,3,4,1,6,7,5,10,9,8]
[4,3,2,7,6,5,1,9,10,8]=>[5,3,4,2,6,7,1,10,9,8]
[4,3,2,1,7,6,9,5,10,8]=>[2,3,4,1,9,7,6,10,5,8]
[4,3,2,7,6,1,9,5,10,8]=>[6,3,4,2,7,9,5,10,1,8]
[4,3,2,7,6,9,5,1,10,8]=>[5,3,4,2,9,7,6,10,1,8]
[4,3,7,6,2,1,9,5,10,8]=>[2,6,4,3,7,9,5,10,1,8]
[4,3,7,6,2,9,5,1,10,8]=>[5,9,4,3,6,7,1,10,2,8]
[4,3,2,1,7,6,9,10,8,5]=>[2,3,4,1,8,7,6,10,9,5]
[4,3,2,7,6,1,9,10,8,5]=>[6,3,4,2,7,8,5,10,9,1]
[4,3,2,7,6,9,1,10,8,5]=>[9,3,4,2,8,7,6,10,1,5]
[4,3,2,7,6,9,10,8,5,1]=>[5,3,4,2,8,7,6,10,9,1]
[4,3,7,6,2,1,9,10,8,5]=>[2,6,4,3,7,8,5,10,9,1]
[4,3,7,6,2,9,1,10,8,5]=>[9,6,4,3,7,8,5,10,1,2]
[4,3,7,6,2,9,10,8,5,1]=>[5,8,4,3,6,7,1,10,9,2]
[4,3,2,1,7,9,6,5,10,8]=>[2,3,4,1,6,9,7,10,5,8]
[4,3,2,7,1,9,6,5,10,8]=>[7,3,4,2,6,9,1,10,5,8]
[4,3,2,7,9,6,5,1,10,8]=>[5,3,4,2,6,9,7,10,1,8]
[4,3,7,2,1,9,6,5,10,8]=>[2,7,4,3,6,9,1,10,5,8]
[4,3,7,2,9,6,5,1,10,8]=>[5,6,4,3,9,7,2,10,1,8]
[4,3,2,1,7,9,6,10,8,5]=>[2,3,4,1,8,10,7,9,5,6]
[4,3,2,7,1,9,6,10,8,5]=>[7,3,4,2,8,10,1,9,5,6]
[4,3,2,7,9,6,1,10,8,5]=>[6,3,4,2,9,8,7,10,5,1]
[4,3,2,7,9,6,10,8,5,1]=>[5,3,4,2,8,10,7,9,1,6]
[4,3,7,2,1,9,6,10,8,5]=>[2,7,4,3,8,10,1,9,5,6]
[4,3,7,2,9,6,1,10,8,5]=>[6,9,4,3,7,8,5,10,2,1]
[4,3,7,2,9,6,10,8,5,1]=>[5,8,4,3,7,10,1,9,2,6]
[4,3,7,9,6,2,1,10,8,5]=>[2,6,4,3,9,8,7,10,5,1]
[4,3,7,9,6,2,10,8,5,1]=>[5,8,4,3,6,10,7,9,2,1]
[4,7,3,2,1,9,6,5,10,8]=>[2,3,7,4,6,9,1,10,5,8]
[4,7,3,2,9,6,5,1,10,8]=>[5,3,6,4,9,7,2,10,1,8]
[4,7,3,2,1,9,6,10,8,5]=>[2,3,7,4,8,10,1,9,5,6]
[4,7,3,2,9,6,1,10,8,5]=>[6,3,9,4,7,8,5,10,2,1]
[4,7,3,2,9,6,10,8,5,1]=>[5,3,8,4,7,10,1,9,2,6]
[4,7,3,9,6,2,1,10,8,5]=>[2,6,9,4,7,8,5,10,3,1]
[1,9,2,8,3,7,4,5,6,10]=>[1,9,8,7,4,5,3,2,6,10]
[1,2,10,3,9,4,8,5,6,7]=>[1,2,10,9,8,5,6,4,3,7]
[4,5,6,7,8,9,1,10,2,3]=>[9,10,2,4,5,6,7,8,1,3]
[3,2,5,4,7,6,8,10,9,1]=>[9,3,2,5,4,7,6,8,10,1]
[3,2,5,4,6,9,7,8,10,1]=>[10,3,2,5,4,6,9,7,8,1]
[3,2,5,4,6,8,7,10,9,1]=>[9,3,2,5,4,6,8,7,10,1]
[3,2,5,4,6,7,10,8,9,1]=>[9,3,2,5,4,6,7,10,8,1]
[3,2,4,7,5,6,9,8,10,1]=>[10,3,2,4,7,5,6,9,8,1]
[3,2,4,7,5,6,8,10,9,1]=>[9,3,2,4,7,5,6,8,10,1]
[3,2,4,6,5,9,7,8,10,1]=>[10,3,2,4,6,5,9,7,8,1]
[3,2,4,6,5,8,7,10,9,1]=>[9,3,2,4,6,5,8,7,10,1]
[3,2,4,6,5,7,10,8,9,1]=>[9,3,2,4,6,5,7,10,8,1]
[3,2,4,5,9,6,7,8,10,1]=>[10,3,2,4,5,9,6,7,8,1]
[3,2,4,5,8,6,7,10,9,1]=>[9,3,2,4,5,8,6,7,10,1]
[3,2,4,5,7,6,10,8,9,1]=>[9,3,2,4,5,7,6,10,8,1]
[3,2,4,5,6,10,7,8,9,1]=>[9,3,2,4,5,6,10,7,8,1]
[2,5,3,4,7,6,9,8,10,1]=>[10,2,5,3,4,7,6,9,8,1]
[2,5,3,4,7,6,8,10,9,1]=>[9,2,5,3,4,7,6,8,10,1]
[2,5,3,4,6,9,7,8,10,1]=>[10,2,5,3,4,6,9,7,8,1]
[2,5,3,4,6,8,7,10,9,1]=>[9,2,5,3,4,6,8,7,10,1]
[2,5,3,4,6,7,10,8,9,1]=>[9,2,5,3,4,6,7,10,8,1]
[2,4,3,7,5,6,9,8,10,1]=>[10,2,4,3,7,5,6,9,8,1]
[2,4,3,7,5,6,8,10,9,1]=>[9,2,4,3,7,5,6,8,10,1]
[2,4,3,6,5,9,7,8,10,1]=>[10,2,4,3,6,5,9,7,8,1]
[2,4,3,6,5,7,10,8,9,1]=>[9,2,4,3,6,5,7,10,8,1]
[2,4,3,5,9,6,7,8,10,1]=>[10,2,4,3,5,9,6,7,8,1]
[2,4,3,5,8,6,7,10,9,1]=>[9,2,4,3,5,8,6,7,10,1]
[2,4,3,5,7,6,10,8,9,1]=>[9,2,4,3,5,7,6,10,8,1]
[2,4,3,5,6,10,7,8,9,1]=>[9,2,4,3,5,6,10,7,8,1]
[2,3,7,4,5,6,9,8,10,1]=>[10,2,3,7,4,5,6,9,8,1]
[2,3,7,4,5,6,8,10,9,1]=>[9,2,3,7,4,5,6,8,10,1]
[2,3,6,4,5,9,7,8,10,1]=>[10,2,3,6,4,5,9,7,8,1]
[2,3,6,4,5,8,7,10,9,1]=>[9,2,3,6,4,5,8,7,10,1]
[2,3,6,4,5,7,10,8,9,1]=>[9,2,3,6,4,5,7,10,8,1]
[2,3,5,4,9,6,7,8,10,1]=>[10,2,3,5,4,9,6,7,8,1]
[2,3,5,4,8,6,7,10,9,1]=>[9,2,3,5,4,8,6,7,10,1]
[2,3,5,4,7,6,10,8,9,1]=>[9,2,3,5,4,7,6,10,8,1]
[2,3,5,4,6,10,7,8,9,1]=>[9,2,3,5,4,6,10,7,8,1]
[2,3,4,9,5,6,7,8,10,1]=>[10,2,3,4,9,5,6,7,8,1]
[2,3,4,8,5,6,7,10,9,1]=>[9,2,3,4,8,5,6,7,10,1]
[2,3,4,7,5,6,10,8,9,1]=>[9,2,3,4,7,5,6,10,8,1]
[2,3,4,6,5,10,7,8,9,1]=>[9,2,3,4,6,5,10,7,8,1]
[6,2,3,7,8,1,4,9,10,5]=>[8,6,2,1,10,3,7,4,9,5]
[6,2,3,7,8,9,1,4,10,5]=>[9,6,2,1,10,3,7,8,4,5]
[6,7,2,3,8,1,4,9,10,5]=>[8,7,2,1,10,6,3,4,9,5]
[6,7,2,3,8,9,1,4,10,5]=>[9,7,2,1,10,6,3,8,4,5]
[6,7,8,2,3,9,1,4,10,5]=>[9,8,2,1,10,6,7,3,4,5]
[2,6,3,7,8,1,4,9,10,5]=>[8,2,6,1,10,3,7,4,9,5]
[2,6,3,7,8,9,1,4,10,5]=>[9,2,6,1,10,3,7,8,4,5]
[2,6,7,3,8,1,4,9,10,5]=>[8,2,7,1,10,6,3,4,9,5]
[2,6,7,3,8,9,1,4,10,5]=>[9,2,7,1,10,6,3,8,4,5]
[2,6,7,8,3,9,1,4,10,5]=>[9,2,8,1,10,6,7,3,4,5]
[6,2,7,3,8,1,4,9,10,5]=>[8,6,7,1,10,2,3,4,9,5]
[6,2,7,3,8,9,1,4,10,5]=>[9,6,7,1,10,2,3,8,4,5]
[6,2,7,8,3,9,1,4,10,5]=>[9,6,8,1,10,2,7,3,4,5]
[6,7,2,8,3,9,1,4,10,5]=>[9,7,8,1,10,6,2,3,4,5]
[6,1,2,3,7,8,4,9,10,5]=>[6,1,2,8,10,3,7,4,9,5]
[6,1,2,3,7,8,9,4,10,5]=>[6,1,2,9,10,3,7,8,4,5]
[6,7,1,2,3,8,4,9,10,5]=>[7,1,2,8,10,6,3,4,9,5]
[6,7,1,2,3,8,9,4,10,5]=>[7,1,2,9,10,6,3,8,4,5]
[2,6,1,3,7,8,4,9,10,5]=>[6,2,1,8,10,3,7,4,9,5]
[2,6,1,3,7,8,9,4,10,5]=>[6,2,1,9,10,3,7,8,4,5]
[2,6,7,1,3,8,4,9,10,5]=>[7,2,1,8,10,6,3,4,9,5]
[2,6,7,1,3,8,9,4,10,5]=>[7,2,1,9,10,6,3,8,4,5]
[2,6,7,8,1,3,9,4,10,5]=>[8,2,1,9,10,6,7,3,4,5]
[6,2,7,1,3,8,4,9,10,5]=>[7,6,1,8,10,2,3,4,9,5]
[6,2,7,1,3,8,9,4,10,5]=>[7,6,1,9,10,2,3,8,4,5]
[6,2,7,8,1,3,9,4,10,5]=>[8,6,1,9,10,2,7,3,4,5]
[6,7,2,8,1,3,9,4,10,5]=>[8,7,1,9,10,6,2,3,4,5]
[1,2,6,3,7,8,4,9,10,5]=>[1,2,6,8,10,3,7,4,9,5]
[1,2,6,3,7,8,9,4,10,5]=>[1,2,6,9,10,3,7,8,4,5]
[1,2,6,7,3,8,4,9,10,5]=>[1,2,7,8,10,6,3,4,9,5]
[1,2,6,7,3,8,9,4,10,5]=>[1,2,7,9,10,6,3,8,4,5]
[1,2,6,7,8,3,9,4,10,5]=>[1,2,8,9,10,6,7,3,4,5]
[6,1,2,7,3,8,4,9,10,5]=>[6,1,7,8,10,2,3,4,9,5]
[6,1,2,7,3,8,9,4,10,5]=>[6,1,7,9,10,2,3,8,4,5]
[6,1,2,7,8,3,9,4,10,5]=>[6,1,8,9,10,2,7,3,4,5]
[1,6,2,7,3,8,4,9,10,5]=>[1,6,7,8,10,2,3,4,9,5]
[1,6,2,7,3,8,9,4,10,5]=>[1,6,7,9,10,2,3,8,4,5]
[1,6,2,7,8,3,9,4,10,5]=>[1,6,8,9,10,2,7,3,4,5]
[1,3,4,5,6,7,2,9,10,8]=>[1,7,3,4,5,6,2,10,9,8]
[1,3,4,5,2,7,8,9,10,6]=>[1,5,3,4,2,10,7,8,9,6]
[1,3,4,2,6,7,8,9,10,5]=>[1,4,3,2,10,6,7,8,9,5]
[8,2,3,4,5,6,1,7,10,9]=>[6,8,2,3,4,5,1,7,10,9]
[7,2,3,4,5,1,6,9,10,8]=>[5,7,2,3,4,1,6,10,9,8]
[6,2,3,4,10,1,7,8,9,5]=>[10,6,2,3,9,4,1,7,8,5]
[5,2,3,1,4,7,8,9,10,6]=>[3,5,2,1,4,10,7,8,9,6]
[4,2,1,3,6,7,8,9,10,5]=>[2,4,1,3,10,6,7,8,9,5]
[3,4,5,6,2,7,8,9,10,1]=>[10,6,3,4,5,2,7,8,9,1]
[2,4,5,6,3,7,8,9,10,1]=>[10,2,6,4,5,3,7,8,9,1]
[2,3,5,6,4,7,8,9,10,1]=>[10,2,3,6,5,4,7,8,9,1]
[6,2,1,4,3,5,8,7,10,9]=>[2,6,4,1,3,5,8,7,10,9]
[8,2,1,4,3,6,5,7,10,9]=>[2,8,4,1,6,3,5,7,10,9]
[9,2,1,4,3,6,5,8,7,10]=>[2,9,4,1,6,3,8,5,7,10]
[7,2,1,4,3,6,5,9,8,10]=>[2,7,4,1,6,3,5,9,8,10]
[5,2,1,4,3,7,6,9,8,10]=>[2,5,4,1,3,7,6,9,8,10]
[9,3,10,1,2,4,5,6,7,8]=>[10,1,9,2,4,5,6,7,3,8]
[10,3,1,9,2,4,5,6,7,8]=>[3,10,9,1,4,5,6,7,2,8]
[3,1,4,10,2,5,6,7,8,9]=>[3,10,1,4,2,5,6,7,8,9]
[9,8,10,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,10,9,8,2]
[10,7,1,2,3,4,8,9,5,6]=>[7,1,2,3,10,4,9,5,8,6]
[10,6,1,2,3,9,8,4,5,7]=>[6,1,2,10,3,8,5,9,4,7]
[7,6,1,2,3,4,8,9,10,5]=>[6,1,2,3,7,10,5,8,9,4]
[5,9,1,2,10,8,3,4,6,7]=>[9,1,8,3,5,4,6,10,2,7]
[5,6,1,2,3,10,8,9,4,7]=>[6,1,2,9,5,3,4,10,8,7]
[8,4,1,9,10,2,3,5,6,7]=>[4,8,1,10,3,5,6,2,9,7]
[5,4,1,2,10,9,8,3,6,7]=>[4,1,5,8,3,2,6,9,10,7]
[10,3,8,9,1,2,4,5,6,7]=>[9,1,10,2,4,5,6,3,8,7]
[4,3,1,9,10,8,2,5,6,7]=>[3,4,8,2,1,5,6,10,9,7]
[2,3,8,9,10,1,4,5,6,7]=>[10,2,3,1,4,5,6,8,9,7]
[6,2,3,4,5,7,8,9,10,1]=>[10,6,2,3,4,5,7,8,9,1]
[2,6,3,4,5,7,8,9,10,1]=>[10,2,6,3,4,5,7,8,9,1]
[2,3,6,4,5,7,8,9,10,1]=>[10,2,3,6,4,5,7,8,9,1]
[4,2,10,1,9,8,7,6,5,3]=>[10,4,5,2,6,7,8,9,1,3]
[5,2,10,9,1,8,7,6,4,3]=>[9,5,4,6,2,7,8,1,10,3]
[6,2,10,9,8,1,7,5,4,3]=>[8,6,4,5,7,2,1,9,10,3]
[6,10,3,9,8,1,7,5,4,2]=>[8,4,5,7,9,6,3,10,1,2]
[6,4,3,2,10,1,9,8,7,5]=>[10,3,4,6,7,2,8,9,1,5]
[7,10,3,9,8,6,1,5,4,2]=>[6,4,5,8,1,9,7,10,2,3]
[7,10,9,4,8,6,1,5,3,2]=>[6,3,5,8,4,9,7,1,10,2]
[7,4,3,2,10,9,1,8,6,5]=>[9,3,4,7,6,8,2,1,10,5]
[7,5,3,10,2,9,1,8,6,4]=>[9,10,5,7,6,8,4,1,2,3]
[8,5,3,10,2,9,7,1,6,4]=>[7,9,5,10,6,2,8,1,4,3]
[8,6,10,4,9,2,7,1,5,3]=>[7,9,5,10,1,8,2,6,4,3]
[8,6,5,4,3,2,10,1,9,7]=>[10,3,4,5,6,8,9,2,1,7]
[10,2,3,4,5,6,7,1,8,9]=>[7,10,2,3,4,5,6,1,8,9]
[10,2,3,4,5,6,1,7,8,9]=>[6,10,2,3,4,5,1,7,8,9]
[10,2,3,4,5,1,6,7,8,9]=>[5,10,2,3,4,1,6,7,8,9]
[10,2,3,4,1,5,6,7,8,9]=>[4,10,2,3,1,5,6,7,8,9]
[2,8,1,3,4,5,6,10,7,9]=>[8,2,1,3,4,5,10,6,7,9]
[10,7,1,2,3,4,5,9,6,8]=>[7,1,2,3,4,10,9,5,6,8]
[4,5,6,8,2,9,3,10,7,1]=>[7,10,8,4,5,6,9,3,1,2]
[10,4,5,6,9,3,8,2,7,1]=>[7,8,9,10,4,5,2,3,6,1]
[4,5,10,6,9,3,8,2,7,1]=>[7,8,9,4,5,10,2,3,6,1]
[4,5,8,2,6,10,9,3,7,1]=>[7,8,9,4,5,2,3,6,10,1]
[10,6,9,5,4,3,8,2,7,1]=>[7,8,4,5,9,10,2,3,6,1]
[8,2,6,10,9,5,4,3,7,1]=>[7,8,4,5,9,2,3,6,10,1]
[8,2,10,4,5,6,7,1,9,3]=>[7,8,9,10,4,5,6,2,1,3]
[4,5,6,8,2,10,7,1,9,3]=>[7,10,8,4,5,6,9,3,2,1]
[10,4,5,6,8,2,7,1,9,3]=>[7,8,9,10,4,5,2,6,1,3]
[4,5,10,6,8,2,7,1,9,3]=>[7,8,9,4,5,10,2,6,1,3]
[4,5,10,8,2,6,7,1,9,3]=>[7,8,10,4,5,3,6,9,1,2]
[10,6,8,2,7,1,9,5,4,3]=>[7,8,4,5,9,10,2,6,1,3]
[10,8,2,6,7,1,9,5,4,3]=>[7,8,4,5,10,3,6,9,1,2]
[8,2,7,1,9,3,10,4,5,6]=>[7,8,9,10,4,5,2,1,3,6]
[4,5,8,2,7,1,9,3,10,6]=>[7,8,9,4,5,10,2,1,3,6]
[4,5,9,3,10,7,1,8,2,6]=>[7,10,8,4,5,3,9,2,1,6]
[4,5,7,1,9,3,8,2,6,10]=>[7,8,9,4,5,2,1,3,6,10]
[8,2,7,1,9,5,4,3,10,6]=>[7,8,4,5,9,10,2,1,3,6]
[9,5,4,3,10,7,1,8,2,6]=>[7,10,4,5,8,3,9,2,1,6]
[7,1,9,5,4,3,8,2,6,10]=>[7,8,4,5,9,2,1,3,6,10]
[8,2,6,10,4,5,7,1,9,3]=>[7,8,9,10,4,2,5,6,1,3]
[4,8,2,6,10,5,7,1,9,3]=>[7,8,9,4,10,2,5,6,1,3]
[4,10,8,2,5,6,7,1,9,3]=>[7,8,10,4,3,5,6,9,1,2]
[8,2,6,10,5,7,1,9,4,3]=>[7,8,4,9,10,2,5,6,1,3]
[10,8,2,5,6,7,1,9,4,3]=>[7,8,4,10,3,5,6,9,1,2]
[9,3,10,4,5,7,1,8,2,6]=>[7,8,9,10,4,2,5,1,3,6]
[4,9,3,10,5,7,1,8,2,6]=>[7,8,9,4,10,2,5,1,3,6]
[4,9,3,10,7,1,8,2,5,6]=>[7,10,8,4,3,5,9,2,1,6]
[4,7,1,9,3,8,2,5,6,10]=>[7,8,9,4,2,5,1,3,6,10]
[9,4,3,10,5,7,1,8,2,6]=>[7,8,4,9,10,2,5,1,3,6]
[9,4,3,10,7,1,8,2,5,6]=>[7,10,4,8,3,5,9,2,1,6]
[7,1,9,4,3,8,2,5,6,10]=>[7,8,4,9,2,5,1,3,6,10]
[5,10,7,1,8,2,4,3,9,6]=>[7,10,4,1,5,8,9,2,6,3]
[5,7,1,8,2,4,3,9,6,10]=>[7,8,4,2,5,9,1,3,6,10]
[10,5,7,1,9,4,2,6,8,3]=>[7,4,9,8,10,3,5,6,1,2]
[9,4,2,5,6,7,1,10,8,3]=>[7,4,9,8,3,5,6,10,1,2]
[10,5,7,1,8,3,9,4,2,6]=>[7,4,9,8,10,3,5,1,2,6]
[10,7,1,8,3,9,4,2,5,6]=>[7,4,10,9,2,5,8,3,1,6]
[7,1,8,3,9,4,2,5,6,10]=>[7,4,9,8,3,5,1,2,6,10]
[4,2,5,10,7,1,8,3,9,6]=>[7,4,10,2,5,8,9,3,6,1]
[4,2,5,7,1,8,3,9,6,10]=>[7,4,8,2,5,9,1,3,6,10]
[4,5,6,7,8,9,1,2,10,3]=>[9,1,10,4,5,6,7,8,2,3]
[6,5,7,4,8,3,10,9,1,2]=>[9,1,8,7,6,5,4,3,10,2]
[6,5,7,4,9,8,2,3,10,1]=>[10,8,2,7,6,5,4,9,3,1]
[6,5,7,4,10,8,2,9,1,3]=>[9,8,1,7,6,5,4,10,2,3]
[6,5,7,4,10,9,8,1,2,3]=>[8,1,2,7,6,5,4,9,10,3]
[6,5,8,7,3,4,9,2,10,1]=>[10,9,7,3,6,5,8,4,2,1]
[6,5,8,7,3,4,10,9,1,2]=>[9,1,7,3,6,5,8,4,10,2]
[6,5,9,7,3,8,2,4,10,1]=>[10,8,7,2,6,5,9,3,4,1]
[6,5,10,7,3,8,2,9,1,4]=>[9,8,7,1,6,5,10,3,2,4]
[6,5,10,7,3,9,8,1,2,4]=>[8,1,7,3,6,5,9,10,2,4]
[6,5,9,8,7,2,3,4,10,1]=>[10,7,2,3,6,5,8,9,4,1]
[6,5,10,8,7,2,3,9,1,4]=>[9,7,2,1,6,5,8,10,3,4]
[6,5,10,9,7,2,8,1,3,4]=>[8,7,1,3,6,5,9,2,10,4]
[6,5,10,9,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,9,10,4]
[7,6,4,5,8,3,9,2,10,1]=>[10,9,8,6,4,7,5,3,2,1]
[7,6,4,5,8,3,10,9,1,2]=>[9,1,8,6,4,7,5,3,10,2]
[7,6,4,5,9,8,2,3,10,1]=>[10,8,2,6,4,7,5,9,3,1]
[7,6,4,5,10,8,2,9,1,3]=>[9,8,1,6,4,7,5,10,2,3]
[7,6,4,5,10,9,8,1,2,3]=>[8,1,2,6,4,7,5,9,10,3]
[8,6,4,7,3,5,9,2,10,1]=>[10,9,7,6,3,8,4,5,2,1]
[8,6,4,7,3,5,10,9,1,2]=>[9,1,7,6,3,8,4,5,10,2]
[9,6,4,7,3,8,2,5,10,1]=>[10,8,7,6,2,9,4,3,5,1]
[10,6,4,7,3,8,2,9,1,5]=>[9,8,7,6,1,10,4,3,2,5]
[10,6,4,7,3,9,8,1,2,5]=>[8,1,7,6,4,9,2,10,3,5]
[9,6,4,8,7,2,3,5,10,1]=>[10,7,2,6,4,8,9,3,5,1]
[10,6,4,8,7,2,3,9,1,5]=>[9,7,2,6,1,8,10,3,4,5]
[10,6,4,9,7,2,8,1,3,5]=>[8,7,1,6,3,9,10,4,2,5]
[10,6,4,9,8,7,1,2,3,5]=>[7,1,2,6,3,8,9,10,4,5]
[8,7,6,3,4,5,9,2,10,1]=>[10,9,6,3,4,7,8,5,2,1]
[8,7,6,3,4,5,10,9,1,2]=>[9,1,6,3,4,7,8,5,10,2]
[9,7,6,3,4,8,2,5,10,1]=>[10,8,6,3,2,7,9,4,5,1]
[10,7,6,3,4,8,2,9,1,5]=>[9,8,6,3,1,7,10,4,2,5]
[10,7,6,3,4,9,8,1,2,5]=>[8,1,6,2,3,7,9,10,4,5]
[9,8,6,3,7,2,4,5,10,1]=>[10,7,6,2,4,8,3,9,5,1]
[10,8,6,3,7,2,4,9,1,5]=>[9,7,6,2,1,8,3,10,4,5]
[10,9,6,3,7,2,8,1,4,5]=>[8,7,6,1,4,9,3,2,10,5]
[10,9,6,3,8,7,1,2,4,5]=>[7,1,6,3,4,8,9,2,10,5]
[9,8,7,6,2,3,4,5,10,1]=>[10,6,2,3,4,7,8,9,5,1]
[10,8,7,6,2,3,4,9,1,5]=>[9,6,2,3,1,7,8,10,4,5]
[10,9,7,6,2,3,8,1,4,5]=>[8,6,2,1,4,7,9,3,10,5]
[2,1,10,9,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,9,10,4]
[10,9,7,3,6,1,2,4,8,5]=>[6,1,7,2,9,5,8,4,10,3]
[9,7,3,6,1,2,4,10,8,5]=>[6,1,7,2,9,5,8,10,4,3]
[7,3,10,9,6,1,2,4,8,5]=>[6,1,9,3,7,8,5,4,10,2]
[7,3,9,6,1,2,4,10,8,5]=>[6,1,9,3,7,8,5,10,4,2]
[9,6,1,2,4,10,7,3,8,5]=>[6,1,9,3,7,10,8,2,4,5]
[8,4,10,9,7,3,6,1,2,5]=>[6,1,7,9,2,4,8,3,10,5]
[10,8,4,9,7,3,6,1,2,5]=>[6,1,7,9,2,4,8,10,3,5]
[7,3,8,4,10,9,6,1,2,5]=>[6,1,9,7,3,8,4,2,10,5]
[7,3,10,8,4,9,6,1,2,5]=>[6,1,9,7,3,8,4,10,2,5]
[10,7,3,8,4,9,6,1,2,5]=>[6,1,9,7,3,10,8,2,4,5]
[6,1,2,7,3,8,4,10,9,5]=>[6,1,7,8,9,2,3,4,10,5]
[6,1,2,7,3,10,8,4,9,5]=>[6,1,7,8,10,2,3,9,5,4]
[6,1,2,10,7,3,8,4,9,5]=>[6,1,7,10,8,2,9,4,5,3]
[10,6,1,2,7,3,8,4,9,5]=>[6,1,10,7,8,9,3,4,5,2]
[6,1,3,10,9,7,2,4,8,5]=>[6,7,1,2,9,3,8,5,10,4]
[6,1,3,9,7,2,4,10,8,5]=>[6,7,1,2,9,3,8,10,5,4]
[10,9,6,1,3,7,2,4,8,5]=>[6,9,2,1,7,8,3,5,10,4]
[9,6,1,3,7,2,4,10,8,5]=>[6,9,2,1,7,8,3,10,5,4]
[10,7,2,4,9,6,1,3,8,5]=>[6,9,2,1,7,10,8,3,4,5]
[6,1,3,8,4,10,9,7,2,5]=>[6,7,1,9,4,3,8,2,10,5]
[6,1,3,10,8,4,9,7,2,5]=>[6,7,1,9,4,3,8,10,2,5]
[8,4,10,9,6,1,3,7,2,5]=>[6,9,2,7,4,8,3,1,10,5]
[10,8,4,9,6,1,3,7,2,5]=>[6,9,2,7,4,8,3,10,1,5]
[9,6,1,3,8,4,10,7,2,5]=>[6,9,2,7,1,10,8,3,4,5]
[7,2,6,1,3,8,4,10,9,5]=>[6,7,1,8,9,2,3,4,10,5]
[7,2,6,1,3,10,8,4,9,5]=>[6,7,1,8,10,2,3,9,5,4]
[10,7,2,6,1,3,8,4,9,5]=>[6,7,1,10,8,4,9,3,5,2]
[7,2,10,6,1,3,8,4,9,5]=>[6,10,2,7,8,9,4,3,5,1]
[8,3,6,1,4,10,9,7,2,5]=>[6,7,9,1,3,2,8,4,10,5]
[10,8,3,6,1,4,9,7,2,5]=>[6,7,9,1,3,2,8,10,4,5]
[10,9,6,1,4,8,3,7,2,5]=>[6,9,7,2,3,8,1,4,10,5]
[9,6,1,4,10,8,3,7,2,5]=>[6,9,7,2,3,8,1,10,4,5]
[8,3,9,6,1,4,10,7,2,5]=>[6,9,7,2,1,10,8,3,4,5]
[8,3,7,2,6,1,4,10,9,5]=>[6,7,8,1,9,2,3,4,10,5]
[10,8,3,7,2,6,1,4,9,5]=>[6,7,8,1,10,2,5,9,4,3]
[8,3,10,7,2,6,1,4,9,5]=>[6,7,10,1,8,3,9,5,4,2]
[7,2,8,3,10,6,1,4,9,5]=>[6,10,7,2,8,9,3,5,4,1]
[9,4,10,8,3,7,2,6,1,5]=>[6,7,8,10,1,2,4,9,3,5]
[8,3,9,4,10,7,2,6,1,5]=>[6,7,10,8,1,3,9,4,2,5]
[7,2,8,3,9,4,10,6,1,5]=>[6,10,7,8,2,9,3,4,1,5]
[2,1,9,10,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,10,9,3]
[7,6,8,5,9,4,10,3,2,1]=>[2,3,10,9,8,7,6,5,4,1]
[7,6,8,5,9,4,3,2,10,1]=>[10,3,4,9,8,7,6,5,2,1]
[7,6,8,5,10,4,2,9,3,1]=>[3,9,4,10,8,7,6,5,1,2]
[8,7,9,6,10,5,4,3,2,1]=>[2,3,4,5,10,9,8,7,6,1]
[7,6,8,5,4,3,9,2,10,1]=>[10,9,4,5,8,7,6,3,2,1]
[8,7,9,6,5,4,10,3,2,1]=>[2,3,10,5,6,9,8,7,4,1]
[7,6,9,5,3,8,4,2,10,1]=>[10,4,8,5,9,7,6,2,3,1]
[7,6,10,5,3,8,2,9,4,1]=>[4,9,8,5,10,7,6,1,3,2]
[8,7,10,6,4,9,5,3,2,1]=>[2,3,5,9,6,10,8,7,1,4]
[8,7,9,6,5,4,3,2,10,1]=>[10,3,4,5,6,9,8,7,2,1]
[8,7,10,6,5,4,2,9,3,1]=>[3,9,4,5,6,10,8,7,1,2]
[8,7,10,9,5,2,6,4,3,1]=>[3,4,6,5,9,2,8,7,10,1]
[7,6,5,4,8,3,9,2,10,1]=>[10,9,8,5,6,7,4,3,2,1]
[8,7,6,5,9,4,10,3,2,1]=>[2,3,10,9,6,7,8,5,4,1]
[8,7,6,5,9,4,3,2,10,1]=>[10,3,4,9,6,7,8,5,2,1]
[8,7,6,5,10,4,2,9,3,1]=>[3,9,4,10,6,7,8,5,1,2]
[8,6,4,7,5,3,9,2,10,1]=>[10,9,5,7,6,8,3,4,2,1]
[9,7,5,8,6,4,10,3,2,1]=>[2,3,10,6,8,7,9,4,5,1]
[9,6,4,7,3,8,5,2,10,1]=>[10,5,8,7,6,9,2,4,3,1]
[10,6,4,7,3,8,2,9,5,1]=>[5,9,8,7,6,10,1,4,3,2]
[10,7,5,8,4,9,6,3,2,1]=>[2,3,6,9,8,7,10,1,5,4]
[9,7,5,8,6,4,3,2,10,1]=>[10,3,4,6,8,7,9,2,5,1]
[10,7,5,8,6,4,2,9,3,1]=>[3,9,4,6,8,7,10,1,5,2]
[10,7,5,9,6,2,8,4,3,1]=>[3,4,8,6,9,7,10,5,2,1]
[10,8,6,9,7,5,4,3,2,1]=>[2,3,4,5,7,9,8,10,1,6]
[8,7,6,5,4,3,9,2,10,1]=>[10,9,4,5,6,7,8,3,2,1]
[9,7,6,5,3,8,4,2,10,1]=>[10,4,8,5,6,7,9,2,3,1]
[10,7,6,5,3,8,2,9,4,1]=>[4,9,8,5,6,7,10,1,3,2]
[10,8,7,6,4,9,5,3,2,1]=>[2,3,5,9,6,7,8,10,1,4]
[9,8,6,3,7,5,4,2,10,1]=>[10,4,5,7,6,8,3,9,2,1]
[10,8,6,3,7,5,2,9,4,1]=>[4,9,5,7,6,8,3,10,1,2]
[10,9,6,3,7,2,8,5,4,1]=>[4,5,8,7,6,9,2,1,10,3]
[10,9,7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,9,4,10,1]
[10,8,7,6,5,4,2,9,3,1]=>[3,9,4,5,6,7,8,10,1,2]
[10,9,7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,9,2,10,1]
[10,9,8,6,2,7,5,4,3,1]=>[3,4,5,7,6,8,1,9,10,2]
[3,4,10,1,2,5,6,7,8,9]=>[10,1,3,4,2,5,6,7,8,9]
[10,3,4,1,2,5,6,7,8,9]=>[4,1,10,3,2,5,6,7,8,9]
[10,3,2,1,4,5,6,7,8,9]=>[2,3,10,1,4,5,6,7,8,9]
[4,5,6,10,1,2,3,7,8,9]=>[10,1,2,4,5,6,3,7,8,9]
[10,4,5,6,1,2,3,7,8,9]=>[6,1,2,10,4,5,3,7,8,9]
[4,10,2,5,1,3,6,7,8,9]=>[5,10,1,4,2,3,6,7,8,9]
[10,4,2,5,1,3,6,7,8,9]=>[5,4,1,10,2,3,6,7,8,9]
[10,4,3,2,1,5,6,7,8,9]=>[2,3,4,10,1,5,6,7,8,9]
[10,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,10,5,6,7,4,9]
[5,10,2,6,7,1,3,4,8,9]=>[7,10,1,3,5,2,6,4,8,9]
[10,5,2,6,7,1,3,4,8,9]=>[7,5,1,3,10,2,6,4,8,9]
[10,5,6,3,4,1,2,7,8,9]=>[4,1,6,3,10,5,2,7,8,9]
[10,5,3,2,6,1,4,7,8,9]=>[6,3,5,1,10,2,4,7,8,9]
[10,5,4,3,2,1,6,7,8,9]=>[2,3,4,5,10,1,6,7,8,9]
[6,7,10,3,4,8,1,2,5,9]=>[8,1,10,3,2,6,7,4,5,9]
[10,6,3,2,7,8,1,4,5,9]=>[8,3,6,1,4,10,2,7,5,9]
[6,10,4,7,2,5,1,3,8,9]=>[5,7,1,10,2,6,4,3,8,9]
[10,6,4,7,2,5,1,3,8,9]=>[5,7,1,6,2,10,4,3,8,9]
[10,6,4,3,2,7,1,5,8,9]=>[7,3,4,6,1,10,2,5,8,9]
[10,6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,10,1,7,8,9]
[7,10,4,8,2,5,9,1,3,6]=>[9,8,1,10,2,3,7,4,5,6]
[10,7,4,8,2,5,9,1,3,6]=>[9,8,1,7,2,3,10,4,5,6]
[10,7,4,3,2,8,9,1,5,6]=>[9,3,4,7,1,5,10,2,8,6]
[10,7,5,3,8,2,6,1,4,9]=>[6,8,5,1,7,2,10,3,4,9]
[10,7,5,4,3,2,8,1,6,9]=>[8,3,4,5,7,1,10,2,6,9]
[2,3,5,6,8,1,9,4,7,10]=>[8,2,3,9,5,6,4,1,7,10]
[2,3,5,6,1,8,9,4,10,7]=>[6,2,3,9,5,1,10,8,4,7]
[2,3,5,6,1,9,4,7,8,10]=>[6,2,3,9,5,1,4,7,8,10]
[2,3,5,1,6,7,9,4,10,8]=>[5,2,3,9,1,6,7,10,4,8]
[2,3,5,1,6,7,4,8,10,9]=>[5,2,3,7,1,6,4,8,10,9]
[2,3,6,8,1,9,4,5,10,7]=>[8,2,3,9,4,6,10,1,5,7]
[2,3,6,1,8,9,4,10,5,7]=>[6,2,3,9,10,1,5,8,4,7]
[2,3,6,1,9,4,5,7,8,10]=>[6,2,3,9,4,1,5,7,8,10]
[2,3,7,1,9,4,5,6,10,8]=>[7,2,3,9,4,5,1,10,6,8]
[2,3,1,4,6,7,9,5,10,8]=>[3,2,1,4,9,6,7,10,5,8]
[2,3,1,4,6,7,5,8,10,9]=>[3,2,1,4,7,6,5,8,10,9]
[2,3,1,4,7,9,5,10,6,8]=>[3,2,1,4,9,10,7,6,5,8]
[2,3,1,4,7,5,6,8,10,9]=>[3,2,1,4,7,5,6,8,10,9]
[2,3,1,4,8,5,6,10,7,9]=>[3,2,1,4,8,5,10,6,7,9]
[3,5,6,7,1,9,2,4,10,8]=>[7,9,3,2,5,6,1,10,4,8]
[3,5,6,1,7,9,2,10,4,8]=>[6,9,3,10,5,1,7,4,2,8]
[3,5,6,1,7,2,4,8,10,9]=>[6,7,3,2,5,1,4,8,10,9]
[3,5,1,6,7,8,2,10,4,9]=>[5,8,3,10,1,6,7,2,4,9]
[3,5,1,6,7,2,8,9,4,10]=>[5,7,3,9,1,6,2,8,4,10]
[3,6,8,1,9,2,4,10,5,7]=>[8,9,3,2,10,6,5,1,4,7]
[4,6,1,7,9,2,10,3,5,8]=>[6,9,10,4,3,1,7,5,2,8]
[3,6,1,9,2,4,5,7,8,10]=>[6,9,3,2,4,1,5,7,8,10]
[3,7,1,9,2,4,5,6,10,8]=>[7,9,3,2,4,5,1,10,6,8]
[4,6,1,7,2,3,5,8,10,9]=>[6,7,2,4,3,1,5,8,10,9]
[4,7,1,9,2,3,5,10,6,8]=>[7,9,2,4,3,10,1,6,5,8]
[5,7,1,8,2,3,4,10,6,9]=>[7,8,2,3,5,10,1,4,6,9]
[3,1,2,4,6,7,9,5,10,8]=>[3,1,2,4,9,6,7,10,5,8]
[3,1,2,4,6,7,5,8,10,9]=>[3,1,2,4,7,6,5,8,10,9]
[3,1,2,4,7,9,5,10,6,8]=>[3,1,2,4,9,10,7,6,5,8]
[3,1,2,4,7,5,6,8,10,9]=>[3,1,2,4,7,5,6,8,10,9]
[3,1,2,4,8,5,6,10,7,9]=>[3,1,2,4,8,5,10,6,7,9]
[4,1,2,6,7,8,3,10,5,9]=>[4,1,8,2,10,6,7,3,5,9]
[4,1,2,6,7,3,8,9,5,10]=>[4,1,7,2,9,6,3,8,5,10]
[4,1,2,7,9,3,10,5,6,8]=>[4,1,9,2,10,5,7,6,3,8]
[5,1,2,7,8,3,10,4,6,9]=>[5,1,8,10,2,4,7,3,6,9]
[4,1,2,7,3,5,6,8,10,9]=>[4,1,7,2,3,5,6,8,10,9]
[4,1,2,8,3,5,6,10,7,9]=>[4,1,8,2,3,5,10,6,7,9]
[5,1,2,7,3,4,8,9,6,10]=>[5,1,7,3,2,9,4,8,6,10]
[5,1,2,8,3,4,10,6,7,9]=>[5,1,8,3,2,10,6,4,7,9]
[6,1,2,8,3,4,9,5,7,10]=>[6,1,8,3,9,2,5,4,7,10]
[2,5,4,3,1,6,7,8,9,10]=>[3,2,4,5,1,6,7,8,9,10]
[2,7,6,5,4,3,1,8,9,10]=>[3,2,4,5,6,7,1,8,9,10]
[4,3,5,6,2,1,7,8,9,10]=>[2,6,4,3,5,1,7,8,9,10]
[3,6,1,5,4,2,7,8,9,10]=>[6,4,3,5,1,2,7,8,9,10]
[3,4,5,1,2,6,7,8,9,10]=>[5,1,3,4,2,6,7,8,9,10]
[2,9,8,7,6,5,4,3,1,10]=>[3,2,4,5,6,7,8,9,1,10]
[4,3,7,8,6,5,2,1,9,10]=>[2,5,4,3,6,8,7,1,9,10]
[3,8,1,7,6,5,4,2,9,10]=>[8,4,3,5,6,7,1,2,9,10]
[5,6,4,2,7,3,1,8,9,10]=>[3,7,4,6,5,1,2,8,9,10]
[3,4,7,1,6,5,2,8,9,10]=>[7,5,3,4,6,1,2,8,9,10]
[4,3,9,10,8,7,6,5,2,1]=>[2,5,4,3,6,7,8,10,9,1]
[6,5,4,7,8,9,3,2,1,10]=>[2,3,9,5,6,4,7,8,1,10]
[3,4,9,1,8,7,6,5,2,10]=>[9,5,3,4,6,7,8,1,2,10]
[6,5,8,7,2,1,4,3,9,10]=>[2,7,4,1,6,5,8,3,9,10]
[3,6,7,5,2,8,4,1,9,10]=>[4,8,3,5,7,6,1,2,9,10]
[4,5,8,1,2,7,6,3,9,10]=>[8,1,6,4,5,7,2,3,9,10]
[4,5,6,7,1,2,3,8,9,10]=>[7,1,2,4,5,6,3,8,9,10]
[7,8,6,5,3,9,10,4,2,1]=>[2,4,10,5,6,8,7,1,9,3]
[3,6,9,5,2,10,8,7,4,1]=>[4,7,3,5,8,6,10,9,1,2]
[6,7,4,9,8,3,1,5,2,10]=>[3,8,5,7,2,6,4,9,1,10]
[4,7,8,1,6,3,9,5,2,10]=>[8,5,9,4,6,1,7,2,3,10]
[4,5,6,9,1,2,8,7,3,10]=>[9,1,7,4,5,6,8,2,3,10]
[7,8,10,5,2,9,4,1,6,3]=>[4,9,5,10,6,2,7,8,1,3]
[4,5,8,9,1,7,3,10,6,2]=>[9,6,10,4,5,7,1,8,2,3]
[1,2,3,4,8,5,9,6,10,7]=>[1,2,3,4,8,9,10,5,6,7]
[1,2,3,4,5,8,6,10,9,7]=>[1,2,3,4,5,8,9,6,10,7]
[1,2,3,7,4,8,5,10,9,6]=>[1,2,3,7,8,9,4,5,10,6]
[1,2,3,4,9,7,5,10,8,6]=>[1,2,3,4,7,9,8,10,6,5]
[1,2,3,4,7,5,10,9,8,6]=>[1,2,3,4,7,8,5,9,10,6]
[1,6,2,7,3,8,4,10,9,5]=>[1,6,7,8,9,2,3,4,10,5]
[1,2,6,3,9,7,4,10,8,5]=>[1,2,6,7,9,3,8,10,5,4]
[1,2,6,3,7,4,10,9,8,5]=>[1,2,6,7,8,3,4,9,10,5]
[1,2,3,8,6,4,10,9,7,5]=>[1,2,3,6,8,7,9,5,10,4]
[1,2,3,6,4,10,9,8,7,5]=>[1,2,3,6,7,4,8,9,10,5]
[5,1,6,2,9,7,3,10,8,4]=>[5,6,7,9,1,2,8,10,4,3]
[5,1,6,2,7,3,10,9,8,4]=>[5,6,7,8,1,2,3,9,10,4]
[1,5,2,6,3,10,9,8,7,4]=>[1,5,6,7,2,3,8,9,10,4]
[1,2,7,5,3,10,9,8,6,4]=>[1,2,5,7,6,8,4,9,10,3]
[1,2,5,3,10,9,8,7,6,4]=>[1,2,5,6,3,7,8,9,10,4]
[7,4,1,8,5,2,10,9,6,3]=>[4,7,5,8,6,9,2,1,10,3]
[4,1,9,7,5,2,10,8,6,3]=>[4,5,7,1,6,9,8,10,2,3]
[4,1,7,5,2,10,9,8,6,3]=>[4,5,7,1,6,8,3,9,10,2]
[4,1,5,2,10,9,8,7,6,3]=>[4,5,6,1,2,7,8,9,10,3]
[1,8,6,4,2,10,9,7,5,3]=>[1,4,6,5,8,7,9,2,10,3]
[1,6,4,2,10,9,8,7,5,3]=>[1,4,6,5,7,3,8,9,10,2]
[1,4,2,10,9,8,7,6,5,3]=>[1,4,5,2,6,7,8,9,10,3]
[7,5,3,1,10,9,8,6,4,2]=>[3,5,4,7,6,8,1,9,10,2]
[5,3,1,10,9,8,7,6,4,2]=>[3,5,4,6,2,7,8,9,10,1]
[1,3,2,6,4,8,5,10,7,9]=>[1,3,2,6,8,4,10,5,7,9]
[1,3,2,5,4,8,6,10,7,9]=>[1,3,2,5,4,8,10,6,7,9]
[1,3,2,5,4,7,6,10,8,9]=>[1,3,2,5,4,7,6,10,8,9]
[9,1,8,2,3,4,5,6,7,10]=>[9,8,2,3,4,5,6,1,7,10]
[1,10,2,9,3,4,5,6,7,8]=>[1,10,9,3,4,5,6,7,2,8]
[3,6,1,2,7,8,4,5,9,10]=>[6,1,3,8,4,2,7,5,9,10]
[3,6,1,2,7,10,4,5,8,9]=>[6,1,3,10,4,2,7,5,8,9]
[3,6,1,2,4,7,10,5,8,9]=>[6,1,3,2,10,4,7,5,8,9]
[1,3,6,2,4,7,10,5,8,9]=>[1,6,3,2,10,4,7,5,8,9]
[3,1,2,6,4,7,10,5,8,9]=>[3,1,2,6,10,4,7,5,8,9]
[3,1,6,7,2,4,5,10,8,9]=>[3,7,1,2,4,6,5,10,8,9]
[3,1,6,7,2,4,9,10,5,8]=>[3,7,1,2,10,6,4,5,9,8]
[3,1,5,6,2,4,9,10,7,8]=>[3,6,1,2,5,4,10,7,9,8]
[1,8,6,4,2,9,7,5,3,10]=>[1,4,6,5,8,7,9,2,3,10]
[1,4,2,5,6,7,8,10,9,3]=>[1,4,9,2,5,6,7,8,10,3]
[2,1,4,5,6,7,10,8,3,9]=>[2,1,8,4,5,6,7,10,3,9]
[3,1,5,2,6,10,7,8,9,4]=>[3,5,1,9,2,6,10,7,8,4]
[4,5,1,6,7,9,8,10,2,3]=>[5,10,2,4,1,6,7,9,8,3]
[7,2,8,3,9,4,10,5,1,6]=>[5,10,7,8,9,2,3,4,1,6]
[7,2,8,3,9,4,10,1,5,6]=>[10,7,8,9,1,5,2,3,4,6]
[7,2,8,3,9,10,4,5,1,6]=>[5,7,8,10,4,1,2,3,9,6]
[7,2,8,3,9,10,4,1,5,6]=>[4,10,7,8,2,5,3,1,9,6]
[7,2,8,3,9,10,1,4,5,6]=>[10,7,8,1,4,5,2,3,9,6]
[7,2,8,9,3,4,10,5,1,6]=>[5,10,7,1,9,2,3,8,4,6]
[7,2,8,9,3,4,10,1,5,6]=>[10,7,9,3,1,5,2,8,4,6]
[7,2,8,9,3,10,4,5,1,6]=>[5,7,9,10,4,1,2,8,3,6]
[7,2,8,9,3,10,4,1,5,6]=>[4,10,7,9,2,5,3,8,1,6]
[7,2,8,9,3,10,1,4,5,6]=>[10,7,9,1,4,5,2,8,3,6]
[7,2,8,9,10,3,4,5,1,6]=>[5,7,10,3,4,1,2,8,9,6]
[7,2,8,9,10,3,4,1,5,6]=>[4,7,10,3,1,5,2,8,9,6]
[7,2,8,9,10,3,1,4,5,6]=>[3,10,7,2,4,5,1,8,9,6]
[7,8,2,3,9,4,10,5,1,6]=>[5,10,1,8,9,2,7,4,3,6]
[7,8,2,3,9,4,10,1,5,6]=>[10,8,2,9,1,5,7,3,4,6]
[7,8,2,3,9,10,4,5,1,6]=>[5,8,2,10,4,1,7,3,9,6]
[7,8,2,3,9,10,4,1,5,6]=>[4,10,1,8,2,5,7,3,9,6]
[7,8,2,3,9,10,1,4,5,6]=>[10,8,2,1,4,5,7,3,9,6]
[7,8,2,9,3,4,10,5,1,6]=>[5,10,8,1,9,2,7,3,4,6]
[7,8,2,9,3,4,10,1,5,6]=>[10,8,9,3,1,5,7,2,4,6]
[7,8,2,9,3,10,4,5,1,6]=>[5,8,9,10,4,1,7,2,3,6]
[7,8,2,9,3,10,4,1,5,6]=>[4,10,8,9,2,5,7,3,1,6]
[7,8,2,9,3,10,1,4,5,6]=>[10,8,9,1,4,5,7,2,3,6]
[7,8,2,9,10,3,4,5,1,6]=>[5,8,10,3,4,1,7,2,9,6]
[7,8,2,9,10,3,4,1,5,6]=>[4,8,10,3,1,5,7,2,9,6]
[7,8,2,9,10,3,1,4,5,6]=>[3,10,8,2,4,5,7,1,9,6]
[7,8,2,9,10,1,3,4,5,6]=>[10,8,1,3,4,5,7,2,9,6]
[7,8,9,2,3,4,10,5,1,6]=>[5,10,1,3,9,2,7,8,4,6]
[7,8,9,2,3,4,10,1,5,6]=>[10,9,2,3,1,5,7,8,4,6]
[7,8,9,2,3,10,4,5,1,6]=>[5,9,2,10,4,1,7,8,3,6]
[7,8,9,2,3,10,4,1,5,6]=>[4,10,1,9,2,5,7,8,3,6]
[7,8,9,2,3,10,1,4,5,6]=>[10,9,2,1,4,5,7,8,3,6]
[7,8,9,2,10,3,4,5,1,6]=>[5,9,10,3,4,1,7,8,2,6]
[7,8,9,2,10,3,4,1,5,6]=>[4,9,10,3,1,5,7,8,2,6]
[7,8,9,2,10,3,1,4,5,6]=>[3,10,9,2,4,5,7,8,1,6]
[7,8,9,2,10,1,3,4,5,6]=>[10,9,1,3,4,5,7,8,2,6]
[7,8,9,10,2,3,4,1,5,6]=>[4,10,2,3,1,5,7,8,9,6]
[7,8,9,10,2,3,1,4,5,6]=>[3,10,2,1,4,5,7,8,9,6]
[7,8,9,10,2,1,3,4,5,6]=>[2,10,1,3,4,5,7,8,9,6]
[5,9,8,7,6,4,3,2,1,10]=>[2,3,4,6,5,7,8,9,1,10]
[10,9,8,6,1,7,5,4,3,2]=>[6,3,4,5,8,7,2,9,10,1]
[1,2,9,3,4,5,6,7,10,8]=>[1,2,9,3,4,5,6,10,7,8]
[1,2,3,4,5,9,6,7,10,8]=>[1,2,3,4,5,9,6,10,7,8]
[1,10,6,2,3,4,9,5,7,8]=>[1,6,2,3,10,9,4,7,5,8]
[1,5,2,9,3,10,4,6,7,8]=>[1,5,9,10,2,4,6,7,3,8]
[1,2,4,3,10,9,5,6,7,8]=>[1,2,4,3,9,5,6,7,10,8]
[1,3,2,4,5,10,9,6,7,8]=>[1,3,2,4,5,9,6,7,10,8]
[2,1,3,4,5,9,6,10,7,8]=>[2,1,3,4,5,9,10,7,6,8]
[9,10,1,2,6,3,4,5,7,8]=>[10,1,6,3,4,2,5,7,9,8]
[5,9,1,2,3,10,4,6,7,8]=>[9,1,2,10,5,4,6,7,3,8]
[10,4,1,2,3,5,9,6,7,8]=>[4,1,2,10,3,9,6,7,5,8]
[9,8,7,6,5,4,1,10,3,2]=>[4,3,5,6,7,8,9,10,2,1]
[9,8,7,6,5,2,10,1,3,4]=>[10,5,1,3,6,7,8,9,2,4]
[9,8,7,6,3,10,2,1,4,5]=>[2,10,6,1,4,7,8,9,3,5]
[9,8,7,4,10,3,2,1,6,5]=>[2,3,10,7,6,1,8,9,4,5]
[9,8,5,10,4,3,2,1,6,7]=>[2,3,4,10,8,1,6,9,5,7]
[9,6,10,5,4,3,2,1,7,8]=>[2,3,4,5,10,9,1,7,6,8]
[7,10,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,10,7,9,1,8]
[10,7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,10,7,6,9]
[6,7,10,1,2,3,4,5,8,9]=>[10,1,2,3,4,6,7,5,8,9]
[10,6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,10,8,9,1,7]
[10,5,4,3,2,1,9,8,7,6]=>[2,3,4,5,10,7,8,9,1,6]
[10,4,3,2,1,9,8,7,6,5]=>[2,3,4,10,6,7,8,9,1,5]
[10,3,2,1,9,8,7,6,5,4]=>[2,3,10,5,6,7,8,9,1,4]
[1,2,3,4,5,8,6,7,9,10]=>[1,2,3,4,5,8,6,7,9,10]
[1,2,3,4,5,10,6,9,7,8]=>[1,2,3,4,5,10,9,7,6,8]
[1,2,3,6,4,5,7,8,9,10]=>[1,2,3,6,4,5,7,8,9,10]
[1,2,3,6,4,5,7,10,8,9]=>[1,2,3,6,4,5,7,10,8,9]
[1,2,3,8,4,5,6,7,9,10]=>[1,2,3,8,4,5,6,7,9,10]
[1,2,3,10,4,5,6,9,7,8]=>[1,2,3,10,4,5,9,7,6,8]
[1,2,3,8,4,7,5,6,9,10]=>[1,2,3,8,7,5,4,6,9,10]
[1,2,3,10,4,7,5,6,8,9]=>[1,2,3,10,7,5,4,6,8,9]
[1,2,3,10,4,9,5,6,7,8]=>[1,2,3,10,9,5,6,7,4,8]
[1,2,3,10,4,9,5,8,6,7]=>[1,2,3,10,9,8,6,5,4,7]
[1,4,2,3,5,6,7,10,8,9]=>[1,4,2,3,5,6,7,10,8,9]
[1,4,2,3,5,8,6,7,9,10]=>[1,4,2,3,5,8,6,7,9,10]
[1,4,2,3,5,10,6,7,8,9]=>[1,4,2,3,5,10,6,7,8,9]
[1,4,2,3,5,10,6,9,7,8]=>[1,4,2,3,5,10,9,7,6,8]
[1,6,2,3,4,5,7,8,9,10]=>[1,6,2,3,4,5,7,8,9,10]
[1,6,2,3,4,5,7,10,8,9]=>[1,6,2,3,4,5,7,10,8,9]
[1,8,2,3,4,5,6,7,9,10]=>[1,8,2,3,4,5,6,7,9,10]
[1,10,2,3,4,5,6,9,7,8]=>[1,10,2,3,4,5,9,7,6,8]
[1,8,2,3,4,7,5,6,9,10]=>[1,8,2,3,7,5,4,6,9,10]
[1,10,2,3,4,7,5,6,8,9]=>[1,10,2,3,7,5,4,6,8,9]
[1,10,2,3,4,9,5,6,7,8]=>[1,10,2,3,9,5,6,7,4,8]
[1,10,2,3,4,9,5,8,6,7]=>[1,10,2,3,9,8,6,5,4,7]
[1,6,2,5,3,4,7,10,8,9]=>[1,6,5,3,2,4,7,10,8,9]
[1,8,2,5,3,4,6,7,9,10]=>[1,8,5,3,2,4,6,7,9,10]
[1,10,2,5,3,4,6,7,8,9]=>[1,10,5,3,2,4,6,7,8,9]
[1,10,2,5,3,4,6,9,7,8]=>[1,10,5,3,2,4,9,7,6,8]
[1,8,2,7,3,4,5,6,9,10]=>[1,8,7,3,4,5,2,6,9,10]
[1,10,2,7,3,4,5,6,8,9]=>[1,10,7,3,4,5,2,6,8,9]
[1,10,2,9,3,4,5,8,6,7]=>[1,10,9,3,4,8,6,5,2,7]
[1,10,2,7,3,6,4,5,8,9]=>[1,10,7,6,4,3,2,5,8,9]
[1,10,2,9,3,6,4,5,7,8]=>[1,10,9,6,4,3,5,7,2,8]
[1,10,2,9,3,8,4,5,6,7]=>[1,10,9,8,4,5,6,3,2,7]
[7,8,1,2,3,4,5,6,10,9]=>[8,1,2,3,4,5,7,6,10,9]
[10,9,8,6,7,5,4,3,2,1]=>[2,3,4,5,7,8,6,9,10,1]
[2,1,3,4,10,5,6,7,8,9]=>[2,1,3,4,10,5,6,7,8,9]
[10,9,7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,9,6,10,1]
[10,8,7,6,9,5,4,3,2,1]=>[2,3,4,5,9,7,8,10,6,1]
[9,8,7,6,4,3,2,5,1,10]=>[5,3,4,6,2,7,8,9,1,10]
[9,8,7,6,4,3,5,2,1,10]=>[2,5,4,6,3,7,8,9,1,10]
[10,3,1,4,5,6,7,8,9,2]=>[3,10,9,2,4,5,6,7,8,1]
[9,10,1,2,4,5,6,7,8,3]=>[10,1,8,2,4,5,6,7,9,3]
[10,7,8,3,4,5,6,1,2,9]=>[6,1,8,3,4,5,10,7,2,9]
[9,3,1,2,10,5,6,7,8,4]=>[3,1,9,8,10,5,6,7,2,4]
[10,8,9,1,4,5,6,7,2,3]=>[9,7,2,1,4,5,6,10,8,3]
[8,10,9,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,9,8,10,2]
[1,10,9,8,6,5,7,4,3,2]=>[1,3,4,7,6,8,5,9,10,2]
[3,1,4,5,6,7,9,2,10,8]=>[3,9,1,4,5,6,7,10,2,8]
[8,1,9,2,3,4,5,6,10,7]=>[8,9,2,3,4,5,10,1,6,7]
[7,9,1,2,3,4,5,6,10,8]=>[9,1,2,3,4,5,7,10,6,8]
[2,9,1,10,3,4,5,6,7,8]=>[9,2,10,3,4,5,6,7,1,8]
[2,8,10,1,3,4,5,6,7,9]=>[10,2,1,3,4,5,6,8,7,9]
[10,8,6,7,4,5,2,3,1,9]=>[3,5,2,7,4,8,6,10,1,9]
[10,8,9,6,4,5,2,3,1,7]=>[3,5,2,6,4,9,1,10,8,7]
[10,8,9,6,7,4,2,3,1,5]=>[3,4,2,7,1,9,6,10,8,5]
[10,8,9,6,7,4,5,2,1,3]=>[2,5,1,7,4,9,6,10,8,3]
[7,5,6,4,2,3,1,8,9,10]=>[3,4,2,6,7,5,1,8,9,10]
[6,5,3,4,2,1,7,8,9,10]=>[2,4,5,3,6,1,7,8,9,10]
[9,6,8,7,5,2,4,3,1,10]=>[3,4,5,1,7,8,9,2,6,10]
[8,7,6,4,5,3,2,1,9,10]=>[2,3,5,6,4,7,8,1,9,10]
[8,6,3,7,5,2,4,1,9,10]=>[4,5,7,3,6,8,2,1,9,10]
[7,6,4,3,5,2,1,8,9,10]=>[2,5,4,6,3,7,1,8,9,10]
[10,7,3,9,8,6,2,5,4,1]=>[4,5,6,8,3,7,9,10,1,2]
[9,7,4,3,8,6,2,5,1,10]=>[5,6,4,8,3,7,9,2,1,10]
[8,7,5,4,3,6,2,1,9,10]=>[2,6,4,5,7,3,8,1,9,10]
[10,8,5,4,3,9,7,2,6,1]=>[6,7,4,5,9,3,8,10,2,1]
[9,8,6,5,4,3,7,2,1,10]=>[2,7,4,5,6,8,3,9,1,10]
[5,1,2,7,10,3,4,6,8,9]=>[5,1,10,3,2,4,7,6,8,9]
[2,7,1,4,10,3,5,6,8,9]=>[7,2,10,1,3,5,4,6,8,9]
[2,4,10,1,7,3,5,6,8,9]=>[10,2,7,4,3,5,1,6,8,9]
[2,4,9,1,6,10,3,5,7,8]=>[9,2,10,4,3,1,5,7,6,8]
[2,4,9,1,7,3,5,6,8,10]=>[9,2,7,4,3,5,1,6,8,10]
[2,6,1,4,9,3,5,7,8,10]=>[6,2,9,1,3,4,5,7,8,10]
[4,1,2,6,9,3,5,7,8,10]=>[4,1,9,2,3,6,5,7,8,10]
[1,2,4,6,9,3,5,7,8,10]=>[1,2,9,4,3,6,5,7,8,10]
[2,4,3,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]
[2,3,6,4,5,1,7,8,9,10]=>[5,2,3,6,4,1,7,8,9,10]
[3,4,5,2,1,6,7,8,9,10]=>[2,5,3,4,1,6,7,8,9,10]
[2,3,4,8,5,6,7,1,9,10]=>[7,2,3,4,8,5,6,1,9,10]
[3,5,4,7,2,6,1,8,9,10]=>[6,7,3,5,4,2,1,8,9,10]
[2,6,4,1,5,3,7,8,9,10]=>[4,2,6,5,3,1,7,8,9,10]
[4,5,2,6,3,1,7,8,9,10]=>[3,6,5,4,1,2,7,8,9,10]
[3,6,4,5,9,2,7,8,1,10]=>[8,9,3,6,4,5,2,7,1,10]
[2,5,4,7,8,6,3,1,9,10]=>[3,2,6,5,4,8,7,1,9,10]
[4,6,2,5,8,3,7,1,9,10]=>[7,6,8,4,2,5,3,1,9,10]
[3,5,7,6,1,4,2,8,9,10]=>[6,4,3,1,5,7,2,8,9,10]
[5,6,2,3,7,4,1,8,9,10]=>[4,7,1,6,5,3,2,8,9,10]
[2,5,4,8,6,10,7,3,9,1]=>[9,2,7,5,4,10,8,3,6,1]
[4,7,2,5,6,10,3,8,9,1]=>[9,7,10,4,2,5,6,3,8,1]
[2,3,9,5,6,1,7,8,4,10]=>[6,2,3,8,9,5,1,7,4,10]
[5,7,2,3,6,9,4,8,1,10]=>[8,7,2,9,5,3,6,4,1,10]
[2,8,4,1,6,3,7,5,9,10]=>[4,2,8,6,7,3,1,5,9,10]
[4,6,7,8,3,1,5,2,9,10]=>[3,8,5,4,2,6,7,1,9,10]
[6,7,2,3,4,8,5,1,9,10]=>[5,8,1,3,7,6,4,2,9,10]
[3,6,4,10,8,7,1,5,9,2]=>[7,8,3,6,1,4,10,9,5,2]
[2,7,4,9,6,3,10,8,5,1]=>[5,2,8,6,10,7,4,9,3,1]
[4,6,8,7,3,9,10,5,2,1]=>[2,5,10,4,7,6,8,1,9,3]
[6,8,2,3,4,7,10,5,9,1]=>[9,8,2,3,10,6,4,7,5,1]
[3,5,9,7,1,8,2,6,4,10]=>[7,9,3,6,5,1,8,2,4,10]
[5,7,8,3,9,4,1,6,2,10]=>[4,9,6,8,5,2,7,1,3,10]
[7,8,2,3,4,5,9,6,1,10]=>[6,9,1,3,4,8,7,5,2,10]
[4,6,8,10,9,1,5,2,7,3]=>[9,5,7,4,1,6,2,8,10,3]
[6,8,9,3,4,10,5,1,7,2]=>[5,10,7,1,9,6,2,8,4,3]
[8,9,2,3,4,5,6,10,7,1]=>[7,10,1,3,4,5,9,8,6,2]
[8,9,10,2,3,4,5,6,7,1]=>[7,10,2,3,4,5,6,8,9,1]
[8,10,2,3,4,5,6,1,7,9]=>[6,10,2,3,4,5,1,8,7,9]
[9,10,8,2,3,4,1,5,6,7]=>[4,8,2,3,1,5,6,10,9,7]
[8,9,10,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,10,8,9,6]
[7,8,1,9,5,10,2,3,4,6]=>[8,10,2,3,9,4,7,1,5,6]
[6,1,7,8,9,10,5,2,3,4]=>[6,5,2,3,10,1,7,8,9,4]
[1,5,6,7,8,9,10,4,2,3]=>[1,4,2,10,5,6,7,8,9,3]
[9,8,7,5,10,4,3,2,1,6]=>[2,3,4,10,7,1,8,9,5,6]
[10,8,9,6,4,7,2,5,1,3]=>[5,7,1,6,2,9,4,10,8,3]
[10,8,9,6,7,4,2,5,1,3]=>[5,4,1,7,2,9,6,10,8,3]
[2,1,8,5,9,7,4,10,3,6]=>[2,1,10,7,9,3,8,4,5,6]
[6,3,7,5,2,8,1,4,10,9]=>[8,5,7,1,6,2,3,4,10,9]
[8,3,9,5,2,7,4,10,1,6]=>[10,5,9,8,7,1,3,4,2,6]
[6,3,7,5,2,8,9,10,1,4]=>[10,5,7,1,6,2,3,8,9,4]
[8,3,9,5,6,7,2,10,1,4]=>[10,7,8,1,9,5,6,3,2,4]
[4,3,7,8,6,10,9,5,1,2]=>[5,1,4,3,9,8,7,6,10,2]
[8,3,4,5,9,7,2,10,1,6]=>[10,7,9,2,4,1,8,5,3,6]
[8,5,4,6,7,2,9,10,1,3]=>[10,7,1,5,8,4,6,2,9,3]
[2,7,4,8,6,3,9,1,10,5]=>[9,2,6,8,7,10,5,4,1,3]
[10,1,2,9,6,3,4,5,7,8]=>[10,1,6,3,4,9,5,7,2,8]
[4,1,2,10,3,5,9,6,7,8]=>[4,1,10,2,3,9,6,7,5,8]
[1,2,3,10,4,5,9,6,8,7]=>[1,2,3,10,4,9,8,6,5,7]
[1,2,9,3,4,5,10,6,8,7]=>[1,2,9,3,4,10,8,6,5,7]
[1,2,3,10,4,8,5,6,9,7]=>[1,2,3,10,8,5,9,4,6,7]
[1,2,3,5,9,10,4,6,8,7]=>[1,2,3,10,5,4,8,6,9,7]
[1,2,9,3,7,4,5,6,10,8]=>[1,2,9,7,4,5,3,10,6,8]
[1,2,4,8,3,10,5,6,9,7]=>[1,2,8,4,10,5,9,3,6,7]
[1,2,4,8,9,3,5,6,10,7]=>[1,2,9,4,3,5,10,8,6,7]
[1,2,3,10,4,5,9,7,6,8]=>[1,2,3,10,4,7,9,6,5,8]
[1,2,9,3,4,5,10,7,6,8]=>[1,2,9,3,4,7,10,6,5,8]
[1,2,3,10,4,5,8,9,6,7]=>[1,2,3,10,4,9,6,5,8,7]
[1,2,3,5,6,10,8,9,4,7]=>[1,2,3,9,5,6,4,10,8,7]
[1,2,9,3,4,7,5,10,6,8]=>[1,2,9,3,7,10,4,6,5,8]
[1,2,4,5,3,10,8,9,6,7]=>[1,2,5,4,3,9,6,10,8,7]
[1,2,4,5,9,7,3,10,6,8]=>[1,2,7,4,5,9,10,3,6,8]
[1,2,3,10,4,8,6,5,7,9]=>[1,2,3,10,6,8,5,4,7,9]
[1,2,3,5,9,10,6,4,7,8]=>[1,2,3,6,5,10,4,7,9,8]
[1,2,3,5,9,7,10,4,6,8]=>[1,2,3,10,5,4,9,6,7,8]
[1,2,9,3,7,5,4,6,8,10]=>[1,2,9,5,7,4,3,6,8,10]
[1,2,4,8,3,10,6,5,7,9]=>[1,2,8,4,6,10,5,3,7,9]
[1,2,4,8,3,7,10,5,6,9]=>[1,2,8,4,10,5,3,7,6,9]
[1,2,4,8,9,5,3,6,7,10]=>[1,2,5,4,9,3,6,8,7,10]
[1,2,3,10,4,7,5,9,6,8]=>[1,2,3,10,7,9,4,6,5,8]
[1,2,3,5,10,7,4,9,6,8]=>[1,2,3,7,5,10,9,4,6,8]
[1,2,9,3,6,4,5,10,7,8]=>[1,2,9,6,4,3,10,7,5,8]
[1,2,4,3,10,7,5,9,6,8]=>[1,2,4,3,7,10,9,5,6,8]
[1,2,4,9,6,3,5,10,7,8]=>[1,2,6,4,3,9,10,7,5,8]
[1,2,3,10,4,7,8,5,6,9]=>[1,2,3,10,8,5,4,7,6,9]
[1,2,3,5,10,7,8,4,6,9]=>[1,2,3,8,5,4,10,7,6,9]
[1,2,3,5,8,9,10,4,6,7]=>[1,2,3,10,5,4,6,8,9,7]
[1,2,9,3,6,7,4,5,8,10]=>[1,2,9,7,4,3,6,5,8,10]
[1,2,4,3,10,7,8,5,6,9]=>[1,2,4,3,8,5,10,7,6,9]
[1,2,4,3,8,9,10,5,6,7]=>[1,2,4,3,10,5,6,8,9,7]
[1,2,4,9,6,7,3,5,8,10]=>[1,2,7,4,3,9,6,5,8,10]
[1,2,4,7,8,3,10,5,6,9]=>[1,2,8,4,10,5,7,3,6,9]
[1,2,4,7,8,9,3,5,6,10]=>[1,2,9,4,3,5,7,8,6,10]
[1,3,2,4,10,7,5,9,6,8]=>[1,3,2,4,7,10,9,5,6,8]
[1,3,2,9,6,4,5,10,7,8]=>[1,3,2,6,4,9,10,7,5,8]
[1,3,2,4,10,7,8,5,6,9]=>[1,3,2,4,8,5,10,7,6,9]
[1,3,2,4,8,9,10,5,6,7]=>[1,3,2,4,10,5,6,8,9,7]
[1,3,2,9,6,7,4,5,8,10]=>[1,3,2,7,4,9,6,5,8,10]
[1,3,2,7,8,4,10,5,6,9]=>[1,3,2,8,10,5,7,4,6,9]
[1,3,2,7,8,9,4,5,6,10]=>[1,3,2,9,4,5,7,8,6,10]
[1,10,9,8,5,6,7,4,3,2]=>[1,3,4,7,8,5,6,9,10,2]
[1,10,9,5,6,7,8,4,3,2]=>[1,3,4,8,9,5,6,7,10,2]
[1,10,4,5,6,7,8,9,3,2]=>[1,3,9,10,4,5,6,7,8,2]
[7,6,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,7,6,8,9,5]
[7,8,6,9,10,1,2,3,4,5]=>[10,1,2,3,4,8,7,6,9,5]
[7,8,9,6,10,1,2,3,4,5]=>[10,1,2,3,4,9,7,8,6,5]
[7,8,9,10,6,1,2,3,4,5]=>[6,1,2,3,4,10,7,8,9,5]
[5,7,8,9,10,6,1,2,3,4]=>[6,1,2,3,5,10,7,8,9,4]
[5,6,8,9,10,1,7,2,3,4]=>[10,7,2,3,5,6,1,8,9,4]
[5,6,7,9,10,1,2,8,3,4]=>[10,1,8,3,5,6,7,2,9,4]
[5,6,7,8,10,1,2,3,9,4]=>[10,1,2,9,5,6,7,8,3,4]
[3,10,4,5,6,7,8,2,1,9]=>[2,8,3,10,4,5,6,7,1,9]
[4,1,10,5,6,7,8,9,3,2]=>[4,3,9,1,10,5,6,7,8,2]
[4,2,10,5,6,7,8,3,1,9]=>[3,8,4,1,10,5,6,7,2,9]
[3,10,4,5,6,7,2,8,1,9]=>[8,7,3,10,4,5,6,2,1,9]
[5,1,3,10,6,7,8,9,4,2]=>[5,4,1,9,3,10,6,7,8,2]
[4,1,10,5,6,7,8,3,9,2]=>[4,9,8,1,10,5,6,7,3,2]
[1,3,2,5,4,7,10,9,8,6]=>[1,3,2,5,4,8,7,9,10,6]
[1,2,3,5,4,7,10,9,8,6]=>[1,2,3,5,4,8,7,9,10,6]
[2,3,4,6,5,8,10,9,7,1]=>[7,2,3,4,6,5,9,8,10,1]
[1,3,2,5,4,6,8,10,7,9]=>[1,3,2,5,4,6,10,8,7,9]
[1,3,2,5,4,6,10,7,8,9]=>[1,3,2,5,4,6,10,7,8,9]
[1,3,2,4,6,7,5,10,8,9]=>[1,3,2,4,7,6,5,10,8,9]
[1,3,2,4,6,5,8,10,7,9]=>[1,3,2,4,6,5,10,8,7,9]
[1,3,2,4,6,5,10,7,8,9]=>[1,3,2,4,6,5,10,7,8,9]
[1,3,2,4,5,7,8,10,6,9]=>[1,3,2,4,5,10,7,8,6,9]
[1,3,2,4,5,7,10,6,8,9]=>[1,3,2,4,5,10,7,6,8,9]
[1,3,2,4,5,10,6,7,8,9]=>[1,3,2,4,5,10,6,7,8,9]
[1,2,4,5,3,7,6,10,8,9]=>[1,2,5,4,3,7,6,10,8,9]
[1,2,4,5,3,6,8,10,7,9]=>[1,2,5,4,3,6,10,8,7,9]
[1,2,4,5,3,6,10,7,8,9]=>[1,2,5,4,3,6,10,7,8,9]
[1,2,4,3,6,7,5,10,8,9]=>[1,2,4,3,7,6,5,10,8,9]
[1,2,4,3,6,5,8,10,7,9]=>[1,2,4,3,6,5,10,8,7,9]
[1,2,4,3,6,5,10,7,8,9]=>[1,2,4,3,6,5,10,7,8,9]
[1,2,4,3,5,7,8,10,6,9]=>[1,2,4,3,5,10,7,8,6,9]
[1,2,4,3,5,7,10,6,8,9]=>[1,2,4,3,5,10,7,6,8,9]
[1,2,4,3,5,10,6,7,8,9]=>[1,2,4,3,5,10,6,7,8,9]
[1,2,3,5,6,7,4,10,8,9]=>[1,2,3,7,5,6,4,10,8,9]
[1,2,3,5,6,4,8,10,7,9]=>[1,2,3,6,5,4,10,8,7,9]
[1,2,3,5,6,4,10,7,8,9]=>[1,2,3,6,5,4,10,7,8,9]
[1,2,3,5,4,7,8,10,6,9]=>[1,2,3,5,4,10,7,8,6,9]
[1,2,3,5,4,7,10,6,8,9]=>[1,2,3,5,4,10,7,6,8,9]
[1,2,3,5,4,10,6,7,8,9]=>[1,2,3,5,4,10,6,7,8,9]
[1,2,3,4,6,7,8,10,5,9]=>[1,2,3,4,10,6,7,8,5,9]
[1,2,3,4,6,7,10,5,8,9]=>[1,2,3,4,10,6,7,5,8,9]
[1,2,3,4,6,10,5,7,8,9]=>[1,2,3,4,10,6,5,7,8,9]
[5,3,1,2,6,7,8,9,10,4]=>[3,1,5,10,2,6,7,8,9,4]
[7,3,4,5,1,2,8,9,10,6]=>[5,1,7,3,4,10,2,8,9,6]
[8,3,4,5,6,1,2,9,10,7]=>[6,1,8,3,4,5,10,2,9,7]
[2,6,7,8,9,10,1,3,4,5]=>[10,2,1,3,4,6,7,8,9,5]
[2,1,4,3,8,10,7,9,6,5]=>[2,1,4,3,6,9,10,8,7,5]
[2,1,6,8,5,7,4,3,10,9]=>[2,1,4,7,8,6,5,3,10,9]
[2,1,8,10,5,7,4,9,6,3]=>[2,1,6,9,7,10,3,8,5,4]
[2,1,8,5,10,6,7,9,4,3]=>[2,1,4,9,8,10,6,5,7,3]
[2,1,4,7,10,6,9,8,5,3]=>[2,1,5,4,8,9,7,10,3,6]
[2,4,3,1,8,10,7,9,6,5]=>[3,2,4,1,6,9,10,8,7,5]
[4,6,3,5,2,1,8,7,10,9]=>[2,5,6,4,3,1,8,7,10,9]
[4,6,3,5,2,1,8,10,9,7]=>[2,5,6,4,3,1,9,8,10,7]
[6,8,3,5,2,7,4,1,10,9]=>[4,7,5,8,1,6,3,2,10,9]
[8,10,3,5,2,7,4,9,6,1]=>[6,5,9,10,4,7,2,8,1,3]
[6,7,3,5,2,10,8,4,9,1]=>[9,5,7,8,3,6,2,10,4,1]
[8,5,3,10,6,2,7,9,4,1]=>[4,9,6,5,10,8,1,3,7,2]
[4,7,3,10,6,2,9,8,5,1]=>[5,8,6,4,9,7,3,10,2,1]
[4,5,3,6,10,7,2,8,9,1]=>[9,7,5,4,3,6,10,2,8,1]
[6,3,8,4,5,7,2,1,10,9]=>[2,7,6,8,4,3,5,1,10,9]
[8,3,10,4,5,7,2,9,6,1]=>[6,9,7,8,1,10,5,4,3,2]
[2,5,8,4,7,6,3,1,10,9]=>[3,2,6,7,5,8,1,4,10,9]
[8,5,10,4,7,6,3,9,2,1]=>[2,9,6,7,10,8,5,3,4,1]
[2,7,10,4,9,6,8,3,5,1]=>[5,2,8,10,3,9,7,6,4,1]
[8,3,4,10,5,6,7,9,2,1]=>[2,9,8,3,10,5,6,4,7,1]
[2,7,4,10,5,6,9,8,3,1]=>[3,2,8,7,9,1,4,10,6,5]
[2,3,6,10,5,9,7,8,4,1]=>[4,2,3,8,10,6,9,7,5,1]
[10,8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,10,8,1]
[10,8,6,4,9,7,5,3,2,1]=>[2,3,5,7,6,9,8,10,4,1]
[10,8,6,4,2,1,9,7,5,3]=>[2,4,6,5,8,7,10,9,3,1]
[10,8,9,6,5,4,3,2,1,7]=>[2,3,4,5,6,9,1,10,8,7]
[9,7,10,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,10,9,6,7]
[9,7,4,3,2,1,5,10,8,6]=>[2,3,4,7,1,9,8,10,6,5]
[9,7,5,10,8,6,3,2,1,4]=>[2,3,6,1,8,7,10,9,5,4]
[10,8,6,4,9,7,5,2,1,3]=>[2,5,1,7,6,9,8,10,4,3]
[10,8,6,4,1,2,9,7,5,3]=>[4,1,6,5,8,7,10,9,3,2]
[2,5,1,6,3,7,4,8,9,10]=>[5,2,6,7,1,3,4,8,9,10]
[3,4,5,1,6,2,7,8,9,10]=>[5,6,3,4,1,2,7,8,9,10]
[2,6,1,7,3,8,4,9,5,10]=>[6,2,7,8,9,1,3,4,5,10]
[3,4,6,1,7,2,8,5,9,10]=>[6,7,3,4,8,1,2,5,9,10]
[3,2,6,1,7,4,8,5,9,10]=>[6,3,2,7,8,1,4,5,9,10]
[4,2,5,6,1,7,3,8,9,10]=>[6,4,7,2,5,1,3,8,9,10]
[3,4,2,6,1,7,5,8,9,10]=>[6,4,3,2,7,1,5,8,9,10]
[3,2,7,1,8,4,9,5,10,6]=>[7,3,2,8,9,10,1,4,5,6]
[4,5,6,7,1,8,2,9,3,10]=>[7,8,9,4,5,6,1,2,3,10]
[3,4,2,7,1,8,5,9,6,10]=>[7,4,3,2,8,9,1,5,6,10]
[5,3,6,4,7,1,8,2,9,10]=>[7,8,5,6,3,4,1,2,9,10]
[3,5,2,6,7,1,8,4,9,10]=>[7,5,3,8,2,6,1,4,9,10]
[4,3,5,2,7,1,8,6,9,10]=>[7,5,4,3,2,8,1,6,9,10]
[5,2,6,7,8,1,9,3,10,4]=>[8,5,9,10,2,6,7,1,3,4]
[5,3,6,4,8,1,9,2,10,7]=>[8,9,5,6,3,4,10,1,2,7]
[3,5,2,6,8,1,9,4,10,7]=>[8,5,3,9,2,6,10,1,4,7]
[4,3,5,2,8,1,9,6,10,7]=>[8,5,4,3,2,9,10,1,6,7]
[4,6,2,7,5,8,1,9,3,10]=>[8,6,9,4,7,2,5,1,3,10]
[4,3,6,2,7,8,1,9,5,10]=>[8,6,4,3,9,2,7,1,5,10]
[4,5,3,6,2,8,1,9,7,10]=>[8,6,5,4,3,2,9,1,7,10]
[5,3,7,2,8,6,9,1,10,4]=>[9,7,5,10,3,8,2,6,1,4]
[4,5,3,7,2,8,9,1,10,6]=>[9,7,5,4,3,10,2,8,1,6]
[5,4,6,3,7,2,9,1,10,8]=>[9,7,6,5,4,3,2,10,1,8]
[8,7,10,6,5,4,3,2,1,9]=>[2,3,4,5,6,10,8,7,1,9]
[8,7,6,10,5,4,3,2,1,9]=>[2,3,4,5,10,7,8,6,1,9]
[8,7,6,5,4,10,3,2,1,9]=>[2,3,10,5,6,7,8,4,1,9]
[8,7,6,5,4,3,10,2,1,9]=>[2,10,4,5,6,7,8,3,1,9]
[10,6,7,1,2,3,4,5,8,9]=>[7,1,2,3,4,10,6,5,8,9]
[9,8,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,9,8,7]
[9,7,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,9,6,7,8]
[9,6,7,10,1,2,3,4,5,8]=>[10,1,2,3,4,9,6,5,7,8]
[8,7,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,8,7,6,10]
[8,6,7,1,2,3,4,5,9,10]=>[7,1,2,3,4,8,6,5,9,10]
[7,6,8,1,2,3,4,5,9,10]=>[8,1,2,3,4,7,6,5,9,10]
[9,6,10,1,2,3,4,5,7,8]=>[10,1,2,3,4,9,5,7,6,8]
[9,5,10,1,2,3,4,6,7,8]=>[10,1,2,3,9,4,6,7,5,8]
[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[8,5,9,1,2,3,4,6,7,10]=>[9,1,2,3,8,4,6,5,7,10]
[7,5,8,1,2,3,4,6,9,10]=>[8,1,2,3,7,4,5,6,9,10]
[8,4,9,1,2,3,5,6,7,10]=>[9,1,2,8,3,5,6,4,7,10]
[7,4,8,1,2,3,5,6,9,10]=>[8,1,2,7,3,5,4,6,9,10]
[5,1,6,7,8,9,10,2,3,4]=>[5,10,2,3,1,6,7,8,9,4]
[8,6,7,9,5,4,3,2,1,10]=>[2,3,4,5,9,8,6,7,1,10]
[8,7,5,6,9,4,3,2,1,10]=>[2,3,4,9,7,5,8,6,1,10]
[8,7,6,4,5,9,3,2,1,10]=>[2,3,9,6,4,7,8,5,1,10]
[8,7,6,5,3,4,9,2,1,10]=>[2,9,5,3,6,7,8,4,1,10]
[8,7,6,5,4,2,3,9,1,10]=>[9,4,2,5,6,7,8,3,1,10]
[2,1,4,3,8,7,9,10,6,5]=>[2,1,4,3,6,10,8,7,9,5]
[2,1,6,5,7,8,4,3,10,9]=>[2,1,4,8,6,5,7,3,10,9]
[2,1,8,5,7,9,4,10,6,3]=>[2,1,6,10,9,8,3,7,5,4]
[2,1,6,5,7,8,9,10,4,3]=>[2,1,4,10,6,5,7,8,9,3]
[2,1,8,5,6,7,9,10,4,3]=>[2,1,4,10,8,5,6,7,9,3]
[2,1,4,7,6,8,9,5,10,3]=>[2,1,10,4,9,7,6,8,5,3]
[2,3,4,1,8,7,9,10,6,5]=>[4,2,3,1,6,10,8,7,9,5]
[4,3,5,6,2,1,8,7,10,9]=>[2,6,4,3,5,1,8,7,10,9]
[4,3,5,6,2,1,8,9,10,7]=>[2,6,4,3,5,1,10,8,9,7]
[6,3,5,7,2,8,4,1,10,9]=>[4,8,7,6,1,5,3,2,10,9]
[8,3,5,7,2,9,4,10,6,1]=>[6,10,7,8,4,9,5,3,1,2]
[6,3,5,7,2,8,9,10,4,1]=>[4,10,7,6,1,5,3,8,9,2]
[4,3,5,6,7,8,2,1,10,9]=>[2,8,4,3,5,6,7,1,10,9]
[8,3,5,6,7,9,2,10,4,1]=>[4,10,9,8,1,5,6,7,3,2]
[4,3,7,6,8,9,10,2,5,1]=>[5,10,4,3,2,7,6,8,9,1]
[6,3,4,5,7,8,2,1,10,9]=>[2,8,6,3,4,5,7,1,10,9]
[8,3,4,5,7,9,2,10,6,1]=>[6,10,9,1,4,8,5,7,3,2]
[6,3,4,5,7,8,9,10,2,1]=>[2,10,6,3,4,5,7,8,9,1]
[2,5,4,6,7,3,8,1,10,9]=>[8,2,7,5,4,6,3,1,10,9]
[8,5,4,6,7,3,9,10,2,1]=>[2,10,7,5,8,4,6,3,9,1]
[2,7,4,6,8,3,9,5,10,1]=>[10,2,8,7,9,4,6,3,5,1]
[2,5,4,6,7,8,9,3,10,1]=>[10,2,9,5,4,6,7,8,3,1]
[8,3,4,5,6,7,9,10,2,1]=>[2,10,8,3,4,5,6,7,9,1]
[2,7,4,5,6,8,9,3,10,1]=>[10,2,9,7,4,5,6,8,3,1]
[2,3,6,5,7,8,4,9,10,1]=>[10,2,3,8,6,5,7,4,9,1]
[4,5,1,2,3,6,7,8,9,10]=>[5,1,2,4,3,6,7,8,9,10]
[5,6,7,1,2,3,4,8,9,10]=>[7,1,2,3,5,6,4,8,9,10]
[5,3,6,1,2,4,7,8,9,10]=>[6,1,5,2,3,4,7,8,9,10]
[6,3,7,8,1,2,4,5,9,10]=>[8,1,6,2,4,3,7,5,9,10]
[6,7,4,5,1,2,3,8,9,10]=>[5,1,2,7,4,6,3,8,9,10]
[6,4,3,7,1,2,5,8,9,10]=>[7,1,4,6,2,3,5,8,9,10]
[7,3,8,9,10,1,2,4,5,6]=>[10,1,7,2,4,5,3,8,9,6]
[7,8,4,5,9,1,2,3,6,10]=>[9,1,2,8,4,3,7,5,6,10]
[7,4,3,8,9,1,2,5,6,10]=>[9,1,4,7,2,5,3,8,6,10]
[7,5,8,3,6,1,2,4,9,10]=>[6,1,8,2,7,3,5,4,9,10]
[7,5,4,3,8,1,2,6,9,10]=>[8,1,4,5,7,2,3,6,9,10]
[8,4,3,5,9,10,1,2,6,7]=>[10,1,4,8,3,2,6,5,9,7]
[8,5,4,3,9,10,1,2,6,7]=>[10,1,4,5,8,2,6,3,9,7]
[8,6,4,9,3,7,1,2,5,10]=>[7,1,9,6,2,8,3,4,5,10]
[8,6,5,4,3,9,1,2,7,10]=>[9,1,4,5,6,8,2,3,7,10]
[9,10,6,7,4,5,8,1,2,3]=>[8,1,2,7,4,10,6,5,9,3]
[9,6,4,10,3,7,8,1,2,5]=>[8,1,10,6,2,9,3,7,4,5]
[9,6,5,4,3,7,10,1,2,8]=>[10,1,4,5,6,9,3,2,7,8]
[9,7,10,5,8,3,6,1,2,4]=>[6,1,8,2,10,3,9,5,7,4]
[9,7,5,4,10,3,8,1,2,6]=>[8,1,10,5,7,2,9,3,4,6]
[9,7,6,5,4,3,10,1,2,8]=>[10,1,4,5,6,7,9,2,3,8]
[10,8,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,8,4,10,6,2]
[10,8,6,5,4,9,3,7,1,2]=>[7,1,9,5,6,8,3,10,4,2]
[10,8,7,6,5,4,3,9,1,2]=>[9,1,4,5,6,7,8,10,3,2]
[7,8,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,8,7,1,10,9]
[5,6,7,8,9,10,1,3,4,2]=>[10,4,1,3,5,6,7,8,9,2]
[5,6,7,8,9,10,1,4,3,2]=>[10,3,4,1,5,6,7,8,9,2]
[7,8,9,10,1,4,5,6,2,3]=>[10,6,2,1,4,5,7,8,9,3]
[7,8,9,10,1,4,5,6,3,2]=>[10,3,6,1,4,5,7,8,9,2]
[7,8,9,10,1,5,6,4,3,2]=>[10,3,4,6,1,5,7,8,9,2]
[7,8,9,10,1,6,5,4,3,2]=>[10,3,4,5,6,1,7,8,9,2]
[8,9,10,1,4,5,6,7,2,3]=>[10,7,2,1,4,5,6,8,9,3]
[8,9,10,1,4,5,6,7,3,2]=>[10,3,7,1,4,5,6,8,9,2]
[8,9,10,1,5,6,7,2,3,4]=>[10,7,2,3,1,5,6,8,9,4]
[8,9,10,1,5,6,7,4,3,2]=>[10,3,4,7,1,5,6,8,9,2]
[8,9,10,1,6,7,4,5,2,3]=>[10,5,2,7,4,1,6,8,9,3]
[8,9,10,1,6,7,4,5,3,2]=>[10,3,5,7,4,1,6,8,9,2]
[8,9,10,1,6,7,5,4,3,2]=>[10,3,4,5,7,1,6,8,9,2]
[8,9,10,1,7,6,5,4,3,2]=>[10,3,4,5,6,7,1,8,9,2]
[9,10,1,6,7,8,3,4,5,2]=>[10,5,8,3,4,1,6,7,9,2]
[9,10,1,6,7,8,4,5,2,3]=>[10,5,2,8,4,1,6,7,9,3]
[9,10,1,6,7,8,4,5,3,2]=>[10,3,5,8,4,1,6,7,9,2]
[9,10,1,6,7,8,5,4,3,2]=>[10,3,4,5,8,1,6,7,9,2]
[9,10,1,7,8,5,6,3,4,2]=>[10,4,6,3,8,5,1,7,9,2]
[9,10,1,7,8,5,6,4,3,2]=>[10,3,4,6,8,5,1,7,9,2]
[9,10,1,7,8,6,5,4,3,2]=>[10,3,4,5,6,8,1,7,9,2]
[10,1,8,9,6,7,4,5,3,2]=>[10,3,5,7,4,9,6,1,8,2]
[10,1,8,9,6,7,5,4,3,2]=>[10,3,4,5,7,9,6,1,8,2]
[10,1,8,9,7,6,5,4,3,2]=>[10,3,4,5,6,7,9,1,8,2]
[2,10,1,4,5,6,7,8,9,3]=>[10,2,9,1,4,5,6,7,8,3]
[3,4,10,1,5,6,7,8,9,2]=>[10,9,3,4,1,5,6,7,8,2]
[4,10,1,2,5,6,7,8,9,3]=>[10,1,9,4,2,5,6,7,8,3]
[2,4,10,1,5,6,7,8,3,9]=>[10,2,8,4,1,5,6,7,3,9]
[3,8,1,10,4,5,6,7,9,2]=>[8,9,3,10,4,5,6,1,7,2]
[3,10,1,5,6,7,8,2,9,4]=>[10,8,3,9,1,5,6,7,2,4]
[4,1,9,2,5,6,7,8,10,3]=>[4,9,10,1,2,5,6,7,8,3]
[6,10,9,8,7,5,4,3,1,2]=>[3,1,4,5,7,6,8,9,10,2]
[8,9,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,9,8,2,1]
[2,9,10,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,10,9,1]
[7,9,8,6,5,4,3,2,10,1]=>[10,3,4,5,6,8,7,9,2,1]
[2,9,8,10,7,6,5,4,3,1]=>[3,2,4,5,6,7,10,9,8,1]
[2,8,10,9,7,6,5,4,3,1]=>[3,2,4,5,6,7,9,8,10,1]
[2,3,4,5,6,7,1,9,10,8]=>[7,2,3,4,5,6,1,10,9,8]
[2,3,4,5,1,7,8,9,10,6]=>[5,2,3,4,1,10,7,8,9,6]
[2,3,1,5,6,7,8,9,10,4]=>[3,2,1,10,5,6,7,8,9,4]
[4,2,5,3,7,6,9,8,1,10]=>[8,4,5,2,3,7,6,9,1,10]
[4,2,6,3,7,5,9,8,1,10]=>[8,4,6,2,7,3,5,9,1,10]
[4,2,6,3,8,5,9,7,1,10]=>[7,4,6,2,9,3,8,1,5,10]
[4,2,6,3,8,5,10,7,1,9]=>[7,4,6,2,10,3,8,1,5,9]
[4,2,6,3,8,5,10,7,9,1]=>[9,4,6,2,8,3,10,5,7,1]
[4,2,6,3,8,5,7,10,9,1]=>[9,4,6,2,8,3,5,7,10,1]
[4,2,6,3,5,8,7,10,9,1]=>[9,4,6,2,3,5,8,7,10,1]
[4,2,3,6,5,8,7,10,9,1]=>[9,4,2,3,6,5,8,7,10,1]
[8,10,1,9,7,6,5,4,3,2]=>[10,3,4,5,6,7,9,8,1,2]
[3,4,5,6,7,10,2,1,9,8]=>[2,10,3,4,5,6,7,9,1,8]
[3,4,5,6,9,2,10,1,8,7]=>[10,9,3,4,5,6,8,1,2,7]
[3,4,5,8,2,9,10,1,6,7]=>[10,8,3,4,5,1,6,2,9,7]
[3,4,7,2,8,9,10,1,6,5]=>[10,7,3,4,6,1,2,8,9,5]
[3,6,2,7,8,9,10,1,5,4]=>[10,6,3,5,1,2,7,8,9,4]
[5,2,6,7,8,9,10,1,3,4]=>[10,5,1,3,2,6,7,8,9,4]
[2,10,9,8,6,7,5,4,3,1]=>[3,2,4,5,7,8,6,9,10,1]
[9,8,7,5,4,6,3,2,10,1]=>[10,3,6,5,7,4,8,9,2,1]
[9,8,7,4,6,5,3,2,10,1]=>[10,3,5,6,7,2,8,9,4,1]
[2,10,9,8,6,5,7,4,3,1]=>[3,2,4,7,6,8,5,9,10,1]
[2,10,9,8,5,7,6,4,3,1]=>[3,2,4,6,7,8,1,9,10,5]
[9,10,8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,10,9,2]
[10,8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,10,2,1]
[3,2,5,4,7,6,1,8,9,10]=>[6,3,2,5,4,7,1,8,9,10]
[3,2,5,4,1,9,8,6,7,10]=>[4,3,2,5,1,8,6,9,7,10]
[3,2,5,4,1,6,7,8,9,10]=>[4,3,2,5,1,6,7,8,9,10]
[3,2,7,6,5,4,1,8,9,10]=>[4,3,2,5,6,7,1,8,9,10]
[3,2,1,7,6,9,8,4,5,10]=>[2,3,1,8,4,7,6,9,5,10]
[3,2,1,7,6,4,5,8,9,10]=>[2,3,1,6,4,7,5,8,9,10]
[3,2,1,9,8,7,6,4,5,10]=>[2,3,1,6,4,7,8,9,5,10]
[3,2,1,4,9,8,5,6,7,10]=>[2,3,1,4,8,5,6,9,7,10]
[5,4,3,2,7,6,1,8,9,10]=>[6,3,4,5,2,7,1,8,9,10]
[5,4,3,2,1,9,8,6,7,10]=>[2,3,4,5,1,8,6,9,7,10]
[7,4,3,6,5,2,1,8,9,10]=>[2,5,4,6,7,1,3,8,9,10]
[1,5,4,7,6,9,8,2,3,10]=>[1,8,2,5,4,7,6,9,3,10]
[1,5,4,7,6,2,3,8,9,10]=>[1,6,2,5,4,7,3,8,9,10]
[1,5,4,9,8,7,6,2,3,10]=>[1,6,2,5,4,7,8,9,3,10]
[1,5,4,2,9,8,3,6,7,10]=>[1,4,5,8,3,2,6,9,7,10]
[1,5,4,2,3,6,7,8,9,10]=>[1,4,2,5,3,6,7,8,9,10]
[1,7,6,5,4,9,8,2,3,10]=>[1,8,2,5,6,7,4,9,3,10]
[1,7,6,5,4,2,3,8,9,10]=>[1,4,2,5,6,7,3,8,9,10]
[1,9,6,5,8,7,4,2,3,10]=>[1,4,2,7,6,8,9,3,5,10]
[1,2,7,6,9,8,3,4,5,10]=>[1,2,8,3,4,7,6,9,5,10]
[1,2,7,6,3,4,5,8,9,10]=>[1,2,6,3,4,7,5,8,9,10]
[1,9,8,7,6,5,4,2,3,10]=>[1,4,2,5,6,7,8,9,3,10]
[1,2,9,8,7,6,3,4,5,10]=>[1,2,6,3,4,7,8,9,5,10]
[1,2,3,9,8,4,5,6,7,10]=>[1,2,3,8,4,5,6,9,7,10]
[10,2,9,8,5,6,7,4,3,1]=>[3,4,7,10,8,5,6,9,2,1]
[8,10,9,4,5,6,7,1,3,2]=>[7,3,1,9,4,5,6,8,10,2]
[9,7,6,4,5,3,2,10,1,8]=>[10,3,5,6,4,7,9,1,2,8]
[9,2,10,8,5,6,7,4,1,3]=>[4,7,2,9,8,5,6,10,1,3]
[10,2,8,7,5,6,4,3,9,1]=>[9,10,4,6,7,5,8,2,3,1]
[1,3,2,4,5,6,7,8,10,9]=>[1,3,2,4,5,6,7,8,10,9]
[2,9,4,5,6,7,8,1,10,3]=>[8,2,10,9,4,5,6,7,1,3]
[4,3,10,5,6,7,8,9,2,1]=>[2,9,4,3,10,5,6,7,8,1]
[3,2,9,5,6,7,8,1,10,4]=>[8,3,2,10,9,5,6,7,1,4]
[8,9,4,5,6,7,1,3,10,2]=>[7,10,1,9,4,5,6,8,3,2]
[3,4,1,10,6,7,8,9,2,5]=>[4,9,3,1,2,10,6,7,8,5]
[4,9,10,5,6,7,8,2,1,3]=>[2,8,1,4,10,5,6,7,9,3]
[9,1,2,3,6,4,5,7,8,10]=>[9,1,2,6,4,3,5,7,8,10]
[4,9,8,7,6,5,3,2,1,10]=>[2,3,5,4,6,7,8,9,1,10]
[5,10,9,8,7,6,4,3,1,2]=>[3,1,4,6,5,7,8,9,10,2]
[5,6,7,8,9,10,3,2,1,4]=>[2,3,10,1,5,6,7,8,9,4]
[7,8,9,10,3,4,5,1,2,6]=>[5,1,10,3,4,2,7,8,9,6]
[7,8,9,10,3,4,5,2,1,6]=>[2,5,10,3,4,1,7,8,9,6]
[7,8,9,10,4,5,2,3,1,6]=>[3,5,2,10,4,1,7,8,9,6]
[7,8,9,10,4,5,3,2,1,6]=>[2,3,5,10,4,1,7,8,9,6]
[7,8,9,10,5,4,3,2,1,6]=>[2,3,4,5,10,1,7,8,9,6]
[8,9,10,3,4,5,6,1,2,7]=>[6,1,10,3,4,5,2,8,9,7]
[8,9,10,3,4,5,6,2,1,7]=>[2,6,10,3,4,5,1,8,9,7]
[8,9,10,4,5,6,1,2,3,7]=>[6,1,2,10,4,5,3,8,9,7]
[8,9,10,4,5,6,3,2,1,7]=>[2,3,6,10,4,5,1,8,9,7]
[8,9,10,5,6,3,4,1,2,7]=>[4,1,6,3,10,5,2,8,9,7]
[8,9,10,5,6,3,4,2,1,7]=>[2,4,6,3,10,5,1,8,9,7]
[8,9,10,5,6,4,3,2,1,7]=>[2,3,4,6,10,5,1,8,9,7]
[8,9,10,6,5,4,3,2,1,7]=>[2,3,4,5,6,10,1,8,9,7]
[9,10,5,6,7,2,3,4,1,8]=>[4,7,2,3,10,5,6,1,9,8]
[9,10,5,6,7,3,4,1,2,8]=>[4,1,7,3,10,5,6,2,9,8]
[9,10,5,6,7,3,4,2,1,8]=>[2,4,7,3,10,5,6,1,9,8]
[9,10,5,6,7,4,3,2,1,8]=>[2,3,4,7,10,5,6,1,9,8]
[9,10,6,7,4,5,3,2,1,8]=>[2,3,5,7,4,10,6,1,9,8]
[9,10,6,7,5,4,3,2,1,8]=>[2,3,4,5,7,10,6,1,9,8]
[9,10,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,10,1,9,8]
[10,7,8,5,6,3,4,2,1,9]=>[2,4,6,3,8,5,10,7,1,9]
[10,7,8,5,6,4,3,2,1,9]=>[2,3,4,6,8,5,10,7,1,9]
[10,7,8,6,5,4,3,2,1,9]=>[2,3,4,5,6,8,10,7,1,9]
[10,9,1,2,3,7,8,4,5,6]=>[9,1,2,8,4,5,3,7,10,6]
[10,9,1,2,8,7,3,4,5,6]=>[9,1,7,3,4,5,8,2,10,6]
[9,8,1,10,7,2,3,4,5,6]=>[8,7,1,3,4,5,9,10,2,6]
[8,6,1,2,3,4,5,9,10,7]=>[6,1,2,3,4,8,10,5,9,7]
[5,7,1,2,3,4,8,9,10,6]=>[7,1,2,3,5,10,4,8,9,6]
[10,4,1,2,3,7,8,9,5,6]=>[4,1,2,10,9,5,3,7,8,6]
[10,3,1,2,9,7,8,4,5,6]=>[3,1,10,8,4,5,9,7,2,6]
[2,9,1,10,8,7,3,4,5,6]=>[9,2,7,3,4,5,8,10,1,6]
[9,1,8,3,2,4,10,7,6,5]=>[9,3,8,2,6,7,10,1,4,5]
[8,1,10,3,2,4,9,6,7,5]=>[8,3,10,2,7,9,6,1,4,5]
[10,1,9,3,2,4,8,7,6,5]=>[10,3,9,2,6,7,8,4,1,5]
[10,1,9,3,2,8,4,6,7,5]=>[10,3,9,8,7,4,6,2,1,5]
[8,1,2,3,10,9,5,6,4,7]=>[8,1,2,6,9,5,4,3,10,7]
[8,1,2,10,3,9,5,4,6,7]=>[8,1,10,5,9,4,6,2,3,7]
[7,1,2,10,9,4,5,3,8,6]=>[7,1,5,9,4,8,2,3,10,6]
[8,1,10,2,3,9,5,6,4,7]=>[8,10,2,6,9,5,4,1,3,7]
[7,1,10,2,9,4,3,5,8,6]=>[7,10,4,9,3,8,1,5,2,6]
[10,1,2,9,3,8,5,6,4,7]=>[10,1,9,6,8,5,4,3,2,7]
[10,1,9,2,3,8,5,6,7,4]=>[10,9,2,7,8,5,6,3,1,4]
[10,1,9,2,8,4,3,5,7,6]=>[10,9,4,8,3,7,5,2,1,6]
[9,1,8,2,7,4,5,3,6,10]=>[9,8,5,7,4,3,2,1,6,10]
[10,1,9,8,3,2,4,7,5,6]=>[10,3,8,2,7,5,4,9,1,6]
[8,10,1,2,3,9,5,4,6,7]=>[10,1,2,5,9,4,6,8,3,7]
[7,10,1,2,9,4,5,3,8,6]=>[10,1,5,9,4,8,7,3,2,6]
[10,9,1,2,3,8,5,6,4,7]=>[9,1,2,6,8,5,4,3,10,7]
[10,9,1,2,8,4,3,5,6,7]=>[9,1,4,8,3,5,6,2,10,7]
[9,8,1,2,7,4,5,6,3,10]=>[8,1,6,7,4,5,2,9,3,10]
[10,9,1,8,3,2,4,7,6,5]=>[9,3,8,2,6,7,4,1,10,5]
[1,4,3,5,6,7,8,9,10,2]=>[1,10,4,3,5,6,7,8,9,2]
[4,2,6,1,3,5,8,7,10,9]=>[6,4,1,2,3,5,8,7,10,9]
[4,2,6,1,8,3,5,7,10,9]=>[6,4,8,2,3,1,5,7,10,9]
[4,2,6,1,8,3,10,5,7,9]=>[6,4,8,2,10,1,5,3,7,9]
[10,7,1,8,2,9,3,4,5,6]=>[7,10,8,1,4,5,9,2,3,6]
[9,7,1,10,8,2,3,4,5,6]=>[7,9,1,3,4,5,8,10,2,6]
[10,9,7,1,8,2,3,4,5,6]=>[7,9,1,3,4,5,8,2,10,6]
[10,6,1,7,2,8,3,9,4,5]=>[6,10,7,8,1,9,2,3,4,5]
[9,6,1,10,7,2,8,3,4,5]=>[6,9,7,3,4,10,8,1,2,5]
[10,9,6,1,7,2,8,3,4,5]=>[6,9,7,1,4,8,2,3,10,5]
[10,8,6,1,9,7,2,3,4,5]=>[6,8,2,3,4,7,10,9,1,5]
[10,9,8,6,1,7,2,3,4,5]=>[6,8,1,3,4,7,2,9,10,5]
[9,5,1,10,6,2,7,3,8,4]=>[5,9,6,10,7,8,4,1,2,3]
[10,9,5,1,6,2,7,3,8,4]=>[5,9,6,7,8,2,3,4,10,1]
[8,5,1,9,6,2,10,7,3,4]=>[5,8,6,3,9,7,10,2,1,4]
[10,8,5,1,9,6,2,7,3,4]=>[5,8,6,3,10,7,2,9,1,4]
[10,9,8,5,1,6,2,7,3,4]=>[5,8,6,1,7,2,3,9,10,4]
[9,7,5,1,10,8,6,2,3,4]=>[5,7,2,3,6,9,8,10,1,4]
[10,9,7,5,1,8,6,2,3,4]=>[5,7,2,3,6,9,8,1,10,4]
[10,9,8,7,5,1,6,2,3,4]=>[5,7,1,3,6,2,8,9,10,4]
[9,7,4,1,10,8,5,2,6,3]=>[4,7,5,9,6,2,8,10,1,3]
[10,9,7,4,1,8,5,2,6,3]=>[4,7,5,9,6,2,8,1,10,3]
[10,9,8,7,4,1,5,2,6,3]=>[4,7,5,6,2,3,8,9,10,1]
[10,8,6,4,1,9,7,5,2,3]=>[4,6,1,5,8,7,10,9,2,3]
[10,9,8,6,4,1,7,5,2,3]=>[4,6,2,5,8,7,1,9,10,3]
[10,9,8,7,6,4,1,5,2,3]=>[4,6,1,5,2,7,8,9,10,3]
[10,9,7,5,3,1,8,6,4,2]=>[3,5,4,7,6,9,8,2,10,1]
[10,9,8,7,5,3,1,6,4,2]=>[3,5,4,7,6,1,8,9,10,2]
[10,9,8,7,6,5,3,1,4,2]=>[3,5,4,2,6,7,8,9,10,1]
[3,10,9,8,7,6,5,4,1,2]=>[4,1,3,5,6,7,8,9,10,2]
[2,3,4,10,6,7,8,9,1,5]=>[9,2,3,4,1,10,6,7,8,5]
[2,3,10,5,6,7,8,9,1,4]=>[9,2,3,1,10,5,6,7,8,4]
[2,3,4,5,6,10,1,9,7,8]=>[10,2,3,4,5,6,9,7,1,8]
[2,3,4,5,10,1,8,9,6,7]=>[10,2,3,4,5,9,6,1,8,7]
[2,3,10,1,6,7,8,9,4,5]=>[10,2,3,9,4,1,6,7,8,5]
[1,4,2,6,5,8,7,10,9,3]=>[1,4,9,2,6,5,8,7,10,3]
[1,5,2,6,4,8,7,10,9,3]=>[1,5,9,6,2,4,8,7,10,3]
[1,5,2,7,4,8,6,10,9,3]=>[1,5,9,7,2,8,4,6,10,3]
[1,5,2,7,4,9,6,10,8,3]=>[1,5,8,7,2,10,4,9,3,6]
[1,5,2,7,4,9,6,8,10,3]=>[1,5,10,7,2,9,4,6,8,3]
[1,5,2,7,4,6,9,8,10,3]=>[1,5,10,7,2,4,6,9,8,3]
[1,5,2,4,7,6,9,8,10,3]=>[1,5,10,2,4,7,6,9,8,3]
[1,2,5,4,7,6,9,8,10,3]=>[1,2,10,5,4,7,6,9,8,3]
[9,10,7,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,7,9,3]
[9,10,7,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,7,9,2]
[9,10,7,5,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,2,9,5]
[9,10,7,5,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,1,9,5]
[9,10,7,5,8,3,6,4,1,2]=>[4,1,6,8,7,2,10,5,9,3]
[9,10,7,5,8,3,1,6,4,2]=>[3,8,4,6,7,2,10,5,9,1]
[9,10,7,5,3,8,6,4,1,2]=>[4,1,6,5,8,7,10,3,9,2]
[9,10,7,5,3,8,6,1,4,2]=>[6,4,5,3,8,7,10,1,9,2]
[9,10,7,5,3,8,1,6,4,2]=>[8,4,6,5,7,1,10,2,9,3]
[9,10,7,5,3,1,8,6,4,2]=>[3,5,4,7,6,10,8,2,9,1]
[9,7,10,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,9,1,7]
[9,7,10,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,9,3,7]
[9,7,10,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,9,2,7]
[9,7,10,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,9,2,7]
[9,7,10,5,8,6,3,1,4,2]=>[3,6,4,2,8,10,9,1,7,5]
[9,7,10,5,8,3,1,6,4,2]=>[3,8,4,6,10,2,9,5,7,1]
[9,7,10,5,3,8,6,4,1,2]=>[4,1,6,5,8,10,9,3,7,2]
[9,7,10,5,3,8,6,1,4,2]=>[6,4,5,3,8,10,9,1,7,2]
[9,7,10,5,3,8,1,6,4,2]=>[8,4,6,5,10,1,9,2,7,3]
[9,7,10,5,3,1,8,6,4,2]=>[3,5,4,10,6,8,9,1,7,2]
[9,7,5,10,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,9,5,2]
[9,7,5,10,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,9,5,1]
[9,7,5,10,8,3,6,4,1,2]=>[4,1,6,8,7,5,10,9,2,3]
[9,7,5,10,8,3,6,1,4,2]=>[6,4,8,1,7,5,10,9,3,2]
[9,7,5,10,8,3,1,6,4,2]=>[3,8,4,6,7,5,10,9,2,1]
[9,7,5,10,3,8,6,4,1,2]=>[4,1,6,8,10,7,9,5,3,2]
[9,7,5,10,3,8,6,1,4,2]=>[6,4,8,3,10,7,9,5,1,2]
[9,7,5,10,3,8,1,6,4,2]=>[8,4,6,10,7,1,9,2,5,3]
[9,7,5,10,3,1,8,6,4,2]=>[3,10,4,6,8,7,9,2,1,5]
[9,7,5,3,10,8,6,4,1,2]=>[4,1,6,5,8,7,10,9,2,3]
[9,7,5,3,10,8,6,1,4,2]=>[6,4,5,1,8,7,10,9,3,2]
[9,7,5,3,10,8,1,6,4,2]=>[8,4,6,5,7,2,10,9,1,3]
[9,7,5,3,10,1,8,6,4,2]=>[10,4,6,5,8,7,9,1,3,2]
[5,6,7,8,10,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,10,1]
[6,5,7,8,9,10,4,3,2,1]=>[2,3,4,10,6,5,7,8,9,1]
[4,5,6,7,8,10,9,3,2,1]=>[2,3,9,4,5,6,7,8,10,1]
[5,4,6,7,8,9,10,3,2,1]=>[2,3,10,5,4,6,7,8,9,1]
[3,4,5,6,7,9,10,8,1,2]=>[8,1,3,4,5,6,7,10,9,2]
[3,4,5,6,8,9,10,7,1,2]=>[7,1,3,4,5,6,10,8,9,2]
[3,4,6,7,8,9,10,5,1,2]=>[5,1,3,4,10,6,7,8,9,2]
[3,5,6,7,8,9,10,4,1,2]=>[4,1,3,10,5,6,7,8,9,2]
[3,4,5,6,7,10,1,8,9,2]=>[10,9,3,4,5,6,7,1,8,2]
[3,4,5,6,9,1,10,8,7,2]=>[9,7,3,4,5,6,8,10,1,2]
[3,4,5,8,1,9,10,7,6,2]=>[8,6,3,4,5,7,10,1,9,2]
[3,4,7,1,8,9,10,5,6,2]=>[7,6,3,4,10,5,1,8,9,2]
[3,6,1,7,8,9,10,5,4,2]=>[6,4,3,5,10,1,7,8,9,2]
[5,1,6,7,8,9,10,4,3,2]=>[5,3,4,10,1,6,7,8,9,2]
[1,3,4,5,6,7,8,2,9,10]=>[1,8,3,4,5,6,7,2,9,10]
[1,2,3,4,5,10,6,9,8,7]=>[1,2,3,4,5,10,8,9,6,7]
[1,2,3,4,10,5,6,9,7,8]=>[1,2,3,4,10,5,9,7,6,8]
[1,2,3,4,10,5,6,9,8,7]=>[1,2,3,4,10,5,8,9,6,7]
[1,2,3,4,10,5,9,8,7,6]=>[1,2,3,4,10,7,8,9,5,6]
[1,2,3,10,4,5,6,9,8,7]=>[1,2,3,10,4,5,8,9,6,7]
[1,2,3,10,4,5,9,6,7,8]=>[1,2,3,10,4,9,6,7,5,8]
[1,2,3,10,4,5,9,8,7,6]=>[1,2,3,10,4,7,8,9,5,6]
[1,2,3,10,4,9,5,8,7,6]=>[1,2,3,10,9,7,8,5,4,6]
[1,2,3,10,4,9,8,7,6,5]=>[1,2,3,10,6,7,8,9,4,5]
[1,2,10,3,4,9,5,6,8,7]=>[1,2,10,3,9,5,8,6,4,7]
[1,2,10,3,4,9,5,8,6,7]=>[1,2,10,3,9,8,6,5,4,7]
[1,2,10,3,4,9,5,8,7,6]=>[1,2,10,3,9,7,8,5,4,6]
[1,2,10,3,4,9,8,7,6,5]=>[1,2,10,3,6,7,8,9,4,5]
[1,2,10,3,9,4,8,7,6,5]=>[1,2,10,9,6,7,8,4,3,5]
[1,2,10,3,9,8,7,6,5,4]=>[1,2,10,5,6,7,8,9,3,4]
[1,10,2,9,3,8,4,7,6,5]=>[1,10,9,8,6,7,4,3,2,5]
[1,10,2,9,3,8,7,6,5,4]=>[1,10,9,5,6,7,8,3,2,4]
[1,10,2,9,8,7,6,5,4,3]=>[1,10,4,5,6,7,8,9,2,3]
[10,1,9,2,3,4,5,6,7,8]=>[10,9,2,3,4,5,6,7,1,8]
[9,1,8,2,10,3,4,5,6,7]=>[9,8,10,3,4,5,6,1,2,7]
[10,1,9,2,8,3,7,4,5,6]=>[10,9,8,7,4,5,3,2,1,6]
[9,1,8,2,7,3,10,4,5,6]=>[9,8,7,10,4,5,2,1,3,6]
[8,1,7,2,10,3,9,4,5,6]=>[8,7,10,9,4,5,1,2,3,6]
[8,1,7,2,9,3,10,4,5,6]=>[8,7,9,10,4,5,1,2,3,6]
[9,1,8,2,7,3,6,4,10,5]=>[9,8,7,6,10,3,2,1,4,5]
[8,1,7,2,6,3,10,4,9,5]=>[8,7,6,10,9,2,1,3,4,5]
[8,1,7,2,6,3,9,4,10,5]=>[8,7,6,9,10,2,1,3,4,5]
[7,1,6,2,9,3,8,4,10,5]=>[7,6,9,8,10,1,2,3,4,5]
[7,1,6,2,8,3,9,4,10,5]=>[7,6,8,9,10,1,2,3,4,5]
[8,1,7,6,5,2,10,3,9,4]=>[8,5,6,7,10,9,1,4,2,3]
[8,1,7,6,5,2,9,3,10,4]=>[8,5,6,7,9,10,1,4,2,3]
[7,6,5,1,10,2,9,3,8,4]=>[5,6,7,10,9,8,3,1,4,2]
[7,6,5,1,8,2,9,3,10,4]=>[5,6,7,8,9,10,3,4,1,2]
[5,6,8,1,7,2,10,3,9,4]=>[8,7,10,9,5,6,1,2,3,4]
[5,6,8,1,7,2,9,3,10,4]=>[8,7,9,10,5,6,1,2,3,4]
[6,5,7,1,8,2,9,3,10,4]=>[7,8,9,10,6,5,1,2,3,4]
[9,4,5,6,8,1,7,2,10,3]=>[8,7,10,9,4,5,1,6,2,3]
[8,4,5,6,7,1,10,2,9,3]=>[7,10,9,8,4,5,6,1,2,3]
[8,4,5,6,7,1,9,2,10,3]=>[7,9,10,8,4,5,6,1,2,3]
[7,4,5,6,8,1,9,2,10,3]=>[8,9,10,7,4,5,6,1,2,3]
[7,4,6,5,9,1,8,2,10,3]=>[9,8,10,7,6,4,5,1,2,3]
[7,4,6,5,8,1,9,2,10,3]=>[8,9,10,7,6,4,5,1,2,3]
[6,4,7,5,8,1,9,2,10,3]=>[8,9,10,6,7,4,5,1,2,3]
[6,5,7,4,8,1,9,2,10,3]=>[8,9,10,7,6,5,4,1,2,3]
[5,6,8,3,7,4,9,1,10,2]=>[9,10,8,7,5,6,3,4,1,2]
[6,5,7,3,8,4,9,1,10,2]=>[9,10,7,8,6,5,3,4,1,2]
[6,5,7,4,8,3,9,1,10,2]=>[9,10,8,7,6,5,4,3,1,2]
[6,10,5,1,2,3,4,7,8,9]=>[5,1,2,3,10,6,4,7,8,9]
[10,5,4,1,2,3,6,7,8,9]=>[4,1,2,5,10,3,6,7,8,9]
[10,9,3,4,5,6,8,7,2,1]=>[2,7,8,1,4,5,9,6,10,3]
[10,9,4,3,5,6,7,8,2,1]=>[2,8,4,9,3,5,6,7,10,1]
[10,3,4,5,6,7,9,8,2,1]=>[2,8,9,1,4,5,6,10,7,3]
[10,4,3,5,6,7,8,9,2,1]=>[2,9,4,10,3,5,6,7,8,1]
[1,2,3,4,5,8,6,9,7,10]=>[1,2,3,4,5,8,9,6,7,10]
[1,2,3,4,5,9,6,10,7,8]=>[1,2,3,4,5,9,10,7,6,8]
[1,2,3,4,5,8,9,10,6,7]=>[1,2,3,4,5,10,6,8,9,7]
[1,2,3,4,5,9,10,6,7,8]=>[1,2,3,4,5,10,6,7,9,8]
[9,1,2,8,4,5,10,7,3,6]=>[9,1,7,10,3,4,8,2,5,6]
[9,1,8,3,4,2,10,7,5,6]=>[9,4,8,3,7,5,10,1,2,6]
[8,1,7,3,4,10,6,2,5,9]=>[8,6,10,2,3,7,1,4,5,9]
[8,1,2,3,10,5,9,7,6,4]=>[8,1,2,6,7,9,10,3,5,4]
[8,1,2,10,4,5,9,7,3,6]=>[8,1,7,9,3,4,10,2,5,6]
[7,1,2,10,4,9,6,5,3,8]=>[7,1,5,6,9,10,2,3,4,8]
[8,1,10,3,4,2,9,7,5,6]=>[8,4,10,3,7,5,9,1,2,6]
[7,1,10,3,4,9,6,2,5,8]=>[7,6,9,2,3,10,1,5,4,8]
[10,1,2,9,4,5,8,7,3,6]=>[10,1,7,8,3,4,9,5,2,6]
[10,1,2,9,4,8,6,5,3,7]=>[10,1,5,6,8,9,3,4,2,7]
[10,1,9,3,4,2,8,7,5,6]=>[10,4,9,3,7,5,8,2,1,6]
[10,1,9,3,4,8,6,2,5,7]=>[10,6,8,2,3,9,5,4,1,7]
[9,1,8,3,4,7,6,2,5,10]=>[9,6,7,2,3,8,4,1,5,10]
[8,1,2,3,10,9,6,5,7,4]=>[8,1,2,7,6,9,5,3,10,4]
[8,1,2,10,4,9,6,3,7,5]=>[8,1,6,9,10,7,4,2,5,3]
[7,1,2,10,9,5,4,6,3,8]=>[7,1,6,5,9,4,2,3,10,8]
[8,1,10,3,2,9,6,4,7,5]=>[8,3,10,6,9,7,5,1,2,4]
[7,1,10,3,9,5,2,6,4,8]=>[7,5,9,10,6,3,1,2,4,8]
[10,1,2,3,9,8,6,5,7,4]=>[10,1,2,7,6,8,5,9,3,4]
[10,1,2,9,4,8,6,3,7,5]=>[10,1,6,8,9,7,4,5,2,3]
[10,1,2,9,8,5,4,6,3,7]=>[10,1,6,5,8,4,3,9,2,7]
[9,1,2,8,7,5,4,6,3,10]=>[9,1,6,5,7,4,8,2,3,10]
[10,1,9,3,2,8,6,4,7,5]=>[10,3,9,6,8,7,5,2,1,4]
[10,1,9,3,8,5,2,6,4,7]=>[10,5,8,9,6,3,2,4,1,7]
[9,1,8,3,7,5,2,6,4,10]=>[9,5,7,8,6,3,4,1,2,10]
[10,1,9,8,4,3,5,2,6,7]=>[10,5,4,8,3,2,6,9,1,7]
[9,1,8,7,4,3,5,2,6,10]=>[9,5,4,7,3,2,8,1,6,10]
[8,10,2,1,3,9,6,4,7,5]=>[2,10,1,6,9,7,5,8,3,4]
[7,10,2,1,9,5,3,6,4,8]=>[2,10,5,9,6,4,7,3,1,8]
[10,9,2,1,3,8,6,4,7,5]=>[2,9,1,6,8,7,5,3,10,4]
[10,9,2,1,8,5,3,6,4,7]=>[2,9,5,8,6,4,3,1,10,7]
[9,8,2,1,7,5,3,6,4,10]=>[2,8,5,7,6,4,1,9,3,10]
[10,9,2,8,4,1,5,3,6,7]=>[4,8,9,5,2,1,6,3,10,7]
[10,8,7,6,5,4,3,9,2,1]=>[2,9,4,5,6,7,8,10,3,1]
[10,9,7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,9,4,10,1]
[6,4,2,1,3,5,8,7,10,9]=>[2,4,1,6,3,5,8,7,10,9]
[8,6,4,2,1,3,5,7,10,9]=>[2,4,1,6,3,8,5,7,10,9]
[9,8,6,4,2,1,3,5,7,10]=>[2,4,1,6,3,8,5,9,7,10]
[7,6,4,2,1,3,5,9,8,10]=>[2,4,1,6,3,7,5,9,8,10]
[5,4,2,1,3,7,6,9,8,10]=>[2,4,1,5,3,7,6,9,8,10]
[9,8,7,4,6,5,3,2,1,10]=>[2,3,5,6,7,1,8,9,4,10]
[10,9,8,4,6,7,5,3,2,1]=>[2,3,5,7,8,1,6,9,10,4]
[6,5,7,8,9,1,2,3,4,10]=>[9,1,2,3,6,5,7,8,4,10]
[1,7,6,8,9,10,2,3,4,5]=>[1,10,2,3,4,7,6,8,9,5]
[2,3,4,5,6,7,1,10,9,8]=>[7,2,3,4,5,6,1,9,10,8]
[2,3,4,5,6,1,7,10,9,8]=>[6,2,3,4,5,1,7,9,10,8]
[2,3,4,6,1,5,7,10,8,9]=>[6,2,3,4,1,5,7,10,8,9]
[2,3,4,1,5,6,7,10,9,8]=>[4,2,3,1,5,6,7,9,10,8]
[2,3,1,4,5,6,7,10,9,8]=>[3,2,1,4,5,6,7,9,10,8]
[3,1,2,4,5,6,7,10,8,9]=>[3,1,2,4,5,6,7,10,8,9]
[2,3,4,5,6,8,10,1,7,9]=>[10,2,3,4,5,6,1,8,7,9]
[3,4,5,6,8,1,9,10,7,2]=>[8,7,3,4,5,6,10,1,9,2]
[3,4,5,7,1,8,2,10,9,6]=>[7,8,3,4,5,9,1,2,10,6]
[2,3,5,1,6,4,7,10,8,9]=>[5,2,3,6,1,4,7,10,8,9]
[3,5,1,6,2,4,7,10,9,8]=>[5,6,3,2,1,4,7,9,10,8]
[4,1,5,2,3,6,7,10,9,8]=>[4,5,2,1,3,6,7,9,10,8]
[1,3,2,4,5,6,7,10,8,9]=>[1,3,2,4,5,6,7,10,8,9]
[9,10,2,1,3,4,5,6,7,8]=>[2,10,1,3,4,5,6,7,9,8]
[1,2,6,3,4,5,7,8,9,10]=>[1,2,6,3,4,5,7,8,9,10]
[1,4,5,2,3,6,7,8,9,10]=>[1,5,2,4,3,6,7,8,9,10]
[1,4,2,7,3,5,6,8,9,10]=>[1,4,7,2,3,5,6,8,9,10]
[1,5,4,6,2,3,7,8,9,10]=>[1,6,2,5,4,3,7,8,9,10]
[1,4,2,3,9,5,6,7,8,10]=>[1,4,2,3,9,5,6,7,8,10]
[1,2,4,7,8,3,5,6,9,10]=>[1,2,8,4,3,5,7,6,9,10]
[1,5,4,2,8,3,6,7,9,10]=>[1,4,5,8,3,2,6,7,9,10]
[1,3,7,5,6,2,4,8,9,10]=>[1,6,3,2,7,5,4,8,9,10]
[1,6,5,4,7,2,3,8,9,10]=>[1,7,2,5,6,4,3,8,9,10]
[1,2,4,7,3,10,5,6,8,9]=>[1,2,7,4,10,5,3,6,8,9]
[1,5,4,2,3,10,6,7,8,9]=>[1,4,2,5,3,10,6,7,8,9]
[1,2,9,3,4,8,5,6,7,10]=>[1,2,9,3,8,5,6,4,7,10]
[1,6,5,4,2,9,3,7,8,10]=>[1,4,5,6,9,2,3,7,8,10]
[1,3,7,8,5,6,2,4,9,10]=>[1,6,3,2,8,5,7,4,9,10]
[1,7,6,5,4,8,2,3,9,10]=>[1,8,2,5,6,7,4,3,9,10]
[1,3,2,10,6,4,9,5,7,8]=>[1,3,2,6,10,9,4,7,5,8]
[1,2,4,9,5,8,10,3,6,7]=>[1,2,10,4,9,3,6,5,8,7]
[1,3,7,2,8,9,10,4,5,6]=>[1,7,3,10,4,5,2,8,9,6]
[1,7,6,5,4,2,10,3,8,9]=>[1,4,5,6,7,10,3,2,8,9]
[1,3,9,4,8,6,7,2,5,10]=>[1,7,3,9,2,8,6,4,5,10]
[1,3,8,7,9,5,6,2,4,10]=>[1,6,3,2,9,5,8,7,4,10]
[1,8,7,6,5,4,9,2,3,10]=>[1,9,2,5,6,7,8,4,3,10]
[1,3,5,10,8,9,6,7,2,4]=>[1,7,3,2,5,9,6,10,8,4]
[1,3,9,8,7,10,5,6,2,4]=>[1,6,3,2,10,5,8,9,7,4]
[1,9,8,7,6,5,4,10,2,3]=>[1,10,2,5,6,7,8,9,4,3]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]
[11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,10]
[10,1,2,3,4,5,6,7,8,11,9]=>[10,1,2,3,4,5,6,7,11,8,9]
[11,1,2,3,4,5,6,7,10,8,9]=>[11,1,2,3,4,5,6,10,8,7,9]
[11,1,2,3,4,5,6,10,7,8,9]=>[11,1,2,3,4,5,10,7,8,6,9]
[10,1,2,3,4,5,11,6,7,8,9]=>[10,1,2,3,4,11,6,7,8,5,9]
[11,1,2,3,4,10,5,6,7,8,9]=>[11,1,2,3,10,5,6,7,8,4,9]
[11,1,2,3,10,4,5,6,7,8,9]=>[11,1,2,10,4,5,6,7,8,3,9]
[10,1,2,11,3,4,5,6,7,8,9]=>[10,1,11,3,4,5,6,7,8,2,9]
[11,1,10,2,3,4,5,6,7,8,9]=>[11,10,2,3,4,5,6,7,8,1,9]
[11,10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,11,9]
[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,2]
[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]
[2,3,4,5,6,7,8,9,11,1,10]=>[11,2,3,4,5,6,7,8,9,1,10]
[3,1,4,5,6,7,8,9,10,11,2]=>[3,11,1,4,5,6,7,8,9,10,2]
[11,3,4,5,6,7,8,9,1,2,10]=>[9,1,11,3,4,5,6,7,8,2,10]
[11,1,4,5,6,7,8,9,10,2,3]=>[11,10,2,1,4,5,6,7,8,9,3]
[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]
[10,9,8,7,6,5,4,3,1,11,2]=>[3,4,5,6,7,8,9,10,11,2,1]
[9,11,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,11,9,1,10]
[1,9,8,7,6,5,4,3,11,10,2]=>[1,10,4,5,6,7,8,9,3,11,2]
[1,11,8,7,6,5,4,3,2,10,9]=>[1,3,4,5,6,7,8,11,10,2,9]
[10,11,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,11,10,1]
[11,10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,11,2]
[2,3,4,5,6,7,8,9,10,1,11]=>[10,2,3,4,5,6,7,8,9,1,11]
[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,3,4,5,6,7,8,9,10,2]
[2,11,1,3,4,5,6,7,8,9,10]=>[11,2,1,3,4,5,6,7,8,9,10]
[11,3,1,2,4,5,6,7,8,9,10]=>[3,1,11,2,4,5,6,7,8,9,10]
[11,4,1,2,3,5,6,7,8,9,10]=>[4,1,2,11,3,5,6,7,8,9,10]
[5,11,1,2,3,4,6,7,8,9,10]=>[11,1,2,3,5,4,6,7,8,9,10]
[11,6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,11,5,7,8,9,10]
[11,7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,11,6,8,9,10]
[8,11,1,2,3,4,5,6,7,9,10]=>[11,1,2,3,4,5,6,8,7,9,10]
[11,9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,11,8,10]
[11,9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,11,1,10]
[10,9,8,7,6,5,4,3,2,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]
[9,8,10,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,10,9,8,1,11]
[9,8,7,10,6,5,4,3,2,1,11]=>[2,3,4,5,6,10,8,9,7,1,11]
[9,8,7,6,11,5,4,3,2,1,10]=>[2,3,4,5,11,7,8,9,6,1,10]
[9,8,7,6,5,10,4,3,2,1,11]=>[2,3,4,10,6,7,8,9,5,1,11]
[9,8,7,6,5,4,10,3,2,1,11]=>[2,3,10,5,6,7,8,9,4,1,11]
[9,8,7,6,5,4,3,11,2,1,10]=>[2,11,4,5,6,7,8,9,3,1,10]
[9,8,7,6,5,4,3,2,10,1,11]=>[10,3,4,5,6,7,8,9,2,1,11]
[9,8,7,6,5,4,3,2,1,10,11]=>[2,3,4,5,6,7,8,9,1,10,11]
[2,3,4,5,6,7,8,10,11,9,1]=>[9,2,3,4,5,6,7,8,11,10,1]
[2,3,4,5,6,7,9,10,11,8,1]=>[8,2,3,4,5,6,7,11,9,10,1]
[2,3,4,5,6,8,9,10,11,1,7]=>[11,2,3,4,5,6,1,8,9,10,7]
[2,3,4,5,7,8,9,10,11,6,1]=>[6,2,3,4,5,11,7,8,9,10,1]
[2,3,4,6,7,8,9,10,11,5,1]=>[5,2,3,4,11,6,7,8,9,10,1]
[2,3,5,6,7,8,9,10,11,1,4]=>[11,2,3,1,5,6,7,8,9,10,4]
[2,4,5,6,7,8,9,10,11,3,1]=>[3,2,11,4,5,6,7,8,9,10,1]
[3,4,5,6,7,8,9,10,11,2,1]=>[2,11,3,4,5,6,7,8,9,10,1]
[10,1,11,9,8,7,6,5,4,3,2]=>[10,3,4,5,6,7,8,9,11,1,2]
[2,11,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,11,3]
[10,2,1,9,8,7,6,5,4,3,11]=>[2,10,4,5,6,7,8,9,1,3,11]
[3,2,10,9,8,7,6,5,4,1,11]=>[4,3,2,5,6,7,8,9,10,1,11]
[9,10,2,3,4,5,6,7,8,11,1]=>[11,10,2,3,4,5,6,7,9,8,1]
[2,10,11,3,4,5,6,7,8,9,1]=>[9,2,11,3,4,5,6,7,8,10,1]
[2,11,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,11,1]
[11,1,10,9,8,7,6,5,4,3,2]=>[11,3,4,5,6,7,8,9,10,1,2]
[1,11,10,9,8,7,6,5,2,4,3]=>[1,5,4,2,6,7,8,9,10,11,3]
[1,11,10,9,8,7,6,2,5,4,3]=>[1,6,4,5,2,7,8,9,10,11,3]
[2,11,10,9,8,7,1,6,5,4,3]=>[7,2,4,5,6,1,8,9,10,11,3]
[1,11,10,9,8,2,7,6,5,4,3]=>[1,8,4,5,6,7,2,9,10,11,3]
[1,11,10,9,2,8,7,6,5,4,3]=>[1,9,4,5,6,7,8,2,10,11,3]
[2,11,10,1,9,8,7,6,5,4,3]=>[10,2,4,5,6,7,8,9,1,11,3]
[1,11,2,10,9,8,7,6,5,4,3]=>[1,11,4,5,6,7,8,9,10,2,3]
[1,2,11,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,11,3]
[6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,6,7,8,9,5,11]
[1,7,8,9,10,11,2,3,4,5,6]=>[1,11,2,3,4,5,7,8,9,10,6]
[2,4,1,5,6,7,8,9,10,11,3]=>[4,2,11,1,5,6,7,8,9,10,3]
[2,3,4,5,6,7,8,10,1,11,9]=>[10,2,3,4,5,6,7,8,11,1,9]
[2,3,5,1,6,7,8,9,10,11,4]=>[5,2,3,11,1,6,7,8,9,10,4]
[2,3,4,5,6,7,9,1,10,11,8]=>[9,2,3,4,5,6,7,11,1,10,8]
[2,3,4,6,1,7,8,9,10,11,5]=>[6,2,3,4,11,1,7,8,9,10,5]
[2,3,4,5,6,8,1,9,10,11,7]=>[8,2,3,4,5,6,11,1,9,10,7]
[2,3,4,5,7,1,8,9,10,11,6]=>[7,2,3,4,5,11,1,8,9,10,6]
[10,2,1,3,4,5,6,7,8,9,11]=>[2,10,1,3,4,5,6,7,8,9,11]
[3,2,4,5,6,7,8,9,10,1,11]=>[10,3,2,4,5,6,7,8,9,1,11]
[10,2,3,4,5,6,7,8,9,1,11]=>[9,10,2,3,4,5,6,7,8,1,11]
[1,11,3,4,5,6,7,8,9,10,2]=>[1,10,11,3,4,5,6,7,8,9,2]
[1,2,3,4,6,8,5,7,10,9,11]=>[1,2,3,4,8,6,5,7,10,9,11]
[1,2,3,4,7,5,8,6,10,9,11]=>[1,2,3,4,7,8,5,6,10,9,11]
[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]
[2,1,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,3]
[9,10,1,2,3,4,5,6,7,11,8]=>[10,1,2,3,4,5,6,11,9,7,8]
[2,10,11,1,3,4,5,6,7,8,9]=>[11,2,1,3,4,5,6,7,8,10,9]
[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]
[2,4,1,3,6,5,8,7,10,9,11]=>[4,2,1,3,6,5,8,7,10,9,11]
[11,3,4,5,6,7,8,9,10,1,2]=>[10,1,11,3,4,5,6,7,8,9,2]
[10,3,4,5,6,7,8,9,1,11,2]=>[9,11,10,3,4,5,6,7,8,1,2]
[9,3,4,5,6,7,8,1,10,11,2]=>[8,11,9,3,4,5,6,7,1,10,2]
[8,3,4,5,6,7,1,9,10,11,2]=>[7,11,8,3,4,5,6,1,9,10,2]
[7,3,4,5,6,1,8,9,10,11,2]=>[6,11,7,3,4,5,1,8,9,10,2]
[6,3,4,5,1,7,8,9,10,11,2]=>[5,11,6,3,4,1,7,8,9,10,2]
[5,3,4,1,6,7,8,9,10,11,2]=>[4,11,5,3,1,6,7,8,9,10,2]
[4,3,1,5,6,7,8,9,10,11,2]=>[3,4,11,2,5,6,7,8,9,10,1]
[2,11,4,5,6,7,8,9,10,1,3]=>[10,2,1,11,4,5,6,7,8,9,3]
[10,9,4,5,6,7,8,1,2,11,3]=>[8,1,11,9,4,5,6,7,10,2,3]
[2,11,10,5,6,7,8,9,1,3,4]=>[9,2,1,3,10,5,6,7,8,11,4]
[11,2,3,4,5,6,7,8,9,10,1]=>[10,11,2,3,4,5,6,7,8,9,1]
[1,9,11,10,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,10,9,11,2]
[1,8,11,10,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,10,11,2]
[7,1,11,10,9,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,9,10,11,2]
[1,6,11,10,9,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,9,10,11,2]
[1,5,11,10,9,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,9,10,11,2]
[4,1,11,10,9,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,9,10,11,2]
[1,3,11,10,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,10,11,2]
[10,9,1,2,3,4,5,6,7,11,8]=>[9,1,2,3,4,5,6,10,11,8,7]
[2,11,10,1,3,4,5,6,7,8,9]=>[10,2,1,3,4,5,6,7,8,11,9]
[2,4,1,6,3,5,8,7,10,9,11]=>[4,2,6,1,3,5,8,7,10,9,11]
[10,1,2,3,4,5,6,7,11,8,9]=>[10,1,2,3,4,5,6,11,8,7,9]
[1,11,2,3,4,5,6,7,8,10,9]=>[1,11,2,3,4,5,6,7,10,8,9]
[1,2,11,3,4,5,6,7,8,10,9]=>[1,2,11,3,4,5,6,7,10,8,9]
[1,2,3,10,4,5,6,7,11,8,9]=>[1,2,3,10,4,5,6,11,8,7,9]
[1,2,3,4,11,5,6,7,8,10,9]=>[1,2,3,4,11,5,6,7,10,8,9]
[1,2,3,4,5,11,6,7,8,10,9]=>[1,2,3,4,5,11,6,7,10,8,9]
[1,2,3,4,5,6,10,7,11,8,9]=>[1,2,3,4,5,6,10,11,8,7,9]
[1,2,3,4,5,6,7,11,8,10,9]=>[1,2,3,4,5,6,7,11,10,8,9]
[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]
[9,10,8,7,6,5,4,3,2,11,1]=>[11,3,4,5,6,7,8,10,9,2,1]
[2,10,11,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,11,10,1]
[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]
[11,1,3,4,5,6,7,8,9,10,2]=>[11,10,1,3,4,5,6,7,8,9,2]
[10,2,3,4,5,6,7,8,11,1,9]=>[11,10,2,3,4,5,6,7,1,8,9]
[10,11,3,4,5,6,7,8,9,1,2]=>[9,1,11,3,4,5,6,7,8,10,2]
[7,1,2,3,4,5,11,6,8,9,10]=>[7,1,2,3,4,11,5,6,8,9,10]
[11,1,2,3,4,5,8,6,7,9,10]=>[11,1,2,3,4,8,6,5,7,9,10]
[11,1,2,3,4,5,9,6,7,8,10]=>[11,1,2,3,4,9,6,7,5,8,10]
[11,10,5,1,2,3,4,6,7,8,9]=>[5,1,2,3,10,4,6,7,8,11,9]
[11,10,1,5,2,3,4,6,7,8,9]=>[10,5,2,3,1,4,6,7,8,11,9]
[5,11,1,2,10,3,4,6,7,8,9]=>[11,1,10,3,5,4,6,7,8,2,9]
[5,11,1,2,3,10,4,6,7,8,9]=>[11,1,2,10,5,4,6,7,8,3,9]
[2,3,4,5,6,7,8,10,11,1,9]=>[11,2,3,4,5,6,7,8,1,10,9]
[2,3,4,5,6,7,9,10,11,1,8]=>[11,2,3,4,5,6,7,1,9,10,8]
[2,3,4,5,7,8,9,10,11,1,6]=>[11,2,3,4,5,1,7,8,9,10,6]
[2,3,4,6,7,8,9,10,11,1,5]=>[11,2,3,4,1,6,7,8,9,10,5]
[2,4,5,6,7,8,9,10,11,1,3]=>[11,2,1,4,5,6,7,8,9,10,3]
[3,4,5,6,7,8,9,10,11,1,2]=>[11,1,3,4,5,6,7,8,9,10,2]
[10,9,8,7,5,6,4,3,2,11,1]=>[11,3,4,6,7,5,8,9,10,2,1]
[2,11,10,9,8,6,7,5,4,3,1]=>[3,2,4,5,7,8,6,9,10,11,1]
[9,8,7,6,5,4,3,1,11,2,10]=>[3,4,5,6,7,8,9,11,1,2,10]
[10,9,8,7,6,5,4,1,2,11,3]=>[4,1,5,6,7,8,9,10,11,2,3]
[9,6,10,4,7,2,5,11,1,3,8]=>[11,7,1,10,2,9,4,3,6,5,8]
[8,6,9,4,7,2,5,1,3,10,11]=>[5,7,1,9,2,8,4,6,3,10,11]
[9,6,3,10,11,2,7,8,1,4,5]=>[8,11,6,1,4,9,2,7,3,10,5]
[8,5,3,9,2,6,10,1,4,7,11]=>[10,9,5,1,8,2,4,3,6,7,11]
[7,5,3,8,2,6,1,4,9,10,11]=>[6,8,5,1,7,2,3,4,9,10,11]
[8,4,3,2,9,10,11,1,5,6,7]=>[11,3,4,8,1,5,6,2,9,10,7]
[7,4,3,2,8,9,1,5,6,10,11]=>[9,3,4,7,1,5,2,8,6,10,11]
[9,10,6,7,11,3,4,8,1,2,5]=>[8,1,11,3,2,10,6,4,9,7,5]
[8,9,5,6,3,4,10,1,2,7,11]=>[10,1,6,3,9,5,2,8,4,7,11]
[7,8,5,6,3,4,1,2,9,10,11]=>[4,1,6,3,8,5,7,2,9,10,11]
[8,5,9,10,2,6,7,1,3,4,11]=>[7,10,1,3,8,2,6,5,9,4,11]
[8,4,9,2,5,10,11,1,3,6,7]=>[11,9,1,8,2,3,6,4,5,10,7]
[7,4,8,2,5,9,1,3,6,10,11]=>[9,8,1,7,2,3,4,5,6,10,11]
[7,3,2,8,9,10,1,4,5,6,11]=>[10,3,7,1,4,5,2,8,9,6,11]
[8,9,10,4,5,6,11,1,2,3,7]=>[11,1,2,10,4,5,3,8,9,6,7]
[7,8,9,4,5,6,1,2,3,10,11]=>[6,1,2,9,4,5,7,8,3,10,11]
[7,8,3,4,9,10,1,2,5,6,11]=>[10,1,8,3,2,5,7,4,9,6,11]
[11,9,1,2,3,4,5,6,10,7,8]=>[9,1,2,3,4,5,11,6,10,7,8]
[11,10,1,2,3,4,5,9,6,7,8]=>[10,1,2,3,4,9,6,7,5,11,8]
[11,10,1,2,3,4,9,5,6,7,8]=>[10,1,2,3,9,5,6,7,4,11,8]
[9,10,1,2,3,11,4,5,6,7,8]=>[10,1,2,11,4,5,6,7,9,3,8]
[9,11,1,2,10,3,4,5,6,7,8]=>[11,1,10,3,4,5,6,7,9,2,8]
[10,11,1,9,2,3,4,5,6,7,8]=>[11,9,2,3,4,5,6,7,1,10,8]
[10,11,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,11,10,8]
[2,11,1,5,6,7,8,9,10,3,4]=>[11,2,10,3,1,5,6,7,8,9,4]
[1,11,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,11,9]
[1,10,2,3,4,5,6,7,8,9,11]=>[1,10,2,3,4,5,6,7,8,9,11]
[1,3,4,5,6,7,8,9,10,2,11]=>[1,10,3,4,5,6,7,8,9,2,11]
[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[11,1,2,3,4,5,6,7,8,10,9]=>[11,1,2,3,4,5,6,7,10,8,9]
[10,1,2,3,4,5,6,7,11,9,8]=>[10,1,2,3,4,5,6,9,11,7,8]
[10,1,2,3,4,5,6,11,8,9,7]=>[10,1,2,3,4,5,9,11,8,6,7]
[11,1,2,3,4,5,10,7,8,9,6]=>[11,1,2,3,4,9,10,7,8,5,6]
[10,1,2,3,4,11,6,7,8,9,5]=>[10,1,2,3,9,11,6,7,8,4,5]
[10,1,2,3,11,5,6,7,8,9,4]=>[10,1,2,9,11,5,6,7,8,3,4]
[11,1,2,10,4,5,6,7,8,9,3]=>[11,1,9,10,4,5,6,7,8,2,3]
[10,1,11,3,4,5,6,7,8,9,2]=>[10,9,11,3,4,5,6,7,8,1,2]
[10,11,2,3,4,5,6,7,8,9,1]=>[9,11,2,3,4,5,6,7,8,10,1]
[11,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,11,9,5]
[10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,10,5]
[11,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,11,9,4]
[9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,9,10,4]
[11,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,11,8,9,4]
[10,11,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,11,7,8,10,3]
[10,11,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,11,8,10,4]
[11,9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,11,9,3]
[11,10,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,10,8,11,4]
[10,1,11,2,3,4,5,6,7,8,9]=>[10,11,2,3,4,5,6,7,8,1,9]
[10,11,1,2,3,4,5,6,7,8,9]=>[11,1,2,3,4,5,6,7,8,10,9]
[3,1,4,2,6,5,8,7,10,9,11]=>[3,4,1,2,6,5,8,7,10,9,11]
[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]
[2,1,3,4,5,6,7,8,9,11,10]=>[2,1,3,4,5,6,7,8,9,11,10]
[11,2,3,4,5,6,7,8,9,1,10]=>[9,11,2,3,4,5,6,7,8,1,10]
[3,11,1,4,5,6,7,8,9,10,2]=>[11,10,3,1,4,5,6,7,8,9,2]
[9,1,11,3,4,5,6,7,8,2,10]=>[9,8,11,3,4,5,6,7,1,2,10]
[11,10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,11,9]
[2,3,4,5,6,7,8,9,11,10,1]=>[10,2,3,4,5,6,7,8,9,11,1]
[2,3,4,5,6,8,9,10,11,7,1]=>[7,2,3,4,5,6,11,8,9,10,1]
[2,3,5,6,7,8,9,10,11,4,1]=>[4,2,3,11,5,6,7,8,9,10,1]
[1,3,2,4,5,6,7,8,9,10,11]=>[1,3,2,4,5,6,7,8,9,10,11]
[3,1,11,5,6,7,8,9,10,2,4]=>[3,10,1,2,11,5,6,7,8,9,4]
[2,3,4,5,6,7,8,11,9,10,1]=>[10,2,3,4,5,6,7,8,11,9,1]
[2,3,4,5,6,7,11,8,9,10,1]=>[10,2,3,4,5,6,7,11,8,9,1]
[2,3,4,5,6,11,7,8,9,10,1]=>[10,2,3,4,5,6,11,7,8,9,1]
[2,3,4,5,11,6,7,8,9,10,1]=>[10,2,3,4,5,11,6,7,8,9,1]
[2,3,4,11,5,6,7,8,9,10,1]=>[10,2,3,4,11,5,6,7,8,9,1]
[2,3,11,4,5,6,7,8,9,10,1]=>[10,2,3,11,4,5,6,7,8,9,1]
[2,11,3,4,5,6,7,8,9,10,1]=>[10,2,11,3,4,5,6,7,8,9,1]
[1,2,3,10,4,5,6,7,8,11,9]=>[1,2,3,10,4,5,6,7,11,8,9]
[1,2,3,4,5,6,10,7,8,11,9]=>[1,2,3,4,5,6,10,7,11,8,9]
[2,3,1,4,5,6,7,8,9,10,11]=>[3,2,1,4,5,6,7,8,9,10,11]
[3,1,2,4,5,6,7,8,9,10,11]=>[3,1,2,4,5,6,7,8,9,10,11]
[3,4,5,6,7,8,9,10,1,2,11]=>[10,1,3,4,5,6,7,8,9,2,11]
[3,4,5,6,7,8,9,11,1,2,10]=>[11,1,3,4,5,6,7,8,9,2,10]
[3,4,5,6,7,8,10,11,1,2,9]=>[11,1,3,4,5,6,7,8,2,10,9]
[3,4,5,6,7,9,10,11,1,2,8]=>[11,1,3,4,5,6,7,2,9,10,8]
[3,4,5,6,8,9,10,11,1,2,7]=>[11,1,3,4,5,6,2,8,9,10,7]
[3,4,5,7,8,9,10,11,1,2,6]=>[11,1,3,4,5,2,7,8,9,10,6]
[3,4,6,7,8,9,10,11,1,2,5]=>[11,1,3,4,2,6,7,8,9,10,5]
[3,5,6,7,8,9,10,11,1,2,4]=>[11,1,3,2,5,6,7,8,9,10,4]
[4,5,6,7,8,9,10,11,1,2,3]=>[11,1,2,4,5,6,7,8,9,10,3]
[11,1,10,5,6,7,8,9,2,3,4]=>[11,9,2,3,10,5,6,7,8,1,4]
[10,1,11,9,6,7,8,2,3,4,5]=>[10,8,2,3,4,9,6,7,11,1,5]
[9,1,10,11,8,7,2,3,4,5,6]=>[9,7,2,3,4,5,8,11,1,10,6]
[8,1,9,10,11,2,3,4,5,6,7]=>[8,11,2,3,4,5,6,1,9,10,7]
[11,1,10,9,2,3,4,5,6,7,8]=>[11,9,2,3,4,5,6,7,10,1,8]
[11,2,3,4,5,6,7,8,10,9,1]=>[9,10,1,3,4,5,6,7,11,8,2]
[11,2,3,4,5,6,7,10,9,8,1]=>[8,9,2,3,4,5,6,10,11,7,1]
[11,2,3,4,5,6,10,8,9,7,1]=>[7,9,1,3,4,5,11,10,8,6,2]
[11,2,3,4,5,10,7,8,9,6,1]=>[6,9,1,3,4,11,10,7,8,5,2]
[11,2,3,4,10,6,7,8,9,5,1]=>[5,9,1,3,11,10,6,7,8,4,2]
[11,2,3,10,5,6,7,8,9,4,1]=>[4,9,1,11,10,5,6,7,8,3,2]
[11,2,10,4,5,6,7,8,9,3,1]=>[3,9,11,10,4,5,6,7,8,1,2]
[11,10,3,4,5,6,7,8,9,2,1]=>[2,9,10,3,4,5,6,7,8,11,1]
[9,8,7,6,5,4,3,2,1,11,10]=>[2,3,4,5,6,7,8,9,1,11,10]
[2,3,4,5,6,7,10,9,11,8,1]=>[8,2,3,4,5,6,7,11,10,9,1]
[2,3,4,5,6,10,8,9,11,7,1]=>[7,2,3,4,5,6,11,10,8,9,1]
[2,3,4,5,10,7,8,9,11,1,6]=>[11,2,3,4,5,1,10,7,8,9,6]
[2,3,4,10,6,7,8,9,11,5,1]=>[5,2,3,4,11,10,6,7,8,9,1]
[2,3,10,5,6,7,8,9,11,4,1]=>[4,2,3,11,10,5,6,7,8,9,1]
[2,10,4,5,6,7,8,9,11,1,3]=>[11,2,1,10,4,5,6,7,8,9,3]
[10,3,4,5,6,7,8,9,11,2,1]=>[2,11,10,3,4,5,6,7,8,9,1]
[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]
[1,3,5,2,4,7,6,9,8,11,10]=>[1,5,3,2,4,7,6,9,8,11,10]
[1,3,5,2,7,4,6,9,8,11,10]=>[1,5,3,7,2,4,6,9,8,11,10]
[1,3,5,2,7,4,9,6,8,11,10]=>[1,5,3,7,2,9,4,6,8,11,10]
[1,3,5,2,7,4,9,6,11,8,10]=>[1,5,3,7,2,9,4,11,6,8,10]
[1,3,5,2,7,4,9,6,10,8,11]=>[1,5,3,7,2,9,4,10,6,8,11]
[1,3,5,2,7,4,8,6,10,9,11]=>[1,5,3,7,2,8,4,6,10,9,11]
[1,3,5,2,6,4,8,7,10,9,11]=>[1,5,3,6,2,4,8,7,10,9,11]
[1,3,4,2,6,5,8,7,10,9,11]=>[1,4,3,2,6,5,8,7,10,9,11]
[1,2,4,3,6,5,8,7,10,9,11]=>[1,2,4,3,6,5,8,7,10,9,11]
[10,9,11,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,11,10,9,1]
[3,4,5,6,7,8,9,10,1,11,2]=>[10,11,3,4,5,6,7,8,9,1,2]
[4,2,5,6,7,8,9,10,11,1,3]=>[11,4,1,2,5,6,7,8,9,10,3]
[1,5,6,7,8,9,10,11,3,4,2]=>[1,4,11,3,5,6,7,8,9,10,2]
[1,3,6,7,8,9,10,11,2,5,4]=>[1,11,3,5,2,6,7,8,9,10,4]
[6,5,7,4,8,3,9,2,10,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]
[1,7,6,8,5,9,4,10,3,11,2]=>[1,11,10,9,8,7,6,5,4,3,2]
[3,1,11,10,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,10,11,2]
[11,3,10,9,8,7,6,5,1,4,2]=>[5,4,6,3,7,8,9,10,11,1,2]
[1,10,2,9,3,8,4,7,5,6,11]=>[1,10,9,8,7,5,4,3,2,6,11]
[1,2,11,3,10,4,9,5,8,6,7]=>[1,2,11,10,9,8,6,5,4,3,7]
[10,3,4,5,6,7,8,1,2,11,9]=>[8,1,10,3,4,5,6,7,11,2,9]
[2,3,4,5,6,7,8,11,10,1,9]=>[10,2,3,4,5,6,7,8,1,11,9]
[11,3,4,5,6,7,8,10,1,2,9]=>[10,1,11,3,4,5,6,7,2,8,9]
[11,4,1,5,6,7,8,9,10,2,3]=>[4,11,1,10,2,5,6,7,8,9,3]
[2,11,4,5,6,7,8,10,1,3,9]=>[10,2,1,11,4,5,6,7,3,8,9]
[11,3,4,5,6,7,8,1,10,2,9]=>[8,10,11,3,4,5,6,7,2,1,9]
[11,3,1,5,6,7,8,9,10,2,4]=>[3,11,10,1,2,5,6,7,8,9,4]
[10,4,1,5,6,7,8,9,2,11,3]=>[4,10,9,11,2,5,6,7,8,3,1]
[3,2,4,5,6,7,8,9,10,11,1]=>[11,3,2,4,5,6,7,8,9,10,1]
[8,1,2,3,4,5,6,10,7,11,9]=>[8,1,2,3,4,5,10,6,11,7,9]
[6,1,2,3,4,8,5,10,7,11,9]=>[6,1,2,3,8,4,10,5,11,7,9]
[4,1,2,6,3,8,5,10,7,11,9]=>[4,1,6,2,8,3,10,5,11,7,9]
[2,4,1,6,3,8,5,10,7,11,9]=>[4,2,6,1,8,3,10,5,11,7,9]
[3,4,2,5,6,7,8,9,10,11,1]=>[11,4,3,2,5,6,7,8,9,10,1]
[3,4,5,2,6,7,8,9,10,11,1]=>[11,5,3,4,2,6,7,8,9,10,1]
[3,4,5,6,1,7,8,9,10,11,2]=>[6,11,3,4,5,1,7,8,9,10,2]
[3,4,5,6,7,2,8,9,10,11,1]=>[11,7,3,4,5,6,2,8,9,10,1]
[3,4,5,6,7,8,2,9,10,11,1]=>[11,8,3,4,5,6,7,2,9,10,1]
[3,4,5,6,7,8,9,1,10,11,2]=>[9,11,3,4,5,6,7,8,1,10,2]
[3,4,5,6,7,8,9,10,2,11,1]=>[11,10,3,4,5,6,7,8,9,2,1]
[3,4,5,6,7,8,1,9,2,11,10]=>[8,9,3,4,5,6,7,1,2,11,10]
[1,4,5,6,7,11,8,9,2,10,3]=>[1,9,10,4,5,6,7,11,8,2,3]
[3,11,1,2,4,5,6,7,8,9,10]=>[11,1,3,2,4,5,6,7,8,9,10]
[8,9,10,7,6,1,2,3,4,11,5]=>[6,1,2,3,7,10,11,8,9,4,5]
[2,9,10,11,8,7,1,3,4,5,6]=>[7,2,1,3,4,5,8,11,9,10,6]
[7,8,9,10,1,2,3,4,5,11,6]=>[10,1,2,3,4,11,7,8,9,5,6]
[2,8,9,10,11,1,3,4,5,6,7]=>[11,2,1,3,4,5,6,8,9,10,7]
[2,3,4,5,6,7,8,11,1,9,10]=>[11,2,3,4,5,6,7,8,1,9,10]
[2,3,4,5,6,7,11,1,8,9,10]=>[11,2,3,4,5,6,7,1,8,9,10]
[2,3,4,5,6,11,1,7,8,9,10]=>[11,2,3,4,5,6,1,7,8,9,10]
[2,3,4,5,11,1,6,7,8,9,10]=>[11,2,3,4,5,1,6,7,8,9,10]
[2,3,4,11,1,5,6,7,8,9,10]=>[11,2,3,4,1,5,6,7,8,9,10]
[2,3,11,1,4,5,6,7,8,9,10]=>[11,2,3,1,4,5,6,7,8,9,10]
[9,3,4,5,6,7,8,1,11,2,10]=>[8,11,9,3,4,5,6,7,1,2,10]
[11,9,4,5,6,7,8,1,10,2,3]=>[8,10,2,9,4,5,6,7,11,1,3]
[3,1,4,5,6,7,8,9,11,2,10]=>[3,11,1,4,5,6,7,8,9,2,10]
[2,3,4,5,6,9,7,10,8,11,1]=>[11,2,3,4,5,6,9,10,7,8,1]
[3,4,5,6,7,10,8,11,2,9,1]=>[9,11,3,4,5,6,7,10,2,8,1]
[2,11,1,3,4,5,6,7,10,8,9]=>[11,2,1,3,4,5,6,10,8,7,9]
[2,10,1,3,4,5,6,7,8,11,9]=>[10,2,1,3,4,5,6,7,11,8,9]
[11,2,1,3,4,5,6,7,8,9,10]=>[2,11,1,3,4,5,6,7,8,9,10]
[11,10,2,3,4,5,6,7,8,9,1]=>[9,10,2,3,4,5,6,7,8,11,1]
[11,3,4,5,6,7,8,9,10,2,1]=>[2,10,11,3,4,5,6,7,8,9,1]
[9,11,1,2,3,4,5,6,7,8,10]=>[11,1,2,3,4,5,6,7,9,8,10]
[11,10,9,8,6,7,5,4,3,2,1]=>[2,3,4,5,7,8,6,9,10,11,1]
[10,1,2,3,4,11,5,6,7,8,9]=>[10,1,2,3,11,5,6,7,8,4,9]
[1,10,11,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,11,10,2]
[1,11,9,10,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,10,11,9,2]
[1,11,9,7,6,5,4,3,2,8,10]=>[1,3,4,5,6,7,9,2,11,8,10]
[1,10,8,6,5,4,3,2,7,11,9]=>[1,3,4,5,6,8,2,10,11,7,9]
[1,11,9,7,5,4,3,2,6,10,8]=>[1,3,4,5,7,2,9,11,10,8,6]
[1,11,9,7,5,10,8,6,4,3,2]=>[1,3,4,6,8,7,10,9,11,5,2]
[1,10,8,6,4,11,9,7,5,3,2]=>[1,3,5,7,6,9,8,11,10,2,4]
[1,11,9,7,5,3,10,8,6,4,2]=>[1,4,6,5,8,7,10,9,11,2,3]
[1,11,9,7,5,3,2,10,8,6,4]=>[1,3,5,7,6,9,8,11,10,4,2]
[4,1,2,5,6,7,8,9,10,11,3]=>[4,1,11,2,5,6,7,8,9,10,3]
[11,1,2,3,4,5,6,10,8,7,9]=>[11,1,2,3,4,5,8,10,7,6,9]
[11,1,2,3,4,5,10,7,8,6,9]=>[11,1,2,3,4,8,10,7,6,5,9]
[10,1,2,3,4,11,6,7,8,5,9]=>[10,1,2,3,8,11,6,7,5,4,9]
[11,1,2,3,10,5,6,7,8,4,9]=>[11,1,2,8,10,5,6,7,4,3,9]
[11,1,2,10,4,5,6,7,8,3,9]=>[11,1,8,10,4,5,6,7,3,2,9]
[10,1,11,3,4,5,6,7,8,2,9]=>[10,8,11,3,4,5,6,7,2,1,9]
[11,10,2,3,4,5,6,7,8,1,9]=>[8,10,2,3,4,5,6,7,1,11,9]
[10,11,4,5,6,7,8,1,2,3,9]=>[8,1,2,11,4,5,6,7,3,10,9]
[10,11,1,5,6,7,8,9,2,3,4]=>[11,9,2,3,1,5,6,7,8,10,4]
[11,10,2,1,4,5,6,7,8,9,3]=>[2,10,9,1,4,5,6,7,8,11,3]
[11,1,9,2,7,3,8,4,10,5,6]=>[11,9,7,8,10,5,2,3,1,4,6]
[11,1,10,2,6,3,8,9,4,5,7]=>[11,10,6,9,4,2,5,3,8,1,7]
[9,1,5,2,11,8,3,4,10,6,7]=>[9,5,8,3,1,11,4,10,2,6,7]
[11,1,10,2,6,7,3,9,4,5,8]=>[11,10,7,9,4,2,6,5,3,1,8]
[10,1,5,2,11,7,9,3,4,6,8]=>[10,5,9,3,1,4,11,6,7,2,8]
[11,1,4,9,2,3,8,5,10,6,7]=>[11,9,2,1,8,10,6,3,4,5,7]
[7,1,4,11,2,3,10,9,5,6,8]=>[7,11,2,1,9,5,4,6,10,3,8]
[9,1,6,5,2,11,3,4,10,7,8]=>[9,5,6,2,11,1,10,7,3,4,8]
[11,1,4,9,6,2,3,5,10,7,8]=>[11,6,2,1,3,9,10,7,4,5,8]
[8,1,11,6,2,7,3,10,4,5,9]=>[8,6,11,7,2,10,3,1,5,4,9]
[11,1,10,5,2,7,8,3,4,6,9]=>[11,5,10,2,8,4,3,7,6,1,9]
[8,1,4,11,7,2,3,10,5,6,9]=>[8,7,2,1,11,3,10,4,6,5,9]
[11,1,10,5,6,2,8,3,4,7,9]=>[11,6,8,3,10,5,4,2,7,1,9]
[11,1,4,10,6,8,2,3,5,7,9]=>[11,8,2,1,3,10,5,6,7,4,9]
[9,3,1,2,11,4,8,5,10,6,7]=>[3,1,9,11,8,10,6,4,2,5,7]
[11,3,1,2,7,4,10,9,5,6,8]=>[3,1,11,7,9,5,2,6,10,4,8]
[9,3,1,2,6,11,4,5,10,7,8]=>[3,1,9,11,4,2,10,7,6,5,8]
[11,3,1,2,8,7,4,10,5,6,9]=>[3,1,11,7,8,4,10,2,6,5,9]
[10,3,1,2,6,11,8,4,5,7,9]=>[3,1,10,8,4,2,5,11,7,6,9]
[11,4,1,5,2,3,9,6,10,7,8]=>[4,11,1,5,2,9,10,7,3,6,8]
[11,4,1,5,2,3,8,10,6,7,9]=>[4,11,1,5,2,10,6,3,7,8,9]
[11,3,5,1,2,4,9,6,10,7,8]=>[5,1,11,2,3,9,10,7,4,6,8]
[11,3,5,1,2,4,8,10,6,7,9]=>[5,1,11,2,3,10,6,4,7,8,9]
[6,11,1,5,2,7,3,4,10,8,9]=>[11,5,7,3,1,6,2,10,8,4,9]
[11,4,1,7,6,2,3,5,10,8,9]=>[4,11,1,6,3,7,2,10,8,5,9]
[6,3,11,1,2,7,4,5,10,8,9]=>[11,1,6,7,4,3,2,10,8,5,9]
[11,5,4,1,7,2,3,6,10,8,9]=>[4,5,2,11,7,3,1,10,8,6,9]
[7,3,11,5,1,2,4,6,10,8,9]=>[5,1,11,3,7,4,2,10,8,6,9]
[11,8,1,6,2,7,3,9,4,5,10]=>[8,6,7,11,1,4,2,9,3,5,10]
[11,9,1,5,2,7,8,3,4,6,10]=>[9,5,8,3,1,4,2,7,11,6,10]
[8,4,1,11,7,2,3,9,5,6,10]=>[4,8,1,7,11,3,9,2,5,6,10]
[11,9,1,5,6,2,8,3,4,7,10]=>[9,6,8,3,1,5,4,2,11,7,10]
[9,4,1,11,6,8,2,3,5,7,10]=>[4,9,1,8,3,11,5,6,2,7,10]
[11,3,8,1,2,7,4,9,5,6,10]=>[8,1,11,7,9,5,2,3,4,6,10]
[6,3,11,1,2,9,8,4,5,7,10]=>[11,1,6,8,4,3,5,9,2,7,10]
[8,5,4,1,11,2,3,9,6,7,10]=>[4,5,2,8,11,9,6,1,3,7,10]
[11,3,8,5,1,2,4,9,6,7,10]=>[5,1,8,3,11,9,6,2,4,7,10]
[7,11,5,1,6,2,9,3,4,8,10]=>[5,11,6,1,9,2,7,4,3,8,10]
[11,9,4,1,6,7,2,3,5,8,10]=>[4,9,1,7,3,2,6,5,11,8,10]
[7,3,11,6,1,2,9,4,5,8,10]=>[6,1,11,7,2,9,4,5,3,8,10]
[11,9,4,5,1,7,2,3,6,8,10]=>[5,7,2,9,4,3,1,6,11,8,10]
[11,3,9,5,7,1,2,4,6,8,10]=>[7,1,11,2,9,4,5,6,3,8,10]
[10,11,8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,11,7,10,9]
[6,7,5,4,3,2,1,8,9,10,11]=>[2,3,4,5,7,6,1,8,9,10,11]
[7,6,5,4,3,1,2,8,9,10,11]=>[3,1,4,5,6,7,2,8,9,10,11]
[9,11,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,11,1]
[4,3,1,6,2,8,5,10,7,11,9]=>[3,4,6,2,8,1,10,5,11,7,9]
[6,3,1,5,2,8,4,10,7,11,9]=>[3,6,5,8,2,1,10,4,11,7,9]
[8,3,1,5,2,7,4,10,6,11,9]=>[3,8,5,7,2,10,1,4,11,6,9]
[10,3,1,5,2,7,4,9,6,11,8]=>[3,10,5,7,2,9,1,11,4,6,8]
[11,3,1,5,2,7,4,9,6,8,10]=>[3,11,5,7,2,9,1,6,4,8,10]
[9,3,1,5,2,7,4,6,11,8,10]=>[3,9,5,7,2,4,1,11,6,8,10]
[7,3,1,5,2,4,9,6,11,8,10]=>[3,7,5,1,2,9,4,11,6,8,10]
[5,3,1,2,7,4,9,6,11,8,10]=>[3,1,5,7,2,9,4,11,6,8,10]
[3,1,5,2,7,4,9,6,11,8,10]=>[3,5,1,7,2,9,4,11,6,8,10]
[2,1,11,3,4,5,6,7,8,9,10]=>[2,1,11,3,4,5,6,7,8,9,10]
[11,10,9,8,5,7,6,4,3,2,1]=>[2,3,4,6,7,8,1,9,10,11,5]
[11,10,9,8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,9,10,11,1]
[10,1,2,3,4,5,6,11,7,8,9]=>[10,1,2,3,4,5,11,7,8,6,9]
[10,1,2,3,11,4,5,6,7,8,9]=>[10,1,2,11,4,5,6,7,8,3,9]
[1,10,2,3,4,5,6,7,8,11,9]=>[1,10,2,3,4,5,6,7,11,8,9]
[2,1,11,3,4,5,6,7,8,10,9]=>[2,1,11,3,4,5,6,7,10,8,9]
[11,10,8,9,5,6,3,1,2,4,7]=>[3,1,6,2,9,5,4,10,8,11,7]
[11,9,10,6,7,4,2,3,5,8,1]=>[8,4,2,7,3,10,6,5,11,9,1]
[1,3,4,5,6,7,8,9,2,11,10]=>[1,9,3,4,5,6,7,8,2,11,10]
[1,3,4,5,6,7,8,2,10,11,9]=>[1,8,3,4,5,6,7,2,11,10,9]
[11,2,3,4,5,6,1,8,9,10,7]=>[6,11,2,3,4,5,10,1,8,9,7]
[1,3,4,5,6,2,8,9,10,11,7]=>[1,6,3,4,5,2,11,8,9,10,7]
[1,3,4,5,2,7,8,9,10,11,6]=>[1,5,3,4,2,11,7,8,9,10,6]
[11,2,3,1,5,6,7,8,9,10,4]=>[3,11,2,10,1,5,6,7,8,9,4]
[1,3,2,5,6,7,8,9,10,11,4]=>[1,3,2,11,5,6,7,8,9,10,4]
[1,2,4,5,6,7,8,9,10,11,3]=>[1,2,11,4,5,6,7,8,9,10,3]
[8,9,1,2,3,4,5,6,10,11,7]=>[9,1,2,3,4,5,11,8,6,10,7]
[11,7,1,2,3,4,5,9,10,6,8]=>[7,1,2,3,4,11,10,5,6,9,8]
[11,6,1,2,3,4,10,9,5,7,8]=>[6,1,2,3,11,9,4,7,10,5,8]
[5,10,1,2,3,11,9,4,6,7,8]=>[10,1,2,9,5,4,6,7,11,3,8]
[9,4,1,2,10,11,3,5,6,7,8]=>[4,1,9,11,2,5,6,7,3,10,8]
[11,3,1,9,10,2,4,5,6,7,8]=>[3,11,10,1,4,5,6,7,2,9,8]
[2,11,10,9,1,3,4,5,6,7,8]=>[9,2,1,3,4,5,6,7,10,11,8]
[11,10,1,9,8,7,6,5,4,3,2]=>[10,3,4,5,6,7,8,9,1,11,2]
[1,10,9,8,7,6,5,4,3,2,11]=>[1,3,4,5,6,7,8,9,10,2,11]
[2,3,4,5,6,7,8,9,1,11,10]=>[9,2,3,4,5,6,7,8,1,11,10]
[3,4,1,5,6,7,8,9,10,11,2]=>[4,11,3,1,5,6,7,8,9,10,2]
[1,3,4,5,6,7,8,9,11,2,10]=>[1,11,3,4,5,6,7,8,9,2,10]
[1,4,2,5,6,7,8,9,11,10,3]=>[1,4,10,2,5,6,7,8,9,11,3]
[1,2,10,3,4,5,6,7,8,11,9]=>[1,2,10,3,4,5,6,7,11,8,9]
[1,2,3,4,5,10,6,7,8,11,9]=>[1,2,3,4,5,10,6,7,11,8,9]
[10,9,8,7,6,5,4,2,1,3,11]=>[2,4,1,5,6,7,8,9,10,3,11]
[10,9,8,7,6,5,3,2,1,4,11]=>[2,3,5,1,6,7,8,9,10,4,11]
[10,9,8,7,6,4,3,2,1,11,5]=>[2,3,4,6,7,8,9,10,11,1,5]
[10,9,8,7,5,4,3,2,1,6,11]=>[2,3,4,5,7,1,8,9,10,6,11]
[10,9,8,6,5,4,3,2,1,7,11]=>[2,3,4,5,6,8,1,9,10,7,11]
[10,9,7,6,5,4,3,2,1,11,8]=>[2,3,4,5,6,7,9,10,11,8,1]
[10,8,7,6,5,4,3,2,1,9,11]=>[2,3,4,5,6,7,8,10,1,9,11]
[11,9,8,1,2,3,4,5,6,7,10]=>[8,1,2,3,4,5,6,9,11,7,10]
[9,1,2,3,4,5,6,7,8,11,10]=>[9,1,2,3,4,5,6,7,8,11,10]
[11,3,1,4,5,6,7,8,9,10,2]=>[3,11,10,2,4,5,6,7,8,9,1]
[10,11,1,2,4,5,6,7,8,9,3]=>[11,1,9,2,4,5,6,7,8,10,3]
[9,10,11,2,3,4,5,6,7,8,1]=>[8,11,2,3,4,5,6,7,9,10,1]
[8,9,10,11,2,3,4,5,6,1,7]=>[6,11,2,3,4,5,1,8,9,10,7]
[7,8,9,10,11,2,3,4,5,6,1]=>[6,11,2,3,4,5,7,8,9,10,1]
[6,7,8,9,10,11,2,3,4,5,1]=>[5,11,2,3,4,6,7,8,9,10,1]
[5,6,7,8,9,10,11,2,3,1,4]=>[3,11,2,1,5,6,7,8,9,10,4]
[4,5,6,7,8,9,10,11,2,3,1]=>[3,11,2,4,5,6,7,8,9,10,1]
[3,11,4,5,6,7,8,9,2,1,10]=>[2,9,3,11,4,5,6,7,8,1,10]
[4,1,11,5,6,7,8,9,10,3,2]=>[4,3,10,1,11,5,6,7,8,9,2]
[1,3,2,5,6,4,8,11,10,9,7]=>[1,3,2,6,5,4,9,8,10,11,7]
[2,4,3,6,7,5,9,11,10,8,1]=>[8,2,4,3,7,6,5,10,9,11,1]
[11,9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,11,9,4]
[11,10,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,10,7,8,11,3]
[11,10,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,10,8,11,5]
[11,10,9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,10,11,4]
[11,10,9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,10,11,5]
[10,11,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,11,8,10,5]
[11,10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,11,5]
[9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,9,10,5]
[11,9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,11,9,1]
[10,8,11,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,11,10,1,8]
[10,8,6,5,4,3,2,1,11,9,7]=>[2,3,4,5,6,8,10,9,11,7,1]
[10,8,6,11,9,7,5,4,3,2,1]=>[2,3,4,5,7,9,8,11,10,6,1]
[11,9,7,5,10,8,6,4,3,2,1]=>[2,3,4,6,8,7,10,9,11,5,1]
[11,9,7,5,3,2,1,10,8,6,4]=>[2,3,5,7,6,9,8,11,10,4,1]
[11,9,7,5,3,10,8,6,4,2,1]=>[2,4,6,5,8,7,10,9,11,1,3]
[10,8,6,4,2,11,9,7,5,3,1]=>[3,5,4,7,6,9,8,11,10,2,1]
[5,6,7,8,9,11,1,2,3,4,10]=>[11,1,2,3,5,6,7,8,9,4,10]
[6,1,7,8,9,10,11,2,3,4,5]=>[6,11,2,3,4,1,7,8,9,10,5]
[9,10,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,10,9,1,11]
[9,8,7,6,10,5,4,3,2,1,11]=>[2,3,4,5,10,7,8,9,6,1,11]
[9,8,7,6,5,4,3,10,2,1,11]=>[2,10,4,5,6,7,8,9,3,1,11]
[2,1,4,5,6,7,8,9,10,11,3]=>[2,1,11,4,5,6,7,8,9,10,3]
[3,4,11,1,5,6,7,8,9,10,2]=>[11,10,3,4,1,5,6,7,8,9,2]
[4,11,1,2,5,6,7,8,9,10,3]=>[11,1,10,4,2,5,6,7,8,9,3]
[3,4,5,6,7,8,9,11,1,10,2]=>[11,10,3,4,5,6,7,8,9,1,2]
[3,4,5,6,7,8,10,11,1,9,2]=>[11,9,3,4,5,6,7,8,1,10,2]
[3,4,5,6,8,9,10,11,1,7,2]=>[11,7,3,4,5,6,1,8,9,10,2]
[3,4,5,7,8,9,10,11,1,6,2]=>[11,6,3,4,5,1,7,8,9,10,2]
[3,5,6,7,8,9,10,11,1,4,2]=>[11,4,3,1,5,6,7,8,9,10,2]
[4,5,6,7,8,9,10,11,1,3,2]=>[11,3,1,4,5,6,7,8,9,10,2]
[11,10,9,4,5,6,7,8,3,2,1]=>[2,3,8,9,4,5,6,7,10,11,1]
[11,2,10,9,5,6,7,8,4,3,1]=>[3,4,8,11,9,5,6,7,10,2,1]
[10,2,3,4,5,6,7,8,9,11,1]=>[11,10,2,3,4,5,6,7,8,9,1]
[2,10,4,5,6,7,8,9,1,11,3]=>[9,2,11,10,4,5,6,7,8,1,3]
[4,3,11,5,6,7,8,9,10,2,1]=>[2,10,4,3,11,5,6,7,8,9,1]
[8,11,1,2,3,4,5,9,10,6,7]=>[11,1,2,3,4,10,6,8,5,9,7]
[10,11,1,2,3,4,8,9,5,6,7]=>[11,1,2,3,9,5,6,4,8,10,7]
[10,11,1,2,3,9,8,4,5,6,7]=>[11,1,2,8,4,5,6,9,3,10,7]
[10,9,1,2,11,8,3,4,5,6,7]=>[9,1,8,2,4,5,6,10,11,3,7]
[9,8,1,10,11,2,3,4,5,6,7]=>[8,9,1,3,4,5,6,11,2,10,7]
[11,8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,11,8,9,7]
[2,3,4,5,6,7,11,9,10,1,8]=>[10,2,3,4,5,6,7,1,11,9,8]
[2,3,4,5,6,11,8,9,10,1,7]=>[10,2,3,4,5,6,1,11,8,9,7]
[2,3,4,5,11,7,8,9,10,1,6]=>[10,2,3,4,5,1,11,7,8,9,6]
[2,3,4,11,6,7,8,9,10,1,5]=>[10,2,3,4,1,11,6,7,8,9,5]
[2,3,11,5,6,7,8,9,10,1,4]=>[10,2,3,1,11,5,6,7,8,9,4]
[5,6,7,8,9,11,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,11,1]
[6,5,7,8,9,10,11,4,3,2,1]=>[2,3,4,11,6,5,7,8,9,10,1]
[3,4,5,6,7,8,10,11,9,1,2]=>[9,1,3,4,5,6,7,8,11,10,2]
[3,4,5,6,7,9,10,11,8,1,2]=>[8,1,3,4,5,6,7,11,9,10,2]
[3,4,5,7,8,9,10,11,6,1,2]=>[6,1,3,4,5,11,7,8,9,10,2]
[3,4,6,7,8,9,10,11,5,1,2]=>[5,1,3,4,11,6,7,8,9,10,2]
[4,5,6,7,8,9,10,11,3,1,2]=>[3,1,11,4,5,6,7,8,9,10,2]
[4,5,6,7,8,9,10,11,2,1,3]=>[2,11,1,4,5,6,7,8,9,10,3]
[11,10,3,4,5,6,7,9,8,2,1]=>[2,8,9,1,4,5,6,10,7,11,3]
[11,10,4,3,5,6,7,8,9,2,1]=>[2,9,4,10,3,5,6,7,8,11,1]
[2,3,4,5,6,7,8,1,11,10,9]=>[8,2,3,4,5,6,7,1,10,11,9]
[2,3,4,5,6,7,1,8,11,10,9]=>[7,2,3,4,5,6,1,8,10,11,9]
[2,3,4,5,7,1,6,8,11,9,10]=>[7,2,3,4,5,1,6,8,11,9,10]
[2,3,4,5,1,6,7,8,11,10,9]=>[5,2,3,4,1,6,7,8,10,11,9]
[2,3,4,1,5,6,7,8,11,10,9]=>[4,2,3,1,5,6,7,8,10,11,9]
[2,4,1,3,5,6,7,8,11,9,10]=>[4,2,1,3,5,6,7,8,11,9,10]
[2,1,3,4,5,6,7,8,11,10,9]=>[2,1,3,4,5,6,7,8,10,11,9]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,12,9]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,8,9,10,7,12,11]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[2,1,4,3,6,5,10,9,11,12,7,8]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,11,12,7]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,6,7,8,5,10,9,12,11]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,6,7,8,5,10,11,12,9]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[2,1,4,3,8,7,9,10,5,6,12,11]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[2,1,4,3,10,7,11,9,5,12,8,6]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[2,1,4,3,8,7,9,10,11,12,5,6]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,6,7,8,9,10,5,12,11]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[2,1,4,3,10,7,8,9,11,12,5,6]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,6,9,8,10,11,5,12,7]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,10,11,12,5]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,4,5,6,3,8,7,10,9,12,11]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,4,5,6,3,8,7,10,11,12,9]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,4,5,6,3,8,9,10,7,12,11]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[2,1,4,5,6,3,10,9,11,12,7,8]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,11,12,7]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[2,1,6,5,7,8,3,4,10,9,12,11]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[2,1,6,5,7,8,3,4,10,11,12,9]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[2,1,8,5,9,7,3,10,6,4,12,11]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[2,1,10,5,11,7,3,9,6,12,8,4]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[2,1,8,5,9,7,3,10,11,12,6,4]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[2,1,6,5,7,8,9,10,3,4,12,11]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[2,1,10,5,11,7,8,9,3,12,6,4]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[2,1,6,5,9,10,8,12,11,4,7,3]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[2,1,6,5,7,8,9,10,11,12,3,4]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,4,5,6,7,8,3,10,9,12,11]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,4,5,6,7,8,3,10,11,12,9]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[2,1,8,5,6,7,9,10,3,4,12,11]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[2,1,10,5,6,7,11,9,3,12,8,4]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[2,1,8,5,6,7,9,10,11,12,3,4]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,4,7,6,8,9,3,10,5,12,11]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[2,1,10,7,6,8,9,3,11,12,5,4]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,4,9,6,10,8,3,11,7,12,5]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,4,7,6,8,9,10,11,3,12,5]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,4,5,6,7,8,9,10,3,12,11]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[2,1,10,5,6,7,8,9,11,12,3,4]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,4,9,6,7,8,10,11,3,12,5]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,4,5,8,7,9,10,3,11,12,6]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,3]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[2,3,4,1,6,5,8,7,10,9,12,11]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[2,3,4,1,6,5,8,7,10,11,12,9]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[2,3,4,1,6,5,8,9,10,7,12,11]
[4,3,2,1,6,5,12,9,8,11,10,7]=>[2,3,4,1,6,5,10,9,11,12,7,8]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[2,3,4,1,6,5,8,9,10,11,12,7]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[2,3,4,1,6,7,8,5,10,9,12,11]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[2,3,4,1,6,7,8,5,10,11,12,9]
[4,3,2,1,10,7,6,9,8,5,12,11]=>[2,3,4,1,8,7,9,10,5,6,12,11]
[4,3,2,1,12,7,6,9,8,11,10,5]=>[2,3,4,1,10,7,11,9,5,12,8,6]
[4,3,2,1,12,7,6,11,10,9,8,5]=>[2,3,4,1,8,7,9,10,11,12,5,6]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[2,3,4,1,6,7,8,9,10,5,12,11]
[4,3,2,1,12,9,8,7,6,11,10,5]=>[2,3,4,1,10,7,8,9,11,12,5,6]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[2,3,4,1,6,9,8,10,11,5,12,7]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,11,12,5]
[6,3,2,5,4,1,8,7,10,9,12,11]=>[4,3,5,6,1,2,8,7,10,9,12,11]
[6,3,2,5,4,1,8,7,12,11,10,9]=>[4,3,5,6,1,2,8,7,10,11,12,9]
[6,3,2,5,4,1,10,9,8,7,12,11]=>[4,3,5,6,1,2,8,9,10,7,12,11]
[6,3,2,5,4,1,12,9,8,11,10,7]=>[4,3,5,6,1,2,10,9,11,12,7,8]
[6,3,2,5,4,1,12,11,10,9,8,7]=>[4,3,5,6,1,2,8,9,10,11,12,7]
[8,3,2,5,4,7,6,1,10,9,12,11]=>[6,3,7,5,1,8,4,2,10,9,12,11]
[8,3,2,5,4,7,6,1,12,11,10,9]=>[6,3,7,5,1,8,4,2,10,11,12,9]
[10,3,2,5,4,7,6,9,8,1,12,11]=>[8,3,9,5,1,7,4,10,6,2,12,11]
[12,3,2,5,4,7,6,9,8,11,10,1]=>[10,3,11,5,1,7,4,9,6,12,8,2]
[12,3,2,5,4,7,6,11,10,9,8,1]=>[8,3,9,5,1,7,4,10,11,12,6,2]
[10,3,2,5,4,9,8,7,6,1,12,11]=>[6,3,7,5,1,8,9,10,4,2,12,11]
[12,3,2,5,4,9,8,7,6,11,10,1]=>[10,3,11,5,1,7,8,9,4,12,6,2]
[12,3,2,5,4,11,8,7,10,9,6,1]=>[6,3,9,5,2,10,8,12,11,4,7,1]
[12,3,2,5,4,11,10,9,8,7,6,1]=>[6,3,7,5,1,8,9,10,11,12,4,2]
[8,3,2,7,6,5,4,1,10,9,12,11]=>[4,3,5,6,7,8,1,2,10,9,12,11]
[8,3,2,7,6,5,4,1,12,11,10,9]=>[4,3,5,6,7,8,1,2,10,11,12,9]
[10,3,2,7,6,5,4,9,8,1,12,11]=>[8,3,9,5,6,7,1,10,4,2,12,11]
[12,3,2,7,6,5,4,9,8,11,10,1]=>[10,3,11,5,6,7,1,9,4,12,8,2]
[12,3,2,7,6,5,4,11,10,9,8,1]=>[8,3,9,5,6,7,1,10,11,12,4,2]
[10,3,2,9,6,5,8,7,4,1,12,11]=>[4,3,7,8,6,10,9,2,5,1,12,11]
[12,3,2,9,6,5,8,7,4,11,10,1]=>[10,3,11,7,6,8,9,4,1,12,5,2]
[12,3,2,11,6,5,8,7,10,9,4,1]=>[4,3,9,10,6,12,8,2,11,7,5,1]
[12,3,2,11,6,5,10,9,8,7,4,1]=>[4,3,7,8,6,9,10,12,11,5,1,2]
[10,3,2,9,8,7,6,5,4,1,12,11]=>[4,3,5,6,7,8,9,10,1,2,12,11]
[12,3,2,9,8,7,6,5,4,11,10,1]=>[10,3,11,5,6,7,8,9,1,12,4,2]
[12,3,2,11,8,7,6,5,10,9,4,1]=>[4,3,9,10,6,7,8,12,11,2,5,1]
[12,3,2,11,10,7,6,9,8,5,4,1]=>[4,3,5,8,9,7,12,10,1,11,6,2]
[12,3,2,11,10,9,8,7,6,5,4,1]=>[4,3,5,6,7,8,9,10,11,12,1,2]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[2,3,4,5,6,1,8,7,10,9,12,11]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[2,3,4,5,6,1,8,7,10,11,12,9]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[2,3,4,5,6,1,8,9,10,7,12,11]
[6,5,4,3,2,1,12,9,8,11,10,7]=>[2,3,4,5,6,1,10,9,11,12,7,8]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,11,12,7]
[8,5,4,3,2,7,6,1,10,9,12,11]=>[6,3,4,5,7,8,1,2,10,9,12,11]
[8,5,4,3,2,7,6,1,12,11,10,9]=>[6,3,4,5,7,8,1,2,10,11,12,9]
[10,5,4,3,2,7,6,9,8,1,12,11]=>[8,3,4,5,9,7,1,10,6,2,12,11]
[12,5,4,3,2,7,6,9,8,11,10,1]=>[10,3,4,5,11,7,1,9,6,12,8,2]
[12,5,4,3,2,7,6,11,10,9,8,1]=>[8,3,4,5,9,7,1,10,11,12,6,2]
[10,5,4,3,2,9,8,7,6,1,12,11]=>[6,3,4,5,7,8,9,10,1,2,12,11]
[12,5,4,3,2,9,8,7,6,11,10,1]=>[10,3,4,5,11,7,8,9,1,12,6,2]
[12,5,4,3,2,11,8,7,10,9,6,1]=>[6,3,4,5,9,10,8,12,11,2,7,1]
[12,5,4,3,2,11,10,9,8,7,6,1]=>[6,3,4,5,7,8,9,10,11,12,1,2]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[2,5,4,6,7,1,8,3,10,9,12,11]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[2,5,4,6,7,1,8,3,10,11,12,9]
[10,7,4,3,6,5,2,9,8,1,12,11]=>[8,5,4,6,7,1,9,10,3,2,12,11]
[12,7,4,3,6,5,2,9,8,11,10,1]=>[10,5,4,6,7,1,11,9,3,12,8,2]
[12,7,4,3,6,5,2,11,10,9,8,1]=>[8,5,4,6,7,1,9,10,11,12,3,2]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[2,7,4,8,6,1,9,5,10,3,12,11]
[12,9,4,3,6,5,8,7,2,11,10,1]=>[10,7,4,8,6,1,9,5,11,12,3,2]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[2,9,4,10,6,1,8,5,11,7,12,3]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[2,7,4,8,6,1,9,10,11,5,12,3]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[2,5,4,6,7,8,9,1,10,3,12,11]
[12,9,4,3,8,7,6,5,2,11,10,1]=>[10,5,4,6,7,8,9,1,11,12,3,2]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[2,9,4,10,6,7,8,1,11,5,12,3]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[2,5,4,8,9,7,11,10,3,6,12,1]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[2,5,4,6,7,8,9,10,11,1,12,3]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[2,3,4,5,6,7,8,1,10,9,12,11]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[2,3,4,5,6,7,8,1,10,11,12,9]
[10,7,6,5,4,3,2,9,8,1,12,11]=>[8,3,4,5,6,7,9,10,1,2,12,11]
[12,7,6,5,4,3,2,9,8,11,10,1]=>[10,3,4,5,6,7,11,9,1,12,8,2]
[12,7,6,5,4,3,2,11,10,9,8,1]=>[8,3,4,5,6,7,9,10,11,12,1,2]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[2,7,4,5,6,8,9,1,10,3,12,11]
[12,9,6,5,4,3,8,7,2,11,10,1]=>[10,7,4,5,6,8,9,1,11,12,3,2]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[2,9,4,5,6,10,8,1,11,7,12,3]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[2,7,4,5,6,8,9,10,11,1,12,3]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[2,3,6,5,7,8,1,9,10,4,12,11]
[12,9,8,5,4,7,6,3,2,11,10,1]=>[10,3,6,5,7,8,1,9,11,12,4,2]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[2,9,6,5,7,8,1,10,11,4,12,3]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[2,3,8,5,9,7,1,10,6,11,12,4]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[2,3,6,5,7,8,9,10,1,11,12,4]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[2,3,4,5,6,7,8,9,10,1,12,11]
[12,9,8,7,6,5,4,3,2,11,10,1]=>[10,3,4,5,6,7,8,9,11,12,1,2]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[2,9,4,5,6,7,8,10,11,1,12,3]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[2,3,8,5,6,7,9,10,1,11,12,4]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[2,3,4,7,6,8,9,1,10,11,12,5]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,12,1]
[2,4,6,8,10,12,1,3,5,7,9,11]=>[12,2,1,4,3,6,5,8,7,10,9,11]
[2,4,6,8,11,12,1,3,5,7,9,10]=>[12,2,1,4,3,6,5,8,7,9,11,10]
[2,4,6,9,10,12,1,3,5,7,8,11]=>[12,2,1,4,3,6,5,7,9,10,8,11]
[2,4,6,9,11,12,1,3,5,7,8,10]=>[12,2,1,4,3,6,5,7,9,8,11,10]
[2,4,6,10,11,12,1,3,5,7,8,9]=>[12,2,1,4,3,6,5,7,8,10,11,9]
[2,4,7,8,10,12,1,3,5,6,9,11]=>[12,2,1,4,3,5,7,8,6,10,9,11]
[2,4,7,8,11,12,1,3,5,6,9,10]=>[12,2,1,4,3,5,7,8,6,9,11,10]
[2,4,7,9,10,12,1,3,5,6,8,11]=>[12,2,1,4,3,5,7,6,9,10,8,11]
[2,4,7,9,11,12,1,3,5,6,8,10]=>[12,2,1,4,3,5,7,6,9,8,11,10]
[2,4,7,10,11,12,1,3,5,6,8,9]=>[12,2,1,4,3,5,7,6,8,10,11,9]
[2,4,8,9,10,12,1,3,5,6,7,11]=>[12,2,1,4,3,5,6,8,9,10,7,11]
[2,4,8,9,11,12,1,3,5,6,7,10]=>[12,2,1,4,3,5,6,8,9,7,11,10]
[2,4,8,10,11,12,1,3,5,6,7,9]=>[12,2,1,4,3,5,6,8,7,10,11,9]
[2,4,9,10,11,12,1,3,5,6,7,8]=>[12,2,1,4,3,5,6,7,9,10,11,8]
[2,5,6,8,10,12,1,3,4,7,9,11]=>[12,2,1,3,5,6,4,8,7,10,9,11]
[2,5,6,8,11,12,1,3,4,7,9,10]=>[12,2,1,3,5,6,4,8,7,9,11,10]
[2,5,6,9,10,12,1,3,4,7,8,11]=>[12,2,1,3,5,6,4,7,9,10,8,11]
[2,5,6,9,11,12,1,3,4,7,8,10]=>[12,2,1,3,5,6,4,7,9,8,11,10]
[2,5,6,10,11,12,1,3,4,7,8,9]=>[12,2,1,3,5,6,4,7,8,10,11,9]
[2,5,7,8,10,12,1,3,4,6,9,11]=>[12,2,1,3,5,4,7,8,6,10,9,11]
[2,5,7,8,11,12,1,3,4,6,9,10]=>[12,2,1,3,5,4,7,8,6,9,11,10]
[2,5,7,9,10,12,1,3,4,6,8,11]=>[12,2,1,3,5,4,7,6,9,10,8,11]
[2,5,7,9,11,12,1,3,4,6,8,10]=>[12,2,1,3,5,4,7,6,9,8,11,10]
[2,5,7,10,11,12,1,3,4,6,8,9]=>[12,2,1,3,5,4,7,6,8,10,11,9]
[2,5,8,9,10,12,1,3,4,6,7,11]=>[12,2,1,3,5,4,6,8,9,10,7,11]
[2,5,8,9,11,12,1,3,4,6,7,10]=>[12,2,1,3,5,4,6,8,9,7,11,10]
[2,5,8,10,11,12,1,3,4,6,7,9]=>[12,2,1,3,5,4,6,8,7,10,11,9]
[2,5,9,10,11,12,1,3,4,6,7,8]=>[12,2,1,3,5,4,6,7,9,10,11,8]
[2,6,7,8,10,12,1,3,4,5,9,11]=>[12,2,1,3,4,6,7,8,5,10,9,11]
[2,6,7,8,11,12,1,3,4,5,9,10]=>[12,2,1,3,4,6,7,8,5,9,11,10]
[2,6,7,9,10,12,1,3,4,5,8,11]=>[12,2,1,3,4,6,7,5,9,10,8,11]
[2,6,7,9,11,12,1,3,4,5,8,10]=>[12,2,1,3,4,6,7,5,9,8,11,10]
[2,6,7,10,11,12,1,3,4,5,8,9]=>[12,2,1,3,4,6,7,5,8,10,11,9]
[2,6,8,9,10,12,1,3,4,5,7,11]=>[12,2,1,3,4,6,5,8,9,10,7,11]
[2,6,8,9,11,12,1,3,4,5,7,10]=>[12,2,1,3,4,6,5,8,9,7,11,10]
[2,6,8,10,11,12,1,3,4,5,7,9]=>[12,2,1,3,4,6,5,8,7,10,11,9]
[2,6,9,10,11,12,1,3,4,5,7,8]=>[12,2,1,3,4,6,5,7,9,10,11,8]
[2,7,8,9,10,12,1,3,4,5,6,11]=>[12,2,1,3,4,5,7,8,9,10,6,11]
[2,7,8,9,11,12,1,3,4,5,6,10]=>[12,2,1,3,4,5,7,8,9,6,11,10]
[2,7,8,10,11,12,1,3,4,5,6,9]=>[12,2,1,3,4,5,7,8,6,10,11,9]
[2,7,9,10,11,12,1,3,4,5,6,8]=>[12,2,1,3,4,5,7,6,9,10,11,8]
[2,8,9,10,11,12,1,3,4,5,6,7]=>[12,2,1,3,4,5,6,8,9,10,11,7]
[3,4,6,8,10,12,1,2,5,7,9,11]=>[12,1,3,4,2,6,5,8,7,10,9,11]
[3,4,6,8,11,12,1,2,5,7,9,10]=>[12,1,3,4,2,6,5,8,7,9,11,10]
[3,4,6,9,10,12,1,2,5,7,8,11]=>[12,1,3,4,2,6,5,7,9,10,8,11]
[3,4,6,9,11,12,1,2,5,7,8,10]=>[12,1,3,4,2,6,5,7,9,8,11,10]
[3,4,6,10,11,12,1,2,5,7,8,9]=>[12,1,3,4,2,6,5,7,8,10,11,9]
[3,4,7,8,10,12,1,2,5,6,9,11]=>[12,1,3,4,2,5,7,8,6,10,9,11]
[3,4,7,8,11,12,1,2,5,6,9,10]=>[12,1,3,4,2,5,7,8,6,9,11,10]
[3,4,7,9,10,12,1,2,5,6,8,11]=>[12,1,3,4,2,5,7,6,9,10,8,11]
[3,4,7,9,11,12,1,2,5,6,8,10]=>[12,1,3,4,2,5,7,6,9,8,11,10]
[3,4,7,10,11,12,1,2,5,6,8,9]=>[12,1,3,4,2,5,7,6,8,10,11,9]
[3,4,8,9,10,12,1,2,5,6,7,11]=>[12,1,3,4,2,5,6,8,9,10,7,11]
[3,4,8,9,11,12,1,2,5,6,7,10]=>[12,1,3,4,2,5,6,8,9,7,11,10]
[3,4,8,10,11,12,1,2,5,6,7,9]=>[12,1,3,4,2,5,6,8,7,10,11,9]
[3,4,9,10,11,12,1,2,5,6,7,8]=>[12,1,3,4,2,5,6,7,9,10,11,8]
[3,5,6,8,10,12,1,2,4,7,9,11]=>[12,1,3,2,5,6,4,8,7,10,9,11]
[3,5,6,8,11,12,1,2,4,7,9,10]=>[12,1,3,2,5,6,4,8,7,9,11,10]
[3,5,6,9,10,12,1,2,4,7,8,11]=>[12,1,3,2,5,6,4,7,9,10,8,11]
[3,5,6,9,11,12,1,2,4,7,8,10]=>[12,1,3,2,5,6,4,7,9,8,11,10]
[3,5,6,10,11,12,1,2,4,7,8,9]=>[12,1,3,2,5,6,4,7,8,10,11,9]
[3,5,7,8,10,12,1,2,4,6,9,11]=>[12,1,3,2,5,4,7,8,6,10,9,11]
