Identifier
Images
=>
[1]=>[1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[1,3,2]
[2,1,3]=>[2,1,3]
[2,3,1]=>[3,2,1]
[3,1,2]=>[3,1,2]
[3,2,1]=>[2,3,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[1,2,4,3]
[1,3,2,4]=>[1,3,2,4]
[1,3,4,2]=>[1,4,3,2]
[1,4,2,3]=>[1,4,2,3]
[1,4,3,2]=>[1,3,4,2]
[2,1,3,4]=>[2,1,3,4]
[2,1,4,3]=>[2,1,4,3]
[2,3,1,4]=>[3,2,1,4]
[2,3,4,1]=>[4,3,2,1]
[2,4,1,3]=>[4,2,1,3]
[2,4,3,1]=>[3,4,2,1]
[3,1,2,4]=>[3,1,2,4]
[3,1,4,2]=>[4,3,1,2]
[3,2,1,4]=>[2,3,1,4]
[3,2,4,1]=>[2,4,3,1]
[3,4,1,2]=>[4,1,3,2]
[3,4,2,1]=>[4,2,3,1]
[4,1,2,3]=>[4,1,2,3]
[4,1,3,2]=>[3,4,1,2]
[4,2,1,3]=>[2,4,1,3]
[4,2,3,1]=>[2,3,4,1]
[4,3,1,2]=>[3,1,4,2]
[4,3,2,1]=>[3,2,4,1]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[1,2,3,5,4]
[1,2,4,3,5]=>[1,2,4,3,5]
[1,2,4,5,3]=>[1,2,5,4,3]
[1,2,5,3,4]=>[1,2,5,3,4]
[1,2,5,4,3]=>[1,2,4,5,3]
[1,3,2,4,5]=>[1,3,2,4,5]
[1,3,2,5,4]=>[1,3,2,5,4]
[1,3,4,2,5]=>[1,4,3,2,5]
[1,3,4,5,2]=>[1,5,4,3,2]
[1,3,5,2,4]=>[1,5,3,2,4]
[1,3,5,4,2]=>[1,4,5,3,2]
[1,4,2,3,5]=>[1,4,2,3,5]
[1,4,2,5,3]=>[1,5,4,2,3]
[1,4,3,2,5]=>[1,3,4,2,5]
[1,4,3,5,2]=>[1,3,5,4,2]
[1,4,5,2,3]=>[1,5,2,4,3]
[1,4,5,3,2]=>[1,5,3,4,2]
[1,5,2,3,4]=>[1,5,2,3,4]
[1,5,2,4,3]=>[1,4,5,2,3]
[1,5,3,2,4]=>[1,3,5,2,4]
[1,5,3,4,2]=>[1,3,4,5,2]
[1,5,4,2,3]=>[1,4,2,5,3]
[1,5,4,3,2]=>[1,4,3,5,2]
[2,1,3,4,5]=>[2,1,3,4,5]
[2,1,3,5,4]=>[2,1,3,5,4]
[2,1,4,3,5]=>[2,1,4,3,5]
[2,1,4,5,3]=>[2,1,5,4,3]
[2,1,5,3,4]=>[2,1,5,3,4]
[2,1,5,4,3]=>[2,1,4,5,3]
[2,3,1,4,5]=>[3,2,1,4,5]
[2,3,1,5,4]=>[3,2,1,5,4]
[2,3,4,1,5]=>[4,3,2,1,5]
[2,3,4,5,1]=>[5,4,3,2,1]
[2,3,5,1,4]=>[5,3,2,1,4]
[2,3,5,4,1]=>[4,5,3,2,1]
[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,5,3]=>[5,4,2,1,3]
[2,4,3,1,5]=>[3,4,2,1,5]
[2,4,3,5,1]=>[3,5,4,2,1]
[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,3,1]=>[5,3,4,2,1]
[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,4,3]=>[4,5,2,1,3]
[2,5,3,1,4]=>[3,5,2,1,4]
[2,5,3,4,1]=>[3,4,5,2,1]
[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,3,1]=>[4,3,5,2,1]
[3,1,2,4,5]=>[3,1,2,4,5]
[3,1,2,5,4]=>[3,1,2,5,4]
[3,1,4,2,5]=>[4,3,1,2,5]
[3,1,4,5,2]=>[5,4,3,1,2]
[3,1,5,2,4]=>[5,3,1,2,4]
[3,1,5,4,2]=>[4,5,3,1,2]
[3,2,1,4,5]=>[2,3,1,4,5]
[3,2,1,5,4]=>[2,3,1,5,4]
[3,2,4,1,5]=>[2,4,3,1,5]
[3,2,4,5,1]=>[2,5,4,3,1]
[3,2,5,1,4]=>[2,5,3,1,4]
[3,2,5,4,1]=>[2,4,5,3,1]
[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,5,2]=>[5,4,1,3,2]
[3,4,2,1,5]=>[4,2,3,1,5]
[3,4,2,5,1]=>[5,4,2,3,1]
[3,4,5,1,2]=>[5,1,4,3,2]
[3,4,5,2,1]=>[5,2,4,3,1]
[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,4,2]=>[4,5,1,3,2]
[3,5,2,1,4]=>[5,2,3,1,4]
[3,5,2,4,1]=>[4,5,2,3,1]
[3,5,4,1,2]=>[4,1,5,3,2]
[3,5,4,2,1]=>[4,2,5,3,1]
[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,5,3]=>[5,4,1,2,3]
[4,1,3,2,5]=>[3,4,1,2,5]
[4,1,3,5,2]=>[3,5,4,1,2]
[4,1,5,2,3]=>[5,1,2,4,3]
[4,1,5,3,2]=>[5,3,4,1,2]
[4,2,1,3,5]=>[2,4,1,3,5]
[4,2,1,5,3]=>[2,5,4,1,3]
[4,2,3,1,5]=>[2,3,4,1,5]
[4,2,3,5,1]=>[2,3,5,4,1]
[4,2,5,1,3]=>[2,5,1,4,3]
[4,2,5,3,1]=>[2,5,3,4,1]
[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,5,2]=>[3,1,5,4,2]
[4,3,2,1,5]=>[3,2,4,1,5]
[4,3,2,5,1]=>[3,2,5,4,1]
[4,3,5,1,2]=>[5,3,1,4,2]
[4,3,5,2,1]=>[5,3,2,4,1]
[4,5,1,2,3]=>[5,1,4,2,3]
[4,5,1,3,2]=>[5,1,3,4,2]
[4,5,2,1,3]=>[5,2,4,1,3]
[4,5,2,3,1]=>[5,2,3,4,1]
[4,5,3,1,2]=>[3,5,1,4,2]
[4,5,3,2,1]=>[3,5,2,4,1]
[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,4,3]=>[4,5,1,2,3]
[5,1,3,2,4]=>[3,5,1,2,4]
[5,1,3,4,2]=>[3,4,5,1,2]
[5,1,4,2,3]=>[4,1,2,5,3]
[5,1,4,3,2]=>[4,3,5,1,2]
[5,2,1,3,4]=>[2,5,1,3,4]
[5,2,1,4,3]=>[2,4,5,1,3]
[5,2,3,1,4]=>[2,3,5,1,4]
[5,2,3,4,1]=>[2,3,4,5,1]
[5,2,4,1,3]=>[2,4,1,5,3]
[5,2,4,3,1]=>[2,4,3,5,1]
[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,4,2]=>[3,1,4,5,2]
[5,3,2,1,4]=>[3,2,5,1,4]
[5,3,2,4,1]=>[3,2,4,5,1]
[5,3,4,1,2]=>[4,3,1,5,2]
[5,3,4,2,1]=>[4,3,2,5,1]
[5,4,1,2,3]=>[4,1,5,2,3]
[5,4,1,3,2]=>[4,1,3,5,2]
[5,4,2,1,3]=>[4,2,5,1,3]
[5,4,2,3,1]=>[4,2,3,5,1]
[5,4,3,1,2]=>[3,4,1,5,2]
[5,4,3,2,1]=>[3,4,2,5,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[1,2,4,5,6,3]=>[1,2,6,5,4,3]
[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[1,2,4,6,5,3]=>[1,2,5,6,4,3]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[1,2,5,3,6,4]=>[1,2,6,5,3,4]
[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[1,2,5,4,6,3]=>[1,2,4,6,5,3]
[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[1,2,5,6,4,3]=>[1,2,6,4,5,3]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[1,2,6,3,5,4]=>[1,2,5,6,3,4]
[1,2,6,4,3,5]=>[1,2,4,6,3,5]
[1,2,6,4,5,3]=>[1,2,4,5,6,3]
[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[1,2,6,5,4,3]=>[1,2,5,4,6,3]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[1,3,2,5,6,4]=>[1,3,2,6,5,4]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[1,3,2,6,5,4]=>[1,3,2,5,6,4]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]
[1,3,4,5,2,6]=>[1,5,4,3,2,6]
[1,3,4,5,6,2]=>[1,6,5,4,3,2]
[1,3,4,6,2,5]=>[1,6,4,3,2,5]
[1,3,4,6,5,2]=>[1,5,6,4,3,2]
[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[1,3,5,2,6,4]=>[1,6,5,3,2,4]
[1,3,5,4,2,6]=>[1,4,5,3,2,6]
[1,3,5,4,6,2]=>[1,4,6,5,3,2]
[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[1,3,5,6,4,2]=>[1,6,4,5,3,2]
[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[1,3,6,2,5,4]=>[1,5,6,3,2,4]
[1,3,6,4,2,5]=>[1,4,6,3,2,5]
[1,3,6,4,5,2]=>[1,4,5,6,3,2]
[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[1,3,6,5,4,2]=>[1,5,4,6,3,2]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[1,4,2,5,3,6]=>[1,5,4,2,3,6]
[1,4,2,5,6,3]=>[1,6,5,4,2,3]
[1,4,2,6,3,5]=>[1,6,4,2,3,5]
[1,4,2,6,5,3]=>[1,5,6,4,2,3]
[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[1,4,3,2,6,5]=>[1,3,4,2,6,5]
[1,4,3,5,2,6]=>[1,3,5,4,2,6]
[1,4,3,5,6,2]=>[1,3,6,5,4,2]
[1,4,3,6,2,5]=>[1,3,6,4,2,5]
[1,4,3,6,5,2]=>[1,3,5,6,4,2]
[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[1,4,5,2,6,3]=>[1,6,5,2,4,3]
[1,4,5,3,2,6]=>[1,5,3,4,2,6]
[1,4,5,3,6,2]=>[1,6,5,3,4,2]
[1,4,5,6,2,3]=>[1,6,2,5,4,3]
[1,4,5,6,3,2]=>[1,6,3,5,4,2]
[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[1,4,6,2,5,3]=>[1,5,6,2,4,3]
[1,4,6,3,2,5]=>[1,6,3,4,2,5]
[1,4,6,3,5,2]=>[1,5,6,3,4,2]
[1,4,6,5,2,3]=>[1,5,2,6,4,3]
[1,4,6,5,3,2]=>[1,5,3,6,4,2]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[1,5,2,3,6,4]=>[1,6,5,2,3,4]
[1,5,2,4,3,6]=>[1,4,5,2,3,6]
[1,5,2,4,6,3]=>[1,4,6,5,2,3]
[1,5,2,6,3,4]=>[1,6,2,3,5,4]
[1,5,2,6,4,3]=>[1,6,4,5,2,3]
[1,5,3,2,4,6]=>[1,3,5,2,4,6]
[1,5,3,2,6,4]=>[1,3,6,5,2,4]
[1,5,3,4,2,6]=>[1,3,4,5,2,6]
[1,5,3,4,6,2]=>[1,3,4,6,5,2]
[1,5,3,6,2,4]=>[1,3,6,2,5,4]
[1,5,3,6,4,2]=>[1,3,6,4,5,2]
[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[1,5,4,2,6,3]=>[1,4,2,6,5,3]
[1,5,4,3,2,6]=>[1,4,3,5,2,6]
[1,5,4,3,6,2]=>[1,4,3,6,5,2]
[1,5,4,6,2,3]=>[1,6,4,2,5,3]
[1,5,4,6,3,2]=>[1,6,4,3,5,2]
[1,5,6,2,3,4]=>[1,6,2,5,3,4]
[1,5,6,2,4,3]=>[1,6,2,4,5,3]
[1,5,6,3,2,4]=>[1,6,3,5,2,4]
[1,5,6,3,4,2]=>[1,6,3,4,5,2]
[1,5,6,4,2,3]=>[1,4,6,2,5,3]
[1,5,6,4,3,2]=>[1,4,6,3,5,2]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[1,6,2,3,5,4]=>[1,5,6,2,3,4]
[1,6,2,4,3,5]=>[1,4,6,2,3,5]
[1,6,2,4,5,3]=>[1,4,5,6,2,3]
[1,6,2,5,3,4]=>[1,5,2,3,6,4]
[1,6,2,5,4,3]=>[1,5,4,6,2,3]
[1,6,3,2,4,5]=>[1,3,6,2,4,5]
[1,6,3,2,5,4]=>[1,3,5,6,2,4]
[1,6,3,4,2,5]=>[1,3,4,6,2,5]
[1,6,3,4,5,2]=>[1,3,4,5,6,2]
[1,6,3,5,2,4]=>[1,3,5,2,6,4]
[1,6,3,5,4,2]=>[1,3,5,4,6,2]
[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[1,6,4,2,5,3]=>[1,4,2,5,6,3]
[1,6,4,3,2,5]=>[1,4,3,6,2,5]
[1,6,4,3,5,2]=>[1,4,3,5,6,2]
[1,6,4,5,2,3]=>[1,5,4,2,6,3]
[1,6,4,5,3,2]=>[1,5,4,3,6,2]
[1,6,5,2,3,4]=>[1,5,2,6,3,4]
[1,6,5,2,4,3]=>[1,5,2,4,6,3]
[1,6,5,3,2,4]=>[1,5,3,6,2,4]
[1,6,5,3,4,2]=>[1,5,3,4,6,2]
[1,6,5,4,2,3]=>[1,4,5,2,6,3]
[1,6,5,4,3,2]=>[1,4,5,3,6,2]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]
[2,1,3,6,4,5]=>[2,1,3,6,4,5]
[2,1,3,6,5,4]=>[2,1,3,5,6,4]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]
[2,1,4,5,3,6]=>[2,1,5,4,3,6]
[2,1,4,5,6,3]=>[2,1,6,5,4,3]
[2,1,4,6,3,5]=>[2,1,6,4,3,5]
[2,1,4,6,5,3]=>[2,1,5,6,4,3]
[2,1,5,3,4,6]=>[2,1,5,3,4,6]
[2,1,5,3,6,4]=>[2,1,6,5,3,4]
[2,1,5,4,3,6]=>[2,1,4,5,3,6]
[2,1,5,4,6,3]=>[2,1,4,6,5,3]
[2,1,5,6,3,4]=>[2,1,6,3,5,4]
[2,1,5,6,4,3]=>[2,1,6,4,5,3]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]
[2,1,6,3,5,4]=>[2,1,5,6,3,4]
[2,1,6,4,3,5]=>[2,1,4,6,3,5]
[2,1,6,4,5,3]=>[2,1,4,5,6,3]
[2,1,6,5,3,4]=>[2,1,5,3,6,4]
[2,1,6,5,4,3]=>[2,1,5,4,6,3]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]
[2,3,1,6,4,5]=>[3,2,1,6,4,5]
[2,3,1,6,5,4]=>[3,2,1,5,6,4]
[2,3,4,1,5,6]=>[4,3,2,1,5,6]
[2,3,4,1,6,5]=>[4,3,2,1,6,5]
[2,3,4,5,1,6]=>[5,4,3,2,1,6]
[2,3,4,5,6,1]=>[6,5,4,3,2,1]
[2,3,4,6,1,5]=>[6,4,3,2,1,5]
[2,3,4,6,5,1]=>[5,6,4,3,2,1]
[2,3,5,1,4,6]=>[5,3,2,1,4,6]
[2,3,5,1,6,4]=>[6,5,3,2,1,4]
[2,3,5,4,1,6]=>[4,5,3,2,1,6]
[2,3,5,4,6,1]=>[4,6,5,3,2,1]
[2,3,5,6,1,4]=>[6,3,2,1,5,4]
[2,3,5,6,4,1]=>[6,4,5,3,2,1]
[2,3,6,1,4,5]=>[6,3,2,1,4,5]
[2,3,6,1,5,4]=>[5,6,3,2,1,4]
[2,3,6,4,1,5]=>[4,6,3,2,1,5]
[2,3,6,4,5,1]=>[4,5,6,3,2,1]
[2,3,6,5,1,4]=>[5,3,2,1,6,4]
[2,3,6,5,4,1]=>[5,4,6,3,2,1]
[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[2,4,1,3,6,5]=>[4,2,1,3,6,5]
[2,4,1,5,3,6]=>[5,4,2,1,3,6]
[2,4,1,5,6,3]=>[6,5,4,2,1,3]
[2,4,1,6,3,5]=>[6,4,2,1,3,5]
[2,4,1,6,5,3]=>[5,6,4,2,1,3]
[2,4,3,1,5,6]=>[3,4,2,1,5,6]
[2,4,3,1,6,5]=>[3,4,2,1,6,5]
[2,4,3,5,1,6]=>[3,5,4,2,1,6]
[2,4,3,5,6,1]=>[3,6,5,4,2,1]
[2,4,3,6,1,5]=>[3,6,4,2,1,5]
[2,4,3,6,5,1]=>[3,5,6,4,2,1]
[2,4,5,1,3,6]=>[5,2,1,4,3,6]
[2,4,5,1,6,3]=>[6,5,2,1,4,3]
[2,4,5,3,1,6]=>[5,3,4,2,1,6]
[2,4,5,3,6,1]=>[6,5,3,4,2,1]
[2,4,5,6,1,3]=>[6,2,1,5,4,3]
[2,4,5,6,3,1]=>[6,3,5,4,2,1]
[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[2,4,6,1,5,3]=>[5,6,2,1,4,3]
[2,4,6,3,1,5]=>[6,3,4,2,1,5]
[2,4,6,3,5,1]=>[5,6,3,4,2,1]
[2,4,6,5,1,3]=>[5,2,1,6,4,3]
[2,4,6,5,3,1]=>[5,3,6,4,2,1]
[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[2,5,1,3,6,4]=>[6,5,2,1,3,4]
[2,5,1,4,3,6]=>[4,5,2,1,3,6]
[2,5,1,4,6,3]=>[4,6,5,2,1,3]
[2,5,1,6,3,4]=>[6,2,1,3,5,4]
[2,5,1,6,4,3]=>[6,4,5,2,1,3]
[2,5,3,1,4,6]=>[3,5,2,1,4,6]
[2,5,3,1,6,4]=>[3,6,5,2,1,4]
[2,5,3,4,1,6]=>[3,4,5,2,1,6]
[2,5,3,4,6,1]=>[3,4,6,5,2,1]
[2,5,3,6,1,4]=>[3,6,2,1,5,4]
[2,5,3,6,4,1]=>[3,6,4,5,2,1]
[2,5,4,1,3,6]=>[4,2,1,5,3,6]
[2,5,4,1,6,3]=>[4,2,1,6,5,3]
[2,5,4,3,1,6]=>[4,3,5,2,1,6]
[2,5,4,3,6,1]=>[4,3,6,5,2,1]
[2,5,4,6,1,3]=>[6,4,2,1,5,3]
[2,5,4,6,3,1]=>[6,4,3,5,2,1]
[2,5,6,1,3,4]=>[6,2,1,5,3,4]
[2,5,6,1,4,3]=>[6,2,1,4,5,3]
[2,5,6,3,1,4]=>[6,3,5,2,1,4]
[2,5,6,3,4,1]=>[6,3,4,5,2,1]
[2,5,6,4,1,3]=>[4,6,2,1,5,3]
[2,5,6,4,3,1]=>[4,6,3,5,2,1]
[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[2,6,1,3,5,4]=>[5,6,2,1,3,4]
[2,6,1,4,3,5]=>[4,6,2,1,3,5]
[2,6,1,4,5,3]=>[4,5,6,2,1,3]
[2,6,1,5,3,4]=>[5,2,1,3,6,4]
[2,6,1,5,4,3]=>[5,4,6,2,1,3]
[2,6,3,1,4,5]=>[3,6,2,1,4,5]
[2,6,3,1,5,4]=>[3,5,6,2,1,4]
[2,6,3,4,1,5]=>[3,4,6,2,1,5]
[2,6,3,4,5,1]=>[3,4,5,6,2,1]
[2,6,3,5,1,4]=>[3,5,2,1,6,4]
[2,6,3,5,4,1]=>[3,5,4,6,2,1]
[2,6,4,1,3,5]=>[4,2,1,6,3,5]
[2,6,4,1,5,3]=>[4,2,1,5,6,3]
[2,6,4,3,1,5]=>[4,3,6,2,1,5]
[2,6,4,3,5,1]=>[4,3,5,6,2,1]
[2,6,4,5,1,3]=>[5,4,2,1,6,3]
[2,6,4,5,3,1]=>[5,4,3,6,2,1]
[2,6,5,1,3,4]=>[5,2,1,6,3,4]
[2,6,5,1,4,3]=>[5,2,1,4,6,3]
[2,6,5,3,1,4]=>[5,3,6,2,1,4]
[2,6,5,3,4,1]=>[5,3,4,6,2,1]
[2,6,5,4,1,3]=>[4,5,2,1,6,3]
[2,6,5,4,3,1]=>[4,5,3,6,2,1]
[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[3,1,2,4,6,5]=>[3,1,2,4,6,5]
[3,1,2,5,4,6]=>[3,1,2,5,4,6]
[3,1,2,5,6,4]=>[3,1,2,6,5,4]
[3,1,2,6,4,5]=>[3,1,2,6,4,5]
[3,1,2,6,5,4]=>[3,1,2,5,6,4]
[3,1,4,2,5,6]=>[4,3,1,2,5,6]
[3,1,4,2,6,5]=>[4,3,1,2,6,5]
[3,1,4,5,2,6]=>[5,4,3,1,2,6]
[3,1,4,5,6,2]=>[6,5,4,3,1,2]
[3,1,4,6,2,5]=>[6,4,3,1,2,5]
[3,1,4,6,5,2]=>[5,6,4,3,1,2]
[3,1,5,2,4,6]=>[5,3,1,2,4,6]
[3,1,5,2,6,4]=>[6,5,3,1,2,4]
[3,1,5,4,2,6]=>[4,5,3,1,2,6]
[3,1,5,4,6,2]=>[4,6,5,3,1,2]
[3,1,5,6,2,4]=>[6,3,1,2,5,4]
[3,1,5,6,4,2]=>[6,4,5,3,1,2]
[3,1,6,2,4,5]=>[6,3,1,2,4,5]
[3,1,6,2,5,4]=>[5,6,3,1,2,4]
[3,1,6,4,2,5]=>[4,6,3,1,2,5]
[3,1,6,4,5,2]=>[4,5,6,3,1,2]
[3,1,6,5,2,4]=>[5,3,1,2,6,4]
[3,1,6,5,4,2]=>[5,4,6,3,1,2]
[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[3,2,1,4,6,5]=>[2,3,1,4,6,5]
[3,2,1,5,4,6]=>[2,3,1,5,4,6]
[3,2,1,5,6,4]=>[2,3,1,6,5,4]
[3,2,1,6,4,5]=>[2,3,1,6,4,5]
[3,2,1,6,5,4]=>[2,3,1,5,6,4]
[3,2,4,1,5,6]=>[2,4,3,1,5,6]
[3,2,4,1,6,5]=>[2,4,3,1,6,5]
[3,2,4,5,1,6]=>[2,5,4,3,1,6]
[3,2,4,5,6,1]=>[2,6,5,4,3,1]
[3,2,4,6,1,5]=>[2,6,4,3,1,5]
[3,2,4,6,5,1]=>[2,5,6,4,3,1]
[3,2,5,1,4,6]=>[2,5,3,1,4,6]
[3,2,5,1,6,4]=>[2,6,5,3,1,4]
[3,2,5,4,1,6]=>[2,4,5,3,1,6]
[3,2,5,4,6,1]=>[2,4,6,5,3,1]
[3,2,5,6,1,4]=>[2,6,3,1,5,4]
[3,2,5,6,4,1]=>[2,6,4,5,3,1]
[3,2,6,1,4,5]=>[2,6,3,1,4,5]
[3,2,6,1,5,4]=>[2,5,6,3,1,4]
[3,2,6,4,1,5]=>[2,4,6,3,1,5]
[3,2,6,4,5,1]=>[2,4,5,6,3,1]
[3,2,6,5,1,4]=>[2,5,3,1,6,4]
[3,2,6,5,4,1]=>[2,5,4,6,3,1]
[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[3,4,1,2,6,5]=>[4,1,3,2,6,5]
[3,4,1,5,2,6]=>[5,4,1,3,2,6]
[3,4,1,5,6,2]=>[6,5,4,1,3,2]
[3,4,1,6,2,5]=>[6,4,1,3,2,5]
[3,4,1,6,5,2]=>[5,6,4,1,3,2]
[3,4,2,1,5,6]=>[4,2,3,1,5,6]
[3,4,2,1,6,5]=>[4,2,3,1,6,5]
[3,4,2,5,1,6]=>[5,4,2,3,1,6]
[3,4,2,5,6,1]=>[6,5,4,2,3,1]
[3,4,2,6,1,5]=>[6,4,2,3,1,5]
[3,4,2,6,5,1]=>[5,6,4,2,3,1]
[3,4,5,1,2,6]=>[5,1,4,3,2,6]
[3,4,5,1,6,2]=>[6,5,1,4,3,2]
[3,4,5,2,1,6]=>[5,2,4,3,1,6]
[3,4,5,2,6,1]=>[6,5,2,4,3,1]
[3,4,5,6,1,2]=>[6,1,5,4,3,2]
[3,4,5,6,2,1]=>[6,2,5,4,3,1]
[3,4,6,1,2,5]=>[6,1,4,3,2,5]
[3,4,6,1,5,2]=>[5,6,1,4,3,2]
[3,4,6,2,1,5]=>[6,2,4,3,1,5]
[3,4,6,2,5,1]=>[5,6,2,4,3,1]
[3,4,6,5,1,2]=>[5,1,6,4,3,2]
[3,4,6,5,2,1]=>[5,2,6,4,3,1]
[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[3,5,1,2,6,4]=>[6,5,1,3,2,4]
[3,5,1,4,2,6]=>[4,5,1,3,2,6]
[3,5,1,4,6,2]=>[4,6,5,1,3,2]
[3,5,1,6,2,4]=>[6,1,3,2,5,4]
[3,5,1,6,4,2]=>[6,4,5,1,3,2]
[3,5,2,1,4,6]=>[5,2,3,1,4,6]
[3,5,2,1,6,4]=>[6,5,2,3,1,4]
[3,5,2,4,1,6]=>[4,5,2,3,1,6]
[3,5,2,4,6,1]=>[4,6,5,2,3,1]
[3,5,2,6,1,4]=>[6,2,3,1,5,4]
[3,5,2,6,4,1]=>[6,4,5,2,3,1]
[3,5,4,1,2,6]=>[4,1,5,3,2,6]
[3,5,4,1,6,2]=>[4,1,6,5,3,2]
[3,5,4,2,1,6]=>[4,2,5,3,1,6]
[3,5,4,2,6,1]=>[4,2,6,5,3,1]
[3,5,4,6,1,2]=>[6,4,1,5,3,2]
[3,5,4,6,2,1]=>[6,4,2,5,3,1]
[3,5,6,1,2,4]=>[6,1,5,3,2,4]
[3,5,6,1,4,2]=>[6,1,4,5,3,2]
[3,5,6,2,1,4]=>[6,2,5,3,1,4]
[3,5,6,2,4,1]=>[6,2,4,5,3,1]
[3,5,6,4,1,2]=>[4,6,1,5,3,2]
[3,5,6,4,2,1]=>[4,6,2,5,3,1]
[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[3,6,1,2,5,4]=>[5,6,1,3,2,4]
[3,6,1,4,2,5]=>[4,6,1,3,2,5]
[3,6,1,4,5,2]=>[4,5,6,1,3,2]
[3,6,1,5,2,4]=>[5,1,3,2,6,4]
[3,6,1,5,4,2]=>[5,4,6,1,3,2]
[3,6,2,1,4,5]=>[6,2,3,1,4,5]
[3,6,2,1,5,4]=>[5,6,2,3,1,4]
[3,6,2,4,1,5]=>[4,6,2,3,1,5]
[3,6,2,4,5,1]=>[4,5,6,2,3,1]
[3,6,2,5,1,4]=>[5,2,3,1,6,4]
[3,6,2,5,4,1]=>[5,4,6,2,3,1]
[3,6,4,1,2,5]=>[4,1,6,3,2,5]
[3,6,4,1,5,2]=>[4,1,5,6,3,2]
[3,6,4,2,1,5]=>[4,2,6,3,1,5]
[3,6,4,2,5,1]=>[4,2,5,6,3,1]
[3,6,4,5,1,2]=>[5,4,1,6,3,2]
[3,6,4,5,2,1]=>[5,4,2,6,3,1]
[3,6,5,1,2,4]=>[5,1,6,3,2,4]
[3,6,5,1,4,2]=>[5,1,4,6,3,2]
[3,6,5,2,1,4]=>[5,2,6,3,1,4]
[3,6,5,2,4,1]=>[5,2,4,6,3,1]
[3,6,5,4,1,2]=>[4,5,1,6,3,2]
[3,6,5,4,2,1]=>[4,5,2,6,3,1]
[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[4,1,2,3,6,5]=>[4,1,2,3,6,5]
[4,1,2,5,3,6]=>[5,4,1,2,3,6]
[4,1,2,5,6,3]=>[6,5,4,1,2,3]
[4,1,2,6,3,5]=>[6,4,1,2,3,5]
[4,1,2,6,5,3]=>[5,6,4,1,2,3]
[4,1,3,2,5,6]=>[3,4,1,2,5,6]
[4,1,3,2,6,5]=>[3,4,1,2,6,5]
[4,1,3,5,2,6]=>[3,5,4,1,2,6]
[4,1,3,5,6,2]=>[3,6,5,4,1,2]
[4,1,3,6,2,5]=>[3,6,4,1,2,5]
[4,1,3,6,5,2]=>[3,5,6,4,1,2]
[4,1,5,2,3,6]=>[5,1,2,4,3,6]
[4,1,5,2,6,3]=>[6,5,1,2,4,3]
[4,1,5,3,2,6]=>[5,3,4,1,2,6]
[4,1,5,3,6,2]=>[6,5,3,4,1,2]
[4,1,5,6,2,3]=>[6,1,2,5,4,3]
[4,1,5,6,3,2]=>[6,3,5,4,1,2]
[4,1,6,2,3,5]=>[6,1,2,4,3,5]
[4,1,6,2,5,3]=>[5,6,1,2,4,3]
[4,1,6,3,2,5]=>[6,3,4,1,2,5]
[4,1,6,3,5,2]=>[5,6,3,4,1,2]
[4,1,6,5,2,3]=>[5,1,2,6,4,3]
[4,1,6,5,3,2]=>[5,3,6,4,1,2]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[4,2,1,3,6,5]=>[2,4,1,3,6,5]
[4,2,1,5,3,6]=>[2,5,4,1,3,6]
[4,2,1,5,6,3]=>[2,6,5,4,1,3]
[4,2,1,6,3,5]=>[2,6,4,1,3,5]
[4,2,1,6,5,3]=>[2,5,6,4,1,3]
[4,2,3,1,5,6]=>[2,3,4,1,5,6]
[4,2,3,1,6,5]=>[2,3,4,1,6,5]
[4,2,3,5,1,6]=>[2,3,5,4,1,6]
[4,2,3,5,6,1]=>[2,3,6,5,4,1]
[4,2,3,6,1,5]=>[2,3,6,4,1,5]
[4,2,3,6,5,1]=>[2,3,5,6,4,1]
[4,2,5,1,3,6]=>[2,5,1,4,3,6]
[4,2,5,1,6,3]=>[2,6,5,1,4,3]
[4,2,5,3,1,6]=>[2,5,3,4,1,6]
[4,2,5,3,6,1]=>[2,6,5,3,4,1]
[4,2,5,6,1,3]=>[2,6,1,5,4,3]
[4,2,5,6,3,1]=>[2,6,3,5,4,1]
[4,2,6,1,3,5]=>[2,6,1,4,3,5]
[4,2,6,1,5,3]=>[2,5,6,1,4,3]
[4,2,6,3,1,5]=>[2,6,3,4,1,5]
[4,2,6,3,5,1]=>[2,5,6,3,4,1]
[4,2,6,5,1,3]=>[2,5,1,6,4,3]
[4,2,6,5,3,1]=>[2,5,3,6,4,1]
[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[4,3,1,2,6,5]=>[3,1,4,2,6,5]
[4,3,1,5,2,6]=>[3,1,5,4,2,6]
[4,3,1,5,6,2]=>[3,1,6,5,4,2]
[4,3,1,6,2,5]=>[3,1,6,4,2,5]
[4,3,1,6,5,2]=>[3,1,5,6,4,2]
[4,3,2,1,5,6]=>[3,2,4,1,5,6]
[4,3,2,1,6,5]=>[3,2,4,1,6,5]
[4,3,2,5,1,6]=>[3,2,5,4,1,6]
[4,3,2,5,6,1]=>[3,2,6,5,4,1]
[4,3,2,6,1,5]=>[3,2,6,4,1,5]
[4,3,2,6,5,1]=>[3,2,5,6,4,1]
[4,3,5,1,2,6]=>[5,3,1,4,2,6]
[4,3,5,1,6,2]=>[6,5,3,1,4,2]
[4,3,5,2,1,6]=>[5,3,2,4,1,6]
[4,3,5,2,6,1]=>[6,5,3,2,4,1]
[4,3,5,6,1,2]=>[6,3,1,5,4,2]
[4,3,5,6,2,1]=>[6,3,2,5,4,1]
[4,3,6,1,2,5]=>[6,3,1,4,2,5]
[4,3,6,1,5,2]=>[5,6,3,1,4,2]
[4,3,6,2,1,5]=>[6,3,2,4,1,5]
[4,3,6,2,5,1]=>[5,6,3,2,4,1]
[4,3,6,5,1,2]=>[5,3,1,6,4,2]
[4,3,6,5,2,1]=>[5,3,2,6,4,1]
[4,5,1,2,3,6]=>[5,1,4,2,3,6]
[4,5,1,2,6,3]=>[6,5,1,4,2,3]
[4,5,1,3,2,6]=>[5,1,3,4,2,6]
[4,5,1,3,6,2]=>[6,5,1,3,4,2]
[4,5,1,6,2,3]=>[6,1,5,4,2,3]
[4,5,1,6,3,2]=>[6,1,3,5,4,2]
[4,5,2,1,3,6]=>[5,2,4,1,3,6]
[4,5,2,1,6,3]=>[6,5,2,4,1,3]
[4,5,2,3,1,6]=>[5,2,3,4,1,6]
[4,5,2,3,6,1]=>[6,5,2,3,4,1]
[4,5,2,6,1,3]=>[6,2,5,4,1,3]
[4,5,2,6,3,1]=>[6,2,3,5,4,1]
[4,5,3,1,2,6]=>[3,5,1,4,2,6]
[4,5,3,1,6,2]=>[3,6,5,1,4,2]
[4,5,3,2,1,6]=>[3,5,2,4,1,6]
[4,5,3,2,6,1]=>[3,6,5,2,4,1]
[4,5,3,6,1,2]=>[3,6,1,5,4,2]
[4,5,3,6,2,1]=>[3,6,2,5,4,1]
[4,5,6,1,2,3]=>[6,1,5,2,4,3]
[4,5,6,1,3,2]=>[6,1,5,3,4,2]
[4,5,6,2,1,3]=>[6,2,5,1,4,3]
[4,5,6,2,3,1]=>[6,2,5,3,4,1]
[4,5,6,3,1,2]=>[6,3,5,1,4,2]
[4,5,6,3,2,1]=>[6,3,5,2,4,1]
[4,6,1,2,3,5]=>[6,1,4,2,3,5]
[4,6,1,2,5,3]=>[5,6,1,4,2,3]
[4,6,1,3,2,5]=>[6,1,3,4,2,5]
[4,6,1,3,5,2]=>[5,6,1,3,4,2]
[4,6,1,5,2,3]=>[5,1,6,4,2,3]
[4,6,1,5,3,2]=>[5,1,3,6,4,2]
[4,6,2,1,3,5]=>[6,2,4,1,3,5]
[4,6,2,1,5,3]=>[5,6,2,4,1,3]
[4,6,2,3,1,5]=>[6,2,3,4,1,5]
[4,6,2,3,5,1]=>[5,6,2,3,4,1]
[4,6,2,5,1,3]=>[5,2,6,4,1,3]
[4,6,2,5,3,1]=>[5,2,3,6,4,1]
[4,6,3,1,2,5]=>[3,6,1,4,2,5]
[4,6,3,1,5,2]=>[3,5,6,1,4,2]
[4,6,3,2,1,5]=>[3,6,2,4,1,5]
[4,6,3,2,5,1]=>[3,5,6,2,4,1]
[4,6,3,5,1,2]=>[3,5,1,6,4,2]
[4,6,3,5,2,1]=>[3,5,2,6,4,1]
[4,6,5,1,2,3]=>[5,1,6,2,4,3]
[4,6,5,1,3,2]=>[5,1,6,3,4,2]
[4,6,5,2,1,3]=>[5,2,6,1,4,3]
[4,6,5,2,3,1]=>[5,2,6,3,4,1]
[4,6,5,3,1,2]=>[5,3,6,1,4,2]
[4,6,5,3,2,1]=>[5,3,6,2,4,1]
[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[5,1,2,3,6,4]=>[6,5,1,2,3,4]
[5,1,2,4,3,6]=>[4,5,1,2,3,6]
[5,1,2,4,6,3]=>[4,6,5,1,2,3]
[5,1,2,6,3,4]=>[6,1,2,3,5,4]
[5,1,2,6,4,3]=>[6,4,5,1,2,3]
[5,1,3,2,4,6]=>[3,5,1,2,4,6]
[5,1,3,2,6,4]=>[3,6,5,1,2,4]
[5,1,3,4,2,6]=>[3,4,5,1,2,6]
[5,1,3,4,6,2]=>[3,4,6,5,1,2]
[5,1,3,6,2,4]=>[3,6,1,2,5,4]
[5,1,3,6,4,2]=>[3,6,4,5,1,2]
[5,1,4,2,3,6]=>[4,1,2,5,3,6]
[5,1,4,2,6,3]=>[4,1,2,6,5,3]
[5,1,4,3,2,6]=>[4,3,5,1,2,6]
[5,1,4,3,6,2]=>[4,3,6,5,1,2]
[5,1,4,6,2,3]=>[6,4,1,2,5,3]
[5,1,4,6,3,2]=>[6,4,3,5,1,2]
[5,1,6,2,3,4]=>[6,1,2,5,3,4]
[5,1,6,2,4,3]=>[6,1,2,4,5,3]
[5,1,6,3,2,4]=>[6,3,5,1,2,4]
[5,1,6,3,4,2]=>[6,3,4,5,1,2]
[5,1,6,4,2,3]=>[4,6,1,2,5,3]
[5,1,6,4,3,2]=>[4,6,3,5,1,2]
[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[5,2,1,3,6,4]=>[2,6,5,1,3,4]
[5,2,1,4,3,6]=>[2,4,5,1,3,6]
[5,2,1,4,6,3]=>[2,4,6,5,1,3]
[5,2,1,6,3,4]=>[2,6,1,3,5,4]
[5,2,1,6,4,3]=>[2,6,4,5,1,3]
[5,2,3,1,4,6]=>[2,3,5,1,4,6]
[5,2,3,1,6,4]=>[2,3,6,5,1,4]
[5,2,3,4,1,6]=>[2,3,4,5,1,6]
[5,2,3,4,6,1]=>[2,3,4,6,5,1]
[5,2,3,6,1,4]=>[2,3,6,1,5,4]
[5,2,3,6,4,1]=>[2,3,6,4,5,1]
[5,2,4,1,3,6]=>[2,4,1,5,3,6]
[5,2,4,1,6,3]=>[2,4,1,6,5,3]
[5,2,4,3,1,6]=>[2,4,3,5,1,6]
[5,2,4,3,6,1]=>[2,4,3,6,5,1]
[5,2,4,6,1,3]=>[2,6,4,1,5,3]
[5,2,4,6,3,1]=>[2,6,4,3,5,1]
[5,2,6,1,3,4]=>[2,6,1,5,3,4]
[5,2,6,1,4,3]=>[2,6,1,4,5,3]
[5,2,6,3,1,4]=>[2,6,3,5,1,4]
[5,2,6,3,4,1]=>[2,6,3,4,5,1]
[5,2,6,4,1,3]=>[2,4,6,1,5,3]
[5,2,6,4,3,1]=>[2,4,6,3,5,1]
[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[5,3,1,2,6,4]=>[3,1,6,5,2,4]
[5,3,1,4,2,6]=>[3,1,4,5,2,6]
[5,3,1,4,6,2]=>[3,1,4,6,5,2]
[5,3,1,6,2,4]=>[3,1,6,2,5,4]
[5,3,1,6,4,2]=>[3,1,6,4,5,2]
[5,3,2,1,4,6]=>[3,2,5,1,4,6]
[5,3,2,1,6,4]=>[3,2,6,5,1,4]
[5,3,2,4,1,6]=>[3,2,4,5,1,6]
[5,3,2,4,6,1]=>[3,2,4,6,5,1]
[5,3,2,6,1,4]=>[3,2,6,1,5,4]
[5,3,2,6,4,1]=>[3,2,6,4,5,1]
[5,3,4,1,2,6]=>[4,3,1,5,2,6]
[5,3,4,1,6,2]=>[4,3,1,6,5,2]
[5,3,4,2,1,6]=>[4,3,2,5,1,6]
[5,3,4,2,6,1]=>[4,3,2,6,5,1]
[5,3,4,6,1,2]=>[6,4,3,1,5,2]
[5,3,4,6,2,1]=>[6,4,3,2,5,1]
[5,3,6,1,2,4]=>[6,3,1,5,2,4]
[5,3,6,1,4,2]=>[6,3,1,4,5,2]
[5,3,6,2,1,4]=>[6,3,2,5,1,4]
[5,3,6,2,4,1]=>[6,3,2,4,5,1]
[5,3,6,4,1,2]=>[4,6,3,1,5,2]
[5,3,6,4,2,1]=>[4,6,3,2,5,1]
[5,4,1,2,3,6]=>[4,1,5,2,3,6]
[5,4,1,2,6,3]=>[4,1,6,5,2,3]
[5,4,1,3,2,6]=>[4,1,3,5,2,6]
[5,4,1,3,6,2]=>[4,1,3,6,5,2]
[5,4,1,6,2,3]=>[6,4,1,5,2,3]
[5,4,1,6,3,2]=>[6,4,1,3,5,2]
[5,4,2,1,3,6]=>[4,2,5,1,3,6]
[5,4,2,1,6,3]=>[4,2,6,5,1,3]
[5,4,2,3,1,6]=>[4,2,3,5,1,6]
[5,4,2,3,6,1]=>[4,2,3,6,5,1]
[5,4,2,6,1,3]=>[6,4,2,5,1,3]
[5,4,2,6,3,1]=>[6,4,2,3,5,1]
[5,4,3,1,2,6]=>[3,4,1,5,2,6]
[5,4,3,1,6,2]=>[3,4,1,6,5,2]
[5,4,3,2,1,6]=>[3,4,2,5,1,6]
[5,4,3,2,6,1]=>[3,4,2,6,5,1]
[5,4,3,6,1,2]=>[3,6,4,1,5,2]
[5,4,3,6,2,1]=>[3,6,4,2,5,1]
[5,4,6,1,2,3]=>[6,1,4,2,5,3]
[5,4,6,1,3,2]=>[6,1,4,3,5,2]
[5,4,6,2,1,3]=>[6,2,4,1,5,3]
[5,4,6,2,3,1]=>[6,2,4,3,5,1]
[5,4,6,3,1,2]=>[6,3,4,1,5,2]
[5,4,6,3,2,1]=>[6,3,4,2,5,1]
[5,6,1,2,3,4]=>[6,1,5,2,3,4]
[5,6,1,2,4,3]=>[6,1,4,5,2,3]
[5,6,1,3,2,4]=>[6,1,3,5,2,4]
[5,6,1,3,4,2]=>[6,1,3,4,5,2]
[5,6,1,4,2,3]=>[4,6,1,5,2,3]
[5,6,1,4,3,2]=>[4,6,1,3,5,2]
[5,6,2,1,3,4]=>[6,2,5,1,3,4]
[5,6,2,1,4,3]=>[6,2,4,5,1,3]
[5,6,2,3,1,4]=>[6,2,3,5,1,4]
[5,6,2,3,4,1]=>[6,2,3,4,5,1]
[5,6,2,4,1,3]=>[4,6,2,5,1,3]
[5,6,2,4,3,1]=>[4,6,2,3,5,1]
[5,6,3,1,2,4]=>[3,6,1,5,2,4]
[5,6,3,1,4,2]=>[3,6,1,4,5,2]
[5,6,3,2,1,4]=>[3,6,2,5,1,4]
[5,6,3,2,4,1]=>[3,6,2,4,5,1]
[5,6,3,4,1,2]=>[3,4,6,1,5,2]
[5,6,3,4,2,1]=>[3,4,6,2,5,1]
[5,6,4,1,2,3]=>[4,1,6,2,5,3]
[5,6,4,1,3,2]=>[4,1,6,3,5,2]
[5,6,4,2,1,3]=>[4,2,6,1,5,3]
[5,6,4,2,3,1]=>[4,2,6,3,5,1]
[5,6,4,3,1,2]=>[4,3,6,1,5,2]
[5,6,4,3,2,1]=>[4,3,6,2,5,1]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[6,1,2,3,5,4]=>[5,6,1,2,3,4]
[6,1,2,4,3,5]=>[4,6,1,2,3,5]
[6,1,2,4,5,3]=>[4,5,6,1,2,3]
[6,1,2,5,3,4]=>[5,1,2,3,6,4]
[6,1,2,5,4,3]=>[5,4,6,1,2,3]
[6,1,3,2,4,5]=>[3,6,1,2,4,5]
[6,1,3,2,5,4]=>[3,5,6,1,2,4]
[6,1,3,4,2,5]=>[3,4,6,1,2,5]
[6,1,3,4,5,2]=>[3,4,5,6,1,2]
[6,1,3,5,2,4]=>[3,5,1,2,6,4]
[6,1,3,5,4,2]=>[3,5,4,6,1,2]
[6,1,4,2,3,5]=>[4,1,2,6,3,5]
[6,1,4,2,5,3]=>[4,1,2,5,6,3]
[6,1,4,3,2,5]=>[4,3,6,1,2,5]
[6,1,4,3,5,2]=>[4,3,5,6,1,2]
[6,1,4,5,2,3]=>[5,4,1,2,6,3]
[6,1,4,5,3,2]=>[5,4,3,6,1,2]
[6,1,5,2,3,4]=>[5,1,2,6,3,4]
[6,1,5,2,4,3]=>[5,1,2,4,6,3]
[6,1,5,3,2,4]=>[5,3,6,1,2,4]
[6,1,5,3,4,2]=>[5,3,4,6,1,2]
[6,1,5,4,2,3]=>[4,5,1,2,6,3]
[6,1,5,4,3,2]=>[4,5,3,6,1,2]
[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[6,2,1,3,5,4]=>[2,5,6,1,3,4]
[6,2,1,4,3,5]=>[2,4,6,1,3,5]
[6,2,1,4,5,3]=>[2,4,5,6,1,3]
[6,2,1,5,3,4]=>[2,5,1,3,6,4]
[6,2,1,5,4,3]=>[2,5,4,6,1,3]
[6,2,3,1,4,5]=>[2,3,6,1,4,5]
[6,2,3,1,5,4]=>[2,3,5,6,1,4]
[6,2,3,4,1,5]=>[2,3,4,6,1,5]
[6,2,3,4,5,1]=>[2,3,4,5,6,1]
[6,2,3,5,1,4]=>[2,3,5,1,6,4]
[6,2,3,5,4,1]=>[2,3,5,4,6,1]
[6,2,4,1,3,5]=>[2,4,1,6,3,5]
[6,2,4,1,5,3]=>[2,4,1,5,6,3]
[6,2,4,3,1,5]=>[2,4,3,6,1,5]
[6,2,4,3,5,1]=>[2,4,3,5,6,1]
[6,2,4,5,1,3]=>[2,5,4,1,6,3]
[6,2,4,5,3,1]=>[2,5,4,3,6,1]
[6,2,5,1,3,4]=>[2,5,1,6,3,4]
[6,2,5,1,4,3]=>[2,5,1,4,6,3]
[6,2,5,3,1,4]=>[2,5,3,6,1,4]
[6,2,5,3,4,1]=>[2,5,3,4,6,1]
[6,2,5,4,1,3]=>[2,4,5,1,6,3]
[6,2,5,4,3,1]=>[2,4,5,3,6,1]
[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[6,3,1,2,5,4]=>[3,1,5,6,2,4]
[6,3,1,4,2,5]=>[3,1,4,6,2,5]
[6,3,1,4,5,2]=>[3,1,4,5,6,2]
[6,3,1,5,2,4]=>[3,1,5,2,6,4]
[6,3,1,5,4,2]=>[3,1,5,4,6,2]
[6,3,2,1,4,5]=>[3,2,6,1,4,5]
[6,3,2,1,5,4]=>[3,2,5,6,1,4]
[6,3,2,4,1,5]=>[3,2,4,6,1,5]
[6,3,2,4,5,1]=>[3,2,4,5,6,1]
[6,3,2,5,1,4]=>[3,2,5,1,6,4]
[6,3,2,5,4,1]=>[3,2,5,4,6,1]
[6,3,4,1,2,5]=>[4,3,1,6,2,5]
[6,3,4,1,5,2]=>[4,3,1,5,6,2]
[6,3,4,2,1,5]=>[4,3,2,6,1,5]
[6,3,4,2,5,1]=>[4,3,2,5,6,1]
[6,3,4,5,1,2]=>[5,4,3,1,6,2]
[6,3,4,5,2,1]=>[5,4,3,2,6,1]
[6,3,5,1,2,4]=>[5,3,1,6,2,4]
[6,3,5,1,4,2]=>[5,3,1,4,6,2]
[6,3,5,2,1,4]=>[5,3,2,6,1,4]
[6,3,5,2,4,1]=>[5,3,2,4,6,1]
[6,3,5,4,1,2]=>[4,5,3,1,6,2]
[6,3,5,4,2,1]=>[4,5,3,2,6,1]
[6,4,1,2,3,5]=>[4,1,6,2,3,5]
[6,4,1,2,5,3]=>[4,1,5,6,2,3]
[6,4,1,3,2,5]=>[4,1,3,6,2,5]
[6,4,1,3,5,2]=>[4,1,3,5,6,2]
[6,4,1,5,2,3]=>[5,4,1,6,2,3]
[6,4,1,5,3,2]=>[5,4,1,3,6,2]
[6,4,2,1,3,5]=>[4,2,6,1,3,5]
[6,4,2,1,5,3]=>[4,2,5,6,1,3]
[6,4,2,3,1,5]=>[4,2,3,6,1,5]
[6,4,2,3,5,1]=>[4,2,3,5,6,1]
[6,4,2,5,1,3]=>[5,4,2,6,1,3]
[6,4,2,5,3,1]=>[5,4,2,3,6,1]
[6,4,3,1,2,5]=>[3,4,1,6,2,5]
[6,4,3,1,5,2]=>[3,4,1,5,6,2]
[6,4,3,2,1,5]=>[3,4,2,6,1,5]
[6,4,3,2,5,1]=>[3,4,2,5,6,1]
[6,4,3,5,1,2]=>[3,5,4,1,6,2]
[6,4,3,5,2,1]=>[3,5,4,2,6,1]
[6,4,5,1,2,3]=>[5,1,4,2,6,3]
[6,4,5,1,3,2]=>[5,1,4,3,6,2]
[6,4,5,2,1,3]=>[5,2,4,1,6,3]
[6,4,5,2,3,1]=>[5,2,4,3,6,1]
[6,4,5,3,1,2]=>[5,3,4,1,6,2]
[6,4,5,3,2,1]=>[5,3,4,2,6,1]
[6,5,1,2,3,4]=>[5,1,6,2,3,4]
[6,5,1,2,4,3]=>[5,1,4,6,2,3]
[6,5,1,3,2,4]=>[5,1,3,6,2,4]
[6,5,1,3,4,2]=>[5,1,3,4,6,2]
[6,5,1,4,2,3]=>[4,5,1,6,2,3]
[6,5,1,4,3,2]=>[4,5,1,3,6,2]
[6,5,2,1,3,4]=>[5,2,6,1,3,4]
[6,5,2,1,4,3]=>[5,2,4,6,1,3]
[6,5,2,3,1,4]=>[5,2,3,6,1,4]
[6,5,2,3,4,1]=>[5,2,3,4,6,1]
[6,5,2,4,1,3]=>[4,5,2,6,1,3]
[6,5,2,4,3,1]=>[4,5,2,3,6,1]
[6,5,3,1,2,4]=>[3,5,1,6,2,4]
[6,5,3,1,4,2]=>[3,5,1,4,6,2]
[6,5,3,2,1,4]=>[3,5,2,6,1,4]
[6,5,3,2,4,1]=>[3,5,2,4,6,1]
[6,5,3,4,1,2]=>[3,4,5,1,6,2]
[6,5,3,4,2,1]=>[3,4,5,2,6,1]
[6,5,4,1,2,3]=>[4,1,5,2,6,3]
[6,5,4,1,3,2]=>[4,1,5,3,6,2]
[6,5,4,2,1,3]=>[4,2,5,1,6,3]
[6,5,4,2,3,1]=>[4,2,5,3,6,1]
[6,5,4,3,1,2]=>[4,3,5,1,6,2]
[6,5,4,3,2,1]=>[4,3,5,2,6,1]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[1,2,3,5,6,7,4]=>[1,2,3,7,6,5,4]
