Identifier
Images
=>
[1]=>[1]
[1,2]=>[2,1]
[2,1]=>[1,2]
[1,2,3]=>[3,2,1]
[1,3,2]=>[2,3,1]
[2,1,3]=>[3,1,2]
[2,3,1]=>[2,1,3]
[3,1,2]=>[1,3,2]
[3,2,1]=>[1,2,3]
[1,2,3,4]=>[4,3,2,1]
[1,2,4,3]=>[3,4,2,1]
[1,3,2,4]=>[4,2,3,1]
[1,3,4,2]=>[3,2,4,1]
[1,4,2,3]=>[2,4,3,1]
[1,4,3,2]=>[2,3,4,1]
[2,1,3,4]=>[4,3,1,2]
[2,1,4,3]=>[3,4,1,2]
[2,3,1,4]=>[4,2,1,3]
[2,3,4,1]=>[3,2,1,4]
[2,4,1,3]=>[2,1,4,3]
[2,4,3,1]=>[2,1,3,4]
[3,1,2,4]=>[4,1,3,2]
[3,1,4,2]=>[1,3,2,4]
[3,2,1,4]=>[4,1,2,3]
[3,2,4,1]=>[2,3,1,4]
[3,4,1,2]=>[3,1,4,2]
[3,4,2,1]=>[3,1,2,4]
[4,1,2,3]=>[1,4,3,2]
[4,1,3,2]=>[1,4,2,3]
[4,2,1,3]=>[1,2,4,3]
[4,2,3,1]=>[2,4,1,3]
[4,3,1,2]=>[1,3,4,2]
[4,3,2,1]=>[1,2,3,4]
[1,2,3,4,5]=>[5,4,3,2,1]
[1,2,3,5,4]=>[4,5,3,2,1]
[1,2,4,3,5]=>[5,3,4,2,1]
[1,2,4,5,3]=>[4,3,5,2,1]
[1,2,5,3,4]=>[3,5,4,2,1]
[1,2,5,4,3]=>[3,4,5,2,1]
[1,3,2,4,5]=>[5,4,2,3,1]
[1,3,2,5,4]=>[4,5,2,3,1]
[1,3,4,2,5]=>[5,3,2,4,1]
[1,3,4,5,2]=>[4,3,2,5,1]
[1,3,5,2,4]=>[3,2,5,4,1]
[1,3,5,4,2]=>[3,2,4,5,1]
[1,4,2,3,5]=>[5,2,4,3,1]
[1,4,2,5,3]=>[2,4,3,5,1]
[1,4,3,2,5]=>[5,2,3,4,1]
[1,4,3,5,2]=>[3,4,2,5,1]
[1,4,5,2,3]=>[4,2,5,3,1]
[1,4,5,3,2]=>[4,2,3,5,1]
[1,5,2,3,4]=>[2,5,4,3,1]
[1,5,2,4,3]=>[2,5,3,4,1]
[1,5,3,2,4]=>[2,3,5,4,1]
[1,5,3,4,2]=>[3,5,2,4,1]
[1,5,4,2,3]=>[2,4,5,3,1]
[1,5,4,3,2]=>[2,3,4,5,1]
[2,1,3,4,5]=>[5,4,3,1,2]
[2,1,3,5,4]=>[4,5,3,1,2]
[2,1,4,3,5]=>[5,3,4,1,2]
[2,1,4,5,3]=>[4,3,5,1,2]
[2,1,5,3,4]=>[3,5,4,1,2]
[2,1,5,4,3]=>[3,4,5,1,2]
[2,3,1,4,5]=>[5,4,2,1,3]
[2,3,1,5,4]=>[4,5,2,1,3]
[2,3,4,1,5]=>[5,3,2,1,4]
[2,3,4,5,1]=>[4,3,2,1,5]
[2,3,5,1,4]=>[3,2,1,5,4]
[2,3,5,4,1]=>[3,2,1,4,5]
[2,4,1,3,5]=>[5,2,1,4,3]
[2,4,1,5,3]=>[2,1,4,3,5]
[2,4,3,1,5]=>[5,2,1,3,4]
[2,4,3,5,1]=>[3,4,2,1,5]
[2,4,5,1,3]=>[4,2,1,5,3]
[2,4,5,3,1]=>[4,2,1,3,5]
[2,5,1,3,4]=>[2,1,5,4,3]
[2,5,1,4,3]=>[2,1,5,3,4]
[2,5,3,1,4]=>[2,1,3,5,4]
[2,5,3,4,1]=>[3,5,2,1,4]
[2,5,4,1,3]=>[2,1,4,5,3]
[2,5,4,3,1]=>[2,1,3,4,5]
[3,1,2,4,5]=>[5,4,1,3,2]
[3,1,2,5,4]=>[4,5,1,3,2]
[3,1,4,2,5]=>[5,1,3,2,4]
[3,1,4,5,2]=>[4,1,3,2,5]
[3,1,5,2,4]=>[1,3,2,5,4]
[3,1,5,4,2]=>[1,3,2,4,5]
[3,2,1,4,5]=>[5,4,1,2,3]
[3,2,1,5,4]=>[4,5,1,2,3]
[3,2,4,1,5]=>[5,2,3,1,4]
[3,2,4,5,1]=>[4,2,3,1,5]
[3,2,5,1,4]=>[2,3,1,5,4]
[3,2,5,4,1]=>[2,3,1,4,5]
[3,4,1,2,5]=>[5,3,1,4,2]
[3,4,1,5,2]=>[3,1,4,2,5]
[3,4,2,1,5]=>[5,3,1,2,4]
[3,4,2,5,1]=>[3,2,4,1,5]
[3,4,5,1,2]=>[4,3,1,5,2]
[3,4,5,2,1]=>[4,3,1,2,5]
[3,5,1,2,4]=>[3,1,5,4,2]
[3,5,1,4,2]=>[3,1,5,2,4]
[3,5,2,1,4]=>[3,1,2,5,4]
[3,5,2,4,1]=>[3,2,5,1,4]
[3,5,4,1,2]=>[3,1,4,5,2]
[3,5,4,2,1]=>[3,1,2,4,5]
[4,1,2,3,5]=>[5,1,4,3,2]
[4,1,2,5,3]=>[1,4,3,5,2]
[4,1,3,2,5]=>[5,1,4,2,3]
[4,1,3,5,2]=>[1,4,3,2,5]
[4,1,5,2,3]=>[1,4,2,5,3]
[4,1,5,3,2]=>[1,4,2,3,5]
[4,2,1,3,5]=>[5,1,2,4,3]
[4,2,1,5,3]=>[1,2,4,3,5]
[4,2,3,1,5]=>[5,2,4,1,3]
[4,2,3,5,1]=>[2,4,3,1,5]
[4,2,5,1,3]=>[2,4,1,5,3]
[4,2,5,3,1]=>[2,4,1,3,5]
[4,3,1,2,5]=>[5,1,3,4,2]
[4,3,1,5,2]=>[1,3,4,2,5]
[4,3,2,1,5]=>[5,1,2,3,4]
[4,3,2,5,1]=>[2,3,4,1,5]
[4,3,5,1,2]=>[3,4,1,5,2]
[4,3,5,2,1]=>[3,4,1,2,5]
[4,5,1,2,3]=>[4,1,5,3,2]
[4,5,1,3,2]=>[4,1,5,2,3]
[4,5,2,1,3]=>[4,1,2,5,3]
[4,5,2,3,1]=>[4,2,5,1,3]
[4,5,3,1,2]=>[4,1,3,5,2]
[4,5,3,2,1]=>[4,1,2,3,5]
[5,1,2,3,4]=>[1,5,4,3,2]
[5,1,2,4,3]=>[1,5,3,4,2]
[5,1,3,2,4]=>[1,5,4,2,3]
[5,1,3,4,2]=>[1,5,3,2,4]
[5,1,4,2,3]=>[1,5,2,4,3]
[5,1,4,3,2]=>[1,5,2,3,4]
[5,2,1,3,4]=>[1,2,5,4,3]
[5,2,1,4,3]=>[1,2,5,3,4]
[5,2,3,1,4]=>[2,5,4,1,3]
[5,2,3,4,1]=>[2,5,3,1,4]
[5,2,4,1,3]=>[2,5,1,4,3]
[5,2,4,3,1]=>[2,5,1,3,4]
[5,3,1,2,4]=>[1,3,5,4,2]
[5,3,1,4,2]=>[1,3,5,2,4]
[5,3,2,1,4]=>[1,2,3,5,4]
[5,3,2,4,1]=>[2,3,5,1,4]
[5,3,4,1,2]=>[3,5,1,4,2]
[5,3,4,2,1]=>[3,5,1,2,4]
[5,4,1,2,3]=>[1,4,5,3,2]
[5,4,1,3,2]=>[1,4,5,2,3]
[5,4,2,1,3]=>[1,2,4,5,3]
[5,4,2,3,1]=>[2,4,5,1,3]
[5,4,3,1,2]=>[1,3,4,5,2]
[5,4,3,2,1]=>[1,2,3,4,5]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]
[1,2,3,5,6,4]=>[5,4,6,3,2,1]
[1,2,3,6,4,5]=>[4,6,5,3,2,1]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]
[1,2,4,5,3,6]=>[6,4,3,5,2,1]
[1,2,4,5,6,3]=>[5,4,3,6,2,1]
[1,2,4,6,3,5]=>[4,3,6,5,2,1]
[1,2,4,6,5,3]=>[4,3,5,6,2,1]
[1,2,5,3,4,6]=>[6,3,5,4,2,1]
[1,2,5,3,6,4]=>[3,5,4,6,2,1]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]
[1,2,5,4,6,3]=>[4,5,3,6,2,1]
[1,2,5,6,3,4]=>[5,3,6,4,2,1]
[1,2,5,6,4,3]=>[5,3,4,6,2,1]
[1,2,6,3,4,5]=>[3,6,5,4,2,1]
[1,2,6,3,5,4]=>[3,6,4,5,2,1]
[1,2,6,4,3,5]=>[3,4,6,5,2,1]
[1,2,6,4,5,3]=>[4,6,3,5,2,1]
[1,2,6,5,3,4]=>[3,5,6,4,2,1]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]
[1,3,2,5,6,4]=>[5,4,6,2,3,1]
[1,3,2,6,4,5]=>[4,6,5,2,3,1]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]
[1,3,4,2,5,6]=>[6,5,3,2,4,1]
[1,3,4,2,6,5]=>[5,6,3,2,4,1]
[1,3,4,5,2,6]=>[6,4,3,2,5,1]
[1,3,4,5,6,2]=>[5,4,3,2,6,1]
[1,3,4,6,2,5]=>[4,3,2,6,5,1]
[1,3,4,6,5,2]=>[4,3,2,5,6,1]
[1,3,5,2,4,6]=>[6,3,2,5,4,1]
[1,3,5,2,6,4]=>[3,2,5,4,6,1]
[1,3,5,4,2,6]=>[6,3,2,4,5,1]
[1,3,5,4,6,2]=>[4,5,3,2,6,1]
[1,3,5,6,2,4]=>[5,3,2,6,4,1]
[1,3,5,6,4,2]=>[5,3,2,4,6,1]
[1,3,6,2,4,5]=>[3,2,6,5,4,1]
[1,3,6,2,5,4]=>[3,2,6,4,5,1]
[1,3,6,4,2,5]=>[3,2,4,6,5,1]
[1,3,6,4,5,2]=>[4,6,3,2,5,1]
[1,3,6,5,2,4]=>[3,2,5,6,4,1]
[1,3,6,5,4,2]=>[3,2,4,5,6,1]
[1,4,2,3,5,6]=>[6,5,2,4,3,1]
[1,4,2,3,6,5]=>[5,6,2,4,3,1]
[1,4,2,5,3,6]=>[6,2,4,3,5,1]
[1,4,2,5,6,3]=>[5,2,4,3,6,1]
[1,4,2,6,3,5]=>[2,4,3,6,5,1]
[1,4,2,6,5,3]=>[2,4,3,5,6,1]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]
[1,4,3,5,2,6]=>[6,3,4,2,5,1]
[1,4,3,5,6,2]=>[5,3,4,2,6,1]
[1,4,3,6,2,5]=>[3,4,2,6,5,1]
[1,4,3,6,5,2]=>[3,4,2,5,6,1]
[1,4,5,2,3,6]=>[6,4,2,5,3,1]
[1,4,5,2,6,3]=>[4,2,5,3,6,1]
[1,4,5,3,2,6]=>[6,4,2,3,5,1]
[1,4,5,3,6,2]=>[4,3,5,2,6,1]
[1,4,5,6,2,3]=>[5,4,2,6,3,1]
[1,4,5,6,3,2]=>[5,4,2,3,6,1]
[1,4,6,2,3,5]=>[4,2,6,5,3,1]
[1,4,6,2,5,3]=>[4,2,6,3,5,1]
[1,4,6,3,2,5]=>[4,2,3,6,5,1]
[1,4,6,3,5,2]=>[4,3,6,2,5,1]
[1,4,6,5,2,3]=>[4,2,5,6,3,1]
[1,4,6,5,3,2]=>[4,2,3,5,6,1]
[1,5,2,3,4,6]=>[6,2,5,4,3,1]
[1,5,2,3,6,4]=>[2,5,4,6,3,1]
[1,5,2,4,3,6]=>[6,2,5,3,4,1]
[1,5,2,4,6,3]=>[2,5,4,3,6,1]
[1,5,2,6,3,4]=>[2,5,3,6,4,1]
[1,5,2,6,4,3]=>[2,5,3,4,6,1]
[1,5,3,2,4,6]=>[6,2,3,5,4,1]
[1,5,3,2,6,4]=>[2,3,5,4,6,1]
[1,5,3,4,2,6]=>[6,3,5,2,4,1]
[1,5,3,4,6,2]=>[3,5,4,2,6,1]
[1,5,3,6,2,4]=>[3,5,2,6,4,1]
[1,5,3,6,4,2]=>[3,5,2,4,6,1]
[1,5,4,2,3,6]=>[6,2,4,5,3,1]
[1,5,4,2,6,3]=>[2,4,5,3,6,1]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]
[1,5,4,3,6,2]=>[3,4,5,2,6,1]
[1,5,4,6,2,3]=>[4,5,2,6,3,1]
[1,5,4,6,3,2]=>[4,5,2,3,6,1]
[1,5,6,2,3,4]=>[5,2,6,4,3,1]
[1,5,6,2,4,3]=>[5,2,6,3,4,1]
[1,5,6,3,2,4]=>[5,2,3,6,4,1]
[1,5,6,3,4,2]=>[5,3,6,2,4,1]
[1,5,6,4,2,3]=>[5,2,4,6,3,1]
[1,5,6,4,3,2]=>[5,2,3,4,6,1]
[1,6,2,3,4,5]=>[2,6,5,4,3,1]
[1,6,2,3,5,4]=>[2,6,4,5,3,1]
[1,6,2,4,3,5]=>[2,6,5,3,4,1]
[1,6,2,4,5,3]=>[2,6,4,3,5,1]
[1,6,2,5,3,4]=>[2,6,3,5,4,1]
[1,6,2,5,4,3]=>[2,6,3,4,5,1]
[1,6,3,2,4,5]=>[2,3,6,5,4,1]
[1,6,3,2,5,4]=>[2,3,6,4,5,1]
[1,6,3,4,2,5]=>[3,6,5,2,4,1]
[1,6,3,4,5,2]=>[3,6,4,2,5,1]
[1,6,3,5,2,4]=>[3,6,2,5,4,1]
[1,6,3,5,4,2]=>[3,6,2,4,5,1]
[1,6,4,2,3,5]=>[2,4,6,5,3,1]
[1,6,4,2,5,3]=>[2,4,6,3,5,1]
[1,6,4,3,2,5]=>[2,3,4,6,5,1]
[1,6,4,3,5,2]=>[3,4,6,2,5,1]
[1,6,4,5,2,3]=>[4,6,2,5,3,1]
[1,6,4,5,3,2]=>[4,6,2,3,5,1]
[1,6,5,2,3,4]=>[2,5,6,4,3,1]
[1,6,5,2,4,3]=>[2,5,6,3,4,1]
[1,6,5,3,2,4]=>[2,3,5,6,4,1]
[1,6,5,3,4,2]=>[3,5,6,2,4,1]
[1,6,5,4,2,3]=>[2,4,5,6,3,1]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]
[2,1,3,5,6,4]=>[5,4,6,3,1,2]
[2,1,3,6,4,5]=>[4,6,5,3,1,2]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]
[2,1,4,5,3,6]=>[6,4,3,5,1,2]
[2,1,4,5,6,3]=>[5,4,3,6,1,2]
[2,1,4,6,3,5]=>[4,3,6,5,1,2]
[2,1,4,6,5,3]=>[4,3,5,6,1,2]
[2,1,5,3,4,6]=>[6,3,5,4,1,2]
[2,1,5,3,6,4]=>[3,5,4,6,1,2]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]
[2,1,5,4,6,3]=>[4,5,3,6,1,2]
[2,1,5,6,3,4]=>[5,3,6,4,1,2]
[2,1,5,6,4,3]=>[5,3,4,6,1,2]
[2,1,6,3,4,5]=>[3,6,5,4,1,2]
[2,1,6,3,5,4]=>[3,6,4,5,1,2]
[2,1,6,4,3,5]=>[3,4,6,5,1,2]
[2,1,6,4,5,3]=>[4,6,3,5,1,2]
[2,1,6,5,3,4]=>[3,5,6,4,1,2]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]
[2,3,1,4,5,6]=>[6,5,4,2,1,3]
[2,3,1,4,6,5]=>[5,6,4,2,1,3]
[2,3,1,5,4,6]=>[6,4,5,2,1,3]
[2,3,1,5,6,4]=>[5,4,6,2,1,3]
[2,3,1,6,4,5]=>[4,6,5,2,1,3]
[2,3,1,6,5,4]=>[4,5,6,2,1,3]
[2,3,4,1,5,6]=>[6,5,3,2,1,4]
[2,3,4,1,6,5]=>[5,6,3,2,1,4]
[2,3,4,5,1,6]=>[6,4,3,2,1,5]
[2,3,4,5,6,1]=>[5,4,3,2,1,6]
[2,3,4,6,1,5]=>[4,3,2,1,6,5]
[2,3,4,6,5,1]=>[4,3,2,1,5,6]
[2,3,5,1,4,6]=>[6,3,2,1,5,4]
[2,3,5,1,6,4]=>[3,2,1,5,4,6]
[2,3,5,4,1,6]=>[6,3,2,1,4,5]
[2,3,5,4,6,1]=>[4,5,3,2,1,6]
[2,3,5,6,1,4]=>[5,3,2,1,6,4]
[2,3,5,6,4,1]=>[5,3,2,1,4,6]
[2,3,6,1,4,5]=>[3,2,1,6,5,4]
[2,3,6,1,5,4]=>[3,2,1,6,4,5]
[2,3,6,4,1,5]=>[3,2,1,4,6,5]
[2,3,6,4,5,1]=>[4,6,3,2,1,5]
[2,3,6,5,1,4]=>[3,2,1,5,6,4]
[2,3,6,5,4,1]=>[3,2,1,4,5,6]
[2,4,1,3,5,6]=>[6,5,2,1,4,3]
[2,4,1,3,6,5]=>[5,6,2,1,4,3]
[2,4,1,5,3,6]=>[6,2,1,4,3,5]
[2,4,1,5,6,3]=>[5,2,1,4,3,6]
[2,4,1,6,3,5]=>[2,1,4,3,6,5]
[2,4,1,6,5,3]=>[2,1,4,3,5,6]
[2,4,3,1,5,6]=>[6,5,2,1,3,4]
[2,4,3,1,6,5]=>[5,6,2,1,3,4]
[2,4,3,5,1,6]=>[6,3,4,2,1,5]
[2,4,3,5,6,1]=>[5,3,4,2,1,6]
[2,4,3,6,1,5]=>[3,4,2,1,6,5]
[2,4,3,6,5,1]=>[3,4,2,1,5,6]
[2,4,5,1,3,6]=>[6,4,2,1,5,3]
[2,4,5,1,6,3]=>[4,2,1,5,3,6]
[2,4,5,3,1,6]=>[6,4,2,1,3,5]
[2,4,5,3,6,1]=>[4,3,5,2,1,6]
[2,4,5,6,1,3]=>[5,4,2,1,6,3]
[2,4,5,6,3,1]=>[5,4,2,1,3,6]
[2,4,6,1,3,5]=>[4,2,1,6,5,3]
[2,4,6,1,5,3]=>[4,2,1,6,3,5]
[2,4,6,3,1,5]=>[4,2,1,3,6,5]
[2,4,6,3,5,1]=>[4,3,6,2,1,5]
[2,4,6,5,1,3]=>[4,2,1,5,6,3]
[2,4,6,5,3,1]=>[4,2,1,3,5,6]
[2,5,1,3,4,6]=>[6,2,1,5,4,3]
[2,5,1,3,6,4]=>[2,1,5,4,6,3]
[2,5,1,4,3,6]=>[6,2,1,5,3,4]
[2,5,1,4,6,3]=>[2,1,5,4,3,6]
[2,5,1,6,3,4]=>[2,1,5,3,6,4]
[2,5,1,6,4,3]=>[2,1,5,3,4,6]
[2,5,3,1,4,6]=>[6,2,1,3,5,4]
[2,5,3,1,6,4]=>[2,1,3,5,4,6]
[2,5,3,4,1,6]=>[6,3,5,2,1,4]
[2,5,3,4,6,1]=>[3,5,4,2,1,6]
[2,5,3,6,1,4]=>[3,5,2,1,6,4]
[2,5,3,6,4,1]=>[3,5,2,1,4,6]
[2,5,4,1,3,6]=>[6,2,1,4,5,3]
[2,5,4,1,6,3]=>[2,1,4,5,3,6]
[2,5,4,3,1,6]=>[6,2,1,3,4,5]
[2,5,4,3,6,1]=>[3,4,5,2,1,6]
[2,5,4,6,1,3]=>[4,5,2,1,6,3]
[2,5,4,6,3,1]=>[4,5,2,1,3,6]
[2,5,6,1,3,4]=>[5,2,1,6,4,3]
[2,5,6,1,4,3]=>[5,2,1,6,3,4]
[2,5,6,3,1,4]=>[5,2,1,3,6,4]
[2,5,6,3,4,1]=>[5,3,6,2,1,4]
[2,5,6,4,1,3]=>[5,2,1,4,6,3]
[2,5,6,4,3,1]=>[5,2,1,3,4,6]
[2,6,1,3,4,5]=>[2,1,6,5,4,3]
[2,6,1,3,5,4]=>[2,1,6,4,5,3]
[2,6,1,4,3,5]=>[2,1,6,5,3,4]
[2,6,1,4,5,3]=>[2,1,6,4,3,5]
[2,6,1,5,3,4]=>[2,1,6,3,5,4]
[2,6,1,5,4,3]=>[2,1,6,3,4,5]
[2,6,3,1,4,5]=>[2,1,3,6,5,4]
[2,6,3,1,5,4]=>[2,1,3,6,4,5]
[2,6,3,4,1,5]=>[3,6,5,2,1,4]
[2,6,3,4,5,1]=>[3,6,4,2,1,5]
[2,6,3,5,1,4]=>[3,6,2,1,5,4]
[2,6,3,5,4,1]=>[3,6,2,1,4,5]
[2,6,4,1,3,5]=>[2,1,4,6,5,3]
[2,6,4,1,5,3]=>[2,1,4,6,3,5]
[2,6,4,3,1,5]=>[2,1,3,4,6,5]
[2,6,4,3,5,1]=>[3,4,6,2,1,5]
[2,6,4,5,1,3]=>[4,6,2,1,5,3]
[2,6,4,5,3,1]=>[4,6,2,1,3,5]
[2,6,5,1,3,4]=>[2,1,5,6,4,3]
[2,6,5,1,4,3]=>[2,1,5,6,3,4]
[2,6,5,3,1,4]=>[2,1,3,5,6,4]
[2,6,5,3,4,1]=>[3,5,6,2,1,4]
[2,6,5,4,1,3]=>[2,1,4,5,6,3]
[2,6,5,4,3,1]=>[2,1,3,4,5,6]
[3,1,2,4,5,6]=>[6,5,4,1,3,2]
[3,1,2,4,6,5]=>[5,6,4,1,3,2]
[3,1,2,5,4,6]=>[6,4,5,1,3,2]
[3,1,2,5,6,4]=>[5,4,6,1,3,2]
[3,1,2,6,4,5]=>[4,6,5,1,3,2]
[3,1,2,6,5,4]=>[4,5,6,1,3,2]
[3,1,4,2,5,6]=>[6,5,1,3,2,4]
[3,1,4,2,6,5]=>[5,6,1,3,2,4]
[3,1,4,5,2,6]=>[6,4,1,3,2,5]
[3,1,4,5,6,2]=>[5,4,1,3,2,6]
[3,1,4,6,2,5]=>[4,1,3,2,6,5]
[3,1,4,6,5,2]=>[4,1,3,2,5,6]
[3,1,5,2,4,6]=>[6,1,3,2,5,4]
[3,1,5,2,6,4]=>[1,3,2,5,4,6]
[3,1,5,4,2,6]=>[6,1,3,2,4,5]
[3,1,5,4,6,2]=>[4,5,1,3,2,6]
[3,1,5,6,2,4]=>[5,1,3,2,6,4]
[3,1,5,6,4,2]=>[5,1,3,2,4,6]
[3,1,6,2,4,5]=>[1,3,2,6,5,4]
[3,1,6,2,5,4]=>[1,3,2,6,4,5]
[3,1,6,4,2,5]=>[1,3,2,4,6,5]
[3,1,6,4,5,2]=>[4,6,1,3,2,5]
[3,1,6,5,2,4]=>[1,3,2,5,6,4]
[3,1,6,5,4,2]=>[1,3,2,4,5,6]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]
[3,2,1,5,6,4]=>[5,4,6,1,2,3]
[3,2,1,6,4,5]=>[4,6,5,1,2,3]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]
[3,2,4,1,5,6]=>[6,5,2,3,1,4]
[3,2,4,1,6,5]=>[5,6,2,3,1,4]
[3,2,4,5,1,6]=>[6,4,2,3,1,5]
[3,2,4,5,6,1]=>[5,4,2,3,1,6]
[3,2,4,6,1,5]=>[4,2,3,1,6,5]
[3,2,4,6,5,1]=>[4,2,3,1,5,6]
[3,2,5,1,4,6]=>[6,2,3,1,5,4]
[3,2,5,1,6,4]=>[2,3,1,5,4,6]
[3,2,5,4,1,6]=>[6,2,3,1,4,5]
[3,2,5,4,6,1]=>[4,5,2,3,1,6]
[3,2,5,6,1,4]=>[5,2,3,1,6,4]
[3,2,5,6,4,1]=>[5,2,3,1,4,6]
[3,2,6,1,4,5]=>[2,3,1,6,5,4]
[3,2,6,1,5,4]=>[2,3,1,6,4,5]
[3,2,6,4,1,5]=>[2,3,1,4,6,5]
[3,2,6,4,5,1]=>[4,6,2,3,1,5]
[3,2,6,5,1,4]=>[2,3,1,5,6,4]
[3,2,6,5,4,1]=>[2,3,1,4,5,6]
[3,4,1,2,5,6]=>[6,5,3,1,4,2]
[3,4,1,2,6,5]=>[5,6,3,1,4,2]
[3,4,1,5,2,6]=>[6,3,1,4,2,5]
[3,4,1,5,6,2]=>[5,3,1,4,2,6]
[3,4,1,6,2,5]=>[3,1,4,2,6,5]
[3,4,1,6,5,2]=>[3,1,4,2,5,6]
[3,4,2,1,5,6]=>[6,5,3,1,2,4]
[3,4,2,1,6,5]=>[5,6,3,1,2,4]
[3,4,2,5,1,6]=>[6,3,2,4,1,5]
[3,4,2,5,6,1]=>[5,3,2,4,1,6]
[3,4,2,6,1,5]=>[3,2,4,1,6,5]
[3,4,2,6,5,1]=>[3,2,4,1,5,6]
[3,4,5,1,2,6]=>[6,4,3,1,5,2]
[3,4,5,1,6,2]=>[4,3,1,5,2,6]
[3,4,5,2,1,6]=>[6,4,3,1,2,5]
[3,4,5,2,6,1]=>[4,3,2,5,1,6]
[3,4,5,6,1,2]=>[5,4,3,1,6,2]
[3,4,5,6,2,1]=>[5,4,3,1,2,6]
[3,4,6,1,2,5]=>[4,3,1,6,5,2]
[3,4,6,1,5,2]=>[4,3,1,6,2,5]
[3,4,6,2,1,5]=>[4,3,1,2,6,5]
[3,4,6,2,5,1]=>[4,3,2,6,1,5]
[3,4,6,5,1,2]=>[4,3,1,5,6,2]
[3,4,6,5,2,1]=>[4,3,1,2,5,6]
[3,5,1,2,4,6]=>[6,3,1,5,4,2]
[3,5,1,2,6,4]=>[3,1,5,4,6,2]
[3,5,1,4,2,6]=>[6,3,1,5,2,4]
[3,5,1,4,6,2]=>[3,1,5,4,2,6]
[3,5,1,6,2,4]=>[3,1,5,2,6,4]
[3,5,1,6,4,2]=>[3,1,5,2,4,6]
[3,5,2,1,4,6]=>[6,3,1,2,5,4]
[3,5,2,1,6,4]=>[3,1,2,5,4,6]
[3,5,2,4,1,6]=>[6,3,2,5,1,4]
[3,5,2,4,6,1]=>[3,2,5,4,1,6]
[3,5,2,6,1,4]=>[3,2,5,1,6,4]
[3,5,2,6,4,1]=>[3,2,5,1,4,6]
[3,5,4,1,2,6]=>[6,3,1,4,5,2]
[3,5,4,1,6,2]=>[3,1,4,5,2,6]
[3,5,4,2,1,6]=>[6,3,1,2,4,5]
[3,5,4,2,6,1]=>[3,2,4,5,1,6]
[3,5,4,6,1,2]=>[4,5,3,1,6,2]
[3,5,4,6,2,1]=>[4,5,3,1,2,6]
[3,5,6,1,2,4]=>[5,3,1,6,4,2]
[3,5,6,1,4,2]=>[5,3,1,6,2,4]
[3,5,6,2,1,4]=>[5,3,1,2,6,4]
[3,5,6,2,4,1]=>[5,3,2,6,1,4]
[3,5,6,4,1,2]=>[5,3,1,4,6,2]
[3,5,6,4,2,1]=>[5,3,1,2,4,6]
[3,6,1,2,4,5]=>[3,1,6,5,4,2]
[3,6,1,2,5,4]=>[3,1,6,4,5,2]
[3,6,1,4,2,5]=>[3,1,6,5,2,4]
[3,6,1,4,5,2]=>[3,1,6,4,2,5]
[3,6,1,5,2,4]=>[3,1,6,2,5,4]
[3,6,1,5,4,2]=>[3,1,6,2,4,5]
[3,6,2,1,4,5]=>[3,1,2,6,5,4]
[3,6,2,1,5,4]=>[3,1,2,6,4,5]
[3,6,2,4,1,5]=>[3,2,6,5,1,4]
[3,6,2,4,5,1]=>[3,2,6,4,1,5]
[3,6,2,5,1,4]=>[3,2,6,1,5,4]
[3,6,2,5,4,1]=>[3,2,6,1,4,5]
[3,6,4,1,2,5]=>[3,1,4,6,5,2]
[3,6,4,1,5,2]=>[3,1,4,6,2,5]
[3,6,4,2,1,5]=>[3,1,2,4,6,5]
[3,6,4,2,5,1]=>[3,2,4,6,1,5]
[3,6,4,5,1,2]=>[4,6,3,1,5,2]
[3,6,4,5,2,1]=>[4,6,3,1,2,5]
[3,6,5,1,2,4]=>[3,1,5,6,4,2]
[3,6,5,1,4,2]=>[3,1,5,6,2,4]
[3,6,5,2,1,4]=>[3,1,2,5,6,4]
[3,6,5,2,4,1]=>[3,2,5,6,1,4]
[3,6,5,4,1,2]=>[3,1,4,5,6,2]
[3,6,5,4,2,1]=>[3,1,2,4,5,6]
[4,1,2,3,5,6]=>[6,5,1,4,3,2]
[4,1,2,3,6,5]=>[5,6,1,4,3,2]
[4,1,2,5,3,6]=>[6,1,4,3,5,2]
[4,1,2,5,6,3]=>[5,1,4,3,6,2]
[4,1,2,6,3,5]=>[1,4,3,6,5,2]
[4,1,2,6,5,3]=>[1,4,3,5,6,2]
[4,1,3,2,5,6]=>[6,5,1,4,2,3]
[4,1,3,2,6,5]=>[5,6,1,4,2,3]
[4,1,3,5,2,6]=>[6,1,4,3,2,5]
[4,1,3,5,6,2]=>[5,1,4,3,2,6]
[4,1,3,6,2,5]=>[1,4,3,2,6,5]
[4,1,3,6,5,2]=>[1,4,3,2,5,6]
[4,1,5,2,3,6]=>[6,1,4,2,5,3]
[4,1,5,2,6,3]=>[1,4,2,5,3,6]
[4,1,5,3,2,6]=>[6,1,4,2,3,5]
[4,1,5,3,6,2]=>[1,4,3,5,2,6]
[4,1,5,6,2,3]=>[5,1,4,2,6,3]
[4,1,5,6,3,2]=>[5,1,4,2,3,6]
[4,1,6,2,3,5]=>[1,4,2,6,5,3]
[4,1,6,2,5,3]=>[1,4,2,6,3,5]
[4,1,6,3,2,5]=>[1,4,2,3,6,5]
[4,1,6,3,5,2]=>[1,4,3,6,2,5]
[4,1,6,5,2,3]=>[1,4,2,5,6,3]
[4,1,6,5,3,2]=>[1,4,2,3,5,6]
[4,2,1,3,5,6]=>[6,5,1,2,4,3]
[4,2,1,3,6,5]=>[5,6,1,2,4,3]
[4,2,1,5,3,6]=>[6,1,2,4,3,5]
[4,2,1,5,6,3]=>[5,1,2,4,3,6]
[4,2,1,6,3,5]=>[1,2,4,3,6,5]
[4,2,1,6,5,3]=>[1,2,4,3,5,6]
[4,2,3,1,5,6]=>[6,5,2,4,1,3]
[4,2,3,1,6,5]=>[5,6,2,4,1,3]
[4,2,3,5,1,6]=>[6,2,4,3,1,5]
[4,2,3,5,6,1]=>[5,2,4,3,1,6]
[4,2,3,6,1,5]=>[2,4,3,1,6,5]
[4,2,3,6,5,1]=>[2,4,3,1,5,6]
[4,2,5,1,3,6]=>[6,2,4,1,5,3]
[4,2,5,1,6,3]=>[2,4,1,5,3,6]
[4,2,5,3,1,6]=>[6,2,4,1,3,5]
[4,2,5,3,6,1]=>[2,4,3,5,1,6]
[4,2,5,6,1,3]=>[5,2,4,1,6,3]
[4,2,5,6,3,1]=>[5,2,4,1,3,6]
[4,2,6,1,3,5]=>[2,4,1,6,5,3]
[4,2,6,1,5,3]=>[2,4,1,6,3,5]
[4,2,6,3,1,5]=>[2,4,1,3,6,5]
[4,2,6,3,5,1]=>[2,4,3,6,1,5]
[4,2,6,5,1,3]=>[2,4,1,5,6,3]
[4,2,6,5,3,1]=>[2,4,1,3,5,6]
[4,3,1,2,5,6]=>[6,5,1,3,4,2]
[4,3,1,2,6,5]=>[5,6,1,3,4,2]
[4,3,1,5,2,6]=>[6,1,3,4,2,5]
[4,3,1,5,6,2]=>[5,1,3,4,2,6]
[4,3,1,6,2,5]=>[1,3,4,2,6,5]
[4,3,1,6,5,2]=>[1,3,4,2,5,6]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]
[4,3,2,5,1,6]=>[6,2,3,4,1,5]
[4,3,2,5,6,1]=>[5,2,3,4,1,6]
[4,3,2,6,1,5]=>[2,3,4,1,6,5]
[4,3,2,6,5,1]=>[2,3,4,1,5,6]
[4,3,5,1,2,6]=>[6,3,4,1,5,2]
[4,3,5,1,6,2]=>[3,4,1,5,2,6]
[4,3,5,2,1,6]=>[6,3,4,1,2,5]
[4,3,5,2,6,1]=>[3,4,2,5,1,6]
[4,3,5,6,1,2]=>[5,3,4,1,6,2]
[4,3,5,6,2,1]=>[5,3,4,1,2,6]
[4,3,6,1,2,5]=>[3,4,1,6,5,2]
[4,3,6,1,5,2]=>[3,4,1,6,2,5]
[4,3,6,2,1,5]=>[3,4,1,2,6,5]
[4,3,6,2,5,1]=>[3,4,2,6,1,5]
[4,3,6,5,1,2]=>[3,4,1,5,6,2]
[4,3,6,5,2,1]=>[3,4,1,2,5,6]
[4,5,1,2,3,6]=>[6,4,1,5,3,2]
[4,5,1,2,6,3]=>[4,1,5,3,6,2]
[4,5,1,3,2,6]=>[6,4,1,5,2,3]
[4,5,1,3,6,2]=>[4,1,5,3,2,6]
[4,5,1,6,2,3]=>[4,1,5,2,6,3]
[4,5,1,6,3,2]=>[4,1,5,2,3,6]
[4,5,2,1,3,6]=>[6,4,1,2,5,3]
[4,5,2,1,6,3]=>[4,1,2,5,3,6]
[4,5,2,3,1,6]=>[6,4,2,5,1,3]
[4,5,2,3,6,1]=>[4,2,5,3,1,6]
[4,5,2,6,1,3]=>[4,2,5,1,6,3]
[4,5,2,6,3,1]=>[4,2,5,1,3,6]
[4,5,3,1,2,6]=>[6,4,1,3,5,2]
[4,5,3,1,6,2]=>[4,1,3,5,2,6]
[4,5,3,2,1,6]=>[6,4,1,2,3,5]
[4,5,3,2,6,1]=>[4,2,3,5,1,6]
[4,5,3,6,1,2]=>[4,3,5,1,6,2]
[4,5,3,6,2,1]=>[4,3,5,1,2,6]
[4,5,6,1,2,3]=>[5,4,1,6,3,2]
[4,5,6,1,3,2]=>[5,4,1,6,2,3]
[4,5,6,2,1,3]=>[5,4,1,2,6,3]
[4,5,6,2,3,1]=>[5,4,2,6,1,3]
[4,5,6,3,1,2]=>[5,4,1,3,6,2]
[4,5,6,3,2,1]=>[5,4,1,2,3,6]
[4,6,1,2,3,5]=>[4,1,6,5,3,2]
[4,6,1,2,5,3]=>[4,1,6,3,5,2]
[4,6,1,3,2,5]=>[4,1,6,5,2,3]
[4,6,1,3,5,2]=>[4,1,6,3,2,5]
[4,6,1,5,2,3]=>[4,1,6,2,5,3]
[4,6,1,5,3,2]=>[4,1,6,2,3,5]
[4,6,2,1,3,5]=>[4,1,2,6,5,3]
[4,6,2,1,5,3]=>[4,1,2,6,3,5]
[4,6,2,3,1,5]=>[4,2,6,5,1,3]
[4,6,2,3,5,1]=>[4,2,6,3,1,5]
[4,6,2,5,1,3]=>[4,2,6,1,5,3]
[4,6,2,5,3,1]=>[4,2,6,1,3,5]
[4,6,3,1,2,5]=>[4,1,3,6,5,2]
[4,6,3,1,5,2]=>[4,1,3,6,2,5]
[4,6,3,2,1,5]=>[4,1,2,3,6,5]
[4,6,3,2,5,1]=>[4,2,3,6,1,5]
[4,6,3,5,1,2]=>[4,3,6,1,5,2]
[4,6,3,5,2,1]=>[4,3,6,1,2,5]
[4,6,5,1,2,3]=>[4,1,5,6,3,2]
[4,6,5,1,3,2]=>[4,1,5,6,2,3]
[4,6,5,2,1,3]=>[4,1,2,5,6,3]
[4,6,5,2,3,1]=>[4,2,5,6,1,3]
[4,6,5,3,1,2]=>[4,1,3,5,6,2]
[4,6,5,3,2,1]=>[4,1,2,3,5,6]
[5,1,2,3,4,6]=>[6,1,5,4,3,2]
[5,1,2,3,6,4]=>[1,5,4,6,3,2]
[5,1,2,4,3,6]=>[6,1,5,3,4,2]
[5,1,2,4,6,3]=>[1,5,4,3,6,2]
[5,1,2,6,3,4]=>[1,5,3,6,4,2]
[5,1,2,6,4,3]=>[1,5,3,4,6,2]
[5,1,3,2,4,6]=>[6,1,5,4,2,3]
[5,1,3,2,6,4]=>[1,5,4,6,2,3]
[5,1,3,4,2,6]=>[6,1,5,3,2,4]
[5,1,3,4,6,2]=>[1,5,4,3,2,6]
[5,1,3,6,2,4]=>[1,5,3,2,6,4]
[5,1,3,6,4,2]=>[1,5,3,2,4,6]
[5,1,4,2,3,6]=>[6,1,5,2,4,3]
[5,1,4,2,6,3]=>[1,5,2,4,3,6]
[5,1,4,3,2,6]=>[6,1,5,2,3,4]
[5,1,4,3,6,2]=>[1,5,3,4,2,6]
[5,1,4,6,2,3]=>[1,5,4,2,6,3]
[5,1,4,6,3,2]=>[1,5,4,2,3,6]
[5,1,6,2,3,4]=>[1,5,2,6,4,3]
[5,1,6,2,4,3]=>[1,5,2,6,3,4]
[5,1,6,3,2,4]=>[1,5,2,3,6,4]
[5,1,6,3,4,2]=>[1,5,3,6,2,4]
[5,1,6,4,2,3]=>[1,5,2,4,6,3]
[5,1,6,4,3,2]=>[1,5,2,3,4,6]
[5,2,1,3,4,6]=>[6,1,2,5,4,3]
[5,2,1,3,6,4]=>[1,2,5,4,6,3]
[5,2,1,4,3,6]=>[6,1,2,5,3,4]
[5,2,1,4,6,3]=>[1,2,5,4,3,6]
[5,2,1,6,3,4]=>[1,2,5,3,6,4]
[5,2,1,6,4,3]=>[1,2,5,3,4,6]
[5,2,3,1,4,6]=>[6,2,5,4,1,3]
[5,2,3,1,6,4]=>[2,5,4,6,1,3]
[5,2,3,4,1,6]=>[6,2,5,3,1,4]
[5,2,3,4,6,1]=>[2,5,4,3,1,6]
[5,2,3,6,1,4]=>[2,5,3,1,6,4]
[5,2,3,6,4,1]=>[2,5,3,1,4,6]
[5,2,4,1,3,6]=>[6,2,5,1,4,3]
[5,2,4,1,6,3]=>[2,5,1,4,3,6]
[5,2,4,3,1,6]=>[6,2,5,1,3,4]
[5,2,4,3,6,1]=>[2,5,3,4,1,6]
[5,2,4,6,1,3]=>[2,5,4,1,6,3]
[5,2,4,6,3,1]=>[2,5,4,1,3,6]
[5,2,6,1,3,4]=>[2,5,1,6,4,3]
[5,2,6,1,4,3]=>[2,5,1,6,3,4]
[5,2,6,3,1,4]=>[2,5,1,3,6,4]
[5,2,6,3,4,1]=>[2,5,3,6,1,4]
[5,2,6,4,1,3]=>[2,5,1,4,6,3]
[5,2,6,4,3,1]=>[2,5,1,3,4,6]
[5,3,1,2,4,6]=>[6,1,3,5,4,2]
[5,3,1,2,6,4]=>[1,3,5,4,6,2]
[5,3,1,4,2,6]=>[6,1,3,5,2,4]
[5,3,1,4,6,2]=>[1,3,5,4,2,6]
[5,3,1,6,2,4]=>[1,3,5,2,6,4]
[5,3,1,6,4,2]=>[1,3,5,2,4,6]
[5,3,2,1,4,6]=>[6,1,2,3,5,4]
[5,3,2,1,6,4]=>[1,2,3,5,4,6]
[5,3,2,4,1,6]=>[6,2,3,5,1,4]
[5,3,2,4,6,1]=>[2,3,5,4,1,6]
[5,3,2,6,1,4]=>[2,3,5,1,6,4]
[5,3,2,6,4,1]=>[2,3,5,1,4,6]
[5,3,4,1,2,6]=>[6,3,5,1,4,2]
[5,3,4,1,6,2]=>[3,5,1,4,2,6]
[5,3,4,2,1,6]=>[6,3,5,1,2,4]
[5,3,4,2,6,1]=>[3,5,2,4,1,6]
[5,3,4,6,1,2]=>[3,5,4,1,6,2]
[5,3,4,6,2,1]=>[3,5,4,1,2,6]
[5,3,6,1,2,4]=>[3,5,1,6,4,2]
[5,3,6,1,4,2]=>[3,5,1,6,2,4]
[5,3,6,2,1,4]=>[3,5,1,2,6,4]
[5,3,6,2,4,1]=>[3,5,2,6,1,4]
[5,3,6,4,1,2]=>[3,5,1,4,6,2]
[5,3,6,4,2,1]=>[3,5,1,2,4,6]
[5,4,1,2,3,6]=>[6,1,4,5,3,2]
[5,4,1,2,6,3]=>[1,4,5,3,6,2]
[5,4,1,3,2,6]=>[6,1,4,5,2,3]
[5,4,1,3,6,2]=>[1,4,5,3,2,6]
[5,4,1,6,2,3]=>[1,4,5,2,6,3]
[5,4,1,6,3,2]=>[1,4,5,2,3,6]
[5,4,2,1,3,6]=>[6,1,2,4,5,3]
[5,4,2,1,6,3]=>[1,2,4,5,3,6]
[5,4,2,3,1,6]=>[6,2,4,5,1,3]
[5,4,2,3,6,1]=>[2,4,5,3,1,6]
[5,4,2,6,1,3]=>[2,4,5,1,6,3]
[5,4,2,6,3,1]=>[2,4,5,1,3,6]
[5,4,3,1,2,6]=>[6,1,3,4,5,2]
[5,4,3,1,6,2]=>[1,3,4,5,2,6]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]
[5,4,3,2,6,1]=>[2,3,4,5,1,6]
[5,4,3,6,1,2]=>[3,4,5,1,6,2]
[5,4,3,6,2,1]=>[3,4,5,1,2,6]
[5,4,6,1,2,3]=>[4,5,1,6,3,2]
[5,4,6,1,3,2]=>[4,5,1,6,2,3]
[5,4,6,2,1,3]=>[4,5,1,2,6,3]
[5,4,6,2,3,1]=>[4,5,2,6,1,3]
[5,4,6,3,1,2]=>[4,5,1,3,6,2]
[5,4,6,3,2,1]=>[4,5,1,2,3,6]
[5,6,1,2,3,4]=>[5,1,6,4,3,2]
[5,6,1,2,4,3]=>[5,1,6,3,4,2]
[5,6,1,3,2,4]=>[5,1,6,4,2,3]
[5,6,1,3,4,2]=>[5,1,6,3,2,4]
[5,6,1,4,2,3]=>[5,1,6,2,4,3]
[5,6,1,4,3,2]=>[5,1,6,2,3,4]
[5,6,2,1,3,4]=>[5,1,2,6,4,3]
[5,6,2,1,4,3]=>[5,1,2,6,3,4]
[5,6,2,3,1,4]=>[5,2,6,4,1,3]
[5,6,2,3,4,1]=>[5,2,6,3,1,4]
[5,6,2,4,1,3]=>[5,2,6,1,4,3]
[5,6,2,4,3,1]=>[5,2,6,1,3,4]
[5,6,3,1,2,4]=>[5,1,3,6,4,2]
[5,6,3,1,4,2]=>[5,1,3,6,2,4]
[5,6,3,2,1,4]=>[5,1,2,3,6,4]
[5,6,3,2,4,1]=>[5,2,3,6,1,4]
[5,6,3,4,1,2]=>[5,3,6,1,4,2]
[5,6,3,4,2,1]=>[5,3,6,1,2,4]
[5,6,4,1,2,3]=>[5,1,4,6,3,2]
[5,6,4,1,3,2]=>[5,1,4,6,2,3]
[5,6,4,2,1,3]=>[5,1,2,4,6,3]
[5,6,4,2,3,1]=>[5,2,4,6,1,3]
[5,6,4,3,1,2]=>[5,1,3,4,6,2]
[5,6,4,3,2,1]=>[5,1,2,3,4,6]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]
[6,1,2,3,5,4]=>[1,6,4,5,3,2]
[6,1,2,4,3,5]=>[1,6,5,3,4,2]
[6,1,2,4,5,3]=>[1,6,4,3,5,2]
[6,1,2,5,3,4]=>[1,6,3,5,4,2]
[6,1,2,5,4,3]=>[1,6,3,4,5,2]
[6,1,3,2,4,5]=>[1,6,5,4,2,3]
[6,1,3,2,5,4]=>[1,6,4,5,2,3]
[6,1,3,4,2,5]=>[1,6,5,3,2,4]
[6,1,3,4,5,2]=>[1,6,4,3,2,5]
[6,1,3,5,2,4]=>[1,6,3,2,5,4]
[6,1,3,5,4,2]=>[1,6,3,2,4,5]
[6,1,4,2,3,5]=>[1,6,5,2,4,3]
[6,1,4,2,5,3]=>[1,6,2,4,3,5]
[6,1,4,3,2,5]=>[1,6,5,2,3,4]
[6,1,4,3,5,2]=>[1,6,3,4,2,5]
[6,1,4,5,2,3]=>[1,6,4,2,5,3]
[6,1,4,5,3,2]=>[1,6,4,2,3,5]
[6,1,5,2,3,4]=>[1,6,2,5,4,3]
[6,1,5,2,4,3]=>[1,6,2,5,3,4]
[6,1,5,3,2,4]=>[1,6,2,3,5,4]
[6,1,5,3,4,2]=>[1,6,3,5,2,4]
[6,1,5,4,2,3]=>[1,6,2,4,5,3]
[6,1,5,4,3,2]=>[1,6,2,3,4,5]
[6,2,1,3,4,5]=>[1,2,6,5,4,3]
[6,2,1,3,5,4]=>[1,2,6,4,5,3]
[6,2,1,4,3,5]=>[1,2,6,5,3,4]
[6,2,1,4,5,3]=>[1,2,6,4,3,5]
[6,2,1,5,3,4]=>[1,2,6,3,5,4]
[6,2,1,5,4,3]=>[1,2,6,3,4,5]
[6,2,3,1,4,5]=>[2,6,5,4,1,3]
[6,2,3,1,5,4]=>[2,6,4,5,1,3]
[6,2,3,4,1,5]=>[2,6,5,3,1,4]
[6,2,3,4,5,1]=>[2,6,4,3,1,5]
[6,2,3,5,1,4]=>[2,6,3,1,5,4]
[6,2,3,5,4,1]=>[2,6,3,1,4,5]
[6,2,4,1,3,5]=>[2,6,5,1,4,3]
[6,2,4,1,5,3]=>[2,6,1,4,3,5]
[6,2,4,3,1,5]=>[2,6,5,1,3,4]
[6,2,4,3,5,1]=>[2,6,3,4,1,5]
[6,2,4,5,1,3]=>[2,6,4,1,5,3]
[6,2,4,5,3,1]=>[2,6,4,1,3,5]
[6,2,5,1,3,4]=>[2,6,1,5,4,3]
[6,2,5,1,4,3]=>[2,6,1,5,3,4]
[6,2,5,3,1,4]=>[2,6,1,3,5,4]
[6,2,5,3,4,1]=>[2,6,3,5,1,4]
[6,2,5,4,1,3]=>[2,6,1,4,5,3]
[6,2,5,4,3,1]=>[2,6,1,3,4,5]
[6,3,1,2,4,5]=>[1,3,6,5,4,2]
[6,3,1,2,5,4]=>[1,3,6,4,5,2]
[6,3,1,4,2,5]=>[1,3,6,5,2,4]
[6,3,1,4,5,2]=>[1,3,6,4,2,5]
[6,3,1,5,2,4]=>[1,3,6,2,5,4]
[6,3,1,5,4,2]=>[1,3,6,2,4,5]
[6,3,2,1,4,5]=>[1,2,3,6,5,4]
[6,3,2,1,5,4]=>[1,2,3,6,4,5]
[6,3,2,4,1,5]=>[2,3,6,5,1,4]
[6,3,2,4,5,1]=>[2,3,6,4,1,5]
[6,3,2,5,1,4]=>[2,3,6,1,5,4]
[6,3,2,5,4,1]=>[2,3,6,1,4,5]
[6,3,4,1,2,5]=>[3,6,5,1,4,2]
[6,3,4,1,5,2]=>[3,6,1,4,2,5]
[6,3,4,2,1,5]=>[3,6,5,1,2,4]
[6,3,4,2,5,1]=>[3,6,2,4,1,5]
[6,3,4,5,1,2]=>[3,6,4,1,5,2]
[6,3,4,5,2,1]=>[3,6,4,1,2,5]
[6,3,5,1,2,4]=>[3,6,1,5,4,2]
[6,3,5,1,4,2]=>[3,6,1,5,2,4]
[6,3,5,2,1,4]=>[3,6,1,2,5,4]
[6,3,5,2,4,1]=>[3,6,2,5,1,4]
[6,3,5,4,1,2]=>[3,6,1,4,5,2]
[6,3,5,4,2,1]=>[3,6,1,2,4,5]
[6,4,1,2,3,5]=>[1,4,6,5,3,2]
[6,4,1,2,5,3]=>[1,4,6,3,5,2]
[6,4,1,3,2,5]=>[1,4,6,5,2,3]
[6,4,1,3,5,2]=>[1,4,6,3,2,5]
[6,4,1,5,2,3]=>[1,4,6,2,5,3]
[6,4,1,5,3,2]=>[1,4,6,2,3,5]
[6,4,2,1,3,5]=>[1,2,4,6,5,3]
[6,4,2,1,5,3]=>[1,2,4,6,3,5]
[6,4,2,3,1,5]=>[2,4,6,5,1,3]
[6,4,2,3,5,1]=>[2,4,6,3,1,5]
[6,4,2,5,1,3]=>[2,4,6,1,5,3]
[6,4,2,5,3,1]=>[2,4,6,1,3,5]
[6,4,3,1,2,5]=>[1,3,4,6,5,2]
[6,4,3,1,5,2]=>[1,3,4,6,2,5]
[6,4,3,2,1,5]=>[1,2,3,4,6,5]
[6,4,3,2,5,1]=>[2,3,4,6,1,5]
[6,4,3,5,1,2]=>[3,4,6,1,5,2]
[6,4,3,5,2,1]=>[3,4,6,1,2,5]
[6,4,5,1,2,3]=>[4,6,1,5,3,2]
[6,4,5,1,3,2]=>[4,6,1,5,2,3]
[6,4,5,2,1,3]=>[4,6,1,2,5,3]
[6,4,5,2,3,1]=>[4,6,2,5,1,3]
[6,4,5,3,1,2]=>[4,6,1,3,5,2]
[6,4,5,3,2,1]=>[4,6,1,2,3,5]
[6,5,1,2,3,4]=>[1,5,6,4,3,2]
[6,5,1,2,4,3]=>[1,5,6,3,4,2]
[6,5,1,3,2,4]=>[1,5,6,4,2,3]
[6,5,1,3,4,2]=>[1,5,6,3,2,4]
[6,5,1,4,2,3]=>[1,5,6,2,4,3]
[6,5,1,4,3,2]=>[1,5,6,2,3,4]
[6,5,2,1,3,4]=>[1,2,5,6,4,3]
[6,5,2,1,4,3]=>[1,2,5,6,3,4]
[6,5,2,3,1,4]=>[2,5,6,4,1,3]
[6,5,2,3,4,1]=>[2,5,6,3,1,4]
[6,5,2,4,1,3]=>[2,5,6,1,4,3]
[6,5,2,4,3,1]=>[2,5,6,1,3,4]
[6,5,3,1,2,4]=>[1,3,5,6,4,2]
[6,5,3,1,4,2]=>[1,3,5,6,2,4]
[6,5,3,2,1,4]=>[1,2,3,5,6,4]
[6,5,3,2,4,1]=>[2,3,5,6,1,4]
[6,5,3,4,1,2]=>[3,5,6,1,4,2]
[6,5,3,4,2,1]=>[3,5,6,1,2,4]
[6,5,4,1,2,3]=>[1,4,5,6,3,2]
[6,5,4,1,3,2]=>[1,4,5,6,2,3]
