Identifier
Images
=>
[]=>[]
[1]=>[1]
[1,2]=>[2,1]
[2,1]=>[1,2]
[1,2,3]=>[3,2,1]
[1,3,2]=>[2,3,1]
[2,1,3]=>[3,1,2]
[2,3,1]=>[1,3,2]
[3,1,2]=>[2,1,3]
[3,2,1]=>[1,2,3]
[1,2,3,4]=>[4,3,2,1]
[1,2,4,3]=>[3,4,2,1]
[1,3,2,4]=>[4,2,3,1]
[1,3,4,2]=>[2,4,3,1]
[1,4,2,3]=>[3,2,4,1]
[1,4,3,2]=>[2,3,4,1]
[2,1,3,4]=>[4,3,1,2]
[2,1,4,3]=>[3,4,1,2]
[2,3,1,4]=>[4,1,3,2]
[2,3,4,1]=>[1,4,3,2]
[2,4,1,3]=>[3,1,4,2]
[2,4,3,1]=>[1,3,4,2]
[3,1,2,4]=>[4,2,1,3]
[3,1,4,2]=>[2,4,1,3]
[3,2,1,4]=>[4,1,2,3]
[3,2,4,1]=>[1,4,2,3]
[3,4,1,2]=>[2,1,4,3]
[3,4,2,1]=>[1,2,4,3]
[4,1,2,3]=>[3,2,1,4]
[4,1,3,2]=>[2,3,1,4]
[4,2,1,3]=>[3,1,2,4]
[4,2,3,1]=>[1,3,2,4]
[4,3,1,2]=>[2,1,3,4]
[4,3,2,1]=>[1,2,3,4]
[1,2,3,4,5]=>[5,4,3,2,1]
[1,2,3,5,4]=>[4,5,3,2,1]
[1,2,4,3,5]=>[5,3,4,2,1]
[1,2,4,5,3]=>[3,5,4,2,1]
[1,2,5,3,4]=>[4,3,5,2,1]
[1,2,5,4,3]=>[3,4,5,2,1]
[1,3,2,4,5]=>[5,4,2,3,1]
[1,3,2,5,4]=>[4,5,2,3,1]
[1,3,4,2,5]=>[5,2,4,3,1]
[1,3,4,5,2]=>[2,5,4,3,1]
[1,3,5,2,4]=>[4,2,5,3,1]
[1,3,5,4,2]=>[2,4,5,3,1]
[1,4,2,3,5]=>[5,3,2,4,1]
[1,4,2,5,3]=>[3,5,2,4,1]
[1,4,3,2,5]=>[5,2,3,4,1]
[1,4,3,5,2]=>[2,5,3,4,1]
[1,4,5,2,3]=>[3,2,5,4,1]
[1,4,5,3,2]=>[2,3,5,4,1]
[1,5,2,3,4]=>[4,3,2,5,1]
[1,5,2,4,3]=>[3,4,2,5,1]
[1,5,3,2,4]=>[4,2,3,5,1]
[1,5,3,4,2]=>[2,4,3,5,1]
[1,5,4,2,3]=>[3,2,4,5,1]
[1,5,4,3,2]=>[2,3,4,5,1]
[2,1,3,4,5]=>[5,4,3,1,2]
[2,1,3,5,4]=>[4,5,3,1,2]
[2,1,4,3,5]=>[5,3,4,1,2]
[2,1,4,5,3]=>[3,5,4,1,2]
[2,1,5,3,4]=>[4,3,5,1,2]
[2,1,5,4,3]=>[3,4,5,1,2]
[2,3,1,4,5]=>[5,4,1,3,2]
[2,3,1,5,4]=>[4,5,1,3,2]
[2,3,4,1,5]=>[5,1,4,3,2]
[2,3,4,5,1]=>[1,5,4,3,2]
[2,3,5,1,4]=>[4,1,5,3,2]
[2,3,5,4,1]=>[1,4,5,3,2]
[2,4,1,3,5]=>[5,3,1,4,2]
[2,4,1,5,3]=>[3,5,1,4,2]
[2,4,3,1,5]=>[5,1,3,4,2]
[2,4,3,5,1]=>[1,5,3,4,2]
[2,4,5,1,3]=>[3,1,5,4,2]
[2,4,5,3,1]=>[1,3,5,4,2]
[2,5,1,3,4]=>[4,3,1,5,2]
[2,5,1,4,3]=>[3,4,1,5,2]
[2,5,3,1,4]=>[4,1,3,5,2]
[2,5,3,4,1]=>[1,4,3,5,2]
[2,5,4,1,3]=>[3,1,4,5,2]
[2,5,4,3,1]=>[1,3,4,5,2]
[3,1,2,4,5]=>[5,4,2,1,3]
[3,1,2,5,4]=>[4,5,2,1,3]
[3,1,4,2,5]=>[5,2,4,1,3]
[3,1,4,5,2]=>[2,5,4,1,3]
[3,1,5,2,4]=>[4,2,5,1,3]
[3,1,5,4,2]=>[2,4,5,1,3]
[3,2,1,4,5]=>[5,4,1,2,3]
[3,2,1,5,4]=>[4,5,1,2,3]
[3,2,4,1,5]=>[5,1,4,2,3]
[3,2,4,5,1]=>[1,5,4,2,3]
[3,2,5,1,4]=>[4,1,5,2,3]
[3,2,5,4,1]=>[1,4,5,2,3]
[3,4,1,2,5]=>[5,2,1,4,3]
[3,4,1,5,2]=>[2,5,1,4,3]
[3,4,2,1,5]=>[5,1,2,4,3]
[3,4,2,5,1]=>[1,5,2,4,3]
[3,4,5,1,2]=>[2,1,5,4,3]
[3,4,5,2,1]=>[1,2,5,4,3]
[3,5,1,2,4]=>[4,2,1,5,3]
[3,5,1,4,2]=>[2,4,1,5,3]
[3,5,2,1,4]=>[4,1,2,5,3]
[3,5,2,4,1]=>[1,4,2,5,3]
[3,5,4,1,2]=>[2,1,4,5,3]
[3,5,4,2,1]=>[1,2,4,5,3]
[4,1,2,3,5]=>[5,3,2,1,4]
[4,1,2,5,3]=>[3,5,2,1,4]
[4,1,3,2,5]=>[5,2,3,1,4]
[4,1,3,5,2]=>[2,5,3,1,4]
[4,1,5,2,3]=>[3,2,5,1,4]
[4,1,5,3,2]=>[2,3,5,1,4]
[4,2,1,3,5]=>[5,3,1,2,4]
[4,2,1,5,3]=>[3,5,1,2,4]
[4,2,3,1,5]=>[5,1,3,2,4]
[4,2,3,5,1]=>[1,5,3,2,4]
[4,2,5,1,3]=>[3,1,5,2,4]
[4,2,5,3,1]=>[1,3,5,2,4]
[4,3,1,2,5]=>[5,2,1,3,4]
[4,3,1,5,2]=>[2,5,1,3,4]
[4,3,2,1,5]=>[5,1,2,3,4]
[4,3,2,5,1]=>[1,5,2,3,4]
[4,3,5,1,2]=>[2,1,5,3,4]
[4,3,5,2,1]=>[1,2,5,3,4]
[4,5,1,2,3]=>[3,2,1,5,4]
[4,5,1,3,2]=>[2,3,1,5,4]
[4,5,2,1,3]=>[3,1,2,5,4]
[4,5,2,3,1]=>[1,3,2,5,4]
[4,5,3,1,2]=>[2,1,3,5,4]
[4,5,3,2,1]=>[1,2,3,5,4]
[5,1,2,3,4]=>[4,3,2,1,5]
[5,1,2,4,3]=>[3,4,2,1,5]
[5,1,3,2,4]=>[4,2,3,1,5]
[5,1,3,4,2]=>[2,4,3,1,5]
[5,1,4,2,3]=>[3,2,4,1,5]
[5,1,4,3,2]=>[2,3,4,1,5]
[5,2,1,3,4]=>[4,3,1,2,5]
[5,2,1,4,3]=>[3,4,1,2,5]
[5,2,3,1,4]=>[4,1,3,2,5]
[5,2,3,4,1]=>[1,4,3,2,5]
[5,2,4,1,3]=>[3,1,4,2,5]
[5,2,4,3,1]=>[1,3,4,2,5]
[5,3,1,2,4]=>[4,2,1,3,5]
[5,3,1,4,2]=>[2,4,1,3,5]
[5,3,2,1,4]=>[4,1,2,3,5]
[5,3,2,4,1]=>[1,4,2,3,5]
[5,3,4,1,2]=>[2,1,4,3,5]
[5,3,4,2,1]=>[1,2,4,3,5]
[5,4,1,2,3]=>[3,2,1,4,5]
[5,4,1,3,2]=>[2,3,1,4,5]
[5,4,2,1,3]=>[3,1,2,4,5]
[5,4,2,3,1]=>[1,3,2,4,5]
[5,4,3,1,2]=>[2,1,3,4,5]
[5,4,3,2,1]=>[1,2,3,4,5]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]
[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]
[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]
[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]
[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]
[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]
[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]
[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]
[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]
[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]
[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]
[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]
[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]
[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]
[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]
[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]
[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]
[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]
[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]
[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]
[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]
[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]
[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]
[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]
[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]
[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]
[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]
[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]
[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]
[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]
[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]
[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]
[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]
[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]
[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]
[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]
[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]
[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]
[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]
[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]
[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]
[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]
[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]
[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]
[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]
[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]
[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]
[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]
[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]
[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]
[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]
[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]
[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]
[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]
[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]
[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]
[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]
[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]
[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]
[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]
[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]
[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]
[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]
[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]
[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]
[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]
[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]
[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]
[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]
[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]
[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]
[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]
[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]
[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]
[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]
[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]
[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]
[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]
[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]
[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]
[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]
[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]
[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]
[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]
[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]
[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]
[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]
[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]
[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]
[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]
[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]
[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]
[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]
[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]
[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]
[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]
[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]
[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]
[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]
[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]
[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]
[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]
[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]
[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]
[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]
[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]
[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]
[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]
[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]
[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]
[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]
[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]
[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]
[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]
[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]
[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]
[7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]
[7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]
[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]
[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]
[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]
[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]
[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]
[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]
[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]
[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]
[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]
[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]
[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]
[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]
[8,5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5,8]
[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]
[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]
[7,5,6,8,3,4,2,1]=>[1,2,4,3,8,6,5,7]
[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]
[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]
[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]
[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]
[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]
[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]
[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]
[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]
[7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]
[8,6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6,8]
[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]
[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]
[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]
[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]
[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]
[7,8,4,5,3,6,2,1]=>[1,2,6,3,5,4,8,7]
[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]
[7,8,5,3,4,6,2,1]=>[1,2,6,4,3,5,8,7]
[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]
[7,8,4,3,5,6,2,1]=>[1,2,6,5,3,4,8,7]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]
[7,8,3,4,5,6,2,1]=>[1,2,6,5,4,3,8,7]
[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]
[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]
[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]
[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]
[8,4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4,8]
[8,6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6,8]
[8,5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5,8]
[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]
[8,6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6,8]
[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]
[8,4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4,8]
[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]
[8,4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4,8]
[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]
[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]
[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]
[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]
[6,5,7,4,3,8,2,1]=>[1,2,8,3,4,7,5,6]
[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]
[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]
[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]
[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]
[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]
[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]
[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]
[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]
[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]
[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]
[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]
[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]
[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]
[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]
[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]
[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]
[6,7,4,3,5,8,2,1]=>[1,2,8,5,3,4,7,6]
[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]
[6,7,3,4,5,8,2,1]=>[1,2,8,5,4,3,7,6]
[7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]
[7,4,5,3,6,8,2,1]=>[1,2,8,6,3,5,4,7]
[7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]
[7,4,3,5,6,8,2,1]=>[1,2,8,6,5,3,4,7]
[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]
[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]
[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]
[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]
[5,4,6,3,7,8,2,1]=>[1,2,8,7,3,6,4,5]
[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]
[6,5,3,4,7,8,2,1]=>[1,2,8,7,4,3,5,6]
[5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]
[6,4,3,5,7,8,2,1]=>[1,2,8,7,5,3,4,6]
[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]
[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]
[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]
[5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]
[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]
[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]
[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]
[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]
[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]
[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]
[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]
[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]
[8,6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6,8]
[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]
[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]
[6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]
[7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]
[6,5,7,8,4,2,3,1]=>[1,3,2,4,8,7,5,6]
[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]
[7,8,6,4,5,2,3,1]=>[1,3,2,5,4,6,8,7]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]
[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]
[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]
[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]
[7,8,5,4,6,2,3,1]=>[1,3,2,6,4,5,8,7]
[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]
[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]
[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]
[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]
[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]
[8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]
[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]
[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]
[6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]
[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]
[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]
[5,6,7,4,8,2,3,1]=>[1,3,2,8,4,7,6,5]
[7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]
[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]
[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]
[7,4,5,6,8,2,3,1]=>[1,3,2,8,6,5,4,7]
[6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]
[5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]
[6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]
[5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]
[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]
[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]
[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]
[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]
[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]
[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]
[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]
[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]
[8,5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5,8]
[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]
[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]
[7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]
[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]
[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]
[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]
[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]
[7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]
[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]
[8,7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7,8]
[7,8,5,6,2,3,4,1]=>[1,4,3,2,6,5,8,7]
[8,6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6,8]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]
[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]
[6,7,5,8,2,3,4,1]=>[1,4,3,2,8,5,7,6]
[7,5,6,8,2,3,4,1]=>[1,4,3,2,8,6,5,7]
[6,5,7,8,2,3,4,1]=>[1,4,3,2,8,7,5,6]
[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]
[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]
[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]
[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]
[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]
[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]
[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]
[7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]
[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]
[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]
[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]
[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]
[7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]
[8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]
[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]
[6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]
[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]
[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]
[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]
[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]
[6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]
[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]
[7,8,6,2,3,4,5,1]=>[1,5,4,3,2,6,8,7]
[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]
[7,6,8,2,3,4,5,1]=>[1,5,4,3,2,8,6,7]
[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]
[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]
[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]
[8,7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7,8]
[7,8,4,5,3,2,6,1]=>[1,6,2,3,5,4,8,7]
[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]
[7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]
[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]
[7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]
[8,7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7,8]
[7,8,3,4,5,2,6,1]=>[1,6,2,5,4,3,8,7]
[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]
[7,8,5,4,2,3,6,1]=>[1,6,3,2,4,5,8,7]
[8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]
[7,8,4,5,2,3,6,1]=>[1,6,3,2,5,4,8,7]
[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]
[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]
[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]
[7,8,5,2,3,4,6,1]=>[1,6,4,3,2,5,8,7]
[8,7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7,8]
[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]
[8,7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7,8]
[7,8,3,4,2,5,6,1]=>[1,6,5,2,4,3,8,7]
[8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]
[7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]
[8,7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7,8]
[7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]
[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]
[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]
[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]
[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]
[8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]
[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]
[8,4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4,8]
[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]
[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]
[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]
[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]
[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]
[8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]
[8,4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4,8]
[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]
[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]
[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]
[8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]
[8,5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5,8]
[8,4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4,8]
[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]
[8,5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5,8]
[8,6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6,8]
[8,5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5,8]
[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]
[8,6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6,8]
[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]
[8,6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6,8]
[8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]
[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]
[8,4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4,8]
[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]
[8,4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4,8]
[8,3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3,8]
[8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]
[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]
[8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]
[8,5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5,8]
[8,4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4,8]
[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]
[8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]
[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]
[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]
[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]
[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]
[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]
[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]
[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]
[6,7,4,5,3,2,8,1]=>[1,8,2,3,5,4,7,6]
[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]
[7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]
[6,5,4,7,3,2,8,1]=>[1,8,2,3,7,4,5,6]
[5,6,4,7,3,2,8,1]=>[1,8,2,3,7,4,6,5]
[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]
[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]
[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]
[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]
[6,7,5,3,4,2,8,1]=>[1,8,2,4,3,5,7,6]
[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]
[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]
[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]
[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]
[6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]
[7,6,3,4,5,2,8,1]=>[1,8,2,5,4,3,6,7]
[6,7,3,4,5,2,8,1]=>[1,8,2,5,4,3,7,6]
[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]
[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]
[7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]
[7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]
[7,3,4,5,6,2,8,1]=>[1,8,2,6,5,4,3,7]
[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]
[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]
[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]