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[1,2,3,5,7,6,4]=>[1,2,3,6,7,5,4]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[1,2,3,6,4,7,5]=>[1,2,3,7,6,4,5]
[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]
[1,2,3,6,5,7,4]=>[1,2,3,5,7,6,4]
[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[1,2,3,6,7,5,4]=>[1,2,3,7,5,6,4]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]
[1,2,3,7,4,6,5]=>[1,2,3,6,7,4,5]
[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]
[1,2,3,7,5,6,4]=>[1,2,3,5,6,7,4]
[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]
[1,2,3,7,6,5,4]=>[1,2,3,6,5,7,4]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]
[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]
[1,2,4,5,6,3,7]=>[1,2,6,5,4,3,7]
[1,2,4,5,6,7,3]=>[1,2,7,6,5,4,3]
[1,2,4,5,7,3,6]=>[1,2,7,5,4,3,6]
[1,2,4,5,7,6,3]=>[1,2,6,7,5,4,3]
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[1,2,4,6,3,7,5]=>[1,2,7,6,4,3,5]
[1,2,4,6,5,3,7]=>[1,2,5,6,4,3,7]
[1,2,4,6,5,7,3]=>[1,2,5,7,6,4,3]
[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[1,2,4,6,7,5,3]=>[1,2,7,5,6,4,3]
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[1,2,4,7,3,6,5]=>[1,2,6,7,4,3,5]
[1,2,4,7,5,3,6]=>[1,2,5,7,4,3,6]
[1,2,4,7,5,6,3]=>[1,2,5,6,7,4,3]
[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]
[1,2,4,7,6,5,3]=>[1,2,6,5,7,4,3]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]
[1,2,5,3,6,4,7]=>[1,2,6,5,3,4,7]
[1,2,5,3,6,7,4]=>[1,2,7,6,5,3,4]
[1,2,5,3,7,4,6]=>[1,2,7,5,3,4,6]
[1,2,5,3,7,6,4]=>[1,2,6,7,5,3,4]
[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]
[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]
[1,2,5,4,6,3,7]=>[1,2,4,6,5,3,7]
[1,2,5,4,6,7,3]=>[1,2,4,7,6,5,3]
[1,2,5,4,7,3,6]=>[1,2,4,7,5,3,6]
[1,2,5,4,7,6,3]=>[1,2,4,6,7,5,3]
[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[1,2,5,6,3,7,4]=>[1,2,7,6,3,5,4]
[1,2,5,6,4,3,7]=>[1,2,6,4,5,3,7]
[1,2,5,6,4,7,3]=>[1,2,7,6,4,5,3]
[1,2,5,6,7,3,4]=>[1,2,7,3,6,5,4]
[1,2,5,6,7,4,3]=>[1,2,7,4,6,5,3]
[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[1,2,5,7,3,6,4]=>[1,2,6,7,3,5,4]
[1,2,5,7,4,3,6]=>[1,2,7,4,5,3,6]
[1,2,5,7,4,6,3]=>[1,2,6,7,4,5,3]
[1,2,5,7,6,3,4]=>[1,2,6,3,7,5,4]
[1,2,5,7,6,4,3]=>[1,2,6,4,7,5,3]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]
[1,2,6,3,4,7,5]=>[1,2,7,6,3,4,5]
[1,2,6,3,5,4,7]=>[1,2,5,6,3,4,7]
[1,2,6,3,5,7,4]=>[1,2,5,7,6,3,4]
[1,2,6,3,7,4,5]=>[1,2,7,3,4,6,5]
[1,2,6,3,7,5,4]=>[1,2,7,5,6,3,4]
[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]
[1,2,6,4,3,7,5]=>[1,2,4,7,6,3,5]
[1,2,6,4,5,3,7]=>[1,2,4,5,6,3,7]
[1,2,6,4,5,7,3]=>[1,2,4,5,7,6,3]
[1,2,6,4,7,3,5]=>[1,2,4,7,3,6,5]
[1,2,6,4,7,5,3]=>[1,2,4,7,5,6,3]
[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]
[1,2,6,5,3,7,4]=>[1,2,5,3,7,6,4]
[1,2,6,5,4,3,7]=>[1,2,5,4,6,3,7]
[1,2,6,5,4,7,3]=>[1,2,5,4,7,6,3]
[1,2,6,5,7,3,4]=>[1,2,7,5,3,6,4]
[1,2,6,5,7,4,3]=>[1,2,7,5,4,6,3]
[1,2,6,7,3,4,5]=>[1,2,7,3,6,4,5]
[1,2,6,7,3,5,4]=>[1,2,7,3,5,6,4]
[1,2,6,7,4,3,5]=>[1,2,7,4,6,3,5]
[1,2,6,7,4,5,3]=>[1,2,7,4,5,6,3]
[1,2,6,7,5,3,4]=>[1,2,5,7,3,6,4]
[1,2,6,7,5,4,3]=>[1,2,5,7,4,6,3]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]
[1,2,7,3,4,6,5]=>[1,2,6,7,3,4,5]
[1,2,7,3,5,4,6]=>[1,2,5,7,3,4,6]
[1,2,7,3,5,6,4]=>[1,2,5,6,7,3,4]
[1,2,7,3,6,4,5]=>[1,2,6,3,4,7,5]
[1,2,7,3,6,5,4]=>[1,2,6,5,7,3,4]
[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]
[1,2,7,4,3,6,5]=>[1,2,4,6,7,3,5]
[1,2,7,4,5,3,6]=>[1,2,4,5,7,3,6]
[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]
[1,2,7,4,6,3,5]=>[1,2,4,6,3,7,5]
[1,2,7,4,6,5,3]=>[1,2,4,6,5,7,3]
[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]
[1,2,7,5,3,6,4]=>[1,2,5,3,6,7,4]
[1,2,7,5,4,3,6]=>[1,2,5,4,7,3,6]
[1,2,7,5,4,6,3]=>[1,2,5,4,6,7,3]
[1,2,7,5,6,3,4]=>[1,2,6,5,3,7,4]
[1,2,7,5,6,4,3]=>[1,2,6,5,4,7,3]
[1,2,7,6,3,4,5]=>[1,2,6,3,7,4,5]
[1,2,7,6,3,5,4]=>[1,2,6,3,5,7,4]
[1,2,7,6,4,3,5]=>[1,2,6,4,7,3,5]
[1,2,7,6,4,5,3]=>[1,2,6,4,5,7,3]
[1,2,7,6,5,3,4]=>[1,2,5,6,3,7,4]
[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]
[1,3,2,5,6,7,4]=>[1,3,2,7,6,5,4]
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]
[1,3,2,5,7,6,4]=>[1,3,2,6,7,5,4]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]
[1,3,2,6,4,7,5]=>[1,3,2,7,6,4,5]
[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]
[1,3,2,6,5,7,4]=>[1,3,2,5,7,6,4]
[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]
[1,3,2,6,7,5,4]=>[1,3,2,7,5,6,4]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]
[1,3,2,7,4,6,5]=>[1,3,2,6,7,4,5]
[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]
[1,3,2,7,5,6,4]=>[1,3,2,5,6,7,4]
[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]
[1,3,2,7,6,5,4]=>[1,3,2,6,5,7,4]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]
[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]
[1,3,4,5,2,6,7]=>[1,5,4,3,2,6,7]
[1,3,4,5,2,7,6]=>[1,5,4,3,2,7,6]
[1,3,4,5,6,2,7]=>[1,6,5,4,3,2,7]
[1,3,4,5,6,7,2]=>[1,7,6,5,4,3,2]
[1,3,4,5,7,2,6]=>[1,7,5,4,3,2,6]
[1,3,4,5,7,6,2]=>[1,6,7,5,4,3,2]
[1,3,4,6,2,5,7]=>[1,6,4,3,2,5,7]
[1,3,4,6,2,7,5]=>[1,7,6,4,3,2,5]
[1,3,4,6,5,2,7]=>[1,5,6,4,3,2,7]
[1,3,4,6,5,7,2]=>[1,5,7,6,4,3,2]
[1,3,4,6,7,2,5]=>[1,7,4,3,2,6,5]
[1,3,4,6,7,5,2]=>[1,7,5,6,4,3,2]
[1,3,4,7,2,5,6]=>[1,7,4,3,2,5,6]
[1,3,4,7,2,6,5]=>[1,6,7,4,3,2,5]
[1,3,4,7,5,2,6]=>[1,5,7,4,3,2,6]
[1,3,4,7,5,6,2]=>[1,5,6,7,4,3,2]
[1,3,4,7,6,2,5]=>[1,6,4,3,2,7,5]
[1,3,4,7,6,5,2]=>[1,6,5,7,4,3,2]
[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]
[1,3,5,2,6,4,7]=>[1,6,5,3,2,4,7]
[1,3,5,2,6,7,4]=>[1,7,6,5,3,2,4]
[1,3,5,2,7,4,6]=>[1,7,5,3,2,4,6]
[1,3,5,2,7,6,4]=>[1,6,7,5,3,2,4]
[1,3,5,4,2,6,7]=>[1,4,5,3,2,6,7]
[1,3,5,4,2,7,6]=>[1,4,5,3,2,7,6]
[1,3,5,4,6,2,7]=>[1,4,6,5,3,2,7]
[1,3,5,4,6,7,2]=>[1,4,7,6,5,3,2]
[1,3,5,4,7,2,6]=>[1,4,7,5,3,2,6]
[1,3,5,4,7,6,2]=>[1,4,6,7,5,3,2]
[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[1,3,5,6,2,7,4]=>[1,7,6,3,2,5,4]
[1,3,5,6,4,2,7]=>[1,6,4,5,3,2,7]
[1,3,5,6,4,7,2]=>[1,7,6,4,5,3,2]
[1,3,5,6,7,2,4]=>[1,7,3,2,6,5,4]
[1,3,5,6,7,4,2]=>[1,7,4,6,5,3,2]
[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[1,3,5,7,2,6,4]=>[1,6,7,3,2,5,4]
[1,3,5,7,4,2,6]=>[1,7,4,5,3,2,6]
[1,3,5,7,4,6,2]=>[1,6,7,4,5,3,2]
[1,3,5,7,6,2,4]=>[1,6,3,2,7,5,4]
[1,3,5,7,6,4,2]=>[1,6,4,7,5,3,2]
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[1,3,6,2,4,7,5]=>[1,7,6,3,2,4,5]
[1,3,6,2,5,4,7]=>[1,5,6,3,2,4,7]
[1,3,6,2,5,7,4]=>[1,5,7,6,3,2,4]
[1,3,6,2,7,4,5]=>[1,7,3,2,4,6,5]
[1,3,6,2,7,5,4]=>[1,7,5,6,3,2,4]
[1,3,6,4,2,5,7]=>[1,4,6,3,2,5,7]
[1,3,6,4,2,7,5]=>[1,4,7,6,3,2,5]
[1,3,6,4,5,2,7]=>[1,4,5,6,3,2,7]
[1,3,6,4,5,7,2]=>[1,4,5,7,6,3,2]
[1,3,6,4,7,2,5]=>[1,4,7,3,2,6,5]
[1,3,6,4,7,5,2]=>[1,4,7,5,6,3,2]
[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]
[1,3,6,5,2,7,4]=>[1,5,3,2,7,6,4]
[1,3,6,5,4,2,7]=>[1,5,4,6,3,2,7]
[1,3,6,5,4,7,2]=>[1,5,4,7,6,3,2]
[1,3,6,5,7,2,4]=>[1,7,5,3,2,6,4]
[1,3,6,5,7,4,2]=>[1,7,5,4,6,3,2]
[1,3,6,7,2,4,5]=>[1,7,3,2,6,4,5]
[1,3,6,7,2,5,4]=>[1,7,3,2,5,6,4]
[1,3,6,7,4,2,5]=>[1,7,4,6,3,2,5]
[1,3,6,7,4,5,2]=>[1,7,4,5,6,3,2]
[1,3,6,7,5,2,4]=>[1,5,7,3,2,6,4]
[1,3,6,7,5,4,2]=>[1,5,7,4,6,3,2]
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]
[1,3,7,2,4,6,5]=>[1,6,7,3,2,4,5]
[1,3,7,2,5,4,6]=>[1,5,7,3,2,4,6]
[1,3,7,2,5,6,4]=>[1,5,6,7,3,2,4]
[1,3,7,2,6,4,5]=>[1,6,3,2,4,7,5]
[1,3,7,2,6,5,4]=>[1,6,5,7,3,2,4]
[1,3,7,4,2,5,6]=>[1,4,7,3,2,5,6]
[1,3,7,4,2,6,5]=>[1,4,6,7,3,2,5]
[1,3,7,4,5,2,6]=>[1,4,5,7,3,2,6]
[1,3,7,4,5,6,2]=>[1,4,5,6,7,3,2]
[1,3,7,4,6,2,5]=>[1,4,6,3,2,7,5]
[1,3,7,4,6,5,2]=>[1,4,6,5,7,3,2]
[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]
[1,3,7,5,2,6,4]=>[1,5,3,2,6,7,4]
[1,3,7,5,4,2,6]=>[1,5,4,7,3,2,6]
[1,3,7,5,4,6,2]=>[1,5,4,6,7,3,2]
[1,3,7,5,6,2,4]=>[1,6,5,3,2,7,4]
[1,3,7,5,6,4,2]=>[1,6,5,4,7,3,2]
[1,3,7,6,2,4,5]=>[1,6,3,2,7,4,5]
[1,3,7,6,2,5,4]=>[1,6,3,2,5,7,4]
[1,3,7,6,4,2,5]=>[1,6,4,7,3,2,5]
[1,3,7,6,4,5,2]=>[1,6,4,5,7,3,2]
[1,3,7,6,5,2,4]=>[1,5,6,3,2,7,4]
[1,3,7,6,5,4,2]=>[1,5,6,4,7,3,2]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]
[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]
[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]
[1,4,2,5,3,6,7]=>[1,5,4,2,3,6,7]
[1,4,2,5,3,7,6]=>[1,5,4,2,3,7,6]
[1,4,2,5,6,3,7]=>[1,6,5,4,2,3,7]
[1,4,2,5,6,7,3]=>[1,7,6,5,4,2,3]
[1,4,2,5,7,3,6]=>[1,7,5,4,2,3,6]
[1,4,2,5,7,6,3]=>[1,6,7,5,4,2,3]
[1,4,2,6,3,5,7]=>[1,6,4,2,3,5,7]
[1,4,2,6,3,7,5]=>[1,7,6,4,2,3,5]
[1,4,2,6,5,3,7]=>[1,5,6,4,2,3,7]
[1,4,2,6,5,7,3]=>[1,5,7,6,4,2,3]
[1,4,2,6,7,3,5]=>[1,7,4,2,3,6,5]
[1,4,2,6,7,5,3]=>[1,7,5,6,4,2,3]
[1,4,2,7,3,5,6]=>[1,7,4,2,3,5,6]
[1,4,2,7,3,6,5]=>[1,6,7,4,2,3,5]
[1,4,2,7,5,3,6]=>[1,5,7,4,2,3,6]
[1,4,2,7,5,6,3]=>[1,5,6,7,4,2,3]
[1,4,2,7,6,3,5]=>[1,6,4,2,3,7,5]
[1,4,2,7,6,5,3]=>[1,6,5,7,4,2,3]
[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]
[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]
[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]
[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]
[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]
[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]
[1,4,3,5,2,6,7]=>[1,3,5,4,2,6,7]
[1,4,3,5,2,7,6]=>[1,3,5,4,2,7,6]
[1,4,3,5,6,2,7]=>[1,3,6,5,4,2,7]
[1,4,3,5,6,7,2]=>[1,3,7,6,5,4,2]
[1,4,3,5,7,2,6]=>[1,3,7,5,4,2,6]
[1,4,3,5,7,6,2]=>[1,3,6,7,5,4,2]
[1,4,3,6,2,5,7]=>[1,3,6,4,2,5,7]
[1,4,3,6,2,7,5]=>[1,3,7,6,4,2,5]
[1,4,3,6,5,2,7]=>[1,3,5,6,4,2,7]
[1,4,3,6,5,7,2]=>[1,3,5,7,6,4,2]
[1,4,3,6,7,2,5]=>[1,3,7,4,2,6,5]
[1,4,3,6,7,5,2]=>[1,3,7,5,6,4,2]
[1,4,3,7,2,5,6]=>[1,3,7,4,2,5,6]
[1,4,3,7,2,6,5]=>[1,3,6,7,4,2,5]
[1,4,3,7,5,2,6]=>[1,3,5,7,4,2,6]
[1,4,3,7,5,6,2]=>[1,3,5,6,7,4,2]
[1,4,3,7,6,2,5]=>[1,3,6,4,2,7,5]
[1,4,3,7,6,5,2]=>[1,3,6,5,7,4,2]
[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]
[1,4,5,2,6,3,7]=>[1,6,5,2,4,3,7]
[1,4,5,2,6,7,3]=>[1,7,6,5,2,4,3]
[1,4,5,2,7,3,6]=>[1,7,5,2,4,3,6]
[1,4,5,2,7,6,3]=>[1,6,7,5,2,4,3]
[1,4,5,3,2,6,7]=>[1,5,3,4,2,6,7]
[1,4,5,3,2,7,6]=>[1,5,3,4,2,7,6]
[1,4,5,3,6,2,7]=>[1,6,5,3,4,2,7]
[1,4,5,3,6,7,2]=>[1,7,6,5,3,4,2]
[1,4,5,3,7,2,6]=>[1,7,5,3,4,2,6]
[1,4,5,3,7,6,2]=>[1,6,7,5,3,4,2]
[1,4,5,6,2,3,7]=>[1,6,2,5,4,3,7]
[1,4,5,6,2,7,3]=>[1,7,6,2,5,4,3]
[1,4,5,6,3,2,7]=>[1,6,3,5,4,2,7]
[1,4,5,6,3,7,2]=>[1,7,6,3,5,4,2]
[1,4,5,6,7,2,3]=>[1,7,2,6,5,4,3]
[1,4,5,6,7,3,2]=>[1,7,3,6,5,4,2]
[1,4,5,7,2,3,6]=>[1,7,2,5,4,3,6]
[1,4,5,7,2,6,3]=>[1,6,7,2,5,4,3]
[1,4,5,7,3,2,6]=>[1,7,3,5,4,2,6]
[1,4,5,7,3,6,2]=>[1,6,7,3,5,4,2]
[1,4,5,7,6,2,3]=>[1,6,2,7,5,4,3]
[1,4,5,7,6,3,2]=>[1,6,3,7,5,4,2]
[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[1,4,6,2,3,7,5]=>[1,7,6,2,4,3,5]
[1,4,6,2,5,3,7]=>[1,5,6,2,4,3,7]
[1,4,6,2,5,7,3]=>[1,5,7,6,2,4,3]
[1,4,6,2,7,3,5]=>[1,7,2,4,3,6,5]
[1,4,6,2,7,5,3]=>[1,7,5,6,2,4,3]
[1,4,6,3,2,5,7]=>[1,6,3,4,2,5,7]
[1,4,6,3,2,7,5]=>[1,7,6,3,4,2,5]
[1,4,6,3,5,2,7]=>[1,5,6,3,4,2,7]
[1,4,6,3,5,7,2]=>[1,5,7,6,3,4,2]
[1,4,6,3,7,2,5]=>[1,7,3,4,2,6,5]
[1,4,6,3,7,5,2]=>[1,7,5,6,3,4,2]
[1,4,6,5,2,3,7]=>[1,5,2,6,4,3,7]
[1,4,6,5,2,7,3]=>[1,5,2,7,6,4,3]
[1,4,6,5,3,2,7]=>[1,5,3,6,4,2,7]
[1,4,6,5,3,7,2]=>[1,5,3,7,6,4,2]
[1,4,6,5,7,2,3]=>[1,7,5,2,6,4,3]
[1,4,6,5,7,3,2]=>[1,7,5,3,6,4,2]
[1,4,6,7,2,3,5]=>[1,7,2,6,4,3,5]
[1,4,6,7,2,5,3]=>[1,7,2,5,6,4,3]
[1,4,6,7,3,2,5]=>[1,7,3,6,4,2,5]
[1,4,6,7,3,5,2]=>[1,7,3,5,6,4,2]
[1,4,6,7,5,2,3]=>[1,5,7,2,6,4,3]
[1,4,6,7,5,3,2]=>[1,5,7,3,6,4,2]
[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]
[1,4,7,2,3,6,5]=>[1,6,7,2,4,3,5]
[1,4,7,2,5,3,6]=>[1,5,7,2,4,3,6]
[1,4,7,2,5,6,3]=>[1,5,6,7,2,4,3]
[1,4,7,2,6,3,5]=>[1,6,2,4,3,7,5]
[1,4,7,2,6,5,3]=>[1,6,5,7,2,4,3]
[1,4,7,3,2,5,6]=>[1,7,3,4,2,5,6]
[1,4,7,3,2,6,5]=>[1,6,7,3,4,2,5]
[1,4,7,3,5,2,6]=>[1,5,7,3,4,2,6]
[1,4,7,3,5,6,2]=>[1,5,6,7,3,4,2]
[1,4,7,3,6,2,5]=>[1,6,3,4,2,7,5]
[1,4,7,3,6,5,2]=>[1,6,5,7,3,4,2]
[1,4,7,5,2,3,6]=>[1,5,2,7,4,3,6]
[1,4,7,5,2,6,3]=>[1,5,2,6,7,4,3]
[1,4,7,5,3,2,6]=>[1,5,3,7,4,2,6]
[1,4,7,5,3,6,2]=>[1,5,3,6,7,4,2]
[1,4,7,5,6,2,3]=>[1,6,5,2,7,4,3]
[1,4,7,5,6,3,2]=>[1,6,5,3,7,4,2]
[1,4,7,6,2,3,5]=>[1,6,2,7,4,3,5]
[1,4,7,6,2,5,3]=>[1,6,2,5,7,4,3]
[1,4,7,6,3,2,5]=>[1,6,3,7,4,2,5]
[1,4,7,6,3,5,2]=>[1,6,3,5,7,4,2]
[1,4,7,6,5,2,3]=>[1,5,6,2,7,4,3]
[1,4,7,6,5,3,2]=>[1,5,6,3,7,4,2]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]
[1,5,2,3,6,4,7]=>[1,6,5,2,3,4,7]
[1,5,2,3,6,7,4]=>[1,7,6,5,2,3,4]
[1,5,2,3,7,4,6]=>[1,7,5,2,3,4,6]
[1,5,2,3,7,6,4]=>[1,6,7,5,2,3,4]
[1,5,2,4,3,6,7]=>[1,4,5,2,3,6,7]
[1,5,2,4,3,7,6]=>[1,4,5,2,3,7,6]
[1,5,2,4,6,3,7]=>[1,4,6,5,2,3,7]
[1,5,2,4,6,7,3]=>[1,4,7,6,5,2,3]
[1,5,2,4,7,3,6]=>[1,4,7,5,2,3,6]
[1,5,2,4,7,6,3]=>[1,4,6,7,5,2,3]
[1,5,2,6,3,4,7]=>[1,6,2,3,5,4,7]
[1,5,2,6,3,7,4]=>[1,7,6,2,3,5,4]
[1,5,2,6,4,3,7]=>[1,6,4,5,2,3,7]
[1,5,2,6,4,7,3]=>[1,7,6,4,5,2,3]
[1,5,2,6,7,3,4]=>[1,7,2,3,6,5,4]
[1,5,2,6,7,4,3]=>[1,7,4,6,5,2,3]
[1,5,2,7,3,4,6]=>[1,7,2,3,5,4,6]
[1,5,2,7,3,6,4]=>[1,6,7,2,3,5,4]
[1,5,2,7,4,3,6]=>[1,7,4,5,2,3,6]
[1,5,2,7,4,6,3]=>[1,6,7,4,5,2,3]
[1,5,2,7,6,3,4]=>[1,6,2,3,7,5,4]
[1,5,2,7,6,4,3]=>[1,6,4,7,5,2,3]
[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]
[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]
[1,5,3,2,6,4,7]=>[1,3,6,5,2,4,7]
[1,5,3,2,6,7,4]=>[1,3,7,6,5,2,4]
[1,5,3,2,7,4,6]=>[1,3,7,5,2,4,6]
[1,5,3,2,7,6,4]=>[1,3,6,7,5,2,4]
[1,5,3,4,2,6,7]=>[1,3,4,5,2,6,7]
[1,5,3,4,2,7,6]=>[1,3,4,5,2,7,6]
[1,5,3,4,6,2,7]=>[1,3,4,6,5,2,7]
[1,5,3,4,6,7,2]=>[1,3,4,7,6,5,2]
[1,5,3,4,7,2,6]=>[1,3,4,7,5,2,6]
[1,5,3,4,7,6,2]=>[1,3,4,6,7,5,2]
[1,5,3,6,2,4,7]=>[1,3,6,2,5,4,7]
[1,5,3,6,2,7,4]=>[1,3,7,6,2,5,4]
[1,5,3,6,4,2,7]=>[1,3,6,4,5,2,7]
[1,5,3,6,4,7,2]=>[1,3,7,6,4,5,2]
[1,5,3,6,7,2,4]=>[1,3,7,2,6,5,4]
[1,5,3,6,7,4,2]=>[1,3,7,4,6,5,2]
[1,5,3,7,2,4,6]=>[1,3,7,2,5,4,6]
[1,5,3,7,2,6,4]=>[1,3,6,7,2,5,4]
[1,5,3,7,4,2,6]=>[1,3,7,4,5,2,6]
[1,5,3,7,4,6,2]=>[1,3,6,7,4,5,2]
[1,5,3,7,6,2,4]=>[1,3,6,2,7,5,4]
[1,5,3,7,6,4,2]=>[1,3,6,4,7,5,2]
[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]
[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]
[1,5,4,2,6,3,7]=>[1,4,2,6,5,3,7]
[1,5,4,2,6,7,3]=>[1,4,2,7,6,5,3]
[1,5,4,2,7,3,6]=>[1,4,2,7,5,3,6]
[1,5,4,2,7,6,3]=>[1,4,2,6,7,5,3]
[1,5,4,3,2,6,7]=>[1,4,3,5,2,6,7]
[1,5,4,3,2,7,6]=>[1,4,3,5,2,7,6]
[1,5,4,3,6,2,7]=>[1,4,3,6,5,2,7]
[1,5,4,3,6,7,2]=>[1,4,3,7,6,5,2]
[1,5,4,3,7,2,6]=>[1,4,3,7,5,2,6]
[1,5,4,3,7,6,2]=>[1,4,3,6,7,5,2]
[1,5,4,6,2,3,7]=>[1,6,4,2,5,3,7]
[1,5,4,6,2,7,3]=>[1,7,6,4,2,5,3]
[1,5,4,6,3,2,7]=>[1,6,4,3,5,2,7]
[1,5,4,6,3,7,2]=>[1,7,6,4,3,5,2]
[1,5,4,6,7,2,3]=>[1,7,4,2,6,5,3]
[1,5,4,6,7,3,2]=>[1,7,4,3,6,5,2]
[1,5,4,7,2,3,6]=>[1,7,4,2,5,3,6]
[1,5,4,7,2,6,3]=>[1,6,7,4,2,5,3]
[1,5,4,7,3,2,6]=>[1,7,4,3,5,2,6]
[1,5,4,7,3,6,2]=>[1,6,7,4,3,5,2]
[1,5,4,7,6,2,3]=>[1,6,4,2,7,5,3]
[1,5,4,7,6,3,2]=>[1,6,4,3,7,5,2]
[1,5,6,2,3,4,7]=>[1,6,2,5,3,4,7]
[1,5,6,2,3,7,4]=>[1,7,6,2,5,3,4]
[1,5,6,2,4,3,7]=>[1,6,2,4,5,3,7]
[1,5,6,2,4,7,3]=>[1,7,6,2,4,5,3]
[1,5,6,2,7,3,4]=>[1,7,2,6,5,3,4]
[1,5,6,2,7,4,3]=>[1,7,2,4,6,5,3]
[1,5,6,3,2,4,7]=>[1,6,3,5,2,4,7]
[1,5,6,3,2,7,4]=>[1,7,6,3,5,2,4]
[1,5,6,3,4,2,7]=>[1,6,3,4,5,2,7]
[1,5,6,3,4,7,2]=>[1,7,6,3,4,5,2]
[1,5,6,3,7,2,4]=>[1,7,3,6,5,2,4]
[1,5,6,3,7,4,2]=>[1,7,3,4,6,5,2]
[1,5,6,4,2,3,7]=>[1,4,6,2,5,3,7]
[1,5,6,4,2,7,3]=>[1,4,7,6,2,5,3]
[1,5,6,4,3,2,7]=>[1,4,6,3,5,2,7]
[1,5,6,4,3,7,2]=>[1,4,7,6,3,5,2]
[1,5,6,4,7,2,3]=>[1,4,7,2,6,5,3]
[1,5,6,4,7,3,2]=>[1,4,7,3,6,5,2]
[1,5,6,7,2,3,4]=>[1,7,2,6,3,5,4]
[1,5,6,7,2,4,3]=>[1,7,2,6,4,5,3]
[1,5,6,7,3,2,4]=>[1,7,3,6,2,5,4]
[1,5,6,7,3,4,2]=>[1,7,3,6,4,5,2]
[1,5,6,7,4,2,3]=>[1,7,4,6,2,5,3]
[1,5,6,7,4,3,2]=>[1,7,4,6,3,5,2]
[1,5,7,2,3,4,6]=>[1,7,2,5,3,4,6]
[1,5,7,2,3,6,4]=>[1,6,7,2,5,3,4]
[1,5,7,2,4,3,6]=>[1,7,2,4,5,3,6]
[1,5,7,2,4,6,3]=>[1,6,7,2,4,5,3]
[1,5,7,2,6,3,4]=>[1,6,2,7,5,3,4]
[1,5,7,2,6,4,3]=>[1,6,2,4,7,5,3]
[1,5,7,3,2,4,6]=>[1,7,3,5,2,4,6]
[1,5,7,3,2,6,4]=>[1,6,7,3,5,2,4]
[1,5,7,3,4,2,6]=>[1,7,3,4,5,2,6]
[1,5,7,3,4,6,2]=>[1,6,7,3,4,5,2]
[1,5,7,3,6,2,4]=>[1,6,3,7,5,2,4]
[1,5,7,3,6,4,2]=>[1,6,3,4,7,5,2]
[1,5,7,4,2,3,6]=>[1,4,7,2,5,3,6]
[1,5,7,4,2,6,3]=>[1,4,6,7,2,5,3]
[1,5,7,4,3,2,6]=>[1,4,7,3,5,2,6]
[1,5,7,4,3,6,2]=>[1,4,6,7,3,5,2]
[1,5,7,4,6,2,3]=>[1,4,6,2,7,5,3]
[1,5,7,4,6,3,2]=>[1,4,6,3,7,5,2]
[1,5,7,6,2,3,4]=>[1,6,2,7,3,5,4]
[1,5,7,6,2,4,3]=>[1,6,2,7,4,5,3]
[1,5,7,6,3,2,4]=>[1,6,3,7,2,5,4]
[1,5,7,6,3,4,2]=>[1,6,3,7,4,5,2]
[1,5,7,6,4,2,3]=>[1,6,4,7,2,5,3]
[1,5,7,6,4,3,2]=>[1,6,4,7,3,5,2]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]
[1,6,2,3,4,7,5]=>[1,7,6,2,3,4,5]
[1,6,2,3,5,4,7]=>[1,5,6,2,3,4,7]
[1,6,2,3,5,7,4]=>[1,5,7,6,2,3,4]
[1,6,2,3,7,4,5]=>[1,7,2,3,4,6,5]
[1,6,2,3,7,5,4]=>[1,7,5,6,2,3,4]
[1,6,2,4,3,5,7]=>[1,4,6,2,3,5,7]
[1,6,2,4,3,7,5]=>[1,4,7,6,2,3,5]
[1,6,2,4,5,3,7]=>[1,4,5,6,2,3,7]
[1,6,2,4,5,7,3]=>[1,4,5,7,6,2,3]
[1,6,2,4,7,3,5]=>[1,4,7,2,3,6,5]
[1,6,2,4,7,5,3]=>[1,4,7,5,6,2,3]
[1,6,2,5,3,4,7]=>[1,5,2,3,6,4,7]
[1,6,2,5,3,7,4]=>[1,5,2,3,7,6,4]
[1,6,2,5,4,3,7]=>[1,5,4,6,2,3,7]
[1,6,2,5,4,7,3]=>[1,5,4,7,6,2,3]
[1,6,2,5,7,3,4]=>[1,7,5,2,3,6,4]
[1,6,2,5,7,4,3]=>[1,7,5,4,6,2,3]
[1,6,2,7,3,4,5]=>[1,7,2,3,6,4,5]
[1,6,2,7,3,5,4]=>[1,7,2,3,5,6,4]
[1,6,2,7,4,3,5]=>[1,7,4,6,2,3,5]
[1,6,2,7,4,5,3]=>[1,7,4,5,6,2,3]
[1,6,2,7,5,3,4]=>[1,5,7,2,3,6,4]
[1,6,2,7,5,4,3]=>[1,5,7,4,6,2,3]
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]
[1,6,3,2,4,7,5]=>[1,3,7,6,2,4,5]
[1,6,3,2,5,4,7]=>[1,3,5,6,2,4,7]
[1,6,3,2,5,7,4]=>[1,3,5,7,6,2,4]
[1,6,3,2,7,4,5]=>[1,3,7,2,4,6,5]
[1,6,3,2,7,5,4]=>[1,3,7,5,6,2,4]
[1,6,3,4,2,5,7]=>[1,3,4,6,2,5,7]
[1,6,3,4,2,7,5]=>[1,3,4,7,6,2,5]
[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]
[1,6,3,4,5,7,2]=>[1,3,4,5,7,6,2]
[1,6,3,4,7,2,5]=>[1,3,4,7,2,6,5]
[1,6,3,4,7,5,2]=>[1,3,4,7,5,6,2]
[1,6,3,5,2,4,7]=>[1,3,5,2,6,4,7]
[1,6,3,5,2,7,4]=>[1,3,5,2,7,6,4]
[1,6,3,5,4,2,7]=>[1,3,5,4,6,2,7]
[1,6,3,5,4,7,2]=>[1,3,5,4,7,6,2]
[1,6,3,5,7,2,4]=>[1,3,7,5,2,6,4]
[1,6,3,5,7,4,2]=>[1,3,7,5,4,6,2]
[1,6,3,7,2,4,5]=>[1,3,7,2,6,4,5]
[1,6,3,7,2,5,4]=>[1,3,7,2,5,6,4]
[1,6,3,7,4,2,5]=>[1,3,7,4,6,2,5]
[1,6,3,7,4,5,2]=>[1,3,7,4,5,6,2]
[1,6,3,7,5,2,4]=>[1,3,5,7,2,6,4]
[1,6,3,7,5,4,2]=>[1,3,5,7,4,6,2]
[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]
[1,6,4,2,3,7,5]=>[1,4,2,7,6,3,5]
[1,6,4,2,5,3,7]=>[1,4,2,5,6,3,7]
[1,6,4,2,5,7,3]=>[1,4,2,5,7,6,3]
[1,6,4,2,7,3,5]=>[1,4,2,7,3,6,5]
[1,6,4,2,7,5,3]=>[1,4,2,7,5,6,3]
[1,6,4,3,2,5,7]=>[1,4,3,6,2,5,7]
[1,6,4,3,2,7,5]=>[1,4,3,7,6,2,5]
[1,6,4,3,5,2,7]=>[1,4,3,5,6,2,7]
[1,6,4,3,5,7,2]=>[1,4,3,5,7,6,2]
[1,6,4,3,7,2,5]=>[1,4,3,7,2,6,5]
[1,6,4,3,7,5,2]=>[1,4,3,7,5,6,2]
[1,6,4,5,2,3,7]=>[1,5,4,2,6,3,7]
[1,6,4,5,2,7,3]=>[1,5,4,2,7,6,3]
[1,6,4,5,3,2,7]=>[1,5,4,3,6,2,7]
[1,6,4,5,3,7,2]=>[1,5,4,3,7,6,2]
[1,6,4,5,7,2,3]=>[1,7,5,4,2,6,3]
[1,6,4,5,7,3,2]=>[1,7,5,4,3,6,2]
[1,6,4,7,2,3,5]=>[1,7,4,2,6,3,5]
[1,6,4,7,2,5,3]=>[1,7,4,2,5,6,3]
[1,6,4,7,3,2,5]=>[1,7,4,3,6,2,5]
[1,6,4,7,3,5,2]=>[1,7,4,3,5,6,2]
[1,6,4,7,5,2,3]=>[1,5,7,4,2,6,3]
[1,6,4,7,5,3,2]=>[1,5,7,4,3,6,2]
[1,6,5,2,3,4,7]=>[1,5,2,6,3,4,7]
[1,6,5,2,3,7,4]=>[1,5,2,7,6,3,4]
[1,6,5,2,4,3,7]=>[1,5,2,4,6,3,7]
[1,6,5,2,4,7,3]=>[1,5,2,4,7,6,3]
[1,6,5,2,7,3,4]=>[1,7,5,2,6,3,4]
[1,6,5,2,7,4,3]=>[1,7,5,2,4,6,3]
[1,6,5,3,2,4,7]=>[1,5,3,6,2,4,7]
[1,6,5,3,2,7,4]=>[1,5,3,7,6,2,4]
[1,6,5,3,4,2,7]=>[1,5,3,4,6,2,7]
[1,6,5,3,4,7,2]=>[1,5,3,4,7,6,2]
[1,6,5,3,7,2,4]=>[1,7,5,3,6,2,4]
[1,6,5,3,7,4,2]=>[1,7,5,3,4,6,2]
[1,6,5,4,2,3,7]=>[1,4,5,2,6,3,7]
[1,6,5,4,2,7,3]=>[1,4,5,2,7,6,3]
[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]
[1,6,5,4,3,7,2]=>[1,4,5,3,7,6,2]
[1,6,5,4,7,2,3]=>[1,4,7,5,2,6,3]
[1,6,5,4,7,3,2]=>[1,4,7,5,3,6,2]
[1,6,5,7,2,3,4]=>[1,7,2,5,3,6,4]
[1,6,5,7,2,4,3]=>[1,7,2,5,4,6,3]
[1,6,5,7,3,2,4]=>[1,7,3,5,2,6,4]
[1,6,5,7,3,4,2]=>[1,7,3,5,4,6,2]
[1,6,5,7,4,2,3]=>[1,7,4,5,2,6,3]
[1,6,5,7,4,3,2]=>[1,7,4,5,3,6,2]
[1,6,7,2,3,4,5]=>[1,7,2,6,3,4,5]
[1,6,7,2,3,5,4]=>[1,7,2,5,6,3,4]
[1,6,7,2,4,3,5]=>[1,7,2,4,6,3,5]
[1,6,7,2,4,5,3]=>[1,7,2,4,5,6,3]
[1,6,7,2,5,3,4]=>[1,5,7,2,6,3,4]
[1,6,7,2,5,4,3]=>[1,5,7,2,4,6,3]
[1,6,7,3,2,4,5]=>[1,7,3,6,2,4,5]
[1,6,7,3,2,5,4]=>[1,7,3,5,6,2,4]
[1,6,7,3,4,2,5]=>[1,7,3,4,6,2,5]
[1,6,7,3,4,5,2]=>[1,7,3,4,5,6,2]
[1,6,7,3,5,2,4]=>[1,5,7,3,6,2,4]
[1,6,7,3,5,4,2]=>[1,5,7,3,4,6,2]
[1,6,7,4,2,3,5]=>[1,4,7,2,6,3,5]
[1,6,7,4,2,5,3]=>[1,4,7,2,5,6,3]
[1,6,7,4,3,2,5]=>[1,4,7,3,6,2,5]
[1,6,7,4,3,5,2]=>[1,4,7,3,5,6,2]
[1,6,7,4,5,2,3]=>[1,4,5,7,2,6,3]
[1,6,7,4,5,3,2]=>[1,4,5,7,3,6,2]
[1,6,7,5,2,3,4]=>[1,5,2,7,3,6,4]
[1,6,7,5,2,4,3]=>[1,5,2,7,4,6,3]
[1,6,7,5,3,2,4]=>[1,5,3,7,2,6,4]
[1,6,7,5,3,4,2]=>[1,5,3,7,4,6,2]
[1,6,7,5,4,2,3]=>[1,5,4,7,2,6,3]
[1,6,7,5,4,3,2]=>[1,5,4,7,3,6,2]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]
[1,7,2,3,4,6,5]=>[1,6,7,2,3,4,5]
[1,7,2,3,5,4,6]=>[1,5,7,2,3,4,6]
[1,7,2,3,5,6,4]=>[1,5,6,7,2,3,4]
[1,7,2,3,6,4,5]=>[1,6,2,3,4,7,5]
[1,7,2,3,6,5,4]=>[1,6,5,7,2,3,4]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]
[1,7,2,4,3,6,5]=>[1,4,6,7,2,3,5]
[1,7,2,4,5,3,6]=>[1,4,5,7,2,3,6]
[1,7,2,4,5,6,3]=>[1,4,5,6,7,2,3]
[1,7,2,4,6,3,5]=>[1,4,6,2,3,7,5]
[1,7,2,4,6,5,3]=>[1,4,6,5,7,2,3]
[1,7,2,5,3,4,6]=>[1,5,2,3,7,4,6]
[1,7,2,5,3,6,4]=>[1,5,2,3,6,7,4]
[1,7,2,5,4,3,6]=>[1,5,4,7,2,3,6]
[1,7,2,5,4,6,3]=>[1,5,4,6,7,2,3]
[1,7,2,5,6,3,4]=>[1,6,5,2,3,7,4]
[1,7,2,5,6,4,3]=>[1,6,5,4,7,2,3]
[1,7,2,6,3,4,5]=>[1,6,2,3,7,4,5]
[1,7,2,6,3,5,4]=>[1,6,2,3,5,7,4]
[1,7,2,6,4,3,5]=>[1,6,4,7,2,3,5]
[1,7,2,6,4,5,3]=>[1,6,4,5,7,2,3]
[1,7,2,6,5,3,4]=>[1,5,6,2,3,7,4]
[1,7,2,6,5,4,3]=>[1,5,6,4,7,2,3]
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]
[1,7,3,2,4,6,5]=>[1,3,6,7,2,4,5]
[1,7,3,2,5,4,6]=>[1,3,5,7,2,4,6]
[1,7,3,2,5,6,4]=>[1,3,5,6,7,2,4]
[1,7,3,2,6,4,5]=>[1,3,6,2,4,7,5]
[1,7,3,2,6,5,4]=>[1,3,6,5,7,2,4]
[1,7,3,4,2,5,6]=>[1,3,4,7,2,5,6]
[1,7,3,4,2,6,5]=>[1,3,4,6,7,2,5]
[1,7,3,4,5,2,6]=>[1,3,4,5,7,2,6]
[1,7,3,4,5,6,2]=>[1,3,4,5,6,7,2]
[1,7,3,4,6,2,5]=>[1,3,4,6,2,7,5]
[1,7,3,4,6,5,2]=>[1,3,4,6,5,7,2]
[1,7,3,5,2,4,6]=>[1,3,5,2,7,4,6]
[1,7,3,5,2,6,4]=>[1,3,5,2,6,7,4]
[1,7,3,5,4,2,6]=>[1,3,5,4,7,2,6]
[1,7,3,5,4,6,2]=>[1,3,5,4,6,7,2]
[1,7,3,5,6,2,4]=>[1,3,6,5,2,7,4]
[1,7,3,5,6,4,2]=>[1,3,6,5,4,7,2]
[1,7,3,6,2,4,5]=>[1,3,6,2,7,4,5]
[1,7,3,6,2,5,4]=>[1,3,6,2,5,7,4]
[1,7,3,6,4,2,5]=>[1,3,6,4,7,2,5]
[1,7,3,6,4,5,2]=>[1,3,6,4,5,7,2]
[1,7,3,6,5,2,4]=>[1,3,5,6,2,7,4]
[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]
[1,7,4,2,3,6,5]=>[1,4,2,6,7,3,5]
[1,7,4,2,5,3,6]=>[1,4,2,5,7,3,6]
[1,7,4,2,5,6,3]=>[1,4,2,5,6,7,3]
[1,7,4,2,6,3,5]=>[1,4,2,6,3,7,5]
[1,7,4,2,6,5,3]=>[1,4,2,6,5,7,3]
[1,7,4,3,2,5,6]=>[1,4,3,7,2,5,6]
[1,7,4,3,2,6,5]=>[1,4,3,6,7,2,5]
[1,7,4,3,5,2,6]=>[1,4,3,5,7,2,6]
[1,7,4,3,5,6,2]=>[1,4,3,5,6,7,2]
[1,7,4,3,6,2,5]=>[1,4,3,6,2,7,5]
[1,7,4,3,6,5,2]=>[1,4,3,6,5,7,2]
[1,7,4,5,2,3,6]=>[1,5,4,2,7,3,6]
[1,7,4,5,2,6,3]=>[1,5,4,2,6,7,3]
[1,7,4,5,3,2,6]=>[1,5,4,3,7,2,6]
[1,7,4,5,3,6,2]=>[1,5,4,3,6,7,2]
[1,7,4,5,6,2,3]=>[1,6,5,4,2,7,3]
[1,7,4,5,6,3,2]=>[1,6,5,4,3,7,2]
[1,7,4,6,2,3,5]=>[1,6,4,2,7,3,5]
[1,7,4,6,2,5,3]=>[1,6,4,2,5,7,3]
[1,7,4,6,3,2,5]=>[1,6,4,3,7,2,5]
[1,7,4,6,3,5,2]=>[1,6,4,3,5,7,2]
[1,7,4,6,5,2,3]=>[1,5,6,4,2,7,3]
[1,7,4,6,5,3,2]=>[1,5,6,4,3,7,2]
[1,7,5,2,3,4,6]=>[1,5,2,7,3,4,6]
[1,7,5,2,3,6,4]=>[1,5,2,6,7,3,4]
[1,7,5,2,4,3,6]=>[1,5,2,4,7,3,6]
[1,7,5,2,4,6,3]=>[1,5,2,4,6,7,3]
[1,7,5,2,6,3,4]=>[1,6,5,2,7,3,4]
[1,7,5,2,6,4,3]=>[1,6,5,2,4,7,3]
[1,7,5,3,2,4,6]=>[1,5,3,7,2,4,6]
[1,7,5,3,2,6,4]=>[1,5,3,6,7,2,4]
[1,7,5,3,4,2,6]=>[1,5,3,4,7,2,6]
[1,7,5,3,4,6,2]=>[1,5,3,4,6,7,2]
[1,7,5,3,6,2,4]=>[1,6,5,3,7,2,4]
[1,7,5,3,6,4,2]=>[1,6,5,3,4,7,2]
[1,7,5,4,2,3,6]=>[1,4,5,2,7,3,6]
[1,7,5,4,2,6,3]=>[1,4,5,2,6,7,3]
[1,7,5,4,3,2,6]=>[1,4,5,3,7,2,6]
[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]
[1,7,5,4,6,2,3]=>[1,4,6,5,2,7,3]
[1,7,5,4,6,3,2]=>[1,4,6,5,3,7,2]
[1,7,5,6,2,3,4]=>[1,6,2,5,3,7,4]
[1,7,5,6,2,4,3]=>[1,6,2,5,4,7,3]
[1,7,5,6,3,2,4]=>[1,6,3,5,2,7,4]
[1,7,5,6,3,4,2]=>[1,6,3,5,4,7,2]
[1,7,5,6,4,2,3]=>[1,6,4,5,2,7,3]
[1,7,5,6,4,3,2]=>[1,6,4,5,3,7,2]
[1,7,6,2,3,4,5]=>[1,6,2,7,3,4,5]
[1,7,6,2,3,5,4]=>[1,6,2,5,7,3,4]
[1,7,6,2,4,3,5]=>[1,6,2,4,7,3,5]
[1,7,6,2,4,5,3]=>[1,6,2,4,5,7,3]
[1,7,6,2,5,3,4]=>[1,5,6,2,7,3,4]
[1,7,6,2,5,4,3]=>[1,5,6,2,4,7,3]
[1,7,6,3,2,4,5]=>[1,6,3,7,2,4,5]
[1,7,6,3,2,5,4]=>[1,6,3,5,7,2,4]
[1,7,6,3,4,2,5]=>[1,6,3,4,7,2,5]
[1,7,6,3,4,5,2]=>[1,6,3,4,5,7,2]
[1,7,6,3,5,2,4]=>[1,5,6,3,7,2,4]
[1,7,6,3,5,4,2]=>[1,5,6,3,4,7,2]
[1,7,6,4,2,3,5]=>[1,4,6,2,7,3,5]
[1,7,6,4,2,5,3]=>[1,4,6,2,5,7,3]
[1,7,6,4,3,2,5]=>[1,4,6,3,7,2,5]
[1,7,6,4,3,5,2]=>[1,4,6,3,5,7,2]
[1,7,6,4,5,2,3]=>[1,4,5,6,2,7,3]
[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]
[1,7,6,5,2,3,4]=>[1,5,2,6,3,7,4]
[1,7,6,5,2,4,3]=>[1,5,2,6,4,7,3]
[1,7,6,5,3,2,4]=>[1,5,3,6,2,7,4]
[1,7,6,5,3,4,2]=>[1,5,3,6,4,7,2]
[1,7,6,5,4,2,3]=>[1,5,4,6,2,7,3]
[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]
[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]
[2,1,3,5,6,7,4]=>[2,1,3,7,6,5,4]
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]
[2,1,3,5,7,6,4]=>[2,1,3,6,7,5,4]
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]
[2,1,3,6,4,7,5]=>[2,1,3,7,6,4,5]
[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]
[2,1,3,6,5,7,4]=>[2,1,3,5,7,6,4]
[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]
[2,1,3,6,7,5,4]=>[2,1,3,7,5,6,4]
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]
[2,1,3,7,4,6,5]=>[2,1,3,6,7,4,5]
[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]
[2,1,3,7,5,6,4]=>[2,1,3,5,6,7,4]
[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]
[2,1,3,7,6,5,4]=>[2,1,3,6,5,7,4]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]
[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]
[2,1,4,5,6,3,7]=>[2,1,6,5,4,3,7]
[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]
[2,1,4,5,7,3,6]=>[2,1,7,5,4,3,6]
[2,1,4,5,7,6,3]=>[2,1,6,7,5,4,3]
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]
[2,1,4,6,3,7,5]=>[2,1,7,6,4,3,5]
[2,1,4,6,5,3,7]=>[2,1,5,6,4,3,7]
[2,1,4,6,5,7,3]=>[2,1,5,7,6,4,3]
[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]
[2,1,4,6,7,5,3]=>[2,1,7,5,6,4,3]
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]
[2,1,4,7,3,6,5]=>[2,1,6,7,4,3,5]
[2,1,4,7,5,3,6]=>[2,1,5,7,4,3,6]
[2,1,4,7,5,6,3]=>[2,1,5,6,7,4,3]