[3,5,7,8,11,12,1,2,4,6,9,10]=>[12,1,3,2,5,4,7,8,6,9,11,10]
[3,5,7,9,10,12,1,2,4,6,8,11]=>[12,1,3,2,5,4,7,6,9,10,8,11]
[3,5,7,9,11,12,1,2,4,6,8,10]=>[12,1,3,2,5,4,7,6,9,8,11,10]
[3,5,7,10,11,12,1,2,4,6,8,9]=>[12,1,3,2,5,4,7,6,8,10,11,9]
[3,5,8,9,10,12,1,2,4,6,7,11]=>[12,1,3,2,5,4,6,8,9,10,7,11]
[3,5,8,9,11,12,1,2,4,6,7,10]=>[12,1,3,2,5,4,6,8,9,7,11,10]
[3,5,8,10,11,12,1,2,4,6,7,9]=>[12,1,3,2,5,4,6,8,7,10,11,9]
[3,5,9,10,11,12,1,2,4,6,7,8]=>[12,1,3,2,5,4,6,7,9,10,11,8]
[3,6,7,8,10,12,1,2,4,5,9,11]=>[12,1,3,2,4,6,7,8,5,10,9,11]
[3,6,7,8,11,12,1,2,4,5,9,10]=>[12,1,3,2,4,6,7,8,5,9,11,10]
[3,6,7,9,10,12,1,2,4,5,8,11]=>[12,1,3,2,4,6,7,5,9,10,8,11]
[3,6,7,9,11,12,1,2,4,5,8,10]=>[12,1,3,2,4,6,7,5,9,8,11,10]
[3,6,7,10,11,12,1,2,4,5,8,9]=>[12,1,3,2,4,6,7,5,8,10,11,9]
[3,6,8,9,10,12,1,2,4,5,7,11]=>[12,1,3,2,4,6,5,8,9,10,7,11]
[3,6,8,9,11,12,1,2,4,5,7,10]=>[12,1,3,2,4,6,5,8,9,7,11,10]
[3,6,8,10,11,12,1,2,4,5,7,9]=>[12,1,3,2,4,6,5,8,7,10,11,9]
[3,6,9,10,11,12,1,2,4,5,7,8]=>[12,1,3,2,4,6,5,7,9,10,11,8]
[3,7,8,9,10,12,1,2,4,5,6,11]=>[12,1,3,2,4,5,7,8,9,10,6,11]
[3,7,8,9,11,12,1,2,4,5,6,10]=>[12,1,3,2,4,5,7,8,9,6,11,10]
[3,7,8,10,11,12,1,2,4,5,6,9]=>[12,1,3,2,4,5,7,8,6,10,11,9]
[3,7,9,10,11,12,1,2,4,5,6,8]=>[12,1,3,2,4,5,7,6,9,10,11,8]
[3,8,9,10,11,12,1,2,4,5,6,7]=>[12,1,3,2,4,5,6,8,9,10,11,7]
[4,5,6,8,10,12,1,2,3,7,9,11]=>[12,1,2,4,5,6,3,8,7,10,9,11]
[4,5,6,8,11,12,1,2,3,7,9,10]=>[12,1,2,4,5,6,3,8,7,9,11,10]
[4,5,6,9,10,12,1,2,3,7,8,11]=>[12,1,2,4,5,6,3,7,9,10,8,11]
[4,5,6,9,11,12,1,2,3,7,8,10]=>[12,1,2,4,5,6,3,7,9,8,11,10]
[4,5,6,10,11,12,1,2,3,7,8,9]=>[12,1,2,4,5,6,3,7,8,10,11,9]
[4,5,7,8,10,12,1,2,3,6,9,11]=>[12,1,2,4,5,3,7,8,6,10,9,11]
[4,5,7,8,11,12,1,2,3,6,9,10]=>[12,1,2,4,5,3,7,8,6,9,11,10]
[4,5,7,9,10,12,1,2,3,6,8,11]=>[12,1,2,4,5,3,7,6,9,10,8,11]
[4,5,7,9,11,12,1,2,3,6,8,10]=>[12,1,2,4,5,3,7,6,9,8,11,10]
[4,5,7,10,11,12,1,2,3,6,8,9]=>[12,1,2,4,5,3,7,6,8,10,11,9]
[4,5,8,9,10,12,1,2,3,6,7,11]=>[12,1,2,4,5,3,6,8,9,10,7,11]
[4,5,8,9,11,12,1,2,3,6,7,10]=>[12,1,2,4,5,3,6,8,9,7,11,10]
[4,5,8,10,11,12,1,2,3,6,7,9]=>[12,1,2,4,5,3,6,8,7,10,11,9]
[4,5,9,10,11,12,1,2,3,6,7,8]=>[12,1,2,4,5,3,6,7,9,10,11,8]
[4,6,7,8,10,12,1,2,3,5,9,11]=>[12,1,2,4,3,6,7,8,5,10,9,11]
[4,6,7,8,11,12,1,2,3,5,9,10]=>[12,1,2,4,3,6,7,8,5,9,11,10]
[4,6,7,9,10,12,1,2,3,5,8,11]=>[12,1,2,4,3,6,7,5,9,10,8,11]
[4,6,7,9,11,12,1,2,3,5,8,10]=>[12,1,2,4,3,6,7,5,9,8,11,10]
[4,6,7,10,11,12,1,2,3,5,8,9]=>[12,1,2,4,3,6,7,5,8,10,11,9]
[4,6,8,9,10,12,1,2,3,5,7,11]=>[12,1,2,4,3,6,5,8,9,10,7,11]
[4,6,8,9,11,12,1,2,3,5,7,10]=>[12,1,2,4,3,6,5,8,9,7,11,10]
[4,6,8,10,11,12,1,2,3,5,7,9]=>[12,1,2,4,3,6,5,8,7,10,11,9]
[4,6,9,10,11,12,1,2,3,5,7,8]=>[12,1,2,4,3,6,5,7,9,10,11,8]
[4,7,8,9,10,12,1,2,3,5,6,11]=>[12,1,2,4,3,5,7,8,9,10,6,11]
[4,7,8,9,11,12,1,2,3,5,6,10]=>[12,1,2,4,3,5,7,8,9,6,11,10]
[4,7,8,10,11,12,1,2,3,5,6,9]=>[12,1,2,4,3,5,7,8,6,10,11,9]
[4,7,9,10,11,12,1,2,3,5,6,8]=>[12,1,2,4,3,5,7,6,9,10,11,8]
[4,8,9,10,11,12,1,2,3,5,6,7]=>[12,1,2,4,3,5,6,8,9,10,11,7]
[5,6,7,8,10,12,1,2,3,4,9,11]=>[12,1,2,3,5,6,7,8,4,10,9,11]
[5,6,7,8,11,12,1,2,3,4,9,10]=>[12,1,2,3,5,6,7,8,4,9,11,10]
[5,6,7,9,10,12,1,2,3,4,8,11]=>[12,1,2,3,5,6,7,4,9,10,8,11]
[5,6,7,9,11,12,1,2,3,4,8,10]=>[12,1,2,3,5,6,7,4,9,8,11,10]
[5,6,7,10,11,12,1,2,3,4,8,9]=>[12,1,2,3,5,6,7,4,8,10,11,9]
[5,6,8,9,10,12,1,2,3,4,7,11]=>[12,1,2,3,5,6,4,8,9,10,7,11]
[5,6,8,9,11,12,1,2,3,4,7,10]=>[12,1,2,3,5,6,4,8,9,7,11,10]
[5,6,8,10,11,12,1,2,3,4,7,9]=>[12,1,2,3,5,6,4,8,7,10,11,9]
[5,6,9,10,11,12,1,2,3,4,7,8]=>[12,1,2,3,5,6,4,7,9,10,11,8]
[5,7,8,9,10,12,1,2,3,4,6,11]=>[12,1,2,3,5,4,7,8,9,10,6,11]
[5,7,8,9,11,12,1,2,3,4,6,10]=>[12,1,2,3,5,4,7,8,9,6,11,10]
[5,7,8,10,11,12,1,2,3,4,6,9]=>[12,1,2,3,5,4,7,8,6,10,11,9]
[5,7,9,10,11,12,1,2,3,4,6,8]=>[12,1,2,3,5,4,7,6,9,10,11,8]
[5,8,9,10,11,12,1,2,3,4,6,7]=>[12,1,2,3,5,4,6,8,9,10,11,7]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[12,1,2,3,4,6,7,8,9,10,5,11]
[6,7,8,9,11,12,1,2,3,4,5,10]=>[12,1,2,3,4,6,7,8,9,5,11,10]
[6,7,8,10,11,12,1,2,3,4,5,9]=>[12,1,2,3,4,6,7,8,5,10,11,9]
[6,7,9,10,11,12,1,2,3,4,5,8]=>[12,1,2,3,4,6,7,5,9,10,11,8]
[6,8,9,10,11,12,1,2,3,4,5,7]=>[12,1,2,3,4,6,5,8,9,10,11,7]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,1,2,3,4,5,7,8,9,10,11,6]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[12,2,3,4,5,6,7,8,9,10,1,11]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,12,1,4,5,6,7,8,9,10,11,2]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[2,1,4,3,6,5,8,7,10,12,11,9]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[2,1,4,3,6,5,8,10,9,7,12,11]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[2,1,4,3,6,5,10,12,9,11,7,8]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[2,1,4,3,6,5,8,9,12,10,11,7]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[2,1,4,3,6,8,7,5,10,9,12,11]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[2,1,4,3,6,8,7,5,10,12,11,9]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[2,1,4,3,8,10,7,9,5,6,12,11]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[2,1,4,3,10,9,7,12,6,11,5,8]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[2,1,4,3,8,9,7,12,10,6,11,5]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[2,1,4,3,6,7,10,8,9,5,12,11]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[2,1,4,3,10,7,12,8,9,11,5,6]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[2,1,4,3,6,9,12,8,11,10,5,7]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[2,1,4,3,6,7,8,12,9,10,11,5]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[2,1,4,6,5,3,8,7,10,9,12,11]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[2,1,4,6,5,3,8,7,10,12,11,9]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[2,1,4,6,5,3,8,10,9,7,12,11]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[2,1,4,6,5,3,10,12,9,11,7,8]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[2,1,4,6,5,3,8,9,12,10,11,7]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[2,1,6,8,5,7,3,4,10,9,12,11]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[2,1,6,8,5,7,3,4,10,12,11,9]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[2,1,8,7,5,10,4,9,3,6,12,11]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[2,1,10,7,5,9,4,12,6,11,3,8]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[2,1,8,7,5,9,4,12,10,6,11,3]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[2,1,6,7,5,10,8,4,9,3,12,11]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[2,1,10,8,5,7,12,4,9,11,3,6]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[2,1,6,9,5,8,12,3,11,10,4,7]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[2,1,6,7,5,8,12,9,3,10,11,4]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[2,1,4,5,8,6,7,3,10,9,12,11]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[2,1,4,5,8,6,7,3,10,12,11,9]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[2,1,8,5,10,6,7,9,3,4,12,11]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[2,1,10,5,9,6,7,12,4,11,3,8]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[2,1,8,5,9,6,7,12,10,4,11,3]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[2,1,4,7,10,6,9,8,3,5,12,11]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[2,1,10,7,12,6,9,8,4,11,3,5]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[2,1,4,9,12,6,10,8,11,7,3,5]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[2,1,4,7,8,6,12,10,9,5,11,3]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[2,1,4,5,6,10,7,8,9,3,12,11]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[2,1,10,5,6,12,7,8,9,11,3,4]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[2,1,4,9,6,12,7,8,11,10,3,5]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[2,1,4,5,8,12,7,11,9,10,3,6]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[2,1,4,5,6,7,12,8,9,10,11,3]
[3,4,2,1,6,5,8,7,10,9,12,11]=>[2,4,3,1,6,5,8,7,10,9,12,11]
[3,4,2,1,6,5,8,7,11,12,10,9]=>[2,4,3,1,6,5,8,7,10,12,11,9]
[3,4,2,1,6,5,9,10,8,7,12,11]=>[2,4,3,1,6,5,8,10,9,7,12,11]
[3,4,2,1,6,5,9,11,8,12,10,7]=>[2,4,3,1,6,5,10,12,9,11,7,8]
[3,4,2,1,6,5,10,11,12,9,8,7]=>[2,4,3,1,6,5,8,9,12,10,11,7]
[3,4,2,1,7,8,6,5,10,9,12,11]=>[2,4,3,1,6,8,7,5,10,9,12,11]
[3,4,2,1,7,8,6,5,11,12,10,9]=>[2,4,3,1,6,8,7,5,10,12,11,9]
[3,4,2,1,7,9,6,10,8,5,12,11]=>[2,4,3,1,8,10,7,9,5,6,12,11]
[3,4,2,1,7,9,6,11,8,12,10,5]=>[2,4,3,1,10,9,7,12,6,11,5,8]
[3,4,2,1,7,10,6,11,12,9,8,5]=>[2,4,3,1,8,9,7,12,10,6,11,5]
[3,4,2,1,8,9,10,7,6,5,12,11]=>[2,4,3,1,6,7,10,8,9,5,12,11]
[3,4,2,1,8,9,11,7,6,12,10,5]=>[2,4,3,1,10,7,12,8,9,11,5,6]
[3,4,2,1,8,10,11,7,12,9,6,5]=>[2,4,3,1,6,9,12,8,11,10,5,7]
[3,4,2,1,9,10,11,12,8,7,6,5]=>[2,4,3,1,6,7,8,12,9,10,11,5]
[3,5,2,6,4,1,8,7,10,9,12,11]=>[4,6,3,5,1,2,8,7,10,9,12,11]
[3,5,2,6,4,1,8,7,11,12,10,9]=>[4,6,3,5,1,2,8,7,10,12,11,9]
[3,5,2,6,4,1,9,10,8,7,12,11]=>[4,6,3,5,1,2,8,10,9,7,12,11]
[3,5,2,6,4,1,9,11,8,12,10,7]=>[4,6,3,5,1,2,10,12,9,11,7,8]
[3,5,2,6,4,1,10,11,12,9,8,7]=>[4,6,3,5,1,2,8,9,12,10,11,7]
[3,5,2,7,4,8,6,1,10,9,12,11]=>[6,5,3,8,2,7,1,4,10,9,12,11]
[3,5,2,7,4,8,6,1,11,12,10,9]=>[6,5,3,8,2,7,1,4,10,12,11,9]
[3,5,2,7,4,9,6,10,8,1,12,11]=>[8,5,3,7,2,10,4,9,1,6,12,11]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[10,5,3,7,2,9,4,12,6,11,1,8]
[3,5,2,7,4,10,6,11,12,9,8,1]=>[8,5,3,7,2,9,4,12,10,6,11,1]
[3,5,2,8,4,9,10,7,6,1,12,11]=>[6,5,3,7,2,10,8,4,9,1,12,11]
[3,5,2,8,4,9,11,7,6,12,10,1]=>[10,5,3,8,2,7,12,4,9,11,1,6]
[3,5,2,8,4,10,11,7,12,9,6,1]=>[6,5,3,9,2,8,12,1,11,10,4,7]
[3,5,2,9,4,10,11,12,8,7,6,1]=>[6,5,3,7,2,8,12,9,1,10,11,4]
[3,6,2,7,8,5,4,1,10,9,12,11]=>[4,5,3,8,6,2,7,1,10,9,12,11]
[3,6,2,7,8,5,4,1,11,12,10,9]=>[4,5,3,8,6,2,7,1,10,12,11,9]
[3,6,2,7,9,5,4,10,8,1,12,11]=>[8,6,3,5,10,2,7,9,1,4,12,11]
[3,6,2,7,9,5,4,11,8,12,10,1]=>[10,6,3,5,9,2,7,12,4,11,1,8]
[3,6,2,7,10,5,4,11,12,9,8,1]=>[8,6,3,5,9,2,7,12,10,4,11,1]
[3,6,2,8,9,5,10,7,4,1,12,11]=>[4,7,3,6,10,1,9,8,2,5,12,11]
[3,6,2,8,9,5,11,7,4,12,10,1]=>[10,6,3,7,12,2,9,8,4,11,1,5]
[3,6,2,8,10,5,11,7,12,9,4,1]=>[4,9,3,6,12,1,10,8,11,7,2,5]
[3,6,2,9,10,5,11,12,8,7,4,1]=>[4,7,3,6,8,1,12,10,9,5,11,2]
[3,7,2,8,9,10,6,5,4,1,12,11]=>[4,5,3,6,10,7,1,8,9,2,12,11]
[3,7,2,8,9,11,6,5,4,12,10,1]=>[10,7,3,5,6,12,2,8,9,11,1,4]
[3,7,2,8,10,11,6,5,12,9,4,1]=>[4,9,3,7,6,12,1,8,11,10,2,5]
[3,7,2,9,10,11,6,12,8,5,4,1]=>[4,5,3,8,7,12,2,11,9,10,1,6]
[3,8,2,9,10,11,12,7,6,5,4,1]=>[4,5,3,6,7,12,8,2,9,10,11,1]
[4,5,6,3,2,1,8,7,10,9,12,11]=>[2,3,6,4,5,1,8,7,10,9,12,11]
[4,5,6,3,2,1,8,7,11,12,10,9]=>[2,3,6,4,5,1,8,7,10,12,11,9]
[4,5,6,3,2,1,9,10,8,7,12,11]=>[2,3,6,4,5,1,8,10,9,7,12,11]
[4,5,6,3,2,1,9,11,8,12,10,7]=>[2,3,6,4,5,1,10,12,9,11,7,8]
[4,5,6,3,2,1,10,11,12,9,8,7]=>[2,3,6,4,5,1,8,9,12,10,11,7]
[4,5,7,3,2,8,6,1,10,9,12,11]=>[6,3,8,4,5,7,1,2,10,9,12,11]
[4,5,7,3,2,8,6,1,11,12,10,9]=>[6,3,8,4,5,7,1,2,10,12,11,9]
[4,5,7,3,2,9,6,10,8,1,12,11]=>[8,3,7,4,5,10,2,9,1,6,12,11]
[4,5,7,3,2,9,6,11,8,12,10,1]=>[10,3,7,4,5,9,2,12,6,11,1,8]
[4,5,7,3,2,10,6,11,12,9,8,1]=>[8,3,7,4,5,9,2,12,10,6,11,1]
[4,5,8,3,2,9,10,7,6,1,12,11]=>[6,3,7,4,5,10,8,2,9,1,12,11]
[4,5,8,3,2,9,11,7,6,12,10,1]=>[10,3,8,4,5,7,12,2,9,11,1,6]
[4,5,8,3,2,10,11,7,12,9,6,1]=>[6,3,9,4,5,8,12,1,11,10,2,7]
[4,5,9,3,2,10,11,12,8,7,6,1]=>[6,3,7,4,5,8,12,9,1,10,11,2]
[4,6,7,3,8,5,2,1,10,9,12,11]=>[2,5,8,4,7,6,1,3,10,9,12,11]
[4,6,7,3,8,5,2,1,11,12,10,9]=>[2,5,8,4,7,6,1,3,10,12,11,9]
[4,6,7,3,9,5,2,10,8,1,12,11]=>[8,5,10,4,7,6,2,9,1,3,12,11]
[4,6,7,3,9,5,2,11,8,12,10,1]=>[10,5,9,4,7,6,2,12,3,11,1,8]
[4,6,7,3,10,5,2,11,12,9,8,1]=>[8,5,9,4,7,6,2,12,10,3,11,1]
[4,6,8,3,9,5,10,7,2,1,12,11]=>[2,7,10,4,8,6,9,5,1,3,12,11]
[4,6,8,3,9,5,11,7,2,12,10,1]=>[10,7,12,4,8,6,9,5,2,11,1,3]
[4,6,8,3,10,5,11,7,12,9,2,1]=>[2,9,8,4,12,6,10,3,11,7,1,5]
[4,6,9,3,10,5,11,12,8,7,2,1]=>[2,7,8,4,12,6,9,10,1,3,11,5]
[4,7,8,3,9,10,6,5,2,1,12,11]=>[2,5,6,4,10,8,7,3,9,1,12,11]
[4,7,8,3,9,11,6,5,2,12,10,1]=>[10,5,6,4,12,8,7,3,9,11,1,2]
[4,7,8,3,10,11,6,5,12,9,2,1]=>[2,9,8,4,6,12,7,3,11,10,1,5]
[4,7,9,3,10,11,6,12,8,5,2,1]=>[2,5,8,4,12,9,7,11,6,10,3,1]
[4,8,9,3,10,11,12,7,6,5,2,1]=>[2,5,6,4,7,12,9,8,1,10,11,3]
[5,6,7,8,4,3,2,1,10,9,12,11]=>[2,3,4,8,5,6,7,1,10,9,12,11]
[5,6,7,8,4,3,2,1,11,12,10,9]=>[2,3,4,8,5,6,7,1,10,12,11,9]
[5,6,7,9,4,3,2,10,8,1,12,11]=>[8,3,4,10,5,6,7,9,1,2,12,11]
[5,6,7,9,4,3,2,11,8,12,10,1]=>[10,3,4,9,5,6,7,12,2,11,1,8]
[5,6,7,10,4,3,2,11,12,9,8,1]=>[8,3,4,9,5,6,7,12,10,2,11,1]
[5,6,8,9,4,3,10,7,2,1,12,11]=>[2,7,4,10,5,6,9,8,1,3,12,11]
[5,6,8,9,4,3,11,7,2,12,10,1]=>[10,7,4,12,5,6,9,8,2,11,1,3]
[5,6,8,10,4,3,11,7,12,9,2,1]=>[2,9,4,12,5,6,10,8,11,7,1,3]
[5,6,9,10,4,3,11,12,8,7,2,1]=>[2,7,4,8,5,6,12,10,9,3,11,1]
[5,7,8,9,4,10,6,3,2,1,12,11]=>[2,3,6,10,5,9,7,8,1,4,12,11]
[5,7,8,9,4,11,6,3,2,12,10,1]=>[10,3,6,12,5,9,7,8,2,11,1,4]
[5,7,8,10,4,11,6,3,12,9,2,1]=>[2,9,6,12,5,11,7,8,10,1,3,4]
[5,7,9,10,4,11,6,12,8,3,2,1]=>[2,3,8,12,5,10,7,11,9,6,1,4]
[5,8,9,10,4,11,12,7,6,3,2,1]=>[2,3,6,7,5,12,10,8,9,4,11,1]
[6,7,8,9,10,5,4,3,2,1,12,11]=>[2,3,4,5,10,6,7,8,9,1,12,11]
[6,7,8,9,11,5,4,3,2,12,10,1]=>[10,3,4,5,12,6,7,8,9,11,1,2]
[6,7,8,10,11,5,4,3,12,9,2,1]=>[2,9,4,5,12,6,7,8,11,10,1,3]
[6,7,9,10,11,5,4,12,8,3,2,1]=>[2,3,8,5,12,6,7,11,9,10,1,4]
[6,8,9,10,11,5,12,7,4,3,2,1]=>[2,3,4,7,12,6,11,8,9,10,1,5]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[2,3,4,5,6,12,7,8,9,10,11,1]
[11,10,9,8,7,6,5,4,3,1,12,2]=>[3,4,5,6,7,8,9,10,11,12,1,2]
[10,12,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,12,10,1,11]
[11,12,9,10,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,7,12,9,11,2]
[9,10,12,11,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,11,7,9,10,12,2]
[11,12,7,8,10,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,10,2,12,8,11,7]
[7,10,12,8,11,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,7,11,12,10,2,8]
[7,8,9,12,11,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,7,8,9,11,12,2]
[11,12,9,10,5,6,8,7,3,4,1,2]=>[4,1,7,3,8,2,10,6,12,9,11,5]
[9,10,12,11,5,6,8,7,3,4,1,2]=>[4,1,7,3,8,2,11,6,9,10,12,5]
[11,12,5,8,10,6,9,7,3,4,1,2]=>[4,1,7,3,9,12,10,6,2,8,11,5]
[5,10,12,8,11,6,9,7,3,4,1,2]=>[4,1,7,3,5,9,11,12,2,10,8,6]
[5,8,9,12,11,6,10,7,3,4,1,2]=>[4,1,7,3,5,10,11,8,9,2,12,6]
[11,12,5,6,7,10,9,8,3,4,1,2]=>[4,1,8,3,9,5,6,10,12,7,11,2]
[5,10,12,6,7,11,9,8,3,4,1,2]=>[4,1,8,3,5,9,6,11,12,10,7,2]
[5,6,9,12,7,11,10,8,3,4,1,2]=>[4,1,8,3,5,6,10,11,9,12,7,2]
[5,6,7,8,12,11,10,9,3,4,1,2]=>[4,1,9,3,5,6,7,8,10,11,12,2]
[11,12,9,10,7,8,3,4,6,5,1,2]=>[5,1,6,2,8,4,10,7,12,9,11,3]
[9,10,12,11,7,8,3,4,6,5,1,2]=>[5,1,6,2,8,4,11,7,9,10,12,3]
[11,12,7,8,10,9,3,4,6,5,1,2]=>[5,1,6,2,9,4,10,3,12,8,11,7]
[7,10,12,8,11,9,3,4,6,5,1,2]=>[5,1,6,2,9,4,7,11,12,10,3,8]
[7,8,9,12,11,10,3,4,6,5,1,2]=>[5,1,6,2,10,4,7,8,9,11,12,3]
[11,12,9,10,3,6,8,4,7,5,1,2]=>[5,1,7,10,8,4,2,6,12,9,11,3]
[9,10,12,11,3,6,8,4,7,5,1,2]=>[5,1,7,11,8,4,2,6,9,10,12,3]
[11,12,3,8,10,6,9,4,7,5,1,2]=>[5,1,7,12,9,10,2,4,6,8,11,3]
[3,10,12,8,11,6,9,4,7,5,1,2]=>[5,1,3,7,9,11,2,12,6,10,8,4]
[3,8,9,12,11,6,10,4,7,5,1,2]=>[5,1,3,7,10,11,2,8,9,6,12,4]
[11,12,3,6,7,10,9,4,8,5,1,2]=>[5,1,8,12,9,4,6,2,10,7,11,3]
[3,10,12,6,7,11,9,4,8,5,1,2]=>[5,1,3,8,9,11,2,6,12,10,7,4]
[3,6,9,12,7,11,10,4,8,5,1,2]=>[5,1,3,8,10,6,11,7,9,12,2,4]
[3,6,7,8,12,11,10,4,9,5,1,2]=>[5,1,3,9,10,6,7,8,2,11,12,4]
[11,12,9,10,3,4,5,8,7,6,1,2]=>[6,1,7,3,4,8,10,5,12,9,11,2]
[9,10,12,11,3,4,5,8,7,6,1,2]=>[6,1,7,3,4,8,11,5,9,10,12,2]
[11,12,3,8,10,4,5,9,7,6,1,2]=>[6,1,7,9,3,12,10,2,5,8,11,4]
[3,10,12,8,11,4,5,9,7,6,1,2]=>[6,1,3,7,4,9,11,12,5,10,8,2]
[3,8,9,12,11,4,5,10,7,6,1,2]=>[6,1,3,7,4,10,11,8,9,5,12,2]
[11,12,3,4,7,10,5,9,8,6,1,2]=>[6,1,8,2,9,12,4,10,3,7,11,5]
[3,10,12,4,7,11,5,9,8,6,1,2]=>[6,1,3,8,9,12,2,11,4,10,7,5]
[3,4,9,12,7,11,5,10,8,6,1,2]=>[6,1,3,4,8,10,11,12,9,7,5,2]
[3,4,7,8,12,11,5,10,9,6,1,2]=>[6,1,3,4,9,10,7,8,11,5,12,2]
[11,12,3,4,5,6,10,9,8,7,1,2]=>[7,1,8,2,4,5,9,10,12,6,11,3]
[3,10,12,4,5,6,11,9,8,7,1,2]=>[7,1,3,8,2,5,9,11,12,10,6,4]
[3,4,9,12,5,6,11,10,8,7,1,2]=>[7,1,3,4,8,2,10,11,9,12,6,5]
[3,4,5,8,12,6,11,10,9,7,1,2]=>[7,1,3,4,5,9,10,8,11,12,2,6]
[3,4,5,6,7,12,11,10,9,8,1,2]=>[8,1,3,4,5,6,7,9,10,11,12,2]
[11,12,9,10,7,8,5,6,1,2,4,3]=>[6,1,4,2,8,5,10,7,12,9,11,3]
[9,10,12,11,7,8,5,6,1,2,4,3]=>[6,1,4,2,8,5,11,7,9,10,12,3]
[11,12,7,8,10,9,5,6,1,2,4,3]=>[6,1,4,2,9,5,10,3,12,8,11,7]
[7,10,12,8,11,9,5,6,1,2,4,3]=>[6,1,4,2,9,5,7,11,12,10,3,8]
[7,8,9,12,11,10,5,6,1,2,4,3]=>[6,1,4,2,10,5,7,8,9,11,12,3]
[11,12,9,10,5,6,8,7,1,2,4,3]=>[7,1,4,2,8,3,10,6,12,9,11,5]
[9,10,12,11,5,6,8,7,1,2,4,3]=>[7,1,4,2,8,3,11,6,9,10,12,5]
[11,12,5,8,10,6,9,7,1,2,4,3]=>[7,1,4,2,9,12,10,6,3,8,11,5]
[5,10,12,8,11,6,9,7,1,2,4,3]=>[7,1,4,2,5,9,11,12,3,10,8,6]
[5,8,9,12,11,6,10,7,1,2,4,3]=>[7,1,4,2,5,10,11,8,9,3,12,6]
[11,12,5,6,7,10,9,8,1,2,4,3]=>[8,1,4,2,9,5,6,10,12,7,11,3]
[5,10,12,6,7,11,9,8,1,2,4,3]=>[8,1,4,2,5,9,6,11,12,10,7,3]
[5,6,9,12,7,11,10,8,1,2,4,3]=>[8,1,4,2,5,6,10,11,9,12,7,3]
[5,6,7,8,12,11,10,9,1,2,4,3]=>[9,1,4,2,5,6,7,8,10,11,12,3]
[11,12,9,10,7,8,1,4,6,2,5,3]=>[8,6,5,1,2,4,10,7,12,9,11,3]
[9,10,12,11,7,8,1,4,6,2,5,3]=>[8,6,5,1,2,4,11,7,9,10,12,3]
[11,12,7,8,10,9,1,4,6,2,5,3]=>[9,6,5,1,2,4,10,3,12,8,11,7]
[7,10,12,8,11,9,1,4,6,2,5,3]=>[9,6,5,1,2,4,7,11,12,10,3,8]
[7,8,9,12,11,10,1,4,6,2,5,3]=>[10,6,5,1,2,4,7,8,9,11,12,3]
[11,12,9,10,1,6,8,4,7,2,5,3]=>[10,7,5,8,2,1,4,6,12,9,11,3]
[9,10,12,11,1,6,8,4,7,2,5,3]=>[11,7,5,8,2,1,4,6,9,10,12,3]
[11,12,1,8,10,6,9,4,7,2,5,3]=>[12,7,5,9,2,10,4,1,6,8,11,3]
[1,10,12,8,11,6,9,4,7,2,5,3]=>[1,7,5,9,2,11,4,12,6,10,8,3]
[1,8,9,12,11,6,10,4,7,2,5,3]=>[1,7,5,10,2,11,4,8,9,6,12,3]
[11,12,1,6,7,10,9,4,8,2,5,3]=>[12,8,5,9,2,1,6,4,10,7,11,3]
[1,10,12,6,7,11,9,4,8,2,5,3]=>[1,8,5,9,2,11,4,6,12,10,7,3]
[1,6,9,12,7,11,10,4,8,2,5,3]=>[1,8,5,10,2,6,11,7,9,12,4,3]
[1,6,7,8,12,11,10,4,9,2,5,3]=>[1,9,5,10,2,6,7,8,4,11,12,3]
[11,12,9,10,1,4,5,8,7,2,6,3]=>[10,7,6,1,4,2,8,5,12,9,11,3]
[9,10,12,11,1,4,5,8,7,2,6,3]=>[11,7,6,1,4,2,8,5,9,10,12,3]
[11,12,1,8,10,4,5,9,7,2,6,3]=>[12,7,6,9,2,4,10,1,5,8,11,3]
[1,10,12,8,11,4,5,9,7,2,6,3]=>[1,7,6,9,2,4,11,12,5,10,8,3]
[1,8,9,12,11,4,5,10,7,2,6,3]=>[1,7,6,10,2,4,11,8,9,5,12,3]
[11,12,1,4,7,10,5,9,8,2,6,3]=>[12,8,6,1,9,5,4,10,2,7,11,3]
[1,10,12,4,7,11,5,9,8,2,6,3]=>[1,8,6,9,12,4,5,11,2,10,7,3]
[1,4,9,12,7,11,5,10,8,2,6,3]=>[1,8,6,4,10,5,11,12,9,7,2,3]
[1,4,7,8,12,11,5,10,9,2,6,3]=>[1,9,6,4,10,5,7,8,11,2,12,3]
[11,12,1,4,5,6,10,9,8,2,7,3]=>[12,8,7,1,4,5,2,9,10,6,11,3]
[1,10,12,4,5,6,11,9,8,2,7,3]=>[1,8,7,9,4,5,2,11,12,10,6,3]
[1,4,9,12,5,6,11,10,8,2,7,3]=>[1,8,7,4,10,5,2,11,9,12,6,3]
[1,4,5,8,12,6,11,10,9,2,7,3]=>[1,9,7,4,5,10,2,8,11,12,6,3]
[1,4,5,6,7,12,11,10,9,2,8,3]=>[1,9,8,4,5,6,7,2,10,11,12,3]
[11,12,9,10,7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,10,7,12,9,11,4]
[9,10,12,11,7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,11,7,9,10,12,4]
[11,12,7,8,10,9,1,2,3,6,5,4]=>[9,1,2,5,6,3,10,4,12,8,11,7]
[7,10,12,8,11,9,1,2,3,6,5,4]=>[9,1,2,5,6,3,7,11,12,10,4,8]
[7,8,9,12,11,10,1,2,3,6,5,4]=>[10,1,2,5,6,3,7,8,9,11,12,4]
[11,12,9,10,1,6,8,2,3,7,5,4]=>[10,8,2,5,7,1,3,6,12,9,11,4]
[9,10,12,11,1,6,8,2,3,7,5,4]=>[11,8,2,5,7,1,3,6,9,10,12,4]
[11,12,1,8,10,6,9,2,3,7,5,4]=>[12,9,2,5,7,10,3,1,6,8,11,4]
[1,10,12,8,11,6,9,2,3,7,5,4]=>[1,9,2,5,7,11,3,12,6,10,8,4]
[1,8,9,12,11,6,10,2,3,7,5,4]=>[1,10,2,5,7,11,3,8,9,6,12,4]
[11,12,1,6,7,10,9,2,3,8,5,4]=>[12,9,2,5,8,1,6,3,10,7,11,4]
[1,10,12,6,7,11,9,2,3,8,5,4]=>[1,9,2,5,8,11,3,6,12,10,7,4]
[1,6,9,12,7,11,10,2,3,8,5,4]=>[1,10,2,5,8,6,11,7,9,12,3,4]
[1,6,7,8,12,11,10,2,3,9,5,4]=>[1,10,2,5,9,6,7,8,3,11,12,4]
[11,12,9,10,1,2,5,8,3,7,6,4]=>[10,1,8,6,2,7,3,5,12,9,11,4]
[9,10,12,11,1,2,5,8,3,7,6,4]=>[11,1,8,6,2,7,3,5,9,10,12,4]
[11,12,1,8,10,2,5,9,3,7,6,4]=>[12,10,9,6,2,7,3,1,5,8,11,4]
[1,10,12,8,11,2,5,9,3,7,6,4]=>[1,11,9,6,2,7,3,12,5,10,8,4]
[1,8,9,12,11,2,5,10,3,7,6,4]=>[1,11,10,6,2,7,3,8,9,5,12,4]
[11,12,1,2,7,10,5,9,3,8,6,4]=>[12,1,9,6,8,10,2,3,4,7,11,5]
[1,10,12,2,7,11,5,9,3,8,6,4]=>[1,12,9,6,8,11,2,3,4,10,7,5]
[1,2,9,12,7,11,5,10,3,8,6,4]=>[1,2,10,6,8,11,12,3,9,4,7,5]
[1,2,7,8,12,11,5,10,3,9,6,4]=>[1,2,10,6,9,11,7,8,3,4,12,5]
[11,12,1,2,5,6,10,9,3,8,7,4]=>[12,1,9,7,2,5,8,3,10,6,11,4]
[1,10,12,2,5,6,11,9,3,8,7,4]=>[1,12,9,7,2,5,8,3,11,10,6,4]
[1,2,9,12,5,6,11,10,3,8,7,4]=>[1,2,10,7,8,3,11,4,9,12,6,5]
[1,2,5,8,12,6,11,10,3,9,7,4]=>[1,2,10,7,5,9,11,8,4,12,3,6]
[1,2,5,6,7,12,11,10,3,9,8,4]=>[1,2,10,8,5,6,7,9,3,11,12,4]
[11,12,9,10,1,2,3,4,8,7,6,5]=>[10,1,2,3,6,7,8,4,12,9,11,5]
[9,10,12,11,1,2,3,4,8,7,6,5]=>[11,1,2,3,6,7,8,4,9,10,12,5]
[11,12,1,8,10,2,3,4,9,7,6,5]=>[12,10,2,3,6,7,9,1,4,8,11,5]
[1,10,12,8,11,2,3,4,9,7,6,5]=>[1,11,2,3,6,7,9,12,4,10,8,5]
[1,8,9,12,11,2,3,4,10,7,6,5]=>[1,11,2,3,6,7,10,8,9,4,12,5]
[11,12,1,2,7,10,3,4,9,8,6,5]=>[12,1,10,3,6,8,2,9,4,7,11,5]
[1,10,12,2,7,11,3,4,9,8,6,5]=>[1,12,11,3,6,8,2,9,4,10,7,5]
[1,2,9,12,7,11,3,4,10,8,6,5]=>[1,2,11,3,6,8,10,12,9,4,5,7]
[1,2,7,8,12,11,3,4,10,9,6,5]=>[1,2,11,3,6,9,7,8,10,4,12,5]
[11,12,1,2,3,6,10,4,9,8,7,5]=>[12,1,2,10,7,3,8,9,4,6,11,5]
[1,10,12,2,3,6,11,4,9,8,7,5]=>[1,12,2,11,7,3,8,9,4,10,6,5]
[1,2,9,12,3,6,11,4,10,8,7,5]=>[1,2,12,11,7,3,8,10,9,4,6,5]
[1,2,3,8,12,6,11,4,10,9,7,5]=>[1,2,3,11,7,9,10,8,12,4,6,5]
[1,2,3,6,7,12,11,4,10,9,8,5]=>[1,2,3,11,8,6,7,9,10,4,12,5]
[11,12,1,2,3,4,5,10,9,8,7,6]=>[12,1,2,3,4,7,8,9,10,5,11,6]
[1,10,12,2,3,4,5,11,9,8,7,6]=>[1,12,2,3,4,7,8,9,11,10,5,6]
[1,2,9,12,3,4,5,11,10,8,7,6]=>[1,2,12,3,4,7,8,10,9,11,5,6]
[1,2,3,8,12,4,5,11,10,9,7,6]=>[1,2,3,12,4,7,9,8,10,11,5,6]
[1,2,3,4,7,12,5,11,10,9,8,6]=>[1,2,3,4,12,8,7,9,10,11,5,6]
[1,2,3,4,5,6,12,11,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,11,12,7]
[2,1,4,3,6,5,8,7,12,11,9,10]=>[2,1,4,3,6,5,8,7,11,9,12,10]
[2,1,4,3,6,5,10,9,7,8,12,11]=>[2,1,4,3,6,5,9,7,10,8,12,11]
[2,1,4,3,6,5,12,9,7,11,8,10]=>[2,1,4,3,6,5,9,12,11,7,8,10]
[2,1,4,3,6,5,12,11,10,7,8,9]=>[2,1,4,3,6,5,10,7,8,11,12,9]
[2,1,4,3,8,7,5,6,10,9,12,11]=>[2,1,4,3,7,5,8,6,10,9,12,11]
[2,1,4,3,8,7,5,6,12,11,9,10]=>[2,1,4,3,7,5,8,6,11,9,12,10]
[2,1,4,3,10,7,5,9,6,8,12,11]=>[2,1,4,3,7,10,9,5,6,8,12,11]
[2,1,4,3,12,7,5,9,6,11,8,10]=>[2,1,4,3,7,12,9,11,6,8,5,10]
[2,1,4,3,12,7,5,11,10,6,8,9]=>[2,1,4,3,7,12,10,5,8,11,6,9]
[2,1,4,3,10,9,8,5,6,7,12,11]=>[2,1,4,3,8,5,6,9,10,7,12,11]
[2,1,4,3,12,9,8,5,6,11,7,10]=>[2,1,4,3,8,5,9,12,11,7,6,10]
[2,1,4,3,12,11,8,5,10,6,7,9]=>[2,1,4,3,8,11,5,10,7,6,12,9]
[2,1,4,3,12,11,10,9,5,6,7,8]=>[2,1,4,3,9,5,6,7,10,11,12,8]
[2,1,6,5,3,4,8,7,10,9,12,11]=>[2,1,5,3,6,4,8,7,10,9,12,11]
[2,1,6,5,3,4,8,7,12,11,9,10]=>[2,1,5,3,6,4,8,7,11,9,12,10]
[2,1,6,5,3,4,10,9,7,8,12,11]=>[2,1,5,3,6,4,9,7,10,8,12,11]
[2,1,6,5,3,4,12,9,7,11,8,10]=>[2,1,5,3,6,4,9,12,11,7,8,10]
[2,1,6,5,3,4,12,11,10,7,8,9]=>[2,1,5,3,6,4,10,7,8,11,12,9]
[2,1,8,5,3,7,4,6,10,9,12,11]=>[2,1,5,8,7,3,4,6,10,9,12,11]
[2,1,8,5,3,7,4,6,12,11,9,10]=>[2,1,5,8,7,3,4,6,11,9,12,10]
[2,1,10,5,3,7,4,9,6,8,12,11]=>[2,1,5,10,7,9,4,6,3,8,12,11]
[2,1,12,5,3,7,4,9,6,11,8,10]=>[2,1,5,12,7,9,4,11,3,8,6,10]
[2,1,12,5,3,7,4,11,10,6,8,9]=>[2,1,5,12,7,10,4,6,8,11,3,9]
[2,1,10,5,3,9,8,4,6,7,12,11]=>[2,1,5,10,8,3,6,9,4,7,12,11]
[2,1,12,5,3,9,8,4,6,11,7,10]=>[2,1,5,12,8,3,9,11,4,6,7,10]
[2,1,12,5,3,11,8,4,10,6,7,9]=>[2,1,5,12,8,11,3,10,7,6,4,9]
[2,1,12,5,3,11,10,9,4,6,7,8]=>[2,1,5,12,9,3,6,7,10,11,4,8]
[2,1,8,7,6,3,4,5,10,9,12,11]=>[2,1,6,3,4,7,8,5,10,9,12,11]
[2,1,8,7,6,3,4,5,12,11,9,10]=>[2,1,6,3,4,7,8,5,11,9,12,10]
[2,1,10,7,6,3,4,9,5,8,12,11]=>[2,1,6,3,7,10,9,5,4,8,12,11]
[2,1,12,7,6,3,4,9,5,11,8,10]=>[2,1,6,3,7,12,9,11,4,8,5,10]
[2,1,12,7,6,3,4,11,10,5,8,9]=>[2,1,6,3,7,12,10,5,8,11,4,9]
[2,1,10,9,6,3,8,4,5,7,12,11]=>[2,1,6,9,3,8,5,4,10,7,12,11]
[2,1,12,9,6,3,8,4,5,11,7,10]=>[2,1,6,9,3,8,12,7,11,4,5,10]
[2,1,12,11,6,3,8,4,10,5,7,9]=>[2,1,6,11,8,10,3,4,7,5,12,9]
[2,1,12,11,6,3,10,9,4,5,7,8]=>[2,1,6,11,3,9,5,7,10,4,12,8]
[2,1,10,9,8,7,3,4,5,6,12,11]=>[2,1,7,3,4,5,8,9,10,6,12,11]
[2,1,12,9,8,7,3,4,5,11,6,10]=>[2,1,7,3,4,8,9,12,11,5,6,10]
[2,1,12,11,8,7,3,4,10,5,6,9]=>[2,1,7,3,8,5,11,10,6,4,12,9]
[2,1,12,11,10,7,3,9,4,5,6,8]=>[2,1,7,10,3,5,9,6,4,11,12,8]
[2,1,12,11,10,9,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,9,10,11,12,7]
[4,3,1,2,6,5,8,7,10,9,12,11]=>[3,1,4,2,6,5,8,7,10,9,12,11]
[4,3,1,2,6,5,8,7,12,11,9,10]=>[3,1,4,2,6,5,8,7,11,9,12,10]
[4,3,1,2,6,5,10,9,7,8,12,11]=>[3,1,4,2,6,5,9,7,10,8,12,11]
[4,3,1,2,6,5,12,9,7,11,8,10]=>[3,1,4,2,6,5,9,12,11,7,8,10]
[4,3,1,2,6,5,12,11,10,7,8,9]=>[3,1,4,2,6,5,10,7,8,11,12,9]
[4,3,1,2,8,7,5,6,10,9,12,11]=>[3,1,4,2,7,5,8,6,10,9,12,11]
[4,3,1,2,8,7,5,6,12,11,9,10]=>[3,1,4,2,7,5,8,6,11,9,12,10]
[4,3,1,2,10,7,5,9,6,8,12,11]=>[3,1,4,2,7,10,9,5,6,8,12,11]
[4,3,1,2,12,7,5,9,6,11,8,10]=>[3,1,4,2,7,12,9,11,6,8,5,10]
[4,3,1,2,12,7,5,11,10,6,8,9]=>[3,1,4,2,7,12,10,5,8,11,6,9]
[4,3,1,2,10,9,8,5,6,7,12,11]=>[3,1,4,2,8,5,6,9,10,7,12,11]
[4,3,1,2,12,9,8,5,6,11,7,10]=>[3,1,4,2,8,5,9,12,11,7,6,10]
[4,3,1,2,12,11,8,5,10,6,7,9]=>[3,1,4,2,8,11,5,10,7,6,12,9]
[4,3,1,2,12,11,10,9,5,6,7,8]=>[3,1,4,2,9,5,6,7,10,11,12,8]
[6,3,1,5,2,4,8,7,10,9,12,11]=>[3,6,5,1,2,4,8,7,10,9,12,11]
[6,3,1,5,2,4,8,7,12,11,9,10]=>[3,6,5,1,2,4,8,7,11,9,12,10]
[6,3,1,5,2,4,10,9,7,8,12,11]=>[3,6,5,1,2,4,9,7,10,8,12,11]
[6,3,1,5,2,4,12,9,7,11,8,10]=>[3,6,5,1,2,4,9,12,11,7,8,10]
[6,3,1,5,2,4,12,11,10,7,8,9]=>[3,6,5,1,2,4,10,7,8,11,12,9]
[8,3,1,5,2,7,4,6,10,9,12,11]=>[3,8,5,7,2,4,1,6,10,9,12,11]
[8,3,1,5,2,7,4,6,12,11,9,10]=>[3,8,5,7,2,4,1,6,11,9,12,10]
[10,3,1,5,2,7,4,9,6,8,12,11]=>[3,10,5,7,2,9,1,6,4,8,12,11]
[12,3,1,5,2,7,4,9,6,11,8,10]=>[3,12,5,7,2,9,1,11,4,8,6,10]
[12,3,1,5,2,7,4,11,10,6,8,9]=>[3,12,5,7,2,10,1,6,8,11,4,9]
[10,3,1,5,2,9,8,4,6,7,12,11]=>[3,10,5,8,2,4,6,9,1,7,12,11]
[12,3,1,5,2,9,8,4,6,11,7,10]=>[3,12,5,8,2,4,9,11,1,6,7,10]
[12,3,1,5,2,11,8,4,10,6,7,9]=>[3,12,5,8,2,11,4,10,7,6,1,9]
[12,3,1,5,2,11,10,9,4,6,7,8]=>[3,12,5,9,2,4,6,7,10,11,1,8]
[8,3,1,7,6,2,4,5,10,9,12,11]=>[3,8,6,1,4,7,2,5,10,9,12,11]
[8,3,1,7,6,2,4,5,12,11,9,10]=>[3,8,6,1,4,7,2,5,11,9,12,10]
[10,3,1,7,6,2,4,9,5,8,12,11]=>[3,10,6,1,7,9,2,4,5,8,12,11]
[12,3,1,7,6,2,4,9,5,11,8,10]=>[3,12,6,1,7,9,2,11,5,8,4,10]
[12,3,1,7,6,2,4,11,10,5,8,9]=>[3,12,6,1,7,10,2,4,8,11,5,9]
[10,3,1,9,6,2,8,4,5,7,12,11]=>[3,10,6,9,1,8,5,4,2,7,12,11]
[12,3,1,9,6,2,8,4,5,11,7,10]=>[3,12,6,9,1,8,11,4,2,7,5,10]
[12,3,1,11,6,2,8,4,10,5,7,9]=>[3,12,6,11,8,10,1,4,7,5,2,9]
[12,3,1,11,6,2,10,9,4,5,7,8]=>[3,12,6,11,1,9,5,7,10,4,2,8]
[10,3,1,9,8,7,2,4,5,6,12,11]=>[3,10,7,1,4,5,8,9,2,6,12,11]
[12,3,1,9,8,7,2,4,5,11,6,10]=>[3,12,7,1,4,8,9,11,2,6,5,10]
[12,3,1,11,8,7,2,4,10,5,6,9]=>[3,12,7,1,8,5,11,10,6,4,2,9]
[12,3,1,11,10,7,2,9,4,5,6,8]=>[3,12,7,10,1,5,9,6,4,11,2,8]
[12,3,1,11,10,9,8,2,4,5,6,7]=>[3,12,8,1,4,5,6,9,10,11,2,7]
[6,5,4,1,2,3,8,7,10,9,12,11]=>[4,1,2,5,6,3,8,7,10,9,12,11]
[6,5,4,1,2,3,8,7,12,11,9,10]=>[4,1,2,5,6,3,8,7,11,9,12,10]
[6,5,4,1,2,3,10,9,7,8,12,11]=>[4,1,2,5,6,3,9,7,10,8,12,11]
[6,5,4,1,2,3,12,9,7,11,8,10]=>[4,1,2,5,6,3,9,12,11,7,8,10]
[6,5,4,1,2,3,12,11,10,7,8,9]=>[4,1,2,5,6,3,10,7,8,11,12,9]
[8,5,4,1,2,7,3,6,10,9,12,11]=>[4,1,5,8,7,3,2,6,10,9,12,11]
[8,5,4,1,2,7,3,6,12,11,9,10]=>[4,1,5,8,7,3,2,6,11,9,12,10]
[10,5,4,1,2,7,3,9,6,8,12,11]=>[4,1,5,10,7,9,2,6,3,8,12,11]
[12,5,4,1,2,7,3,9,6,11,8,10]=>[4,1,5,12,7,9,2,11,3,8,6,10]
[12,5,4,1,2,7,3,11,10,6,8,9]=>[4,1,5,12,7,10,2,6,8,11,3,9]
[10,5,4,1,2,9,8,3,6,7,12,11]=>[4,1,5,10,8,3,6,9,2,7,12,11]
[12,5,4,1,2,9,8,3,6,11,7,10]=>[4,1,5,12,8,3,9,11,2,6,7,10]
[12,5,4,1,2,11,8,3,10,6,7,9]=>[4,1,5,12,8,11,3,10,7,6,2,9]
[12,5,4,1,2,11,10,9,3,6,7,8]=>[4,1,5,12,9,3,6,7,10,11,2,8]
[8,7,4,1,6,2,3,5,10,9,12,11]=>[4,7,1,6,3,2,8,5,10,9,12,11]
[8,7,4,1,6,2,3,5,12,11,9,10]=>[4,7,1,6,3,2,8,5,11,9,12,10]
[10,7,4,1,6,2,3,9,5,8,12,11]=>[4,7,1,6,10,5,9,2,3,8,12,11]
[12,7,4,1,6,2,3,9,5,11,8,10]=>[4,7,1,6,12,5,9,11,3,8,2,10]
[12,7,4,1,6,2,3,11,10,5,8,9]=>[4,7,1,6,12,5,10,2,8,11,3,9]
[10,9,4,1,6,2,8,3,5,7,12,11]=>[4,9,6,8,1,2,5,3,10,7,12,11]
[12,9,4,1,6,2,8,3,5,11,7,10]=>[4,9,6,8,1,2,12,7,11,3,5,10]
[12,11,4,1,6,2,8,3,10,5,7,9]=>[4,11,6,8,10,2,5,3,7,1,12,9]
[12,11,4,1,6,2,10,9,3,5,7,8]=>[4,11,6,9,1,2,5,7,10,3,12,8]
[10,9,4,1,8,7,2,3,5,6,12,11]=>[4,9,1,7,3,5,8,2,10,6,12,11]
[12,9,4,1,8,7,2,3,5,11,6,10]=>[4,9,2,7,3,8,12,1,11,5,6,10]
[12,11,4,1,8,7,2,3,10,5,6,9]=>[4,11,1,7,8,3,10,2,6,5,12,9]
[12,11,4,1,10,7,2,9,3,5,6,8]=>[4,11,7,10,3,5,9,6,1,2,12,8]
[12,11,4,1,10,9,8,2,3,5,6,7]=>[4,11,1,8,3,5,6,9,10,2,12,7]
[8,7,6,5,1,2,3,4,10,9,12,11]=>[5,1,2,3,6,7,8,4,10,9,12,11]
[8,7,6,5,1,2,3,4,12,11,9,10]=>[5,1,2,3,6,7,8,4,11,9,12,10]
[10,7,6,5,1,2,3,9,4,8,12,11]=>[5,1,2,6,7,10,9,3,4,8,12,11]
[12,7,6,5,1,2,3,9,4,11,8,10]=>[5,1,2,6,7,12,9,11,4,8,3,10]
[12,7,6,5,1,2,3,11,10,4,8,9]=>[5,1,2,6,7,12,10,3,8,11,4,9]
[10,9,6,5,1,2,8,3,4,7,12,11]=>[5,1,6,3,9,8,4,2,10,7,12,11]
[12,9,6,5,1,2,8,3,4,11,7,10]=>[5,1,6,3,9,8,12,7,11,2,4,10]
[12,11,6,5,1,2,8,3,10,4,7,9]=>[5,1,6,11,8,10,3,4,7,2,12,9]
[12,11,6,5,1,2,10,9,3,4,7,8]=>[5,1,6,3,11,9,4,7,10,2,12,8]
[10,9,8,5,1,7,2,3,4,6,12,11]=>[5,8,1,3,7,4,2,9,10,6,12,11]
[12,9,8,5,1,7,2,3,4,11,6,10]=>[5,8,1,3,7,9,2,12,11,6,4,10]
[12,11,8,5,1,7,2,3,10,4,6,9]=>[5,8,2,7,11,3,1,10,6,4,12,9]
[12,11,10,5,1,7,2,9,3,4,6,8]=>[5,10,7,1,9,4,2,6,3,11,12,8]
[12,11,10,5,1,9,8,2,3,4,6,7]=>[5,10,1,3,8,4,6,9,2,11,12,7]
[10,9,8,7,6,1,2,3,4,5,12,11]=>[6,1,2,3,4,7,8,9,10,5,12,11]
[12,9,8,7,6,1,2,3,4,11,5,10]=>[6,1,2,3,7,8,9,12,11,5,4,10]
[12,11,8,7,6,1,2,3,10,4,5,9]=>[6,1,2,7,3,8,11,10,5,4,12,9]
[12,11,10,7,6,1,2,9,3,4,5,8]=>[6,1,7,3,4,10,9,5,2,11,12,8]
[12,11,10,9,6,1,8,2,3,4,5,7]=>[6,9,1,3,4,8,5,2,10,11,12,7]
[12,11,10,9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,10,11,12,6]
[10,12,9,11,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,11,7,12,10,9,2]
[11,12,8,10,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,10,12,7,8,11,2]
[10,12,8,11,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,11,12,7,10,8,2]
[9,12,8,11,7,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,11,12,9,7,8,2]
[11,12,9,10,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,10,5,6,12,9,11,2]
[10,12,9,11,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,11,5,6,12,10,9,2]
[11,12,8,10,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,10,5,12,6,8,11,2]
[10,12,8,11,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,11,5,12,6,10,8,2]
[9,12,8,11,6,10,5,7,3,4,1,2]=>[4,1,7,3,10,11,5,12,9,6,8,2]
[11,12,7,10,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,10,12,5,6,7,11,2]
[10,12,7,11,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,11,12,5,6,10,7,2]
[9,12,7,11,6,10,5,8,3,4,1,2]=>[4,1,8,3,10,11,12,5,9,6,7,2]
[8,12,7,11,6,10,5,9,3,4,1,2]=>[4,1,9,3,10,11,12,8,5,6,7,2]
[11,12,9,10,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,10,7,12,9,11,2]
[10,12,9,11,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,11,7,12,10,9,2]
[11,12,8,10,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,10,12,7,8,11,2]
[10,12,8,11,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,11,12,7,10,8,2]
[9,12,8,11,7,10,4,6,3,5,1,2]=>[5,1,6,10,3,4,11,12,9,7,8,2]
[11,12,9,10,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,10,4,6,12,9,11,2]
[10,12,9,11,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,11,4,6,12,10,9,2]
[11,12,8,10,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,10,4,12,6,8,11,2]
[10,12,8,11,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,11,4,12,6,10,8,2]
[9,12,8,11,6,10,4,7,3,5,1,2]=>[5,1,7,10,3,11,4,12,9,6,8,2]
[11,12,7,10,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,10,12,4,6,7,11,2]
[10,12,7,11,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,11,12,4,6,10,7,2]
[9,12,7,11,6,10,4,8,3,5,1,2]=>[5,1,8,10,3,11,12,4,9,6,7,2]
[8,12,7,11,6,10,4,9,3,5,1,2]=>[5,1,9,10,3,11,12,8,4,6,7,2]
[11,12,9,10,5,8,4,7,3,6,1,2]=>[6,1,7,8,10,3,4,5,12,9,11,2]
[10,12,9,11,5,8,4,7,3,6,1,2]=>[6,1,7,8,11,3,4,5,12,10,9,2]
[11,12,8,10,5,9,4,7,3,6,1,2]=>[6,1,7,9,10,3,4,12,5,8,11,2]
[10,12,8,11,5,9,4,7,3,6,1,2]=>[6,1,7,9,11,3,4,12,5,10,8,2]
[9,12,8,11,5,10,4,7,3,6,1,2]=>[6,1,7,10,11,3,4,12,9,5,8,2]
[11,12,7,10,5,9,4,8,3,6,1,2]=>[6,1,8,9,10,3,12,4,5,7,11,2]
[10,12,7,11,5,9,4,8,3,6,1,2]=>[6,1,8,9,11,3,12,4,5,10,7,2]
[9,12,7,11,5,10,4,8,3,6,1,2]=>[6,1,8,10,11,3,12,4,9,5,7,2]
[8,12,7,11,5,10,4,9,3,6,1,2]=>[6,1,9,10,11,3,12,8,4,5,7,2]
[11,12,6,10,5,9,4,8,3,7,1,2]=>[7,1,8,9,10,12,3,4,5,6,11,2]
[10,12,6,11,5,9,4,8,3,7,1,2]=>[7,1,8,9,11,12,3,4,5,10,6,2]
[9,12,6,11,5,10,4,8,3,7,1,2]=>[7,1,8,10,11,12,3,4,9,5,6,2]
[8,12,6,11,5,10,4,9,3,7,1,2]=>[7,1,9,10,11,12,3,8,4,5,6,2]
[7,12,6,11,5,10,4,9,3,8,1,2]=>[8,1,9,10,11,12,7,3,4,5,6,2]
[11,12,9,10,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,10,7,12,9,11,3]
[10,12,9,11,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,11,7,12,10,9,3]
[11,12,8,10,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,10,12,7,8,11,3]
[10,12,8,11,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,11,12,7,10,8,3]
[9,12,8,11,7,10,5,6,2,4,1,3]=>[4,6,1,2,10,5,11,12,9,7,8,3]
[11,12,9,10,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,10,5,6,12,9,11,3]
[10,12,9,11,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,11,5,6,12,10,9,3]
[11,12,8,10,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,10,5,12,6,8,11,3]
[10,12,8,11,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,11,5,12,6,10,8,3]
[9,12,8,11,6,10,5,7,2,4,1,3]=>[4,7,1,2,10,11,5,12,9,6,8,3]
[11,12,7,10,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,10,12,5,6,7,11,3]
[10,12,7,11,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,11,12,5,6,10,7,3]
[9,12,7,11,6,10,5,8,2,4,1,3]=>[4,8,1,2,10,11,12,5,9,6,7,3]
[8,12,7,11,6,10,5,9,2,4,1,3]=>[4,9,1,2,10,11,12,8,5,6,7,3]
[11,12,9,10,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,10,7,12,9,11,3]
[10,12,9,11,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,11,7,12,10,9,3]
[11,12,8,10,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,10,12,7,8,11,3]
[10,12,8,11,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,11,12,7,10,8,3]
[9,12,8,11,7,10,4,6,2,5,1,3]=>[5,6,1,10,2,4,11,12,9,7,8,3]
[11,12,9,10,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,10,4,6,12,9,11,3]
[10,12,9,11,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,11,4,6,12,10,9,3]
[11,12,8,10,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,10,4,12,6,8,11,3]
[10,12,8,11,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,11,4,12,6,10,8,3]
[9,12,8,11,6,10,4,7,2,5,1,3]=>[5,7,1,10,2,11,4,12,9,6,8,3]
[11,12,7,10,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,10,12,4,6,7,11,3]
[10,12,7,11,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,11,12,4,6,10,7,3]
[9,12,7,11,6,10,4,8,2,5,1,3]=>[5,8,1,10,2,11,12,4,9,6,7,3]
[8,12,7,11,6,10,4,9,2,5,1,3]=>[5,9,1,10,2,11,12,8,4,6,7,3]
[11,12,9,10,5,8,4,7,2,6,1,3]=>[6,7,1,8,10,2,4,5,12,9,11,3]
[10,12,9,11,5,8,4,7,2,6,1,3]=>[6,7,1,8,11,2,4,5,12,10,9,3]
[11,12,8,10,5,9,4,7,2,6,1,3]=>[6,7,1,9,10,2,4,12,5,8,11,3]
[10,12,8,11,5,9,4,7,2,6,1,3]=>[6,7,1,9,11,2,4,12,5,10,8,3]
[9,12,8,11,5,10,4,7,2,6,1,3]=>[6,7,1,10,11,2,4,12,9,5,8,3]
[11,12,7,10,5,9,4,8,2,6,1,3]=>[6,8,1,9,10,2,12,4,5,7,11,3]
[10,12,7,11,5,9,4,8,2,6,1,3]=>[6,8,1,9,11,2,12,4,5,10,7,3]
[9,12,7,11,5,10,4,8,2,6,1,3]=>[6,8,1,10,11,2,12,4,9,5,7,3]
[8,12,7,11,5,10,4,9,2,6,1,3]=>[6,9,1,10,11,2,12,8,4,5,7,3]
[11,12,6,10,5,9,4,8,2,7,1,3]=>[7,8,1,9,10,12,2,4,5,6,11,3]
[10,12,6,11,5,9,4,8,2,7,1,3]=>[7,8,1,9,11,12,2,4,5,10,6,3]
[9,12,6,11,5,10,4,8,2,7,1,3]=>[7,8,1,10,11,12,2,4,9,5,6,3]
[8,12,6,11,5,10,4,9,2,7,1,3]=>[7,9,1,10,11,12,2,8,4,5,6,3]
[7,12,6,11,5,10,4,9,2,8,1,3]=>[8,9,1,10,11,12,7,2,4,5,6,3]
[11,12,9,10,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,10,7,12,9,11,4]
[10,12,9,11,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,11,7,12,10,9,4]
[11,12,8,10,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,10,12,7,8,11,4]
[10,12,8,11,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,11,12,7,10,8,4]
[9,12,8,11,7,10,3,6,2,5,1,4]=>[5,6,10,1,2,3,11,12,9,7,8,4]
[11,12,9,10,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,10,3,6,12,9,11,4]
[10,12,9,11,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,11,3,6,12,10,9,4]
[11,12,8,10,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,10,3,12,6,8,11,4]
[10,12,8,11,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,11,3,12,6,10,8,4]
[9,12,8,11,6,10,3,7,2,5,1,4]=>[5,7,10,1,2,11,3,12,9,6,8,4]
[11,12,7,10,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,10,12,3,6,7,11,4]
[10,12,7,11,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,11,12,3,6,10,7,4]
[9,12,7,11,6,10,3,8,2,5,1,4]=>[5,8,10,1,2,11,12,3,9,6,7,4]
[8,12,7,11,6,10,3,9,2,5,1,4]=>[5,9,10,1,2,11,12,8,3,6,7,4]
[11,12,9,10,5,8,3,7,2,6,1,4]=>[6,7,8,1,10,2,3,5,12,9,11,4]
[10,12,9,11,5,8,3,7,2,6,1,4]=>[6,7,8,1,11,2,3,5,12,10,9,4]
[11,12,8,10,5,9,3,7,2,6,1,4]=>[6,7,9,1,10,2,3,12,5,8,11,4]
[10,12,8,11,5,9,3,7,2,6,1,4]=>[6,7,9,1,11,2,3,12,5,10,8,4]
[9,12,8,11,5,10,3,7,2,6,1,4]=>[6,7,10,1,11,2,3,12,9,5,8,4]
[11,12,7,10,5,9,3,8,2,6,1,4]=>[6,8,9,1,10,2,12,3,5,7,11,4]
[10,12,7,11,5,9,3,8,2,6,1,4]=>[6,8,9,1,11,2,12,3,5,10,7,4]
[9,12,7,11,5,10,3,8,2,6,1,4]=>[6,8,10,1,11,2,12,3,9,5,7,4]
[8,12,7,11,5,10,3,9,2,6,1,4]=>[6,9,10,1,11,2,12,8,3,5,7,4]
[11,12,6,10,5,9,3,8,2,7,1,4]=>[7,8,9,1,10,12,2,3,5,6,11,4]
[10,12,6,11,5,9,3,8,2,7,1,4]=>[7,8,9,1,11,12,2,3,5,10,6,4]
[9,12,6,11,5,10,3,8,2,7,1,4]=>[7,8,10,1,11,12,2,3,9,5,6,4]
[8,12,6,11,5,10,3,9,2,7,1,4]=>[7,9,10,1,11,12,2,8,3,5,6,4]
[7,12,6,11,5,10,3,9,2,8,1,4]=>[8,9,10,1,11,12,7,2,3,5,6,4]
[11,12,9,10,4,8,3,7,2,6,1,5]=>[6,7,8,10,1,2,3,4,12,9,11,5]
[10,12,9,11,4,8,3,7,2,6,1,5]=>[6,7,8,11,1,2,3,4,12,10,9,5]
[11,12,8,10,4,9,3,7,2,6,1,5]=>[6,7,9,10,1,2,3,12,4,8,11,5]
[10,12,8,11,4,9,3,7,2,6,1,5]=>[6,7,9,11,1,2,3,12,4,10,8,5]
[9,12,8,11,4,10,3,7,2,6,1,5]=>[6,7,10,11,1,2,3,12,9,4,8,5]
[11,12,7,10,4,9,3,8,2,6,1,5]=>[6,8,9,10,1,2,12,3,4,7,11,5]
[10,12,7,11,4,9,3,8,2,6,1,5]=>[6,8,9,11,1,2,12,3,4,10,7,5]
[9,12,7,11,4,10,3,8,2,6,1,5]=>[6,8,10,11,1,2,12,3,9,4,7,5]
[8,12,7,11,4,10,3,9,2,6,1,5]=>[6,9,10,11,1,2,12,8,3,4,7,5]
[11,12,6,10,4,9,3,8,2,7,1,5]=>[7,8,9,10,1,12,2,3,4,6,11,5]
[10,12,6,11,4,9,3,8,2,7,1,5]=>[7,8,9,11,1,12,2,3,4,10,6,5]
[9,12,6,11,4,10,3,8,2,7,1,5]=>[7,8,10,11,1,12,2,3,9,4,6,5]
[8,12,6,11,4,10,3,9,2,7,1,5]=>[7,9,10,11,1,12,2,8,3,4,6,5]
[7,12,6,11,4,10,3,9,2,8,1,5]=>[8,9,10,11,1,12,7,2,3,4,6,5]
[11,12,5,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,12,1,2,3,4,5,11,6]
[10,12,5,11,4,9,3,8,2,7,1,6]=>[7,8,9,11,12,1,2,3,4,10,5,6]
[9,12,5,11,4,10,3,8,2,7,1,6]=>[7,8,10,11,12,1,2,3,9,4,5,6]
[8,12,5,11,4,10,3,9,2,7,1,6]=>[7,9,10,11,12,1,2,8,3,4,5,6]
[7,12,5,11,4,10,3,9,2,8,1,6]=>[8,9,10,11,12,1,7,2,3,4,5,6]
[6,12,5,11,4,10,3,9,2,8,1,7]=>[8,9,10,11,12,6,1,2,3,4,5,7]
[11,9,7,5,3,1,12,10,8,6,4,2]=>[3,5,4,7,6,9,8,11,10,12,1,2]
[10,9,7,5,3,1,12,11,8,6,4,2]=>[3,5,4,7,6,9,8,10,11,1,12,2]
[11,8,7,5,3,1,12,10,9,6,4,2]=>[3,5,4,7,6,8,11,9,10,12,1,2]
[10,8,7,5,3,1,12,11,9,6,4,2]=>[3,5,4,7,6,8,10,9,11,1,12,2]
[9,8,7,5,3,1,12,11,10,6,4,2]=>[3,5,4,7,6,8,9,10,1,11,12,2]
[11,9,6,5,3,1,12,10,8,7,4,2]=>[3,5,4,6,9,7,8,11,10,12,1,2]
[10,9,6,5,3,1,12,11,8,7,4,2]=>[3,5,4,6,9,7,8,10,11,1,12,2]
[11,8,6,5,3,1,12,10,9,7,4,2]=>[3,5,4,6,8,7,11,9,10,12,1,2]
[10,8,6,5,3,1,12,11,9,7,4,2]=>[3,5,4,6,8,7,10,9,11,1,12,2]
[9,8,6,5,3,1,12,11,10,7,4,2]=>[3,5,4,6,8,7,9,10,1,11,12,2]
[11,7,6,5,3,1,12,10,9,8,4,2]=>[3,5,4,6,7,11,8,9,10,12,1,2]
[10,7,6,5,3,1,12,11,9,8,4,2]=>[3,5,4,6,7,10,8,9,11,1,12,2]
[9,7,6,5,3,1,12,11,10,8,4,2]=>[3,5,4,6,7,9,8,10,1,11,12,2]
[8,7,6,5,3,1,12,11,10,9,4,2]=>[3,5,4,6,7,8,9,1,10,11,12,2]
[11,9,7,4,3,1,12,10,8,6,5,2]=>[3,4,7,5,6,9,8,11,10,12,1,2]
[10,9,7,4,3,1,12,11,8,6,5,2]=>[3,4,7,5,6,9,8,10,11,1,12,2]
[11,8,7,4,3,1,12,10,9,6,5,2]=>[3,4,7,5,6,8,11,9,10,12,1,2]
[10,8,7,4,3,1,12,11,9,6,5,2]=>[3,4,7,5,6,8,10,9,11,1,12,2]
[9,8,7,4,3,1,12,11,10,6,5,2]=>[3,4,7,5,6,8,9,10,1,11,12,2]
[11,9,6,4,3,1,12,10,8,7,5,2]=>[3,4,6,5,9,7,8,11,10,12,1,2]
[10,9,6,4,3,1,12,11,8,7,5,2]=>[3,4,6,5,9,7,8,10,11,1,12,2]
[11,8,6,4,3,1,12,10,9,7,5,2]=>[3,4,6,5,8,7,11,9,10,12,1,2]
[10,8,6,4,3,1,12,11,9,7,5,2]=>[3,4,6,5,8,7,10,9,11,1,12,2]
[9,8,6,4,3,1,12,11,10,7,5,2]=>[3,4,6,5,8,7,9,10,1,11,12,2]
[11,7,6,4,3,1,12,10,9,8,5,2]=>[3,4,6,5,7,11,8,9,10,12,1,2]
[10,7,6,4,3,1,12,11,9,8,5,2]=>[3,4,6,5,7,10,8,9,11,1,12,2]
[9,7,6,4,3,1,12,11,10,8,5,2]=>[3,4,6,5,7,9,8,10,1,11,12,2]
[8,7,6,4,3,1,12,11,10,9,5,2]=>[3,4,6,5,7,8,9,1,10,11,12,2]
[11,9,5,4,3,1,12,10,8,7,6,2]=>[3,4,5,9,6,7,8,11,10,12,1,2]
[10,9,5,4,3,1,12,11,8,7,6,2]=>[3,4,5,9,6,7,8,10,11,1,12,2]
[11,8,5,4,3,1,12,10,9,7,6,2]=>[3,4,5,8,6,7,11,9,10,12,1,2]
[10,8,5,4,3,1,12,11,9,7,6,2]=>[3,4,5,8,6,7,10,9,11,1,12,2]
[9,8,5,4,3,1,12,11,10,7,6,2]=>[3,4,5,8,6,7,9,10,1,11,12,2]
[11,7,5,4,3,1,12,10,9,8,6,2]=>[3,4,5,7,6,11,8,9,10,12,1,2]
[10,7,5,4,3,1,12,11,9,8,6,2]=>[3,4,5,7,6,10,8,9,11,1,12,2]
[9,7,5,4,3,1,12,11,10,8,6,2]=>[3,4,5,7,6,9,8,10,1,11,12,2]
[8,7,5,4,3,1,12,11,10,9,6,2]=>[3,4,5,7,6,8,9,1,10,11,12,2]
[11,6,5,4,3,1,12,10,9,8,7,2]=>[3,4,5,6,11,7,8,9,10,12,1,2]
[10,6,5,4,3,1,12,11,9,8,7,2]=>[3,4,5,6,10,7,8,9,11,1,12,2]
[9,6,5,4,3,1,12,11,10,8,7,2]=>[3,4,5,6,9,7,8,10,1,11,12,2]
[8,6,5,4,3,1,12,11,10,9,7,2]=>[3,4,5,6,8,7,9,1,10,11,12,2]
[7,6,5,4,3,1,12,11,10,9,8,2]=>[3,4,5,6,7,8,1,9,10,11,12,2]
[11,9,7,5,2,1,12,10,8,6,4,3]=>[2,5,4,7,6,9,8,11,10,12,3,1]
[10,9,7,5,2,1,12,11,8,6,4,3]=>[2,5,4,7,6,9,8,10,11,3,12,1]
[11,8,7,5,2,1,12,10,9,6,4,3]=>[2,5,4,7,6,8,11,9,10,12,3,1]
[10,8,7,5,2,1,12,11,9,6,4,3]=>[2,5,4,7,6,8,10,9,11,3,12,1]
[9,8,7,5,2,1,12,11,10,6,4,3]=>[2,5,4,7,6,8,9,10,3,11,12,1]
[11,9,6,5,2,1,12,10,8,7,4,3]=>[2,5,4,6,9,7,8,11,10,12,3,1]
[10,9,6,5,2,1,12,11,8,7,4,3]=>[2,5,4,6,9,7,8,10,11,3,12,1]
[11,8,6,5,2,1,12,10,9,7,4,3]=>[2,5,4,6,8,7,11,9,10,12,3,1]
[10,8,6,5,2,1,12,11,9,7,4,3]=>[2,5,4,6,8,7,10,9,11,3,12,1]
[9,8,6,5,2,1,12,11,10,7,4,3]=>[2,5,4,6,8,7,9,10,3,11,12,1]
[11,7,6,5,2,1,12,10,9,8,4,3]=>[2,5,4,6,7,11,8,9,10,12,3,1]
[10,7,6,5,2,1,12,11,9,8,4,3]=>[2,5,4,6,7,10,8,9,11,3,12,1]
[9,7,6,5,2,1,12,11,10,8,4,3]=>[2,5,4,6,7,9,8,10,3,11,12,1]
[8,7,6,5,2,1,12,11,10,9,4,3]=>[2,5,4,6,7,8,9,3,10,11,12,1]
[11,9,7,4,2,1,12,10,8,6,5,3]=>[2,4,7,5,6,9,8,11,10,12,3,1]
[10,9,7,4,2,1,12,11,8,6,5,3]=>[2,4,7,5,6,9,8,10,11,3,12,1]
[11,8,7,4,2,1,12,10,9,6,5,3]=>[2,4,7,5,6,8,11,9,10,12,3,1]
[10,8,7,4,2,1,12,11,9,6,5,3]=>[2,4,7,5,6,8,10,9,11,3,12,1]
[9,8,7,4,2,1,12,11,10,6,5,3]=>[2,4,7,5,6,8,9,10,3,11,12,1]
[11,9,6,4,2,1,12,10,8,7,5,3]=>[2,4,6,5,9,7,8,11,10,12,3,1]
[10,9,6,4,2,1,12,11,8,7,5,3]=>[2,4,6,5,9,7,8,10,11,3,12,1]
[11,8,6,4,2,1,12,10,9,7,5,3]=>[2,4,6,5,8,7,11,9,10,12,3,1]
[10,8,6,4,2,1,12,11,9,7,5,3]=>[2,4,6,5,8,7,10,9,11,3,12,1]
[9,8,6,4,2,1,12,11,10,7,5,3]=>[2,4,6,5,8,7,9,10,3,11,12,1]
[11,7,6,4,2,1,12,10,9,8,5,3]=>[2,4,6,5,7,11,8,9,10,12,3,1]
[10,7,6,4,2,1,12,11,9,8,5,3]=>[2,4,6,5,7,10,8,9,11,3,12,1]
[9,7,6,4,2,1,12,11,10,8,5,3]=>[2,4,6,5,7,9,8,10,3,11,12,1]
[8,7,6,4,2,1,12,11,10,9,5,3]=>[2,4,6,5,7,8,9,3,10,11,12,1]
[11,9,5,4,2,1,12,10,8,7,6,3]=>[2,4,5,9,6,7,8,11,10,12,3,1]
[10,9,5,4,2,1,12,11,8,7,6,3]=>[2,4,5,9,6,7,8,10,11,3,12,1]
[11,8,5,4,2,1,12,10,9,7,6,3]=>[2,4,5,8,6,7,11,9,10,12,3,1]
[10,8,5,4,2,1,12,11,9,7,6,3]=>[2,4,5,8,6,7,10,9,11,3,12,1]
[9,8,5,4,2,1,12,11,10,7,6,3]=>[2,4,5,8,6,7,9,10,3,11,12,1]
[11,7,5,4,2,1,12,10,9,8,6,3]=>[2,4,5,7,6,11,8,9,10,12,3,1]
[10,7,5,4,2,1,12,11,9,8,6,3]=>[2,4,5,7,6,10,8,9,11,3,12,1]
[9,7,5,4,2,1,12,11,10,8,6,3]=>[2,4,5,7,6,9,8,10,3,11,12,1]
[8,7,5,4,2,1,12,11,10,9,6,3]=>[2,4,5,7,6,8,9,3,10,11,12,1]
[11,6,5,4,2,1,12,10,9,8,7,3]=>[2,4,5,6,11,7,8,9,10,12,3,1]
[10,6,5,4,2,1,12,11,9,8,7,3]=>[2,4,5,6,10,7,8,9,11,3,12,1]
[9,6,5,4,2,1,12,11,10,8,7,3]=>[2,4,5,6,9,7,8,10,3,11,12,1]
[8,6,5,4,2,1,12,11,10,9,7,3]=>[2,4,5,6,8,7,9,3,10,11,12,1]
[7,6,5,4,2,1,12,11,10,9,8,3]=>[2,4,5,6,7,8,3,9,10,11,12,1]
[11,9,7,3,2,1,12,10,8,6,5,4]=>[2,3,7,5,6,9,8,11,10,12,1,4]
[10,9,7,3,2,1,12,11,8,6,5,4]=>[2,3,7,5,6,9,8,10,11,1,12,4]
[11,8,7,3,2,1,12,10,9,6,5,4]=>[2,3,7,5,6,8,11,9,10,12,1,4]
[10,8,7,3,2,1,12,11,9,6,5,4]=>[2,3,7,5,6,8,10,9,11,1,12,4]
[9,8,7,3,2,1,12,11,10,6,5,4]=>[2,3,7,5,6,8,9,10,1,11,12,4]
[11,9,6,3,2,1,12,10,8,7,5,4]=>[2,3,6,5,9,7,8,11,10,12,1,4]
[10,9,6,3,2,1,12,11,8,7,5,4]=>[2,3,6,5,9,7,8,10,11,1,12,4]
[11,8,6,3,2,1,12,10,9,7,5,4]=>[2,3,6,5,8,7,11,9,10,12,1,4]
[10,8,6,3,2,1,12,11,9,7,5,4]=>[2,3,6,5,8,7,10,9,11,1,12,4]
[9,8,6,3,2,1,12,11,10,7,5,4]=>[2,3,6,5,8,7,9,10,1,11,12,4]
[11,7,6,3,2,1,12,10,9,8,5,4]=>[2,3,6,5,7,11,8,9,10,12,1,4]
[10,7,6,3,2,1,12,11,9,8,5,4]=>[2,3,6,5,7,10,8,9,11,1,12,4]
[9,7,6,3,2,1,12,11,10,8,5,4]=>[2,3,6,5,7,9,8,10,1,11,12,4]
[8,7,6,3,2,1,12,11,10,9,5,4]=>[2,3,6,5,7,8,9,1,10,11,12,4]
[11,9,5,3,2,1,12,10,8,7,6,4]=>[2,3,5,9,6,7,8,11,10,12,1,4]
[10,9,5,3,2,1,12,11,8,7,6,4]=>[2,3,5,9,6,7,8,10,11,1,12,4]
[11,8,5,3,2,1,12,10,9,7,6,4]=>[2,3,5,8,6,7,11,9,10,12,1,4]
[10,8,5,3,2,1,12,11,9,7,6,4]=>[2,3,5,8,6,7,10,9,11,1,12,4]
[9,8,5,3,2,1,12,11,10,7,6,4]=>[2,3,5,8,6,7,9,10,1,11,12,4]
[11,7,5,3,2,1,12,10,9,8,6,4]=>[2,3,5,7,6,11,8,9,10,12,1,4]
[10,7,5,3,2,1,12,11,9,8,6,4]=>[2,3,5,7,6,10,8,9,11,1,12,4]
[9,7,5,3,2,1,12,11,10,8,6,4]=>[2,3,5,7,6,9,8,10,1,11,12,4]
[8,7,5,3,2,1,12,11,10,9,6,4]=>[2,3,5,7,6,8,9,1,10,11,12,4]
[11,6,5,3,2,1,12,10,9,8,7,4]=>[2,3,5,6,11,7,8,9,10,12,1,4]
[10,6,5,3,2,1,12,11,9,8,7,4]=>[2,3,5,6,10,7,8,9,11,1,12,4]
[9,6,5,3,2,1,12,11,10,8,7,4]=>[2,3,5,6,9,7,8,10,1,11,12,4]
[8,6,5,3,2,1,12,11,10,9,7,4]=>[2,3,5,6,8,7,9,1,10,11,12,4]
[7,6,5,3,2,1,12,11,10,9,8,4]=>[2,3,5,6,7,8,1,9,10,11,12,4]
[11,9,4,3,2,1,12,10,8,7,6,5]=>[2,3,4,9,6,7,8,11,10,12,5,1]
[10,9,4,3,2,1,12,11,8,7,6,5]=>[2,3,4,9,6,7,8,10,11,5,12,1]
[11,8,4,3,2,1,12,10,9,7,6,5]=>[2,3,4,8,6,7,11,9,10,12,5,1]
[10,8,4,3,2,1,12,11,9,7,6,5]=>[2,3,4,8,6,7,10,9,11,5,12,1]
[9,8,4,3,2,1,12,11,10,7,6,5]=>[2,3,4,8,6,7,9,10,5,11,12,1]
[11,7,4,3,2,1,12,10,9,8,6,5]=>[2,3,4,7,6,11,8,9,10,12,5,1]
[10,7,4,3,2,1,12,11,9,8,6,5]=>[2,3,4,7,6,10,8,9,11,5,12,1]
[9,7,4,3,2,1,12,11,10,8,6,5]=>[2,3,4,7,6,9,8,10,5,11,12,1]
[8,7,4,3,2,1,12,11,10,9,6,5]=>[2,3,4,7,6,8,9,5,10,11,12,1]
[11,6,4,3,2,1,12,10,9,8,7,5]=>[2,3,4,6,11,7,8,9,10,12,5,1]
[10,6,4,3,2,1,12,11,9,8,7,5]=>[2,3,4,6,10,7,8,9,11,5,12,1]
[9,6,4,3,2,1,12,11,10,8,7,5]=>[2,3,4,6,9,7,8,10,5,11,12,1]
[8,6,4,3,2,1,12,11,10,9,7,5]=>[2,3,4,6,8,7,9,5,10,11,12,1]
[7,6,4,3,2,1,12,11,10,9,8,5]=>[2,3,4,6,7,8,5,9,10,11,12,1]
[11,5,4,3,2,1,12,10,9,8,7,6]=>[2,3,4,5,11,7,8,9,10,12,1,6]
[10,5,4,3,2,1,12,11,9,8,7,6]=>[2,3,4,5,10,7,8,9,11,1,12,6]
[9,5,4,3,2,1,12,11,10,8,7,6]=>[2,3,4,5,9,7,8,10,1,11,12,6]
[8,5,4,3,2,1,12,11,10,9,7,6]=>[2,3,4,5,8,7,9,1,10,11,12,6]
[7,5,4,3,2,1,12,11,10,9,8,6]=>[2,3,4,5,7,8,1,9,10,11,12,6]
[7,1,8,2,9,3,10,4,11,5,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]
[7,1,8,2,9,3,10,4,11,12,5,6]=>[7,8,9,10,12,5,1,2,3,4,11,6]
[7,1,8,2,9,3,10,11,4,5,12,6]=>[7,8,9,11,4,12,1,2,3,10,5,6]
[7,1,8,2,9,3,10,11,4,12,5,6]=>[7,8,9,11,12,5,1,2,3,10,4,6]
[7,1,8,2,9,3,10,11,12,4,5,6]=>[7,8,9,12,4,5,1,2,3,10,11,6]
[7,1,8,2,9,10,3,4,11,5,12,6]=>[7,8,10,3,11,12,1,2,9,4,5,6]
[7,1,8,2,9,10,3,4,11,12,5,6]=>[7,8,10,3,12,5,1,2,9,4,11,6]
[7,1,8,2,9,10,3,11,4,5,12,6]=>[7,8,10,11,4,12,1,2,9,3,5,6]
[7,1,8,2,9,10,3,11,4,12,5,6]=>[7,8,10,11,12,5,1,2,9,3,4,6]
[7,1,8,2,9,10,3,11,12,4,5,6]=>[7,8,10,12,4,5,1,2,9,3,11,6]
[7,1,8,2,9,10,11,3,4,5,12,6]=>[7,8,11,3,4,12,1,2,9,10,5,6]
[7,1,8,2,9,10,11,3,4,12,5,6]=>[7,8,11,3,12,5,1,2,9,10,4,6]
[7,1,8,2,9,10,11,3,12,4,5,6]=>[7,8,11,12,4,5,1,2,9,10,3,6]
[7,1,8,2,9,10,11,12,3,4,5,6]=>[7,8,12,3,4,5,1,2,9,10,11,6]
[7,1,8,9,2,3,10,4,11,5,12,6]=>[7,9,2,10,11,12,1,8,3,4,5,6]
[7,1,8,9,2,3,10,4,11,12,5,6]=>[7,9,2,10,12,5,1,8,3,4,11,6]
[7,1,8,9,2,3,10,11,4,5,12,6]=>[7,9,2,11,4,12,1,8,3,10,5,6]
[7,1,8,9,2,3,10,11,4,12,5,6]=>[7,9,2,11,12,5,1,8,3,10,4,6]
[7,1,8,9,2,3,10,11,12,4,5,6]=>[7,9,2,12,4,5,1,8,3,10,11,6]
[7,1,8,9,2,10,3,4,11,5,12,6]=>[7,9,10,3,11,12,1,8,2,4,5,6]
[7,1,8,9,2,10,3,4,11,12,5,6]=>[7,9,10,3,12,5,1,8,2,4,11,6]
[7,1,8,9,2,10,3,11,4,5,12,6]=>[7,9,10,11,4,12,1,8,2,3,5,6]
[7,1,8,9,2,10,3,11,4,12,5,6]=>[7,9,10,11,12,5,1,8,2,3,4,6]
[7,1,8,9,2,10,3,11,12,4,5,6]=>[7,9,10,12,4,5,1,8,2,3,11,6]
[7,1,8,9,2,10,11,3,4,5,12,6]=>[7,9,11,3,4,12,1,8,2,10,5,6]
[7,1,8,9,2,10,11,3,4,12,5,6]=>[7,9,11,3,12,5,1,8,2,10,4,6]
[7,1,8,9,2,10,11,3,12,4,5,6]=>[7,9,11,12,4,5,1,8,2,10,3,6]
[7,1,8,9,2,10,11,12,3,4,5,6]=>[7,9,12,3,4,5,1,8,2,10,11,6]
[7,1,8,9,10,2,3,4,11,5,12,6]=>[7,10,2,3,11,12,1,8,9,4,5,6]
[7,1,8,9,10,2,3,4,11,12,5,6]=>[7,10,2,3,12,5,1,8,9,4,11,6]
[7,1,8,9,10,2,3,11,4,5,12,6]=>[7,10,2,11,4,12,1,8,9,3,5,6]
[7,1,8,9,10,2,3,11,4,12,5,6]=>[7,10,2,11,12,5,1,8,9,3,4,6]
[7,1,8,9,10,2,3,11,12,4,5,6]=>[7,10,2,12,4,5,1,8,9,3,11,6]
[7,1,8,9,10,2,11,3,4,5,12,6]=>[7,10,11,3,4,12,1,8,9,2,5,6]
[7,1,8,9,10,2,11,3,4,12,5,6]=>[7,10,11,3,12,5,1,8,9,2,4,6]
[7,1,8,9,10,2,11,3,12,4,5,6]=>[7,10,11,12,4,5,1,8,9,2,3,6]
[7,1,8,9,10,2,11,12,3,4,5,6]=>[7,10,12,3,4,5,1,8,9,2,11,6]
[7,1,8,9,10,11,2,3,4,5,12,6]=>[7,11,2,3,4,12,1,8,9,10,5,6]
[7,1,8,9,10,11,2,3,4,12,5,6]=>[7,11,2,3,12,5,1,8,9,10,4,6]
[7,1,8,9,10,11,2,3,12,4,5,6]=>[7,11,2,12,4,5,1,8,9,10,3,6]
[7,1,8,9,10,11,2,12,3,4,5,6]=>[7,11,12,3,4,5,1,8,9,10,2,6]
[7,1,8,9,10,11,12,2,3,4,5,6]=>[7,12,2,3,4,5,1,8,9,10,11,6]
[7,8,1,2,9,3,10,4,11,5,12,6]=>[8,1,9,10,11,12,7,2,3,4,5,6]
[7,8,1,2,9,3,10,4,11,12,5,6]=>[8,1,9,10,12,5,7,2,3,4,11,6]
[7,8,1,2,9,3,10,11,4,5,12,6]=>[8,1,9,11,4,12,7,2,3,10,5,6]
[7,8,1,2,9,3,10,11,4,12,5,6]=>[8,1,9,11,12,5,7,2,3,10,4,6]
[7,8,1,2,9,3,10,11,12,4,5,6]=>[8,1,9,12,4,5,7,2,3,10,11,6]
[7,8,1,2,9,10,3,4,11,5,12,6]=>[8,1,10,3,11,12,7,2,9,4,5,6]
[7,8,1,2,9,10,3,4,11,12,5,6]=>[8,1,10,3,12,5,7,2,9,4,11,6]
[7,8,1,2,9,10,3,11,4,5,12,6]=>[8,1,10,11,4,12,7,2,9,3,5,6]
[7,8,1,2,9,10,3,11,4,12,5,6]=>[8,1,10,11,12,5,7,2,9,3,4,6]
[7,8,1,2,9,10,3,11,12,4,5,6]=>[8,1,10,12,4,5,7,2,9,3,11,6]
[7,8,1,2,9,10,11,3,4,5,12,6]=>[8,1,11,3,4,12,7,2,9,10,5,6]
[7,8,1,2,9,10,11,3,4,12,5,6]=>[8,1,11,3,12,5,7,2,9,10,4,6]
[7,8,1,2,9,10,11,3,12,4,5,6]=>[8,1,11,12,4,5,7,2,9,10,3,6]
[7,8,1,2,9,10,11,12,3,4,5,6]=>[8,1,12,3,4,5,7,2,9,10,11,6]
[7,8,1,9,2,3,10,4,11,5,12,6]=>[8,9,2,10,11,12,7,1,3,4,5,6]
[7,8,1,9,2,3,10,4,11,12,5,6]=>[8,9,2,10,12,5,7,1,3,4,11,6]
[7,8,1,9,2,3,10,11,4,5,12,6]=>[8,9,2,11,4,12,7,1,3,10,5,6]
[7,8,1,9,2,3,10,11,4,12,5,6]=>[8,9,2,11,12,5,7,1,3,10,4,6]
[7,8,1,9,2,3,10,11,12,4,5,6]=>[8,9,2,12,4,5,7,1,3,10,11,6]
[7,8,1,9,2,10,3,4,11,5,12,6]=>[8,9,10,3,11,12,7,1,2,4,5,6]
[7,8,1,9,2,10,3,4,11,12,5,6]=>[8,9,10,3,12,5,7,1,2,4,11,6]
[7,8,1,9,2,10,3,11,4,5,12,6]=>[8,9,10,11,4,12,7,1,2,3,5,6]
[7,8,1,9,2,10,3,11,4,12,5,6]=>[8,9,10,11,12,5,7,1,2,3,4,6]
[7,8,1,9,2,10,3,11,12,4,5,6]=>[8,9,10,12,4,5,7,1,2,3,11,6]
[7,8,1,9,2,10,11,3,4,5,12,6]=>[8,9,11,3,4,12,7,1,2,10,5,6]
[7,8,1,9,2,10,11,3,4,12,5,6]=>[8,9,11,3,12,5,7,1,2,10,4,6]
[7,8,1,9,2,10,11,3,12,4,5,6]=>[8,9,11,12,4,5,7,1,2,10,3,6]
[7,8,1,9,2,10,11,12,3,4,5,6]=>[8,9,12,3,4,5,7,1,2,10,11,6]
[7,8,1,9,10,2,3,4,11,5,12,6]=>[8,10,2,3,11,12,7,1,9,4,5,6]
[7,8,1,9,10,2,3,4,11,12,5,6]=>[8,10,2,3,12,5,7,1,9,4,11,6]
[7,8,1,9,10,2,3,11,4,5,12,6]=>[8,10,2,11,4,12,7,1,9,3,5,6]
[7,8,1,9,10,2,3,11,4,12,5,6]=>[8,10,2,11,12,5,7,1,9,3,4,6]
[7,8,1,9,10,2,3,11,12,4,5,6]=>[8,10,2,12,4,5,7,1,9,3,11,6]
[7,8,1,9,10,2,11,3,4,5,12,6]=>[8,10,11,3,4,12,7,1,9,2,5,6]
[7,8,1,9,10,2,11,3,4,12,5,6]=>[8,10,11,3,12,5,7,1,9,2,4,6]
[7,8,1,9,10,2,11,3,12,4,5,6]=>[8,10,11,12,4,5,7,1,9,2,3,6]
[7,8,1,9,10,2,11,12,3,4,5,6]=>[8,10,12,3,4,5,7,1,9,2,11,6]
[7,8,1,9,10,11,2,3,4,5,12,6]=>[8,11,2,3,4,12,7,1,9,10,5,6]
[7,8,1,9,10,11,2,3,4,12,5,6]=>[8,11,2,3,12,5,7,1,9,10,4,6]
[7,8,1,9,10,11,2,3,12,4,5,6]=>[8,11,2,12,4,5,7,1,9,10,3,6]
[7,8,1,9,10,11,2,12,3,4,5,6]=>[8,11,12,3,4,5,7,1,9,10,2,6]
[7,8,1,9,10,11,12,2,3,4,5,6]=>[8,12,2,3,4,5,7,1,9,10,11,6]
[7,8,9,1,2,3,10,4,11,5,12,6]=>[9,1,2,10,11,12,7,8,3,4,5,6]
[7,8,9,1,2,3,10,4,11,12,5,6]=>[9,1,2,10,12,5,7,8,3,4,11,6]
[7,8,9,1,2,3,10,11,4,5,12,6]=>[9,1,2,11,4,12,7,8,3,10,5,6]
[7,8,9,1,2,3,10,11,4,12,5,6]=>[9,1,2,11,12,5,7,8,3,10,4,6]
[7,8,9,1,2,3,10,11,12,4,5,6]=>[9,1,2,12,4,5,7,8,3,10,11,6]
[7,8,9,1,2,10,3,4,11,5,12,6]=>[9,1,10,3,11,12,7,8,2,4,5,6]
[7,8,9,1,2,10,3,4,11,12,5,6]=>[9,1,10,3,12,5,7,8,2,4,11,6]
[7,8,9,1,2,10,3,11,4,5,12,6]=>[9,1,10,11,4,12,7,8,2,3,5,6]
[7,8,9,1,2,10,3,11,4,12,5,6]=>[9,1,10,11,12,5,7,8,2,3,4,6]
[7,8,9,1,2,10,3,11,12,4,5,6]=>[9,1,10,12,4,5,7,8,2,3,11,6]
[7,8,9,1,2,10,11,3,4,5,12,6]=>[9,1,11,3,4,12,7,8,2,10,5,6]
[7,8,9,1,2,10,11,3,4,12,5,6]=>[9,1,11,3,12,5,7,8,2,10,4,6]
[7,8,9,1,2,10,11,3,12,4,5,6]=>[9,1,11,12,4,5,7,8,2,10,3,6]
[7,8,9,1,2,10,11,12,3,4,5,6]=>[9,1,12,3,4,5,7,8,2,10,11,6]
[7,8,9,1,10,2,3,4,11,5,12,6]=>[9,10,2,3,11,12,7,8,1,4,5,6]
[7,8,9,1,10,2,3,4,11,12,5,6]=>[9,10,2,3,12,5,7,8,1,4,11,6]
[7,8,9,1,10,2,3,11,4,5,12,6]=>[9,10,2,11,4,12,7,8,1,3,5,6]
[7,8,9,1,10,2,3,11,4,12,5,6]=>[9,10,2,11,12,5,7,8,1,3,4,6]
[7,8,9,1,10,2,3,11,12,4,5,6]=>[9,10,2,12,4,5,7,8,1,3,11,6]
[7,8,9,1,10,2,11,3,4,5,12,6]=>[9,10,11,3,4,12,7,8,1,2,5,6]
[7,8,9,1,10,2,11,3,4,12,5,6]=>[9,10,11,3,12,5,7,8,1,2,4,6]
[7,8,9,1,10,2,11,3,12,4,5,6]=>[9,10,11,12,4,5,7,8,1,2,3,6]
[7,8,9,1,10,2,11,12,3,4,5,6]=>[9,10,12,3,4,5,7,8,1,2,11,6]
[7,8,9,1,10,11,2,3,4,5,12,6]=>[9,11,2,3,4,12,7,8,1,10,5,6]
[7,8,9,1,10,11,2,3,4,12,5,6]=>[9,11,2,3,12,5,7,8,1,10,4,6]
[7,8,9,1,10,11,2,3,12,4,5,6]=>[9,11,2,12,4,5,7,8,1,10,3,6]
[7,8,9,1,10,11,2,12,3,4,5,6]=>[9,11,12,3,4,5,7,8,1,10,2,6]
[7,8,9,1,10,11,12,2,3,4,5,6]=>[9,12,2,3,4,5,7,8,1,10,11,6]
[7,8,9,10,1,2,3,4,11,5,12,6]=>[10,1,2,3,11,12,7,8,9,4,5,6]
[7,8,9,10,1,2,3,4,11,12,5,6]=>[10,1,2,3,12,5,7,8,9,4,11,6]
[7,8,9,10,1,2,3,11,4,5,12,6]=>[10,1,2,11,4,12,7,8,9,3,5,6]
[7,8,9,10,1,2,3,11,4,12,5,6]=>[10,1,2,11,12,5,7,8,9,3,4,6]
[7,8,9,10,1,2,3,11,12,4,5,6]=>[10,1,2,12,4,5,7,8,9,3,11,6]
[7,8,9,10,1,2,11,3,4,5,12,6]=>[10,1,11,3,4,12,7,8,9,2,5,6]
[7,8,9,10,1,2,11,3,4,12,5,6]=>[10,1,11,3,12,5,7,8,9,2,4,6]
[7,8,9,10,1,2,11,3,12,4,5,6]=>[10,1,11,12,4,5,7,8,9,2,3,6]
[7,8,9,10,1,2,11,12,3,4,5,6]=>[10,1,12,3,4,5,7,8,9,2,11,6]
[7,8,9,10,1,11,2,3,4,5,12,6]=>[10,11,2,3,4,12,7,8,9,1,5,6]
[7,8,9,10,1,11,2,3,4,12,5,6]=>[10,11,2,3,12,5,7,8,9,1,4,6]
[7,8,9,10,1,11,2,3,12,4,5,6]=>[10,11,2,12,4,5,7,8,9,1,3,6]
[7,8,9,10,1,11,2,12,3,4,5,6]=>[10,11,12,3,4,5,7,8,9,1,2,6]
[7,8,9,10,1,11,12,2,3,4,5,6]=>[10,12,2,3,4,5,7,8,9,1,11,6]
[7,8,9,10,11,1,2,3,4,5,12,6]=>[11,1,2,3,4,12,7,8,9,10,5,6]
[7,8,9,10,11,1,2,3,4,12,5,6]=>[11,1,2,3,12,5,7,8,9,10,4,6]
[7,8,9,10,11,1,2,3,12,4,5,6]=>[11,1,2,12,4,5,7,8,9,10,3,6]
[7,8,9,10,11,1,2,12,3,4,5,6]=>[11,1,12,3,4,5,7,8,9,10,2,6]
[7,8,9,10,11,1,12,2,3,4,5,6]=>[11,12,2,3,4,5,7,8,9,10,1,6]
[9,10,11,12,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,12,7,9,10,11,2]
[11,12,7,8,9,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,12,7,8,9,11,2]
[7,10,11,8,9,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,7,11,8,10,9,2]
[7,8,9,10,11,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,7,8,9,10,11,2]
[11,12,9,10,5,6,7,8,3,4,1,2]=>[4,1,8,3,10,5,6,7,12,9,11,2]
[9,10,11,12,5,6,7,8,3,4,1,2]=>[4,1,8,3,12,5,6,7,9,10,11,2]
[11,12,5,8,9,6,7,10,3,4,1,2]=>[4,1,10,3,12,9,6,5,8,7,11,2]
[5,10,11,8,9,6,7,12,3,4,1,2]=>[4,1,12,3,5,9,6,11,8,10,7,2]
[5,8,9,10,11,6,7,12,3,4,1,2]=>[4,1,12,3,5,11,6,8,9,10,7,2]
[11,12,5,6,7,8,9,10,3,4,1,2]=>[4,1,10,3,12,5,6,7,8,9,11,2]
[5,10,11,6,7,8,9,12,3,4,1,2]=>[4,1,12,3,5,11,6,7,8,10,9,2]
[5,6,9,10,7,8,11,12,3,4,1,2]=>[4,1,12,3,5,6,10,7,9,8,11,2]
[5,6,7,8,9,10,11,12,3,4,1,2]=>[4,1,12,3,5,6,7,8,9,10,11,2]
[11,12,9,10,7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,10,7,12,9,11,2]
[9,10,11,12,7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,12,7,9,10,11,2]
[11,12,7,8,9,10,3,4,5,6,1,2]=>[6,1,10,3,4,5,12,7,8,9,11,2]
[7,10,11,8,9,12,3,4,5,6,1,2]=>[6,1,12,3,4,5,7,11,8,10,9,2]
[7,8,9,10,11,12,3,4,5,6,1,2]=>[6,1,12,3,4,5,7,8,9,10,11,2]
[11,12,9,10,3,6,7,4,5,8,1,2]=>[8,1,10,7,4,3,6,5,12,9,11,2]
[9,10,11,12,3,6,7,4,5,8,1,2]=>[8,1,12,7,4,3,6,5,9,10,11,2]
[11,12,3,8,9,6,7,4,5,10,1,2]=>[10,1,12,7,4,9,6,3,8,5,11,2]
[3,10,11,8,9,6,7,4,5,12,1,2]=>[12,1,3,7,4,9,6,11,8,10,5,2]
[3,8,9,10,11,6,7,4,5,12,1,2]=>[12,1,3,7,4,11,6,8,9,10,5,2]
[11,12,3,6,7,8,9,4,5,10,1,2]=>[10,1,12,9,4,3,6,7,8,5,11,2]
[3,10,11,6,7,8,9,4,5,12,1,2]=>[12,1,3,9,4,11,6,7,8,10,5,2]
[3,6,9,10,7,8,11,4,5,12,1,2]=>[12,1,3,11,4,6,10,7,9,8,5,2]
[3,6,7,8,9,10,11,4,5,12,1,2]=>[12,1,3,11,4,6,7,8,9,10,5,2]
[11,12,9,10,3,4,5,6,7,8,1,2]=>[8,1,10,3,4,5,6,7,12,9,11,2]
[9,10,11,12,3,4,5,6,7,8,1,2]=>[8,1,12,3,4,5,6,7,9,10,11,2]
[11,12,3,8,9,4,5,6,7,10,1,2]=>[10,1,12,9,4,5,6,3,8,7,11,2]
[3,10,11,8,9,4,5,6,7,12,1,2]=>[12,1,3,9,4,5,6,11,8,10,7,2]
[3,8,9,10,11,4,5,6,7,12,1,2]=>[12,1,3,11,4,5,6,8,9,10,7,2]
[11,12,3,4,7,8,5,6,9,10,1,2]=>[10,1,12,3,8,5,4,7,6,9,11,2]
[3,10,11,4,7,8,5,6,9,12,1,2]=>[12,1,3,11,8,5,4,7,6,10,9,2]
[3,4,9,10,7,8,5,6,11,12,1,2]=>[12,1,3,4,8,5,10,7,9,6,11,2]
[3,4,7,8,9,10,5,6,11,12,1,2]=>[12,1,3,4,10,5,7,8,9,6,11,2]
[11,12,3,4,5,6,7,8,9,10,1,2]=>[10,1,12,3,4,5,6,7,8,9,11,2]
[3,10,11,4,5,6,7,8,9,12,1,2]=>[12,1,3,11,4,5,6,7,8,10,9,2]
[3,4,9,10,5,6,7,8,11,12,1,2]=>[12,1,3,4,10,5,6,7,9,8,11,2]
[3,4,5,8,9,6,7,10,11,12,1,2]=>[12,1,3,4,5,9,6,8,7,10,11,2]
[3,4,5,6,7,8,9,10,11,12,1,2]=>[12,1,3,4,5,6,7,8,9,10,11,2]
[11,12,9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,12,9,11,4]
[9,10,11,12,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,12,7,9,10,11,4]
[11,12,7,8,9,10,5,6,1,2,3,4]=>[6,1,2,3,10,5,12,7,8,9,11,4]
[7,10,11,8,9,12,5,6,1,2,3,4]=>[6,1,2,3,12,5,7,11,8,10,9,4]
[7,8,9,10,11,12,5,6,1,2,3,4]=>[6,1,2,3,12,5,7,8,9,10,11,4]
[11,12,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,12,9,11,4]
[9,10,11,12,5,6,7,8,1,2,3,4]=>[8,1,2,3,12,5,6,7,9,10,11,4]
[11,12,5,8,9,6,7,10,1,2,3,4]=>[10,1,2,3,12,9,6,5,8,7,11,4]
[5,10,11,8,9,6,7,12,1,2,3,4]=>[12,1,2,3,5,9,6,11,8,10,7,4]
[5,8,9,10,11,6,7,12,1,2,3,4]=>[12,1,2,3,5,11,6,8,9,10,7,4]
[11,12,5,6,7,8,9,10,1,2,3,4]=>[10,1,2,3,12,5,6,7,8,9,11,4]
[5,10,11,6,7,8,9,12,1,2,3,4]=>[12,1,2,3,5,11,6,7,8,10,9,4]
[5,6,9,10,7,8,11,12,1,2,3,4]=>[12,1,2,3,5,6,10,7,9,8,11,4]
[5,6,7,8,9,10,11,12,1,2,3,4]=>[12,1,2,3,5,6,7,8,9,10,11,4]
[11,12,9,10,7,8,1,4,5,2,3,6]=>[8,5,2,1,4,3,10,7,12,9,11,6]
[9,10,11,12,7,8,1,4,5,2,3,6]=>[8,5,2,1,4,3,12,7,9,10,11,6]
[11,12,7,8,9,10,1,4,5,2,3,6]=>[10,5,2,1,4,3,12,7,8,9,11,6]
[7,10,11,8,9,12,1,4,5,2,3,6]=>[12,5,2,1,4,3,7,11,8,10,9,6]
[7,8,9,10,11,12,1,4,5,2,3,6]=>[12,5,2,1,4,3,7,8,9,10,11,6]
[11,12,9,10,1,6,7,4,5,2,3,8]=>[10,5,2,7,4,1,6,3,12,9,11,8]
[9,10,11,12,1,6,7,4,5,2,3,8]=>[12,5,2,7,4,1,6,3,9,10,11,8]
[11,12,1,8,9,6,7,4,5,2,3,10]=>[12,5,2,7,4,9,6,1,8,3,11,10]
[1,10,11,8,9,6,7,4,5,2,3,12]=>[1,5,2,7,4,9,6,11,8,10,3,12]
[1,8,9,10,11,6,7,4,5,2,3,12]=>[1,5,2,7,4,11,6,8,9,10,3,12]
[11,12,1,6,7,8,9,4,5,2,3,10]=>[12,5,2,9,4,1,6,7,8,3,11,10]
[1,10,11,6,7,8,9,4,5,2,3,12]=>[1,5,2,9,4,11,6,7,8,10,3,12]
[1,6,9,10,7,8,11,4,5,2,3,12]=>[1,5,2,11,4,6,10,7,9,8,3,12]
[1,6,7,8,9,10,11,4,5,2,3,12]=>[1,5,2,11,4,6,7,8,9,10,3,12]
[11,12,9,10,1,4,5,6,7,2,3,8]=>[10,7,2,1,4,5,6,3,12,9,11,8]
[9,10,11,12,1,4,5,6,7,2,3,8]=>[12,7,2,1,4,5,6,3,9,10,11,8]
[11,12,1,8,9,4,5,6,7,2,3,10]=>[12,7,2,9,4,5,6,1,8,3,11,10]
[1,10,11,8,9,4,5,6,7,2,3,12]=>[1,7,2,9,4,5,6,11,8,10,3,12]
[1,8,9,10,11,4,5,6,7,2,3,12]=>[1,7,2,11,4,5,6,8,9,10,3,12]
[11,12,1,4,7,8,5,6,9,2,3,10]=>[12,9,2,1,8,5,4,7,6,3,11,10]
[1,10,11,4,7,8,5,6,9,2,3,12]=>[1,9,2,11,8,5,4,7,6,10,3,12]
[1,4,9,10,7,8,5,6,11,2,3,12]=>[1,11,2,4,8,5,10,7,9,6,3,12]
[1,4,7,8,9,10,5,6,11,2,3,12]=>[1,11,2,4,10,5,7,8,9,6,3,12]
[11,12,1,4,5,6,7,8,9,2,3,10]=>[12,9,2,1,4,5,6,7,8,3,11,10]
[1,10,11,4,5,6,7,8,9,2,3,12]=>[1,9,2,11,4,5,6,7,8,10,3,12]
[1,4,9,10,5,6,7,8,11,2,3,12]=>[1,11,2,4,10,5,6,7,9,8,3,12]
[1,4,5,8,9,6,7,10,11,2,3,12]=>[1,11,2,4,5,9,6,8,7,10,3,12]
[1,4,5,6,7,8,9,10,11,2,3,12]=>[1,11,2,4,5,6,7,8,9,10,3,12]
[11,12,9,10,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,10,7,12,9,11,6]
[9,10,11,12,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,12,7,9,10,11,6]
[11,12,7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,12,7,8,9,11,6]
[7,10,11,8,9,12,1,2,3,4,5,6]=>[12,1,2,3,4,5,7,11,8,10,9,6]
[11,12,9,10,1,6,7,2,3,4,5,8]=>[10,7,2,3,4,1,6,5,12,9,11,8]
[9,10,11,12,1,6,7,2,3,4,5,8]=>[12,7,2,3,4,1,6,5,9,10,11,8]
[11,12,1,8,9,6,7,2,3,4,5,10]=>[12,7,2,3,4,9,6,1,8,5,11,10]
[1,10,11,8,9,6,7,2,3,4,5,12]=>[1,7,2,3,4,9,6,11,8,10,5,12]
[1,8,9,10,11,6,7,2,3,4,5,12]=>[1,7,2,3,4,11,6,8,9,10,5,12]
[11,12,1,6,7,8,9,2,3,4,5,10]=>[12,9,2,3,4,1,6,7,8,5,11,10]
[1,10,11,6,7,8,9,2,3,4,5,12]=>[1,9,2,3,4,11,6,7,8,10,5,12]
[1,6,9,10,7,8,11,2,3,4,5,12]=>[1,11,2,3,4,6,10,7,9,8,5,12]
[1,6,7,8,9,10,11,2,3,4,5,12]=>[1,11,2,3,4,6,7,8,9,10,5,12]
[11,12,9,10,1,2,5,6,3,4,7,8]=>[10,1,6,3,2,5,4,7,12,9,11,8]
[9,10,11,12,1,2,5,6,3,4,7,8]=>[12,1,6,3,2,5,4,7,9,10,11,8]
[11,12,1,8,9,2,5,6,3,4,7,10]=>[12,9,6,3,2,5,4,1,8,7,11,10]
[1,10,11,8,9,2,5,6,3,4,7,12]=>[1,9,6,3,2,5,4,11,8,10,7,12]
[1,8,9,10,11,2,5,6,3,4,7,12]=>[1,11,6,3,2,5,4,8,9,10,7,12]
[11,12,1,2,7,8,5,6,3,4,9,10]=>[12,1,6,3,8,5,2,7,4,9,11,10]
[1,10,11,2,7,8,5,6,3,4,9,12]=>[1,11,6,3,8,5,2,7,4,10,9,12]
[1,2,9,10,7,8,5,6,3,4,11,12]=>[1,2,6,3,8,5,10,7,9,4,11,12]
[1,2,7,8,9,10,5,6,3,4,11,12]=>[1,2,6,3,10,5,7,8,9,4,11,12]
[11,12,1,2,5,6,7,8,3,4,9,10]=>[12,1,8,3,2,5,6,7,4,9,11,10]
[1,10,11,2,5,6,7,8,3,4,9,12]=>[1,11,8,3,2,5,6,7,4,10,9,12]
[1,2,9,10,5,6,7,8,3,4,11,12]=>[1,2,8,3,10,5,6,7,9,4,11,12]
[1,2,5,8,9,6,7,10,3,4,11,12]=>[1,2,10,3,5,9,6,8,7,4,11,12]
[1,2,5,6,7,8,9,10,3,4,11,12]=>[1,2,10,3,5,6,7,8,9,4,11,12]
[11,12,9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,12,9,11,8]
[9,10,11,12,1,2,3,4,5,6,7,8]=>[12,1,2,3,4,5,6,7,9,10,11,8]
[11,12,1,8,9,2,3,4,5,6,7,10]=>[12,9,2,3,4,5,6,1,8,7,11,10]
[1,10,11,8,9,2,3,4,5,6,7,12]=>[1,9,2,3,4,5,6,11,8,10,7,12]
[1,8,9,10,11,2,3,4,5,6,7,12]=>[1,11,2,3,4,5,6,8,9,10,7,12]
[11,12,1,2,7,8,3,4,5,6,9,10]=>[12,1,8,3,4,5,2,7,6,9,11,10]
[1,10,11,2,7,8,3,4,5,6,9,12]=>[1,11,8,3,4,5,2,7,6,10,9,12]
[1,2,9,10,7,8,3,4,5,6,11,12]=>[1,2,8,3,4,5,10,7,9,6,11,12]
[1,2,7,8,9,10,3,4,5,6,11,12]=>[1,2,10,3,4,5,7,8,9,6,11,12]
[11,12,1,2,3,6,7,4,5,8,9,10]=>[12,1,2,7,4,3,6,5,8,9,11,10]
[1,10,11,2,3,6,7,4,5,8,9,12]=>[1,11,2,7,4,3,6,5,8,10,9,12]
[1,2,9,10,3,6,7,4,5,8,11,12]=>[1,2,10,7,4,3,6,5,9,8,11,12]
[1,2,3,8,9,6,7,4,5,10,11,12]=>[1,2,3,7,4,9,6,8,5,10,11,12]
[1,2,3,6,7,8,9,4,5,10,11,12]=>[1,2,3,9,4,6,7,8,5,10,11,12]
[11,12,1,2,3,4,5,6,7,8,9,10]=>[12,1,2,3,4,5,6,7,8,9,11,10]
[1,10,11,2,3,4,5,6,7,8,9,12]=>[1,11,2,3,4,5,6,7,8,10,9,12]
[1,2,9,10,3,4,5,6,7,8,11,12]=>[1,2,10,3,4,5,6,7,9,8,11,12]
[1,2,3,8,9,4,5,6,7,10,11,12]=>[1,2,3,9,4,5,6,8,7,10,11,12]
[1,2,3,4,7,8,5,6,9,10,11,12]=>[1,2,3,4,8,5,7,6,9,10,11,12]
[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]
[11,1,12,10,9,8,7,6,5,4,3,2]=>[11,3,4,5,6,7,8,9,10,12,1,2]
[2,12,11,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,11,12,3]
[11,1,2,3,4,5,6,7,8,9,12,10]=>[11,1,2,3,4,5,6,7,8,12,9,10]
[2,12,1,3,4,5,6,7,8,9,10,11]=>[12,2,1,3,4,5,6,7,8,9,10,11]
[11,12,9,10,7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,10,7,12,9,11,4]
[11,12,9,10,7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,10,7,12,9,11,2]
[11,12,9,10,7,8,4,2,5,1,3,6]=>[5,4,1,8,2,3,10,7,12,9,11,6]
[11,12,9,10,7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,10,7,12,9,11,6]
[11,12,9,10,6,5,7,8,3,4,1,2]=>[4,1,8,3,6,10,5,7,12,9,11,2]
[11,12,9,10,6,5,7,8,2,1,3,4]=>[2,8,1,3,6,10,5,7,12,9,11,4]
[11,12,9,10,6,4,7,3,5,8,1,2]=>[8,1,7,6,3,10,4,5,12,9,11,2]
[11,12,9,10,6,4,7,2,5,1,3,8]=>[5,7,1,6,2,10,4,3,12,9,11,8]
[11,12,9,10,6,3,7,2,1,4,5,8]=>[2,7,6,1,4,10,3,5,12,9,11,8]
[11,12,9,10,5,4,3,6,7,8,1,2]=>[8,1,4,5,10,3,6,7,12,9,11,2]
[11,12,9,10,5,4,2,6,7,1,3,8]=>[7,4,1,5,10,2,6,3,12,9,11,8]
[11,12,9,10,5,3,2,6,1,4,7,8]=>[6,3,5,1,10,2,4,7,12,9,11,8]
[11,12,9,10,4,3,2,1,5,6,7,8]=>[2,3,4,10,1,5,6,7,12,9,11,8]
[11,12,8,7,9,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,8,12,7,9,11,2]
[11,12,8,7,9,10,5,6,2,1,3,4]=>[2,6,1,3,10,5,8,12,7,9,11,4]
[11,12,8,7,9,10,4,3,5,6,1,2]=>[6,1,4,10,3,5,8,12,7,9,11,2]
[11,12,8,7,9,10,4,2,5,1,3,6]=>[5,4,1,10,2,3,8,12,7,9,11,6]
[11,12,8,7,9,10,3,2,1,4,5,6]=>[2,3,10,1,4,5,8,12,7,9,11,6]
[11,12,8,6,9,5,7,10,3,4,1,2]=>[4,1,10,3,9,8,5,12,6,7,11,2]
[11,12,8,6,9,5,7,10,2,1,3,4]=>[2,10,1,3,9,8,5,12,6,7,11,4]
[11,12,8,6,9,4,7,3,5,10,1,2]=>[10,1,7,9,3,8,4,12,6,5,11,2]
[11,12,8,6,9,4,7,2,5,1,3,10]=>[5,7,1,9,2,8,4,12,6,3,11,10]
[11,12,8,6,9,3,7,2,1,4,5,10]=>[2,7,9,1,4,8,3,12,6,5,11,10]
[11,12,8,5,9,4,3,6,7,10,1,2]=>[10,1,4,9,8,3,6,12,5,7,11,2]
[11,12,8,5,9,4,2,6,7,1,3,10]=>[7,4,1,9,8,2,6,12,5,3,11,10]
[11,12,8,5,9,3,2,6,1,4,7,10]=>[6,3,9,1,8,2,4,12,5,7,11,10]
[11,12,8,4,9,3,2,1,5,6,7,10]=>[2,3,9,8,1,5,6,12,4,7,11,10]
[11,12,7,6,5,8,9,10,3,4,1,2]=>[4,1,10,3,6,7,12,5,8,9,11,2]
[11,12,7,6,5,8,9,10,2,1,3,4]=>[2,10,1,3,6,7,12,5,8,9,11,4]
[11,12,7,6,4,8,9,3,5,10,1,2]=>[10,1,9,6,3,7,12,4,8,5,11,2]
[11,12,7,6,4,8,9,2,5,1,3,10]=>[5,9,1,6,2,7,12,4,8,3,11,10]
[11,12,7,6,3,8,9,2,1,4,5,10]=>[2,9,6,1,4,7,12,3,8,5,11,10]
[11,12,7,5,4,8,3,6,9,10,1,2]=>[10,1,8,5,7,3,12,4,6,9,11,2]
[11,12,7,5,4,8,2,6,9,1,3,10]=>[9,8,1,5,7,2,12,4,6,3,11,10]
[11,12,7,5,3,8,2,6,1,4,9,10]=>[6,8,5,1,7,2,12,3,4,9,11,10]
[11,12,7,4,3,8,2,1,5,6,9,10]=>[2,8,4,7,1,5,12,3,6,9,11,10]
[11,12,6,5,4,3,7,8,9,10,1,2]=>[10,1,4,5,6,12,3,7,8,9,11,2]
[11,12,6,5,4,2,7,8,9,1,3,10]=>[9,4,1,5,6,12,2,7,8,3,11,10]
[11,12,6,5,3,2,7,8,1,4,9,10]=>[8,3,5,1,6,12,2,7,4,9,11,10]
[11,12,6,4,3,2,7,1,5,8,9,10]=>[7,3,4,6,1,12,2,5,8,9,11,10]
[11,12,5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,12,1,6,7,8,9,11,10]
[10,9,11,12,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,12,7,10,9,11,2]
[10,9,11,12,7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,12,7,10,9,11,4]
[10,9,11,12,7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,12,7,10,9,11,2]
[10,9,11,12,7,8,4,2,5,1,3,6]=>[5,4,1,8,2,3,12,7,10,9,11,6]
[10,9,11,12,7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,12,7,10,9,11,6]
[10,9,11,12,6,5,7,8,3,4,1,2]=>[4,1,8,3,6,12,5,7,10,9,11,2]
[10,9,11,12,6,5,7,8,2,1,3,4]=>[2,8,1,3,6,12,5,7,10,9,11,4]
[10,9,11,12,6,4,7,3,5,8,1,2]=>[8,1,7,6,3,12,4,5,10,9,11,2]
[10,9,11,12,6,4,7,2,5,1,3,8]=>[5,7,1,6,2,12,4,3,10,9,11,8]
[10,9,11,12,6,3,7,2,1,4,5,8]=>[2,7,6,1,4,12,3,5,10,9,11,8]
[10,9,11,12,5,4,3,6,7,8,1,2]=>[8,1,4,5,12,3,6,7,10,9,11,2]
[10,9,11,12,5,4,2,6,7,1,3,8]=>[7,4,1,5,12,2,6,3,10,9,11,8]
[10,9,11,12,5,3,2,6,1,4,7,8]=>[6,3,5,1,12,2,4,7,10,9,11,8]
[10,9,11,12,4,3,2,1,5,6,7,8]=>[2,3,4,12,1,5,6,7,10,9,11,8]
[10,8,11,7,9,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,11,10,7,8,9,2]
[10,8,11,7,9,12,5,6,2,1,3,4]=>[2,6,1,3,12,5,11,10,7,8,9,4]
[10,8,11,7,9,12,4,3,5,6,1,2]=>[6,1,4,12,3,5,11,10,7,8,9,2]
[10,8,11,7,9,12,4,2,5,1,3,6]=>[5,4,1,12,2,3,11,10,7,8,9,6]
[10,8,11,7,9,12,3,2,1,4,5,6]=>[2,3,12,1,4,5,11,10,7,8,9,6]
[10,8,11,6,9,5,7,12,3,4,1,2]=>[4,1,12,3,9,11,5,10,6,8,7,2]
[10,8,11,6,9,5,7,12,2,1,3,4]=>[2,12,1,3,9,11,5,10,6,8,7,4]
[10,8,11,6,9,4,7,3,5,12,1,2]=>[12,1,7,9,3,11,4,10,6,8,5,2]
[10,8,11,6,9,4,7,2,5,1,3,12]=>[5,7,1,9,2,11,4,10,6,8,3,12]
[10,8,11,6,9,3,7,2,1,4,5,12]=>[2,7,9,1,4,11,3,10,6,8,5,12]
[10,8,11,5,9,4,3,6,7,12,1,2]=>[12,1,4,9,11,3,6,10,5,8,7,2]
[10,8,11,5,9,4,2,6,7,1,3,12]=>[7,4,1,9,11,2,6,10,5,8,3,12]
[10,8,11,5,9,3,2,6,1,4,7,12]=>[6,3,9,1,11,2,4,10,5,8,7,12]
[10,8,11,4,9,3,2,1,5,6,7,12]=>[2,3,9,11,1,5,6,10,4,8,7,12]
[10,7,11,6,5,8,9,12,3,4,1,2]=>[4,1,12,3,6,11,10,5,8,7,9,2]
[10,7,11,6,5,8,9,12,2,1,3,4]=>[2,12,1,3,6,11,10,5,8,7,9,4]
[10,7,11,6,4,8,9,3,5,12,1,2]=>[12,1,9,6,3,11,10,4,8,7,5,2]
[10,7,11,6,4,8,9,2,5,1,3,12]=>[5,9,1,6,2,11,10,4,8,7,3,12]
[10,7,11,6,3,8,9,2,1,4,5,12]=>[2,9,6,1,4,11,10,3,8,7,5,12]
[10,7,11,5,4,8,3,6,9,12,1,2]=>[12,1,8,5,11,3,10,4,6,7,9,2]
[10,7,11,5,4,8,2,6,9,1,3,12]=>[9,8,1,5,11,2,10,4,6,7,3,12]
[10,7,11,5,3,8,2,6,1,4,9,12]=>[6,8,5,1,11,2,10,3,4,7,9,12]
[10,7,11,4,3,8,2,1,5,6,9,12]=>[2,8,4,11,1,5,10,3,6,7,9,12]
[10,6,11,5,4,3,7,8,9,12,1,2]=>[12,1,4,5,11,10,3,7,8,6,9,2]
[10,6,11,5,4,2,7,8,9,1,3,12]=>[9,4,1,5,11,10,2,7,8,6,3,12]
[10,6,11,5,3,2,7,8,1,4,9,12]=>[8,3,5,1,11,10,2,7,4,6,9,12]
[10,6,11,4,3,2,7,1,5,8,9,12]=>[7,3,4,11,1,10,2,5,8,6,9,12]
[10,5,11,4,3,2,1,6,7,8,9,12]=>[2,3,4,11,10,1,6,7,8,5,9,12]
[9,8,7,10,11,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,8,9,7,10,11,2]
[9,8,7,10,11,12,5,6,2,1,3,4]=>[2,6,1,3,12,5,8,9,7,10,11,4]
[9,8,7,10,11,12,4,3,5,6,1,2]=>[6,1,4,12,3,5,8,9,7,10,11,2]
[9,8,7,10,11,12,4,2,5,1,3,6]=>[5,4,1,12,2,3,8,9,7,10,11,6]
[9,8,7,10,11,12,3,2,1,4,5,6]=>[2,3,12,1,4,5,8,9,7,10,11,6]
[9,8,6,10,11,5,7,12,3,4,1,2]=>[4,1,12,3,11,8,5,9,6,10,7,2]
[9,8,6,10,11,5,7,12,2,1,3,4]=>[2,12,1,3,11,8,5,9,6,10,7,4]
[9,8,6,10,11,4,7,3,5,12,1,2]=>[12,1,7,11,3,8,4,9,6,10,5,2]
[9,8,6,10,11,4,7,2,5,1,3,12]=>[5,7,1,11,2,8,4,9,6,10,3,12]
[9,8,6,10,11,3,7,2,1,4,5,12]=>[2,7,11,1,4,8,3,9,6,10,5,12]
[9,8,5,10,11,4,3,6,7,12,1,2]=>[12,1,4,11,8,3,6,9,5,10,7,2]
[9,8,5,10,11,4,2,6,7,1,3,12]=>[7,4,1,11,8,2,6,9,5,10,3,12]
[9,8,5,10,11,3,2,6,1,4,7,12]=>[6,3,11,1,8,2,4,9,5,10,7,12]
[9,8,4,10,11,3,2,1,5,6,7,12]=>[2,3,11,8,1,5,6,9,4,10,7,12]
[9,7,6,10,5,8,11,12,3,4,1,2]=>[4,1,12,3,10,7,9,5,6,8,11,2]
[9,7,6,10,5,8,11,12,2,1,3,4]=>[2,12,1,3,10,7,9,5,6,8,11,4]
[9,7,6,10,4,8,11,3,5,12,1,2]=>[12,1,11,10,3,7,9,4,6,8,5,2]
[9,7,6,10,4,8,11,2,5,1,3,12]=>[5,11,1,10,2,7,9,4,6,8,3,12]
[9,7,6,10,3,8,11,2,1,4,5,12]=>[2,11,10,1,4,7,9,3,6,8,5,12]
[9,7,5,10,4,8,3,6,11,12,1,2]=>[12,1,8,10,7,3,9,4,5,6,11,2]
[9,7,5,10,4,8,2,6,11,1,3,12]=>[11,8,1,10,7,2,9,4,5,6,3,12]
[9,7,5,10,3,8,2,6,1,4,11,12]=>[6,8,10,1,7,2,9,3,5,4,11,12]
[9,7,4,10,3,8,2,1,5,6,11,12]=>[2,8,10,7,1,5,9,3,4,6,11,12]
[9,6,5,10,4,3,7,8,11,12,1,2]=>[12,1,4,10,6,9,3,7,5,8,11,2]
[9,6,5,10,4,2,7,8,11,1,3,12]=>[11,4,1,10,6,9,2,7,5,8,3,12]
[9,6,5,10,3,2,7,8,1,4,11,12]=>[8,3,10,1,6,9,2,7,5,4,11,12]
[9,6,4,10,3,2,7,1,5,8,11,12]=>[7,3,10,6,1,9,2,5,4,8,11,12]
[9,5,4,10,3,2,1,6,7,8,11,12]=>[2,3,10,5,9,1,6,7,4,8,11,12]
[8,7,6,5,9,10,11,12,3,4,1,2]=>[4,1,12,3,6,7,8,5,9,10,11,2]
[8,7,6,5,9,10,11,12,2,1,3,4]=>[2,12,1,3,6,7,8,5,9,10,11,4]
[8,7,6,4,9,10,11,3,5,12,1,2]=>[12,1,11,6,3,7,8,4,9,10,5,2]
[8,7,6,4,9,10,11,2,5,1,3,12]=>[5,11,1,6,2,7,8,4,9,10,3,12]
[8,7,6,3,9,10,11,2,1,4,5,12]=>[2,11,6,1,4,7,8,3,9,10,5,12]
[8,7,5,4,9,10,3,6,11,12,1,2]=>[12,1,10,5,7,3,8,4,9,6,11,2]
[8,7,5,4,9,10,2,6,11,1,3,12]=>[11,10,1,5,7,2,8,4,9,6,3,12]
[8,7,5,3,9,10,2,6,1,4,11,12]=>[6,10,5,1,7,2,8,3,9,4,11,12]
[8,7,4,3,9,10,2,1,5,6,11,12]=>[2,10,4,7,1,5,8,3,9,6,11,12]
[8,6,5,4,9,3,7,10,11,12,1,2]=>[12,1,9,5,6,8,3,4,7,10,11,2]
[8,6,5,4,9,2,7,10,11,1,3,12]=>[11,9,1,5,6,8,2,4,7,10,3,12]
[8,6,5,3,9,2,7,10,1,4,11,12]=>[10,9,5,1,6,8,2,3,7,4,11,12]
[8,6,4,3,9,2,7,1,5,10,11,12]=>[7,9,4,6,1,8,2,3,5,10,11,12]
[8,5,4,3,9,2,1,6,7,10,11,12]=>[2,9,4,5,8,1,6,3,7,10,11,12]
[7,6,5,4,3,8,9,10,11,12,1,2]=>[12,1,4,5,6,7,3,8,9,10,11,2]
[7,6,5,4,2,8,9,10,11,1,3,12]=>[11,4,1,5,6,7,2,8,9,10,3,12]
[7,6,5,3,2,8,9,10,1,4,11,12]=>[10,3,5,1,6,7,2,8,9,4,11,12]
[7,6,4,3,2,8,9,1,5,10,11,12]=>[9,3,4,6,1,7,2,8,5,10,11,12]
[7,5,4,3,2,8,1,6,9,10,11,12]=>[8,3,4,5,7,1,2,6,9,10,11,12]
[6,5,4,3,2,1,7,8,9,10,11,12]=>[2,3,4,5,6,1,7,8,9,10,11,12]
[12,2,1,4,3,6,5,8,7,10,9,11]=>[2,12,4,1,6,3,8,5,10,7,9,11]
[12,2,1,4,3,6,5,8,7,9,11,10]=>[2,12,4,1,6,3,8,5,7,11,9,10]
[12,2,1,4,3,6,5,7,9,10,8,11]=>[2,12,4,1,6,3,5,10,7,9,8,11]
[12,2,1,4,3,6,5,7,9,8,11,10]=>[2,12,4,1,6,3,5,9,7,11,8,10]
[12,2,1,4,3,6,5,7,8,10,11,9]=>[2,12,4,1,6,3,5,7,11,8,10,9]
[12,2,1,4,3,5,7,8,6,10,9,11]=>[2,12,4,1,3,8,5,7,10,6,9,11]
[12,2,1,4,3,5,7,8,6,9,11,10]=>[2,12,4,1,3,8,5,7,6,11,9,10]
[12,2,1,4,3,5,7,6,9,10,8,11]=>[2,12,4,1,3,7,5,10,6,9,8,11]
[12,2,1,4,3,5,7,6,9,8,11,10]=>[2,12,4,1,3,7,5,9,6,11,8,10]
[12,2,1,4,3,5,7,6,8,10,11,9]=>[2,12,4,1,3,7,5,6,11,8,10,9]
[12,2,1,4,3,5,6,8,9,10,7,11]=>[2,12,4,1,3,5,10,6,8,9,7,11]
[12,2,1,4,3,5,6,8,9,7,11,10]=>[2,12,4,1,3,5,9,6,8,11,7,10]
[12,2,1,4,3,5,6,8,7,10,11,9]=>[2,12,4,1,3,5,8,6,11,7,10,9]
[12,2,1,4,3,5,6,7,9,10,11,8]=>[2,12,4,1,3,5,6,11,7,9,10,8]
[12,2,1,3,5,6,4,8,7,10,9,11]=>[2,12,1,6,3,5,8,4,10,7,9,11]
[12,2,1,3,5,6,4,8,7,9,11,10]=>[2,12,1,6,3,5,8,4,7,11,9,10]
[12,2,1,3,5,6,4,7,9,10,8,11]=>[2,12,1,6,3,5,4,10,7,9,8,11]
[12,2,1,3,5,6,4,7,9,8,11,10]=>[2,12,1,6,3,5,4,9,7,11,8,10]
[12,2,1,3,5,6,4,7,8,10,11,9]=>[2,12,1,6,3,5,4,7,11,8,10,9]
[12,2,1,3,5,4,7,8,6,10,9,11]=>[2,12,1,5,3,8,4,7,10,6,9,11]
[12,2,1,3,5,4,7,8,6,9,11,10]=>[2,12,1,5,3,8,4,7,6,11,9,10]
[12,2,1,3,5,4,7,6,9,10,8,11]=>[2,12,1,5,3,7,4,10,6,9,8,11]
[12,2,1,3,5,4,7,6,9,8,11,10]=>[2,12,1,5,3,7,4,9,6,11,8,10]
[12,2,1,3,5,4,7,6,8,10,11,9]=>[2,12,1,5,3,7,4,6,11,8,10,9]
[12,2,1,3,5,4,6,8,9,10,7,11]=>[2,12,1,5,3,4,10,6,8,9,7,11]
[12,2,1,3,5,4,6,8,9,7,11,10]=>[2,12,1,5,3,4,9,6,8,11,7,10]
[12,2,1,3,5,4,6,8,7,10,11,9]=>[2,12,1,5,3,4,8,6,11,7,10,9]
[12,2,1,3,5,4,6,7,9,10,11,8]=>[2,12,1,5,3,4,6,11,7,9,10,8]
[12,2,1,3,4,6,7,8,5,10,9,11]=>[2,12,1,3,8,4,6,7,10,5,9,11]
[12,2,1,3,4,6,7,8,5,9,11,10]=>[2,12,1,3,8,4,6,7,5,11,9,10]
[12,2,1,3,4,6,7,5,9,10,8,11]=>[2,12,1,3,7,4,6,10,5,9,8,11]
[12,2,1,3,4,6,7,5,9,8,11,10]=>[2,12,1,3,7,4,6,9,5,11,8,10]
[12,2,1,3,4,6,7,5,8,10,11,9]=>[2,12,1,3,7,4,6,5,11,8,10,9]
[12,2,1,3,4,6,5,8,9,10,7,11]=>[2,12,1,3,6,4,10,5,8,9,7,11]
[12,2,1,3,4,6,5,8,9,7,11,10]=>[2,12,1,3,6,4,9,5,8,11,7,10]
[12,2,1,3,4,6,5,8,7,10,11,9]=>[2,12,1,3,6,4,8,5,11,7,10,9]
[12,2,1,3,4,6,5,7,9,10,11,8]=>[2,12,1,3,6,4,5,11,7,9,10,8]
[12,2,1,3,4,5,7,8,9,10,6,11]=>[2,12,1,3,4,10,5,7,8,9,6,11]
[12,2,1,3,4,5,7,8,9,6,11,10]=>[2,12,1,3,4,9,5,7,8,11,6,10]
[12,2,1,3,4,5,7,8,6,10,11,9]=>[2,12,1,3,4,8,5,7,11,6,10,9]
[12,2,1,3,4,5,7,6,9,10,11,8]=>[2,12,1,3,4,7,5,11,6,9,10,8]
[12,2,1,3,4,5,6,8,9,10,11,7]=>[2,12,1,3,4,5,11,6,8,9,10,7]
[12,1,3,4,2,6,5,8,7,10,9,11]=>[12,4,1,3,6,2,8,5,10,7,9,11]
[12,1,3,4,2,6,5,8,7,9,11,10]=>[12,4,1,3,6,2,8,5,7,11,9,10]
[12,1,3,4,2,6,5,7,9,10,8,11]=>[12,4,1,3,6,2,5,10,7,9,8,11]
[12,1,3,4,2,6,5,7,9,8,11,10]=>[12,4,1,3,6,2,5,9,7,11,8,10]
[12,1,3,4,2,6,5,7,8,10,11,9]=>[12,4,1,3,6,2,5,7,11,8,10,9]
[12,1,3,4,2,5,7,8,6,10,9,11]=>[12,4,1,3,2,8,5,7,10,6,9,11]
[12,1,3,4,2,5,7,8,6,9,11,10]=>[12,4,1,3,2,8,5,7,6,11,9,10]
[12,1,3,4,2,5,7,6,9,10,8,11]=>[12,4,1,3,2,7,5,10,6,9,8,11]
[12,1,3,4,2,5,7,6,9,8,11,10]=>[12,4,1,3,2,7,5,9,6,11,8,10]
[12,1,3,4,2,5,7,6,8,10,11,9]=>[12,4,1,3,2,7,5,6,11,8,10,9]
[12,1,3,4,2,5,6,8,9,10,7,11]=>[12,4,1,3,2,5,10,6,8,9,7,11]
[12,1,3,4,2,5,6,8,9,7,11,10]=>[12,4,1,3,2,5,9,6,8,11,7,10]
[12,1,3,4,2,5,6,8,7,10,11,9]=>[12,4,1,3,2,5,8,6,11,7,10,9]
[12,1,3,4,2,5,6,7,9,10,11,8]=>[12,4,1,3,2,5,6,11,7,9,10,8]
[12,1,3,2,5,6,4,8,7,10,9,11]=>[12,3,1,6,2,5,8,4,10,7,9,11]
[12,1,3,2,5,6,4,8,7,9,11,10]=>[12,3,1,6,2,5,8,4,7,11,9,10]
[12,1,3,2,5,6,4,7,9,10,8,11]=>[12,3,1,6,2,5,4,10,7,9,8,11]
[12,1,3,2,5,6,4,7,9,8,11,10]=>[12,3,1,6,2,5,4,9,7,11,8,10]
[12,1,3,2,5,6,4,7,8,10,11,9]=>[12,3,1,6,2,5,4,7,11,8,10,9]
[12,1,3,2,5,4,7,8,6,10,9,11]=>[12,3,1,5,2,8,4,7,10,6,9,11]
[12,1,3,2,5,4,7,8,6,9,11,10]=>[12,3,1,5,2,8,4,7,6,11,9,10]
[12,1,3,2,5,4,7,6,9,10,8,11]=>[12,3,1,5,2,7,4,10,6,9,8,11]
[12,1,3,2,5,4,7,6,9,8,11,10]=>[12,3,1,5,2,7,4,9,6,11,8,10]
[12,1,3,2,5,4,7,6,8,10,11,9]=>[12,3,1,5,2,7,4,6,11,8,10,9]
[12,1,3,2,5,4,6,8,9,10,7,11]=>[12,3,1,5,2,4,10,6,8,9,7,11]
[12,1,3,2,5,4,6,8,9,7,11,10]=>[12,3,1,5,2,4,9,6,8,11,7,10]
[12,1,3,2,5,4,6,8,7,10,11,9]=>[12,3,1,5,2,4,8,6,11,7,10,9]
[12,1,3,2,5,4,6,7,9,10,11,8]=>[12,3,1,5,2,4,6,11,7,9,10,8]
[12,1,3,2,4,6,7,8,5,10,9,11]=>[12,3,1,2,8,4,6,7,10,5,9,11]
[12,1,3,2,4,6,7,8,5,9,11,10]=>[12,3,1,2,8,4,6,7,5,11,9,10]
[12,1,3,2,4,6,7,5,9,10,8,11]=>[12,3,1,2,7,4,6,10,5,9,8,11]
[12,1,3,2,4,6,7,5,9,8,11,10]=>[12,3,1,2,7,4,6,9,5,11,8,10]
[12,1,3,2,4,6,7,5,8,10,11,9]=>[12,3,1,2,7,4,6,5,11,8,10,9]
[12,1,3,2,4,6,5,8,9,10,7,11]=>[12,3,1,2,6,4,10,5,8,9,7,11]
[12,1,3,2,4,6,5,8,9,7,11,10]=>[12,3,1,2,6,4,9,5,8,11,7,10]
[12,1,3,2,4,6,5,8,7,10,11,9]=>[12,3,1,2,6,4,8,5,11,7,10,9]
[12,1,3,2,4,6,5,7,9,10,11,8]=>[12,3,1,2,6,4,5,11,7,9,10,8]
[12,1,3,2,4,5,7,8,9,10,6,11]=>[12,3,1,2,4,10,5,7,8,9,6,11]
[12,1,3,2,4,5,7,8,9,6,11,10]=>[12,3,1,2,4,9,5,7,8,11,6,10]
[12,1,3,2,4,5,7,8,6,10,11,9]=>[12,3,1,2,4,8,5,7,11,6,10,9]
[12,1,3,2,4,5,7,6,9,10,11,8]=>[12,3,1,2,4,7,5,11,6,9,10,8]
[12,1,3,2,4,5,6,8,9,10,11,7]=>[12,3,1,2,4,5,11,6,8,9,10,7]
[12,1,2,4,5,6,3,8,7,10,9,11]=>[12,1,6,2,4,5,8,3,10,7,9,11]
[12,1,2,4,5,6,3,8,7,9,11,10]=>[12,1,6,2,4,5,8,3,7,11,9,10]
[12,1,2,4,5,6,3,7,9,10,8,11]=>[12,1,6,2,4,5,3,10,7,9,8,11]
[12,1,2,4,5,6,3,7,9,8,11,10]=>[12,1,6,2,4,5,3,9,7,11,8,10]
[12,1,2,4,5,6,3,7,8,10,11,9]=>[12,1,6,2,4,5,3,7,11,8,10,9]
[12,1,2,4,5,3,7,8,6,10,9,11]=>[12,1,5,2,4,8,3,7,10,6,9,11]
[12,1,2,4,5,3,7,8,6,9,11,10]=>[12,1,5,2,4,8,3,7,6,11,9,10]
[12,1,2,4,5,3,7,6,9,10,8,11]=>[12,1,5,2,4,7,3,10,6,9,8,11]
[12,1,2,4,5,3,7,6,9,8,11,10]=>[12,1,5,2,4,7,3,9,6,11,8,10]
[12,1,2,4,5,3,7,6,8,10,11,9]=>[12,1,5,2,4,7,3,6,11,8,10,9]
[12,1,2,4,5,3,6,8,9,10,7,11]=>[12,1,5,2,4,3,10,6,8,9,7,11]
[12,1,2,4,5,3,6,8,9,7,11,10]=>[12,1,5,2,4,3,9,6,8,11,7,10]
[12,1,2,4,5,3,6,8,7,10,11,9]=>[12,1,5,2,4,3,8,6,11,7,10,9]
[12,1,2,4,5,3,6,7,9,10,11,8]=>[12,1,5,2,4,3,6,11,7,9,10,8]
[12,1,2,4,3,6,7,8,5,10,9,11]=>[12,1,4,2,8,3,6,7,10,5,9,11]
[12,1,2,4,3,6,7,8,5,9,11,10]=>[12,1,4,2,8,3,6,7,5,11,9,10]
[12,1,2,4,3,6,7,5,9,10,8,11]=>[12,1,4,2,7,3,6,10,5,9,8,11]
[12,1,2,4,3,6,7,5,9,8,11,10]=>[12,1,4,2,7,3,6,9,5,11,8,10]
[12,1,2,4,3,6,7,5,8,10,11,9]=>[12,1,4,2,7,3,6,5,11,8,10,9]
[12,1,2,4,3,6,5,8,9,10,7,11]=>[12,1,4,2,6,3,10,5,8,9,7,11]
[12,1,2,4,3,6,5,8,9,7,11,10]=>[12,1,4,2,6,3,9,5,8,11,7,10]
[12,1,2,4,3,6,5,8,7,10,11,9]=>[12,1,4,2,6,3,8,5,11,7,10,9]
[12,1,2,4,3,6,5,7,9,10,11,8]=>[12,1,4,2,6,3,5,11,7,9,10,8]
[12,1,2,4,3,5,7,8,9,10,6,11]=>[12,1,4,2,3,10,5,7,8,9,6,11]
[12,1,2,4,3,5,7,8,9,6,11,10]=>[12,1,4,2,3,9,5,7,8,11,6,10]
[12,1,2,4,3,5,7,8,6,10,11,9]=>[12,1,4,2,3,8,5,7,11,6,10,9]
[12,1,2,4,3,5,7,6,9,10,11,8]=>[12,1,4,2,3,7,5,11,6,9,10,8]
[12,1,2,4,3,5,6,8,9,10,11,7]=>[12,1,4,2,3,5,11,6,8,9,10,7]
[12,1,2,3,5,6,7,8,4,10,9,11]=>[12,1,2,8,3,5,6,7,10,4,9,11]
[12,1,2,3,5,6,7,8,4,9,11,10]=>[12,1,2,8,3,5,6,7,4,11,9,10]
[12,1,2,3,5,6,7,4,9,10,8,11]=>[12,1,2,7,3,5,6,10,4,9,8,11]
[12,1,2,3,5,6,7,4,9,8,11,10]=>[12,1,2,7,3,5,6,9,4,11,8,10]
[12,1,2,3,5,6,7,4,8,10,11,9]=>[12,1,2,7,3,5,6,4,11,8,10,9]
[12,1,2,3,5,6,4,8,9,10,7,11]=>[12,1,2,6,3,5,10,4,8,9,7,11]
[12,1,2,3,5,6,4,8,9,7,11,10]=>[12,1,2,6,3,5,9,4,8,11,7,10]
[12,1,2,3,5,6,4,8,7,10,11,9]=>[12,1,2,6,3,5,8,4,11,7,10,9]
[12,1,2,3,5,6,4,7,9,10,11,8]=>[12,1,2,6,3,5,4,11,7,9,10,8]
[12,1,2,3,5,4,7,8,9,10,6,11]=>[12,1,2,5,3,10,4,7,8,9,6,11]
[12,1,2,3,5,4,7,8,9,6,11,10]=>[12,1,2,5,3,9,4,7,8,11,6,10]
[12,1,2,3,5,4,7,8,6,10,11,9]=>[12,1,2,5,3,8,4,7,11,6,10,9]
[12,1,2,3,5,4,7,6,9,10,11,8]=>[12,1,2,5,3,7,4,11,6,9,10,8]
[12,1,2,3,5,4,6,8,9,10,11,7]=>[12,1,2,5,3,4,11,6,8,9,10,7]
[12,1,2,3,4,6,7,8,9,10,5,11]=>[12,1,2,3,10,4,6,7,8,9,5,11]
[12,1,2,3,4,6,7,8,9,5,11,10]=>[12,1,2,3,9,4,6,7,8,11,5,10]
[12,1,2,3,4,6,7,8,5,10,11,9]=>[12,1,2,3,8,4,6,7,11,5,10,9]
[12,1,2,3,4,6,7,5,9,10,11,8]=>[12,1,2,3,7,4,6,11,5,9,10,8]
[12,1,2,3,4,6,5,8,9,10,11,7]=>[12,1,2,3,6,4,11,5,8,9,10,7]
[12,1,2,3,4,5,7,8,9,10,11,6]=>[12,1,2,3,4,11,5,7,8,9,10,6]
[11,1,2,3,4,5,6,7,8,9,10,12]=>[11,1,2,3,4,5,6,7,8,9,10,12]
[2,3,4,5,6,7,8,9,10,11,1,12]=>[11,2,3,4,5,6,7,8,9,10,1,12]
[12,11,2,4,6,8,10,1,3,5,7,9]=>[10,11,1,2,3,4,5,6,7,8,12,9]
[10,9,2,4,6,8,12,1,3,5,7,11]=>[12,9,1,2,3,4,5,6,10,8,7,11]
[2,12,9,11,4,6,8,10,1,3,5,7]=>[10,2,1,11,3,4,5,6,12,8,9,7]
[12,11,10,9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,10,11,12,7]
[8,7,2,4,6,10,12,1,3,5,9,11]=>[12,7,1,2,3,4,8,6,5,10,9,11]
[8,12,7,11,2,4,6,10,1,3,5,9]=>[10,11,1,2,3,4,12,8,5,6,7,9]
[2,10,7,9,4,6,8,12,1,3,5,11]=>[12,2,1,9,3,4,10,6,7,8,5,11]
[2,4,12,7,9,11,6,8,10,1,3,5]=>[10,2,1,4,3,11,12,6,7,8,9,5]
[12,11,2,10,7,9,4,6,8,1,3,5]=>[8,11,1,9,3,4,10,6,7,2,12,5]
[10,9,8,7,2,4,6,12,1,3,5,11]=>[12,7,1,2,3,4,8,9,10,6,5,11]
[12,9,2,8,7,11,4,6,10,1,3,5]=>[10,9,1,12,3,2,8,4,11,6,7,5]
[8,12,7,11,10,9,2,4,6,1,3,5]=>[6,9,1,2,3,4,10,8,11,12,7,5]
[12,11,10,9,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,9,10,11,12,5]
[6,5,2,4,8,10,12,1,3,7,9,11]=>[12,5,1,2,6,4,3,8,7,10,9,11]
[6,12,5,11,2,4,8,10,1,3,7,9]=>[10,11,1,2,12,6,3,4,7,8,5,9]
[6,10,5,9,2,4,8,12,1,3,7,11]=>[12,9,1,2,10,6,3,4,5,8,7,11]
[6,5,12,9,11,2,4,8,10,1,3,7]=>[10,11,1,2,6,5,3,4,12,8,9,7]
[12,11,6,10,5,9,2,4,8,1,3,7]=>[8,9,1,2,10,11,3,4,5,6,12,7]
[2,8,5,7,4,6,10,12,1,3,9,11]=>[12,2,1,7,8,4,5,6,3,10,9,11]
[2,8,12,5,7,11,4,6,10,1,3,9]=>[10,2,1,11,12,4,5,8,3,6,7,9]
[10,5,2,4,7,9,6,8,12,1,3,11]=>[12,5,1,2,10,9,4,6,7,8,3,11]
[12,5,7,2,4,6,9,11,8,10,1,3]=>[10,7,1,2,12,4,5,11,6,8,9,3]
[12,5,11,10,2,4,7,9,6,8,1,3]=>[8,10,1,2,11,9,5,6,7,12,4,3]
[10,9,2,8,5,7,4,6,12,1,3,11]=>[12,9,1,7,8,4,5,2,10,6,3,11]
[12,5,9,8,2,4,7,11,6,10,1,3]=>[10,8,1,2,9,12,5,11,6,4,7,3]
[2,12,5,11,8,10,7,9,4,6,1,3]=>[6,2,1,9,12,4,10,11,7,8,5,3]
[12,11,10,9,2,8,5,7,4,6,1,3]=>[6,9,1,7,8,4,5,2,10,11,12,3]
[8,7,6,5,2,4,10,12,1,3,9,11]=>[12,5,1,2,6,7,8,4,3,10,9,11]
[8,7,6,12,5,11,2,4,10,1,3,9]=>[10,11,1,2,12,7,8,6,3,4,5,9]
[10,7,2,6,5,9,4,8,12,1,3,11]=>[12,7,1,10,6,4,9,2,5,8,3,11]
[7,6,12,5,2,4,9,11,8,10,1,3]=>[10,5,1,2,12,7,6,11,4,8,9,3]
[2,12,7,11,6,10,5,9,4,8,1,3]=>[8,2,1,9,10,11,12,4,5,6,7,3]
[6,10,5,9,8,7,2,4,12,1,3,11]=>[12,7,1,2,8,6,9,10,5,4,3,11]
[2,12,6,9,5,8,7,11,4,10,1,3]=>[10,2,1,11,9,12,8,5,6,4,7,3]
[6,8,12,5,7,11,10,9,2,4,1,3]=>[4,9,1,2,10,6,5,8,11,12,7,3]
[12,11,6,10,5,9,8,7,2,4,1,3]=>[4,7,1,2,8,9,10,11,3,5,12,6]
[10,9,8,7,6,5,2,4,12,1,3,11]=>[12,5,1,2,6,7,8,9,10,4,3,11]
[12,9,8,7,2,6,5,11,4,10,1,3]=>[10,7,1,8,6,4,9,12,11,2,5,3]
[8,7,6,12,5,11,10,9,2,4,1,3]=>[4,9,1,2,10,7,8,6,11,12,5,3]
[7,12,6,11,10,9,8,5,2,4,1,3]=>[4,5,1,2,8,9,7,10,11,12,3,6]
[12,11,10,9,8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,9,10,11,12,3]
[4,3,2,6,8,10,12,1,5,7,9,11]=>[12,3,4,2,1,6,5,8,7,10,9,11]
[4,12,3,11,2,6,8,10,1,5,7,9]=>[10,11,12,4,1,2,5,6,7,8,3,9]
[4,10,3,9,2,6,8,12,1,5,7,11]=>[12,9,10,4,1,2,5,6,3,8,7,11]
[4,3,12,9,11,2,6,8,10,1,5,7]=>[10,11,4,3,1,2,5,6,12,8,9,7]
[12,11,4,10,3,9,2,6,8,1,5,7]=>[8,9,10,11,1,2,5,6,3,4,12,7]
[4,8,3,7,2,6,10,12,1,5,9,11]=>[12,7,8,4,1,2,3,6,5,10,9,11]
[4,8,12,3,7,11,2,6,10,1,5,9]=>[10,11,12,4,1,2,3,8,5,6,7,9]
[4,3,10,7,9,2,6,8,12,1,5,11]=>[12,9,4,3,1,2,10,6,7,8,5,11]
[4,3,7,9,12,11,2,6,8,10,1,5]=>[10,11,4,3,1,2,7,6,9,8,12,5]
[12,4,11,3,10,7,9,2,6,8,1,5]=>[8,9,11,12,1,2,10,6,7,3,4,5]
[10,9,4,8,3,7,2,6,12,1,5,11]=>[12,7,8,9,1,2,3,4,10,6,5,11]
[12,4,9,3,8,7,11,2,6,10,1,5]=>[10,11,9,12,1,2,8,3,4,6,7,5]
[4,8,12,11,10,3,7,9,2,6,1,5]=>[6,9,10,4,1,2,3,8,7,11,12,5]
[12,11,10,9,4,8,3,7,2,6,1,5]=>[6,7,8,9,1,2,3,4,10,11,12,5]
[3,6,2,5,4,8,10,12,1,7,9,11]=>[12,6,3,5,2,4,1,8,7,10,9,11]
[3,6,12,2,5,11,4,8,10,1,7,9]=>[10,12,3,11,2,6,1,4,7,8,5,9]
[3,6,10,2,5,9,4,8,12,1,7,11]=>[12,10,3,9,2,6,1,4,5,8,7,11]
[3,12,6,2,5,9,11,4,8,10,1,7]=>[10,6,3,12,4,11,1,2,5,8,9,7]
[12,11,3,6,10,2,5,9,4,8,1,7]=>[8,10,11,9,2,3,1,4,5,6,12,7]
[3,5,8,2,4,7,6,10,12,1,9,11]=>[12,8,3,2,5,7,4,6,1,10,9,11]
[3,5,8,12,2,4,7,11,6,10,1,9]=>[10,12,3,2,5,11,4,8,1,6,7,9]
[3,5,7,10,2,4,6,9,8,12,1,11]=>[12,10,3,2,5,4,7,9,6,8,1,11]
[3,5,7,9,12,2,4,6,8,11,10,1]=>[10,11,3,1,5,4,7,6,9,12,8,2]
[12,11,3,5,7,10,2,4,6,9,8,1]=>[8,9,10,3,1,4,5,11,6,7,12,2]
[10,9,3,5,8,2,4,7,6,12,1,11]=>[12,8,9,2,3,7,4,5,10,6,1,11]
[9,8,3,5,7,12,2,4,6,11,10,1]=>[10,11,8,1,3,4,5,9,7,12,6,2]
[3,5,12,11,8,10,2,4,7,9,6,1]=>[6,9,3,1,5,10,4,11,7,8,12,2]
[12,11,10,9,3,5,8,2,4,7,6,1]=>[6,7,8,3,1,9,4,5,10,11,12,2]
[8,7,3,6,2,5,4,10,12,1,9,11]=>[12,6,7,5,2,3,8,4,1,10,9,11]
[8,7,3,6,12,2,5,11,4,10,1,9]=>[10,12,7,8,2,4,11,6,1,3,5,9]
[7,6,3,5,10,2,4,9,8,12,1,11]=>[12,10,6,2,3,7,5,9,4,8,1,11]
[7,6,3,5,9,12,2,4,8,11,10,1]=>[10,11,6,1,3,7,5,4,9,12,8,2]
[7,12,6,11,3,5,10,2,4,9,8,1]=>[8,9,10,3,1,11,7,12,4,6,5,2]
[3,6,10,9,8,2,5,7,4,12,1,11]=>[12,8,3,7,2,6,5,9,10,4,1,11]
[3,9,6,8,5,7,12,2,4,11,10,1]=>[10,11,3,1,8,9,5,6,7,12,4,2]
[3,2,12,6,8,11,10,5,7,9,4,1]=>[4,3,2,9,10,11,6,5,7,12,8,1]
[12,11,3,6,10,9,8,2,5,7,4,1]=>[4,7,8,9,3,1,5,10,11,6,12,2]
[10,9,8,7,3,6,2,5,4,12,1,11]=>[12,6,7,5,2,3,8,9,10,4,1,11]
[9,8,7,6,3,5,12,2,4,11,10,1]=>[10,11,6,1,3,7,8,9,5,12,4,2]
[8,7,3,6,12,11,10,2,5,9,4,1]=>[4,9,10,7,3,1,8,6,5,11,12,2]
[3,12,7,11,10,9,6,8,2,5,4,1]=>[4,5,3,8,1,9,10,6,11,12,7,2]
[12,11,10,9,8,7,3,6,2,5,4,1]=>[4,5,6,7,3,1,8,9,10,11,12,2]
[6,5,4,3,2,8,10,12,1,7,9,11]=>[12,3,4,5,6,2,1,8,7,10,9,11]
[6,5,4,12,3,11,2,8,10,1,7,9]=>[10,11,12,5,6,4,1,2,7,8,3,9]
[6,5,4,10,3,9,2,8,12,1,7,11]=>[12,9,10,5,6,4,1,2,3,8,7,11]
[6,12,5,4,3,9,11,2,8,10,1,7]=>[10,11,4,5,12,6,1,2,3,8,9,7]
[5,4,3,8,2,7,6,10,12,1,9,11]=>[12,8,4,5,3,7,2,6,1,10,9,11]
[5,4,3,8,12,2,7,11,6,10,1,9]=>[10,12,4,5,3,11,2,8,1,6,7,9]
[5,4,3,7,10,2,6,9,8,12,1,11]=>[12,10,4,5,3,2,7,9,6,8,1,11]
[5,4,3,7,9,12,2,6,8,11,10,1]=>[10,11,4,5,3,1,7,6,9,12,8,2]
[5,12,4,11,3,7,10,2,6,9,8,1]=>[8,9,10,11,5,3,4,12,6,7,1,2]
[5,10,4,9,3,8,2,7,6,12,1,11]=>[12,8,9,10,5,7,2,3,4,6,1,11]
[5,9,4,8,3,7,12,2,6,11,10,1]=>[10,11,8,9,5,1,3,4,7,12,6,2]
[12,11,5,4,3,8,10,2,7,9,6,1]=>[6,9,4,5,10,11,3,1,7,8,12,2]
[12,11,5,10,4,9,3,8,2,7,6,1]=>[6,7,8,9,10,11,3,4,5,1,12,2]
[4,8,3,7,6,5,2,10,12,1,9,11]=>[12,5,6,4,7,8,3,2,1,10,9,11]
[4,8,3,7,6,12,5,11,2,10,1,9]=>[10,11,8,4,12,7,3,6,1,2,5,9]
[4,7,3,6,5,10,2,9,8,12,1,11]=>[12,10,7,4,6,3,5,9,2,8,1,11]
[4,7,3,6,5,9,12,2,8,11,10,1]=>[10,11,7,4,6,3,5,1,9,12,8,2]
[4,7,12,3,6,11,5,10,2,9,8,1]=>[8,9,10,4,12,5,7,11,3,1,6,2]
[4,6,10,3,5,9,8,7,2,12,1,11]=>[12,7,8,4,3,6,9,10,5,2,1,11]
[4,6,9,3,5,8,7,12,2,11,10,1]=>[10,11,9,4,3,6,8,5,7,12,1,2]
[4,6,8,12,3,5,7,11,10,9,2,1]=>[2,9,10,4,3,6,5,8,11,12,7,1]
[12,11,4,6,10,3,5,9,8,7,2,1]=>[2,7,8,9,1,3,10,11,5,6,12,4]
[10,9,4,8,3,7,6,5,2,12,1,11]=>[12,5,6,7,8,9,2,3,10,4,1,11]
[9,8,4,7,3,6,5,12,2,11,10,1]=>[10,11,7,8,6,3,4,9,5,12,1,2]
[8,7,4,6,12,3,5,11,10,9,2,1]=>[2,9,10,7,3,4,8,6,11,12,5,1]
[4,7,12,11,10,3,6,9,8,5,2,1]=>[2,5,8,4,9,3,7,10,6,11,12,1]
[12,11,10,9,4,8,3,7,6,5,2,1]=>[2,5,6,7,8,9,1,3,10,11,12,4]
[8,7,6,5,4,3,2,10,12,1,9,11]=>[12,3,4,5,6,7,8,2,1,10,9,11]
[8,7,6,5,4,12,3,11,2,10,1,9]=>[10,11,12,5,6,7,8,4,1,2,3,9]
[7,6,5,4,3,10,2,9,8,12,1,11]=>[12,10,4,5,6,7,3,9,2,8,1,11]
[7,6,5,4,3,9,12,2,8,11,10,1]=>[10,11,4,5,6,7,3,1,9,12,8,2]
[7,6,5,12,4,11,3,10,2,9,8,1]=>[8,9,10,11,6,7,5,12,3,4,1,2]
[6,5,4,10,3,9,8,7,2,12,1,11]=>[12,7,8,5,6,4,9,10,3,2,1,11]
[6,5,4,9,3,8,7,12,2,11,10,1]=>[10,11,9,5,6,4,8,3,7,12,1,2]
[6,5,4,8,12,3,7,11,10,9,2,1]=>[2,9,10,5,6,4,3,8,11,12,7,1]
[6,12,5,11,4,10,3,9,8,7,2,1]=>[2,7,8,9,10,6,11,12,5,1,3,4]
[5,10,4,9,8,7,6,3,2,12,1,11]=>[12,3,6,7,5,8,9,10,2,4,1,11]
[5,9,4,8,7,6,3,12,2,11,10,1]=>[10,11,6,7,5,8,9,4,3,12,1,2]
[5,8,4,7,6,12,3,11,10,9,2,1]=>[2,9,10,8,5,7,4,6,11,12,3,1]
[5,7,12,4,6,11,10,9,8,3,2,1]=>[2,3,8,9,5,1,7,10,11,12,6,4]
[12,11,5,10,4,9,8,7,6,3,2,1]=>[2,3,6,7,8,9,10,11,4,5,12,1]
[10,9,8,7,6,5,4,3,2,12,1,11]=>[12,3,4,5,6,7,8,9,10,2,1,11]
[9,8,7,6,5,4,3,12,2,11,10,1]=>[10,11,4,5,6,7,8,9,3,12,1,2]
[8,7,6,5,4,12,3,11,10,9,2,1]=>[2,9,10,5,6,7,8,4,11,12,3,1]
[7,6,5,12,4,11,10,9,8,3,2,1]=>[2,3,8,9,6,7,5,10,11,12,1,4]
[6,12,5,11,10,9,8,7,4,3,2,1]=>[2,3,4,7,8,6,9,10,11,12,5,1]
[1,3,5,7,9,12,2,4,6,8,10,11]=>[1,12,3,2,5,4,7,6,9,8,10,11]
[9,12,1,3,5,7,11,2,4,6,8,10]=>[12,11,1,2,3,4,5,6,9,8,7,10]
[7,9,1,3,5,8,12,2,4,6,10,11]=>[9,12,1,2,3,4,7,5,8,6,10,11]
[12,7,9,1,3,5,8,11,2,4,6,10]=>[9,11,1,2,3,4,12,5,7,6,8,10]
[7,8,12,11,1,3,5,10,2,4,6,9]=>[11,10,1,2,3,4,7,8,6,5,12,9]
[5,7,1,3,6,9,12,2,4,8,10,11]=>[7,12,1,2,5,3,6,4,9,8,10,11]
[5,6,9,12,1,3,7,11,2,4,8,10]=>[12,11,1,2,5,6,3,4,9,8,7,10]
[9,5,7,1,3,6,8,12,2,4,10,11]=>[7,12,1,2,9,3,5,6,8,4,10,11]
[6,12,5,9,1,3,7,8,11,2,4,10]=>[9,11,1,2,12,6,3,7,5,4,8,10]
[8,6,12,5,11,1,3,7,10,2,4,9]=>[11,10,1,2,12,8,3,6,4,7,5,9]
[5,6,9,8,1,3,7,12,2,4,10,11]=>[8,9,2,1,5,6,3,12,7,4,10,11]
[5,6,8,12,9,1,3,7,11,2,4,10]=>[9,12,2,1,5,6,3,8,11,4,7,10]
[6,12,5,8,7,11,1,3,10,2,4,9]=>[11,10,1,2,12,6,8,5,4,3,7,9]
[5,6,7,12,11,10,1,3,9,2,4,8]=>[10,9,1,2,5,6,7,4,3,11,12,8]
[3,5,1,4,7,9,12,2,6,8,10,11]=>[5,12,3,1,4,2,7,6,9,8,10,11]
[3,4,9,12,1,5,7,11,2,6,8,10]=>[12,11,3,4,1,2,5,6,9,8,7,10]
[3,4,7,9,1,5,8,12,2,6,10,11]=>[9,12,3,4,1,2,7,5,8,6,10,11]
[12,3,4,7,9,1,5,8,11,2,6,10]=>[9,11,12,3,1,2,4,5,7,6,8,10]
[7,8,12,3,4,11,1,5,10,2,6,9]=>[11,10,12,3,1,2,7,8,6,5,4,9]
[7,3,5,1,4,6,9,12,2,8,10,11]=>[5,12,7,1,3,4,6,2,9,8,10,11]
[6,3,4,9,12,1,5,7,11,2,8,10]=>[12,11,6,3,1,4,5,2,9,8,7,10]
[4,9,3,7,1,5,6,8,12,2,10,11]=>[7,12,9,4,1,5,3,6,8,2,10,11]
[4,6,12,3,9,1,5,7,8,11,2,10]=>[9,11,12,4,1,6,5,7,3,2,8,10]
[8,4,6,12,3,11,1,5,7,10,2,9]=>[11,10,12,8,1,4,5,6,2,7,3,9]
[6,4,9,3,8,1,5,7,12,2,10,11]=>[8,12,9,6,1,4,5,3,7,2,10,11]
[6,4,8,12,3,9,1,5,7,11,2,10]=>[9,11,12,6,1,4,5,8,3,2,7,10]
[4,6,12,8,3,7,11,1,5,10,2,9]=>[11,10,8,4,1,6,3,12,2,5,7,9]
[6,4,7,12,11,3,10,1,5,9,2,8]=>[10,9,11,6,1,4,7,2,5,3,12,8]
[3,4,7,6,1,5,9,12,2,8,10,11]=>[6,7,3,4,2,12,5,1,9,8,10,11]
[3,4,6,5,9,12,1,7,11,2,8,10]=>[12,11,3,4,6,5,1,2,9,8,7,10]
[3,4,6,9,7,1,5,8,12,2,10,11]=>[7,9,3,4,2,6,12,5,8,1,10,11]
[12,3,4,6,5,9,1,7,8,11,2,10]=>[9,11,12,3,6,4,1,7,5,2,8,10]
[8,12,3,4,6,5,11,1,7,10,2,9]=>[11,10,12,3,6,4,1,8,2,7,5,9]
[4,9,3,6,5,8,1,7,12,2,10,11]=>[8,12,9,4,6,3,1,5,7,2,10,11]
[4,8,3,5,12,6,9,1,7,11,2,10]=>[9,11,8,4,3,12,1,5,6,2,7,10]
[12,4,8,3,6,5,7,11,1,10,2,9]=>[11,10,8,12,6,3,5,4,2,1,7,9]
[4,7,5,12,3,11,6,10,1,9,2,8]=>[10,9,12,4,7,11,5,2,1,6,3,8]
[3,4,5,9,8,7,1,6,12,2,10,11]=>[7,8,3,4,5,1,9,12,6,2,10,11]
[3,4,5,8,7,12,9,1,6,11,2,10]=>[9,12,3,4,5,2,8,7,11,1,6,10]
[7,3,4,5,12,8,6,11,1,10,2,9]=>[11,10,7,3,4,8,5,12,2,1,6,9]
[4,5,12,3,7,6,11,10,1,9,2,8]=>[10,9,11,4,5,7,1,2,3,12,6,8]
[3,4,5,6,12,11,10,9,1,8,2,7]=>[9,8,3,4,5,6,2,1,10,11,12,7]
[1,3,2,5,7,9,12,4,6,8,10,11]=>[1,3,2,12,5,4,7,6,9,8,10,11]
[1,2,9,12,3,5,7,11,4,6,8,10]=>[1,2,12,11,3,4,5,6,9,8,7,10]
[1,2,7,9,3,5,8,12,4,6,10,11]=>[1,2,9,12,3,4,7,5,8,6,10,11]
[12,1,2,7,9,3,5,8,11,4,6,10]=>[12,1,9,11,3,4,2,5,7,6,8,10]
[7,8,12,1,2,11,3,5,10,4,6,9]=>[12,1,11,10,3,4,7,8,6,5,2,9]
[1,2,5,7,3,6,9,12,4,8,10,11]=>[1,2,7,12,5,3,6,4,9,8,10,11]
[1,2,5,6,9,12,3,7,11,4,8,10]=>[1,2,12,11,5,6,3,4,9,8,7,10]
[9,1,2,5,7,3,6,8,12,4,10,11]=>[9,1,7,12,2,3,5,6,8,4,10,11]
[6,12,1,2,5,9,3,7,8,11,4,10]=>[12,1,9,11,2,6,3,7,5,4,8,10]
[8,6,12,1,2,5,11,3,7,10,4,9]=>[12,1,11,10,2,8,3,6,4,7,5,9]
[5,6,9,1,2,8,3,7,12,4,10,11]=>[9,1,8,12,5,6,3,2,7,4,10,11]
[5,6,8,12,1,2,9,3,7,11,4,10]=>[12,1,9,11,5,6,3,8,2,4,7,10]
[6,12,5,8,1,2,7,11,3,10,4,9]=>[8,1,11,10,12,6,2,5,4,3,7,9]
[5,6,7,12,11,1,2,10,3,9,4,8]=>[11,1,10,9,5,6,7,4,3,2,12,8]
[5,1,3,2,4,7,9,12,6,8,10,11]=>[5,3,1,2,4,12,7,6,9,8,10,11]
[4,1,2,9,12,3,5,7,11,6,8,10]=>[4,1,12,2,3,11,5,6,9,8,7,10]
[4,1,2,7,9,3,5,8,12,6,10,11]=>[4,1,9,2,3,12,7,5,8,6,10,11]
[2,12,1,4,7,9,3,5,8,11,6,10]=>[12,2,9,1,3,11,4,5,7,6,8,10]
[2,7,8,12,1,4,11,3,5,10,6,9]=>[12,2,11,1,3,10,7,8,6,5,4,9]
[2,7,1,5,3,4,6,9,12,8,10,11]=>[7,2,5,3,1,4,6,12,9,8,10,11]
[2,6,1,4,9,12,3,5,7,11,8,10]=>[6,2,12,1,3,4,5,11,9,8,7,10]
[2,4,9,1,7,3,5,6,8,12,10,11]=>[9,2,7,4,3,5,1,6,8,12,10,11]
[2,4,6,12,1,9,3,5,7,8,11,10]=>[12,2,9,4,3,6,5,7,1,11,8,10]
[8,2,4,6,12,1,11,3,5,7,10,9]=>[12,8,11,2,3,4,5,6,10,7,1,9]
[6,2,4,9,1,8,3,5,7,12,10,11]=>[9,6,8,2,3,4,5,1,7,12,10,11]
[6,2,4,8,12,1,9,3,5,7,11,10]=>[12,6,9,2,3,4,5,8,1,11,7,10]
[4,6,12,2,8,1,7,11,3,5,10,9]=>[8,12,11,4,3,6,1,2,10,5,7,9]
[6,4,7,12,2,11,1,10,3,5,9,8]=>[11,12,10,6,3,4,7,9,5,1,2,8]
[4,2,7,1,6,3,5,9,12,8,10,11]=>[7,4,6,2,3,1,5,12,9,8,10,11]
[4,2,6,1,5,9,12,3,7,11,8,10]=>[6,4,12,2,1,5,3,11,9,8,7,10]
[4,2,6,9,1,7,3,5,8,12,10,11]=>[9,4,7,2,3,6,1,5,8,12,10,11]
[2,12,4,6,1,5,9,3,7,8,11,10]=>[6,2,9,12,1,4,3,7,5,11,8,10]
[2,8,12,4,6,1,5,11,3,7,10,9]=>[6,2,11,12,1,4,3,8,10,7,5,9]
[2,4,9,6,1,5,8,3,7,12,10,11]=>[6,2,9,4,3,8,1,5,7,12,10,11]
[2,4,8,5,12,1,6,9,3,7,11,10]=>[12,2,9,4,8,1,3,5,6,11,7,10]
[12,2,4,8,6,1,5,7,11,3,10,9]=>[6,8,12,3,2,11,5,4,10,1,7,9]
[4,7,2,5,12,11,1,6,10,3,9,8]=>[11,7,10,4,2,1,5,9,3,6,12,8]
[4,2,5,9,8,1,7,3,6,12,10,11]=>[8,4,7,2,5,3,1,9,6,12,10,11]
[4,2,5,8,7,12,1,9,3,6,11,10]=>[12,4,9,2,5,3,8,7,1,11,6,10]
[2,7,4,5,12,8,1,6,11,3,10,9]=>[8,2,12,7,4,3,5,11,10,1,6,9]
[2,4,5,12,7,6,11,1,10,3,9,8]=>[11,2,10,4,5,7,12,9,3,1,6,8]
[4,2,5,6,12,11,10,1,9,3,8,7]=>[10,4,9,2,5,6,8,3,1,11,12,7]
[1,2,5,4,3,7,9,12,6,8,10,11]=>[1,2,4,5,3,12,7,6,9,8,10,11]
[1,2,4,3,9,12,5,7,11,6,8,10]=>[1,2,4,3,12,11,5,6,9,8,7,10]
[1,2,4,3,7,9,5,8,12,6,10,11]=>[1,2,4,3,9,12,7,5,8,6,10,11]
[1,2,3,12,4,7,9,5,8,11,6,10]=>[1,2,3,12,9,11,4,5,7,6,8,10]
[1,2,3,7,8,12,4,11,5,10,6,9]=>[1,2,3,12,11,10,7,8,6,5,4,9]
[1,2,4,7,5,3,6,9,12,8,10,11]=>[1,2,5,4,7,3,6,12,9,8,10,11]
[1,2,4,6,3,9,12,5,7,11,8,10]=>[1,2,6,4,12,3,5,11,9,8,7,10]
[9,1,2,4,3,7,5,6,8,12,10,11]=>[9,1,4,2,7,5,3,6,8,12,10,11]
[6,1,2,3,12,4,9,5,7,8,11,10]=>[6,1,2,12,9,3,5,7,4,11,8,10]
[3,8,1,2,6,12,4,11,5,7,10,9]=>[8,1,3,12,11,2,5,6,10,7,4,9]
[6,9,1,2,4,3,8,5,7,12,10,11]=>[9,1,4,2,8,6,5,3,7,12,10,11]
[6,8,1,2,3,12,4,9,5,7,11,10]=>[8,1,2,12,9,6,5,3,4,11,7,10]
[6,3,12,1,2,8,4,7,11,5,10,9]=>[12,1,6,8,11,3,4,2,10,5,7,9]
[6,7,3,12,1,2,11,4,10,5,9,8]=>[12,1,7,11,10,6,3,9,5,4,2,8]
[2,7,1,4,3,6,5,9,12,8,10,11]=>[7,2,4,1,6,3,5,12,9,8,10,11]
[2,6,1,4,3,5,9,12,7,11,8,10]=>[6,2,4,1,3,5,12,11,9,8,7,10]
[2,6,1,3,9,4,7,5,8,12,10,11]=>[6,2,1,9,7,3,4,5,8,12,10,11]
[2,3,12,1,6,4,5,9,7,8,11,10]=>[12,2,3,6,4,1,9,7,5,11,8,10]
[2,3,8,12,1,6,4,5,11,7,10,9]=>[12,2,3,6,4,1,11,8,10,7,5,9]
[9,2,6,1,4,3,5,8,7,12,10,11]=>[6,9,4,1,3,2,8,5,7,12,10,11]
[8,2,5,1,3,12,4,6,9,7,11,10]=>[5,8,1,12,2,4,9,3,6,11,7,10]
[3,12,2,8,1,6,4,5,7,11,10,9]=>[8,12,3,6,4,1,5,2,10,11,7,9]
[7,5,2,3,12,1,11,4,6,10,9,8]=>[12,5,2,7,11,3,4,9,10,6,1,8]
[2,5,3,9,1,8,4,7,6,12,10,11]=>[9,2,5,8,3,7,4,1,6,12,10,11]
[2,5,3,8,1,7,12,4,9,6,11,10]=>[8,2,5,12,3,9,1,7,4,11,6,10]
[2,3,7,5,12,1,8,4,6,11,10,9]=>[12,2,3,8,7,4,5,1,10,11,6,9]
[5,2,3,12,7,1,6,11,4,10,9,8]=>[7,5,2,12,3,4,11,9,10,1,6,8]
[2,5,3,6,12,11,1,10,4,9,8,7]=>[11,2,5,10,3,6,8,9,4,1,12,7]
[1,2,3,7,6,5,4,9,12,8,10,11]=>[1,2,3,5,6,7,4,12,9,8,10,11]
[1,2,3,6,5,4,9,12,7,11,8,10]=>[1,2,3,5,6,4,12,11,9,8,7,10]
[1,2,3,6,5,9,7,4,8,12,10,11]=>[1,2,3,7,6,5,9,4,8,12,10,11]
[1,2,3,5,12,6,4,9,7,8,11,10]=>[1,2,3,6,5,12,9,7,4,11,8,10]
[1,2,3,5,8,12,6,4,11,7,10,9]=>[1,2,3,6,5,12,11,8,10,7,4,9]
[5,1,2,3,9,6,4,8,7,12,10,11]=>[5,1,2,6,3,9,8,4,7,12,10,11]
[5,1,2,3,8,4,12,6,9,7,11,10]=>[5,1,2,8,3,12,9,4,6,11,7,10]
[3,12,1,2,5,8,6,4,7,11,10,9]=>[12,1,3,6,2,8,4,5,10,11,7,9]
[7,3,12,1,2,5,4,11,6,10,9,8]=>[12,1,7,5,2,11,3,9,10,6,4,8]
[2,3,9,1,5,4,8,7,6,12,10,11]=>[9,2,3,5,1,7,8,4,6,12,10,11]
[2,3,8,1,5,4,7,12,9,6,11,10]=>[8,2,3,5,1,9,4,7,12,11,6,10]
[2,3,7,12,1,5,4,8,6,11,10,9]=>[12,2,3,5,1,8,7,4,10,11,6,9]
[3,12,2,7,1,5,4,6,11,10,9,8]=>[7,12,3,5,1,4,2,9,10,11,6,8]
[2,3,6,4,12,1,11,5,10,9,8,7]=>[12,2,3,6,11,4,8,9,10,5,1,7]
[1,2,3,4,9,8,7,6,5,12,10,11]=>[1,2,3,4,6,7,8,9,5,12,10,11]
[1,2,3,4,8,7,6,12,9,5,11,10]=>[1,2,3,4,9,7,8,6,12,11,5,10]
[7,1,2,3,6,4,12,8,5,11,10,9]=>[7,1,2,6,8,3,4,12,10,11,5,9]
[3,6,1,2,4,12,7,5,11,10,9,8]=>[6,1,3,2,7,4,12,9,10,11,5,8]
[2,3,4,12,1,6,5,11,10,9,8,7]=>[12,2,3,4,6,1,8,9,10,11,5,7]
[1,2,3,4,5,12,11,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,11,12,6]
[12,2,10,4,8,6,5,7,3,9,1,11]=>[9,12,7,10,6,8,5,4,3,2,1,11]
[12,2,11,4,8,6,5,7,3,9,10,1]=>[10,12,7,11,6,8,5,4,3,9,2,1]
[12,2,10,4,9,6,5,7,8,3,1,11]=>[3,8,12,10,6,9,5,7,4,1,2,11]
[12,2,11,4,9,6,5,7,8,3,10,1]=>[10,12,8,11,6,9,5,7,4,3,2,1]
[12,2,11,4,10,6,5,7,8,9,3,1]=>[3,9,12,11,6,10,5,7,8,4,1,2]
[12,2,10,4,8,7,6,5,3,9,1,11]=>[9,12,5,6,7,8,10,3,4,2,1,11]
[12,2,11,4,8,7,6,5,3,9,10,1]=>[10,12,5,6,7,8,11,3,4,9,2,1]
[12,2,10,4,9,7,6,5,8,3,1,11]=>[3,8,12,10,6,7,9,5,4,1,2,11]
[12,2,11,4,9,7,6,5,8,3,10,1]=>[10,12,8,11,6,7,9,5,4,3,2,1]
[12,2,11,4,10,7,6,5,8,9,3,1]=>[3,9,12,11,6,7,10,5,8,4,1,2]
[12,2,10,4,9,8,6,7,5,3,1,11]=>[3,5,7,12,10,8,6,9,2,4,1,11]
[12,2,11,4,9,8,6,7,5,3,10,1]=>[10,12,5,7,11,8,6,9,3,4,2,1]
[12,2,11,4,10,8,6,7,5,9,3,1]=>[3,9,12,11,7,8,6,10,5,4,1,2]
[12,2,11,4,10,9,6,7,8,5,3,1]=>[3,5,8,12,11,9,6,7,10,2,4,1]
[12,2,10,8,5,6,4,7,3,9,1,11]=>[9,12,7,6,8,5,4,10,3,2,1,11]
[12,2,11,8,5,6,4,7,3,9,10,1]=>[10,12,7,6,8,5,4,11,3,9,2,1]
[12,2,10,9,5,6,4,7,8,3,1,11]=>[3,8,12,6,9,5,4,7,10,1,2,11]
[12,2,11,9,5,6,4,7,8,3,10,1]=>[10,12,8,6,9,5,4,7,11,3,2,1]
[12,2,11,10,5,6,4,7,8,9,3,1]=>[3,9,12,6,10,5,4,7,8,11,1,2]
[12,2,10,8,5,7,6,4,3,9,1,11]=>[9,12,4,6,7,8,3,10,5,2,1,11]
[12,2,11,8,5,7,6,4,3,9,10,1]=>[10,12,4,6,7,8,3,11,5,9,2,1]
[12,2,10,9,5,7,6,4,8,3,1,11]=>[3,8,12,6,7,9,4,5,10,1,2,11]
[12,2,11,9,5,7,6,4,8,3,10,1]=>[10,12,8,6,7,9,4,5,11,3,2,1]
[12,2,11,10,5,7,6,4,8,9,3,1]=>[3,9,12,6,7,10,4,5,8,11,1,2]
[12,2,10,9,5,8,6,7,4,3,1,11]=>[3,4,7,12,9,8,6,5,10,2,1,11]
[12,2,11,9,5,8,6,7,4,3,10,1]=>[10,12,4,7,9,8,6,5,11,3,2,1]
[12,2,11,10,5,8,6,7,4,9,3,1]=>[3,9,12,7,10,8,6,5,4,11,1,2]
[12,2,11,10,5,9,6,7,8,4,3,1]=>[3,4,8,12,10,9,6,7,5,11,2,1]
[12,2,10,8,7,6,5,4,3,9,1,11]=>[9,12,4,5,6,7,8,10,3,2,1,11]
[12,2,11,8,7,6,5,4,3,9,10,1]=>[10,12,4,5,6,7,8,11,3,9,2,1]
[12,2,10,9,7,6,5,4,8,3,1,11]=>[3,8,12,5,6,7,9,4,10,1,2,11]
[12,2,11,9,7,6,5,4,8,3,10,1]=>[10,12,8,5,6,7,9,4,11,3,2,1]
[12,2,11,10,7,6,5,4,8,9,3,1]=>[3,9,12,5,6,7,10,4,8,11,1,2]
[12,2,10,9,8,6,5,7,4,3,1,11]=>[3,4,7,12,6,8,5,9,10,2,1,11]
[12,2,11,9,8,6,5,7,4,3,10,1]=>[10,12,4,7,6,8,5,9,11,3,2,1]
[12,2,11,10,8,6,5,7,4,9,3,1]=>[3,9,12,7,6,8,5,10,4,11,1,2]
[12,2,11,10,9,6,5,7,8,4,3,1]=>[3,4,8,12,6,9,5,7,10,11,2,1]
[12,2,10,9,8,7,6,5,4,3,1,11]=>[3,4,5,6,7,8,9,10,12,1,2,11]
[12,2,11,9,8,7,6,5,4,3,10,1]=>[10,12,4,5,6,7,8,9,11,3,2,1]
[12,2,11,10,8,7,6,5,4,9,3,1]=>[3,9,12,5,6,7,8,10,4,11,1,2]
[12,2,11,10,9,7,6,5,8,4,3,1]=>[3,4,8,12,6,7,9,5,10,11,2,1]
[12,2,11,10,9,8,6,7,5,4,3,1]=>[3,4,5,7,12,8,6,9,10,11,1,2]
[12,10,3,4,8,6,5,7,2,9,1,11]=>[9,7,10,3,6,8,5,4,2,12,1,11]
[12,11,3,4,8,6,5,7,2,9,10,1]=>[10,7,11,3,6,8,5,4,2,9,12,1]
[12,10,3,4,9,6,5,7,8,2,1,11]=>[2,8,10,3,6,9,5,7,4,12,1,11]
[12,11,3,4,9,6,5,7,8,2,10,1]=>[10,8,11,3,6,9,5,7,4,2,12,1]
[12,11,3,4,10,6,5,7,8,9,2,1]=>[2,9,11,3,6,10,5,7,8,4,12,1]
[12,10,3,4,8,7,6,5,2,9,1,11]=>[9,5,6,2,7,8,10,4,3,12,1,11]
[12,11,3,4,8,7,6,5,2,9,10,1]=>[10,5,6,2,7,8,11,4,3,9,12,1]
[12,10,3,4,9,7,6,5,8,2,1,11]=>[2,8,10,3,6,7,9,5,4,12,1,11]
[12,11,3,4,9,7,6,5,8,2,10,1]=>[10,8,11,3,6,7,9,5,4,2,12,1]
[12,11,3,4,10,7,6,5,8,9,2,1]=>[2,9,11,3,6,7,10,5,8,4,12,1]
[12,10,3,4,9,8,6,7,5,2,1,11]=>[2,5,7,1,10,8,6,9,4,12,3,11]
[12,11,3,4,9,8,6,7,5,2,10,1]=>[10,5,7,2,11,8,6,9,4,3,12,1]
[12,11,3,4,10,8,6,7,5,9,2,1]=>[2,9,11,3,7,8,6,10,5,4,12,1]
[12,11,3,4,10,9,6,7,8,5,2,1]=>[2,5,8,1,11,9,6,7,10,4,12,3]
[12,10,3,8,5,6,4,7,2,9,1,11]=>[9,7,10,6,8,5,4,3,2,12,1,11]
[12,11,3,8,5,6,4,7,2,9,10,1]=>[10,7,11,6,8,5,4,3,2,9,12,1]
[12,10,3,9,5,6,4,7,8,2,1,11]=>[2,8,10,6,9,5,4,7,3,12,1,11]
[12,11,3,9,5,6,4,7,8,2,10,1]=>[10,8,11,6,9,5,4,7,3,2,12,1]
[12,11,3,10,5,6,4,7,8,9,2,1]=>[2,9,11,6,10,5,4,7,8,3,12,1]
[12,10,3,8,5,7,6,4,2,9,1,11]=>[9,4,6,7,10,8,3,5,2,12,1,11]
[12,11,3,8,5,7,6,4,2,9,10,1]=>[10,4,6,7,11,8,3,5,2,9,12,1]
[12,10,3,9,5,7,6,4,8,2,1,11]=>[2,8,10,6,7,9,4,5,3,12,1,11]
[12,11,3,9,5,7,6,4,8,2,10,1]=>[10,8,11,6,7,9,4,5,3,2,12,1]
[12,11,3,10,5,7,6,4,8,9,2,1]=>[2,9,11,6,7,10,4,5,8,3,12,1]
[12,10,3,9,5,8,6,7,4,2,1,11]=>[2,4,7,10,9,8,6,5,1,12,3,11]
[12,11,3,9,5,8,6,7,4,2,10,1]=>[10,4,7,11,9,8,6,5,2,3,12,1]
[12,11,3,10,5,8,6,7,4,9,2,1]=>[2,9,11,7,10,8,6,5,4,3,12,1]
[12,11,3,10,5,9,6,7,8,4,2,1]=>[2,4,8,11,10,9,6,7,5,1,12,3]
[12,10,3,8,7,6,5,4,2,9,1,11]=>[9,4,5,6,7,8,10,3,2,12,1,11]
[12,11,3,8,7,6,5,4,2,9,10,1]=>[10,4,5,6,7,8,11,3,2,9,12,1]
[12,10,3,9,7,6,5,4,8,2,1,11]=>[2,8,10,5,6,7,9,4,3,12,1,11]
[12,11,3,9,7,6,5,4,8,2,10,1]=>[10,8,11,5,6,7,9,4,3,2,12,1]
[12,11,3,10,7,6,5,4,8,9,2,1]=>[2,9,11,5,6,7,10,4,8,3,12,1]
[12,10,3,9,8,6,5,7,4,2,1,11]=>[2,4,7,10,6,8,5,9,1,12,3,11]
[12,11,3,9,8,6,5,7,4,2,10,1]=>[10,4,7,11,6,8,5,9,2,3,12,1]
[12,11,3,10,8,6,5,7,4,9,2,1]=>[2,9,11,7,6,8,5,10,4,3,12,1]
[12,11,3,10,9,6,5,7,8,4,2,1]=>[2,4,8,11,6,9,5,7,10,1,12,3]
[12,10,3,9,8,7,6,5,4,2,1,11]=>[2,4,5,6,7,8,9,10,1,12,3,11]
[12,11,3,9,8,7,6,5,4,2,10,1]=>[10,4,5,6,7,8,9,11,2,3,12,1]
[12,11,3,10,8,7,6,5,4,9,2,1]=>[2,9,11,5,6,7,8,10,4,3,12,1]
[12,11,3,10,9,7,6,5,8,4,2,1]=>[2,4,8,11,6,7,9,5,10,1,12,3]
[12,11,3,10,9,8,6,7,5,4,2,1]=>[2,4,5,7,11,8,6,9,10,3,12,1]
[12,10,8,4,5,6,3,7,2,9,1,11]=>[9,7,6,8,4,5,3,10,2,12,1,11]
[12,11,8,4,5,6,3,7,2,9,10,1]=>[10,7,6,8,4,5,3,11,2,9,12,1]
[12,10,9,4,5,6,3,7,8,2,1,11]=>[2,8,6,9,4,5,3,7,10,12,1,11]
[12,11,9,4,5,6,3,7,8,2,10,1]=>[10,8,6,9,4,5,3,7,11,2,12,1]
[12,11,10,4,5,6,3,7,8,9,2,1]=>[2,9,6,10,4,5,3,7,8,11,12,1]
[12,10,8,4,5,7,6,3,2,9,1,11]=>[9,3,6,7,2,8,5,10,4,12,1,11]
[12,11,8,4,5,7,6,3,2,9,10,1]=>[10,3,6,7,2,8,5,11,4,9,12,1]
[12,10,9,4,5,7,6,3,8,2,1,11]=>[2,8,6,7,3,9,5,4,10,12,1,11]
[12,11,9,4,5,7,6,3,8,2,10,1]=>[10,8,6,7,3,9,5,4,11,2,12,1]
[12,11,10,4,5,7,6,3,8,9,2,1]=>[2,9,6,7,3,10,5,4,8,11,12,1]
[12,10,9,4,5,8,6,7,3,2,1,11]=>[2,3,7,9,4,8,6,5,10,12,1,11]
[12,11,9,4,5,8,6,7,3,2,10,1]=>[10,3,7,9,4,8,6,5,11,2,12,1]
[12,11,10,4,5,8,6,7,3,9,2,1]=>[2,9,7,10,4,8,6,5,3,11,12,1]
[12,11,10,4,5,9,6,7,8,3,2,1]=>[2,3,8,10,4,9,6,7,5,11,12,1]
[12,10,8,4,7,6,5,3,2,9,1,11]=>[9,3,5,6,7,8,4,10,2,12,1,11]
[12,11,8,4,7,6,5,3,2,9,10,1]=>[10,3,5,6,7,8,4,11,2,9,12,1]
[12,10,9,4,7,6,5,3,8,2,1,11]=>[2,8,5,6,7,9,4,3,10,12,1,11]
[12,11,9,4,7,6,5,3,8,2,10,1]=>[10,8,5,6,7,9,4,3,11,2,12,1]
[12,11,10,4,7,6,5,3,8,9,2,1]=>[2,9,5,6,7,10,4,3,8,11,12,1]
[12,10,9,4,8,6,5,7,3,2,1,11]=>[2,3,7,9,6,8,5,4,10,12,1,11]
[12,11,9,4,8,6,5,7,3,2,10,1]=>[10,3,7,9,6,8,5,4,11,2,12,1]
[12,11,10,4,8,6,5,7,3,9,2,1]=>[2,9,7,10,6,8,5,4,3,11,12,1]
[12,11,10,4,9,6,5,7,8,3,2,1]=>[2,3,8,10,6,9,5,7,4,11,12,1]
[12,10,9,4,8,7,6,5,3,2,1,11]=>[2,3,5,6,7,8,9,1,10,12,4,11]
[12,11,9,4,8,7,6,5,3,2,10,1]=>[10,3,5,6,7,8,9,2,11,4,12,1]
[12,11,10,4,8,7,6,5,3,9,2,1]=>[2,9,5,6,7,8,10,3,4,11,12,1]
[12,11,10,4,9,7,6,5,8,3,2,1]=>[2,3,8,10,6,7,9,5,4,11,12,1]
[12,11,10,4,9,8,6,7,5,3,2,1]=>[2,3,5,7,10,8,6,9,1,11,12,4]
[12,10,8,7,5,6,4,3,2,9,1,11]=>[9,3,4,6,7,5,8,10,2,12,1,11]
[12,11,8,7,5,6,4,3,2,9,10,1]=>[10,3,4,6,7,5,8,11,2,9,12,1]
[12,10,9,7,5,6,4,3,8,2,1,11]=>[2,8,4,6,7,5,9,3,10,12,1,11]
[12,11,9,7,5,6,4,3,8,2,10,1]=>[10,8,4,6,7,5,9,3,11,2,12,1]
[12,11,10,7,5,6,4,3,8,9,2,1]=>[2,9,4,6,7,5,10,3,8,11,12,1]
[12,10,9,8,5,6,4,7,3,2,1,11]=>[2,3,7,6,8,5,4,9,10,12,1,11]
[12,11,9,8,5,6,4,7,3,2,10,1]=>[10,3,7,6,8,5,4,9,11,2,12,1]
[12,11,10,8,5,6,4,7,3,9,2,1]=>[2,9,7,6,8,5,4,10,3,11,12,1]
[12,11,10,9,5,6,4,7,8,3,2,1]=>[2,3,8,6,9,5,4,7,10,11,12,1]
[12,10,9,8,5,7,6,4,3,2,1,11]=>[2,3,4,6,7,8,1,9,10,12,5,11]