[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]
[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]
[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]
[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]
[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]
[6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]
[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]
[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]
[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]
[4,3,5,6,7,2,8,1]=>[1,8,2,7,6,5,3,4]
[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]
[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]
[6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]
[7,5,6,4,2,3,8,1]=>[1,8,3,2,4,6,5,7]
[6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]
[5,6,7,4,2,3,8,1]=>[1,8,3,2,4,7,6,5]
[7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]
[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]
[7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]
[7,4,5,6,2,3,8,1]=>[1,8,3,2,6,5,4,7]
[6,5,4,7,2,3,8,1]=>[1,8,3,2,7,4,5,6]
[5,6,4,7,2,3,8,1]=>[1,8,3,2,7,4,6,5]
[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]
[5,4,6,7,2,3,8,1]=>[1,8,3,2,7,6,4,5]
[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]
[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]
[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]
[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]
[6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]
[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]
[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]
[6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]
[7,5,6,2,3,4,8,1]=>[1,8,4,3,2,6,5,7]
[6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]
[5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]
[7,6,4,3,2,5,8,1]=>[1,8,5,2,3,4,6,7]
[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]
[7,6,3,4,2,5,8,1]=>[1,8,5,2,4,3,6,7]
[6,7,3,4,2,5,8,1]=>[1,8,5,2,4,3,7,6]
[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]
[6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]
[7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]
[6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]
[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]
[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]
[7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]
[7,4,5,3,2,6,8,1]=>[1,8,6,2,3,5,4,7]
[7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]
[7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]
[7,3,4,5,2,6,8,1]=>[1,8,6,2,5,4,3,7]
[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]
[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]
[7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]
[7,5,2,3,4,6,8,1]=>[1,8,6,4,3,2,5,7]
[7,4,3,2,5,6,8,1]=>[1,8,6,5,2,3,4,7]
[7,3,4,2,5,6,8,1]=>[1,8,6,5,2,4,3,7]
[7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]
[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]
[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]
[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]
[5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]
[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]
[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]
[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]
[6,5,3,4,2,7,8,1]=>[1,8,7,2,4,3,5,6]
[5,6,3,4,2,7,8,1]=>[1,8,7,2,4,3,6,5]
[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]
[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]
[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]
[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]
[5,3,4,6,2,7,8,1]=>[1,8,7,2,6,4,3,5]
[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]
[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]
[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]
[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]
[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]
[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]
[4,5,6,2,3,7,8,1]=>[1,8,7,3,2,6,5,4]
[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]
[5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]
[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]
[5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]
[6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]
[6,3,4,2,5,7,8,1]=>[1,8,7,5,2,4,3,6]
[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]
[6,3,2,4,5,7,8,1]=>[1,8,7,5,4,2,3,6]
[6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]
[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]
[4,5,3,2,6,7,8,1]=>[1,8,7,6,2,3,5,4]
[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]
[4,3,5,2,6,7,8,1]=>[1,8,7,6,2,5,3,4]
[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]
[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]
[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]
[5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]
[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]
[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]
[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]
[4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]
[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]
[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]
[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]
[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]
[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]
[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]
[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]
[8,5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5,8]
[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]
[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]
[7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]
[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]
[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]
[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]
[8,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,8]
[7,6,8,4,5,3,1,2]=>[2,1,3,5,4,8,6,7]
[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]
[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]
[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]
[8,7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7,8]
[7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]
[8,6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6,8]
[8,5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5,8]
[8,6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6,8]
[8,5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5,8]
[8,4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4,8]
[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]
[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]
[7,5,6,4,8,3,1,2]=>[2,1,3,8,4,6,5,7]
[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]
[5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]
[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]
[6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]
[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]
[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]
[6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]
[5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]
[6,4,5,7,8,3,1,2]=>[2,1,3,8,7,5,4,6]
[5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]
[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]
[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]
[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]
[8,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,8]
[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]
[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]
[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]
[8,6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6,8]
[8,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,8]
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]
[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]
[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]
[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]
[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]
[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]
[8,6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6,8]
[7,6,8,4,3,5,1,2]=>[2,1,5,3,4,8,6,7]
[6,7,8,4,3,5,1,2]=>[2,1,5,3,4,8,7,6]
[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]
[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]
[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]
[7,6,8,3,4,5,1,2]=>[2,1,5,4,3,8,6,7]
[6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]
[8,7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7,8]
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]
[8,7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7,8]
[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]
[8,7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7,8]
[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]
[8,7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7,8]
[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]
[8,7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7,8]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]
[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]
[8,5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5,8]
[8,6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6,8]
[8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]
[8,4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4,8]
[8,6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6,8]
[8,5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5,8]
[8,6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6,8]
[8,6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6,8]
[8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]
[8,4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4,8]
[8,5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5,8]
[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]
[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]
[6,7,5,4,3,8,1,2]=>[2,1,8,3,4,5,7,6]
[7,5,6,4,3,8,1,2]=>[2,1,8,3,4,6,5,7]
[6,5,7,4,3,8,1,2]=>[2,1,8,3,4,7,5,6]
[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]
[7,6,4,5,3,8,1,2]=>[2,1,8,3,5,4,6,7]
[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]
[7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]
[7,4,5,6,3,8,1,2]=>[2,1,8,3,6,5,4,7]
[6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]
[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]
[6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]
[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]
[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]
[7,6,5,3,4,8,1,2]=>[2,1,8,4,3,5,6,7]
[6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]
[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]
[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]
[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]
[7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]
[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]
[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]
[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]
[7,5,4,3,6,8,1,2]=>[2,1,8,6,3,4,5,7]
[7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]
[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]
[7,4,3,5,6,8,1,2]=>[2,1,8,6,5,3,4,7]
[7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]
[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]
[5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]
[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]
[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]
[4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]
[6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]
[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]
[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]
[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]
[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]
[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]
[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]
[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]
[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]
[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]
[6,7,8,5,4,2,1,3]=>[3,1,2,4,5,8,7,6]
[8,7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7,8]
[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]
[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]
[8,5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5,8]
[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]
[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]
[7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]
[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]
[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]
[8,7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7,8]
[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]
[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]
[7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7]
[6,7,8,4,5,2,1,3]=>[3,1,2,5,4,8,7,6]
[8,7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7,8]
[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]
[8,7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7,8]
[7,8,4,5,6,2,1,3]=>[3,1,2,6,5,4,8,7]
[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]
[8,5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5,8]
[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]
[8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]
[8,4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4,8]
[7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]
[6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]
[7,5,6,4,8,2,1,3]=>[3,1,2,8,4,6,5,7]
[6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]
[5,6,7,4,8,2,1,3]=>[3,1,2,8,4,7,6,5]
[7,6,4,5,8,2,1,3]=>[3,1,2,8,5,4,6,7]
[6,7,4,5,8,2,1,3]=>[3,1,2,8,5,4,7,6]
[7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]
[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]
[6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]
[5,6,4,7,8,2,1,3]=>[3,1,2,8,7,4,6,5]
[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]
[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]
[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]
[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]
[8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]
[7,6,8,5,4,1,2,3]=>[3,2,1,4,5,8,6,7]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]
[8,7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7,8]
[7,8,5,6,4,1,2,3]=>[3,2,1,4,6,5,8,7]
[8,6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6,8]
[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]
[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]
[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]
[7,5,6,8,4,1,2,3]=>[3,2,1,4,8,6,5,7]
[6,5,7,8,4,1,2,3]=>[3,2,1,4,8,7,5,6]
[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]
[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]
[7,8,6,4,5,1,2,3]=>[3,2,1,5,4,6,8,7]
[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]
[7,6,8,4,5,1,2,3]=>[3,2,1,5,4,8,6,7]
[6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]
[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]
[7,8,5,4,6,1,2,3]=>[3,2,1,6,4,5,8,7]
[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]
[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]
[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]
[8,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,8]
[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]
[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]
[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]
[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]
[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]
[7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]
[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]
[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]
[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]
[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]
[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]
[7,4,5,6,8,1,2,3]=>[3,2,1,8,6,5,4,7]
[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]
[5,6,4,7,8,1,2,3]=>[3,2,1,8,7,4,6,5]
[6,4,5,7,8,1,2,3]=>[3,2,1,8,7,5,4,6]
[5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]
[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]
[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]
[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]
[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]
[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]
[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]
[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]
[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]
[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]
[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]
[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]
[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]
[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]
[7,8,6,5,2,3,1,4]=>[4,1,3,2,5,6,8,7]
[8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]
[7,6,8,5,2,3,1,4]=>[4,1,3,2,5,8,6,7]
[6,7,8,5,2,3,1,4]=>[4,1,3,2,5,8,7,6]
[8,7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7,8]
[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]
[8,6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6,8]
[8,5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5,8]
[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]
[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]
[6,5,7,8,2,3,1,4]=>[4,1,3,2,8,7,5,6]
[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]
[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]
[7,8,6,5,3,1,2,4]=>[4,2,1,3,5,6,8,7]
[8,6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6,8]
[7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]
[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]
[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]
[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]
[8,6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6,8]
[8,5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5,8]
[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]
[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]
[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]
[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]
[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]
[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]
[8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]
[7,6,8,5,2,1,3,4]=>[4,3,1,2,5,8,6,7]
[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]
[8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]
[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]
[8,6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6,8]
[8,5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5,8]
[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]
[6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]
[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]
[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]
[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]
[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]
[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]
[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]
[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]
[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]
[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]
[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]
[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]
[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]
[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]
[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]
[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]
[8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8]
[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]
[6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]
[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]
[7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]
[8,6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6,8]
[7,6,8,3,4,2,1,5]=>[5,1,2,4,3,8,6,7]
[6,7,8,3,4,2,1,5]=>[5,1,2,4,3,8,7,6]
[8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]
[7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]
[8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]
[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]
[6,7,8,4,2,3,1,5]=>[5,1,3,2,4,8,7,6]
[8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]
[7,8,6,3,2,4,1,5]=>[5,1,4,2,3,6,8,7]
[8,6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6,8]
[7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]
[6,7,8,3,2,4,1,5]=>[5,1,4,2,3,8,7,6]
[8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]
[7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]
[8,6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6,8]
[7,6,8,2,3,4,1,5]=>[5,1,4,3,2,8,6,7]
[6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]
[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]
[7,8,6,4,3,1,2,5]=>[5,2,1,3,4,6,8,7]
[8,6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6,8]
[7,6,8,4,3,1,2,5]=>[5,2,1,3,4,8,6,7]
[6,7,8,4,3,1,2,5]=>[5,2,1,3,4,8,7,6]
[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]
[7,8,6,3,4,1,2,5]=>[5,2,1,4,3,6,8,7]
[8,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,8]
[7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]
[6,7,8,3,4,1,2,5]=>[5,2,1,4,3,8,7,6]
[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]
[7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]
[8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]
[7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]
[6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]
[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]
[7,8,6,4,1,2,3,5]=>[5,3,2,1,4,6,8,7]
[8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]
[7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]
[6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]
[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]
[7,8,6,3,2,1,4,5]=>[5,4,1,2,3,6,8,7]
[8,6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6,8]
[7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]
[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]
[8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]
[7,8,6,2,3,1,4,5]=>[5,4,1,3,2,6,8,7]
[8,6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6,8]
[7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]
[6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]
[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]
[7,8,6,3,1,2,4,5]=>[5,4,2,1,3,6,8,7]
[8,6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6,8]
[7,6,8,3,1,2,4,5]=>[5,4,2,1,3,8,6,7]
[6,7,8,3,1,2,4,5]=>[5,4,2,1,3,8,7,6]
[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]
[7,8,6,2,1,3,4,5]=>[5,4,3,1,2,6,8,7]
[8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]
[7,6,8,2,1,3,4,5]=>[5,4,3,1,2,8,6,7]
[6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]
[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]
[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]
[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]
[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]
[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]
[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]
[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]
[7,8,4,5,3,2,1,6]=>[6,1,2,3,5,4,8,7]
[8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]
[7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]
[8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]
[7,8,4,3,5,2,1,6]=>[6,1,2,5,3,4,8,7]
[8,7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7,8]
[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]
[8,7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7,8]
[7,8,5,4,2,3,1,6]=>[6,1,3,2,4,5,8,7]
[8,7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7,8]
[7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]
[8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]
[7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]
[8,7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7,8]
[7,8,5,2,3,4,1,6]=>[6,1,4,3,2,5,8,7]
[8,7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7,8]
[7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]
[8,7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7,8]
[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]
[8,7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7,8]
[7,8,4,2,3,5,1,6]=>[6,1,5,3,2,4,8,7]
[8,7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7,8]
[7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]
[8,7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7,8]
[7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]
[8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]
[7,8,5,4,3,1,2,6]=>[6,2,1,3,4,5,8,7]
[8,7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7,8]
[7,8,4,5,3,1,2,6]=>[6,2,1,3,5,4,8,7]
[8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]
[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]
[8,7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7,8]
[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]
[8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]
[7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]
[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]
[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]
[8,7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7,8]
[7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]
[8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]
[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]