[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]
[2,1,4,7,6,5,3]=>[2,1,6,5,7,4,3]
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]
[2,1,5,3,6,4,7]=>[2,1,6,5,3,4,7]
[2,1,5,3,6,7,4]=>[2,1,7,6,5,3,4]
[2,1,5,3,7,4,6]=>[2,1,7,5,3,4,6]
[2,1,5,3,7,6,4]=>[2,1,6,7,5,3,4]
[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]
[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]
[2,1,5,4,6,3,7]=>[2,1,4,6,5,3,7]
[2,1,5,4,6,7,3]=>[2,1,4,7,6,5,3]
[2,1,5,4,7,3,6]=>[2,1,4,7,5,3,6]
[2,1,5,4,7,6,3]=>[2,1,4,6,7,5,3]
[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]
[2,1,5,6,3,7,4]=>[2,1,7,6,3,5,4]
[2,1,5,6,4,3,7]=>[2,1,6,4,5,3,7]
[2,1,5,6,4,7,3]=>[2,1,7,6,4,5,3]
[2,1,5,6,7,3,4]=>[2,1,7,3,6,5,4]
[2,1,5,6,7,4,3]=>[2,1,7,4,6,5,3]
[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]
[2,1,5,7,3,6,4]=>[2,1,6,7,3,5,4]
[2,1,5,7,4,3,6]=>[2,1,7,4,5,3,6]
[2,1,5,7,4,6,3]=>[2,1,6,7,4,5,3]
[2,1,5,7,6,3,4]=>[2,1,6,3,7,5,4]
[2,1,5,7,6,4,3]=>[2,1,6,4,7,5,3]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]
[2,1,6,3,4,7,5]=>[2,1,7,6,3,4,5]
[2,1,6,3,5,4,7]=>[2,1,5,6,3,4,7]
[2,1,6,3,5,7,4]=>[2,1,5,7,6,3,4]
[2,1,6,3,7,4,5]=>[2,1,7,3,4,6,5]
[2,1,6,3,7,5,4]=>[2,1,7,5,6,3,4]
[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]
[2,1,6,4,3,7,5]=>[2,1,4,7,6,3,5]
[2,1,6,4,5,3,7]=>[2,1,4,5,6,3,7]
[2,1,6,4,5,7,3]=>[2,1,4,5,7,6,3]
[2,1,6,4,7,3,5]=>[2,1,4,7,3,6,5]
[2,1,6,4,7,5,3]=>[2,1,4,7,5,6,3]
[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]
[2,1,6,5,3,7,4]=>[2,1,5,3,7,6,4]
[2,1,6,5,4,3,7]=>[2,1,5,4,6,3,7]
[2,1,6,5,4,7,3]=>[2,1,5,4,7,6,3]
[2,1,6,5,7,3,4]=>[2,1,7,5,3,6,4]
[2,1,6,5,7,4,3]=>[2,1,7,5,4,6,3]
[2,1,6,7,3,4,5]=>[2,1,7,3,6,4,5]
[2,1,6,7,3,5,4]=>[2,1,7,3,5,6,4]
[2,1,6,7,4,3,5]=>[2,1,7,4,6,3,5]
[2,1,6,7,4,5,3]=>[2,1,7,4,5,6,3]
[2,1,6,7,5,3,4]=>[2,1,5,7,3,6,4]
[2,1,6,7,5,4,3]=>[2,1,5,7,4,6,3]
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]
[2,1,7,3,4,6,5]=>[2,1,6,7,3,4,5]
[2,1,7,3,5,4,6]=>[2,1,5,7,3,4,6]
[2,1,7,3,5,6,4]=>[2,1,5,6,7,3,4]
[2,1,7,3,6,4,5]=>[2,1,6,3,4,7,5]
[2,1,7,3,6,5,4]=>[2,1,6,5,7,3,4]
[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]
[2,1,7,4,3,6,5]=>[2,1,4,6,7,3,5]
[2,1,7,4,5,3,6]=>[2,1,4,5,7,3,6]
[2,1,7,4,5,6,3]=>[2,1,4,5,6,7,3]
[2,1,7,4,6,3,5]=>[2,1,4,6,3,7,5]
[2,1,7,4,6,5,3]=>[2,1,4,6,5,7,3]
[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]
[2,1,7,5,3,6,4]=>[2,1,5,3,6,7,4]
[2,1,7,5,4,3,6]=>[2,1,5,4,7,3,6]
[2,1,7,5,4,6,3]=>[2,1,5,4,6,7,3]
[2,1,7,5,6,3,4]=>[2,1,6,5,3,7,4]
[2,1,7,5,6,4,3]=>[2,1,6,5,4,7,3]
[2,1,7,6,3,4,5]=>[2,1,6,3,7,4,5]
[2,1,7,6,3,5,4]=>[2,1,6,3,5,7,4]
[2,1,7,6,4,3,5]=>[2,1,6,4,7,3,5]
[2,1,7,6,4,5,3]=>[2,1,6,4,5,7,3]
[2,1,7,6,5,3,4]=>[2,1,5,6,3,7,4]
[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]
[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]
[2,3,1,5,6,7,4]=>[3,2,1,7,6,5,4]
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]
[2,3,1,5,7,6,4]=>[3,2,1,6,7,5,4]
[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]
[2,3,1,6,4,7,5]=>[3,2,1,7,6,4,5]
[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]
[2,3,1,6,5,7,4]=>[3,2,1,5,7,6,4]
[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]
[2,3,1,6,7,5,4]=>[3,2,1,7,5,6,4]
[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]
[2,3,1,7,4,6,5]=>[3,2,1,6,7,4,5]
[2,3,1,7,5,4,6]=>[3,2,1,5,7,4,6]
[2,3,1,7,5,6,4]=>[3,2,1,5,6,7,4]
[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]
[2,3,1,7,6,5,4]=>[3,2,1,6,5,7,4]
[2,3,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[2,3,4,1,5,7,6]=>[4,3,2,1,5,7,6]
[2,3,4,1,6,5,7]=>[4,3,2,1,6,5,7]
[2,3,4,1,6,7,5]=>[4,3,2,1,7,6,5]
[2,3,4,1,7,5,6]=>[4,3,2,1,7,5,6]
[2,3,4,1,7,6,5]=>[4,3,2,1,6,7,5]
[2,3,4,5,1,6,7]=>[5,4,3,2,1,6,7]
[2,3,4,5,1,7,6]=>[5,4,3,2,1,7,6]
[2,3,4,5,6,1,7]=>[6,5,4,3,2,1,7]
[2,3,4,5,6,7,1]=>[7,6,5,4,3,2,1]
[2,3,4,5,7,1,6]=>[7,5,4,3,2,1,6]
[2,3,4,5,7,6,1]=>[6,7,5,4,3,2,1]
[2,3,4,6,1,5,7]=>[6,4,3,2,1,5,7]
[2,3,4,6,1,7,5]=>[7,6,4,3,2,1,5]
[2,3,4,6,5,1,7]=>[5,6,4,3,2,1,7]
[2,3,4,6,5,7,1]=>[5,7,6,4,3,2,1]
[2,3,4,6,7,1,5]=>[7,4,3,2,1,6,5]
[2,3,4,6,7,5,1]=>[7,5,6,4,3,2,1]
[2,3,4,7,1,5,6]=>[7,4,3,2,1,5,6]
[2,3,4,7,1,6,5]=>[6,7,4,3,2,1,5]
[2,3,4,7,5,1,6]=>[5,7,4,3,2,1,6]
[2,3,4,7,5,6,1]=>[5,6,7,4,3,2,1]
[2,3,4,7,6,1,5]=>[6,4,3,2,1,7,5]
[2,3,4,7,6,5,1]=>[6,5,7,4,3,2,1]
[2,3,5,1,4,6,7]=>[5,3,2,1,4,6,7]
[2,3,5,1,4,7,6]=>[5,3,2,1,4,7,6]
[2,3,5,1,6,4,7]=>[6,5,3,2,1,4,7]
[2,3,5,1,6,7,4]=>[7,6,5,3,2,1,4]
[2,3,5,1,7,4,6]=>[7,5,3,2,1,4,6]
[2,3,5,1,7,6,4]=>[6,7,5,3,2,1,4]
[2,3,5,4,1,6,7]=>[4,5,3,2,1,6,7]
[2,3,5,4,1,7,6]=>[4,5,3,2,1,7,6]
[2,3,5,4,6,1,7]=>[4,6,5,3,2,1,7]
[2,3,5,4,6,7,1]=>[4,7,6,5,3,2,1]
[2,3,5,4,7,1,6]=>[4,7,5,3,2,1,6]
[2,3,5,4,7,6,1]=>[4,6,7,5,3,2,1]
[2,3,5,6,1,4,7]=>[6,3,2,1,5,4,7]
[2,3,5,6,1,7,4]=>[7,6,3,2,1,5,4]
[2,3,5,6,4,1,7]=>[6,4,5,3,2,1,7]
[2,3,5,6,4,7,1]=>[7,6,4,5,3,2,1]
[2,3,5,6,7,1,4]=>[7,3,2,1,6,5,4]
[2,3,5,6,7,4,1]=>[7,4,6,5,3,2,1]
[2,3,5,7,1,4,6]=>[7,3,2,1,5,4,6]
[2,3,5,7,1,6,4]=>[6,7,3,2,1,5,4]
[2,3,5,7,4,1,6]=>[7,4,5,3,2,1,6]
[2,3,5,7,4,6,1]=>[6,7,4,5,3,2,1]
[2,3,5,7,6,1,4]=>[6,3,2,1,7,5,4]
[2,3,5,7,6,4,1]=>[6,4,7,5,3,2,1]
[2,3,6,1,4,5,7]=>[6,3,2,1,4,5,7]
[2,3,6,1,4,7,5]=>[7,6,3,2,1,4,5]
[2,3,6,1,5,4,7]=>[5,6,3,2,1,4,7]
[2,3,6,1,5,7,4]=>[5,7,6,3,2,1,4]
[2,3,6,1,7,4,5]=>[7,3,2,1,4,6,5]
[2,3,6,1,7,5,4]=>[7,5,6,3,2,1,4]
[2,3,6,4,1,5,7]=>[4,6,3,2,1,5,7]
[2,3,6,4,1,7,5]=>[4,7,6,3,2,1,5]
[2,3,6,4,5,1,7]=>[4,5,6,3,2,1,7]
[2,3,6,4,5,7,1]=>[4,5,7,6,3,2,1]
[2,3,6,4,7,1,5]=>[4,7,3,2,1,6,5]
[2,3,6,4,7,5,1]=>[4,7,5,6,3,2,1]
[2,3,6,5,1,4,7]=>[5,3,2,1,6,4,7]
[2,3,6,5,1,7,4]=>[5,3,2,1,7,6,4]
[2,3,6,5,4,1,7]=>[5,4,6,3,2,1,7]
[2,3,6,5,4,7,1]=>[5,4,7,6,3,2,1]
[2,3,6,5,7,1,4]=>[7,5,3,2,1,6,4]
[2,3,6,5,7,4,1]=>[7,5,4,6,3,2,1]
[2,3,6,7,1,4,5]=>[7,3,2,1,6,4,5]
[2,3,6,7,1,5,4]=>[7,3,2,1,5,6,4]
[2,3,6,7,4,1,5]=>[7,4,6,3,2,1,5]
[2,3,6,7,4,5,1]=>[7,4,5,6,3,2,1]
[2,3,6,7,5,1,4]=>[5,7,3,2,1,6,4]
[2,3,6,7,5,4,1]=>[5,7,4,6,3,2,1]
[2,3,7,1,4,5,6]=>[7,3,2,1,4,5,6]
[2,3,7,1,4,6,5]=>[6,7,3,2,1,4,5]
[2,3,7,1,5,4,6]=>[5,7,3,2,1,4,6]
[2,3,7,1,5,6,4]=>[5,6,7,3,2,1,4]
[2,3,7,1,6,4,5]=>[6,3,2,1,4,7,5]
[2,3,7,1,6,5,4]=>[6,5,7,3,2,1,4]
[2,3,7,4,1,5,6]=>[4,7,3,2,1,5,6]
[2,3,7,4,1,6,5]=>[4,6,7,3,2,1,5]
[2,3,7,4,5,1,6]=>[4,5,7,3,2,1,6]
[2,3,7,4,5,6,1]=>[4,5,6,7,3,2,1]
[2,3,7,4,6,1,5]=>[4,6,3,2,1,7,5]
[2,3,7,4,6,5,1]=>[4,6,5,7,3,2,1]
[2,3,7,5,1,4,6]=>[5,3,2,1,7,4,6]
[2,3,7,5,1,6,4]=>[5,3,2,1,6,7,4]
[2,3,7,5,4,1,6]=>[5,4,7,3,2,1,6]
[2,3,7,5,4,6,1]=>[5,4,6,7,3,2,1]
[2,3,7,5,6,1,4]=>[6,5,3,2,1,7,4]
[2,3,7,5,6,4,1]=>[6,5,4,7,3,2,1]
[2,3,7,6,1,4,5]=>[6,3,2,1,7,4,5]
[2,3,7,6,1,5,4]=>[6,3,2,1,5,7,4]
[2,3,7,6,4,1,5]=>[6,4,7,3,2,1,5]
[2,3,7,6,4,5,1]=>[6,4,5,7,3,2,1]
[2,3,7,6,5,1,4]=>[5,6,3,2,1,7,4]
[2,3,7,6,5,4,1]=>[5,6,4,7,3,2,1]
[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]
[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]
[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]
[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]
[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]
[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5]
[2,4,1,5,3,6,7]=>[5,4,2,1,3,6,7]
[2,4,1,5,3,7,6]=>[5,4,2,1,3,7,6]
[2,4,1,5,6,3,7]=>[6,5,4,2,1,3,7]
[2,4,1,5,6,7,3]=>[7,6,5,4,2,1,3]
[2,4,1,5,7,3,6]=>[7,5,4,2,1,3,6]
[2,4,1,5,7,6,3]=>[6,7,5,4,2,1,3]
[2,4,1,6,3,5,7]=>[6,4,2,1,3,5,7]
[2,4,1,6,3,7,5]=>[7,6,4,2,1,3,5]
[2,4,1,6,5,3,7]=>[5,6,4,2,1,3,7]
[2,4,1,6,5,7,3]=>[5,7,6,4,2,1,3]
[2,4,1,6,7,3,5]=>[7,4,2,1,3,6,5]
[2,4,1,6,7,5,3]=>[7,5,6,4,2,1,3]
[2,4,1,7,3,5,6]=>[7,4,2,1,3,5,6]
[2,4,1,7,3,6,5]=>[6,7,4,2,1,3,5]
[2,4,1,7,5,3,6]=>[5,7,4,2,1,3,6]
[2,4,1,7,5,6,3]=>[5,6,7,4,2,1,3]
[2,4,1,7,6,3,5]=>[6,4,2,1,3,7,5]
[2,4,1,7,6,5,3]=>[6,5,7,4,2,1,3]
[2,4,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[2,4,3,1,5,7,6]=>[3,4,2,1,5,7,6]
[2,4,3,1,6,5,7]=>[3,4,2,1,6,5,7]
[2,4,3,1,6,7,5]=>[3,4,2,1,7,6,5]
[2,4,3,1,7,5,6]=>[3,4,2,1,7,5,6]
[2,4,3,1,7,6,5]=>[3,4,2,1,6,7,5]
[2,4,3,5,1,6,7]=>[3,5,4,2,1,6,7]
[2,4,3,5,1,7,6]=>[3,5,4,2,1,7,6]
[2,4,3,5,6,1,7]=>[3,6,5,4,2,1,7]
[2,4,3,5,6,7,1]=>[3,7,6,5,4,2,1]
[2,4,3,5,7,1,6]=>[3,7,5,4,2,1,6]
[2,4,3,5,7,6,1]=>[3,6,7,5,4,2,1]
[2,4,3,6,1,5,7]=>[3,6,4,2,1,5,7]
[2,4,3,6,1,7,5]=>[3,7,6,4,2,1,5]
[2,4,3,6,5,1,7]=>[3,5,6,4,2,1,7]
[2,4,3,6,5,7,1]=>[3,5,7,6,4,2,1]
[2,4,3,6,7,1,5]=>[3,7,4,2,1,6,5]
[2,4,3,6,7,5,1]=>[3,7,5,6,4,2,1]
[2,4,3,7,1,5,6]=>[3,7,4,2,1,5,6]
[2,4,3,7,1,6,5]=>[3,6,7,4,2,1,5]
[2,4,3,7,5,1,6]=>[3,5,7,4,2,1,6]
[2,4,3,7,5,6,1]=>[3,5,6,7,4,2,1]
[2,4,3,7,6,1,5]=>[3,6,4,2,1,7,5]
[2,4,3,7,6,5,1]=>[3,6,5,7,4,2,1]
[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]
[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]
[2,4,5,1,6,3,7]=>[6,5,2,1,4,3,7]
[2,4,5,1,6,7,3]=>[7,6,5,2,1,4,3]
[2,4,5,1,7,3,6]=>[7,5,2,1,4,3,6]
[2,4,5,1,7,6,3]=>[6,7,5,2,1,4,3]
[2,4,5,3,1,6,7]=>[5,3,4,2,1,6,7]
[2,4,5,3,1,7,6]=>[5,3,4,2,1,7,6]
[2,4,5,3,6,1,7]=>[6,5,3,4,2,1,7]
[2,4,5,3,6,7,1]=>[7,6,5,3,4,2,1]
[2,4,5,3,7,1,6]=>[7,5,3,4,2,1,6]
[2,4,5,3,7,6,1]=>[6,7,5,3,4,2,1]
[2,4,5,6,1,3,7]=>[6,2,1,5,4,3,7]
[2,4,5,6,1,7,3]=>[7,6,2,1,5,4,3]
[2,4,5,6,3,1,7]=>[6,3,5,4,2,1,7]
[2,4,5,6,3,7,1]=>[7,6,3,5,4,2,1]
[2,4,5,6,7,1,3]=>[7,2,1,6,5,4,3]
[2,4,5,6,7,3,1]=>[7,3,6,5,4,2,1]
[2,4,5,7,1,3,6]=>[7,2,1,5,4,3,6]
[2,4,5,7,1,6,3]=>[6,7,2,1,5,4,3]
[2,4,5,7,3,1,6]=>[7,3,5,4,2,1,6]
[2,4,5,7,3,6,1]=>[6,7,3,5,4,2,1]
[2,4,5,7,6,1,3]=>[6,2,1,7,5,4,3]
[2,4,5,7,6,3,1]=>[6,3,7,5,4,2,1]
[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]
[2,4,6,1,3,7,5]=>[7,6,2,1,4,3,5]
[2,4,6,1,5,3,7]=>[5,6,2,1,4,3,7]
[2,4,6,1,5,7,3]=>[5,7,6,2,1,4,3]
[2,4,6,1,7,3,5]=>[7,2,1,4,3,6,5]
[2,4,6,1,7,5,3]=>[7,5,6,2,1,4,3]
[2,4,6,3,1,5,7]=>[6,3,4,2,1,5,7]
[2,4,6,3,1,7,5]=>[7,6,3,4,2,1,5]
[2,4,6,3,5,1,7]=>[5,6,3,4,2,1,7]
[2,4,6,3,5,7,1]=>[5,7,6,3,4,2,1]
[2,4,6,3,7,1,5]=>[7,3,4,2,1,6,5]
[2,4,6,3,7,5,1]=>[7,5,6,3,4,2,1]
[2,4,6,5,1,3,7]=>[5,2,1,6,4,3,7]
[2,4,6,5,1,7,3]=>[5,2,1,7,6,4,3]
[2,4,6,5,3,1,7]=>[5,3,6,4,2,1,7]
[2,4,6,5,3,7,1]=>[5,3,7,6,4,2,1]
[2,4,6,5,7,1,3]=>[7,5,2,1,6,4,3]
[2,4,6,5,7,3,1]=>[7,5,3,6,4,2,1]
[2,4,6,7,1,3,5]=>[7,2,1,6,4,3,5]
[2,4,6,7,1,5,3]=>[7,2,1,5,6,4,3]
[2,4,6,7,3,1,5]=>[7,3,6,4,2,1,5]
[2,4,6,7,3,5,1]=>[7,3,5,6,4,2,1]
[2,4,6,7,5,1,3]=>[5,7,2,1,6,4,3]
[2,4,6,7,5,3,1]=>[5,7,3,6,4,2,1]
[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]
[2,4,7,1,3,6,5]=>[6,7,2,1,4,3,5]
[2,4,7,1,5,3,6]=>[5,7,2,1,4,3,6]
[2,4,7,1,5,6,3]=>[5,6,7,2,1,4,3]
[2,4,7,1,6,3,5]=>[6,2,1,4,3,7,5]
[2,4,7,1,6,5,3]=>[6,5,7,2,1,4,3]
[2,4,7,3,1,5,6]=>[7,3,4,2,1,5,6]
[2,4,7,3,1,6,5]=>[6,7,3,4,2,1,5]
[2,4,7,3,5,1,6]=>[5,7,3,4,2,1,6]
[2,4,7,3,5,6,1]=>[5,6,7,3,4,2,1]
[2,4,7,3,6,1,5]=>[6,3,4,2,1,7,5]
[2,4,7,3,6,5,1]=>[6,5,7,3,4,2,1]
[2,4,7,5,1,3,6]=>[5,2,1,7,4,3,6]
[2,4,7,5,1,6,3]=>[5,2,1,6,7,4,3]
[2,4,7,5,3,1,6]=>[5,3,7,4,2,1,6]
[2,4,7,5,3,6,1]=>[5,3,6,7,4,2,1]
[2,4,7,5,6,1,3]=>[6,5,2,1,7,4,3]
[2,4,7,5,6,3,1]=>[6,5,3,7,4,2,1]
[2,4,7,6,1,3,5]=>[6,2,1,7,4,3,5]
[2,4,7,6,1,5,3]=>[6,2,1,5,7,4,3]
[2,4,7,6,3,1,5]=>[6,3,7,4,2,1,5]
[2,4,7,6,3,5,1]=>[6,3,5,7,4,2,1]
[2,4,7,6,5,1,3]=>[5,6,2,1,7,4,3]
[2,4,7,6,5,3,1]=>[5,6,3,7,4,2,1]
[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]
[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]
[2,5,1,3,6,4,7]=>[6,5,2,1,3,4,7]
[2,5,1,3,6,7,4]=>[7,6,5,2,1,3,4]
[2,5,1,3,7,4,6]=>[7,5,2,1,3,4,6]
[2,5,1,3,7,6,4]=>[6,7,5,2,1,3,4]
[2,5,1,4,3,6,7]=>[4,5,2,1,3,6,7]
[2,5,1,4,3,7,6]=>[4,5,2,1,3,7,6]
[2,5,1,4,6,3,7]=>[4,6,5,2,1,3,7]
[2,5,1,4,6,7,3]=>[4,7,6,5,2,1,3]
[2,5,1,4,7,3,6]=>[4,7,5,2,1,3,6]
[2,5,1,4,7,6,3]=>[4,6,7,5,2,1,3]
[2,5,1,6,3,4,7]=>[6,2,1,3,5,4,7]
[2,5,1,6,3,7,4]=>[7,6,2,1,3,5,4]
[2,5,1,6,4,3,7]=>[6,4,5,2,1,3,7]
[2,5,1,6,4,7,3]=>[7,6,4,5,2,1,3]
[2,5,1,6,7,3,4]=>[7,2,1,3,6,5,4]
[2,5,1,6,7,4,3]=>[7,4,6,5,2,1,3]
[2,5,1,7,3,4,6]=>[7,2,1,3,5,4,6]
[2,5,1,7,3,6,4]=>[6,7,2,1,3,5,4]
[2,5,1,7,4,3,6]=>[7,4,5,2,1,3,6]
[2,5,1,7,4,6,3]=>[6,7,4,5,2,1,3]
[2,5,1,7,6,3,4]=>[6,2,1,3,7,5,4]
[2,5,1,7,6,4,3]=>[6,4,7,5,2,1,3]
[2,5,3,1,4,6,7]=>[3,5,2,1,4,6,7]
[2,5,3,1,4,7,6]=>[3,5,2,1,4,7,6]
[2,5,3,1,6,4,7]=>[3,6,5,2,1,4,7]
[2,5,3,1,6,7,4]=>[3,7,6,5,2,1,4]
[2,5,3,1,7,4,6]=>[3,7,5,2,1,4,6]
[2,5,3,1,7,6,4]=>[3,6,7,5,2,1,4]
[2,5,3,4,1,6,7]=>[3,4,5,2,1,6,7]
[2,5,3,4,1,7,6]=>[3,4,5,2,1,7,6]
[2,5,3,4,6,1,7]=>[3,4,6,5,2,1,7]
[2,5,3,4,6,7,1]=>[3,4,7,6,5,2,1]
[2,5,3,4,7,1,6]=>[3,4,7,5,2,1,6]
[2,5,3,4,7,6,1]=>[3,4,6,7,5,2,1]
[2,5,3,6,1,4,7]=>[3,6,2,1,5,4,7]
[2,5,3,6,1,7,4]=>[3,7,6,2,1,5,4]
[2,5,3,6,4,1,7]=>[3,6,4,5,2,1,7]
[2,5,3,6,4,7,1]=>[3,7,6,4,5,2,1]
[2,5,3,6,7,1,4]=>[3,7,2,1,6,5,4]
[2,5,3,6,7,4,1]=>[3,7,4,6,5,2,1]
[2,5,3,7,1,4,6]=>[3,7,2,1,5,4,6]
[2,5,3,7,1,6,4]=>[3,6,7,2,1,5,4]
[2,5,3,7,4,1,6]=>[3,7,4,5,2,1,6]
[2,5,3,7,4,6,1]=>[3,6,7,4,5,2,1]
[2,5,3,7,6,1,4]=>[3,6,2,1,7,5,4]
[2,5,3,7,6,4,1]=>[3,6,4,7,5,2,1]
[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]
[2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6]
[2,5,4,1,6,3,7]=>[4,2,1,6,5,3,7]
[2,5,4,1,6,7,3]=>[4,2,1,7,6,5,3]
[2,5,4,1,7,3,6]=>[4,2,1,7,5,3,6]
[2,5,4,1,7,6,3]=>[4,2,1,6,7,5,3]
[2,5,4,3,1,6,7]=>[4,3,5,2,1,6,7]
[2,5,4,3,1,7,6]=>[4,3,5,2,1,7,6]
[2,5,4,3,6,1,7]=>[4,3,6,5,2,1,7]
[2,5,4,3,6,7,1]=>[4,3,7,6,5,2,1]
[2,5,4,3,7,1,6]=>[4,3,7,5,2,1,6]
[2,5,4,3,7,6,1]=>[4,3,6,7,5,2,1]
[2,5,4,6,1,3,7]=>[6,4,2,1,5,3,7]
[2,5,4,6,1,7,3]=>[7,6,4,2,1,5,3]
[2,5,4,6,3,1,7]=>[6,4,3,5,2,1,7]
[2,5,4,6,3,7,1]=>[7,6,4,3,5,2,1]
[2,5,4,6,7,1,3]=>[7,4,2,1,6,5,3]
[2,5,4,6,7,3,1]=>[7,4,3,6,5,2,1]
[2,5,4,7,1,3,6]=>[7,4,2,1,5,3,6]
[2,5,4,7,1,6,3]=>[6,7,4,2,1,5,3]
[2,5,4,7,3,1,6]=>[7,4,3,5,2,1,6]
[2,5,4,7,3,6,1]=>[6,7,4,3,5,2,1]
[2,5,4,7,6,1,3]=>[6,4,2,1,7,5,3]
[2,5,4,7,6,3,1]=>[6,4,3,7,5,2,1]
[2,5,6,1,3,4,7]=>[6,2,1,5,3,4,7]
[2,5,6,1,3,7,4]=>[7,6,2,1,5,3,4]
[2,5,6,1,4,3,7]=>[6,2,1,4,5,3,7]
[2,5,6,1,4,7,3]=>[7,6,2,1,4,5,3]
[2,5,6,1,7,3,4]=>[7,2,1,6,5,3,4]
[2,5,6,1,7,4,3]=>[7,2,1,4,6,5,3]
[2,5,6,3,1,4,7]=>[6,3,5,2,1,4,7]
[2,5,6,3,1,7,4]=>[7,6,3,5,2,1,4]
[2,5,6,3,4,1,7]=>[6,3,4,5,2,1,7]
[2,5,6,3,4,7,1]=>[7,6,3,4,5,2,1]
[2,5,6,3,7,1,4]=>[7,3,6,5,2,1,4]
[2,5,6,3,7,4,1]=>[7,3,4,6,5,2,1]
[2,5,6,4,1,3,7]=>[4,6,2,1,5,3,7]
[2,5,6,4,1,7,3]=>[4,7,6,2,1,5,3]
[2,5,6,4,3,1,7]=>[4,6,3,5,2,1,7]
[2,5,6,4,3,7,1]=>[4,7,6,3,5,2,1]
[2,5,6,4,7,1,3]=>[4,7,2,1,6,5,3]
[2,5,6,4,7,3,1]=>[4,7,3,6,5,2,1]
[2,5,6,7,1,3,4]=>[7,2,1,6,3,5,4]
[2,5,6,7,1,4,3]=>[7,2,1,6,4,5,3]
[2,5,6,7,3,1,4]=>[7,3,6,2,1,5,4]
[2,5,6,7,3,4,1]=>[7,3,6,4,5,2,1]
[2,5,6,7,4,1,3]=>[7,4,6,2,1,5,3]
[2,5,6,7,4,3,1]=>[7,4,6,3,5,2,1]
[2,5,7,1,3,4,6]=>[7,2,1,5,3,4,6]
[2,5,7,1,3,6,4]=>[6,7,2,1,5,3,4]
[2,5,7,1,4,3,6]=>[7,2,1,4,5,3,6]
[2,5,7,1,4,6,3]=>[6,7,2,1,4,5,3]
[2,5,7,1,6,3,4]=>[6,2,1,7,5,3,4]
[2,5,7,1,6,4,3]=>[6,2,1,4,7,5,3]
[2,5,7,3,1,4,6]=>[7,3,5,2,1,4,6]
[2,5,7,3,1,6,4]=>[6,7,3,5,2,1,4]
[2,5,7,3,4,1,6]=>[7,3,4,5,2,1,6]
[2,5,7,3,4,6,1]=>[6,7,3,4,5,2,1]
[2,5,7,3,6,1,4]=>[6,3,7,5,2,1,4]
[2,5,7,3,6,4,1]=>[6,3,4,7,5,2,1]
[2,5,7,4,1,3,6]=>[4,7,2,1,5,3,6]
[2,5,7,4,1,6,3]=>[4,6,7,2,1,5,3]
[2,5,7,4,3,1,6]=>[4,7,3,5,2,1,6]
[2,5,7,4,3,6,1]=>[4,6,7,3,5,2,1]
[2,5,7,4,6,1,3]=>[4,6,2,1,7,5,3]
[2,5,7,4,6,3,1]=>[4,6,3,7,5,2,1]
[2,5,7,6,1,3,4]=>[6,2,1,7,3,5,4]
[2,5,7,6,1,4,3]=>[6,2,1,7,4,5,3]
[2,5,7,6,3,1,4]=>[6,3,7,2,1,5,4]
[2,5,7,6,3,4,1]=>[6,3,7,4,5,2,1]
[2,5,7,6,4,1,3]=>[6,4,7,2,1,5,3]
[2,5,7,6,4,3,1]=>[6,4,7,3,5,2,1]
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]
[2,6,1,3,4,7,5]=>[7,6,2,1,3,4,5]
[2,6,1,3,5,4,7]=>[5,6,2,1,3,4,7]
[2,6,1,3,5,7,4]=>[5,7,6,2,1,3,4]
[2,6,1,3,7,4,5]=>[7,2,1,3,4,6,5]
[2,6,1,3,7,5,4]=>[7,5,6,2,1,3,4]
[2,6,1,4,3,5,7]=>[4,6,2,1,3,5,7]
[2,6,1,4,3,7,5]=>[4,7,6,2,1,3,5]
[2,6,1,4,5,3,7]=>[4,5,6,2,1,3,7]
[2,6,1,4,5,7,3]=>[4,5,7,6,2,1,3]
[2,6,1,4,7,3,5]=>[4,7,2,1,3,6,5]
[2,6,1,4,7,5,3]=>[4,7,5,6,2,1,3]
[2,6,1,5,3,4,7]=>[5,2,1,3,6,4,7]
[2,6,1,5,3,7,4]=>[5,2,1,3,7,6,4]
[2,6,1,5,4,3,7]=>[5,4,6,2,1,3,7]
[2,6,1,5,4,7,3]=>[5,4,7,6,2,1,3]
[2,6,1,5,7,3,4]=>[7,5,2,1,3,6,4]
[2,6,1,5,7,4,3]=>[7,5,4,6,2,1,3]
[2,6,1,7,3,4,5]=>[7,2,1,3,6,4,5]
[2,6,1,7,3,5,4]=>[7,2,1,3,5,6,4]
[2,6,1,7,4,3,5]=>[7,4,6,2,1,3,5]
[2,6,1,7,4,5,3]=>[7,4,5,6,2,1,3]
[2,6,1,7,5,3,4]=>[5,7,2,1,3,6,4]
[2,6,1,7,5,4,3]=>[5,7,4,6,2,1,3]
[2,6,3,1,4,5,7]=>[3,6,2,1,4,5,7]
[2,6,3,1,4,7,5]=>[3,7,6,2,1,4,5]
[2,6,3,1,5,4,7]=>[3,5,6,2,1,4,7]
[2,6,3,1,5,7,4]=>[3,5,7,6,2,1,4]
[2,6,3,1,7,4,5]=>[3,7,2,1,4,6,5]
[2,6,3,1,7,5,4]=>[3,7,5,6,2,1,4]
[2,6,3,4,1,5,7]=>[3,4,6,2,1,5,7]
[2,6,3,4,1,7,5]=>[3,4,7,6,2,1,5]
[2,6,3,4,5,1,7]=>[3,4,5,6,2,1,7]
[2,6,3,4,5,7,1]=>[3,4,5,7,6,2,1]
[2,6,3,4,7,1,5]=>[3,4,7,2,1,6,5]
[2,6,3,4,7,5,1]=>[3,4,7,5,6,2,1]
[2,6,3,5,1,4,7]=>[3,5,2,1,6,4,7]
[2,6,3,5,1,7,4]=>[3,5,2,1,7,6,4]
[2,6,3,5,4,1,7]=>[3,5,4,6,2,1,7]
[2,6,3,5,4,7,1]=>[3,5,4,7,6,2,1]
[2,6,3,5,7,1,4]=>[3,7,5,2,1,6,4]
[2,6,3,5,7,4,1]=>[3,7,5,4,6,2,1]
[2,6,3,7,1,4,5]=>[3,7,2,1,6,4,5]
[2,6,3,7,1,5,4]=>[3,7,2,1,5,6,4]
[2,6,3,7,4,1,5]=>[3,7,4,6,2,1,5]
[2,6,3,7,4,5,1]=>[3,7,4,5,6,2,1]
[2,6,3,7,5,1,4]=>[3,5,7,2,1,6,4]
[2,6,3,7,5,4,1]=>[3,5,7,4,6,2,1]
[2,6,4,1,3,5,7]=>[4,2,1,6,3,5,7]
[2,6,4,1,3,7,5]=>[4,2,1,7,6,3,5]
[2,6,4,1,5,3,7]=>[4,2,1,5,6,3,7]
[2,6,4,1,5,7,3]=>[4,2,1,5,7,6,3]
[2,6,4,1,7,3,5]=>[4,2,1,7,3,6,5]
[2,6,4,1,7,5,3]=>[4,2,1,7,5,6,3]
[2,6,4,3,1,5,7]=>[4,3,6,2,1,5,7]
[2,6,4,3,1,7,5]=>[4,3,7,6,2,1,5]
[2,6,4,3,5,1,7]=>[4,3,5,6,2,1,7]
[2,6,4,3,5,7,1]=>[4,3,5,7,6,2,1]
[2,6,4,3,7,1,5]=>[4,3,7,2,1,6,5]
[2,6,4,3,7,5,1]=>[4,3,7,5,6,2,1]
[2,6,4,5,1,3,7]=>[5,4,2,1,6,3,7]
[2,6,4,5,1,7,3]=>[5,4,2,1,7,6,3]
[2,6,4,5,3,1,7]=>[5,4,3,6,2,1,7]
[2,6,4,5,3,7,1]=>[5,4,3,7,6,2,1]
[2,6,4,5,7,1,3]=>[7,5,4,2,1,6,3]
[2,6,4,5,7,3,1]=>[7,5,4,3,6,2,1]
[2,6,4,7,1,3,5]=>[7,4,2,1,6,3,5]
[2,6,4,7,1,5,3]=>[7,4,2,1,5,6,3]
[2,6,4,7,3,1,5]=>[7,4,3,6,2,1,5]
[2,6,4,7,3,5,1]=>[7,4,3,5,6,2,1]
[2,6,4,7,5,1,3]=>[5,7,4,2,1,6,3]
[2,6,4,7,5,3,1]=>[5,7,4,3,6,2,1]
[2,6,5,1,3,4,7]=>[5,2,1,6,3,4,7]
[2,6,5,1,3,7,4]=>[5,2,1,7,6,3,4]
[2,6,5,1,4,3,7]=>[5,2,1,4,6,3,7]
[2,6,5,1,4,7,3]=>[5,2,1,4,7,6,3]
[2,6,5,1,7,3,4]=>[7,5,2,1,6,3,4]
[2,6,5,1,7,4,3]=>[7,5,2,1,4,6,3]
[2,6,5,3,1,4,7]=>[5,3,6,2,1,4,7]
[2,6,5,3,1,7,4]=>[5,3,7,6,2,1,4]
[2,6,5,3,4,1,7]=>[5,3,4,6,2,1,7]
[2,6,5,3,4,7,1]=>[5,3,4,7,6,2,1]
[2,6,5,3,7,1,4]=>[7,5,3,6,2,1,4]
[2,6,5,3,7,4,1]=>[7,5,3,4,6,2,1]
[2,6,5,4,1,3,7]=>[4,5,2,1,6,3,7]
[2,6,5,4,1,7,3]=>[4,5,2,1,7,6,3]
[2,6,5,4,3,1,7]=>[4,5,3,6,2,1,7]
[2,6,5,4,3,7,1]=>[4,5,3,7,6,2,1]
[2,6,5,4,7,1,3]=>[4,7,5,2,1,6,3]
[2,6,5,4,7,3,1]=>[4,7,5,3,6,2,1]
[2,6,5,7,1,3,4]=>[7,2,1,5,3,6,4]
[2,6,5,7,1,4,3]=>[7,2,1,5,4,6,3]
[2,6,5,7,3,1,4]=>[7,3,5,2,1,6,4]
[2,6,5,7,3,4,1]=>[7,3,5,4,6,2,1]
[2,6,5,7,4,1,3]=>[7,4,5,2,1,6,3]
[2,6,5,7,4,3,1]=>[7,4,5,3,6,2,1]
[2,6,7,1,3,4,5]=>[7,2,1,6,3,4,5]
[2,6,7,1,3,5,4]=>[7,2,1,5,6,3,4]
[2,6,7,1,4,3,5]=>[7,2,1,4,6,3,5]
[2,6,7,1,4,5,3]=>[7,2,1,4,5,6,3]
[2,6,7,1,5,3,4]=>[5,7,2,1,6,3,4]
[2,6,7,1,5,4,3]=>[5,7,2,1,4,6,3]
[2,6,7,3,1,4,5]=>[7,3,6,2,1,4,5]
[2,6,7,3,1,5,4]=>[7,3,5,6,2,1,4]
[2,6,7,3,4,1,5]=>[7,3,4,6,2,1,5]
[2,6,7,3,4,5,1]=>[7,3,4,5,6,2,1]
[2,6,7,3,5,1,4]=>[5,7,3,6,2,1,4]
[2,6,7,3,5,4,1]=>[5,7,3,4,6,2,1]
[2,6,7,4,1,3,5]=>[4,7,2,1,6,3,5]
[2,6,7,4,1,5,3]=>[4,7,2,1,5,6,3]
[2,6,7,4,3,1,5]=>[4,7,3,6,2,1,5]
[2,6,7,4,3,5,1]=>[4,7,3,5,6,2,1]
[2,6,7,4,5,1,3]=>[4,5,7,2,1,6,3]
[2,6,7,4,5,3,1]=>[4,5,7,3,6,2,1]
[2,6,7,5,1,3,4]=>[5,2,1,7,3,6,4]
[2,6,7,5,1,4,3]=>[5,2,1,7,4,6,3]
[2,6,7,5,3,1,4]=>[5,3,7,2,1,6,4]
[2,6,7,5,3,4,1]=>[5,3,7,4,6,2,1]
[2,6,7,5,4,1,3]=>[5,4,7,2,1,6,3]
[2,6,7,5,4,3,1]=>[5,4,7,3,6,2,1]
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]
[2,7,1,3,4,6,5]=>[6,7,2,1,3,4,5]
[2,7,1,3,5,4,6]=>[5,7,2,1,3,4,6]
[2,7,1,3,5,6,4]=>[5,6,7,2,1,3,4]
[2,7,1,3,6,4,5]=>[6,2,1,3,4,7,5]
[2,7,1,3,6,5,4]=>[6,5,7,2,1,3,4]
[2,7,1,4,3,5,6]=>[4,7,2,1,3,5,6]
[2,7,1,4,3,6,5]=>[4,6,7,2,1,3,5]
[2,7,1,4,5,3,6]=>[4,5,7,2,1,3,6]
[2,7,1,4,5,6,3]=>[4,5,6,7,2,1,3]
[2,7,1,4,6,3,5]=>[4,6,2,1,3,7,5]
[2,7,1,4,6,5,3]=>[4,6,5,7,2,1,3]
[2,7,1,5,3,4,6]=>[5,2,1,3,7,4,6]
[2,7,1,5,3,6,4]=>[5,2,1,3,6,7,4]
[2,7,1,5,4,3,6]=>[5,4,7,2,1,3,6]
[2,7,1,5,4,6,3]=>[5,4,6,7,2,1,3]
[2,7,1,5,6,3,4]=>[6,5,2,1,3,7,4]
[2,7,1,5,6,4,3]=>[6,5,4,7,2,1,3]
[2,7,1,6,3,4,5]=>[6,2,1,3,7,4,5]
[2,7,1,6,3,5,4]=>[6,2,1,3,5,7,4]
[2,7,1,6,4,3,5]=>[6,4,7,2,1,3,5]
[2,7,1,6,4,5,3]=>[6,4,5,7,2,1,3]
[2,7,1,6,5,3,4]=>[5,6,2,1,3,7,4]
[2,7,1,6,5,4,3]=>[5,6,4,7,2,1,3]
[2,7,3,1,4,5,6]=>[3,7,2,1,4,5,6]
[2,7,3,1,4,6,5]=>[3,6,7,2,1,4,5]
[2,7,3,1,5,4,6]=>[3,5,7,2,1,4,6]
[2,7,3,1,5,6,4]=>[3,5,6,7,2,1,4]
[2,7,3,1,6,4,5]=>[3,6,2,1,4,7,5]
[2,7,3,1,6,5,4]=>[3,6,5,7,2,1,4]
[2,7,3,4,1,5,6]=>[3,4,7,2,1,5,6]
[2,7,3,4,1,6,5]=>[3,4,6,7,2,1,5]
[2,7,3,4,5,1,6]=>[3,4,5,7,2,1,6]
[2,7,3,4,5,6,1]=>[3,4,5,6,7,2,1]
[2,7,3,4,6,1,5]=>[3,4,6,2,1,7,5]
[2,7,3,4,6,5,1]=>[3,4,6,5,7,2,1]
[2,7,3,5,1,4,6]=>[3,5,2,1,7,4,6]
[2,7,3,5,1,6,4]=>[3,5,2,1,6,7,4]
[2,7,3,5,4,1,6]=>[3,5,4,7,2,1,6]
[2,7,3,5,4,6,1]=>[3,5,4,6,7,2,1]
[2,7,3,5,6,1,4]=>[3,6,5,2,1,7,4]
[2,7,3,5,6,4,1]=>[3,6,5,4,7,2,1]
[2,7,3,6,1,4,5]=>[3,6,2,1,7,4,5]
[2,7,3,6,1,5,4]=>[3,6,2,1,5,7,4]
[2,7,3,6,4,1,5]=>[3,6,4,7,2,1,5]
[2,7,3,6,4,5,1]=>[3,6,4,5,7,2,1]
[2,7,3,6,5,1,4]=>[3,5,6,2,1,7,4]
[2,7,3,6,5,4,1]=>[3,5,6,4,7,2,1]
[2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]
[2,7,4,1,3,6,5]=>[4,2,1,6,7,3,5]
[2,7,4,1,5,3,6]=>[4,2,1,5,7,3,6]
[2,7,4,1,5,6,3]=>[4,2,1,5,6,7,3]
[2,7,4,1,6,3,5]=>[4,2,1,6,3,7,5]
[2,7,4,1,6,5,3]=>[4,2,1,6,5,7,3]
[2,7,4,3,1,5,6]=>[4,3,7,2,1,5,6]
[2,7,4,3,1,6,5]=>[4,3,6,7,2,1,5]
[2,7,4,3,5,1,6]=>[4,3,5,7,2,1,6]
[2,7,4,3,5,6,1]=>[4,3,5,6,7,2,1]
[2,7,4,3,6,1,5]=>[4,3,6,2,1,7,5]
[2,7,4,3,6,5,1]=>[4,3,6,5,7,2,1]
[2,7,4,5,1,3,6]=>[5,4,2,1,7,3,6]
[2,7,4,5,1,6,3]=>[5,4,2,1,6,7,3]
[2,7,4,5,3,1,6]=>[5,4,3,7,2,1,6]
[2,7,4,5,3,6,1]=>[5,4,3,6,7,2,1]
[2,7,4,5,6,1,3]=>[6,5,4,2,1,7,3]
[2,7,4,5,6,3,1]=>[6,5,4,3,7,2,1]
[2,7,4,6,1,3,5]=>[6,4,2,1,7,3,5]
[2,7,4,6,1,5,3]=>[6,4,2,1,5,7,3]
[2,7,4,6,3,1,5]=>[6,4,3,7,2,1,5]
[2,7,4,6,3,5,1]=>[6,4,3,5,7,2,1]
[2,7,4,6,5,1,3]=>[5,6,4,2,1,7,3]
[2,7,4,6,5,3,1]=>[5,6,4,3,7,2,1]
[2,7,5,1,3,4,6]=>[5,2,1,7,3,4,6]
[2,7,5,1,3,6,4]=>[5,2,1,6,7,3,4]
[2,7,5,1,4,3,6]=>[5,2,1,4,7,3,6]
[2,7,5,1,4,6,3]=>[5,2,1,4,6,7,3]
[2,7,5,1,6,3,4]=>[6,5,2,1,7,3,4]
[2,7,5,1,6,4,3]=>[6,5,2,1,4,7,3]
[2,7,5,3,1,4,6]=>[5,3,7,2,1,4,6]
[2,7,5,3,1,6,4]=>[5,3,6,7,2,1,4]
[2,7,5,3,4,1,6]=>[5,3,4,7,2,1,6]
[2,7,5,3,4,6,1]=>[5,3,4,6,7,2,1]
[2,7,5,3,6,1,4]=>[6,5,3,7,2,1,4]
[2,7,5,3,6,4,1]=>[6,5,3,4,7,2,1]
[2,7,5,4,1,3,6]=>[4,5,2,1,7,3,6]
[2,7,5,4,1,6,3]=>[4,5,2,1,6,7,3]
[2,7,5,4,3,1,6]=>[4,5,3,7,2,1,6]
[2,7,5,4,3,6,1]=>[4,5,3,6,7,2,1]
[2,7,5,4,6,1,3]=>[4,6,5,2,1,7,3]
[2,7,5,4,6,3,1]=>[4,6,5,3,7,2,1]
[2,7,5,6,1,3,4]=>[6,2,1,5,3,7,4]
[2,7,5,6,1,4,3]=>[6,2,1,5,4,7,3]
[2,7,5,6,3,1,4]=>[6,3,5,2,1,7,4]
[2,7,5,6,3,4,1]=>[6,3,5,4,7,2,1]
[2,7,5,6,4,1,3]=>[6,4,5,2,1,7,3]
[2,7,5,6,4,3,1]=>[6,4,5,3,7,2,1]
[2,7,6,1,3,4,5]=>[6,2,1,7,3,4,5]
[2,7,6,1,3,5,4]=>[6,2,1,5,7,3,4]
[2,7,6,1,4,3,5]=>[6,2,1,4,7,3,5]
[2,7,6,1,4,5,3]=>[6,2,1,4,5,7,3]
[2,7,6,1,5,3,4]=>[5,6,2,1,7,3,4]
[2,7,6,1,5,4,3]=>[5,6,2,1,4,7,3]
[2,7,6,3,1,4,5]=>[6,3,7,2,1,4,5]
[2,7,6,3,1,5,4]=>[6,3,5,7,2,1,4]
[2,7,6,3,4,1,5]=>[6,3,4,7,2,1,5]
[2,7,6,3,4,5,1]=>[6,3,4,5,7,2,1]
[2,7,6,3,5,1,4]=>[5,6,3,7,2,1,4]
[2,7,6,3,5,4,1]=>[5,6,3,4,7,2,1]
[2,7,6,4,1,3,5]=>[4,6,2,1,7,3,5]
[2,7,6,4,1,5,3]=>[4,6,2,1,5,7,3]
[2,7,6,4,3,1,5]=>[4,6,3,7,2,1,5]
[2,7,6,4,3,5,1]=>[4,6,3,5,7,2,1]
[2,7,6,4,5,1,3]=>[4,5,6,2,1,7,3]
[2,7,6,4,5,3,1]=>[4,5,6,3,7,2,1]
[2,7,6,5,1,3,4]=>[5,2,1,6,3,7,4]
[2,7,6,5,1,4,3]=>[5,2,1,6,4,7,3]
[2,7,6,5,3,1,4]=>[5,3,6,2,1,7,4]
[2,7,6,5,3,4,1]=>[5,3,6,4,7,2,1]
[2,7,6,5,4,1,3]=>[5,4,6,2,1,7,3]
[2,7,6,5,4,3,1]=>[5,4,6,3,7,2,1]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]
[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]
[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]
[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]
[3,1,2,5,6,7,4]=>[3,1,2,7,6,5,4]
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]
[3,1,2,5,7,6,4]=>[3,1,2,6,7,5,4]
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]
[3,1,2,6,4,7,5]=>[3,1,2,7,6,4,5]
[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]
[3,1,2,6,5,7,4]=>[3,1,2,5,7,6,4]
[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]
[3,1,2,6,7,5,4]=>[3,1,2,7,5,6,4]
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]
[3,1,2,7,4,6,5]=>[3,1,2,6,7,4,5]
[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]
[3,1,2,7,5,6,4]=>[3,1,2,5,6,7,4]
[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]
[3,1,2,7,6,5,4]=>[3,1,2,6,5,7,4]
[3,1,4,2,5,6,7]=>[4,3,1,2,5,6,7]
[3,1,4,2,5,7,6]=>[4,3,1,2,5,7,6]
[3,1,4,2,6,5,7]=>[4,3,1,2,6,5,7]
[3,1,4,2,6,7,5]=>[4,3,1,2,7,6,5]
[3,1,4,2,7,5,6]=>[4,3,1,2,7,5,6]
[3,1,4,2,7,6,5]=>[4,3,1,2,6,7,5]
[3,1,4,5,2,6,7]=>[5,4,3,1,2,6,7]
[3,1,4,5,2,7,6]=>[5,4,3,1,2,7,6]
[3,1,4,5,6,2,7]=>[6,5,4,3,1,2,7]
[3,1,4,5,6,7,2]=>[7,6,5,4,3,1,2]
[3,1,4,5,7,2,6]=>[7,5,4,3,1,2,6]
[3,1,4,5,7,6,2]=>[6,7,5,4,3,1,2]
[3,1,4,6,2,5,7]=>[6,4,3,1,2,5,7]
[3,1,4,6,2,7,5]=>[7,6,4,3,1,2,5]
[3,1,4,6,5,2,7]=>[5,6,4,3,1,2,7]
[3,1,4,6,5,7,2]=>[5,7,6,4,3,1,2]
[3,1,4,6,7,2,5]=>[7,4,3,1,2,6,5]
[3,1,4,6,7,5,2]=>[7,5,6,4,3,1,2]
[3,1,4,7,2,5,6]=>[7,4,3,1,2,5,6]
[3,1,4,7,2,6,5]=>[6,7,4,3,1,2,5]
[3,1,4,7,5,2,6]=>[5,7,4,3,1,2,6]
[3,1,4,7,5,6,2]=>[5,6,7,4,3,1,2]
[3,1,4,7,6,2,5]=>[6,4,3,1,2,7,5]
[3,1,4,7,6,5,2]=>[6,5,7,4,3,1,2]
[3,1,5,2,4,6,7]=>[5,3,1,2,4,6,7]
[3,1,5,2,4,7,6]=>[5,3,1,2,4,7,6]
[3,1,5,2,6,4,7]=>[6,5,3,1,2,4,7]
[3,1,5,2,6,7,4]=>[7,6,5,3,1,2,4]
[3,1,5,2,7,4,6]=>[7,5,3,1,2,4,6]
[3,1,5,2,7,6,4]=>[6,7,5,3,1,2,4]
[3,1,5,4,2,6,7]=>[4,5,3,1,2,6,7]
[3,1,5,4,2,7,6]=>[4,5,3,1,2,7,6]
[3,1,5,4,6,2,7]=>[4,6,5,3,1,2,7]
[3,1,5,4,6,7,2]=>[4,7,6,5,3,1,2]
[3,1,5,4,7,2,6]=>[4,7,5,3,1,2,6]
[3,1,5,4,7,6,2]=>[4,6,7,5,3,1,2]
[3,1,5,6,2,4,7]=>[6,3,1,2,5,4,7]
[3,1,5,6,2,7,4]=>[7,6,3,1,2,5,4]
[3,1,5,6,4,2,7]=>[6,4,5,3,1,2,7]
[3,1,5,6,4,7,2]=>[7,6,4,5,3,1,2]
[3,1,5,6,7,2,4]=>[7,3,1,2,6,5,4]
[3,1,5,6,7,4,2]=>[7,4,6,5,3,1,2]
[3,1,5,7,2,4,6]=>[7,3,1,2,5,4,6]
[3,1,5,7,2,6,4]=>[6,7,3,1,2,5,4]
[3,1,5,7,4,2,6]=>[7,4,5,3,1,2,6]
[3,1,5,7,4,6,2]=>[6,7,4,5,3,1,2]
[3,1,5,7,6,2,4]=>[6,3,1,2,7,5,4]
[3,1,5,7,6,4,2]=>[6,4,7,5,3,1,2]
[3,1,6,2,4,5,7]=>[6,3,1,2,4,5,7]
[3,1,6,2,4,7,5]=>[7,6,3,1,2,4,5]
[3,1,6,2,5,4,7]=>[5,6,3,1,2,4,7]
[3,1,6,2,5,7,4]=>[5,7,6,3,1,2,4]
[3,1,6,2,7,4,5]=>[7,3,1,2,4,6,5]