[12,11,9,8,5,7,6,4,3,2,10,1]=>[10,3,4,6,7,8,2,9,11,5,12,1]
[12,11,10,8,5,7,6,4,3,9,2,1]=>[2,9,4,6,7,8,3,10,5,11,12,1]
[12,11,10,9,5,7,6,4,8,3,2,1]=>[2,3,8,6,7,9,4,5,10,11,12,1]
[12,11,10,9,5,8,6,7,4,3,2,1]=>[2,3,4,7,9,8,6,5,10,11,12,1]
[12,10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,12,1,11]
[12,11,9,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,9,11,2,12,1]
[12,11,10,8,7,6,5,4,3,9,2,1]=>[2,9,4,5,6,7,8,10,3,11,12,1]
[12,11,10,9,7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,9,4,10,11,12,1]
[12,11,10,9,8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,9,10,11,12,1]
[12,11,1,3,5,7,10,2,4,6,8,9]=>[11,10,1,2,3,4,5,6,8,7,12,9]
[9,8,1,3,5,7,12,2,4,6,10,11]=>[8,9,2,1,3,4,5,12,7,6,10,11]
[8,12,9,11,1,3,5,10,2,4,6,7]=>[11,10,1,2,3,4,6,8,12,5,9,7]
[12,11,10,9,1,3,5,8,2,4,6,7]=>[9,8,1,2,3,4,6,5,10,11,12,7]
[7,6,1,3,5,9,12,2,4,8,10,11]=>[6,7,2,1,3,12,5,4,9,8,10,11]
[5,12,6,11,1,3,7,10,2,4,8,9]=>[11,10,1,2,5,12,3,4,8,7,6,9]
[6,9,7,8,1,3,5,12,2,4,10,11]=>[8,12,1,2,3,6,9,7,5,4,10,11]
[6,8,12,7,9,11,1,3,10,2,4,5]=>[11,10,1,2,4,6,12,8,7,3,9,5]
[12,11,6,10,7,9,1,3,8,2,4,5]=>[9,8,1,2,4,11,10,3,7,6,12,5]
[9,8,7,6,1,3,5,12,2,4,10,11]=>[6,7,2,1,3,8,9,12,5,4,10,11]
[8,7,6,12,9,11,1,3,10,2,4,5]=>[11,10,1,2,4,7,8,6,12,3,9,5]
[7,12,8,11,10,9,1,3,6,2,4,5]=>[9,6,1,2,4,3,7,10,11,12,8,5]
[12,11,10,9,8,7,1,3,6,2,4,5]=>[7,6,1,2,4,3,8,9,10,11,12,5]
[5,4,1,3,7,9,12,2,6,8,10,11]=>[4,5,2,12,3,1,7,6,9,8,10,11]
[3,12,4,11,1,5,7,10,2,6,8,9]=>[11,10,3,12,1,2,5,6,8,7,4,9]
[3,9,4,8,1,5,7,12,2,6,10,11]=>[8,12,3,9,1,2,5,4,7,6,10,11]
[3,8,12,4,9,11,1,5,10,2,6,7]=>[11,10,3,12,1,2,6,8,4,5,9,7]
[12,11,3,10,4,9,1,5,8,2,6,7]=>[9,8,11,10,1,2,6,5,4,3,12,7]
[4,7,5,6,1,3,9,12,2,8,10,11]=>[6,12,1,4,7,5,3,2,9,8,10,11]
[12,4,6,3,11,1,5,7,10,2,8,9]=>[11,10,6,12,1,4,5,2,8,7,3,9]
[4,6,9,5,7,8,1,3,12,2,10,11]=>[8,12,1,4,9,6,5,7,3,2,10,11]
[4,6,8,12,5,7,9,11,1,10,2,3]=>[11,10,2,4,12,6,5,8,7,1,9,3]
[12,11,4,6,10,5,7,9,1,8,2,3]=>[9,8,2,11,10,4,5,1,7,6,12,3]
[9,8,4,7,5,6,1,3,12,2,10,11]=>[6,12,1,8,7,5,4,9,3,2,10,11]
[8,7,4,6,12,5,9,11,1,10,2,3]=>[11,10,2,7,8,5,12,6,4,1,9,3]
[7,12,8,11,4,10,5,9,1,6,2,3]=>[9,6,2,11,10,1,7,12,5,4,8,3]
[12,11,10,9,4,8,5,7,1,6,2,3]=>[7,6,2,9,8,1,5,4,10,11,12,3]
[7,6,5,4,1,3,9,12,2,8,10,11]=>[4,5,2,6,7,12,3,1,9,8,10,11]
[5,4,3,12,6,11,1,7,10,2,8,9]=>[11,10,4,5,3,12,1,2,8,7,6,9]
[6,5,4,9,7,8,1,3,12,2,10,11]=>[8,12,1,5,6,4,9,7,3,2,10,11]
[6,5,4,8,12,7,9,11,1,10,2,3]=>[11,10,2,5,6,4,12,8,7,1,9,3]
[4,12,5,11,6,10,7,9,1,8,2,3]=>[9,8,2,4,12,11,10,1,7,6,5,3]
[5,9,6,8,7,4,1,3,12,2,10,11]=>[4,7,1,8,5,12,9,2,3,6,10,11]
[5,8,6,7,4,12,9,11,1,10,2,3]=>[11,10,2,7,5,8,6,4,12,1,9,3]
[5,7,12,6,8,11,10,9,1,4,2,3]=>[9,4,2,1,5,10,7,6,11,12,8,3]
[12,11,5,10,6,9,8,7,1,4,2,3]=>[7,4,2,1,8,9,11,10,5,3,12,6]
[9,8,7,6,5,4,1,3,12,2,10,11]=>[4,5,2,6,7,8,9,12,3,1,10,11]
[8,7,6,5,4,12,9,11,1,10,2,3]=>[11,10,2,5,6,7,8,4,12,1,9,3]
[7,6,5,12,8,11,10,9,1,4,2,3]=>[9,4,2,1,6,7,5,10,11,12,8,3]
[6,12,7,11,10,9,8,5,1,4,2,3]=>[5,4,2,1,8,6,9,10,11,12,3,7]
[12,11,10,9,8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,9,10,11,12,3]
[3,2,1,5,7,9,12,4,6,8,10,11]=>[2,3,1,12,5,4,7,6,9,8,10,11]
[1,12,2,11,3,5,7,10,4,6,8,9]=>[1,12,11,10,3,4,5,6,8,7,2,9]
[1,9,2,8,3,5,7,12,4,6,10,11]=>[1,9,8,12,3,4,5,2,7,6,10,11]
[1,8,12,2,9,11,3,5,10,4,6,7]=>[1,12,11,10,3,4,6,8,2,5,9,7]
[12,11,1,10,2,9,3,5,8,4,6,7]=>[11,10,9,8,3,4,6,5,2,1,12,7]
[1,7,2,6,3,5,9,12,4,8,10,11]=>[1,7,6,12,3,2,5,4,9,8,10,11]
[1,5,12,2,6,11,3,7,10,4,8,9]=>[1,12,11,10,5,2,3,4,8,7,6,9]
[1,6,9,2,7,8,3,5,12,4,10,11]=>[1,9,8,12,3,6,2,7,5,4,10,11]
[1,6,8,12,2,7,9,11,3,10,4,5]=>[1,12,11,10,4,6,2,8,7,3,9,5]
[12,11,1,6,10,2,7,9,3,8,4,5]=>[11,10,9,8,4,1,2,3,7,6,12,5]
[9,8,1,7,2,6,3,5,12,4,10,11]=>[8,7,6,9,3,2,4,12,5,1,10,11]
[8,7,1,6,12,2,9,11,3,10,4,5]=>[7,8,12,11,1,2,10,6,3,4,9,5]
[7,12,8,11,1,10,2,9,3,6,4,5]=>[11,10,9,6,4,3,7,12,2,1,8,5]
[12,11,10,9,1,8,2,7,3,6,4,5]=>[9,8,7,6,4,3,2,1,10,11,12,5]
[2,5,3,4,1,7,9,12,6,8,10,11]=>[4,2,5,3,1,12,7,6,9,8,10,11]
[12,2,4,1,11,3,5,7,10,6,8,9]=>[4,12,11,2,3,10,5,6,8,7,1,9]
[9,2,4,1,8,3,5,7,12,6,10,11]=>[4,9,8,2,3,12,5,1,7,6,10,11]
[8,12,2,1,4,9,11,3,5,10,6,7]=>[2,12,11,1,3,10,6,8,4,5,9,7]
[1,12,11,10,2,4,9,3,5,8,6,7]=>[1,10,9,2,3,8,6,5,4,11,12,7]
[2,4,7,3,5,6,1,9,12,8,10,11]=>[6,2,7,4,3,5,1,12,9,8,10,11]
[12,2,4,6,11,3,1,5,7,10,8,9]=>[3,11,12,1,2,4,5,10,8,7,6,9]
[2,4,6,9,3,5,7,8,1,12,10,11]=>[8,2,9,4,3,6,5,7,1,12,10,11]
[2,4,6,8,12,3,5,7,9,11,10,1]=>[10,2,11,4,1,6,5,8,7,12,9,3]
[12,11,2,4,6,10,3,5,7,9,8,1]=>[8,9,11,3,1,4,5,10,7,6,12,2]
[9,8,2,4,7,3,5,6,1,12,10,11]=>[6,8,7,2,3,5,4,9,1,12,10,11]
[8,7,2,4,6,12,3,5,9,11,10,1]=>[10,7,8,3,1,4,11,6,5,12,9,2]
[7,12,8,11,2,4,10,3,5,9,6,1]=>[6,9,11,3,1,10,7,12,5,4,8,2]
[12,11,10,9,2,4,8,3,5,7,6,1]=>[6,7,9,3,1,8,5,4,10,11,12,2]
[7,6,2,5,3,4,1,9,12,8,10,11]=>[4,6,5,3,2,7,1,12,9,8,10,11]
[5,4,12,2,6,1,11,3,7,10,8,9]=>[6,12,11,5,4,2,3,10,8,7,1,9]
[6,5,2,4,9,3,7,8,1,12,10,11]=>[8,5,6,3,9,4,2,7,1,12,10,11]
[6,5,2,4,8,12,3,7,9,11,10,1]=>[10,5,6,3,11,4,1,8,7,12,9,2]
[4,12,5,11,2,6,10,3,7,9,8,1]=>[8,9,11,4,10,3,5,12,7,6,1,2]
[5,9,6,8,2,7,3,4,1,12,10,11]=>[4,8,7,3,5,9,2,6,1,12,10,11]
[5,8,6,7,2,4,12,3,9,11,10,1]=>[10,7,11,2,5,8,6,4,1,12,9,3]
[5,7,12,6,8,11,2,10,3,9,4,1]=>[4,9,11,10,5,12,7,6,1,3,8,2]
[12,11,5,10,6,9,2,8,3,7,4,1]=>[4,7,9,8,11,10,1,3,6,5,12,2]
[9,8,7,6,2,5,3,4,1,12,10,11]=>[4,6,5,3,2,7,8,9,1,12,10,11]
[8,7,6,5,2,4,12,3,9,11,10,1]=>[10,5,6,3,7,8,11,4,1,12,9,2]
[7,6,5,12,8,11,2,10,3,9,4,1]=>[4,9,11,10,6,7,5,12,1,3,8,2]
[6,12,7,11,10,9,2,8,3,5,4,1]=>[4,5,9,8,1,6,10,3,11,12,7,2]
[12,11,10,9,8,7,2,6,3,5,4,1]=>[4,5,7,6,1,3,8,9,10,11,12,2]
[5,4,3,2,1,7,9,12,6,8,10,11]=>[2,3,4,5,1,12,7,6,9,8,10,11]
[3,2,1,12,4,11,5,7,10,6,8,9]=>[2,3,1,12,11,10,5,6,8,7,4,9]
[3,2,1,9,4,8,5,7,12,6,10,11]=>[2,3,1,9,8,12,5,4,7,6,10,11]
[3,2,1,8,12,4,9,11,5,10,6,7]=>[2,3,1,12,11,10,6,8,4,5,9,7]
[1,12,2,11,3,10,4,9,5,8,6,7]=>[1,12,11,10,9,8,6,5,4,3,2,7]
[4,3,2,7,5,6,1,9,12,8,10,11]=>[6,3,4,2,7,5,1,12,9,8,10,11]
[3,2,12,4,6,1,11,5,7,10,8,9]=>[6,3,2,12,11,4,5,10,8,7,1,9]
[4,3,2,6,9,5,7,8,1,12,10,11]=>[8,3,4,2,9,6,5,7,1,12,10,11]
[4,3,2,6,8,12,5,7,9,11,10,1]=>[10,3,4,2,11,6,1,8,7,12,9,5]
[2,12,3,11,4,6,10,5,7,9,8,1]=>[8,2,9,12,11,5,1,10,7,6,4,3]
[2,9,3,8,4,7,5,6,1,12,10,11]=>[6,2,9,8,7,5,4,3,1,12,10,11]
[2,8,3,7,4,6,12,5,9,11,10,1]=>[10,2,8,7,11,4,3,6,1,12,9,5]
[2,7,12,3,8,11,4,10,5,9,6,1]=>[6,2,9,12,11,10,7,4,1,5,8,3]
[12,11,2,10,3,9,4,8,5,7,6,1]=>[6,7,11,10,9,8,1,5,4,3,12,2]
[3,7,4,6,5,2,1,9,12,8,10,11]=>[2,5,3,6,7,1,4,12,9,8,10,11]
[3,5,12,4,2,1,6,11,7,10,8,9]=>[2,4,3,12,5,1,11,10,8,7,6,9]
[3,6,4,5,2,9,7,8,1,12,10,11]=>[8,5,3,6,4,2,9,7,1,12,10,11]
[3,6,4,5,2,8,12,7,9,11,10,1]=>[10,5,3,6,4,2,11,8,1,12,9,7]
[12,3,5,2,11,4,6,10,7,9,8,1]=>[8,5,9,12,4,1,11,10,6,7,2,3]
[3,5,9,4,6,8,7,2,1,12,10,11]=>[2,7,3,8,5,1,9,6,4,12,10,11]
[3,5,8,4,6,7,2,12,9,11,10,1]=>[10,7,3,8,5,4,6,2,11,12,1,9]
[3,5,7,12,4,6,8,11,10,9,2,1]=>[2,9,3,10,5,4,7,6,11,12,8,1]
[12,11,3,5,10,4,6,9,8,7,2,1]=>[2,7,8,9,1,3,11,10,6,5,12,4]
[9,8,3,7,4,6,5,2,1,12,10,11]=>[2,5,6,8,7,1,4,9,3,12,10,11]
[8,7,3,6,4,5,2,12,9,11,10,1]=>[10,5,7,6,4,3,8,2,11,12,1,9]
[7,6,3,5,12,4,8,11,10,9,2,1]=>[2,9,6,7,4,10,5,3,11,12,8,1]
[6,12,7,11,3,10,4,9,8,5,2,1]=>[2,5,8,9,11,6,10,12,7,1,3,4]
[12,11,10,9,3,8,4,7,6,5,2,1]=>[2,5,6,7,9,8,3,1,10,11,12,4]
[7,6,5,4,3,2,1,9,12,8,10,11]=>[2,3,4,5,6,7,1,12,9,8,10,11]
[5,4,3,2,1,12,6,11,7,10,8,9]=>[2,3,4,5,1,12,11,10,8,7,6,9]
[6,5,4,3,2,9,7,8,1,12,10,11]=>[8,3,4,5,6,2,9,7,1,12,10,11]
[6,5,4,3,2,8,12,7,9,11,10,1]=>[10,3,4,5,6,2,11,8,1,12,9,7]
[4,3,2,12,5,11,6,10,7,9,8,1]=>[8,3,4,2,9,12,11,10,1,7,6,5]
[5,4,3,9,6,8,7,2,1,12,10,11]=>[2,7,4,5,3,8,9,1,6,12,10,11]
[5,4,3,8,6,7,2,12,9,11,10,1]=>[10,7,4,5,3,8,6,2,11,12,1,9]
[5,4,3,7,12,6,8,11,10,9,2,1]=>[2,9,4,5,3,10,7,6,11,12,8,1]
[3,12,4,11,5,10,6,9,8,7,2,1]=>[2,7,3,8,9,12,11,10,4,1,6,5]
[4,9,5,8,7,6,3,2,1,12,10,11]=>[2,3,6,4,7,8,9,5,1,12,10,11]
[4,8,5,7,6,3,2,12,9,11,10,1]=>[10,3,6,4,7,8,2,5,11,12,1,9]
[4,7,5,6,3,12,8,11,10,9,2,1]=>[2,9,6,4,7,5,3,10,11,12,8,1]
[4,6,12,5,7,11,10,9,8,3,2,1]=>[2,3,8,4,9,6,1,10,11,12,7,5]
[12,11,4,10,5,9,8,7,6,3,2,1]=>[2,3,6,7,8,9,11,10,5,4,12,1]
[9,8,7,6,5,4,3,2,1,12,10,11]=>[2,3,4,5,6,7,8,9,1,12,10,11]
[8,7,6,5,4,3,2,12,9,11,10,1]=>[10,3,4,5,6,7,8,2,11,12,1,9]
[7,6,5,4,3,12,8,11,10,9,2,1]=>[2,9,4,5,6,7,3,10,11,12,8,1]
[6,5,4,12,7,11,10,9,8,3,2,1]=>[2,3,8,5,6,4,9,10,11,12,1,7]
[5,12,6,11,10,9,8,7,4,3,2,1]=>[2,3,4,7,5,8,9,10,11,12,6,1]
[11,3,4,5,6,7,8,9,10,1,12,2]=>[10,12,11,3,4,5,6,7,8,9,1,2]
[2,12,4,5,6,7,8,9,10,11,1,3]=>[11,2,1,12,4,5,6,7,8,9,10,3]
[3,5,7,9,11,1,2,4,6,8,10,12]=>[11,1,3,2,5,4,7,6,9,8,10,12]
[3,5,7,9,1,2,4,6,8,10,11,12]=>[9,1,3,2,5,4,7,6,8,10,11,12]
[3,5,7,11,1,2,4,6,8,9,10,12]=>[11,1,3,2,5,4,7,6,8,9,10,12]
[3,5,7,10,1,2,4,6,8,9,11,12]=>[10,1,3,2,5,4,7,6,8,9,11,12]
[3,5,7,1,2,4,6,8,9,10,11,12]=>[7,1,3,2,5,4,6,8,9,10,11,12]
[3,5,9,11,1,2,4,6,7,8,10,12]=>[11,1,3,2,5,4,6,7,9,8,10,12]
[3,5,9,10,1,2,4,6,7,8,11,12]=>[10,1,3,2,5,4,6,7,9,8,11,12]
[3,5,8,11,1,2,4,6,7,9,10,12]=>[11,1,3,2,5,4,6,8,7,9,10,12]
[3,5,8,10,1,2,4,6,7,9,11,12]=>[10,1,3,2,5,4,6,8,7,9,11,12]
[3,5,8,1,2,4,6,7,9,10,11,12]=>[8,1,3,2,5,4,6,7,9,10,11,12]
[3,5,11,1,2,4,6,7,8,9,10,12]=>[11,1,3,2,5,4,6,7,8,9,10,12]
[3,5,10,1,2,4,6,7,8,9,11,12]=>[10,1,3,2,5,4,6,7,8,9,11,12]
[3,5,9,1,2,4,6,7,8,10,11,12]=>[9,1,3,2,5,4,6,7,8,10,11,12]
[3,5,1,2,4,6,7,8,9,10,11,12]=>[5,1,3,2,4,6,7,8,9,10,11,12]
[3,7,9,11,1,2,4,5,6,8,10,12]=>[11,1,3,2,4,5,7,6,9,8,10,12]
[3,7,9,10,1,2,4,5,6,8,11,12]=>[10,1,3,2,4,5,7,6,9,8,11,12]
[3,7,8,11,1,2,4,5,6,9,10,12]=>[11,1,3,2,4,5,7,8,6,9,10,12]
[3,7,8,10,1,2,4,5,6,9,11,12]=>[10,1,3,2,4,5,7,8,6,9,11,12]
[3,7,8,1,2,4,5,6,9,10,11,12]=>[8,1,3,2,4,5,7,6,9,10,11,12]
[3,6,9,11,1,2,4,5,7,8,10,12]=>[11,1,3,2,4,6,5,7,9,8,10,12]
[3,6,9,10,1,2,4,5,7,8,11,12]=>[10,1,3,2,4,6,5,7,9,8,11,12]
[3,6,8,11,1,2,4,5,7,9,10,12]=>[11,1,3,2,4,6,5,8,7,9,10,12]
[3,6,8,10,1,2,4,5,7,9,11,12]=>[10,1,3,2,4,6,5,8,7,9,11,12]
[3,6,8,1,2,4,5,7,9,10,11,12]=>[8,1,3,2,4,6,5,7,9,10,11,12]
[3,6,11,1,2,4,5,7,8,9,10,12]=>[11,1,3,2,4,6,5,7,8,9,10,12]
[3,6,10,1,2,4,5,7,8,9,11,12]=>[10,1,3,2,4,6,5,7,8,9,11,12]
[3,6,9,1,2,4,5,7,8,10,11,12]=>[9,1,3,2,4,6,5,7,8,10,11,12]
[3,6,1,2,4,5,7,8,9,10,11,12]=>[6,1,3,2,4,5,7,8,9,10,11,12]
[3,9,11,1,2,4,5,6,7,8,10,12]=>[11,1,3,2,4,5,6,7,9,8,10,12]
[3,9,10,1,2,4,5,6,7,8,11,12]=>[10,1,3,2,4,5,6,7,9,8,11,12]
[3,8,11,1,2,4,5,6,7,9,10,12]=>[11,1,3,2,4,5,6,8,7,9,10,12]
[3,8,10,1,2,4,5,6,7,9,11,12]=>[10,1,3,2,4,5,6,8,7,9,11,12]
[3,8,9,1,2,4,5,6,7,10,11,12]=>[9,1,3,2,4,5,6,8,7,10,11,12]
[3,7,11,1,2,4,5,6,8,9,10,12]=>[11,1,3,2,4,5,7,6,8,9,10,12]
[3,7,10,1,2,4,5,6,8,9,11,12]=>[10,1,3,2,4,5,7,6,8,9,11,12]
[3,7,9,1,2,4,5,6,8,10,11,12]=>[9,1,3,2,4,5,7,6,8,10,11,12]
[3,7,1,2,4,5,6,8,9,10,11,12]=>[7,1,3,2,4,5,6,8,9,10,11,12]
[3,11,1,2,4,5,6,7,8,9,10,12]=>[11,1,3,2,4,5,6,7,8,9,10,12]
[3,10,1,2,4,5,6,7,8,9,11,12]=>[10,1,3,2,4,5,6,7,8,9,11,12]
[3,9,1,2,4,5,6,7,8,10,11,12]=>[9,1,3,2,4,5,6,7,8,10,11,12]
[3,8,1,2,4,5,6,7,9,10,11,12]=>[8,1,3,2,4,5,6,7,9,10,11,12]
[3,1,2,4,5,6,7,8,9,10,11,12]=>[3,1,2,4,5,6,7,8,9,10,11,12]
[5,7,9,11,1,2,3,4,6,8,10,12]=>[11,1,2,3,5,4,7,6,9,8,10,12]
[5,7,9,10,1,2,3,4,6,8,11,12]=>[10,1,2,3,5,4,7,6,9,8,11,12]
[5,7,8,11,1,2,3,4,6,9,10,12]=>[11,1,2,3,5,4,7,8,6,9,10,12]
[5,7,8,10,1,2,3,4,6,9,11,12]=>[10,1,2,3,5,4,7,8,6,9,11,12]
[5,7,8,1,2,3,4,6,9,10,11,12]=>[8,1,2,3,5,4,7,6,9,10,11,12]
[5,6,9,11,1,2,3,4,7,8,10,12]=>[11,1,2,3,5,6,4,7,9,8,10,12]
[5,6,9,10,1,2,3,4,7,8,11,12]=>[10,1,2,3,5,6,4,7,9,8,11,12]
[5,6,8,11,1,2,3,4,7,9,10,12]=>[11,1,2,3,5,6,4,8,7,9,10,12]
[5,6,8,10,1,2,3,4,7,9,11,12]=>[10,1,2,3,5,6,4,8,7,9,11,12]
[5,6,8,1,2,3,4,7,9,10,11,12]=>[8,1,2,3,5,6,4,7,9,10,11,12]
[5,6,11,1,2,3,4,7,8,9,10,12]=>[11,1,2,3,5,6,4,7,8,9,10,12]
[5,6,10,1,2,3,4,7,8,9,11,12]=>[10,1,2,3,5,6,4,7,8,9,11,12]
[5,6,9,1,2,3,4,7,8,10,11,12]=>[9,1,2,3,5,6,4,7,8,10,11,12]
[5,6,1,2,3,4,7,8,9,10,11,12]=>[6,1,2,3,5,4,7,8,9,10,11,12]
[4,7,9,11,1,2,3,5,6,8,10,12]=>[11,1,2,4,3,5,7,6,9,8,10,12]
[4,7,9,10,1,2,3,5,6,8,11,12]=>[10,1,2,4,3,5,7,6,9,8,11,12]
[4,7,8,11,1,2,3,5,6,9,10,12]=>[11,1,2,4,3,5,7,8,6,9,10,12]
[4,7,8,10,1,2,3,5,6,9,11,12]=>[10,1,2,4,3,5,7,8,6,9,11,12]
[4,7,8,1,2,3,5,6,9,10,11,12]=>[8,1,2,4,3,5,7,6,9,10,11,12]
[4,6,9,11,1,2,3,5,7,8,10,12]=>[11,1,2,4,3,6,5,7,9,8,10,12]
[4,6,9,10,1,2,3,5,7,8,11,12]=>[10,1,2,4,3,6,5,7,9,8,11,12]
[4,6,8,11,1,2,3,5,7,9,10,12]=>[11,1,2,4,3,6,5,8,7,9,10,12]
[4,6,8,10,1,2,3,5,7,9,11,12]=>[10,1,2,4,3,6,5,8,7,9,11,12]
[4,6,8,1,2,3,5,7,9,10,11,12]=>[8,1,2,4,3,6,5,7,9,10,11,12]
[4,6,11,1,2,3,5,7,8,9,10,12]=>[11,1,2,4,3,6,5,7,8,9,10,12]
[4,6,10,1,2,3,5,7,8,9,11,12]=>[10,1,2,4,3,6,5,7,8,9,11,12]
[4,6,9,1,2,3,5,7,8,10,11,12]=>[9,1,2,4,3,6,5,7,8,10,11,12]
[4,6,1,2,3,5,7,8,9,10,11,12]=>[6,1,2,4,3,5,7,8,9,10,11,12]
[4,9,11,1,2,3,5,6,7,8,10,12]=>[11,1,2,4,3,5,6,7,9,8,10,12]
[4,9,10,1,2,3,5,6,7,8,11,12]=>[10,1,2,4,3,5,6,7,9,8,11,12]
[4,8,11,1,2,3,5,6,7,9,10,12]=>[11,1,2,4,3,5,6,8,7,9,10,12]
[4,8,10,1,2,3,5,6,7,9,11,12]=>[10,1,2,4,3,5,6,8,7,9,11,12]
[4,8,9,1,2,3,5,6,7,10,11,12]=>[9,1,2,4,3,5,6,8,7,10,11,12]
[4,7,11,1,2,3,5,6,8,9,10,12]=>[11,1,2,4,3,5,7,6,8,9,10,12]
[4,7,10,1,2,3,5,6,8,9,11,12]=>[10,1,2,4,3,5,7,6,8,9,11,12]
[4,7,9,1,2,3,5,6,8,10,11,12]=>[9,1,2,4,3,5,7,6,8,10,11,12]
[4,7,1,2,3,5,6,8,9,10,11,12]=>[7,1,2,4,3,5,6,8,9,10,11,12]
[4,11,1,2,3,5,6,7,8,9,10,12]=>[11,1,2,4,3,5,6,7,8,9,10,12]
[4,10,1,2,3,5,6,7,8,9,11,12]=>[10,1,2,4,3,5,6,7,8,9,11,12]
[4,9,1,2,3,5,6,7,8,10,11,12]=>[9,1,2,4,3,5,6,7,8,10,11,12]
[4,8,1,2,3,5,6,7,9,10,11,12]=>[8,1,2,4,3,5,6,7,9,10,11,12]
[4,1,2,3,5,6,7,8,9,10,11,12]=>[4,1,2,3,5,6,7,8,9,10,11,12]
[7,9,11,1,2,3,4,5,6,8,10,12]=>[11,1,2,3,4,5,7,6,9,8,10,12]
[7,9,10,1,2,3,4,5,6,8,11,12]=>[10,1,2,3,4,5,7,6,9,8,11,12]
[7,8,11,1,2,3,4,5,6,9,10,12]=>[11,1,2,3,4,5,7,8,6,9,10,12]
[7,8,10,1,2,3,4,5,6,9,11,12]=>[10,1,2,3,4,5,7,8,6,9,11,12]
[7,8,9,1,2,3,4,5,6,10,11,12]=>[9,1,2,3,4,5,7,8,6,10,11,12]
[6,9,11,1,2,3,4,5,7,8,10,12]=>[11,1,2,3,4,6,5,7,9,8,10,12]
[6,9,10,1,2,3,4,5,7,8,11,12]=>[10,1,2,3,4,6,5,7,9,8,11,12]
[6,8,11,1,2,3,4,5,7,9,10,12]=>[11,1,2,3,4,6,5,8,7,9,10,12]
[6,8,10,1,2,3,4,5,7,9,11,12]=>[10,1,2,3,4,6,5,8,7,9,11,12]
[6,8,9,1,2,3,4,5,7,10,11,12]=>[9,1,2,3,4,6,5,8,7,10,11,12]
[6,7,11,1,2,3,4,5,8,9,10,12]=>[11,1,2,3,4,6,7,5,8,9,10,12]
[6,7,10,1,2,3,4,5,8,9,11,12]=>[10,1,2,3,4,6,7,5,8,9,11,12]
[6,7,9,1,2,3,4,5,8,10,11,12]=>[9,1,2,3,4,6,7,5,8,10,11,12]
[6,7,1,2,3,4,5,8,9,10,11,12]=>[7,1,2,3,4,6,5,8,9,10,11,12]
[5,9,11,1,2,3,4,6,7,8,10,12]=>[11,1,2,3,5,4,6,7,9,8,10,12]
[5,9,10,1,2,3,4,6,7,8,11,12]=>[10,1,2,3,5,4,6,7,9,8,11,12]
[5,8,11,1,2,3,4,6,7,9,10,12]=>[11,1,2,3,5,4,6,8,7,9,10,12]
[5,8,10,1,2,3,4,6,7,9,11,12]=>[10,1,2,3,5,4,6,8,7,9,11,12]
[5,8,9,1,2,3,4,6,7,10,11,12]=>[9,1,2,3,5,4,6,8,7,10,11,12]
[5,7,11,1,2,3,4,6,8,9,10,12]=>[11,1,2,3,5,4,7,6,8,9,10,12]
[5,7,10,1,2,3,4,6,8,9,11,12]=>[10,1,2,3,5,4,7,6,8,9,11,12]
[5,7,9,1,2,3,4,6,8,10,11,12]=>[9,1,2,3,5,4,7,6,8,10,11,12]
[5,7,1,2,3,4,6,8,9,10,11,12]=>[7,1,2,3,5,4,6,8,9,10,11,12]
[5,11,1,2,3,4,6,7,8,9,10,12]=>[11,1,2,3,5,4,6,7,8,9,10,12]
[5,10,1,2,3,4,6,7,8,9,11,12]=>[10,1,2,3,5,4,6,7,8,9,11,12]
[5,9,1,2,3,4,6,7,8,10,11,12]=>[9,1,2,3,5,4,6,7,8,10,11,12]
[5,8,1,2,3,4,6,7,9,10,11,12]=>[8,1,2,3,5,4,6,7,9,10,11,12]
[5,1,2,3,4,6,7,8,9,10,11,12]=>[5,1,2,3,4,6,7,8,9,10,11,12]
[9,11,1,2,3,4,5,6,7,8,10,12]=>[11,1,2,3,4,5,6,7,9,8,10,12]
[9,10,1,2,3,4,5,6,7,8,11,12]=>[10,1,2,3,4,5,6,7,9,8,11,12]
[8,11,1,2,3,4,5,6,7,9,10,12]=>[11,1,2,3,4,5,6,8,7,9,10,12]
[8,10,1,2,3,4,5,6,7,9,11,12]=>[10,1,2,3,4,5,6,8,7,9,11,12]
[8,9,1,2,3,4,5,6,7,10,11,12]=>[9,1,2,3,4,5,6,8,7,10,11,12]
[7,11,1,2,3,4,5,6,8,9,10,12]=>[11,1,2,3,4,5,7,6,8,9,10,12]
[7,10,1,2,3,4,5,6,8,9,11,12]=>[10,1,2,3,4,5,7,6,8,9,11,12]
[7,9,1,2,3,4,5,6,8,10,11,12]=>[9,1,2,3,4,5,7,6,8,10,11,12]
[7,8,1,2,3,4,5,6,9,10,11,12]=>[8,1,2,3,4,5,7,6,9,10,11,12]
[6,11,1,2,3,4,5,7,8,9,10,12]=>[11,1,2,3,4,6,5,7,8,9,10,12]
[6,10,1,2,3,4,5,7,8,9,11,12]=>[10,1,2,3,4,6,5,7,8,9,11,12]
[6,9,1,2,3,4,5,7,8,10,11,12]=>[9,1,2,3,4,6,5,7,8,10,11,12]
[6,8,1,2,3,4,5,7,9,10,11,12]=>[8,1,2,3,4,6,5,7,9,10,11,12]
[6,1,2,3,4,5,7,8,9,10,11,12]=>[6,1,2,3,4,5,7,8,9,10,11,12]
[10,1,2,3,4,5,6,7,8,9,11,12]=>[10,1,2,3,4,5,6,7,8,9,11,12]
[9,1,2,3,4,5,6,7,8,10,11,12]=>[9,1,2,3,4,5,6,7,8,10,11,12]
[8,1,2,3,4,5,6,7,9,10,11,12]=>[8,1,2,3,4,5,6,7,9,10,11,12]
[7,1,2,3,4,5,6,8,9,10,11,12]=>[7,1,2,3,4,5,6,8,9,10,11,12]
[2,1,4,3,6,5,8,7,11,12,9,10]=>[2,1,4,3,6,5,8,7,12,9,11,10]
[2,1,4,3,6,5,9,10,7,8,12,11]=>[2,1,4,3,6,5,10,7,9,8,12,11]
[2,1,4,3,6,5,9,11,7,12,8,10]=>[2,1,4,3,6,5,11,12,9,8,7,10]
[2,1,4,3,6,5,10,11,12,7,8,9]=>[2,1,4,3,6,5,12,7,8,10,11,9]
[2,1,4,3,7,8,5,6,10,9,12,11]=>[2,1,4,3,8,5,7,6,10,9,12,11]
[2,1,4,3,7,8,5,6,11,12,9,10]=>[2,1,4,3,8,5,7,6,12,9,11,10]
[2,1,4,3,7,9,5,10,6,8,12,11]=>[2,1,4,3,9,10,7,6,5,8,12,11]
[2,1,4,3,7,9,5,11,6,12,8,10]=>[2,1,4,3,9,11,7,12,5,8,6,10]
[2,1,4,3,7,10,5,11,12,6,8,9]=>[2,1,4,3,10,12,7,6,8,5,11,9]
[2,1,4,3,8,9,10,5,6,7,12,11]=>[2,1,4,3,10,5,6,8,9,7,12,11]
[2,1,4,3,8,9,11,5,6,12,7,10]=>[2,1,4,3,11,5,12,8,9,7,6,10]
[2,1,4,3,8,10,11,5,12,6,7,9]=>[2,1,4,3,11,12,6,8,7,10,5,9]
[2,1,4,3,9,10,11,12,5,6,7,8]=>[2,1,4,3,12,5,6,7,9,10,11,8]
[2,1,5,6,3,4,8,7,10,9,12,11]=>[2,1,6,3,5,4,8,7,10,9,12,11]
[2,1,5,6,3,4,8,7,11,12,9,10]=>[2,1,6,3,5,4,8,7,12,9,11,10]
[2,1,5,6,3,4,9,10,7,8,12,11]=>[2,1,6,3,5,4,10,7,9,8,12,11]
[2,1,5,6,3,4,9,11,7,12,8,10]=>[2,1,6,3,5,4,11,12,9,8,7,10]
[2,1,5,6,3,4,10,11,12,7,8,9]=>[2,1,6,3,5,4,12,7,8,10,11,9]
[2,1,5,7,3,8,4,6,10,9,12,11]=>[2,1,7,8,5,4,3,6,10,9,12,11]
[2,1,5,7,3,8,4,6,11,12,9,10]=>[2,1,7,8,5,4,3,6,12,9,11,10]
[2,1,5,7,3,9,4,10,6,8,12,11]=>[2,1,7,9,5,10,3,6,4,8,12,11]
[2,1,5,7,3,9,4,11,6,12,8,10]=>[2,1,7,9,5,11,3,12,4,8,6,10]
[2,1,5,7,3,10,4,11,12,6,8,9]=>[2,1,7,10,5,12,3,6,8,4,11,9]
[2,1,5,8,3,9,10,4,6,7,12,11]=>[2,1,8,10,5,4,6,3,9,7,12,11]
[2,1,5,8,3,9,11,4,6,12,7,10]=>[2,1,8,11,5,4,12,3,9,7,6,10]
[2,1,5,8,3,10,11,4,12,6,7,9]=>[2,1,8,11,5,12,6,3,7,10,4,9]
[2,1,5,9,3,10,11,12,4,6,7,8]=>[2,1,9,12,5,4,6,7,3,10,11,8]
[2,1,6,7,8,3,4,5,10,9,12,11]=>[2,1,8,3,4,6,7,5,10,9,12,11]
[2,1,6,7,8,3,4,5,11,12,9,10]=>[2,1,8,3,4,6,7,5,12,9,11,10]
[2,1,6,7,9,3,4,10,5,8,12,11]=>[2,1,9,3,10,6,7,5,4,8,12,11]
[2,1,6,7,9,3,4,11,5,12,8,10]=>[2,1,9,3,11,6,7,12,4,8,5,10]
[2,1,6,7,10,3,4,11,12,5,8,9]=>[2,1,10,3,12,6,7,5,8,4,11,9]
[2,1,6,8,9,3,10,4,5,7,12,11]=>[2,1,9,10,4,6,5,8,3,7,12,11]
[2,1,6,8,9,3,11,4,5,12,7,10]=>[2,1,9,11,4,6,12,8,3,7,5,10]
[2,1,6,8,10,3,11,4,12,5,7,9]=>[2,1,10,11,12,6,5,8,7,3,4,9]
[2,1,6,9,10,3,11,12,4,5,7,8]=>[2,1,10,12,4,6,5,7,9,3,11,8]
[2,1,7,8,9,10,3,4,5,6,12,11]=>[2,1,10,3,4,5,7,8,9,6,12,11]
[2,1,7,8,9,11,3,4,5,12,6,10]=>[2,1,11,3,4,12,7,8,9,6,5,10]
[2,1,7,8,10,11,3,4,12,5,6,9]=>[2,1,11,3,12,5,7,8,6,10,4,9]
[2,1,7,9,10,11,3,12,4,5,6,8]=>[2,1,11,12,4,5,7,6,9,10,3,8]
[2,1,8,9,10,11,12,3,4,5,6,7]=>[2,1,12,3,4,5,6,8,9,10,11,7]
[3,4,1,2,6,5,8,7,10,9,12,11]=>[4,1,3,2,6,5,8,7,10,9,12,11]
[3,4,1,2,6,5,8,7,11,12,9,10]=>[4,1,3,2,6,5,8,7,12,9,11,10]
[3,4,1,2,6,5,9,10,7,8,12,11]=>[4,1,3,2,6,5,10,7,9,8,12,11]
[3,4,1,2,6,5,9,11,7,12,8,10]=>[4,1,3,2,6,5,11,12,9,8,7,10]
[3,4,1,2,6,5,10,11,12,7,8,9]=>[4,1,3,2,6,5,12,7,8,10,11,9]
[3,4,1,2,7,8,5,6,10,9,12,11]=>[4,1,3,2,8,5,7,6,10,9,12,11]
[3,4,1,2,7,8,5,6,11,12,9,10]=>[4,1,3,2,8,5,7,6,12,9,11,10]
[3,4,1,2,7,9,5,10,6,8,12,11]=>[4,1,3,2,9,10,7,6,5,8,12,11]
[3,4,1,2,7,9,5,11,6,12,8,10]=>[4,1,3,2,9,11,7,12,5,8,6,10]
[3,4,1,2,7,10,5,11,12,6,8,9]=>[4,1,3,2,10,12,7,6,8,5,11,9]
[3,4,1,2,8,9,10,5,6,7,12,11]=>[4,1,3,2,10,5,6,8,9,7,12,11]
[3,4,1,2,8,9,11,5,6,12,7,10]=>[4,1,3,2,11,5,12,8,9,7,6,10]
[3,4,1,2,8,10,11,5,12,6,7,9]=>[4,1,3,2,11,12,6,8,7,10,5,9]
[3,4,1,2,9,10,11,12,5,6,7,8]=>[4,1,3,2,12,5,6,7,9,10,11,8]
[3,5,1,6,2,4,8,7,10,9,12,11]=>[5,6,3,2,1,4,8,7,10,9,12,11]
[3,5,1,6,2,4,8,7,11,12,9,10]=>[5,6,3,2,1,4,8,7,12,9,11,10]
[3,5,1,6,2,4,9,10,7,8,12,11]=>[5,6,3,2,1,4,10,7,9,8,12,11]
[3,5,1,6,2,4,9,11,7,12,8,10]=>[5,6,3,2,1,4,11,12,9,8,7,10]
[3,5,1,6,2,4,10,11,12,7,8,9]=>[5,6,3,2,1,4,12,7,8,10,11,9]
[3,5,1,7,2,8,4,6,10,9,12,11]=>[5,7,3,8,1,4,2,6,10,9,12,11]
[3,5,1,7,2,8,4,6,11,12,9,10]=>[5,7,3,8,1,4,2,6,12,9,11,10]
[3,5,1,7,2,9,4,10,6,8,12,11]=>[5,7,3,9,1,10,2,6,4,8,12,11]
[3,5,1,7,2,9,4,11,6,12,8,10]=>[5,7,3,9,1,11,2,12,4,8,6,10]
[3,5,1,7,2,10,4,11,12,6,8,9]=>[5,7,3,10,1,12,2,6,8,4,11,9]
[3,5,1,8,2,9,10,4,6,7,12,11]=>[5,8,3,10,1,4,6,2,9,7,12,11]
[3,5,1,8,2,9,11,4,6,12,7,10]=>[5,8,3,11,1,4,12,2,9,7,6,10]
[3,5,1,8,2,10,11,4,12,6,7,9]=>[5,8,3,11,1,12,6,2,7,10,4,9]
[3,5,1,9,2,10,11,12,4,6,7,8]=>[5,9,3,12,1,4,6,7,2,10,11,8]
[3,6,1,7,8,2,4,5,10,9,12,11]=>[6,8,3,2,4,1,7,5,10,9,12,11]
[3,6,1,7,8,2,4,5,11,12,9,10]=>[6,8,3,2,4,1,7,5,12,9,11,10]
[3,6,1,7,9,2,4,10,5,8,12,11]=>[6,9,3,2,10,1,7,5,4,8,12,11]
[3,6,1,7,9,2,4,11,5,12,8,10]=>[6,9,3,2,11,1,7,12,4,8,5,10]
[3,6,1,7,10,2,4,11,12,5,8,9]=>[6,10,3,2,12,1,7,5,8,4,11,9]
[3,6,1,8,9,2,10,4,5,7,12,11]=>[6,9,3,10,4,1,5,8,2,7,12,11]
[3,6,1,8,9,2,11,4,5,12,7,10]=>[6,9,3,11,4,1,12,8,2,7,5,10]
[3,6,1,8,10,2,11,4,12,5,7,9]=>[6,10,3,11,12,1,5,8,7,2,4,9]
[3,6,1,9,10,2,11,12,4,5,7,8]=>[6,10,3,12,4,1,5,7,9,2,11,8]
[3,7,1,8,9,10,2,4,5,6,12,11]=>[7,10,3,2,4,5,1,8,9,6,12,11]
[3,7,1,8,9,11,2,4,5,12,6,10]=>[7,11,3,2,4,12,1,8,9,6,5,10]
[3,7,1,8,10,11,2,4,12,5,6,9]=>[7,11,3,2,12,5,1,8,6,10,4,9]
[3,7,1,9,10,11,2,12,4,5,6,8]=>[7,11,3,12,4,5,1,6,9,10,2,8]
[3,8,1,9,10,11,12,2,4,5,6,7]=>[8,12,3,2,4,5,6,1,9,10,11,7]
[4,5,6,1,2,3,8,7,10,9,12,11]=>[6,1,2,4,5,3,8,7,10,9,12,11]
[4,5,6,1,2,3,8,7,11,12,9,10]=>[6,1,2,4,5,3,8,7,12,9,11,10]
[4,5,6,1,2,3,9,10,7,8,12,11]=>[6,1,2,4,5,3,10,7,9,8,12,11]
[4,5,6,1,2,3,9,11,7,12,8,10]=>[6,1,2,4,5,3,11,12,9,8,7,10]
[4,5,6,1,2,3,10,11,12,7,8,9]=>[6,1,2,4,5,3,12,7,8,10,11,9]
[4,5,7,1,2,8,3,6,10,9,12,11]=>[7,1,8,4,5,3,2,6,10,9,12,11]
[4,5,7,1,2,8,3,6,11,12,9,10]=>[7,1,8,4,5,3,2,6,12,9,11,10]
[4,5,7,1,2,9,3,10,6,8,12,11]=>[7,1,9,4,5,10,2,6,3,8,12,11]
[4,5,7,1,2,9,3,11,6,12,8,10]=>[7,1,9,4,5,11,2,12,3,8,6,10]
[4,5,7,1,2,10,3,11,12,6,8,9]=>[7,1,10,4,5,12,2,6,8,3,11,9]
[4,5,8,1,2,9,10,3,6,7,12,11]=>[8,1,10,4,5,3,6,2,9,7,12,11]
[4,5,8,1,2,9,11,3,6,12,7,10]=>[8,1,11,4,5,3,12,2,9,7,6,10]
[4,5,8,1,2,10,11,3,12,6,7,9]=>[8,1,11,4,5,12,6,2,7,10,3,9]
[4,5,9,1,2,10,11,12,3,6,7,8]=>[9,1,12,4,5,3,6,7,2,10,11,8]
[4,6,7,1,8,2,3,5,10,9,12,11]=>[7,8,2,4,3,6,1,5,10,9,12,11]
[4,6,7,1,8,2,3,5,11,12,9,10]=>[7,8,2,4,3,6,1,5,12,9,11,10]
[4,6,7,1,9,2,3,10,5,8,12,11]=>[7,9,2,4,10,6,1,5,3,8,12,11]
[4,6,7,1,9,2,3,11,5,12,8,10]=>[7,9,2,4,11,6,1,12,3,8,5,10]
[4,6,7,1,10,2,3,11,12,5,8,9]=>[7,10,2,4,12,6,1,5,8,3,11,9]
[4,6,8,1,9,2,10,3,5,7,12,11]=>[8,9,10,4,3,6,5,1,2,7,12,11]
[4,6,8,1,9,2,11,3,5,12,7,10]=>[8,9,11,4,3,6,12,1,2,7,5,10]
[4,6,8,1,10,2,11,3,12,5,7,9]=>[8,10,11,4,12,6,5,1,7,2,3,9]
[4,6,9,1,10,2,11,12,3,5,7,8]=>[9,10,12,4,3,6,5,7,1,2,11,8]
[4,7,8,1,9,10,2,3,5,6,12,11]=>[8,10,2,4,3,5,7,1,9,6,12,11]
[4,7,8,1,9,11,2,3,5,12,6,10]=>[8,11,2,4,3,12,7,1,9,6,5,10]
[4,7,8,1,10,11,2,3,12,5,6,9]=>[8,11,2,4,12,5,7,1,6,10,3,9]
[4,7,9,1,10,11,2,12,3,5,6,8]=>[9,11,12,4,3,5,7,6,1,10,2,8]
[4,8,9,1,10,11,12,2,3,5,6,7]=>[9,12,2,4,3,5,6,8,1,10,11,7]
[5,6,7,8,1,2,3,4,10,9,12,11]=>[8,1,2,3,5,6,7,4,10,9,12,11]
[5,6,7,8,1,2,3,4,11,12,9,10]=>[8,1,2,3,5,6,7,4,12,9,11,10]
[5,6,7,9,1,2,3,10,4,8,12,11]=>[9,1,2,10,5,6,7,4,3,8,12,11]
[5,6,7,9,1,2,3,11,4,12,8,10]=>[9,1,2,11,5,6,7,12,3,8,4,10]
[5,6,7,10,1,2,3,11,12,4,8,9]=>[10,1,2,12,5,6,7,4,8,3,11,9]
[5,6,8,9,1,2,10,3,4,7,12,11]=>[9,1,10,3,5,6,4,8,2,7,12,11]
[5,6,8,9,1,2,11,3,4,12,7,10]=>[9,1,11,3,5,6,12,8,2,7,4,10]
[5,6,8,10,1,2,11,3,12,4,7,9]=>[10,1,11,12,5,6,4,8,7,2,3,9]
[5,6,9,10,1,2,11,12,3,4,7,8]=>[10,1,12,3,5,6,4,7,9,2,11,8]
[5,7,8,9,1,10,2,3,4,6,12,11]=>[9,10,2,3,5,4,7,8,1,6,12,11]
[5,7,8,9,1,11,2,3,4,12,6,10]=>[9,11,2,3,5,12,7,8,1,6,4,10]
[5,7,8,10,1,11,2,3,12,4,6,9]=>[10,11,2,12,5,4,7,8,6,1,3,9]
[5,7,9,10,1,11,2,12,3,4,6,8]=>[10,11,12,3,5,4,7,6,9,1,2,8]
[5,8,9,10,1,11,12,2,3,4,6,7]=>[10,12,2,3,5,4,6,8,9,1,11,7]
[6,7,8,9,10,1,2,3,4,5,12,11]=>[10,1,2,3,4,6,7,8,9,5,12,11]
[6,7,8,9,11,1,2,3,4,12,5,10]=>[11,1,2,3,12,6,7,8,9,5,4,10]
[6,7,8,10,11,1,2,3,12,4,5,9]=>[11,1,2,12,4,6,7,8,5,10,3,9]
[6,7,9,10,11,1,2,12,3,4,5,8]=>[11,1,12,3,4,6,7,5,9,10,2,8]
[6,8,9,10,11,1,12,2,3,4,5,7]=>[11,12,2,3,4,6,5,8,9,10,1,7]
[7,8,9,10,12,11,1,2,3,4,6,5]=>[11,1,2,3,6,4,7,8,9,10,12,5]
[7,8,9,11,10,12,1,2,3,5,4,6]=>[12,1,2,5,3,4,7,8,9,11,10,6]
[7,8,9,11,12,10,1,2,3,6,4,5]=>[10,1,2,6,4,3,7,8,9,12,11,5]
[7,8,10,9,11,12,1,2,4,3,5,6]=>[12,1,4,2,3,5,7,8,10,9,11,6]
[7,8,10,9,12,11,1,2,4,3,6,5]=>[11,1,4,2,6,3,7,8,10,9,12,5]
[7,8,10,11,9,12,1,2,5,3,4,6]=>[12,1,5,3,2,4,7,8,11,10,9,6]
[7,8,10,11,12,9,1,2,6,3,4,5]=>[9,1,6,3,4,2,7,8,12,10,11,5]
[7,8,10,12,11,9,1,2,6,3,5,4]=>[9,1,6,5,3,2,7,8,11,10,12,4]
[7,8,11,10,9,12,1,2,5,4,3,6]=>[12,1,4,5,2,3,7,8,10,11,9,6]
[7,8,11,10,12,9,1,2,6,4,3,5]=>[9,1,4,6,3,2,7,8,12,11,10,5]
[7,8,11,12,10,9,1,2,6,5,3,4]=>[9,1,5,3,6,2,7,8,10,12,11,4]
[7,8,12,11,10,9,1,2,6,5,4,3]=>[9,1,4,5,6,2,7,8,10,11,12,3]
[7,9,8,10,11,12,1,3,2,4,5,6]=>[12,3,1,2,4,5,7,9,8,10,11,6]
[7,9,8,10,12,11,1,3,2,4,6,5]=>[11,3,1,2,6,4,7,9,8,10,12,5]
[7,9,8,11,10,12,1,3,2,5,4,6]=>[12,3,1,5,2,4,7,9,8,11,10,6]
[7,9,8,11,12,10,1,3,2,6,4,5]=>[10,3,1,6,4,2,7,9,8,12,11,5]
[7,9,8,12,11,10,1,3,2,6,5,4]=>[10,3,1,5,6,2,7,9,8,11,12,4]
[7,9,10,8,11,12,1,4,2,3,5,6]=>[12,4,2,1,3,5,7,10,9,8,11,6]
[7,9,10,8,12,11,1,4,2,3,6,5]=>[11,4,2,1,6,3,7,10,9,8,12,5]
[7,9,10,11,8,12,1,5,2,3,4,6]=>[12,5,2,3,1,4,7,11,9,10,8,6]
[7,9,10,11,12,8,1,6,2,3,4,5]=>[8,6,2,3,4,1,7,12,9,10,11,5]
[7,9,10,12,11,8,1,6,2,3,5,4]=>[8,6,2,5,3,1,7,11,9,10,12,4]
[7,9,11,10,8,12,1,5,2,4,3,6]=>[12,5,4,2,1,3,7,10,9,11,8,6]
[7,9,11,10,12,8,1,6,2,4,3,5]=>[8,6,4,2,3,1,7,12,9,11,10,5]
[7,9,11,12,10,8,1,6,2,5,3,4]=>[8,6,5,3,2,1,7,10,9,12,11,4]
[7,9,12,11,10,8,1,6,2,5,4,3]=>[8,6,4,5,2,1,7,10,9,11,12,3]
[7,10,9,8,11,12,1,4,3,2,5,6]=>[12,3,4,1,2,5,7,9,10,8,11,6]
[7,10,9,8,12,11,1,4,3,2,6,5]=>[11,3,4,1,6,2,7,9,10,8,12,5]
[7,10,9,11,8,12,1,5,3,2,4,6]=>[12,3,5,2,1,4,7,11,10,9,8,6]
[7,10,9,11,12,8,1,6,3,2,4,5]=>[8,3,6,2,4,1,7,12,10,9,11,5]
[7,10,9,12,11,8,1,6,3,2,5,4]=>[8,3,6,5,2,1,7,11,10,9,12,4]
[7,10,11,9,8,12,1,5,4,2,3,6]=>[12,4,2,5,1,3,7,9,11,10,8,6]
[7,10,11,9,12,8,1,6,4,2,3,5]=>[8,4,2,6,3,1,7,12,11,10,9,5]
[7,10,11,12,9,8,1,6,5,2,3,4]=>[8,5,2,3,6,1,7,9,12,10,11,4]
[7,10,12,11,9,8,1,6,5,2,4,3]=>[8,5,4,2,6,1,7,9,11,10,12,3]
[7,11,10,9,8,12,1,5,4,3,2,6]=>[12,3,4,5,1,2,7,9,10,11,8,6]
[7,11,10,9,12,8,1,6,4,3,2,5]=>[8,3,4,6,2,1,7,12,10,11,9,5]
[7,11,10,12,9,8,1,6,5,3,2,4]=>[8,3,5,2,6,1,7,9,12,11,10,4]
[7,11,12,10,9,8,1,6,5,4,2,3]=>[8,4,2,5,6,1,7,9,10,12,11,3]
[7,12,11,10,9,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,7,9,10,11,12,2]
[8,7,9,10,11,12,2,1,3,4,5,6]=>[2,12,1,3,4,5,8,7,9,10,11,6]
[8,7,9,10,12,11,2,1,3,4,6,5]=>[2,11,1,3,6,4,8,7,9,10,12,5]
[8,7,9,11,10,12,2,1,3,5,4,6]=>[2,12,1,5,3,4,8,7,9,11,10,6]
[8,7,9,11,12,10,2,1,3,6,4,5]=>[2,10,1,6,4,3,8,7,9,12,11,5]
[8,7,9,12,11,10,2,1,3,6,5,4]=>[2,10,1,5,6,3,8,7,9,11,12,4]
[8,7,10,9,11,12,2,1,4,3,5,6]=>[2,12,4,1,3,5,8,7,10,9,11,6]
[8,7,10,9,12,11,2,1,4,3,6,5]=>[2,11,4,1,6,3,8,7,10,9,12,5]
[8,7,10,11,9,12,2,1,5,3,4,6]=>[2,12,5,3,1,4,8,7,11,10,9,6]
[8,7,10,11,12,9,2,1,6,3,4,5]=>[2,9,6,3,4,1,8,7,12,10,11,5]
[8,7,10,12,11,9,2,1,6,3,5,4]=>[2,9,6,5,3,1,8,7,11,10,12,4]
[8,7,11,10,9,12,2,1,5,4,3,6]=>[2,12,4,5,1,3,8,7,10,11,9,6]
[8,7,11,10,12,9,2,1,6,4,3,5]=>[2,9,4,6,3,1,8,7,12,11,10,5]
[8,7,11,12,10,9,2,1,6,5,3,4]=>[2,9,5,3,6,1,8,7,10,12,11,4]
[8,7,12,11,10,9,2,1,6,5,4,3]=>[2,9,4,5,6,1,8,7,10,11,12,3]
[8,9,7,10,11,12,3,1,2,4,5,6]=>[3,1,12,2,4,5,9,8,7,10,11,6]
[8,9,7,10,12,11,3,1,2,4,6,5]=>[3,1,11,2,6,4,9,8,7,10,12,5]
[8,9,7,11,10,12,3,1,2,5,4,6]=>[3,1,12,5,2,4,9,8,7,11,10,6]
[8,9,7,11,12,10,3,1,2,6,4,5]=>[3,1,10,6,4,2,9,8,7,12,11,5]
[8,9,7,12,11,10,3,1,2,6,5,4]=>[3,1,10,5,6,2,9,8,7,11,12,4]
[8,9,10,7,11,12,4,1,2,3,5,6]=>[4,1,2,12,3,5,10,8,9,7,11,6]
[8,9,10,7,12,11,4,1,2,3,6,5]=>[4,1,2,11,6,3,10,8,9,7,12,5]
[8,9,10,11,7,12,5,1,2,3,4,6]=>[5,1,2,3,12,4,11,8,9,10,7,6]
[8,9,10,11,12,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,12,8,9,10,11,5]
[8,9,10,12,11,7,6,1,2,3,5,4]=>[6,1,2,5,3,7,11,8,9,10,12,4]
[8,9,11,10,7,12,5,1,2,4,3,6]=>[5,1,4,2,12,3,10,8,9,11,7,6]
[8,9,11,10,12,7,6,1,2,4,3,5]=>[6,1,4,2,3,7,12,8,9,11,10,5]
[8,9,11,12,10,7,6,1,2,5,3,4]=>[6,1,5,3,2,7,10,8,9,12,11,4]
[8,9,12,11,10,7,6,1,2,5,4,3]=>[6,1,4,5,2,7,10,8,9,11,12,3]
[8,10,9,7,11,12,4,1,3,2,5,6]=>[4,3,1,12,2,5,9,8,10,7,11,6]
[8,10,9,7,12,11,4,1,3,2,6,5]=>[4,3,1,11,6,2,9,8,10,7,12,5]
[8,10,9,11,7,12,5,1,3,2,4,6]=>[5,3,1,2,12,4,11,8,10,9,7,6]
[8,10,9,11,12,7,6,1,3,2,4,5]=>[6,3,1,2,4,7,12,8,10,9,11,5]
[8,10,9,12,11,7,6,1,3,2,5,4]=>[6,3,1,5,2,7,11,8,10,9,12,4]
[8,10,11,9,7,12,5,1,4,2,3,6]=>[5,4,2,1,12,3,9,8,11,10,7,6]
[8,10,11,9,12,7,6,1,4,2,3,5]=>[6,4,2,1,3,7,12,8,11,10,9,5]
[8,10,11,12,9,7,6,1,5,2,3,4]=>[6,5,2,3,1,7,9,8,12,10,11,4]
[8,10,12,11,9,7,6,1,5,2,4,3]=>[6,5,4,2,1,7,9,8,11,10,12,3]
[8,11,10,9,7,12,5,1,4,3,2,6]=>[5,3,4,1,12,2,9,8,10,11,7,6]
[8,11,10,9,12,7,6,1,4,3,2,5]=>[6,3,4,1,2,7,12,8,10,11,9,5]
[8,11,10,12,9,7,6,1,5,3,2,4]=>[6,3,5,2,1,7,9,8,12,11,10,4]
[8,11,12,10,9,7,6,1,5,4,2,3]=>[6,4,2,5,1,7,9,8,10,12,11,3]
[8,12,11,10,9,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,9,8,10,11,12,2]
[9,8,7,10,12,11,3,2,1,4,6,5]=>[2,3,11,1,6,4,8,9,7,10,12,5]
[9,8,7,11,10,12,3,2,1,5,4,6]=>[2,3,12,5,1,4,8,9,7,11,10,6]
[9,8,7,11,12,10,3,2,1,6,4,5]=>[2,3,10,6,4,1,8,9,7,12,11,5]
[9,8,7,12,11,10,3,2,1,6,5,4]=>[2,3,10,5,6,1,8,9,7,11,12,4]
[9,8,10,7,11,12,4,2,1,3,5,6]=>[2,4,1,12,3,5,10,9,8,7,11,6]
[9,8,10,7,12,11,4,2,1,3,6,5]=>[2,4,1,11,6,3,10,9,8,7,12,5]
[9,8,10,11,7,12,5,2,1,3,4,6]=>[2,5,1,3,12,4,11,9,8,10,7,6]
[9,8,10,11,12,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,12,9,8,10,11,5]
[9,8,10,12,11,7,6,2,1,3,5,4]=>[2,6,1,5,3,7,11,9,8,10,12,4]
[9,8,11,10,7,12,5,2,1,4,3,6]=>[2,5,4,1,12,3,10,9,8,11,7,6]
[9,8,11,10,12,7,6,2,1,4,3,5]=>[2,6,4,1,3,7,12,9,8,11,10,5]
[9,8,11,12,10,7,6,2,1,5,3,4]=>[2,6,5,3,1,7,10,9,8,12,11,4]
[9,8,12,11,10,7,6,2,1,5,4,3]=>[2,6,4,5,1,7,10,9,8,11,12,3]
[9,10,8,7,11,12,4,3,1,2,5,6]=>[3,1,4,12,2,5,8,10,9,7,11,6]
[9,10,8,7,12,11,4,3,1,2,6,5]=>[3,1,4,11,6,2,8,10,9,7,12,5]
[9,10,8,11,7,12,5,3,1,2,4,6]=>[3,1,5,2,12,4,11,10,9,8,7,6]
[9,10,8,11,12,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,12,10,9,8,11,5]
[9,10,8,12,11,7,6,3,1,2,5,4]=>[3,1,6,5,2,7,11,10,9,8,12,4]
[9,10,11,8,7,12,5,4,1,2,3,6]=>[4,1,2,5,12,3,8,11,9,10,7,6]
[9,10,11,8,12,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,12,11,9,10,8,5]
[9,10,11,12,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,12,9,10,11,4]
[9,10,12,11,8,7,6,5,1,2,4,3]=>[5,1,4,2,6,7,8,11,9,10,12,3]
[9,11,10,8,7,12,5,4,1,3,2,6]=>[4,3,1,5,12,2,8,10,9,11,7,6]
[9,11,10,8,12,7,6,4,1,3,2,5]=>[4,3,1,6,2,7,12,10,9,11,8,5]
[9,11,10,12,8,7,6,5,1,3,2,4]=>[5,3,1,2,6,7,8,12,9,11,10,4]
[9,11,12,10,8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,10,9,12,11,3]
[9,12,11,10,8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,10,9,11,12,2]
[10,9,8,7,11,12,4,3,2,1,5,6]=>[2,3,4,12,1,5,8,9,10,7,11,6]
[10,9,8,7,12,11,4,3,2,1,6,5]=>[2,3,4,11,6,1,8,9,10,7,12,5]
[10,9,8,11,7,12,5,3,2,1,4,6]=>[2,3,5,1,12,4,11,9,10,8,7,6]
[10,9,8,11,12,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,12,9,10,8,11,5]
[10,9,8,12,11,7,6,3,2,1,5,4]=>[2,3,6,5,1,7,11,9,10,8,12,4]
[10,9,11,8,7,12,5,4,2,1,3,6]=>[2,4,1,5,12,3,8,11,10,9,7,6]
[10,9,11,8,12,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,12,11,10,9,8,5]
[10,9,11,12,8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,12,10,9,11,4]
[10,9,12,11,8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,11,10,9,12,3]
[10,11,9,8,7,12,5,4,3,1,2,6]=>[3,1,4,5,12,2,8,9,11,10,7,6]
[10,11,9,8,12,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,12,9,11,10,8,5]
[10,11,9,12,8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,12,11,10,9,4]
[10,11,12,9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,12,10,11,3]
[10,12,11,9,8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,9,11,10,12,2]
[11,10,9,8,7,12,5,4,3,2,1,6]=>[2,3,4,5,12,1,8,9,10,11,7,6]
[11,10,9,8,12,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,12,9,10,11,8,5]
[11,10,9,12,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,12,10,11,9,4]
[11,10,12,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,12,11,10,3]
[11,12,10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,12,11,2]
[1,2,3,4,5,6,7,8,9,12,10,11]=>[1,2,3,4,5,6,7,8,9,12,10,11]
[12,1,3,4,5,6,7,8,9,10,11,2]=>[12,11,1,3,4,5,6,7,8,9,10,2]
[3,2,5,4,7,6,9,8,11,10,1,12]=>[10,3,2,5,4,7,6,9,8,11,1,12]
[3,2,5,4,7,6,9,8,1,12,10,11]=>[8,3,2,5,4,7,6,9,1,12,10,11]
[3,2,5,4,7,6,11,10,8,9,1,12]=>[9,3,2,5,4,7,6,10,8,11,1,12]
[3,2,5,4,7,6,1,10,8,12,9,11]=>[6,3,2,5,4,7,1,10,12,8,9,11]
[3,2,5,4,7,6,1,12,11,8,9,10]=>[6,3,2,5,4,7,1,11,8,9,12,10]
[3,2,5,4,9,8,6,7,11,10,1,12]=>[10,3,2,5,4,8,6,9,7,11,1,12]
[3,2,5,4,9,8,6,7,1,12,10,11]=>[7,3,2,5,4,8,6,9,1,12,10,11]
[3,2,5,4,11,8,6,10,7,9,1,12]=>[9,3,2,5,4,8,11,10,6,7,1,12]
[3,2,5,4,1,8,6,10,7,12,9,11]=>[4,3,2,5,1,8,10,6,12,7,9,11]
[3,2,5,4,1,8,6,12,11,7,9,10]=>[4,3,2,5,1,8,11,6,7,9,12,10]
[3,2,5,4,11,10,9,6,7,8,1,12]=>[8,3,2,5,4,9,6,7,10,11,1,12]
[3,2,5,4,1,10,9,6,7,12,8,11]=>[4,3,2,5,1,9,6,10,12,8,7,11]
[3,2,5,4,1,12,9,6,11,7,8,10]=>[4,3,2,5,1,9,12,6,11,8,7,10]
[3,2,5,4,1,12,11,10,6,7,8,9]=>[4,3,2,5,1,10,6,7,8,11,12,9]
[3,2,7,6,4,5,9,8,11,10,1,12]=>[10,3,2,6,4,7,5,9,8,11,1,12]
[3,2,7,6,4,5,9,8,1,12,10,11]=>[8,3,2,6,4,7,5,9,1,12,10,11]
[3,2,7,6,4,5,11,10,8,9,1,12]=>[9,3,2,6,4,7,5,10,8,11,1,12]
[3,2,7,6,4,5,1,10,8,12,9,11]=>[5,3,2,6,4,7,1,10,12,8,9,11]
[3,2,7,6,4,5,1,12,11,8,9,10]=>[5,3,2,6,4,7,1,11,8,9,12,10]
[3,2,9,6,4,8,5,7,11,10,1,12]=>[10,3,2,6,9,8,4,5,7,11,1,12]
[3,2,9,6,4,8,5,7,1,12,10,11]=>[7,3,2,6,9,8,4,5,1,12,10,11]
[3,2,11,6,4,8,5,10,7,9,1,12]=>[9,3,2,6,11,8,10,5,7,4,1,12]
[3,2,1,6,4,8,5,10,7,12,9,11]=>[2,3,1,6,8,4,10,5,12,7,9,11]
[3,2,1,6,4,8,5,12,11,7,9,10]=>[2,3,1,6,8,4,11,5,7,9,12,10]
[3,2,11,6,4,10,9,5,7,8,1,12]=>[8,3,2,6,11,9,4,7,10,5,1,12]
[3,2,1,6,4,10,9,5,7,12,8,11]=>[2,3,1,6,9,4,5,10,12,8,7,11]
[3,2,1,6,4,12,9,5,11,7,8,10]=>[2,3,1,6,9,4,12,5,11,8,7,10]
[3,2,1,6,4,12,11,10,5,7,8,9]=>[2,3,1,6,10,4,5,7,8,11,12,9]
[3,2,9,8,7,4,5,6,11,10,1,12]=>[10,3,2,7,4,5,8,9,6,11,1,12]
[3,2,9,8,7,4,5,6,1,12,10,11]=>[6,3,2,7,4,5,8,9,1,12,10,11]
[3,2,11,8,7,4,5,10,6,9,1,12]=>[9,3,2,7,4,8,11,10,6,5,1,12]
[3,2,1,8,7,4,5,10,6,12,9,11]=>[2,3,1,7,4,8,10,6,12,5,9,11]
[3,2,1,8,7,4,5,12,11,6,9,10]=>[2,3,1,7,4,8,11,6,5,9,12,10]
[3,2,11,10,7,4,9,5,6,8,1,12]=>[8,3,2,7,10,4,9,6,5,11,1,12]
[3,2,1,10,7,4,9,5,6,12,8,11]=>[2,3,1,7,10,4,9,12,5,6,8,11]
[3,2,1,12,7,4,9,5,11,6,8,10]=>[2,3,1,7,12,9,11,4,5,8,6,10]
[3,2,1,12,7,4,11,10,5,6,8,9]=>[2,3,1,7,12,4,10,6,8,11,5,9]
[3,2,11,10,9,8,4,5,6,7,1,12]=>[7,3,2,8,4,5,6,9,10,11,1,12]
[3,2,1,10,9,8,4,5,6,12,7,11]=>[2,3,1,8,4,5,9,10,12,6,7,11]
[3,2,1,12,9,8,4,5,11,6,7,10]=>[2,3,1,8,4,9,6,12,11,7,5,10]
[3,2,1,12,11,8,4,10,5,6,7,9]=>[2,3,1,8,11,4,6,10,7,5,12,9]
[3,2,1,12,11,10,9,4,5,6,7,8]=>[2,3,1,9,4,5,6,7,10,11,12,8]
[5,4,2,3,7,6,9,8,11,10,1,12]=>[10,4,2,5,3,7,6,9,8,11,1,12]
[5,4,2,3,7,6,9,8,1,12,10,11]=>[8,4,2,5,3,7,6,9,1,12,10,11]
[5,4,2,3,7,6,11,10,8,9,1,12]=>[9,4,2,5,3,7,6,10,8,11,1,12]
[5,4,2,3,7,6,1,10,8,12,9,11]=>[6,4,2,5,3,7,1,10,12,8,9,11]
[5,4,2,3,7,6,1,12,11,8,9,10]=>[6,4,2,5,3,7,1,11,8,9,12,10]
[5,4,2,3,9,8,6,7,11,10,1,12]=>[10,4,2,5,3,8,6,9,7,11,1,12]
[5,4,2,3,9,8,6,7,1,12,10,11]=>[7,4,2,5,3,8,6,9,1,12,10,11]
[5,4,2,3,11,8,6,10,7,9,1,12]=>[9,4,2,5,3,8,11,10,6,7,1,12]
[5,4,2,3,1,8,6,10,7,12,9,11]=>[3,4,2,5,1,8,10,6,12,7,9,11]
[5,4,2,3,1,8,6,12,11,7,9,10]=>[3,4,2,5,1,8,11,6,7,9,12,10]
[5,4,2,3,11,10,9,6,7,8,1,12]=>[8,4,2,5,3,9,6,7,10,11,1,12]
[5,4,2,3,1,10,9,6,7,12,8,11]=>[3,4,2,5,1,9,6,10,12,8,7,11]
[5,4,2,3,1,12,9,6,11,7,8,10]=>[3,4,2,5,1,9,12,6,11,8,7,10]
[5,4,2,3,1,12,11,10,6,7,8,9]=>[3,4,2,5,1,10,6,7,8,11,12,9]
[7,4,2,6,3,5,9,8,11,10,1,12]=>[10,4,7,6,2,3,5,9,8,11,1,12]
[7,4,2,6,3,5,9,8,1,12,10,11]=>[8,4,7,6,2,3,5,9,1,12,10,11]
[7,4,2,6,3,5,11,10,8,9,1,12]=>[9,4,7,6,2,3,5,10,8,11,1,12]
[7,4,2,6,3,5,1,10,8,12,9,11]=>[5,4,7,6,2,3,1,10,12,8,9,11]
[7,4,2,6,3,5,1,12,11,8,9,10]=>[5,4,7,6,2,3,1,11,8,9,12,10]
[9,4,2,6,3,8,5,7,11,10,1,12]=>[10,4,9,6,8,3,5,2,7,11,1,12]
[9,4,2,6,3,8,5,7,1,12,10,11]=>[7,4,9,6,8,3,5,2,1,12,10,11]
[11,4,2,6,3,8,5,10,7,9,1,12]=>[9,4,11,6,8,3,10,2,7,5,1,12]
[1,4,2,6,3,8,5,10,7,12,9,11]=>[1,4,6,2,8,3,10,5,12,7,9,11]
[1,4,2,6,3,8,5,12,11,7,9,10]=>[1,4,6,2,8,3,11,5,7,9,12,10]
[11,4,2,6,3,10,9,5,7,8,1,12]=>[8,4,11,6,9,3,5,7,10,2,1,12]
[1,4,2,6,3,10,9,5,7,12,8,11]=>[1,4,6,2,9,3,5,10,12,8,7,11]
[1,4,2,6,3,12,9,5,11,7,8,10]=>[1,4,6,2,9,3,12,5,11,8,7,10]
[1,4,2,6,3,12,11,10,5,7,8,9]=>[1,4,6,2,10,3,5,7,8,11,12,9]
[9,4,2,8,7,3,5,6,11,10,1,12]=>[10,4,9,7,2,5,8,3,6,11,1,12]
[9,4,2,8,7,3,5,6,1,12,10,11]=>[6,4,9,7,2,5,8,3,1,12,10,11]
[11,4,2,8,7,3,5,10,6,9,1,12]=>[9,4,11,7,2,8,10,3,5,6,1,12]
[1,4,2,8,7,3,5,10,6,12,9,11]=>[1,4,7,2,3,8,10,6,12,5,9,11]
[1,4,2,8,7,3,5,12,11,6,9,10]=>[1,4,7,2,3,8,11,6,5,9,12,10]
[11,4,2,10,7,3,9,5,6,8,1,12]=>[8,4,11,7,10,2,9,6,5,3,1,12]
[1,4,2,10,7,3,9,5,6,12,8,11]=>[1,4,7,2,10,3,9,12,5,6,8,11]
[1,4,2,12,7,3,9,5,11,6,8,10]=>[1,4,7,2,12,9,11,3,5,8,6,10]
[1,4,2,12,7,3,11,10,5,6,8,9]=>[1,4,7,2,12,3,10,6,8,11,5,9]
[11,4,2,10,9,8,3,5,6,7,1,12]=>[7,4,11,8,2,5,6,9,10,3,1,12]
[1,4,2,10,9,8,3,5,6,12,7,11]=>[1,4,8,2,3,5,9,10,12,6,7,11]
[1,4,2,12,9,8,3,5,11,6,7,10]=>[1,4,8,2,3,9,6,12,11,7,5,10]
[1,4,2,12,11,8,3,10,5,6,7,9]=>[1,4,8,2,11,3,6,10,7,5,12,9]
[1,4,2,12,11,10,9,3,5,6,7,8]=>[1,4,9,2,3,5,6,7,10,11,12,8]
[7,6,5,2,3,4,9,8,11,10,1,12]=>[10,5,2,3,6,7,4,9,8,11,1,12]
[7,6,5,2,3,4,9,8,1,12,10,11]=>[8,5,2,3,6,7,4,9,1,12,10,11]
[7,6,5,2,3,4,11,10,8,9,1,12]=>[9,5,2,3,6,7,4,10,8,11,1,12]
[7,6,5,2,3,4,1,10,8,12,9,11]=>[4,5,2,3,6,7,1,10,12,8,9,11]
[7,6,5,2,3,4,1,12,11,8,9,10]=>[4,5,2,3,6,7,1,11,8,9,12,10]
[9,6,5,2,3,8,4,7,11,10,1,12]=>[10,5,2,6,9,8,4,3,7,11,1,12]
[9,6,5,2,3,8,4,7,1,12,10,11]=>[7,5,2,6,9,8,4,3,1,12,10,11]
[11,6,5,2,3,8,4,10,7,9,1,12]=>[9,5,2,6,11,8,10,3,7,4,1,12]
[1,6,5,2,3,8,4,10,7,12,9,11]=>[1,5,2,6,8,4,10,3,12,7,9,11]
[1,6,5,2,3,8,4,12,11,7,9,10]=>[1,5,2,6,8,4,11,3,7,9,12,10]
[11,6,5,2,3,10,9,4,7,8,1,12]=>[8,5,2,6,11,9,4,7,10,3,1,12]
[1,6,5,2,3,10,9,4,7,12,8,11]=>[1,5,2,6,9,4,3,10,12,8,7,11]
[1,6,5,2,3,12,9,4,11,7,8,10]=>[1,5,2,6,9,4,12,3,11,8,7,10]
[1,6,5,2,3,12,11,10,4,7,8,9]=>[1,5,2,6,10,4,3,7,8,11,12,9]
[9,8,5,2,7,3,4,6,11,10,1,12]=>[10,5,8,2,7,4,3,9,6,11,1,12]
[9,8,5,2,7,3,4,6,1,12,10,11]=>[6,5,8,2,7,4,3,9,1,12,10,11]
[11,8,5,2,7,3,4,10,6,9,1,12]=>[9,5,8,2,7,11,6,10,3,4,1,12]
[1,8,5,2,7,3,4,10,6,12,9,11]=>[1,5,8,2,7,10,3,4,12,6,9,11]
[1,8,5,2,7,3,4,12,11,6,9,10]=>[1,5,8,2,7,11,3,4,6,9,12,10]
[11,10,5,2,7,3,9,4,6,8,1,12]=>[8,5,10,7,9,2,3,6,4,11,1,12]
[1,10,5,2,7,3,9,4,6,12,8,11]=>[1,5,10,7,9,2,3,12,4,6,8,11]
[1,12,5,2,7,3,9,4,11,6,8,10]=>[1,5,12,7,9,11,3,6,4,8,2,10]
[1,12,5,2,7,3,11,10,4,6,8,9]=>[1,5,12,7,10,2,3,6,8,11,4,9]
[11,10,5,2,9,8,3,4,6,7,1,12]=>[7,5,10,2,8,4,6,9,3,11,1,12]
[1,10,5,2,9,8,3,4,6,12,7,11]=>[1,5,10,2,8,4,9,12,3,7,6,11]
[1,12,5,2,9,8,3,4,11,6,7,10]=>[1,5,12,2,8,9,4,11,3,7,6,10]
[1,12,5,2,11,8,3,10,4,6,7,9]=>[1,5,12,8,11,4,6,10,7,2,3,9]
[1,12,5,2,11,10,9,3,4,6,7,8]=>[1,5,12,2,9,4,6,7,10,11,3,8]
[9,8,7,6,2,3,4,5,11,10,1,12]=>[10,6,2,3,4,7,8,9,5,11,1,12]
[9,8,7,6,2,3,4,5,1,12,10,11]=>[5,6,2,3,4,7,8,9,1,12,10,11]
[11,8,7,6,2,3,4,10,5,9,1,12]=>[9,6,2,3,7,8,11,10,4,5,1,12]
[1,8,7,6,2,3,4,10,5,12,9,11]=>[1,6,2,3,7,8,10,4,12,5,9,11]
[1,8,7,6,2,3,4,12,11,5,9,10]=>[1,6,2,3,7,8,11,4,5,9,12,10]
[11,10,7,6,2,3,9,4,5,8,1,12]=>[8,6,2,7,4,10,9,5,3,11,1,12]
[1,10,7,6,2,3,9,4,5,12,8,11]=>[1,6,2,7,4,10,9,12,3,5,8,11]
[1,12,7,6,2,3,9,4,11,5,8,10]=>[1,6,2,7,12,9,11,4,5,8,3,10]
[1,12,7,6,2,3,11,10,4,5,8,9]=>[1,6,2,7,4,12,10,5,8,11,3,9]
[11,10,9,6,2,8,3,4,5,7,1,12]=>[7,6,9,2,4,8,5,3,10,11,1,12]
[1,10,9,6,2,8,3,4,5,12,7,11]=>[1,6,9,2,4,8,10,7,12,5,3,11]
[1,12,9,6,2,8,3,4,11,5,7,10]=>[1,6,9,3,8,12,4,2,11,7,5,10]
[1,12,11,6,2,8,3,10,4,5,7,9]=>[1,6,11,8,2,10,5,3,7,4,12,9]
[1,12,11,6,2,10,9,3,4,5,7,8]=>[1,6,11,2,4,9,5,7,10,3,12,8]
[11,10,9,8,7,2,3,4,5,6,1,12]=>[6,7,2,3,4,5,8,9,10,11,1,12]
[1,10,9,8,7,2,3,4,5,12,6,11]=>[1,7,2,3,4,8,9,10,12,6,5,11]
[1,12,9,8,7,2,3,4,11,5,6,10]=>[1,7,2,3,8,4,9,12,11,6,5,10]
[1,12,11,8,7,2,3,10,4,5,6,9]=>[1,7,2,8,4,5,11,10,6,3,12,9]
[1,12,11,10,7,2,9,3,4,5,6,8]=>[1,7,10,2,4,5,9,6,3,11,12,8]
[1,12,11,10,9,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,9,10,11,12,7]
[1,3,12,4,6,11,7,9,10,8,5,2]=>[1,5,3,8,10,4,12,11,6,9,7,2]
[1,3,12,4,6,11,8,9,7,10,5,2]=>[1,5,3,10,12,2,9,11,8,7,6,4]
[1,3,12,4,8,6,7,11,9,10,5,2]=>[1,5,3,10,12,8,6,2,11,9,7,4]
[1,3,12,4,10,6,8,9,7,11,5,2]=>[1,5,3,11,12,10,9,6,8,2,7,4]
[1,3,12,4,10,7,8,6,9,11,5,2]=>[1,5,3,11,12,8,10,7,6,2,9,4]
[1,3,12,5,6,4,8,11,9,10,7,2]=>[1,7,3,6,10,2,12,4,11,9,8,5]
[1,3,12,5,6,4,10,8,9,11,7,2]=>[1,7,3,6,11,2,12,10,8,4,9,5]
[1,3,12,5,8,6,7,4,10,11,9,2]=>[1,9,3,7,11,8,6,2,12,4,10,5]
[1,3,12,7,5,6,8,4,10,11,9,2]=>[1,9,3,8,7,2,11,6,12,4,10,5]
[1,3,12,5,10,6,8,9,7,4,11,2]=>[1,11,3,7,9,12,10,4,8,6,5,2]
[1,3,12,5,10,7,8,6,9,4,11,2]=>[1,11,3,9,12,8,10,7,6,5,4,2]
[1,3,12,7,5,6,10,8,9,4,11,2]=>[1,11,3,9,7,5,12,10,8,6,4,2]
[1,3,12,9,5,7,8,6,10,4,11,2]=>[1,11,3,10,9,8,5,7,12,6,4,2]
[1,3,12,9,6,7,5,8,10,4,11,2]=>[1,11,3,10,7,9,6,5,12,8,4,2]
[1,5,3,4,12,6,8,11,9,10,7,2]=>[1,7,5,3,4,10,12,2,11,9,8,6]
[1,5,3,4,12,6,10,8,9,11,7,2]=>[1,7,5,3,4,11,12,10,8,2,9,6]
[1,5,3,4,12,7,8,6,10,11,9,2]=>[1,9,5,3,4,8,11,2,12,6,10,7]
[1,5,3,4,12,7,10,8,9,6,11,2]=>[1,11,5,3,4,9,12,10,8,7,6,2]
[1,5,3,4,12,9,7,8,10,6,11,2]=>[1,11,5,3,4,10,9,7,12,8,6,2]
[1,7,3,5,6,4,12,8,10,11,9,2]=>[1,9,7,6,3,5,4,11,12,2,10,8]
[1,7,3,5,6,4,12,9,10,8,11,2]=>[1,11,7,6,3,5,4,10,12,9,8,2]
[1,7,4,5,3,6,12,8,10,11,9,2]=>[1,9,5,7,4,3,6,11,12,2,10,8]
[1,7,4,5,3,6,12,9,10,8,11,2]=>[1,11,5,7,4,3,6,10,12,9,8,2]
[1,9,3,5,8,6,7,4,12,10,11,2]=>[1,11,9,7,3,8,6,5,4,12,10,2]
[1,9,3,7,5,6,8,4,12,10,11,2]=>[1,11,9,8,7,5,3,6,4,12,10,2]
[1,9,4,5,3,7,8,6,12,10,11,2]=>[1,11,5,9,4,8,3,7,6,12,10,2]
[1,9,4,7,5,6,3,8,12,10,11,2]=>[1,11,6,9,7,5,4,3,8,12,10,2]
[1,9,6,4,5,7,3,8,12,10,11,2]=>[1,11,7,6,4,9,5,3,8,12,10,2]
[1,11,3,5,10,6,8,9,7,4,12,2]=>[1,12,11,7,3,9,10,4,8,5,6,2]
[1,11,3,5,10,7,8,6,9,4,12,2]=>[1,12,11,9,3,8,10,7,6,5,4,2]
[1,11,3,7,5,6,10,8,9,4,12,2]=>[1,12,11,9,7,5,3,10,8,6,4,2]
[1,11,3,9,5,7,8,6,10,4,12,2]=>[1,12,11,10,9,8,5,7,3,6,4,2]
[1,11,3,9,6,7,5,8,10,4,12,2]=>[1,12,11,10,7,9,6,5,3,8,4,2]
[1,11,4,5,3,7,10,8,9,6,12,2]=>[1,12,5,11,4,9,3,10,8,7,6,2]
[1,11,4,5,3,9,7,8,10,6,12,2]=>[1,12,5,11,4,10,9,7,3,8,6,2]
[1,11,4,7,5,6,3,9,10,8,12,2]=>[1,12,6,11,7,5,4,10,3,9,8,2]
[1,11,6,4,5,7,3,9,10,8,12,2]=>[1,12,7,6,4,11,5,10,3,9,8,2]
[1,11,4,9,5,7,8,6,3,10,12,2]=>[1,12,6,8,11,9,3,7,5,4,10,2]
[1,11,4,9,6,7,5,8,3,10,12,2]=>[1,12,8,11,7,9,6,5,4,3,10,2]
[1,11,6,4,5,9,7,8,3,10,12,2]=>[1,12,8,6,4,11,9,7,5,3,10,2]
[1,11,8,4,6,7,5,9,3,10,12,2]=>[1,12,9,8,7,4,6,11,5,3,10,2]
[1,11,8,5,6,4,7,9,3,10,12,2]=>[1,12,9,6,8,5,4,11,7,3,10,2]
[2,3,1,5,12,6,8,11,9,10,7,4]=>[3,2,1,7,5,10,12,4,11,9,8,6]
[2,3,1,5,12,6,10,8,9,11,7,4]=>[3,2,1,7,5,11,12,10,8,4,9,6]
[2,3,1,5,12,7,8,6,10,11,9,4]=>[3,2,1,9,5,8,11,4,12,6,10,7]
[2,3,1,5,12,7,10,8,9,6,11,4]=>[3,2,1,11,5,9,12,10,8,7,6,4]
[2,3,1,5,12,9,7,8,10,6,11,4]=>[3,2,1,11,5,10,9,7,12,8,6,4]
[2,3,1,7,5,6,12,8,10,11,9,4]=>[3,2,1,9,7,5,6,11,12,4,10,8]
[2,3,1,7,5,6,12,9,10,8,11,4]=>[3,2,1,11,7,5,6,10,12,9,8,4]
[2,3,1,9,5,7,8,6,12,10,11,4]=>[3,2,1,11,9,8,5,7,6,12,10,4]
[2,3,1,9,6,7,5,8,12,10,11,4]=>[3,2,1,11,7,9,6,5,8,12,10,4]
[2,3,1,11,5,7,10,8,9,6,12,4]=>[3,2,1,12,11,9,5,10,8,7,6,4]
[2,3,1,11,5,9,7,8,10,6,12,4]=>[3,2,1,12,11,10,9,7,5,8,6,4]
[2,3,1,11,6,7,5,9,10,8,12,4]=>[3,2,1,12,7,11,6,10,5,9,8,4]
[2,3,1,11,6,9,7,8,5,10,12,4]=>[3,2,1,12,8,11,9,7,6,5,10,4]
[2,3,1,11,8,6,7,9,5,10,12,4]=>[3,2,1,12,9,8,6,11,7,5,10,4]
[2,5,3,4,1,7,12,8,10,11,9,6]=>[4,2,5,3,1,9,7,11,12,6,10,8]
[2,5,3,4,1,7,12,9,10,8,11,6]=>[4,2,5,3,1,11,7,10,12,9,8,6]
[2,5,3,4,1,9,7,8,12,10,11,6]=>[4,2,5,3,1,11,9,7,8,12,10,6]
[2,5,3,4,1,11,7,9,10,8,12,6]=>[4,2,5,3,1,12,11,10,7,9,8,6]
[2,5,3,4,1,11,8,9,7,10,12,6]=>[4,2,5,3,1,12,9,11,8,7,10,6]
[4,2,3,5,1,7,12,8,10,11,9,6]=>[5,4,2,3,1,9,7,11,12,6,10,8]
[4,2,3,5,1,7,12,9,10,8,11,6]=>[5,4,2,3,1,11,7,10,12,9,8,6]
[4,2,3,5,1,9,7,8,12,10,11,6]=>[5,4,2,3,1,11,9,7,8,12,10,6]
[4,2,3,5,1,11,7,9,10,8,12,6]=>[5,4,2,3,1,12,11,10,7,9,8,6]
[4,2,3,5,1,11,8,9,7,10,12,6]=>[5,4,2,3,1,12,9,11,8,7,10,6]
[2,7,3,5,6,4,1,9,12,10,11,8]=>[4,2,6,7,1,5,3,11,9,12,10,8]
[2,7,3,5,6,4,1,11,9,10,12,8]=>[4,2,6,7,1,5,3,12,11,9,10,8]
[2,7,4,5,3,6,1,9,12,10,11,8]=>[6,2,5,7,4,3,1,11,9,12,10,8]
[2,7,4,5,3,6,1,11,9,10,12,8]=>[6,2,5,7,4,3,1,12,11,9,10,8]
[4,2,3,7,5,6,1,9,12,10,11,8]=>[6,4,2,3,7,5,1,11,9,12,10,8]
[4,2,3,7,5,6,1,11,9,10,12,8]=>[6,4,2,3,7,5,1,12,11,9,10,8]
[6,2,4,5,3,7,1,9,12,10,11,8]=>[7,6,5,2,4,3,1,11,9,12,10,8]
[6,2,4,5,3,7,1,11,9,10,12,8]=>[7,6,5,2,4,3,1,12,11,9,10,8]
[6,3,4,2,5,7,1,9,12,10,11,8]=>[7,4,6,3,2,5,1,11,9,12,10,8]
[6,3,4,2,5,7,1,11,9,10,12,8]=>[7,4,6,3,2,5,1,12,11,9,10,8]
[2,9,3,5,8,6,7,4,1,11,12,10]=>[4,2,7,9,1,8,6,5,3,12,11,10]
[2,9,3,7,5,6,8,4,1,11,12,10]=>[4,2,8,9,7,5,1,6,3,12,11,10]
[2,9,4,5,3,7,8,6,1,11,12,10]=>[6,2,5,8,1,9,3,7,4,12,11,10]
[2,9,4,7,5,6,3,8,1,11,12,10]=>[8,2,6,9,7,5,4,3,1,12,11,10]
[2,9,6,4,5,7,3,8,1,11,12,10]=>[8,2,7,6,4,9,5,3,1,12,11,10]
[4,2,3,9,5,7,8,6,1,11,12,10]=>[6,4,2,3,8,9,1,7,5,12,11,10]
[4,2,3,9,6,7,5,8,1,11,12,10]=>[8,4,2,3,7,9,6,5,1,12,11,10]
[6,2,4,5,3,9,7,8,1,11,12,10]=>[8,6,5,2,4,3,9,7,1,12,11,10]
[6,3,4,2,5,9,7,8,1,11,12,10]=>[8,4,6,3,2,5,9,7,1,12,11,10]
[8,2,4,7,5,6,3,9,1,11,12,10]=>[9,8,6,2,7,5,4,3,1,12,11,10]
[8,2,6,4,5,7,3,9,1,11,12,10]=>[9,8,7,6,4,2,5,3,1,12,11,10]
[8,3,4,2,6,7,5,9,1,11,12,10]=>[9,4,8,3,7,2,6,5,1,12,11,10]
[8,3,6,4,5,2,7,9,1,11,12,10]=>[9,5,8,6,4,3,2,7,1,12,11,10]
[8,5,3,4,6,2,7,9,1,11,12,10]=>[9,6,5,3,8,4,2,7,1,12,11,10]
[2,11,3,5,10,6,8,9,7,4,1,12]=>[4,2,7,9,3,11,10,5,8,6,1,12]
[2,11,3,5,10,7,8,6,9,4,1,12]=>[4,2,9,11,1,8,10,7,6,5,3,12]
[2,11,3,7,5,6,10,8,9,4,1,12]=>[4,2,9,11,7,5,1,10,8,6,3,12]
[2,11,3,9,5,7,8,6,10,4,1,12]=>[4,2,10,11,9,8,5,7,1,6,3,12]
[2,11,3,9,6,7,5,8,10,4,1,12]=>[4,2,10,11,7,9,6,5,1,8,3,12]
[2,11,4,5,3,7,10,8,9,6,1,12]=>[6,2,5,9,1,11,3,10,8,7,4,12]
[2,11,4,5,3,9,7,8,10,6,1,12]=>[6,2,5,10,1,11,9,7,3,8,4,12]
[2,11,4,7,5,6,3,9,10,8,1,12]=>[8,2,6,10,7,5,1,11,3,9,4,12]
[2,11,6,4,5,7,3,9,10,8,1,12]=>[8,2,7,6,1,10,5,11,3,9,4,12]
[2,11,4,9,5,7,8,6,3,10,1,12]=>[10,2,6,8,11,9,3,7,5,4,1,12]
[2,11,4,9,6,7,5,8,3,10,1,12]=>[10,2,8,11,7,9,6,5,4,3,1,12]
[2,11,6,4,5,9,7,8,3,10,1,12]=>[10,2,8,6,4,11,9,7,5,3,1,12]
[2,11,8,4,6,7,5,9,3,10,1,12]=>[10,2,9,8,7,4,6,11,5,3,1,12]
[2,11,8,5,6,4,7,9,3,10,1,12]=>[10,2,9,6,8,5,4,11,7,3,1,12]
[4,2,3,11,5,7,10,8,9,6,1,12]=>[6,4,2,3,9,11,1,10,8,7,5,12]
[4,2,3,11,5,9,7,8,10,6,1,12]=>[6,4,2,3,10,11,9,7,1,8,5,12]
[4,2,3,11,6,7,5,9,10,8,1,12]=>[8,4,2,3,7,10,1,11,5,9,6,12]
[4,2,3,11,6,9,7,8,5,10,1,12]=>[10,4,2,3,8,11,9,7,6,5,1,12]
[4,2,3,11,8,6,7,9,5,10,1,12]=>[10,4,2,3,9,8,6,11,7,5,1,12]
[6,2,4,5,3,11,7,9,10,8,1,12]=>[8,6,5,2,4,3,10,11,1,9,7,12]
[6,2,4,5,3,11,8,9,7,10,1,12]=>[10,6,5,2,4,3,9,11,8,7,1,12]
[6,3,4,2,5,11,7,9,10,8,1,12]=>[8,4,6,3,2,5,10,11,1,9,7,12]
[6,3,4,2,5,11,8,9,7,10,1,12]=>[10,4,6,3,2,5,9,11,8,7,1,12]
[8,2,4,7,5,6,3,11,9,10,1,12]=>[10,8,6,2,7,5,4,3,11,9,1,12]
[8,2,6,4,5,7,3,11,9,10,1,12]=>[10,8,7,6,4,2,5,3,11,9,1,12]
[8,3,4,2,6,7,5,11,9,10,1,12]=>[10,4,8,3,7,2,6,5,11,9,1,12]
[8,3,6,4,5,2,7,11,9,10,1,12]=>[10,5,8,6,4,3,2,7,11,9,1,12]
[8,5,3,4,6,2,7,11,9,10,1,12]=>[10,6,5,3,8,4,2,7,11,9,1,12]
[10,2,4,9,5,7,8,6,3,11,1,12]=>[11,10,6,2,8,9,3,7,4,5,1,12]
[10,2,4,9,6,7,5,8,3,11,1,12]=>[11,10,8,2,7,9,6,5,4,3,1,12]
[10,2,6,4,5,9,7,8,3,11,1,12]=>[11,10,8,6,4,2,9,7,5,3,1,12]
[10,2,8,4,6,7,5,9,3,11,1,12]=>[11,10,9,8,7,4,6,2,5,3,1,12]
[10,2,8,5,6,4,7,9,3,11,1,12]=>[11,10,9,6,8,5,4,2,7,3,1,12]
[10,3,4,2,6,9,7,8,5,11,1,12]=>[11,4,10,3,8,2,9,7,6,5,1,12]
[10,3,4,2,8,6,7,9,5,11,1,12]=>[11,4,10,3,9,8,6,2,7,5,1,12]
[10,3,6,4,5,2,8,9,7,11,1,12]=>[11,5,10,6,4,3,9,2,8,7,1,12]
[10,5,3,4,6,2,8,9,7,11,1,12]=>[11,6,5,3,10,4,9,2,8,7,1,12]
[10,3,8,4,6,7,5,2,9,11,1,12]=>[11,5,7,10,8,2,6,4,3,9,1,12]
[10,3,8,5,6,4,7,2,9,11,1,12]=>[11,7,10,6,8,5,4,3,2,9,1,12]
[10,5,3,4,8,6,7,2,9,11,1,12]=>[11,7,5,3,10,8,6,4,2,9,1,12]
[10,7,3,5,6,4,8,2,9,11,1,12]=>[11,8,7,6,3,5,10,4,2,9,1,12]
[10,7,4,5,3,6,8,2,9,11,1,12]=>[11,8,5,7,4,3,10,6,2,9,1,12]
[3,2,5,4,7,6,9,8,1,12,11,10]=>[8,3,2,5,4,7,6,9,1,11,12,10]
[3,2,5,4,7,6,11,10,9,8,1,12]=>[8,3,2,5,4,7,6,9,10,11,1,12]
[3,2,5,4,7,6,1,10,9,12,11,8]=>[6,3,2,5,4,7,1,11,10,9,12,8]
[3,2,5,4,7,6,1,12,11,10,9,8]=>[6,3,2,5,4,7,1,9,10,11,12,8]
[3,2,5,4,9,8,7,6,11,10,1,12]=>[10,3,2,5,4,7,8,9,6,11,1,12]
[3,2,5,4,9,8,7,6,1,12,11,10]=>[6,3,2,5,4,7,8,9,1,11,12,10]
[3,2,5,4,11,8,7,10,9,6,1,12]=>[6,3,2,5,4,9,8,10,11,1,7,12]
[3,2,5,4,1,8,7,10,9,12,11,6]=>[4,3,2,5,1,11,8,7,10,9,12,6]
[3,2,5,4,1,8,7,12,11,10,9,6]=>[4,3,2,5,1,9,8,7,10,11,12,6]
[3,2,5,4,11,10,9,8,7,6,1,12]=>[6,3,2,5,4,7,8,9,10,11,1,12]
[3,2,5,4,1,10,9,8,7,12,11,6]=>[4,3,2,5,1,11,8,9,10,7,12,6]
[3,2,5,4,1,12,9,8,11,10,7,6]=>[4,3,2,5,1,7,10,9,11,12,6,8]
[3,2,5,4,1,12,11,10,9,8,7,6]=>[4,3,2,5,1,7,8,9,10,11,12,6]
[3,2,7,6,5,4,9,8,11,10,1,12]=>[10,3,2,5,6,7,4,9,8,11,1,12]
[3,2,7,6,5,4,9,8,1,12,11,10]=>[8,3,2,5,6,7,4,9,1,11,12,10]
[3,2,7,6,5,4,11,10,9,8,1,12]=>[8,3,2,5,6,7,4,9,10,11,1,12]
[3,2,7,6,5,4,1,10,9,12,11,8]=>[4,3,2,5,6,7,1,11,10,9,12,8]
[3,2,7,6,5,4,1,12,11,10,9,8]=>[4,3,2,5,6,7,1,9,10,11,12,8]
[3,2,9,6,5,8,7,4,11,10,1,12]=>[10,3,2,7,6,8,9,4,5,11,1,12]
[3,2,9,6,5,8,7,4,1,12,11,10]=>[4,3,2,7,6,8,9,1,5,11,12,10]
[3,2,11,6,5,8,7,10,9,4,1,12]=>[4,3,2,9,6,10,8,1,11,7,5,12]
[3,2,1,6,5,8,7,10,9,12,11,4]=>[2,3,1,11,6,5,8,7,10,9,12,4]
[3,2,1,6,5,8,7,12,11,10,9,4]=>[2,3,1,9,6,5,8,7,10,11,12,4]
[3,2,11,6,5,10,9,8,7,4,1,12]=>[4,3,2,7,6,8,9,10,11,1,5,12]
[3,2,1,6,5,10,9,8,7,12,11,4]=>[2,3,1,11,6,5,8,9,10,7,12,4]
[3,2,1,6,5,12,9,8,11,10,7,4]=>[2,3,1,7,6,5,10,9,11,12,4,8]
[3,2,1,6,5,12,11,10,9,8,7,4]=>[2,3,1,7,6,5,8,9,10,11,12,4]
[3,2,9,8,7,6,5,4,11,10,1,12]=>[10,3,2,5,6,7,8,9,4,11,1,12]
[3,2,9,8,7,6,5,4,1,12,11,10]=>[4,3,2,5,6,7,8,9,1,11,12,10]
[3,2,11,8,7,6,5,10,9,4,1,12]=>[4,3,2,9,6,7,8,10,11,1,5,12]
[3,2,1,8,7,6,5,10,9,12,11,4]=>[2,3,1,11,6,7,8,5,10,9,12,4]
[3,2,1,8,7,6,5,12,11,10,9,4]=>[2,3,1,9,6,7,8,5,10,11,12,4]
[3,2,11,10,7,6,9,8,5,4,1,12]=>[4,3,2,5,8,7,9,10,1,11,6,12]
[3,2,1,10,7,6,9,8,5,12,11,4]=>[2,3,1,11,8,7,9,10,5,6,12,4]
[3,2,1,12,7,6,9,8,11,10,5,4]=>[2,3,1,5,10,7,11,9,4,12,8,6]
[3,2,1,12,7,6,11,10,9,8,5,4]=>[2,3,1,5,8,7,9,10,11,12,4,6]
[3,2,11,10,9,8,7,6,5,4,1,12]=>[4,3,2,5,6,7,8,9,10,11,1,12]
[3,2,1,10,9,8,7,6,5,12,11,4]=>[2,3,1,11,6,7,8,9,10,5,12,4]
[3,2,1,12,9,8,7,6,11,10,5,4]=>[2,3,1,5,10,7,8,9,11,12,4,6]
[3,2,1,12,11,8,7,10,9,6,5,4]=>[2,3,1,5,6,9,8,10,11,4,12,7]
[3,2,1,12,11,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,11,12,4]
[5,4,3,2,7,6,9,8,11,10,1,12]=>[10,3,4,5,2,7,6,9,8,11,1,12]
[5,4,3,2,7,6,9,8,1,12,11,10]=>[8,3,4,5,2,7,6,9,1,11,12,10]
[5,4,3,2,7,6,11,10,9,8,1,12]=>[8,3,4,5,2,7,6,9,10,11,1,12]
[5,4,3,2,7,6,1,10,9,12,11,8]=>[6,3,4,5,2,7,1,11,10,9,12,8]
[5,4,3,2,7,6,1,12,11,10,9,8]=>[6,3,4,5,2,7,1,9,10,11,12,8]
[5,4,3,2,9,8,7,6,11,10,1,12]=>[10,3,4,5,2,7,8,9,6,11,1,12]
[5,4,3,2,9,8,7,6,1,12,11,10]=>[6,3,4,5,2,7,8,9,1,11,12,10]
[5,4,3,2,11,8,7,10,9,6,1,12]=>[6,3,4,5,2,9,8,10,11,1,7,12]
[5,4,3,2,1,8,7,10,9,12,11,6]=>[2,3,4,5,1,11,8,7,10,9,12,6]
[5,4,3,2,1,8,7,12,11,10,9,6]=>[2,3,4,5,1,9,8,7,10,11,12,6]
[5,4,3,2,11,10,9,8,7,6,1,12]=>[6,3,4,5,2,7,8,9,10,11,1,12]
[5,4,3,2,1,10,9,8,7,12,11,6]=>[2,3,4,5,1,11,8,9,10,7,12,6]
[5,4,3,2,1,12,9,8,11,10,7,6]=>[2,3,4,5,1,7,10,9,11,12,6,8]
[5,4,3,2,1,12,11,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,11,12,6]
[7,4,3,6,5,2,9,8,11,10,1,12]=>[10,5,4,6,7,2,3,9,8,11,1,12]
[7,4,3,6,5,2,9,8,1,12,11,10]=>[8,5,4,6,7,2,3,9,1,11,12,10]
[7,4,3,6,5,2,11,10,9,8,1,12]=>[8,5,4,6,7,2,3,9,10,11,1,12]
[7,4,3,6,5,2,1,10,9,12,11,8]=>[2,5,4,6,7,1,3,11,10,9,12,8]
[7,4,3,6,5,2,1,12,11,10,9,8]=>[2,5,4,6,7,1,3,9,10,11,12,8]
[9,4,3,6,5,8,7,2,11,10,1,12]=>[10,7,4,8,6,2,9,5,3,11,1,12]
[9,4,3,6,5,8,7,2,1,12,11,10]=>[2,7,4,8,6,1,9,5,3,11,12,10]
[11,4,3,6,5,8,7,10,9,2,1,12]=>[2,9,4,10,6,1,8,5,11,7,3,12]
[1,4,3,6,5,8,7,10,9,12,11,2]=>[1,11,4,3,6,5,8,7,10,9,12,2]
[1,4,3,6,5,8,7,12,11,10,9,2]=>[1,9,4,3,6,5,8,7,10,11,12,2]
[11,4,3,6,5,10,9,8,7,2,1,12]=>[2,7,4,8,6,1,9,10,11,5,3,12]
[1,4,3,6,5,10,9,8,7,12,11,2]=>[1,11,4,3,6,5,8,9,10,7,12,2]
[1,4,3,6,5,12,9,8,11,10,7,2]=>[1,7,4,3,6,5,10,9,11,12,2,8]
[1,4,3,6,5,12,11,10,9,8,7,2]=>[1,7,4,3,6,5,8,9,10,11,12,2]
[9,4,3,8,7,6,5,2,11,10,1,12]=>[10,5,4,6,7,8,9,2,3,11,1,12]
[9,4,3,8,7,6,5,2,1,12,11,10]=>[2,5,4,6,7,8,9,1,3,11,12,10]
[11,4,3,8,7,6,5,10,9,2,1,12]=>[2,9,4,10,6,7,8,1,11,5,3,12]
[1,4,3,8,7,6,5,10,9,12,11,2]=>[1,11,4,3,6,7,8,5,10,9,12,2]
[1,4,3,8,7,6,5,12,11,10,9,2]=>[1,9,4,3,6,7,8,5,10,11,12,2]
[11,4,3,10,7,6,9,8,5,2,1,12]=>[2,5,4,8,9,7,11,10,3,6,1,12]
[1,4,3,10,7,6,9,8,5,12,11,2]=>[1,11,4,3,8,7,9,10,5,6,12,2]
[1,4,3,12,7,6,9,8,11,10,5,2]=>[1,5,4,3,10,7,11,9,2,12,8,6]
[1,4,3,12,7,6,11,10,9,8,5,2]=>[1,5,4,3,8,7,9,10,11,12,2,6]
[11,4,3,10,9,8,7,6,5,2,1,12]=>[2,5,4,6,7,8,9,10,11,1,3,12]
[1,4,3,10,9,8,7,6,5,12,11,2]=>[1,11,4,3,6,7,8,9,10,5,12,2]
[1,4,3,12,9,8,7,6,11,10,5,2]=>[1,5,4,3,10,7,8,9,11,12,2,6]
[1,4,3,12,11,8,7,10,9,6,5,2]=>[1,5,4,3,6,9,8,10,11,2,12,7]
[1,4,3,12,11,10,9,8,7,6,5,2]=>[1,5,4,3,6,7,8,9,10,11,12,2]
[7,6,5,4,3,2,9,8,11,10,1,12]=>[10,3,4,5,6,7,2,9,8,11,1,12]
[7,6,5,4,3,2,9,8,1,12,11,10]=>[8,3,4,5,6,7,2,9,1,11,12,10]
[7,6,5,4,3,2,11,10,9,8,1,12]=>[8,3,4,5,6,7,2,9,10,11,1,12]
[7,6,5,4,3,2,1,10,9,12,11,8]=>[2,3,4,5,6,7,1,11,10,9,12,8]
[7,6,5,4,3,2,1,12,11,10,9,8]=>[2,3,4,5,6,7,1,9,10,11,12,8]
[9,6,5,4,3,8,7,2,11,10,1,12]=>[10,7,4,5,6,8,9,2,3,11,1,12]
[9,6,5,4,3,8,7,2,1,12,11,10]=>[2,7,4,5,6,8,9,1,3,11,12,10]
[11,6,5,4,3,8,7,10,9,2,1,12]=>[2,9,4,5,6,10,8,1,11,7,3,12]
[1,6,5,4,3,8,7,10,9,12,11,2]=>[1,11,4,5,6,3,8,7,10,9,12,2]
[1,6,5,4,3,8,7,12,11,10,9,2]=>[1,9,4,5,6,3,8,7,10,11,12,2]
[11,6,5,4,3,10,9,8,7,2,1,12]=>[2,7,4,5,6,8,9,10,11,1,3,12]
[1,6,5,4,3,10,9,8,7,12,11,2]=>[1,11,4,5,6,3,8,9,10,7,12,2]
[1,6,5,4,3,12,9,8,11,10,7,2]=>[1,7,4,5,6,3,10,9,11,12,2,8]
[1,6,5,4,3,12,11,10,9,8,7,2]=>[1,7,4,5,6,3,8,9,10,11,12,2]
[9,8,5,4,7,6,3,2,11,10,1,12]=>[10,3,6,5,7,8,2,9,4,11,1,12]
[9,8,5,4,7,6,3,2,1,12,11,10]=>[2,3,6,5,7,8,1,9,4,11,12,10]
[11,8,5,4,7,6,3,10,9,2,1,12]=>[2,9,6,5,7,8,1,10,11,4,3,12]
[1,8,5,4,7,6,3,10,9,12,11,2]=>[1,11,6,5,7,8,3,4,10,9,12,2]
[1,8,5,4,7,6,3,12,11,10,9,2]=>[1,9,6,5,7,8,3,4,10,11,12,2]
[11,10,5,4,7,6,9,8,3,2,1,12]=>[2,3,8,5,9,7,1,10,6,11,4,12]
[1,10,5,4,7,6,9,8,3,12,11,2]=>[1,11,8,5,9,7,3,10,6,4,12,2]
[1,12,5,4,7,6,9,8,11,10,3,2]=>[1,3,10,5,11,7,2,9,6,12,8,4]
[1,12,5,4,7,6,11,10,9,8,3,2]=>[1,3,8,5,9,7,2,10,11,12,6,4]
[11,10,5,4,9,8,7,6,3,2,1,12]=>[2,3,6,5,7,8,9,10,1,11,4,12]
[1,10,5,4,9,8,7,6,3,12,11,2]=>[1,11,6,5,7,8,9,10,3,4,12,2]
[1,12,5,4,9,8,7,6,11,10,3,2]=>[1,3,10,5,11,7,8,9,2,12,6,4]
[1,12,5,4,11,8,7,10,9,6,3,2]=>[1,3,6,5,9,10,8,12,11,4,7,2]
[1,12,5,4,11,10,9,8,7,6,3,2]=>[1,3,6,5,7,8,9,10,11,12,2,4]
[9,8,7,6,5,4,3,2,11,10,1,12]=>[10,3,4,5,6,7,8,9,2,11,1,12]
[9,8,7,6,5,4,3,2,1,12,11,10]=>[2,3,4,5,6,7,8,9,1,11,12,10]
[11,8,7,6,5,4,3,10,9,2,1,12]=>[2,9,4,5,6,7,8,10,11,1,3,12]
[1,8,7,6,5,4,3,10,9,12,11,2]=>[1,11,4,5,6,7,8,3,10,9,12,2]
[1,8,7,6,5,4,3,12,11,10,9,2]=>[1,9,4,5,6,7,8,3,10,11,12,2]
[11,10,7,6,5,4,9,8,3,2,1,12]=>[2,3,8,5,6,7,9,10,1,11,4,12]
[1,10,7,6,5,4,9,8,3,12,11,2]=>[1,11,8,5,6,7,9,10,3,4,12,2]
[1,12,7,6,5,4,9,8,11,10,3,2]=>[1,3,10,5,6,7,11,9,2,12,8,4]
[1,12,7,6,5,4,11,10,9,8,3,2]=>[1,3,8,5,6,7,9,10,11,12,2,4]
[11,10,9,6,5,8,7,4,3,2,1,12]=>[2,3,4,7,6,8,9,1,10,11,5,12]
[1,10,9,6,5,8,7,4,3,12,11,2]=>[1,11,4,7,6,8,9,3,10,5,12,2]
[1,12,9,6,5,8,7,4,11,10,3,2]=>[1,3,10,7,6,8,9,2,11,12,5,4]
[1,12,11,6,5,8,7,10,9,4,3,2]=>[1,3,4,9,6,10,8,2,11,7,12,5]
[1,12,11,6,5,10,9,8,7,4,3,2]=>[1,3,4,7,6,8,9,10,11,2,12,5]
[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,1,12]
[1,10,9,8,7,6,5,4,3,12,11,2]=>[1,11,4,5,6,7,8,9,10,3,12,2]
[1,12,9,8,7,6,5,4,11,10,3,2]=>[1,3,10,5,6,7,8,9,11,12,2,4]
[1,12,11,8,7,6,5,10,9,4,3,2]=>[1,3,4,9,6,7,8,10,11,2,12,5]
[1,12,11,10,7,6,9,8,5,4,3,2]=>[1,3,4,5,8,7,9,10,2,11,12,6]
[1,12,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,12,2]
[12,11,10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,11,12,2]
[10,7,11,4,8,12,2,5,9,1,3,6]=>[9,12,1,11,2,3,10,4,5,7,8,6]
[9,6,10,4,7,2,5,11,1,3,8,12]=>[11,7,1,10,2,9,4,3,6,5,8,12]
[8,6,9,4,7,2,5,1,3,10,11,12]=>[5,7,1,9,2,8,4,6,3,10,11,12]
[9,6,3,10,11,2,7,8,1,4,5,12]=>[8,11,6,1,4,9,2,7,3,10,5,12]
[9,5,3,10,2,6,11,12,1,4,7,8]=>[12,10,5,1,9,2,4,7,3,6,11,8]
[8,5,3,9,2,6,10,1,4,7,11,12]=>[10,9,5,1,8,2,4,3,6,7,11,12]
[8,4,3,2,9,10,11,1,5,6,7,12]=>[11,3,4,8,1,5,6,2,9,10,7,12]
[9,10,6,7,11,3,4,8,1,2,5,12]=>[8,1,11,3,2,10,6,4,9,7,5,12]
[9,10,5,6,3,4,11,12,1,2,7,8]=>[12,1,6,3,10,5,2,7,9,4,11,8]
[8,9,5,6,3,4,10,1,2,7,11,12]=>[10,1,6,3,9,5,2,8,4,7,11,12]
[9,5,10,11,2,6,7,12,1,3,4,8]=>[12,11,1,3,9,2,6,4,5,10,7,8]
[8,5,9,10,2,6,7,1,3,4,11,12]=>[7,10,1,3,8,2,6,5,9,4,11,12]
[8,4,9,2,5,10,11,1,3,6,7,12]=>[11,9,1,8,2,3,6,4,5,10,7,12]
[8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,8,9,6,7,12]
[2,3,4,5,6,7,8,9,10,11,12,1]=>[12,2,3,4,5,6,7,8,9,10,11,1]
[2,4,1,5,6,7,8,9,10,11,12,3]=>[4,2,12,1,5,6,7,8,9,10,11,3]
[2,4,6,8,11,1,12,3,5,7,9,10]=>[11,2,12,4,3,6,5,8,7,9,1,10]
[2,4,6,9,1,10,12,3,5,7,8,11]=>[9,2,12,4,3,6,5,7,1,10,8,11]
[2,4,6,9,11,1,3,12,5,7,8,10]=>[11,2,1,4,12,6,5,7,9,8,3,10]
[2,4,6,10,1,11,3,12,5,7,8,9]=>[10,2,11,4,12,6,5,7,8,1,3,9]
[2,4,7,1,8,10,12,3,5,6,9,11]=>[7,2,12,4,3,5,1,8,6,10,9,11]
[2,4,7,1,8,11,3,12,5,6,9,10]=>[7,2,11,4,12,5,1,8,6,9,3,10]
[2,4,7,9,1,3,10,12,5,6,8,11]=>[9,2,1,4,12,5,7,6,3,10,8,11]
[2,4,8,1,9,3,10,12,5,6,7,11]=>[8,2,9,4,12,5,6,1,3,10,7,11]
[2,4,7,9,11,1,3,5,12,6,8,10]=>[11,2,1,4,3,12,7,6,9,8,5,10]
[2,4,7,10,1,11,3,5,12,6,8,9]=>[10,2,11,4,3,12,7,6,8,1,5,9]
[2,4,8,1,9,11,3,5,12,6,7,10]=>[8,2,11,4,3,12,6,1,9,7,5,10]
[2,4,8,10,1,3,11,5,12,6,7,9]=>[10,2,1,4,11,12,6,8,7,3,5,9]
[2,4,9,1,10,3,11,5,12,6,7,8]=>[9,2,10,4,11,12,6,7,1,3,5,8]
[2,5,1,6,8,10,12,3,4,7,9,11]=>[5,2,12,3,1,6,4,8,7,10,9,11]
[2,5,1,6,8,11,3,12,4,7,9,10]=>[5,2,11,12,1,6,4,8,7,9,3,10]
[2,5,1,6,9,3,10,12,4,7,8,11]=>[5,2,9,12,1,6,4,7,3,10,8,11]
[2,5,1,6,9,11,3,4,12,7,8,10]=>[5,2,11,3,1,6,12,7,9,8,4,10]
[2,5,1,6,10,3,11,4,12,7,8,9]=>[5,2,10,11,1,6,12,7,8,3,4,9]
[2,5,7,1,3,8,10,12,4,6,9,11]=>[7,2,1,12,5,4,3,8,6,10,9,11]
[2,5,7,1,3,8,11,4,12,6,9,10]=>[7,2,1,11,5,12,3,8,6,9,4,10]
[2,6,1,7,3,8,10,12,4,5,9,11]=>[6,2,7,12,4,1,3,8,5,10,9,11]
[2,6,1,7,3,8,11,4,12,5,9,10]=>[6,2,7,11,12,1,3,8,5,9,4,10]
[2,5,7,9,1,3,4,10,12,6,8,11]=>[9,2,1,3,5,12,7,6,4,10,8,11]
[2,5,8,1,9,3,4,10,12,6,7,11]=>[8,2,9,3,5,12,6,1,4,10,7,11]
[2,6,1,7,9,3,4,10,12,5,8,11]=>[6,2,9,3,12,1,7,5,4,10,8,11]
[2,6,8,1,3,9,4,10,12,5,7,11]=>[8,2,1,9,12,6,5,3,4,10,7,11]
[2,7,1,8,3,9,4,10,12,5,6,11]=>[7,2,8,9,12,5,1,3,4,10,6,11]
[2,5,7,9,11,1,3,4,6,12,8,10]=>[11,2,1,3,5,4,7,12,9,8,6,10]
[2,5,7,10,1,11,3,4,6,12,8,9]=>[10,2,11,3,5,4,7,12,8,1,6,9]
[2,5,8,1,9,11,3,4,6,12,7,10]=>[8,2,11,3,5,4,12,1,9,7,6,10]
[2,5,8,10,1,3,11,4,6,12,7,9]=>[10,2,1,11,5,4,12,8,7,3,6,9]
[2,5,9,1,10,3,11,4,6,12,7,8]=>[9,2,10,11,5,4,12,7,1,3,6,8]
[2,6,1,7,9,11,3,4,5,12,8,10]=>[6,2,11,3,4,1,7,12,9,8,5,10]
[2,6,1,7,10,3,11,4,5,12,8,9]=>[6,2,10,11,4,1,7,12,8,3,5,9]
[2,6,8,1,3,9,11,4,5,12,7,10]=>[8,2,1,11,4,6,12,3,9,7,5,10]
[2,7,1,8,3,9,11,4,5,12,6,10]=>[7,2,8,11,4,12,1,3,9,6,5,10]
[2,6,8,10,1,3,4,11,5,12,7,9]=>[10,2,1,3,11,6,12,8,7,4,5,9]
[2,6,9,1,10,3,4,11,5,12,7,8]=>[9,2,10,3,11,6,12,7,1,4,5,8]
[2,7,1,8,10,3,4,11,5,12,6,9]=>[7,2,10,3,11,12,1,8,6,4,5,9]
[2,7,9,1,3,10,4,11,5,12,6,8]=>[9,2,1,10,11,12,7,6,3,4,5,8]
[2,8,1,9,3,10,4,11,5,12,6,7]=>[8,2,9,10,11,12,6,1,3,4,5,7]
[3,1,4,6,8,10,12,2,5,7,9,11]=>[3,12,1,4,2,6,5,8,7,10,9,11]
[3,1,4,6,8,11,2,12,5,7,9,10]=>[3,11,1,4,12,6,5,8,7,9,2,10]
[3,1,4,6,9,2,10,12,5,7,8,11]=>[3,9,1,4,12,6,5,7,2,10,8,11]
[3,1,4,6,9,11,2,5,12,7,8,10]=>[3,11,1,4,2,6,12,7,9,8,5,10]
[3,1,4,6,10,2,11,5,12,7,8,9]=>[3,10,1,4,11,6,12,7,8,2,5,9]
[3,1,4,7,2,8,10,12,5,6,9,11]=>[3,7,1,4,12,5,2,8,6,10,9,11]
[3,1,4,7,2,8,11,5,12,6,9,10]=>[3,7,1,4,11,12,2,8,6,9,5,10]
[3,1,4,7,9,2,5,10,12,6,8,11]=>[3,9,1,4,2,12,7,6,5,10,8,11]
[3,1,4,8,2,9,5,10,12,6,7,11]=>[3,8,1,4,9,12,6,2,5,10,7,11]
[3,1,4,7,9,11,2,5,6,12,8,10]=>[3,11,1,4,2,5,7,12,9,8,6,10]
[3,1,4,7,10,2,11,5,6,12,8,9]=>[3,10,1,4,11,5,7,12,8,2,6,9]
[3,1,4,8,2,9,11,5,6,12,7,10]=>[3,8,1,4,11,5,12,2,9,7,6,10]
[3,1,4,8,10,2,5,11,6,12,7,9]=>[3,10,1,4,2,11,12,8,7,5,6,9]
[3,1,4,9,2,10,5,11,6,12,7,8]=>[3,9,1,4,10,11,12,7,2,5,6,8]
[3,5,1,2,6,8,10,12,4,7,9,11]=>[5,1,3,12,2,6,4,8,7,10,9,11]
[3,5,1,2,6,8,11,4,12,7,9,10]=>[5,1,3,11,2,6,12,8,7,9,4,10]
[3,5,1,2,6,9,4,10,12,7,8,11]=>[5,1,3,9,2,6,12,7,4,10,8,11]
[3,5,1,2,6,9,11,4,7,12,8,10]=>[5,1,3,11,2,6,4,12,9,8,7,10]
[3,5,1,2,6,10,4,11,7,12,8,9]=>[5,1,3,10,2,6,11,12,8,4,7,9]
[4,1,5,2,6,8,10,12,3,7,9,11]=>[4,5,12,1,2,6,3,8,7,10,9,11]
[4,1,5,2,6,8,11,3,12,7,9,10]=>[4,5,11,1,2,6,12,8,7,9,3,10]
[4,1,5,2,6,9,3,10,12,7,8,11]=>[4,5,9,1,2,6,12,7,3,10,8,11]
[4,1,5,2,6,9,11,3,7,12,8,10]=>[4,5,11,1,2,6,3,12,9,8,7,10]
[4,1,5,2,6,10,3,11,7,12,8,9]=>[4,5,10,1,2,6,11,12,8,3,7,9]
[3,5,7,1,2,4,8,10,12,6,9,11]=>[7,1,3,2,5,12,4,8,6,10,9,11]
[3,5,7,1,2,4,8,11,6,12,9,10]=>[7,1,3,2,5,11,4,8,12,9,6,10]
[3,6,1,7,2,4,8,10,12,5,9,11]=>[6,7,3,2,12,1,4,8,5,10,9,11]
[3,6,1,7,2,4,8,11,5,12,9,10]=>[6,7,3,2,11,1,4,8,12,9,5,10]
[4,1,5,7,2,3,8,10,12,6,9,11]=>[4,7,2,1,5,12,3,8,6,10,9,11]
[4,1,5,7,2,3,8,11,6,12,9,10]=>[4,7,2,1,5,11,3,8,12,9,6,10]
[4,6,1,2,7,3,8,10,12,5,9,11]=>[6,1,7,4,12,2,3,8,5,10,9,11]
[4,6,1,2,7,3,8,11,5,12,9,10]=>[6,1,7,4,11,2,3,8,12,9,5,10]
[5,1,6,2,7,3,8,10,12,4,9,11]=>[5,6,7,12,1,2,3,8,4,10,9,11]
[5,1,6,2,7,3,8,11,4,12,9,10]=>[5,6,7,11,1,2,3,8,12,9,4,10]
[3,5,7,9,1,2,4,6,10,12,8,11]=>[9,1,3,2,5,4,7,12,6,10,8,11]
[3,5,8,1,9,2,4,6,10,12,7,11]=>[8,9,3,2,5,4,12,1,6,10,7,11]
[3,6,1,7,9,2,4,5,10,12,8,11]=>[6,9,3,2,4,1,7,12,5,10,8,11]
[3,6,8,1,2,9,4,5,10,12,7,11]=>[8,1,3,9,4,6,12,2,5,10,7,11]
[3,7,1,8,2,9,4,5,10,12,6,11]=>[7,8,3,9,4,12,1,2,5,10,6,11]
[4,1,5,7,9,2,3,6,10,12,8,11]=>[4,9,2,1,5,3,7,12,6,10,8,11]
[4,1,5,8,2,9,3,6,10,12,7,11]=>[4,8,9,1,5,3,12,2,6,10,7,11]
[4,6,1,2,7,9,3,5,10,12,8,11]=>[6,1,9,4,3,2,7,12,5,10,8,11]
[5,1,6,2,7,9,3,4,10,12,8,11]=>[5,6,9,3,1,2,7,12,4,10,8,11]
[4,6,8,1,2,3,9,5,10,12,7,11]=>[8,1,2,4,9,6,12,3,5,10,7,11]
[4,7,1,8,2,3,9,5,10,12,6,11]=>[7,8,2,4,9,12,1,3,5,10,6,11]
[5,1,6,8,2,3,9,4,10,12,7,11]=>[5,8,2,9,1,6,12,3,4,10,7,11]
[5,7,1,2,8,3,9,4,10,12,6,11]=>[7,1,8,9,5,12,2,3,4,10,6,11]
[6,1,7,2,8,3,9,4,10,12,5,11]=>[6,7,8,9,12,1,2,3,4,10,5,11]
[3,5,7,9,11,1,2,4,6,8,12,10]=>[11,1,3,2,5,4,7,6,9,12,8,10]
[3,5,7,10,1,11,2,4,6,8,12,9]=>[10,11,3,2,5,4,7,6,12,1,8,9]
[3,5,8,1,9,11,2,4,6,7,12,10]=>[8,11,3,2,5,4,6,1,9,12,7,10]
[3,5,8,10,1,2,11,4,6,7,12,9]=>[10,1,3,11,5,4,6,8,12,2,7,9]
[3,5,9,1,10,2,11,4,6,7,12,8]=>[9,10,3,11,5,4,6,12,1,2,7,8]
[3,6,1,7,9,11,2,4,5,8,12,10]=>[6,11,3,2,4,1,7,5,9,12,8,10]
[3,6,1,7,10,2,11,4,5,8,12,9]=>[6,10,3,11,4,1,7,5,12,2,8,9]
[3,6,8,1,2,9,11,4,5,7,12,10]=>[8,1,3,11,4,6,5,2,9,12,7,10]
[3,7,1,8,2,9,11,4,5,6,12,10]=>[7,8,3,11,4,5,1,2,9,12,6,10]
[3,6,8,10,1,2,4,11,5,7,12,9]=>[10,1,3,2,11,6,5,8,12,4,7,9]
[3,6,9,1,10,2,4,11,5,7,12,8]=>[9,10,3,2,11,6,5,12,1,4,7,8]
[3,7,1,8,10,2,4,11,5,6,12,9]=>[7,10,3,2,11,5,1,8,12,4,6,9]
[3,7,9,1,2,10,4,11,5,6,12,8]=>[9,1,3,10,11,5,7,12,2,4,6,8]
[3,8,1,9,2,10,4,11,5,6,12,7]=>[8,9,3,10,11,5,12,1,2,4,6,7]
[4,1,5,7,9,11,2,3,6,8,12,10]=>[4,11,2,1,5,3,7,6,9,12,8,10]
[4,1,5,7,10,2,11,3,6,8,12,9]=>[4,10,11,1,5,3,7,6,12,2,8,9]
[4,1,5,8,2,9,11,3,6,7,12,10]=>[4,8,11,1,5,3,6,2,9,12,7,10]
[4,1,5,8,10,2,3,11,6,7,12,9]=>[4,10,2,1,5,11,6,8,12,3,7,9]
[4,1,5,9,2,10,3,11,6,7,12,8]=>[4,9,10,1,5,11,6,12,2,3,7,8]
[4,6,1,2,7,9,11,3,5,8,12,10]=>[6,1,11,4,3,2,7,5,9,12,8,10]
[4,6,1,2,7,10,3,11,5,8,12,9]=>[6,1,10,4,11,2,7,5,12,3,8,9]
[5,1,6,2,7,9,11,3,4,8,12,10]=>[5,6,11,3,1,2,7,4,9,12,8,10]
[5,1,6,2,7,10,3,11,4,8,12,9]=>[5,6,10,11,1,2,7,4,12,3,8,9]
[4,6,8,1,2,3,9,11,5,7,12,10]=>[8,1,2,4,11,6,5,3,9,12,7,10]
[4,7,1,8,2,3,9,11,5,6,12,10]=>[7,8,2,4,11,5,1,3,9,12,6,10]
[5,1,6,8,2,3,9,11,4,7,12,10]=>[5,8,2,11,1,6,4,3,9,12,7,10]
[5,7,1,2,8,3,9,11,4,6,12,10]=>[7,1,8,11,5,4,2,3,9,12,6,10]
[6,1,7,2,8,3,9,11,4,5,12,10]=>[6,7,8,11,4,1,2,3,9,12,5,10]
[4,6,8,10,1,2,3,5,11,7,12,9]=>[10,1,2,4,3,6,11,8,12,5,7,9]
[4,6,9,1,10,2,3,5,11,7,12,8]=>[9,10,2,4,3,6,11,12,1,5,7,8]
[4,7,1,8,10,2,3,5,11,6,12,9]=>[7,10,2,4,3,11,1,8,12,5,6,9]
[4,7,9,1,2,10,3,5,11,6,12,8]=>[9,1,10,4,3,11,7,12,2,5,6,8]
[4,8,1,9,2,10,3,5,11,6,12,7]=>[8,9,10,4,3,11,12,1,2,5,6,7]
[5,1,6,8,10,2,3,4,11,7,12,9]=>[5,10,2,3,1,6,11,8,12,4,7,9]
[5,1,6,9,2,10,3,4,11,7,12,8]=>[5,9,10,3,1,6,11,12,2,4,7,8]
[5,7,1,2,8,10,3,4,11,6,12,9]=>[7,1,10,3,5,11,2,8,12,4,6,9]
[6,1,7,2,8,10,3,4,11,5,12,9]=>[6,7,10,3,11,1,2,8,12,4,5,9]
[5,7,9,1,2,3,10,4,11,6,12,8]=>[9,1,2,10,5,11,7,12,3,4,6,8]
[5,8,1,9,2,3,10,4,11,6,12,7]=>[8,9,2,10,5,11,12,1,3,4,6,7]
[6,1,7,9,2,3,10,4,11,5,12,8]=>[6,9,2,10,11,1,7,12,3,4,5,8]
[6,8,1,2,9,3,10,4,11,5,12,7]=>[8,1,9,10,11,6,12,2,3,4,5,7]
[1,2,3,4,5,6,7,8,9,10,12,11]=>[1,2,3,4,5,6,7,8,9,10,12,11]
[1,3,4,5,6,7,8,9,10,11,12,2]=>[1,12,3,4,5,6,7,8,9,10,11,2]
[2,1,4,3,6,5,8,7,10,12,11,9]=>[2,1,4,3,6,5,8,7,11,10,12,9]
[2,1,4,3,6,5,8,10,9,7,12,11]=>[2,1,4,3,6,5,9,8,10,7,12,11]
[2,1,4,3,6,5,10,12,9,11,7,8]=>[2,1,4,3,6,5,11,7,12,10,9,8]
[2,1,4,3,6,5,8,9,12,10,11,7]=>[2,1,4,3,6,5,11,8,9,12,10,7]
[2,1,4,3,6,8,7,5,10,9,12,11]=>[2,1,4,3,7,6,8,5,10,9,12,11]
[2,1,4,3,6,8,7,5,10,12,11,9]=>[2,1,4,3,7,6,8,5,11,10,12,9]
[2,1,4,3,8,10,7,9,5,6,12,11]=>[2,1,4,3,9,5,10,8,7,6,12,11]
[2,1,4,3,10,9,7,12,6,11,5,8]=>[2,1,4,3,11,12,9,5,10,7,6,8]
[2,1,4,3,8,9,7,12,10,6,11,5]=>[2,1,4,3,11,10,9,8,7,12,6,5]
[2,1,4,3,6,7,10,8,9,5,12,11]=>[2,1,4,3,9,6,7,10,8,5,12,11]
[2,1,4,3,10,7,12,8,9,11,5,6]=>[2,1,4,3,11,5,10,12,8,7,9,6]
[2,1,4,3,6,9,12,8,11,10,5,7]=>[2,1,4,3,10,6,5,11,9,12,7,8]
[2,1,4,3,6,7,8,12,9,10,11,5]=>[2,1,4,3,11,6,7,8,12,9,10,5]
[2,1,4,6,5,3,8,7,10,9,12,11]=>[2,1,5,4,6,3,8,7,10,9,12,11]
[2,1,4,6,5,3,8,7,10,12,11,9]=>[2,1,5,4,6,3,8,7,11,10,12,9]
[2,1,4,6,5,3,8,10,9,7,12,11]=>[2,1,5,4,6,3,9,8,10,7,12,11]
[2,1,4,6,5,3,10,12,9,11,7,8]=>[2,1,5,4,6,3,11,7,12,10,9,8]
[2,1,4,6,5,3,8,9,12,10,11,7]=>[2,1,5,4,6,3,11,8,9,12,10,7]
[2,1,6,8,5,7,3,4,10,9,12,11]=>[2,1,7,3,8,6,5,4,10,9,12,11]
[2,1,6,8,5,7,3,4,10,12,11,9]=>[2,1,7,3,8,6,5,4,11,10,12,9]
[2,1,8,7,5,10,4,9,3,6,12,11]=>[2,1,9,10,7,3,8,5,4,6,12,11]
[2,1,10,7,5,9,4,12,6,11,3,8]=>[2,1,11,9,7,10,12,3,6,4,5,8]
[2,1,8,7,5,9,4,12,10,6,11,3]=>[2,1,11,9,7,8,10,6,4,12,5,3]
[2,1,6,7,5,10,8,4,9,3,12,11]=>[2,1,9,8,7,6,5,10,4,3,12,11]
[2,1,10,8,5,7,12,4,9,11,3,6]=>[2,1,11,12,8,3,5,10,4,7,9,6]
[2,1,6,9,5,8,12,3,11,10,4,7]=>[2,1,12,10,9,6,4,5,8,11,3,7]
[2,1,6,7,5,8,12,9,3,10,11,4]=>[2,1,9,12,7,6,5,8,11,4,10,3]
[2,1,4,5,8,6,7,3,10,9,12,11]=>[2,1,7,4,5,8,6,3,10,9,12,11]
[2,1,4,5,8,6,7,3,10,12,11,9]=>[2,1,7,4,5,8,6,3,11,10,12,9]
[2,1,8,5,10,6,7,9,3,4,12,11]=>[2,1,9,3,8,10,6,5,7,4,12,11]
[2,1,10,5,9,6,7,12,4,11,3,8]=>[2,1,11,12,10,9,6,3,5,7,4,8]
[2,1,8,5,9,6,7,12,10,4,11,3]=>[2,1,11,10,8,9,6,5,7,12,4,3]
[2,1,4,7,10,6,9,8,3,5,12,11]=>[2,1,8,4,3,9,7,10,5,6,12,11]
[2,1,10,7,12,6,9,8,4,11,3,5]=>[2,1,11,8,3,9,12,10,7,4,6,5]
[2,1,4,9,12,6,10,8,11,7,3,5]=>[2,1,7,4,3,11,12,10,9,5,8,6]
[2,1,4,7,8,6,12,10,9,5,11,3]=>[2,1,11,4,9,8,7,6,10,12,5,3]
[2,1,4,5,6,10,7,8,9,3,12,11]=>[2,1,9,4,5,6,10,7,8,3,12,11]
[2,1,10,5,6,12,7,8,9,11,3,4]=>[2,1,11,3,10,5,12,7,8,6,9,4]
[2,1,4,9,6,12,7,8,11,10,3,5]=>[2,1,10,4,3,9,11,5,6,12,8,7]
[2,1,4,5,8,12,7,11,9,10,3,6]=>[2,1,10,4,5,3,12,8,11,9,7,6]
[2,1,4,5,6,7,12,8,9,10,11,3]=>[2,1,11,4,5,6,7,12,8,9,10,3]
[2,4,3,1,6,5,8,7,10,9,12,11]=>[3,2,4,1,6,5,8,7,10,9,12,11]
[2,4,3,1,6,5,8,7,10,12,11,9]=>[3,2,4,1,6,5,8,7,11,10,12,9]
[2,4,3,1,6,5,8,10,9,7,12,11]=>[3,2,4,1,6,5,9,8,10,7,12,11]
[2,4,3,1,6,5,10,12,9,11,7,8]=>[3,2,4,1,6,5,11,7,12,10,9,8]
[2,4,3,1,6,5,8,9,12,10,11,7]=>[3,2,4,1,6,5,11,8,9,12,10,7]
[2,4,3,1,6,8,7,5,10,9,12,11]=>[3,2,4,1,7,6,8,5,10,9,12,11]
[2,4,3,1,6,8,7,5,10,12,11,9]=>[3,2,4,1,7,6,8,5,11,10,12,9]
[2,4,3,1,8,10,7,9,5,6,12,11]=>[3,2,4,1,9,5,10,8,7,6,12,11]
[2,4,3,1,10,9,7,12,6,11,5,8]=>[3,2,4,1,11,12,9,5,10,7,6,8]
[2,4,3,1,8,9,7,12,10,6,11,5]=>[3,2,4,1,11,10,9,8,7,12,6,5]
[2,4,3,1,6,7,10,8,9,5,12,11]=>[3,2,4,1,9,6,7,10,8,5,12,11]
[2,4,3,1,10,7,12,8,9,11,5,6]=>[3,2,4,1,11,5,10,12,8,7,9,6]
[2,4,3,1,6,9,12,8,11,10,5,7]=>[3,2,4,1,10,6,5,11,9,12,7,8]
[2,4,3,1,6,7,8,12,9,10,11,5]=>[3,2,4,1,11,6,7,8,12,9,10,5]
[4,6,3,5,1,2,8,7,10,9,12,11]=>[5,1,6,4,3,2,8,7,10,9,12,11]
[4,6,3,5,1,2,8,7,10,12,11,9]=>[5,1,6,4,3,2,8,7,11,10,12,9]
[4,6,3,5,1,2,8,10,9,7,12,11]=>[5,1,6,4,3,2,9,8,10,7,12,11]
[4,6,3,5,1,2,10,12,9,11,7,8]=>[5,1,6,4,3,2,11,7,12,10,9,8]
[4,6,3,5,1,2,8,9,12,10,11,7]=>[5,1,6,4,3,2,11,8,9,12,10,7]
[6,5,3,8,2,7,1,4,10,9,12,11]=>[7,8,5,1,6,3,2,4,10,9,12,11]
[6,5,3,8,2,7,1,4,10,12,11,9]=>[7,8,5,1,6,3,2,4,11,10,12,9]
[8,5,3,7,2,10,4,9,1,6,12,11]=>[9,7,5,8,10,1,4,2,3,6,12,11]
[10,5,3,7,2,9,4,12,6,11,1,8]=>[11,7,5,10,9,12,4,1,2,3,6,8]
[8,5,3,7,2,9,4,12,10,6,11,1]=>[11,7,5,8,9,10,4,2,3,12,6,1]
[6,5,3,7,2,10,8,4,9,1,12,11]=>[9,7,5,6,8,4,2,10,3,1,12,11]
[10,5,3,8,2,7,12,4,9,11,1,6]=>[11,8,5,10,12,1,2,4,3,7,9,6]
[6,5,3,9,2,8,12,1,11,10,4,7]=>[12,9,5,6,10,4,3,2,8,11,1,7]
[6,5,3,7,2,8,12,9,1,10,11,4]=>[9,7,5,6,12,4,2,8,11,3,10,1]
[4,5,3,8,6,2,7,1,10,9,12,11]=>[7,6,5,4,3,8,2,1,10,9,12,11]
[4,5,3,8,6,2,7,1,10,12,11,9]=>[7,6,5,4,3,8,2,1,11,10,12,9]
[8,6,3,5,10,2,7,9,1,4,12,11]=>[9,10,6,1,3,8,2,5,7,4,12,11]
[10,6,3,5,9,2,7,12,4,11,1,8]=>[11,9,6,10,4,12,2,1,5,7,3,8]
[8,6,3,5,9,2,7,12,10,4,11,1]=>[11,9,6,8,4,10,2,5,7,12,3,1]
[4,7,3,6,10,1,9,8,2,5,12,11]=>[10,8,7,4,2,3,6,9,1,5,12,11]
[10,6,3,7,12,2,9,8,4,11,1,5]=>[11,12,6,10,1,8,4,9,2,7,3,5]
[4,9,3,6,12,1,10,8,11,7,2,5]=>[12,7,11,4,3,2,9,10,6,1,8,5]
[4,7,3,6,8,1,12,10,9,5,11,2]=>[8,11,7,4,9,3,6,1,10,12,5,2]
[4,5,3,6,10,7,1,8,9,2,12,11]=>[7,10,5,4,3,6,9,2,8,1,12,11]
[10,7,3,5,6,12,2,8,9,11,1,4]=>[11,12,7,1,3,5,10,2,8,6,9,4]
[4,9,3,7,6,12,1,8,11,10,2,5]=>[12,10,9,4,2,7,3,1,6,11,8,5]
[4,5,3,8,7,12,2,11,9,10,1,6]=>[10,12,5,4,3,1,8,7,11,9,2,6]
[4,5,3,6,7,12,8,2,9,10,11,1]=>[11,8,5,4,3,6,7,12,2,9,10,1]
[2,3,6,4,5,1,8,7,10,9,12,11]=>[5,2,3,6,4,1,8,7,10,9,12,11]
[2,3,6,4,5,1,8,7,10,12,11,9]=>[5,2,3,6,4,1,8,7,11,10,12,9]
[2,3,6,4,5,1,8,10,9,7,12,11]=>[5,2,3,6,4,1,9,8,10,7,12,11]
[2,3,6,4,5,1,10,12,9,11,7,8]=>[5,2,3,6,4,1,11,7,12,10,9,8]
[2,3,6,4,5,1,8,9,12,10,11,7]=>[5,2,3,6,4,1,11,8,9,12,10,7]
[6,3,8,4,5,7,1,2,10,9,12,11]=>[7,1,6,8,4,3,5,2,10,9,12,11]
[6,3,8,4,5,7,1,2,10,12,11,9]=>[7,1,6,8,4,3,5,2,11,10,12,9]
[8,3,7,4,5,10,2,9,1,6,12,11]=>[9,10,8,7,4,1,3,5,2,6,12,11]
[10,3,7,4,5,9,2,12,6,11,1,8]=>[11,9,10,7,4,12,3,1,5,2,6,8]
[8,3,7,4,5,9,2,12,10,6,11,1]=>[11,9,8,7,4,10,3,5,2,12,6,1]
[6,3,7,4,5,10,8,2,9,1,12,11]=>[9,8,6,7,4,3,5,10,2,1,12,11]
[10,3,8,4,5,7,12,2,9,11,1,6]=>[11,12,10,8,4,1,5,3,2,7,9,6]
[6,3,9,4,5,8,12,1,11,10,2,7]=>[12,10,6,9,4,3,2,5,8,11,1,7]
[6,3,7,4,5,8,12,9,1,10,11,2]=>[9,12,6,7,4,3,5,8,11,2,10,1]
[2,5,8,4,7,6,1,3,10,9,12,11]=>[6,2,1,7,5,8,3,4,10,9,12,11]
[2,5,8,4,7,6,1,3,10,12,11,9]=>[6,2,1,7,5,8,3,4,11,10,12,9]
[8,5,10,4,7,6,2,9,1,3,12,11]=>[9,6,1,7,10,8,5,2,4,3,12,11]
[10,5,9,4,7,6,2,12,3,11,1,8]=>[11,6,7,12,9,10,5,1,2,3,4,8]
[8,5,9,4,7,6,2,12,10,3,11,1]=>[11,6,7,10,9,8,5,2,3,12,4,1]
[2,7,10,4,8,6,9,5,1,3,12,11]=>[5,2,1,9,10,8,7,3,6,4,12,11]
[10,7,12,4,8,6,9,5,2,11,1,3]=>[11,5,1,9,12,8,10,2,6,7,4,3]
[2,9,8,4,12,6,10,3,11,7,1,5]=>[7,2,11,10,3,8,9,12,1,6,4,5]
[2,7,8,4,12,6,9,10,1,3,11,5]=>[10,2,1,8,11,12,7,4,6,9,3,5]
[2,5,6,4,10,8,7,3,9,1,12,11]=>[9,2,7,6,5,4,8,10,3,1,12,11]
[10,5,6,4,12,8,7,3,9,11,1,2]=>[11,1,7,6,8,5,12,10,3,4,9,2]
[2,9,8,4,6,12,7,3,11,10,1,5]=>[10,2,7,11,4,3,8,9,6,12,1,5]
[2,5,8,4,12,9,7,11,6,10,3,1]=>[3,2,10,8,5,11,9,4,12,6,7,1]
[2,5,6,4,7,12,9,8,1,10,11,3]=>[8,2,9,6,5,4,7,12,11,1,10,3]
[2,3,4,8,5,6,7,1,10,9,12,11]=>[7,2,3,4,8,5,6,1,10,9,12,11]
[2,3,4,8,5,6,7,1,10,12,11,9]=>[7,2,3,4,8,5,6,1,11,10,12,9]
[8,3,4,10,5,6,7,9,1,2,12,11]=>[9,1,8,3,10,5,6,4,7,2,12,11]
[10,3,4,9,5,6,7,12,2,11,1,8]=>[11,12,10,3,9,5,6,1,4,7,2,8]
[8,3,4,9,5,6,7,12,10,2,11,1]=>[11,10,8,3,9,5,6,4,7,12,2,1]
[2,7,4,10,5,6,9,8,1,3,12,11]=>[8,2,1,7,9,3,4,10,6,5,12,11]
[10,7,4,12,5,6,9,8,2,11,1,3]=>[11,8,1,7,9,2,10,12,6,4,5,3]
[2,9,4,12,5,6,10,8,11,7,1,3]=>[7,2,1,11,9,3,12,10,5,6,8,4]
[2,7,4,8,5,6,12,10,9,3,11,1]=>[11,2,9,7,8,5,4,6,10,12,3,1]
[2,3,6,10,5,9,7,8,1,4,12,11]=>[8,2,3,1,10,6,9,7,5,4,12,11]
[10,3,6,12,5,9,7,8,2,11,1,4]=>[11,8,10,1,12,3,9,7,5,6,2,4]
[2,9,6,12,5,11,7,8,10,1,3,4]=>[10,2,1,3,12,9,11,7,6,8,5,4]
[2,3,8,12,5,10,7,11,9,6,1,4]=>[6,2,3,1,9,11,12,8,10,7,5,4]
[2,3,6,7,5,12,10,8,9,4,11,1]=>[11,2,3,9,7,6,5,10,8,12,4,1]
[2,3,4,5,10,6,7,8,9,1,12,11]=>[9,2,3,4,5,10,6,7,8,1,12,11]
[10,3,4,5,12,6,7,8,9,11,1,2]=>[11,1,10,3,4,12,6,7,8,5,9,2]
[2,9,4,5,12,6,7,8,11,10,1,3]=>[10,2,1,9,4,11,3,7,5,12,8,6]
[2,3,8,5,12,6,7,11,9,10,1,4]=>[10,2,3,1,8,12,6,5,11,9,7,4]
[2,3,4,7,12,6,11,8,9,10,1,5]=>[10,2,3,4,1,12,7,11,8,9,6,5]
[2,3,4,5,6,12,7,8,9,10,11,1]=>[11,2,3,4,5,6,12,7,8,9,10,1]
[2,1,4,3,6,5,8,7,10,11,12,9]=>[2,1,4,3,6,5,8,7,12,10,11,9]
[2,1,4,3,6,5,8,9,10,7,12,11]=>[2,1,4,3,6,5,10,8,9,7,12,11]
[2,1,4,3,6,5,10,9,11,12,7,8]=>[2,1,4,3,6,5,12,7,10,9,11,8]
[2,1,4,3,6,5,8,9,10,11,12,7]=>[2,1,4,3,6,5,12,8,9,10,11,7]
[2,1,4,3,6,7,8,5,10,9,12,11]=>[2,1,4,3,8,6,7,5,10,9,12,11]
[2,1,4,3,6,7,8,5,10,11,12,9]=>[2,1,4,3,8,6,7,5,12,10,11,9]
[2,1,4,3,8,7,9,10,5,6,12,11]=>[2,1,4,3,10,5,8,7,9,6,12,11]
[2,1,4,3,10,7,11,9,5,12,8,6]=>[2,1,4,3,9,8,11,12,10,5,7,6]
[2,1,4,3,8,7,9,10,11,12,5,6]=>[2,1,4,3,12,5,8,7,9,10,11,6]
[2,1,4,3,6,7,8,9,10,5,12,11]=>[2,1,4,3,10,6,7,8,9,5,12,11]
[2,1,4,3,10,7,8,9,11,12,5,6]=>[2,1,4,3,12,5,10,7,8,9,11,6]
[2,1,4,3,6,9,8,10,11,5,12,7]=>[2,1,4,3,11,6,12,9,8,10,5,7]
[2,1,4,3,6,7,8,9,10,11,12,5]=>[2,1,4,3,12,6,7,8,9,10,11,5]
[2,1,4,5,6,3,8,7,10,9,12,11]=>[2,1,6,4,5,3,8,7,10,9,12,11]
[2,1,4,5,6,3,8,7,10,11,12,9]=>[2,1,6,4,5,3,8,7,12,10,11,9]
[2,1,4,5,6,3,8,9,10,7,12,11]=>[2,1,6,4,5,3,10,8,9,7,12,11]
[2,1,4,5,6,3,10,9,11,12,7,8]=>[2,1,6,4,5,3,12,7,10,9,11,8]
[2,1,4,5,6,3,8,9,10,11,12,7]=>[2,1,6,4,5,3,12,8,9,10,11,7]
[2,1,6,5,7,8,3,4,10,9,12,11]=>[2,1,8,3,6,5,7,4,10,9,12,11]
[2,1,6,5,7,8,3,4,10,11,12,9]=>[2,1,8,3,6,5,7,4,12,10,11,9]
[2,1,8,5,9,7,3,10,6,4,12,11]=>[2,1,7,6,9,10,8,3,5,4,12,11]
[2,1,10,5,11,7,3,9,6,12,8,4]=>[2,1,7,11,8,12,10,9,4,3,5,6]
[2,1,8,5,9,7,3,10,11,12,6,4]=>[2,1,7,6,9,12,8,3,5,10,11,4]
[2,1,6,5,7,8,9,10,3,4,12,11]=>[2,1,10,3,6,5,7,8,9,4,12,11]
[2,1,10,5,11,7,8,9,3,12,6,4]=>[2,1,9,6,12,10,11,7,8,4,3,5]
[2,1,6,5,9,10,8,12,11,4,7,3]=>[2,1,7,11,6,5,4,10,9,8,12,3]
[2,1,6,5,7,8,9,10,11,12,3,4]=>[2,1,12,3,6,5,7,8,9,10,11,4]
[2,1,4,5,6,7,8,3,10,9,12,11]=>[2,1,8,4,5,6,7,3,10,9,12,11]
[2,1,4,5,6,7,8,3,10,11,12,9]=>[2,1,8,4,5,6,7,3,12,10,11,9]
[2,1,8,5,6,7,9,10,3,4,12,11]=>[2,1,10,3,8,5,6,7,9,4,12,11]
[2,1,10,5,6,7,11,9,3,12,8,4]=>[2,1,9,8,11,3,6,12,10,7,5,4]
[2,1,8,5,6,7,9,10,11,12,3,4]=>[2,1,12,3,8,5,6,7,9,10,11,4]
[2,1,4,7,6,8,9,3,10,5,12,11]=>[2,1,9,4,10,7,6,8,3,5,12,11]
[2,1,10,7,6,8,9,3,11,12,5,4]=>[2,1,9,5,12,7,10,6,8,3,11,4]
[2,1,4,9,6,10,8,3,11,7,12,5]=>[2,1,8,4,10,12,9,11,7,5,3,6]
[2,1,4,7,6,8,9,10,11,3,12,5]=>[2,1,11,4,12,7,6,8,9,10,3,5]
[2,1,4,5,6,7,8,9,10,3,12,11]=>[2,1,10,4,5,6,7,8,9,3,12,11]
[2,1,10,5,6,7,8,9,11,12,3,4]=>[2,1,12,3,10,5,6,7,8,9,11,4]
[2,1,4,9,6,7,8,10,11,3,12,5]=>[2,1,11,4,12,9,6,7,8,10,3,5]
[2,1,4,5,8,7,9,10,3,11,12,6]=>[2,1,10,4,5,12,8,7,9,3,11,6]
[2,1,4,5,6,7,8,9,10,11,12,3]=>[2,1,12,4,5,6,7,8,9,10,11,3]
[2,3,4,1,6,5,8,7,10,9,12,11]=>[4,2,3,1,6,5,8,7,10,9,12,11]
[2,3,4,1,6,5,8,7,10,11,12,9]=>[4,2,3,1,6,5,8,7,12,10,11,9]
[2,3,4,1,6,5,8,9,10,7,12,11]=>[4,2,3,1,6,5,10,8,9,7,12,11]
[2,3,4,1,6,5,10,9,11,12,7,8]=>[4,2,3,1,6,5,12,7,10,9,11,8]
[2,3,4,1,6,5,8,9,10,11,12,7]=>[4,2,3,1,6,5,12,8,9,10,11,7]
[2,3,4,1,6,7,8,5,10,9,12,11]=>[4,2,3,1,8,6,7,5,10,9,12,11]
[2,3,4,1,6,7,8,5,10,11,12,9]=>[4,2,3,1,8,6,7,5,12,10,11,9]
[2,3,4,1,8,7,9,10,5,6,12,11]=>[4,2,3,1,10,5,8,7,9,6,12,11]
[2,3,4,1,10,7,11,9,5,12,8,6]=>[4,2,3,1,9,8,11,12,10,5,7,6]
[2,3,4,1,8,7,9,10,11,12,5,6]=>[4,2,3,1,12,5,8,7,9,10,11,6]
[2,3,4,1,6,7,8,9,10,5,12,11]=>[4,2,3,1,10,6,7,8,9,5,12,11]
[2,3,4,1,10,7,8,9,11,12,5,6]=>[4,2,3,1,12,5,10,7,8,9,11,6]
[2,3,4,1,6,9,8,10,11,5,12,7]=>[4,2,3,1,11,6,12,9,8,10,5,7]
[2,3,4,1,6,7,8,9,10,11,12,5]=>[4,2,3,1,12,6,7,8,9,10,11,5]
[4,3,5,6,1,2,8,7,10,9,12,11]=>[6,1,4,3,5,2,8,7,10,9,12,11]
[4,3,5,6,1,2,8,7,10,11,12,9]=>[6,1,4,3,5,2,8,7,12,10,11,9]
[4,3,5,6,1,2,8,9,10,7,12,11]=>[6,1,4,3,5,2,10,8,9,7,12,11]
[4,3,5,6,1,2,10,9,11,12,7,8]=>[6,1,4,3,5,2,12,7,10,9,11,8]
[4,3,5,6,1,2,8,9,10,11,12,7]=>[6,1,4,3,5,2,12,8,9,10,11,7]
[6,3,7,5,1,8,4,2,10,9,12,11]=>[5,4,7,8,6,1,3,2,10,9,12,11]
[6,3,7,5,1,8,4,2,10,11,12,9]=>[5,4,7,8,6,1,3,2,12,10,11,9]
[8,3,9,5,1,7,4,10,6,2,12,11]=>[5,9,6,10,8,7,2,1,3,4,12,11]
[10,3,11,5,1,7,4,9,6,12,8,2]=>[5,11,8,12,7,10,2,9,1,6,3,4]
[8,3,9,5,1,7,4,10,11,12,6,2]=>[5,9,6,12,8,7,2,1,3,10,11,4]
[6,3,7,5,1,8,9,10,4,2,12,11]=>[5,4,7,10,6,1,3,8,9,2,12,11]
[10,3,11,5,1,7,8,9,4,12,6,2]=>[5,11,6,12,10,9,2,7,8,1,3,4]
[6,3,9,5,2,10,8,12,11,4,7,1]=>[7,5,9,6,11,4,2,10,3,8,12,1]
[6,3,7,5,1,8,9,10,11,12,4,2]=>[5,4,7,12,6,1,3,8,9,10,11,2]
[4,3,5,6,7,8,1,2,10,9,12,11]=>[8,1,4,3,5,6,7,2,10,9,12,11]
[4,3,5,6,7,8,1,2,10,11,12,9]=>[8,1,4,3,5,6,7,2,12,10,11,9]
[8,3,9,5,6,7,1,10,4,2,12,11]=>[7,4,10,8,9,5,6,2,1,3,12,11]
[10,3,11,5,6,7,1,9,4,12,8,2]=>[7,8,12,10,9,2,6,11,1,4,5,3]
[8,3,9,5,6,7,1,10,11,12,4,2]=>[7,4,12,8,9,5,6,2,1,10,11,3]
[4,3,7,8,6,10,9,2,5,1,12,11]=>[5,9,4,3,2,8,7,6,10,1,12,11]
[10,3,11,7,6,8,9,4,1,12,5,2]=>[4,9,5,12,10,7,11,6,8,3,2,1]
[4,3,9,10,6,12,8,2,11,7,5,1]=>[5,7,4,3,11,8,12,10,9,6,2,1]
[4,3,7,8,6,9,10,12,11,5,1,2]=>[5,1,4,3,11,8,7,6,9,10,12,2]
[4,3,5,6,7,8,9,10,1,2,12,11]=>[10,1,4,3,5,6,7,8,9,2,12,11]
[10,3,11,5,6,7,8,9,1,12,4,2]=>[9,4,12,10,11,5,6,7,8,2,1,3]
[4,3,9,10,6,7,8,12,11,2,5,1]=>[5,11,4,3,2,10,6,7,9,8,12,1]
[4,3,5,8,9,7,12,10,1,11,6,2]=>[10,6,4,3,5,12,9,8,7,11,2,1]
[4,3,5,6,7,8,9,10,11,12,1,2]=>[12,1,4,3,5,6,7,8,9,10,11,2]
[2,3,4,5,6,1,8,7,10,9,12,11]=>[6,2,3,4,5,1,8,7,10,9,12,11]
[2,3,4,5,6,1,8,7,10,11,12,9]=>[6,2,3,4,5,1,8,7,12,10,11,9]
[2,3,4,5,6,1,8,9,10,7,12,11]=>[6,2,3,4,5,1,10,8,9,7,12,11]
[2,3,4,5,6,1,10,9,11,12,7,8]=>[6,2,3,4,5,1,12,7,10,9,11,8]
[2,3,4,5,6,1,8,9,10,11,12,7]=>[6,2,3,4,5,1,12,8,9,10,11,7]
[6,3,4,5,7,8,1,2,10,9,12,11]=>[8,1,6,3,4,5,7,2,10,9,12,11]
[6,3,4,5,7,8,1,2,10,11,12,9]=>[8,1,6,3,4,5,7,2,12,10,11,9]
[8,3,4,5,9,7,1,10,6,2,12,11]=>[7,6,9,1,4,10,8,5,3,2,12,11]
[10,3,4,5,11,7,1,9,6,12,8,2]=>[7,11,8,1,4,12,10,9,2,5,3,6]
[8,3,4,5,9,7,1,10,11,12,6,2]=>[7,6,9,1,4,12,8,5,3,10,11,2]
[6,3,4,5,7,8,9,10,1,2,12,11]=>[10,1,6,3,4,5,7,8,9,2,12,11]
[10,3,4,5,11,7,8,9,1,12,6,2]=>[9,6,12,2,4,10,11,7,8,5,1,3]
[6,3,4,5,9,10,8,12,11,2,7,1]=>[7,11,6,3,4,5,2,10,9,8,12,1]
[6,3,4,5,7,8,9,10,11,12,1,2]=>[12,1,6,3,4,5,7,8,9,10,11,2]
[2,5,4,6,7,1,8,3,10,9,12,11]=>[7,2,8,5,4,6,1,3,10,9,12,11]
[2,5,4,6,7,1,8,3,10,11,12,9]=>[7,2,8,5,4,6,1,3,12,10,11,9]
[8,5,4,6,7,1,9,10,3,2,12,11]=>[7,3,10,5,8,4,6,1,9,2,12,11]
[10,5,4,6,7,1,11,9,3,12,8,2]=>[7,8,12,5,9,4,6,11,10,1,2,3]
[8,5,4,6,7,1,9,10,11,12,3,2]=>[7,3,12,5,8,4,6,1,9,10,11,2]
[2,7,4,8,6,1,9,5,10,3,12,11]=>[6,2,8,10,7,9,5,3,1,4,12,11]
[10,7,4,8,6,1,9,5,11,12,3,2]=>[6,3,8,12,7,10,9,1,2,5,11,4]
[2,9,4,10,6,1,8,5,11,7,12,3]=>[6,2,10,12,9,8,11,3,5,1,7,4]
[2,7,4,8,6,1,9,10,11,5,12,3]=>[6,2,8,12,7,11,5,3,9,10,1,4]
[2,5,4,6,7,8,9,1,10,3,12,11]=>[9,2,10,5,4,6,7,8,1,3,12,11]
[10,5,4,6,7,8,9,1,11,12,3,2]=>[9,3,12,5,10,4,6,7,8,1,11,2]
[2,9,4,10,6,7,8,1,11,5,12,3]=>[8,2,12,9,11,10,6,7,4,1,5,3]
[2,5,4,8,9,7,11,10,3,6,12,1]=>[12,2,10,5,4,3,9,8,7,11,6,1]
[2,5,4,6,7,8,9,10,11,1,12,3]=>[11,2,12,5,4,6,7,8,9,10,1,3]
[2,3,4,5,6,7,8,1,10,9,12,11]=>[8,2,3,4,5,6,7,1,10,9,12,11]
[2,3,4,5,6,7,8,1,10,11,12,9]=>[8,2,3,4,5,6,7,1,12,10,11,9]
[8,3,4,5,6,7,9,10,1,2,12,11]=>[10,1,8,3,4,5,6,7,9,2,12,11]
[10,3,4,5,6,7,11,9,1,12,8,2]=>[9,8,11,1,4,5,6,12,10,7,3,2]
[8,3,4,5,6,7,9,10,11,12,1,2]=>[12,1,8,3,4,5,6,7,9,10,11,2]
[2,7,4,5,6,8,9,1,10,3,12,11]=>[9,2,10,7,4,5,6,8,1,3,12,11]
[10,7,4,5,6,8,9,1,11,12,3,2]=>[9,3,12,7,4,5,10,6,8,1,11,2]
[2,9,4,5,6,10,8,1,11,7,12,3]=>[8,2,10,12,1,5,9,11,7,3,6,4]
[2,7,4,5,6,8,9,10,11,1,12,3]=>[11,2,12,7,4,5,6,8,9,10,1,3]
[2,3,6,5,7,8,1,9,10,4,12,11]=>[8,2,3,10,6,5,7,1,9,4,12,11]
[10,3,6,5,7,8,1,9,11,12,4,2]=>[8,4,12,10,6,2,5,7,1,9,11,3]
[2,9,6,5,7,8,1,10,11,4,12,3]=>[8,2,12,11,6,9,5,7,1,10,4,3]
[2,3,8,5,9,7,1,10,6,11,12,4]=>[7,2,3,9,12,8,10,6,4,1,11,5]
[2,3,6,5,7,8,9,10,1,11,12,4]=>[10,2,3,12,6,5,7,8,9,1,11,4]
[2,3,4,5,6,7,8,9,10,1,12,11]=>[10,2,3,4,5,6,7,8,9,1,12,11]
[10,3,4,5,6,7,8,9,11,12,1,2]=>[12,1,10,3,4,5,6,7,8,9,11,2]
[2,9,4,5,6,7,8,10,11,1,12,3]=>[11,2,12,9,4,5,6,7,8,10,1,3]
[2,3,8,5,6,7,9,10,1,11,12,4]=>[10,2,3,12,8,5,6,7,9,1,11,4]
[2,3,4,7,6,8,9,1,10,11,12,5]=>[9,2,3,4,12,7,6,8,1,10,11,5]
[1,4,3,6,5,8,7,12,11,9,10,2]=>[1,10,4,3,6,5,8,7,11,9,12,2]
[1,4,3,6,5,10,9,7,8,12,11,2]=>[1,11,4,3,6,5,9,7,10,8,12,2]
[1,4,3,6,5,12,9,7,11,8,10,2]=>[1,10,4,3,6,5,9,12,11,7,8,2]
[1,4,3,6,5,12,11,10,7,8,9,2]=>[1,9,4,3,6,5,10,7,8,11,12,2]
[1,4,3,8,7,5,6,10,9,12,11,2]=>[1,11,4,3,7,5,8,6,10,9,12,2]
[1,4,3,8,7,5,6,12,11,9,10,2]=>[1,10,4,3,7,5,8,6,11,9,12,2]
[1,4,3,10,7,5,9,6,8,12,11,2]=>[1,11,4,3,7,10,9,5,6,8,12,2]
[1,4,3,12,7,5,9,6,11,8,10,2]=>[1,10,4,3,7,12,9,11,6,8,5,2]
[1,4,3,12,7,5,11,10,6,8,9,2]=>[1,9,4,3,7,12,10,5,8,11,6,2]
[1,4,3,10,9,8,5,6,7,12,11,2]=>[1,11,4,3,8,5,6,9,10,7,12,2]
[1,4,3,12,9,8,5,6,11,7,10,2]=>[1,10,4,3,8,5,9,12,11,7,6,2]
[1,4,3,12,11,8,5,10,6,7,9,2]=>[1,9,4,3,8,11,5,10,7,6,12,2]
[1,4,3,12,11,10,9,5,6,7,8,2]=>[1,8,4,3,9,5,6,7,10,11,12,2]
[1,6,5,3,4,8,7,10,9,12,11,2]=>[1,11,5,3,6,4,8,7,10,9,12,2]
[1,6,5,3,4,8,7,12,11,9,10,2]=>[1,10,5,3,6,4,8,7,11,9,12,2]
[1,6,5,3,4,10,9,7,8,12,11,2]=>[1,11,5,3,6,4,9,7,10,8,12,2]
[1,6,5,3,4,12,9,7,11,8,10,2]=>[1,10,5,3,6,4,9,12,11,7,8,2]
[1,6,5,3,4,12,11,10,7,8,9,2]=>[1,9,5,3,6,4,10,7,8,11,12,2]
[1,8,5,3,7,4,6,10,9,12,11,2]=>[1,11,5,8,7,3,4,6,10,9,12,2]
[1,8,5,3,7,4,6,12,11,9,10,2]=>[1,10,5,8,7,3,4,6,11,9,12,2]
[1,10,5,3,7,4,9,6,8,12,11,2]=>[1,11,5,10,7,9,4,6,3,8,12,2]
[1,12,5,3,7,4,9,6,11,8,10,2]=>[1,10,5,12,7,9,4,11,3,8,6,2]
[1,12,5,3,7,4,11,10,6,8,9,2]=>[1,9,5,12,7,10,4,6,8,11,3,2]
[1,10,5,3,9,8,4,6,7,12,11,2]=>[1,11,5,10,8,3,6,9,4,7,12,2]
[1,12,5,3,9,8,4,6,11,7,10,2]=>[1,10,5,12,8,3,9,11,4,6,7,2]
[1,12,5,3,11,8,4,10,6,7,9,2]=>[1,9,5,12,8,11,3,10,7,6,4,2]
[1,12,5,3,11,10,9,4,6,7,8,2]=>[1,8,5,12,9,3,6,7,10,11,4,2]
[1,8,7,6,3,4,5,10,9,12,11,2]=>[1,11,6,3,4,7,8,5,10,9,12,2]
[1,8,7,6,3,4,5,12,11,9,10,2]=>[1,10,6,3,4,7,8,5,11,9,12,2]
[1,10,7,6,3,4,9,5,8,12,11,2]=>[1,11,6,3,7,10,9,5,4,8,12,2]
[1,12,7,6,3,4,9,5,11,8,10,2]=>[1,10,6,3,7,12,9,11,4,8,5,2]
[1,12,7,6,3,4,11,10,5,8,9,2]=>[1,9,6,3,7,12,10,5,8,11,4,2]
[1,10,9,6,3,8,4,5,7,12,11,2]=>[1,11,6,9,3,8,5,4,10,7,12,2]
[1,12,9,6,3,8,4,5,11,7,10,2]=>[1,10,6,9,3,8,12,7,11,4,5,2]
[1,12,11,6,3,8,4,10,5,7,9,2]=>[1,9,6,11,8,10,3,4,7,5,12,2]
[1,12,11,6,3,10,9,4,5,7,8,2]=>[1,8,6,11,3,9,5,7,10,4,12,2]
[1,10,9,8,7,3,4,5,6,12,11,2]=>[1,11,7,3,4,5,8,9,10,6,12,2]
[1,12,9,8,7,3,4,5,11,6,10,2]=>[1,10,7,3,4,8,9,12,11,5,6,2]
[1,12,11,8,7,3,4,10,5,6,9,2]=>[1,9,7,3,8,5,11,10,6,4,12,2]
[1,12,11,10,7,3,9,4,5,6,8,2]=>[1,8,7,10,3,5,9,6,4,11,12,2]
[1,12,11,10,9,8,3,4,5,6,7,2]=>[1,7,8,3,4,5,6,9,10,11,12,2]
[3,1,2,6,5,8,7,10,9,12,11,4]=>[3,1,2,11,6,5,8,7,10,9,12,4]
[3,1,2,6,5,8,7,12,11,9,10,4]=>[3,1,2,10,6,5,8,7,11,9,12,4]
[3,1,2,6,5,10,9,7,8,12,11,4]=>[3,1,2,11,6,5,9,7,10,8,12,4]
[3,1,2,6,5,12,9,7,11,8,10,4]=>[3,1,2,10,6,5,9,12,11,7,8,4]
[3,1,2,6,5,12,11,10,7,8,9,4]=>[3,1,2,9,6,5,10,7,8,11,12,4]
[3,1,2,8,7,5,6,10,9,12,11,4]=>[3,1,2,11,7,5,8,6,10,9,12,4]
[3,1,2,8,7,5,6,12,11,9,10,4]=>[3,1,2,10,7,5,8,6,11,9,12,4]
[3,1,2,10,7,5,9,6,8,12,11,4]=>[3,1,2,11,7,10,9,5,6,8,12,4]
[3,1,2,12,7,5,9,6,11,8,10,4]=>[3,1,2,10,7,12,9,11,6,8,5,4]
[3,1,2,12,7,5,11,10,6,8,9,4]=>[3,1,2,9,7,12,10,5,8,11,6,4]
[3,1,2,10,9,8,5,6,7,12,11,4]=>[3,1,2,11,8,5,6,9,10,7,12,4]
[3,1,2,12,9,8,5,6,11,7,10,4]=>[3,1,2,10,8,5,9,12,11,7,6,4]
[3,1,2,12,11,8,5,10,6,7,9,4]=>[3,1,2,9,8,11,5,10,7,6,12,4]
[3,1,2,12,11,10,9,5,6,7,8,4]=>[3,1,2,8,9,5,6,7,10,11,12,4]
[3,1,5,2,4,8,7,10,9,12,11,6]=>[3,5,1,2,4,11,8,7,10,9,12,6]
[3,1,5,2,4,8,7,12,11,9,10,6]=>[3,5,1,2,4,10,8,7,11,9,12,6]
[3,1,5,2,4,10,9,7,8,12,11,6]=>[3,5,1,2,4,11,9,7,10,8,12,6]
[3,1,5,2,4,12,9,7,11,8,10,6]=>[3,5,1,2,4,10,9,12,11,7,8,6]
[3,1,5,2,4,12,11,10,7,8,9,6]=>[3,5,1,2,4,9,10,7,8,11,12,6]
[3,1,5,2,7,4,6,10,9,12,11,8]=>[3,5,1,7,2,4,6,11,10,9,12,8]
[3,1,5,2,7,4,6,12,11,9,10,8]=>[3,5,1,7,2,4,6,10,11,9,12,8]
[3,1,5,2,7,4,9,6,8,12,11,10]=>[3,5,1,7,2,9,4,6,8,11,12,10]
[3,1,5,2,7,4,9,6,11,8,10,12]=>[3,5,1,7,2,9,4,11,6,8,10,12]
[3,1,5,2,7,4,11,10,6,8,9,12]=>[3,5,1,7,2,10,4,6,8,11,9,12]
[3,1,5,2,9,8,4,6,7,12,11,10]=>[3,5,1,8,2,4,6,9,7,11,12,10]
[3,1,5,2,9,8,4,6,11,7,10,12]=>[3,5,1,8,2,4,9,11,7,6,10,12]
[3,1,5,2,11,8,4,10,6,7,9,12]=>[3,5,1,8,2,11,4,10,7,6,9,12]
[3,1,5,2,11,10,9,4,6,7,8,12]=>[3,5,1,9,2,4,6,7,10,11,8,12]
[3,1,7,6,2,4,5,10,9,12,11,8]=>[3,6,1,2,4,7,5,11,10,9,12,8]
[3,1,7,6,2,4,5,12,11,9,10,8]=>[3,6,1,2,4,7,5,10,11,9,12,8]
[3,1,7,6,2,4,9,5,8,12,11,10]=>[3,6,1,2,7,9,5,4,8,11,12,10]
[3,1,7,6,2,4,9,5,11,8,10,12]=>[3,6,1,2,7,9,5,11,4,8,10,12]
[3,1,7,6,2,4,11,10,5,8,9,12]=>[3,6,1,2,7,10,5,4,8,11,9,12]
[3,1,9,6,2,8,4,5,7,12,11,10]=>[3,6,1,9,2,8,5,4,7,11,12,10]
[3,1,9,6,2,8,4,5,11,7,10,12]=>[3,6,1,9,2,8,11,4,5,7,10,12]
[3,1,11,6,2,8,4,10,5,7,9,12]=>[3,6,1,11,8,10,2,4,7,5,9,12]
[3,1,11,6,2,10,9,4,5,7,8,12]=>[3,6,1,11,2,9,5,7,10,4,8,12]
[3,1,9,8,7,2,4,5,6,12,11,10]=>[3,7,1,2,4,5,8,9,6,11,12,10]
[3,1,9,8,7,2,4,5,11,6,10,12]=>[3,7,1,2,4,8,9,11,5,6,10,12]
[3,1,11,8,7,2,4,10,5,6,9,12]=>[3,7,1,2,8,5,11,10,6,4,9,12]
[3,1,11,10,7,2,9,4,5,6,8,12]=>[3,7,1,10,2,5,9,6,4,11,8,12]
[3,1,11,10,9,8,2,4,5,6,7,12]=>[3,8,1,2,4,5,6,9,10,11,7,12]
[5,4,1,2,3,8,7,10,9,12,11,6]=>[4,1,2,5,3,11,8,7,10,9,12,6]
[5,4,1,2,3,8,7,12,11,9,10,6]=>[4,1,2,5,3,10,8,7,11,9,12,6]
[5,4,1,2,3,10,9,7,8,12,11,6]=>[4,1,2,5,3,11,9,7,10,8,12,6]
[5,4,1,2,3,12,9,7,11,8,10,6]=>[4,1,2,5,3,10,9,12,11,7,8,6]
[5,4,1,2,3,12,11,10,7,8,9,6]=>[4,1,2,5,3,9,10,7,8,11,12,6]
[5,4,1,2,7,3,6,10,9,12,11,8]=>[4,1,5,7,3,2,6,11,10,9,12,8]
[5,4,1,2,7,3,6,12,11,9,10,8]=>[4,1,5,7,3,2,6,10,11,9,12,8]
[5,4,1,2,7,3,9,6,8,12,11,10]=>[4,1,5,7,3,9,2,6,8,11,12,10]
[5,4,1,2,7,3,9,6,11,8,10,12]=>[4,1,5,7,3,9,2,11,6,8,10,12]
[5,4,1,2,7,3,11,10,6,8,9,12]=>[4,1,5,7,3,10,2,6,8,11,9,12]
[5,4,1,2,9,8,3,6,7,12,11,10]=>[4,1,5,8,3,2,6,9,7,11,12,10]
[5,4,1,2,9,8,3,6,11,7,10,12]=>[4,1,5,8,3,2,9,11,7,6,10,12]
[5,4,1,2,11,8,3,10,6,7,9,12]=>[4,1,5,8,3,11,2,10,7,6,9,12]
[5,4,1,2,11,10,9,3,6,7,8,12]=>[4,1,5,9,3,2,6,7,10,11,8,12]
[7,4,1,6,2,3,5,10,9,12,11,8]=>[4,7,1,6,3,2,5,11,10,9,12,8]
[7,4,1,6,2,3,5,12,11,9,10,8]=>[4,7,1,6,3,2,5,10,11,9,12,8]
[7,4,1,6,2,3,9,5,8,12,11,10]=>[4,7,1,6,9,2,3,5,8,11,12,10]
[7,4,1,6,2,3,9,5,11,8,10,12]=>[4,7,1,6,9,2,3,11,5,8,10,12]
[7,4,1,6,2,3,11,10,5,8,9,12]=>[4,7,1,6,10,2,3,5,8,11,9,12]
[9,4,1,6,2,8,3,5,7,12,11,10]=>[4,9,6,8,1,2,5,3,7,11,12,10]
[9,4,1,6,2,8,3,5,11,7,10,12]=>[4,9,6,8,1,2,11,3,5,7,10,12]
[11,4,1,6,2,8,3,10,5,7,9,12]=>[4,11,6,8,10,2,5,3,7,1,9,12]
[11,4,1,6,2,10,9,3,5,7,8,12]=>[4,11,6,9,1,2,5,7,10,3,8,12]
[9,4,1,8,7,2,3,5,6,12,11,10]=>[4,9,1,7,3,5,8,2,6,11,12,10]
[9,4,1,8,7,2,3,5,11,6,10,12]=>[4,9,1,7,3,8,11,2,6,5,10,12]
[11,4,1,8,7,2,3,10,5,6,9,12]=>[4,11,1,7,8,3,10,2,6,5,9,12]
[11,4,1,10,7,2,9,3,5,6,8,12]=>[4,11,7,10,3,5,9,6,1,2,8,12]
[11,4,1,10,9,8,2,3,5,6,7,12]=>[4,11,1,8,3,5,6,9,10,2,7,12]
[7,6,5,1,2,3,4,10,9,12,11,8]=>[5,1,2,3,6,7,4,11,10,9,12,8]
[7,6,5,1,2,3,4,12,11,9,10,8]=>[5,1,2,3,6,7,4,10,11,9,12,8]
[7,6,5,1,2,3,9,4,8,12,11,10]=>[5,1,2,6,7,9,3,4,8,11,12,10]
[7,6,5,1,2,3,9,4,11,8,10,12]=>[5,1,2,6,7,9,3,11,4,8,10,12]
[7,6,5,1,2,3,11,10,4,8,9,12]=>[5,1,2,6,7,10,3,4,8,11,9,12]
[9,6,5,1,2,8,3,4,7,12,11,10]=>[5,1,6,3,9,8,4,2,7,11,12,10]
[9,6,5,1,2,8,3,4,11,7,10,12]=>[5,1,6,3,9,8,11,2,4,7,10,12]
[11,6,5,1,2,8,3,10,4,7,9,12]=>[5,1,6,11,8,10,3,4,7,2,9,12]
[11,6,5,1,2,10,9,3,4,7,8,12]=>[5,1,6,3,11,9,4,7,10,2,8,12]
[9,8,5,1,7,2,3,4,6,12,11,10]=>[5,8,1,3,7,4,2,9,6,11,12,10]
[9,8,5,1,7,2,3,4,11,6,10,12]=>[5,8,1,3,7,9,6,11,4,2,10,12]
[11,8,5,1,7,2,3,10,4,6,9,12]=>[5,8,2,7,11,3,1,10,6,4,9,12]
[11,10,5,1,7,2,9,3,4,6,8,12]=>[5,10,7,1,9,4,2,6,3,11,8,12]
[11,10,5,1,9,8,2,3,4,6,7,12]=>[5,10,1,3,8,4,6,9,2,11,7,12]
[9,8,7,6,1,2,3,4,5,12,11,10]=>[6,1,2,3,4,7,8,9,5,11,12,10]
[9,8,7,6,1,2,3,4,11,5,10,12]=>[6,1,2,3,7,8,9,11,5,4,10,12]
[11,8,7,6,1,2,3,10,4,5,9,12]=>[6,1,2,7,3,8,11,10,5,4,9,12]
[11,10,7,6,1,2,9,3,4,5,8,12]=>[6,1,7,3,4,10,9,5,2,11,8,12]
[11,10,9,6,1,8,2,3,4,5,7,12]=>[6,9,1,3,4,8,5,2,10,11,7,12]
[11,10,9,8,7,1,2,3,4,5,6,12]=>[7,1,2,3,4,5,8,9,10,11,6,12]
[12,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,12,10,5]
[10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,10,11,5]
[12,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,12,9,10,4]
[11,12,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,12,8,9,11,4]
[12,10,11,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,11,7,8,12,10,3]
[12,10,11,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,11,8,12,10,4]
[12,11,9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,11,9,12,3]
[6,8,7,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,7,6,8,5,4,3,2,1]
[5,7,6,9,8,4,10,3,11,2,12,1]=>[12,11,10,8,5,7,6,9,4,3,2,1]
[4,6,5,8,10,9,7,3,11,2,12,1]=>[12,11,7,4,6,5,9,8,10,3,2,1]
[5,7,6,4,8,10,9,3,11,2,12,1]=>[12,11,9,6,5,7,4,8,10,3,2,1]
[4,6,5,8,7,10,9,3,11,2,12,1]=>[12,11,9,4,6,5,8,7,10,3,2,1]
[3,5,4,8,10,9,7,11,6,2,12,1]=>[12,6,3,5,4,11,9,8,10,7,2,1]
[3,5,4,7,9,8,11,10,6,2,12,1]=>[12,6,3,5,4,10,7,9,8,11,2,1]
[4,6,5,3,7,9,11,10,8,2,12,1]=>[12,8,5,4,6,3,7,10,9,11,2,1]
[3,5,4,7,6,9,11,10,8,2,12,1]=>[12,8,3,5,4,7,6,10,9,11,2,1]
[5,7,6,4,8,3,9,11,10,2,12,1]=>[12,10,8,6,5,7,4,3,9,11,2,1]
[4,6,5,8,7,3,9,11,10,2,12,1]=>[12,10,7,4,6,5,8,3,9,11,2,1]
[3,5,4,7,9,8,6,11,10,2,12,1]=>[12,10,3,5,4,8,7,9,6,11,2,1]
[4,6,5,3,7,9,8,11,10,2,12,1]=>[12,10,5,4,6,3,7,9,8,11,2,1]
[3,5,4,7,6,9,8,11,10,2,12,1]=>[12,10,3,5,4,7,6,9,8,11,2,1]
[2,4,3,8,10,9,7,11,6,12,5,1]=>[5,2,4,3,12,11,9,8,10,7,6,1]
[2,4,3,7,9,8,11,10,6,12,5,1]=>[5,2,4,3,12,10,7,9,8,11,6,1]
[3,2,5,7,6,9,11,10,8,4,12,1]=>[12,3,2,8,5,7,6,10,9,11,4,1]
[2,4,3,7,9,8,6,10,12,11,5,1]=>[5,2,4,3,11,8,7,9,6,10,12,1]
[2,4,3,6,8,7,10,9,12,11,5,1]=>[5,2,4,3,11,6,8,7,10,9,12,1]
[3,5,4,2,6,9,11,10,8,12,7,1]=>[7,4,3,5,2,6,12,10,9,11,8,1]
[3,5,4,2,6,8,10,9,12,11,7,1]=>[7,4,3,5,2,6,11,8,10,9,12,1]
[2,4,3,6,5,9,11,10,8,12,7,1]=>[7,2,4,3,6,5,12,10,9,11,8,1]
[2,4,3,6,5,8,10,9,12,11,7,1]=>[7,2,4,3,6,5,11,8,10,9,12,1]
[4,6,5,3,7,2,8,10,12,11,9,1]=>[9,7,5,4,6,3,2,8,11,10,12,1]
[3,5,4,7,6,2,8,10,12,11,9,1]=>[9,6,3,5,4,7,2,8,11,10,12,1]
[2,4,3,6,8,7,5,10,12,11,9,1]=>[9,2,4,3,7,6,8,5,11,10,12,1]
[3,5,4,2,6,8,7,10,12,11,9,1]=>[9,4,3,5,2,6,8,7,11,10,12,1]
[2,4,3,6,5,8,7,10,12,11,9,1]=>[9,2,4,3,6,5,8,7,11,10,12,1]
[5,7,6,4,8,3,9,2,10,12,11,1]=>[11,9,8,6,5,7,4,3,2,10,12,1]
[4,6,5,8,7,3,9,2,10,12,11,1]=>[11,9,7,4,6,5,8,3,2,10,12,1]
[3,5,4,7,9,8,6,2,10,12,11,1]=>[11,6,3,5,4,8,7,9,2,10,12,1]
[4,6,5,3,7,9,8,2,10,12,11,1]=>[11,8,5,4,6,3,7,9,2,10,12,1]
[3,5,4,7,6,9,8,2,10,12,11,1]=>[11,8,3,5,4,7,6,9,2,10,12,1]
[2,4,3,7,9,8,6,10,5,12,11,1]=>[11,2,4,3,10,8,7,9,6,5,12,1]
[2,4,3,6,8,7,10,9,5,12,11,1]=>[11,2,4,3,9,6,8,7,10,5,12,1]
[3,5,4,2,6,8,10,9,7,12,11,1]=>[11,4,3,5,2,6,9,8,10,7,12,1]
[2,4,3,6,5,8,10,9,7,12,11,1]=>[11,2,4,3,6,5,9,8,10,7,12,1]
[4,6,5,3,7,2,8,10,9,12,11,1]=>[11,7,5,4,6,3,2,8,10,9,12,1]
[3,5,4,7,6,2,8,10,9,12,11,1]=>[11,6,3,5,4,7,2,8,10,9,12,1]
[2,4,3,6,8,7,5,10,9,12,11,1]=>[11,2,4,3,7,6,8,5,10,9,12,1]
[3,5,4,2,6,8,7,10,9,12,11,1]=>[11,4,3,5,2,6,8,7,10,9,12,1]
[2,4,3,6,5,8,7,10,9,12,11,1]=>[11,2,4,3,6,5,8,7,10,9,12,1]
[2,1,7,9,8,6,10,5,11,4,12,3]=>[2,1,12,11,10,8,7,9,6,5,4,3]
[2,1,6,8,7,10,9,5,11,4,12,3]=>[2,1,12,11,9,6,8,7,10,5,4,3]
[2,1,5,7,6,9,11,10,8,4,12,3]=>[2,1,12,8,5,7,6,10,9,11,4,3]
[2,1,6,8,7,5,9,11,10,4,12,3]=>[2,1,12,10,7,6,8,5,9,11,4,3]
[2,1,5,7,6,9,8,11,10,4,12,3]=>[2,1,12,10,5,7,6,9,8,11,4,3]
[2,1,4,6,5,9,11,10,8,12,7,3]=>[2,1,7,4,6,5,12,10,9,11,8,3]
[2,1,4,6,5,8,10,9,12,11,7,3]=>[2,1,7,4,6,5,11,8,10,9,12,3]
[2,1,5,7,6,4,8,10,12,11,9,3]=>[2,1,9,6,5,7,4,8,11,10,12,3]
[2,1,4,6,5,8,7,10,12,11,9,3]=>[2,1,9,4,6,5,8,7,11,10,12,3]
[2,1,6,8,7,5,9,4,10,12,11,3]=>[2,1,11,9,7,6,8,5,4,10,12,3]
[2,1,5,7,6,9,8,4,10,12,11,3]=>[2,1,11,8,5,7,6,9,4,10,12,3]
[2,1,4,6,5,8,10,9,7,12,11,3]=>[2,1,11,4,6,5,9,8,10,7,12,3]
[2,1,5,7,6,4,8,10,9,12,11,3]=>[2,1,11,6,5,7,4,8,10,9,12,3]
[2,1,4,6,5,8,7,10,9,12,11,3]=>[2,1,11,4,6,5,8,7,10,9,12,3]
[3,2,7,9,8,6,10,5,11,4,1,12]=>[4,3,2,11,10,8,7,9,6,5,1,12]
[3,2,6,8,7,10,9,5,11,4,1,12]=>[4,3,2,11,9,6,8,7,10,5,1,12]
[2,4,3,1,6,8,7,10,12,11,9,5]=>[3,2,4,1,9,6,8,7,11,10,12,5]
[3,2,6,8,7,5,9,11,10,4,1,12]=>[4,3,2,10,7,6,8,5,9,11,1,12]
[3,2,5,7,6,9,8,11,10,4,1,12]=>[4,3,2,10,5,7,6,9,8,11,1,12]
[2,1,6,8,7,5,9,4,10,3,12,11]=>[2,1,10,9,7,6,8,5,4,3,12,11]
[2,1,5,7,6,9,8,4,10,3,12,11]=>[2,1,10,8,5,7,6,9,4,3,12,11]
[2,1,4,3,6,8,7,10,12,11,9,5]=>[2,1,4,3,9,6,8,7,11,10,12,5]
[2,1,5,7,6,4,8,10,9,3,12,11]=>[2,1,9,6,5,7,4,8,10,3,12,11]
[2,1,4,6,5,8,7,10,9,3,12,11]=>[2,1,9,4,6,5,8,7,10,3,12,11]
[4,3,7,9,8,6,10,5,2,11,1,12]=>[11,5,4,3,10,8,7,9,6,2,1,12]
[4,3,6,8,7,10,9,5,2,11,1,12]=>[11,5,4,3,9,6,8,7,10,2,1,12]
[3,2,6,8,7,5,9,4,11,10,1,12]=>[10,3,2,9,7,6,8,5,4,11,1,12]
[3,2,5,7,6,9,8,4,11,10,1,12]=>[10,3,2,8,5,7,6,9,4,11,1,12]
[2,1,4,6,5,3,9,11,10,8,12,7]=>[2,1,5,4,6,3,12,10,9,11,8,7]
[2,1,4,6,5,3,8,10,9,12,11,7]=>[2,1,5,4,6,3,11,8,10,9,12,7]
[3,2,6,8,7,5,9,4,1,10,12,11]=>[4,3,2,9,7,6,8,5,1,10,12,11]
[3,2,5,7,6,9,8,4,1,10,12,11]=>[4,3,2,8,5,7,6,9,1,10,12,11]
[2,1,5,7,6,4,8,3,10,9,12,11]=>[2,1,8,6,5,7,4,3,10,9,12,11]
[2,1,4,6,5,8,7,3,10,9,12,11]=>[2,1,7,4,6,5,8,3,10,9,12,11]
[5,4,7,9,8,6,3,10,2,11,1,12]=>[11,10,6,5,4,8,7,9,3,2,1,12]
[4,3,6,8,7,5,10,9,2,11,1,12]=>[11,9,4,3,7,6,8,5,10,2,1,12]
[3,2,5,7,6,4,9,11,10,8,1,12]=>[8,3,2,6,5,7,4,10,9,11,1,12]
[4,3,6,8,7,5,2,9,11,10,1,12]=>[10,5,4,3,7,6,8,2,9,11,1,12]
[3,2,5,7,6,4,9,8,11,10,1,12]=>[10,3,2,6,5,7,4,9,8,11,1,12]
[2,1,5,7,6,4,8,3,10,12,11,9]=>[2,1,8,6,5,7,4,3,11,10,12,9]
[2,1,4,6,5,8,7,3,10,12,11,9]=>[2,1,7,4,6,5,8,3,11,10,12,9]
[3,2,5,7,6,4,1,8,10,12,11,9]=>[4,3,2,6,5,7,1,8,11,10,12,9]
[4,3,6,8,7,5,2,9,1,10,12,11]=>[9,5,4,3,7,6,8,2,1,10,12,11]
[3,2,5,7,6,4,9,8,1,10,12,11]=>[8,3,2,6,5,7,4,9,1,10,12,11]
[3,2,5,7,6,4,1,8,10,9,12,11]=>[4,3,2,6,5,7,1,8,10,9,12,11]
[6,5,8,7,4,9,3,10,2,11,1,12]=>[11,10,9,7,6,5,8,4,3,2,1,12]
[5,4,7,6,9,8,3,10,2,11,1,12]=>[11,10,8,5,4,7,6,9,3,2,1,12]
[3,5,4,8,10,9,7,6,2,11,1,12]=>[11,6,3,5,4,7,9,8,10,2,1,12]
[5,4,7,6,3,8,10,9,2,11,1,12]=>[11,9,6,5,4,7,3,8,10,2,1,12]
[4,3,6,5,8,7,10,9,2,11,1,12]=>[11,9,4,3,6,5,8,7,10,2,1,12]
[2,4,3,8,10,9,7,11,6,5,1,12]=>[5,2,4,3,6,11,9,8,10,7,1,12]
[2,4,3,7,9,8,11,10,6,5,1,12]=>[5,2,4,3,6,10,7,9,8,11,1,12]
[3,5,4,2,6,9,11,10,8,7,1,12]=>[7,4,3,5,2,6,8,10,9,11,1,12]
[2,4,3,6,5,9,11,10,8,7,1,12]=>[7,2,4,3,6,5,8,10,9,11,1,12]
[5,4,7,6,3,8,2,9,11,10,1,12]=>[10,8,6,5,4,7,3,2,9,11,1,12]
[4,3,6,5,8,7,2,9,11,10,1,12]=>[10,7,4,3,6,5,8,2,9,11,1,12]
[2,4,3,7,9,8,6,5,11,10,1,12]=>[10,2,4,3,6,8,7,9,5,11,1,12]
[4,3,6,5,2,7,9,8,11,10,1,12]=>[10,5,4,3,6,2,7,9,8,11,1,12]
[1,3,2,8,10,9,7,11,6,12,5,4]=>[1,3,2,5,12,11,9,8,10,7,6,4]
[1,3,2,7,9,8,11,10,6,12,5,4]=>[1,3,2,5,12,10,7,9,8,11,6,4]
[2,1,4,6,5,9,11,10,8,7,3,12]=>[2,1,7,4,6,5,8,10,9,11,3,12]
[1,3,2,7,9,8,6,10,12,11,5,4]=>[1,3,2,5,11,8,7,9,6,10,12,4]
[1,3,2,6,8,7,10,9,12,11,5,4]=>[1,3,2,5,11,6,8,7,10,9,12,4]
[2,4,3,1,5,9,11,10,8,12,7,6]=>[3,2,4,1,5,7,12,10,9,11,8,6]
[2,4,3,1,5,8,10,9,12,11,7,6]=>[3,2,4,1,5,7,11,8,10,9,12,6]
[1,3,2,5,4,9,11,10,8,12,7,6]=>[1,3,2,5,4,7,12,10,9,11,8,6]
[1,3,2,5,4,8,10,9,12,11,7,6]=>[1,3,2,5,4,7,11,8,10,9,12,6]
[3,5,4,2,6,1,7,10,12,11,9,8]=>[6,4,3,5,2,1,7,9,11,10,12,8]
[2,4,3,6,5,1,7,10,12,11,9,8]=>[5,2,4,3,6,1,7,9,11,10,12,8]
[1,3,2,6,8,7,5,4,10,12,11,9]=>[1,3,2,5,7,6,8,4,11,10,12,9]
[2,4,3,1,5,7,6,10,12,11,9,8]=>[3,2,4,1,5,7,6,9,11,10,12,8]
[1,3,2,5,4,7,6,10,12,11,9,8]=>[1,3,2,5,4,7,6,9,11,10,12,8]
[5,4,7,6,3,8,2,9,1,10,12,11]=>[9,8,6,5,4,7,3,2,1,10,12,11]
[4,3,6,5,8,7,2,9,1,10,12,11]=>[9,7,4,3,6,5,8,2,1,10,12,11]
[2,4,3,7,9,8,6,5,1,10,12,11]=>[5,2,4,3,6,8,7,9,1,10,12,11]
[4,3,6,5,2,7,9,8,1,10,12,11]=>[8,5,4,3,6,2,7,9,1,10,12,11]
[3,2,5,4,7,6,9,8,1,10,12,11]=>[8,3,2,5,4,7,6,9,1,10,12,11]
[1,3,2,7,9,8,6,10,5,4,12,11]=>[1,3,2,5,10,8,7,9,6,4,12,11]
[1,3,2,6,8,7,10,9,5,4,12,11]=>[1,3,2,5,9,6,8,7,10,4,12,11]
[2,4,3,1,5,8,10,9,7,6,12,11]=>[3,2,4,1,5,7,9,8,10,6,12,11]
[1,3,2,5,4,8,10,9,7,6,12,11]=>[1,3,2,5,4,7,9,8,10,6,12,11]
[4,3,6,5,2,7,1,8,10,9,12,11]=>[7,5,4,3,6,2,1,8,10,9,12,11]
[3,2,5,4,7,6,1,8,10,9,12,11]=>[6,3,2,5,4,7,1,8,10,9,12,11]
[1,3,2,6,8,7,5,4,10,9,12,11]=>[1,3,2,5,7,6,8,4,10,9,12,11]
[3,2,5,4,1,6,8,7,10,9,12,11]=>[4,3,2,5,1,6,8,7,10,9,12,11]
[12,2,3,4,5,6,7,8,9,10,1,11]=>[10,12,2,3,4,5,6,7,8,9,1,11]
[3,12,1,4,5,6,7,8,9,10,11,2]=>[12,11,3,1,4,5,6,7,8,9,10,2]
[2,1,4,3,6,5,8,7,12,10,11,9]=>[2,1,4,3,6,5,8,7,11,12,10,9]
[2,1,4,3,6,5,10,8,9,7,12,11]=>[2,1,4,3,6,5,9,10,8,7,12,11]
[2,1,4,3,6,5,12,10,11,8,9,7]=>[2,1,4,3,6,5,9,11,8,12,10,7]
[2,1,4,3,6,5,12,9,11,8,10,7]=>[2,1,4,3,6,5,10,11,12,8,9,7]
[2,1,4,3,8,6,7,5,10,9,12,11]=>[2,1,4,3,7,8,6,5,10,9,12,11]
[2,1,4,3,8,6,7,5,12,10,11,9]=>[2,1,4,3,7,8,6,5,11,12,10,9]
[2,1,4,3,10,8,9,6,7,5,12,11]=>[2,1,4,3,7,9,6,10,8,5,12,11]
[2,1,4,3,12,10,11,8,9,6,7,5]=>[2,1,4,3,7,9,6,11,8,12,10,5]
[2,1,4,3,12,9,11,8,10,6,7,5]=>[2,1,4,3,7,10,6,11,12,8,9,5]
[2,1,4,3,10,7,9,6,8,5,12,11]=>[2,1,4,3,8,9,10,6,7,5,12,11]
[2,1,4,3,12,10,11,7,9,6,8,5]=>[2,1,4,3,8,9,11,6,7,12,10,5]
[2,1,4,3,12,9,11,7,10,6,8,5]=>[2,1,4,3,8,10,11,6,12,7,9,5]
[2,1,4,3,12,8,11,7,10,6,9,5]=>[2,1,4,3,9,10,11,12,6,7,8,5]
[2,1,6,4,5,3,8,7,10,9,12,11]=>[2,1,5,6,4,3,8,7,10,9,12,11]
[2,1,6,4,5,3,8,7,12,10,11,9]=>[2,1,5,6,4,3,8,7,11,12,10,9]
[2,1,6,4,5,3,10,8,9,7,12,11]=>[2,1,5,6,4,3,9,10,8,7,12,11]
[2,1,6,4,5,3,12,10,11,8,9,7]=>[2,1,5,6,4,3,9,11,8,12,10,7]
[2,1,6,4,5,3,12,9,11,8,10,7]=>[2,1,5,6,4,3,10,11,12,8,9,7]
[2,1,8,6,7,4,5,3,10,9,12,11]=>[2,1,5,7,4,8,6,3,10,9,12,11]
[2,1,8,6,7,4,5,3,12,10,11,9]=>[2,1,5,7,4,8,6,3,11,12,10,9]
[2,1,10,8,9,6,7,4,5,3,12,11]=>[2,1,5,7,4,9,6,10,8,3,12,11]
[2,1,12,10,11,8,9,6,7,4,5,3]=>[2,1,5,7,4,9,6,11,8,12,10,3]
[2,1,12,9,11,8,10,6,7,4,5,3]=>[2,1,5,7,4,10,6,11,12,8,9,3]
[2,1,10,7,9,6,8,4,5,3,12,11]=>[2,1,5,8,4,9,10,6,7,3,12,11]
[2,1,12,10,11,7,9,6,8,4,5,3]=>[2,1,5,8,4,9,11,6,7,12,10,3]
[2,1,12,9,11,7,10,6,8,4,5,3]=>[2,1,5,8,4,10,11,6,12,7,9,3]
[2,1,12,8,11,7,10,6,9,4,5,3]=>[2,1,5,9,4,10,11,12,6,7,8,3]
[2,1,8,5,7,4,6,3,10,9,12,11]=>[2,1,6,7,8,4,5,3,10,9,12,11]
[2,1,8,5,7,4,6,3,12,10,11,9]=>[2,1,6,7,8,4,5,3,11,12,10,9]
[2,1,10,8,9,5,7,4,6,3,12,11]=>[2,1,6,7,9,4,5,10,8,3,12,11]
[2,1,12,10,11,8,9,5,7,4,6,3]=>[2,1,6,7,9,4,5,11,8,12,10,3]
[2,1,12,9,11,8,10,5,7,4,6,3]=>[2,1,6,7,10,4,5,11,12,8,9,3]
[2,1,10,7,9,5,8,4,6,3,12,11]=>[2,1,6,8,9,4,10,5,7,3,12,11]
[2,1,12,10,11,7,9,5,8,4,6,3]=>[2,1,6,8,9,4,11,5,7,12,10,3]
[2,1,12,9,11,7,10,5,8,4,6,3]=>[2,1,6,8,10,4,11,5,12,7,9,3]
[2,1,12,8,11,7,10,5,9,4,6,3]=>[2,1,6,9,10,4,11,12,5,7,8,3]
[2,1,10,6,9,5,8,4,7,3,12,11]=>[2,1,7,8,9,10,4,5,6,3,12,11]
[2,1,12,10,11,6,9,5,8,4,7,3]=>[2,1,7,8,9,11,4,5,6,12,10,3]
[2,1,12,9,11,6,10,5,8,4,7,3]=>[2,1,7,8,10,11,4,5,12,6,9,3]
[2,1,12,8,11,6,10,5,9,4,7,3]=>[2,1,7,9,10,11,4,12,5,6,8,3]
[2,1,12,7,11,6,10,5,9,4,8,3]=>[2,1,8,9,10,11,12,4,5,6,7,3]
[4,2,3,1,6,5,8,7,10,9,12,11]=>[3,4,2,1,6,5,8,7,10,9,12,11]
[4,2,3,1,6,5,8,7,12,10,11,9]=>[3,4,2,1,6,5,8,7,11,12,10,9]
[4,2,3,1,6,5,10,8,9,7,12,11]=>[3,4,2,1,6,5,9,10,8,7,12,11]
[4,2,3,1,6,5,12,10,11,8,9,7]=>[3,4,2,1,6,5,9,11,8,12,10,7]
[4,2,3,1,6,5,12,9,11,8,10,7]=>[3,4,2,1,6,5,10,11,12,8,9,7]
[4,2,3,1,8,6,7,5,10,9,12,11]=>[3,4,2,1,7,8,6,5,10,9,12,11]
[4,2,3,1,8,6,7,5,12,10,11,9]=>[3,4,2,1,7,8,6,5,11,12,10,9]
[4,2,3,1,10,8,9,6,7,5,12,11]=>[3,4,2,1,7,9,6,10,8,5,12,11]
[4,2,3,1,12,10,11,8,9,6,7,5]=>[3,4,2,1,7,9,6,11,8,12,10,5]
[4,2,3,1,12,9,11,8,10,6,7,5]=>[3,4,2,1,7,10,6,11,12,8,9,5]
[4,2,3,1,10,7,9,6,8,5,12,11]=>[3,4,2,1,8,9,10,6,7,5,12,11]
[4,2,3,1,12,10,11,7,9,6,8,5]=>[3,4,2,1,8,9,11,6,7,12,10,5]
[4,2,3,1,12,9,11,7,10,6,8,5]=>[3,4,2,1,8,10,11,6,12,7,9,5]
[4,2,3,1,12,8,11,7,10,6,9,5]=>[3,4,2,1,9,10,11,12,6,7,8,5]
[6,4,5,2,3,1,8,7,10,9,12,11]=>[3,5,2,6,4,1,8,7,10,9,12,11]
[6,4,5,2,3,1,8,7,12,10,11,9]=>[3,5,2,6,4,1,8,7,11,12,10,9]
[6,4,5,2,3,1,10,8,9,7,12,11]=>[3,5,2,6,4,1,9,10,8,7,12,11]
[6,4,5,2,3,1,12,10,11,8,9,7]=>[3,5,2,6,4,1,9,11,8,12,10,7]
[6,4,5,2,3,1,12,9,11,8,10,7]=>[3,5,2,6,4,1,10,11,12,8,9,7]
[8,6,7,4,5,2,3,1,10,9,12,11]=>[3,5,2,7,4,8,6,1,10,9,12,11]
[8,6,7,4,5,2,3,1,12,10,11,9]=>[3,5,2,7,4,8,6,1,11,12,10,9]
[10,8,9,6,7,4,5,2,3,1,12,11]=>[3,5,2,7,4,9,6,10,8,1,12,11]
[12,10,11,8,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,11,8,12,10,1]
[12,9,11,8,10,6,7,4,5,2,3,1]=>[3,5,2,7,4,10,6,11,12,8,9,1]
[10,7,9,6,8,4,5,2,3,1,12,11]=>[3,5,2,8,4,9,10,6,7,1,12,11]
[12,10,11,7,9,6,8,4,5,2,3,1]=>[3,5,2,8,4,9,11,6,7,12,10,1]
[12,9,11,7,10,6,8,4,5,2,3,1]=>[3,5,2,8,4,10,11,6,12,7,9,1]
[12,8,11,7,10,6,9,4,5,2,3,1]=>[3,5,2,9,4,10,11,12,6,7,8,1]
[8,5,7,4,6,2,3,1,10,9,12,11]=>[3,6,2,7,8,4,5,1,10,9,12,11]
[8,5,7,4,6,2,3,1,12,10,11,9]=>[3,6,2,7,8,4,5,1,11,12,10,9]
[10,8,9,5,7,4,6,2,3,1,12,11]=>[3,6,2,7,9,4,5,10,8,1,12,11]
[12,10,11,8,9,5,7,4,6,2,3,1]=>[3,6,2,7,9,4,5,11,8,12,10,1]
[12,9,11,8,10,5,7,4,6,2,3,1]=>[3,6,2,7,10,4,5,11,12,8,9,1]
[10,7,9,5,8,4,6,2,3,1,12,11]=>[3,6,2,8,9,4,10,5,7,1,12,11]
[12,10,11,7,9,5,8,4,6,2,3,1]=>[3,6,2,8,9,4,11,5,7,12,10,1]
[12,9,11,7,10,5,8,4,6,2,3,1]=>[3,6,2,8,10,4,11,5,12,7,9,1]
[12,8,11,7,10,5,9,4,6,2,3,1]=>[3,6,2,9,10,4,11,12,5,7,8,1]
[10,6,9,5,8,4,7,2,3,1,12,11]=>[3,7,2,8,9,10,4,5,6,1,12,11]