[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]
[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]
[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]
[7,8,5,3,2,1,4,6]=>[6,4,1,2,3,5,8,7]
[8,7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7,8]
[7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]
[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]
[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]
[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]
[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]
[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]
[7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]
[8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8]
[7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]
[8,7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7,8]
[7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]
[8,7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7,8]
[7,8,4,2,3,1,5,6]=>[6,5,1,3,2,4,8,7]
[8,7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7,8]
[7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]
[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]
[7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]
[8,7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7,8]
[7,8,4,3,1,2,5,6]=>[6,5,2,1,3,4,8,7]
[8,7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7,8]
[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]
[8,7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7,8]
[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]
[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]
[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]
[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]
[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]
[8,7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7,8]
[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]
[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]
[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]
[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]
[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]
[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]
[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]
[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]
[8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]
[8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]
[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]
[8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]
[8,5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5,8]
[8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]
[8,6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6,8]
[8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]
[8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]
[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]
[8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]
[8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]
[8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]
[8,5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5,8]
[8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]
[8,5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5,8]
[8,4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4,8]
[8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]
[8,5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5,8]
[8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]
[8,5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5,8]
[8,6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6,8]
[8,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,8]
[8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]
[8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]
[8,6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6,8]
[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]
[8,4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4,8]
[8,5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5,8]
[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]
[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]
[8,5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5,8]
[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]
[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]
[8,5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5,8]
[8,4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4,8]
[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]
[8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]
[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]
[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]
[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]
[8,5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5,8]
[8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]
[8,5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5,8]
[8,4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4,8]
[8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]
[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]
[8,6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6,8]
[8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]
[8,5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5,8]
[8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]
[8,5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5,8]
[8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]
[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]
[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]
[8,5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5,8]
[8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]
[8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]
[8,4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4,8]
[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]
[8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]
[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]
[8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]
[8,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,8]
[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]
[8,5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5,8]
[8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]
[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]
[8,6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6,8]
[8,5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5,8]
[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]
[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]
[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]
[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]
[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]
[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]
[8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]
[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]
[8,6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6,8]
[8,6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6,8]
[8,6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6,8]
[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]
[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]
[8,6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6,8]
[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]
[8,6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6,8]
[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]
[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]
[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]
[8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]
[8,5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5,8]
[8,4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4,8]
[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]
[8,5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5,8]
[8,4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4,8]
[8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]
[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]
[8,4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4,8]
[8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]
[8,4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4,8]
[8,3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3,8]
[8,2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2,8]
[8,5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5,8]
[8,4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4,8]
[8,5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5,8]
[8,4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4,8]
[8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]
[8,5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5,8]
[8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]
[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]
[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]
[8,5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5,8]
[8,5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5,8]
[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]
[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]
[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]
[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]
[8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]
[8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]
[8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]
[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]
[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]
[8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]
[8,4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4,8]
[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]
[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]
[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]
[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]
[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]
[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]
[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]
[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]
[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]
[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]
[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]
[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]
[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]
[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]
[5,6,4,7,3,2,1,8]=>[8,1,2,3,7,4,6,5]
[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]
[5,4,6,7,3,2,1,8]=>[8,1,2,3,7,6,4,5]
[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]
[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]
[6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]
[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]
[6,5,7,3,4,2,1,8]=>[8,1,2,4,3,7,5,6]
[5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]
[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]
[6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]
[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]
[6,7,3,4,5,2,1,8]=>[8,1,2,5,4,3,7,6]
[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]
[7,4,5,3,6,2,1,8]=>[8,1,2,6,3,5,4,7]
[7,5,3,4,6,2,1,8]=>[8,1,2,6,4,3,5,7]
[7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]
[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]
[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]
[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]
[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]
[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]
[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]
[6,5,3,4,7,2,1,8]=>[8,1,2,7,4,3,5,6]
[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]
[6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]
[6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]
[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]
[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]
[5,3,4,6,7,2,1,8]=>[8,1,2,7,6,4,3,5]
[4,3,5,6,7,2,1,8]=>[8,1,2,7,6,5,3,4]
[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]
[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]
[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]
[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]
[6,5,7,4,2,3,1,8]=>[8,1,3,2,4,7,5,6]
[5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]
[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]
[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]
[7,5,4,6,2,3,1,8]=>[8,1,3,2,6,4,5,7]
[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]
[6,5,4,7,2,3,1,8]=>[8,1,3,2,7,4,5,6]
[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]
[6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]
[5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]
[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]
[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]
[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]
[7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]
[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]
[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]
[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]
[6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]
[7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]
[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]
[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]
[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]
[6,7,4,3,2,5,1,8]=>[8,1,5,2,3,4,7,6]
[7,6,3,4,2,5,1,8]=>[8,1,5,2,4,3,6,7]
[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]
[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]
[6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]
[7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]
[6,7,3,2,4,5,1,8]=>[8,1,5,4,2,3,7,6]
[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]
[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]
[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]
[7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]
[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]
[7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]
[7,3,4,5,2,6,1,8]=>[8,1,6,2,5,4,3,7]
[7,5,4,2,3,6,1,8]=>[8,1,6,3,2,4,5,7]
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]
[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]
[7,5,2,3,4,6,1,8]=>[8,1,6,4,3,2,5,7]
[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]
[7,3,4,2,5,6,1,8]=>[8,1,6,5,2,4,3,7]
[7,4,2,3,5,6,1,8]=>[8,1,6,5,3,2,4,7]
[7,3,2,4,5,6,1,8]=>[8,1,6,5,4,2,3,7]
[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]
[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]
[5,6,4,3,2,7,1,8]=>[8,1,7,2,3,4,6,5]
[6,4,5,3,2,7,1,8]=>[8,1,7,2,3,5,4,6]
[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]
[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]
[6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]
[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]
[6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]
[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]
[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]
[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]
[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]
[4,3,5,6,2,7,1,8]=>[8,1,7,2,6,5,3,4]
[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]
[6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]
[5,6,4,2,3,7,1,8]=>[8,1,7,3,2,4,6,5]
[6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]
[5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]
[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]
[6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]
[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]
[6,5,2,3,4,7,1,8]=>[8,1,7,4,3,2,5,6]
[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]
[6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]
[6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]
[6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]
[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]
[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]
[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]
[4,5,3,2,6,7,1,8]=>[8,1,7,6,2,3,5,4]
[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]
[4,3,5,2,6,7,1,8]=>[8,1,7,6,2,5,3,4]
[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]
[5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]
[4,5,2,3,6,7,1,8]=>[8,1,7,6,3,2,5,4]
[5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]
[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]
[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]
[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]
[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]
[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]
[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]
[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]
[6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]
[5,6,7,4,3,1,2,8]=>[8,2,1,3,4,7,6,5]
[7,6,4,5,3,1,2,8]=>[8,2,1,3,5,4,6,7]
[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]
[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]
[6,5,4,7,3,1,2,8]=>[8,2,1,3,7,4,5,6]
[5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]
[6,4,5,7,3,1,2,8]=>[8,2,1,3,7,5,4,6]
[5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]
[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]
[7,6,5,3,4,1,2,8]=>[8,2,1,4,3,5,6,7]
[6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]
[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]
[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]
[5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]
[7,6,4,3,5,1,2,8]=>[8,2,1,5,3,4,6,7]
[6,7,4,3,5,1,2,8]=>[8,2,1,5,3,4,7,6]
[7,6,3,4,5,1,2,8]=>[8,2,1,5,4,3,6,7]
[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]
[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]
[7,4,5,3,6,1,2,8]=>[8,2,1,6,3,5,4,7]
[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]
[7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]
[7,3,4,5,6,1,2,8]=>[8,2,1,6,5,4,3,7]
[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]
[5,6,4,3,7,1,2,8]=>[8,2,1,7,3,4,6,5]
[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]
[5,4,6,3,7,1,2,8]=>[8,2,1,7,3,6,4,5]
[4,5,6,3,7,1,2,8]=>[8,2,1,7,3,6,5,4]
[6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]
[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]
[6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]
[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]
[5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]
[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]
[5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]
[4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]
[3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]
[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]
[6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]
[7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]
[5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]
[7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]
[6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]
[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]
[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]
[6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]
[5,6,4,7,2,1,3,8]=>[8,3,1,2,7,4,6,5]
[6,4,5,7,2,1,3,8]=>[8,3,1,2,7,5,4,6]
[5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]
[4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]
[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]
[6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]
[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]
[6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]
[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]
[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]
[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]
[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]
[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]
[6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]
[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]
[6,4,5,7,1,2,3,8]=>[8,3,2,1,7,5,4,6]
[5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]
[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]
[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]
[6,7,5,3,2,1,4,8]=>[8,4,1,2,3,5,7,6]
[7,5,6,3,2,1,4,8]=>[8,4,1,2,3,6,5,7]
[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]
[5,6,7,3,2,1,4,8]=>[8,4,1,2,3,7,6,5]
[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]
[6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]
[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]
[6,5,7,2,3,1,4,8]=>[8,4,1,3,2,7,5,6]
[5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]
[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]
[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]
[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]
[6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]
[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]
[7,6,5,2,1,3,4,8]=>[8,4,3,1,2,5,6,7]
[6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]
[7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]
[6,5,7,2,1,3,4,8]=>[8,4,3,1,2,7,5,6]
[5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]
[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]
[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]
[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]
[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]
[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]
[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]
[6,7,4,3,2,1,5,8]=>[8,5,1,2,3,4,7,6]
[7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]
[6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]
[7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]
[6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]
[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]
[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]
[7,6,2,3,4,1,5,8]=>[8,5,1,4,3,2,6,7]
[6,7,2,3,4,1,5,8]=>[8,5,1,4,3,2,7,6]
[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]
[6,7,4,3,1,2,5,8]=>[8,5,2,1,3,4,7,6]
[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]
[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]
[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]
[6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]
[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]
[6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]
[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]
[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]
[7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]
[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]
[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]
[6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]
[7,6,2,1,3,4,5,8]=>[8,5,4,3,1,2,6,7]
[6,7,2,1,3,4,5,8]=>[8,5,4,3,1,2,7,6]
[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]
[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]
[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]
[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]
[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]
[7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]
[7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]
[7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]
[7,4,5,2,3,1,6,8]=>[8,6,1,3,2,5,4,7]
[7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]
[7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]
[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]
[7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]
[7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]
[7,3,2,4,5,1,6,8]=>[8,6,1,5,4,2,3,7]
[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]
[7,5,4,3,1,2,6,8]=>[8,6,2,1,3,4,5,7]
[7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]
[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]
[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]
[7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]
[7,5,4,2,1,3,6,8]=>[8,6,3,1,2,4,5,7]
[7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]
[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]
[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]
[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]
[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]
[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]
[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]
[7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]
[7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]
[7,3,2,4,1,5,6,8]=>[8,6,5,1,4,2,3,7]
[7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]
[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]
[7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]
[7,4,2,1,3,5,6,8]=>[8,6,5,3,1,2,4,7]
[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]
[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]
[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]
[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]
[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]
[6,4,5,3,2,1,7,8]=>[8,7,1,2,3,5,4,6]
[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]
[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]
[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]
[5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]
[6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]
[6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]
[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]
[4,5,3,6,2,1,7,8]=>[8,7,1,2,6,3,5,4]
[5,3,4,6,2,1,7,8]=>[8,7,1,2,6,4,3,5]
[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]
[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]
[6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]
[5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]
[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]
[5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]