[3,1,6,2,7,5,4]=>[7,5,6,3,1,2,4]
[3,1,6,4,2,5,7]=>[4,6,3,1,2,5,7]
[3,1,6,4,2,7,5]=>[4,7,6,3,1,2,5]
[3,1,6,4,5,2,7]=>[4,5,6,3,1,2,7]
[3,1,6,4,5,7,2]=>[4,5,7,6,3,1,2]
[3,1,6,4,7,2,5]=>[4,7,3,1,2,6,5]
[3,1,6,4,7,5,2]=>[4,7,5,6,3,1,2]
[3,1,6,5,2,4,7]=>[5,3,1,2,6,4,7]
[3,1,6,5,2,7,4]=>[5,3,1,2,7,6,4]
[3,1,6,5,4,2,7]=>[5,4,6,3,1,2,7]
[3,1,6,5,4,7,2]=>[5,4,7,6,3,1,2]
[3,1,6,5,7,2,4]=>[7,5,3,1,2,6,4]
[3,1,6,5,7,4,2]=>[7,5,4,6,3,1,2]
[3,1,6,7,2,4,5]=>[7,3,1,2,6,4,5]
[3,1,6,7,2,5,4]=>[7,3,1,2,5,6,4]
[3,1,6,7,4,2,5]=>[7,4,6,3,1,2,5]
[3,1,6,7,4,5,2]=>[7,4,5,6,3,1,2]
[3,1,6,7,5,2,4]=>[5,7,3,1,2,6,4]
[3,1,6,7,5,4,2]=>[5,7,4,6,3,1,2]
[3,1,7,2,4,5,6]=>[7,3,1,2,4,5,6]
[3,1,7,2,4,6,5]=>[6,7,3,1,2,4,5]
[3,1,7,2,5,4,6]=>[5,7,3,1,2,4,6]
[3,1,7,2,5,6,4]=>[5,6,7,3,1,2,4]
[3,1,7,2,6,4,5]=>[6,3,1,2,4,7,5]
[3,1,7,2,6,5,4]=>[6,5,7,3,1,2,4]
[3,1,7,4,2,5,6]=>[4,7,3,1,2,5,6]
[3,1,7,4,2,6,5]=>[4,6,7,3,1,2,5]
[3,1,7,4,5,2,6]=>[4,5,7,3,1,2,6]
[3,1,7,4,5,6,2]=>[4,5,6,7,3,1,2]
[3,1,7,4,6,2,5]=>[4,6,3,1,2,7,5]
[3,1,7,4,6,5,2]=>[4,6,5,7,3,1,2]
[3,1,7,5,2,4,6]=>[5,3,1,2,7,4,6]
[3,1,7,5,2,6,4]=>[5,3,1,2,6,7,4]
[3,1,7,5,4,2,6]=>[5,4,7,3,1,2,6]
[3,1,7,5,4,6,2]=>[5,4,6,7,3,1,2]
[3,1,7,5,6,2,4]=>[6,5,3,1,2,7,4]
[3,1,7,5,6,4,2]=>[6,5,4,7,3,1,2]
[3,1,7,6,2,4,5]=>[6,3,1,2,7,4,5]
[3,1,7,6,2,5,4]=>[6,3,1,2,5,7,4]
[3,1,7,6,4,2,5]=>[6,4,7,3,1,2,5]
[3,1,7,6,4,5,2]=>[6,4,5,7,3,1,2]
[3,1,7,6,5,2,4]=>[5,6,3,1,2,7,4]
[3,1,7,6,5,4,2]=>[5,6,4,7,3,1,2]
[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]
[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]
[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]
[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]
[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]
[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]
[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]
[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]
[3,2,1,5,6,7,4]=>[2,3,1,7,6,5,4]
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]
[3,2,1,5,7,6,4]=>[2,3,1,6,7,5,4]
[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]
[3,2,1,6,4,7,5]=>[2,3,1,7,6,4,5]
[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]
[3,2,1,6,5,7,4]=>[2,3,1,5,7,6,4]
[3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]
[3,2,1,6,7,5,4]=>[2,3,1,7,5,6,4]
[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]
[3,2,1,7,4,6,5]=>[2,3,1,6,7,4,5]
[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]
[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]
[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]
[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]
[3,2,4,1,5,6,7]=>[2,4,3,1,5,6,7]
[3,2,4,1,5,7,6]=>[2,4,3,1,5,7,6]
[3,2,4,1,6,5,7]=>[2,4,3,1,6,5,7]
[3,2,4,1,6,7,5]=>[2,4,3,1,7,6,5]
[3,2,4,1,7,5,6]=>[2,4,3,1,7,5,6]
[3,2,4,1,7,6,5]=>[2,4,3,1,6,7,5]
[3,2,4,5,1,6,7]=>[2,5,4,3,1,6,7]
[3,2,4,5,1,7,6]=>[2,5,4,3,1,7,6]
[3,2,4,5,6,1,7]=>[2,6,5,4,3,1,7]
[3,2,4,5,6,7,1]=>[2,7,6,5,4,3,1]
[3,2,4,5,7,1,6]=>[2,7,5,4,3,1,6]
[3,2,4,5,7,6,1]=>[2,6,7,5,4,3,1]
[3,2,4,6,1,5,7]=>[2,6,4,3,1,5,7]
[3,2,4,6,1,7,5]=>[2,7,6,4,3,1,5]
[3,2,4,6,5,1,7]=>[2,5,6,4,3,1,7]
[3,2,4,6,5,7,1]=>[2,5,7,6,4,3,1]
[3,2,4,6,7,1,5]=>[2,7,4,3,1,6,5]
[3,2,4,6,7,5,1]=>[2,7,5,6,4,3,1]
[3,2,4,7,1,5,6]=>[2,7,4,3,1,5,6]
[3,2,4,7,1,6,5]=>[2,6,7,4,3,1,5]
[3,2,4,7,5,1,6]=>[2,5,7,4,3,1,6]
[3,2,4,7,5,6,1]=>[2,5,6,7,4,3,1]
[3,2,4,7,6,1,5]=>[2,6,4,3,1,7,5]
[3,2,4,7,6,5,1]=>[2,6,5,7,4,3,1]
[3,2,5,1,4,6,7]=>[2,5,3,1,4,6,7]
[3,2,5,1,4,7,6]=>[2,5,3,1,4,7,6]
[3,2,5,1,6,4,7]=>[2,6,5,3,1,4,7]
[3,2,5,1,6,7,4]=>[2,7,6,5,3,1,4]
[3,2,5,1,7,4,6]=>[2,7,5,3,1,4,6]
[3,2,5,1,7,6,4]=>[2,6,7,5,3,1,4]
[3,2,5,4,1,6,7]=>[2,4,5,3,1,6,7]
[3,2,5,4,1,7,6]=>[2,4,5,3,1,7,6]
[3,2,5,4,6,1,7]=>[2,4,6,5,3,1,7]
[3,2,5,4,6,7,1]=>[2,4,7,6,5,3,1]
[3,2,5,4,7,1,6]=>[2,4,7,5,3,1,6]
[3,2,5,4,7,6,1]=>[2,4,6,7,5,3,1]
[3,2,5,6,1,4,7]=>[2,6,3,1,5,4,7]
[3,2,5,6,1,7,4]=>[2,7,6,3,1,5,4]
[3,2,5,6,4,1,7]=>[2,6,4,5,3,1,7]
[3,2,5,6,4,7,1]=>[2,7,6,4,5,3,1]
[3,2,5,6,7,1,4]=>[2,7,3,1,6,5,4]
[3,2,5,6,7,4,1]=>[2,7,4,6,5,3,1]
[3,2,5,7,1,4,6]=>[2,7,3,1,5,4,6]
[3,2,5,7,1,6,4]=>[2,6,7,3,1,5,4]
[3,2,5,7,4,1,6]=>[2,7,4,5,3,1,6]
[3,2,5,7,4,6,1]=>[2,6,7,4,5,3,1]
[3,2,5,7,6,1,4]=>[2,6,3,1,7,5,4]
[3,2,5,7,6,4,1]=>[2,6,4,7,5,3,1]
[3,2,6,1,4,5,7]=>[2,6,3,1,4,5,7]
[3,2,6,1,4,7,5]=>[2,7,6,3,1,4,5]
[3,2,6,1,5,4,7]=>[2,5,6,3,1,4,7]
[3,2,6,1,5,7,4]=>[2,5,7,6,3,1,4]
[3,2,6,1,7,4,5]=>[2,7,3,1,4,6,5]
[3,2,6,1,7,5,4]=>[2,7,5,6,3,1,4]
[3,2,6,4,1,5,7]=>[2,4,6,3,1,5,7]
[3,2,6,4,1,7,5]=>[2,4,7,6,3,1,5]
[3,2,6,4,5,1,7]=>[2,4,5,6,3,1,7]
[3,2,6,4,5,7,1]=>[2,4,5,7,6,3,1]
[3,2,6,4,7,1,5]=>[2,4,7,3,1,6,5]
[3,2,6,4,7,5,1]=>[2,4,7,5,6,3,1]
[3,2,6,5,1,4,7]=>[2,5,3,1,6,4,7]
[3,2,6,5,1,7,4]=>[2,5,3,1,7,6,4]
[3,2,6,5,4,1,7]=>[2,5,4,6,3,1,7]
[3,2,6,5,4,7,1]=>[2,5,4,7,6,3,1]
[3,2,6,5,7,1,4]=>[2,7,5,3,1,6,4]
[3,2,6,5,7,4,1]=>[2,7,5,4,6,3,1]
[3,2,6,7,1,4,5]=>[2,7,3,1,6,4,5]
[3,2,6,7,1,5,4]=>[2,7,3,1,5,6,4]
[3,2,6,7,4,1,5]=>[2,7,4,6,3,1,5]
[3,2,6,7,4,5,1]=>[2,7,4,5,6,3,1]
[3,2,6,7,5,1,4]=>[2,5,7,3,1,6,4]
[3,2,6,7,5,4,1]=>[2,5,7,4,6,3,1]
[3,2,7,1,4,5,6]=>[2,7,3,1,4,5,6]
[3,2,7,1,4,6,5]=>[2,6,7,3,1,4,5]
[3,2,7,1,5,4,6]=>[2,5,7,3,1,4,6]
[3,2,7,1,5,6,4]=>[2,5,6,7,3,1,4]
[3,2,7,1,6,4,5]=>[2,6,3,1,4,7,5]
[3,2,7,1,6,5,4]=>[2,6,5,7,3,1,4]
[3,2,7,4,1,5,6]=>[2,4,7,3,1,5,6]
[3,2,7,4,1,6,5]=>[2,4,6,7,3,1,5]
[3,2,7,4,5,1,6]=>[2,4,5,7,3,1,6]
[3,2,7,4,5,6,1]=>[2,4,5,6,7,3,1]
[3,2,7,4,6,1,5]=>[2,4,6,3,1,7,5]
[3,2,7,4,6,5,1]=>[2,4,6,5,7,3,1]
[3,2,7,5,1,4,6]=>[2,5,3,1,7,4,6]
[3,2,7,5,1,6,4]=>[2,5,3,1,6,7,4]
[3,2,7,5,4,1,6]=>[2,5,4,7,3,1,6]
[3,2,7,5,4,6,1]=>[2,5,4,6,7,3,1]
[3,2,7,5,6,1,4]=>[2,6,5,3,1,7,4]
[3,2,7,5,6,4,1]=>[2,6,5,4,7,3,1]
[3,2,7,6,1,4,5]=>[2,6,3,1,7,4,5]
[3,2,7,6,1,5,4]=>[2,6,3,1,5,7,4]
[3,2,7,6,4,1,5]=>[2,6,4,7,3,1,5]
[3,2,7,6,4,5,1]=>[2,6,4,5,7,3,1]
[3,2,7,6,5,1,4]=>[2,5,6,3,1,7,4]
[3,2,7,6,5,4,1]=>[2,5,6,4,7,3,1]
[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]
[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]
[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]
[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]
[3,4,1,2,7,6,5]=>[4,1,3,2,6,7,5]
[3,4,1,5,2,6,7]=>[5,4,1,3,2,6,7]
[3,4,1,5,2,7,6]=>[5,4,1,3,2,7,6]
[3,4,1,5,6,2,7]=>[6,5,4,1,3,2,7]
[3,4,1,5,6,7,2]=>[7,6,5,4,1,3,2]
[3,4,1,5,7,2,6]=>[7,5,4,1,3,2,6]
[3,4,1,5,7,6,2]=>[6,7,5,4,1,3,2]
[3,4,1,6,2,5,7]=>[6,4,1,3,2,5,7]
[3,4,1,6,2,7,5]=>[7,6,4,1,3,2,5]
[3,4,1,6,5,2,7]=>[5,6,4,1,3,2,7]
[3,4,1,6,5,7,2]=>[5,7,6,4,1,3,2]
[3,4,1,6,7,2,5]=>[7,4,1,3,2,6,5]
[3,4,1,6,7,5,2]=>[7,5,6,4,1,3,2]
[3,4,1,7,2,5,6]=>[7,4,1,3,2,5,6]
[3,4,1,7,2,6,5]=>[6,7,4,1,3,2,5]
[3,4,1,7,5,2,6]=>[5,7,4,1,3,2,6]
[3,4,1,7,5,6,2]=>[5,6,7,4,1,3,2]
[3,4,1,7,6,2,5]=>[6,4,1,3,2,7,5]
[3,4,1,7,6,5,2]=>[6,5,7,4,1,3,2]
[3,4,2,1,5,6,7]=>[4,2,3,1,5,6,7]
[3,4,2,1,5,7,6]=>[4,2,3,1,5,7,6]
[3,4,2,1,6,5,7]=>[4,2,3,1,6,5,7]
[3,4,2,1,6,7,5]=>[4,2,3,1,7,6,5]
[3,4,2,1,7,5,6]=>[4,2,3,1,7,5,6]
[3,4,2,1,7,6,5]=>[4,2,3,1,6,7,5]
[3,4,2,5,1,6,7]=>[5,4,2,3,1,6,7]
[3,4,2,5,1,7,6]=>[5,4,2,3,1,7,6]
[3,4,2,5,6,1,7]=>[6,5,4,2,3,1,7]
[3,4,2,5,6,7,1]=>[7,6,5,4,2,3,1]
[3,4,2,5,7,1,6]=>[7,5,4,2,3,1,6]
[3,4,2,5,7,6,1]=>[6,7,5,4,2,3,1]
[3,4,2,6,1,5,7]=>[6,4,2,3,1,5,7]
[3,4,2,6,1,7,5]=>[7,6,4,2,3,1,5]
[3,4,2,6,5,1,7]=>[5,6,4,2,3,1,7]
[3,4,2,6,5,7,1]=>[5,7,6,4,2,3,1]
[3,4,2,6,7,1,5]=>[7,4,2,3,1,6,5]
[3,4,2,6,7,5,1]=>[7,5,6,4,2,3,1]
[3,4,2,7,1,5,6]=>[7,4,2,3,1,5,6]
[3,4,2,7,1,6,5]=>[6,7,4,2,3,1,5]
[3,4,2,7,5,1,6]=>[5,7,4,2,3,1,6]
[3,4,2,7,5,6,1]=>[5,6,7,4,2,3,1]
[3,4,2,7,6,1,5]=>[6,4,2,3,1,7,5]
[3,4,2,7,6,5,1]=>[6,5,7,4,2,3,1]
[3,4,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[3,4,5,1,2,7,6]=>[5,1,4,3,2,7,6]
[3,4,5,1,6,2,7]=>[6,5,1,4,3,2,7]
[3,4,5,1,6,7,2]=>[7,6,5,1,4,3,2]
[3,4,5,1,7,2,6]=>[7,5,1,4,3,2,6]
[3,4,5,1,7,6,2]=>[6,7,5,1,4,3,2]
[3,4,5,2,1,6,7]=>[5,2,4,3,1,6,7]
[3,4,5,2,1,7,6]=>[5,2,4,3,1,7,6]
[3,4,5,2,6,1,7]=>[6,5,2,4,3,1,7]
[3,4,5,2,6,7,1]=>[7,6,5,2,4,3,1]
[3,4,5,2,7,1,6]=>[7,5,2,4,3,1,6]
[3,4,5,2,7,6,1]=>[6,7,5,2,4,3,1]
[3,4,5,6,1,2,7]=>[6,1,5,4,3,2,7]
[3,4,5,6,1,7,2]=>[7,6,1,5,4,3,2]
[3,4,5,6,2,1,7]=>[6,2,5,4,3,1,7]
[3,4,5,6,2,7,1]=>[7,6,2,5,4,3,1]
[3,4,5,6,7,1,2]=>[7,1,6,5,4,3,2]
[3,4,5,6,7,2,1]=>[7,2,6,5,4,3,1]
[3,4,5,7,1,2,6]=>[7,1,5,4,3,2,6]
[3,4,5,7,1,6,2]=>[6,7,1,5,4,3,2]
[3,4,5,7,2,1,6]=>[7,2,5,4,3,1,6]
[3,4,5,7,2,6,1]=>[6,7,2,5,4,3,1]
[3,4,5,7,6,1,2]=>[6,1,7,5,4,3,2]
[3,4,5,7,6,2,1]=>[6,2,7,5,4,3,1]
[3,4,6,1,2,5,7]=>[6,1,4,3,2,5,7]
[3,4,6,1,2,7,5]=>[7,6,1,4,3,2,5]
[3,4,6,1,5,2,7]=>[5,6,1,4,3,2,7]
[3,4,6,1,5,7,2]=>[5,7,6,1,4,3,2]
[3,4,6,1,7,2,5]=>[7,1,4,3,2,6,5]
[3,4,6,1,7,5,2]=>[7,5,6,1,4,3,2]
[3,4,6,2,1,5,7]=>[6,2,4,3,1,5,7]
[3,4,6,2,1,7,5]=>[7,6,2,4,3,1,5]
[3,4,6,2,5,1,7]=>[5,6,2,4,3,1,7]
[3,4,6,2,5,7,1]=>[5,7,6,2,4,3,1]
[3,4,6,2,7,1,5]=>[7,2,4,3,1,6,5]
[3,4,6,2,7,5,1]=>[7,5,6,2,4,3,1]
[3,4,6,5,1,2,7]=>[5,1,6,4,3,2,7]
[3,4,6,5,1,7,2]=>[5,1,7,6,4,3,2]
[3,4,6,5,2,1,7]=>[5,2,6,4,3,1,7]
[3,4,6,5,2,7,1]=>[5,2,7,6,4,3,1]
[3,4,6,5,7,1,2]=>[7,5,1,6,4,3,2]
[3,4,6,5,7,2,1]=>[7,5,2,6,4,3,1]
[3,4,6,7,1,2,5]=>[7,1,6,4,3,2,5]
[3,4,6,7,1,5,2]=>[7,1,5,6,4,3,2]
[3,4,6,7,2,1,5]=>[7,2,6,4,3,1,5]
[3,4,6,7,2,5,1]=>[7,2,5,6,4,3,1]
[3,4,6,7,5,1,2]=>[5,7,1,6,4,3,2]
[3,4,6,7,5,2,1]=>[5,7,2,6,4,3,1]
[3,4,7,1,2,5,6]=>[7,1,4,3,2,5,6]
[3,4,7,1,2,6,5]=>[6,7,1,4,3,2,5]
[3,4,7,1,5,2,6]=>[5,7,1,4,3,2,6]
[3,4,7,1,5,6,2]=>[5,6,7,1,4,3,2]
[3,4,7,1,6,2,5]=>[6,1,4,3,2,7,5]
[3,4,7,1,6,5,2]=>[6,5,7,1,4,3,2]
[3,4,7,2,1,5,6]=>[7,2,4,3,1,5,6]
[3,4,7,2,1,6,5]=>[6,7,2,4,3,1,5]
[3,4,7,2,5,1,6]=>[5,7,2,4,3,1,6]
[3,4,7,2,5,6,1]=>[5,6,7,2,4,3,1]
[3,4,7,2,6,1,5]=>[6,2,4,3,1,7,5]
[3,4,7,2,6,5,1]=>[6,5,7,2,4,3,1]
[3,4,7,5,1,2,6]=>[5,1,7,4,3,2,6]
[3,4,7,5,1,6,2]=>[5,1,6,7,4,3,2]
[3,4,7,5,2,1,6]=>[5,2,7,4,3,1,6]
[3,4,7,5,2,6,1]=>[5,2,6,7,4,3,1]
[3,4,7,5,6,1,2]=>[6,5,1,7,4,3,2]
[3,4,7,5,6,2,1]=>[6,5,2,7,4,3,1]
[3,4,7,6,1,2,5]=>[6,1,7,4,3,2,5]
[3,4,7,6,1,5,2]=>[6,1,5,7,4,3,2]
[3,4,7,6,2,1,5]=>[6,2,7,4,3,1,5]
[3,4,7,6,2,5,1]=>[6,2,5,7,4,3,1]
[3,4,7,6,5,1,2]=>[5,6,1,7,4,3,2]
[3,4,7,6,5,2,1]=>[5,6,2,7,4,3,1]
[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]
[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]
[3,5,1,2,6,4,7]=>[6,5,1,3,2,4,7]
[3,5,1,2,6,7,4]=>[7,6,5,1,3,2,4]
[3,5,1,2,7,4,6]=>[7,5,1,3,2,4,6]
[3,5,1,2,7,6,4]=>[6,7,5,1,3,2,4]
[3,5,1,4,2,6,7]=>[4,5,1,3,2,6,7]
[3,5,1,4,2,7,6]=>[4,5,1,3,2,7,6]
[3,5,1,4,6,2,7]=>[4,6,5,1,3,2,7]
[3,5,1,4,6,7,2]=>[4,7,6,5,1,3,2]
[3,5,1,4,7,2,6]=>[4,7,5,1,3,2,6]
[3,5,1,4,7,6,2]=>[4,6,7,5,1,3,2]
[3,5,1,6,2,4,7]=>[6,1,3,2,5,4,7]
[3,5,1,6,2,7,4]=>[7,6,1,3,2,5,4]
[3,5,1,6,4,2,7]=>[6,4,5,1,3,2,7]
[3,5,1,6,4,7,2]=>[7,6,4,5,1,3,2]
[3,5,1,6,7,2,4]=>[7,1,3,2,6,5,4]
[3,5,1,6,7,4,2]=>[7,4,6,5,1,3,2]
[3,5,1,7,2,4,6]=>[7,1,3,2,5,4,6]
[3,5,1,7,2,6,4]=>[6,7,1,3,2,5,4]
[3,5,1,7,4,2,6]=>[7,4,5,1,3,2,6]
[3,5,1,7,4,6,2]=>[6,7,4,5,1,3,2]
[3,5,1,7,6,2,4]=>[6,1,3,2,7,5,4]
[3,5,1,7,6,4,2]=>[6,4,7,5,1,3,2]
[3,5,2,1,4,6,7]=>[5,2,3,1,4,6,7]
[3,5,2,1,4,7,6]=>[5,2,3,1,4,7,6]
[3,5,2,1,6,4,7]=>[6,5,2,3,1,4,7]
[3,5,2,1,6,7,4]=>[7,6,5,2,3,1,4]
[3,5,2,1,7,4,6]=>[7,5,2,3,1,4,6]
[3,5,2,1,7,6,4]=>[6,7,5,2,3,1,4]
[3,5,2,4,1,6,7]=>[4,5,2,3,1,6,7]
[3,5,2,4,1,7,6]=>[4,5,2,3,1,7,6]
[3,5,2,4,6,1,7]=>[4,6,5,2,3,1,7]
[3,5,2,4,6,7,1]=>[4,7,6,5,2,3,1]
[3,5,2,4,7,1,6]=>[4,7,5,2,3,1,6]
[3,5,2,4,7,6,1]=>[4,6,7,5,2,3,1]
[3,5,2,6,1,4,7]=>[6,2,3,1,5,4,7]
[3,5,2,6,1,7,4]=>[7,6,2,3,1,5,4]
[3,5,2,6,4,1,7]=>[6,4,5,2,3,1,7]
[3,5,2,6,4,7,1]=>[7,6,4,5,2,3,1]
[3,5,2,6,7,1,4]=>[7,2,3,1,6,5,4]
[3,5,2,6,7,4,1]=>[7,4,6,5,2,3,1]
[3,5,2,7,1,4,6]=>[7,2,3,1,5,4,6]
[3,5,2,7,1,6,4]=>[6,7,2,3,1,5,4]
[3,5,2,7,4,1,6]=>[7,4,5,2,3,1,6]
[3,5,2,7,4,6,1]=>[6,7,4,5,2,3,1]
[3,5,2,7,6,1,4]=>[6,2,3,1,7,5,4]
[3,5,2,7,6,4,1]=>[6,4,7,5,2,3,1]
[3,5,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[3,5,4,1,2,7,6]=>[4,1,5,3,2,7,6]
[3,5,4,1,6,2,7]=>[4,1,6,5,3,2,7]
[3,5,4,1,6,7,2]=>[4,1,7,6,5,3,2]
[3,5,4,1,7,2,6]=>[4,1,7,5,3,2,6]
[3,5,4,1,7,6,2]=>[4,1,6,7,5,3,2]
[3,5,4,2,1,6,7]=>[4,2,5,3,1,6,7]
[3,5,4,2,1,7,6]=>[4,2,5,3,1,7,6]
[3,5,4,2,6,1,7]=>[4,2,6,5,3,1,7]
[3,5,4,2,6,7,1]=>[4,2,7,6,5,3,1]
[3,5,4,2,7,1,6]=>[4,2,7,5,3,1,6]
[3,5,4,2,7,6,1]=>[4,2,6,7,5,3,1]
[3,5,4,6,1,2,7]=>[6,4,1,5,3,2,7]
[3,5,4,6,1,7,2]=>[7,6,4,1,5,3,2]
[3,5,4,6,2,1,7]=>[6,4,2,5,3,1,7]
[3,5,4,6,2,7,1]=>[7,6,4,2,5,3,1]
[3,5,4,6,7,1,2]=>[7,4,1,6,5,3,2]
[3,5,4,6,7,2,1]=>[7,4,2,6,5,3,1]
[3,5,4,7,1,2,6]=>[7,4,1,5,3,2,6]
[3,5,4,7,1,6,2]=>[6,7,4,1,5,3,2]
[3,5,4,7,2,1,6]=>[7,4,2,5,3,1,6]
[3,5,4,7,2,6,1]=>[6,7,4,2,5,3,1]
[3,5,4,7,6,1,2]=>[6,4,1,7,5,3,2]
[3,5,4,7,6,2,1]=>[6,4,2,7,5,3,1]
[3,5,6,1,2,4,7]=>[6,1,5,3,2,4,7]
[3,5,6,1,2,7,4]=>[7,6,1,5,3,2,4]
[3,5,6,1,4,2,7]=>[6,1,4,5,3,2,7]
[3,5,6,1,4,7,2]=>[7,6,1,4,5,3,2]
[3,5,6,1,7,2,4]=>[7,1,6,5,3,2,4]
[3,5,6,1,7,4,2]=>[7,1,4,6,5,3,2]
[3,5,6,2,1,4,7]=>[6,2,5,3,1,4,7]
[3,5,6,2,1,7,4]=>[7,6,2,5,3,1,4]
[3,5,6,2,4,1,7]=>[6,2,4,5,3,1,7]
[3,5,6,2,4,7,1]=>[7,6,2,4,5,3,1]
[3,5,6,2,7,1,4]=>[7,2,6,5,3,1,4]
[3,5,6,2,7,4,1]=>[7,2,4,6,5,3,1]
[3,5,6,4,1,2,7]=>[4,6,1,5,3,2,7]
[3,5,6,4,1,7,2]=>[4,7,6,1,5,3,2]
[3,5,6,4,2,1,7]=>[4,6,2,5,3,1,7]
[3,5,6,4,2,7,1]=>[4,7,6,2,5,3,1]
[3,5,6,4,7,1,2]=>[4,7,1,6,5,3,2]
[3,5,6,4,7,2,1]=>[4,7,2,6,5,3,1]
[3,5,6,7,1,2,4]=>[7,1,6,3,2,5,4]
[3,5,6,7,1,4,2]=>[7,1,6,4,5,3,2]
[3,5,6,7,2,1,4]=>[7,2,6,3,1,5,4]
[3,5,6,7,2,4,1]=>[7,2,6,4,5,3,1]
[3,5,6,7,4,1,2]=>[7,4,6,1,5,3,2]
[3,5,6,7,4,2,1]=>[7,4,6,2,5,3,1]
[3,5,7,1,2,4,6]=>[7,1,5,3,2,4,6]
[3,5,7,1,2,6,4]=>[6,7,1,5,3,2,4]
[3,5,7,1,4,2,6]=>[7,1,4,5,3,2,6]
[3,5,7,1,4,6,2]=>[6,7,1,4,5,3,2]
[3,5,7,1,6,2,4]=>[6,1,7,5,3,2,4]
[3,5,7,1,6,4,2]=>[6,1,4,7,5,3,2]
[3,5,7,2,1,4,6]=>[7,2,5,3,1,4,6]
[3,5,7,2,1,6,4]=>[6,7,2,5,3,1,4]
[3,5,7,2,4,1,6]=>[7,2,4,5,3,1,6]
[3,5,7,2,4,6,1]=>[6,7,2,4,5,3,1]
[3,5,7,2,6,1,4]=>[6,2,7,5,3,1,4]
[3,5,7,2,6,4,1]=>[6,2,4,7,5,3,1]
[3,5,7,4,1,2,6]=>[4,7,1,5,3,2,6]
[3,5,7,4,1,6,2]=>[4,6,7,1,5,3,2]
[3,5,7,4,2,1,6]=>[4,7,2,5,3,1,6]
[3,5,7,4,2,6,1]=>[4,6,7,2,5,3,1]
[3,5,7,4,6,1,2]=>[4,6,1,7,5,3,2]
[3,5,7,4,6,2,1]=>[4,6,2,7,5,3,1]
[3,5,7,6,1,2,4]=>[6,1,7,3,2,5,4]
[3,5,7,6,1,4,2]=>[6,1,7,4,5,3,2]
[3,5,7,6,2,1,4]=>[6,2,7,3,1,5,4]
[3,5,7,6,2,4,1]=>[6,2,7,4,5,3,1]
[3,5,7,6,4,1,2]=>[6,4,7,1,5,3,2]
[3,5,7,6,4,2,1]=>[6,4,7,2,5,3,1]
[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]
[3,6,1,2,4,7,5]=>[7,6,1,3,2,4,5]
[3,6,1,2,5,4,7]=>[5,6,1,3,2,4,7]
[3,6,1,2,5,7,4]=>[5,7,6,1,3,2,4]
[3,6,1,2,7,4,5]=>[7,1,3,2,4,6,5]
[3,6,1,2,7,5,4]=>[7,5,6,1,3,2,4]
[3,6,1,4,2,5,7]=>[4,6,1,3,2,5,7]
[3,6,1,4,2,7,5]=>[4,7,6,1,3,2,5]
[3,6,1,4,5,2,7]=>[4,5,6,1,3,2,7]
[3,6,1,4,5,7,2]=>[4,5,7,6,1,3,2]
[3,6,1,4,7,2,5]=>[4,7,1,3,2,6,5]
[3,6,1,4,7,5,2]=>[4,7,5,6,1,3,2]
[3,6,1,5,2,4,7]=>[5,1,3,2,6,4,7]
[3,6,1,5,2,7,4]=>[5,1,3,2,7,6,4]
[3,6,1,5,4,2,7]=>[5,4,6,1,3,2,7]
[3,6,1,5,4,7,2]=>[5,4,7,6,1,3,2]
[3,6,1,5,7,2,4]=>[7,5,1,3,2,6,4]
[3,6,1,5,7,4,2]=>[7,5,4,6,1,3,2]
[3,6,1,7,2,4,5]=>[7,1,3,2,6,4,5]
[3,6,1,7,2,5,4]=>[7,1,3,2,5,6,4]
[3,6,1,7,4,2,5]=>[7,4,6,1,3,2,5]
[3,6,1,7,4,5,2]=>[7,4,5,6,1,3,2]
[3,6,1,7,5,2,4]=>[5,7,1,3,2,6,4]
[3,6,1,7,5,4,2]=>[5,7,4,6,1,3,2]
[3,6,2,1,4,5,7]=>[6,2,3,1,4,5,7]
[3,6,2,1,4,7,5]=>[7,6,2,3,1,4,5]
[3,6,2,1,5,4,7]=>[5,6,2,3,1,4,7]
[3,6,2,1,5,7,4]=>[5,7,6,2,3,1,4]
[3,6,2,1,7,4,5]=>[7,2,3,1,4,6,5]
[3,6,2,1,7,5,4]=>[7,5,6,2,3,1,4]
[3,6,2,4,1,5,7]=>[4,6,2,3,1,5,7]
[3,6,2,4,1,7,5]=>[4,7,6,2,3,1,5]
[3,6,2,4,5,1,7]=>[4,5,6,2,3,1,7]
[3,6,2,4,5,7,1]=>[4,5,7,6,2,3,1]
[3,6,2,4,7,1,5]=>[4,7,2,3,1,6,5]
[3,6,2,4,7,5,1]=>[4,7,5,6,2,3,1]
[3,6,2,5,1,4,7]=>[5,2,3,1,6,4,7]
[3,6,2,5,1,7,4]=>[5,2,3,1,7,6,4]
[3,6,2,5,4,1,7]=>[5,4,6,2,3,1,7]
[3,6,2,5,4,7,1]=>[5,4,7,6,2,3,1]
[3,6,2,5,7,1,4]=>[7,5,2,3,1,6,4]
[3,6,2,5,7,4,1]=>[7,5,4,6,2,3,1]
[3,6,2,7,1,4,5]=>[7,2,3,1,6,4,5]
[3,6,2,7,1,5,4]=>[7,2,3,1,5,6,4]
[3,6,2,7,4,1,5]=>[7,4,6,2,3,1,5]
[3,6,2,7,4,5,1]=>[7,4,5,6,2,3,1]
[3,6,2,7,5,1,4]=>[5,7,2,3,1,6,4]
[3,6,2,7,5,4,1]=>[5,7,4,6,2,3,1]
[3,6,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[3,6,4,1,2,7,5]=>[4,1,7,6,3,2,5]
[3,6,4,1,5,2,7]=>[4,1,5,6,3,2,7]
[3,6,4,1,5,7,2]=>[4,1,5,7,6,3,2]
[3,6,4,1,7,2,5]=>[4,1,7,3,2,6,5]
[3,6,4,1,7,5,2]=>[4,1,7,5,6,3,2]
[3,6,4,2,1,5,7]=>[4,2,6,3,1,5,7]
[3,6,4,2,1,7,5]=>[4,2,7,6,3,1,5]
[3,6,4,2,5,1,7]=>[4,2,5,6,3,1,7]
[3,6,4,2,5,7,1]=>[4,2,5,7,6,3,1]
[3,6,4,2,7,1,5]=>[4,2,7,3,1,6,5]
[3,6,4,2,7,5,1]=>[4,2,7,5,6,3,1]
[3,6,4,5,1,2,7]=>[5,4,1,6,3,2,7]
[3,6,4,5,1,7,2]=>[5,4,1,7,6,3,2]
[3,6,4,5,2,1,7]=>[5,4,2,6,3,1,7]
[3,6,4,5,2,7,1]=>[5,4,2,7,6,3,1]
[3,6,4,5,7,1,2]=>[7,5,4,1,6,3,2]
[3,6,4,5,7,2,1]=>[7,5,4,2,6,3,1]
[3,6,4,7,1,2,5]=>[7,4,1,6,3,2,5]
[3,6,4,7,1,5,2]=>[7,4,1,5,6,3,2]
[3,6,4,7,2,1,5]=>[7,4,2,6,3,1,5]
[3,6,4,7,2,5,1]=>[7,4,2,5,6,3,1]
[3,6,4,7,5,1,2]=>[5,7,4,1,6,3,2]
[3,6,4,7,5,2,1]=>[5,7,4,2,6,3,1]
[3,6,5,1,2,4,7]=>[5,1,6,3,2,4,7]
[3,6,5,1,2,7,4]=>[5,1,7,6,3,2,4]
[3,6,5,1,4,2,7]=>[5,1,4,6,3,2,7]
[3,6,5,1,4,7,2]=>[5,1,4,7,6,3,2]
[3,6,5,1,7,2,4]=>[7,5,1,6,3,2,4]
[3,6,5,1,7,4,2]=>[7,5,1,4,6,3,2]
[3,6,5,2,1,4,7]=>[5,2,6,3,1,4,7]
[3,6,5,2,1,7,4]=>[5,2,7,6,3,1,4]
[3,6,5,2,4,1,7]=>[5,2,4,6,3,1,7]
[3,6,5,2,4,7,1]=>[5,2,4,7,6,3,1]
[3,6,5,2,7,1,4]=>[7,5,2,6,3,1,4]
[3,6,5,2,7,4,1]=>[7,5,2,4,6,3,1]
[3,6,5,4,1,2,7]=>[4,5,1,6,3,2,7]
[3,6,5,4,1,7,2]=>[4,5,1,7,6,3,2]
[3,6,5,4,2,1,7]=>[4,5,2,6,3,1,7]
[3,6,5,4,2,7,1]=>[4,5,2,7,6,3,1]
[3,6,5,4,7,1,2]=>[4,7,5,1,6,3,2]
[3,6,5,4,7,2,1]=>[4,7,5,2,6,3,1]
[3,6,5,7,1,2,4]=>[7,1,5,3,2,6,4]
[3,6,5,7,1,4,2]=>[7,1,5,4,6,3,2]
[3,6,5,7,2,1,4]=>[7,2,5,3,1,6,4]
[3,6,5,7,2,4,1]=>[7,2,5,4,6,3,1]
[3,6,5,7,4,1,2]=>[7,4,5,1,6,3,2]
[3,6,5,7,4,2,1]=>[7,4,5,2,6,3,1]
[3,6,7,1,2,4,5]=>[7,1,6,3,2,4,5]
[3,6,7,1,2,5,4]=>[7,1,5,6,3,2,4]
[3,6,7,1,4,2,5]=>[7,1,4,6,3,2,5]
[3,6,7,1,4,5,2]=>[7,1,4,5,6,3,2]
[3,6,7,1,5,2,4]=>[5,7,1,6,3,2,4]
[3,6,7,1,5,4,2]=>[5,7,1,4,6,3,2]
[3,6,7,2,1,4,5]=>[7,2,6,3,1,4,5]
[3,6,7,2,1,5,4]=>[7,2,5,6,3,1,4]
[3,6,7,2,4,1,5]=>[7,2,4,6,3,1,5]
[3,6,7,2,4,5,1]=>[7,2,4,5,6,3,1]
[3,6,7,2,5,1,4]=>[5,7,2,6,3,1,4]
[3,6,7,2,5,4,1]=>[5,7,2,4,6,3,1]
[3,6,7,4,1,2,5]=>[4,7,1,6,3,2,5]
[3,6,7,4,1,5,2]=>[4,7,1,5,6,3,2]
[3,6,7,4,2,1,5]=>[4,7,2,6,3,1,5]
[3,6,7,4,2,5,1]=>[4,7,2,5,6,3,1]
[3,6,7,4,5,1,2]=>[4,5,7,1,6,3,2]
[3,6,7,4,5,2,1]=>[4,5,7,2,6,3,1]
[3,6,7,5,1,2,4]=>[5,1,7,3,2,6,4]
[3,6,7,5,1,4,2]=>[5,1,7,4,6,3,2]
[3,6,7,5,2,1,4]=>[5,2,7,3,1,6,4]
[3,6,7,5,2,4,1]=>[5,2,7,4,6,3,1]
[3,6,7,5,4,1,2]=>[5,4,7,1,6,3,2]
[3,6,7,5,4,2,1]=>[5,4,7,2,6,3,1]
[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]
[3,7,1,2,4,6,5]=>[6,7,1,3,2,4,5]
[3,7,1,2,5,4,6]=>[5,7,1,3,2,4,6]
[3,7,1,2,5,6,4]=>[5,6,7,1,3,2,4]
[3,7,1,2,6,4,5]=>[6,1,3,2,4,7,5]
[3,7,1,2,6,5,4]=>[6,5,7,1,3,2,4]
[3,7,1,4,2,5,6]=>[4,7,1,3,2,5,6]
[3,7,1,4,2,6,5]=>[4,6,7,1,3,2,5]
[3,7,1,4,5,2,6]=>[4,5,7,1,3,2,6]
[3,7,1,4,5,6,2]=>[4,5,6,7,1,3,2]
[3,7,1,4,6,2,5]=>[4,6,1,3,2,7,5]
[3,7,1,4,6,5,2]=>[4,6,5,7,1,3,2]
[3,7,1,5,2,4,6]=>[5,1,3,2,7,4,6]
[3,7,1,5,2,6,4]=>[5,1,3,2,6,7,4]
[3,7,1,5,4,2,6]=>[5,4,7,1,3,2,6]
[3,7,1,5,4,6,2]=>[5,4,6,7,1,3,2]
[3,7,1,5,6,2,4]=>[6,5,1,3,2,7,4]
[3,7,1,5,6,4,2]=>[6,5,4,7,1,3,2]
[3,7,1,6,2,4,5]=>[6,1,3,2,7,4,5]
[3,7,1,6,2,5,4]=>[6,1,3,2,5,7,4]
[3,7,1,6,4,2,5]=>[6,4,7,1,3,2,5]
[3,7,1,6,4,5,2]=>[6,4,5,7,1,3,2]
[3,7,1,6,5,2,4]=>[5,6,1,3,2,7,4]
[3,7,1,6,5,4,2]=>[5,6,4,7,1,3,2]
[3,7,2,1,4,5,6]=>[7,2,3,1,4,5,6]
[3,7,2,1,4,6,5]=>[6,7,2,3,1,4,5]
[3,7,2,1,5,4,6]=>[5,7,2,3,1,4,6]
[3,7,2,1,5,6,4]=>[5,6,7,2,3,1,4]
[3,7,2,1,6,4,5]=>[6,2,3,1,4,7,5]
[3,7,2,1,6,5,4]=>[6,5,7,2,3,1,4]
[3,7,2,4,1,5,6]=>[4,7,2,3,1,5,6]
[3,7,2,4,1,6,5]=>[4,6,7,2,3,1,5]
[3,7,2,4,5,1,6]=>[4,5,7,2,3,1,6]
[3,7,2,4,5,6,1]=>[4,5,6,7,2,3,1]
[3,7,2,4,6,1,5]=>[4,6,2,3,1,7,5]
[3,7,2,4,6,5,1]=>[4,6,5,7,2,3,1]
[3,7,2,5,1,4,6]=>[5,2,3,1,7,4,6]
[3,7,2,5,1,6,4]=>[5,2,3,1,6,7,4]
[3,7,2,5,4,1,6]=>[5,4,7,2,3,1,6]
[3,7,2,5,4,6,1]=>[5,4,6,7,2,3,1]
[3,7,2,5,6,1,4]=>[6,5,2,3,1,7,4]
[3,7,2,5,6,4,1]=>[6,5,4,7,2,3,1]
[3,7,2,6,1,4,5]=>[6,2,3,1,7,4,5]
[3,7,2,6,1,5,4]=>[6,2,3,1,5,7,4]
[3,7,2,6,4,1,5]=>[6,4,7,2,3,1,5]
[3,7,2,6,4,5,1]=>[6,4,5,7,2,3,1]
[3,7,2,6,5,1,4]=>[5,6,2,3,1,7,4]
[3,7,2,6,5,4,1]=>[5,6,4,7,2,3,1]
[3,7,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[3,7,4,1,2,6,5]=>[4,1,6,7,3,2,5]
[3,7,4,1,5,2,6]=>[4,1,5,7,3,2,6]
[3,7,4,1,5,6,2]=>[4,1,5,6,7,3,2]
[3,7,4,1,6,2,5]=>[4,1,6,3,2,7,5]
[3,7,4,1,6,5,2]=>[4,1,6,5,7,3,2]
[3,7,4,2,1,5,6]=>[4,2,7,3,1,5,6]
[3,7,4,2,1,6,5]=>[4,2,6,7,3,1,5]
[3,7,4,2,5,1,6]=>[4,2,5,7,3,1,6]
[3,7,4,2,5,6,1]=>[4,2,5,6,7,3,1]
[3,7,4,2,6,1,5]=>[4,2,6,3,1,7,5]
[3,7,4,2,6,5,1]=>[4,2,6,5,7,3,1]
[3,7,4,5,1,2,6]=>[5,4,1,7,3,2,6]
[3,7,4,5,1,6,2]=>[5,4,1,6,7,3,2]
[3,7,4,5,2,1,6]=>[5,4,2,7,3,1,6]
[3,7,4,5,2,6,1]=>[5,4,2,6,7,3,1]
[3,7,4,5,6,1,2]=>[6,5,4,1,7,3,2]
[3,7,4,5,6,2,1]=>[6,5,4,2,7,3,1]
[3,7,4,6,1,2,5]=>[6,4,1,7,3,2,5]
[3,7,4,6,1,5,2]=>[6,4,1,5,7,3,2]
[3,7,4,6,2,1,5]=>[6,4,2,7,3,1,5]
[3,7,4,6,2,5,1]=>[6,4,2,5,7,3,1]
[3,7,4,6,5,1,2]=>[5,6,4,1,7,3,2]
[3,7,4,6,5,2,1]=>[5,6,4,2,7,3,1]
[3,7,5,1,2,4,6]=>[5,1,7,3,2,4,6]
[3,7,5,1,2,6,4]=>[5,1,6,7,3,2,4]
[3,7,5,1,4,2,6]=>[5,1,4,7,3,2,6]
[3,7,5,1,4,6,2]=>[5,1,4,6,7,3,2]
[3,7,5,1,6,2,4]=>[6,5,1,7,3,2,4]
[3,7,5,1,6,4,2]=>[6,5,1,4,7,3,2]
[3,7,5,2,1,4,6]=>[5,2,7,3,1,4,6]
[3,7,5,2,1,6,4]=>[5,2,6,7,3,1,4]
[3,7,5,2,4,1,6]=>[5,2,4,7,3,1,6]
[3,7,5,2,4,6,1]=>[5,2,4,6,7,3,1]
[3,7,5,2,6,1,4]=>[6,5,2,7,3,1,4]
[3,7,5,2,6,4,1]=>[6,5,2,4,7,3,1]
[3,7,5,4,1,2,6]=>[4,5,1,7,3,2,6]
[3,7,5,4,1,6,2]=>[4,5,1,6,7,3,2]
[3,7,5,4,2,1,6]=>[4,5,2,7,3,1,6]
[3,7,5,4,2,6,1]=>[4,5,2,6,7,3,1]
[3,7,5,4,6,1,2]=>[4,6,5,1,7,3,2]
[3,7,5,4,6,2,1]=>[4,6,5,2,7,3,1]
[3,7,5,6,1,2,4]=>[6,1,5,3,2,7,4]
[3,7,5,6,1,4,2]=>[6,1,5,4,7,3,2]
[3,7,5,6,2,1,4]=>[6,2,5,3,1,7,4]
[3,7,5,6,2,4,1]=>[6,2,5,4,7,3,1]
[3,7,5,6,4,1,2]=>[6,4,5,1,7,3,2]
[3,7,5,6,4,2,1]=>[6,4,5,2,7,3,1]
[3,7,6,1,2,4,5]=>[6,1,7,3,2,4,5]
[3,7,6,1,2,5,4]=>[6,1,5,7,3,2,4]
[3,7,6,1,4,2,5]=>[6,1,4,7,3,2,5]
[3,7,6,1,4,5,2]=>[6,1,4,5,7,3,2]
[3,7,6,1,5,2,4]=>[5,6,1,7,3,2,4]
[3,7,6,1,5,4,2]=>[5,6,1,4,7,3,2]
[3,7,6,2,1,4,5]=>[6,2,7,3,1,4,5]
[3,7,6,2,1,5,4]=>[6,2,5,7,3,1,4]
[3,7,6,2,4,1,5]=>[6,2,4,7,3,1,5]
[3,7,6,2,4,5,1]=>[6,2,4,5,7,3,1]
[3,7,6,2,5,1,4]=>[5,6,2,7,3,1,4]
[3,7,6,2,5,4,1]=>[5,6,2,4,7,3,1]
[3,7,6,4,1,2,5]=>[4,6,1,7,3,2,5]
[3,7,6,4,1,5,2]=>[4,6,1,5,7,3,2]
[3,7,6,4,2,1,5]=>[4,6,2,7,3,1,5]
[3,7,6,4,2,5,1]=>[4,6,2,5,7,3,1]
[3,7,6,4,5,1,2]=>[4,5,6,1,7,3,2]
[3,7,6,4,5,2,1]=>[4,5,6,2,7,3,1]
[3,7,6,5,1,2,4]=>[5,1,6,3,2,7,4]
[3,7,6,5,1,4,2]=>[5,1,6,4,7,3,2]
[3,7,6,5,2,1,4]=>[5,2,6,3,1,7,4]
[3,7,6,5,2,4,1]=>[5,2,6,4,7,3,1]
[3,7,6,5,4,1,2]=>[5,4,6,1,7,3,2]
[3,7,6,5,4,2,1]=>[5,4,6,2,7,3,1]
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]
[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]
[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]
[4,1,2,5,3,6,7]=>[5,4,1,2,3,6,7]
[4,1,2,5,3,7,6]=>[5,4,1,2,3,7,6]
[4,1,2,5,6,3,7]=>[6,5,4,1,2,3,7]
[4,1,2,5,6,7,3]=>[7,6,5,4,1,2,3]
[4,1,2,5,7,3,6]=>[7,5,4,1,2,3,6]
[4,1,2,5,7,6,3]=>[6,7,5,4,1,2,3]
[4,1,2,6,3,5,7]=>[6,4,1,2,3,5,7]
[4,1,2,6,3,7,5]=>[7,6,4,1,2,3,5]
[4,1,2,6,5,3,7]=>[5,6,4,1,2,3,7]
[4,1,2,6,5,7,3]=>[5,7,6,4,1,2,3]
[4,1,2,6,7,3,5]=>[7,4,1,2,3,6,5]
[4,1,2,6,7,5,3]=>[7,5,6,4,1,2,3]
[4,1,2,7,3,5,6]=>[7,4,1,2,3,5,6]
[4,1,2,7,3,6,5]=>[6,7,4,1,2,3,5]
[4,1,2,7,5,3,6]=>[5,7,4,1,2,3,6]
[4,1,2,7,5,6,3]=>[5,6,7,4,1,2,3]
[4,1,2,7,6,3,5]=>[6,4,1,2,3,7,5]
[4,1,2,7,6,5,3]=>[6,5,7,4,1,2,3]
[4,1,3,2,5,6,7]=>[3,4,1,2,5,6,7]
[4,1,3,2,5,7,6]=>[3,4,1,2,5,7,6]
[4,1,3,2,6,5,7]=>[3,4,1,2,6,5,7]
[4,1,3,2,6,7,5]=>[3,4,1,2,7,6,5]
[4,1,3,2,7,5,6]=>[3,4,1,2,7,5,6]
[4,1,3,2,7,6,5]=>[3,4,1,2,6,7,5]
[4,1,3,5,2,6,7]=>[3,5,4,1,2,6,7]
[4,1,3,5,2,7,6]=>[3,5,4,1,2,7,6]
[4,1,3,5,6,2,7]=>[3,6,5,4,1,2,7]
[4,1,3,5,6,7,2]=>[3,7,6,5,4,1,2]
[4,1,3,5,7,2,6]=>[3,7,5,4,1,2,6]
[4,1,3,5,7,6,2]=>[3,6,7,5,4,1,2]
[4,1,3,6,2,5,7]=>[3,6,4,1,2,5,7]
[4,1,3,6,2,7,5]=>[3,7,6,4,1,2,5]
[4,1,3,6,5,2,7]=>[3,5,6,4,1,2,7]
[4,1,3,6,5,7,2]=>[3,5,7,6,4,1,2]
[4,1,3,6,7,2,5]=>[3,7,4,1,2,6,5]
[4,1,3,6,7,5,2]=>[3,7,5,6,4,1,2]
[4,1,3,7,2,5,6]=>[3,7,4,1,2,5,6]
[4,1,3,7,2,6,5]=>[3,6,7,4,1,2,5]
[4,1,3,7,5,2,6]=>[3,5,7,4,1,2,6]
[4,1,3,7,5,6,2]=>[3,5,6,7,4,1,2]
[4,1,3,7,6,2,5]=>[3,6,4,1,2,7,5]
[4,1,3,7,6,5,2]=>[3,6,5,7,4,1,2]
[4,1,5,2,3,6,7]=>[5,1,2,4,3,6,7]
[4,1,5,2,3,7,6]=>[5,1,2,4,3,7,6]
[4,1,5,2,6,3,7]=>[6,5,1,2,4,3,7]
[4,1,5,2,6,7,3]=>[7,6,5,1,2,4,3]
[4,1,5,2,7,3,6]=>[7,5,1,2,4,3,6]
[4,1,5,2,7,6,3]=>[6,7,5,1,2,4,3]
[4,1,5,3,2,6,7]=>[5,3,4,1,2,6,7]
[4,1,5,3,2,7,6]=>[5,3,4,1,2,7,6]
[4,1,5,3,6,2,7]=>[6,5,3,4,1,2,7]
[4,1,5,3,6,7,2]=>[7,6,5,3,4,1,2]
[4,1,5,3,7,2,6]=>[7,5,3,4,1,2,6]
[4,1,5,3,7,6,2]=>[6,7,5,3,4,1,2]
[4,1,5,6,2,3,7]=>[6,1,2,5,4,3,7]
[4,1,5,6,2,7,3]=>[7,6,1,2,5,4,3]
[4,1,5,6,3,2,7]=>[6,3,5,4,1,2,7]
[4,1,5,6,3,7,2]=>[7,6,3,5,4,1,2]
[4,1,5,6,7,2,3]=>[7,1,2,6,5,4,3]
[4,1,5,6,7,3,2]=>[7,3,6,5,4,1,2]
[4,1,5,7,2,3,6]=>[7,1,2,5,4,3,6]
[4,1,5,7,2,6,3]=>[6,7,1,2,5,4,3]
[4,1,5,7,3,2,6]=>[7,3,5,4,1,2,6]
[4,1,5,7,3,6,2]=>[6,7,3,5,4,1,2]
[4,1,5,7,6,2,3]=>[6,1,2,7,5,4,3]
[4,1,5,7,6,3,2]=>[6,3,7,5,4,1,2]
[4,1,6,2,3,5,7]=>[6,1,2,4,3,5,7]
[4,1,6,2,3,7,5]=>[7,6,1,2,4,3,5]
[4,1,6,2,5,3,7]=>[5,6,1,2,4,3,7]
[4,1,6,2,5,7,3]=>[5,7,6,1,2,4,3]
[4,1,6,2,7,3,5]=>[7,1,2,4,3,6,5]
[4,1,6,2,7,5,3]=>[7,5,6,1,2,4,3]
[4,1,6,3,2,5,7]=>[6,3,4,1,2,5,7]
[4,1,6,3,2,7,5]=>[7,6,3,4,1,2,5]
[4,1,6,3,5,2,7]=>[5,6,3,4,1,2,7]
[4,1,6,3,5,7,2]=>[5,7,6,3,4,1,2]
[4,1,6,3,7,2,5]=>[7,3,4,1,2,6,5]
[4,1,6,3,7,5,2]=>[7,5,6,3,4,1,2]
[4,1,6,5,2,3,7]=>[5,1,2,6,4,3,7]
[4,1,6,5,2,7,3]=>[5,1,2,7,6,4,3]
[4,1,6,5,3,2,7]=>[5,3,6,4,1,2,7]
[4,1,6,5,3,7,2]=>[5,3,7,6,4,1,2]
[4,1,6,5,7,2,3]=>[7,5,1,2,6,4,3]
[4,1,6,5,7,3,2]=>[7,5,3,6,4,1,2]
[4,1,6,7,2,3,5]=>[7,1,2,6,4,3,5]
[4,1,6,7,2,5,3]=>[7,1,2,5,6,4,3]
[4,1,6,7,3,2,5]=>[7,3,6,4,1,2,5]
[4,1,6,7,3,5,2]=>[7,3,5,6,4,1,2]
[4,1,6,7,5,2,3]=>[5,7,1,2,6,4,3]
[4,1,6,7,5,3,2]=>[5,7,3,6,4,1,2]
[4,1,7,2,3,5,6]=>[7,1,2,4,3,5,6]
[4,1,7,2,3,6,5]=>[6,7,1,2,4,3,5]
[4,1,7,2,5,3,6]=>[5,7,1,2,4,3,6]
[4,1,7,2,5,6,3]=>[5,6,7,1,2,4,3]
[4,1,7,2,6,3,5]=>[6,1,2,4,3,7,5]
[4,1,7,2,6,5,3]=>[6,5,7,1,2,4,3]
[4,1,7,3,2,5,6]=>[7,3,4,1,2,5,6]
[4,1,7,3,2,6,5]=>[6,7,3,4,1,2,5]
[4,1,7,3,5,2,6]=>[5,7,3,4,1,2,6]
[4,1,7,3,5,6,2]=>[5,6,7,3,4,1,2]
[4,1,7,3,6,2,5]=>[6,3,4,1,2,7,5]
[4,1,7,3,6,5,2]=>[6,5,7,3,4,1,2]
[4,1,7,5,2,3,6]=>[5,1,2,7,4,3,6]
[4,1,7,5,2,6,3]=>[5,1,2,6,7,4,3]
[4,1,7,5,3,2,6]=>[5,3,7,4,1,2,6]
