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]=>[4,2,3,1]
[2,4,1,3]=>[4,2,1,3]
[2,4,3,1]=>[3,2,4,1]
[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]=>[4,3,2,1]
[3,4,1,2]=>[4,1,3,2]
[3,4,2,1]=>[2,4,3,1]
[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]=>[3,4,2,1]
[4,3,1,2]=>[3,1,4,2]
[4,3,2,1]=>[2,3,4,1]
[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]=>[1,5,3,4,2]
[1,3,5,2,4]=>[1,5,3,2,4]
[1,3,5,4,2]=>[1,4,3,5,2]
[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]=>[1,5,4,3,2]
[1,4,5,2,3]=>[1,5,2,4,3]
[1,4,5,3,2]=>[1,3,5,4,2]
[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]=>[1,4,5,3,2]
[1,5,4,2,3]=>[1,4,2,5,3]
[1,5,4,3,2]=>[1,3,4,5,2]
[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]=>[4,2,3,1,5]
[2,3,4,5,1]=>[5,2,3,4,1]
[2,3,5,1,4]=>[5,2,3,1,4]
[2,3,5,4,1]=>[4,2,3,5,1]
[2,4,1,3,5]=>[4,2,1,3,5]
[2,4,1,5,3]=>[5,2,4,1,3]
[2,4,3,1,5]=>[3,2,4,1,5]
[2,4,3,5,1]=>[5,2,4,3,1]
[2,4,5,1,3]=>[5,2,1,4,3]
[2,4,5,3,1]=>[3,2,5,4,1]
[2,5,1,3,4]=>[5,2,1,3,4]
[2,5,1,4,3]=>[4,2,5,1,3]
[2,5,3,1,4]=>[3,2,5,1,4]
[2,5,3,4,1]=>[4,2,5,3,1]
[2,5,4,1,3]=>[4,2,1,5,3]
[2,5,4,3,1]=>[3,2,4,5,1]
[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]=>[5,3,1,4,2]
[3,1,5,2,4]=>[5,3,1,2,4]
[3,1,5,4,2]=>[4,3,1,5,2]
[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]=>[4,3,2,1,5]
[3,2,4,5,1]=>[5,3,2,4,1]
[3,2,5,1,4]=>[5,3,2,1,4]
[3,2,5,4,1]=>[4,3,2,5,1]
[3,4,1,2,5]=>[4,1,3,2,5]
[3,4,1,5,2]=>[5,4,3,1,2]
[3,4,2,1,5]=>[2,4,3,1,5]
[3,4,2,5,1]=>[5,4,3,2,1]
[3,4,5,1,2]=>[5,1,3,4,2]
[3,4,5,2,1]=>[2,5,3,4,1]
[3,5,1,2,4]=>[5,1,3,2,4]
[3,5,1,4,2]=>[4,5,3,1,2]
[3,5,2,1,4]=>[2,5,3,1,4]
[3,5,2,4,1]=>[4,5,3,2,1]
[3,5,4,1,2]=>[4,1,3,5,2]
[3,5,4,2,1]=>[2,4,3,5,1]
[4,1,2,3,5]=>[4,1,2,3,5]
[4,1,2,5,3]=>[5,1,4,2,3]
[4,1,3,2,5]=>[3,4,1,2,5]
[4,1,3,5,2]=>[5,4,1,3,2]
[4,1,5,2,3]=>[5,4,1,2,3]
[4,1,5,3,2]=>[3,5,4,1,2]
[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]=>[3,4,2,1,5]
[4,2,3,5,1]=>[5,4,2,3,1]
[4,2,5,1,3]=>[5,4,2,1,3]
[4,2,5,3,1]=>[3,5,4,2,1]
[4,3,1,2,5]=>[3,1,4,2,5]
[4,3,1,5,2]=>[5,3,4,1,2]
[4,3,2,1,5]=>[2,3,4,1,5]
[4,3,2,5,1]=>[5,3,4,2,1]
[4,3,5,1,2]=>[5,1,4,3,2]
[4,3,5,2,1]=>[2,5,4,3,1]
[4,5,1,2,3]=>[5,1,2,4,3]
[4,5,1,3,2]=>[3,5,1,4,2]
[4,5,2,1,3]=>[2,5,1,4,3]
[4,5,2,3,1]=>[3,5,2,4,1]
[4,5,3,1,2]=>[3,1,5,4,2]
[4,5,3,2,1]=>[2,3,5,4,1]
[5,1,2,3,4]=>[5,1,2,3,4]
[5,1,2,4,3]=>[4,1,5,2,3]
[5,1,3,2,4]=>[3,5,1,2,4]
[5,1,3,4,2]=>[4,5,1,3,2]
[5,1,4,2,3]=>[4,5,1,2,3]
[5,1,4,3,2]=>[3,4,5,1,2]
[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]=>[3,5,2,1,4]
[5,2,3,4,1]=>[4,5,2,3,1]
[5,2,4,1,3]=>[4,5,2,1,3]
[5,2,4,3,1]=>[3,4,5,2,1]
[5,3,1,2,4]=>[3,1,5,2,4]
[5,3,1,4,2]=>[4,3,5,1,2]
[5,3,2,1,4]=>[2,3,5,1,4]
[5,3,2,4,1]=>[4,3,5,2,1]
[5,3,4,1,2]=>[4,1,5,3,2]
[5,3,4,2,1]=>[2,4,5,3,1]
[5,4,1,2,3]=>[4,1,2,5,3]
[5,4,1,3,2]=>[3,4,1,5,2]
[5,4,2,1,3]=>[2,4,1,5,3]
[5,4,2,3,1]=>[3,4,2,5,1]
[5,4,3,1,2]=>[3,1,4,5,2]
[5,4,3,2,1]=>[2,3,4,5,1]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[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]=>[1,2,6,4,5,3]
[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[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]=>[1,2,6,5,4,3]
[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[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]=>[1,2,5,6,4,3]
[1,2,6,5,3,4]=>[1,2,5,3,6,4]
[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[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]=>[1,5,3,4,2,6]
[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[1,3,5,2,6,4]=>[1,6,3,5,2,4]
[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[1,3,6,2,5,4]=>[1,5,3,6,2,4]
[1,3,6,4,2,5]=>[1,4,3,6,2,5]
[1,3,6,4,5,2]=>[1,5,3,6,4,2]
[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[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]=>[1,6,4,2,5,3]
[1,4,2,6,3,5]=>[1,6,4,2,3,5]
[1,4,2,6,5,3]=>[1,5,4,2,6,3]
[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]=>[1,5,4,3,2,6]
[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[1,4,3,6,5,2]=>[1,5,4,3,6,2]
[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[1,4,5,2,6,3]=>[1,6,5,4,2,3]
[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[1,4,6,2,5,3]=>[1,5,6,4,2,3]
[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[1,4,6,5,2,3]=>[1,5,2,4,6,3]
[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[1,5,2,3,6,4]=>[1,6,2,5,3,4]
[1,5,2,4,3,6]=>[1,4,5,2,3,6]
[1,5,2,4,6,3]=>[1,6,5,2,4,3]
[1,5,2,6,3,4]=>[1,6,5,2,3,4]
[1,5,2,6,4,3]=>[1,4,6,5,2,3]
[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]=>[1,4,5,3,2,6]
[1,5,3,4,6,2]=>[1,6,5,3,4,2]
[1,5,3,6,2,4]=>[1,6,5,3,2,4]
[1,5,3,6,4,2]=>[1,4,6,5,3,2]
[1,5,4,2,3,6]=>[1,4,2,5,3,6]
[1,5,4,2,6,3]=>[1,6,4,5,2,3]
[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[1,5,4,6,2,3]=>[1,6,2,5,4,3]
[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[1,5,6,2,3,4]=>[1,6,2,3,5,4]
[1,5,6,2,4,3]=>[1,4,6,2,5,3]
[1,5,6,3,2,4]=>[1,3,6,2,5,4]
[1,5,6,3,4,2]=>[1,4,6,3,5,2]
[1,5,6,4,2,3]=>[1,4,2,6,5,3]
[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[1,6,2,3,5,4]=>[1,5,2,6,3,4]
[1,6,2,4,3,5]=>[1,4,6,2,3,5]
[1,6,2,4,5,3]=>[1,5,6,2,4,3]
[1,6,2,5,3,4]=>[1,5,6,2,3,4]
[1,6,2,5,4,3]=>[1,4,5,6,2,3]
[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]=>[1,4,6,3,2,5]
[1,6,3,4,5,2]=>[1,5,6,3,4,2]
[1,6,3,5,2,4]=>[1,5,6,3,2,4]
[1,6,3,5,4,2]=>[1,4,5,6,3,2]
[1,6,4,2,3,5]=>[1,4,2,6,3,5]
[1,6,4,2,5,3]=>[1,5,4,6,2,3]
[1,6,4,3,2,5]=>[1,3,4,6,2,5]
[1,6,4,3,5,2]=>[1,5,4,6,3,2]
[1,6,4,5,2,3]=>[1,5,2,6,4,3]
[1,6,4,5,3,2]=>[1,3,5,6,4,2]
[1,6,5,2,3,4]=>[1,5,2,3,6,4]
[1,6,5,2,4,3]=>[1,4,5,2,6,3]
[1,6,5,3,2,4]=>[1,3,5,2,6,4]
[1,6,5,3,4,2]=>[1,4,5,3,6,2]
[1,6,5,4,2,3]=>[1,4,2,5,6,3]
[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[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]=>[2,1,6,4,5,3]
[2,1,4,6,3,5]=>[2,1,6,4,3,5]
[2,1,4,6,5,3]=>[2,1,5,4,6,3]
[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]=>[2,1,6,5,4,3]
[2,1,5,6,3,4]=>[2,1,6,3,5,4]
[2,1,5,6,4,3]=>[2,1,4,6,5,3]
[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]=>[2,1,5,6,4,3]
[2,1,6,5,3,4]=>[2,1,5,3,6,4]
[2,1,6,5,4,3]=>[2,1,4,5,6,3]
[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]=>[4,2,3,1,5,6]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]
[2,3,4,5,6,1]=>[6,2,3,4,5,1]
[2,3,4,6,1,5]=>[6,2,3,4,1,5]
[2,3,4,6,5,1]=>[5,2,3,4,6,1]
[2,3,5,1,4,6]=>[5,2,3,1,4,6]
[2,3,5,1,6,4]=>[6,2,3,5,1,4]
[2,3,5,4,1,6]=>[4,2,3,5,1,6]
[2,3,5,4,6,1]=>[6,2,3,5,4,1]
[2,3,5,6,1,4]=>[6,2,3,1,5,4]
[2,3,5,6,4,1]=>[4,2,3,6,5,1]
[2,3,6,1,4,5]=>[6,2,3,1,4,5]
[2,3,6,1,5,4]=>[5,2,3,6,1,4]
[2,3,6,4,1,5]=>[4,2,3,6,1,5]
[2,3,6,4,5,1]=>[5,2,3,6,4,1]
[2,3,6,5,1,4]=>[5,2,3,1,6,4]
[2,3,6,5,4,1]=>[4,2,3,5,6,1]
[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]=>[5,2,4,1,3,6]
[2,4,1,5,6,3]=>[6,2,4,1,5,3]
[2,4,1,6,3,5]=>[6,2,4,1,3,5]
[2,4,1,6,5,3]=>[5,2,4,1,6,3]
[2,4,3,1,5,6]=>[3,2,4,1,5,6]
[2,4,3,1,6,5]=>[3,2,4,1,6,5]
[2,4,3,5,1,6]=>[5,2,4,3,1,6]
[2,4,3,5,6,1]=>[6,2,4,3,5,1]
[2,4,3,6,1,5]=>[6,2,4,3,1,5]
[2,4,3,6,5,1]=>[5,2,4,3,6,1]
[2,4,5,1,3,6]=>[5,2,1,4,3,6]
[2,4,5,1,6,3]=>[6,2,5,4,1,3]
[2,4,5,3,1,6]=>[3,2,5,4,1,6]
[2,4,5,3,6,1]=>[6,2,5,4,3,1]
[2,4,5,6,1,3]=>[6,2,1,4,5,3]
[2,4,5,6,3,1]=>[3,2,6,4,5,1]
[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[2,4,6,1,5,3]=>[5,2,6,4,1,3]
[2,4,6,3,1,5]=>[3,2,6,4,1,5]
[2,4,6,3,5,1]=>[5,2,6,4,3,1]
[2,4,6,5,1,3]=>[5,2,1,4,6,3]
[2,4,6,5,3,1]=>[3,2,5,4,6,1]
[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[2,5,1,3,6,4]=>[6,2,1,5,3,4]
[2,5,1,4,3,6]=>[4,2,5,1,3,6]
[2,5,1,4,6,3]=>[6,2,5,1,4,3]
[2,5,1,6,3,4]=>[6,2,5,1,3,4]
[2,5,1,6,4,3]=>[4,2,6,5,1,3]
[2,5,3,1,4,6]=>[3,2,5,1,4,6]
[2,5,3,1,6,4]=>[3,2,6,5,1,4]
[2,5,3,4,1,6]=>[4,2,5,3,1,6]
[2,5,3,4,6,1]=>[6,2,5,3,4,1]
[2,5,3,6,1,4]=>[6,2,5,3,1,4]
[2,5,3,6,4,1]=>[4,2,6,5,3,1]
[2,5,4,1,3,6]=>[4,2,1,5,3,6]
[2,5,4,1,6,3]=>[6,2,4,5,1,3]
[2,5,4,3,1,6]=>[3,2,4,5,1,6]
[2,5,4,3,6,1]=>[6,2,4,5,3,1]
[2,5,4,6,1,3]=>[6,2,1,5,4,3]
[2,5,4,6,3,1]=>[3,2,6,5,4,1]
[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[2,5,6,1,4,3]=>[4,2,6,1,5,3]
[2,5,6,3,1,4]=>[3,2,6,1,5,4]
[2,5,6,3,4,1]=>[4,2,6,3,5,1]
[2,5,6,4,1,3]=>[4,2,1,6,5,3]
[2,5,6,4,3,1]=>[3,2,4,6,5,1]
[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[2,6,1,3,5,4]=>[5,2,1,6,3,4]
[2,6,1,4,3,5]=>[4,2,6,1,3,5]
[2,6,1,4,5,3]=>[5,2,6,1,4,3]
[2,6,1,5,3,4]=>[5,2,6,1,3,4]
[2,6,1,5,4,3]=>[4,2,5,6,1,3]
[2,6,3,1,4,5]=>[3,2,6,1,4,5]
[2,6,3,1,5,4]=>[3,2,5,6,1,4]
[2,6,3,4,1,5]=>[4,2,6,3,1,5]
[2,6,3,4,5,1]=>[5,2,6,3,4,1]
[2,6,3,5,1,4]=>[5,2,6,3,1,4]
[2,6,3,5,4,1]=>[4,2,5,6,3,1]
[2,6,4,1,3,5]=>[4,2,1,6,3,5]
[2,6,4,1,5,3]=>[5,2,4,6,1,3]
[2,6,4,3,1,5]=>[3,2,4,6,1,5]
[2,6,4,3,5,1]=>[5,2,4,6,3,1]
[2,6,4,5,1,3]=>[5,2,1,6,4,3]
[2,6,4,5,3,1]=>[3,2,5,6,4,1]
[2,6,5,1,3,4]=>[5,2,1,3,6,4]
[2,6,5,1,4,3]=>[4,2,5,1,6,3]
[2,6,5,3,1,4]=>[3,2,5,1,6,4]
[2,6,5,3,4,1]=>[4,2,5,3,6,1]
[2,6,5,4,1,3]=>[4,2,1,5,6,3]
[2,6,5,4,3,1]=>[3,2,4,5,6,1]
[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]=>[5,3,1,4,2,6]
[3,1,4,5,6,2]=>[6,3,1,4,5,2]
[3,1,4,6,2,5]=>[6,3,1,4,2,5]
[3,1,4,6,5,2]=>[5,3,1,4,6,2]
[3,1,5,2,4,6]=>[5,3,1,2,4,6]
[3,1,5,2,6,4]=>[6,3,1,5,2,4]
[3,1,5,4,2,6]=>[4,3,1,5,2,6]
[3,1,5,4,6,2]=>[6,3,1,5,4,2]
[3,1,5,6,2,4]=>[6,3,1,2,5,4]
[3,1,5,6,4,2]=>[4,3,1,6,5,2]
[3,1,6,2,4,5]=>[6,3,1,2,4,5]
[3,1,6,2,5,4]=>[5,3,1,6,2,4]
[3,1,6,4,2,5]=>[4,3,1,6,2,5]
[3,1,6,4,5,2]=>[5,3,1,6,4,2]
[3,1,6,5,2,4]=>[5,3,1,2,6,4]
[3,1,6,5,4,2]=>[4,3,1,5,6,2]
[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]=>[4,3,2,1,5,6]
[3,2,4,1,6,5]=>[4,3,2,1,6,5]
[3,2,4,5,1,6]=>[5,3,2,4,1,6]
[3,2,4,5,6,1]=>[6,3,2,4,5,1]
[3,2,4,6,1,5]=>[6,3,2,4,1,5]
[3,2,4,6,5,1]=>[5,3,2,4,6,1]
[3,2,5,1,4,6]=>[5,3,2,1,4,6]
[3,2,5,1,6,4]=>[6,3,2,5,1,4]
[3,2,5,4,1,6]=>[4,3,2,5,1,6]
[3,2,5,4,6,1]=>[6,3,2,5,4,1]
[3,2,5,6,1,4]=>[6,3,2,1,5,4]
[3,2,5,6,4,1]=>[4,3,2,6,5,1]
[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[3,2,6,1,5,4]=>[5,3,2,6,1,4]
[3,2,6,4,1,5]=>[4,3,2,6,1,5]
[3,2,6,4,5,1]=>[5,3,2,6,4,1]
[3,2,6,5,1,4]=>[5,3,2,1,6,4]
[3,2,6,5,4,1]=>[4,3,2,5,6,1]
[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]=>[5,4,3,1,2,6]
[3,4,1,5,6,2]=>[6,4,3,1,5,2]
[3,4,1,6,2,5]=>[6,4,3,1,2,5]
[3,4,1,6,5,2]=>[5,4,3,1,6,2]
[3,4,2,1,5,6]=>[2,4,3,1,5,6]
[3,4,2,1,6,5]=>[2,4,3,1,6,5]
[3,4,2,5,1,6]=>[5,4,3,2,1,6]
[3,4,2,5,6,1]=>[6,4,3,2,5,1]
[3,4,2,6,1,5]=>[6,4,3,2,1,5]
[3,4,2,6,5,1]=>[5,4,3,2,6,1]
[3,4,5,1,2,6]=>[5,1,3,4,2,6]
[3,4,5,1,6,2]=>[6,5,3,4,1,2]
[3,4,5,2,1,6]=>[2,5,3,4,1,6]
[3,4,5,2,6,1]=>[6,5,3,4,2,1]
[3,4,5,6,1,2]=>[6,1,3,4,5,2]
[3,4,5,6,2,1]=>[2,6,3,4,5,1]
[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[3,4,6,1,5,2]=>[5,6,3,4,1,2]
[3,4,6,2,1,5]=>[2,6,3,4,1,5]
[3,4,6,2,5,1]=>[5,6,3,4,2,1]
[3,4,6,5,1,2]=>[5,1,3,4,6,2]
[3,4,6,5,2,1]=>[2,5,3,4,6,1]
[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[3,5,1,2,6,4]=>[6,1,3,5,2,4]
[3,5,1,4,2,6]=>[4,5,3,1,2,6]
[3,5,1,4,6,2]=>[6,5,3,1,4,2]
[3,5,1,6,2,4]=>[6,5,3,1,2,4]
[3,5,1,6,4,2]=>[4,6,3,5,1,2]
[3,5,2,1,4,6]=>[2,5,3,1,4,6]
[3,5,2,1,6,4]=>[2,6,3,5,1,4]
[3,5,2,4,1,6]=>[4,5,3,2,1,6]
[3,5,2,4,6,1]=>[6,5,3,2,4,1]
[3,5,2,6,1,4]=>[6,5,3,2,1,4]
[3,5,2,6,4,1]=>[4,6,3,5,2,1]
[3,5,4,1,2,6]=>[4,1,3,5,2,6]
[3,5,4,1,6,2]=>[6,4,3,5,1,2]
[3,5,4,2,1,6]=>[2,4,3,5,1,6]
[3,5,4,2,6,1]=>[6,4,3,5,2,1]
[3,5,4,6,1,2]=>[6,1,3,5,4,2]
[3,5,4,6,2,1]=>[2,6,3,5,4,1]
[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[3,5,6,1,4,2]=>[4,6,3,1,5,2]
[3,5,6,2,1,4]=>[2,6,3,1,5,4]
[3,5,6,2,4,1]=>[4,6,3,2,5,1]
[3,5,6,4,1,2]=>[4,1,3,6,5,2]
[3,5,6,4,2,1]=>[2,4,3,6,5,1]
[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[3,6,1,2,5,4]=>[5,1,3,6,2,4]
[3,6,1,4,2,5]=>[4,6,3,1,2,5]
[3,6,1,4,5,2]=>[5,6,3,1,4,2]
[3,6,1,5,2,4]=>[5,6,3,1,2,4]
[3,6,1,5,4,2]=>[4,5,3,6,1,2]
[3,6,2,1,4,5]=>[2,6,3,1,4,5]
[3,6,2,1,5,4]=>[2,5,3,6,1,4]
[3,6,2,4,1,5]=>[4,6,3,2,1,5]
[3,6,2,4,5,1]=>[5,6,3,2,4,1]
[3,6,2,5,1,4]=>[5,6,3,2,1,4]
[3,6,2,5,4,1]=>[4,5,3,6,2,1]
[3,6,4,1,2,5]=>[4,1,3,6,2,5]
[3,6,4,1,5,2]=>[5,4,3,6,1,2]
[3,6,4,2,1,5]=>[2,4,3,6,1,5]
[3,6,4,2,5,1]=>[5,4,3,6,2,1]
[3,6,4,5,1,2]=>[5,1,3,6,4,2]
[3,6,4,5,2,1]=>[2,5,3,6,4,1]
[3,6,5,1,2,4]=>[5,1,3,2,6,4]
[3,6,5,1,4,2]=>[4,5,3,1,6,2]
[3,6,5,2,1,4]=>[2,5,3,1,6,4]
[3,6,5,2,4,1]=>[4,5,3,2,6,1]
[3,6,5,4,1,2]=>[4,1,3,5,6,2]
[3,6,5,4,2,1]=>[2,4,3,5,6,1]
[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]=>[5,1,4,2,3,6]
[4,1,2,5,6,3]=>[6,1,4,2,5,3]
[4,1,2,6,3,5]=>[6,1,4,2,3,5]
[4,1,2,6,5,3]=>[5,1,4,2,6,3]
[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]=>[5,4,1,3,2,6]
[4,1,3,5,6,2]=>[6,4,1,3,5,2]
[4,1,3,6,2,5]=>[6,4,1,3,2,5]
[4,1,3,6,5,2]=>[5,4,1,3,6,2]
[4,1,5,2,3,6]=>[5,4,1,2,3,6]
[4,1,5,2,6,3]=>[6,5,4,1,2,3]
[4,1,5,3,2,6]=>[3,5,4,1,2,6]
[4,1,5,3,6,2]=>[6,5,4,1,3,2]
[4,1,5,6,2,3]=>[6,4,1,2,5,3]
[4,1,5,6,3,2]=>[3,6,4,1,5,2]
[4,1,6,2,3,5]=>[6,4,1,2,3,5]
[4,1,6,2,5,3]=>[5,6,4,1,2,3]
[4,1,6,3,2,5]=>[3,6,4,1,2,5]
[4,1,6,3,5,2]=>[5,6,4,1,3,2]
[4,1,6,5,2,3]=>[5,4,1,2,6,3]
[4,1,6,5,3,2]=>[3,5,4,1,6,2]
[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]=>[2,6,4,1,5,3]
[4,2,1,6,3,5]=>[2,6,4,1,3,5]
[4,2,1,6,5,3]=>[2,5,4,1,6,3]
[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[4,2,3,1,6,5]=>[3,4,2,1,6,5]
[4,2,3,5,1,6]=>[5,4,2,3,1,6]
[4,2,3,5,6,1]=>[6,4,2,3,5,1]
[4,2,3,6,1,5]=>[6,4,2,3,1,5]
[4,2,3,6,5,1]=>[5,4,2,3,6,1]
[4,2,5,1,3,6]=>[5,4,2,1,3,6]
[4,2,5,1,6,3]=>[6,5,4,2,1,3]
[4,2,5,3,1,6]=>[3,5,4,2,1,6]
[4,2,5,3,6,1]=>[6,5,4,2,3,1]
[4,2,5,6,1,3]=>[6,4,2,1,5,3]
[4,2,5,6,3,1]=>[3,6,4,2,5,1]
[4,2,6,1,3,5]=>[6,4,2,1,3,5]
[4,2,6,1,5,3]=>[5,6,4,2,1,3]
[4,2,6,3,1,5]=>[3,6,4,2,1,5]
[4,2,6,3,5,1]=>[5,6,4,2,3,1]
[4,2,6,5,1,3]=>[5,4,2,1,6,3]
[4,2,6,5,3,1]=>[3,5,4,2,6,1]
[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]=>[5,3,4,1,2,6]
[4,3,1,5,6,2]=>[6,3,4,1,5,2]
[4,3,1,6,2,5]=>[6,3,4,1,2,5]
[4,3,1,6,5,2]=>[5,3,4,1,6,2]
[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[4,3,2,1,6,5]=>[2,3,4,1,6,5]
[4,3,2,5,1,6]=>[5,3,4,2,1,6]
[4,3,2,5,6,1]=>[6,3,4,2,5,1]
[4,3,2,6,1,5]=>[6,3,4,2,1,5]
[4,3,2,6,5,1]=>[5,3,4,2,6,1]
[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[4,3,5,1,6,2]=>[6,5,4,3,1,2]
[4,3,5,2,1,6]=>[2,5,4,3,1,6]
[4,3,5,2,6,1]=>[6,5,4,3,2,1]
[4,3,5,6,1,2]=>[6,1,4,3,5,2]
[4,3,5,6,2,1]=>[2,6,4,3,5,1]
[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[4,3,6,1,5,2]=>[5,6,4,3,1,2]
[4,3,6,2,1,5]=>[2,6,4,3,1,5]
[4,3,6,2,5,1]=>[5,6,4,3,2,1]
[4,3,6,5,1,2]=>[5,1,4,3,6,2]
[4,3,6,5,2,1]=>[2,5,4,3,6,1]
[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[4,5,1,2,6,3]=>[6,1,5,4,2,3]
[4,5,1,3,2,6]=>[3,5,1,4,2,6]
[4,5,1,3,6,2]=>[6,5,1,4,3,2]
[4,5,1,6,2,3]=>[6,5,1,4,2,3]
[4,5,1,6,3,2]=>[3,6,5,4,1,2]
[4,5,2,1,3,6]=>[2,5,1,4,3,6]
[4,5,2,1,6,3]=>[2,6,5,4,1,3]
[4,5,2,3,1,6]=>[3,5,2,4,1,6]
[4,5,2,3,6,1]=>[6,5,2,4,3,1]
[4,5,2,6,1,3]=>[6,5,2,4,1,3]
[4,5,2,6,3,1]=>[3,6,5,4,2,1]
[4,5,3,1,2,6]=>[3,1,5,4,2,6]
[4,5,3,1,6,2]=>[6,3,5,4,1,2]
[4,5,3,2,1,6]=>[2,3,5,4,1,6]
[4,5,3,2,6,1]=>[6,3,5,4,2,1]
[4,5,3,6,1,2]=>[6,1,5,4,3,2]
[4,5,3,6,2,1]=>[2,6,5,4,3,1]
[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[4,5,6,1,3,2]=>[3,6,1,4,5,2]
[4,5,6,2,1,3]=>[2,6,1,4,5,3]
[4,5,6,2,3,1]=>[3,6,2,4,5,1]
[4,5,6,3,1,2]=>[3,1,6,4,5,2]
[4,5,6,3,2,1]=>[2,3,6,4,5,1]
[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[4,6,1,2,5,3]=>[5,1,6,4,2,3]
[4,6,1,3,2,5]=>[3,6,1,4,2,5]
[4,6,1,3,5,2]=>[5,6,1,4,3,2]
[4,6,1,5,2,3]=>[5,6,1,4,2,3]
[4,6,1,5,3,2]=>[3,5,6,4,1,2]
[4,6,2,1,3,5]=>[2,6,1,4,3,5]
[4,6,2,1,5,3]=>[2,5,6,4,1,3]
[4,6,2,3,1,5]=>[3,6,2,4,1,5]
[4,6,2,3,5,1]=>[5,6,2,4,3,1]
[4,6,2,5,1,3]=>[5,6,2,4,1,3]
[4,6,2,5,3,1]=>[3,5,6,4,2,1]
[4,6,3,1,2,5]=>[3,1,6,4,2,5]
[4,6,3,1,5,2]=>[5,3,6,4,1,2]
[4,6,3,2,1,5]=>[2,3,6,4,1,5]
[4,6,3,2,5,1]=>[5,3,6,4,2,1]
[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[4,6,3,5,2,1]=>[2,5,6,4,3,1]
[4,6,5,1,2,3]=>[5,1,2,4,6,3]
[4,6,5,1,3,2]=>[3,5,1,4,6,2]
[4,6,5,2,1,3]=>[2,5,1,4,6,3]
[4,6,5,2,3,1]=>[3,5,2,4,6,1]
[4,6,5,3,1,2]=>[3,1,5,4,6,2]
[4,6,5,3,2,1]=>[2,3,5,4,6,1]
[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[5,1,2,3,6,4]=>[6,1,2,5,3,4]
[5,1,2,4,3,6]=>[4,1,5,2,3,6]
[5,1,2,4,6,3]=>[6,1,5,2,4,3]
[5,1,2,6,3,4]=>[6,1,5,2,3,4]
[5,1,2,6,4,3]=>[4,1,6,5,2,3]
[5,1,3,2,4,6]=>[3,5,1,2,4,6]
[5,1,3,2,6,4]=>[3,6,1,5,2,4]
[5,1,3,4,2,6]=>[4,5,1,3,2,6]
[5,1,3,4,6,2]=>[6,5,1,3,4,2]
[5,1,3,6,2,4]=>[6,5,1,3,2,4]
[5,1,3,6,4,2]=>[4,6,1,5,3,2]
[5,1,4,2,3,6]=>[4,5,1,2,3,6]
[5,1,4,2,6,3]=>[6,4,5,1,2,3]
[5,1,4,3,2,6]=>[3,4,5,1,2,6]
[5,1,4,3,6,2]=>[6,4,5,1,3,2]
[5,1,4,6,2,3]=>[6,5,1,2,4,3]
[5,1,4,6,3,2]=>[3,6,5,1,4,2]
[5,1,6,2,3,4]=>[6,5,1,2,3,4]
[5,1,6,2,4,3]=>[4,6,5,1,2,3]
[5,1,6,3,2,4]=>[3,6,5,1,2,4]
[5,1,6,3,4,2]=>[4,6,5,1,3,2]
[5,1,6,4,2,3]=>[4,6,1,5,2,3]
[5,1,6,4,3,2]=>[3,4,6,5,1,2]
[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[5,2,1,3,6,4]=>[2,6,1,5,3,4]
[5,2,1,4,3,6]=>[2,4,5,1,3,6]
[5,2,1,4,6,3]=>[2,6,5,1,4,3]
[5,2,1,6,3,4]=>[2,6,5,1,3,4]
[5,2,1,6,4,3]=>[2,4,6,5,1,3]
[5,2,3,1,4,6]=>[3,5,2,1,4,6]
[5,2,3,1,6,4]=>[3,6,2,5,1,4]
[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[5,2,3,4,6,1]=>[6,5,2,3,4,1]
[5,2,3,6,1,4]=>[6,5,2,3,1,4]
[5,2,3,6,4,1]=>[4,6,2,5,3,1]
[5,2,4,1,3,6]=>[4,5,2,1,3,6]
[5,2,4,1,6,3]=>[6,4,5,2,1,3]
[5,2,4,3,1,6]=>[3,4,5,2,1,6]
[5,2,4,3,6,1]=>[6,4,5,2,3,1]
[5,2,4,6,1,3]=>[6,5,2,1,4,3]
[5,2,4,6,3,1]=>[3,6,5,2,4,1]
[5,2,6,1,3,4]=>[6,5,2,1,3,4]
[5,2,6,1,4,3]=>[4,6,5,2,1,3]
[5,2,6,3,1,4]=>[3,6,5,2,1,4]
[5,2,6,3,4,1]=>[4,6,5,2,3,1]
[5,2,6,4,1,3]=>[4,6,2,5,1,3]
[5,2,6,4,3,1]=>[3,4,6,5,2,1]
[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]=>[4,3,5,1,2,6]
[5,3,1,4,6,2]=>[6,3,5,1,4,2]
[5,3,1,6,2,4]=>[6,3,5,1,2,4]
[5,3,1,6,4,2]=>[4,3,6,5,1,2]
[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[5,3,2,1,6,4]=>[2,3,6,5,1,4]
[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[5,3,2,4,6,1]=>[6,3,5,2,4,1]
[5,3,2,6,1,4]=>[6,3,5,2,1,4]
[5,3,2,6,4,1]=>[4,3,6,5,2,1]
[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[5,3,4,1,6,2]=>[6,4,5,3,1,2]
[5,3,4,2,1,6]=>[2,4,5,3,1,6]
[5,3,4,2,6,1]=>[6,4,5,3,2,1]
[5,3,4,6,1,2]=>[6,1,5,3,4,2]
[5,3,4,6,2,1]=>[2,6,5,3,4,1]
[5,3,6,1,2,4]=>[6,1,5,3,2,4]
[5,3,6,1,4,2]=>[4,6,5,3,1,2]
[5,3,6,2,1,4]=>[2,6,5,3,1,4]
[5,3,6,2,4,1]=>[4,6,5,3,2,1]
[5,3,6,4,1,2]=>[4,1,6,5,3,2]
[5,3,6,4,2,1]=>[2,4,6,5,3,1]
[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[5,4,1,2,6,3]=>[6,1,4,5,2,3]
[5,4,1,3,2,6]=>[3,4,1,5,2,6]
[5,4,1,3,6,2]=>[6,4,1,5,3,2]
[5,4,1,6,2,3]=>[6,4,1,5,2,3]
[5,4,1,6,3,2]=>[3,6,4,5,1,2]
[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[5,4,2,1,6,3]=>[2,6,4,5,1,3]
[5,4,2,3,1,6]=>[3,4,2,5,1,6]
[5,4,2,3,6,1]=>[6,4,2,5,3,1]
[5,4,2,6,1,3]=>[6,4,2,5,1,3]
[5,4,2,6,3,1]=>[3,6,4,5,2,1]
[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[5,4,3,1,6,2]=>[6,3,4,5,1,2]
[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[5,4,3,2,6,1]=>[6,3,4,5,2,1]
[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[5,4,3,6,2,1]=>[2,6,4,5,3,1]
[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[5,4,6,1,3,2]=>[3,6,1,5,4,2]
[5,4,6,2,1,3]=>[2,6,1,5,4,3]
[5,4,6,2,3,1]=>[3,6,2,5,4,1]
[5,4,6,3,1,2]=>[3,1,6,5,4,2]
[5,4,6,3,2,1]=>[2,3,6,5,4,1]
[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[5,6,1,2,4,3]=>[4,1,6,2,5,3]
[5,6,1,3,2,4]=>[3,6,1,2,5,4]
[5,6,1,3,4,2]=>[4,6,1,3,5,2]
[5,6,1,4,2,3]=>[4,6,1,2,5,3]
[5,6,1,4,3,2]=>[3,4,6,1,5,2]
[5,6,2,1,3,4]=>[2,6,1,3,5,4]
[5,6,2,1,4,3]=>[2,4,6,1,5,3]
[5,6,2,3,1,4]=>[3,6,2,1,5,4]
[5,6,2,3,4,1]=>[4,6,2,3,5,1]
[5,6,2,4,1,3]=>[4,6,2,1,5,3]
[5,6,2,4,3,1]=>[3,4,6,2,5,1]
[5,6,3,1,2,4]=>[3,1,6,2,5,4]
[5,6,3,1,4,2]=>[4,3,6,1,5,2]
[5,6,3,2,1,4]=>[2,3,6,1,5,4]
[5,6,3,2,4,1]=>[4,3,6,2,5,1]
[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[5,6,3,4,2,1]=>[2,4,6,3,5,1]
[5,6,4,1,2,3]=>[4,1,2,6,5,3]
[5,6,4,1,3,2]=>[3,4,1,6,5,2]
[5,6,4,2,1,3]=>[2,4,1,6,5,3]
[5,6,4,2,3,1]=>[3,4,2,6,5,1]
[5,6,4,3,1,2]=>[3,1,4,6,5,2]
[5,6,4,3,2,1]=>[2,3,4,6,5,1]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[6,1,2,3,5,4]=>[5,1,2,6,3,4]
[6,1,2,4,3,5]=>[4,1,6,2,3,5]
[6,1,2,4,5,3]=>[5,1,6,2,4,3]
[6,1,2,5,3,4]=>[5,1,6,2,3,4]
[6,1,2,5,4,3]=>[4,1,5,6,2,3]
[6,1,3,2,4,5]=>[3,6,1,2,4,5]
[6,1,3,2,5,4]=>[3,5,1,6,2,4]
[6,1,3,4,2,5]=>[4,6,1,3,2,5]
[6,1,3,4,5,2]=>[5,6,1,3,4,2]
[6,1,3,5,2,4]=>[5,6,1,3,2,4]
[6,1,3,5,4,2]=>[4,5,1,6,3,2]
[6,1,4,2,3,5]=>[4,6,1,2,3,5]
[6,1,4,2,5,3]=>[5,4,6,1,2,3]
[6,1,4,3,2,5]=>[3,4,6,1,2,5]
[6,1,4,3,5,2]=>[5,4,6,1,3,2]
[6,1,4,5,2,3]=>[5,6,1,2,4,3]
[6,1,4,5,3,2]=>[3,5,6,1,4,2]
[6,1,5,2,3,4]=>[5,6,1,2,3,4]
[6,1,5,2,4,3]=>[4,5,6,1,2,3]
[6,1,5,3,2,4]=>[3,5,6,1,2,4]
[6,1,5,3,4,2]=>[4,5,6,1,3,2]
[6,1,5,4,2,3]=>[4,5,1,6,2,3]
[6,1,5,4,3,2]=>[3,4,5,6,1,2]
[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[6,2,1,3,5,4]=>[2,5,1,6,3,4]
[6,2,1,4,3,5]=>[2,4,6,1,3,5]
[6,2,1,4,5,3]=>[2,5,6,1,4,3]
[6,2,1,5,3,4]=>[2,5,6,1,3,4]
[6,2,1,5,4,3]=>[2,4,5,6,1,3]
[6,2,3,1,4,5]=>[3,6,2,1,4,5]
[6,2,3,1,5,4]=>[3,5,2,6,1,4]
[6,2,3,4,1,5]=>[4,6,2,3,1,5]
[6,2,3,4,5,1]=>[5,6,2,3,4,1]
[6,2,3,5,1,4]=>[5,6,2,3,1,4]
[6,2,3,5,4,1]=>[4,5,2,6,3,1]
[6,2,4,1,3,5]=>[4,6,2,1,3,5]
[6,2,4,1,5,3]=>[5,4,6,2,1,3]
[6,2,4,3,1,5]=>[3,4,6,2,1,5]
[6,2,4,3,5,1]=>[5,4,6,2,3,1]
[6,2,4,5,1,3]=>[5,6,2,1,4,3]
[6,2,4,5,3,1]=>[3,5,6,2,4,1]
[6,2,5,1,3,4]=>[5,6,2,1,3,4]
[6,2,5,1,4,3]=>[4,5,6,2,1,3]
[6,2,5,3,1,4]=>[3,5,6,2,1,4]
[6,2,5,3,4,1]=>[4,5,6,2,3,1]
[6,2,5,4,1,3]=>[4,5,2,6,1,3]
[6,2,5,4,3,1]=>[3,4,5,6,2,1]
[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]=>[4,3,6,1,2,5]
[6,3,1,4,5,2]=>[5,3,6,1,4,2]
[6,3,1,5,2,4]=>[5,3,6,1,2,4]
[6,3,1,5,4,2]=>[4,3,5,6,1,2]
[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[6,3,2,1,5,4]=>[2,3,5,6,1,4]
[6,3,2,4,1,5]=>[4,3,6,2,1,5]
[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[6,3,2,5,1,4]=>[5,3,6,2,1,4]
[6,3,2,5,4,1]=>[4,3,5,6,2,1]
[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[6,3,4,1,5,2]=>[5,4,6,3,1,2]
[6,3,4,2,1,5]=>[2,4,6,3,1,5]
[6,3,4,2,5,1]=>[5,4,6,3,2,1]
[6,3,4,5,1,2]=>[5,1,6,3,4,2]
[6,3,4,5,2,1]=>[2,5,6,3,4,1]
[6,3,5,1,2,4]=>[5,1,6,3,2,4]
[6,3,5,1,4,2]=>[4,5,6,3,1,2]
[6,3,5,2,1,4]=>[2,5,6,3,1,4]
[6,3,5,2,4,1]=>[4,5,6,3,2,1]
[6,3,5,4,1,2]=>[4,1,5,6,3,2]
[6,3,5,4,2,1]=>[2,4,5,6,3,1]
[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[6,4,1,2,5,3]=>[5,1,4,6,2,3]
[6,4,1,3,2,5]=>[3,4,1,6,2,5]
[6,4,1,3,5,2]=>[5,4,1,6,3,2]
[6,4,1,5,2,3]=>[5,4,1,6,2,3]
[6,4,1,5,3,2]=>[3,5,4,6,1,2]
[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[6,4,2,1,5,3]=>[2,5,4,6,1,3]
[6,4,2,3,1,5]=>[3,4,2,6,1,5]
[6,4,2,3,5,1]=>[5,4,2,6,3,1]
[6,4,2,5,1,3]=>[5,4,2,6,1,3]
[6,4,2,5,3,1]=>[3,5,4,6,2,1]
[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[6,4,3,1,5,2]=>[5,3,4,6,1,2]
[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[6,4,3,5,1,2]=>[5,1,4,6,3,2]
[6,4,3,5,2,1]=>[2,5,4,6,3,1]
[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[6,4,5,1,3,2]=>[3,5,1,6,4,2]
[6,4,5,2,1,3]=>[2,5,1,6,4,3]
[6,4,5,2,3,1]=>[3,5,2,6,4,1]
[6,4,5,3,1,2]=>[3,1,5,6,4,2]
[6,4,5,3,2,1]=>[2,3,5,6,4,1]
[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[6,5,1,2,4,3]=>[4,1,5,2,6,3]
[6,5,1,3,2,4]=>[3,5,1,2,6,4]
[6,5,1,3,4,2]=>[4,5,1,3,6,2]
[6,5,1,4,2,3]=>[4,5,1,2,6,3]
[6,5,1,4,3,2]=>[3,4,5,1,6,2]
[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[6,5,2,1,4,3]=>[2,4,5,1,6,3]
[6,5,2,3,1,4]=>[3,5,2,1,6,4]
[6,5,2,3,4,1]=>[4,5,2,3,6,1]
[6,5,2,4,1,3]=>[4,5,2,1,6,3]
[6,5,2,4,3,1]=>[3,4,5,2,6,1]
[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[6,5,3,1,4,2]=>[4,3,5,1,6,2]
[6,5,3,2,1,4]=>[2,3,5,1,6,4]
[6,5,3,2,4,1]=>[4,3,5,2,6,1]
[6,5,3,4,1,2]=>[4,1,5,3,6,2]
[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[6,5,4,1,3,2]=>[3,4,1,5,6,2]
[6,5,4,2,1,3]=>[2,4,1,5,6,3]
[6,5,4,2,3,1]=>[3,4,2,5,6,1]
[6,5,4,3,1,2]=>[3,1,4,5,6,2]
[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[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]=>[1,2,3,7,5,6,4]
[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]
[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]=>[1,2,3,7,6,5,4]
[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]
[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]=>[1,2,3,6,7,5,4]
[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]
[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]
[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]=>[1,2,6,4,5,3,7]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]
[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[1,2,4,6,3,7,5]=>[1,2,7,4,6,3,5]
[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]
[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]
[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]
[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[1,2,4,7,3,6,5]=>[1,2,6,4,7,3,5]
[1,2,4,7,5,3,6]=>[1,2,5,4,7,3,6]
[1,2,4,7,5,6,3]=>[1,2,6,4,7,5,3]
[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]
[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]
[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]=>[1,2,7,5,3,6,4]
[1,2,5,3,7,4,6]=>[1,2,7,5,3,4,6]
[1,2,5,3,7,6,4]=>[1,2,6,5,3,7,4]
[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]=>[1,2,6,5,4,3,7]
[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]
[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]
[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]
[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[1,2,5,6,3,7,4]=>[1,2,7,6,5,3,4]
[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]
[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]
[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]
[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]
[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[1,2,5,7,3,6,4]=>[1,2,6,7,5,3,4]
[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]
[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]
[1,2,5,7,6,3,4]=>[1,2,6,3,5,7,4]
[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]
[1,2,6,3,4,7,5]=>[1,2,7,3,6,4,5]
[1,2,6,3,5,4,7]=>[1,2,5,6,3,4,7]
[1,2,6,3,5,7,4]=>[1,2,7,6,3,5,4]
[1,2,6,3,7,4,5]=>[1,2,7,6,3,4,5]
[1,2,6,3,7,5,4]=>[1,2,5,7,6,3,4]
[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]=>[1,2,5,6,4,3,7]
[1,2,6,4,5,7,3]=>[1,2,7,6,4,5,3]
[1,2,6,4,7,3,5]=>[1,2,7,6,4,3,5]
[1,2,6,4,7,5,3]=>[1,2,5,7,6,4,3]
[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]
[1,2,6,5,3,7,4]=>[1,2,7,5,6,3,4]
[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]
[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]
[1,2,6,5,7,3,4]=>[1,2,7,3,6,5,4]
[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]
[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]
[1,2,6,7,3,5,4]=>[1,2,5,7,3,6,4]
[1,2,6,7,4,3,5]=>[1,2,4,7,3,6,5]
[1,2,6,7,4,5,3]=>[1,2,5,7,4,6,3]
[1,2,6,7,5,3,4]=>[1,2,5,3,7,6,4]
[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]
[1,2,7,3,4,6,5]=>[1,2,6,3,7,4,5]
[1,2,7,3,5,4,6]=>[1,2,5,7,3,4,6]
[1,2,7,3,5,6,4]=>[1,2,6,7,3,5,4]
[1,2,7,3,6,4,5]=>[1,2,6,7,3,4,5]
[1,2,7,3,6,5,4]=>[1,2,5,6,7,3,4]
[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]=>[1,2,5,7,4,3,6]
[1,2,7,4,5,6,3]=>[1,2,6,7,4,5,3]
[1,2,7,4,6,3,5]=>[1,2,6,7,4,3,5]
[1,2,7,4,6,5,3]=>[1,2,5,6,7,4,3]
[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]
[1,2,7,5,3,6,4]=>[1,2,6,5,7,3,4]
[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]
[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3]
[1,2,7,5,6,3,4]=>[1,2,6,3,7,5,4]
[1,2,7,5,6,4,3]=>[1,2,4,6,7,5,3]
[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]
[1,2,7,6,3,5,4]=>[1,2,5,6,3,7,4]
[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]