[6,5,4,2,1,3]=>[1,2,4,5,6,3]
[6,5,4,2,3,1]=>[2,4,5,6,1,3]
[6,5,4,3,1,2]=>[1,3,4,5,6,2]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]
[1,2,3,4,6,7,5]=>[6,5,7,4,3,2,1]
[1,2,3,4,7,5,6]=>[5,7,6,4,3,2,1]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]
[1,2,3,5,6,4,7]=>[7,5,4,6,3,2,1]
[1,2,3,5,6,7,4]=>[6,5,4,7,3,2,1]
[1,2,3,5,7,4,6]=>[5,4,7,6,3,2,1]
[1,2,3,5,7,6,4]=>[5,4,6,7,3,2,1]
[1,2,3,6,4,5,7]=>[7,4,6,5,3,2,1]
[1,2,3,6,4,7,5]=>[4,6,5,7,3,2,1]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]
[1,2,3,6,5,7,4]=>[5,6,4,7,3,2,1]
[1,2,3,6,7,4,5]=>[6,4,7,5,3,2,1]
[1,2,3,6,7,5,4]=>[6,4,5,7,3,2,1]
[1,2,3,7,4,5,6]=>[4,7,6,5,3,2,1]
[1,2,3,7,4,6,5]=>[4,7,5,6,3,2,1]
[1,2,3,7,5,4,6]=>[4,5,7,6,3,2,1]
[1,2,3,7,5,6,4]=>[5,7,4,6,3,2,1]
[1,2,3,7,6,4,5]=>[4,6,7,5,3,2,1]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]
[1,2,4,3,6,7,5]=>[6,5,7,3,4,2,1]
[1,2,4,3,7,5,6]=>[5,7,6,3,4,2,1]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]
[1,2,4,5,3,7,6]=>[6,7,4,3,5,2,1]
[1,2,4,5,6,3,7]=>[7,5,4,3,6,2,1]
[1,2,4,5,6,7,3]=>[6,5,4,3,7,2,1]
[1,2,4,5,7,3,6]=>[5,4,3,7,6,2,1]
[1,2,4,5,7,6,3]=>[5,4,3,6,7,2,1]
[1,2,4,6,3,5,7]=>[7,4,3,6,5,2,1]
[1,2,4,6,3,7,5]=>[4,3,6,5,7,2,1]
[1,2,4,6,5,3,7]=>[7,4,3,5,6,2,1]
[1,2,4,6,5,7,3]=>[5,6,4,3,7,2,1]
[1,2,4,6,7,3,5]=>[6,4,3,7,5,2,1]
[1,2,4,6,7,5,3]=>[6,4,3,5,7,2,1]
[1,2,4,7,3,5,6]=>[4,3,7,6,5,2,1]
[1,2,4,7,3,6,5]=>[4,3,7,5,6,2,1]
[1,2,4,7,5,3,6]=>[4,3,5,7,6,2,1]
[1,2,4,7,5,6,3]=>[5,7,4,3,6,2,1]
[1,2,4,7,6,3,5]=>[4,3,6,7,5,2,1]
[1,2,4,7,6,5,3]=>[4,3,5,6,7,2,1]
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]
[1,2,5,3,4,7,6]=>[6,7,3,5,4,2,1]
[1,2,5,3,6,4,7]=>[7,3,5,4,6,2,1]
[1,2,5,3,6,7,4]=>[6,3,5,4,7,2,1]
[1,2,5,3,7,4,6]=>[3,5,4,7,6,2,1]
[1,2,5,3,7,6,4]=>[3,5,4,6,7,2,1]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]
[1,2,5,4,6,3,7]=>[7,4,5,3,6,2,1]
[1,2,5,4,6,7,3]=>[6,4,5,3,7,2,1]
[1,2,5,4,7,3,6]=>[4,5,3,7,6,2,1]
[1,2,5,4,7,6,3]=>[4,5,3,6,7,2,1]
[1,2,5,6,3,4,7]=>[7,5,3,6,4,2,1]
[1,2,5,6,3,7,4]=>[5,3,6,4,7,2,1]
[1,2,5,6,4,3,7]=>[7,5,3,4,6,2,1]
[1,2,5,6,4,7,3]=>[5,4,6,3,7,2,1]
[1,2,5,6,7,3,4]=>[6,5,3,7,4,2,1]
[1,2,5,6,7,4,3]=>[6,5,3,4,7,2,1]
[1,2,5,7,3,4,6]=>[5,3,7,6,4,2,1]
[1,2,5,7,3,6,4]=>[5,3,7,4,6,2,1]
[1,2,5,7,4,3,6]=>[5,3,4,7,6,2,1]
[1,2,5,7,4,6,3]=>[5,4,7,3,6,2,1]
[1,2,5,7,6,3,4]=>[5,3,6,7,4,2,1]
[1,2,5,7,6,4,3]=>[5,3,4,6,7,2,1]
[1,2,6,3,4,5,7]=>[7,3,6,5,4,2,1]
[1,2,6,3,4,7,5]=>[3,6,5,7,4,2,1]
[1,2,6,3,5,4,7]=>[7,3,6,4,5,2,1]
[1,2,6,3,5,7,4]=>[3,6,5,4,7,2,1]
[1,2,6,3,7,4,5]=>[3,6,4,7,5,2,1]
[1,2,6,3,7,5,4]=>[3,6,4,5,7,2,1]
[1,2,6,4,3,5,7]=>[7,3,4,6,5,2,1]
[1,2,6,4,3,7,5]=>[3,4,6,5,7,2,1]
[1,2,6,4,5,3,7]=>[7,4,6,3,5,2,1]
[1,2,6,4,5,7,3]=>[4,6,5,3,7,2,1]
[1,2,6,4,7,3,5]=>[4,6,3,7,5,2,1]
[1,2,6,4,7,5,3]=>[4,6,3,5,7,2,1]
[1,2,6,5,3,4,7]=>[7,3,5,6,4,2,1]
[1,2,6,5,3,7,4]=>[3,5,6,4,7,2,1]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]
[1,2,6,5,4,7,3]=>[4,5,6,3,7,2,1]
[1,2,6,5,7,3,4]=>[5,6,3,7,4,2,1]
[1,2,6,5,7,4,3]=>[5,6,3,4,7,2,1]
[1,2,6,7,3,4,5]=>[6,3,7,5,4,2,1]
[1,2,6,7,3,5,4]=>[6,3,7,4,5,2,1]
[1,2,6,7,4,3,5]=>[6,3,4,7,5,2,1]
[1,2,6,7,4,5,3]=>[6,4,7,3,5,2,1]
[1,2,6,7,5,3,4]=>[6,3,5,7,4,2,1]
[1,2,6,7,5,4,3]=>[6,3,4,5,7,2,1]
[1,2,7,3,4,5,6]=>[3,7,6,5,4,2,1]
[1,2,7,3,4,6,5]=>[3,7,5,6,4,2,1]
[1,2,7,3,5,4,6]=>[3,7,6,4,5,2,1]
[1,2,7,3,5,6,4]=>[3,7,5,4,6,2,1]
[1,2,7,3,6,4,5]=>[3,7,4,6,5,2,1]
[1,2,7,3,6,5,4]=>[3,7,4,5,6,2,1]
[1,2,7,4,3,5,6]=>[3,4,7,6,5,2,1]
[1,2,7,4,3,6,5]=>[3,4,7,5,6,2,1]
[1,2,7,4,5,3,6]=>[4,7,6,3,5,2,1]
[1,2,7,4,5,6,3]=>[4,7,5,3,6,2,1]
[1,2,7,4,6,3,5]=>[4,7,3,6,5,2,1]
[1,2,7,4,6,5,3]=>[4,7,3,5,6,2,1]
[1,2,7,5,3,4,6]=>[3,5,7,6,4,2,1]
[1,2,7,5,3,6,4]=>[3,5,7,4,6,2,1]
[1,2,7,5,4,3,6]=>[3,4,5,7,6,2,1]
[1,2,7,5,4,6,3]=>[4,5,7,3,6,2,1]
[1,2,7,5,6,3,4]=>[5,7,3,6,4,2,1]
[1,2,7,5,6,4,3]=>[5,7,3,4,6,2,1]
[1,2,7,6,3,4,5]=>[3,6,7,5,4,2,1]
[1,2,7,6,3,5,4]=>[3,6,7,4,5,2,1]
[1,2,7,6,4,3,5]=>[3,4,6,7,5,2,1]
[1,2,7,6,4,5,3]=>[4,6,7,3,5,2,1]
[1,2,7,6,5,3,4]=>[3,5,6,7,4,2,1]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]
[1,3,2,4,6,7,5]=>[6,5,7,4,2,3,1]
[1,3,2,4,7,5,6]=>[5,7,6,4,2,3,1]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]
[1,3,2,5,6,4,7]=>[7,5,4,6,2,3,1]
[1,3,2,5,6,7,4]=>[6,5,4,7,2,3,1]
[1,3,2,5,7,4,6]=>[5,4,7,6,2,3,1]
[1,3,2,5,7,6,4]=>[5,4,6,7,2,3,1]
[1,3,2,6,4,5,7]=>[7,4,6,5,2,3,1]
[1,3,2,6,4,7,5]=>[4,6,5,7,2,3,1]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]
[1,3,2,6,5,7,4]=>[5,6,4,7,2,3,1]
[1,3,2,6,7,4,5]=>[6,4,7,5,2,3,1]
[1,3,2,6,7,5,4]=>[6,4,5,7,2,3,1]
[1,3,2,7,4,5,6]=>[4,7,6,5,2,3,1]
[1,3,2,7,4,6,5]=>[4,7,5,6,2,3,1]
[1,3,2,7,5,4,6]=>[4,5,7,6,2,3,1]
[1,3,2,7,5,6,4]=>[5,7,4,6,2,3,1]
[1,3,2,7,6,4,5]=>[4,6,7,5,2,3,1]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]
[1,3,4,2,5,6,7]=>[7,6,5,3,2,4,1]
[1,3,4,2,5,7,6]=>[6,7,5,3,2,4,1]
[1,3,4,2,6,5,7]=>[7,5,6,3,2,4,1]
[1,3,4,2,6,7,5]=>[6,5,7,3,2,4,1]
[1,3,4,2,7,5,6]=>[5,7,6,3,2,4,1]
[1,3,4,2,7,6,5]=>[5,6,7,3,2,4,1]
[1,3,4,5,2,6,7]=>[7,6,4,3,2,5,1]
[1,3,4,5,2,7,6]=>[6,7,4,3,2,5,1]
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]
[1,3,4,5,6,7,2]=>[6,5,4,3,2,7,1]
[1,3,4,5,7,2,6]=>[5,4,3,2,7,6,1]
[1,3,4,5,7,6,2]=>[5,4,3,2,6,7,1]
[1,3,4,6,2,5,7]=>[7,4,3,2,6,5,1]
[1,3,4,6,2,7,5]=>[4,3,2,6,5,7,1]
[1,3,4,6,5,2,7]=>[7,4,3,2,5,6,1]
[1,3,4,6,5,7,2]=>[5,6,4,3,2,7,1]
[1,3,4,6,7,2,5]=>[6,4,3,2,7,5,1]
[1,3,4,6,7,5,2]=>[6,4,3,2,5,7,1]
[1,3,4,7,2,5,6]=>[4,3,2,7,6,5,1]
[1,3,4,7,2,6,5]=>[4,3,2,7,5,6,1]
[1,3,4,7,5,2,6]=>[4,3,2,5,7,6,1]
[1,3,4,7,5,6,2]=>[5,7,4,3,2,6,1]
[1,3,4,7,6,2,5]=>[4,3,2,6,7,5,1]
[1,3,4,7,6,5,2]=>[4,3,2,5,6,7,1]
[1,3,5,2,4,6,7]=>[7,6,3,2,5,4,1]
[1,3,5,2,4,7,6]=>[6,7,3,2,5,4,1]
[1,3,5,2,6,4,7]=>[7,3,2,5,4,6,1]
[1,3,5,2,6,7,4]=>[6,3,2,5,4,7,1]
[1,3,5,2,7,4,6]=>[3,2,5,4,7,6,1]
[1,3,5,2,7,6,4]=>[3,2,5,4,6,7,1]
[1,3,5,4,2,6,7]=>[7,6,3,2,4,5,1]
[1,3,5,4,2,7,6]=>[6,7,3,2,4,5,1]
[1,3,5,4,6,2,7]=>[7,4,5,3,2,6,1]
[1,3,5,4,6,7,2]=>[6,4,5,3,2,7,1]
[1,3,5,4,7,2,6]=>[4,5,3,2,7,6,1]
[1,3,5,4,7,6,2]=>[4,5,3,2,6,7,1]
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]
[1,3,5,6,2,7,4]=>[5,3,2,6,4,7,1]
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]
[1,3,5,6,4,7,2]=>[5,4,6,3,2,7,1]
[1,3,5,6,7,2,4]=>[6,5,3,2,7,4,1]
[1,3,5,6,7,4,2]=>[6,5,3,2,4,7,1]
[1,3,5,7,2,4,6]=>[5,3,2,7,6,4,1]
[1,3,5,7,2,6,4]=>[5,3,2,7,4,6,1]
[1,3,5,7,4,2,6]=>[5,3,2,4,7,6,1]
[1,3,5,7,4,6,2]=>[5,4,7,3,2,6,1]
[1,3,5,7,6,2,4]=>[5,3,2,6,7,4,1]
[1,3,5,7,6,4,2]=>[5,3,2,4,6,7,1]
[1,3,6,2,4,5,7]=>[7,3,2,6,5,4,1]
[1,3,6,2,4,7,5]=>[3,2,6,5,7,4,1]
[1,3,6,2,5,4,7]=>[7,3,2,6,4,5,1]
[1,3,6,2,5,7,4]=>[3,2,6,5,4,7,1]
[1,3,6,2,7,4,5]=>[3,2,6,4,7,5,1]
[1,3,6,2,7,5,4]=>[3,2,6,4,5,7,1]
[1,3,6,4,2,5,7]=>[7,3,2,4,6,5,1]
[1,3,6,4,2,7,5]=>[3,2,4,6,5,7,1]
[1,3,6,4,5,2,7]=>[7,4,6,3,2,5,1]
[1,3,6,4,5,7,2]=>[4,6,5,3,2,7,1]
[1,3,6,4,7,2,5]=>[4,6,3,2,7,5,1]
[1,3,6,4,7,5,2]=>[4,6,3,2,5,7,1]
[1,3,6,5,2,4,7]=>[7,3,2,5,6,4,1]
[1,3,6,5,2,7,4]=>[3,2,5,6,4,7,1]
[1,3,6,5,4,2,7]=>[7,3,2,4,5,6,1]
[1,3,6,5,4,7,2]=>[4,5,6,3,2,7,1]
[1,3,6,5,7,2,4]=>[5,6,3,2,7,4,1]
[1,3,6,5,7,4,2]=>[5,6,3,2,4,7,1]
[1,3,6,7,2,4,5]=>[6,3,2,7,5,4,1]
[1,3,6,7,2,5,4]=>[6,3,2,7,4,5,1]
[1,3,6,7,4,2,5]=>[6,3,2,4,7,5,1]
[1,3,6,7,4,5,2]=>[6,4,7,3,2,5,1]
[1,3,6,7,5,2,4]=>[6,3,2,5,7,4,1]
[1,3,6,7,5,4,2]=>[6,3,2,4,5,7,1]
[1,3,7,2,4,5,6]=>[3,2,7,6,5,4,1]
[1,3,7,2,4,6,5]=>[3,2,7,5,6,4,1]
[1,3,7,2,5,4,6]=>[3,2,7,6,4,5,1]
[1,3,7,2,5,6,4]=>[3,2,7,5,4,6,1]
[1,3,7,2,6,4,5]=>[3,2,7,4,6,5,1]
[1,3,7,2,6,5,4]=>[3,2,7,4,5,6,1]
[1,3,7,4,2,5,6]=>[3,2,4,7,6,5,1]
[1,3,7,4,2,6,5]=>[3,2,4,7,5,6,1]
[1,3,7,4,5,2,6]=>[4,7,6,3,2,5,1]
[1,3,7,4,5,6,2]=>[4,7,5,3,2,6,1]
[1,3,7,4,6,2,5]=>[4,7,3,2,6,5,1]
[1,3,7,4,6,5,2]=>[4,7,3,2,5,6,1]
[1,3,7,5,2,4,6]=>[3,2,5,7,6,4,1]
[1,3,7,5,2,6,4]=>[3,2,5,7,4,6,1]
[1,3,7,5,4,2,6]=>[3,2,4,5,7,6,1]
[1,3,7,5,4,6,2]=>[4,5,7,3,2,6,1]
[1,3,7,5,6,2,4]=>[5,7,3,2,6,4,1]
[1,3,7,5,6,4,2]=>[5,7,3,2,4,6,1]
[1,3,7,6,2,4,5]=>[3,2,6,7,5,4,1]
[1,3,7,6,2,5,4]=>[3,2,6,7,4,5,1]
[1,3,7,6,4,2,5]=>[3,2,4,6,7,5,1]
[1,3,7,6,4,5,2]=>[4,6,7,3,2,5,1]
[1,3,7,6,5,2,4]=>[3,2,5,6,7,4,1]
[1,3,7,6,5,4,2]=>[3,2,4,5,6,7,1]
[1,4,2,3,5,6,7]=>[7,6,5,2,4,3,1]
[1,4,2,3,5,7,6]=>[6,7,5,2,4,3,1]
[1,4,2,3,6,5,7]=>[7,5,6,2,4,3,1]
[1,4,2,3,6,7,5]=>[6,5,7,2,4,3,1]
[1,4,2,3,7,5,6]=>[5,7,6,2,4,3,1]
[1,4,2,3,7,6,5]=>[5,6,7,2,4,3,1]
[1,4,2,5,3,6,7]=>[7,6,2,4,3,5,1]
[1,4,2,5,3,7,6]=>[6,7,2,4,3,5,1]
[1,4,2,5,6,3,7]=>[7,5,2,4,3,6,1]
[1,4,2,5,6,7,3]=>[6,5,2,4,3,7,1]
[1,4,2,5,7,3,6]=>[5,2,4,3,7,6,1]
[1,4,2,5,7,6,3]=>[5,2,4,3,6,7,1]
[1,4,2,6,3,5,7]=>[7,2,4,3,6,5,1]
[1,4,2,6,3,7,5]=>[2,4,3,6,5,7,1]
[1,4,2,6,5,3,7]=>[7,2,4,3,5,6,1]
[1,4,2,6,5,7,3]=>[5,6,2,4,3,7,1]
[1,4,2,6,7,3,5]=>[6,2,4,3,7,5,1]
[1,4,2,6,7,5,3]=>[6,2,4,3,5,7,1]
[1,4,2,7,3,5,6]=>[2,4,3,7,6,5,1]
[1,4,2,7,3,6,5]=>[2,4,3,7,5,6,1]
[1,4,2,7,5,3,6]=>[2,4,3,5,7,6,1]
[1,4,2,7,5,6,3]=>[5,7,2,4,3,6,1]
[1,4,2,7,6,3,5]=>[2,4,3,6,7,5,1]
[1,4,2,7,6,5,3]=>[2,4,3,5,6,7,1]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]
[1,4,3,2,6,7,5]=>[6,5,7,2,3,4,1]
[1,4,3,2,7,5,6]=>[5,7,6,2,3,4,1]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]
[1,4,3,5,2,6,7]=>[7,6,3,4,2,5,1]
[1,4,3,5,2,7,6]=>[6,7,3,4,2,5,1]
[1,4,3,5,6,2,7]=>[7,5,3,4,2,6,1]
[1,4,3,5,6,7,2]=>[6,5,3,4,2,7,1]
[1,4,3,5,7,2,6]=>[5,3,4,2,7,6,1]
[1,4,3,5,7,6,2]=>[5,3,4,2,6,7,1]
[1,4,3,6,2,5,7]=>[7,3,4,2,6,5,1]
[1,4,3,6,2,7,5]=>[3,4,2,6,5,7,1]
[1,4,3,6,5,2,7]=>[7,3,4,2,5,6,1]
[1,4,3,6,5,7,2]=>[5,6,3,4,2,7,1]
[1,4,3,6,7,2,5]=>[6,3,4,2,7,5,1]
[1,4,3,6,7,5,2]=>[6,3,4,2,5,7,1]
[1,4,3,7,2,5,6]=>[3,4,2,7,6,5,1]
[1,4,3,7,2,6,5]=>[3,4,2,7,5,6,1]
[1,4,3,7,5,2,6]=>[3,4,2,5,7,6,1]
[1,4,3,7,5,6,2]=>[5,7,3,4,2,6,1]
[1,4,3,7,6,2,5]=>[3,4,2,6,7,5,1]
[1,4,3,7,6,5,2]=>[3,4,2,5,6,7,1]
[1,4,5,2,3,6,7]=>[7,6,4,2,5,3,1]
[1,4,5,2,3,7,6]=>[6,7,4,2,5,3,1]
[1,4,5,2,6,3,7]=>[7,4,2,5,3,6,1]
[1,4,5,2,6,7,3]=>[6,4,2,5,3,7,1]
[1,4,5,2,7,3,6]=>[4,2,5,3,7,6,1]
[1,4,5,2,7,6,3]=>[4,2,5,3,6,7,1]
[1,4,5,3,2,6,7]=>[7,6,4,2,3,5,1]
[1,4,5,3,2,7,6]=>[6,7,4,2,3,5,1]
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]
[1,4,5,3,6,7,2]=>[6,4,3,5,2,7,1]
[1,4,5,3,7,2,6]=>[4,3,5,2,7,6,1]
[1,4,5,3,7,6,2]=>[4,3,5,2,6,7,1]
[1,4,5,6,2,3,7]=>[7,5,4,2,6,3,1]
[1,4,5,6,2,7,3]=>[5,4,2,6,3,7,1]
[1,4,5,6,3,2,7]=>[7,5,4,2,3,6,1]
[1,4,5,6,3,7,2]=>[5,4,3,6,2,7,1]
[1,4,5,6,7,2,3]=>[6,5,4,2,7,3,1]
[1,4,5,6,7,3,2]=>[6,5,4,2,3,7,1]
[1,4,5,7,2,3,6]=>[5,4,2,7,6,3,1]
[1,4,5,7,2,6,3]=>[5,4,2,7,3,6,1]
[1,4,5,7,3,2,6]=>[5,4,2,3,7,6,1]
[1,4,5,7,3,6,2]=>[5,4,3,7,2,6,1]
[1,4,5,7,6,2,3]=>[5,4,2,6,7,3,1]
[1,4,5,7,6,3,2]=>[5,4,2,3,6,7,1]
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]
[1,4,6,2,3,7,5]=>[4,2,6,5,7,3,1]
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]
[1,4,6,2,5,7,3]=>[4,2,6,5,3,7,1]
[1,4,6,2,7,3,5]=>[4,2,6,3,7,5,1]
[1,4,6,2,7,5,3]=>[4,2,6,3,5,7,1]
[1,4,6,3,2,5,7]=>[7,4,2,3,6,5,1]
[1,4,6,3,2,7,5]=>[4,2,3,6,5,7,1]
[1,4,6,3,5,2,7]=>[7,4,3,6,2,5,1]
[1,4,6,3,5,7,2]=>[4,3,6,5,2,7,1]
[1,4,6,3,7,2,5]=>[4,3,6,2,7,5,1]
[1,4,6,3,7,5,2]=>[4,3,6,2,5,7,1]
[1,4,6,5,2,3,7]=>[7,4,2,5,6,3,1]
[1,4,6,5,2,7,3]=>[4,2,5,6,3,7,1]
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]
[1,4,6,5,3,7,2]=>[4,3,5,6,2,7,1]
[1,4,6,5,7,2,3]=>[5,6,4,2,7,3,1]
[1,4,6,5,7,3,2]=>[5,6,4,2,3,7,1]
[1,4,6,7,2,3,5]=>[6,4,2,7,5,3,1]
[1,4,6,7,2,5,3]=>[6,4,2,7,3,5,1]
[1,4,6,7,3,2,5]=>[6,4,2,3,7,5,1]
[1,4,6,7,3,5,2]=>[6,4,3,7,2,5,1]
[1,4,6,7,5,2,3]=>[6,4,2,5,7,3,1]
[1,4,6,7,5,3,2]=>[6,4,2,3,5,7,1]
[1,4,7,2,3,5,6]=>[4,2,7,6,5,3,1]
[1,4,7,2,3,6,5]=>[4,2,7,5,6,3,1]
[1,4,7,2,5,3,6]=>[4,2,7,6,3,5,1]
[1,4,7,2,5,6,3]=>[4,2,7,5,3,6,1]
[1,4,7,2,6,3,5]=>[4,2,7,3,6,5,1]
[1,4,7,2,6,5,3]=>[4,2,7,3,5,6,1]
[1,4,7,3,2,5,6]=>[4,2,3,7,6,5,1]
[1,4,7,3,2,6,5]=>[4,2,3,7,5,6,1]
[1,4,7,3,5,2,6]=>[4,3,7,6,2,5,1]
[1,4,7,3,5,6,2]=>[4,3,7,5,2,6,1]
[1,4,7,3,6,2,5]=>[4,3,7,2,6,5,1]
[1,4,7,3,6,5,2]=>[4,3,7,2,5,6,1]
[1,4,7,5,2,3,6]=>[4,2,5,7,6,3,1]
[1,4,7,5,2,6,3]=>[4,2,5,7,3,6,1]
[1,4,7,5,3,2,6]=>[4,2,3,5,7,6,1]
[1,4,7,5,3,6,2]=>[4,3,5,7,2,6,1]
[1,4,7,5,6,2,3]=>[5,7,4,2,6,3,1]
[1,4,7,5,6,3,2]=>[5,7,4,2,3,6,1]
[1,4,7,6,2,3,5]=>[4,2,6,7,5,3,1]
[1,4,7,6,2,5,3]=>[4,2,6,7,3,5,1]
[1,4,7,6,3,2,5]=>[4,2,3,6,7,5,1]
[1,4,7,6,3,5,2]=>[4,3,6,7,2,5,1]
[1,4,7,6,5,2,3]=>[4,2,5,6,7,3,1]
[1,4,7,6,5,3,2]=>[4,2,3,5,6,7,1]
[1,5,2,3,4,6,7]=>[7,6,2,5,4,3,1]
[1,5,2,3,4,7,6]=>[6,7,2,5,4,3,1]
[1,5,2,3,6,4,7]=>[7,2,5,4,6,3,1]
[1,5,2,3,6,7,4]=>[6,2,5,4,7,3,1]
[1,5,2,3,7,4,6]=>[2,5,4,7,6,3,1]
[1,5,2,3,7,6,4]=>[2,5,4,6,7,3,1]
[1,5,2,4,3,6,7]=>[7,6,2,5,3,4,1]
[1,5,2,4,3,7,6]=>[6,7,2,5,3,4,1]
[1,5,2,4,6,3,7]=>[7,2,5,4,3,6,1]
[1,5,2,4,6,7,3]=>[6,2,5,4,3,7,1]
[1,5,2,4,7,3,6]=>[2,5,4,3,7,6,1]
[1,5,2,4,7,6,3]=>[2,5,4,3,6,7,1]
[1,5,2,6,3,4,7]=>[7,2,5,3,6,4,1]
[1,5,2,6,3,7,4]=>[2,5,3,6,4,7,1]
[1,5,2,6,4,3,7]=>[7,2,5,3,4,6,1]
[1,5,2,6,4,7,3]=>[2,5,4,6,3,7,1]
[1,5,2,6,7,3,4]=>[6,2,5,3,7,4,1]
[1,5,2,6,7,4,3]=>[6,2,5,3,4,7,1]
[1,5,2,7,3,4,6]=>[2,5,3,7,6,4,1]
[1,5,2,7,3,6,4]=>[2,5,3,7,4,6,1]
[1,5,2,7,4,3,6]=>[2,5,3,4,7,6,1]
[1,5,2,7,4,6,3]=>[2,5,4,7,3,6,1]
[1,5,2,7,6,3,4]=>[2,5,3,6,7,4,1]
[1,5,2,7,6,4,3]=>[2,5,3,4,6,7,1]
[1,5,3,2,4,6,7]=>[7,6,2,3,5,4,1]
[1,5,3,2,4,7,6]=>[6,7,2,3,5,4,1]
[1,5,3,2,6,4,7]=>[7,2,3,5,4,6,1]
[1,5,3,2,6,7,4]=>[6,2,3,5,4,7,1]
[1,5,3,2,7,4,6]=>[2,3,5,4,7,6,1]
[1,5,3,2,7,6,4]=>[2,3,5,4,6,7,1]
[1,5,3,4,2,6,7]=>[7,6,3,5,2,4,1]
[1,5,3,4,2,7,6]=>[6,7,3,5,2,4,1]
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]
[1,5,3,4,6,7,2]=>[6,3,5,4,2,7,1]
[1,5,3,4,7,2,6]=>[3,5,4,2,7,6,1]
[1,5,3,4,7,6,2]=>[3,5,4,2,6,7,1]
[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]
[1,5,3,6,2,7,4]=>[3,5,2,6,4,7,1]
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]
[1,5,3,6,4,7,2]=>[3,5,4,6,2,7,1]
[1,5,3,6,7,2,4]=>[6,3,5,2,7,4,1]
[1,5,3,6,7,4,2]=>[6,3,5,2,4,7,1]
[1,5,3,7,2,4,6]=>[3,5,2,7,6,4,1]
[1,5,3,7,2,6,4]=>[3,5,2,7,4,6,1]
[1,5,3,7,4,2,6]=>[3,5,2,4,7,6,1]
[1,5,3,7,4,6,2]=>[3,5,4,7,2,6,1]
[1,5,3,7,6,2,4]=>[3,5,2,6,7,4,1]
[1,5,3,7,6,4,2]=>[3,5,2,4,6,7,1]
[1,5,4,2,3,6,7]=>[7,6,2,4,5,3,1]
[1,5,4,2,3,7,6]=>[6,7,2,4,5,3,1]
[1,5,4,2,6,3,7]=>[7,2,4,5,3,6,1]
[1,5,4,2,6,7,3]=>[6,2,4,5,3,7,1]
[1,5,4,2,7,3,6]=>[2,4,5,3,7,6,1]
[1,5,4,2,7,6,3]=>[2,4,5,3,6,7,1]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]
[1,5,4,3,6,7,2]=>[6,3,4,5,2,7,1]
[1,5,4,3,7,2,6]=>[3,4,5,2,7,6,1]
[1,5,4,3,7,6,2]=>[3,4,5,2,6,7,1]
[1,5,4,6,2,3,7]=>[7,4,5,2,6,3,1]
[1,5,4,6,2,7,3]=>[4,5,2,6,3,7,1]
[1,5,4,6,3,2,7]=>[7,4,5,2,3,6,1]
[1,5,4,6,3,7,2]=>[4,5,3,6,2,7,1]
[1,5,4,6,7,2,3]=>[6,4,5,2,7,3,1]
[1,5,4,6,7,3,2]=>[6,4,5,2,3,7,1]
[1,5,4,7,2,3,6]=>[4,5,2,7,6,3,1]
[1,5,4,7,2,6,3]=>[4,5,2,7,3,6,1]
[1,5,4,7,3,2,6]=>[4,5,2,3,7,6,1]
[1,5,4,7,3,6,2]=>[4,5,3,7,2,6,1]
[1,5,4,7,6,2,3]=>[4,5,2,6,7,3,1]
[1,5,4,7,6,3,2]=>[4,5,2,3,6,7,1]
[1,5,6,2,3,4,7]=>[7,5,2,6,4,3,1]
[1,5,6,2,3,7,4]=>[5,2,6,4,7,3,1]
[1,5,6,2,4,3,7]=>[7,5,2,6,3,4,1]
[1,5,6,2,4,7,3]=>[5,2,6,4,3,7,1]
[1,5,6,2,7,3,4]=>[5,2,6,3,7,4,1]
[1,5,6,2,7,4,3]=>[5,2,6,3,4,7,1]
[1,5,6,3,2,4,7]=>[7,5,2,3,6,4,1]
[1,5,6,3,2,7,4]=>[5,2,3,6,4,7,1]
[1,5,6,3,4,2,7]=>[7,5,3,6,2,4,1]
[1,5,6,3,4,7,2]=>[5,3,6,4,2,7,1]
[1,5,6,3,7,2,4]=>[5,3,6,2,7,4,1]
[1,5,6,3,7,4,2]=>[5,3,6,2,4,7,1]
[1,5,6,4,2,3,7]=>[7,5,2,4,6,3,1]
[1,5,6,4,2,7,3]=>[5,2,4,6,3,7,1]
[1,5,6,4,3,2,7]=>[7,5,2,3,4,6,1]
[1,5,6,4,3,7,2]=>[5,3,4,6,2,7,1]
[1,5,6,4,7,2,3]=>[5,4,6,2,7,3,1]
[1,5,6,4,7,3,2]=>[5,4,6,2,3,7,1]
[1,5,6,7,2,3,4]=>[6,5,2,7,4,3,1]
[1,5,6,7,2,4,3]=>[6,5,2,7,3,4,1]
[1,5,6,7,3,2,4]=>[6,5,2,3,7,4,1]
[1,5,6,7,3,4,2]=>[6,5,3,7,2,4,1]
[1,5,6,7,4,2,3]=>[6,5,2,4,7,3,1]
[1,5,6,7,4,3,2]=>[6,5,2,3,4,7,1]
[1,5,7,2,3,4,6]=>[5,2,7,6,4,3,1]
[1,5,7,2,3,6,4]=>[5,2,7,4,6,3,1]
[1,5,7,2,4,3,6]=>[5,2,7,6,3,4,1]
[1,5,7,2,4,6,3]=>[5,2,7,4,3,6,1]
[1,5,7,2,6,3,4]=>[5,2,7,3,6,4,1]
[1,5,7,2,6,4,3]=>[5,2,7,3,4,6,1]
[1,5,7,3,2,4,6]=>[5,2,3,7,6,4,1]
[1,5,7,3,2,6,4]=>[5,2,3,7,4,6,1]
[1,5,7,3,4,2,6]=>[5,3,7,6,2,4,1]
[1,5,7,3,4,6,2]=>[5,3,7,4,2,6,1]
[1,5,7,3,6,2,4]=>[5,3,7,2,6,4,1]
[1,5,7,3,6,4,2]=>[5,3,7,2,4,6,1]
[1,5,7,4,2,3,6]=>[5,2,4,7,6,3,1]
[1,5,7,4,2,6,3]=>[5,2,4,7,3,6,1]
[1,5,7,4,3,2,6]=>[5,2,3,4,7,6,1]
[1,5,7,4,3,6,2]=>[5,3,4,7,2,6,1]
[1,5,7,4,6,2,3]=>[5,4,7,2,6,3,1]
[1,5,7,4,6,3,2]=>[5,4,7,2,3,6,1]
[1,5,7,6,2,3,4]=>[5,2,6,7,4,3,1]
[1,5,7,6,2,4,3]=>[5,2,6,7,3,4,1]
[1,5,7,6,3,2,4]=>[5,2,3,6,7,4,1]
[1,5,7,6,3,4,2]=>[5,3,6,7,2,4,1]
[1,5,7,6,4,2,3]=>[5,2,4,6,7,3,1]
[1,5,7,6,4,3,2]=>[5,2,3,4,6,7,1]
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]
[1,6,2,3,4,7,5]=>[2,6,5,7,4,3,1]
[1,6,2,3,5,4,7]=>[7,2,6,4,5,3,1]
[1,6,2,3,5,7,4]=>[2,6,5,4,7,3,1]
[1,6,2,3,7,4,5]=>[2,6,4,7,5,3,1]
[1,6,2,3,7,5,4]=>[2,6,4,5,7,3,1]
[1,6,2,4,3,5,7]=>[7,2,6,5,3,4,1]
[1,6,2,4,3,7,5]=>[2,6,5,7,3,4,1]
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]
[1,6,2,4,5,7,3]=>[2,6,5,4,3,7,1]
[1,6,2,4,7,3,5]=>[2,6,4,3,7,5,1]
[1,6,2,4,7,5,3]=>[2,6,4,3,5,7,1]
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]
[1,6,2,5,3,7,4]=>[2,6,3,5,4,7,1]
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]
[1,6,2,5,4,7,3]=>[2,6,4,5,3,7,1]
[1,6,2,5,7,3,4]=>[2,6,5,3,7,4,1]
[1,6,2,5,7,4,3]=>[2,6,5,3,4,7,1]
[1,6,2,7,3,4,5]=>[2,6,3,7,5,4,1]
[1,6,2,7,3,5,4]=>[2,6,3,7,4,5,1]
[1,6,2,7,4,3,5]=>[2,6,3,4,7,5,1]
[1,6,2,7,4,5,3]=>[2,6,4,7,3,5,1]
[1,6,2,7,5,3,4]=>[2,6,3,5,7,4,1]
[1,6,2,7,5,4,3]=>[2,6,3,4,5,7,1]
[1,6,3,2,4,5,7]=>[7,2,3,6,5,4,1]
[1,6,3,2,4,7,5]=>[2,3,6,5,7,4,1]
[1,6,3,2,5,4,7]=>[7,2,3,6,4,5,1]
[1,6,3,2,5,7,4]=>[2,3,6,5,4,7,1]
[1,6,3,2,7,4,5]=>[2,3,6,4,7,5,1]
[1,6,3,2,7,5,4]=>[2,3,6,4,5,7,1]
[1,6,3,4,2,5,7]=>[7,3,6,5,2,4,1]
[1,6,3,4,2,7,5]=>[3,6,5,7,2,4,1]
[1,6,3,4,5,2,7]=>[7,3,6,4,2,5,1]
[1,6,3,4,5,7,2]=>[3,6,5,4,2,7,1]
[1,6,3,4,7,2,5]=>[3,6,4,2,7,5,1]
[1,6,3,4,7,5,2]=>[3,6,4,2,5,7,1]
[1,6,3,5,2,4,7]=>[7,3,6,2,5,4,1]
[1,6,3,5,2,7,4]=>[3,6,2,5,4,7,1]
[1,6,3,5,4,2,7]=>[7,3,6,2,4,5,1]
[1,6,3,5,4,7,2]=>[3,6,4,5,2,7,1]
[1,6,3,5,7,2,4]=>[3,6,5,2,7,4,1]
[1,6,3,5,7,4,2]=>[3,6,5,2,4,7,1]
[1,6,3,7,2,4,5]=>[3,6,2,7,5,4,1]
[1,6,3,7,2,5,4]=>[3,6,2,7,4,5,1]
[1,6,3,7,4,2,5]=>[3,6,2,4,7,5,1]
[1,6,3,7,4,5,2]=>[3,6,4,7,2,5,1]
[1,6,3,7,5,2,4]=>[3,6,2,5,7,4,1]
[1,6,3,7,5,4,2]=>[3,6,2,4,5,7,1]
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]
[1,6,4,2,3,7,5]=>[2,4,6,5,7,3,1]
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]
[1,6,4,2,5,7,3]=>[2,4,6,5,3,7,1]
[1,6,4,2,7,3,5]=>[2,4,6,3,7,5,1]
[1,6,4,2,7,5,3]=>[2,4,6,3,5,7,1]
[1,6,4,3,2,5,7]=>[7,2,3,4,6,5,1]
[1,6,4,3,2,7,5]=>[2,3,4,6,5,7,1]
[1,6,4,3,5,2,7]=>[7,3,4,6,2,5,1]
[1,6,4,3,5,7,2]=>[3,4,6,5,2,7,1]
[1,6,4,3,7,2,5]=>[3,4,6,2,7,5,1]
[1,6,4,3,7,5,2]=>[3,4,6,2,5,7,1]
[1,6,4,5,2,3,7]=>[7,4,6,2,5,3,1]
[1,6,4,5,2,7,3]=>[4,6,2,5,3,7,1]
[1,6,4,5,3,2,7]=>[7,4,6,2,3,5,1]
[1,6,4,5,3,7,2]=>[4,6,3,5,2,7,1]
[1,6,4,5,7,2,3]=>[4,6,5,2,7,3,1]
[1,6,4,5,7,3,2]=>[4,6,5,2,3,7,1]
[1,6,4,7,2,3,5]=>[4,6,2,7,5,3,1]
[1,6,4,7,2,5,3]=>[4,6,2,7,3,5,1]
[1,6,4,7,3,2,5]=>[4,6,2,3,7,5,1]
[1,6,4,7,3,5,2]=>[4,6,3,7,2,5,1]
[1,6,4,7,5,2,3]=>[4,6,2,5,7,3,1]
[1,6,4,7,5,3,2]=>[4,6,2,3,5,7,1]
[1,6,5,2,3,4,7]=>[7,2,5,6,4,3,1]
[1,6,5,2,3,7,4]=>[2,5,6,4,7,3,1]
[1,6,5,2,4,3,7]=>[7,2,5,6,3,4,1]
[1,6,5,2,4,7,3]=>[2,5,6,4,3,7,1]
[1,6,5,2,7,3,4]=>[2,5,6,3,7,4,1]
[1,6,5,2,7,4,3]=>[2,5,6,3,4,7,1]
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]
[1,6,5,3,2,7,4]=>[2,3,5,6,4,7,1]
[1,6,5,3,4,2,7]=>[7,3,5,6,2,4,1]
[1,6,5,3,4,7,2]=>[3,5,6,4,2,7,1]
[1,6,5,3,7,2,4]=>[3,5,6,2,7,4,1]
[1,6,5,3,7,4,2]=>[3,5,6,2,4,7,1]
[1,6,5,4,2,3,7]=>[7,2,4,5,6,3,1]
[1,6,5,4,2,7,3]=>[2,4,5,6,3,7,1]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]
[1,6,5,4,3,7,2]=>[3,4,5,6,2,7,1]
[1,6,5,4,7,2,3]=>[4,5,6,2,7,3,1]
[1,6,5,4,7,3,2]=>[4,5,6,2,3,7,1]
[1,6,5,7,2,3,4]=>[5,6,2,7,4,3,1]
[1,6,5,7,2,4,3]=>[5,6,2,7,3,4,1]
[1,6,5,7,3,2,4]=>[5,6,2,3,7,4,1]
[1,6,5,7,3,4,2]=>[5,6,3,7,2,4,1]
[1,6,5,7,4,2,3]=>[5,6,2,4,7,3,1]
[1,6,5,7,4,3,2]=>[5,6,2,3,4,7,1]
[1,6,7,2,3,4,5]=>[6,2,7,5,4,3,1]
[1,6,7,2,3,5,4]=>[6,2,7,4,5,3,1]
[1,6,7,2,4,3,5]=>[6,2,7,5,3,4,1]
[1,6,7,2,4,5,3]=>[6,2,7,4,3,5,1]
[1,6,7,2,5,3,4]=>[6,2,7,3,5,4,1]
[1,6,7,2,5,4,3]=>[6,2,7,3,4,5,1]
[1,6,7,3,2,4,5]=>[6,2,3,7,5,4,1]
[1,6,7,3,2,5,4]=>[6,2,3,7,4,5,1]
[1,6,7,3,4,2,5]=>[6,3,7,5,2,4,1]
[1,6,7,3,4,5,2]=>[6,3,7,4,2,5,1]
[1,6,7,3,5,2,4]=>[6,3,7,2,5,4,1]
[1,6,7,3,5,4,2]=>[6,3,7,2,4,5,1]
[1,6,7,4,2,3,5]=>[6,2,4,7,5,3,1]
[1,6,7,4,2,5,3]=>[6,2,4,7,3,5,1]
[1,6,7,4,3,2,5]=>[6,2,3,4,7,5,1]
[1,6,7,4,3,5,2]=>[6,3,4,7,2,5,1]
[1,6,7,4,5,2,3]=>[6,4,7,2,5,3,1]
[1,6,7,4,5,3,2]=>[6,4,7,2,3,5,1]
[1,6,7,5,2,3,4]=>[6,2,5,7,4,3,1]
[1,6,7,5,2,4,3]=>[6,2,5,7,3,4,1]
[1,6,7,5,3,2,4]=>[6,2,3,5,7,4,1]
[1,6,7,5,3,4,2]=>[6,3,5,7,2,4,1]
[1,6,7,5,4,2,3]=>[6,2,4,5,7,3,1]
[1,6,7,5,4,3,2]=>[6,2,3,4,5,7,1]
[1,7,2,3,4,5,6]=>[2,7,6,5,4,3,1]
[1,7,2,3,4,6,5]=>[2,7,5,6,4,3,1]
[1,7,2,3,5,4,6]=>[2,7,6,4,5,3,1]
[1,7,2,3,5,6,4]=>[2,7,5,4,6,3,1]
[1,7,2,3,6,4,5]=>[2,7,4,6,5,3,1]
[1,7,2,3,6,5,4]=>[2,7,4,5,6,3,1]
[1,7,2,4,3,5,6]=>[2,7,6,5,3,4,1]
[1,7,2,4,3,6,5]=>[2,7,5,6,3,4,1]
[1,7,2,4,5,3,6]=>[2,7,6,4,3,5,1]
[1,7,2,4,5,6,3]=>[2,7,5,4,3,6,1]
[1,7,2,4,6,3,5]=>[2,7,4,3,6,5,1]
[1,7,2,4,6,5,3]=>[2,7,4,3,5,6,1]
[1,7,2,5,3,4,6]=>[2,7,6,3,5,4,1]
[1,7,2,5,3,6,4]=>[2,7,3,5,4,6,1]
[1,7,2,5,4,3,6]=>[2,7,6,3,4,5,1]
[1,7,2,5,4,6,3]=>[2,7,4,5,3,6,1]
[1,7,2,5,6,3,4]=>[2,7,5,3,6,4,1]
[1,7,2,5,6,4,3]=>[2,7,5,3,4,6,1]
[1,7,2,6,3,4,5]=>[2,7,3,6,5,4,1]
[1,7,2,6,3,5,4]=>[2,7,3,6,4,5,1]
[1,7,2,6,4,3,5]=>[2,7,3,4,6,5,1]
[1,7,2,6,4,5,3]=>[2,7,4,6,3,5,1]
[1,7,2,6,5,3,4]=>[2,7,3,5,6,4,1]
[1,7,2,6,5,4,3]=>[2,7,3,4,5,6,1]
[1,7,3,2,4,5,6]=>[2,3,7,6,5,4,1]
[1,7,3,2,4,6,5]=>[2,3,7,5,6,4,1]
[1,7,3,2,5,4,6]=>[2,3,7,6,4,5,1]
[1,7,3,2,5,6,4]=>[2,3,7,5,4,6,1]
[1,7,3,2,6,4,5]=>[2,3,7,4,6,5,1]
[1,7,3,2,6,5,4]=>[2,3,7,4,5,6,1]
[1,7,3,4,2,5,6]=>[3,7,6,5,2,4,1]
[1,7,3,4,2,6,5]=>[3,7,5,6,2,4,1]
[1,7,3,4,5,2,6]=>[3,7,6,4,2,5,1]
[1,7,3,4,5,6,2]=>[3,7,5,4,2,6,1]
[1,7,3,4,6,2,5]=>[3,7,4,2,6,5,1]
[1,7,3,4,6,5,2]=>[3,7,4,2,5,6,1]
[1,7,3,5,2,4,6]=>[3,7,6,2,5,4,1]
[1,7,3,5,2,6,4]=>[3,7,2,5,4,6,1]
[1,7,3,5,4,2,6]=>[3,7,6,2,4,5,1]
[1,7,3,5,4,6,2]=>[3,7,4,5,2,6,1]
[1,7,3,5,6,2,4]=>[3,7,5,2,6,4,1]
[1,7,3,5,6,4,2]=>[3,7,5,2,4,6,1]
[1,7,3,6,2,4,5]=>[3,7,2,6,5,4,1]
[1,7,3,6,2,5,4]=>[3,7,2,6,4,5,1]
[1,7,3,6,4,2,5]=>[3,7,2,4,6,5,1]
[1,7,3,6,4,5,2]=>[3,7,4,6,2,5,1]
[1,7,3,6,5,2,4]=>[3,7,2,5,6,4,1]
[1,7,3,6,5,4,2]=>[3,7,2,4,5,6,1]
[1,7,4,2,3,5,6]=>[2,4,7,6,5,3,1]
[1,7,4,2,3,6,5]=>[2,4,7,5,6,3,1]
[1,7,4,2,5,3,6]=>[2,4,7,6,3,5,1]
[1,7,4,2,5,6,3]=>[2,4,7,5,3,6,1]
[1,7,4,2,6,3,5]=>[2,4,7,3,6,5,1]
[1,7,4,2,6,5,3]=>[2,4,7,3,5,6,1]
[1,7,4,3,2,5,6]=>[2,3,4,7,6,5,1]
[1,7,4,3,2,6,5]=>[2,3,4,7,5,6,1]
[1,7,4,3,5,2,6]=>[3,4,7,6,2,5,1]
[1,7,4,3,5,6,2]=>[3,4,7,5,2,6,1]
[1,7,4,3,6,2,5]=>[3,4,7,2,6,5,1]
[1,7,4,3,6,5,2]=>[3,4,7,2,5,6,1]
[1,7,4,5,2,3,6]=>[4,7,6,2,5,3,1]
[1,7,4,5,2,6,3]=>[4,7,2,5,3,6,1]
[1,7,4,5,3,2,6]=>[4,7,6,2,3,5,1]
[1,7,4,5,3,6,2]=>[4,7,3,5,2,6,1]
[1,7,4,5,6,2,3]=>[4,7,5,2,6,3,1]
[1,7,4,5,6,3,2]=>[4,7,5,2,3,6,1]
[1,7,4,6,2,3,5]=>[4,7,2,6,5,3,1]
[1,7,4,6,2,5,3]=>[4,7,2,6,3,5,1]
[1,7,4,6,3,2,5]=>[4,7,2,3,6,5,1]
[1,7,4,6,3,5,2]=>[4,7,3,6,2,5,1]
[1,7,4,6,5,2,3]=>[4,7,2,5,6,3,1]
[1,7,4,6,5,3,2]=>[4,7,2,3,5,6,1]
[1,7,5,2,3,4,6]=>[2,5,7,6,4,3,1]
[1,7,5,2,3,6,4]=>[2,5,7,4,6,3,1]
[1,7,5,2,4,3,6]=>[2,5,7,6,3,4,1]
[1,7,5,2,4,6,3]=>[2,5,7,4,3,6,1]
[1,7,5,2,6,3,4]=>[2,5,7,3,6,4,1]
[1,7,5,2,6,4,3]=>[2,5,7,3,4,6,1]
[1,7,5,3,2,4,6]=>[2,3,5,7,6,4,1]
[1,7,5,3,2,6,4]=>[2,3,5,7,4,6,1]
[1,7,5,3,4,2,6]=>[3,5,7,6,2,4,1]
[1,7,5,3,4,6,2]=>[3,5,7,4,2,6,1]
[1,7,5,3,6,2,4]=>[3,5,7,2,6,4,1]
[1,7,5,3,6,4,2]=>[3,5,7,2,4,6,1]
[1,7,5,4,2,3,6]=>[2,4,5,7,6,3,1]
[1,7,5,4,2,6,3]=>[2,4,5,7,3,6,1]
[1,7,5,4,3,2,6]=>[2,3,4,5,7,6,1]
[1,7,5,4,3,6,2]=>[3,4,5,7,2,6,1]
[1,7,5,4,6,2,3]=>[4,5,7,2,6,3,1]
[1,7,5,4,6,3,2]=>[4,5,7,2,3,6,1]
[1,7,5,6,2,3,4]=>[5,7,2,6,4,3,1]
[1,7,5,6,2,4,3]=>[5,7,2,6,3,4,1]
[1,7,5,6,3,2,4]=>[5,7,2,3,6,4,1]
[1,7,5,6,3,4,2]=>[5,7,3,6,2,4,1]
[1,7,5,6,4,2,3]=>[5,7,2,4,6,3,1]
[1,7,5,6,4,3,2]=>[5,7,2,3,4,6,1]
[1,7,6,2,3,4,5]=>[2,6,7,5,4,3,1]
[1,7,6,2,3,5,4]=>[2,6,7,4,5,3,1]
[1,7,6,2,4,3,5]=>[2,6,7,5,3,4,1]
[1,7,6,2,4,5,3]=>[2,6,7,4,3,5,1]
[1,7,6,2,5,3,4]=>[2,6,7,3,5,4,1]
[1,7,6,2,5,4,3]=>[2,6,7,3,4,5,1]
[1,7,6,3,2,4,5]=>[2,3,6,7,5,4,1]
[1,7,6,3,2,5,4]=>[2,3,6,7,4,5,1]
[1,7,6,3,4,2,5]=>[3,6,7,5,2,4,1]
[1,7,6,3,4,5,2]=>[3,6,7,4,2,5,1]
[1,7,6,3,5,2,4]=>[3,6,7,2,5,4,1]
[1,7,6,3,5,4,2]=>[3,6,7,2,4,5,1]
[1,7,6,4,2,3,5]=>[2,4,6,7,5,3,1]
[1,7,6,4,2,5,3]=>[2,4,6,7,3,5,1]
[1,7,6,4,3,2,5]=>[2,3,4,6,7,5,1]
[1,7,6,4,3,5,2]=>[3,4,6,7,2,5,1]
[1,7,6,4,5,2,3]=>[4,6,7,2,5,3,1]
[1,7,6,4,5,3,2]=>[4,6,7,2,3,5,1]
[1,7,6,5,2,3,4]=>[2,5,6,7,4,3,1]
[1,7,6,5,2,4,3]=>[2,5,6,7,3,4,1]
[1,7,6,5,3,2,4]=>[2,3,5,6,7,4,1]
[1,7,6,5,3,4,2]=>[3,5,6,7,2,4,1]
[1,7,6,5,4,2,3]=>[2,4,5,6,7,3,1]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]
[2,1,3,4,6,7,5]=>[6,5,7,4,3,1,2]
[2,1,3,4,7,5,6]=>[5,7,6,4,3,1,2]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]
[2,1,3,5,6,4,7]=>[7,5,4,6,3,1,2]
[2,1,3,5,6,7,4]=>[6,5,4,7,3,1,2]
[2,1,3,5,7,4,6]=>[5,4,7,6,3,1,2]
[2,1,3,5,7,6,4]=>[5,4,6,7,3,1,2]
[2,1,3,6,4,5,7]=>[7,4,6,5,3,1,2]
[2,1,3,6,4,7,5]=>[4,6,5,7,3,1,2]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]