[4,1,7,5,3,6,2]=>[5,3,6,7,4,1,2]
[4,1,7,5,6,2,3]=>[6,5,1,2,7,4,3]
[4,1,7,5,6,3,2]=>[6,5,3,7,4,1,2]
[4,1,7,6,2,3,5]=>[6,1,2,7,4,3,5]
[4,1,7,6,2,5,3]=>[6,1,2,5,7,4,3]
[4,1,7,6,3,2,5]=>[6,3,7,4,1,2,5]
[4,1,7,6,3,5,2]=>[6,3,5,7,4,1,2]
[4,1,7,6,5,2,3]=>[5,6,1,2,7,4,3]
[4,1,7,6,5,3,2]=>[5,6,3,7,4,1,2]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]
[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]
[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]
[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]
[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]
[4,2,1,5,3,6,7]=>[2,5,4,1,3,6,7]
[4,2,1,5,3,7,6]=>[2,5,4,1,3,7,6]
[4,2,1,5,6,3,7]=>[2,6,5,4,1,3,7]
[4,2,1,5,6,7,3]=>[2,7,6,5,4,1,3]
[4,2,1,5,7,3,6]=>[2,7,5,4,1,3,6]
[4,2,1,5,7,6,3]=>[2,6,7,5,4,1,3]
[4,2,1,6,3,5,7]=>[2,6,4,1,3,5,7]
[4,2,1,6,3,7,5]=>[2,7,6,4,1,3,5]
[4,2,1,6,5,3,7]=>[2,5,6,4,1,3,7]
[4,2,1,6,5,7,3]=>[2,5,7,6,4,1,3]
[4,2,1,6,7,3,5]=>[2,7,4,1,3,6,5]
[4,2,1,6,7,5,3]=>[2,7,5,6,4,1,3]
[4,2,1,7,3,5,6]=>[2,7,4,1,3,5,6]
[4,2,1,7,3,6,5]=>[2,6,7,4,1,3,5]
[4,2,1,7,5,3,6]=>[2,5,7,4,1,3,6]
[4,2,1,7,5,6,3]=>[2,5,6,7,4,1,3]
[4,2,1,7,6,3,5]=>[2,6,4,1,3,7,5]
[4,2,1,7,6,5,3]=>[2,6,5,7,4,1,3]
[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]
[4,2,3,1,5,7,6]=>[2,3,4,1,5,7,6]
[4,2,3,1,6,5,7]=>[2,3,4,1,6,5,7]
[4,2,3,1,6,7,5]=>[2,3,4,1,7,6,5]
[4,2,3,1,7,5,6]=>[2,3,4,1,7,5,6]
[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]
[4,2,3,5,1,6,7]=>[2,3,5,4,1,6,7]
[4,2,3,5,1,7,6]=>[2,3,5,4,1,7,6]
[4,2,3,5,6,1,7]=>[2,3,6,5,4,1,7]
[4,2,3,5,6,7,1]=>[2,3,7,6,5,4,1]
[4,2,3,5,7,1,6]=>[2,3,7,5,4,1,6]
[4,2,3,5,7,6,1]=>[2,3,6,7,5,4,1]
[4,2,3,6,1,5,7]=>[2,3,6,4,1,5,7]
[4,2,3,6,1,7,5]=>[2,3,7,6,4,1,5]
[4,2,3,6,5,1,7]=>[2,3,5,6,4,1,7]
[4,2,3,6,5,7,1]=>[2,3,5,7,6,4,1]
[4,2,3,6,7,1,5]=>[2,3,7,4,1,6,5]
[4,2,3,6,7,5,1]=>[2,3,7,5,6,4,1]
[4,2,3,7,1,5,6]=>[2,3,7,4,1,5,6]
[4,2,3,7,1,6,5]=>[2,3,6,7,4,1,5]
[4,2,3,7,5,1,6]=>[2,3,5,7,4,1,6]
[4,2,3,7,5,6,1]=>[2,3,5,6,7,4,1]
[4,2,3,7,6,1,5]=>[2,3,6,4,1,7,5]
[4,2,3,7,6,5,1]=>[2,3,6,5,7,4,1]
[4,2,5,1,3,6,7]=>[2,5,1,4,3,6,7]
[4,2,5,1,3,7,6]=>[2,5,1,4,3,7,6]
[4,2,5,1,6,3,7]=>[2,6,5,1,4,3,7]
[4,2,5,1,6,7,3]=>[2,7,6,5,1,4,3]
[4,2,5,1,7,3,6]=>[2,7,5,1,4,3,6]
[4,2,5,1,7,6,3]=>[2,6,7,5,1,4,3]
[4,2,5,3,1,6,7]=>[2,5,3,4,1,6,7]
[4,2,5,3,1,7,6]=>[2,5,3,4,1,7,6]
[4,2,5,3,6,1,7]=>[2,6,5,3,4,1,7]
[4,2,5,3,6,7,1]=>[2,7,6,5,3,4,1]
[4,2,5,3,7,1,6]=>[2,7,5,3,4,1,6]
[4,2,5,3,7,6,1]=>[2,6,7,5,3,4,1]
[4,2,5,6,1,3,7]=>[2,6,1,5,4,3,7]
[4,2,5,6,1,7,3]=>[2,7,6,1,5,4,3]
[4,2,5,6,3,1,7]=>[2,6,3,5,4,1,7]
[4,2,5,6,3,7,1]=>[2,7,6,3,5,4,1]
[4,2,5,6,7,1,3]=>[2,7,1,6,5,4,3]
[4,2,5,6,7,3,1]=>[2,7,3,6,5,4,1]
[4,2,5,7,1,3,6]=>[2,7,1,5,4,3,6]
[4,2,5,7,1,6,3]=>[2,6,7,1,5,4,3]
[4,2,5,7,3,1,6]=>[2,7,3,5,4,1,6]
[4,2,5,7,3,6,1]=>[2,6,7,3,5,4,1]
[4,2,5,7,6,1,3]=>[2,6,1,7,5,4,3]
[4,2,5,7,6,3,1]=>[2,6,3,7,5,4,1]
[4,2,6,1,3,5,7]=>[2,6,1,4,3,5,7]
[4,2,6,1,3,7,5]=>[2,7,6,1,4,3,5]
[4,2,6,1,5,3,7]=>[2,5,6,1,4,3,7]
[4,2,6,1,5,7,3]=>[2,5,7,6,1,4,3]
[4,2,6,1,7,3,5]=>[2,7,1,4,3,6,5]
[4,2,6,1,7,5,3]=>[2,7,5,6,1,4,3]
[4,2,6,3,1,5,7]=>[2,6,3,4,1,5,7]
[4,2,6,3,1,7,5]=>[2,7,6,3,4,1,5]
[4,2,6,3,5,1,7]=>[2,5,6,3,4,1,7]
[4,2,6,3,5,7,1]=>[2,5,7,6,3,4,1]
[4,2,6,3,7,1,5]=>[2,7,3,4,1,6,5]
[4,2,6,3,7,5,1]=>[2,7,5,6,3,4,1]
[4,2,6,5,1,3,7]=>[2,5,1,6,4,3,7]
[4,2,6,5,1,7,3]=>[2,5,1,7,6,4,3]
[4,2,6,5,3,1,7]=>[2,5,3,6,4,1,7]
[4,2,6,5,3,7,1]=>[2,5,3,7,6,4,1]
[4,2,6,5,7,1,3]=>[2,7,5,1,6,4,3]
[4,2,6,5,7,3,1]=>[2,7,5,3,6,4,1]
[4,2,6,7,1,3,5]=>[2,7,1,6,4,3,5]
[4,2,6,7,1,5,3]=>[2,7,1,5,6,4,3]
[4,2,6,7,3,1,5]=>[2,7,3,6,4,1,5]
[4,2,6,7,3,5,1]=>[2,7,3,5,6,4,1]
[4,2,6,7,5,1,3]=>[2,5,7,1,6,4,3]
[4,2,6,7,5,3,1]=>[2,5,7,3,6,4,1]
[4,2,7,1,3,5,6]=>[2,7,1,4,3,5,6]
[4,2,7,1,3,6,5]=>[2,6,7,1,4,3,5]
[4,2,7,1,5,3,6]=>[2,5,7,1,4,3,6]
[4,2,7,1,5,6,3]=>[2,5,6,7,1,4,3]
[4,2,7,1,6,3,5]=>[2,6,1,4,3,7,5]
[4,2,7,1,6,5,3]=>[2,6,5,7,1,4,3]
[4,2,7,3,1,5,6]=>[2,7,3,4,1,5,6]
[4,2,7,3,1,6,5]=>[2,6,7,3,4,1,5]
[4,2,7,3,5,1,6]=>[2,5,7,3,4,1,6]
[4,2,7,3,5,6,1]=>[2,5,6,7,3,4,1]
[4,2,7,3,6,1,5]=>[2,6,3,4,1,7,5]
[4,2,7,3,6,5,1]=>[2,6,5,7,3,4,1]
[4,2,7,5,1,3,6]=>[2,5,1,7,4,3,6]
[4,2,7,5,1,6,3]=>[2,5,1,6,7,4,3]
[4,2,7,5,3,1,6]=>[2,5,3,7,4,1,6]
[4,2,7,5,3,6,1]=>[2,5,3,6,7,4,1]
[4,2,7,5,6,1,3]=>[2,6,5,1,7,4,3]
[4,2,7,5,6,3,1]=>[2,6,5,3,7,4,1]
[4,2,7,6,1,3,5]=>[2,6,1,7,4,3,5]
[4,2,7,6,1,5,3]=>[2,6,1,5,7,4,3]
[4,2,7,6,3,1,5]=>[2,6,3,7,4,1,5]
[4,2,7,6,3,5,1]=>[2,6,3,5,7,4,1]
[4,2,7,6,5,1,3]=>[2,5,6,1,7,4,3]
[4,2,7,6,5,3,1]=>[2,5,6,3,7,4,1]
[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]
[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]
[4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]
[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]
[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]
[4,3,1,5,2,6,7]=>[3,1,5,4,2,6,7]
[4,3,1,5,2,7,6]=>[3,1,5,4,2,7,6]
[4,3,1,5,6,2,7]=>[3,1,6,5,4,2,7]
[4,3,1,5,6,7,2]=>[3,1,7,6,5,4,2]
[4,3,1,5,7,2,6]=>[3,1,7,5,4,2,6]
[4,3,1,5,7,6,2]=>[3,1,6,7,5,4,2]
[4,3,1,6,2,5,7]=>[3,1,6,4,2,5,7]
[4,3,1,6,2,7,5]=>[3,1,7,6,4,2,5]
[4,3,1,6,5,2,7]=>[3,1,5,6,4,2,7]
[4,3,1,6,5,7,2]=>[3,1,5,7,6,4,2]
[4,3,1,6,7,2,5]=>[3,1,7,4,2,6,5]
[4,3,1,6,7,5,2]=>[3,1,7,5,6,4,2]
[4,3,1,7,2,5,6]=>[3,1,7,4,2,5,6]
[4,3,1,7,2,6,5]=>[3,1,6,7,4,2,5]
[4,3,1,7,5,2,6]=>[3,1,5,7,4,2,6]
[4,3,1,7,5,6,2]=>[3,1,5,6,7,4,2]
[4,3,1,7,6,2,5]=>[3,1,6,4,2,7,5]
[4,3,1,7,6,5,2]=>[3,1,6,5,7,4,2]
[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]
[4,3,2,1,5,7,6]=>[3,2,4,1,5,7,6]
[4,3,2,1,6,5,7]=>[3,2,4,1,6,5,7]
[4,3,2,1,6,7,5]=>[3,2,4,1,7,6,5]
[4,3,2,1,7,5,6]=>[3,2,4,1,7,5,6]
[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]
[4,3,2,5,1,6,7]=>[3,2,5,4,1,6,7]
[4,3,2,5,1,7,6]=>[3,2,5,4,1,7,6]
[4,3,2,5,6,1,7]=>[3,2,6,5,4,1,7]
[4,3,2,5,6,7,1]=>[3,2,7,6,5,4,1]
[4,3,2,5,7,1,6]=>[3,2,7,5,4,1,6]
[4,3,2,5,7,6,1]=>[3,2,6,7,5,4,1]
[4,3,2,6,1,5,7]=>[3,2,6,4,1,5,7]
[4,3,2,6,1,7,5]=>[3,2,7,6,4,1,5]
[4,3,2,6,5,1,7]=>[3,2,5,6,4,1,7]
[4,3,2,6,5,7,1]=>[3,2,5,7,6,4,1]
[4,3,2,6,7,1,5]=>[3,2,7,4,1,6,5]
[4,3,2,6,7,5,1]=>[3,2,7,5,6,4,1]
[4,3,2,7,1,5,6]=>[3,2,7,4,1,5,6]
[4,3,2,7,1,6,5]=>[3,2,6,7,4,1,5]
[4,3,2,7,5,1,6]=>[3,2,5,7,4,1,6]
[4,3,2,7,5,6,1]=>[3,2,5,6,7,4,1]
[4,3,2,7,6,1,5]=>[3,2,6,4,1,7,5]
[4,3,2,7,6,5,1]=>[3,2,6,5,7,4,1]
[4,3,5,1,2,6,7]=>[5,3,1,4,2,6,7]
[4,3,5,1,2,7,6]=>[5,3,1,4,2,7,6]
[4,3,5,1,6,2,7]=>[6,5,3,1,4,2,7]
[4,3,5,1,6,7,2]=>[7,6,5,3,1,4,2]
[4,3,5,1,7,2,6]=>[7,5,3,1,4,2,6]
[4,3,5,1,7,6,2]=>[6,7,5,3,1,4,2]
[4,3,5,2,1,6,7]=>[5,3,2,4,1,6,7]
[4,3,5,2,1,7,6]=>[5,3,2,4,1,7,6]
[4,3,5,2,6,1,7]=>[6,5,3,2,4,1,7]
[4,3,5,2,6,7,1]=>[7,6,5,3,2,4,1]
[4,3,5,2,7,1,6]=>[7,5,3,2,4,1,6]
[4,3,5,2,7,6,1]=>[6,7,5,3,2,4,1]
[4,3,5,6,1,2,7]=>[6,3,1,5,4,2,7]
[4,3,5,6,1,7,2]=>[7,6,3,1,5,4,2]
[4,3,5,6,2,1,7]=>[6,3,2,5,4,1,7]
[4,3,5,6,2,7,1]=>[7,6,3,2,5,4,1]
[4,3,5,6,7,1,2]=>[7,3,1,6,5,4,2]
[4,3,5,6,7,2,1]=>[7,3,2,6,5,4,1]
[4,3,5,7,1,2,6]=>[7,3,1,5,4,2,6]
[4,3,5,7,1,6,2]=>[6,7,3,1,5,4,2]
[4,3,5,7,2,1,6]=>[7,3,2,5,4,1,6]
[4,3,5,7,2,6,1]=>[6,7,3,2,5,4,1]
[4,3,5,7,6,1,2]=>[6,3,1,7,5,4,2]
[4,3,5,7,6,2,1]=>[6,3,2,7,5,4,1]
[4,3,6,1,2,5,7]=>[6,3,1,4,2,5,7]
[4,3,6,1,2,7,5]=>[7,6,3,1,4,2,5]
[4,3,6,1,5,2,7]=>[5,6,3,1,4,2,7]
[4,3,6,1,5,7,2]=>[5,7,6,3,1,4,2]
[4,3,6,1,7,2,5]=>[7,3,1,4,2,6,5]
[4,3,6,1,7,5,2]=>[7,5,6,3,1,4,2]
[4,3,6,2,1,5,7]=>[6,3,2,4,1,5,7]
[4,3,6,2,1,7,5]=>[7,6,3,2,4,1,5]
[4,3,6,2,5,1,7]=>[5,6,3,2,4,1,7]
[4,3,6,2,5,7,1]=>[5,7,6,3,2,4,1]
[4,3,6,2,7,1,5]=>[7,3,2,4,1,6,5]
[4,3,6,2,7,5,1]=>[7,5,6,3,2,4,1]
[4,3,6,5,1,2,7]=>[5,3,1,6,4,2,7]
[4,3,6,5,1,7,2]=>[5,3,1,7,6,4,2]
[4,3,6,5,2,1,7]=>[5,3,2,6,4,1,7]
[4,3,6,5,2,7,1]=>[5,3,2,7,6,4,1]
[4,3,6,5,7,1,2]=>[7,5,3,1,6,4,2]
[4,3,6,5,7,2,1]=>[7,5,3,2,6,4,1]
[4,3,6,7,1,2,5]=>[7,3,1,6,4,2,5]
[4,3,6,7,1,5,2]=>[7,3,1,5,6,4,2]
[4,3,6,7,2,1,5]=>[7,3,2,6,4,1,5]
[4,3,6,7,2,5,1]=>[7,3,2,5,6,4,1]
[4,3,6,7,5,1,2]=>[5,7,3,1,6,4,2]
[4,3,6,7,5,2,1]=>[5,7,3,2,6,4,1]
[4,3,7,1,2,5,6]=>[7,3,1,4,2,5,6]
[4,3,7,1,2,6,5]=>[6,7,3,1,4,2,5]
[4,3,7,1,5,2,6]=>[5,7,3,1,4,2,6]
[4,3,7,1,5,6,2]=>[5,6,7,3,1,4,2]
[4,3,7,1,6,2,5]=>[6,3,1,4,2,7,5]
[4,3,7,1,6,5,2]=>[6,5,7,3,1,4,2]
[4,3,7,2,1,5,6]=>[7,3,2,4,1,5,6]
[4,3,7,2,1,6,5]=>[6,7,3,2,4,1,5]
[4,3,7,2,5,1,6]=>[5,7,3,2,4,1,6]
[4,3,7,2,5,6,1]=>[5,6,7,3,2,4,1]
[4,3,7,2,6,1,5]=>[6,3,2,4,1,7,5]
[4,3,7,2,6,5,1]=>[6,5,7,3,2,4,1]
[4,3,7,5,1,2,6]=>[5,3,1,7,4,2,6]
[4,3,7,5,1,6,2]=>[5,3,1,6,7,4,2]
[4,3,7,5,2,1,6]=>[5,3,2,7,4,1,6]
[4,3,7,5,2,6,1]=>[5,3,2,6,7,4,1]
[4,3,7,5,6,1,2]=>[6,5,3,1,7,4,2]
[4,3,7,5,6,2,1]=>[6,5,3,2,7,4,1]
[4,3,7,6,1,2,5]=>[6,3,1,7,4,2,5]
[4,3,7,6,1,5,2]=>[6,3,1,5,7,4,2]
[4,3,7,6,2,1,5]=>[6,3,2,7,4,1,5]
[4,3,7,6,2,5,1]=>[6,3,2,5,7,4,1]
[4,3,7,6,5,1,2]=>[5,6,3,1,7,4,2]
[4,3,7,6,5,2,1]=>[5,6,3,2,7,4,1]
[4,5,1,2,3,6,7]=>[5,1,4,2,3,6,7]
[4,5,1,2,3,7,6]=>[5,1,4,2,3,7,6]
[4,5,1,2,6,3,7]=>[6,5,1,4,2,3,7]
[4,5,1,2,6,7,3]=>[7,6,5,1,4,2,3]
[4,5,1,2,7,3,6]=>[7,5,1,4,2,3,6]
[4,5,1,2,7,6,3]=>[6,7,5,1,4,2,3]
[4,5,1,3,2,6,7]=>[5,1,3,4,2,6,7]
[4,5,1,3,2,7,6]=>[5,1,3,4,2,7,6]
[4,5,1,3,6,2,7]=>[6,5,1,3,4,2,7]
[4,5,1,3,6,7,2]=>[7,6,5,1,3,4,2]
[4,5,1,3,7,2,6]=>[7,5,1,3,4,2,6]
[4,5,1,3,7,6,2]=>[6,7,5,1,3,4,2]
[4,5,1,6,2,3,7]=>[6,1,5,4,2,3,7]
[4,5,1,6,2,7,3]=>[7,6,1,5,4,2,3]
[4,5,1,6,3,2,7]=>[6,1,3,5,4,2,7]
[4,5,1,6,3,7,2]=>[7,6,1,3,5,4,2]
[4,5,1,6,7,2,3]=>[7,1,6,5,4,2,3]
[4,5,1,6,7,3,2]=>[7,1,3,6,5,4,2]
[4,5,1,7,2,3,6]=>[7,1,5,4,2,3,6]
[4,5,1,7,2,6,3]=>[6,7,1,5,4,2,3]
[4,5,1,7,3,2,6]=>[7,1,3,5,4,2,6]
[4,5,1,7,3,6,2]=>[6,7,1,3,5,4,2]
[4,5,1,7,6,2,3]=>[6,1,7,5,4,2,3]
[4,5,1,7,6,3,2]=>[6,1,3,7,5,4,2]
[4,5,2,1,3,6,7]=>[5,2,4,1,3,6,7]
[4,5,2,1,3,7,6]=>[5,2,4,1,3,7,6]
[4,5,2,1,6,3,7]=>[6,5,2,4,1,3,7]
[4,5,2,1,6,7,3]=>[7,6,5,2,4,1,3]
[4,5,2,1,7,3,6]=>[7,5,2,4,1,3,6]
[4,5,2,1,7,6,3]=>[6,7,5,2,4,1,3]
[4,5,2,3,1,6,7]=>[5,2,3,4,1,6,7]
[4,5,2,3,1,7,6]=>[5,2,3,4,1,7,6]
[4,5,2,3,6,1,7]=>[6,5,2,3,4,1,7]
[4,5,2,3,6,7,1]=>[7,6,5,2,3,4,1]
[4,5,2,3,7,1,6]=>[7,5,2,3,4,1,6]
[4,5,2,3,7,6,1]=>[6,7,5,2,3,4,1]
[4,5,2,6,1,3,7]=>[6,2,5,4,1,3,7]
[4,5,2,6,1,7,3]=>[7,6,2,5,4,1,3]
[4,5,2,6,3,1,7]=>[6,2,3,5,4,1,7]
[4,5,2,6,3,7,1]=>[7,6,2,3,5,4,1]
[4,5,2,6,7,1,3]=>[7,2,6,5,4,1,3]
[4,5,2,6,7,3,1]=>[7,2,3,6,5,4,1]
[4,5,2,7,1,3,6]=>[7,2,5,4,1,3,6]
[4,5,2,7,1,6,3]=>[6,7,2,5,4,1,3]
[4,5,2,7,3,1,6]=>[7,2,3,5,4,1,6]
[4,5,2,7,3,6,1]=>[6,7,2,3,5,4,1]
[4,5,2,7,6,1,3]=>[6,2,7,5,4,1,3]
[4,5,2,7,6,3,1]=>[6,2,3,7,5,4,1]
[4,5,3,1,2,6,7]=>[3,5,1,4,2,6,7]
[4,5,3,1,2,7,6]=>[3,5,1,4,2,7,6]
[4,5,3,1,6,2,7]=>[3,6,5,1,4,2,7]
[4,5,3,1,6,7,2]=>[3,7,6,5,1,4,2]
[4,5,3,1,7,2,6]=>[3,7,5,1,4,2,6]
[4,5,3,1,7,6,2]=>[3,6,7,5,1,4,2]
[4,5,3,2,1,6,7]=>[3,5,2,4,1,6,7]
[4,5,3,2,1,7,6]=>[3,5,2,4,1,7,6]
[4,5,3,2,6,1,7]=>[3,6,5,2,4,1,7]
[4,5,3,2,6,7,1]=>[3,7,6,5,2,4,1]
[4,5,3,2,7,1,6]=>[3,7,5,2,4,1,6]
[4,5,3,2,7,6,1]=>[3,6,7,5,2,4,1]
[4,5,3,6,1,2,7]=>[3,6,1,5,4,2,7]
[4,5,3,6,1,7,2]=>[3,7,6,1,5,4,2]
[4,5,3,6,2,1,7]=>[3,6,2,5,4,1,7]
[4,5,3,6,2,7,1]=>[3,7,6,2,5,4,1]
[4,5,3,6,7,1,2]=>[3,7,1,6,5,4,2]
[4,5,3,6,7,2,1]=>[3,7,2,6,5,4,1]
[4,5,3,7,1,2,6]=>[3,7,1,5,4,2,6]
[4,5,3,7,1,6,2]=>[3,6,7,1,5,4,2]
[4,5,3,7,2,1,6]=>[3,7,2,5,4,1,6]
[4,5,3,7,2,6,1]=>[3,6,7,2,5,4,1]
[4,5,3,7,6,1,2]=>[3,6,1,7,5,4,2]
[4,5,3,7,6,2,1]=>[3,6,2,7,5,4,1]
[4,5,6,1,2,3,7]=>[6,1,5,2,4,3,7]
[4,5,6,1,2,7,3]=>[7,6,1,5,2,4,3]
[4,5,6,1,3,2,7]=>[6,1,5,3,4,2,7]
[4,5,6,1,3,7,2]=>[7,6,1,5,3,4,2]
[4,5,6,1,7,2,3]=>[7,1,6,5,2,4,3]
[4,5,6,1,7,3,2]=>[7,1,6,5,3,4,2]
[4,5,6,2,1,3,7]=>[6,2,5,1,4,3,7]
[4,5,6,2,1,7,3]=>[7,6,2,5,1,4,3]
[4,5,6,2,3,1,7]=>[6,2,5,3,4,1,7]
[4,5,6,2,3,7,1]=>[7,6,2,5,3,4,1]
[4,5,6,2,7,1,3]=>[7,2,6,5,1,4,3]
[4,5,6,2,7,3,1]=>[7,2,6,5,3,4,1]
[4,5,6,3,1,2,7]=>[6,3,5,1,4,2,7]
[4,5,6,3,1,7,2]=>[7,6,3,5,1,4,2]
[4,5,6,3,2,1,7]=>[6,3,5,2,4,1,7]
[4,5,6,3,2,7,1]=>[7,6,3,5,2,4,1]
[4,5,6,3,7,1,2]=>[7,3,6,5,1,4,2]
[4,5,6,3,7,2,1]=>[7,3,6,5,2,4,1]
[4,5,6,7,1,2,3]=>[7,1,6,2,5,4,3]
[4,5,6,7,1,3,2]=>[7,1,6,3,5,4,2]
[4,5,6,7,2,1,3]=>[7,2,6,1,5,4,3]
[4,5,6,7,2,3,1]=>[7,2,6,3,5,4,1]
[4,5,6,7,3,1,2]=>[7,3,6,1,5,4,2]
[4,5,6,7,3,2,1]=>[7,3,6,2,5,4,1]
[4,5,7,1,2,3,6]=>[7,1,5,2,4,3,6]
[4,5,7,1,2,6,3]=>[6,7,1,5,2,4,3]
[4,5,7,1,3,2,6]=>[7,1,5,3,4,2,6]
[4,5,7,1,3,6,2]=>[6,7,1,5,3,4,2]
[4,5,7,1,6,2,3]=>[6,1,7,5,2,4,3]
[4,5,7,1,6,3,2]=>[6,1,7,5,3,4,2]
[4,5,7,2,1,3,6]=>[7,2,5,1,4,3,6]
[4,5,7,2,1,6,3]=>[6,7,2,5,1,4,3]
[4,5,7,2,3,1,6]=>[7,2,5,3,4,1,6]
[4,5,7,2,3,6,1]=>[6,7,2,5,3,4,1]
[4,5,7,2,6,1,3]=>[6,2,7,5,1,4,3]
[4,5,7,2,6,3,1]=>[6,2,7,5,3,4,1]
[4,5,7,3,1,2,6]=>[7,3,5,1,4,2,6]
[4,5,7,3,1,6,2]=>[6,7,3,5,1,4,2]
[4,5,7,3,2,1,6]=>[7,3,5,2,4,1,6]
[4,5,7,3,2,6,1]=>[6,7,3,5,2,4,1]
[4,5,7,3,6,1,2]=>[6,3,7,5,1,4,2]
[4,5,7,3,6,2,1]=>[6,3,7,5,2,4,1]
[4,5,7,6,1,2,3]=>[6,1,7,2,5,4,3]
[4,5,7,6,1,3,2]=>[6,1,7,3,5,4,2]
[4,5,7,6,2,1,3]=>[6,2,7,1,5,4,3]
[4,5,7,6,2,3,1]=>[6,2,7,3,5,4,1]
[4,5,7,6,3,1,2]=>[6,3,7,1,5,4,2]
[4,5,7,6,3,2,1]=>[6,3,7,2,5,4,1]
[4,6,1,2,3,5,7]=>[6,1,4,2,3,5,7]
[4,6,1,2,3,7,5]=>[7,6,1,4,2,3,5]
[4,6,1,2,5,3,7]=>[5,6,1,4,2,3,7]
[4,6,1,2,5,7,3]=>[5,7,6,1,4,2,3]
[4,6,1,2,7,3,5]=>[7,1,4,2,3,6,5]
[4,6,1,2,7,5,3]=>[7,5,6,1,4,2,3]
[4,6,1,3,2,5,7]=>[6,1,3,4,2,5,7]
[4,6,1,3,2,7,5]=>[7,6,1,3,4,2,5]
[4,6,1,3,5,2,7]=>[5,6,1,3,4,2,7]
[4,6,1,3,5,7,2]=>[5,7,6,1,3,4,2]
[4,6,1,3,7,2,5]=>[7,1,3,4,2,6,5]
[4,6,1,3,7,5,2]=>[7,5,6,1,3,4,2]
[4,6,1,5,2,3,7]=>[5,1,6,4,2,3,7]
[4,6,1,5,2,7,3]=>[5,1,7,6,4,2,3]
[4,6,1,5,3,2,7]=>[5,1,3,6,4,2,7]
[4,6,1,5,3,7,2]=>[5,1,3,7,6,4,2]
[4,6,1,5,7,2,3]=>[7,5,1,6,4,2,3]
[4,6,1,5,7,3,2]=>[7,5,1,3,6,4,2]
[4,6,1,7,2,3,5]=>[7,1,6,4,2,3,5]
[4,6,1,7,2,5,3]=>[7,1,5,6,4,2,3]
[4,6,1,7,3,2,5]=>[7,1,3,6,4,2,5]
[4,6,1,7,3,5,2]=>[7,1,3,5,6,4,2]
[4,6,1,7,5,2,3]=>[5,7,1,6,4,2,3]
[4,6,1,7,5,3,2]=>[5,7,1,3,6,4,2]
[4,6,2,1,3,5,7]=>[6,2,4,1,3,5,7]
[4,6,2,1,3,7,5]=>[7,6,2,4,1,3,5]
[4,6,2,1,5,3,7]=>[5,6,2,4,1,3,7]
[4,6,2,1,5,7,3]=>[5,7,6,2,4,1,3]
[4,6,2,1,7,3,5]=>[7,2,4,1,3,6,5]
[4,6,2,1,7,5,3]=>[7,5,6,2,4,1,3]
[4,6,2,3,1,5,7]=>[6,2,3,4,1,5,7]
[4,6,2,3,1,7,5]=>[7,6,2,3,4,1,5]
[4,6,2,3,5,1,7]=>[5,6,2,3,4,1,7]
[4,6,2,3,5,7,1]=>[5,7,6,2,3,4,1]
[4,6,2,3,7,1,5]=>[7,2,3,4,1,6,5]
[4,6,2,3,7,5,1]=>[7,5,6,2,3,4,1]
[4,6,2,5,1,3,7]=>[5,2,6,4,1,3,7]
[4,6,2,5,1,7,3]=>[5,2,7,6,4,1,3]
[4,6,2,5,3,1,7]=>[5,2,3,6,4,1,7]
[4,6,2,5,3,7,1]=>[5,2,3,7,6,4,1]
[4,6,2,5,7,1,3]=>[7,5,2,6,4,1,3]
[4,6,2,5,7,3,1]=>[7,5,2,3,6,4,1]
[4,6,2,7,1,3,5]=>[7,2,6,4,1,3,5]
[4,6,2,7,1,5,3]=>[7,2,5,6,4,1,3]
[4,6,2,7,3,1,5]=>[7,2,3,6,4,1,5]
[4,6,2,7,3,5,1]=>[7,2,3,5,6,4,1]
[4,6,2,7,5,1,3]=>[5,7,2,6,4,1,3]
[4,6,2,7,5,3,1]=>[5,7,2,3,6,4,1]
[4,6,3,1,2,5,7]=>[3,6,1,4,2,5,7]
[4,6,3,1,2,7,5]=>[3,7,6,1,4,2,5]
[4,6,3,1,5,2,7]=>[3,5,6,1,4,2,7]
[4,6,3,1,5,7,2]=>[3,5,7,6,1,4,2]
[4,6,3,1,7,2,5]=>[3,7,1,4,2,6,5]
[4,6,3,1,7,5,2]=>[3,7,5,6,1,4,2]
[4,6,3,2,1,5,7]=>[3,6,2,4,1,5,7]
[4,6,3,2,1,7,5]=>[3,7,6,2,4,1,5]
[4,6,3,2,5,1,7]=>[3,5,6,2,4,1,7]
[4,6,3,2,5,7,1]=>[3,5,7,6,2,4,1]
[4,6,3,2,7,1,5]=>[3,7,2,4,1,6,5]
[4,6,3,2,7,5,1]=>[3,7,5,6,2,4,1]
[4,6,3,5,1,2,7]=>[3,5,1,6,4,2,7]
[4,6,3,5,1,7,2]=>[3,5,1,7,6,4,2]
[4,6,3,5,2,1,7]=>[3,5,2,6,4,1,7]
[4,6,3,5,2,7,1]=>[3,5,2,7,6,4,1]
[4,6,3,5,7,1,2]=>[3,7,5,1,6,4,2]
[4,6,3,5,7,2,1]=>[3,7,5,2,6,4,1]
[4,6,3,7,1,2,5]=>[3,7,1,6,4,2,5]
[4,6,3,7,1,5,2]=>[3,7,1,5,6,4,2]
[4,6,3,7,2,1,5]=>[3,7,2,6,4,1,5]
[4,6,3,7,2,5,1]=>[3,7,2,5,6,4,1]
[4,6,3,7,5,1,2]=>[3,5,7,1,6,4,2]
[4,6,3,7,5,2,1]=>[3,5,7,2,6,4,1]
[4,6,5,1,2,3,7]=>[5,1,6,2,4,3,7]
[4,6,5,1,2,7,3]=>[5,1,7,6,2,4,3]
[4,6,5,1,3,2,7]=>[5,1,6,3,4,2,7]
[4,6,5,1,3,7,2]=>[5,1,7,6,3,4,2]
[4,6,5,1,7,2,3]=>[7,5,1,6,2,4,3]
[4,6,5,1,7,3,2]=>[7,5,1,6,3,4,2]
[4,6,5,2,1,3,7]=>[5,2,6,1,4,3,7]
[4,6,5,2,1,7,3]=>[5,2,7,6,1,4,3]
[4,6,5,2,3,1,7]=>[5,2,6,3,4,1,7]
[4,6,5,2,3,7,1]=>[5,2,7,6,3,4,1]
[4,6,5,2,7,1,3]=>[7,5,2,6,1,4,3]
[4,6,5,2,7,3,1]=>[7,5,2,6,3,4,1]
[4,6,5,3,1,2,7]=>[5,3,6,1,4,2,7]
[4,6,5,3,1,7,2]=>[5,3,7,6,1,4,2]
[4,6,5,3,2,1,7]=>[5,3,6,2,4,1,7]
[4,6,5,3,2,7,1]=>[5,3,7,6,2,4,1]
[4,6,5,3,7,1,2]=>[7,5,3,6,1,4,2]
[4,6,5,3,7,2,1]=>[7,5,3,6,2,4,1]
[4,6,5,7,1,2,3]=>[7,1,5,2,6,4,3]
[4,6,5,7,1,3,2]=>[7,1,5,3,6,4,2]
[4,6,5,7,2,1,3]=>[7,2,5,1,6,4,3]
[4,6,5,7,2,3,1]=>[7,2,5,3,6,4,1]
[4,6,5,7,3,1,2]=>[7,3,5,1,6,4,2]
[4,6,5,7,3,2,1]=>[7,3,5,2,6,4,1]
[4,6,7,1,2,3,5]=>[7,1,6,2,4,3,5]
[4,6,7,1,2,5,3]=>[7,1,5,6,2,4,3]
[4,6,7,1,3,2,5]=>[7,1,6,3,4,2,5]
[4,6,7,1,3,5,2]=>[7,1,5,6,3,4,2]
[4,6,7,1,5,2,3]=>[5,7,1,6,2,4,3]
[4,6,7,1,5,3,2]=>[5,7,1,6,3,4,2]
[4,6,7,2,1,3,5]=>[7,2,6,1,4,3,5]
[4,6,7,2,1,5,3]=>[7,2,5,6,1,4,3]
[4,6,7,2,3,1,5]=>[7,2,6,3,4,1,5]
[4,6,7,2,3,5,1]=>[7,2,5,6,3,4,1]
[4,6,7,2,5,1,3]=>[5,7,2,6,1,4,3]
[4,6,7,2,5,3,1]=>[5,7,2,6,3,4,1]
[4,6,7,3,1,2,5]=>[7,3,6,1,4,2,5]
[4,6,7,3,1,5,2]=>[7,3,5,6,1,4,2]
[4,6,7,3,2,1,5]=>[7,3,6,2,4,1,5]
[4,6,7,3,2,5,1]=>[7,3,5,6,2,4,1]
[4,6,7,3,5,1,2]=>[5,7,3,6,1,4,2]
[4,6,7,3,5,2,1]=>[5,7,3,6,2,4,1]
[4,6,7,5,1,2,3]=>[5,1,7,2,6,4,3]
[4,6,7,5,1,3,2]=>[5,1,7,3,6,4,2]
[4,6,7,5,2,1,3]=>[5,2,7,1,6,4,3]
[4,6,7,5,2,3,1]=>[5,2,7,3,6,4,1]
[4,6,7,5,3,1,2]=>[5,3,7,1,6,4,2]
[4,6,7,5,3,2,1]=>[5,3,7,2,6,4,1]
[4,7,1,2,3,5,6]=>[7,1,4,2,3,5,6]
[4,7,1,2,3,6,5]=>[6,7,1,4,2,3,5]
[4,7,1,2,5,3,6]=>[5,7,1,4,2,3,6]
[4,7,1,2,5,6,3]=>[5,6,7,1,4,2,3]
[4,7,1,2,6,3,5]=>[6,1,4,2,3,7,5]
[4,7,1,2,6,5,3]=>[6,5,7,1,4,2,3]
[4,7,1,3,2,5,6]=>[7,1,3,4,2,5,6]
[4,7,1,3,2,6,5]=>[6,7,1,3,4,2,5]
[4,7,1,3,5,2,6]=>[5,7,1,3,4,2,6]
[4,7,1,3,5,6,2]=>[5,6,7,1,3,4,2]
[4,7,1,3,6,2,5]=>[6,1,3,4,2,7,5]
[4,7,1,3,6,5,2]=>[6,5,7,1,3,4,2]
[4,7,1,5,2,3,6]=>[5,1,7,4,2,3,6]
[4,7,1,5,2,6,3]=>[5,1,6,7,4,2,3]
[4,7,1,5,3,2,6]=>[5,1,3,7,4,2,6]
[4,7,1,5,3,6,2]=>[5,1,3,6,7,4,2]
[4,7,1,5,6,2,3]=>[6,5,1,7,4,2,3]
[4,7,1,5,6,3,2]=>[6,5,1,3,7,4,2]
[4,7,1,6,2,3,5]=>[6,1,7,4,2,3,5]
[4,7,1,6,2,5,3]=>[6,1,5,7,4,2,3]
[4,7,1,6,3,2,5]=>[6,1,3,7,4,2,5]
[4,7,1,6,3,5,2]=>[6,1,3,5,7,4,2]
[4,7,1,6,5,2,3]=>[5,6,1,7,4,2,3]
[4,7,1,6,5,3,2]=>[5,6,1,3,7,4,2]
[4,7,2,1,3,5,6]=>[7,2,4,1,3,5,6]
[4,7,2,1,3,6,5]=>[6,7,2,4,1,3,5]
[4,7,2,1,5,3,6]=>[5,7,2,4,1,3,6]
[4,7,2,1,5,6,3]=>[5,6,7,2,4,1,3]
[4,7,2,1,6,3,5]=>[6,2,4,1,3,7,5]
[4,7,2,1,6,5,3]=>[6,5,7,2,4,1,3]
[4,7,2,3,1,5,6]=>[7,2,3,4,1,5,6]
[4,7,2,3,1,6,5]=>[6,7,2,3,4,1,5]
[4,7,2,3,5,1,6]=>[5,7,2,3,4,1,6]
[4,7,2,3,5,6,1]=>[5,6,7,2,3,4,1]
[4,7,2,3,6,1,5]=>[6,2,3,4,1,7,5]
[4,7,2,3,6,5,1]=>[6,5,7,2,3,4,1]
[4,7,2,5,1,3,6]=>[5,2,7,4,1,3,6]
[4,7,2,5,1,6,3]=>[5,2,6,7,4,1,3]
[4,7,2,5,3,1,6]=>[5,2,3,7,4,1,6]
[4,7,2,5,3,6,1]=>[5,2,3,6,7,4,1]
[4,7,2,5,6,1,3]=>[6,5,2,7,4,1,3]
[4,7,2,5,6,3,1]=>[6,5,2,3,7,4,1]
[4,7,2,6,1,3,5]=>[6,2,7,4,1,3,5]
[4,7,2,6,1,5,3]=>[6,2,5,7,4,1,3]
[4,7,2,6,3,1,5]=>[6,2,3,7,4,1,5]
[4,7,2,6,3,5,1]=>[6,2,3,5,7,4,1]
[4,7,2,6,5,1,3]=>[5,6,2,7,4,1,3]
[4,7,2,6,5,3,1]=>[5,6,2,3,7,4,1]
[4,7,3,1,2,5,6]=>[3,7,1,4,2,5,6]
[4,7,3,1,2,6,5]=>[3,6,7,1,4,2,5]
[4,7,3,1,5,2,6]=>[3,5,7,1,4,2,6]
[4,7,3,1,5,6,2]=>[3,5,6,7,1,4,2]
[4,7,3,1,6,2,5]=>[3,6,1,4,2,7,5]
[4,7,3,1,6,5,2]=>[3,6,5,7,1,4,2]
[4,7,3,2,1,5,6]=>[3,7,2,4,1,5,6]
[4,7,3,2,1,6,5]=>[3,6,7,2,4,1,5]
[4,7,3,2,5,1,6]=>[3,5,7,2,4,1,6]
[4,7,3,2,5,6,1]=>[3,5,6,7,2,4,1]
[4,7,3,2,6,1,5]=>[3,6,2,4,1,7,5]
[4,7,3,2,6,5,1]=>[3,6,5,7,2,4,1]
[4,7,3,5,1,2,6]=>[3,5,1,7,4,2,6]
[4,7,3,5,1,6,2]=>[3,5,1,6,7,4,2]
[4,7,3,5,2,1,6]=>[3,5,2,7,4,1,6]
[4,7,3,5,2,6,1]=>[3,5,2,6,7,4,1]
[4,7,3,5,6,1,2]=>[3,6,5,1,7,4,2]
[4,7,3,5,6,2,1]=>[3,6,5,2,7,4,1]
[4,7,3,6,1,2,5]=>[3,6,1,7,4,2,5]
[4,7,3,6,1,5,2]=>[3,6,1,5,7,4,2]
[4,7,3,6,2,1,5]=>[3,6,2,7,4,1,5]
[4,7,3,6,2,5,1]=>[3,6,2,5,7,4,1]
[4,7,3,6,5,1,2]=>[3,5,6,1,7,4,2]
[4,7,3,6,5,2,1]=>[3,5,6,2,7,4,1]
[4,7,5,1,2,3,6]=>[5,1,7,2,4,3,6]
[4,7,5,1,2,6,3]=>[5,1,6,7,2,4,3]
[4,7,5,1,3,2,6]=>[5,1,7,3,4,2,6]
[4,7,5,1,3,6,2]=>[5,1,6,7,3,4,2]
[4,7,5,1,6,2,3]=>[6,5,1,7,2,4,3]
[4,7,5,1,6,3,2]=>[6,5,1,7,3,4,2]
[4,7,5,2,1,3,6]=>[5,2,7,1,4,3,6]
[4,7,5,2,1,6,3]=>[5,2,6,7,1,4,3]
[4,7,5,2,3,1,6]=>[5,2,7,3,4,1,6]
[4,7,5,2,3,6,1]=>[5,2,6,7,3,4,1]
[4,7,5,2,6,1,3]=>[6,5,2,7,1,4,3]
[4,7,5,2,6,3,1]=>[6,5,2,7,3,4,1]
[4,7,5,3,1,2,6]=>[5,3,7,1,4,2,6]
[4,7,5,3,1,6,2]=>[5,3,6,7,1,4,2]
[4,7,5,3,2,1,6]=>[5,3,7,2,4,1,6]
[4,7,5,3,2,6,1]=>[5,3,6,7,2,4,1]
[4,7,5,3,6,1,2]=>[6,5,3,7,1,4,2]
[4,7,5,3,6,2,1]=>[6,5,3,7,2,4,1]
[4,7,5,6,1,2,3]=>[6,1,5,2,7,4,3]
[4,7,5,6,1,3,2]=>[6,1,5,3,7,4,2]
[4,7,5,6,2,1,3]=>[6,2,5,1,7,4,3]
[4,7,5,6,2,3,1]=>[6,2,5,3,7,4,1]
[4,7,5,6,3,1,2]=>[6,3,5,1,7,4,2]
[4,7,5,6,3,2,1]=>[6,3,5,2,7,4,1]
[4,7,6,1,2,3,5]=>[6,1,7,2,4,3,5]
[4,7,6,1,2,5,3]=>[6,1,5,7,2,4,3]
[4,7,6,1,3,2,5]=>[6,1,7,3,4,2,5]
[4,7,6,1,3,5,2]=>[6,1,5,7,3,4,2]
[4,7,6,1,5,2,3]=>[5,6,1,7,2,4,3]
[4,7,6,1,5,3,2]=>[5,6,1,7,3,4,2]
[4,7,6,2,1,3,5]=>[6,2,7,1,4,3,5]
[4,7,6,2,1,5,3]=>[6,2,5,7,1,4,3]
[4,7,6,2,3,1,5]=>[6,2,7,3,4,1,5]
[4,7,6,2,3,5,1]=>[6,2,5,7,3,4,1]
[4,7,6,2,5,1,3]=>[5,6,2,7,1,4,3]
[4,7,6,2,5,3,1]=>[5,6,2,7,3,4,1]
[4,7,6,3,1,2,5]=>[6,3,7,1,4,2,5]
[4,7,6,3,1,5,2]=>[6,3,5,7,1,4,2]
[4,7,6,3,2,1,5]=>[6,3,7,2,4,1,5]
[4,7,6,3,2,5,1]=>[6,3,5,7,2,4,1]
[4,7,6,3,5,1,2]=>[5,6,3,7,1,4,2]
[4,7,6,3,5,2,1]=>[5,6,3,7,2,4,1]
[4,7,6,5,1,2,3]=>[5,1,6,2,7,4,3]
[4,7,6,5,1,3,2]=>[5,1,6,3,7,4,2]
[4,7,6,5,2,1,3]=>[5,2,6,1,7,4,3]
[4,7,6,5,2,3,1]=>[5,2,6,3,7,4,1]
[4,7,6,5,3,1,2]=>[5,3,6,1,7,4,2]
[4,7,6,5,3,2,1]=>[5,3,6,2,7,4,1]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]
[5,1,2,3,6,4,7]=>[6,5,1,2,3,4,7]
[5,1,2,3,6,7,4]=>[7,6,5,1,2,3,4]
[5,1,2,3,7,4,6]=>[7,5,1,2,3,4,6]
[5,1,2,3,7,6,4]=>[6,7,5,1,2,3,4]
[5,1,2,4,3,6,7]=>[4,5,1,2,3,6,7]
[5,1,2,4,3,7,6]=>[4,5,1,2,3,7,6]
[5,1,2,4,6,3,7]=>[4,6,5,1,2,3,7]
[5,1,2,4,6,7,3]=>[4,7,6,5,1,2,3]
[5,1,2,4,7,3,6]=>[4,7,5,1,2,3,6]
[5,1,2,4,7,6,3]=>[4,6,7,5,1,2,3]
[5,1,2,6,3,4,7]=>[6,1,2,3,5,4,7]
[5,1,2,6,3,7,4]=>[7,6,1,2,3,5,4]
[5,1,2,6,4,3,7]=>[6,4,5,1,2,3,7]
[5,1,2,6,4,7,3]=>[7,6,4,5,1,2,3]
[5,1,2,6,7,3,4]=>[7,1,2,3,6,5,4]
[5,1,2,6,7,4,3]=>[7,4,6,5,1,2,3]
[5,1,2,7,3,4,6]=>[7,1,2,3,5,4,6]
[5,1,2,7,3,6,4]=>[6,7,1,2,3,5,4]
[5,1,2,7,4,3,6]=>[7,4,5,1,2,3,6]
[5,1,2,7,4,6,3]=>[6,7,4,5,1,2,3]
[5,1,2,7,6,3,4]=>[6,1,2,3,7,5,4]
[5,1,2,7,6,4,3]=>[6,4,7,5,1,2,3]
[5,1,3,2,4,6,7]=>[3,5,1,2,4,6,7]
[5,1,3,2,4,7,6]=>[3,5,1,2,4,7,6]
[5,1,3,2,6,4,7]=>[3,6,5,1,2,4,7]
[5,1,3,2,6,7,4]=>[3,7,6,5,1,2,4]
[5,1,3,2,7,4,6]=>[3,7,5,1,2,4,6]
[5,1,3,2,7,6,4]=>[3,6,7,5,1,2,4]
[5,1,3,4,2,6,7]=>[3,4,5,1,2,6,7]
[5,1,3,4,2,7,6]=>[3,4,5,1,2,7,6]
[5,1,3,4,6,2,7]=>[3,4,6,5,1,2,7]
[5,1,3,4,6,7,2]=>[3,4,7,6,5,1,2]
[5,1,3,4,7,2,6]=>[3,4,7,5,1,2,6]
[5,1,3,4,7,6,2]=>[3,4,6,7,5,1,2]
[5,1,3,6,2,4,7]=>[3,6,1,2,5,4,7]
[5,1,3,6,2,7,4]=>[3,7,6,1,2,5,4]
[5,1,3,6,4,2,7]=>[3,6,4,5,1,2,7]
[5,1,3,6,4,7,2]=>[3,7,6,4,5,1,2]
[5,1,3,6,7,2,4]=>[3,7,1,2,6,5,4]
[5,1,3,6,7,4,2]=>[3,7,4,6,5,1,2]
[5,1,3,7,2,4,6]=>[3,7,1,2,5,4,6]
[5,1,3,7,2,6,4]=>[3,6,7,1,2,5,4]
[5,1,3,7,4,2,6]=>[3,7,4,5,1,2,6]
[5,1,3,7,4,6,2]=>[3,6,7,4,5,1,2]
[5,1,3,7,6,2,4]=>[3,6,1,2,7,5,4]
[5,1,3,7,6,4,2]=>[3,6,4,7,5,1,2]
[5,1,4,2,3,6,7]=>[4,1,2,5,3,6,7]
[5,1,4,2,3,7,6]=>[4,1,2,5,3,7,6]
[5,1,4,2,6,3,7]=>[4,1,2,6,5,3,7]
[5,1,4,2,6,7,3]=>[4,1,2,7,6,5,3]
[5,1,4,2,7,3,6]=>[4,1,2,7,5,3,6]
[5,1,4,2,7,6,3]=>[4,1,2,6,7,5,3]
[5,1,4,3,2,6,7]=>[4,3,5,1,2,6,7]
[5,1,4,3,2,7,6]=>[4,3,5,1,2,7,6]
[5,1,4,3,6,2,7]=>[4,3,6,5,1,2,7]
[5,1,4,3,6,7,2]=>[4,3,7,6,5,1,2]
[5,1,4,3,7,2,6]=>[4,3,7,5,1,2,6]
[5,1,4,3,7,6,2]=>[4,3,6,7,5,1,2]
[5,1,4,6,2,3,7]=>[6,4,1,2,5,3,7]
[5,1,4,6,2,7,3]=>[7,6,4,1,2,5,3]
[5,1,4,6,3,2,7]=>[6,4,3,5,1,2,7]
[5,1,4,6,3,7,2]=>[7,6,4,3,5,1,2]
[5,1,4,6,7,2,3]=>[7,4,1,2,6,5,3]
[5,1,4,6,7,3,2]=>[7,4,3,6,5,1,2]
[5,1,4,7,2,3,6]=>[7,4,1,2,5,3,6]
[5,1,4,7,2,6,3]=>[6,7,4,1,2,5,3]
[5,1,4,7,3,2,6]=>[7,4,3,5,1,2,6]
[5,1,4,7,3,6,2]=>[6,7,4,3,5,1,2]
[5,1,4,7,6,2,3]=>[6,4,1,2,7,5,3]
[5,1,4,7,6,3,2]=>[6,4,3,7,5,1,2]
[5,1,6,2,3,4,7]=>[6,1,2,5,3,4,7]
[5,1,6,2,3,7,4]=>[7,6,1,2,5,3,4]
[5,1,6,2,4,3,7]=>[6,1,2,4,5,3,7]
[5,1,6,2,4,7,3]=>[7,6,1,2,4,5,3]
[5,1,6,2,7,3,4]=>[7,1,2,6,5,3,4]
[5,1,6,2,7,4,3]=>[7,1,2,4,6,5,3]
[5,1,6,3,2,4,7]=>[6,3,5,1,2,4,7]
[5,1,6,3,2,7,4]=>[7,6,3,5,1,2,4]
[5,1,6,3,4,2,7]=>[6,3,4,5,1,2,7]
[5,1,6,3,4,7,2]=>[7,6,3,4,5,1,2]
[5,1,6,3,7,2,4]=>[7,3,6,5,1,2,4]
[5,1,6,3,7,4,2]=>[7,3,4,6,5,1,2]
[5,1,6,4,2,3,7]=>[4,6,1,2,5,3,7]
[5,1,6,4,2,7,3]=>[4,7,6,1,2,5,3]
[5,1,6,4,3,2,7]=>[4,6,3,5,1,2,7]
[5,1,6,4,3,7,2]=>[4,7,6,3,5,1,2]
[5,1,6,4,7,2,3]=>[4,7,1,2,6,5,3]
[5,1,6,4,7,3,2]=>[4,7,3,6,5,1,2]
[5,1,6,7,2,3,4]=>[7,1,2,6,3,5,4]
[5,1,6,7,2,4,3]=>[7,1,2,6,4,5,3]
[5,1,6,7,3,2,4]=>[7,3,6,1,2,5,4]
[5,1,6,7,3,4,2]=>[7,3,6,4,5,1,2]
[5,1,6,7,4,2,3]=>[7,4,6,1,2,5,3]
[5,1,6,7,4,3,2]=>[7,4,6,3,5,1,2]
[5,1,7,2,3,4,6]=>[7,1,2,5,3,4,6]
[5,1,7,2,3,6,4]=>[6,7,1,2,5,3,4]
[5,1,7,2,4,3,6]=>[7,1,2,4,5,3,6]
[5,1,7,2,4,6,3]=>[6,7,1,2,4,5,3]
[5,1,7,2,6,3,4]=>[6,1,2,7,5,3,4]
[5,1,7,2,6,4,3]=>[6,1,2,4,7,5,3]
[5,1,7,3,2,4,6]=>[7,3,5,1,2,4,6]
[5,1,7,3,2,6,4]=>[6,7,3,5,1,2,4]
[5,1,7,3,4,2,6]=>[7,3,4,5,1,2,6]
[5,1,7,3,4,6,2]=>[6,7,3,4,5,1,2]
[5,1,7,3,6,2,4]=>[6,3,7,5,1,2,4]
[5,1,7,3,6,4,2]=>[6,3,4,7,5,1,2]
[5,1,7,4,2,3,6]=>[4,7,1,2,5,3,6]
[5,1,7,4,2,6,3]=>[4,6,7,1,2,5,3]
[5,1,7,4,3,2,6]=>[4,7,3,5,1,2,6]
[5,1,7,4,3,6,2]=>[4,6,7,3,5,1,2]
[5,1,7,4,6,2,3]=>[4,6,1,2,7,5,3]
[5,1,7,4,6,3,2]=>[4,6,3,7,5,1,2]
[5,1,7,6,2,3,4]=>[6,1,2,7,3,5,4]
[5,1,7,6,2,4,3]=>[6,1,2,7,4,5,3]
[5,1,7,6,3,2,4]=>[6,3,7,1,2,5,4]
[5,1,7,6,3,4,2]=>[6,3,7,4,5,1,2]
[5,1,7,6,4,2,3]=>[6,4,7,1,2,5,3]
[5,1,7,6,4,3,2]=>[6,4,7,3,5,1,2]
[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]
[5,2,1,3,6,4,7]=>[2,6,5,1,3,4,7]
[5,2,1,3,6,7,4]=>[2,7,6,5,1,3,4]
[5,2,1,3,7,4,6]=>[2,7,5,1,3,4,6]
[5,2,1,3,7,6,4]=>[2,6,7,5,1,3,4]
[5,2,1,4,3,6,7]=>[2,4,5,1,3,6,7]
[5,2,1,4,3,7,6]=>[2,4,5,1,3,7,6]
[5,2,1,4,6,3,7]=>[2,4,6,5,1,3,7]
[5,2,1,4,6,7,3]=>[2,4,7,6,5,1,3]
[5,2,1,4,7,3,6]=>[2,4,7,5,1,3,6]
[5,2,1,4,7,6,3]=>[2,4,6,7,5,1,3]
[5,2,1,6,3,4,7]=>[2,6,1,3,5,4,7]
[5,2,1,6,3,7,4]=>[2,7,6,1,3,5,4]
[5,2,1,6,4,3,7]=>[2,6,4,5,1,3,7]
[5,2,1,6,4,7,3]=>[2,7,6,4,5,1,3]
[5,2,1,6,7,3,4]=>[2,7,1,3,6,5,4]
[5,2,1,6,7,4,3]=>[2,7,4,6,5,1,3]
[5,2,1,7,3,4,6]=>[2,7,1,3,5,4,6]
[5,2,1,7,3,6,4]=>[2,6,7,1,3,5,4]
[5,2,1,7,4,3,6]=>[2,7,4,5,1,3,6]
[5,2,1,7,4,6,3]=>[2,6,7,4,5,1,3]
[5,2,1,7,6,3,4]=>[2,6,1,3,7,5,4]
[5,2,1,7,6,4,3]=>[2,6,4,7,5,1,3]
[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]
[5,2,3,1,4,7,6]=>[2,3,5,1,4,7,6]
[5,2,3,1,6,4,7]=>[2,3,6,5,1,4,7]
[5,2,3,1,6,7,4]=>[2,3,7,6,5,1,4]
[5,2,3,1,7,4,6]=>[2,3,7,5,1,4,6]
[5,2,3,1,7,6,4]=>[2,3,6,7,5,1,4]
[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]
[5,2,3,4,1,7,6]=>[2,3,4,5,1,7,6]
[5,2,3,4,6,1,7]=>[2,3,4,6,5,1,7]
[5,2,3,4,6,7,1]=>[2,3,4,7,6,5,1]