[12,10,11,6,9,5,8,4,7,2,3,1]=>[3,7,2,8,9,11,4,5,6,12,10,1]
[12,9,11,6,10,5,8,4,7,2,3,1]=>[3,7,2,8,10,11,4,5,12,6,9,1]
[12,8,11,6,10,5,9,4,7,2,3,1]=>[3,7,2,9,10,11,4,12,5,6,8,1]
[12,7,11,6,10,5,9,4,8,2,3,1]=>[3,8,2,9,10,11,12,4,5,6,7,1]
[6,3,5,2,4,1,8,7,10,9,12,11]=>[4,5,6,2,3,1,8,7,10,9,12,11]
[6,3,5,2,4,1,8,7,12,10,11,9]=>[4,5,6,2,3,1,8,7,11,12,10,9]
[6,3,5,2,4,1,10,8,9,7,12,11]=>[4,5,6,2,3,1,9,10,8,7,12,11]
[6,3,5,2,4,1,12,10,11,8,9,7]=>[4,5,6,2,3,1,9,11,8,12,10,7]
[6,3,5,2,4,1,12,9,11,8,10,7]=>[4,5,6,2,3,1,10,11,12,8,9,7]
[8,6,7,3,5,2,4,1,10,9,12,11]=>[4,5,7,2,3,8,6,1,10,9,12,11]
[8,6,7,3,5,2,4,1,12,10,11,9]=>[4,5,7,2,3,8,6,1,11,12,10,9]
[10,8,9,6,7,3,5,2,4,1,12,11]=>[4,5,7,2,3,9,6,10,8,1,12,11]
[12,10,11,8,9,6,7,3,5,2,4,1]=>[4,5,7,2,3,9,6,11,8,12,10,1]
[12,9,11,8,10,6,7,3,5,2,4,1]=>[4,5,7,2,3,10,6,11,12,8,9,1]
[10,7,9,6,8,3,5,2,4,1,12,11]=>[4,5,8,2,3,9,10,6,7,1,12,11]
[12,10,11,7,9,6,8,3,5,2,4,1]=>[4,5,8,2,3,9,11,6,7,12,10,1]
[12,9,11,7,10,6,8,3,5,2,4,1]=>[4,5,8,2,3,10,11,6,12,7,9,1]
[12,8,11,7,10,6,9,3,5,2,4,1]=>[4,5,9,2,3,10,11,12,6,7,8,1]
[8,5,7,3,6,2,4,1,10,9,12,11]=>[4,6,7,2,8,3,5,1,10,9,12,11]
[8,5,7,3,6,2,4,1,12,10,11,9]=>[4,6,7,2,8,3,5,1,11,12,10,9]
[10,8,9,5,7,3,6,2,4,1,12,11]=>[4,6,7,2,9,3,5,10,8,1,12,11]
[12,10,11,8,9,5,7,3,6,2,4,1]=>[4,6,7,2,9,3,5,11,8,12,10,1]
[12,9,11,8,10,5,7,3,6,2,4,1]=>[4,6,7,2,10,3,5,11,12,8,9,1]
[10,7,9,5,8,3,6,2,4,1,12,11]=>[4,6,8,2,9,3,10,5,7,1,12,11]
[12,10,11,7,9,5,8,3,6,2,4,1]=>[4,6,8,2,9,3,11,5,7,12,10,1]
[12,9,11,7,10,5,8,3,6,2,4,1]=>[4,6,8,2,10,3,11,5,12,7,9,1]
[12,8,11,7,10,5,9,3,6,2,4,1]=>[4,6,9,2,10,3,11,12,5,7,8,1]
[10,6,9,5,8,3,7,2,4,1,12,11]=>[4,7,8,2,9,10,3,5,6,1,12,11]
[12,10,11,6,9,5,8,3,7,2,4,1]=>[4,7,8,2,9,11,3,5,6,12,10,1]
[12,9,11,6,10,5,8,3,7,2,4,1]=>[4,7,8,2,10,11,3,5,12,6,9,1]
[12,8,11,6,10,5,9,3,7,2,4,1]=>[4,7,9,2,10,11,3,12,5,6,8,1]
[12,7,11,6,10,5,9,3,8,2,4,1]=>[4,8,9,2,10,11,12,3,5,6,7,1]
[8,4,7,3,6,2,5,1,10,9,12,11]=>[5,6,7,8,2,3,4,1,10,9,12,11]
[8,4,7,3,6,2,5,1,12,10,11,9]=>[5,6,7,8,2,3,4,1,11,12,10,9]
[10,8,9,4,7,3,6,2,5,1,12,11]=>[5,6,7,9,2,3,4,10,8,1,12,11]
[12,10,11,8,9,4,7,3,6,2,5,1]=>[5,6,7,9,2,3,4,11,8,12,10,1]
[12,9,11,8,10,4,7,3,6,2,5,1]=>[5,6,7,10,2,3,4,11,12,8,9,1]
[10,7,9,4,8,3,6,2,5,1,12,11]=>[5,6,8,9,2,3,10,4,7,1,12,11]
[12,10,11,7,9,4,8,3,6,2,5,1]=>[5,6,8,9,2,3,11,4,7,12,10,1]
[12,9,11,7,10,4,8,3,6,2,5,1]=>[5,6,8,10,2,3,11,4,12,7,9,1]
[12,8,11,7,10,4,9,3,6,2,5,1]=>[5,6,9,10,2,3,11,12,4,7,8,1]
[10,6,9,4,8,3,7,2,5,1,12,11]=>[5,7,8,9,2,10,3,4,6,1,12,11]
[12,10,11,6,9,4,8,3,7,2,5,1]=>[5,7,8,9,2,11,3,4,6,12,10,1]
[12,9,11,6,10,4,8,3,7,2,5,1]=>[5,7,8,10,2,11,3,4,12,6,9,1]
[12,8,11,6,10,4,9,3,7,2,5,1]=>[5,7,9,10,2,11,3,12,4,6,8,1]
[12,7,11,6,10,4,9,3,8,2,5,1]=>[5,8,9,10,2,11,12,3,4,6,7,1]
[10,5,9,4,8,3,7,2,6,1,12,11]=>[6,7,8,9,10,2,3,4,5,1,12,11]
[12,10,11,5,9,4,8,3,7,2,6,1]=>[6,7,8,9,11,2,3,4,5,12,10,1]
[12,9,11,5,10,4,8,3,7,2,6,1]=>[6,7,8,10,11,2,3,4,12,5,9,1]
[12,8,11,5,10,4,9,3,7,2,6,1]=>[6,7,9,10,11,2,3,12,4,5,8,1]
[12,7,11,5,10,4,9,3,8,2,6,1]=>[6,8,9,10,11,2,12,3,4,5,7,1]
[12,6,11,5,10,4,9,3,8,2,7,1]=>[7,8,9,10,11,12,2,3,4,5,6,1]
[12,3,4,5,6,7,8,9,10,11,1,2]=>[11,1,12,3,4,5,6,7,8,9,10,2]
[2,1,4,3,6,5,8,7,11,10,12,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]
[2,1,4,3,6,5,9,8,10,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]
[2,1,4,3,6,5,9,8,11,10,12,7]=>[2,1,4,3,6,5,12,9,8,11,10,7]
[2,1,4,3,6,5,10,9,11,8,12,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]
[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]
[2,1,4,3,7,6,8,5,11,10,12,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]
[2,1,4,3,7,6,9,8,10,5,12,11]=>[2,1,4,3,10,7,6,9,8,5,12,11]
[2,1,4,3,7,6,9,8,11,10,12,5]=>[2,1,4,3,12,7,6,9,8,11,10,5]
[2,1,4,3,7,6,10,9,11,8,12,5]=>[2,1,4,3,12,7,6,11,10,9,8,5]
[2,1,4,3,8,7,9,6,10,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]
[2,1,4,3,8,7,9,6,11,10,12,5]=>[2,1,4,3,12,9,8,7,6,11,10,5]
[2,1,4,3,8,7,10,9,11,6,12,5]=>[2,1,4,3,12,11,8,7,10,9,6,5]
[2,1,4,3,9,8,10,7,11,6,12,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]
[2,1,5,4,6,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]
[2,1,5,4,6,3,8,7,11,10,12,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]
[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]
[2,1,5,4,6,3,9,8,11,10,12,7]=>[2,1,6,5,4,3,12,9,8,11,10,7]
[2,1,5,4,6,3,10,9,11,8,12,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]
[2,1,5,4,7,6,8,3,10,9,12,11]=>[2,1,8,5,4,7,6,3,10,9,12,11]
[2,1,5,4,7,6,8,3,11,10,12,9]=>[2,1,8,5,4,7,6,3,12,11,10,9]
[2,1,5,4,7,6,9,8,10,3,12,11]=>[2,1,10,5,4,7,6,9,8,3,12,11]
[2,1,5,4,7,6,9,8,11,10,12,3]=>[2,1,12,5,4,7,6,9,8,11,10,3]
[2,1,5,4,7,6,10,9,11,8,12,3]=>[2,1,12,5,4,7,6,11,10,9,8,3]
[2,1,5,4,8,7,9,6,10,3,12,11]=>[2,1,10,5,4,9,8,7,6,3,12,11]
[2,1,5,4,8,7,9,6,11,10,12,3]=>[2,1,12,5,4,9,8,7,6,11,10,3]
[2,1,5,4,8,7,10,9,11,6,12,3]=>[2,1,12,5,4,11,8,7,10,9,6,3]
[2,1,5,4,9,8,10,7,11,6,12,3]=>[2,1,12,5,4,11,10,9,8,7,6,3]
[2,1,6,5,7,4,8,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]
[2,1,6,5,7,4,8,3,11,10,12,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]
[2,1,6,5,7,4,9,8,10,3,12,11]=>[2,1,10,7,6,5,4,9,8,3,12,11]
[2,1,6,5,7,4,9,8,11,10,12,3]=>[2,1,12,7,6,5,4,9,8,11,10,3]
[2,1,6,5,7,4,10,9,11,8,12,3]=>[2,1,12,7,6,5,4,11,10,9,8,3]
[2,1,6,5,8,7,9,4,10,3,12,11]=>[2,1,10,9,6,5,8,7,4,3,12,11]
[2,1,6,5,8,7,9,4,11,10,12,3]=>[2,1,12,9,6,5,8,7,4,11,10,3]
[2,1,6,5,8,7,10,9,11,4,12,3]=>[2,1,12,11,6,5,8,7,10,9,4,3]
[2,1,6,5,9,8,10,7,11,4,12,3]=>[2,1,12,11,6,5,10,9,8,7,4,3]
[2,1,7,6,8,5,9,4,10,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]
[2,1,7,6,8,5,9,4,11,10,12,3]=>[2,1,12,9,8,7,6,5,4,11,10,3]
[2,1,7,6,8,5,10,9,11,4,12,3]=>[2,1,12,11,8,7,6,5,10,9,4,3]
[2,1,7,6,9,8,10,5,11,4,12,3]=>[2,1,12,11,10,7,6,9,8,5,4,3]
[2,1,8,7,9,6,10,5,11,4,12,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]
[3,2,4,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]
[3,2,4,1,6,5,8,7,11,10,12,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]
[3,2,4,1,6,5,9,8,10,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]
[3,2,4,1,6,5,9,8,11,10,12,7]=>[4,3,2,1,6,5,12,9,8,11,10,7]
[3,2,4,1,6,5,10,9,11,8,12,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]
[3,2,4,1,7,6,8,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]
[3,2,4,1,7,6,8,5,11,10,12,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]
[3,2,4,1,7,6,9,8,10,5,12,11]=>[4,3,2,1,10,7,6,9,8,5,12,11]
[3,2,4,1,7,6,9,8,11,10,12,5]=>[4,3,2,1,12,7,6,9,8,11,10,5]
[3,2,4,1,7,6,10,9,11,8,12,5]=>[4,3,2,1,12,7,6,11,10,9,8,5]
[3,2,4,1,8,7,9,6,10,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]
[3,2,4,1,8,7,9,6,11,10,12,5]=>[4,3,2,1,12,9,8,7,6,11,10,5]
[3,2,4,1,8,7,10,9,11,6,12,5]=>[4,3,2,1,12,11,8,7,10,9,6,5]
[3,2,4,1,9,8,10,7,11,6,12,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]
[3,2,5,4,6,1,8,7,10,9,12,11]=>[6,3,2,5,4,1,8,7,10,9,12,11]
[3,2,5,4,6,1,8,7,11,10,12,9]=>[6,3,2,5,4,1,8,7,12,11,10,9]
[3,2,5,4,6,1,9,8,10,7,12,11]=>[6,3,2,5,4,1,10,9,8,7,12,11]
[3,2,5,4,6,1,9,8,11,10,12,7]=>[6,3,2,5,4,1,12,9,8,11,10,7]
[3,2,5,4,6,1,10,9,11,8,12,7]=>[6,3,2,5,4,1,12,11,10,9,8,7]
[3,2,5,4,7,6,8,1,10,9,12,11]=>[8,3,2,5,4,7,6,1,10,9,12,11]
[3,2,5,4,7,6,8,1,11,10,12,9]=>[8,3,2,5,4,7,6,1,12,11,10,9]
[3,2,5,4,7,6,9,8,10,1,12,11]=>[10,3,2,5,4,7,6,9,8,1,12,11]
[3,2,5,4,7,6,9,8,11,10,12,1]=>[12,3,2,5,4,7,6,9,8,11,10,1]
[3,2,5,4,7,6,10,9,11,8,12,1]=>[12,3,2,5,4,7,6,11,10,9,8,1]
[3,2,5,4,8,7,9,6,10,1,12,11]=>[10,3,2,5,4,9,8,7,6,1,12,11]
[3,2,5,4,8,7,9,6,11,10,12,1]=>[12,3,2,5,4,9,8,7,6,11,10,1]
[3,2,5,4,8,7,10,9,11,6,12,1]=>[12,3,2,5,4,11,8,7,10,9,6,1]
[3,2,5,4,9,8,10,7,11,6,12,1]=>[12,3,2,5,4,11,10,9,8,7,6,1]
[3,2,6,5,7,4,8,1,10,9,12,11]=>[8,3,2,7,6,5,4,1,10,9,12,11]
[3,2,6,5,7,4,8,1,11,10,12,9]=>[8,3,2,7,6,5,4,1,12,11,10,9]
[3,2,6,5,7,4,9,8,10,1,12,11]=>[10,3,2,7,6,5,4,9,8,1,12,11]
[3,2,6,5,7,4,9,8,11,10,12,1]=>[12,3,2,7,6,5,4,9,8,11,10,1]
[3,2,6,5,7,4,10,9,11,8,12,1]=>[12,3,2,7,6,5,4,11,10,9,8,1]
[3,2,6,5,8,7,9,4,10,1,12,11]=>[10,3,2,9,6,5,8,7,4,1,12,11]
[3,2,6,5,8,7,9,4,11,10,12,1]=>[12,3,2,9,6,5,8,7,4,11,10,1]
[3,2,6,5,8,7,10,9,11,4,12,1]=>[12,3,2,11,6,5,8,7,10,9,4,1]
[3,2,6,5,9,8,10,7,11,4,12,1]=>[12,3,2,11,6,5,10,9,8,7,4,1]
[3,2,7,6,8,5,9,4,10,1,12,11]=>[10,3,2,9,8,7,6,5,4,1,12,11]
[3,2,7,6,8,5,9,4,11,10,12,1]=>[12,3,2,9,8,7,6,5,4,11,10,1]
[3,2,7,6,8,5,10,9,11,4,12,1]=>[12,3,2,11,8,7,6,5,10,9,4,1]
[3,2,7,6,9,8,10,5,11,4,12,1]=>[12,3,2,11,10,7,6,9,8,5,4,1]
[3,2,8,7,9,6,10,5,11,4,12,1]=>[12,3,2,11,10,9,8,7,6,5,4,1]
[4,3,5,2,6,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]
[4,3,5,2,6,1,8,7,11,10,12,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]
[4,3,5,2,6,1,9,8,10,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]
[4,3,5,2,6,1,9,8,11,10,12,7]=>[6,5,4,3,2,1,12,9,8,11,10,7]
[4,3,5,2,6,1,10,9,11,8,12,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]
[4,3,5,2,7,6,8,1,10,9,12,11]=>[8,5,4,3,2,7,6,1,10,9,12,11]
[4,3,5,2,7,6,8,1,11,10,12,9]=>[8,5,4,3,2,7,6,1,12,11,10,9]
[4,3,5,2,7,6,9,8,10,1,12,11]=>[10,5,4,3,2,7,6,9,8,1,12,11]
[4,3,5,2,7,6,9,8,11,10,12,1]=>[12,5,4,3,2,7,6,9,8,11,10,1]
[4,3,5,2,7,6,10,9,11,8,12,1]=>[12,5,4,3,2,7,6,11,10,9,8,1]
[4,3,5,2,8,7,9,6,10,1,12,11]=>[10,5,4,3,2,9,8,7,6,1,12,11]
[4,3,5,2,8,7,9,6,11,10,12,1]=>[12,5,4,3,2,9,8,7,6,11,10,1]
[4,3,5,2,8,7,10,9,11,6,12,1]=>[12,5,4,3,2,11,8,7,10,9,6,1]
[4,3,5,2,9,8,10,7,11,6,12,1]=>[12,5,4,3,2,11,10,9,8,7,6,1]
[4,3,6,5,7,2,8,1,10,9,12,11]=>[8,7,4,3,6,5,2,1,10,9,12,11]
[4,3,6,5,7,2,8,1,11,10,12,9]=>[8,7,4,3,6,5,2,1,12,11,10,9]
[4,3,6,5,7,2,9,8,10,1,12,11]=>[10,7,4,3,6,5,2,9,8,1,12,11]
[4,3,6,5,7,2,9,8,11,10,12,1]=>[12,7,4,3,6,5,2,9,8,11,10,1]
[4,3,6,5,7,2,10,9,11,8,12,1]=>[12,7,4,3,6,5,2,11,10,9,8,1]
[4,3,6,5,8,7,9,2,10,1,12,11]=>[10,9,4,3,6,5,8,7,2,1,12,11]
[4,3,6,5,8,7,9,2,11,10,12,1]=>[12,9,4,3,6,5,8,7,2,11,10,1]
[4,3,6,5,8,7,10,9,11,2,12,1]=>[12,11,4,3,6,5,8,7,10,9,2,1]
[4,3,6,5,9,8,10,7,11,2,12,1]=>[12,11,4,3,6,5,10,9,8,7,2,1]
[4,3,7,6,8,5,9,2,10,1,12,11]=>[10,9,4,3,8,7,6,5,2,1,12,11]
[4,3,7,6,8,5,9,2,11,10,12,1]=>[12,9,4,3,8,7,6,5,2,11,10,1]
[4,3,7,6,8,5,10,9,11,2,12,1]=>[12,11,4,3,8,7,6,5,10,9,2,1]
[4,3,7,6,9,8,10,5,11,2,12,1]=>[12,11,4,3,10,7,6,9,8,5,2,1]
[4,3,8,7,9,6,10,5,11,2,12,1]=>[12,11,4,3,10,9,8,7,6,5,2,1]
[5,4,6,3,7,2,8,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]
[5,4,6,3,7,2,8,1,11,10,12,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]
[5,4,6,3,7,2,9,8,10,1,12,11]=>[10,7,6,5,4,3,2,9,8,1,12,11]
[5,4,6,3,7,2,9,8,11,10,12,1]=>[12,7,6,5,4,3,2,9,8,11,10,1]
[5,4,6,3,7,2,10,9,11,8,12,1]=>[12,7,6,5,4,3,2,11,10,9,8,1]
[5,4,6,3,8,7,9,2,10,1,12,11]=>[10,9,6,5,4,3,8,7,2,1,12,11]
[5,4,6,3,8,7,9,2,11,10,12,1]=>[12,9,6,5,4,3,8,7,2,11,10,1]
[5,4,6,3,8,7,10,9,11,2,12,1]=>[12,11,6,5,4,3,8,7,10,9,2,1]
[5,4,6,3,9,8,10,7,11,2,12,1]=>[12,11,6,5,4,3,10,9,8,7,2,1]
[5,4,7,6,8,3,9,2,10,1,12,11]=>[10,9,8,5,4,7,6,3,2,1,12,11]
[5,4,7,6,8,3,9,2,11,10,12,1]=>[12,9,8,5,4,7,6,3,2,11,10,1]
[5,4,7,6,8,3,10,9,11,2,12,1]=>[12,11,8,5,4,7,6,3,10,9,2,1]
[5,4,7,6,9,8,10,3,11,2,12,1]=>[12,11,10,5,4,7,6,9,8,3,2,1]
[5,4,8,7,9,6,10,3,11,2,12,1]=>[12,11,10,5,4,9,8,7,6,3,2,1]
[6,5,7,4,8,3,9,2,10,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]
[6,5,7,4,8,3,9,2,11,10,12,1]=>[12,9,8,7,6,5,4,3,2,11,10,1]
[6,5,7,4,8,3,10,9,11,2,12,1]=>[12,11,8,7,6,5,4,3,10,9,2,1]
[6,5,7,4,9,8,10,3,11,2,12,1]=>[12,11,10,7,6,5,4,9,8,3,2,1]
[6,5,8,7,9,4,10,3,11,2,12,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]
[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]
[1,2,3,4,5,6,7,8,9,11,10,12]=>[1,2,3,4,5,6,7,8,9,11,10,12]
[1,2,3,4,5,6,7,9,8,10,11,12]=>[1,2,3,4,5,6,7,9,8,10,11,12]
[1,2,3,4,5,6,7,9,8,11,10,12]=>[1,2,3,4,5,6,7,9,8,11,10,12]
[1,2,3,4,5,6,7,10,9,12,8,11]=>[1,2,3,4,5,6,7,12,10,9,8,11]
[1,2,3,4,5,7,6,8,9,10,11,12]=>[1,2,3,4,5,7,6,8,9,10,11,12]
[1,2,3,4,5,7,6,8,9,11,10,12]=>[1,2,3,4,5,7,6,8,9,11,10,12]
[1,2,3,4,5,7,6,9,8,10,11,12]=>[1,2,3,4,5,7,6,9,8,10,11,12]
[1,2,3,4,5,7,6,9,8,11,10,12]=>[1,2,3,4,5,7,6,9,8,11,10,12]
[1,2,3,4,5,7,6,10,9,12,8,11]=>[1,2,3,4,5,7,6,12,10,9,8,11]
[1,2,3,4,5,8,7,10,6,9,11,12]=>[1,2,3,4,5,10,8,7,6,9,11,12]
[1,2,3,4,5,8,7,11,10,12,6,9]=>[1,2,3,4,5,12,8,7,6,11,10,9]
[1,2,3,4,5,8,7,11,6,10,9,12]=>[1,2,3,4,5,11,8,7,10,6,9,12]
[1,2,3,4,5,9,8,12,6,10,7,11]=>[1,2,3,4,5,12,10,9,8,6,7,11]
[1,2,3,5,4,6,7,8,9,10,11,12]=>[1,2,3,5,4,6,7,8,9,10,11,12]
[1,2,3,5,4,6,7,8,9,11,10,12]=>[1,2,3,5,4,6,7,8,9,11,10,12]
[1,2,3,5,4,6,7,9,8,10,11,12]=>[1,2,3,5,4,6,7,9,8,10,11,12]
[1,2,3,5,4,6,7,9,8,11,10,12]=>[1,2,3,5,4,6,7,9,8,11,10,12]
[1,2,3,5,4,6,7,10,9,12,8,11]=>[1,2,3,5,4,6,7,12,10,9,8,11]
[1,2,3,5,4,7,6,8,9,10,11,12]=>[1,2,3,5,4,7,6,8,9,10,11,12]
[1,2,3,5,4,7,6,8,9,11,10,12]=>[1,2,3,5,4,7,6,8,9,11,10,12]
[1,2,3,5,4,7,6,9,8,10,11,12]=>[1,2,3,5,4,7,6,9,8,10,11,12]
[1,2,3,5,4,7,6,9,8,11,10,12]=>[1,2,3,5,4,7,6,9,8,11,10,12]
[1,2,3,5,4,7,6,10,9,12,8,11]=>[1,2,3,5,4,7,6,12,10,9,8,11]
[1,2,3,5,4,8,7,10,6,9,11,12]=>[1,2,3,5,4,10,8,7,6,9,11,12]
[1,2,3,5,4,8,7,11,10,12,6,9]=>[1,2,3,5,4,12,8,7,6,11,10,9]
[1,2,3,5,4,8,7,11,6,10,9,12]=>[1,2,3,5,4,11,8,7,10,6,9,12]
[1,2,3,5,4,9,8,12,6,10,7,11]=>[1,2,3,5,4,12,10,9,8,6,7,11]
[1,2,3,6,5,8,4,7,9,10,11,12]=>[1,2,3,8,6,5,4,7,9,10,11,12]
[1,2,3,6,5,8,4,7,9,11,10,12]=>[1,2,3,8,6,5,4,7,9,11,10,12]
[1,2,3,6,5,9,8,10,4,7,11,12]=>[1,2,3,10,6,5,4,9,8,7,11,12]
[1,2,3,6,5,9,8,11,10,12,4,7]=>[1,2,3,12,6,5,4,9,8,11,10,7]
[1,2,3,6,5,10,9,12,4,7,8,11]=>[1,2,3,12,6,5,4,7,10,9,8,11]
[1,2,3,6,5,9,4,8,7,10,11,12]=>[1,2,3,9,6,5,8,4,7,10,11,12]
[1,2,3,6,5,9,4,8,7,11,10,12]=>[1,2,3,9,6,5,8,4,7,11,10,12]
[1,2,3,6,5,10,9,12,4,8,7,11]=>[1,2,3,12,6,5,8,4,10,9,7,11]
[1,2,3,6,5,10,7,11,4,9,8,12]=>[1,2,3,11,6,5,10,9,4,7,8,12]
[1,2,3,7,6,10,4,8,5,9,11,12]=>[1,2,3,10,8,7,6,4,5,9,11,12]
[1,2,3,7,6,11,10,12,4,8,5,9]=>[1,2,3,12,8,7,6,4,5,11,10,9]
[1,2,3,7,6,11,4,8,5,10,9,12]=>[1,2,3,11,8,7,6,4,10,5,9,12]
[1,2,3,7,6,11,4,9,8,12,5,10]=>[1,2,3,11,12,7,6,9,4,5,8,10]
[1,2,3,8,7,12,4,9,6,11,5,10]=>[1,2,3,12,11,9,8,7,4,5,6,10]
[1,3,2,4,5,6,7,8,9,10,11,12]=>[1,3,2,4,5,6,7,8,9,10,11,12]
[1,3,2,4,5,6,7,8,9,11,10,12]=>[1,3,2,4,5,6,7,8,9,11,10,12]
[1,3,2,4,5,6,7,9,8,10,11,12]=>[1,3,2,4,5,6,7,9,8,10,11,12]
[1,3,2,4,5,6,7,9,8,11,10,12]=>[1,3,2,4,5,6,7,9,8,11,10,12]
[1,3,2,4,5,6,7,10,9,12,8,11]=>[1,3,2,4,5,6,7,12,10,9,8,11]
[1,3,2,4,5,7,6,8,9,10,11,12]=>[1,3,2,4,5,7,6,8,9,10,11,12]
[1,3,2,4,5,7,6,8,9,11,10,12]=>[1,3,2,4,5,7,6,8,9,11,10,12]
[1,3,2,4,5,7,6,9,8,10,11,12]=>[1,3,2,4,5,7,6,9,8,10,11,12]
[1,3,2,4,5,7,6,9,8,11,10,12]=>[1,3,2,4,5,7,6,9,8,11,10,12]
[1,3,2,4,5,7,6,10,9,12,8,11]=>[1,3,2,4,5,7,6,12,10,9,8,11]
[1,3,2,4,5,8,7,10,6,9,11,12]=>[1,3,2,4,5,10,8,7,6,9,11,12]
[1,3,2,4,5,8,7,11,10,12,6,9]=>[1,3,2,4,5,12,8,7,6,11,10,9]
[1,3,2,4,5,8,7,11,6,10,9,12]=>[1,3,2,4,5,11,8,7,10,6,9,12]
[1,3,2,4,5,9,8,12,6,10,7,11]=>[1,3,2,4,5,12,10,9,8,6,7,11]
[1,3,2,5,4,6,7,8,9,10,11,12]=>[1,3,2,5,4,6,7,8,9,10,11,12]
[1,3,2,5,4,6,7,8,9,11,10,12]=>[1,3,2,5,4,6,7,8,9,11,10,12]
[1,3,2,5,4,6,7,9,8,10,11,12]=>[1,3,2,5,4,6,7,9,8,10,11,12]
[1,3,2,5,4,6,7,9,8,11,10,12]=>[1,3,2,5,4,6,7,9,8,11,10,12]
[1,3,2,5,4,6,7,10,9,12,8,11]=>[1,3,2,5,4,6,7,12,10,9,8,11]
[1,3,2,5,4,7,6,8,9,10,11,12]=>[1,3,2,5,4,7,6,8,9,10,11,12]
[1,3,2,5,4,7,6,8,9,11,10,12]=>[1,3,2,5,4,7,6,8,9,11,10,12]
[1,3,2,5,4,7,6,9,8,10,11,12]=>[1,3,2,5,4,7,6,9,8,10,11,12]
[1,3,2,5,4,7,6,9,8,11,10,12]=>[1,3,2,5,4,7,6,9,8,11,10,12]
[1,3,2,5,4,7,6,10,9,12,8,11]=>[1,3,2,5,4,7,6,12,10,9,8,11]
[1,3,2,5,4,8,7,10,6,9,11,12]=>[1,3,2,5,4,10,8,7,6,9,11,12]
[1,3,2,5,4,8,7,11,10,12,6,9]=>[1,3,2,5,4,12,8,7,6,11,10,9]
[1,3,2,5,4,8,7,11,6,10,9,12]=>[1,3,2,5,4,11,8,7,10,6,9,12]
[1,3,2,5,4,9,8,12,6,10,7,11]=>[1,3,2,5,4,12,10,9,8,6,7,11]
[1,3,2,6,5,8,4,7,9,10,11,12]=>[1,3,2,8,6,5,4,7,9,10,11,12]
[1,3,2,6,5,8,4,7,9,11,10,12]=>[1,3,2,8,6,5,4,7,9,11,10,12]
[1,3,2,6,5,9,8,10,4,7,11,12]=>[1,3,2,10,6,5,4,9,8,7,11,12]
[1,3,2,6,5,9,8,11,10,12,4,7]=>[1,3,2,12,6,5,4,9,8,11,10,7]
[1,3,2,6,5,10,9,12,4,7,8,11]=>[1,3,2,12,6,5,4,7,10,9,8,11]
[1,3,2,6,5,9,4,8,7,10,11,12]=>[1,3,2,9,6,5,8,4,7,10,11,12]
[1,3,2,6,5,9,4,8,7,11,10,12]=>[1,3,2,9,6,5,8,4,7,11,10,12]
[1,3,2,6,5,10,9,12,4,8,7,11]=>[1,3,2,12,6,5,8,4,10,9,7,11]
[1,3,2,6,5,10,7,11,4,9,8,12]=>[1,3,2,11,6,5,10,9,4,7,8,12]
[1,3,2,7,6,10,4,8,5,9,11,12]=>[1,3,2,10,8,7,6,4,5,9,11,12]
[1,3,2,7,6,11,10,12,4,8,5,9]=>[1,3,2,12,8,7,6,4,5,11,10,9]
[1,3,2,7,6,11,4,8,5,10,9,12]=>[1,3,2,11,8,7,6,4,10,5,9,12]
[1,3,2,7,6,11,4,9,8,12,5,10]=>[1,3,2,11,12,7,6,9,4,5,8,10]
[1,3,2,8,7,12,4,9,6,11,5,10]=>[1,3,2,12,11,9,8,7,4,5,6,10]
[1,4,3,6,2,5,7,8,9,10,11,12]=>[1,6,4,3,2,5,7,8,9,10,11,12]
[1,4,3,6,2,5,7,8,9,11,10,12]=>[1,6,4,3,2,5,7,8,9,11,10,12]
[1,4,3,6,2,5,7,9,8,10,11,12]=>[1,6,4,3,2,5,7,9,8,10,11,12]
[1,4,3,6,2,5,7,9,8,11,10,12]=>[1,6,4,3,2,5,7,9,8,11,10,12]
[1,4,3,6,2,5,7,10,9,12,8,11]=>[1,6,4,3,2,5,7,12,10,9,8,11]
[1,4,3,7,6,8,2,5,9,10,11,12]=>[1,8,4,3,2,7,6,5,9,10,11,12]
[1,4,3,7,6,8,2,5,9,11,10,12]=>[1,8,4,3,2,7,6,5,9,11,10,12]
[1,4,3,7,6,9,8,10,2,5,11,12]=>[1,10,4,3,2,7,6,9,8,5,11,12]
[1,4,3,7,6,9,8,11,10,12,2,5]=>[1,12,4,3,2,7,6,9,8,11,10,5]
[1,4,3,7,6,10,9,12,2,5,8,11]=>[1,12,4,3,2,7,6,5,10,9,8,11]
[1,4,3,8,7,10,2,5,6,9,11,12]=>[1,10,4,3,2,5,8,7,6,9,11,12]
[1,4,3,8,7,11,10,12,2,5,6,9]=>[1,12,4,3,2,5,8,7,6,11,10,9]
[1,4,3,8,7,11,6,10,9,12,2,5]=>[1,12,4,3,2,11,8,7,10,6,9,5]
[1,4,3,9,8,12,2,5,6,10,7,11]=>[1,12,4,3,2,5,10,9,8,6,7,11]
[1,4,3,7,2,6,5,8,9,10,11,12]=>[1,7,4,3,6,2,5,8,9,10,11,12]
[1,4,3,7,2,6,5,8,9,11,10,12]=>[1,7,4,3,6,2,5,8,9,11,10,12]
[1,4,3,7,2,6,5,9,8,10,11,12]=>[1,7,4,3,6,2,5,9,8,10,11,12]
[1,4,3,7,2,6,5,9,8,11,10,12]=>[1,7,4,3,6,2,5,9,8,11,10,12]
[1,4,3,7,2,6,5,10,9,12,8,11]=>[1,7,4,3,6,2,5,12,10,9,8,11]
[1,4,3,8,7,10,2,6,5,9,11,12]=>[1,10,4,3,6,2,8,7,5,9,11,12]
[1,4,3,8,7,11,10,12,2,6,5,9]=>[1,12,4,3,6,2,8,7,5,11,10,9]
[1,4,3,8,7,11,2,6,5,10,9,12]=>[1,11,4,3,6,2,8,7,10,5,9,12]
[1,4,3,9,8,12,2,6,5,10,7,11]=>[1,12,4,3,6,2,10,9,8,5,7,11]
[1,4,3,8,5,9,2,7,6,10,11,12]=>[1,9,4,3,8,7,2,5,6,10,11,12]
[1,4,3,8,5,9,2,7,6,11,10,12]=>[1,9,4,3,8,7,2,5,6,11,10,12]
[1,4,3,8,5,10,9,12,2,7,6,11]=>[1,12,4,3,8,7,2,5,10,9,6,11]
[1,4,3,9,8,12,2,7,6,11,5,10]=>[1,12,4,3,11,7,2,9,8,5,6,10]
[1,4,3,9,6,11,2,8,7,12,5,10]=>[1,11,4,3,12,9,8,2,6,5,7,10]
[1,5,4,8,2,6,3,7,9,10,11,12]=>[1,8,6,5,4,2,3,7,9,10,11,12]
[1,5,4,8,2,6,3,7,9,11,10,12]=>[1,8,6,5,4,2,3,7,9,11,10,12]
[1,5,4,9,8,10,2,6,3,7,11,12]=>[1,10,6,5,4,2,3,9,8,7,11,12]
[1,5,4,9,8,11,10,12,2,6,3,7]=>[1,12,6,5,4,2,3,9,8,11,10,7]
[1,5,4,10,9,12,2,6,3,7,8,11]=>[1,12,6,5,4,2,3,7,10,9,8,11]
[1,5,4,9,2,6,3,8,7,10,11,12]=>[1,9,6,5,4,2,8,3,7,10,11,12]
[1,5,4,9,2,6,3,8,7,11,10,12]=>[1,9,6,5,4,2,8,3,7,11,10,12]
[1,5,4,10,9,12,2,6,3,8,7,11]=>[1,12,6,5,4,2,8,3,10,9,7,11]
[1,5,4,10,7,11,2,6,3,9,8,12]=>[1,11,6,5,4,2,10,9,3,7,8,12]
[1,5,4,9,2,7,6,10,3,8,11,12]=>[1,9,10,5,4,7,2,3,6,8,11,12]
[1,5,4,9,2,7,6,11,10,12,3,8]=>[1,9,12,5,4,7,2,3,6,11,10,8]
[1,5,4,10,9,12,2,7,6,11,3,8]=>[1,12,11,5,4,7,2,3,10,9,6,8]
[1,5,4,10,3,9,8,12,2,7,6,11]=>[1,12,10,5,4,7,2,9,3,8,6,11]
[1,5,4,10,3,9,6,11,2,8,7,12]=>[1,11,10,5,4,9,8,2,3,6,7,12]
[1,6,5,10,2,7,4,9,3,8,11,12]=>[1,10,9,7,6,5,2,3,4,8,11,12]
[1,6,5,11,10,12,2,7,4,9,3,8]=>[1,12,9,7,6,5,2,3,4,11,10,8]
[1,6,5,11,2,7,4,10,9,12,3,8]=>[1,11,12,7,6,5,2,3,10,4,9,8]
[1,6,5,11,2,7,4,10,3,9,8,12]=>[1,11,10,7,6,5,2,9,3,4,8,12]
[1,6,5,11,2,8,7,12,3,9,4,10]=>[1,11,12,9,6,5,8,2,3,4,7,10]
[1,7,6,12,2,8,5,11,3,9,4,10]=>[1,12,11,9,8,7,6,2,3,4,5,10]
[3,4,5,6,7,8,9,10,11,1,12,2]=>[11,12,3,4,5,6,7,8,9,10,1,2]
[4,2,5,6,7,8,9,10,11,12,1,3]=>[12,4,1,2,5,6,7,8,9,10,11,3]
[2,1,4,3,6,5,8,7,11,9,12,10]=>[2,1,4,3,6,5,8,7,11,12,9,10]
[2,1,4,3,6,5,9,7,10,8,12,11]=>[2,1,4,3,6,5,9,10,7,8,12,11]
[2,1,4,3,6,5,9,7,11,8,12,10]=>[2,1,4,3,6,5,9,11,7,12,8,10]
[2,1,4,3,6,5,10,7,11,8,12,9]=>[2,1,4,3,6,5,10,11,12,7,8,9]
[2,1,4,3,7,5,8,6,10,9,12,11]=>[2,1,4,3,7,8,5,6,10,9,12,11]
[2,1,4,3,7,5,8,6,11,9,12,10]=>[2,1,4,3,7,8,5,6,11,12,9,10]
[2,1,4,3,7,5,9,6,10,8,12,11]=>[2,1,4,3,7,9,5,10,6,8,12,11]
[2,1,4,3,7,5,9,6,11,8,12,10]=>[2,1,4,3,7,9,5,11,6,12,8,10]
[2,1,4,3,7,5,10,6,11,8,12,9]=>[2,1,4,3,7,10,5,11,12,6,8,9]
[2,1,4,3,8,5,9,6,10,7,12,11]=>[2,1,4,3,8,9,10,5,6,7,12,11]
[2,1,4,3,8,5,9,6,11,7,12,10]=>[2,1,4,3,8,9,11,5,6,12,7,10]
[2,1,4,3,8,5,10,6,11,7,12,9]=>[2,1,4,3,8,10,11,5,12,6,7,9]
[2,1,4,3,9,5,10,6,11,7,12,8]=>[2,1,4,3,9,10,11,12,5,6,7,8]
[2,1,5,3,6,4,8,7,10,9,12,11]=>[2,1,5,6,3,4,8,7,10,9,12,11]
[2,1,5,3,6,4,8,7,11,9,12,10]=>[2,1,5,6,3,4,8,7,11,12,9,10]
[2,1,5,3,6,4,9,7,10,8,12,11]=>[2,1,5,6,3,4,9,10,7,8,12,11]
[2,1,5,3,6,4,9,7,11,8,12,10]=>[2,1,5,6,3,4,9,11,7,12,8,10]
[2,1,5,3,6,4,10,7,11,8,12,9]=>[2,1,5,6,3,4,10,11,12,7,8,9]
[2,1,5,3,7,4,8,6,10,9,12,11]=>[2,1,5,7,3,8,4,6,10,9,12,11]
[2,1,5,3,7,4,8,6,11,9,12,10]=>[2,1,5,7,3,8,4,6,11,12,9,10]
[2,1,5,3,7,4,9,6,10,8,12,11]=>[2,1,5,7,3,9,4,10,6,8,12,11]
[2,1,5,3,7,4,9,6,11,8,12,10]=>[2,1,5,7,3,9,4,11,6,12,8,10]
[2,1,5,3,7,4,10,6,11,8,12,9]=>[2,1,5,7,3,10,4,11,12,6,8,9]
[2,1,5,3,8,4,9,6,10,7,12,11]=>[2,1,5,8,3,9,10,4,6,7,12,11]
[2,1,5,3,8,4,9,6,11,7,12,10]=>[2,1,5,8,3,9,11,4,6,12,7,10]
[2,1,5,3,8,4,10,6,11,7,12,9]=>[2,1,5,8,3,10,11,4,12,6,7,9]
[2,1,5,3,9,4,10,6,11,7,12,8]=>[2,1,5,9,3,10,11,12,4,6,7,8]
[2,1,6,3,7,4,8,5,10,9,12,11]=>[2,1,6,7,8,3,4,5,10,9,12,11]
[2,1,6,3,7,4,8,5,11,9,12,10]=>[2,1,6,7,8,3,4,5,11,12,9,10]
[2,1,6,3,7,4,9,5,10,8,12,11]=>[2,1,6,7,9,3,4,10,5,8,12,11]
[2,1,6,3,7,4,9,5,11,8,12,10]=>[2,1,6,7,9,3,4,11,5,12,8,10]
[2,1,6,3,7,4,10,5,11,8,12,9]=>[2,1,6,7,10,3,4,11,12,5,8,9]
[2,1,6,3,8,4,9,5,10,7,12,11]=>[2,1,6,8,9,3,10,4,5,7,12,11]
[2,1,6,3,8,4,9,5,11,7,12,10]=>[2,1,6,8,9,3,11,4,5,12,7,10]
[2,1,6,3,8,4,10,5,11,7,12,9]=>[2,1,6,8,10,3,11,4,12,5,7,9]
[2,1,6,3,9,4,10,5,11,7,12,8]=>[2,1,6,9,10,3,11,12,4,5,7,8]
[2,1,7,3,8,4,9,5,10,6,12,11]=>[2,1,7,8,9,10,3,4,5,6,12,11]
[2,1,7,3,8,4,9,5,11,6,12,10]=>[2,1,7,8,9,11,3,4,5,12,6,10]
[2,1,7,3,8,4,10,5,11,6,12,9]=>[2,1,7,8,10,11,3,4,12,5,6,9]
[2,1,7,3,9,4,10,5,11,6,12,8]=>[2,1,7,9,10,11,3,12,4,5,6,8]
[2,1,8,3,9,4,10,5,11,6,12,7]=>[2,1,8,9,10,11,12,3,4,5,6,7]
[3,1,4,2,6,5,8,7,10,9,12,11]=>[3,4,1,2,6,5,8,7,10,9,12,11]
[3,1,4,2,6,5,8,7,11,9,12,10]=>[3,4,1,2,6,5,8,7,11,12,9,10]
[3,1,4,2,6,5,9,7,10,8,12,11]=>[3,4,1,2,6,5,9,10,7,8,12,11]
[3,1,4,2,6,5,9,7,11,8,12,10]=>[3,4,1,2,6,5,9,11,7,12,8,10]
[3,1,4,2,6,5,10,7,11,8,12,9]=>[3,4,1,2,6,5,10,11,12,7,8,9]
[3,1,4,2,7,5,8,6,10,9,12,11]=>[3,4,1,2,7,8,5,6,10,9,12,11]
[3,1,4,2,7,5,8,6,11,9,12,10]=>[3,4,1,2,7,8,5,6,11,12,9,10]
[3,1,4,2,7,5,9,6,10,8,12,11]=>[3,4,1,2,7,9,5,10,6,8,12,11]
[3,1,4,2,7,5,9,6,11,8,12,10]=>[3,4,1,2,7,9,5,11,6,12,8,10]
[3,1,4,2,7,5,10,6,11,8,12,9]=>[3,4,1,2,7,10,5,11,12,6,8,9]
[3,1,4,2,8,5,9,6,10,7,12,11]=>[3,4,1,2,8,9,10,5,6,7,12,11]
[3,1,4,2,8,5,9,6,11,7,12,10]=>[3,4,1,2,8,9,11,5,6,12,7,10]
[3,1,4,2,8,5,10,6,11,7,12,9]=>[3,4,1,2,8,10,11,5,12,6,7,9]
[3,1,4,2,9,5,10,6,11,7,12,8]=>[3,4,1,2,9,10,11,12,5,6,7,8]
[3,1,5,2,6,4,8,7,10,9,12,11]=>[3,5,1,6,2,4,8,7,10,9,12,11]
[3,1,5,2,6,4,8,7,11,9,12,10]=>[3,5,1,6,2,4,8,7,11,12,9,10]
[3,1,5,2,6,4,9,7,10,8,12,11]=>[3,5,1,6,2,4,9,10,7,8,12,11]
[3,1,5,2,6,4,9,7,11,8,12,10]=>[3,5,1,6,2,4,9,11,7,12,8,10]
[3,1,5,2,6,4,10,7,11,8,12,9]=>[3,5,1,6,2,4,10,11,12,7,8,9]
[3,1,5,2,7,4,8,6,10,9,12,11]=>[3,5,1,7,2,8,4,6,10,9,12,11]
[3,1,5,2,7,4,8,6,11,9,12,10]=>[3,5,1,7,2,8,4,6,11,12,9,10]
[3,1,5,2,7,4,9,6,10,8,12,11]=>[3,5,1,7,2,9,4,10,6,8,12,11]
[3,1,5,2,7,4,9,6,11,8,12,10]=>[3,5,1,7,2,9,4,11,6,12,8,10]
[3,1,5,2,7,4,10,6,11,8,12,9]=>[3,5,1,7,2,10,4,11,12,6,8,9]
[3,1,5,2,8,4,9,6,10,7,12,11]=>[3,5,1,8,2,9,10,4,6,7,12,11]
[3,1,5,2,8,4,9,6,11,7,12,10]=>[3,5,1,8,2,9,11,4,6,12,7,10]
[3,1,5,2,8,4,10,6,11,7,12,9]=>[3,5,1,8,2,10,11,4,12,6,7,9]
[3,1,5,2,9,4,10,6,11,7,12,8]=>[3,5,1,9,2,10,11,12,4,6,7,8]
[3,1,6,2,7,4,8,5,10,9,12,11]=>[3,6,1,7,8,2,4,5,10,9,12,11]
[3,1,6,2,7,4,8,5,11,9,12,10]=>[3,6,1,7,8,2,4,5,11,12,9,10]
[3,1,6,2,7,4,9,5,10,8,12,11]=>[3,6,1,7,9,2,4,10,5,8,12,11]
[3,1,6,2,7,4,9,5,11,8,12,10]=>[3,6,1,7,9,2,4,11,5,12,8,10]
[3,1,6,2,7,4,10,5,11,8,12,9]=>[3,6,1,7,10,2,4,11,12,5,8,9]
[3,1,6,2,8,4,9,5,10,7,12,11]=>[3,6,1,8,9,2,10,4,5,7,12,11]
[3,1,6,2,8,4,9,5,11,7,12,10]=>[3,6,1,8,9,2,11,4,5,12,7,10]
[3,1,6,2,8,4,10,5,11,7,12,9]=>[3,6,1,8,10,2,11,4,12,5,7,9]
[3,1,6,2,9,4,10,5,11,7,12,8]=>[3,6,1,9,10,2,11,12,4,5,7,8]
[3,1,7,2,8,4,9,5,10,6,12,11]=>[3,7,1,8,9,10,2,4,5,6,12,11]
[3,1,7,2,8,4,9,5,11,6,12,10]=>[3,7,1,8,9,11,2,4,5,12,6,10]
[3,1,7,2,8,4,10,5,11,6,12,9]=>[3,7,1,8,10,11,2,4,12,5,6,9]
[3,1,7,2,9,4,10,5,11,6,12,8]=>[3,7,1,9,10,11,2,12,4,5,6,8]
[3,1,8,2,9,4,10,5,11,6,12,7]=>[3,8,1,9,10,11,12,2,4,5,6,7]
[4,1,5,2,6,3,8,7,10,9,12,11]=>[4,5,6,1,2,3,8,7,10,9,12,11]
[4,1,5,2,6,3,8,7,11,9,12,10]=>[4,5,6,1,2,3,8,7,11,12,9,10]
[4,1,5,2,6,3,9,7,10,8,12,11]=>[4,5,6,1,2,3,9,10,7,8,12,11]
[4,1,5,2,6,3,9,7,11,8,12,10]=>[4,5,6,1,2,3,9,11,7,12,8,10]
[4,1,5,2,6,3,10,7,11,8,12,9]=>[4,5,6,1,2,3,10,11,12,7,8,9]
[4,1,5,2,7,3,8,6,10,9,12,11]=>[4,5,7,1,2,8,3,6,10,9,12,11]
[4,1,5,2,7,3,8,6,11,9,12,10]=>[4,5,7,1,2,8,3,6,11,12,9,10]
[4,1,5,2,7,3,9,6,10,8,12,11]=>[4,5,7,1,2,9,3,10,6,8,12,11]
[4,1,5,2,7,3,9,6,11,8,12,10]=>[4,5,7,1,2,9,3,11,6,12,8,10]
[4,1,5,2,7,3,10,6,11,8,12,9]=>[4,5,7,1,2,10,3,11,12,6,8,9]
[4,1,5,2,8,3,9,6,10,7,12,11]=>[4,5,8,1,2,9,10,3,6,7,12,11]
[4,1,5,2,8,3,9,6,11,7,12,10]=>[4,5,8,1,2,9,11,3,6,12,7,10]
[4,1,5,2,8,3,10,6,11,7,12,9]=>[4,5,8,1,2,10,11,3,12,6,7,9]
[4,1,5,2,9,3,10,6,11,7,12,8]=>[4,5,9,1,2,10,11,12,3,6,7,8]
[4,1,6,2,7,3,8,5,10,9,12,11]=>[4,6,7,1,8,2,3,5,10,9,12,11]
[4,1,6,2,7,3,8,5,11,9,12,10]=>[4,6,7,1,8,2,3,5,11,12,9,10]
[4,1,6,2,7,3,9,5,10,8,12,11]=>[4,6,7,1,9,2,3,10,5,8,12,11]
[4,1,6,2,7,3,9,5,11,8,12,10]=>[4,6,7,1,9,2,3,11,5,12,8,10]
[4,1,6,2,7,3,10,5,11,8,12,9]=>[4,6,7,1,10,2,3,11,12,5,8,9]
[4,1,6,2,8,3,9,5,10,7,12,11]=>[4,6,8,1,9,2,10,3,5,7,12,11]
[4,1,6,2,8,3,9,5,11,7,12,10]=>[4,6,8,1,9,2,11,3,5,12,7,10]
[4,1,6,2,8,3,10,5,11,7,12,9]=>[4,6,8,1,10,2,11,3,12,5,7,9]
[4,1,6,2,9,3,10,5,11,7,12,8]=>[4,6,9,1,10,2,11,12,3,5,7,8]
[4,1,7,2,8,3,9,5,10,6,12,11]=>[4,7,8,1,9,10,2,3,5,6,12,11]
[4,1,7,2,8,3,9,5,11,6,12,10]=>[4,7,8,1,9,11,2,3,5,12,6,10]
[4,1,7,2,8,3,10,5,11,6,12,9]=>[4,7,8,1,10,11,2,3,12,5,6,9]
[4,1,7,2,9,3,10,5,11,6,12,8]=>[4,7,9,1,10,11,2,12,3,5,6,8]
[4,1,8,2,9,3,10,5,11,6,12,7]=>[4,8,9,1,10,11,12,2,3,5,6,7]
[5,1,6,2,7,3,8,4,10,9,12,11]=>[5,6,7,8,1,2,3,4,10,9,12,11]
[5,1,6,2,7,3,8,4,11,9,12,10]=>[5,6,7,8,1,2,3,4,11,12,9,10]
[5,1,6,2,7,3,9,4,10,8,12,11]=>[5,6,7,9,1,2,3,10,4,8,12,11]
[5,1,6,2,7,3,9,4,11,8,12,10]=>[5,6,7,9,1,2,3,11,4,12,8,10]
[5,1,6,2,7,3,10,4,11,8,12,9]=>[5,6,7,10,1,2,3,11,12,4,8,9]
[5,1,6,2,8,3,9,4,10,7,12,11]=>[5,6,8,9,1,2,10,3,4,7,12,11]
[5,1,6,2,8,3,9,4,11,7,12,10]=>[5,6,8,9,1,2,11,3,4,12,7,10]
[5,1,6,2,8,3,10,4,11,7,12,9]=>[5,6,8,10,1,2,11,3,12,4,7,9]
[5,1,6,2,9,3,10,4,11,7,12,8]=>[5,6,9,10,1,2,11,12,3,4,7,8]
[5,1,7,2,8,3,9,4,10,6,12,11]=>[5,7,8,9,1,10,2,3,4,6,12,11]
[5,1,7,2,8,3,9,4,11,6,12,10]=>[5,7,8,9,1,11,2,3,4,12,6,10]
[5,1,7,2,8,3,10,4,11,6,12,9]=>[5,7,8,10,1,11,2,3,12,4,6,9]
[5,1,7,2,9,3,10,4,11,6,12,8]=>[5,7,9,10,1,11,2,12,3,4,6,8]
[5,1,8,2,9,3,10,4,11,6,12,7]=>[5,8,9,10,1,11,12,2,3,4,6,7]
[6,1,7,2,8,3,9,4,10,5,12,11]=>[6,7,8,9,10,1,2,3,4,5,12,11]
[6,1,7,2,8,3,9,4,11,5,12,10]=>[6,7,8,9,11,1,2,3,4,12,5,10]
[6,1,7,2,8,3,10,4,11,5,12,9]=>[6,7,8,10,11,1,2,3,12,4,5,9]
[6,1,7,2,9,3,10,4,11,5,12,8]=>[6,7,9,10,11,1,2,12,3,4,5,8]
[6,1,8,2,9,3,10,4,11,5,12,7]=>[6,8,9,10,11,1,12,2,3,4,5,7]
[3,1,12,11,10,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,10,11,12,2]
[2,3,4,5,6,7,8,9,11,1,12,10]=>[11,2,3,4,5,6,7,8,9,12,1,10]
[1,8,2,9,3,10,4,11,5,12,6,7]=>[1,8,9,10,11,12,6,2,3,4,5,7]
[1,8,2,9,3,10,4,11,12,5,6,7]=>[1,8,9,10,12,5,6,2,3,4,11,7]
[1,8,2,9,3,10,11,4,5,12,6,7]=>[1,8,9,11,4,12,6,2,3,10,5,7]
[1,8,2,9,3,10,11,4,12,5,6,7]=>[1,8,9,11,12,5,6,2,3,10,4,7]
[1,8,2,9,3,10,11,12,4,5,6,7]=>[1,8,9,12,4,5,6,2,3,10,11,7]
[1,8,2,9,10,3,4,11,5,12,6,7]=>[1,8,10,3,11,12,6,2,9,4,5,7]
[1,8,2,9,10,3,4,11,12,5,6,7]=>[1,8,10,3,12,5,6,2,9,4,11,7]
[1,8,2,9,10,3,11,4,5,12,6,7]=>[1,8,10,11,4,12,6,2,9,3,5,7]
[1,8,2,9,10,3,11,4,12,5,6,7]=>[1,8,10,11,12,5,6,2,9,3,4,7]
[1,8,2,9,10,3,11,12,4,5,6,7]=>[1,8,10,12,4,5,6,2,9,3,11,7]
[1,8,2,9,10,11,3,4,5,12,6,7]=>[1,8,11,3,4,12,6,2,9,10,5,7]
[1,8,2,9,10,11,3,4,12,5,6,7]=>[1,8,11,3,12,5,6,2,9,10,4,7]
[1,8,2,9,10,11,3,12,4,5,6,7]=>[1,8,11,12,4,5,6,2,9,10,3,7]
[1,8,2,9,10,11,12,3,4,5,6,7]=>[1,8,12,3,4,5,6,2,9,10,11,7]
[1,8,9,2,3,10,4,11,5,12,6,7]=>[1,9,2,10,11,12,6,8,3,4,5,7]
[1,8,9,2,3,10,4,11,12,5,6,7]=>[1,9,2,10,12,5,6,8,3,4,11,7]
[1,8,9,2,3,10,11,4,5,12,6,7]=>[1,9,2,11,4,12,6,8,3,10,5,7]
[1,8,9,2,3,10,11,4,12,5,6,7]=>[1,9,2,11,12,5,6,8,3,10,4,7]
[1,8,9,2,3,10,11,12,4,5,6,7]=>[1,9,2,12,4,5,6,8,3,10,11,7]
[1,8,9,2,10,3,4,11,5,12,6,7]=>[1,9,10,3,11,12,6,8,2,4,5,7]
[1,8,9,2,10,3,4,11,12,5,6,7]=>[1,9,10,3,12,5,6,8,2,4,11,7]
[1,8,9,2,10,3,11,4,5,12,6,7]=>[1,9,10,11,4,12,6,8,2,3,5,7]
[1,8,9,2,10,3,11,4,12,5,6,7]=>[1,9,10,11,12,5,6,8,2,3,4,7]
[1,8,9,2,10,3,11,12,4,5,6,7]=>[1,9,10,12,4,5,6,8,2,3,11,7]
[1,8,9,2,10,11,3,4,5,12,6,7]=>[1,9,11,3,4,12,6,8,2,10,5,7]
[1,8,9,2,10,11,3,4,12,5,6,7]=>[1,9,11,3,12,5,6,8,2,10,4,7]
[1,8,9,2,10,11,3,12,4,5,6,7]=>[1,9,11,12,4,5,6,8,2,10,3,7]
[1,8,9,2,10,11,12,3,4,5,6,7]=>[1,9,12,3,4,5,6,8,2,10,11,7]
[1,8,9,10,2,3,4,11,5,12,6,7]=>[1,10,2,3,11,12,6,8,9,4,5,7]
[1,8,9,10,2,3,4,11,12,5,6,7]=>[1,10,2,3,12,5,6,8,9,4,11,7]
[1,8,9,10,2,3,11,4,5,12,6,7]=>[1,10,2,11,4,12,6,8,9,3,5,7]
[1,8,9,10,2,3,11,4,12,5,6,7]=>[1,10,2,11,12,5,6,8,9,3,4,7]
[1,8,9,10,2,3,11,12,4,5,6,7]=>[1,10,2,12,4,5,6,8,9,3,11,7]
[1,8,9,10,2,11,3,4,5,12,6,7]=>[1,10,11,3,4,12,6,8,9,2,5,7]
[1,8,9,10,2,11,3,4,12,5,6,7]=>[1,10,11,3,12,5,6,8,9,2,4,7]
[1,8,9,10,2,11,3,12,4,5,6,7]=>[1,10,11,12,4,5,6,8,9,2,3,7]
[1,8,9,10,2,11,12,3,4,5,6,7]=>[1,10,12,3,4,5,6,8,9,2,11,7]
[1,8,9,10,11,2,3,4,5,12,6,7]=>[1,11,2,3,4,12,6,8,9,10,5,7]
[1,8,9,10,11,2,3,4,12,5,6,7]=>[1,11,2,3,12,5,6,8,9,10,4,7]
[1,8,9,10,11,2,3,12,4,5,6,7]=>[1,11,2,12,4,5,6,8,9,10,3,7]
[1,8,9,10,11,2,12,3,4,5,6,7]=>[1,11,12,3,4,5,6,8,9,10,2,7]
[1,8,9,10,11,12,2,3,4,5,6,7]=>[1,12,2,3,4,5,6,8,9,10,11,7]
[8,1,2,9,3,10,4,11,5,12,6,7]=>[8,1,9,10,11,12,6,2,3,4,5,7]
[8,1,2,9,3,10,4,11,12,5,6,7]=>[8,1,9,10,12,5,6,2,3,4,11,7]
[8,1,2,9,3,10,11,4,5,12,6,7]=>[8,1,9,11,4,12,6,2,3,10,5,7]
[8,1,2,9,3,10,11,4,12,5,6,7]=>[8,1,9,11,12,5,6,2,3,10,4,7]
[8,1,2,9,3,10,11,12,4,5,6,7]=>[8,1,9,12,4,5,6,2,3,10,11,7]
[8,1,2,9,10,3,4,11,5,12,6,7]=>[8,1,10,3,11,12,6,2,9,4,5,7]
[8,1,2,9,10,3,4,11,12,5,6,7]=>[8,1,10,3,12,5,6,2,9,4,11,7]
[8,1,2,9,10,3,11,4,5,12,6,7]=>[8,1,10,11,4,12,6,2,9,3,5,7]
[8,1,2,9,10,3,11,4,12,5,6,7]=>[8,1,10,11,12,5,6,2,9,3,4,7]
[8,1,2,9,10,3,11,12,4,5,6,7]=>[8,1,10,12,4,5,6,2,9,3,11,7]
[8,1,2,9,10,11,3,4,5,12,6,7]=>[8,1,11,3,4,12,6,2,9,10,5,7]
[8,1,2,9,10,11,3,4,12,5,6,7]=>[8,1,11,3,12,5,6,2,9,10,4,7]
[8,1,2,9,10,11,3,12,4,5,6,7]=>[8,1,11,12,4,5,6,2,9,10,3,7]
[8,1,2,9,10,11,12,3,4,5,6,7]=>[8,1,12,3,4,5,6,2,9,10,11,7]
[8,1,9,2,3,10,4,11,5,12,6,7]=>[8,9,2,10,11,12,6,1,3,4,5,7]
[8,1,9,2,3,10,4,11,12,5,6,7]=>[8,9,2,10,12,5,6,1,3,4,11,7]
[8,1,9,2,3,10,11,4,5,12,6,7]=>[8,9,2,11,4,12,6,1,3,10,5,7]
[8,1,9,2,3,10,11,4,12,5,6,7]=>[8,9,2,11,12,5,6,1,3,10,4,7]
[8,1,9,2,3,10,11,12,4,5,6,7]=>[8,9,2,12,4,5,6,1,3,10,11,7]
[8,1,9,2,10,3,4,11,5,12,6,7]=>[8,9,10,3,11,12,6,1,2,4,5,7]
[8,1,9,2,10,3,4,11,12,5,6,7]=>[8,9,10,3,12,5,6,1,2,4,11,7]
[8,1,9,2,10,3,11,4,5,12,6,7]=>[8,9,10,11,4,12,6,1,2,3,5,7]
[8,1,9,2,10,3,11,4,12,5,6,7]=>[8,9,10,11,12,5,6,1,2,3,4,7]
[8,1,9,2,10,3,11,12,4,5,6,7]=>[8,9,10,12,4,5,6,1,2,3,11,7]
[8,1,9,2,10,11,3,4,5,12,6,7]=>[8,9,11,3,4,12,6,1,2,10,5,7]
[8,1,9,2,10,11,3,4,12,5,6,7]=>[8,9,11,3,12,5,6,1,2,10,4,7]
[8,1,9,2,10,11,3,12,4,5,6,7]=>[8,9,11,12,4,5,6,1,2,10,3,7]
[8,1,9,2,10,11,12,3,4,5,6,7]=>[8,9,12,3,4,5,6,1,2,10,11,7]
[8,1,9,10,2,3,4,11,5,12,6,7]=>[8,10,2,3,11,12,6,1,9,4,5,7]
[8,1,9,10,2,3,4,11,12,5,6,7]=>[8,10,2,3,12,5,6,1,9,4,11,7]
[8,1,9,10,2,3,11,4,5,12,6,7]=>[8,10,2,11,4,12,6,1,9,3,5,7]
[8,1,9,10,2,3,11,4,12,5,6,7]=>[8,10,2,11,12,5,6,1,9,3,4,7]
[8,1,9,10,2,3,11,12,4,5,6,7]=>[8,10,2,12,4,5,6,1,9,3,11,7]
[8,1,9,10,2,11,3,4,5,12,6,7]=>[8,10,11,3,4,12,6,1,9,2,5,7]
[8,1,9,10,2,11,3,4,12,5,6,7]=>[8,10,11,3,12,5,6,1,9,2,4,7]
[8,1,9,10,2,11,3,12,4,5,6,7]=>[8,10,11,12,4,5,6,1,9,2,3,7]
[8,1,9,10,2,11,12,3,4,5,6,7]=>[8,10,12,3,4,5,6,1,9,2,11,7]
[8,1,9,10,11,2,3,4,5,12,6,7]=>[8,11,2,3,4,12,6,1,9,10,5,7]
[8,1,9,10,11,2,3,4,12,5,6,7]=>[8,11,2,3,12,5,6,1,9,10,4,7]
[8,1,9,10,11,2,3,12,4,5,6,7]=>[8,11,2,12,4,5,6,1,9,10,3,7]
[8,1,9,10,11,2,12,3,4,5,6,7]=>[8,11,12,3,4,5,6,1,9,10,2,7]
[8,1,9,10,11,12,2,3,4,5,6,7]=>[8,12,2,3,4,5,6,1,9,10,11,7]
[8,9,1,2,3,10,4,11,5,12,6,7]=>[9,1,2,10,11,12,6,8,3,4,5,7]
[8,9,1,2,3,10,4,11,12,5,6,7]=>[9,1,2,10,12,5,6,8,3,4,11,7]
[8,9,1,2,3,10,11,4,5,12,6,7]=>[9,1,2,11,4,12,6,8,3,10,5,7]
[8,9,1,2,3,10,11,4,12,5,6,7]=>[9,1,2,11,12,5,6,8,3,10,4,7]
[8,9,1,2,3,10,11,12,4,5,6,7]=>[9,1,2,12,4,5,6,8,3,10,11,7]
[8,9,1,2,10,3,4,11,5,12,6,7]=>[9,1,10,3,11,12,6,8,2,4,5,7]
[8,9,1,2,10,3,4,11,12,5,6,7]=>[9,1,10,3,12,5,6,8,2,4,11,7]
[8,9,1,2,10,3,11,4,5,12,6,7]=>[9,1,10,11,4,12,6,8,2,3,5,7]
[8,9,1,2,10,3,11,4,12,5,6,7]=>[9,1,10,11,12,5,6,8,2,3,4,7]
[8,9,1,2,10,3,11,12,4,5,6,7]=>[9,1,10,12,4,5,6,8,2,3,11,7]
[8,9,1,2,10,11,3,4,5,12,6,7]=>[9,1,11,3,4,12,6,8,2,10,5,7]
[8,9,1,2,10,11,3,4,12,5,6,7]=>[9,1,11,3,12,5,6,8,2,10,4,7]
[8,9,1,2,10,11,3,12,4,5,6,7]=>[9,1,11,12,4,5,6,8,2,10,3,7]
[8,9,1,2,10,11,12,3,4,5,6,7]=>[9,1,12,3,4,5,6,8,2,10,11,7]
[8,9,1,10,2,3,4,11,5,12,6,7]=>[9,10,2,3,11,12,6,8,1,4,5,7]
[8,9,1,10,2,3,4,11,12,5,6,7]=>[9,10,2,3,12,5,6,8,1,4,11,7]
[8,9,1,10,2,3,11,4,5,12,6,7]=>[9,10,2,11,4,12,6,8,1,3,5,7]
[8,9,1,10,2,3,11,4,12,5,6,7]=>[9,10,2,11,12,5,6,8,1,3,4,7]
[8,9,1,10,2,3,11,12,4,5,6,7]=>[9,10,2,12,4,5,6,8,1,3,11,7]
[8,9,1,10,2,11,3,4,5,12,6,7]=>[9,10,11,3,4,12,6,8,1,2,5,7]
[8,9,1,10,2,11,3,4,12,5,6,7]=>[9,10,11,3,12,5,6,8,1,2,4,7]
[8,9,1,10,2,11,3,12,4,5,6,7]=>[9,10,11,12,4,5,6,8,1,2,3,7]
[8,9,1,10,2,11,12,3,4,5,6,7]=>[9,10,12,3,4,5,6,8,1,2,11,7]
[8,9,1,10,11,2,3,4,5,12,6,7]=>[9,11,2,3,4,12,6,8,1,10,5,7]
[8,9,1,10,11,2,3,4,12,5,6,7]=>[9,11,2,3,12,5,6,8,1,10,4,7]
[8,9,1,10,11,2,3,12,4,5,6,7]=>[9,11,2,12,4,5,6,8,1,10,3,7]
[8,9,1,10,11,2,12,3,4,5,6,7]=>[9,11,12,3,4,5,6,8,1,10,2,7]
[8,9,1,10,11,12,2,3,4,5,6,7]=>[9,12,2,3,4,5,6,8,1,10,11,7]
[8,9,10,1,2,3,4,11,5,12,6,7]=>[10,1,2,3,11,12,6,8,9,4,5,7]
[8,9,10,1,2,3,4,11,12,5,6,7]=>[10,1,2,3,12,5,6,8,9,4,11,7]
[8,9,10,1,2,3,11,4,5,12,6,7]=>[10,1,2,11,4,12,6,8,9,3,5,7]
[8,9,10,1,2,3,11,4,12,5,6,7]=>[10,1,2,11,12,5,6,8,9,3,4,7]
[8,9,10,1,2,3,11,12,4,5,6,7]=>[10,1,2,12,4,5,6,8,9,3,11,7]
[8,9,10,1,2,11,3,4,5,12,6,7]=>[10,1,11,3,4,12,6,8,9,2,5,7]
[8,9,10,1,2,11,3,4,12,5,6,7]=>[10,1,11,3,12,5,6,8,9,2,4,7]
[8,9,10,1,2,11,3,12,4,5,6,7]=>[10,1,11,12,4,5,6,8,9,2,3,7]
[8,9,10,1,2,11,12,3,4,5,6,7]=>[10,1,12,3,4,5,6,8,9,2,11,7]
[8,9,10,1,11,2,3,4,5,12,6,7]=>[10,11,2,3,4,12,6,8,9,1,5,7]
[8,9,10,1,11,2,3,4,12,5,6,7]=>[10,11,2,3,12,5,6,8,9,1,4,7]
[8,9,10,1,11,2,3,12,4,5,6,7]=>[10,11,2,12,4,5,6,8,9,1,3,7]
[8,9,10,1,11,2,12,3,4,5,6,7]=>[10,11,12,3,4,5,6,8,9,1,2,7]
[8,9,10,1,11,12,2,3,4,5,6,7]=>[10,12,2,3,4,5,6,8,9,1,11,7]
[8,9,10,11,1,2,3,4,5,12,6,7]=>[11,1,2,3,4,12,6,8,9,10,5,7]
[8,9,10,11,1,2,3,4,12,5,6,7]=>[11,1,2,3,12,5,6,8,9,10,4,7]
[8,9,10,11,1,2,3,12,4,5,6,7]=>[11,1,2,12,4,5,6,8,9,10,3,7]
[8,9,10,11,1,2,12,3,4,5,6,7]=>[11,1,12,3,4,5,6,8,9,10,2,7]
[8,9,10,11,1,12,2,3,4,5,6,7]=>[11,12,2,3,4,5,6,8,9,10,1,7]
[8,9,10,11,12,1,2,3,4,5,6,7]=>[12,1,2,3,4,5,6,8,9,10,11,7]
[12,10,8,6,4,2,1,3,5,7,9,11]=>[2,4,1,6,3,8,5,10,7,12,9,11]
[11,12,8,6,4,2,1,3,5,7,10,9]=>[2,4,1,6,3,8,5,12,10,7,11,9]
[12,9,10,6,4,2,1,3,5,8,7,11]=>[2,4,1,6,3,10,8,5,12,9,7,11]
[11,9,12,6,4,2,1,3,5,8,10,7]=>[2,4,1,6,3,12,10,5,11,8,9,7]
[10,11,12,6,4,2,1,3,5,9,8,7]=>[2,4,1,6,3,12,8,9,5,10,11,7]
[12,10,7,8,4,2,1,3,6,5,9,11]=>[2,4,1,8,6,3,10,7,5,12,9,11]
[11,12,7,8,4,2,1,3,6,5,10,9]=>[2,4,1,8,6,3,12,7,10,5,11,9]
[12,9,7,10,4,2,1,3,6,8,5,11]=>[2,4,1,10,8,3,9,6,12,7,5,11]
[11,9,7,12,4,2,1,3,6,8,10,5]=>[2,4,1,12,10,3,9,6,11,8,7,5]
[10,11,7,12,4,2,1,3,6,9,8,5]=>[2,4,1,12,8,3,9,11,6,10,5,7]
[12,8,9,10,4,2,1,3,7,6,5,11]=>[2,4,1,10,6,7,3,12,8,9,5,11]
[11,8,9,12,4,2,1,3,7,6,10,5]=>[2,4,1,12,10,7,3,11,8,6,9,5]
[10,8,11,12,4,2,1,3,7,9,6,5]=>[2,4,1,12,6,9,3,10,7,8,11,5]
[9,10,11,12,4,2,1,3,8,7,6,5]=>[2,4,1,12,6,7,8,3,9,10,11,5]
[12,10,8,5,6,2,1,4,3,7,9,11]=>[2,6,4,1,8,5,3,10,7,12,9,11]
[11,12,8,5,6,2,1,4,3,7,10,9]=>[2,6,4,1,8,5,3,12,10,7,11,9]
[12,9,10,5,6,2,1,4,3,8,7,11]=>[2,6,4,1,10,5,8,3,12,9,7,11]
[11,9,12,5,6,2,1,4,3,8,10,7]=>[2,6,4,1,12,5,10,3,11,8,9,7]
[10,11,12,5,6,2,1,4,3,9,8,7]=>[2,6,4,1,12,5,8,9,3,10,11,7]
[12,10,7,5,8,2,1,4,6,3,9,11]=>[2,8,6,1,7,4,10,5,3,12,9,11]
[11,12,7,5,8,2,1,4,6,3,10,9]=>[2,8,6,1,7,4,12,5,10,3,11,9]
[12,9,7,5,10,2,1,4,6,8,3,11]=>[2,10,8,1,7,4,9,6,12,5,3,11]
[11,9,7,5,12,2,1,4,6,8,10,3]=>[2,12,10,1,7,4,9,6,11,8,5,3]
[10,11,7,5,12,2,1,4,6,9,8,3]=>[2,12,8,1,7,4,9,11,6,10,3,5]
[12,8,9,5,10,2,1,4,7,6,3,11]=>[2,10,6,1,7,9,4,12,8,3,5,11]
[11,8,9,5,12,2,1,4,7,6,10,3]=>[2,12,10,1,9,7,4,11,8,6,5,3]
[10,8,11,5,12,2,1,4,7,9,6,3]=>[2,12,6,1,9,11,4,10,7,8,3,5]
[9,10,11,5,12,2,1,4,8,7,6,3]=>[2,12,6,1,7,8,11,4,9,10,5,3]
[12,10,6,7,8,2,1,5,4,3,9,11]=>[2,8,4,5,1,10,6,7,3,12,9,11]
[11,12,6,7,8,2,1,5,4,3,10,9]=>[2,8,4,5,1,12,6,7,10,3,11,9]
[12,9,6,7,10,2,1,5,4,8,3,11]=>[2,10,8,5,1,9,6,4,12,7,3,11]
[11,9,6,7,12,2,1,5,4,8,10,3]=>[2,12,10,5,1,9,6,4,11,8,7,3]
[10,11,6,7,12,2,1,5,4,9,8,3]=>[2,12,8,5,1,9,3,11,4,10,7,6]
[12,8,6,9,10,2,1,5,7,4,3,11]=>[2,10,4,7,1,8,5,12,6,9,3,11]
[11,8,6,9,12,2,1,5,7,4,10,3]=>[2,12,10,7,1,8,5,11,6,4,9,3]
[10,8,6,11,12,2,1,5,7,9,4,3]=>[2,12,4,9,1,8,5,10,7,6,11,3]
[9,10,6,11,12,2,1,5,8,7,4,3]=>[2,12,4,7,1,8,10,5,9,3,11,6]
[12,7,8,9,10,2,1,6,5,4,3,11]=>[2,10,4,5,6,1,12,7,8,9,3,11]
[11,7,8,9,12,2,1,6,5,4,10,3]=>[2,12,10,5,6,1,11,7,8,4,9,3]
[10,7,8,11,12,2,1,6,5,9,4,3]=>[2,12,4,9,6,1,10,7,5,8,11,3]
[9,7,10,11,12,2,1,6,8,5,4,3]=>[2,12,4,5,8,1,9,6,7,10,11,3]
[8,9,10,11,12,2,1,7,6,5,4,3]=>[2,12,4,5,6,7,1,8,9,10,11,3]
[12,10,8,6,3,4,2,1,5,7,9,11]=>[2,4,6,3,1,8,5,10,7,12,9,11]
[11,12,8,6,3,4,2,1,5,7,10,9]=>[2,4,6,3,1,8,5,12,10,7,11,9]
[12,9,10,6,3,4,2,1,5,8,7,11]=>[2,4,6,3,1,10,8,5,12,9,7,11]
[11,9,12,6,3,4,2,1,5,8,10,7]=>[2,4,6,3,1,12,10,5,11,8,9,7]
[10,11,12,6,3,4,2,1,5,9,8,7]=>[2,4,6,3,1,12,8,9,5,10,11,7]
[12,10,7,8,3,4,2,1,6,5,9,11]=>[2,4,8,3,6,1,10,7,5,12,9,11]
[11,12,7,8,3,4,2,1,6,5,10,9]=>[2,4,8,3,6,1,12,7,10,5,11,9]
[12,9,7,10,3,4,2,1,6,8,5,11]=>[2,4,10,3,8,1,9,6,12,7,5,11]
[11,9,7,12,3,4,2,1,6,8,10,5]=>[2,4,12,3,10,1,9,6,11,8,7,5]
[10,11,7,12,3,4,2,1,6,9,8,5]=>[2,4,12,3,8,1,9,11,6,10,5,7]
[12,8,9,10,3,4,2,1,7,6,5,11]=>[2,4,10,3,6,7,1,12,8,9,5,11]
[11,8,9,12,3,4,2,1,7,6,10,5]=>[2,4,12,3,10,7,1,11,8,6,9,5]
[10,8,11,12,3,4,2,1,7,9,6,5]=>[2,4,12,3,6,9,1,10,7,8,11,5]
[9,10,11,12,3,4,2,1,8,7,6,5]=>[2,4,12,3,6,7,8,1,9,10,11,5]
[12,10,8,5,3,6,2,4,1,7,9,11]=>[4,6,5,2,8,3,1,10,7,12,9,11]
[11,12,8,5,3,6,2,4,1,7,10,9]=>[4,6,5,2,8,3,1,12,10,7,11,9]
[12,9,10,5,3,6,2,4,1,8,7,11]=>[4,6,5,2,10,3,8,1,12,9,7,11]
[11,9,12,5,3,6,2,4,1,8,10,7]=>[4,6,5,2,12,3,10,1,11,8,9,7]
[10,11,12,5,3,6,2,4,1,9,8,7]=>[4,6,5,2,12,3,8,9,1,10,11,7]
[12,10,7,5,3,8,2,4,6,1,9,11]=>[6,8,5,2,7,4,10,3,1,12,9,11]
[11,12,7,5,3,8,2,4,6,1,10,9]=>[6,8,5,2,7,4,12,3,10,1,11,9]
[12,9,7,5,3,10,2,4,6,8,1,11]=>[8,10,5,2,7,4,9,6,12,3,1,11]
[11,9,7,5,3,12,2,4,6,8,10,1]=>[10,12,5,2,7,4,9,6,11,8,3,1]
[10,11,7,5,3,12,2,4,6,9,8,1]=>[8,9,5,3,7,4,12,11,6,10,1,2]
[12,8,9,5,3,10,2,4,7,6,1,11]=>[6,7,5,3,10,9,4,12,8,1,2,11]
[11,8,9,5,3,12,2,4,7,6,10,1]=>[10,12,5,2,9,7,4,11,8,6,3,1]
[10,8,11,5,3,12,2,4,7,9,6,1]=>[6,9,5,3,12,11,4,10,7,8,1,2]
[9,10,11,5,3,12,2,4,8,7,6,1]=>[6,7,5,1,8,12,11,4,9,10,2,3]
[12,10,6,7,3,8,2,5,4,1,9,11]=>[4,5,8,7,3,10,6,1,2,12,9,11]
[11,12,6,7,3,8,2,5,4,1,10,9]=>[4,5,8,7,3,12,6,1,10,2,11,9]
[12,9,6,7,3,10,2,5,4,8,1,11]=>[8,10,7,5,2,9,6,4,12,3,1,11]
[11,9,6,7,3,12,2,5,4,8,10,1]=>[10,12,7,5,2,9,6,4,11,8,3,1]
[10,11,6,7,3,12,2,5,4,9,8,1]=>[8,9,7,5,1,12,4,11,6,10,3,2]
[12,8,6,9,3,10,2,5,7,4,1,11]=>[4,7,10,9,3,8,5,12,6,1,2,11]
[11,8,6,9,3,12,2,5,7,4,10,1]=>[10,12,9,7,2,8,5,11,6,4,3,1]
[10,8,6,11,3,12,2,5,7,9,4,1]=>[4,9,12,11,3,8,5,10,7,6,1,2]
[9,10,6,11,3,12,2,5,8,7,4,1]=>[4,7,8,12,1,11,10,5,9,2,6,3]
[12,7,8,9,3,10,2,6,5,4,1,11]=>[4,5,6,10,9,1,12,7,8,2,3,11]
[11,7,8,9,3,12,2,6,5,4,10,1]=>[10,12,9,5,6,2,11,7,8,4,3,1]
[10,7,8,11,3,12,2,6,5,9,4,1]=>[4,9,12,11,6,3,10,7,5,8,1,2]
[9,7,10,11,3,12,2,6,8,5,4,1]=>[4,5,8,12,11,1,9,6,7,10,2,3]
[8,9,10,11,3,12,2,7,6,5,4,1]=>[4,5,6,7,12,11,2,8,9,10,3,1]
[12,10,8,4,5,6,3,2,1,7,9,11]=>[2,3,6,8,4,5,1,10,7,12,9,11]
[11,12,8,4,5,6,3,2,1,7,10,9]=>[2,3,6,8,4,5,1,12,10,7,11,9]
[12,9,10,4,5,6,3,2,1,8,7,11]=>[2,3,6,10,4,5,8,1,12,9,7,11]
[11,9,12,4,5,6,3,2,1,8,10,7]=>[2,3,6,12,4,5,10,1,11,8,9,7]
[10,11,12,4,5,6,3,2,1,9,8,7]=>[2,3,6,12,4,5,8,9,1,10,11,7]
[12,10,7,4,5,8,3,2,6,1,9,11]=>[6,3,8,7,4,2,10,5,1,12,9,11]
[11,12,7,4,5,8,3,2,6,1,10,9]=>[6,3,8,7,4,2,12,5,10,1,11,9]
[12,9,7,4,5,10,3,2,6,8,1,11]=>[8,3,10,7,4,2,9,6,12,5,1,11]
[11,9,7,4,5,12,3,2,6,8,10,1]=>[10,3,12,7,4,2,9,6,11,8,5,1]
[10,11,7,4,5,12,3,2,6,9,8,1]=>[8,3,9,7,1,4,12,11,6,10,5,2]
[12,8,9,4,5,10,3,2,7,6,1,11]=>[6,3,7,10,1,9,4,12,8,5,2,11]
[11,8,9,4,5,12,3,2,7,6,10,1]=>[10,3,12,9,4,7,2,11,8,6,5,1]
[10,8,11,4,5,12,3,2,7,9,6,1]=>[6,3,9,12,1,11,4,10,7,8,5,2]
[9,10,11,4,5,12,3,2,8,7,6,1]=>[6,3,7,8,2,12,11,1,9,10,5,4]
[12,10,6,4,7,8,3,5,2,1,9,11]=>[2,5,8,6,3,10,4,7,1,12,9,11]
[11,12,6,4,7,8,3,5,2,1,10,9]=>[2,5,8,6,3,12,4,7,10,1,11,9]
[12,9,6,4,7,10,3,5,2,8,1,11]=>[8,5,10,6,3,9,4,2,12,7,1,11]
[11,9,6,4,7,12,3,5,2,8,10,1]=>[10,5,12,6,3,9,4,2,11,8,7,1]
[10,11,6,4,7,12,3,5,2,9,8,1]=>[8,5,9,6,4,12,1,11,2,10,7,3]
[12,8,6,4,9,10,3,5,7,2,1,11]=>[2,7,10,6,3,8,5,12,4,9,1,11]
[11,8,6,4,9,12,3,5,7,2,10,1]=>[10,7,12,6,3,8,5,11,4,2,9,1]
[10,8,6,4,11,12,3,5,7,9,2,1]=>[2,9,12,6,3,8,5,10,7,4,11,1]
[9,10,6,4,11,12,3,5,8,7,2,1]=>[2,7,8,6,4,12,10,5,9,1,11,3]
[12,7,8,4,9,10,3,6,5,2,1,11]=>[2,5,6,10,8,4,12,7,1,9,3,11]
[11,7,8,4,9,12,3,6,5,2,10,1]=>[10,5,6,12,8,4,11,7,2,3,9,1]
[10,7,8,4,11,12,3,6,5,9,2,1]=>[2,9,12,8,6,3,10,7,5,4,11,1]
[9,7,10,4,11,12,3,6,8,5,2,1]=>[2,5,8,12,10,4,9,6,7,1,11,3]
[8,9,10,4,11,12,3,7,6,5,2,1]=>[2,5,6,7,12,10,1,8,9,3,11,4]
[12,10,5,6,7,8,4,3,2,1,9,11]=>[2,3,4,8,10,5,6,7,1,12,9,11]
[11,12,5,6,7,8,4,3,2,1,10,9]=>[2,3,4,8,12,5,6,7,10,1,11,9]
[12,9,5,6,7,10,4,3,2,8,1,11]=>[8,3,4,10,9,5,6,2,12,7,1,11]
[11,9,5,6,7,12,4,3,2,8,10,1]=>[10,3,4,12,9,5,6,2,11,8,7,1]
[10,11,5,6,7,12,4,3,2,9,8,1]=>[8,3,4,9,12,1,6,11,5,10,7,2]
[12,8,5,6,9,10,4,3,7,2,1,11]=>[2,7,4,10,8,5,3,12,6,9,1,11]
[11,8,5,6,9,12,4,3,7,2,10,1]=>[10,7,4,12,8,5,3,11,6,2,9,1]
[10,8,5,6,11,12,4,3,7,9,2,1]=>[2,9,4,12,8,5,3,10,7,6,11,1]
[9,10,5,6,11,12,4,3,8,7,2,1]=>[2,7,4,8,12,1,10,5,9,6,11,3]
[12,7,5,8,9,10,4,6,3,2,1,11]=>[2,3,6,10,7,4,12,5,8,9,1,11]
[11,7,5,8,9,12,4,6,3,2,10,1]=>[10,3,6,12,7,4,11,5,8,2,9,1]
[10,7,5,8,11,12,4,6,3,9,2,1]=>[2,9,6,12,7,4,10,5,3,8,11,1]
[9,7,5,10,11,12,4,6,8,3,2,1]=>[2,3,8,12,7,4,9,6,5,10,11,1]
[8,9,5,10,11,12,4,7,6,3,2,1]=>[2,3,6,7,12,9,5,8,1,10,11,4]
[12,6,7,8,9,10,5,4,3,2,1,11]=>[2,3,4,5,10,12,6,7,8,9,1,11]
[11,6,7,8,9,12,5,4,3,2,10,1]=>[10,3,4,5,12,11,6,7,8,2,9,1]
[10,6,7,8,11,12,5,4,3,9,2,1]=>[2,9,4,5,12,10,6,7,3,8,11,1]
[9,6,7,10,11,12,5,4,8,3,2,1]=>[2,3,8,5,12,9,6,4,7,10,11,1]
[8,6,9,10,11,12,5,7,4,3,2,1]=>[2,3,4,7,12,8,5,6,9,10,11,1]
[2,3,4,5,6,7,8,9,12,11,1,10]=>[11,2,3,4,5,6,7,8,9,1,12,10]
[4,3,1,5,6,7,8,9,10,11,12,2]=>[3,4,12,2,5,6,7,8,9,10,11,1]
[12,3,4,5,6,7,8,9,11,1,2,10]=>[11,1,12,3,4,5,6,7,8,2,9,10]
[12,4,1,5,6,7,8,9,10,11,2,3]=>[4,12,1,11,2,5,6,7,8,9,10,3]
[12,11,10,8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,10,7,11,12,9]
[12,10,9,8,6,4,2,1,3,5,7,11]=>[2,4,1,6,3,8,5,9,10,12,7,11]
[12,9,11,8,6,4,2,1,3,5,10,7]=>[2,4,1,6,3,8,11,10,12,7,9,5]
[12,11,10,9,8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,9,10,11,12,7]
[12,10,8,7,6,4,2,1,3,5,9,11]=>[2,4,1,6,3,7,8,10,5,12,9,11]
[12,11,10,8,7,6,4,2,1,3,5,9]=>[2,4,1,6,3,7,8,10,5,11,12,9]
[12,10,7,9,6,4,2,1,3,8,5,11]=>[2,4,1,6,9,8,10,5,7,12,3,11]
[12,7,11,9,6,4,2,1,3,8,10,5]=>[2,4,1,6,9,11,10,3,12,8,5,7]
[12,11,10,7,9,6,4,2,1,3,8,5]=>[2,4,1,6,9,8,10,5,7,11,12,3]
[12,10,9,8,7,6,4,2,1,3,5,11]=>[2,4,1,6,3,7,8,9,10,12,5,11]
[12,9,11,8,7,6,4,2,1,3,10,5]=>[2,4,1,6,7,8,11,10,12,5,9,3]
[12,8,11,10,7,9,4,2,1,3,6,5]=>[2,4,1,9,6,3,10,11,8,12,7,5]
[12,11,10,9,8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,9,10,11,12,5]
[12,10,8,6,5,4,2,1,3,7,9,11]=>[2,4,1,5,6,8,3,10,7,12,9,11]
[12,11,10,8,6,5,4,2,1,3,7,9]=>[2,4,1,5,6,8,3,10,7,11,12,9]
[12,10,9,8,6,5,4,2,1,3,7,11]=>[2,4,1,5,6,8,3,9,10,12,7,11]
[12,9,11,8,6,5,4,2,1,3,10,7]=>[2,4,1,5,6,8,11,10,12,7,9,3]
[12,11,10,9,8,6,5,4,2,1,3,7]=>[2,4,1,5,6,8,3,9,10,11,12,7]
[12,10,8,5,7,4,2,1,6,3,9,11]=>[2,4,7,6,8,3,5,10,1,12,9,11]
[12,11,10,8,5,7,4,2,1,6,3,9]=>[2,4,7,6,8,3,5,10,1,11,12,9]
[12,10,5,9,7,4,2,1,6,8,3,11]=>[2,4,7,9,8,1,10,6,3,12,5,11]
[12,5,11,9,7,4,2,1,6,8,10,3]=>[2,4,7,9,11,5,10,6,12,8,1,3]
[12,11,10,5,9,7,4,2,1,6,8,3]=>[2,4,7,9,8,1,10,6,3,11,12,5]
[12,10,9,8,5,7,4,2,1,6,3,11]=>[2,4,7,6,8,3,5,9,10,12,1,11]
[12,9,11,8,5,7,4,2,1,6,10,3]=>[2,4,7,10,8,3,5,11,12,6,9,1]
[12,11,5,10,8,7,4,2,1,9,6,3]=>[2,4,7,6,8,10,9,11,1,5,12,3]
[12,11,10,9,8,5,7,4,2,1,6,3]=>[2,4,7,6,8,3,5,9,10,11,12,1]
[12,10,8,7,6,5,4,2,1,3,9,11]=>[2,4,1,5,6,7,8,10,3,12,9,11]
[12,11,10,8,7,6,5,4,2,1,3,9]=>[2,4,1,5,6,7,8,10,3,11,12,9]
[12,10,7,9,6,5,4,2,1,8,3,11]=>[2,4,5,6,9,8,10,3,7,12,1,11]
[12,7,11,9,6,5,4,2,1,8,10,3]=>[2,4,5,6,9,11,10,1,12,8,3,7]
[12,11,10,7,9,6,5,4,2,1,8,3]=>[2,4,5,6,9,8,10,3,7,11,12,1]
[12,10,6,9,8,5,7,2,1,4,3,11]=>[2,7,4,1,8,9,6,10,5,12,3,11]
[12,6,11,9,8,5,7,2,1,4,10,3]=>[2,7,10,1,8,9,5,11,12,4,6,3]
[12,6,11,8,10,5,7,2,1,9,4,3]=>[2,7,4,9,10,12,5,11,1,8,6,3]
[12,11,10,6,9,8,5,7,2,1,4,3]=>[2,7,4,1,8,9,6,10,5,11,12,3]
[12,10,9,8,7,6,5,4,2,1,3,11]=>[2,4,1,5,6,7,8,9,10,12,3,11]
[12,9,11,8,7,6,5,4,2,1,10,3]=>[2,4,5,6,7,8,11,10,12,3,9,1]
[12,8,11,10,7,6,5,9,2,1,4,3]=>[2,9,4,1,6,7,10,11,8,12,5,3]
[12,7,11,10,9,6,8,5,2,1,4,3]=>[2,5,4,1,8,9,10,6,11,12,7,3]
[12,11,10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,11,12,3]
[12,10,8,6,4,3,2,1,5,7,9,11]=>[2,3,4,6,1,8,5,10,7,12,9,11]
[12,11,10,8,6,4,3,2,1,5,7,9]=>[2,3,4,6,1,8,5,10,7,11,12,9]
[12,10,9,8,6,4,3,2,1,5,7,11]=>[2,3,4,6,1,8,5,9,10,12,7,11]
[12,9,11,8,6,4,3,2,1,5,10,7]=>[2,3,4,6,1,8,11,10,12,7,9,5]
[12,11,10,9,8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,9,10,11,12,7]
[12,10,8,7,6,4,3,2,1,5,9,11]=>[2,3,4,6,1,7,8,10,5,12,9,11]
[12,11,10,8,7,6,4,3,2,1,5,9]=>[2,3,4,6,1,7,8,10,5,11,12,9]
[12,10,7,9,6,4,3,2,1,8,5,11]=>[2,3,4,6,9,8,10,5,7,12,1,11]
[12,7,11,9,6,4,3,2,1,8,10,5]=>[2,3,4,6,9,11,10,1,12,8,5,7]
[12,11,10,7,9,6,4,3,2,1,8,5]=>[2,3,4,6,9,8,10,5,7,11,12,1]
[12,10,9,8,7,6,4,3,2,1,5,11]=>[2,3,4,6,1,7,8,9,10,12,5,11]
[12,9,11,8,7,6,4,3,2,1,10,5]=>[2,3,4,6,7,8,11,10,12,5,9,1]
[12,8,11,10,7,9,4,3,2,1,6,5]=>[2,3,4,9,6,1,10,11,8,12,7,5]
[12,11,10,9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,10,11,12,5]
[12,10,8,6,3,5,2,4,1,7,9,11]=>[4,5,6,2,3,8,1,10,7,12,9,11]
[12,11,10,8,6,3,5,2,4,1,7,9]=>[4,5,6,2,3,8,1,10,7,11,12,9]
[12,10,9,8,6,3,5,2,4,1,7,11]=>[4,5,6,2,3,8,1,9,10,12,7,11]
[12,9,11,8,6,3,5,2,4,1,10,7]=>[4,5,6,2,3,8,11,10,12,7,9,1]
[12,11,10,9,8,6,3,5,2,4,1,7]=>[4,5,6,2,3,8,1,9,10,11,12,7]
[12,10,8,3,7,5,2,4,6,1,9,11]=>[6,5,7,3,8,4,2,10,1,12,9,11]
[12,11,10,8,3,7,5,2,4,6,1,9]=>[6,5,7,3,8,4,2,10,1,11,12,9]
[12,10,3,9,7,5,2,4,6,8,1,11]=>[8,5,7,2,9,4,10,6,3,12,1,11]
[12,3,11,9,7,5,2,4,6,8,10,1]=>[10,5,7,3,9,4,11,6,12,8,2,1]
[12,11,10,3,9,7,5,2,4,6,8,1]=>[8,5,7,2,9,4,10,6,3,11,12,1]
[12,10,9,8,3,7,5,2,4,6,1,11]=>[6,5,7,3,8,4,2,9,10,12,1,11]
[12,9,11,8,3,7,5,2,4,6,10,1]=>[10,5,7,3,8,4,2,11,12,6,9,1]
[12,11,3,10,8,7,5,2,4,9,6,1]=>[6,5,9,2,7,8,10,11,4,1,12,3]
[12,11,10,9,8,3,7,5,2,4,6,1]=>[6,5,7,3,8,4,2,9,10,11,12,1]
[12,10,8,7,6,3,5,2,4,1,9,11]=>[4,5,6,2,3,7,8,10,1,12,9,11]
[12,11,10,8,7,6,3,5,2,4,1,9]=>[4,5,6,2,3,7,8,10,1,11,12,9]
[12,10,7,9,6,3,5,2,4,8,1,11]=>[8,5,6,2,3,9,10,4,7,12,1,11]
[12,7,11,9,6,3,5,2,4,8,10,1]=>[10,5,6,2,3,9,11,7,12,8,4,1]
[12,11,10,7,9,6,3,5,2,4,8,1]=>[8,5,6,2,3,9,10,4,7,11,12,1]
[12,10,9,3,8,6,5,2,7,4,1,11]=>[4,7,5,6,8,9,3,1,10,12,2,11]
[12,9,11,3,8,6,5,2,7,4,10,1]=>[10,5,6,8,11,7,4,2,12,3,9,1]
[12,11,3,8,10,6,5,2,7,9,4,1]=>[4,9,5,6,10,11,3,1,7,8,12,2]
[12,11,10,9,3,8,6,5,2,7,4,1]=>[4,7,5,6,8,9,3,1,10,11,12,2]
[12,10,9,8,7,6,3,5,2,4,1,11]=>[4,5,6,2,3,7,8,9,10,12,1,11]
[12,9,11,8,7,6,3,5,2,4,10,1]=>[10,5,6,2,3,7,8,11,12,4,9,1]
[12,8,11,10,7,6,3,5,2,9,4,1]=>[4,9,5,6,1,7,10,11,8,12,3,2]
[12,11,10,3,9,7,6,8,2,5,4,1]=>[4,5,8,10,3,7,9,6,1,11,12,2]
[12,11,10,9,8,7,6,3,5,2,4,1]=>[4,5,6,2,3,7,8,9,10,11,12,1]
[12,10,8,6,5,4,3,2,1,7,9,11]=>[2,3,4,5,6,8,1,10,7,12,9,11]
[12,11,10,8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,10,7,11,12,9]
[12,10,9,8,6,5,4,3,2,1,7,11]=>[2,3,4,5,6,8,1,9,10,12,7,11]
[12,9,11,8,6,5,4,3,2,1,10,7]=>[2,3,4,5,6,8,11,10,12,7,9,1]
[12,11,10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,11,12,7]
[12,10,8,5,7,4,3,2,6,1,9,11]=>[6,3,4,7,8,2,5,10,1,12,9,11]
[12,11,10,8,5,7,4,3,2,6,1,9]=>[6,3,4,7,8,2,5,10,1,11,12,9]
[12,10,5,9,7,4,3,2,6,8,1,11]=>[8,3,4,7,9,5,10,6,2,12,1,11]
[12,5,11,9,7,4,3,2,6,8,10,1]=>[10,3,4,7,9,2,11,6,12,8,5,1]
[12,11,10,5,9,7,4,3,2,6,8,1]=>[8,3,4,7,9,5,10,6,2,11,12,1]
[12,10,9,8,5,7,4,3,2,6,1,11]=>[6,3,4,7,8,2,5,9,10,12,1,11]
[12,9,11,8,5,7,4,3,2,6,10,1]=>[10,3,4,7,8,2,5,11,12,6,9,1]
[12,11,5,10,8,7,4,3,2,9,6,1]=>[6,3,4,9,7,8,10,11,5,1,12,2]
[12,11,10,9,8,5,7,4,3,2,6,1]=>[6,3,4,7,8,2,5,9,10,11,12,1]
[12,10,8,4,7,6,3,5,2,1,9,11]=>[2,5,6,7,4,8,3,10,1,12,9,11]
[12,11,10,8,4,7,6,3,5,2,1,9]=>[2,5,6,7,4,8,3,10,1,11,12,9]
[12,10,4,9,7,6,3,5,2,8,1,11]=>[8,5,6,7,3,9,10,2,4,12,1,11]
[12,4,11,9,7,6,3,5,2,8,10,1]=>[10,5,6,7,4,9,11,2,12,8,3,1]
[12,11,10,4,9,7,6,3,5,2,8,1]=>[8,5,6,7,3,9,10,2,4,11,12,1]
[12,10,4,9,6,8,3,5,7,2,1,11]=>[2,7,8,10,3,9,5,6,4,12,1,11]
[12,4,11,9,6,8,3,5,7,2,10,1]=>[10,7,8,12,3,9,5,6,11,2,4,1]
[12,4,11,6,10,8,3,5,7,9,2,1]=>[2,9,8,10,4,12,5,11,7,3,6,1]
[12,11,10,4,9,6,8,3,5,7,2,1]=>[2,7,8,10,3,9,5,6,4,11,12,1]
[12,10,9,8,4,7,6,3,5,2,1,11]=>[2,5,6,7,4,8,3,9,10,12,1,11]
[12,9,11,8,4,7,6,3,5,2,10,1]=>[10,5,6,7,4,8,3,11,12,2,9,1]
[12,8,11,10,4,7,6,3,5,9,2,1]=>[2,9,6,7,4,10,3,11,8,12,5,1]
[12,11,4,10,7,9,6,3,8,5,2,1]=>[2,5,8,6,9,11,10,1,7,4,12,3]
[12,11,10,9,8,4,7,6,3,5,2,1]=>[2,5,6,7,4,8,3,9,10,11,12,1]
[12,10,8,7,6,5,4,3,2,1,9,11]=>[2,3,4,5,6,7,8,10,1,12,9,11]
[12,11,10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,11,12,9]
[12,10,7,9,6,5,4,3,2,8,1,11]=>[8,3,4,5,6,9,10,2,7,12,1,11]
[12,7,11,9,6,5,4,3,2,8,10,1]=>[10,3,4,5,6,9,11,7,12,8,2,1]
[12,11,10,7,9,6,5,4,3,2,8,1]=>[8,3,4,5,6,9,10,2,7,11,12,1]
[12,10,6,9,8,5,4,3,7,2,1,11]=>[2,7,4,5,8,9,6,10,3,12,1,11]
[12,6,11,9,8,5,4,3,7,2,10,1]=>[10,7,4,5,8,9,3,11,12,2,6,1]
[12,6,11,8,10,5,4,3,7,9,2,1]=>[2,9,4,5,10,12,3,11,7,8,6,1]
[12,11,10,6,9,8,5,4,3,7,2,1]=>[2,7,4,5,8,9,6,10,3,11,12,1]
[12,10,5,9,8,7,4,6,3,2,1,11]=>[2,3,6,7,8,4,9,10,5,12,1,11]
[12,5,11,9,8,7,4,6,3,2,10,1]=>[10,3,6,7,8,5,9,11,12,2,4,1]
[12,5,11,8,10,7,4,6,3,9,2,1]=>[2,9,6,7,10,5,12,11,3,8,4,1]
[12,5,11,7,10,9,4,6,8,3,2,1]=>[2,3,8,9,10,5,12,6,11,4,7,1]
[12,11,10,5,9,8,7,4,6,3,2,1]=>[2,3,6,7,8,4,9,10,5,11,12,1]
[12,9,11,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,11,12,2,9,1]
[12,8,11,10,7,6,5,4,3,9,2,1]=>[2,9,4,5,6,7,10,11,8,12,3,1]
[12,7,11,10,9,6,5,4,8,3,2,1]=>[2,3,8,5,6,9,10,4,11,12,7,1]
[12,6,11,10,9,8,5,7,4,3,2,1]=>[2,3,4,7,8,9,6,10,11,12,5,1]
[12,2,1,10,4,3,8,6,5,7,9,11]=>[2,12,4,10,6,8,5,3,7,1,9,11]
[12,2,1,11,4,3,8,6,5,7,9,10]=>[2,12,4,11,6,8,5,3,7,9,1,10]
[12,2,1,10,4,3,9,6,5,7,8,11]=>[2,12,4,10,6,9,5,7,3,1,8,11]
[12,2,1,11,4,3,9,6,5,7,8,10]=>[2,12,4,11,6,9,5,7,3,8,1,10]
[12,2,1,11,4,3,10,6,5,7,8,9]=>[2,12,4,11,6,10,5,7,8,3,1,9]
[12,2,1,10,4,3,8,5,7,6,9,11]=>[2,12,4,10,8,7,5,3,6,1,9,11]
[12,2,1,11,4,3,8,5,7,6,9,10]=>[2,12,4,11,8,7,5,3,6,9,1,10]
[12,2,1,10,4,3,9,5,7,6,8,11]=>[2,12,4,10,9,7,5,6,3,1,8,11]
[12,2,1,11,4,3,9,5,7,6,8,10]=>[2,12,4,11,9,7,5,6,3,8,1,10]
[12,2,1,11,4,3,10,5,7,6,8,9]=>[2,12,4,11,10,7,5,6,8,3,1,9]
[12,2,1,10,4,3,9,5,8,6,7,11]=>[2,12,4,10,9,8,6,5,3,1,7,11]
[12,2,1,11,4,3,9,5,8,6,7,10]=>[2,12,4,11,9,8,6,5,3,7,1,10]
[12,2,1,11,4,3,10,5,8,6,7,9]=>[2,12,4,11,10,8,6,5,7,3,1,9]
[12,2,1,11,4,3,10,5,9,6,7,8]=>[2,12,4,11,10,9,6,7,5,3,1,8]
[12,2,1,10,3,8,6,5,4,7,9,11]=>[2,12,10,5,6,8,4,3,7,1,9,11]
[12,2,1,11,3,8,6,5,4,7,9,10]=>[2,12,11,5,6,8,4,3,7,9,1,10]
[12,2,1,10,3,9,6,5,4,7,8,11]=>[2,12,10,5,6,9,4,7,3,1,8,11]
[12,2,1,11,3,9,6,5,4,7,8,10]=>[2,12,11,5,6,9,4,7,3,8,1,10]
[12,2,1,11,3,10,6,5,4,7,8,9]=>[2,12,11,5,6,10,4,7,8,3,1,9]
[12,2,1,10,3,8,5,4,7,6,9,11]=>[2,12,10,5,8,7,4,3,6,1,9,11]
[12,2,1,11,3,8,5,4,7,6,9,10]=>[2,12,11,5,8,7,4,3,6,9,1,10]
[12,2,1,10,3,9,5,4,7,6,8,11]=>[2,12,10,5,9,7,4,6,3,1,8,11]
[12,2,1,11,3,9,5,4,7,6,8,10]=>[2,12,11,5,9,7,4,6,3,8,1,10]
[12,2,1,11,3,10,5,4,7,6,8,9]=>[2,12,11,5,10,7,4,6,8,3,1,9]
[12,2,1,10,3,9,5,4,8,6,7,11]=>[2,12,10,5,9,8,6,4,3,1,7,11]
[12,2,1,11,3,9,5,4,8,6,7,10]=>[2,12,11,5,9,8,6,4,3,7,1,10]
[12,2,1,11,3,10,5,4,8,6,7,9]=>[2,12,11,5,10,8,6,4,7,3,1,9]
[12,2,1,11,3,10,5,4,9,6,7,8]=>[2,12,11,5,10,9,6,7,4,3,1,8]
[12,2,1,10,3,8,4,7,6,5,9,11]=>[2,12,10,8,6,7,4,3,5,1,9,11]
[12,2,1,11,3,8,4,7,6,5,9,10]=>[2,12,11,8,6,7,4,3,5,9,1,10]
[12,2,1,10,3,9,4,7,6,5,8,11]=>[2,12,10,9,6,7,4,5,3,1,8,11]
[12,2,1,11,3,9,4,7,6,5,8,10]=>[2,12,11,9,6,7,4,5,3,8,1,10]
[12,2,1,11,3,10,4,7,6,5,8,9]=>[2,12,11,10,6,7,4,5,8,3,1,9]
[12,2,1,10,3,9,4,8,6,5,7,11]=>[2,12,10,9,6,8,5,4,3,1,7,11]
[12,2,1,11,3,9,4,8,6,5,7,10]=>[2,12,11,9,6,8,5,4,3,7,1,10]
[12,2,1,11,3,10,4,8,6,5,7,9]=>[2,12,11,10,6,8,5,4,7,3,1,9]
[12,2,1,11,3,10,4,9,6,5,7,8]=>[2,12,11,10,6,9,5,7,4,3,1,8]
[12,2,1,10,3,9,4,8,5,7,6,11]=>[2,12,10,9,8,7,5,4,3,1,6,11]
[12,2,1,11,3,9,4,8,5,7,6,10]=>[2,12,11,9,8,7,5,4,3,6,1,10]
[12,2,1,11,3,10,4,8,5,7,6,9]=>[2,12,11,10,8,7,5,4,6,3,1,9]
[12,2,1,11,3,10,4,9,5,7,6,8]=>[2,12,11,10,9,7,5,6,4,3,1,8]
[12,2,1,11,3,10,4,9,5,8,6,7]=>[2,12,11,10,9,8,6,5,4,3,1,7]
[12,1,10,4,3,2,8,6,5,7,9,11]=>[12,3,4,10,6,8,5,2,7,1,9,11]
[12,1,11,4,3,2,8,6,5,7,9,10]=>[12,3,4,11,6,8,5,2,7,9,1,10]
[12,1,10,4,3,2,9,6,5,7,8,11]=>[12,3,4,10,6,9,5,7,2,1,8,11]
[12,1,11,4,3,2,9,6,5,7,8,10]=>[12,3,4,11,6,9,5,7,2,8,1,10]
[12,1,11,4,3,2,10,6,5,7,8,9]=>[12,3,4,11,6,10,5,7,8,2,1,9]
[12,1,10,4,3,2,8,5,7,6,9,11]=>[12,3,4,10,8,7,5,2,6,1,9,11]
[12,1,11,4,3,2,8,5,7,6,9,10]=>[12,3,4,11,8,7,5,2,6,9,1,10]
[12,1,10,4,3,2,9,5,7,6,8,11]=>[12,3,4,10,9,7,5,6,2,1,8,11]
[12,1,11,4,3,2,9,5,7,6,8,10]=>[12,3,4,11,9,7,5,6,2,8,1,10]
[12,1,11,4,3,2,10,5,7,6,8,9]=>[12,3,4,11,10,7,5,6,8,2,1,9]
[12,1,10,4,3,2,9,5,8,6,7,11]=>[12,3,4,10,9,8,6,5,2,1,7,11]
[12,1,11,4,3,2,9,5,8,6,7,10]=>[12,3,4,11,9,8,6,5,2,7,1,10]
[12,1,11,4,3,2,10,5,8,6,7,9]=>[12,3,4,11,10,8,6,5,7,2,1,9]
[12,1,11,4,3,2,10,5,9,6,7,8]=>[12,3,4,11,10,9,6,7,5,2,1,8]
[12,1,10,3,2,8,6,5,4,7,9,11]=>[12,3,10,5,6,8,4,2,7,1,9,11]
[12,1,11,3,2,8,6,5,4,7,9,10]=>[12,3,11,5,6,8,4,2,7,9,1,10]
[12,1,10,3,2,9,6,5,4,7,8,11]=>[12,3,10,5,6,9,4,7,2,1,8,11]
[12,1,11,3,2,9,6,5,4,7,8,10]=>[12,3,11,5,6,9,4,7,2,8,1,10]
[12,1,11,3,2,10,6,5,4,7,8,9]=>[12,3,11,5,6,10,4,7,8,2,1,9]
[12,1,10,3,2,8,5,4,7,6,9,11]=>[12,3,10,5,8,7,4,2,6,1,9,11]
[12,1,11,3,2,8,5,4,7,6,9,10]=>[12,3,11,5,8,7,4,2,6,9,1,10]
[12,1,10,3,2,9,5,4,7,6,8,11]=>[12,3,10,5,9,7,4,6,2,1,8,11]
[12,1,11,3,2,9,5,4,7,6,8,10]=>[12,3,11,5,9,7,4,6,2,8,1,10]
[12,1,11,3,2,10,5,4,7,6,8,9]=>[12,3,11,5,10,7,4,6,8,2,1,9]
[12,1,10,3,2,9,5,4,8,6,7,11]=>[12,3,10,5,9,8,6,4,2,1,7,11]
[12,1,11,3,2,9,5,4,8,6,7,10]=>[12,3,11,5,9,8,6,4,2,7,1,10]
[12,1,11,3,2,10,5,4,8,6,7,9]=>[12,3,11,5,10,8,6,4,7,2,1,9]
[12,1,11,3,2,10,5,4,9,6,7,8]=>[12,3,11,5,10,9,6,7,4,2,1,8]
[12,1,10,3,2,8,4,7,6,5,9,11]=>[12,3,10,8,6,7,4,2,5,1,9,11]
[12,1,11,3,2,8,4,7,6,5,9,10]=>[12,3,11,8,6,7,4,2,5,9,1,10]
[12,1,10,3,2,9,4,7,6,5,8,11]=>[12,3,10,9,6,7,4,5,2,1,8,11]
[12,1,11,3,2,9,4,7,6,5,8,10]=>[12,3,11,9,6,7,4,5,2,8,1,10]
[12,1,11,3,2,10,4,7,6,5,8,9]=>[12,3,11,10,6,7,4,5,8,2,1,9]
[12,1,10,3,2,9,4,8,6,5,7,11]=>[12,3,10,9,6,8,5,4,2,1,7,11]
[12,1,11,3,2,9,4,8,6,5,7,10]=>[12,3,11,9,6,8,5,4,2,7,1,10]
[12,1,11,3,2,10,4,8,6,5,7,9]=>[12,3,11,10,6,8,5,4,7,2,1,9]
[12,1,11,3,2,10,4,9,6,5,7,8]=>[12,3,11,10,6,9,5,7,4,2,1,8]
[12,1,10,3,2,9,4,8,5,7,6,11]=>[12,3,10,9,8,7,5,4,2,1,6,11]
[12,1,11,3,2,9,4,8,5,7,6,10]=>[12,3,11,9,8,7,5,4,2,6,1,10]
[12,1,11,3,2,10,4,8,5,7,6,9]=>[12,3,11,10,8,7,5,4,6,2,1,9]
[12,1,11,3,2,10,4,9,5,7,6,8]=>[12,3,11,10,9,7,5,6,4,2,1,8]
[12,1,11,3,2,10,4,9,5,8,6,7]=>[12,3,11,10,9,8,6,5,4,2,1,7]
[12,1,10,2,8,6,5,4,3,7,9,11]=>[12,10,4,5,6,8,3,2,7,1,9,11]
[12,1,11,2,8,6,5,4,3,7,9,10]=>[12,11,4,5,6,8,3,2,7,9,1,10]
[12,1,10,2,9,6,5,4,3,7,8,11]=>[12,10,4,5,6,9,3,7,2,1,8,11]
[12,1,11,2,9,6,5,4,3,7,8,10]=>[12,11,4,5,6,9,3,7,2,8,1,10]
[12,1,11,2,10,6,5,4,3,7,8,9]=>[12,11,4,5,6,10,3,7,8,2,1,9]
[12,1,10,2,8,5,4,3,7,6,9,11]=>[12,10,4,5,8,7,3,2,6,1,9,11]
[12,1,11,2,8,5,4,3,7,6,9,10]=>[12,11,4,5,8,7,3,2,6,9,1,10]
[12,1,10,2,9,5,4,3,7,6,8,11]=>[12,10,4,5,9,7,3,6,2,1,8,11]
[12,1,11,2,9,5,4,3,7,6,8,10]=>[12,11,4,5,9,7,3,6,2,8,1,10]
[12,1,11,2,10,5,4,3,7,6,8,9]=>[12,11,4,5,10,7,3,6,8,2,1,9]
[12,1,10,2,9,5,4,3,8,6,7,11]=>[12,10,4,5,9,8,6,3,2,1,7,11]
[12,1,11,2,9,5,4,3,8,6,7,10]=>[12,11,4,5,9,8,6,3,2,7,1,10]
[12,1,11,2,10,5,4,3,8,6,7,9]=>[12,11,4,5,10,8,6,3,7,2,1,9]
[12,1,11,2,10,5,4,3,9,6,7,8]=>[12,11,4,5,10,9,6,7,3,2,1,8]
[12,1,10,2,8,4,3,7,6,5,9,11]=>[12,10,4,8,6,7,3,2,5,1,9,11]
[12,1,11,2,8,4,3,7,6,5,9,10]=>[12,11,4,8,6,7,3,2,5,9,1,10]
[12,1,10,2,9,4,3,7,6,5,8,11]=>[12,10,4,9,6,7,3,5,2,1,8,11]
[12,1,11,2,9,4,3,7,6,5,8,10]=>[12,11,4,9,6,7,3,5,2,8,1,10]
[12,1,11,2,10,4,3,7,6,5,8,9]=>[12,11,4,10,6,7,3,5,8,2,1,9]
[12,1,10,2,9,4,3,8,6,5,7,11]=>[12,10,4,9,6,8,5,3,2,1,7,11]
[12,1,11,2,9,4,3,8,6,5,7,10]=>[12,11,4,9,6,8,5,3,2,7,1,10]
[12,1,11,2,10,4,3,8,6,5,7,9]=>[12,11,4,10,6,8,5,3,7,2,1,9]
[12,1,11,2,10,4,3,9,6,5,7,8]=>[12,11,4,10,6,9,5,7,3,2,1,8]
[12,1,10,2,9,4,3,8,5,7,6,11]=>[12,10,4,9,8,7,5,3,2,1,6,11]
[12,1,11,2,9,4,3,8,5,7,6,10]=>[12,11,4,9,8,7,5,3,2,6,1,10]
[12,1,11,2,10,4,3,8,5,7,6,9]=>[12,11,4,10,8,7,5,3,6,2,1,9]
[12,1,11,2,10,4,3,9,5,7,6,8]=>[12,11,4,10,9,7,5,6,3,2,1,8]
[12,1,11,2,10,4,3,9,5,8,6,7]=>[12,11,4,10,9,8,6,5,3,2,1,7]
[12,1,10,2,8,3,7,6,5,4,9,11]=>[12,10,8,5,6,7,3,2,4,1,9,11]
[12,1,11,2,8,3,7,6,5,4,9,10]=>[12,11,8,5,6,7,3,2,4,9,1,10]
[12,1,10,2,9,3,7,6,5,4,8,11]=>[12,10,9,5,6,7,3,4,2,1,8,11]
[12,1,11,2,9,3,7,6,5,4,8,10]=>[12,11,9,5,6,7,3,4,2,8,1,10]
[12,1,11,2,10,3,7,6,5,4,8,9]=>[12,11,10,5,6,7,3,4,8,2,1,9]
[12,1,10,2,9,3,8,6,5,4,7,11]=>[12,10,9,5,6,8,4,3,2,1,7,11]
[12,1,11,2,9,3,8,6,5,4,7,10]=>[12,11,9,5,6,8,4,3,2,7,1,10]
[12,1,11,2,10,3,8,6,5,4,7,9]=>[12,11,10,5,6,8,4,3,7,2,1,9]
[12,1,11,2,10,3,9,6,5,4,7,8]=>[12,11,10,5,6,9,4,7,3,2,1,8]
[12,1,10,2,9,3,8,5,4,7,6,11]=>[12,10,9,5,8,7,4,3,2,1,6,11]
[12,1,11,2,9,3,8,5,4,7,6,10]=>[12,11,9,5,8,7,4,3,2,6,1,10]
[12,1,11,2,10,3,8,5,4,7,6,9]=>[12,11,10,5,8,7,4,3,6,2,1,9]
[12,1,11,2,10,3,9,5,4,7,6,8]=>[12,11,10,5,9,7,4,6,3,2,1,8]
[12,1,11,2,10,3,9,5,4,8,6,7]=>[12,11,10,5,9,8,6,4,3,2,1,7]
[12,1,10,2,9,3,8,4,7,6,5,11]=>[12,10,9,8,6,7,4,3,2,1,5,11]
[12,1,11,2,9,3,8,4,7,6,5,10]=>[12,11,9,8,6,7,4,3,2,5,1,10]
[12,1,11,2,10,3,8,4,7,6,5,9]=>[12,11,10,8,6,7,4,3,5,2,1,9]
[12,1,11,2,10,3,9,4,7,6,5,8]=>[12,11,10,9,6,7,4,5,3,2,1,8]
[12,1,11,2,10,3,9,4,8,6,5,7]=>[12,11,10,9,6,8,5,4,3,2,1,7]
[12,1,11,2,10,3,9,4,8,5,7,6]=>[12,11,10,9,8,7,5,4,3,2,1,6]
[3,2,5,4,7,6,9,8,12,1,10,11]=>[12,3,2,5,4,7,6,9,8,1,10,11]
[3,2,5,4,7,6,10,11,9,8,1,12]=>[8,3,2,5,4,7,6,9,11,10,1,12]
[3,2,5,4,7,6,10,12,9,1,8,11]=>[9,3,2,5,4,7,6,1,12,10,8,11]
[3,2,5,4,7,6,11,12,1,8,9,10]=>[12,3,2,5,4,7,6,1,8,9,11,10]
[3,2,5,4,8,9,7,6,11,10,1,12]=>[10,3,2,5,4,7,9,8,6,11,1,12]
[3,2,5,4,8,9,7,6,12,1,10,11]=>[12,3,2,5,4,7,9,8,6,1,10,11]
[3,2,5,4,8,10,7,11,9,6,1,12]=>[6,3,2,5,4,9,11,8,10,1,7,12]
[3,2,5,4,8,10,7,12,9,1,6,11]=>[9,3,2,5,4,1,12,8,10,6,7,11]
[3,2,5,4,8,11,7,12,1,6,9,10]=>[12,3,2,5,4,1,11,8,6,9,7,10]
[3,2,5,4,9,10,11,8,7,6,1,12]=>[6,3,2,5,4,7,8,11,9,10,1,12]
[3,2,5,4,9,10,12,8,7,1,6,11]=>[7,3,2,5,4,1,8,12,9,10,6,11]
[3,2,5,4,9,11,12,8,1,6,7,10]=>[8,3,2,5,4,1,6,12,9,7,11,10]
[3,2,5,4,10,11,12,1,6,7,8,9]=>[12,3,2,5,4,1,6,7,8,10,11,9]
[3,2,6,7,5,4,9,8,11,10,1,12]=>[10,3,2,5,7,6,4,9,8,11,1,12]
[3,2,6,7,5,4,9,8,12,1,10,11]=>[12,3,2,5,7,6,4,9,8,1,10,11]
[3,2,6,7,5,4,10,11,9,8,1,12]=>[8,3,2,5,7,6,4,9,11,10,1,12]
[3,2,6,7,5,4,10,12,9,1,8,11]=>[9,3,2,5,7,6,4,1,12,10,8,11]
[3,2,6,7,5,4,11,12,1,8,9,10]=>[12,3,2,5,7,6,4,1,8,9,11,10]
[3,2,6,8,5,9,7,4,11,10,1,12]=>[10,3,2,7,9,6,8,4,5,11,1,12]
[3,2,6,8,5,9,7,4,12,1,10,11]=>[12,3,2,7,9,6,8,4,5,1,10,11]
[3,2,6,8,5,10,7,11,9,4,1,12]=>[4,3,2,9,8,6,11,5,10,1,7,12]
[3,2,6,8,5,10,7,12,9,1,4,11]=>[9,3,2,1,8,6,12,5,10,4,7,11]
[3,2,6,8,5,11,7,12,1,4,9,10]=>[12,3,2,1,8,6,11,5,4,9,7,10]
[3,2,6,9,5,10,11,8,7,4,1,12]=>[4,3,2,7,8,6,11,9,5,10,1,12]
[3,2,6,9,5,10,12,8,7,1,4,11]=>[7,3,2,1,8,6,12,9,5,10,4,11]
[3,2,6,9,5,11,12,8,1,4,7,10]=>[8,3,2,1,12,6,5,9,4,7,11,10]
[3,2,6,10,5,11,12,1,4,7,8,9]=>[12,3,2,1,10,6,4,7,8,5,11,9]
[3,2,7,8,9,6,5,4,11,10,1,12]=>[10,3,2,5,6,9,7,8,4,11,1,12]
[3,2,7,8,9,6,5,4,12,1,10,11]=>[12,3,2,5,6,9,7,8,4,1,10,11]
[3,2,7,8,10,6,5,11,9,4,1,12]=>[4,3,2,9,6,11,7,8,10,1,5,12]
[3,2,7,8,10,6,5,12,9,1,4,11]=>[9,3,2,1,6,12,7,8,10,4,5,11]
[3,2,7,8,11,6,5,12,1,4,9,10]=>[12,3,2,1,6,11,7,8,4,9,5,10]
[3,2,7,9,10,6,11,8,5,4,1,12]=>[4,3,2,5,8,11,7,10,9,1,6,12]
[3,2,7,9,10,6,12,8,5,1,4,11]=>[5,3,2,1,8,12,7,10,9,4,6,11]
[3,2,7,9,11,6,12,8,1,4,5,10]=>[8,3,2,1,4,12,7,11,9,6,5,10]
[3,2,7,10,11,6,12,1,4,5,8,9]=>[12,3,2,1,4,11,7,5,8,10,6,9]
[3,2,8,9,10,11,7,6,5,4,1,12]=>[4,3,2,5,6,7,11,8,9,10,1,12]
[3,2,8,9,10,12,7,6,5,1,4,11]=>[5,3,2,1,6,7,12,8,9,10,4,11]
[3,2,8,9,11,12,7,6,1,4,5,10]=>[6,3,2,1,4,7,12,8,9,5,11,10]
[3,2,8,10,11,12,7,1,4,5,6,9]=>[7,3,2,1,4,5,12,8,6,10,11,9]
[3,2,9,10,11,12,1,4,5,6,7,8]=>[12,3,2,1,4,5,6,7,9,10,11,8]
[4,5,3,2,7,6,9,8,11,10,1,12]=>[10,3,5,4,2,7,6,9,8,11,1,12]
[4,5,3,2,7,6,9,8,12,1,10,11]=>[12,3,5,4,2,7,6,9,8,1,10,11]
[4,5,3,2,7,6,10,11,9,8,1,12]=>[8,3,5,4,2,7,6,9,11,10,1,12]
[4,5,3,2,7,6,10,12,9,1,8,11]=>[9,3,5,4,2,7,6,1,12,10,8,11]
[4,5,3,2,7,6,11,12,1,8,9,10]=>[12,3,5,4,2,7,6,1,8,9,11,10]
[4,5,3,2,8,9,7,6,11,10,1,12]=>[10,3,5,4,2,7,9,8,6,11,1,12]
[4,5,3,2,8,9,7,6,12,1,10,11]=>[12,3,5,4,2,7,9,8,6,1,10,11]
[4,5,3,2,8,10,7,11,9,6,1,12]=>[6,3,5,4,2,9,11,8,10,1,7,12]
[4,5,3,2,8,10,7,12,9,1,6,11]=>[9,3,5,4,2,1,12,8,10,6,7,11]
[4,5,3,2,8,11,7,12,1,6,9,10]=>[12,3,5,4,2,1,11,8,6,9,7,10]
[4,5,3,2,9,10,11,8,7,6,1,12]=>[6,3,5,4,2,7,8,11,9,10,1,12]
[4,5,3,2,9,10,12,8,7,1,6,11]=>[7,3,5,4,2,1,8,12,9,10,6,11]
[4,5,3,2,9,11,12,8,1,6,7,10]=>[8,3,5,4,2,1,6,12,9,7,11,10]
[4,5,3,2,10,11,12,1,6,7,8,9]=>[12,3,5,4,2,1,6,7,8,10,11,9]
[4,6,3,7,5,2,9,8,11,10,1,12]=>[10,5,7,4,6,2,3,9,8,11,1,12]
[4,6,3,7,5,2,9,8,12,1,10,11]=>[12,5,7,4,6,2,3,9,8,1,10,11]
[4,6,3,7,5,2,10,11,9,8,1,12]=>[8,5,7,4,6,2,3,9,11,10,1,12]
[4,6,3,7,5,2,10,12,9,1,8,11]=>[9,5,7,4,6,2,3,1,12,10,8,11]
[4,6,3,7,5,2,11,12,1,8,9,10]=>[12,5,7,4,6,2,3,1,8,9,11,10]
[4,6,3,8,5,9,7,2,11,10,1,12]=>[10,7,6,4,9,3,8,2,5,11,1,12]
[4,6,3,8,5,9,7,2,12,1,10,11]=>[12,7,6,4,9,3,8,2,5,1,10,11]
[4,6,3,8,5,10,7,11,9,2,1,12]=>[2,9,6,4,8,3,11,5,10,1,7,12]
[4,6,3,8,5,10,7,12,9,1,2,11]=>[9,1,6,4,8,3,12,5,10,2,7,11]
[4,6,3,8,5,11,7,12,1,2,9,10]=>[12,1,6,4,8,3,11,5,2,9,7,10]
[4,6,3,9,5,10,11,8,7,2,1,12]=>[2,7,6,4,8,3,11,9,5,10,1,12]
[4,6,3,9,5,10,12,8,7,1,2,11]=>[7,1,6,4,8,3,12,9,5,10,2,11]
[4,6,3,9,5,11,12,8,1,2,7,10]=>[8,1,6,4,12,3,5,9,2,7,11,10]
[4,6,3,10,5,11,12,1,2,7,8,9]=>[12,1,6,4,10,3,2,7,8,5,11,9]
[4,7,3,8,9,6,5,2,11,10,1,12]=>[10,5,6,4,9,7,3,8,2,11,1,12]
[4,7,3,8,9,6,5,2,12,1,10,11]=>[12,5,6,4,9,7,3,8,2,1,10,11]
[4,7,3,8,10,6,5,11,9,2,1,12]=>[2,9,7,4,6,11,3,8,10,1,5,12]
[4,7,3,8,10,6,5,12,9,1,2,11]=>[9,1,7,4,6,12,3,8,10,2,5,11]
[4,7,3,8,11,6,5,12,1,2,9,10]=>[12,1,7,4,6,11,3,8,2,9,5,10]
[4,7,3,9,10,6,11,8,5,2,1,12]=>[2,5,8,4,7,11,1,10,9,3,6,12]
[4,7,3,9,10,6,12,8,5,1,2,11]=>[5,1,8,4,7,12,2,10,9,3,6,11]
[4,7,3,9,11,6,12,8,1,2,5,10]=>[8,1,7,4,2,12,3,11,9,6,5,10]
[4,7,3,10,11,6,12,1,2,5,8,9]=>[12,1,7,4,2,11,3,5,8,10,6,9]
[4,8,3,9,10,11,7,6,5,2,1,12]=>[2,5,6,4,7,11,8,1,9,10,3,12]
[4,8,3,9,10,12,7,6,5,1,2,11]=>[5,1,6,4,7,12,8,2,9,10,3,11]
[4,8,3,9,11,12,7,6,1,2,5,10]=>[6,1,7,4,2,12,8,3,9,5,11,10]
[4,8,3,10,11,12,7,1,2,5,6,9]=>[7,1,12,4,3,5,8,2,6,10,11,9]
[4,9,3,10,11,12,1,2,5,6,7,8]=>[12,1,9,4,2,5,6,7,3,10,11,8]
[5,6,7,4,3,2,9,8,11,10,1,12]=>[10,3,4,7,5,6,2,9,8,11,1,12]
[5,6,7,4,3,2,9,8,12,1,10,11]=>[12,3,4,7,5,6,2,9,8,1,10,11]
[5,6,7,4,3,2,10,11,9,8,1,12]=>[8,3,4,7,5,6,2,9,11,10,1,12]
[5,6,7,4,3,2,10,12,9,1,8,11]=>[9,3,4,7,5,6,2,1,12,10,8,11]
[5,6,7,4,3,2,11,12,1,8,9,10]=>[12,3,4,7,5,6,2,1,8,9,11,10]
[5,6,8,4,3,9,7,2,11,10,1,12]=>[10,7,4,9,5,6,8,2,3,11,1,12]
[5,6,8,4,3,9,7,2,12,1,10,11]=>[12,7,4,9,5,6,8,2,3,1,10,11]
[5,6,8,4,3,10,7,11,9,2,1,12]=>[2,9,4,8,5,6,11,3,10,1,7,12]
[5,6,8,4,3,10,7,12,9,1,2,11]=>[9,1,4,8,5,6,12,3,10,2,7,11]
[5,6,8,4,3,11,7,12,1,2,9,10]=>[12,1,4,8,5,6,11,3,2,9,7,10]
[5,6,9,4,3,10,11,8,7,2,1,12]=>[2,7,4,8,5,6,11,9,3,10,1,12]
[5,6,9,4,3,10,12,8,7,1,2,11]=>[7,1,4,8,5,6,12,9,3,10,2,11]
[5,6,9,4,3,11,12,8,1,2,7,10]=>[8,1,4,12,5,6,3,9,2,7,11,10]
[5,6,10,4,3,11,12,1,2,7,8,9]=>[12,1,4,10,5,6,2,7,8,3,11,9]
[5,7,8,4,9,6,3,2,11,10,1,12]=>[10,3,6,9,5,8,7,2,4,11,1,12]
[5,7,8,4,9,6,3,2,12,1,10,11]=>[12,3,6,9,5,8,7,2,4,1,10,11]
[5,7,8,4,10,6,3,11,9,2,1,12]=>[2,9,6,11,5,8,7,3,10,1,4,12]
[5,7,8,4,10,6,3,12,9,1,2,11]=>[9,1,6,12,5,8,7,3,10,2,4,11]
[5,7,8,4,11,6,3,12,1,2,9,10]=>[12,1,6,11,5,8,7,3,2,9,4,10]
[5,7,9,4,10,6,11,8,3,2,1,12]=>[2,3,8,11,5,9,7,10,6,1,4,12]
[5,7,9,4,10,6,12,8,3,1,2,11]=>[3,1,8,12,5,9,7,10,6,2,4,11]
[5,7,9,4,11,6,12,8,1,2,3,10]=>[8,1,2,12,5,9,7,11,6,4,3,10]
[5,7,10,4,11,6,12,1,2,3,8,9]=>[12,1,2,10,5,11,7,3,8,4,6,9]
[5,8,9,4,10,11,7,6,3,2,1,12]=>[2,3,6,7,5,11,9,8,4,10,1,12]
[5,8,9,4,10,12,7,6,3,1,2,11]=>[3,1,6,7,5,12,9,8,4,10,2,11]
[5,8,9,4,11,12,7,6,1,2,3,10]=>[6,1,2,7,5,12,9,8,4,3,11,10]
[5,8,10,4,11,12,7,1,2,3,6,9]=>[7,1,2,12,5,4,10,8,6,3,11,9]
[5,9,10,4,11,12,1,2,3,6,7,8]=>[12,1,2,10,5,3,6,7,9,4,11,8]
[6,7,8,9,5,4,3,2,11,10,1,12]=>[10,3,4,5,9,6,7,8,2,11,1,12]
[6,7,8,9,5,4,3,2,12,1,10,11]=>[12,3,4,5,9,6,7,8,2,1,10,11]
[6,7,8,10,5,4,3,11,9,2,1,12]=>[2,9,4,5,11,6,7,8,10,1,3,12]
[6,7,8,10,5,4,3,12,9,1,2,11]=>[9,1,4,5,12,6,7,8,10,2,3,11]
[6,7,8,11,5,4,3,12,1,2,9,10]=>[12,1,4,5,11,6,7,8,2,9,3,10]
[6,7,9,10,5,4,11,8,3,2,1,12]=>[2,3,8,5,11,6,7,10,9,1,4,12]
[6,7,9,10,5,4,12,8,3,1,2,11]=>[3,1,8,5,12,6,7,10,9,2,4,11]
[6,7,9,11,5,4,12,8,1,2,3,10]=>[8,1,2,5,12,6,7,11,9,4,3,10]
[6,7,10,11,5,4,12,1,2,3,8,9]=>[12,1,2,5,11,6,7,3,8,10,4,9]
[6,8,9,10,5,11,7,4,3,2,1,12]=>[2,3,4,7,11,6,10,8,9,1,5,12]
[6,8,9,10,5,12,7,4,3,1,2,11]=>[3,1,4,7,12,6,10,8,9,2,5,11]
[6,8,9,11,5,12,7,4,1,2,3,10]=>[4,1,2,7,12,6,11,8,9,5,3,10]
[6,8,10,11,5,12,7,1,2,3,4,9]=>[7,1,2,3,12,6,11,8,5,10,4,9]
[6,9,10,11,5,12,1,2,3,4,7,8]=>[12,1,2,3,11,6,4,7,9,10,5,8]
[7,8,9,10,11,6,5,4,3,2,1,12]=>[2,3,4,5,6,11,7,8,9,10,1,12]
[7,8,9,10,12,6,5,4,3,1,2,11]=>[3,1,4,5,6,12,7,8,9,10,2,11]
[7,8,9,11,12,6,5,4,1,2,3,10]=>[4,1,2,5,6,12,7,8,9,3,11,10]
[7,8,10,11,12,6,5,1,2,3,4,9]=>[5,1,2,3,6,12,7,8,4,10,11,9]
[7,9,10,11,12,6,1,2,3,4,5,8]=>[6,1,2,3,4,12,7,5,9,10,11,8]
[7,8,3,4,9,10,1,2,5,6,11,12]=>[10,1,8,3,2,5,7,4,9,6,11,12]
[10,7,5,11,3,8,2,6,12,1,4,9]=>[12,8,11,1,7,2,10,3,4,5,6,9]
[1,2,4,8,3,6,12,11,9,5,10,7]=>[1,2,8,4,9,3,11,6,10,7,12,5]
[1,2,4,8,3,6,12,10,7,5,11,9]=>[1,2,8,4,7,3,10,6,12,11,9,5]
[1,2,4,9,5,10,7,3,6,12,11,8]=>[1,2,7,4,10,5,9,11,3,6,12,8]
[1,2,4,9,5,11,8,3,6,12,10,7]=>[1,2,8,4,11,5,9,10,7,12,6,3]
[1,2,4,10,7,3,6,12,9,5,11,8]=>[1,2,7,4,10,5,9,12,11,6,8,3]
[1,2,4,8,3,7,5,10,6,12,11,9]=>[1,2,8,4,7,10,3,5,11,6,12,9]
[1,2,4,8,3,7,5,11,9,6,12,10]=>[1,2,8,4,7,9,3,5,11,12,6,10]
[1,2,4,9,5,10,6,12,11,8,3,7]=>[1,2,8,4,11,9,5,10,6,3,12,7]
[1,2,4,9,5,11,8,3,7,6,12,10]=>[1,2,8,4,11,7,5,9,3,12,6,10]
[1,2,4,10,6,12,9,5,11,8,3,7]=>[1,2,8,4,11,9,5,12,10,6,3,7]
[1,2,4,9,5,10,6,12,11,7,3,8]=>[1,2,7,4,11,9,10,5,6,3,12,8]
[1,2,4,9,5,11,7,3,8,6,12,10]=>[1,2,7,4,11,9,8,5,6,12,3,10]
[1,2,4,10,6,12,9,5,11,7,3,8]=>[1,2,7,4,11,9,12,5,10,6,3,8]
[1,2,4,10,6,12,8,3,9,5,11,7]=>[1,2,8,4,12,9,10,11,5,7,6,3]
[1,2,5,10,7,3,6,12,11,9,4,8]=>[1,2,7,10,5,4,9,3,11,6,12,8]
[1,2,5,11,9,4,8,3,6,12,10,7]=>[1,2,8,9,5,3,11,7,10,12,6,4]
[1,2,5,10,7,3,6,12,11,8,4,9]=>[1,2,7,10,5,4,8,11,3,6,12,9]
[1,2,5,11,8,3,6,12,10,7,4,9]=>[1,2,8,7,5,4,11,10,3,12,6,9]
[1,2,5,11,8,3,6,12,9,4,10,7]=>[1,2,8,11,5,4,9,12,10,3,6,7]
[1,2,5,10,6,12,11,9,4,8,3,7]=>[1,2,8,9,5,11,3,6,10,4,12,7]
[1,2,5,11,9,4,8,3,7,6,12,10]=>[1,2,8,9,5,7,3,4,11,12,6,10]
[1,2,5,10,6,12,11,8,3,7,4,9]=>[1,2,8,7,5,11,6,10,4,3,12,9]
[1,2,5,11,8,3,7,4,9,6,12,10]=>[1,2,8,7,5,11,6,9,4,12,3,10]
[1,2,5,11,8,3,7,4,10,6,12,9]=>[1,2,8,7,5,11,6,10,12,4,3,9]
[1,2,5,10,6,12,11,7,3,8,4,9]=>[1,2,7,11,5,8,10,4,6,3,12,9]
[1,2,5,11,7,3,8,4,9,6,12,10]=>[1,2,7,11,5,8,9,4,6,12,3,10]
[1,2,5,11,7,3,8,4,10,6,12,9]=>[1,2,7,11,5,8,10,4,12,6,3,9]
[1,2,5,11,7,3,9,4,10,6,12,8]=>[1,2,7,11,5,9,10,12,4,6,3,8]
[1,2,6,12,11,9,4,8,3,7,5,10]=>[1,2,8,9,7,6,3,4,11,5,12,10]
[1,2,6,12,10,5,11,9,4,8,3,7]=>[1,2,8,9,11,6,3,5,10,12,4,7]
[1,2,6,12,11,8,3,7,4,9,5,10]=>[1,2,8,7,11,6,5,9,4,3,12,10]
[1,2,6,12,10,5,11,8,3,7,4,9]=>[1,2,8,7,11,6,5,10,4,12,3,9]
[1,2,6,12,9,4,10,5,11,8,3,7]=>[1,2,8,11,9,6,4,12,10,3,5,7]
[1,2,6,12,11,7,3,8,4,9,5,10]=>[1,2,7,11,8,6,9,4,5,3,12,10]
[1,2,6,12,10,5,11,7,3,8,4,9]=>[1,2,7,11,8,6,10,4,5,12,3,9]
[1,2,6,12,9,4,10,5,11,7,3,8]=>[1,2,7,11,9,6,12,4,10,3,5,8]
[1,2,6,12,8,3,9,4,10,5,11,7]=>[1,2,8,12,9,6,10,11,4,5,7,3]
[1,2,7,3,8,4,9,5,10,6,12,11]=>[1,2,7,8,9,10,3,4,5,6,12,11]
[1,2,7,3,8,4,9,5,11,6,12,10]=>[1,2,7,8,9,11,3,4,5,12,6,10]
[1,2,7,3,8,4,10,5,11,6,12,9]=>[1,2,7,8,10,11,3,4,12,5,6,9]
[1,2,7,3,9,4,10,5,11,6,12,8]=>[1,2,7,9,10,11,3,12,4,5,6,8]
[1,2,8,3,9,4,10,5,11,6,12,7]=>[1,2,8,9,10,11,12,3,4,5,6,7]
[1,3,6,12,11,9,5,10,7,2,4,8]=>[1,7,3,2,10,6,9,5,11,4,12,8]
[1,3,6,12,10,7,2,4,8,5,11,9]=>[1,7,3,2,10,6,8,5,12,11,9,4]
[1,3,6,12,11,8,2,4,9,5,10,7]=>[1,8,3,2,11,6,9,10,5,7,12,4]
[1,3,6,12,10,7,2,4,9,5,11,8]=>[1,7,3,2,10,6,9,12,8,11,4,5]
[1,3,6,12,9,5,11,8,2,4,10,7]=>[1,8,3,2,11,6,9,12,10,5,4,7]
[1,3,7,2,4,8,5,10,6,12,11,9]=>[1,7,3,2,8,10,4,5,11,6,12,9]
[1,3,7,2,4,8,5,11,9,6,12,10]=>[1,7,3,2,8,9,4,5,11,12,6,10]
[1,3,7,2,4,9,5,10,6,12,11,8]=>[1,7,3,2,9,10,4,11,5,6,12,8]
[1,3,7,2,4,9,5,11,8,6,12,10]=>[1,7,3,2,9,8,4,11,5,12,6,10]
[1,3,7,2,4,10,6,12,9,5,11,8]=>[1,7,3,2,9,12,4,10,11,8,6,5]
[1,3,8,2,4,9,5,10,6,12,11,7]=>[1,8,3,2,9,10,11,4,5,6,12,7]
[1,3,8,2,4,9,5,11,7,6,12,10]=>[1,8,3,2,9,7,11,4,5,12,6,10]
[1,3,8,2,4,10,6,12,9,5,11,7]=>[1,8,3,2,9,12,10,4,11,7,6,5]
[1,3,9,5,11,7,2,4,10,6,12,8]=>[1,7,3,2,11,9,10,12,6,5,4,8]
[1,3,6,12,11,9,4,8,2,5,10,7]=>[1,8,3,9,2,6,11,7,10,5,12,4]
[1,3,6,12,10,7,2,5,11,9,4,8]=>[1,7,3,10,2,6,9,4,12,11,5,8]
[1,3,6,12,11,8,2,5,10,7,4,9]=>[1,8,3,7,4,6,11,10,2,5,12,9]
[1,3,6,12,10,7,2,5,11,8,4,9]=>[1,7,3,10,2,6,8,12,4,11,5,9]
[1,3,6,12,9,4,10,7,2,5,11,8]=>[1,7,3,10,4,6,9,12,11,8,5,2]
[1,3,7,2,5,10,6,12,11,9,4,8]=>[1,7,3,9,2,11,5,6,10,4,12,8]
[1,3,7,2,5,11,9,4,8,6,12,10]=>[1,7,3,9,2,8,5,4,11,12,6,10]
[1,3,7,2,5,10,6,12,11,8,4,9]=>[1,7,3,8,2,11,5,10,6,4,12,9]
[1,3,7,2,5,11,8,4,9,6,12,10]=>[1,7,3,8,2,11,5,9,6,12,4,10]
[1,3,7,2,5,11,8,4,10,6,12,9]=>[1,7,3,8,2,11,5,10,12,6,4,9]
[1,3,8,2,5,10,6,12,11,7,4,9]=>[1,8,3,7,2,11,10,5,6,4,12,9]
[1,3,8,2,5,11,7,4,9,6,12,10]=>[1,8,3,7,2,11,9,5,6,12,4,10]
[1,3,8,2,5,11,7,4,10,6,12,9]=>[1,8,3,7,2,11,10,5,12,6,4,9]
[1,3,9,4,10,6,12,8,2,5,11,7]=>[1,8,3,12,4,9,10,11,6,7,5,2]
[1,3,7,2,6,12,11,9,4,8,5,10]=>[1,7,3,9,8,2,6,4,11,5,12,10]
[1,3,7,2,6,12,10,5,11,9,4,8]=>[1,7,3,9,11,2,6,5,10,12,4,8]
[1,3,7,2,6,12,11,8,4,9,5,10]=>[1,7,3,8,11,2,6,9,5,4,12,10]
[1,3,7,2,6,12,10,5,11,8,4,9]=>[1,7,3,8,11,2,6,10,5,12,4,9]
[1,3,7,2,6,12,9,4,10,5,11,8]=>[1,7,3,9,12,2,6,10,11,5,8,4]
[1,3,8,2,6,12,11,7,4,9,5,10]=>[1,8,3,7,11,2,9,6,5,4,12,10]
[1,3,8,2,6,12,10,5,11,7,4,9]=>[1,8,3,7,11,2,10,6,5,12,4,9]
[1,3,8,2,6,12,9,4,10,5,11,7]=>[1,8,3,9,12,2,10,6,11,5,7,4]
[1,3,9,4,10,5,11,7,2,6,12,8]=>[1,7,3,11,9,4,10,12,5,2,6,8]
[1,3,8,2,7,4,9,5,10,6,12,11]=>[1,8,3,7,9,10,2,4,5,6,12,11]
[1,3,8,2,7,4,9,5,11,6,12,10]=>[1,8,3,7,9,11,2,4,5,12,6,10]
[1,3,8,2,7,4,10,5,11,6,12,9]=>[1,8,3,7,10,11,2,4,12,5,6,9]
[1,3,9,4,10,5,11,6,12,8,2,7]=>[1,8,3,12,9,10,4,11,5,6,2,7]
[1,3,9,4,10,5,11,6,12,7,2,8]=>[1,7,3,12,9,10,11,4,5,6,2,8]
[1,4,8,2,5,10,7,3,6,12,11,9]=>[1,8,7,4,2,3,10,5,11,6,12,9]
[1,4,8,2,5,11,9,3,6,12,10,7]=>[1,8,9,4,2,3,11,5,10,12,7,6]
[1,4,9,3,6,12,11,8,2,5,10,7]=>[1,8,11,4,3,2,9,10,7,5,12,6]
[1,4,9,3,6,12,10,7,2,5,11,8]=>[1,7,10,4,3,2,9,12,6,11,8,5]
[1,4,10,7,2,5,11,8,3,6,12,9]=>[1,7,10,4,3,2,8,11,12,5,6,9]
[1,4,8,2,5,10,6,12,11,9,3,7]=>[1,8,9,4,2,11,6,5,10,3,12,7]
[1,4,8,2,5,11,9,3,7,6,12,10]=>[1,8,9,4,2,7,3,5,11,12,6,10]
[1,4,9,3,7,2,5,10,6,12,11,8]=>[1,7,9,4,2,10,3,11,5,6,12,8]
[1,4,9,3,7,2,5,11,8,6,12,10]=>[1,7,9,4,2,8,3,11,5,12,6,10]
[1,4,10,6,12,9,3,7,2,5,11,8]=>[1,7,9,4,2,12,6,10,11,8,5,3]
[1,4,9,3,8,2,5,10,6,12,11,7]=>[1,8,9,4,2,10,11,3,5,6,12,7]
[1,4,9,3,8,2,5,11,7,6,12,10]=>[1,8,9,4,2,7,11,3,5,12,6,10]
[1,4,10,6,12,9,3,8,2,5,11,7]=>[1,8,9,4,2,12,10,6,11,7,5,3]
[1,4,10,6,12,8,2,5,11,7,3,9]=>[1,8,7,4,2,12,11,10,3,5,6,9]
[1,4,8,2,6,12,11,9,3,7,5,10]=>[1,8,9,4,7,2,3,6,11,5,12,10]
[1,4,8,2,6,12,10,5,11,9,3,7]=>[1,8,9,4,11,2,5,6,10,12,3,7]
[1,4,9,3,7,2,6,12,11,8,5,10]=>[1,7,9,4,8,2,3,11,6,5,12,10]
[1,4,9,3,7,2,6,12,10,5,11,8]=>[1,7,9,4,10,2,3,12,6,11,8,5]
[1,4,10,5,11,8,2,6,12,9,3,7]=>[1,8,11,4,9,3,2,12,10,5,6,7]
[1,4,9,3,8,2,6,12,11,7,5,10]=>[1,8,9,4,7,2,11,3,6,5,12,10]
[1,4,9,3,8,2,6,12,10,5,11,7]=>[1,8,9,4,10,2,12,3,6,11,7,5]
[1,4,10,5,11,7,2,6,12,9,3,8]=>[1,7,11,4,9,3,12,2,10,5,6,8]
[1,4,10,5,11,7,2,6,12,8,3,9]=>[1,7,11,4,8,3,12,10,2,5,6,9]
[1,4,9,3,8,2,7,5,10,6,12,11]=>[1,8,9,4,7,10,2,3,5,6,12,11]
[1,4,9,3,8,2,7,5,11,6,12,10]=>[1,8,9,4,7,11,2,3,5,12,6,10]
[1,4,10,5,11,6,12,9,3,8,2,7]=>[1,8,9,4,12,10,2,5,11,6,3,7]
[1,4,10,5,11,6,12,8,2,7,3,9]=>[1,8,7,4,12,10,5,11,3,6,2,9]
[1,4,10,5,11,6,12,7,2,8,3,9]=>[1,7,12,4,8,10,11,3,5,6,2,9]
[1,5,10,4,8,2,6,12,11,9,3,7]=>[1,8,9,11,5,2,4,3,10,6,12,7]
[1,5,11,9,3,7,2,6,12,10,4,8]=>[1,7,9,11,5,2,4,3,10,12,6,8]
[1,5,10,4,9,3,7,2,6,12,11,8]=>[1,7,9,10,5,2,3,11,4,6,12,8]
[1,5,11,8,2,6,12,10,4,9,3,7]=>[1,8,11,9,5,3,4,10,2,12,6,7]
[1,5,11,8,2,6,12,9,3,7,4,10]=>[1,8,11,7,5,3,2,9,12,4,6,10]
[1,5,10,4,9,3,8,2,6,12,11,7]=>[1,8,9,10,5,2,11,3,4,6,12,7]
[1,5,11,7,2,6,12,10,4,9,3,8]=>[1,7,11,9,5,3,10,4,2,12,6,8]
[1,5,11,7,2,6,12,9,3,8,4,10]=>[1,7,11,9,5,3,8,4,12,2,6,10]
[1,5,11,7,2,6,12,8,3,9,4,10]=>[1,7,11,8,5,3,12,9,2,4,6,10]
[1,5,10,4,9,3,8,2,7,6,12,11]=>[1,8,9,10,5,7,2,3,4,6,12,11]
[1,5,11,6,12,10,4,9,3,8,2,7]=>[1,8,9,10,5,12,2,3,6,11,4,7]
[1,5,11,6,12,9,3,8,2,7,4,10]=>[1,8,9,7,5,12,2,6,11,4,3,10]
[1,5,11,6,12,8,2,7,3,9,4,10]=>[1,8,7,12,5,9,4,11,3,6,2,10]
[1,5,11,6,12,7,2,8,3,9,4,10]=>[1,7,12,8,5,9,11,3,4,6,2,10]
[1,6,12,11,5,10,4,9,3,8,2,7]=>[1,8,9,10,11,6,2,3,4,5,12,7]
[1,6,12,10,4,9,3,8,2,7,5,11]=>[1,8,9,10,7,6,2,3,4,12,5,11]
[1,6,12,9,3,8,2,7,4,10,5,11]=>[1,8,9,7,12,6,2,5,10,4,3,11]
[1,6,12,8,2,7,3,9,4,10,5,11]=>[1,8,7,12,9,6,4,10,3,5,2,11]
[1,6,12,7,2,8,3,9,4,10,5,11]=>[1,7,12,8,9,6,10,3,4,5,2,11]
[1,7,2,8,3,9,4,10,5,11,6,12]=>[1,7,8,9,10,11,2,3,4,5,6,12]
[3,12,2,1,11,10,9,8,7,6,5,4]=>[2,12,3,5,6,7,8,9,10,11,1,4]
[3,12,2,11,10,1,9,8,7,6,5,4]=>[10,11,3,5,6,7,8,9,2,12,1,4]
[3,12,2,11,10,9,8,1,7,6,5,4]=>[8,9,3,5,6,7,2,10,11,12,1,4]
[3,12,2,11,10,9,8,7,6,1,5,4]=>[6,7,3,5,2,8,9,10,11,12,1,4]
[3,12,2,11,10,9,8,7,6,5,4,1]=>[4,5,3,6,7,8,9,10,11,12,1,2]
[4,12,11,3,2,1,10,9,8,7,6,5]=>[2,3,11,4,6,7,8,9,10,1,12,5]
[4,12,11,3,2,10,9,1,8,7,6,5]=>[9,3,10,4,6,7,8,2,11,1,12,5]
[4,12,11,3,2,10,9,8,7,1,6,5]=>[7,3,8,4,6,2,9,10,11,1,12,5]
[4,12,11,3,2,10,9,8,7,6,5,1]=>[5,3,6,4,7,8,9,10,11,1,12,2]
[4,12,11,3,10,9,2,1,8,7,6,5]=>[2,9,10,4,6,7,8,3,11,1,12,5]
[4,12,11,3,10,9,2,8,7,1,6,5]=>[7,8,9,4,6,2,10,1,11,3,12,5]
[4,12,11,3,10,9,2,8,7,6,5,1]=>[5,6,7,4,8,9,10,3,11,2,12,1]
[4,12,11,3,10,9,8,7,2,1,6,5]=>[2,7,8,4,6,3,9,10,11,1,12,5]
[4,12,11,3,10,9,8,7,2,6,5,1]=>[5,6,7,4,8,1,9,10,11,3,12,2]
[4,12,11,3,10,9,8,7,6,5,2,1]=>[2,5,6,4,7,8,9,10,11,1,12,3]
[5,12,11,10,4,3,2,1,9,8,7,6]=>[2,3,4,10,5,7,8,9,1,11,12,6]
[5,12,11,10,4,3,2,9,8,1,7,6]=>[8,3,4,9,5,7,2,10,1,11,12,6]
[5,12,11,10,4,3,2,9,8,7,6,1]=>[6,3,4,7,5,8,9,10,1,11,12,2]
[5,12,11,10,4,3,9,8,2,1,7,6]=>[2,8,4,9,5,7,3,10,1,11,12,6]
[5,12,11,10,4,3,9,8,2,7,6,1]=>[6,7,4,8,5,9,1,10,3,11,12,2]
[5,12,11,10,4,3,9,8,7,6,2,1]=>[2,6,4,7,5,8,9,10,1,11,12,3]
[5,12,11,10,4,9,8,3,2,1,7,6]=>[2,3,8,9,5,7,4,10,1,11,12,6]
[5,12,11,10,4,9,8,3,2,7,6,1]=>[6,3,7,8,5,9,1,10,4,11,12,2]
[5,12,11,10,4,9,8,3,7,6,2,1]=>[2,6,7,8,5,9,1,10,4,11,12,3]
[5,12,11,10,4,9,8,7,6,3,2,1]=>[2,3,6,7,5,8,9,10,1,11,12,4]
[6,12,11,10,9,5,4,3,2,1,8,7]=>[2,3,4,5,9,6,8,1,10,11,12,7]
[6,12,11,10,9,5,4,3,2,8,7,1]=>[7,3,4,5,8,6,9,1,10,11,12,2]
[6,12,11,10,9,5,4,3,8,7,2,1]=>[2,7,4,5,8,6,9,1,10,11,12,3]
[6,12,11,10,9,5,4,8,7,3,2,1]=>[2,3,7,5,8,6,9,1,10,11,12,4]
[6,12,11,10,9,5,8,7,4,3,2,1]=>[2,3,4,7,8,6,9,1,10,11,12,5]
[7,12,11,10,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,10,11,12,1]
[6,3,2,12,11,1,10,9,8,7,5,4]=>[11,3,6,5,7,2,8,9,10,1,12,4]
[8,3,2,12,11,10,9,1,7,6,5,4]=>[9,3,8,5,6,7,1,2,10,11,12,4]
[10,3,2,12,11,9,8,7,6,1,5,4]=>[6,3,7,5,1,8,9,11,10,2,12,4]
[8,5,4,3,2,12,11,1,10,9,7,6]=>[11,3,4,5,8,7,9,2,10,1,12,6]
[10,5,4,3,2,12,11,9,8,1,7,6]=>[8,3,4,5,9,7,1,11,10,2,12,6]
[8,7,4,3,12,11,2,1,10,9,6,5]=>[2,11,4,7,6,8,9,5,10,1,12,3]
[10,7,4,3,12,11,2,9,8,1,6,5]=>[8,9,4,7,6,2,11,10,3,1,12,5]
[12,7,4,3,11,10,2,9,8,6,5,1]=>[5,6,4,8,9,7,10,11,3,12,2,1]
[10,9,4,3,12,11,8,7,2,1,6,5]=>[2,7,4,8,6,1,11,9,10,3,12,5]
[12,9,4,3,11,10,8,7,2,6,5,1]=>[5,6,4,7,8,1,10,9,11,12,3,2]
[10,7,6,5,4,3,2,12,11,1,9,8]=>[11,3,4,5,6,7,10,9,1,2,12,8]
[10,9,6,5,4,3,12,11,2,1,8,7]=>[2,11,4,5,6,9,8,1,10,3,12,7]
[12,9,6,5,4,3,11,10,2,8,7,1]=>[7,8,4,5,6,10,9,1,11,12,3,2]
[10,9,8,5,4,12,11,3,2,1,7,6]=>[2,3,11,5,8,7,1,9,10,4,12,6]
[12,9,8,5,4,11,10,3,2,7,6,1]=>[6,3,7,5,10,8,1,9,11,12,4,2]
[12,11,8,5,4,10,9,3,7,6,2,1]=>[2,6,7,5,9,8,1,10,11,4,12,3]
[8,9,10,11,7,1,2,3,4,5,12,6]=>[7,1,2,3,4,11,12,8,9,10,6,5]
[2,9,10,11,12,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,12,9,10,11,7]
[10,11,9,12,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,12,7,11,10,9,2]
[11,12,8,9,7,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,9,12,8,7,11,2]
[10,11,8,9,7,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,9,11,8,10,7,2]
[9,10,8,11,7,12,5,6,3,4,1,2]=>[4,1,6,3,12,5,11,10,9,8,7,2]
[11,12,9,10,6,7,5,8,3,4,1,2]=>[4,1,8,3,7,10,6,5,12,9,11,2]
[10,11,9,12,6,7,5,8,3,4,1,2]=>[4,1,8,3,7,12,6,5,11,10,9,2]
[11,12,8,9,6,7,5,10,3,4,1,2]=>[4,1,10,3,7,9,6,12,8,5,11,2]
[11,12,7,8,6,9,5,10,3,4,1,2]=>[4,1,10,3,9,8,12,7,6,5,11,2]
[10,11,8,9,6,7,5,12,3,4,1,2]=>[4,1,12,3,7,9,6,11,8,10,5,2]
[9,10,8,11,6,7,5,12,3,4,1,2]=>[4,1,12,3,7,11,6,10,9,8,5,2]
[10,11,7,8,6,9,5,12,3,4,1,2]=>[4,1,12,3,9,8,11,7,6,10,5,2]
[9,10,7,8,6,11,5,12,3,4,1,2]=>[4,1,12,3,11,8,10,7,9,6,5,2]
[8,9,7,10,6,11,5,12,3,4,1,2]=>[4,1,12,3,11,10,9,8,7,6,5,2]
[11,12,9,10,7,8,4,5,3,6,1,2]=>[6,1,5,8,4,3,10,7,12,9,11,2]
[10,11,9,12,7,8,4,5,3,6,1,2]=>[6,1,5,8,4,3,12,7,11,10,9,2]
[11,12,8,9,7,10,4,5,3,6,1,2]=>[6,1,5,10,4,3,9,12,8,7,11,2]
[10,11,8,9,7,12,4,5,3,6,1,2]=>[6,1,5,12,4,3,9,11,8,10,7,2]
[9,10,8,11,7,12,4,5,3,6,1,2]=>[6,1,5,12,4,3,11,10,9,8,7,2]
[11,12,9,10,6,7,4,5,3,8,1,2]=>[8,1,5,7,4,10,6,3,12,9,11,2]
[10,11,9,12,6,7,4,5,3,8,1,2]=>[8,1,5,7,4,12,6,3,11,10,9,2]
[11,12,9,10,5,6,4,7,3,8,1,2]=>[8,1,7,6,10,5,4,3,12,9,11,2]
[10,11,9,12,5,6,4,7,3,8,1,2]=>[8,1,7,6,12,5,4,3,11,10,9,2]
[11,12,8,9,6,7,4,5,3,10,1,2]=>[10,1,5,7,4,9,6,12,8,3,11,2]
[11,12,7,8,6,9,4,5,3,10,1,2]=>[10,1,5,9,4,8,12,7,6,3,11,2]
[11,12,8,9,5,6,4,7,3,10,1,2]=>[10,1,7,6,9,5,4,12,8,3,11,2]
[11,12,7,8,5,6,4,9,3,10,1,2]=>[10,1,9,6,8,5,12,7,4,3,11,2]
[11,12,6,7,5,8,4,9,3,10,1,2]=>[10,1,9,8,7,12,6,5,4,3,11,2]
[10,11,8,9,6,7,4,5,3,12,1,2]=>[12,1,5,7,4,9,6,11,8,10,3,2]
[9,10,8,11,6,7,4,5,3,12,1,2]=>[12,1,5,7,4,11,6,10,9,8,3,2]
[10,11,7,8,6,9,4,5,3,12,1,2]=>[12,1,5,9,4,8,11,7,6,10,3,2]
[9,10,7,8,6,11,4,5,3,12,1,2]=>[12,1,5,11,4,8,10,7,9,6,3,2]
[8,9,7,10,6,11,4,5,3,12,1,2]=>[12,1,5,11,4,10,9,8,7,6,3,2]
[10,11,8,9,5,6,4,7,3,12,1,2]=>[12,1,7,6,9,5,4,11,8,10,3,2]
[9,10,8,11,5,6,4,7,3,12,1,2]=>[12,1,7,6,11,5,4,10,9,8,3,2]
[10,11,7,8,5,6,4,9,3,12,1,2]=>[12,1,9,6,8,5,11,7,4,10,3,2]
[10,11,6,7,5,8,4,9,3,12,1,2]=>[12,1,9,8,7,11,6,5,4,10,3,2]
[9,10,7,8,5,6,4,11,3,12,1,2]=>[12,1,11,6,8,5,10,7,9,4,3,2]
[8,9,7,10,5,6,4,11,3,12,1,2]=>[12,1,11,6,10,5,9,8,7,4,3,2]
[9,10,6,7,5,8,4,11,3,12,1,2]=>[12,1,11,8,7,10,6,5,9,4,3,2]
[8,9,6,7,5,10,4,11,3,12,1,2]=>[12,1,11,10,7,9,6,8,5,4,3,2]
[7,8,6,9,5,10,4,11,3,12,1,2]=>[12,1,11,10,9,8,7,6,5,4,3,2]
[11,12,9,10,7,8,5,6,2,3,1,4]=>[3,6,2,1,8,5,10,7,12,9,11,4]
[10,11,9,12,7,8,5,6,2,3,1,4]=>[3,6,2,1,8,5,12,7,11,10,9,4]
[11,12,8,9,7,10,5,6,2,3,1,4]=>[3,6,2,1,10,5,9,12,8,7,11,4]
[10,11,8,9,7,12,5,6,2,3,1,4]=>[3,6,2,1,12,5,9,11,8,10,7,4]
[9,10,8,11,7,12,5,6,2,3,1,4]=>[3,6,2,1,12,5,11,10,9,8,7,4]
[11,12,9,10,6,7,5,8,2,3,1,4]=>[3,8,2,1,7,10,6,5,12,9,11,4]
[10,11,9,12,6,7,5,8,2,3,1,4]=>[3,8,2,1,7,12,6,5,11,10,9,4]
[11,12,8,9,6,7,5,10,2,3,1,4]=>[3,10,2,1,7,9,6,12,8,5,11,4]
[11,12,7,8,6,9,5,10,2,3,1,4]=>[3,10,2,1,9,8,12,7,6,5,11,4]
[10,11,8,9,6,7,5,12,2,3,1,4]=>[3,12,2,1,7,9,6,11,8,10,5,4]
[9,10,8,11,6,7,5,12,2,3,1,4]=>[3,12,2,1,7,11,6,10,9,8,5,4]
[10,11,7,8,6,9,5,12,2,3,1,4]=>[3,12,2,1,9,8,11,7,6,10,5,4]
[9,10,7,8,6,11,5,12,2,3,1,4]=>[3,12,2,1,11,8,10,7,9,6,5,4]
[8,9,7,10,6,11,5,12,2,3,1,4]=>[3,12,2,1,11,10,9,8,7,6,5,4]
[11,12,9,10,7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,10,7,12,9,11,6]
[10,11,9,12,7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,12,7,11,10,9,6]
[11,12,8,9,7,10,4,5,2,3,1,6]=>[3,5,2,10,4,1,9,12,8,7,11,6]
[10,11,8,9,7,12,4,5,2,3,1,6]=>[3,5,2,12,4,1,9,11,8,10,7,6]
[9,10,8,11,7,12,4,5,2,3,1,6]=>[3,5,2,12,4,1,11,10,9,8,7,6]
[11,12,9,10,7,8,3,4,2,5,1,6]=>[5,4,8,3,2,1,10,7,12,9,11,6]
[10,11,9,12,7,8,3,4,2,5,1,6]=>[5,4,8,3,2,1,12,7,11,10,9,6]
[11,12,8,9,7,10,3,4,2,5,1,6]=>[5,4,10,3,2,1,9,12,8,7,11,6]
[10,11,8,9,7,12,3,4,2,5,1,6]=>[5,4,12,3,2,1,9,11,8,10,7,6]
[9,10,8,11,7,12,3,4,2,5,1,6]=>[5,4,12,3,2,1,11,10,9,8,7,6]
[11,12,9,10,6,7,4,5,2,3,1,8]=>[3,5,2,7,4,10,6,1,12,9,11,8]
[10,11,9,12,6,7,4,5,2,3,1,8]=>[3,5,2,7,4,12,6,1,11,10,9,8]
[11,12,9,10,5,6,4,7,2,3,1,8]=>[3,7,2,6,10,5,4,1,12,9,11,8]
[10,11,9,12,5,6,4,7,2,3,1,8]=>[3,7,2,6,12,5,4,1,11,10,9,8]
[11,12,9,10,6,7,3,4,2,5,1,8]=>[5,4,7,3,2,10,6,1,12,9,11,8]
[10,11,9,12,6,7,3,4,2,5,1,8]=>[5,4,7,3,2,12,6,1,11,10,9,8]
[11,12,9,10,5,6,3,4,2,7,1,8]=>[7,4,6,3,10,5,2,1,12,9,11,8]
[10,11,9,12,5,6,3,4,2,7,1,8]=>[7,4,6,3,12,5,2,1,11,10,9,8]
[11,12,9,10,4,5,3,6,2,7,1,8]=>[7,6,5,10,4,3,2,1,12,9,11,8]
[10,11,9,12,4,5,3,6,2,7,1,8]=>[7,6,5,12,4,3,2,1,11,10,9,8]
[11,12,8,9,6,7,4,5,2,3,1,10]=>[3,5,2,7,4,9,6,12,8,1,11,10]
[11,12,7,8,6,9,4,5,2,3,1,10]=>[3,5,2,9,4,8,12,7,6,1,11,10]
[11,12,8,9,5,6,4,7,2,3,1,10]=>[3,7,2,6,9,5,4,12,8,1,11,10]
[11,12,7,8,5,6,4,9,2,3,1,10]=>[3,9,2,6,8,5,12,7,4,1,11,10]
[11,12,6,7,5,8,4,9,2,3,1,10]=>[3,9,2,8,7,12,6,5,4,1,11,10]
[11,12,8,9,6,7,3,4,2,5,1,10]=>[5,4,7,3,2,9,6,12,8,1,11,10]
[11,12,7,8,6,9,3,4,2,5,1,10]=>[5,4,9,3,2,8,12,7,6,1,11,10]
[11,12,8,9,5,6,3,4,2,7,1,10]=>[7,4,6,3,9,5,2,12,8,1,11,10]
[11,12,8,9,4,5,3,6,2,7,1,10]=>[7,6,5,9,4,3,2,12,8,1,11,10]
[11,12,7,8,5,6,3,4,2,9,1,10]=>[9,4,6,3,8,5,12,7,2,1,11,10]
[11,12,6,7,5,8,3,4,2,9,1,10]=>[9,4,8,3,7,12,6,5,2,1,11,10]
[11,12,7,8,4,5,3,6,2,9,1,10]=>[9,6,5,8,4,3,12,7,2,1,11,10]
[11,12,6,7,4,5,3,8,2,9,1,10]=>[9,8,5,7,4,12,6,3,2,1,11,10]
[11,12,5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,12,5,4,3,2,1,11,10]
[10,11,8,9,6,7,4,5,2,3,1,12]=>[3,5,2,7,4,9,6,11,8,10,1,12]
[9,10,8,11,6,7,4,5,2,3,1,12]=>[3,5,2,7,4,11,6,10,9,8,1,12]
[10,11,7,8,6,9,4,5,2,3,1,12]=>[3,5,2,9,4,8,11,7,6,10,1,12]
[9,10,7,8,6,11,4,5,2,3,1,12]=>[3,5,2,11,4,8,10,7,9,6,1,12]
[8,9,7,10,6,11,4,5,2,3,1,12]=>[3,5,2,11,4,10,9,8,7,6,1,12]
[10,11,8,9,5,6,4,7,2,3,1,12]=>[3,7,2,6,9,5,4,11,8,10,1,12]
[9,10,8,11,5,6,4,7,2,3,1,12]=>[3,7,2,6,11,5,4,10,9,8,1,12]
[10,11,7,8,5,6,4,9,2,3,1,12]=>[3,9,2,6,8,5,11,7,4,10,1,12]
[10,11,6,7,5,8,4,9,2,3,1,12]=>[3,9,2,8,7,11,6,5,4,10,1,12]
[9,10,7,8,5,6,4,11,2,3,1,12]=>[3,11,2,6,8,5,10,7,9,4,1,12]
[8,9,7,10,5,6,4,11,2,3,1,12]=>[3,11,2,6,10,5,9,8,7,4,1,12]
[9,10,6,7,5,8,4,11,2,3,1,12]=>[3,11,2,8,7,10,6,5,9,4,1,12]
[8,9,6,7,5,10,4,11,2,3,1,12]=>[3,11,2,10,7,9,6,8,5,4,1,12]
[7,8,6,9,5,10,4,11,2,3,1,12]=>[3,11,2,10,9,8,7,6,5,4,1,12]
[10,11,8,9,6,7,3,4,2,5,1,12]=>[5,4,7,3,2,9,6,11,8,10,1,12]
[9,10,8,11,6,7,3,4,2,5,1,12]=>[5,4,7,3,2,11,6,10,9,8,1,12]
[10,11,7,8,6,9,3,4,2,5,1,12]=>[5,4,9,3,2,8,11,7,6,10,1,12]
[9,10,7,8,6,11,3,4,2,5,1,12]=>[5,4,11,3,2,8,10,7,9,6,1,12]
[8,9,7,10,6,11,3,4,2,5,1,12]=>[5,4,11,3,2,10,9,8,7,6,1,12]
[10,11,8,9,5,6,3,4,2,7,1,12]=>[7,4,6,3,9,5,2,11,8,10,1,12]
[9,10,8,11,5,6,3,4,2,7,1,12]=>[7,4,6,3,11,5,2,10,9,8,1,12]
[10,11,8,9,4,5,3,6,2,7,1,12]=>[7,6,5,9,4,3,2,11,8,10,1,12]
[9,10,8,11,4,5,3,6,2,7,1,12]=>[7,6,5,11,4,3,2,10,9,8,1,12]
[10,11,7,8,5,6,3,4,2,9,1,12]=>[9,4,6,3,8,5,11,7,2,10,1,12]
[10,11,6,7,5,8,3,4,2,9,1,12]=>[9,4,8,3,7,11,6,5,2,10,1,12]
[10,11,7,8,4,5,3,6,2,9,1,12]=>[9,6,5,8,4,3,11,7,2,10,1,12]
[10,11,6,7,4,5,3,8,2,9,1,12]=>[9,8,5,7,4,11,6,3,2,10,1,12]
[10,11,5,6,4,7,3,8,2,9,1,12]=>[9,8,7,6,11,5,4,3,2,10,1,12]
[9,10,7,8,5,6,3,4,2,11,1,12]=>[11,4,6,3,8,5,10,7,9,2,1,12]
[8,9,7,10,5,6,3,4,2,11,1,12]=>[11,4,6,3,10,5,9,8,7,2,1,12]
[9,10,6,7,5,8,3,4,2,11,1,12]=>[11,4,8,3,7,10,6,5,9,2,1,12]
[8,9,6,7,5,10,3,4,2,11,1,12]=>[11,4,10,3,7,9,6,8,5,2,1,12]
[7,8,6,9,5,10,3,4,2,11,1,12]=>[11,4,10,3,9,8,7,6,5,2,1,12]
[9,10,7,8,4,5,3,6,2,11,1,12]=>[11,6,5,8,4,3,10,7,9,2,1,12]
[8,9,7,10,4,5,3,6,2,11,1,12]=>[11,6,5,10,4,3,9,8,7,2,1,12]
[9,10,6,7,4,5,3,8,2,11,1,12]=>[11,8,5,7,4,10,6,3,9,2,1,12]
[9,10,5,6,4,7,3,8,2,11,1,12]=>[11,8,7,6,10,5,4,3,9,2,1,12]
[8,9,6,7,4,5,3,10,2,11,1,12]=>[11,10,5,7,4,9,6,8,3,2,1,12]
[7,8,6,9,4,5,3,10,2,11,1,12]=>[11,10,5,9,4,8,7,6,3,2,1,12]
[8,9,5,6,4,7,3,10,2,11,1,12]=>[11,10,7,6,9,5,4,8,3,2,1,12]
[7,8,5,6,4,9,3,10,2,11,1,12]=>[11,10,9,6,8,5,7,4,3,2,1,12]
[6,7,5,8,4,9,3,10,2,11,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]
[1,2,3,4,5,6,7,8,9,11,12,10]=>[1,2,3,4,5,6,7,8,9,12,11,10]
[3,1,4,5,6,7,8,9,10,12,2,11]=>[3,12,1,4,5,6,7,8,9,10,2,11]
[11,12,2,4,6,8,10,1,3,5,7,9]=>[10,12,1,2,3,4,5,6,7,8,11,9]
[9,10,2,4,6,8,12,1,3,5,7,11]=>[12,10,1,2,3,4,5,6,9,8,7,11]
[11,9,12,2,4,6,8,10,1,3,5,7]=>[10,12,1,2,3,4,5,6,11,8,9,7]
[10,11,12,9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,12,10,11,7]
[7,8,2,4,6,10,12,1,3,5,9,11]=>[12,8,1,2,3,4,7,6,5,10,9,11]
[7,8,11,12,2,4,6,10,1,3,5,9]=>[10,12,1,2,3,4,7,8,5,6,11,9]
[9,7,10,2,4,6,8,12,1,3,5,11]=>[12,10,1,2,3,4,9,6,7,8,5,11]
[9,11,7,12,2,4,6,8,10,1,3,5]=>[10,12,1,2,3,4,11,6,9,8,7,5]
[7,10,11,12,9,2,4,6,8,1,3,5]=>[8,9,1,2,3,4,7,6,12,10,11,5]
[8,9,10,7,2,4,6,12,1,3,5,11]=>[12,7,1,2,3,4,10,8,9,6,5,11]
[11,8,9,7,12,2,4,6,10,1,3,5]=>[10,12,1,2,3,4,9,11,8,6,7,5]
[10,11,8,12,7,9,2,4,6,1,3,5]=>[6,9,1,2,3,4,12,11,7,10,8,5]
[9,10,11,12,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,12,9,10,11,5]
[5,6,2,4,8,10,12,1,3,7,9,11]=>[12,6,1,2,5,4,3,8,7,10,9,11]
[5,6,11,12,2,4,8,10,1,3,7,9]=>[10,12,1,2,5,6,3,4,7,8,11,9]
[5,6,9,10,2,4,8,12,1,3,7,11]=>[12,10,1,2,5,6,3,4,9,8,7,11]
[11,5,6,9,12,2,4,8,10,1,3,7]=>[10,12,1,2,11,5,3,4,6,8,9,7]
[10,11,12,5,6,9,2,4,8,1,3,7]=>[8,9,1,2,12,5,3,4,6,10,11,7]
[7,5,8,2,4,6,10,12,1,3,9,11]=>[12,8,1,2,7,4,5,6,3,10,9,11]
[7,5,8,11,12,2,4,6,10,1,3,9]=>[10,12,1,2,7,4,5,8,3,6,11,9]
[7,9,5,10,2,4,6,8,12,1,3,11]=>[12,10,1,2,9,4,7,6,5,8,3,11]
[7,9,11,5,12,2,4,6,8,10,1,3]=>[10,12,1,2,11,4,7,6,9,8,5,3]
[10,7,11,12,5,9,2,4,6,8,1,3]=>[8,9,1,2,12,4,10,6,5,7,11,3]
[5,8,9,10,7,2,4,6,12,1,3,11]=>[12,7,1,2,5,4,10,8,9,6,3,11]
[11,5,8,9,7,12,2,4,6,10,1,3]=>[10,12,1,2,11,4,9,5,8,6,7,3]
[8,10,5,11,12,7,9,2,4,6,1,3]=>[6,9,1,2,10,4,12,8,7,5,11,3]
[9,10,11,12,5,8,7,2,4,6,1,3]=>[6,7,1,2,8,5,12,4,9,10,11,3]
[6,7,8,5,2,4,10,12,1,3,9,11]=>[12,5,1,2,8,6,7,4,3,10,9,11]
[6,7,8,5,11,12,2,4,10,1,3,9]=>[10,12,1,2,8,6,7,5,3,4,11,9]
[9,6,7,5,10,2,4,8,12,1,3,11]=>[12,10,1,2,7,9,6,4,5,8,3,11]
[9,6,7,11,5,12,2,4,8,10,1,3]=>[10,12,1,2,11,9,6,4,7,8,5,3]
[6,10,7,11,12,5,9,2,4,8,1,3]=>[8,9,1,2,12,6,10,4,5,7,11,3]
[8,9,6,10,5,7,2,4,12,1,3,11]=>[12,7,1,2,10,9,5,8,6,4,3,11]
[8,9,11,6,5,7,12,2,4,10,1,3]=>[10,12,1,2,6,11,5,8,9,4,7,3]
[10,8,11,6,12,5,7,9,2,4,1,3]=>[4,9,1,2,12,11,5,10,7,8,6,3]
[9,6,10,11,12,8,5,7,2,4,1,3]=>[4,7,1,2,8,12,6,9,5,10,11,3]
[7,8,9,10,6,5,2,4,12,1,3,11]=>[12,5,1,2,6,10,7,8,9,4,3,11]
[11,7,8,9,6,5,12,2,4,10,1,3]=>[10,12,1,2,6,9,11,7,8,4,5,3]
[10,11,7,8,6,12,5,9,2,4,1,3]=>[4,9,1,2,12,8,11,7,5,10,6,3]
[9,10,11,7,12,6,8,5,2,4,1,3]=>[4,5,1,2,8,12,11,6,9,10,7,3]
[8,9,10,11,12,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,12,8,9,10,11,3]
[3,4,2,6,8,10,12,1,5,7,9,11]=>[12,4,3,2,1,6,5,8,7,10,9,11]
[3,4,11,12,2,6,8,10,1,5,7,9]=>[10,12,3,4,1,2,5,6,7,8,11,9]
[3,4,9,10,2,6,8,12,1,5,7,11]=>[12,10,3,4,1,2,5,6,9,8,7,11]
[11,3,4,9,12,2,6,8,10,1,5,7]=>[10,12,11,3,1,2,5,6,4,8,9,7]
[10,11,12,3,4,9,2,6,8,1,5,7]=>[8,9,12,3,1,2,5,6,4,10,11,7]
[3,4,7,8,2,6,10,12,1,5,9,11]=>[12,8,3,4,1,2,7,6,5,10,9,11]
[3,4,7,8,11,12,2,6,10,1,5,9]=>[10,12,3,4,1,2,7,8,5,6,11,9]
[9,3,4,7,10,2,6,8,12,1,5,11]=>[12,10,9,3,1,2,4,6,7,8,5,11]
[9,11,3,4,7,12,2,6,8,10,1,5]=>[10,12,11,3,1,2,4,6,9,8,7,5]
[3,10,11,12,4,7,9,2,6,8,1,5]=>[8,9,3,12,1,2,4,6,7,10,11,5]
[8,9,10,3,4,7,2,6,12,1,5,11]=>[12,7,10,3,1,2,4,8,9,6,5,11]
[11,8,9,3,4,7,12,2,6,10,1,5]=>[10,12,9,3,1,2,4,11,8,6,7,5]
[10,11,8,12,3,4,7,9,2,6,1,5]=>[6,9,12,3,1,2,4,11,7,10,8,5]
[9,10,11,12,8,3,4,7,2,6,1,5]=>[6,7,8,3,1,2,4,12,9,10,11,5]
[5,3,6,2,4,8,10,12,1,7,9,11]=>[12,6,5,2,3,4,1,8,7,10,9,11]
[5,3,6,11,12,2,4,8,10,1,7,9]=>[10,12,5,2,3,6,1,4,7,8,11,9]
[5,3,6,9,10,2,4,8,12,1,7,11]=>[12,10,5,2,3,6,1,4,9,8,7,11]
[5,11,3,6,9,12,2,4,8,10,1,7]=>[10,12,11,2,5,3,1,4,6,8,9,7]
[5,10,11,12,3,6,9,2,4,8,1,7]=>[8,9,12,2,5,3,1,4,6,10,11,7]
[5,7,3,8,2,4,6,10,12,1,9,11]=>[12,8,7,2,5,4,3,6,1,10,9,11]
[5,7,3,8,11,12,2,4,6,10,1,9]=>[10,12,7,2,5,4,3,8,1,6,11,9]
[5,7,9,3,10,2,4,6,8,12,1,11]=>[12,10,9,2,5,4,7,6,3,8,1,11]
[5,7,9,11,3,12,2,4,6,8,10,1]=>[10,12,11,2,5,4,7,6,9,8,3,1]
[10,5,7,11,12,3,9,2,4,6,8,1]=>[8,9,12,2,10,4,5,6,3,7,11,1]
[8,5,9,10,3,7,2,4,6,12,1,11]=>[12,7,10,2,8,4,3,5,9,6,1,11]
[8,11,5,9,3,7,12,2,4,6,10,1]=>[10,12,9,2,11,4,3,8,5,6,7,1]
[8,10,11,5,12,3,7,9,2,4,6,1]=>[6,9,12,2,11,4,3,8,7,10,5,1]
[5,9,10,11,12,8,3,7,2,4,6,1]=>[6,7,8,2,5,4,3,12,9,10,11,1]
[3,6,7,8,5,2,4,10,12,1,9,11]=>[12,5,3,2,8,6,7,4,1,10,9,11]
[3,6,7,8,5,11,12,2,4,10,1,9]=>[10,12,3,2,8,6,7,5,1,4,11,9]
[9,3,6,7,5,10,2,4,8,12,1,11]=>[12,10,9,2,7,3,6,4,5,8,1,11]
[9,3,6,7,11,5,12,2,4,8,10,1]=>[10,12,9,2,11,3,6,4,7,8,5,1]
[6,10,3,7,11,12,5,9,2,4,8,1]=>[8,9,10,2,12,6,3,4,5,7,11,1]
[6,8,3,9,10,5,7,2,4,12,1,11]=>[12,7,8,2,10,6,5,3,9,4,1,11]
[6,8,9,3,11,5,7,12,2,4,10,1]=>[10,12,9,2,11,6,5,8,3,4,7,1]
[10,6,8,3,11,12,5,7,9,2,4,1]=>[4,9,8,2,12,10,5,6,7,3,11,1]
[9,6,10,11,12,3,8,5,7,2,4,1]=>[4,7,12,2,8,9,5,3,6,10,11,1]
[7,8,9,10,3,6,5,2,4,12,1,11]=>[12,5,6,3,10,2,7,8,9,4,1,11]
[11,7,8,9,3,6,5,12,2,4,10,1]=>[10,12,9,2,6,3,11,7,8,4,5,1]
[10,11,7,8,3,6,12,5,9,2,4,1]=>[4,9,8,2,12,3,11,7,5,10,6,1]
[9,10,11,7,12,3,6,8,5,2,4,1]=>[4,5,8,3,12,2,11,6,9,10,7,1]
[8,9,10,11,12,7,3,6,5,2,4,1]=>[4,5,6,3,7,2,12,8,9,10,11,1]
[4,5,6,3,2,8,10,12,1,7,9,11]=>[12,3,6,4,5,2,1,8,7,10,9,11]
[4,5,6,3,11,12,2,8,10,1,7,9]=>[10,12,6,4,5,3,1,2,7,8,11,9]
[4,5,6,3,9,10,2,8,12,1,7,11]=>[12,10,6,4,5,3,1,2,9,8,7,11]
[4,5,6,11,3,9,12,2,8,10,1,7]=>[10,12,11,4,5,6,1,2,3,8,9,7]
[4,5,6,10,11,12,3,9,2,8,1,7]=>[8,9,12,4,5,6,1,2,3,10,11,7]
[7,4,5,3,8,2,6,10,12,1,9,11]=>[12,8,5,7,4,2,3,6,1,10,9,11]
[7,4,5,3,8,11,12,2,6,10,1,9]=>[10,12,5,7,4,2,3,8,1,6,11,9]
[7,4,5,9,3,10,2,6,8,12,1,11]=>[12,10,9,7,4,2,5,6,3,8,1,11]
[7,4,5,9,11,3,12,2,6,8,10,1]=>[10,12,11,7,4,2,5,6,9,8,3,1]
[7,10,4,5,11,12,3,9,2,6,8,1]=>[8,9,12,10,4,2,7,6,3,5,11,1]
[4,8,5,9,10,3,7,2,6,12,1,11]=>[12,7,10,4,8,2,3,5,9,6,1,11]
[4,8,11,5,9,3,7,12,2,6,10,1]=>[10,12,9,4,11,2,3,8,5,6,7,1]
[4,8,10,11,5,12,3,7,9,2,6,1]=>[6,9,12,4,11,2,3,8,7,10,5,1]
[4,5,9,10,11,12,8,3,7,2,6,1]=>[6,7,8,4,5,2,3,12,9,10,11,1]
[6,7,4,8,3,5,2,10,12,1,9,11]=>[12,5,8,7,3,6,4,2,1,10,9,11]
[6,7,4,8,3,5,11,12,2,10,1,9]=>[10,12,8,7,3,6,4,5,1,2,11,9]
[6,7,9,4,3,5,10,2,8,12,1,11]=>[12,10,4,9,3,6,7,2,5,8,1,11]
[6,7,9,4,11,3,5,12,2,8,10,1]=>[10,12,11,9,3,6,7,2,4,8,5,1]
[10,6,7,4,11,12,3,5,9,2,8,1]=>[8,9,12,7,3,10,6,2,5,4,11,1]
[8,6,9,4,10,3,5,7,2,12,1,11]=>[12,7,10,9,3,8,5,6,4,2,1,11]
[8,6,9,11,4,3,5,7,12,2,10,1]=>[10,12,4,11,3,8,5,6,9,2,7,1]
[8,10,6,11,4,12,3,5,7,9,2,1]=>[2,9,12,11,3,10,5,8,7,6,4,1]
[6,9,4,10,11,12,8,3,5,7,2,1]=>[2,7,8,12,4,6,5,9,3,10,11,1]
[7,4,8,9,10,6,3,5,2,12,1,11]=>[12,5,6,10,4,7,3,8,9,2,1,11]
[7,11,4,8,9,6,3,5,12,2,10,1]=>[10,12,6,9,4,11,7,3,8,2,5,1]
[7,8,10,4,11,6,12,3,5,9,2,1]=>[2,9,12,10,3,11,7,8,5,4,6,1]
[9,7,10,4,11,12,6,8,3,5,2,1]=>[2,5,8,10,3,12,9,6,7,4,11,1]
[4,8,9,10,11,12,7,6,3,5,2,1]=>[2,5,6,4,3,7,12,8,9,10,11,1]
[5,6,7,8,4,3,2,10,12,1,9,11]=>[12,3,4,8,5,6,7,2,1,10,9,11]
[5,6,7,8,4,3,11,12,2,10,1,9]=>[10,12,4,8,5,6,7,3,1,2,11,9]
[9,5,6,7,4,3,10,2,8,12,1,11]=>[12,10,4,7,9,5,6,2,3,8,1,11]
[9,5,6,7,4,11,3,12,2,8,10,1]=>[10,12,11,7,9,5,6,2,4,8,3,1]
[5,10,6,7,4,11,12,3,9,2,8,1]=>[8,9,12,7,5,10,6,2,3,4,11,1]
[8,9,5,6,4,10,3,7,2,12,1,11]=>[12,7,10,6,9,5,3,8,4,2,1,11]
[8,9,5,6,11,4,3,7,12,2,10,1]=>[10,12,4,11,9,5,3,8,6,2,7,1]
[10,8,5,6,11,4,12,3,7,9,2,1]=>[2,9,12,11,8,5,3,10,7,6,4,1]
[9,5,10,6,11,12,4,8,3,7,2,1]=>[2,7,8,12,9,10,3,4,5,6,11,1]
[7,8,9,5,10,4,6,3,2,12,1,11]=>[12,3,6,10,9,4,7,8,5,2,1,11]
[7,8,9,11,5,4,6,3,12,2,10,1]=>[10,12,6,5,11,4,7,8,9,2,3,1]
[10,7,8,11,5,4,6,12,3,9,2,1]=>[2,9,12,5,11,4,10,7,3,8,6,1]
[9,10,7,11,5,12,4,6,8,3,2,1]=>[2,3,8,12,11,4,10,6,9,7,5,1]
[8,9,5,10,11,12,7,4,6,3,2,1]=>[2,3,6,7,12,5,9,8,4,10,11,1]
[6,7,8,9,10,5,4,3,2,12,1,11]=>[12,3,4,5,10,6,7,8,9,2,1,11]
[11,6,7,8,9,5,4,3,12,2,10,1]=>[10,12,4,5,9,11,6,7,8,2,3,1]
[10,11,6,7,8,5,4,12,3,9,2,1]=>[2,9,12,5,8,11,6,7,3,10,4,1]
[9,10,11,6,7,5,12,4,8,3,2,1]=>[2,3,8,12,7,11,6,4,9,10,5,1]
[8,9,10,11,6,12,5,7,4,3,2,1]=>[2,3,4,7,12,11,5,8,9,10,6,1]
[11,2,1,4,6,3,8,5,10,7,12,9]=>[2,11,6,1,8,4,10,3,12,5,7,9]
[2,1,9,4,3,6,8,5,10,7,12,11]=>[2,1,4,9,8,3,10,6,5,7,12,11]
[9,2,1,4,3,6,8,5,11,7,12,10]=>[2,9,4,1,8,3,11,6,5,12,7,10]
[10,9,2,1,4,6,8,3,11,5,12,7]=>[2,9,8,1,10,5,11,6,12,3,7,4]
[2,1,4,3,7,6,5,8,10,9,12,11]=>[2,1,4,3,6,7,5,8,10,9,12,11]
[7,2,1,4,11,6,3,8,10,5,12,9]=>[2,7,6,1,11,10,4,5,12,8,3,9]
[2,1,7,4,3,6,5,9,10,8,12,11]=>[2,1,4,7,6,3,5,10,9,8,12,11]
[7,2,1,4,3,6,5,9,11,8,12,10]=>[2,7,4,1,6,3,5,11,9,12,8,10]
[10,7,2,1,4,6,3,9,11,5,12,8]=>[2,7,6,1,10,5,11,12,3,9,4,8]
[2,1,8,7,4,3,6,9,10,5,12,11]=>[2,1,4,7,8,5,10,6,9,3,12,11]
[8,2,1,7,4,3,6,9,11,5,12,10]=>[2,8,4,7,11,3,1,6,9,12,5,10]
[8,7,2,1,4,3,6,10,11,5,12,9]=>[2,7,4,1,8,5,11,6,12,10,3,9]
[9,8,7,2,1,4,6,10,11,3,12,5]=>[2,7,8,3,9,5,11,12,6,10,1,4]
[2,1,5,4,8,6,10,7,3,9,12,11]=>[2,1,7,5,4,10,8,3,6,9,12,11]
[5,2,1,4,6,3,11,8,7,10,12,9]=>[2,5,6,1,4,3,8,11,12,7,10,9]
[2,1,5,4,3,6,9,8,7,10,12,11]=>[2,1,4,5,3,6,8,9,7,10,12,11]
[5,2,1,4,3,6,9,8,7,11,12,10]=>[2,5,4,1,3,6,8,9,7,12,11,10]
[10,5,2,1,4,6,9,8,3,11,12,7]=>[2,5,10,3,8,4,9,12,6,7,11,1]
[2,1,5,4,7,6,3,10,8,9,12,11]=>[2,1,6,5,4,7,3,10,8,9,12,11]
[5,2,1,4,11,7,3,8,6,10,12,9]=>[2,5,7,1,4,11,8,6,12,3,10,9]
[2,1,5,4,3,7,6,9,8,10,12,11]=>[2,1,4,5,3,7,6,9,8,10,12,11]
[5,2,1,4,3,7,6,9,8,11,12,10]=>[2,5,4,1,3,7,6,9,8,12,11,10]
[10,5,2,1,4,7,3,9,6,11,12,8]=>[2,5,10,3,7,9,4,12,1,6,11,8]
[2,1,8,5,4,3,7,9,6,10,12,11]=>[2,1,4,5,8,9,3,7,6,10,12,11]
[8,2,1,5,4,3,7,9,6,11,12,10]=>[2,8,4,5,1,9,3,7,6,12,11,10]
[8,5,2,1,4,3,7,10,6,11,12,9]=>[2,5,4,1,8,10,3,7,12,6,11,9]
[9,8,5,2,1,4,7,10,3,11,12,6]=>[2,5,8,1,9,10,4,12,7,6,11,3]
[2,1,6,5,10,7,4,3,8,9,12,11]=>[2,1,4,7,6,5,10,3,8,9,12,11]
[6,2,1,5,11,7,4,3,8,10,12,9]=>[2,6,4,7,1,5,11,3,12,8,10,9]
[2,1,6,5,4,9,7,3,8,10,12,11]=>[2,1,7,5,6,4,9,3,8,10,12,11]
[6,2,1,5,4,9,7,3,8,11,12,10]=>[2,6,7,5,1,4,9,3,8,12,11,10]
[6,5,2,1,4,10,7,3,9,11,12,8]=>[2,5,6,3,7,4,10,12,1,9,11,8]
[2,1,6,5,4,3,8,7,9,10,12,11]=>[2,1,4,5,6,3,8,7,9,10,12,11]
[6,2,1,5,4,3,8,7,9,11,12,10]=>[2,6,4,5,1,3,8,7,9,12,11,10]
[6,5,2,1,4,3,8,7,10,11,12,9]=>[2,5,4,1,6,3,8,7,12,10,11,9]
[9,6,5,2,1,4,8,3,10,11,12,7]=>[2,5,6,1,9,8,12,4,3,10,11,7]
[2,1,7,6,5,4,3,8,9,10,12,11]=>[2,1,4,5,6,7,3,8,9,10,12,11]
[7,2,1,6,5,4,3,8,9,11,12,10]=>[2,7,4,5,6,1,3,8,9,12,11,10]
[7,6,2,1,5,4,3,8,10,11,12,9]=>[2,6,4,5,1,7,3,8,12,10,11,9]
[7,6,5,2,1,4,3,9,10,11,12,8]=>[2,5,4,1,6,7,3,12,9,10,11,8]
[8,7,6,5,2,1,4,9,10,11,12,3]=>[2,5,6,3,7,8,12,4,9,10,11,1]
[3,2,6,4,8,5,10,7,12,9,1,11]=>[9,3,2,6,8,4,12,5,10,1,7,11]
[3,2,1,4,6,5,8,7,11,10,9,12]=>[2,3,1,4,6,5,8,7,10,11,9,12]
[3,2,6,4,1,5,9,8,12,10,7,11]=>[4,3,2,6,1,5,10,9,8,12,7,11]
[3,2,1,6,4,5,9,8,11,10,7,12]=>[2,3,1,6,4,5,10,9,8,11,7,12]
[10,3,2,1,4,6,9,5,11,8,7,12]=>[2,3,10,1,9,4,8,11,6,5,7,12]
[3,2,7,4,10,6,1,8,12,9,5,11]=>[6,3,2,10,7,9,5,4,12,8,1,11]
[3,2,1,4,7,6,5,8,11,10,9,12]=>[2,3,1,4,6,7,5,8,10,11,9,12]
[3,2,7,4,1,9,6,8,12,10,5,11]=>[4,3,2,7,10,9,1,6,8,12,5,11]
[3,2,1,7,4,9,6,8,11,10,5,12]=>[2,3,1,7,10,9,4,6,8,11,5,12]
[10,3,2,1,4,7,6,9,11,8,5,12]=>[2,3,10,1,8,7,4,11,6,9,5,12]
[3,2,8,7,4,1,6,9,12,10,5,11]=>[4,3,2,7,8,5,10,6,9,12,1,11]
[8,3,2,7,4,1,6,9,11,10,5,12]=>[4,3,7,8,10,2,1,6,9,11,5,12]
[8,3,2,1,7,4,6,10,11,9,5,12]=>[2,3,8,7,9,4,1,6,11,10,5,12]
[9,8,3,2,1,4,7,10,11,6,5,12]=>[2,3,8,1,6,9,5,11,7,10,4,12]
[3,2,5,4,8,6,10,7,1,12,9,11]=>[7,3,2,5,4,10,8,1,12,6,9,11]
[3,2,1,5,6,4,11,8,7,10,9,12]=>[2,3,1,6,5,4,8,11,10,7,9,12]
[3,2,5,4,1,6,9,8,7,12,10,11]=>[4,3,2,5,1,6,8,9,7,12,10,11]
[3,2,1,5,4,6,9,8,7,11,10,12]=>[2,3,1,5,4,6,8,9,7,11,10,12]
[10,3,2,1,5,6,9,8,4,11,7,12]=>[2,3,10,8,1,5,9,11,6,7,4,12]
[3,2,1,5,11,7,4,8,6,10,9,12]=>[2,3,1,7,5,11,8,6,10,4,9,12]
[3,2,5,4,1,7,6,9,8,12,10,11]=>[4,3,2,5,1,7,6,9,8,12,10,11]
[3,2,1,5,4,7,6,9,8,11,10,12]=>[2,3,1,5,4,7,6,9,8,11,10,12]
[10,3,2,1,5,7,4,9,6,11,8,12]=>[2,3,10,7,1,9,5,11,4,6,8,12]
[3,2,8,5,4,1,7,9,6,12,10,11]=>[4,3,2,5,8,9,1,7,6,12,10,11]
[8,3,2,5,4,1,7,9,6,11,10,12]=>[4,3,5,8,1,9,2,7,6,11,10,12]
[8,3,2,1,5,4,7,10,6,11,9,12]=>[2,3,8,5,1,10,4,7,11,6,9,12]
[9,8,3,2,1,5,7,10,4,11,6,12]=>[2,3,8,9,4,10,5,11,7,6,1,12]
[3,2,6,5,10,7,4,1,8,12,9,11]=>[4,3,2,7,6,5,10,1,12,8,9,11]
[6,3,2,5,11,7,4,1,8,10,9,12]=>[4,3,7,6,1,5,11,2,10,8,9,12]
[3,2,6,5,4,9,7,1,8,12,10,11]=>[7,3,2,5,6,4,9,1,8,12,10,11]
[6,3,2,5,4,9,7,1,8,11,10,12]=>[7,3,6,5,2,4,9,1,8,11,10,12]
[6,3,2,1,5,10,7,4,9,11,8,12]=>[2,3,6,7,1,5,10,11,4,9,8,12]
[3,2,6,5,4,1,8,7,9,12,10,11]=>[4,3,2,5,6,1,8,7,9,12,10,11]
[6,3,2,5,4,1,8,7,9,11,10,12]=>[4,3,5,6,1,2,8,7,9,11,10,12]
[6,3,2,1,5,4,8,7,10,11,9,12]=>[2,3,6,5,1,4,8,7,11,10,9,12]
[9,6,3,2,1,5,8,4,10,11,7,12]=>[2,3,6,9,4,8,11,5,1,10,7,12]
[3,2,7,6,5,4,1,8,9,12,10,11]=>[4,3,2,5,6,7,1,8,9,12,10,11]
[7,3,2,6,5,4,1,8,9,11,10,12]=>[4,3,5,6,7,2,1,8,9,11,10,12]
[7,6,3,2,5,4,1,8,10,11,9,12]=>[4,3,5,6,1,7,2,8,11,10,9,12]
[7,6,3,2,1,5,4,9,10,11,8,12]=>[2,3,6,5,1,7,4,11,9,10,8,12]
[8,7,6,3,2,1,5,9,10,11,4,12]=>[2,3,6,7,1,8,11,5,9,10,4,12]
[4,3,8,5,10,6,12,7,2,1,9,11]=>[2,7,4,3,12,8,10,6,5,1,9,11]
[4,3,2,5,8,6,11,10,7,1,9,12]=>[7,3,4,2,5,10,8,1,6,11,9,12]
[4,3,9,5,2,6,12,8,7,1,10,11]=>[7,5,4,3,8,2,12,9,6,1,10,11]
[4,3,2,9,5,6,11,8,7,1,10,12]=>[7,3,4,2,8,5,11,9,6,1,10,12]
[4,3,2,1,5,6,10,9,8,7,11,12]=>[2,3,4,1,5,6,8,9,10,7,11,12]
[4,3,7,5,10,6,2,12,8,1,9,11]=>[8,6,4,3,12,7,2,10,5,1,9,11]
[4,3,2,5,11,7,6,10,8,1,9,12]=>[8,3,4,2,5,7,10,11,6,1,9,12]
[4,3,7,5,2,9,6,12,8,1,10,11]=>[8,5,4,3,7,12,2,9,1,6,10,11]
[4,3,2,7,5,9,6,11,8,1,10,12]=>[8,3,4,2,7,11,5,9,1,6,10,12]
[4,3,2,1,5,7,6,10,9,8,11,12]=>[2,3,4,1,5,7,6,9,10,8,11,12]
[4,3,8,5,2,1,7,12,9,6,10,11]=>[2,5,4,3,8,9,1,7,12,6,10,11]
[4,3,2,8,5,1,7,11,9,6,10,12]=>[5,3,4,2,8,9,1,7,11,6,10,12]
[4,3,2,1,8,5,7,10,9,6,11,12]=>[2,3,4,1,8,9,5,7,10,6,11,12]
[9,4,3,2,1,5,8,10,7,6,11,12]=>[2,3,4,9,1,7,10,5,8,6,11,12]
[4,3,6,5,10,7,2,1,12,8,9,11]=>[2,7,4,3,6,5,10,12,8,1,9,11]
[4,3,2,6,11,7,5,1,10,8,9,12]=>[5,3,4,2,7,6,11,10,8,1,9,12]
[4,3,6,5,2,9,7,1,12,8,10,11]=>[7,5,4,3,6,2,9,12,1,8,10,11]
[4,3,2,6,5,9,7,1,11,8,10,12]=>[7,3,4,2,6,5,9,11,1,8,10,12]
[4,3,2,1,6,10,7,5,9,8,11,12]=>[2,3,4,1,7,6,10,9,5,8,11,12]
[4,3,6,5,2,1,8,7,12,9,10,11]=>[2,5,4,3,6,1,8,7,12,9,10,11]
[4,3,2,6,5,1,8,7,11,9,10,12]=>[5,3,4,2,6,1,8,7,11,9,10,12]
[4,3,2,1,6,5,8,7,10,9,11,12]=>[2,3,4,1,6,5,8,7,10,9,11,12]
[9,4,3,2,1,6,8,5,10,7,11,12]=>[2,3,4,9,8,1,10,6,5,7,11,12]
[4,3,7,6,5,2,1,8,12,9,10,11]=>[2,5,4,3,6,7,1,8,12,9,10,11]
[7,4,3,6,5,2,1,8,11,9,10,12]=>[2,5,4,6,7,1,3,8,11,9,10,12]
[7,4,3,2,6,5,1,8,10,9,11,12]=>[5,3,4,6,7,1,2,8,10,9,11,12]
[7,4,3,2,1,6,5,9,10,8,11,12]=>[2,3,4,7,6,1,5,10,9,8,11,12]
[8,7,4,3,2,1,6,9,10,5,11,12]=>[2,3,4,7,8,5,10,6,9,1,11,12]
[5,4,10,6,12,7,3,2,1,8,9,11]=>[2,3,7,5,4,12,10,6,8,1,9,11]
[5,4,3,6,11,10,7,2,1,8,9,12]=>[2,7,4,5,3,6,10,1,8,11,9,12]
[5,4,9,6,3,12,7,2,1,8,10,11]=>[2,7,6,5,4,12,9,3,1,8,10,11]
[5,4,3,9,6,11,7,2,1,8,10,12]=>[2,7,4,5,3,11,9,6,1,8,10,12]
[5,4,3,2,6,10,9,7,1,8,11,12]=>[7,3,4,5,2,6,9,1,10,8,11,12]
[5,4,8,6,3,2,12,7,1,9,10,11]=>[7,3,6,5,4,12,8,1,2,9,10,11]
[5,4,3,8,6,2,11,7,1,9,10,12]=>[7,6,4,5,3,11,8,1,2,9,10,12]
[5,4,3,2,8,6,10,7,1,9,11,12]=>[7,3,4,5,2,10,8,1,6,9,11,12]
[5,4,3,2,1,6,9,8,7,10,11,12]=>[2,3,4,5,1,6,8,9,7,10,11,12]
[5,4,7,6,3,2,1,12,8,9,10,11]=>[2,3,6,5,4,7,1,12,8,9,10,11]
[5,4,3,7,6,2,1,11,8,9,10,12]=>[2,6,4,5,3,7,1,11,8,9,10,12]
[5,4,3,2,7,6,1,10,8,9,11,12]=>[6,3,4,5,2,7,1,10,8,9,11,12]
[5,4,3,2,1,7,6,9,8,10,11,12]=>[2,3,4,5,1,7,6,9,8,10,11,12]
[8,5,4,3,2,1,7,9,6,10,11,12]=>[2,3,4,5,8,9,1,7,6,10,11,12]
[6,5,12,7,4,3,2,1,8,9,10,11]=>[2,3,4,7,6,5,12,1,8,9,10,11]
[6,5,4,11,7,3,2,1,8,9,10,12]=>[2,3,7,5,6,4,11,1,8,9,10,12]
[6,5,4,3,10,7,2,1,8,9,11,12]=>[2,7,4,5,6,3,10,1,8,9,11,12]