[2,1,3,6,5,7,4]=>[5,6,4,7,3,1,2]
[2,1,3,6,7,4,5]=>[6,4,7,5,3,1,2]
[2,1,3,6,7,5,4]=>[6,4,5,7,3,1,2]
[2,1,3,7,4,5,6]=>[4,7,6,5,3,1,2]
[2,1,3,7,4,6,5]=>[4,7,5,6,3,1,2]
[2,1,3,7,5,4,6]=>[4,5,7,6,3,1,2]
[2,1,3,7,5,6,4]=>[5,7,4,6,3,1,2]
[2,1,3,7,6,4,5]=>[4,6,7,5,3,1,2]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]
[2,1,4,3,6,7,5]=>[6,5,7,3,4,1,2]
[2,1,4,3,7,5,6]=>[5,7,6,3,4,1,2]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]
[2,1,4,5,3,6,7]=>[7,6,4,3,5,1,2]
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]
[2,1,4,5,6,3,7]=>[7,5,4,3,6,1,2]
[2,1,4,5,6,7,3]=>[6,5,4,3,7,1,2]
[2,1,4,5,7,3,6]=>[5,4,3,7,6,1,2]
[2,1,4,5,7,6,3]=>[5,4,3,6,7,1,2]
[2,1,4,6,3,5,7]=>[7,4,3,6,5,1,2]
[2,1,4,6,3,7,5]=>[4,3,6,5,7,1,2]
[2,1,4,6,5,3,7]=>[7,4,3,5,6,1,2]
[2,1,4,6,5,7,3]=>[5,6,4,3,7,1,2]
[2,1,4,6,7,3,5]=>[6,4,3,7,5,1,2]
[2,1,4,6,7,5,3]=>[6,4,3,5,7,1,2]
[2,1,4,7,3,5,6]=>[4,3,7,6,5,1,2]
[2,1,4,7,3,6,5]=>[4,3,7,5,6,1,2]
[2,1,4,7,5,3,6]=>[4,3,5,7,6,1,2]
[2,1,4,7,5,6,3]=>[5,7,4,3,6,1,2]
[2,1,4,7,6,3,5]=>[4,3,6,7,5,1,2]
[2,1,4,7,6,5,3]=>[4,3,5,6,7,1,2]
[2,1,5,3,4,6,7]=>[7,6,3,5,4,1,2]
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]
[2,1,5,3,6,4,7]=>[7,3,5,4,6,1,2]
[2,1,5,3,6,7,4]=>[6,3,5,4,7,1,2]
[2,1,5,3,7,4,6]=>[3,5,4,7,6,1,2]
[2,1,5,3,7,6,4]=>[3,5,4,6,7,1,2]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]
[2,1,5,4,6,3,7]=>[7,4,5,3,6,1,2]
[2,1,5,4,6,7,3]=>[6,4,5,3,7,1,2]
[2,1,5,4,7,3,6]=>[4,5,3,7,6,1,2]
[2,1,5,4,7,6,3]=>[4,5,3,6,7,1,2]
[2,1,5,6,3,4,7]=>[7,5,3,6,4,1,2]
[2,1,5,6,3,7,4]=>[5,3,6,4,7,1,2]
[2,1,5,6,4,3,7]=>[7,5,3,4,6,1,2]
[2,1,5,6,4,7,3]=>[5,4,6,3,7,1,2]
[2,1,5,6,7,3,4]=>[6,5,3,7,4,1,2]
[2,1,5,6,7,4,3]=>[6,5,3,4,7,1,2]
[2,1,5,7,3,4,6]=>[5,3,7,6,4,1,2]
[2,1,5,7,3,6,4]=>[5,3,7,4,6,1,2]
[2,1,5,7,4,3,6]=>[5,3,4,7,6,1,2]
[2,1,5,7,4,6,3]=>[5,4,7,3,6,1,2]
[2,1,5,7,6,3,4]=>[5,3,6,7,4,1,2]
[2,1,5,7,6,4,3]=>[5,3,4,6,7,1,2]
[2,1,6,3,4,5,7]=>[7,3,6,5,4,1,2]
[2,1,6,3,4,7,5]=>[3,6,5,7,4,1,2]
[2,1,6,3,5,4,7]=>[7,3,6,4,5,1,2]
[2,1,6,3,5,7,4]=>[3,6,5,4,7,1,2]
[2,1,6,3,7,4,5]=>[3,6,4,7,5,1,2]
[2,1,6,3,7,5,4]=>[3,6,4,5,7,1,2]
[2,1,6,4,3,5,7]=>[7,3,4,6,5,1,2]
[2,1,6,4,3,7,5]=>[3,4,6,5,7,1,2]
[2,1,6,4,5,3,7]=>[7,4,6,3,5,1,2]
[2,1,6,4,5,7,3]=>[4,6,5,3,7,1,2]
[2,1,6,4,7,3,5]=>[4,6,3,7,5,1,2]
[2,1,6,4,7,5,3]=>[4,6,3,5,7,1,2]
[2,1,6,5,3,4,7]=>[7,3,5,6,4,1,2]
[2,1,6,5,3,7,4]=>[3,5,6,4,7,1,2]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]
[2,1,6,5,4,7,3]=>[4,5,6,3,7,1,2]
[2,1,6,5,7,3,4]=>[5,6,3,7,4,1,2]
[2,1,6,5,7,4,3]=>[5,6,3,4,7,1,2]
[2,1,6,7,3,4,5]=>[6,3,7,5,4,1,2]
[2,1,6,7,3,5,4]=>[6,3,7,4,5,1,2]
[2,1,6,7,4,3,5]=>[6,3,4,7,5,1,2]
[2,1,6,7,4,5,3]=>[6,4,7,3,5,1,2]
[2,1,6,7,5,3,4]=>[6,3,5,7,4,1,2]
[2,1,6,7,5,4,3]=>[6,3,4,5,7,1,2]
[2,1,7,3,4,5,6]=>[3,7,6,5,4,1,2]
[2,1,7,3,4,6,5]=>[3,7,5,6,4,1,2]
[2,1,7,3,5,4,6]=>[3,7,6,4,5,1,2]
[2,1,7,3,5,6,4]=>[3,7,5,4,6,1,2]
[2,1,7,3,6,4,5]=>[3,7,4,6,5,1,2]
[2,1,7,3,6,5,4]=>[3,7,4,5,6,1,2]
[2,1,7,4,3,5,6]=>[3,4,7,6,5,1,2]
[2,1,7,4,3,6,5]=>[3,4,7,5,6,1,2]
[2,1,7,4,5,3,6]=>[4,7,6,3,5,1,2]
[2,1,7,4,5,6,3]=>[4,7,5,3,6,1,2]
[2,1,7,4,6,3,5]=>[4,7,3,6,5,1,2]
[2,1,7,4,6,5,3]=>[4,7,3,5,6,1,2]
[2,1,7,5,3,4,6]=>[3,5,7,6,4,1,2]
[2,1,7,5,3,6,4]=>[3,5,7,4,6,1,2]
[2,1,7,5,4,3,6]=>[3,4,5,7,6,1,2]
[2,1,7,5,4,6,3]=>[4,5,7,3,6,1,2]
[2,1,7,5,6,3,4]=>[5,7,3,6,4,1,2]
[2,1,7,5,6,4,3]=>[5,7,3,4,6,1,2]
[2,1,7,6,3,4,5]=>[3,6,7,5,4,1,2]
[2,1,7,6,3,5,4]=>[3,6,7,4,5,1,2]
[2,1,7,6,4,3,5]=>[3,4,6,7,5,1,2]
[2,1,7,6,4,5,3]=>[4,6,7,3,5,1,2]
[2,1,7,6,5,3,4]=>[3,5,6,7,4,1,2]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]
[2,3,1,4,5,6,7]=>[7,6,5,4,2,1,3]
[2,3,1,4,5,7,6]=>[6,7,5,4,2,1,3]
[2,3,1,4,6,5,7]=>[7,5,6,4,2,1,3]
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]
[2,3,1,4,7,5,6]=>[5,7,6,4,2,1,3]
[2,3,1,4,7,6,5]=>[5,6,7,4,2,1,3]
[2,3,1,5,4,6,7]=>[7,6,4,5,2,1,3]
[2,3,1,5,4,7,6]=>[6,7,4,5,2,1,3]
[2,3,1,5,6,4,7]=>[7,5,4,6,2,1,3]
[2,3,1,5,6,7,4]=>[6,5,4,7,2,1,3]
[2,3,1,5,7,4,6]=>[5,4,7,6,2,1,3]
[2,3,1,5,7,6,4]=>[5,4,6,7,2,1,3]
[2,3,1,6,4,5,7]=>[7,4,6,5,2,1,3]
[2,3,1,6,4,7,5]=>[4,6,5,7,2,1,3]
[2,3,1,6,5,4,7]=>[7,4,5,6,2,1,3]
[2,3,1,6,5,7,4]=>[5,6,4,7,2,1,3]
[2,3,1,6,7,4,5]=>[6,4,7,5,2,1,3]
[2,3,1,6,7,5,4]=>[6,4,5,7,2,1,3]
[2,3,1,7,4,5,6]=>[4,7,6,5,2,1,3]
[2,3,1,7,4,6,5]=>[4,7,5,6,2,1,3]
[2,3,1,7,5,4,6]=>[4,5,7,6,2,1,3]
[2,3,1,7,5,6,4]=>[5,7,4,6,2,1,3]
[2,3,1,7,6,4,5]=>[4,6,7,5,2,1,3]
[2,3,1,7,6,5,4]=>[4,5,6,7,2,1,3]
[2,3,4,1,5,6,7]=>[7,6,5,3,2,1,4]
[2,3,4,1,5,7,6]=>[6,7,5,3,2,1,4]
[2,3,4,1,6,5,7]=>[7,5,6,3,2,1,4]
[2,3,4,1,6,7,5]=>[6,5,7,3,2,1,4]
[2,3,4,1,7,5,6]=>[5,7,6,3,2,1,4]
[2,3,4,1,7,6,5]=>[5,6,7,3,2,1,4]
[2,3,4,5,1,6,7]=>[7,6,4,3,2,1,5]
[2,3,4,5,1,7,6]=>[6,7,4,3,2,1,5]
[2,3,4,5,6,1,7]=>[7,5,4,3,2,1,6]
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]
[2,3,4,5,7,1,6]=>[5,4,3,2,1,7,6]
[2,3,4,5,7,6,1]=>[5,4,3,2,1,6,7]
[2,3,4,6,1,5,7]=>[7,4,3,2,1,6,5]
[2,3,4,6,1,7,5]=>[4,3,2,1,6,5,7]
[2,3,4,6,5,1,7]=>[7,4,3,2,1,5,6]
[2,3,4,6,5,7,1]=>[5,6,4,3,2,1,7]
[2,3,4,6,7,1,5]=>[6,4,3,2,1,7,5]
[2,3,4,6,7,5,1]=>[6,4,3,2,1,5,7]
[2,3,4,7,1,5,6]=>[4,3,2,1,7,6,5]
[2,3,4,7,1,6,5]=>[4,3,2,1,7,5,6]
[2,3,4,7,5,1,6]=>[4,3,2,1,5,7,6]
[2,3,4,7,5,6,1]=>[5,7,4,3,2,1,6]
[2,3,4,7,6,1,5]=>[4,3,2,1,6,7,5]
[2,3,4,7,6,5,1]=>[4,3,2,1,5,6,7]
[2,3,5,1,4,6,7]=>[7,6,3,2,1,5,4]
[2,3,5,1,4,7,6]=>[6,7,3,2,1,5,4]
[2,3,5,1,6,4,7]=>[7,3,2,1,5,4,6]
[2,3,5,1,6,7,4]=>[6,3,2,1,5,4,7]
[2,3,5,1,7,4,6]=>[3,2,1,5,4,7,6]
[2,3,5,1,7,6,4]=>[3,2,1,5,4,6,7]
[2,3,5,4,1,6,7]=>[7,6,3,2,1,4,5]
[2,3,5,4,1,7,6]=>[6,7,3,2,1,4,5]
[2,3,5,4,6,1,7]=>[7,4,5,3,2,1,6]
[2,3,5,4,6,7,1]=>[6,4,5,3,2,1,7]
[2,3,5,4,7,1,6]=>[4,5,3,2,1,7,6]
[2,3,5,4,7,6,1]=>[4,5,3,2,1,6,7]
[2,3,5,6,1,4,7]=>[7,5,3,2,1,6,4]
[2,3,5,6,1,7,4]=>[5,3,2,1,6,4,7]
[2,3,5,6,4,1,7]=>[7,5,3,2,1,4,6]
[2,3,5,6,4,7,1]=>[5,4,6,3,2,1,7]
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]
[2,3,5,7,1,4,6]=>[5,3,2,1,7,6,4]
[2,3,5,7,1,6,4]=>[5,3,2,1,7,4,6]
[2,3,5,7,4,1,6]=>[5,3,2,1,4,7,6]
[2,3,5,7,4,6,1]=>[5,4,7,3,2,1,6]
[2,3,5,7,6,1,4]=>[5,3,2,1,6,7,4]
[2,3,5,7,6,4,1]=>[5,3,2,1,4,6,7]
[2,3,6,1,4,5,7]=>[7,3,2,1,6,5,4]
[2,3,6,1,4,7,5]=>[3,2,1,6,5,7,4]
[2,3,6,1,5,4,7]=>[7,3,2,1,6,4,5]
[2,3,6,1,5,7,4]=>[3,2,1,6,5,4,7]
[2,3,6,1,7,4,5]=>[3,2,1,6,4,7,5]
[2,3,6,1,7,5,4]=>[3,2,1,6,4,5,7]
[2,3,6,4,1,5,7]=>[7,3,2,1,4,6,5]
[2,3,6,4,1,7,5]=>[3,2,1,4,6,5,7]
[2,3,6,4,5,1,7]=>[7,4,6,3,2,1,5]
[2,3,6,4,5,7,1]=>[4,6,5,3,2,1,7]
[2,3,6,4,7,1,5]=>[4,6,3,2,1,7,5]
[2,3,6,4,7,5,1]=>[4,6,3,2,1,5,7]
[2,3,6,5,1,4,7]=>[7,3,2,1,5,6,4]
[2,3,6,5,1,7,4]=>[3,2,1,5,6,4,7]
[2,3,6,5,4,1,7]=>[7,3,2,1,4,5,6]
[2,3,6,5,4,7,1]=>[4,5,6,3,2,1,7]
[2,3,6,5,7,1,4]=>[5,6,3,2,1,7,4]
[2,3,6,5,7,4,1]=>[5,6,3,2,1,4,7]
[2,3,6,7,1,4,5]=>[6,3,2,1,7,5,4]
[2,3,6,7,1,5,4]=>[6,3,2,1,7,4,5]
[2,3,6,7,4,1,5]=>[6,3,2,1,4,7,5]
[2,3,6,7,4,5,1]=>[6,4,7,3,2,1,5]
[2,3,6,7,5,1,4]=>[6,3,2,1,5,7,4]
[2,3,6,7,5,4,1]=>[6,3,2,1,4,5,7]
[2,3,7,1,4,5,6]=>[3,2,1,7,6,5,4]
[2,3,7,1,4,6,5]=>[3,2,1,7,5,6,4]
[2,3,7,1,5,4,6]=>[3,2,1,7,6,4,5]
[2,3,7,1,5,6,4]=>[3,2,1,7,5,4,6]
[2,3,7,1,6,4,5]=>[3,2,1,7,4,6,5]
[2,3,7,1,6,5,4]=>[3,2,1,7,4,5,6]
[2,3,7,4,1,5,6]=>[3,2,1,4,7,6,5]
[2,3,7,4,1,6,5]=>[3,2,1,4,7,5,6]
[2,3,7,4,5,1,6]=>[4,7,6,3,2,1,5]
[2,3,7,4,5,6,1]=>[4,7,5,3,2,1,6]
[2,3,7,4,6,1,5]=>[4,7,3,2,1,6,5]
[2,3,7,4,6,5,1]=>[4,7,3,2,1,5,6]
[2,3,7,5,1,4,6]=>[3,2,1,5,7,6,4]
[2,3,7,5,1,6,4]=>[3,2,1,5,7,4,6]
[2,3,7,5,4,1,6]=>[3,2,1,4,5,7,6]
[2,3,7,5,4,6,1]=>[4,5,7,3,2,1,6]
[2,3,7,5,6,1,4]=>[5,7,3,2,1,6,4]
[2,3,7,5,6,4,1]=>[5,7,3,2,1,4,6]
[2,3,7,6,1,4,5]=>[3,2,1,6,7,5,4]
[2,3,7,6,1,5,4]=>[3,2,1,6,7,4,5]
[2,3,7,6,4,1,5]=>[3,2,1,4,6,7,5]
[2,3,7,6,4,5,1]=>[4,6,7,3,2,1,5]
[2,3,7,6,5,1,4]=>[3,2,1,5,6,7,4]
[2,3,7,6,5,4,1]=>[3,2,1,4,5,6,7]
[2,4,1,3,5,6,7]=>[7,6,5,2,1,4,3]
[2,4,1,3,5,7,6]=>[6,7,5,2,1,4,3]
[2,4,1,3,6,5,7]=>[7,5,6,2,1,4,3]
[2,4,1,3,6,7,5]=>[6,5,7,2,1,4,3]
[2,4,1,3,7,5,6]=>[5,7,6,2,1,4,3]
[2,4,1,3,7,6,5]=>[5,6,7,2,1,4,3]
[2,4,1,5,3,6,7]=>[7,6,2,1,4,3,5]
[2,4,1,5,3,7,6]=>[6,7,2,1,4,3,5]
[2,4,1,5,6,3,7]=>[7,5,2,1,4,3,6]
[2,4,1,5,6,7,3]=>[6,5,2,1,4,3,7]
[2,4,1,5,7,3,6]=>[5,2,1,4,3,7,6]
[2,4,1,5,7,6,3]=>[5,2,1,4,3,6,7]
[2,4,1,6,3,5,7]=>[7,2,1,4,3,6,5]
[2,4,1,6,3,7,5]=>[2,1,4,3,6,5,7]
[2,4,1,6,5,3,7]=>[7,2,1,4,3,5,6]
[2,4,1,6,5,7,3]=>[5,6,2,1,4,3,7]
[2,4,1,6,7,3,5]=>[6,2,1,4,3,7,5]
[2,4,1,6,7,5,3]=>[6,2,1,4,3,5,7]
[2,4,1,7,3,5,6]=>[2,1,4,3,7,6,5]
[2,4,1,7,3,6,5]=>[2,1,4,3,7,5,6]
[2,4,1,7,5,3,6]=>[2,1,4,3,5,7,6]
[2,4,1,7,5,6,3]=>[5,7,2,1,4,3,6]
[2,4,1,7,6,3,5]=>[2,1,4,3,6,7,5]
[2,4,1,7,6,5,3]=>[2,1,4,3,5,6,7]
[2,4,3,1,5,6,7]=>[7,6,5,2,1,3,4]
[2,4,3,1,5,7,6]=>[6,7,5,2,1,3,4]
[2,4,3,1,6,5,7]=>[7,5,6,2,1,3,4]
[2,4,3,1,6,7,5]=>[6,5,7,2,1,3,4]
[2,4,3,1,7,5,6]=>[5,7,6,2,1,3,4]
[2,4,3,1,7,6,5]=>[5,6,7,2,1,3,4]
[2,4,3,5,1,6,7]=>[7,6,3,4,2,1,5]
[2,4,3,5,1,7,6]=>[6,7,3,4,2,1,5]
[2,4,3,5,6,1,7]=>[7,5,3,4,2,1,6]
[2,4,3,5,6,7,1]=>[6,5,3,4,2,1,7]
[2,4,3,5,7,1,6]=>[5,3,4,2,1,7,6]
[2,4,3,5,7,6,1]=>[5,3,4,2,1,6,7]
[2,4,3,6,1,5,7]=>[7,3,4,2,1,6,5]
[2,4,3,6,1,7,5]=>[3,4,2,1,6,5,7]
[2,4,3,6,5,1,7]=>[7,3,4,2,1,5,6]
[2,4,3,6,5,7,1]=>[5,6,3,4,2,1,7]
[2,4,3,6,7,1,5]=>[6,3,4,2,1,7,5]
[2,4,3,6,7,5,1]=>[6,3,4,2,1,5,7]
[2,4,3,7,1,5,6]=>[3,4,2,1,7,6,5]
[2,4,3,7,1,6,5]=>[3,4,2,1,7,5,6]
[2,4,3,7,5,1,6]=>[3,4,2,1,5,7,6]
[2,4,3,7,5,6,1]=>[5,7,3,4,2,1,6]
[2,4,3,7,6,1,5]=>[3,4,2,1,6,7,5]
[2,4,3,7,6,5,1]=>[3,4,2,1,5,6,7]
[2,4,5,1,3,6,7]=>[7,6,4,2,1,5,3]
[2,4,5,1,3,7,6]=>[6,7,4,2,1,5,3]
[2,4,5,1,6,3,7]=>[7,4,2,1,5,3,6]
[2,4,5,1,6,7,3]=>[6,4,2,1,5,3,7]
[2,4,5,1,7,3,6]=>[4,2,1,5,3,7,6]
[2,4,5,1,7,6,3]=>[4,2,1,5,3,6,7]
[2,4,5,3,1,6,7]=>[7,6,4,2,1,3,5]
[2,4,5,3,1,7,6]=>[6,7,4,2,1,3,5]
[2,4,5,3,6,1,7]=>[7,4,3,5,2,1,6]
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]
[2,4,5,3,7,1,6]=>[4,3,5,2,1,7,6]
[2,4,5,3,7,6,1]=>[4,3,5,2,1,6,7]
[2,4,5,6,1,3,7]=>[7,5,4,2,1,6,3]
[2,4,5,6,1,7,3]=>[5,4,2,1,6,3,7]
[2,4,5,6,3,1,7]=>[7,5,4,2,1,3,6]
[2,4,5,6,3,7,1]=>[5,4,3,6,2,1,7]
[2,4,5,6,7,1,3]=>[6,5,4,2,1,7,3]
[2,4,5,6,7,3,1]=>[6,5,4,2,1,3,7]
[2,4,5,7,1,3,6]=>[5,4,2,1,7,6,3]
[2,4,5,7,1,6,3]=>[5,4,2,1,7,3,6]
[2,4,5,7,3,1,6]=>[5,4,2,1,3,7,6]
[2,4,5,7,3,6,1]=>[5,4,3,7,2,1,6]
[2,4,5,7,6,1,3]=>[5,4,2,1,6,7,3]
[2,4,5,7,6,3,1]=>[5,4,2,1,3,6,7]
[2,4,6,1,3,5,7]=>[7,4,2,1,6,5,3]
[2,4,6,1,3,7,5]=>[4,2,1,6,5,7,3]
[2,4,6,1,5,3,7]=>[7,4,2,1,6,3,5]
[2,4,6,1,5,7,3]=>[4,2,1,6,5,3,7]
[2,4,6,1,7,3,5]=>[4,2,1,6,3,7,5]
[2,4,6,1,7,5,3]=>[4,2,1,6,3,5,7]
[2,4,6,3,1,5,7]=>[7,4,2,1,3,6,5]
[2,4,6,3,1,7,5]=>[4,2,1,3,6,5,7]
[2,4,6,3,5,1,7]=>[7,4,3,6,2,1,5]
[2,4,6,3,5,7,1]=>[4,3,6,5,2,1,7]
[2,4,6,3,7,1,5]=>[4,3,6,2,1,7,5]
[2,4,6,3,7,5,1]=>[4,3,6,2,1,5,7]
[2,4,6,5,1,3,7]=>[7,4,2,1,5,6,3]
[2,4,6,5,1,7,3]=>[4,2,1,5,6,3,7]
[2,4,6,5,3,1,7]=>[7,4,2,1,3,5,6]
[2,4,6,5,3,7,1]=>[4,3,5,6,2,1,7]
[2,4,6,5,7,1,3]=>[5,6,4,2,1,7,3]
[2,4,6,5,7,3,1]=>[5,6,4,2,1,3,7]
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]
[2,4,6,7,3,1,5]=>[6,4,2,1,3,7,5]
[2,4,6,7,3,5,1]=>[6,4,3,7,2,1,5]
[2,4,6,7,5,1,3]=>[6,4,2,1,5,7,3]
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]
[2,4,7,1,3,5,6]=>[4,2,1,7,6,5,3]
[2,4,7,1,3,6,5]=>[4,2,1,7,5,6,3]
[2,4,7,1,5,3,6]=>[4,2,1,7,6,3,5]
[2,4,7,1,5,6,3]=>[4,2,1,7,5,3,6]
[2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]
[2,4,7,1,6,5,3]=>[4,2,1,7,3,5,6]
[2,4,7,3,1,5,6]=>[4,2,1,3,7,6,5]
[2,4,7,3,1,6,5]=>[4,2,1,3,7,5,6]
[2,4,7,3,5,1,6]=>[4,3,7,6,2,1,5]
[2,4,7,3,5,6,1]=>[4,3,7,5,2,1,6]
[2,4,7,3,6,1,5]=>[4,3,7,2,1,6,5]
[2,4,7,3,6,5,1]=>[4,3,7,2,1,5,6]
[2,4,7,5,1,3,6]=>[4,2,1,5,7,6,3]
[2,4,7,5,1,6,3]=>[4,2,1,5,7,3,6]
[2,4,7,5,3,1,6]=>[4,2,1,3,5,7,6]
[2,4,7,5,3,6,1]=>[4,3,5,7,2,1,6]
[2,4,7,5,6,1,3]=>[5,7,4,2,1,6,3]
[2,4,7,5,6,3,1]=>[5,7,4,2,1,3,6]
[2,4,7,6,1,3,5]=>[4,2,1,6,7,5,3]
[2,4,7,6,1,5,3]=>[4,2,1,6,7,3,5]
[2,4,7,6,3,1,5]=>[4,2,1,3,6,7,5]
[2,4,7,6,3,5,1]=>[4,3,6,7,2,1,5]
[2,4,7,6,5,1,3]=>[4,2,1,5,6,7,3]
[2,4,7,6,5,3,1]=>[4,2,1,3,5,6,7]
[2,5,1,3,4,6,7]=>[7,6,2,1,5,4,3]
[2,5,1,3,4,7,6]=>[6,7,2,1,5,4,3]
[2,5,1,3,6,4,7]=>[7,2,1,5,4,6,3]
[2,5,1,3,6,7,4]=>[6,2,1,5,4,7,3]
[2,5,1,3,7,4,6]=>[2,1,5,4,7,6,3]
[2,5,1,3,7,6,4]=>[2,1,5,4,6,7,3]
[2,5,1,4,3,6,7]=>[7,6,2,1,5,3,4]
[2,5,1,4,3,7,6]=>[6,7,2,1,5,3,4]
[2,5,1,4,6,3,7]=>[7,2,1,5,4,3,6]
[2,5,1,4,6,7,3]=>[6,2,1,5,4,3,7]
[2,5,1,4,7,3,6]=>[2,1,5,4,3,7,6]
[2,5,1,4,7,6,3]=>[2,1,5,4,3,6,7]
[2,5,1,6,3,4,7]=>[7,2,1,5,3,6,4]
[2,5,1,6,3,7,4]=>[2,1,5,3,6,4,7]
[2,5,1,6,4,3,7]=>[7,2,1,5,3,4,6]
[2,5,1,6,4,7,3]=>[2,1,5,4,6,3,7]
[2,5,1,6,7,3,4]=>[6,2,1,5,3,7,4]
[2,5,1,6,7,4,3]=>[6,2,1,5,3,4,7]
[2,5,1,7,3,4,6]=>[2,1,5,3,7,6,4]
[2,5,1,7,3,6,4]=>[2,1,5,3,7,4,6]
[2,5,1,7,4,3,6]=>[2,1,5,3,4,7,6]
[2,5,1,7,4,6,3]=>[2,1,5,4,7,3,6]
[2,5,1,7,6,3,4]=>[2,1,5,3,6,7,4]
[2,5,1,7,6,4,3]=>[2,1,5,3,4,6,7]
[2,5,3,1,4,6,7]=>[7,6,2,1,3,5,4]
[2,5,3,1,4,7,6]=>[6,7,2,1,3,5,4]
[2,5,3,1,6,4,7]=>[7,2,1,3,5,4,6]
[2,5,3,1,6,7,4]=>[6,2,1,3,5,4,7]
[2,5,3,1,7,4,6]=>[2,1,3,5,4,7,6]
[2,5,3,1,7,6,4]=>[2,1,3,5,4,6,7]
[2,5,3,4,1,6,7]=>[7,6,3,5,2,1,4]
[2,5,3,4,1,7,6]=>[6,7,3,5,2,1,4]
[2,5,3,4,6,1,7]=>[7,3,5,4,2,1,6]
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]
[2,5,3,4,7,1,6]=>[3,5,4,2,1,7,6]
[2,5,3,4,7,6,1]=>[3,5,4,2,1,6,7]
[2,5,3,6,1,4,7]=>[7,3,5,2,1,6,4]
[2,5,3,6,1,7,4]=>[3,5,2,1,6,4,7]
[2,5,3,6,4,1,7]=>[7,3,5,2,1,4,6]
[2,5,3,6,4,7,1]=>[3,5,4,6,2,1,7]
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]
[2,5,3,7,1,4,6]=>[3,5,2,1,7,6,4]
[2,5,3,7,1,6,4]=>[3,5,2,1,7,4,6]
[2,5,3,7,4,1,6]=>[3,5,2,1,4,7,6]
[2,5,3,7,4,6,1]=>[3,5,4,7,2,1,6]
[2,5,3,7,6,1,4]=>[3,5,2,1,6,7,4]
[2,5,3,7,6,4,1]=>[3,5,2,1,4,6,7]
[2,5,4,1,3,6,7]=>[7,6,2,1,4,5,3]
[2,5,4,1,3,7,6]=>[6,7,2,1,4,5,3]
[2,5,4,1,6,3,7]=>[7,2,1,4,5,3,6]
[2,5,4,1,6,7,3]=>[6,2,1,4,5,3,7]
[2,5,4,1,7,3,6]=>[2,1,4,5,3,7,6]
[2,5,4,1,7,6,3]=>[2,1,4,5,3,6,7]
[2,5,4,3,1,6,7]=>[7,6,2,1,3,4,5]
[2,5,4,3,1,7,6]=>[6,7,2,1,3,4,5]
[2,5,4,3,6,1,7]=>[7,3,4,5,2,1,6]
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]
[2,5,4,3,7,1,6]=>[3,4,5,2,1,7,6]
[2,5,4,3,7,6,1]=>[3,4,5,2,1,6,7]
[2,5,4,6,1,3,7]=>[7,4,5,2,1,6,3]
[2,5,4,6,1,7,3]=>[4,5,2,1,6,3,7]
[2,5,4,6,3,1,7]=>[7,4,5,2,1,3,6]
[2,5,4,6,3,7,1]=>[4,5,3,6,2,1,7]
[2,5,4,6,7,1,3]=>[6,4,5,2,1,7,3]
[2,5,4,6,7,3,1]=>[6,4,5,2,1,3,7]
[2,5,4,7,1,3,6]=>[4,5,2,1,7,6,3]
[2,5,4,7,1,6,3]=>[4,5,2,1,7,3,6]
[2,5,4,7,3,1,6]=>[4,5,2,1,3,7,6]
[2,5,4,7,3,6,1]=>[4,5,3,7,2,1,6]
[2,5,4,7,6,1,3]=>[4,5,2,1,6,7,3]
[2,5,4,7,6,3,1]=>[4,5,2,1,3,6,7]
[2,5,6,1,3,4,7]=>[7,5,2,1,6,4,3]
[2,5,6,1,3,7,4]=>[5,2,1,6,4,7,3]
[2,5,6,1,4,3,7]=>[7,5,2,1,6,3,4]
[2,5,6,1,4,7,3]=>[5,2,1,6,4,3,7]
[2,5,6,1,7,3,4]=>[5,2,1,6,3,7,4]
[2,5,6,1,7,4,3]=>[5,2,1,6,3,4,7]
[2,5,6,3,1,4,7]=>[7,5,2,1,3,6,4]
[2,5,6,3,1,7,4]=>[5,2,1,3,6,4,7]
[2,5,6,3,4,1,7]=>[7,5,3,6,2,1,4]
[2,5,6,3,4,7,1]=>[5,3,6,4,2,1,7]
[2,5,6,3,7,1,4]=>[5,3,6,2,1,7,4]
[2,5,6,3,7,4,1]=>[5,3,6,2,1,4,7]
[2,5,6,4,1,3,7]=>[7,5,2,1,4,6,3]
[2,5,6,4,1,7,3]=>[5,2,1,4,6,3,7]
[2,5,6,4,3,1,7]=>[7,5,2,1,3,4,6]
[2,5,6,4,3,7,1]=>[5,3,4,6,2,1,7]
[2,5,6,4,7,1,3]=>[5,4,6,2,1,7,3]
[2,5,6,4,7,3,1]=>[5,4,6,2,1,3,7]
[2,5,6,7,1,3,4]=>[6,5,2,1,7,4,3]
[2,5,6,7,1,4,3]=>[6,5,2,1,7,3,4]
[2,5,6,7,3,1,4]=>[6,5,2,1,3,7,4]
[2,5,6,7,3,4,1]=>[6,5,3,7,2,1,4]
[2,5,6,7,4,1,3]=>[6,5,2,1,4,7,3]
[2,5,6,7,4,3,1]=>[6,5,2,1,3,4,7]
[2,5,7,1,3,4,6]=>[5,2,1,7,6,4,3]
[2,5,7,1,3,6,4]=>[5,2,1,7,4,6,3]
[2,5,7,1,4,3,6]=>[5,2,1,7,6,3,4]
[2,5,7,1,4,6,3]=>[5,2,1,7,4,3,6]
[2,5,7,1,6,3,4]=>[5,2,1,7,3,6,4]
[2,5,7,1,6,4,3]=>[5,2,1,7,3,4,6]
[2,5,7,3,1,4,6]=>[5,2,1,3,7,6,4]
[2,5,7,3,1,6,4]=>[5,2,1,3,7,4,6]
[2,5,7,3,4,1,6]=>[5,3,7,6,2,1,4]
[2,5,7,3,4,6,1]=>[5,3,7,4,2,1,6]
[2,5,7,3,6,1,4]=>[5,3,7,2,1,6,4]
[2,5,7,3,6,4,1]=>[5,3,7,2,1,4,6]
[2,5,7,4,1,3,6]=>[5,2,1,4,7,6,3]
[2,5,7,4,1,6,3]=>[5,2,1,4,7,3,6]
[2,5,7,4,3,1,6]=>[5,2,1,3,4,7,6]
[2,5,7,4,3,6,1]=>[5,3,4,7,2,1,6]
[2,5,7,4,6,1,3]=>[5,4,7,2,1,6,3]
[2,5,7,4,6,3,1]=>[5,4,7,2,1,3,6]
[2,5,7,6,1,3,4]=>[5,2,1,6,7,4,3]
[2,5,7,6,1,4,3]=>[5,2,1,6,7,3,4]
[2,5,7,6,3,1,4]=>[5,2,1,3,6,7,4]
[2,5,7,6,3,4,1]=>[5,3,6,7,2,1,4]
[2,5,7,6,4,1,3]=>[5,2,1,4,6,7,3]
[2,5,7,6,4,3,1]=>[5,2,1,3,4,6,7]
[2,6,1,3,4,5,7]=>[7,2,1,6,5,4,3]
[2,6,1,3,4,7,5]=>[2,1,6,5,7,4,3]
[2,6,1,3,5,4,7]=>[7,2,1,6,4,5,3]
[2,6,1,3,5,7,4]=>[2,1,6,5,4,7,3]
[2,6,1,3,7,4,5]=>[2,1,6,4,7,5,3]
[2,6,1,3,7,5,4]=>[2,1,6,4,5,7,3]
[2,6,1,4,3,5,7]=>[7,2,1,6,5,3,4]
[2,6,1,4,3,7,5]=>[2,1,6,5,7,3,4]
[2,6,1,4,5,3,7]=>[7,2,1,6,4,3,5]
[2,6,1,4,5,7,3]=>[2,1,6,5,4,3,7]
[2,6,1,4,7,3,5]=>[2,1,6,4,3,7,5]
[2,6,1,4,7,5,3]=>[2,1,6,4,3,5,7]
[2,6,1,5,3,4,7]=>[7,2,1,6,3,5,4]
[2,6,1,5,3,7,4]=>[2,1,6,3,5,4,7]
[2,6,1,5,4,3,7]=>[7,2,1,6,3,4,5]
[2,6,1,5,4,7,3]=>[2,1,6,4,5,3,7]
[2,6,1,5,7,3,4]=>[2,1,6,5,3,7,4]
[2,6,1,5,7,4,3]=>[2,1,6,5,3,4,7]
[2,6,1,7,3,4,5]=>[2,1,6,3,7,5,4]
[2,6,1,7,3,5,4]=>[2,1,6,3,7,4,5]
[2,6,1,7,4,3,5]=>[2,1,6,3,4,7,5]
[2,6,1,7,4,5,3]=>[2,1,6,4,7,3,5]
[2,6,1,7,5,3,4]=>[2,1,6,3,5,7,4]
[2,6,1,7,5,4,3]=>[2,1,6,3,4,5,7]
[2,6,3,1,4,5,7]=>[7,2,1,3,6,5,4]
[2,6,3,1,4,7,5]=>[2,1,3,6,5,7,4]
[2,6,3,1,5,4,7]=>[7,2,1,3,6,4,5]
[2,6,3,1,5,7,4]=>[2,1,3,6,5,4,7]
[2,6,3,1,7,4,5]=>[2,1,3,6,4,7,5]
[2,6,3,1,7,5,4]=>[2,1,3,6,4,5,7]
[2,6,3,4,1,5,7]=>[7,3,6,5,2,1,4]
[2,6,3,4,1,7,5]=>[3,6,5,7,2,1,4]
[2,6,3,4,5,1,7]=>[7,3,6,4,2,1,5]
[2,6,3,4,5,7,1]=>[3,6,5,4,2,1,7]
[2,6,3,4,7,1,5]=>[3,6,4,2,1,7,5]
[2,6,3,4,7,5,1]=>[3,6,4,2,1,5,7]
[2,6,3,5,1,4,7]=>[7,3,6,2,1,5,4]
[2,6,3,5,1,7,4]=>[3,6,2,1,5,4,7]
[2,6,3,5,4,1,7]=>[7,3,6,2,1,4,5]
[2,6,3,5,4,7,1]=>[3,6,4,5,2,1,7]
[2,6,3,5,7,1,4]=>[3,6,5,2,1,7,4]
[2,6,3,5,7,4,1]=>[3,6,5,2,1,4,7]
[2,6,3,7,1,4,5]=>[3,6,2,1,7,5,4]
[2,6,3,7,1,5,4]=>[3,6,2,1,7,4,5]
[2,6,3,7,4,1,5]=>[3,6,2,1,4,7,5]
[2,6,3,7,4,5,1]=>[3,6,4,7,2,1,5]
[2,6,3,7,5,1,4]=>[3,6,2,1,5,7,4]
[2,6,3,7,5,4,1]=>[3,6,2,1,4,5,7]
[2,6,4,1,3,5,7]=>[7,2,1,4,6,5,3]
[2,6,4,1,3,7,5]=>[2,1,4,6,5,7,3]
[2,6,4,1,5,3,7]=>[7,2,1,4,6,3,5]
[2,6,4,1,5,7,3]=>[2,1,4,6,5,3,7]
[2,6,4,1,7,3,5]=>[2,1,4,6,3,7,5]
[2,6,4,1,7,5,3]=>[2,1,4,6,3,5,7]
[2,6,4,3,1,5,7]=>[7,2,1,3,4,6,5]
[2,6,4,3,1,7,5]=>[2,1,3,4,6,5,7]
[2,6,4,3,5,1,7]=>[7,3,4,6,2,1,5]
[2,6,4,3,5,7,1]=>[3,4,6,5,2,1,7]
[2,6,4,3,7,1,5]=>[3,4,6,2,1,7,5]
[2,6,4,3,7,5,1]=>[3,4,6,2,1,5,7]
[2,6,4,5,1,3,7]=>[7,4,6,2,1,5,3]
[2,6,4,5,1,7,3]=>[4,6,2,1,5,3,7]
[2,6,4,5,3,1,7]=>[7,4,6,2,1,3,5]
[2,6,4,5,3,7,1]=>[4,6,3,5,2,1,7]
[2,6,4,5,7,1,3]=>[4,6,5,2,1,7,3]
[2,6,4,5,7,3,1]=>[4,6,5,2,1,3,7]
[2,6,4,7,1,3,5]=>[4,6,2,1,7,5,3]
[2,6,4,7,1,5,3]=>[4,6,2,1,7,3,5]
[2,6,4,7,3,1,5]=>[4,6,2,1,3,7,5]
[2,6,4,7,3,5,1]=>[4,6,3,7,2,1,5]
[2,6,4,7,5,1,3]=>[4,6,2,1,5,7,3]
[2,6,4,7,5,3,1]=>[4,6,2,1,3,5,7]
[2,6,5,1,3,4,7]=>[7,2,1,5,6,4,3]
[2,6,5,1,3,7,4]=>[2,1,5,6,4,7,3]
[2,6,5,1,4,3,7]=>[7,2,1,5,6,3,4]
[2,6,5,1,4,7,3]=>[2,1,5,6,4,3,7]
[2,6,5,1,7,3,4]=>[2,1,5,6,3,7,4]
[2,6,5,1,7,4,3]=>[2,1,5,6,3,4,7]
[2,6,5,3,1,4,7]=>[7,2,1,3,5,6,4]
[2,6,5,3,1,7,4]=>[2,1,3,5,6,4,7]
[2,6,5,3,4,1,7]=>[7,3,5,6,2,1,4]
[2,6,5,3,4,7,1]=>[3,5,6,4,2,1,7]
[2,6,5,3,7,1,4]=>[3,5,6,2,1,7,4]
[2,6,5,3,7,4,1]=>[3,5,6,2,1,4,7]
[2,6,5,4,1,3,7]=>[7,2,1,4,5,6,3]
[2,6,5,4,1,7,3]=>[2,1,4,5,6,3,7]
[2,6,5,4,3,1,7]=>[7,2,1,3,4,5,6]
[2,6,5,4,3,7,1]=>[3,4,5,6,2,1,7]
[2,6,5,4,7,1,3]=>[4,5,6,2,1,7,3]
[2,6,5,4,7,3,1]=>[4,5,6,2,1,3,7]
[2,6,5,7,1,3,4]=>[5,6,2,1,7,4,3]
[2,6,5,7,1,4,3]=>[5,6,2,1,7,3,4]
[2,6,5,7,3,1,4]=>[5,6,2,1,3,7,4]
[2,6,5,7,3,4,1]=>[5,6,3,7,2,1,4]
[2,6,5,7,4,1,3]=>[5,6,2,1,4,7,3]
[2,6,5,7,4,3,1]=>[5,6,2,1,3,4,7]
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]
[2,6,7,1,3,5,4]=>[6,2,1,7,4,5,3]
[2,6,7,1,4,3,5]=>[6,2,1,7,5,3,4]
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]
[2,6,7,3,1,4,5]=>[6,2,1,3,7,5,4]
[2,6,7,3,1,5,4]=>[6,2,1,3,7,4,5]
[2,6,7,3,4,1,5]=>[6,3,7,5,2,1,4]
[2,6,7,3,4,5,1]=>[6,3,7,4,2,1,5]
[2,6,7,3,5,1,4]=>[6,3,7,2,1,5,4]
[2,6,7,3,5,4,1]=>[6,3,7,2,1,4,5]
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]
[2,6,7,4,3,1,5]=>[6,2,1,3,4,7,5]
[2,6,7,4,3,5,1]=>[6,3,4,7,2,1,5]
[2,6,7,4,5,1,3]=>[6,4,7,2,1,5,3]
[2,6,7,4,5,3,1]=>[6,4,7,2,1,3,5]
[2,6,7,5,1,3,4]=>[6,2,1,5,7,4,3]
[2,6,7,5,1,4,3]=>[6,2,1,5,7,3,4]
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]
[2,6,7,5,3,4,1]=>[6,3,5,7,2,1,4]
[2,6,7,5,4,1,3]=>[6,2,1,4,5,7,3]
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]
[2,7,1,3,4,5,6]=>[2,1,7,6,5,4,3]
[2,7,1,3,4,6,5]=>[2,1,7,5,6,4,3]
[2,7,1,3,5,4,6]=>[2,1,7,6,4,5,3]
[2,7,1,3,5,6,4]=>[2,1,7,5,4,6,3]
[2,7,1,3,6,4,5]=>[2,1,7,4,6,5,3]
[2,7,1,3,6,5,4]=>[2,1,7,4,5,6,3]
[2,7,1,4,3,5,6]=>[2,1,7,6,5,3,4]
[2,7,1,4,3,6,5]=>[2,1,7,5,6,3,4]
[2,7,1,4,5,3,6]=>[2,1,7,6,4,3,5]
[2,7,1,4,5,6,3]=>[2,1,7,5,4,3,6]
[2,7,1,4,6,3,5]=>[2,1,7,4,3,6,5]
[2,7,1,4,6,5,3]=>[2,1,7,4,3,5,6]
[2,7,1,5,3,4,6]=>[2,1,7,6,3,5,4]
[2,7,1,5,3,6,4]=>[2,1,7,3,5,4,6]
[2,7,1,5,4,3,6]=>[2,1,7,6,3,4,5]
[2,7,1,5,4,6,3]=>[2,1,7,4,5,3,6]
[2,7,1,5,6,3,4]=>[2,1,7,5,3,6,4]
[2,7,1,5,6,4,3]=>[2,1,7,5,3,4,6]
[2,7,1,6,3,4,5]=>[2,1,7,3,6,5,4]
[2,7,1,6,3,5,4]=>[2,1,7,3,6,4,5]
[2,7,1,6,4,3,5]=>[2,1,7,3,4,6,5]
[2,7,1,6,4,5,3]=>[2,1,7,4,6,3,5]
[2,7,1,6,5,3,4]=>[2,1,7,3,5,6,4]
[2,7,1,6,5,4,3]=>[2,1,7,3,4,5,6]
[2,7,3,1,4,5,6]=>[2,1,3,7,6,5,4]
[2,7,3,1,4,6,5]=>[2,1,3,7,5,6,4]
[2,7,3,1,5,4,6]=>[2,1,3,7,6,4,5]
[2,7,3,1,5,6,4]=>[2,1,3,7,5,4,6]
[2,7,3,1,6,4,5]=>[2,1,3,7,4,6,5]
[2,7,3,1,6,5,4]=>[2,1,3,7,4,5,6]
[2,7,3,4,1,5,6]=>[3,7,6,5,2,1,4]
[2,7,3,4,1,6,5]=>[3,7,5,6,2,1,4]
[2,7,3,4,5,1,6]=>[3,7,6,4,2,1,5]
[2,7,3,4,5,6,1]=>[3,7,5,4,2,1,6]
[2,7,3,4,6,1,5]=>[3,7,4,2,1,6,5]
[2,7,3,4,6,5,1]=>[3,7,4,2,1,5,6]
[2,7,3,5,1,4,6]=>[3,7,6,2,1,5,4]
[2,7,3,5,1,6,4]=>[3,7,2,1,5,4,6]
[2,7,3,5,4,1,6]=>[3,7,6,2,1,4,5]
[2,7,3,5,4,6,1]=>[3,7,4,5,2,1,6]
[2,7,3,5,6,1,4]=>[3,7,5,2,1,6,4]
[2,7,3,5,6,4,1]=>[3,7,5,2,1,4,6]
[2,7,3,6,1,4,5]=>[3,7,2,1,6,5,4]
[2,7,3,6,1,5,4]=>[3,7,2,1,6,4,5]
[2,7,3,6,4,1,5]=>[3,7,2,1,4,6,5]
[2,7,3,6,4,5,1]=>[3,7,4,6,2,1,5]
[2,7,3,6,5,1,4]=>[3,7,2,1,5,6,4]
[2,7,3,6,5,4,1]=>[3,7,2,1,4,5,6]
[2,7,4,1,3,5,6]=>[2,1,4,7,6,5,3]
[2,7,4,1,3,6,5]=>[2,1,4,7,5,6,3]
[2,7,4,1,5,3,6]=>[2,1,4,7,6,3,5]
[2,7,4,1,5,6,3]=>[2,1,4,7,5,3,6]
[2,7,4,1,6,3,5]=>[2,1,4,7,3,6,5]
[2,7,4,1,6,5,3]=>[2,1,4,7,3,5,6]
[2,7,4,3,1,5,6]=>[2,1,3,4,7,6,5]
[2,7,4,3,1,6,5]=>[2,1,3,4,7,5,6]
[2,7,4,3,5,1,6]=>[3,4,7,6,2,1,5]
[2,7,4,3,5,6,1]=>[3,4,7,5,2,1,6]
[2,7,4,3,6,1,5]=>[3,4,7,2,1,6,5]
[2,7,4,3,6,5,1]=>[3,4,7,2,1,5,6]
[2,7,4,5,1,3,6]=>[4,7,6,2,1,5,3]
[2,7,4,5,1,6,3]=>[4,7,2,1,5,3,6]
[2,7,4,5,3,1,6]=>[4,7,6,2,1,3,5]
[2,7,4,5,3,6,1]=>[4,7,3,5,2,1,6]
[2,7,4,5,6,1,3]=>[4,7,5,2,1,6,3]
[2,7,4,5,6,3,1]=>[4,7,5,2,1,3,6]
[2,7,4,6,1,3,5]=>[4,7,2,1,6,5,3]
[2,7,4,6,1,5,3]=>[4,7,2,1,6,3,5]
[2,7,4,6,3,1,5]=>[4,7,2,1,3,6,5]
[2,7,4,6,3,5,1]=>[4,7,3,6,2,1,5]
[2,7,4,6,5,1,3]=>[4,7,2,1,5,6,3]
[2,7,4,6,5,3,1]=>[4,7,2,1,3,5,6]
[2,7,5,1,3,4,6]=>[2,1,5,7,6,4,3]
[2,7,5,1,3,6,4]=>[2,1,5,7,4,6,3]
[2,7,5,1,4,3,6]=>[2,1,5,7,6,3,4]
[2,7,5,1,4,6,3]=>[2,1,5,7,4,3,6]
[2,7,5,1,6,3,4]=>[2,1,5,7,3,6,4]
[2,7,5,1,6,4,3]=>[2,1,5,7,3,4,6]
[2,7,5,3,1,4,6]=>[2,1,3,5,7,6,4]
[2,7,5,3,1,6,4]=>[2,1,3,5,7,4,6]
[2,7,5,3,4,1,6]=>[3,5,7,6,2,1,4]
[2,7,5,3,4,6,1]=>[3,5,7,4,2,1,6]
[2,7,5,3,6,1,4]=>[3,5,7,2,1,6,4]
[2,7,5,3,6,4,1]=>[3,5,7,2,1,4,6]
[2,7,5,4,1,3,6]=>[2,1,4,5,7,6,3]
[2,7,5,4,1,6,3]=>[2,1,4,5,7,3,6]
[2,7,5,4,3,1,6]=>[2,1,3,4,5,7,6]
[2,7,5,4,3,6,1]=>[3,4,5,7,2,1,6]
[2,7,5,4,6,1,3]=>[4,5,7,2,1,6,3]
[2,7,5,4,6,3,1]=>[4,5,7,2,1,3,6]
[2,7,5,6,1,3,4]=>[5,7,2,1,6,4,3]
[2,7,5,6,1,4,3]=>[5,7,2,1,6,3,4]
[2,7,5,6,3,1,4]=>[5,7,2,1,3,6,4]
[2,7,5,6,3,4,1]=>[5,7,3,6,2,1,4]
[2,7,5,6,4,1,3]=>[5,7,2,1,4,6,3]
[2,7,5,6,4,3,1]=>[5,7,2,1,3,4,6]
[2,7,6,1,3,4,5]=>[2,1,6,7,5,4,3]
[2,7,6,1,3,5,4]=>[2,1,6,7,4,5,3]
[2,7,6,1,4,3,5]=>[2,1,6,7,5,3,4]
[2,7,6,1,4,5,3]=>[2,1,6,7,4,3,5]
[2,7,6,1,5,3,4]=>[2,1,6,7,3,5,4]
[2,7,6,1,5,4,3]=>[2,1,6,7,3,4,5]
[2,7,6,3,1,4,5]=>[2,1,3,6,7,5,4]
[2,7,6,3,1,5,4]=>[2,1,3,6,7,4,5]
[2,7,6,3,4,1,5]=>[3,6,7,5,2,1,4]
[2,7,6,3,4,5,1]=>[3,6,7,4,2,1,5]
[2,7,6,3,5,1,4]=>[3,6,7,2,1,5,4]
[2,7,6,3,5,4,1]=>[3,6,7,2,1,4,5]
[2,7,6,4,1,3,5]=>[2,1,4,6,7,5,3]
[2,7,6,4,1,5,3]=>[2,1,4,6,7,3,5]
[2,7,6,4,3,1,5]=>[2,1,3,4,6,7,5]
[2,7,6,4,3,5,1]=>[3,4,6,7,2,1,5]
[2,7,6,4,5,1,3]=>[4,6,7,2,1,5,3]
[2,7,6,4,5,3,1]=>[4,6,7,2,1,3,5]
[2,7,6,5,1,3,4]=>[2,1,5,6,7,4,3]
[2,7,6,5,1,4,3]=>[2,1,5,6,7,3,4]
[2,7,6,5,3,1,4]=>[2,1,3,5,6,7,4]
[2,7,6,5,3,4,1]=>[3,5,6,7,2,1,4]
[2,7,6,5,4,1,3]=>[2,1,4,5,6,7,3]
[2,7,6,5,4,3,1]=>[2,1,3,4,5,6,7]
[3,1,2,4,5,6,7]=>[7,6,5,4,1,3,2]
[3,1,2,4,5,7,6]=>[6,7,5,4,1,3,2]
[3,1,2,4,6,5,7]=>[7,5,6,4,1,3,2]
[3,1,2,4,6,7,5]=>[6,5,7,4,1,3,2]
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]
[3,1,2,4,7,6,5]=>[5,6,7,4,1,3,2]
[3,1,2,5,4,6,7]=>[7,6,4,5,1,3,2]
[3,1,2,5,4,7,6]=>[6,7,4,5,1,3,2]
[3,1,2,5,6,4,7]=>[7,5,4,6,1,3,2]
[3,1,2,5,6,7,4]=>[6,5,4,7,1,3,2]
[3,1,2,5,7,4,6]=>[5,4,7,6,1,3,2]
[3,1,2,5,7,6,4]=>[5,4,6,7,1,3,2]
[3,1,2,6,4,5,7]=>[7,4,6,5,1,3,2]
[3,1,2,6,4,7,5]=>[4,6,5,7,1,3,2]
[3,1,2,6,5,4,7]=>[7,4,5,6,1,3,2]
[3,1,2,6,5,7,4]=>[5,6,4,7,1,3,2]
[3,1,2,6,7,4,5]=>[6,4,7,5,1,3,2]
[3,1,2,6,7,5,4]=>[6,4,5,7,1,3,2]
[3,1,2,7,4,5,6]=>[4,7,6,5,1,3,2]
[3,1,2,7,4,6,5]=>[4,7,5,6,1,3,2]
[3,1,2,7,5,4,6]=>[4,5,7,6,1,3,2]
[3,1,2,7,5,6,4]=>[5,7,4,6,1,3,2]
[3,1,2,7,6,4,5]=>[4,6,7,5,1,3,2]
[3,1,2,7,6,5,4]=>[4,5,6,7,1,3,2]
[3,1,4,2,5,6,7]=>[7,6,5,1,3,2,4]
[3,1,4,2,5,7,6]=>[6,7,5,1,3,2,4]
[3,1,4,2,6,5,7]=>[7,5,6,1,3,2,4]
[3,1,4,2,6,7,5]=>[6,5,7,1,3,2,4]