[5,2,3,4,7,1,6]=>[2,3,4,7,5,1,6]
[5,2,3,4,7,6,1]=>[2,3,4,6,7,5,1]
[5,2,3,6,1,4,7]=>[2,3,6,1,5,4,7]
[5,2,3,6,1,7,4]=>[2,3,7,6,1,5,4]
[5,2,3,6,4,1,7]=>[2,3,6,4,5,1,7]
[5,2,3,6,4,7,1]=>[2,3,7,6,4,5,1]
[5,2,3,6,7,1,4]=>[2,3,7,1,6,5,4]
[5,2,3,6,7,4,1]=>[2,3,7,4,6,5,1]
[5,2,3,7,1,4,6]=>[2,3,7,1,5,4,6]
[5,2,3,7,1,6,4]=>[2,3,6,7,1,5,4]
[5,2,3,7,4,1,6]=>[2,3,7,4,5,1,6]
[5,2,3,7,4,6,1]=>[2,3,6,7,4,5,1]
[5,2,3,7,6,1,4]=>[2,3,6,1,7,5,4]
[5,2,3,7,6,4,1]=>[2,3,6,4,7,5,1]
[5,2,4,1,3,6,7]=>[2,4,1,5,3,6,7]
[5,2,4,1,3,7,6]=>[2,4,1,5,3,7,6]
[5,2,4,1,6,3,7]=>[2,4,1,6,5,3,7]
[5,2,4,1,6,7,3]=>[2,4,1,7,6,5,3]
[5,2,4,1,7,3,6]=>[2,4,1,7,5,3,6]
[5,2,4,1,7,6,3]=>[2,4,1,6,7,5,3]
[5,2,4,3,1,6,7]=>[2,4,3,5,1,6,7]
[5,2,4,3,1,7,6]=>[2,4,3,5,1,7,6]
[5,2,4,3,6,1,7]=>[2,4,3,6,5,1,7]
[5,2,4,3,6,7,1]=>[2,4,3,7,6,5,1]
[5,2,4,3,7,1,6]=>[2,4,3,7,5,1,6]
[5,2,4,3,7,6,1]=>[2,4,3,6,7,5,1]
[5,2,4,6,1,3,7]=>[2,6,4,1,5,3,7]
[5,2,4,6,1,7,3]=>[2,7,6,4,1,5,3]
[5,2,4,6,3,1,7]=>[2,6,4,3,5,1,7]
[5,2,4,6,3,7,1]=>[2,7,6,4,3,5,1]
[5,2,4,6,7,1,3]=>[2,7,4,1,6,5,3]
[5,2,4,6,7,3,1]=>[2,7,4,3,6,5,1]
[5,2,4,7,1,3,6]=>[2,7,4,1,5,3,6]
[5,2,4,7,1,6,3]=>[2,6,7,4,1,5,3]
[5,2,4,7,3,1,6]=>[2,7,4,3,5,1,6]
[5,2,4,7,3,6,1]=>[2,6,7,4,3,5,1]
[5,2,4,7,6,1,3]=>[2,6,4,1,7,5,3]
[5,2,4,7,6,3,1]=>[2,6,4,3,7,5,1]
[5,2,6,1,3,4,7]=>[2,6,1,5,3,4,7]
[5,2,6,1,3,7,4]=>[2,7,6,1,5,3,4]
[5,2,6,1,4,3,7]=>[2,6,1,4,5,3,7]
[5,2,6,1,4,7,3]=>[2,7,6,1,4,5,3]
[5,2,6,1,7,3,4]=>[2,7,1,6,5,3,4]
[5,2,6,1,7,4,3]=>[2,7,1,4,6,5,3]
[5,2,6,3,1,4,7]=>[2,6,3,5,1,4,7]
[5,2,6,3,1,7,4]=>[2,7,6,3,5,1,4]
[5,2,6,3,4,1,7]=>[2,6,3,4,5,1,7]
[5,2,6,3,4,7,1]=>[2,7,6,3,4,5,1]
[5,2,6,3,7,1,4]=>[2,7,3,6,5,1,4]
[5,2,6,3,7,4,1]=>[2,7,3,4,6,5,1]
[5,2,6,4,1,3,7]=>[2,4,6,1,5,3,7]
[5,2,6,4,1,7,3]=>[2,4,7,6,1,5,3]
[5,2,6,4,3,1,7]=>[2,4,6,3,5,1,7]
[5,2,6,4,3,7,1]=>[2,4,7,6,3,5,1]
[5,2,6,4,7,1,3]=>[2,4,7,1,6,5,3]
[5,2,6,4,7,3,1]=>[2,4,7,3,6,5,1]
[5,2,6,7,1,3,4]=>[2,7,1,6,3,5,4]
[5,2,6,7,1,4,3]=>[2,7,1,6,4,5,3]
[5,2,6,7,3,1,4]=>[2,7,3,6,1,5,4]
[5,2,6,7,3,4,1]=>[2,7,3,6,4,5,1]
[5,2,6,7,4,1,3]=>[2,7,4,6,1,5,3]
[5,2,6,7,4,3,1]=>[2,7,4,6,3,5,1]
[5,2,7,1,3,4,6]=>[2,7,1,5,3,4,6]
[5,2,7,1,3,6,4]=>[2,6,7,1,5,3,4]
[5,2,7,1,4,3,6]=>[2,7,1,4,5,3,6]
[5,2,7,1,4,6,3]=>[2,6,7,1,4,5,3]
[5,2,7,1,6,3,4]=>[2,6,1,7,5,3,4]
[5,2,7,1,6,4,3]=>[2,6,1,4,7,5,3]
[5,2,7,3,1,4,6]=>[2,7,3,5,1,4,6]
[5,2,7,3,1,6,4]=>[2,6,7,3,5,1,4]
[5,2,7,3,4,1,6]=>[2,7,3,4,5,1,6]
[5,2,7,3,4,6,1]=>[2,6,7,3,4,5,1]
[5,2,7,3,6,1,4]=>[2,6,3,7,5,1,4]
[5,2,7,3,6,4,1]=>[2,6,3,4,7,5,1]
[5,2,7,4,1,3,6]=>[2,4,7,1,5,3,6]
[5,2,7,4,1,6,3]=>[2,4,6,7,1,5,3]
[5,2,7,4,3,1,6]=>[2,4,7,3,5,1,6]
[5,2,7,4,3,6,1]=>[2,4,6,7,3,5,1]
[5,2,7,4,6,1,3]=>[2,4,6,1,7,5,3]
[5,2,7,4,6,3,1]=>[2,4,6,3,7,5,1]
[5,2,7,6,1,3,4]=>[2,6,1,7,3,5,4]
[5,2,7,6,1,4,3]=>[2,6,1,7,4,5,3]
[5,2,7,6,3,1,4]=>[2,6,3,7,1,5,4]
[5,2,7,6,3,4,1]=>[2,6,3,7,4,5,1]
[5,2,7,6,4,1,3]=>[2,6,4,7,1,5,3]
[5,2,7,6,4,3,1]=>[2,6,4,7,3,5,1]
[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]
[5,3,1,2,6,4,7]=>[3,1,6,5,2,4,7]
[5,3,1,2,6,7,4]=>[3,1,7,6,5,2,4]
[5,3,1,2,7,4,6]=>[3,1,7,5,2,4,6]
[5,3,1,2,7,6,4]=>[3,1,6,7,5,2,4]
[5,3,1,4,2,6,7]=>[3,1,4,5,2,6,7]
[5,3,1,4,2,7,6]=>[3,1,4,5,2,7,6]
[5,3,1,4,6,2,7]=>[3,1,4,6,5,2,7]
[5,3,1,4,6,7,2]=>[3,1,4,7,6,5,2]
[5,3,1,4,7,2,6]=>[3,1,4,7,5,2,6]
[5,3,1,4,7,6,2]=>[3,1,4,6,7,5,2]
[5,3,1,6,2,4,7]=>[3,1,6,2,5,4,7]
[5,3,1,6,2,7,4]=>[3,1,7,6,2,5,4]
[5,3,1,6,4,2,7]=>[3,1,6,4,5,2,7]
[5,3,1,6,4,7,2]=>[3,1,7,6,4,5,2]
[5,3,1,6,7,2,4]=>[3,1,7,2,6,5,4]
[5,3,1,6,7,4,2]=>[3,1,7,4,6,5,2]
[5,3,1,7,2,4,6]=>[3,1,7,2,5,4,6]
[5,3,1,7,2,6,4]=>[3,1,6,7,2,5,4]
[5,3,1,7,4,2,6]=>[3,1,7,4,5,2,6]
[5,3,1,7,4,6,2]=>[3,1,6,7,4,5,2]
[5,3,1,7,6,2,4]=>[3,1,6,2,7,5,4]
[5,3,1,7,6,4,2]=>[3,1,6,4,7,5,2]
[5,3,2,1,4,6,7]=>[3,2,5,1,4,6,7]
[5,3,2,1,4,7,6]=>[3,2,5,1,4,7,6]
[5,3,2,1,6,4,7]=>[3,2,6,5,1,4,7]
[5,3,2,1,6,7,4]=>[3,2,7,6,5,1,4]
[5,3,2,1,7,4,6]=>[3,2,7,5,1,4,6]
[5,3,2,1,7,6,4]=>[3,2,6,7,5,1,4]
[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]
[5,3,2,4,1,7,6]=>[3,2,4,5,1,7,6]
[5,3,2,4,6,1,7]=>[3,2,4,6,5,1,7]
[5,3,2,4,6,7,1]=>[3,2,4,7,6,5,1]
[5,3,2,4,7,1,6]=>[3,2,4,7,5,1,6]
[5,3,2,4,7,6,1]=>[3,2,4,6,7,5,1]
[5,3,2,6,1,4,7]=>[3,2,6,1,5,4,7]
[5,3,2,6,1,7,4]=>[3,2,7,6,1,5,4]
[5,3,2,6,4,1,7]=>[3,2,6,4,5,1,7]
[5,3,2,6,4,7,1]=>[3,2,7,6,4,5,1]
[5,3,2,6,7,1,4]=>[3,2,7,1,6,5,4]
[5,3,2,6,7,4,1]=>[3,2,7,4,6,5,1]
[5,3,2,7,1,4,6]=>[3,2,7,1,5,4,6]
[5,3,2,7,1,6,4]=>[3,2,6,7,1,5,4]
[5,3,2,7,4,1,6]=>[3,2,7,4,5,1,6]
[5,3,2,7,4,6,1]=>[3,2,6,7,4,5,1]
[5,3,2,7,6,1,4]=>[3,2,6,1,7,5,4]
[5,3,2,7,6,4,1]=>[3,2,6,4,7,5,1]
[5,3,4,1,2,6,7]=>[4,3,1,5,2,6,7]
[5,3,4,1,2,7,6]=>[4,3,1,5,2,7,6]
[5,3,4,1,6,2,7]=>[4,3,1,6,5,2,7]
[5,3,4,1,6,7,2]=>[4,3,1,7,6,5,2]
[5,3,4,1,7,2,6]=>[4,3,1,7,5,2,6]
[5,3,4,1,7,6,2]=>[4,3,1,6,7,5,2]
[5,3,4,2,1,6,7]=>[4,3,2,5,1,6,7]
[5,3,4,2,1,7,6]=>[4,3,2,5,1,7,6]
[5,3,4,2,6,1,7]=>[4,3,2,6,5,1,7]
[5,3,4,2,6,7,1]=>[4,3,2,7,6,5,1]
[5,3,4,2,7,1,6]=>[4,3,2,7,5,1,6]
[5,3,4,2,7,6,1]=>[4,3,2,6,7,5,1]
[5,3,4,6,1,2,7]=>[6,4,3,1,5,2,7]
[5,3,4,6,1,7,2]=>[7,6,4,3,1,5,2]
[5,3,4,6,2,1,7]=>[6,4,3,2,5,1,7]
[5,3,4,6,2,7,1]=>[7,6,4,3,2,5,1]
[5,3,4,6,7,1,2]=>[7,4,3,1,6,5,2]
[5,3,4,6,7,2,1]=>[7,4,3,2,6,5,1]
[5,3,4,7,1,2,6]=>[7,4,3,1,5,2,6]
[5,3,4,7,1,6,2]=>[6,7,4,3,1,5,2]
[5,3,4,7,2,1,6]=>[7,4,3,2,5,1,6]
[5,3,4,7,2,6,1]=>[6,7,4,3,2,5,1]
[5,3,4,7,6,1,2]=>[6,4,3,1,7,5,2]
[5,3,4,7,6,2,1]=>[6,4,3,2,7,5,1]
[5,3,6,1,2,4,7]=>[6,3,1,5,2,4,7]
[5,3,6,1,2,7,4]=>[7,6,3,1,5,2,4]
[5,3,6,1,4,2,7]=>[6,3,1,4,5,2,7]
[5,3,6,1,4,7,2]=>[7,6,3,1,4,5,2]
[5,3,6,1,7,2,4]=>[7,3,1,6,5,2,4]
[5,3,6,1,7,4,2]=>[7,3,1,4,6,5,2]
[5,3,6,2,1,4,7]=>[6,3,2,5,1,4,7]
[5,3,6,2,1,7,4]=>[7,6,3,2,5,1,4]
[5,3,6,2,4,1,7]=>[6,3,2,4,5,1,7]
[5,3,6,2,4,7,1]=>[7,6,3,2,4,5,1]
[5,3,6,2,7,1,4]=>[7,3,2,6,5,1,4]
[5,3,6,2,7,4,1]=>[7,3,2,4,6,5,1]
[5,3,6,4,1,2,7]=>[4,6,3,1,5,2,7]
[5,3,6,4,1,7,2]=>[4,7,6,3,1,5,2]
[5,3,6,4,2,1,7]=>[4,6,3,2,5,1,7]
[5,3,6,4,2,7,1]=>[4,7,6,3,2,5,1]
[5,3,6,4,7,1,2]=>[4,7,3,1,6,5,2]
[5,3,6,4,7,2,1]=>[4,7,3,2,6,5,1]
[5,3,6,7,1,2,4]=>[7,3,1,6,2,5,4]
[5,3,6,7,1,4,2]=>[7,3,1,6,4,5,2]
[5,3,6,7,2,1,4]=>[7,3,2,6,1,5,4]
[5,3,6,7,2,4,1]=>[7,3,2,6,4,5,1]
[5,3,6,7,4,1,2]=>[7,4,6,3,1,5,2]
[5,3,6,7,4,2,1]=>[7,4,6,3,2,5,1]
[5,3,7,1,2,4,6]=>[7,3,1,5,2,4,6]
[5,3,7,1,2,6,4]=>[6,7,3,1,5,2,4]
[5,3,7,1,4,2,6]=>[7,3,1,4,5,2,6]
[5,3,7,1,4,6,2]=>[6,7,3,1,4,5,2]
[5,3,7,1,6,2,4]=>[6,3,1,7,5,2,4]
[5,3,7,1,6,4,2]=>[6,3,1,4,7,5,2]
[5,3,7,2,1,4,6]=>[7,3,2,5,1,4,6]
[5,3,7,2,1,6,4]=>[6,7,3,2,5,1,4]
[5,3,7,2,4,1,6]=>[7,3,2,4,5,1,6]
[5,3,7,2,4,6,1]=>[6,7,3,2,4,5,1]
[5,3,7,2,6,1,4]=>[6,3,2,7,5,1,4]
[5,3,7,2,6,4,1]=>[6,3,2,4,7,5,1]
[5,3,7,4,1,2,6]=>[4,7,3,1,5,2,6]
[5,3,7,4,1,6,2]=>[4,6,7,3,1,5,2]
[5,3,7,4,2,1,6]=>[4,7,3,2,5,1,6]
[5,3,7,4,2,6,1]=>[4,6,7,3,2,5,1]
[5,3,7,4,6,1,2]=>[4,6,3,1,7,5,2]
[5,3,7,4,6,2,1]=>[4,6,3,2,7,5,1]
[5,3,7,6,1,2,4]=>[6,3,1,7,2,5,4]
[5,3,7,6,1,4,2]=>[6,3,1,7,4,5,2]
[5,3,7,6,2,1,4]=>[6,3,2,7,1,5,4]
[5,3,7,6,2,4,1]=>[6,3,2,7,4,5,1]
[5,3,7,6,4,1,2]=>[6,4,7,3,1,5,2]
[5,3,7,6,4,2,1]=>[6,4,7,3,2,5,1]
[5,4,1,2,3,6,7]=>[4,1,5,2,3,6,7]
[5,4,1,2,3,7,6]=>[4,1,5,2,3,7,6]
[5,4,1,2,6,3,7]=>[4,1,6,5,2,3,7]
[5,4,1,2,6,7,3]=>[4,1,7,6,5,2,3]
[5,4,1,2,7,3,6]=>[4,1,7,5,2,3,6]
[5,4,1,2,7,6,3]=>[4,1,6,7,5,2,3]
[5,4,1,3,2,6,7]=>[4,1,3,5,2,6,7]
[5,4,1,3,2,7,6]=>[4,1,3,5,2,7,6]
[5,4,1,3,6,2,7]=>[4,1,3,6,5,2,7]
[5,4,1,3,6,7,2]=>[4,1,3,7,6,5,2]
[5,4,1,3,7,2,6]=>[4,1,3,7,5,2,6]
[5,4,1,3,7,6,2]=>[4,1,3,6,7,5,2]
[5,4,1,6,2,3,7]=>[6,4,1,5,2,3,7]
[5,4,1,6,2,7,3]=>[7,6,4,1,5,2,3]
[5,4,1,6,3,2,7]=>[6,4,1,3,5,2,7]
[5,4,1,6,3,7,2]=>[7,6,4,1,3,5,2]
[5,4,1,6,7,2,3]=>[7,4,1,6,5,2,3]
[5,4,1,6,7,3,2]=>[7,4,1,3,6,5,2]
[5,4,1,7,2,3,6]=>[7,4,1,5,2,3,6]
[5,4,1,7,2,6,3]=>[6,7,4,1,5,2,3]
[5,4,1,7,3,2,6]=>[7,4,1,3,5,2,6]
[5,4,1,7,3,6,2]=>[6,7,4,1,3,5,2]
[5,4,1,7,6,2,3]=>[6,4,1,7,5,2,3]
[5,4,1,7,6,3,2]=>[6,4,1,3,7,5,2]
[5,4,2,1,3,6,7]=>[4,2,5,1,3,6,7]
[5,4,2,1,3,7,6]=>[4,2,5,1,3,7,6]
[5,4,2,1,6,3,7]=>[4,2,6,5,1,3,7]
[5,4,2,1,6,7,3]=>[4,2,7,6,5,1,3]
[5,4,2,1,7,3,6]=>[4,2,7,5,1,3,6]
[5,4,2,1,7,6,3]=>[4,2,6,7,5,1,3]
[5,4,2,3,1,6,7]=>[4,2,3,5,1,6,7]
[5,4,2,3,1,7,6]=>[4,2,3,5,1,7,6]
[5,4,2,3,6,1,7]=>[4,2,3,6,5,1,7]
[5,4,2,3,6,7,1]=>[4,2,3,7,6,5,1]
[5,4,2,3,7,1,6]=>[4,2,3,7,5,1,6]
[5,4,2,3,7,6,1]=>[4,2,3,6,7,5,1]
[5,4,2,6,1,3,7]=>[6,4,2,5,1,3,7]
[5,4,2,6,1,7,3]=>[7,6,4,2,5,1,3]
[5,4,2,6,3,1,7]=>[6,4,2,3,5,1,7]
[5,4,2,6,3,7,1]=>[7,6,4,2,3,5,1]
[5,4,2,6,7,1,3]=>[7,4,2,6,5,1,3]
[5,4,2,6,7,3,1]=>[7,4,2,3,6,5,1]
[5,4,2,7,1,3,6]=>[7,4,2,5,1,3,6]
[5,4,2,7,1,6,3]=>[6,7,4,2,5,1,3]
[5,4,2,7,3,1,6]=>[7,4,2,3,5,1,6]
[5,4,2,7,3,6,1]=>[6,7,4,2,3,5,1]
[5,4,2,7,6,1,3]=>[6,4,2,7,5,1,3]
[5,4,2,7,6,3,1]=>[6,4,2,3,7,5,1]
[5,4,3,1,2,6,7]=>[3,4,1,5,2,6,7]
[5,4,3,1,2,7,6]=>[3,4,1,5,2,7,6]
[5,4,3,1,6,2,7]=>[3,4,1,6,5,2,7]
[5,4,3,1,6,7,2]=>[3,4,1,7,6,5,2]
[5,4,3,1,7,2,6]=>[3,4,1,7,5,2,6]
[5,4,3,1,7,6,2]=>[3,4,1,6,7,5,2]
[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]
[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]
[5,4,3,2,6,1,7]=>[3,4,2,6,5,1,7]
[5,4,3,2,6,7,1]=>[3,4,2,7,6,5,1]
[5,4,3,2,7,1,6]=>[3,4,2,7,5,1,6]
[5,4,3,2,7,6,1]=>[3,4,2,6,7,5,1]
[5,4,3,6,1,2,7]=>[3,6,4,1,5,2,7]
[5,4,3,6,1,7,2]=>[3,7,6,4,1,5,2]
[5,4,3,6,2,1,7]=>[3,6,4,2,5,1,7]
[5,4,3,6,2,7,1]=>[3,7,6,4,2,5,1]
[5,4,3,6,7,1,2]=>[3,7,4,1,6,5,2]
[5,4,3,6,7,2,1]=>[3,7,4,2,6,5,1]
[5,4,3,7,1,2,6]=>[3,7,4,1,5,2,6]
[5,4,3,7,1,6,2]=>[3,6,7,4,1,5,2]
[5,4,3,7,2,1,6]=>[3,7,4,2,5,1,6]
[5,4,3,7,2,6,1]=>[3,6,7,4,2,5,1]
[5,4,3,7,6,1,2]=>[3,6,4,1,7,5,2]
[5,4,3,7,6,2,1]=>[3,6,4,2,7,5,1]
[5,4,6,1,2,3,7]=>[6,1,4,2,5,3,7]
[5,4,6,1,2,7,3]=>[7,6,1,4,2,5,3]
[5,4,6,1,3,2,7]=>[6,1,4,3,5,2,7]
[5,4,6,1,3,7,2]=>[7,6,1,4,3,5,2]
[5,4,6,1,7,2,3]=>[7,1,4,2,6,5,3]
[5,4,6,1,7,3,2]=>[7,1,4,3,6,5,2]
[5,4,6,2,1,3,7]=>[6,2,4,1,5,3,7]
[5,4,6,2,1,7,3]=>[7,6,2,4,1,5,3]
[5,4,6,2,3,1,7]=>[6,2,4,3,5,1,7]
[5,4,6,2,3,7,1]=>[7,6,2,4,3,5,1]
[5,4,6,2,7,1,3]=>[7,2,4,1,6,5,3]
[5,4,6,2,7,3,1]=>[7,2,4,3,6,5,1]
[5,4,6,3,1,2,7]=>[6,3,4,1,5,2,7]
[5,4,6,3,1,7,2]=>[7,6,3,4,1,5,2]
[5,4,6,3,2,1,7]=>[6,3,4,2,5,1,7]
[5,4,6,3,2,7,1]=>[7,6,3,4,2,5,1]
[5,4,6,3,7,1,2]=>[7,3,4,1,6,5,2]
[5,4,6,3,7,2,1]=>[7,3,4,2,6,5,1]
[5,4,6,7,1,2,3]=>[7,1,6,4,2,5,3]
[5,4,6,7,1,3,2]=>[7,1,6,4,3,5,2]
[5,4,6,7,2,1,3]=>[7,2,6,4,1,5,3]
[5,4,6,7,2,3,1]=>[7,2,6,4,3,5,1]
[5,4,6,7,3,1,2]=>[7,3,6,4,1,5,2]
[5,4,6,7,3,2,1]=>[7,3,6,4,2,5,1]
[5,4,7,1,2,3,6]=>[7,1,4,2,5,3,6]
[5,4,7,1,2,6,3]=>[6,7,1,4,2,5,3]
[5,4,7,1,3,2,6]=>[7,1,4,3,5,2,6]
[5,4,7,1,3,6,2]=>[6,7,1,4,3,5,2]
[5,4,7,1,6,2,3]=>[6,1,4,2,7,5,3]
[5,4,7,1,6,3,2]=>[6,1,4,3,7,5,2]
[5,4,7,2,1,3,6]=>[7,2,4,1,5,3,6]
[5,4,7,2,1,6,3]=>[6,7,2,4,1,5,3]
[5,4,7,2,3,1,6]=>[7,2,4,3,5,1,6]
[5,4,7,2,3,6,1]=>[6,7,2,4,3,5,1]
[5,4,7,2,6,1,3]=>[6,2,4,1,7,5,3]
[5,4,7,2,6,3,1]=>[6,2,4,3,7,5,1]
[5,4,7,3,1,2,6]=>[7,3,4,1,5,2,6]
[5,4,7,3,1,6,2]=>[6,7,3,4,1,5,2]
[5,4,7,3,2,1,6]=>[7,3,4,2,5,1,6]
[5,4,7,3,2,6,1]=>[6,7,3,4,2,5,1]
[5,4,7,3,6,1,2]=>[6,3,4,1,7,5,2]
[5,4,7,3,6,2,1]=>[6,3,4,2,7,5,1]
[5,4,7,6,1,2,3]=>[6,1,7,4,2,5,3]
[5,4,7,6,1,3,2]=>[6,1,7,4,3,5,2]
[5,4,7,6,2,1,3]=>[6,2,7,4,1,5,3]
[5,4,7,6,2,3,1]=>[6,2,7,4,3,5,1]
[5,4,7,6,3,1,2]=>[6,3,7,4,1,5,2]
[5,4,7,6,3,2,1]=>[6,3,7,4,2,5,1]
[5,6,1,2,3,4,7]=>[6,1,5,2,3,4,7]
[5,6,1,2,3,7,4]=>[7,6,1,5,2,3,4]
[5,6,1,2,4,3,7]=>[6,1,4,5,2,3,7]
[5,6,1,2,4,7,3]=>[7,6,1,4,5,2,3]
[5,6,1,2,7,3,4]=>[7,1,6,5,2,3,4]
[5,6,1,2,7,4,3]=>[7,1,4,6,5,2,3]
[5,6,1,3,2,4,7]=>[6,1,3,5,2,4,7]
[5,6,1,3,2,7,4]=>[7,6,1,3,5,2,4]
[5,6,1,3,4,2,7]=>[6,1,3,4,5,2,7]
[5,6,1,3,4,7,2]=>[7,6,1,3,4,5,2]
[5,6,1,3,7,2,4]=>[7,1,3,6,5,2,4]
[5,6,1,3,7,4,2]=>[7,1,3,4,6,5,2]
[5,6,1,4,2,3,7]=>[4,6,1,5,2,3,7]
[5,6,1,4,2,7,3]=>[4,7,6,1,5,2,3]
[5,6,1,4,3,2,7]=>[4,6,1,3,5,2,7]
[5,6,1,4,3,7,2]=>[4,7,6,1,3,5,2]
[5,6,1,4,7,2,3]=>[4,7,1,6,5,2,3]
[5,6,1,4,7,3,2]=>[4,7,1,3,6,5,2]
[5,6,1,7,2,3,4]=>[7,1,6,2,3,5,4]
[5,6,1,7,2,4,3]=>[7,1,6,4,5,2,3]
[5,6,1,7,3,2,4]=>[7,1,3,6,2,5,4]
[5,6,1,7,3,4,2]=>[7,1,3,6,4,5,2]
[5,6,1,7,4,2,3]=>[7,4,6,1,5,2,3]
[5,6,1,7,4,3,2]=>[7,4,6,1,3,5,2]
[5,6,2,1,3,4,7]=>[6,2,5,1,3,4,7]
[5,6,2,1,3,7,4]=>[7,6,2,5,1,3,4]
[5,6,2,1,4,3,7]=>[6,2,4,5,1,3,7]
[5,6,2,1,4,7,3]=>[7,6,2,4,5,1,3]
[5,6,2,1,7,3,4]=>[7,2,6,5,1,3,4]
[5,6,2,1,7,4,3]=>[7,2,4,6,5,1,3]
[5,6,2,3,1,4,7]=>[6,2,3,5,1,4,7]
[5,6,2,3,1,7,4]=>[7,6,2,3,5,1,4]
[5,6,2,3,4,1,7]=>[6,2,3,4,5,1,7]
[5,6,2,3,4,7,1]=>[7,6,2,3,4,5,1]
[5,6,2,3,7,1,4]=>[7,2,3,6,5,1,4]
[5,6,2,3,7,4,1]=>[7,2,3,4,6,5,1]
[5,6,2,4,1,3,7]=>[4,6,2,5,1,3,7]
[5,6,2,4,1,7,3]=>[4,7,6,2,5,1,3]
[5,6,2,4,3,1,7]=>[4,6,2,3,5,1,7]
[5,6,2,4,3,7,1]=>[4,7,6,2,3,5,1]
[5,6,2,4,7,1,3]=>[4,7,2,6,5,1,3]
[5,6,2,4,7,3,1]=>[4,7,2,3,6,5,1]
[5,6,2,7,1,3,4]=>[7,2,6,1,3,5,4]
[5,6,2,7,1,4,3]=>[7,2,6,4,5,1,3]
[5,6,2,7,3,1,4]=>[7,2,3,6,1,5,4]
[5,6,2,7,3,4,1]=>[7,2,3,6,4,5,1]
[5,6,2,7,4,1,3]=>[7,4,6,2,5,1,3]
[5,6,2,7,4,3,1]=>[7,4,6,2,3,5,1]
[5,6,3,1,2,4,7]=>[3,6,1,5,2,4,7]
[5,6,3,1,2,7,4]=>[3,7,6,1,5,2,4]
[5,6,3,1,4,2,7]=>[3,6,1,4,5,2,7]
[5,6,3,1,4,7,2]=>[3,7,6,1,4,5,2]
[5,6,3,1,7,2,4]=>[3,7,1,6,5,2,4]
[5,6,3,1,7,4,2]=>[3,7,1,4,6,5,2]
[5,6,3,2,1,4,7]=>[3,6,2,5,1,4,7]
[5,6,3,2,1,7,4]=>[3,7,6,2,5,1,4]
[5,6,3,2,4,1,7]=>[3,6,2,4,5,1,7]
[5,6,3,2,4,7,1]=>[3,7,6,2,4,5,1]
[5,6,3,2,7,1,4]=>[3,7,2,6,5,1,4]
[5,6,3,2,7,4,1]=>[3,7,2,4,6,5,1]
[5,6,3,4,1,2,7]=>[3,4,6,1,5,2,7]
[5,6,3,4,1,7,2]=>[3,4,7,6,1,5,2]
[5,6,3,4,2,1,7]=>[3,4,6,2,5,1,7]
[5,6,3,4,2,7,1]=>[3,4,7,6,2,5,1]
[5,6,3,4,7,1,2]=>[3,4,7,1,6,5,2]
[5,6,3,4,7,2,1]=>[3,4,7,2,6,5,1]
[5,6,3,7,1,2,4]=>[3,7,1,6,2,5,4]
[5,6,3,7,1,4,2]=>[3,7,1,6,4,5,2]
[5,6,3,7,2,1,4]=>[3,7,2,6,1,5,4]
[5,6,3,7,2,4,1]=>[3,7,2,6,4,5,1]
[5,6,3,7,4,1,2]=>[3,7,4,6,1,5,2]
[5,6,3,7,4,2,1]=>[3,7,4,6,2,5,1]
[5,6,4,1,2,3,7]=>[4,1,6,2,5,3,7]
[5,6,4,1,2,7,3]=>[4,1,7,6,2,5,3]
[5,6,4,1,3,2,7]=>[4,1,6,3,5,2,7]
[5,6,4,1,3,7,2]=>[4,1,7,6,3,5,2]
[5,6,4,1,7,2,3]=>[4,1,7,2,6,5,3]
[5,6,4,1,7,3,2]=>[4,1,7,3,6,5,2]
[5,6,4,2,1,3,7]=>[4,2,6,1,5,3,7]
[5,6,4,2,1,7,3]=>[4,2,7,6,1,5,3]
[5,6,4,2,3,1,7]=>[4,2,6,3,5,1,7]
[5,6,4,2,3,7,1]=>[4,2,7,6,3,5,1]
[5,6,4,2,7,1,3]=>[4,2,7,1,6,5,3]
[5,6,4,2,7,3,1]=>[4,2,7,3,6,5,1]
[5,6,4,3,1,2,7]=>[4,3,6,1,5,2,7]
[5,6,4,3,1,7,2]=>[4,3,7,6,1,5,2]
[5,6,4,3,2,1,7]=>[4,3,6,2,5,1,7]
[5,6,4,3,2,7,1]=>[4,3,7,6,2,5,1]
[5,6,4,3,7,1,2]=>[4,3,7,1,6,5,2]
[5,6,4,3,7,2,1]=>[4,3,7,2,6,5,1]
[5,6,4,7,1,2,3]=>[7,4,1,6,2,5,3]
[5,6,4,7,1,3,2]=>[7,4,1,6,3,5,2]
[5,6,4,7,2,1,3]=>[7,4,2,6,1,5,3]
[5,6,4,7,2,3,1]=>[7,4,2,6,3,5,1]
[5,6,4,7,3,1,2]=>[7,4,3,6,1,5,2]
[5,6,4,7,3,2,1]=>[7,4,3,6,2,5,1]
[5,6,7,1,2,3,4]=>[7,1,6,2,5,3,4]
[5,6,7,1,2,4,3]=>[7,1,6,2,4,5,3]
[5,6,7,1,3,2,4]=>[7,1,6,3,5,2,4]
[5,6,7,1,3,4,2]=>[7,1,6,3,4,5,2]
[5,6,7,1,4,2,3]=>[7,1,4,6,2,5,3]
[5,6,7,1,4,3,2]=>[7,1,4,6,3,5,2]
[5,6,7,2,1,3,4]=>[7,2,6,1,5,3,4]
[5,6,7,2,1,4,3]=>[7,2,6,1,4,5,3]
[5,6,7,2,3,1,4]=>[7,2,6,3,5,1,4]
[5,6,7,2,3,4,1]=>[7,2,6,3,4,5,1]
[5,6,7,2,4,1,3]=>[7,2,4,6,1,5,3]
[5,6,7,2,4,3,1]=>[7,2,4,6,3,5,1]
[5,6,7,3,1,2,4]=>[7,3,6,1,5,2,4]
[5,6,7,3,1,4,2]=>[7,3,6,1,4,5,2]
[5,6,7,3,2,1,4]=>[7,3,6,2,5,1,4]
[5,6,7,3,2,4,1]=>[7,3,6,2,4,5,1]
[5,6,7,3,4,1,2]=>[7,3,4,6,1,5,2]
[5,6,7,3,4,2,1]=>[7,3,4,6,2,5,1]
[5,6,7,4,1,2,3]=>[4,7,1,6,2,5,3]
[5,6,7,4,1,3,2]=>[4,7,1,6,3,5,2]
[5,6,7,4,2,1,3]=>[4,7,2,6,1,5,3]
[5,6,7,4,2,3,1]=>[4,7,2,6,3,5,1]
[5,6,7,4,3,1,2]=>[4,7,3,6,1,5,2]
[5,6,7,4,3,2,1]=>[4,7,3,6,2,5,1]
[5,7,1,2,3,4,6]=>[7,1,5,2,3,4,6]
[5,7,1,2,3,6,4]=>[6,7,1,5,2,3,4]
[5,7,1,2,4,3,6]=>[7,1,4,5,2,3,6]
[5,7,1,2,4,6,3]=>[6,7,1,4,5,2,3]
[5,7,1,2,6,3,4]=>[6,1,7,5,2,3,4]
[5,7,1,2,6,4,3]=>[6,1,4,7,5,2,3]
[5,7,1,3,2,4,6]=>[7,1,3,5,2,4,6]
[5,7,1,3,2,6,4]=>[6,7,1,3,5,2,4]
[5,7,1,3,4,2,6]=>[7,1,3,4,5,2,6]
[5,7,1,3,4,6,2]=>[6,7,1,3,4,5,2]
[5,7,1,3,6,2,4]=>[6,1,3,7,5,2,4]
[5,7,1,3,6,4,2]=>[6,1,3,4,7,5,2]
[5,7,1,4,2,3,6]=>[4,7,1,5,2,3,6]
[5,7,1,4,2,6,3]=>[4,6,7,1,5,2,3]
[5,7,1,4,3,2,6]=>[4,7,1,3,5,2,6]
[5,7,1,4,3,6,2]=>[4,6,7,1,3,5,2]
[5,7,1,4,6,2,3]=>[4,6,1,7,5,2,3]
[5,7,1,4,6,3,2]=>[4,6,1,3,7,5,2]
[5,7,1,6,2,3,4]=>[6,1,7,2,3,5,4]
[5,7,1,6,2,4,3]=>[6,1,7,4,5,2,3]
[5,7,1,6,3,2,4]=>[6,1,3,7,2,5,4]
[5,7,1,6,3,4,2]=>[6,1,3,7,4,5,2]
[5,7,1,6,4,2,3]=>[6,4,7,1,5,2,3]
[5,7,1,6,4,3,2]=>[6,4,7,1,3,5,2]
[5,7,2,1,3,4,6]=>[7,2,5,1,3,4,6]
[5,7,2,1,3,6,4]=>[6,7,2,5,1,3,4]
[5,7,2,1,4,3,6]=>[7,2,4,5,1,3,6]
[5,7,2,1,4,6,3]=>[6,7,2,4,5,1,3]
[5,7,2,1,6,3,4]=>[6,2,7,5,1,3,4]
[5,7,2,1,6,4,3]=>[6,2,4,7,5,1,3]
[5,7,2,3,1,4,6]=>[7,2,3,5,1,4,6]
[5,7,2,3,1,6,4]=>[6,7,2,3,5,1,4]
[5,7,2,3,4,1,6]=>[7,2,3,4,5,1,6]
[5,7,2,3,4,6,1]=>[6,7,2,3,4,5,1]
[5,7,2,3,6,1,4]=>[6,2,3,7,5,1,4]
[5,7,2,3,6,4,1]=>[6,2,3,4,7,5,1]
[5,7,2,4,1,3,6]=>[4,7,2,5,1,3,6]
[5,7,2,4,1,6,3]=>[4,6,7,2,5,1,3]
[5,7,2,4,3,1,6]=>[4,7,2,3,5,1,6]
[5,7,2,4,3,6,1]=>[4,6,7,2,3,5,1]
[5,7,2,4,6,1,3]=>[4,6,2,7,5,1,3]
[5,7,2,4,6,3,1]=>[4,6,2,3,7,5,1]
[5,7,2,6,1,3,4]=>[6,2,7,1,3,5,4]
[5,7,2,6,1,4,3]=>[6,2,7,4,5,1,3]
[5,7,2,6,3,1,4]=>[6,2,3,7,1,5,4]
[5,7,2,6,3,4,1]=>[6,2,3,7,4,5,1]
[5,7,2,6,4,1,3]=>[6,4,7,2,5,1,3]
[5,7,2,6,4,3,1]=>[6,4,7,2,3,5,1]
[5,7,3,1,2,4,6]=>[3,7,1,5,2,4,6]
[5,7,3,1,2,6,4]=>[3,6,7,1,5,2,4]
[5,7,3,1,4,2,6]=>[3,7,1,4,5,2,6]
[5,7,3,1,4,6,2]=>[3,6,7,1,4,5,2]
[5,7,3,1,6,2,4]=>[3,6,1,7,5,2,4]
[5,7,3,1,6,4,2]=>[3,6,1,4,7,5,2]
[5,7,3,2,1,4,6]=>[3,7,2,5,1,4,6]
[5,7,3,2,1,6,4]=>[3,6,7,2,5,1,4]
[5,7,3,2,4,1,6]=>[3,7,2,4,5,1,6]
[5,7,3,2,4,6,1]=>[3,6,7,2,4,5,1]
[5,7,3,2,6,1,4]=>[3,6,2,7,5,1,4]
[5,7,3,2,6,4,1]=>[3,6,2,4,7,5,1]
[5,7,3,4,1,2,6]=>[3,4,7,1,5,2,6]
[5,7,3,4,1,6,2]=>[3,4,6,7,1,5,2]
[5,7,3,4,2,1,6]=>[3,4,7,2,5,1,6]
[5,7,3,4,2,6,1]=>[3,4,6,7,2,5,1]
[5,7,3,4,6,1,2]=>[3,4,6,1,7,5,2]
[5,7,3,4,6,2,1]=>[3,4,6,2,7,5,1]
[5,7,3,6,1,2,4]=>[3,6,1,7,2,5,4]
[5,7,3,6,1,4,2]=>[3,6,1,7,4,5,2]
[5,7,3,6,2,1,4]=>[3,6,2,7,1,5,4]
[5,7,3,6,2,4,1]=>[3,6,2,7,4,5,1]
[5,7,3,6,4,1,2]=>[3,6,4,7,1,5,2]
[5,7,3,6,4,2,1]=>[3,6,4,7,2,5,1]
[5,7,4,1,2,3,6]=>[4,1,7,2,5,3,6]
[5,7,4,1,2,6,3]=>[4,1,6,7,2,5,3]
[5,7,4,1,3,2,6]=>[4,1,7,3,5,2,6]
[5,7,4,1,3,6,2]=>[4,1,6,7,3,5,2]
[5,7,4,1,6,2,3]=>[4,1,6,2,7,5,3]
[5,7,4,1,6,3,2]=>[4,1,6,3,7,5,2]
[5,7,4,2,1,3,6]=>[4,2,7,1,5,3,6]
[5,7,4,2,1,6,3]=>[4,2,6,7,1,5,3]
[5,7,4,2,3,1,6]=>[4,2,7,3,5,1,6]
[5,7,4,2,3,6,1]=>[4,2,6,7,3,5,1]
[5,7,4,2,6,1,3]=>[4,2,6,1,7,5,3]
[5,7,4,2,6,3,1]=>[4,2,6,3,7,5,1]
[5,7,4,3,1,2,6]=>[4,3,7,1,5,2,6]
[5,7,4,3,1,6,2]=>[4,3,6,7,1,5,2]
[5,7,4,3,2,1,6]=>[4,3,7,2,5,1,6]
[5,7,4,3,2,6,1]=>[4,3,6,7,2,5,1]
[5,7,4,3,6,1,2]=>[4,3,6,1,7,5,2]
[5,7,4,3,6,2,1]=>[4,3,6,2,7,5,1]
[5,7,4,6,1,2,3]=>[6,4,1,7,2,5,3]
[5,7,4,6,1,3,2]=>[6,4,1,7,3,5,2]
[5,7,4,6,2,1,3]=>[6,4,2,7,1,5,3]
[5,7,4,6,2,3,1]=>[6,4,2,7,3,5,1]
[5,7,4,6,3,1,2]=>[6,4,3,7,1,5,2]
[5,7,4,6,3,2,1]=>[6,4,3,7,2,5,1]
[5,7,6,1,2,3,4]=>[6,1,7,2,5,3,4]
[5,7,6,1,2,4,3]=>[6,1,7,2,4,5,3]
[5,7,6,1,3,2,4]=>[6,1,7,3,5,2,4]
[5,7,6,1,3,4,2]=>[6,1,7,3,4,5,2]
[5,7,6,1,4,2,3]=>[6,1,4,7,2,5,3]
[5,7,6,1,4,3,2]=>[6,1,4,7,3,5,2]
[5,7,6,2,1,3,4]=>[6,2,7,1,5,3,4]
[5,7,6,2,1,4,3]=>[6,2,7,1,4,5,3]
[5,7,6,2,3,1,4]=>[6,2,7,3,5,1,4]
[5,7,6,2,3,4,1]=>[6,2,7,3,4,5,1]
[5,7,6,2,4,1,3]=>[6,2,4,7,1,5,3]
[5,7,6,2,4,3,1]=>[6,2,4,7,3,5,1]
[5,7,6,3,1,2,4]=>[6,3,7,1,5,2,4]
[5,7,6,3,1,4,2]=>[6,3,7,1,4,5,2]
[5,7,6,3,2,1,4]=>[6,3,7,2,5,1,4]
[5,7,6,3,2,4,1]=>[6,3,7,2,4,5,1]
[5,7,6,3,4,1,2]=>[6,3,4,7,1,5,2]
[5,7,6,3,4,2,1]=>[6,3,4,7,2,5,1]
[5,7,6,4,1,2,3]=>[4,6,1,7,2,5,3]
[5,7,6,4,1,3,2]=>[4,6,1,7,3,5,2]
[5,7,6,4,2,1,3]=>[4,6,2,7,1,5,3]
[5,7,6,4,2,3,1]=>[4,6,2,7,3,5,1]
[5,7,6,4,3,1,2]=>[4,6,3,7,1,5,2]
[5,7,6,4,3,2,1]=>[4,6,3,7,2,5,1]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[6,1,2,3,4,7,5]=>[7,6,1,2,3,4,5]
[6,1,2,3,5,4,7]=>[5,6,1,2,3,4,7]
[6,1,2,3,5,7,4]=>[5,7,6,1,2,3,4]
[6,1,2,3,7,4,5]=>[7,1,2,3,4,6,5]
[6,1,2,3,7,5,4]=>[7,5,6,1,2,3,4]
[6,1,2,4,3,5,7]=>[4,6,1,2,3,5,7]
[6,1,2,4,3,7,5]=>[4,7,6,1,2,3,5]
[6,1,2,4,5,3,7]=>[4,5,6,1,2,3,7]
[6,1,2,4,5,7,3]=>[4,5,7,6,1,2,3]
[6,1,2,4,7,3,5]=>[4,7,1,2,3,6,5]
[6,1,2,4,7,5,3]=>[4,7,5,6,1,2,3]
[6,1,2,5,3,4,7]=>[5,1,2,3,6,4,7]
[6,1,2,5,3,7,4]=>[5,1,2,3,7,6,4]
[6,1,2,5,4,3,7]=>[5,4,6,1,2,3,7]
[6,1,2,5,4,7,3]=>[5,4,7,6,1,2,3]
[6,1,2,5,7,3,4]=>[7,5,1,2,3,6,4]
[6,1,2,5,7,4,3]=>[7,5,4,6,1,2,3]
[6,1,2,7,3,4,5]=>[7,1,2,3,6,4,5]
[6,1,2,7,3,5,4]=>[7,1,2,3,5,6,4]
[6,1,2,7,4,3,5]=>[7,4,6,1,2,3,5]
[6,1,2,7,4,5,3]=>[7,4,5,6,1,2,3]
[6,1,2,7,5,3,4]=>[5,7,1,2,3,6,4]
[6,1,2,7,5,4,3]=>[5,7,4,6,1,2,3]
[6,1,3,2,4,5,7]=>[3,6,1,2,4,5,7]
[6,1,3,2,4,7,5]=>[3,7,6,1,2,4,5]
[6,1,3,2,5,4,7]=>[3,5,6,1,2,4,7]
[6,1,3,2,5,7,4]=>[3,5,7,6,1,2,4]
[6,1,3,2,7,4,5]=>[3,7,1,2,4,6,5]
[6,1,3,2,7,5,4]=>[3,7,5,6,1,2,4]
[6,1,3,4,2,5,7]=>[3,4,6,1,2,5,7]
[6,1,3,4,2,7,5]=>[3,4,7,6,1,2,5]
[6,1,3,4,5,2,7]=>[3,4,5,6,1,2,7]
[6,1,3,4,5,7,2]=>[3,4,5,7,6,1,2]
[6,1,3,4,7,2,5]=>[3,4,7,1,2,6,5]
[6,1,3,4,7,5,2]=>[3,4,7,5,6,1,2]
[6,1,3,5,2,4,7]=>[3,5,1,2,6,4,7]
[6,1,3,5,2,7,4]=>[3,5,1,2,7,6,4]
[6,1,3,5,4,2,7]=>[3,5,4,6,1,2,7]
[6,1,3,5,4,7,2]=>[3,5,4,7,6,1,2]
[6,1,3,5,7,2,4]=>[3,7,5,1,2,6,4]
[6,1,3,5,7,4,2]=>[3,7,5,4,6,1,2]
[6,1,3,7,2,4,5]=>[3,7,1,2,6,4,5]
[6,1,3,7,2,5,4]=>[3,7,1,2,5,6,4]
[6,1,3,7,4,2,5]=>[3,7,4,6,1,2,5]
[6,1,3,7,4,5,2]=>[3,7,4,5,6,1,2]
[6,1,3,7,5,2,4]=>[3,5,7,1,2,6,4]
[6,1,3,7,5,4,2]=>[3,5,7,4,6,1,2]
[6,1,4,2,3,5,7]=>[4,1,2,6,3,5,7]
[6,1,4,2,3,7,5]=>[4,1,2,7,6,3,5]
[6,1,4,2,5,3,7]=>[4,1,2,5,6,3,7]
[6,1,4,2,5,7,3]=>[4,1,2,5,7,6,3]
[6,1,4,2,7,3,5]=>[4,1,2,7,3,6,5]
[6,1,4,2,7,5,3]=>[4,1,2,7,5,6,3]
[6,1,4,3,2,5,7]=>[4,3,6,1,2,5,7]
[6,1,4,3,2,7,5]=>[4,3,7,6,1,2,5]
[6,1,4,3,5,2,7]=>[4,3,5,6,1,2,7]
[6,1,4,3,5,7,2]=>[4,3,5,7,6,1,2]
[6,1,4,3,7,2,5]=>[4,3,7,1,2,6,5]
[6,1,4,3,7,5,2]=>[4,3,7,5,6,1,2]
[6,1,4,5,2,3,7]=>[5,4,1,2,6,3,7]
[6,1,4,5,2,7,3]=>[5,4,1,2,7,6,3]
[6,1,4,5,3,2,7]=>[5,4,3,6,1,2,7]
[6,1,4,5,3,7,2]=>[5,4,3,7,6,1,2]
[6,1,4,5,7,2,3]=>[7,5,4,1,2,6,3]
[6,1,4,5,7,3,2]=>[7,5,4,3,6,1,2]
[6,1,4,7,2,3,5]=>[7,4,1,2,6,3,5]
[6,1,4,7,2,5,3]=>[7,4,1,2,5,6,3]
[6,1,4,7,3,2,5]=>[7,4,3,6,1,2,5]
[6,1,4,7,3,5,2]=>[7,4,3,5,6,1,2]
[6,1,4,7,5,2,3]=>[5,7,4,1,2,6,3]
[6,1,4,7,5,3,2]=>[5,7,4,3,6,1,2]
[6,1,5,2,3,4,7]=>[5,1,2,6,3,4,7]
[6,1,5,2,3,7,4]=>[5,1,2,7,6,3,4]
[6,1,5,2,4,3,7]=>[5,1,2,4,6,3,7]
[6,1,5,2,4,7,3]=>[5,1,2,4,7,6,3]
[6,1,5,2,7,3,4]=>[7,5,1,2,6,3,4]
[6,1,5,2,7,4,3]=>[7,5,1,2,4,6,3]
[6,1,5,3,2,4,7]=>[5,3,6,1,2,4,7]
[6,1,5,3,2,7,4]=>[5,3,7,6,1,2,4]
[6,1,5,3,4,2,7]=>[5,3,4,6,1,2,7]
[6,1,5,3,4,7,2]=>[5,3,4,7,6,1,2]
[6,1,5,3,7,2,4]=>[7,5,3,6,1,2,4]
[6,1,5,3,7,4,2]=>[7,5,3,4,6,1,2]
[6,1,5,4,2,3,7]=>[4,5,1,2,6,3,7]
[6,1,5,4,2,7,3]=>[4,5,1,2,7,6,3]
[6,1,5,4,3,2,7]=>[4,5,3,6,1,2,7]
[6,1,5,4,3,7,2]=>[4,5,3,7,6,1,2]
[6,1,5,4,7,2,3]=>[4,7,5,1,2,6,3]
[6,1,5,4,7,3,2]=>[4,7,5,3,6,1,2]
[6,1,5,7,2,3,4]=>[7,1,2,5,3,6,4]
[6,1,5,7,2,4,3]=>[7,1,2,5,4,6,3]
[6,1,5,7,3,2,4]=>[7,3,5,1,2,6,4]
[6,1,5,7,3,4,2]=>[7,3,5,4,6,1,2]
[6,1,5,7,4,2,3]=>[7,4,5,1,2,6,3]
[6,1,5,7,4,3,2]=>[7,4,5,3,6,1,2]
[6,1,7,2,3,4,5]=>[7,1,2,6,3,4,5]
[6,1,7,2,3,5,4]=>[7,1,2,5,6,3,4]
[6,1,7,2,4,3,5]=>[7,1,2,4,6,3,5]
[6,1,7,2,4,5,3]=>[7,1,2,4,5,6,3]
[6,1,7,2,5,3,4]=>[5,7,1,2,6,3,4]
[6,1,7,2,5,4,3]=>[5,7,1,2,4,6,3]
[6,1,7,3,2,4,5]=>[7,3,6,1,2,4,5]
[6,1,7,3,2,5,4]=>[7,3,5,6,1,2,4]
[6,1,7,3,4,2,5]=>[7,3,4,6,1,2,5]
[6,1,7,3,4,5,2]=>[7,3,4,5,6,1,2]
[6,1,7,3,5,2,4]=>[5,7,3,6,1,2,4]
[6,1,7,3,5,4,2]=>[5,7,3,4,6,1,2]
[6,1,7,4,2,3,5]=>[4,7,1,2,6,3,5]
[6,1,7,4,2,5,3]=>[4,7,1,2,5,6,3]
[6,1,7,4,3,2,5]=>[4,7,3,6,1,2,5]
[6,1,7,4,3,5,2]=>[4,7,3,5,6,1,2]
[6,1,7,4,5,2,3]=>[4,5,7,1,2,6,3]
[6,1,7,4,5,3,2]=>[4,5,7,3,6,1,2]
[6,1,7,5,2,3,4]=>[5,1,2,7,3,6,4]
[6,1,7,5,2,4,3]=>[5,1,2,7,4,6,3]
[6,1,7,5,3,2,4]=>[5,3,7,1,2,6,4]
[6,1,7,5,3,4,2]=>[5,3,7,4,6,1,2]
[6,1,7,5,4,2,3]=>[5,4,7,1,2,6,3]
[6,1,7,5,4,3,2]=>[5,4,7,3,6,1,2]
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[6,2,1,3,4,7,5]=>[2,7,6,1,3,4,5]
[6,2,1,3,5,4,7]=>[2,5,6,1,3,4,7]
[6,2,1,3,5,7,4]=>[2,5,7,6,1,3,4]
[6,2,1,3,7,4,5]=>[2,7,1,3,4,6,5]
[6,2,1,3,7,5,4]=>[2,7,5,6,1,3,4]
[6,2,1,4,3,5,7]=>[2,4,6,1,3,5,7]
[6,2,1,4,3,7,5]=>[2,4,7,6,1,3,5]
[6,2,1,4,5,3,7]=>[2,4,5,6,1,3,7]
[6,2,1,4,5,7,3]=>[2,4,5,7,6,1,3]
[6,2,1,4,7,3,5]=>[2,4,7,1,3,6,5]
[6,2,1,4,7,5,3]=>[2,4,7,5,6,1,3]
[6,2,1,5,3,4,7]=>[2,5,1,3,6,4,7]
[6,2,1,5,3,7,4]=>[2,5,1,3,7,6,4]
[6,2,1,5,4,3,7]=>[2,5,4,6,1,3,7]
[6,2,1,5,4,7,3]=>[2,5,4,7,6,1,3]
[6,2,1,5,7,3,4]=>[2,7,5,1,3,6,4]
[6,2,1,5,7,4,3]=>[2,7,5,4,6,1,3]
[6,2,1,7,3,4,5]=>[2,7,1,3,6,4,5]
[6,2,1,7,3,5,4]=>[2,7,1,3,5,6,4]
[6,2,1,7,4,3,5]=>[2,7,4,6,1,3,5]
[6,2,1,7,4,5,3]=>[2,7,4,5,6,1,3]
[6,2,1,7,5,3,4]=>[2,5,7,1,3,6,4]
[6,2,1,7,5,4,3]=>[2,5,7,4,6,1,3]
[6,2,3,1,4,5,7]=>[2,3,6,1,4,5,7]
[6,2,3,1,4,7,5]=>[2,3,7,6,1,4,5]
[6,2,3,1,5,4,7]=>[2,3,5,6,1,4,7]
[6,2,3,1,5,7,4]=>[2,3,5,7,6,1,4]
[6,2,3,1,7,4,5]=>[2,3,7,1,4,6,5]
[6,2,3,1,7,5,4]=>[2,3,7,5,6,1,4]
[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]
[6,2,3,4,1,7,5]=>[2,3,4,7,6,1,5]
[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]
[6,2,3,4,5,7,1]=>[2,3,4,5,7,6,1]
[6,2,3,4,7,1,5]=>[2,3,4,7,1,6,5]
[6,2,3,4,7,5,1]=>[2,3,4,7,5,6,1]
[6,2,3,5,1,4,7]=>[2,3,5,1,6,4,7]
[6,2,3,5,1,7,4]=>[2,3,5,1,7,6,4]
[6,2,3,5,4,1,7]=>[2,3,5,4,6,1,7]
[6,2,3,5,4,7,1]=>[2,3,5,4,7,6,1]
[6,2,3,5,7,1,4]=>[2,3,7,5,1,6,4]
[6,2,3,5,7,4,1]=>[2,3,7,5,4,6,1]
[6,2,3,7,1,4,5]=>[2,3,7,1,6,4,5]
[6,2,3,7,1,5,4]=>[2,3,7,1,5,6,4]
[6,2,3,7,4,1,5]=>[2,3,7,4,6,1,5]
[6,2,3,7,4,5,1]=>[2,3,7,4,5,6,1]
[6,2,3,7,5,1,4]=>[2,3,5,7,1,6,4]
[6,2,3,7,5,4,1]=>[2,3,5,7,4,6,1]
[6,2,4,1,3,5,7]=>[2,4,1,6,3,5,7]
[6,2,4,1,3,7,5]=>[2,4,1,7,6,3,5]
[6,2,4,1,5,3,7]=>[2,4,1,5,6,3,7]
[6,2,4,1,5,7,3]=>[2,4,1,5,7,6,3]
[6,2,4,1,7,3,5]=>[2,4,1,7,3,6,5]
[6,2,4,1,7,5,3]=>[2,4,1,7,5,6,3]
[6,2,4,3,1,5,7]=>[2,4,3,6,1,5,7]
[6,2,4,3,1,7,5]=>[2,4,3,7,6,1,5]
[6,2,4,3,5,1,7]=>[2,4,3,5,6,1,7]
[6,2,4,3,5,7,1]=>[2,4,3,5,7,6,1]
[6,2,4,3,7,1,5]=>[2,4,3,7,1,6,5]
[6,2,4,3,7,5,1]=>[2,4,3,7,5,6,1]
[6,2,4,5,1,3,7]=>[2,5,4,1,6,3,7]
[6,2,4,5,1,7,3]=>[2,5,4,1,7,6,3]
[6,2,4,5,3,1,7]=>[2,5,4,3,6,1,7]
[6,2,4,5,3,7,1]=>[2,5,4,3,7,6,1]
[6,2,4,5,7,1,3]=>[2,7,5,4,1,6,3]
[6,2,4,5,7,3,1]=>[2,7,5,4,3,6,1]
[6,2,4,7,1,3,5]=>[2,7,4,1,6,3,5]
[6,2,4,7,1,5,3]=>[2,7,4,1,5,6,3]
[6,2,4,7,3,1,5]=>[2,7,4,3,6,1,5]
[6,2,4,7,3,5,1]=>[2,7,4,3,5,6,1]
[6,2,4,7,5,1,3]=>[2,5,7,4,1,6,3]
[6,2,4,7,5,3,1]=>[2,5,7,4,3,6,1]
[6,2,5,1,3,4,7]=>[2,5,1,6,3,4,7]
[6,2,5,1,3,7,4]=>[2,5,1,7,6,3,4]
[6,2,5,1,4,3,7]=>[2,5,1,4,6,3,7]
[6,2,5,1,4,7,3]=>[2,5,1,4,7,6,3]
[6,2,5,1,7,3,4]=>[2,7,5,1,6,3,4]
[6,2,5,1,7,4,3]=>[2,7,5,1,4,6,3]
[6,2,5,3,1,4,7]=>[2,5,3,6,1,4,7]
[6,2,5,3,1,7,4]=>[2,5,3,7,6,1,4]
[6,2,5,3,4,1,7]=>[2,5,3,4,6,1,7]