[1,2,7,6,4,5,3]=>[1,2,5,6,4,7,3]
[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]
[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]
[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]=>[1,3,2,7,5,6,4]
[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]
[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]
[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]=>[1,3,2,7,6,5,4]
[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]
[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]
[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]=>[1,3,2,6,7,5,4]
[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]
[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]
[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]=>[1,5,3,4,2,6,7]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]
[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]
[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]
[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[1,3,4,6,2,7,5]=>[1,7,3,4,6,2,5]
[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]
[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]
[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]
[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]
[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]
[1,3,4,7,2,6,5]=>[1,6,3,4,7,2,5]
[1,3,4,7,5,2,6]=>[1,5,3,4,7,2,6]
[1,3,4,7,5,6,2]=>[1,6,3,4,7,5,2]
[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]
[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]
[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]=>[1,6,3,5,2,4,7]
[1,3,5,2,6,7,4]=>[1,7,3,5,2,6,4]
[1,3,5,2,7,4,6]=>[1,7,3,5,2,4,6]
[1,3,5,2,7,6,4]=>[1,6,3,5,2,7,4]
[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]
[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]
[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]
[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]
[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]
[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]
[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[1,3,5,6,2,7,4]=>[1,7,3,6,5,2,4]
[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]
[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]
[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]
[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]
[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[1,3,5,7,2,6,4]=>[1,6,3,7,5,2,4]
[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]
[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]
[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]
[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]
[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[1,3,6,2,4,7,5]=>[1,7,3,2,6,4,5]
[1,3,6,2,5,4,7]=>[1,5,3,6,2,4,7]
[1,3,6,2,5,7,4]=>[1,7,3,6,2,5,4]
[1,3,6,2,7,4,5]=>[1,7,3,6,2,4,5]
[1,3,6,2,7,5,4]=>[1,5,3,7,6,2,4]
[1,3,6,4,2,5,7]=>[1,4,3,6,2,5,7]
[1,3,6,4,2,7,5]=>[1,4,3,7,6,2,5]
[1,3,6,4,5,2,7]=>[1,5,3,6,4,2,7]
[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]
[1,3,6,4,7,2,5]=>[1,7,3,6,4,2,5]
[1,3,6,4,7,5,2]=>[1,5,3,7,6,4,2]
[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]
[1,3,6,5,2,7,4]=>[1,7,3,5,6,2,4]
[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]
[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]
[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]
[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]
[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]
[1,3,6,7,2,5,4]=>[1,5,3,7,2,6,4]
[1,3,6,7,4,2,5]=>[1,4,3,7,2,6,5]
[1,3,6,7,4,5,2]=>[1,5,3,7,4,6,2]
[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]
[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]
[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]
[1,3,7,2,4,6,5]=>[1,6,3,2,7,4,5]
[1,3,7,2,5,4,6]=>[1,5,3,7,2,4,6]
[1,3,7,2,5,6,4]=>[1,6,3,7,2,5,4]
[1,3,7,2,6,4,5]=>[1,6,3,7,2,4,5]
[1,3,7,2,6,5,4]=>[1,5,3,6,7,2,4]
[1,3,7,4,2,5,6]=>[1,4,3,7,2,5,6]
[1,3,7,4,2,6,5]=>[1,4,3,6,7,2,5]
[1,3,7,4,5,2,6]=>[1,5,3,7,4,2,6]
[1,3,7,4,5,6,2]=>[1,6,3,7,4,5,2]
[1,3,7,4,6,2,5]=>[1,6,3,7,4,2,5]
[1,3,7,4,6,5,2]=>[1,5,3,6,7,4,2]
[1,3,7,5,2,4,6]=>[1,5,3,2,7,4,6]
[1,3,7,5,2,6,4]=>[1,6,3,5,7,2,4]
[1,3,7,5,4,2,6]=>[1,4,3,5,7,2,6]
[1,3,7,5,4,6,2]=>[1,6,3,5,7,4,2]
[1,3,7,5,6,2,4]=>[1,6,3,2,7,5,4]
[1,3,7,5,6,4,2]=>[1,4,3,6,7,5,2]
[1,3,7,6,2,4,5]=>[1,6,3,2,4,7,5]
[1,3,7,6,2,5,4]=>[1,5,3,6,2,7,4]
[1,3,7,6,4,2,5]=>[1,4,3,6,2,7,5]
[1,3,7,6,4,5,2]=>[1,5,3,6,4,7,2]
[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]
[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]
[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]=>[1,6,4,2,5,3,7]
[1,4,2,5,6,7,3]=>[1,7,4,2,5,6,3]
[1,4,2,5,7,3,6]=>[1,7,4,2,5,3,6]
[1,4,2,5,7,6,3]=>[1,6,4,2,5,7,3]
[1,4,2,6,3,5,7]=>[1,6,4,2,3,5,7]
[1,4,2,6,3,7,5]=>[1,7,4,2,6,3,5]
[1,4,2,6,5,3,7]=>[1,5,4,2,6,3,7]
[1,4,2,6,5,7,3]=>[1,7,4,2,6,5,3]
[1,4,2,6,7,3,5]=>[1,7,4,2,3,6,5]
[1,4,2,6,7,5,3]=>[1,5,4,2,7,6,3]
[1,4,2,7,3,5,6]=>[1,7,4,2,3,5,6]
[1,4,2,7,3,6,5]=>[1,6,4,2,7,3,5]
[1,4,2,7,5,3,6]=>[1,5,4,2,7,3,6]
[1,4,2,7,5,6,3]=>[1,6,4,2,7,5,3]
[1,4,2,7,6,3,5]=>[1,6,4,2,3,7,5]
[1,4,2,7,6,5,3]=>[1,5,4,2,6,7,3]
[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]=>[1,5,4,3,2,6,7]
[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]
[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]
[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]
[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]
[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]
[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]
[1,4,3,6,2,7,5]=>[1,7,4,3,6,2,5]
[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]
[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]
[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]
[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]
[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]
[1,4,3,7,2,6,5]=>[1,6,4,3,7,2,5]
[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]
[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]
[1,4,3,7,6,2,5]=>[1,6,4,3,2,7,5]
[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]
[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]=>[1,6,5,4,2,3,7]
[1,4,5,2,6,7,3]=>[1,7,5,4,2,6,3]
[1,4,5,2,7,3,6]=>[1,7,5,4,2,3,6]
[1,4,5,2,7,6,3]=>[1,6,5,4,2,7,3]
[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]
[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]
[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]
[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]
[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]
[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]
[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]
[1,4,5,6,2,7,3]=>[1,7,6,4,5,2,3]
[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]
[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]
[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]
[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]
[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]
[1,4,5,7,2,6,3]=>[1,6,7,4,5,2,3]
[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]
[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]
[1,4,5,7,6,2,3]=>[1,6,2,4,5,7,3]
[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]
[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[1,4,6,2,3,7,5]=>[1,7,2,4,6,3,5]
[1,4,6,2,5,3,7]=>[1,5,6,4,2,3,7]
[1,4,6,2,5,7,3]=>[1,7,6,4,2,5,3]
[1,4,6,2,7,3,5]=>[1,7,6,4,2,3,5]
[1,4,6,2,7,5,3]=>[1,5,7,4,6,2,3]
[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]
[1,4,6,3,2,7,5]=>[1,3,7,4,6,2,5]
[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]
[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]
[1,4,6,3,7,2,5]=>[1,7,6,4,3,2,5]
[1,4,6,3,7,5,2]=>[1,5,7,4,6,3,2]
[1,4,6,5,2,3,7]=>[1,5,2,4,6,3,7]
[1,4,6,5,2,7,3]=>[1,7,5,4,6,2,3]
[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]
[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]
[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]
[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]
[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]
[1,4,6,7,2,5,3]=>[1,5,7,4,2,6,3]
[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]
[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]
[1,4,6,7,5,2,3]=>[1,5,2,4,7,6,3]
[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]
[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]
[1,4,7,2,3,6,5]=>[1,6,2,4,7,3,5]
[1,4,7,2,5,3,6]=>[1,5,7,4,2,3,6]
[1,4,7,2,5,6,3]=>[1,6,7,4,2,5,3]
[1,4,7,2,6,3,5]=>[1,6,7,4,2,3,5]
[1,4,7,2,6,5,3]=>[1,5,6,4,7,2,3]
[1,4,7,3,2,5,6]=>[1,3,7,4,2,5,6]
[1,4,7,3,2,6,5]=>[1,3,6,4,7,2,5]
[1,4,7,3,5,2,6]=>[1,5,7,4,3,2,6]
[1,4,7,3,5,6,2]=>[1,6,7,4,3,5,2]
[1,4,7,3,6,2,5]=>[1,6,7,4,3,2,5]
[1,4,7,3,6,5,2]=>[1,5,6,4,7,3,2]
[1,4,7,5,2,3,6]=>[1,5,2,4,7,3,6]
[1,4,7,5,2,6,3]=>[1,6,5,4,7,2,3]
[1,4,7,5,3,2,6]=>[1,3,5,4,7,2,6]
[1,4,7,5,3,6,2]=>[1,6,5,4,7,3,2]
[1,4,7,5,6,2,3]=>[1,6,2,4,7,5,3]
[1,4,7,5,6,3,2]=>[1,3,6,4,7,5,2]
[1,4,7,6,2,3,5]=>[1,6,2,4,3,7,5]
[1,4,7,6,2,5,3]=>[1,5,6,4,2,7,3]
[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]
[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]
[1,4,7,6,5,2,3]=>[1,5,2,4,6,7,3]
[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]
[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]=>[1,6,2,5,3,4,7]
[1,5,2,3,6,7,4]=>[1,7,2,5,3,6,4]
[1,5,2,3,7,4,6]=>[1,7,2,5,3,4,6]
[1,5,2,3,7,6,4]=>[1,6,2,5,3,7,4]
[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]=>[1,6,5,2,4,3,7]
[1,5,2,4,6,7,3]=>[1,7,5,2,4,6,3]
[1,5,2,4,7,3,6]=>[1,7,5,2,4,3,6]
[1,5,2,4,7,6,3]=>[1,6,5,2,4,7,3]
[1,5,2,6,3,4,7]=>[1,6,5,2,3,4,7]
[1,5,2,6,3,7,4]=>[1,7,6,5,2,3,4]
[1,5,2,6,4,3,7]=>[1,4,6,5,2,3,7]
[1,5,2,6,4,7,3]=>[1,7,6,5,2,4,3]
[1,5,2,6,7,3,4]=>[1,7,5,2,3,6,4]
[1,5,2,6,7,4,3]=>[1,4,7,5,2,6,3]
[1,5,2,7,3,4,6]=>[1,7,5,2,3,4,6]
[1,5,2,7,3,6,4]=>[1,6,7,5,2,3,4]
[1,5,2,7,4,3,6]=>[1,4,7,5,2,3,6]
[1,5,2,7,4,6,3]=>[1,6,7,5,2,4,3]
[1,5,2,7,6,3,4]=>[1,6,5,2,3,7,4]
[1,5,2,7,6,4,3]=>[1,4,6,5,2,7,3]
[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]=>[1,3,7,5,2,6,4]
[1,5,3,2,7,4,6]=>[1,3,7,5,2,4,6]
[1,5,3,2,7,6,4]=>[1,3,6,5,2,7,4]
[1,5,3,4,2,6,7]=>[1,4,5,3,2,6,7]
[1,5,3,4,2,7,6]=>[1,4,5,3,2,7,6]
[1,5,3,4,6,2,7]=>[1,6,5,3,4,2,7]
[1,5,3,4,6,7,2]=>[1,7,5,3,4,6,2]
[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]
[1,5,3,4,7,6,2]=>[1,6,5,3,4,7,2]
[1,5,3,6,2,4,7]=>[1,6,5,3,2,4,7]
[1,5,3,6,2,7,4]=>[1,7,6,5,3,2,4]
[1,5,3,6,4,2,7]=>[1,4,6,5,3,2,7]
[1,5,3,6,4,7,2]=>[1,7,6,5,3,4,2]
[1,5,3,6,7,2,4]=>[1,7,5,3,2,6,4]
[1,5,3,6,7,4,2]=>[1,4,7,5,3,6,2]
[1,5,3,7,2,4,6]=>[1,7,5,3,2,4,6]
[1,5,3,7,2,6,4]=>[1,6,7,5,3,2,4]
[1,5,3,7,4,2,6]=>[1,4,7,5,3,2,6]
[1,5,3,7,4,6,2]=>[1,6,7,5,3,4,2]
[1,5,3,7,6,2,4]=>[1,6,5,3,2,7,4]
[1,5,3,7,6,4,2]=>[1,4,6,5,3,7,2]
[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]=>[1,6,4,5,2,3,7]
[1,5,4,2,6,7,3]=>[1,7,4,5,2,6,3]
[1,5,4,2,7,3,6]=>[1,7,4,5,2,3,6]
[1,5,4,2,7,6,3]=>[1,6,4,5,2,7,3]
[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]
[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]
[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]
[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]
[1,5,4,3,7,2,6]=>[1,7,4,5,3,2,6]
[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]
[1,5,4,6,2,3,7]=>[1,6,2,5,4,3,7]
[1,5,4,6,2,7,3]=>[1,7,6,5,4,2,3]
[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]
[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]
[1,5,4,6,7,2,3]=>[1,7,2,5,4,6,3]
[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]
[1,5,4,7,2,3,6]=>[1,7,2,5,4,3,6]
[1,5,4,7,2,6,3]=>[1,6,7,5,4,2,3]
[1,5,4,7,3,2,6]=>[1,3,7,5,4,2,6]
[1,5,4,7,3,6,2]=>[1,6,7,5,4,3,2]
[1,5,4,7,6,2,3]=>[1,6,2,5,4,7,3]
[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]
[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]
[1,5,6,2,3,7,4]=>[1,7,2,6,5,3,4]
[1,5,6,2,4,3,7]=>[1,4,6,2,5,3,7]
[1,5,6,2,4,7,3]=>[1,7,6,2,5,4,3]
[1,5,6,2,7,3,4]=>[1,7,6,2,5,3,4]
[1,5,6,2,7,4,3]=>[1,4,7,6,5,2,3]
[1,5,6,3,2,4,7]=>[1,3,6,2,5,4,7]
[1,5,6,3,2,7,4]=>[1,3,7,6,5,2,4]
[1,5,6,3,4,2,7]=>[1,4,6,3,5,2,7]
[1,5,6,3,4,7,2]=>[1,7,6,3,5,4,2]
[1,5,6,3,7,2,4]=>[1,7,6,3,5,2,4]
[1,5,6,3,7,4,2]=>[1,4,7,6,5,3,2]
[1,5,6,4,2,3,7]=>[1,4,2,6,5,3,7]
[1,5,6,4,2,7,3]=>[1,7,4,6,5,2,3]
[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]
[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]
[1,5,6,4,7,2,3]=>[1,7,2,6,5,4,3]
[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]
[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]
[1,5,6,7,2,4,3]=>[1,4,7,2,5,6,3]
[1,5,6,7,3,2,4]=>[1,3,7,2,5,6,4]
[1,5,6,7,3,4,2]=>[1,4,7,3,5,6,2]
[1,5,6,7,4,2,3]=>[1,4,2,7,5,6,3]
[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]
[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]
[1,5,7,2,3,6,4]=>[1,6,2,7,5,3,4]
[1,5,7,2,4,3,6]=>[1,4,7,2,5,3,6]
[1,5,7,2,4,6,3]=>[1,6,7,2,5,4,3]
[1,5,7,2,6,3,4]=>[1,6,7,2,5,3,4]
[1,5,7,2,6,4,3]=>[1,4,6,7,5,2,3]
[1,5,7,3,2,4,6]=>[1,3,7,2,5,4,6]
[1,5,7,3,2,6,4]=>[1,3,6,7,5,2,4]
[1,5,7,3,4,2,6]=>[1,4,7,3,5,2,6]
[1,5,7,3,4,6,2]=>[1,6,7,3,5,4,2]
[1,5,7,3,6,2,4]=>[1,6,7,3,5,2,4]
[1,5,7,3,6,4,2]=>[1,4,6,7,5,3,2]
[1,5,7,4,2,3,6]=>[1,4,2,7,5,3,6]
[1,5,7,4,2,6,3]=>[1,6,4,7,5,2,3]
[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]
[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]
[1,5,7,4,6,2,3]=>[1,6,2,7,5,4,3]
[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]
[1,5,7,6,2,3,4]=>[1,6,2,3,5,7,4]
[1,5,7,6,2,4,3]=>[1,4,6,2,5,7,3]
[1,5,7,6,3,2,4]=>[1,3,6,2,5,7,4]
[1,5,7,6,3,4,2]=>[1,4,6,3,5,7,2]
[1,5,7,6,4,2,3]=>[1,4,2,6,5,7,3]
[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]
[1,6,2,3,4,7,5]=>[1,7,2,3,6,4,5]
[1,6,2,3,5,4,7]=>[1,5,2,6,3,4,7]
[1,6,2,3,5,7,4]=>[1,7,2,6,3,5,4]
[1,6,2,3,7,4,5]=>[1,7,2,6,3,4,5]
[1,6,2,3,7,5,4]=>[1,5,2,7,6,3,4]
[1,6,2,4,3,5,7]=>[1,4,6,2,3,5,7]
[1,6,2,4,3,7,5]=>[1,4,7,2,6,3,5]
[1,6,2,4,5,3,7]=>[1,5,6,2,4,3,7]
[1,6,2,4,5,7,3]=>[1,7,6,2,4,5,3]
[1,6,2,4,7,3,5]=>[1,7,6,2,4,3,5]
[1,6,2,4,7,5,3]=>[1,5,7,2,6,4,3]
[1,6,2,5,3,4,7]=>[1,5,6,2,3,4,7]
[1,6,2,5,3,7,4]=>[1,7,5,6,2,3,4]
[1,6,2,5,4,3,7]=>[1,4,5,6,2,3,7]
[1,6,2,5,4,7,3]=>[1,7,5,6,2,4,3]
[1,6,2,5,7,3,4]=>[1,7,6,2,3,5,4]
[1,6,2,5,7,4,3]=>[1,4,7,6,2,5,3]
[1,6,2,7,3,4,5]=>[1,7,6,2,3,4,5]
[1,6,2,7,3,5,4]=>[1,5,7,6,2,3,4]
[1,6,2,7,4,3,5]=>[1,4,7,6,2,3,5]
[1,6,2,7,4,5,3]=>[1,5,7,6,2,4,3]
[1,6,2,7,5,3,4]=>[1,5,7,2,6,3,4]
[1,6,2,7,5,4,3]=>[1,4,5,7,6,2,3]
[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]
[1,6,3,2,4,7,5]=>[1,3,7,2,6,4,5]
[1,6,3,2,5,4,7]=>[1,3,5,6,2,4,7]
[1,6,3,2,5,7,4]=>[1,3,7,6,2,5,4]
[1,6,3,2,7,4,5]=>[1,3,7,6,2,4,5]
[1,6,3,2,7,5,4]=>[1,3,5,7,6,2,4]
[1,6,3,4,2,5,7]=>[1,4,6,3,2,5,7]
[1,6,3,4,2,7,5]=>[1,4,7,3,6,2,5]
[1,6,3,4,5,2,7]=>[1,5,6,3,4,2,7]
[1,6,3,4,5,7,2]=>[1,7,6,3,4,5,2]
[1,6,3,4,7,2,5]=>[1,7,6,3,4,2,5]
[1,6,3,4,7,5,2]=>[1,5,7,3,6,4,2]
[1,6,3,5,2,4,7]=>[1,5,6,3,2,4,7]
[1,6,3,5,2,7,4]=>[1,7,5,6,3,2,4]
[1,6,3,5,4,2,7]=>[1,4,5,6,3,2,7]
[1,6,3,5,4,7,2]=>[1,7,5,6,3,4,2]
[1,6,3,5,7,2,4]=>[1,7,6,3,2,5,4]
[1,6,3,5,7,4,2]=>[1,4,7,6,3,5,2]
[1,6,3,7,2,4,5]=>[1,7,6,3,2,4,5]
[1,6,3,7,2,5,4]=>[1,5,7,6,3,2,4]
[1,6,3,7,4,2,5]=>[1,4,7,6,3,2,5]
[1,6,3,7,4,5,2]=>[1,5,7,6,3,4,2]
[1,6,3,7,5,2,4]=>[1,5,7,3,6,2,4]
[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2]
[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]=>[1,5,4,6,2,3,7]
[1,6,4,2,5,7,3]=>[1,7,4,6,2,5,3]
[1,6,4,2,7,3,5]=>[1,7,4,6,2,3,5]
[1,6,4,2,7,5,3]=>[1,5,4,7,6,2,3]
[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]
[1,6,4,3,2,7,5]=>[1,3,4,7,6,2,5]
[1,6,4,3,5,2,7]=>[1,5,4,6,3,2,7]
[1,6,4,3,5,7,2]=>[1,7,4,6,3,5,2]
[1,6,4,3,7,2,5]=>[1,7,4,6,3,2,5]
[1,6,4,3,7,5,2]=>[1,5,4,7,6,3,2]
[1,6,4,5,2,3,7]=>[1,5,2,6,4,3,7]
[1,6,4,5,2,7,3]=>[1,7,5,6,4,2,3]
[1,6,4,5,3,2,7]=>[1,3,5,6,4,2,7]
[1,6,4,5,3,7,2]=>[1,7,5,6,4,3,2]
[1,6,4,5,7,2,3]=>[1,7,2,6,4,5,3]
[1,6,4,5,7,3,2]=>[1,3,7,6,4,5,2]
[1,6,4,7,2,3,5]=>[1,7,2,6,4,3,5]
[1,6,4,7,2,5,3]=>[1,5,7,6,4,2,3]
[1,6,4,7,3,2,5]=>[1,3,7,6,4,2,5]
[1,6,4,7,3,5,2]=>[1,5,7,6,4,3,2]
[1,6,4,7,5,2,3]=>[1,5,2,7,6,4,3]
[1,6,4,7,5,3,2]=>[1,3,5,7,6,4,2]
[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]
[1,6,5,2,3,7,4]=>[1,7,2,5,6,3,4]
[1,6,5,2,4,3,7]=>[1,4,5,2,6,3,7]
[1,6,5,2,4,7,3]=>[1,7,5,2,6,4,3]
[1,6,5,2,7,3,4]=>[1,7,5,2,6,3,4]
[1,6,5,2,7,4,3]=>[1,4,7,5,6,2,3]
[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]
[1,6,5,3,2,7,4]=>[1,3,7,5,6,2,4]
[1,6,5,3,4,2,7]=>[1,4,5,3,6,2,7]
[1,6,5,3,4,7,2]=>[1,7,5,3,6,4,2]
[1,6,5,3,7,2,4]=>[1,7,5,3,6,2,4]
[1,6,5,3,7,4,2]=>[1,4,7,5,6,3,2]
[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]
[1,6,5,4,2,7,3]=>[1,7,4,5,6,2,3]
[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]
[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]
[1,6,5,4,7,2,3]=>[1,7,2,5,6,4,3]
[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]
[1,6,5,7,2,3,4]=>[1,7,2,3,6,5,4]
[1,6,5,7,2,4,3]=>[1,4,7,2,6,5,3]
[1,6,5,7,3,2,4]=>[1,3,7,2,6,5,4]
[1,6,5,7,3,4,2]=>[1,4,7,3,6,5,2]
[1,6,5,7,4,2,3]=>[1,4,2,7,6,5,3]
[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]
[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]
[1,6,7,2,3,5,4]=>[1,5,2,7,3,6,4]
[1,6,7,2,4,3,5]=>[1,4,7,2,3,6,5]
[1,6,7,2,4,5,3]=>[1,5,7,2,4,6,3]
[1,6,7,2,5,3,4]=>[1,5,7,2,3,6,4]
[1,6,7,2,5,4,3]=>[1,4,5,7,2,6,3]
[1,6,7,3,2,4,5]=>[1,3,7,2,4,6,5]
[1,6,7,3,2,5,4]=>[1,3,5,7,2,6,4]
[1,6,7,3,4,2,5]=>[1,4,7,3,2,6,5]
[1,6,7,3,4,5,2]=>[1,5,7,3,4,6,2]
[1,6,7,3,5,2,4]=>[1,5,7,3,2,6,4]
[1,6,7,3,5,4,2]=>[1,4,5,7,3,6,2]
[1,6,7,4,2,3,5]=>[1,4,2,7,3,6,5]
[1,6,7,4,2,5,3]=>[1,5,4,7,2,6,3]
[1,6,7,4,3,2,5]=>[1,3,4,7,2,6,5]
[1,6,7,4,3,5,2]=>[1,5,4,7,3,6,2]
[1,6,7,4,5,2,3]=>[1,5,2,7,4,6,3]
[1,6,7,4,5,3,2]=>[1,3,5,7,4,6,2]
[1,6,7,5,2,3,4]=>[1,5,2,3,7,6,4]
[1,6,7,5,2,4,3]=>[1,4,5,2,7,6,3]
[1,6,7,5,3,2,4]=>[1,3,5,2,7,6,4]
[1,6,7,5,3,4,2]=>[1,4,5,3,7,6,2]
[1,6,7,5,4,2,3]=>[1,4,2,5,7,6,3]
[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]
[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]
[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]
[1,7,2,3,5,6,4]=>[1,6,2,7,3,5,4]
[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]
[1,7,2,3,6,5,4]=>[1,5,2,6,7,3,4]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]
[1,7,2,4,3,6,5]=>[1,4,6,2,7,3,5]
[1,7,2,4,5,3,6]=>[1,5,7,2,4,3,6]
[1,7,2,4,5,6,3]=>[1,6,7,2,4,5,3]
[1,7,2,4,6,3,5]=>[1,6,7,2,4,3,5]
[1,7,2,4,6,5,3]=>[1,5,6,2,7,4,3]
[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]
[1,7,2,5,3,6,4]=>[1,6,5,7,2,3,4]
[1,7,2,5,4,3,6]=>[1,4,5,7,2,3,6]
[1,7,2,5,4,6,3]=>[1,6,5,7,2,4,3]
[1,7,2,5,6,3,4]=>[1,6,7,2,3,5,4]
[1,7,2,5,6,4,3]=>[1,4,6,7,2,5,3]
[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]
[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]
[1,7,2,6,4,3,5]=>[1,4,6,7,2,3,5]
[1,7,2,6,4,5,3]=>[1,5,6,7,2,4,3]
[1,7,2,6,5,3,4]=>[1,5,6,2,7,3,4]
[1,7,2,6,5,4,3]=>[1,4,5,6,7,2,3]
[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]
[1,7,3,2,4,6,5]=>[1,3,6,2,7,4,5]
[1,7,3,2,5,4,6]=>[1,3,5,7,2,4,6]
[1,7,3,2,5,6,4]=>[1,3,6,7,2,5,4]
[1,7,3,2,6,4,5]=>[1,3,6,7,2,4,5]
[1,7,3,2,6,5,4]=>[1,3,5,6,7,2,4]
[1,7,3,4,2,5,6]=>[1,4,7,3,2,5,6]
[1,7,3,4,2,6,5]=>[1,4,6,3,7,2,5]
[1,7,3,4,5,2,6]=>[1,5,7,3,4,2,6]
[1,7,3,4,5,6,2]=>[1,6,7,3,4,5,2]
[1,7,3,4,6,2,5]=>[1,6,7,3,4,2,5]
[1,7,3,4,6,5,2]=>[1,5,6,3,7,4,2]
[1,7,3,5,2,4,6]=>[1,5,7,3,2,4,6]
[1,7,3,5,2,6,4]=>[1,6,5,7,3,2,4]
[1,7,3,5,4,2,6]=>[1,4,5,7,3,2,6]
[1,7,3,5,4,6,2]=>[1,6,5,7,3,4,2]
[1,7,3,5,6,2,4]=>[1,6,7,3,2,5,4]
[1,7,3,5,6,4,2]=>[1,4,6,7,3,5,2]
[1,7,3,6,2,4,5]=>[1,6,7,3,2,4,5]
[1,7,3,6,2,5,4]=>[1,5,6,7,3,2,4]
[1,7,3,6,4,2,5]=>[1,4,6,7,3,2,5]
[1,7,3,6,4,5,2]=>[1,5,6,7,3,4,2]
[1,7,3,6,5,2,4]=>[1,5,6,3,7,2,4]
[1,7,3,6,5,4,2]=>[1,4,5,6,7,3,2]
[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]=>[1,5,4,7,2,3,6]
[1,7,4,2,5,6,3]=>[1,6,4,7,2,5,3]
[1,7,4,2,6,3,5]=>[1,6,4,7,2,3,5]
[1,7,4,2,6,5,3]=>[1,5,4,6,7,2,3]
[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]
[1,7,4,3,2,6,5]=>[1,3,4,6,7,2,5]
[1,7,4,3,5,2,6]=>[1,5,4,7,3,2,6]
[1,7,4,3,5,6,2]=>[1,6,4,7,3,5,2]
[1,7,4,3,6,2,5]=>[1,6,4,7,3,2,5]
[1,7,4,3,6,5,2]=>[1,5,4,6,7,3,2]
[1,7,4,5,2,3,6]=>[1,5,2,7,4,3,6]
[1,7,4,5,2,6,3]=>[1,6,5,7,4,2,3]
[1,7,4,5,3,2,6]=>[1,3,5,7,4,2,6]
[1,7,4,5,3,6,2]=>[1,6,5,7,4,3,2]
[1,7,4,5,6,2,3]=>[1,6,2,7,4,5,3]
[1,7,4,5,6,3,2]=>[1,3,6,7,4,5,2]
[1,7,4,6,2,3,5]=>[1,6,2,7,4,3,5]
[1,7,4,6,2,5,3]=>[1,5,6,7,4,2,3]
[1,7,4,6,3,2,5]=>[1,3,6,7,4,2,5]
[1,7,4,6,3,5,2]=>[1,5,6,7,4,3,2]
[1,7,4,6,5,2,3]=>[1,5,2,6,7,4,3]
[1,7,4,6,5,3,2]=>[1,3,5,6,7,4,2]
[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]
[1,7,5,2,3,6,4]=>[1,6,2,5,7,3,4]
[1,7,5,2,4,3,6]=>[1,4,5,2,7,3,6]
[1,7,5,2,4,6,3]=>[1,6,5,2,7,4,3]
[1,7,5,2,6,3,4]=>[1,6,5,2,7,3,4]
[1,7,5,2,6,4,3]=>[1,4,6,5,7,2,3]
[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]
[1,7,5,3,2,6,4]=>[1,3,6,5,7,2,4]
[1,7,5,3,4,2,6]=>[1,4,5,3,7,2,6]
[1,7,5,3,4,6,2]=>[1,6,5,3,7,4,2]
[1,7,5,3,6,2,4]=>[1,6,5,3,7,2,4]
[1,7,5,3,6,4,2]=>[1,4,6,5,7,3,2]
[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]
[1,7,5,4,2,6,3]=>[1,6,4,5,7,2,3]
[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]
[1,7,5,4,3,6,2]=>[1,6,4,5,7,3,2]
[1,7,5,4,6,2,3]=>[1,6,2,5,7,4,3]
[1,7,5,4,6,3,2]=>[1,3,6,5,7,4,2]
[1,7,5,6,2,3,4]=>[1,6,2,3,7,5,4]
[1,7,5,6,2,4,3]=>[1,4,6,2,7,5,3]
[1,7,5,6,3,2,4]=>[1,3,6,2,7,5,4]
[1,7,5,6,3,4,2]=>[1,4,6,3,7,5,2]
[1,7,5,6,4,2,3]=>[1,4,2,6,7,5,3]
[1,7,5,6,4,3,2]=>[1,3,4,6,7,5,2]
[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]
[1,7,6,2,3,5,4]=>[1,5,2,6,3,7,4]
[1,7,6,2,4,3,5]=>[1,4,6,2,3,7,5]
[1,7,6,2,4,5,3]=>[1,5,6,2,4,7,3]
[1,7,6,2,5,3,4]=>[1,5,6,2,3,7,4]
[1,7,6,2,5,4,3]=>[1,4,5,6,2,7,3]
[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]
[1,7,6,3,2,5,4]=>[1,3,5,6,2,7,4]
[1,7,6,3,4,2,5]=>[1,4,6,3,2,7,5]
[1,7,6,3,4,5,2]=>[1,5,6,3,4,7,2]
[1,7,6,3,5,2,4]=>[1,5,6,3,2,7,4]
[1,7,6,3,5,4,2]=>[1,4,5,6,3,7,2]
[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]
[1,7,6,4,2,5,3]=>[1,5,4,6,2,7,3]
[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]
[1,7,6,4,3,5,2]=>[1,5,4,6,3,7,2]
[1,7,6,4,5,2,3]=>[1,5,2,6,4,7,3]
[1,7,6,4,5,3,2]=>[1,3,5,6,4,7,2]
[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]
[1,7,6,5,2,4,3]=>[1,4,5,2,6,7,3]
[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]
[1,7,6,5,3,4,2]=>[1,4,5,3,6,7,2]
[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]
[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]
[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]=>[2,1,3,7,5,6,4]
[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]
[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]
[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]=>[2,1,3,7,6,5,4]
[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]
[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]
[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]=>[2,1,3,6,7,5,4]
[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]
[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]
[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]=>[2,1,6,4,5,3,7]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]
[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]
[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]
[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]
[2,1,4,6,3,7,5]=>[2,1,7,4,6,3,5]
[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]
[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]
[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]
[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]
[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]
[2,1,4,7,3,6,5]=>[2,1,6,4,7,3,5]
[2,1,4,7,5,3,6]=>[2,1,5,4,7,3,6]
[2,1,4,7,5,6,3]=>[2,1,6,4,7,5,3]
[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5]
[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]
[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]=>[2,1,7,5,3,6,4]
[2,1,5,3,7,4,6]=>[2,1,7,5,3,4,6]
[2,1,5,3,7,6,4]=>[2,1,6,5,3,7,4]
[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]=>[2,1,6,5,4,3,7]
[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]
[2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6]
[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]
[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]
[2,1,5,6,3,7,4]=>[2,1,7,6,5,3,4]
[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]
[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]
[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]
[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]
[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]
[2,1,5,7,3,6,4]=>[2,1,6,7,5,3,4]
[2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6]
[2,1,5,7,4,6,3]=>[2,1,6,7,5,4,3]
[2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]
[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]
[2,1,6,3,4,7,5]=>[2,1,7,3,6,4,5]
[2,1,6,3,5,4,7]=>[2,1,5,6,3,4,7]
[2,1,6,3,5,7,4]=>[2,1,7,6,3,5,4]
[2,1,6,3,7,4,5]=>[2,1,7,6,3,4,5]
[2,1,6,3,7,5,4]=>[2,1,5,7,6,3,4]
[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]=>[2,1,5,6,4,3,7]
[2,1,6,4,5,7,3]=>[2,1,7,6,4,5,3]
[2,1,6,4,7,3,5]=>[2,1,7,6,4,3,5]
[2,1,6,4,7,5,3]=>[2,1,5,7,6,4,3]
[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]
[2,1,6,5,3,7,4]=>[2,1,7,5,6,3,4]
[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]
[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]
[2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]
[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]
[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]
[2,1,6,7,3,5,4]=>[2,1,5,7,3,6,4]
[2,1,6,7,4,3,5]=>[2,1,4,7,3,6,5]
[2,1,6,7,4,5,3]=>[2,1,5,7,4,6,3]
[2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]
[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]
[2,1,7,3,4,6,5]=>[2,1,6,3,7,4,5]
[2,1,7,3,5,4,6]=>[2,1,5,7,3,4,6]
[2,1,7,3,5,6,4]=>[2,1,6,7,3,5,4]
[2,1,7,3,6,4,5]=>[2,1,6,7,3,4,5]
[2,1,7,3,6,5,4]=>[2,1,5,6,7,3,4]
[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]=>[2,1,5,7,4,3,6]
[2,1,7,4,5,6,3]=>[2,1,6,7,4,5,3]
[2,1,7,4,6,3,5]=>[2,1,6,7,4,3,5]
[2,1,7,4,6,5,3]=>[2,1,5,6,7,4,3]
[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]
[2,1,7,5,3,6,4]=>[2,1,6,5,7,3,4]
[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]
[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3]
[2,1,7,5,6,3,4]=>[2,1,6,3,7,5,4]
[2,1,7,5,6,4,3]=>[2,1,4,6,7,5,3]
[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]
[2,1,7,6,3,5,4]=>[2,1,5,6,3,7,4]
[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]
[2,1,7,6,4,5,3]=>[2,1,5,6,4,7,3]
[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]
[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]
[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]=>[3,2,1,7,5,6,4]
[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]
[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]
[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]=>[3,2,1,7,6,5,4]
[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]
[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]
[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]=>[3,2,1,6,7,5,4]
[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]
[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]
[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]
[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]
[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]