[3,1,4,2,7,5,6]=>[5,7,6,1,3,2,4]
[3,1,4,2,7,6,5]=>[5,6,7,1,3,2,4]
[3,1,4,5,2,6,7]=>[7,6,4,1,3,2,5]
[3,1,4,5,2,7,6]=>[6,7,4,1,3,2,5]
[3,1,4,5,6,2,7]=>[7,5,4,1,3,2,6]
[3,1,4,5,6,7,2]=>[6,5,4,1,3,2,7]
[3,1,4,5,7,2,6]=>[5,4,1,3,2,7,6]
[3,1,4,5,7,6,2]=>[5,4,1,3,2,6,7]
[3,1,4,6,2,5,7]=>[7,4,1,3,2,6,5]
[3,1,4,6,2,7,5]=>[4,1,3,2,6,5,7]
[3,1,4,6,5,2,7]=>[7,4,1,3,2,5,6]
[3,1,4,6,5,7,2]=>[5,6,4,1,3,2,7]
[3,1,4,6,7,2,5]=>[6,4,1,3,2,7,5]
[3,1,4,6,7,5,2]=>[6,4,1,3,2,5,7]
[3,1,4,7,2,5,6]=>[4,1,3,2,7,6,5]
[3,1,4,7,2,6,5]=>[4,1,3,2,7,5,6]
[3,1,4,7,5,2,6]=>[4,1,3,2,5,7,6]
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]
[3,1,4,7,6,2,5]=>[4,1,3,2,6,7,5]
[3,1,4,7,6,5,2]=>[4,1,3,2,5,6,7]
[3,1,5,2,4,6,7]=>[7,6,1,3,2,5,4]
[3,1,5,2,4,7,6]=>[6,7,1,3,2,5,4]
[3,1,5,2,6,4,7]=>[7,1,3,2,5,4,6]
[3,1,5,2,6,7,4]=>[6,1,3,2,5,4,7]
[3,1,5,2,7,4,6]=>[1,3,2,5,4,7,6]
[3,1,5,2,7,6,4]=>[1,3,2,5,4,6,7]
[3,1,5,4,2,6,7]=>[7,6,1,3,2,4,5]
[3,1,5,4,2,7,6]=>[6,7,1,3,2,4,5]
[3,1,5,4,6,2,7]=>[7,4,5,1,3,2,6]
[3,1,5,4,6,7,2]=>[6,4,5,1,3,2,7]
[3,1,5,4,7,2,6]=>[4,5,1,3,2,7,6]
[3,1,5,4,7,6,2]=>[4,5,1,3,2,6,7]
[3,1,5,6,2,4,7]=>[7,5,1,3,2,6,4]
[3,1,5,6,2,7,4]=>[5,1,3,2,6,4,7]
[3,1,5,6,4,2,7]=>[7,5,1,3,2,4,6]
[3,1,5,6,4,7,2]=>[5,4,6,1,3,2,7]
[3,1,5,6,7,2,4]=>[6,5,1,3,2,7,4]
[3,1,5,6,7,4,2]=>[6,5,1,3,2,4,7]
[3,1,5,7,2,4,6]=>[5,1,3,2,7,6,4]
[3,1,5,7,2,6,4]=>[5,1,3,2,7,4,6]
[3,1,5,7,4,2,6]=>[5,1,3,2,4,7,6]
[3,1,5,7,4,6,2]=>[5,4,7,1,3,2,6]
[3,1,5,7,6,2,4]=>[5,1,3,2,6,7,4]
[3,1,5,7,6,4,2]=>[5,1,3,2,4,6,7]
[3,1,6,2,4,5,7]=>[7,1,3,2,6,5,4]
[3,1,6,2,4,7,5]=>[1,3,2,6,5,7,4]
[3,1,6,2,5,4,7]=>[7,1,3,2,6,4,5]
[3,1,6,2,5,7,4]=>[1,3,2,6,5,4,7]
[3,1,6,2,7,4,5]=>[1,3,2,6,4,7,5]
[3,1,6,2,7,5,4]=>[1,3,2,6,4,5,7]
[3,1,6,4,2,5,7]=>[7,1,3,2,4,6,5]
[3,1,6,4,2,7,5]=>[1,3,2,4,6,5,7]
[3,1,6,4,5,2,7]=>[7,4,6,1,3,2,5]
[3,1,6,4,5,7,2]=>[4,6,5,1,3,2,7]
[3,1,6,4,7,2,5]=>[4,6,1,3,2,7,5]
[3,1,6,4,7,5,2]=>[4,6,1,3,2,5,7]
[3,1,6,5,2,4,7]=>[7,1,3,2,5,6,4]
[3,1,6,5,2,7,4]=>[1,3,2,5,6,4,7]
[3,1,6,5,4,2,7]=>[7,1,3,2,4,5,6]
[3,1,6,5,4,7,2]=>[4,5,6,1,3,2,7]
[3,1,6,5,7,2,4]=>[5,6,1,3,2,7,4]
[3,1,6,5,7,4,2]=>[5,6,1,3,2,4,7]
[3,1,6,7,2,4,5]=>[6,1,3,2,7,5,4]
[3,1,6,7,2,5,4]=>[6,1,3,2,7,4,5]
[3,1,6,7,4,2,5]=>[6,1,3,2,4,7,5]
[3,1,6,7,4,5,2]=>[6,4,7,1,3,2,5]
[3,1,6,7,5,2,4]=>[6,1,3,2,5,7,4]
[3,1,6,7,5,4,2]=>[6,1,3,2,4,5,7]
[3,1,7,2,4,5,6]=>[1,3,2,7,6,5,4]
[3,1,7,2,4,6,5]=>[1,3,2,7,5,6,4]
[3,1,7,2,5,4,6]=>[1,3,2,7,6,4,5]
[3,1,7,2,5,6,4]=>[1,3,2,7,5,4,6]
[3,1,7,2,6,4,5]=>[1,3,2,7,4,6,5]
[3,1,7,2,6,5,4]=>[1,3,2,7,4,5,6]
[3,1,7,4,2,5,6]=>[1,3,2,4,7,6,5]
[3,1,7,4,2,6,5]=>[1,3,2,4,7,5,6]
[3,1,7,4,5,2,6]=>[4,7,6,1,3,2,5]
[3,1,7,4,5,6,2]=>[4,7,5,1,3,2,6]
[3,1,7,4,6,2,5]=>[4,7,1,3,2,6,5]
[3,1,7,4,6,5,2]=>[4,7,1,3,2,5,6]
[3,1,7,5,2,4,6]=>[1,3,2,5,7,6,4]
[3,1,7,5,2,6,4]=>[1,3,2,5,7,4,6]
[3,1,7,5,4,2,6]=>[1,3,2,4,5,7,6]
[3,1,7,5,4,6,2]=>[4,5,7,1,3,2,6]
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]
[3,1,7,6,2,4,5]=>[1,3,2,6,7,5,4]
[3,1,7,6,2,5,4]=>[1,3,2,6,7,4,5]
[3,1,7,6,4,2,5]=>[1,3,2,4,6,7,5]
[3,1,7,6,4,5,2]=>[4,6,7,1,3,2,5]
[3,1,7,6,5,2,4]=>[1,3,2,5,6,7,4]
[3,1,7,6,5,4,2]=>[1,3,2,4,5,6,7]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]
[3,2,1,4,6,7,5]=>[6,5,7,4,1,2,3]
[3,2,1,4,7,5,6]=>[5,7,6,4,1,2,3]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]
[3,2,1,5,6,4,7]=>[7,5,4,6,1,2,3]
[3,2,1,5,6,7,4]=>[6,5,4,7,1,2,3]
[3,2,1,5,7,4,6]=>[5,4,7,6,1,2,3]
[3,2,1,5,7,6,4]=>[5,4,6,7,1,2,3]
[3,2,1,6,4,5,7]=>[7,4,6,5,1,2,3]
[3,2,1,6,4,7,5]=>[4,6,5,7,1,2,3]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]
[3,2,1,6,5,7,4]=>[5,6,4,7,1,2,3]
[3,2,1,6,7,4,5]=>[6,4,7,5,1,2,3]
[3,2,1,6,7,5,4]=>[6,4,5,7,1,2,3]
[3,2,1,7,4,5,6]=>[4,7,6,5,1,2,3]
[3,2,1,7,4,6,5]=>[4,7,5,6,1,2,3]
[3,2,1,7,5,4,6]=>[4,5,7,6,1,2,3]
[3,2,1,7,5,6,4]=>[5,7,4,6,1,2,3]
[3,2,1,7,6,4,5]=>[4,6,7,5,1,2,3]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]
[3,2,4,1,5,6,7]=>[7,6,5,2,3,1,4]
[3,2,4,1,5,7,6]=>[6,7,5,2,3,1,4]
[3,2,4,1,6,5,7]=>[7,5,6,2,3,1,4]
[3,2,4,1,6,7,5]=>[6,5,7,2,3,1,4]
[3,2,4,1,7,5,6]=>[5,7,6,2,3,1,4]
[3,2,4,1,7,6,5]=>[5,6,7,2,3,1,4]
[3,2,4,5,1,6,7]=>[7,6,4,2,3,1,5]
[3,2,4,5,1,7,6]=>[6,7,4,2,3,1,5]
[3,2,4,5,6,1,7]=>[7,5,4,2,3,1,6]
[3,2,4,5,6,7,1]=>[6,5,4,2,3,1,7]
[3,2,4,5,7,1,6]=>[5,4,2,3,1,7,6]
[3,2,4,5,7,6,1]=>[5,4,2,3,1,6,7]
[3,2,4,6,1,5,7]=>[7,4,2,3,1,6,5]
[3,2,4,6,1,7,5]=>[4,2,3,1,6,5,7]
[3,2,4,6,5,1,7]=>[7,4,2,3,1,5,6]
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]
[3,2,4,6,7,1,5]=>[6,4,2,3,1,7,5]
[3,2,4,6,7,5,1]=>[6,4,2,3,1,5,7]
[3,2,4,7,1,5,6]=>[4,2,3,1,7,6,5]
[3,2,4,7,1,6,5]=>[4,2,3,1,7,5,6]
[3,2,4,7,5,1,6]=>[4,2,3,1,5,7,6]
[3,2,4,7,5,6,1]=>[5,7,4,2,3,1,6]
[3,2,4,7,6,1,5]=>[4,2,3,1,6,7,5]
[3,2,4,7,6,5,1]=>[4,2,3,1,5,6,7]
[3,2,5,1,4,6,7]=>[7,6,2,3,1,5,4]
[3,2,5,1,4,7,6]=>[6,7,2,3,1,5,4]
[3,2,5,1,6,4,7]=>[7,2,3,1,5,4,6]
[3,2,5,1,6,7,4]=>[6,2,3,1,5,4,7]
[3,2,5,1,7,4,6]=>[2,3,1,5,4,7,6]
[3,2,5,1,7,6,4]=>[2,3,1,5,4,6,7]
[3,2,5,4,1,6,7]=>[7,6,2,3,1,4,5]
[3,2,5,4,1,7,6]=>[6,7,2,3,1,4,5]
[3,2,5,4,6,1,7]=>[7,4,5,2,3,1,6]
[3,2,5,4,6,7,1]=>[6,4,5,2,3,1,7]
[3,2,5,4,7,1,6]=>[4,5,2,3,1,7,6]
[3,2,5,4,7,6,1]=>[4,5,2,3,1,6,7]
[3,2,5,6,1,4,7]=>[7,5,2,3,1,6,4]
[3,2,5,6,1,7,4]=>[5,2,3,1,6,4,7]
[3,2,5,6,4,1,7]=>[7,5,2,3,1,4,6]
[3,2,5,6,4,7,1]=>[5,4,6,2,3,1,7]
[3,2,5,6,7,1,4]=>[6,5,2,3,1,7,4]
[3,2,5,6,7,4,1]=>[6,5,2,3,1,4,7]
[3,2,5,7,1,4,6]=>[5,2,3,1,7,6,4]
[3,2,5,7,1,6,4]=>[5,2,3,1,7,4,6]
[3,2,5,7,4,1,6]=>[5,2,3,1,4,7,6]
[3,2,5,7,4,6,1]=>[5,4,7,2,3,1,6]
[3,2,5,7,6,1,4]=>[5,2,3,1,6,7,4]
[3,2,5,7,6,4,1]=>[5,2,3,1,4,6,7]
[3,2,6,1,4,5,7]=>[7,2,3,1,6,5,4]
[3,2,6,1,4,7,5]=>[2,3,1,6,5,7,4]
[3,2,6,1,5,4,7]=>[7,2,3,1,6,4,5]
[3,2,6,1,5,7,4]=>[2,3,1,6,5,4,7]
[3,2,6,1,7,4,5]=>[2,3,1,6,4,7,5]
[3,2,6,1,7,5,4]=>[2,3,1,6,4,5,7]
[3,2,6,4,1,5,7]=>[7,2,3,1,4,6,5]
[3,2,6,4,1,7,5]=>[2,3,1,4,6,5,7]
[3,2,6,4,5,1,7]=>[7,4,6,2,3,1,5]
[3,2,6,4,5,7,1]=>[4,6,5,2,3,1,7]
[3,2,6,4,7,1,5]=>[4,6,2,3,1,7,5]
[3,2,6,4,7,5,1]=>[4,6,2,3,1,5,7]
[3,2,6,5,1,4,7]=>[7,2,3,1,5,6,4]
[3,2,6,5,1,7,4]=>[2,3,1,5,6,4,7]
[3,2,6,5,4,1,7]=>[7,2,3,1,4,5,6]
[3,2,6,5,4,7,1]=>[4,5,6,2,3,1,7]
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]
[3,2,6,7,1,4,5]=>[6,2,3,1,7,5,4]
[3,2,6,7,1,5,4]=>[6,2,3,1,7,4,5]
[3,2,6,7,4,1,5]=>[6,2,3,1,4,7,5]
[3,2,6,7,4,5,1]=>[6,4,7,2,3,1,5]
[3,2,6,7,5,1,4]=>[6,2,3,1,5,7,4]
[3,2,6,7,5,4,1]=>[6,2,3,1,4,5,7]
[3,2,7,1,4,5,6]=>[2,3,1,7,6,5,4]
[3,2,7,1,4,6,5]=>[2,3,1,7,5,6,4]
[3,2,7,1,5,4,6]=>[2,3,1,7,6,4,5]
[3,2,7,1,5,6,4]=>[2,3,1,7,5,4,6]
[3,2,7,1,6,4,5]=>[2,3,1,7,4,6,5]
[3,2,7,1,6,5,4]=>[2,3,1,7,4,5,6]
[3,2,7,4,1,5,6]=>[2,3,1,4,7,6,5]
[3,2,7,4,1,6,5]=>[2,3,1,4,7,5,6]
[3,2,7,4,5,1,6]=>[4,7,6,2,3,1,5]
[3,2,7,4,5,6,1]=>[4,7,5,2,3,1,6]
[3,2,7,4,6,1,5]=>[4,7,2,3,1,6,5]
[3,2,7,4,6,5,1]=>[4,7,2,3,1,5,6]
[3,2,7,5,1,4,6]=>[2,3,1,5,7,6,4]
[3,2,7,5,1,6,4]=>[2,3,1,5,7,4,6]
[3,2,7,5,4,1,6]=>[2,3,1,4,5,7,6]
[3,2,7,5,4,6,1]=>[4,5,7,2,3,1,6]
[3,2,7,5,6,1,4]=>[5,7,2,3,1,6,4]
[3,2,7,5,6,4,1]=>[5,7,2,3,1,4,6]
[3,2,7,6,1,4,5]=>[2,3,1,6,7,5,4]
[3,2,7,6,1,5,4]=>[2,3,1,6,7,4,5]
[3,2,7,6,4,1,5]=>[2,3,1,4,6,7,5]
[3,2,7,6,4,5,1]=>[4,6,7,2,3,1,5]
[3,2,7,6,5,1,4]=>[2,3,1,5,6,7,4]
[3,2,7,6,5,4,1]=>[2,3,1,4,5,6,7]
[3,4,1,2,5,6,7]=>[7,6,5,3,1,4,2]
[3,4,1,2,5,7,6]=>[6,7,5,3,1,4,2]
[3,4,1,2,6,5,7]=>[7,5,6,3,1,4,2]
[3,4,1,2,6,7,5]=>[6,5,7,3,1,4,2]
[3,4,1,2,7,5,6]=>[5,7,6,3,1,4,2]
[3,4,1,2,7,6,5]=>[5,6,7,3,1,4,2]
[3,4,1,5,2,6,7]=>[7,6,3,1,4,2,5]
[3,4,1,5,2,7,6]=>[6,7,3,1,4,2,5]
[3,4,1,5,6,2,7]=>[7,5,3,1,4,2,6]
[3,4,1,5,6,7,2]=>[6,5,3,1,4,2,7]
[3,4,1,5,7,2,6]=>[5,3,1,4,2,7,6]
[3,4,1,5,7,6,2]=>[5,3,1,4,2,6,7]
[3,4,1,6,2,5,7]=>[7,3,1,4,2,6,5]
[3,4,1,6,2,7,5]=>[3,1,4,2,6,5,7]
[3,4,1,6,5,2,7]=>[7,3,1,4,2,5,6]
[3,4,1,6,5,7,2]=>[5,6,3,1,4,2,7]
[3,4,1,6,7,2,5]=>[6,3,1,4,2,7,5]
[3,4,1,6,7,5,2]=>[6,3,1,4,2,5,7]
[3,4,1,7,2,5,6]=>[3,1,4,2,7,6,5]
[3,4,1,7,2,6,5]=>[3,1,4,2,7,5,6]
[3,4,1,7,5,2,6]=>[3,1,4,2,5,7,6]
[3,4,1,7,5,6,2]=>[5,7,3,1,4,2,6]
[3,4,1,7,6,2,5]=>[3,1,4,2,6,7,5]
[3,4,1,7,6,5,2]=>[3,1,4,2,5,6,7]
[3,4,2,1,5,6,7]=>[7,6,5,3,1,2,4]
[3,4,2,1,5,7,6]=>[6,7,5,3,1,2,4]
[3,4,2,1,6,5,7]=>[7,5,6,3,1,2,4]
[3,4,2,1,6,7,5]=>[6,5,7,3,1,2,4]
[3,4,2,1,7,5,6]=>[5,7,6,3,1,2,4]
[3,4,2,1,7,6,5]=>[5,6,7,3,1,2,4]
[3,4,2,5,1,6,7]=>[7,6,3,2,4,1,5]
[3,4,2,5,1,7,6]=>[6,7,3,2,4,1,5]
[3,4,2,5,6,1,7]=>[7,5,3,2,4,1,6]
[3,4,2,5,6,7,1]=>[6,5,3,2,4,1,7]
[3,4,2,5,7,1,6]=>[5,3,2,4,1,7,6]
[3,4,2,5,7,6,1]=>[5,3,2,4,1,6,7]
[3,4,2,6,1,5,7]=>[7,3,2,4,1,6,5]
[3,4,2,6,1,7,5]=>[3,2,4,1,6,5,7]
[3,4,2,6,5,1,7]=>[7,3,2,4,1,5,6]
[3,4,2,6,5,7,1]=>[5,6,3,2,4,1,7]
[3,4,2,6,7,1,5]=>[6,3,2,4,1,7,5]
[3,4,2,6,7,5,1]=>[6,3,2,4,1,5,7]
[3,4,2,7,1,5,6]=>[3,2,4,1,7,6,5]
[3,4,2,7,1,6,5]=>[3,2,4,1,7,5,6]
[3,4,2,7,5,1,6]=>[3,2,4,1,5,7,6]
[3,4,2,7,5,6,1]=>[5,7,3,2,4,1,6]
[3,4,2,7,6,1,5]=>[3,2,4,1,6,7,5]
[3,4,2,7,6,5,1]=>[3,2,4,1,5,6,7]
[3,4,5,1,2,6,7]=>[7,6,4,3,1,5,2]
[3,4,5,1,2,7,6]=>[6,7,4,3,1,5,2]
[3,4,5,1,6,2,7]=>[7,4,3,1,5,2,6]
[3,4,5,1,6,7,2]=>[6,4,3,1,5,2,7]
[3,4,5,1,7,2,6]=>[4,3,1,5,2,7,6]
[3,4,5,1,7,6,2]=>[4,3,1,5,2,6,7]
[3,4,5,2,1,6,7]=>[7,6,4,3,1,2,5]
[3,4,5,2,1,7,6]=>[6,7,4,3,1,2,5]
[3,4,5,2,6,1,7]=>[7,4,3,2,5,1,6]
[3,4,5,2,6,7,1]=>[6,4,3,2,5,1,7]
[3,4,5,2,7,1,6]=>[4,3,2,5,1,7,6]
[3,4,5,2,7,6,1]=>[4,3,2,5,1,6,7]
[3,4,5,6,1,2,7]=>[7,5,4,3,1,6,2]
[3,4,5,6,1,7,2]=>[5,4,3,1,6,2,7]
[3,4,5,6,2,1,7]=>[7,5,4,3,1,2,6]
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]
[3,4,5,6,7,1,2]=>[6,5,4,3,1,7,2]
[3,4,5,6,7,2,1]=>[6,5,4,3,1,2,7]
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]
[3,4,5,7,2,1,6]=>[5,4,3,1,2,7,6]
[3,4,5,7,2,6,1]=>[5,4,3,2,7,1,6]
[3,4,5,7,6,1,2]=>[5,4,3,1,6,7,2]
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]
[3,4,6,1,2,5,7]=>[7,4,3,1,6,5,2]
[3,4,6,1,2,7,5]=>[4,3,1,6,5,7,2]
[3,4,6,1,5,2,7]=>[7,4,3,1,6,2,5]
[3,4,6,1,5,7,2]=>[4,3,1,6,5,2,7]
[3,4,6,1,7,2,5]=>[4,3,1,6,2,7,5]
[3,4,6,1,7,5,2]=>[4,3,1,6,2,5,7]
[3,4,6,2,1,5,7]=>[7,4,3,1,2,6,5]
[3,4,6,2,1,7,5]=>[4,3,1,2,6,5,7]
[3,4,6,2,5,1,7]=>[7,4,3,2,6,1,5]
[3,4,6,2,5,7,1]=>[4,3,2,6,5,1,7]
[3,4,6,2,7,1,5]=>[4,3,2,6,1,7,5]
[3,4,6,2,7,5,1]=>[4,3,2,6,1,5,7]
[3,4,6,5,1,2,7]=>[7,4,3,1,5,6,2]
[3,4,6,5,1,7,2]=>[4,3,1,5,6,2,7]
[3,4,6,5,2,1,7]=>[7,4,3,1,2,5,6]
[3,4,6,5,2,7,1]=>[4,3,2,5,6,1,7]
[3,4,6,5,7,1,2]=>[5,6,4,3,1,7,2]
[3,4,6,5,7,2,1]=>[5,6,4,3,1,2,7]
[3,4,6,7,1,2,5]=>[6,4,3,1,7,5,2]
[3,4,6,7,1,5,2]=>[6,4,3,1,7,2,5]
[3,4,6,7,2,1,5]=>[6,4,3,1,2,7,5]
[3,4,6,7,2,5,1]=>[6,4,3,2,7,1,5]
[3,4,6,7,5,1,2]=>[6,4,3,1,5,7,2]
[3,4,6,7,5,2,1]=>[6,4,3,1,2,5,7]
[3,4,7,1,2,5,6]=>[4,3,1,7,6,5,2]
[3,4,7,1,2,6,5]=>[4,3,1,7,5,6,2]
[3,4,7,1,5,2,6]=>[4,3,1,7,6,2,5]
[3,4,7,1,5,6,2]=>[4,3,1,7,5,2,6]
[3,4,7,1,6,2,5]=>[4,3,1,7,2,6,5]
[3,4,7,1,6,5,2]=>[4,3,1,7,2,5,6]
[3,4,7,2,1,5,6]=>[4,3,1,2,7,6,5]
[3,4,7,2,1,6,5]=>[4,3,1,2,7,5,6]
[3,4,7,2,5,1,6]=>[4,3,2,7,6,1,5]
[3,4,7,2,5,6,1]=>[4,3,2,7,5,1,6]
[3,4,7,2,6,1,5]=>[4,3,2,7,1,6,5]
[3,4,7,2,6,5,1]=>[4,3,2,7,1,5,6]
[3,4,7,5,1,2,6]=>[4,3,1,5,7,6,2]
[3,4,7,5,1,6,2]=>[4,3,1,5,7,2,6]
[3,4,7,5,2,1,6]=>[4,3,1,2,5,7,6]
[3,4,7,5,2,6,1]=>[4,3,2,5,7,1,6]
[3,4,7,5,6,1,2]=>[5,7,4,3,1,6,2]
[3,4,7,5,6,2,1]=>[5,7,4,3,1,2,6]
[3,4,7,6,1,2,5]=>[4,3,1,6,7,5,2]
[3,4,7,6,1,5,2]=>[4,3,1,6,7,2,5]
[3,4,7,6,2,1,5]=>[4,3,1,2,6,7,5]
[3,4,7,6,2,5,1]=>[4,3,2,6,7,1,5]
[3,4,7,6,5,1,2]=>[4,3,1,5,6,7,2]
[3,4,7,6,5,2,1]=>[4,3,1,2,5,6,7]
[3,5,1,2,4,6,7]=>[7,6,3,1,5,4,2]
[3,5,1,2,4,7,6]=>[6,7,3,1,5,4,2]
[3,5,1,2,6,4,7]=>[7,3,1,5,4,6,2]
[3,5,1,2,6,7,4]=>[6,3,1,5,4,7,2]
[3,5,1,2,7,4,6]=>[3,1,5,4,7,6,2]
[3,5,1,2,7,6,4]=>[3,1,5,4,6,7,2]
[3,5,1,4,2,6,7]=>[7,6,3,1,5,2,4]
[3,5,1,4,2,7,6]=>[6,7,3,1,5,2,4]
[3,5,1,4,6,2,7]=>[7,3,1,5,4,2,6]
[3,5,1,4,6,7,2]=>[6,3,1,5,4,2,7]
[3,5,1,4,7,2,6]=>[3,1,5,4,2,7,6]
[3,5,1,4,7,6,2]=>[3,1,5,4,2,6,7]
[3,5,1,6,2,4,7]=>[7,3,1,5,2,6,4]
[3,5,1,6,2,7,4]=>[3,1,5,2,6,4,7]
[3,5,1,6,4,2,7]=>[7,3,1,5,2,4,6]
[3,5,1,6,4,7,2]=>[3,1,5,4,6,2,7]
[3,5,1,6,7,2,4]=>[6,3,1,5,2,7,4]
[3,5,1,6,7,4,2]=>[6,3,1,5,2,4,7]
[3,5,1,7,2,4,6]=>[3,1,5,2,7,6,4]
[3,5,1,7,2,6,4]=>[3,1,5,2,7,4,6]
[3,5,1,7,4,2,6]=>[3,1,5,2,4,7,6]
[3,5,1,7,4,6,2]=>[3,1,5,4,7,2,6]
[3,5,1,7,6,2,4]=>[3,1,5,2,6,7,4]
[3,5,1,7,6,4,2]=>[3,1,5,2,4,6,7]
[3,5,2,1,4,6,7]=>[7,6,3,1,2,5,4]
[3,5,2,1,4,7,6]=>[6,7,3,1,2,5,4]
[3,5,2,1,6,4,7]=>[7,3,1,2,5,4,6]
[3,5,2,1,6,7,4]=>[6,3,1,2,5,4,7]
[3,5,2,1,7,4,6]=>[3,1,2,5,4,7,6]
[3,5,2,1,7,6,4]=>[3,1,2,5,4,6,7]
[3,5,2,4,1,6,7]=>[7,6,3,2,5,1,4]
[3,5,2,4,1,7,6]=>[6,7,3,2,5,1,4]
[3,5,2,4,6,1,7]=>[7,3,2,5,4,1,6]
[3,5,2,4,6,7,1]=>[6,3,2,5,4,1,7]
[3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]
[3,5,2,4,7,6,1]=>[3,2,5,4,1,6,7]
[3,5,2,6,1,4,7]=>[7,3,2,5,1,6,4]
[3,5,2,6,1,7,4]=>[3,2,5,1,6,4,7]
[3,5,2,6,4,1,7]=>[7,3,2,5,1,4,6]
[3,5,2,6,4,7,1]=>[3,2,5,4,6,1,7]
[3,5,2,6,7,1,4]=>[6,3,2,5,1,7,4]
[3,5,2,6,7,4,1]=>[6,3,2,5,1,4,7]
[3,5,2,7,1,4,6]=>[3,2,5,1,7,6,4]
[3,5,2,7,1,6,4]=>[3,2,5,1,7,4,6]
[3,5,2,7,4,1,6]=>[3,2,5,1,4,7,6]
[3,5,2,7,4,6,1]=>[3,2,5,4,7,1,6]
[3,5,2,7,6,1,4]=>[3,2,5,1,6,7,4]
[3,5,2,7,6,4,1]=>[3,2,5,1,4,6,7]
[3,5,4,1,2,6,7]=>[7,6,3,1,4,5,2]
[3,5,4,1,2,7,6]=>[6,7,3,1,4,5,2]
[3,5,4,1,6,2,7]=>[7,3,1,4,5,2,6]
[3,5,4,1,6,7,2]=>[6,3,1,4,5,2,7]
[3,5,4,1,7,2,6]=>[3,1,4,5,2,7,6]
[3,5,4,1,7,6,2]=>[3,1,4,5,2,6,7]
[3,5,4,2,1,6,7]=>[7,6,3,1,2,4,5]
[3,5,4,2,1,7,6]=>[6,7,3,1,2,4,5]
[3,5,4,2,6,1,7]=>[7,3,2,4,5,1,6]
[3,5,4,2,6,7,1]=>[6,3,2,4,5,1,7]
[3,5,4,2,7,1,6]=>[3,2,4,5,1,7,6]
[3,5,4,2,7,6,1]=>[3,2,4,5,1,6,7]
[3,5,4,6,1,2,7]=>[7,4,5,3,1,6,2]
[3,5,4,6,1,7,2]=>[4,5,3,1,6,2,7]
[3,5,4,6,2,1,7]=>[7,4,5,3,1,2,6]
[3,5,4,6,2,7,1]=>[4,5,3,2,6,1,7]
[3,5,4,6,7,1,2]=>[6,4,5,3,1,7,2]
[3,5,4,6,7,2,1]=>[6,4,5,3,1,2,7]
[3,5,4,7,1,2,6]=>[4,5,3,1,7,6,2]
[3,5,4,7,1,6,2]=>[4,5,3,1,7,2,6]
[3,5,4,7,2,1,6]=>[4,5,3,1,2,7,6]
[3,5,4,7,2,6,1]=>[4,5,3,2,7,1,6]
[3,5,4,7,6,1,2]=>[4,5,3,1,6,7,2]
[3,5,4,7,6,2,1]=>[4,5,3,1,2,6,7]
[3,5,6,1,2,4,7]=>[7,5,3,1,6,4,2]
[3,5,6,1,2,7,4]=>[5,3,1,6,4,7,2]
[3,5,6,1,4,2,7]=>[7,5,3,1,6,2,4]
[3,5,6,1,4,7,2]=>[5,3,1,6,4,2,7]
[3,5,6,1,7,2,4]=>[5,3,1,6,2,7,4]
[3,5,6,1,7,4,2]=>[5,3,1,6,2,4,7]
[3,5,6,2,1,4,7]=>[7,5,3,1,2,6,4]
[3,5,6,2,1,7,4]=>[5,3,1,2,6,4,7]
[3,5,6,2,4,1,7]=>[7,5,3,2,6,1,4]
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]
[3,5,6,4,1,2,7]=>[7,5,3,1,4,6,2]
[3,5,6,4,1,7,2]=>[5,3,1,4,6,2,7]
[3,5,6,4,2,1,7]=>[7,5,3,1,2,4,6]
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]
[3,5,6,4,7,1,2]=>[5,4,6,3,1,7,2]
[3,5,6,4,7,2,1]=>[5,4,6,3,1,2,7]
[3,5,6,7,1,2,4]=>[6,5,3,1,7,4,2]
[3,5,6,7,1,4,2]=>[6,5,3,1,7,2,4]
[3,5,6,7,2,1,4]=>[6,5,3,1,2,7,4]
[3,5,6,7,2,4,1]=>[6,5,3,2,7,1,4]
[3,5,6,7,4,1,2]=>[6,5,3,1,4,7,2]
[3,5,6,7,4,2,1]=>[6,5,3,1,2,4,7]
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]
[3,5,7,1,2,6,4]=>[5,3,1,7,4,6,2]
[3,5,7,1,4,2,6]=>[5,3,1,7,6,2,4]
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]
[3,5,7,2,1,4,6]=>[5,3,1,2,7,6,4]
[3,5,7,2,1,6,4]=>[5,3,1,2,7,4,6]
[3,5,7,2,4,1,6]=>[5,3,2,7,6,1,4]
[3,5,7,2,4,6,1]=>[5,3,2,7,4,1,6]
[3,5,7,2,6,1,4]=>[5,3,2,7,1,6,4]
[3,5,7,2,6,4,1]=>[5,3,2,7,1,4,6]
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]
[3,5,7,4,2,1,6]=>[5,3,1,2,4,7,6]
[3,5,7,4,2,6,1]=>[5,3,2,4,7,1,6]
[3,5,7,4,6,1,2]=>[5,4,7,3,1,6,2]
[3,5,7,4,6,2,1]=>[5,4,7,3,1,2,6]
[3,5,7,6,1,2,4]=>[5,3,1,6,7,4,2]
[3,5,7,6,1,4,2]=>[5,3,1,6,7,2,4]
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]
[3,5,7,6,2,4,1]=>[5,3,2,6,7,1,4]
[3,5,7,6,4,1,2]=>[5,3,1,4,6,7,2]
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]
[3,6,1,2,4,5,7]=>[7,3,1,6,5,4,2]
[3,6,1,2,4,7,5]=>[3,1,6,5,7,4,2]
[3,6,1,2,5,4,7]=>[7,3,1,6,4,5,2]
[3,6,1,2,5,7,4]=>[3,1,6,5,4,7,2]
[3,6,1,2,7,4,5]=>[3,1,6,4,7,5,2]
[3,6,1,2,7,5,4]=>[3,1,6,4,5,7,2]
[3,6,1,4,2,5,7]=>[7,3,1,6,5,2,4]
[3,6,1,4,2,7,5]=>[3,1,6,5,7,2,4]
[3,6,1,4,5,2,7]=>[7,3,1,6,4,2,5]
[3,6,1,4,5,7,2]=>[3,1,6,5,4,2,7]
[3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]
[3,6,1,4,7,5,2]=>[3,1,6,4,2,5,7]
[3,6,1,5,2,4,7]=>[7,3,1,6,2,5,4]
[3,6,1,5,2,7,4]=>[3,1,6,2,5,4,7]
[3,6,1,5,4,2,7]=>[7,3,1,6,2,4,5]
[3,6,1,5,4,7,2]=>[3,1,6,4,5,2,7]
[3,6,1,5,7,2,4]=>[3,1,6,5,2,7,4]
[3,6,1,5,7,4,2]=>[3,1,6,5,2,4,7]
[3,6,1,7,2,4,5]=>[3,1,6,2,7,5,4]
[3,6,1,7,2,5,4]=>[3,1,6,2,7,4,5]
[3,6,1,7,4,2,5]=>[3,1,6,2,4,7,5]
[3,6,1,7,4,5,2]=>[3,1,6,4,7,2,5]
[3,6,1,7,5,2,4]=>[3,1,6,2,5,7,4]
[3,6,1,7,5,4,2]=>[3,1,6,2,4,5,7]
[3,6,2,1,4,5,7]=>[7,3,1,2,6,5,4]
[3,6,2,1,4,7,5]=>[3,1,2,6,5,7,4]
[3,6,2,1,5,4,7]=>[7,3,1,2,6,4,5]
[3,6,2,1,5,7,4]=>[3,1,2,6,5,4,7]
[3,6,2,1,7,4,5]=>[3,1,2,6,4,7,5]
[3,6,2,1,7,5,4]=>[3,1,2,6,4,5,7]
[3,6,2,4,1,5,7]=>[7,3,2,6,5,1,4]
[3,6,2,4,1,7,5]=>[3,2,6,5,7,1,4]
[3,6,2,4,5,1,7]=>[7,3,2,6,4,1,5]
[3,6,2,4,5,7,1]=>[3,2,6,5,4,1,7]
[3,6,2,4,7,1,5]=>[3,2,6,4,1,7,5]
[3,6,2,4,7,5,1]=>[3,2,6,4,1,5,7]
[3,6,2,5,1,4,7]=>[7,3,2,6,1,5,4]
[3,6,2,5,1,7,4]=>[3,2,6,1,5,4,7]
[3,6,2,5,4,1,7]=>[7,3,2,6,1,4,5]
[3,6,2,5,4,7,1]=>[3,2,6,4,5,1,7]
[3,6,2,5,7,1,4]=>[3,2,6,5,1,7,4]
[3,6,2,5,7,4,1]=>[3,2,6,5,1,4,7]
[3,6,2,7,1,4,5]=>[3,2,6,1,7,5,4]
[3,6,2,7,1,5,4]=>[3,2,6,1,7,4,5]
[3,6,2,7,4,1,5]=>[3,2,6,1,4,7,5]
[3,6,2,7,4,5,1]=>[3,2,6,4,7,1,5]
[3,6,2,7,5,1,4]=>[3,2,6,1,5,7,4]
[3,6,2,7,5,4,1]=>[3,2,6,1,4,5,7]
[3,6,4,1,2,5,7]=>[7,3,1,4,6,5,2]
[3,6,4,1,2,7,5]=>[3,1,4,6,5,7,2]
[3,6,4,1,5,2,7]=>[7,3,1,4,6,2,5]
[3,6,4,1,5,7,2]=>[3,1,4,6,5,2,7]
[3,6,4,1,7,2,5]=>[3,1,4,6,2,7,5]
[3,6,4,1,7,5,2]=>[3,1,4,6,2,5,7]
[3,6,4,2,1,5,7]=>[7,3,1,2,4,6,5]
[3,6,4,2,1,7,5]=>[3,1,2,4,6,5,7]
[3,6,4,2,5,1,7]=>[7,3,2,4,6,1,5]
[3,6,4,2,5,7,1]=>[3,2,4,6,5,1,7]
[3,6,4,2,7,1,5]=>[3,2,4,6,1,7,5]
[3,6,4,2,7,5,1]=>[3,2,4,6,1,5,7]
[3,6,4,5,1,2,7]=>[7,4,6,3,1,5,2]
[3,6,4,5,1,7,2]=>[4,6,3,1,5,2,7]
[3,6,4,5,2,1,7]=>[7,4,6,3,1,2,5]
[3,6,4,5,2,7,1]=>[4,6,3,2,5,1,7]
[3,6,4,5,7,1,2]=>[4,6,5,3,1,7,2]
[3,6,4,5,7,2,1]=>[4,6,5,3,1,2,7]
[3,6,4,7,1,2,5]=>[4,6,3,1,7,5,2]
[3,6,4,7,1,5,2]=>[4,6,3,1,7,2,5]
[3,6,4,7,2,1,5]=>[4,6,3,1,2,7,5]
[3,6,4,7,2,5,1]=>[4,6,3,2,7,1,5]
[3,6,4,7,5,1,2]=>[4,6,3,1,5,7,2]
[3,6,4,7,5,2,1]=>[4,6,3,1,2,5,7]
[3,6,5,1,2,4,7]=>[7,3,1,5,6,4,2]
[3,6,5,1,2,7,4]=>[3,1,5,6,4,7,2]
[3,6,5,1,4,2,7]=>[7,3,1,5,6,2,4]
[3,6,5,1,4,7,2]=>[3,1,5,6,4,2,7]
[3,6,5,1,7,2,4]=>[3,1,5,6,2,7,4]
[3,6,5,1,7,4,2]=>[3,1,5,6,2,4,7]
[3,6,5,2,1,4,7]=>[7,3,1,2,5,6,4]
[3,6,5,2,1,7,4]=>[3,1,2,5,6,4,7]
[3,6,5,2,4,1,7]=>[7,3,2,5,6,1,4]
[3,6,5,2,4,7,1]=>[3,2,5,6,4,1,7]
[3,6,5,2,7,1,4]=>[3,2,5,6,1,7,4]
[3,6,5,2,7,4,1]=>[3,2,5,6,1,4,7]
[3,6,5,4,1,2,7]=>[7,3,1,4,5,6,2]
[3,6,5,4,1,7,2]=>[3,1,4,5,6,2,7]
[3,6,5,4,2,1,7]=>[7,3,1,2,4,5,6]
[3,6,5,4,2,7,1]=>[3,2,4,5,6,1,7]
[3,6,5,4,7,1,2]=>[4,5,6,3,1,7,2]
[3,6,5,4,7,2,1]=>[4,5,6,3,1,2,7]
[3,6,5,7,1,2,4]=>[5,6,3,1,7,4,2]
[3,6,5,7,1,4,2]=>[5,6,3,1,7,2,4]
[3,6,5,7,2,1,4]=>[5,6,3,1,2,7,4]
[3,6,5,7,2,4,1]=>[5,6,3,2,7,1,4]
[3,6,5,7,4,1,2]=>[5,6,3,1,4,7,2]
[3,6,5,7,4,2,1]=>[5,6,3,1,2,4,7]
[3,6,7,1,2,4,5]=>[6,3,1,7,5,4,2]
[3,6,7,1,2,5,4]=>[6,3,1,7,4,5,2]
[3,6,7,1,4,2,5]=>[6,3,1,7,5,2,4]
[3,6,7,1,4,5,2]=>[6,3,1,7,4,2,5]
[3,6,7,1,5,2,4]=>[6,3,1,7,2,5,4]
[3,6,7,1,5,4,2]=>[6,3,1,7,2,4,5]
[3,6,7,2,1,4,5]=>[6,3,1,2,7,5,4]
[3,6,7,2,1,5,4]=>[6,3,1,2,7,4,5]
[3,6,7,2,4,1,5]=>[6,3,2,7,5,1,4]
[3,6,7,2,4,5,1]=>[6,3,2,7,4,1,5]
[3,6,7,2,5,1,4]=>[6,3,2,7,1,5,4]
[3,6,7,2,5,4,1]=>[6,3,2,7,1,4,5]
[3,6,7,4,1,2,5]=>[6,3,1,4,7,5,2]
[3,6,7,4,1,5,2]=>[6,3,1,4,7,2,5]
[3,6,7,4,2,1,5]=>[6,3,1,2,4,7,5]
[3,6,7,4,2,5,1]=>[6,3,2,4,7,1,5]
[3,6,7,4,5,1,2]=>[6,4,7,3,1,5,2]
[3,6,7,4,5,2,1]=>[6,4,7,3,1,2,5]
[3,6,7,5,1,2,4]=>[6,3,1,5,7,4,2]
[3,6,7,5,1,4,2]=>[6,3,1,5,7,2,4]
[3,6,7,5,2,1,4]=>[6,3,1,2,5,7,4]
[3,6,7,5,2,4,1]=>[6,3,2,5,7,1,4]
[3,6,7,5,4,1,2]=>[6,3,1,4,5,7,2]
[3,6,7,5,4,2,1]=>[6,3,1,2,4,5,7]
[3,7,1,2,4,5,6]=>[3,1,7,6,5,4,2]
[3,7,1,2,4,6,5]=>[3,1,7,5,6,4,2]
[3,7,1,2,5,4,6]=>[3,1,7,6,4,5,2]
[3,7,1,2,5,6,4]=>[3,1,7,5,4,6,2]
[3,7,1,2,6,4,5]=>[3,1,7,4,6,5,2]
[3,7,1,2,6,5,4]=>[3,1,7,4,5,6,2]
[3,7,1,4,2,5,6]=>[3,1,7,6,5,2,4]
[3,7,1,4,2,6,5]=>[3,1,7,5,6,2,4]
[3,7,1,4,5,2,6]=>[3,1,7,6,4,2,5]
[3,7,1,4,5,6,2]=>[3,1,7,5,4,2,6]
[3,7,1,4,6,2,5]=>[3,1,7,4,2,6,5]
[3,7,1,4,6,5,2]=>[3,1,7,4,2,5,6]
[3,7,1,5,2,4,6]=>[3,1,7,6,2,5,4]
[3,7,1,5,2,6,4]=>[3,1,7,2,5,4,6]
[3,7,1,5,4,2,6]=>[3,1,7,6,2,4,5]
[3,7,1,5,4,6,2]=>[3,1,7,4,5,2,6]
[3,7,1,5,6,2,4]=>[3,1,7,5,2,6,4]
[3,7,1,5,6,4,2]=>[3,1,7,5,2,4,6]
[3,7,1,6,2,4,5]=>[3,1,7,2,6,5,4]
[3,7,1,6,2,5,4]=>[3,1,7,2,6,4,5]
[3,7,1,6,4,2,5]=>[3,1,7,2,4,6,5]
[3,7,1,6,4,5,2]=>[3,1,7,4,6,2,5]
[3,7,1,6,5,2,4]=>[3,1,7,2,5,6,4]
[3,7,1,6,5,4,2]=>[3,1,7,2,4,5,6]
[3,7,2,1,4,5,6]=>[3,1,2,7,6,5,4]
[3,7,2,1,4,6,5]=>[3,1,2,7,5,6,4]
[3,7,2,1,5,4,6]=>[3,1,2,7,6,4,5]
[3,7,2,1,5,6,4]=>[3,1,2,7,5,4,6]
[3,7,2,1,6,4,5]=>[3,1,2,7,4,6,5]
[3,7,2,1,6,5,4]=>[3,1,2,7,4,5,6]
[3,7,2,4,1,5,6]=>[3,2,7,6,5,1,4]
[3,7,2,4,1,6,5]=>[3,2,7,5,6,1,4]
[3,7,2,4,5,1,6]=>[3,2,7,6,4,1,5]
[3,7,2,4,5,6,1]=>[3,2,7,5,4,1,6]
[3,7,2,4,6,1,5]=>[3,2,7,4,1,6,5]
[3,7,2,4,6,5,1]=>[3,2,7,4,1,5,6]
[3,7,2,5,1,4,6]=>[3,2,7,6,1,5,4]
[3,7,2,5,1,6,4]=>[3,2,7,1,5,4,6]
[3,7,2,5,4,1,6]=>[3,2,7,6,1,4,5]
[3,7,2,5,4,6,1]=>[3,2,7,4,5,1,6]
[3,7,2,5,6,1,4]=>[3,2,7,5,1,6,4]
[3,7,2,5,6,4,1]=>[3,2,7,5,1,4,6]
[3,7,2,6,1,4,5]=>[3,2,7,1,6,5,4]
[3,7,2,6,1,5,4]=>[3,2,7,1,6,4,5]
[3,7,2,6,4,1,5]=>[3,2,7,1,4,6,5]
[3,7,2,6,4,5,1]=>[3,2,7,4,6,1,5]
[3,7,2,6,5,1,4]=>[3,2,7,1,5,6,4]
[3,7,2,6,5,4,1]=>[3,2,7,1,4,5,6]
[3,7,4,1,2,5,6]=>[3,1,4,7,6,5,2]
[3,7,4,1,2,6,5]=>[3,1,4,7,5,6,2]
[3,7,4,1,5,2,6]=>[3,1,4,7,6,2,5]
[3,7,4,1,5,6,2]=>[3,1,4,7,5,2,6]
[3,7,4,1,6,2,5]=>[3,1,4,7,2,6,5]
[3,7,4,1,6,5,2]=>[3,1,4,7,2,5,6]
[3,7,4,2,1,5,6]=>[3,1,2,4,7,6,5]
[3,7,4,2,1,6,5]=>[3,1,2,4,7,5,6]
[3,7,4,2,5,1,6]=>[3,2,4,7,6,1,5]
[3,7,4,2,5,6,1]=>[3,2,4,7,5,1,6]
[3,7,4,2,6,1,5]=>[3,2,4,7,1,6,5]
[3,7,4,2,6,5,1]=>[3,2,4,7,1,5,6]
[3,7,4,5,1,2,6]=>[4,7,6,3,1,5,2]
[3,7,4,5,1,6,2]=>[4,7,3,1,5,2,6]
[3,7,4,5,2,1,6]=>[4,7,6,3,1,2,5]
[3,7,4,5,2,6,1]=>[4,7,3,2,5,1,6]
[3,7,4,5,6,1,2]=>[4,7,5,3,1,6,2]
[3,7,4,5,6,2,1]=>[4,7,5,3,1,2,6]
[3,7,4,6,1,2,5]=>[4,7,3,1,6,5,2]
[3,7,4,6,1,5,2]=>[4,7,3,1,6,2,5]
[3,7,4,6,2,1,5]=>[4,7,3,1,2,6,5]
[3,7,4,6,2,5,1]=>[4,7,3,2,6,1,5]
[3,7,4,6,5,1,2]=>[4,7,3,1,5,6,2]
[3,7,4,6,5,2,1]=>[4,7,3,1,2,5,6]
[3,7,5,1,2,4,6]=>[3,1,5,7,6,4,2]
[3,7,5,1,2,6,4]=>[3,1,5,7,4,6,2]
[3,7,5,1,4,2,6]=>[3,1,5,7,6,2,4]
[3,7,5,1,4,6,2]=>[3,1,5,7,4,2,6]
[3,7,5,1,6,2,4]=>[3,1,5,7,2,6,4]
[3,7,5,1,6,4,2]=>[3,1,5,7,2,4,6]
[3,7,5,2,1,4,6]=>[3,1,2,5,7,6,4]
[3,7,5,2,1,6,4]=>[3,1,2,5,7,4,6]
[3,7,5,2,4,1,6]=>[3,2,5,7,6,1,4]
[3,7,5,2,4,6,1]=>[3,2,5,7,4,1,6]
[3,7,5,2,6,1,4]=>[3,2,5,7,1,6,4]
[3,7,5,2,6,4,1]=>[3,2,5,7,1,4,6]
[3,7,5,4,1,2,6]=>[3,1,4,5,7,6,2]
[3,7,5,4,1,6,2]=>[3,1,4,5,7,2,6]
[3,7,5,4,2,1,6]=>[3,1,2,4,5,7,6]
[3,7,5,4,2,6,1]=>[3,2,4,5,7,1,6]
[3,7,5,4,6,1,2]=>[4,5,7,3,1,6,2]
[3,7,5,4,6,2,1]=>[4,5,7,3,1,2,6]
[3,7,5,6,1,2,4]=>[5,7,3,1,6,4,2]
[3,7,5,6,1,4,2]=>[5,7,3,1,6,2,4]
[3,7,5,6,2,1,4]=>[5,7,3,1,2,6,4]
[3,7,5,6,2,4,1]=>[5,7,3,2,6,1,4]
[3,7,5,6,4,1,2]=>[5,7,3,1,4,6,2]
[3,7,5,6,4,2,1]=>[5,7,3,1,2,4,6]
[3,7,6,1,2,4,5]=>[3,1,6,7,5,4,2]
[3,7,6,1,2,5,4]=>[3,1,6,7,4,5,2]
[3,7,6,1,4,2,5]=>[3,1,6,7,5,2,4]
[3,7,6,1,4,5,2]=>[3,1,6,7,4,2,5]
[3,7,6,1,5,2,4]=>[3,1,6,7,2,5,4]
[3,7,6,1,5,4,2]=>[3,1,6,7,2,4,5]
[3,7,6,2,1,4,5]=>[3,1,2,6,7,5,4]
[3,7,6,2,1,5,4]=>[3,1,2,6,7,4,5]
[3,7,6,2,4,1,5]=>[3,2,6,7,5,1,4]
[3,7,6,2,4,5,1]=>[3,2,6,7,4,1,5]
[3,7,6,2,5,1,4]=>[3,2,6,7,1,5,4]
[3,7,6,2,5,4,1]=>[3,2,6,7,1,4,5]
[3,7,6,4,1,2,5]=>[3,1,4,6,7,5,2]
[3,7,6,4,1,5,2]=>[3,1,4,6,7,2,5]
[3,7,6,4,2,1,5]=>[3,1,2,4,6,7,5]
[3,7,6,4,2,5,1]=>[3,2,4,6,7,1,5]
[3,7,6,4,5,1,2]=>[4,6,7,3,1,5,2]
[3,7,6,4,5,2,1]=>[4,6,7,3,1,2,5]
[3,7,6,5,1,2,4]=>[3,1,5,6,7,4,2]
[3,7,6,5,1,4,2]=>[3,1,5,6,7,2,4]
[3,7,6,5,2,1,4]=>[3,1,2,5,6,7,4]
[3,7,6,5,2,4,1]=>[3,2,5,6,7,1,4]
[3,7,6,5,4,1,2]=>[3,1,4,5,6,7,2]
[3,7,6,5,4,2,1]=>[3,1,2,4,5,6,7]
[4,1,2,3,5,6,7]=>[7,6,5,1,4,3,2]
[4,1,2,3,5,7,6]=>[6,7,5,1,4,3,2]
[4,1,2,3,6,5,7]=>[7,5,6,1,4,3,2]
[4,1,2,3,6,7,5]=>[6,5,7,1,4,3,2]
[4,1,2,3,7,5,6]=>[5,7,6,1,4,3,2]
[4,1,2,3,7,6,5]=>[5,6,7,1,4,3,2]
[4,1,2,5,3,6,7]=>[7,6,1,4,3,5,2]
[4,1,2,5,3,7,6]=>[6,7,1,4,3,5,2]
[4,1,2,5,6,3,7]=>[7,5,1,4,3,6,2]
[4,1,2,5,6,7,3]=>[6,5,1,4,3,7,2]
[4,1,2,5,7,3,6]=>[5,1,4,3,7,6,2]
[4,1,2,5,7,6,3]=>[5,1,4,3,6,7,2]
[4,1,2,6,3,5,7]=>[7,1,4,3,6,5,2]
[4,1,2,6,3,7,5]=>[1,4,3,6,5,7,2]
[4,1,2,6,5,3,7]=>[7,1,4,3,5,6,2]
[4,1,2,6,5,7,3]=>[5,6,1,4,3,7,2]
[4,1,2,6,7,3,5]=>[6,1,4,3,7,5,2]
[4,1,2,6,7,5,3]=>[6,1,4,3,5,7,2]
[4,1,2,7,3,5,6]=>[1,4,3,7,6,5,2]
[4,1,2,7,3,6,5]=>[1,4,3,7,5,6,2]
[4,1,2,7,5,3,6]=>[1,4,3,5,7,6,2]
[4,1,2,7,5,6,3]=>[5,7,1,4,3,6,2]
[4,1,2,7,6,3,5]=>[1,4,3,6,7,5,2]
[4,1,2,7,6,5,3]=>[1,4,3,5,6,7,2]
[4,1,3,2,5,6,7]=>[7,6,5,1,4,2,3]
[4,1,3,2,5,7,6]=>[6,7,5,1,4,2,3]
[4,1,3,2,6,5,7]=>[7,5,6,1,4,2,3]
[4,1,3,2,6,7,5]=>[6,5,7,1,4,2,3]
[4,1,3,2,7,5,6]=>[5,7,6,1,4,2,3]
[4,1,3,2,7,6,5]=>[5,6,7,1,4,2,3]
[4,1,3,5,2,6,7]=>[7,6,1,4,3,2,5]
[4,1,3,5,2,7,6]=>[6,7,1,4,3,2,5]
[4,1,3,5,6,2,7]=>[7,5,1,4,3,2,6]
[4,1,3,5,6,7,2]=>[6,5,1,4,3,2,7]
[4,1,3,5,7,2,6]=>[5,1,4,3,2,7,6]
[4,1,3,5,7,6,2]=>[5,1,4,3,2,6,7]
[4,1,3,6,2,5,7]=>[7,1,4,3,2,6,5]
[4,1,3,6,2,7,5]=>[1,4,3,2,6,5,7]
[4,1,3,6,5,2,7]=>[7,1,4,3,2,5,6]
[4,1,3,6,5,7,2]=>[5,6,1,4,3,2,7]
[4,1,3,6,7,2,5]=>[6,1,4,3,2,7,5]
[4,1,3,6,7,5,2]=>[6,1,4,3,2,5,7]
[4,1,3,7,2,5,6]=>[1,4,3,2,7,6,5]
[4,1,3,7,2,6,5]=>[1,4,3,2,7,5,6]
[4,1,3,7,5,2,6]=>[1,4,3,2,5,7,6]