[6,2,5,3,4,7,1]=>[2,5,3,4,7,6,1]
[6,2,5,3,7,1,4]=>[2,7,5,3,6,1,4]
[6,2,5,3,7,4,1]=>[2,7,5,3,4,6,1]
[6,2,5,4,1,3,7]=>[2,4,5,1,6,3,7]
[6,2,5,4,1,7,3]=>[2,4,5,1,7,6,3]
[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]
[6,2,5,4,3,7,1]=>[2,4,5,3,7,6,1]
[6,2,5,4,7,1,3]=>[2,4,7,5,1,6,3]
[6,2,5,4,7,3,1]=>[2,4,7,5,3,6,1]
[6,2,5,7,1,3,4]=>[2,7,1,5,3,6,4]
[6,2,5,7,1,4,3]=>[2,7,1,5,4,6,3]
[6,2,5,7,3,1,4]=>[2,7,3,5,1,6,4]
[6,2,5,7,3,4,1]=>[2,7,3,5,4,6,1]
[6,2,5,7,4,1,3]=>[2,7,4,5,1,6,3]
[6,2,5,7,4,3,1]=>[2,7,4,5,3,6,1]
[6,2,7,1,3,4,5]=>[2,7,1,6,3,4,5]
[6,2,7,1,3,5,4]=>[2,7,1,5,6,3,4]
[6,2,7,1,4,3,5]=>[2,7,1,4,6,3,5]
[6,2,7,1,4,5,3]=>[2,7,1,4,5,6,3]
[6,2,7,1,5,3,4]=>[2,5,7,1,6,3,4]
[6,2,7,1,5,4,3]=>[2,5,7,1,4,6,3]
[6,2,7,3,1,4,5]=>[2,7,3,6,1,4,5]
[6,2,7,3,1,5,4]=>[2,7,3,5,6,1,4]
[6,2,7,3,4,1,5]=>[2,7,3,4,6,1,5]
[6,2,7,3,4,5,1]=>[2,7,3,4,5,6,1]
[6,2,7,3,5,1,4]=>[2,5,7,3,6,1,4]
[6,2,7,3,5,4,1]=>[2,5,7,3,4,6,1]
[6,2,7,4,1,3,5]=>[2,4,7,1,6,3,5]
[6,2,7,4,1,5,3]=>[2,4,7,1,5,6,3]
[6,2,7,4,3,1,5]=>[2,4,7,3,6,1,5]
[6,2,7,4,3,5,1]=>[2,4,7,3,5,6,1]
[6,2,7,4,5,1,3]=>[2,4,5,7,1,6,3]
[6,2,7,4,5,3,1]=>[2,4,5,7,3,6,1]
[6,2,7,5,1,3,4]=>[2,5,1,7,3,6,4]
[6,2,7,5,1,4,3]=>[2,5,1,7,4,6,3]
[6,2,7,5,3,1,4]=>[2,5,3,7,1,6,4]
[6,2,7,5,3,4,1]=>[2,5,3,7,4,6,1]
[6,2,7,5,4,1,3]=>[2,5,4,7,1,6,3]
[6,2,7,5,4,3,1]=>[2,5,4,7,3,6,1]
[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[6,3,1,2,4,7,5]=>[3,1,7,6,2,4,5]
[6,3,1,2,5,4,7]=>[3,1,5,6,2,4,7]
[6,3,1,2,5,7,4]=>[3,1,5,7,6,2,4]
[6,3,1,2,7,4,5]=>[3,1,7,2,4,6,5]
[6,3,1,2,7,5,4]=>[3,1,7,5,6,2,4]
[6,3,1,4,2,5,7]=>[3,1,4,6,2,5,7]
[6,3,1,4,2,7,5]=>[3,1,4,7,6,2,5]
[6,3,1,4,5,2,7]=>[3,1,4,5,6,2,7]
[6,3,1,4,5,7,2]=>[3,1,4,5,7,6,2]
[6,3,1,4,7,2,5]=>[3,1,4,7,2,6,5]
[6,3,1,4,7,5,2]=>[3,1,4,7,5,6,2]
[6,3,1,5,2,4,7]=>[3,1,5,2,6,4,7]
[6,3,1,5,2,7,4]=>[3,1,5,2,7,6,4]
[6,3,1,5,4,2,7]=>[3,1,5,4,6,2,7]
[6,3,1,5,4,7,2]=>[3,1,5,4,7,6,2]
[6,3,1,5,7,2,4]=>[3,1,7,5,2,6,4]
[6,3,1,5,7,4,2]=>[3,1,7,5,4,6,2]
[6,3,1,7,2,4,5]=>[3,1,7,2,6,4,5]
[6,3,1,7,2,5,4]=>[3,1,7,2,5,6,4]
[6,3,1,7,4,2,5]=>[3,1,7,4,6,2,5]
[6,3,1,7,4,5,2]=>[3,1,7,4,5,6,2]
[6,3,1,7,5,2,4]=>[3,1,5,7,2,6,4]
[6,3,1,7,5,4,2]=>[3,1,5,7,4,6,2]
[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]
[6,3,2,1,4,7,5]=>[3,2,7,6,1,4,5]
[6,3,2,1,5,4,7]=>[3,2,5,6,1,4,7]
[6,3,2,1,5,7,4]=>[3,2,5,7,6,1,4]
[6,3,2,1,7,4,5]=>[3,2,7,1,4,6,5]
[6,3,2,1,7,5,4]=>[3,2,7,5,6,1,4]
[6,3,2,4,1,5,7]=>[3,2,4,6,1,5,7]
[6,3,2,4,1,7,5]=>[3,2,4,7,6,1,5]
[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]
[6,3,2,4,5,7,1]=>[3,2,4,5,7,6,1]
[6,3,2,4,7,1,5]=>[3,2,4,7,1,6,5]
[6,3,2,4,7,5,1]=>[3,2,4,7,5,6,1]
[6,3,2,5,1,4,7]=>[3,2,5,1,6,4,7]
[6,3,2,5,1,7,4]=>[3,2,5,1,7,6,4]
[6,3,2,5,4,1,7]=>[3,2,5,4,6,1,7]
[6,3,2,5,4,7,1]=>[3,2,5,4,7,6,1]
[6,3,2,5,7,1,4]=>[3,2,7,5,1,6,4]
[6,3,2,5,7,4,1]=>[3,2,7,5,4,6,1]
[6,3,2,7,1,4,5]=>[3,2,7,1,6,4,5]
[6,3,2,7,1,5,4]=>[3,2,7,1,5,6,4]
[6,3,2,7,4,1,5]=>[3,2,7,4,6,1,5]
[6,3,2,7,4,5,1]=>[3,2,7,4,5,6,1]
[6,3,2,7,5,1,4]=>[3,2,5,7,1,6,4]
[6,3,2,7,5,4,1]=>[3,2,5,7,4,6,1]
[6,3,4,1,2,5,7]=>[4,3,1,6,2,5,7]
[6,3,4,1,2,7,5]=>[4,3,1,7,6,2,5]
[6,3,4,1,5,2,7]=>[4,3,1,5,6,2,7]
[6,3,4,1,5,7,2]=>[4,3,1,5,7,6,2]
[6,3,4,1,7,2,5]=>[4,3,1,7,2,6,5]
[6,3,4,1,7,5,2]=>[4,3,1,7,5,6,2]
[6,3,4,2,1,5,7]=>[4,3,2,6,1,5,7]
[6,3,4,2,1,7,5]=>[4,3,2,7,6,1,5]
[6,3,4,2,5,1,7]=>[4,3,2,5,6,1,7]
[6,3,4,2,5,7,1]=>[4,3,2,5,7,6,1]
[6,3,4,2,7,1,5]=>[4,3,2,7,1,6,5]
[6,3,4,2,7,5,1]=>[4,3,2,7,5,6,1]
[6,3,4,5,1,2,7]=>[5,4,3,1,6,2,7]
[6,3,4,5,1,7,2]=>[5,4,3,1,7,6,2]
[6,3,4,5,2,1,7]=>[5,4,3,2,6,1,7]
[6,3,4,5,2,7,1]=>[5,4,3,2,7,6,1]
[6,3,4,5,7,1,2]=>[7,5,4,3,1,6,2]
[6,3,4,5,7,2,1]=>[7,5,4,3,2,6,1]
[6,3,4,7,1,2,5]=>[7,4,3,1,6,2,5]
[6,3,4,7,1,5,2]=>[7,4,3,1,5,6,2]
[6,3,4,7,2,1,5]=>[7,4,3,2,6,1,5]
[6,3,4,7,2,5,1]=>[7,4,3,2,5,6,1]
[6,3,4,7,5,1,2]=>[5,7,4,3,1,6,2]
[6,3,4,7,5,2,1]=>[5,7,4,3,2,6,1]
[6,3,5,1,2,4,7]=>[5,3,1,6,2,4,7]
[6,3,5,1,2,7,4]=>[5,3,1,7,6,2,4]
[6,3,5,1,4,2,7]=>[5,3,1,4,6,2,7]
[6,3,5,1,4,7,2]=>[5,3,1,4,7,6,2]
[6,3,5,1,7,2,4]=>[7,5,3,1,6,2,4]
[6,3,5,1,7,4,2]=>[7,5,3,1,4,6,2]
[6,3,5,2,1,4,7]=>[5,3,2,6,1,4,7]
[6,3,5,2,1,7,4]=>[5,3,2,7,6,1,4]
[6,3,5,2,4,1,7]=>[5,3,2,4,6,1,7]
[6,3,5,2,4,7,1]=>[5,3,2,4,7,6,1]
[6,3,5,2,7,1,4]=>[7,5,3,2,6,1,4]
[6,3,5,2,7,4,1]=>[7,5,3,2,4,6,1]
[6,3,5,4,1,2,7]=>[4,5,3,1,6,2,7]
[6,3,5,4,1,7,2]=>[4,5,3,1,7,6,2]
[6,3,5,4,2,1,7]=>[4,5,3,2,6,1,7]
[6,3,5,4,2,7,1]=>[4,5,3,2,7,6,1]
[6,3,5,4,7,1,2]=>[4,7,5,3,1,6,2]
[6,3,5,4,7,2,1]=>[4,7,5,3,2,6,1]
[6,3,5,7,1,2,4]=>[7,3,1,5,2,6,4]
[6,3,5,7,1,4,2]=>[7,3,1,5,4,6,2]
[6,3,5,7,2,1,4]=>[7,3,2,5,1,6,4]
[6,3,5,7,2,4,1]=>[7,3,2,5,4,6,1]
[6,3,5,7,4,1,2]=>[7,4,5,3,1,6,2]
[6,3,5,7,4,2,1]=>[7,4,5,3,2,6,1]
[6,3,7,1,2,4,5]=>[7,3,1,6,2,4,5]
[6,3,7,1,2,5,4]=>[7,3,1,5,6,2,4]
[6,3,7,1,4,2,5]=>[7,3,1,4,6,2,5]
[6,3,7,1,4,5,2]=>[7,3,1,4,5,6,2]
[6,3,7,1,5,2,4]=>[5,7,3,1,6,2,4]
[6,3,7,1,5,4,2]=>[5,7,3,1,4,6,2]
[6,3,7,2,1,4,5]=>[7,3,2,6,1,4,5]
[6,3,7,2,1,5,4]=>[7,3,2,5,6,1,4]
[6,3,7,2,4,1,5]=>[7,3,2,4,6,1,5]
[6,3,7,2,4,5,1]=>[7,3,2,4,5,6,1]
[6,3,7,2,5,1,4]=>[5,7,3,2,6,1,4]
[6,3,7,2,5,4,1]=>[5,7,3,2,4,6,1]
[6,3,7,4,1,2,5]=>[4,7,3,1,6,2,5]
[6,3,7,4,1,5,2]=>[4,7,3,1,5,6,2]
[6,3,7,4,2,1,5]=>[4,7,3,2,6,1,5]
[6,3,7,4,2,5,1]=>[4,7,3,2,5,6,1]
[6,3,7,4,5,1,2]=>[4,5,7,3,1,6,2]
[6,3,7,4,5,2,1]=>[4,5,7,3,2,6,1]
[6,3,7,5,1,2,4]=>[5,3,1,7,2,6,4]
[6,3,7,5,1,4,2]=>[5,3,1,7,4,6,2]
[6,3,7,5,2,1,4]=>[5,3,2,7,1,6,4]
[6,3,7,5,2,4,1]=>[5,3,2,7,4,6,1]
[6,3,7,5,4,1,2]=>[5,4,7,3,1,6,2]
[6,3,7,5,4,2,1]=>[5,4,7,3,2,6,1]
[6,4,1,2,3,5,7]=>[4,1,6,2,3,5,7]
[6,4,1,2,3,7,5]=>[4,1,7,6,2,3,5]
[6,4,1,2,5,3,7]=>[4,1,5,6,2,3,7]
[6,4,1,2,5,7,3]=>[4,1,5,7,6,2,3]
[6,4,1,2,7,3,5]=>[4,1,7,2,3,6,5]
[6,4,1,2,7,5,3]=>[4,1,7,5,6,2,3]
[6,4,1,3,2,5,7]=>[4,1,3,6,2,5,7]
[6,4,1,3,2,7,5]=>[4,1,3,7,6,2,5]
[6,4,1,3,5,2,7]=>[4,1,3,5,6,2,7]
[6,4,1,3,5,7,2]=>[4,1,3,5,7,6,2]
[6,4,1,3,7,2,5]=>[4,1,3,7,2,6,5]
[6,4,1,3,7,5,2]=>[4,1,3,7,5,6,2]
[6,4,1,5,2,3,7]=>[5,4,1,6,2,3,7]
[6,4,1,5,2,7,3]=>[5,4,1,7,6,2,3]
[6,4,1,5,3,2,7]=>[5,4,1,3,6,2,7]
[6,4,1,5,3,7,2]=>[5,4,1,3,7,6,2]
[6,4,1,5,7,2,3]=>[7,5,4,1,6,2,3]
[6,4,1,5,7,3,2]=>[7,5,4,1,3,6,2]
[6,4,1,7,2,3,5]=>[7,4,1,6,2,3,5]
[6,4,1,7,2,5,3]=>[7,4,1,5,6,2,3]
[6,4,1,7,3,2,5]=>[7,4,1,3,6,2,5]
[6,4,1,7,3,5,2]=>[7,4,1,3,5,6,2]
[6,4,1,7,5,2,3]=>[5,7,4,1,6,2,3]
[6,4,1,7,5,3,2]=>[5,7,4,1,3,6,2]
[6,4,2,1,3,5,7]=>[4,2,6,1,3,5,7]
[6,4,2,1,3,7,5]=>[4,2,7,6,1,3,5]
[6,4,2,1,5,3,7]=>[4,2,5,6,1,3,7]
[6,4,2,1,5,7,3]=>[4,2,5,7,6,1,3]
[6,4,2,1,7,3,5]=>[4,2,7,1,3,6,5]
[6,4,2,1,7,5,3]=>[4,2,7,5,6,1,3]
[6,4,2,3,1,5,7]=>[4,2,3,6,1,5,7]
[6,4,2,3,1,7,5]=>[4,2,3,7,6,1,5]
[6,4,2,3,5,1,7]=>[4,2,3,5,6,1,7]
[6,4,2,3,5,7,1]=>[4,2,3,5,7,6,1]
[6,4,2,3,7,1,5]=>[4,2,3,7,1,6,5]
[6,4,2,3,7,5,1]=>[4,2,3,7,5,6,1]
[6,4,2,5,1,3,7]=>[5,4,2,6,1,3,7]
[6,4,2,5,1,7,3]=>[5,4,2,7,6,1,3]
[6,4,2,5,3,1,7]=>[5,4,2,3,6,1,7]
[6,4,2,5,3,7,1]=>[5,4,2,3,7,6,1]
[6,4,2,5,7,1,3]=>[7,5,4,2,6,1,3]
[6,4,2,5,7,3,1]=>[7,5,4,2,3,6,1]
[6,4,2,7,1,3,5]=>[7,4,2,6,1,3,5]
[6,4,2,7,1,5,3]=>[7,4,2,5,6,1,3]
[6,4,2,7,3,1,5]=>[7,4,2,3,6,1,5]
[6,4,2,7,3,5,1]=>[7,4,2,3,5,6,1]
[6,4,2,7,5,1,3]=>[5,7,4,2,6,1,3]
[6,4,2,7,5,3,1]=>[5,7,4,2,3,6,1]
[6,4,3,1,2,5,7]=>[3,4,1,6,2,5,7]
[6,4,3,1,2,7,5]=>[3,4,1,7,6,2,5]
[6,4,3,1,5,2,7]=>[3,4,1,5,6,2,7]
[6,4,3,1,5,7,2]=>[3,4,1,5,7,6,2]
[6,4,3,1,7,2,5]=>[3,4,1,7,2,6,5]
[6,4,3,1,7,5,2]=>[3,4,1,7,5,6,2]
[6,4,3,2,1,5,7]=>[3,4,2,6,1,5,7]
[6,4,3,2,1,7,5]=>[3,4,2,7,6,1,5]
[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]
[6,4,3,2,5,7,1]=>[3,4,2,5,7,6,1]
[6,4,3,2,7,1,5]=>[3,4,2,7,1,6,5]
[6,4,3,2,7,5,1]=>[3,4,2,7,5,6,1]
[6,4,3,5,1,2,7]=>[3,5,4,1,6,2,7]
[6,4,3,5,1,7,2]=>[3,5,4,1,7,6,2]
[6,4,3,5,2,1,7]=>[3,5,4,2,6,1,7]
[6,4,3,5,2,7,1]=>[3,5,4,2,7,6,1]
[6,4,3,5,7,1,2]=>[3,7,5,4,1,6,2]
[6,4,3,5,7,2,1]=>[3,7,5,4,2,6,1]
[6,4,3,7,1,2,5]=>[3,7,4,1,6,2,5]
[6,4,3,7,1,5,2]=>[3,7,4,1,5,6,2]
[6,4,3,7,2,1,5]=>[3,7,4,2,6,1,5]
[6,4,3,7,2,5,1]=>[3,7,4,2,5,6,1]
[6,4,3,7,5,1,2]=>[3,5,7,4,1,6,2]
[6,4,3,7,5,2,1]=>[3,5,7,4,2,6,1]
[6,4,5,1,2,3,7]=>[5,1,4,2,6,3,7]
[6,4,5,1,2,7,3]=>[5,1,4,2,7,6,3]
[6,4,5,1,3,2,7]=>[5,1,4,3,6,2,7]
[6,4,5,1,3,7,2]=>[5,1,4,3,7,6,2]
[6,4,5,1,7,2,3]=>[7,5,1,4,2,6,3]
[6,4,5,1,7,3,2]=>[7,5,1,4,3,6,2]
[6,4,5,2,1,3,7]=>[5,2,4,1,6,3,7]
[6,4,5,2,1,7,3]=>[5,2,4,1,7,6,3]
[6,4,5,2,3,1,7]=>[5,2,4,3,6,1,7]
[6,4,5,2,3,7,1]=>[5,2,4,3,7,6,1]
[6,4,5,2,7,1,3]=>[7,5,2,4,1,6,3]
[6,4,5,2,7,3,1]=>[7,5,2,4,3,6,1]
[6,4,5,3,1,2,7]=>[5,3,4,1,6,2,7]
[6,4,5,3,1,7,2]=>[5,3,4,1,7,6,2]
[6,4,5,3,2,1,7]=>[5,3,4,2,6,1,7]
[6,4,5,3,2,7,1]=>[5,3,4,2,7,6,1]
[6,4,5,3,7,1,2]=>[7,5,3,4,1,6,2]
[6,4,5,3,7,2,1]=>[7,5,3,4,2,6,1]
[6,4,5,7,1,2,3]=>[7,1,5,4,2,6,3]
[6,4,5,7,1,3,2]=>[7,1,5,4,3,6,2]
[6,4,5,7,2,1,3]=>[7,2,5,4,1,6,3]
[6,4,5,7,2,3,1]=>[7,2,5,4,3,6,1]
[6,4,5,7,3,1,2]=>[7,3,5,4,1,6,2]
[6,4,5,7,3,2,1]=>[7,3,5,4,2,6,1]
[6,4,7,1,2,3,5]=>[7,1,4,2,6,3,5]
[6,4,7,1,2,5,3]=>[7,1,4,2,5,6,3]
[6,4,7,1,3,2,5]=>[7,1,4,3,6,2,5]
[6,4,7,1,3,5,2]=>[7,1,4,3,5,6,2]
[6,4,7,1,5,2,3]=>[5,7,1,4,2,6,3]
[6,4,7,1,5,3,2]=>[5,7,1,4,3,6,2]
[6,4,7,2,1,3,5]=>[7,2,4,1,6,3,5]
[6,4,7,2,1,5,3]=>[7,2,4,1,5,6,3]
[6,4,7,2,3,1,5]=>[7,2,4,3,6,1,5]
[6,4,7,2,3,5,1]=>[7,2,4,3,5,6,1]
[6,4,7,2,5,1,3]=>[5,7,2,4,1,6,3]
[6,4,7,2,5,3,1]=>[5,7,2,4,3,6,1]
[6,4,7,3,1,2,5]=>[7,3,4,1,6,2,5]
[6,4,7,3,1,5,2]=>[7,3,4,1,5,6,2]
[6,4,7,3,2,1,5]=>[7,3,4,2,6,1,5]
[6,4,7,3,2,5,1]=>[7,3,4,2,5,6,1]
[6,4,7,3,5,1,2]=>[5,7,3,4,1,6,2]
[6,4,7,3,5,2,1]=>[5,7,3,4,2,6,1]
[6,4,7,5,1,2,3]=>[5,1,7,4,2,6,3]
[6,4,7,5,1,3,2]=>[5,1,7,4,3,6,2]
[6,4,7,5,2,1,3]=>[5,2,7,4,1,6,3]
[6,4,7,5,2,3,1]=>[5,2,7,4,3,6,1]
[6,4,7,5,3,1,2]=>[5,3,7,4,1,6,2]
[6,4,7,5,3,2,1]=>[5,3,7,4,2,6,1]
[6,5,1,2,3,4,7]=>[5,1,6,2,3,4,7]
[6,5,1,2,3,7,4]=>[5,1,7,6,2,3,4]
[6,5,1,2,4,3,7]=>[5,1,4,6,2,3,7]
[6,5,1,2,4,7,3]=>[5,1,4,7,6,2,3]
[6,5,1,2,7,3,4]=>[7,5,1,6,2,3,4]
[6,5,1,2,7,4,3]=>[7,5,1,4,6,2,3]
[6,5,1,3,2,4,7]=>[5,1,3,6,2,4,7]
[6,5,1,3,2,7,4]=>[5,1,3,7,6,2,4]
[6,5,1,3,4,2,7]=>[5,1,3,4,6,2,7]
[6,5,1,3,4,7,2]=>[5,1,3,4,7,6,2]
[6,5,1,3,7,2,4]=>[7,5,1,3,6,2,4]
[6,5,1,3,7,4,2]=>[7,5,1,3,4,6,2]
[6,5,1,4,2,3,7]=>[4,5,1,6,2,3,7]
[6,5,1,4,2,7,3]=>[4,5,1,7,6,2,3]
[6,5,1,4,3,2,7]=>[4,5,1,3,6,2,7]
[6,5,1,4,3,7,2]=>[4,5,1,3,7,6,2]
[6,5,1,4,7,2,3]=>[4,7,5,1,6,2,3]
[6,5,1,4,7,3,2]=>[4,7,5,1,3,6,2]
[6,5,1,7,2,3,4]=>[7,1,5,2,3,6,4]
[6,5,1,7,2,4,3]=>[7,1,5,4,6,2,3]
[6,5,1,7,3,2,4]=>[7,1,3,5,2,6,4]
[6,5,1,7,3,4,2]=>[7,1,3,5,4,6,2]
[6,5,1,7,4,2,3]=>[7,4,5,1,6,2,3]
[6,5,1,7,4,3,2]=>[7,4,5,1,3,6,2]
[6,5,2,1,3,4,7]=>[5,2,6,1,3,4,7]
[6,5,2,1,3,7,4]=>[5,2,7,6,1,3,4]
[6,5,2,1,4,3,7]=>[5,2,4,6,1,3,7]
[6,5,2,1,4,7,3]=>[5,2,4,7,6,1,3]
[6,5,2,1,7,3,4]=>[7,5,2,6,1,3,4]
[6,5,2,1,7,4,3]=>[7,5,2,4,6,1,3]
[6,5,2,3,1,4,7]=>[5,2,3,6,1,4,7]
[6,5,2,3,1,7,4]=>[5,2,3,7,6,1,4]
[6,5,2,3,4,1,7]=>[5,2,3,4,6,1,7]
[6,5,2,3,4,7,1]=>[5,2,3,4,7,6,1]
[6,5,2,3,7,1,4]=>[7,5,2,3,6,1,4]
[6,5,2,3,7,4,1]=>[7,5,2,3,4,6,1]
[6,5,2,4,1,3,7]=>[4,5,2,6,1,3,7]
[6,5,2,4,1,7,3]=>[4,5,2,7,6,1,3]
[6,5,2,4,3,1,7]=>[4,5,2,3,6,1,7]
[6,5,2,4,3,7,1]=>[4,5,2,3,7,6,1]
[6,5,2,4,7,1,3]=>[4,7,5,2,6,1,3]
[6,5,2,4,7,3,1]=>[4,7,5,2,3,6,1]
[6,5,2,7,1,3,4]=>[7,2,5,1,3,6,4]
[6,5,2,7,1,4,3]=>[7,2,5,4,6,1,3]
[6,5,2,7,3,1,4]=>[7,2,3,5,1,6,4]
[6,5,2,7,3,4,1]=>[7,2,3,5,4,6,1]
[6,5,2,7,4,1,3]=>[7,4,5,2,6,1,3]
[6,5,2,7,4,3,1]=>[7,4,5,2,3,6,1]
[6,5,3,1,2,4,7]=>[3,5,1,6,2,4,7]
[6,5,3,1,2,7,4]=>[3,5,1,7,6,2,4]
[6,5,3,1,4,2,7]=>[3,5,1,4,6,2,7]
[6,5,3,1,4,7,2]=>[3,5,1,4,7,6,2]
[6,5,3,1,7,2,4]=>[3,7,5,1,6,2,4]
[6,5,3,1,7,4,2]=>[3,7,5,1,4,6,2]
[6,5,3,2,1,4,7]=>[3,5,2,6,1,4,7]
[6,5,3,2,1,7,4]=>[3,5,2,7,6,1,4]
[6,5,3,2,4,1,7]=>[3,5,2,4,6,1,7]
[6,5,3,2,4,7,1]=>[3,5,2,4,7,6,1]
[6,5,3,2,7,1,4]=>[3,7,5,2,6,1,4]
[6,5,3,2,7,4,1]=>[3,7,5,2,4,6,1]
[6,5,3,4,1,2,7]=>[3,4,5,1,6,2,7]
[6,5,3,4,1,7,2]=>[3,4,5,1,7,6,2]
[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]
[6,5,3,4,2,7,1]=>[3,4,5,2,7,6,1]
[6,5,3,4,7,1,2]=>[3,4,7,5,1,6,2]
[6,5,3,4,7,2,1]=>[3,4,7,5,2,6,1]
[6,5,3,7,1,2,4]=>[3,7,1,5,2,6,4]
[6,5,3,7,1,4,2]=>[3,7,1,5,4,6,2]
[6,5,3,7,2,1,4]=>[3,7,2,5,1,6,4]
[6,5,3,7,2,4,1]=>[3,7,2,5,4,6,1]
[6,5,3,7,4,1,2]=>[3,7,4,5,1,6,2]
[6,5,3,7,4,2,1]=>[3,7,4,5,2,6,1]
[6,5,4,1,2,3,7]=>[4,1,5,2,6,3,7]
[6,5,4,1,2,7,3]=>[4,1,5,2,7,6,3]
[6,5,4,1,3,2,7]=>[4,1,5,3,6,2,7]
[6,5,4,1,3,7,2]=>[4,1,5,3,7,6,2]
[6,5,4,1,7,2,3]=>[4,1,7,5,2,6,3]
[6,5,4,1,7,3,2]=>[4,1,7,5,3,6,2]
[6,5,4,2,1,3,7]=>[4,2,5,1,6,3,7]
[6,5,4,2,1,7,3]=>[4,2,5,1,7,6,3]
[6,5,4,2,3,1,7]=>[4,2,5,3,6,1,7]
[6,5,4,2,3,7,1]=>[4,2,5,3,7,6,1]
[6,5,4,2,7,1,3]=>[4,2,7,5,1,6,3]
[6,5,4,2,7,3,1]=>[4,2,7,5,3,6,1]
[6,5,4,3,1,2,7]=>[4,3,5,1,6,2,7]
[6,5,4,3,1,7,2]=>[4,3,5,1,7,6,2]
[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]
[6,5,4,3,2,7,1]=>[4,3,5,2,7,6,1]
[6,5,4,3,7,1,2]=>[4,3,7,5,1,6,2]
[6,5,4,3,7,2,1]=>[4,3,7,5,2,6,1]
[6,5,4,7,1,2,3]=>[7,4,1,5,2,6,3]
[6,5,4,7,1,3,2]=>[7,4,1,5,3,6,2]
[6,5,4,7,2,1,3]=>[7,4,2,5,1,6,3]
[6,5,4,7,2,3,1]=>[7,4,2,5,3,6,1]
[6,5,4,7,3,1,2]=>[7,4,3,5,1,6,2]
[6,5,4,7,3,2,1]=>[7,4,3,5,2,6,1]
[6,5,7,1,2,3,4]=>[7,1,5,2,6,3,4]
[6,5,7,1,2,4,3]=>[7,1,5,2,4,6,3]
[6,5,7,1,3,2,4]=>[7,1,5,3,6,2,4]
[6,5,7,1,3,4,2]=>[7,1,5,3,4,6,2]
[6,5,7,1,4,2,3]=>[7,1,4,5,2,6,3]
[6,5,7,1,4,3,2]=>[7,1,4,5,3,6,2]
[6,5,7,2,1,3,4]=>[7,2,5,1,6,3,4]
[6,5,7,2,1,4,3]=>[7,2,5,1,4,6,3]
[6,5,7,2,3,1,4]=>[7,2,5,3,6,1,4]
[6,5,7,2,3,4,1]=>[7,2,5,3,4,6,1]
[6,5,7,2,4,1,3]=>[7,2,4,5,1,6,3]
[6,5,7,2,4,3,1]=>[7,2,4,5,3,6,1]
[6,5,7,3,1,2,4]=>[7,3,5,1,6,2,4]
[6,5,7,3,1,4,2]=>[7,3,5,1,4,6,2]
[6,5,7,3,2,1,4]=>[7,3,5,2,6,1,4]
[6,5,7,3,2,4,1]=>[7,3,5,2,4,6,1]
[6,5,7,3,4,1,2]=>[7,3,4,5,1,6,2]
[6,5,7,3,4,2,1]=>[7,3,4,5,2,6,1]
[6,5,7,4,1,2,3]=>[4,7,1,5,2,6,3]
[6,5,7,4,1,3,2]=>[4,7,1,5,3,6,2]
[6,5,7,4,2,1,3]=>[4,7,2,5,1,6,3]
[6,5,7,4,2,3,1]=>[4,7,2,5,3,6,1]
[6,5,7,4,3,1,2]=>[4,7,3,5,1,6,2]
[6,5,7,4,3,2,1]=>[4,7,3,5,2,6,1]
[6,7,1,2,3,4,5]=>[7,1,6,2,3,4,5]
[6,7,1,2,3,5,4]=>[7,1,5,6,2,3,4]
[6,7,1,2,4,3,5]=>[7,1,4,6,2,3,5]
[6,7,1,2,4,5,3]=>[7,1,4,5,6,2,3]
[6,7,1,2,5,3,4]=>[5,7,1,6,2,3,4]
[6,7,1,2,5,4,3]=>[5,7,1,4,6,2,3]
[6,7,1,3,2,4,5]=>[7,1,3,6,2,4,5]
[6,7,1,3,2,5,4]=>[7,1,3,5,6,2,4]
[6,7,1,3,4,2,5]=>[7,1,3,4,6,2,5]
[6,7,1,3,4,5,2]=>[7,1,3,4,5,6,2]
[6,7,1,3,5,2,4]=>[5,7,1,3,6,2,4]
[6,7,1,3,5,4,2]=>[5,7,1,3,4,6,2]
[6,7,1,4,2,3,5]=>[4,7,1,6,2,3,5]
[6,7,1,4,2,5,3]=>[4,7,1,5,6,2,3]
[6,7,1,4,3,2,5]=>[4,7,1,3,6,2,5]
[6,7,1,4,3,5,2]=>[4,7,1,3,5,6,2]
[6,7,1,4,5,2,3]=>[4,5,7,1,6,2,3]
[6,7,1,4,5,3,2]=>[4,5,7,1,3,6,2]
[6,7,1,5,2,3,4]=>[5,1,7,2,3,6,4]
[6,7,1,5,2,4,3]=>[5,1,7,4,6,2,3]
[6,7,1,5,3,2,4]=>[5,1,3,7,2,6,4]
[6,7,1,5,3,4,2]=>[5,1,3,7,4,6,2]
[6,7,1,5,4,2,3]=>[5,4,7,1,6,2,3]
[6,7,1,5,4,3,2]=>[5,4,7,1,3,6,2]
[6,7,2,1,3,4,5]=>[7,2,6,1,3,4,5]
[6,7,2,1,3,5,4]=>[7,2,5,6,1,3,4]
[6,7,2,1,4,3,5]=>[7,2,4,6,1,3,5]
[6,7,2,1,4,5,3]=>[7,2,4,5,6,1,3]
[6,7,2,1,5,3,4]=>[5,7,2,6,1,3,4]
[6,7,2,1,5,4,3]=>[5,7,2,4,6,1,3]
[6,7,2,3,1,4,5]=>[7,2,3,6,1,4,5]
[6,7,2,3,1,5,4]=>[7,2,3,5,6,1,4]
[6,7,2,3,4,1,5]=>[7,2,3,4,6,1,5]
[6,7,2,3,4,5,1]=>[7,2,3,4,5,6,1]
[6,7,2,3,5,1,4]=>[5,7,2,3,6,1,4]
[6,7,2,3,5,4,1]=>[5,7,2,3,4,6,1]
[6,7,2,4,1,3,5]=>[4,7,2,6,1,3,5]
[6,7,2,4,1,5,3]=>[4,7,2,5,6,1,3]
[6,7,2,4,3,1,5]=>[4,7,2,3,6,1,5]
[6,7,2,4,3,5,1]=>[4,7,2,3,5,6,1]
[6,7,2,4,5,1,3]=>[4,5,7,2,6,1,3]
[6,7,2,4,5,3,1]=>[4,5,7,2,3,6,1]
[6,7,2,5,1,3,4]=>[5,2,7,1,3,6,4]
[6,7,2,5,1,4,3]=>[5,2,7,4,6,1,3]
[6,7,2,5,3,1,4]=>[5,2,3,7,1,6,4]
[6,7,2,5,3,4,1]=>[5,2,3,7,4,6,1]
[6,7,2,5,4,1,3]=>[5,4,7,2,6,1,3]
[6,7,2,5,4,3,1]=>[5,4,7,2,3,6,1]
[6,7,3,1,2,4,5]=>[3,7,1,6,2,4,5]
[6,7,3,1,2,5,4]=>[3,7,1,5,6,2,4]
[6,7,3,1,4,2,5]=>[3,7,1,4,6,2,5]
[6,7,3,1,4,5,2]=>[3,7,1,4,5,6,2]
[6,7,3,1,5,2,4]=>[3,5,7,1,6,2,4]
[6,7,3,1,5,4,2]=>[3,5,7,1,4,6,2]
[6,7,3,2,1,4,5]=>[3,7,2,6,1,4,5]
[6,7,3,2,1,5,4]=>[3,7,2,5,6,1,4]
[6,7,3,2,4,1,5]=>[3,7,2,4,6,1,5]
[6,7,3,2,4,5,1]=>[3,7,2,4,5,6,1]
[6,7,3,2,5,1,4]=>[3,5,7,2,6,1,4]
[6,7,3,2,5,4,1]=>[3,5,7,2,4,6,1]
[6,7,3,4,1,2,5]=>[3,4,7,1,6,2,5]
[6,7,3,4,1,5,2]=>[3,4,7,1,5,6,2]
[6,7,3,4,2,1,5]=>[3,4,7,2,6,1,5]
[6,7,3,4,2,5,1]=>[3,4,7,2,5,6,1]
[6,7,3,4,5,1,2]=>[3,4,5,7,1,6,2]
[6,7,3,4,5,2,1]=>[3,4,5,7,2,6,1]
[6,7,3,5,1,2,4]=>[3,5,1,7,2,6,4]
[6,7,3,5,1,4,2]=>[3,5,1,7,4,6,2]
[6,7,3,5,2,1,4]=>[3,5,2,7,1,6,4]
[6,7,3,5,2,4,1]=>[3,5,2,7,4,6,1]
[6,7,3,5,4,1,2]=>[3,5,4,7,1,6,2]
[6,7,3,5,4,2,1]=>[3,5,4,7,2,6,1]
[6,7,4,1,2,3,5]=>[4,1,7,2,6,3,5]
[6,7,4,1,2,5,3]=>[4,1,7,2,5,6,3]
[6,7,4,1,3,2,5]=>[4,1,7,3,6,2,5]
[6,7,4,1,3,5,2]=>[4,1,7,3,5,6,2]
[6,7,4,1,5,2,3]=>[4,1,5,7,2,6,3]
[6,7,4,1,5,3,2]=>[4,1,5,7,3,6,2]
[6,7,4,2,1,3,5]=>[4,2,7,1,6,3,5]
[6,7,4,2,1,5,3]=>[4,2,7,1,5,6,3]
[6,7,4,2,3,1,5]=>[4,2,7,3,6,1,5]
[6,7,4,2,3,5,1]=>[4,2,7,3,5,6,1]
[6,7,4,2,5,1,3]=>[4,2,5,7,1,6,3]
[6,7,4,2,5,3,1]=>[4,2,5,7,3,6,1]
[6,7,4,3,1,2,5]=>[4,3,7,1,6,2,5]
[6,7,4,3,1,5,2]=>[4,3,7,1,5,6,2]
[6,7,4,3,2,1,5]=>[4,3,7,2,6,1,5]
[6,7,4,3,2,5,1]=>[4,3,7,2,5,6,1]
[6,7,4,3,5,1,2]=>[4,3,5,7,1,6,2]
[6,7,4,3,5,2,1]=>[4,3,5,7,2,6,1]
[6,7,4,5,1,2,3]=>[5,4,1,7,2,6,3]
[6,7,4,5,1,3,2]=>[5,4,1,7,3,6,2]
[6,7,4,5,2,1,3]=>[5,4,2,7,1,6,3]
[6,7,4,5,2,3,1]=>[5,4,2,7,3,6,1]
[6,7,4,5,3,1,2]=>[5,4,3,7,1,6,2]
[6,7,4,5,3,2,1]=>[5,4,3,7,2,6,1]
[6,7,5,1,2,3,4]=>[5,1,7,2,6,3,4]
[6,7,5,1,2,4,3]=>[5,1,7,2,4,6,3]
[6,7,5,1,3,2,4]=>[5,1,7,3,6,2,4]
[6,7,5,1,3,4,2]=>[5,1,7,3,4,6,2]
[6,7,5,1,4,2,3]=>[5,1,4,7,2,6,3]
[6,7,5,1,4,3,2]=>[5,1,4,7,3,6,2]
[6,7,5,2,1,3,4]=>[5,2,7,1,6,3,4]
[6,7,5,2,1,4,3]=>[5,2,7,1,4,6,3]
[6,7,5,2,3,1,4]=>[5,2,7,3,6,1,4]
[6,7,5,2,3,4,1]=>[5,2,7,3,4,6,1]
[6,7,5,2,4,1,3]=>[5,2,4,7,1,6,3]
[6,7,5,2,4,3,1]=>[5,2,4,7,3,6,1]
[6,7,5,3,1,2,4]=>[5,3,7,1,6,2,4]
[6,7,5,3,1,4,2]=>[5,3,7,1,4,6,2]
[6,7,5,3,2,1,4]=>[5,3,7,2,6,1,4]
[6,7,5,3,2,4,1]=>[5,3,7,2,4,6,1]
[6,7,5,3,4,1,2]=>[5,3,4,7,1,6,2]
[6,7,5,3,4,2,1]=>[5,3,4,7,2,6,1]
[6,7,5,4,1,2,3]=>[4,5,1,7,2,6,3]
[6,7,5,4,1,3,2]=>[4,5,1,7,3,6,2]
[6,7,5,4,2,1,3]=>[4,5,2,7,1,6,3]
[6,7,5,4,2,3,1]=>[4,5,2,7,3,6,1]
[6,7,5,4,3,1,2]=>[4,5,3,7,1,6,2]
[6,7,5,4,3,2,1]=>[4,5,3,7,2,6,1]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[7,1,2,3,4,6,5]=>[6,7,1,2,3,4,5]
[7,1,2,3,5,4,6]=>[5,7,1,2,3,4,6]
[7,1,2,3,5,6,4]=>[5,6,7,1,2,3,4]
[7,1,2,3,6,4,5]=>[6,1,2,3,4,7,5]
[7,1,2,3,6,5,4]=>[6,5,7,1,2,3,4]
[7,1,2,4,3,5,6]=>[4,7,1,2,3,5,6]
[7,1,2,4,3,6,5]=>[4,6,7,1,2,3,5]
[7,1,2,4,5,3,6]=>[4,5,7,1,2,3,6]
[7,1,2,4,5,6,3]=>[4,5,6,7,1,2,3]
[7,1,2,4,6,3,5]=>[4,6,1,2,3,7,5]
[7,1,2,4,6,5,3]=>[4,6,5,7,1,2,3]
[7,1,2,5,3,4,6]=>[5,1,2,3,7,4,6]
[7,1,2,5,3,6,4]=>[5,1,2,3,6,7,4]
[7,1,2,5,4,3,6]=>[5,4,7,1,2,3,6]
[7,1,2,5,4,6,3]=>[5,4,6,7,1,2,3]
[7,1,2,5,6,3,4]=>[6,5,1,2,3,7,4]
[7,1,2,5,6,4,3]=>[6,5,4,7,1,2,3]
[7,1,2,6,3,4,5]=>[6,1,2,3,7,4,5]
[7,1,2,6,3,5,4]=>[6,1,2,3,5,7,4]
[7,1,2,6,4,3,5]=>[6,4,7,1,2,3,5]
[7,1,2,6,4,5,3]=>[6,4,5,7,1,2,3]
[7,1,2,6,5,3,4]=>[5,6,1,2,3,7,4]
[7,1,2,6,5,4,3]=>[5,6,4,7,1,2,3]
[7,1,3,2,4,5,6]=>[3,7,1,2,4,5,6]
[7,1,3,2,4,6,5]=>[3,6,7,1,2,4,5]
[7,1,3,2,5,4,6]=>[3,5,7,1,2,4,6]
[7,1,3,2,5,6,4]=>[3,5,6,7,1,2,4]
[7,1,3,2,6,4,5]=>[3,6,1,2,4,7,5]
[7,1,3,2,6,5,4]=>[3,6,5,7,1,2,4]
[7,1,3,4,2,5,6]=>[3,4,7,1,2,5,6]
[7,1,3,4,2,6,5]=>[3,4,6,7,1,2,5]
[7,1,3,4,5,2,6]=>[3,4,5,7,1,2,6]
[7,1,3,4,5,6,2]=>[3,4,5,6,7,1,2]
[7,1,3,4,6,2,5]=>[3,4,6,1,2,7,5]
[7,1,3,4,6,5,2]=>[3,4,6,5,7,1,2]
[7,1,3,5,2,4,6]=>[3,5,1,2,7,4,6]
[7,1,3,5,2,6,4]=>[3,5,1,2,6,7,4]
[7,1,3,5,4,2,6]=>[3,5,4,7,1,2,6]
[7,1,3,5,4,6,2]=>[3,5,4,6,7,1,2]
[7,1,3,5,6,2,4]=>[3,6,5,1,2,7,4]
[7,1,3,5,6,4,2]=>[3,6,5,4,7,1,2]
[7,1,3,6,2,4,5]=>[3,6,1,2,7,4,5]
[7,1,3,6,2,5,4]=>[3,6,1,2,5,7,4]
[7,1,3,6,4,2,5]=>[3,6,4,7,1,2,5]
[7,1,3,6,4,5,2]=>[3,6,4,5,7,1,2]
[7,1,3,6,5,2,4]=>[3,5,6,1,2,7,4]
[7,1,3,6,5,4,2]=>[3,5,6,4,7,1,2]
[7,1,4,2,3,5,6]=>[4,1,2,7,3,5,6]
[7,1,4,2,3,6,5]=>[4,1,2,6,7,3,5]
[7,1,4,2,5,3,6]=>[4,1,2,5,7,3,6]
[7,1,4,2,5,6,3]=>[4,1,2,5,6,7,3]
[7,1,4,2,6,3,5]=>[4,1,2,6,3,7,5]
[7,1,4,2,6,5,3]=>[4,1,2,6,5,7,3]
[7,1,4,3,2,5,6]=>[4,3,7,1,2,5,6]
[7,1,4,3,2,6,5]=>[4,3,6,7,1,2,5]
[7,1,4,3,5,2,6]=>[4,3,5,7,1,2,6]
[7,1,4,3,5,6,2]=>[4,3,5,6,7,1,2]
[7,1,4,3,6,2,5]=>[4,3,6,1,2,7,5]
[7,1,4,3,6,5,2]=>[4,3,6,5,7,1,2]
[7,1,4,5,2,3,6]=>[5,4,1,2,7,3,6]
[7,1,4,5,2,6,3]=>[5,4,1,2,6,7,3]
[7,1,4,5,3,2,6]=>[5,4,3,7,1,2,6]
[7,1,4,5,3,6,2]=>[5,4,3,6,7,1,2]
[7,1,4,5,6,2,3]=>[6,5,4,1,2,7,3]
[7,1,4,5,6,3,2]=>[6,5,4,3,7,1,2]
[7,1,4,6,2,3,5]=>[6,4,1,2,7,3,5]
[7,1,4,6,2,5,3]=>[6,4,1,2,5,7,3]
[7,1,4,6,3,2,5]=>[6,4,3,7,1,2,5]
[7,1,4,6,3,5,2]=>[6,4,3,5,7,1,2]
[7,1,4,6,5,2,3]=>[5,6,4,1,2,7,3]
[7,1,4,6,5,3,2]=>[5,6,4,3,7,1,2]
[7,1,5,2,3,4,6]=>[5,1,2,7,3,4,6]
[7,1,5,2,3,6,4]=>[5,1,2,6,7,3,4]
[7,1,5,2,4,3,6]=>[5,1,2,4,7,3,6]
[7,1,5,2,4,6,3]=>[5,1,2,4,6,7,3]
[7,1,5,2,6,3,4]=>[6,5,1,2,7,3,4]
[7,1,5,2,6,4,3]=>[6,5,1,2,4,7,3]
[7,1,5,3,2,4,6]=>[5,3,7,1,2,4,6]
[7,1,5,3,2,6,4]=>[5,3,6,7,1,2,4]
[7,1,5,3,4,2,6]=>[5,3,4,7,1,2,6]
[7,1,5,3,4,6,2]=>[5,3,4,6,7,1,2]
[7,1,5,3,6,2,4]=>[6,5,3,7,1,2,4]
[7,1,5,3,6,4,2]=>[6,5,3,4,7,1,2]
[7,1,5,4,2,3,6]=>[4,5,1,2,7,3,6]
[7,1,5,4,2,6,3]=>[4,5,1,2,6,7,3]
[7,1,5,4,3,2,6]=>[4,5,3,7,1,2,6]
[7,1,5,4,3,6,2]=>[4,5,3,6,7,1,2]
[7,1,5,4,6,2,3]=>[4,6,5,1,2,7,3]
[7,1,5,4,6,3,2]=>[4,6,5,3,7,1,2]
[7,1,5,6,2,3,4]=>[6,1,2,5,3,7,4]
[7,1,5,6,2,4,3]=>[6,1,2,5,4,7,3]
[7,1,5,6,3,2,4]=>[6,3,5,1,2,7,4]
[7,1,5,6,3,4,2]=>[6,3,5,4,7,1,2]
[7,1,5,6,4,2,3]=>[6,4,5,1,2,7,3]
[7,1,5,6,4,3,2]=>[6,4,5,3,7,1,2]
[7,1,6,2,3,4,5]=>[6,1,2,7,3,4,5]
[7,1,6,2,3,5,4]=>[6,1,2,5,7,3,4]
[7,1,6,2,4,3,5]=>[6,1,2,4,7,3,5]
[7,1,6,2,4,5,3]=>[6,1,2,4,5,7,3]
[7,1,6,2,5,3,4]=>[5,6,1,2,7,3,4]
[7,1,6,2,5,4,3]=>[5,6,1,2,4,7,3]
[7,1,6,3,2,4,5]=>[6,3,7,1,2,4,5]
[7,1,6,3,2,5,4]=>[6,3,5,7,1,2,4]
[7,1,6,3,4,2,5]=>[6,3,4,7,1,2,5]
[7,1,6,3,4,5,2]=>[6,3,4,5,7,1,2]
[7,1,6,3,5,2,4]=>[5,6,3,7,1,2,4]
[7,1,6,3,5,4,2]=>[5,6,3,4,7,1,2]
[7,1,6,4,2,3,5]=>[4,6,1,2,7,3,5]
[7,1,6,4,2,5,3]=>[4,6,1,2,5,7,3]
[7,1,6,4,3,2,5]=>[4,6,3,7,1,2,5]
[7,1,6,4,3,5,2]=>[4,6,3,5,7,1,2]
[7,1,6,4,5,2,3]=>[4,5,6,1,2,7,3]
[7,1,6,4,5,3,2]=>[4,5,6,3,7,1,2]
[7,1,6,5,2,3,4]=>[5,1,2,6,3,7,4]
[7,1,6,5,2,4,3]=>[5,1,2,6,4,7,3]
[7,1,6,5,3,2,4]=>[5,3,6,1,2,7,4]
[7,1,6,5,3,4,2]=>[5,3,6,4,7,1,2]
[7,1,6,5,4,2,3]=>[5,4,6,1,2,7,3]
[7,1,6,5,4,3,2]=>[5,4,6,3,7,1,2]
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[7,2,1,3,4,6,5]=>[2,6,7,1,3,4,5]
[7,2,1,3,5,4,6]=>[2,5,7,1,3,4,6]
[7,2,1,3,5,6,4]=>[2,5,6,7,1,3,4]
[7,2,1,3,6,4,5]=>[2,6,1,3,4,7,5]
[7,2,1,3,6,5,4]=>[2,6,5,7,1,3,4]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]
[7,2,1,4,3,6,5]=>[2,4,6,7,1,3,5]
[7,2,1,4,5,3,6]=>[2,4,5,7,1,3,6]
[7,2,1,4,5,6,3]=>[2,4,5,6,7,1,3]
[7,2,1,4,6,3,5]=>[2,4,6,1,3,7,5]
[7,2,1,4,6,5,3]=>[2,4,6,5,7,1,3]
[7,2,1,5,3,4,6]=>[2,5,1,3,7,4,6]
[7,2,1,5,3,6,4]=>[2,5,1,3,6,7,4]
[7,2,1,5,4,3,6]=>[2,5,4,7,1,3,6]
[7,2,1,5,4,6,3]=>[2,5,4,6,7,1,3]
[7,2,1,5,6,3,4]=>[2,6,5,1,3,7,4]
[7,2,1,5,6,4,3]=>[2,6,5,4,7,1,3]
[7,2,1,6,3,4,5]=>[2,6,1,3,7,4,5]
[7,2,1,6,3,5,4]=>[2,6,1,3,5,7,4]
[7,2,1,6,4,3,5]=>[2,6,4,7,1,3,5]
[7,2,1,6,4,5,3]=>[2,6,4,5,7,1,3]
[7,2,1,6,5,3,4]=>[2,5,6,1,3,7,4]
[7,2,1,6,5,4,3]=>[2,5,6,4,7,1,3]
[7,2,3,1,4,5,6]=>[2,3,7,1,4,5,6]
[7,2,3,1,4,6,5]=>[2,3,6,7,1,4,5]
[7,2,3,1,5,4,6]=>[2,3,5,7,1,4,6]
[7,2,3,1,5,6,4]=>[2,3,5,6,7,1,4]
[7,2,3,1,6,4,5]=>[2,3,6,1,4,7,5]
[7,2,3,1,6,5,4]=>[2,3,6,5,7,1,4]
[7,2,3,4,1,5,6]=>[2,3,4,7,1,5,6]
[7,2,3,4,1,6,5]=>[2,3,4,6,7,1,5]
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]
[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]
[7,2,3,4,6,1,5]=>[2,3,4,6,1,7,5]
[7,2,3,4,6,5,1]=>[2,3,4,6,5,7,1]
[7,2,3,5,1,4,6]=>[2,3,5,1,7,4,6]
[7,2,3,5,1,6,4]=>[2,3,5,1,6,7,4]
[7,2,3,5,4,1,6]=>[2,3,5,4,7,1,6]
[7,2,3,5,4,6,1]=>[2,3,5,4,6,7,1]
[7,2,3,5,6,1,4]=>[2,3,6,5,1,7,4]
[7,2,3,5,6,4,1]=>[2,3,6,5,4,7,1]
[7,2,3,6,1,4,5]=>[2,3,6,1,7,4,5]
[7,2,3,6,1,5,4]=>[2,3,6,1,5,7,4]
[7,2,3,6,4,1,5]=>[2,3,6,4,7,1,5]
[7,2,3,6,4,5,1]=>[2,3,6,4,5,7,1]
[7,2,3,6,5,1,4]=>[2,3,5,6,1,7,4]
[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]
[7,2,4,1,3,5,6]=>[2,4,1,7,3,5,6]
[7,2,4,1,3,6,5]=>[2,4,1,6,7,3,5]
[7,2,4,1,5,3,6]=>[2,4,1,5,7,3,6]
[7,2,4,1,5,6,3]=>[2,4,1,5,6,7,3]
[7,2,4,1,6,3,5]=>[2,4,1,6,3,7,5]
[7,2,4,1,6,5,3]=>[2,4,1,6,5,7,3]
[7,2,4,3,1,5,6]=>[2,4,3,7,1,5,6]
[7,2,4,3,1,6,5]=>[2,4,3,6,7,1,5]
[7,2,4,3,5,1,6]=>[2,4,3,5,7,1,6]
[7,2,4,3,5,6,1]=>[2,4,3,5,6,7,1]
[7,2,4,3,6,1,5]=>[2,4,3,6,1,7,5]
[7,2,4,3,6,5,1]=>[2,4,3,6,5,7,1]
[7,2,4,5,1,3,6]=>[2,5,4,1,7,3,6]
[7,2,4,5,1,6,3]=>[2,5,4,1,6,7,3]
[7,2,4,5,3,1,6]=>[2,5,4,3,7,1,6]
[7,2,4,5,3,6,1]=>[2,5,4,3,6,7,1]
[7,2,4,5,6,1,3]=>[2,6,5,4,1,7,3]
[7,2,4,5,6,3,1]=>[2,6,5,4,3,7,1]
[7,2,4,6,1,3,5]=>[2,6,4,1,7,3,5]
[7,2,4,6,1,5,3]=>[2,6,4,1,5,7,3]
[7,2,4,6,3,1,5]=>[2,6,4,3,7,1,5]
[7,2,4,6,3,5,1]=>[2,6,4,3,5,7,1]
[7,2,4,6,5,1,3]=>[2,5,6,4,1,7,3]
[7,2,4,6,5,3,1]=>[2,5,6,4,3,7,1]
[7,2,5,1,3,4,6]=>[2,5,1,7,3,4,6]
[7,2,5,1,3,6,4]=>[2,5,1,6,7,3,4]
[7,2,5,1,4,3,6]=>[2,5,1,4,7,3,6]
[7,2,5,1,4,6,3]=>[2,5,1,4,6,7,3]
[7,2,5,1,6,3,4]=>[2,6,5,1,7,3,4]
[7,2,5,1,6,4,3]=>[2,6,5,1,4,7,3]
[7,2,5,3,1,4,6]=>[2,5,3,7,1,4,6]
[7,2,5,3,1,6,4]=>[2,5,3,6,7,1,4]
[7,2,5,3,4,1,6]=>[2,5,3,4,7,1,6]
[7,2,5,3,4,6,1]=>[2,5,3,4,6,7,1]
[7,2,5,3,6,1,4]=>[2,6,5,3,7,1,4]
[7,2,5,3,6,4,1]=>[2,6,5,3,4,7,1]
[7,2,5,4,1,3,6]=>[2,4,5,1,7,3,6]
[7,2,5,4,1,6,3]=>[2,4,5,1,6,7,3]
[7,2,5,4,3,1,6]=>[2,4,5,3,7,1,6]
[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]
[7,2,5,4,6,1,3]=>[2,4,6,5,1,7,3]
[7,2,5,4,6,3,1]=>[2,4,6,5,3,7,1]
[7,2,5,6,1,3,4]=>[2,6,1,5,3,7,4]
[7,2,5,6,1,4,3]=>[2,6,1,5,4,7,3]
[7,2,5,6,3,1,4]=>[2,6,3,5,1,7,4]
[7,2,5,6,3,4,1]=>[2,6,3,5,4,7,1]
[7,2,5,6,4,1,3]=>[2,6,4,5,1,7,3]
[7,2,5,6,4,3,1]=>[2,6,4,5,3,7,1]
[7,2,6,1,3,4,5]=>[2,6,1,7,3,4,5]
[7,2,6,1,3,5,4]=>[2,6,1,5,7,3,4]
[7,2,6,1,4,3,5]=>[2,6,1,4,7,3,5]
[7,2,6,1,4,5,3]=>[2,6,1,4,5,7,3]
[7,2,6,1,5,3,4]=>[2,5,6,1,7,3,4]
[7,2,6,1,5,4,3]=>[2,5,6,1,4,7,3]
[7,2,6,3,1,4,5]=>[2,6,3,7,1,4,5]
[7,2,6,3,1,5,4]=>[2,6,3,5,7,1,4]
[7,2,6,3,4,1,5]=>[2,6,3,4,7,1,5]
[7,2,6,3,4,5,1]=>[2,6,3,4,5,7,1]
[7,2,6,3,5,1,4]=>[2,5,6,3,7,1,4]
[7,2,6,3,5,4,1]=>[2,5,6,3,4,7,1]
[7,2,6,4,1,3,5]=>[2,4,6,1,7,3,5]
[7,2,6,4,1,5,3]=>[2,4,6,1,5,7,3]
[7,2,6,4,3,1,5]=>[2,4,6,3,7,1,5]
[7,2,6,4,3,5,1]=>[2,4,6,3,5,7,1]
[7,2,6,4,5,1,3]=>[2,4,5,6,1,7,3]
[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]
[7,2,6,5,1,3,4]=>[2,5,1,6,3,7,4]
[7,2,6,5,1,4,3]=>[2,5,1,6,4,7,3]
[7,2,6,5,3,1,4]=>[2,5,3,6,1,7,4]
[7,2,6,5,3,4,1]=>[2,5,3,6,4,7,1]
[7,2,6,5,4,1,3]=>[2,5,4,6,1,7,3]
[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[7,3,1,2,4,6,5]=>[3,1,6,7,2,4,5]
[7,3,1,2,5,4,6]=>[3,1,5,7,2,4,6]