[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]
[2,3,4,6,1,7,5]=>[7,2,3,4,6,1,5]
[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]
[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]
[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]
[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]
[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]
[2,3,4,7,1,6,5]=>[6,2,3,4,7,1,5]
[2,3,4,7,5,1,6]=>[5,2,3,4,7,1,6]
[2,3,4,7,5,6,1]=>[6,2,3,4,7,5,1]
[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]
[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]
[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]
[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]
[2,3,5,1,6,4,7]=>[6,2,3,5,1,4,7]
[2,3,5,1,6,7,4]=>[7,2,3,5,1,6,4]
[2,3,5,1,7,4,6]=>[7,2,3,5,1,4,6]
[2,3,5,1,7,6,4]=>[6,2,3,5,1,7,4]
[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]
[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]
[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]
[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]
[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]
[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]
[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]
[2,3,5,6,1,7,4]=>[7,2,3,6,5,1,4]
[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]
[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]
[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]
[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]
[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]
[2,3,5,7,1,6,4]=>[6,2,3,7,5,1,4]
[2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]
[2,3,5,7,4,6,1]=>[6,2,3,7,5,4,1]
[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]
[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]
[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]
[2,3,6,1,4,7,5]=>[7,2,3,1,6,4,5]
[2,3,6,1,5,4,7]=>[5,2,3,6,1,4,7]
[2,3,6,1,5,7,4]=>[7,2,3,6,1,5,4]
[2,3,6,1,7,4,5]=>[7,2,3,6,1,4,5]
[2,3,6,1,7,5,4]=>[5,2,3,7,6,1,4]
[2,3,6,4,1,5,7]=>[4,2,3,6,1,5,7]
[2,3,6,4,1,7,5]=>[4,2,3,7,6,1,5]
[2,3,6,4,5,1,7]=>[5,2,3,6,4,1,7]
[2,3,6,4,5,7,1]=>[7,2,3,6,4,5,1]
[2,3,6,4,7,1,5]=>[7,2,3,6,4,1,5]
[2,3,6,4,7,5,1]=>[5,2,3,7,6,4,1]
[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]
[2,3,6,5,1,7,4]=>[7,2,3,5,6,1,4]
[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]
[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]
[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]
[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]
[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]
[2,3,6,7,1,5,4]=>[5,2,3,7,1,6,4]
[2,3,6,7,4,1,5]=>[4,2,3,7,1,6,5]
[2,3,6,7,4,5,1]=>[5,2,3,7,4,6,1]
[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]
[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]
[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]
[2,3,7,1,4,6,5]=>[6,2,3,1,7,4,5]
[2,3,7,1,5,4,6]=>[5,2,3,7,1,4,6]
[2,3,7,1,5,6,4]=>[6,2,3,7,1,5,4]
[2,3,7,1,6,4,5]=>[6,2,3,7,1,4,5]
[2,3,7,1,6,5,4]=>[5,2,3,6,7,1,4]
[2,3,7,4,1,5,6]=>[4,2,3,7,1,5,6]
[2,3,7,4,1,6,5]=>[4,2,3,6,7,1,5]
[2,3,7,4,5,1,6]=>[5,2,3,7,4,1,6]
[2,3,7,4,5,6,1]=>[6,2,3,7,4,5,1]
[2,3,7,4,6,1,5]=>[6,2,3,7,4,1,5]
[2,3,7,4,6,5,1]=>[5,2,3,6,7,4,1]
[2,3,7,5,1,4,6]=>[5,2,3,1,7,4,6]
[2,3,7,5,1,6,4]=>[6,2,3,5,7,1,4]
[2,3,7,5,4,1,6]=>[4,2,3,5,7,1,6]
[2,3,7,5,4,6,1]=>[6,2,3,5,7,4,1]
[2,3,7,5,6,1,4]=>[6,2,3,1,7,5,4]
[2,3,7,5,6,4,1]=>[4,2,3,6,7,5,1]
[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5]
[2,3,7,6,1,5,4]=>[5,2,3,6,1,7,4]
[2,3,7,6,4,1,5]=>[4,2,3,6,1,7,5]
[2,3,7,6,4,5,1]=>[5,2,3,6,4,7,1]
[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]
[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]
[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]=>[5,2,4,1,3,6,7]
[2,4,1,5,3,7,6]=>[5,2,4,1,3,7,6]
[2,4,1,5,6,3,7]=>[6,2,4,1,5,3,7]
[2,4,1,5,6,7,3]=>[7,2,4,1,5,6,3]
[2,4,1,5,7,3,6]=>[7,2,4,1,5,3,6]
[2,4,1,5,7,6,3]=>[6,2,4,1,5,7,3]
[2,4,1,6,3,5,7]=>[6,2,4,1,3,5,7]
[2,4,1,6,3,7,5]=>[7,2,4,1,6,3,5]
[2,4,1,6,5,3,7]=>[5,2,4,1,6,3,7]
[2,4,1,6,5,7,3]=>[7,2,4,1,6,5,3]
[2,4,1,6,7,3,5]=>[7,2,4,1,3,6,5]
[2,4,1,6,7,5,3]=>[5,2,4,1,7,6,3]
[2,4,1,7,3,5,6]=>[7,2,4,1,3,5,6]
[2,4,1,7,3,6,5]=>[6,2,4,1,7,3,5]
[2,4,1,7,5,3,6]=>[5,2,4,1,7,3,6]
[2,4,1,7,5,6,3]=>[6,2,4,1,7,5,3]
[2,4,1,7,6,3,5]=>[6,2,4,1,3,7,5]
[2,4,1,7,6,5,3]=>[5,2,4,1,6,7,3]
[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]
[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]
[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]
[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]
[2,4,3,1,7,5,6]=>[3,2,4,1,7,5,6]
[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]
[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]
[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]
[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]
[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]
[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]
[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]
[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7]
[2,4,3,6,1,7,5]=>[7,2,4,3,6,1,5]
[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]
[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]
[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5]
[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]
[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]
[2,4,3,7,1,6,5]=>[6,2,4,3,7,1,5]
[2,4,3,7,5,1,6]=>[5,2,4,3,7,1,6]
[2,4,3,7,5,6,1]=>[6,2,4,3,7,5,1]
[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5]
[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]
[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]=>[6,2,5,4,1,3,7]
[2,4,5,1,6,7,3]=>[7,2,5,4,1,6,3]
[2,4,5,1,7,3,6]=>[7,2,5,4,1,3,6]
[2,4,5,1,7,6,3]=>[6,2,5,4,1,7,3]
[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]
[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]
[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]
[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]
[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6]
[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]
[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]
[2,4,5,6,1,7,3]=>[7,2,6,4,5,1,3]
[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]
[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]
[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]
[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]
[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]
[2,4,5,7,1,6,3]=>[6,2,7,4,5,1,3]
[2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]
[2,4,5,7,3,6,1]=>[6,2,7,4,5,3,1]
[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]
[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]
[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]
[2,4,6,1,3,7,5]=>[7,2,1,4,6,3,5]
[2,4,6,1,5,3,7]=>[5,2,6,4,1,3,7]
[2,4,6,1,5,7,3]=>[7,2,6,4,1,5,3]
[2,4,6,1,7,3,5]=>[7,2,6,4,1,3,5]
[2,4,6,1,7,5,3]=>[5,2,7,4,6,1,3]
[2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]
[2,4,6,3,1,7,5]=>[3,2,7,4,6,1,5]
[2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]
[2,4,6,3,5,7,1]=>[7,2,6,4,3,5,1]
[2,4,6,3,7,1,5]=>[7,2,6,4,3,1,5]
[2,4,6,3,7,5,1]=>[5,2,7,4,6,3,1]
[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]
[2,4,6,5,1,7,3]=>[7,2,5,4,6,1,3]
[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]
[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]
[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]
[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]
[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]
[2,4,6,7,1,5,3]=>[5,2,7,4,1,6,3]
[2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]
[2,4,6,7,3,5,1]=>[5,2,7,4,3,6,1]
[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]
[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]
[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]
[2,4,7,1,3,6,5]=>[6,2,1,4,7,3,5]
[2,4,7,1,5,3,6]=>[5,2,7,4,1,3,6]
[2,4,7,1,5,6,3]=>[6,2,7,4,1,5,3]
[2,4,7,1,6,3,5]=>[6,2,7,4,1,3,5]
[2,4,7,1,6,5,3]=>[5,2,6,4,7,1,3]
[2,4,7,3,1,5,6]=>[3,2,7,4,1,5,6]
[2,4,7,3,1,6,5]=>[3,2,6,4,7,1,5]
[2,4,7,3,5,1,6]=>[5,2,7,4,3,1,6]
[2,4,7,3,5,6,1]=>[6,2,7,4,3,5,1]
[2,4,7,3,6,1,5]=>[6,2,7,4,3,1,5]
[2,4,7,3,6,5,1]=>[5,2,6,4,7,3,1]
[2,4,7,5,1,3,6]=>[5,2,1,4,7,3,6]
[2,4,7,5,1,6,3]=>[6,2,5,4,7,1,3]
[2,4,7,5,3,1,6]=>[3,2,5,4,7,1,6]
[2,4,7,5,3,6,1]=>[6,2,5,4,7,3,1]
[2,4,7,5,6,1,3]=>[6,2,1,4,7,5,3]
[2,4,7,5,6,3,1]=>[3,2,6,4,7,5,1]
[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]
[2,4,7,6,1,5,3]=>[5,2,6,4,1,7,3]
[2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]
[2,4,7,6,3,5,1]=>[5,2,6,4,3,7,1]
[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]
[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]
[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]=>[6,2,1,5,3,4,7]
[2,5,1,3,6,7,4]=>[7,2,1,5,3,6,4]
[2,5,1,3,7,4,6]=>[7,2,1,5,3,4,6]
[2,5,1,3,7,6,4]=>[6,2,1,5,3,7,4]
[2,5,1,4,3,6,7]=>[4,2,5,1,3,6,7]
[2,5,1,4,3,7,6]=>[4,2,5,1,3,7,6]
[2,5,1,4,6,3,7]=>[6,2,5,1,4,3,7]
[2,5,1,4,6,7,3]=>[7,2,5,1,4,6,3]
[2,5,1,4,7,3,6]=>[7,2,5,1,4,3,6]
[2,5,1,4,7,6,3]=>[6,2,5,1,4,7,3]
[2,5,1,6,3,4,7]=>[6,2,5,1,3,4,7]
[2,5,1,6,3,7,4]=>[7,2,6,5,1,3,4]
[2,5,1,6,4,3,7]=>[4,2,6,5,1,3,7]
[2,5,1,6,4,7,3]=>[7,2,6,5,1,4,3]
[2,5,1,6,7,3,4]=>[7,2,5,1,3,6,4]
[2,5,1,6,7,4,3]=>[4,2,7,5,1,6,3]
[2,5,1,7,3,4,6]=>[7,2,5,1,3,4,6]
[2,5,1,7,3,6,4]=>[6,2,7,5,1,3,4]
[2,5,1,7,4,3,6]=>[4,2,7,5,1,3,6]
[2,5,1,7,4,6,3]=>[6,2,7,5,1,4,3]
[2,5,1,7,6,3,4]=>[6,2,5,1,3,7,4]
[2,5,1,7,6,4,3]=>[4,2,6,5,1,7,3]
[2,5,3,1,4,6,7]=>[3,2,5,1,4,6,7]
[2,5,3,1,4,7,6]=>[3,2,5,1,4,7,6]
[2,5,3,1,6,4,7]=>[3,2,6,5,1,4,7]
[2,5,3,1,6,7,4]=>[3,2,7,5,1,6,4]
[2,5,3,1,7,4,6]=>[3,2,7,5,1,4,6]
[2,5,3,1,7,6,4]=>[3,2,6,5,1,7,4]
[2,5,3,4,1,6,7]=>[4,2,5,3,1,6,7]
[2,5,3,4,1,7,6]=>[4,2,5,3,1,7,6]
[2,5,3,4,6,1,7]=>[6,2,5,3,4,1,7]
[2,5,3,4,6,7,1]=>[7,2,5,3,4,6,1]
[2,5,3,4,7,1,6]=>[7,2,5,3,4,1,6]
[2,5,3,4,7,6,1]=>[6,2,5,3,4,7,1]
[2,5,3,6,1,4,7]=>[6,2,5,3,1,4,7]
[2,5,3,6,1,7,4]=>[7,2,6,5,3,1,4]
[2,5,3,6,4,1,7]=>[4,2,6,5,3,1,7]
[2,5,3,6,4,7,1]=>[7,2,6,5,3,4,1]
[2,5,3,6,7,1,4]=>[7,2,5,3,1,6,4]
[2,5,3,6,7,4,1]=>[4,2,7,5,3,6,1]
[2,5,3,7,1,4,6]=>[7,2,5,3,1,4,6]
[2,5,3,7,1,6,4]=>[6,2,7,5,3,1,4]
[2,5,3,7,4,1,6]=>[4,2,7,5,3,1,6]
[2,5,3,7,4,6,1]=>[6,2,7,5,3,4,1]
[2,5,3,7,6,1,4]=>[6,2,5,3,1,7,4]
[2,5,3,7,6,4,1]=>[4,2,6,5,3,7,1]
[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]=>[6,2,4,5,1,3,7]
[2,5,4,1,6,7,3]=>[7,2,4,5,1,6,3]
[2,5,4,1,7,3,6]=>[7,2,4,5,1,3,6]
[2,5,4,1,7,6,3]=>[6,2,4,5,1,7,3]
[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]
[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]
[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]
[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]
[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6]
[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]
[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]
[2,5,4,6,1,7,3]=>[7,2,6,5,4,1,3]
[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]
[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]
[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]
[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]
[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6]
[2,5,4,7,1,6,3]=>[6,2,7,5,4,1,3]
[2,5,4,7,3,1,6]=>[3,2,7,5,4,1,6]
[2,5,4,7,3,6,1]=>[6,2,7,5,4,3,1]
[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3]
[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]
[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]
[2,5,6,1,3,7,4]=>[7,2,1,6,5,3,4]
[2,5,6,1,4,3,7]=>[4,2,6,1,5,3,7]
[2,5,6,1,4,7,3]=>[7,2,6,1,5,4,3]
[2,5,6,1,7,3,4]=>[7,2,6,1,5,3,4]
[2,5,6,1,7,4,3]=>[4,2,7,6,5,1,3]
[2,5,6,3,1,4,7]=>[3,2,6,1,5,4,7]
[2,5,6,3,1,7,4]=>[3,2,7,6,5,1,4]
[2,5,6,3,4,1,7]=>[4,2,6,3,5,1,7]
[2,5,6,3,4,7,1]=>[7,2,6,3,5,4,1]
[2,5,6,3,7,1,4]=>[7,2,6,3,5,1,4]
[2,5,6,3,7,4,1]=>[4,2,7,6,5,3,1]
[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]
[2,5,6,4,1,7,3]=>[7,2,4,6,5,1,3]
[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]
[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]
[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]
[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]
[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]
[2,5,6,7,1,4,3]=>[4,2,7,1,5,6,3]
[2,5,6,7,3,1,4]=>[3,2,7,1,5,6,4]
[2,5,6,7,3,4,1]=>[4,2,7,3,5,6,1]
[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]
[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]
[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]
[2,5,7,1,3,6,4]=>[6,2,1,7,5,3,4]
[2,5,7,1,4,3,6]=>[4,2,7,1,5,3,6]
[2,5,7,1,4,6,3]=>[6,2,7,1,5,4,3]
[2,5,7,1,6,3,4]=>[6,2,7,1,5,3,4]
[2,5,7,1,6,4,3]=>[4,2,6,7,5,1,3]
[2,5,7,3,1,4,6]=>[3,2,7,1,5,4,6]
[2,5,7,3,1,6,4]=>[3,2,6,7,5,1,4]
[2,5,7,3,4,1,6]=>[4,2,7,3,5,1,6]
[2,5,7,3,4,6,1]=>[6,2,7,3,5,4,1]
[2,5,7,3,6,1,4]=>[6,2,7,3,5,1,4]
[2,5,7,3,6,4,1]=>[4,2,6,7,5,3,1]
[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]
[2,5,7,4,1,6,3]=>[6,2,4,7,5,1,3]
[2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]
[2,5,7,4,3,6,1]=>[6,2,4,7,5,3,1]
[2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]
[2,5,7,4,6,3,1]=>[3,2,6,7,5,4,1]
[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4]
[2,5,7,6,1,4,3]=>[4,2,6,1,5,7,3]
[2,5,7,6,3,1,4]=>[3,2,6,1,5,7,4]
[2,5,7,6,3,4,1]=>[4,2,6,3,5,7,1]
[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]
[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]
[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]
[2,6,1,3,4,7,5]=>[7,2,1,3,6,4,5]
[2,6,1,3,5,4,7]=>[5,2,1,6,3,4,7]
[2,6,1,3,5,7,4]=>[7,2,1,6,3,5,4]
[2,6,1,3,7,4,5]=>[7,2,1,6,3,4,5]
[2,6,1,3,7,5,4]=>[5,2,1,7,6,3,4]
[2,6,1,4,3,5,7]=>[4,2,6,1,3,5,7]
[2,6,1,4,3,7,5]=>[4,2,7,1,6,3,5]
[2,6,1,4,5,3,7]=>[5,2,6,1,4,3,7]
[2,6,1,4,5,7,3]=>[7,2,6,1,4,5,3]
[2,6,1,4,7,3,5]=>[7,2,6,1,4,3,5]
[2,6,1,4,7,5,3]=>[5,2,7,1,6,4,3]
[2,6,1,5,3,4,7]=>[5,2,6,1,3,4,7]
[2,6,1,5,3,7,4]=>[7,2,5,6,1,3,4]
[2,6,1,5,4,3,7]=>[4,2,5,6,1,3,7]
[2,6,1,5,4,7,3]=>[7,2,5,6,1,4,3]
[2,6,1,5,7,3,4]=>[7,2,6,1,3,5,4]
[2,6,1,5,7,4,3]=>[4,2,7,6,1,5,3]
[2,6,1,7,3,4,5]=>[7,2,6,1,3,4,5]
[2,6,1,7,3,5,4]=>[5,2,7,6,1,3,4]
[2,6,1,7,4,3,5]=>[4,2,7,6,1,3,5]
[2,6,1,7,4,5,3]=>[5,2,7,6,1,4,3]
[2,6,1,7,5,3,4]=>[5,2,7,1,6,3,4]
[2,6,1,7,5,4,3]=>[4,2,5,7,6,1,3]
[2,6,3,1,4,5,7]=>[3,2,6,1,4,5,7]
[2,6,3,1,4,7,5]=>[3,2,7,1,6,4,5]
[2,6,3,1,5,4,7]=>[3,2,5,6,1,4,7]
[2,6,3,1,5,7,4]=>[3,2,7,6,1,5,4]
[2,6,3,1,7,4,5]=>[3,2,7,6,1,4,5]
[2,6,3,1,7,5,4]=>[3,2,5,7,6,1,4]
[2,6,3,4,1,5,7]=>[4,2,6,3,1,5,7]
[2,6,3,4,1,7,5]=>[4,2,7,3,6,1,5]
[2,6,3,4,5,1,7]=>[5,2,6,3,4,1,7]
[2,6,3,4,5,7,1]=>[7,2,6,3,4,5,1]
[2,6,3,4,7,1,5]=>[7,2,6,3,4,1,5]
[2,6,3,4,7,5,1]=>[5,2,7,3,6,4,1]
[2,6,3,5,1,4,7]=>[5,2,6,3,1,4,7]
[2,6,3,5,1,7,4]=>[7,2,5,6,3,1,4]
[2,6,3,5,4,1,7]=>[4,2,5,6,3,1,7]
[2,6,3,5,4,7,1]=>[7,2,5,6,3,4,1]
[2,6,3,5,7,1,4]=>[7,2,6,3,1,5,4]
[2,6,3,5,7,4,1]=>[4,2,7,6,3,5,1]
[2,6,3,7,1,4,5]=>[7,2,6,3,1,4,5]
[2,6,3,7,1,5,4]=>[5,2,7,6,3,1,4]
[2,6,3,7,4,1,5]=>[4,2,7,6,3,1,5]
[2,6,3,7,4,5,1]=>[5,2,7,6,3,4,1]
[2,6,3,7,5,1,4]=>[5,2,7,3,6,1,4]
[2,6,3,7,5,4,1]=>[4,2,5,7,6,3,1]
[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]=>[5,2,4,6,1,3,7]
[2,6,4,1,5,7,3]=>[7,2,4,6,1,5,3]
[2,6,4,1,7,3,5]=>[7,2,4,6,1,3,5]
[2,6,4,1,7,5,3]=>[5,2,4,7,6,1,3]
[2,6,4,3,1,5,7]=>[3,2,4,6,1,5,7]
[2,6,4,3,1,7,5]=>[3,2,4,7,6,1,5]
[2,6,4,3,5,1,7]=>[5,2,4,6,3,1,7]
[2,6,4,3,5,7,1]=>[7,2,4,6,3,5,1]
[2,6,4,3,7,1,5]=>[7,2,4,6,3,1,5]
[2,6,4,3,7,5,1]=>[5,2,4,7,6,3,1]
[2,6,4,5,1,3,7]=>[5,2,1,6,4,3,7]
[2,6,4,5,1,7,3]=>[7,2,5,6,4,1,3]
[2,6,4,5,3,1,7]=>[3,2,5,6,4,1,7]
[2,6,4,5,3,7,1]=>[7,2,5,6,4,3,1]
[2,6,4,5,7,1,3]=>[7,2,1,6,4,5,3]
[2,6,4,5,7,3,1]=>[3,2,7,6,4,5,1]
[2,6,4,7,1,3,5]=>[7,2,1,6,4,3,5]
[2,6,4,7,1,5,3]=>[5,2,7,6,4,1,3]
[2,6,4,7,3,1,5]=>[3,2,7,6,4,1,5]
[2,6,4,7,3,5,1]=>[5,2,7,6,4,3,1]
[2,6,4,7,5,1,3]=>[5,2,1,7,6,4,3]
[2,6,4,7,5,3,1]=>[3,2,5,7,6,4,1]
[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7]
[2,6,5,1,3,7,4]=>[7,2,1,5,6,3,4]
[2,6,5,1,4,3,7]=>[4,2,5,1,6,3,7]
[2,6,5,1,4,7,3]=>[7,2,5,1,6,4,3]
[2,6,5,1,7,3,4]=>[7,2,5,1,6,3,4]
[2,6,5,1,7,4,3]=>[4,2,7,5,6,1,3]
[2,6,5,3,1,4,7]=>[3,2,5,1,6,4,7]
[2,6,5,3,1,7,4]=>[3,2,7,5,6,1,4]
[2,6,5,3,4,1,7]=>[4,2,5,3,6,1,7]
[2,6,5,3,4,7,1]=>[7,2,5,3,6,4,1]
[2,6,5,3,7,1,4]=>[7,2,5,3,6,1,4]
[2,6,5,3,7,4,1]=>[4,2,7,5,6,3,1]
[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]
[2,6,5,4,1,7,3]=>[7,2,4,5,6,1,3]
[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]
[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]
[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]
[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]
[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4]
[2,6,5,7,1,4,3]=>[4,2,7,1,6,5,3]
[2,6,5,7,3,1,4]=>[3,2,7,1,6,5,4]
[2,6,5,7,3,4,1]=>[4,2,7,3,6,5,1]
[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]
[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]
[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]
[2,6,7,1,3,5,4]=>[5,2,1,7,3,6,4]
[2,6,7,1,4,3,5]=>[4,2,7,1,3,6,5]
[2,6,7,1,4,5,3]=>[5,2,7,1,4,6,3]
[2,6,7,1,5,3,4]=>[5,2,7,1,3,6,4]
[2,6,7,1,5,4,3]=>[4,2,5,7,1,6,3]
[2,6,7,3,1,4,5]=>[3,2,7,1,4,6,5]
[2,6,7,3,1,5,4]=>[3,2,5,7,1,6,4]
[2,6,7,3,4,1,5]=>[4,2,7,3,1,6,5]
[2,6,7,3,4,5,1]=>[5,2,7,3,4,6,1]
[2,6,7,3,5,1,4]=>[5,2,7,3,1,6,4]
[2,6,7,3,5,4,1]=>[4,2,5,7,3,6,1]
[2,6,7,4,1,3,5]=>[4,2,1,7,3,6,5]
[2,6,7,4,1,5,3]=>[5,2,4,7,1,6,3]
[2,6,7,4,3,1,5]=>[3,2,4,7,1,6,5]
[2,6,7,4,3,5,1]=>[5,2,4,7,3,6,1]
[2,6,7,4,5,1,3]=>[5,2,1,7,4,6,3]
[2,6,7,4,5,3,1]=>[3,2,5,7,4,6,1]
[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4]
[2,6,7,5,1,4,3]=>[4,2,5,1,7,6,3]
[2,6,7,5,3,1,4]=>[3,2,5,1,7,6,4]
[2,6,7,5,3,4,1]=>[4,2,5,3,7,6,1]
[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]
[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]
[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]
[2,7,1,3,4,6,5]=>[6,2,1,3,7,4,5]
[2,7,1,3,5,4,6]=>[5,2,1,7,3,4,6]
[2,7,1,3,5,6,4]=>[6,2,1,7,3,5,4]
[2,7,1,3,6,4,5]=>[6,2,1,7,3,4,5]
[2,7,1,3,6,5,4]=>[5,2,1,6,7,3,4]
[2,7,1,4,3,5,6]=>[4,2,7,1,3,5,6]
[2,7,1,4,3,6,5]=>[4,2,6,1,7,3,5]
[2,7,1,4,5,3,6]=>[5,2,7,1,4,3,6]
[2,7,1,4,5,6,3]=>[6,2,7,1,4,5,3]
[2,7,1,4,6,3,5]=>[6,2,7,1,4,3,5]
[2,7,1,4,6,5,3]=>[5,2,6,1,7,4,3]
[2,7,1,5,3,4,6]=>[5,2,7,1,3,4,6]
[2,7,1,5,3,6,4]=>[6,2,5,7,1,3,4]
[2,7,1,5,4,3,6]=>[4,2,5,7,1,3,6]
[2,7,1,5,4,6,3]=>[6,2,5,7,1,4,3]
[2,7,1,5,6,3,4]=>[6,2,7,1,3,5,4]
[2,7,1,5,6,4,3]=>[4,2,6,7,1,5,3]
[2,7,1,6,3,4,5]=>[6,2,7,1,3,4,5]
[2,7,1,6,3,5,4]=>[5,2,6,7,1,3,4]
[2,7,1,6,4,3,5]=>[4,2,6,7,1,3,5]
[2,7,1,6,4,5,3]=>[5,2,6,7,1,4,3]
[2,7,1,6,5,3,4]=>[5,2,6,1,7,3,4]
[2,7,1,6,5,4,3]=>[4,2,5,6,7,1,3]
[2,7,3,1,4,5,6]=>[3,2,7,1,4,5,6]
[2,7,3,1,4,6,5]=>[3,2,6,1,7,4,5]
[2,7,3,1,5,4,6]=>[3,2,5,7,1,4,6]
[2,7,3,1,5,6,4]=>[3,2,6,7,1,5,4]
[2,7,3,1,6,4,5]=>[3,2,6,7,1,4,5]
[2,7,3,1,6,5,4]=>[3,2,5,6,7,1,4]
[2,7,3,4,1,5,6]=>[4,2,7,3,1,5,6]
[2,7,3,4,1,6,5]=>[4,2,6,3,7,1,5]
[2,7,3,4,5,1,6]=>[5,2,7,3,4,1,6]
[2,7,3,4,5,6,1]=>[6,2,7,3,4,5,1]
[2,7,3,4,6,1,5]=>[6,2,7,3,4,1,5]
[2,7,3,4,6,5,1]=>[5,2,6,3,7,4,1]
[2,7,3,5,1,4,6]=>[5,2,7,3,1,4,6]
[2,7,3,5,1,6,4]=>[6,2,5,7,3,1,4]
[2,7,3,5,4,1,6]=>[4,2,5,7,3,1,6]
[2,7,3,5,4,6,1]=>[6,2,5,7,3,4,1]
[2,7,3,5,6,1,4]=>[6,2,7,3,1,5,4]
[2,7,3,5,6,4,1]=>[4,2,6,7,3,5,1]
[2,7,3,6,1,4,5]=>[6,2,7,3,1,4,5]
[2,7,3,6,1,5,4]=>[5,2,6,7,3,1,4]
[2,7,3,6,4,1,5]=>[4,2,6,7,3,1,5]
[2,7,3,6,4,5,1]=>[5,2,6,7,3,4,1]
[2,7,3,6,5,1,4]=>[5,2,6,3,7,1,4]
[2,7,3,6,5,4,1]=>[4,2,5,6,7,3,1]
[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]=>[5,2,4,7,1,3,6]
[2,7,4,1,5,6,3]=>[6,2,4,7,1,5,3]
[2,7,4,1,6,3,5]=>[6,2,4,7,1,3,5]
[2,7,4,1,6,5,3]=>[5,2,4,6,7,1,3]
[2,7,4,3,1,5,6]=>[3,2,4,7,1,5,6]
[2,7,4,3,1,6,5]=>[3,2,4,6,7,1,5]
[2,7,4,3,5,1,6]=>[5,2,4,7,3,1,6]
[2,7,4,3,5,6,1]=>[6,2,4,7,3,5,1]
[2,7,4,3,6,1,5]=>[6,2,4,7,3,1,5]
[2,7,4,3,6,5,1]=>[5,2,4,6,7,3,1]
[2,7,4,5,1,3,6]=>[5,2,1,7,4,3,6]
[2,7,4,5,1,6,3]=>[6,2,5,7,4,1,3]
[2,7,4,5,3,1,6]=>[3,2,5,7,4,1,6]
[2,7,4,5,3,6,1]=>[6,2,5,7,4,3,1]
[2,7,4,5,6,1,3]=>[6,2,1,7,4,5,3]
[2,7,4,5,6,3,1]=>[3,2,6,7,4,5,1]
[2,7,4,6,1,3,5]=>[6,2,1,7,4,3,5]
[2,7,4,6,1,5,3]=>[5,2,6,7,4,1,3]
[2,7,4,6,3,1,5]=>[3,2,6,7,4,1,5]
[2,7,4,6,3,5,1]=>[5,2,6,7,4,3,1]
[2,7,4,6,5,1,3]=>[5,2,1,6,7,4,3]
[2,7,4,6,5,3,1]=>[3,2,5,6,7,4,1]
[2,7,5,1,3,4,6]=>[5,2,1,3,7,4,6]
[2,7,5,1,3,6,4]=>[6,2,1,5,7,3,4]
[2,7,5,1,4,3,6]=>[4,2,5,1,7,3,6]
[2,7,5,1,4,6,3]=>[6,2,5,1,7,4,3]
[2,7,5,1,6,3,4]=>[6,2,5,1,7,3,4]
[2,7,5,1,6,4,3]=>[4,2,6,5,7,1,3]
[2,7,5,3,1,4,6]=>[3,2,5,1,7,4,6]
[2,7,5,3,1,6,4]=>[3,2,6,5,7,1,4]
[2,7,5,3,4,1,6]=>[4,2,5,3,7,1,6]
[2,7,5,3,4,6,1]=>[6,2,5,3,7,4,1]
[2,7,5,3,6,1,4]=>[6,2,5,3,7,1,4]
[2,7,5,3,6,4,1]=>[4,2,6,5,7,3,1]
[2,7,5,4,1,3,6]=>[4,2,1,5,7,3,6]
[2,7,5,4,1,6,3]=>[6,2,4,5,7,1,3]
[2,7,5,4,3,1,6]=>[3,2,4,5,7,1,6]
[2,7,5,4,3,6,1]=>[6,2,4,5,7,3,1]
[2,7,5,4,6,1,3]=>[6,2,1,5,7,4,3]
[2,7,5,4,6,3,1]=>[3,2,6,5,7,4,1]
[2,7,5,6,1,3,4]=>[6,2,1,3,7,5,4]
[2,7,5,6,1,4,3]=>[4,2,6,1,7,5,3]
[2,7,5,6,3,1,4]=>[3,2,6,1,7,5,4]
[2,7,5,6,3,4,1]=>[4,2,6,3,7,5,1]
[2,7,5,6,4,1,3]=>[4,2,1,6,7,5,3]
[2,7,5,6,4,3,1]=>[3,2,4,6,7,5,1]
[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5]
[2,7,6,1,3,5,4]=>[5,2,1,6,3,7,4]
[2,7,6,1,4,3,5]=>[4,2,6,1,3,7,5]
[2,7,6,1,4,5,3]=>[5,2,6,1,4,7,3]
[2,7,6,1,5,3,4]=>[5,2,6,1,3,7,4]
[2,7,6,1,5,4,3]=>[4,2,5,6,1,7,3]
[2,7,6,3,1,4,5]=>[3,2,6,1,4,7,5]
[2,7,6,3,1,5,4]=>[3,2,5,6,1,7,4]
[2,7,6,3,4,1,5]=>[4,2,6,3,1,7,5]
[2,7,6,3,4,5,1]=>[5,2,6,3,4,7,1]
[2,7,6,3,5,1,4]=>[5,2,6,3,1,7,4]
[2,7,6,3,5,4,1]=>[4,2,5,6,3,7,1]
[2,7,6,4,1,3,5]=>[4,2,1,6,3,7,5]
[2,7,6,4,1,5,3]=>[5,2,4,6,1,7,3]
[2,7,6,4,3,1,5]=>[3,2,4,6,1,7,5]
[2,7,6,4,3,5,1]=>[5,2,4,6,3,7,1]
[2,7,6,4,5,1,3]=>[5,2,1,6,4,7,3]
[2,7,6,4,5,3,1]=>[3,2,5,6,4,7,1]
[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4]
[2,7,6,5,1,4,3]=>[4,2,5,1,6,7,3]
[2,7,6,5,3,1,4]=>[3,2,5,1,6,7,4]
[2,7,6,5,3,4,1]=>[4,2,5,3,6,7,1]
[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]
[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]
[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]=>[3,1,2,7,5,6,4]
[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]
[3,1,2,5,7,6,4]=>[3,1,2,6,5,7,4]
[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]=>[3,1,2,7,6,5,4]
[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]
[3,1,2,6,7,5,4]=>[3,1,2,5,7,6,4]
[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]=>[3,1,2,6,7,5,4]
[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]
[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]
[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]=>[5,3,1,4,2,6,7]
[3,1,4,5,2,7,6]=>[5,3,1,4,2,7,6]
[3,1,4,5,6,2,7]=>[6,3,1,4,5,2,7]
[3,1,4,5,6,7,2]=>[7,3,1,4,5,6,2]
[3,1,4,5,7,2,6]=>[7,3,1,4,5,2,6]
[3,1,4,5,7,6,2]=>[6,3,1,4,5,7,2]
[3,1,4,6,2,5,7]=>[6,3,1,4,2,5,7]
[3,1,4,6,2,7,5]=>[7,3,1,4,6,2,5]
[3,1,4,6,5,2,7]=>[5,3,1,4,6,2,7]
[3,1,4,6,5,7,2]=>[7,3,1,4,6,5,2]
[3,1,4,6,7,2,5]=>[7,3,1,4,2,6,5]
[3,1,4,6,7,5,2]=>[5,3,1,4,7,6,2]
[3,1,4,7,2,5,6]=>[7,3,1,4,2,5,6]
[3,1,4,7,2,6,5]=>[6,3,1,4,7,2,5]
[3,1,4,7,5,2,6]=>[5,3,1,4,7,2,6]
[3,1,4,7,5,6,2]=>[6,3,1,4,7,5,2]
[3,1,4,7,6,2,5]=>[6,3,1,4,2,7,5]
[3,1,4,7,6,5,2]=>[5,3,1,4,6,7,2]
[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]=>[6,3,1,5,2,4,7]
[3,1,5,2,6,7,4]=>[7,3,1,5,2,6,4]
[3,1,5,2,7,4,6]=>[7,3,1,5,2,4,6]
[3,1,5,2,7,6,4]=>[6,3,1,5,2,7,4]
[3,1,5,4,2,6,7]=>[4,3,1,5,2,6,7]
[3,1,5,4,2,7,6]=>[4,3,1,5,2,7,6]
[3,1,5,4,6,2,7]=>[6,3,1,5,4,2,7]
[3,1,5,4,6,7,2]=>[7,3,1,5,4,6,2]
[3,1,5,4,7,2,6]=>[7,3,1,5,4,2,6]
[3,1,5,4,7,6,2]=>[6,3,1,5,4,7,2]
[3,1,5,6,2,4,7]=>[6,3,1,2,5,4,7]
[3,1,5,6,2,7,4]=>[7,3,1,6,5,2,4]
[3,1,5,6,4,2,7]=>[4,3,1,6,5,2,7]
[3,1,5,6,4,7,2]=>[7,3,1,6,5,4,2]
[3,1,5,6,7,2,4]=>[7,3,1,2,5,6,4]
[3,1,5,6,7,4,2]=>[4,3,1,7,5,6,2]
[3,1,5,7,2,4,6]=>[7,3,1,2,5,4,6]
[3,1,5,7,2,6,4]=>[6,3,1,7,5,2,4]
[3,1,5,7,4,2,6]=>[4,3,1,7,5,2,6]
[3,1,5,7,4,6,2]=>[6,3,1,7,5,4,2]
[3,1,5,7,6,2,4]=>[6,3,1,2,5,7,4]
[3,1,5,7,6,4,2]=>[4,3,1,6,5,7,2]
[3,1,6,2,4,5,7]=>[6,3,1,2,4,5,7]
[3,1,6,2,4,7,5]=>[7,3,1,2,6,4,5]
[3,1,6,2,5,4,7]=>[5,3,1,6,2,4,7]
[3,1,6,2,5,7,4]=>[7,3,1,6,2,5,4]
[3,1,6,2,7,4,5]=>[7,3,1,6,2,4,5]
[3,1,6,2,7,5,4]=>[5,3,1,7,6,2,4]
[3,1,6,4,2,5,7]=>[4,3,1,6,2,5,7]
[3,1,6,4,2,7,5]=>[4,3,1,7,6,2,5]
[3,1,6,4,5,2,7]=>[5,3,1,6,4,2,7]
[3,1,6,4,5,7,2]=>[7,3,1,6,4,5,2]
[3,1,6,4,7,2,5]=>[7,3,1,6,4,2,5]
[3,1,6,4,7,5,2]=>[5,3,1,7,6,4,2]
[3,1,6,5,2,4,7]=>[5,3,1,2,6,4,7]
[3,1,6,5,2,7,4]=>[7,3,1,5,6,2,4]
[3,1,6,5,4,2,7]=>[4,3,1,5,6,2,7]
[3,1,6,5,4,7,2]=>[7,3,1,5,6,4,2]
[3,1,6,5,7,2,4]=>[7,3,1,2,6,5,4]
[3,1,6,5,7,4,2]=>[4,3,1,7,6,5,2]
[3,1,6,7,2,4,5]=>[7,3,1,2,4,6,5]
[3,1,6,7,2,5,4]=>[5,3,1,7,2,6,4]
[3,1,6,7,4,2,5]=>[4,3,1,7,2,6,5]
[3,1,6,7,4,5,2]=>[5,3,1,7,4,6,2]
[3,1,6,7,5,2,4]=>[5,3,1,2,7,6,4]
[3,1,6,7,5,4,2]=>[4,3,1,5,7,6,2]
[3,1,7,2,4,5,6]=>[7,3,1,2,4,5,6]
[3,1,7,2,4,6,5]=>[6,3,1,2,7,4,5]
[3,1,7,2,5,4,6]=>[5,3,1,7,2,4,6]
[3,1,7,2,5,6,4]=>[6,3,1,7,2,5,4]
[3,1,7,2,6,4,5]=>[6,3,1,7,2,4,5]
[3,1,7,2,6,5,4]=>[5,3,1,6,7,2,4]
[3,1,7,4,2,5,6]=>[4,3,1,7,2,5,6]
[3,1,7,4,2,6,5]=>[4,3,1,6,7,2,5]
[3,1,7,4,5,2,6]=>[5,3,1,7,4,2,6]
[3,1,7,4,5,6,2]=>[6,3,1,7,4,5,2]
[3,1,7,4,6,2,5]=>[6,3,1,7,4,2,5]
[3,1,7,4,6,5,2]=>[5,3,1,6,7,4,2]
[3,1,7,5,2,4,6]=>[5,3,1,2,7,4,6]
[3,1,7,5,2,6,4]=>[6,3,1,5,7,2,4]
[3,1,7,5,4,2,6]=>[4,3,1,5,7,2,6]
[3,1,7,5,4,6,2]=>[6,3,1,5,7,4,2]
[3,1,7,5,6,2,4]=>[6,3,1,2,7,5,4]
[3,1,7,5,6,4,2]=>[4,3,1,6,7,5,2]
[3,1,7,6,2,4,5]=>[6,3,1,2,4,7,5]
[3,1,7,6,2,5,4]=>[5,3,1,6,2,7,4]
[3,1,7,6,4,2,5]=>[4,3,1,6,2,7,5]
[3,1,7,6,4,5,2]=>[5,3,1,6,4,7,2]
[3,1,7,6,5,2,4]=>[5,3,1,2,6,7,4]
[3,1,7,6,5,4,2]=>[4,3,1,5,6,7,2]
[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]=>[2,3,1,7,5,6,4]
[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6]
[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]
[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]=>[2,3,1,7,6,5,4]
[3,2,1,6,7,4,5]=>[2,3,1,7,4,6,5]
[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]
[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]=>[2,3,1,6,7,5,4]
[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]
[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]
[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]
[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]
[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]
[3,2,4,1,7,5,6]=>[4,3,2,1,7,5,6]
[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]
[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]
[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]
[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]
[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]
[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]
[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1]
[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7]
[3,2,4,6,1,7,5]=>[7,3,2,4,6,1,5]
[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]
[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]
[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]
[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]
[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]
[3,2,4,7,1,6,5]=>[6,3,2,4,7,1,5]
[3,2,4,7,5,1,6]=>[5,3,2,4,7,1,6]
[3,2,4,7,5,6,1]=>[6,3,2,4,7,5,1]
[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5]
[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1]
[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]
[3,2,5,1,4,7,6]=>[5,3,2,1,4,7,6]
[3,2,5,1,6,4,7]=>[6,3,2,5,1,4,7]
[3,2,5,1,6,7,4]=>[7,3,2,5,1,6,4]