[6,5,4,3,2,9,7,1,8,10,11,12]=>[7,3,4,5,6,2,9,1,8,10,11,12]
[6,5,4,3,2,1,8,7,9,10,11,12]=>[2,3,4,5,6,1,8,7,9,10,11,12]
[7,6,5,4,3,2,1,8,9,10,11,12]=>[2,3,4,5,6,7,1,8,9,10,11,12]
[12,11,2,1,4,3,6,5,8,7,10,9]=>[2,11,4,1,6,3,8,5,10,7,12,9]
[2,1,10,9,4,3,6,5,8,7,12,11]=>[2,1,4,9,6,3,8,5,10,7,12,11]
[12,2,1,9,4,3,6,5,8,7,11,10]=>[2,12,4,9,6,3,8,5,1,11,7,10]
[12,11,10,9,2,1,4,3,6,5,8,7]=>[2,9,4,1,6,3,8,5,10,11,12,7]
[8,7,2,1,12,11,4,3,6,5,10,9]=>[2,7,4,8,6,1,11,3,10,5,12,9]
[2,1,10,4,3,7,6,5,9,8,12,11]=>[2,1,4,10,6,7,3,9,5,8,12,11]
[12,2,1,4,3,7,6,5,9,8,11,10]=>[2,12,4,1,6,7,3,9,5,11,8,10]
[12,11,10,2,1,7,4,3,6,5,9,8]=>[2,10,4,7,6,3,1,9,5,11,12,8]
[2,1,10,9,8,7,4,3,6,5,12,11]=>[2,1,4,7,6,3,8,9,10,5,12,11]
[12,2,1,9,8,7,4,3,6,5,11,10]=>[2,12,4,7,6,3,8,9,1,11,5,10]
[12,11,2,1,8,7,4,3,6,5,10,9]=>[2,11,4,7,6,3,8,1,10,5,12,9]
[12,11,10,9,8,7,2,1,4,3,6,5]=>[2,7,4,1,6,3,8,9,10,11,12,5]
[2,1,6,5,8,7,10,9,4,3,12,11]=>[2,1,4,9,6,5,8,7,10,3,12,11]
[6,5,2,1,4,3,12,11,8,7,10,9]=>[2,5,4,1,6,3,8,11,10,7,12,9]
[6,2,1,5,4,3,12,9,8,7,11,10]=>[2,6,4,5,1,3,8,9,12,11,7,10]
[12,11,6,5,2,1,10,9,4,3,8,7]=>[2,5,4,6,11,9,8,3,10,1,12,7]
[2,1,5,4,8,7,6,10,9,3,12,11]=>[2,1,9,5,4,7,8,6,10,3,12,11]
[8,5,2,1,12,4,3,11,7,6,10,9]=>[2,5,4,8,12,7,11,3,10,6,1,9]
[12,2,1,5,4,7,6,9,8,3,11,10]=>[2,12,8,5,1,7,4,9,6,11,3,10]
[12,11,10,2,1,5,4,7,6,3,9,8]=>[2,10,6,5,1,7,4,9,3,11,12,8]
[2,1,10,9,8,5,4,7,6,3,12,11]=>[2,1,6,5,7,8,3,9,10,4,12,11]
[12,2,1,9,8,5,4,7,6,3,11,10]=>[2,12,6,5,7,8,3,9,1,11,4,10]
[12,11,2,1,8,5,4,7,6,3,10,9]=>[2,11,6,5,7,8,3,1,10,4,12,9]
[12,11,10,9,8,2,1,5,4,3,7,6]=>[2,8,4,5,1,7,3,9,10,11,12,6]
[2,1,8,7,10,9,6,5,4,3,12,11]=>[2,1,4,5,6,9,8,7,10,3,12,11]
[8,7,2,1,12,11,6,5,4,3,10,9]=>[2,7,4,5,6,8,11,3,10,1,12,9]
[2,1,10,7,6,9,8,5,4,3,12,11]=>[2,1,4,5,8,7,9,10,3,6,12,11]
[12,2,1,7,6,9,8,5,4,3,11,10]=>[2,12,4,5,8,7,1,9,6,11,3,10]
[12,7,6,2,1,11,10,5,4,3,9,8]=>[2,6,4,5,7,12,10,9,3,11,1,8]
[12,2,1,9,6,5,8,7,4,3,11,10]=>[2,12,4,7,6,8,9,3,1,11,5,10]
[12,11,2,1,6,5,8,7,4,3,10,9]=>[2,11,4,7,6,1,8,5,10,3,12,9]
[12,11,10,9,2,1,6,5,4,3,8,7]=>[2,9,4,5,6,1,8,3,10,11,12,7]
[12,2,1,9,8,7,6,5,4,3,11,10]=>[2,12,4,5,6,7,8,9,1,11,3,10]
[12,11,2,1,8,7,6,5,4,3,10,9]=>[2,11,4,5,6,7,8,1,10,3,12,9]
[12,11,10,2,1,7,6,5,4,3,9,8]=>[2,10,4,5,6,7,1,9,3,11,12,8]
[12,11,10,9,8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,9,10,11,12,3]
[4,3,6,5,8,7,10,9,12,11,2,1]=>[2,11,4,3,6,5,8,7,10,9,12,1]
[4,3,6,5,2,1,10,9,12,11,8,7]=>[2,5,4,3,6,1,8,11,10,9,12,7]
[4,3,2,6,5,1,9,8,12,11,10,7]=>[5,3,4,2,6,1,10,9,8,11,12,7]
[12,11,4,3,2,1,6,5,10,9,8,7]=>[2,3,4,11,6,1,8,9,10,5,12,7]
[4,3,8,7,10,9,2,1,12,11,6,5]=>[2,9,4,3,6,10,8,7,11,5,12,1]
[4,3,7,6,2,10,9,1,12,11,8,5]=>[9,6,4,3,7,8,5,10,11,2,12,1]
[4,3,2,7,6,9,8,1,12,11,10,5]=>[8,3,4,2,9,7,6,10,5,11,12,1]
[12,11,4,3,2,7,6,1,10,9,8,5]=>[6,3,4,7,11,8,5,9,10,2,12,1]
[4,3,10,9,8,7,2,1,12,11,6,5]=>[2,7,4,3,6,8,9,10,11,5,12,1]
[12,4,3,9,8,7,2,1,11,10,6,5]=>[2,7,4,8,6,9,12,10,1,11,5,3]
[12,11,4,3,8,7,2,1,10,9,6,5]=>[2,7,4,8,6,11,9,5,10,3,12,1]
[12,11,10,9,4,3,2,1,8,7,6,5]=>[2,3,4,9,6,7,8,1,10,11,12,5]
[3,2,6,5,8,7,10,9,4,12,11,1]=>[11,3,2,9,6,5,8,7,10,4,12,1]
[6,3,2,1,5,4,12,8,7,11,10,9]=>[2,3,6,5,1,4,8,12,10,11,7,9]
[3,2,6,5,4,1,10,9,8,12,11,7]=>[4,3,2,5,6,1,11,9,10,8,12,7]
[12,11,6,3,2,1,10,5,4,9,8,7]=>[2,3,6,5,11,10,8,9,1,4,12,7]
[3,2,5,4,8,7,6,10,9,12,11,1]=>[11,3,2,5,4,7,8,6,10,9,12,1]
[8,3,2,1,12,5,4,7,6,11,10,9]=>[2,3,8,5,12,7,4,1,10,11,6,9]
[3,2,10,5,4,7,6,9,8,12,11,1]=>[11,3,2,5,10,7,4,9,6,8,12,1]
[12,11,10,3,2,5,4,7,6,9,8,1]=>[8,3,9,5,1,7,4,10,6,11,12,2]
[3,2,10,9,8,5,4,7,6,12,11,1]=>[11,3,2,5,8,7,4,9,10,6,12,1]
[12,3,2,9,8,5,4,7,6,11,10,1]=>[10,3,11,5,8,7,4,9,1,12,6,2]
[12,11,3,2,8,5,4,7,6,10,9,1]=>[9,3,10,5,8,7,4,1,11,6,12,2]
[12,11,10,9,8,3,2,5,4,7,6,1]=>[6,3,7,5,1,8,4,9,10,11,12,2]
[3,2,8,7,10,9,6,5,4,12,11,1]=>[11,3,2,5,6,9,8,7,10,4,12,1]
[8,7,3,2,12,11,6,5,4,10,9,1]=>[9,3,7,5,6,8,10,4,11,1,12,2]
[3,2,10,7,6,9,8,5,4,12,11,1]=>[11,3,2,5,8,7,9,10,4,6,12,1]
[12,3,2,7,6,9,8,5,4,11,10,1]=>[10,3,11,5,8,7,1,9,6,12,4,2]
[12,7,6,3,2,11,10,5,4,9,8,1]=>[8,3,6,5,7,9,12,10,1,11,4,2]
[3,2,10,9,6,5,8,7,4,12,11,1]=>[11,3,2,7,6,8,9,4,10,5,12,1]
[12,11,3,2,6,5,8,7,4,10,9,1]=>[9,3,10,7,6,1,8,5,11,4,12,2]
[12,11,10,9,3,2,6,5,4,8,7,1]=>[7,3,8,5,6,1,9,4,10,11,12,2]
[3,2,10,9,8,7,6,5,4,12,11,1]=>[11,3,2,5,6,7,8,9,10,4,12,1]
[12,11,3,2,8,7,6,5,4,10,9,1]=>[9,3,10,5,6,7,8,1,11,4,12,2]
[12,11,10,3,2,7,6,5,4,9,8,1]=>[8,3,9,5,6,7,1,10,4,11,12,2]
[12,11,10,9,8,7,6,3,2,5,4,1]=>[4,3,5,6,1,7,8,9,10,11,12,2]
[6,5,8,7,10,9,12,11,4,3,2,1]=>[2,3,4,11,6,5,8,7,10,9,12,1]
[6,5,4,3,8,7,12,11,10,9,2,1]=>[2,9,4,5,6,3,8,7,10,11,12,1]
[6,5,10,9,4,3,12,11,8,7,2,1]=>[2,7,4,8,6,5,11,9,10,3,12,1]
[6,5,4,9,8,3,12,11,10,7,2,1]=>[2,7,10,5,6,4,8,9,1,11,12,3]
[5,4,8,7,10,9,6,12,11,3,2,1]=>[2,3,11,5,4,9,8,7,10,6,12,1]
[8,5,4,3,12,7,6,11,10,9,2,1]=>[2,9,4,5,8,7,10,3,11,12,6,1]
[5,4,10,7,6,9,8,12,11,3,2,1]=>[2,3,11,5,4,7,10,9,6,8,12,1]
[12,5,4,7,6,9,8,11,10,3,2,1]=>[2,3,10,5,11,7,1,9,6,12,8,4]
[5,4,10,9,8,3,2,12,11,7,6,1]=>[6,3,7,5,4,11,8,9,10,2,12,1]
[12,5,4,9,8,3,2,11,10,7,6,1]=>[6,3,7,5,10,8,9,11,4,12,2,1]
[12,5,4,3,8,7,2,11,10,9,6,1]=>[6,9,4,5,7,8,10,3,11,12,1,2]
[12,11,10,5,4,3,2,9,8,7,6,1]=>[6,3,4,5,7,8,9,10,1,11,12,2]
[4,3,8,7,10,9,6,5,12,11,2,1]=>[2,11,4,3,6,9,8,7,10,5,12,1]
[8,7,4,3,12,11,6,5,10,9,2,1]=>[2,9,4,7,6,8,10,5,11,1,12,3]
[4,3,10,7,6,9,8,5,12,11,2,1]=>[2,11,4,3,8,7,9,10,5,6,12,1]
[12,4,3,7,6,9,8,5,11,10,2,1]=>[2,10,4,11,8,7,1,9,6,12,5,3]
[12,7,4,3,2,11,6,5,10,9,8,1]=>[8,3,4,7,6,9,10,12,11,5,1,2]
[4,3,10,9,6,5,8,7,12,11,2,1]=>[2,11,4,3,6,9,8,5,10,7,12,1]
[12,4,3,9,6,5,8,7,11,10,2,1]=>[2,10,4,11,6,9,8,5,1,12,7,3]
[12,11,10,9,4,3,6,5,8,7,2,1]=>[2,7,4,8,6,1,9,5,10,11,12,3]
[4,3,10,9,8,7,6,5,12,11,2,1]=>[2,11,4,3,6,7,8,9,10,5,12,1]
[12,4,3,9,8,7,6,5,11,10,2,1]=>[2,10,4,11,6,7,8,9,1,12,5,3]
[12,11,10,4,3,7,6,5,9,8,2,1]=>[2,8,4,9,6,7,1,10,5,11,12,3]
[12,11,10,9,8,7,4,3,6,5,2,1]=>[2,5,4,6,7,1,8,9,10,11,12,3]
[8,7,10,9,12,11,6,5,4,3,2,1]=>[2,3,4,5,6,11,8,7,10,9,12,1]
[8,7,6,5,12,11,10,9,4,3,2,1]=>[2,3,4,9,6,7,8,5,10,11,12,1]
[7,6,10,9,8,12,11,5,4,3,2,1]=>[2,3,4,5,11,7,6,9,10,8,12,1]
[12,7,6,9,8,11,10,5,4,3,2,1]=>[2,3,4,5,10,7,11,9,1,12,8,6]
[12,7,6,5,4,11,10,9,8,3,2,1]=>[2,3,8,5,6,7,9,10,11,12,1,4]
[6,5,10,9,8,7,12,11,4,3,2,1]=>[2,3,4,11,6,5,8,9,10,7,12,1]
[12,6,5,9,8,7,11,10,4,3,2,1]=>[2,3,4,10,6,11,8,9,1,12,7,5]
[12,11,6,5,8,7,10,9,4,3,2,1]=>[2,3,4,9,6,10,8,1,11,7,12,5]
[5,4,10,9,8,7,6,12,11,3,2,1]=>[2,3,11,5,4,7,8,9,10,6,12,1]
[12,5,4,9,8,7,6,11,10,3,2,1]=>[2,3,10,5,11,7,8,9,1,12,6,4]
[12,11,5,4,8,7,6,10,9,3,2,1]=>[2,3,9,5,10,7,8,1,11,6,12,4]
[12,11,10,9,8,5,4,7,6,3,2,1]=>[2,3,6,5,7,8,1,9,10,11,12,4]
[10,9,12,11,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,11,10,9,12,1]
[12,9,8,11,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,9,11,12,1,8]
[12,11,8,7,10,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,10,11,1,12,7]
[12,11,10,7,6,9,8,5,4,3,2,1]=>[2,3,4,5,8,7,9,10,1,11,12,6]
[2,1,4,3,6,5,8,7,9,11,12,10]=>[2,1,4,3,6,5,8,7,9,12,11,10]
[2,1,4,3,6,5,7,9,10,8,12,11]=>[2,1,4,3,6,5,7,10,9,8,12,11]
[2,1,4,3,6,5,7,9,8,11,12,10]=>[2,1,4,3,6,5,7,9,8,12,11,10]
[2,1,4,3,6,5,7,8,10,11,12,9]=>[2,1,4,3,6,5,7,8,12,10,11,9]
[2,1,4,3,5,7,8,6,10,9,12,11]=>[2,1,4,3,5,8,7,6,10,9,12,11]
[2,1,4,3,5,7,8,6,9,11,12,10]=>[2,1,4,3,5,8,7,6,9,12,11,10]
[2,1,4,3,5,7,6,9,10,8,12,11]=>[2,1,4,3,5,7,6,10,9,8,12,11]
[2,1,4,3,5,7,6,9,8,11,12,10]=>[2,1,4,3,5,7,6,9,8,12,11,10]
[2,1,4,3,5,7,6,8,10,11,12,9]=>[2,1,4,3,5,7,6,8,12,10,11,9]
[2,1,4,3,5,6,8,9,10,7,12,11]=>[2,1,4,3,5,6,10,8,9,7,12,11]
[2,1,4,3,5,6,8,9,7,11,12,10]=>[2,1,4,3,5,6,9,8,7,12,11,10]
[2,1,4,3,5,6,8,7,10,11,12,9]=>[2,1,4,3,5,6,8,7,12,10,11,9]
[2,1,4,3,5,6,7,9,10,11,12,8]=>[2,1,4,3,5,6,7,12,9,10,11,8]
[2,1,3,5,6,4,8,7,10,9,12,11]=>[2,1,3,6,5,4,8,7,10,9,12,11]
[2,1,3,5,6,4,8,7,9,11,12,10]=>[2,1,3,6,5,4,8,7,9,12,11,10]
[2,1,3,5,6,4,7,9,10,8,12,11]=>[2,1,3,6,5,4,7,10,9,8,12,11]
[2,1,3,5,6,4,7,9,8,11,12,10]=>[2,1,3,6,5,4,7,9,8,12,11,10]
[2,1,3,5,6,4,7,8,10,11,12,9]=>[2,1,3,6,5,4,7,8,12,10,11,9]
[2,1,3,5,4,7,8,6,10,9,12,11]=>[2,1,3,5,4,8,7,6,10,9,12,11]
[2,1,3,5,4,7,8,6,9,11,12,10]=>[2,1,3,5,4,8,7,6,9,12,11,10]
[2,1,3,5,4,7,6,9,10,8,12,11]=>[2,1,3,5,4,7,6,10,9,8,12,11]
[2,1,3,5,4,7,6,9,8,11,12,10]=>[2,1,3,5,4,7,6,9,8,12,11,10]
[2,1,3,5,4,7,6,8,10,11,12,9]=>[2,1,3,5,4,7,6,8,12,10,11,9]
[2,1,3,5,4,6,8,9,10,7,12,11]=>[2,1,3,5,4,6,10,8,9,7,12,11]
[2,1,3,5,4,6,8,9,7,11,12,10]=>[2,1,3,5,4,6,9,8,7,12,11,10]
[2,1,3,5,4,6,8,7,10,11,12,9]=>[2,1,3,5,4,6,8,7,12,10,11,9]
[2,1,3,5,4,6,7,9,10,11,12,8]=>[2,1,3,5,4,6,7,12,9,10,11,8]
[2,1,3,4,6,7,8,5,10,9,12,11]=>[2,1,3,4,8,6,7,5,10,9,12,11]
[2,1,3,4,6,7,8,5,9,11,12,10]=>[2,1,3,4,8,6,7,5,9,12,11,10]
[2,1,3,4,6,7,5,9,10,8,12,11]=>[2,1,3,4,7,6,5,10,9,8,12,11]
[2,1,3,4,6,7,5,9,8,11,12,10]=>[2,1,3,4,7,6,5,9,8,12,11,10]
[2,1,3,4,6,7,5,8,10,11,12,9]=>[2,1,3,4,7,6,5,8,12,10,11,9]
[2,1,3,4,6,5,8,9,10,7,12,11]=>[2,1,3,4,6,5,10,8,9,7,12,11]
[2,1,3,4,6,5,8,9,7,11,12,10]=>[2,1,3,4,6,5,9,8,7,12,11,10]
[2,1,3,4,6,5,8,7,10,11,12,9]=>[2,1,3,4,6,5,8,7,12,10,11,9]
[2,1,3,4,6,5,7,9,10,11,12,8]=>[2,1,3,4,6,5,7,12,9,10,11,8]
[2,1,3,4,5,7,8,9,10,6,12,11]=>[2,1,3,4,5,10,7,8,9,6,12,11]
[2,1,3,4,5,7,8,9,6,11,12,10]=>[2,1,3,4,5,9,7,8,6,12,11,10]
[2,1,3,4,5,7,8,6,10,11,12,9]=>[2,1,3,4,5,8,7,6,12,10,11,9]
[2,1,3,4,5,7,6,9,10,11,12,8]=>[2,1,3,4,5,7,6,12,9,10,11,8]
[2,1,3,4,5,6,8,9,10,11,12,7]=>[2,1,3,4,5,6,12,8,9,10,11,7]
[1,3,4,2,6,5,8,7,10,9,12,11]=>[1,4,3,2,6,5,8,7,10,9,12,11]
[1,3,4,2,6,5,8,7,9,11,12,10]=>[1,4,3,2,6,5,8,7,9,12,11,10]
[1,3,4,2,6,5,7,9,10,8,12,11]=>[1,4,3,2,6,5,7,10,9,8,12,11]
[1,3,4,2,6,5,7,9,8,11,12,10]=>[1,4,3,2,6,5,7,9,8,12,11,10]
[1,3,4,2,6,5,7,8,10,11,12,9]=>[1,4,3,2,6,5,7,8,12,10,11,9]
[1,3,4,2,5,7,8,6,10,9,12,11]=>[1,4,3,2,5,8,7,6,10,9,12,11]
[1,3,4,2,5,7,8,6,9,11,12,10]=>[1,4,3,2,5,8,7,6,9,12,11,10]
[1,3,4,2,5,7,6,9,10,8,12,11]=>[1,4,3,2,5,7,6,10,9,8,12,11]
[1,3,4,2,5,7,6,9,8,11,12,10]=>[1,4,3,2,5,7,6,9,8,12,11,10]
[1,3,4,2,5,7,6,8,10,11,12,9]=>[1,4,3,2,5,7,6,8,12,10,11,9]
[1,3,4,2,5,6,8,9,10,7,12,11]=>[1,4,3,2,5,6,10,8,9,7,12,11]
[1,3,4,2,5,6,8,9,7,11,12,10]=>[1,4,3,2,5,6,9,8,7,12,11,10]
[1,3,4,2,5,6,8,7,10,11,12,9]=>[1,4,3,2,5,6,8,7,12,10,11,9]
[1,3,4,2,5,6,7,9,10,11,12,8]=>[1,4,3,2,5,6,7,12,9,10,11,8]
[1,3,2,5,6,4,8,7,10,9,12,11]=>[1,3,2,6,5,4,8,7,10,9,12,11]
[1,3,2,5,6,4,8,7,9,11,12,10]=>[1,3,2,6,5,4,8,7,9,12,11,10]
[1,3,2,5,6,4,7,9,10,8,12,11]=>[1,3,2,6,5,4,7,10,9,8,12,11]
[1,3,2,5,6,4,7,9,8,11,12,10]=>[1,3,2,6,5,4,7,9,8,12,11,10]
[1,3,2,5,6,4,7,8,10,11,12,9]=>[1,3,2,6,5,4,7,8,12,10,11,9]
[1,3,2,5,4,7,8,6,10,9,12,11]=>[1,3,2,5,4,8,7,6,10,9,12,11]
[1,3,2,5,4,7,8,6,9,11,12,10]=>[1,3,2,5,4,8,7,6,9,12,11,10]
[1,3,2,5,4,7,6,9,10,8,12,11]=>[1,3,2,5,4,7,6,10,9,8,12,11]
[1,3,2,5,4,7,6,9,8,11,12,10]=>[1,3,2,5,4,7,6,9,8,12,11,10]
[1,3,2,5,4,7,6,8,10,11,12,9]=>[1,3,2,5,4,7,6,8,12,10,11,9]
[1,3,2,5,4,6,8,9,10,7,12,11]=>[1,3,2,5,4,6,10,8,9,7,12,11]
[1,3,2,5,4,6,8,9,7,11,12,10]=>[1,3,2,5,4,6,9,8,7,12,11,10]
[1,3,2,5,4,6,8,7,10,11,12,9]=>[1,3,2,5,4,6,8,7,12,10,11,9]
[1,3,2,5,4,6,7,9,10,11,12,8]=>[1,3,2,5,4,6,7,12,9,10,11,8]
[1,3,2,4,6,7,8,5,10,9,12,11]=>[1,3,2,4,8,6,7,5,10,9,12,11]
[1,3,2,4,6,7,8,5,9,11,12,10]=>[1,3,2,4,8,6,7,5,9,12,11,10]
[1,3,2,4,6,7,5,9,10,8,12,11]=>[1,3,2,4,7,6,5,10,9,8,12,11]
[1,3,2,4,6,7,5,9,8,11,12,10]=>[1,3,2,4,7,6,5,9,8,12,11,10]
[1,3,2,4,6,7,5,8,10,11,12,9]=>[1,3,2,4,7,6,5,8,12,10,11,9]
[1,3,2,4,6,5,8,9,10,7,12,11]=>[1,3,2,4,6,5,10,8,9,7,12,11]
[1,3,2,4,6,5,8,9,7,11,12,10]=>[1,3,2,4,6,5,9,8,7,12,11,10]
[1,3,2,4,6,5,8,7,10,11,12,9]=>[1,3,2,4,6,5,8,7,12,10,11,9]
[1,3,2,4,6,5,7,9,10,11,12,8]=>[1,3,2,4,6,5,7,12,9,10,11,8]
[1,3,2,4,5,7,8,9,10,6,12,11]=>[1,3,2,4,5,10,7,8,9,6,12,11]
[1,3,2,4,5,7,8,9,6,11,12,10]=>[1,3,2,4,5,9,7,8,6,12,11,10]
[1,3,2,4,5,7,8,6,10,11,12,9]=>[1,3,2,4,5,8,7,6,12,10,11,9]
[1,3,2,4,5,7,6,9,10,11,12,8]=>[1,3,2,4,5,7,6,12,9,10,11,8]
[1,3,2,4,5,6,8,9,10,11,12,7]=>[1,3,2,4,5,6,12,8,9,10,11,7]
[1,2,4,5,6,3,8,7,10,9,12,11]=>[1,2,6,4,5,3,8,7,10,9,12,11]
[1,2,4,5,6,3,8,7,9,11,12,10]=>[1,2,6,4,5,3,8,7,9,12,11,10]
[1,2,4,5,6,3,7,9,10,8,12,11]=>[1,2,6,4,5,3,7,10,9,8,12,11]
[1,2,4,5,6,3,7,9,8,11,12,10]=>[1,2,6,4,5,3,7,9,8,12,11,10]
[1,2,4,5,6,3,7,8,10,11,12,9]=>[1,2,6,4,5,3,7,8,12,10,11,9]
[1,2,4,5,3,7,8,6,10,9,12,11]=>[1,2,5,4,3,8,7,6,10,9,12,11]
[1,2,4,5,3,7,8,6,9,11,12,10]=>[1,2,5,4,3,8,7,6,9,12,11,10]
[1,2,4,5,3,7,6,9,10,8,12,11]=>[1,2,5,4,3,7,6,10,9,8,12,11]
[1,2,4,5,3,7,6,9,8,11,12,10]=>[1,2,5,4,3,7,6,9,8,12,11,10]
[1,2,4,5,3,7,6,8,10,11,12,9]=>[1,2,5,4,3,7,6,8,12,10,11,9]
[1,2,4,5,3,6,8,9,10,7,12,11]=>[1,2,5,4,3,6,10,8,9,7,12,11]
[1,2,4,5,3,6,8,9,7,11,12,10]=>[1,2,5,4,3,6,9,8,7,12,11,10]
[1,2,4,5,3,6,8,7,10,11,12,9]=>[1,2,5,4,3,6,8,7,12,10,11,9]
[1,2,4,5,3,6,7,9,10,11,12,8]=>[1,2,5,4,3,6,7,12,9,10,11,8]
[1,2,4,3,6,7,8,5,10,9,12,11]=>[1,2,4,3,8,6,7,5,10,9,12,11]
[1,2,4,3,6,7,8,5,9,11,12,10]=>[1,2,4,3,8,6,7,5,9,12,11,10]
[1,2,4,3,6,7,5,9,10,8,12,11]=>[1,2,4,3,7,6,5,10,9,8,12,11]
[1,2,4,3,6,7,5,9,8,11,12,10]=>[1,2,4,3,7,6,5,9,8,12,11,10]
[1,2,4,3,6,7,5,8,10,11,12,9]=>[1,2,4,3,7,6,5,8,12,10,11,9]
[1,2,4,3,6,5,8,9,10,7,12,11]=>[1,2,4,3,6,5,10,8,9,7,12,11]
[1,2,4,3,6,5,8,9,7,11,12,10]=>[1,2,4,3,6,5,9,8,7,12,11,10]
[1,2,4,3,6,5,8,7,10,11,12,9]=>[1,2,4,3,6,5,8,7,12,10,11,9]
[1,2,4,3,6,5,7,9,10,11,12,8]=>[1,2,4,3,6,5,7,12,9,10,11,8]
[1,2,4,3,5,7,8,9,10,6,12,11]=>[1,2,4,3,5,10,7,8,9,6,12,11]
[1,2,4,3,5,7,8,9,6,11,12,10]=>[1,2,4,3,5,9,7,8,6,12,11,10]
[1,2,4,3,5,7,8,6,10,11,12,9]=>[1,2,4,3,5,8,7,6,12,10,11,9]
[1,2,4,3,5,7,6,9,10,11,12,8]=>[1,2,4,3,5,7,6,12,9,10,11,8]
[1,2,4,3,5,6,8,9,10,11,12,7]=>[1,2,4,3,5,6,12,8,9,10,11,7]
[1,2,3,5,6,7,8,4,10,9,12,11]=>[1,2,3,8,5,6,7,4,10,9,12,11]
[1,2,3,5,6,7,8,4,9,11,12,10]=>[1,2,3,8,5,6,7,4,9,12,11,10]
[1,2,3,5,6,7,4,9,10,8,12,11]=>[1,2,3,7,5,6,4,10,9,8,12,11]
[1,2,3,5,6,7,4,9,8,11,12,10]=>[1,2,3,7,5,6,4,9,8,12,11,10]
[1,2,3,5,6,7,4,8,10,11,12,9]=>[1,2,3,7,5,6,4,8,12,10,11,9]
[1,2,3,5,6,4,8,9,10,7,12,11]=>[1,2,3,6,5,4,10,8,9,7,12,11]
[1,2,3,5,6,4,8,9,7,11,12,10]=>[1,2,3,6,5,4,9,8,7,12,11,10]
[1,2,3,5,6,4,8,7,10,11,12,9]=>[1,2,3,6,5,4,8,7,12,10,11,9]
[1,2,3,5,6,4,7,9,10,11,12,8]=>[1,2,3,6,5,4,7,12,9,10,11,8]
[1,2,3,5,4,7,8,9,10,6,12,11]=>[1,2,3,5,4,10,7,8,9,6,12,11]
[1,2,3,5,4,7,8,9,6,11,12,10]=>[1,2,3,5,4,9,7,8,6,12,11,10]
[1,2,3,5,4,7,8,6,10,11,12,9]=>[1,2,3,5,4,8,7,6,12,10,11,9]
[1,2,3,5,4,7,6,9,10,11,12,8]=>[1,2,3,5,4,7,6,12,9,10,11,8]
[1,2,3,5,4,6,8,9,10,11,12,7]=>[1,2,3,5,4,6,12,8,9,10,11,7]
[1,2,3,4,6,7,8,9,10,5,12,11]=>[1,2,3,4,10,6,7,8,9,5,12,11]
[1,2,3,4,6,7,8,9,5,11,12,10]=>[1,2,3,4,9,6,7,8,5,12,11,10]
[1,2,3,4,6,7,8,5,10,11,12,9]=>[1,2,3,4,8,6,7,5,12,10,11,9]
[1,2,3,4,6,7,5,9,10,11,12,8]=>[1,2,3,4,7,6,5,12,9,10,11,8]
[1,2,3,4,6,5,8,9,10,11,12,7]=>[1,2,3,4,6,5,12,8,9,10,11,7]
[1,2,3,4,5,7,8,9,10,11,12,6]=>[1,2,3,4,5,12,7,8,9,10,11,6]
[12,1,2,3,4,5,6,7,8,11,9,10]=>[12,1,2,3,4,5,6,7,11,9,8,10]
[12,11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,12,10]
[12,2,1,3,4,5,6,7,8,9,10,11]=>[2,12,1,3,4,5,6,7,8,9,10,11]
[2,1,4,3,6,5,12,11,9,10,8,7]=>[2,1,4,3,6,5,8,10,11,9,12,7]
[2,1,4,3,10,9,7,8,6,5,12,11]=>[2,1,4,3,6,8,9,7,10,5,12,11]
[2,1,4,3,12,9,7,11,6,10,8,5]=>[2,1,4,3,8,10,11,9,12,7,5,6]
[2,1,4,3,12,11,7,10,9,8,6,5]=>[2,1,4,3,6,8,9,10,11,7,12,5]
[2,1,4,3,12,9,11,8,6,10,7,5]=>[2,1,4,3,7,10,8,11,12,5,9,6]
[2,1,4,3,12,11,10,8,9,7,6,5]=>[2,1,4,3,6,7,9,10,8,11,12,5]
[2,1,6,5,4,3,12,11,9,10,8,7]=>[2,1,4,5,6,3,8,10,11,9,12,7]
[2,1,8,7,5,6,4,3,10,9,12,11]=>[2,1,4,6,7,5,8,3,10,9,12,11]
[2,1,8,7,5,6,4,3,12,11,10,9]=>[2,1,4,6,7,5,8,3,10,11,12,9]
[2,1,10,7,5,9,4,8,6,3,12,11]=>[2,1,6,8,9,7,10,5,3,4,12,11]
[2,1,12,7,5,9,4,11,6,10,8,3]=>[2,1,8,10,7,9,12,11,5,3,6,4]
[2,1,12,7,5,11,4,10,9,8,6,3]=>[2,1,6,8,9,7,10,11,12,4,5,3]
[2,1,10,9,5,8,7,6,4,3,12,11]=>[2,1,4,6,7,8,9,5,10,3,12,11]
[2,1,12,9,5,8,11,6,4,10,7,3]=>[2,1,7,6,10,11,9,3,12,4,8,5]
[2,1,12,11,5,10,8,7,9,6,4,3]=>[2,1,4,6,9,11,8,10,7,3,12,5]
[2,1,12,11,5,10,9,8,7,6,4,3]=>[2,1,4,6,7,8,9,10,11,5,12,3]
[2,1,10,7,9,6,4,8,5,3,12,11]=>[2,1,5,8,6,9,10,3,7,4,12,11]
[2,1,12,7,9,6,4,11,5,10,8,3]=>[2,1,8,6,10,9,11,12,3,7,4,5]
[2,1,12,7,11,6,4,10,9,8,5,3]=>[2,1,5,8,6,9,10,11,12,4,3,7]
[2,1,10,9,8,6,7,5,4,3,12,11]=>[2,1,4,5,7,8,6,9,10,3,12,11]
[2,1,12,9,8,6,11,5,4,10,7,3]=>[2,1,7,5,10,11,8,9,12,6,3,4]
[2,1,12,11,10,8,7,6,9,5,4,3]=>[2,1,4,5,9,7,8,10,6,11,12,3]
[2,1,12,11,10,9,7,8,6,5,4,3]=>[2,1,4,5,6,8,9,7,10,11,12,3]
[2,1,12,9,8,11,7,5,4,10,6,3]=>[2,1,6,5,10,7,11,9,12,3,8,4]
[4,3,2,1,6,5,12,11,9,10,8,7]=>[2,3,4,1,6,5,8,10,11,9,12,7]
[4,3,2,1,10,9,7,8,6,5,12,11]=>[2,3,4,1,6,8,9,7,10,5,12,11]
[4,3,2,1,12,9,7,11,6,10,8,5]=>[2,3,4,1,8,10,11,9,12,7,5,6]
[4,3,2,1,12,11,7,10,9,8,6,5]=>[2,3,4,1,6,8,9,10,11,7,12,5]
[4,3,2,1,12,9,11,8,6,10,7,5]=>[2,3,4,1,7,10,8,11,12,5,9,6]
[4,3,2,1,12,11,10,8,9,7,6,5]=>[2,3,4,1,6,7,9,10,8,11,12,5]
[6,5,3,4,2,1,8,7,10,9,12,11]=>[2,4,5,3,6,1,8,7,10,9,12,11]
[6,5,3,4,2,1,8,7,12,11,10,9]=>[2,4,5,3,6,1,8,7,10,11,12,9]
[6,5,3,4,2,1,10,9,8,7,12,11]=>[2,4,5,3,6,1,8,9,10,7,12,11]
[6,5,3,4,2,1,12,11,9,10,8,7]=>[2,4,5,3,6,1,8,10,11,9,12,7]
[6,5,3,4,2,1,12,11,10,9,8,7]=>[2,4,5,3,6,1,8,9,10,11,12,7]
[8,5,3,7,2,6,4,1,10,9,12,11]=>[4,6,7,5,8,3,1,2,10,9,12,11]
[8,5,3,7,2,6,4,1,12,11,10,9]=>[4,6,7,5,8,3,1,2,10,11,12,9]
[10,5,3,7,2,9,4,8,6,1,12,11]=>[6,8,5,7,10,9,3,1,4,2,12,11]
[12,5,3,7,2,9,4,11,6,10,8,1]=>[8,7,5,10,12,9,3,11,2,1,6,4]
[12,5,3,7,2,11,4,10,9,8,6,1]=>[6,8,5,7,9,10,2,12,11,3,4,1]
[10,5,3,9,2,8,7,6,4,1,12,11]=>[4,6,7,5,8,9,10,2,3,1,12,11]
[12,5,3,9,2,8,11,6,4,10,7,1]=>[7,10,5,9,6,12,11,4,3,1,8,2]
[12,5,3,11,2,10,8,7,9,6,4,1]=>[4,6,9,5,11,12,8,10,7,1,2,3]
[12,5,3,11,2,10,9,8,7,6,4,1]=>[4,6,7,5,8,9,10,11,12,1,2,3]
[8,7,3,6,5,4,2,1,10,9,12,11]=>[2,4,5,6,7,3,8,1,10,9,12,11]
[8,7,3,6,5,4,2,1,12,11,10,9]=>[2,4,5,6,7,3,8,1,10,11,12,9]
[10,7,3,6,9,4,2,8,5,1,12,11]=>[5,4,8,9,7,1,10,2,6,3,12,11]
[12,7,3,6,9,4,2,11,5,10,8,1]=>[8,4,10,7,9,2,12,11,6,1,5,3]
[12,7,3,6,11,4,2,10,9,8,5,1]=>[5,4,8,9,7,2,10,11,12,3,6,1]
[10,9,3,8,6,5,7,4,2,1,12,11]=>[2,4,7,9,6,8,5,1,10,3,12,11]
[12,9,3,8,6,5,11,4,2,10,7,1]=>[7,4,10,11,6,9,8,5,12,2,1,3]
[12,11,3,8,10,6,7,4,9,5,2,1]=>[2,5,9,11,7,10,6,4,1,8,12,3]
[12,11,3,10,9,6,7,8,5,4,2,1]=>[2,4,5,8,11,9,6,7,10,3,12,1]
[10,9,3,8,7,6,5,4,2,1,12,11]=>[2,4,5,6,7,8,9,3,10,1,12,11]
[12,9,3,8,7,11,5,4,2,10,6,1]=>[6,4,5,10,11,9,8,1,12,3,7,2]
[12,11,3,8,10,7,6,4,9,5,2,1]=>[2,5,9,11,6,7,10,4,1,8,12,3]
[12,11,3,10,9,7,6,8,5,4,2,1]=>[2,4,5,8,11,7,9,6,10,3,12,1]
[12,11,3,10,9,8,7,6,5,4,2,1]=>[2,4,5,6,7,8,9,10,11,3,12,1]
[6,5,4,3,2,1,12,11,9,10,8,7]=>[2,3,4,5,6,1,8,10,11,9,12,7]
[8,5,7,4,2,6,3,1,10,9,12,11]=>[3,6,4,7,8,1,5,2,10,9,12,11]
[8,5,7,4,2,6,3,1,12,11,10,9]=>[3,6,4,7,8,1,5,2,10,11,12,9]
[10,5,7,4,2,9,3,8,6,1,12,11]=>[6,4,8,7,9,10,1,5,2,3,12,11]
[12,5,7,4,2,9,3,11,6,10,8,1]=>[8,4,7,10,9,12,6,11,3,1,5,2]
[12,5,7,4,2,11,3,10,9,8,6,1]=>[6,4,8,7,9,10,5,11,12,3,2,1]
[10,5,9,4,2,8,7,6,3,1,12,11]=>[3,6,4,7,8,9,10,2,1,5,12,11]
[12,5,9,4,2,8,11,6,3,10,7,1]=>[7,4,10,6,9,11,12,5,1,2,8,3]
[12,5,11,4,2,10,8,7,9,6,3,1]=>[3,6,4,9,11,12,8,10,7,5,2,1]
[12,5,11,4,2,10,9,8,7,6,3,1]=>[3,6,4,7,8,9,10,11,12,5,2,1]
[8,7,6,4,5,3,2,1,10,9,12,11]=>[2,3,5,6,4,7,8,1,10,9,12,11]
[8,7,6,4,5,3,2,1,12,11,10,9]=>[2,3,5,6,4,7,8,1,10,11,12,9]
[10,7,6,4,9,3,2,8,5,1,12,11]=>[5,3,8,9,6,7,10,4,1,2,12,11]
[12,7,6,4,9,3,2,11,5,10,8,1]=>[8,3,10,6,7,9,12,11,5,1,4,2]
[12,7,6,4,11,3,2,10,9,8,5,1]=>[5,3,8,9,6,7,10,11,12,2,4,1]
[10,9,8,6,5,4,7,3,2,1,12,11]=>[2,3,7,5,6,8,4,9,10,1,12,11]
[12,9,8,6,5,4,11,3,2,10,7,1]=>[7,3,10,5,6,11,8,9,12,4,1,2]
[12,11,8,6,10,4,7,3,9,5,2,1]=>[2,5,9,7,10,8,1,11,4,6,12,3]
[12,11,10,6,9,4,7,8,5,3,2,1]=>[2,3,5,8,9,10,1,7,6,11,12,4]
[10,9,8,7,5,6,4,3,2,1,12,11]=>[2,3,4,6,7,5,8,9,10,1,12,11]
[12,9,8,7,5,11,4,3,2,10,6,1]=>[6,3,4,10,11,7,8,9,12,5,1,2]
[12,11,8,7,10,6,4,3,9,5,2,1]=>[2,5,4,9,6,10,8,11,1,7,12,3]
[12,11,10,9,7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,9,5,10,11,12,1]
[12,11,10,9,8,6,7,5,4,3,2,1]=>[2,3,4,5,7,8,6,9,10,11,12,1]
[10,7,6,9,5,3,2,8,4,1,12,11]=>[4,3,8,5,9,7,10,1,6,2,12,11]
[12,7,6,9,5,3,2,11,4,10,8,1]=>[8,3,5,10,9,7,11,12,1,6,2,4]
[12,7,6,11,5,3,2,10,9,8,4,1]=>[4,3,8,5,9,7,10,11,12,2,1,6]
[12,11,8,10,6,5,7,3,9,4,2,1]=>[2,4,9,7,6,10,5,11,1,8,12,3]
[12,11,10,9,6,5,7,8,4,3,2,1]=>[2,3,4,8,6,9,5,7,10,11,12,1]
[12,11,8,10,7,6,5,3,9,4,2,1]=>[2,4,9,5,6,7,10,11,1,8,12,3]
[12,9,8,7,11,6,4,3,2,10,5,1]=>[5,3,4,10,6,11,8,9,12,1,7,2]
[6,12,5,11,4,10,3,9,2,1,8,7]=>[2,9,10,11,12,6,8,1,3,4,5,7]
[6,12,5,11,4,10,3,2,9,8,1,7]=>[8,3,9,10,11,6,2,12,4,5,1,7]
[6,12,5,11,4,10,3,2,9,1,8,7]=>[9,3,10,11,12,6,8,1,2,4,5,7]
[6,12,5,11,4,10,3,2,1,9,8,7]=>[2,3,10,11,12,6,8,9,1,4,5,7]
[6,12,5,11,4,3,10,9,2,8,1,7]=>[8,9,4,10,11,6,1,3,12,5,2,7]
[6,12,5,11,4,3,10,9,2,1,8,7]=>[2,9,4,10,11,6,8,3,12,5,1,7]
[6,12,5,11,4,3,10,2,9,8,1,7]=>[8,9,4,10,11,6,2,12,3,5,1,7]
[6,12,5,11,4,3,10,2,9,1,8,7]=>[9,10,4,11,12,6,8,1,2,3,5,7]
[6,12,5,11,4,3,10,2,1,9,8,7]=>[2,10,4,11,12,6,8,9,1,3,5,7]
[6,12,5,11,4,3,2,10,9,8,1,7]=>[8,3,4,9,10,6,5,11,12,1,2,7]
[6,12,5,11,4,3,2,10,9,1,8,7]=>[9,3,4,10,11,6,8,2,12,5,1,7]
[6,12,5,11,4,3,2,10,1,9,8,7]=>[10,3,4,11,12,6,8,9,1,2,5,7]
[6,12,5,11,4,3,2,1,10,9,8,7]=>[2,3,4,11,12,6,8,9,10,1,5,7]
[6,12,5,4,11,10,3,9,2,8,1,7]=>[8,9,10,5,11,6,1,2,4,12,3,7]
[6,12,5,4,11,10,3,9,2,1,8,7]=>[2,9,10,5,11,6,8,1,4,12,3,7]
[6,12,5,4,11,10,3,2,9,8,1,7]=>[8,3,9,5,10,6,2,11,1,12,4,7]
[6,12,5,4,11,10,3,2,9,1,8,7]=>[9,3,10,5,11,6,8,1,4,12,2,7]
[6,12,5,4,11,10,3,2,1,9,8,7]=>[2,3,10,5,11,6,8,9,4,12,1,7]
[6,12,5,4,11,3,10,9,2,8,1,7]=>[8,9,10,5,11,6,1,3,12,4,2,7]
[6,12,5,4,11,3,10,9,2,1,8,7]=>[2,9,10,5,11,6,8,3,12,4,1,7]
[6,12,5,4,11,3,10,2,9,8,1,7]=>[8,9,10,5,11,6,2,12,3,4,1,7]
[6,12,5,4,11,3,10,2,9,1,8,7]=>[9,10,11,5,12,6,8,1,2,3,4,7]
[6,12,5,4,11,3,10,2,1,9,8,7]=>[2,10,11,5,12,6,8,9,1,3,4,7]
[6,12,5,4,11,3,2,10,9,8,1,7]=>[8,3,9,5,10,6,4,11,12,1,2,7]
[6,12,5,4,11,3,2,10,9,1,8,7]=>[9,3,10,5,11,6,8,2,12,4,1,7]
[6,12,5,4,11,3,2,10,1,9,8,7]=>[10,3,11,5,12,6,8,9,1,2,4,7]
[6,12,5,4,11,3,2,1,10,9,8,7]=>[2,3,11,5,12,6,8,9,10,1,4,7]
[6,12,5,4,3,11,10,9,2,8,1,7]=>[8,9,4,5,10,6,1,2,11,12,3,7]
[6,12,5,4,3,11,10,9,2,1,8,7]=>[2,9,4,5,10,6,8,1,11,12,3,7]
[6,12,5,4,3,11,10,2,9,8,1,7]=>[8,9,4,5,10,6,2,11,1,12,3,7]
[6,12,5,4,3,11,10,2,9,1,8,7]=>[9,10,4,5,11,6,8,1,3,12,2,7]
[6,12,5,4,3,11,10,2,1,9,8,7]=>[2,10,4,5,11,6,8,9,3,12,1,7]
[6,12,5,4,3,11,2,10,9,8,1,7]=>[8,9,4,5,10,6,3,11,12,1,2,7]
[6,12,5,4,3,11,2,10,9,1,8,7]=>[9,10,4,5,11,6,8,2,12,3,1,7]
[6,12,5,4,3,11,2,10,1,9,8,7]=>[10,11,4,5,12,6,8,9,1,2,3,7]
[6,12,5,4,3,11,2,1,10,9,8,7]=>[2,11,4,5,12,6,8,9,10,1,3,7]
[6,12,5,4,3,2,11,10,9,8,1,7]=>[8,3,4,5,9,6,2,10,11,12,1,7]
[6,12,5,4,3,2,11,10,9,1,8,7]=>[9,3,4,5,10,6,8,1,11,12,2,7]
[6,12,5,4,3,2,11,10,1,9,8,7]=>[10,3,4,5,11,6,8,9,2,12,1,7]
[6,12,5,4,3,2,11,1,10,9,8,7]=>[11,3,4,5,12,6,8,9,10,1,2,7]
[6,12,5,4,3,2,1,11,10,9,8,7]=>[2,3,4,5,12,6,8,9,10,11,1,7]
[6,5,12,11,4,10,3,9,2,8,1,7]=>[8,9,10,11,6,5,1,2,3,4,12,7]
[6,5,12,11,4,10,3,9,2,1,8,7]=>[2,9,10,11,6,5,8,1,3,4,12,7]
[6,5,12,11,4,10,3,2,9,8,1,7]=>[8,3,9,10,6,5,2,11,4,1,12,7]
[6,5,12,11,4,10,3,2,9,1,8,7]=>[9,3,10,11,6,5,8,1,2,4,12,7]
[6,5,12,11,4,10,3,2,1,9,8,7]=>[2,3,10,11,6,5,8,9,1,4,12,7]
[6,5,12,11,4,3,10,9,2,8,1,7]=>[8,9,4,10,6,5,1,3,11,2,12,7]
[6,5,12,11,4,3,10,9,2,1,8,7]=>[2,9,4,10,6,5,8,3,11,1,12,7]
[6,5,12,11,4,3,10,2,9,8,1,7]=>[8,9,4,10,6,5,2,11,3,1,12,7]
[6,5,12,11,4,3,10,2,9,1,8,7]=>[9,10,4,11,6,5,8,1,2,3,12,7]
[6,5,12,11,4,3,10,2,1,9,8,7]=>[2,10,4,11,6,5,8,9,1,3,12,7]
[6,5,12,11,4,3,2,10,9,8,1,7]=>[8,3,4,9,6,5,1,10,11,2,12,7]
[6,5,12,11,4,3,2,10,9,1,8,7]=>[9,3,4,10,6,5,8,2,11,1,12,7]
[6,5,12,11,4,3,2,10,1,9,8,7]=>[10,3,4,11,6,5,8,9,1,2,12,7]
[6,5,12,11,4,3,2,1,10,9,8,7]=>[2,3,4,11,6,5,8,9,10,1,12,7]
[6,5,12,4,11,10,3,9,2,8,1,7]=>[8,9,10,11,6,5,1,2,4,12,3,7]
[6,5,12,4,11,10,3,9,2,1,8,7]=>[2,9,10,11,6,5,8,1,4,12,3,7]
[6,5,12,4,11,10,3,2,9,8,1,7]=>[8,3,9,10,6,5,2,11,1,12,4,7]
[6,5,12,4,11,10,3,2,9,1,8,7]=>[9,3,10,11,6,5,8,1,4,12,2,7]
[6,5,12,4,11,10,3,2,1,9,8,7]=>[2,3,10,11,6,5,8,9,4,12,1,7]
[6,5,12,4,11,3,10,9,2,8,1,7]=>[8,9,10,11,6,5,1,3,12,4,2,7]
[6,5,12,4,11,3,10,9,2,1,8,7]=>[2,9,10,11,6,5,8,3,12,4,1,7]
[6,5,12,4,11,3,10,2,9,8,1,7]=>[8,9,10,11,6,5,2,12,3,4,1,7]
[6,5,12,4,11,3,10,2,9,1,8,7]=>[9,10,11,12,6,5,8,1,2,3,4,7]
[6,5,12,4,11,3,10,2,1,9,8,7]=>[2,10,11,12,6,5,8,9,1,3,4,7]
[6,5,12,4,11,3,2,10,9,8,1,7]=>[8,3,9,10,6,5,4,11,12,1,2,7]
[6,5,12,4,11,3,2,10,9,1,8,7]=>[9,3,10,11,6,5,8,2,12,4,1,7]
[6,5,12,4,11,3,2,10,1,9,8,7]=>[10,3,11,12,6,5,8,9,1,2,4,7]
[6,5,12,4,11,3,2,1,10,9,8,7]=>[2,3,11,12,6,5,8,9,10,1,4,7]
[6,5,12,4,3,11,10,9,2,8,1,7]=>[8,9,4,10,6,5,1,2,11,12,3,7]
[6,5,12,4,3,11,10,9,2,1,8,7]=>[2,9,4,10,6,5,8,1,11,12,3,7]
[6,5,12,4,3,11,10,2,9,8,1,7]=>[8,9,4,10,6,5,2,11,1,12,3,7]
[6,5,12,4,3,11,10,2,9,1,8,7]=>[9,10,4,11,6,5,8,1,3,12,2,7]
[6,5,12,4,3,11,10,2,1,9,8,7]=>[2,10,4,11,6,5,8,9,3,12,1,7]
[6,5,12,4,3,11,2,10,9,8,1,7]=>[8,9,4,10,6,5,3,11,12,1,2,7]
[6,5,12,4,3,11,2,10,9,1,8,7]=>[9,10,4,11,6,5,8,2,12,3,1,7]
[6,5,12,4,3,11,2,10,1,9,8,7]=>[10,11,4,12,6,5,8,9,1,2,3,7]
[6,5,12,4,3,11,2,1,10,9,8,7]=>[2,11,4,12,6,5,8,9,10,1,3,7]
[6,5,12,4,3,2,11,10,9,8,1,7]=>[8,3,4,9,6,5,2,10,11,12,1,7]
[6,5,12,4,3,2,11,10,9,1,8,7]=>[9,3,4,10,6,5,8,1,11,12,2,7]
[6,5,12,4,3,2,11,10,1,9,8,7]=>[10,3,4,11,6,5,8,9,2,12,1,7]
[6,5,12,4,3,2,11,1,10,9,8,7]=>[11,3,4,12,6,5,8,9,10,1,2,7]
[6,5,12,4,3,2,1,11,10,9,8,7]=>[2,3,4,12,6,5,8,9,10,11,1,7]
[6,5,4,12,11,10,3,9,2,8,1,7]=>[8,9,10,5,6,4,1,2,3,11,12,7]
[6,5,4,12,11,10,3,9,2,1,8,7]=>[2,9,10,5,6,4,8,1,3,11,12,7]
[6,5,4,12,11,10,3,2,9,8,1,7]=>[8,3,9,5,6,4,2,10,1,11,12,7]
[6,5,4,12,11,10,3,2,9,1,8,7]=>[9,3,10,5,6,4,8,1,2,11,12,7]
[6,5,4,12,11,10,3,2,1,9,8,7]=>[2,3,10,5,6,4,8,9,1,11,12,7]
[6,5,4,12,11,3,10,9,2,8,1,7]=>[8,9,10,5,6,4,1,3,11,2,12,7]
[6,5,4,12,11,3,10,9,2,1,8,7]=>[2,9,10,5,6,4,8,3,11,1,12,7]
[6,5,4,12,11,3,10,2,9,8,1,7]=>[8,9,10,5,6,4,2,11,3,1,12,7]
[6,5,4,12,11,3,10,2,9,1,8,7]=>[9,10,11,5,6,4,8,1,2,3,12,7]
[6,5,4,12,11,3,10,2,1,9,8,7]=>[2,10,11,5,6,4,8,9,1,3,12,7]
[6,5,4,12,11,3,2,10,9,8,1,7]=>[8,3,9,5,6,4,1,10,11,2,12,7]
[6,5,4,12,11,3,2,10,9,1,8,7]=>[9,3,10,5,6,4,8,2,11,1,12,7]
[6,5,4,12,11,3,2,10,1,9,8,7]=>[10,3,11,5,6,4,8,9,1,2,12,7]
[6,5,4,12,11,3,2,1,10,9,8,7]=>[2,3,11,5,6,4,8,9,10,1,12,7]
[6,5,4,12,3,11,10,9,2,8,1,7]=>[8,9,10,5,6,4,1,2,11,12,3,7]
[6,5,4,12,3,11,10,9,2,1,8,7]=>[2,9,10,5,6,4,8,1,11,12,3,7]
[6,5,4,12,3,11,10,2,9,8,1,7]=>[8,9,10,5,6,4,2,11,1,12,3,7]
[6,5,4,12,3,11,10,2,9,1,8,7]=>[9,10,11,5,6,4,8,1,3,12,2,7]
[6,5,4,12,3,11,10,2,1,9,8,7]=>[2,10,11,5,6,4,8,9,3,12,1,7]
[6,5,4,12,3,11,2,10,9,8,1,7]=>[8,9,10,5,6,4,3,11,12,1,2,7]
[6,5,4,12,3,11,2,10,9,1,8,7]=>[9,10,11,5,6,4,8,2,12,3,1,7]
[6,5,4,12,3,11,2,10,1,9,8,7]=>[10,11,12,5,6,4,8,9,1,2,3,7]
[6,5,4,12,3,11,2,1,10,9,8,7]=>[2,11,12,5,6,4,8,9,10,1,3,7]
[6,5,4,12,3,2,11,10,9,8,1,7]=>[8,3,9,5,6,4,2,10,11,12,1,7]
[6,5,4,12,3,2,11,10,9,1,8,7]=>[9,3,10,5,6,4,8,1,11,12,2,7]
[6,5,4,12,3,2,11,10,1,9,8,7]=>[10,3,11,5,6,4,8,9,2,12,1,7]
[6,5,4,12,3,2,11,1,10,9,8,7]=>[11,3,12,5,6,4,8,9,10,1,2,7]
[6,5,4,12,3,2,1,11,10,9,8,7]=>[2,3,12,5,6,4,8,9,10,11,1,7]
[6,5,4,3,12,11,10,9,2,8,1,7]=>[8,9,4,5,6,3,1,2,10,11,12,7]
[6,5,4,3,12,11,10,9,2,1,8,7]=>[2,9,4,5,6,3,8,1,10,11,12,7]
[6,5,4,3,12,11,10,2,9,8,1,7]=>[8,9,4,5,6,3,2,10,1,11,12,7]
[6,5,4,3,12,11,10,2,9,1,8,7]=>[9,10,4,5,6,3,8,1,2,11,12,7]
[6,5,4,3,12,11,10,2,1,9,8,7]=>[2,10,4,5,6,3,8,9,1,11,12,7]
[6,5,4,3,12,11,2,10,9,8,1,7]=>[8,9,4,5,6,3,1,10,11,2,12,7]
[6,5,4,3,12,11,2,10,9,1,8,7]=>[9,10,4,5,6,3,8,2,11,1,12,7]
[6,5,4,3,12,11,2,10,1,9,8,7]=>[10,11,4,5,6,3,8,9,1,2,12,7]
[6,5,4,3,12,11,2,1,10,9,8,7]=>[2,11,4,5,6,3,8,9,10,1,12,7]
[6,5,4,3,12,2,11,10,9,8,1,7]=>[8,9,4,5,6,3,2,10,11,12,1,7]
[6,5,4,3,12,2,11,10,9,1,8,7]=>[9,10,4,5,6,3,8,1,11,12,2,7]
[6,5,4,3,12,2,11,10,1,9,8,7]=>[10,11,4,5,6,3,8,9,2,12,1,7]
[6,5,4,3,12,2,11,1,10,9,8,7]=>[11,12,4,5,6,3,8,9,10,1,2,7]
[6,5,4,3,12,2,1,11,10,9,8,7]=>[2,12,4,5,6,3,8,9,10,11,1,7]
[6,5,4,3,2,12,11,10,9,8,1,7]=>[8,3,4,5,6,2,1,9,10,11,12,7]
[6,5,4,3,2,12,11,10,9,1,8,7]=>[9,3,4,5,6,2,8,1,10,11,12,7]
[6,5,4,3,2,12,11,10,1,9,8,7]=>[10,3,4,5,6,2,8,9,1,11,12,7]
[6,5,4,3,2,12,11,1,10,9,8,7]=>[11,3,4,5,6,2,8,9,10,1,12,7]
[6,5,4,3,2,12,1,11,10,9,8,7]=>[12,3,4,5,6,2,8,9,10,11,1,7]
[3,5,7,9,11,1,4,6,8,10,12,2]=>[11,12,3,1,5,4,7,6,9,8,10,2]
[3,5,7,9,12,1,4,6,8,10,11,2]=>[12,11,3,1,5,4,7,6,9,8,10,2]
[3,5,7,10,11,1,4,6,8,9,12,2]=>[11,12,3,1,5,4,7,6,8,10,9,2]
[3,5,7,10,12,1,4,6,8,9,11,2]=>[12,11,3,1,5,4,7,6,8,10,9,2]
[3,5,7,11,12,1,4,6,8,9,10,2]=>[12,10,3,1,5,4,7,6,8,9,11,2]
[3,5,8,9,11,1,4,6,7,10,12,2]=>[11,12,3,1,5,4,6,8,9,7,10,2]
[3,5,8,9,12,1,4,6,7,10,11,2]=>[12,11,3,1,5,4,6,8,9,7,10,2]
[3,5,8,10,11,1,4,6,7,9,12,2]=>[11,12,3,1,5,4,6,8,7,10,9,2]
[3,5,8,10,12,1,4,6,7,9,11,2]=>[12,11,3,1,5,4,6,8,7,10,9,2]
[3,5,8,11,12,1,4,6,7,9,10,2]=>[12,10,3,1,5,4,6,8,7,9,11,2]
[3,5,9,10,11,1,4,6,7,8,12,2]=>[11,12,3,1,5,4,6,7,9,10,8,2]
[3,5,9,10,12,1,4,6,7,8,11,2]=>[12,11,3,1,5,4,6,7,9,10,8,2]
[3,5,9,11,12,1,4,6,7,8,10,2]=>[12,10,3,1,5,4,6,7,9,8,11,2]
[3,5,10,11,12,1,4,6,7,8,9,2]=>[12,9,3,1,5,4,6,7,8,10,11,2]
[3,6,7,9,11,1,4,5,8,10,12,2]=>[11,12,3,1,4,6,7,5,9,8,10,2]
[3,6,7,9,12,1,4,5,8,10,11,2]=>[12,11,3,1,4,6,7,5,9,8,10,2]
[3,6,7,10,11,1,4,5,8,9,12,2]=>[11,12,3,1,4,6,7,5,8,10,9,2]
[3,6,7,10,12,1,4,5,8,9,11,2]=>[12,11,3,1,4,6,7,5,8,10,9,2]
[3,6,7,11,12,1,4,5,8,9,10,2]=>[12,10,3,1,4,6,7,5,8,9,11,2]
[3,6,8,9,11,1,4,5,7,10,12,2]=>[11,12,3,1,4,6,5,8,9,7,10,2]
[3,6,8,9,12,1,4,5,7,10,11,2]=>[12,11,3,1,4,6,5,8,9,7,10,2]
[3,6,8,10,11,1,4,5,7,9,12,2]=>[11,12,3,1,4,6,5,8,7,10,9,2]
[3,6,8,10,12,1,4,5,7,9,11,2]=>[12,11,3,1,4,6,5,8,7,10,9,2]
[3,6,8,11,12,1,4,5,7,9,10,2]=>[12,10,3,1,4,6,5,8,7,9,11,2]
[3,6,9,10,11,1,4,5,7,8,12,2]=>[11,12,3,1,4,6,5,7,9,10,8,2]
[3,6,9,10,12,1,4,5,7,8,11,2]=>[12,11,3,1,4,6,5,7,9,10,8,2]
[3,6,9,11,12,1,4,5,7,8,10,2]=>[12,10,3,1,4,6,5,7,9,8,11,2]
[3,6,10,11,12,1,4,5,7,8,9,2]=>[12,9,3,1,4,6,5,7,8,10,11,2]
[3,7,8,9,11,1,4,5,6,10,12,2]=>[11,12,3,1,4,5,7,8,9,6,10,2]
[3,7,8,9,12,1,4,5,6,10,11,2]=>[12,11,3,1,4,5,7,8,9,6,10,2]
[3,7,8,10,11,1,4,5,6,9,12,2]=>[11,12,3,1,4,5,7,8,6,10,9,2]
[3,7,8,10,12,1,4,5,6,9,11,2]=>[12,11,3,1,4,5,7,8,6,10,9,2]
[3,7,8,11,12,1,4,5,6,9,10,2]=>[12,10,3,1,4,5,7,8,6,9,11,2]
[3,7,9,10,11,1,4,5,6,8,12,2]=>[11,12,3,1,4,5,7,6,9,10,8,2]
[3,7,9,10,12,1,4,5,6,8,11,2]=>[12,11,3,1,4,5,7,6,9,10,8,2]
[3,7,9,11,12,1,4,5,6,8,10,2]=>[12,10,3,1,4,5,7,6,9,8,11,2]
[3,7,10,11,12,1,4,5,6,8,9,2]=>[12,9,3,1,4,5,7,6,8,10,11,2]
[3,8,9,10,11,1,4,5,6,7,12,2]=>[11,12,3,1,4,5,6,8,9,10,7,2]
[3,8,9,10,12,1,4,5,6,7,11,2]=>[12,11,3,1,4,5,6,8,9,10,7,2]
[3,8,9,11,12,1,4,5,6,7,10,2]=>[12,10,3,1,4,5,6,8,9,7,11,2]
[3,8,10,11,12,1,4,5,6,7,9,2]=>[12,9,3,1,4,5,6,8,7,10,11,2]
[3,9,10,11,12,1,4,5,6,7,8,2]=>[12,8,3,1,4,5,6,7,9,10,11,2]
[4,5,7,9,11,1,3,6,8,10,12,2]=>[11,12,1,4,5,3,7,6,9,8,10,2]
[4,5,7,9,12,1,3,6,8,10,11,2]=>[12,11,1,4,5,3,7,6,9,8,10,2]
[4,5,7,10,11,1,3,6,8,9,12,2]=>[11,12,1,4,5,3,7,6,8,10,9,2]
[4,5,7,10,12,1,3,6,8,9,11,2]=>[12,11,1,4,5,3,7,6,8,10,9,2]
[4,5,7,11,12,1,3,6,8,9,10,2]=>[12,10,1,4,5,3,7,6,8,9,11,2]
[4,5,8,9,11,1,3,6,7,10,12,2]=>[11,12,1,4,5,3,6,8,9,7,10,2]
[4,5,8,9,12,1,3,6,7,10,11,2]=>[12,11,1,4,5,3,6,8,9,7,10,2]
[4,5,8,10,11,1,3,6,7,9,12,2]=>[11,12,1,4,5,3,6,8,7,10,9,2]
[4,5,8,10,12,1,3,6,7,9,11,2]=>[12,11,1,4,5,3,6,8,7,10,9,2]
[4,5,8,11,12,1,3,6,7,9,10,2]=>[12,10,1,4,5,3,6,8,7,9,11,2]
[4,5,9,10,11,1,3,6,7,8,12,2]=>[11,12,1,4,5,3,6,7,9,10,8,2]
[4,5,9,10,12,1,3,6,7,8,11,2]=>[12,11,1,4,5,3,6,7,9,10,8,2]
[4,5,9,11,12,1,3,6,7,8,10,2]=>[12,10,1,4,5,3,6,7,9,8,11,2]
[4,5,10,11,12,1,3,6,7,8,9,2]=>[12,9,1,4,5,3,6,7,8,10,11,2]
[4,6,7,9,11,1,3,5,8,10,12,2]=>[11,12,1,4,3,6,7,5,9,8,10,2]
[4,6,7,9,12,1,3,5,8,10,11,2]=>[12,11,1,4,3,6,7,5,9,8,10,2]
[4,6,7,10,11,1,3,5,8,9,12,2]=>[11,12,1,4,3,6,7,5,8,10,9,2]
[4,6,7,10,12,1,3,5,8,9,11,2]=>[12,11,1,4,3,6,7,5,8,10,9,2]
[4,6,7,11,12,1,3,5,8,9,10,2]=>[12,10,1,4,3,6,7,5,8,9,11,2]
[4,6,8,9,11,1,3,5,7,10,12,2]=>[11,12,1,4,3,6,5,8,9,7,10,2]
[4,6,8,9,12,1,3,5,7,10,11,2]=>[12,11,1,4,3,6,5,8,9,7,10,2]
[4,6,8,10,11,1,3,5,7,9,12,2]=>[11,12,1,4,3,6,5,8,7,10,9,2]
[4,6,8,10,12,1,3,5,7,9,11,2]=>[12,11,1,4,3,6,5,8,7,10,9,2]
[4,6,8,11,12,1,3,5,7,9,10,2]=>[12,10,1,4,3,6,5,8,7,9,11,2]
[4,6,9,10,11,1,3,5,7,8,12,2]=>[11,12,1,4,3,6,5,7,9,10,8,2]
[4,6,9,10,12,1,3,5,7,8,11,2]=>[12,11,1,4,3,6,5,7,9,10,8,2]
[4,6,9,11,12,1,3,5,7,8,10,2]=>[12,10,1,4,3,6,5,7,9,8,11,2]
[4,6,10,11,12,1,3,5,7,8,9,2]=>[12,9,1,4,3,6,5,7,8,10,11,2]
[4,7,8,9,11,1,3,5,6,10,12,2]=>[11,12,1,4,3,5,7,8,9,6,10,2]
[4,7,8,9,12,1,3,5,6,10,11,2]=>[12,11,1,4,3,5,7,8,9,6,10,2]
[4,7,8,10,11,1,3,5,6,9,12,2]=>[11,12,1,4,3,5,7,8,6,10,9,2]
[4,7,8,10,12,1,3,5,6,9,11,2]=>[12,11,1,4,3,5,7,8,6,10,9,2]
[4,7,8,11,12,1,3,5,6,9,10,2]=>[12,10,1,4,3,5,7,8,6,9,11,2]
[4,7,9,10,11,1,3,5,6,8,12,2]=>[11,12,1,4,3,5,7,6,9,10,8,2]
[4,7,9,10,12,1,3,5,6,8,11,2]=>[12,11,1,4,3,5,7,6,9,10,8,2]
[4,7,9,11,12,1,3,5,6,8,10,2]=>[12,10,1,4,3,5,7,6,9,8,11,2]
[4,7,10,11,12,1,3,5,6,8,9,2]=>[12,9,1,4,3,5,7,6,8,10,11,2]
[4,8,9,10,11,1,3,5,6,7,12,2]=>[11,12,1,4,3,5,6,8,9,10,7,2]
[4,8,9,10,12,1,3,5,6,7,11,2]=>[12,11,1,4,3,5,6,8,9,10,7,2]
[4,8,9,11,12,1,3,5,6,7,10,2]=>[12,10,1,4,3,5,6,8,9,7,11,2]
[4,8,10,11,12,1,3,5,6,7,9,2]=>[12,9,1,4,3,5,6,8,7,10,11,2]
[4,9,10,11,12,1,3,5,6,7,8,2]=>[12,8,1,4,3,5,6,7,9,10,11,2]
[5,6,7,9,11,1,3,4,8,10,12,2]=>[11,12,1,3,5,6,7,4,9,8,10,2]
[5,6,7,9,12,1,3,4,8,10,11,2]=>[12,11,1,3,5,6,7,4,9,8,10,2]
[5,6,7,10,11,1,3,4,8,9,12,2]=>[11,12,1,3,5,6,7,4,8,10,9,2]
[5,6,7,10,12,1,3,4,8,9,11,2]=>[12,11,1,3,5,6,7,4,8,10,9,2]
[5,6,7,11,12,1,3,4,8,9,10,2]=>[12,10,1,3,5,6,7,4,8,9,11,2]
[5,6,8,9,11,1,3,4,7,10,12,2]=>[11,12,1,3,5,6,4,8,9,7,10,2]
[5,6,8,9,12,1,3,4,7,10,11,2]=>[12,11,1,3,5,6,4,8,9,7,10,2]
[5,6,8,10,11,1,3,4,7,9,12,2]=>[11,12,1,3,5,6,4,8,7,10,9,2]
[5,6,8,10,12,1,3,4,7,9,11,2]=>[12,11,1,3,5,6,4,8,7,10,9,2]
[5,6,8,11,12,1,3,4,7,9,10,2]=>[12,10,1,3,5,6,4,8,7,9,11,2]
[5,6,9,10,11,1,3,4,7,8,12,2]=>[11,12,1,3,5,6,4,7,9,10,8,2]
[5,6,9,10,12,1,3,4,7,8,11,2]=>[12,11,1,3,5,6,4,7,9,10,8,2]
[5,6,9,11,12,1,3,4,7,8,10,2]=>[12,10,1,3,5,6,4,7,9,8,11,2]
[5,6,10,11,12,1,3,4,7,8,9,2]=>[12,9,1,3,5,6,4,7,8,10,11,2]
[5,7,8,9,11,1,3,4,6,10,12,2]=>[11,12,1,3,5,4,7,8,9,6,10,2]
[5,7,8,9,12,1,3,4,6,10,11,2]=>[12,11,1,3,5,4,7,8,9,6,10,2]
[5,7,8,10,11,1,3,4,6,9,12,2]=>[11,12,1,3,5,4,7,8,6,10,9,2]
[5,7,8,10,12,1,3,4,6,9,11,2]=>[12,11,1,3,5,4,7,8,6,10,9,2]
[5,7,8,11,12,1,3,4,6,9,10,2]=>[12,10,1,3,5,4,7,8,6,9,11,2]
[5,7,9,10,11,1,3,4,6,8,12,2]=>[11,12,1,3,5,4,7,6,9,10,8,2]
[5,7,9,10,12,1,3,4,6,8,11,2]=>[12,11,1,3,5,4,7,6,9,10,8,2]
[5,7,9,11,12,1,3,4,6,8,10,2]=>[12,10,1,3,5,4,7,6,9,8,11,2]
[5,7,10,11,12,1,3,4,6,8,9,2]=>[12,9,1,3,5,4,7,6,8,10,11,2]
[5,8,9,10,11,1,3,4,6,7,12,2]=>[11,12,1,3,5,4,6,8,9,10,7,2]
[5,8,9,10,12,1,3,4,6,7,11,2]=>[12,11,1,3,5,4,6,8,9,10,7,2]
[5,8,9,11,12,1,3,4,6,7,10,2]=>[12,10,1,3,5,4,6,8,9,7,11,2]
[5,8,10,11,12,1,3,4,6,7,9,2]=>[12,9,1,3,5,4,6,8,7,10,11,2]
[5,9,10,11,12,1,3,4,6,7,8,2]=>[12,8,1,3,5,4,6,7,9,10,11,2]
[6,7,8,9,11,1,3,4,5,10,12,2]=>[11,12,1,3,4,6,7,8,9,5,10,2]
[6,7,8,9,12,1,3,4,5,10,11,2]=>[12,11,1,3,4,6,7,8,9,5,10,2]
[6,7,8,10,11,1,3,4,5,9,12,2]=>[11,12,1,3,4,6,7,8,5,10,9,2]
[6,7,8,10,12,1,3,4,5,9,11,2]=>[12,11,1,3,4,6,7,8,5,10,9,2]
[6,7,8,11,12,1,3,4,5,9,10,2]=>[12,10,1,3,4,6,7,8,5,9,11,2]
[6,7,9,10,11,1,3,4,5,8,12,2]=>[11,12,1,3,4,6,7,5,9,10,8,2]
[6,7,9,10,12,1,3,4,5,8,11,2]=>[12,11,1,3,4,6,7,5,9,10,8,2]
[6,7,9,11,12,1,3,4,5,8,10,2]=>[12,10,1,3,4,6,7,5,9,8,11,2]
[6,7,10,11,12,1,3,4,5,8,9,2]=>[12,9,1,3,4,6,7,5,8,10,11,2]
[6,8,9,10,11,1,3,4,5,7,12,2]=>[11,12,1,3,4,6,5,8,9,10,7,2]
[6,8,9,10,12,1,3,4,5,7,11,2]=>[12,11,1,3,4,6,5,8,9,10,7,2]
[6,8,9,11,12,1,3,4,5,7,10,2]=>[12,10,1,3,4,6,5,8,9,7,11,2]
[6,8,10,11,12,1,3,4,5,7,9,2]=>[12,9,1,3,4,6,5,8,7,10,11,2]
[6,9,10,11,12,1,3,4,5,7,8,2]=>[12,8,1,3,4,6,5,7,9,10,11,2]
[7,8,9,10,11,1,3,4,5,6,12,2]=>[11,12,1,3,4,5,7,8,9,10,6,2]
[7,8,9,10,12,1,3,4,5,6,11,2]=>[12,11,1,3,4,5,7,8,9,10,6,2]
[7,8,9,11,12,1,3,4,5,6,10,2]=>[12,10,1,3,4,5,7,8,9,6,11,2]
[7,8,10,11,12,1,3,4,5,6,9,2]=>[12,9,1,3,4,5,7,8,6,10,11,2]
[7,9,10,11,12,1,3,4,5,6,8,2]=>[12,8,1,3,4,5,7,6,9,10,11,2]
[8,9,10,11,12,1,3,4,5,6,7,2]=>[12,7,1,3,4,5,6,8,9,10,11,2]
[2,1,4,3,6,5,8,7,12,9,11,10]=>[2,1,4,3,6,5,8,7,12,11,9,10]
[2,1,4,3,6,5,10,7,9,8,12,11]=>[2,1,4,3,6,5,10,9,7,8,12,11]
[2,1,4,3,6,5,12,11,9,7,8,10]=>[2,1,4,3,6,5,9,7,11,8,12,10]
[2,1,4,3,6,5,12,7,8,10,11,9]=>[2,1,4,3,6,5,12,7,11,8,10,9]
[2,1,4,3,8,5,7,6,10,9,12,11]=>[2,1,4,3,8,7,5,6,10,9,12,11]
[2,1,4,3,8,5,7,6,12,9,11,10]=>[2,1,4,3,8,7,5,6,12,11,9,10]
[2,1,4,3,10,9,7,5,6,8,12,11]=>[2,1,4,3,7,5,9,6,10,8,12,11]
[2,1,4,3,12,9,7,11,6,5,8,10]=>[2,1,4,3,6,11,9,5,12,8,7,10]
[2,1,4,3,12,10,7,5,8,6,11,9]=>[2,1,4,3,7,10,8,6,12,11,9,5]
[2,1,4,3,10,5,6,8,9,7,12,11]=>[2,1,4,3,10,5,9,6,8,7,12,11]
[2,1,4,3,12,11,6,8,9,5,7,10]=>[2,1,4,3,9,11,5,6,8,7,12,10]
[2,1,4,3,12,5,11,8,6,10,7,9]=>[2,1,4,3,12,8,11,10,6,7,5,9]
[2,1,4,3,12,5,6,7,9,10,11,8]=>[2,1,4,3,12,5,6,11,7,9,10,8]
[2,1,6,3,5,4,8,7,10,9,12,11]=>[2,1,6,5,3,4,8,7,10,9,12,11]
[2,1,6,3,5,4,8,7,12,9,11,10]=>[2,1,6,5,3,4,8,7,12,11,9,10]
[2,1,6,3,5,4,10,7,9,8,12,11]=>[2,1,6,5,3,4,10,9,7,8,12,11]
[2,1,6,3,5,4,12,11,9,7,8,10]=>[2,1,6,5,3,4,9,7,11,8,12,10]
[2,1,6,3,5,4,12,7,8,10,11,9]=>[2,1,6,5,3,4,12,7,11,8,10,9]
[2,1,8,7,5,3,4,6,10,9,12,11]=>[2,1,5,3,7,4,8,6,10,9,12,11]
[2,1,8,7,5,3,4,6,12,9,11,10]=>[2,1,5,3,7,4,8,6,12,11,9,10]
[2,1,10,7,5,9,4,3,6,8,12,11]=>[2,1,4,9,7,3,10,6,5,8,12,11]
[2,1,12,7,5,9,4,11,6,3,8,10]=>[2,1,6,11,9,7,12,4,3,8,5,10]
[2,1,12,7,5,10,4,3,8,6,11,9]=>[2,1,4,10,7,12,8,3,11,6,5,9]
[2,1,10,8,5,3,6,4,9,7,12,11]=>[2,1,5,8,6,4,10,9,7,3,12,11]
[2,1,12,8,5,11,6,4,9,3,7,10]=>[2,1,9,6,11,8,3,12,5,7,4,10]
[2,1,12,8,5,3,11,4,6,10,7,9]=>[2,1,5,8,12,4,11,10,6,7,3,9]
[2,1,12,9,5,3,6,7,4,10,11,8]=>[2,1,5,9,7,4,6,12,11,8,10,3]
[2,1,8,3,4,6,7,5,10,9,12,11]=>[2,1,8,3,7,4,6,5,10,9,12,11]
[2,1,8,3,4,6,7,5,12,9,11,10]=>[2,1,8,3,7,4,6,5,12,11,9,10]
[2,1,10,9,4,6,7,3,5,8,12,11]=>[2,1,7,9,3,4,6,5,10,8,12,11]
[2,1,12,9,4,6,7,11,5,3,8,10]=>[2,1,5,11,9,3,6,4,12,8,7,10]
[2,1,12,10,4,6,7,3,8,5,11,9]=>[2,1,7,10,8,4,6,3,12,11,9,5]
[2,1,10,3,9,6,4,8,5,7,12,11]=>[2,1,10,6,9,8,4,5,3,7,12,11]
[2,1,12,11,9,6,4,8,5,3,7,10]=>[2,1,5,8,6,9,4,3,11,7,12,10]
[2,1,12,3,10,6,11,8,4,5,7,9]=>[2,1,12,8,4,11,6,10,7,3,5,9]
[2,1,12,3,10,6,4,7,9,5,11,8]=>[2,1,12,6,10,9,5,11,7,3,4,8]
[2,1,10,3,4,5,7,8,9,6,12,11]=>[2,1,10,3,4,9,5,7,8,6,12,11]
[2,1,12,11,4,5,7,8,9,3,6,10]=>[2,1,9,11,4,3,5,7,8,6,12,10]
[2,1,12,3,11,5,7,8,4,10,6,9]=>[2,1,12,8,11,10,5,7,6,4,3,9]
[2,1,12,3,4,11,7,5,9,10,6,8]=>[2,1,12,3,7,11,10,5,6,9,4,8]
[2,1,12,3,4,5,6,8,9,10,11,7]=>[2,1,12,3,4,5,11,6,8,9,10,7]
[4,1,3,2,6,5,8,7,10,9,12,11]=>[4,3,1,2,6,5,8,7,10,9,12,11]
[4,1,3,2,6,5,8,7,12,9,11,10]=>[4,3,1,2,6,5,8,7,12,11,9,10]
[4,1,3,2,6,5,10,7,9,8,12,11]=>[4,3,1,2,6,5,10,9,7,8,12,11]
[4,1,3,2,6,5,12,11,9,7,8,10]=>[4,3,1,2,6,5,9,7,11,8,12,10]
[4,1,3,2,6,5,12,7,8,10,11,9]=>[4,3,1,2,6,5,12,7,11,8,10,9]
[4,1,3,2,8,5,7,6,10,9,12,11]=>[4,3,1,2,8,7,5,6,10,9,12,11]
[4,1,3,2,8,5,7,6,12,9,11,10]=>[4,3,1,2,8,7,5,6,12,11,9,10]
[4,1,3,2,10,9,7,5,6,8,12,11]=>[4,3,1,2,7,5,9,6,10,8,12,11]
[4,1,3,2,12,9,7,11,6,5,8,10]=>[4,3,1,2,6,11,9,5,12,8,7,10]
[4,1,3,2,12,10,7,5,8,6,11,9]=>[4,3,1,2,7,10,8,6,12,11,9,5]
[4,1,3,2,10,5,6,8,9,7,12,11]=>[4,3,1,2,10,5,9,6,8,7,12,11]
[4,1,3,2,12,11,6,8,9,5,7,10]=>[4,3,1,2,9,11,5,6,8,7,12,10]
[4,1,3,2,12,5,11,8,6,10,7,9]=>[4,3,1,2,12,8,11,10,6,7,5,9]
[4,1,3,2,12,5,6,7,9,10,11,8]=>[4,3,1,2,12,5,6,11,7,9,10,8]
[6,5,3,1,2,4,8,7,10,9,12,11]=>[3,1,5,2,6,4,8,7,10,9,12,11]
[6,5,3,1,2,4,8,7,12,9,11,10]=>[3,1,5,2,6,4,8,7,12,11,9,10]
[6,5,3,1,2,4,10,7,9,8,12,11]=>[3,1,5,2,6,4,10,9,7,8,12,11]
[6,5,3,1,2,4,12,11,9,7,8,10]=>[3,1,5,2,6,4,9,7,11,8,12,10]
[6,5,3,1,2,4,12,7,8,10,11,9]=>[3,1,5,2,6,4,12,7,11,8,10,9]
[8,5,3,7,2,1,4,6,10,9,12,11]=>[2,7,5,1,8,4,3,6,10,9,12,11]
[8,5,3,7,2,1,4,6,12,9,11,10]=>[2,7,5,1,8,4,3,6,12,11,9,10]
[10,5,3,7,2,9,4,1,6,8,12,11]=>[4,9,7,5,10,2,1,6,3,8,12,11]
[12,5,3,7,2,9,4,11,6,1,8,10]=>[6,11,5,7,12,9,3,2,4,8,1,10]
[12,5,3,7,2,10,4,1,8,6,11,9]=>[4,10,7,5,12,8,1,2,11,3,6,9]
[10,5,3,8,2,1,6,4,9,7,12,11]=>[2,8,5,10,6,1,9,4,3,7,12,11]
[12,5,3,8,2,11,6,4,9,1,7,10]=>[9,8,5,12,6,11,1,4,3,7,2,10]
[12,5,3,8,2,1,11,4,6,10,7,9]=>[2,8,5,12,11,3,10,4,7,6,1,9]
[12,5,3,9,2,1,6,7,4,10,11,8]=>[2,9,5,12,7,1,6,11,4,3,10,8]
[8,6,3,1,4,2,7,5,10,9,12,11]=>[3,6,4,2,8,7,5,1,10,9,12,11]
[8,6,3,1,4,2,7,5,12,9,11,10]=>[3,6,4,2,8,7,5,1,12,11,9,10]
[10,6,3,9,4,2,7,1,5,8,12,11]=>[7,4,9,6,1,10,3,5,2,8,12,11]
[12,6,3,9,4,2,7,11,5,1,8,10]=>[5,4,11,9,6,12,2,3,1,8,7,10]
[12,6,3,10,4,2,7,1,8,5,11,9]=>[7,4,10,6,12,8,3,1,11,5,2,9]
[10,6,3,1,9,2,4,8,5,7,12,11]=>[3,6,10,2,9,8,4,5,1,7,12,11]
[12,6,3,11,9,2,4,8,5,1,7,10]=>[5,8,9,1,6,11,2,4,12,7,3,10]
[12,6,3,1,10,2,11,8,4,5,7,9]=>[3,6,12,10,2,8,5,11,7,1,4,9]
[12,6,3,1,10,2,4,7,9,5,11,8]=>[3,6,12,2,10,9,5,11,7,1,4,8]
[10,7,3,1,4,5,2,8,9,6,12,11]=>[3,7,5,2,4,10,9,6,8,1,12,11]
[12,7,3,11,4,5,2,8,9,1,6,10]=>[9,5,7,12,3,1,11,2,8,6,4,10]
[12,7,3,1,11,5,2,8,4,10,6,9]=>[3,7,5,12,11,8,10,1,2,6,4,9]
[12,7,3,1,4,11,2,5,9,10,6,8]=>[3,7,12,1,2,11,10,5,6,9,4,8]
[12,8,3,1,4,5,6,2,9,10,11,7]=>[3,8,6,2,4,5,12,11,7,9,10,1]
[6,1,2,4,5,3,8,7,10,9,12,11]=>[6,1,5,2,4,3,8,7,10,9,12,11]
[6,1,2,4,5,3,8,7,12,9,11,10]=>[6,1,5,2,4,3,8,7,12,11,9,10]
[6,1,2,4,5,3,10,7,9,8,12,11]=>[6,1,5,2,4,3,10,9,7,8,12,11]
[6,1,2,4,5,3,12,11,9,7,8,10]=>[6,1,5,2,4,3,9,7,11,8,12,10]
[6,1,2,4,5,3,12,7,8,10,11,9]=>[6,1,5,2,4,3,12,7,11,8,10,9]
[8,7,2,4,5,1,3,6,10,9,12,11]=>[5,7,1,2,4,3,8,6,10,9,12,11]
[8,7,2,4,5,1,3,6,12,9,11,10]=>[5,7,1,2,4,3,8,6,12,11,9,10]
[10,7,2,4,5,9,3,1,6,8,12,11]=>[3,9,7,1,4,2,10,6,5,8,12,11]
[12,7,2,4,5,9,3,11,6,1,8,10]=>[6,11,7,1,4,12,9,2,5,8,3,10]
[12,7,2,4,5,10,3,1,8,6,11,9]=>[3,10,7,1,4,12,8,2,11,6,5,9]
[10,8,2,4,5,1,6,3,9,7,12,11]=>[5,8,6,2,4,1,10,9,7,3,12,11]
[12,8,2,4,5,11,6,3,9,1,7,10]=>[9,8,6,3,4,12,1,11,2,7,5,10]
[12,8,2,4,5,1,11,3,6,10,7,9]=>[5,8,12,3,4,2,11,10,6,7,1,9]
[12,9,2,4,5,1,6,7,3,10,11,8]=>[5,9,7,2,4,1,6,12,11,8,10,3]
[8,1,7,4,2,6,3,5,10,9,12,11]=>[8,4,7,6,2,3,1,5,10,9,12,11]
[8,1,7,4,2,6,3,5,12,9,11,10]=>[8,4,7,6,2,3,1,5,12,11,9,10]
[10,9,7,4,2,6,3,1,5,8,12,11]=>[3,6,4,7,2,1,9,5,10,8,12,11]
[12,9,7,4,2,6,3,11,5,1,8,10]=>[5,4,11,7,6,2,9,3,12,8,1,10]
[12,10,7,4,2,6,3,1,8,5,11,9]=>[3,6,4,7,10,5,8,2,12,11,9,1]
[10,1,8,4,9,6,2,3,5,7,12,11]=>[10,6,2,9,4,8,5,1,3,7,12,11]
[12,11,8,4,9,6,2,3,5,1,7,10]=>[5,6,2,9,4,8,1,11,3,7,12,10]
[12,1,8,4,10,6,11,3,2,5,7,9]=>[12,3,11,8,2,10,5,1,7,4,6,9]
[12,1,9,4,10,6,2,7,3,5,11,8]=>[12,6,10,7,4,9,3,11,1,2,5,8]
[10,1,8,4,2,5,7,3,9,6,12,11]=>[10,4,8,7,3,9,5,1,2,6,12,11]
[12,11,8,4,2,5,7,3,9,1,6,10]=>[9,4,8,7,3,1,5,11,2,6,12,10]
[12,1,8,4,11,5,7,3,2,10,6,9]=>[12,3,7,8,11,10,5,1,6,2,4,9]
[12,1,9,4,2,11,7,5,3,10,6,8]=>[12,4,9,5,7,11,10,2,1,6,3,8]
[12,1,9,4,2,5,6,8,3,10,11,7]=>[12,4,9,8,3,5,11,6,1,2,10,7]
[8,1,2,3,5,6,7,4,10,9,12,11]=>[8,1,2,7,3,5,6,4,10,9,12,11]
[8,1,2,3,5,6,7,4,12,9,11,10]=>[8,1,2,7,3,5,6,4,12,11,9,10]
[10,9,2,3,5,6,7,1,4,8,12,11]=>[7,9,2,1,3,5,6,4,10,8,12,11]
[12,9,2,3,5,6,7,11,4,1,8,10]=>[4,11,1,9,3,5,6,2,12,8,7,10]
[12,10,2,3,5,6,7,1,8,4,11,9]=>[7,10,2,8,3,5,6,1,12,11,9,4]
[10,1,9,3,5,6,2,8,4,7,12,11]=>[10,6,9,8,3,5,4,2,1,7,12,11]
[12,11,9,3,5,6,2,8,4,1,7,10]=>[4,8,6,9,1,5,2,3,11,7,12,10]
[12,1,10,3,5,6,11,8,2,4,7,9]=>[12,8,11,3,2,5,4,10,7,1,6,9]
[12,1,10,3,5,6,2,7,9,4,11,8]=>[12,6,10,9,3,5,2,11,7,1,4,8]
[10,1,2,9,5,3,7,8,4,6,12,11]=>[10,1,5,9,8,3,4,7,2,6,12,11]
[12,11,2,9,5,3,7,8,4,1,6,10]=>[4,8,11,5,9,2,1,7,3,6,12,10]
[12,1,11,10,5,3,7,8,2,4,6,9]=>[12,8,5,2,10,4,3,7,6,11,1,9]
[12,1,2,10,5,11,7,3,9,4,6,8]=>[12,1,7,11,9,5,10,6,4,2,3,8]
[12,1,2,10,5,3,6,8,9,4,11,7]=>[12,1,5,10,9,4,11,6,8,2,3,7]
[10,1,2,3,4,6,7,8,9,5,12,11]=>[10,1,2,3,9,4,6,7,8,5,12,11]
[12,11,2,3,4,6,7,8,9,1,5,10]=>[9,11,2,3,1,4,6,7,8,5,12,10]
[12,1,11,3,4,6,7,8,2,10,5,9]=>[12,8,11,3,10,4,6,7,5,2,1,9]
[12,1,2,11,4,6,7,3,9,10,5,8]=>[12,1,7,11,10,4,6,5,3,9,2,8]
[12,1,2,3,11,6,4,8,9,10,5,7]=>[12,1,2,6,11,10,4,5,8,9,3,7]
[2,1,4,3,12,11,7,9,8,10,6,5]=>[2,1,4,3,6,10,11,9,7,8,12,5]
[2,1,4,3,12,11,9,8,7,10,6,5]=>[2,1,4,3,6,10,8,9,11,7,12,5]
[2,1,10,9,5,7,6,8,4,3,12,11]=>[2,1,4,8,9,7,5,6,10,3,12,11]
[2,1,12,11,5,7,6,9,8,10,4,3]=>[2,1,4,10,11,7,5,9,6,8,12,3]
[2,1,12,11,5,7,6,10,9,8,4,3]=>[2,1,4,8,9,7,5,10,11,6,12,3]
[2,1,12,11,5,9,8,7,6,10,4,3]=>[2,1,4,10,11,7,8,9,5,6,12,3]
[2,1,10,9,7,6,5,8,4,3,12,11]=>[2,1,4,8,6,7,9,5,10,3,12,11]
[2,1,12,11,7,6,5,9,8,10,4,3]=>[2,1,4,10,6,7,11,9,5,8,12,3]
[2,1,12,11,7,6,5,10,9,8,4,3]=>[2,1,4,8,6,7,9,10,11,5,12,3]
[2,1,12,11,9,8,7,6,5,10,4,3]=>[2,1,4,10,6,7,8,9,11,5,12,3]
[4,3,2,1,12,11,7,9,8,10,6,5]=>[2,3,4,1,6,10,11,9,7,8,12,5]
[4,3,2,1,12,11,9,8,7,10,6,5]=>[2,3,4,1,6,10,8,9,11,7,12,5]
[8,7,3,5,4,6,2,1,10,9,12,11]=>[2,6,7,5,3,4,8,1,10,9,12,11]
[8,7,3,5,4,6,2,1,12,11,10,9]=>[2,6,7,5,3,4,8,1,10,11,12,9]
[10,9,3,5,4,7,6,8,2,1,12,11]=>[2,8,9,5,3,7,4,6,10,1,12,11]
[12,11,3,5,4,7,6,9,8,10,2,1]=>[2,10,11,5,3,7,4,9,6,8,12,1]
[12,11,3,5,4,7,6,10,9,8,2,1]=>[2,8,9,5,3,7,4,10,11,6,12,1]
[10,9,3,5,4,8,7,6,2,1,12,11]=>[2,6,7,5,3,8,9,4,10,1,12,11]
[12,11,3,5,4,9,8,7,6,10,2,1]=>[2,10,11,5,3,7,8,9,4,6,12,1]
[12,11,3,5,4,10,9,8,7,6,2,1]=>[2,6,7,5,3,8,9,10,11,4,12,1]
[10,9,3,7,6,5,4,8,2,1,12,11]=>[2,8,9,5,6,7,3,4,10,1,12,11]
[12,11,3,7,6,5,4,9,8,10,2,1]=>[2,10,11,5,6,7,3,9,4,8,12,1]
[12,11,3,7,6,5,4,10,9,8,2,1]=>[2,8,9,5,6,7,3,10,11,4,12,1]
[12,11,3,9,8,6,7,5,4,10,2,1]=>[2,10,11,5,7,8,6,9,3,4,12,1]
[12,11,3,10,9,6,8,7,5,4,2,1]=>[2,4,5,7,8,11,9,1,10,6,12,3]
[12,11,3,9,8,7,6,5,4,10,2,1]=>[2,10,11,5,6,7,8,9,3,4,12,1]
[8,7,5,4,3,6,2,1,10,9,12,11]=>[2,6,4,5,7,3,8,1,10,9,12,11]
[8,7,5,4,3,6,2,1,12,11,10,9]=>[2,6,4,5,7,3,8,1,10,11,12,9]
[10,9,5,4,3,7,6,8,2,1,12,11]=>[2,8,4,5,9,7,3,6,10,1,12,11]
[12,11,5,4,3,7,6,9,8,10,2,1]=>[2,10,4,5,11,7,3,9,6,8,12,1]
[12,11,5,4,3,7,6,10,9,8,2,1]=>[2,8,4,5,9,7,3,10,11,6,12,1]
[10,9,5,4,3,8,7,6,2,1,12,11]=>[2,6,4,5,7,8,9,3,10,1,12,11]
[12,11,5,4,3,9,8,7,6,10,2,1]=>[2,10,4,5,11,7,8,9,3,6,12,1]
[12,11,5,4,3,10,9,8,7,6,2,1]=>[2,6,4,5,7,8,9,10,11,3,12,1]
[10,9,7,6,5,4,3,8,2,1,12,11]=>[2,8,4,5,6,7,9,3,10,1,12,11]
[12,11,7,6,5,4,3,9,8,10,2,1]=>[2,10,4,5,6,7,11,9,3,8,12,1]
[12,11,7,6,5,4,3,10,9,8,2,1]=>[2,8,4,5,6,7,9,10,11,3,12,1]
[12,11,9,8,6,5,7,4,3,10,2,1]=>[2,10,4,7,6,8,5,9,11,3,12,1]
[12,11,9,8,7,6,5,4,3,10,2,1]=>[2,10,4,5,6,7,8,9,11,3,12,1]
[2,1,4,3,6,5,8,7,12,9,10,11]=>[2,1,4,3,6,5,8,7,12,9,10,11]
[2,1,4,3,6,5,10,7,8,9,12,11]=>[2,1,4,3,6,5,10,7,8,9,12,11]
[2,1,4,3,6,5,12,11,8,7,10,9]=>[2,1,4,3,6,5,8,11,10,7,12,9]
[2,1,4,3,6,5,12,7,8,9,10,11]=>[2,1,4,3,6,5,12,7,8,9,10,11]
[2,1,4,3,8,5,6,7,10,9,12,11]=>[2,1,4,3,8,5,6,7,10,9,12,11]
[2,1,4,3,8,5,6,7,12,9,10,11]=>[2,1,4,3,8,5,6,7,12,9,10,11]
[2,1,4,3,10,9,6,5,8,7,12,11]=>[2,1,4,3,6,9,8,5,10,7,12,11]
[2,1,4,3,12,9,6,11,8,5,10,7]=>[2,1,4,3,8,11,9,12,10,6,5,7]
[2,1,4,3,12,11,6,5,8,9,10,7]=>[2,1,4,3,6,11,10,5,8,9,12,7]
[2,1,4,3,10,5,6,7,8,9,12,11]=>[2,1,4,3,10,5,6,7,8,9,12,11]
[2,1,4,3,12,11,6,7,8,5,10,9]=>[2,1,4,3,8,11,6,7,10,5,12,9]
[2,1,4,3,12,5,10,7,6,9,8,11]=>[2,1,4,3,12,7,10,9,6,5,8,11]
[2,1,4,3,12,5,6,7,8,9,10,11]=>[2,1,4,3,12,5,6,7,8,9,10,11]
[2,1,6,3,4,5,8,7,10,9,12,11]=>[2,1,6,3,4,5,8,7,10,9,12,11]
[2,1,6,3,4,5,8,7,12,9,10,11]=>[2,1,6,3,4,5,8,7,12,9,10,11]
[2,1,6,3,4,5,10,7,8,9,12,11]=>[2,1,6,3,4,5,10,7,8,9,12,11]
[2,1,6,3,4,5,12,11,8,7,10,9]=>[2,1,6,3,4,5,8,11,10,7,12,9]
[2,1,6,3,4,5,12,7,8,9,10,11]=>[2,1,6,3,4,5,12,7,8,9,10,11]
[2,1,8,7,4,3,6,5,10,9,12,11]=>[2,1,4,7,6,3,8,5,10,9,12,11]
[2,1,8,7,4,3,6,5,12,9,10,11]=>[2,1,4,7,6,3,8,5,12,9,10,11]
[2,1,10,7,4,9,6,3,8,5,12,11]=>[2,1,6,9,7,10,8,4,3,5,12,11]
[2,1,12,7,4,9,6,11,8,3,10,5]=>[2,1,8,7,11,12,10,9,6,5,3,4]
[2,1,12,7,4,11,6,3,8,9,10,5]=>[2,1,6,11,7,12,10,4,8,9,3,5]
[2,1,10,9,4,3,6,7,8,5,12,11]=>[2,1,4,9,8,3,6,7,10,5,12,11]
[2,1,12,9,4,11,6,7,8,3,10,5]=>[2,1,8,9,12,10,4,7,11,3,5,6]
[2,1,12,11,4,3,10,7,6,9,8,5]=>[2,1,4,11,8,7,9,10,5,3,12,6]
[2,1,12,11,4,3,6,7,8,9,10,5]=>[2,1,4,11,10,3,6,7,8,9,12,5]
[2,1,8,3,4,5,6,7,10,9,12,11]=>[2,1,8,3,4,5,6,7,10,9,12,11]
[2,1,8,3,4,5,6,7,12,9,10,11]=>[2,1,8,3,4,5,6,7,12,9,10,11]
[2,1,10,9,4,5,6,3,8,7,12,11]=>[2,1,6,9,4,5,8,3,10,7,12,11]
[2,1,12,9,4,5,6,11,8,3,10,7]=>[2,1,8,11,3,5,9,12,10,4,6,7]
[2,1,12,11,4,5,6,3,8,9,10,7]=>[2,1,6,11,4,5,10,3,8,9,12,7]
[2,1,10,3,8,5,4,7,6,9,12,11]=>[2,1,10,5,8,7,4,3,6,9,12,11]
[2,1,12,11,8,5,4,7,6,3,10,9]=>[2,1,6,5,7,8,3,11,10,4,12,9]
[2,1,12,3,8,5,10,7,4,9,6,11]=>[2,1,12,7,10,8,9,3,5,6,4,11]
[2,1,12,3,10,5,4,7,8,9,6,11]=>[2,1,12,5,10,9,4,7,8,3,6,11]
[2,1,10,3,4,5,6,7,8,9,12,11]=>[2,1,10,3,4,5,6,7,8,9,12,11]
[2,1,12,11,4,5,6,7,8,3,10,9]=>[2,1,8,11,4,5,6,7,10,3,12,9]
[2,1,12,3,10,5,6,7,4,9,8,11]=>[2,1,12,7,10,5,6,9,4,3,8,11]
[2,1,12,3,4,9,6,5,8,7,10,11]=>[2,1,12,3,6,9,8,5,4,7,10,11]
[2,1,12,3,4,5,6,7,8,9,10,11]=>[2,1,12,3,4,5,6,7,8,9,10,11]
[4,1,2,3,6,5,8,7,10,9,12,11]=>[4,1,2,3,6,5,8,7,10,9,12,11]
[4,1,2,3,6,5,8,7,12,9,10,11]=>[4,1,2,3,6,5,8,7,12,9,10,11]
[4,1,2,3,6,5,10,7,8,9,12,11]=>[4,1,2,3,6,5,10,7,8,9,12,11]
[4,1,2,3,6,5,12,11,8,7,10,9]=>[4,1,2,3,6,5,8,11,10,7,12,9]
[4,1,2,3,6,5,12,7,8,9,10,11]=>[4,1,2,3,6,5,12,7,8,9,10,11]
[4,1,2,3,8,5,6,7,10,9,12,11]=>[4,1,2,3,8,5,6,7,10,9,12,11]
[4,1,2,3,8,5,6,7,12,9,10,11]=>[4,1,2,3,8,5,6,7,12,9,10,11]
[4,1,2,3,10,9,6,5,8,7,12,11]=>[4,1,2,3,6,9,8,5,10,7,12,11]
[4,1,2,3,12,9,6,11,8,5,10,7]=>[4,1,2,3,8,11,9,12,10,6,5,7]
[4,1,2,3,12,11,6,5,8,9,10,7]=>[4,1,2,3,6,11,10,5,8,9,12,7]
[4,1,2,3,10,5,6,7,8,9,12,11]=>[4,1,2,3,10,5,6,7,8,9,12,11]
[4,1,2,3,12,11,6,7,8,5,10,9]=>[4,1,2,3,8,11,6,7,10,5,12,9]
[4,1,2,3,12,5,10,7,6,9,8,11]=>[4,1,2,3,12,7,10,9,6,5,8,11]
[4,1,2,3,12,5,6,7,8,9,10,11]=>[4,1,2,3,12,5,6,7,8,9,10,11]
[6,5,2,1,4,3,8,7,10,9,12,11]=>[2,5,4,1,6,3,8,7,10,9,12,11]
[6,5,2,1,4,3,8,7,12,9,10,11]=>[2,5,4,1,6,3,8,7,12,9,10,11]
[6,5,2,1,4,3,10,7,8,9,12,11]=>[2,5,4,1,6,3,10,7,8,9,12,11]
[6,5,2,1,4,3,12,7,8,9,10,11]=>[2,5,4,1,6,3,12,7,8,9,10,11]
[8,5,2,7,4,1,6,3,10,9,12,11]=>[4,7,5,8,6,2,1,3,10,9,12,11]
[8,5,2,7,4,1,6,3,12,9,10,11]=>[4,7,5,8,6,2,1,3,12,9,10,11]
[10,5,2,7,4,9,6,1,8,3,12,11]=>[6,5,9,10,8,7,4,3,1,2,12,11]
[12,5,2,7,4,9,6,11,8,1,10,3]=>[8,5,11,12,7,10,4,9,2,3,1,6]
[12,5,2,7,4,11,6,1,8,9,10,3]=>[6,5,11,12,10,7,4,3,8,9,1,2]
[10,5,2,9,4,1,6,7,8,3,12,11]=>[4,9,5,10,8,2,6,7,1,3,12,11]
[12,5,2,9,4,11,6,7,8,1,10,3]=>[8,5,12,10,9,11,6,7,3,1,2,4]
[12,5,2,11,4,1,10,7,6,9,8,3]=>[4,11,5,12,8,7,9,10,3,2,1,6]
[12,5,2,11,4,1,6,7,8,9,10,3]=>[4,11,5,12,10,2,6,7,8,9,1,3]
[8,7,2,1,4,5,6,3,10,9,12,11]=>[2,7,6,1,4,5,8,3,10,9,12,11]
[8,7,2,1,4,5,6,3,12,9,10,11]=>[2,7,6,1,4,5,8,3,12,9,10,11]
[10,7,2,9,4,5,6,1,8,3,12,11]=>[6,7,10,8,2,5,9,1,3,4,12,11]
[12,7,2,9,4,5,6,11,8,1,10,3]=>[8,7,11,12,1,5,10,9,4,3,6,2]
[12,7,2,11,4,5,6,1,8,9,10,3]=>[6,7,12,10,2,5,11,1,8,9,3,4]
[10,9,2,1,8,5,4,7,6,3,12,11]=>[2,9,6,5,7,8,3,1,10,4,12,11]
[12,9,2,11,8,5,4,7,6,1,10,3]=>[6,7,9,5,12,8,3,10,11,2,4,1]
[12,11,2,1,8,5,10,7,4,9,6,3]=>[2,11,6,9,7,10,8,1,3,5,12,4]
[12,11,2,1,10,5,4,7,8,9,6,3]=>[2,11,6,5,9,10,3,7,8,1,12,4]
[10,9,2,1,4,5,6,7,8,3,12,11]=>[2,9,8,1,4,5,6,7,10,3,12,11]
[12,9,2,11,4,5,6,7,8,1,10,3]=>[8,9,12,10,2,5,6,7,11,1,3,4]
[12,11,2,1,10,5,6,7,4,9,8,3]=>[2,11,8,7,9,3,6,10,4,1,12,5]
[12,11,2,1,4,9,6,5,8,7,10,3]=>[2,11,10,1,6,9,8,5,4,7,12,3]
[12,11,2,1,4,5,6,7,8,9,10,3]=>[2,11,10,1,4,5,6,7,8,9,12,3]
[6,1,2,3,4,5,8,7,10,9,12,11]=>[6,1,2,3,4,5,8,7,10,9,12,11]
[6,1,2,3,4,5,8,7,12,9,10,11]=>[6,1,2,3,4,5,8,7,12,9,10,11]
[6,1,2,3,4,5,10,7,8,9,12,11]=>[6,1,2,3,4,5,10,7,8,9,12,11]
[6,1,2,3,4,5,12,11,8,7,10,9]=>[6,1,2,3,4,5,8,11,10,7,12,9]
[6,1,2,3,4,5,12,7,8,9,10,11]=>[6,1,2,3,4,5,12,7,8,9,10,11]
[8,7,2,3,4,1,6,5,10,9,12,11]=>[4,7,2,3,6,1,8,5,10,9,12,11]
[8,7,2,3,4,1,6,5,12,9,10,11]=>[4,7,2,3,6,1,8,5,12,9,10,11]
[10,7,2,3,4,9,6,1,8,5,12,11]=>[6,9,1,3,7,10,8,2,4,5,12,11]
[12,7,2,3,4,9,6,11,8,1,10,5]=>[8,7,1,3,11,12,10,9,6,5,4,2]
[12,7,2,3,4,11,6,1,8,9,10,5]=>[6,11,1,3,7,12,10,2,8,9,4,5]
[10,9,2,3,4,1,6,7,8,5,12,11]=>[4,9,2,3,8,1,6,7,10,5,12,11]
[12,9,2,3,4,11,6,7,8,1,10,5]=>[8,9,2,3,12,10,4,7,11,1,5,6]
[12,11,2,3,4,1,10,7,6,9,8,5]=>[4,11,2,3,8,7,9,10,5,1,12,6]
[12,11,2,3,4,1,6,7,8,9,10,5]=>[4,11,2,3,10,1,6,7,8,9,12,5]
[8,1,6,3,2,5,4,7,10,9,12,11]=>[8,3,6,5,2,1,4,7,10,9,12,11]
[8,1,6,3,2,5,4,7,12,9,10,11]=>[8,3,6,5,2,1,4,7,12,9,10,11]
[10,9,6,3,2,5,4,1,8,7,12,11]=>[4,3,5,6,1,9,8,2,10,7,12,11]
[12,9,6,3,2,5,4,11,8,1,10,7]=>[8,3,6,5,1,11,9,12,10,2,4,7]
[12,11,6,3,2,5,4,1,8,9,10,7]=>[4,3,5,6,1,11,10,2,8,9,12,7]
[10,1,6,3,8,5,2,7,4,9,12,11]=>[10,5,8,6,7,1,3,4,2,9,12,11]
[12,11,6,3,8,5,2,7,4,1,10,9]=>[4,7,5,8,6,11,1,3,10,2,12,9]
[12,1,6,3,8,5,10,7,2,9,4,11]=>[12,7,6,10,9,1,8,3,4,2,5,11]
[12,1,6,3,10,5,2,7,8,9,4,11]=>[12,5,10,6,9,1,3,7,8,4,2,11]
[10,1,8,3,2,5,6,7,4,9,12,11]=>[10,3,8,7,2,5,6,1,4,9,12,11]
[12,11,8,3,2,5,6,7,4,1,10,9]=>[4,3,7,8,1,5,6,11,10,2,12,9]
[12,1,8,3,10,5,6,7,2,9,4,11]=>[12,7,8,9,10,5,6,1,2,3,4,11]
[12,1,10,3,2,9,6,5,8,7,4,11]=>[12,3,10,7,6,8,9,4,2,1,5,11]
[12,1,10,3,2,5,6,7,8,9,4,11]=>[12,3,10,9,2,5,6,7,8,1,4,11]
[8,1,2,3,4,5,6,7,10,9,12,11]=>[8,1,2,3,4,5,6,7,10,9,12,11]
[8,1,2,3,4,5,6,7,12,9,10,11]=>[8,1,2,3,4,5,6,7,12,9,10,11]
[10,9,2,3,4,5,6,1,8,7,12,11]=>[6,9,2,3,4,5,8,1,10,7,12,11]
[12,9,2,3,4,5,6,11,8,1,10,7]=>[8,11,1,3,4,5,9,12,10,2,6,7]
[12,11,2,3,4,5,6,1,8,9,10,7]=>[6,11,2,3,4,5,10,1,8,9,12,7]
[10,1,8,3,4,5,2,7,6,9,12,11]=>[10,5,8,3,4,7,2,1,6,9,12,11]
[12,11,8,3,4,5,2,7,6,1,10,9]=>[6,5,7,1,4,8,2,11,10,3,12,9]
[12,1,8,3,4,5,10,7,2,9,6,11]=>[12,7,10,2,4,8,9,1,3,6,5,11]
[12,1,10,3,4,5,2,7,8,9,6,11]=>[12,5,10,3,4,9,2,7,8,1,6,11]
[10,1,2,7,4,3,6,5,8,9,12,11]=>[10,1,4,7,6,3,2,5,8,9,12,11]
[12,11,2,7,4,3,6,5,8,1,10,9]=>[8,11,4,7,6,3,2,5,10,1,12,9]
[12,1,10,7,4,3,6,5,2,9,8,11]=>[12,5,4,6,7,2,10,9,3,1,8,11]
[12,1,2,7,4,9,6,3,8,5,10,11]=>[12,1,6,9,7,8,2,4,5,3,10,11]
[12,1,2,9,4,3,6,7,8,5,10,11]=>[12,1,4,9,8,3,6,7,2,5,10,11]
[10,1,2,3,4,5,6,7,8,9,12,11]=>[10,1,2,3,4,5,6,7,8,9,12,11]
[12,11,2,3,4,5,6,7,8,1,10,9]=>[8,11,2,3,4,5,6,7,10,1,12,9]
[12,1,10,3,4,5,6,7,2,9,8,11]=>[12,7,10,3,4,5,6,9,2,1,8,11]
[12,1,2,9,4,5,6,3,8,7,10,11]=>[12,1,6,9,4,5,8,3,2,7,10,11]
[12,1,2,3,8,5,4,7,6,9,10,11]=>[12,1,2,5,8,7,4,3,6,9,10,11]
[12,1,2,3,4,5,6,7,8,9,10,11]=>[12,1,2,3,4,5,6,7,8,9,10,11]
[8,6,7,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,7,8,6,5,4,3,2,1]
[9,7,5,6,8,4,10,3,11,2,12,1]=>[12,11,10,8,7,5,9,6,4,3,2,1]
[10,8,9,6,4,5,7,3,11,2,12,1]=>[12,11,7,6,4,9,5,10,8,3,2,1]
[10,7,5,6,4,8,9,3,11,2,12,1]=>[12,11,9,6,7,5,10,4,8,3,2,1]
[10,8,6,4,5,7,9,3,11,2,12,1]=>[12,11,9,6,4,8,5,10,7,3,2,1]
[10,8,9,7,11,5,3,4,6,2,12,1]=>[12,6,5,3,11,4,9,10,8,7,2,1]
[11,9,7,8,10,5,3,4,6,2,12,1]=>[12,6,5,3,10,4,9,7,11,8,2,1]
[11,9,10,6,4,5,3,7,8,2,12,1]=>[12,8,5,6,4,10,3,7,11,9,2,1]
[11,9,10,7,5,3,4,6,8,2,12,1]=>[12,8,5,3,7,4,10,6,11,9,2,1]
[11,7,5,6,4,8,3,9,10,2,12,1]=>[12,10,8,6,7,5,11,4,3,9,2,1]
[11,8,6,4,5,7,3,9,10,2,12,1]=>[12,10,7,6,4,8,5,11,3,9,2,1]
[11,9,7,8,5,3,4,6,10,2,12,1]=>[12,10,5,3,8,4,9,7,11,6,2,1]
[11,9,6,4,5,3,7,8,10,2,12,1]=>[12,10,5,6,4,9,3,7,11,8,2,1]
[11,9,7,5,3,4,6,8,10,2,12,1]=>[12,10,5,3,7,4,9,6,11,8,2,1]
[10,8,9,7,11,6,12,4,2,3,5,1]=>[5,4,2,12,3,11,9,10,8,7,6,1]
[11,9,7,8,10,6,12,4,2,3,5,1]=>[5,4,2,12,3,10,9,7,11,8,6,1]
[11,9,10,7,5,6,8,3,2,4,12,1]=>[12,3,8,2,7,5,10,6,11,9,4,1]
[12,9,7,8,6,10,11,4,2,3,5,1]=>[5,4,2,11,3,8,9,7,12,6,10,1]
[12,10,8,6,7,9,11,4,2,3,5,1]=>[5,4,2,11,3,8,6,10,7,12,9,1]
[11,9,10,8,12,5,3,4,2,6,7,1]=>[7,4,5,3,12,2,6,10,11,9,8,1]
[12,10,8,9,11,5,3,4,2,6,7,1]=>[7,4,5,3,11,2,6,10,8,12,9,1]
[11,9,10,8,12,6,4,2,3,5,7,1]=>[7,4,2,6,3,12,5,10,11,9,8,1]
[12,10,8,9,11,6,4,2,3,5,7,1]=>[7,4,2,6,3,11,5,10,8,12,9,1]
[12,10,11,6,4,5,3,7,2,8,9,1]=>[9,7,5,6,4,11,3,2,8,12,10,1]
[12,10,11,7,5,3,4,6,2,8,9,1]=>[9,6,5,3,7,4,11,2,8,12,10,1]
[12,10,11,8,6,7,4,2,3,5,9,1]=>[9,4,2,7,3,8,6,11,5,12,10,1]
[12,10,11,8,5,3,4,2,6,7,9,1]=>[9,4,5,3,8,2,6,11,7,12,10,1]
[12,10,11,8,6,4,2,3,5,7,9,1]=>[9,4,2,6,3,8,5,11,7,12,10,1]
[12,7,5,6,4,8,3,9,2,10,11,1]=>[11,9,8,6,7,5,12,4,3,2,10,1]
[12,8,6,4,5,7,3,9,2,10,11,1]=>[11,9,7,6,4,8,5,12,3,2,10,1]
[12,9,7,8,5,3,4,6,2,10,11,1]=>[11,6,5,3,8,4,9,7,12,2,10,1]
[12,9,6,4,5,3,7,8,2,10,11,1]=>[11,8,5,6,4,9,3,7,12,2,10,1]
[12,9,7,5,3,4,6,8,2,10,11,1]=>[11,8,5,3,7,4,9,6,12,2,10,1]
[12,9,7,8,6,10,4,2,3,5,11,1]=>[11,4,2,10,3,8,9,7,12,6,5,1]
[12,10,8,6,7,9,4,2,3,5,11,1]=>[11,4,2,9,3,8,6,10,7,12,5,1]
[12,10,8,9,5,3,4,2,6,7,11,1]=>[11,4,5,3,9,2,6,10,8,12,7,1]
[12,10,8,9,6,4,2,3,5,7,11,1]=>[11,4,2,6,3,9,5,10,8,12,7,1]
[12,10,6,4,5,3,7,2,8,9,11,1]=>[11,7,5,6,4,10,3,2,8,12,9,1]
[12,10,7,5,3,4,6,2,8,9,11,1]=>[11,6,5,3,7,4,10,2,8,12,9,1]
[12,10,8,6,7,4,2,3,5,9,11,1]=>[11,4,2,7,3,8,6,10,5,12,9,1]
[12,10,8,5,3,4,2,6,7,9,11,1]=>[11,4,5,3,8,2,6,10,7,12,9,1]
[12,10,8,6,4,2,3,5,7,9,11,1]=>[11,4,2,6,3,8,5,10,7,12,9,1]
[9,7,8,6,10,5,11,4,12,2,1,3]=>[2,12,1,11,10,8,9,7,6,5,4,3]
[10,8,6,7,9,5,11,4,12,2,1,3]=>[2,12,1,11,9,8,6,10,7,5,4,3]
[11,9,10,7,5,6,8,4,12,2,1,3]=>[2,12,1,8,7,5,10,6,11,9,4,3]
[11,8,6,7,5,9,10,4,12,2,1,3]=>[2,12,1,10,7,8,6,11,5,9,4,3]
[11,9,7,5,6,8,10,4,12,2,1,3]=>[2,12,1,10,7,5,9,6,11,8,4,3]
[11,9,10,8,12,6,4,5,7,2,1,3]=>[2,7,1,6,4,12,5,10,11,9,8,3]
[12,10,8,9,11,6,4,5,7,2,1,3]=>[2,7,1,6,4,11,5,10,8,12,9,3]
[12,10,11,7,5,6,4,8,9,2,1,3]=>[2,9,1,6,7,5,11,4,8,12,10,3]
[12,10,11,8,6,4,5,7,9,2,1,3]=>[2,9,1,6,4,8,5,11,7,12,10,3]
[12,8,6,7,5,9,4,10,11,2,1,3]=>[2,11,1,9,7,8,6,12,5,4,10,3]
[12,9,7,5,6,8,4,10,11,2,1,3]=>[2,11,1,8,7,5,9,6,12,4,10,3]
[12,10,8,9,6,4,5,7,11,2,1,3]=>[2,11,1,6,4,9,5,10,8,12,7,3]
[12,10,7,5,6,4,8,9,11,2,1,3]=>[2,11,1,6,7,5,10,4,8,12,9,3]
[12,10,8,6,4,5,7,9,11,2,1,3]=>[2,11,1,6,4,8,5,10,7,12,9,3]
[9,7,8,6,10,5,11,3,2,4,1,12]=>[4,3,11,2,10,8,9,7,6,5,1,12]
[10,8,6,7,9,5,11,3,2,4,1,12]=>[4,3,11,2,9,8,6,10,7,5,1,12]
[12,10,11,8,6,7,9,4,2,3,1,5]=>[3,4,2,9,1,8,6,11,7,12,10,5]
[11,8,6,7,5,9,10,3,2,4,1,12]=>[4,3,10,2,7,8,6,11,5,9,1,12]
[11,9,7,5,6,8,10,3,2,4,1,12]=>[4,3,10,2,7,5,9,6,11,8,1,12]
[12,8,6,7,5,9,4,10,2,1,3,11]=>[2,10,1,9,7,8,6,12,5,4,3,11]
[12,9,7,5,6,8,4,10,2,1,3,11]=>[2,10,1,8,7,5,9,6,12,4,3,11]
[12,10,11,8,6,7,9,4,2,1,3,5]=>[2,4,1,9,3,8,6,11,7,12,10,5]
[12,10,7,5,6,4,8,9,2,1,3,11]=>[2,9,1,6,7,5,10,4,8,12,3,11]
[12,10,8,6,4,5,7,9,2,1,3,11]=>[2,9,1,6,4,8,5,10,7,12,3,11]
[9,7,8,6,10,4,3,5,2,11,1,12]=>[11,5,4,10,3,8,9,7,6,2,1,12]
[10,8,6,7,9,4,3,5,2,11,1,12]=>[11,5,4,9,3,8,6,10,7,2,1,12]
[11,8,6,7,5,9,3,2,4,10,1,12]=>[10,3,9,2,7,8,6,11,5,4,1,12]
[11,9,7,5,6,8,3,2,4,10,1,12]=>[10,3,8,2,7,5,9,6,11,4,1,12]
[11,9,10,8,12,6,4,5,2,1,3,7]=>[2,5,1,6,4,12,3,10,11,9,8,7]
[12,10,8,9,11,6,4,5,2,1,3,7]=>[2,5,1,6,4,11,3,10,8,12,9,7]
[12,8,6,7,5,9,3,2,4,1,10,11]=>[4,3,9,2,7,8,6,12,5,1,10,11]
[12,9,7,5,6,8,3,2,4,1,10,11]=>[4,3,8,2,7,5,9,6,12,1,10,11]
[12,10,7,5,6,4,8,2,1,3,9,11]=>[2,8,1,6,7,5,10,4,3,12,9,11]
[12,10,8,6,4,5,7,2,1,3,9,11]=>[2,7,1,6,4,8,5,10,3,12,9,11]
[9,7,8,5,4,6,3,10,2,11,1,12]=>[11,10,6,5,8,4,9,7,3,2,1,12]
[10,8,6,7,4,3,5,9,2,11,1,12]=>[11,9,4,7,3,8,6,10,5,2,1,12]
[11,9,10,7,5,6,3,2,4,8,1,12]=>[8,3,6,2,7,5,10,4,11,9,1,12]
[11,8,6,7,4,3,5,2,9,10,1,12]=>[10,5,4,7,3,8,6,11,2,9,1,12]
[11,9,7,5,6,3,2,4,8,10,1,12]=>[10,3,6,2,7,5,9,4,11,8,1,12]
[12,10,11,7,5,6,4,8,2,1,3,9]=>[2,8,1,6,7,5,11,4,3,12,10,9]
[12,10,11,8,6,4,5,7,2,1,3,9]=>[2,7,1,6,4,8,5,11,3,12,10,9]
[12,10,11,7,5,6,3,2,4,1,8,9]=>[4,3,6,2,7,5,11,1,8,12,10,9]
[12,10,11,8,6,4,5,2,1,3,7,9]=>[2,5,1,6,4,8,3,11,7,12,10,9]
[12,8,6,7,4,3,5,2,9,1,10,11]=>[9,5,4,7,3,8,6,12,2,1,10,11]
[12,9,7,5,6,3,2,4,8,1,10,11]=>[8,3,6,2,7,5,9,4,12,1,10,11]
[12,10,8,9,6,4,5,2,1,3,7,11]=>[2,5,1,6,4,9,3,10,8,12,7,11]
[12,10,7,5,6,3,2,4,1,8,9,11]=>[4,3,6,2,7,5,10,1,8,12,9,11]
[12,10,8,6,4,5,2,1,3,7,9,11]=>[2,5,1,6,4,8,3,10,7,12,9,11]
[8,6,5,7,4,9,3,10,2,11,1,12]=>[11,10,9,7,6,8,5,4,3,2,1,12]
[9,7,5,4,6,8,3,10,2,11,1,12]=>[11,10,8,5,7,4,9,6,3,2,1,12]
[10,8,9,7,5,3,4,6,2,11,1,12]=>[11,6,5,3,7,4,9,10,8,2,1,12]
[10,7,5,4,6,3,8,9,2,11,1,12]=>[11,9,6,5,7,4,10,3,8,2,1,12]
[10,8,6,4,3,5,7,9,2,11,1,12]=>[11,9,4,6,3,8,5,10,7,2,1,12]
[10,8,9,7,11,6,4,2,3,5,1,12]=>[5,4,2,6,3,11,9,10,8,7,1,12]
[11,9,7,8,10,6,4,2,3,5,1,12]=>[5,4,2,6,3,10,9,7,11,8,1,12]
[11,9,10,8,5,3,4,2,6,7,1,12]=>[7,4,5,3,8,2,6,10,11,9,1,12]
[11,9,10,8,6,4,2,3,5,7,1,12]=>[7,4,2,6,3,8,5,10,11,9,1,12]
[11,7,5,4,6,3,8,2,9,10,1,12]=>[10,8,6,5,7,4,11,3,2,9,1,12]
[11,8,6,4,3,5,7,2,9,10,1,12]=>[10,7,4,6,3,8,5,11,2,9,1,12]
[11,9,7,8,6,4,2,3,5,10,1,12]=>[10,4,2,6,3,8,9,7,11,5,1,12]
[11,9,6,4,3,5,2,7,8,10,1,12]=>[10,5,4,6,3,9,2,7,11,8,1,12]
[11,9,7,5,3,2,4,6,8,10,1,12]=>[10,3,5,2,7,4,9,6,11,8,1,12]
[10,8,9,7,11,6,12,5,3,1,2,4]=>[3,1,5,2,12,11,9,10,8,7,6,4]
[11,9,7,8,10,6,12,5,3,1,2,4]=>[3,1,5,2,12,10,9,7,11,8,6,4]
[11,9,10,8,6,4,5,7,2,1,3,12]=>[2,7,1,6,4,8,5,10,11,9,3,12]
[12,9,7,8,6,10,11,5,3,1,2,4]=>[3,1,5,2,11,8,9,7,12,6,10,4]
[12,10,8,6,7,9,11,5,3,1,2,4]=>[3,1,5,2,11,8,6,10,7,12,9,4]
[11,9,10,8,12,7,4,2,3,1,5,6]=>[3,4,2,7,1,5,12,10,11,9,8,6]
[12,10,8,9,11,7,4,2,3,1,5,6]=>[3,4,2,7,1,5,11,10,8,12,9,6]
[11,9,10,8,12,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,12,10,11,9,8,6]
[12,10,8,9,11,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,11,10,8,12,9,6]
[12,10,11,9,5,3,4,2,6,1,7,8]=>[6,4,5,3,9,2,1,7,11,12,10,8]
[12,10,11,9,6,4,2,3,5,1,7,8]=>[5,4,2,6,3,9,1,7,11,12,10,8]
[12,10,11,8,6,7,5,3,1,2,4,9]=>[3,1,5,2,7,8,6,11,4,12,10,9]
[12,10,11,9,7,4,2,3,1,5,6,8]=>[3,4,2,7,1,5,9,6,11,12,10,8]
[12,10,11,9,7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,9,6,11,12,10,8]
[12,7,5,4,6,3,8,2,9,1,10,11]=>[9,8,6,5,7,4,12,3,2,1,10,11]
[12,8,6,4,3,5,7,2,9,1,10,11]=>[9,7,4,6,3,8,5,12,2,1,10,11]
[12,9,7,8,6,4,2,3,5,1,10,11]=>[5,4,2,6,3,8,9,7,12,1,10,11]
[12,9,6,4,3,5,2,7,8,1,10,11]=>[8,5,4,6,3,9,2,7,12,1,10,11]
[12,9,7,5,3,2,4,6,8,1,10,11]=>[8,3,5,2,7,4,9,6,12,1,10,11]
[12,9,7,8,6,10,5,3,1,2,4,11]=>[3,1,5,2,10,8,9,7,12,6,4,11]
[12,10,8,6,7,9,5,3,1,2,4,11]=>[3,1,5,2,9,8,6,10,7,12,4,11]
[12,10,8,9,7,4,2,3,1,5,6,11]=>[3,4,2,7,1,5,9,10,8,12,6,11]
[12,10,8,9,7,5,3,1,2,4,6,11]=>[3,1,5,2,7,4,9,10,8,12,6,11]
[12,10,6,4,3,5,2,7,1,8,9,11]=>[7,5,4,6,3,10,2,1,8,12,9,11]
[12,10,7,5,3,2,4,6,1,8,9,11]=>[6,3,5,2,7,4,10,1,8,12,9,11]
[12,10,8,6,7,5,3,1,2,4,9,11]=>[3,1,5,2,7,8,6,10,4,12,9,11]
[12,10,8,5,3,2,4,1,6,7,9,11]=>[4,3,5,2,8,1,6,10,7,12,9,11]
[2,12,11,10,9,8,1,7,6,5,4,3]=>[8,2,4,5,6,7,1,9,10,11,12,3]
[3,12,11,10,9,8,1,7,6,5,4,2]=>[8,4,3,5,6,7,1,9,10,11,12,2]
[4,12,11,10,9,8,1,7,6,5,3,2]=>[8,3,5,4,6,7,1,9,10,11,12,2]
[5,12,11,10,9,8,1,7,6,4,3,2]=>[8,3,4,6,5,7,1,9,10,11,12,2]
[6,12,11,10,9,8,1,7,5,4,3,2]=>[8,3,4,5,7,6,1,9,10,11,12,2]
[1,3,5,7,9,11,12,2,4,6,8,10]=>[1,12,3,2,5,4,7,6,9,8,11,10]
[1,3,5,7,10,11,2,12,4,6,8,9]=>[1,11,3,12,5,4,7,6,8,10,2,9]
[1,3,5,8,9,2,11,12,4,6,7,10]=>[1,9,3,12,5,4,6,8,2,7,11,10]
[1,3,5,8,10,11,2,4,12,6,7,9]=>[1,11,3,2,5,12,6,8,7,10,4,9]
[1,3,5,9,10,2,11,4,12,6,7,8]=>[1,10,3,11,5,12,6,7,9,2,4,8]
[1,3,6,7,2,9,11,12,4,5,8,10]=>[1,7,3,12,4,6,2,5,9,8,11,10]
[1,3,6,7,2,10,11,4,12,5,8,9]=>[1,7,3,11,12,6,2,5,8,10,4,9]
[1,3,6,8,9,2,4,11,12,5,7,10]=>[1,9,3,2,12,6,5,8,4,7,11,10]
[1,3,7,8,2,9,4,11,12,5,6,10]=>[1,8,3,9,12,5,7,2,4,6,11,10]
[1,3,6,8,10,11,2,4,5,12,7,9]=>[1,11,3,2,4,6,12,8,7,10,5,9]
[1,3,6,9,10,2,11,4,5,12,7,8]=>[1,10,3,11,4,6,12,7,9,2,5,8]
[1,3,7,8,2,10,11,4,5,12,6,9]=>[1,8,3,11,4,12,7,2,6,10,5,9]
[1,3,7,9,10,2,4,11,5,12,6,8]=>[1,10,3,2,11,12,7,6,9,4,5,8]
[1,3,8,9,2,10,4,11,5,12,6,7]=>[1,9,3,10,11,12,6,8,2,4,5,7]
[1,4,5,2,7,9,11,12,3,6,8,10]=>[1,5,12,4,2,3,7,6,9,8,11,10]
[1,4,5,2,7,10,11,3,12,6,8,9]=>[1,5,11,4,2,12,7,6,8,10,3,9]
[1,4,5,2,8,9,3,11,12,6,7,10]=>[1,5,9,4,2,12,6,8,3,7,11,10]
[1,4,5,2,8,10,11,3,6,12,7,9]=>[1,5,11,4,2,3,12,8,7,10,6,9]
[1,4,5,2,9,10,3,11,6,12,7,8]=>[1,5,10,4,2,11,12,7,9,3,6,8]
[1,4,6,7,2,3,9,11,12,5,8,10]=>[1,7,2,4,12,6,3,5,9,8,11,10]
[1,4,6,7,2,3,10,11,5,12,8,9]=>[1,7,2,4,11,6,3,12,8,10,5,9]
[1,5,6,2,7,3,9,11,12,4,8,10]=>[1,6,7,12,5,2,3,4,9,8,11,10]
[1,5,6,2,7,3,10,11,4,12,8,9]=>[1,6,7,11,5,2,3,12,8,10,4,9]
[1,4,6,8,9,2,3,5,11,12,7,10]=>[1,9,2,4,3,6,12,8,5,7,11,10]
[1,4,7,8,2,9,3,5,11,12,6,10]=>[1,8,9,4,3,12,7,2,5,6,11,10]
[1,5,6,2,8,9,3,4,11,12,7,10]=>[1,6,9,3,5,2,12,8,4,7,11,10]
[1,5,7,8,2,3,9,4,11,12,6,10]=>[1,8,2,9,5,12,7,3,4,6,11,10]
[1,6,7,2,8,3,9,4,11,12,5,10]=>[1,7,8,9,12,6,2,3,4,5,11,10]
[1,4,6,8,10,11,2,3,5,7,12,9]=>[1,11,2,4,3,6,5,8,12,10,7,9]
[1,4,6,9,10,2,11,3,5,7,12,8]=>[1,10,11,4,3,6,5,12,9,2,7,8]
[1,4,7,8,2,10,11,3,5,6,12,9]=>[1,8,11,4,3,5,7,2,12,10,6,9]
[1,4,7,9,10,2,3,11,5,6,12,8]=>[1,10,2,4,11,5,7,12,9,3,6,8]
[1,4,8,9,2,10,3,11,5,6,12,7]=>[1,9,10,4,11,5,12,8,2,3,6,7]
[1,5,6,2,8,10,11,3,4,7,12,9]=>[1,6,11,3,5,2,4,8,12,10,7,9]
[1,5,6,2,9,10,3,11,4,7,12,8]=>[1,6,10,11,5,2,4,12,9,3,7,8]
[1,5,7,8,2,3,10,11,4,6,12,9]=>[1,8,2,11,5,4,7,3,12,10,6,9]
[1,6,7,2,8,3,10,11,4,5,12,9]=>[1,7,8,11,4,6,2,3,12,10,5,9]
[1,5,7,9,10,2,3,4,11,6,12,8]=>[1,10,2,3,5,11,7,12,9,4,6,8]
[1,5,8,9,2,10,3,4,11,6,12,7]=>[1,9,10,3,5,11,12,8,2,4,6,7]
[1,6,7,2,9,10,3,4,11,5,12,8]=>[1,7,10,3,11,6,2,12,9,4,5,8]
[1,6,8,9,2,3,10,4,11,5,12,7]=>[1,9,2,10,11,6,12,8,3,4,5,7]
[1,7,8,2,9,3,10,4,11,5,12,6]=>[1,8,9,10,11,12,7,2,3,4,5,6]
[2,3,1,5,7,9,11,12,4,6,8,10]=>[3,2,1,12,5,4,7,6,9,8,11,10]
[2,3,1,5,7,10,11,4,12,6,8,9]=>[3,2,1,11,5,12,7,6,8,10,4,9]
[2,3,1,5,8,9,4,11,12,6,7,10]=>[3,2,1,9,5,12,6,8,4,7,11,10]
[2,3,1,5,8,10,11,4,6,12,7,9]=>[3,2,1,11,5,4,12,8,7,10,6,9]
[2,3,1,5,9,10,4,11,6,12,7,8]=>[3,2,1,10,5,11,12,7,9,4,6,8]
[2,3,1,6,7,4,9,11,12,5,8,10]=>[3,2,1,7,12,6,4,5,9,8,11,10]
[2,3,1,6,7,4,10,11,5,12,8,9]=>[3,2,1,7,11,6,4,12,8,10,5,9]
[2,3,1,6,8,9,4,5,11,12,7,10]=>[3,2,1,9,4,6,12,8,5,7,11,10]
[2,3,1,7,8,4,9,5,11,12,6,10]=>[3,2,1,8,9,12,7,4,5,6,11,10]
[2,3,1,6,8,10,11,4,5,7,12,9]=>[3,2,1,11,4,6,5,8,12,10,7,9]
[2,3,1,6,9,10,4,11,5,7,12,8]=>[3,2,1,10,11,6,5,12,9,4,7,8]
[2,3,1,7,8,4,10,11,5,6,12,9]=>[3,2,1,8,11,5,7,4,12,10,6,9]
[2,3,1,7,9,10,4,5,11,6,12,8]=>[3,2,1,10,4,11,7,12,9,5,6,8]
[2,3,1,8,9,4,10,5,11,6,12,7]=>[3,2,1,9,10,11,12,8,4,5,6,7]
[2,4,5,1,3,7,9,11,12,6,8,10]=>[5,2,1,4,3,12,7,6,9,8,11,10]
[2,4,5,1,3,7,10,11,6,12,8,9]=>[5,2,1,4,3,11,7,12,8,10,6,9]
[2,4,5,1,3,8,9,6,11,12,7,10]=>[5,2,1,4,3,9,12,8,6,7,11,10]
[2,4,5,1,3,8,10,11,6,7,12,9]=>[5,2,1,4,3,11,6,8,12,10,7,9]
[2,4,5,1,3,9,10,6,11,7,12,8]=>[5,2,1,4,3,10,11,12,9,6,7,8]
[3,4,1,5,2,7,9,11,12,6,8,10]=>[4,5,3,1,2,12,7,6,9,8,11,10]
[3,4,1,5,2,7,10,11,6,12,8,9]=>[4,5,3,1,2,11,7,12,8,10,6,9]
[3,4,1,5,2,8,9,6,11,12,7,10]=>[4,5,3,1,2,9,12,8,6,7,11,10]
[3,4,1,5,2,8,10,11,6,7,12,9]=>[4,5,3,1,2,11,6,8,12,10,7,9]
[3,4,1,5,2,9,10,6,11,7,12,8]=>[4,5,3,1,2,10,11,12,9,6,7,8]
[2,4,6,7,1,3,5,9,11,12,8,10]=>[7,2,1,4,3,6,5,12,9,8,11,10]
[2,4,6,7,1,3,5,10,11,8,12,9]=>[7,2,1,4,3,6,5,11,12,10,8,9]
[2,5,6,1,7,3,4,9,11,12,8,10]=>[6,2,7,3,5,1,4,12,9,8,11,10]
[2,5,6,1,7,3,4,10,11,8,12,9]=>[6,2,7,3,5,1,4,11,12,10,8,9]
[3,4,1,6,7,2,5,9,11,12,8,10]=>[4,7,3,1,2,6,5,12,9,8,11,10]
[3,4,1,6,7,2,5,10,11,8,12,9]=>[4,7,3,1,2,6,5,11,12,10,8,9]
[3,5,6,1,2,7,4,9,11,12,8,10]=>[6,1,3,7,5,2,4,12,9,8,11,10]
[3,5,6,1,2,7,4,10,11,8,12,9]=>[6,1,3,7,5,2,4,11,12,10,8,9]
[4,5,1,6,2,7,3,9,11,12,8,10]=>[5,6,7,4,1,2,3,12,9,8,11,10]
[4,5,1,6,2,7,3,10,11,8,12,9]=>[5,6,7,4,1,2,3,11,12,10,8,9]
[2,4,6,8,9,1,3,5,7,11,12,10]=>[9,2,1,4,3,6,5,8,7,12,11,10]
[2,4,7,8,1,9,3,5,6,11,12,10]=>[8,2,9,4,3,5,7,1,6,12,11,10]
[2,5,6,1,8,9,3,4,7,11,12,10]=>[6,2,9,3,5,1,4,8,7,12,11,10]
[2,5,7,8,1,3,9,4,6,11,12,10]=>[8,2,1,9,5,4,7,3,6,12,11,10]
[2,6,7,1,8,3,9,4,5,11,12,10]=>[7,2,8,9,4,6,1,3,5,12,11,10]
[3,4,1,6,8,9,2,5,7,11,12,10]=>[4,9,3,1,2,6,5,8,7,12,11,10]
[3,4,1,7,8,2,9,5,6,11,12,10]=>[4,8,3,1,9,5,7,2,6,12,11,10]
[3,5,6,1,2,8,9,4,7,11,12,10]=>[6,1,3,9,5,2,4,8,7,12,11,10]
[4,5,1,6,2,8,9,3,7,11,12,10]=>[5,6,9,4,1,2,3,8,7,12,11,10]
[3,5,7,8,1,2,4,9,6,11,12,10]=>[8,1,3,2,5,9,7,4,6,12,11,10]
[3,6,7,1,8,2,4,9,5,11,12,10]=>[7,8,3,2,9,6,1,4,5,12,11,10]
[4,5,1,7,8,2,3,9,6,11,12,10]=>[5,8,2,4,1,9,7,3,6,12,11,10]
[4,6,7,1,2,8,3,9,5,11,12,10]=>[7,1,8,4,9,6,2,3,5,12,11,10]
[5,6,1,7,2,8,3,9,4,11,12,10]=>[6,7,8,9,5,1,2,3,4,12,11,10]
[2,4,6,8,10,11,1,3,5,7,9,12]=>[11,2,1,4,3,6,5,8,7,10,9,12]
[2,4,6,9,10,1,11,3,5,7,8,12]=>[10,2,11,4,3,6,5,7,9,1,8,12]
[2,4,7,8,1,10,11,3,5,6,9,12]=>[8,2,11,4,3,5,7,1,6,10,9,12]
[2,4,7,9,10,1,3,11,5,6,8,12]=>[10,2,1,4,11,5,7,6,9,3,8,12]
[2,4,8,9,1,10,3,11,5,6,7,12]=>[9,2,10,4,11,5,6,8,1,3,7,12]
[2,5,6,1,8,10,11,3,4,7,9,12]=>[6,2,11,3,5,1,4,8,7,10,9,12]
[2,5,6,1,9,10,3,11,4,7,8,12]=>[6,2,10,11,5,1,4,7,9,3,8,12]
[2,5,7,8,1,3,10,11,4,6,9,12]=>[8,2,1,11,5,4,7,3,6,10,9,12]
[2,6,7,1,8,3,10,11,4,5,9,12]=>[7,2,8,11,4,6,1,3,5,10,9,12]
[2,5,7,9,10,1,3,4,11,6,8,12]=>[10,2,1,3,5,11,7,6,9,4,8,12]
[2,5,8,9,1,10,3,4,11,6,7,12]=>[9,2,10,3,5,11,6,8,1,4,7,12]
[2,6,7,1,9,10,3,4,11,5,8,12]=>[7,2,10,3,11,6,1,5,9,4,8,12]
[2,6,8,9,1,3,10,4,11,5,7,12]=>[9,2,1,10,11,6,5,8,3,4,7,12]
[2,7,8,1,9,3,10,4,11,5,6,12]=>[8,2,9,10,11,5,7,1,3,4,6,12]
[3,4,1,6,8,10,11,2,5,7,9,12]=>[4,11,3,1,2,6,5,8,7,10,9,12]
[3,4,1,6,9,10,2,11,5,7,8,12]=>[4,10,3,1,11,6,5,7,9,2,8,12]
[3,4,1,7,8,2,10,11,5,6,9,12]=>[4,8,3,1,11,5,7,2,6,10,9,12]
[3,4,1,7,9,10,2,5,11,6,8,12]=>[4,10,3,1,2,11,7,6,9,5,8,12]
[3,4,1,8,9,2,10,5,11,6,7,12]=>[4,9,3,1,10,11,6,8,2,5,7,12]
[3,5,6,1,2,8,10,11,4,7,9,12]=>[6,1,3,11,5,2,4,8,7,10,9,12]
[3,5,6,1,2,9,10,4,11,7,8,12]=>[6,1,3,10,5,2,11,7,9,4,8,12]
[4,5,1,6,2,8,10,11,3,7,9,12]=>[5,6,11,4,1,2,3,8,7,10,9,12]
[4,5,1,6,2,9,10,3,11,7,8,12]=>[5,6,10,4,1,2,11,7,9,3,8,12]
[3,5,7,8,1,2,4,10,11,6,9,12]=>[8,1,3,2,5,11,7,4,6,10,9,12]
[3,6,7,1,8,2,4,10,11,5,9,12]=>[7,8,3,2,11,6,1,4,5,10,9,12]
[4,5,1,7,8,2,3,10,11,6,9,12]=>[5,8,2,4,1,11,7,3,6,10,9,12]
[4,6,7,1,2,8,3,10,11,5,9,12]=>[7,1,8,4,11,6,2,3,5,10,9,12]
[5,6,1,7,2,8,3,10,11,4,9,12]=>[6,7,8,11,5,1,2,3,4,10,9,12]
[3,5,7,9,10,1,2,4,6,11,8,12]=>[10,1,3,2,5,4,7,11,9,6,8,12]
[3,5,8,9,1,10,2,4,6,11,7,12]=>[9,10,3,2,5,4,11,8,1,6,7,12]
[3,6,7,1,9,10,2,4,5,11,8,12]=>[7,10,3,2,4,6,1,11,9,5,8,12]
[3,6,8,9,1,2,10,4,5,11,7,12]=>[9,1,3,10,4,6,11,8,2,5,7,12]
[3,7,8,1,9,2,10,4,5,11,6,12]=>[8,9,3,10,4,11,7,1,2,5,6,12]
[4,5,1,7,9,10,2,3,6,11,8,12]=>[5,10,2,4,1,3,7,11,9,6,8,12]
[4,5,1,8,9,2,10,3,6,11,7,12]=>[5,9,10,4,1,3,11,8,2,6,7,12]
[4,6,7,1,2,9,10,3,5,11,8,12]=>[7,1,10,4,3,6,2,11,9,5,8,12]
[5,6,1,7,2,9,10,3,4,11,8,12]=>[6,7,10,3,5,1,2,11,9,4,8,12]
[4,6,8,9,1,2,3,10,5,11,7,12]=>[9,1,2,4,10,6,11,8,3,5,7,12]
[4,7,8,1,9,2,3,10,5,11,6,12]=>[8,9,2,4,10,11,7,1,3,5,6,12]
[5,6,1,8,9,2,3,10,4,11,7,12]=>[6,9,2,10,5,1,11,8,3,4,7,12]
[5,7,8,1,2,9,3,10,4,11,6,12]=>[8,1,9,10,5,11,7,2,3,4,6,12]
[6,7,1,8,2,9,3,10,4,11,5,12]=>[7,8,9,10,11,6,1,2,3,4,5,12]
[8,6,5,7,9,4,10,3,11,2,12,1]=>[12,11,10,9,6,8,5,7,4,3,2,1]
[8,7,9,5,4,6,10,3,11,2,12,1]=>[12,11,10,5,9,4,8,7,6,3,2,1]
[9,6,5,7,4,8,10,3,11,2,12,1]=>[12,11,10,7,6,9,5,4,8,3,2,1]
[9,7,5,4,6,8,10,3,11,2,12,1]=>[12,11,10,5,7,4,9,6,8,3,2,1]
[8,7,9,6,10,4,3,5,11,2,12,1]=>[12,11,4,10,3,9,8,7,6,5,2,1]
[9,7,6,8,10,4,3,5,11,2,12,1]=>[12,11,4,10,3,7,9,6,8,5,2,1]
[9,8,10,5,4,6,3,7,11,2,12,1]=>[12,11,6,5,10,4,3,9,8,7,2,1]
[9,8,10,6,4,3,5,7,11,2,12,1]=>[12,11,4,6,3,10,5,9,8,7,2,1]
[10,6,5,7,4,8,3,9,11,2,12,1]=>[12,11,8,7,6,10,5,4,3,9,2,1]
[10,7,5,4,6,8,3,9,11,2,12,1]=>[12,11,8,5,7,4,10,6,3,9,2,1]
[10,7,6,8,4,3,5,9,11,2,12,1]=>[12,11,4,8,3,7,10,6,5,9,2,1]
[10,8,5,4,6,3,7,9,11,2,12,1]=>[12,11,6,5,8,4,3,10,7,9,2,1]
[10,8,6,4,3,5,7,9,11,2,12,1]=>[12,11,4,6,3,8,5,10,7,9,2,1]
[8,7,9,6,10,5,11,3,2,4,12,1]=>[12,3,11,2,10,9,8,7,6,5,4,1]
[9,7,6,8,10,5,11,3,2,4,12,1]=>[12,3,11,2,10,7,9,6,8,5,4,1]
[9,8,10,6,5,7,11,3,2,4,12,1]=>[12,3,11,2,6,10,5,9,8,7,4,1]
[10,7,6,8,5,9,11,3,2,4,12,1]=>[12,3,11,2,8,7,10,6,5,9,4,1]
[10,8,6,5,7,9,11,3,2,4,12,1]=>[12,3,11,2,6,8,5,10,7,9,4,1]
[9,8,10,7,11,4,3,5,2,6,12,1]=>[12,5,4,11,3,2,10,9,8,7,6,1]
[10,8,7,9,11,4,3,5,2,6,12,1]=>[12,5,4,11,3,2,8,10,7,9,6,1]
[9,8,10,7,11,5,3,2,4,6,12,1]=>[12,3,5,2,11,4,10,9,8,7,6,1]
[10,8,7,9,11,5,3,2,4,6,12,1]=>[12,3,5,2,11,4,8,10,7,9,6,1]
[10,9,11,5,4,6,3,7,2,8,12,1]=>[12,7,6,5,11,4,3,2,10,9,8,1]
[10,9,11,6,4,3,5,7,2,8,12,1]=>[12,7,4,6,3,11,5,2,10,9,8,1]
[10,9,11,6,5,7,3,2,4,8,12,1]=>[12,3,7,2,6,11,5,4,10,9,8,1]
[10,9,11,7,4,3,5,2,6,8,12,1]=>[12,5,4,7,3,2,11,6,10,9,8,1]
[10,9,11,7,5,3,2,4,6,8,12,1]=>[12,3,5,2,7,4,11,6,10,9,8,1]
[11,6,5,7,4,8,3,9,2,10,12,1]=>[12,9,8,7,6,11,5,4,3,2,10,1]
[11,7,5,4,6,8,3,9,2,10,12,1]=>[12,9,8,5,7,4,11,6,3,2,10,1]
[11,7,6,8,4,3,5,9,2,10,12,1]=>[12,9,4,8,3,7,11,6,5,2,10,1]
[11,8,5,4,6,3,7,9,2,10,12,1]=>[12,9,6,5,8,4,3,11,7,2,10,1]
[11,8,6,4,3,5,7,9,2,10,12,1]=>[12,9,4,6,3,8,5,11,7,2,10,1]
[11,7,6,8,5,9,3,2,4,10,12,1]=>[12,3,9,2,8,7,11,6,5,4,10,1]
[11,8,6,5,7,9,3,2,4,10,12,1]=>[12,3,9,2,6,8,5,11,7,4,10,1]
[11,8,7,9,4,3,5,2,6,10,12,1]=>[12,5,4,9,3,2,8,11,7,6,10,1]
[11,8,7,9,5,3,2,4,6,10,12,1]=>[12,3,5,2,9,4,8,11,7,6,10,1]
[11,9,5,4,6,3,7,2,8,10,12,1]=>[12,7,6,5,9,4,3,2,11,8,10,1]
[11,9,6,4,3,5,7,2,8,10,12,1]=>[12,7,4,6,3,9,5,2,11,8,10,1]
[11,9,6,5,7,3,2,4,8,10,12,1]=>[12,3,7,2,6,9,5,4,11,8,10,1]
[11,9,7,4,3,5,2,6,8,10,12,1]=>[12,5,4,7,3,2,9,6,11,8,10,1]
[11,9,7,5,3,2,4,6,8,10,12,1]=>[12,3,5,2,7,4,9,6,11,8,10,1]
[8,7,9,6,10,5,11,4,12,2,1,3]=>[2,12,1,11,10,9,8,7,6,5,4,3]
[9,7,6,8,10,5,11,4,12,2,1,3]=>[2,12,1,11,10,7,9,6,8,5,4,3]
[9,8,10,6,5,7,11,4,12,2,1,3]=>[2,12,1,11,6,10,5,9,8,7,4,3]
[10,7,6,8,5,9,11,4,12,2,1,3]=>[2,12,1,11,8,7,10,6,5,9,4,3]
[10,8,6,5,7,9,11,4,12,2,1,3]=>[2,12,1,11,6,8,5,10,7,9,4,3]
[9,8,10,7,11,5,4,6,12,2,1,3]=>[2,12,1,5,11,4,10,9,8,7,6,3]
[10,8,7,9,11,5,4,6,12,2,1,3]=>[2,12,1,5,11,4,8,10,7,9,6,3]
[10,9,11,6,5,7,4,8,12,2,1,3]=>[2,12,1,7,6,11,5,4,10,9,8,3]
[10,9,11,7,5,4,6,8,12,2,1,3]=>[2,12,1,5,7,4,11,6,10,9,8,3]
[11,7,6,8,5,9,4,10,12,2,1,3]=>[2,12,1,9,8,7,11,6,5,4,10,3]
[11,8,6,5,7,9,4,10,12,2,1,3]=>[2,12,1,9,6,8,5,11,7,4,10,3]
[11,8,7,9,5,4,6,10,12,2,1,3]=>[2,12,1,5,9,4,8,11,7,6,10,3]
[11,9,6,5,7,4,8,10,12,2,1,3]=>[2,12,1,7,6,9,5,4,11,8,10,3]
[11,9,7,5,4,6,8,10,12,2,1,3]=>[2,12,1,5,7,4,9,6,11,8,10,3]
[9,8,10,7,11,6,12,3,2,4,1,5]=>[4,3,12,2,1,11,10,9,8,7,6,5]
[10,8,7,9,11,6,12,3,2,4,1,5]=>[4,3,12,2,1,11,8,10,7,9,6,5]
[10,9,11,7,6,8,12,3,2,4,1,5]=>[4,3,12,2,1,7,11,6,10,9,8,5]
[11,8,7,9,6,10,12,3,2,4,1,5]=>[4,3,12,2,1,9,8,11,7,6,10,5]
[11,9,7,6,8,10,12,3,2,4,1,5]=>[4,3,12,2,1,7,9,6,11,8,10,5]
[9,8,10,7,11,6,12,4,2,1,3,5]=>[2,4,1,12,3,11,10,9,8,7,6,5]
[10,8,7,9,11,6,12,4,2,1,3,5]=>[2,4,1,12,3,11,8,10,7,9,6,5]
[10,9,11,7,6,8,12,4,2,1,3,5]=>[2,4,1,12,3,7,11,6,10,9,8,5]
[11,8,7,9,6,10,12,4,2,1,3,5]=>[2,4,1,12,3,9,8,11,7,6,10,5]
[11,9,7,6,8,10,12,4,2,1,3,5]=>[2,4,1,12,3,7,9,6,11,8,10,5]
[10,9,11,8,12,4,3,5,2,6,1,7]=>[6,5,4,12,3,2,1,11,10,9,8,7]
[11,9,8,10,12,4,3,5,2,6,1,7]=>[6,5,4,12,3,2,1,9,11,8,10,7]
[10,9,11,8,12,5,3,2,4,6,1,7]=>[6,3,5,2,12,4,1,11,10,9,8,7]
[11,9,8,10,12,5,3,2,4,6,1,7]=>[6,3,5,2,12,4,1,9,11,8,10,7]
[10,9,11,8,12,5,4,6,2,1,3,7]=>[2,6,1,5,12,4,3,11,10,9,8,7]
[11,9,8,10,12,5,4,6,2,1,3,7]=>[2,6,1,5,12,4,3,9,11,8,10,7]
[10,9,11,8,12,6,3,2,4,1,5,7]=>[4,3,6,2,1,12,5,11,10,9,8,7]
[11,9,8,10,12,6,3,2,4,1,5,7]=>[4,3,6,2,1,12,5,9,11,8,10,7]
[10,9,11,8,12,6,4,2,1,3,5,7]=>[2,4,1,6,3,12,5,11,10,9,8,7]
[11,9,8,10,12,6,4,2,1,3,5,7]=>[2,4,1,6,3,12,5,9,11,8,10,7]
[11,10,12,5,4,6,3,7,2,8,1,9]=>[8,7,6,5,12,4,3,2,1,11,10,9]
[11,10,12,6,4,3,5,7,2,8,1,9]=>[8,7,4,6,3,12,5,2,1,11,10,9]
[11,10,12,6,5,7,3,2,4,8,1,9]=>[8,3,7,2,6,12,5,4,1,11,10,9]
[11,10,12,7,4,3,5,2,6,8,1,9]=>[8,5,4,7,3,2,12,6,1,11,10,9]
[11,10,12,7,5,3,2,4,6,8,1,9]=>[8,3,5,2,7,4,12,6,1,11,10,9]
[11,10,12,6,5,7,4,8,2,1,3,9]=>[2,8,1,7,6,12,5,4,3,11,10,9]
[11,10,12,7,5,4,6,8,2,1,3,9]=>[2,8,1,5,7,4,12,6,3,11,10,9]
[11,10,12,7,6,8,3,2,4,1,5,9]=>[4,3,8,2,1,7,12,6,5,11,10,9]
[11,10,12,7,6,8,4,2,1,3,5,9]=>[2,4,1,8,3,7,12,6,5,11,10,9]
[11,10,12,8,4,3,5,2,6,1,7,9]=>[6,5,4,8,3,2,1,12,7,11,10,9]
[11,10,12,8,5,3,2,4,6,1,7,9]=>[6,3,5,2,8,4,1,12,7,11,10,9]
[11,10,12,8,5,4,6,2,1,3,7,9]=>[2,6,1,5,8,4,3,12,7,11,10,9]
[11,10,12,8,6,3,2,4,1,5,7,9]=>[4,3,6,2,1,8,5,12,7,11,10,9]
[11,10,12,8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,12,7,11,10,9]
[12,6,5,7,4,8,3,9,2,10,1,11]=>[10,9,8,7,6,12,5,4,3,2,1,11]
[12,7,5,4,6,8,3,9,2,10,1,11]=>[10,9,8,5,7,4,12,6,3,2,1,11]
[12,7,6,8,4,3,5,9,2,10,1,11]=>[10,9,4,8,3,7,12,6,5,2,1,11]
[12,8,5,4,6,3,7,9,2,10,1,11]=>[10,9,6,5,8,4,3,12,7,2,1,11]
[12,8,6,4,3,5,7,9,2,10,1,11]=>[10,9,4,6,3,8,5,12,7,2,1,11]
[12,7,6,8,5,9,3,2,4,10,1,11]=>[10,3,9,2,8,7,12,6,5,4,1,11]
[12,8,6,5,7,9,3,2,4,10,1,11]=>[10,3,9,2,6,8,5,12,7,4,1,11]
[12,8,7,9,4,3,5,2,6,10,1,11]=>[10,5,4,9,3,2,8,12,7,6,1,11]
[12,8,7,9,5,3,2,4,6,10,1,11]=>[10,3,5,2,9,4,8,12,7,6,1,11]
[12,9,5,4,6,3,7,2,8,10,1,11]=>[10,7,6,5,9,4,3,2,12,8,1,11]
[12,9,6,4,3,5,7,2,8,10,1,11]=>[10,7,4,6,3,9,5,2,12,8,1,11]
[12,9,6,5,7,3,2,4,8,10,1,11]=>[10,3,7,2,6,9,5,4,12,8,1,11]
[12,9,7,4,3,5,2,6,8,10,1,11]=>[10,5,4,7,3,2,9,6,12,8,1,11]
[12,9,7,5,3,2,4,6,8,10,1,11]=>[10,3,5,2,7,4,9,6,12,8,1,11]
[12,7,6,8,5,9,4,10,2,1,3,11]=>[2,10,1,9,8,7,12,6,5,4,3,11]
[12,8,6,5,7,9,4,10,2,1,3,11]=>[2,10,1,9,6,8,5,12,7,4,3,11]
[12,8,7,9,5,4,6,10,2,1,3,11]=>[2,10,1,5,9,4,8,12,7,6,3,11]
[12,9,6,5,7,4,8,10,2,1,3,11]=>[2,10,1,7,6,9,5,4,12,8,3,11]
[12,9,7,5,4,6,8,10,2,1,3,11]=>[2,10,1,5,7,4,9,6,12,8,3,11]
[12,8,7,9,6,10,3,2,4,1,5,11]=>[4,3,10,2,1,9,8,12,7,6,5,11]
[12,9,7,6,8,10,3,2,4,1,5,11]=>[4,3,10,2,1,7,9,6,12,8,5,11]
[12,8,7,9,6,10,4,2,1,3,5,11]=>[2,4,1,10,3,9,8,12,7,6,5,11]
[12,9,7,6,8,10,4,2,1,3,5,11]=>[2,4,1,10,3,7,9,6,12,8,5,11]
[12,9,8,10,4,3,5,2,6,1,7,11]=>[6,5,4,10,3,2,1,9,12,8,7,11]
[12,9,8,10,5,3,2,4,6,1,7,11]=>[6,3,5,2,10,4,1,9,12,8,7,11]
[12,9,8,10,5,4,6,2,1,3,7,11]=>[2,6,1,5,10,4,3,9,12,8,7,11]
[12,9,8,10,6,3,2,4,1,5,7,11]=>[4,3,6,2,1,10,5,9,12,8,7,11]
[12,9,8,10,6,4,2,1,3,5,7,11]=>[2,4,1,6,3,10,5,9,12,8,7,11]
[12,10,5,4,6,3,7,2,8,1,9,11]=>[8,7,6,5,10,4,3,2,1,12,9,11]
[12,10,6,4,3,5,7,2,8,1,9,11]=>[8,7,4,6,3,10,5,2,1,12,9,11]
[12,10,6,5,7,3,2,4,8,1,9,11]=>[8,3,7,2,6,10,5,4,1,12,9,11]
[12,10,7,4,3,5,2,6,8,1,9,11]=>[8,5,4,7,3,2,10,6,1,12,9,11]
[12,10,7,5,3,2,4,6,8,1,9,11]=>[8,3,5,2,7,4,10,6,1,12,9,11]
[12,10,6,5,7,4,8,2,1,3,9,11]=>[2,8,1,7,6,10,5,4,3,12,9,11]
[12,10,7,5,4,6,8,2,1,3,9,11]=>[2,8,1,5,7,4,10,6,3,12,9,11]
[12,10,7,6,8,3,2,4,1,5,9,11]=>[4,3,8,2,1,7,10,6,5,12,9,11]
[12,10,7,6,8,4,2,1,3,5,9,11]=>[2,4,1,8,3,7,10,6,5,12,9,11]
[12,10,8,4,3,5,2,6,1,7,9,11]=>[6,5,4,8,3,2,1,10,7,12,9,11]
[12,10,8,5,3,2,4,6,1,7,9,11]=>[6,3,5,2,8,4,1,10,7,12,9,11]
[12,10,8,5,4,6,2,1,3,7,9,11]=>[2,6,1,5,8,4,3,10,7,12,9,11]
[12,10,8,6,3,2,4,1,5,7,9,11]=>[4,3,6,2,1,8,5,10,7,12,9,11]
[11,12,8,2,1,6,4,3,5,7,9,10]=>[2,8,4,6,3,1,5,12,7,9,11,10]
[12,2,9,1,10,6,4,3,5,7,8,11]=>[9,12,4,6,3,10,5,7,2,1,8,11]
[11,12,2,1,9,6,4,3,5,7,8,10]=>[2,12,4,6,3,9,5,7,1,8,11,10]
[10,2,4,1,11,3,12,6,5,7,8,9]=>[4,10,11,2,6,12,5,7,8,1,3,9]
[7,12,10,2,1,8,4,3,5,6,9,11]=>[2,10,4,8,3,5,7,1,6,12,9,11]
[2,11,7,1,12,8,4,3,5,6,9,10]=>[7,2,4,11,1,5,8,12,6,9,3,10]
[9,12,2,1,10,7,4,3,5,6,8,11]=>[2,12,4,7,3,5,10,6,9,1,8,11]
[2,11,1,12,9,7,4,3,5,6,8,10]=>[11,2,4,7,3,5,9,6,12,8,1,10]
[10,11,2,1,4,3,12,7,5,6,8,9]=>[2,11,4,1,7,5,12,6,8,10,3,9]
[8,12,2,1,9,4,3,10,5,6,7,11]=>[2,12,4,9,10,5,6,8,1,3,7,11]
[2,11,1,12,8,4,3,9,5,6,7,10]=>[11,2,4,8,12,3,6,9,5,7,1,10]
[2,10,1,11,4,3,12,8,5,6,7,9]=>[10,2,4,11,8,5,6,12,7,1,3,9]
[2,9,1,10,4,3,11,5,12,6,7,8]=>[9,2,4,10,11,12,6,7,1,3,5,8]
[12,10,8,5,2,1,6,3,4,7,9,11]=>[2,5,8,1,6,3,4,10,7,12,9,11]
[5,11,2,1,12,8,6,3,4,7,9,10]=>[2,11,6,3,5,8,4,12,7,9,1,10]
[12,9,5,2,1,10,6,3,4,7,8,11]=>[2,5,9,3,6,12,4,7,10,1,8,11]
[11,5,2,1,12,9,6,3,4,7,8,10]=>[2,5,11,1,6,9,4,7,12,8,3,10]
[10,11,2,1,5,3,12,6,4,7,8,9]=>[2,11,5,6,1,12,4,7,8,10,3,9]
[12,10,7,2,1,8,5,3,4,6,9,11]=>[2,7,5,1,10,4,8,3,6,12,9,11]
[11,7,2,1,12,8,5,3,4,6,9,10]=>[2,7,5,1,11,4,8,12,6,9,3,10]
[12,9,2,1,10,7,5,3,4,6,8,11]=>[2,9,5,1,7,4,12,6,10,3,8,11]
[11,2,1,12,9,7,5,3,4,6,8,10]=>[2,11,5,3,7,4,9,6,12,8,1,10]
[10,11,2,1,3,12,7,5,4,6,8,9]=>[2,11,1,5,7,4,12,6,8,10,3,9]
[8,9,2,1,12,3,10,5,4,6,7,11]=>[2,9,12,5,10,4,6,8,1,3,7,11]
[11,8,2,1,12,3,9,5,4,6,7,10]=>[2,8,11,5,12,1,6,9,4,7,3,10]
[2,10,1,11,3,12,8,5,4,6,7,9]=>[10,2,11,5,8,4,6,12,7,1,3,9]
[2,9,1,10,3,11,5,4,12,6,7,8]=>[9,2,10,5,11,12,6,7,1,3,4,8]
[12,10,6,2,1,7,3,8,4,5,9,11]=>[2,6,10,7,1,8,3,4,5,12,9,11]
[11,6,2,1,12,7,3,8,4,5,9,10]=>[2,6,11,7,4,12,8,1,5,9,3,10]
[12,9,2,1,10,6,3,7,4,5,8,11]=>[2,9,6,12,3,7,1,5,10,4,8,11]
[11,2,1,12,9,6,3,7,4,5,8,10]=>[2,11,6,9,3,7,4,5,12,8,1,10]
[10,2,1,11,6,3,12,7,4,5,8,9]=>[2,10,6,11,3,7,12,5,8,1,4,9]
[12,8,2,1,9,3,10,6,4,5,7,11]=>[2,8,12,6,1,9,5,10,3,4,7,11]
[11,2,1,12,8,3,9,6,4,5,7,10]=>[2,11,8,6,3,12,5,9,4,7,1,10]
[10,2,1,11,3,12,8,6,4,5,7,9]=>[2,10,11,6,4,8,5,12,7,1,3,9]
[2,9,1,10,3,11,4,12,6,5,7,8]=>[9,2,10,11,6,12,5,7,1,3,4,8]
[12,7,2,1,8,3,9,4,10,5,6,11]=>[2,7,12,8,9,1,10,3,4,5,6,11]
[11,2,1,12,7,3,8,4,9,5,6,10]=>[2,11,7,12,8,3,9,4,5,6,1,10]
[10,2,1,11,3,12,7,4,8,5,6,9]=>[2,10,11,7,12,4,8,5,6,1,3,9]
[9,2,1,10,3,11,4,12,7,5,6,8]=>[2,9,10,11,7,5,12,6,1,3,4,8]
[8,2,1,9,3,10,4,11,5,12,6,7]=>[2,8,9,10,11,12,6,1,3,4,5,7]
[12,10,8,6,3,1,4,2,5,7,9,11]=>[3,6,4,2,1,8,5,10,7,12,9,11]
[11,12,3,1,8,6,4,2,5,7,9,10]=>[3,12,4,6,1,8,5,2,7,9,11,10]
[9,12,3,1,10,6,4,2,5,7,8,11]=>[3,12,4,6,1,10,5,7,9,2,8,11]
[3,11,1,12,9,6,4,2,5,7,8,10]=>[11,4,3,6,2,9,5,7,12,8,1,10]
[3,10,4,1,11,2,12,6,5,7,8,9]=>[4,10,3,11,6,12,5,7,8,2,1,9]
[12,10,7,3,1,8,4,2,5,6,9,11]=>[3,7,4,10,2,5,8,1,6,12,9,11]
[11,7,3,1,12,8,4,2,5,6,9,10]=>[3,7,4,11,2,5,8,12,6,9,1,10]
[12,9,3,1,10,7,4,2,5,6,8,11]=>[3,9,4,7,2,5,12,6,10,1,8,11]
[11,3,1,12,9,7,4,2,5,6,8,10]=>[3,11,4,7,1,5,9,6,12,8,2,10]
[3,10,1,11,4,2,12,7,5,6,8,9]=>[10,4,3,11,7,5,12,6,8,1,2,9]
[12,8,3,1,9,4,2,10,5,6,7,11]=>[3,8,4,12,9,2,6,10,1,5,7,11]
[11,3,1,12,8,4,2,9,5,6,7,10]=>[3,11,4,8,12,1,6,9,5,7,2,10]
[10,3,1,11,4,2,12,8,5,6,7,9]=>[3,10,4,11,8,5,6,12,7,2,1,9]
[9,3,1,10,4,2,11,5,12,6,7,8]=>[3,9,4,10,11,12,6,7,2,1,5,8]
[12,10,8,5,1,6,3,2,4,7,9,11]=>[5,3,8,1,6,2,4,10,7,12,9,11]
[5,11,1,12,8,6,3,2,4,7,9,10]=>[11,3,6,2,5,8,4,12,7,9,1,10]
[12,9,5,1,10,6,3,2,4,7,8,11]=>[5,3,9,2,6,12,4,7,10,1,8,11]
[11,5,1,12,9,6,3,2,4,7,8,10]=>[5,3,11,1,6,9,4,7,12,8,2,10]
[3,10,1,11,5,2,12,6,4,7,8,9]=>[10,5,3,11,6,12,2,7,8,1,4,9]
[12,10,7,1,8,5,3,2,4,6,9,11]=>[7,3,5,1,10,4,8,2,6,12,9,11]
[11,7,1,12,8,5,3,2,4,6,9,10]=>[7,3,5,1,11,4,8,12,6,9,2,10]
[12,9,1,10,7,5,3,2,4,6,8,11]=>[9,3,5,1,7,4,12,6,10,2,8,11]
[11,1,12,9,7,5,3,2,4,6,8,10]=>[11,3,5,2,7,4,9,6,12,8,1,10]
[3,10,1,11,2,12,7,5,4,6,8,9]=>[10,11,3,5,7,4,12,6,8,1,2,9]
[8,9,1,12,3,2,10,5,4,6,7,11]=>[9,3,12,5,10,4,6,8,1,2,7,11]
[11,8,1,12,3,2,9,5,4,6,7,10]=>[8,3,11,5,12,1,6,9,4,7,2,10]
[10,3,1,11,2,12,8,5,4,6,7,9]=>[3,10,11,5,8,4,6,12,7,2,1,9]
[9,3,1,10,2,11,5,4,12,6,7,8]=>[3,9,10,5,11,12,6,7,2,1,4,8]
[12,10,6,1,7,3,2,8,4,5,9,11]=>[6,3,10,7,1,8,2,4,5,12,9,11]
[11,6,1,12,7,3,2,8,4,5,9,10]=>[6,3,11,7,4,12,8,1,5,9,2,10]
[12,9,1,10,6,3,2,7,4,5,8,11]=>[9,3,6,12,2,7,1,5,10,4,8,11]
[11,1,12,9,6,3,2,7,4,5,8,10]=>[11,3,6,9,2,7,4,5,12,8,1,10]
[10,1,11,6,3,2,12,7,4,5,8,9]=>[10,3,6,11,2,7,12,5,8,1,4,9]
[12,8,1,9,3,2,10,6,4,5,7,11]=>[8,3,12,6,1,9,5,10,2,4,7,11]
[11,1,12,8,3,2,9,6,4,5,7,10]=>[11,3,8,6,2,12,5,9,4,7,1,10]
[10,1,11,3,2,12,8,6,4,5,7,9]=>[10,3,11,6,4,8,5,12,7,1,2,9]
[9,3,1,10,2,11,4,12,6,5,7,8]=>[3,9,10,11,6,12,5,7,2,1,4,8]
[12,7,1,8,3,2,9,4,10,5,6,11]=>[7,3,12,8,9,1,10,2,4,5,6,11]
[11,1,12,7,3,2,8,4,9,5,6,10]=>[11,3,7,12,8,2,9,4,5,6,1,10]
[10,1,11,3,2,12,7,4,8,5,6,9]=>[10,3,11,7,12,4,8,5,6,1,2,9]
[9,1,10,3,2,11,4,12,7,5,6,8]=>[9,3,10,11,7,5,12,6,1,2,4,8]
[8,1,9,3,2,10,4,11,5,12,6,7]=>[8,3,9,10,11,12,6,1,2,4,5,7]
[12,10,8,4,1,5,2,6,3,7,9,11]=>[4,8,5,6,2,3,1,10,7,12,9,11]
[4,11,1,12,8,5,2,6,3,7,9,10]=>[11,5,8,4,6,3,2,12,7,9,1,10]
[12,9,4,1,10,5,2,6,3,7,8,11]=>[4,9,5,12,6,2,3,7,10,1,8,11]
[11,4,1,12,9,5,2,6,3,7,8,10]=>[4,11,5,9,6,1,3,7,12,8,2,10]
[10,4,1,11,5,2,12,6,3,7,8,9]=>[4,10,5,11,6,12,3,7,8,2,1,9]
[12,10,7,1,8,4,2,5,3,6,9,11]=>[7,4,10,5,1,2,8,3,6,12,9,11]
[11,7,1,12,8,4,2,5,3,6,9,10]=>[7,4,11,5,1,2,8,12,6,9,3,10]
[12,9,1,10,7,4,2,5,3,6,8,11]=>[9,4,7,5,1,2,12,6,10,3,8,11]
[11,1,12,9,7,4,2,5,3,6,8,10]=>[11,4,7,5,3,2,9,6,12,8,1,10]
[10,4,1,11,2,12,7,5,3,6,8,9]=>[4,10,11,5,7,1,12,6,8,2,3,9]
[12,8,1,9,4,2,10,5,3,6,7,11]=>[8,4,12,5,9,1,6,10,3,2,7,11]
[11,1,12,8,4,2,9,5,3,6,7,10]=>[11,4,8,5,12,3,6,9,2,7,1,10]
[10,1,11,4,2,12,8,5,3,6,7,9]=>[10,4,11,5,8,2,6,12,7,1,3,9]
[9,1,10,4,2,11,5,3,12,6,7,8]=>[9,4,10,5,11,12,6,7,1,3,2,8]
[12,10,6,1,7,2,8,4,3,5,9,11]=>[6,10,4,7,1,8,2,3,5,12,9,11]
[11,6,1,12,7,2,8,4,3,5,9,10]=>[6,11,4,7,3,12,8,1,5,9,2,10]
[12,9,1,10,6,2,7,4,3,5,8,11]=>[9,6,4,12,2,7,1,5,10,3,8,11]
[11,1,12,9,6,2,7,4,3,5,8,10]=>[11,6,4,9,2,7,3,5,12,8,1,10]
[10,1,11,6,2,12,7,4,3,5,8,9]=>[10,6,4,11,2,7,12,5,8,1,3,9]
[12,8,1,9,2,10,6,4,3,5,7,11]=>[8,12,4,6,1,9,5,10,2,3,7,11]
[11,1,12,8,2,9,6,4,3,5,7,10]=>[11,8,4,6,2,12,5,9,3,7,1,10]
[10,1,11,2,12,8,6,4,3,5,7,9]=>[10,11,4,6,3,8,5,12,7,1,2,9]
[9,1,10,4,2,11,3,12,6,5,7,8]=>[9,4,10,11,6,12,5,7,1,3,2,8]
[12,7,1,8,2,9,4,3,10,5,6,11]=>[7,12,4,8,9,1,10,2,3,5,6,11]
[11,1,12,7,2,8,4,3,9,5,6,10]=>[11,7,4,12,8,2,9,3,5,6,1,10]
[10,1,11,2,12,7,4,3,8,5,6,9]=>[10,11,4,7,12,3,8,5,6,1,2,9]
[9,1,10,2,11,4,3,12,7,5,6,8]=>[9,10,4,11,7,5,12,6,1,2,3,8]
[8,1,9,2,10,4,3,11,5,12,6,7]=>[8,9,4,10,11,12,6,1,2,3,5,7]
[12,10,5,1,6,2,7,3,8,4,9,11]=>[5,10,6,7,8,2,3,4,1,12,9,11]
[11,5,1,12,6,2,7,3,8,4,9,10]=>[5,11,6,12,7,8,4,1,3,9,2,10]
[12,9,1,10,5,2,6,3,7,4,8,11]=>[9,5,12,6,7,1,4,2,10,3,8,11]
[11,1,12,9,5,2,6,3,7,4,8,10]=>[11,5,9,6,7,3,4,2,12,8,1,10]
[10,1,11,5,2,12,6,3,7,4,8,9]=>[10,5,11,6,12,7,2,4,8,1,3,9]
[12,8,1,9,2,10,5,3,6,4,7,11]=>[8,12,5,9,6,1,3,10,2,4,7,11]
[11,1,12,8,2,9,5,3,6,4,7,10]=>[11,8,5,12,6,2,3,9,4,7,1,10]
[10,1,11,2,12,8,5,3,6,4,7,9]=>[10,11,5,8,6,4,3,12,7,1,2,9]
[9,1,10,2,11,5,3,12,6,4,7,8]=>[9,10,5,11,6,12,3,7,1,2,4,8]
[12,7,1,8,2,9,3,10,5,4,6,11]=>[7,12,8,5,9,1,10,2,3,4,6,11]
[11,1,12,7,2,8,3,9,5,4,6,10]=>[11,7,12,5,8,2,9,3,4,6,1,10]
[10,1,11,2,12,7,3,8,5,4,6,9]=>[10,11,7,5,12,3,8,4,6,1,2,9]
[9,1,10,2,11,3,12,7,5,4,6,8]=>[9,10,11,5,7,4,12,6,1,2,3,8]
[8,1,9,2,10,3,11,5,4,12,6,7]=>[8,9,10,5,11,12,6,1,2,3,4,7]
[12,6,1,7,2,8,3,9,4,10,5,11]=>[6,12,7,8,9,10,2,3,4,5,1,11]
[11,1,12,6,2,7,3,8,4,9,5,10]=>[11,6,12,7,8,9,3,4,5,2,1,10]
[10,1,11,2,12,6,3,7,4,8,5,9]=>[10,11,6,12,7,8,4,5,3,1,2,9]
[9,1,10,2,11,3,12,6,4,7,5,8]=>[9,10,11,6,12,7,5,4,1,2,3,8]
[8,1,9,2,10,3,11,4,12,6,5,7]=>[8,9,10,11,6,12,5,1,2,3,4,7]
[3,12,1,2,4,5,6,7,8,9,10,11]=>[12,1,3,2,4,5,6,7,8,9,10,11]
[1,3,5,7,9,11,12,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,12,11,2]
[1,3,5,7,10,11,9,12,8,6,4,2]=>[1,4,3,6,5,8,7,12,11,10,9,2]
[1,3,5,8,9,7,11,12,10,6,4,2]=>[1,4,3,6,5,10,9,8,7,12,11,2]
[1,3,5,8,10,11,9,7,12,6,4,2]=>[1,4,3,6,5,12,9,8,11,10,7,2]
[1,3,5,9,10,8,11,7,12,6,4,2]=>[1,4,3,6,5,12,11,10,9,8,7,2]
[1,3,6,7,5,9,11,12,10,8,4,2]=>[1,4,3,8,7,6,5,10,9,12,11,2]
[1,3,6,7,5,10,11,9,12,8,4,2]=>[1,4,3,8,7,6,5,12,11,10,9,2]
[1,3,6,8,9,7,5,11,12,10,4,2]=>[1,4,3,10,7,6,9,8,5,12,11,2]
[1,3,7,8,6,9,5,11,12,10,4,2]=>[1,4,3,10,9,8,7,6,5,12,11,2]
[1,3,6,8,10,11,9,7,5,12,4,2]=>[1,4,3,12,7,6,9,8,11,10,5,2]
[1,3,6,9,10,8,11,7,5,12,4,2]=>[1,4,3,12,7,6,11,10,9,8,5,2]
[1,3,7,8,6,10,11,9,5,12,4,2]=>[1,4,3,12,9,8,7,6,11,10,5,2]
[1,3,7,9,10,8,6,11,5,12,4,2]=>[1,4,3,12,11,8,7,10,9,6,5,2]
[1,3,8,9,7,10,6,11,5,12,4,2]=>[1,4,3,12,11,10,9,8,7,6,5,2]
[1,4,5,3,7,9,11,12,10,8,6,2]=>[1,6,5,4,3,8,7,10,9,12,11,2]
[1,4,5,3,7,10,11,9,12,8,6,2]=>[1,6,5,4,3,8,7,12,11,10,9,2]
[1,4,5,3,8,9,7,11,12,10,6,2]=>[1,6,5,4,3,10,9,8,7,12,11,2]
[1,4,5,3,8,10,11,9,7,12,6,2]=>[1,6,5,4,3,12,9,8,11,10,7,2]
[1,4,5,3,9,10,8,11,7,12,6,2]=>[1,6,5,4,3,12,11,10,9,8,7,2]
[1,4,6,7,5,3,9,11,12,10,8,2]=>[1,8,5,4,7,6,3,10,9,12,11,2]
[1,4,6,7,5,3,10,11,9,12,8,2]=>[1,8,5,4,7,6,3,12,11,10,9,2]
[1,5,6,4,7,3,9,11,12,10,8,2]=>[1,8,7,6,5,4,3,10,9,12,11,2]
[1,5,6,4,7,3,10,11,9,12,8,2]=>[1,8,7,6,5,4,3,12,11,10,9,2]
[1,4,6,8,9,7,5,3,11,12,10,2]=>[1,10,5,4,7,6,9,8,3,12,11,2]
[1,4,7,8,6,9,5,3,11,12,10,2]=>[1,10,5,4,9,8,7,6,3,12,11,2]
[1,5,6,4,8,9,7,3,11,12,10,2]=>[1,10,7,6,5,4,9,8,3,12,11,2]
[1,5,7,8,6,4,9,3,11,12,10,2]=>[1,10,9,6,5,8,7,4,3,12,11,2]
[1,6,7,5,8,4,9,3,11,12,10,2]=>[1,10,9,8,7,6,5,4,3,12,11,2]
[1,4,6,8,10,11,9,7,5,3,12,2]=>[1,12,5,4,7,6,9,8,11,10,3,2]
[1,4,6,9,10,8,11,7,5,3,12,2]=>[1,12,5,4,7,6,11,10,9,8,3,2]
[1,4,7,8,6,10,11,9,5,3,12,2]=>[1,12,5,4,9,8,7,6,11,10,3,2]
[1,4,7,9,10,8,6,11,5,3,12,2]=>[1,12,5,4,11,8,7,10,9,6,3,2]
[1,4,8,9,7,10,6,11,5,3,12,2]=>[1,12,5,4,11,10,9,8,7,6,3,2]
[1,5,6,4,8,10,11,9,7,3,12,2]=>[1,12,7,6,5,4,9,8,11,10,3,2]
[1,5,6,4,9,10,8,11,7,3,12,2]=>[1,12,7,6,5,4,11,10,9,8,3,2]
[1,5,7,8,6,4,10,11,9,3,12,2]=>[1,12,9,6,5,8,7,4,11,10,3,2]
[1,6,7,5,8,4,10,11,9,3,12,2]=>[1,12,9,8,7,6,5,4,11,10,3,2]
[1,5,7,9,10,8,6,4,11,3,12,2]=>[1,12,11,6,5,8,7,10,9,4,3,2]
[1,5,8,9,7,10,6,4,11,3,12,2]=>[1,12,11,6,5,10,9,8,7,4,3,2]
[1,6,7,5,9,10,8,4,11,3,12,2]=>[1,12,11,8,7,6,5,10,9,4,3,2]
[1,6,8,9,7,5,10,4,11,3,12,2]=>[1,12,11,10,7,6,9,8,5,4,3,2]
[1,7,8,6,9,5,10,4,11,3,12,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]
[2,3,1,5,7,9,11,12,10,8,6,4]=>[3,2,1,6,5,8,7,10,9,12,11,4]
[2,3,1,5,7,10,11,9,12,8,6,4]=>[3,2,1,6,5,8,7,12,11,10,9,4]
[2,3,1,5,8,9,7,11,12,10,6,4]=>[3,2,1,6,5,10,9,8,7,12,11,4]
[2,3,1,5,8,10,11,9,7,12,6,4]=>[3,2,1,6,5,12,9,8,11,10,7,4]
[2,3,1,5,9,10,8,11,7,12,6,4]=>[3,2,1,6,5,12,11,10,9,8,7,4]
[2,3,1,6,7,5,9,11,12,10,8,4]=>[3,2,1,8,7,6,5,10,9,12,11,4]
[2,3,1,6,7,5,10,11,9,12,8,4]=>[3,2,1,8,7,6,5,12,11,10,9,4]
[2,3,1,6,8,9,7,5,11,12,10,4]=>[3,2,1,10,7,6,9,8,5,12,11,4]
[2,3,1,7,8,6,9,5,11,12,10,4]=>[3,2,1,10,9,8,7,6,5,12,11,4]
[2,3,1,6,8,10,11,9,7,5,12,4]=>[3,2,1,12,7,6,9,8,11,10,5,4]
[2,3,1,6,9,10,8,11,7,5,12,4]=>[3,2,1,12,7,6,11,10,9,8,5,4]
[2,3,1,7,8,6,10,11,9,5,12,4]=>[3,2,1,12,9,8,7,6,11,10,5,4]
[2,3,1,7,9,10,8,6,11,5,12,4]=>[3,2,1,12,11,8,7,10,9,6,5,4]
[2,3,1,8,9,7,10,6,11,5,12,4]=>[3,2,1,12,11,10,9,8,7,6,5,4]
[2,4,5,3,1,7,9,11,12,10,8,6]=>[3,2,5,4,1,8,7,10,9,12,11,6]
[2,4,5,3,1,7,10,11,9,12,8,6]=>[3,2,5,4,1,8,7,12,11,10,9,6]
[2,4,5,3,1,8,9,7,11,12,10,6]=>[3,2,5,4,1,10,9,8,7,12,11,6]
[2,4,5,3,1,8,10,11,9,7,12,6]=>[3,2,5,4,1,12,9,8,11,10,7,6]
[2,4,5,3,1,9,10,8,11,7,12,6]=>[3,2,5,4,1,12,11,10,9,8,7,6]
[3,4,2,5,1,7,9,11,12,10,8,6]=>[5,4,3,2,1,8,7,10,9,12,11,6]
[3,4,2,5,1,7,10,11,9,12,8,6]=>[5,4,3,2,1,8,7,12,11,10,9,6]
[3,4,2,5,1,8,9,7,11,12,10,6]=>[5,4,3,2,1,10,9,8,7,12,11,6]
[3,4,2,5,1,8,10,11,9,7,12,6]=>[5,4,3,2,1,12,9,8,11,10,7,6]
[3,4,2,5,1,9,10,8,11,7,12,6]=>[5,4,3,2,1,12,11,10,9,8,7,6]
[2,4,6,7,5,3,1,9,11,12,10,8]=>[3,2,5,4,7,6,1,10,9,12,11,8]
[2,4,6,7,5,3,1,10,11,9,12,8]=>[3,2,5,4,7,6,1,12,11,10,9,8]
[2,5,6,4,7,3,1,9,11,12,10,8]=>[3,2,7,6,5,4,1,10,9,12,11,8]
[2,5,6,4,7,3,1,10,11,9,12,8]=>[3,2,7,6,5,4,1,12,11,10,9,8]
[3,4,2,6,7,5,1,9,11,12,10,8]=>[5,4,3,2,7,6,1,10,9,12,11,8]
[3,4,2,6,7,5,1,10,11,9,12,8]=>[5,4,3,2,7,6,1,12,11,10,9,8]
[3,5,6,4,2,7,1,9,11,12,10,8]=>[7,4,3,6,5,2,1,10,9,12,11,8]
[3,5,6,4,2,7,1,10,11,9,12,8]=>[7,4,3,6,5,2,1,12,11,10,9,8]
[4,5,3,6,2,7,1,9,11,12,10,8]=>[7,6,5,4,3,2,1,10,9,12,11,8]
[4,5,3,6,2,7,1,10,11,9,12,8]=>[7,6,5,4,3,2,1,12,11,10,9,8]
[2,4,6,8,9,7,5,3,1,11,12,10]=>[3,2,5,4,7,6,9,8,1,12,11,10]
[2,4,7,8,6,9,5,3,1,11,12,10]=>[3,2,5,4,9,8,7,6,1,12,11,10]
[2,5,6,4,8,9,7,3,1,11,12,10]=>[3,2,7,6,5,4,9,8,1,12,11,10]
[2,5,7,8,6,4,9,3,1,11,12,10]=>[3,2,9,6,5,8,7,4,1,12,11,10]
[2,6,7,5,8,4,9,3,1,11,12,10]=>[3,2,9,8,7,6,5,4,1,12,11,10]
[3,4,2,6,8,9,7,5,1,11,12,10]=>[5,4,3,2,7,6,9,8,1,12,11,10]
[3,4,2,7,8,6,9,5,1,11,12,10]=>[5,4,3,2,9,8,7,6,1,12,11,10]
[3,5,6,4,2,8,9,7,1,11,12,10]=>[7,4,3,6,5,2,9,8,1,12,11,10]
[4,5,3,6,2,8,9,7,1,11,12,10]=>[7,6,5,4,3,2,9,8,1,12,11,10]
[3,5,7,8,6,4,2,9,1,11,12,10]=>[9,4,3,6,5,8,7,2,1,12,11,10]
[3,6,7,5,8,4,2,9,1,11,12,10]=>[9,4,3,8,7,6,5,2,1,12,11,10]
[4,5,3,7,8,6,2,9,1,11,12,10]=>[9,6,5,4,3,8,7,2,1,12,11,10]
[4,6,7,5,3,8,2,9,1,11,12,10]=>[9,8,5,4,7,6,3,2,1,12,11,10]
[5,6,4,7,3,8,2,9,1,11,12,10]=>[9,8,7,6,5,4,3,2,1,12,11,10]
[2,4,6,8,10,11,9,7,5,3,1,12]=>[3,2,5,4,7,6,9,8,11,10,1,12]
[2,4,6,9,10,8,11,7,5,3,1,12]=>[3,2,5,4,7,6,11,10,9,8,1,12]
[2,4,7,8,6,10,11,9,5,3,1,12]=>[3,2,5,4,9,8,7,6,11,10,1,12]
[2,4,7,9,10,8,6,11,5,3,1,12]=>[3,2,5,4,11,8,7,10,9,6,1,12]
[2,4,8,9,7,10,6,11,5,3,1,12]=>[3,2,5,4,11,10,9,8,7,6,1,12]
[2,5,6,4,8,10,11,9,7,3,1,12]=>[3,2,7,6,5,4,9,8,11,10,1,12]
[2,5,6,4,9,10,8,11,7,3,1,12]=>[3,2,7,6,5,4,11,10,9,8,1,12]
[2,5,7,8,6,4,10,11,9,3,1,12]=>[3,2,9,6,5,8,7,4,11,10,1,12]
[2,6,7,5,8,4,10,11,9,3,1,12]=>[3,2,9,8,7,6,5,4,11,10,1,12]
[2,5,7,9,10,8,6,4,11,3,1,12]=>[3,2,11,6,5,8,7,10,9,4,1,12]
[2,5,8,9,7,10,6,4,11,3,1,12]=>[3,2,11,6,5,10,9,8,7,4,1,12]
[2,6,7,5,9,10,8,4,11,3,1,12]=>[3,2,11,8,7,6,5,10,9,4,1,12]
[2,6,8,9,7,5,10,4,11,3,1,12]=>[3,2,11,10,7,6,9,8,5,4,1,12]
[2,7,8,6,9,5,10,4,11,3,1,12]=>[3,2,11,10,9,8,7,6,5,4,1,12]
[3,4,2,6,8,10,11,9,7,5,1,12]=>[5,4,3,2,7,6,9,8,11,10,1,12]
[3,4,2,6,9,10,8,11,7,5,1,12]=>[5,4,3,2,7,6,11,10,9,8,1,12]
[3,4,2,7,8,6,10,11,9,5,1,12]=>[5,4,3,2,9,8,7,6,11,10,1,12]
[3,4,2,7,9,10,8,6,11,5,1,12]=>[5,4,3,2,11,8,7,10,9,6,1,12]
[3,4,2,8,9,7,10,6,11,5,1,12]=>[5,4,3,2,11,10,9,8,7,6,1,12]
[3,5,6,4,2,8,10,11,9,7,1,12]=>[7,4,3,6,5,2,9,8,11,10,1,12]
[3,5,6,4,2,9,10,8,11,7,1,12]=>[7,4,3,6,5,2,11,10,9,8,1,12]
[4,5,3,6,2,8,10,11,9,7,1,12]=>[7,6,5,4,3,2,9,8,11,10,1,12]
[4,5,3,6,2,9,10,8,11,7,1,12]=>[7,6,5,4,3,2,11,10,9,8,1,12]
[3,5,7,8,6,4,2,10,11,9,1,12]=>[9,4,3,6,5,8,7,2,11,10,1,12]
[3,6,7,5,8,4,2,10,11,9,1,12]=>[9,4,3,8,7,6,5,2,11,10,1,12]
[4,5,3,7,8,6,2,10,11,9,1,12]=>[9,6,5,4,3,8,7,2,11,10,1,12]
[4,6,7,5,3,8,2,10,11,9,1,12]=>[9,8,5,4,7,6,3,2,11,10,1,12]
[5,6,4,7,3,8,2,10,11,9,1,12]=>[9,8,7,6,5,4,3,2,11,10,1,12]
[3,5,7,9,10,8,6,4,2,11,1,12]=>[11,4,3,6,5,8,7,10,9,2,1,12]
[3,5,8,9,7,10,6,4,2,11,1,12]=>[11,4,3,6,5,10,9,8,7,2,1,12]
[3,6,7,5,9,10,8,4,2,11,1,12]=>[11,4,3,8,7,6,5,10,9,2,1,12]
[3,6,8,9,7,5,10,4,2,11,1,12]=>[11,4,3,10,7,6,9,8,5,2,1,12]
[3,7,8,6,9,5,10,4,2,11,1,12]=>[11,4,3,10,9,8,7,6,5,2,1,12]
[4,5,3,7,9,10,8,6,2,11,1,12]=>[11,6,5,4,3,8,7,10,9,2,1,12]
[4,5,3,8,9,7,10,6,2,11,1,12]=>[11,6,5,4,3,10,9,8,7,2,1,12]
[4,6,7,5,3,9,10,8,2,11,1,12]=>[11,8,5,4,7,6,3,10,9,2,1,12]
[5,6,4,7,3,9,10,8,2,11,1,12]=>[11,8,7,6,5,4,3,10,9,2,1,12]
[4,6,8,9,7,5,3,10,2,11,1,12]=>[11,10,5,4,7,6,9,8,3,2,1,12]
[4,7,8,6,9,5,3,10,2,11,1,12]=>[11,10,5,4,9,8,7,6,3,2,1,12]
[5,6,4,8,9,7,3,10,2,11,1,12]=>[11,10,7,6,5,4,9,8,3,2,1,12]
[5,7,8,6,4,9,3,10,2,11,1,12]=>[11,10,9,6,5,8,7,4,3,2,1,12]
[3,2,5,4,7,6,9,8,10,12,11,1]=>[11,3,2,5,4,7,6,9,8,10,12,1]
[3,2,5,4,7,6,8,11,9,10,12,1]=>[12,3,2,5,4,7,6,8,11,9,10,1]
[3,2,5,4,7,6,8,10,9,12,11,1]=>[11,3,2,5,4,7,6,8,10,9,12,1]
[3,2,5,4,7,6,8,9,12,10,11,1]=>[11,3,2,5,4,7,6,8,9,12,10,1]
[3,2,5,4,6,9,7,8,11,10,12,1]=>[12,3,2,5,4,6,9,7,8,11,10,1]
[3,2,5,4,6,9,7,8,10,12,11,1]=>[11,3,2,5,4,6,9,7,8,10,12,1]
[3,2,5,4,6,8,7,11,9,10,12,1]=>[12,3,2,5,4,6,8,7,11,9,10,1]
[3,2,5,4,6,8,7,10,9,12,11,1]=>[11,3,2,5,4,6,8,7,10,9,12,1]
[3,2,5,4,6,8,7,9,12,10,11,1]=>[11,3,2,5,4,6,8,7,9,12,10,1]
[3,2,5,4,6,7,11,8,9,10,12,1]=>[12,3,2,5,4,6,7,11,8,9,10,1]
[3,2,5,4,6,7,10,8,9,12,11,1]=>[11,3,2,5,4,6,7,10,8,9,12,1]
[3,2,5,4,6,7,9,8,12,10,11,1]=>[11,3,2,5,4,6,7,9,8,12,10,1]
[3,2,5,4,6,7,8,12,9,10,11,1]=>[11,3,2,5,4,6,7,8,12,9,10,1]
[3,2,4,7,5,6,9,8,11,10,12,1]=>[12,3,2,4,7,5,6,9,8,11,10,1]
[3,2,4,7,5,6,9,8,10,12,11,1]=>[11,3,2,4,7,5,6,9,8,10,12,1]
[3,2,4,7,5,6,8,11,9,10,12,1]=>[12,3,2,4,7,5,6,8,11,9,10,1]
[3,2,4,7,5,6,8,10,9,12,11,1]=>[11,3,2,4,7,5,6,8,10,9,12,1]
[3,2,4,7,5,6,8,9,12,10,11,1]=>[11,3,2,4,7,5,6,8,9,12,10,1]
[3,2,4,6,5,9,7,8,11,10,12,1]=>[12,3,2,4,6,5,9,7,8,11,10,1]
[3,2,4,6,5,9,7,8,10,12,11,1]=>[11,3,2,4,6,5,9,7,8,10,12,1]
[3,2,4,6,5,8,7,11,9,10,12,1]=>[12,3,2,4,6,5,8,7,11,9,10,1]
[3,2,4,6,5,8,7,10,9,12,11,1]=>[11,3,2,4,6,5,8,7,10,9,12,1]
[3,2,4,6,5,8,7,9,12,10,11,1]=>[11,3,2,4,6,5,8,7,9,12,10,1]
[3,2,4,6,5,7,11,8,9,10,12,1]=>[12,3,2,4,6,5,7,11,8,9,10,1]
[3,2,4,6,5,7,10,8,9,12,11,1]=>[11,3,2,4,6,5,7,10,8,9,12,1]
[3,2,4,6,5,7,9,8,12,10,11,1]=>[11,3,2,4,6,5,7,9,8,12,10,1]
[3,2,4,6,5,7,8,12,9,10,11,1]=>[11,3,2,4,6,5,7,8,12,9,10,1]
[3,2,4,5,9,6,7,8,11,10,12,1]=>[12,3,2,4,5,9,6,7,8,11,10,1]
[3,2,4,5,9,6,7,8,10,12,11,1]=>[11,3,2,4,5,9,6,7,8,10,12,1]
[3,2,4,5,8,6,7,11,9,10,12,1]=>[12,3,2,4,5,8,6,7,11,9,10,1]
[3,2,4,5,8,6,7,10,9,12,11,1]=>[11,3,2,4,5,8,6,7,10,9,12,1]
[3,2,4,5,8,6,7,9,12,10,11,1]=>[11,3,2,4,5,8,6,7,9,12,10,1]
[3,2,4,5,7,6,11,8,9,10,12,1]=>[12,3,2,4,5,7,6,11,8,9,10,1]
[3,2,4,5,7,6,10,8,9,12,11,1]=>[11,3,2,4,5,7,6,10,8,9,12,1]
[3,2,4,5,7,6,9,8,12,10,11,1]=>[11,3,2,4,5,7,6,9,8,12,10,1]
[3,2,4,5,7,6,8,12,9,10,11,1]=>[11,3,2,4,5,7,6,8,12,9,10,1]
[3,2,4,5,6,11,7,8,9,10,12,1]=>[12,3,2,4,5,6,11,7,8,9,10,1]
[3,2,4,5,6,10,7,8,9,12,11,1]=>[11,3,2,4,5,6,10,7,8,9,12,1]
[3,2,4,5,6,9,7,8,12,10,11,1]=>[11,3,2,4,5,6,9,7,8,12,10,1]
[3,2,4,5,6,8,7,12,9,10,11,1]=>[11,3,2,4,5,6,8,7,12,9,10,1]
[3,2,4,5,6,7,12,8,9,10,11,1]=>[11,3,2,4,5,6,7,12,8,9,10,1]
[2,5,3,4,7,6,9,8,11,10,12,1]=>[12,2,5,3,4,7,6,9,8,11,10,1]
[2,5,3,4,7,6,9,8,10,12,11,1]=>[11,2,5,3,4,7,6,9,8,10,12,1]
[2,5,3,4,7,6,8,11,9,10,12,1]=>[12,2,5,3,4,7,6,8,11,9,10,1]
[2,5,3,4,7,6,8,10,9,12,11,1]=>[11,2,5,3,4,7,6,8,10,9,12,1]
[2,5,3,4,7,6,8,9,12,10,11,1]=>[11,2,5,3,4,7,6,8,9,12,10,1]
[2,5,3,4,6,9,7,8,11,10,12,1]=>[12,2,5,3,4,6,9,7,8,11,10,1]
[2,5,3,4,6,9,7,8,10,12,11,1]=>[11,2,5,3,4,6,9,7,8,10,12,1]
[2,5,3,4,6,8,7,11,9,10,12,1]=>[12,2,5,3,4,6,8,7,11,9,10,1]
[2,5,3,4,6,8,7,10,9,12,11,1]=>[11,2,5,3,4,6,8,7,10,9,12,1]
[2,5,3,4,6,8,7,9,12,10,11,1]=>[11,2,5,3,4,6,8,7,9,12,10,1]
[2,5,3,4,6,7,11,8,9,10,12,1]=>[12,2,5,3,4,6,7,11,8,9,10,1]
[2,5,3,4,6,7,10,8,9,12,11,1]=>[11,2,5,3,4,6,7,10,8,9,12,1]
[2,5,3,4,6,7,9,8,12,10,11,1]=>[11,2,5,3,4,6,7,9,8,12,10,1]
[2,5,3,4,6,7,8,12,9,10,11,1]=>[11,2,5,3,4,6,7,8,12,9,10,1]
[2,4,3,7,5,6,9,8,11,10,12,1]=>[12,2,4,3,7,5,6,9,8,11,10,1]
[2,4,3,7,5,6,9,8,10,12,11,1]=>[11,2,4,3,7,5,6,9,8,10,12,1]
[2,4,3,7,5,6,8,11,9,10,12,1]=>[12,2,4,3,7,5,6,8,11,9,10,1]
[2,4,3,7,5,6,8,10,9,12,11,1]=>[11,2,4,3,7,5,6,8,10,9,12,1]
[2,4,3,7,5,6,8,9,12,10,11,1]=>[11,2,4,3,7,5,6,8,9,12,10,1]
[2,4,3,6,5,9,7,8,11,10,12,1]=>[12,2,4,3,6,5,9,7,8,11,10,1]
[2,4,3,6,5,9,7,8,10,12,11,1]=>[11,2,4,3,6,5,9,7,8,10,12,1]
[2,4,3,6,5,8,7,11,9,10,12,1]=>[12,2,4,3,6,5,8,7,11,9,10,1]
[2,4,3,6,5,8,7,9,12,10,11,1]=>[11,2,4,3,6,5,8,7,9,12,10,1]
[2,4,3,6,5,7,11,8,9,10,12,1]=>[12,2,4,3,6,5,7,11,8,9,10,1]
[2,4,3,6,5,7,10,8,9,12,11,1]=>[11,2,4,3,6,5,7,10,8,9,12,1]
[2,4,3,6,5,7,9,8,12,10,11,1]=>[11,2,4,3,6,5,7,9,8,12,10,1]
[2,4,3,6,5,7,8,12,9,10,11,1]=>[11,2,4,3,6,5,7,8,12,9,10,1]
[2,4,3,5,9,6,7,8,11,10,12,1]=>[12,2,4,3,5,9,6,7,8,11,10,1]
[2,4,3,5,9,6,7,8,10,12,11,1]=>[11,2,4,3,5,9,6,7,8,10,12,1]
[2,4,3,5,8,6,7,11,9,10,12,1]=>[12,2,4,3,5,8,6,7,11,9,10,1]
[2,4,3,5,8,6,7,10,9,12,11,1]=>[11,2,4,3,5,8,6,7,10,9,12,1]
[2,4,3,5,8,6,7,9,12,10,11,1]=>[11,2,4,3,5,8,6,7,9,12,10,1]
[2,4,3,5,7,6,11,8,9,10,12,1]=>[12,2,4,3,5,7,6,11,8,9,10,1]
[2,4,3,5,7,6,10,8,9,12,11,1]=>[11,2,4,3,5,7,6,10,8,9,12,1]
[2,4,3,5,7,6,9,8,12,10,11,1]=>[11,2,4,3,5,7,6,9,8,12,10,1]
[2,4,3,5,7,6,8,12,9,10,11,1]=>[11,2,4,3,5,7,6,8,12,9,10,1]
[2,4,3,5,6,11,7,8,9,10,12,1]=>[12,2,4,3,5,6,11,7,8,9,10,1]
[2,4,3,5,6,10,7,8,9,12,11,1]=>[11,2,4,3,5,6,10,7,8,9,12,1]
[2,4,3,5,6,9,7,8,12,10,11,1]=>[11,2,4,3,5,6,9,7,8,12,10,1]
[2,4,3,5,6,8,7,12,9,10,11,1]=>[11,2,4,3,5,6,8,7,12,9,10,1]
[2,4,3,5,6,7,12,8,9,10,11,1]=>[11,2,4,3,5,6,7,12,8,9,10,1]
[2,3,7,4,5,6,9,8,11,10,12,1]=>[12,2,3,7,4,5,6,9,8,11,10,1]
[2,3,7,4,5,6,9,8,10,12,11,1]=>[11,2,3,7,4,5,6,9,8,10,12,1]
[2,3,7,4,5,6,8,11,9,10,12,1]=>[12,2,3,7,4,5,6,8,11,9,10,1]
[2,3,7,4,5,6,8,10,9,12,11,1]=>[11,2,3,7,4,5,6,8,10,9,12,1]
[2,3,7,4,5,6,8,9,12,10,11,1]=>[11,2,3,7,4,5,6,8,9,12,10,1]
[2,3,6,4,5,9,7,8,11,10,12,1]=>[12,2,3,6,4,5,9,7,8,11,10,1]
[2,3,6,4,5,9,7,8,10,12,11,1]=>[11,2,3,6,4,5,9,7,8,10,12,1]
[2,3,6,4,5,8,7,11,9,10,12,1]=>[12,2,3,6,4,5,8,7,11,9,10,1]
[2,3,6,4,5,8,7,10,9,12,11,1]=>[11,2,3,6,4,5,8,7,10,9,12,1]
[2,3,6,4,5,8,7,9,12,10,11,1]=>[11,2,3,6,4,5,8,7,9,12,10,1]
[2,3,6,4,5,7,11,8,9,10,12,1]=>[12,2,3,6,4,5,7,11,8,9,10,1]
[2,3,6,4,5,7,10,8,9,12,11,1]=>[11,2,3,6,4,5,7,10,8,9,12,1]
[2,3,6,4,5,7,9,8,12,10,11,1]=>[11,2,3,6,4,5,7,9,8,12,10,1]
[2,3,6,4,5,7,8,12,9,10,11,1]=>[11,2,3,6,4,5,7,8,12,9,10,1]
[2,3,5,4,9,6,7,8,11,10,12,1]=>[12,2,3,5,4,9,6,7,8,11,10,1]
[2,3,5,4,9,6,7,8,10,12,11,1]=>[11,2,3,5,4,9,6,7,8,10,12,1]
[2,3,5,4,8,6,7,11,9,10,12,1]=>[12,2,3,5,4,8,6,7,11,9,10,1]
[2,3,5,4,8,6,7,10,9,12,11,1]=>[11,2,3,5,4,8,6,7,10,9,12,1]
[2,3,5,4,8,6,7,9,12,10,11,1]=>[11,2,3,5,4,8,6,7,9,12,10,1]
[2,3,5,4,7,6,11,8,9,10,12,1]=>[12,2,3,5,4,7,6,11,8,9,10,1]
[2,3,5,4,7,6,10,8,9,12,11,1]=>[11,2,3,5,4,7,6,10,8,9,12,1]
[2,3,5,4,7,6,9,8,12,10,11,1]=>[11,2,3,5,4,7,6,9,8,12,10,1]
[2,3,5,4,7,6,8,12,9,10,11,1]=>[11,2,3,5,4,7,6,8,12,9,10,1]
[2,3,5,4,6,11,7,8,9,10,12,1]=>[12,2,3,5,4,6,11,7,8,9,10,1]
[2,3,5,4,6,10,7,8,9,12,11,1]=>[11,2,3,5,4,6,10,7,8,9,12,1]
[2,3,5,4,6,9,7,8,12,10,11,1]=>[11,2,3,5,4,6,9,7,8,12,10,1]
[2,3,5,4,6,8,7,12,9,10,11,1]=>[11,2,3,5,4,6,8,7,12,9,10,1]
[2,3,5,4,6,7,12,8,9,10,11,1]=>[11,2,3,5,4,6,7,12,8,9,10,1]
[2,3,4,9,5,6,7,8,11,10,12,1]=>[12,2,3,4,9,5,6,7,8,11,10,1]
[2,3,4,9,5,6,7,8,10,12,11,1]=>[11,2,3,4,9,5,6,7,8,10,12,1]
[2,3,4,8,5,6,7,11,9,10,12,1]=>[12,2,3,4,8,5,6,7,11,9,10,1]
[2,3,4,8,5,6,7,10,9,12,11,1]=>[11,2,3,4,8,5,6,7,10,9,12,1]
[2,3,4,8,5,6,7,9,12,10,11,1]=>[11,2,3,4,8,5,6,7,9,12,10,1]
[2,3,4,7,5,6,11,8,9,10,12,1]=>[12,2,3,4,7,5,6,11,8,9,10,1]
[2,3,4,7,5,6,10,8,9,12,11,1]=>[11,2,3,4,7,5,6,10,8,9,12,1]
[2,3,4,7,5,6,9,8,12,10,11,1]=>[11,2,3,4,7,5,6,9,8,12,10,1]
[2,3,4,7,5,6,8,12,9,10,11,1]=>[11,2,3,4,7,5,6,8,12,9,10,1]
[2,3,4,6,5,11,7,8,9,10,12,1]=>[12,2,3,4,6,5,11,7,8,9,10,1]
[2,3,4,6,5,10,7,8,9,12,11,1]=>[11,2,3,4,6,5,10,7,8,9,12,1]
[2,3,4,6,5,9,7,8,12,10,11,1]=>[11,2,3,4,6,5,9,7,8,12,10,1]
[2,3,4,6,5,8,7,12,9,10,11,1]=>[11,2,3,4,6,5,8,7,12,9,10,1]
[2,3,4,6,5,7,12,8,9,10,11,1]=>[11,2,3,4,6,5,7,12,8,9,10,1]
[2,3,4,5,11,6,7,8,9,10,12,1]=>[12,2,3,4,5,11,6,7,8,9,10,1]
[2,3,4,5,10,6,7,8,9,12,11,1]=>[11,2,3,4,5,10,6,7,8,9,12,1]
[2,3,4,5,9,6,7,8,12,10,11,1]=>[11,2,3,4,5,9,6,7,8,12,10,1]
[2,3,4,5,8,6,7,12,9,10,11,1]=>[11,2,3,4,5,8,6,7,12,9,10,1]
[2,3,4,5,7,6,12,8,9,10,11,1]=>[11,2,3,4,5,7,6,12,8,9,10,1]
[3,7,8,2,4,9,10,1,5,11,12,6]=>[10,8,3,2,1,12,7,4,9,5,11,6]
[3,7,8,2,4,9,10,11,1,5,12,6]=>[11,8,3,2,1,12,7,4,9,10,5,6]
[3,7,8,9,2,4,10,1,5,11,12,6]=>[10,9,3,2,1,12,7,8,4,5,11,6]