[4,5,6,2,3,1,7,8]=>[8,7,1,3,2,6,5,4]
[6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]
[5,6,3,2,4,1,7,8]=>[8,7,1,4,2,3,6,5]
[6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]
[5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]
[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]
[6,3,4,2,5,1,7,8]=>[8,7,1,5,2,4,3,6]
[6,4,2,3,5,1,7,8]=>[8,7,1,5,3,2,4,6]
[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]
[6,2,3,4,5,1,7,8]=>[8,7,1,5,4,3,2,6]
[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]
[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]
[5,3,4,2,6,1,7,8]=>[8,7,1,6,2,4,3,5]
[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]
[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]
[5,4,2,3,6,1,7,8]=>[8,7,1,6,3,2,4,5]
[4,5,2,3,6,1,7,8]=>[8,7,1,6,3,2,5,4]
[5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]
[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]
[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]
[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]
[3,2,4,5,6,1,7,8]=>[8,7,1,6,5,4,2,3]
[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]
[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]
[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]
[6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]
[5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]
[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]
[6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]
[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]
[6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]
[6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]
[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]
[4,5,3,6,1,2,7,8]=>[8,7,2,1,6,3,5,4]
[5,3,4,6,1,2,7,8]=>[8,7,2,1,6,4,3,5]
[4,3,5,6,1,2,7,8]=>[8,7,2,1,6,5,3,4]
[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]
[6,5,4,2,1,3,7,8]=>[8,7,3,1,2,4,5,6]
[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]
[6,4,5,2,1,3,7,8]=>[8,7,3,1,2,5,4,6]
[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]
[4,5,6,2,1,3,7,8]=>[8,7,3,1,2,6,5,4]
[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]
[5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]
[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]
[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]
[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]
[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]
[5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]
[6,5,2,3,1,4,7,8]=>[8,7,4,1,3,2,5,6]
[5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]
[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]
[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]
[6,5,2,1,3,4,7,8]=>[8,7,4,3,1,2,5,6]
[5,6,2,1,3,4,7,8]=>[8,7,4,3,1,2,6,5]
[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]
[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]
[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]
[6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]
[6,4,2,3,1,5,7,8]=>[8,7,5,1,3,2,4,6]
[6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]
[6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]
[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]
[6,3,4,1,2,5,7,8]=>[8,7,5,2,1,4,3,6]
[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]
[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]
[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]
[6,3,1,2,4,5,7,8]=>[8,7,5,4,2,1,3,6]
[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]
[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]
[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]
[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]
[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]
[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]
[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]
[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]
[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]
[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]
[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]
[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]
[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]
[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]
[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]
[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]
[4,5,3,1,2,6,7,8]=>[8,7,6,2,1,3,5,4]
[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]
[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]
[3,4,5,1,2,6,7,8]=>[8,7,6,2,1,5,4,3]
[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]
[4,5,2,1,3,6,7,8]=>[8,7,6,3,1,2,5,4]
[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]
[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]
[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]
[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]
[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]
[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]
[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]
[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]
[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]
[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]
[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]
[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]
[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]
[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]
[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]
[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]
[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]
[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]
[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]
[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]
[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]
[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]
[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]
[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]
[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]
[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]
[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]
[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]
[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]
[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]
[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]
[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]
[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]
[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]
[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]
[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]
[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]
[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]
[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]
[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]
[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]
[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]
[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]
[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]
[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]
[3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]
[3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]
[3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]
[3,6,7,5,8,4,2,1]=>[1,2,4,8,5,7,6,3]
[3,5,7,6,8,4,2,1]=>[1,2,4,8,6,7,5,3]
[3,6,5,7,8,4,2,1]=>[1,2,4,8,7,5,6,3]
[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]
[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]
[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]
[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]
[4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]
[4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]
[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]
[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]
[3,4,6,8,7,5,2,1]=>[1,2,5,7,8,6,4,3]
[3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]
[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]
[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]
[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]
[4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]
[4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]
[3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]
[3,5,4,7,8,6,2,1]=>[1,2,6,8,7,4,5,3]
[4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]
[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]
[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]
[3,4,5,7,8,6,2,1]=>[1,2,6,8,7,5,4,3]
[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]
[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]
[4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]
[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]
[4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]
[3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3]
[3,5,6,4,8,7,2,1]=>[1,2,7,8,4,6,5,3]
[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]
[3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]
[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]
[4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]
[3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]
[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]
[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]
[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]
[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]
[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]
[5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]
[4,5,7,6,3,8,2,1]=>[1,2,8,3,6,7,5,4]
[4,6,5,7,3,8,2,1]=>[1,2,8,3,7,5,6,4]
[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]
[3,6,7,5,4,8,2,1]=>[1,2,8,4,5,7,6,3]
[3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]
[3,6,5,7,4,8,2,1]=>[1,2,8,4,7,5,6,3]
[3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]
[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]
[4,3,6,7,5,8,2,1]=>[1,2,8,5,7,6,3,4]
[3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]
[3,4,6,7,5,8,2,1]=>[1,2,8,5,7,6,4,3]
[5,4,3,7,6,8,2,1]=>[1,2,8,6,7,3,4,5]
[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]
[3,5,4,7,6,8,2,1]=>[1,2,8,6,7,4,5,3]
[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]
[3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]
[4,6,5,3,7,8,2,1]=>[1,2,8,7,3,5,6,4]
[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]
[3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]
[4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]
[3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]
[3,5,4,6,7,8,2,1]=>[1,2,8,7,6,4,5,3]
[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]
[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]
[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]
[2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]
[2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]
[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]
[2,5,7,8,6,4,3,1]=>[1,3,4,6,8,7,5,2]
[2,6,5,8,7,4,3,1]=>[1,3,4,7,8,5,6,2]
[2,5,6,8,7,4,3,1]=>[1,3,4,7,8,6,5,2]
[2,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,2]
[2,6,7,5,8,4,3,1]=>[1,3,4,8,5,7,6,2]
[2,5,7,6,8,4,3,1]=>[1,3,4,8,6,7,5,2]
[2,6,5,7,8,4,3,1]=>[1,3,4,8,7,5,6,2]
[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]
[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]
[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]
[2,4,7,6,8,5,3,1]=>[1,3,5,8,6,7,4,2]
[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]
[2,5,4,8,7,6,3,1]=>[1,3,6,7,8,4,5,2]
[2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]
[2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]
[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]
[2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]
[2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]
[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]
[2,5,4,6,8,7,3,1]=>[1,3,7,8,6,4,5,2]
[2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]
[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]
[2,6,7,5,4,8,3,1]=>[1,3,8,4,5,7,6,2]
[2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]
[2,6,5,7,4,8,3,1]=>[1,3,8,4,7,5,6,2]
[2,5,6,7,4,8,3,1]=>[1,3,8,4,7,6,5,2]
[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]
[2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]
[2,5,4,7,6,8,3,1]=>[1,3,8,6,7,4,5,2]
[2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]
[2,5,6,4,7,8,3,1]=>[1,3,8,7,4,6,5,2]
[2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]
[2,5,4,6,7,8,3,1]=>[1,3,8,7,6,4,5,2]
[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]
[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]
[3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]
[3,2,6,8,7,5,4,1]=>[1,4,5,7,8,6,2,3]
[3,2,7,6,8,5,4,1]=>[1,4,5,8,6,7,2,3]
[3,2,6,7,8,5,4,1]=>[1,4,5,8,7,6,2,3]
[3,2,5,8,7,6,4,1]=>[1,4,6,7,8,5,2,3]
[3,2,5,7,8,6,4,1]=>[1,4,6,8,7,5,2,3]
[3,2,6,5,8,7,4,1]=>[1,4,7,8,5,6,2,3]
[3,2,5,6,8,7,4,1]=>[1,4,7,8,6,5,2,3]
[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]
[3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]
[3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]
[3,2,6,5,7,8,4,1]=>[1,4,8,7,5,6,2,3]
[3,2,5,6,7,8,4,1]=>[1,4,8,7,6,5,2,3]
[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]
[2,3,7,8,6,5,4,1]=>[1,4,5,6,8,7,3,2]
[2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]
[2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]
[2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]
[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]
[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]
[2,3,6,5,8,7,4,1]=>[1,4,7,8,5,6,3,2]
[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]
[2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2]
[2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]
[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]
[2,3,6,5,7,8,4,1]=>[1,4,8,7,5,6,3,2]
[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]
[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]
[4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]
[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]
[4,3,2,7,6,8,5,1]=>[1,5,8,6,7,2,3,4]
[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]
[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]
[3,4,2,7,8,6,5,1]=>[1,5,6,8,7,2,4,3]
[3,4,2,6,8,7,5,1]=>[1,5,7,8,6,2,4,3]
[3,4,2,7,6,8,5,1]=>[1,5,8,6,7,2,4,3]
[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]
[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]
[2,4,3,7,8,6,5,1]=>[1,5,6,8,7,3,4,2]
[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]
[2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]
[2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]
[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]
[3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]
[3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]
[3,2,4,7,6,8,5,1]=>[1,5,8,6,7,4,2,3]
[3,2,4,6,7,8,5,1]=>[1,5,8,7,6,4,2,3]
[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]
[2,3,4,7,8,6,5,1]=>[1,5,6,8,7,4,3,2]
[2,3,4,6,8,7,5,1]=>[1,5,7,8,6,4,3,2]
[2,3,4,7,6,8,5,1]=>[1,5,8,6,7,4,3,2]
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]
[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]
[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]
[4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]
[4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]
[3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]
[3,5,4,2,7,8,6,1]=>[1,6,8,7,2,4,5,3]
[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]
[4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]
[3,4,5,2,8,7,6,1]=>[1,6,7,8,2,5,4,3]
[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]
[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]
[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]
[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]
[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]
[3,2,5,4,8,7,6,1]=>[1,6,7,8,4,5,2,3]
[3,2,5,4,7,8,6,1]=>[1,6,8,7,4,5,2,3]
[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]
[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]
[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]
[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]
[3,4,2,5,8,7,6,1]=>[1,6,7,8,5,2,4,3]
[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]
[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]
[2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]
[3,2,4,5,8,7,6,1]=>[1,6,7,8,5,4,2,3]
[3,2,4,5,7,8,6,1]=>[1,6,8,7,5,4,2,3]
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]
[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]
[5,6,4,3,2,8,7,1]=>[1,7,8,2,3,4,6,5]
[4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]
[5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]
[4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]
[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]
[3,5,6,4,2,8,7,1]=>[1,7,8,2,4,6,5,3]
[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]
[3,4,6,5,2,8,7,1]=>[1,7,8,2,5,6,4,3]
[5,4,3,6,2,8,7,1]=>[1,7,8,2,6,3,4,5]
[4,5,3,6,2,8,7,1]=>[1,7,8,2,6,3,5,4]
[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]
[4,3,5,6,2,8,7,1]=>[1,7,8,2,6,5,3,4]
[3,4,5,6,2,8,7,1]=>[1,7,8,2,6,5,4,3]
[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]
[2,5,6,4,3,8,7,1]=>[1,7,8,3,4,6,5,2]
[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]
[2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]
[2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]
[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]
[3,2,5,6,4,8,7,1]=>[1,7,8,4,6,5,2,3]
[2,3,6,5,4,8,7,1]=>[1,7,8,4,5,6,3,2]
[2,3,5,6,4,8,7,1]=>[1,7,8,4,6,5,3,2]
[4,3,2,6,5,8,7,1]=>[1,7,8,5,6,2,3,4]
[3,4,2,6,5,8,7,1]=>[1,7,8,5,6,2,4,3]
[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]
[3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]
[2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]
[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]
[4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]
[3,5,4,2,6,8,7,1]=>[1,7,8,6,2,4,5,3]
[4,3,5,2,6,8,7,1]=>[1,7,8,6,2,5,3,4]
[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]
[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]
[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]
[3,2,5,4,6,8,7,1]=>[1,7,8,6,4,5,2,3]
[2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]
[4,3,2,5,6,8,7,1]=>[1,7,8,6,5,2,3,4]
[3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]
[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]
[3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]
[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]
[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]
[4,6,7,5,3,2,8,1]=>[1,8,2,3,5,7,6,4]
[5,4,7,6,3,2,8,1]=>[1,8,2,3,6,7,4,5]
[4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]
[4,6,5,7,3,2,8,1]=>[1,8,2,3,7,5,6,4]
[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]
[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]
[3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]
[3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]
[3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]
[4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]
[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]
[3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]
[3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]
[5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]
[4,5,3,7,6,2,8,1]=>[1,8,2,6,7,3,5,4]
[3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]
[4,3,5,7,6,2,8,1]=>[1,8,2,6,7,5,3,4]
[3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]
[4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4]
[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]
[3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]
[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]
[3,4,6,5,7,2,8,1]=>[1,8,2,7,5,6,4,3]
[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]
[2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]
[2,6,7,5,4,3,8,1]=>[1,8,3,4,5,7,6,2]
[2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]
[2,6,5,7,4,3,8,1]=>[1,8,3,4,7,5,6,2]
[2,5,6,7,4,3,8,1]=>[1,8,3,4,7,6,5,2]
[2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]
[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]
[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]
[2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]
[2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]
[2,5,6,4,7,3,8,1]=>[1,8,3,7,4,6,5,2]
[2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]
[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]
[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]
[3,2,7,6,5,4,8,1]=>[1,8,4,5,6,7,2,3]
[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]
[3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]
[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]
[3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]
[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]
[2,3,6,7,5,4,8,1]=>[1,8,4,5,7,6,3,2]
[2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]
[2,3,6,5,7,4,8,1]=>[1,8,4,7,5,6,3,2]
[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]
[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]
[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]
[3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]
[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]
[2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]
[2,4,3,6,7,5,8,1]=>[1,8,5,7,6,3,4,2]
[3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]
[3,2,4,6,7,5,8,1]=>[1,8,5,7,6,4,2,3]
[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]
[2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2]
[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]
[4,5,3,2,7,6,8,1]=>[1,8,6,7,2,3,5,4]
[3,5,4,2,7,6,8,1]=>[1,8,6,7,2,4,5,3]
[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]
[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]
[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]
[2,4,5,3,7,6,8,1]=>[1,8,6,7,3,5,4,2]
[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]
[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]
[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]
[3,4,2,5,7,6,8,1]=>[1,8,6,7,5,2,4,3]
[2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]
[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]
[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]
[4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]
[3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]
[3,5,6,4,2,7,8,1]=>[1,8,7,2,4,6,5,3]
[4,3,6,5,2,7,8,1]=>[1,8,7,2,5,6,3,4]
[3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]
[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]
[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]
[2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]
[2,4,6,5,3,7,8,1]=>[1,8,7,3,5,6,4,2]
[2,5,4,6,3,7,8,1]=>[1,8,7,3,6,4,5,2]
[2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]
[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]
[3,2,5,6,4,7,8,1]=>[1,8,7,4,6,5,2,3]
[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]
[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]
[4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]
[3,4,2,6,5,7,8,1]=>[1,8,7,5,6,2,4,3]
[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]
[3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]
[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]
[3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]
[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]
[2,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,2]
[3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]
[2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]
[2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]
[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]
[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]
[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]
[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]
[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]
[1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]
[1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]
[1,5,6,8,7,4,3,2]=>[2,3,4,7,8,6,5,1]
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]
[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]
[1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]
[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]
[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]
[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]
[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]
[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]
[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]
[1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]
[1,5,4,8,7,6,3,2]=>[2,3,6,7,8,4,5,1]
[1,5,4,7,8,6,3,2]=>[2,3,6,8,7,4,5,1]
[1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]
[1,4,5,7,8,6,3,2]=>[2,3,6,8,7,5,4,1]
[1,6,5,4,8,7,3,2]=>[2,3,7,8,4,5,6,1]
[1,5,6,4,8,7,3,2]=>[2,3,7,8,4,6,5,1]
[1,4,6,5,8,7,3,2]=>[2,3,7,8,5,6,4,1]
[1,5,4,6,8,7,3,2]=>[2,3,7,8,6,4,5,1]
[1,4,5,6,8,7,3,2]=>[2,3,7,8,6,5,4,1]
[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]
[1,6,7,5,4,8,3,2]=>[2,3,8,4,5,7,6,1]
[1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]
[1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]
[1,5,6,7,4,8,3,2]=>[2,3,8,4,7,6,5,1]
[1,4,7,6,5,8,3,2]=>[2,3,8,5,6,7,4,1]
[1,4,6,7,5,8,3,2]=>[2,3,8,5,7,6,4,1]
[1,5,4,7,6,8,3,2]=>[2,3,8,6,7,4,5,1]
[1,4,5,7,6,8,3,2]=>[2,3,8,6,7,5,4,1]
[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]
[1,5,6,4,7,8,3,2]=>[2,3,8,7,4,6,5,1]
[1,4,6,5,7,8,3,2]=>[2,3,8,7,5,6,4,1]
[1,5,4,6,7,8,3,2]=>[2,3,8,7,6,4,5,1]
[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]
[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]