[3,2,5,1,7,4,6]=>[7,3,2,5,1,4,6]
[3,2,5,1,7,6,4]=>[6,3,2,5,1,7,4]
[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]
[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]
[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]
[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]
[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]
[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]
[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7]
[3,2,5,6,1,7,4]=>[7,3,2,6,5,1,4]
[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]
[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]
[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]
[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]
[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]
[3,2,5,7,1,6,4]=>[6,3,2,7,5,1,4]
[3,2,5,7,4,1,6]=>[4,3,2,7,5,1,6]
[3,2,5,7,4,6,1]=>[6,3,2,7,5,4,1]
[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4]
[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]
[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]
[3,2,6,1,4,7,5]=>[7,3,2,1,6,4,5]
[3,2,6,1,5,4,7]=>[5,3,2,6,1,4,7]
[3,2,6,1,5,7,4]=>[7,3,2,6,1,5,4]
[3,2,6,1,7,4,5]=>[7,3,2,6,1,4,5]
[3,2,6,1,7,5,4]=>[5,3,2,7,6,1,4]
[3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]
[3,2,6,4,1,7,5]=>[4,3,2,7,6,1,5]
[3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]
[3,2,6,4,5,7,1]=>[7,3,2,6,4,5,1]
[3,2,6,4,7,1,5]=>[7,3,2,6,4,1,5]
[3,2,6,4,7,5,1]=>[5,3,2,7,6,4,1]
[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7]
[3,2,6,5,1,7,4]=>[7,3,2,5,6,1,4]
[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]
[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]
[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4]
[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]
[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]
[3,2,6,7,1,5,4]=>[5,3,2,7,1,6,4]
[3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]
[3,2,6,7,4,5,1]=>[5,3,2,7,4,6,1]
[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4]
[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]
[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]
[3,2,7,1,4,6,5]=>[6,3,2,1,7,4,5]
[3,2,7,1,5,4,6]=>[5,3,2,7,1,4,6]
[3,2,7,1,5,6,4]=>[6,3,2,7,1,5,4]
[3,2,7,1,6,4,5]=>[6,3,2,7,1,4,5]
[3,2,7,1,6,5,4]=>[5,3,2,6,7,1,4]
[3,2,7,4,1,5,6]=>[4,3,2,7,1,5,6]
[3,2,7,4,1,6,5]=>[4,3,2,6,7,1,5]
[3,2,7,4,5,1,6]=>[5,3,2,7,4,1,6]
[3,2,7,4,5,6,1]=>[6,3,2,7,4,5,1]
[3,2,7,4,6,1,5]=>[6,3,2,7,4,1,5]
[3,2,7,4,6,5,1]=>[5,3,2,6,7,4,1]
[3,2,7,5,1,4,6]=>[5,3,2,1,7,4,6]
[3,2,7,5,1,6,4]=>[6,3,2,5,7,1,4]
[3,2,7,5,4,1,6]=>[4,3,2,5,7,1,6]
[3,2,7,5,4,6,1]=>[6,3,2,5,7,4,1]
[3,2,7,5,6,1,4]=>[6,3,2,1,7,5,4]
[3,2,7,5,6,4,1]=>[4,3,2,6,7,5,1]
[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]
[3,2,7,6,1,5,4]=>[5,3,2,6,1,7,4]
[3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]
[3,2,7,6,4,5,1]=>[5,3,2,6,4,7,1]
[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4]
[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]
[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]=>[5,4,3,1,2,6,7]
[3,4,1,5,2,7,6]=>[5,4,3,1,2,7,6]
[3,4,1,5,6,2,7]=>[6,4,3,1,5,2,7]
[3,4,1,5,6,7,2]=>[7,4,3,1,5,6,2]
[3,4,1,5,7,2,6]=>[7,4,3,1,5,2,6]
[3,4,1,5,7,6,2]=>[6,4,3,1,5,7,2]
[3,4,1,6,2,5,7]=>[6,4,3,1,2,5,7]
[3,4,1,6,2,7,5]=>[7,4,3,1,6,2,5]
[3,4,1,6,5,2,7]=>[5,4,3,1,6,2,7]
[3,4,1,6,5,7,2]=>[7,4,3,1,6,5,2]
[3,4,1,6,7,2,5]=>[7,4,3,1,2,6,5]
[3,4,1,6,7,5,2]=>[5,4,3,1,7,6,2]
[3,4,1,7,2,5,6]=>[7,4,3,1,2,5,6]
[3,4,1,7,2,6,5]=>[6,4,3,1,7,2,5]
[3,4,1,7,5,2,6]=>[5,4,3,1,7,2,6]
[3,4,1,7,5,6,2]=>[6,4,3,1,7,5,2]
[3,4,1,7,6,2,5]=>[6,4,3,1,2,7,5]
[3,4,1,7,6,5,2]=>[5,4,3,1,6,7,2]
[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]
[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]
[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]
[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]
[3,4,2,1,7,5,6]=>[2,4,3,1,7,5,6]
[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]
[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]
[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]
[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]
[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]
[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]
[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1]
[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7]
[3,4,2,6,1,7,5]=>[7,4,3,2,6,1,5]
[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]
[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]
[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]
[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]
[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]
[3,4,2,7,1,6,5]=>[6,4,3,2,7,1,5]
[3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]
[3,4,2,7,5,6,1]=>[6,4,3,2,7,5,1]
[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5]
[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1]
[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]
[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]
[3,4,5,1,6,2,7]=>[6,5,3,4,1,2,7]
[3,4,5,1,6,7,2]=>[7,5,3,4,1,6,2]
[3,4,5,1,7,2,6]=>[7,5,3,4,1,2,6]
[3,4,5,1,7,6,2]=>[6,5,3,4,1,7,2]
[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]
[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]
[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]
[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]
[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]
[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1]
[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]
[3,4,5,6,1,7,2]=>[7,6,3,4,5,1,2]
[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]
[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]
[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]
[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]
[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]
[3,4,5,7,1,6,2]=>[6,7,3,4,5,1,2]
[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]
[3,4,5,7,2,6,1]=>[6,7,3,4,5,2,1]
[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2]
[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]
[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]
[3,4,6,1,2,7,5]=>[7,1,3,4,6,2,5]
[3,4,6,1,5,2,7]=>[5,6,3,4,1,2,7]
[3,4,6,1,5,7,2]=>[7,6,3,4,1,5,2]
[3,4,6,1,7,2,5]=>[7,6,3,4,1,2,5]
[3,4,6,1,7,5,2]=>[5,7,3,4,6,1,2]
[3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]
[3,4,6,2,1,7,5]=>[2,7,3,4,6,1,5]
[3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]
[3,4,6,2,5,7,1]=>[7,6,3,4,2,5,1]
[3,4,6,2,7,1,5]=>[7,6,3,4,2,1,5]
[3,4,6,2,7,5,1]=>[5,7,3,4,6,2,1]
[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7]
[3,4,6,5,1,7,2]=>[7,5,3,4,6,1,2]
[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]
[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]
[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2]
[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]
[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]
[3,4,6,7,1,5,2]=>[5,7,3,4,1,6,2]
[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]
[3,4,6,7,2,5,1]=>[5,7,3,4,2,6,1]
[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2]
[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]
[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]
[3,4,7,1,2,6,5]=>[6,1,3,4,7,2,5]
[3,4,7,1,5,2,6]=>[5,7,3,4,1,2,6]
[3,4,7,1,5,6,2]=>[6,7,3,4,1,5,2]
[3,4,7,1,6,2,5]=>[6,7,3,4,1,2,5]
[3,4,7,1,6,5,2]=>[5,6,3,4,7,1,2]
[3,4,7,2,1,5,6]=>[2,7,3,4,1,5,6]
[3,4,7,2,1,6,5]=>[2,6,3,4,7,1,5]
[3,4,7,2,5,1,6]=>[5,7,3,4,2,1,6]
[3,4,7,2,5,6,1]=>[6,7,3,4,2,5,1]
[3,4,7,2,6,1,5]=>[6,7,3,4,2,1,5]
[3,4,7,2,6,5,1]=>[5,6,3,4,7,2,1]
[3,4,7,5,1,2,6]=>[5,1,3,4,7,2,6]
[3,4,7,5,1,6,2]=>[6,5,3,4,7,1,2]
[3,4,7,5,2,1,6]=>[2,5,3,4,7,1,6]
[3,4,7,5,2,6,1]=>[6,5,3,4,7,2,1]
[3,4,7,5,6,1,2]=>[6,1,3,4,7,5,2]
[3,4,7,5,6,2,1]=>[2,6,3,4,7,5,1]
[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5]
[3,4,7,6,1,5,2]=>[5,6,3,4,1,7,2]
[3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]
[3,4,7,6,2,5,1]=>[5,6,3,4,2,7,1]
[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2]
[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]
[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]=>[6,1,3,5,2,4,7]
[3,5,1,2,6,7,4]=>[7,1,3,5,2,6,4]
[3,5,1,2,7,4,6]=>[7,1,3,5,2,4,6]
[3,5,1,2,7,6,4]=>[6,1,3,5,2,7,4]
[3,5,1,4,2,6,7]=>[4,5,3,1,2,6,7]
[3,5,1,4,2,7,6]=>[4,5,3,1,2,7,6]
[3,5,1,4,6,2,7]=>[6,5,3,1,4,2,7]
[3,5,1,4,6,7,2]=>[7,5,3,1,4,6,2]
[3,5,1,4,7,2,6]=>[7,5,3,1,4,2,6]
[3,5,1,4,7,6,2]=>[6,5,3,1,4,7,2]
[3,5,1,6,2,4,7]=>[6,5,3,1,2,4,7]
[3,5,1,6,2,7,4]=>[7,6,3,5,1,2,4]
[3,5,1,6,4,2,7]=>[4,6,3,5,1,2,7]
[3,5,1,6,4,7,2]=>[7,6,3,5,1,4,2]
[3,5,1,6,7,2,4]=>[7,5,3,1,2,6,4]
[3,5,1,6,7,4,2]=>[4,7,3,5,1,6,2]
[3,5,1,7,2,4,6]=>[7,5,3,1,2,4,6]
[3,5,1,7,2,6,4]=>[6,7,3,5,1,2,4]
[3,5,1,7,4,2,6]=>[4,7,3,5,1,2,6]
[3,5,1,7,4,6,2]=>[6,7,3,5,1,4,2]
[3,5,1,7,6,2,4]=>[6,5,3,1,2,7,4]
[3,5,1,7,6,4,2]=>[4,6,3,5,1,7,2]
[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]
[3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6]
[3,5,2,1,6,4,7]=>[2,6,3,5,1,4,7]
[3,5,2,1,6,7,4]=>[2,7,3,5,1,6,4]
[3,5,2,1,7,4,6]=>[2,7,3,5,1,4,6]
[3,5,2,1,7,6,4]=>[2,6,3,5,1,7,4]
[3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]
[3,5,2,4,1,7,6]=>[4,5,3,2,1,7,6]
[3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]
[3,5,2,4,6,7,1]=>[7,5,3,2,4,6,1]
[3,5,2,4,7,1,6]=>[7,5,3,2,4,1,6]
[3,5,2,4,7,6,1]=>[6,5,3,2,4,7,1]
[3,5,2,6,1,4,7]=>[6,5,3,2,1,4,7]
[3,5,2,6,1,7,4]=>[7,6,3,5,2,1,4]
[3,5,2,6,4,1,7]=>[4,6,3,5,2,1,7]
[3,5,2,6,4,7,1]=>[7,6,3,5,2,4,1]
[3,5,2,6,7,1,4]=>[7,5,3,2,1,6,4]
[3,5,2,6,7,4,1]=>[4,7,3,5,2,6,1]
[3,5,2,7,1,4,6]=>[7,5,3,2,1,4,6]
[3,5,2,7,1,6,4]=>[6,7,3,5,2,1,4]
[3,5,2,7,4,1,6]=>[4,7,3,5,2,1,6]
[3,5,2,7,4,6,1]=>[6,7,3,5,2,4,1]
[3,5,2,7,6,1,4]=>[6,5,3,2,1,7,4]
[3,5,2,7,6,4,1]=>[4,6,3,5,2,7,1]
[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7]
[3,5,4,1,2,7,6]=>[4,1,3,5,2,7,6]
[3,5,4,1,6,2,7]=>[6,4,3,5,1,2,7]
[3,5,4,1,6,7,2]=>[7,4,3,5,1,6,2]
[3,5,4,1,7,2,6]=>[7,4,3,5,1,2,6]
[3,5,4,1,7,6,2]=>[6,4,3,5,1,7,2]
[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]
[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]
[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]
[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]
[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6]
[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1]
[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7]
[3,5,4,6,1,7,2]=>[7,6,3,5,4,1,2]
[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]
[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]
[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2]
[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]
[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6]
[3,5,4,7,1,6,2]=>[6,7,3,5,4,1,2]
[3,5,4,7,2,1,6]=>[2,7,3,5,4,1,6]
[3,5,4,7,2,6,1]=>[6,7,3,5,4,2,1]
[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2]
[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]
[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]
[3,5,6,1,2,7,4]=>[7,1,3,6,5,2,4]
[3,5,6,1,4,2,7]=>[4,6,3,1,5,2,7]
[3,5,6,1,4,7,2]=>[7,6,3,1,5,4,2]
[3,5,6,1,7,2,4]=>[7,6,3,1,5,2,4]
[3,5,6,1,7,4,2]=>[4,7,3,6,5,1,2]
[3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]
[3,5,6,2,1,7,4]=>[2,7,3,6,5,1,4]
[3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]
[3,5,6,2,4,7,1]=>[7,6,3,2,5,4,1]
[3,5,6,2,7,1,4]=>[7,6,3,2,5,1,4]
[3,5,6,2,7,4,1]=>[4,7,3,6,5,2,1]
[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7]
[3,5,6,4,1,7,2]=>[7,4,3,6,5,1,2]
[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]
[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]
[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2]
[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]
[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]
[3,5,6,7,1,4,2]=>[4,7,3,1,5,6,2]
[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]
[3,5,6,7,2,4,1]=>[4,7,3,2,5,6,1]
[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2]
[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]
[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]
[3,5,7,1,2,6,4]=>[6,1,3,7,5,2,4]
[3,5,7,1,4,2,6]=>[4,7,3,1,5,2,6]
[3,5,7,1,4,6,2]=>[6,7,3,1,5,4,2]
[3,5,7,1,6,2,4]=>[6,7,3,1,5,2,4]
[3,5,7,1,6,4,2]=>[4,6,3,7,5,1,2]
[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]
[3,5,7,2,1,6,4]=>[2,6,3,7,5,1,4]
[3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]
[3,5,7,2,4,6,1]=>[6,7,3,2,5,4,1]
[3,5,7,2,6,1,4]=>[6,7,3,2,5,1,4]
[3,5,7,2,6,4,1]=>[4,6,3,7,5,2,1]
[3,5,7,4,1,2,6]=>[4,1,3,7,5,2,6]
[3,5,7,4,1,6,2]=>[6,4,3,7,5,1,2]
[3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]
[3,5,7,4,2,6,1]=>[6,4,3,7,5,2,1]
[3,5,7,4,6,1,2]=>[6,1,3,7,5,4,2]
[3,5,7,4,6,2,1]=>[2,6,3,7,5,4,1]
[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4]
[3,5,7,6,1,4,2]=>[4,6,3,1,5,7,2]
[3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]
[3,5,7,6,2,4,1]=>[4,6,3,2,5,7,1]
[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2]
[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]
[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]
[3,6,1,2,4,7,5]=>[7,1,3,2,6,4,5]
[3,6,1,2,5,4,7]=>[5,1,3,6,2,4,7]
[3,6,1,2,5,7,4]=>[7,1,3,6,2,5,4]
[3,6,1,2,7,4,5]=>[7,1,3,6,2,4,5]
[3,6,1,2,7,5,4]=>[5,1,3,7,6,2,4]
[3,6,1,4,2,5,7]=>[4,6,3,1,2,5,7]
[3,6,1,4,2,7,5]=>[4,7,3,1,6,2,5]
[3,6,1,4,5,2,7]=>[5,6,3,1,4,2,7]
[3,6,1,4,5,7,2]=>[7,6,3,1,4,5,2]
[3,6,1,4,7,2,5]=>[7,6,3,1,4,2,5]
[3,6,1,4,7,5,2]=>[5,7,3,1,6,4,2]
[3,6,1,5,2,4,7]=>[5,6,3,1,2,4,7]
[3,6,1,5,2,7,4]=>[7,5,3,6,1,2,4]
[3,6,1,5,4,2,7]=>[4,5,3,6,1,2,7]
[3,6,1,5,4,7,2]=>[7,5,3,6,1,4,2]
[3,6,1,5,7,2,4]=>[7,6,3,1,2,5,4]
[3,6,1,5,7,4,2]=>[4,7,3,6,1,5,2]
[3,6,1,7,2,4,5]=>[7,6,3,1,2,4,5]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,2,4]
[3,6,1,7,4,2,5]=>[4,7,3,6,1,2,5]
[3,6,1,7,4,5,2]=>[5,7,3,6,1,4,2]
[3,6,1,7,5,2,4]=>[5,7,3,1,6,2,4]
[3,6,1,7,5,4,2]=>[4,5,3,7,6,1,2]
[3,6,2,1,4,5,7]=>[2,6,3,1,4,5,7]
[3,6,2,1,4,7,5]=>[2,7,3,1,6,4,5]
[3,6,2,1,5,4,7]=>[2,5,3,6,1,4,7]
[3,6,2,1,5,7,4]=>[2,7,3,6,1,5,4]
[3,6,2,1,7,4,5]=>[2,7,3,6,1,4,5]
[3,6,2,1,7,5,4]=>[2,5,3,7,6,1,4]
[3,6,2,4,1,5,7]=>[4,6,3,2,1,5,7]
[3,6,2,4,1,7,5]=>[4,7,3,2,6,1,5]
[3,6,2,4,5,1,7]=>[5,6,3,2,4,1,7]
[3,6,2,4,5,7,1]=>[7,6,3,2,4,5,1]
[3,6,2,4,7,1,5]=>[7,6,3,2,4,1,5]
[3,6,2,4,7,5,1]=>[5,7,3,2,6,4,1]
[3,6,2,5,1,4,7]=>[5,6,3,2,1,4,7]
[3,6,2,5,1,7,4]=>[7,5,3,6,2,1,4]
[3,6,2,5,4,1,7]=>[4,5,3,6,2,1,7]
[3,6,2,5,4,7,1]=>[7,5,3,6,2,4,1]
[3,6,2,5,7,1,4]=>[7,6,3,2,1,5,4]
[3,6,2,5,7,4,1]=>[4,7,3,6,2,5,1]
[3,6,2,7,1,4,5]=>[7,6,3,2,1,4,5]
[3,6,2,7,1,5,4]=>[5,7,3,6,2,1,4]
[3,6,2,7,4,1,5]=>[4,7,3,6,2,1,5]
[3,6,2,7,4,5,1]=>[5,7,3,6,2,4,1]
[3,6,2,7,5,1,4]=>[5,7,3,2,6,1,4]
[3,6,2,7,5,4,1]=>[4,5,3,7,6,2,1]
[3,6,4,1,2,5,7]=>[4,1,3,6,2,5,7]
[3,6,4,1,2,7,5]=>[4,1,3,7,6,2,5]
[3,6,4,1,5,2,7]=>[5,4,3,6,1,2,7]
[3,6,4,1,5,7,2]=>[7,4,3,6,1,5,2]
[3,6,4,1,7,2,5]=>[7,4,3,6,1,2,5]
[3,6,4,1,7,5,2]=>[5,4,3,7,6,1,2]
[3,6,4,2,1,5,7]=>[2,4,3,6,1,5,7]
[3,6,4,2,1,7,5]=>[2,4,3,7,6,1,5]
[3,6,4,2,5,1,7]=>[5,4,3,6,2,1,7]
[3,6,4,2,5,7,1]=>[7,4,3,6,2,5,1]
[3,6,4,2,7,1,5]=>[7,4,3,6,2,1,5]
[3,6,4,2,7,5,1]=>[5,4,3,7,6,2,1]
[3,6,4,5,1,2,7]=>[5,1,3,6,4,2,7]
[3,6,4,5,1,7,2]=>[7,5,3,6,4,1,2]
[3,6,4,5,2,1,7]=>[2,5,3,6,4,1,7]
[3,6,4,5,2,7,1]=>[7,5,3,6,4,2,1]
[3,6,4,5,7,1,2]=>[7,1,3,6,4,5,2]
[3,6,4,5,7,2,1]=>[2,7,3,6,4,5,1]
[3,6,4,7,1,2,5]=>[7,1,3,6,4,2,5]
[3,6,4,7,1,5,2]=>[5,7,3,6,4,1,2]
[3,6,4,7,2,1,5]=>[2,7,3,6,4,1,5]
[3,6,4,7,2,5,1]=>[5,7,3,6,4,2,1]
[3,6,4,7,5,1,2]=>[5,1,3,7,6,4,2]
[3,6,4,7,5,2,1]=>[2,5,3,7,6,4,1]
[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7]
[3,6,5,1,2,7,4]=>[7,1,3,5,6,2,4]
[3,6,5,1,4,2,7]=>[4,5,3,1,6,2,7]
[3,6,5,1,4,7,2]=>[7,5,3,1,6,4,2]
[3,6,5,1,7,2,4]=>[7,5,3,1,6,2,4]
[3,6,5,1,7,4,2]=>[4,7,3,5,6,1,2]
[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]
[3,6,5,2,1,7,4]=>[2,7,3,5,6,1,4]
[3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]
[3,6,5,2,4,7,1]=>[7,5,3,2,6,4,1]
[3,6,5,2,7,1,4]=>[7,5,3,2,6,1,4]
[3,6,5,2,7,4,1]=>[4,7,3,5,6,2,1]
[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7]
[3,6,5,4,1,7,2]=>[7,4,3,5,6,1,2]
[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]
[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]
[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2]
[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]
[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4]
[3,6,5,7,1,4,2]=>[4,7,3,1,6,5,2]
[3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]
[3,6,5,7,2,4,1]=>[4,7,3,2,6,5,1]
[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2]
[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]
[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]
[3,6,7,1,2,5,4]=>[5,1,3,7,2,6,4]
[3,6,7,1,4,2,5]=>[4,7,3,1,2,6,5]
[3,6,7,1,4,5,2]=>[5,7,3,1,4,6,2]
[3,6,7,1,5,2,4]=>[5,7,3,1,2,6,4]
[3,6,7,1,5,4,2]=>[4,5,3,7,1,6,2]
[3,6,7,2,1,4,5]=>[2,7,3,1,4,6,5]
[3,6,7,2,1,5,4]=>[2,5,3,7,1,6,4]
[3,6,7,2,4,1,5]=>[4,7,3,2,1,6,5]
[3,6,7,2,4,5,1]=>[5,7,3,2,4,6,1]
[3,6,7,2,5,1,4]=>[5,7,3,2,1,6,4]
[3,6,7,2,5,4,1]=>[4,5,3,7,2,6,1]
[3,6,7,4,1,2,5]=>[4,1,3,7,2,6,5]
[3,6,7,4,1,5,2]=>[5,4,3,7,1,6,2]
[3,6,7,4,2,1,5]=>[2,4,3,7,1,6,5]
[3,6,7,4,2,5,1]=>[5,4,3,7,2,6,1]
[3,6,7,4,5,1,2]=>[5,1,3,7,4,6,2]
[3,6,7,4,5,2,1]=>[2,5,3,7,4,6,1]
[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4]
[3,6,7,5,1,4,2]=>[4,5,3,1,7,6,2]
[3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]
[3,6,7,5,2,4,1]=>[4,5,3,2,7,6,1]
[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2]
[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]
[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]
[3,7,1,2,4,6,5]=>[6,1,3,2,7,4,5]
[3,7,1,2,5,4,6]=>[5,1,3,7,2,4,6]
[3,7,1,2,5,6,4]=>[6,1,3,7,2,5,4]
[3,7,1,2,6,4,5]=>[6,1,3,7,2,4,5]
[3,7,1,2,6,5,4]=>[5,1,3,6,7,2,4]
[3,7,1,4,2,5,6]=>[4,7,3,1,2,5,6]
[3,7,1,4,2,6,5]=>[4,6,3,1,7,2,5]
[3,7,1,4,5,2,6]=>[5,7,3,1,4,2,6]
[3,7,1,4,5,6,2]=>[6,7,3,1,4,5,2]
[3,7,1,4,6,2,5]=>[6,7,3,1,4,2,5]
[3,7,1,4,6,5,2]=>[5,6,3,1,7,4,2]
[3,7,1,5,2,4,6]=>[5,7,3,1,2,4,6]
[3,7,1,5,2,6,4]=>[6,5,3,7,1,2,4]
[3,7,1,5,4,2,6]=>[4,5,3,7,1,2,6]
[3,7,1,5,4,6,2]=>[6,5,3,7,1,4,2]
[3,7,1,5,6,2,4]=>[6,7,3,1,2,5,4]
[3,7,1,5,6,4,2]=>[4,6,3,7,1,5,2]
[3,7,1,6,2,4,5]=>[6,7,3,1,2,4,5]
[3,7,1,6,2,5,4]=>[5,6,3,7,1,2,4]
[3,7,1,6,4,2,5]=>[4,6,3,7,1,2,5]
[3,7,1,6,4,5,2]=>[5,6,3,7,1,4,2]
[3,7,1,6,5,2,4]=>[5,6,3,1,7,2,4]
[3,7,1,6,5,4,2]=>[4,5,3,6,7,1,2]
[3,7,2,1,4,5,6]=>[2,7,3,1,4,5,6]
[3,7,2,1,4,6,5]=>[2,6,3,1,7,4,5]
[3,7,2,1,5,4,6]=>[2,5,3,7,1,4,6]
[3,7,2,1,5,6,4]=>[2,6,3,7,1,5,4]
[3,7,2,1,6,4,5]=>[2,6,3,7,1,4,5]
[3,7,2,1,6,5,4]=>[2,5,3,6,7,1,4]
[3,7,2,4,1,5,6]=>[4,7,3,2,1,5,6]
[3,7,2,4,1,6,5]=>[4,6,3,2,7,1,5]
[3,7,2,4,5,1,6]=>[5,7,3,2,4,1,6]
[3,7,2,4,5,6,1]=>[6,7,3,2,4,5,1]
[3,7,2,4,6,1,5]=>[6,7,3,2,4,1,5]
[3,7,2,4,6,5,1]=>[5,6,3,2,7,4,1]
[3,7,2,5,1,4,6]=>[5,7,3,2,1,4,6]
[3,7,2,5,1,6,4]=>[6,5,3,7,2,1,4]
[3,7,2,5,4,1,6]=>[4,5,3,7,2,1,6]
[3,7,2,5,4,6,1]=>[6,5,3,7,2,4,1]
[3,7,2,5,6,1,4]=>[6,7,3,2,1,5,4]
[3,7,2,5,6,4,1]=>[4,6,3,7,2,5,1]
[3,7,2,6,1,4,5]=>[6,7,3,2,1,4,5]
[3,7,2,6,1,5,4]=>[5,6,3,7,2,1,4]
[3,7,2,6,4,1,5]=>[4,6,3,7,2,1,5]
[3,7,2,6,4,5,1]=>[5,6,3,7,2,4,1]
[3,7,2,6,5,1,4]=>[5,6,3,2,7,1,4]
[3,7,2,6,5,4,1]=>[4,5,3,6,7,2,1]
[3,7,4,1,2,5,6]=>[4,1,3,7,2,5,6]
[3,7,4,1,2,6,5]=>[4,1,3,6,7,2,5]
[3,7,4,1,5,2,6]=>[5,4,3,7,1,2,6]
[3,7,4,1,5,6,2]=>[6,4,3,7,1,5,2]
[3,7,4,1,6,2,5]=>[6,4,3,7,1,2,5]
[3,7,4,1,6,5,2]=>[5,4,3,6,7,1,2]
[3,7,4,2,1,5,6]=>[2,4,3,7,1,5,6]
[3,7,4,2,1,6,5]=>[2,4,3,6,7,1,5]
[3,7,4,2,5,1,6]=>[5,4,3,7,2,1,6]
[3,7,4,2,5,6,1]=>[6,4,3,7,2,5,1]
[3,7,4,2,6,1,5]=>[6,4,3,7,2,1,5]
[3,7,4,2,6,5,1]=>[5,4,3,6,7,2,1]
[3,7,4,5,1,2,6]=>[5,1,3,7,4,2,6]
[3,7,4,5,1,6,2]=>[6,5,3,7,4,1,2]
[3,7,4,5,2,1,6]=>[2,5,3,7,4,1,6]
[3,7,4,5,2,6,1]=>[6,5,3,7,4,2,1]
[3,7,4,5,6,1,2]=>[6,1,3,7,4,5,2]
[3,7,4,5,6,2,1]=>[2,6,3,7,4,5,1]
[3,7,4,6,1,2,5]=>[6,1,3,7,4,2,5]
[3,7,4,6,1,5,2]=>[5,6,3,7,4,1,2]
[3,7,4,6,2,1,5]=>[2,6,3,7,4,1,5]
[3,7,4,6,2,5,1]=>[5,6,3,7,4,2,1]
[3,7,4,6,5,1,2]=>[5,1,3,6,7,4,2]
[3,7,4,6,5,2,1]=>[2,5,3,6,7,4,1]
[3,7,5,1,2,4,6]=>[5,1,3,2,7,4,6]
[3,7,5,1,2,6,4]=>[6,1,3,5,7,2,4]
[3,7,5,1,4,2,6]=>[4,5,3,1,7,2,6]
[3,7,5,1,4,6,2]=>[6,5,3,1,7,4,2]
[3,7,5,1,6,2,4]=>[6,5,3,1,7,2,4]
[3,7,5,1,6,4,2]=>[4,6,3,5,7,1,2]
[3,7,5,2,1,4,6]=>[2,5,3,1,7,4,6]
[3,7,5,2,1,6,4]=>[2,6,3,5,7,1,4]
[3,7,5,2,4,1,6]=>[4,5,3,2,7,1,6]
[3,7,5,2,4,6,1]=>[6,5,3,2,7,4,1]
[3,7,5,2,6,1,4]=>[6,5,3,2,7,1,4]
[3,7,5,2,6,4,1]=>[4,6,3,5,7,2,1]
[3,7,5,4,1,2,6]=>[4,1,3,5,7,2,6]
[3,7,5,4,1,6,2]=>[6,4,3,5,7,1,2]
[3,7,5,4,2,1,6]=>[2,4,3,5,7,1,6]
[3,7,5,4,2,6,1]=>[6,4,3,5,7,2,1]
[3,7,5,4,6,1,2]=>[6,1,3,5,7,4,2]
[3,7,5,4,6,2,1]=>[2,6,3,5,7,4,1]
[3,7,5,6,1,2,4]=>[6,1,3,2,7,5,4]
[3,7,5,6,1,4,2]=>[4,6,3,1,7,5,2]
[3,7,5,6,2,1,4]=>[2,6,3,1,7,5,4]
[3,7,5,6,2,4,1]=>[4,6,3,2,7,5,1]
[3,7,5,6,4,1,2]=>[4,1,3,6,7,5,2]
[3,7,5,6,4,2,1]=>[2,4,3,6,7,5,1]
[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5]
[3,7,6,1,2,5,4]=>[5,1,3,6,2,7,4]
[3,7,6,1,4,2,5]=>[4,6,3,1,2,7,5]
[3,7,6,1,4,5,2]=>[5,6,3,1,4,7,2]
[3,7,6,1,5,2,4]=>[5,6,3,1,2,7,4]
[3,7,6,1,5,4,2]=>[4,5,3,6,1,7,2]
[3,7,6,2,1,4,5]=>[2,6,3,1,4,7,5]
[3,7,6,2,1,5,4]=>[2,5,3,6,1,7,4]
[3,7,6,2,4,1,5]=>[4,6,3,2,1,7,5]
[3,7,6,2,4,5,1]=>[5,6,3,2,4,7,1]
[3,7,6,2,5,1,4]=>[5,6,3,2,1,7,4]
[3,7,6,2,5,4,1]=>[4,5,3,6,2,7,1]
[3,7,6,4,1,2,5]=>[4,1,3,6,2,7,5]
[3,7,6,4,1,5,2]=>[5,4,3,6,1,7,2]
[3,7,6,4,2,1,5]=>[2,4,3,6,1,7,5]
[3,7,6,4,2,5,1]=>[5,4,3,6,2,7,1]
[3,7,6,4,5,1,2]=>[5,1,3,6,4,7,2]
[3,7,6,4,5,2,1]=>[2,5,3,6,4,7,1]
[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4]
[3,7,6,5,1,4,2]=>[4,5,3,1,6,7,2]
[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]
[3,7,6,5,2,4,1]=>[4,5,3,2,6,7,1]
[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2]
[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]
[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]=>[5,1,4,2,3,6,7]
[4,1,2,5,3,7,6]=>[5,1,4,2,3,7,6]
[4,1,2,5,6,3,7]=>[6,1,4,2,5,3,7]
[4,1,2,5,6,7,3]=>[7,1,4,2,5,6,3]
[4,1,2,5,7,3,6]=>[7,1,4,2,5,3,6]
[4,1,2,5,7,6,3]=>[6,1,4,2,5,7,3]
[4,1,2,6,3,5,7]=>[6,1,4,2,3,5,7]
[4,1,2,6,3,7,5]=>[7,1,4,2,6,3,5]
[4,1,2,6,5,3,7]=>[5,1,4,2,6,3,7]
[4,1,2,6,5,7,3]=>[7,1,4,2,6,5,3]
[4,1,2,6,7,3,5]=>[7,1,4,2,3,6,5]
[4,1,2,6,7,5,3]=>[5,1,4,2,7,6,3]
[4,1,2,7,3,5,6]=>[7,1,4,2,3,5,6]
[4,1,2,7,3,6,5]=>[6,1,4,2,7,3,5]
[4,1,2,7,5,3,6]=>[5,1,4,2,7,3,6]
[4,1,2,7,5,6,3]=>[6,1,4,2,7,5,3]
[4,1,2,7,6,3,5]=>[6,1,4,2,3,7,5]
[4,1,2,7,6,5,3]=>[5,1,4,2,6,7,3]
[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]=>[5,4,1,3,2,6,7]
[4,1,3,5,2,7,6]=>[5,4,1,3,2,7,6]
[4,1,3,5,6,2,7]=>[6,4,1,3,5,2,7]
[4,1,3,5,6,7,2]=>[7,4,1,3,5,6,2]
[4,1,3,5,7,2,6]=>[7,4,1,3,5,2,6]
[4,1,3,5,7,6,2]=>[6,4,1,3,5,7,2]
[4,1,3,6,2,5,7]=>[6,4,1,3,2,5,7]
[4,1,3,6,2,7,5]=>[7,4,1,3,6,2,5]
[4,1,3,6,5,2,7]=>[5,4,1,3,6,2,7]
[4,1,3,6,5,7,2]=>[7,4,1,3,6,5,2]
[4,1,3,6,7,2,5]=>[7,4,1,3,2,6,5]
[4,1,3,6,7,5,2]=>[5,4,1,3,7,6,2]
[4,1,3,7,2,5,6]=>[7,4,1,3,2,5,6]
[4,1,3,7,2,6,5]=>[6,4,1,3,7,2,5]
[4,1,3,7,5,2,6]=>[5,4,1,3,7,2,6]
[4,1,3,7,5,6,2]=>[6,4,1,3,7,5,2]
[4,1,3,7,6,2,5]=>[6,4,1,3,2,7,5]
[4,1,3,7,6,5,2]=>[5,4,1,3,6,7,2]
[4,1,5,2,3,6,7]=>[5,4,1,2,3,6,7]
[4,1,5,2,3,7,6]=>[5,4,1,2,3,7,6]
[4,1,5,2,6,3,7]=>[6,5,4,1,2,3,7]
[4,1,5,2,6,7,3]=>[7,5,4,1,2,6,3]
[4,1,5,2,7,3,6]=>[7,5,4,1,2,3,6]
[4,1,5,2,7,6,3]=>[6,5,4,1,2,7,3]
[4,1,5,3,2,6,7]=>[3,5,4,1,2,6,7]
[4,1,5,3,2,7,6]=>[3,5,4,1,2,7,6]
[4,1,5,3,6,2,7]=>[6,5,4,1,3,2,7]
[4,1,5,3,6,7,2]=>[7,5,4,1,3,6,2]
[4,1,5,3,7,2,6]=>[7,5,4,1,3,2,6]
[4,1,5,3,7,6,2]=>[6,5,4,1,3,7,2]
[4,1,5,6,2,3,7]=>[6,4,1,2,5,3,7]
[4,1,5,6,2,7,3]=>[7,6,4,1,5,2,3]
[4,1,5,6,3,2,7]=>[3,6,4,1,5,2,7]
[4,1,5,6,3,7,2]=>[7,6,4,1,5,3,2]
[4,1,5,6,7,2,3]=>[7,4,1,2,5,6,3]
[4,1,5,6,7,3,2]=>[3,7,4,1,5,6,2]
[4,1,5,7,2,3,6]=>[7,4,1,2,5,3,6]
[4,1,5,7,2,6,3]=>[6,7,4,1,5,2,3]
[4,1,5,7,3,2,6]=>[3,7,4,1,5,2,6]
[4,1,5,7,3,6,2]=>[6,7,4,1,5,3,2]
[4,1,5,7,6,2,3]=>[6,4,1,2,5,7,3]
[4,1,5,7,6,3,2]=>[3,6,4,1,5,7,2]
[4,1,6,2,3,5,7]=>[6,4,1,2,3,5,7]
[4,1,6,2,3,7,5]=>[7,4,1,2,6,3,5]
[4,1,6,2,5,3,7]=>[5,6,4,1,2,3,7]
[4,1,6,2,5,7,3]=>[7,6,4,1,2,5,3]
[4,1,6,2,7,3,5]=>[7,6,4,1,2,3,5]
[4,1,6,2,7,5,3]=>[5,7,4,1,6,2,3]
[4,1,6,3,2,5,7]=>[3,6,4,1,2,5,7]
[4,1,6,3,2,7,5]=>[3,7,4,1,6,2,5]
[4,1,6,3,5,2,7]=>[5,6,4,1,3,2,7]
[4,1,6,3,5,7,2]=>[7,6,4,1,3,5,2]
[4,1,6,3,7,2,5]=>[7,6,4,1,3,2,5]
[4,1,6,3,7,5,2]=>[5,7,4,1,6,3,2]
[4,1,6,5,2,3,7]=>[5,4,1,2,6,3,7]
[4,1,6,5,2,7,3]=>[7,5,4,1,6,2,3]
[4,1,6,5,3,2,7]=>[3,5,4,1,6,2,7]
[4,1,6,5,3,7,2]=>[7,5,4,1,6,3,2]
[4,1,6,5,7,2,3]=>[7,4,1,2,6,5,3]
[4,1,6,5,7,3,2]=>[3,7,4,1,6,5,2]
[4,1,6,7,2,3,5]=>[7,4,1,2,3,6,5]
[4,1,6,7,2,5,3]=>[5,7,4,1,2,6,3]
[4,1,6,7,3,2,5]=>[3,7,4,1,2,6,5]
[4,1,6,7,3,5,2]=>[5,7,4,1,3,6,2]
[4,1,6,7,5,2,3]=>[5,4,1,2,7,6,3]
[4,1,6,7,5,3,2]=>[3,5,4,1,7,6,2]
[4,1,7,2,3,5,6]=>[7,4,1,2,3,5,6]
[4,1,7,2,3,6,5]=>[6,4,1,2,7,3,5]
[4,1,7,2,5,3,6]=>[5,7,4,1,2,3,6]
[4,1,7,2,5,6,3]=>[6,7,4,1,2,5,3]
[4,1,7,2,6,3,5]=>[6,7,4,1,2,3,5]
[4,1,7,2,6,5,3]=>[5,6,4,1,7,2,3]
[4,1,7,3,2,5,6]=>[3,7,4,1,2,5,6]
[4,1,7,3,2,6,5]=>[3,6,4,1,7,2,5]
[4,1,7,3,5,2,6]=>[5,7,4,1,3,2,6]
[4,1,7,3,5,6,2]=>[6,7,4,1,3,5,2]
[4,1,7,3,6,2,5]=>[6,7,4,1,3,2,5]
[4,1,7,3,6,5,2]=>[5,6,4,1,7,3,2]
[4,1,7,5,2,3,6]=>[5,4,1,2,7,3,6]
[4,1,7,5,2,6,3]=>[6,5,4,1,7,2,3]
[4,1,7,5,3,2,6]=>[3,5,4,1,7,2,6]
[4,1,7,5,3,6,2]=>[6,5,4,1,7,3,2]
[4,1,7,5,6,2,3]=>[6,4,1,2,7,5,3]
[4,1,7,5,6,3,2]=>[3,6,4,1,7,5,2]
[4,1,7,6,2,3,5]=>[6,4,1,2,3,7,5]
[4,1,7,6,2,5,3]=>[5,6,4,1,2,7,3]
[4,1,7,6,3,2,5]=>[3,6,4,1,2,7,5]
[4,1,7,6,3,5,2]=>[5,6,4,1,3,7,2]
[4,1,7,6,5,2,3]=>[5,4,1,2,6,7,3]
[4,1,7,6,5,3,2]=>[3,5,4,1,6,7,2]
[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]=>[2,6,4,1,5,3,7]
[4,2,1,5,6,7,3]=>[2,7,4,1,5,6,3]
[4,2,1,5,7,3,6]=>[2,7,4,1,5,3,6]
[4,2,1,5,7,6,3]=>[2,6,4,1,5,7,3]
[4,2,1,6,3,5,7]=>[2,6,4,1,3,5,7]
[4,2,1,6,3,7,5]=>[2,7,4,1,6,3,5]
[4,2,1,6,5,3,7]=>[2,5,4,1,6,3,7]
[4,2,1,6,5,7,3]=>[2,7,4,1,6,5,3]
[4,2,1,6,7,3,5]=>[2,7,4,1,3,6,5]
[4,2,1,6,7,5,3]=>[2,5,4,1,7,6,3]
[4,2,1,7,3,5,6]=>[2,7,4,1,3,5,6]
[4,2,1,7,3,6,5]=>[2,6,4,1,7,3,5]
[4,2,1,7,5,3,6]=>[2,5,4,1,7,3,6]
[4,2,1,7,5,6,3]=>[2,6,4,1,7,5,3]
[4,2,1,7,6,3,5]=>[2,6,4,1,3,7,5]
[4,2,1,7,6,5,3]=>[2,5,4,1,6,7,3]
[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]
[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7]
[4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]
[4,2,3,1,7,5,6]=>[3,4,2,1,7,5,6]
[4,2,3,1,7,6,5]=>[3,4,2,1,6,7,5]
[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]
[4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]
[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]
[4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]
[4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]
[4,2,3,5,7,6,1]=>[6,4,2,3,5,7,1]
[4,2,3,6,1,5,7]=>[6,4,2,3,1,5,7]
[4,2,3,6,1,7,5]=>[7,4,2,3,6,1,5]
[4,2,3,6,5,1,7]=>[5,4,2,3,6,1,7]
[4,2,3,6,5,7,1]=>[7,4,2,3,6,5,1]
[4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]
[4,2,3,6,7,5,1]=>[5,4,2,3,7,6,1]
[4,2,3,7,1,5,6]=>[7,4,2,3,1,5,6]
[4,2,3,7,1,6,5]=>[6,4,2,3,7,1,5]
[4,2,3,7,5,1,6]=>[5,4,2,3,7,1,6]
[4,2,3,7,5,6,1]=>[6,4,2,3,7,5,1]
[4,2,3,7,6,1,5]=>[6,4,2,3,1,7,5]
[4,2,3,7,6,5,1]=>[5,4,2,3,6,7,1]
[4,2,5,1,3,6,7]=>[5,4,2,1,3,6,7]
[4,2,5,1,3,7,6]=>[5,4,2,1,3,7,6]
[4,2,5,1,6,3,7]=>[6,5,4,2,1,3,7]
[4,2,5,1,6,7,3]=>[7,5,4,2,1,6,3]
[4,2,5,1,7,3,6]=>[7,5,4,2,1,3,6]
[4,2,5,1,7,6,3]=>[6,5,4,2,1,7,3]
[4,2,5,3,1,6,7]=>[3,5,4,2,1,6,7]
[4,2,5,3,1,7,6]=>[3,5,4,2,1,7,6]
[4,2,5,3,6,1,7]=>[6,5,4,2,3,1,7]
[4,2,5,3,6,7,1]=>[7,5,4,2,3,6,1]