[4,1,3,7,5,6,2]=>[5,7,1,4,3,2,6]
[4,1,3,7,6,2,5]=>[1,4,3,2,6,7,5]
[4,1,3,7,6,5,2]=>[1,4,3,2,5,6,7]
[4,1,5,2,3,6,7]=>[7,6,1,4,2,5,3]
[4,1,5,2,3,7,6]=>[6,7,1,4,2,5,3]
[4,1,5,2,6,3,7]=>[7,1,4,2,5,3,6]
[4,1,5,2,6,7,3]=>[6,1,4,2,5,3,7]
[4,1,5,2,7,3,6]=>[1,4,2,5,3,7,6]
[4,1,5,2,7,6,3]=>[1,4,2,5,3,6,7]
[4,1,5,3,2,6,7]=>[7,6,1,4,2,3,5]
[4,1,5,3,2,7,6]=>[6,7,1,4,2,3,5]
[4,1,5,3,6,2,7]=>[7,1,4,3,5,2,6]
[4,1,5,3,6,7,2]=>[6,1,4,3,5,2,7]
[4,1,5,3,7,2,6]=>[1,4,3,5,2,7,6]
[4,1,5,3,7,6,2]=>[1,4,3,5,2,6,7]
[4,1,5,6,2,3,7]=>[7,5,1,4,2,6,3]
[4,1,5,6,2,7,3]=>[5,1,4,2,6,3,7]
[4,1,5,6,3,2,7]=>[7,5,1,4,2,3,6]
[4,1,5,6,3,7,2]=>[5,1,4,3,6,2,7]
[4,1,5,6,7,2,3]=>[6,5,1,4,2,7,3]
[4,1,5,6,7,3,2]=>[6,5,1,4,2,3,7]
[4,1,5,7,2,3,6]=>[5,1,4,2,7,6,3]
[4,1,5,7,2,6,3]=>[5,1,4,2,7,3,6]
[4,1,5,7,3,2,6]=>[5,1,4,2,3,7,6]
[4,1,5,7,3,6,2]=>[5,1,4,3,7,2,6]
[4,1,5,7,6,2,3]=>[5,1,4,2,6,7,3]
[4,1,5,7,6,3,2]=>[5,1,4,2,3,6,7]
[4,1,6,2,3,5,7]=>[7,1,4,2,6,5,3]
[4,1,6,2,3,7,5]=>[1,4,2,6,5,7,3]
[4,1,6,2,5,3,7]=>[7,1,4,2,6,3,5]
[4,1,6,2,5,7,3]=>[1,4,2,6,5,3,7]
[4,1,6,2,7,3,5]=>[1,4,2,6,3,7,5]
[4,1,6,2,7,5,3]=>[1,4,2,6,3,5,7]
[4,1,6,3,2,5,7]=>[7,1,4,2,3,6,5]
[4,1,6,3,2,7,5]=>[1,4,2,3,6,5,7]
[4,1,6,3,5,2,7]=>[7,1,4,3,6,2,5]
[4,1,6,3,5,7,2]=>[1,4,3,6,5,2,7]
[4,1,6,3,7,2,5]=>[1,4,3,6,2,7,5]
[4,1,6,3,7,5,2]=>[1,4,3,6,2,5,7]
[4,1,6,5,2,3,7]=>[7,1,4,2,5,6,3]
[4,1,6,5,2,7,3]=>[1,4,2,5,6,3,7]
[4,1,6,5,3,2,7]=>[7,1,4,2,3,5,6]
[4,1,6,5,3,7,2]=>[1,4,3,5,6,2,7]
[4,1,6,5,7,2,3]=>[5,6,1,4,2,7,3]
[4,1,6,5,7,3,2]=>[5,6,1,4,2,3,7]
[4,1,6,7,2,3,5]=>[6,1,4,2,7,5,3]
[4,1,6,7,2,5,3]=>[6,1,4,2,7,3,5]
[4,1,6,7,3,2,5]=>[6,1,4,2,3,7,5]
[4,1,6,7,3,5,2]=>[6,1,4,3,7,2,5]
[4,1,6,7,5,2,3]=>[6,1,4,2,5,7,3]
[4,1,6,7,5,3,2]=>[6,1,4,2,3,5,7]
[4,1,7,2,3,5,6]=>[1,4,2,7,6,5,3]
[4,1,7,2,3,6,5]=>[1,4,2,7,5,6,3]
[4,1,7,2,5,3,6]=>[1,4,2,7,6,3,5]
[4,1,7,2,5,6,3]=>[1,4,2,7,5,3,6]
[4,1,7,2,6,3,5]=>[1,4,2,7,3,6,5]
[4,1,7,2,6,5,3]=>[1,4,2,7,3,5,6]
[4,1,7,3,2,5,6]=>[1,4,2,3,7,6,5]
[4,1,7,3,2,6,5]=>[1,4,2,3,7,5,6]
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]
[4,1,7,3,5,6,2]=>[1,4,3,7,5,2,6]
[4,1,7,3,6,2,5]=>[1,4,3,7,2,6,5]
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]
[4,1,7,5,2,3,6]=>[1,4,2,5,7,6,3]
[4,1,7,5,2,6,3]=>[1,4,2,5,7,3,6]
[4,1,7,5,3,2,6]=>[1,4,2,3,5,7,6]
[4,1,7,5,3,6,2]=>[1,4,3,5,7,2,6]
[4,1,7,5,6,2,3]=>[5,7,1,4,2,6,3]
[4,1,7,5,6,3,2]=>[5,7,1,4,2,3,6]
[4,1,7,6,2,3,5]=>[1,4,2,6,7,5,3]
[4,1,7,6,2,5,3]=>[1,4,2,6,7,3,5]
[4,1,7,6,3,2,5]=>[1,4,2,3,6,7,5]
[4,1,7,6,3,5,2]=>[1,4,3,6,7,2,5]
[4,1,7,6,5,2,3]=>[1,4,2,5,6,7,3]
[4,1,7,6,5,3,2]=>[1,4,2,3,5,6,7]
[4,2,1,3,5,6,7]=>[7,6,5,1,2,4,3]
[4,2,1,3,5,7,6]=>[6,7,5,1,2,4,3]
[4,2,1,3,6,5,7]=>[7,5,6,1,2,4,3]
[4,2,1,3,6,7,5]=>[6,5,7,1,2,4,3]
[4,2,1,3,7,5,6]=>[5,7,6,1,2,4,3]
[4,2,1,3,7,6,5]=>[5,6,7,1,2,4,3]
[4,2,1,5,3,6,7]=>[7,6,1,2,4,3,5]
[4,2,1,5,3,7,6]=>[6,7,1,2,4,3,5]
[4,2,1,5,6,3,7]=>[7,5,1,2,4,3,6]
[4,2,1,5,6,7,3]=>[6,5,1,2,4,3,7]
[4,2,1,5,7,3,6]=>[5,1,2,4,3,7,6]
[4,2,1,5,7,6,3]=>[5,1,2,4,3,6,7]
[4,2,1,6,3,5,7]=>[7,1,2,4,3,6,5]
[4,2,1,6,3,7,5]=>[1,2,4,3,6,5,7]
[4,2,1,6,5,3,7]=>[7,1,2,4,3,5,6]
[4,2,1,6,5,7,3]=>[5,6,1,2,4,3,7]
[4,2,1,6,7,3,5]=>[6,1,2,4,3,7,5]
[4,2,1,6,7,5,3]=>[6,1,2,4,3,5,7]
[4,2,1,7,3,5,6]=>[1,2,4,3,7,6,5]
[4,2,1,7,3,6,5]=>[1,2,4,3,7,5,6]
[4,2,1,7,5,3,6]=>[1,2,4,3,5,7,6]
[4,2,1,7,5,6,3]=>[5,7,1,2,4,3,6]
[4,2,1,7,6,3,5]=>[1,2,4,3,6,7,5]
[4,2,1,7,6,5,3]=>[1,2,4,3,5,6,7]
[4,2,3,1,5,6,7]=>[7,6,5,2,4,1,3]
[4,2,3,1,5,7,6]=>[6,7,5,2,4,1,3]
[4,2,3,1,6,5,7]=>[7,5,6,2,4,1,3]
[4,2,3,1,6,7,5]=>[6,5,7,2,4,1,3]
[4,2,3,1,7,5,6]=>[5,7,6,2,4,1,3]
[4,2,3,1,7,6,5]=>[5,6,7,2,4,1,3]
[4,2,3,5,1,6,7]=>[7,6,2,4,3,1,5]
[4,2,3,5,1,7,6]=>[6,7,2,4,3,1,5]
[4,2,3,5,6,1,7]=>[7,5,2,4,3,1,6]
[4,2,3,5,6,7,1]=>[6,5,2,4,3,1,7]
[4,2,3,5,7,1,6]=>[5,2,4,3,1,7,6]
[4,2,3,5,7,6,1]=>[5,2,4,3,1,6,7]
[4,2,3,6,1,5,7]=>[7,2,4,3,1,6,5]
[4,2,3,6,1,7,5]=>[2,4,3,1,6,5,7]
[4,2,3,6,5,1,7]=>[7,2,4,3,1,5,6]
[4,2,3,6,5,7,1]=>[5,6,2,4,3,1,7]
[4,2,3,6,7,1,5]=>[6,2,4,3,1,7,5]
[4,2,3,6,7,5,1]=>[6,2,4,3,1,5,7]
[4,2,3,7,1,5,6]=>[2,4,3,1,7,6,5]
[4,2,3,7,1,6,5]=>[2,4,3,1,7,5,6]
[4,2,3,7,5,1,6]=>[2,4,3,1,5,7,6]
[4,2,3,7,5,6,1]=>[5,7,2,4,3,1,6]
[4,2,3,7,6,1,5]=>[2,4,3,1,6,7,5]
[4,2,3,7,6,5,1]=>[2,4,3,1,5,6,7]
[4,2,5,1,3,6,7]=>[7,6,2,4,1,5,3]
[4,2,5,1,3,7,6]=>[6,7,2,4,1,5,3]
[4,2,5,1,6,3,7]=>[7,2,4,1,5,3,6]
[4,2,5,1,6,7,3]=>[6,2,4,1,5,3,7]
[4,2,5,1,7,3,6]=>[2,4,1,5,3,7,6]
[4,2,5,1,7,6,3]=>[2,4,1,5,3,6,7]
[4,2,5,3,1,6,7]=>[7,6,2,4,1,3,5]
[4,2,5,3,1,7,6]=>[6,7,2,4,1,3,5]
[4,2,5,3,6,1,7]=>[7,2,4,3,5,1,6]
[4,2,5,3,6,7,1]=>[6,2,4,3,5,1,7]
[4,2,5,3,7,1,6]=>[2,4,3,5,1,7,6]
[4,2,5,3,7,6,1]=>[2,4,3,5,1,6,7]
[4,2,5,6,1,3,7]=>[7,5,2,4,1,6,3]
[4,2,5,6,1,7,3]=>[5,2,4,1,6,3,7]
[4,2,5,6,3,1,7]=>[7,5,2,4,1,3,6]
[4,2,5,6,3,7,1]=>[5,2,4,3,6,1,7]
[4,2,5,6,7,1,3]=>[6,5,2,4,1,7,3]
[4,2,5,6,7,3,1]=>[6,5,2,4,1,3,7]
[4,2,5,7,1,3,6]=>[5,2,4,1,7,6,3]
[4,2,5,7,1,6,3]=>[5,2,4,1,7,3,6]
[4,2,5,7,3,1,6]=>[5,2,4,1,3,7,6]
[4,2,5,7,3,6,1]=>[5,2,4,3,7,1,6]
[4,2,5,7,6,1,3]=>[5,2,4,1,6,7,3]
[4,2,5,7,6,3,1]=>[5,2,4,1,3,6,7]
[4,2,6,1,3,5,7]=>[7,2,4,1,6,5,3]
[4,2,6,1,3,7,5]=>[2,4,1,6,5,7,3]
[4,2,6,1,5,3,7]=>[7,2,4,1,6,3,5]
[4,2,6,1,5,7,3]=>[2,4,1,6,5,3,7]
[4,2,6,1,7,3,5]=>[2,4,1,6,3,7,5]
[4,2,6,1,7,5,3]=>[2,4,1,6,3,5,7]
[4,2,6,3,1,5,7]=>[7,2,4,1,3,6,5]
[4,2,6,3,1,7,5]=>[2,4,1,3,6,5,7]
[4,2,6,3,5,1,7]=>[7,2,4,3,6,1,5]
[4,2,6,3,5,7,1]=>[2,4,3,6,5,1,7]
[4,2,6,3,7,1,5]=>[2,4,3,6,1,7,5]
[4,2,6,3,7,5,1]=>[2,4,3,6,1,5,7]
[4,2,6,5,1,3,7]=>[7,2,4,1,5,6,3]
[4,2,6,5,1,7,3]=>[2,4,1,5,6,3,7]
[4,2,6,5,3,1,7]=>[7,2,4,1,3,5,6]
[4,2,6,5,3,7,1]=>[2,4,3,5,6,1,7]
[4,2,6,5,7,1,3]=>[5,6,2,4,1,7,3]
[4,2,6,5,7,3,1]=>[5,6,2,4,1,3,7]
[4,2,6,7,1,3,5]=>[6,2,4,1,7,5,3]
[4,2,6,7,1,5,3]=>[6,2,4,1,7,3,5]
[4,2,6,7,3,1,5]=>[6,2,4,1,3,7,5]
[4,2,6,7,3,5,1]=>[6,2,4,3,7,1,5]
[4,2,6,7,5,1,3]=>[6,2,4,1,5,7,3]
[4,2,6,7,5,3,1]=>[6,2,4,1,3,5,7]
[4,2,7,1,3,5,6]=>[2,4,1,7,6,5,3]
[4,2,7,1,3,6,5]=>[2,4,1,7,5,6,3]
[4,2,7,1,5,3,6]=>[2,4,1,7,6,3,5]
[4,2,7,1,5,6,3]=>[2,4,1,7,5,3,6]
[4,2,7,1,6,3,5]=>[2,4,1,7,3,6,5]
[4,2,7,1,6,5,3]=>[2,4,1,7,3,5,6]
[4,2,7,3,1,5,6]=>[2,4,1,3,7,6,5]
[4,2,7,3,1,6,5]=>[2,4,1,3,7,5,6]
[4,2,7,3,5,1,6]=>[2,4,3,7,6,1,5]
[4,2,7,3,5,6,1]=>[2,4,3,7,5,1,6]
[4,2,7,3,6,1,5]=>[2,4,3,7,1,6,5]
[4,2,7,3,6,5,1]=>[2,4,3,7,1,5,6]
[4,2,7,5,1,3,6]=>[2,4,1,5,7,6,3]
[4,2,7,5,1,6,3]=>[2,4,1,5,7,3,6]
[4,2,7,5,3,1,6]=>[2,4,1,3,5,7,6]
[4,2,7,5,3,6,1]=>[2,4,3,5,7,1,6]
[4,2,7,5,6,1,3]=>[5,7,2,4,1,6,3]
[4,2,7,5,6,3,1]=>[5,7,2,4,1,3,6]
[4,2,7,6,1,3,5]=>[2,4,1,6,7,5,3]
[4,2,7,6,1,5,3]=>[2,4,1,6,7,3,5]
[4,2,7,6,3,1,5]=>[2,4,1,3,6,7,5]
[4,2,7,6,3,5,1]=>[2,4,3,6,7,1,5]
[4,2,7,6,5,1,3]=>[2,4,1,5,6,7,3]
[4,2,7,6,5,3,1]=>[2,4,1,3,5,6,7]
[4,3,1,2,5,6,7]=>[7,6,5,1,3,4,2]
[4,3,1,2,5,7,6]=>[6,7,5,1,3,4,2]
[4,3,1,2,6,5,7]=>[7,5,6,1,3,4,2]
[4,3,1,2,6,7,5]=>[6,5,7,1,3,4,2]
[4,3,1,2,7,5,6]=>[5,7,6,1,3,4,2]
[4,3,1,2,7,6,5]=>[5,6,7,1,3,4,2]
[4,3,1,5,2,6,7]=>[7,6,1,3,4,2,5]
[4,3,1,5,2,7,6]=>[6,7,1,3,4,2,5]
[4,3,1,5,6,2,7]=>[7,5,1,3,4,2,6]
[4,3,1,5,6,7,2]=>[6,5,1,3,4,2,7]
[4,3,1,5,7,2,6]=>[5,1,3,4,2,7,6]
[4,3,1,5,7,6,2]=>[5,1,3,4,2,6,7]
[4,3,1,6,2,5,7]=>[7,1,3,4,2,6,5]
[4,3,1,6,2,7,5]=>[1,3,4,2,6,5,7]
[4,3,1,6,5,2,7]=>[7,1,3,4,2,5,6]
[4,3,1,6,5,7,2]=>[5,6,1,3,4,2,7]
[4,3,1,6,7,2,5]=>[6,1,3,4,2,7,5]
[4,3,1,6,7,5,2]=>[6,1,3,4,2,5,7]
[4,3,1,7,2,5,6]=>[1,3,4,2,7,6,5]
[4,3,1,7,2,6,5]=>[1,3,4,2,7,5,6]
[4,3,1,7,5,2,6]=>[1,3,4,2,5,7,6]
[4,3,1,7,5,6,2]=>[5,7,1,3,4,2,6]
[4,3,1,7,6,2,5]=>[1,3,4,2,6,7,5]
[4,3,1,7,6,5,2]=>[1,3,4,2,5,6,7]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]
[4,3,2,1,6,7,5]=>[6,5,7,1,2,3,4]
[4,3,2,1,7,5,6]=>[5,7,6,1,2,3,4]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]
[4,3,2,5,1,6,7]=>[7,6,2,3,4,1,5]
[4,3,2,5,1,7,6]=>[6,7,2,3,4,1,5]
[4,3,2,5,6,1,7]=>[7,5,2,3,4,1,6]
[4,3,2,5,6,7,1]=>[6,5,2,3,4,1,7]
[4,3,2,5,7,1,6]=>[5,2,3,4,1,7,6]
[4,3,2,5,7,6,1]=>[5,2,3,4,1,6,7]
[4,3,2,6,1,5,7]=>[7,2,3,4,1,6,5]
[4,3,2,6,1,7,5]=>[2,3,4,1,6,5,7]
[4,3,2,6,5,1,7]=>[7,2,3,4,1,5,6]
[4,3,2,6,5,7,1]=>[5,6,2,3,4,1,7]
[4,3,2,6,7,1,5]=>[6,2,3,4,1,7,5]
[4,3,2,6,7,5,1]=>[6,2,3,4,1,5,7]
[4,3,2,7,1,5,6]=>[2,3,4,1,7,6,5]
[4,3,2,7,1,6,5]=>[2,3,4,1,7,5,6]
[4,3,2,7,5,1,6]=>[2,3,4,1,5,7,6]
[4,3,2,7,5,6,1]=>[5,7,2,3,4,1,6]
[4,3,2,7,6,1,5]=>[2,3,4,1,6,7,5]
[4,3,2,7,6,5,1]=>[2,3,4,1,5,6,7]
[4,3,5,1,2,6,7]=>[7,6,3,4,1,5,2]
[4,3,5,1,2,7,6]=>[6,7,3,4,1,5,2]
[4,3,5,1,6,2,7]=>[7,3,4,1,5,2,6]
[4,3,5,1,6,7,2]=>[6,3,4,1,5,2,7]
[4,3,5,1,7,2,6]=>[3,4,1,5,2,7,6]
[4,3,5,1,7,6,2]=>[3,4,1,5,2,6,7]
[4,3,5,2,1,6,7]=>[7,6,3,4,1,2,5]
[4,3,5,2,1,7,6]=>[6,7,3,4,1,2,5]
[4,3,5,2,6,1,7]=>[7,3,4,2,5,1,6]
[4,3,5,2,6,7,1]=>[6,3,4,2,5,1,7]
[4,3,5,2,7,1,6]=>[3,4,2,5,1,7,6]
[4,3,5,2,7,6,1]=>[3,4,2,5,1,6,7]
[4,3,5,6,1,2,7]=>[7,5,3,4,1,6,2]
[4,3,5,6,1,7,2]=>[5,3,4,1,6,2,7]
[4,3,5,6,2,1,7]=>[7,5,3,4,1,2,6]
[4,3,5,6,2,7,1]=>[5,3,4,2,6,1,7]
[4,3,5,6,7,1,2]=>[6,5,3,4,1,7,2]
[4,3,5,6,7,2,1]=>[6,5,3,4,1,2,7]
[4,3,5,7,1,2,6]=>[5,3,4,1,7,6,2]
[4,3,5,7,1,6,2]=>[5,3,4,1,7,2,6]
[4,3,5,7,2,1,6]=>[5,3,4,1,2,7,6]
[4,3,5,7,2,6,1]=>[5,3,4,2,7,1,6]
[4,3,5,7,6,1,2]=>[5,3,4,1,6,7,2]
[4,3,5,7,6,2,1]=>[5,3,4,1,2,6,7]
[4,3,6,1,2,5,7]=>[7,3,4,1,6,5,2]
[4,3,6,1,2,7,5]=>[3,4,1,6,5,7,2]
[4,3,6,1,5,2,7]=>[7,3,4,1,6,2,5]
[4,3,6,1,5,7,2]=>[3,4,1,6,5,2,7]
[4,3,6,1,7,2,5]=>[3,4,1,6,2,7,5]
[4,3,6,1,7,5,2]=>[3,4,1,6,2,5,7]
[4,3,6,2,1,5,7]=>[7,3,4,1,2,6,5]
[4,3,6,2,1,7,5]=>[3,4,1,2,6,5,7]
[4,3,6,2,5,1,7]=>[7,3,4,2,6,1,5]
[4,3,6,2,5,7,1]=>[3,4,2,6,5,1,7]
[4,3,6,2,7,1,5]=>[3,4,2,6,1,7,5]
[4,3,6,2,7,5,1]=>[3,4,2,6,1,5,7]
[4,3,6,5,1,2,7]=>[7,3,4,1,5,6,2]
[4,3,6,5,1,7,2]=>[3,4,1,5,6,2,7]
[4,3,6,5,2,1,7]=>[7,3,4,1,2,5,6]
[4,3,6,5,2,7,1]=>[3,4,2,5,6,1,7]
[4,3,6,5,7,1,2]=>[5,6,3,4,1,7,2]
[4,3,6,5,7,2,1]=>[5,6,3,4,1,2,7]
[4,3,6,7,1,2,5]=>[6,3,4,1,7,5,2]
[4,3,6,7,1,5,2]=>[6,3,4,1,7,2,5]
[4,3,6,7,2,1,5]=>[6,3,4,1,2,7,5]
[4,3,6,7,2,5,1]=>[6,3,4,2,7,1,5]
[4,3,6,7,5,1,2]=>[6,3,4,1,5,7,2]
[4,3,6,7,5,2,1]=>[6,3,4,1,2,5,7]
[4,3,7,1,2,5,6]=>[3,4,1,7,6,5,2]
[4,3,7,1,2,6,5]=>[3,4,1,7,5,6,2]
[4,3,7,1,5,2,6]=>[3,4,1,7,6,2,5]
[4,3,7,1,5,6,2]=>[3,4,1,7,5,2,6]
[4,3,7,1,6,2,5]=>[3,4,1,7,2,6,5]
[4,3,7,1,6,5,2]=>[3,4,1,7,2,5,6]
[4,3,7,2,1,5,6]=>[3,4,1,2,7,6,5]
[4,3,7,2,1,6,5]=>[3,4,1,2,7,5,6]
[4,3,7,2,5,1,6]=>[3,4,2,7,6,1,5]
[4,3,7,2,5,6,1]=>[3,4,2,7,5,1,6]
[4,3,7,2,6,1,5]=>[3,4,2,7,1,6,5]
[4,3,7,2,6,5,1]=>[3,4,2,7,1,5,6]
[4,3,7,5,1,2,6]=>[3,4,1,5,7,6,2]
[4,3,7,5,1,6,2]=>[3,4,1,5,7,2,6]
[4,3,7,5,2,1,6]=>[3,4,1,2,5,7,6]
[4,3,7,5,2,6,1]=>[3,4,2,5,7,1,6]
[4,3,7,5,6,1,2]=>[5,7,3,4,1,6,2]
[4,3,7,5,6,2,1]=>[5,7,3,4,1,2,6]
[4,3,7,6,1,2,5]=>[3,4,1,6,7,5,2]
[4,3,7,6,1,5,2]=>[3,4,1,6,7,2,5]
[4,3,7,6,2,1,5]=>[3,4,1,2,6,7,5]
[4,3,7,6,2,5,1]=>[3,4,2,6,7,1,5]
[4,3,7,6,5,1,2]=>[3,4,1,5,6,7,2]
[4,3,7,6,5,2,1]=>[3,4,1,2,5,6,7]
[4,5,1,2,3,6,7]=>[7,6,4,1,5,3,2]
[4,5,1,2,3,7,6]=>[6,7,4,1,5,3,2]
[4,5,1,2,6,3,7]=>[7,4,1,5,3,6,2]
[4,5,1,2,6,7,3]=>[6,4,1,5,3,7,2]
[4,5,1,2,7,3,6]=>[4,1,5,3,7,6,2]
[4,5,1,2,7,6,3]=>[4,1,5,3,6,7,2]
[4,5,1,3,2,6,7]=>[7,6,4,1,5,2,3]
[4,5,1,3,2,7,6]=>[6,7,4,1,5,2,3]
[4,5,1,3,6,2,7]=>[7,4,1,5,3,2,6]
[4,5,1,3,6,7,2]=>[6,4,1,5,3,2,7]
[4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]
[4,5,1,3,7,6,2]=>[4,1,5,3,2,6,7]
[4,5,1,6,2,3,7]=>[7,4,1,5,2,6,3]
[4,5,1,6,2,7,3]=>[4,1,5,2,6,3,7]
[4,5,1,6,3,2,7]=>[7,4,1,5,2,3,6]
[4,5,1,6,3,7,2]=>[4,1,5,3,6,2,7]
[4,5,1,6,7,2,3]=>[6,4,1,5,2,7,3]
[4,5,1,6,7,3,2]=>[6,4,1,5,2,3,7]
[4,5,1,7,2,3,6]=>[4,1,5,2,7,6,3]
[4,5,1,7,2,6,3]=>[4,1,5,2,7,3,6]
[4,5,1,7,3,2,6]=>[4,1,5,2,3,7,6]
[4,5,1,7,3,6,2]=>[4,1,5,3,7,2,6]
[4,5,1,7,6,2,3]=>[4,1,5,2,6,7,3]
[4,5,1,7,6,3,2]=>[4,1,5,2,3,6,7]
[4,5,2,1,3,6,7]=>[7,6,4,1,2,5,3]
[4,5,2,1,3,7,6]=>[6,7,4,1,2,5,3]
[4,5,2,1,6,3,7]=>[7,4,1,2,5,3,6]
[4,5,2,1,6,7,3]=>[6,4,1,2,5,3,7]
[4,5,2,1,7,3,6]=>[4,1,2,5,3,7,6]
[4,5,2,1,7,6,3]=>[4,1,2,5,3,6,7]
[4,5,2,3,1,6,7]=>[7,6,4,2,5,1,3]
[4,5,2,3,1,7,6]=>[6,7,4,2,5,1,3]
[4,5,2,3,6,1,7]=>[7,4,2,5,3,1,6]
[4,5,2,3,6,7,1]=>[6,4,2,5,3,1,7]
[4,5,2,3,7,1,6]=>[4,2,5,3,1,7,6]
[4,5,2,3,7,6,1]=>[4,2,5,3,1,6,7]
[4,5,2,6,1,3,7]=>[7,4,2,5,1,6,3]
[4,5,2,6,1,7,3]=>[4,2,5,1,6,3,7]
[4,5,2,6,3,1,7]=>[7,4,2,5,1,3,6]
[4,5,2,6,3,7,1]=>[4,2,5,3,6,1,7]
[4,5,2,6,7,1,3]=>[6,4,2,5,1,7,3]
[4,5,2,6,7,3,1]=>[6,4,2,5,1,3,7]
[4,5,2,7,1,3,6]=>[4,2,5,1,7,6,3]
[4,5,2,7,1,6,3]=>[4,2,5,1,7,3,6]
[4,5,2,7,3,1,6]=>[4,2,5,1,3,7,6]
[4,5,2,7,3,6,1]=>[4,2,5,3,7,1,6]
[4,5,2,7,6,1,3]=>[4,2,5,1,6,7,3]
[4,5,2,7,6,3,1]=>[4,2,5,1,3,6,7]
[4,5,3,1,2,6,7]=>[7,6,4,1,3,5,2]
[4,5,3,1,2,7,6]=>[6,7,4,1,3,5,2]
[4,5,3,1,6,2,7]=>[7,4,1,3,5,2,6]
[4,5,3,1,6,7,2]=>[6,4,1,3,5,2,7]
[4,5,3,1,7,2,6]=>[4,1,3,5,2,7,6]
[4,5,3,1,7,6,2]=>[4,1,3,5,2,6,7]
[4,5,3,2,1,6,7]=>[7,6,4,1,2,3,5]
[4,5,3,2,1,7,6]=>[6,7,4,1,2,3,5]
[4,5,3,2,6,1,7]=>[7,4,2,3,5,1,6]
[4,5,3,2,6,7,1]=>[6,4,2,3,5,1,7]
[4,5,3,2,7,1,6]=>[4,2,3,5,1,7,6]
[4,5,3,2,7,6,1]=>[4,2,3,5,1,6,7]
[4,5,3,6,1,2,7]=>[7,4,3,5,1,6,2]
[4,5,3,6,1,7,2]=>[4,3,5,1,6,2,7]
[4,5,3,6,2,1,7]=>[7,4,3,5,1,2,6]
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]
[4,5,3,6,7,1,2]=>[6,4,3,5,1,7,2]
[4,5,3,6,7,2,1]=>[6,4,3,5,1,2,7]
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]
[4,5,3,7,2,1,6]=>[4,3,5,1,2,7,6]
[4,5,3,7,2,6,1]=>[4,3,5,2,7,1,6]
[4,5,3,7,6,1,2]=>[4,3,5,1,6,7,2]
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]
[4,5,6,1,2,3,7]=>[7,5,4,1,6,3,2]
[4,5,6,1,2,7,3]=>[5,4,1,6,3,7,2]
[4,5,6,1,3,2,7]=>[7,5,4,1,6,2,3]
[4,5,6,1,3,7,2]=>[5,4,1,6,3,2,7]
[4,5,6,1,7,2,3]=>[5,4,1,6,2,7,3]
[4,5,6,1,7,3,2]=>[5,4,1,6,2,3,7]
[4,5,6,2,1,3,7]=>[7,5,4,1,2,6,3]
[4,5,6,2,1,7,3]=>[5,4,1,2,6,3,7]
[4,5,6,2,3,1,7]=>[7,5,4,2,6,1,3]
[4,5,6,2,3,7,1]=>[5,4,2,6,3,1,7]
[4,5,6,2,7,1,3]=>[5,4,2,6,1,7,3]
[4,5,6,2,7,3,1]=>[5,4,2,6,1,3,7]
[4,5,6,3,1,2,7]=>[7,5,4,1,3,6,2]
[4,5,6,3,1,7,2]=>[5,4,1,3,6,2,7]
[4,5,6,3,2,1,7]=>[7,5,4,1,2,3,6]
[4,5,6,3,2,7,1]=>[5,4,2,3,6,1,7]
[4,5,6,3,7,1,2]=>[5,4,3,6,1,7,2]
[4,5,6,3,7,2,1]=>[5,4,3,6,1,2,7]
[4,5,6,7,1,2,3]=>[6,5,4,1,7,3,2]
[4,5,6,7,1,3,2]=>[6,5,4,1,7,2,3]
[4,5,6,7,2,1,3]=>[6,5,4,1,2,7,3]
[4,5,6,7,2,3,1]=>[6,5,4,2,7,1,3]
[4,5,6,7,3,1,2]=>[6,5,4,1,3,7,2]
[4,5,6,7,3,2,1]=>[6,5,4,1,2,3,7]
[4,5,7,1,2,3,6]=>[5,4,1,7,6,3,2]
[4,5,7,1,2,6,3]=>[5,4,1,7,3,6,2]
[4,5,7,1,3,2,6]=>[5,4,1,7,6,2,3]
[4,5,7,1,3,6,2]=>[5,4,1,7,3,2,6]
[4,5,7,1,6,2,3]=>[5,4,1,7,2,6,3]
[4,5,7,1,6,3,2]=>[5,4,1,7,2,3,6]
[4,5,7,2,1,3,6]=>[5,4,1,2,7,6,3]
[4,5,7,2,1,6,3]=>[5,4,1,2,7,3,6]
[4,5,7,2,3,1,6]=>[5,4,2,7,6,1,3]
[4,5,7,2,3,6,1]=>[5,4,2,7,3,1,6]
[4,5,7,2,6,1,3]=>[5,4,2,7,1,6,3]
[4,5,7,2,6,3,1]=>[5,4,2,7,1,3,6]
[4,5,7,3,1,2,6]=>[5,4,1,3,7,6,2]
[4,5,7,3,1,6,2]=>[5,4,1,3,7,2,6]
[4,5,7,3,2,1,6]=>[5,4,1,2,3,7,6]
[4,5,7,3,2,6,1]=>[5,4,2,3,7,1,6]
[4,5,7,3,6,1,2]=>[5,4,3,7,1,6,2]
[4,5,7,3,6,2,1]=>[5,4,3,7,1,2,6]
[4,5,7,6,1,2,3]=>[5,4,1,6,7,3,2]
[4,5,7,6,1,3,2]=>[5,4,1,6,7,2,3]
[4,5,7,6,2,1,3]=>[5,4,1,2,6,7,3]
[4,5,7,6,2,3,1]=>[5,4,2,6,7,1,3]
[4,5,7,6,3,1,2]=>[5,4,1,3,6,7,2]
[4,5,7,6,3,2,1]=>[5,4,1,2,3,6,7]
[4,6,1,2,3,5,7]=>[7,4,1,6,5,3,2]
[4,6,1,2,3,7,5]=>[4,1,6,5,7,3,2]
[4,6,1,2,5,3,7]=>[7,4,1,6,3,5,2]
[4,6,1,2,5,7,3]=>[4,1,6,5,3,7,2]
[4,6,1,2,7,3,5]=>[4,1,6,3,7,5,2]
[4,6,1,2,7,5,3]=>[4,1,6,3,5,7,2]
[4,6,1,3,2,5,7]=>[7,4,1,6,5,2,3]
[4,6,1,3,2,7,5]=>[4,1,6,5,7,2,3]
[4,6,1,3,5,2,7]=>[7,4,1,6,3,2,5]
[4,6,1,3,5,7,2]=>[4,1,6,5,3,2,7]
[4,6,1,3,7,2,5]=>[4,1,6,3,2,7,5]
[4,6,1,3,7,5,2]=>[4,1,6,3,2,5,7]
[4,6,1,5,2,3,7]=>[7,4,1,6,2,5,3]
[4,6,1,5,2,7,3]=>[4,1,6,2,5,3,7]
[4,6,1,5,3,2,7]=>[7,4,1,6,2,3,5]
[4,6,1,5,3,7,2]=>[4,1,6,3,5,2,7]
[4,6,1,5,7,2,3]=>[4,1,6,5,2,7,3]
[4,6,1,5,7,3,2]=>[4,1,6,5,2,3,7]
[4,6,1,7,2,3,5]=>[4,1,6,2,7,5,3]
[4,6,1,7,2,5,3]=>[4,1,6,2,7,3,5]
[4,6,1,7,3,2,5]=>[4,1,6,2,3,7,5]
[4,6,1,7,3,5,2]=>[4,1,6,3,7,2,5]
[4,6,1,7,5,2,3]=>[4,1,6,2,5,7,3]
[4,6,1,7,5,3,2]=>[4,1,6,2,3,5,7]
[4,6,2,1,3,5,7]=>[7,4,1,2,6,5,3]
[4,6,2,1,3,7,5]=>[4,1,2,6,5,7,3]
[4,6,2,1,5,3,7]=>[7,4,1,2,6,3,5]
[4,6,2,1,5,7,3]=>[4,1,2,6,5,3,7]
[4,6,2,1,7,3,5]=>[4,1,2,6,3,7,5]
[4,6,2,1,7,5,3]=>[4,1,2,6,3,5,7]
[4,6,2,3,1,5,7]=>[7,4,2,6,5,1,3]
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]
[4,6,2,3,5,1,7]=>[7,4,2,6,3,1,5]
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]
[4,6,2,3,7,1,5]=>[4,2,6,3,1,7,5]
[4,6,2,3,7,5,1]=>[4,2,6,3,1,5,7]
[4,6,2,5,1,3,7]=>[7,4,2,6,1,5,3]
[4,6,2,5,1,7,3]=>[4,2,6,1,5,3,7]
[4,6,2,5,3,1,7]=>[7,4,2,6,1,3,5]
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]
[4,6,2,5,7,1,3]=>[4,2,6,5,1,7,3]
[4,6,2,5,7,3,1]=>[4,2,6,5,1,3,7]
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]
[4,6,2,7,3,1,5]=>[4,2,6,1,3,7,5]
[4,6,2,7,3,5,1]=>[4,2,6,3,7,1,5]
[4,6,2,7,5,1,3]=>[4,2,6,1,5,7,3]
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]
[4,6,3,1,2,5,7]=>[7,4,1,3,6,5,2]
[4,6,3,1,2,7,5]=>[4,1,3,6,5,7,2]
[4,6,3,1,5,2,7]=>[7,4,1,3,6,2,5]
[4,6,3,1,5,7,2]=>[4,1,3,6,5,2,7]
[4,6,3,1,7,2,5]=>[4,1,3,6,2,7,5]
[4,6,3,1,7,5,2]=>[4,1,3,6,2,5,7]
[4,6,3,2,1,5,7]=>[7,4,1,2,3,6,5]
[4,6,3,2,1,7,5]=>[4,1,2,3,6,5,7]
[4,6,3,2,5,1,7]=>[7,4,2,3,6,1,5]
[4,6,3,2,5,7,1]=>[4,2,3,6,5,1,7]
[4,6,3,2,7,1,5]=>[4,2,3,6,1,7,5]
[4,6,3,2,7,5,1]=>[4,2,3,6,1,5,7]
[4,6,3,5,1,2,7]=>[7,4,3,6,1,5,2]
[4,6,3,5,1,7,2]=>[4,3,6,1,5,2,7]
[4,6,3,5,2,1,7]=>[7,4,3,6,1,2,5]
[4,6,3,5,2,7,1]=>[4,3,6,2,5,1,7]
[4,6,3,5,7,1,2]=>[4,3,6,5,1,7,2]
[4,6,3,5,7,2,1]=>[4,3,6,5,1,2,7]
[4,6,3,7,1,2,5]=>[4,3,6,1,7,5,2]
[4,6,3,7,1,5,2]=>[4,3,6,1,7,2,5]
[4,6,3,7,2,1,5]=>[4,3,6,1,2,7,5]
[4,6,3,7,2,5,1]=>[4,3,6,2,7,1,5]
[4,6,3,7,5,1,2]=>[4,3,6,1,5,7,2]
[4,6,3,7,5,2,1]=>[4,3,6,1,2,5,7]
[4,6,5,1,2,3,7]=>[7,4,1,5,6,3,2]
[4,6,5,1,2,7,3]=>[4,1,5,6,3,7,2]
[4,6,5,1,3,2,7]=>[7,4,1,5,6,2,3]
[4,6,5,1,3,7,2]=>[4,1,5,6,3,2,7]
[4,6,5,1,7,2,3]=>[4,1,5,6,2,7,3]
[4,6,5,1,7,3,2]=>[4,1,5,6,2,3,7]
[4,6,5,2,1,3,7]=>[7,4,1,2,5,6,3]
[4,6,5,2,1,7,3]=>[4,1,2,5,6,3,7]
[4,6,5,2,3,1,7]=>[7,4,2,5,6,1,3]
[4,6,5,2,3,7,1]=>[4,2,5,6,3,1,7]
[4,6,5,2,7,1,3]=>[4,2,5,6,1,7,3]
[4,6,5,2,7,3,1]=>[4,2,5,6,1,3,7]
[4,6,5,3,1,2,7]=>[7,4,1,3,5,6,2]
[4,6,5,3,1,7,2]=>[4,1,3,5,6,2,7]
[4,6,5,3,2,1,7]=>[7,4,1,2,3,5,6]
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]
[4,6,5,3,7,1,2]=>[4,3,5,6,1,7,2]
[4,6,5,3,7,2,1]=>[4,3,5,6,1,2,7]
[4,6,5,7,1,2,3]=>[5,6,4,1,7,3,2]
[4,6,5,7,1,3,2]=>[5,6,4,1,7,2,3]
[4,6,5,7,2,1,3]=>[5,6,4,1,2,7,3]
[4,6,5,7,2,3,1]=>[5,6,4,2,7,1,3]
[4,6,5,7,3,1,2]=>[5,6,4,1,3,7,2]
[4,6,5,7,3,2,1]=>[5,6,4,1,2,3,7]
[4,6,7,1,2,3,5]=>[6,4,1,7,5,3,2]
[4,6,7,1,2,5,3]=>[6,4,1,7,3,5,2]
[4,6,7,1,3,2,5]=>[6,4,1,7,5,2,3]
[4,6,7,1,3,5,2]=>[6,4,1,7,3,2,5]
[4,6,7,1,5,2,3]=>[6,4,1,7,2,5,3]
[4,6,7,1,5,3,2]=>[6,4,1,7,2,3,5]
[4,6,7,2,1,3,5]=>[6,4,1,2,7,5,3]
[4,6,7,2,1,5,3]=>[6,4,1,2,7,3,5]
[4,6,7,2,3,1,5]=>[6,4,2,7,5,1,3]
[4,6,7,2,3,5,1]=>[6,4,2,7,3,1,5]
[4,6,7,2,5,1,3]=>[6,4,2,7,1,5,3]
[4,6,7,2,5,3,1]=>[6,4,2,7,1,3,5]
[4,6,7,3,1,2,5]=>[6,4,1,3,7,5,2]
[4,6,7,3,1,5,2]=>[6,4,1,3,7,2,5]
[4,6,7,3,2,1,5]=>[6,4,1,2,3,7,5]
[4,6,7,3,2,5,1]=>[6,4,2,3,7,1,5]
[4,6,7,3,5,1,2]=>[6,4,3,7,1,5,2]
[4,6,7,3,5,2,1]=>[6,4,3,7,1,2,5]
[4,6,7,5,1,2,3]=>[6,4,1,5,7,3,2]
[4,6,7,5,1,3,2]=>[6,4,1,5,7,2,3]
[4,6,7,5,2,1,3]=>[6,4,1,2,5,7,3]
[4,6,7,5,2,3,1]=>[6,4,2,5,7,1,3]
[4,6,7,5,3,1,2]=>[6,4,1,3,5,7,2]
[4,6,7,5,3,2,1]=>[6,4,1,2,3,5,7]
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]
[4,7,1,2,3,6,5]=>[4,1,7,5,6,3,2]
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]
[4,7,1,2,5,6,3]=>[4,1,7,5,3,6,2]
[4,7,1,2,6,3,5]=>[4,1,7,3,6,5,2]
[4,7,1,2,6,5,3]=>[4,1,7,3,5,6,2]
[4,7,1,3,2,5,6]=>[4,1,7,6,5,2,3]
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]
[4,7,1,3,5,2,6]=>[4,1,7,6,3,2,5]
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]
[4,7,1,3,6,2,5]=>[4,1,7,3,2,6,5]
[4,7,1,3,6,5,2]=>[4,1,7,3,2,5,6]
[4,7,1,5,2,3,6]=>[4,1,7,6,2,5,3]
[4,7,1,5,2,6,3]=>[4,1,7,2,5,3,6]
[4,7,1,5,3,2,6]=>[4,1,7,6,2,3,5]
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]
[4,7,1,5,6,2,3]=>[4,1,7,5,2,6,3]
[4,7,1,5,6,3,2]=>[4,1,7,5,2,3,6]
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]
[4,7,1,6,3,2,5]=>[4,1,7,2,3,6,5]
[4,7,1,6,3,5,2]=>[4,1,7,3,6,2,5]
[4,7,1,6,5,2,3]=>[4,1,7,2,5,6,3]
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]
[4,7,2,1,3,5,6]=>[4,1,2,7,6,5,3]
[4,7,2,1,3,6,5]=>[4,1,2,7,5,6,3]
[4,7,2,1,5,3,6]=>[4,1,2,7,6,3,5]
[4,7,2,1,5,6,3]=>[4,1,2,7,5,3,6]
[4,7,2,1,6,3,5]=>[4,1,2,7,3,6,5]
[4,7,2,1,6,5,3]=>[4,1,2,7,3,5,6]
[4,7,2,3,1,5,6]=>[4,2,7,6,5,1,3]
[4,7,2,3,1,6,5]=>[4,2,7,5,6,1,3]
[4,7,2,3,5,1,6]=>[4,2,7,6,3,1,5]
[4,7,2,3,5,6,1]=>[4,2,7,5,3,1,6]
[4,7,2,3,6,1,5]=>[4,2,7,3,1,6,5]
[4,7,2,3,6,5,1]=>[4,2,7,3,1,5,6]
[4,7,2,5,1,3,6]=>[4,2,7,6,1,5,3]
[4,7,2,5,1,6,3]=>[4,2,7,1,5,3,6]
[4,7,2,5,3,1,6]=>[4,2,7,6,1,3,5]
[4,7,2,5,3,6,1]=>[4,2,7,3,5,1,6]
[4,7,2,5,6,1,3]=>[4,2,7,5,1,6,3]
[4,7,2,5,6,3,1]=>[4,2,7,5,1,3,6]
[4,7,2,6,1,3,5]=>[4,2,7,1,6,5,3]
[4,7,2,6,1,5,3]=>[4,2,7,1,6,3,5]
[4,7,2,6,3,1,5]=>[4,2,7,1,3,6,5]
[4,7,2,6,3,5,1]=>[4,2,7,3,6,1,5]
[4,7,2,6,5,1,3]=>[4,2,7,1,5,6,3]
[4,7,2,6,5,3,1]=>[4,2,7,1,3,5,6]
[4,7,3,1,2,5,6]=>[4,1,3,7,6,5,2]
[4,7,3,1,2,6,5]=>[4,1,3,7,5,6,2]
[4,7,3,1,5,2,6]=>[4,1,3,7,6,2,5]
[4,7,3,1,5,6,2]=>[4,1,3,7,5,2,6]
[4,7,3,1,6,2,5]=>[4,1,3,7,2,6,5]
[4,7,3,1,6,5,2]=>[4,1,3,7,2,5,6]
[4,7,3,2,1,5,6]=>[4,1,2,3,7,6,5]
[4,7,3,2,1,6,5]=>[4,1,2,3,7,5,6]
[4,7,3,2,5,1,6]=>[4,2,3,7,6,1,5]
[4,7,3,2,5,6,1]=>[4,2,3,7,5,1,6]
[4,7,3,2,6,1,5]=>[4,2,3,7,1,6,5]
[4,7,3,2,6,5,1]=>[4,2,3,7,1,5,6]
[4,7,3,5,1,2,6]=>[4,3,7,6,1,5,2]
[4,7,3,5,1,6,2]=>[4,3,7,1,5,2,6]
[4,7,3,5,2,1,6]=>[4,3,7,6,1,2,5]
[4,7,3,5,2,6,1]=>[4,3,7,2,5,1,6]
[4,7,3,5,6,1,2]=>[4,3,7,5,1,6,2]
[4,7,3,5,6,2,1]=>[4,3,7,5,1,2,6]
[4,7,3,6,1,2,5]=>[4,3,7,1,6,5,2]
[4,7,3,6,1,5,2]=>[4,3,7,1,6,2,5]
[4,7,3,6,2,1,5]=>[4,3,7,1,2,6,5]
[4,7,3,6,2,5,1]=>[4,3,7,2,6,1,5]
[4,7,3,6,5,1,2]=>[4,3,7,1,5,6,2]
[4,7,3,6,5,2,1]=>[4,3,7,1,2,5,6]
[4,7,5,1,2,3,6]=>[4,1,5,7,6,3,2]
[4,7,5,1,2,6,3]=>[4,1,5,7,3,6,2]
[4,7,5,1,3,2,6]=>[4,1,5,7,6,2,3]
[4,7,5,1,3,6,2]=>[4,1,5,7,3,2,6]
[4,7,5,1,6,2,3]=>[4,1,5,7,2,6,3]
[4,7,5,1,6,3,2]=>[4,1,5,7,2,3,6]
[4,7,5,2,1,3,6]=>[4,1,2,5,7,6,3]
[4,7,5,2,1,6,3]=>[4,1,2,5,7,3,6]
[4,7,5,2,3,1,6]=>[4,2,5,7,6,1,3]
[4,7,5,2,3,6,1]=>[4,2,5,7,3,1,6]
[4,7,5,2,6,1,3]=>[4,2,5,7,1,6,3]
[4,7,5,2,6,3,1]=>[4,2,5,7,1,3,6]
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]
[4,7,5,3,2,1,6]=>[4,1,2,3,5,7,6]
[4,7,5,3,2,6,1]=>[4,2,3,5,7,1,6]
[4,7,5,3,6,1,2]=>[4,3,5,7,1,6,2]
[4,7,5,3,6,2,1]=>[4,3,5,7,1,2,6]
[4,7,5,6,1,2,3]=>[5,7,4,1,6,3,2]
[4,7,5,6,1,3,2]=>[5,7,4,1,6,2,3]
[4,7,5,6,2,1,3]=>[5,7,4,1,2,6,3]
[4,7,5,6,2,3,1]=>[5,7,4,2,6,1,3]
[4,7,5,6,3,1,2]=>[5,7,4,1,3,6,2]
[4,7,5,6,3,2,1]=>[5,7,4,1,2,3,6]
[4,7,6,1,2,3,5]=>[4,1,6,7,5,3,2]
[4,7,6,1,2,5,3]=>[4,1,6,7,3,5,2]
[4,7,6,1,3,2,5]=>[4,1,6,7,5,2,3]
[4,7,6,1,3,5,2]=>[4,1,6,7,3,2,5]
[4,7,6,1,5,2,3]=>[4,1,6,7,2,5,3]
[4,7,6,1,5,3,2]=>[4,1,6,7,2,3,5]
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]
[4,7,6,2,3,1,5]=>[4,2,6,7,5,1,3]
[4,7,6,2,3,5,1]=>[4,2,6,7,3,1,5]
[4,7,6,2,5,1,3]=>[4,2,6,7,1,5,3]
[4,7,6,2,5,3,1]=>[4,2,6,7,1,3,5]
[4,7,6,3,1,2,5]=>[4,1,3,6,7,5,2]
[4,7,6,3,1,5,2]=>[4,1,3,6,7,2,5]
[4,7,6,3,2,1,5]=>[4,1,2,3,6,7,5]
[4,7,6,3,2,5,1]=>[4,2,3,6,7,1,5]
[4,7,6,3,5,1,2]=>[4,3,6,7,1,5,2]
[4,7,6,3,5,2,1]=>[4,3,6,7,1,2,5]
[4,7,6,5,1,2,3]=>[4,1,5,6,7,3,2]
[4,7,6,5,1,3,2]=>[4,1,5,6,7,2,3]
[4,7,6,5,2,1,3]=>[4,1,2,5,6,7,3]
[4,7,6,5,2,3,1]=>[4,2,5,6,7,1,3]
[4,7,6,5,3,1,2]=>[4,1,3,5,6,7,2]
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]
[5,1,2,3,4,6,7]=>[7,6,1,5,4,3,2]
[5,1,2,3,4,7,6]=>[6,7,1,5,4,3,2]
[5,1,2,3,6,4,7]=>[7,1,5,4,6,3,2]
[5,1,2,3,6,7,4]=>[6,1,5,4,7,3,2]
[5,1,2,3,7,4,6]=>[1,5,4,7,6,3,2]
[5,1,2,3,7,6,4]=>[1,5,4,6,7,3,2]
[5,1,2,4,3,6,7]=>[7,6,1,5,3,4,2]
[5,1,2,4,3,7,6]=>[6,7,1,5,3,4,2]
[5,1,2,4,6,3,7]=>[7,1,5,4,3,6,2]
[5,1,2,4,6,7,3]=>[6,1,5,4,3,7,2]
[5,1,2,4,7,3,6]=>[1,5,4,3,7,6,2]
[5,1,2,4,7,6,3]=>[1,5,4,3,6,7,2]
[5,1,2,6,3,4,7]=>[7,1,5,3,6,4,2]
[5,1,2,6,3,7,4]=>[1,5,3,6,4,7,2]
[5,1,2,6,4,3,7]=>[7,1,5,3,4,6,2]
[5,1,2,6,4,7,3]=>[1,5,4,6,3,7,2]
[5,1,2,6,7,3,4]=>[6,1,5,3,7,4,2]
[5,1,2,6,7,4,3]=>[6,1,5,3,4,7,2]
[5,1,2,7,3,4,6]=>[1,5,3,7,6,4,2]
[5,1,2,7,3,6,4]=>[1,5,3,7,4,6,2]
[5,1,2,7,4,3,6]=>[1,5,3,4,7,6,2]
[5,1,2,7,4,6,3]=>[1,5,4,7,3,6,2]
[5,1,2,7,6,3,4]=>[1,5,3,6,7,4,2]
[5,1,2,7,6,4,3]=>[1,5,3,4,6,7,2]
[5,1,3,2,4,6,7]=>[7,6,1,5,4,2,3]
[5,1,3,2,4,7,6]=>[6,7,1,5,4,2,3]
[5,1,3,2,6,4,7]=>[7,1,5,4,6,2,3]
[5,1,3,2,6,7,4]=>[6,1,5,4,7,2,3]
[5,1,3,2,7,4,6]=>[1,5,4,7,6,2,3]
[5,1,3,2,7,6,4]=>[1,5,4,6,7,2,3]
[5,1,3,4,2,6,7]=>[7,6,1,5,3,2,4]
[5,1,3,4,2,7,6]=>[6,7,1,5,3,2,4]
[5,1,3,4,6,2,7]=>[7,1,5,4,3,2,6]
[5,1,3,4,6,7,2]=>[6,1,5,4,3,2,7]
[5,1,3,4,7,2,6]=>[1,5,4,3,2,7,6]
[5,1,3,4,7,6,2]=>[1,5,4,3,2,6,7]
[5,1,3,6,2,4,7]=>[7,1,5,3,2,6,4]
[5,1,3,6,2,7,4]=>[1,5,3,2,6,4,7]
[5,1,3,6,4,2,7]=>[7,1,5,3,2,4,6]
[5,1,3,6,4,7,2]=>[1,5,4,6,3,2,7]
[5,1,3,6,7,2,4]=>[6,1,5,3,2,7,4]
[5,1,3,6,7,4,2]=>[6,1,5,3,2,4,7]
[5,1,3,7,2,4,6]=>[1,5,3,2,7,6,4]
[5,1,3,7,2,6,4]=>[1,5,3,2,7,4,6]
[5,1,3,7,4,2,6]=>[1,5,3,2,4,7,6]
[5,1,3,7,4,6,2]=>[1,5,4,7,3,2,6]
[5,1,3,7,6,2,4]=>[1,5,3,2,6,7,4]
[5,1,3,7,6,4,2]=>[1,5,3,2,4,6,7]
[5,1,4,2,3,6,7]=>[7,6,1,5,2,4,3]
[5,1,4,2,3,7,6]=>[6,7,1,5,2,4,3]
[5,1,4,2,6,3,7]=>[7,1,5,2,4,3,6]
[5,1,4,2,6,7,3]=>[6,1,5,2,4,3,7]
[5,1,4,2,7,3,6]=>[1,5,2,4,3,7,6]
[5,1,4,2,7,6,3]=>[1,5,2,4,3,6,7]