[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]
[1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]
[1,3,7,6,8,5,4,2]=>[2,4,5,8,6,7,3,1]
[1,3,6,7,8,5,4,2]=>[2,4,5,8,7,6,3,1]
[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]
[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]
[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]
[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]
[1,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,1]
[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]
[1,3,5,7,6,8,4,2]=>[2,4,8,6,7,5,3,1]
[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]
[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]
[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]
[1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]
[1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]
[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]
[1,4,3,6,7,8,5,2]=>[2,5,8,7,6,3,4,1]
[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]
[1,3,4,7,8,6,5,2]=>[2,5,6,8,7,4,3,1]
[1,3,4,6,8,7,5,2]=>[2,5,7,8,6,4,3,1]
[1,3,4,7,6,8,5,2]=>[2,5,8,6,7,4,3,1]
[1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]
[1,5,4,3,8,7,6,2]=>[2,6,7,8,3,4,5,1]
[1,5,4,3,7,8,6,2]=>[2,6,8,7,3,4,5,1]
[1,4,5,3,8,7,6,2]=>[2,6,7,8,3,5,4,1]
[1,4,5,3,7,8,6,2]=>[2,6,8,7,3,5,4,1]
[1,3,5,4,8,7,6,2]=>[2,6,7,8,4,5,3,1]
[1,3,5,4,7,8,6,2]=>[2,6,8,7,4,5,3,1]
[1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]
[1,4,3,5,7,8,6,2]=>[2,6,8,7,5,3,4,1]
[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]
[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]
[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]
[1,5,6,4,3,8,7,2]=>[2,7,8,3,4,6,5,1]
[1,4,6,5,3,8,7,2]=>[2,7,8,3,5,6,4,1]
[1,5,4,6,3,8,7,2]=>[2,7,8,3,6,4,5,1]
[1,4,5,6,3,8,7,2]=>[2,7,8,3,6,5,4,1]
[1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]
[1,3,5,6,4,8,7,2]=>[2,7,8,4,6,5,3,1]
[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]
[1,3,4,6,5,8,7,2]=>[2,7,8,5,6,4,3,1]
[1,5,4,3,6,8,7,2]=>[2,7,8,6,3,4,5,1]
[1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]
[1,3,5,4,6,8,7,2]=>[2,7,8,6,4,5,3,1]
[1,4,3,5,6,8,7,2]=>[2,7,8,6,5,3,4,1]
[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]
[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]
[1,6,7,5,4,3,8,2]=>[2,8,3,4,5,7,6,1]
[1,5,7,6,4,3,8,2]=>[2,8,3,4,6,7,5,1]
[1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]
[1,5,6,7,4,3,8,2]=>[2,8,3,4,7,6,5,1]
[1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]
[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]
[1,5,4,7,6,3,8,2]=>[2,8,3,6,7,4,5,1]
[1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]
[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]
[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]
[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]
[1,5,4,6,7,3,8,2]=>[2,8,3,7,6,4,5,1]
[1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]
[1,3,7,6,5,4,8,2]=>[2,8,4,5,6,7,3,1]
[1,3,6,7,5,4,8,2]=>[2,8,4,5,7,6,3,1]
[1,3,5,7,6,4,8,2]=>[2,8,4,6,7,5,3,1]
[1,3,6,5,7,4,8,2]=>[2,8,4,7,5,6,3,1]
[1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]
[1,4,3,7,6,5,8,2]=>[2,8,5,6,7,3,4,1]
[1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]
[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]
[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]
[1,5,4,3,7,6,8,2]=>[2,8,6,7,3,4,5,1]
[1,4,5,3,7,6,8,2]=>[2,8,6,7,3,5,4,1]
[1,3,5,4,7,6,8,2]=>[2,8,6,7,4,5,3,1]
[1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]
[1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]
[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]
[1,5,6,4,3,7,8,2]=>[2,8,7,3,4,6,5,1]
[1,4,6,5,3,7,8,2]=>[2,8,7,3,5,6,4,1]
[1,5,4,6,3,7,8,2]=>[2,8,7,3,6,4,5,1]
[1,4,5,6,3,7,8,2]=>[2,8,7,3,6,5,4,1]
[1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]
[1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]
[1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]
[1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]
[1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]
[1,4,5,3,6,7,8,2]=>[2,8,7,6,3,5,4,1]
[1,3,5,4,6,7,8,2]=>[2,8,7,6,4,5,3,1]
[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]
[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]
[2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]
[2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]
[2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]
[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]
[2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]
[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]
[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]
[2,1,5,6,8,7,4,3]=>[3,4,7,8,6,5,1,2]
[2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]
[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]
[2,1,5,7,6,8,4,3]=>[3,4,8,6,7,5,1,2]
[2,1,6,5,7,8,4,3]=>[3,4,8,7,5,6,1,2]
[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]
[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]
[2,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,2]
[2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]
[2,1,4,7,6,8,5,3]=>[3,5,8,6,7,4,1,2]
[2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]
[2,1,5,4,8,7,6,3]=>[3,6,7,8,4,5,1,2]
[2,1,5,4,7,8,6,3]=>[3,6,8,7,4,5,1,2]
[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]
[2,1,4,5,7,8,6,3]=>[3,6,8,7,5,4,1,2]
[2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]
[2,1,5,6,4,8,7,3]=>[3,7,8,4,6,5,1,2]
[2,1,4,6,5,8,7,3]=>[3,7,8,5,6,4,1,2]
[2,1,5,4,6,8,7,3]=>[3,7,8,6,4,5,1,2]
[2,1,4,5,6,8,7,3]=>[3,7,8,6,5,4,1,2]
[2,1,7,6,5,4,8,3]=>[3,8,4,5,6,7,1,2]
[2,1,6,7,5,4,8,3]=>[3,8,4,5,7,6,1,2]
[2,1,5,7,6,4,8,3]=>[3,8,4,6,7,5,1,2]
[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]
[2,1,5,6,7,4,8,3]=>[3,8,4,7,6,5,1,2]
[2,1,4,7,6,5,8,3]=>[3,8,5,6,7,4,1,2]
[2,1,4,6,7,5,8,3]=>[3,8,5,7,6,4,1,2]
[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]
[2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]
[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]
[2,1,5,6,4,7,8,3]=>[3,8,7,4,6,5,1,2]
[2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]
[2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]
[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]
[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]
[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]
[1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]
[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]
[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]
[1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]
[1,2,5,7,8,6,4,3]=>[3,4,6,8,7,5,2,1]
[1,2,6,5,8,7,4,3]=>[3,4,7,8,5,6,2,1]
[1,2,5,6,8,7,4,3]=>[3,4,7,8,6,5,2,1]
[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]
[1,2,6,7,5,8,4,3]=>[3,4,8,5,7,6,2,1]
[1,2,5,7,6,8,4,3]=>[3,4,8,6,7,5,2,1]
[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]
[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]
[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]
[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]
[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]
[1,2,4,7,6,8,5,3]=>[3,5,8,6,7,4,2,1]
[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]
[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]
[1,2,5,4,7,8,6,3]=>[3,6,8,7,4,5,2,1]
[1,2,4,5,8,7,6,3]=>[3,6,7,8,5,4,2,1]
[1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]
[1,2,6,5,4,8,7,3]=>[3,7,8,4,5,6,2,1]
[1,2,5,6,4,8,7,3]=>[3,7,8,4,6,5,2,1]
[1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]
[1,2,5,4,6,8,7,3]=>[3,7,8,6,4,5,2,1]
[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]
[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]
[1,2,6,7,5,4,8,3]=>[3,8,4,5,7,6,2,1]
[1,2,5,7,6,4,8,3]=>[3,8,4,6,7,5,2,1]
[1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]
[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]
[1,2,4,7,6,5,8,3]=>[3,8,5,6,7,4,2,1]
[1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]
[1,2,5,4,7,6,8,3]=>[3,8,6,7,4,5,2,1]
[1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]
[1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]
[1,2,5,6,4,7,8,3]=>[3,8,7,4,6,5,2,1]
[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]
[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]
[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]
[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]
[3,2,1,7,8,6,5,4]=>[4,5,6,8,7,1,2,3]
[3,2,1,6,8,7,5,4]=>[4,5,7,8,6,1,2,3]
[3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]
[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]
[3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3]
[3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]
[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]
[3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]
[3,2,1,7,6,5,8,4]=>[4,8,5,6,7,1,2,3]
[3,2,1,6,7,5,8,4]=>[4,8,5,7,6,1,2,3]
[3,2,1,5,7,6,8,4]=>[4,8,6,7,5,1,2,3]
[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]
[3,2,1,5,6,7,8,4]=>[4,8,7,6,5,1,2,3]
[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]
[2,3,1,7,8,6,5,4]=>[4,5,6,8,7,1,3,2]
[2,3,1,6,8,7,5,4]=>[4,5,7,8,6,1,3,2]
[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]
[2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]
[2,3,1,5,8,7,6,4]=>[4,6,7,8,5,1,3,2]
[2,3,1,5,7,8,6,4]=>[4,6,8,7,5,1,3,2]
[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]
[2,3,1,5,6,8,7,4]=>[4,7,8,6,5,1,3,2]
[2,3,1,7,6,5,8,4]=>[4,8,5,6,7,1,3,2]
[2,3,1,6,7,5,8,4]=>[4,8,5,7,6,1,3,2]
[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]
[2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]
[2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]
[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]
[1,3,2,7,8,6,5,4]=>[4,5,6,8,7,2,3,1]
[1,3,2,6,8,7,5,4]=>[4,5,7,8,6,2,3,1]
[1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]
[1,3,2,6,7,8,5,4]=>[4,5,8,7,6,2,3,1]
[1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]
[1,3,2,5,7,8,6,4]=>[4,6,8,7,5,2,3,1]
[1,3,2,6,5,8,7,4]=>[4,7,8,5,6,2,3,1]
[1,3,2,5,6,8,7,4]=>[4,7,8,6,5,2,3,1]
[1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]
[1,3,2,6,7,5,8,4]=>[4,8,5,7,6,2,3,1]
[1,3,2,5,7,6,8,4]=>[4,8,6,7,5,2,3,1]
[1,3,2,6,5,7,8,4]=>[4,8,7,5,6,2,3,1]
[1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]
[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]
[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]
[2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]
[2,1,3,7,6,8,5,4]=>[4,5,8,6,7,3,1,2]
[2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]
[2,1,3,5,8,7,6,4]=>[4,6,7,8,5,3,1,2]
[2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]
[2,1,3,6,5,8,7,4]=>[4,7,8,5,6,3,1,2]
[2,1,3,5,6,8,7,4]=>[4,7,8,6,5,3,1,2]
[2,1,3,7,6,5,8,4]=>[4,8,5,6,7,3,1,2]
[2,1,3,6,7,5,8,4]=>[4,8,5,7,6,3,1,2]
[2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]
[2,1,3,6,5,7,8,4]=>[4,8,7,5,6,3,1,2]
[2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]
[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]
[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]
[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]
[1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]
[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]
[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]
[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]
[1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]
[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]
[1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]
[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]
[1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]
[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]
[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]
[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]
[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]
[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]
[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]
[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]
[3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]
[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]
[3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]
[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]
[2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]
[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]
[2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]
[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]
[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]
[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]
[3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]
[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]
[2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]
[2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]
[2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]
[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]
[1,4,3,2,7,8,6,5]=>[5,6,8,7,2,3,4,1]
[1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]
[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]
[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]
[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]
[1,3,4,2,7,8,6,5]=>[5,6,8,7,2,4,3,1]
[1,3,4,2,6,8,7,5]=>[5,7,8,6,2,4,3,1]
[1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]
[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]
[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]
[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]
[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]
[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]
[1,2,4,3,7,8,6,5]=>[5,6,8,7,3,4,2,1]
[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]
[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]
[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]
[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]
[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]
[3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]
[3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]
[3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]
[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]
[2,3,1,4,7,8,6,5]=>[5,6,8,7,4,1,3,2]
[2,3,1,4,6,8,7,5]=>[5,7,8,6,4,1,3,2]
[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]
[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]
[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]
[1,3,2,4,7,8,6,5]=>[5,6,8,7,4,2,3,1]
[1,3,2,4,6,8,7,5]=>[5,7,8,6,4,2,3,1]
[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]
[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]
[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]
[2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]
[2,1,3,4,6,8,7,5]=>[5,7,8,6,4,3,1,2]
[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]
[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]
[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]
[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]
[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]
[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]
[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]
[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]
[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]
[4,5,3,2,1,7,8,6]=>[6,8,7,1,2,3,5,4]
[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]
[3,5,4,2,1,7,8,6]=>[6,8,7,1,2,4,5,3]
[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]
[4,3,5,2,1,7,8,6]=>[6,8,7,1,2,5,3,4]
[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]
[3,4,5,2,1,7,8,6]=>[6,8,7,1,2,5,4,3]
[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]
[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]
[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]
[2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]
[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]
[3,2,5,4,1,7,8,6]=>[6,8,7,1,4,5,2,3]
[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]
[2,3,5,4,1,7,8,6]=>[6,8,7,1,4,5,3,2]
[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]
[4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]
[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]
[3,4,2,5,1,7,8,6]=>[6,8,7,1,5,2,4,3]
[2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]
[2,4,3,5,1,7,8,6]=>[6,8,7,1,5,3,4,2]
[3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]
[3,2,4,5,1,7,8,6]=>[6,8,7,1,5,4,2,3]
[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]
[2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]
[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]
[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]
[1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]
[1,4,5,3,2,7,8,6]=>[6,8,7,2,3,5,4,1]
[1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]
[1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]
[1,4,3,5,2,8,7,6]=>[6,7,8,2,5,3,4,1]
[1,4,3,5,2,7,8,6]=>[6,8,7,2,5,3,4,1]
[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]
[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]
[2,1,5,4,3,8,7,6]=>[6,7,8,3,4,5,1,2]
[2,1,5,4,3,7,8,6]=>[6,8,7,3,4,5,1,2]
[2,1,4,5,3,8,7,6]=>[6,7,8,3,5,4,1,2]
[2,1,4,5,3,7,8,6]=>[6,8,7,3,5,4,1,2]
[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]
[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]
[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]
[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]
[3,2,1,5,4,7,8,6]=>[6,8,7,4,5,1,2,3]
[2,3,1,5,4,8,7,6]=>[6,7,8,4,5,1,3,2]
[2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]
[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]
[1,3,2,5,4,7,8,6]=>[6,8,7,4,5,2,3,1]
[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]
[2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]
[1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]
[1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]
[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]
[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]
[3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]
[3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]
[2,4,3,1,5,8,7,6]=>[6,7,8,5,1,3,4,2]
[2,4,3,1,5,7,8,6]=>[6,8,7,5,1,3,4,2]
[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]
[3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]
[2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]
[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]
[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]
[1,4,3,2,5,7,8,6]=>[6,8,7,5,2,3,4,1]
[1,3,4,2,5,8,7,6]=>[6,7,8,5,2,4,3,1]
[1,3,4,2,5,7,8,6]=>[6,8,7,5,2,4,3,1]
[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]
[2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]
[1,2,4,3,5,8,7,6]=>[6,7,8,5,3,4,2,1]
[1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]
[3,2,1,4,5,7,8,6]=>[6,8,7,5,4,1,2,3]
[2,3,1,4,5,8,7,6]=>[6,7,8,5,4,1,3,2]
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]
[1,3,2,4,5,8,7,6]=>[6,7,8,5,4,2,3,1]
[1,3,2,4,5,7,8,6]=>[6,8,7,5,4,2,3,1]
[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]
[2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]
[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]
[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]
[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]
[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]
[5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]
[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]
[3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]
[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]
[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]
[3,4,6,5,2,1,8,7]=>[7,8,1,2,5,6,4,3]
[5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]
[4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]
[3,5,4,6,2,1,8,7]=>[7,8,1,2,6,4,5,3]
[4,3,5,6,2,1,8,7]=>[7,8,1,2,6,5,3,4]
[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]
[2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]
[2,5,6,4,3,1,8,7]=>[7,8,1,3,4,6,5,2]
[2,4,6,5,3,1,8,7]=>[7,8,1,3,5,6,4,2]
[2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]
[2,4,5,6,3,1,8,7]=>[7,8,1,3,6,5,4,2]
[3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]
[3,2,5,6,4,1,8,7]=>[7,8,1,4,6,5,2,3]
[2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]
[2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]
[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]
[3,4,2,6,5,1,8,7]=>[7,8,1,5,6,2,4,3]
[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]
[3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]
[2,3,4,6,5,1,8,7]=>[7,8,1,5,6,4,3,2]
[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]
[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]
[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]
[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]
[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]
[2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]
[2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]
[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]
[2,3,5,4,6,1,8,7]=>[7,8,1,6,4,5,3,2]
[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]
[3,4,2,5,6,1,8,7]=>[7,8,1,6,5,2,4,3]
[2,4,3,5,6,1,8,7]=>[7,8,1,6,5,3,4,2]
[3,2,4,5,6,1,8,7]=>[7,8,1,6,5,4,2,3]
[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]
[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]
[1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]
[1,4,6,5,3,2,8,7]=>[7,8,2,3,5,6,4,1]
[1,5,4,6,3,2,8,7]=>[7,8,2,3,6,4,5,1]
[1,4,5,6,3,2,8,7]=>[7,8,2,3,6,5,4,1]
[1,3,6,5,4,2,8,7]=>[7,8,2,4,5,6,3,1]
[1,3,5,6,4,2,8,7]=>[7,8,2,4,6,5,3,1]
[1,4,3,6,5,2,8,7]=>[7,8,2,5,6,3,4,1]
[1,3,4,6,5,2,8,7]=>[7,8,2,5,6,4,3,1]
[1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]
[1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]
[1,4,3,5,6,2,8,7]=>[7,8,2,6,5,3,4,1]
[1,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,1]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]
[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]
[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]
[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]
[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]
[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]
[1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]
[1,2,4,6,5,3,8,7]=>[7,8,3,5,6,4,2,1]
[1,2,5,4,6,3,8,7]=>[7,8,3,6,4,5,2,1]
[1,2,4,5,6,3,8,7]=>[7,8,3,6,5,4,2,1]
[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]
[3,2,1,5,6,4,8,7]=>[7,8,4,6,5,1,2,3]
[2,3,1,6,5,4,8,7]=>[7,8,4,5,6,1,3,2]
[2,3,1,5,6,4,8,7]=>[7,8,4,6,5,1,3,2]
[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]
[1,3,2,5,6,4,8,7]=>[7,8,4,6,5,2,3,1]
[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]
[2,1,3,5,6,4,8,7]=>[7,8,4,6,5,3,1,2]
[1,2,3,6,5,4,8,7]=>[7,8,4,5,6,3,2,1]
[1,2,3,5,6,4,8,7]=>[7,8,4,6,5,3,2,1]
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]
[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]
[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]
[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]
[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]
[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]
[1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]
[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]
[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]
[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]
[1,3,2,4,6,5,8,7]=>[7,8,5,6,4,2,3,1]
[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]
[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]
[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]
[4,5,3,2,1,6,8,7]=>[7,8,6,1,2,3,5,4]
[3,5,4,2,1,6,8,7]=>[7,8,6,1,2,4,5,3]
[4,3,5,2,1,6,8,7]=>[7,8,6,1,2,5,3,4]
[3,4,5,2,1,6,8,7]=>[7,8,6,1,2,5,4,3]
[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]
[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]
[3,2,5,4,1,6,8,7]=>[7,8,6,1,4,5,2,3]
[2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]
[4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]
[3,4,2,5,1,6,8,7]=>[7,8,6,1,5,2,4,3]
[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]
[3,2,4,5,1,6,8,7]=>[7,8,6,1,5,4,2,3]
[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]
[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]
[1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]
[1,3,5,4,2,6,8,7]=>[7,8,6,2,4,5,3,1]
[1,4,3,5,2,6,8,7]=>[7,8,6,2,5,3,4,1]
[1,3,4,5,2,6,8,7]=>[7,8,6,2,5,4,3,1]
[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]
[2,1,4,5,3,6,8,7]=>[7,8,6,3,5,4,1,2]
[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]
[1,2,4,5,3,6,8,7]=>[7,8,6,3,5,4,2,1]
[3,2,1,5,4,6,8,7]=>[7,8,6,4,5,1,2,3]
[2,3,1,5,4,6,8,7]=>[7,8,6,4,5,1,3,2]
[1,3,2,5,4,6,8,7]=>[7,8,6,4,5,2,3,1]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]
[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]
[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]
[3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]
[2,4,3,1,5,6,8,7]=>[7,8,6,5,1,3,4,2]
[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]
[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]
[1,4,3,2,5,6,8,7]=>[7,8,6,5,2,3,4,1]
[1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]
[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]
[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]
[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]
[2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]
[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]
[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]
[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]
[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]
[4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]
[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]
[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]
[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]
[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]
[3,6,7,5,4,2,1,8]=>[8,1,2,4,5,7,6,3]
[3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]