[4,2,5,3,7,1,6]=>[7,5,4,2,3,1,6]
[4,2,5,3,7,6,1]=>[6,5,4,2,3,7,1]
[4,2,5,6,1,3,7]=>[6,4,2,1,5,3,7]
[4,2,5,6,1,7,3]=>[7,6,4,2,5,1,3]
[4,2,5,6,3,1,7]=>[3,6,4,2,5,1,7]
[4,2,5,6,3,7,1]=>[7,6,4,2,5,3,1]
[4,2,5,6,7,1,3]=>[7,4,2,1,5,6,3]
[4,2,5,6,7,3,1]=>[3,7,4,2,5,6,1]
[4,2,5,7,1,3,6]=>[7,4,2,1,5,3,6]
[4,2,5,7,1,6,3]=>[6,7,4,2,5,1,3]
[4,2,5,7,3,1,6]=>[3,7,4,2,5,1,6]
[4,2,5,7,3,6,1]=>[6,7,4,2,5,3,1]
[4,2,5,7,6,1,3]=>[6,4,2,1,5,7,3]
[4,2,5,7,6,3,1]=>[3,6,4,2,5,7,1]
[4,2,6,1,3,5,7]=>[6,4,2,1,3,5,7]
[4,2,6,1,3,7,5]=>[7,4,2,1,6,3,5]
[4,2,6,1,5,3,7]=>[5,6,4,2,1,3,7]
[4,2,6,1,5,7,3]=>[7,6,4,2,1,5,3]
[4,2,6,1,7,3,5]=>[7,6,4,2,1,3,5]
[4,2,6,1,7,5,3]=>[5,7,4,2,6,1,3]
[4,2,6,3,1,5,7]=>[3,6,4,2,1,5,7]
[4,2,6,3,1,7,5]=>[3,7,4,2,6,1,5]
[4,2,6,3,5,1,7]=>[5,6,4,2,3,1,7]
[4,2,6,3,5,7,1]=>[7,6,4,2,3,5,1]
[4,2,6,3,7,1,5]=>[7,6,4,2,3,1,5]
[4,2,6,3,7,5,1]=>[5,7,4,2,6,3,1]
[4,2,6,5,1,3,7]=>[5,4,2,1,6,3,7]
[4,2,6,5,1,7,3]=>[7,5,4,2,6,1,3]
[4,2,6,5,3,1,7]=>[3,5,4,2,6,1,7]
[4,2,6,5,3,7,1]=>[7,5,4,2,6,3,1]
[4,2,6,5,7,1,3]=>[7,4,2,1,6,5,3]
[4,2,6,5,7,3,1]=>[3,7,4,2,6,5,1]
[4,2,6,7,1,3,5]=>[7,4,2,1,3,6,5]
[4,2,6,7,1,5,3]=>[5,7,4,2,1,6,3]
[4,2,6,7,3,1,5]=>[3,7,4,2,1,6,5]
[4,2,6,7,3,5,1]=>[5,7,4,2,3,6,1]
[4,2,6,7,5,1,3]=>[5,4,2,1,7,6,3]
[4,2,6,7,5,3,1]=>[3,5,4,2,7,6,1]
[4,2,7,1,3,5,6]=>[7,4,2,1,3,5,6]
[4,2,7,1,3,6,5]=>[6,4,2,1,7,3,5]
[4,2,7,1,5,3,6]=>[5,7,4,2,1,3,6]
[4,2,7,1,5,6,3]=>[6,7,4,2,1,5,3]
[4,2,7,1,6,3,5]=>[6,7,4,2,1,3,5]
[4,2,7,1,6,5,3]=>[5,6,4,2,7,1,3]
[4,2,7,3,1,5,6]=>[3,7,4,2,1,5,6]
[4,2,7,3,1,6,5]=>[3,6,4,2,7,1,5]
[4,2,7,3,5,1,6]=>[5,7,4,2,3,1,6]
[4,2,7,3,5,6,1]=>[6,7,4,2,3,5,1]
[4,2,7,3,6,1,5]=>[6,7,4,2,3,1,5]
[4,2,7,3,6,5,1]=>[5,6,4,2,7,3,1]
[4,2,7,5,1,3,6]=>[5,4,2,1,7,3,6]
[4,2,7,5,1,6,3]=>[6,5,4,2,7,1,3]
[4,2,7,5,3,1,6]=>[3,5,4,2,7,1,6]
[4,2,7,5,3,6,1]=>[6,5,4,2,7,3,1]
[4,2,7,5,6,1,3]=>[6,4,2,1,7,5,3]
[4,2,7,5,6,3,1]=>[3,6,4,2,7,5,1]
[4,2,7,6,1,3,5]=>[6,4,2,1,3,7,5]
[4,2,7,6,1,5,3]=>[5,6,4,2,1,7,3]
[4,2,7,6,3,1,5]=>[3,6,4,2,1,7,5]
[4,2,7,6,3,5,1]=>[5,6,4,2,3,7,1]
[4,2,7,6,5,1,3]=>[5,4,2,1,6,7,3]
[4,2,7,6,5,3,1]=>[3,5,4,2,6,7,1]
[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]=>[5,3,4,1,2,6,7]
[4,3,1,5,2,7,6]=>[5,3,4,1,2,7,6]
[4,3,1,5,6,2,7]=>[6,3,4,1,5,2,7]
[4,3,1,5,6,7,2]=>[7,3,4,1,5,6,2]
[4,3,1,5,7,2,6]=>[7,3,4,1,5,2,6]
[4,3,1,5,7,6,2]=>[6,3,4,1,5,7,2]
[4,3,1,6,2,5,7]=>[6,3,4,1,2,5,7]
[4,3,1,6,2,7,5]=>[7,3,4,1,6,2,5]
[4,3,1,6,5,2,7]=>[5,3,4,1,6,2,7]
[4,3,1,6,5,7,2]=>[7,3,4,1,6,5,2]
[4,3,1,6,7,2,5]=>[7,3,4,1,2,6,5]
[4,3,1,6,7,5,2]=>[5,3,4,1,7,6,2]
[4,3,1,7,2,5,6]=>[7,3,4,1,2,5,6]
[4,3,1,7,2,6,5]=>[6,3,4,1,7,2,5]
[4,3,1,7,5,2,6]=>[5,3,4,1,7,2,6]
[4,3,1,7,5,6,2]=>[6,3,4,1,7,5,2]
[4,3,1,7,6,2,5]=>[6,3,4,1,2,7,5]
[4,3,1,7,6,5,2]=>[5,3,4,1,6,7,2]
[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]
[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]
[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]
[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]
[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]
[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]
[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]
[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]
[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]
[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]
[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1]
[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]
[4,3,2,6,1,7,5]=>[7,3,4,2,6,1,5]
[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]
[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]
[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]
[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]
[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]
[4,3,2,7,1,6,5]=>[6,3,4,2,7,1,5]
[4,3,2,7,5,1,6]=>[5,3,4,2,7,1,6]
[4,3,2,7,5,6,1]=>[6,3,4,2,7,5,1]
[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5]
[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1]
[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]
[4,3,5,1,6,2,7]=>[6,5,4,3,1,2,7]
[4,3,5,1,6,7,2]=>[7,5,4,3,1,6,2]
[4,3,5,1,7,2,6]=>[7,5,4,3,1,2,6]
[4,3,5,1,7,6,2]=>[6,5,4,3,1,7,2]
[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]
[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]
[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]
[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]
[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]
[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1]
[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]
[4,3,5,6,1,7,2]=>[7,6,4,3,5,1,2]
[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]
[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]
[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]
[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]
[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]
[4,3,5,7,1,6,2]=>[6,7,4,3,5,1,2]
[4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]
[4,3,5,7,2,6,1]=>[6,7,4,3,5,2,1]
[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2]
[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]
[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]
[4,3,6,1,2,7,5]=>[7,1,4,3,6,2,5]
[4,3,6,1,5,2,7]=>[5,6,4,3,1,2,7]
[4,3,6,1,5,7,2]=>[7,6,4,3,1,5,2]
[4,3,6,1,7,2,5]=>[7,6,4,3,1,2,5]
[4,3,6,1,7,5,2]=>[5,7,4,3,6,1,2]
[4,3,6,2,1,5,7]=>[2,6,4,3,1,5,7]
[4,3,6,2,1,7,5]=>[2,7,4,3,6,1,5]
[4,3,6,2,5,1,7]=>[5,6,4,3,2,1,7]
[4,3,6,2,5,7,1]=>[7,6,4,3,2,5,1]
[4,3,6,2,7,1,5]=>[7,6,4,3,2,1,5]
[4,3,6,2,7,5,1]=>[5,7,4,3,6,2,1]
[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7]
[4,3,6,5,1,7,2]=>[7,5,4,3,6,1,2]
[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]
[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1]
[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2]
[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]
[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]
[4,3,6,7,1,5,2]=>[5,7,4,3,1,6,2]
[4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]
[4,3,6,7,2,5,1]=>[5,7,4,3,2,6,1]
[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2]
[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]
[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]
[4,3,7,1,2,6,5]=>[6,1,4,3,7,2,5]
[4,3,7,1,5,2,6]=>[5,7,4,3,1,2,6]
[4,3,7,1,5,6,2]=>[6,7,4,3,1,5,2]
[4,3,7,1,6,2,5]=>[6,7,4,3,1,2,5]
[4,3,7,1,6,5,2]=>[5,6,4,3,7,1,2]
[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]
[4,3,7,2,1,6,5]=>[2,6,4,3,7,1,5]
[4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]
[4,3,7,2,5,6,1]=>[6,7,4,3,2,5,1]
[4,3,7,2,6,1,5]=>[6,7,4,3,2,1,5]
[4,3,7,2,6,5,1]=>[5,6,4,3,7,2,1]
[4,3,7,5,1,2,6]=>[5,1,4,3,7,2,6]
[4,3,7,5,1,6,2]=>[6,5,4,3,7,1,2]
[4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]
[4,3,7,5,2,6,1]=>[6,5,4,3,7,2,1]
[4,3,7,5,6,1,2]=>[6,1,4,3,7,5,2]
[4,3,7,5,6,2,1]=>[2,6,4,3,7,5,1]
[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5]
[4,3,7,6,1,5,2]=>[5,6,4,3,1,7,2]
[4,3,7,6,2,1,5]=>[2,6,4,3,1,7,5]
[4,3,7,6,2,5,1]=>[5,6,4,3,2,7,1]
[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2]
[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]
[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]
[4,5,1,2,6,3,7]=>[6,1,5,4,2,3,7]
[4,5,1,2,6,7,3]=>[7,1,5,4,2,6,3]
[4,5,1,2,7,3,6]=>[7,1,5,4,2,3,6]
[4,5,1,2,7,6,3]=>[6,1,5,4,2,7,3]
[4,5,1,3,2,6,7]=>[3,5,1,4,2,6,7]
[4,5,1,3,2,7,6]=>[3,5,1,4,2,7,6]
[4,5,1,3,6,2,7]=>[6,5,1,4,3,2,7]
[4,5,1,3,6,7,2]=>[7,5,1,4,3,6,2]
[4,5,1,3,7,2,6]=>[7,5,1,4,3,2,6]
[4,5,1,3,7,6,2]=>[6,5,1,4,3,7,2]
[4,5,1,6,2,3,7]=>[6,5,1,4,2,3,7]
[4,5,1,6,2,7,3]=>[7,6,5,4,1,2,3]
[4,5,1,6,3,2,7]=>[3,6,5,4,1,2,7]
[4,5,1,6,3,7,2]=>[7,6,5,4,1,3,2]
[4,5,1,6,7,2,3]=>[7,5,1,4,2,6,3]
[4,5,1,6,7,3,2]=>[3,7,5,4,1,6,2]
[4,5,1,7,2,3,6]=>[7,5,1,4,2,3,6]
[4,5,1,7,2,6,3]=>[6,7,5,4,1,2,3]
[4,5,1,7,3,2,6]=>[3,7,5,4,1,2,6]
[4,5,1,7,3,6,2]=>[6,7,5,4,1,3,2]
[4,5,1,7,6,2,3]=>[6,5,1,4,2,7,3]
[4,5,1,7,6,3,2]=>[3,6,5,4,1,7,2]
[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]
[4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]
[4,5,2,1,6,3,7]=>[2,6,5,4,1,3,7]
[4,5,2,1,6,7,3]=>[2,7,5,4,1,6,3]
[4,5,2,1,7,3,6]=>[2,7,5,4,1,3,6]
[4,5,2,1,7,6,3]=>[2,6,5,4,1,7,3]
[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]
[4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]
[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]
[4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]
[4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]
[4,5,2,3,7,6,1]=>[6,5,2,4,3,7,1]
[4,5,2,6,1,3,7]=>[6,5,2,4,1,3,7]
[4,5,2,6,1,7,3]=>[7,6,5,4,2,1,3]
[4,5,2,6,3,1,7]=>[3,6,5,4,2,1,7]
[4,5,2,6,3,7,1]=>[7,6,5,4,2,3,1]
[4,5,2,6,7,1,3]=>[7,5,2,4,1,6,3]
[4,5,2,6,7,3,1]=>[3,7,5,4,2,6,1]
[4,5,2,7,1,3,6]=>[7,5,2,4,1,3,6]
[4,5,2,7,1,6,3]=>[6,7,5,4,2,1,3]
[4,5,2,7,3,1,6]=>[3,7,5,4,2,1,6]
[4,5,2,7,3,6,1]=>[6,7,5,4,2,3,1]
[4,5,2,7,6,1,3]=>[6,5,2,4,1,7,3]
[4,5,2,7,6,3,1]=>[3,6,5,4,2,7,1]
[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]
[4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]
[4,5,3,1,6,2,7]=>[6,3,5,4,1,2,7]
[4,5,3,1,6,7,2]=>[7,3,5,4,1,6,2]
[4,5,3,1,7,2,6]=>[7,3,5,4,1,2,6]
[4,5,3,1,7,6,2]=>[6,3,5,4,1,7,2]
[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]
[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]
[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]
[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]
[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]
[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]
[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]
[4,5,3,6,1,7,2]=>[7,6,5,4,3,1,2]
[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]
[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]
[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]
[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]
[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]
[4,5,3,7,1,6,2]=>[6,7,5,4,3,1,2]
[4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]
[4,5,3,7,2,6,1]=>[6,7,5,4,3,2,1]
[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2]
[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]
[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[4,5,6,1,2,7,3]=>[7,1,6,4,5,2,3]
[4,5,6,1,3,2,7]=>[3,6,1,4,5,2,7]
[4,5,6,1,3,7,2]=>[7,6,1,4,5,3,2]
[4,5,6,1,7,2,3]=>[7,6,1,4,5,2,3]
[4,5,6,1,7,3,2]=>[3,7,6,4,5,1,2]
[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]
[4,5,6,2,1,7,3]=>[2,7,6,4,5,1,3]
[4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]
[4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]
[4,5,6,2,7,1,3]=>[7,6,2,4,5,1,3]
[4,5,6,2,7,3,1]=>[3,7,6,4,5,2,1]
[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]
[4,5,6,3,1,7,2]=>[7,3,6,4,5,1,2]
[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]
[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]
[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]
[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]
[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]
[4,5,6,7,1,3,2]=>[3,7,1,4,5,6,2]
[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]
[4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1]
[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]
[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]
[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]
[4,5,7,1,2,6,3]=>[6,1,7,4,5,2,3]
[4,5,7,1,3,2,6]=>[3,7,1,4,5,2,6]
[4,5,7,1,3,6,2]=>[6,7,1,4,5,3,2]
[4,5,7,1,6,2,3]=>[6,7,1,4,5,2,3]
[4,5,7,1,6,3,2]=>[3,6,7,4,5,1,2]
[4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]
[4,5,7,2,1,6,3]=>[2,6,7,4,5,1,3]
[4,5,7,2,3,1,6]=>[3,7,2,4,5,1,6]
[4,5,7,2,3,6,1]=>[6,7,2,4,5,3,1]
[4,5,7,2,6,1,3]=>[6,7,2,4,5,1,3]
[4,5,7,2,6,3,1]=>[3,6,7,4,5,2,1]
[4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]
[4,5,7,3,1,6,2]=>[6,3,7,4,5,1,2]
[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]
[4,5,7,3,2,6,1]=>[6,3,7,4,5,2,1]
[4,5,7,3,6,1,2]=>[6,1,7,4,5,3,2]
[4,5,7,3,6,2,1]=>[2,6,7,4,5,3,1]
[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3]
[4,5,7,6,1,3,2]=>[3,6,1,4,5,7,2]
[4,5,7,6,2,1,3]=>[2,6,1,4,5,7,3]
[4,5,7,6,2,3,1]=>[3,6,2,4,5,7,1]
[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2]
[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]
[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]
[4,6,1,2,3,7,5]=>[7,1,2,4,6,3,5]
[4,6,1,2,5,3,7]=>[5,1,6,4,2,3,7]
[4,6,1,2,5,7,3]=>[7,1,6,4,2,5,3]
[4,6,1,2,7,3,5]=>[7,1,6,4,2,3,5]
[4,6,1,2,7,5,3]=>[5,1,7,4,6,2,3]
[4,6,1,3,2,5,7]=>[3,6,1,4,2,5,7]
[4,6,1,3,2,7,5]=>[3,7,1,4,6,2,5]
[4,6,1,3,5,2,7]=>[5,6,1,4,3,2,7]
[4,6,1,3,5,7,2]=>[7,6,1,4,3,5,2]
[4,6,1,3,7,2,5]=>[7,6,1,4,3,2,5]
[4,6,1,3,7,5,2]=>[5,7,1,4,6,3,2]
[4,6,1,5,2,3,7]=>[5,6,1,4,2,3,7]
[4,6,1,5,2,7,3]=>[7,5,6,4,1,2,3]
[4,6,1,5,3,2,7]=>[3,5,6,4,1,2,7]
[4,6,1,5,3,7,2]=>[7,5,6,4,1,3,2]
[4,6,1,5,7,2,3]=>[7,6,1,4,2,5,3]
[4,6,1,5,7,3,2]=>[3,7,6,4,1,5,2]
[4,6,1,7,2,3,5]=>[7,6,1,4,2,3,5]
[4,6,1,7,2,5,3]=>[5,7,6,4,1,2,3]
[4,6,1,7,3,2,5]=>[3,7,6,4,1,2,5]
[4,6,1,7,3,5,2]=>[5,7,6,4,1,3,2]
[4,6,1,7,5,2,3]=>[5,7,1,4,6,2,3]
[4,6,1,7,5,3,2]=>[3,5,7,4,6,1,2]
[4,6,2,1,3,5,7]=>[2,6,1,4,3,5,7]
[4,6,2,1,3,7,5]=>[2,7,1,4,6,3,5]
[4,6,2,1,5,3,7]=>[2,5,6,4,1,3,7]
[4,6,2,1,5,7,3]=>[2,7,6,4,1,5,3]
[4,6,2,1,7,3,5]=>[2,7,6,4,1,3,5]
[4,6,2,1,7,5,3]=>[2,5,7,4,6,1,3]
[4,6,2,3,1,5,7]=>[3,6,2,4,1,5,7]
[4,6,2,3,1,7,5]=>[3,7,2,4,6,1,5]
[4,6,2,3,5,1,7]=>[5,6,2,4,3,1,7]
[4,6,2,3,5,7,1]=>[7,6,2,4,3,5,1]
[4,6,2,3,7,1,5]=>[7,6,2,4,3,1,5]
[4,6,2,3,7,5,1]=>[5,7,2,4,6,3,1]
[4,6,2,5,1,3,7]=>[5,6,2,4,1,3,7]
[4,6,2,5,1,7,3]=>[7,5,6,4,2,1,3]
[4,6,2,5,3,1,7]=>[3,5,6,4,2,1,7]
[4,6,2,5,3,7,1]=>[7,5,6,4,2,3,1]
[4,6,2,5,7,1,3]=>[7,6,2,4,1,5,3]
[4,6,2,5,7,3,1]=>[3,7,6,4,2,5,1]
[4,6,2,7,1,3,5]=>[7,6,2,4,1,3,5]
[4,6,2,7,1,5,3]=>[5,7,6,4,2,1,3]
[4,6,2,7,3,1,5]=>[3,7,6,4,2,1,5]
[4,6,2,7,3,5,1]=>[5,7,6,4,2,3,1]
[4,6,2,7,5,1,3]=>[5,7,2,4,6,1,3]
[4,6,2,7,5,3,1]=>[3,5,7,4,6,2,1]
[4,6,3,1,2,5,7]=>[3,1,6,4,2,5,7]
[4,6,3,1,2,7,5]=>[3,1,7,4,6,2,5]
[4,6,3,1,5,2,7]=>[5,3,6,4,1,2,7]
[4,6,3,1,5,7,2]=>[7,3,6,4,1,5,2]
[4,6,3,1,7,2,5]=>[7,3,6,4,1,2,5]
[4,6,3,1,7,5,2]=>[5,3,7,4,6,1,2]
[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]
[4,6,3,2,1,7,5]=>[2,3,7,4,6,1,5]
[4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]
[4,6,3,2,5,7,1]=>[7,3,6,4,2,5,1]
[4,6,3,2,7,1,5]=>[7,3,6,4,2,1,5]
[4,6,3,2,7,5,1]=>[5,3,7,4,6,2,1]
[4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]
[4,6,3,5,1,7,2]=>[7,5,6,4,3,1,2]
[4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]
[4,6,3,5,2,7,1]=>[7,5,6,4,3,2,1]
[4,6,3,5,7,1,2]=>[7,1,6,4,3,5,2]
[4,6,3,5,7,2,1]=>[2,7,6,4,3,5,1]
[4,6,3,7,1,2,5]=>[7,1,6,4,3,2,5]
[4,6,3,7,1,5,2]=>[5,7,6,4,3,1,2]
[4,6,3,7,2,1,5]=>[2,7,6,4,3,1,5]
[4,6,3,7,2,5,1]=>[5,7,6,4,3,2,1]
[4,6,3,7,5,1,2]=>[5,1,7,4,6,3,2]
[4,6,3,7,5,2,1]=>[2,5,7,4,6,3,1]
[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7]
[4,6,5,1,2,7,3]=>[7,1,5,4,6,2,3]
[4,6,5,1,3,2,7]=>[3,5,1,4,6,2,7]
[4,6,5,1,3,7,2]=>[7,5,1,4,6,3,2]
[4,6,5,1,7,2,3]=>[7,5,1,4,6,2,3]
[4,6,5,1,7,3,2]=>[3,7,5,4,6,1,2]
[4,6,5,2,1,3,7]=>[2,5,1,4,6,3,7]
[4,6,5,2,1,7,3]=>[2,7,5,4,6,1,3]
[4,6,5,2,3,1,7]=>[3,5,2,4,6,1,7]
[4,6,5,2,3,7,1]=>[7,5,2,4,6,3,1]
[4,6,5,2,7,1,3]=>[7,5,2,4,6,1,3]
[4,6,5,2,7,3,1]=>[3,7,5,4,6,2,1]
[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7]
[4,6,5,3,1,7,2]=>[7,3,5,4,6,1,2]
[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]
[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]
[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2]
[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]
[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3]
[4,6,5,7,1,3,2]=>[3,7,1,4,6,5,2]
[4,6,5,7,2,1,3]=>[2,7,1,4,6,5,3]
[4,6,5,7,2,3,1]=>[3,7,2,4,6,5,1]
[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2]
[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]
[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]
[4,6,7,1,2,5,3]=>[5,1,7,4,2,6,3]
[4,6,7,1,3,2,5]=>[3,7,1,4,2,6,5]
[4,6,7,1,3,5,2]=>[5,7,1,4,3,6,2]
[4,6,7,1,5,2,3]=>[5,7,1,4,2,6,3]
[4,6,7,1,5,3,2]=>[3,5,7,4,1,6,2]
[4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]
[4,6,7,2,1,5,3]=>[2,5,7,4,1,6,3]
[4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]
[4,6,7,2,3,5,1]=>[5,7,2,4,3,6,1]
[4,6,7,2,5,1,3]=>[5,7,2,4,1,6,3]
[4,6,7,2,5,3,1]=>[3,5,7,4,2,6,1]
[4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]
[4,6,7,3,1,5,2]=>[5,3,7,4,1,6,2]
[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]
[4,6,7,3,2,5,1]=>[5,3,7,4,2,6,1]
[4,6,7,3,5,1,2]=>[5,1,7,4,3,6,2]
[4,6,7,3,5,2,1]=>[2,5,7,4,3,6,1]
[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3]
[4,6,7,5,1,3,2]=>[3,5,1,4,7,6,2]
[4,6,7,5,2,1,3]=>[2,5,1,4,7,6,3]
[4,6,7,5,2,3,1]=>[3,5,2,4,7,6,1]
[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2]
[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]
[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]
[4,7,1,2,3,6,5]=>[6,1,2,4,7,3,5]
[4,7,1,2,5,3,6]=>[5,1,7,4,2,3,6]
[4,7,1,2,5,6,3]=>[6,1,7,4,2,5,3]
[4,7,1,2,6,3,5]=>[6,1,7,4,2,3,5]
[4,7,1,2,6,5,3]=>[5,1,6,4,7,2,3]
[4,7,1,3,2,5,6]=>[3,7,1,4,2,5,6]
[4,7,1,3,2,6,5]=>[3,6,1,4,7,2,5]
[4,7,1,3,5,2,6]=>[5,7,1,4,3,2,6]
[4,7,1,3,5,6,2]=>[6,7,1,4,3,5,2]
[4,7,1,3,6,2,5]=>[6,7,1,4,3,2,5]
[4,7,1,3,6,5,2]=>[5,6,1,4,7,3,2]
[4,7,1,5,2,3,6]=>[5,7,1,4,2,3,6]
[4,7,1,5,2,6,3]=>[6,5,7,4,1,2,3]
[4,7,1,5,3,2,6]=>[3,5,7,4,1,2,6]
[4,7,1,5,3,6,2]=>[6,5,7,4,1,3,2]
[4,7,1,5,6,2,3]=>[6,7,1,4,2,5,3]
[4,7,1,5,6,3,2]=>[3,6,7,4,1,5,2]
[4,7,1,6,2,3,5]=>[6,7,1,4,2,3,5]
[4,7,1,6,2,5,3]=>[5,6,7,4,1,2,3]
[4,7,1,6,3,2,5]=>[3,6,7,4,1,2,5]
[4,7,1,6,3,5,2]=>[5,6,7,4,1,3,2]
[4,7,1,6,5,2,3]=>[5,6,1,4,7,2,3]
[4,7,1,6,5,3,2]=>[3,5,6,4,7,1,2]
[4,7,2,1,3,5,6]=>[2,7,1,4,3,5,6]
[4,7,2,1,3,6,5]=>[2,6,1,4,7,3,5]
[4,7,2,1,5,3,6]=>[2,5,7,4,1,3,6]
[4,7,2,1,5,6,3]=>[2,6,7,4,1,5,3]
[4,7,2,1,6,3,5]=>[2,6,7,4,1,3,5]
[4,7,2,1,6,5,3]=>[2,5,6,4,7,1,3]
[4,7,2,3,1,5,6]=>[3,7,2,4,1,5,6]
[4,7,2,3,1,6,5]=>[3,6,2,4,7,1,5]
[4,7,2,3,5,1,6]=>[5,7,2,4,3,1,6]
[4,7,2,3,5,6,1]=>[6,7,2,4,3,5,1]
[4,7,2,3,6,1,5]=>[6,7,2,4,3,1,5]
[4,7,2,3,6,5,1]=>[5,6,2,4,7,3,1]
[4,7,2,5,1,3,6]=>[5,7,2,4,1,3,6]
[4,7,2,5,1,6,3]=>[6,5,7,4,2,1,3]
[4,7,2,5,3,1,6]=>[3,5,7,4,2,1,6]
[4,7,2,5,3,6,1]=>[6,5,7,4,2,3,1]
[4,7,2,5,6,1,3]=>[6,7,2,4,1,5,3]
[4,7,2,5,6,3,1]=>[3,6,7,4,2,5,1]
[4,7,2,6,1,3,5]=>[6,7,2,4,1,3,5]
[4,7,2,6,1,5,3]=>[5,6,7,4,2,1,3]
[4,7,2,6,3,1,5]=>[3,6,7,4,2,1,5]
[4,7,2,6,3,5,1]=>[5,6,7,4,2,3,1]
[4,7,2,6,5,1,3]=>[5,6,2,4,7,1,3]
[4,7,2,6,5,3,1]=>[3,5,6,4,7,2,1]
[4,7,3,1,2,5,6]=>[3,1,7,4,2,5,6]
[4,7,3,1,2,6,5]=>[3,1,6,4,7,2,5]
[4,7,3,1,5,2,6]=>[5,3,7,4,1,2,6]
[4,7,3,1,5,6,2]=>[6,3,7,4,1,5,2]
[4,7,3,1,6,2,5]=>[6,3,7,4,1,2,5]
[4,7,3,1,6,5,2]=>[5,3,6,4,7,1,2]
[4,7,3,2,1,5,6]=>[2,3,7,4,1,5,6]
[4,7,3,2,1,6,5]=>[2,3,6,4,7,1,5]
[4,7,3,2,5,1,6]=>[5,3,7,4,2,1,6]
[4,7,3,2,5,6,1]=>[6,3,7,4,2,5,1]
[4,7,3,2,6,1,5]=>[6,3,7,4,2,1,5]
[4,7,3,2,6,5,1]=>[5,3,6,4,7,2,1]
[4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]
[4,7,3,5,1,6,2]=>[6,5,7,4,3,1,2]
[4,7,3,5,2,1,6]=>[2,5,7,4,3,1,6]
[4,7,3,5,2,6,1]=>[6,5,7,4,3,2,1]
[4,7,3,5,6,1,2]=>[6,1,7,4,3,5,2]
[4,7,3,5,6,2,1]=>[2,6,7,4,3,5,1]
[4,7,3,6,1,2,5]=>[6,1,7,4,3,2,5]
[4,7,3,6,1,5,2]=>[5,6,7,4,3,1,2]
[4,7,3,6,2,1,5]=>[2,6,7,4,3,1,5]
[4,7,3,6,2,5,1]=>[5,6,7,4,3,2,1]
[4,7,3,6,5,1,2]=>[5,1,6,4,7,3,2]
[4,7,3,6,5,2,1]=>[2,5,6,4,7,3,1]
[4,7,5,1,2,3,6]=>[5,1,2,4,7,3,6]
[4,7,5,1,2,6,3]=>[6,1,5,4,7,2,3]
[4,7,5,1,3,2,6]=>[3,5,1,4,7,2,6]
[4,7,5,1,3,6,2]=>[6,5,1,4,7,3,2]
[4,7,5,1,6,2,3]=>[6,5,1,4,7,2,3]
[4,7,5,1,6,3,2]=>[3,6,5,4,7,1,2]
[4,7,5,2,1,3,6]=>[2,5,1,4,7,3,6]
[4,7,5,2,1,6,3]=>[2,6,5,4,7,1,3]
[4,7,5,2,3,1,6]=>[3,5,2,4,7,1,6]
[4,7,5,2,3,6,1]=>[6,5,2,4,7,3,1]
[4,7,5,2,6,1,3]=>[6,5,2,4,7,1,3]
[4,7,5,2,6,3,1]=>[3,6,5,4,7,2,1]
[4,7,5,3,1,2,6]=>[3,1,5,4,7,2,6]
[4,7,5,3,1,6,2]=>[6,3,5,4,7,1,2]
[4,7,5,3,2,1,6]=>[2,3,5,4,7,1,6]
[4,7,5,3,2,6,1]=>[6,3,5,4,7,2,1]
[4,7,5,3,6,1,2]=>[6,1,5,4,7,3,2]
[4,7,5,3,6,2,1]=>[2,6,5,4,7,3,1]
[4,7,5,6,1,2,3]=>[6,1,2,4,7,5,3]
[4,7,5,6,1,3,2]=>[3,6,1,4,7,5,2]
[4,7,5,6,2,1,3]=>[2,6,1,4,7,5,3]
[4,7,5,6,2,3,1]=>[3,6,2,4,7,5,1]
[4,7,5,6,3,1,2]=>[3,1,6,4,7,5,2]
[4,7,5,6,3,2,1]=>[2,3,6,4,7,5,1]
[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5]
[4,7,6,1,2,5,3]=>[5,1,6,4,2,7,3]
[4,7,6,1,3,2,5]=>[3,6,1,4,2,7,5]
[4,7,6,1,3,5,2]=>[5,6,1,4,3,7,2]
[4,7,6,1,5,2,3]=>[5,6,1,4,2,7,3]
[4,7,6,1,5,3,2]=>[3,5,6,4,1,7,2]
[4,7,6,2,1,3,5]=>[2,6,1,4,3,7,5]
[4,7,6,2,1,5,3]=>[2,5,6,4,1,7,3]
[4,7,6,2,3,1,5]=>[3,6,2,4,1,7,5]
[4,7,6,2,3,5,1]=>[5,6,2,4,3,7,1]
[4,7,6,2,5,1,3]=>[5,6,2,4,1,7,3]
[4,7,6,2,5,3,1]=>[3,5,6,4,2,7,1]
[4,7,6,3,1,2,5]=>[3,1,6,4,2,7,5]
[4,7,6,3,1,5,2]=>[5,3,6,4,1,7,2]
[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]
[4,7,6,3,2,5,1]=>[5,3,6,4,2,7,1]
[4,7,6,3,5,1,2]=>[5,1,6,4,3,7,2]
[4,7,6,3,5,2,1]=>[2,5,6,4,3,7,1]
[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3]
[4,7,6,5,1,3,2]=>[3,5,1,4,6,7,2]
[4,7,6,5,2,1,3]=>[2,5,1,4,6,7,3]
[4,7,6,5,2,3,1]=>[3,5,2,4,6,7,1]
[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2]
[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]
[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]=>[6,1,2,5,3,4,7]
[5,1,2,3,6,7,4]=>[7,1,2,5,3,6,4]
[5,1,2,3,7,4,6]=>[7,1,2,5,3,4,6]
[5,1,2,3,7,6,4]=>[6,1,2,5,3,7,4]
[5,1,2,4,3,6,7]=>[4,1,5,2,3,6,7]
[5,1,2,4,3,7,6]=>[4,1,5,2,3,7,6]
[5,1,2,4,6,3,7]=>[6,1,5,2,4,3,7]
[5,1,2,4,6,7,3]=>[7,1,5,2,4,6,3]
[5,1,2,4,7,3,6]=>[7,1,5,2,4,3,6]
[5,1,2,4,7,6,3]=>[6,1,5,2,4,7,3]
[5,1,2,6,3,4,7]=>[6,1,5,2,3,4,7]
[5,1,2,6,3,7,4]=>[7,1,6,5,2,3,4]
[5,1,2,6,4,3,7]=>[4,1,6,5,2,3,7]
[5,1,2,6,4,7,3]=>[7,1,6,5,2,4,3]
[5,1,2,6,7,3,4]=>[7,1,5,2,3,6,4]
[5,1,2,6,7,4,3]=>[4,1,7,5,2,6,3]
[5,1,2,7,3,4,6]=>[7,1,5,2,3,4,6]
[5,1,2,7,3,6,4]=>[6,1,7,5,2,3,4]
[5,1,2,7,4,3,6]=>[4,1,7,5,2,3,6]
[5,1,2,7,4,6,3]=>[6,1,7,5,2,4,3]
[5,1,2,7,6,3,4]=>[6,1,5,2,3,7,4]
[5,1,2,7,6,4,3]=>[4,1,6,5,2,7,3]
[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]=>[3,6,1,5,2,4,7]
[5,1,3,2,6,7,4]=>[3,7,1,5,2,6,4]
[5,1,3,2,7,4,6]=>[3,7,1,5,2,4,6]
[5,1,3,2,7,6,4]=>[3,6,1,5,2,7,4]
[5,1,3,4,2,6,7]=>[4,5,1,3,2,6,7]
[5,1,3,4,2,7,6]=>[4,5,1,3,2,7,6]
[5,1,3,4,6,2,7]=>[6,5,1,3,4,2,7]
[5,1,3,4,6,7,2]=>[7,5,1,3,4,6,2]
[5,1,3,4,7,2,6]=>[7,5,1,3,4,2,6]
[5,1,3,4,7,6,2]=>[6,5,1,3,4,7,2]
[5,1,3,6,2,4,7]=>[6,5,1,3,2,4,7]
[5,1,3,6,2,7,4]=>[7,6,1,5,3,2,4]
[5,1,3,6,4,2,7]=>[4,6,1,5,3,2,7]
[5,1,3,6,4,7,2]=>[7,6,1,5,3,4,2]
[5,1,3,6,7,2,4]=>[7,5,1,3,2,6,4]
[5,1,3,6,7,4,2]=>[4,7,1,5,3,6,2]
[5,1,3,7,2,4,6]=>[7,5,1,3,2,4,6]
[5,1,3,7,2,6,4]=>[6,7,1,5,3,2,4]
[5,1,3,7,4,2,6]=>[4,7,1,5,3,2,6]
[5,1,3,7,4,6,2]=>[6,7,1,5,3,4,2]
[5,1,3,7,6,2,4]=>[6,5,1,3,2,7,4]
[5,1,3,7,6,4,2]=>[4,6,1,5,3,7,2]
[5,1,4,2,3,6,7]=>[4,5,1,2,3,6,7]
[5,1,4,2,3,7,6]=>[4,5,1,2,3,7,6]
[5,1,4,2,6,3,7]=>[6,4,5,1,2,3,7]
[5,1,4,2,6,7,3]=>[7,4,5,1,2,6,3]
[5,1,4,2,7,3,6]=>[7,4,5,1,2,3,6]
[5,1,4,2,7,6,3]=>[6,4,5,1,2,7,3]
[5,1,4,3,2,6,7]=>[3,4,5,1,2,6,7]
[5,1,4,3,2,7,6]=>[3,4,5,1,2,7,6]
[5,1,4,3,6,2,7]=>[6,4,5,1,3,2,7]
[5,1,4,3,6,7,2]=>[7,4,5,1,3,6,2]
[5,1,4,3,7,2,6]=>[7,4,5,1,3,2,6]
[5,1,4,3,7,6,2]=>[6,4,5,1,3,7,2]
[5,1,4,6,2,3,7]=>[6,5,1,2,4,3,7]
[5,1,4,6,2,7,3]=>[7,6,5,1,4,2,3]
[5,1,4,6,3,2,7]=>[3,6,5,1,4,2,7]
[5,1,4,6,3,7,2]=>[7,6,5,1,4,3,2]
[5,1,4,6,7,2,3]=>[7,5,1,2,4,6,3]
[5,1,4,6,7,3,2]=>[3,7,5,1,4,6,2]
[5,1,4,7,2,3,6]=>[7,5,1,2,4,3,6]
[5,1,4,7,2,6,3]=>[6,7,5,1,4,2,3]
[5,1,4,7,3,2,6]=>[3,7,5,1,4,2,6]
[5,1,4,7,3,6,2]=>[6,7,5,1,4,3,2]
[5,1,4,7,6,2,3]=>[6,5,1,2,4,7,3]
[5,1,4,7,6,3,2]=>[3,6,5,1,4,7,2]
[5,1,6,2,3,4,7]=>[6,5,1,2,3,4,7]
[5,1,6,2,3,7,4]=>[7,6,1,5,2,3,4]
[5,1,6,2,4,3,7]=>[4,6,5,1,2,3,7]
[5,1,6,2,4,7,3]=>[7,6,5,1,2,4,3]
[5,1,6,2,7,3,4]=>[7,6,5,1,2,3,4]
[5,1,6,2,7,4,3]=>[4,7,6,5,1,2,3]
[5,1,6,3,2,4,7]=>[3,6,5,1,2,4,7]
[5,1,6,3,2,7,4]=>[3,7,6,5,1,2,4]
[5,1,6,3,4,2,7]=>[4,6,5,1,3,2,7]
[5,1,6,3,4,7,2]=>[7,6,5,1,3,4,2]
[5,1,6,3,7,2,4]=>[7,6,5,1,3,2,4]
[5,1,6,3,7,4,2]=>[4,7,6,5,1,3,2]
[5,1,6,4,2,3,7]=>[4,6,1,5,2,3,7]
[5,1,6,4,2,7,3]=>[7,4,6,5,1,2,3]
[5,1,6,4,3,2,7]=>[3,4,6,5,1,2,7]
[5,1,6,4,3,7,2]=>[7,4,6,5,1,3,2]
[5,1,6,4,7,2,3]=>[7,6,1,5,2,4,3]
[5,1,6,4,7,3,2]=>[3,7,6,5,1,4,2]
[5,1,6,7,2,3,4]=>[7,5,1,2,3,6,4]
[5,1,6,7,2,4,3]=>[4,7,5,1,2,6,3]
[5,1,6,7,3,2,4]=>[3,7,5,1,2,6,4]
[5,1,6,7,3,4,2]=>[4,7,5,1,3,6,2]
[5,1,6,7,4,2,3]=>[4,7,1,5,2,6,3]
[5,1,6,7,4,3,2]=>[3,4,7,5,1,6,2]
[5,1,7,2,3,4,6]=>[7,5,1,2,3,4,6]
[5,1,7,2,3,6,4]=>[6,7,1,5,2,3,4]
[5,1,7,2,4,3,6]=>[4,7,5,1,2,3,6]
[5,1,7,2,4,6,3]=>[6,7,5,1,2,4,3]
[5,1,7,2,6,3,4]=>[6,7,5,1,2,3,4]
[5,1,7,2,6,4,3]=>[4,6,7,5,1,2,3]
[5,1,7,3,2,4,6]=>[3,7,5,1,2,4,6]
[5,1,7,3,2,6,4]=>[3,6,7,5,1,2,4]
[5,1,7,3,4,2,6]=>[4,7,5,1,3,2,6]
[5,1,7,3,4,6,2]=>[6,7,5,1,3,4,2]
[5,1,7,3,6,2,4]=>[6,7,5,1,3,2,4]
[5,1,7,3,6,4,2]=>[4,6,7,5,1,3,2]
[5,1,7,4,2,3,6]=>[4,7,1,5,2,3,6]
[5,1,7,4,2,6,3]=>[6,4,7,5,1,2,3]
[5,1,7,4,3,2,6]=>[3,4,7,5,1,2,6]
[5,1,7,4,3,6,2]=>[6,4,7,5,1,3,2]
[5,1,7,4,6,2,3]=>[6,7,1,5,2,4,3]
[5,1,7,4,6,3,2]=>[3,6,7,5,1,4,2]
[5,1,7,6,2,3,4]=>[6,5,1,2,3,7,4]
[5,1,7,6,2,4,3]=>[4,6,5,1,2,7,3]
[5,1,7,6,3,2,4]=>[3,6,5,1,2,7,4]
[5,1,7,6,3,4,2]=>[4,6,5,1,3,7,2]
[5,1,7,6,4,2,3]=>[4,6,1,5,2,7,3]
[5,1,7,6,4,3,2]=>[3,4,6,5,1,7,2]
[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]=>[2,6,1,5,3,4,7]
[5,2,1,3,6,7,4]=>[2,7,1,5,3,6,4]
[5,2,1,3,7,4,6]=>[2,7,1,5,3,4,6]
[5,2,1,3,7,6,4]=>[2,6,1,5,3,7,4]
[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]=>[2,6,5,1,4,3,7]
[5,2,1,4,6,7,3]=>[2,7,5,1,4,6,3]
[5,2,1,4,7,3,6]=>[2,7,5,1,4,3,6]
[5,2,1,4,7,6,3]=>[2,6,5,1,4,7,3]
[5,2,1,6,3,4,7]=>[2,6,5,1,3,4,7]
[5,2,1,6,3,7,4]=>[2,7,6,5,1,3,4]
[5,2,1,6,4,3,7]=>[2,4,6,5,1,3,7]
[5,2,1,6,4,7,3]=>[2,7,6,5,1,4,3]
[5,2,1,6,7,3,4]=>[2,7,5,1,3,6,4]
[5,2,1,6,7,4,3]=>[2,4,7,5,1,6,3]
[5,2,1,7,3,4,6]=>[2,7,5,1,3,4,6]
[5,2,1,7,3,6,4]=>[2,6,7,5,1,3,4]
[5,2,1,7,4,3,6]=>[2,4,7,5,1,3,6]
[5,2,1,7,4,6,3]=>[2,6,7,5,1,4,3]
[5,2,1,7,6,3,4]=>[2,6,5,1,3,7,4]
[5,2,1,7,6,4,3]=>[2,4,6,5,1,7,3]
[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]
[5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]
[5,2,3,1,6,4,7]=>[3,6,2,5,1,4,7]
[5,2,3,1,6,7,4]=>[3,7,2,5,1,6,4]
[5,2,3,1,7,4,6]=>[3,7,2,5,1,4,6]
[5,2,3,1,7,6,4]=>[3,6,2,5,1,7,4]
[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]
[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]
[5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]
[5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]
[5,2,3,4,7,6,1]=>[6,5,2,3,4,7,1]
[5,2,3,6,1,4,7]=>[6,5,2,3,1,4,7]
[5,2,3,6,1,7,4]=>[7,6,2,5,3,1,4]
[5,2,3,6,4,1,7]=>[4,6,2,5,3,1,7]
[5,2,3,6,4,7,1]=>[7,6,2,5,3,4,1]
[5,2,3,6,7,1,4]=>[7,5,2,3,1,6,4]
[5,2,3,6,7,4,1]=>[4,7,2,5,3,6,1]
[5,2,3,7,1,4,6]=>[7,5,2,3,1,4,6]
[5,2,3,7,1,6,4]=>[6,7,2,5,3,1,4]
[5,2,3,7,4,1,6]=>[4,7,2,5,3,1,6]
[5,2,3,7,4,6,1]=>[6,7,2,5,3,4,1]
[5,2,3,7,6,1,4]=>[6,5,2,3,1,7,4]
[5,2,3,7,6,4,1]=>[4,6,2,5,3,7,1]
[5,2,4,1,3,6,7]=>[4,5,2,1,3,6,7]
[5,2,4,1,3,7,6]=>[4,5,2,1,3,7,6]
[5,2,4,1,6,3,7]=>[6,4,5,2,1,3,7]
[5,2,4,1,6,7,3]=>[7,4,5,2,1,6,3]
[5,2,4,1,7,3,6]=>[7,4,5,2,1,3,6]
[5,2,4,1,7,6,3]=>[6,4,5,2,1,7,3]
[5,2,4,3,1,6,7]=>[3,4,5,2,1,6,7]
[5,2,4,3,1,7,6]=>[3,4,5,2,1,7,6]
[5,2,4,3,6,1,7]=>[6,4,5,2,3,1,7]
[5,2,4,3,6,7,1]=>[7,4,5,2,3,6,1]
[5,2,4,3,7,1,6]=>[7,4,5,2,3,1,6]
[5,2,4,3,7,6,1]=>[6,4,5,2,3,7,1]
[5,2,4,6,1,3,7]=>[6,5,2,1,4,3,7]
[5,2,4,6,1,7,3]=>[7,6,5,2,4,1,3]
[5,2,4,6,3,1,7]=>[3,6,5,2,4,1,7]
[5,2,4,6,3,7,1]=>[7,6,5,2,4,3,1]
[5,2,4,6,7,1,3]=>[7,5,2,1,4,6,3]
[5,2,4,6,7,3,1]=>[3,7,5,2,4,6,1]
[5,2,4,7,1,3,6]=>[7,5,2,1,4,3,6]
[5,2,4,7,1,6,3]=>[6,7,5,2,4,1,3]
[5,2,4,7,3,1,6]=>[3,7,5,2,4,1,6]
[5,2,4,7,3,6,1]=>[6,7,5,2,4,3,1]
[5,2,4,7,6,1,3]=>[6,5,2,1,4,7,3]