[5,1,4,3,2,6,7]=>[7,6,1,5,2,3,4]
[5,1,4,3,2,7,6]=>[6,7,1,5,2,3,4]
[5,1,4,3,6,2,7]=>[7,1,5,3,4,2,6]
[5,1,4,3,6,7,2]=>[6,1,5,3,4,2,7]
[5,1,4,3,7,2,6]=>[1,5,3,4,2,7,6]
[5,1,4,3,7,6,2]=>[1,5,3,4,2,6,7]
[5,1,4,6,2,3,7]=>[7,1,5,4,2,6,3]
[5,1,4,6,2,7,3]=>[1,5,4,2,6,3,7]
[5,1,4,6,3,2,7]=>[7,1,5,4,2,3,6]
[5,1,4,6,3,7,2]=>[1,5,4,3,6,2,7]
[5,1,4,6,7,2,3]=>[6,1,5,4,2,7,3]
[5,1,4,6,7,3,2]=>[6,1,5,4,2,3,7]
[5,1,4,7,2,3,6]=>[1,5,4,2,7,6,3]
[5,1,4,7,2,6,3]=>[1,5,4,2,7,3,6]
[5,1,4,7,3,2,6]=>[1,5,4,2,3,7,6]
[5,1,4,7,3,6,2]=>[1,5,4,3,7,2,6]
[5,1,4,7,6,2,3]=>[1,5,4,2,6,7,3]
[5,1,4,7,6,3,2]=>[1,5,4,2,3,6,7]
[5,1,6,2,3,4,7]=>[7,1,5,2,6,4,3]
[5,1,6,2,3,7,4]=>[1,5,2,6,4,7,3]
[5,1,6,2,4,3,7]=>[7,1,5,2,6,3,4]
[5,1,6,2,4,7,3]=>[1,5,2,6,4,3,7]
[5,1,6,2,7,3,4]=>[1,5,2,6,3,7,4]
[5,1,6,2,7,4,3]=>[1,5,2,6,3,4,7]
[5,1,6,3,2,4,7]=>[7,1,5,2,3,6,4]
[5,1,6,3,2,7,4]=>[1,5,2,3,6,4,7]
[5,1,6,3,4,2,7]=>[7,1,5,3,6,2,4]
[5,1,6,3,4,7,2]=>[1,5,3,6,4,2,7]
[5,1,6,3,7,2,4]=>[1,5,3,6,2,7,4]
[5,1,6,3,7,4,2]=>[1,5,3,6,2,4,7]
[5,1,6,4,2,3,7]=>[7,1,5,2,4,6,3]
[5,1,6,4,2,7,3]=>[1,5,2,4,6,3,7]
[5,1,6,4,3,2,7]=>[7,1,5,2,3,4,6]
[5,1,6,4,3,7,2]=>[1,5,3,4,6,2,7]
[5,1,6,4,7,2,3]=>[1,5,4,6,2,7,3]
[5,1,6,4,7,3,2]=>[1,5,4,6,2,3,7]
[5,1,6,7,2,3,4]=>[6,1,5,2,7,4,3]
[5,1,6,7,2,4,3]=>[6,1,5,2,7,3,4]
[5,1,6,7,3,2,4]=>[6,1,5,2,3,7,4]
[5,1,6,7,3,4,2]=>[6,1,5,3,7,2,4]
[5,1,6,7,4,2,3]=>[6,1,5,2,4,7,3]
[5,1,6,7,4,3,2]=>[6,1,5,2,3,4,7]
[5,1,7,2,3,4,6]=>[1,5,2,7,6,4,3]
[5,1,7,2,3,6,4]=>[1,5,2,7,4,6,3]
[5,1,7,2,4,3,6]=>[1,5,2,7,6,3,4]
[5,1,7,2,4,6,3]=>[1,5,2,7,4,3,6]
[5,1,7,2,6,3,4]=>[1,5,2,7,3,6,4]
[5,1,7,2,6,4,3]=>[1,5,2,7,3,4,6]
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]
[5,1,7,3,4,2,6]=>[1,5,3,7,6,2,4]
[5,1,7,3,4,6,2]=>[1,5,3,7,4,2,6]
[5,1,7,3,6,2,4]=>[1,5,3,7,2,6,4]
[5,1,7,3,6,4,2]=>[1,5,3,7,2,4,6]
[5,1,7,4,2,3,6]=>[1,5,2,4,7,6,3]
[5,1,7,4,2,6,3]=>[1,5,2,4,7,3,6]
[5,1,7,4,3,2,6]=>[1,5,2,3,4,7,6]
[5,1,7,4,3,6,2]=>[1,5,3,4,7,2,6]
[5,1,7,4,6,2,3]=>[1,5,4,7,2,6,3]
[5,1,7,4,6,3,2]=>[1,5,4,7,2,3,6]
[5,1,7,6,2,3,4]=>[1,5,2,6,7,4,3]
[5,1,7,6,2,4,3]=>[1,5,2,6,7,3,4]
[5,1,7,6,3,2,4]=>[1,5,2,3,6,7,4]
[5,1,7,6,3,4,2]=>[1,5,3,6,7,2,4]
[5,1,7,6,4,2,3]=>[1,5,2,4,6,7,3]
[5,1,7,6,4,3,2]=>[1,5,2,3,4,6,7]
[5,2,1,3,4,6,7]=>[7,6,1,2,5,4,3]
[5,2,1,3,4,7,6]=>[6,7,1,2,5,4,3]
[5,2,1,3,6,4,7]=>[7,1,2,5,4,6,3]
[5,2,1,3,6,7,4]=>[6,1,2,5,4,7,3]
[5,2,1,3,7,4,6]=>[1,2,5,4,7,6,3]
[5,2,1,3,7,6,4]=>[1,2,5,4,6,7,3]
[5,2,1,4,3,6,7]=>[7,6,1,2,5,3,4]
[5,2,1,4,3,7,6]=>[6,7,1,2,5,3,4]
[5,2,1,4,6,3,7]=>[7,1,2,5,4,3,6]
[5,2,1,4,6,7,3]=>[6,1,2,5,4,3,7]
[5,2,1,4,7,3,6]=>[1,2,5,4,3,7,6]
[5,2,1,4,7,6,3]=>[1,2,5,4,3,6,7]
[5,2,1,6,3,4,7]=>[7,1,2,5,3,6,4]
[5,2,1,6,3,7,4]=>[1,2,5,3,6,4,7]
[5,2,1,6,4,3,7]=>[7,1,2,5,3,4,6]
[5,2,1,6,4,7,3]=>[1,2,5,4,6,3,7]
[5,2,1,6,7,3,4]=>[6,1,2,5,3,7,4]
[5,2,1,6,7,4,3]=>[6,1,2,5,3,4,7]
[5,2,1,7,3,4,6]=>[1,2,5,3,7,6,4]
[5,2,1,7,3,6,4]=>[1,2,5,3,7,4,6]
[5,2,1,7,4,3,6]=>[1,2,5,3,4,7,6]
[5,2,1,7,4,6,3]=>[1,2,5,4,7,3,6]
[5,2,1,7,6,3,4]=>[1,2,5,3,6,7,4]
[5,2,1,7,6,4,3]=>[1,2,5,3,4,6,7]
[5,2,3,1,4,6,7]=>[7,6,2,5,4,1,3]
[5,2,3,1,4,7,6]=>[6,7,2,5,4,1,3]
[5,2,3,1,6,4,7]=>[7,2,5,4,6,1,3]
[5,2,3,1,6,7,4]=>[6,2,5,4,7,1,3]
[5,2,3,1,7,4,6]=>[2,5,4,7,6,1,3]
[5,2,3,1,7,6,4]=>[2,5,4,6,7,1,3]
[5,2,3,4,1,6,7]=>[7,6,2,5,3,1,4]
[5,2,3,4,1,7,6]=>[6,7,2,5,3,1,4]
[5,2,3,4,6,1,7]=>[7,2,5,4,3,1,6]
[5,2,3,4,6,7,1]=>[6,2,5,4,3,1,7]
[5,2,3,4,7,1,6]=>[2,5,4,3,1,7,6]
[5,2,3,4,7,6,1]=>[2,5,4,3,1,6,7]
[5,2,3,6,1,4,7]=>[7,2,5,3,1,6,4]
[5,2,3,6,1,7,4]=>[2,5,3,1,6,4,7]
[5,2,3,6,4,1,7]=>[7,2,5,3,1,4,6]
[5,2,3,6,4,7,1]=>[2,5,4,6,3,1,7]
[5,2,3,6,7,1,4]=>[6,2,5,3,1,7,4]
[5,2,3,6,7,4,1]=>[6,2,5,3,1,4,7]
[5,2,3,7,1,4,6]=>[2,5,3,1,7,6,4]
[5,2,3,7,1,6,4]=>[2,5,3,1,7,4,6]
[5,2,3,7,4,1,6]=>[2,5,3,1,4,7,6]
[5,2,3,7,4,6,1]=>[2,5,4,7,3,1,6]
[5,2,3,7,6,1,4]=>[2,5,3,1,6,7,4]
[5,2,3,7,6,4,1]=>[2,5,3,1,4,6,7]
[5,2,4,1,3,6,7]=>[7,6,2,5,1,4,3]
[5,2,4,1,3,7,6]=>[6,7,2,5,1,4,3]
[5,2,4,1,6,3,7]=>[7,2,5,1,4,3,6]
[5,2,4,1,6,7,3]=>[6,2,5,1,4,3,7]
[5,2,4,1,7,3,6]=>[2,5,1,4,3,7,6]
[5,2,4,1,7,6,3]=>[2,5,1,4,3,6,7]
[5,2,4,3,1,6,7]=>[7,6,2,5,1,3,4]
[5,2,4,3,1,7,6]=>[6,7,2,5,1,3,4]
[5,2,4,3,6,1,7]=>[7,2,5,3,4,1,6]
[5,2,4,3,6,7,1]=>[6,2,5,3,4,1,7]
[5,2,4,3,7,1,6]=>[2,5,3,4,1,7,6]
[5,2,4,3,7,6,1]=>[2,5,3,4,1,6,7]
[5,2,4,6,1,3,7]=>[7,2,5,4,1,6,3]
[5,2,4,6,1,7,3]=>[2,5,4,1,6,3,7]
[5,2,4,6,3,1,7]=>[7,2,5,4,1,3,6]
[5,2,4,6,3,7,1]=>[2,5,4,3,6,1,7]
[5,2,4,6,7,1,3]=>[6,2,5,4,1,7,3]
[5,2,4,6,7,3,1]=>[6,2,5,4,1,3,7]
[5,2,4,7,1,3,6]=>[2,5,4,1,7,6,3]
[5,2,4,7,1,6,3]=>[2,5,4,1,7,3,6]
[5,2,4,7,3,1,6]=>[2,5,4,1,3,7,6]
[5,2,4,7,3,6,1]=>[2,5,4,3,7,1,6]
[5,2,4,7,6,1,3]=>[2,5,4,1,6,7,3]
[5,2,4,7,6,3,1]=>[2,5,4,1,3,6,7]
[5,2,6,1,3,4,7]=>[7,2,5,1,6,4,3]
[5,2,6,1,3,7,4]=>[2,5,1,6,4,7,3]
[5,2,6,1,4,3,7]=>[7,2,5,1,6,3,4]
[5,2,6,1,4,7,3]=>[2,5,1,6,4,3,7]
[5,2,6,1,7,3,4]=>[2,5,1,6,3,7,4]
[5,2,6,1,7,4,3]=>[2,5,1,6,3,4,7]
[5,2,6,3,1,4,7]=>[7,2,5,1,3,6,4]
[5,2,6,3,1,7,4]=>[2,5,1,3,6,4,7]
[5,2,6,3,4,1,7]=>[7,2,5,3,6,1,4]
[5,2,6,3,4,7,1]=>[2,5,3,6,4,1,7]
[5,2,6,3,7,1,4]=>[2,5,3,6,1,7,4]
[5,2,6,3,7,4,1]=>[2,5,3,6,1,4,7]
[5,2,6,4,1,3,7]=>[7,2,5,1,4,6,3]
[5,2,6,4,1,7,3]=>[2,5,1,4,6,3,7]
[5,2,6,4,3,1,7]=>[7,2,5,1,3,4,6]
[5,2,6,4,3,7,1]=>[2,5,3,4,6,1,7]
[5,2,6,4,7,1,3]=>[2,5,4,6,1,7,3]
[5,2,6,4,7,3,1]=>[2,5,4,6,1,3,7]
[5,2,6,7,1,3,4]=>[6,2,5,1,7,4,3]
[5,2,6,7,1,4,3]=>[6,2,5,1,7,3,4]
[5,2,6,7,3,1,4]=>[6,2,5,1,3,7,4]
[5,2,6,7,3,4,1]=>[6,2,5,3,7,1,4]
[5,2,6,7,4,1,3]=>[6,2,5,1,4,7,3]
[5,2,6,7,4,3,1]=>[6,2,5,1,3,4,7]
[5,2,7,1,3,4,6]=>[2,5,1,7,6,4,3]
[5,2,7,1,3,6,4]=>[2,5,1,7,4,6,3]
[5,2,7,1,4,3,6]=>[2,5,1,7,6,3,4]
[5,2,7,1,4,6,3]=>[2,5,1,7,4,3,6]
[5,2,7,1,6,3,4]=>[2,5,1,7,3,6,4]
[5,2,7,1,6,4,3]=>[2,5,1,7,3,4,6]
[5,2,7,3,1,4,6]=>[2,5,1,3,7,6,4]
[5,2,7,3,1,6,4]=>[2,5,1,3,7,4,6]
[5,2,7,3,4,1,6]=>[2,5,3,7,6,1,4]
[5,2,7,3,4,6,1]=>[2,5,3,7,4,1,6]
[5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]
[5,2,7,3,6,4,1]=>[2,5,3,7,1,4,6]
[5,2,7,4,1,3,6]=>[2,5,1,4,7,6,3]
[5,2,7,4,1,6,3]=>[2,5,1,4,7,3,6]
[5,2,7,4,3,1,6]=>[2,5,1,3,4,7,6]
[5,2,7,4,3,6,1]=>[2,5,3,4,7,1,6]
[5,2,7,4,6,1,3]=>[2,5,4,7,1,6,3]
[5,2,7,4,6,3,1]=>[2,5,4,7,1,3,6]
[5,2,7,6,1,3,4]=>[2,5,1,6,7,4,3]
[5,2,7,6,1,4,3]=>[2,5,1,6,7,3,4]
[5,2,7,6,3,1,4]=>[2,5,1,3,6,7,4]
[5,2,7,6,3,4,1]=>[2,5,3,6,7,1,4]
[5,2,7,6,4,1,3]=>[2,5,1,4,6,7,3]
[5,2,7,6,4,3,1]=>[2,5,1,3,4,6,7]
[5,3,1,2,4,6,7]=>[7,6,1,3,5,4,2]
[5,3,1,2,4,7,6]=>[6,7,1,3,5,4,2]
[5,3,1,2,6,4,7]=>[7,1,3,5,4,6,2]
[5,3,1,2,6,7,4]=>[6,1,3,5,4,7,2]
[5,3,1,2,7,4,6]=>[1,3,5,4,7,6,2]
[5,3,1,2,7,6,4]=>[1,3,5,4,6,7,2]
[5,3,1,4,2,6,7]=>[7,6,1,3,5,2,4]
[5,3,1,4,2,7,6]=>[6,7,1,3,5,2,4]
[5,3,1,4,6,2,7]=>[7,1,3,5,4,2,6]
[5,3,1,4,6,7,2]=>[6,1,3,5,4,2,7]
[5,3,1,4,7,2,6]=>[1,3,5,4,2,7,6]
[5,3,1,4,7,6,2]=>[1,3,5,4,2,6,7]
[5,3,1,6,2,4,7]=>[7,1,3,5,2,6,4]
[5,3,1,6,2,7,4]=>[1,3,5,2,6,4,7]
[5,3,1,6,4,2,7]=>[7,1,3,5,2,4,6]
[5,3,1,6,4,7,2]=>[1,3,5,4,6,2,7]
[5,3,1,6,7,2,4]=>[6,1,3,5,2,7,4]
[5,3,1,6,7,4,2]=>[6,1,3,5,2,4,7]
[5,3,1,7,2,4,6]=>[1,3,5,2,7,6,4]
[5,3,1,7,2,6,4]=>[1,3,5,2,7,4,6]
[5,3,1,7,4,2,6]=>[1,3,5,2,4,7,6]
[5,3,1,7,4,6,2]=>[1,3,5,4,7,2,6]
[5,3,1,7,6,2,4]=>[1,3,5,2,6,7,4]
[5,3,1,7,6,4,2]=>[1,3,5,2,4,6,7]
[5,3,2,1,4,6,7]=>[7,6,1,2,3,5,4]
[5,3,2,1,4,7,6]=>[6,7,1,2,3,5,4]
[5,3,2,1,6,4,7]=>[7,1,2,3,5,4,6]
[5,3,2,1,6,7,4]=>[6,1,2,3,5,4,7]
[5,3,2,1,7,4,6]=>[1,2,3,5,4,7,6]
[5,3,2,1,7,6,4]=>[1,2,3,5,4,6,7]
[5,3,2,4,1,6,7]=>[7,6,2,3,5,1,4]
[5,3,2,4,1,7,6]=>[6,7,2,3,5,1,4]
[5,3,2,4,6,1,7]=>[7,2,3,5,4,1,6]
[5,3,2,4,6,7,1]=>[6,2,3,5,4,1,7]
[5,3,2,4,7,1,6]=>[2,3,5,4,1,7,6]
[5,3,2,4,7,6,1]=>[2,3,5,4,1,6,7]
[5,3,2,6,1,4,7]=>[7,2,3,5,1,6,4]
[5,3,2,6,1,7,4]=>[2,3,5,1,6,4,7]
[5,3,2,6,4,1,7]=>[7,2,3,5,1,4,6]
[5,3,2,6,4,7,1]=>[2,3,5,4,6,1,7]
[5,3,2,6,7,1,4]=>[6,2,3,5,1,7,4]
[5,3,2,6,7,4,1]=>[6,2,3,5,1,4,7]
[5,3,2,7,1,4,6]=>[2,3,5,1,7,6,4]
[5,3,2,7,1,6,4]=>[2,3,5,1,7,4,6]
[5,3,2,7,4,1,6]=>[2,3,5,1,4,7,6]
[5,3,2,7,4,6,1]=>[2,3,5,4,7,1,6]
[5,3,2,7,6,1,4]=>[2,3,5,1,6,7,4]
[5,3,2,7,6,4,1]=>[2,3,5,1,4,6,7]
[5,3,4,1,2,6,7]=>[7,6,3,5,1,4,2]
[5,3,4,1,2,7,6]=>[6,7,3,5,1,4,2]
[5,3,4,1,6,2,7]=>[7,3,5,1,4,2,6]
[5,3,4,1,6,7,2]=>[6,3,5,1,4,2,7]
[5,3,4,1,7,2,6]=>[3,5,1,4,2,7,6]
[5,3,4,1,7,6,2]=>[3,5,1,4,2,6,7]
[5,3,4,2,1,6,7]=>[7,6,3,5,1,2,4]
[5,3,4,2,1,7,6]=>[6,7,3,5,1,2,4]
[5,3,4,2,6,1,7]=>[7,3,5,2,4,1,6]
[5,3,4,2,6,7,1]=>[6,3,5,2,4,1,7]
[5,3,4,2,7,1,6]=>[3,5,2,4,1,7,6]
[5,3,4,2,7,6,1]=>[3,5,2,4,1,6,7]
[5,3,4,6,1,2,7]=>[7,3,5,4,1,6,2]
[5,3,4,6,1,7,2]=>[3,5,4,1,6,2,7]
[5,3,4,6,2,1,7]=>[7,3,5,4,1,2,6]
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]
[5,3,4,6,7,1,2]=>[6,3,5,4,1,7,2]
[5,3,4,6,7,2,1]=>[6,3,5,4,1,2,7]
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]
[5,3,4,7,2,1,6]=>[3,5,4,1,2,7,6]
[5,3,4,7,2,6,1]=>[3,5,4,2,7,1,6]
[5,3,4,7,6,1,2]=>[3,5,4,1,6,7,2]
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]
[5,3,6,1,2,4,7]=>[7,3,5,1,6,4,2]
[5,3,6,1,2,7,4]=>[3,5,1,6,4,7,2]
[5,3,6,1,4,2,7]=>[7,3,5,1,6,2,4]
[5,3,6,1,4,7,2]=>[3,5,1,6,4,2,7]
[5,3,6,1,7,2,4]=>[3,5,1,6,2,7,4]
[5,3,6,1,7,4,2]=>[3,5,1,6,2,4,7]
[5,3,6,2,1,4,7]=>[7,3,5,1,2,6,4]
[5,3,6,2,1,7,4]=>[3,5,1,2,6,4,7]
[5,3,6,2,4,1,7]=>[7,3,5,2,6,1,4]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]
[5,3,6,4,1,2,7]=>[7,3,5,1,4,6,2]
[5,3,6,4,1,7,2]=>[3,5,1,4,6,2,7]
[5,3,6,4,2,1,7]=>[7,3,5,1,2,4,6]
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]
[5,3,6,4,7,1,2]=>[3,5,4,6,1,7,2]
[5,3,6,4,7,2,1]=>[3,5,4,6,1,2,7]
[5,3,6,7,1,2,4]=>[6,3,5,1,7,4,2]
[5,3,6,7,1,4,2]=>[6,3,5,1,7,2,4]
[5,3,6,7,2,1,4]=>[6,3,5,1,2,7,4]
[5,3,6,7,2,4,1]=>[6,3,5,2,7,1,4]
[5,3,6,7,4,1,2]=>[6,3,5,1,4,7,2]
[5,3,6,7,4,2,1]=>[6,3,5,1,2,4,7]
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]
[5,3,7,1,2,6,4]=>[3,5,1,7,4,6,2]
[5,3,7,1,4,2,6]=>[3,5,1,7,6,2,4]
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]
[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]
[5,3,7,2,1,4,6]=>[3,5,1,2,7,6,4]
[5,3,7,2,1,6,4]=>[3,5,1,2,7,4,6]
[5,3,7,2,4,1,6]=>[3,5,2,7,6,1,4]
[5,3,7,2,4,6,1]=>[3,5,2,7,4,1,6]
[5,3,7,2,6,1,4]=>[3,5,2,7,1,6,4]
[5,3,7,2,6,4,1]=>[3,5,2,7,1,4,6]
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]
[5,3,7,4,2,1,6]=>[3,5,1,2,4,7,6]
[5,3,7,4,2,6,1]=>[3,5,2,4,7,1,6]
[5,3,7,4,6,1,2]=>[3,5,4,7,1,6,2]
[5,3,7,4,6,2,1]=>[3,5,4,7,1,2,6]
[5,3,7,6,1,2,4]=>[3,5,1,6,7,4,2]
[5,3,7,6,1,4,2]=>[3,5,1,6,7,2,4]
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]
[5,3,7,6,2,4,1]=>[3,5,2,6,7,1,4]
[5,3,7,6,4,1,2]=>[3,5,1,4,6,7,2]
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]
[5,4,1,2,3,6,7]=>[7,6,1,4,5,3,2]
[5,4,1,2,3,7,6]=>[6,7,1,4,5,3,2]
[5,4,1,2,6,3,7]=>[7,1,4,5,3,6,2]
[5,4,1,2,6,7,3]=>[6,1,4,5,3,7,2]
[5,4,1,2,7,3,6]=>[1,4,5,3,7,6,2]
[5,4,1,2,7,6,3]=>[1,4,5,3,6,7,2]
[5,4,1,3,2,6,7]=>[7,6,1,4,5,2,3]
[5,4,1,3,2,7,6]=>[6,7,1,4,5,2,3]
[5,4,1,3,6,2,7]=>[7,1,4,5,3,2,6]
[5,4,1,3,6,7,2]=>[6,1,4,5,3,2,7]
[5,4,1,3,7,2,6]=>[1,4,5,3,2,7,6]
[5,4,1,3,7,6,2]=>[1,4,5,3,2,6,7]
[5,4,1,6,2,3,7]=>[7,1,4,5,2,6,3]
[5,4,1,6,2,7,3]=>[1,4,5,2,6,3,7]
[5,4,1,6,3,2,7]=>[7,1,4,5,2,3,6]
[5,4,1,6,3,7,2]=>[1,4,5,3,6,2,7]
[5,4,1,6,7,2,3]=>[6,1,4,5,2,7,3]
[5,4,1,6,7,3,2]=>[6,1,4,5,2,3,7]
[5,4,1,7,2,3,6]=>[1,4,5,2,7,6,3]
[5,4,1,7,2,6,3]=>[1,4,5,2,7,3,6]
[5,4,1,7,3,2,6]=>[1,4,5,2,3,7,6]
[5,4,1,7,3,6,2]=>[1,4,5,3,7,2,6]
[5,4,1,7,6,2,3]=>[1,4,5,2,6,7,3]
[5,4,1,7,6,3,2]=>[1,4,5,2,3,6,7]
[5,4,2,1,3,6,7]=>[7,6,1,2,4,5,3]
[5,4,2,1,3,7,6]=>[6,7,1,2,4,5,3]
[5,4,2,1,6,3,7]=>[7,1,2,4,5,3,6]
[5,4,2,1,6,7,3]=>[6,1,2,4,5,3,7]
[5,4,2,1,7,3,6]=>[1,2,4,5,3,7,6]
[5,4,2,1,7,6,3]=>[1,2,4,5,3,6,7]
[5,4,2,3,1,6,7]=>[7,6,2,4,5,1,3]
[5,4,2,3,1,7,6]=>[6,7,2,4,5,1,3]
[5,4,2,3,6,1,7]=>[7,2,4,5,3,1,6]
[5,4,2,3,6,7,1]=>[6,2,4,5,3,1,7]
[5,4,2,3,7,1,6]=>[2,4,5,3,1,7,6]
[5,4,2,3,7,6,1]=>[2,4,5,3,1,6,7]
[5,4,2,6,1,3,7]=>[7,2,4,5,1,6,3]
[5,4,2,6,1,7,3]=>[2,4,5,1,6,3,7]
[5,4,2,6,3,1,7]=>[7,2,4,5,1,3,6]
[5,4,2,6,3,7,1]=>[2,4,5,3,6,1,7]
[5,4,2,6,7,1,3]=>[6,2,4,5,1,7,3]
[5,4,2,6,7,3,1]=>[6,2,4,5,1,3,7]
[5,4,2,7,1,3,6]=>[2,4,5,1,7,6,3]
[5,4,2,7,1,6,3]=>[2,4,5,1,7,3,6]
[5,4,2,7,3,1,6]=>[2,4,5,1,3,7,6]
[5,4,2,7,3,6,1]=>[2,4,5,3,7,1,6]
[5,4,2,7,6,1,3]=>[2,4,5,1,6,7,3]
[5,4,2,7,6,3,1]=>[2,4,5,1,3,6,7]
[5,4,3,1,2,6,7]=>[7,6,1,3,4,5,2]
[5,4,3,1,2,7,6]=>[6,7,1,3,4,5,2]
[5,4,3,1,6,2,7]=>[7,1,3,4,5,2,6]
[5,4,3,1,6,7,2]=>[6,1,3,4,5,2,7]
[5,4,3,1,7,2,6]=>[1,3,4,5,2,7,6]
[5,4,3,1,7,6,2]=>[1,3,4,5,2,6,7]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]
[5,4,3,2,6,1,7]=>[7,2,3,4,5,1,6]
[5,4,3,2,6,7,1]=>[6,2,3,4,5,1,7]
[5,4,3,2,7,1,6]=>[2,3,4,5,1,7,6]
[5,4,3,2,7,6,1]=>[2,3,4,5,1,6,7]
[5,4,3,6,1,2,7]=>[7,3,4,5,1,6,2]
[5,4,3,6,1,7,2]=>[3,4,5,1,6,2,7]
[5,4,3,6,2,1,7]=>[7,3,4,5,1,2,6]
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]
[5,4,3,6,7,1,2]=>[6,3,4,5,1,7,2]
[5,4,3,6,7,2,1]=>[6,3,4,5,1,2,7]
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]
[5,4,3,7,2,1,6]=>[3,4,5,1,2,7,6]
[5,4,3,7,2,6,1]=>[3,4,5,2,7,1,6]
[5,4,3,7,6,1,2]=>[3,4,5,1,6,7,2]
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]
[5,4,6,1,2,3,7]=>[7,4,5,1,6,3,2]
[5,4,6,1,2,7,3]=>[4,5,1,6,3,7,2]
[5,4,6,1,3,2,7]=>[7,4,5,1,6,2,3]
[5,4,6,1,3,7,2]=>[4,5,1,6,3,2,7]
[5,4,6,1,7,2,3]=>[4,5,1,6,2,7,3]
[5,4,6,1,7,3,2]=>[4,5,1,6,2,3,7]
[5,4,6,2,1,3,7]=>[7,4,5,1,2,6,3]
[5,4,6,2,1,7,3]=>[4,5,1,2,6,3,7]
[5,4,6,2,3,1,7]=>[7,4,5,2,6,1,3]
[5,4,6,2,3,7,1]=>[4,5,2,6,3,1,7]
[5,4,6,2,7,1,3]=>[4,5,2,6,1,7,3]
[5,4,6,2,7,3,1]=>[4,5,2,6,1,3,7]
[5,4,6,3,1,2,7]=>[7,4,5,1,3,6,2]
[5,4,6,3,1,7,2]=>[4,5,1,3,6,2,7]
[5,4,6,3,2,1,7]=>[7,4,5,1,2,3,6]
[5,4,6,3,2,7,1]=>[4,5,2,3,6,1,7]
[5,4,6,3,7,1,2]=>[4,5,3,6,1,7,2]
[5,4,6,3,7,2,1]=>[4,5,3,6,1,2,7]
[5,4,6,7,1,2,3]=>[6,4,5,1,7,3,2]
[5,4,6,7,1,3,2]=>[6,4,5,1,7,2,3]
[5,4,6,7,2,1,3]=>[6,4,5,1,2,7,3]
[5,4,6,7,2,3,1]=>[6,4,5,2,7,1,3]
[5,4,6,7,3,1,2]=>[6,4,5,1,3,7,2]
[5,4,6,7,3,2,1]=>[6,4,5,1,2,3,7]
[5,4,7,1,2,3,6]=>[4,5,1,7,6,3,2]
[5,4,7,1,2,6,3]=>[4,5,1,7,3,6,2]
[5,4,7,1,3,2,6]=>[4,5,1,7,6,2,3]
[5,4,7,1,3,6,2]=>[4,5,1,7,3,2,6]
[5,4,7,1,6,2,3]=>[4,5,1,7,2,6,3]
[5,4,7,1,6,3,2]=>[4,5,1,7,2,3,6]
[5,4,7,2,1,3,6]=>[4,5,1,2,7,6,3]
[5,4,7,2,1,6,3]=>[4,5,1,2,7,3,6]
[5,4,7,2,3,1,6]=>[4,5,2,7,6,1,3]
[5,4,7,2,3,6,1]=>[4,5,2,7,3,1,6]
[5,4,7,2,6,1,3]=>[4,5,2,7,1,6,3]
[5,4,7,2,6,3,1]=>[4,5,2,7,1,3,6]
[5,4,7,3,1,2,6]=>[4,5,1,3,7,6,2]
[5,4,7,3,1,6,2]=>[4,5,1,3,7,2,6]
[5,4,7,3,2,1,6]=>[4,5,1,2,3,7,6]
[5,4,7,3,2,6,1]=>[4,5,2,3,7,1,6]
[5,4,7,3,6,1,2]=>[4,5,3,7,1,6,2]
[5,4,7,3,6,2,1]=>[4,5,3,7,1,2,6]
[5,4,7,6,1,2,3]=>[4,5,1,6,7,3,2]
[5,4,7,6,1,3,2]=>[4,5,1,6,7,2,3]
[5,4,7,6,2,1,3]=>[4,5,1,2,6,7,3]
[5,4,7,6,2,3,1]=>[4,5,2,6,7,1,3]
[5,4,7,6,3,1,2]=>[4,5,1,3,6,7,2]
[5,4,7,6,3,2,1]=>[4,5,1,2,3,6,7]
[5,6,1,2,3,4,7]=>[7,5,1,6,4,3,2]
[5,6,1,2,3,7,4]=>[5,1,6,4,7,3,2]
[5,6,1,2,4,3,7]=>[7,5,1,6,3,4,2]
[5,6,1,2,4,7,3]=>[5,1,6,4,3,7,2]
[5,6,1,2,7,3,4]=>[5,1,6,3,7,4,2]
[5,6,1,2,7,4,3]=>[5,1,6,3,4,7,2]
[5,6,1,3,2,4,7]=>[7,5,1,6,4,2,3]
[5,6,1,3,2,7,4]=>[5,1,6,4,7,2,3]
[5,6,1,3,4,2,7]=>[7,5,1,6,3,2,4]
[5,6,1,3,4,7,2]=>[5,1,6,4,3,2,7]
[5,6,1,3,7,2,4]=>[5,1,6,3,2,7,4]
[5,6,1,3,7,4,2]=>[5,1,6,3,2,4,7]
[5,6,1,4,2,3,7]=>[7,5,1,6,2,4,3]
[5,6,1,4,2,7,3]=>[5,1,6,2,4,3,7]
[5,6,1,4,3,2,7]=>[7,5,1,6,2,3,4]
[5,6,1,4,3,7,2]=>[5,1,6,3,4,2,7]
[5,6,1,4,7,2,3]=>[5,1,6,4,2,7,3]
[5,6,1,4,7,3,2]=>[5,1,6,4,2,3,7]
[5,6,1,7,2,3,4]=>[5,1,6,2,7,4,3]
[5,6,1,7,2,4,3]=>[5,1,6,2,7,3,4]
[5,6,1,7,3,2,4]=>[5,1,6,2,3,7,4]
[5,6,1,7,3,4,2]=>[5,1,6,3,7,2,4]
[5,6,1,7,4,2,3]=>[5,1,6,2,4,7,3]
[5,6,1,7,4,3,2]=>[5,1,6,2,3,4,7]
[5,6,2,1,3,4,7]=>[7,5,1,2,6,4,3]
[5,6,2,1,3,7,4]=>[5,1,2,6,4,7,3]
[5,6,2,1,4,3,7]=>[7,5,1,2,6,3,4]
[5,6,2,1,4,7,3]=>[5,1,2,6,4,3,7]
[5,6,2,1,7,3,4]=>[5,1,2,6,3,7,4]
[5,6,2,1,7,4,3]=>[5,1,2,6,3,4,7]
[5,6,2,3,1,4,7]=>[7,5,2,6,4,1,3]
[5,6,2,3,1,7,4]=>[5,2,6,4,7,1,3]
[5,6,2,3,4,1,7]=>[7,5,2,6,3,1,4]
[5,6,2,3,4,7,1]=>[5,2,6,4,3,1,7]
[5,6,2,3,7,1,4]=>[5,2,6,3,1,7,4]
[5,6,2,3,7,4,1]=>[5,2,6,3,1,4,7]
[5,6,2,4,1,3,7]=>[7,5,2,6,1,4,3]
[5,6,2,4,1,7,3]=>[5,2,6,1,4,3,7]
[5,6,2,4,3,1,7]=>[7,5,2,6,1,3,4]
[5,6,2,4,3,7,1]=>[5,2,6,3,4,1,7]
[5,6,2,4,7,1,3]=>[5,2,6,4,1,7,3]
[5,6,2,4,7,3,1]=>[5,2,6,4,1,3,7]
[5,6,2,7,1,3,4]=>[5,2,6,1,7,4,3]
[5,6,2,7,1,4,3]=>[5,2,6,1,7,3,4]
[5,6,2,7,3,1,4]=>[5,2,6,1,3,7,4]
[5,6,2,7,3,4,1]=>[5,2,6,3,7,1,4]
[5,6,2,7,4,1,3]=>[5,2,6,1,4,7,3]
[5,6,2,7,4,3,1]=>[5,2,6,1,3,4,7]
[5,6,3,1,2,4,7]=>[7,5,1,3,6,4,2]
[5,6,3,1,2,7,4]=>[5,1,3,6,4,7,2]
[5,6,3,1,4,2,7]=>[7,5,1,3,6,2,4]
[5,6,3,1,4,7,2]=>[5,1,3,6,4,2,7]
[5,6,3,1,7,2,4]=>[5,1,3,6,2,7,4]
[5,6,3,1,7,4,2]=>[5,1,3,6,2,4,7]
[5,6,3,2,1,4,7]=>[7,5,1,2,3,6,4]
[5,6,3,2,1,7,4]=>[5,1,2,3,6,4,7]
[5,6,3,2,4,1,7]=>[7,5,2,3,6,1,4]
[5,6,3,2,4,7,1]=>[5,2,3,6,4,1,7]
[5,6,3,2,7,1,4]=>[5,2,3,6,1,7,4]
[5,6,3,2,7,4,1]=>[5,2,3,6,1,4,7]
[5,6,3,4,1,2,7]=>[7,5,3,6,1,4,2]
[5,6,3,4,1,7,2]=>[5,3,6,1,4,2,7]
[5,6,3,4,2,1,7]=>[7,5,3,6,1,2,4]
[5,6,3,4,2,7,1]=>[5,3,6,2,4,1,7]
[5,6,3,4,7,1,2]=>[5,3,6,4,1,7,2]
[5,6,3,4,7,2,1]=>[5,3,6,4,1,2,7]
[5,6,3,7,1,2,4]=>[5,3,6,1,7,4,2]
[5,6,3,7,1,4,2]=>[5,3,6,1,7,2,4]
[5,6,3,7,2,1,4]=>[5,3,6,1,2,7,4]
[5,6,3,7,2,4,1]=>[5,3,6,2,7,1,4]
[5,6,3,7,4,1,2]=>[5,3,6,1,4,7,2]
[5,6,3,7,4,2,1]=>[5,3,6,1,2,4,7]
[5,6,4,1,2,3,7]=>[7,5,1,4,6,3,2]
[5,6,4,1,2,7,3]=>[5,1,4,6,3,7,2]
[5,6,4,1,3,2,7]=>[7,5,1,4,6,2,3]
[5,6,4,1,3,7,2]=>[5,1,4,6,3,2,7]
[5,6,4,1,7,2,3]=>[5,1,4,6,2,7,3]
[5,6,4,1,7,3,2]=>[5,1,4,6,2,3,7]
[5,6,4,2,1,3,7]=>[7,5,1,2,4,6,3]
[5,6,4,2,1,7,3]=>[5,1,2,4,6,3,7]
[5,6,4,2,3,1,7]=>[7,5,2,4,6,1,3]
[5,6,4,2,3,7,1]=>[5,2,4,6,3,1,7]
[5,6,4,2,7,1,3]=>[5,2,4,6,1,7,3]
[5,6,4,2,7,3,1]=>[5,2,4,6,1,3,7]
[5,6,4,3,1,2,7]=>[7,5,1,3,4,6,2]
[5,6,4,3,1,7,2]=>[5,1,3,4,6,2,7]
[5,6,4,3,2,1,7]=>[7,5,1,2,3,4,6]
[5,6,4,3,2,7,1]=>[5,2,3,4,6,1,7]
[5,6,4,3,7,1,2]=>[5,3,4,6,1,7,2]
[5,6,4,3,7,2,1]=>[5,3,4,6,1,2,7]
[5,6,4,7,1,2,3]=>[5,4,6,1,7,3,2]
[5,6,4,7,1,3,2]=>[5,4,6,1,7,2,3]
[5,6,4,7,2,1,3]=>[5,4,6,1,2,7,3]
[5,6,4,7,2,3,1]=>[5,4,6,2,7,1,3]
[5,6,4,7,3,1,2]=>[5,4,6,1,3,7,2]
[5,6,4,7,3,2,1]=>[5,4,6,1,2,3,7]
[5,6,7,1,2,3,4]=>[6,5,1,7,4,3,2]
[5,6,7,1,2,4,3]=>[6,5,1,7,3,4,2]
[5,6,7,1,3,2,4]=>[6,5,1,7,4,2,3]
[5,6,7,1,3,4,2]=>[6,5,1,7,3,2,4]
[5,6,7,1,4,2,3]=>[6,5,1,7,2,4,3]
[5,6,7,1,4,3,2]=>[6,5,1,7,2,3,4]
[5,6,7,2,1,3,4]=>[6,5,1,2,7,4,3]
[5,6,7,2,1,4,3]=>[6,5,1,2,7,3,4]
[5,6,7,2,3,1,4]=>[6,5,2,7,4,1,3]
[5,6,7,2,3,4,1]=>[6,5,2,7,3,1,4]
[5,6,7,2,4,1,3]=>[6,5,2,7,1,4,3]
[5,6,7,2,4,3,1]=>[6,5,2,7,1,3,4]
[5,6,7,3,1,2,4]=>[6,5,1,3,7,4,2]
[5,6,7,3,1,4,2]=>[6,5,1,3,7,2,4]
[5,6,7,3,2,1,4]=>[6,5,1,2,3,7,4]
[5,6,7,3,2,4,1]=>[6,5,2,3,7,1,4]
[5,6,7,3,4,1,2]=>[6,5,3,7,1,4,2]
[5,6,7,3,4,2,1]=>[6,5,3,7,1,2,4]
[5,6,7,4,1,2,3]=>[6,5,1,4,7,3,2]
[5,6,7,4,1,3,2]=>[6,5,1,4,7,2,3]
[5,6,7,4,2,1,3]=>[6,5,1,2,4,7,3]
[5,6,7,4,2,3,1]=>[6,5,2,4,7,1,3]
[5,6,7,4,3,1,2]=>[6,5,1,3,4,7,2]
[5,6,7,4,3,2,1]=>[6,5,1,2,3,4,7]
[5,7,1,2,3,4,6]=>[5,1,7,6,4,3,2]
[5,7,1,2,3,6,4]=>[5,1,7,4,6,3,2]
[5,7,1,2,4,3,6]=>[5,1,7,6,3,4,2]
[5,7,1,2,4,6,3]=>[5,1,7,4,3,6,2]
[5,7,1,2,6,3,4]=>[5,1,7,3,6,4,2]
[5,7,1,2,6,4,3]=>[5,1,7,3,4,6,2]
[5,7,1,3,2,4,6]=>[5,1,7,6,4,2,3]
[5,7,1,3,2,6,4]=>[5,1,7,4,6,2,3]
[5,7,1,3,4,2,6]=>[5,1,7,6,3,2,4]
[5,7,1,3,4,6,2]=>[5,1,7,4,3,2,6]
[5,7,1,3,6,2,4]=>[5,1,7,3,2,6,4]
[5,7,1,3,6,4,2]=>[5,1,7,3,2,4,6]
[5,7,1,4,2,3,6]=>[5,1,7,6,2,4,3]
[5,7,1,4,2,6,3]=>[5,1,7,2,4,3,6]
[5,7,1,4,3,2,6]=>[5,1,7,6,2,3,4]
[5,7,1,4,3,6,2]=>[5,1,7,3,4,2,6]
[5,7,1,4,6,2,3]=>[5,1,7,4,2,6,3]
[5,7,1,4,6,3,2]=>[5,1,7,4,2,3,6]
[5,7,1,6,2,3,4]=>[5,1,7,2,6,4,3]
[5,7,1,6,2,4,3]=>[5,1,7,2,6,3,4]
[5,7,1,6,3,2,4]=>[5,1,7,2,3,6,4]
[5,7,1,6,3,4,2]=>[5,1,7,3,6,2,4]
[5,7,1,6,4,2,3]=>[5,1,7,2,4,6,3]
[5,7,1,6,4,3,2]=>[5,1,7,2,3,4,6]
[5,7,2,1,3,4,6]=>[5,1,2,7,6,4,3]
[5,7,2,1,3,6,4]=>[5,1,2,7,4,6,3]
[5,7,2,1,4,3,6]=>[5,1,2,7,6,3,4]
[5,7,2,1,4,6,3]=>[5,1,2,7,4,3,6]
[5,7,2,1,6,3,4]=>[5,1,2,7,3,6,4]
[5,7,2,1,6,4,3]=>[5,1,2,7,3,4,6]
[5,7,2,3,1,4,6]=>[5,2,7,6,4,1,3]
[5,7,2,3,1,6,4]=>[5,2,7,4,6,1,3]
[5,7,2,3,4,1,6]=>[5,2,7,6,3,1,4]
[5,7,2,3,4,6,1]=>[5,2,7,4,3,1,6]
[5,7,2,3,6,1,4]=>[5,2,7,3,1,6,4]
[5,7,2,3,6,4,1]=>[5,2,7,3,1,4,6]
[5,7,2,4,1,3,6]=>[5,2,7,6,1,4,3]
[5,7,2,4,1,6,3]=>[5,2,7,1,4,3,6]
[5,7,2,4,3,1,6]=>[5,2,7,6,1,3,4]
[5,7,2,4,3,6,1]=>[5,2,7,3,4,1,6]
[5,7,2,4,6,1,3]=>[5,2,7,4,1,6,3]
[5,7,2,4,6,3,1]=>[5,2,7,4,1,3,6]
[5,7,2,6,1,3,4]=>[5,2,7,1,6,4,3]
[5,7,2,6,1,4,3]=>[5,2,7,1,6,3,4]
[5,7,2,6,3,1,4]=>[5,2,7,1,3,6,4]
[5,7,2,6,3,4,1]=>[5,2,7,3,6,1,4]
[5,7,2,6,4,1,3]=>[5,2,7,1,4,6,3]
[5,7,2,6,4,3,1]=>[5,2,7,1,3,4,6]
[5,7,3,1,2,4,6]=>[5,1,3,7,6,4,2]
[5,7,3,1,2,6,4]=>[5,1,3,7,4,6,2]
[5,7,3,1,4,2,6]=>[5,1,3,7,6,2,4]
[5,7,3,1,4,6,2]=>[5,1,3,7,4,2,6]
[5,7,3,1,6,2,4]=>[5,1,3,7,2,6,4]
[5,7,3,1,6,4,2]=>[5,1,3,7,2,4,6]
[5,7,3,2,1,4,6]=>[5,1,2,3,7,6,4]
[5,7,3,2,1,6,4]=>[5,1,2,3,7,4,6]
[5,7,3,2,4,1,6]=>[5,2,3,7,6,1,4]
[5,7,3,2,4,6,1]=>[5,2,3,7,4,1,6]
[5,7,3,2,6,1,4]=>[5,2,3,7,1,6,4]
[5,7,3,2,6,4,1]=>[5,2,3,7,1,4,6]
[5,7,3,4,1,2,6]=>[5,3,7,6,1,4,2]
[5,7,3,4,1,6,2]=>[5,3,7,1,4,2,6]
[5,7,3,4,2,1,6]=>[5,3,7,6,1,2,4]
[5,7,3,4,2,6,1]=>[5,3,7,2,4,1,6]
[5,7,3,4,6,1,2]=>[5,3,7,4,1,6,2]
[5,7,3,4,6,2,1]=>[5,3,7,4,1,2,6]
[5,7,3,6,1,2,4]=>[5,3,7,1,6,4,2]
[5,7,3,6,1,4,2]=>[5,3,7,1,6,2,4]
[5,7,3,6,2,1,4]=>[5,3,7,1,2,6,4]
[5,7,3,6,2,4,1]=>[5,3,7,2,6,1,4]
[5,7,3,6,4,1,2]=>[5,3,7,1,4,6,2]
[5,7,3,6,4,2,1]=>[5,3,7,1,2,4,6]
[5,7,4,1,2,3,6]=>[5,1,4,7,6,3,2]
[5,7,4,1,2,6,3]=>[5,1,4,7,3,6,2]
[5,7,4,1,3,2,6]=>[5,1,4,7,6,2,3]
[5,7,4,1,3,6,2]=>[5,1,4,7,3,2,6]
[5,7,4,1,6,2,3]=>[5,1,4,7,2,6,3]
[5,7,4,1,6,3,2]=>[5,1,4,7,2,3,6]
[5,7,4,2,1,3,6]=>[5,1,2,4,7,6,3]
[5,7,4,2,1,6,3]=>[5,1,2,4,7,3,6]
[5,7,4,2,3,1,6]=>[5,2,4,7,6,1,3]
[5,7,4,2,3,6,1]=>[5,2,4,7,3,1,6]
[5,7,4,2,6,1,3]=>[5,2,4,7,1,6,3]
[5,7,4,2,6,3,1]=>[5,2,4,7,1,3,6]
[5,7,4,3,1,2,6]=>[5,1,3,4,7,6,2]
[5,7,4,3,1,6,2]=>[5,1,3,4,7,2,6]
[5,7,4,3,2,1,6]=>[5,1,2,3,4,7,6]
[5,7,4,3,2,6,1]=>[5,2,3,4,7,1,6]
[5,7,4,3,6,1,2]=>[5,3,4,7,1,6,2]
[5,7,4,3,6,2,1]=>[5,3,4,7,1,2,6]
[5,7,4,6,1,2,3]=>[5,4,7,1,6,3,2]
[5,7,4,6,1,3,2]=>[5,4,7,1,6,2,3]
[5,7,4,6,2,1,3]=>[5,4,7,1,2,6,3]
[5,7,4,6,2,3,1]=>[5,4,7,2,6,1,3]
[5,7,4,6,3,1,2]=>[5,4,7,1,3,6,2]
[5,7,4,6,3,2,1]=>[5,4,7,1,2,3,6]
[5,7,6,1,2,3,4]=>[5,1,6,7,4,3,2]
[5,7,6,1,2,4,3]=>[5,1,6,7,3,4,2]
[5,7,6,1,3,2,4]=>[5,1,6,7,4,2,3]
[5,7,6,1,3,4,2]=>[5,1,6,7,3,2,4]
[5,7,6,1,4,2,3]=>[5,1,6,7,2,4,3]
[5,7,6,1,4,3,2]=>[5,1,6,7,2,3,4]
[5,7,6,2,1,3,4]=>[5,1,2,6,7,4,3]
[5,7,6,2,1,4,3]=>[5,1,2,6,7,3,4]
[5,7,6,2,3,1,4]=>[5,2,6,7,4,1,3]
[5,7,6,2,3,4,1]=>[5,2,6,7,3,1,4]
[5,7,6,2,4,1,3]=>[5,2,6,7,1,4,3]
[5,7,6,2,4,3,1]=>[5,2,6,7,1,3,4]
[5,7,6,3,1,2,4]=>[5,1,3,6,7,4,2]
[5,7,6,3,1,4,2]=>[5,1,3,6,7,2,4]
[5,7,6,3,2,1,4]=>[5,1,2,3,6,7,4]
[5,7,6,3,2,4,1]=>[5,2,3,6,7,1,4]
[5,7,6,3,4,1,2]=>[5,3,6,7,1,4,2]
[5,7,6,3,4,2,1]=>[5,3,6,7,1,2,4]
[5,7,6,4,1,2,3]=>[5,1,4,6,7,3,2]
[5,7,6,4,1,3,2]=>[5,1,4,6,7,2,3]
[5,7,6,4,2,1,3]=>[5,1,2,4,6,7,3]
[5,7,6,4,2,3,1]=>[5,2,4,6,7,1,3]
[5,7,6,4,3,1,2]=>[5,1,3,4,6,7,2]
[5,7,6,4,3,2,1]=>[5,1,2,3,4,6,7]
[6,1,2,3,4,5,7]=>[7,1,6,5,4,3,2]
[6,1,2,3,4,7,5]=>[1,6,5,7,4,3,2]
[6,1,2,3,5,4,7]=>[7,1,6,4,5,3,2]
[6,1,2,3,5,7,4]=>[1,6,5,4,7,3,2]
[6,1,2,3,7,4,5]=>[1,6,4,7,5,3,2]
[6,1,2,3,7,5,4]=>[1,6,4,5,7,3,2]
[6,1,2,4,3,5,7]=>[7,1,6,5,3,4,2]
[6,1,2,4,3,7,5]=>[1,6,5,7,3,4,2]
[6,1,2,4,5,3,7]=>[7,1,6,4,3,5,2]
[6,1,2,4,5,7,3]=>[1,6,5,4,3,7,2]
[6,1,2,4,7,3,5]=>[1,6,4,3,7,5,2]
[6,1,2,4,7,5,3]=>[1,6,4,3,5,7,2]
[6,1,2,5,3,4,7]=>[7,1,6,3,5,4,2]
[6,1,2,5,3,7,4]=>[1,6,3,5,4,7,2]
[6,1,2,5,4,3,7]=>[7,1,6,3,4,5,2]
[6,1,2,5,4,7,3]=>[1,6,4,5,3,7,2]
[6,1,2,5,7,3,4]=>[1,6,5,3,7,4,2]
[6,1,2,5,7,4,3]=>[1,6,5,3,4,7,2]
[6,1,2,7,3,4,5]=>[1,6,3,7,5,4,2]
[6,1,2,7,3,5,4]=>[1,6,3,7,4,5,2]
[6,1,2,7,4,3,5]=>[1,6,3,4,7,5,2]
[6,1,2,7,4,5,3]=>[1,6,4,7,3,5,2]
[6,1,2,7,5,3,4]=>[1,6,3,5,7,4,2]
[6,1,2,7,5,4,3]=>[1,6,3,4,5,7,2]
[6,1,3,2,4,5,7]=>[7,1,6,5,4,2,3]
[6,1,3,2,4,7,5]=>[1,6,5,7,4,2,3]
[6,1,3,2,5,4,7]=>[7,1,6,4,5,2,3]
[6,1,3,2,5,7,4]=>[1,6,5,4,7,2,3]
[6,1,3,2,7,4,5]=>[1,6,4,7,5,2,3]
[6,1,3,2,7,5,4]=>[1,6,4,5,7,2,3]
[6,1,3,4,2,5,7]=>[7,1,6,5,3,2,4]
[6,1,3,4,2,7,5]=>[1,6,5,7,3,2,4]
[6,1,3,4,5,2,7]=>[7,1,6,4,3,2,5]
[6,1,3,4,5,7,2]=>[1,6,5,4,3,2,7]
[6,1,3,4,7,2,5]=>[1,6,4,3,2,7,5]
[6,1,3,4,7,5,2]=>[1,6,4,3,2,5,7]
[6,1,3,5,2,4,7]=>[7,1,6,3,2,5,4]
[6,1,3,5,2,7,4]=>[1,6,3,2,5,4,7]
[6,1,3,5,4,2,7]=>[7,1,6,3,2,4,5]
[6,1,3,5,4,7,2]=>[1,6,4,5,3,2,7]
[6,1,3,5,7,2,4]=>[1,6,5,3,2,7,4]
[6,1,3,5,7,4,2]=>[1,6,5,3,2,4,7]
[6,1,3,7,2,4,5]=>[1,6,3,2,7,5,4]
[6,1,3,7,2,5,4]=>[1,6,3,2,7,4,5]
[6,1,3,7,4,2,5]=>[1,6,3,2,4,7,5]
[6,1,3,7,4,5,2]=>[1,6,4,7,3,2,5]
[6,1,3,7,5,2,4]=>[1,6,3,2,5,7,4]
[6,1,3,7,5,4,2]=>[1,6,3,2,4,5,7]
[6,1,4,2,3,5,7]=>[7,1,6,5,2,4,3]
[6,1,4,2,3,7,5]=>[1,6,5,7,2,4,3]
[6,1,4,2,5,3,7]=>[7,1,6,2,4,3,5]
[6,1,4,2,5,7,3]=>[1,6,5,2,4,3,7]
[6,1,4,2,7,3,5]=>[1,6,2,4,3,7,5]
[6,1,4,2,7,5,3]=>[1,6,2,4,3,5,7]
[6,1,4,3,2,5,7]=>[7,1,6,5,2,3,4]
[6,1,4,3,2,7,5]=>[1,6,5,7,2,3,4]
[6,1,4,3,5,2,7]=>[7,1,6,3,4,2,5]
[6,1,4,3,5,7,2]=>[1,6,5,3,4,2,7]
[6,1,4,3,7,2,5]=>[1,6,3,4,2,7,5]
[6,1,4,3,7,5,2]=>[1,6,3,4,2,5,7]
[6,1,4,5,2,3,7]=>[7,1,6,4,2,5,3]
[6,1,4,5,2,7,3]=>[1,6,4,2,5,3,7]
[6,1,4,5,3,2,7]=>[7,1,6,4,2,3,5]
[6,1,4,5,3,7,2]=>[1,6,4,3,5,2,7]
[6,1,4,5,7,2,3]=>[1,6,5,4,2,7,3]
[6,1,4,5,7,3,2]=>[1,6,5,4,2,3,7]
[6,1,4,7,2,3,5]=>[1,6,4,2,7,5,3]
[6,1,4,7,2,5,3]=>[1,6,4,2,7,3,5]