[7,3,1,2,5,6,4]=>[3,1,5,6,7,2,4]
[7,3,1,2,6,4,5]=>[3,1,6,2,4,7,5]
[7,3,1,2,6,5,4]=>[3,1,6,5,7,2,4]
[7,3,1,4,2,5,6]=>[3,1,4,7,2,5,6]
[7,3,1,4,2,6,5]=>[3,1,4,6,7,2,5]
[7,3,1,4,5,2,6]=>[3,1,4,5,7,2,6]
[7,3,1,4,5,6,2]=>[3,1,4,5,6,7,2]
[7,3,1,4,6,2,5]=>[3,1,4,6,2,7,5]
[7,3,1,4,6,5,2]=>[3,1,4,6,5,7,2]
[7,3,1,5,2,4,6]=>[3,1,5,2,7,4,6]
[7,3,1,5,2,6,4]=>[3,1,5,2,6,7,4]
[7,3,1,5,4,2,6]=>[3,1,5,4,7,2,6]
[7,3,1,5,4,6,2]=>[3,1,5,4,6,7,2]
[7,3,1,5,6,2,4]=>[3,1,6,5,2,7,4]
[7,3,1,5,6,4,2]=>[3,1,6,5,4,7,2]
[7,3,1,6,2,4,5]=>[3,1,6,2,7,4,5]
[7,3,1,6,2,5,4]=>[3,1,6,2,5,7,4]
[7,3,1,6,4,2,5]=>[3,1,6,4,7,2,5]
[7,3,1,6,4,5,2]=>[3,1,6,4,5,7,2]
[7,3,1,6,5,2,4]=>[3,1,5,6,2,7,4]
[7,3,1,6,5,4,2]=>[3,1,5,6,4,7,2]
[7,3,2,1,4,5,6]=>[3,2,7,1,4,5,6]
[7,3,2,1,4,6,5]=>[3,2,6,7,1,4,5]
[7,3,2,1,5,4,6]=>[3,2,5,7,1,4,6]
[7,3,2,1,5,6,4]=>[3,2,5,6,7,1,4]
[7,3,2,1,6,4,5]=>[3,2,6,1,4,7,5]
[7,3,2,1,6,5,4]=>[3,2,6,5,7,1,4]
[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]
[7,3,2,4,1,6,5]=>[3,2,4,6,7,1,5]
[7,3,2,4,5,1,6]=>[3,2,4,5,7,1,6]
[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]
[7,3,2,4,6,1,5]=>[3,2,4,6,1,7,5]
[7,3,2,4,6,5,1]=>[3,2,4,6,5,7,1]
[7,3,2,5,1,4,6]=>[3,2,5,1,7,4,6]
[7,3,2,5,1,6,4]=>[3,2,5,1,6,7,4]
[7,3,2,5,4,1,6]=>[3,2,5,4,7,1,6]
[7,3,2,5,4,6,1]=>[3,2,5,4,6,7,1]
[7,3,2,5,6,1,4]=>[3,2,6,5,1,7,4]
[7,3,2,5,6,4,1]=>[3,2,6,5,4,7,1]
[7,3,2,6,1,4,5]=>[3,2,6,1,7,4,5]
[7,3,2,6,1,5,4]=>[3,2,6,1,5,7,4]
[7,3,2,6,4,1,5]=>[3,2,6,4,7,1,5]
[7,3,2,6,4,5,1]=>[3,2,6,4,5,7,1]
[7,3,2,6,5,1,4]=>[3,2,5,6,1,7,4]
[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]
[7,3,4,1,2,5,6]=>[4,3,1,7,2,5,6]
[7,3,4,1,2,6,5]=>[4,3,1,6,7,2,5]
[7,3,4,1,5,2,6]=>[4,3,1,5,7,2,6]
[7,3,4,1,5,6,2]=>[4,3,1,5,6,7,2]
[7,3,4,1,6,2,5]=>[4,3,1,6,2,7,5]
[7,3,4,1,6,5,2]=>[4,3,1,6,5,7,2]
[7,3,4,2,1,5,6]=>[4,3,2,7,1,5,6]
[7,3,4,2,1,6,5]=>[4,3,2,6,7,1,5]
[7,3,4,2,5,1,6]=>[4,3,2,5,7,1,6]
[7,3,4,2,5,6,1]=>[4,3,2,5,6,7,1]
[7,3,4,2,6,1,5]=>[4,3,2,6,1,7,5]
[7,3,4,2,6,5,1]=>[4,3,2,6,5,7,1]
[7,3,4,5,1,2,6]=>[5,4,3,1,7,2,6]
[7,3,4,5,1,6,2]=>[5,4,3,1,6,7,2]
[7,3,4,5,2,1,6]=>[5,4,3,2,7,1,6]
[7,3,4,5,2,6,1]=>[5,4,3,2,6,7,1]
[7,3,4,5,6,1,2]=>[6,5,4,3,1,7,2]
[7,3,4,5,6,2,1]=>[6,5,4,3,2,7,1]
[7,3,4,6,1,2,5]=>[6,4,3,1,7,2,5]
[7,3,4,6,1,5,2]=>[6,4,3,1,5,7,2]
[7,3,4,6,2,1,5]=>[6,4,3,2,7,1,5]
[7,3,4,6,2,5,1]=>[6,4,3,2,5,7,1]
[7,3,4,6,5,1,2]=>[5,6,4,3,1,7,2]
[7,3,4,6,5,2,1]=>[5,6,4,3,2,7,1]
[7,3,5,1,2,4,6]=>[5,3,1,7,2,4,6]
[7,3,5,1,2,6,4]=>[5,3,1,6,7,2,4]
[7,3,5,1,4,2,6]=>[5,3,1,4,7,2,6]
[7,3,5,1,4,6,2]=>[5,3,1,4,6,7,2]
[7,3,5,1,6,2,4]=>[6,5,3,1,7,2,4]
[7,3,5,1,6,4,2]=>[6,5,3,1,4,7,2]
[7,3,5,2,1,4,6]=>[5,3,2,7,1,4,6]
[7,3,5,2,1,6,4]=>[5,3,2,6,7,1,4]
[7,3,5,2,4,1,6]=>[5,3,2,4,7,1,6]
[7,3,5,2,4,6,1]=>[5,3,2,4,6,7,1]
[7,3,5,2,6,1,4]=>[6,5,3,2,7,1,4]
[7,3,5,2,6,4,1]=>[6,5,3,2,4,7,1]
[7,3,5,4,1,2,6]=>[4,5,3,1,7,2,6]
[7,3,5,4,1,6,2]=>[4,5,3,1,6,7,2]
[7,3,5,4,2,1,6]=>[4,5,3,2,7,1,6]
[7,3,5,4,2,6,1]=>[4,5,3,2,6,7,1]
[7,3,5,4,6,1,2]=>[4,6,5,3,1,7,2]
[7,3,5,4,6,2,1]=>[4,6,5,3,2,7,1]
[7,3,5,6,1,2,4]=>[6,3,1,5,2,7,4]
[7,3,5,6,1,4,2]=>[6,3,1,5,4,7,2]
[7,3,5,6,2,1,4]=>[6,3,2,5,1,7,4]
[7,3,5,6,2,4,1]=>[6,3,2,5,4,7,1]
[7,3,5,6,4,1,2]=>[6,4,5,3,1,7,2]
[7,3,5,6,4,2,1]=>[6,4,5,3,2,7,1]
[7,3,6,1,2,4,5]=>[6,3,1,7,2,4,5]
[7,3,6,1,2,5,4]=>[6,3,1,5,7,2,4]
[7,3,6,1,4,2,5]=>[6,3,1,4,7,2,5]
[7,3,6,1,4,5,2]=>[6,3,1,4,5,7,2]
[7,3,6,1,5,2,4]=>[5,6,3,1,7,2,4]
[7,3,6,1,5,4,2]=>[5,6,3,1,4,7,2]
[7,3,6,2,1,4,5]=>[6,3,2,7,1,4,5]
[7,3,6,2,1,5,4]=>[6,3,2,5,7,1,4]
[7,3,6,2,4,1,5]=>[6,3,2,4,7,1,5]
[7,3,6,2,4,5,1]=>[6,3,2,4,5,7,1]
[7,3,6,2,5,1,4]=>[5,6,3,2,7,1,4]
[7,3,6,2,5,4,1]=>[5,6,3,2,4,7,1]
[7,3,6,4,1,2,5]=>[4,6,3,1,7,2,5]
[7,3,6,4,1,5,2]=>[4,6,3,1,5,7,2]
[7,3,6,4,2,1,5]=>[4,6,3,2,7,1,5]
[7,3,6,4,2,5,1]=>[4,6,3,2,5,7,1]
[7,3,6,4,5,1,2]=>[4,5,6,3,1,7,2]
[7,3,6,4,5,2,1]=>[4,5,6,3,2,7,1]
[7,3,6,5,1,2,4]=>[5,3,1,6,2,7,4]
[7,3,6,5,1,4,2]=>[5,3,1,6,4,7,2]
[7,3,6,5,2,1,4]=>[5,3,2,6,1,7,4]
[7,3,6,5,2,4,1]=>[5,3,2,6,4,7,1]
[7,3,6,5,4,1,2]=>[5,4,6,3,1,7,2]
[7,3,6,5,4,2,1]=>[5,4,6,3,2,7,1]
[7,4,1,2,3,5,6]=>[4,1,7,2,3,5,6]
[7,4,1,2,3,6,5]=>[4,1,6,7,2,3,5]
[7,4,1,2,5,3,6]=>[4,1,5,7,2,3,6]
[7,4,1,2,5,6,3]=>[4,1,5,6,7,2,3]
[7,4,1,2,6,3,5]=>[4,1,6,2,3,7,5]
[7,4,1,2,6,5,3]=>[4,1,6,5,7,2,3]
[7,4,1,3,2,5,6]=>[4,1,3,7,2,5,6]
[7,4,1,3,2,6,5]=>[4,1,3,6,7,2,5]
[7,4,1,3,5,2,6]=>[4,1,3,5,7,2,6]
[7,4,1,3,5,6,2]=>[4,1,3,5,6,7,2]
[7,4,1,3,6,2,5]=>[4,1,3,6,2,7,5]
[7,4,1,3,6,5,2]=>[4,1,3,6,5,7,2]
[7,4,1,5,2,3,6]=>[5,4,1,7,2,3,6]
[7,4,1,5,2,6,3]=>[5,4,1,6,7,2,3]
[7,4,1,5,3,2,6]=>[5,4,1,3,7,2,6]
[7,4,1,5,3,6,2]=>[5,4,1,3,6,7,2]
[7,4,1,5,6,2,3]=>[6,5,4,1,7,2,3]
[7,4,1,5,6,3,2]=>[6,5,4,1,3,7,2]
[7,4,1,6,2,3,5]=>[6,4,1,7,2,3,5]
[7,4,1,6,2,5,3]=>[6,4,1,5,7,2,3]
[7,4,1,6,3,2,5]=>[6,4,1,3,7,2,5]
[7,4,1,6,3,5,2]=>[6,4,1,3,5,7,2]
[7,4,1,6,5,2,3]=>[5,6,4,1,7,2,3]
[7,4,1,6,5,3,2]=>[5,6,4,1,3,7,2]
[7,4,2,1,3,5,6]=>[4,2,7,1,3,5,6]
[7,4,2,1,3,6,5]=>[4,2,6,7,1,3,5]
[7,4,2,1,5,3,6]=>[4,2,5,7,1,3,6]
[7,4,2,1,5,6,3]=>[4,2,5,6,7,1,3]
[7,4,2,1,6,3,5]=>[4,2,6,1,3,7,5]
[7,4,2,1,6,5,3]=>[4,2,6,5,7,1,3]
[7,4,2,3,1,5,6]=>[4,2,3,7,1,5,6]
[7,4,2,3,1,6,5]=>[4,2,3,6,7,1,5]
[7,4,2,3,5,1,6]=>[4,2,3,5,7,1,6]
[7,4,2,3,5,6,1]=>[4,2,3,5,6,7,1]
[7,4,2,3,6,1,5]=>[4,2,3,6,1,7,5]
[7,4,2,3,6,5,1]=>[4,2,3,6,5,7,1]
[7,4,2,5,1,3,6]=>[5,4,2,7,1,3,6]
[7,4,2,5,1,6,3]=>[5,4,2,6,7,1,3]
[7,4,2,5,3,1,6]=>[5,4,2,3,7,1,6]
[7,4,2,5,3,6,1]=>[5,4,2,3,6,7,1]
[7,4,2,5,6,1,3]=>[6,5,4,2,7,1,3]
[7,4,2,5,6,3,1]=>[6,5,4,2,3,7,1]
[7,4,2,6,1,3,5]=>[6,4,2,7,1,3,5]
[7,4,2,6,1,5,3]=>[6,4,2,5,7,1,3]
[7,4,2,6,3,1,5]=>[6,4,2,3,7,1,5]
[7,4,2,6,3,5,1]=>[6,4,2,3,5,7,1]
[7,4,2,6,5,1,3]=>[5,6,4,2,7,1,3]
[7,4,2,6,5,3,1]=>[5,6,4,2,3,7,1]
[7,4,3,1,2,5,6]=>[3,4,1,7,2,5,6]
[7,4,3,1,2,6,5]=>[3,4,1,6,7,2,5]
[7,4,3,1,5,2,6]=>[3,4,1,5,7,2,6]
[7,4,3,1,5,6,2]=>[3,4,1,5,6,7,2]
[7,4,3,1,6,2,5]=>[3,4,1,6,2,7,5]
[7,4,3,1,6,5,2]=>[3,4,1,6,5,7,2]
[7,4,3,2,1,5,6]=>[3,4,2,7,1,5,6]
[7,4,3,2,1,6,5]=>[3,4,2,6,7,1,5]
[7,4,3,2,5,1,6]=>[3,4,2,5,7,1,6]
[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]
[7,4,3,2,6,1,5]=>[3,4,2,6,1,7,5]
[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]
[7,4,3,5,1,2,6]=>[3,5,4,1,7,2,6]
[7,4,3,5,1,6,2]=>[3,5,4,1,6,7,2]
[7,4,3,5,2,1,6]=>[3,5,4,2,7,1,6]
[7,4,3,5,2,6,1]=>[3,5,4,2,6,7,1]
[7,4,3,5,6,1,2]=>[3,6,5,4,1,7,2]
[7,4,3,5,6,2,1]=>[3,6,5,4,2,7,1]
[7,4,3,6,1,2,5]=>[3,6,4,1,7,2,5]
[7,4,3,6,1,5,2]=>[3,6,4,1,5,7,2]
[7,4,3,6,2,1,5]=>[3,6,4,2,7,1,5]
[7,4,3,6,2,5,1]=>[3,6,4,2,5,7,1]
[7,4,3,6,5,1,2]=>[3,5,6,4,1,7,2]
[7,4,3,6,5,2,1]=>[3,5,6,4,2,7,1]
[7,4,5,1,2,3,6]=>[5,1,4,2,7,3,6]
[7,4,5,1,2,6,3]=>[5,1,4,2,6,7,3]
[7,4,5,1,3,2,6]=>[5,1,4,3,7,2,6]
[7,4,5,1,3,6,2]=>[5,1,4,3,6,7,2]
[7,4,5,1,6,2,3]=>[6,5,1,4,2,7,3]
[7,4,5,1,6,3,2]=>[6,5,1,4,3,7,2]
[7,4,5,2,1,3,6]=>[5,2,4,1,7,3,6]
[7,4,5,2,1,6,3]=>[5,2,4,1,6,7,3]
[7,4,5,2,3,1,6]=>[5,2,4,3,7,1,6]
[7,4,5,2,3,6,1]=>[5,2,4,3,6,7,1]
[7,4,5,2,6,1,3]=>[6,5,2,4,1,7,3]
[7,4,5,2,6,3,1]=>[6,5,2,4,3,7,1]
[7,4,5,3,1,2,6]=>[5,3,4,1,7,2,6]
[7,4,5,3,1,6,2]=>[5,3,4,1,6,7,2]
[7,4,5,3,2,1,6]=>[5,3,4,2,7,1,6]
[7,4,5,3,2,6,1]=>[5,3,4,2,6,7,1]
[7,4,5,3,6,1,2]=>[6,5,3,4,1,7,2]
[7,4,5,3,6,2,1]=>[6,5,3,4,2,7,1]
[7,4,5,6,1,2,3]=>[6,1,5,4,2,7,3]
[7,4,5,6,1,3,2]=>[6,1,5,4,3,7,2]
[7,4,5,6,2,1,3]=>[6,2,5,4,1,7,3]
[7,4,5,6,2,3,1]=>[6,2,5,4,3,7,1]
[7,4,5,6,3,1,2]=>[6,3,5,4,1,7,2]
[7,4,5,6,3,2,1]=>[6,3,5,4,2,7,1]
[7,4,6,1,2,3,5]=>[6,1,4,2,7,3,5]
[7,4,6,1,2,5,3]=>[6,1,4,2,5,7,3]
[7,4,6,1,3,2,5]=>[6,1,4,3,7,2,5]
[7,4,6,1,3,5,2]=>[6,1,4,3,5,7,2]
[7,4,6,1,5,2,3]=>[5,6,1,4,2,7,3]
[7,4,6,1,5,3,2]=>[5,6,1,4,3,7,2]
[7,4,6,2,1,3,5]=>[6,2,4,1,7,3,5]
[7,4,6,2,1,5,3]=>[6,2,4,1,5,7,3]
[7,4,6,2,3,1,5]=>[6,2,4,3,7,1,5]
[7,4,6,2,3,5,1]=>[6,2,4,3,5,7,1]
[7,4,6,2,5,1,3]=>[5,6,2,4,1,7,3]
[7,4,6,2,5,3,1]=>[5,6,2,4,3,7,1]
[7,4,6,3,1,2,5]=>[6,3,4,1,7,2,5]
[7,4,6,3,1,5,2]=>[6,3,4,1,5,7,2]
[7,4,6,3,2,1,5]=>[6,3,4,2,7,1,5]
[7,4,6,3,2,5,1]=>[6,3,4,2,5,7,1]
[7,4,6,3,5,1,2]=>[5,6,3,4,1,7,2]
[7,4,6,3,5,2,1]=>[5,6,3,4,2,7,1]
[7,4,6,5,1,2,3]=>[5,1,6,4,2,7,3]
[7,4,6,5,1,3,2]=>[5,1,6,4,3,7,2]
[7,4,6,5,2,1,3]=>[5,2,6,4,1,7,3]
[7,4,6,5,2,3,1]=>[5,2,6,4,3,7,1]
[7,4,6,5,3,1,2]=>[5,3,6,4,1,7,2]
[7,4,6,5,3,2,1]=>[5,3,6,4,2,7,1]
[7,5,1,2,3,4,6]=>[5,1,7,2,3,4,6]
[7,5,1,2,3,6,4]=>[5,1,6,7,2,3,4]
[7,5,1,2,4,3,6]=>[5,1,4,7,2,3,6]
[7,5,1,2,4,6,3]=>[5,1,4,6,7,2,3]
[7,5,1,2,6,3,4]=>[6,5,1,7,2,3,4]
[7,5,1,2,6,4,3]=>[6,5,1,4,7,2,3]
[7,5,1,3,2,4,6]=>[5,1,3,7,2,4,6]
[7,5,1,3,2,6,4]=>[5,1,3,6,7,2,4]
[7,5,1,3,4,2,6]=>[5,1,3,4,7,2,6]
[7,5,1,3,4,6,2]=>[5,1,3,4,6,7,2]
[7,5,1,3,6,2,4]=>[6,5,1,3,7,2,4]
[7,5,1,3,6,4,2]=>[6,5,1,3,4,7,2]
[7,5,1,4,2,3,6]=>[4,5,1,7,2,3,6]
[7,5,1,4,2,6,3]=>[4,5,1,6,7,2,3]
[7,5,1,4,3,2,6]=>[4,5,1,3,7,2,6]
[7,5,1,4,3,6,2]=>[4,5,1,3,6,7,2]
[7,5,1,4,6,2,3]=>[4,6,5,1,7,2,3]
[7,5,1,4,6,3,2]=>[4,6,5,1,3,7,2]
[7,5,1,6,2,3,4]=>[6,1,5,2,3,7,4]
[7,5,1,6,2,4,3]=>[6,1,5,4,7,2,3]
[7,5,1,6,3,2,4]=>[6,1,3,5,2,7,4]
[7,5,1,6,3,4,2]=>[6,1,3,5,4,7,2]
[7,5,1,6,4,2,3]=>[6,4,5,1,7,2,3]
[7,5,1,6,4,3,2]=>[6,4,5,1,3,7,2]
[7,5,2,1,3,4,6]=>[5,2,7,1,3,4,6]
[7,5,2,1,3,6,4]=>[5,2,6,7,1,3,4]
[7,5,2,1,4,3,6]=>[5,2,4,7,1,3,6]
[7,5,2,1,4,6,3]=>[5,2,4,6,7,1,3]
[7,5,2,1,6,3,4]=>[6,5,2,7,1,3,4]
[7,5,2,1,6,4,3]=>[6,5,2,4,7,1,3]
[7,5,2,3,1,4,6]=>[5,2,3,7,1,4,6]
[7,5,2,3,1,6,4]=>[5,2,3,6,7,1,4]
[7,5,2,3,4,1,6]=>[5,2,3,4,7,1,6]
[7,5,2,3,4,6,1]=>[5,2,3,4,6,7,1]
[7,5,2,3,6,1,4]=>[6,5,2,3,7,1,4]
[7,5,2,3,6,4,1]=>[6,5,2,3,4,7,1]
[7,5,2,4,1,3,6]=>[4,5,2,7,1,3,6]
[7,5,2,4,1,6,3]=>[4,5,2,6,7,1,3]
[7,5,2,4,3,1,6]=>[4,5,2,3,7,1,6]
[7,5,2,4,3,6,1]=>[4,5,2,3,6,7,1]
[7,5,2,4,6,1,3]=>[4,6,5,2,7,1,3]
[7,5,2,4,6,3,1]=>[4,6,5,2,3,7,1]
[7,5,2,6,1,3,4]=>[6,2,5,1,3,7,4]
[7,5,2,6,1,4,3]=>[6,2,5,4,7,1,3]
[7,5,2,6,3,1,4]=>[6,2,3,5,1,7,4]
[7,5,2,6,3,4,1]=>[6,2,3,5,4,7,1]
[7,5,2,6,4,1,3]=>[6,4,5,2,7,1,3]
[7,5,2,6,4,3,1]=>[6,4,5,2,3,7,1]
[7,5,3,1,2,4,6]=>[3,5,1,7,2,4,6]
[7,5,3,1,2,6,4]=>[3,5,1,6,7,2,4]
[7,5,3,1,4,2,6]=>[3,5,1,4,7,2,6]
[7,5,3,1,4,6,2]=>[3,5,1,4,6,7,2]
[7,5,3,1,6,2,4]=>[3,6,5,1,7,2,4]
[7,5,3,1,6,4,2]=>[3,6,5,1,4,7,2]
[7,5,3,2,1,4,6]=>[3,5,2,7,1,4,6]
[7,5,3,2,1,6,4]=>[3,5,2,6,7,1,4]
[7,5,3,2,4,1,6]=>[3,5,2,4,7,1,6]
[7,5,3,2,4,6,1]=>[3,5,2,4,6,7,1]
[7,5,3,2,6,1,4]=>[3,6,5,2,7,1,4]
[7,5,3,2,6,4,1]=>[3,6,5,2,4,7,1]
[7,5,3,4,1,2,6]=>[3,4,5,1,7,2,6]
[7,5,3,4,1,6,2]=>[3,4,5,1,6,7,2]
[7,5,3,4,2,1,6]=>[3,4,5,2,7,1,6]
[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]
[7,5,3,4,6,1,2]=>[3,4,6,5,1,7,2]
[7,5,3,4,6,2,1]=>[3,4,6,5,2,7,1]
[7,5,3,6,1,2,4]=>[3,6,1,5,2,7,4]
[7,5,3,6,1,4,2]=>[3,6,1,5,4,7,2]
[7,5,3,6,2,1,4]=>[3,6,2,5,1,7,4]
[7,5,3,6,2,4,1]=>[3,6,2,5,4,7,1]
[7,5,3,6,4,1,2]=>[3,6,4,5,1,7,2]
[7,5,3,6,4,2,1]=>[3,6,4,5,2,7,1]
[7,5,4,1,2,3,6]=>[4,1,5,2,7,3,6]
[7,5,4,1,2,6,3]=>[4,1,5,2,6,7,3]
[7,5,4,1,3,2,6]=>[4,1,5,3,7,2,6]
[7,5,4,1,3,6,2]=>[4,1,5,3,6,7,2]
[7,5,4,1,6,2,3]=>[4,1,6,5,2,7,3]
[7,5,4,1,6,3,2]=>[4,1,6,5,3,7,2]
[7,5,4,2,1,3,6]=>[4,2,5,1,7,3,6]
[7,5,4,2,1,6,3]=>[4,2,5,1,6,7,3]
[7,5,4,2,3,1,6]=>[4,2,5,3,7,1,6]
[7,5,4,2,3,6,1]=>[4,2,5,3,6,7,1]
[7,5,4,2,6,1,3]=>[4,2,6,5,1,7,3]
[7,5,4,2,6,3,1]=>[4,2,6,5,3,7,1]
[7,5,4,3,1,2,6]=>[4,3,5,1,7,2,6]
[7,5,4,3,1,6,2]=>[4,3,5,1,6,7,2]
[7,5,4,3,2,1,6]=>[4,3,5,2,7,1,6]
[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]
[7,5,4,3,6,1,2]=>[4,3,6,5,1,7,2]
[7,5,4,3,6,2,1]=>[4,3,6,5,2,7,1]
[7,5,4,6,1,2,3]=>[6,4,1,5,2,7,3]
[7,5,4,6,1,3,2]=>[6,4,1,5,3,7,2]
[7,5,4,6,2,1,3]=>[6,4,2,5,1,7,3]
[7,5,4,6,2,3,1]=>[6,4,2,5,3,7,1]
[7,5,4,6,3,1,2]=>[6,4,3,5,1,7,2]
[7,5,4,6,3,2,1]=>[6,4,3,5,2,7,1]
[7,5,6,1,2,3,4]=>[6,1,5,2,7,3,4]
[7,5,6,1,2,4,3]=>[6,1,5,2,4,7,3]
[7,5,6,1,3,2,4]=>[6,1,5,3,7,2,4]
[7,5,6,1,3,4,2]=>[6,1,5,3,4,7,2]
[7,5,6,1,4,2,3]=>[6,1,4,5,2,7,3]
[7,5,6,1,4,3,2]=>[6,1,4,5,3,7,2]
[7,5,6,2,1,3,4]=>[6,2,5,1,7,3,4]
[7,5,6,2,1,4,3]=>[6,2,5,1,4,7,3]
[7,5,6,2,3,1,4]=>[6,2,5,3,7,1,4]
[7,5,6,2,3,4,1]=>[6,2,5,3,4,7,1]
[7,5,6,2,4,1,3]=>[6,2,4,5,1,7,3]
[7,5,6,2,4,3,1]=>[6,2,4,5,3,7,1]
[7,5,6,3,1,2,4]=>[6,3,5,1,7,2,4]
[7,5,6,3,1,4,2]=>[6,3,5,1,4,7,2]
[7,5,6,3,2,1,4]=>[6,3,5,2,7,1,4]
[7,5,6,3,2,4,1]=>[6,3,5,2,4,7,1]
[7,5,6,3,4,1,2]=>[6,3,4,5,1,7,2]
[7,5,6,3,4,2,1]=>[6,3,4,5,2,7,1]
[7,5,6,4,1,2,3]=>[4,6,1,5,2,7,3]
[7,5,6,4,1,3,2]=>[4,6,1,5,3,7,2]
[7,5,6,4,2,1,3]=>[4,6,2,5,1,7,3]
[7,5,6,4,2,3,1]=>[4,6,2,5,3,7,1]
[7,5,6,4,3,1,2]=>[4,6,3,5,1,7,2]
[7,5,6,4,3,2,1]=>[4,6,3,5,2,7,1]
[7,6,1,2,3,4,5]=>[6,1,7,2,3,4,5]
[7,6,1,2,3,5,4]=>[6,1,5,7,2,3,4]
[7,6,1,2,4,3,5]=>[6,1,4,7,2,3,5]
[7,6,1,2,4,5,3]=>[6,1,4,5,7,2,3]
[7,6,1,2,5,3,4]=>[5,6,1,7,2,3,4]
[7,6,1,2,5,4,3]=>[5,6,1,4,7,2,3]
[7,6,1,3,2,4,5]=>[6,1,3,7,2,4,5]
[7,6,1,3,2,5,4]=>[6,1,3,5,7,2,4]
[7,6,1,3,4,2,5]=>[6,1,3,4,7,2,5]
[7,6,1,3,4,5,2]=>[6,1,3,4,5,7,2]
[7,6,1,3,5,2,4]=>[5,6,1,3,7,2,4]
[7,6,1,3,5,4,2]=>[5,6,1,3,4,7,2]
[7,6,1,4,2,3,5]=>[4,6,1,7,2,3,5]
[7,6,1,4,2,5,3]=>[4,6,1,5,7,2,3]
[7,6,1,4,3,2,5]=>[4,6,1,3,7,2,5]
[7,6,1,4,3,5,2]=>[4,6,1,3,5,7,2]
[7,6,1,4,5,2,3]=>[4,5,6,1,7,2,3]
[7,6,1,4,5,3,2]=>[4,5,6,1,3,7,2]
[7,6,1,5,2,3,4]=>[5,1,6,2,3,7,4]
[7,6,1,5,2,4,3]=>[5,1,6,4,7,2,3]
[7,6,1,5,3,2,4]=>[5,1,3,6,2,7,4]
[7,6,1,5,3,4,2]=>[5,1,3,6,4,7,2]
[7,6,1,5,4,2,3]=>[5,4,6,1,7,2,3]
[7,6,1,5,4,3,2]=>[5,4,6,1,3,7,2]
[7,6,2,1,3,4,5]=>[6,2,7,1,3,4,5]
[7,6,2,1,3,5,4]=>[6,2,5,7,1,3,4]
[7,6,2,1,4,3,5]=>[6,2,4,7,1,3,5]
[7,6,2,1,4,5,3]=>[6,2,4,5,7,1,3]
[7,6,2,1,5,3,4]=>[5,6,2,7,1,3,4]
[7,6,2,1,5,4,3]=>[5,6,2,4,7,1,3]
[7,6,2,3,1,4,5]=>[6,2,3,7,1,4,5]
[7,6,2,3,1,5,4]=>[6,2,3,5,7,1,4]
[7,6,2,3,4,1,5]=>[6,2,3,4,7,1,5]
[7,6,2,3,4,5,1]=>[6,2,3,4,5,7,1]
[7,6,2,3,5,1,4]=>[5,6,2,3,7,1,4]
[7,6,2,3,5,4,1]=>[5,6,2,3,4,7,1]
[7,6,2,4,1,3,5]=>[4,6,2,7,1,3,5]
[7,6,2,4,1,5,3]=>[4,6,2,5,7,1,3]
[7,6,2,4,3,1,5]=>[4,6,2,3,7,1,5]
[7,6,2,4,3,5,1]=>[4,6,2,3,5,7,1]
[7,6,2,4,5,1,3]=>[4,5,6,2,7,1,3]
[7,6,2,4,5,3,1]=>[4,5,6,2,3,7,1]
[7,6,2,5,1,3,4]=>[5,2,6,1,3,7,4]
[7,6,2,5,1,4,3]=>[5,2,6,4,7,1,3]
[7,6,2,5,3,1,4]=>[5,2,3,6,1,7,4]
[7,6,2,5,3,4,1]=>[5,2,3,6,4,7,1]
[7,6,2,5,4,1,3]=>[5,4,6,2,7,1,3]
[7,6,2,5,4,3,1]=>[5,4,6,2,3,7,1]
[7,6,3,1,2,4,5]=>[3,6,1,7,2,4,5]
[7,6,3,1,2,5,4]=>[3,6,1,5,7,2,4]
[7,6,3,1,4,2,5]=>[3,6,1,4,7,2,5]
[7,6,3,1,4,5,2]=>[3,6,1,4,5,7,2]
[7,6,3,1,5,2,4]=>[3,5,6,1,7,2,4]
[7,6,3,1,5,4,2]=>[3,5,6,1,4,7,2]
[7,6,3,2,1,4,5]=>[3,6,2,7,1,4,5]
[7,6,3,2,1,5,4]=>[3,6,2,5,7,1,4]
[7,6,3,2,4,1,5]=>[3,6,2,4,7,1,5]
[7,6,3,2,4,5,1]=>[3,6,2,4,5,7,1]
[7,6,3,2,5,1,4]=>[3,5,6,2,7,1,4]
[7,6,3,2,5,4,1]=>[3,5,6,2,4,7,1]
[7,6,3,4,1,2,5]=>[3,4,6,1,7,2,5]
[7,6,3,4,1,5,2]=>[3,4,6,1,5,7,2]
[7,6,3,4,2,1,5]=>[3,4,6,2,7,1,5]
[7,6,3,4,2,5,1]=>[3,4,6,2,5,7,1]
[7,6,3,4,5,1,2]=>[3,4,5,6,1,7,2]
[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]
[7,6,3,5,1,2,4]=>[3,5,1,6,2,7,4]
[7,6,3,5,1,4,2]=>[3,5,1,6,4,7,2]
[7,6,3,5,2,1,4]=>[3,5,2,6,1,7,4]
[7,6,3,5,2,4,1]=>[3,5,2,6,4,7,1]
[7,6,3,5,4,1,2]=>[3,5,4,6,1,7,2]
[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]
[7,6,4,1,2,3,5]=>[4,1,6,2,7,3,5]
[7,6,4,1,2,5,3]=>[4,1,6,2,5,7,3]
[7,6,4,1,3,2,5]=>[4,1,6,3,7,2,5]
[7,6,4,1,3,5,2]=>[4,1,6,3,5,7,2]
[7,6,4,1,5,2,3]=>[4,1,5,6,2,7,3]
[7,6,4,1,5,3,2]=>[4,1,5,6,3,7,2]
[7,6,4,2,1,3,5]=>[4,2,6,1,7,3,5]
[7,6,4,2,1,5,3]=>[4,2,6,1,5,7,3]
[7,6,4,2,3,1,5]=>[4,2,6,3,7,1,5]
[7,6,4,2,3,5,1]=>[4,2,6,3,5,7,1]
[7,6,4,2,5,1,3]=>[4,2,5,6,1,7,3]
[7,6,4,2,5,3,1]=>[4,2,5,6,3,7,1]
[7,6,4,3,1,2,5]=>[4,3,6,1,7,2,5]
[7,6,4,3,1,5,2]=>[4,3,6,1,5,7,2]
[7,6,4,3,2,1,5]=>[4,3,6,2,7,1,5]
[7,6,4,3,2,5,1]=>[4,3,6,2,5,7,1]
[7,6,4,3,5,1,2]=>[4,3,5,6,1,7,2]
[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]
[7,6,4,5,1,2,3]=>[5,4,1,6,2,7,3]
[7,6,4,5,1,3,2]=>[5,4,1,6,3,7,2]
[7,6,4,5,2,1,3]=>[5,4,2,6,1,7,3]
[7,6,4,5,2,3,1]=>[5,4,2,6,3,7,1]
[7,6,4,5,3,1,2]=>[5,4,3,6,1,7,2]
[7,6,4,5,3,2,1]=>[5,4,3,6,2,7,1]
[7,6,5,1,2,3,4]=>[5,1,6,2,7,3,4]
[7,6,5,1,2,4,3]=>[5,1,6,2,4,7,3]
[7,6,5,1,3,2,4]=>[5,1,6,3,7,2,4]
[7,6,5,1,3,4,2]=>[5,1,6,3,4,7,2]
[7,6,5,1,4,2,3]=>[5,1,4,6,2,7,3]
[7,6,5,1,4,3,2]=>[5,1,4,6,3,7,2]
[7,6,5,2,1,3,4]=>[5,2,6,1,7,3,4]
[7,6,5,2,1,4,3]=>[5,2,6,1,4,7,3]
[7,6,5,2,3,1,4]=>[5,2,6,3,7,1,4]
[7,6,5,2,3,4,1]=>[5,2,6,3,4,7,1]
[7,6,5,2,4,1,3]=>[5,2,4,6,1,7,3]
[7,6,5,2,4,3,1]=>[5,2,4,6,3,7,1]
[7,6,5,3,1,2,4]=>[5,3,6,1,7,2,4]
[7,6,5,3,1,4,2]=>[5,3,6,1,4,7,2]
[7,6,5,3,2,1,4]=>[5,3,6,2,7,1,4]
[7,6,5,3,2,4,1]=>[5,3,6,2,4,7,1]
[7,6,5,3,4,1,2]=>[5,3,4,6,1,7,2]
[7,6,5,3,4,2,1]=>[5,3,4,6,2,7,1]
[7,6,5,4,1,2,3]=>[4,5,1,6,2,7,3]
[7,6,5,4,1,3,2]=>[4,5,1,6,3,7,2]
[7,6,5,4,2,1,3]=>[4,5,2,6,1,7,3]
[7,6,5,4,2,3,1]=>[4,5,2,6,3,7,1]
[7,6,5,4,3,1,2]=>[4,5,3,6,1,7,2]
[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]
[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]
[8,7,5,6,3,4,2,1]=>[6,3,5,4,7,2,8,1]
[8,6,7,5,4,2,3,1]=>[5,4,7,2,6,3,8,1]
[8,6,5,7,3,2,4,1]=>[7,3,5,2,6,4,8,1]
[8,5,6,7,2,3,4,1]=>[7,2,6,3,5,4,8,1]
[7,8,6,5,4,3,1,2]=>[5,4,6,3,8,1,7,2]
[7,8,5,6,3,4,1,2]=>[6,3,5,4,8,1,7,2]
[5,6,7,8,3,4,1,2]=>[8,3,7,4,6,1,5,2]
[7,8,3,4,5,6,1,2]=>[3,4,5,6,8,1,7,2]
[3,4,5,6,7,8,1,2]=>[8,1,7,6,5,4,3,2]
[7,6,8,5,4,2,1,3]=>[5,4,8,2,6,1,7,3]
[6,7,8,5,4,1,2,3]=>[5,4,8,1,7,2,6,3]
[7,6,5,8,3,2,1,4]=>[8,3,5,2,6,1,7,4]
[7,5,6,8,2,3,1,4]=>[8,2,6,3,5,1,7,4]
[6,7,5,8,3,1,2,4]=>[8,3,5,1,7,2,6,4]
[6,5,7,8,2,1,3,4]=>[8,2,7,1,5,3,6,4]
[7,8,5,6,1,2,3,4]=>[6,1,5,2,8,3,7,4]
[5,6,7,8,1,2,3,4]=>[8,1,7,2,6,3,5,4]
[7,8,1,2,3,4,5,6]=>[8,1,7,2,3,4,5,6]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]
[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]
[3,4,2,1,7,8,6,5]=>[4,2,3,1,8,6,7,5]
[2,4,3,1,7,6,8,5]=>[3,4,2,1,6,8,7,5]
[3,2,4,1,6,8,7,5]=>[2,4,3,1,7,8,6,5]
[2,3,4,1,6,7,8,5]=>[4,3,2,1,8,7,6,5]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,8,5]
[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]
[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]
[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]
[2,1,6,5,4,3,8,7]=>[2,1,5,4,6,3,8,7]
[4,3,2,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]
[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]
[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]
[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,8,3]
[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]
[6,3,2,5,4,1,8,7]=>[3,2,5,4,6,1,8,7]
[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,8,1]
[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]
[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]
[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]
[2,4,1,3,7,5,8,6]=>[4,2,1,3,8,7,5,6]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]
[2,4,5,6,7,1,8,3]=>[8,7,2,1,6,5,4,3]
[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]
[2,5,1,7,3,4,8,6]=>[8,7,2,1,3,5,4,6]
[2,1,5,7,3,8,4,6]=>[2,1,8,3,5,4,7,6]
[2,3,5,6,1,7,8,4]=>[8,7,6,3,2,1,5,4]
[2,6,7,1,3,4,8,5]=>[8,7,2,1,6,3,4,5]
[2,1,6,7,8,3,4,5]=>[2,1,8,3,7,4,6,5]
[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]
[3,1,4,2,6,8,5,7]=>[4,3,1,2,8,6,5,7]
[3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]
[3,5,1,6,2,4,8,7]=>[6,1,3,2,5,4,8,7]
[3,1,5,6,2,8,4,7]=>[8,6,3,1,2,5,4,7]
[3,5,1,7,2,8,4,6]=>[8,1,3,2,5,4,7,6]
[1,3,5,6,2,7,4,8]=>[1,7,6,3,2,5,4,8]
[3,6,7,1,2,8,4,5]=>[8,1,7,6,3,2,4,5]
[3,6,1,7,8,2,4,5]=>[8,1,3,2,7,4,6,5]
[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]
[4,5,6,1,2,3,8,7]=>[6,1,5,2,4,3,8,7]
[4,1,5,6,8,2,3,7]=>[8,1,2,6,5,4,3,7]
[4,5,7,1,2,8,3,6]=>[8,1,5,2,4,3,7,6]
[4,5,1,7,8,2,3,6]=>[8,1,7,5,4,2,3,6]
[1,4,5,6,7,2,3,8]=>[1,7,2,6,5,4,3,8]
[4,6,7,1,8,2,3,5]=>[8,1,7,2,4,3,6,5]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]
[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]
[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]
[1,5,2,7,3,4,6,8]=>[1,7,2,3,5,4,6,8]
[5,1,2,8,3,4,6,7]=>[8,1,2,3,5,4,6,7]
[1,6,7,2,3,4,5,8]=>[1,7,2,6,3,4,5,8]
[6,1,8,2,3,4,5,7]=>[8,1,2,6,3,4,5,7]
[5,3,2,6,1,4,8,7]=>[3,2,6,1,5,4,8,7]
[7,3,2,5,4,8,1,6]=>[3,2,5,4,8,1,7,6]
[8,4,5,2,3,7,6,1]=>[5,2,4,3,7,6,8,1]
[7,4,5,2,3,8,1,6]=>[5,2,4,3,8,1,7,6]
[6,4,5,2,3,1,8,7]=>[5,2,4,3,6,1,8,7]
[5,4,6,2,1,3,8,7]=>[6,2,4,1,5,3,8,7]
[3,6,1,5,4,2,8,7]=>[5,4,6,1,3,2,8,7]
[4,6,5,1,3,2,8,7]=>[5,1,6,3,4,2,8,7]
[5,6,4,3,1,2,8,7]=>[4,3,6,1,5,2,8,7]
[7,5,4,3,2,8,1,6]=>[4,3,5,2,8,1,7,6]
[8,6,4,3,7,2,5,1]=>[4,3,7,2,6,5,8,1]
[7,6,4,3,8,2,1,5]=>[4,3,8,2,6,1,7,5]
[6,7,4,3,8,1,2,5]=>[4,3,8,1,7,2,6,5]
[5,7,4,3,1,8,2,6]=>[4,3,8,1,5,2,7,6]
[4,7,5,1,3,8,2,6]=>[5,1,8,3,4,2,7,6]
[3,7,1,5,4,8,2,6]=>[5,4,8,1,3,2,7,6]
[2,1,7,5,4,8,3,6]=>[2,1,5,4,8,3,7,6]
[3,8,1,5,4,7,6,2]=>[5,4,7,6,8,1,3,2]
[4,8,5,1,3,7,6,2]=>[5,1,7,6,8,3,4,2]
[5,8,4,3,1,7,6,2]=>[4,3,7,6,8,1,5,2]
[6,8,4,3,7,1,5,2]=>[4,3,7,1,8,5,6,2]
[7,8,4,3,6,5,1,2]=>[4,3,6,5,8,1,7,2]
[6,8,5,7,3,1,4,2]=>[7,3,5,1,8,4,6,2]
[5,8,6,7,1,3,4,2]=>[7,1,6,3,8,4,5,2]
[4,8,6,1,7,3,5,2]=>[7,1,6,5,8,3,4,2]
[3,8,1,6,7,4,5,2]=>[7,4,6,5,8,1,3,2]
[2,1,8,6,7,4,5,3]=>[2,1,7,4,6,5,8,3]
[2,1,7,6,8,4,3,5]=>[2,1,8,4,6,3,7,5]
[3,7,1,6,8,4,2,5]=>[8,4,6,1,3,2,7,5]
[4,7,6,1,8,3,2,5]=>[8,1,6,3,4,2,7,5]
[5,7,6,8,1,3,2,4]=>[8,1,6,3,7,2,5,4]
[5,4,7,2,1,8,3,6]=>[8,2,4,1,5,3,7,6]
[6,4,7,2,8,1,3,5]=>[8,2,4,1,7,3,6,5]
[7,4,6,2,8,3,1,5]=>[8,2,4,3,6,1,7,5]
[8,4,6,2,7,3,5,1]=>[7,2,4,3,6,5,8,1]
[8,3,2,6,7,4,5,1]=>[3,2,7,4,6,5,8,1]
[7,3,2,6,8,4,1,5]=>[3,2,8,4,6,1,7,5]
[6,3,2,7,8,1,4,5]=>[3,2,8,1,7,4,6,5]
[5,3,2,7,1,8,4,6]=>[3,2,8,1,5,4,7,6]
[4,3,2,1,7,8,5,6]=>[3,2,4,1,8,5,7,6]
[3,4,1,2,8,7,6,5]=>[4,1,3,2,7,6,8,5]
[5,3,2,8,1,7,6,4]=>[3,2,7,6,8,1,5,4]
[6,3,2,8,7,1,5,4]=>[3,2,7,1,8,5,6,4]
[7,3,2,8,6,5,1,4]=>[3,2,6,5,8,1,7,4]
[8,4,7,2,6,5,3,1]=>[6,5,7,2,4,3,8,1]
[7,4,8,2,6,5,1,3]=>[6,5,8,2,4,1,7,3]
[6,4,8,2,7,1,5,3]=>[7,2,4,1,8,5,6,3]
[5,4,8,2,1,7,6,3]=>[7,6,8,2,4,1,5,3]
[4,5,8,1,2,7,6,3]=>[7,6,8,1,5,2,4,3]
[3,5,1,8,2,7,6,4]=>[7,6,8,1,3,2,5,4]
[2,1,5,8,3,7,6,4]=>[2,1,7,6,8,3,5,4]
[2,1,6,8,7,3,5,4]=>[2,1,7,3,8,5,6,4]
[3,6,1,8,7,2,5,4]=>[7,1,3,2,8,5,6,4]
[4,6,8,1,7,2,5,3]=>[7,1,8,5,6,2,4,3]
[5,6,8,7,1,2,4,3]=>[7,1,8,2,6,4,5,3]
[6,5,8,7,2,1,4,3]=>[7,2,8,1,5,4,6,3]
[7,5,8,6,2,4,1,3]=>[6,2,8,4,5,1,7,3]
[8,5,7,6,2,4,3,1]=>[6,2,7,4,5,3,8,1]
[5,7,8,6,1,4,2,3]=>[6,1,8,4,7,2,5,3]
[4,7,8,1,6,5,2,3]=>[6,5,8,1,7,2,4,3]
[3,7,1,8,6,5,2,4]=>[6,5,8,1,3,2,7,4]
[2,1,7,8,6,5,3,4]=>[2,1,6,5,8,3,7,4]
[3,8,1,7,6,5,4,2]=>[6,5,7,4,8,1,3,2]
[4,8,7,1,6,5,3,2]=>[6,5,7,1,8,3,4,2]
[5,8,7,6,1,4,3,2]=>[6,1,7,4,8,3,5,2]
[6,8,7,5,4,1,3,2]=>[5,4,7,1,8,3,6,2]
[6,3,8,1,2,7,4,5]=>[7,3,1,8,6,2,4,5]
[7,8,4,1,6,2,3,5]=>[4,1,6,2,8,3,7,5]
[6,5,8,7,3,4,1,2]=>[7,3,8,4,5,1,6,2]
[4,6,7,3,8,5,1,2]=>[8,5,7,3,6,1,4,2]
[3,6,7,4,5,8,1,2]=>[4,5,8,1,7,6,3,2]
[2,6,7,4,5,1,8,3]=>[4,5,8,7,2,1,6,3]
[1,6,7,4,5,2,3,8]=>[1,4,5,7,2,6,3,8]
[1,5,4,7,6,2,3,8]=>[1,6,4,2,7,5,3,8]
[2,5,4,7,6,1,8,3]=>[6,4,2,1,8,7,5,3]
[3,5,4,7,6,8,1,2]=>[8,6,4,1,7,5,3,2]
[4,5,3,7,8,6,1,2]=>[3,6,8,1,7,5,4,2]
[5,4,3,8,7,6,1,2]=>[3,6,7,4,1,8,5,2]
[6,4,8,3,7,5,1,2]=>[7,5,8,3,4,1,6,2]
[6,3,8,4,5,7,1,2]=>[4,5,7,3,1,8,6,2]
[5,3,4,8,6,7,1,2]=>[7,6,4,3,1,8,5,2]
[4,3,5,6,8,7,1,2]=>[7,3,1,8,6,5,4,2]
[3,2,5,6,1,8,7,4]=>[2,7,8,6,3,1,5,4]
[4,2,5,6,8,1,7,3]=>[2,7,8,1,6,5,4,3]
[5,2,4,8,6,1,7,3]=>[2,6,4,1,7,8,5,3]
[6,2,8,4,5,1,7,3]=>[2,4,5,7,8,1,6,3]
[7,8,2,4,5,1,6,3]=>[4,5,8,2,6,7,1,3]
[7,8,1,4,5,2,3,6]=>[4,5,8,1,7,2,3,6]
[6,1,8,4,5,2,3,7]=>[4,5,8,1,2,6,3,7]
[5,1,4,8,6,2,3,7]=>[6,4,1,2,8,5,3,7]
[4,1,3,2,8,6,5,7]=>[3,4,1,2,6,8,5,7]
[5,1,3,8,2,6,4,7]=>[3,6,8,1,2,5,4,7]
[6,1,8,3,2,5,4,7]=>[8,3,5,6,1,2,4,7]
[7,8,1,3,2,5,4,6]=>[8,1,3,5,7,2,4,6]
[7,8,2,3,1,5,6,4]=>[8,2,3,5,6,7,1,4]
[6,2,8,3,1,5,7,4]=>[2,7,8,3,5,6,1,4]
[5,2,3,8,1,6,7,4]=>[2,3,6,7,8,1,5,4]
[6,3,8,2,1,7,5,4]=>[7,3,2,5,8,6,1,4]
[7,8,3,2,1,6,5,4]=>[3,6,8,2,5,7,1,4]
[7,8,4,2,6,1,5,3]=>[4,2,6,1,8,5,7,3]
[5,4,2,8,7,1,6,3]=>[7,4,2,6,8,5,1,3]
[4,5,2,7,8,1,6,3]=>[8,2,6,7,5,4,1,3]
[3,5,2,7,1,8,6,4]=>[8,6,7,2,3,1,5,4]
[2,5,3,7,1,6,8,4]=>[3,6,8,7,2,1,5,4]
[1,5,3,7,2,6,4,8]=>[1,3,6,7,2,5,4,8]
[1,6,7,3,2,5,4,8]=>[1,7,3,5,6,2,4,8]
[2,6,7,3,1,5,8,4]=>[8,7,3,5,6,2,1,4]
[3,6,7,2,1,8,5,4]=>[8,2,5,7,6,3,1,4]
[4,6,7,2,8,1,5,3]=>[8,2,7,5,6,1,4,3]
[5,6,7,8,2,1,4,3]=>[8,2,7,1,6,4,5,3]
[7,8,5,6,2,1,4,3]=>[6,2,5,1,8,4,7,3]
[6,5,8,7,1,2,3,4]=>[7,1,8,2,5,3,6,4]
[5,4,1,8,7,2,3,6]=>[7,4,1,8,5,2,3,6]
[6,4,8,1,7,2,3,5]=>[7,1,4,2,8,3,6,5]
[7,8,3,1,2,6,4,5]=>[3,6,8,1,7,2,4,5]
[5,3,1,8,2,7,4,6]=>[3,1,7,2,5,4,8,6]
[4,3,1,2,8,7,5,6]=>[3,1,4,2,7,5,8,6]
[4,2,1,3,8,5,7,6]=>[2,4,1,3,7,8,5,6]
[5,2,1,8,3,4,7,6]=>[2,7,8,1,3,5,4,6]
[6,2,8,1,3,4,7,5]=>[2,7,8,1,6,3,4,5]
[7,8,2,1,3,4,6,5]=>[8,2,6,7,1,3,4,5]
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Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
This is the inverse of the map $\Phi$ in [1, sec.3].
References
[1] Clarke, R. J., Steingr'ımsson, E., Zeng, J. New Euler-Mahonian statistics on permutations and words MathSciNet:1436481
Properties
bijective, graded
Sage code
def mapping(tau): tau = Permutation(tau) if not tau: return tau f = sorted([i+1 for i in range(len(tau)) if tau[i] > i+1]) g = sorted([i+1 for i in range(len(tau)) if tau[i] <= i+1]) F = set(f) G = set(g) F1 = set([tau[i-1] for i in F]) G1 = set([tau[i-1] for i in G]) openers = F.intersection(G1) closers = G.intersection(F1) insider = F.intersection(F1) outside = G.intersection(G1) assert len(list(openers) + list(closers) + list(insider) + list(outside)) == len(tau) # embracing numbers of pi are side numbers of tau E = [] for i in range(len(tau)): if tau[i] > i+1: E.append(sum(1 for j in range(i) if tau[j] > tau[i])) else: E.append(sum(1 for j in range(i+1, len(tau)) if tau[j] < tau[i])) S = [] # Clarke's skeleton if 1 in outside: S.append([1]) elif 1 in openers: S.append([1, infinity]) tau_inv = tau.inverse() def find_open_block(e): i = len(S)-1 while True: if infinity in S[i]: if e == 0: assert i >= 0 return i e -= 1 i -= 1 for a in range(2, len(tau)+1): e = E[tau_inv[a-1]-1] if a in insider: i = find_open_block(e) S[i].append(a) elif a in closers: i = find_open_block(e) S[i].append(a) S[i].remove(infinity) elif a in outside: if e: i = find_open_block(e-1) else: i = len(S) S.insert(i, [a]) elif a in openers: if e: i = find_open_block(e-1) else: i = len(S) S.insert(i, [a, infinity]) return Permutation(sum((sorted(s, reverse=True) for s in S), []))
Weight
26
Created
Sep 21, 2021 at 12:09 by Martin Rubey
Updated
Sep 21, 2021 at 12:09 by Martin Rubey
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