[5,2,4,7,6,3,1]=>[3,6,5,2,4,7,1]
[5,2,6,1,3,4,7]=>[6,5,2,1,3,4,7]
[5,2,6,1,3,7,4]=>[7,6,2,5,1,3,4]
[5,2,6,1,4,3,7]=>[4,6,5,2,1,3,7]
[5,2,6,1,4,7,3]=>[7,6,5,2,1,4,3]
[5,2,6,1,7,3,4]=>[7,6,5,2,1,3,4]
[5,2,6,1,7,4,3]=>[4,7,6,5,2,1,3]
[5,2,6,3,1,4,7]=>[3,6,5,2,1,4,7]
[5,2,6,3,1,7,4]=>[3,7,6,5,2,1,4]
[5,2,6,3,4,1,7]=>[4,6,5,2,3,1,7]
[5,2,6,3,4,7,1]=>[7,6,5,2,3,4,1]
[5,2,6,3,7,1,4]=>[7,6,5,2,3,1,4]
[5,2,6,3,7,4,1]=>[4,7,6,5,2,3,1]
[5,2,6,4,1,3,7]=>[4,6,2,5,1,3,7]
[5,2,6,4,1,7,3]=>[7,4,6,5,2,1,3]
[5,2,6,4,3,1,7]=>[3,4,6,5,2,1,7]
[5,2,6,4,3,7,1]=>[7,4,6,5,2,3,1]
[5,2,6,4,7,1,3]=>[7,6,2,5,1,4,3]
[5,2,6,4,7,3,1]=>[3,7,6,5,2,4,1]
[5,2,6,7,1,3,4]=>[7,5,2,1,3,6,4]
[5,2,6,7,1,4,3]=>[4,7,5,2,1,6,3]
[5,2,6,7,3,1,4]=>[3,7,5,2,1,6,4]
[5,2,6,7,3,4,1]=>[4,7,5,2,3,6,1]
[5,2,6,7,4,1,3]=>[4,7,2,5,1,6,3]
[5,2,6,7,4,3,1]=>[3,4,7,5,2,6,1]
[5,2,7,1,3,4,6]=>[7,5,2,1,3,4,6]
[5,2,7,1,3,6,4]=>[6,7,2,5,1,3,4]
[5,2,7,1,4,3,6]=>[4,7,5,2,1,3,6]
[5,2,7,1,4,6,3]=>[6,7,5,2,1,4,3]
[5,2,7,1,6,3,4]=>[6,7,5,2,1,3,4]
[5,2,7,1,6,4,3]=>[4,6,7,5,2,1,3]
[5,2,7,3,1,4,6]=>[3,7,5,2,1,4,6]
[5,2,7,3,1,6,4]=>[3,6,7,5,2,1,4]
[5,2,7,3,4,1,6]=>[4,7,5,2,3,1,6]
[5,2,7,3,4,6,1]=>[6,7,5,2,3,4,1]
[5,2,7,3,6,1,4]=>[6,7,5,2,3,1,4]
[5,2,7,3,6,4,1]=>[4,6,7,5,2,3,1]
[5,2,7,4,1,3,6]=>[4,7,2,5,1,3,6]
[5,2,7,4,1,6,3]=>[6,4,7,5,2,1,3]
[5,2,7,4,3,1,6]=>[3,4,7,5,2,1,6]
[5,2,7,4,3,6,1]=>[6,4,7,5,2,3,1]
[5,2,7,4,6,1,3]=>[6,7,2,5,1,4,3]
[5,2,7,4,6,3,1]=>[3,6,7,5,2,4,1]
[5,2,7,6,1,3,4]=>[6,5,2,1,3,7,4]
[5,2,7,6,1,4,3]=>[4,6,5,2,1,7,3]
[5,2,7,6,3,1,4]=>[3,6,5,2,1,7,4]
[5,2,7,6,3,4,1]=>[4,6,5,2,3,7,1]
[5,2,7,6,4,1,3]=>[4,6,2,5,1,7,3]
[5,2,7,6,4,3,1]=>[3,4,6,5,2,7,1]
[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]=>[3,1,7,5,2,6,4]
[5,3,1,2,7,4,6]=>[3,1,7,5,2,4,6]
[5,3,1,2,7,6,4]=>[3,1,6,5,2,7,4]
[5,3,1,4,2,6,7]=>[4,3,5,1,2,6,7]
[5,3,1,4,2,7,6]=>[4,3,5,1,2,7,6]
[5,3,1,4,6,2,7]=>[6,3,5,1,4,2,7]
[5,3,1,4,6,7,2]=>[7,3,5,1,4,6,2]
[5,3,1,4,7,2,6]=>[7,3,5,1,4,2,6]
[5,3,1,4,7,6,2]=>[6,3,5,1,4,7,2]
[5,3,1,6,2,4,7]=>[6,3,5,1,2,4,7]
[5,3,1,6,2,7,4]=>[7,3,6,5,1,2,4]
[5,3,1,6,4,2,7]=>[4,3,6,5,1,2,7]
[5,3,1,6,4,7,2]=>[7,3,6,5,1,4,2]
[5,3,1,6,7,2,4]=>[7,3,5,1,2,6,4]
[5,3,1,6,7,4,2]=>[4,3,7,5,1,6,2]
[5,3,1,7,2,4,6]=>[7,3,5,1,2,4,6]
[5,3,1,7,2,6,4]=>[6,3,7,5,1,2,4]
[5,3,1,7,4,2,6]=>[4,3,7,5,1,2,6]
[5,3,1,7,4,6,2]=>[6,3,7,5,1,4,2]
[5,3,1,7,6,2,4]=>[6,3,5,1,2,7,4]
[5,3,1,7,6,4,2]=>[4,3,6,5,1,7,2]
[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]
[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]
[5,3,2,1,6,4,7]=>[2,3,6,5,1,4,7]
[5,3,2,1,6,7,4]=>[2,3,7,5,1,6,4]
[5,3,2,1,7,4,6]=>[2,3,7,5,1,4,6]
[5,3,2,1,7,6,4]=>[2,3,6,5,1,7,4]
[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]
[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]
[5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]
[5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]
[5,3,2,4,7,6,1]=>[6,3,5,2,4,7,1]
[5,3,2,6,1,4,7]=>[6,3,5,2,1,4,7]
[5,3,2,6,1,7,4]=>[7,3,6,5,2,1,4]
[5,3,2,6,4,1,7]=>[4,3,6,5,2,1,7]
[5,3,2,6,4,7,1]=>[7,3,6,5,2,4,1]
[5,3,2,6,7,1,4]=>[7,3,5,2,1,6,4]
[5,3,2,6,7,4,1]=>[4,3,7,5,2,6,1]
[5,3,2,7,1,4,6]=>[7,3,5,2,1,4,6]
[5,3,2,7,1,6,4]=>[6,3,7,5,2,1,4]
[5,3,2,7,4,1,6]=>[4,3,7,5,2,1,6]
[5,3,2,7,4,6,1]=>[6,3,7,5,2,4,1]
[5,3,2,7,6,1,4]=>[6,3,5,2,1,7,4]
[5,3,2,7,6,4,1]=>[4,3,6,5,2,7,1]
[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]
[5,3,4,1,6,2,7]=>[6,4,5,3,1,2,7]
[5,3,4,1,6,7,2]=>[7,4,5,3,1,6,2]
[5,3,4,1,7,2,6]=>[7,4,5,3,1,2,6]
[5,3,4,1,7,6,2]=>[6,4,5,3,1,7,2]
[5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]
[5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]
[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]
[5,3,4,2,6,7,1]=>[7,4,5,3,2,6,1]
[5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]
[5,3,4,2,7,6,1]=>[6,4,5,3,2,7,1]
[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]
[5,3,4,6,1,7,2]=>[7,6,5,3,4,1,2]
[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]
[5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]
[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]
[5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]
[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]
[5,3,4,7,1,6,2]=>[6,7,5,3,4,1,2]
[5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]
[5,3,4,7,2,6,1]=>[6,7,5,3,4,2,1]
[5,3,4,7,6,1,2]=>[6,1,5,3,4,7,2]
[5,3,4,7,6,2,1]=>[2,6,5,3,4,7,1]
[5,3,6,1,2,4,7]=>[6,1,5,3,2,4,7]
[5,3,6,1,2,7,4]=>[7,1,6,5,3,2,4]
[5,3,6,1,4,2,7]=>[4,6,5,3,1,2,7]
[5,3,6,1,4,7,2]=>[7,6,5,3,1,4,2]
[5,3,6,1,7,2,4]=>[7,6,5,3,1,2,4]
[5,3,6,1,7,4,2]=>[4,7,6,5,3,1,2]
[5,3,6,2,1,4,7]=>[2,6,5,3,1,4,7]
[5,3,6,2,1,7,4]=>[2,7,6,5,3,1,4]
[5,3,6,2,4,1,7]=>[4,6,5,3,2,1,7]
[5,3,6,2,4,7,1]=>[7,6,5,3,2,4,1]
[5,3,6,2,7,1,4]=>[7,6,5,3,2,1,4]
[5,3,6,2,7,4,1]=>[4,7,6,5,3,2,1]
[5,3,6,4,1,2,7]=>[4,1,6,5,3,2,7]
[5,3,6,4,1,7,2]=>[7,4,6,5,3,1,2]
[5,3,6,4,2,1,7]=>[2,4,6,5,3,1,7]
[5,3,6,4,2,7,1]=>[7,4,6,5,3,2,1]
[5,3,6,4,7,1,2]=>[7,1,6,5,3,4,2]
[5,3,6,4,7,2,1]=>[2,7,6,5,3,4,1]
[5,3,6,7,1,2,4]=>[7,1,5,3,2,6,4]
[5,3,6,7,1,4,2]=>[4,7,5,3,1,6,2]
[5,3,6,7,2,1,4]=>[2,7,5,3,1,6,4]
[5,3,6,7,2,4,1]=>[4,7,5,3,2,6,1]
[5,3,6,7,4,1,2]=>[4,1,7,5,3,6,2]
[5,3,6,7,4,2,1]=>[2,4,7,5,3,6,1]
[5,3,7,1,2,4,6]=>[7,1,5,3,2,4,6]
[5,3,7,1,2,6,4]=>[6,1,7,5,3,2,4]
[5,3,7,1,4,2,6]=>[4,7,5,3,1,2,6]
[5,3,7,1,4,6,2]=>[6,7,5,3,1,4,2]
[5,3,7,1,6,2,4]=>[6,7,5,3,1,2,4]
[5,3,7,1,6,4,2]=>[4,6,7,5,3,1,2]
[5,3,7,2,1,4,6]=>[2,7,5,3,1,4,6]
[5,3,7,2,1,6,4]=>[2,6,7,5,3,1,4]
[5,3,7,2,4,1,6]=>[4,7,5,3,2,1,6]
[5,3,7,2,4,6,1]=>[6,7,5,3,2,4,1]
[5,3,7,2,6,1,4]=>[6,7,5,3,2,1,4]
[5,3,7,2,6,4,1]=>[4,6,7,5,3,2,1]
[5,3,7,4,1,2,6]=>[4,1,7,5,3,2,6]
[5,3,7,4,1,6,2]=>[6,4,7,5,3,1,2]
[5,3,7,4,2,1,6]=>[2,4,7,5,3,1,6]
[5,3,7,4,2,6,1]=>[6,4,7,5,3,2,1]
[5,3,7,4,6,1,2]=>[6,1,7,5,3,4,2]
[5,3,7,4,6,2,1]=>[2,6,7,5,3,4,1]
[5,3,7,6,1,2,4]=>[6,1,5,3,2,7,4]
[5,3,7,6,1,4,2]=>[4,6,5,3,1,7,2]
[5,3,7,6,2,1,4]=>[2,6,5,3,1,7,4]
[5,3,7,6,2,4,1]=>[4,6,5,3,2,7,1]
[5,3,7,6,4,1,2]=>[4,1,6,5,3,7,2]
[5,3,7,6,4,2,1]=>[2,4,6,5,3,7,1]
[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]
[5,4,1,2,6,3,7]=>[6,1,4,5,2,3,7]
[5,4,1,2,6,7,3]=>[7,1,4,5,2,6,3]
[5,4,1,2,7,3,6]=>[7,1,4,5,2,3,6]
[5,4,1,2,7,6,3]=>[6,1,4,5,2,7,3]
[5,4,1,3,2,6,7]=>[3,4,1,5,2,6,7]
[5,4,1,3,2,7,6]=>[3,4,1,5,2,7,6]
[5,4,1,3,6,2,7]=>[6,4,1,5,3,2,7]
[5,4,1,3,6,7,2]=>[7,4,1,5,3,6,2]
[5,4,1,3,7,2,6]=>[7,4,1,5,3,2,6]
[5,4,1,3,7,6,2]=>[6,4,1,5,3,7,2]
[5,4,1,6,2,3,7]=>[6,4,1,5,2,3,7]
[5,4,1,6,2,7,3]=>[7,6,4,5,1,2,3]
[5,4,1,6,3,2,7]=>[3,6,4,5,1,2,7]
[5,4,1,6,3,7,2]=>[7,6,4,5,1,3,2]
[5,4,1,6,7,2,3]=>[7,4,1,5,2,6,3]
[5,4,1,6,7,3,2]=>[3,7,4,5,1,6,2]
[5,4,1,7,2,3,6]=>[7,4,1,5,2,3,6]
[5,4,1,7,2,6,3]=>[6,7,4,5,1,2,3]
[5,4,1,7,3,2,6]=>[3,7,4,5,1,2,6]
[5,4,1,7,3,6,2]=>[6,7,4,5,1,3,2]
[5,4,1,7,6,2,3]=>[6,4,1,5,2,7,3]
[5,4,1,7,6,3,2]=>[3,6,4,5,1,7,2]
[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]
[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]
[5,4,2,1,6,3,7]=>[2,6,4,5,1,3,7]
[5,4,2,1,6,7,3]=>[2,7,4,5,1,6,3]
[5,4,2,1,7,3,6]=>[2,7,4,5,1,3,6]
[5,4,2,1,7,6,3]=>[2,6,4,5,1,7,3]
[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]
[5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]
[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]
[5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]
[5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]
[5,4,2,3,7,6,1]=>[6,4,2,5,3,7,1]
[5,4,2,6,1,3,7]=>[6,4,2,5,1,3,7]
[5,4,2,6,1,7,3]=>[7,6,4,5,2,1,3]
[5,4,2,6,3,1,7]=>[3,6,4,5,2,1,7]
[5,4,2,6,3,7,1]=>[7,6,4,5,2,3,1]
[5,4,2,6,7,1,3]=>[7,4,2,5,1,6,3]
[5,4,2,6,7,3,1]=>[3,7,4,5,2,6,1]
[5,4,2,7,1,3,6]=>[7,4,2,5,1,3,6]
[5,4,2,7,1,6,3]=>[6,7,4,5,2,1,3]
[5,4,2,7,3,1,6]=>[3,7,4,5,2,1,6]
[5,4,2,7,3,6,1]=>[6,7,4,5,2,3,1]
[5,4,2,7,6,1,3]=>[6,4,2,5,1,7,3]
[5,4,2,7,6,3,1]=>[3,6,4,5,2,7,1]
[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]
[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]
[5,4,3,1,6,2,7]=>[6,3,4,5,1,2,7]
[5,4,3,1,6,7,2]=>[7,3,4,5,1,6,2]
[5,4,3,1,7,2,6]=>[7,3,4,5,1,2,6]
[5,4,3,1,7,6,2]=>[6,3,4,5,1,7,2]
[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]
[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]
[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]
[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]
[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1]
[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]
[5,4,3,6,1,7,2]=>[7,6,4,5,3,1,2]
[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]
[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]
[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]
[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]
[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]
[5,4,3,7,1,6,2]=>[6,7,4,5,3,1,2]
[5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]
[5,4,3,7,2,6,1]=>[6,7,4,5,3,2,1]
[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2]
[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]
[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[5,4,6,1,2,7,3]=>[7,1,6,5,4,2,3]
[5,4,6,1,3,2,7]=>[3,6,1,5,4,2,7]
[5,4,6,1,3,7,2]=>[7,6,1,5,4,3,2]
[5,4,6,1,7,2,3]=>[7,6,1,5,4,2,3]
[5,4,6,1,7,3,2]=>[3,7,6,5,4,1,2]
[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]
[5,4,6,2,1,7,3]=>[2,7,6,5,4,1,3]
[5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]
[5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]
[5,4,6,2,7,1,3]=>[7,6,2,5,4,1,3]
[5,4,6,2,7,3,1]=>[3,7,6,5,4,2,1]
[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]
[5,4,6,3,1,7,2]=>[7,3,6,5,4,1,2]
[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]
[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]
[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]
[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]
[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]
[5,4,6,7,1,3,2]=>[3,7,1,5,4,6,2]
[5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]
[5,4,6,7,2,3,1]=>[3,7,2,5,4,6,1]
[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]
[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]
[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]
[5,4,7,1,2,6,3]=>[6,1,7,5,4,2,3]
[5,4,7,1,3,2,6]=>[3,7,1,5,4,2,6]
[5,4,7,1,3,6,2]=>[6,7,1,5,4,3,2]
[5,4,7,1,6,2,3]=>[6,7,1,5,4,2,3]
[5,4,7,1,6,3,2]=>[3,6,7,5,4,1,2]
[5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]
[5,4,7,2,1,6,3]=>[2,6,7,5,4,1,3]
[5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]
[5,4,7,2,3,6,1]=>[6,7,2,5,4,3,1]
[5,4,7,2,6,1,3]=>[6,7,2,5,4,1,3]
[5,4,7,2,6,3,1]=>[3,6,7,5,4,2,1]
[5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]
[5,4,7,3,1,6,2]=>[6,3,7,5,4,1,2]
[5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]
[5,4,7,3,2,6,1]=>[6,3,7,5,4,2,1]
[5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]
[5,4,7,3,6,2,1]=>[2,6,7,5,4,3,1]
[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3]
[5,4,7,6,1,3,2]=>[3,6,1,5,4,7,2]
[5,4,7,6,2,1,3]=>[2,6,1,5,4,7,3]
[5,4,7,6,2,3,1]=>[3,6,2,5,4,7,1]
[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2]
[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]
[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[5,6,1,2,3,7,4]=>[7,1,2,6,5,3,4]
[5,6,1,2,4,3,7]=>[4,1,6,2,5,3,7]
[5,6,1,2,4,7,3]=>[7,1,6,2,5,4,3]
[5,6,1,2,7,3,4]=>[7,1,6,2,5,3,4]
[5,6,1,2,7,4,3]=>[4,1,7,6,5,2,3]
[5,6,1,3,2,4,7]=>[3,6,1,2,5,4,7]
[5,6,1,3,2,7,4]=>[3,7,1,6,5,2,4]
[5,6,1,3,4,2,7]=>[4,6,1,3,5,2,7]
[5,6,1,3,4,7,2]=>[7,6,1,3,5,4,2]
[5,6,1,3,7,2,4]=>[7,6,1,3,5,2,4]
[5,6,1,3,7,4,2]=>[4,7,1,6,5,3,2]
[5,6,1,4,2,3,7]=>[4,6,1,2,5,3,7]
[5,6,1,4,2,7,3]=>[7,4,6,1,5,2,3]
[5,6,1,4,3,2,7]=>[3,4,6,1,5,2,7]
[5,6,1,4,3,7,2]=>[7,4,6,1,5,3,2]
[5,6,1,4,7,2,3]=>[7,6,1,2,5,4,3]
[5,6,1,4,7,3,2]=>[3,7,6,1,5,4,2]
[5,6,1,7,2,3,4]=>[7,6,1,2,5,3,4]
[5,6,1,7,2,4,3]=>[4,7,6,1,5,2,3]
[5,6,1,7,3,2,4]=>[3,7,6,1,5,2,4]
[5,6,1,7,3,4,2]=>[4,7,6,1,5,3,2]
[5,6,1,7,4,2,3]=>[4,7,1,6,5,2,3]
[5,6,1,7,4,3,2]=>[3,4,7,6,5,1,2]
[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]
[5,6,2,1,3,7,4]=>[2,7,1,6,5,3,4]
[5,6,2,1,4,3,7]=>[2,4,6,1,5,3,7]
[5,6,2,1,4,7,3]=>[2,7,6,1,5,4,3]
[5,6,2,1,7,3,4]=>[2,7,6,1,5,3,4]
[5,6,2,1,7,4,3]=>[2,4,7,6,5,1,3]
[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]
[5,6,2,3,1,7,4]=>[3,7,2,6,5,1,4]
[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]
[5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]
[5,6,2,3,7,1,4]=>[7,6,2,3,5,1,4]
[5,6,2,3,7,4,1]=>[4,7,2,6,5,3,1]
[5,6,2,4,1,3,7]=>[4,6,2,1,5,3,7]
[5,6,2,4,1,7,3]=>[7,4,6,2,5,1,3]
[5,6,2,4,3,1,7]=>[3,4,6,2,5,1,7]
[5,6,2,4,3,7,1]=>[7,4,6,2,5,3,1]
[5,6,2,4,7,1,3]=>[7,6,2,1,5,4,3]
[5,6,2,4,7,3,1]=>[3,7,6,2,5,4,1]
[5,6,2,7,1,3,4]=>[7,6,2,1,5,3,4]
[5,6,2,7,1,4,3]=>[4,7,6,2,5,1,3]
[5,6,2,7,3,1,4]=>[3,7,6,2,5,1,4]
[5,6,2,7,3,4,1]=>[4,7,6,2,5,3,1]
[5,6,2,7,4,1,3]=>[4,7,2,6,5,1,3]
[5,6,2,7,4,3,1]=>[3,4,7,6,5,2,1]
[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]
[5,6,3,1,2,7,4]=>[3,1,7,6,5,2,4]
[5,6,3,1,4,2,7]=>[4,3,6,1,5,2,7]
[5,6,3,1,4,7,2]=>[7,3,6,1,5,4,2]
[5,6,3,1,7,2,4]=>[7,3,6,1,5,2,4]
[5,6,3,1,7,4,2]=>[4,3,7,6,5,1,2]
[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]
[5,6,3,2,1,7,4]=>[2,3,7,6,5,1,4]
[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]
[5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]
[5,6,3,2,7,1,4]=>[7,3,6,2,5,1,4]
[5,6,3,2,7,4,1]=>[4,3,7,6,5,2,1]
[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]
[5,6,3,4,1,7,2]=>[7,4,6,3,5,1,2]
[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]
[5,6,3,4,2,7,1]=>[7,4,6,3,5,2,1]
[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]
[5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]
[5,6,3,7,1,2,4]=>[7,1,6,3,5,2,4]
[5,6,3,7,1,4,2]=>[4,7,6,3,5,1,2]
[5,6,3,7,2,1,4]=>[2,7,6,3,5,1,4]
[5,6,3,7,2,4,1]=>[4,7,6,3,5,2,1]
[5,6,3,7,4,1,2]=>[4,1,7,6,5,3,2]
[5,6,3,7,4,2,1]=>[2,4,7,6,5,3,1]
[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]
[5,6,4,1,2,7,3]=>[7,1,4,6,5,2,3]
[5,6,4,1,3,2,7]=>[3,4,1,6,5,2,7]
[5,6,4,1,3,7,2]=>[7,4,1,6,5,3,2]
[5,6,4,1,7,2,3]=>[7,4,1,6,5,2,3]
[5,6,4,1,7,3,2]=>[3,7,4,6,5,1,2]
[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]
[5,6,4,2,1,7,3]=>[2,7,4,6,5,1,3]
[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]
[5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]
[5,6,4,2,7,1,3]=>[7,4,2,6,5,1,3]
[5,6,4,2,7,3,1]=>[3,7,4,6,5,2,1]
[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]
[5,6,4,3,1,7,2]=>[7,3,4,6,5,1,2]
[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]
[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]
[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]
[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]
[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]
[5,6,4,7,1,3,2]=>[3,7,1,6,5,4,2]
[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]
[5,6,4,7,2,3,1]=>[3,7,2,6,5,4,1]
[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]
[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]
[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[5,6,7,1,2,4,3]=>[4,1,7,2,5,6,3]
[5,6,7,1,3,2,4]=>[3,7,1,2,5,6,4]
[5,6,7,1,3,4,2]=>[4,7,1,3,5,6,2]
[5,6,7,1,4,2,3]=>[4,7,1,2,5,6,3]
[5,6,7,1,4,3,2]=>[3,4,7,1,5,6,2]
[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]
[5,6,7,2,1,4,3]=>[2,4,7,1,5,6,3]
[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]
[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1]
[5,6,7,2,4,1,3]=>[4,7,2,1,5,6,3]
[5,6,7,2,4,3,1]=>[3,4,7,2,5,6,1]
[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]
[5,6,7,3,1,4,2]=>[4,3,7,1,5,6,2]
[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]
[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1]
[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]
[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1]
[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]
[5,6,7,4,1,3,2]=>[3,4,1,7,5,6,2]
[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]
[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1]
[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]
[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]
[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]
[5,7,1,2,3,6,4]=>[6,1,2,7,5,3,4]
[5,7,1,2,4,3,6]=>[4,1,7,2,5,3,6]
[5,7,1,2,4,6,3]=>[6,1,7,2,5,4,3]
[5,7,1,2,6,3,4]=>[6,1,7,2,5,3,4]
[5,7,1,2,6,4,3]=>[4,1,6,7,5,2,3]
[5,7,1,3,2,4,6]=>[3,7,1,2,5,4,6]
[5,7,1,3,2,6,4]=>[3,6,1,7,5,2,4]
[5,7,1,3,4,2,6]=>[4,7,1,3,5,2,6]
[5,7,1,3,4,6,2]=>[6,7,1,3,5,4,2]
[5,7,1,3,6,2,4]=>[6,7,1,3,5,2,4]
[5,7,1,3,6,4,2]=>[4,6,1,7,5,3,2]
[5,7,1,4,2,3,6]=>[4,7,1,2,5,3,6]
[5,7,1,4,2,6,3]=>[6,4,7,1,5,2,3]
[5,7,1,4,3,2,6]=>[3,4,7,1,5,2,6]
[5,7,1,4,3,6,2]=>[6,4,7,1,5,3,2]
[5,7,1,4,6,2,3]=>[6,7,1,2,5,4,3]
[5,7,1,4,6,3,2]=>[3,6,7,1,5,4,2]
[5,7,1,6,2,3,4]=>[6,7,1,2,5,3,4]
[5,7,1,6,2,4,3]=>[4,6,7,1,5,2,3]
[5,7,1,6,3,2,4]=>[3,6,7,1,5,2,4]
[5,7,1,6,3,4,2]=>[4,6,7,1,5,3,2]
[5,7,1,6,4,2,3]=>[4,6,1,7,5,2,3]
[5,7,1,6,4,3,2]=>[3,4,6,7,5,1,2]
[5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]
[5,7,2,1,3,6,4]=>[2,6,1,7,5,3,4]
[5,7,2,1,4,3,6]=>[2,4,7,1,5,3,6]
[5,7,2,1,4,6,3]=>[2,6,7,1,5,4,3]
[5,7,2,1,6,3,4]=>[2,6,7,1,5,3,4]
[5,7,2,1,6,4,3]=>[2,4,6,7,5,1,3]
[5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]
[5,7,2,3,1,6,4]=>[3,6,2,7,5,1,4]
[5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]
[5,7,2,3,4,6,1]=>[6,7,2,3,5,4,1]
[5,7,2,3,6,1,4]=>[6,7,2,3,5,1,4]
[5,7,2,3,6,4,1]=>[4,6,2,7,5,3,1]
[5,7,2,4,1,3,6]=>[4,7,2,1,5,3,6]
[5,7,2,4,1,6,3]=>[6,4,7,2,5,1,3]
[5,7,2,4,3,1,6]=>[3,4,7,2,5,1,6]
[5,7,2,4,3,6,1]=>[6,4,7,2,5,3,1]
[5,7,2,4,6,1,3]=>[6,7,2,1,5,4,3]
[5,7,2,4,6,3,1]=>[3,6,7,2,5,4,1]
[5,7,2,6,1,3,4]=>[6,7,2,1,5,3,4]
[5,7,2,6,1,4,3]=>[4,6,7,2,5,1,3]
[5,7,2,6,3,1,4]=>[3,6,7,2,5,1,4]
[5,7,2,6,3,4,1]=>[4,6,7,2,5,3,1]
[5,7,2,6,4,1,3]=>[4,6,2,7,5,1,3]
[5,7,2,6,4,3,1]=>[3,4,6,7,5,2,1]
[5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]
[5,7,3,1,2,6,4]=>[3,1,6,7,5,2,4]
[5,7,3,1,4,2,6]=>[4,3,7,1,5,2,6]
[5,7,3,1,4,6,2]=>[6,3,7,1,5,4,2]
[5,7,3,1,6,2,4]=>[6,3,7,1,5,2,4]
[5,7,3,1,6,4,2]=>[4,3,6,7,5,1,2]
[5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]
[5,7,3,2,1,6,4]=>[2,3,6,7,5,1,4]
[5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]
[5,7,3,2,4,6,1]=>[6,3,7,2,5,4,1]
[5,7,3,2,6,1,4]=>[6,3,7,2,5,1,4]
[5,7,3,2,6,4,1]=>[4,3,6,7,5,2,1]
[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]
[5,7,3,4,1,6,2]=>[6,4,7,3,5,1,2]
[5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]
[5,7,3,4,2,6,1]=>[6,4,7,3,5,2,1]
[5,7,3,4,6,1,2]=>[6,1,7,3,5,4,2]
[5,7,3,4,6,2,1]=>[2,6,7,3,5,4,1]
[5,7,3,6,1,2,4]=>[6,1,7,3,5,2,4]
[5,7,3,6,1,4,2]=>[4,6,7,3,5,1,2]
[5,7,3,6,2,1,4]=>[2,6,7,3,5,1,4]
[5,7,3,6,2,4,1]=>[4,6,7,3,5,2,1]
[5,7,3,6,4,1,2]=>[4,1,6,7,5,3,2]
[5,7,3,6,4,2,1]=>[2,4,6,7,5,3,1]
[5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]
[5,7,4,1,2,6,3]=>[6,1,4,7,5,2,3]
[5,7,4,1,3,2,6]=>[3,4,1,7,5,2,6]
[5,7,4,1,3,6,2]=>[6,4,1,7,5,3,2]
[5,7,4,1,6,2,3]=>[6,4,1,7,5,2,3]
[5,7,4,1,6,3,2]=>[3,6,4,7,5,1,2]
[5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]
[5,7,4,2,1,6,3]=>[2,6,4,7,5,1,3]
[5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]
[5,7,4,2,3,6,1]=>[6,4,2,7,5,3,1]
[5,7,4,2,6,1,3]=>[6,4,2,7,5,1,3]
[5,7,4,2,6,3,1]=>[3,6,4,7,5,2,1]
[5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]
[5,7,4,3,1,6,2]=>[6,3,4,7,5,1,2]
[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]
[5,7,4,3,2,6,1]=>[6,3,4,7,5,2,1]
[5,7,4,3,6,1,2]=>[6,1,4,7,5,3,2]
[5,7,4,3,6,2,1]=>[2,6,4,7,5,3,1]
[5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]
[5,7,4,6,1,3,2]=>[3,6,1,7,5,4,2]
[5,7,4,6,2,1,3]=>[2,6,1,7,5,4,3]
[5,7,4,6,2,3,1]=>[3,6,2,7,5,4,1]
[5,7,4,6,3,1,2]=>[3,1,6,7,5,4,2]
[5,7,4,6,3,2,1]=>[2,3,6,7,5,4,1]
[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4]
[5,7,6,1,2,4,3]=>[4,1,6,2,5,7,3]
[5,7,6,1,3,2,4]=>[3,6,1,2,5,7,4]
[5,7,6,1,3,4,2]=>[4,6,1,3,5,7,2]
[5,7,6,1,4,2,3]=>[4,6,1,2,5,7,3]
[5,7,6,1,4,3,2]=>[3,4,6,1,5,7,2]
[5,7,6,2,1,3,4]=>[2,6,1,3,5,7,4]
[5,7,6,2,1,4,3]=>[2,4,6,1,5,7,3]
[5,7,6,2,3,1,4]=>[3,6,2,1,5,7,4]
[5,7,6,2,3,4,1]=>[4,6,2,3,5,7,1]
[5,7,6,2,4,1,3]=>[4,6,2,1,5,7,3]
[5,7,6,2,4,3,1]=>[3,4,6,2,5,7,1]
[5,7,6,3,1,2,4]=>[3,1,6,2,5,7,4]
[5,7,6,3,1,4,2]=>[4,3,6,1,5,7,2]
[5,7,6,3,2,1,4]=>[2,3,6,1,5,7,4]
[5,7,6,3,2,4,1]=>[4,3,6,2,5,7,1]
[5,7,6,3,4,1,2]=>[4,1,6,3,5,7,2]
[5,7,6,3,4,2,1]=>[2,4,6,3,5,7,1]
[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3]
[5,7,6,4,1,3,2]=>[3,4,1,6,5,7,2]
[5,7,6,4,2,1,3]=>[2,4,1,6,5,7,3]
[5,7,6,4,2,3,1]=>[3,4,2,6,5,7,1]
[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2]
[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[6,1,2,3,4,7,5]=>[7,1,2,3,6,4,5]
[6,1,2,3,5,4,7]=>[5,1,2,6,3,4,7]
[6,1,2,3,5,7,4]=>[7,1,2,6,3,5,4]
[6,1,2,3,7,4,5]=>[7,1,2,6,3,4,5]
[6,1,2,3,7,5,4]=>[5,1,2,7,6,3,4]
[6,1,2,4,3,5,7]=>[4,1,6,2,3,5,7]
[6,1,2,4,3,7,5]=>[4,1,7,2,6,3,5]
[6,1,2,4,5,3,7]=>[5,1,6,2,4,3,7]
[6,1,2,4,5,7,3]=>[7,1,6,2,4,5,3]
[6,1,2,4,7,3,5]=>[7,1,6,2,4,3,5]
[6,1,2,4,7,5,3]=>[5,1,7,2,6,4,3]
[6,1,2,5,3,4,7]=>[5,1,6,2,3,4,7]
[6,1,2,5,3,7,4]=>[7,1,5,6,2,3,4]
[6,1,2,5,4,3,7]=>[4,1,5,6,2,3,7]
[6,1,2,5,4,7,3]=>[7,1,5,6,2,4,3]
[6,1,2,5,7,3,4]=>[7,1,6,2,3,5,4]
[6,1,2,5,7,4,3]=>[4,1,7,6,2,5,3]
[6,1,2,7,3,4,5]=>[7,1,6,2,3,4,5]
[6,1,2,7,3,5,4]=>[5,1,7,6,2,3,4]
[6,1,2,7,4,3,5]=>[4,1,7,6,2,3,5]
[6,1,2,7,4,5,3]=>[5,1,7,6,2,4,3]
[6,1,2,7,5,3,4]=>[5,1,7,2,6,3,4]
[6,1,2,7,5,4,3]=>[4,1,5,7,6,2,3]
[6,1,3,2,4,5,7]=>[3,6,1,2,4,5,7]
[6,1,3,2,4,7,5]=>[3,7,1,2,6,4,5]
[6,1,3,2,5,4,7]=>[3,5,1,6,2,4,7]
[6,1,3,2,5,7,4]=>[3,7,1,6,2,5,4]
[6,1,3,2,7,4,5]=>[3,7,1,6,2,4,5]
[6,1,3,2,7,5,4]=>[3,5,1,7,6,2,4]
[6,1,3,4,2,5,7]=>[4,6,1,3,2,5,7]
[6,1,3,4,2,7,5]=>[4,7,1,3,6,2,5]
[6,1,3,4,5,2,7]=>[5,6,1,3,4,2,7]
[6,1,3,4,5,7,2]=>[7,6,1,3,4,5,2]
[6,1,3,4,7,2,5]=>[7,6,1,3,4,2,5]
[6,1,3,4,7,5,2]=>[5,7,1,3,6,4,2]
[6,1,3,5,2,4,7]=>[5,6,1,3,2,4,7]
[6,1,3,5,2,7,4]=>[7,5,1,6,3,2,4]
[6,1,3,5,4,2,7]=>[4,5,1,6,3,2,7]
[6,1,3,5,4,7,2]=>[7,5,1,6,3,4,2]
[6,1,3,5,7,2,4]=>[7,6,1,3,2,5,4]
[6,1,3,5,7,4,2]=>[4,7,1,6,3,5,2]
[6,1,3,7,2,4,5]=>[7,6,1,3,2,4,5]
[6,1,3,7,2,5,4]=>[5,7,1,6,3,2,4]
[6,1,3,7,4,2,5]=>[4,7,1,6,3,2,5]
[6,1,3,7,4,5,2]=>[5,7,1,6,3,4,2]
[6,1,3,7,5,2,4]=>[5,7,1,3,6,2,4]
[6,1,3,7,5,4,2]=>[4,5,1,7,6,3,2]
[6,1,4,2,3,5,7]=>[4,6,1,2,3,5,7]
[6,1,4,2,3,7,5]=>[4,7,1,2,6,3,5]
[6,1,4,2,5,3,7]=>[5,4,6,1,2,3,7]
[6,1,4,2,5,7,3]=>[7,4,6,1,2,5,3]
[6,1,4,2,7,3,5]=>[7,4,6,1,2,3,5]
[6,1,4,2,7,5,3]=>[5,4,7,1,6,2,3]
[6,1,4,3,2,5,7]=>[3,4,6,1,2,5,7]
[6,1,4,3,2,7,5]=>[3,4,7,1,6,2,5]
[6,1,4,3,5,2,7]=>[5,4,6,1,3,2,7]
[6,1,4,3,5,7,2]=>[7,4,6,1,3,5,2]
[6,1,4,3,7,2,5]=>[7,4,6,1,3,2,5]
[6,1,4,3,7,5,2]=>[5,4,7,1,6,3,2]
[6,1,4,5,2,3,7]=>[5,6,1,2,4,3,7]
[6,1,4,5,2,7,3]=>[7,5,6,1,4,2,3]
[6,1,4,5,3,2,7]=>[3,5,6,1,4,2,7]
[6,1,4,5,3,7,2]=>[7,5,6,1,4,3,2]
[6,1,4,5,7,2,3]=>[7,6,1,2,4,5,3]
[6,1,4,5,7,3,2]=>[3,7,6,1,4,5,2]
[6,1,4,7,2,3,5]=>[7,6,1,2,4,3,5]
[6,1,4,7,2,5,3]=>[5,7,6,1,4,2,3]
[6,1,4,7,3,2,5]=>[3,7,6,1,4,2,5]
[6,1,4,7,3,5,2]=>[5,7,6,1,4,3,2]
[6,1,4,7,5,2,3]=>[5,7,1,2,6,4,3]
[6,1,4,7,5,3,2]=>[3,5,7,1,6,4,2]
[6,1,5,2,3,4,7]=>[5,6,1,2,3,4,7]
[6,1,5,2,3,7,4]=>[7,5,1,6,2,3,4]
[6,1,5,2,4,3,7]=>[4,5,6,1,2,3,7]
[6,1,5,2,4,7,3]=>[7,5,6,1,2,4,3]
[6,1,5,2,7,3,4]=>[7,5,6,1,2,3,4]
[6,1,5,2,7,4,3]=>[4,7,5,6,1,2,3]
[6,1,5,3,2,4,7]=>[3,5,6,1,2,4,7]
[6,1,5,3,2,7,4]=>[3,7,5,6,1,2,4]
[6,1,5,3,4,2,7]=>[4,5,6,1,3,2,7]
[6,1,5,3,4,7,2]=>[7,5,6,1,3,4,2]
[6,1,5,3,7,2,4]=>[7,5,6,1,3,2,4]
[6,1,5,3,7,4,2]=>[4,7,5,6,1,3,2]
[6,1,5,4,2,3,7]=>[4,5,1,6,2,3,7]
[6,1,5,4,2,7,3]=>[7,4,5,6,1,2,3]
[6,1,5,4,3,2,7]=>[3,4,5,6,1,2,7]
[6,1,5,4,3,7,2]=>[7,4,5,6,1,3,2]
[6,1,5,4,7,2,3]=>[7,5,1,6,2,4,3]
[6,1,5,4,7,3,2]=>[3,7,5,6,1,4,2]
[6,1,5,7,2,3,4]=>[7,6,1,2,3,5,4]
[6,1,5,7,2,4,3]=>[4,7,6,1,2,5,3]
[6,1,5,7,3,2,4]=>[3,7,6,1,2,5,4]
[6,1,5,7,3,4,2]=>[4,7,6,1,3,5,2]
[6,1,5,7,4,2,3]=>[4,7,1,6,2,5,3]
[6,1,5,7,4,3,2]=>[3,4,7,6,1,5,2]
[6,1,7,2,3,4,5]=>[7,6,1,2,3,4,5]
[6,1,7,2,3,5,4]=>[5,7,1,6,2,3,4]
[6,1,7,2,4,3,5]=>[4,7,6,1,2,3,5]
[6,1,7,2,4,5,3]=>[5,7,6,1,2,4,3]
[6,1,7,2,5,3,4]=>[5,7,6,1,2,3,4]
[6,1,7,2,5,4,3]=>[4,5,7,6,1,2,3]
[6,1,7,3,2,4,5]=>[3,7,6,1,2,4,5]
[6,1,7,3,2,5,4]=>[3,5,7,6,1,2,4]
[6,1,7,3,4,2,5]=>[4,7,6,1,3,2,5]
[6,1,7,3,4,5,2]=>[5,7,6,1,3,4,2]
[6,1,7,3,5,2,4]=>[5,7,6,1,3,2,4]
[6,1,7,3,5,4,2]=>[4,5,7,6,1,3,2]
[6,1,7,4,2,3,5]=>[4,7,1,6,2,3,5]
[6,1,7,4,2,5,3]=>[5,4,7,6,1,2,3]
[6,1,7,4,3,2,5]=>[3,4,7,6,1,2,5]
[6,1,7,4,3,5,2]=>[5,4,7,6,1,3,2]
[6,1,7,4,5,2,3]=>[5,7,1,6,2,4,3]
[6,1,7,4,5,3,2]=>[3,5,7,6,1,4,2]
[6,1,7,5,2,3,4]=>[5,7,1,2,6,3,4]
[6,1,7,5,2,4,3]=>[4,5,7,1,6,2,3]
[6,1,7,5,3,2,4]=>[3,5,7,1,6,2,4]
[6,1,7,5,3,4,2]=>[4,5,7,1,6,3,2]
[6,1,7,5,4,2,3]=>[4,5,1,7,6,2,3]
[6,1,7,5,4,3,2]=>[3,4,5,7,6,1,2]
[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[6,2,1,3,4,7,5]=>[2,7,1,3,6,4,5]
[6,2,1,3,5,4,7]=>[2,5,1,6,3,4,7]
[6,2,1,3,5,7,4]=>[2,7,1,6,3,5,4]
[6,2,1,3,7,4,5]=>[2,7,1,6,3,4,5]
[6,2,1,3,7,5,4]=>[2,5,1,7,6,3,4]
[6,2,1,4,3,5,7]=>[2,4,6,1,3,5,7]
[6,2,1,4,3,7,5]=>[2,4,7,1,6,3,5]
[6,2,1,4,5,3,7]=>[2,5,6,1,4,3,7]
[6,2,1,4,5,7,3]=>[2,7,6,1,4,5,3]
[6,2,1,4,7,3,5]=>[2,7,6,1,4,3,5]
[6,2,1,4,7,5,3]=>[2,5,7,1,6,4,3]
[6,2,1,5,3,4,7]=>[2,5,6,1,3,4,7]
[6,2,1,5,3,7,4]=>[2,7,5,6,1,3,4]
[6,2,1,5,4,3,7]=>[2,4,5,6,1,3,7]
[6,2,1,5,4,7,3]=>[2,7,5,6,1,4,3]
[6,2,1,5,7,3,4]=>[2,7,6,1,3,5,4]
[6,2,1,5,7,4,3]=>[2,4,7,6,1,5,3]
[6,2,1,7,3,4,5]=>[2,7,6,1,3,4,5]
[6,2,1,7,3,5,4]=>[2,5,7,6,1,3,4]
[6,2,1,7,4,3,5]=>[2,4,7,6,1,3,5]
[6,2,1,7,4,5,3]=>[2,5,7,6,1,4,3]
[6,2,1,7,5,3,4]=>[2,5,7,1,6,3,4]
[6,2,1,7,5,4,3]=>[2,4,5,7,6,1,3]
[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]
[6,2,3,1,4,7,5]=>[3,7,2,1,6,4,5]
[6,2,3,1,5,4,7]=>[3,5,2,6,1,4,7]
[6,2,3,1,5,7,4]=>[3,7,2,6,1,5,4]
[6,2,3,1,7,4,5]=>[3,7,2,6,1,4,5]
[6,2,3,1,7,5,4]=>[3,5,2,7,6,1,4]
[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]
[6,2,3,4,1,7,5]=>[4,7,2,3,6,1,5]
[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]
[6,2,3,4,7,1,5]=>[7,6,2,3,4,1,5]
[6,2,3,4,7,5,1]=>[5,7,2,3,6,4,1]
[6,2,3,5,1,4,7]=>[5,6,2,3,1,4,7]
[6,2,3,5,1,7,4]=>[7,5,2,6,3,1,4]
[6,2,3,5,4,1,7]=>[4,5,2,6,3,1,7]
[6,2,3,5,4,7,1]=>[7,5,2,6,3,4,1]
[6,2,3,5,7,1,4]=>[7,6,2,3,1,5,4]
[6,2,3,5,7,4,1]=>[4,7,2,6,3,5,1]
[6,2,3,7,1,4,5]=>[7,6,2,3,1,4,5]
[6,2,3,7,1,5,4]=>[5,7,2,6,3,1,4]
[6,2,3,7,4,1,5]=>[4,7,2,6,3,1,5]
[6,2,3,7,4,5,1]=>[5,7,2,6,3,4,1]
[6,2,3,7,5,1,4]=>[5,7,2,3,6,1,4]
[6,2,3,7,5,4,1]=>[4,5,2,7,6,3,1]
[6,2,4,1,3,5,7]=>[4,6,2,1,3,5,7]
[6,2,4,1,3,7,5]=>[4,7,2,1,6,3,5]
[6,2,4,1,5,3,7]=>[5,4,6,2,1,3,7]
[6,2,4,1,5,7,3]=>[7,4,6,2,1,5,3]
[6,2,4,1,7,3,5]=>[7,4,6,2,1,3,5]
[6,2,4,1,7,5,3]=>[5,4,7,2,6,1,3]
[6,2,4,3,1,5,7]=>[3,4,6,2,1,5,7]
[6,2,4,3,1,7,5]=>[3,4,7,2,6,1,5]
[6,2,4,3,5,1,7]=>[5,4,6,2,3,1,7]
[6,2,4,3,5,7,1]=>[7,4,6,2,3,5,1]
[6,2,4,3,7,1,5]=>[7,4,6,2,3,1,5]
[6,2,4,3,7,5,1]=>[5,4,7,2,6,3,1]
[6,2,4,5,1,3,7]=>[5,6,2,1,4,3,7]
[6,2,4,5,1,7,3]=>[7,5,6,2,4,1,3]
[6,2,4,5,3,1,7]=>[3,5,6,2,4,1,7]
[6,2,4,5,3,7,1]=>[7,5,6,2,4,3,1]
[6,2,4,5,7,1,3]=>[7,6,2,1,4,5,3]
[6,2,4,5,7,3,1]=>[3,7,6,2,4,5,1]
[6,2,4,7,1,3,5]=>[7,6,2,1,4,3,5]
[6,2,4,7,1,5,3]=>[5,7,6,2,4,1,3]
[6,2,4,7,3,1,5]=>[3,7,6,2,4,1,5]
[6,2,4,7,3,5,1]=>[5,7,6,2,4,3,1]
[6,2,4,7,5,1,3]=>[5,7,2,1,6,4,3]
[6,2,4,7,5,3,1]=>[3,5,7,2,6,4,1]
[6,2,5,1,3,4,7]=>[5,6,2,1,3,4,7]
[6,2,5,1,3,7,4]=>[7,5,2,6,1,3,4]
[6,2,5,1,4,3,7]=>[4,5,6,2,1,3,7]
[6,2,5,1,4,7,3]=>[7,5,6,2,1,4,3]
[6,2,5,1,7,3,4]=>[7,5,6,2,1,3,4]
[6,2,5,1,7,4,3]=>[4,7,5,6,2,1,3]
[6,2,5,3,1,4,7]=>[3,5,6,2,1,4,7]
[6,2,5,3,1,7,4]=>[3,7,5,6,2,1,4]
[6,2,5,3,4,1,7]=>[4,5,6,2,3,1,7]
[6,2,5,3,4,7,1]=>[7,5,6,2,3,4,1]
[6,2,5,3,7,1,4]=>[7,5,6,2,3,1,4]
[6,2,5,3,7,4,1]=>[4,7,5,6,2,3,1]