[6,1,4,7,3,2,5]=>[1,6,4,2,3,7,5]
[6,1,4,7,3,5,2]=>[1,6,4,3,7,2,5]
[6,1,4,7,5,2,3]=>[1,6,4,2,5,7,3]
[6,1,4,7,5,3,2]=>[1,6,4,2,3,5,7]
[6,1,5,2,3,4,7]=>[7,1,6,2,5,4,3]
[6,1,5,2,3,7,4]=>[1,6,2,5,4,7,3]
[6,1,5,2,4,3,7]=>[7,1,6,2,5,3,4]
[6,1,5,2,4,7,3]=>[1,6,2,5,4,3,7]
[6,1,5,2,7,3,4]=>[1,6,2,5,3,7,4]
[6,1,5,2,7,4,3]=>[1,6,2,5,3,4,7]
[6,1,5,3,2,4,7]=>[7,1,6,2,3,5,4]
[6,1,5,3,2,7,4]=>[1,6,2,3,5,4,7]
[6,1,5,3,4,2,7]=>[7,1,6,3,5,2,4]
[6,1,5,3,4,7,2]=>[1,6,3,5,4,2,7]
[6,1,5,3,7,2,4]=>[1,6,3,5,2,7,4]
[6,1,5,3,7,4,2]=>[1,6,3,5,2,4,7]
[6,1,5,4,2,3,7]=>[7,1,6,2,4,5,3]
[6,1,5,4,2,7,3]=>[1,6,2,4,5,3,7]
[6,1,5,4,3,2,7]=>[7,1,6,2,3,4,5]
[6,1,5,4,3,7,2]=>[1,6,3,4,5,2,7]
[6,1,5,4,7,2,3]=>[1,6,4,5,2,7,3]
[6,1,5,4,7,3,2]=>[1,6,4,5,2,3,7]
[6,1,5,7,2,3,4]=>[1,6,5,2,7,4,3]
[6,1,5,7,2,4,3]=>[1,6,5,2,7,3,4]
[6,1,5,7,3,2,4]=>[1,6,5,2,3,7,4]
[6,1,5,7,3,4,2]=>[1,6,5,3,7,2,4]
[6,1,5,7,4,2,3]=>[1,6,5,2,4,7,3]
[6,1,5,7,4,3,2]=>[1,6,5,2,3,4,7]
[6,1,7,2,3,4,5]=>[1,6,2,7,5,4,3]
[6,1,7,2,3,5,4]=>[1,6,2,7,4,5,3]
[6,1,7,2,4,3,5]=>[1,6,2,7,5,3,4]
[6,1,7,2,4,5,3]=>[1,6,2,7,4,3,5]
[6,1,7,2,5,3,4]=>[1,6,2,7,3,5,4]
[6,1,7,2,5,4,3]=>[1,6,2,7,3,4,5]
[6,1,7,3,2,4,5]=>[1,6,2,3,7,5,4]
[6,1,7,3,2,5,4]=>[1,6,2,3,7,4,5]
[6,1,7,3,4,2,5]=>[1,6,3,7,5,2,4]
[6,1,7,3,4,5,2]=>[1,6,3,7,4,2,5]
[6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]
[6,1,7,3,5,4,2]=>[1,6,3,7,2,4,5]
[6,1,7,4,2,3,5]=>[1,6,2,4,7,5,3]
[6,1,7,4,2,5,3]=>[1,6,2,4,7,3,5]
[6,1,7,4,3,2,5]=>[1,6,2,3,4,7,5]
[6,1,7,4,3,5,2]=>[1,6,3,4,7,2,5]
[6,1,7,4,5,2,3]=>[1,6,4,7,2,5,3]
[6,1,7,4,5,3,2]=>[1,6,4,7,2,3,5]
[6,1,7,5,2,3,4]=>[1,6,2,5,7,4,3]
[6,1,7,5,2,4,3]=>[1,6,2,5,7,3,4]
[6,1,7,5,3,2,4]=>[1,6,2,3,5,7,4]
[6,1,7,5,3,4,2]=>[1,6,3,5,7,2,4]
[6,1,7,5,4,2,3]=>[1,6,2,4,5,7,3]
[6,1,7,5,4,3,2]=>[1,6,2,3,4,5,7]
[6,2,1,3,4,5,7]=>[7,1,2,6,5,4,3]
[6,2,1,3,4,7,5]=>[1,2,6,5,7,4,3]
[6,2,1,3,5,4,7]=>[7,1,2,6,4,5,3]
[6,2,1,3,5,7,4]=>[1,2,6,5,4,7,3]
[6,2,1,3,7,4,5]=>[1,2,6,4,7,5,3]
[6,2,1,3,7,5,4]=>[1,2,6,4,5,7,3]
[6,2,1,4,3,5,7]=>[7,1,2,6,5,3,4]
[6,2,1,4,3,7,5]=>[1,2,6,5,7,3,4]
[6,2,1,4,5,3,7]=>[7,1,2,6,4,3,5]
[6,2,1,4,5,7,3]=>[1,2,6,5,4,3,7]
[6,2,1,4,7,3,5]=>[1,2,6,4,3,7,5]
[6,2,1,4,7,5,3]=>[1,2,6,4,3,5,7]
[6,2,1,5,3,4,7]=>[7,1,2,6,3,5,4]
[6,2,1,5,3,7,4]=>[1,2,6,3,5,4,7]
[6,2,1,5,4,3,7]=>[7,1,2,6,3,4,5]
[6,2,1,5,4,7,3]=>[1,2,6,4,5,3,7]
[6,2,1,5,7,3,4]=>[1,2,6,5,3,7,4]
[6,2,1,5,7,4,3]=>[1,2,6,5,3,4,7]
[6,2,1,7,3,4,5]=>[1,2,6,3,7,5,4]
[6,2,1,7,3,5,4]=>[1,2,6,3,7,4,5]
[6,2,1,7,4,3,5]=>[1,2,6,3,4,7,5]
[6,2,1,7,4,5,3]=>[1,2,6,4,7,3,5]
[6,2,1,7,5,3,4]=>[1,2,6,3,5,7,4]
[6,2,1,7,5,4,3]=>[1,2,6,3,4,5,7]
[6,2,3,1,4,5,7]=>[7,2,6,5,4,1,3]
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]
[6,2,3,1,5,4,7]=>[7,2,6,4,5,1,3]
[6,2,3,1,5,7,4]=>[2,6,5,4,7,1,3]
[6,2,3,1,7,4,5]=>[2,6,4,7,5,1,3]
[6,2,3,1,7,5,4]=>[2,6,4,5,7,1,3]
[6,2,3,4,1,5,7]=>[7,2,6,5,3,1,4]
[6,2,3,4,1,7,5]=>[2,6,5,7,3,1,4]
[6,2,3,4,5,1,7]=>[7,2,6,4,3,1,5]
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]
[6,2,3,4,7,1,5]=>[2,6,4,3,1,7,5]
[6,2,3,4,7,5,1]=>[2,6,4,3,1,5,7]
[6,2,3,5,1,4,7]=>[7,2,6,3,1,5,4]
[6,2,3,5,1,7,4]=>[2,6,3,1,5,4,7]
[6,2,3,5,4,1,7]=>[7,2,6,3,1,4,5]
[6,2,3,5,4,7,1]=>[2,6,4,5,3,1,7]
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]
[6,2,3,7,1,4,5]=>[2,6,3,1,7,5,4]
[6,2,3,7,1,5,4]=>[2,6,3,1,7,4,5]
[6,2,3,7,4,1,5]=>[2,6,3,1,4,7,5]
[6,2,3,7,4,5,1]=>[2,6,4,7,3,1,5]
[6,2,3,7,5,1,4]=>[2,6,3,1,5,7,4]
[6,2,3,7,5,4,1]=>[2,6,3,1,4,5,7]
[6,2,4,1,3,5,7]=>[7,2,6,5,1,4,3]
[6,2,4,1,3,7,5]=>[2,6,5,7,1,4,3]
[6,2,4,1,5,3,7]=>[7,2,6,1,4,3,5]
[6,2,4,1,5,7,3]=>[2,6,5,1,4,3,7]
[6,2,4,1,7,3,5]=>[2,6,1,4,3,7,5]
[6,2,4,1,7,5,3]=>[2,6,1,4,3,5,7]
[6,2,4,3,1,5,7]=>[7,2,6,5,1,3,4]
[6,2,4,3,1,7,5]=>[2,6,5,7,1,3,4]
[6,2,4,3,5,1,7]=>[7,2,6,3,4,1,5]
[6,2,4,3,5,7,1]=>[2,6,5,3,4,1,7]
[6,2,4,3,7,1,5]=>[2,6,3,4,1,7,5]
[6,2,4,3,7,5,1]=>[2,6,3,4,1,5,7]
[6,2,4,5,1,3,7]=>[7,2,6,4,1,5,3]
[6,2,4,5,1,7,3]=>[2,6,4,1,5,3,7]
[6,2,4,5,3,1,7]=>[7,2,6,4,1,3,5]
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]
[6,2,4,5,7,1,3]=>[2,6,5,4,1,7,3]
[6,2,4,5,7,3,1]=>[2,6,5,4,1,3,7]
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]
[6,2,4,7,3,1,5]=>[2,6,4,1,3,7,5]
[6,2,4,7,3,5,1]=>[2,6,4,3,7,1,5]
[6,2,4,7,5,1,3]=>[2,6,4,1,5,7,3]
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]
[6,2,5,1,3,4,7]=>[7,2,6,1,5,4,3]
[6,2,5,1,3,7,4]=>[2,6,1,5,4,7,3]
[6,2,5,1,4,3,7]=>[7,2,6,1,5,3,4]
[6,2,5,1,4,7,3]=>[2,6,1,5,4,3,7]
[6,2,5,1,7,3,4]=>[2,6,1,5,3,7,4]
[6,2,5,1,7,4,3]=>[2,6,1,5,3,4,7]
[6,2,5,3,1,4,7]=>[7,2,6,1,3,5,4]
[6,2,5,3,1,7,4]=>[2,6,1,3,5,4,7]
[6,2,5,3,4,1,7]=>[7,2,6,3,5,1,4]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]
[6,2,5,4,1,3,7]=>[7,2,6,1,4,5,3]
[6,2,5,4,1,7,3]=>[2,6,1,4,5,3,7]
[6,2,5,4,3,1,7]=>[7,2,6,1,3,4,5]
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]
[6,2,5,4,7,1,3]=>[2,6,4,5,1,7,3]
[6,2,5,4,7,3,1]=>[2,6,4,5,1,3,7]
[6,2,5,7,1,3,4]=>[2,6,5,1,7,4,3]
[6,2,5,7,1,4,3]=>[2,6,5,1,7,3,4]
[6,2,5,7,3,1,4]=>[2,6,5,1,3,7,4]
[6,2,5,7,3,4,1]=>[2,6,5,3,7,1,4]
[6,2,5,7,4,1,3]=>[2,6,5,1,4,7,3]
[6,2,5,7,4,3,1]=>[2,6,5,1,3,4,7]
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]
[6,2,7,1,3,5,4]=>[2,6,1,7,4,5,3]
[6,2,7,1,4,3,5]=>[2,6,1,7,5,3,4]
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]
[6,2,7,3,1,4,5]=>[2,6,1,3,7,5,4]
[6,2,7,3,1,5,4]=>[2,6,1,3,7,4,5]
[6,2,7,3,4,1,5]=>[2,6,3,7,5,1,4]
[6,2,7,3,4,5,1]=>[2,6,3,7,4,1,5]
[6,2,7,3,5,1,4]=>[2,6,3,7,1,5,4]
[6,2,7,3,5,4,1]=>[2,6,3,7,1,4,5]
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]
[6,2,7,4,3,1,5]=>[2,6,1,3,4,7,5]
[6,2,7,4,3,5,1]=>[2,6,3,4,7,1,5]
[6,2,7,4,5,1,3]=>[2,6,4,7,1,5,3]
[6,2,7,4,5,3,1]=>[2,6,4,7,1,3,5]
[6,2,7,5,1,3,4]=>[2,6,1,5,7,4,3]
[6,2,7,5,1,4,3]=>[2,6,1,5,7,3,4]
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]
[6,2,7,5,3,4,1]=>[2,6,3,5,7,1,4]
[6,2,7,5,4,1,3]=>[2,6,1,4,5,7,3]
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]
[6,3,1,2,4,5,7]=>[7,1,3,6,5,4,2]
[6,3,1,2,4,7,5]=>[1,3,6,5,7,4,2]
[6,3,1,2,5,4,7]=>[7,1,3,6,4,5,2]
[6,3,1,2,5,7,4]=>[1,3,6,5,4,7,2]
[6,3,1,2,7,4,5]=>[1,3,6,4,7,5,2]
[6,3,1,2,7,5,4]=>[1,3,6,4,5,7,2]
[6,3,1,4,2,5,7]=>[7,1,3,6,5,2,4]
[6,3,1,4,2,7,5]=>[1,3,6,5,7,2,4]
[6,3,1,4,5,2,7]=>[7,1,3,6,4,2,5]
[6,3,1,4,5,7,2]=>[1,3,6,5,4,2,7]
[6,3,1,4,7,2,5]=>[1,3,6,4,2,7,5]
[6,3,1,4,7,5,2]=>[1,3,6,4,2,5,7]
[6,3,1,5,2,4,7]=>[7,1,3,6,2,5,4]
[6,3,1,5,2,7,4]=>[1,3,6,2,5,4,7]
[6,3,1,5,4,2,7]=>[7,1,3,6,2,4,5]
[6,3,1,5,4,7,2]=>[1,3,6,4,5,2,7]
[6,3,1,5,7,2,4]=>[1,3,6,5,2,7,4]
[6,3,1,5,7,4,2]=>[1,3,6,5,2,4,7]
[6,3,1,7,2,4,5]=>[1,3,6,2,7,5,4]
[6,3,1,7,2,5,4]=>[1,3,6,2,7,4,5]
[6,3,1,7,4,2,5]=>[1,3,6,2,4,7,5]
[6,3,1,7,4,5,2]=>[1,3,6,4,7,2,5]
[6,3,1,7,5,2,4]=>[1,3,6,2,5,7,4]
[6,3,1,7,5,4,2]=>[1,3,6,2,4,5,7]
[6,3,2,1,4,5,7]=>[7,1,2,3,6,5,4]
[6,3,2,1,4,7,5]=>[1,2,3,6,5,7,4]
[6,3,2,1,5,4,7]=>[7,1,2,3,6,4,5]
[6,3,2,1,5,7,4]=>[1,2,3,6,5,4,7]
[6,3,2,1,7,4,5]=>[1,2,3,6,4,7,5]
[6,3,2,1,7,5,4]=>[1,2,3,6,4,5,7]
[6,3,2,4,1,5,7]=>[7,2,3,6,5,1,4]
[6,3,2,4,1,7,5]=>[2,3,6,5,7,1,4]
[6,3,2,4,5,1,7]=>[7,2,3,6,4,1,5]
[6,3,2,4,5,7,1]=>[2,3,6,5,4,1,7]
[6,3,2,4,7,1,5]=>[2,3,6,4,1,7,5]
[6,3,2,4,7,5,1]=>[2,3,6,4,1,5,7]
[6,3,2,5,1,4,7]=>[7,2,3,6,1,5,4]
[6,3,2,5,1,7,4]=>[2,3,6,1,5,4,7]
[6,3,2,5,4,1,7]=>[7,2,3,6,1,4,5]
[6,3,2,5,4,7,1]=>[2,3,6,4,5,1,7]
[6,3,2,5,7,1,4]=>[2,3,6,5,1,7,4]
[6,3,2,5,7,4,1]=>[2,3,6,5,1,4,7]
[6,3,2,7,1,4,5]=>[2,3,6,1,7,5,4]
[6,3,2,7,1,5,4]=>[2,3,6,1,7,4,5]
[6,3,2,7,4,1,5]=>[2,3,6,1,4,7,5]
[6,3,2,7,4,5,1]=>[2,3,6,4,7,1,5]
[6,3,2,7,5,1,4]=>[2,3,6,1,5,7,4]
[6,3,2,7,5,4,1]=>[2,3,6,1,4,5,7]
[6,3,4,1,2,5,7]=>[7,3,6,5,1,4,2]
[6,3,4,1,2,7,5]=>[3,6,5,7,1,4,2]
[6,3,4,1,5,2,7]=>[7,3,6,1,4,2,5]
[6,3,4,1,5,7,2]=>[3,6,5,1,4,2,7]
[6,3,4,1,7,2,5]=>[3,6,1,4,2,7,5]
[6,3,4,1,7,5,2]=>[3,6,1,4,2,5,7]
[6,3,4,2,1,5,7]=>[7,3,6,5,1,2,4]
[6,3,4,2,1,7,5]=>[3,6,5,7,1,2,4]
[6,3,4,2,5,1,7]=>[7,3,6,2,4,1,5]
[6,3,4,2,5,7,1]=>[3,6,5,2,4,1,7]
[6,3,4,2,7,1,5]=>[3,6,2,4,1,7,5]
[6,3,4,2,7,5,1]=>[3,6,2,4,1,5,7]
[6,3,4,5,1,2,7]=>[7,3,6,4,1,5,2]
[6,3,4,5,1,7,2]=>[3,6,4,1,5,2,7]
[6,3,4,5,2,1,7]=>[7,3,6,4,1,2,5]
[6,3,4,5,2,7,1]=>[3,6,4,2,5,1,7]
[6,3,4,5,7,1,2]=>[3,6,5,4,1,7,2]
[6,3,4,5,7,2,1]=>[3,6,5,4,1,2,7]
[6,3,4,7,1,2,5]=>[3,6,4,1,7,5,2]
[6,3,4,7,1,5,2]=>[3,6,4,1,7,2,5]
[6,3,4,7,2,1,5]=>[3,6,4,1,2,7,5]
[6,3,4,7,2,5,1]=>[3,6,4,2,7,1,5]
[6,3,4,7,5,1,2]=>[3,6,4,1,5,7,2]
[6,3,4,7,5,2,1]=>[3,6,4,1,2,5,7]
[6,3,5,1,2,4,7]=>[7,3,6,1,5,4,2]
[6,3,5,1,2,7,4]=>[3,6,1,5,4,7,2]
[6,3,5,1,4,2,7]=>[7,3,6,1,5,2,4]
[6,3,5,1,4,7,2]=>[3,6,1,5,4,2,7]
[6,3,5,1,7,2,4]=>[3,6,1,5,2,7,4]
[6,3,5,1,7,4,2]=>[3,6,1,5,2,4,7]
[6,3,5,2,1,4,7]=>[7,3,6,1,2,5,4]
[6,3,5,2,1,7,4]=>[3,6,1,2,5,4,7]
[6,3,5,2,4,1,7]=>[7,3,6,2,5,1,4]
[6,3,5,2,4,7,1]=>[3,6,2,5,4,1,7]
[6,3,5,2,7,1,4]=>[3,6,2,5,1,7,4]
[6,3,5,2,7,4,1]=>[3,6,2,5,1,4,7]
[6,3,5,4,1,2,7]=>[7,3,6,1,4,5,2]
[6,3,5,4,1,7,2]=>[3,6,1,4,5,2,7]
[6,3,5,4,2,1,7]=>[7,3,6,1,2,4,5]
[6,3,5,4,2,7,1]=>[3,6,2,4,5,1,7]
[6,3,5,4,7,1,2]=>[3,6,4,5,1,7,2]
[6,3,5,4,7,2,1]=>[3,6,4,5,1,2,7]
[6,3,5,7,1,2,4]=>[3,6,5,1,7,4,2]
[6,3,5,7,1,4,2]=>[3,6,5,1,7,2,4]
[6,3,5,7,2,1,4]=>[3,6,5,1,2,7,4]
[6,3,5,7,2,4,1]=>[3,6,5,2,7,1,4]
[6,3,5,7,4,1,2]=>[3,6,5,1,4,7,2]
[6,3,5,7,4,2,1]=>[3,6,5,1,2,4,7]
[6,3,7,1,2,4,5]=>[3,6,1,7,5,4,2]
[6,3,7,1,2,5,4]=>[3,6,1,7,4,5,2]
[6,3,7,1,4,2,5]=>[3,6,1,7,5,2,4]
[6,3,7,1,4,5,2]=>[3,6,1,7,4,2,5]
[6,3,7,1,5,2,4]=>[3,6,1,7,2,5,4]
[6,3,7,1,5,4,2]=>[3,6,1,7,2,4,5]
[6,3,7,2,1,4,5]=>[3,6,1,2,7,5,4]
[6,3,7,2,1,5,4]=>[3,6,1,2,7,4,5]
[6,3,7,2,4,1,5]=>[3,6,2,7,5,1,4]
[6,3,7,2,4,5,1]=>[3,6,2,7,4,1,5]
[6,3,7,2,5,1,4]=>[3,6,2,7,1,5,4]
[6,3,7,2,5,4,1]=>[3,6,2,7,1,4,5]
[6,3,7,4,1,2,5]=>[3,6,1,4,7,5,2]
[6,3,7,4,1,5,2]=>[3,6,1,4,7,2,5]
[6,3,7,4,2,1,5]=>[3,6,1,2,4,7,5]
[6,3,7,4,2,5,1]=>[3,6,2,4,7,1,5]
[6,3,7,4,5,1,2]=>[3,6,4,7,1,5,2]
[6,3,7,4,5,2,1]=>[3,6,4,7,1,2,5]
[6,3,7,5,1,2,4]=>[3,6,1,5,7,4,2]
[6,3,7,5,1,4,2]=>[3,6,1,5,7,2,4]
[6,3,7,5,2,1,4]=>[3,6,1,2,5,7,4]
[6,3,7,5,2,4,1]=>[3,6,2,5,7,1,4]
[6,3,7,5,4,1,2]=>[3,6,1,4,5,7,2]
[6,3,7,5,4,2,1]=>[3,6,1,2,4,5,7]
[6,4,1,2,3,5,7]=>[7,1,4,6,5,3,2]
[6,4,1,2,3,7,5]=>[1,4,6,5,7,3,2]
[6,4,1,2,5,3,7]=>[7,1,4,6,3,5,2]
[6,4,1,2,5,7,3]=>[1,4,6,5,3,7,2]
[6,4,1,2,7,3,5]=>[1,4,6,3,7,5,2]
[6,4,1,2,7,5,3]=>[1,4,6,3,5,7,2]
[6,4,1,3,2,5,7]=>[7,1,4,6,5,2,3]
[6,4,1,3,2,7,5]=>[1,4,6,5,7,2,3]
[6,4,1,3,5,2,7]=>[7,1,4,6,3,2,5]
[6,4,1,3,5,7,2]=>[1,4,6,5,3,2,7]
[6,4,1,3,7,2,5]=>[1,4,6,3,2,7,5]
[6,4,1,3,7,5,2]=>[1,4,6,3,2,5,7]
[6,4,1,5,2,3,7]=>[7,1,4,6,2,5,3]
[6,4,1,5,2,7,3]=>[1,4,6,2,5,3,7]
[6,4,1,5,3,2,7]=>[7,1,4,6,2,3,5]
[6,4,1,5,3,7,2]=>[1,4,6,3,5,2,7]
[6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]
[6,4,1,5,7,3,2]=>[1,4,6,5,2,3,7]
[6,4,1,7,2,3,5]=>[1,4,6,2,7,5,3]
[6,4,1,7,2,5,3]=>[1,4,6,2,7,3,5]
[6,4,1,7,3,2,5]=>[1,4,6,2,3,7,5]
[6,4,1,7,3,5,2]=>[1,4,6,3,7,2,5]
[6,4,1,7,5,2,3]=>[1,4,6,2,5,7,3]
[6,4,1,7,5,3,2]=>[1,4,6,2,3,5,7]
[6,4,2,1,3,5,7]=>[7,1,2,4,6,5,3]
[6,4,2,1,3,7,5]=>[1,2,4,6,5,7,3]
[6,4,2,1,5,3,7]=>[7,1,2,4,6,3,5]
[6,4,2,1,5,7,3]=>[1,2,4,6,5,3,7]
[6,4,2,1,7,3,5]=>[1,2,4,6,3,7,5]
[6,4,2,1,7,5,3]=>[1,2,4,6,3,5,7]
[6,4,2,3,1,5,7]=>[7,2,4,6,5,1,3]
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]
[6,4,2,3,5,1,7]=>[7,2,4,6,3,1,5]
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]
[6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]
[6,4,2,3,7,5,1]=>[2,4,6,3,1,5,7]
[6,4,2,5,1,3,7]=>[7,2,4,6,1,5,3]
[6,4,2,5,1,7,3]=>[2,4,6,1,5,3,7]
[6,4,2,5,3,1,7]=>[7,2,4,6,1,3,5]
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]
[6,4,2,5,7,1,3]=>[2,4,6,5,1,7,3]
[6,4,2,5,7,3,1]=>[2,4,6,5,1,3,7]
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]
[6,4,2,7,3,1,5]=>[2,4,6,1,3,7,5]
[6,4,2,7,3,5,1]=>[2,4,6,3,7,1,5]
[6,4,2,7,5,1,3]=>[2,4,6,1,5,7,3]
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]
[6,4,3,1,2,5,7]=>[7,1,3,4,6,5,2]
[6,4,3,1,2,7,5]=>[1,3,4,6,5,7,2]
[6,4,3,1,5,2,7]=>[7,1,3,4,6,2,5]
[6,4,3,1,5,7,2]=>[1,3,4,6,5,2,7]
[6,4,3,1,7,2,5]=>[1,3,4,6,2,7,5]
[6,4,3,1,7,5,2]=>[1,3,4,6,2,5,7]
[6,4,3,2,1,5,7]=>[7,1,2,3,4,6,5]
[6,4,3,2,1,7,5]=>[1,2,3,4,6,5,7]
[6,4,3,2,5,1,7]=>[7,2,3,4,6,1,5]
[6,4,3,2,5,7,1]=>[2,3,4,6,5,1,7]
[6,4,3,2,7,1,5]=>[2,3,4,6,1,7,5]
[6,4,3,2,7,5,1]=>[2,3,4,6,1,5,7]
[6,4,3,5,1,2,7]=>[7,3,4,6,1,5,2]
[6,4,3,5,1,7,2]=>[3,4,6,1,5,2,7]
[6,4,3,5,2,1,7]=>[7,3,4,6,1,2,5]
[6,4,3,5,2,7,1]=>[3,4,6,2,5,1,7]
[6,4,3,5,7,1,2]=>[3,4,6,5,1,7,2]
[6,4,3,5,7,2,1]=>[3,4,6,5,1,2,7]
[6,4,3,7,1,2,5]=>[3,4,6,1,7,5,2]
[6,4,3,7,1,5,2]=>[3,4,6,1,7,2,5]
[6,4,3,7,2,1,5]=>[3,4,6,1,2,7,5]
[6,4,3,7,2,5,1]=>[3,4,6,2,7,1,5]
[6,4,3,7,5,1,2]=>[3,4,6,1,5,7,2]
[6,4,3,7,5,2,1]=>[3,4,6,1,2,5,7]
[6,4,5,1,2,3,7]=>[7,4,6,1,5,3,2]
[6,4,5,1,2,7,3]=>[4,6,1,5,3,7,2]
[6,4,5,1,3,2,7]=>[7,4,6,1,5,2,3]
[6,4,5,1,3,7,2]=>[4,6,1,5,3,2,7]
[6,4,5,1,7,2,3]=>[4,6,1,5,2,7,3]
[6,4,5,1,7,3,2]=>[4,6,1,5,2,3,7]
[6,4,5,2,1,3,7]=>[7,4,6,1,2,5,3]
[6,4,5,2,1,7,3]=>[4,6,1,2,5,3,7]
[6,4,5,2,3,1,7]=>[7,4,6,2,5,1,3]
[6,4,5,2,3,7,1]=>[4,6,2,5,3,1,7]
[6,4,5,2,7,1,3]=>[4,6,2,5,1,7,3]
[6,4,5,2,7,3,1]=>[4,6,2,5,1,3,7]
[6,4,5,3,1,2,7]=>[7,4,6,1,3,5,2]
[6,4,5,3,1,7,2]=>[4,6,1,3,5,2,7]
[6,4,5,3,2,1,7]=>[7,4,6,1,2,3,5]
[6,4,5,3,2,7,1]=>[4,6,2,3,5,1,7]
[6,4,5,3,7,1,2]=>[4,6,3,5,1,7,2]
[6,4,5,3,7,2,1]=>[4,6,3,5,1,2,7]
[6,4,5,7,1,2,3]=>[4,6,5,1,7,3,2]
[6,4,5,7,1,3,2]=>[4,6,5,1,7,2,3]
[6,4,5,7,2,1,3]=>[4,6,5,1,2,7,3]
[6,4,5,7,2,3,1]=>[4,6,5,2,7,1,3]
[6,4,5,7,3,1,2]=>[4,6,5,1,3,7,2]
[6,4,5,7,3,2,1]=>[4,6,5,1,2,3,7]
[6,4,7,1,2,3,5]=>[4,6,1,7,5,3,2]
[6,4,7,1,2,5,3]=>[4,6,1,7,3,5,2]
[6,4,7,1,3,2,5]=>[4,6,1,7,5,2,3]
[6,4,7,1,3,5,2]=>[4,6,1,7,3,2,5]
[6,4,7,1,5,2,3]=>[4,6,1,7,2,5,3]
[6,4,7,1,5,3,2]=>[4,6,1,7,2,3,5]
[6,4,7,2,1,3,5]=>[4,6,1,2,7,5,3]
[6,4,7,2,1,5,3]=>[4,6,1,2,7,3,5]
[6,4,7,2,3,1,5]=>[4,6,2,7,5,1,3]
[6,4,7,2,3,5,1]=>[4,6,2,7,3,1,5]
[6,4,7,2,5,1,3]=>[4,6,2,7,1,5,3]
[6,4,7,2,5,3,1]=>[4,6,2,7,1,3,5]
[6,4,7,3,1,2,5]=>[4,6,1,3,7,5,2]
[6,4,7,3,1,5,2]=>[4,6,1,3,7,2,5]
[6,4,7,3,2,1,5]=>[4,6,1,2,3,7,5]
[6,4,7,3,2,5,1]=>[4,6,2,3,7,1,5]
[6,4,7,3,5,1,2]=>[4,6,3,7,1,5,2]
[6,4,7,3,5,2,1]=>[4,6,3,7,1,2,5]
[6,4,7,5,1,2,3]=>[4,6,1,5,7,3,2]
[6,4,7,5,1,3,2]=>[4,6,1,5,7,2,3]
[6,4,7,5,2,1,3]=>[4,6,1,2,5,7,3]
[6,4,7,5,2,3,1]=>[4,6,2,5,7,1,3]
[6,4,7,5,3,1,2]=>[4,6,1,3,5,7,2]
[6,4,7,5,3,2,1]=>[4,6,1,2,3,5,7]
[6,5,1,2,3,4,7]=>[7,1,5,6,4,3,2]
[6,5,1,2,3,7,4]=>[1,5,6,4,7,3,2]
[6,5,1,2,4,3,7]=>[7,1,5,6,3,4,2]
[6,5,1,2,4,7,3]=>[1,5,6,4,3,7,2]
[6,5,1,2,7,3,4]=>[1,5,6,3,7,4,2]
[6,5,1,2,7,4,3]=>[1,5,6,3,4,7,2]
[6,5,1,3,2,4,7]=>[7,1,5,6,4,2,3]
[6,5,1,3,2,7,4]=>[1,5,6,4,7,2,3]
[6,5,1,3,4,2,7]=>[7,1,5,6,3,2,4]
[6,5,1,3,4,7,2]=>[1,5,6,4,3,2,7]
[6,5,1,3,7,2,4]=>[1,5,6,3,2,7,4]
[6,5,1,3,7,4,2]=>[1,5,6,3,2,4,7]
[6,5,1,4,2,3,7]=>[7,1,5,6,2,4,3]
[6,5,1,4,2,7,3]=>[1,5,6,2,4,3,7]
[6,5,1,4,3,2,7]=>[7,1,5,6,2,3,4]
[6,5,1,4,3,7,2]=>[1,5,6,3,4,2,7]
[6,5,1,4,7,2,3]=>[1,5,6,4,2,7,3]
[6,5,1,4,7,3,2]=>[1,5,6,4,2,3,7]
[6,5,1,7,2,3,4]=>[1,5,6,2,7,4,3]
[6,5,1,7,2,4,3]=>[1,5,6,2,7,3,4]
[6,5,1,7,3,2,4]=>[1,5,6,2,3,7,4]
[6,5,1,7,3,4,2]=>[1,5,6,3,7,2,4]
[6,5,1,7,4,2,3]=>[1,5,6,2,4,7,3]
[6,5,1,7,4,3,2]=>[1,5,6,2,3,4,7]
[6,5,2,1,3,4,7]=>[7,1,2,5,6,4,3]
[6,5,2,1,3,7,4]=>[1,2,5,6,4,7,3]
[6,5,2,1,4,3,7]=>[7,1,2,5,6,3,4]
[6,5,2,1,4,7,3]=>[1,2,5,6,4,3,7]
[6,5,2,1,7,3,4]=>[1,2,5,6,3,7,4]
[6,5,2,1,7,4,3]=>[1,2,5,6,3,4,7]
[6,5,2,3,1,4,7]=>[7,2,5,6,4,1,3]
[6,5,2,3,1,7,4]=>[2,5,6,4,7,1,3]
[6,5,2,3,4,1,7]=>[7,2,5,6,3,1,4]
[6,5,2,3,4,7,1]=>[2,5,6,4,3,1,7]
[6,5,2,3,7,1,4]=>[2,5,6,3,1,7,4]
[6,5,2,3,7,4,1]=>[2,5,6,3,1,4,7]
[6,5,2,4,1,3,7]=>[7,2,5,6,1,4,3]
[6,5,2,4,1,7,3]=>[2,5,6,1,4,3,7]
[6,5,2,4,3,1,7]=>[7,2,5,6,1,3,4]
[6,5,2,4,3,7,1]=>[2,5,6,3,4,1,7]
[6,5,2,4,7,1,3]=>[2,5,6,4,1,7,3]
[6,5,2,4,7,3,1]=>[2,5,6,4,1,3,7]
[6,5,2,7,1,3,4]=>[2,5,6,1,7,4,3]
[6,5,2,7,1,4,3]=>[2,5,6,1,7,3,4]
[6,5,2,7,3,1,4]=>[2,5,6,1,3,7,4]
[6,5,2,7,3,4,1]=>[2,5,6,3,7,1,4]
[6,5,2,7,4,1,3]=>[2,5,6,1,4,7,3]
[6,5,2,7,4,3,1]=>[2,5,6,1,3,4,7]
[6,5,3,1,2,4,7]=>[7,1,3,5,6,4,2]
[6,5,3,1,2,7,4]=>[1,3,5,6,4,7,2]
[6,5,3,1,4,2,7]=>[7,1,3,5,6,2,4]
[6,5,3,1,4,7,2]=>[1,3,5,6,4,2,7]
[6,5,3,1,7,2,4]=>[1,3,5,6,2,7,4]
[6,5,3,1,7,4,2]=>[1,3,5,6,2,4,7]
[6,5,3,2,1,4,7]=>[7,1,2,3,5,6,4]
[6,5,3,2,1,7,4]=>[1,2,3,5,6,4,7]
[6,5,3,2,4,1,7]=>[7,2,3,5,6,1,4]
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]
[6,5,3,4,1,2,7]=>[7,3,5,6,1,4,2]
[6,5,3,4,1,7,2]=>[3,5,6,1,4,2,7]
[6,5,3,4,2,1,7]=>[7,3,5,6,1,2,4]
[6,5,3,4,2,7,1]=>[3,5,6,2,4,1,7]
[6,5,3,4,7,1,2]=>[3,5,6,4,1,7,2]
[6,5,3,4,7,2,1]=>[3,5,6,4,1,2,7]
[6,5,3,7,1,2,4]=>[3,5,6,1,7,4,2]
[6,5,3,7,1,4,2]=>[3,5,6,1,7,2,4]
[6,5,3,7,2,1,4]=>[3,5,6,1,2,7,4]
[6,5,3,7,2,4,1]=>[3,5,6,2,7,1,4]
[6,5,3,7,4,1,2]=>[3,5,6,1,4,7,2]
[6,5,3,7,4,2,1]=>[3,5,6,1,2,4,7]
[6,5,4,1,2,3,7]=>[7,1,4,5,6,3,2]
[6,5,4,1,2,7,3]=>[1,4,5,6,3,7,2]
[6,5,4,1,3,2,7]=>[7,1,4,5,6,2,3]
[6,5,4,1,3,7,2]=>[1,4,5,6,3,2,7]
[6,5,4,1,7,2,3]=>[1,4,5,6,2,7,3]
[6,5,4,1,7,3,2]=>[1,4,5,6,2,3,7]
[6,5,4,2,1,3,7]=>[7,1,2,4,5,6,3]
[6,5,4,2,1,7,3]=>[1,2,4,5,6,3,7]
[6,5,4,2,3,1,7]=>[7,2,4,5,6,1,3]
[6,5,4,2,3,7,1]=>[2,4,5,6,3,1,7]
[6,5,4,2,7,1,3]=>[2,4,5,6,1,7,3]
[6,5,4,2,7,3,1]=>[2,4,5,6,1,3,7]
[6,5,4,3,1,2,7]=>[7,1,3,4,5,6,2]
[6,5,4,3,1,7,2]=>[1,3,4,5,6,2,7]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]
[6,5,4,3,7,1,2]=>[3,4,5,6,1,7,2]
[6,5,4,3,7,2,1]=>[3,4,5,6,1,2,7]
[6,5,4,7,1,2,3]=>[4,5,6,1,7,3,2]
[6,5,4,7,1,3,2]=>[4,5,6,1,7,2,3]
[6,5,4,7,2,1,3]=>[4,5,6,1,2,7,3]
[6,5,4,7,2,3,1]=>[4,5,6,2,7,1,3]
[6,5,4,7,3,1,2]=>[4,5,6,1,3,7,2]
[6,5,4,7,3,2,1]=>[4,5,6,1,2,3,7]
[6,5,7,1,2,3,4]=>[5,6,1,7,4,3,2]
[6,5,7,1,2,4,3]=>[5,6,1,7,3,4,2]
[6,5,7,1,3,2,4]=>[5,6,1,7,4,2,3]
[6,5,7,1,3,4,2]=>[5,6,1,7,3,2,4]
[6,5,7,1,4,2,3]=>[5,6,1,7,2,4,3]
[6,5,7,1,4,3,2]=>[5,6,1,7,2,3,4]
[6,5,7,2,1,3,4]=>[5,6,1,2,7,4,3]
[6,5,7,2,1,4,3]=>[5,6,1,2,7,3,4]
[6,5,7,2,3,1,4]=>[5,6,2,7,4,1,3]
[6,5,7,2,3,4,1]=>[5,6,2,7,3,1,4]
[6,5,7,2,4,1,3]=>[5,6,2,7,1,4,3]
[6,5,7,2,4,3,1]=>[5,6,2,7,1,3,4]
[6,5,7,3,1,2,4]=>[5,6,1,3,7,4,2]
[6,5,7,3,1,4,2]=>[5,6,1,3,7,2,4]
[6,5,7,3,2,1,4]=>[5,6,1,2,3,7,4]
[6,5,7,3,2,4,1]=>[5,6,2,3,7,1,4]
[6,5,7,3,4,1,2]=>[5,6,3,7,1,4,2]
[6,5,7,3,4,2,1]=>[5,6,3,7,1,2,4]
[6,5,7,4,1,2,3]=>[5,6,1,4,7,3,2]
[6,5,7,4,1,3,2]=>[5,6,1,4,7,2,3]
[6,5,7,4,2,1,3]=>[5,6,1,2,4,7,3]
[6,5,7,4,2,3,1]=>[5,6,2,4,7,1,3]
[6,5,7,4,3,1,2]=>[5,6,1,3,4,7,2]
[6,5,7,4,3,2,1]=>[5,6,1,2,3,4,7]
[6,7,1,2,3,4,5]=>[6,1,7,5,4,3,2]
[6,7,1,2,3,5,4]=>[6,1,7,4,5,3,2]
[6,7,1,2,4,3,5]=>[6,1,7,5,3,4,2]
[6,7,1,2,4,5,3]=>[6,1,7,4,3,5,2]
[6,7,1,2,5,3,4]=>[6,1,7,3,5,4,2]
[6,7,1,2,5,4,3]=>[6,1,7,3,4,5,2]
[6,7,1,3,2,4,5]=>[6,1,7,5,4,2,3]
[6,7,1,3,2,5,4]=>[6,1,7,4,5,2,3]
[6,7,1,3,4,2,5]=>[6,1,7,5,3,2,4]
[6,7,1,3,4,5,2]=>[6,1,7,4,3,2,5]
[6,7,1,3,5,2,4]=>[6,1,7,3,2,5,4]
[6,7,1,3,5,4,2]=>[6,1,7,3,2,4,5]
[6,7,1,4,2,3,5]=>[6,1,7,5,2,4,3]
[6,7,1,4,2,5,3]=>[6,1,7,2,4,3,5]
[6,7,1,4,3,2,5]=>[6,1,7,5,2,3,4]
[6,7,1,4,3,5,2]=>[6,1,7,3,4,2,5]
[6,7,1,4,5,2,3]=>[6,1,7,4,2,5,3]
[6,7,1,4,5,3,2]=>[6,1,7,4,2,3,5]
[6,7,1,5,2,3,4]=>[6,1,7,2,5,4,3]
[6,7,1,5,2,4,3]=>[6,1,7,2,5,3,4]
[6,7,1,5,3,2,4]=>[6,1,7,2,3,5,4]
[6,7,1,5,3,4,2]=>[6,1,7,3,5,2,4]
[6,7,1,5,4,2,3]=>[6,1,7,2,4,5,3]
[6,7,1,5,4,3,2]=>[6,1,7,2,3,4,5]
[6,7,2,1,3,4,5]=>[6,1,2,7,5,4,3]
[6,7,2,1,3,5,4]=>[6,1,2,7,4,5,3]
[6,7,2,1,4,3,5]=>[6,1,2,7,5,3,4]
[6,7,2,1,4,5,3]=>[6,1,2,7,4,3,5]
[6,7,2,1,5,3,4]=>[6,1,2,7,3,5,4]
[6,7,2,1,5,4,3]=>[6,1,2,7,3,4,5]
[6,7,2,3,1,4,5]=>[6,2,7,5,4,1,3]
[6,7,2,3,1,5,4]=>[6,2,7,4,5,1,3]
[6,7,2,3,4,1,5]=>[6,2,7,5,3,1,4]
[6,7,2,3,4,5,1]=>[6,2,7,4,3,1,5]
[6,7,2,3,5,1,4]=>[6,2,7,3,1,5,4]
[6,7,2,3,5,4,1]=>[6,2,7,3,1,4,5]
[6,7,2,4,1,3,5]=>[6,2,7,5,1,4,3]
[6,7,2,4,1,5,3]=>[6,2,7,1,4,3,5]
[6,7,2,4,3,1,5]=>[6,2,7,5,1,3,4]
[6,7,2,4,3,5,1]=>[6,2,7,3,4,1,5]
[6,7,2,4,5,1,3]=>[6,2,7,4,1,5,3]
[6,7,2,4,5,3,1]=>[6,2,7,4,1,3,5]
[6,7,2,5,1,3,4]=>[6,2,7,1,5,4,3]
[6,7,2,5,1,4,3]=>[6,2,7,1,5,3,4]
[6,7,2,5,3,1,4]=>[6,2,7,1,3,5,4]
[6,7,2,5,3,4,1]=>[6,2,7,3,5,1,4]
[6,7,2,5,4,1,3]=>[6,2,7,1,4,5,3]
[6,7,2,5,4,3,1]=>[6,2,7,1,3,4,5]
[6,7,3,1,2,4,5]=>[6,1,3,7,5,4,2]
[6,7,3,1,2,5,4]=>[6,1,3,7,4,5,2]
[6,7,3,1,4,2,5]=>[6,1,3,7,5,2,4]
[6,7,3,1,4,5,2]=>[6,1,3,7,4,2,5]
[6,7,3,1,5,2,4]=>[6,1,3,7,2,5,4]
[6,7,3,1,5,4,2]=>[6,1,3,7,2,4,5]
[6,7,3,2,1,4,5]=>[6,1,2,3,7,5,4]
[6,7,3,2,1,5,4]=>[6,1,2,3,7,4,5]
[6,7,3,2,4,1,5]=>[6,2,3,7,5,1,4]
[6,7,3,2,4,5,1]=>[6,2,3,7,4,1,5]
[6,7,3,2,5,1,4]=>[6,2,3,7,1,5,4]
[6,7,3,2,5,4,1]=>[6,2,3,7,1,4,5]
[6,7,3,4,1,2,5]=>[6,3,7,5,1,4,2]
[6,7,3,4,1,5,2]=>[6,3,7,1,4,2,5]
[6,7,3,4,2,1,5]=>[6,3,7,5,1,2,4]
[6,7,3,4,2,5,1]=>[6,3,7,2,4,1,5]
[6,7,3,4,5,1,2]=>[6,3,7,4,1,5,2]
[6,7,3,4,5,2,1]=>[6,3,7,4,1,2,5]
[6,7,3,5,1,2,4]=>[6,3,7,1,5,4,2]
[6,7,3,5,1,4,2]=>[6,3,7,1,5,2,4]
[6,7,3,5,2,1,4]=>[6,3,7,1,2,5,4]
[6,7,3,5,2,4,1]=>[6,3,7,2,5,1,4]
[6,7,3,5,4,1,2]=>[6,3,7,1,4,5,2]
[6,7,3,5,4,2,1]=>[6,3,7,1,2,4,5]
[6,7,4,1,2,3,5]=>[6,1,4,7,5,3,2]
[6,7,4,1,2,5,3]=>[6,1,4,7,3,5,2]
[6,7,4,1,3,2,5]=>[6,1,4,7,5,2,3]
[6,7,4,1,3,5,2]=>[6,1,4,7,3,2,5]
[6,7,4,1,5,2,3]=>[6,1,4,7,2,5,3]
[6,7,4,1,5,3,2]=>[6,1,4,7,2,3,5]
[6,7,4,2,1,3,5]=>[6,1,2,4,7,5,3]
[6,7,4,2,1,5,3]=>[6,1,2,4,7,3,5]
[6,7,4,2,3,1,5]=>[6,2,4,7,5,1,3]
[6,7,4,2,3,5,1]=>[6,2,4,7,3,1,5]
[6,7,4,2,5,1,3]=>[6,2,4,7,1,5,3]
[6,7,4,2,5,3,1]=>[6,2,4,7,1,3,5]
[6,7,4,3,1,2,5]=>[6,1,3,4,7,5,2]
[6,7,4,3,1,5,2]=>[6,1,3,4,7,2,5]
[6,7,4,3,2,1,5]=>[6,1,2,3,4,7,5]
[6,7,4,3,2,5,1]=>[6,2,3,4,7,1,5]
[6,7,4,3,5,1,2]=>[6,3,4,7,1,5,2]
[6,7,4,3,5,2,1]=>[6,3,4,7,1,2,5]
[6,7,4,5,1,2,3]=>[6,4,7,1,5,3,2]
[6,7,4,5,1,3,2]=>[6,4,7,1,5,2,3]
[6,7,4,5,2,1,3]=>[6,4,7,1,2,5,3]
[6,7,4,5,2,3,1]=>[6,4,7,2,5,1,3]
[6,7,4,5,3,1,2]=>[6,4,7,1,3,5,2]
[6,7,4,5,3,2,1]=>[6,4,7,1,2,3,5]
[6,7,5,1,2,3,4]=>[6,1,5,7,4,3,2]
[6,7,5,1,2,4,3]=>[6,1,5,7,3,4,2]
[6,7,5,1,3,2,4]=>[6,1,5,7,4,2,3]
[6,7,5,1,3,4,2]=>[6,1,5,7,3,2,4]
[6,7,5,1,4,2,3]=>[6,1,5,7,2,4,3]
[6,7,5,1,4,3,2]=>[6,1,5,7,2,3,4]
[6,7,5,2,1,3,4]=>[6,1,2,5,7,4,3]
[6,7,5,2,1,4,3]=>[6,1,2,5,7,3,4]
[6,7,5,2,3,1,4]=>[6,2,5,7,4,1,3]
[6,7,5,2,3,4,1]=>[6,2,5,7,3,1,4]
[6,7,5,2,4,1,3]=>[6,2,5,7,1,4,3]
[6,7,5,2,4,3,1]=>[6,2,5,7,1,3,4]
[6,7,5,3,1,2,4]=>[6,1,3,5,7,4,2]
[6,7,5,3,1,4,2]=>[6,1,3,5,7,2,4]
[6,7,5,3,2,1,4]=>[6,1,2,3,5,7,4]
[6,7,5,3,2,4,1]=>[6,2,3,5,7,1,4]
[6,7,5,3,4,1,2]=>[6,3,5,7,1,4,2]
[6,7,5,3,4,2,1]=>[6,3,5,7,1,2,4]
[6,7,5,4,1,2,3]=>[6,1,4,5,7,3,2]
[6,7,5,4,1,3,2]=>[6,1,4,5,7,2,3]
[6,7,5,4,2,1,3]=>[6,1,2,4,5,7,3]
[6,7,5,4,2,3,1]=>[6,2,4,5,7,1,3]
[6,7,5,4,3,1,2]=>[6,1,3,4,5,7,2]
[6,7,5,4,3,2,1]=>[6,1,2,3,4,5,7]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]
[7,1,2,3,4,6,5]=>[1,7,5,6,4,3,2]
[7,1,2,3,5,4,6]=>[1,7,6,4,5,3,2]
[7,1,2,3,5,6,4]=>[1,7,5,4,6,3,2]
[7,1,2,3,6,4,5]=>[1,7,4,6,5,3,2]
[7,1,2,3,6,5,4]=>[1,7,4,5,6,3,2]
[7,1,2,4,3,5,6]=>[1,7,6,5,3,4,2]
[7,1,2,4,3,6,5]=>[1,7,5,6,3,4,2]
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]
[7,1,2,4,5,6,3]=>[1,7,5,4,3,6,2]
[7,1,2,4,6,3,5]=>[1,7,4,3,6,5,2]
[7,1,2,4,6,5,3]=>[1,7,4,3,5,6,2]
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]
[7,1,2,5,3,6,4]=>[1,7,3,5,4,6,2]
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]
[7,1,2,5,4,6,3]=>[1,7,4,5,3,6,2]
[7,1,2,5,6,3,4]=>[1,7,5,3,6,4,2]
[7,1,2,5,6,4,3]=>[1,7,5,3,4,6,2]
[7,1,2,6,3,4,5]=>[1,7,3,6,5,4,2]
[7,1,2,6,3,5,4]=>[1,7,3,6,4,5,2]
[7,1,2,6,4,3,5]=>[1,7,3,4,6,5,2]
[7,1,2,6,4,5,3]=>[1,7,4,6,3,5,2]
[7,1,2,6,5,3,4]=>[1,7,3,5,6,4,2]
[7,1,2,6,5,4,3]=>[1,7,3,4,5,6,2]
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]
[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]
[7,1,3,2,5,4,6]=>[1,7,6,4,5,2,3]
[7,1,3,2,5,6,4]=>[1,7,5,4,6,2,3]
[7,1,3,2,6,4,5]=>[1,7,4,6,5,2,3]
[7,1,3,2,6,5,4]=>[1,7,4,5,6,2,3]
[7,1,3,4,2,5,6]=>[1,7,6,5,3,2,4]
[7,1,3,4,2,6,5]=>[1,7,5,6,3,2,4]
[7,1,3,4,5,2,6]=>[1,7,6,4,3,2,5]
[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]
[7,1,3,4,6,2,5]=>[1,7,4,3,2,6,5]
[7,1,3,4,6,5,2]=>[1,7,4,3,2,5,6]
[7,1,3,5,2,4,6]=>[1,7,6,3,2,5,4]
[7,1,3,5,2,6,4]=>[1,7,3,2,5,4,6]
[7,1,3,5,4,2,6]=>[1,7,6,3,2,4,5]
[7,1,3,5,4,6,2]=>[1,7,4,5,3,2,6]
[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]
[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]
[7,1,3,6,2,4,5]=>[1,7,3,2,6,5,4]
[7,1,3,6,2,5,4]=>[1,7,3,2,6,4,5]
[7,1,3,6,4,2,5]=>[1,7,3,2,4,6,5]
[7,1,3,6,4,5,2]=>[1,7,4,6,3,2,5]
[7,1,3,6,5,2,4]=>[1,7,3,2,5,6,4]
[7,1,3,6,5,4,2]=>[1,7,3,2,4,5,6]
[7,1,4,2,3,5,6]=>[1,7,6,5,2,4,3]
[7,1,4,2,3,6,5]=>[1,7,5,6,2,4,3]
[7,1,4,2,5,3,6]=>[1,7,6,2,4,3,5]
[7,1,4,2,5,6,3]=>[1,7,5,2,4,3,6]
[7,1,4,2,6,3,5]=>[1,7,2,4,3,6,5]
[7,1,4,2,6,5,3]=>[1,7,2,4,3,5,6]
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]
[7,1,4,3,2,6,5]=>[1,7,5,6,2,3,4]
[7,1,4,3,5,2,6]=>[1,7,6,3,4,2,5]
[7,1,4,3,5,6,2]=>[1,7,5,3,4,2,6]
[7,1,4,3,6,2,5]=>[1,7,3,4,2,6,5]
[7,1,4,3,6,5,2]=>[1,7,3,4,2,5,6]
[7,1,4,5,2,3,6]=>[1,7,6,4,2,5,3]
[7,1,4,5,2,6,3]=>[1,7,4,2,5,3,6]
[7,1,4,5,3,2,6]=>[1,7,6,4,2,3,5]
[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]
[7,1,4,5,6,2,3]=>[1,7,5,4,2,6,3]
[7,1,4,5,6,3,2]=>[1,7,5,4,2,3,6]
[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]
[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]
[7,1,4,6,3,2,5]=>[1,7,4,2,3,6,5]
[7,1,4,6,3,5,2]=>[1,7,4,3,6,2,5]
[7,1,4,6,5,2,3]=>[1,7,4,2,5,6,3]
[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]
[7,1,5,2,3,4,6]=>[1,7,6,2,5,4,3]