[3,7,8,9,2,4,10,11,1,5,12,6]=>[11,9,3,2,1,12,7,8,4,10,5,6]
[3,7,8,9,10,2,4,11,1,5,12,6]=>[11,10,3,2,1,12,7,8,9,4,5,6]
[7,3,8,2,4,9,10,1,5,11,12,6]=>[10,8,7,2,1,12,3,4,9,5,11,6]
[7,3,8,2,4,9,10,11,1,5,12,6]=>[11,8,7,2,1,12,3,4,9,10,5,6]
[7,3,8,9,2,4,10,1,5,11,12,6]=>[10,9,7,2,1,12,3,8,4,5,11,6]
[7,3,8,9,2,4,10,11,1,5,12,6]=>[11,9,7,2,1,12,3,8,4,10,5,6]
[7,3,8,9,10,2,4,11,1,5,12,6]=>[11,10,7,2,1,12,3,8,9,4,5,6]
[7,8,3,9,2,4,10,1,5,11,12,6]=>[10,9,8,2,1,12,7,3,4,5,11,6]
[7,8,3,9,2,4,10,11,1,5,12,6]=>[11,9,8,2,1,12,7,3,4,10,5,6]
[7,8,3,9,10,2,4,11,1,5,12,6]=>[11,10,8,2,1,12,7,3,9,4,5,6]
[7,8,9,3,10,2,4,11,1,5,12,6]=>[11,10,9,2,1,12,7,8,3,4,5,6]
[2,3,7,8,4,9,10,1,5,11,12,6]=>[10,2,3,8,1,12,7,4,9,5,11,6]
[2,3,7,8,4,9,10,11,1,5,12,6]=>[11,2,3,8,1,12,7,4,9,10,5,6]
[2,3,7,8,9,4,10,1,5,11,12,6]=>[10,2,3,9,1,12,7,8,4,5,11,6]
[2,3,7,8,9,4,10,11,1,5,12,6]=>[11,2,3,9,1,12,7,8,4,10,5,6]
[2,3,7,8,9,10,4,11,1,5,12,6]=>[11,2,3,10,1,12,7,8,9,4,5,6]
[7,2,3,8,4,9,10,1,5,11,12,6]=>[10,7,2,8,1,12,3,4,9,5,11,6]
[7,2,3,8,4,9,10,11,1,5,12,6]=>[11,7,2,8,1,12,3,4,9,10,5,6]
[7,2,3,8,9,4,10,1,5,11,12,6]=>[10,7,2,9,1,12,3,8,4,5,11,6]
[7,2,3,8,9,4,10,11,1,5,12,6]=>[11,7,2,9,1,12,3,8,4,10,5,6]
[7,2,3,8,9,10,4,11,1,5,12,6]=>[11,7,2,10,1,12,3,8,9,4,5,6]
[7,8,2,3,9,4,10,1,5,11,12,6]=>[10,8,2,9,1,12,7,3,4,5,11,6]
[7,8,2,3,9,4,10,11,1,5,12,6]=>[11,8,2,9,1,12,7,3,4,10,5,6]
[7,8,2,3,9,10,4,11,1,5,12,6]=>[11,8,2,10,1,12,7,3,9,4,5,6]
[7,8,9,2,3,10,4,11,1,5,12,6]=>[11,9,2,10,1,12,7,8,3,4,5,6]
[2,7,3,8,4,9,10,1,5,11,12,6]=>[10,2,7,8,1,12,3,4,9,5,11,6]
[2,7,3,8,4,9,10,11,1,5,12,6]=>[11,2,7,8,1,12,3,4,9,10,5,6]
[2,7,3,8,9,4,10,1,5,11,12,6]=>[10,2,7,9,1,12,3,8,4,5,11,6]
[2,7,3,8,9,4,10,11,1,5,12,6]=>[11,2,7,9,1,12,3,8,4,10,5,6]
[2,7,3,8,9,10,4,11,1,5,12,6]=>[11,2,7,10,1,12,3,8,9,4,5,6]
[2,7,8,3,9,4,10,1,5,11,12,6]=>[10,2,8,9,1,12,7,3,4,5,11,6]
[2,7,8,3,9,4,10,11,1,5,12,6]=>[11,2,8,9,1,12,7,3,4,10,5,6]
[2,7,8,3,9,10,4,11,1,5,12,6]=>[11,2,8,10,1,12,7,3,9,4,5,6]
[2,7,8,9,3,10,4,11,1,5,12,6]=>[11,2,9,10,1,12,7,8,3,4,5,6]
[7,2,8,3,9,4,10,1,5,11,12,6]=>[10,7,8,9,1,12,2,3,4,5,11,6]
[7,2,8,3,9,4,10,11,1,5,12,6]=>[11,7,8,9,1,12,2,3,4,10,5,6]
[7,2,8,3,9,10,4,11,1,5,12,6]=>[11,7,8,10,1,12,2,3,9,4,5,6]
[7,2,8,9,3,10,4,11,1,5,12,6]=>[11,7,9,10,1,12,2,8,3,4,5,6]
[7,8,2,9,3,10,4,11,1,5,12,6]=>[11,8,9,10,1,12,7,2,3,4,5,6]
[3,7,8,1,2,4,9,10,5,11,12,6]=>[8,1,3,2,10,12,7,4,9,5,11,6]
[3,7,8,1,2,4,9,10,11,5,12,6]=>[8,1,3,2,11,12,7,4,9,10,5,6]
[3,7,8,9,1,2,4,10,5,11,12,6]=>[9,1,3,2,10,12,7,8,4,5,11,6]
[3,7,8,9,1,2,4,10,11,5,12,6]=>[9,1,3,2,11,12,7,8,4,10,5,6]
[3,7,8,9,10,1,2,4,11,5,12,6]=>[10,1,3,2,11,12,7,8,9,4,5,6]
[7,3,8,1,2,4,9,10,5,11,12,6]=>[8,1,7,2,10,12,3,4,9,5,11,6]
[7,3,8,1,2,4,9,10,11,5,12,6]=>[8,1,7,2,11,12,3,4,9,10,5,6]
[7,3,8,9,1,2,4,10,5,11,12,6]=>[9,1,7,2,10,12,3,8,4,5,11,6]
[7,3,8,9,1,2,4,10,11,5,12,6]=>[9,1,7,2,11,12,3,8,4,10,5,6]
[7,3,8,9,10,1,2,4,11,5,12,6]=>[10,1,7,2,11,12,3,8,9,4,5,6]
[7,8,3,9,1,2,4,10,5,11,12,6]=>[9,1,8,2,10,12,7,3,4,5,11,6]
[7,8,3,9,1,2,4,10,11,5,12,6]=>[9,1,8,2,11,12,7,3,4,10,5,6]
[7,8,3,9,10,1,2,4,11,5,12,6]=>[10,1,8,2,11,12,7,3,9,4,5,6]
[7,8,9,3,10,1,2,4,11,5,12,6]=>[10,1,9,2,11,12,7,8,3,4,5,6]
[2,3,7,8,1,4,9,10,5,11,12,6]=>[8,2,3,1,10,12,7,4,9,5,11,6]
[2,3,7,8,1,4,9,10,11,5,12,6]=>[8,2,3,1,11,12,7,4,9,10,5,6]
[2,3,7,8,9,1,4,10,5,11,12,6]=>[9,2,3,1,10,12,7,8,4,5,11,6]
[2,3,7,8,9,1,4,10,11,5,12,6]=>[9,2,3,1,11,12,7,8,4,10,5,6]
[2,3,7,8,9,10,1,4,11,5,12,6]=>[10,2,3,1,11,12,7,8,9,4,5,6]
[7,2,3,8,1,4,9,10,5,11,12,6]=>[8,7,2,1,10,12,3,4,9,5,11,6]
[7,2,3,8,1,4,9,10,11,5,12,6]=>[8,7,2,1,11,12,3,4,9,10,5,6]
[7,2,3,8,9,1,4,10,5,11,12,6]=>[9,7,2,1,10,12,3,8,4,5,11,6]
[7,2,3,8,9,1,4,10,11,5,12,6]=>[9,7,2,1,11,12,3,8,4,10,5,6]
[7,2,3,8,9,10,1,4,11,5,12,6]=>[10,7,2,1,11,12,3,8,9,4,5,6]
[7,8,2,3,9,1,4,10,5,11,12,6]=>[9,8,2,1,10,12,7,3,4,5,11,6]
[7,8,2,3,9,1,4,10,11,5,12,6]=>[9,8,2,1,11,12,7,3,4,10,5,6]
[7,8,2,3,9,10,1,4,11,5,12,6]=>[10,8,2,1,11,12,7,3,9,4,5,6]
[7,8,9,2,3,10,1,4,11,5,12,6]=>[10,9,2,1,11,12,7,8,3,4,5,6]
[2,7,3,8,1,4,9,10,5,11,12,6]=>[8,2,7,1,10,12,3,4,9,5,11,6]
[2,7,3,8,1,4,9,10,11,5,12,6]=>[8,2,7,1,11,12,3,4,9,10,5,6]
[2,7,3,8,9,1,4,10,5,11,12,6]=>[9,2,7,1,10,12,3,8,4,5,11,6]
[2,7,3,8,9,1,4,10,11,5,12,6]=>[9,2,7,1,11,12,3,8,4,10,5,6]
[2,7,3,8,9,10,1,4,11,5,12,6]=>[10,2,7,1,11,12,3,8,9,4,5,6]
[2,7,8,3,9,1,4,10,5,11,12,6]=>[9,2,8,1,10,12,7,3,4,5,11,6]
[2,7,8,3,9,1,4,10,11,5,12,6]=>[9,2,8,1,11,12,7,3,4,10,5,6]
[2,7,8,3,9,10,1,4,11,5,12,6]=>[10,2,8,1,11,12,7,3,9,4,5,6]
[2,7,8,9,3,10,1,4,11,5,12,6]=>[10,2,9,1,11,12,7,8,3,4,5,6]
[7,2,8,3,9,1,4,10,5,11,12,6]=>[9,7,8,1,10,12,2,3,4,5,11,6]
[7,2,8,3,9,1,4,10,11,5,12,6]=>[9,7,8,1,11,12,2,3,4,10,5,6]
[7,2,8,3,9,10,1,4,11,5,12,6]=>[10,7,8,1,11,12,2,3,9,4,5,6]
[7,2,8,9,3,10,1,4,11,5,12,6]=>[10,7,9,1,11,12,2,8,3,4,5,6]
[7,8,2,9,3,10,1,4,11,5,12,6]=>[10,8,9,1,11,12,7,2,3,4,5,6]
[1,2,3,7,8,4,9,10,5,11,12,6]=>[1,2,3,8,10,12,7,4,9,5,11,6]
[1,2,3,7,8,4,9,10,11,5,12,6]=>[1,2,3,8,11,12,7,4,9,10,5,6]
[1,2,3,7,8,9,4,10,5,11,12,6]=>[1,2,3,9,10,12,7,8,4,5,11,6]
[1,2,3,7,8,9,4,10,11,5,12,6]=>[1,2,3,9,11,12,7,8,4,10,5,6]
[1,2,3,7,8,9,10,4,11,5,12,6]=>[1,2,3,10,11,12,7,8,9,4,5,6]
[7,1,2,3,8,4,9,10,5,11,12,6]=>[7,1,2,8,10,12,3,4,9,5,11,6]
[7,1,2,3,8,4,9,10,11,5,12,6]=>[7,1,2,8,11,12,3,4,9,10,5,6]
[7,1,2,3,8,9,4,10,5,11,12,6]=>[7,1,2,9,10,12,3,8,4,5,11,6]
[7,1,2,3,8,9,4,10,11,5,12,6]=>[7,1,2,9,11,12,3,8,4,10,5,6]
[7,1,2,3,8,9,10,4,11,5,12,6]=>[7,1,2,10,11,12,3,8,9,4,5,6]
[7,8,1,2,3,9,4,10,5,11,12,6]=>[8,1,2,9,10,12,7,3,4,5,11,6]
[7,8,1,2,3,9,4,10,11,5,12,6]=>[8,1,2,9,11,12,7,3,4,10,5,6]
[7,8,1,2,3,9,10,4,11,5,12,6]=>[8,1,2,10,11,12,7,3,9,4,5,6]
[2,7,1,3,8,4,9,10,5,11,12,6]=>[7,2,1,8,10,12,3,4,9,5,11,6]
[2,7,1,3,8,4,9,10,11,5,12,6]=>[7,2,1,8,11,12,3,4,9,10,5,6]
[2,7,1,3,8,9,4,10,5,11,12,6]=>[7,2,1,9,10,12,3,8,4,5,11,6]
[2,7,1,3,8,9,4,10,11,5,12,6]=>[7,2,1,9,11,12,3,8,4,10,5,6]
[2,7,1,3,8,9,10,4,11,5,12,6]=>[7,2,1,10,11,12,3,8,9,4,5,6]
[2,7,8,1,3,9,4,10,5,11,12,6]=>[8,2,1,9,10,12,7,3,4,5,11,6]
[2,7,8,1,3,9,4,10,11,5,12,6]=>[8,2,1,9,11,12,7,3,4,10,5,6]
[2,7,8,1,3,9,10,4,11,5,12,6]=>[8,2,1,10,11,12,7,3,9,4,5,6]
[2,7,8,9,1,3,10,4,11,5,12,6]=>[9,2,1,10,11,12,7,8,3,4,5,6]
[7,2,8,1,3,9,4,10,5,11,12,6]=>[8,7,1,9,10,12,2,3,4,5,11,6]
[7,2,8,1,3,9,4,10,11,5,12,6]=>[8,7,1,9,11,12,2,3,4,10,5,6]
[7,2,8,1,3,9,10,4,11,5,12,6]=>[8,7,1,10,11,12,2,3,9,4,5,6]
[7,2,8,9,1,3,10,4,11,5,12,6]=>[9,7,1,10,11,12,2,8,3,4,5,6]
[7,8,2,9,1,3,10,4,11,5,12,6]=>[9,8,1,10,11,12,7,2,3,4,5,6]
[1,2,7,3,8,4,9,10,5,11,12,6]=>[1,2,7,8,10,12,3,4,9,5,11,6]
[1,2,7,3,8,4,9,10,11,5,12,6]=>[1,2,7,8,11,12,3,4,9,10,5,6]
[1,2,7,3,8,9,4,10,5,11,12,6]=>[1,2,7,9,10,12,3,8,4,5,11,6]
[1,2,7,3,8,9,4,10,11,5,12,6]=>[1,2,7,9,11,12,3,8,4,10,5,6]
[1,2,7,3,8,9,10,4,11,5,12,6]=>[1,2,7,10,11,12,3,8,9,4,5,6]
[1,2,7,8,3,9,4,10,5,11,12,6]=>[1,2,8,9,10,12,7,3,4,5,11,6]
[1,2,7,8,3,9,4,10,11,5,12,6]=>[1,2,8,9,11,12,7,3,4,10,5,6]
[1,2,7,8,3,9,10,4,11,5,12,6]=>[1,2,8,10,11,12,7,3,9,4,5,6]
[1,2,7,8,9,3,10,4,11,5,12,6]=>[1,2,9,10,11,12,7,8,3,4,5,6]
[7,1,2,8,3,9,4,10,5,11,12,6]=>[7,1,8,9,10,12,2,3,4,5,11,6]
[7,1,2,8,3,9,4,10,11,5,12,6]=>[7,1,8,9,11,12,2,3,4,10,5,6]
[7,1,2,8,3,9,10,4,11,5,12,6]=>[7,1,8,10,11,12,2,3,9,4,5,6]
[7,1,2,8,9,3,10,4,11,5,12,6]=>[7,1,9,10,11,12,2,8,3,4,5,6]
[1,7,2,8,3,9,4,10,5,11,12,6]=>[1,7,8,9,10,12,2,3,4,5,11,6]
[1,7,2,8,3,9,4,10,11,5,12,6]=>[1,7,8,9,11,12,2,3,4,10,5,6]
[1,7,2,8,3,9,10,4,11,5,12,6]=>[1,7,8,10,11,12,2,3,9,4,5,6]
[1,7,2,8,9,3,10,4,11,5,12,6]=>[1,7,9,10,11,12,2,8,3,4,5,6]
[11,10,1,2,3,4,5,6,7,8,12,9]=>[10,1,2,3,4,5,6,7,11,12,9,8]
[12,10,1,2,3,4,5,6,7,11,8,9]=>[10,1,2,3,4,5,6,12,7,11,8,9]
[12,11,1,2,3,4,5,6,10,7,8,9]=>[11,1,2,3,4,5,10,7,8,6,12,9]
[12,11,1,2,3,4,5,10,6,7,8,9]=>[11,1,2,3,4,10,6,7,8,5,12,9]
[11,10,1,2,3,4,12,5,6,7,8,9]=>[10,1,2,3,11,4,6,7,8,12,5,9]
[12,10,1,2,3,11,4,5,6,7,8,9]=>[10,1,2,12,3,5,6,7,8,11,4,9]
[12,11,1,2,10,3,4,5,6,7,8,9]=>[11,1,10,3,4,5,6,7,8,2,12,9]
[12,11,1,10,2,3,4,5,6,7,8,9]=>[11,10,2,3,4,5,6,7,8,1,12,9]
[10,11,12,1,2,3,4,5,6,7,8,9]=>[12,1,2,3,4,5,6,7,8,10,11,9]
[7,6,8,5,9,4,10,3,12,11,1,2]=>[11,1,10,9,8,7,6,5,4,3,12,2]
[7,6,8,5,9,4,11,10,2,3,12,1]=>[12,10,2,9,8,7,6,5,4,11,3,1]
[7,6,8,5,9,4,12,10,2,11,1,3]=>[11,10,1,9,8,7,6,5,4,12,2,3]
[7,6,8,5,9,4,12,11,10,1,2,3]=>[10,1,2,9,8,7,6,5,4,11,12,3]
[7,6,8,5,10,9,3,4,11,2,12,1]=>[12,11,9,3,8,7,6,5,10,4,2,1]
[7,6,8,5,10,9,3,4,12,11,1,2]=>[11,1,9,3,8,7,6,5,10,4,12,2]
[7,6,8,5,11,9,3,10,2,4,12,1]=>[12,10,9,2,8,7,6,5,11,3,4,1]
[7,6,8,5,12,9,3,10,2,11,1,4]=>[11,10,9,1,8,7,6,5,12,3,2,4]
[7,6,8,5,12,9,3,11,10,1,2,4]=>[10,1,9,3,8,7,6,5,11,12,2,4]
[7,6,8,5,11,10,9,2,3,4,12,1]=>[12,9,2,3,8,7,6,5,10,11,4,1]
[7,6,8,5,12,10,9,2,3,11,1,4]=>[11,9,2,1,8,7,6,5,10,12,3,4]
[7,6,8,5,12,11,9,2,10,1,3,4]=>[10,9,1,3,8,7,6,5,11,2,12,4]
[7,6,8,5,12,11,10,9,1,2,3,4]=>[9,1,2,3,8,7,6,5,10,11,12,4]
[7,6,9,8,4,5,10,3,11,2,12,1]=>[12,11,10,8,4,7,6,9,5,3,2,1]
[7,6,9,8,4,5,10,3,12,11,1,2]=>[11,1,10,8,4,7,6,9,5,3,12,2]
[7,6,9,8,4,5,11,10,2,3,12,1]=>[12,10,2,8,4,7,6,9,5,11,3,1]
[7,6,9,8,4,5,12,10,2,11,1,3]=>[11,10,1,8,4,7,6,9,5,12,2,3]
[7,6,9,8,4,5,12,11,10,1,2,3]=>[10,1,2,8,4,7,6,9,5,11,12,3]
[7,6,10,8,4,9,3,5,11,2,12,1]=>[12,11,9,8,3,7,6,10,4,5,2,1]
[7,6,10,8,4,9,3,5,12,11,1,2]=>[11,1,9,8,3,7,6,10,4,5,12,2]
[7,6,11,8,4,9,3,10,2,5,12,1]=>[12,10,9,8,2,7,6,11,4,3,5,1]
[7,6,12,8,4,9,3,10,2,11,1,5]=>[11,10,9,8,1,7,6,12,4,3,2,5]
[7,6,12,8,4,9,3,11,10,1,2,5]=>[10,1,9,8,4,7,6,11,2,12,3,5]
[7,6,11,8,4,10,9,2,3,5,12,1]=>[12,9,2,8,4,7,6,10,11,3,5,1]
[7,6,12,8,4,10,9,2,3,11,1,5]=>[11,9,2,8,1,7,6,10,12,3,4,5]
[7,6,12,8,4,11,9,2,10,1,3,5]=>[10,9,1,8,3,7,6,11,12,4,2,5]
[7,6,12,8,4,11,10,9,1,2,3,5]=>[9,1,2,8,3,7,6,10,11,12,4,5]
[7,6,10,9,8,3,4,5,11,2,12,1]=>[12,11,8,3,4,7,6,9,10,5,2,1]
[7,6,10,9,8,3,4,5,12,11,1,2]=>[11,1,8,3,4,7,6,9,10,5,12,2]
[7,6,11,9,8,3,4,10,2,5,12,1]=>[12,10,8,3,2,7,6,9,11,4,5,1]
[7,6,12,9,8,3,4,10,2,11,1,5]=>[11,10,8,3,1,7,6,9,12,4,2,5]
[7,6,12,9,8,3,4,11,10,1,2,5]=>[10,1,8,2,3,7,6,9,11,12,4,5]
[7,6,11,10,8,3,9,2,4,5,12,1]=>[12,9,8,2,4,7,6,10,3,11,5,1]
[7,6,12,10,8,3,9,2,4,11,1,5]=>[11,9,8,2,1,7,6,10,3,12,4,5]
[7,6,12,11,8,3,9,2,10,1,4,5]=>[10,9,8,1,4,7,6,11,3,2,12,5]
[7,6,12,11,8,3,10,9,1,2,4,5]=>[9,1,8,3,4,7,6,10,11,2,12,5]
[7,6,11,10,9,8,2,3,4,5,12,1]=>[12,8,2,3,4,7,6,9,10,11,5,1]
[7,6,12,10,9,8,2,3,4,11,1,5]=>[11,8,2,3,1,7,6,9,10,12,4,5]
[7,6,12,11,9,8,2,3,10,1,4,5]=>[10,8,2,1,4,7,6,9,11,3,12,5]
[7,6,12,11,10,8,2,9,1,3,4,5]=>[9,8,1,3,4,7,6,10,2,11,12,5]
[7,6,12,11,10,9,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,9,10,11,12,5]
[8,7,5,6,9,4,10,3,11,2,12,1]=>[12,11,10,9,7,5,8,6,4,3,2,1]
[8,7,5,6,9,4,10,3,12,11,1,2]=>[11,1,10,9,7,5,8,6,4,3,12,2]
[8,7,5,6,9,4,11,10,2,3,12,1]=>[12,10,2,9,7,5,8,6,4,11,3,1]
[8,7,5,6,9,4,12,10,2,11,1,3]=>[11,10,1,9,7,5,8,6,4,12,2,3]
[8,7,5,6,9,4,12,11,10,1,2,3]=>[10,1,2,9,7,5,8,6,4,11,12,3]
[8,7,5,6,10,9,3,4,11,2,12,1]=>[12,11,9,3,7,5,8,6,10,4,2,1]
[8,7,5,6,10,9,3,4,12,11,1,2]=>[11,1,9,3,7,5,8,6,10,4,12,2]
[8,7,5,6,11,9,3,10,2,4,12,1]=>[12,10,9,2,7,5,8,6,11,3,4,1]
[8,7,5,6,12,9,3,10,2,11,1,4]=>[11,10,9,1,7,5,8,6,12,3,2,4]
[8,7,5,6,12,9,3,11,10,1,2,4]=>[10,1,9,3,7,5,8,6,11,12,2,4]
[8,7,5,6,11,10,9,2,3,4,12,1]=>[12,9,2,3,7,5,8,6,10,11,4,1]
[8,7,5,6,12,10,9,2,3,11,1,4]=>[11,9,2,1,7,5,8,6,10,12,3,4]
[8,7,5,6,12,11,9,2,10,1,3,4]=>[10,9,1,3,7,5,8,6,11,2,12,4]
[8,7,5,6,12,11,10,9,1,2,3,4]=>[9,1,2,3,7,5,8,6,10,11,12,4]
[9,7,5,8,4,6,10,3,11,2,12,1]=>[12,11,10,8,7,4,9,5,6,3,2,1]
[9,7,5,8,4,6,10,3,12,11,1,2]=>[11,1,10,8,7,4,9,5,6,3,12,2]
[9,7,5,8,4,6,11,10,2,3,12,1]=>[12,10,2,8,7,4,9,5,6,11,3,1]
[9,7,5,8,4,6,12,10,2,11,1,3]=>[11,10,1,8,7,4,9,5,6,12,2,3]
[9,7,5,8,4,6,12,11,10,1,2,3]=>[10,1,2,8,7,4,9,5,6,11,12,3]
[10,7,5,8,4,9,3,6,11,2,12,1]=>[12,11,9,8,7,3,10,5,4,6,2,1]
[10,7,5,8,4,9,3,6,12,11,1,2]=>[11,1,9,8,7,3,10,5,4,6,12,2]
[11,7,5,8,4,9,3,10,2,6,12,1]=>[12,10,9,8,7,2,11,5,4,3,6,1]
[12,7,5,8,4,9,3,10,2,11,1,6]=>[11,10,9,8,7,1,12,5,4,3,2,6]
[12,7,5,8,4,9,3,11,10,1,2,6]=>[10,1,9,8,7,5,11,2,4,12,3,6]
[11,7,5,8,4,10,9,2,3,6,12,1]=>[12,9,2,8,7,5,10,3,11,4,6,1]
[12,7,5,8,4,10,9,2,3,11,1,6]=>[11,9,2,8,7,1,10,3,12,4,5,6]
[12,7,5,8,4,11,9,2,10,1,3,6]=>[10,9,1,8,7,3,11,2,12,5,4,6]
[12,7,5,8,4,11,10,9,1,2,3,6]=>[9,1,2,8,7,3,10,5,11,12,4,6]
[10,7,5,9,8,3,4,6,11,2,12,1]=>[12,11,8,3,7,5,9,10,4,6,2,1]
[10,7,5,9,8,3,4,6,12,11,1,2]=>[11,1,8,3,7,5,9,10,4,6,12,2]
[11,7,5,9,8,3,4,10,2,6,12,1]=>[12,10,8,3,7,2,9,11,4,5,6,1]
[12,7,5,9,8,3,4,10,2,11,1,6]=>[11,10,8,3,7,1,9,12,4,5,2,6]
[12,7,5,9,8,3,4,11,10,1,2,6]=>[10,1,8,2,7,3,9,11,4,12,5,6]
[11,7,5,10,8,3,9,2,4,6,12,1]=>[12,9,8,2,7,4,10,11,5,3,6,1]
[12,7,5,10,8,3,9,2,4,11,1,6]=>[11,9,8,2,7,1,10,12,5,3,4,6]
[12,7,5,11,8,3,9,2,10,1,4,6]=>[10,9,8,1,7,4,11,12,5,2,3,6]
[12,7,5,11,8,3,10,9,1,2,4,6]=>[9,1,8,2,7,5,10,11,12,3,4,6]
[11,7,5,10,9,8,2,3,4,6,12,1]=>[12,8,2,3,7,4,9,10,11,5,6,1]
[12,7,5,10,9,8,2,3,4,11,1,6]=>[11,8,2,3,7,1,9,10,12,5,4,6]
[12,7,5,11,9,8,2,3,10,1,4,6]=>[10,8,2,1,7,4,9,11,12,3,5,6]
[12,7,5,11,10,8,2,9,1,3,4,6]=>[9,8,1,3,7,4,10,11,2,12,5,6]
[12,7,5,11,10,9,8,1,2,3,4,6]=>[8,1,2,3,7,5,9,10,11,12,4,6]
[9,8,7,4,5,6,10,3,11,2,12,1]=>[12,11,10,7,4,5,8,9,6,3,2,1]
[9,8,7,4,5,6,10,3,12,11,1,2]=>[11,1,10,7,4,5,8,9,6,3,12,2]
[9,8,7,4,5,6,11,10,2,3,12,1]=>[12,10,2,7,4,5,8,9,6,11,3,1]
[9,8,7,4,5,6,12,10,2,11,1,3]=>[11,10,1,7,4,5,8,9,6,12,2,3]
[9,8,7,4,5,6,12,11,10,1,2,3]=>[10,1,2,7,4,5,8,9,6,11,12,3]
[10,8,7,4,5,9,3,6,11,2,12,1]=>[12,11,9,7,4,3,8,10,5,6,2,1]
[10,8,7,4,5,9,3,6,12,11,1,2]=>[11,1,9,7,4,3,8,10,5,6,12,2]
[11,8,7,4,5,9,3,10,2,6,12,1]=>[12,10,9,7,4,2,8,11,5,3,6,1]
[12,8,7,4,5,9,3,10,2,11,1,6]=>[11,10,9,7,4,1,8,12,5,3,2,6]
[12,8,7,4,5,9,3,11,10,1,2,6]=>[10,1,9,7,2,4,8,11,5,12,3,6]
[11,8,7,4,5,10,9,2,3,6,12,1]=>[12,9,2,7,3,4,8,10,11,5,6,1]
[12,8,7,4,5,10,9,2,3,11,1,6]=>[11,9,2,7,3,1,8,10,12,5,4,6]
[12,8,7,4,5,11,9,2,10,1,3,6]=>[10,9,1,7,2,3,8,11,12,4,5,6]
[12,8,7,4,5,11,10,9,1,2,3,6]=>[9,1,2,7,4,3,8,10,11,12,5,6]
[10,9,7,4,8,3,5,6,11,2,12,1]=>[12,11,8,7,3,5,9,4,10,6,2,1]
[10,9,7,4,8,3,5,6,12,11,1,2]=>[11,1,8,7,3,5,9,4,10,6,12,2]
[11,9,7,4,8,3,5,10,2,6,12,1]=>[12,10,8,7,3,2,9,4,11,5,6,1]
[12,9,7,4,8,3,5,10,2,11,1,6]=>[11,10,8,7,3,1,9,4,12,5,2,6]
[12,9,7,4,8,3,5,11,10,1,2,6]=>[10,1,8,7,3,4,9,2,11,12,5,6]
[11,10,7,4,8,3,9,2,5,6,12,1]=>[12,9,8,7,2,5,10,4,3,11,6,1]
[12,10,7,4,8,3,9,2,5,11,1,6]=>[11,9,8,7,2,1,10,4,3,12,5,6]
[12,11,7,4,8,3,9,2,10,1,5,6]=>[10,9,8,7,1,5,11,4,3,2,12,6]
[12,11,7,4,8,3,10,9,1,2,5,6]=>[9,1,8,7,4,5,10,2,11,3,12,6]
[11,10,7,4,9,8,2,3,5,6,12,1]=>[12,8,2,7,4,5,9,10,3,11,6,1]
[12,10,7,4,9,8,2,3,5,11,1,6]=>[11,8,2,7,4,1,9,10,3,12,5,6]
[12,11,7,4,9,8,2,3,10,1,5,6]=>[10,8,2,7,1,5,9,11,3,4,12,6]
[12,11,7,4,10,8,2,9,1,3,5,6]=>[9,8,1,7,3,5,10,11,4,2,12,6]
[12,11,7,4,10,9,8,1,2,3,5,6]=>[8,1,2,7,3,5,9,10,11,4,12,6]
[10,9,8,7,3,4,5,6,11,2,12,1]=>[12,11,7,3,4,5,8,9,10,6,2,1]
[10,9,8,7,3,4,5,6,12,11,1,2]=>[11,1,7,3,4,5,8,9,10,6,12,2]
[11,9,8,7,3,4,5,10,2,6,12,1]=>[12,10,7,3,4,2,8,9,11,5,6,1]
[12,9,8,7,3,4,5,10,2,11,1,6]=>[11,10,7,3,4,1,8,9,12,5,2,6]
[12,9,8,7,3,4,5,11,10,1,2,6]=>[10,1,7,2,4,3,8,9,11,12,5,6]
[11,10,8,7,3,4,9,2,5,6,12,1]=>[12,9,7,3,2,5,8,10,4,11,6,1]
[12,10,8,7,3,4,9,2,5,11,1,6]=>[11,9,7,3,2,1,8,10,4,12,5,6]
[12,11,8,7,3,4,9,2,10,1,5,6]=>[10,9,7,3,1,5,8,11,4,2,12,6]
[12,11,8,7,3,4,10,9,1,2,5,6]=>[9,1,7,2,3,5,8,10,11,4,12,6]
[11,10,9,7,3,8,2,4,5,6,12,1]=>[12,8,7,2,4,5,9,3,10,11,6,1]
[12,10,9,7,3,8,2,4,5,11,1,6]=>[11,8,7,2,4,1,9,3,10,12,5,6]
[12,11,9,7,3,8,2,4,10,1,5,6]=>[10,8,7,2,1,5,9,3,11,4,12,6]
[12,11,10,7,3,8,2,9,1,4,5,6]=>[9,8,7,1,4,5,10,3,2,11,12,6]
[12,11,10,7,3,9,8,1,2,4,5,6]=>[8,1,7,3,4,5,9,10,2,11,12,6]
[11,10,9,8,7,2,3,4,5,6,12,1]=>[12,7,2,3,4,5,8,9,10,11,6,1]
[12,10,9,8,7,2,3,4,5,11,1,6]=>[11,7,2,3,4,1,8,9,10,12,5,6]
[12,11,9,8,7,2,3,4,10,1,5,6]=>[10,7,2,3,1,5,8,9,11,4,12,6]
[12,11,10,8,7,2,3,9,1,4,5,6]=>[9,7,2,1,4,5,8,10,3,11,12,6]
[12,11,10,9,7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,9,2,10,11,12,6]
[12,11,9,5,10,7,1,2,4,8,3,6]=>[7,1,10,3,8,5,9,4,11,2,12,6]
[11,9,5,12,10,7,1,2,4,8,3,6]=>[7,1,10,2,8,5,9,4,12,11,3,6]
[10,7,1,2,4,9,5,12,11,8,3,6]=>[7,1,10,3,8,2,11,9,4,5,12,6]
[12,10,7,1,2,4,9,5,11,8,3,6]=>[7,1,10,2,8,3,12,9,4,11,5,6]
[10,7,1,2,4,12,9,5,11,8,3,6]=>[7,1,10,3,8,2,11,9,12,4,5,6]
[8,3,7,1,2,4,12,11,9,5,10,6]=>[7,1,8,2,9,11,3,4,10,6,12,5]
[8,3,7,1,2,4,11,9,5,12,10,6]=>[7,1,8,2,9,11,3,4,10,12,6,5]
[12,11,8,3,7,1,2,4,9,5,10,6]=>[7,1,8,2,11,9,5,10,4,6,12,3]
[11,8,3,7,1,2,4,9,5,12,10,6]=>[7,1,8,2,11,9,5,10,4,12,6,3]
[12,9,5,11,8,3,7,1,2,4,10,6]=>[7,1,8,2,11,9,5,12,10,4,3,6]
[8,3,12,11,7,1,2,4,9,5,10,6]=>[7,1,11,3,8,9,10,5,4,6,12,2]
[8,3,11,7,1,2,4,9,5,12,10,6]=>[7,1,11,3,8,9,10,5,4,12,6,2]
[8,3,12,9,5,11,7,1,2,4,10,6]=>[7,1,11,3,8,9,12,5,10,4,2,6]
[12,8,3,9,5,11,7,1,2,4,10,6]=>[7,1,11,3,8,12,9,10,6,4,2,5]
[10,7,1,2,5,12,11,9,4,8,3,6]=>[7,1,10,8,3,4,9,2,11,5,12,6]
[12,10,7,1,2,5,11,9,4,8,3,6]=>[7,1,10,8,2,4,9,3,12,11,5,6]
[9,4,10,7,1,2,5,12,11,8,3,6]=>[7,1,10,8,3,2,11,9,4,5,12,6]
[9,4,12,10,7,1,2,5,11,8,3,6]=>[7,1,10,8,2,3,12,9,4,11,5,6]
[12,9,4,10,7,1,2,5,11,8,3,6]=>[7,1,10,8,3,2,11,9,12,4,5,6]
[12,11,9,4,8,3,7,1,2,5,10,6]=>[7,1,8,9,2,11,3,6,10,5,12,4]
[11,9,4,8,3,7,1,2,5,12,10,6]=>[7,1,8,9,2,11,3,6,10,12,5,4]
[9,4,12,11,8,3,7,1,2,5,10,6]=>[7,1,8,11,2,9,4,10,6,5,12,3]
[9,4,11,8,3,7,1,2,5,12,10,6]=>[7,1,8,11,2,9,4,10,6,12,5,3]
[11,8,3,7,1,2,5,12,9,4,10,6]=>[7,1,8,11,2,9,4,12,10,3,5,6]
[8,3,9,4,12,11,7,1,2,5,10,6]=>[7,1,11,8,3,9,10,4,6,5,12,2]
[8,3,9,4,11,7,1,2,5,12,10,6]=>[7,1,11,8,3,9,10,4,6,12,5,2]
[8,3,11,7,1,2,5,12,9,4,10,6]=>[7,1,11,8,3,9,12,4,10,2,5,6]
[11,7,1,2,5,12,8,3,9,4,10,6]=>[7,1,11,8,3,12,9,10,6,2,5,4]
[10,5,12,11,9,4,8,3,7,1,2,6]=>[7,1,8,9,11,2,3,5,10,4,12,6]
[12,10,5,11,9,4,8,3,7,1,2,6]=>[7,1,8,9,11,2,3,5,10,12,4,6]
[9,4,10,5,12,11,8,3,7,1,2,6]=>[7,1,8,11,9,2,4,10,5,3,12,6]
[9,4,12,10,5,11,8,3,7,1,2,6]=>[7,1,8,11,9,2,4,10,5,12,3,6]
[12,9,4,10,5,11,8,3,7,1,2,6]=>[7,1,8,11,9,2,4,12,10,3,5,6]
[8,3,9,4,10,5,12,11,7,1,2,6]=>[7,1,11,8,9,3,10,4,5,2,12,6]
[8,3,9,4,12,10,5,11,7,1,2,6]=>[7,1,11,8,9,3,10,4,5,12,2,6]
[8,3,12,9,4,10,5,11,7,1,2,6]=>[7,1,11,8,9,3,12,4,10,2,5,6]
[12,8,3,9,4,10,5,11,7,1,2,6]=>[7,1,11,8,12,3,9,10,5,2,4,6]
[7,1,2,8,3,9,4,10,5,12,11,6]=>[7,1,8,9,10,11,2,3,4,5,12,6]
[7,1,2,8,3,9,4,12,10,5,11,6]=>[7,1,8,9,10,12,2,3,4,11,6,5]
[7,1,2,8,3,12,9,4,10,5,11,6]=>[7,1,8,9,12,10,2,3,11,5,6,4]
[7,1,2,12,8,3,9,4,10,5,11,6]=>[7,1,8,12,9,10,2,11,4,5,6,3]
[12,7,1,2,8,3,9,4,10,5,11,6]=>[7,1,12,8,9,10,11,3,4,5,6,2]
[8,2,4,12,11,9,5,10,7,1,3,6]=>[7,10,2,1,8,3,9,5,11,4,12,6]
[8,2,4,11,9,5,12,10,7,1,3,6]=>[7,10,1,2,8,3,9,5,12,11,4,6]
[12,11,8,2,4,9,5,10,7,1,3,6]=>[7,10,2,1,8,3,11,9,4,5,12,6]
[11,8,2,4,9,5,12,10,7,1,3,6]=>[7,10,1,2,8,3,12,9,4,11,5,6]
[12,9,5,11,8,2,4,10,7,1,3,6]=>[7,10,2,1,8,3,11,9,12,4,5,6]
[7,1,3,8,2,4,12,11,9,5,10,6]=>[7,8,1,2,9,11,3,4,10,6,12,5]
[7,1,3,8,2,4,11,9,5,12,10,6]=>[7,8,1,2,9,11,3,4,10,12,6,5]
[7,1,3,12,11,8,2,4,9,5,10,6]=>[7,8,1,2,11,9,3,10,5,6,12,4]
[7,1,3,11,8,2,4,9,5,12,10,6]=>[7,8,1,2,11,9,3,10,5,12,6,4]
[7,1,3,12,9,5,11,8,2,4,10,6]=>[7,8,1,2,11,9,3,12,10,5,4,6]
[12,11,7,1,3,8,2,4,9,5,10,6]=>[7,11,2,1,8,9,10,3,5,6,12,4]
[11,7,1,3,8,2,4,9,5,12,10,6]=>[7,11,2,1,8,9,10,3,5,12,6,4]
[12,9,5,11,7,1,3,8,2,4,10,6]=>[7,11,2,1,8,9,12,3,10,5,4,6]
[11,7,1,3,9,5,12,8,2,4,10,6]=>[7,11,2,1,8,12,9,10,3,6,4,5]
[12,11,9,4,8,2,5,10,7,1,3,6]=>[7,10,2,8,4,3,9,1,11,5,12,6]
[11,9,4,8,2,5,12,10,7,1,3,6]=>[7,10,1,8,4,3,9,2,12,11,5,6]
[9,4,12,11,8,2,5,10,7,1,3,6]=>[7,10,2,8,1,3,11,9,4,5,12,6]
[9,4,11,8,2,5,12,10,7,1,3,6]=>[7,10,1,8,2,3,12,9,4,11,5,6]
[11,8,2,5,12,9,4,10,7,1,3,6]=>[7,10,2,8,1,3,11,9,12,4,5,6]
[7,1,3,12,11,9,4,8,2,5,10,6]=>[7,8,1,9,2,11,3,6,10,5,12,4]
[7,1,3,11,9,4,8,2,5,12,10,6]=>[7,8,1,9,2,11,3,6,10,12,5,4]
[7,1,3,9,4,12,11,8,2,5,10,6]=>[7,8,1,11,4,9,3,10,6,5,12,2]
[7,1,3,9,4,11,8,2,5,12,10,6]=>[7,8,1,11,4,9,3,10,6,12,5,2]
[7,1,3,11,8,2,5,12,9,4,10,6]=>[7,8,1,11,4,9,3,12,10,2,5,6]
[9,4,12,11,7,1,3,8,2,5,10,6]=>[7,11,2,8,4,9,10,3,6,5,12,1]
[9,4,11,7,1,3,8,2,5,12,10,6]=>[7,11,2,8,4,9,10,3,6,12,5,1]
[11,7,1,3,8,2,5,12,9,4,10,6]=>[7,11,2,8,4,9,12,3,10,1,5,6]
[12,8,2,5,11,7,1,3,9,4,10,6]=>[7,11,2,8,4,12,9,10,3,1,6,5]
[7,1,3,10,5,12,11,9,4,8,2,6]=>[7,8,1,9,11,2,3,5,10,4,12,6]
[7,1,3,12,10,5,11,9,4,8,2,6]=>[7,8,1,9,11,2,3,5,10,12,4,6]
[7,1,3,9,4,10,5,12,11,8,2,6]=>[7,8,1,11,9,4,3,10,5,2,12,6]
[7,1,3,9,4,12,10,5,11,8,2,6]=>[7,8,1,11,9,4,3,10,5,12,2,6]
[7,1,3,12,9,4,10,5,11,8,2,6]=>[7,8,1,11,9,4,3,12,10,2,5,6]
[9,4,10,5,12,11,7,1,3,8,2,6]=>[7,11,2,8,9,4,10,3,5,1,12,6]
[9,4,12,10,5,11,7,1,3,8,2,6]=>[7,11,2,8,9,4,10,3,5,12,1,6]
[12,9,4,10,5,11,7,1,3,8,2,6]=>[7,11,2,8,9,4,12,3,10,1,5,6]
[11,7,1,3,9,4,10,5,12,8,2,6]=>[7,11,2,8,12,5,9,10,3,1,4,6]
[8,2,7,1,3,9,4,10,5,12,11,6]=>[7,8,1,9,10,11,2,3,4,5,12,6]
[8,2,7,1,3,9,4,12,10,5,11,6]=>[7,8,1,9,10,12,2,3,4,11,6,5]
[8,2,7,1,3,12,9,4,10,5,11,6]=>[7,8,1,9,12,10,2,3,11,5,6,4]
[12,8,2,7,1,3,9,4,10,5,11,6]=>[7,8,1,12,9,10,4,11,3,5,6,2]
[8,2,12,7,1,3,9,4,10,5,11,6]=>[7,12,2,8,9,10,11,4,3,5,6,1]
[10,7,1,4,8,2,5,12,11,9,3,6]=>[7,10,8,2,3,1,9,4,11,5,12,6]
[12,10,7,1,4,8,2,5,11,9,3,6]=>[7,10,8,1,3,2,9,4,12,11,5,6]
[12,11,8,2,5,10,7,1,4,9,3,6]=>[7,10,8,2,1,3,11,9,4,5,12,6]
[11,8,2,5,12,10,7,1,4,9,3,6]=>[7,10,8,1,2,3,12,9,4,11,5,6]
[10,7,1,4,11,8,2,5,12,9,3,6]=>[7,10,8,2,1,3,11,9,12,4,5,6]
[12,11,9,3,7,1,4,8,2,5,10,6]=>[7,8,9,1,2,11,6,4,10,5,12,3]
[11,9,3,7,1,4,8,2,5,12,10,6]=>[7,8,9,1,2,11,6,4,10,12,5,3]
[9,3,7,1,4,12,11,8,2,5,10,6]=>[7,8,11,1,3,9,6,10,4,5,12,2]
[9,3,7,1,4,11,8,2,5,12,10,6]=>[7,8,11,1,3,9,6,10,4,12,5,2]
[11,8,2,5,12,9,3,7,1,4,10,6]=>[7,8,11,1,3,9,2,12,10,4,5,6]
[12,11,7,1,4,9,3,8,2,5,10,6]=>[7,11,8,2,3,9,10,6,4,5,12,1]
[11,7,1,4,9,3,8,2,5,12,10,6]=>[7,11,8,2,3,9,10,6,4,12,5,1]
[12,9,3,8,2,5,11,7,1,4,10,6]=>[7,11,8,2,3,9,12,1,10,4,5,6]
[9,3,12,8,2,5,11,7,1,4,10,6]=>[7,11,8,2,3,12,9,10,1,4,6,5]
[10,5,12,11,9,3,7,1,4,8,2,6]=>[7,8,9,1,11,2,5,4,10,3,12,6]
[12,10,5,11,9,3,7,1,4,8,2,6]=>[7,8,9,1,11,2,5,4,10,12,3,6]
[9,3,7,1,4,10,5,12,11,8,2,6]=>[7,8,11,1,9,3,5,10,4,2,12,6]
[9,3,7,1,4,12,10,5,11,8,2,6]=>[7,8,11,1,9,3,5,10,4,12,2,6]
[12,9,3,7,1,4,10,5,11,8,2,6]=>[7,8,11,1,9,3,2,12,10,4,5,6]
[10,5,12,11,7,1,4,9,3,8,2,6]=>[7,11,8,2,9,3,10,5,4,1,12,6]
[12,10,5,11,7,1,4,9,3,8,2,6]=>[7,11,8,2,9,3,10,5,4,12,1,6]
[11,7,1,4,10,5,12,9,3,8,2,6]=>[7,11,8,2,9,3,12,1,10,4,5,6]
[9,3,11,7,1,4,10,5,12,8,2,6]=>[7,11,8,2,12,5,9,10,1,4,3,6]
[9,3,8,2,7,1,4,10,5,12,11,6]=>[7,8,9,1,10,11,2,3,4,5,12,6]
[9,3,8,2,7,1,4,12,10,5,11,6]=>[7,8,9,1,10,12,2,3,4,11,6,5]
[12,9,3,8,2,7,1,4,10,5,11,6]=>[7,8,9,1,12,10,2,5,11,4,6,3]
[9,3,12,8,2,7,1,4,10,5,11,6]=>[7,8,12,1,9,10,3,11,5,4,6,2]
[8,2,9,3,12,7,1,4,10,5,11,6]=>[7,12,8,2,9,10,11,3,5,4,6,1]
[12,11,9,3,7,1,5,10,4,8,2,6]=>[7,8,9,11,1,2,4,3,10,5,12,6]
[11,9,3,7,1,5,12,10,4,8,2,6]=>[7,8,9,11,1,2,4,3,10,12,5,6]
[10,4,9,3,7,1,5,12,11,8,2,6]=>[7,8,11,9,1,3,4,10,2,5,12,6]
[12,10,4,9,3,7,1,5,11,8,2,6]=>[7,8,11,9,1,3,4,10,2,12,5,6]
[10,4,12,9,3,7,1,5,11,8,2,6]=>[7,8,11,9,1,3,2,12,10,4,5,6]
[12,11,7,1,5,10,4,9,3,8,2,6]=>[7,11,8,9,2,3,10,4,1,5,12,6]
[11,7,1,5,12,10,4,9,3,8,2,6]=>[7,11,8,9,2,3,10,4,1,12,5,6]
[10,4,11,7,1,5,12,9,3,8,2,6]=>[7,11,8,9,2,3,12,1,10,4,5,6]
[9,3,10,4,11,7,1,5,12,8,2,6]=>[7,11,8,12,2,4,9,10,1,3,5,6]
[10,4,9,3,8,2,7,1,5,12,11,6]=>[7,8,9,10,1,11,2,3,4,5,12,6]
[12,10,4,9,3,8,2,7,1,5,11,6]=>[7,8,9,10,1,12,2,3,6,11,5,4]
[10,4,12,9,3,8,2,7,1,5,11,6]=>[7,8,9,12,1,10,2,4,11,6,5,3]
[9,3,10,4,12,8,2,7,1,5,11,6]=>[7,8,12,9,1,10,3,11,4,6,5,2]
[8,2,9,3,10,4,12,7,1,5,11,6]=>[7,12,8,9,2,10,11,3,4,6,5,1]
[12,11,5,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,11,1,2,3,4,5,12,6]
[11,5,12,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,12,1,2,3,5,11,4,6]
[10,4,11,5,12,9,3,8,2,7,1,6]=>[7,8,9,12,10,1,2,4,11,5,3,6]
[9,3,10,4,11,5,12,8,2,7,1,6]=>[7,8,12,9,10,1,3,11,4,5,2,6]
[8,2,9,3,10,4,11,5,12,7,1,6]=>[7,12,8,9,10,2,11,3,4,5,1,6]
[8,7,9,6,10,5,11,4,12,3,2,1]=>[2,3,12,11,10,9,8,7,6,5,4,1]
[8,7,9,6,10,5,11,4,3,2,12,1]=>[12,3,4,11,10,9,8,7,6,5,2,1]
[8,7,9,6,10,5,12,4,2,11,3,1]=>[3,11,4,12,10,9,8,7,6,5,1,2]
[9,8,10,7,11,6,12,5,4,3,2,1]=>[2,3,4,5,12,11,10,9,8,7,6,1]
[8,7,9,6,10,5,4,3,11,2,12,1]=>[12,11,4,5,10,9,8,7,6,3,2,1]
[9,8,10,7,11,6,5,4,12,3,2,1]=>[2,3,12,5,6,11,10,9,8,7,4,1]
[8,7,9,6,11,5,3,10,4,2,12,1]=>[12,4,10,5,11,9,8,7,6,2,3,1]
[8,7,9,6,12,5,3,10,2,11,4,1]=>[4,11,10,5,12,9,8,7,6,1,3,2]
[9,8,10,7,12,6,4,11,5,3,2,1]=>[2,3,5,11,6,12,10,9,8,7,1,4]
[9,8,10,7,11,6,5,4,3,2,12,1]=>[12,3,4,5,6,11,10,9,8,7,2,1]
[9,8,10,7,12,6,5,4,2,11,3,1]=>[3,11,4,5,6,12,10,9,8,7,1,2]
[9,8,10,7,12,11,5,2,6,4,3,1]=>[3,4,6,5,11,2,10,9,8,7,12,1]
[10,9,11,8,12,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,12,11,10,9,8,1]
[8,7,9,6,5,4,10,3,11,2,12,1]=>[12,11,10,5,6,9,8,7,4,3,2,1]
[9,8,10,7,6,5,11,4,12,3,2,1]=>[2,3,12,11,6,7,10,9,8,5,4,1]
[9,8,10,7,6,5,11,4,3,2,12,1]=>[12,3,4,11,6,7,10,9,8,5,2,1]
[9,8,10,7,6,5,12,4,2,11,3,1]=>[3,11,4,12,6,7,10,9,8,5,1,2]
[10,9,11,8,7,6,12,5,4,3,2,1]=>[2,3,4,5,12,7,8,11,10,9,6,1]
[8,7,10,6,4,9,5,3,11,2,12,1]=>[12,11,5,9,6,10,8,7,3,4,2,1]
[9,8,11,7,5,10,6,4,12,3,2,1]=>[2,3,12,6,10,7,11,9,8,4,5,1]
[8,7,11,6,4,9,3,10,5,2,12,1]=>[12,5,10,9,6,11,8,7,2,4,3,1]
[8,7,12,6,4,9,3,10,2,11,5,1]=>[5,11,10,9,6,12,8,7,1,4,3,2]
[9,8,12,7,5,10,4,11,6,3,2,1]=>[2,3,6,11,10,7,12,9,8,1,5,4]
[9,8,11,7,5,10,6,4,3,2,12,1]=>[12,3,4,6,10,7,11,9,8,2,5,1]
[9,8,12,7,5,10,6,4,2,11,3,1]=>[3,11,4,6,10,7,12,9,8,1,5,2]
[9,8,12,7,5,11,6,2,10,4,3,1]=>[3,4,10,6,11,7,12,9,8,5,2,1]
[10,9,12,8,6,11,7,5,4,3,2,1]=>[2,3,4,5,7,11,8,12,10,9,1,6]
[9,8,10,7,6,5,4,3,11,2,12,1]=>[12,11,4,5,6,7,10,9,8,3,2,1]
[10,9,11,8,7,6,5,4,12,3,2,1]=>[2,3,12,5,6,7,8,11,10,9,4,1]
[9,8,11,7,6,5,3,10,4,2,12,1]=>[12,4,10,5,6,7,11,9,8,2,3,1]
[9,8,12,7,6,5,3,10,2,11,4,1]=>[4,11,10,5,6,7,12,9,8,1,3,2]
[10,9,12,8,7,6,4,11,5,3,2,1]=>[2,3,5,11,6,7,8,12,10,9,1,4]
[9,8,11,10,6,3,7,5,4,2,12,1]=>[12,4,5,7,6,10,3,9,8,11,2,1]
[9,8,12,10,6,3,7,5,2,11,4,1]=>[4,11,5,7,6,10,3,9,8,12,1,2]
[9,8,12,11,6,3,7,2,10,5,4,1]=>[4,5,10,7,6,11,2,9,8,1,12,3]
[10,9,12,11,7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,11,4,10,9,12,1]
[10,9,11,8,7,6,5,4,3,2,12,1]=>[12,3,4,5,6,7,8,11,10,9,2,1]
[10,9,12,8,7,6,5,4,2,11,3,1]=>[3,11,4,5,6,7,8,12,10,9,1,2]
[10,9,12,11,7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,11,2,10,9,12,1]
[10,9,12,11,8,6,2,7,5,4,3,1]=>[3,4,5,7,6,8,1,11,10,9,12,2]
[11,10,12,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,12,11,10,1]
[8,7,6,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,6,7,8,5,4,3,2,1]
[9,8,7,6,10,5,11,4,12,3,2,1]=>[2,3,12,11,10,7,8,9,6,5,4,1]
[9,8,7,6,10,5,11,4,3,2,12,1]=>[12,3,4,11,10,7,8,9,6,5,2,1]
[9,8,7,6,10,5,12,4,2,11,3,1]=>[3,11,4,12,10,7,8,9,6,5,1,2]
[10,9,8,7,11,6,12,5,4,3,2,1]=>[2,3,4,5,12,11,8,9,10,7,6,1]
[9,8,7,6,10,5,4,3,11,2,12,1]=>[12,11,4,5,10,7,8,9,6,3,2,1]
[10,9,8,7,11,6,5,4,12,3,2,1]=>[2,3,12,5,6,11,8,9,10,7,4,1]
[9,8,7,6,11,5,3,10,4,2,12,1]=>[12,4,10,5,11,7,8,9,6,2,3,1]
[9,8,7,6,12,5,3,10,2,11,4,1]=>[4,11,10,5,12,7,8,9,6,1,3,2]
[10,9,8,7,12,6,4,11,5,3,2,1]=>[2,3,5,11,6,12,8,9,10,7,1,4]
[10,9,8,7,11,6,5,4,3,2,12,1]=>[12,3,4,5,6,11,8,9,10,7,2,1]
[10,9,8,7,12,6,5,4,2,11,3,1]=>[3,11,4,5,6,12,8,9,10,7,1,2]
[10,9,8,7,12,11,5,2,6,4,3,1]=>[3,4,6,5,11,2,8,9,10,7,12,1]
[11,10,9,8,12,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,12,9,10,11,8,1]
[9,7,5,8,6,4,10,3,11,2,12,1]=>[12,11,10,6,8,7,9,4,5,3,2,1]
[10,8,6,9,7,5,11,4,12,3,2,1]=>[2,3,12,11,7,9,8,10,5,6,4,1]
[10,8,6,9,7,5,11,4,3,2,12,1]=>[12,3,4,11,7,9,8,10,5,6,2,1]
[10,8,6,9,7,5,12,4,2,11,3,1]=>[3,11,4,12,7,9,8,10,5,6,1,2]
[11,9,7,10,8,6,12,5,4,3,2,1]=>[2,3,4,5,12,8,10,9,11,6,7,1]
[10,7,5,8,4,9,6,3,11,2,12,1]=>[12,11,6,9,8,7,10,3,5,4,2,1]
[11,8,6,9,5,10,7,4,12,3,2,1]=>[2,3,12,7,10,9,8,11,4,6,5,1]
[11,7,5,8,4,9,3,10,6,2,12,1]=>[12,6,10,9,8,7,11,2,5,4,3,1]
[12,7,5,8,4,9,3,10,2,11,6,1]=>[6,11,10,9,8,7,12,1,5,4,3,2]
[12,8,6,9,5,10,4,11,7,3,2,1]=>[2,3,7,11,10,9,8,12,1,6,5,4]
[11,8,6,9,5,10,7,4,3,2,12,1]=>[12,3,4,7,10,9,8,11,2,6,5,1]
[12,8,6,9,5,10,7,4,2,11,3,1]=>[3,11,4,7,10,9,8,12,1,6,5,2]
[12,8,6,9,5,11,7,2,10,4,3,1]=>[3,4,10,7,11,9,8,12,2,5,6,1]
[12,9,7,10,6,11,8,5,4,3,2,1]=>[2,3,4,5,8,11,10,9,12,1,7,6]
[10,8,6,9,7,5,4,3,11,2,12,1]=>[12,11,4,5,7,9,8,10,3,6,2,1]
[11,9,7,10,8,6,5,4,12,3,2,1]=>[2,3,12,5,6,8,10,9,11,4,7,1]
[11,8,6,9,7,5,3,10,4,2,12,1]=>[12,4,10,5,7,9,8,11,2,6,3,1]
[12,8,6,9,7,5,3,10,2,11,4,1]=>[4,11,10,5,7,9,8,12,1,6,3,2]
[12,9,7,10,8,6,4,11,5,3,2,1]=>[2,3,5,11,6,8,10,9,12,1,7,4]
[11,8,6,10,7,3,9,5,4,2,12,1]=>[12,4,5,9,7,10,8,11,6,3,2,1]
[12,8,6,10,7,3,9,5,2,11,4,1]=>[4,11,5,9,7,10,8,12,6,3,1,2]
[12,8,6,11,7,3,9,2,10,5,4,1]=>[4,5,10,9,7,11,8,12,6,1,2,3]
[12,9,7,11,8,4,10,6,5,3,2,1]=>[2,3,5,6,10,8,11,9,12,7,4,1]
[11,9,7,10,8,6,5,4,3,2,12,1]=>[12,3,4,5,6,8,10,9,11,2,7,1]
[12,9,7,10,8,6,5,4,2,11,3,1]=>[3,11,4,5,6,8,10,9,12,1,7,2]
[12,9,7,11,8,6,5,2,10,4,3,1]=>[3,4,10,5,6,8,11,9,12,7,2,1]
[12,9,7,11,10,6,2,8,5,4,3,1]=>[3,4,5,8,6,10,9,7,11,12,1,2]
[12,10,8,11,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,11,10,12,1,8]
[9,8,7,6,5,4,10,3,11,2,12,1]=>[12,11,10,5,6,7,8,9,4,3,2,1]
[10,9,8,7,6,5,11,4,12,3,2,1]=>[2,3,12,11,6,7,8,9,10,5,4,1]
[10,9,8,7,6,5,11,4,3,2,12,1]=>[12,3,4,11,6,7,8,9,10,5,2,1]
[10,9,8,7,6,5,12,4,2,11,3,1]=>[3,11,4,12,6,7,8,9,10,5,1,2]
[11,10,9,8,7,6,12,5,4,3,2,1]=>[2,3,4,5,12,7,8,9,10,11,6,1]
[10,8,7,6,4,9,5,3,11,2,12,1]=>[12,11,5,9,6,7,8,10,3,4,2,1]
[11,9,8,7,5,10,6,4,12,3,2,1]=>[2,3,12,6,10,7,8,9,11,4,5,1]
[11,8,7,6,4,9,3,10,5,2,12,1]=>[12,5,10,9,6,7,8,11,2,4,3,1]
[12,8,7,6,4,9,3,10,2,11,5,1]=>[5,11,10,9,6,7,8,12,1,4,3,2]
[12,9,8,7,5,10,4,11,6,3,2,1]=>[2,3,6,11,10,7,8,9,12,1,5,4]
[11,9,8,7,5,10,6,4,3,2,12,1]=>[12,3,4,6,10,7,8,9,11,2,5,1]
[12,9,8,7,5,10,6,4,2,11,3,1]=>[3,11,4,6,10,7,8,9,12,1,5,2]
[12,9,8,7,5,11,6,2,10,4,3,1]=>[3,4,10,6,11,7,8,9,12,5,2,1]
[12,10,9,8,6,11,7,5,4,3,2,1]=>[2,3,4,5,7,11,8,9,10,12,1,6]
[10,9,7,4,8,6,5,3,11,2,12,1]=>[12,11,5,6,8,7,9,4,10,3,2,1]
[11,10,8,5,9,7,6,4,12,3,2,1]=>[2,3,12,6,7,9,8,10,5,11,4,1]
[11,9,7,4,8,6,3,10,5,2,12,1]=>[12,5,10,6,8,7,9,4,11,2,3,1]
[12,9,7,4,8,6,3,10,2,11,5,1]=>[5,11,10,6,8,7,9,4,12,1,3,2]
[12,10,8,5,9,7,4,11,6,3,2,1]=>[2,3,6,11,7,9,8,10,5,12,1,4]
[11,10,7,4,8,3,9,6,5,2,12,1]=>[12,5,6,9,8,7,10,3,2,11,4,1]
[12,10,7,4,8,3,9,6,2,11,5,1]=>[5,11,6,9,8,7,10,3,1,12,4,2]
[12,11,7,4,8,3,9,2,10,6,5,1]=>[5,6,10,9,8,7,11,2,1,4,12,3]
[12,11,8,5,9,4,10,7,6,3,2,1]=>[2,3,6,7,10,9,8,11,4,1,12,5]
[11,10,8,5,9,7,6,4,3,2,12,1]=>[12,3,4,6,7,9,8,10,5,11,2,1]
[12,10,8,5,9,7,6,4,2,11,3,1]=>[3,11,4,6,7,9,8,10,5,12,1,2]
[12,11,8,5,9,7,6,2,10,4,3,1]=>[3,4,10,6,7,9,8,11,5,2,12,1]
[12,11,8,5,10,7,2,9,6,4,3,1]=>[3,4,6,9,7,10,8,11,1,5,12,2]
[12,11,9,6,10,8,7,5,4,3,2,1]=>[2,3,4,5,7,8,10,9,11,6,12,1]
[10,9,8,7,6,5,4,3,11,2,12,1]=>[12,11,4,5,6,7,8,9,10,3,2,1]
[11,10,9,8,7,6,5,4,12,3,2,1]=>[2,3,12,5,6,7,8,9,10,11,4,1]
[11,9,8,7,6,5,3,10,4,2,12,1]=>[12,4,10,5,6,7,8,9,11,2,3,1]
[12,9,8,7,6,5,3,10,2,11,4,1]=>[4,11,10,5,6,7,8,9,12,1,3,2]
[12,10,9,8,7,6,4,11,5,3,2,1]=>[2,3,5,11,6,7,8,9,10,12,1,4]
[11,10,8,7,6,3,9,5,4,2,12,1]=>[12,4,5,9,6,7,8,10,3,11,2,1]
[12,10,8,7,6,3,9,5,2,11,4,1]=>[4,11,5,9,6,7,8,10,3,12,1,2]
[12,11,8,7,6,3,9,2,10,5,4,1]=>[4,5,10,9,6,7,8,11,2,1,12,3]
[12,11,9,8,7,4,10,6,5,3,2,1]=>[2,3,5,6,10,7,8,9,11,4,12,1]
[11,10,9,7,3,8,6,5,4,2,12,1]=>[12,4,5,6,8,7,9,2,10,11,3,1]
[12,10,9,7,3,8,6,5,2,11,4,1]=>[4,11,5,6,8,7,9,1,10,12,3,2]
[12,11,9,7,3,8,6,2,10,5,4,1]=>[4,5,10,6,8,7,9,1,11,2,12,3]
[12,11,10,7,3,8,2,9,6,5,4,1]=>[4,5,6,9,8,7,10,3,2,11,12,1]
[12,11,10,8,4,9,7,6,5,3,2,1]=>[2,3,5,6,7,9,8,10,1,11,12,4]
[11,10,9,8,7,6,5,4,3,2,12,1]=>[12,3,4,5,6,7,8,9,10,11,2,1]
[12,10,9,8,7,6,5,4,2,11,3,1]=>[3,11,4,5,6,7,8,9,10,12,1,2]
[12,11,9,8,7,6,5,2,10,4,3,1]=>[3,4,10,5,6,7,8,9,11,2,12,1]
[12,11,10,8,7,6,2,9,5,4,3,1]=>[3,4,5,9,6,7,8,10,1,11,12,2]
[12,11,10,9,7,2,8,6,5,4,3,1]=>[3,4,5,6,8,7,9,2,10,11,12,1]
[2,3,5,6,8,9,1,11,4,7,12,10]=>[9,2,3,11,5,6,4,8,1,12,7,10]
[2,3,5,6,8,1,9,11,4,12,7,10]=>[8,2,3,11,5,6,12,1,9,7,4,10]
[2,3,5,6,8,1,9,4,7,10,12,11]=>[8,2,3,9,5,6,4,1,7,10,12,11]
[2,3,5,6,1,8,9,10,4,12,7,11]=>[6,2,3,10,5,1,12,8,9,4,7,11]
[2,3,5,6,1,8,9,4,10,11,7,12]=>[6,2,3,9,5,1,11,8,4,10,7,12]
[2,3,5,6,9,1,11,4,7,12,8,10]=>[9,2,3,11,5,6,4,12,1,8,7,10]
[2,3,5,6,1,9,11,4,12,7,8,10]=>[6,2,3,11,5,1,12,7,9,8,4,10]
[2,3,5,6,1,9,4,7,8,10,12,11]=>[6,2,3,9,5,1,4,7,8,10,12,11]
[2,3,5,6,1,10,4,7,8,12,9,11]=>[6,2,3,10,5,1,4,7,12,8,9,11]
[2,3,5,1,6,7,9,10,4,12,8,11]=>[5,2,3,10,1,6,7,12,9,4,8,11]
[2,3,5,1,6,7,9,4,10,11,8,12]=>[5,2,3,9,1,6,7,11,4,10,8,12]
[2,3,5,1,6,7,10,4,12,8,9,11]=>[5,2,3,10,1,6,7,12,8,4,9,11]
[2,3,5,1,6,7,4,8,10,11,9,12]=>[5,2,3,7,1,6,4,8,11,10,9,12]
[2,3,5,1,6,7,4,8,11,9,10,12]=>[5,2,3,7,1,6,4,8,11,9,10,12]
[2,3,6,8,9,1,10,4,5,12,7,11]=>[9,2,3,10,4,6,12,8,1,5,7,11]
[2,3,6,8,1,9,10,4,12,5,7,11]=>[8,2,3,10,12,6,5,1,9,4,7,11]
[2,3,6,8,1,9,4,5,10,11,7,12]=>[8,2,3,9,4,6,11,1,5,10,7,12]
[2,3,6,1,8,9,10,4,11,5,7,12]=>[6,2,3,10,11,1,5,8,9,4,7,12]
[2,3,6,1,8,9,4,10,11,5,12,7]=>[6,2,3,9,11,1,12,8,4,10,5,7]
[2,3,6,9,1,11,4,5,12,7,8,10]=>[9,2,3,11,4,6,12,7,1,8,5,10]
[2,3,6,1,9,11,4,12,5,7,8,10]=>[6,2,3,11,12,1,5,7,9,8,4,10]
[2,3,7,9,1,10,4,5,12,6,8,11]=>[9,2,3,10,4,12,7,6,1,5,8,11]
[2,3,7,1,9,10,4,12,5,6,8,11]=>[7,2,3,10,12,5,1,6,9,4,8,11]
[2,3,6,1,9,4,5,7,8,10,12,11]=>[6,2,3,9,4,1,5,7,8,10,12,11]
[2,3,6,1,10,4,5,7,8,12,9,11]=>[6,2,3,10,4,1,5,7,12,8,9,11]
[2,3,7,1,9,4,5,6,10,11,8,12]=>[7,2,3,9,4,5,1,11,6,10,8,12]
[2,3,7,1,10,4,5,6,12,8,9,11]=>[7,2,3,10,4,5,1,12,8,6,9,11]
[2,3,8,1,10,4,5,6,11,7,9,12]=>[8,2,3,10,4,5,11,1,7,6,9,12]
[2,3,1,4,6,7,9,10,5,12,8,11]=>[3,2,1,4,10,6,7,12,9,5,8,11]
[2,3,1,4,6,7,9,5,10,11,8,12]=>[3,2,1,4,9,6,7,11,5,10,8,12]
[2,3,1,4,6,7,10,5,12,8,9,11]=>[3,2,1,4,10,6,7,12,8,5,9,11]
[2,3,1,4,6,7,5,8,10,11,9,12]=>[3,2,1,4,7,6,5,8,11,10,9,12]
[2,3,1,4,6,7,5,8,11,9,10,12]=>[3,2,1,4,7,6,5,8,11,9,10,12]
[2,3,1,4,7,9,10,5,11,6,8,12]=>[3,2,1,4,10,11,7,6,9,5,8,12]
[2,3,1,4,7,9,5,10,11,6,12,8]=>[3,2,1,4,9,11,7,12,5,10,6,8]
[2,3,1,4,7,10,5,12,6,8,9,11]=>[3,2,1,4,10,12,7,6,8,5,9,11]
[2,3,1,4,8,10,5,11,6,7,9,12]=>[3,2,1,4,10,11,6,8,7,5,9,12]
[2,3,1,4,7,5,6,8,10,11,9,12]=>[3,2,1,4,7,5,6,8,11,10,9,12]
[2,3,1,4,7,5,6,8,11,9,10,12]=>[3,2,1,4,7,5,6,8,11,9,10,12]
[2,3,1,4,8,5,6,10,11,7,12,9]=>[3,2,1,4,8,5,11,6,12,10,7,9]
[2,3,1,4,8,5,6,11,7,9,10,12]=>[3,2,1,4,8,5,11,6,7,9,10,12]
[2,3,1,4,9,5,6,11,7,8,12,10]=>[3,2,1,4,9,5,11,7,6,12,8,10]
[3,5,6,7,9,1,10,2,4,12,8,11]=>[9,10,3,2,5,6,7,12,1,4,8,11]
[3,5,6,7,1,9,10,2,12,4,8,11]=>[7,10,3,12,5,6,1,4,9,2,8,11]
[3,5,6,7,1,9,2,4,10,11,8,12]=>[7,9,3,2,5,6,1,11,4,10,8,12]
[3,5,6,1,7,9,10,2,11,4,8,12]=>[6,10,3,11,5,1,7,4,9,2,8,12]
[3,5,6,1,7,9,2,10,11,4,12,8]=>[6,9,3,11,5,1,7,12,2,10,4,8]
[3,5,6,7,1,10,2,4,12,8,9,11]=>[7,10,3,2,5,6,1,12,8,4,9,11]
[3,5,6,1,7,10,2,12,4,8,9,11]=>[6,10,3,12,5,1,7,4,8,2,9,11]
[3,5,6,1,7,2,4,8,10,11,9,12]=>[6,7,3,2,5,1,4,8,11,10,9,12]
[3,5,6,1,7,2,4,8,11,9,10,12]=>[6,7,3,2,5,1,4,8,11,9,10,12]
[3,5,1,6,7,8,10,2,11,4,9,12]=>[5,10,3,11,1,6,7,8,4,2,9,12]
[3,5,1,6,7,8,2,10,11,4,12,9]=>[5,8,3,11,1,6,7,2,12,10,4,9]
[3,5,1,6,7,8,2,11,4,9,10,12]=>[5,8,3,11,1,6,7,2,4,9,10,12]
[3,5,1,6,7,2,8,9,11,4,12,10]=>[5,7,3,11,1,6,2,8,9,12,4,10]
[3,5,1,6,7,2,8,9,4,10,12,11]=>[5,7,3,9,1,6,2,8,4,10,12,11]
[3,6,8,9,1,10,2,4,11,5,7,12]=>[9,10,3,2,11,6,5,8,1,4,7,12]
[3,6,8,1,9,10,2,11,4,5,7,12]=>[8,10,3,11,4,6,5,1,9,2,7,12]
[3,6,8,1,9,2,4,10,11,5,12,7]=>[8,9,3,2,11,6,12,1,4,10,5,7]
[3,6,1,8,9,10,2,11,4,5,12,7]=>[6,10,3,11,4,1,12,8,9,2,5,7]
[3,6,1,8,9,2,10,11,4,12,5,7]=>[6,9,3,11,12,1,5,8,2,10,4,7]
[4,6,7,9,1,10,2,3,11,5,8,12]=>[9,10,2,4,11,6,7,5,1,3,8,12]
[4,6,7,1,9,10,2,11,3,5,8,12]=>[7,10,11,4,3,6,1,5,9,2,8,12]
[4,6,7,1,9,2,3,10,11,5,12,8]=>[7,9,2,4,11,6,1,12,3,10,5,8]
[4,6,1,7,9,10,2,11,3,5,12,8]=>[6,10,11,4,3,1,7,12,9,2,5,8]
[4,6,1,7,9,2,10,11,3,12,5,8]=>[6,9,11,4,12,1,7,5,2,10,3,8]
[3,6,9,1,11,2,4,12,5,7,8,10]=>[9,11,3,2,12,6,5,7,1,8,4,10]
[3,6,1,9,11,2,12,4,5,7,8,10]=>[6,11,3,12,4,1,5,7,9,8,2,10]
[3,7,9,1,10,2,4,12,5,6,8,11]=>[9,10,3,2,12,5,7,6,1,4,8,11]
[3,7,1,9,10,2,12,4,5,6,8,11]=>[7,10,3,12,4,5,1,6,9,2,8,11]
[4,6,7,1,10,2,3,12,5,8,9,11]=>[7,10,2,4,12,6,1,5,8,3,9,11]
[4,6,1,7,10,2,12,3,5,8,9,11]=>[6,10,12,4,3,1,7,5,8,2,9,11]
[4,7,9,1,10,2,3,11,5,6,8,12]=>[9,10,2,4,11,5,7,6,1,3,8,12]
[4,7,1,9,10,2,11,3,5,6,8,12]=>[7,10,11,4,3,5,1,6,9,2,8,12]
[5,7,8,1,10,2,3,11,4,6,9,12]=>[8,10,2,11,5,4,7,1,6,3,9,12]
[5,7,1,8,10,2,11,3,4,6,9,12]=>[7,10,11,3,5,4,1,8,6,2,9,12]
[3,6,1,9,2,4,5,7,8,10,12,11]=>[6,9,3,2,4,1,5,7,8,10,12,11]
[3,6,1,10,2,4,5,7,8,12,9,11]=>[6,10,3,2,4,1,5,7,12,8,9,11]
[3,7,1,9,2,4,5,6,10,11,8,12]=>[7,9,3,2,4,5,1,11,6,10,8,12]
[3,7,1,10,2,4,5,6,12,8,9,11]=>[7,10,3,2,4,5,1,12,8,6,9,11]
[3,8,1,10,2,4,5,6,11,7,9,12]=>[8,10,3,2,4,5,11,1,7,6,9,12]
[4,6,1,7,2,3,5,8,10,11,9,12]=>[6,7,2,4,3,1,5,8,11,10,9,12]
[4,6,1,7,2,3,5,8,11,9,10,12]=>[6,7,2,4,3,1,5,8,11,9,10,12]
[4,7,1,9,2,3,5,10,11,6,12,8]=>[7,9,2,4,3,11,1,12,5,10,6,8]
[5,7,1,8,2,3,4,10,11,6,12,9]=>[7,8,2,3,5,11,1,4,12,10,6,9]
[4,7,1,10,2,3,5,12,6,8,9,11]=>[7,10,2,4,3,12,1,6,8,5,9,11]
[4,8,1,10,2,3,5,11,6,7,9,12]=>[8,10,2,4,3,11,6,1,7,5,9,12]
[5,7,1,8,2,3,4,11,6,9,10,12]=>[7,8,2,3,5,11,1,4,6,9,10,12]
[5,8,1,10,2,3,4,11,6,7,12,9]=>[8,10,2,3,5,11,6,1,12,4,7,9]
[6,8,1,9,2,3,4,11,5,7,12,10]=>[8,9,2,3,11,6,5,1,4,12,7,10]
[3,1,2,4,6,7,9,10,5,12,8,11]=>[3,1,2,4,10,6,7,12,9,5,8,11]
[3,1,2,4,6,7,9,5,10,11,8,12]=>[3,1,2,4,9,6,7,11,5,10,8,12]
[3,1,2,4,6,7,10,5,12,8,9,11]=>[3,1,2,4,10,6,7,12,8,5,9,11]
[3,1,2,4,6,7,5,8,10,11,9,12]=>[3,1,2,4,7,6,5,8,11,10,9,12]
[3,1,2,4,6,7,5,8,11,9,10,12]=>[3,1,2,4,7,6,5,8,11,9,10,12]
[3,1,2,4,7,9,10,5,11,6,8,12]=>[3,1,2,4,10,11,7,6,9,5,8,12]
[3,1,2,4,7,9,5,10,11,6,12,8]=>[3,1,2,4,9,11,7,12,5,10,6,8]
[3,1,2,4,7,10,5,12,6,8,9,11]=>[3,1,2,4,10,12,7,6,8,5,9,11]
[3,1,2,4,8,10,5,11,6,7,9,12]=>[3,1,2,4,10,11,6,8,7,5,9,12]
[3,1,2,4,7,5,6,8,10,11,9,12]=>[3,1,2,4,7,5,6,8,11,10,9,12]
[3,1,2,4,7,5,6,8,11,9,10,12]=>[3,1,2,4,7,5,6,8,11,9,10,12]
[3,1,2,4,8,5,6,10,11,7,12,9]=>[3,1,2,4,8,5,11,6,12,10,7,9]
[3,1,2,4,8,5,6,11,7,9,10,12]=>[3,1,2,4,8,5,11,6,7,9,10,12]
[3,1,2,4,9,5,6,11,7,8,12,10]=>[3,1,2,4,9,5,11,7,6,12,8,10]
[4,1,2,6,7,8,10,3,11,5,9,12]=>[4,1,10,2,11,6,7,8,5,3,9,12]
[4,1,2,6,7,8,3,10,11,5,12,9]=>[4,1,8,2,11,6,7,3,12,10,5,9]
[4,1,2,6,7,8,3,11,5,9,10,12]=>[4,1,8,2,11,6,7,3,5,9,10,12]
[4,1,2,6,7,3,8,9,11,5,12,10]=>[4,1,7,2,11,6,3,8,9,12,5,10]
[4,1,2,6,7,3,8,9,5,10,12,11]=>[4,1,7,2,9,6,3,8,5,10,12,11]
[4,1,2,7,9,10,3,11,5,6,12,8]=>[4,1,10,2,11,5,7,12,9,3,6,8]
[4,1,2,7,9,3,10,11,5,12,6,8]=>[4,1,9,2,11,12,7,6,3,10,5,8]
[5,1,2,7,8,10,3,11,4,6,12,9]=>[5,1,10,11,2,4,7,8,12,3,6,9]
[5,1,2,7,8,3,10,11,4,12,6,9]=>[5,1,8,11,2,12,7,3,6,10,4,9]
[4,1,2,7,10,3,12,5,6,8,9,11]=>[4,1,10,2,12,5,7,6,8,3,9,11]
[4,1,2,8,10,3,11,5,6,7,9,12]=>[4,1,10,2,11,5,6,8,7,3,9,12]
[5,1,2,7,8,3,11,4,6,9,10,12]=>[5,1,8,11,2,4,7,3,6,9,10,12]
[5,1,2,8,10,3,11,4,6,7,12,9]=>[5,1,10,11,2,4,6,8,12,3,7,9]
[6,1,2,8,9,3,11,4,5,7,12,10]=>[6,1,9,11,4,2,5,8,3,12,7,10]
[4,1,2,7,3,5,6,8,10,11,9,12]=>[4,1,7,2,3,5,6,8,11,10,9,12]
[4,1,2,7,3,5,6,8,11,9,10,12]=>[4,1,7,2,3,5,6,8,11,9,10,12]
[4,1,2,8,3,5,6,10,11,7,12,9]=>[4,1,8,2,3,5,11,6,12,10,7,9]
[4,1,2,8,3,5,6,11,7,9,10,12]=>[4,1,8,2,3,5,11,6,7,9,10,12]
[4,1,2,9,3,5,6,11,7,8,12,10]=>[4,1,9,2,3,5,11,7,6,12,8,10]
[5,1,2,7,3,4,8,9,11,6,12,10]=>[5,1,7,3,2,11,4,8,9,12,6,10]
[5,1,2,7,3,4,8,9,6,10,12,11]=>[5,1,7,3,2,9,4,8,6,10,12,11]
[5,1,2,8,3,4,10,11,6,12,7,9]=>[5,1,8,3,2,11,12,4,7,10,6,9]
[6,1,2,8,3,4,9,11,5,12,7,10]=>[6,1,8,3,11,2,12,4,9,7,5,10]
[5,1,2,8,3,4,11,6,7,9,10,12]=>[5,1,8,3,2,11,6,4,7,9,10,12]
[5,1,2,9,3,4,11,6,7,8,12,10]=>[5,1,9,3,2,11,6,7,4,12,8,10]
[6,1,2,8,3,4,9,5,7,10,12,11]=>[6,1,8,3,9,2,5,4,7,10,12,11]
[6,1,2,9,3,4,11,5,7,12,8,10]=>[6,1,9,3,11,2,5,12,4,8,7,10]
[7,1,2,9,3,4,10,5,6,12,8,11]=>[7,1,9,3,10,5,2,12,4,6,8,11]
[3,4,1,5,6,7,8,9,10,11,12,2]=>[4,12,3,1,5,6,7,8,9,10,11,2]
[8,2,9,3,10,4,11,5,12,6,1,7]=>[6,12,8,9,10,11,2,3,4,5,1,7]
[8,2,9,3,10,4,11,5,12,1,6,7]=>[12,8,9,10,11,1,6,2,3,4,5,7]
[8,2,9,3,10,4,11,12,5,6,1,7]=>[6,8,9,10,12,5,1,2,3,4,11,7]
[8,2,9,3,10,4,11,12,5,1,6,7]=>[5,12,8,9,10,2,6,3,4,1,11,7]
[8,2,9,3,10,4,11,12,1,5,6,7]=>[12,8,9,10,1,5,6,2,3,4,11,7]
[8,2,9,3,10,11,4,5,12,6,1,7]=>[6,12,8,9,1,11,2,3,4,10,5,7]
[8,2,9,3,10,11,4,5,12,1,6,7]=>[12,8,9,11,4,1,6,2,3,10,5,7]
[8,2,9,3,10,11,4,12,5,6,1,7]=>[6,8,9,11,12,5,1,2,3,10,4,7]
[8,2,9,3,10,11,4,12,5,1,6,7]=>[5,12,8,9,11,2,6,3,4,10,1,7]
[8,2,9,3,10,11,4,12,1,5,6,7]=>[12,8,9,11,1,5,6,2,3,10,4,7]
[8,2,9,3,10,11,12,4,5,6,1,7]=>[6,8,9,12,4,5,1,2,3,10,11,7]
[8,2,9,3,10,11,12,4,5,1,6,7]=>[5,8,9,12,4,1,6,2,3,10,11,7]
[8,2,9,3,10,11,12,4,1,5,6,7]=>[4,12,8,9,2,5,6,3,1,10,11,7]
[8,2,9,3,10,11,12,1,4,5,6,7]=>[12,8,9,1,4,5,6,2,3,10,11,7]
[8,2,9,10,3,4,11,5,12,6,1,7]=>[6,12,8,1,10,11,2,3,9,5,4,7]
[8,2,9,10,3,4,11,5,12,1,6,7]=>[12,8,10,3,11,1,6,2,9,4,5,7]
[8,2,9,10,3,4,11,12,5,6,1,7]=>[6,8,10,3,12,5,1,2,9,4,11,7]
[8,2,9,10,3,4,11,12,5,1,6,7]=>[5,12,8,1,10,2,6,3,9,4,11,7]
[8,2,9,10,3,4,11,12,1,5,6,7]=>[12,8,10,3,1,5,6,2,9,4,11,7]
[8,2,9,10,3,11,4,5,12,6,1,7]=>[6,12,8,10,1,11,2,3,9,4,5,7]
[8,2,9,10,3,11,4,5,12,1,6,7]=>[12,8,10,11,4,1,6,2,9,3,5,7]
[8,2,9,10,3,11,4,12,5,6,1,7]=>[6,8,10,11,12,5,1,2,9,3,4,7]
[8,2,9,10,3,11,4,12,5,1,6,7]=>[5,12,8,10,11,2,6,3,9,4,1,7]
[8,2,9,10,3,11,4,12,1,5,6,7]=>[12,8,10,11,1,5,6,2,9,3,4,7]
[8,2,9,10,3,11,12,4,5,6,1,7]=>[6,8,10,12,4,5,1,2,9,3,11,7]
[8,2,9,10,3,11,12,4,5,1,6,7]=>[5,8,10,12,4,1,6,2,9,3,11,7]
[8,2,9,10,3,11,12,4,1,5,6,7]=>[4,12,8,10,2,5,6,3,9,1,11,7]
[8,2,9,10,3,11,12,1,4,5,6,7]=>[12,8,10,1,4,5,6,2,9,3,11,7]
[8,2,9,10,11,3,4,5,12,6,1,7]=>[6,12,8,1,4,11,2,3,9,10,5,7]
[8,2,9,10,11,3,4,5,12,1,6,7]=>[12,8,11,3,4,1,6,2,9,10,5,7]
[8,2,9,10,11,3,4,12,5,6,1,7]=>[6,8,11,3,12,5,1,2,9,10,4,7]
[8,2,9,10,11,3,4,12,5,1,6,7]=>[5,12,8,1,11,2,6,3,9,10,4,7]
[8,2,9,10,11,3,4,12,1,5,6,7]=>[12,8,11,3,1,5,6,2,9,10,4,7]
[8,2,9,10,11,3,12,4,5,6,1,7]=>[6,8,11,12,4,5,1,2,9,10,3,7]
[8,2,9,10,11,3,12,4,5,1,6,7]=>[5,8,11,12,4,1,6,2,9,10,3,7]
[8,2,9,10,11,3,12,4,1,5,6,7]=>[4,12,8,11,2,5,6,3,9,10,1,7]
[8,2,9,10,11,3,12,1,4,5,6,7]=>[12,8,11,1,4,5,6,2,9,10,3,7]
[8,2,9,10,11,12,3,4,5,6,1,7]=>[6,8,12,3,4,5,1,2,9,10,11,7]
[8,2,9,10,11,12,3,4,5,1,6,7]=>[5,8,12,3,4,1,6,2,9,10,11,7]
[8,2,9,10,11,12,3,4,1,5,6,7]=>[4,8,12,3,1,5,6,2,9,10,11,7]
[8,2,9,10,11,12,3,1,4,5,6,7]=>[3,12,8,2,4,5,6,1,9,10,11,7]
[8,2,9,10,11,12,1,3,4,5,6,7]=>[12,8,1,3,4,5,6,2,9,10,11,7]
[8,9,2,3,10,4,11,5,12,6,1,7]=>[6,12,1,9,10,11,2,8,4,5,3,7]
[8,9,2,3,10,4,11,5,12,1,6,7]=>[12,9,2,10,11,1,6,8,3,4,5,7]
[8,9,2,3,10,4,11,12,5,6,1,7]=>[6,9,2,10,12,5,1,8,3,4,11,7]
[8,9,2,3,10,4,11,12,5,1,6,7]=>[5,12,1,9,10,2,6,8,4,3,11,7]
[8,9,2,3,10,4,11,12,1,5,6,7]=>[12,9,2,10,1,5,6,8,3,4,11,7]
[8,9,2,3,10,11,4,5,12,6,1,7]=>[6,12,1,9,3,11,2,8,4,10,5,7]
[8,9,2,3,10,11,4,5,12,1,6,7]=>[12,9,2,11,4,1,6,8,3,10,5,7]
[8,9,2,3,10,11,4,12,5,6,1,7]=>[6,9,2,11,12,5,1,8,3,10,4,7]
[8,9,2,3,10,11,4,12,5,1,6,7]=>[5,12,1,9,11,2,6,8,4,10,3,7]
[8,9,2,3,10,11,4,12,1,5,6,7]=>[12,9,2,11,1,5,6,8,3,10,4,7]
[8,9,2,3,10,11,12,4,5,6,1,7]=>[6,9,2,12,4,5,1,8,3,10,11,7]
[8,9,2,3,10,11,12,4,5,1,6,7]=>[5,9,2,12,4,1,6,8,3,10,11,7]
[8,9,2,3,10,11,12,4,1,5,6,7]=>[4,12,1,9,2,5,6,8,3,10,11,7]
[8,9,2,3,10,11,12,1,4,5,6,7]=>[12,9,2,1,4,5,6,8,3,10,11,7]
[8,9,2,10,3,4,11,5,12,6,1,7]=>[6,12,9,1,10,11,2,8,3,5,4,7]
[8,9,2,10,3,4,11,5,12,1,6,7]=>[12,9,10,3,11,1,6,8,2,4,5,7]
[8,9,2,10,3,4,11,12,5,6,1,7]=>[6,9,10,3,12,5,1,8,2,4,11,7]
[8,9,2,10,3,4,11,12,5,1,6,7]=>[5,12,9,1,10,2,6,8,3,4,11,7]
[8,9,2,10,3,4,11,12,1,5,6,7]=>[12,9,10,3,1,5,6,8,2,4,11,7]
[8,9,2,10,3,11,4,5,12,6,1,7]=>[6,12,9,10,1,11,2,8,3,4,5,7]
[8,9,2,10,3,11,4,5,12,1,6,7]=>[12,9,10,11,4,1,6,8,2,3,5,7]
[8,9,2,10,3,11,4,12,5,6,1,7]=>[6,9,10,11,12,5,1,8,2,3,4,7]
[8,9,2,10,3,11,4,12,5,1,6,7]=>[5,12,9,10,11,2,6,8,3,4,1,7]
[8,9,2,10,3,11,4,12,1,5,6,7]=>[12,9,10,11,1,5,6,8,2,3,4,7]
[8,9,2,10,3,11,12,4,5,6,1,7]=>[6,9,10,12,4,5,1,8,2,3,11,7]
[8,9,2,10,3,11,12,4,5,1,6,7]=>[5,9,10,12,4,1,6,8,2,3,11,7]
[8,9,2,10,3,11,12,4,1,5,6,7]=>[4,12,9,10,2,5,6,8,3,1,11,7]
[8,9,2,10,3,11,12,1,4,5,6,7]=>[12,9,10,1,4,5,6,8,2,3,11,7]
[8,9,2,10,11,3,4,5,12,6,1,7]=>[6,12,9,1,4,11,2,8,3,10,5,7]
[8,9,2,10,11,3,4,5,12,1,6,7]=>[12,9,11,3,4,1,6,8,2,10,5,7]
[8,9,2,10,11,3,4,12,5,6,1,7]=>[6,9,11,3,12,5,1,8,2,10,4,7]
[8,9,2,10,11,3,4,12,5,1,6,7]=>[5,12,9,1,11,2,6,8,3,10,4,7]
[8,9,2,10,11,3,4,12,1,5,6,7]=>[12,9,11,3,1,5,6,8,2,10,4,7]
[8,9,2,10,11,3,12,4,5,6,1,7]=>[6,9,11,12,4,5,1,8,2,10,3,7]
[8,9,2,10,11,3,12,4,5,1,6,7]=>[5,9,11,12,4,1,6,8,2,10,3,7]
[8,9,2,10,11,3,12,4,1,5,6,7]=>[4,12,9,11,2,5,6,8,3,10,1,7]
[8,9,2,10,11,3,12,1,4,5,6,7]=>[12,9,11,1,4,5,6,8,2,10,3,7]
[8,9,2,10,11,12,3,4,5,6,1,7]=>[6,9,12,3,4,5,1,8,2,10,11,7]
[8,9,2,10,11,12,3,4,5,1,6,7]=>[5,9,12,3,4,1,6,8,2,10,11,7]
[8,9,2,10,11,12,3,4,1,5,6,7]=>[4,9,12,3,1,5,6,8,2,10,11,7]
[8,9,2,10,11,12,3,1,4,5,6,7]=>[3,12,9,2,4,5,6,8,1,10,11,7]
[8,9,2,10,11,12,1,3,4,5,6,7]=>[12,9,1,3,4,5,6,8,2,10,11,7]
[8,9,10,2,3,4,11,5,12,6,1,7]=>[6,12,1,3,10,11,2,8,9,5,4,7]
[8,9,10,2,3,4,11,5,12,1,6,7]=>[12,10,2,3,11,1,6,8,9,4,5,7]
[8,9,10,2,3,4,11,12,5,6,1,7]=>[6,10,2,3,12,5,1,8,9,4,11,7]
[8,9,10,2,3,4,11,12,5,1,6,7]=>[5,12,1,3,10,2,6,8,9,4,11,7]
[8,9,10,2,3,4,11,12,1,5,6,7]=>[12,10,2,3,1,5,6,8,9,4,11,7]
[8,9,10,2,3,11,4,5,12,6,1,7]=>[6,12,1,10,3,11,2,8,9,4,5,7]
[8,9,10,2,3,11,4,5,12,1,6,7]=>[12,10,2,11,4,1,6,8,9,3,5,7]
[8,9,10,2,3,11,4,12,5,6,1,7]=>[6,10,2,11,12,5,1,8,9,3,4,7]
[8,9,10,2,3,11,4,12,5,1,6,7]=>[5,12,1,10,11,2,6,8,9,4,3,7]
[8,9,10,2,3,11,4,12,1,5,6,7]=>[12,10,2,11,1,5,6,8,9,3,4,7]
[8,9,10,2,3,11,12,4,5,6,1,7]=>[6,10,2,12,4,5,1,8,9,3,11,7]
[8,9,10,2,3,11,12,4,5,1,6,7]=>[5,10,2,12,4,1,6,8,9,3,11,7]
[8,9,10,2,3,11,12,4,1,5,6,7]=>[4,12,1,10,2,5,6,8,9,3,11,7]
[8,9,10,2,3,11,12,1,4,5,6,7]=>[12,10,2,1,4,5,6,8,9,3,11,7]
[8,9,10,2,11,3,4,5,12,6,1,7]=>[6,12,10,1,4,11,2,8,9,3,5,7]
[8,9,10,2,11,3,4,5,12,1,6,7]=>[12,10,11,3,4,1,6,8,9,2,5,7]
[8,9,10,2,11,3,4,12,5,6,1,7]=>[6,10,11,3,12,5,1,8,9,2,4,7]
[8,9,10,2,11,3,4,12,5,1,6,7]=>[5,12,10,1,11,2,6,8,9,3,4,7]
[8,9,10,2,11,3,4,12,1,5,6,7]=>[12,10,11,3,1,5,6,8,9,2,4,7]
[8,9,10,2,11,3,12,4,5,6,1,7]=>[6,10,11,12,4,5,1,8,9,2,3,7]
[8,9,10,2,11,3,12,4,5,1,6,7]=>[5,10,11,12,4,1,6,8,9,2,3,7]
[8,9,10,2,11,3,12,4,1,5,6,7]=>[4,12,10,11,2,5,6,8,9,3,1,7]
[8,9,10,2,11,3,12,1,4,5,6,7]=>[12,10,11,1,4,5,6,8,9,2,3,7]
[8,9,10,2,11,12,3,4,5,6,1,7]=>[6,10,12,3,4,5,1,8,9,2,11,7]
[8,9,10,2,11,12,3,4,5,1,6,7]=>[5,10,12,3,4,1,6,8,9,2,11,7]
[8,9,10,2,11,12,3,4,1,5,6,7]=>[4,10,12,3,1,5,6,8,9,2,11,7]
[8,9,10,2,11,12,3,1,4,5,6,7]=>[3,12,10,2,4,5,6,8,9,1,11,7]
[8,9,10,2,11,12,1,3,4,5,6,7]=>[12,10,1,3,4,5,6,8,9,2,11,7]
[8,9,10,11,2,3,4,5,12,6,1,7]=>[6,12,1,3,4,11,2,8,9,10,5,7]
[8,9,10,11,2,3,4,5,12,1,6,7]=>[12,11,2,3,4,1,6,8,9,10,5,7]
[8,9,10,11,2,3,4,12,5,6,1,7]=>[6,11,2,3,12,5,1,8,9,10,4,7]
[8,9,10,11,2,3,4,12,5,1,6,7]=>[5,12,1,3,11,2,6,8,9,10,4,7]
[8,9,10,11,2,3,4,12,1,5,6,7]=>[12,11,2,3,1,5,6,8,9,10,4,7]
[8,9,10,11,2,3,12,4,5,6,1,7]=>[6,11,2,12,4,5,1,8,9,10,3,7]
[8,9,10,11,2,3,12,4,5,1,6,7]=>[5,11,2,12,4,1,6,8,9,10,3,7]
[8,9,10,11,2,3,12,4,1,5,6,7]=>[4,12,1,11,2,5,6,8,9,10,3,7]
[8,9,10,11,2,3,12,1,4,5,6,7]=>[12,11,2,1,4,5,6,8,9,10,3,7]
[8,9,10,11,2,12,3,4,5,6,1,7]=>[6,11,12,3,4,5,1,8,9,10,2,7]
[8,9,10,11,2,12,3,4,5,1,6,7]=>[5,11,12,3,4,1,6,8,9,10,2,7]
[8,9,10,11,2,12,3,4,1,5,6,7]=>[4,11,12,3,1,5,6,8,9,10,2,7]
[8,9,10,11,2,12,3,1,4,5,6,7]=>[3,12,11,2,4,5,6,8,9,10,1,7]
[8,9,10,11,2,12,1,3,4,5,6,7]=>[12,11,1,3,4,5,6,8,9,10,2,7]
[8,9,10,11,12,2,3,4,5,6,1,7]=>[6,12,2,3,4,5,1,8,9,10,11,7]
[8,9,10,11,12,2,3,4,5,1,6,7]=>[5,12,2,3,4,1,6,8,9,10,11,7]
[8,9,10,11,12,2,3,4,1,5,6,7]=>[4,12,2,3,1,5,6,8,9,10,11,7]
[8,9,10,11,12,2,3,1,4,5,6,7]=>[3,12,2,1,4,5,6,8,9,10,11,7]
[8,9,10,11,12,2,1,3,4,5,6,7]=>[2,12,1,3,4,5,6,8,9,10,11,7]
[1,2,3,4,5,6,7,10,8,9,11,12]=>[1,2,3,4,5,6,7,10,8,9,11,12]
[1,2,3,4,5,6,7,12,8,9,10,11]=>[1,2,3,4,5,6,7,12,8,9,10,11]
[1,2,3,4,5,6,7,12,8,11,9,10]=>[1,2,3,4,5,6,7,12,11,9,8,10]
[1,2,3,4,5,8,6,7,9,10,11,12]=>[1,2,3,4,5,8,6,7,9,10,11,12]
[1,2,3,4,5,8,6,7,9,12,10,11]=>[1,2,3,4,5,8,6,7,9,12,10,11]
[1,2,3,4,5,10,6,7,8,9,11,12]=>[1,2,3,4,5,10,6,7,8,9,11,12]
[1,2,3,4,5,12,6,7,8,9,10,11]=>[1,2,3,4,5,12,6,7,8,9,10,11]
[1,2,3,4,5,12,6,7,8,11,9,10]=>[1,2,3,4,5,12,6,7,11,9,8,10]
[1,2,3,4,5,10,6,9,7,8,11,12]=>[1,2,3,4,5,10,9,7,6,8,11,12]
[1,2,3,4,5,12,6,9,7,8,10,11]=>[1,2,3,4,5,12,9,7,6,8,10,11]
[1,2,3,4,5,12,6,11,7,8,9,10]=>[1,2,3,4,5,12,11,7,8,9,6,10]
[1,2,3,4,5,12,6,11,7,10,8,9]=>[1,2,3,4,5,12,11,10,8,7,6,9]
[1,2,3,6,4,5,7,8,9,10,11,12]=>[1,2,3,6,4,5,7,8,9,10,11,12]
[1,2,3,6,4,5,7,8,9,12,10,11]=>[1,2,3,6,4,5,7,8,9,12,10,11]
[1,2,3,6,4,5,7,10,8,9,11,12]=>[1,2,3,6,4,5,7,10,8,9,11,12]
[1,2,3,6,4,5,7,12,8,9,10,11]=>[1,2,3,6,4,5,7,12,8,9,10,11]
[1,2,3,6,4,5,7,12,8,11,9,10]=>[1,2,3,6,4,5,7,12,11,9,8,10]
[1,2,3,8,4,5,6,7,9,10,11,12]=>[1,2,3,8,4,5,6,7,9,10,11,12]
[1,2,3,8,4,5,6,7,9,12,10,11]=>[1,2,3,8,4,5,6,7,9,12,10,11]
[1,2,3,10,4,5,6,7,8,9,11,12]=>[1,2,3,10,4,5,6,7,8,9,11,12]
[1,2,3,12,4,5,6,7,8,9,10,11]=>[1,2,3,12,4,5,6,7,8,9,10,11]
[1,2,3,12,4,5,6,7,8,11,9,10]=>[1,2,3,12,4,5,6,7,11,9,8,10]
[1,2,3,10,4,5,6,9,7,8,11,12]=>[1,2,3,10,4,5,9,7,6,8,11,12]
[1,2,3,12,4,5,6,9,7,8,10,11]=>[1,2,3,12,4,5,9,7,6,8,10,11]
[1,2,3,12,4,5,6,11,7,8,9,10]=>[1,2,3,12,4,5,11,7,8,9,6,10]
[1,2,3,12,4,5,6,11,7,10,8,9]=>[1,2,3,12,4,5,11,10,8,7,6,9]
[1,2,3,8,4,7,5,6,9,10,11,12]=>[1,2,3,8,7,5,4,6,9,10,11,12]
[1,2,3,8,4,7,5,6,9,12,10,11]=>[1,2,3,8,7,5,4,6,9,12,10,11]
[1,2,3,10,4,7,5,6,8,9,11,12]=>[1,2,3,10,7,5,4,6,8,9,11,12]
[1,2,3,12,4,7,5,6,8,9,10,11]=>[1,2,3,12,7,5,4,6,8,9,10,11]
[1,2,3,12,4,7,5,6,8,11,9,10]=>[1,2,3,12,7,5,4,6,11,9,8,10]
[1,2,3,10,4,9,5,6,7,8,11,12]=>[1,2,3,10,9,5,6,7,4,8,11,12]
[1,2,3,12,4,9,5,6,7,8,10,11]=>[1,2,3,12,9,5,6,7,4,8,10,11]
[1,2,3,12,4,11,5,6,7,8,9,10]=>[1,2,3,12,11,5,6,7,8,9,4,10]
[1,2,3,12,4,11,5,6,7,10,8,9]=>[1,2,3,12,11,5,6,10,8,7,4,9]
[1,2,3,10,4,9,5,8,6,7,11,12]=>[1,2,3,10,9,8,6,5,4,7,11,12]
[1,2,3,12,4,9,5,8,6,7,10,11]=>[1,2,3,12,9,8,6,5,4,7,10,11]
[1,2,3,12,4,11,5,8,6,7,9,10]=>[1,2,3,12,11,8,6,5,7,9,4,10]
[1,2,3,12,4,11,5,10,6,7,8,9]=>[1,2,3,12,11,10,6,7,8,5,4,9]
[1,2,3,12,4,11,5,10,6,9,7,8]=>[1,2,3,12,11,10,9,7,6,5,4,8]
[1,4,2,3,5,6,7,8,9,10,11,12]=>[1,4,2,3,5,6,7,8,9,10,11,12]
[1,4,2,3,5,6,7,8,9,12,10,11]=>[1,4,2,3,5,6,7,8,9,12,10,11]
[1,4,2,3,5,6,7,10,8,9,11,12]=>[1,4,2,3,5,6,7,10,8,9,11,12]
[1,4,2,3,5,6,7,12,8,9,10,11]=>[1,4,2,3,5,6,7,12,8,9,10,11]
[1,4,2,3,5,6,7,12,8,11,9,10]=>[1,4,2,3,5,6,7,12,11,9,8,10]
[1,4,2,3,5,8,6,7,9,10,11,12]=>[1,4,2,3,5,8,6,7,9,10,11,12]
[1,4,2,3,5,8,6,7,9,12,10,11]=>[1,4,2,3,5,8,6,7,9,12,10,11]
[1,4,2,3,5,10,6,7,8,9,11,12]=>[1,4,2,3,5,10,6,7,8,9,11,12]
[1,4,2,3,5,12,6,7,8,9,10,11]=>[1,4,2,3,5,12,6,7,8,9,10,11]
[1,4,2,3,5,12,6,7,8,11,9,10]=>[1,4,2,3,5,12,6,7,11,9,8,10]
[1,4,2,3,5,10,6,9,7,8,11,12]=>[1,4,2,3,5,10,9,7,6,8,11,12]
[1,4,2,3,5,12,6,9,7,8,10,11]=>[1,4,2,3,5,12,9,7,6,8,10,11]
[1,4,2,3,5,12,6,11,7,8,9,10]=>[1,4,2,3,5,12,11,7,8,9,6,10]
[1,4,2,3,5,12,6,11,7,10,8,9]=>[1,4,2,3,5,12,11,10,8,7,6,9]
[1,6,2,3,4,5,7,8,9,10,11,12]=>[1,6,2,3,4,5,7,8,9,10,11,12]
[1,6,2,3,4,5,7,8,9,12,10,11]=>[1,6,2,3,4,5,7,8,9,12,10,11]
[1,6,2,3,4,5,7,10,8,9,11,12]=>[1,6,2,3,4,5,7,10,8,9,11,12]
[1,6,2,3,4,5,7,12,8,9,10,11]=>[1,6,2,3,4,5,7,12,8,9,10,11]
[1,6,2,3,4,5,7,12,8,11,9,10]=>[1,6,2,3,4,5,7,12,11,9,8,10]
[1,8,2,3,4,5,6,7,9,10,11,12]=>[1,8,2,3,4,5,6,7,9,10,11,12]
[1,8,2,3,4,5,6,7,9,12,10,11]=>[1,8,2,3,4,5,6,7,9,12,10,11]
[1,10,2,3,4,5,6,7,8,9,11,12]=>[1,10,2,3,4,5,6,7,8,9,11,12]
[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]
[1,12,2,3,4,5,6,7,8,11,9,10]=>[1,12,2,3,4,5,6,7,11,9,8,10]
[1,10,2,3,4,5,6,9,7,8,11,12]=>[1,10,2,3,4,5,9,7,6,8,11,12]
[1,12,2,3,4,5,6,9,7,8,10,11]=>[1,12,2,3,4,5,9,7,6,8,10,11]
[1,12,2,3,4,5,6,11,7,8,9,10]=>[1,12,2,3,4,5,11,7,8,9,6,10]
[1,12,2,3,4,5,6,11,7,10,8,9]=>[1,12,2,3,4,5,11,10,8,7,6,9]
[1,8,2,3,4,7,5,6,9,10,11,12]=>[1,8,2,3,7,5,4,6,9,10,11,12]
[1,8,2,3,4,7,5,6,9,12,10,11]=>[1,8,2,3,7,5,4,6,9,12,10,11]
[1,10,2,3,4,7,5,6,8,9,11,12]=>[1,10,2,3,7,5,4,6,8,9,11,12]
[1,12,2,3,4,7,5,6,8,9,10,11]=>[1,12,2,3,7,5,4,6,8,9,10,11]
[1,12,2,3,4,7,5,6,8,11,9,10]=>[1,12,2,3,7,5,4,6,11,9,8,10]
[1,10,2,3,4,9,5,6,7,8,11,12]=>[1,10,2,3,9,5,6,7,4,8,11,12]
[1,12,2,3,4,9,5,6,7,8,10,11]=>[1,12,2,3,9,5,6,7,4,8,10,11]
[1,12,2,3,4,11,5,6,7,8,9,10]=>[1,12,2,3,11,5,6,7,8,9,4,10]
[1,12,2,3,4,11,5,6,7,10,8,9]=>[1,12,2,3,11,5,6,10,8,7,4,9]
[1,10,2,3,4,9,5,8,6,7,11,12]=>[1,10,2,3,9,8,6,5,4,7,11,12]
[1,12,2,3,4,9,5,8,6,7,10,11]=>[1,12,2,3,9,8,6,5,4,7,10,11]
[1,12,2,3,4,11,5,8,6,7,9,10]=>[1,12,2,3,11,8,6,5,7,9,4,10]
[1,12,2,3,4,11,5,10,6,7,8,9]=>[1,12,2,3,11,10,6,7,8,5,4,9]
[1,12,2,3,4,11,5,10,6,9,7,8]=>[1,12,2,3,11,10,9,7,6,5,4,8]
[1,6,2,5,3,4,7,8,9,10,11,12]=>[1,6,5,3,2,4,7,8,9,10,11,12]
[1,6,2,5,3,4,7,8,9,12,10,11]=>[1,6,5,3,2,4,7,8,9,12,10,11]
[1,6,2,5,3,4,7,10,8,9,11,12]=>[1,6,5,3,2,4,7,10,8,9,11,12]
[1,6,2,5,3,4,7,12,8,9,10,11]=>[1,6,5,3,2,4,7,12,8,9,10,11]
[1,6,2,5,3,4,7,12,8,11,9,10]=>[1,6,5,3,2,4,7,12,11,9,8,10]
[1,8,2,5,3,4,6,7,9,10,11,12]=>[1,8,5,3,2,4,6,7,9,10,11,12]
[1,8,2,5,3,4,6,7,9,12,10,11]=>[1,8,5,3,2,4,6,7,9,12,10,11]
[1,10,2,5,3,4,6,7,8,9,11,12]=>[1,10,5,3,2,4,6,7,8,9,11,12]
[1,12,2,5,3,4,6,7,8,9,10,11]=>[1,12,5,3,2,4,6,7,8,9,10,11]
[1,12,2,5,3,4,6,7,8,11,9,10]=>[1,12,5,3,2,4,6,7,11,9,8,10]
[1,10,2,5,3,4,6,9,7,8,11,12]=>[1,10,5,3,2,4,9,7,6,8,11,12]
[1,12,2,5,3,4,6,9,7,8,10,11]=>[1,12,5,3,2,4,9,7,6,8,10,11]
[1,12,2,5,3,4,6,11,7,8,9,10]=>[1,12,5,3,2,4,11,7,8,9,6,10]
[1,12,2,5,3,4,6,11,7,10,8,9]=>[1,12,5,3,2,4,11,10,8,7,6,9]
[1,8,2,7,3,4,5,6,9,10,11,12]=>[1,8,7,3,4,5,2,6,9,10,11,12]
[1,8,2,7,3,4,5,6,9,12,10,11]=>[1,8,7,3,4,5,2,6,9,12,10,11]
[1,10,2,7,3,4,5,6,8,9,11,12]=>[1,10,7,3,4,5,2,6,8,9,11,12]
[1,12,2,7,3,4,5,6,8,9,10,11]=>[1,12,7,3,4,5,2,6,8,9,10,11]
[1,12,2,7,3,4,5,6,8,11,9,10]=>[1,12,7,3,4,5,2,6,11,9,8,10]
[1,10,2,9,3,4,5,6,7,8,11,12]=>[1,10,9,3,4,5,6,7,2,8,11,12]
[1,12,2,9,3,4,5,6,7,8,10,11]=>[1,12,9,3,4,5,6,7,2,8,10,11]
[1,12,2,11,3,4,5,6,7,8,9,10]=>[1,12,11,3,4,5,6,7,8,9,2,10]
[1,12,2,11,3,4,5,6,7,10,8,9]=>[1,12,11,3,4,5,6,10,8,7,2,9]
[1,10,2,9,3,4,5,8,6,7,11,12]=>[1,10,9,3,4,8,6,5,2,7,11,12]
[1,12,2,9,3,4,5,8,6,7,10,11]=>[1,12,9,3,4,8,6,5,2,7,10,11]
[1,12,2,11,3,4,5,8,6,7,9,10]=>[1,12,11,3,4,8,6,5,7,9,2,10]
[1,12,2,11,3,4,5,10,6,7,8,9]=>[1,12,11,3,4,10,6,7,8,5,2,9]
[1,12,2,11,3,4,5,10,6,9,7,8]=>[1,12,11,3,4,10,9,7,6,5,2,8]
[1,8,2,7,3,6,4,5,9,10,11,12]=>[1,8,7,6,4,3,2,5,9,10,11,12]
[1,8,2,7,3,6,4,5,9,12,10,11]=>[1,8,7,6,4,3,2,5,9,12,10,11]
[1,10,2,7,3,6,4,5,8,9,11,12]=>[1,10,7,6,4,3,2,5,8,9,11,12]
[1,12,2,7,3,6,4,5,8,9,10,11]=>[1,12,7,6,4,3,2,5,8,9,10,11]
[1,12,2,7,3,6,4,5,8,11,9,10]=>[1,12,7,6,4,3,2,5,11,9,8,10]
[1,10,2,9,3,6,4,5,7,8,11,12]=>[1,10,9,6,4,3,5,7,2,8,11,12]
[1,12,2,9,3,6,4,5,7,8,10,11]=>[1,12,9,6,4,3,5,7,2,8,10,11]
[1,12,2,11,3,6,4,5,7,8,9,10]=>[1,12,11,6,4,3,5,7,8,9,2,10]
[1,12,2,11,3,6,4,5,7,10,8,9]=>[1,12,11,6,4,3,5,10,8,7,2,9]
[1,10,2,9,3,8,4,5,6,7,11,12]=>[1,10,9,8,4,5,6,3,2,7,11,12]
[1,12,2,9,3,8,4,5,6,7,10,11]=>[1,12,9,8,4,5,6,3,2,7,10,11]
[1,12,2,11,3,8,4,5,6,7,9,10]=>[1,12,11,8,4,5,6,3,7,9,2,10]
[1,12,2,11,3,10,4,5,6,7,8,9]=>[1,12,11,10,4,5,6,7,8,3,2,9]
[1,12,2,11,3,10,4,5,6,9,7,8]=>[1,12,11,10,4,5,9,7,6,3,2,8]
[1,10,2,9,3,8,4,7,5,6,11,12]=>[1,10,9,8,7,5,4,3,2,6,11,12]
[1,12,2,9,3,8,4,7,5,6,10,11]=>[1,12,9,8,7,5,4,3,2,6,10,11]
[1,12,2,11,3,8,4,7,5,6,9,10]=>[1,12,11,8,7,5,4,3,6,9,2,10]
[1,12,2,11,3,10,4,7,5,6,8,9]=>[1,12,11,10,7,5,4,6,8,3,2,9]
[1,12,2,11,3,10,4,9,5,6,7,8]=>[1,12,11,10,9,5,6,7,4,3,2,8]
[12,3,1,4,5,6,7,8,9,10,11,2]=>[3,12,11,2,4,5,6,7,8,9,10,1]
[2,1,4,3,10,7,11,9,6,12,5,8]=>[2,1,4,3,12,9,11,5,10,6,7,8]
[2,1,8,5,9,7,4,10,3,6,12,11]=>[2,1,10,7,9,3,8,4,5,6,12,11]
[2,1,10,5,11,7,4,9,6,12,3,8]=>[2,1,12,7,11,10,9,3,5,6,4,8]
[2,1,8,5,9,7,4,10,11,12,3,6]=>[2,1,12,7,9,3,8,4,5,10,11,6]
[2,1,10,5,11,7,8,9,4,12,3,6]=>[2,1,12,9,10,3,11,7,8,5,4,6]
[2,1,6,5,9,10,8,12,11,7,3,4]=>[2,1,7,3,6,5,11,10,9,8,12,4]
[2,1,10,5,6,7,11,9,4,12,3,8]=>[2,1,12,9,11,4,6,3,10,7,5,8]
[2,1,10,7,6,8,9,4,11,12,3,5]=>[2,1,12,9,3,7,10,6,8,4,11,5]
[2,1,4,9,6,10,8,5,11,3,12,7]=>[2,1,11,4,8,10,9,12,7,6,3,5]
[2,3,4,1,10,7,11,9,6,12,5,8]=>[4,2,3,1,12,9,11,5,10,6,7,8]
[6,3,7,5,2,8,1,4,10,9,12,11]=>[8,5,7,1,6,2,3,4,10,9,12,11]
[6,3,7,5,2,8,1,4,10,11,12,9]=>[8,5,7,1,6,2,3,4,12,10,11,9]
[8,3,9,5,2,7,4,10,1,6,12,11]=>[10,5,9,8,7,1,3,4,2,6,12,11]
[10,3,11,5,2,7,4,9,6,12,1,8]=>[12,5,11,10,7,9,3,1,2,4,6,8]
[8,3,9,5,2,7,4,10,11,12,1,6]=>[12,5,9,8,7,1,3,4,2,10,11,6]
[6,3,7,5,2,8,9,10,1,4,12,11]=>[10,5,7,1,6,2,3,8,9,4,12,11]
[10,3,11,5,2,7,8,9,4,12,1,6]=>[12,5,11,10,9,1,3,7,8,4,2,6]
[6,3,9,5,2,10,8,12,11,7,1,4]=>[7,5,11,3,6,2,9,10,1,8,12,4]
[6,3,7,5,2,8,9,10,11,12,1,4]=>[12,5,7,1,6,2,3,8,9,10,11,4]
[8,3,9,5,6,7,2,10,1,4,12,11]=>[10,7,8,1,9,5,6,3,2,4,12,11]
[10,3,11,5,6,7,2,9,4,12,1,8]=>[12,7,10,9,11,5,6,1,2,3,4,8]
[8,3,9,5,6,7,2,10,11,12,1,4]=>[12,7,8,1,9,5,6,3,2,10,11,4]
[4,3,7,8,6,10,9,5,1,2,12,11]=>[5,1,4,3,9,8,7,6,10,2,12,11]
[10,3,11,7,6,8,9,4,2,12,1,5]=>[12,4,9,10,1,7,11,6,8,2,3,5]
[4,3,9,10,6,12,8,5,11,7,1,2]=>[7,1,4,3,11,8,12,10,9,6,2,5]
[10,3,11,5,6,7,8,9,2,12,1,4]=>[12,9,10,1,11,5,6,7,8,3,2,4]
[4,3,9,10,6,7,8,12,11,5,1,2]=>[5,1,4,3,11,10,6,7,9,8,12,2]
[4,3,5,8,9,7,12,10,6,11,2,1]=>[2,11,4,3,5,10,9,8,7,12,6,1]
[8,3,4,5,9,7,2,10,1,6,12,11]=>[10,7,9,2,4,1,8,5,3,6,12,11]
[10,3,4,5,11,7,2,9,6,12,1,8]=>[12,7,11,2,4,10,9,1,3,6,5,8]
[8,3,4,5,9,7,2,10,11,12,1,6]=>[12,7,9,2,4,1,8,5,3,10,11,6]
[10,3,4,5,11,7,8,9,2,12,1,6]=>[12,9,10,3,4,1,11,7,8,5,2,6]
[6,3,4,5,9,10,8,12,11,7,1,2]=>[7,1,6,3,4,5,11,10,9,8,12,2]
[8,5,4,6,7,2,9,10,1,3,12,11]=>[10,7,1,5,8,4,6,2,9,3,12,11]
[10,5,4,6,7,2,11,9,3,12,1,8]=>[12,7,9,5,11,3,6,1,10,2,4,8]
[8,5,4,6,7,2,9,10,11,12,1,3]=>[12,7,1,5,8,4,6,2,9,10,11,3]
[2,7,4,8,6,3,9,1,10,5,12,11]=>[9,2,6,8,7,10,5,4,1,3,12,11]
[10,7,4,8,6,3,9,2,11,12,1,5]=>[12,9,6,8,1,7,10,3,4,2,11,5]
[2,9,4,10,6,3,8,5,11,1,12,7]=>[11,2,6,10,9,8,12,4,5,3,1,7]
[2,7,4,8,6,3,9,10,11,1,12,5]=>[11,2,6,8,7,12,5,4,9,10,1,3]
[10,5,4,6,7,8,9,2,11,12,1,3]=>[12,9,1,5,10,4,6,7,8,2,11,3]
[2,9,4,10,6,7,8,3,11,1,12,5]=>[11,2,8,9,12,10,6,7,4,3,1,5]
[2,5,4,8,9,7,11,10,6,1,12,3]=>[6,2,10,5,4,11,9,8,7,12,1,3]
[10,3,4,5,6,7,11,9,2,12,1,8]=>[12,9,11,2,4,5,6,1,10,7,3,8]
[10,7,4,5,6,8,9,2,11,12,1,3]=>[12,9,1,7,4,5,10,6,8,2,11,3]
[2,9,4,5,6,10,8,3,11,1,12,7]=>[11,2,8,10,3,5,9,12,7,4,1,6]
[10,3,6,5,7,8,2,9,11,12,1,4]=>[12,8,10,1,6,3,5,7,2,9,11,4]
[2,9,6,5,7,8,3,10,11,1,12,4]=>[11,2,8,12,6,9,5,7,3,10,1,4]
[2,3,8,5,9,7,4,10,1,11,12,6]=>[10,2,3,7,9,8,12,6,5,1,11,4]
[1,3,2,5,4,7,6,9,8,12,10,11]=>[1,3,2,5,4,7,6,9,8,12,10,11]
[1,3,2,5,4,7,6,8,10,12,9,11]=>[1,3,2,5,4,7,6,8,12,10,9,11]
[1,3,2,5,4,7,6,8,12,9,10,11]=>[1,3,2,5,4,7,6,8,12,9,10,11]
[1,3,2,5,4,6,8,9,7,12,10,11]=>[1,3,2,5,4,6,9,8,7,12,10,11]
[1,3,2,5,4,6,8,7,10,12,9,11]=>[1,3,2,5,4,6,8,7,12,10,9,11]
[1,3,2,5,4,6,8,7,12,9,10,11]=>[1,3,2,5,4,6,8,7,12,9,10,11]
[1,3,2,5,4,6,7,9,10,12,8,11]=>[1,3,2,5,4,6,7,12,9,10,8,11]
[1,3,2,5,4,6,7,9,12,8,10,11]=>[1,3,2,5,4,6,7,12,9,8,10,11]
[1,3,2,5,4,6,7,12,8,9,10,11]=>[1,3,2,5,4,6,7,12,8,9,10,11]
[1,3,2,4,6,7,5,9,8,12,10,11]=>[1,3,2,4,7,6,5,9,8,12,10,11]
[1,3,2,4,6,7,5,8,10,12,9,11]=>[1,3,2,4,7,6,5,8,12,10,9,11]
[1,3,2,4,6,7,5,8,12,9,10,11]=>[1,3,2,4,7,6,5,8,12,9,10,11]
[1,3,2,4,6,5,8,9,7,12,10,11]=>[1,3,2,4,6,5,9,8,7,12,10,11]
[1,3,2,4,6,5,8,7,10,12,9,11]=>[1,3,2,4,6,5,8,7,12,10,9,11]
[1,3,2,4,6,5,8,7,12,9,10,11]=>[1,3,2,4,6,5,8,7,12,9,10,11]
[1,3,2,4,6,5,7,9,10,12,8,11]=>[1,3,2,4,6,5,7,12,9,10,8,11]
[1,3,2,4,6,5,7,9,12,8,10,11]=>[1,3,2,4,6,5,7,12,9,8,10,11]
[1,3,2,4,6,5,7,12,8,9,10,11]=>[1,3,2,4,6,5,7,12,8,9,10,11]
[1,3,2,4,5,7,8,9,6,12,10,11]=>[1,3,2,4,5,9,7,8,6,12,10,11]
[1,3,2,4,5,7,8,6,10,12,9,11]=>[1,3,2,4,5,8,7,6,12,10,9,11]
[1,3,2,4,5,7,8,6,12,9,10,11]=>[1,3,2,4,5,8,7,6,12,9,10,11]
[1,3,2,4,5,7,6,9,10,12,8,11]=>[1,3,2,4,5,7,6,12,9,10,8,11]
[1,3,2,4,5,7,6,9,12,8,10,11]=>[1,3,2,4,5,7,6,12,9,8,10,11]
[1,3,2,4,5,7,6,12,8,9,10,11]=>[1,3,2,4,5,7,6,12,8,9,10,11]
[1,3,2,4,5,6,8,9,10,12,7,11]=>[1,3,2,4,5,6,12,8,9,10,7,11]
[1,3,2,4,5,6,8,9,12,7,10,11]=>[1,3,2,4,5,6,12,8,9,7,10,11]
[1,3,2,4,5,6,8,12,7,9,10,11]=>[1,3,2,4,5,6,12,8,7,9,10,11]
[1,3,2,4,5,6,12,7,8,9,10,11]=>[1,3,2,4,5,6,12,7,8,9,10,11]
[1,2,4,5,3,7,6,9,8,12,10,11]=>[1,2,5,4,3,7,6,9,8,12,10,11]
[1,2,4,5,3,7,6,8,10,12,9,11]=>[1,2,5,4,3,7,6,8,12,10,9,11]
[1,2,4,5,3,7,6,8,12,9,10,11]=>[1,2,5,4,3,7,6,8,12,9,10,11]
[1,2,4,5,3,6,8,9,7,12,10,11]=>[1,2,5,4,3,6,9,8,7,12,10,11]
[1,2,4,5,3,6,8,7,10,12,9,11]=>[1,2,5,4,3,6,8,7,12,10,9,11]
[1,2,4,5,3,6,8,7,12,9,10,11]=>[1,2,5,4,3,6,8,7,12,9,10,11]
[1,2,4,5,3,6,7,9,10,12,8,11]=>[1,2,5,4,3,6,7,12,9,10,8,11]
[1,2,4,5,3,6,7,9,12,8,10,11]=>[1,2,5,4,3,6,7,12,9,8,10,11]
[1,2,4,5,3,6,7,12,8,9,10,11]=>[1,2,5,4,3,6,7,12,8,9,10,11]
[1,2,4,3,6,7,5,9,8,12,10,11]=>[1,2,4,3,7,6,5,9,8,12,10,11]
[1,2,4,3,6,7,5,8,10,12,9,11]=>[1,2,4,3,7,6,5,8,12,10,9,11]
[1,2,4,3,6,7,5,8,12,9,10,11]=>[1,2,4,3,7,6,5,8,12,9,10,11]
[1,2,4,3,6,5,8,9,7,12,10,11]=>[1,2,4,3,6,5,9,8,7,12,10,11]
[1,2,4,3,6,5,8,7,10,12,9,11]=>[1,2,4,3,6,5,8,7,12,10,9,11]
[1,2,4,3,6,5,8,7,12,9,10,11]=>[1,2,4,3,6,5,8,7,12,9,10,11]
[1,2,4,3,6,5,7,9,10,12,8,11]=>[1,2,4,3,6,5,7,12,9,10,8,11]
[1,2,4,3,6,5,7,9,12,8,10,11]=>[1,2,4,3,6,5,7,12,9,8,10,11]
[1,2,4,3,6,5,7,12,8,9,10,11]=>[1,2,4,3,6,5,7,12,8,9,10,11]
[1,2,4,3,5,7,8,9,6,12,10,11]=>[1,2,4,3,5,9,7,8,6,12,10,11]
[1,2,4,3,5,7,8,6,10,12,9,11]=>[1,2,4,3,5,8,7,6,12,10,9,11]
[1,2,4,3,5,7,8,6,12,9,10,11]=>[1,2,4,3,5,8,7,6,12,9,10,11]
[1,2,4,3,5,7,6,9,10,12,8,11]=>[1,2,4,3,5,7,6,12,9,10,8,11]
[1,2,4,3,5,7,6,9,12,8,10,11]=>[1,2,4,3,5,7,6,12,9,8,10,11]
[1,2,4,3,5,7,6,12,8,9,10,11]=>[1,2,4,3,5,7,6,12,8,9,10,11]
[1,2,4,3,5,6,8,9,10,12,7,11]=>[1,2,4,3,5,6,12,8,9,10,7,11]
[1,2,4,3,5,6,8,9,12,7,10,11]=>[1,2,4,3,5,6,12,8,9,7,10,11]
[1,2,4,3,5,6,8,12,7,9,10,11]=>[1,2,4,3,5,6,12,8,7,9,10,11]
[1,2,4,3,5,6,12,7,8,9,10,11]=>[1,2,4,3,5,6,12,7,8,9,10,11]
[1,2,3,5,6,7,4,9,8,12,10,11]=>[1,2,3,7,5,6,4,9,8,12,10,11]
[1,2,3,5,6,7,4,8,10,12,9,11]=>[1,2,3,7,5,6,4,8,12,10,9,11]
[1,2,3,5,6,7,4,8,12,9,10,11]=>[1,2,3,7,5,6,4,8,12,9,10,11]
[1,2,3,5,6,4,8,9,7,12,10,11]=>[1,2,3,6,5,4,9,8,7,12,10,11]
[1,2,3,5,6,4,8,7,10,12,9,11]=>[1,2,3,6,5,4,8,7,12,10,9,11]
[1,2,3,5,6,4,8,7,12,9,10,11]=>[1,2,3,6,5,4,8,7,12,9,10,11]
[1,2,3,5,6,4,7,9,10,12,8,11]=>[1,2,3,6,5,4,7,12,9,10,8,11]
[1,2,3,5,6,4,7,9,12,8,10,11]=>[1,2,3,6,5,4,7,12,9,8,10,11]
[1,2,3,5,6,4,7,12,8,9,10,11]=>[1,2,3,6,5,4,7,12,8,9,10,11]
[1,2,3,5,4,7,8,9,6,12,10,11]=>[1,2,3,5,4,9,7,8,6,12,10,11]
[1,2,3,5,4,7,8,6,10,12,9,11]=>[1,2,3,5,4,8,7,6,12,10,9,11]
[1,2,3,5,4,7,8,6,12,9,10,11]=>[1,2,3,5,4,8,7,6,12,9,10,11]
[1,2,3,5,4,7,6,9,10,12,8,11]=>[1,2,3,5,4,7,6,12,9,10,8,11]
[1,2,3,5,4,7,6,9,12,8,10,11]=>[1,2,3,5,4,7,6,12,9,8,10,11]
[1,2,3,5,4,7,6,12,8,9,10,11]=>[1,2,3,5,4,7,6,12,8,9,10,11]
[1,2,3,5,4,6,8,9,10,12,7,11]=>[1,2,3,5,4,6,12,8,9,10,7,11]
[1,2,3,5,4,6,8,9,12,7,10,11]=>[1,2,3,5,4,6,12,8,9,7,10,11]
[1,2,3,5,4,6,8,12,7,9,10,11]=>[1,2,3,5,4,6,12,8,7,9,10,11]
[1,2,3,5,4,6,12,7,8,9,10,11]=>[1,2,3,5,4,6,12,7,8,9,10,11]
[1,2,3,4,6,7,8,9,5,12,10,11]=>[1,2,3,4,9,6,7,8,5,12,10,11]
[1,2,3,4,6,7,8,5,10,12,9,11]=>[1,2,3,4,8,6,7,5,12,10,9,11]
[1,2,3,4,6,7,8,5,12,9,10,11]=>[1,2,3,4,8,6,7,5,12,9,10,11]
[1,2,3,4,6,7,5,9,10,12,8,11]=>[1,2,3,4,7,6,5,12,9,10,8,11]
[1,2,3,4,6,7,5,9,12,8,10,11]=>[1,2,3,4,7,6,5,12,9,8,10,11]
[1,2,3,4,6,7,5,12,8,9,10,11]=>[1,2,3,4,7,6,5,12,8,9,10,11]
[1,2,3,4,6,5,8,9,10,12,7,11]=>[1,2,3,4,6,5,12,8,9,10,7,11]
[1,2,3,4,6,5,8,9,12,7,10,11]=>[1,2,3,4,6,5,12,8,9,7,10,11]
[1,2,3,4,6,5,8,12,7,9,10,11]=>[1,2,3,4,6,5,12,8,7,9,10,11]
[1,2,3,4,6,5,12,7,8,9,10,11]=>[1,2,3,4,6,5,12,7,8,9,10,11]
[1,2,3,4,5,7,8,9,10,12,6,11]=>[1,2,3,4,5,12,7,8,9,10,6,11]
[1,2,3,4,5,7,8,9,12,6,10,11]=>[1,2,3,4,5,12,7,8,9,6,10,11]
[1,2,3,4,5,7,8,12,6,9,10,11]=>[1,2,3,4,5,12,7,8,6,9,10,11]
[1,2,3,4,5,7,12,6,8,9,10,11]=>[1,2,3,4,5,12,7,6,8,9,10,11]
[12,10,11,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,11,8,12,10,5]
[12,11,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,11,8,9,12,4]
[12,11,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,11,9,12,4]
[12,11,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,11,9,12,5]
[12,11,10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,11,12,5]
[11,12,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,12,9,11,5]
[12,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,12,9,10,5]
[2,1,4,3,6,5,10,12,9,11,8,7]=>[2,1,4,3,6,5,8,11,12,10,9,7]
[2,1,4,3,8,10,7,9,6,5,12,11]=>[2,1,4,3,6,9,10,8,7,5,12,11]
[2,1,4,3,10,12,7,9,6,11,8,5]=>[2,1,4,3,8,11,9,12,5,10,7,6]
[2,1,4,3,10,7,12,8,9,11,6,5]=>[2,1,4,3,6,11,10,12,8,7,9,5]
[2,1,4,3,6,9,12,8,11,10,7,5]=>[2,1,4,3,7,6,10,11,9,12,5,8]
[2,1,4,6,5,3,10,12,9,11,8,7]=>[2,1,5,4,6,3,8,11,12,10,9,7]
[2,1,6,8,5,7,4,3,10,9,12,11]=>[2,1,4,7,8,6,5,3,10,9,12,11]
[2,1,6,8,5,7,4,3,10,12,11,9]=>[2,1,4,7,8,6,5,3,11,10,12,9]
[2,1,8,10,5,7,4,9,6,3,12,11]=>[2,1,6,9,7,10,3,8,5,4,12,11]
[2,1,10,12,5,7,4,9,6,11,8,3]=>[2,1,8,7,11,12,6,9,4,10,3,5]
[2,1,8,9,5,7,4,12,10,6,11,3]=>[2,1,11,7,9,10,5,8,4,12,6,3]
[2,1,10,7,5,12,8,4,9,11,6,3]=>[2,1,6,11,8,7,12,10,3,5,9,4]
[2,1,6,9,5,12,8,4,11,10,7,3]=>[2,1,7,10,8,6,11,9,5,12,4,3]
[2,1,6,7,5,8,12,9,4,10,11,3]=>[2,1,11,9,7,6,5,8,12,4,10,3]
[2,1,8,5,10,6,7,9,4,3,12,11]=>[2,1,4,9,8,10,6,5,7,3,12,11]
[2,1,10,5,12,6,7,9,4,11,8,3]=>[2,1,8,11,9,10,3,12,7,6,5,4]
[2,1,4,7,10,6,9,8,5,3,12,11]=>[2,1,5,4,8,9,7,10,3,6,12,11]
[2,1,10,7,12,6,9,8,5,11,4,3]=>[2,1,4,11,8,9,12,10,7,5,6,3]
[2,1,4,9,12,6,11,8,10,5,7,3]=>[2,1,7,4,10,12,5,11,9,8,6,3]
[2,1,10,5,6,12,7,8,9,11,4,3]=>[2,1,4,11,10,5,12,7,8,6,9,3]
[2,1,4,9,6,12,7,8,11,10,5,3]=>[2,1,5,4,10,9,11,3,6,12,8,7]
[2,1,4,5,8,12,7,11,9,10,6,3]=>[2,1,6,4,5,10,12,8,11,9,7,3]
[2,4,3,1,6,5,10,12,9,11,8,7]=>[3,2,4,1,6,5,8,11,12,10,9,7]
[2,4,3,1,8,10,7,9,6,5,12,11]=>[3,2,4,1,6,9,10,8,7,5,12,11]
[2,4,3,1,10,12,7,9,6,11,8,5]=>[3,2,4,1,8,11,9,12,5,10,7,6]
[2,4,3,1,10,7,12,8,9,11,6,5]=>[3,2,4,1,6,11,10,12,8,7,9,5]
[2,4,3,1,6,9,12,8,11,10,7,5]=>[3,2,4,1,7,6,10,11,9,12,5,8]
[4,6,3,5,2,1,8,7,10,9,12,11]=>[2,5,6,4,3,1,8,7,10,9,12,11]
[4,6,3,5,2,1,8,7,10,12,11,9]=>[2,5,6,4,3,1,8,7,11,10,12,9]
[4,6,3,5,2,1,8,10,9,7,12,11]=>[2,5,6,4,3,1,9,8,10,7,12,11]
[4,6,3,5,2,1,10,12,9,11,8,7]=>[2,5,6,4,3,1,8,11,12,10,9,7]
[4,6,3,5,2,1,8,9,12,10,11,7]=>[2,5,6,4,3,1,11,8,9,12,10,7]
[6,8,3,5,2,7,4,1,10,9,12,11]=>[4,7,5,8,1,6,3,2,10,9,12,11]
[6,8,3,5,2,7,4,1,10,12,11,9]=>[4,7,5,8,1,6,3,2,11,10,12,9]
[8,10,3,5,2,7,4,9,6,1,12,11]=>[6,5,9,10,4,7,2,8,1,3,12,11]
[10,12,3,5,2,7,4,9,6,11,8,1]=>[8,5,11,7,1,12,6,9,4,10,2,3]
[8,9,3,5,2,7,4,12,10,6,11,1]=>[11,5,9,7,3,10,2,8,4,12,6,1]
[6,7,3,5,2,10,8,4,9,1,12,11]=>[9,5,7,8,3,6,2,10,4,1,12,11]
[10,7,3,5,2,12,8,4,9,11,6,1]=>[6,5,11,7,1,10,8,12,4,2,9,3]
[6,9,3,5,2,12,8,4,11,10,7,1]=>[7,5,10,9,4,6,8,11,2,12,3,1]
[6,7,3,5,2,8,12,9,4,10,11,1]=>[11,5,7,9,3,6,2,8,12,4,10,1]
[8,5,3,10,6,2,7,9,4,1,12,11]=>[4,9,6,5,10,8,1,3,7,2,12,11]
[10,5,3,12,6,2,7,9,4,11,8,1]=>[8,6,5,11,12,10,3,9,7,2,1,4]
[8,5,3,9,6,2,7,12,10,4,11,1]=>[11,6,5,9,8,10,4,3,7,12,2,1]
[4,7,3,10,6,2,9,8,5,1,12,11]=>[5,8,6,4,9,7,3,10,2,1,12,11]
[10,7,3,12,6,2,9,8,5,11,4,1]=>[4,11,6,12,7,10,8,9,1,3,5,2]
[4,9,3,12,6,2,11,8,10,5,7,1]=>[7,6,12,4,9,10,2,11,5,8,3,1]
[4,7,3,8,6,2,12,10,9,5,11,1]=>[11,6,8,4,7,9,5,3,10,12,2,1]
[4,5,3,6,10,7,2,8,9,1,12,11]=>[9,7,5,4,3,6,10,2,8,1,12,11]
[10,5,3,6,12,7,2,8,9,11,4,1]=>[4,11,7,5,12,3,10,1,8,6,9,2]
[4,9,3,6,12,7,2,8,11,10,5,1]=>[5,10,7,4,11,3,9,2,6,12,8,1]
[4,5,3,8,12,7,2,11,9,10,6,1]=>[6,10,5,4,3,7,12,8,11,9,1,2]
[2,3,6,4,5,1,10,12,9,11,8,7]=>[5,2,3,6,4,1,8,11,12,10,9,7]
[6,3,8,4,5,7,2,1,10,9,12,11]=>[2,7,6,8,4,3,5,1,10,9,12,11]
[6,3,8,4,5,7,2,1,10,12,11,9]=>[2,7,6,8,4,3,5,1,11,10,12,9]
[8,3,10,4,5,7,2,9,6,1,12,11]=>[6,9,7,8,1,10,5,4,3,2,12,11]
[10,3,12,4,5,7,2,9,6,11,8,1]=>[8,7,11,10,1,12,6,9,2,4,5,3]
[8,3,9,4,5,7,2,12,10,6,11,1]=>[11,7,8,9,4,10,5,3,2,12,6,1]
[10,3,7,4,5,12,8,2,9,11,6,1]=>[6,11,8,12,1,7,3,10,4,5,9,2]
[6,3,9,4,5,12,8,2,11,10,7,1]=>[7,10,6,8,4,3,11,9,5,12,2,1]
[6,3,7,4,5,8,12,9,2,10,11,1]=>[11,9,6,7,4,3,5,8,12,2,10,1]
[2,5,8,4,7,6,3,1,10,9,12,11]=>[3,2,6,7,5,8,1,4,10,9,12,11]
[2,5,8,4,7,6,3,1,10,12,11,9]=>[3,2,6,7,5,8,1,4,11,10,12,9]
[8,5,10,4,7,6,3,9,2,1,12,11]=>[2,9,6,7,10,8,5,3,4,1,12,11]
[10,5,12,4,7,6,3,9,2,11,8,1]=>[8,11,6,7,9,12,3,10,4,1,5,2]
[8,5,9,4,7,6,3,12,10,2,11,1]=>[11,10,6,7,9,8,5,3,4,12,2,1]
[2,7,10,4,9,6,8,3,5,1,12,11]=>[5,2,8,10,3,9,7,6,4,1,12,11]
[10,7,12,4,9,6,8,3,5,11,2,1]=>[2,11,8,12,3,9,10,6,4,7,5,1]
[2,9,12,4,11,6,8,3,10,5,7,1]=>[7,2,8,12,10,11,5,6,9,3,4,1]
[2,7,8,4,12,6,10,9,3,5,11,1]=>[11,2,9,8,3,10,7,4,12,5,6,1]
[10,5,6,4,12,8,7,3,9,11,2,1]=>[2,11,7,6,8,5,12,10,3,4,9,1]
[2,9,6,4,12,8,7,3,11,10,5,1]=>[5,2,10,7,6,8,11,9,1,12,3,4]
[2,5,8,4,12,11,7,9,3,10,6,1]=>[6,2,10,9,5,8,11,1,7,4,12,3]
[2,5,6,4,7,12,9,8,3,10,11,1]=>[11,2,8,6,5,4,7,9,12,3,10,1]
[8,3,4,10,5,6,7,9,2,1,12,11]=>[2,9,8,3,10,5,6,4,7,1,12,11]
[10,3,4,12,5,6,7,9,2,11,8,1]=>[8,11,9,1,10,4,6,12,7,5,3,2]
[2,7,4,10,5,6,9,8,3,1,12,11]=>[3,2,8,7,9,1,4,10,6,5,12,11]
[10,7,4,12,5,6,9,8,3,11,2,1]=>[2,11,8,7,9,3,10,12,6,4,5,1]
[2,9,4,12,5,6,11,8,10,3,7,1]=>[7,2,10,9,12,5,3,11,4,8,6,1]
[2,3,6,10,5,9,7,8,4,1,12,11]=>[4,2,3,8,10,6,9,7,5,1,12,11]
[10,3,6,12,5,9,7,8,4,11,2,1]=>[2,11,10,8,12,3,9,7,5,6,4,1]
[2,9,6,12,5,11,7,8,10,4,3,1]=>[3,2,4,10,12,9,11,7,6,8,5,1]
[2,3,8,12,5,11,7,10,9,4,6,1]=>[6,2,3,9,10,5,12,8,11,4,7,1]
[10,3,4,5,12,6,7,8,9,11,2,1]=>[2,11,10,3,4,12,6,7,8,5,9,1]
[2,9,4,5,12,6,7,8,11,10,3,1]=>[3,2,10,9,4,11,1,7,5,12,8,6]
[2,3,8,5,12,6,7,11,9,10,4,1]=>[4,2,3,10,8,12,6,5,11,9,7,1]
[2,3,4,7,12,6,11,8,9,10,5,1]=>[5,2,3,4,10,12,7,11,8,9,6,1]
[2,1,4,3,6,5,10,9,11,12,8,7]=>[2,1,4,3,6,5,8,12,10,9,11,7]
[2,1,4,3,8,7,9,10,6,5,12,11]=>[2,1,4,3,6,10,8,7,9,5,12,11]
[2,1,4,3,10,7,9,11,6,12,8,5]=>[2,1,4,3,8,12,11,10,5,9,7,6]
[2,1,4,3,8,7,9,10,11,12,6,5]=>[2,1,4,3,6,12,8,7,9,10,11,5]
[2,1,4,3,10,7,8,9,11,12,6,5]=>[2,1,4,3,6,12,10,7,8,9,11,5]
[2,1,4,3,6,9,8,10,11,7,12,5]=>[2,1,4,3,12,6,11,9,8,10,7,5]
[2,1,4,5,6,3,10,9,11,12,8,7]=>[2,1,6,4,5,3,8,12,10,9,11,7]
[2,1,6,5,7,8,4,3,10,9,12,11]=>[2,1,4,8,6,5,7,3,10,9,12,11]
[2,1,6,5,7,8,4,3,10,11,12,9]=>[2,1,4,8,6,5,7,3,12,10,11,9]
[2,1,8,5,7,9,4,10,6,3,12,11]=>[2,1,6,10,9,8,3,7,5,4,12,11]
[2,1,10,5,7,9,4,11,6,12,8,3]=>[2,1,8,12,9,10,6,11,7,5,3,4]
[2,1,8,5,7,9,4,10,11,12,6,3]=>[2,1,6,12,9,8,3,7,5,10,11,4]
[2,1,6,5,7,8,9,10,4,3,12,11]=>[2,1,4,10,6,5,7,8,9,3,12,11]
[2,1,10,5,7,8,9,11,4,12,6,3]=>[2,1,6,12,11,10,3,7,8,9,5,4]
[2,1,6,5,9,8,10,11,12,4,7,3]=>[2,1,7,12,6,5,4,9,8,10,11,3]
[2,1,6,5,7,8,9,10,11,12,4,3]=>[2,1,4,12,6,5,7,8,9,10,11,3]
[2,1,8,5,6,7,9,10,4,3,12,11]=>[2,1,4,10,8,5,6,7,9,3,12,11]
[2,1,10,5,6,7,9,11,4,12,8,3]=>[2,1,8,12,11,3,6,10,7,9,5,4]
[2,1,8,5,6,7,9,10,11,12,4,3]=>[2,1,4,12,8,5,6,7,9,10,11,3]
[2,1,4,7,6,8,9,5,10,3,12,11]=>[2,1,10,4,9,7,6,8,5,3,12,11]
[2,1,10,7,6,8,9,5,11,12,4,3]=>[2,1,4,12,9,7,10,6,8,5,11,3]
[2,1,4,9,6,8,10,5,11,7,12,3]=>[2,1,12,4,10,9,11,6,8,5,7,3]
[2,1,4,7,6,8,9,10,11,5,12,3]=>[2,1,12,4,11,7,6,8,9,10,5,3]
[2,1,10,5,6,7,8,9,11,12,4,3]=>[2,1,4,12,10,5,6,7,8,9,11,3]
[2,1,4,9,6,7,8,10,11,5,12,3]=>[2,1,12,4,11,9,6,7,8,10,5,3]
[2,1,4,5,8,7,9,10,6,11,12,3]=>[2,1,12,4,5,10,8,7,9,6,11,3]
[2,3,4,1,6,5,10,9,11,12,8,7]=>[4,2,3,1,6,5,8,12,10,9,11,7]
[2,3,4,1,8,7,9,10,6,5,12,11]=>[4,2,3,1,6,10,8,7,9,5,12,11]
[2,3,4,1,10,7,9,11,6,12,8,5]=>[4,2,3,1,8,12,11,10,5,9,7,6]
[2,3,4,1,8,7,9,10,11,12,6,5]=>[4,2,3,1,6,12,8,7,9,10,11,5]
[2,3,4,1,10,7,8,9,11,12,6,5]=>[4,2,3,1,6,12,10,7,8,9,11,5]
[2,3,4,1,6,9,8,10,11,7,12,5]=>[4,2,3,1,12,6,11,9,8,10,7,5]
[4,3,5,6,2,1,8,7,10,9,12,11]=>[2,6,4,3,5,1,8,7,10,9,12,11]
[4,3,5,6,2,1,8,7,10,11,12,9]=>[2,6,4,3,5,1,8,7,12,10,11,9]
[4,3,5,6,2,1,8,9,10,7,12,11]=>[2,6,4,3,5,1,10,8,9,7,12,11]
[4,3,5,6,2,1,10,9,11,12,8,7]=>[2,6,4,3,5,1,8,12,10,9,11,7]
[4,3,5,6,2,1,8,9,10,11,12,7]=>[2,6,4,3,5,1,12,8,9,10,11,7]
[6,3,5,7,2,8,4,1,10,9,12,11]=>[4,8,7,6,1,5,3,2,10,9,12,11]
[6,3,5,7,2,8,4,1,10,11,12,9]=>[4,8,7,6,1,5,3,2,12,10,11,9]
[8,3,5,7,2,9,4,10,6,1,12,11]=>[6,10,7,8,4,9,5,3,1,2,12,11]
[10,3,5,7,2,9,4,11,6,12,8,1]=>[8,7,12,10,4,9,5,11,2,6,1,3]
[8,3,5,7,2,9,4,10,11,12,6,1]=>[6,12,7,8,4,9,5,3,1,10,11,2]
[6,3,5,7,2,8,9,10,4,1,12,11]=>[4,10,7,6,1,5,3,8,9,2,12,11]
[10,3,5,7,2,8,9,11,4,12,6,1]=>[6,12,7,10,4,11,5,3,8,9,1,2]
[6,3,5,9,2,8,10,11,12,4,7,1]=>[7,9,6,12,3,5,4,2,8,10,11,1]
[6,3,5,7,2,8,9,10,11,12,4,1]=>[4,12,7,6,1,5,3,8,9,10,11,2]
[4,3,5,6,7,8,2,1,10,9,12,11]=>[2,8,4,3,5,6,7,1,10,9,12,11]
[4,3,5,6,7,8,2,1,10,11,12,9]=>[2,8,4,3,5,6,7,1,12,10,11,9]
[8,3,5,6,7,9,2,10,4,1,12,11]=>[4,10,9,8,1,5,6,7,3,2,12,11]
[10,3,5,6,7,9,2,11,4,12,8,1]=>[8,12,9,10,4,5,6,11,7,3,1,2]
[8,3,5,6,7,9,2,10,11,12,4,1]=>[4,12,9,8,1,5,6,7,3,10,11,2]
[4,3,7,6,8,9,10,2,5,1,12,11]=>[5,10,4,3,2,7,6,8,9,1,12,11]
[10,3,7,6,8,9,11,2,5,12,4,1]=>[4,12,11,10,3,7,1,6,8,9,5,2]
[4,3,9,6,8,10,11,2,12,5,7,1]=>[7,11,4,3,12,9,5,6,8,10,2,1]
[4,3,7,6,8,9,10,11,12,2,5,1]=>[5,12,4,3,2,7,6,8,9,10,11,1]
[4,3,5,6,7,8,9,10,2,1,12,11]=>[2,10,4,3,5,6,7,8,9,1,12,11]
[10,3,5,6,7,8,9,11,2,12,4,1]=>[4,12,11,10,1,5,6,7,8,9,3,2]
[4,3,9,6,7,8,10,11,12,2,5,1]=>[5,12,4,3,2,9,6,7,8,10,11,1]
[4,3,5,8,7,9,10,11,2,12,6,1]=>[6,12,4,3,5,11,8,7,9,10,1,2]
[4,3,5,6,7,8,9,10,11,12,2,1]=>[2,12,4,3,5,6,7,8,9,10,11,1]
[2,3,4,5,6,1,10,9,11,12,8,7]=>[6,2,3,4,5,1,8,12,10,9,11,7]
[6,3,4,5,7,8,2,1,10,9,12,11]=>[2,8,6,3,4,5,7,1,10,9,12,11]
[6,3,4,5,7,8,2,1,10,11,12,9]=>[2,8,6,3,4,5,7,1,12,10,11,9]
[8,3,4,5,7,9,2,10,6,1,12,11]=>[6,10,9,1,4,8,5,7,3,2,12,11]
[10,3,4,5,7,9,2,11,6,12,8,1]=>[8,12,9,1,4,10,6,11,7,3,5,2]
[8,3,4,5,7,9,2,10,11,12,6,1]=>[6,12,9,1,4,8,5,7,3,10,11,2]
[6,3,4,5,7,8,9,10,2,1,12,11]=>[2,10,6,3,4,5,7,8,9,1,12,11]
[10,3,4,5,7,8,9,11,2,12,6,1]=>[6,12,11,1,4,10,5,7,8,9,3,2]
[6,3,4,5,9,8,10,11,12,2,7,1]=>[7,12,6,3,4,5,2,9,8,10,11,1]
[6,3,4,5,7,8,9,10,11,12,2,1]=>[2,12,6,3,4,5,7,8,9,10,11,1]
[2,5,4,6,7,3,8,1,10,9,12,11]=>[8,2,7,5,4,6,3,1,10,9,12,11]
[2,5,4,6,7,3,8,1,10,11,12,9]=>[8,2,7,5,4,6,3,1,12,10,11,9]
[8,5,4,6,7,3,9,10,2,1,12,11]=>[2,10,7,5,8,4,6,3,9,1,12,11]
[10,5,4,6,7,3,9,11,2,12,8,1]=>[8,12,7,5,11,1,6,10,3,9,4,2]
[8,5,4,6,7,3,9,10,11,12,2,1]=>[2,12,7,5,8,4,6,3,9,10,11,1]
[2,7,4,6,8,3,9,5,10,1,12,11]=>[10,2,8,7,9,4,6,3,5,1,12,11]
[10,7,4,6,8,3,9,5,11,12,2,1]=>[2,12,8,7,10,5,9,6,3,4,11,1]
[2,9,4,6,8,3,10,5,11,7,12,1]=>[12,2,8,9,10,4,11,6,3,5,7,1]
[2,7,4,6,8,3,9,10,11,5,12,1]=>[12,2,8,7,11,4,6,3,9,10,5,1]
[2,5,4,6,7,8,9,3,10,1,12,11]=>[10,2,9,5,4,6,7,8,3,1,12,11]
[10,5,4,6,7,8,9,3,11,12,2,1]=>[2,12,9,5,10,4,6,7,8,3,11,1]
[2,9,4,6,7,8,10,3,11,5,12,1]=>[12,2,10,9,11,4,6,7,8,3,5,1]
[2,5,4,8,7,9,10,11,3,6,12,1]=>[12,2,11,5,4,3,8,7,9,10,6,1]
[2,5,4,6,7,8,9,10,11,3,12,1]=>[12,2,11,5,4,6,7,8,9,10,3,1]
[8,3,4,5,6,7,9,10,2,1,12,11]=>[2,10,8,3,4,5,6,7,9,1,12,11]
[10,3,4,5,6,7,9,11,2,12,8,1]=>[8,12,11,1,4,5,6,10,7,9,3,2]
[8,3,4,5,6,7,9,10,11,12,2,1]=>[2,12,8,3,4,5,6,7,9,10,11,1]
[2,7,4,5,6,8,9,3,10,1,12,11]=>[10,2,9,7,4,5,6,8,3,1,12,11]
[10,7,4,5,6,8,9,3,11,12,2,1]=>[2,12,9,7,4,5,10,6,8,3,11,1]
[2,9,4,5,6,8,10,3,11,7,12,1]=>[12,2,10,9,4,5,11,6,8,3,7,1]
[2,7,4,5,6,8,9,10,11,3,12,1]=>[12,2,11,7,4,5,6,8,9,10,3,1]
[2,3,6,5,7,8,4,9,10,1,12,11]=>[10,2,3,8,6,5,7,4,9,1,12,11]
[10,3,6,5,7,8,4,9,11,12,2,1]=>[2,12,10,8,6,3,5,7,4,9,11,1]
[2,9,6,5,7,8,4,10,11,3,12,1]=>[12,2,11,8,6,9,5,7,4,10,3,1]
[2,3,8,5,7,9,4,10,6,11,12,1]=>[12,2,3,9,8,10,5,7,4,6,11,1]
[2,3,6,5,7,8,9,10,4,11,12,1]=>[12,2,3,10,6,5,7,8,9,4,11,1]
[10,3,4,5,6,7,8,9,11,12,2,1]=>[2,12,10,3,4,5,6,7,8,9,11,1]
[2,9,4,5,6,7,8,10,11,3,12,1]=>[12,2,11,9,4,5,6,7,8,10,3,1]
[2,3,8,5,6,7,9,10,4,11,12,1]=>[12,2,3,10,8,5,6,7,9,4,11,1]
[2,3,4,7,6,8,9,5,10,11,12,1]=>[12,2,3,4,9,7,6,8,5,10,11,1]
[2,12,11,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,11,12,1]
[3,2,5,4,7,6,9,8,1,10,11,12]=>[8,3,2,5,4,7,6,9,1,10,11,12]
[3,2,5,4,7,6,1,11,10,8,9,12]=>[6,3,2,5,4,7,1,10,8,11,9,12]
[3,2,5,4,7,6,1,8,9,10,11,12]=>[6,3,2,5,4,7,1,8,9,10,11,12]
[3,2,5,4,9,8,7,6,1,10,11,12]=>[6,3,2,5,4,7,8,9,1,10,11,12]
[3,2,5,4,1,9,8,11,10,6,7,12]=>[4,3,2,5,1,10,6,9,8,11,7,12]
[3,2,5,4,1,9,8,6,7,10,11,12]=>[4,3,2,5,1,8,6,9,7,10,11,12]
[3,2,5,4,1,11,10,9,8,6,7,12]=>[4,3,2,5,1,8,6,9,10,11,7,12]
[3,2,5,4,1,6,11,10,7,8,9,12]=>[4,3,2,5,1,6,10,7,8,11,9,12]
[3,2,5,4,1,6,7,8,9,10,11,12]=>[4,3,2,5,1,6,7,8,9,10,11,12]
[3,2,7,6,5,4,9,8,1,10,11,12]=>[8,3,2,5,6,7,4,9,1,10,11,12]
[3,2,7,6,5,4,1,11,10,8,9,12]=>[4,3,2,5,6,7,1,10,8,11,9,12]
[3,2,7,6,5,4,1,8,9,10,11,12]=>[4,3,2,5,6,7,1,8,9,10,11,12]
[3,2,9,6,5,8,7,4,1,10,11,12]=>[4,3,2,7,6,8,9,1,5,10,11,12]
[3,2,1,7,6,9,8,11,10,4,5,12]=>[2,3,1,10,4,7,6,9,8,11,5,12]
[3,2,1,7,6,9,8,4,5,10,11,12]=>[2,3,1,8,4,7,6,9,5,10,11,12]
[3,2,1,7,6,11,10,9,8,4,5,12]=>[2,3,1,8,4,7,6,9,10,11,5,12]
[3,2,1,7,6,4,11,10,5,8,9,12]=>[2,3,1,6,7,10,5,4,8,11,9,12]
[3,2,1,7,6,4,5,8,9,10,11,12]=>[2,3,1,6,4,7,5,8,9,10,11,12]
[3,2,9,8,7,6,5,4,1,10,11,12]=>[4,3,2,5,6,7,8,9,1,10,11,12]
[3,2,1,9,8,7,6,11,10,4,5,12]=>[2,3,1,10,4,7,8,9,6,11,5,12]
[3,2,1,9,8,7,6,4,5,10,11,12]=>[2,3,1,6,4,7,8,9,5,10,11,12]
[3,2,1,11,8,7,10,9,6,4,5,12]=>[2,3,1,6,4,9,8,10,11,5,7,12]
[3,2,1,4,9,8,11,10,5,6,7,12]=>[2,3,1,4,10,5,6,9,8,11,7,12]
[3,2,1,4,9,8,5,6,7,10,11,12]=>[2,3,1,4,8,5,6,9,7,10,11,12]
[3,2,1,11,10,9,8,7,6,4,5,12]=>[2,3,1,6,4,7,8,9,10,11,5,12]
[3,2,1,4,11,10,9,8,5,6,7,12]=>[2,3,1,4,8,5,6,9,10,11,7,12]
[3,2,1,4,5,11,10,6,7,8,9,12]=>[2,3,1,4,5,10,6,7,8,11,9,12]
[3,2,1,4,5,6,7,8,9,10,11,12]=>[2,3,1,4,5,6,7,8,9,10,11,12]
[5,4,3,2,7,6,9,8,1,10,11,12]=>[8,3,4,5,2,7,6,9,1,10,11,12]
[5,4,3,2,7,6,1,11,10,8,9,12]=>[6,3,4,5,2,7,1,10,8,11,9,12]
[5,4,3,2,7,6,1,8,9,10,11,12]=>[6,3,4,5,2,7,1,8,9,10,11,12]
[5,4,3,2,9,8,7,6,1,10,11,12]=>[6,3,4,5,2,7,8,9,1,10,11,12]
[5,4,3,2,1,9,8,11,10,6,7,12]=>[2,3,4,5,1,10,6,9,8,11,7,12]
[5,4,3,2,1,9,8,6,7,10,11,12]=>[2,3,4,5,1,8,6,9,7,10,11,12]
[5,4,3,2,1,11,10,9,8,6,7,12]=>[2,3,4,5,1,8,6,9,10,11,7,12]
[5,4,3,2,1,6,11,10,7,8,9,12]=>[2,3,4,5,1,6,10,7,8,11,9,12]
[5,4,3,2,1,6,7,8,9,10,11,12]=>[2,3,4,5,1,6,7,8,9,10,11,12]
[7,4,3,6,5,2,9,8,1,10,11,12]=>[8,5,4,6,7,2,3,9,1,10,11,12]
[7,4,3,6,5,2,1,11,10,8,9,12]=>[2,5,4,6,7,1,3,10,8,11,9,12]
[7,4,3,6,5,2,1,8,9,10,11,12]=>[2,5,4,6,7,1,3,8,9,10,11,12]
[9,4,3,6,5,8,7,2,1,10,11,12]=>[2,7,4,8,6,1,9,5,3,10,11,12]
[1,5,4,7,6,9,8,11,10,2,3,12]=>[1,10,2,5,4,7,6,9,8,11,3,12]
[1,5,4,7,6,9,8,2,3,10,11,12]=>[1,8,2,5,4,7,6,9,3,10,11,12]
[1,5,4,7,6,11,10,9,8,2,3,12]=>[1,8,2,5,4,7,6,9,10,11,3,12]
[1,5,4,7,6,2,11,10,3,8,9,12]=>[1,6,7,5,4,10,3,2,8,11,9,12]
[1,5,4,7,6,2,3,8,9,10,11,12]=>[1,6,2,5,4,7,3,8,9,10,11,12]
[9,4,3,8,7,6,5,2,1,10,11,12]=>[2,5,4,6,7,8,9,1,3,10,11,12]
[1,5,4,9,8,7,6,11,10,2,3,12]=>[1,10,2,5,4,7,8,9,6,11,3,12]
[1,5,4,9,8,7,6,2,3,10,11,12]=>[1,6,2,5,4,7,8,9,3,10,11,12]
[1,5,4,11,8,7,10,9,6,2,3,12]=>[1,6,2,5,4,9,8,10,11,3,7,12]
[1,5,4,2,9,8,11,10,3,6,7,12]=>[1,4,5,10,3,2,6,9,8,11,7,12]
[1,5,4,2,9,8,3,6,7,10,11,12]=>[1,4,5,8,3,2,6,9,7,10,11,12]
[1,5,4,11,10,9,8,7,6,2,3,12]=>[1,6,2,5,4,7,8,9,10,11,3,12]
[1,5,4,2,11,10,9,8,3,6,7,12]=>[1,4,5,8,3,2,6,9,10,11,7,12]
[1,5,4,2,3,11,10,6,7,8,9,12]=>[1,4,2,5,3,10,6,7,8,11,9,12]
[1,5,4,2,3,6,7,8,9,10,11,12]=>[1,4,2,5,3,6,7,8,9,10,11,12]
[7,6,5,4,3,2,9,8,1,10,11,12]=>[8,3,4,5,6,7,2,9,1,10,11,12]
[7,6,5,4,3,2,1,11,10,8,9,12]=>[2,3,4,5,6,7,1,10,8,11,9,12]
[9,6,5,4,3,8,7,2,1,10,11,12]=>[2,7,4,5,6,8,9,1,3,10,11,12]
[1,7,6,5,4,9,8,11,10,2,3,12]=>[1,10,2,5,6,7,4,9,8,11,3,12]
[1,7,6,5,4,9,8,2,3,10,11,12]=>[1,8,2,5,6,7,4,9,3,10,11,12]
[1,7,6,5,4,11,10,9,8,2,3,12]=>[1,8,2,5,6,7,4,9,10,11,3,12]
[1,7,6,5,4,2,11,10,3,8,9,12]=>[1,4,5,6,7,10,3,2,8,11,9,12]
[1,7,6,5,4,2,3,8,9,10,11,12]=>[1,4,2,5,6,7,3,8,9,10,11,12]
[9,8,5,4,7,6,3,2,1,10,11,12]=>[2,3,6,5,7,8,1,9,4,10,11,12]
[1,9,6,5,8,7,4,11,10,2,3,12]=>[1,10,2,7,6,8,9,4,5,11,3,12]
[1,9,6,5,8,7,4,2,3,10,11,12]=>[1,4,2,7,6,8,9,3,5,10,11,12]
[1,11,6,5,8,7,10,9,4,2,3,12]=>[1,4,2,9,6,10,8,3,11,7,5,12]
[1,2,7,6,9,8,11,10,3,4,5,12]=>[1,2,10,3,4,7,6,9,8,11,5,12]
[1,2,7,6,9,8,3,4,5,10,11,12]=>[1,2,8,3,4,7,6,9,5,10,11,12]
[1,11,6,5,10,9,8,7,4,2,3,12]=>[1,4,2,7,6,8,9,10,11,3,5,12]
[1,2,7,6,11,10,9,8,3,4,5,12]=>[1,2,8,3,4,7,6,9,10,11,5,12]
[1,2,7,6,3,11,10,4,5,8,9,12]=>[1,2,6,7,3,10,4,5,8,11,9,12]
[1,2,7,6,3,4,5,8,9,10,11,12]=>[1,2,6,3,4,7,5,8,9,10,11,12]
[9,8,7,6,5,4,3,2,1,10,11,12]=>[2,3,4,5,6,7,8,9,1,10,11,12]
[1,9,8,7,6,5,4,11,10,2,3,12]=>[1,10,2,5,6,7,8,9,4,11,3,12]
[1,9,8,7,6,5,4,2,3,10,11,12]=>[1,4,2,5,6,7,8,9,3,10,11,12]
[1,11,8,7,6,5,10,9,4,2,3,12]=>[1,4,2,9,6,7,8,10,11,3,5,12]
[1,2,9,8,7,6,11,10,3,4,5,12]=>[1,2,10,3,4,7,8,9,6,11,5,12]
[1,2,9,8,7,6,3,4,5,10,11,12]=>[1,2,6,3,4,7,8,9,5,10,11,12]
[1,11,10,7,6,9,8,5,4,2,3,12]=>[1,4,2,5,8,7,9,10,3,11,6,12]
[1,2,11,8,7,10,9,6,3,4,5,12]=>[1,2,6,3,4,9,8,10,11,5,7,12]
[1,2,3,9,8,11,10,4,5,6,7,12]=>[1,2,3,10,4,5,6,9,8,11,7,12]
[1,2,3,9,8,4,5,6,7,10,11,12]=>[1,2,3,8,4,5,6,9,7,10,11,12]
[1,11,10,9,8,7,6,5,4,2,3,12]=>[1,4,2,5,6,7,8,9,10,11,3,12]
[1,2,11,10,9,8,7,6,3,4,5,12]=>[1,2,6,3,4,7,8,9,10,11,5,12]
[1,2,3,11,10,9,8,4,5,6,7,12]=>[1,2,3,8,4,5,6,9,10,11,7,12]
[1,2,3,4,11,10,5,6,7,8,9,12]=>[1,2,3,4,10,5,6,7,8,11,9,12]
[11,2,3,4,5,6,7,8,9,12,1,10]=>[12,11,2,3,4,5,6,7,8,1,9,10]
[12,2,3,4,5,6,7,8,9,10,11,1]=>[11,12,2,3,4,5,6,7,8,9,10,1]
[11,2,3,4,5,6,7,8,9,10,12,1]=>[12,11,2,3,4,5,6,7,8,9,10,1]
[11,12,9,10,7,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,7,12,9,11,1]
[11,12,9,10,7,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,7,12,9,11,3]
[11,12,9,10,7,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,7,12,9,11,2]
[11,12,9,10,7,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,7,12,9,11,2]
[11,12,9,10,7,5,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,2,12,9,11,5]
[11,12,9,10,7,5,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,1,12,9,11,5]
[11,12,9,10,7,5,8,3,6,4,1,2]=>[4,1,6,8,7,2,10,5,12,9,11,3]
[11,12,9,10,7,5,8,3,6,1,4,2]=>[6,4,8,1,7,3,10,5,12,9,11,2]
[11,12,9,10,7,5,8,3,1,6,4,2]=>[3,8,4,6,7,2,10,5,12,9,11,1]
[11,12,9,10,7,5,3,8,6,4,1,2]=>[4,1,6,5,8,7,10,3,12,9,11,2]
[11,12,9,10,7,5,3,8,6,1,4,2]=>[6,4,5,3,8,7,10,1,12,9,11,2]
[11,12,9,10,7,5,3,8,1,6,4,2]=>[8,4,6,5,7,1,10,2,12,9,11,3]
[11,12,9,10,7,5,3,1,8,6,4,2]=>[3,5,4,7,6,10,8,2,12,9,11,1]
[11,12,9,7,10,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,9,12,2,11,7]
[11,12,9,7,10,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,9,12,1,11,7]
[11,12,9,7,10,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,9,12,3,11,7]
[11,12,9,7,10,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,9,12,2,11,7]
[11,12,9,7,10,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,9,12,2,11,7]
[11,12,9,7,10,5,8,6,3,4,1,2]=>[4,1,6,3,8,10,9,2,12,7,11,5]
[11,12,9,7,10,5,8,6,3,1,4,2]=>[3,6,4,2,8,10,9,1,12,7,11,5]
[11,12,9,7,10,5,8,3,6,4,1,2]=>[4,1,6,8,10,2,9,5,12,7,11,3]
[11,12,9,7,10,5,8,3,6,1,4,2]=>[6,4,8,1,10,3,9,5,12,7,11,2]
[11,12,9,7,10,5,8,3,1,6,4,2]=>[3,8,4,6,10,2,9,5,12,7,11,1]
[11,12,9,7,10,5,3,8,6,4,1,2]=>[4,1,6,5,8,10,9,3,12,7,11,2]
[11,12,9,7,10,5,3,8,6,1,4,2]=>[6,4,5,3,8,10,9,1,12,7,11,2]
[11,12,9,7,10,5,3,8,1,6,4,2]=>[8,4,6,5,10,1,9,2,12,7,11,3]
[11,12,9,7,10,5,3,1,8,6,4,2]=>[3,5,4,10,6,8,9,1,12,7,11,2]
[11,12,9,7,5,10,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,9,12,5,11,2]
[11,12,9,7,5,10,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,9,12,5,11,1]
[11,12,9,7,5,10,8,3,6,4,1,2]=>[4,1,6,8,7,5,10,9,12,2,11,3]
[11,12,9,7,5,10,8,3,6,1,4,2]=>[6,4,8,1,7,5,10,9,12,3,11,2]
[11,12,9,7,5,10,8,3,1,6,4,2]=>[3,8,4,6,7,5,10,9,12,2,11,1]
[11,12,9,7,5,10,3,8,6,4,1,2]=>[4,1,6,8,10,7,9,5,12,3,11,2]
[11,12,9,7,5,10,3,8,6,1,4,2]=>[6,4,8,3,10,7,9,5,12,1,11,2]
[11,12,9,7,5,10,3,8,1,6,4,2]=>[8,4,6,10,7,1,9,2,12,5,11,3]
[11,12,9,7,5,10,3,1,8,6,4,2]=>[3,10,4,6,8,7,9,2,12,1,11,5]
[11,12,9,7,5,3,10,8,6,4,1,2]=>[4,1,6,5,8,7,10,9,12,2,11,3]
[11,12,9,7,5,3,10,8,6,1,4,2]=>[6,4,5,1,8,7,10,9,12,3,11,2]
[11,12,9,7,5,3,10,8,1,6,4,2]=>[8,4,6,5,7,2,10,9,12,1,11,3]
[11,12,9,7,5,3,10,1,8,6,4,2]=>[10,4,6,5,8,7,9,1,12,3,11,2]
[11,12,9,7,5,3,1,10,8,6,4,2]=>[3,5,4,7,6,9,8,12,10,1,11,2]
[11,9,12,10,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,7,12,11,2,9]
[11,9,12,10,7,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,7,12,11,1,9]
[11,9,12,10,7,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,7,12,11,3,9]
[11,9,12,10,7,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,7,12,11,2,9]
[11,9,12,10,7,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,7,12,11,2,9]
[11,9,12,10,7,5,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,2,12,11,5,9]
[11,9,12,10,7,5,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,1,12,11,5,9]
[11,9,12,10,7,5,8,3,6,4,1,2]=>[4,1,6,8,7,2,10,5,12,11,3,9]
[11,9,12,10,7,5,8,3,6,1,4,2]=>[6,4,8,1,7,3,10,5,12,11,2,9]
[11,9,12,10,7,5,8,3,1,6,4,2]=>[3,8,4,6,7,2,10,5,12,11,1,9]
[11,9,12,10,7,5,3,8,6,4,1,2]=>[4,1,6,5,8,7,10,3,12,11,2,9]
[11,9,12,10,7,5,3,8,6,1,4,2]=>[6,4,5,3,8,7,10,1,12,11,2,9]
[11,9,12,10,7,5,3,8,1,6,4,2]=>[8,4,6,5,7,1,10,2,12,11,3,9]
[11,9,12,10,7,5,3,1,8,6,4,2]=>[3,5,4,7,6,10,8,2,12,11,1,9]
[11,9,12,7,10,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,12,11,2,9,7]
[11,9,12,7,10,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,12,11,1,9,7]
[11,9,12,7,10,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,12,11,3,9,7]
[11,9,12,7,10,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,12,11,2,9,7]
[11,9,12,7,10,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,12,11,2,9,7]
[11,9,12,7,10,5,8,6,3,4,1,2]=>[4,1,6,3,8,10,12,2,11,7,9,5]
[11,9,12,7,10,5,8,6,3,1,4,2]=>[3,6,4,2,8,10,12,1,11,7,9,5]
[11,9,12,7,10,5,8,3,6,4,1,2]=>[4,1,6,8,10,2,12,5,11,7,9,3]
[11,9,12,7,10,5,8,3,6,1,4,2]=>[6,4,8,1,10,3,12,5,11,7,9,2]
[11,9,12,7,10,5,8,3,1,6,4,2]=>[3,8,4,6,10,2,12,5,11,7,9,1]
[11,9,12,7,10,5,3,8,6,4,1,2]=>[4,1,6,5,8,10,12,3,11,7,9,2]
[11,9,12,7,10,5,3,8,6,1,4,2]=>[6,4,5,3,8,10,12,1,11,7,9,2]
[11,9,12,7,10,5,3,8,1,6,4,2]=>[8,4,6,5,10,1,12,2,11,7,9,3]
[11,9,12,7,10,5,3,1,8,6,4,2]=>[3,5,4,10,6,8,12,1,11,7,9,2]
[11,9,12,7,5,10,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,12,11,5,9,2]
[11,9,12,7,5,10,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,12,11,5,9,1]
[11,9,12,7,5,10,8,3,6,4,1,2]=>[4,1,6,8,7,5,10,12,11,2,9,3]
[11,9,12,7,5,10,8,3,6,1,4,2]=>[6,4,8,1,7,5,10,12,11,3,9,2]
[11,9,12,7,5,10,8,3,1,6,4,2]=>[3,8,4,6,7,5,10,12,11,2,9,1]
[11,9,12,7,5,10,3,8,6,4,1,2]=>[4,1,6,8,10,7,12,5,11,3,9,2]
[11,9,12,7,5,10,3,8,6,1,4,2]=>[6,4,8,3,10,7,12,5,11,1,9,2]
[11,9,12,7,5,10,3,8,1,6,4,2]=>[8,4,6,10,7,1,12,2,11,5,9,3]
[11,9,12,7,5,10,3,1,8,6,4,2]=>[3,10,4,6,8,7,12,2,11,1,9,5]
[11,9,12,7,5,3,10,8,6,4,1,2]=>[4,1,6,5,8,7,10,12,11,2,9,3]
[11,9,12,7,5,3,10,8,6,1,4,2]=>[6,4,5,1,8,7,10,12,11,3,9,2]
[11,9,12,7,5,3,10,8,1,6,4,2]=>[8,4,6,5,7,2,10,12,11,1,9,3]
[11,9,12,7,5,3,10,1,8,6,4,2]=>[10,4,6,5,8,7,12,1,11,3,9,2]
[11,9,12,7,5,3,1,10,8,6,4,2]=>[3,5,4,7,6,12,8,10,11,2,9,1]
[11,9,7,12,10,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,9,12,11,7,2]
[11,9,7,12,10,8,5,6,3,1,4,2]=>[3,6,4,2,8,5,10,9,12,11,7,1]
[11,9,7,12,10,8,5,3,6,4,1,2]=>[4,1,6,5,8,2,10,9,12,11,7,3]
[11,9,7,12,10,8,5,3,6,1,4,2]=>[6,4,5,1,8,3,10,9,12,11,7,2]
[11,9,7,12,10,8,5,3,1,6,4,2]=>[3,5,4,8,6,1,10,9,12,11,7,2]
[11,9,7,12,10,5,8,6,3,4,1,2]=>[4,1,6,3,8,10,9,7,12,11,2,5]
[11,9,7,12,10,5,8,6,3,1,4,2]=>[3,6,4,2,8,10,9,7,12,11,1,5]
[11,9,7,12,10,5,8,3,6,4,1,2]=>[4,1,6,8,10,2,9,7,12,11,5,3]
[11,9,7,12,10,5,8,3,6,1,4,2]=>[6,4,8,1,10,3,9,7,12,11,5,2]
[11,9,7,12,10,5,8,3,1,6,4,2]=>[3,8,4,6,10,2,9,7,12,11,5,1]
[11,9,7,12,10,5,3,8,6,4,1,2]=>[4,1,6,5,8,10,9,7,12,11,3,2]
[11,9,7,12,10,5,3,8,6,1,4,2]=>[6,4,5,3,8,10,9,7,12,11,1,2]
[11,9,7,12,10,5,3,8,1,6,4,2]=>[8,4,6,5,10,1,9,7,12,11,2,3]
[11,9,7,12,10,5,3,1,8,6,4,2]=>[3,5,4,10,6,8,9,7,12,11,1,2]
[11,9,7,12,5,10,8,6,3,4,1,2]=>[4,1,6,3,8,10,12,9,11,7,5,2]
[11,9,7,12,5,10,8,6,3,1,4,2]=>[3,6,4,2,8,10,12,9,11,7,5,1]
[11,9,7,12,5,10,8,3,6,4,1,2]=>[4,1,6,8,10,5,12,9,11,7,2,3]
[11,9,7,12,5,10,8,3,6,1,4,2]=>[6,4,8,1,10,5,12,9,11,7,3,2]
[11,9,7,12,5,10,8,3,1,6,4,2]=>[3,8,4,6,10,5,12,9,11,7,2,1]
[11,9,7,12,5,10,3,8,6,4,1,2]=>[4,1,6,8,10,12,9,5,11,3,7,2]
[11,9,7,12,5,10,3,8,6,1,4,2]=>[6,4,8,3,10,12,9,5,11,1,7,2]
[11,9,7,12,5,10,3,8,1,6,4,2]=>[8,4,6,10,12,1,9,2,11,5,7,3]
[11,9,7,12,5,10,3,1,8,6,4,2]=>[3,10,4,6,8,12,9,2,11,1,7,5]
[11,9,7,12,5,3,10,8,6,4,1,2]=>[4,1,6,5,8,10,12,9,11,7,2,3]
[11,9,7,12,5,3,10,8,6,1,4,2]=>[6,4,5,1,8,10,12,9,11,7,3,2]
[11,9,7,12,5,3,10,8,1,6,4,2]=>[8,4,6,5,10,2,12,9,11,7,1,3]
[11,9,7,12,5,3,10,1,8,6,4,2]=>[10,4,6,5,8,12,9,1,11,3,7,2]
[11,9,7,12,5,3,1,10,8,6,4,2]=>[3,5,4,12,6,8,10,9,11,1,2,7]
[11,9,7,5,12,10,8,6,3,4,1,2]=>[4,1,6,3,8,7,10,9,12,11,2,5]
[11,9,7,5,12,10,8,6,3,1,4,2]=>[3,6,4,2,8,7,10,9,12,11,1,5]
[11,9,7,5,12,10,8,3,6,4,1,2]=>[4,1,6,8,7,2,10,9,12,11,5,3]
[11,9,7,5,12,10,8,3,6,1,4,2]=>[6,4,8,1,7,3,10,9,12,11,5,2]
[11,9,7,5,12,10,8,3,1,6,4,2]=>[3,8,4,6,7,2,10,9,12,11,5,1]
[11,9,7,5,12,10,3,8,6,4,1,2]=>[4,1,6,8,10,7,9,3,12,11,5,2]
[11,9,7,5,12,10,3,8,6,1,4,2]=>[6,4,8,3,10,7,9,1,12,11,5,2]
[11,9,7,5,12,10,3,8,1,6,4,2]=>[8,4,6,10,7,1,9,5,12,11,2,3]
[11,9,7,5,12,10,3,1,8,6,4,2]=>[3,10,4,6,8,7,9,1,12,11,2,5]
[11,9,7,5,12,3,10,8,6,4,1,2]=>[4,1,6,8,10,7,12,9,11,3,2,5]
[11,9,7,5,12,3,10,8,6,1,4,2]=>[6,4,8,3,10,7,12,9,11,1,2,5]
[11,9,7,5,12,3,10,8,1,6,4,2]=>[8,4,6,10,7,2,12,9,11,5,1,3]
[11,9,7,5,12,3,10,1,8,6,4,2]=>[10,4,6,8,12,7,9,1,11,5,3,2]
[11,9,7,5,12,3,1,10,8,6,4,2]=>[3,12,4,6,8,7,10,9,11,2,5,1]
[11,9,7,5,3,12,10,8,6,4,1,2]=>[4,1,6,5,8,7,10,9,12,11,3,2]
[11,9,7,5,3,12,10,8,6,1,4,2]=>[6,4,5,3,8,7,10,9,12,11,1,2]
[11,9,7,5,3,12,10,8,1,6,4,2]=>[8,4,6,5,7,1,10,9,12,11,2,3]
[11,9,7,5,3,12,10,1,8,6,4,2]=>[10,4,6,5,8,7,9,3,12,11,1,2]
[11,9,7,5,3,12,1,10,8,6,4,2]=>[12,4,6,5,8,7,10,9,11,1,2,3]
[10,7,11,4,8,12,2,5,9,1,3,6,13]=>[9,12,1,11,2,3,10,4,5,7,8,6,13]
[10,6,11,4,7,2,5,12,13,1,3,8,9]=>[13,7,1,11,2,10,4,3,8,6,5,12,9]
[9,6,10,4,7,2,5,11,1,3,8,12,13]=>[11,7,1,10,2,9,4,3,6,5,8,12,13]
[10,6,3,11,12,2,7,8,13,1,4,5,9]=>[13,12,6,1,4,10,2,7,5,3,11,8,9]
[9,6,3,10,11,2,7,8,1,4,5,12,13]=>[8,11,6,1,4,9,2,7,3,10,5,12,13]
[9,5,3,10,2,6,11,12,1,4,7,8,13]=>[12,10,5,1,9,2,4,7,3,6,11,8,13]
[10,11,6,7,12,3,4,8,13,1,2,5,9]=>[13,1,12,3,2,11,6,4,5,10,7,8,9]
[9,10,6,7,11,3,4,8,1,2,5,12,13]=>[8,1,11,3,2,10,6,4,9,7,5,12,13]
[9,10,5,6,3,4,11,12,1,2,7,8,13]=>[12,1,6,3,10,5,2,7,9,4,11,8,13]
[9,5,10,11,2,6,7,12,1,3,4,8,13]=>[12,11,1,3,9,2,6,4,5,10,7,8,13]
[13,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,13,10,11,5]
[12,13,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,13,9,10,12,4]
[13,11,12,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,12,8,9,13,11,4]
[2,3,4,5,6,7,8,9,10,13,12,1,11]=>[12,2,3,4,5,6,7,8,9,10,1,13,11]
[4,3,1,5,6,7,8,9,10,11,12,13,2]=>[3,4,13,2,5,6,7,8,9,10,11,12,1]
[11,1,9,2,13,3,8,4,10,5,12,6,7]=>[11,9,13,8,10,12,6,3,1,4,2,5,7]
[13,1,12,2,7,3,9,4,10,11,5,6,8]=>[13,12,7,9,11,5,2,6,3,4,10,1,8]
[13,1,11,2,6,3,10,9,4,5,12,7,8]=>[13,11,6,9,4,2,10,5,12,3,1,7,8]
[13,1,12,2,7,3,8,10,4,11,5,6,9]=>[13,12,7,10,11,5,2,3,6,8,4,1,9]
[13,1,12,2,6,3,8,11,10,4,5,7,9]=>[13,12,6,10,4,2,5,3,7,11,8,1,9]
[9,1,5,2,11,13,3,4,10,6,12,7,8]=>[9,5,13,3,1,10,12,7,2,4,11,6,8]
[13,1,5,2,12,8,3,4,10,11,6,7,9]=>[13,5,8,3,1,12,4,11,7,6,10,2,9]
[13,1,11,2,6,7,3,10,4,5,12,8,9]=>[13,11,7,10,4,2,6,12,8,3,1,5,9]
[10,1,5,2,11,7,13,3,4,6,12,8,9]=>[10,5,13,3,1,4,11,12,8,2,7,6,9]
[13,1,12,2,8,7,3,9,4,11,5,6,10]=>[13,12,7,8,9,3,11,2,4,6,5,1,10]
[13,1,12,2,6,8,3,9,11,4,5,7,10]=>[13,12,8,11,4,2,5,6,3,7,9,1,10]
[13,1,5,2,12,9,8,3,4,11,6,7,10]=>[13,5,8,3,1,9,6,12,11,7,4,2,10]
[13,1,12,2,6,7,9,3,11,4,5,8,10]=>[13,12,9,11,4,2,6,5,7,8,3,1,10]
[11,1,5,2,12,7,13,9,3,4,6,8,10]=>[11,5,9,3,1,4,13,7,12,8,2,6,10]
[13,1,4,11,2,3,9,5,10,6,12,7,8]=>[13,11,2,1,9,10,12,7,3,5,4,6,8]
[13,1,4,12,2,3,8,5,10,11,6,7,9]=>[13,12,2,1,8,11,6,3,7,5,10,4,9]
[7,1,4,11,2,3,13,10,5,6,12,8,9]=>[7,11,2,1,10,5,4,13,6,12,3,8,9]
[13,1,4,12,2,3,8,9,5,11,6,7,10]=>[13,12,2,1,9,11,6,3,8,7,5,4,10]
[7,1,4,12,2,3,13,9,11,5,6,8,10]=>[7,12,2,1,11,5,4,6,13,8,9,3,10]
[13,1,6,5,2,11,3,4,10,7,12,8,9]=>[13,5,6,2,11,1,10,12,8,4,3,7,9]
[9,1,6,5,2,13,3,4,12,11,7,8,10]=>[9,5,6,2,13,1,11,7,3,8,12,4,10]
[13,1,4,11,6,2,3,5,10,7,12,8,9]=>[13,6,2,1,3,11,10,12,8,5,4,7,9]
[13,1,4,9,6,2,3,5,12,11,7,8,10]=>[13,6,2,1,3,9,11,7,4,8,12,5,10]
[8,1,11,6,2,7,3,13,4,5,12,9,10]=>[8,6,11,7,2,13,3,1,12,9,4,5,10]
[13,1,11,5,2,7,8,3,4,6,12,9,10]=>[13,5,11,2,8,4,3,7,12,9,1,6,10]
[8,1,4,11,7,2,3,13,5,6,12,9,10]=>[8,7,2,1,11,3,13,4,12,9,5,6,10]
[13,1,11,5,6,2,8,3,4,7,12,9,10]=>[13,6,8,3,11,5,4,2,12,9,1,7,10]
[13,1,4,11,6,8,2,3,5,7,12,9,10]=>[13,8,2,1,3,11,5,6,12,9,4,7,10]
[8,1,10,13,2,7,3,9,4,12,5,6,11]=>[8,13,7,9,12,5,2,1,3,10,6,4,11]
[13,1,12,6,2,8,3,9,10,4,5,7,11]=>[13,6,12,8,2,10,5,3,4,9,7,1,11]
[13,1,10,5,2,9,8,3,4,12,6,7,11]=>[13,5,10,2,8,9,4,12,3,1,7,6,11]
[13,1,12,6,2,7,9,3,10,4,5,8,11]=>[13,6,12,9,2,10,3,5,7,4,8,1,11]
[13,1,12,5,2,7,10,9,3,4,6,8,11]=>[13,5,12,2,9,4,3,6,10,7,8,1,11]
[8,1,4,10,13,2,3,9,5,12,6,7,11]=>[8,13,2,1,9,12,6,4,3,10,7,5,11]
[13,1,4,12,7,2,3,9,10,5,6,8,11]=>[13,7,2,1,12,3,10,6,5,9,8,4,11]
[13,1,10,5,6,2,9,3,4,12,7,8,11]=>[13,6,9,3,10,5,12,7,2,1,8,4,11]
[9,1,4,10,6,13,2,3,5,12,7,8,11]=>[9,13,2,1,3,10,12,7,4,6,8,5,11]
[13,1,12,7,6,2,8,3,10,4,5,9,11]=>[13,6,7,12,3,8,10,4,5,2,9,1,11]
[13,1,12,5,7,2,8,10,3,4,6,9,11]=>[13,7,10,3,12,4,5,2,6,8,9,1,11]
[13,1,4,12,8,7,2,3,10,5,6,9,11]=>[13,7,2,1,8,5,12,10,6,3,9,4,11]
[13,1,12,5,6,8,2,10,3,4,7,9,11]=>[13,8,10,3,12,5,4,6,7,2,9,1,11]
[10,1,4,13,6,12,8,2,3,5,7,9,11]=>[10,8,2,1,3,12,6,13,7,4,9,5,11]
[13,3,1,2,11,4,9,5,10,6,12,7,8]=>[3,1,13,11,9,10,12,7,4,5,2,6,8]
[13,3,1,2,12,4,8,5,10,11,6,7,9]=>[3,1,13,12,8,11,6,4,7,5,10,2,9]
[11,3,1,2,7,4,13,10,5,6,12,8,9]=>[3,1,11,7,10,5,2,13,6,12,4,8,9]
[13,3,1,2,12,4,8,9,5,11,6,7,10]=>[3,1,13,12,9,11,6,4,8,7,5,2,10]
[12,3,1,2,7,4,13,9,11,5,6,8,10]=>[3,1,12,7,11,5,2,6,13,8,9,4,10]
[13,3,1,2,6,11,4,5,10,7,12,8,9]=>[3,1,13,11,4,2,10,12,8,5,6,7,9]
[9,3,1,2,6,13,4,5,12,11,7,8,10]=>[3,1,9,13,4,2,11,7,6,8,12,5,10]
[11,3,1,2,8,7,4,13,5,6,12,9,10]=>[3,1,11,7,8,4,13,2,12,9,5,6,10]
[13,3,1,2,6,11,8,4,5,7,12,9,10]=>[3,1,13,8,4,2,5,11,12,9,6,7,10]
[10,3,1,2,13,8,4,9,5,12,6,7,11]=>[3,1,10,8,13,9,4,12,5,2,7,6,11]
[13,3,1,2,12,7,4,9,10,5,6,8,11]=>[3,1,13,7,12,4,10,6,5,9,8,2,11]
[10,3,1,2,6,13,9,4,5,12,7,8,11]=>[3,1,10,9,4,2,13,5,12,6,8,7,11]
[13,3,1,2,12,7,8,4,10,5,6,9,11]=>[3,1,13,8,10,5,12,7,6,4,9,2,11]
[13,3,1,2,6,12,8,10,4,5,7,9,11]=>[3,1,13,10,4,2,5,12,7,8,9,6,11]
[11,4,1,5,2,3,13,6,10,7,12,8,9]=>[4,11,1,5,2,13,10,12,8,6,3,7,9]
[13,4,1,5,2,3,9,6,12,11,7,8,10]=>[4,13,1,5,2,9,11,7,3,8,12,6,10]
[11,4,1,5,2,3,8,13,6,7,12,9,10]=>[4,11,1,5,2,13,6,3,12,9,8,7,10]
[13,4,1,5,2,3,10,9,6,12,7,8,11]=>[4,13,1,5,2,9,10,6,12,3,8,7,11]
[12,4,1,5,2,3,8,13,10,6,7,9,11]=>[4,12,1,5,2,10,6,3,7,13,9,8,11]
[11,3,5,1,2,4,13,6,10,7,12,8,9]=>[5,1,11,2,3,13,10,12,8,6,4,7,9]
[13,3,5,1,2,4,9,6,12,11,7,8,10]=>[5,1,13,2,3,9,11,7,4,8,12,6,10]
[11,3,5,1,2,4,8,13,6,7,12,9,10]=>[5,1,11,2,3,13,6,4,12,9,8,7,10]
[13,3,5,1,2,4,10,9,6,12,7,8,11]=>[5,1,13,2,3,9,10,6,12,4,8,7,11]
[12,3,5,1,2,4,8,13,10,6,7,9,11]=>[5,1,12,2,3,10,6,4,7,13,9,8,11]
[6,13,1,5,2,7,3,4,11,8,12,9,10]=>[13,5,7,3,1,6,2,11,12,9,4,8,10]
[6,13,1,5,2,7,3,4,10,12,8,9,11]=>[13,5,7,3,1,6,2,12,8,4,9,10,11]
[13,4,1,7,6,2,3,5,11,8,12,9,10]=>[4,13,1,6,3,7,2,11,12,9,5,8,10]
[13,4,1,7,6,2,3,5,10,12,8,9,11]=>[4,13,1,6,3,7,2,12,8,5,9,10,11]
[6,3,13,1,2,7,4,5,11,8,12,9,10]=>[13,1,6,7,4,3,2,11,12,9,5,8,10]
[6,3,13,1,2,7,4,5,10,12,8,9,11]=>[13,1,6,7,4,3,2,12,8,5,9,10,11]
[13,5,4,1,7,2,3,6,11,8,12,9,10]=>[4,5,2,13,7,3,1,11,12,9,6,8,10]
[13,5,4,1,7,2,3,6,10,12,8,9,11]=>[4,5,2,13,7,3,1,12,8,6,9,10,11]
[7,3,13,5,1,2,4,6,11,8,12,9,10]=>[5,1,13,3,7,4,2,11,12,9,6,8,10]
[7,3,13,5,1,2,4,6,10,12,8,9,11]=>[5,1,13,3,7,4,2,12,8,6,9,10,11]
[13,8,1,6,2,7,3,9,4,5,12,10,11]=>[8,6,7,13,1,4,2,9,3,12,10,5,11]
[13,9,1,5,2,7,8,3,4,6,12,10,11]=>[9,5,8,3,1,4,2,7,13,12,10,6,11]
[8,4,1,13,7,2,3,9,5,6,12,10,11]=>[4,8,1,7,13,3,9,2,5,12,10,6,11]
[13,9,1,5,6,2,8,3,4,7,12,10,11]=>[9,6,8,3,1,5,4,2,13,12,10,7,11]
[9,4,1,13,6,8,2,3,5,7,12,10,11]=>[4,9,1,8,3,13,5,6,2,12,10,7,11]
[13,3,8,1,2,7,4,9,5,6,12,10,11]=>[8,1,13,7,9,5,2,3,4,12,10,6,11]
[6,3,13,1,2,9,8,4,5,7,12,10,11]=>[13,1,6,8,4,3,5,9,2,12,10,7,11]
[8,5,4,1,13,2,3,9,6,7,12,10,11]=>[4,5,2,8,13,9,6,1,3,12,10,7,11]
[13,3,8,5,1,2,4,9,6,7,12,10,11]=>[5,1,8,3,13,9,6,2,4,12,10,7,11]
[7,13,5,1,6,2,9,3,4,8,12,10,11]=>[5,13,6,1,9,2,7,4,3,12,10,8,11]
[13,9,4,1,6,7,2,3,5,8,12,10,11]=>[4,9,1,7,3,2,6,5,13,12,10,8,11]
[7,3,13,6,1,2,9,4,5,8,12,10,11]=>[6,1,13,7,2,9,4,5,3,12,10,8,11]
[13,9,4,5,1,7,2,3,6,8,12,10,11]=>[5,7,2,9,4,3,1,6,13,12,10,8,11]
[13,3,9,5,7,1,2,4,6,8,12,10,11]=>[7,1,13,2,9,4,5,6,3,12,10,8,11]
[10,8,1,13,2,7,3,9,4,11,5,6,12]=>[8,10,7,13,9,1,4,11,3,2,5,6,12]
[13,11,1,6,2,8,3,9,10,4,5,7,12]=>[11,6,8,10,4,1,5,2,3,9,13,7,12]
[13,10,1,5,2,9,8,3,4,11,6,7,12]=>[10,5,8,1,3,9,4,13,2,11,6,7,12]
[13,11,1,6,2,7,9,3,10,4,5,8,12]=>[11,6,9,10,4,1,2,5,7,3,13,8,12]
[13,11,1,5,2,7,10,9,3,4,6,8,12]=>[11,5,9,3,1,4,2,6,10,7,13,8,12]
[8,4,1,10,13,2,3,9,5,11,6,7,12]=>[4,8,1,13,9,11,6,2,3,10,5,7,12]
[13,4,1,11,7,2,3,9,10,5,6,8,12]=>[4,13,1,7,11,3,10,6,5,9,2,8,12]
[13,10,1,5,6,2,9,3,4,11,7,8,12]=>[10,6,9,3,1,5,13,2,7,11,4,8,12]
[9,4,1,10,6,13,2,3,5,11,7,8,12]=>[4,9,1,13,3,10,11,7,2,6,5,8,12]
[13,11,1,7,6,2,8,3,10,4,5,9,12]=>[11,6,7,8,2,10,1,3,5,4,13,9,12]
[13,11,1,5,7,2,8,10,3,4,6,9,12]=>[11,7,10,3,1,4,5,2,6,8,13,9,12]
[13,4,1,11,8,7,2,3,10,5,6,9,12]=>[4,13,1,7,8,5,11,10,6,3,2,9,12]
[13,11,1,5,6,8,2,10,3,4,7,9,12]=>[11,8,10,3,1,5,4,6,7,2,13,9,12]
[10,4,1,11,6,13,8,2,3,5,7,9,12]=>[4,10,1,8,3,13,6,11,7,2,5,9,12]
[13,3,10,1,2,8,4,9,5,11,6,7,12]=>[10,1,13,8,9,11,6,2,4,3,5,7,12]
[13,3,11,1,2,7,4,9,10,5,6,8,12]=>[11,1,13,7,10,5,2,6,4,9,3,8,12]
[6,3,10,1,2,13,9,4,5,11,7,8,12]=>[10,1,6,9,4,3,13,5,11,2,7,8,12]
[13,3,11,1,2,7,8,4,10,5,6,9,12]=>[11,1,13,8,10,5,2,7,6,4,3,9,12]
[6,3,11,1,2,13,8,10,4,5,7,9,12]=>[11,1,6,10,4,3,5,13,7,8,2,9,12]
[13,5,4,1,10,2,3,9,6,11,7,8,12]=>[4,5,2,13,10,9,11,7,3,1,6,8,12]
[8,5,4,1,13,2,3,11,10,6,7,9,12]=>[4,5,2,8,13,10,6,1,7,11,3,9,12]
[13,3,10,5,1,2,4,9,6,11,7,8,12]=>[5,1,10,3,13,9,11,7,4,2,6,8,12]
[13,3,8,5,1,2,4,11,10,6,7,9,12]=>[5,1,8,3,13,10,6,2,7,11,4,9,12]
[7,10,5,1,6,2,13,3,4,11,8,9,12]=>[5,10,6,1,13,2,7,11,8,3,4,9,12]
[13,10,4,1,6,7,2,3,5,11,8,9,12]=>[4,10,1,7,3,2,6,13,5,11,8,9,12]
[7,3,10,6,1,2,13,4,5,11,8,9,12]=>[6,1,10,7,2,13,4,11,8,3,5,9,12]
[13,10,4,5,1,7,2,3,6,11,8,9,12]=>[5,7,2,10,4,3,1,13,6,11,8,9,12]
[13,3,10,5,7,1,2,4,6,11,8,9,12]=>[7,1,13,2,10,4,5,11,8,3,6,9,12]
[7,9,13,1,6,2,8,3,11,4,5,10,12]=>[13,6,8,11,4,1,7,2,9,5,3,10,12]
[13,11,5,1,7,2,8,9,3,4,6,10,12]=>[5,11,7,1,9,4,2,3,8,6,13,10,12]
[13,9,4,1,8,7,2,3,11,5,6,10,12]=>[4,9,2,7,8,3,13,1,11,6,5,10,12]
[13,11,5,1,6,8,2,9,3,4,7,10,12]=>[5,11,8,1,9,2,4,6,3,7,13,10,12]
[13,11,4,1,6,9,8,2,3,5,7,10,12]=>[4,11,1,8,3,2,5,9,6,7,13,10,12]
[7,3,9,13,1,2,8,4,11,5,6,10,12]=>[13,1,7,8,11,5,3,2,9,6,4,10,12]
[13,3,11,6,1,2,8,9,4,5,7,10,12]=>[6,1,11,13,2,9,5,3,8,7,4,10,12]
[13,9,4,5,1,8,2,3,11,6,7,10,12]=>[5,8,2,9,4,13,1,6,11,7,3,10,12]
[8,3,9,5,13,1,2,4,11,6,7,10,12]=>[13,1,8,2,9,11,6,3,5,7,4,10,12]
[13,11,6,5,1,7,2,9,3,4,8,10,12]=>[5,6,11,2,7,9,3,4,1,8,13,10,12]
[13,11,4,6,1,7,9,2,3,5,8,10,12]=>[6,9,2,11,3,4,1,5,7,8,13,10,12]
[13,3,11,7,6,1,2,9,4,5,8,10,12]=>[6,1,7,11,3,13,9,5,4,8,2,10,12]
[13,11,4,5,7,1,9,2,3,6,8,10,12]=>[7,9,2,11,4,3,5,6,1,8,13,10,12]
[9,3,13,5,11,7,1,2,4,6,8,10,12]=>[7,1,11,3,9,4,13,6,5,8,2,10,12]
[13,11,12,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,12,9,13,11,4]
[13,11,12,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,12,9,13,11,5]
[13,12,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,12,9,10,13,4]
[13,12,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,12,9,10,13,5]
[13,12,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,12,10,13,5]
[12,13,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,13,9,10,12,5]
[12,13,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,13,10,12,5]
[14,3,2,5,4,7,6,9,8,11,10,13,12,1]=>[12,3,13,5,1,7,4,9,6,11,8,14,10,2]
[14,3,2,5,4,7,6,9,8,13,12,11,10,1]=>[10,3,11,5,1,7,4,9,6,12,13,14,8,2]
[14,3,2,5,4,7,6,11,10,9,8,13,12,1]=>[12,3,13,5,1,7,4,9,10,11,6,14,8,2]
[14,3,2,5,4,7,6,13,10,9,12,11,8,1]=>[8,3,11,5,2,7,4,12,10,14,13,6,9,1]
[14,3,2,5,4,7,6,13,12,11,10,9,8,1]=>[8,3,9,5,1,7,4,10,11,12,13,14,6,2]
[14,3,2,5,4,9,8,7,6,11,10,13,12,1]=>[12,3,13,5,1,7,8,9,4,11,6,14,10,2]
[14,3,2,5,4,9,8,7,6,13,12,11,10,1]=>[10,3,11,5,1,7,8,9,4,12,13,14,6,2]
[14,3,2,5,4,11,8,7,10,9,6,13,12,1]=>[12,3,13,5,1,9,8,10,11,6,4,14,7,2]
[14,3,2,5,4,13,8,7,10,9,12,11,6,1]=>[6,3,11,5,2,12,8,14,10,4,13,9,7,1]
[14,3,2,5,4,13,8,7,12,11,10,9,6,1]=>[6,3,9,5,1,10,8,11,12,14,13,7,4,2]
[14,3,2,5,4,11,10,9,8,7,6,13,12,1]=>[12,3,13,5,1,7,8,9,10,11,4,14,6,2]
[14,3,2,5,4,13,10,9,8,7,12,11,6,1]=>[6,3,11,5,2,12,8,9,10,14,13,4,7,1]
[14,3,2,5,4,13,12,9,8,11,10,7,6,1]=>[6,3,7,5,1,10,11,9,14,12,4,13,8,2]
[14,3,2,5,4,13,12,11,10,9,8,7,6,1]=>[6,3,7,5,1,8,9,10,11,12,13,14,4,2]
[14,3,2,7,6,5,4,9,8,11,10,13,12,1]=>[12,3,13,5,6,7,1,9,4,11,8,14,10,2]
[14,3,2,7,6,5,4,9,8,13,12,11,10,1]=>[10,3,11,5,6,7,1,9,4,12,13,14,8,2]
[14,3,2,7,6,5,4,11,10,9,8,13,12,1]=>[12,3,13,5,6,7,1,9,10,11,4,14,8,2]
[14,3,2,7,6,5,4,13,10,9,12,11,8,1]=>[8,3,11,5,6,7,2,12,10,14,13,4,9,1]
[14,3,2,7,6,5,4,13,12,11,10,9,8,1]=>[8,3,9,5,6,7,1,10,11,12,13,14,4,2]
[14,3,2,9,6,5,8,7,4,11,10,13,12,1]=>[12,3,13,7,6,8,9,4,1,11,5,14,10,2]
[14,3,2,9,6,5,8,7,4,13,12,11,10,1]=>[10,3,11,7,6,8,9,4,1,12,13,14,5,2]
[14,3,2,11,6,5,8,7,10,9,4,13,12,1]=>[12,3,13,9,6,10,8,4,11,7,1,14,5,2]
[14,3,2,13,6,5,8,7,10,9,12,11,4,1]=>[4,3,11,12,6,14,8,2,10,7,13,9,5,1]
[14,3,2,13,6,5,8,7,12,11,10,9,4,1]=>[4,3,9,10,6,11,8,5,12,14,13,7,1,2]
[14,3,2,11,6,5,10,9,8,7,4,13,12,1]=>[12,3,13,7,6,8,9,10,11,4,1,14,5,2]
[14,3,2,13,6,5,10,9,8,7,12,11,4,1]=>[4,3,11,12,6,14,8,9,10,2,13,7,5,1]
[14,3,2,13,6,5,12,9,8,11,10,7,4,1]=>[4,3,7,10,6,11,14,9,13,12,1,8,2,5]
[14,3,2,13,6,5,12,11,10,9,8,7,4,1]=>[4,3,7,8,6,9,10,11,12,14,13,1,2,5]
[14,3,2,9,8,7,6,5,4,11,10,13,12,1]=>[12,3,13,5,6,7,8,9,1,11,4,14,10,2]