[6,2,5,4,1,3,7]=>[4,5,2,6,1,3,7]
[6,2,5,4,1,7,3]=>[7,4,5,6,2,1,3]
[6,2,5,4,3,1,7]=>[3,4,5,6,2,1,7]
[6,2,5,4,3,7,1]=>[7,4,5,6,2,3,1]
[6,2,5,4,7,1,3]=>[7,5,2,6,1,4,3]
[6,2,5,4,7,3,1]=>[3,7,5,6,2,4,1]
[6,2,5,7,1,3,4]=>[7,6,2,1,3,5,4]
[6,2,5,7,1,4,3]=>[4,7,6,2,1,5,3]
[6,2,5,7,3,1,4]=>[3,7,6,2,1,5,4]
[6,2,5,7,3,4,1]=>[4,7,6,2,3,5,1]
[6,2,5,7,4,1,3]=>[4,7,2,6,1,5,3]
[6,2,5,7,4,3,1]=>[3,4,7,6,2,5,1]
[6,2,7,1,3,4,5]=>[7,6,2,1,3,4,5]
[6,2,7,1,3,5,4]=>[5,7,2,6,1,3,4]
[6,2,7,1,4,3,5]=>[4,7,6,2,1,3,5]
[6,2,7,1,4,5,3]=>[5,7,6,2,1,4,3]
[6,2,7,1,5,3,4]=>[5,7,6,2,1,3,4]
[6,2,7,1,5,4,3]=>[4,5,7,6,2,1,3]
[6,2,7,3,1,4,5]=>[3,7,6,2,1,4,5]
[6,2,7,3,1,5,4]=>[3,5,7,6,2,1,4]
[6,2,7,3,4,1,5]=>[4,7,6,2,3,1,5]
[6,2,7,3,4,5,1]=>[5,7,6,2,3,4,1]
[6,2,7,3,5,1,4]=>[5,7,6,2,3,1,4]
[6,2,7,3,5,4,1]=>[4,5,7,6,2,3,1]
[6,2,7,4,1,3,5]=>[4,7,2,6,1,3,5]
[6,2,7,4,1,5,3]=>[5,4,7,6,2,1,3]
[6,2,7,4,3,1,5]=>[3,4,7,6,2,1,5]
[6,2,7,4,3,5,1]=>[5,4,7,6,2,3,1]
[6,2,7,4,5,1,3]=>[5,7,2,6,1,4,3]
[6,2,7,4,5,3,1]=>[3,5,7,6,2,4,1]
[6,2,7,5,1,3,4]=>[5,7,2,1,6,3,4]
[6,2,7,5,1,4,3]=>[4,5,7,2,6,1,3]
[6,2,7,5,3,1,4]=>[3,5,7,2,6,1,4]
[6,2,7,5,3,4,1]=>[4,5,7,2,6,3,1]
[6,2,7,5,4,1,3]=>[4,5,2,7,6,1,3]
[6,2,7,5,4,3,1]=>[3,4,5,7,6,2,1]
[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[6,3,1,2,4,7,5]=>[3,1,7,2,6,4,5]
[6,3,1,2,5,4,7]=>[3,1,5,6,2,4,7]
[6,3,1,2,5,7,4]=>[3,1,7,6,2,5,4]
[6,3,1,2,7,4,5]=>[3,1,7,6,2,4,5]
[6,3,1,2,7,5,4]=>[3,1,5,7,6,2,4]
[6,3,1,4,2,5,7]=>[4,3,6,1,2,5,7]
[6,3,1,4,2,7,5]=>[4,3,7,1,6,2,5]
[6,3,1,4,5,2,7]=>[5,3,6,1,4,2,7]
[6,3,1,4,5,7,2]=>[7,3,6,1,4,5,2]
[6,3,1,4,7,2,5]=>[7,3,6,1,4,2,5]
[6,3,1,4,7,5,2]=>[5,3,7,1,6,4,2]
[6,3,1,5,2,4,7]=>[5,3,6,1,2,4,7]
[6,3,1,5,2,7,4]=>[7,3,5,6,1,2,4]
[6,3,1,5,4,2,7]=>[4,3,5,6,1,2,7]
[6,3,1,5,4,7,2]=>[7,3,5,6,1,4,2]
[6,3,1,5,7,2,4]=>[7,3,6,1,2,5,4]
[6,3,1,5,7,4,2]=>[4,3,7,6,1,5,2]
[6,3,1,7,2,4,5]=>[7,3,6,1,2,4,5]
[6,3,1,7,2,5,4]=>[5,3,7,6,1,2,4]
[6,3,1,7,4,2,5]=>[4,3,7,6,1,2,5]
[6,3,1,7,4,5,2]=>[5,3,7,6,1,4,2]
[6,3,1,7,5,2,4]=>[5,3,7,1,6,2,4]
[6,3,1,7,5,4,2]=>[4,3,5,7,6,1,2]
[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]
[6,3,2,1,4,7,5]=>[2,3,7,1,6,4,5]
[6,3,2,1,5,4,7]=>[2,3,5,6,1,4,7]
[6,3,2,1,5,7,4]=>[2,3,7,6,1,5,4]
[6,3,2,1,7,4,5]=>[2,3,7,6,1,4,5]
[6,3,2,1,7,5,4]=>[2,3,5,7,6,1,4]
[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]
[6,3,2,4,1,7,5]=>[4,3,7,2,6,1,5]
[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]
[6,3,2,4,7,1,5]=>[7,3,6,2,4,1,5]
[6,3,2,4,7,5,1]=>[5,3,7,2,6,4,1]
[6,3,2,5,1,4,7]=>[5,3,6,2,1,4,7]
[6,3,2,5,1,7,4]=>[7,3,5,6,2,1,4]
[6,3,2,5,4,1,7]=>[4,3,5,6,2,1,7]
[6,3,2,5,4,7,1]=>[7,3,5,6,2,4,1]
[6,3,2,5,7,1,4]=>[7,3,6,2,1,5,4]
[6,3,2,5,7,4,1]=>[4,3,7,6,2,5,1]
[6,3,2,7,1,4,5]=>[7,3,6,2,1,4,5]
[6,3,2,7,1,5,4]=>[5,3,7,6,2,1,4]
[6,3,2,7,4,1,5]=>[4,3,7,6,2,1,5]
[6,3,2,7,4,5,1]=>[5,3,7,6,2,4,1]
[6,3,2,7,5,1,4]=>[5,3,7,2,6,1,4]
[6,3,2,7,5,4,1]=>[4,3,5,7,6,2,1]
[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[6,3,4,1,2,7,5]=>[4,1,7,3,6,2,5]
[6,3,4,1,5,2,7]=>[5,4,6,3,1,2,7]
[6,3,4,1,5,7,2]=>[7,4,6,3,1,5,2]
[6,3,4,1,7,2,5]=>[7,4,6,3,1,2,5]
[6,3,4,1,7,5,2]=>[5,4,7,3,6,1,2]
[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]
[6,3,4,2,1,7,5]=>[2,4,7,3,6,1,5]
[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]
[6,3,4,2,5,7,1]=>[7,4,6,3,2,5,1]
[6,3,4,2,7,1,5]=>[7,4,6,3,2,1,5]
[6,3,4,2,7,5,1]=>[5,4,7,3,6,2,1]
[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]
[6,3,4,5,1,7,2]=>[7,5,6,3,4,1,2]
[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]
[6,3,4,5,2,7,1]=>[7,5,6,3,4,2,1]
[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]
[6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]
[6,3,4,7,1,2,5]=>[7,1,6,3,4,2,5]
[6,3,4,7,1,5,2]=>[5,7,6,3,4,1,2]
[6,3,4,7,2,1,5]=>[2,7,6,3,4,1,5]
[6,3,4,7,2,5,1]=>[5,7,6,3,4,2,1]
[6,3,4,7,5,1,2]=>[5,1,7,3,6,4,2]
[6,3,4,7,5,2,1]=>[2,5,7,3,6,4,1]
[6,3,5,1,2,4,7]=>[5,1,6,3,2,4,7]
[6,3,5,1,2,7,4]=>[7,1,5,6,3,2,4]
[6,3,5,1,4,2,7]=>[4,5,6,3,1,2,7]
[6,3,5,1,4,7,2]=>[7,5,6,3,1,4,2]
[6,3,5,1,7,2,4]=>[7,5,6,3,1,2,4]
[6,3,5,1,7,4,2]=>[4,7,5,6,3,1,2]
[6,3,5,2,1,4,7]=>[2,5,6,3,1,4,7]
[6,3,5,2,1,7,4]=>[2,7,5,6,3,1,4]
[6,3,5,2,4,1,7]=>[4,5,6,3,2,1,7]
[6,3,5,2,4,7,1]=>[7,5,6,3,2,4,1]
[6,3,5,2,7,1,4]=>[7,5,6,3,2,1,4]
[6,3,5,2,7,4,1]=>[4,7,5,6,3,2,1]
[6,3,5,4,1,2,7]=>[4,1,5,6,3,2,7]
[6,3,5,4,1,7,2]=>[7,4,5,6,3,1,2]
[6,3,5,4,2,1,7]=>[2,4,5,6,3,1,7]
[6,3,5,4,2,7,1]=>[7,4,5,6,3,2,1]
[6,3,5,4,7,1,2]=>[7,1,5,6,3,4,2]
[6,3,5,4,7,2,1]=>[2,7,5,6,3,4,1]
[6,3,5,7,1,2,4]=>[7,1,6,3,2,5,4]
[6,3,5,7,1,4,2]=>[4,7,6,3,1,5,2]
[6,3,5,7,2,1,4]=>[2,7,6,3,1,5,4]
[6,3,5,7,2,4,1]=>[4,7,6,3,2,5,1]
[6,3,5,7,4,1,2]=>[4,1,7,6,3,5,2]
[6,3,5,7,4,2,1]=>[2,4,7,6,3,5,1]
[6,3,7,1,2,4,5]=>[7,1,6,3,2,4,5]
[6,3,7,1,2,5,4]=>[5,1,7,6,3,2,4]
[6,3,7,1,4,2,5]=>[4,7,6,3,1,2,5]
[6,3,7,1,4,5,2]=>[5,7,6,3,1,4,2]
[6,3,7,1,5,2,4]=>[5,7,6,3,1,2,4]
[6,3,7,1,5,4,2]=>[4,5,7,6,3,1,2]
[6,3,7,2,1,4,5]=>[2,7,6,3,1,4,5]
[6,3,7,2,1,5,4]=>[2,5,7,6,3,1,4]
[6,3,7,2,4,1,5]=>[4,7,6,3,2,1,5]
[6,3,7,2,4,5,1]=>[5,7,6,3,2,4,1]
[6,3,7,2,5,1,4]=>[5,7,6,3,2,1,4]
[6,3,7,2,5,4,1]=>[4,5,7,6,3,2,1]
[6,3,7,4,1,2,5]=>[4,1,7,6,3,2,5]
[6,3,7,4,1,5,2]=>[5,4,7,6,3,1,2]
[6,3,7,4,2,1,5]=>[2,4,7,6,3,1,5]
[6,3,7,4,2,5,1]=>[5,4,7,6,3,2,1]
[6,3,7,4,5,1,2]=>[5,1,7,6,3,4,2]
[6,3,7,4,5,2,1]=>[2,5,7,6,3,4,1]
[6,3,7,5,1,2,4]=>[5,1,7,3,6,2,4]
[6,3,7,5,1,4,2]=>[4,5,7,3,6,1,2]
[6,3,7,5,2,1,4]=>[2,5,7,3,6,1,4]
[6,3,7,5,2,4,1]=>[4,5,7,3,6,2,1]
[6,3,7,5,4,1,2]=>[4,1,5,7,6,3,2]
[6,3,7,5,4,2,1]=>[2,4,5,7,6,3,1]
[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[6,4,1,2,3,7,5]=>[4,1,2,7,6,3,5]
[6,4,1,2,5,3,7]=>[5,1,4,6,2,3,7]
[6,4,1,2,5,7,3]=>[7,1,4,6,2,5,3]
[6,4,1,2,7,3,5]=>[7,1,4,6,2,3,5]
[6,4,1,2,7,5,3]=>[5,1,4,7,6,2,3]
[6,4,1,3,2,5,7]=>[3,4,1,6,2,5,7]
[6,4,1,3,2,7,5]=>[3,4,1,7,6,2,5]
[6,4,1,3,5,2,7]=>[5,4,1,6,3,2,7]
[6,4,1,3,5,7,2]=>[7,4,1,6,3,5,2]
[6,4,1,3,7,2,5]=>[7,4,1,6,3,2,5]
[6,4,1,3,7,5,2]=>[5,4,1,7,6,3,2]
[6,4,1,5,2,3,7]=>[5,4,1,6,2,3,7]
[6,4,1,5,2,7,3]=>[7,5,4,6,1,2,3]
[6,4,1,5,3,2,7]=>[3,5,4,6,1,2,7]
[6,4,1,5,3,7,2]=>[7,5,4,6,1,3,2]
[6,4,1,5,7,2,3]=>[7,4,1,6,2,5,3]
[6,4,1,5,7,3,2]=>[3,7,4,6,1,5,2]
[6,4,1,7,2,3,5]=>[7,4,1,6,2,3,5]
[6,4,1,7,2,5,3]=>[5,7,4,6,1,2,3]
[6,4,1,7,3,2,5]=>[3,7,4,6,1,2,5]
[6,4,1,7,3,5,2]=>[5,7,4,6,1,3,2]
[6,4,1,7,5,2,3]=>[5,4,1,7,6,2,3]
[6,4,1,7,5,3,2]=>[3,5,4,7,6,1,2]
[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[6,4,2,1,3,7,5]=>[2,4,1,7,6,3,5]
[6,4,2,1,5,3,7]=>[2,5,4,6,1,3,7]
[6,4,2,1,5,7,3]=>[2,7,4,6,1,5,3]
[6,4,2,1,7,3,5]=>[2,7,4,6,1,3,5]
[6,4,2,1,7,5,3]=>[2,5,4,7,6,1,3]
[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]
[6,4,2,3,1,7,5]=>[3,4,2,7,6,1,5]
[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]
[6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]
[6,4,2,3,7,1,5]=>[7,4,2,6,3,1,5]
[6,4,2,3,7,5,1]=>[5,4,2,7,6,3,1]
[6,4,2,5,1,3,7]=>[5,4,2,6,1,3,7]
[6,4,2,5,1,7,3]=>[7,5,4,6,2,1,3]
[6,4,2,5,3,1,7]=>[3,5,4,6,2,1,7]
[6,4,2,5,3,7,1]=>[7,5,4,6,2,3,1]
[6,4,2,5,7,1,3]=>[7,4,2,6,1,5,3]
[6,4,2,5,7,3,1]=>[3,7,4,6,2,5,1]
[6,4,2,7,1,3,5]=>[7,4,2,6,1,3,5]
[6,4,2,7,1,5,3]=>[5,7,4,6,2,1,3]
[6,4,2,7,3,1,5]=>[3,7,4,6,2,1,5]
[6,4,2,7,3,5,1]=>[5,7,4,6,2,3,1]
[6,4,2,7,5,1,3]=>[5,4,2,7,6,1,3]
[6,4,2,7,5,3,1]=>[3,5,4,7,6,2,1]
[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]
[6,4,3,1,2,7,5]=>[3,1,4,7,6,2,5]
[6,4,3,1,5,2,7]=>[5,3,4,6,1,2,7]
[6,4,3,1,5,7,2]=>[7,3,4,6,1,5,2]
[6,4,3,1,7,2,5]=>[7,3,4,6,1,2,5]
[6,4,3,1,7,5,2]=>[5,3,4,7,6,1,2]
[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]
[6,4,3,2,1,7,5]=>[2,3,4,7,6,1,5]
[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]
[6,4,3,2,7,1,5]=>[7,3,4,6,2,1,5]
[6,4,3,2,7,5,1]=>[5,3,4,7,6,2,1]
[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]
[6,4,3,5,1,7,2]=>[7,5,4,6,3,1,2]
[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]
[6,4,3,5,2,7,1]=>[7,5,4,6,3,2,1]
[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]
[6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]
[6,4,3,7,1,2,5]=>[7,1,4,6,3,2,5]
[6,4,3,7,1,5,2]=>[5,7,4,6,3,1,2]
[6,4,3,7,2,1,5]=>[2,7,4,6,3,1,5]
[6,4,3,7,2,5,1]=>[5,7,4,6,3,2,1]
[6,4,3,7,5,1,2]=>[5,1,4,7,6,3,2]
[6,4,3,7,5,2,1]=>[2,5,4,7,6,3,1]
[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]
[6,4,5,1,2,7,3]=>[7,1,5,6,4,2,3]
[6,4,5,1,3,2,7]=>[3,5,1,6,4,2,7]
[6,4,5,1,3,7,2]=>[7,5,1,6,4,3,2]
[6,4,5,1,7,2,3]=>[7,5,1,6,4,2,3]
[6,4,5,1,7,3,2]=>[3,7,5,6,4,1,2]
[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]
[6,4,5,2,1,7,3]=>[2,7,5,6,4,1,3]
[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]
[6,4,5,2,3,7,1]=>[7,5,2,6,4,3,1]
[6,4,5,2,7,1,3]=>[7,5,2,6,4,1,3]
[6,4,5,2,7,3,1]=>[3,7,5,6,4,2,1]
[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]
[6,4,5,3,1,7,2]=>[7,3,5,6,4,1,2]
[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]
[6,4,5,3,2,7,1]=>[7,3,5,6,4,2,1]
[6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]
[6,4,5,3,7,2,1]=>[2,7,5,6,4,3,1]
[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]
[6,4,5,7,1,3,2]=>[3,7,1,6,4,5,2]
[6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]
[6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1]
[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]
[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]
[6,4,7,1,2,3,5]=>[7,1,2,6,4,3,5]
[6,4,7,1,2,5,3]=>[5,1,7,6,4,2,3]
[6,4,7,1,3,2,5]=>[3,7,1,6,4,2,5]
[6,4,7,1,3,5,2]=>[5,7,1,6,4,3,2]
[6,4,7,1,5,2,3]=>[5,7,1,6,4,2,3]
[6,4,7,1,5,3,2]=>[3,5,7,6,4,1,2]
[6,4,7,2,1,3,5]=>[2,7,1,6,4,3,5]
[6,4,7,2,1,5,3]=>[2,5,7,6,4,1,3]
[6,4,7,2,3,1,5]=>[3,7,2,6,4,1,5]
[6,4,7,2,3,5,1]=>[5,7,2,6,4,3,1]
[6,4,7,2,5,1,3]=>[5,7,2,6,4,1,3]
[6,4,7,2,5,3,1]=>[3,5,7,6,4,2,1]
[6,4,7,3,1,2,5]=>[3,1,7,6,4,2,5]
[6,4,7,3,1,5,2]=>[5,3,7,6,4,1,2]
[6,4,7,3,2,1,5]=>[2,3,7,6,4,1,5]
[6,4,7,3,2,5,1]=>[5,3,7,6,4,2,1]
[6,4,7,3,5,1,2]=>[5,1,7,6,4,3,2]
[6,4,7,3,5,2,1]=>[2,5,7,6,4,3,1]
[6,4,7,5,1,2,3]=>[5,1,2,7,6,4,3]
[6,4,7,5,1,3,2]=>[3,5,1,7,6,4,2]
[6,4,7,5,2,1,3]=>[2,5,1,7,6,4,3]
[6,4,7,5,2,3,1]=>[3,5,2,7,6,4,1]
[6,4,7,5,3,1,2]=>[3,1,5,7,6,4,2]
[6,4,7,5,3,2,1]=>[2,3,5,7,6,4,1]
[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[6,5,1,2,3,7,4]=>[7,1,2,5,6,3,4]
[6,5,1,2,4,3,7]=>[4,1,5,2,6,3,7]
[6,5,1,2,4,7,3]=>[7,1,5,2,6,4,3]
[6,5,1,2,7,3,4]=>[7,1,5,2,6,3,4]
[6,5,1,2,7,4,3]=>[4,1,7,5,6,2,3]
[6,5,1,3,2,4,7]=>[3,5,1,2,6,4,7]
[6,5,1,3,2,7,4]=>[3,7,1,5,6,2,4]
[6,5,1,3,4,2,7]=>[4,5,1,3,6,2,7]
[6,5,1,3,4,7,2]=>[7,5,1,3,6,4,2]
[6,5,1,3,7,2,4]=>[7,5,1,3,6,2,4]
[6,5,1,3,7,4,2]=>[4,7,1,5,6,3,2]
[6,5,1,4,2,3,7]=>[4,5,1,2,6,3,7]
[6,5,1,4,2,7,3]=>[7,4,5,1,6,2,3]
[6,5,1,4,3,2,7]=>[3,4,5,1,6,2,7]
[6,5,1,4,3,7,2]=>[7,4,5,1,6,3,2]
[6,5,1,4,7,2,3]=>[7,5,1,2,6,4,3]
[6,5,1,4,7,3,2]=>[3,7,5,1,6,4,2]
[6,5,1,7,2,3,4]=>[7,5,1,2,6,3,4]
[6,5,1,7,2,4,3]=>[4,7,5,1,6,2,3]
[6,5,1,7,3,2,4]=>[3,7,5,1,6,2,4]
[6,5,1,7,3,4,2]=>[4,7,5,1,6,3,2]
[6,5,1,7,4,2,3]=>[4,7,1,5,6,2,3]
[6,5,1,7,4,3,2]=>[3,4,7,5,6,1,2]
[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]
[6,5,2,1,3,7,4]=>[2,7,1,5,6,3,4]
[6,5,2,1,4,3,7]=>[2,4,5,1,6,3,7]
[6,5,2,1,4,7,3]=>[2,7,5,1,6,4,3]
[6,5,2,1,7,3,4]=>[2,7,5,1,6,3,4]
[6,5,2,1,7,4,3]=>[2,4,7,5,6,1,3]
[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]
[6,5,2,3,1,7,4]=>[3,7,2,5,6,1,4]
[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]
[6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]
[6,5,2,3,7,1,4]=>[7,5,2,3,6,1,4]
[6,5,2,3,7,4,1]=>[4,7,2,5,6,3,1]
[6,5,2,4,1,3,7]=>[4,5,2,1,6,3,7]
[6,5,2,4,1,7,3]=>[7,4,5,2,6,1,3]
[6,5,2,4,3,1,7]=>[3,4,5,2,6,1,7]
[6,5,2,4,3,7,1]=>[7,4,5,2,6,3,1]
[6,5,2,4,7,1,3]=>[7,5,2,1,6,4,3]
[6,5,2,4,7,3,1]=>[3,7,5,2,6,4,1]
[6,5,2,7,1,3,4]=>[7,5,2,1,6,3,4]
[6,5,2,7,1,4,3]=>[4,7,5,2,6,1,3]
[6,5,2,7,3,1,4]=>[3,7,5,2,6,1,4]
[6,5,2,7,3,4,1]=>[4,7,5,2,6,3,1]
[6,5,2,7,4,1,3]=>[4,7,2,5,6,1,3]
[6,5,2,7,4,3,1]=>[3,4,7,5,6,2,1]
[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]
[6,5,3,1,2,7,4]=>[3,1,7,5,6,2,4]
[6,5,3,1,4,2,7]=>[4,3,5,1,6,2,7]
[6,5,3,1,4,7,2]=>[7,3,5,1,6,4,2]
[6,5,3,1,7,2,4]=>[7,3,5,1,6,2,4]
[6,5,3,1,7,4,2]=>[4,3,7,5,6,1,2]
[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]
[6,5,3,2,1,7,4]=>[2,3,7,5,6,1,4]
[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]
[6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]
[6,5,3,2,7,1,4]=>[7,3,5,2,6,1,4]
[6,5,3,2,7,4,1]=>[4,3,7,5,6,2,1]
[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]
[6,5,3,4,1,7,2]=>[7,4,5,3,6,1,2]
[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[6,5,3,4,2,7,1]=>[7,4,5,3,6,2,1]
[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]
[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]
[6,5,3,7,1,2,4]=>[7,1,5,3,6,2,4]
[6,5,3,7,1,4,2]=>[4,7,5,3,6,1,2]
[6,5,3,7,2,1,4]=>[2,7,5,3,6,1,4]
[6,5,3,7,2,4,1]=>[4,7,5,3,6,2,1]
[6,5,3,7,4,1,2]=>[4,1,7,5,6,3,2]
[6,5,3,7,4,2,1]=>[2,4,7,5,6,3,1]
[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]
[6,5,4,1,2,7,3]=>[7,1,4,5,6,2,3]
[6,5,4,1,3,2,7]=>[3,4,1,5,6,2,7]
[6,5,4,1,3,7,2]=>[7,4,1,5,6,3,2]
[6,5,4,1,7,2,3]=>[7,4,1,5,6,2,3]
[6,5,4,1,7,3,2]=>[3,7,4,5,6,1,2]
[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]
[6,5,4,2,1,7,3]=>[2,7,4,5,6,1,3]
[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]
[6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]
[6,5,4,2,7,1,3]=>[7,4,2,5,6,1,3]
[6,5,4,2,7,3,1]=>[3,7,4,5,6,2,1]
[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]
[6,5,4,3,1,7,2]=>[7,3,4,5,6,1,2]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]
[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]
[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]
[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]
[6,5,4,7,1,3,2]=>[3,7,1,5,6,4,2]
[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]
[6,5,4,7,2,3,1]=>[3,7,2,5,6,4,1]
[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]
[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]
[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]
[6,5,7,1,2,4,3]=>[4,1,7,2,6,5,3]
[6,5,7,1,3,2,4]=>[3,7,1,2,6,5,4]
[6,5,7,1,3,4,2]=>[4,7,1,3,6,5,2]
[6,5,7,1,4,2,3]=>[4,7,1,2,6,5,3]
[6,5,7,1,4,3,2]=>[3,4,7,1,6,5,2]
[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]
[6,5,7,2,1,4,3]=>[2,4,7,1,6,5,3]
[6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]
[6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1]
[6,5,7,2,4,1,3]=>[4,7,2,1,6,5,3]
[6,5,7,2,4,3,1]=>[3,4,7,2,6,5,1]
[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]
[6,5,7,3,1,4,2]=>[4,3,7,1,6,5,2]
[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]
[6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1]
[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]
[6,5,7,3,4,2,1]=>[2,4,7,3,6,5,1]
[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]
[6,5,7,4,1,3,2]=>[3,4,1,7,6,5,2]
[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]
[6,5,7,4,2,3,1]=>[3,4,2,7,6,5,1]
[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]
[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]
[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[6,7,1,2,3,5,4]=>[5,1,2,7,3,6,4]
[6,7,1,2,4,3,5]=>[4,1,7,2,3,6,5]
[6,7,1,2,4,5,3]=>[5,1,7,2,4,6,3]
[6,7,1,2,5,3,4]=>[5,1,7,2,3,6,4]
[6,7,1,2,5,4,3]=>[4,1,5,7,2,6,3]
[6,7,1,3,2,4,5]=>[3,7,1,2,4,6,5]
[6,7,1,3,2,5,4]=>[3,5,1,7,2,6,4]
[6,7,1,3,4,2,5]=>[4,7,1,3,2,6,5]
[6,7,1,3,4,5,2]=>[5,7,1,3,4,6,2]
[6,7,1,3,5,2,4]=>[5,7,1,3,2,6,4]
[6,7,1,3,5,4,2]=>[4,5,1,7,3,6,2]
[6,7,1,4,2,3,5]=>[4,7,1,2,3,6,5]
[6,7,1,4,2,5,3]=>[5,4,7,1,2,6,3]
[6,7,1,4,3,2,5]=>[3,4,7,1,2,6,5]
[6,7,1,4,3,5,2]=>[5,4,7,1,3,6,2]
[6,7,1,4,5,2,3]=>[5,7,1,2,4,6,3]
[6,7,1,4,5,3,2]=>[3,5,7,1,4,6,2]
[6,7,1,5,2,3,4]=>[5,7,1,2,3,6,4]
[6,7,1,5,2,4,3]=>[4,5,7,1,2,6,3]
[6,7,1,5,3,2,4]=>[3,5,7,1,2,6,4]
[6,7,1,5,3,4,2]=>[4,5,7,1,3,6,2]
[6,7,1,5,4,2,3]=>[4,5,1,7,2,6,3]
[6,7,1,5,4,3,2]=>[3,4,5,7,1,6,2]
[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]
[6,7,2,1,3,5,4]=>[2,5,1,7,3,6,4]
[6,7,2,1,4,3,5]=>[2,4,7,1,3,6,5]
[6,7,2,1,4,5,3]=>[2,5,7,1,4,6,3]
[6,7,2,1,5,3,4]=>[2,5,7,1,3,6,4]
[6,7,2,1,5,4,3]=>[2,4,5,7,1,6,3]
[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]
[6,7,2,3,1,5,4]=>[3,5,2,7,1,6,4]
[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]
[6,7,2,3,4,5,1]=>[5,7,2,3,4,6,1]
[6,7,2,3,5,1,4]=>[5,7,2,3,1,6,4]
[6,7,2,3,5,4,1]=>[4,5,2,7,3,6,1]
[6,7,2,4,1,3,5]=>[4,7,2,1,3,6,5]
[6,7,2,4,1,5,3]=>[5,4,7,2,1,6,3]
[6,7,2,4,3,1,5]=>[3,4,7,2,1,6,5]
[6,7,2,4,3,5,1]=>[5,4,7,2,3,6,1]
[6,7,2,4,5,1,3]=>[5,7,2,1,4,6,3]
[6,7,2,4,5,3,1]=>[3,5,7,2,4,6,1]
[6,7,2,5,1,3,4]=>[5,7,2,1,3,6,4]
[6,7,2,5,1,4,3]=>[4,5,7,2,1,6,3]
[6,7,2,5,3,1,4]=>[3,5,7,2,1,6,4]
[6,7,2,5,3,4,1]=>[4,5,7,2,3,6,1]
[6,7,2,5,4,1,3]=>[4,5,2,7,1,6,3]
[6,7,2,5,4,3,1]=>[3,4,5,7,2,6,1]
[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]
[6,7,3,1,2,5,4]=>[3,1,5,7,2,6,4]
[6,7,3,1,4,2,5]=>[4,3,7,1,2,6,5]
[6,7,3,1,4,5,2]=>[5,3,7,1,4,6,2]
[6,7,3,1,5,2,4]=>[5,3,7,1,2,6,4]
[6,7,3,1,5,4,2]=>[4,3,5,7,1,6,2]
[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]
[6,7,3,2,1,5,4]=>[2,3,5,7,1,6,4]
[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]
[6,7,3,2,4,5,1]=>[5,3,7,2,4,6,1]
[6,7,3,2,5,1,4]=>[5,3,7,2,1,6,4]
[6,7,3,2,5,4,1]=>[4,3,5,7,2,6,1]
[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]
[6,7,3,4,1,5,2]=>[5,4,7,3,1,6,2]
[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]
[6,7,3,4,2,5,1]=>[5,4,7,3,2,6,1]
[6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]
[6,7,3,4,5,2,1]=>[2,5,7,3,4,6,1]
[6,7,3,5,1,2,4]=>[5,1,7,3,2,6,4]
[6,7,3,5,1,4,2]=>[4,5,7,3,1,6,2]
[6,7,3,5,2,1,4]=>[2,5,7,3,1,6,4]
[6,7,3,5,2,4,1]=>[4,5,7,3,2,6,1]
[6,7,3,5,4,1,2]=>[4,1,5,7,3,6,2]
[6,7,3,5,4,2,1]=>[2,4,5,7,3,6,1]
[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]
[6,7,4,1,2,5,3]=>[5,1,4,7,2,6,3]
[6,7,4,1,3,2,5]=>[3,4,1,7,2,6,5]
[6,7,4,1,3,5,2]=>[5,4,1,7,3,6,2]
[6,7,4,1,5,2,3]=>[5,4,1,7,2,6,3]
[6,7,4,1,5,3,2]=>[3,5,4,7,1,6,2]
[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]
[6,7,4,2,1,5,3]=>[2,5,4,7,1,6,3]
[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]
[6,7,4,2,3,5,1]=>[5,4,2,7,3,6,1]
[6,7,4,2,5,1,3]=>[5,4,2,7,1,6,3]
[6,7,4,2,5,3,1]=>[3,5,4,7,2,6,1]
[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]
[6,7,4,3,1,5,2]=>[5,3,4,7,1,6,2]
[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]
[6,7,4,3,2,5,1]=>[5,3,4,7,2,6,1]
[6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]
[6,7,4,3,5,2,1]=>[2,5,4,7,3,6,1]
[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]
[6,7,4,5,1,3,2]=>[3,5,1,7,4,6,2]
[6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]
[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1]
[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]
[6,7,4,5,3,2,1]=>[2,3,5,7,4,6,1]
[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]
[6,7,5,1,2,4,3]=>[4,1,5,2,7,6,3]
[6,7,5,1,3,2,4]=>[3,5,1,2,7,6,4]
[6,7,5,1,3,4,2]=>[4,5,1,3,7,6,2]
[6,7,5,1,4,2,3]=>[4,5,1,2,7,6,3]
[6,7,5,1,4,3,2]=>[3,4,5,1,7,6,2]
[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]
[6,7,5,2,1,4,3]=>[2,4,5,1,7,6,3]
[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]
[6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1]
[6,7,5,2,4,1,3]=>[4,5,2,1,7,6,3]
[6,7,5,2,4,3,1]=>[3,4,5,2,7,6,1]
[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]
[6,7,5,3,1,4,2]=>[4,3,5,1,7,6,2]
[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]
[6,7,5,3,2,4,1]=>[4,3,5,2,7,6,1]
[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]
[6,7,5,3,4,2,1]=>[2,4,5,3,7,6,1]
[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]
[6,7,5,4,1,3,2]=>[3,4,1,5,7,6,2]
[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]
[6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1]
[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]
[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[7,1,2,3,4,6,5]=>[6,1,2,3,7,4,5]
[7,1,2,3,5,4,6]=>[5,1,2,7,3,4,6]
[7,1,2,3,5,6,4]=>[6,1,2,7,3,5,4]
[7,1,2,3,6,4,5]=>[6,1,2,7,3,4,5]
[7,1,2,3,6,5,4]=>[5,1,2,6,7,3,4]
[7,1,2,4,3,5,6]=>[4,1,7,2,3,5,6]
[7,1,2,4,3,6,5]=>[4,1,6,2,7,3,5]
[7,1,2,4,5,3,6]=>[5,1,7,2,4,3,6]
[7,1,2,4,5,6,3]=>[6,1,7,2,4,5,3]
[7,1,2,4,6,3,5]=>[6,1,7,2,4,3,5]
[7,1,2,4,6,5,3]=>[5,1,6,2,7,4,3]
[7,1,2,5,3,4,6]=>[5,1,7,2,3,4,6]
[7,1,2,5,3,6,4]=>[6,1,5,7,2,3,4]
[7,1,2,5,4,3,6]=>[4,1,5,7,2,3,6]
[7,1,2,5,4,6,3]=>[6,1,5,7,2,4,3]
[7,1,2,5,6,3,4]=>[6,1,7,2,3,5,4]
[7,1,2,5,6,4,3]=>[4,1,6,7,2,5,3]
[7,1,2,6,3,4,5]=>[6,1,7,2,3,4,5]
[7,1,2,6,3,5,4]=>[5,1,6,7,2,3,4]
[7,1,2,6,4,3,5]=>[4,1,6,7,2,3,5]
[7,1,2,6,4,5,3]=>[5,1,6,7,2,4,3]
[7,1,2,6,5,3,4]=>[5,1,6,2,7,3,4]
[7,1,2,6,5,4,3]=>[4,1,5,6,7,2,3]
[7,1,3,2,4,5,6]=>[3,7,1,2,4,5,6]
[7,1,3,2,4,6,5]=>[3,6,1,2,7,4,5]
[7,1,3,2,5,4,6]=>[3,5,1,7,2,4,6]
[7,1,3,2,5,6,4]=>[3,6,1,7,2,5,4]
[7,1,3,2,6,4,5]=>[3,6,1,7,2,4,5]
[7,1,3,2,6,5,4]=>[3,5,1,6,7,2,4]
[7,1,3,4,2,5,6]=>[4,7,1,3,2,5,6]
[7,1,3,4,2,6,5]=>[4,6,1,3,7,2,5]
[7,1,3,4,5,2,6]=>[5,7,1,3,4,2,6]
[7,1,3,4,5,6,2]=>[6,7,1,3,4,5,2]
[7,1,3,4,6,2,5]=>[6,7,1,3,4,2,5]
[7,1,3,4,6,5,2]=>[5,6,1,3,7,4,2]
[7,1,3,5,2,4,6]=>[5,7,1,3,2,4,6]
[7,1,3,5,2,6,4]=>[6,5,1,7,3,2,4]
[7,1,3,5,4,2,6]=>[4,5,1,7,3,2,6]
[7,1,3,5,4,6,2]=>[6,5,1,7,3,4,2]
[7,1,3,5,6,2,4]=>[6,7,1,3,2,5,4]
[7,1,3,5,6,4,2]=>[4,6,1,7,3,5,2]
[7,1,3,6,2,4,5]=>[6,7,1,3,2,4,5]
[7,1,3,6,2,5,4]=>[5,6,1,7,3,2,4]
[7,1,3,6,4,2,5]=>[4,6,1,7,3,2,5]
[7,1,3,6,4,5,2]=>[5,6,1,7,3,4,2]
[7,1,3,6,5,2,4]=>[5,6,1,3,7,2,4]
[7,1,3,6,5,4,2]=>[4,5,1,6,7,3,2]
[7,1,4,2,3,5,6]=>[4,7,1,2,3,5,6]
[7,1,4,2,3,6,5]=>[4,6,1,2,7,3,5]
[7,1,4,2,5,3,6]=>[5,4,7,1,2,3,6]
[7,1,4,2,5,6,3]=>[6,4,7,1,2,5,3]
[7,1,4,2,6,3,5]=>[6,4,7,1,2,3,5]
[7,1,4,2,6,5,3]=>[5,4,6,1,7,2,3]
[7,1,4,3,2,5,6]=>[3,4,7,1,2,5,6]
[7,1,4,3,2,6,5]=>[3,4,6,1,7,2,5]
[7,1,4,3,5,2,6]=>[5,4,7,1,3,2,6]
[7,1,4,3,5,6,2]=>[6,4,7,1,3,5,2]
[7,1,4,3,6,2,5]=>[6,4,7,1,3,2,5]
[7,1,4,3,6,5,2]=>[5,4,6,1,7,3,2]
[7,1,4,5,2,3,6]=>[5,7,1,2,4,3,6]
[7,1,4,5,2,6,3]=>[6,5,7,1,4,2,3]
[7,1,4,5,3,2,6]=>[3,5,7,1,4,2,6]
[7,1,4,5,3,6,2]=>[6,5,7,1,4,3,2]
[7,1,4,5,6,2,3]=>[6,7,1,2,4,5,3]
[7,1,4,5,6,3,2]=>[3,6,7,1,4,5,2]
[7,1,4,6,2,3,5]=>[6,7,1,2,4,3,5]
[7,1,4,6,2,5,3]=>[5,6,7,1,4,2,3]
[7,1,4,6,3,2,5]=>[3,6,7,1,4,2,5]
[7,1,4,6,3,5,2]=>[5,6,7,1,4,3,2]
[7,1,4,6,5,2,3]=>[5,6,1,2,7,4,3]
[7,1,4,6,5,3,2]=>[3,5,6,1,7,4,2]
[7,1,5,2,3,4,6]=>[5,7,1,2,3,4,6]
[7,1,5,2,3,6,4]=>[6,5,1,7,2,3,4]
[7,1,5,2,4,3,6]=>[4,5,7,1,2,3,6]
[7,1,5,2,4,6,3]=>[6,5,7,1,2,4,3]
[7,1,5,2,6,3,4]=>[6,5,7,1,2,3,4]
[7,1,5,2,6,4,3]=>[4,6,5,7,1,2,3]
[7,1,5,3,2,4,6]=>[3,5,7,1,2,4,6]
[7,1,5,3,2,6,4]=>[3,6,5,7,1,2,4]
[7,1,5,3,4,2,6]=>[4,5,7,1,3,2,6]
[7,1,5,3,4,6,2]=>[6,5,7,1,3,4,2]
[7,1,5,3,6,2,4]=>[6,5,7,1,3,2,4]
[7,1,5,3,6,4,2]=>[4,6,5,7,1,3,2]
[7,1,5,4,2,3,6]=>[4,5,1,7,2,3,6]
[7,1,5,4,2,6,3]=>[6,4,5,7,1,2,3]
[7,1,5,4,3,2,6]=>[3,4,5,7,1,2,6]
[7,1,5,4,3,6,2]=>[6,4,5,7,1,3,2]
[7,1,5,4,6,2,3]=>[6,5,1,7,2,4,3]
[7,1,5,4,6,3,2]=>[3,6,5,7,1,4,2]
[7,1,5,6,2,3,4]=>[6,7,1,2,3,5,4]
[7,1,5,6,2,4,3]=>[4,6,7,1,2,5,3]
[7,1,5,6,3,2,4]=>[3,6,7,1,2,5,4]
[7,1,5,6,3,4,2]=>[4,6,7,1,3,5,2]
[7,1,5,6,4,2,3]=>[4,6,1,7,2,5,3]
[7,1,5,6,4,3,2]=>[3,4,6,7,1,5,2]
[7,1,6,2,3,4,5]=>[6,7,1,2,3,4,5]
[7,1,6,2,3,5,4]=>[5,6,1,7,2,3,4]
[7,1,6,2,4,3,5]=>[4,6,7,1,2,3,5]
[7,1,6,2,4,5,3]=>[5,6,7,1,2,4,3]
[7,1,6,2,5,3,4]=>[5,6,7,1,2,3,4]
[7,1,6,2,5,4,3]=>[4,5,6,7,1,2,3]
[7,1,6,3,2,4,5]=>[3,6,7,1,2,4,5]
[7,1,6,3,2,5,4]=>[3,5,6,7,1,2,4]
[7,1,6,3,4,2,5]=>[4,6,7,1,3,2,5]
[7,1,6,3,4,5,2]=>[5,6,7,1,3,4,2]
[7,1,6,3,5,2,4]=>[5,6,7,1,3,2,4]
[7,1,6,3,5,4,2]=>[4,5,6,7,1,3,2]
[7,1,6,4,2,3,5]=>[4,6,1,7,2,3,5]
[7,1,6,4,2,5,3]=>[5,4,6,7,1,2,3]
[7,1,6,4,3,2,5]=>[3,4,6,7,1,2,5]
[7,1,6,4,3,5,2]=>[5,4,6,7,1,3,2]
[7,1,6,4,5,2,3]=>[5,6,1,7,2,4,3]
[7,1,6,4,5,3,2]=>[3,5,6,7,1,4,2]
[7,1,6,5,2,3,4]=>[5,6,1,2,7,3,4]
[7,1,6,5,2,4,3]=>[4,5,6,1,7,2,3]
[7,1,6,5,3,2,4]=>[3,5,6,1,7,2,4]
[7,1,6,5,3,4,2]=>[4,5,6,1,7,3,2]
[7,1,6,5,4,2,3]=>[4,5,1,6,7,2,3]
[7,1,6,5,4,3,2]=>[3,4,5,6,7,1,2]
[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[7,2,1,3,4,6,5]=>[2,6,1,3,7,4,5]
[7,2,1,3,5,4,6]=>[2,5,1,7,3,4,6]
[7,2,1,3,5,6,4]=>[2,6,1,7,3,5,4]
[7,2,1,3,6,4,5]=>[2,6,1,7,3,4,5]
[7,2,1,3,6,5,4]=>[2,5,1,6,7,3,4]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]
[7,2,1,4,3,6,5]=>[2,4,6,1,7,3,5]
[7,2,1,4,5,3,6]=>[2,5,7,1,4,3,6]
[7,2,1,4,5,6,3]=>[2,6,7,1,4,5,3]
[7,2,1,4,6,3,5]=>[2,6,7,1,4,3,5]
[7,2,1,4,6,5,3]=>[2,5,6,1,7,4,3]
[7,2,1,5,3,4,6]=>[2,5,7,1,3,4,6]
[7,2,1,5,3,6,4]=>[2,6,5,7,1,3,4]
[7,2,1,5,4,3,6]=>[2,4,5,7,1,3,6]
[7,2,1,5,4,6,3]=>[2,6,5,7,1,4,3]
[7,2,1,5,6,3,4]=>[2,6,7,1,3,5,4]
[7,2,1,5,6,4,3]=>[2,4,6,7,1,5,3]
[7,2,1,6,3,4,5]=>[2,6,7,1,3,4,5]
[7,2,1,6,3,5,4]=>[2,5,6,7,1,3,4]
[7,2,1,6,4,3,5]=>[2,4,6,7,1,3,5]
[7,2,1,6,4,5,3]=>[2,5,6,7,1,4,3]
[7,2,1,6,5,3,4]=>[2,5,6,1,7,3,4]
[7,2,1,6,5,4,3]=>[2,4,5,6,7,1,3]
[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]
[7,2,3,1,4,6,5]=>[3,6,2,1,7,4,5]
[7,2,3,1,5,4,6]=>[3,5,2,7,1,4,6]
[7,2,3,1,5,6,4]=>[3,6,2,7,1,5,4]
[7,2,3,1,6,4,5]=>[3,6,2,7,1,4,5]
[7,2,3,1,6,5,4]=>[3,5,2,6,7,1,4]
[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]
[7,2,3,4,1,6,5]=>[4,6,2,3,7,1,5]
[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]
[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]
[7,2,3,4,6,1,5]=>[6,7,2,3,4,1,5]
[7,2,3,4,6,5,1]=>[5,6,2,3,7,4,1]
[7,2,3,5,1,4,6]=>[5,7,2,3,1,4,6]
[7,2,3,5,1,6,4]=>[6,5,2,7,3,1,4]
[7,2,3,5,4,1,6]=>[4,5,2,7,3,1,6]
[7,2,3,5,4,6,1]=>[6,5,2,7,3,4,1]
[7,2,3,5,6,1,4]=>[6,7,2,3,1,5,4]
[7,2,3,5,6,4,1]=>[4,6,2,7,3,5,1]
[7,2,3,6,1,4,5]=>[6,7,2,3,1,4,5]
[7,2,3,6,1,5,4]=>[5,6,2,7,3,1,4]
[7,2,3,6,4,1,5]=>[4,6,2,7,3,1,5]
[7,2,3,6,4,5,1]=>[5,6,2,7,3,4,1]
[7,2,3,6,5,1,4]=>[5,6,2,3,7,1,4]
[7,2,3,6,5,4,1]=>[4,5,2,6,7,3,1]
[7,2,4,1,3,5,6]=>[4,7,2,1,3,5,6]
[7,2,4,1,3,6,5]=>[4,6,2,1,7,3,5]
[7,2,4,1,5,3,6]=>[5,4,7,2,1,3,6]
[7,2,4,1,5,6,3]=>[6,4,7,2,1,5,3]
[7,2,4,1,6,3,5]=>[6,4,7,2,1,3,5]
[7,2,4,1,6,5,3]=>[5,4,6,2,7,1,3]
[7,2,4,3,1,5,6]=>[3,4,7,2,1,5,6]
[7,2,4,3,1,6,5]=>[3,4,6,2,7,1,5]
[7,2,4,3,5,1,6]=>[5,4,7,2,3,1,6]
[7,2,4,3,5,6,1]=>[6,4,7,2,3,5,1]
[7,2,4,3,6,1,5]=>[6,4,7,2,3,1,5]
[7,2,4,3,6,5,1]=>[5,4,6,2,7,3,1]
[7,2,4,5,1,3,6]=>[5,7,2,1,4,3,6]
[7,2,4,5,1,6,3]=>[6,5,7,2,4,1,3]
[7,2,4,5,3,1,6]=>[3,5,7,2,4,1,6]
[7,2,4,5,3,6,1]=>[6,5,7,2,4,3,1]
[7,2,4,5,6,1,3]=>[6,7,2,1,4,5,3]
[7,2,4,5,6,3,1]=>[3,6,7,2,4,5,1]
[7,2,4,6,1,3,5]=>[6,7,2,1,4,3,5]
[7,2,4,6,1,5,3]=>[5,6,7,2,4,1,3]
[7,2,4,6,3,1,5]=>[3,6,7,2,4,1,5]
[7,2,4,6,3,5,1]=>[5,6,7,2,4,3,1]
[7,2,4,6,5,1,3]=>[5,6,2,1,7,4,3]
[7,2,4,6,5,3,1]=>[3,5,6,2,7,4,1]
[7,2,5,1,3,4,6]=>[5,7,2,1,3,4,6]
[7,2,5,1,3,6,4]=>[6,5,2,7,1,3,4]
[7,2,5,1,4,3,6]=>[4,5,7,2,1,3,6]
[7,2,5,1,4,6,3]=>[6,5,7,2,1,4,3]
[7,2,5,1,6,3,4]=>[6,5,7,2,1,3,4]
[7,2,5,1,6,4,3]=>[4,6,5,7,2,1,3]
[7,2,5,3,1,4,6]=>[3,5,7,2,1,4,6]
[7,2,5,3,1,6,4]=>[3,6,5,7,2,1,4]
[7,2,5,3,4,1,6]=>[4,5,7,2,3,1,6]
[7,2,5,3,4,6,1]=>[6,5,7,2,3,4,1]
[7,2,5,3,6,1,4]=>[6,5,7,2,3,1,4]
[7,2,5,3,6,4,1]=>[4,6,5,7,2,3,1]
[7,2,5,4,1,3,6]=>[4,5,2,7,1,3,6]
[7,2,5,4,1,6,3]=>[6,4,5,7,2,1,3]
[7,2,5,4,3,1,6]=>[3,4,5,7,2,1,6]
[7,2,5,4,3,6,1]=>[6,4,5,7,2,3,1]
[7,2,5,4,6,1,3]=>[6,5,2,7,1,4,3]
[7,2,5,4,6,3,1]=>[3,6,5,7,2,4,1]
[7,2,5,6,1,3,4]=>[6,7,2,1,3,5,4]
[7,2,5,6,1,4,3]=>[4,6,7,2,1,5,3]
[7,2,5,6,3,1,4]=>[3,6,7,2,1,5,4]
[7,2,5,6,3,4,1]=>[4,6,7,2,3,5,1]
[7,2,5,6,4,1,3]=>[4,6,2,7,1,5,3]
[7,2,5,6,4,3,1]=>[3,4,6,7,2,5,1]
[7,2,6,1,3,4,5]=>[6,7,2,1,3,4,5]
[7,2,6,1,3,5,4]=>[5,6,2,7,1,3,4]
[7,2,6,1,4,3,5]=>[4,6,7,2,1,3,5]
[7,2,6,1,4,5,3]=>[5,6,7,2,1,4,3]
[7,2,6,1,5,3,4]=>[5,6,7,2,1,3,4]
[7,2,6,1,5,4,3]=>[4,5,6,7,2,1,3]
[7,2,6,3,1,4,5]=>[3,6,7,2,1,4,5]
[7,2,6,3,1,5,4]=>[3,5,6,7,2,1,4]
[7,2,6,3,4,1,5]=>[4,6,7,2,3,1,5]
[7,2,6,3,4,5,1]=>[5,6,7,2,3,4,1]