[7,1,5,2,3,6,4]=>[1,7,2,5,4,6,3]
[7,1,5,2,4,3,6]=>[1,7,6,2,5,3,4]
[7,1,5,2,4,6,3]=>[1,7,2,5,4,3,6]
[7,1,5,2,6,3,4]=>[1,7,2,5,3,6,4]
[7,1,5,2,6,4,3]=>[1,7,2,5,3,4,6]
[7,1,5,3,2,4,6]=>[1,7,6,2,3,5,4]
[7,1,5,3,2,6,4]=>[1,7,2,3,5,4,6]
[7,1,5,3,4,2,6]=>[1,7,6,3,5,2,4]
[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]
[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]
[7,1,5,4,2,3,6]=>[1,7,6,2,4,5,3]
[7,1,5,4,2,6,3]=>[1,7,2,4,5,3,6]
[7,1,5,4,3,2,6]=>[1,7,6,2,3,4,5]
[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]
[7,1,5,4,6,2,3]=>[1,7,4,5,2,6,3]
[7,1,5,4,6,3,2]=>[1,7,4,5,2,3,6]
[7,1,5,6,2,3,4]=>[1,7,5,2,6,4,3]
[7,1,5,6,2,4,3]=>[1,7,5,2,6,3,4]
[7,1,5,6,3,2,4]=>[1,7,5,2,3,6,4]
[7,1,5,6,3,4,2]=>[1,7,5,3,6,2,4]
[7,1,5,6,4,2,3]=>[1,7,5,2,4,6,3]
[7,1,5,6,4,3,2]=>[1,7,5,2,3,4,6]
[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]
[7,1,6,2,3,5,4]=>[1,7,2,6,4,5,3]
[7,1,6,2,4,3,5]=>[1,7,2,6,5,3,4]
[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]
[7,1,6,3,2,4,5]=>[1,7,2,3,6,5,4]
[7,1,6,3,2,5,4]=>[1,7,2,3,6,4,5]
[7,1,6,3,4,2,5]=>[1,7,3,6,5,2,4]
[7,1,6,3,4,5,2]=>[1,7,3,6,4,2,5]
[7,1,6,3,5,2,4]=>[1,7,3,6,2,5,4]
[7,1,6,3,5,4,2]=>[1,7,3,6,2,4,5]
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]
[7,1,6,4,3,2,5]=>[1,7,2,3,4,6,5]
[7,1,6,4,3,5,2]=>[1,7,3,4,6,2,5]
[7,1,6,4,5,2,3]=>[1,7,4,6,2,5,3]
[7,1,6,4,5,3,2]=>[1,7,4,6,2,3,5]
[7,1,6,5,2,3,4]=>[1,7,2,5,6,4,3]
[7,1,6,5,2,4,3]=>[1,7,2,5,6,3,4]
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]
[7,1,6,5,3,4,2]=>[1,7,3,5,6,2,4]
[7,1,6,5,4,2,3]=>[1,7,2,4,5,6,3]
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]
[7,2,1,3,4,5,6]=>[1,2,7,6,5,4,3]
[7,2,1,3,4,6,5]=>[1,2,7,5,6,4,3]
[7,2,1,3,5,4,6]=>[1,2,7,6,4,5,3]
[7,2,1,3,5,6,4]=>[1,2,7,5,4,6,3]
[7,2,1,3,6,4,5]=>[1,2,7,4,6,5,3]
[7,2,1,3,6,5,4]=>[1,2,7,4,5,6,3]
[7,2,1,4,3,5,6]=>[1,2,7,6,5,3,4]
[7,2,1,4,3,6,5]=>[1,2,7,5,6,3,4]
[7,2,1,4,5,3,6]=>[1,2,7,6,4,3,5]
[7,2,1,4,5,6,3]=>[1,2,7,5,4,3,6]
[7,2,1,4,6,3,5]=>[1,2,7,4,3,6,5]
[7,2,1,4,6,5,3]=>[1,2,7,4,3,5,6]
[7,2,1,5,3,4,6]=>[1,2,7,6,3,5,4]
[7,2,1,5,3,6,4]=>[1,2,7,3,5,4,6]
[7,2,1,5,4,3,6]=>[1,2,7,6,3,4,5]
[7,2,1,5,4,6,3]=>[1,2,7,4,5,3,6]
[7,2,1,5,6,3,4]=>[1,2,7,5,3,6,4]
[7,2,1,5,6,4,3]=>[1,2,7,5,3,4,6]
[7,2,1,6,3,4,5]=>[1,2,7,3,6,5,4]
[7,2,1,6,3,5,4]=>[1,2,7,3,6,4,5]
[7,2,1,6,4,3,5]=>[1,2,7,3,4,6,5]
[7,2,1,6,4,5,3]=>[1,2,7,4,6,3,5]
[7,2,1,6,5,3,4]=>[1,2,7,3,5,6,4]
[7,2,1,6,5,4,3]=>[1,2,7,3,4,5,6]
[7,2,3,1,4,5,6]=>[2,7,6,5,4,1,3]
[7,2,3,1,4,6,5]=>[2,7,5,6,4,1,3]
[7,2,3,1,5,4,6]=>[2,7,6,4,5,1,3]
[7,2,3,1,5,6,4]=>[2,7,5,4,6,1,3]
[7,2,3,1,6,4,5]=>[2,7,4,6,5,1,3]
[7,2,3,1,6,5,4]=>[2,7,4,5,6,1,3]
[7,2,3,4,1,5,6]=>[2,7,6,5,3,1,4]
[7,2,3,4,1,6,5]=>[2,7,5,6,3,1,4]
[7,2,3,4,5,1,6]=>[2,7,6,4,3,1,5]
[7,2,3,4,5,6,1]=>[2,7,5,4,3,1,6]
[7,2,3,4,6,1,5]=>[2,7,4,3,1,6,5]
[7,2,3,4,6,5,1]=>[2,7,4,3,1,5,6]
[7,2,3,5,1,4,6]=>[2,7,6,3,1,5,4]
[7,2,3,5,1,6,4]=>[2,7,3,1,5,4,6]
[7,2,3,5,4,1,6]=>[2,7,6,3,1,4,5]
[7,2,3,5,4,6,1]=>[2,7,4,5,3,1,6]
[7,2,3,5,6,1,4]=>[2,7,5,3,1,6,4]
[7,2,3,5,6,4,1]=>[2,7,5,3,1,4,6]
[7,2,3,6,1,4,5]=>[2,7,3,1,6,5,4]
[7,2,3,6,1,5,4]=>[2,7,3,1,6,4,5]
[7,2,3,6,4,1,5]=>[2,7,3,1,4,6,5]
[7,2,3,6,4,5,1]=>[2,7,4,6,3,1,5]
[7,2,3,6,5,1,4]=>[2,7,3,1,5,6,4]
[7,2,3,6,5,4,1]=>[2,7,3,1,4,5,6]
[7,2,4,1,3,5,6]=>[2,7,6,5,1,4,3]
[7,2,4,1,3,6,5]=>[2,7,5,6,1,4,3]
[7,2,4,1,5,3,6]=>[2,7,6,1,4,3,5]
[7,2,4,1,5,6,3]=>[2,7,5,1,4,3,6]
[7,2,4,1,6,3,5]=>[2,7,1,4,3,6,5]
[7,2,4,1,6,5,3]=>[2,7,1,4,3,5,6]
[7,2,4,3,1,5,6]=>[2,7,6,5,1,3,4]
[7,2,4,3,1,6,5]=>[2,7,5,6,1,3,4]
[7,2,4,3,5,1,6]=>[2,7,6,3,4,1,5]
[7,2,4,3,5,6,1]=>[2,7,5,3,4,1,6]
[7,2,4,3,6,1,5]=>[2,7,3,4,1,6,5]
[7,2,4,3,6,5,1]=>[2,7,3,4,1,5,6]
[7,2,4,5,1,3,6]=>[2,7,6,4,1,5,3]
[7,2,4,5,1,6,3]=>[2,7,4,1,5,3,6]
[7,2,4,5,3,1,6]=>[2,7,6,4,1,3,5]
[7,2,4,5,3,6,1]=>[2,7,4,3,5,1,6]
[7,2,4,5,6,1,3]=>[2,7,5,4,1,6,3]
[7,2,4,5,6,3,1]=>[2,7,5,4,1,3,6]
[7,2,4,6,1,3,5]=>[2,7,4,1,6,5,3]
[7,2,4,6,1,5,3]=>[2,7,4,1,6,3,5]
[7,2,4,6,3,1,5]=>[2,7,4,1,3,6,5]
[7,2,4,6,3,5,1]=>[2,7,4,3,6,1,5]
[7,2,4,6,5,1,3]=>[2,7,4,1,5,6,3]
[7,2,4,6,5,3,1]=>[2,7,4,1,3,5,6]
[7,2,5,1,3,4,6]=>[2,7,6,1,5,4,3]
[7,2,5,1,3,6,4]=>[2,7,1,5,4,6,3]
[7,2,5,1,4,3,6]=>[2,7,6,1,5,3,4]
[7,2,5,1,4,6,3]=>[2,7,1,5,4,3,6]
[7,2,5,1,6,3,4]=>[2,7,1,5,3,6,4]
[7,2,5,1,6,4,3]=>[2,7,1,5,3,4,6]
[7,2,5,3,1,4,6]=>[2,7,6,1,3,5,4]
[7,2,5,3,1,6,4]=>[2,7,1,3,5,4,6]
[7,2,5,3,4,1,6]=>[2,7,6,3,5,1,4]
[7,2,5,3,4,6,1]=>[2,7,3,5,4,1,6]
[7,2,5,3,6,1,4]=>[2,7,3,5,1,6,4]
[7,2,5,3,6,4,1]=>[2,7,3,5,1,4,6]
[7,2,5,4,1,3,6]=>[2,7,6,1,4,5,3]
[7,2,5,4,1,6,3]=>[2,7,1,4,5,3,6]
[7,2,5,4,3,1,6]=>[2,7,6,1,3,4,5]
[7,2,5,4,3,6,1]=>[2,7,3,4,5,1,6]
[7,2,5,4,6,1,3]=>[2,7,4,5,1,6,3]
[7,2,5,4,6,3,1]=>[2,7,4,5,1,3,6]
[7,2,5,6,1,3,4]=>[2,7,5,1,6,4,3]
[7,2,5,6,1,4,3]=>[2,7,5,1,6,3,4]
[7,2,5,6,3,1,4]=>[2,7,5,1,3,6,4]
[7,2,5,6,3,4,1]=>[2,7,5,3,6,1,4]
[7,2,5,6,4,1,3]=>[2,7,5,1,4,6,3]
[7,2,5,6,4,3,1]=>[2,7,5,1,3,4,6]
[7,2,6,1,3,4,5]=>[2,7,1,6,5,4,3]
[7,2,6,1,3,5,4]=>[2,7,1,6,4,5,3]
[7,2,6,1,4,3,5]=>[2,7,1,6,5,3,4]
[7,2,6,1,4,5,3]=>[2,7,1,6,4,3,5]
[7,2,6,1,5,3,4]=>[2,7,1,6,3,5,4]
[7,2,6,1,5,4,3]=>[2,7,1,6,3,4,5]
[7,2,6,3,1,4,5]=>[2,7,1,3,6,5,4]
[7,2,6,3,1,5,4]=>[2,7,1,3,6,4,5]
[7,2,6,3,4,1,5]=>[2,7,3,6,5,1,4]
[7,2,6,3,4,5,1]=>[2,7,3,6,4,1,5]
[7,2,6,3,5,1,4]=>[2,7,3,6,1,5,4]
[7,2,6,3,5,4,1]=>[2,7,3,6,1,4,5]
[7,2,6,4,1,3,5]=>[2,7,1,4,6,5,3]
[7,2,6,4,1,5,3]=>[2,7,1,4,6,3,5]
[7,2,6,4,3,1,5]=>[2,7,1,3,4,6,5]
[7,2,6,4,3,5,1]=>[2,7,3,4,6,1,5]
[7,2,6,4,5,1,3]=>[2,7,4,6,1,5,3]
[7,2,6,4,5,3,1]=>[2,7,4,6,1,3,5]
[7,2,6,5,1,3,4]=>[2,7,1,5,6,4,3]
[7,2,6,5,1,4,3]=>[2,7,1,5,6,3,4]
[7,2,6,5,3,1,4]=>[2,7,1,3,5,6,4]
[7,2,6,5,3,4,1]=>[2,7,3,5,6,1,4]
[7,2,6,5,4,1,3]=>[2,7,1,4,5,6,3]
[7,2,6,5,4,3,1]=>[2,7,1,3,4,5,6]
[7,3,1,2,4,5,6]=>[1,3,7,6,5,4,2]
[7,3,1,2,4,6,5]=>[1,3,7,5,6,4,2]
[7,3,1,2,5,4,6]=>[1,3,7,6,4,5,2]
[7,3,1,2,5,6,4]=>[1,3,7,5,4,6,2]
[7,3,1,2,6,4,5]=>[1,3,7,4,6,5,2]
[7,3,1,2,6,5,4]=>[1,3,7,4,5,6,2]
[7,3,1,4,2,5,6]=>[1,3,7,6,5,2,4]
[7,3,1,4,2,6,5]=>[1,3,7,5,6,2,4]
[7,3,1,4,5,2,6]=>[1,3,7,6,4,2,5]
[7,3,1,4,5,6,2]=>[1,3,7,5,4,2,6]
[7,3,1,4,6,2,5]=>[1,3,7,4,2,6,5]
[7,3,1,4,6,5,2]=>[1,3,7,4,2,5,6]
[7,3,1,5,2,4,6]=>[1,3,7,6,2,5,4]
[7,3,1,5,2,6,4]=>[1,3,7,2,5,4,6]
[7,3,1,5,4,2,6]=>[1,3,7,6,2,4,5]
[7,3,1,5,4,6,2]=>[1,3,7,4,5,2,6]
[7,3,1,5,6,2,4]=>[1,3,7,5,2,6,4]
[7,3,1,5,6,4,2]=>[1,3,7,5,2,4,6]
[7,3,1,6,2,4,5]=>[1,3,7,2,6,5,4]
[7,3,1,6,2,5,4]=>[1,3,7,2,6,4,5]
[7,3,1,6,4,2,5]=>[1,3,7,2,4,6,5]
[7,3,1,6,4,5,2]=>[1,3,7,4,6,2,5]
[7,3,1,6,5,2,4]=>[1,3,7,2,5,6,4]
[7,3,1,6,5,4,2]=>[1,3,7,2,4,5,6]
[7,3,2,1,4,5,6]=>[1,2,3,7,6,5,4]
[7,3,2,1,4,6,5]=>[1,2,3,7,5,6,4]
[7,3,2,1,5,4,6]=>[1,2,3,7,6,4,5]
[7,3,2,1,5,6,4]=>[1,2,3,7,5,4,6]
[7,3,2,1,6,4,5]=>[1,2,3,7,4,6,5]
[7,3,2,1,6,5,4]=>[1,2,3,7,4,5,6]
[7,3,2,4,1,5,6]=>[2,3,7,6,5,1,4]
[7,3,2,4,1,6,5]=>[2,3,7,5,6,1,4]
[7,3,2,4,5,1,6]=>[2,3,7,6,4,1,5]
[7,3,2,4,5,6,1]=>[2,3,7,5,4,1,6]
[7,3,2,4,6,1,5]=>[2,3,7,4,1,6,5]
[7,3,2,4,6,5,1]=>[2,3,7,4,1,5,6]
[7,3,2,5,1,4,6]=>[2,3,7,6,1,5,4]
[7,3,2,5,1,6,4]=>[2,3,7,1,5,4,6]
[7,3,2,5,4,1,6]=>[2,3,7,6,1,4,5]
[7,3,2,5,4,6,1]=>[2,3,7,4,5,1,6]
[7,3,2,5,6,1,4]=>[2,3,7,5,1,6,4]
[7,3,2,5,6,4,1]=>[2,3,7,5,1,4,6]
[7,3,2,6,1,4,5]=>[2,3,7,1,6,5,4]
[7,3,2,6,1,5,4]=>[2,3,7,1,6,4,5]
[7,3,2,6,4,1,5]=>[2,3,7,1,4,6,5]
[7,3,2,6,4,5,1]=>[2,3,7,4,6,1,5]
[7,3,2,6,5,1,4]=>[2,3,7,1,5,6,4]
[7,3,2,6,5,4,1]=>[2,3,7,1,4,5,6]
[7,3,4,1,2,5,6]=>[3,7,6,5,1,4,2]
[7,3,4,1,2,6,5]=>[3,7,5,6,1,4,2]
[7,3,4,1,5,2,6]=>[3,7,6,1,4,2,5]
[7,3,4,1,5,6,2]=>[3,7,5,1,4,2,6]
[7,3,4,1,6,2,5]=>[3,7,1,4,2,6,5]
[7,3,4,1,6,5,2]=>[3,7,1,4,2,5,6]
[7,3,4,2,1,5,6]=>[3,7,6,5,1,2,4]
[7,3,4,2,1,6,5]=>[3,7,5,6,1,2,4]
[7,3,4,2,5,1,6]=>[3,7,6,2,4,1,5]
[7,3,4,2,5,6,1]=>[3,7,5,2,4,1,6]
[7,3,4,2,6,1,5]=>[3,7,2,4,1,6,5]
[7,3,4,2,6,5,1]=>[3,7,2,4,1,5,6]
[7,3,4,5,1,2,6]=>[3,7,6,4,1,5,2]
[7,3,4,5,1,6,2]=>[3,7,4,1,5,2,6]
[7,3,4,5,2,1,6]=>[3,7,6,4,1,2,5]
[7,3,4,5,2,6,1]=>[3,7,4,2,5,1,6]
[7,3,4,5,6,1,2]=>[3,7,5,4,1,6,2]
[7,3,4,5,6,2,1]=>[3,7,5,4,1,2,6]
[7,3,4,6,1,2,5]=>[3,7,4,1,6,5,2]
[7,3,4,6,1,5,2]=>[3,7,4,1,6,2,5]
[7,3,4,6,2,1,5]=>[3,7,4,1,2,6,5]
[7,3,4,6,2,5,1]=>[3,7,4,2,6,1,5]
[7,3,4,6,5,1,2]=>[3,7,4,1,5,6,2]
[7,3,4,6,5,2,1]=>[3,7,4,1,2,5,6]
[7,3,5,1,2,4,6]=>[3,7,6,1,5,4,2]
[7,3,5,1,2,6,4]=>[3,7,1,5,4,6,2]
[7,3,5,1,4,2,6]=>[3,7,6,1,5,2,4]
[7,3,5,1,4,6,2]=>[3,7,1,5,4,2,6]
[7,3,5,1,6,2,4]=>[3,7,1,5,2,6,4]
[7,3,5,1,6,4,2]=>[3,7,1,5,2,4,6]
[7,3,5,2,1,4,6]=>[3,7,6,1,2,5,4]
[7,3,5,2,1,6,4]=>[3,7,1,2,5,4,6]
[7,3,5,2,4,1,6]=>[3,7,6,2,5,1,4]
[7,3,5,2,4,6,1]=>[3,7,2,5,4,1,6]
[7,3,5,2,6,1,4]=>[3,7,2,5,1,6,4]
[7,3,5,2,6,4,1]=>[3,7,2,5,1,4,6]
[7,3,5,4,1,2,6]=>[3,7,6,1,4,5,2]
[7,3,5,4,1,6,2]=>[3,7,1,4,5,2,6]
[7,3,5,4,2,1,6]=>[3,7,6,1,2,4,5]
[7,3,5,4,2,6,1]=>[3,7,2,4,5,1,6]
[7,3,5,4,6,1,2]=>[3,7,4,5,1,6,2]
[7,3,5,4,6,2,1]=>[3,7,4,5,1,2,6]
[7,3,5,6,1,2,4]=>[3,7,5,1,6,4,2]
[7,3,5,6,1,4,2]=>[3,7,5,1,6,2,4]
[7,3,5,6,2,1,4]=>[3,7,5,1,2,6,4]
[7,3,5,6,2,4,1]=>[3,7,5,2,6,1,4]
[7,3,5,6,4,1,2]=>[3,7,5,1,4,6,2]
[7,3,5,6,4,2,1]=>[3,7,5,1,2,4,6]
[7,3,6,1,2,4,5]=>[3,7,1,6,5,4,2]
[7,3,6,1,2,5,4]=>[3,7,1,6,4,5,2]
[7,3,6,1,4,2,5]=>[3,7,1,6,5,2,4]
[7,3,6,1,4,5,2]=>[3,7,1,6,4,2,5]
[7,3,6,1,5,2,4]=>[3,7,1,6,2,5,4]
[7,3,6,1,5,4,2]=>[3,7,1,6,2,4,5]
[7,3,6,2,1,4,5]=>[3,7,1,2,6,5,4]
[7,3,6,2,1,5,4]=>[3,7,1,2,6,4,5]
[7,3,6,2,4,1,5]=>[3,7,2,6,5,1,4]
[7,3,6,2,4,5,1]=>[3,7,2,6,4,1,5]
[7,3,6,2,5,1,4]=>[3,7,2,6,1,5,4]
[7,3,6,2,5,4,1]=>[3,7,2,6,1,4,5]
[7,3,6,4,1,2,5]=>[3,7,1,4,6,5,2]
[7,3,6,4,1,5,2]=>[3,7,1,4,6,2,5]
[7,3,6,4,2,1,5]=>[3,7,1,2,4,6,5]
[7,3,6,4,2,5,1]=>[3,7,2,4,6,1,5]
[7,3,6,4,5,1,2]=>[3,7,4,6,1,5,2]
[7,3,6,4,5,2,1]=>[3,7,4,6,1,2,5]
[7,3,6,5,1,2,4]=>[3,7,1,5,6,4,2]
[7,3,6,5,1,4,2]=>[3,7,1,5,6,2,4]
[7,3,6,5,2,1,4]=>[3,7,1,2,5,6,4]
[7,3,6,5,2,4,1]=>[3,7,2,5,6,1,4]
[7,3,6,5,4,1,2]=>[3,7,1,4,5,6,2]
[7,3,6,5,4,2,1]=>[3,7,1,2,4,5,6]
[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]
[7,4,1,2,3,6,5]=>[1,4,7,5,6,3,2]
[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]
[7,4,1,2,5,6,3]=>[1,4,7,5,3,6,2]
[7,4,1,2,6,3,5]=>[1,4,7,3,6,5,2]
[7,4,1,2,6,5,3]=>[1,4,7,3,5,6,2]
[7,4,1,3,2,5,6]=>[1,4,7,6,5,2,3]
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]
[7,4,1,3,5,2,6]=>[1,4,7,6,3,2,5]
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]
[7,4,1,3,6,2,5]=>[1,4,7,3,2,6,5]
[7,4,1,3,6,5,2]=>[1,4,7,3,2,5,6]
[7,4,1,5,2,3,6]=>[1,4,7,6,2,5,3]
[7,4,1,5,2,6,3]=>[1,4,7,2,5,3,6]
[7,4,1,5,3,2,6]=>[1,4,7,6,2,3,5]
[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]
[7,4,1,5,6,2,3]=>[1,4,7,5,2,6,3]
[7,4,1,5,6,3,2]=>[1,4,7,5,2,3,6]
[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]
[7,4,1,6,3,2,5]=>[1,4,7,2,3,6,5]
[7,4,1,6,3,5,2]=>[1,4,7,3,6,2,5]
[7,4,1,6,5,2,3]=>[1,4,7,2,5,6,3]
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]
[7,4,2,1,3,5,6]=>[1,2,4,7,6,5,3]
[7,4,2,1,3,6,5]=>[1,2,4,7,5,6,3]
[7,4,2,1,5,3,6]=>[1,2,4,7,6,3,5]
[7,4,2,1,5,6,3]=>[1,2,4,7,5,3,6]
[7,4,2,1,6,3,5]=>[1,2,4,7,3,6,5]
[7,4,2,1,6,5,3]=>[1,2,4,7,3,5,6]
[7,4,2,3,1,5,6]=>[2,4,7,6,5,1,3]
[7,4,2,3,1,6,5]=>[2,4,7,5,6,1,3]
[7,4,2,3,5,1,6]=>[2,4,7,6,3,1,5]
[7,4,2,3,5,6,1]=>[2,4,7,5,3,1,6]
[7,4,2,3,6,1,5]=>[2,4,7,3,1,6,5]
[7,4,2,3,6,5,1]=>[2,4,7,3,1,5,6]
[7,4,2,5,1,3,6]=>[2,4,7,6,1,5,3]
[7,4,2,5,1,6,3]=>[2,4,7,1,5,3,6]
[7,4,2,5,3,1,6]=>[2,4,7,6,1,3,5]
[7,4,2,5,3,6,1]=>[2,4,7,3,5,1,6]
[7,4,2,5,6,1,3]=>[2,4,7,5,1,6,3]
[7,4,2,5,6,3,1]=>[2,4,7,5,1,3,6]
[7,4,2,6,1,3,5]=>[2,4,7,1,6,5,3]
[7,4,2,6,1,5,3]=>[2,4,7,1,6,3,5]
[7,4,2,6,3,1,5]=>[2,4,7,1,3,6,5]
[7,4,2,6,3,5,1]=>[2,4,7,3,6,1,5]
[7,4,2,6,5,1,3]=>[2,4,7,1,5,6,3]
[7,4,2,6,5,3,1]=>[2,4,7,1,3,5,6]
[7,4,3,1,2,5,6]=>[1,3,4,7,6,5,2]
[7,4,3,1,2,6,5]=>[1,3,4,7,5,6,2]
[7,4,3,1,5,2,6]=>[1,3,4,7,6,2,5]
[7,4,3,1,5,6,2]=>[1,3,4,7,5,2,6]
[7,4,3,1,6,2,5]=>[1,3,4,7,2,6,5]
[7,4,3,1,6,5,2]=>[1,3,4,7,2,5,6]
[7,4,3,2,1,5,6]=>[1,2,3,4,7,6,5]
[7,4,3,2,1,6,5]=>[1,2,3,4,7,5,6]
[7,4,3,2,5,1,6]=>[2,3,4,7,6,1,5]
[7,4,3,2,5,6,1]=>[2,3,4,7,5,1,6]
[7,4,3,2,6,1,5]=>[2,3,4,7,1,6,5]
[7,4,3,2,6,5,1]=>[2,3,4,7,1,5,6]
[7,4,3,5,1,2,6]=>[3,4,7,6,1,5,2]
[7,4,3,5,1,6,2]=>[3,4,7,1,5,2,6]
[7,4,3,5,2,1,6]=>[3,4,7,6,1,2,5]
[7,4,3,5,2,6,1]=>[3,4,7,2,5,1,6]
[7,4,3,5,6,1,2]=>[3,4,7,5,1,6,2]
[7,4,3,5,6,2,1]=>[3,4,7,5,1,2,6]
[7,4,3,6,1,2,5]=>[3,4,7,1,6,5,2]
[7,4,3,6,1,5,2]=>[3,4,7,1,6,2,5]
[7,4,3,6,2,1,5]=>[3,4,7,1,2,6,5]
[7,4,3,6,2,5,1]=>[3,4,7,2,6,1,5]
[7,4,3,6,5,1,2]=>[3,4,7,1,5,6,2]
[7,4,3,6,5,2,1]=>[3,4,7,1,2,5,6]
[7,4,5,1,2,3,6]=>[4,7,6,1,5,3,2]
[7,4,5,1,2,6,3]=>[4,7,1,5,3,6,2]
[7,4,5,1,3,2,6]=>[4,7,6,1,5,2,3]
[7,4,5,1,3,6,2]=>[4,7,1,5,3,2,6]
[7,4,5,1,6,2,3]=>[4,7,1,5,2,6,3]
[7,4,5,1,6,3,2]=>[4,7,1,5,2,3,6]
[7,4,5,2,1,3,6]=>[4,7,6,1,2,5,3]
[7,4,5,2,1,6,3]=>[4,7,1,2,5,3,6]
[7,4,5,2,3,1,6]=>[4,7,6,2,5,1,3]
[7,4,5,2,3,6,1]=>[4,7,2,5,3,1,6]
[7,4,5,2,6,1,3]=>[4,7,2,5,1,6,3]
[7,4,5,2,6,3,1]=>[4,7,2,5,1,3,6]
[7,4,5,3,1,2,6]=>[4,7,6,1,3,5,2]
[7,4,5,3,1,6,2]=>[4,7,1,3,5,2,6]
[7,4,5,3,2,1,6]=>[4,7,6,1,2,3,5]
[7,4,5,3,2,6,1]=>[4,7,2,3,5,1,6]
[7,4,5,3,6,1,2]=>[4,7,3,5,1,6,2]
[7,4,5,3,6,2,1]=>[4,7,3,5,1,2,6]
[7,4,5,6,1,2,3]=>[4,7,5,1,6,3,2]
[7,4,5,6,1,3,2]=>[4,7,5,1,6,2,3]
[7,4,5,6,2,1,3]=>[4,7,5,1,2,6,3]
[7,4,5,6,2,3,1]=>[4,7,5,2,6,1,3]
[7,4,5,6,3,1,2]=>[4,7,5,1,3,6,2]
[7,4,5,6,3,2,1]=>[4,7,5,1,2,3,6]
[7,4,6,1,2,3,5]=>[4,7,1,6,5,3,2]
[7,4,6,1,2,5,3]=>[4,7,1,6,3,5,2]
[7,4,6,1,3,2,5]=>[4,7,1,6,5,2,3]
[7,4,6,1,3,5,2]=>[4,7,1,6,3,2,5]
[7,4,6,1,5,2,3]=>[4,7,1,6,2,5,3]
[7,4,6,1,5,3,2]=>[4,7,1,6,2,3,5]
[7,4,6,2,1,3,5]=>[4,7,1,2,6,5,3]
[7,4,6,2,1,5,3]=>[4,7,1,2,6,3,5]
[7,4,6,2,3,1,5]=>[4,7,2,6,5,1,3]
[7,4,6,2,3,5,1]=>[4,7,2,6,3,1,5]
[7,4,6,2,5,1,3]=>[4,7,2,6,1,5,3]
[7,4,6,2,5,3,1]=>[4,7,2,6,1,3,5]
[7,4,6,3,1,2,5]=>[4,7,1,3,6,5,2]
[7,4,6,3,1,5,2]=>[4,7,1,3,6,2,5]
[7,4,6,3,2,1,5]=>[4,7,1,2,3,6,5]
[7,4,6,3,2,5,1]=>[4,7,2,3,6,1,5]
[7,4,6,3,5,1,2]=>[4,7,3,6,1,5,2]
[7,4,6,3,5,2,1]=>[4,7,3,6,1,2,5]
[7,4,6,5,1,2,3]=>[4,7,1,5,6,3,2]
[7,4,6,5,1,3,2]=>[4,7,1,5,6,2,3]
[7,4,6,5,2,1,3]=>[4,7,1,2,5,6,3]
[7,4,6,5,2,3,1]=>[4,7,2,5,6,1,3]
[7,4,6,5,3,1,2]=>[4,7,1,3,5,6,2]
[7,4,6,5,3,2,1]=>[4,7,1,2,3,5,6]
[7,5,1,2,3,4,6]=>[1,5,7,6,4,3,2]
[7,5,1,2,3,6,4]=>[1,5,7,4,6,3,2]
[7,5,1,2,4,3,6]=>[1,5,7,6,3,4,2]
[7,5,1,2,4,6,3]=>[1,5,7,4,3,6,2]
[7,5,1,2,6,3,4]=>[1,5,7,3,6,4,2]
[7,5,1,2,6,4,3]=>[1,5,7,3,4,6,2]
[7,5,1,3,2,4,6]=>[1,5,7,6,4,2,3]
[7,5,1,3,2,6,4]=>[1,5,7,4,6,2,3]
[7,5,1,3,4,2,6]=>[1,5,7,6,3,2,4]
[7,5,1,3,4,6,2]=>[1,5,7,4,3,2,6]
[7,5,1,3,6,2,4]=>[1,5,7,3,2,6,4]
[7,5,1,3,6,4,2]=>[1,5,7,3,2,4,6]
[7,5,1,4,2,3,6]=>[1,5,7,6,2,4,3]
[7,5,1,4,2,6,3]=>[1,5,7,2,4,3,6]
[7,5,1,4,3,2,6]=>[1,5,7,6,2,3,4]
[7,5,1,4,3,6,2]=>[1,5,7,3,4,2,6]
[7,5,1,4,6,2,3]=>[1,5,7,4,2,6,3]
[7,5,1,4,6,3,2]=>[1,5,7,4,2,3,6]
[7,5,1,6,2,3,4]=>[1,5,7,2,6,4,3]
[7,5,1,6,2,4,3]=>[1,5,7,2,6,3,4]
[7,5,1,6,3,2,4]=>[1,5,7,2,3,6,4]
[7,5,1,6,3,4,2]=>[1,5,7,3,6,2,4]
[7,5,1,6,4,2,3]=>[1,5,7,2,4,6,3]
[7,5,1,6,4,3,2]=>[1,5,7,2,3,4,6]
[7,5,2,1,3,4,6]=>[1,2,5,7,6,4,3]
[7,5,2,1,3,6,4]=>[1,2,5,7,4,6,3]
[7,5,2,1,4,3,6]=>[1,2,5,7,6,3,4]
[7,5,2,1,4,6,3]=>[1,2,5,7,4,3,6]
[7,5,2,1,6,3,4]=>[1,2,5,7,3,6,4]
[7,5,2,1,6,4,3]=>[1,2,5,7,3,4,6]
[7,5,2,3,1,4,6]=>[2,5,7,6,4,1,3]
[7,5,2,3,1,6,4]=>[2,5,7,4,6,1,3]
[7,5,2,3,4,1,6]=>[2,5,7,6,3,1,4]
[7,5,2,3,4,6,1]=>[2,5,7,4,3,1,6]
[7,5,2,3,6,1,4]=>[2,5,7,3,1,6,4]
[7,5,2,3,6,4,1]=>[2,5,7,3,1,4,6]
[7,5,2,4,1,3,6]=>[2,5,7,6,1,4,3]
[7,5,2,4,1,6,3]=>[2,5,7,1,4,3,6]
[7,5,2,4,3,1,6]=>[2,5,7,6,1,3,4]
[7,5,2,4,3,6,1]=>[2,5,7,3,4,1,6]
[7,5,2,4,6,1,3]=>[2,5,7,4,1,6,3]
[7,5,2,4,6,3,1]=>[2,5,7,4,1,3,6]
[7,5,2,6,1,3,4]=>[2,5,7,1,6,4,3]
[7,5,2,6,1,4,3]=>[2,5,7,1,6,3,4]
[7,5,2,6,3,1,4]=>[2,5,7,1,3,6,4]
[7,5,2,6,3,4,1]=>[2,5,7,3,6,1,4]
[7,5,2,6,4,1,3]=>[2,5,7,1,4,6,3]
[7,5,2,6,4,3,1]=>[2,5,7,1,3,4,6]
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]
[7,5,3,1,2,6,4]=>[1,3,5,7,4,6,2]
[7,5,3,1,4,2,6]=>[1,3,5,7,6,2,4]
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]
[7,5,3,2,1,4,6]=>[1,2,3,5,7,6,4]
[7,5,3,2,1,6,4]=>[1,2,3,5,7,4,6]
[7,5,3,2,4,1,6]=>[2,3,5,7,6,1,4]
[7,5,3,2,4,6,1]=>[2,3,5,7,4,1,6]
[7,5,3,2,6,1,4]=>[2,3,5,7,1,6,4]
[7,5,3,2,6,4,1]=>[2,3,5,7,1,4,6]
[7,5,3,4,1,2,6]=>[3,5,7,6,1,4,2]
[7,5,3,4,1,6,2]=>[3,5,7,1,4,2,6]
[7,5,3,4,2,1,6]=>[3,5,7,6,1,2,4]
[7,5,3,4,2,6,1]=>[3,5,7,2,4,1,6]
[7,5,3,4,6,1,2]=>[3,5,7,4,1,6,2]
[7,5,3,4,6,2,1]=>[3,5,7,4,1,2,6]
[7,5,3,6,1,2,4]=>[3,5,7,1,6,4,2]
[7,5,3,6,1,4,2]=>[3,5,7,1,6,2,4]
[7,5,3,6,2,1,4]=>[3,5,7,1,2,6,4]
[7,5,3,6,2,4,1]=>[3,5,7,2,6,1,4]
[7,5,3,6,4,1,2]=>[3,5,7,1,4,6,2]
[7,5,3,6,4,2,1]=>[3,5,7,1,2,4,6]
[7,5,4,1,2,3,6]=>[1,4,5,7,6,3,2]
[7,5,4,1,2,6,3]=>[1,4,5,7,3,6,2]
[7,5,4,1,3,2,6]=>[1,4,5,7,6,2,3]
[7,5,4,1,3,6,2]=>[1,4,5,7,3,2,6]
[7,5,4,1,6,2,3]=>[1,4,5,7,2,6,3]
[7,5,4,1,6,3,2]=>[1,4,5,7,2,3,6]
[7,5,4,2,1,3,6]=>[1,2,4,5,7,6,3]
[7,5,4,2,1,6,3]=>[1,2,4,5,7,3,6]
[7,5,4,2,3,1,6]=>[2,4,5,7,6,1,3]
[7,5,4,2,3,6,1]=>[2,4,5,7,3,1,6]
[7,5,4,2,6,1,3]=>[2,4,5,7,1,6,3]
[7,5,4,2,6,3,1]=>[2,4,5,7,1,3,6]
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]
[7,5,4,3,2,1,6]=>[1,2,3,4,5,7,6]
[7,5,4,3,2,6,1]=>[2,3,4,5,7,1,6]
[7,5,4,3,6,1,2]=>[3,4,5,7,1,6,2]
[7,5,4,3,6,2,1]=>[3,4,5,7,1,2,6]
[7,5,4,6,1,2,3]=>[4,5,7,1,6,3,2]
[7,5,4,6,1,3,2]=>[4,5,7,1,6,2,3]
[7,5,4,6,2,1,3]=>[4,5,7,1,2,6,3]
[7,5,4,6,2,3,1]=>[4,5,7,2,6,1,3]
[7,5,4,6,3,1,2]=>[4,5,7,1,3,6,2]
[7,5,4,6,3,2,1]=>[4,5,7,1,2,3,6]
[7,5,6,1,2,3,4]=>[5,7,1,6,4,3,2]
[7,5,6,1,2,4,3]=>[5,7,1,6,3,4,2]
[7,5,6,1,3,2,4]=>[5,7,1,6,4,2,3]
[7,5,6,1,3,4,2]=>[5,7,1,6,3,2,4]
[7,5,6,1,4,2,3]=>[5,7,1,6,2,4,3]
[7,5,6,1,4,3,2]=>[5,7,1,6,2,3,4]
[7,5,6,2,1,3,4]=>[5,7,1,2,6,4,3]
[7,5,6,2,1,4,3]=>[5,7,1,2,6,3,4]
[7,5,6,2,3,1,4]=>[5,7,2,6,4,1,3]
[7,5,6,2,3,4,1]=>[5,7,2,6,3,1,4]
[7,5,6,2,4,1,3]=>[5,7,2,6,1,4,3]
[7,5,6,2,4,3,1]=>[5,7,2,6,1,3,4]
[7,5,6,3,1,2,4]=>[5,7,1,3,6,4,2]
[7,5,6,3,1,4,2]=>[5,7,1,3,6,2,4]
[7,5,6,3,2,1,4]=>[5,7,1,2,3,6,4]
[7,5,6,3,2,4,1]=>[5,7,2,3,6,1,4]
[7,5,6,3,4,1,2]=>[5,7,3,6,1,4,2]
[7,5,6,3,4,2,1]=>[5,7,3,6,1,2,4]
[7,5,6,4,1,2,3]=>[5,7,1,4,6,3,2]
[7,5,6,4,1,3,2]=>[5,7,1,4,6,2,3]
[7,5,6,4,2,1,3]=>[5,7,1,2,4,6,3]
[7,5,6,4,2,3,1]=>[5,7,2,4,6,1,3]
[7,5,6,4,3,1,2]=>[5,7,1,3,4,6,2]
[7,5,6,4,3,2,1]=>[5,7,1,2,3,4,6]
[7,6,1,2,3,4,5]=>[1,6,7,5,4,3,2]
[7,6,1,2,3,5,4]=>[1,6,7,4,5,3,2]
[7,6,1,2,4,3,5]=>[1,6,7,5,3,4,2]
[7,6,1,2,4,5,3]=>[1,6,7,4,3,5,2]
[7,6,1,2,5,3,4]=>[1,6,7,3,5,4,2]
[7,6,1,2,5,4,3]=>[1,6,7,3,4,5,2]
[7,6,1,3,2,4,5]=>[1,6,7,5,4,2,3]
[7,6,1,3,2,5,4]=>[1,6,7,4,5,2,3]
[7,6,1,3,4,2,5]=>[1,6,7,5,3,2,4]
[7,6,1,3,4,5,2]=>[1,6,7,4,3,2,5]
[7,6,1,3,5,2,4]=>[1,6,7,3,2,5,4]
[7,6,1,3,5,4,2]=>[1,6,7,3,2,4,5]
[7,6,1,4,2,3,5]=>[1,6,7,5,2,4,3]
[7,6,1,4,2,5,3]=>[1,6,7,2,4,3,5]
[7,6,1,4,3,2,5]=>[1,6,7,5,2,3,4]
[7,6,1,4,3,5,2]=>[1,6,7,3,4,2,5]
[7,6,1,4,5,2,3]=>[1,6,7,4,2,5,3]
[7,6,1,4,5,3,2]=>[1,6,7,4,2,3,5]
[7,6,1,5,2,3,4]=>[1,6,7,2,5,4,3]
[7,6,1,5,2,4,3]=>[1,6,7,2,5,3,4]
[7,6,1,5,3,2,4]=>[1,6,7,2,3,5,4]
[7,6,1,5,3,4,2]=>[1,6,7,3,5,2,4]
[7,6,1,5,4,2,3]=>[1,6,7,2,4,5,3]
[7,6,1,5,4,3,2]=>[1,6,7,2,3,4,5]
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]
[7,6,2,1,3,5,4]=>[1,2,6,7,4,5,3]
[7,6,2,1,4,3,5]=>[1,2,6,7,5,3,4]
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]
[7,6,2,3,1,4,5]=>[2,6,7,5,4,1,3]
[7,6,2,3,1,5,4]=>[2,6,7,4,5,1,3]
[7,6,2,3,4,1,5]=>[2,6,7,5,3,1,4]
[7,6,2,3,4,5,1]=>[2,6,7,4,3,1,5]
[7,6,2,3,5,1,4]=>[2,6,7,3,1,5,4]
[7,6,2,3,5,4,1]=>[2,6,7,3,1,4,5]
[7,6,2,4,1,3,5]=>[2,6,7,5,1,4,3]
[7,6,2,4,1,5,3]=>[2,6,7,1,4,3,5]
[7,6,2,4,3,1,5]=>[2,6,7,5,1,3,4]
[7,6,2,4,3,5,1]=>[2,6,7,3,4,1,5]
[7,6,2,4,5,1,3]=>[2,6,7,4,1,5,3]
[7,6,2,4,5,3,1]=>[2,6,7,4,1,3,5]
[7,6,2,5,1,3,4]=>[2,6,7,1,5,4,3]
[7,6,2,5,1,4,3]=>[2,6,7,1,5,3,4]
[7,6,2,5,3,1,4]=>[2,6,7,1,3,5,4]
[7,6,2,5,3,4,1]=>[2,6,7,3,5,1,4]
[7,6,2,5,4,1,3]=>[2,6,7,1,4,5,3]
[7,6,2,5,4,3,1]=>[2,6,7,1,3,4,5]
[7,6,3,1,2,4,5]=>[1,3,6,7,5,4,2]
[7,6,3,1,2,5,4]=>[1,3,6,7,4,5,2]
[7,6,3,1,4,2,5]=>[1,3,6,7,5,2,4]
[7,6,3,1,4,5,2]=>[1,3,6,7,4,2,5]
[7,6,3,1,5,2,4]=>[1,3,6,7,2,5,4]
[7,6,3,1,5,4,2]=>[1,3,6,7,2,4,5]
[7,6,3,2,1,4,5]=>[1,2,3,6,7,5,4]
[7,6,3,2,1,5,4]=>[1,2,3,6,7,4,5]
[7,6,3,2,4,1,5]=>[2,3,6,7,5,1,4]
[7,6,3,2,4,5,1]=>[2,3,6,7,4,1,5]
[7,6,3,2,5,1,4]=>[2,3,6,7,1,5,4]
[7,6,3,2,5,4,1]=>[2,3,6,7,1,4,5]
[7,6,3,4,1,2,5]=>[3,6,7,5,1,4,2]
[7,6,3,4,1,5,2]=>[3,6,7,1,4,2,5]
[7,6,3,4,2,1,5]=>[3,6,7,5,1,2,4]
[7,6,3,4,2,5,1]=>[3,6,7,2,4,1,5]
[7,6,3,4,5,1,2]=>[3,6,7,4,1,5,2]
[7,6,3,4,5,2,1]=>[3,6,7,4,1,2,5]
[7,6,3,5,1,2,4]=>[3,6,7,1,5,4,2]
[7,6,3,5,1,4,2]=>[3,6,7,1,5,2,4]
[7,6,3,5,2,1,4]=>[3,6,7,1,2,5,4]
[7,6,3,5,2,4,1]=>[3,6,7,2,5,1,4]
[7,6,3,5,4,1,2]=>[3,6,7,1,4,5,2]
[7,6,3,5,4,2,1]=>[3,6,7,1,2,4,5]
[7,6,4,1,2,3,5]=>[1,4,6,7,5,3,2]
[7,6,4,1,2,5,3]=>[1,4,6,7,3,5,2]
[7,6,4,1,3,2,5]=>[1,4,6,7,5,2,3]
[7,6,4,1,3,5,2]=>[1,4,6,7,3,2,5]
[7,6,4,1,5,2,3]=>[1,4,6,7,2,5,3]
[7,6,4,1,5,3,2]=>[1,4,6,7,2,3,5]
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]
[7,6,4,2,3,1,5]=>[2,4,6,7,5,1,3]
[7,6,4,2,3,5,1]=>[2,4,6,7,3,1,5]
[7,6,4,2,5,1,3]=>[2,4,6,7,1,5,3]
[7,6,4,2,5,3,1]=>[2,4,6,7,1,3,5]
[7,6,4,3,1,2,5]=>[1,3,4,6,7,5,2]
[7,6,4,3,1,5,2]=>[1,3,4,6,7,2,5]
[7,6,4,3,2,1,5]=>[1,2,3,4,6,7,5]
[7,6,4,3,2,5,1]=>[2,3,4,6,7,1,5]
[7,6,4,3,5,1,2]=>[3,4,6,7,1,5,2]
[7,6,4,3,5,2,1]=>[3,4,6,7,1,2,5]
[7,6,4,5,1,2,3]=>[4,6,7,1,5,3,2]
[7,6,4,5,1,3,2]=>[4,6,7,1,5,2,3]
[7,6,4,5,2,1,3]=>[4,6,7,1,2,5,3]
[7,6,4,5,2,3,1]=>[4,6,7,2,5,1,3]
[7,6,4,5,3,1,2]=>[4,6,7,1,3,5,2]
[7,6,4,5,3,2,1]=>[4,6,7,1,2,3,5]
[7,6,5,1,2,3,4]=>[1,5,6,7,4,3,2]
[7,6,5,1,2,4,3]=>[1,5,6,7,3,4,2]
[7,6,5,1,3,2,4]=>[1,5,6,7,4,2,3]
[7,6,5,1,3,4,2]=>[1,5,6,7,3,2,4]
[7,6,5,1,4,2,3]=>[1,5,6,7,2,4,3]
[7,6,5,1,4,3,2]=>[1,5,6,7,2,3,4]
[7,6,5,2,1,3,4]=>[1,2,5,6,7,4,3]
[7,6,5,2,1,4,3]=>[1,2,5,6,7,3,4]
[7,6,5,2,3,1,4]=>[2,5,6,7,4,1,3]
[7,6,5,2,3,4,1]=>[2,5,6,7,3,1,4]
[7,6,5,2,4,1,3]=>[2,5,6,7,1,4,3]
[7,6,5,2,4,3,1]=>[2,5,6,7,1,3,4]
[7,6,5,3,1,2,4]=>[1,3,5,6,7,4,2]
[7,6,5,3,1,4,2]=>[1,3,5,6,7,2,4]
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]
[7,6,5,3,2,4,1]=>[2,3,5,6,7,1,4]
[7,6,5,3,4,1,2]=>[3,5,6,7,1,4,2]
[7,6,5,3,4,2,1]=>[3,5,6,7,1,2,4]
[7,6,5,4,1,2,3]=>[1,4,5,6,7,3,2]
[7,6,5,4,1,3,2]=>[1,4,5,6,7,2,3]
[7,6,5,4,2,1,3]=>[1,2,4,5,6,7,3]
[7,6,5,4,2,3,1]=>[2,4,5,6,7,1,3]
[7,6,5,4,3,1,2]=>[1,3,4,5,6,7,2]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Description
Return the reversal of the permutation obtained by inverting the corresponding Laguerre heap.
This map is the composite of Mp00241invert Laguerre heap and Mp00064reverse.
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
This map is the composite of Mp00241invert Laguerre heap and Mp00064reverse.
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
References
[1] Reading, N. Noncrossing Arc Diagrams and Canonical Join Representations DOI:10.1137/140972391 arXiv:1405.6904
[2] Barnard, E. The Canonical Join Complex DOI:10.37236/7866 arXiv:1610.05137
[3] Thomas, H., Williams, N. Rowmotion in slow motion DOI:10.1112/plms.12251 arXiv:1712.10123
[4] Hopkins, S. The CDE property for skew vexillary permutations DOI:10.1016/j.jcta.2019.06.005 arXiv:1811.02404
[5] Defant, C., Williams, N. Semidistrim Lattices DOI:10.1017/fms.2023.46 arXiv:2111.08122
[2] Barnard, E. The Canonical Join Complex DOI:10.37236/7866 arXiv:1610.05137
[3] Thomas, H., Williams, N. Rowmotion in slow motion DOI:10.1112/plms.12251 arXiv:1712.10123
[4] Hopkins, S. The CDE property for skew vexillary permutations DOI:10.1016/j.jcta.2019.06.005 arXiv:1811.02404
[5] Defant, C., Williams, N. Semidistrim Lattices DOI:10.1017/fms.2023.46 arXiv:2111.08122
Properties
bijective, graded
Sage code
def invert_laguerre_heap(pi): n = len(pi) buffer = [] heap = [] for i in range(n): if not i or pi[i-1] > pi[i]: buffer.append(pi[i]) else: heap.append(buffer[::-1]) buffer = [pi[i]] if buffer: heap.append(buffer[::-1]) heap = heap[::-1] # bubble sort pieces n = len(heap) while True: try: i = next(i for i in range(n-1) if heap[i][0] > heap[i+1][-1]) except StopIteration: break heap[i], heap[i+1] = heap[i+1], heap[i] sigma = [] while heap: m = [] i = 0 for e in heap: if (all(min(e) >= max(f) for f in m) or all(max(e) <= min(f) for f in m)): m.append(e) i += 1 else: break heap = heap[i:] for e in sorted(m, key=min): sigma.extend(e[::-1]) return Permutation(sigma) def mapping(x): return invert_laguerre_heap(x).reverse() # alternative, slow implementation, using the definition of rowmotion # note that everything here is dualized (we use dual order and take joins of upper labels) # def upper_labels(J, u): # for v in u.permutohedron_pred(): # cur_min = None # for j in J: # if ((cur_min is None # or cur_min.permutohedron_lequal(j)) # and v.permutohedron_lequal(j) # and not u.permutohedron_lequal(j)): # cur_min = j # yield cur_min # # def mapping(x): # n = len(x) # bot = Permutation(range(n, 0, -1)) # if n > 1: # J = [x for s in Subsets(range(n-1), n-2) # for x in Permutations(descents=(s, n))] # else: # J = [] # v = bot # for w in upper_labels(J, x): # v = v.permutohedron_meet(w) # return v
Weight
51
Created
Jan 29, 2025 at 16:50 by Martin Rubey
Updated
Jan 29, 2025 at 16:50 by Martin Rubey
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