[14,3,2,9,8,7,6,5,4,13,12,11,10,1]=>[10,3,11,5,6,7,8,9,1,12,13,14,4,2]
[14,3,2,11,8,7,6,5,10,9,4,13,12,1]=>[12,3,13,9,6,7,8,10,11,4,1,14,5,2]
[14,3,2,13,8,7,6,5,10,9,12,11,4,1]=>[4,3,11,12,6,7,8,14,10,2,13,9,5,1]
[14,3,2,13,8,7,6,5,12,11,10,9,4,1]=>[4,3,9,10,6,7,8,11,12,14,13,5,1,2]
[14,3,2,11,10,7,6,9,8,5,4,13,12,1]=>[12,3,13,5,8,7,9,10,4,11,1,14,6,2]
[14,3,2,13,10,7,6,9,8,5,12,11,4,1]=>[4,3,11,12,8,7,9,10,2,14,13,6,5,1]
[14,3,2,13,12,7,6,9,8,11,10,5,4,1]=>[4,3,5,10,11,7,14,9,1,12,8,13,6,2]
[14,3,2,13,12,7,6,11,10,9,8,5,4,1]=>[4,3,5,8,9,7,10,11,14,12,6,13,2,1]
[14,3,2,11,10,9,8,7,6,5,4,13,12,1]=>[12,3,13,5,6,7,8,9,10,11,1,14,4,2]
[14,3,2,13,10,9,8,7,6,5,12,11,4,1]=>[4,3,11,12,6,7,8,9,10,14,13,2,5,1]
[14,3,2,13,12,9,8,7,6,11,10,5,4,1]=>[4,3,5,10,11,7,8,9,14,12,1,13,6,2]
[14,3,2,13,12,11,8,7,10,9,6,5,4,1]=>[4,3,5,6,9,10,8,14,11,2,12,13,7,1]
[14,3,2,13,12,11,10,9,8,7,6,5,4,1]=>[4,3,5,6,7,8,9,10,11,12,13,14,1,2]
[14,5,4,3,2,7,6,9,8,11,10,13,12,1]=>[12,3,4,5,13,7,1,9,6,11,8,14,10,2]
[14,5,4,3,2,7,6,9,8,13,12,11,10,1]=>[10,3,4,5,11,7,1,9,6,12,13,14,8,2]
[14,5,4,3,2,7,6,11,10,9,8,13,12,1]=>[12,3,4,5,13,7,1,9,10,11,6,14,8,2]
[14,5,4,3,2,7,6,13,10,9,12,11,8,1]=>[8,3,4,5,11,7,2,12,10,14,13,6,9,1]
[14,5,4,3,2,7,6,13,12,11,10,9,8,1]=>[8,3,4,5,9,7,1,10,11,12,13,14,6,2]
[14,5,4,3,2,9,8,7,6,11,10,13,12,1]=>[12,3,4,5,13,7,8,9,1,11,6,14,10,2]
[14,5,4,3,2,9,8,7,6,13,12,11,10,1]=>[10,3,4,5,11,7,8,9,1,12,13,14,6,2]
[14,5,4,3,2,11,8,7,10,9,6,13,12,1]=>[12,3,4,5,13,9,8,10,11,6,1,14,7,2]
[14,5,4,3,2,13,8,7,10,9,12,11,6,1]=>[6,3,4,5,11,12,8,14,10,2,13,9,7,1]
[14,5,4,3,2,13,8,7,12,11,10,9,6,1]=>[6,3,4,5,9,10,8,11,12,14,13,7,1,2]
[14,5,4,3,2,11,10,9,8,7,6,13,12,1]=>[12,3,4,5,13,7,8,9,10,11,1,14,6,2]
[14,5,4,3,2,13,10,9,8,7,12,11,6,1]=>[6,3,4,5,11,12,8,9,10,14,13,2,7,1]
[14,5,4,3,2,13,12,9,8,11,10,7,6,1]=>[6,3,4,5,7,10,11,9,14,12,1,13,8,2]
[14,5,4,3,2,13,12,11,10,9,8,7,6,1]=>[6,3,4,5,7,8,9,10,11,12,13,14,1,2]
[14,7,4,3,6,5,2,9,8,11,10,13,12,1]=>[12,5,4,6,7,1,13,9,3,11,8,14,10,2]
[14,7,4,3,6,5,2,9,8,13,12,11,10,1]=>[10,5,4,6,7,1,11,9,3,12,13,14,8,2]
[14,7,4,3,6,5,2,11,10,9,8,13,12,1]=>[12,5,4,6,7,1,13,9,10,11,3,14,8,2]
[14,7,4,3,6,5,2,13,10,9,12,11,8,1]=>[8,5,4,6,7,2,11,12,10,14,13,3,9,1]
[14,7,4,3,6,5,2,13,12,11,10,9,8,1]=>[8,5,4,6,7,1,9,10,11,12,13,14,3,2]
[14,9,4,3,6,5,8,7,2,11,10,13,12,1]=>[12,7,4,8,6,1,9,5,13,11,3,14,10,2]
[14,9,4,3,6,5,8,7,2,13,12,11,10,1]=>[10,7,4,8,6,1,9,5,11,12,13,14,3,2]
[14,11,4,3,6,5,8,7,10,9,2,13,12,1]=>[12,9,4,10,6,1,8,5,11,7,13,14,3,2]
[14,13,4,3,6,5,8,7,10,9,12,11,2,1]=>[2,11,4,12,6,1,8,5,10,7,13,9,14,3]
[14,13,4,3,6,5,8,7,12,11,10,9,2,1]=>[2,9,4,10,6,1,8,5,11,12,13,7,14,3]
[14,11,4,3,6,5,10,9,8,7,2,13,12,1]=>[12,7,4,8,6,1,9,10,11,5,13,14,3,2]
[14,13,4,3,6,5,10,9,8,7,12,11,2,1]=>[2,11,4,12,6,1,8,9,10,5,13,7,14,3]
[14,13,4,3,6,5,12,9,8,11,10,7,2,1]=>[2,7,4,10,6,3,11,9,13,12,5,8,14,1]
[14,13,4,3,6,5,12,11,10,9,8,7,2,1]=>[2,7,4,8,6,1,9,10,11,12,13,5,14,3]
[14,9,4,3,8,7,6,5,2,11,10,13,12,1]=>[12,5,4,6,7,8,9,1,13,11,3,14,10,2]
[14,9,4,3,8,7,6,5,2,13,12,11,10,1]=>[10,5,4,6,7,8,9,1,11,12,13,14,3,2]
[14,11,4,3,8,7,6,5,10,9,2,13,12,1]=>[12,9,4,10,6,7,8,1,11,5,13,14,3,2]
[14,13,4,3,8,7,6,5,10,9,12,11,2,1]=>[2,11,4,12,6,7,8,1,10,5,13,9,14,3]
[14,13,4,3,8,7,6,5,12,11,10,9,2,1]=>[2,9,4,10,6,7,8,1,11,12,13,5,14,3]
[14,11,4,3,10,7,6,9,8,5,2,13,12,1]=>[12,5,4,8,9,7,11,10,3,1,13,14,2,6]
[14,13,4,3,10,7,6,9,8,5,12,11,2,1]=>[2,11,4,12,8,7,9,10,5,1,13,6,14,3]
[14,13,4,3,12,7,6,9,8,11,10,5,2,1]=>[2,5,4,10,11,7,13,9,3,12,8,6,14,1]
[14,13,4,3,12,7,6,11,10,9,8,5,2,1]=>[2,5,4,8,9,7,10,11,13,12,6,1,14,3]
[14,11,4,3,10,9,8,7,6,5,2,13,12,1]=>[12,5,4,6,7,8,9,10,11,1,13,14,3,2]
[14,13,4,3,10,9,8,7,6,5,12,11,2,1]=>[2,11,4,12,6,7,8,9,10,1,13,5,14,3]
[14,13,4,3,12,9,8,7,6,11,10,5,2,1]=>[2,5,4,10,11,7,8,9,13,12,3,6,14,1]
[14,13,4,3,12,11,8,7,10,9,6,5,2,1]=>[2,5,4,6,9,10,8,13,11,1,12,7,14,3]
[14,13,4,3,12,11,10,9,8,7,6,5,2,1]=>[2,5,4,6,7,8,9,10,11,12,13,1,14,3]
[14,7,6,5,4,3,2,9,8,11,10,13,12,1]=>[12,3,4,5,6,7,13,9,1,11,8,14,10,2]
[14,7,6,5,4,3,2,9,8,13,12,11,10,1]=>[10,3,4,5,6,7,11,9,1,12,13,14,8,2]
[14,7,6,5,4,3,2,11,10,9,8,13,12,1]=>[12,3,4,5,6,7,13,9,10,11,1,14,8,2]
[14,7,6,5,4,3,2,13,10,9,12,11,8,1]=>[8,3,4,5,6,7,11,12,10,14,13,2,9,1]
[14,7,6,5,4,3,2,13,12,11,10,9,8,1]=>[8,3,4,5,6,7,9,10,11,12,13,14,1,2]
[14,9,6,5,4,3,8,7,2,11,10,13,12,1]=>[12,7,4,5,6,8,9,1,13,11,3,14,10,2]
[14,9,6,5,4,3,8,7,2,13,12,11,10,1]=>[10,7,4,5,6,8,9,1,11,12,13,14,3,2]
[14,11,6,5,4,3,8,7,10,9,2,13,12,1]=>[12,9,4,5,6,10,8,1,11,7,13,14,3,2]
[14,13,6,5,4,3,8,7,10,9,12,11,2,1]=>[2,11,4,5,6,12,8,1,10,7,13,9,14,3]
[14,13,6,5,4,3,8,7,12,11,10,9,2,1]=>[2,9,4,5,6,10,8,1,11,12,13,7,14,3]
[14,11,6,5,4,3,10,9,8,7,2,13,12,1]=>[12,7,4,5,6,8,9,10,11,1,13,14,3,2]
[14,13,6,5,4,3,10,9,8,7,12,11,2,1]=>[2,11,4,5,6,12,8,9,10,1,13,7,14,3]
[14,13,6,5,4,3,12,9,8,11,10,7,2,1]=>[2,7,4,5,6,10,11,9,13,12,3,8,14,1]
[14,13,6,5,4,3,12,11,10,9,8,7,2,1]=>[2,7,4,5,6,8,9,10,11,12,13,1,14,3]
[14,9,8,5,4,7,6,3,2,11,10,13,12,1]=>[12,3,6,5,7,8,1,9,13,11,4,14,10,2]
[14,9,8,5,4,7,6,3,2,13,12,11,10,1]=>[10,3,6,5,7,8,1,9,11,12,13,14,4,2]
[14,11,8,5,4,7,6,3,10,9,2,13,12,1]=>[12,9,6,5,7,8,1,10,11,4,13,14,3,2]
[14,13,8,5,4,7,6,3,10,9,12,11,2,1]=>[2,11,6,5,7,8,1,12,10,4,13,9,14,3]
[14,13,8,5,4,7,6,3,12,11,10,9,2,1]=>[2,9,6,5,7,8,1,10,11,12,13,4,14,3]
[14,11,10,5,4,7,6,9,8,3,2,13,12,1]=>[12,3,8,5,9,7,1,10,6,11,13,14,4,2]
[14,13,10,5,4,7,6,9,8,3,12,11,2,1]=>[2,11,8,5,9,7,1,10,6,12,13,4,14,3]
[14,13,12,5,4,7,6,9,8,11,10,3,2,1]=>[2,3,10,5,11,7,1,9,6,12,8,13,14,4]
[14,13,12,5,4,7,6,11,10,9,8,3,2,1]=>[2,3,8,5,9,7,1,10,11,12,6,13,14,4]
[14,11,10,5,4,9,8,7,6,3,2,13,12,1]=>[12,3,6,5,7,8,9,10,1,11,13,14,4,2]
[14,13,10,5,4,9,8,7,6,3,12,11,2,1]=>[2,11,6,5,7,8,9,10,1,12,13,4,14,3]
[14,13,12,5,4,9,8,7,6,11,10,3,2,1]=>[2,3,10,5,11,7,8,9,1,12,6,13,14,4]
[14,13,12,5,4,11,8,7,10,9,6,3,2,1]=>[2,3,6,5,9,10,8,12,11,4,7,13,14,1]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1]=>[2,3,6,5,7,8,9,10,11,12,1,13,14,4]
[14,9,8,7,6,5,4,3,2,11,10,13,12,1]=>[12,3,4,5,6,7,8,9,13,11,1,14,10,2]
[14,9,8,7,6,5,4,3,2,13,12,11,10,1]=>[10,3,4,5,6,7,8,9,11,12,13,14,1,2]
[14,11,8,7,6,5,4,3,10,9,2,13,12,1]=>[12,9,4,5,6,7,8,10,11,1,13,14,3,2]
[14,13,8,7,6,5,4,3,10,9,12,11,2,1]=>[2,11,4,5,6,7,8,12,10,1,13,9,14,3]
[14,13,8,7,6,5,4,3,12,11,10,9,2,1]=>[2,9,4,5,6,7,8,10,11,12,13,1,14,3]
[14,11,10,7,6,5,4,9,8,3,2,13,12,1]=>[12,3,8,5,6,7,9,10,1,11,13,14,4,2]
[14,13,10,7,6,5,4,9,8,3,12,11,2,1]=>[2,11,8,5,6,7,9,10,1,12,13,4,14,3]
[14,13,12,7,6,5,4,9,8,11,10,3,2,1]=>[2,3,10,5,6,7,11,9,1,12,8,13,14,4]
[14,13,12,7,6,5,4,11,10,9,8,3,2,1]=>[2,3,8,5,6,7,9,10,11,12,1,13,14,4]
[14,11,10,9,6,5,8,7,4,3,2,13,12,1]=>[12,3,4,7,6,8,9,1,10,11,13,14,5,2]
[14,13,10,9,6,5,8,7,4,3,12,11,2,1]=>[2,11,4,7,6,8,9,1,10,12,13,5,14,3]
[14,13,12,9,6,5,8,7,4,11,10,3,2,1]=>[2,3,10,7,6,8,9,1,11,12,5,13,14,4]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1]=>[2,3,4,9,6,10,8,1,11,7,12,13,14,5]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1]=>[2,3,4,7,6,8,9,10,11,1,12,13,14,5]
[14,11,10,9,8,7,6,5,4,3,2,13,12,1]=>[12,3,4,5,6,7,8,9,10,11,13,14,1,2]
[14,13,10,9,8,7,6,5,4,3,12,11,2,1]=>[2,11,4,5,6,7,8,9,10,12,13,1,14,3]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1]=>[2,3,10,5,6,7,8,9,11,12,1,13,14,4]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1]=>[2,3,4,9,6,7,8,10,11,1,12,13,14,5]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1]=>[2,3,4,5,8,7,9,10,1,11,12,13,14,6]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,12,13,14,1]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10]=>[14,13,1,12,2,3,11,4,5,6,7,8,9,10]
[10,7,11,4,8,12,2,5,9,1,3,6,13,14]=>[9,12,1,11,2,3,10,4,5,7,8,6,13,14]
[10,6,11,4,7,2,5,12,13,1,3,8,9,14]=>[13,7,1,11,2,10,4,3,8,6,5,12,9,14]
[10,6,3,11,12,2,7,8,13,1,4,5,9,14]=>[13,12,6,1,4,10,2,7,5,3,11,8,9,14]
[10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[13,1,12,3,2,11,6,4,5,10,7,8,9,14]
[12,11,10,9,8,7,6,5,4,3,2,1,14,13]=>[2,3,4,5,6,7,8,9,10,11,12,1,14,13]
[2,1,14,13,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,13,14,3]
[12,11,10,9,6,5,8,7,4,3,2,1,14,13]=>[2,3,4,7,6,8,9,1,10,11,12,5,14,13]
[2,1,14,13,12,11,8,7,10,9,6,5,4,3]=>[2,1,4,5,6,9,8,10,11,3,12,13,14,7]
[12,11,10,7,6,5,4,9,8,3,2,1,14,13]=>[2,3,8,5,6,7,9,10,1,11,12,4,14,13]
[12,11,10,5,4,9,8,7,6,3,2,1,14,13]=>[2,3,6,5,7,8,9,10,1,11,12,4,14,13]
[2,1,14,13,12,9,8,7,6,11,10,5,4,3]=>[2,1,4,5,10,7,8,9,11,12,3,13,14,6]
[2,1,14,13,12,7,6,11,10,9,8,5,4,3]=>[2,1,4,5,8,7,9,10,11,12,3,13,14,6]
[12,11,8,7,6,5,4,3,10,9,2,1,14,13]=>[2,9,4,5,6,7,8,10,11,1,12,3,14,13]
[12,11,10,5,4,7,6,9,8,3,2,1,14,13]=>[2,3,8,5,9,7,1,10,6,11,12,4,14,13]
[12,11,4,3,10,9,8,7,6,5,2,1,14,13]=>[2,5,4,6,7,8,9,10,11,1,12,3,14,13]
[2,1,14,13,10,9,8,7,6,5,12,11,4,3]=>[2,1,4,11,6,7,8,9,10,12,13,3,14,5]
[2,1,14,13,12,7,6,9,8,11,10,5,4,3]=>[2,1,4,5,10,7,11,9,3,12,8,13,14,6]
[2,1,14,13,6,5,12,11,10,9,8,7,4,3]=>[2,1,4,7,6,8,9,10,11,12,13,3,14,5]
[12,9,8,7,6,5,4,3,2,11,10,1,14,13]=>[10,3,4,5,6,7,8,9,11,12,1,2,14,13]
[12,11,8,5,4,7,6,3,10,9,2,1,14,13]=>[2,9,6,5,7,8,1,10,11,4,12,3,14,13]
[12,11,6,5,4,3,10,9,8,7,2,1,14,13]=>[2,7,4,5,6,8,9,10,11,1,12,3,14,13]
[12,11,4,3,10,7,6,9,8,5,2,1,14,13]=>[2,5,4,8,9,7,11,10,3,6,12,1,14,13]
[12,3,2,11,10,9,8,7,6,5,4,1,14,13]=>[4,3,5,6,7,8,9,10,11,12,1,2,14,13]
[10,9,8,7,6,5,4,3,2,1,14,13,12,11]=>[2,3,4,5,6,7,8,9,10,1,12,13,14,11]
[2,1,14,11,10,9,8,7,6,5,4,13,12,3]=>[2,1,12,5,6,7,8,9,10,11,13,14,3,4]
[2,1,14,13,10,7,6,9,8,5,12,11,4,3]=>[2,1,4,11,8,7,9,10,3,12,13,6,14,5]
[2,1,14,13,8,7,6,5,12,11,10,9,4,3]=>[2,1,4,9,6,7,8,10,11,12,13,3,14,5]
[2,1,14,13,6,5,12,9,8,11,10,7,4,3]=>[2,1,4,7,6,10,11,9,13,12,5,8,14,3]
[4,3,2,1,14,13,12,11,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,11,12,13,14,5]
[2,1,14,5,4,13,12,11,10,9,8,7,6,3]=>[2,1,6,5,7,8,9,10,11,12,13,14,3,4]
[13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,14,10,11,13,5]
[14,12,13,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,13,9,10,14,12,4]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1]=>[12,5,3,7,2,9,4,11,6,14,8,13,1,10]
[3,5,2,7,4,9,6,12,8,13,14,11,10,1]=>[10,5,3,7,2,9,4,11,6,14,12,8,13,1]
[3,5,2,7,4,10,6,11,13,9,8,14,12,1]=>[12,5,3,7,2,10,4,9,14,6,11,13,1,8]
[3,5,2,7,4,10,6,12,13,9,14,11,8,1]=>[8,5,3,7,2,11,4,10,14,1,13,12,6,9]
[3,5,2,7,4,11,6,12,13,14,10,9,8,1]=>[8,5,3,7,2,9,4,10,14,11,1,12,13,6]
[3,5,2,8,4,9,11,7,6,13,10,14,12,1]=>[12,5,3,8,2,7,11,4,9,14,6,13,1,10]
[3,5,2,8,4,9,12,7,6,13,14,11,10,1]=>[10,5,3,8,2,7,11,4,9,14,12,6,13,1]
[3,5,2,8,4,10,11,7,13,9,6,14,12,1]=>[12,5,3,8,2,9,14,4,11,10,6,13,1,7]
[3,5,2,8,4,10,12,7,13,9,14,11,6,1]=>[6,5,3,11,2,8,14,1,12,10,13,9,4,7]
[3,5,2,8,4,11,12,7,13,14,10,9,6,1]=>[6,5,3,9,2,8,10,1,14,12,11,7,13,4]
[3,5,2,9,4,10,11,13,8,7,6,14,12,1]=>[12,5,3,9,2,7,8,14,4,10,11,13,1,6]
[3,5,2,9,4,10,12,13,8,7,14,11,6,1]=>[6,5,3,11,2,9,8,14,1,10,13,12,4,7]
[3,5,2,9,4,11,12,13,8,14,10,7,6,1]=>[6,5,3,7,2,10,9,14,4,13,11,12,1,8]
[3,5,2,10,4,11,12,13,14,9,8,7,6,1]=>[6,5,3,7,2,8,9,14,10,4,11,12,13,1]
[3,6,2,7,9,5,4,11,8,13,10,14,12,1]=>[12,6,3,5,9,2,7,11,4,14,8,13,1,10]
[3,6,2,7,9,5,4,12,8,13,14,11,10,1]=>[10,6,3,5,9,2,7,11,4,14,12,8,13,1]
[3,6,2,7,10,5,4,11,13,9,8,14,12,1]=>[12,6,3,5,10,2,7,9,14,4,11,13,1,8]
[3,6,2,7,10,5,4,12,13,9,14,11,8,1]=>[8,6,3,5,11,2,7,10,14,1,13,12,4,9]
[3,6,2,7,11,5,4,12,13,14,10,9,8,1]=>[8,6,3,5,9,2,7,10,14,11,1,12,13,4]
[3,6,2,8,9,5,11,7,4,13,10,14,12,1]=>[12,6,3,7,11,2,9,8,4,14,5,13,1,10]
[3,6,2,8,9,5,12,7,4,13,14,11,10,1]=>[10,6,3,7,11,2,9,8,4,14,12,5,13,1]
[3,6,2,8,10,5,11,7,13,9,4,14,12,1]=>[12,6,3,9,14,2,10,8,11,7,4,13,1,5]
[3,6,2,8,10,5,12,7,13,9,14,11,4,1]=>[4,11,3,6,10,1,14,8,12,5,13,9,2,7]
[3,6,2,8,11,5,12,7,13,14,10,9,4,1]=>[4,9,3,6,10,1,14,8,11,12,2,5,13,7]
[3,6,2,9,10,5,11,13,8,7,4,14,12,1]=>[12,6,3,7,8,2,14,10,9,5,11,13,1,4]
[3,6,2,9,10,5,12,13,8,7,14,11,4,1]=>[4,11,3,6,10,1,8,14,9,5,13,12,2,7]
[3,6,2,9,11,5,12,13,8,14,10,7,4,1]=>[4,7,3,6,10,1,14,11,9,13,8,12,5,2]
[3,6,2,10,11,5,12,13,14,9,8,7,4,1]=>[4,7,3,6,8,1,9,14,11,10,2,12,13,5]
[3,7,2,8,9,11,6,5,4,13,10,14,12,1]=>[12,7,3,5,6,11,2,8,9,14,4,13,1,10]
[3,7,2,8,9,12,6,5,4,13,14,11,10,1]=>[10,7,3,5,6,11,2,8,9,14,12,4,13,1]
[3,7,2,8,10,11,6,5,13,9,4,14,12,1]=>[12,7,3,9,6,14,2,8,11,10,4,13,1,5]
[3,7,2,8,10,12,6,5,13,9,14,11,4,1]=>[4,11,3,7,6,14,1,8,12,10,13,9,2,5]
[3,7,2,8,11,12,6,5,13,14,10,9,4,1]=>[4,9,3,7,6,10,1,8,14,12,11,5,13,2]
[3,7,2,9,10,11,6,13,8,5,4,14,12,1]=>[12,7,3,5,8,14,2,11,9,10,4,13,1,6]
[3,7,2,9,10,12,6,13,8,5,14,11,4,1]=>[4,11,3,7,8,14,1,13,9,10,12,2,5,6]
[3,7,2,9,11,12,6,13,8,14,10,5,4,1]=>[4,5,3,10,7,14,2,12,9,13,11,8,1,6]
[3,7,2,10,11,12,6,13,14,9,8,5,4,1]=>[4,5,3,8,7,9,2,14,12,10,11,6,13,1]
[3,8,2,9,10,11,13,7,6,5,4,14,12,1]=>[12,8,3,5,6,7,14,2,9,10,11,13,1,4]
[3,8,2,9,10,12,13,7,6,5,14,11,4,1]=>[4,11,3,8,6,7,14,1,9,10,13,12,2,5]
[3,8,2,9,11,12,13,7,6,14,10,5,4,1]=>[4,5,3,10,8,7,14,2,9,13,11,12,1,6]
[3,8,2,10,11,12,13,7,14,9,6,5,4,1]=>[4,5,3,6,9,8,14,1,13,10,11,12,2,7]
[3,9,2,10,11,12,13,14,8,7,6,5,4,1]=>[4,5,3,6,7,8,14,9,1,10,11,12,13,2]
[4,5,7,3,2,9,6,11,8,13,10,14,12,1]=>[12,3,7,4,5,9,2,11,6,14,8,13,1,10]
[4,5,7,3,2,9,6,12,8,13,14,11,10,1]=>[10,3,7,4,5,9,2,11,6,14,12,8,13,1]
[4,5,7,3,2,10,6,11,13,9,8,14,12,1]=>[12,3,7,4,5,10,2,9,14,6,11,13,1,8]
[4,5,7,3,2,10,6,12,13,9,14,11,8,1]=>[8,3,7,4,5,11,2,10,14,1,13,12,6,9]
[4,5,7,3,2,11,6,12,13,14,10,9,8,1]=>[8,3,7,4,5,9,2,10,14,11,1,12,13,6]
[4,5,8,3,2,9,11,7,6,13,10,14,12,1]=>[12,3,8,4,5,7,11,2,9,14,6,13,1,10]
[4,5,8,3,2,9,12,7,6,13,14,11,10,1]=>[10,3,8,4,5,7,11,2,9,14,12,6,13,1]
[4,5,8,3,2,10,11,7,13,9,6,14,12,1]=>[12,3,8,4,5,9,14,2,11,10,6,13,1,7]
[4,5,8,3,2,10,12,7,13,9,14,11,6,1]=>[6,3,11,4,5,8,14,1,12,10,13,9,2,7]
[4,5,8,3,2,11,12,7,13,14,10,9,6,1]=>[6,3,9,4,5,8,10,1,14,12,11,7,13,2]
[4,5,9,3,2,10,11,13,8,7,6,14,12,1]=>[12,3,9,4,5,7,8,14,2,10,11,13,1,6]
[4,5,9,3,2,10,12,13,8,7,14,11,6,1]=>[6,3,11,4,5,9,8,14,1,10,13,12,2,7]
[4,5,9,3,2,11,12,13,8,14,10,7,6,1]=>[6,3,7,4,5,10,9,14,2,13,11,12,1,8]
[4,5,10,3,2,11,12,13,14,9,8,7,6,1]=>[6,3,7,4,5,8,9,14,10,2,11,12,13,1]
[4,6,7,3,9,5,2,11,8,13,10,14,12,1]=>[12,5,9,4,7,6,2,11,3,14,8,13,1,10]
[4,6,7,3,9,5,2,12,8,13,14,11,10,1]=>[10,5,9,4,7,6,2,11,3,14,12,8,13,1]
[4,6,7,3,10,5,2,11,13,9,8,14,12,1]=>[12,5,10,4,7,6,2,9,14,3,11,13,1,8]
[4,6,7,3,10,5,2,12,13,9,14,11,8,1]=>[8,5,11,4,7,6,2,10,14,1,13,12,3,9]
[4,6,7,3,11,5,2,12,13,14,10,9,8,1]=>[8,5,9,4,7,6,2,10,14,11,1,12,13,3]
[4,6,8,3,9,5,11,7,2,13,10,14,12,1]=>[12,7,11,4,8,6,9,5,2,14,3,13,1,10]
[4,6,8,3,9,5,12,7,2,13,14,11,10,1]=>[10,7,11,4,8,6,9,5,2,14,12,3,13,1]
[4,6,8,3,10,5,11,7,13,9,2,14,12,1]=>[12,9,8,4,14,6,10,3,11,7,2,13,1,5]
[4,6,8,3,10,5,12,7,13,9,14,11,2,1]=>[2,11,8,4,10,6,14,3,12,5,13,9,1,7]
[4,6,8,3,11,5,12,7,13,14,10,9,2,1]=>[2,9,8,4,10,6,14,3,11,12,1,5,13,7]
[4,6,9,3,10,5,11,13,8,7,2,14,12,1]=>[12,7,8,4,14,6,9,10,2,3,11,13,1,5]
[4,6,9,3,10,5,12,13,8,7,14,11,2,1]=>[2,11,9,4,10,6,8,14,3,5,13,12,1,7]
[4,6,9,3,11,5,12,13,8,14,10,7,2,1]=>[2,7,10,4,9,6,14,11,5,13,8,12,3,1]
[4,6,10,3,11,5,12,13,14,9,8,7,2,1]=>[2,7,8,4,9,6,14,10,11,3,5,12,13,1]
[4,7,8,3,9,11,6,5,2,13,10,14,12,1]=>[12,5,6,4,11,8,7,3,9,14,2,13,1,10]
[4,7,8,3,9,12,6,5,2,13,14,11,10,1]=>[10,5,6,4,11,8,7,3,9,14,12,2,13,1]
[4,7,8,3,10,11,6,5,13,9,2,14,12,1]=>[12,9,8,4,6,14,7,3,11,10,2,13,1,5]
[4,7,8,3,10,12,6,5,13,9,14,11,2,1]=>[2,11,8,4,6,14,7,3,12,10,13,9,1,5]
[4,7,8,3,11,12,6,5,13,14,10,9,2,1]=>[2,9,8,4,6,10,7,3,14,12,11,5,13,1]
[4,7,9,3,10,11,6,13,8,5,2,14,12,1]=>[12,5,8,4,14,9,7,11,6,10,3,13,1,2]
[4,7,9,3,10,12,6,13,8,5,14,11,2,1]=>[2,11,9,4,8,14,7,13,3,10,12,1,5,6]
[4,7,9,3,11,12,6,13,8,14,10,5,2,1]=>[2,5,10,4,9,14,7,12,1,13,11,8,3,6]
[4,7,10,3,11,12,6,13,14,9,8,5,2,1]=>[2,5,8,4,9,14,7,10,12,3,11,1,13,6]
[4,8,9,3,10,11,13,7,6,5,2,14,12,1]=>[12,5,6,4,7,14,9,8,2,10,11,13,1,3]
[4,8,9,3,10,12,13,7,6,5,14,11,2,1]=>[2,11,9,4,6,7,14,8,3,10,13,12,1,5]
[4,8,9,3,11,12,13,7,6,14,10,5,2,1]=>[2,5,10,4,9,7,14,8,1,13,11,12,3,6]
[4,8,10,3,11,12,13,7,14,9,6,5,2,1]=>[2,5,6,4,9,14,10,8,13,7,11,12,1,3]
[4,9,10,3,11,12,13,14,8,7,6,5,2,1]=>[2,5,6,4,7,8,14,10,9,3,11,12,13,1]
[5,6,7,9,4,3,2,11,8,13,10,14,12,1]=>[12,3,4,9,5,6,7,11,2,14,8,13,1,10]
[5,6,7,9,4,3,2,12,8,13,14,11,10,1]=>[10,3,4,9,5,6,7,11,2,14,12,8,13,1]
[5,6,7,10,4,3,2,11,13,9,8,14,12,1]=>[12,3,4,10,5,6,7,9,14,2,11,13,1,8]
[5,6,7,10,4,3,2,12,13,9,14,11,8,1]=>[8,3,4,11,5,6,7,10,14,1,13,12,2,9]
[5,6,7,11,4,3,2,12,13,14,10,9,8,1]=>[8,3,4,9,5,6,7,10,14,11,1,12,13,2]
[5,6,8,9,4,3,11,7,2,13,10,14,12,1]=>[12,7,4,11,5,6,9,8,2,14,3,13,1,10]
[5,6,8,9,4,3,12,7,2,13,14,11,10,1]=>[10,7,4,11,5,6,9,8,2,14,12,3,13,1]
[5,6,8,10,4,3,11,7,13,9,2,14,12,1]=>[12,9,4,14,5,6,10,8,11,7,2,13,1,3]
[5,6,8,10,4,3,12,7,13,9,14,11,2,1]=>[2,11,4,10,5,6,14,8,12,3,13,9,1,7]
[5,6,8,11,4,3,12,7,13,14,10,9,2,1]=>[2,9,4,10,5,6,14,8,11,12,1,3,13,7]
[5,6,9,10,4,3,11,13,8,7,2,14,12,1]=>[12,7,4,8,5,6,14,10,9,3,11,13,1,2]
[5,6,9,10,4,3,12,13,8,7,14,11,2,1]=>[2,11,4,10,5,6,8,14,9,3,13,12,1,7]
[5,6,9,11,4,3,12,13,8,14,10,7,2,1]=>[2,7,4,10,5,6,14,11,9,13,8,12,3,1]
[5,6,10,11,4,3,12,13,14,9,8,7,2,1]=>[2,7,4,8,5,6,9,14,11,10,1,12,13,3]
[5,7,8,9,4,11,6,3,2,13,10,14,12,1]=>[12,3,6,11,5,9,7,8,2,14,4,13,1,10]
[5,7,8,9,4,12,6,3,2,13,14,11,10,1]=>[10,3,6,11,5,9,7,8,2,14,12,4,13,1]
[5,7,8,10,4,11,6,3,13,9,2,14,12,1]=>[12,9,6,14,5,11,7,8,10,2,3,13,1,4]
[5,7,8,10,4,12,6,3,13,9,14,11,2,1]=>[2,11,6,14,5,10,7,8,12,3,13,9,1,4]
[5,7,8,11,4,12,6,3,13,14,10,9,2,1]=>[2,9,6,10,5,14,7,8,12,11,4,1,13,3]
[5,7,9,10,4,11,6,13,8,3,2,14,12,1]=>[12,3,8,14,5,10,7,11,9,6,2,13,1,4]
[5,7,9,10,4,12,6,13,8,3,14,11,2,1]=>[2,11,8,14,5,10,7,13,9,6,12,1,3,4]
[5,7,9,11,4,12,6,13,8,14,10,3,2,1]=>[2,3,10,14,5,11,7,12,9,13,6,8,1,4]
[5,7,10,11,4,12,6,13,14,9,8,3,2,1]=>[2,3,8,9,5,14,7,11,12,10,1,4,13,6]
[5,8,9,10,4,11,13,7,6,3,2,14,12,1]=>[12,3,6,7,5,14,10,8,9,4,11,13,1,2]
[5,8,9,10,4,12,13,7,6,3,14,11,2,1]=>[2,11,6,7,5,14,10,8,9,4,13,12,1,3]
[5,8,9,11,4,12,13,7,6,14,10,3,2,1]=>[2,3,10,14,5,7,11,8,9,13,6,12,1,4]
[5,8,10,11,4,12,13,7,14,9,6,3,2,1]=>[2,3,6,9,5,14,11,8,13,10,7,12,4,1]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1]=>[2,3,6,7,5,8,14,11,9,10,1,12,13,4]
[6,7,8,9,11,5,4,3,2,13,10,14,12,1]=>[12,3,4,5,11,6,7,8,9,14,2,13,1,10]
[6,7,8,9,12,5,4,3,2,13,14,11,10,1]=>[10,3,4,5,11,6,7,8,9,14,12,2,13,1]
[6,7,8,10,11,5,4,3,13,9,2,14,12,1]=>[12,9,4,5,14,6,7,8,11,10,2,13,1,3]
[6,7,8,10,12,5,4,3,13,9,14,11,2,1]=>[2,11,4,5,14,6,7,8,12,10,13,9,1,3]
[6,7,8,11,12,5,4,3,13,14,10,9,2,1]=>[2,9,4,5,10,6,7,8,14,12,11,3,13,1]
[6,7,9,10,11,5,4,13,8,3,2,14,12,1]=>[12,3,8,5,14,6,7,11,9,10,2,13,1,4]
[6,7,9,10,12,5,4,13,8,3,14,11,2,1]=>[2,11,8,5,14,6,7,13,9,10,12,1,3,4]
[6,7,9,11,12,5,4,13,8,14,10,3,2,1]=>[2,3,10,5,14,6,7,12,9,13,11,8,1,4]
[6,7,10,11,12,5,4,13,14,9,8,3,2,1]=>[2,3,8,5,9,6,7,14,12,10,11,4,13,1]
[6,8,9,10,11,5,13,7,4,3,2,14,12,1]=>[12,3,4,7,14,6,11,8,9,10,2,13,1,5]
[6,8,9,10,12,5,13,7,4,3,14,11,2,1]=>[2,11,4,7,14,6,13,8,9,10,12,1,3,5]
[6,8,9,11,12,5,13,7,4,14,10,3,2,1]=>[2,3,10,7,14,6,13,8,9,12,11,1,4,5]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1]=>[2,3,4,9,14,6,12,8,13,10,11,7,1,5]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1]=>[2,3,4,7,8,6,14,12,9,10,11,5,13,1]
[7,8,9,10,11,13,6,5,4,3,2,14,12,1]=>[12,3,4,5,6,14,7,8,9,10,11,13,1,2]
[7,8,9,10,12,13,6,5,4,3,14,11,2,1]=>[2,11,4,5,6,14,7,8,9,10,13,12,1,3]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1]=>[2,3,10,5,6,14,7,8,9,13,11,12,1,4]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1]=>[2,3,4,9,6,14,7,8,13,10,11,12,1,5]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1]=>[2,3,4,5,8,14,7,13,9,10,11,12,1,6]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,14,8,9,10,11,12,13,1]
[7,8,9,10,11,12,6,5,4,3,2,1,14,13]=>[2,3,4,5,6,12,7,8,9,10,11,1,14,13]
[2,1,9,10,11,12,13,14,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,14,9,10,11,12,13,3]
[6,8,9,10,11,5,12,7,4,3,2,1,14,13]=>[2,3,4,7,12,6,11,8,9,10,1,5,14,13]
[2,1,8,10,11,12,13,7,14,9,6,5,4,3]=>[2,1,4,5,6,9,14,8,13,10,11,12,3,7]
[6,7,9,10,11,5,4,12,8,3,2,1,14,13]=>[2,3,8,5,12,6,7,11,9,10,1,4,14,13]
[5,8,9,10,4,11,12,7,6,3,2,1,14,13]=>[2,3,6,7,5,12,10,8,9,4,11,1,14,13]
[2,1,8,9,11,12,13,7,6,14,10,5,4,3]=>[2,1,4,5,10,7,14,8,9,13,11,12,3,6]
[2,1,7,10,11,12,6,13,14,9,8,5,4,3]=>[2,1,4,5,8,9,7,14,12,10,11,6,13,3]
[6,7,8,10,11,5,4,3,12,9,2,1,14,13]=>[2,9,4,5,12,6,7,8,11,10,1,3,14,13]
[5,7,9,10,4,11,6,12,8,3,2,1,14,13]=>[2,3,8,12,5,10,7,11,9,6,1,4,14,13]
[4,8,9,3,10,11,12,7,6,5,2,1,14,13]=>[2,5,6,4,7,12,9,8,1,10,11,3,14,13]
[2,1,8,9,10,12,13,7,6,5,14,11,4,3]=>[2,1,4,11,6,7,14,8,9,10,13,12,3,5]
[2,1,7,9,11,12,6,13,8,14,10,5,4,3]=>[2,1,4,5,10,14,7,12,9,13,11,8,3,6]
[2,1,6,10,11,5,12,13,14,9,8,7,4,3]=>[2,1,4,7,8,6,9,14,11,10,3,12,13,5]
[6,7,8,9,11,5,4,3,2,12,10,1,14,13]=>[10,3,4,5,12,6,7,8,9,11,1,2,14,13]
[5,7,8,10,4,11,6,3,12,9,2,1,14,13]=>[2,9,6,12,5,11,7,8,10,1,3,4,14,13]
[5,6,9,10,4,3,11,12,8,7,2,1,14,13]=>[2,7,4,8,5,6,12,10,9,3,11,1,14,13]
[4,7,9,3,10,11,6,12,8,5,2,1,14,13]=>[2,5,8,4,12,9,7,11,6,10,3,1,14,13]
[3,8,2,9,10,11,12,7,6,5,4,1,14,13]=>[4,5,3,6,7,12,8,2,9,10,11,1,14,13]
[6,7,8,9,10,5,4,3,2,1,13,14,12,11]=>[2,3,4,5,10,6,7,8,9,1,12,14,13,11]
[2,1,8,9,10,11,13,7,6,5,4,14,12,3]=>[2,1,12,5,6,7,14,8,9,10,11,13,3,4]
[2,1,7,9,10,12,6,13,8,5,14,11,4,3]=>[2,1,4,11,8,14,7,13,9,10,12,3,5,6]
[2,1,7,8,11,12,6,5,13,14,10,9,4,3]=>[2,1,4,9,6,10,7,8,14,12,11,5,13,3]
[2,1,6,9,11,5,12,13,8,14,10,7,4,3]=>[2,1,4,7,10,6,14,11,9,13,8,12,5,3]
[3,4,2,1,10,11,12,13,14,9,8,7,6,5]=>[2,4,3,1,6,7,8,9,14,10,11,12,13,5]
[2,1,5,10,4,11,12,13,14,9,8,7,6,3]=>[2,1,6,7,5,8,9,14,10,4,11,12,13,3]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13]
[2,1,4,3,6,5,8,7,10,9,14,13,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,13,14,11]
[2,1,4,3,6,5,8,7,14,11,10,13,12,9]=>[2,1,4,3,6,5,8,7,12,11,13,14,9,10]
[2,1,4,3,6,5,14,9,8,11,10,13,12,7]=>[2,1,4,3,6,5,12,9,13,11,7,14,10,8]
[2,1,4,3,14,7,6,9,8,11,10,13,12,5]=>[2,1,4,3,12,7,13,9,5,11,8,14,10,6]
[2,1,14,5,4,7,6,9,8,11,10,13,12,3]=>[2,1,12,5,13,7,3,9,6,11,8,14,10,4]
[2,1,4,3,6,5,8,7,14,13,12,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,12,13,14,9]
[2,1,4,3,6,5,14,11,10,9,8,13,12,7]=>[2,1,4,3,6,5,12,9,10,11,13,14,7,8]
[2,1,4,3,14,9,8,7,6,11,10,13,12,5]=>[2,1,4,3,12,7,8,9,13,11,5,14,10,6]
[2,1,14,7,6,5,4,9,8,11,10,13,12,3]=>[2,1,12,5,6,7,13,9,3,11,8,14,10,4]
[2,1,4,3,6,5,14,13,10,9,12,11,8,7]=>[2,1,4,3,6,5,8,11,10,12,13,7,14,9]
[2,1,4,3,14,11,8,7,10,9,6,13,12,5]=>[2,1,4,3,12,9,8,10,11,5,13,14,7,6]
[2,1,4,3,6,5,14,13,12,11,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,11,12,13,14,7]
[2,1,14,9,6,5,8,7,4,11,10,13,12,3]=>[2,1,12,7,6,8,9,3,13,11,5,14,10,4]
[2,1,4,3,14,11,10,9,8,7,6,13,12,5]=>[2,1,4,3,12,7,8,9,10,11,13,14,5,6]
[2,1,14,9,8,7,6,5,4,11,10,13,12,3]=>[2,1,12,5,6,7,8,9,13,11,3,14,10,4]
[2,1,4,3,14,13,8,7,10,9,12,11,6,5]=>[2,1,4,3,6,11,8,12,10,5,13,9,14,7]
[2,1,14,11,6,5,8,7,10,9,4,13,12,3]=>[2,1,12,9,6,10,8,3,11,7,13,14,5,4]
[2,1,4,3,14,13,8,7,12,11,10,9,6,5]=>[2,1,4,3,6,9,8,10,11,12,13,5,14,7]
[2,1,14,11,6,5,10,9,8,7,4,13,12,3]=>[2,1,12,7,6,8,9,10,11,3,13,14,5,4]
[2,1,4,3,14,13,12,9,8,11,10,7,6,5]=>[2,1,4,3,6,7,10,9,11,12,5,13,14,8]
[2,1,14,11,10,7,6,9,8,5,4,13,12,3]=>[2,1,12,5,8,7,9,10,3,11,13,14,6,4]
[2,4,6,8,10,12,14,1,3,5,7,9,11,13]=>[14,2,1,4,3,6,5,8,7,10,9,12,11,13]
[2,4,6,8,10,13,14,1,3,5,7,9,11,12]=>[14,2,1,4,3,6,5,8,7,10,9,11,13,12]
[2,4,6,8,11,13,14,1,3,5,7,9,10,12]=>[14,2,1,4,3,6,5,8,7,9,11,10,13,12]
[2,4,6,9,11,13,14,1,3,5,7,8,10,12]=>[14,2,1,4,3,6,5,7,9,8,11,10,13,12]
[2,4,7,9,11,13,14,1,3,5,6,8,10,12]=>[14,2,1,4,3,5,7,6,9,8,11,10,13,12]
[2,5,7,9,11,13,14,1,3,4,6,8,10,12]=>[14,2,1,3,5,4,7,6,9,8,11,10,13,12]
[3,5,7,9,11,13,14,1,2,4,6,8,10,12]=>[14,1,3,2,5,4,7,6,9,8,11,10,13,12]
[2,4,6,8,12,13,14,1,3,5,7,9,10,11]=>[14,2,1,4,3,6,5,8,7,9,10,12,13,11]
[2,4,6,10,11,13,14,1,3,5,7,8,9,12]=>[14,2,1,4,3,6,5,7,8,10,11,9,13,12]
[2,4,8,9,11,13,14,1,3,5,6,7,10,12]=>[14,2,1,4,3,5,6,8,9,7,11,10,13,12]
[2,6,7,9,11,13,14,1,3,4,5,8,10,12]=>[14,2,1,3,4,6,7,5,9,8,11,10,13,12]
[4,5,7,9,11,13,14,1,2,3,6,8,10,12]=>[14,1,2,4,5,3,7,6,9,8,11,10,13,12]
[2,4,6,10,12,13,14,1,3,5,7,8,9,11]=>[14,2,1,4,3,6,5,7,8,10,9,12,13,11]
[2,4,8,10,11,13,14,1,3,5,6,7,9,12]=>[14,2,1,4,3,5,6,8,7,10,11,9,13,12]
[2,4,6,11,12,13,14,1,3,5,7,8,9,10]=>[14,2,1,4,3,6,5,7,8,9,11,12,13,10]
[2,6,8,9,11,13,14,1,3,4,5,7,10,12]=>[14,2,1,3,4,6,5,8,9,7,11,10,13,12]
[2,4,9,10,11,13,14,1,3,5,6,7,8,12]=>[14,2,1,4,3,5,6,7,9,10,11,8,13,12]
[4,6,7,9,11,13,14,1,2,3,5,8,10,12]=>[14,1,2,4,3,6,7,5,9,8,11,10,13,12]
[2,7,8,9,11,13,14,1,3,4,5,6,10,12]=>[14,2,1,3,4,5,7,8,9,6,11,10,13,12]
[5,6,7,9,11,13,14,1,2,3,4,8,10,12]=>[14,1,2,3,5,6,7,4,9,8,11,10,13,12]
[2,4,8,10,12,13,14,1,3,5,6,7,9,11]=>[14,2,1,4,3,5,6,8,7,10,9,12,13,11]
[2,6,8,10,11,13,14,1,3,4,5,7,9,12]=>[14,2,1,3,4,6,5,8,7,10,11,9,13,12]
[2,4,8,11,12,13,14,1,3,5,6,7,9,10]=>[14,2,1,4,3,5,6,8,7,9,11,12,13,10]
[4,6,8,9,11,13,14,1,2,3,5,7,10,12]=>[14,1,2,4,3,6,5,8,9,7,11,10,13,12]
[2,6,9,10,11,13,14,1,3,4,5,7,8,12]=>[14,2,1,3,4,6,5,7,9,10,11,8,13,12]
[2,4,9,11,12,13,14,1,3,5,6,7,8,10]=>[14,2,1,4,3,5,6,7,9,8,11,12,13,10]
[4,7,8,9,11,13,14,1,2,3,5,6,10,12]=>[14,1,2,4,3,5,7,8,9,6,11,10,13,12]
[2,7,9,10,11,13,14,1,3,4,5,6,8,12]=>[14,2,1,3,4,5,7,6,9,10,11,8,13,12]
[5,7,8,9,11,13,14,1,2,3,4,6,10,12]=>[14,1,2,3,5,4,7,8,9,6,11,10,13,12]
[3,5,7,9,12,13,14,1,2,4,6,8,10,11]=>[14,1,3,2,5,4,7,6,9,8,10,12,13,11]
[3,5,7,10,11,13,14,1,2,4,6,8,9,12]=>[14,1,3,2,5,4,7,6,8,10,11,9,13,12]
[3,5,7,10,12,13,14,1,2,4,6,8,9,11]=>[14,1,3,2,5,4,7,6,8,10,9,12,13,11]
[3,5,7,11,12,13,14,1,2,4,6,8,9,10]=>[14,1,3,2,5,4,7,6,8,9,11,12,13,10]
[3,5,8,9,11,13,14,1,2,4,6,7,10,12]=>[14,1,3,2,5,4,6,8,9,7,11,10,13,12]
[3,5,8,9,12,13,14,1,2,4,6,7,10,11]=>[14,1,3,2,5,4,6,8,9,7,10,12,13,11]
[3,5,8,10,11,13,14,1,2,4,6,7,9,12]=>[14,1,3,2,5,4,6,8,7,10,11,9,13,12]
[3,5,8,10,12,13,14,1,2,4,6,7,9,11]=>[14,1,3,2,5,4,6,8,7,10,9,12,13,11]
[3,5,8,11,12,13,14,1,2,4,6,7,9,10]=>[14,1,3,2,5,4,6,8,7,9,11,12,13,10]
[3,5,9,10,11,13,14,1,2,4,6,7,8,12]=>[14,1,3,2,5,4,6,7,9,10,11,8,13,12]
[3,5,9,10,12,13,14,1,2,4,6,7,8,11]=>[14,1,3,2,5,4,6,7,9,10,8,12,13,11]
[3,5,9,11,12,13,14,1,2,4,6,7,8,10]=>[14,1,3,2,5,4,6,7,9,8,11,12,13,10]
[3,5,10,11,12,13,14,1,2,4,6,7,8,9]=>[14,1,3,2,5,4,6,7,8,10,11,12,13,9]
[3,6,7,9,11,13,14,1,2,4,5,8,10,12]=>[14,1,3,2,4,6,7,5,9,8,11,10,13,12]
[3,6,7,9,12,13,14,1,2,4,5,8,10,11]=>[14,1,3,2,4,6,7,5,9,8,10,12,13,11]
[3,6,7,10,11,13,14,1,2,4,5,8,9,12]=>[14,1,3,2,4,6,7,5,8,10,11,9,13,12]
[3,6,7,10,12,13,14,1,2,4,5,8,9,11]=>[14,1,3,2,4,6,7,5,8,10,9,12,13,11]
[3,6,7,11,12,13,14,1,2,4,5,8,9,10]=>[14,1,3,2,4,6,7,5,8,9,11,12,13,10]
[3,6,8,9,11,13,14,1,2,4,5,7,10,12]=>[14,1,3,2,4,6,5,8,9,7,11,10,13,12]
[3,6,8,9,12,13,14,1,2,4,5,7,10,11]=>[14,1,3,2,4,6,5,8,9,7,10,12,13,11]
[3,6,8,10,11,13,14,1,2,4,5,7,9,12]=>[14,1,3,2,4,6,5,8,7,10,11,9,13,12]
[3,6,8,10,12,13,14,1,2,4,5,7,9,11]=>[14,1,3,2,4,6,5,8,7,10,9,12,13,11]
[3,6,8,11,12,13,14,1,2,4,5,7,9,10]=>[14,1,3,2,4,6,5,8,7,9,11,12,13,10]
[3,6,9,10,11,13,14,1,2,4,5,7,8,12]=>[14,1,3,2,4,6,5,7,9,10,11,8,13,12]
[3,6,9,10,12,13,14,1,2,4,5,7,8,11]=>[14,1,3,2,4,6,5,7,9,10,8,12,13,11]
[3,6,9,11,12,13,14,1,2,4,5,7,8,10]=>[14,1,3,2,4,6,5,7,9,8,11,12,13,10]
[3,6,10,11,12,13,14,1,2,4,5,7,8,9]=>[14,1,3,2,4,6,5,7,8,10,11,12,13,9]
[3,7,8,9,11,13,14,1,2,4,5,6,10,12]=>[14,1,3,2,4,5,7,8,9,6,11,10,13,12]
[3,7,8,9,12,13,14,1,2,4,5,6,10,11]=>[14,1,3,2,4,5,7,8,9,6,10,12,13,11]
[3,7,8,10,11,13,14,1,2,4,5,6,9,12]=>[14,1,3,2,4,5,7,8,6,10,11,9,13,12]
[3,7,8,10,12,13,14,1,2,4,5,6,9,11]=>[14,1,3,2,4,5,7,8,6,10,9,12,13,11]
[3,7,8,11,12,13,14,1,2,4,5,6,9,10]=>[14,1,3,2,4,5,7,8,6,9,11,12,13,10]
[3,7,9,10,11,13,14,1,2,4,5,6,8,12]=>[14,1,3,2,4,5,7,6,9,10,11,8,13,12]
[3,7,9,10,12,13,14,1,2,4,5,6,8,11]=>[14,1,3,2,4,5,7,6,9,10,8,12,13,11]
[3,7,9,11,12,13,14,1,2,4,5,6,8,10]=>[14,1,3,2,4,5,7,6,9,8,11,12,13,10]
[3,7,10,11,12,13,14,1,2,4,5,6,8,9]=>[14,1,3,2,4,5,7,6,8,10,11,12,13,9]
[3,8,9,10,11,13,14,1,2,4,5,6,7,12]=>[14,1,3,2,4,5,6,8,9,10,11,7,13,12]
[3,8,9,10,12,13,14,1,2,4,5,6,7,11]=>[14,1,3,2,4,5,6,8,9,10,7,12,13,11]
[3,8,9,11,12,13,14,1,2,4,5,6,7,10]=>[14,1,3,2,4,5,6,8,9,7,11,12,13,10]
[3,8,10,11,12,13,14,1,2,4,5,6,7,9]=>[14,1,3,2,4,5,6,8,7,10,11,12,13,9]
[3,9,10,11,12,13,14,1,2,4,5,6,7,8]=>[14,1,3,2,4,5,6,7,9,10,11,12,13,8]
[4,5,7,9,12,13,14,1,2,3,6,8,10,11]=>[14,1,2,4,5,3,7,6,9,8,10,12,13,11]
[4,5,7,10,11,13,14,1,2,3,6,8,9,12]=>[14,1,2,4,5,3,7,6,8,10,11,9,13,12]
[4,5,7,10,12,13,14,1,2,3,6,8,9,11]=>[14,1,2,4,5,3,7,6,8,10,9,12,13,11]
[4,5,7,11,12,13,14,1,2,3,6,8,9,10]=>[14,1,2,4,5,3,7,6,8,9,11,12,13,10]
[4,5,8,9,11,13,14,1,2,3,6,7,10,12]=>[14,1,2,4,5,3,6,8,9,7,11,10,13,12]
[4,5,8,9,12,13,14,1,2,3,6,7,10,11]=>[14,1,2,4,5,3,6,8,9,7,10,12,13,11]
[4,5,8,10,11,13,14,1,2,3,6,7,9,12]=>[14,1,2,4,5,3,6,8,7,10,11,9,13,12]
[4,5,8,10,12,13,14,1,2,3,6,7,9,11]=>[14,1,2,4,5,3,6,8,7,10,9,12,13,11]
[4,5,8,11,12,13,14,1,2,3,6,7,9,10]=>[14,1,2,4,5,3,6,8,7,9,11,12,13,10]
[4,5,9,10,11,13,14,1,2,3,6,7,8,12]=>[14,1,2,4,5,3,6,7,9,10,11,8,13,12]
[4,5,9,10,12,13,14,1,2,3,6,7,8,11]=>[14,1,2,4,5,3,6,7,9,10,8,12,13,11]
[4,5,9,11,12,13,14,1,2,3,6,7,8,10]=>[14,1,2,4,5,3,6,7,9,8,11,12,13,10]
[4,5,10,11,12,13,14,1,2,3,6,7,8,9]=>[14,1,2,4,5,3,6,7,8,10,11,12,13,9]
[4,6,7,9,12,13,14,1,2,3,5,8,10,11]=>[14,1,2,4,3,6,7,5,9,8,10,12,13,11]
[4,6,7,10,11,13,14,1,2,3,5,8,9,12]=>[14,1,2,4,3,6,7,5,8,10,11,9,13,12]
[4,6,7,10,12,13,14,1,2,3,5,8,9,11]=>[14,1,2,4,3,6,7,5,8,10,9,12,13,11]
[4,6,7,11,12,13,14,1,2,3,5,8,9,10]=>[14,1,2,4,3,6,7,5,8,9,11,12,13,10]
[4,6,8,9,12,13,14,1,2,3,5,7,10,11]=>[14,1,2,4,3,6,5,8,9,7,10,12,13,11]
[4,6,8,10,11,13,14,1,2,3,5,7,9,12]=>[14,1,2,4,3,6,5,8,7,10,11,9,13,12]
[4,6,8,10,12,13,14,1,2,3,5,7,9,11]=>[14,1,2,4,3,6,5,8,7,10,9,12,13,11]
[4,6,8,11,12,13,14,1,2,3,5,7,9,10]=>[14,1,2,4,3,6,5,8,7,9,11,12,13,10]
[4,6,9,10,11,13,14,1,2,3,5,7,8,12]=>[14,1,2,4,3,6,5,7,9,10,11,8,13,12]
[4,6,9,10,12,13,14,1,2,3,5,7,8,11]=>[14,1,2,4,3,6,5,7,9,10,8,12,13,11]
[4,6,9,11,12,13,14,1,2,3,5,7,8,10]=>[14,1,2,4,3,6,5,7,9,8,11,12,13,10]
[4,6,10,11,12,13,14,1,2,3,5,7,8,9]=>[14,1,2,4,3,6,5,7,8,10,11,12,13,9]
[4,7,8,9,12,13,14,1,2,3,5,6,10,11]=>[14,1,2,4,3,5,7,8,9,6,10,12,13,11]
[4,7,8,10,11,13,14,1,2,3,5,6,9,12]=>[14,1,2,4,3,5,7,8,6,10,11,9,13,12]
[4,7,8,10,12,13,14,1,2,3,5,6,9,11]=>[14,1,2,4,3,5,7,8,6,10,9,12,13,11]
[4,7,8,11,12,13,14,1,2,3,5,6,9,10]=>[14,1,2,4,3,5,7,8,6,9,11,12,13,10]
[4,7,9,10,11,13,14,1,2,3,5,6,8,12]=>[14,1,2,4,3,5,7,6,9,10,11,8,13,12]
[4,7,9,10,12,13,14,1,2,3,5,6,8,11]=>[14,1,2,4,3,5,7,6,9,10,8,12,13,11]
[4,7,9,11,12,13,14,1,2,3,5,6,8,10]=>[14,1,2,4,3,5,7,6,9,8,11,12,13,10]
[4,7,10,11,12,13,14,1,2,3,5,6,8,9]=>[14,1,2,4,3,5,7,6,8,10,11,12,13,9]
[4,8,9,10,11,13,14,1,2,3,5,6,7,12]=>[14,1,2,4,3,5,6,8,9,10,11,7,13,12]
[4,8,9,10,12,13,14,1,2,3,5,6,7,11]=>[14,1,2,4,3,5,6,8,9,10,7,12,13,11]
[4,8,9,11,12,13,14,1,2,3,5,6,7,10]=>[14,1,2,4,3,5,6,8,9,7,11,12,13,10]
[4,8,10,11,12,13,14,1,2,3,5,6,7,9]=>[14,1,2,4,3,5,6,8,7,10,11,12,13,9]
[4,9,10,11,12,13,14,1,2,3,5,6,7,8]=>[14,1,2,4,3,5,6,7,9,10,11,12,13,8]
[5,6,7,9,12,13,14,1,2,3,4,8,10,11]=>[14,1,2,3,5,6,7,4,9,8,10,12,13,11]
[5,6,7,10,11,13,14,1,2,3,4,8,9,12]=>[14,1,2,3,5,6,7,4,8,10,11,9,13,12]
[5,6,7,10,12,13,14,1,2,3,4,8,9,11]=>[14,1,2,3,5,6,7,4,8,10,9,12,13,11]
[5,6,7,11,12,13,14,1,2,3,4,8,9,10]=>[14,1,2,3,5,6,7,4,8,9,11,12,13,10]
[5,6,8,9,11,13,14,1,2,3,4,7,10,12]=>[14,1,2,3,5,6,4,8,9,7,11,10,13,12]
[5,6,8,9,12,13,14,1,2,3,4,7,10,11]=>[14,1,2,3,5,6,4,8,9,7,10,12,13,11]
[5,6,8,10,11,13,14,1,2,3,4,7,9,12]=>[14,1,2,3,5,6,4,8,7,10,11,9,13,12]
[5,6,8,10,12,13,14,1,2,3,4,7,9,11]=>[14,1,2,3,5,6,4,8,7,10,9,12,13,11]
[5,6,8,11,12,13,14,1,2,3,4,7,9,10]=>[14,1,2,3,5,6,4,8,7,9,11,12,13,10]
[5,6,9,10,11,13,14,1,2,3,4,7,8,12]=>[14,1,2,3,5,6,4,7,9,10,11,8,13,12]
[5,6,9,10,12,13,14,1,2,3,4,7,8,11]=>[14,1,2,3,5,6,4,7,9,10,8,12,13,11]
[5,6,9,11,12,13,14,1,2,3,4,7,8,10]=>[14,1,2,3,5,6,4,7,9,8,11,12,13,10]
[5,6,10,11,12,13,14,1,2,3,4,7,8,9]=>[14,1,2,3,5,6,4,7,8,10,11,12,13,9]
[5,7,8,9,12,13,14,1,2,3,4,6,10,11]=>[14,1,2,3,5,4,7,8,9,6,10,12,13,11]
[5,7,8,10,11,13,14,1,2,3,4,6,9,12]=>[14,1,2,3,5,4,7,8,6,10,11,9,13,12]
[5,7,8,10,12,13,14,1,2,3,4,6,9,11]=>[14,1,2,3,5,4,7,8,6,10,9,12,13,11]
[5,7,8,11,12,13,14,1,2,3,4,6,9,10]=>[14,1,2,3,5,4,7,8,6,9,11,12,13,10]
[5,7,9,10,11,13,14,1,2,3,4,6,8,12]=>[14,1,2,3,5,4,7,6,9,10,11,8,13,12]
[5,7,9,10,12,13,14,1,2,3,4,6,8,11]=>[14,1,2,3,5,4,7,6,9,10,8,12,13,11]
[5,7,9,11,12,13,14,1,2,3,4,6,8,10]=>[14,1,2,3,5,4,7,6,9,8,11,12,13,10]
[5,7,10,11,12,13,14,1,2,3,4,6,8,9]=>[14,1,2,3,5,4,7,6,8,10,11,12,13,9]
[5,8,9,10,11,13,14,1,2,3,4,6,7,12]=>[14,1,2,3,5,4,6,8,9,10,11,7,13,12]
[5,8,9,10,12,13,14,1,2,3,4,6,7,11]=>[14,1,2,3,5,4,6,8,9,10,7,12,13,11]
[5,8,9,11,12,13,14,1,2,3,4,6,7,10]=>[14,1,2,3,5,4,6,8,9,7,11,12,13,10]
[5,8,10,11,12,13,14,1,2,3,4,6,7,9]=>[14,1,2,3,5,4,6,8,7,10,11,12,13,9]
[5,9,10,11,12,13,14,1,2,3,4,6,7,8]=>[14,1,2,3,5,4,6,7,9,10,11,12,13,8]
[6,7,8,9,11,13,14,1,2,3,4,5,10,12]=>[14,1,2,3,4,6,7,8,9,5,11,10,13,12]
[6,7,8,9,12,13,14,1,2,3,4,5,10,11]=>[14,1,2,3,4,6,7,8,9,5,10,12,13,11]
[6,7,8,10,11,13,14,1,2,3,4,5,9,12]=>[14,1,2,3,4,6,7,8,5,10,11,9,13,12]
[6,7,8,10,12,13,14,1,2,3,4,5,9,11]=>[14,1,2,3,4,6,7,8,5,10,9,12,13,11]
[6,7,8,11,12,13,14,1,2,3,4,5,9,10]=>[14,1,2,3,4,6,7,8,5,9,11,12,13,10]
[6,7,9,10,11,13,14,1,2,3,4,5,8,12]=>[14,1,2,3,4,6,7,5,9,10,11,8,13,12]
[6,7,9,10,12,13,14,1,2,3,4,5,8,11]=>[14,1,2,3,4,6,7,5,9,10,8,12,13,11]
[6,7,9,11,12,13,14,1,2,3,4,5,8,10]=>[14,1,2,3,4,6,7,5,9,8,11,12,13,10]
[6,7,10,11,12,13,14,1,2,3,4,5,8,9]=>[14,1,2,3,4,6,7,5,8,10,11,12,13,9]
[6,8,9,10,11,13,14,1,2,3,4,5,7,12]=>[14,1,2,3,4,6,5,8,9,10,11,7,13,12]
[6,8,9,10,12,13,14,1,2,3,4,5,7,11]=>[14,1,2,3,4,6,5,8,9,10,7,12,13,11]
[6,8,9,11,12,13,14,1,2,3,4,5,7,10]=>[14,1,2,3,4,6,5,8,9,7,11,12,13,10]
[6,8,10,11,12,13,14,1,2,3,4,5,7,9]=>[14,1,2,3,4,6,5,8,7,10,11,12,13,9]
[6,9,10,11,12,13,14,1,2,3,4,5,7,8]=>[14,1,2,3,4,6,5,7,9,10,11,12,13,8]
[7,8,9,10,11,13,14,1,2,3,4,5,6,12]=>[14,1,2,3,4,5,7,8,9,10,11,6,13,12]
[7,8,9,10,12,13,14,1,2,3,4,5,6,11]=>[14,1,2,3,4,5,7,8,9,10,6,12,13,11]
[7,8,9,11,12,13,14,1,2,3,4,5,6,10]=>[14,1,2,3,4,5,7,8,9,6,11,12,13,10]
[7,8,10,11,12,13,14,1,2,3,4,5,6,9]=>[14,1,2,3,4,5,7,8,6,10,11,12,13,9]
[7,9,10,11,12,13,14,1,2,3,4,5,6,8]=>[14,1,2,3,4,5,7,6,9,10,11,12,13,8]
[8,9,10,11,12,13,14,1,2,3,4,5,6,7]=>[14,1,2,3,4,5,6,8,9,10,11,12,13,7]
[7,8,9,10,11,12,14,1,2,3,4,5,6,13]=>[14,1,2,3,4,5,7,8,9,10,11,12,6,13]
[2,9,10,11,12,13,14,1,3,4,5,6,7,8]=>[14,2,1,3,4,5,6,7,9,10,11,12,13,8]
[6,8,9,10,11,12,14,1,2,3,4,5,7,13]=>[14,1,2,3,4,6,5,8,9,10,11,12,7,13]
[2,8,10,11,12,13,14,1,3,4,5,6,7,9]=>[14,2,1,3,4,5,6,8,7,10,11,12,13,9]
[6,7,9,10,11,12,14,1,2,3,4,5,8,13]=>[14,1,2,3,4,6,7,5,9,10,11,12,8,13]
[5,8,9,10,11,12,14,1,2,3,4,6,7,13]=>[14,1,2,3,5,4,6,8,9,10,11,12,7,13]
[2,8,9,11,12,13,14,1,3,4,5,6,7,10]=>[14,2,1,3,4,5,6,8,9,7,11,12,13,10]
[2,7,10,11,12,13,14,1,3,4,5,6,8,9]=>[14,2,1,3,4,5,7,6,8,10,11,12,13,9]
[6,7,8,10,11,12,14,1,2,3,4,5,9,13]=>[14,1,2,3,4,6,7,8,5,10,11,12,9,13]
[5,7,9,10,11,12,14,1,2,3,4,6,8,13]=>[14,1,2,3,5,4,7,6,9,10,11,12,8,13]
[4,8,9,10,11,12,14,1,2,3,5,6,7,13]=>[14,1,2,4,3,5,6,8,9,10,11,12,7,13]
[2,8,9,10,12,13,14,1,3,4,5,6,7,11]=>[14,2,1,3,4,5,6,8,9,10,7,12,13,11]
[2,7,9,11,12,13,14,1,3,4,5,6,8,10]=>[14,2,1,3,4,5,7,6,9,8,11,12,13,10]
[2,6,10,11,12,13,14,1,3,4,5,7,8,9]=>[14,2,1,3,4,6,5,7,8,10,11,12,13,9]
[6,7,8,9,11,12,14,1,2,3,4,5,10,13]=>[14,1,2,3,4,6,7,8,9,5,11,12,10,13]
[5,7,8,10,11,12,14,1,2,3,4,6,9,13]=>[14,1,2,3,5,4,7,8,6,10,11,12,9,13]
[5,6,9,10,11,12,14,1,2,3,4,7,8,13]=>[14,1,2,3,5,6,4,7,9,10,11,12,8,13]
[4,7,9,10,11,12,14,1,2,3,5,6,8,13]=>[14,1,2,4,3,5,7,6,9,10,11,12,8,13]
[3,8,9,10,11,12,14,1,2,4,5,6,7,13]=>[14,1,3,2,4,5,6,8,9,10,11,12,7,13]
[6,7,8,9,10,13,14,1,2,3,4,5,11,12]=>[14,1,2,3,4,6,7,8,9,10,5,11,13,12]
[2,8,9,10,11,13,14,1,3,4,5,6,7,12]=>[14,2,1,3,4,5,6,8,9,10,11,7,13,12]
[2,7,9,10,12,13,14,1,3,4,5,6,8,11]=>[14,2,1,3,4,5,7,6,9,10,8,12,13,11]
[2,7,8,11,12,13,14,1,3,4,5,6,9,10]=>[14,2,1,3,4,5,7,8,6,9,11,12,13,10]
[2,6,9,11,12,13,14,1,3,4,5,7,8,10]=>[14,2,1,3,4,6,5,7,9,8,11,12,13,10]
[3,4,10,11,12,13,14,1,2,5,6,7,8,9]=>[14,1,3,4,2,5,6,7,8,10,11,12,13,9]
[2,5,10,11,12,13,14,1,3,4,6,7,8,9]=>[14,2,1,3,5,4,6,7,8,10,11,12,13,9]
[14,12,13,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,13,9,10,14,12,5]
[14,12,13,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,13,10,14,12,5]
[14,13,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,13,10,11,14,5]
[2,1,4,3,6,5,8,7,10,9,13,14,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,14,13,11]
[2,1,4,3,6,5,8,7,11,13,10,14,12,9]=>[2,1,4,3,6,5,8,7,12,14,11,13,9,10]
[2,1,4,3,6,5,9,11,8,13,10,14,12,7]=>[2,1,4,3,6,5,12,11,9,14,8,13,7,10]
[2,1,4,3,7,9,6,11,8,13,10,14,12,5]=>[2,1,4,3,12,9,7,11,6,14,8,13,5,10]
[2,1,5,7,4,9,6,11,8,13,10,14,12,3]=>[2,1,12,7,5,9,4,11,6,14,8,13,3,10]
[2,1,4,3,6,5,8,7,12,13,14,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,14,12,13,9]
[2,1,4,3,6,5,10,11,13,9,8,14,12,7]=>[2,1,4,3,6,5,12,9,14,10,11,13,7,8]
[2,1,4,3,8,9,11,7,6,13,10,14,12,5]=>[2,1,4,3,12,7,11,8,9,14,6,13,5,10]
[2,1,6,7,9,5,4,11,8,13,10,14,12,3]=>[2,1,12,5,9,6,7,11,4,14,8,13,3,10]
[2,1,4,3,6,5,10,12,13,9,14,11,8,7]=>[2,1,4,3,6,5,8,11,14,10,13,12,7,9]
[2,1,4,3,8,10,11,7,13,9,6,14,12,5]=>[2,1,4,3,12,9,14,8,11,10,6,13,5,7]
[2,1,4,3,6,5,11,12,13,14,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,14,11,12,13,7]
[2,1,6,8,9,5,11,7,4,13,10,14,12,3]=>[2,1,12,7,11,6,9,8,4,14,5,13,3,10]
[2,1,4,3,9,10,11,13,8,7,6,14,12,5]=>[2,1,4,3,12,7,8,14,9,10,11,13,5,6]
[2,1,7,8,9,11,6,5,4,13,10,14,12,3]=>[2,1,12,5,6,11,7,8,9,14,4,13,3,10]
[2,1,4,3,8,10,12,7,13,9,14,11,6,5]=>[2,1,4,3,6,11,14,8,12,10,13,9,5,7]
[2,1,6,8,10,5,11,7,13,9,4,14,12,3]=>[2,1,12,9,14,6,10,8,11,7,4,13,3,5]
[2,1,4,3,8,11,12,7,13,14,10,9,6,5]=>[2,1,4,3,6,9,10,8,14,12,11,7,13,5]
[2,1,6,9,10,5,11,13,8,7,4,14,12,3]=>[2,1,12,7,8,6,14,10,9,5,11,13,3,4]
[2,1,4,3,9,11,12,13,8,14,10,7,6,5]=>[2,1,4,3,6,7,10,14,9,13,11,12,5,8]
[2,1,7,9,10,11,6,13,8,5,4,14,12,3]=>[2,1,12,5,8,14,7,11,9,10,4,13,3,6]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[14,13,1,12,2,3,11,4,5,6,7,8,9,10,15]
[15,13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,14,10,11,15,13,5]
[14,13,15,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,15,10,11,14,13,5]
[15,12,13,10,11,14,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,14,6,7,8,13,10,15,12,11,5]
[14,12,15,10,11,13,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,13,6,7,8,15,10,14,11,12,5]
[13,12,14,10,11,15,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,15,6,7,8,14,10,13,12,11,5]
[15,13,14,9,10,11,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,11,6,7,14,9,10,8,15,13,5]
[14,13,15,9,10,11,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,11,6,7,15,9,10,8,14,13,5]
[15,12,13,9,10,14,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,14,6,7,13,9,8,15,12,10,5]
[14,12,15,9,10,13,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,13,6,7,15,9,8,14,10,12,5]
[13,12,14,9,10,15,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,15,6,7,14,9,8,13,12,10,5]
[15,11,12,9,10,13,6,7,8,14,1,2,3,4,5]=>[14,1,2,3,4,13,6,7,12,9,15,11,10,8,5]
[14,11,15,9,10,12,6,7,8,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,7,15,9,14,10,8,11,5]
[13,11,14,9,10,15,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,7,14,9,13,8,11,10,5]
[12,11,13,9,10,14,6,7,8,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,7,13,9,12,11,10,8,5]
[15,13,14,10,11,12,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,12,5,6,7,4,14,10,11,15,13,9]
[14,13,15,10,11,12,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,12,5,6,7,4,15,10,11,14,13,9]
[15,12,13,10,11,14,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,14,5,6,7,4,13,10,15,12,11,9]
[14,12,15,10,11,13,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,13,5,6,7,4,15,10,14,11,12,9]
[13,12,14,10,11,15,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,15,5,6,7,4,14,10,13,12,11,9]
[15,13,14,9,10,11,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,11,5,6,4,14,9,10,7,15,13,8]
[14,13,15,9,10,11,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,11,5,6,4,15,9,10,7,14,13,8]
[15,12,13,9,10,14,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,14,5,6,4,13,9,7,15,12,10,8]
[14,12,15,9,10,13,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,13,5,6,4,15,9,7,14,10,12,8]
[13,12,14,9,10,15,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,15,5,6,4,14,9,7,13,12,10,8]
[15,11,12,9,10,13,5,6,7,14,1,2,3,4,8]=>[14,1,2,3,13,5,6,4,12,9,15,11,10,7,8]
[14,11,15,9,10,12,5,6,7,13,1,2,3,4,8]=>[13,1,2,3,12,5,6,4,15,9,14,10,7,11,8]
[13,11,14,9,10,15,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,15,5,6,4,14,9,13,7,11,10,8]
[12,11,13,9,10,14,5,6,7,15,1,2,3,4,8]=>[15,1,2,3,14,5,6,4,13,9,12,11,10,7,8]
[15,13,14,8,9,10,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,10,5,6,14,8,9,7,4,15,13,12]
[14,13,15,8,9,10,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,10,5,6,15,8,9,7,4,14,13,12]
[15,12,13,8,9,14,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,14,5,6,13,8,7,4,15,12,9,11]
[14,12,15,8,9,13,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,13,5,6,15,8,7,4,14,9,12,11]
[13,12,14,8,9,15,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,15,5,6,14,8,7,4,13,12,9,11]
[15,11,12,8,9,13,5,6,7,14,1,2,3,4,10]=>[14,1,2,3,13,5,6,12,8,4,15,11,9,7,10]
[14,11,15,8,9,12,5,6,7,13,1,2,3,4,10]=>[13,1,2,3,12,5,6,15,8,4,14,9,7,11,10]
[13,11,14,8,9,15,5,6,7,12,1,2,3,4,10]=>[12,1,2,3,15,5,6,14,8,4,13,7,11,9,10]
[12,11,13,8,9,14,5,6,7,15,1,2,3,4,10]=>[15,1,2,3,14,5,6,13,8,4,12,11,9,7,10]
[15,10,11,8,9,12,5,6,7,13,1,2,3,4,14]=>[13,1,2,3,12,5,6,11,8,15,10,9,7,4,14]
[14,10,15,8,9,11,5,6,7,12,1,2,3,4,13]=>[12,1,2,3,11,5,6,15,8,14,9,7,4,10,13]
[13,10,14,8,9,15,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,15,5,6,14,8,13,7,4,10,9,12]
[12,10,13,8,9,14,5,6,7,15,1,2,3,4,11]=>[15,1,2,3,14,5,6,13,8,12,4,10,9,7,11]
[11,10,12,8,9,13,5,6,7,14,1,2,3,4,15]=>[14,1,2,3,13,5,6,12,8,11,10,9,7,4,15]
[13,11,14,10,12,15,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,15,6,7,8,14,13,10,11,12,5]
[13,11,14,9,12,15,6,7,8,10,1,2,3,4,5]=>[10,1,2,3,4,15,6,7,14,8,13,9,11,12,5]
[15,11,12,8,9,13,6,7,10,14,1,2,3,4,5]=>[14,1,2,3,4,13,6,12,8,7,15,11,9,10,5]
[14,11,15,8,9,12,6,7,10,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,15,8,7,14,9,10,11,5]
[13,10,14,8,11,15,6,7,9,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,14,7,13,8,9,10,11,5]
[12,9,13,7,10,14,6,8,11,15,1,2,3,4,5]=>[15,1,2,3,4,14,13,6,12,7,8,9,10,11,5]
[13,11,14,10,12,15,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,15,5,6,7,4,14,13,10,11,12,9]
[13,11,14,9,12,15,5,6,7,10,1,2,3,4,8]=>[10,1,2,3,15,5,6,4,14,7,13,9,11,12,8]
[15,11,12,8,9,13,5,6,10,14,1,2,3,4,7]=>[14,1,2,3,13,5,4,12,8,6,15,11,9,10,7]
[14,11,15,8,9,12,5,6,10,13,1,2,3,4,7]=>[13,1,2,3,12,5,4,15,8,6,14,9,10,11,7]
[13,10,14,8,11,15,5,6,9,12,1,2,3,4,7]=>[12,1,2,3,15,5,4,14,6,13,8,9,10,11,7]
[12,9,13,7,10,14,5,8,11,15,1,2,3,4,6]=>[15,1,2,3,14,4,13,5,12,7,8,9,10,11,6]
[15,13,14,8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,14,8,9,6,7,15,13,12]
[14,13,15,8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,15,8,9,6,7,14,13,12]
[15,12,13,8,9,14,4,5,6,10,1,2,3,7,11]=>[10,1,2,14,4,5,3,13,8,6,7,15,12,9,11]
[14,12,15,8,9,13,4,5,6,10,1,2,3,7,11]=>[10,1,2,13,4,5,3,15,8,6,7,14,9,12,11]
[13,11,14,8,12,15,4,5,6,9,1,2,3,7,10]=>[9,1,2,15,4,5,3,14,6,7,13,8,11,12,10]
[15,11,12,7,8,13,4,5,9,14,1,2,3,6,10]=>[14,1,2,13,4,3,12,7,5,6,15,11,8,9,10]
[14,11,15,7,8,12,4,5,9,13,1,2,3,6,10]=>[13,1,2,12,4,3,15,7,5,6,14,8,9,11,10]
[13,10,14,7,11,15,4,5,8,12,1,2,3,6,9]=>[12,1,2,15,4,3,14,5,6,13,7,8,10,11,9]
[12,9,13,6,10,14,4,7,11,15,1,2,3,5,8]=>[15,1,2,14,3,13,4,5,12,6,7,9,10,11,8]
[15,10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[13,1,12,3,2,11,6,4,5,15,10,7,8,9,14]
[14,10,15,6,7,11,3,4,8,12,1,2,5,9,13]=>[12,1,11,3,2,15,6,4,5,14,7,8,9,10,13]
[13,9,14,6,10,15,3,4,7,11,1,2,5,8,12]=>[11,1,15,3,2,14,4,5,13,6,7,8,9,10,12]
[12,8,13,5,9,14,3,6,10,15,1,2,4,7,11]=>[15,1,14,2,13,3,4,12,5,6,7,8,9,10,11]
[14,11,15,10,12,13,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,13,6,7,8,15,14,10,12,11,5]
[14,10,15,9,11,12,6,7,8,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,7,15,14,9,11,8,10,5]
[12,10,13,9,11,14,6,7,8,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,7,13,12,9,10,11,8,5]
[15,12,13,8,9,14,6,7,10,11,1,2,3,4,5]=>[11,1,2,3,4,14,6,13,8,7,10,15,12,9,5]
[13,12,14,8,9,15,6,7,10,11,1,2,3,4,5]=>[11,1,2,3,4,15,6,14,8,7,10,13,12,9,5]
[12,11,13,8,9,14,6,7,10,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,13,8,7,12,11,9,10,5]
[13,9,14,8,10,15,6,7,11,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,14,13,8,7,11,9,10,5]
[12,9,13,8,10,14,6,7,11,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,13,12,8,7,9,10,11,5]
[14,11,15,7,12,13,6,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,13,15,6,8,9,14,7,12,11,5]
[13,11,14,7,12,15,6,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,15,14,6,8,9,13,7,11,12,5]
[14,10,15,7,11,12,6,8,9,13,1,2,3,4,5]=>[13,1,2,3,4,12,15,6,8,14,7,11,9,10,5]
[12,10,13,7,11,14,6,8,9,15,1,2,3,4,5]=>[15,1,2,3,4,14,13,6,8,12,7,10,11,9,5]
[13,9,14,7,10,15,6,8,11,12,1,2,3,4,5]=>[12,1,2,3,4,15,14,6,13,7,8,11,9,10,5]
[14,11,15,10,12,13,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,13,5,6,7,4,15,14,10,12,11,9]
[14,9,15,8,10,11,5,6,7,12,1,2,3,4,13]=>[12,1,2,3,11,5,6,15,14,8,10,7,4,9,13]
[11,9,12,8,10,13,5,6,7,14,1,2,3,4,15]=>[14,1,2,3,13,5,6,12,11,8,9,10,7,4,15]
[15,12,13,7,8,14,5,6,9,10,1,2,3,4,11]=>[10,1,2,3,14,5,13,7,6,9,4,15,12,8,11]
[13,12,14,7,8,15,5,6,9,10,1,2,3,4,11]=>[10,1,2,3,15,5,14,7,6,9,4,13,12,8,11]
[15,10,11,7,8,12,5,6,9,13,1,2,3,4,14]=>[13,1,2,3,12,5,11,7,6,15,10,8,9,4,14]
[11,10,12,7,8,13,5,6,9,14,1,2,3,4,15]=>[14,1,2,3,13,5,12,7,6,11,10,8,9,4,15]
[13,8,14,7,9,15,5,6,10,11,1,2,3,4,12]=>[11,1,2,3,15,5,14,13,7,6,10,4,8,9,12]
[11,8,12,7,9,13,5,6,10,14,1,2,3,4,15]=>[14,1,2,3,13,5,12,11,7,6,8,9,10,4,15]
[14,11,15,6,12,13,5,7,8,9,1,2,3,4,10]=>[9,1,2,3,13,15,5,7,8,4,14,6,12,11,10]
[13,11,14,6,12,15,5,7,8,9,1,2,3,4,10]=>[9,1,2,3,15,14,5,7,8,4,13,6,11,12,10]
[14,9,15,6,10,11,5,7,8,12,1,2,3,4,13]=>[12,1,2,3,11,15,5,7,14,6,10,8,4,9,13]
[11,9,12,6,10,13,5,7,8,14,1,2,3,4,15]=>[14,1,2,3,13,12,5,7,11,6,9,10,8,4,15]
[13,8,14,6,9,15,5,7,10,11,1,2,3,4,12]=>[11,1,2,3,15,14,5,13,6,7,10,4,8,9,12]
[11,8,12,6,9,13,5,7,10,14,1,2,3,4,15]=>[14,1,2,3,13,12,5,11,6,7,8,9,10,4,15]
[15,13,14,9,10,11,4,5,6,12,1,2,3,7,8]=>[12,1,2,11,4,5,3,7,14,9,10,6,15,13,8]
[14,13,15,9,10,11,4,5,6,12,1,2,3,7,8]=>[12,1,2,11,4,5,3,7,15,9,10,6,14,13,8]
[15,11,12,9,10,13,4,5,6,14,1,2,3,7,8]=>[14,1,2,13,4,5,3,7,12,9,15,11,10,6,8]
[12,11,13,9,10,14,4,5,6,15,1,2,3,7,8]=>[15,1,2,14,4,5,3,7,13,9,12,11,10,6,8]
[14,10,15,9,11,12,4,5,6,13,1,2,3,7,8]=>[13,1,2,12,4,5,3,7,15,14,9,11,6,10,8]
[12,10,13,9,11,14,4,5,6,15,1,2,3,7,8]=>[15,1,2,14,4,5,3,7,13,12,9,10,11,6,8]
[15,10,11,8,9,12,4,5,6,13,1,2,3,7,14]=>[13,1,2,12,4,5,3,11,8,15,10,9,6,7,14]
[11,10,12,8,9,13,4,5,6,14,1,2,3,7,15]=>[14,1,2,13,4,5,3,12,8,11,10,9,6,7,15]
[14,9,15,8,10,11,4,5,6,12,1,2,3,7,13]=>[12,1,2,11,4,5,3,15,14,8,10,6,7,9,13]
[11,9,12,8,10,13,4,5,6,14,1,2,3,7,15]=>[14,1,2,13,4,5,3,12,11,8,9,10,6,7,15]
[15,11,12,6,7,13,4,5,8,14,1,2,3,9,10]=>[14,1,2,13,4,12,6,5,3,9,15,11,7,8,10]
[12,11,13,6,7,14,4,5,8,15,1,2,3,9,10]=>[15,1,2,14,4,13,6,5,3,9,12,11,7,8,10]
[15,10,11,6,7,12,4,5,8,13,1,2,3,9,14]=>[13,1,2,12,4,11,6,5,3,15,10,7,8,9,14]
[11,10,12,6,7,13,4,5,8,14,1,2,3,9,15]=>[14,1,2,13,4,12,6,5,3,11,10,7,8,9,15]
[12,7,13,6,8,14,4,5,9,15,1,2,3,10,11]=>[15,1,2,14,4,13,12,6,5,3,10,7,8,9,11]
[11,7,12,6,8,13,4,5,9,14,1,2,3,10,15]=>[14,1,2,13,4,12,11,6,5,3,7,8,9,10,15]
[14,10,15,5,11,12,4,6,7,13,1,2,3,8,9]=>[13,1,2,12,15,4,6,3,8,14,5,11,7,10,9]
[12,10,13,5,11,14,4,6,7,15,1,2,3,8,9]=>[15,1,2,14,13,4,6,3,8,12,5,10,11,7,9]
[14,9,15,5,10,11,4,6,7,12,1,2,3,8,13]=>[12,1,2,11,15,4,6,3,14,5,10,7,8,9,13]
[11,9,12,5,10,13,4,6,7,14,1,2,3,8,15]=>[14,1,2,13,12,4,6,3,11,5,9,10,7,8,15]
[12,7,13,5,8,14,4,6,9,15,1,2,3,10,11]=>[15,1,2,14,13,4,12,5,6,3,10,7,8,9,11]
[11,7,12,5,8,13,4,6,9,14,1,2,3,10,15]=>[14,1,2,13,12,4,11,5,6,3,7,8,9,10,15]
[15,12,13,8,9,14,3,4,10,11,1,2,5,6,7]=>[11,1,14,3,2,5,6,13,8,4,10,15,12,9,7]
[13,12,14,8,9,15,3,4,10,11,1,2,5,6,7]=>[11,1,15,3,2,5,6,14,8,4,10,13,12,9,7]
[15,11,12,8,9,13,3,4,10,14,1,2,5,6,7]=>[14,1,13,3,2,5,6,12,8,4,15,11,9,10,7]
[12,11,13,8,9,14,3,4,10,15,1,2,5,6,7]=>[15,1,14,3,2,5,6,13,8,4,12,11,9,10,7]
[13,9,14,8,10,15,3,4,11,12,1,2,5,6,7]=>[12,1,15,3,2,5,6,14,13,8,4,11,9,10,7]
[12,9,13,8,10,14,3,4,11,15,1,2,5,6,7]=>[15,1,14,3,2,5,6,13,12,8,4,9,10,11,7]
[15,12,13,7,8,14,3,4,9,10,1,2,5,6,11]=>[10,1,14,3,2,5,13,7,4,9,6,15,12,8,11]
[13,12,14,7,8,15,3,4,9,10,1,2,5,6,11]=>[10,1,15,3,2,5,14,7,4,9,6,13,12,8,11]
[15,10,11,7,8,12,3,4,9,13,1,2,5,6,14]=>[13,1,12,3,2,5,11,7,4,15,10,8,9,6,14]
[11,10,12,7,8,13,3,4,9,14,1,2,5,6,15]=>[14,1,13,3,2,5,12,7,4,11,10,8,9,6,15]
[13,8,14,7,9,15,3,4,10,11,1,2,5,6,12]=>[11,1,15,3,2,5,14,13,7,4,10,6,8,9,12]
[11,8,12,7,9,13,3,4,10,14,1,2,5,6,15]=>[14,1,13,3,2,5,12,11,7,4,8,9,10,6,15]
[15,11,12,6,7,13,3,4,8,14,1,2,5,9,10]=>[14,1,13,3,2,12,6,4,5,9,15,11,7,8,10]
[12,11,13,6,7,14,3,4,8,15,1,2,5,9,10]=>[15,1,14,3,2,13,6,4,5,9,12,11,7,8,10]
[11,10,12,6,7,13,3,4,8,14,1,2,5,9,15]=>[14,1,13,3,2,12,6,4,5,11,10,7,8,9,15]
[12,7,13,6,8,14,3,4,9,15,1,2,5,10,11]=>[15,1,14,3,2,13,12,6,4,5,10,7,8,9,11]
[11,7,12,6,8,13,3,4,9,14,1,2,5,10,15]=>[14,1,13,3,2,12,11,6,4,5,7,8,9,10,15]
[13,9,14,4,10,15,3,5,11,12,1,2,6,7,8]=>[12,1,15,14,3,2,6,7,13,4,5,11,9,10,8]
[12,9,13,4,10,14,3,5,11,15,1,2,6,7,8]=>[15,1,14,13,3,2,6,7,12,4,5,9,10,11,8]
[13,8,14,4,9,15,3,5,10,11,1,2,6,7,12]=>[11,1,15,14,3,2,6,13,4,5,10,7,8,9,12]
[11,8,12,4,9,13,3,5,10,14,1,2,6,7,15]=>[14,1,13,12,3,2,6,11,4,5,8,9,10,7,15]
[12,7,13,4,8,14,3,5,9,15,1,2,6,10,11]=>[15,1,14,13,3,2,12,4,5,6,10,7,8,9,11]
[11,7,12,4,8,13,3,5,9,14,1,2,6,10,15]=>[14,1,13,12,3,2,11,4,5,6,7,8,9,10,15]
[14,11,15,7,12,13,2,8,9,10,1,3,4,5,6]=>[10,13,1,3,4,5,15,2,8,9,14,7,12,11,6]
[13,11,14,7,12,15,2,8,9,10,1,3,4,5,6]=>[10,15,1,3,4,5,14,2,8,9,13,7,11,12,6]
[14,10,15,7,11,12,2,8,9,13,1,3,4,5,6]=>[13,12,1,3,4,5,15,2,8,14,7,11,9,10,6]
[12,10,13,7,11,14,2,8,9,15,1,3,4,5,6]=>[15,14,1,3,4,5,13,2,8,12,7,10,11,9,6]
[13,9,14,7,10,15,2,8,11,12,1,3,4,5,6]=>[12,15,1,3,4,5,14,2,13,7,8,11,9,10,6]
[12,9,13,7,10,14,2,8,11,15,1,3,4,5,6]=>[15,14,1,3,4,5,13,2,12,7,8,9,10,11,6]
[14,11,15,6,12,13,2,7,8,9,1,3,4,5,10]=>[9,13,1,3,4,15,2,7,8,5,14,6,12,11,10]
[13,11,14,6,12,15,2,7,8,9,1,3,4,5,10]=>[9,15,1,3,4,14,2,7,8,5,13,6,11,12,10]
[14,9,15,6,10,11,2,7,8,12,1,3,4,5,13]=>[12,11,1,3,4,15,2,7,14,6,10,8,5,9,13]
[11,9,12,6,10,13,2,7,8,14,1,3,4,5,15]=>[14,13,1,3,4,12,2,7,11,6,9,10,8,5,15]
[13,8,14,6,9,15,2,7,10,11,1,3,4,5,12]=>[11,15,1,3,4,14,2,13,6,7,10,5,8,9,12]
[11,8,12,6,9,13,2,7,10,14,1,3,4,5,15]=>[14,13,1,3,4,12,2,11,6,7,8,9,10,5,15]
[14,10,15,5,11,12,2,6,7,13,1,3,4,8,9]=>[13,12,1,3,15,2,6,4,8,14,5,11,7,10,9]
[12,10,13,5,11,14,2,6,7,15,1,3,4,8,9]=>[15,14,1,3,13,2,6,4,8,12,5,10,11,7,9]
[14,9,15,5,10,11,2,6,7,12,1,3,4,8,13]=>[12,11,1,3,15,2,6,4,14,5,10,7,8,9,13]
[11,9,12,5,10,13,2,6,7,14,1,3,4,8,15]=>[14,13,1,3,12,2,6,4,11,5,9,10,7,8,15]
[12,7,13,5,8,14,2,6,9,15,1,3,4,10,11]=>[15,14,1,3,13,2,12,5,6,4,10,7,8,9,11]
[11,7,12,5,8,13,2,6,9,14,1,3,4,10,15]=>[14,13,1,3,12,2,11,5,6,4,7,8,9,10,15]
[13,9,14,4,10,15,2,5,11,12,1,3,6,7,8]=>[12,15,1,14,2,3,6,7,13,4,5,11,9,10,8]
[12,9,13,4,10,14,2,5,11,15,1,3,6,7,8]=>[15,14,1,13,2,3,6,7,12,4,5,9,10,11,8]
[13,8,14,4,9,15,2,5,10,11,1,3,6,7,12]=>[11,15,1,14,2,3,6,13,4,5,10,7,8,9,12]
[11,8,12,4,9,13,2,5,10,14,1,3,6,7,15]=>[14,13,1,12,2,3,6,11,4,5,8,9,10,7,15]
[12,7,13,4,8,14,2,5,9,15,1,3,6,10,11]=>[15,14,1,13,2,3,12,4,5,6,10,7,8,9,11]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15]=>[2,3,4,5,6,7,8,9,10,11,12,13,14,1,16,15]
[2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,13,14,15,16,3]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1,16,15]=>[2,3,4,5,8,7,9,10,1,11,12,13,14,6,16,15]
[2,1,16,15,14,13,12,9,8,11,10,7,6,5,4,3]=>[2,1,4,5,6,7,10,9,11,12,3,13,14,15,16,8]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1,16,15]=>[2,3,4,9,6,7,8,10,11,1,12,13,14,5,16,15]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1,16,15]=>[2,3,4,7,6,8,9,10,11,1,12,13,14,5,16,15]
[2,1,16,15,14,13,10,9,8,7,12,11,6,5,4,3]=>[2,1,4,5,6,11,8,9,10,12,13,3,14,15,16,7]
[2,1,16,15,14,13,8,7,12,11,10,9,6,5,4,3]=>[2,1,4,5,6,9,8,10,11,12,13,3,14,15,16,7]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1,16,15]=>[2,3,10,5,6,7,8,9,11,12,1,13,14,4,16,15]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1,16,15]=>[2,3,4,9,6,10,8,1,11,7,12,13,14,5,16,15]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1,16,15]=>[2,3,6,5,7,8,9,10,11,12,1,13,14,4,16,15]
[2,1,16,15,14,11,10,9,8,7,6,13,12,5,4,3]=>[2,1,4,5,12,7,8,9,10,11,13,14,3,15,16,6]
[2,1,16,15,14,13,8,7,10,9,12,11,6,5,4,3]=>[2,1,4,5,6,11,8,12,10,3,13,9,14,15,16,7]
[2,1,16,15,14,7,6,13,12,11,10,9,8,5,4,3]=>[2,1,4,5,8,7,9,10,11,12,13,14,3,15,16,6]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15]=>[2,3,4,5,6,7,14,8,9,10,11,12,13,1,16,15]
[2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,16,10,11,12,13,14,15,3]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1,16,15]=>[2,3,4,5,8,14,7,13,9,10,11,12,1,6,16,15]
[2,1,9,11,12,13,14,15,8,16,10,7,6,5,4,3]=>[2,1,4,5,6,7,10,16,9,15,11,12,13,14,3,8]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1,16,15]=>[2,3,4,9,6,14,7,8,13,10,11,12,1,5,16,15]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1,16,15]=>[2,3,4,7,8,6,14,12,9,10,11,5,13,1,16,15]
[2,1,9,10,12,13,14,15,8,7,16,11,6,5,4,3]=>[2,1,4,5,6,11,8,16,9,10,15,12,13,14,3,7]
[2,1,8,11,12,13,14,7,15,16,10,9,6,5,4,3]=>[2,1,4,5,6,9,10,8,16,14,11,12,13,7,15,3]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1,16,15]=>[2,3,10,5,6,14,7,8,9,13,11,12,1,4,16,15]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1,16,15]=>[2,3,4,9,14,6,12,8,13,10,11,7,1,5,16,15]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1,16,15]=>[2,3,6,7,5,8,14,11,9,10,1,12,13,4,16,15]
[2,1,9,10,11,13,14,15,8,7,6,16,12,5,4,3]=>[2,1,4,5,12,7,8,16,9,10,11,15,13,14,3,6]
[2,1,8,10,12,13,14,7,15,9,16,11,6,5,4,3]=>[2,1,4,5,6,11,16,8,14,10,15,12,13,9,3,7]
[2,1,7,11,12,13,6,14,15,16,10,9,8,5,4,3]=>[2,1,4,5,8,9,7,10,16,13,11,12,3,14,15,6]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15]
[2,1,4,3,6,5,8,7,10,9,12,11,16,15,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,15,16,13]
[2,1,4,3,6,5,8,7,10,9,16,13,12,15,14,11]=>[2,1,4,3,6,5,8,7,10,9,14,13,15,16,11,12]
[2,1,4,3,6,5,8,7,16,11,10,13,12,15,14,9]=>[2,1,4,3,6,5,8,7,14,11,15,13,9,16,12,10]
[2,1,4,3,6,5,16,9,8,11,10,13,12,15,14,7]=>[2,1,4,3,6,5,14,9,15,11,7,13,10,16,12,8]
[2,1,4,3,16,7,6,9,8,11,10,13,12,15,14,5]=>[2,1,4,3,14,7,15,9,5,11,8,13,10,16,12,6]
[2,1,16,5,4,7,6,9,8,11,10,13,12,15,14,3]=>[2,1,14,5,15,7,3,9,6,11,8,13,10,16,12,4]
[16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1]=>[14,3,15,5,1,7,4,9,6,11,8,13,10,16,12,2]
[2,1,4,3,6,5,8,7,10,9,16,15,14,13,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,13,14,15,16,11]
[2,1,4,3,6,5,8,7,16,13,12,11,10,15,14,9]=>[2,1,4,3,6,5,8,7,14,11,12,13,15,16,9,10]
[2,1,4,3,6,5,16,11,10,9,8,13,12,15,14,7]=>[2,1,4,3,6,5,14,9,10,11,15,13,7,16,12,8]
[2,1,4,3,16,9,8,7,6,11,10,13,12,15,14,5]=>[2,1,4,3,14,7,8,9,15,11,5,13,10,16,12,6]
[2,1,16,7,6,5,4,9,8,11,10,13,12,15,14,3]=>[2,1,14,5,6,7,15,9,3,11,8,13,10,16,12,4]
[16,5,4,3,2,7,6,9,8,11,10,13,12,15,14,1]=>[14,3,4,5,15,7,1,9,6,11,8,13,10,16,12,2]
[2,1,4,3,6,5,8,7,16,15,12,11,14,13,10,9]=>[2,1,4,3,6,5,8,7,10,13,12,14,15,9,16,11]
[2,1,4,3,6,5,16,13,10,9,12,11,8,15,14,7]=>[2,1,4,3,6,5,14,11,10,12,13,7,15,16,9,8]
[2,1,4,3,6,5,8,7,16,15,14,13,12,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,12,13,14,15,16,9]
[2,1,4,3,16,11,8,7,10,9,6,13,12,15,14,5]=>[2,1,4,3,14,9,8,10,11,5,15,13,7,16,12,6]
[2,1,4,3,6,5,16,13,12,11,10,9,8,15,14,7]=>[2,1,4,3,6,5,14,9,10,11,12,13,15,16,7,8]
[2,1,16,9,6,5,8,7,4,11,10,13,12,15,14,3]=>[2,1,14,7,6,8,9,3,15,11,5,13,10,16,12,4]
[2,1,4,3,16,11,10,9,8,7,6,13,12,15,14,5]=>[2,1,4,3,14,7,8,9,10,11,15,13,5,16,12,6]
[16,7,4,3,6,5,2,9,8,11,10,13,12,15,14,1]=>[14,5,4,6,7,1,15,9,3,11,8,13,10,16,12,2]
[2,1,16,9,8,7,6,5,4,11,10,13,12,15,14,3]=>[2,1,14,5,6,7,8,9,15,11,3,13,10,16,12,4]
[16,7,6,5,4,3,2,9,8,11,10,13,12,15,14,1]=>[14,3,4,5,6,7,15,9,1,11,8,13,10,16,12,2]
[2,4,6,8,10,12,14,16,1,3,5,7,9,11,13,15]=>[16,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15]
[2,4,6,8,10,12,15,16,1,3,5,7,9,11,13,14]=>[16,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14]
[2,4,6,8,10,13,15,16,1,3,5,7,9,11,12,14]=>[16,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14]
[2,4,6,8,11,13,15,16,1,3,5,7,9,10,12,14]=>[16,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14]
[2,4,6,9,11,13,15,16,1,3,5,7,8,10,12,14]=>[16,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14]
[2,4,7,9,11,13,15,16,1,3,5,6,8,10,12,14]=>[16,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14]
[2,5,7,9,11,13,15,16,1,3,4,6,8,10,12,14]=>[16,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14]
[3,5,7,9,11,13,15,16,1,2,4,6,8,10,12,14]=>[16,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14]
[2,4,6,8,10,14,15,16,1,3,5,7,9,11,12,13]=>[16,2,1,4,3,6,5,8,7,10,9,11,12,14,15,13]
[2,4,6,8,12,13,15,16,1,3,5,7,9,10,11,14]=>[16,2,1,4,3,6,5,8,7,9,10,12,13,11,15,14]
[2,4,6,10,11,13,15,16,1,3,5,7,8,9,12,14]=>[16,2,1,4,3,6,5,7,8,10,11,9,13,12,15,14]
[2,4,8,9,11,13,15,16,1,3,5,6,7,10,12,14]=>[16,2,1,4,3,5,6,8,9,7,11,10,13,12,15,14]
[2,6,7,9,11,13,15,16,1,3,4,5,8,10,12,14]=>[16,2,1,3,4,6,7,5,9,8,11,10,13,12,15,14]
[4,5,7,9,11,13,15,16,1,2,3,6,8,10,12,14]=>[16,1,2,4,5,3,7,6,9,8,11,10,13,12,15,14]
[2,4,6,8,12,14,15,16,1,3,5,7,9,10,11,13]=>[16,2,1,4,3,6,5,8,7,9,10,12,11,14,15,13]
[2,4,6,10,12,13,15,16,1,3,5,7,8,9,11,14]=>[16,2,1,4,3,6,5,7,8,10,9,12,13,11,15,14]
[2,4,6,8,13,14,15,16,1,3,5,7,9,10,11,12]=>[16,2,1,4,3,6,5,8,7,9,10,11,13,14,15,12]
[2,4,8,10,11,13,15,16,1,3,5,6,7,9,12,14]=>[16,2,1,4,3,5,6,8,7,10,11,9,13,12,15,14]
[2,4,6,11,12,13,15,16,1,3,5,7,8,9,10,14]=>[16,2,1,4,3,6,5,7,8,9,11,12,13,10,15,14]
[2,6,8,9,11,13,15,16,1,3,4,5,7,10,12,14]=>[16,2,1,3,4,6,5,8,9,7,11,10,13,12,15,14]
[2,4,9,10,11,13,15,16,1,3,5,6,7,8,12,14]=>[16,2,1,4,3,5,6,7,9,10,11,8,13,12,15,14]
[4,6,7,9,11,13,15,16,1,2,3,5,8,10,12,14]=>[16,1,2,4,3,6,7,5,9,8,11,10,13,12,15,14]
[2,7,8,9,11,13,15,16,1,3,4,5,6,10,12,14]=>[16,2,1,3,4,5,7,8,9,6,11,10,13,12,15,14]
[5,6,7,9,11,13,15,16,1,2,3,4,8,10,12,14]=>[16,1,2,3,5,6,7,4,9,8,11,10,13,12,15,14]
[8,9,10,11,12,13,14,16,1,2,3,4,5,6,7,15]=>[16,1,2,3,4,5,6,8,9,10,11,12,13,14,7,15]
[2,10,11,12,13,14,15,16,1,3,4,5,6,7,8,9]=>[16,2,1,3,4,5,6,7,8,10,11,12,13,14,15,9]
[7,9,10,11,12,13,14,16,1,2,3,4,5,6,8,15]=>[16,1,2,3,4,5,7,6,9,10,11,12,13,14,8,15]
[2,9,11,12,13,14,15,16,1,3,4,5,6,7,8,10]=>[16,2,1,3,4,5,6,7,9,8,11,12,13,14,15,10]
[7,8,10,11,12,13,14,16,1,2,3,4,5,6,9,15]=>[16,1,2,3,4,5,7,8,6,10,11,12,13,14,9,15]
[6,9,10,11,12,13,14,16,1,2,3,4,5,7,8,15]=>[16,1,2,3,4,6,5,7,9,10,11,12,13,14,8,15]
[2,9,10,12,13,14,15,16,1,3,4,5,6,7,8,11]=>[16,2,1,3,4,5,6,7,9,10,8,12,13,14,15,11]
[2,8,11,12,13,14,15,16,1,3,4,5,6,7,9,10]=>[16,2,1,3,4,5,6,8,7,9,11,12,13,14,15,10]
[7,8,9,11,12,13,14,16,1,2,3,4,5,6,10,15]=>[16,1,2,3,4,5,7,8,9,6,11,12,13,14,10,15]
[6,8,10,11,12,13,14,16,1,2,3,4,5,7,9,15]=>[16,1,2,3,4,6,5,8,7,10,11,12,13,14,9,15]
[5,9,10,11,12,13,14,16,1,2,3,4,6,7,8,15]=>[16,1,2,3,5,4,6,7,9,10,11,12,13,14,8,15]
[2,9,10,11,13,14,15,16,1,3,4,5,6,7,8,12]=>[16,2,1,3,4,5,6,7,9,10,11,8,13,14,15,12]
[2,8,10,12,13,14,15,16,1,3,4,5,6,7,9,11]=>[16,2,1,3,4,5,6,8,7,10,9,12,13,14,15,11]
[2,7,11,12,13,14,15,16,1,3,4,5,6,8,9,10]=>[16,2,1,3,4,5,7,6,8,9,11,12,13,14,15,10]
[2,1,4,3,6,5,8,7,10,9,12,11,15,16,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,16,15,13]
[2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11]=>[2,1,4,3,6,5,8,7,10,9,14,16,13,15,11,12]
[2,1,4,3,6,5,8,7,11,13,10,15,12,16,14,9]=>[2,1,4,3,6,5,8,7,14,13,11,16,10,15,9,12]
[2,1,4,3,6,5,9,11,8,13,10,15,12,16,14,7]=>[2,1,4,3,6,5,14,11,9,13,8,16,10,15,7,12]
[2,1,4,3,7,9,6,11,8,13,10,15,12,16,14,5]=>[2,1,4,3,14,9,7,11,6,13,8,16,10,15,5,12]
[2,1,5,7,4,9,6,11,8,13,10,15,12,16,14,3]=>[2,1,14,7,5,9,4,11,6,13,8,16,10,15,3,12]
[3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1]=>[14,5,3,7,2,9,4,11,6,13,8,16,10,15,1,12]
[2,1,4,3,6,5,8,7,10,9,14,15,16,13,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,13,16,14,15,11]
[2,1,4,3,6,5,8,7,12,13,15,11,10,16,14,9]=>[2,1,4,3,6,5,8,7,14,11,16,12,13,15,9,10]
[2,1,4,3,6,5,10,11,13,9,8,15,12,16,14,7]=>[2,1,4,3,6,5,14,9,13,10,11,16,8,15,7,12]
[2,1,4,3,8,9,11,7,6,13,10,15,12,16,14,5]=>[2,1,4,3,14,7,11,8,9,13,6,16,10,15,5,12]
[2,1,6,7,9,5,4,11,8,13,10,15,12,16,14,3]=>[2,1,14,5,9,6,7,11,4,13,8,16,10,15,3,12]
[4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1]=>[14,3,7,4,5,9,2,11,6,13,8,16,10,15,1,12]
[2,1,4,3,6,5,8,7,12,14,15,11,16,13,10,9]=>[2,1,4,3,6,5,8,7,10,13,16,12,15,14,9,11]
[2,1,4,3,6,5,10,12,13,9,15,11,8,16,14,7]=>[2,1,4,3,6,5,14,11,16,10,13,12,8,15,7,9]
[2,1,4,3,6,5,8,7,13,14,15,16,12,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,12,16,13,14,15,9]
[2,1,4,3,8,10,11,7,13,9,6,15,12,16,14,5]=>[2,1,4,3,14,9,13,8,11,10,6,16,7,15,5,12]
[2,1,4,3,6,5,11,12,13,15,10,9,8,16,14,7]=>[2,1,4,3,6,5,14,9,10,16,11,12,13,15,7,8]
[2,1,6,8,9,5,11,7,4,13,10,15,12,16,14,3]=>[2,1,14,7,11,6,9,8,4,13,5,16,10,15,3,12]
[2,1,4,3,9,10,11,13,8,7,6,15,12,16,14,5]=>[2,1,4,3,14,7,8,13,9,10,11,16,6,15,5,12]
[4,6,7,3,9,5,2,11,8,13,10,15,12,16,14,1]=>[14,5,9,4,7,6,2,11,3,13,8,16,10,15,1,12]
[2,1,7,8,9,11,6,5,4,13,10,15,12,16,14,3]=>[2,1,14,5,6,11,7,8,9,13,4,16,10,15,3,12]
[5,6,7,9,4,3,2,11,8,13,10,15,12,16,14,1]=>[14,3,4,9,5,6,7,11,2,13,8,16,10,15,1,12]
[16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17]=>[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,18,17]
[2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,3]
[16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,18,17]=>[2,3,4,5,6,9,8,10,11,1,12,13,14,15,16,7,18,17]
[2,1,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,11,10,12,13,3,14,15,16,17,18,9]
[16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,18,17]=>[2,3,4,5,10,7,8,9,11,12,1,13,14,15,16,6,18,17]
[16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,18,17]=>[2,3,4,5,8,7,9,10,11,12,1,13,14,15,16,6,18,17]
[2,1,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3]=>[2,1,4,5,6,7,12,9,10,11,13,14,3,15,16,17,18,8]
[2,1,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3]=>[2,1,4,5,6,7,10,9,11,12,13,14,3,15,16,17,18,8]
[9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17]=>[2,3,4,5,6,7,8,16,9,10,11,12,13,14,15,1,18,17]
[2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,18,11,12,13,14,15,16,17,3]
[8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1,18,17]=>[2,3,4,5,6,9,16,8,15,10,11,12,13,14,1,7,18,17]
[2,1,10,12,13,14,15,16,17,9,18,11,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,11,18,10,17,12,13,14,15,16,3,9]
[8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1,18,17]=>[2,3,4,5,10,7,16,8,9,15,11,12,13,14,1,6,18,17]
[7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1,18,17]=>[2,3,4,5,8,9,7,16,14,10,11,12,13,6,15,1,18,17]
[2,1,10,11,13,14,15,16,17,9,8,18,12,7,6,5,4,3]=>[2,1,4,5,6,7,12,9,18,10,11,17,13,14,15,16,3,8]
[2,1,9,12,13,14,15,16,8,17,18,11,10,7,6,5,4,3]=>[2,1,4,5,6,7,10,11,9,18,16,12,13,14,15,8,17,3]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,17,16,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,17,18,15]
[2,1,4,3,6,5,8,7,10,9,12,11,18,15,14,17,16,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,16,15,17,18,13,14]
[2,1,4,3,6,5,8,7,10,9,18,13,12,15,14,17,16,11]=>[2,1,4,3,6,5,8,7,10,9,16,13,17,15,11,18,14,12]
[2,1,4,3,6,5,8,7,18,11,10,13,12,15,14,17,16,9]=>[2,1,4,3,6,5,8,7,16,11,17,13,9,15,12,18,14,10]
[2,1,4,3,6,5,18,9,8,11,10,13,12,15,14,17,16,7]=>[2,1,4,3,6,5,16,9,17,11,7,13,10,15,12,18,14,8]
[2,1,4,3,18,7,6,9,8,11,10,13,12,15,14,17,16,5]=>[2,1,4,3,16,7,17,9,5,11,8,13,10,15,12,18,14,6]
[2,1,18,5,4,7,6,9,8,11,10,13,12,15,14,17,16,3]=>[2,1,16,5,17,7,3,9,6,11,8,13,10,15,12,18,14,4]
[18,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1]=>[16,3,17,5,1,7,4,9,6,11,8,13,10,15,12,18,14,2]
[2,1,4,3,6,5,8,7,10,9,12,11,18,17,16,15,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,15,16,17,18,13]
[2,1,4,3,6,5,8,7,10,9,18,15,14,13,12,17,16,11]=>[2,1,4,3,6,5,8,7,10,9,16,13,14,15,17,18,11,12]
[2,1,4,3,6,5,8,7,18,13,12,11,10,15,14,17,16,9]=>[2,1,4,3,6,5,8,7,16,11,12,13,17,15,9,18,14,10]
[2,1,4,3,6,5,18,11,10,9,8,13,12,15,14,17,16,7]=>[2,1,4,3,6,5,16,9,10,11,17,13,7,15,12,18,14,8]
[2,1,4,3,18,9,8,7,6,11,10,13,12,15,14,17,16,5]=>[2,1,4,3,16,7,8,9,17,11,5,13,10,15,12,18,14,6]
[2,1,18,7,6,5,4,9,8,11,10,13,12,15,14,17,16,3]=>[2,1,16,5,6,7,17,9,3,11,8,13,10,15,12,18,14,4]
[18,5,4,3,2,7,6,9,8,11,10,13,12,15,14,17,16,1]=>[16,3,4,5,17,7,1,9,6,11,8,13,10,15,12,18,14,2]
[2,4,6,8,10,12,14,16,18,1,3,5,7,9,11,13,15,17]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17]
[2,4,6,8,10,12,14,17,18,1,3,5,7,9,11,13,15,16]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15,17,16]
[2,4,6,8,10,12,15,17,18,1,3,5,7,9,11,13,14,16]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14,17,16]
[2,4,6,8,10,13,15,17,18,1,3,5,7,9,11,12,14,16]=>[18,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14,17,16]
[2,4,6,8,11,13,15,17,18,1,3,5,7,9,10,12,14,16]=>[18,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14,17,16]
[2,4,6,9,11,13,15,17,18,1,3,5,7,8,10,12,14,16]=>[18,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14,17,16]
[2,4,7,9,11,13,15,17,18,1,3,5,6,8,10,12,14,16]=>[18,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14,17,16]
[2,5,7,9,11,13,15,17,18,1,3,4,6,8,10,12,14,16]=>[18,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14,17,16]
[3,5,7,9,11,13,15,17,18,1,2,4,6,8,10,12,14,16]=>[18,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16]
[2,4,6,8,10,12,16,17,18,1,3,5,7,9,11,13,14,15]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,13,14,16,17,15]
[2,4,6,8,10,14,15,17,18,1,3,5,7,9,11,12,13,16]=>[18,2,1,4,3,6,5,8,7,10,9,11,12,14,15,13,17,16]
[2,4,6,8,12,13,15,17,18,1,3,5,7,9,10,11,14,16]=>[18,2,1,4,3,6,5,8,7,9,10,12,13,11,15,14,17,16]
[2,4,6,10,11,13,15,17,18,1,3,5,7,8,9,12,14,16]=>[18,2,1,4,3,6,5,7,8,10,11,9,13,12,15,14,17,16]
[2,4,8,9,11,13,15,17,18,1,3,5,6,7,10,12,14,16]=>[18,2,1,4,3,5,6,8,9,7,11,10,13,12,15,14,17,16]
[2,6,7,9,11,13,15,17,18,1,3,4,5,8,10,12,14,16]=>[18,2,1,3,4,6,7,5,9,8,11,10,13,12,15,14,17,16]
[4,5,7,9,11,13,15,17,18,1,2,3,6,8,10,12,14,16]=>[18,1,2,4,5,3,7,6,9,8,11,10,13,12,15,14,17,16]
[9,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,8,17]=>[18,1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,8,17]
[2,11,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,10]=>[18,2,1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,10]
[8,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,9,17]=>[18,1,2,3,4,5,6,8,7,10,11,12,13,14,15,16,9,17]
[2,10,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,11]=>[18,2,1,3,4,5,6,7,8,10,9,12,13,14,15,16,17,11]
[8,9,11,12,13,14,15,16,18,1,2,3,4,5,6,7,10,17]=>[18,1,2,3,4,5,6,8,9,7,11,12,13,14,15,16,10,17]
[7,10,11,12,13,14,15,16,18,1,2,3,4,5,6,8,9,17]=>[18,1,2,3,4,5,7,6,8,10,11,12,13,14,15,16,9,17]
[2,10,11,13,14,15,16,17,18,1,3,4,5,6,7,8,9,12]=>[18,2,1,3,4,5,6,7,8,10,11,9,13,14,15,16,17,12]
[2,9,12,13,14,15,16,17,18,1,3,4,5,6,7,8,10,11]=>[18,2,1,3,4,5,6,7,9,8,10,12,13,14,15,16,17,11]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,18,16,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,18,17,15]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,18,16,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,16,18,15,17,13,14]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11]=>[2,1,4,3,6,5,8,7,10,9,16,15,13,18,12,17,11,14]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,18,16,9]=>[2,1,4,3,6,5,8,7,16,13,11,15,10,18,12,17,9,14]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,18,16,7]=>[2,1,4,3,6,5,16,11,9,13,8,15,10,18,12,17,7,14]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,18,16,5]=>[2,1,4,3,16,9,7,11,6,13,8,15,10,18,12,17,5,14]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,18,16,3]=>[2,1,16,7,5,9,4,11,6,13,8,15,10,18,12,17,3,14]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1]=>[16,5,3,7,2,9,4,11,6,13,8,15,10,18,12,17,1,14]
[2,1,4,3,6,5,8,7,10,9,12,11,16,17,18,15,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,15,18,16,17,13]
[2,1,4,3,6,5,8,7,10,9,14,15,17,13,12,18,16,11]=>[2,1,4,3,6,5,8,7,10,9,16,13,18,14,15,17,11,12]
[2,1,4,3,6,5,8,7,12,13,15,11,10,17,14,18,16,9]=>[2,1,4,3,6,5,8,7,16,11,15,12,13,18,10,17,9,14]
[2,1,4,3,6,5,10,11,13,9,8,15,12,17,14,18,16,7]=>[2,1,4,3,6,5,16,9,13,10,11,15,8,18,12,17,7,14]
[2,1,4,3,8,9,11,7,6,13,10,15,12,17,14,18,16,5]=>[2,1,4,3,16,7,11,8,9,13,6,15,10,18,12,17,5,14]
[2,1,6,7,9,5,4,11,8,13,10,15,12,17,14,18,16,3]=>[2,1,16,5,9,6,7,11,4,13,8,15,10,18,12,17,3,14]
[4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,18,16,1]=>[16,3,7,4,5,9,2,11,6,13,8,15,10,18,12,17,1,14]
[18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19]=>[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,20,19]
[2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,3]
[18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,20,19]=>[2,3,4,5,6,7,10,9,11,12,1,13,14,15,16,17,18,8,20,19]
[2,1,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,12,11,13,14,3,15,16,17,18,19,20,10]
[10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1,20,19]=>[2,3,4,5,6,7,8,9,18,10,11,12,13,14,15,16,17,1,20,19]
[2,1,12,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,20,12,13,14,15,16,17,18,19,3]
[9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1,20,19]=>[2,3,4,5,6,7,10,18,9,17,11,12,13,14,15,16,1,8,20,19]
[2,1,11,13,14,15,16,17,18,19,10,20,12,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,12,20,11,19,13,14,15,16,17,18,3,10]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,20,19,18,17]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,19,20,17]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,20,17,16,19,18,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,17,19,20,15,16]
[2,1,4,3,6,5,8,7,10,9,12,11,20,15,14,17,16,19,18,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,18,15,19,17,13,20,16,14]
[2,1,4,3,6,5,8,7,10,9,20,13,12,15,14,17,16,19,18,11]=>[2,1,4,3,6,5,8,7,10,9,18,13,19,15,11,17,14,20,16,12]
[2,1,4,3,6,5,8,7,20,11,10,13,12,15,14,17,16,19,18,9]=>[2,1,4,3,6,5,8,7,18,11,19,13,9,15,12,17,14,20,16,10]
[2,1,4,3,6,5,20,9,8,11,10,13,12,15,14,17,16,19,18,7]=>[2,1,4,3,6,5,18,9,19,11,7,13,10,15,12,17,14,20,16,8]
[2,1,4,3,20,7,6,9,8,11,10,13,12,15,14,17,16,19,18,5]=>[2,1,4,3,18,7,19,9,5,11,8,13,10,15,12,17,14,20,16,6]
[2,1,20,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,3]=>[2,1,18,5,19,7,3,9,6,11,8,13,10,15,12,17,14,20,16,4]
[20,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1]=>[18,3,19,5,1,7,4,9,6,11,8,13,10,15,12,17,14,20,16,2]
[2,4,6,8,10,12,14,16,18,20,1,3,5,7,9,11,13,15,17,19]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,19]
[2,4,6,8,10,12,14,16,19,20,1,3,5,7,9,11,13,15,17,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17,19,18]
[2,4,6,8,10,12,14,17,19,20,1,3,5,7,9,11,13,15,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15,17,16,19,18]
[2,4,6,8,10,12,15,17,19,20,1,3,5,7,9,11,13,14,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14,17,16,19,18]
[2,4,6,8,10,13,15,17,19,20,1,3,5,7,9,11,12,14,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14,17,16,19,18]
[2,4,6,8,11,13,15,17,19,20,1,3,5,7,9,10,12,14,16,18]=>[20,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14,17,16,19,18]
[2,4,6,9,11,13,15,17,19,20,1,3,5,7,8,10,12,14,16,18]=>[20,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14,17,16,19,18]
[2,4,7,9,11,13,15,17,19,20,1,3,5,6,8,10,12,14,16,18]=>[20,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[2,5,7,9,11,13,15,17,19,20,1,3,4,6,8,10,12,14,16,18]=>[20,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[3,5,7,9,11,13,15,17,19,20,1,2,4,6,8,10,12,14,16,18]=>[20,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[10,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,9,19]=>[20,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,9,19]
[2,12,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,11]=>[20,2,1,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,11]
[9,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,10,19]=>[20,1,2,3,4,5,6,7,9,8,11,12,13,14,15,16,17,18,10,19]
[2,11,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,12]=>[20,2,1,3,4,5,6,7,8,9,11,10,13,14,15,16,17,18,19,12]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,20,19,17]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,20,17,19,15,16]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,19,16,20,18,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,18,17,15,20,14,19,13,16]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,19,16,20,18,11]=>[2,1,4,3,6,5,8,7,10,9,18,15,13,17,12,20,14,19,11,16]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,19,16,20,18,9]=>[2,1,4,3,6,5,8,7,18,13,11,15,10,17,12,20,14,19,9,16]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,19,16,20,18,7]=>[2,1,4,3,6,5,18,11,9,13,8,15,10,17,12,20,14,19,7,16]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,19,16,20,18,5]=>[2,1,4,3,18,9,7,11,6,13,8,15,10,17,12,20,14,19,5,16]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,3]=>[2,1,18,7,5,9,4,11,6,13,8,15,10,17,12,20,14,19,3,16]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1]=>[18,5,3,7,2,9,4,11,6,13,8,15,10,17,12,20,14,19,1,16]
[21,19,20,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,18,12,13,14,20,16,17,21,19,6]
[20,19,21,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,18,12,13,14,21,16,17,20,19,6]
[21,18,19,16,17,20,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,20,12,13,14,19,16,21,18,17,6]
[20,18,21,16,17,19,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,19,12,13,14,21,16,20,17,18,6]
[19,18,20,16,17,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,21,12,13,14,20,16,19,18,17,6]
[21,19,20,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,17,12,13,20,15,16,14,21,19,6]
[20,19,21,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,17,12,13,21,15,16,14,20,19,6]
[21,18,19,15,16,20,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,20,12,13,19,15,14,21,18,16,6]
[20,18,21,15,16,19,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,19,12,13,21,15,14,20,16,18,6]
[19,18,20,15,16,21,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,21,12,13,20,15,14,19,18,16,6]
[21,17,18,15,16,19,12,13,14,20,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,20,7,8,9,10,19,12,13,18,15,21,17,16,14,6]
[20,17,21,15,16,18,12,13,14,19,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,19,7,8,9,10,18,12,13,21,15,20,16,14,17,6]
[19,17,20,15,16,21,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,21,12,13,20,15,19,14,17,16,6]
[18,17,19,15,16,20,12,13,14,21,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,21,7,8,9,10,20,12,13,19,15,18,17,16,14,6]
[21,19,20,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,18,11,12,13,10,20,16,17,21,19,6]
[20,19,21,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,18,11,12,13,10,21,16,17,20,19,6]
[21,18,19,16,17,20,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,20,11,12,13,10,19,16,21,18,17,6]
[20,18,21,16,17,19,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,19,11,12,13,10,21,16,20,17,18,6]
[19,18,20,16,17,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,21,11,12,13,10,20,16,19,18,17,6]
[21,19,20,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,17,11,12,10,20,15,16,13,21,19,6]
[20,19,21,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,17,11,12,10,21,15,16,13,20,19,6]
[21,18,19,15,16,20,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,20,11,12,10,19,15,13,21,18,16,6]
[20,18,21,15,16,19,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,19,11,12,10,21,15,13,20,16,18,6]
[19,18,20,15,16,21,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,21,11,12,10,20,15,13,19,18,16,6]
[21,17,18,15,16,19,11,12,13,20,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,20,7,8,9,19,11,12,10,18,15,21,17,16,13,6]
[20,17,21,15,16,18,11,12,13,19,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,19,7,8,9,18,11,12,10,21,15,20,16,13,17,6]
[19,17,20,15,16,21,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,21,11,12,10,20,15,19,13,17,16,6]
[18,17,19,15,16,20,11,12,13,21,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,21,7,8,9,20,11,12,10,19,15,18,17,16,13,6]
[21,19,20,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,16,11,12,20,14,15,13,10,21,19,6]
[20,19,21,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,16,11,12,21,14,15,13,10,20,19,6]
[21,18,19,14,15,20,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,20,11,12,19,14,13,10,21,18,15,6]
[20,18,21,14,15,19,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,19,11,12,21,14,13,10,20,15,18,6]
[19,18,20,14,15,21,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,21,11,12,20,14,13,10,19,18,15,6]
[21,17,18,14,15,19,11,12,13,20,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,20,7,8,9,19,11,12,18,14,10,21,17,15,13,6]
[20,17,21,14,15,18,11,12,13,19,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,19,7,8,9,18,11,12,21,14,10,20,15,13,17,6]
[19,17,20,14,15,21,11,12,13,18,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,18,7,8,9,21,11,12,20,14,10,19,13,17,15,6]
[18,17,19,14,15,20,11,12,13,21,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,21,7,8,9,20,11,12,19,14,10,18,17,15,13,6]
[21,16,17,14,15,18,11,12,13,19,7,8,9,10,20,1,2,3,4,5,6]=>[20,1,2,3,4,5,19,7,8,9,18,11,12,17,14,21,16,15,13,10,6]
[20,16,21,14,15,17,11,12,13,18,7,8,9,10,19,1,2,3,4,5,6]=>[19,1,2,3,4,5,18,7,8,9,17,11,12,21,14,20,15,13,10,16,6]
[19,16,20,14,15,21,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,21,11,12,20,14,19,13,10,16,15,6]
[18,16,19,14,15,20,11,12,13,21,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,21,7,8,9,20,11,12,19,14,18,10,16,15,13,6]
[17,16,18,14,15,19,11,12,13,20,7,8,9,10,21,1,2,3,4,5,6]=>[21,1,2,3,4,5,20,7,8,9,19,11,12,18,14,17,16,15,13,10,6]
[21,19,20,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,18,12,13,14,20,16,17,21,19,11]
[20,19,21,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,18,12,13,14,21,16,17,20,19,11]
[21,18,19,16,17,20,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,20,12,13,14,19,16,21,18,17,11]
[20,18,21,16,17,19,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,19,12,13,14,21,16,20,17,18,11]
[19,18,20,16,17,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,21,12,13,14,20,16,19,18,17,11]
[21,19,20,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,17,12,13,20,15,16,14,21,19,11]
[20,19,21,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,17,12,13,21,15,16,14,20,19,11]
[21,18,19,15,16,20,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,20,12,13,19,15,14,21,18,16,11]
[20,18,21,15,16,19,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,19,12,13,21,15,14,20,16,18,11]
[19,18,20,15,16,21,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,21,12,13,20,15,14,19,18,16,11]
[21,17,18,15,16,19,12,13,14,20,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,20,6,7,8,9,5,19,12,13,18,15,21,17,16,14,11]
[20,17,21,15,16,18,12,13,14,19,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,19,6,7,8,9,5,18,12,13,21,15,20,16,14,17,11]
[19,17,20,15,16,21,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,21,12,13,20,15,19,14,17,16,11]
[18,17,19,15,16,20,12,13,14,21,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,21,6,7,8,9,5,20,12,13,19,15,18,17,16,14,11]
[21,19,20,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,18,11,12,13,9,20,16,17,21,19,10]
[20,19,21,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,18,11,12,13,9,21,16,17,20,19,10]
[21,18,19,16,17,20,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,20,11,12,13,9,19,16,21,18,17,10]
[20,18,21,16,17,19,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,19,11,12,13,9,21,16,20,17,18,10]
[19,18,20,16,17,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,21,11,12,13,9,20,16,19,18,17,10]
[21,19,20,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,17,11,12,9,20,15,16,13,21,19,10]
[20,19,21,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,17,11,12,9,21,15,16,13,20,19,10]
[21,18,19,15,16,20,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,20,11,12,9,19,15,13,21,18,16,10]
[20,18,21,15,16,19,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,19,11,12,9,21,15,13,20,16,18,10]
[19,18,20,15,16,21,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,21,11,12,9,20,15,13,19,18,16,10]
[21,17,18,15,16,19,11,12,13,20,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,20,6,7,8,5,19,11,12,9,18,15,21,17,16,13,10]
[20,17,21,15,16,18,11,12,13,19,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,19,6,7,8,5,18,11,12,9,21,15,20,16,13,17,10]
[19,17,20,15,16,21,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,21,11,12,9,20,15,19,13,17,16,10]
[18,17,19,15,16,20,11,12,13,21,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,21,6,7,8,5,20,11,12,9,19,15,18,17,16,13,10]
[21,19,20,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,16,11,12,20,14,15,13,9,21,19,10]
[20,19,21,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,16,11,12,21,14,15,13,9,20,19,10]
[21,18,19,14,15,20,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,20,11,12,19,14,13,9,21,18,15,10]
[20,18,21,14,15,19,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,19,11,12,21,14,13,9,20,15,18,10]
[19,18,20,14,15,21,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,21,11,12,20,14,13,9,19,18,15,10]
[21,17,18,14,15,19,11,12,13,20,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,20,6,7,8,5,19,11,12,18,14,9,21,17,15,13,10]
[20,17,21,14,15,18,11,12,13,19,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,19,6,7,8,5,18,11,12,21,14,9,20,15,13,17,10]
[19,17,20,14,15,21,11,12,13,18,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,18,6,7,8,5,21,11,12,20,14,9,19,13,17,15,10]
[18,17,19,14,15,20,11,12,13,21,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,21,6,7,8,5,20,11,12,19,14,9,18,17,15,13,10]
[21,16,17,14,15,18,11,12,13,19,6,7,8,9,20,1,2,3,4,5,10]=>[20,1,2,3,4,19,6,7,8,5,18,11,12,17,14,21,16,15,13,9,10]
[20,16,21,14,15,17,11,12,13,18,6,7,8,9,19,1,2,3,4,5,10]=>[19,1,2,3,4,18,6,7,8,5,17,11,12,21,14,20,15,13,9,16,10]
[19,16,20,14,15,21,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,21,11,12,20,14,19,13,9,16,15,10]
[18,16,19,14,15,20,11,12,13,21,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,21,6,7,8,5,20,11,12,19,14,18,9,16,15,13,10]
[17,16,18,14,15,19,11,12,13,20,6,7,8,9,21,1,2,3,4,5,10]=>[21,1,2,3,4,20,6,7,8,5,19,11,12,18,14,17,16,15,13,9,10]
[21,19,20,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,18,10,11,12,9,5,20,16,17,21,19,15]
[20,19,21,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,18,10,11,12,9,5,21,16,17,20,19,15]
[21,18,19,16,17,20,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,20,10,11,12,9,5,19,16,21,18,17,15]
[20,18,21,16,17,19,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,19,10,11,12,9,5,21,16,20,17,18,15]
[19,18,20,16,17,21,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,21,10,11,12,9,5,20,16,19,18,17,15]
[21,19,20,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,17,10,11,9,5,20,15,16,12,21,19,14]
[20,19,21,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,17,10,11,9,5,21,15,16,12,20,19,14]
[21,18,19,15,16,20,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,20,10,11,9,5,19,15,12,21,18,16,14]
[20,18,21,15,16,19,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,19,10,11,9,5,21,15,12,20,16,18,14]
[19,18,20,15,16,21,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,21,10,11,9,5,20,15,12,19,18,16,14]
[21,17,18,15,16,19,10,11,12,20,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,20,6,7,8,19,10,11,9,5,18,15,21,17,16,12,14]
[20,17,21,15,16,18,10,11,12,19,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,19,6,7,8,18,10,11,9,5,21,15,20,16,12,17,14]
[19,17,20,15,16,21,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,21,10,11,9,5,20,15,19,12,17,16,14]
[18,17,19,15,16,20,10,11,12,21,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,21,6,7,8,20,10,11,9,5,19,15,18,17,16,12,14]
[21,19,20,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,16,10,11,5,20,14,15,12,9,21,19,13]
[20,19,21,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,16,10,11,5,21,14,15,12,9,20,19,13]
[21,18,19,14,15,20,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,20,10,11,5,19,14,12,9,21,18,15,13]
[20,18,21,14,15,19,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,19,10,11,5,21,14,12,9,20,15,18,13]
[19,18,20,14,15,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,21,10,11,5,20,14,12,9,19,18,15,13]
[21,17,18,14,15,19,10,11,12,20,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,20,6,7,8,19,10,11,5,18,14,9,21,17,15,12,13]
[20,17,21,14,15,18,10,11,12,19,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,19,6,7,8,18,10,11,5,21,14,9,20,15,12,17,13]
[19,17,20,14,15,21,10,11,12,18,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,18,6,7,8,21,10,11,5,20,14,9,19,12,17,15,13]
[18,17,19,14,15,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,21,6,7,8,20,10,11,5,19,14,9,18,17,15,12,13]
[21,16,17,14,15,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,13]=>[20,1,2,3,4,19,6,7,8,18,10,11,5,17,14,21,16,15,12,9,13]
[20,16,21,14,15,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,13]=>[19,1,2,3,4,18,6,7,8,17,10,11,5,21,14,20,15,12,9,16,13]
[19,16,20,14,15,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,21,10,11,5,20,14,19,12,9,16,15,13]
[18,16,19,14,15,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,21,6,7,8,20,10,11,5,19,14,18,9,16,15,12,13]
[17,16,18,14,15,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,13]=>[21,1,2,3,4,20,6,7,8,19,10,11,5,18,14,17,16,15,12,9,13]
[21,19,20,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,15,10,11,20,13,14,12,9,5,21,19,18]
[20,19,21,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,15,10,11,21,13,14,12,9,5,20,19,18]
[21,18,19,13,14,20,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,20,10,11,19,13,12,9,5,21,18,14,17]
[20,18,21,13,14,19,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,19,10,11,21,13,12,9,5,20,14,18,17]
[19,18,20,13,14,21,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,21,10,11,20,13,12,9,5,19,18,14,17]
[21,17,18,13,14,19,10,11,12,20,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,20,6,7,8,19,10,11,18,13,9,5,21,17,14,12,16]
[20,17,21,13,14,18,10,11,12,19,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,19,6,7,8,18,10,11,21,13,9,5,20,14,12,17,16]
[19,17,20,13,14,21,10,11,12,18,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,18,6,7,8,21,10,11,20,13,9,5,19,12,17,14,16]
[18,17,19,13,14,20,10,11,12,21,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,21,6,7,8,20,10,11,19,13,9,5,18,17,14,12,16]
[21,16,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,15]=>[20,1,2,3,4,19,6,7,8,18,10,11,17,13,5,21,16,14,12,9,15]
[20,16,21,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,15]=>[19,1,2,3,4,18,6,7,8,17,10,11,21,13,5,20,14,12,9,16,15]
[19,16,20,13,14,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,15]=>[18,1,2,3,4,17,6,7,8,21,10,11,20,13,5,19,12,9,16,14,15]
[18,16,19,13,14,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,15]=>[17,1,2,3,4,21,6,7,8,20,10,11,19,13,5,18,9,16,14,12,15]
[17,16,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,15]=>[21,1,2,3,4,20,6,7,8,19,10,11,18,13,5,17,16,14,12,9,15]
[21,15,16,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,20]=>[19,1,2,3,4,18,6,7,8,17,10,11,16,13,21,15,14,12,9,5,20]
[20,15,21,13,14,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,19]=>[18,1,2,3,4,17,6,7,8,16,10,11,21,13,20,14,12,9,5,15,19]
[19,15,20,13,14,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,21,10,11,20,13,19,12,9,5,15,14,18]
[18,15,19,13,14,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,21,6,7,8,20,10,11,19,13,18,9,5,15,14,12,17]
[17,15,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,16]=>[21,1,2,3,4,20,6,7,8,19,10,11,18,13,17,5,15,14,12,9,16]
[16,15,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,21]=>[20,1,2,3,4,19,6,7,8,18,10,11,17,13,16,15,14,12,9,5,21]
[19,17,20,16,18,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,21,12,13,14,20,19,16,17,18,6]
[19,17,20,15,18,21,12,13,14,16,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,16,7,8,9,10,21,12,13,20,14,19,15,17,18,6]
[21,17,18,14,15,19,12,13,16,20,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,20,7,8,9,10,19,12,18,14,13,21,17,15,16,6]
[20,17,21,14,15,18,12,13,16,19,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,19,7,8,9,10,18,12,21,14,13,20,15,16,17,6]
[19,16,20,14,17,21,12,13,15,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,21,12,20,13,19,14,15,16,17,6]
[18,15,19,13,16,20,12,14,17,21,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,21,7,8,9,10,20,19,12,18,13,14,15,16,17,6]
[19,17,20,16,18,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,21,11,12,13,10,20,19,16,17,18,6]
[19,17,20,15,18,21,11,12,13,16,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,16,7,8,9,21,11,12,10,20,13,19,15,17,18,6]
[21,17,18,14,15,19,11,12,16,20,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,20,7,8,9,19,11,10,18,14,12,21,17,15,16,6]
[20,17,21,14,15,18,11,12,16,19,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,19,7,8,9,18,11,10,21,14,12,20,15,16,17,6]
[19,16,20,14,17,21,11,12,15,18,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,18,7,8,9,21,11,10,20,12,19,14,15,16,17,6]
[18,15,19,13,16,20,11,14,17,21,7,8,9,10,12,1,2,3,4,5,6]=>[12,1,2,3,4,5,21,7,8,9,20,10,19,11,18,13,14,15,16,17,6]
[21,19,20,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,16,10,11,9,20,14,15,12,13,21,19,6]
[20,19,21,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,16,10,11,9,21,14,15,12,13,20,19,6]
[21,18,19,14,15,20,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,20,10,11,9,19,14,12,13,21,18,15,6]
[20,18,21,14,15,19,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,19,10,11,9,21,14,12,13,20,15,18,6]
[19,17,20,14,18,21,10,11,12,15,7,8,9,13,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,15,7,8,21,10,11,9,20,12,13,19,14,17,18,6]
[21,17,18,13,14,19,10,11,15,20,7,8,9,12,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,20,7,8,19,10,9,18,13,11,12,21,17,14,15,6]
[20,17,21,13,14,18,10,11,15,19,7,8,9,12,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,19,7,8,18,10,9,21,13,11,12,20,14,15,17,6]
[19,16,20,13,17,21,10,11,14,18,7,8,9,12,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,18,7,8,21,10,9,20,11,12,19,13,14,16,17,6]
[18,15,19,12,16,20,10,13,17,21,7,8,9,11,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,21,7,8,20,9,19,10,11,18,12,13,15,16,17,6]
[21,16,17,12,13,18,9,10,14,19,7,8,11,15,20,1,2,3,4,5,6]=>[20,1,2,3,4,5,19,7,18,9,8,17,12,10,11,21,16,13,14,15,6]
[20,16,21,12,13,17,9,10,14,18,7,8,11,15,19,1,2,3,4,5,6]=>[19,1,2,3,4,5,18,7,17,9,8,21,12,10,11,20,13,14,15,16,6]
[19,15,20,12,16,21,9,10,13,17,7,8,11,14,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,21,9,8,20,10,11,19,12,13,14,15,16,6]
[18,14,19,11,15,20,9,12,16,21,7,8,10,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,21,7,20,8,19,9,10,18,11,12,13,14,15,16,6]
[17,13,18,10,14,19,8,11,15,20,7,9,12,16,21,1,2,3,4,5,6]=>[21,1,2,3,4,5,20,19,7,18,8,9,17,10,11,12,13,14,15,16,6]
[19,17,20,16,18,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,21,12,13,14,20,19,16,17,18,11]
[19,17,20,15,18,21,12,13,14,16,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,16,6,7,8,9,5,21,12,13,20,14,19,15,17,18,11]
[21,17,18,14,15,19,12,13,16,20,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,20,6,7,8,9,5,19,12,18,14,13,21,17,15,16,11]
[20,17,21,14,15,18,12,13,16,19,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,19,6,7,8,9,5,18,12,21,14,13,20,15,16,17,11]
[19,16,20,14,17,21,12,13,15,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,21,12,20,13,19,14,15,16,17,11]
[18,15,19,13,16,20,12,14,17,21,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,21,6,7,8,9,5,20,19,12,18,13,14,15,16,17,11]
[19,17,20,16,18,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,21,11,12,13,9,20,19,16,17,18,10]
[19,17,20,15,18,21,11,12,13,16,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,16,6,7,8,5,21,11,12,9,20,13,19,15,17,18,10]
[21,17,18,14,15,19,11,12,16,20,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,20,6,7,8,5,19,11,9,18,14,12,21,17,15,16,10]
[20,17,21,14,15,18,11,12,16,19,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,19,6,7,8,5,18,11,9,21,14,12,20,15,16,17,10]
[19,16,20,14,17,21,11,12,15,18,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,18,6,7,8,5,21,11,9,20,12,19,14,15,16,17,10]
[18,15,19,13,16,20,11,14,17,21,6,7,8,9,12,1,2,3,4,5,10]=>[12,1,2,3,4,21,6,7,8,5,20,9,19,11,18,13,14,15,16,17,10]
[21,19,20,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[18,1,2,3,4,17,6,7,5,16,10,11,8,20,14,15,12,13,21,19,9]
[20,19,21,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[18,1,2,3,4,17,6,7,5,16,10,11,8,21,14,15,12,13,20,19,9]
[21,18,19,14,15,20,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[17,1,2,3,4,16,6,7,5,20,10,11,8,19,14,12,13,21,18,15,9]
[20,18,21,14,15,19,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[17,1,2,3,4,16,6,7,5,19,10,11,8,21,14,12,13,20,15,18,9]
[19,17,20,14,18,21,10,11,12,15,6,7,8,13,16,1,2,3,4,5,9]=>[16,1,2,3,4,15,6,7,5,21,10,11,8,20,12,13,19,14,17,18,9]
[21,17,18,13,14,19,10,11,15,20,6,7,8,12,16,1,2,3,4,5,9]=>[16,1,2,3,4,20,6,7,5,19,10,8,18,13,11,12,21,17,14,15,9]
[20,17,21,13,14,18,10,11,15,19,6,7,8,12,16,1,2,3,4,5,9]=>[16,1,2,3,4,19,6,7,5,18,10,8,21,13,11,12,20,14,15,17,9]
[19,16,20,13,17,21,10,11,14,18,6,7,8,12,15,1,2,3,4,5,9]=>[15,1,2,3,4,18,6,7,5,21,10,8,20,11,12,19,13,14,16,17,9]
[18,15,19,12,16,20,10,13,17,21,6,7,8,11,14,1,2,3,4,5,9]=>[14,1,2,3,4,21,6,7,5,20,8,19,10,11,18,12,13,15,16,17,9]
[21,16,17,12,13,18,9,10,14,19,6,7,11,15,20,1,2,3,4,5,8]=>[20,1,2,3,4,19,6,5,18,9,7,17,12,10,11,21,16,13,14,15,8]
[20,16,21,12,13,17,9,10,14,18,6,7,11,15,19,1,2,3,4,5,8]=>[19,1,2,3,4,18,6,5,17,9,7,21,12,10,11,20,13,14,15,16,8]
[19,15,20,12,16,21,9,10,13,17,6,7,11,14,18,1,2,3,4,5,8]=>[18,1,2,3,4,17,6,5,21,9,7,20,10,11,19,12,13,14,15,16,8]
[18,14,19,11,15,20,9,12,16,21,6,7,10,13,17,1,2,3,4,5,8]=>[17,1,2,3,4,21,6,5,20,7,19,9,10,18,11,12,13,14,15,16,8]
[17,13,18,10,14,19,8,11,15,20,6,9,12,16,21,1,2,3,4,5,7]=>[21,1,2,3,4,20,5,19,6,18,8,9,17,10,11,12,13,14,15,16,7]
[21,19,20,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,18,10,11,12,8,9,20,16,17,21,19,15]
[20,19,21,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,18,10,11,12,8,9,21,16,17,20,19,15]
[21,18,19,16,17,20,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,20,10,11,12,8,9,19,16,21,18,17,15]
[20,18,21,16,17,19,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,19,10,11,12,8,9,21,16,20,17,18,15]
[19,17,20,16,18,21,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,21,10,11,12,8,9,20,19,16,17,18,15]
[21,19,20,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,18,5,6,7,4,17,10,11,8,9,20,15,16,12,21,19,14]
[20,19,21,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,18,5,6,7,4,17,10,11,8,9,21,15,16,12,20,19,14]
[21,18,19,15,16,20,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,17,5,6,7,4,20,10,11,8,9,19,15,12,21,18,16,14]
[20,18,21,15,16,19,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,17,5,6,7,4,19,10,11,8,9,21,15,12,20,16,18,14]
[19,17,20,15,18,21,10,11,12,16,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,16,5,6,7,4,21,10,11,8,9,20,12,19,15,17,18,14]
[21,17,18,14,15,19,10,11,16,20,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,20,5,6,7,4,19,10,8,9,18,14,11,21,17,15,16,13]
[20,17,21,14,15,18,10,11,16,19,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,19,5,6,7,4,18,10,8,9,21,14,11,20,15,16,17,13]
[19,16,20,14,17,21,10,11,15,18,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,18,5,6,7,4,21,10,8,9,20,11,19,14,15,16,17,13]
[18,15,19,13,16,20,10,14,17,21,5,6,7,8,11,1,2,3,4,9,12]=>[11,1,2,3,21,5,6,7,4,20,8,9,19,10,18,13,14,15,16,17,12]
[21,19,20,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[18,1,2,3,17,5,6,4,16,9,10,7,8,20,14,15,11,12,21,19,13]
[20,19,21,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[18,1,2,3,17,5,6,4,16,9,10,7,8,21,14,15,11,12,20,19,13]
[21,18,19,14,15,20,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[17,1,2,3,16,5,6,4,20,9,10,7,8,19,14,11,12,21,18,15,13]
[20,18,21,14,15,19,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[17,1,2,3,16,5,6,4,19,9,10,7,8,21,14,11,12,20,15,18,13]
[19,17,20,14,18,21,9,10,11,15,5,6,7,12,16,1,2,3,4,8,13]=>[16,1,2,3,15,5,6,4,21,9,10,7,8,20,11,12,19,14,17,18,13]
[21,17,18,13,14,19,9,10,15,20,5,6,7,11,16,1,2,3,4,8,12]=>[16,1,2,3,20,5,6,4,19,9,7,8,18,13,10,11,21,17,14,15,12]
[20,17,21,13,14,18,9,10,15,19,5,6,7,11,16,1,2,3,4,8,12]=>[16,1,2,3,19,5,6,4,18,9,7,8,21,13,10,11,20,14,15,17,12]
[19,16,20,13,17,21,9,10,14,18,5,6,7,11,15,1,2,3,4,8,12]=>[15,1,2,3,18,5,6,4,21,9,7,8,20,10,11,19,13,14,16,17,12]
[18,15,19,12,16,20,9,13,17,21,5,6,7,10,14,1,2,3,4,8,11]=>[14,1,2,3,21,5,6,4,20,7,8,19,9,10,18,12,13,15,16,17,11]
[21,16,17,12,13,18,8,9,14,19,5,6,10,15,20,1,2,3,4,7,11]=>[20,1,2,3,19,5,4,18,8,6,7,17,12,9,10,21,16,13,14,15,11]
[20,16,21,12,13,17,8,9,14,18,5,6,10,15,19,1,2,3,4,7,11]=>[19,1,2,3,18,5,4,17,8,6,7,21,12,9,10,20,13,14,15,16,11]
[19,15,20,12,16,21,8,9,13,17,5,6,10,14,18,1,2,3,4,7,11]=>[18,1,2,3,17,5,4,21,8,6,7,20,9,10,19,12,13,14,15,16,11]
[18,14,19,11,15,20,8,12,16,21,5,6,9,13,17,1,2,3,4,7,10]=>[17,1,2,3,21,5,4,20,6,7,19,8,9,18,11,12,13,14,15,16,10]
[17,13,18,10,14,19,7,11,15,20,5,8,12,16,21,1,2,3,4,6,9]=>[21,1,2,3,20,4,19,5,6,18,7,8,17,10,11,12,13,14,15,16,9]
[21,19,20,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[17,1,2,16,4,5,3,15,8,9,6,7,20,13,14,10,11,12,21,19,18]
[20,19,21,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[17,1,2,16,4,5,3,15,8,9,6,7,21,13,14,10,11,12,20,19,18]
[21,18,19,13,14,20,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[16,1,2,15,4,5,3,20,8,9,6,7,19,13,10,11,12,21,18,14,17]
[20,18,21,13,14,19,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[16,1,2,15,4,5,3,19,8,9,6,7,21,13,10,11,12,20,14,18,17]
[19,17,20,13,18,21,8,9,10,14,4,5,6,11,15,1,2,3,7,12,16]=>[15,1,2,14,4,5,3,21,8,9,6,7,20,10,11,12,19,13,17,18,16]
[21,17,18,12,13,19,8,9,14,20,4,5,6,10,15,1,2,3,7,11,16]=>[15,1,2,20,4,5,3,19,8,6,7,18,12,9,10,11,21,17,13,14,16]
[20,17,21,12,13,18,8,9,14,19,4,5,6,10,15,1,2,3,7,11,16]=>[15,1,2,19,4,5,3,18,8,6,7,21,12,9,10,11,20,13,14,17,16]
[19,16,20,12,17,21,8,9,13,18,4,5,6,10,14,1,2,3,7,11,15]=>[14,1,2,18,4,5,3,21,8,6,7,20,9,10,11,19,12,13,16,17,15]
[18,15,19,11,16,20,8,12,17,21,4,5,6,9,13,1,2,3,7,10,14]=>[13,1,2,21,4,5,3,20,6,7,19,8,9,10,18,11,12,15,16,17,14]
[21,16,17,11,12,18,7,8,13,19,4,5,9,14,20,1,2,3,6,10,15]=>[20,1,2,19,4,3,18,7,5,6,17,11,8,9,10,21,16,12,13,14,15]
[20,16,21,11,12,17,7,8,13,18,4,5,9,14,19,1,2,3,6,10,15]=>[19,1,2,18,4,3,17,7,5,6,21,11,8,9,10,20,12,13,14,16,15]
[19,15,20,11,16,21,7,8,12,17,4,5,9,13,18,1,2,3,6,10,14]=>[18,1,2,17,4,3,21,7,5,6,20,8,9,10,19,11,12,13,15,16,14]
[18,14,19,10,15,20,7,11,16,21,4,5,8,12,17,1,2,3,6,9,13]=>[17,1,2,21,4,3,20,5,6,19,7,8,9,18,10,11,12,14,15,16,13]
[17,13,18,9,14,19,6,10,15,20,4,7,11,16,21,1,2,3,5,8,12]=>[21,1,2,20,3,19,4,5,18,6,7,8,17,9,10,11,13,14,15,16,12]
[21,15,16,10,11,17,6,7,12,18,3,4,8,13,19,1,2,5,9,14,20]=>[19,1,18,3,2,17,6,4,5,16,10,7,8,9,21,15,11,12,13,14,20]
[20,15,21,10,11,16,6,7,12,17,3,4,8,13,18,1,2,5,9,14,19]=>[18,1,17,3,2,16,6,4,5,21,10,7,8,9,20,11,12,13,14,15,19]
[19,14,20,10,15,21,6,7,11,16,3,4,8,12,17,1,2,5,9,13,18]=>[17,1,16,3,2,21,6,4,5,20,7,8,9,19,10,11,12,13,14,15,18]
[18,13,19,9,14,20,6,10,15,21,3,4,7,11,16,1,2,5,8,12,17]=>[16,1,21,3,2,20,4,5,19,6,7,8,18,9,10,11,12,13,14,15,17]
[17,12,18,8,13,19,5,9,14,20,3,6,10,15,21,1,2,4,7,11,16]=>[21,1,20,2,19,3,4,18,5,6,7,17,8,9,10,11,12,13,14,15,16]
[16,11,17,7,12,18,4,8,13,19,2,5,9,14,20,1,3,6,10,15,21]=>[20,19,1,18,2,3,17,4,5,6,16,7,8,9,10,11,12,13,14,15,21]
[20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22,21]=>[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,1,22,21]
[2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,3]
[11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1,22,21]=>[2,3,4,5,6,7,8,9,10,20,11,12,13,14,15,16,17,18,19,1,22,21]
[2,1,13,14,15,16,17,18,19,20,21,22,12,11,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,11,12,22,13,14,15,16,17,18,19,20,21,3]
[11,12,13,14,15,16,17,18,19,20,22,1,2,3,4,5,6,7,8,9,10,21]=>[22,1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,10,21]
[2,13,14,15,16,17,18,19,20,21,22,1,3,4,5,6,7,8,9,10,11,12]=>[22,2,1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,12]
          