[7,2,6,3,5,1,4]=>[5,6,7,2,3,1,4]
[7,2,6,3,5,4,1]=>[4,5,6,7,2,3,1]
[7,2,6,4,1,3,5]=>[4,6,2,7,1,3,5]
[7,2,6,4,1,5,3]=>[5,4,6,7,2,1,3]
[7,2,6,4,3,1,5]=>[3,4,6,7,2,1,5]
[7,2,6,4,3,5,1]=>[5,4,6,7,2,3,1]
[7,2,6,4,5,1,3]=>[5,6,2,7,1,4,3]
[7,2,6,4,5,3,1]=>[3,5,6,7,2,4,1]
[7,2,6,5,1,3,4]=>[5,6,2,1,7,3,4]
[7,2,6,5,1,4,3]=>[4,5,6,2,7,1,3]
[7,2,6,5,3,1,4]=>[3,5,6,2,7,1,4]
[7,2,6,5,3,4,1]=>[4,5,6,2,7,3,1]
[7,2,6,5,4,1,3]=>[4,5,2,6,7,1,3]
[7,2,6,5,4,3,1]=>[3,4,5,6,7,2,1]
[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[7,3,1,2,4,6,5]=>[3,1,6,2,7,4,5]
[7,3,1,2,5,4,6]=>[3,1,5,7,2,4,6]
[7,3,1,2,5,6,4]=>[3,1,6,7,2,5,4]
[7,3,1,2,6,4,5]=>[3,1,6,7,2,4,5]
[7,3,1,2,6,5,4]=>[3,1,5,6,7,2,4]
[7,3,1,4,2,5,6]=>[4,3,7,1,2,5,6]
[7,3,1,4,2,6,5]=>[4,3,6,1,7,2,5]
[7,3,1,4,5,2,6]=>[5,3,7,1,4,2,6]
[7,3,1,4,5,6,2]=>[6,3,7,1,4,5,2]
[7,3,1,4,6,2,5]=>[6,3,7,1,4,2,5]
[7,3,1,4,6,5,2]=>[5,3,6,1,7,4,2]
[7,3,1,5,2,4,6]=>[5,3,7,1,2,4,6]
[7,3,1,5,2,6,4]=>[6,3,5,7,1,2,4]
[7,3,1,5,4,2,6]=>[4,3,5,7,1,2,6]
[7,3,1,5,4,6,2]=>[6,3,5,7,1,4,2]
[7,3,1,5,6,2,4]=>[6,3,7,1,2,5,4]
[7,3,1,5,6,4,2]=>[4,3,6,7,1,5,2]
[7,3,1,6,2,4,5]=>[6,3,7,1,2,4,5]
[7,3,1,6,2,5,4]=>[5,3,6,7,1,2,4]
[7,3,1,6,4,2,5]=>[4,3,6,7,1,2,5]
[7,3,1,6,4,5,2]=>[5,3,6,7,1,4,2]
[7,3,1,6,5,2,4]=>[5,3,6,1,7,2,4]
[7,3,1,6,5,4,2]=>[4,3,5,6,7,1,2]
[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]
[7,3,2,1,4,6,5]=>[2,3,6,1,7,4,5]
[7,3,2,1,5,4,6]=>[2,3,5,7,1,4,6]
[7,3,2,1,5,6,4]=>[2,3,6,7,1,5,4]
[7,3,2,1,6,4,5]=>[2,3,6,7,1,4,5]
[7,3,2,1,6,5,4]=>[2,3,5,6,7,1,4]
[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]
[7,3,2,4,1,6,5]=>[4,3,6,2,7,1,5]
[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]
[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[7,3,2,4,6,1,5]=>[6,3,7,2,4,1,5]
[7,3,2,4,6,5,1]=>[5,3,6,2,7,4,1]
[7,3,2,5,1,4,6]=>[5,3,7,2,1,4,6]
[7,3,2,5,1,6,4]=>[6,3,5,7,2,1,4]
[7,3,2,5,4,1,6]=>[4,3,5,7,2,1,6]
[7,3,2,5,4,6,1]=>[6,3,5,7,2,4,1]
[7,3,2,5,6,1,4]=>[6,3,7,2,1,5,4]
[7,3,2,5,6,4,1]=>[4,3,6,7,2,5,1]
[7,3,2,6,1,4,5]=>[6,3,7,2,1,4,5]
[7,3,2,6,1,5,4]=>[5,3,6,7,2,1,4]
[7,3,2,6,4,1,5]=>[4,3,6,7,2,1,5]
[7,3,2,6,4,5,1]=>[5,3,6,7,2,4,1]
[7,3,2,6,5,1,4]=>[5,3,6,2,7,1,4]
[7,3,2,6,5,4,1]=>[4,3,5,6,7,2,1]
[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[7,3,4,1,2,6,5]=>[4,1,6,3,7,2,5]
[7,3,4,1,5,2,6]=>[5,4,7,3,1,2,6]
[7,3,4,1,5,6,2]=>[6,4,7,3,1,5,2]
[7,3,4,1,6,2,5]=>[6,4,7,3,1,2,5]
[7,3,4,1,6,5,2]=>[5,4,6,3,7,1,2]
[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]
[7,3,4,2,1,6,5]=>[2,4,6,3,7,1,5]
[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]
[7,3,4,2,5,6,1]=>[6,4,7,3,2,5,1]
[7,3,4,2,6,1,5]=>[6,4,7,3,2,1,5]
[7,3,4,2,6,5,1]=>[5,4,6,3,7,2,1]
[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]
[7,3,4,5,1,6,2]=>[6,5,7,3,4,1,2]
[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]
[7,3,4,5,2,6,1]=>[6,5,7,3,4,2,1]
[7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]
[7,3,4,5,6,2,1]=>[2,6,7,3,4,5,1]
[7,3,4,6,1,2,5]=>[6,1,7,3,4,2,5]
[7,3,4,6,1,5,2]=>[5,6,7,3,4,1,2]
[7,3,4,6,2,1,5]=>[2,6,7,3,4,1,5]
[7,3,4,6,2,5,1]=>[5,6,7,3,4,2,1]
[7,3,4,6,5,1,2]=>[5,1,6,3,7,4,2]
[7,3,4,6,5,2,1]=>[2,5,6,3,7,4,1]
[7,3,5,1,2,4,6]=>[5,1,7,3,2,4,6]
[7,3,5,1,2,6,4]=>[6,1,5,7,3,2,4]
[7,3,5,1,4,2,6]=>[4,5,7,3,1,2,6]
[7,3,5,1,4,6,2]=>[6,5,7,3,1,4,2]
[7,3,5,1,6,2,4]=>[6,5,7,3,1,2,4]
[7,3,5,1,6,4,2]=>[4,6,5,7,3,1,2]
[7,3,5,2,1,4,6]=>[2,5,7,3,1,4,6]
[7,3,5,2,1,6,4]=>[2,6,5,7,3,1,4]
[7,3,5,2,4,1,6]=>[4,5,7,3,2,1,6]
[7,3,5,2,4,6,1]=>[6,5,7,3,2,4,1]
[7,3,5,2,6,1,4]=>[6,5,7,3,2,1,4]
[7,3,5,2,6,4,1]=>[4,6,5,7,3,2,1]
[7,3,5,4,1,2,6]=>[4,1,5,7,3,2,6]
[7,3,5,4,1,6,2]=>[6,4,5,7,3,1,2]
[7,3,5,4,2,1,6]=>[2,4,5,7,3,1,6]
[7,3,5,4,2,6,1]=>[6,4,5,7,3,2,1]
[7,3,5,4,6,1,2]=>[6,1,5,7,3,4,2]
[7,3,5,4,6,2,1]=>[2,6,5,7,3,4,1]
[7,3,5,6,1,2,4]=>[6,1,7,3,2,5,4]
[7,3,5,6,1,4,2]=>[4,6,7,3,1,5,2]
[7,3,5,6,2,1,4]=>[2,6,7,3,1,5,4]
[7,3,5,6,2,4,1]=>[4,6,7,3,2,5,1]
[7,3,5,6,4,1,2]=>[4,1,6,7,3,5,2]
[7,3,5,6,4,2,1]=>[2,4,6,7,3,5,1]
[7,3,6,1,2,4,5]=>[6,1,7,3,2,4,5]
[7,3,6,1,2,5,4]=>[5,1,6,7,3,2,4]
[7,3,6,1,4,2,5]=>[4,6,7,3,1,2,5]
[7,3,6,1,4,5,2]=>[5,6,7,3,1,4,2]
[7,3,6,1,5,2,4]=>[5,6,7,3,1,2,4]
[7,3,6,1,5,4,2]=>[4,5,6,7,3,1,2]
[7,3,6,2,1,4,5]=>[2,6,7,3,1,4,5]
[7,3,6,2,1,5,4]=>[2,5,6,7,3,1,4]
[7,3,6,2,4,1,5]=>[4,6,7,3,2,1,5]
[7,3,6,2,4,5,1]=>[5,6,7,3,2,4,1]
[7,3,6,2,5,1,4]=>[5,6,7,3,2,1,4]
[7,3,6,2,5,4,1]=>[4,5,6,7,3,2,1]
[7,3,6,4,1,2,5]=>[4,1,6,7,3,2,5]
[7,3,6,4,1,5,2]=>[5,4,6,7,3,1,2]
[7,3,6,4,2,1,5]=>[2,4,6,7,3,1,5]
[7,3,6,4,2,5,1]=>[5,4,6,7,3,2,1]
[7,3,6,4,5,1,2]=>[5,1,6,7,3,4,2]
[7,3,6,4,5,2,1]=>[2,5,6,7,3,4,1]
[7,3,6,5,1,2,4]=>[5,1,6,3,7,2,4]
[7,3,6,5,1,4,2]=>[4,5,6,3,7,1,2]
[7,3,6,5,2,1,4]=>[2,5,6,3,7,1,4]
[7,3,6,5,2,4,1]=>[4,5,6,3,7,2,1]
[7,3,6,5,4,1,2]=>[4,1,5,6,7,3,2]
[7,3,6,5,4,2,1]=>[2,4,5,6,7,3,1]
[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[7,4,1,2,3,6,5]=>[4,1,2,6,7,3,5]
[7,4,1,2,5,3,6]=>[5,1,4,7,2,3,6]
[7,4,1,2,5,6,3]=>[6,1,4,7,2,5,3]
[7,4,1,2,6,3,5]=>[6,1,4,7,2,3,5]
[7,4,1,2,6,5,3]=>[5,1,4,6,7,2,3]
[7,4,1,3,2,5,6]=>[3,4,1,7,2,5,6]
[7,4,1,3,2,6,5]=>[3,4,1,6,7,2,5]
[7,4,1,3,5,2,6]=>[5,4,1,7,3,2,6]
[7,4,1,3,5,6,2]=>[6,4,1,7,3,5,2]
[7,4,1,3,6,2,5]=>[6,4,1,7,3,2,5]
[7,4,1,3,6,5,2]=>[5,4,1,6,7,3,2]
[7,4,1,5,2,3,6]=>[5,4,1,7,2,3,6]
[7,4,1,5,2,6,3]=>[6,5,4,7,1,2,3]
[7,4,1,5,3,2,6]=>[3,5,4,7,1,2,6]
[7,4,1,5,3,6,2]=>[6,5,4,7,1,3,2]
[7,4,1,5,6,2,3]=>[6,4,1,7,2,5,3]
[7,4,1,5,6,3,2]=>[3,6,4,7,1,5,2]
[7,4,1,6,2,3,5]=>[6,4,1,7,2,3,5]
[7,4,1,6,2,5,3]=>[5,6,4,7,1,2,3]
[7,4,1,6,3,2,5]=>[3,6,4,7,1,2,5]
[7,4,1,6,3,5,2]=>[5,6,4,7,1,3,2]
[7,4,1,6,5,2,3]=>[5,4,1,6,7,2,3]
[7,4,1,6,5,3,2]=>[3,5,4,6,7,1,2]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[7,4,2,1,3,6,5]=>[2,4,1,6,7,3,5]
[7,4,2,1,5,3,6]=>[2,5,4,7,1,3,6]
[7,4,2,1,5,6,3]=>[2,6,4,7,1,5,3]
[7,4,2,1,6,3,5]=>[2,6,4,7,1,3,5]
[7,4,2,1,6,5,3]=>[2,5,4,6,7,1,3]
[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]
[7,4,2,3,1,6,5]=>[3,4,2,6,7,1,5]
[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]
[7,4,2,3,5,6,1]=>[6,4,2,7,3,5,1]
[7,4,2,3,6,1,5]=>[6,4,2,7,3,1,5]
[7,4,2,3,6,5,1]=>[5,4,2,6,7,3,1]
[7,4,2,5,1,3,6]=>[5,4,2,7,1,3,6]
[7,4,2,5,1,6,3]=>[6,5,4,7,2,1,3]
[7,4,2,5,3,1,6]=>[3,5,4,7,2,1,6]
[7,4,2,5,3,6,1]=>[6,5,4,7,2,3,1]
[7,4,2,5,6,1,3]=>[6,4,2,7,1,5,3]
[7,4,2,5,6,3,1]=>[3,6,4,7,2,5,1]
[7,4,2,6,1,3,5]=>[6,4,2,7,1,3,5]
[7,4,2,6,1,5,3]=>[5,6,4,7,2,1,3]
[7,4,2,6,3,1,5]=>[3,6,4,7,2,1,5]
[7,4,2,6,3,5,1]=>[5,6,4,7,2,3,1]
[7,4,2,6,5,1,3]=>[5,4,2,6,7,1,3]
[7,4,2,6,5,3,1]=>[3,5,4,6,7,2,1]
[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]
[7,4,3,1,2,6,5]=>[3,1,4,6,7,2,5]
[7,4,3,1,5,2,6]=>[5,3,4,7,1,2,6]
[7,4,3,1,5,6,2]=>[6,3,4,7,1,5,2]
[7,4,3,1,6,2,5]=>[6,3,4,7,1,2,5]
[7,4,3,1,6,5,2]=>[5,3,4,6,7,1,2]
[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]
[7,4,3,2,1,6,5]=>[2,3,4,6,7,1,5]
[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]
[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[7,4,3,2,6,1,5]=>[6,3,4,7,2,1,5]
[7,4,3,2,6,5,1]=>[5,3,4,6,7,2,1]
[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]
[7,4,3,5,1,6,2]=>[6,5,4,7,3,1,2]
[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]
[7,4,3,5,2,6,1]=>[6,5,4,7,3,2,1]
[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]
[7,4,3,5,6,2,1]=>[2,6,4,7,3,5,1]
[7,4,3,6,1,2,5]=>[6,1,4,7,3,2,5]
[7,4,3,6,1,5,2]=>[5,6,4,7,3,1,2]
[7,4,3,6,2,1,5]=>[2,6,4,7,3,1,5]
[7,4,3,6,2,5,1]=>[5,6,4,7,3,2,1]
[7,4,3,6,5,1,2]=>[5,1,4,6,7,3,2]
[7,4,3,6,5,2,1]=>[2,5,4,6,7,3,1]
[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]
[7,4,5,1,2,6,3]=>[6,1,5,7,4,2,3]
[7,4,5,1,3,2,6]=>[3,5,1,7,4,2,6]
[7,4,5,1,3,6,2]=>[6,5,1,7,4,3,2]
[7,4,5,1,6,2,3]=>[6,5,1,7,4,2,3]
[7,4,5,1,6,3,2]=>[3,6,5,7,4,1,2]
[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]
[7,4,5,2,1,6,3]=>[2,6,5,7,4,1,3]
[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]
[7,4,5,2,3,6,1]=>[6,5,2,7,4,3,1]
[7,4,5,2,6,1,3]=>[6,5,2,7,4,1,3]
[7,4,5,2,6,3,1]=>[3,6,5,7,4,2,1]
[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]
[7,4,5,3,1,6,2]=>[6,3,5,7,4,1,2]
[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]
[7,4,5,3,2,6,1]=>[6,3,5,7,4,2,1]
[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]
[7,4,5,3,6,2,1]=>[2,6,5,7,4,3,1]
[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]
[7,4,5,6,1,3,2]=>[3,6,1,7,4,5,2]
[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]
[7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1]
[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]
[7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1]
[7,4,6,1,2,3,5]=>[6,1,2,7,4,3,5]
[7,4,6,1,2,5,3]=>[5,1,6,7,4,2,3]
[7,4,6,1,3,2,5]=>[3,6,1,7,4,2,5]
[7,4,6,1,3,5,2]=>[5,6,1,7,4,3,2]
[7,4,6,1,5,2,3]=>[5,6,1,7,4,2,3]
[7,4,6,1,5,3,2]=>[3,5,6,7,4,1,2]
[7,4,6,2,1,3,5]=>[2,6,1,7,4,3,5]
[7,4,6,2,1,5,3]=>[2,5,6,7,4,1,3]
[7,4,6,2,3,1,5]=>[3,6,2,7,4,1,5]
[7,4,6,2,3,5,1]=>[5,6,2,7,4,3,1]
[7,4,6,2,5,1,3]=>[5,6,2,7,4,1,3]
[7,4,6,2,5,3,1]=>[3,5,6,7,4,2,1]
[7,4,6,3,1,2,5]=>[3,1,6,7,4,2,5]
[7,4,6,3,1,5,2]=>[5,3,6,7,4,1,2]
[7,4,6,3,2,1,5]=>[2,3,6,7,4,1,5]
[7,4,6,3,2,5,1]=>[5,3,6,7,4,2,1]
[7,4,6,3,5,1,2]=>[5,1,6,7,4,3,2]
[7,4,6,3,5,2,1]=>[2,5,6,7,4,3,1]
[7,4,6,5,1,2,3]=>[5,1,2,6,7,4,3]
[7,4,6,5,1,3,2]=>[3,5,1,6,7,4,2]
[7,4,6,5,2,1,3]=>[2,5,1,6,7,4,3]
[7,4,6,5,2,3,1]=>[3,5,2,6,7,4,1]
[7,4,6,5,3,1,2]=>[3,1,5,6,7,4,2]
[7,4,6,5,3,2,1]=>[2,3,5,6,7,4,1]
[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[7,5,1,2,3,6,4]=>[6,1,2,5,7,3,4]
[7,5,1,2,4,3,6]=>[4,1,5,2,7,3,6]
[7,5,1,2,4,6,3]=>[6,1,5,2,7,4,3]
[7,5,1,2,6,3,4]=>[6,1,5,2,7,3,4]
[7,5,1,2,6,4,3]=>[4,1,6,5,7,2,3]
[7,5,1,3,2,4,6]=>[3,5,1,2,7,4,6]
[7,5,1,3,2,6,4]=>[3,6,1,5,7,2,4]
[7,5,1,3,4,2,6]=>[4,5,1,3,7,2,6]
[7,5,1,3,4,6,2]=>[6,5,1,3,7,4,2]
[7,5,1,3,6,2,4]=>[6,5,1,3,7,2,4]
[7,5,1,3,6,4,2]=>[4,6,1,5,7,3,2]
[7,5,1,4,2,3,6]=>[4,5,1,2,7,3,6]
[7,5,1,4,2,6,3]=>[6,4,5,1,7,2,3]
[7,5,1,4,3,2,6]=>[3,4,5,1,7,2,6]
[7,5,1,4,3,6,2]=>[6,4,5,1,7,3,2]
[7,5,1,4,6,2,3]=>[6,5,1,2,7,4,3]
[7,5,1,4,6,3,2]=>[3,6,5,1,7,4,2]
[7,5,1,6,2,3,4]=>[6,5,1,2,7,3,4]
[7,5,1,6,2,4,3]=>[4,6,5,1,7,2,3]
[7,5,1,6,3,2,4]=>[3,6,5,1,7,2,4]
[7,5,1,6,3,4,2]=>[4,6,5,1,7,3,2]
[7,5,1,6,4,2,3]=>[4,6,1,5,7,2,3]
[7,5,1,6,4,3,2]=>[3,4,6,5,7,1,2]
[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]
[7,5,2,1,3,6,4]=>[2,6,1,5,7,3,4]
[7,5,2,1,4,3,6]=>[2,4,5,1,7,3,6]
[7,5,2,1,4,6,3]=>[2,6,5,1,7,4,3]
[7,5,2,1,6,3,4]=>[2,6,5,1,7,3,4]
[7,5,2,1,6,4,3]=>[2,4,6,5,7,1,3]
[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]
[7,5,2,3,1,6,4]=>[3,6,2,5,7,1,4]
[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]
[7,5,2,3,4,6,1]=>[6,5,2,3,7,4,1]
[7,5,2,3,6,1,4]=>[6,5,2,3,7,1,4]
[7,5,2,3,6,4,1]=>[4,6,2,5,7,3,1]
[7,5,2,4,1,3,6]=>[4,5,2,1,7,3,6]
[7,5,2,4,1,6,3]=>[6,4,5,2,7,1,3]
[7,5,2,4,3,1,6]=>[3,4,5,2,7,1,6]
[7,5,2,4,3,6,1]=>[6,4,5,2,7,3,1]
[7,5,2,4,6,1,3]=>[6,5,2,1,7,4,3]
[7,5,2,4,6,3,1]=>[3,6,5,2,7,4,1]
[7,5,2,6,1,3,4]=>[6,5,2,1,7,3,4]
[7,5,2,6,1,4,3]=>[4,6,5,2,7,1,3]
[7,5,2,6,3,1,4]=>[3,6,5,2,7,1,4]
[7,5,2,6,3,4,1]=>[4,6,5,2,7,3,1]
[7,5,2,6,4,1,3]=>[4,6,2,5,7,1,3]
[7,5,2,6,4,3,1]=>[3,4,6,5,7,2,1]
[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]
[7,5,3,1,2,6,4]=>[3,1,6,5,7,2,4]
[7,5,3,1,4,2,6]=>[4,3,5,1,7,2,6]
[7,5,3,1,4,6,2]=>[6,3,5,1,7,4,2]
[7,5,3,1,6,2,4]=>[6,3,5,1,7,2,4]
[7,5,3,1,6,4,2]=>[4,3,6,5,7,1,2]
[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]
[7,5,3,2,1,6,4]=>[2,3,6,5,7,1,4]
[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]
[7,5,3,2,4,6,1]=>[6,3,5,2,7,4,1]
[7,5,3,2,6,1,4]=>[6,3,5,2,7,1,4]
[7,5,3,2,6,4,1]=>[4,3,6,5,7,2,1]
[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]
[7,5,3,4,1,6,2]=>[6,4,5,3,7,1,2]
[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]
[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]
[7,5,3,4,6,2,1]=>[2,6,5,3,7,4,1]
[7,5,3,6,1,2,4]=>[6,1,5,3,7,2,4]
[7,5,3,6,1,4,2]=>[4,6,5,3,7,1,2]
[7,5,3,6,2,1,4]=>[2,6,5,3,7,1,4]
[7,5,3,6,2,4,1]=>[4,6,5,3,7,2,1]
[7,5,3,6,4,1,2]=>[4,1,6,5,7,3,2]
[7,5,3,6,4,2,1]=>[2,4,6,5,7,3,1]
[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]
[7,5,4,1,2,6,3]=>[6,1,4,5,7,2,3]
[7,5,4,1,3,2,6]=>[3,4,1,5,7,2,6]
[7,5,4,1,3,6,2]=>[6,4,1,5,7,3,2]
[7,5,4,1,6,2,3]=>[6,4,1,5,7,2,3]
[7,5,4,1,6,3,2]=>[3,6,4,5,7,1,2]
[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]
[7,5,4,2,1,6,3]=>[2,6,4,5,7,1,3]
[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]
[7,5,4,2,3,6,1]=>[6,4,2,5,7,3,1]
[7,5,4,2,6,1,3]=>[6,4,2,5,7,1,3]
[7,5,4,2,6,3,1]=>[3,6,4,5,7,2,1]
[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]
[7,5,4,3,1,6,2]=>[6,3,4,5,7,1,2]
[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]
[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]
[7,5,4,3,6,2,1]=>[2,6,4,5,7,3,1]
[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]
[7,5,4,6,1,3,2]=>[3,6,1,5,7,4,2]
[7,5,4,6,2,1,3]=>[2,6,1,5,7,4,3]
[7,5,4,6,2,3,1]=>[3,6,2,5,7,4,1]
[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]
[7,5,4,6,3,2,1]=>[2,3,6,5,7,4,1]
[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]
[7,5,6,1,2,4,3]=>[4,1,6,2,7,5,3]
[7,5,6,1,3,2,4]=>[3,6,1,2,7,5,4]
[7,5,6,1,3,4,2]=>[4,6,1,3,7,5,2]
[7,5,6,1,4,2,3]=>[4,6,1,2,7,5,3]
[7,5,6,1,4,3,2]=>[3,4,6,1,7,5,2]
[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]
[7,5,6,2,1,4,3]=>[2,4,6,1,7,5,3]
[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]
[7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1]
[7,5,6,2,4,1,3]=>[4,6,2,1,7,5,3]
[7,5,6,2,4,3,1]=>[3,4,6,2,7,5,1]
[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]
[7,5,6,3,1,4,2]=>[4,3,6,1,7,5,2]
[7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]
[7,5,6,3,2,4,1]=>[4,3,6,2,7,5,1]
[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]
[7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1]
[7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]
[7,5,6,4,1,3,2]=>[3,4,1,6,7,5,2]
[7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]
[7,5,6,4,2,3,1]=>[3,4,2,6,7,5,1]
[7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]
[7,5,6,4,3,2,1]=>[2,3,4,6,7,5,1]
[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]
[7,6,1,2,3,5,4]=>[5,1,2,6,3,7,4]
[7,6,1,2,4,3,5]=>[4,1,6,2,3,7,5]
[7,6,1,2,4,5,3]=>[5,1,6,2,4,7,3]
[7,6,1,2,5,3,4]=>[5,1,6,2,3,7,4]
[7,6,1,2,5,4,3]=>[4,1,5,6,2,7,3]
[7,6,1,3,2,4,5]=>[3,6,1,2,4,7,5]
[7,6,1,3,2,5,4]=>[3,5,1,6,2,7,4]
[7,6,1,3,4,2,5]=>[4,6,1,3,2,7,5]
[7,6,1,3,4,5,2]=>[5,6,1,3,4,7,2]
[7,6,1,3,5,2,4]=>[5,6,1,3,2,7,4]
[7,6,1,3,5,4,2]=>[4,5,1,6,3,7,2]
[7,6,1,4,2,3,5]=>[4,6,1,2,3,7,5]
[7,6,1,4,2,5,3]=>[5,4,6,1,2,7,3]
[7,6,1,4,3,2,5]=>[3,4,6,1,2,7,5]
[7,6,1,4,3,5,2]=>[5,4,6,1,3,7,2]
[7,6,1,4,5,2,3]=>[5,6,1,2,4,7,3]
[7,6,1,4,5,3,2]=>[3,5,6,1,4,7,2]
[7,6,1,5,2,3,4]=>[5,6,1,2,3,7,4]
[7,6,1,5,2,4,3]=>[4,5,6,1,2,7,3]
[7,6,1,5,3,2,4]=>[3,5,6,1,2,7,4]
[7,6,1,5,3,4,2]=>[4,5,6,1,3,7,2]
[7,6,1,5,4,2,3]=>[4,5,1,6,2,7,3]
[7,6,1,5,4,3,2]=>[3,4,5,6,1,7,2]
[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]
[7,6,2,1,3,5,4]=>[2,5,1,6,3,7,4]
[7,6,2,1,4,3,5]=>[2,4,6,1,3,7,5]
[7,6,2,1,4,5,3]=>[2,5,6,1,4,7,3]
[7,6,2,1,5,3,4]=>[2,5,6,1,3,7,4]
[7,6,2,1,5,4,3]=>[2,4,5,6,1,7,3]
[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]
[7,6,2,3,1,5,4]=>[3,5,2,6,1,7,4]
[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]
[7,6,2,3,4,5,1]=>[5,6,2,3,4,7,1]
[7,6,2,3,5,1,4]=>[5,6,2,3,1,7,4]
[7,6,2,3,5,4,1]=>[4,5,2,6,3,7,1]
[7,6,2,4,1,3,5]=>[4,6,2,1,3,7,5]
[7,6,2,4,1,5,3]=>[5,4,6,2,1,7,3]
[7,6,2,4,3,1,5]=>[3,4,6,2,1,7,5]
[7,6,2,4,3,5,1]=>[5,4,6,2,3,7,1]
[7,6,2,4,5,1,3]=>[5,6,2,1,4,7,3]
[7,6,2,4,5,3,1]=>[3,5,6,2,4,7,1]
[7,6,2,5,1,3,4]=>[5,6,2,1,3,7,4]
[7,6,2,5,1,4,3]=>[4,5,6,2,1,7,3]
[7,6,2,5,3,1,4]=>[3,5,6,2,1,7,4]
[7,6,2,5,3,4,1]=>[4,5,6,2,3,7,1]
[7,6,2,5,4,1,3]=>[4,5,2,6,1,7,3]
[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]
[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]
[7,6,3,1,2,5,4]=>[3,1,5,6,2,7,4]
[7,6,3,1,4,2,5]=>[4,3,6,1,2,7,5]
[7,6,3,1,4,5,2]=>[5,3,6,1,4,7,2]
[7,6,3,1,5,2,4]=>[5,3,6,1,2,7,4]
[7,6,3,1,5,4,2]=>[4,3,5,6,1,7,2]
[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]
[7,6,3,2,1,5,4]=>[2,3,5,6,1,7,4]
[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]
[7,6,3,2,4,5,1]=>[5,3,6,2,4,7,1]
[7,6,3,2,5,1,4]=>[5,3,6,2,1,7,4]
[7,6,3,2,5,4,1]=>[4,3,5,6,2,7,1]
[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]
[7,6,3,4,1,5,2]=>[5,4,6,3,1,7,2]
[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]
[7,6,3,4,2,5,1]=>[5,4,6,3,2,7,1]
[7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]
[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[7,6,3,5,1,2,4]=>[5,1,6,3,2,7,4]
[7,6,3,5,1,4,2]=>[4,5,6,3,1,7,2]
[7,6,3,5,2,1,4]=>[2,5,6,3,1,7,4]
[7,6,3,5,2,4,1]=>[4,5,6,3,2,7,1]
[7,6,3,5,4,1,2]=>[4,1,5,6,3,7,2]
[7,6,3,5,4,2,1]=>[2,4,5,6,3,7,1]
[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]
[7,6,4,1,2,5,3]=>[5,1,4,6,2,7,3]
[7,6,4,1,3,2,5]=>[3,4,1,6,2,7,5]
[7,6,4,1,3,5,2]=>[5,4,1,6,3,7,2]
[7,6,4,1,5,2,3]=>[5,4,1,6,2,7,3]
[7,6,4,1,5,3,2]=>[3,5,4,6,1,7,2]
[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]
[7,6,4,2,1,5,3]=>[2,5,4,6,1,7,3]
[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]
[7,6,4,2,3,5,1]=>[5,4,2,6,3,7,1]
[7,6,4,2,5,1,3]=>[5,4,2,6,1,7,3]
[7,6,4,2,5,3,1]=>[3,5,4,6,2,7,1]
[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]
[7,6,4,3,1,5,2]=>[5,3,4,6,1,7,2]
[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]
[7,6,4,3,2,5,1]=>[5,3,4,6,2,7,1]
[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]
[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]
[7,6,4,5,1,3,2]=>[3,5,1,6,4,7,2]
[7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]
[7,6,4,5,2,3,1]=>[3,5,2,6,4,7,1]
[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]
[7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1]
[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]
[7,6,5,1,2,4,3]=>[4,1,5,2,6,7,3]
[7,6,5,1,3,2,4]=>[3,5,1,2,6,7,4]
[7,6,5,1,3,4,2]=>[4,5,1,3,6,7,2]
[7,6,5,1,4,2,3]=>[4,5,1,2,6,7,3]
[7,6,5,1,4,3,2]=>[3,4,5,1,6,7,2]
[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]
[7,6,5,2,1,4,3]=>[2,4,5,1,6,7,3]
[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]
[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1]
[7,6,5,2,4,1,3]=>[4,5,2,1,6,7,3]
[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]
[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]
[7,6,5,3,1,4,2]=>[4,3,5,1,6,7,2]
[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]
[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]
[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]
[7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1]
[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]
[7,6,5,4,1,3,2]=>[3,4,1,5,6,7,2]
[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]
[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]
[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]
[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[8,7,5,6,3,4,2,1]=>[2,4,6,3,7,5,8,1]
[8,6,7,5,4,2,3,1]=>[3,4,2,5,7,8,6,1]
[8,6,5,7,3,2,4,1]=>[4,3,7,2,6,8,5,1]
[8,5,6,7,2,3,4,1]=>[4,7,2,3,8,5,6,1]
[7,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,7,2]
[7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,2]
[5,6,7,8,3,4,1,2]=>[4,1,8,3,5,6,7,2]
[7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,7,2]
[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]
[7,6,8,5,4,2,1,3]=>[2,4,1,5,8,7,6,3]
[6,7,8,5,4,1,2,3]=>[4,1,2,5,8,6,7,3]
[7,6,5,8,3,2,1,4]=>[2,3,8,1,6,7,5,4]
[7,5,6,8,2,3,1,4]=>[3,8,2,1,7,5,6,4]
[6,7,5,8,3,1,2,4]=>[3,1,8,2,7,6,5,4]
[6,5,7,8,2,1,3,4]=>[2,8,1,3,6,5,7,4]
[7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,7,4]
[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3]
[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]
[3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5]
[2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]
[3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]
[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]=>[2,3,4,5,6,1,8,7]
[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7]
[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]
[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]=>[2,1,6,5,7,8,4,3]
[4,2,3,1,8,6,7,5]=>[3,4,2,1,7,8,6,5]
[6,3,2,5,4,1,8,7]=>[4,3,5,6,2,1,8,7]
[8,3,2,5,4,7,6,1]=>[6,3,5,7,2,8,4,1]
[8,3,2,7,6,5,4,1]=>[4,3,5,6,7,8,2,1]
[8,5,4,3,2,7,6,1]=>[6,3,4,5,7,8,2,1]
[8,7,4,3,6,5,2,1]=>[2,5,4,6,7,3,8,1]
[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]=>[8,2,7,4,5,6,1,3]
[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]
[2,5,1,7,3,4,8,6]=>[8,2,5,1,3,7,4,6]
[2,1,5,7,3,8,4,6]=>[2,1,8,7,5,3,4,6]
[2,3,5,6,1,7,8,4]=>[8,2,3,6,5,1,7,4]
[2,6,7,1,3,4,8,5]=>[8,2,1,3,7,6,4,5]
[2,1,6,7,8,3,4,5]=>[2,1,8,3,4,6,7,5]
[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]=>[6,5,3,1,2,4,8,7]
[3,1,5,6,2,8,4,7]=>[8,3,1,6,5,2,4,7]
[3,5,1,7,2,8,4,6]=>[8,7,3,5,1,2,4,6]
[1,3,5,6,2,7,4,8]=>[1,7,3,6,5,2,4,8]
[3,6,7,1,2,8,4,5]=>[8,1,3,7,2,6,4,5]
[3,6,1,7,8,2,4,5]=>[8,6,3,1,2,4,7,5]
[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]
[4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]
[4,1,5,6,8,2,3,7]=>[8,4,1,2,5,6,3,7]
[4,5,7,1,2,8,3,6]=>[8,1,7,4,5,2,3,6]
[4,5,1,7,8,2,3,6]=>[8,5,1,4,2,3,7,6]
[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]
[4,6,7,1,8,2,3,5]=>[8,7,1,4,2,6,3,5]
[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]=>[1,7,5,2,3,4,6,8]
[5,1,2,8,3,4,6,7]=>[8,1,5,2,3,4,6,7]
[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]
[6,1,8,2,3,4,5,7]=>[8,6,1,2,3,4,5,7]
[5,3,2,6,1,4,8,7]=>[6,3,5,2,1,4,8,7]
[7,3,2,5,4,8,1,6]=>[8,3,5,7,2,4,1,6]
[8,4,5,2,3,7,6,1]=>[6,5,2,7,4,8,3,1]
[7,4,5,2,3,8,1,6]=>[8,5,2,7,4,3,1,6]
[6,4,5,2,3,1,8,7]=>[3,5,2,6,4,1,8,7]
[5,4,6,2,1,3,8,7]=>[2,6,1,5,4,3,8,7]
[3,6,1,5,4,2,8,7]=>[4,5,3,6,1,2,8,7]
[4,6,5,1,3,2,8,7]=>[3,5,1,4,6,2,8,7]
[5,6,4,3,1,2,8,7]=>[3,1,4,6,5,2,8,7]
[7,5,4,3,2,8,1,6]=>[8,3,4,5,7,2,1,6]
[8,6,4,3,7,2,5,1]=>[5,7,4,6,3,8,2,1]
[7,6,4,3,8,2,1,5]=>[2,8,4,6,3,7,1,5]
[6,7,4,3,8,1,2,5]=>[8,1,4,7,3,6,2,5]
[5,7,4,3,1,8,2,6]=>[8,3,4,7,5,1,2,6]
[4,7,5,1,3,8,2,6]=>[8,5,1,4,7,3,2,6]
[3,7,1,5,4,8,2,6]=>[8,5,3,7,1,4,2,6]
[2,1,7,5,4,8,3,6]=>[2,1,8,5,7,4,3,6]
[3,8,1,5,4,7,6,2]=>[6,5,3,7,1,8,4,2]
[4,8,5,1,3,7,6,2]=>[6,5,1,4,7,8,3,2]
[5,8,4,3,1,7,6,2]=>[6,3,4,7,5,8,1,2]
[6,8,4,3,7,1,5,2]=>[5,7,4,8,3,6,1,2]
[7,8,4,3,6,5,1,2]=>[5,1,4,6,8,3,7,2]
[6,8,5,7,3,1,4,2]=>[4,3,7,1,8,6,5,2]
[5,8,6,7,1,3,4,2]=>[4,7,1,3,5,8,6,2]
[4,8,6,1,7,3,5,2]=>[5,7,6,4,1,8,3,2]
[3,8,1,6,7,4,5,2]=>[5,7,3,8,1,4,6,2]
[2,1,8,6,7,4,5,3]=>[2,1,5,7,4,8,6,3]
[2,1,7,6,8,4,3,5]=>[2,1,4,8,3,7,6,5]
[3,7,1,6,8,4,2,5]=>[4,8,3,7,1,2,6,5]
[4,7,6,1,8,3,2,5]=>[3,8,6,4,1,7,2,5]
[5,7,6,8,1,3,2,4]=>[3,8,1,2,5,7,6,4]
[5,4,7,2,1,8,3,6]=>[2,8,7,5,4,1,3,6]
[6,4,7,2,8,1,3,5]=>[8,7,2,6,4,1,3,5]
[7,4,6,2,8,3,1,5]=>[3,8,6,7,4,2,1,5]
[8,4,6,2,7,3,5,1]=>[5,7,6,8,4,2,3,1]
[8,3,2,6,7,4,5,1]=>[5,3,7,8,2,4,6,1]
[7,3,2,6,8,4,1,5]=>[4,3,8,7,2,1,6,5]
[6,3,2,7,8,1,4,5]=>[8,3,6,2,1,4,7,5]
[5,3,2,7,1,8,4,6]=>[8,3,7,5,2,1,4,6]
[4,3,2,1,7,8,5,6]=>[2,3,4,1,8,5,7,6]
[3,4,1,2,8,7,6,5]=>[4,1,3,2,6,7,8,5]
[5,3,2,8,1,7,6,4]=>[6,3,7,5,2,8,1,4]
[6,3,2,8,7,1,5,4]=>[5,3,7,6,2,1,8,4]
[7,3,2,8,6,5,1,4]=>[5,3,6,2,8,7,1,4]
[8,4,7,2,6,5,3,1]=>[3,5,6,7,8,4,2,1]
[7,4,8,2,6,5,1,3]=>[5,6,2,8,7,4,1,3]
[6,4,8,2,7,1,5,3]=>[5,7,8,6,4,2,1,3]
[5,4,8,2,1,7,6,3]=>[2,6,7,5,4,8,1,3]
[4,5,8,1,2,7,6,3]=>[6,1,7,4,5,8,2,3]
[3,5,1,8,2,7,6,4]=>[6,7,3,5,1,8,2,4]
[2,1,5,8,3,7,6,4]=>[2,1,6,7,5,8,3,4]
[2,1,6,8,7,3,5,4]=>[2,1,5,7,3,6,8,4]
[3,6,1,8,7,2,5,4]=>[5,7,3,6,1,2,8,4]
[4,6,8,1,7,2,5,3]=>[5,7,8,4,1,6,2,3]
[5,6,8,7,1,2,4,3]=>[4,1,7,2,5,6,8,3]
[6,5,8,7,2,1,4,3]=>[2,4,7,1,6,5,8,3]
[7,5,8,6,2,4,1,3]=>[4,6,2,1,8,7,5,3]
[8,5,7,6,2,4,3,1]=>[3,4,6,2,7,8,5,1]
[5,7,8,6,1,4,2,3]=>[4,6,1,2,5,8,7,3]
[4,7,8,1,6,5,2,3]=>[5,6,1,4,8,2,7,3]
[3,7,1,8,6,5,2,4]=>[5,6,3,1,8,7,2,4]
[2,1,7,8,6,5,3,4]=>[2,1,5,3,6,8,7,4]
[3,8,1,7,6,5,4,2]=>[4,5,3,6,7,8,1,2]
[4,8,7,1,6,5,3,2]=>[3,5,6,4,7,1,8,2]
[5,8,7,6,1,4,3,2]=>[3,4,6,1,5,7,8,2]
[6,8,7,5,4,1,3,2]=>[3,4,1,5,7,6,8,2]
[6,3,8,1,2,7,4,5]=>[7,1,8,6,3,2,4,5]
[7,8,4,1,6,2,3,5]=>[6,4,1,8,2,3,7,5]
[6,5,8,7,3,4,1,2]=>[4,1,7,3,6,5,8,2]
[4,6,7,3,8,5,1,2]=>[5,1,8,4,7,6,3,2]
[3,6,7,4,5,8,1,2]=>[8,1,3,7,4,6,5,2]
[2,6,7,4,5,1,8,3]=>[8,2,5,7,4,6,1,3]
[1,6,7,4,5,2,3,8]=>[1,5,2,7,4,6,3,8]
[1,5,4,7,6,2,3,8]=>[1,6,2,5,4,7,3,8]
[2,5,4,7,6,1,8,3]=>[8,2,6,5,4,7,1,3]
[3,5,4,7,6,8,1,2]=>[8,1,3,5,4,7,6,2]
[4,5,3,7,8,6,1,2]=>[6,1,5,4,3,8,7,2]
[5,4,3,8,7,6,1,2]=>[6,1,4,5,3,7,8,2]
[6,4,8,3,7,5,1,2]=>[5,1,7,8,6,4,3,2]
[6,3,8,4,5,7,1,2]=>[7,1,8,6,3,4,5,2]
[5,3,4,8,6,7,1,2]=>[7,1,5,3,4,8,6,2]
[4,3,5,6,8,7,1,2]=>[7,1,4,3,5,6,8,2]
[3,2,5,6,1,8,7,4]=>[7,3,2,6,5,1,8,4]
[4,2,5,6,8,1,7,3]=>[7,8,4,2,5,6,1,3]
[5,2,4,8,6,1,7,3]=>[7,6,5,2,4,8,1,3]
[6,2,8,4,5,1,7,3]=>[7,5,8,6,2,4,1,3]
[7,8,2,4,5,1,6,3]=>[6,5,8,2,4,1,7,3]
[7,8,1,4,5,2,3,6]=>[5,8,1,2,4,3,7,6]
[6,1,8,4,5,2,3,7]=>[5,8,1,6,2,4,3,7]
[5,1,4,8,6,2,3,7]=>[6,5,1,2,4,8,3,7]
[4,1,3,2,8,6,5,7]=>[3,4,1,2,6,8,5,7]
[5,1,3,8,2,6,4,7]=>[6,8,1,5,3,2,4,7]
[6,1,8,3,2,5,4,7]=>[3,5,8,6,1,2,4,7]
[7,8,1,3,2,5,4,6]=>[3,5,1,8,2,4,7,6]
[7,8,2,3,1,5,6,4]=>[3,6,2,8,1,5,7,4]
[6,2,8,3,1,5,7,4]=>[3,7,8,6,2,1,5,4]
[5,2,3,8,1,6,7,4]=>[7,8,2,5,3,1,6,4]
[6,3,8,2,1,7,5,4]=>[2,5,7,8,6,3,1,4]
[7,8,3,2,1,6,5,4]=>[2,3,5,6,8,1,7,4]
[7,8,4,2,6,1,5,3]=>[5,6,4,8,2,1,7,3]
[5,4,2,8,7,1,6,3]=>[6,7,4,5,2,1,8,3]
[4,5,2,7,8,1,6,3]=>[6,8,5,4,2,1,7,3]
[3,5,2,7,1,8,6,4]=>[6,8,3,5,2,7,1,4]
[2,5,3,7,1,6,8,4]=>[8,2,7,5,3,1,6,4]
[1,5,3,7,2,6,4,8]=>[1,6,7,5,3,2,4,8]
[1,6,7,3,2,5,4,8]=>[1,3,5,7,2,6,4,8]
[2,6,7,3,1,5,8,4]=>[3,2,8,7,1,6,5,4]
[3,6,7,2,1,8,5,4]=>[2,5,3,8,7,6,1,4]
[4,6,7,2,8,1,5,3]=>[5,8,7,4,2,6,1,3]
[5,6,7,8,2,1,4,3]=>[2,4,8,1,5,6,7,3]
[7,8,5,6,2,1,4,3]=>[2,4,6,1,8,5,7,3]
[6,5,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,4]
[5,4,1,8,7,2,3,6]=>[7,4,1,5,2,3,8,6]
[6,4,8,1,7,2,3,5]=>[7,8,1,6,4,2,3,5]
[7,8,3,1,2,6,4,5]=>[3,1,6,8,2,4,7,5]
[5,3,1,8,2,7,4,6]=>[7,3,8,5,1,2,4,6]
[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]=>[2,7,5,1,3,8,4,6]
[6,2,8,1,3,4,7,5]=>[7,8,2,1,6,3,4,5]
[7,8,2,1,3,4,6,5]=>[2,6,1,3,8,4,7,5]
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Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
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(pi): """ sage: pi = Permutation([4,1,2,7,9,6,5,8,3]) sage: phi(pi) [8, 1, 4, 2, 6, 9, 7, 5, 3] sage: pi = Permutation([1,7,4,5,8,6,2,9,3]) sage: phi(pi) [1, 9, 6, 8, 4, 7, 5, 2, 3] """ pi = Permutation(pi) if not pi: return pi f = sorted([pi[i] for i in range(1, len(pi)) if pi[i-1] > pi[i]]) g = sorted([pi[i] for i in range(len(pi)) if not i or pi[i-1] <= pi[i]]) f1 = sorted([pi[i-1] for i in range(1, len(pi)) if pi[i-1] > pi[i]]) g1 = sorted([pi[i-1] for i in range(1, len(pi)+1) if i == len(pi) or pi[i-1] <= pi[i]]) runs = pi.decreasing_runs() e = [] for r in range(len(runs)): for v in runs[r]: e.append(sum(1 for s in range(r+1, len(runs)) if runs[s][0] >= v > runs[s][-1])) pi_inv = pi.inverse() f2 = [None]*len(f1) for a in f1: k = e[pi_inv(a)-1] j = 0 while True: if f2[j] is None: if not k: f2[j] = a break k -= 1 j += 1 g2 = [None]*len(g1) for b in reversed(g1): k = e[pi_inv(b)-1] j = 0 while True: if g2[j] is None: if not k: g2[j] = b break k -= 1 j += 1 g2 = g2[::-1] t = sorted(list(zip(f, f2)) + list(zip(g, g2))) return Permutation(v for _, v in t)
Weight
26
Created
Sep 20, 2021 at 22:52 by Martin Rubey
Updated
Sep 20, 2021 at 22:52 by Martin Rubey
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