[3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]
[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]
[4,3,6,7,5,2,1,8]=>[8,1,2,5,7,6,3,4]
[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]
[3,4,6,7,5,2,1,8]=>[8,1,2,5,7,6,4,3]
[5,4,3,7,6,2,1,8]=>[8,1,2,6,7,3,4,5]
[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]
[3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]
[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]
[3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]
[4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]
[3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]
[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]
[4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]
[3,4,6,5,7,2,1,8]=>[8,1,2,7,5,6,4,3]
[3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]
[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]
[2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]
[2,5,7,6,4,3,1,8]=>[8,1,3,4,6,7,5,2]
[2,6,5,7,4,3,1,8]=>[8,1,3,4,7,5,6,2]
[2,5,6,7,4,3,1,8]=>[8,1,3,4,7,6,5,2]
[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]
[2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]
[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]
[2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]
[2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]
[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]
[2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]
[2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]
[2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]
[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]
[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]
[3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]
[3,2,6,5,7,4,1,8]=>[8,1,4,7,5,6,2,3]
[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]
[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]
[2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]
[2,3,5,7,6,4,1,8]=>[8,1,4,6,7,5,3,2]
[2,3,6,5,7,4,1,8]=>[8,1,4,7,5,6,3,2]
[2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]
[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]
[4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]
[3,4,2,7,6,5,1,8]=>[8,1,5,6,7,2,4,3]
[3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]
[2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]
[2,4,3,6,7,5,1,8]=>[8,1,5,7,6,3,4,2]
[3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]
[3,2,4,6,7,5,1,8]=>[8,1,5,7,6,4,2,3]
[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]
[2,3,4,6,7,5,1,8]=>[8,1,5,7,6,4,3,2]
[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]
[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]
[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]
[4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]
[3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]
[2,5,4,3,7,6,1,8]=>[8,1,6,7,3,4,5,2]
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]
[2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]
[4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]
[3,4,2,5,7,6,1,8]=>[8,1,6,7,5,2,4,3]
[2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]
[3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]
[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]
[4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]
[3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]
[3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]
[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]
[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]
[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]
[2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]
[2,5,6,4,3,7,1,8]=>[8,1,7,3,4,6,5,2]
[2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]
[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]
[2,4,5,6,3,7,1,8]=>[8,1,7,3,6,5,4,2]
[3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]
[3,2,5,6,4,7,1,8]=>[8,1,7,4,6,5,2,3]
[2,3,6,5,4,7,1,8]=>[8,1,7,4,5,6,3,2]
[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]
[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]
[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]
[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]
[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]
[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]
[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]
[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]
[2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]
[3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]
[2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]
[2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]
[1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]
[1,5,7,6,4,3,2,8]=>[8,2,3,4,6,7,5,1]
[1,6,5,7,4,3,2,8]=>[8,2,3,4,7,5,6,1]
[1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]
[1,4,7,6,5,3,2,8]=>[8,2,3,5,6,7,4,1]
[1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]
[1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]
[1,4,5,7,6,3,2,8]=>[8,2,3,6,7,5,4,1]
[1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]
[1,5,6,4,7,3,2,8]=>[8,2,3,7,4,6,5,1]
[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]
[1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]
[1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]
[1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]
[1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]
[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]
[1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]
[1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]
[1,4,3,7,6,5,2,8]=>[8,2,5,6,7,3,4,1]
[1,4,3,6,7,5,2,8]=>[8,2,5,7,6,3,4,1]
[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]
[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]
[1,4,5,3,7,6,2,8]=>[8,2,6,7,3,5,4,1]
[1,3,5,4,7,6,2,8]=>[8,2,6,7,4,5,3,1]
[1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]
[1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]
[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]
[1,5,6,4,3,7,2,8]=>[8,2,7,3,4,6,5,1]
[1,4,6,5,3,7,2,8]=>[8,2,7,3,5,6,4,1]
[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]
[1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]
[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]
[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]
[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]
[1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]
[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]
[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]
[1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]
[1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]
[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]
[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]
[2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]
[2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]
[2,1,6,5,7,4,3,8]=>[8,3,4,7,5,6,1,2]
[2,1,5,6,7,4,3,8]=>[8,3,4,7,6,5,1,2]
[2,1,4,6,7,5,3,8]=>[8,3,5,7,6,4,1,2]
[2,1,5,4,7,6,3,8]=>[8,3,6,7,4,5,1,2]
[2,1,4,5,7,6,3,8]=>[8,3,6,7,5,4,1,2]
[2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]
[2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]
[2,1,4,6,5,7,3,8]=>[8,3,7,5,6,4,1,2]
[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]
[2,1,4,5,6,7,3,8]=>[8,3,7,6,5,4,1,2]
[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]
[1,2,6,7,5,4,3,8]=>[8,3,4,5,7,6,2,1]
[1,2,5,7,6,4,3,8]=>[8,3,4,6,7,5,2,1]
[1,2,6,5,7,4,3,8]=>[8,3,4,7,5,6,2,1]
[1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]
[1,2,4,7,6,5,3,8]=>[8,3,5,6,7,4,2,1]
[1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]
[1,2,5,4,7,6,3,8]=>[8,3,6,7,4,5,2,1]
[1,2,4,5,7,6,3,8]=>[8,3,6,7,5,4,2,1]
[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]
[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]
[1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]
[1,2,5,4,6,7,3,8]=>[8,3,7,6,4,5,2,1]
[1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]
[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]
[3,2,1,6,7,5,4,8]=>[8,4,5,7,6,1,2,3]
[3,2,1,5,7,6,4,8]=>[8,4,6,7,5,1,2,3]
[3,2,1,6,5,7,4,8]=>[8,4,7,5,6,1,2,3]
[3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]
[2,3,1,7,6,5,4,8]=>[8,4,5,6,7,1,3,2]
[2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]
[2,3,1,5,7,6,4,8]=>[8,4,6,7,5,1,3,2]
[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]
[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]
[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]
[1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]
[1,3,2,5,7,6,4,8]=>[8,4,6,7,5,2,3,1]
[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]
[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]
[2,1,3,7,6,5,4,8]=>[8,4,5,6,7,3,1,2]
[2,1,3,6,7,5,4,8]=>[8,4,5,7,6,3,1,2]
[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]
[2,1,3,6,5,7,4,8]=>[8,4,7,5,6,3,1,2]
[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]
[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]
[1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]
[1,2,3,5,7,6,4,8]=>[8,4,6,7,5,3,2,1]
[1,2,3,6,5,7,4,8]=>[8,4,7,5,6,3,2,1]
[1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]
[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]
[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]
[3,4,2,1,7,6,5,8]=>[8,5,6,7,1,2,4,3]
[3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]
[2,4,3,1,7,6,5,8]=>[8,5,6,7,1,3,4,2]
[2,4,3,1,6,7,5,8]=>[8,5,7,6,1,3,4,2]
[3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]
[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]
[2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]
[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]
[1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]
[1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]
[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]
[2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]
[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]
[1,2,4,3,6,7,5,8]=>[8,5,7,6,3,4,2,1]
[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]
[3,2,1,4,6,7,5,8]=>[8,5,7,6,4,1,2,3]
[2,3,1,4,7,6,5,8]=>[8,5,6,7,4,1,3,2]
[2,3,1,4,6,7,5,8]=>[8,5,7,6,4,1,3,2]
[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]
[1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]
[2,1,3,4,7,6,5,8]=>[8,5,6,7,4,3,1,2]
[2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]
[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]
[1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]
[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]
[4,5,3,2,1,7,6,8]=>[8,6,7,1,2,3,5,4]
[3,5,4,2,1,7,6,8]=>[8,6,7,1,2,4,5,3]
[4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]
[3,4,5,2,1,7,6,8]=>[8,6,7,1,2,5,4,3]
[2,4,5,3,1,7,6,8]=>[8,6,7,1,3,5,4,2]
[3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]
[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]
[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]
[3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]
[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]
[3,2,4,5,1,7,6,8]=>[8,6,7,1,5,4,2,3]
[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]
[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]
[1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]
[1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]
[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]
[1,3,4,5,2,7,6,8]=>[8,6,7,2,5,4,3,1]
[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]
[2,1,4,5,3,7,6,8]=>[8,6,7,3,5,4,1,2]
[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]
[1,2,4,5,3,7,6,8]=>[8,6,7,3,5,4,2,1]
[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]
[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]
[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]
[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]
[3,4,2,1,5,7,6,8]=>[8,6,7,5,1,2,4,3]
[2,4,3,1,5,7,6,8]=>[8,6,7,5,1,3,4,2]
[3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]
[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]
[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]
[1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]
[2,1,4,3,5,7,6,8]=>[8,6,7,5,3,4,1,2]
[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]
[3,2,1,4,5,7,6,8]=>[8,6,7,5,4,1,2,3]
[2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]
[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]
[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]
[4,6,5,3,2,1,7,8]=>[8,7,1,2,3,5,6,4]
[3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]
[3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]
[4,3,6,5,2,1,7,8]=>[8,7,1,2,5,6,3,4]
[3,4,6,5,2,1,7,8]=>[8,7,1,2,5,6,4,3]
[3,5,4,6,2,1,7,8]=>[8,7,1,2,6,4,5,3]
[2,4,6,5,3,1,7,8]=>[8,7,1,3,5,6,4,2]
[2,5,4,6,3,1,7,8]=>[8,7,1,3,6,4,5,2]
[2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]
[3,2,6,5,4,1,7,8]=>[8,7,1,4,5,6,2,3]
[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]
[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]
[2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]
[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]
[3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]
[2,4,3,6,5,1,7,8]=>[8,7,1,5,6,3,4,2]
[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]
[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]
[2,5,4,3,6,1,7,8]=>[8,7,1,6,3,4,5,2]
[2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]
[3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]
[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]
[2,4,3,5,6,1,7,8]=>[8,7,1,6,5,3,4,2]
[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]
[1,5,6,4,3,2,7,8]=>[8,7,2,3,4,6,5,1]
[1,4,6,5,3,2,7,8]=>[8,7,2,3,5,6,4,1]
[1,5,4,6,3,2,7,8]=>[8,7,2,3,6,4,5,1]
[1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]
[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]
[1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]
[1,4,3,6,5,2,7,8]=>[8,7,2,5,6,3,4,1]
[1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]
[1,5,4,3,6,2,7,8]=>[8,7,2,6,3,4,5,1]
[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]
[1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]
[1,4,3,5,6,2,7,8]=>[8,7,2,6,5,3,4,1]
[1,3,4,5,6,2,7,8]=>[8,7,2,6,5,4,3,1]
[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]
[2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]
[2,1,4,6,5,3,7,8]=>[8,7,3,5,6,4,1,2]
[2,1,5,4,6,3,7,8]=>[8,7,3,6,4,5,1,2]
[2,1,4,5,6,3,7,8]=>[8,7,3,6,5,4,1,2]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]
[1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]
[1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]
[1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]
[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]
[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]
[3,2,1,5,6,4,7,8]=>[8,7,4,6,5,1,2,3]
[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]
[2,3,1,5,6,4,7,8]=>[8,7,4,6,5,1,3,2]
[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]
[1,3,2,5,6,4,7,8]=>[8,7,4,6,5,2,3,1]
[2,1,3,6,5,4,7,8]=>[8,7,4,5,6,3,1,2]
[2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]
[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]
[1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]
[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]
[3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]
[2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]
[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]
[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]
[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]
[1,3,4,2,6,5,7,8]=>[8,7,5,6,2,4,3,1]
[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]
[3,2,1,4,6,5,7,8]=>[8,7,5,6,4,1,2,3]
[2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]
[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]
[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]
[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]
[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]
[2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]
[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]
[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]
[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]
[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]
[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]
[1,4,5,3,2,6,7,8]=>[8,7,6,2,3,5,4,1]
[1,3,5,4,2,6,7,8]=>[8,7,6,2,4,5,3,1]
[1,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,1]
[1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]
[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]
[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]
[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]
[1,2,4,5,3,6,7,8]=>[8,7,6,3,5,4,2,1]
[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]
[2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2]
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]
[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]
[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]
[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]
[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]
[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]
[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]
[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]
[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]
[1,2,3,5,8,6,7,4]=>[4,7,6,8,5,3,2,1]
[1,2,3,7,5,6,4,8]=>[8,4,6,5,7,3,2,1]
[1,2,3,7,5,6,8,4]=>[4,8,6,5,7,3,2,1]
[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]
[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]
[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]
[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]
[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]
[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]
[1,2,4,7,5,6,3,8]=>[8,3,6,5,7,4,2,1]
[1,2,4,7,5,6,8,3]=>[3,8,6,5,7,4,2,1]
[1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]
[1,2,4,8,5,7,6,3]=>[3,6,7,5,8,4,2,1]
[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]
[1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]
[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]
[1,2,6,4,5,3,8,7]=>[7,8,3,5,4,6,2,1]
[1,2,6,4,5,7,3,8]=>[8,3,7,5,4,6,2,1]
[1,2,6,4,5,7,8,3]=>[3,8,7,5,4,6,2,1]
[1,2,6,4,5,8,7,3]=>[3,7,8,5,4,6,2,1]
[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]
[1,2,7,4,5,6,8,3]=>[3,8,6,5,4,7,2,1]
[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]
[1,2,8,4,5,7,6,3]=>[3,6,7,5,4,8,2,1]
[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]
[1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]
[1,2,8,4,6,5,7,3]=>[3,7,5,6,4,8,2,1]
[1,2,8,4,6,7,5,3]=>[3,5,7,6,4,8,2,1]
[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]
[1,2,7,5,4,6,3,8]=>[8,3,6,4,5,7,2,1]
[1,2,7,5,4,6,8,3]=>[3,8,6,4,5,7,2,1]
[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]
[1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]
[1,2,7,5,6,4,3,8]=>[8,3,4,6,5,7,2,1]
[1,2,7,5,6,4,8,3]=>[3,8,4,6,5,7,2,1]
[1,2,8,5,6,4,7,3]=>[3,7,4,6,5,8,2,1]
[1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]
[1,2,8,5,7,6,4,3]=>[3,4,6,7,5,8,2,1]
[1,2,8,6,5,4,7,3]=>[3,7,4,5,6,8,2,1]
[1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]
[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]
[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]
[1,3,2,5,8,6,7,4]=>[4,7,6,8,5,2,3,1]
[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]
[1,3,2,7,5,6,8,4]=>[4,8,6,5,7,2,3,1]
[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]
[1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]
[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]
[1,3,2,8,6,7,5,4]=>[4,5,7,6,8,2,3,1]
[1,3,4,2,8,6,7,5]=>[5,7,6,8,2,4,3,1]
[1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]
[1,3,4,7,5,6,2,8]=>[8,2,6,5,7,4,3,1]
[1,3,4,7,5,6,8,2]=>[2,8,6,5,7,4,3,1]
[1,3,4,8,5,6,7,2]=>[2,7,6,5,8,4,3,1]
[1,3,4,8,5,7,6,2]=>[2,6,7,5,8,4,3,1]
[1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]
[1,3,4,8,6,7,5,2]=>[2,5,7,6,8,4,3,1]
[1,3,5,4,8,6,7,2]=>[2,7,6,8,4,5,3,1]
[1,3,6,4,5,2,7,8]=>[8,7,2,5,4,6,3,1]
[1,3,6,4,5,2,8,7]=>[7,8,2,5,4,6,3,1]
[1,3,6,4,5,7,2,8]=>[8,2,7,5,4,6,3,1]
[1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]
[1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]
[1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]
[1,3,7,4,5,6,8,2]=>[2,8,6,5,4,7,3,1]
[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]
[1,3,8,4,5,7,6,2]=>[2,6,7,5,4,8,3,1]
[1,3,7,4,6,5,2,8]=>[8,2,5,6,4,7,3,1]
[1,3,7,4,6,5,8,2]=>[2,8,5,6,4,7,3,1]
[1,3,8,4,6,5,7,2]=>[2,7,5,6,4,8,3,1]
[1,3,8,4,6,7,5,2]=>[2,5,7,6,4,8,3,1]
[1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]
[1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]
[1,3,7,5,4,6,8,2]=>[2,8,6,4,5,7,3,1]
[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]
[1,3,8,5,4,7,6,2]=>[2,6,7,4,5,8,3,1]
[1,3,7,5,6,4,2,8]=>[8,2,4,6,5,7,3,1]
[1,3,7,5,6,4,8,2]=>[2,8,4,6,5,7,3,1]
[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]
[1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]
[1,3,8,5,7,6,4,2]=>[2,4,6,7,5,8,3,1]
[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]
[1,3,8,7,5,6,4,2]=>[2,4,6,5,7,8,3,1]
[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]
[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]
[1,4,3,7,5,6,2,8]=>[8,2,6,5,7,3,4,1]
[1,4,3,7,5,6,8,2]=>[2,8,6,5,7,3,4,1]
[1,4,3,8,5,6,7,2]=>[2,7,6,5,8,3,4,1]
[1,4,3,8,5,7,6,2]=>[2,6,7,5,8,3,4,1]
[1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]
[1,4,3,8,6,7,5,2]=>[2,5,7,6,8,3,4,1]
[1,5,3,4,2,6,7,8]=>[8,7,6,2,4,3,5,1]
[1,5,3,4,2,6,8,7]=>[7,8,6,2,4,3,5,1]
[1,5,3,4,2,7,6,8]=>[8,6,7,2,4,3,5,1]
[1,5,3,4,2,7,8,6]=>[6,8,7,2,4,3,5,1]
[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]
[1,5,3,4,6,2,7,8]=>[8,7,2,6,4,3,5,1]
[1,5,3,4,6,2,8,7]=>[7,8,2,6,4,3,5,1]
[1,5,3,4,6,7,2,8]=>[8,2,7,6,4,3,5,1]
[1,5,3,4,6,7,8,2]=>[2,8,7,6,4,3,5,1]
[1,5,3,4,6,8,7,2]=>[2,7,8,6,4,3,5,1]
[1,5,3,4,7,6,2,8]=>[8,2,6,7,4,3,5,1]
[1,5,3,4,7,6,8,2]=>[2,8,6,7,4,3,5,1]
[1,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,1]
[1,5,3,4,8,7,6,2]=>[2,6,7,8,4,3,5,1]
[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]
[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]
[1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]
[1,6,3,4,5,7,8,2]=>[2,8,7,5,4,3,6,1]
[1,6,3,4,5,8,7,2]=>[2,7,8,5,4,3,6,1]
[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]
[1,7,3,4,5,6,8,2]=>[2,8,6,5,4,3,7,1]
[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]
[1,8,3,4,5,7,6,2]=>[2,6,7,5,4,3,8,1]
[1,7,3,4,6,5,2,8]=>[8,2,5,6,4,3,7,1]
[1,7,3,4,6,5,8,2]=>[2,8,5,6,4,3,7,1]
[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]
[1,8,3,4,6,7,5,2]=>[2,5,7,6,4,3,8,1]
[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]
[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]
[1,6,3,5,4,2,8,7]=>[7,8,2,4,5,3,6,1]
[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]
[1,6,3,5,4,7,8,2]=>[2,8,7,4,5,3,6,1]
[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]
[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]
[1,7,3,5,4,6,8,2]=>[2,8,6,4,5,3,7,1]
[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]
[1,8,3,5,4,7,6,2]=>[2,6,7,4,5,3,8,1]
[1,7,3,5,6,4,2,8]=>[8,2,4,6,5,3,7,1]
[1,7,3,5,6,4,8,2]=>[2,8,4,6,5,3,7,1]
[1,8,3,5,6,4,7,2]=>[2,7,4,6,5,3,8,1]
[1,8,3,5,6,7,4,2]=>[2,4,7,6,5,3,8,1]
[1,8,3,5,7,6,4,2]=>[2,4,6,7,5,3,8,1]
[1,7,3,6,5,4,2,8]=>[8,2,4,5,6,3,7,1]
[1,7,3,6,5,4,8,2]=>[2,8,4,5,6,3,7,1]
[1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]
[1,8,3,6,5,7,4,2]=>[2,4,7,5,6,3,8,1]
[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]
[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]
[1,5,4,3,8,6,7,2]=>[2,7,6,8,3,4,5,1]
[1,6,4,3,5,2,7,8]=>[8,7,2,5,3,4,6,1]
[1,6,4,3,5,2,8,7]=>[7,8,2,5,3,4,6,1]
[1,6,4,3,5,7,2,8]=>[8,2,7,5,3,4,6,1]
[1,6,4,3,5,8,7,2]=>[2,7,8,5,3,4,6,1]
[1,7,4,3,5,6,2,8]=>[8,2,6,5,3,4,7,1]
[1,7,4,3,5,6,8,2]=>[2,8,6,5,3,4,7,1]
[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]
[1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]
[1,7,4,3,6,5,2,8]=>[8,2,5,6,3,4,7,1]
[1,7,4,3,6,5,8,2]=>[2,8,5,6,3,4,7,1]
[1,8,4,3,6,5,7,2]=>[2,7,5,6,3,4,8,1]
[1,8,4,3,6,7,5,2]=>[2,5,7,6,3,4,8,1]
[1,8,4,3,7,6,5,2]=>[2,5,6,7,3,4,8,1]
[1,6,4,5,3,2,7,8]=>[8,7,2,3,5,4,6,1]
[1,6,4,5,3,2,8,7]=>[7,8,2,3,5,4,6,1]
[1,6,4,5,3,7,2,8]=>[8,2,7,3,5,4,6,1]
[1,6,4,5,3,7,8,2]=>[2,8,7,3,5,4,6,1]
[1,6,4,5,3,8,7,2]=>[2,7,8,3,5,4,6,1]
[1,7,4,5,3,6,8,2]=>[2,8,6,3,5,4,7,1]
[1,8,4,5,3,6,7,2]=>[2,7,6,3,5,4,8,1]
[1,8,4,5,3,7,6,2]=>[2,6,7,3,5,4,8,1]
[1,7,4,5,6,3,2,8]=>[8,2,3,6,5,4,7,1]
[1,7,4,5,6,3,8,2]=>[2,8,3,6,5,4,7,1]
[1,8,4,5,6,3,7,2]=>[2,7,3,6,5,4,8,1]
[1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]
[1,8,4,5,7,6,3,2]=>[2,3,6,7,5,4,8,1]
[1,7,4,6,5,3,2,8]=>[8,2,3,5,6,4,7,1]
[1,7,4,6,5,3,8,2]=>[2,8,3,5,6,4,7,1]
[1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]
[1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]
[1,8,4,7,5,6,3,2]=>[2,3,6,5,7,4,8,1]
[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]
[1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]
[1,7,5,4,3,6,8,2]=>[2,8,6,3,4,5,7,1]
[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]
[1,8,5,4,3,7,6,2]=>[2,6,7,3,4,5,8,1]
[1,7,5,4,6,3,2,8]=>[8,2,3,6,4,5,7,1]
[1,7,5,4,6,3,8,2]=>[2,8,3,6,4,5,7,1]
[1,8,5,4,6,3,7,2]=>[2,7,3,6,4,5,8,1]
[1,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,1]
[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]
[1,7,6,4,5,3,8,2]=>[2,8,3,5,4,6,7,1]
[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]
[1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]
[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]
[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]
[1,8,6,5,4,3,7,2]=>[2,7,3,4,5,6,8,1]
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]
[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]
[1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]