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

Description

Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that

the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.

References

[1] (service unreachable) MathSciNet:4468204 arXiv:2111.02973

Properties

bijective, graded

Sage code

from sage.combinat.permutation import from_inversion_vector
def mapping(pi):
    pi = Permutation(pi)
    if not pi:
        return pi

    descent_views = []
    for i in range(len(pi)-1):
        if pi[i] > pi[i+1]:
            i_m = i+1
            while i_m < len(pi)-1 and pi[i_m+1] < pi[i_m]:
                i_m += 1
            for j in range(len(pi)):
                if pi[i] > pi[j] > pi[i+1]:
                    j_m = j
                    while j_m < len(pi)-1 and pi[j_m+1] < pi[j_m]:
                        j_m += 1
                    if pi[j_m] > pi[i_m]:
                        descent_views.append(pi[j])

    runs = [r[::-1] for r in reversed(pi.reverse().runs())]
    l_rb = [run[-1] for run in runs]
    l_rt = [run[0] for run in runs]

    # compute excedences of sigma
    P = sorted([i for i in range(1, len(pi)+1) if i not in l_rb])
    f = [descent_views.count(v) for v in P]
    f_pi = [P[j-1] for j in from_inversion_vector(f)]
    sigma = [None for i in range(len(pi))]
    for i in range(len(pi)):
        if i+1 not in l_rt:
            sigma[i] = f_pi.pop(0)

    # compute deficiencies of sigma
    # compute sigma_star
    pi_star = Permutation(sum(sorted(runs), []))

    sigma_star = sigma[:]
    # in pi_star, the run-tops are precisely the lrmax,
    # so the image of each run-top is its iterated preimage
    for rt in l_rt:
        preimage = rt
        while preimage in sigma:
            preimage = sigma.index(preimage) + 1
        sigma_star[rt-1] = preimage

    tau = {}
    for run in runs:
        tau[run[-1]] = sigma_star[run[0] - 1]

    while runs:
        run = min(runs, key=lambda r: r[0])
        rt = run[0]
        rb = run[-1]
        r = runs.index(run)
        if r > 0:
            r_left = r-1
        else:
            r_left = r
        rb_left = runs[r_left][-1]
        while tau[rb_left] > rt:
            rb_left = tau[rb_left]
        sigma[rt-1] = tau[rb_left]
        tau[rb_left] = tau[rb]
        del tau[rb]
        del runs[r]

    return Permutation(sigma)

Weight

Created

Jul 01, 2021 at 16:46 by Martin Rubey

Updated

May 17, 2023 at 17:52 by Martin Rubey