[2,1,3,4,8,6,7,5]=>[5,7,6,8,4,3,1,2]
[2,1,3,5,8,6,7,4]=>[4,7,6,8,5,3,1,2]
[2,1,3,7,5,6,4,8]=>[8,4,6,5,7,3,1,2]
[2,1,3,7,5,6,8,4]=>[4,8,6,5,7,3,1,2]
[2,1,3,8,5,6,7,4]=>[4,7,6,5,8,3,1,2]
[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]
[2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]
[2,1,3,8,6,7,5,4]=>[4,5,7,6,8,3,1,2]
[2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]
[2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]
[2,1,4,7,5,6,3,8]=>[8,3,6,5,7,4,1,2]
[2,1,4,7,5,6,8,3]=>[3,8,6,5,7,4,1,2]
[2,1,4,8,5,6,7,3]=>[3,7,6,5,8,4,1,2]
[2,1,4,8,5,7,6,3]=>[3,6,7,5,8,4,1,2]
[2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]
[2,1,4,8,6,7,5,3]=>[3,5,7,6,8,4,1,2]
[2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]
[2,1,6,4,5,3,7,8]=>[8,7,3,5,4,6,1,2]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]
[2,1,6,4,5,7,3,8]=>[8,3,7,5,4,6,1,2]
[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]
[2,1,6,4,5,8,7,3]=>[3,7,8,5,4,6,1,2]
[2,1,7,4,5,6,3,8]=>[8,3,6,5,4,7,1,2]
[2,1,7,4,5,6,8,3]=>[3,8,6,5,4,7,1,2]
[2,1,8,4,5,6,7,3]=>[3,7,6,5,4,8,1,2]
[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]
[2,1,7,4,6,5,3,8]=>[8,3,5,6,4,7,1,2]
[2,1,7,4,6,5,8,3]=>[3,8,5,6,4,7,1,2]
[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]
[2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]
[2,1,8,4,7,6,5,3]=>[3,5,6,7,4,8,1,2]
[2,1,7,5,4,6,8,3]=>[3,8,6,4,5,7,1,2]
[2,1,8,5,4,6,7,3]=>[3,7,6,4,5,8,1,2]
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]
[2,1,7,5,6,4,3,8]=>[8,3,4,6,5,7,1,2]
[2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]
[2,1,8,5,6,4,7,3]=>[3,7,4,6,5,8,1,2]
[2,1,8,5,6,7,4,3]=>[3,4,7,6,5,8,1,2]
[2,1,8,5,7,6,4,3]=>[3,4,6,7,5,8,1,2]
[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]
[2,1,8,6,5,7,4,3]=>[3,4,7,5,6,8,1,2]
[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]
[2,3,1,4,8,6,7,5]=>[5,7,6,8,4,1,3,2]
[2,3,1,5,8,6,7,4]=>[4,7,6,8,5,1,3,2]
[2,3,1,7,5,6,4,8]=>[8,4,6,5,7,1,3,2]
[2,3,1,7,5,6,8,4]=>[4,8,6,5,7,1,3,2]
[2,3,1,8,5,6,7,4]=>[4,7,6,5,8,1,3,2]
[2,3,1,8,5,7,6,4]=>[4,6,7,5,8,1,3,2]
[2,3,1,8,6,5,7,4]=>[4,7,5,6,8,1,3,2]
[2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]
[2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]
[2,3,4,7,5,6,1,8]=>[8,1,6,5,7,4,3,2]
[2,3,4,7,5,6,8,1]=>[1,8,6,5,7,4,3,2]
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]
[2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]
[2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]
[2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]
[2,3,5,4,8,6,7,1]=>[1,7,6,8,4,5,3,2]
[2,3,6,4,5,1,7,8]=>[8,7,1,5,4,6,3,2]
[2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]
[2,3,6,4,5,7,1,8]=>[8,1,7,5,4,6,3,2]
[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]
[2,3,6,4,5,8,7,1]=>[1,7,8,5,4,6,3,2]
[2,3,7,4,5,6,1,8]=>[8,1,6,5,4,7,3,2]
[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]
[2,3,8,4,5,6,7,1]=>[1,7,6,5,4,8,3,2]
[2,3,8,4,5,7,6,1]=>[1,6,7,5,4,8,3,2]
[2,3,7,4,6,5,1,8]=>[8,1,5,6,4,7,3,2]
[2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]
[2,3,8,4,6,5,7,1]=>[1,7,5,6,4,8,3,2]
[2,3,8,4,6,7,5,1]=>[1,5,7,6,4,8,3,2]
[2,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,2]
[2,3,7,5,4,6,1,8]=>[8,1,6,4,5,7,3,2]
[2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]
[2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]
[2,3,8,5,4,7,6,1]=>[1,6,7,4,5,8,3,2]
[2,3,7,5,6,4,1,8]=>[8,1,4,6,5,7,3,2]
[2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]
[2,3,8,5,6,4,7,1]=>[1,7,4,6,5,8,3,2]
[2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]
[2,3,8,5,7,6,4,1]=>[1,4,6,7,5,8,3,2]
[2,3,8,6,5,4,7,1]=>[1,7,4,5,6,8,3,2]
[2,3,8,6,5,7,4,1]=>[1,4,7,5,6,8,3,2]
[2,3,8,7,5,6,4,1]=>[1,4,6,5,7,8,3,2]
[2,4,3,1,8,6,7,5]=>[5,7,6,8,1,3,4,2]
[2,4,3,5,8,6,7,1]=>[1,7,6,8,5,3,4,2]
[2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]
[2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]
[2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]
[2,4,3,8,5,7,6,1]=>[1,6,7,5,8,3,4,2]
[2,4,3,8,6,5,7,1]=>[1,7,5,6,8,3,4,2]
[2,4,3,8,6,7,5,1]=>[1,5,7,6,8,3,4,2]
[2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]
[2,5,3,4,1,6,8,7]=>[7,8,6,1,4,3,5,2]
[2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]
[2,5,3,4,1,7,8,6]=>[6,8,7,1,4,3,5,2]
[2,5,3,4,1,8,7,6]=>[6,7,8,1,4,3,5,2]
[2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]
[2,5,3,4,6,1,8,7]=>[7,8,1,6,4,3,5,2]
[2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]
[2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]
[2,5,3,4,6,8,7,1]=>[1,7,8,6,4,3,5,2]
[2,5,3,4,7,6,1,8]=>[8,1,6,7,4,3,5,2]
[2,5,3,4,7,6,8,1]=>[1,8,6,7,4,3,5,2]
[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]
[2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]
[2,6,3,4,5,1,7,8]=>[8,7,1,5,4,3,6,2]
[2,6,3,4,5,1,8,7]=>[7,8,1,5,4,3,6,2]
[2,6,3,4,5,7,1,8]=>[8,1,7,5,4,3,6,2]
[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]
[2,6,3,4,5,8,7,1]=>[1,7,8,5,4,3,6,2]
[2,7,3,4,5,6,1,8]=>[8,1,6,5,4,3,7,2]
[2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]
[2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]
[2,8,3,4,5,7,6,1]=>[1,6,7,5,4,3,8,2]
[2,7,3,4,6,5,1,8]=>[8,1,5,6,4,3,7,2]
[2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]
[2,8,3,4,6,5,7,1]=>[1,7,5,6,4,3,8,2]
[2,8,3,4,6,7,5,1]=>[1,5,7,6,4,3,8,2]
[2,8,3,4,7,6,5,1]=>[1,5,6,7,4,3,8,2]
[2,6,3,5,4,1,7,8]=>[8,7,1,4,5,3,6,2]
[2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]
[2,6,3,5,4,7,1,8]=>[8,1,7,4,5,3,6,2]
[2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]
[2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]
[2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]
[2,8,3,5,4,6,7,1]=>[1,7,6,4,5,3,8,2]
[2,8,3,5,4,7,6,1]=>[1,6,7,4,5,3,8,2]
[2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]
[2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]
[2,8,3,5,6,4,7,1]=>[1,7,4,6,5,3,8,2]
[2,8,3,5,6,7,4,1]=>[1,4,7,6,5,3,8,2]
[2,8,3,5,7,6,4,1]=>[1,4,6,7,5,3,8,2]
[2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]
[2,7,3,6,5,4,8,1]=>[1,8,4,5,6,3,7,2]
[2,8,3,6,5,4,7,1]=>[1,7,4,5,6,3,8,2]
[2,8,3,6,5,7,4,1]=>[1,4,7,5,6,3,8,2]
[2,8,3,7,5,6,4,1]=>[1,4,6,5,7,3,8,2]
[2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]
[2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]
[2,6,4,3,5,1,7,8]=>[8,7,1,5,3,4,6,2]
[2,6,4,3,5,1,8,7]=>[7,8,1,5,3,4,6,2]
[2,6,4,3,5,7,1,8]=>[8,1,7,5,3,4,6,2]
[2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]
[2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]
[2,7,4,3,5,6,1,8]=>[8,1,6,5,3,4,7,2]
[2,7,4,3,5,6,8,1]=>[1,8,6,5,3,4,7,2]
[2,8,4,3,5,6,7,1]=>[1,7,6,5,3,4,8,2]
[2,8,4,3,5,7,6,1]=>[1,6,7,5,3,4,8,2]
[2,7,4,3,6,5,1,8]=>[8,1,5,6,3,4,7,2]
[2,7,4,3,6,5,8,1]=>[1,8,5,6,3,4,7,2]
[2,8,4,3,6,5,7,1]=>[1,7,5,6,3,4,8,2]
[2,8,4,3,6,7,5,1]=>[1,5,7,6,3,4,8,2]
[2,8,4,3,7,6,5,1]=>[1,5,6,7,3,4,8,2]
[2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]
[2,6,4,5,3,1,8,7]=>[7,8,1,3,5,4,6,2]
[2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]
[2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]
[2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]
[2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]
[2,7,4,5,3,6,8,1]=>[1,8,6,3,5,4,7,2]
[2,8,4,5,3,6,7,1]=>[1,7,6,3,5,4,8,2]
[2,8,4,5,3,7,6,1]=>[1,6,7,3,5,4,8,2]
[2,7,4,5,6,3,1,8]=>[8,1,3,6,5,4,7,2]
[2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]
[2,8,4,5,6,3,7,1]=>[1,7,3,6,5,4,8,2]
[2,8,4,5,6,7,3,1]=>[1,3,7,6,5,4,8,2]
[2,8,4,5,7,6,3,1]=>[1,3,6,7,5,4,8,2]
[2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]
[2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]
[2,8,4,6,5,3,7,1]=>[1,7,3,5,6,4,8,2]
[2,8,4,6,5,7,3,1]=>[1,3,7,5,6,4,8,2]
[2,8,4,7,5,6,3,1]=>[1,3,6,5,7,4,8,2]
[2,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,2]
[2,7,5,4,3,6,1,8]=>[8,1,6,3,4,5,7,2]
[2,7,5,4,3,6,8,1]=>[1,8,6,3,4,5,7,2]
[2,8,5,4,3,6,7,1]=>[1,7,6,3,4,5,8,2]
[2,8,5,4,3,7,6,1]=>[1,6,7,3,4,5,8,2]
[2,7,5,4,6,3,1,8]=>[8,1,3,6,4,5,7,2]
[2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]
[2,8,5,4,6,3,7,1]=>[1,7,3,6,4,5,8,2]
[2,8,5,4,6,7,3,1]=>[1,3,7,6,4,5,8,2]
[2,8,5,4,7,6,3,1]=>[1,3,6,7,4,5,8,2]
[2,7,6,4,5,3,1,8]=>[8,1,3,5,4,6,7,2]
[2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]
[2,8,6,4,5,3,7,1]=>[1,7,3,5,4,6,8,2]
[2,8,6,4,5,7,3,1]=>[1,3,7,5,4,6,8,2]
[2,8,7,4,5,6,3,1]=>[1,3,6,5,4,7,8,2]
[2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2]
[2,8,6,5,4,3,7,1]=>[1,7,3,4,5,6,8,2]
[2,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,2]
[2,8,7,5,4,6,3,1]=>[1,3,6,4,5,7,8,2]
[2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]
[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]
[3,2,1,5,8,6,7,4]=>[4,7,6,8,5,1,2,3]
[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]
[3,2,1,7,5,6,8,4]=>[4,8,6,5,7,1,2,3]
[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]
[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]
[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]
[3,2,1,8,6,7,5,4]=>[4,5,7,6,8,1,2,3]
[3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]
[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]
[3,2,4,7,5,6,1,8]=>[8,1,6,5,7,4,2,3]
[3,2,4,7,5,6,8,1]=>[1,8,6,5,7,4,2,3]
[3,2,4,8,5,6,7,1]=>[1,7,6,5,8,4,2,3]
[3,2,4,8,5,7,6,1]=>[1,6,7,5,8,4,2,3]
[3,2,4,8,6,5,7,1]=>[1,7,5,6,8,4,2,3]
[3,2,4,8,6,7,5,1]=>[1,5,7,6,8,4,2,3]
[3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]
[3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]
[3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]
[3,2,6,4,5,7,1,8]=>[8,1,7,5,4,6,2,3]
[3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]
[3,2,6,4,5,8,7,1]=>[1,7,8,5,4,6,2,3]
[3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]
[3,2,7,4,5,6,8,1]=>[1,8,6,5,4,7,2,3]
[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]
[3,2,8,4,5,7,6,1]=>[1,6,7,5,4,8,2,3]
[3,2,7,4,6,5,1,8]=>[8,1,5,6,4,7,2,3]
[3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]
[3,2,8,4,6,5,7,1]=>[1,7,5,6,4,8,2,3]
[3,2,8,4,6,7,5,1]=>[1,5,7,6,4,8,2,3]
[3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]
[3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]
[3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]
[3,2,8,5,4,6,7,1]=>[1,7,6,4,5,8,2,3]
[3,2,8,5,4,7,6,1]=>[1,6,7,4,5,8,2,3]
[3,2,7,5,6,4,1,8]=>[8,1,4,6,5,7,2,3]
[3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]
[3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]
[3,2,8,5,6,7,4,1]=>[1,4,7,6,5,8,2,3]
[3,2,8,5,7,6,4,1]=>[1,4,6,7,5,8,2,3]
[3,2,8,6,5,4,7,1]=>[1,7,4,5,6,8,2,3]
[3,2,8,6,5,7,4,1]=>[1,4,7,5,6,8,2,3]
[3,2,8,7,5,6,4,1]=>[1,4,6,5,7,8,2,3]
[4,2,3,1,5,6,8,7]=>[7,8,6,5,1,3,2,4]
[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]
[4,2,3,1,5,7,8,6]=>[6,8,7,5,1,3,2,4]
[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]
[4,2,3,1,6,5,7,8]=>[8,7,5,6,1,3,2,4]
[4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]
[4,2,3,1,6,7,5,8]=>[8,5,7,6,1,3,2,4]
[4,2,3,1,6,7,8,5]=>[5,8,7,6,1,3,2,4]
[4,2,3,1,6,8,7,5]=>[5,7,8,6,1,3,2,4]
[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]
[4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]
[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]
[4,2,3,5,1,6,8,7]=>[7,8,6,1,5,3,2,4]
[4,2,3,5,1,7,6,8]=>[8,6,7,1,5,3,2,4]
[4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]
[4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]
[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]
[4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4]
[4,2,3,5,7,6,1,8]=>[8,1,6,7,5,3,2,4]
[4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]
[4,2,3,5,8,6,7,1]=>[1,7,6,8,5,3,2,4]
[4,2,3,5,8,7,6,1]=>[1,6,7,8,5,3,2,4]
[4,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,4]
[4,2,3,6,5,1,8,7]=>[7,8,1,5,6,3,2,4]
[4,2,3,6,5,7,1,8]=>[8,1,7,5,6,3,2,4]
[4,2,3,6,5,8,7,1]=>[1,7,8,5,6,3,2,4]
[4,2,3,7,5,6,1,8]=>[8,1,6,5,7,3,2,4]
[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]
[4,2,3,8,5,6,7,1]=>[1,7,6,5,8,3,2,4]
[4,2,3,8,5,7,6,1]=>[1,6,7,5,8,3,2,4]
[4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]
[4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]
[4,2,3,8,6,5,7,1]=>[1,7,5,6,8,3,2,4]
[4,2,3,8,6,7,5,1]=>[1,5,7,6,8,3,2,4]
[4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]
[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]
[5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]
[5,2,3,4,1,7,8,6]=>[6,8,7,1,4,3,2,5]
[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]
[5,2,3,4,6,1,8,7]=>[7,8,1,6,4,3,2,5]
[5,2,3,4,6,8,7,1]=>[1,7,8,6,4,3,2,5]
[5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]
[5,2,3,4,7,6,8,1]=>[1,8,6,7,4,3,2,5]
[5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]
[5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]
[6,2,3,4,5,1,8,7]=>[7,8,1,5,4,3,2,6]
[6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]
[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]
[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]
[7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]
[8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]
[8,2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2,8]
[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]
[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]
[6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]
[6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]
[6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]
[6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]
[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]
[7,2,3,5,4,6,8,1]=>[1,8,6,4,5,3,2,7]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]
[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]
[7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]
[7,2,3,5,6,4,8,1]=>[1,8,4,6,5,3,2,7]
[8,2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2,8]
[8,2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2,8]
[8,2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2,8]
[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]
[7,2,3,6,5,4,8,1]=>[1,8,4,5,6,3,2,7]
[8,2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2,8]
[8,2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2,8]
[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]
[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]
[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]
[5,2,4,3,1,6,8,7]=>[7,8,6,1,3,4,2,5]
[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]
[5,2,4,3,1,7,8,6]=>[6,8,7,1,3,4,2,5]
[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]
[5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]
[5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]
[5,2,4,3,6,7,1,8]=>[8,1,7,6,3,4,2,5]
[5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]
[5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]
[5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]
[5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]
[5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]
[5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]
[6,2,4,3,5,1,7,8]=>[8,7,1,5,3,4,2,6]
[6,2,4,3,5,1,8,7]=>[7,8,1,5,3,4,2,6]
[6,2,4,3,5,7,1,8]=>[8,1,7,5,3,4,2,6]
[6,2,4,3,5,7,8,1]=>[1,8,7,5,3,4,2,6]
[6,2,4,3,5,8,7,1]=>[1,7,8,5,3,4,2,6]
[7,2,4,3,5,6,8,1]=>[1,8,6,5,3,4,2,7]
[8,2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2,8]
[8,2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2,8]
[7,2,4,3,6,5,1,8]=>[8,1,5,6,3,4,2,7]
[7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]
[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]
[8,2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2,8]
[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]
[6,2,4,5,3,1,7,8]=>[8,7,1,3,5,4,2,6]
[6,2,4,5,3,1,8,7]=>[7,8,1,3,5,4,2,6]
[6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]
[6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]
[6,2,4,5,3,8,7,1]=>[1,7,8,3,5,4,2,6]
[7,2,4,5,3,6,1,8]=>[8,1,6,3,5,4,2,7]
[7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]
[8,2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2,8]
[8,2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2,8]
[7,2,4,5,6,3,1,8]=>[8,1,3,6,5,4,2,7]
[7,2,4,5,6,3,8,1]=>[1,8,3,6,5,4,2,7]
[8,2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2,8]
[8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]
[8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]
[7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]
[7,2,4,6,5,3,8,1]=>[1,8,3,5,6,4,2,7]
[8,2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2,8]
[8,2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2,8]
[8,2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2,8]
[8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]
[6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]
[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]
[6,2,5,4,3,7,1,8]=>[8,1,7,3,4,5,2,6]
[6,2,5,4,3,7,8,1]=>[1,8,7,3,4,5,2,6]
[6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]
[7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]
[7,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,7]
[8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]
[8,2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2,8]
[7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]
[7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]
[8,2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2,8]
[8,2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2,8]
[8,2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2,8]
[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]
[7,2,6,4,5,3,8,1]=>[1,8,3,5,4,6,2,7]
[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]
[8,2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2,8]
[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]
[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]
[7,2,6,5,4,3,1,8]=>[8,1,3,4,5,6,2,7]
[7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]
[8,2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2,8]
[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]
[8,2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2,8]
[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]
[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]
[4,3,2,5,8,6,7,1]=>[1,7,6,8,5,2,3,4]
[4,3,2,7,5,6,1,8]=>[8,1,6,5,7,2,3,4]
[4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]
[4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]
[4,3,2,8,5,7,6,1]=>[1,6,7,5,8,2,3,4]
[4,3,2,8,6,5,7,1]=>[1,7,5,6,8,2,3,4]
[4,3,2,8,6,7,5,1]=>[1,5,7,6,8,2,3,4]
[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]
[5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]
[5,3,2,4,1,7,8,6]=>[6,8,7,1,4,2,3,5]
[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]
[5,3,2,4,6,1,8,7]=>[7,8,1,6,4,2,3,5]
[5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]
[5,3,2,4,7,6,8,1]=>[1,8,6,7,4,2,3,5]
[5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]
[5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]
[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]
[6,3,2,4,5,8,7,1]=>[1,7,8,5,4,2,3,6]
[8,3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3,8]
[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]
[7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]
[8,3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3,8]
[8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]
[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]
[6,3,2,5,4,1,7,8]=>[8,7,1,4,5,2,3,6]
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]
[6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]
[6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]
[6,3,2,5,4,8,7,1]=>[1,7,8,4,5,2,3,6]
[7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]
[7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]
[8,3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3,8]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]
[7,3,2,5,6,4,8,1]=>[1,8,4,6,5,2,3,7]
[8,3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3,8]
[8,3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3,8]
[8,3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3,8]
[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]
[7,3,2,6,5,4,8,1]=>[1,8,4,5,6,2,3,7]
[8,3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3,8]
[8,3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3,8]
[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]
[5,3,4,2,1,6,8,7]=>[7,8,6,1,2,4,3,5]
[5,3,4,2,1,7,6,8]=>[8,6,7,1,2,4,3,5]
[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]
[5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]
[5,3,4,2,6,1,8,7]=>[7,8,1,6,2,4,3,5]
[5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]
[5,3,4,2,7,6,1,8]=>[8,1,6,7,2,4,3,5]
[5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]
[5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]
[5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]
[6,3,4,2,5,1,8,7]=>[7,8,1,5,2,4,3,6]
[6,3,4,2,5,8,7,1]=>[1,7,8,5,2,4,3,6]
[8,3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3,8]
[7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]
[7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]
[8,3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3,8]
[8,3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3,8]
[8,3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3,8]
[6,3,4,5,2,1,8,7]=>[7,8,1,2,5,4,3,6]
[6,3,4,5,2,8,7,1]=>[1,7,8,2,5,4,3,6]
[8,3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3,8]
[8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8]
[7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]
[7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]
[8,3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3,8]
[8,3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3,8]
[8,3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3,8]
[8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]
[6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]
[6,3,5,4,2,1,8,7]=>[7,8,1,2,4,5,3,6]
[6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]
[6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6]
[6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]
[7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7]
[7,3,5,4,2,6,8,1]=>[1,8,6,2,4,5,3,7]
[8,3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3,8]
[8,3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3,8]
[7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]
[7,3,5,4,6,2,8,1]=>[1,8,2,6,4,5,3,7]
[8,3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3,8]
[8,3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3,8]
[8,3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3,8]
[7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]
[7,3,6,4,5,2,8,1]=>[1,8,2,5,4,6,3,7]
[8,3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3,8]
[8,3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3,8]
[8,3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3,8]
[8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]
[7,3,6,5,4,2,8,1]=>[1,8,2,4,5,6,3,7]
[8,3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3,8]
[8,3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3,8]
[8,3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3,8]
[8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8]
[8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]
[5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]
[6,4,3,2,5,1,8,7]=>[7,8,1,5,2,3,4,6]
[6,4,3,2,5,8,7,1]=>[1,7,8,5,2,3,4,6]
[8,4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4,8]
[7,4,3,2,6,5,1,8]=>[8,1,5,6,2,3,4,7]
[7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]
[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]
[8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]
[6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]
[6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]
[8,4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4,8]
[8,4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4,8]
[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]
[7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]
[8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]
[8,4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4,8]
[8,4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4,8]
[8,4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4,8]
[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]
[6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]
[8,5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5,8]
[8,5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5,8]
[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]
[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]
[7,6,3,5,4,2,8,1]=>[1,8,2,4,5,3,6,7]
[8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]
[8,6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6,8]
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]
[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]
[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]
[8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]
[8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]
[2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]
[2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]
[2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]
[2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]
[2,1,4,6,3,8,5,7]=>[7,5,8,3,6,4,1,2]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]
[2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]
[2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]
[2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]
[2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]
[2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]
[2,4,1,6,3,5,7,8]=>[8,7,5,3,6,1,4,2]
[2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]
[2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]
[2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]
[2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]
[2,1,4,6,7,3,5,8]=>[8,5,3,7,6,4,1,2]
[2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]
[2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]
[2,4,6,7,1,3,5,8]=>[8,5,3,1,7,6,4,2]
[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]
[2,1,4,6,3,7,8,5]=>[5,8,7,3,6,4,1,2]
[2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]
[2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]
[2,1,4,6,7,3,8,5]=>[5,8,3,7,6,4,1,2]
[2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]
[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]
[2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]
[2,1,4,6,7,8,3,5]=>[5,3,8,7,6,4,1,2]
[2,4,1,6,7,8,3,5]=>[5,3,8,7,6,1,4,2]
[2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]
[2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]
[2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]
[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]
[2,1,4,7,3,5,8,6]=>[6,8,5,3,7,4,1,2]
[2,4,1,7,3,5,8,6]=>[6,8,5,3,7,1,4,2]
[2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]
[2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]
[2,1,4,7,3,8,5,6]=>[6,5,8,3,7,4,1,2]
[2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]
[2,4,7,1,3,8,5,6]=>[6,5,8,3,1,7,4,2]
[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]
[2,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,2]
[2,4,7,1,8,3,5,6]=>[6,5,3,8,1,7,4,2]
[2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]
[2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]
[2,4,1,3,7,5,6,8]=>[8,6,5,7,3,1,4,2]
[2,1,4,7,3,5,6,8]=>[8,6,5,3,7,4,1,2]
[2,4,1,7,3,5,6,8]=>[8,6,5,3,7,1,4,2]
[2,4,7,1,3,5,6,8]=>[8,6,5,3,1,7,4,2]
[2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]
[2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]
[2,4,5,1,3,7,6,8]=>[8,6,7,3,1,5,4,2]
[2,1,4,5,7,3,6,8]=>[8,6,3,7,5,4,1,2]
[2,4,1,5,7,3,6,8]=>[8,6,3,7,5,1,4,2]
[2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]
[2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]
[2,4,1,3,5,7,8,6]=>[6,8,7,5,3,1,4,2]
[2,4,1,5,3,7,8,6]=>[6,8,7,3,5,1,4,2]
[2,4,5,1,3,7,8,6]=>[6,8,7,3,1,5,4,2]
[2,1,4,5,7,3,8,6]=>[6,8,3,7,5,4,1,2]
[2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]
[2,4,5,1,7,3,8,6]=>[6,8,3,7,1,5,4,2]
[2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]
[2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]
[2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]
[2,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,2]
[2,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,2]
[2,4,5,7,8,1,3,6]=>[6,3,1,8,7,5,4,2]
[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]
[2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]
[2,1,4,8,3,5,6,7]=>[7,6,5,3,8,4,1,2]
[2,4,1,8,3,5,6,7]=>[7,6,5,3,8,1,4,2]
[2,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,2]
[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]
[2,4,1,3,5,8,6,7]=>[7,6,8,5,3,1,4,2]
[2,1,4,5,3,8,6,7]=>[7,6,8,3,5,4,1,2]
[2,4,1,5,3,8,6,7]=>[7,6,8,3,5,1,4,2]
[2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]
[2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]
[2,4,1,5,8,3,6,7]=>[7,6,3,8,5,1,4,2]
[2,4,5,1,8,3,6,7]=>[7,6,3,8,1,5,4,2]
[2,4,5,8,1,3,6,7]=>[7,6,3,1,8,5,4,2]
[2,4,1,3,5,6,8,7]=>[7,8,6,5,3,1,4,2]
[2,4,1,5,3,6,8,7]=>[7,8,6,3,5,1,4,2]
[2,4,5,1,3,6,8,7]=>[7,8,6,3,1,5,4,2]
[2,4,1,5,6,3,8,7]=>[7,8,3,6,5,1,4,2]
[2,4,5,1,6,3,8,7]=>[7,8,3,6,1,5,4,2]
[2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]
[2,1,4,5,6,8,3,7]=>[7,3,8,6,5,4,1,2]
[2,4,1,5,6,8,3,7]=>[7,3,8,6,5,1,4,2]
[2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]
[2,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,2]
[2,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,2]
[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]
[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]
[2,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,2]
[2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]
[2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]
[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]
[2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]
[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]
[2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]
[2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]
[2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]
[2,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,2]
[2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]
[2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]
[2,5,1,3,6,4,8,7]=>[7,8,4,6,3,1,5,2]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]
[2,5,1,6,3,4,8,7]=>[7,8,4,3,6,1,5,2]
[2,5,6,1,3,4,8,7]=>[7,8,4,3,1,6,5,2]
[2,1,5,3,6,8,4,7]=>[7,4,8,6,3,5,1,2]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]
[2,1,5,6,3,8,4,7]=>[7,4,8,3,6,5,1,2]
[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]
[2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]
[2,1,5,6,8,3,4,7]=>[7,4,3,8,6,5,1,2]
[2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]
[2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]
[2,5,1,3,6,4,7,8]=>[8,7,4,6,3,1,5,2]
[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]
[2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]
[2,5,6,1,3,4,7,8]=>[8,7,4,3,1,6,5,2]
[2,1,5,3,6,7,4,8]=>[8,4,7,6,3,5,1,2]
[2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]
[2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]
[2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]
[2,5,6,1,3,7,4,8]=>[8,4,7,3,1,6,5,2]
[2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]
[2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]
[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]
[2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]
[2,1,5,3,6,7,8,4]=>[4,8,7,6,3,5,1,2]
[2,5,1,3,6,7,8,4]=>[4,8,7,6,3,1,5,2]
[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]
[2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]
[2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]
[2,1,5,6,7,3,8,4]=>[4,8,3,7,6,5,1,2]
[2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]
[2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]
[2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]
[2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]
[2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]
[2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]
[2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]
[2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]
[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]
[2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]
[2,1,5,7,3,4,8,6]=>[6,8,4,3,7,5,1,2]
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]
[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]
[2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]
[2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]
[2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]
[2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]
[2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]
[2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]
[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]
[2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]
[2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]
[2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]
[2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]
[2,5,7,1,3,4,6,8]=>[8,6,4,3,1,7,5,2]
[2,1,5,3,4,7,6,8]=>[8,6,7,4,3,5,1,2]
[2,5,1,3,4,7,6,8]=>[8,6,7,4,3,1,5,2]
[2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]
[2,1,3,5,7,4,6,8]=>[8,6,4,7,5,3,1,2]
[2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]
[2,3,5,1,7,4,6,8]=>[8,6,4,7,1,5,3,2]
[2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]
[2,1,5,3,4,7,8,6]=>[6,8,7,4,3,5,1,2]
[2,5,1,3,4,7,8,6]=>[6,8,7,4,3,1,5,2]
[2,3,5,1,4,7,8,6]=>[6,8,7,4,1,5,3,2]
[2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]
[2,3,1,5,7,4,8,6]=>[6,8,4,7,5,1,3,2]
[2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]
[2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]
[2,1,3,5,7,8,4,6]=>[6,4,8,7,5,3,1,2]
[2,3,1,5,7,8,4,6]=>[6,4,8,7,5,1,3,2]
[2,3,5,1,7,8,4,6]=>[6,4,8,7,1,5,3,2]
[2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]
[2,3,5,7,8,1,4,6]=>[6,4,1,8,7,5,3,2]
[2,1,5,3,8,4,6,7]=>[7,6,4,8,3,5,1,2]
[2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]
[2,1,5,8,3,4,6,7]=>[7,6,4,3,8,5,1,2]
[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]
[2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]
[2,1,5,3,4,8,6,7]=>[7,6,8,4,3,5,1,2]
[2,5,1,3,4,8,6,7]=>[7,6,8,4,3,1,5,2]
[2,1,3,5,4,8,6,7]=>[7,6,8,4,5,3,1,2]
[2,3,1,5,4,8,6,7]=>[7,6,8,4,5,1,3,2]
[2,3,5,1,4,8,6,7]=>[7,6,8,4,1,5,3,2]
[2,1,3,5,8,4,6,7]=>[7,6,4,8,5,3,1,2]
[2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]
[2,1,5,3,4,6,8,7]=>[7,8,6,4,3,5,1,2]
[2,5,1,3,4,6,8,7]=>[7,8,6,4,3,1,5,2]
[2,3,5,1,4,6,8,7]=>[7,8,6,4,1,5,3,2]
[2,3,5,1,6,4,8,7]=>[7,8,4,6,1,5,3,2]
[2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]
[2,1,3,5,6,8,4,7]=>[7,4,8,6,5,3,1,2]
[2,3,1,5,6,8,4,7]=>[7,4,8,6,5,1,3,2]
[2,3,5,1,6,8,4,7]=>[7,4,8,6,1,5,3,2]
[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]
[2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]
[2,1,5,3,4,6,7,8]=>[8,7,6,4,3,5,1,2]
[2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]
[2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]
[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]
[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]
[2,3,5,1,6,7,4,8]=>[8,4,7,6,1,5,3,2]
[2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]
[2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]
[2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]
[2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2]
[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]
[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]
[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]
[2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]
[2,6,1,7,3,4,8,5]=>[5,8,4,3,7,1,6,2]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]
[2,1,6,3,7,8,4,5]=>[5,4,8,7,3,6,1,2]
[2,6,1,3,7,8,4,5]=>[5,4,8,7,3,1,6,2]
[2,1,6,7,3,8,4,5]=>[5,4,8,3,7,6,1,2]
[2,6,1,7,3,8,4,5]=>[5,4,8,3,7,1,6,2]
[2,6,7,1,3,8,4,5]=>[5,4,8,3,1,7,6,2]
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]
[2,6,1,7,8,3,4,5]=>[5,4,3,8,7,1,6,2]
[2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]
[2,6,7,8,1,3,4,5]=>[5,4,3,1,8,7,6,2]
[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]
[2,6,1,3,7,4,5,8]=>[8,5,4,7,3,1,6,2]
[2,1,6,7,3,4,5,8]=>[8,5,4,3,7,6,1,2]
[2,6,1,7,3,4,5,8]=>[8,5,4,3,7,1,6,2]
[2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]
[2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]
[2,6,1,3,4,7,5,8]=>[8,5,7,4,3,1,6,2]
[2,1,3,6,4,7,5,8]=>[8,5,7,4,6,3,1,2]
[2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]
[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]
[2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]
[2,3,1,6,7,4,5,8]=>[8,5,4,7,6,1,3,2]
[2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]
[2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]
[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]
[2,6,1,3,4,7,8,5]=>[5,8,7,4,3,1,6,2]
[2,1,3,6,4,7,8,5]=>[5,8,7,4,6,3,1,2]
[2,3,1,6,4,7,8,5]=>[5,8,7,4,6,1,3,2]
[2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]
[2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]
[2,3,1,6,7,4,8,5]=>[5,8,4,7,6,1,3,2]
[2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]
[2,3,6,7,1,4,8,5]=>[5,8,4,1,7,6,3,2]
[2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]
[2,3,1,6,7,8,4,5]=>[5,4,8,7,6,1,3,2]
[2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]
[2,3,6,7,1,8,4,5]=>[5,4,8,1,7,6,3,2]
[2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]
[2,1,6,3,8,4,5,7]=>[7,5,4,8,3,6,1,2]
[2,6,1,3,8,4,5,7]=>[7,5,4,8,3,1,6,2]
[2,1,6,8,3,4,5,7]=>[7,5,4,3,8,6,1,2]
[2,6,1,8,3,4,5,7]=>[7,5,4,3,8,1,6,2]
[2,6,8,1,3,4,5,7]=>[7,5,4,3,1,8,6,2]
[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]
[2,6,1,3,4,8,5,7]=>[7,5,8,4,3,1,6,2]
[2,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,2]
[2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]
[2,3,6,1,4,8,5,7]=>[7,5,8,4,1,6,3,2]
[2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]
[2,3,1,6,8,4,5,7]=>[7,5,4,8,6,1,3,2]
[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]
[2,3,6,8,1,4,5,7]=>[7,5,4,1,8,6,3,2]
[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]
[2,6,1,3,4,5,8,7]=>[7,8,5,4,3,1,6,2]
[2,1,3,6,4,5,8,7]=>[7,8,5,4,6,3,1,2]
[2,3,1,6,4,5,8,7]=>[7,8,5,4,6,1,3,2]
[2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]
[2,3,4,6,1,5,8,7]=>[7,8,5,1,6,4,3,2]
[2,1,3,4,6,8,5,7]=>[7,5,8,6,4,3,1,2]
[2,3,1,4,6,8,5,7]=>[7,5,8,6,4,1,3,2]
[2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]
[2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]
[2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]
[2,1,6,3,4,5,7,8]=>[8,7,5,4,3,6,1,2]
[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]
[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]
[2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]
[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]
[2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]
[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]
[2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]
[2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]
[2,3,4,6,7,1,8,5]=>[5,8,1,7,6,4,3,2]
[2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]
[2,1,7,3,8,4,5,6]=>[6,5,4,8,3,7,1,2]
[2,7,1,3,8,4,5,6]=>[6,5,4,8,3,1,7,2]
[2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]
[2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]
[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]
[2,1,7,3,4,8,5,6]=>[6,5,8,4,3,7,1,2]
[2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]
[2,1,3,7,4,8,5,6]=>[6,5,8,4,7,3,1,2]
[2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]
[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]
[2,1,3,7,8,4,5,6]=>[6,5,4,8,7,3,1,2]
[2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]
[2,3,7,1,8,4,5,6]=>[6,5,4,8,1,7,3,2]
[2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]
[2,1,7,3,4,5,8,6]=>[6,8,5,4,3,7,1,2]
[2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]
[2,1,3,7,4,5,8,6]=>[6,8,5,4,7,3,1,2]
[2,3,1,7,4,5,8,6]=>[6,8,5,4,7,1,3,2]
[2,3,7,1,4,5,8,6]=>[6,8,5,4,1,7,3,2]
[2,1,3,4,7,5,8,6]=>[6,8,5,7,4,3,1,2]
[2,3,1,4,7,5,8,6]=>[6,8,5,7,4,1,3,2]
[2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]
[2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]
[2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]
[2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]
[2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]
[2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]
[2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]
[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]
[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]
[2,1,3,7,4,5,6,8]=>[8,6,5,4,7,3,1,2]
[2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]
[2,3,7,1,4,5,6,8]=>[8,6,5,4,1,7,3,2]
[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]
[2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]
[2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]
[2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]
[2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]
[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]
[2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]
[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]
[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]
[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]
[2,3,1,8,4,5,6,7]=>[7,6,5,4,8,1,3,2]
[2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2]
[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]
[2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]
[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]
[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]
[2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]
[2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]
[2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]
[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]
[3,1,4,6,2,5,8,7]=>[7,8,5,2,6,4,1,3]
[3,4,1,6,2,5,8,7]=>[7,8,5,2,6,1,4,3]
[3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]
[3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]
[3,1,4,6,2,8,5,7]=>[7,5,8,2,6,4,1,3]
[3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]
[3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]
[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]
[3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]
[3,4,6,1,8,2,5,7]=>[7,5,2,8,1,6,4,3]
[3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]
[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]
[3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]
[3,1,4,6,2,5,7,8]=>[8,7,5,2,6,4,1,3]
[3,4,1,6,2,5,7,8]=>[8,7,5,2,6,1,4,3]
[3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]
[3,1,4,2,6,7,5,8]=>[8,5,7,6,2,4,1,3]
[3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]
[3,1,4,6,2,7,5,8]=>[8,5,7,2,6,4,1,3]
[3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]
[3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]
[3,1,4,6,7,2,5,8]=>[8,5,2,7,6,4,1,3]
[3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]
[3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]
[3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]
[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]
[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]
[3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]
[3,4,1,6,2,7,8,5]=>[5,8,7,2,6,1,4,3]
[3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]
[3,1,4,6,7,2,8,5]=>[5,8,2,7,6,4,1,3]
[3,4,1,6,7,2,8,5]=>[5,8,2,7,6,1,4,3]
[3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]
[3,4,6,7,1,2,8,5]=>[5,8,2,1,7,6,4,3]
[3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]
[3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]
[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]
[3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]
[3,4,6,7,8,1,2,5]=>[5,2,1,8,7,6,4,3]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]
[3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]
[3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]
[3,4,7,1,2,5,8,6]=>[6,8,5,2,1,7,4,3]
[3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]
[3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]
[3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]
[3,1,4,7,8,2,5,6]=>[6,5,2,8,7,4,1,3]
[3,4,1,7,8,2,5,6]=>[6,5,2,8,7,1,4,3]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]
[3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]
[3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]
[3,1,4,7,2,5,6,8]=>[8,6,5,2,7,4,1,3]
[3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]
[3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]
[3,1,4,2,5,7,6,8]=>[8,6,7,5,2,4,1,3]
[3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]
[3,1,4,5,2,7,6,8]=>[8,6,7,2,5,4,1,3]
[3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]
[3,4,5,1,2,7,6,8]=>[8,6,7,2,1,5,4,3]
[3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]
[3,4,1,5,7,2,6,8]=>[8,6,2,7,5,1,4,3]
[3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]
[3,4,5,7,1,2,6,8]=>[8,6,2,1,7,5,4,3]
[3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]
[3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]
[3,1,4,5,2,7,8,6]=>[6,8,7,2,5,4,1,3]
[3,4,1,5,2,7,8,6]=>[6,8,7,2,5,1,4,3]
[3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]
[3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]
[3,4,1,5,7,2,8,6]=>[6,8,2,7,5,1,4,3]
[3,4,5,1,7,2,8,6]=>[6,8,2,7,1,5,4,3]
[3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]
[3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]
[3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]
[3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]
[3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]
[3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]
[3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]
[3,4,1,2,8,5,6,7]=>[7,6,5,8,2,1,4,3]
[3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]
[3,4,1,8,2,5,6,7]=>[7,6,5,2,8,1,4,3]
[3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]
[3,1,4,2,5,8,6,7]=>[7,6,8,5,2,4,1,3]
[3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]
[3,1,4,5,2,8,6,7]=>[7,6,8,2,5,4,1,3]
[3,4,1,5,2,8,6,7]=>[7,6,8,2,5,1,4,3]
[3,4,5,1,2,8,6,7]=>[7,6,8,2,1,5,4,3]
[3,1,4,5,8,2,6,7]=>[7,6,2,8,5,4,1,3]
[3,4,1,5,8,2,6,7]=>[7,6,2,8,5,1,4,3]
[3,4,5,1,8,2,6,7]=>[7,6,2,8,1,5,4,3]
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]
[3,1,4,2,5,6,8,7]=>[7,8,6,5,2,4,1,3]
[3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]
[3,1,4,5,2,6,8,7]=>[7,8,6,2,5,4,1,3]
[3,4,1,5,2,6,8,7]=>[7,8,6,2,5,1,4,3]
[3,4,5,1,2,6,8,7]=>[7,8,6,2,1,5,4,3]
[3,1,4,5,6,2,8,7]=>[7,8,2,6,5,4,1,3]
[3,4,1,5,6,2,8,7]=>[7,8,2,6,5,1,4,3]
[3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]
[3,4,5,6,1,2,8,7]=>[7,8,2,1,6,5,4,3]
[3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]
[3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]
[3,4,5,1,6,8,2,7]=>[7,2,8,6,1,5,4,3]
[3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]
[3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3]
[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]
[3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]
[3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3]
[3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]
[3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]
[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]
[3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]
[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]
[3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]
[3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]
[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]
[3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]
[3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]
[3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]
[3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]
[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]
[3,5,1,2,6,4,8,7]=>[7,8,4,6,2,1,5,3]
[3,1,5,6,2,4,8,7]=>[7,8,4,2,6,5,1,3]
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]
[3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]
[3,1,5,2,6,8,4,7]=>[7,4,8,6,2,5,1,3]
[3,5,1,2,6,8,4,7]=>[7,4,8,6,2,1,5,3]
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]
[3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]
[3,5,6,1,2,8,4,7]=>[7,4,8,2,1,6,5,3]
[3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]
[3,5,1,6,8,2,4,7]=>[7,4,2,8,6,1,5,3]
[3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]
[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]
[3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]
[3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]
[3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]
[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]
[3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]
[3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]
[3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]
[3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]
[3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]
[3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]
[3,1,5,6,7,2,4,8]=>[8,4,2,7,6,5,1,3]
[3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]
[3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]
[3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]
[3,1,5,2,6,7,8,4]=>[4,8,7,6,2,5,1,3]
[3,5,1,2,6,7,8,4]=>[4,8,7,6,2,1,5,3]
[3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]
[3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]
[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]
[3,1,5,6,7,2,8,4]=>[4,8,2,7,6,5,1,3]
[3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]
[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]
[3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]
[3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]
[3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]
[3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]
[3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]
[3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]
[3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]
[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]
[3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]
[3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]
[3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]
[3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]
[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]
[3,5,1,7,8,2,4,6]=>[6,4,2,8,7,1,5,3]
[3,5,7,1,8,2,4,6]=>[6,4,2,8,1,7,5,3]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]
[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]
[3,5,1,2,7,4,6,8]=>[8,6,4,7,2,1,5,3]
[3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]
[3,5,1,7,2,4,6,8]=>[8,6,4,2,7,1,5,3]
[3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]
[3,1,5,2,4,7,6,8]=>[8,6,7,4,2,5,1,3]
[3,5,1,2,4,7,6,8]=>[8,6,7,4,2,1,5,3]
[3,1,2,5,4,7,6,8]=>[8,6,7,4,5,2,1,3]
[1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]
[3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]
[1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]
[1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]
[3,1,5,2,4,7,8,6]=>[6,8,7,4,2,5,1,3]
[3,5,1,2,4,7,8,6]=>[6,8,7,4,2,1,5,3]
[3,1,2,5,4,7,8,6]=>[6,8,7,4,5,2,1,3]
[1,3,5,2,4,7,8,6]=>[6,8,7,4,2,5,3,1]
[3,1,2,5,7,4,8,6]=>[6,8,4,7,5,2,1,3]
[1,3,2,5,7,4,8,6]=>[6,8,4,7,5,2,3,1]
[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]
[1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]
[3,1,2,5,7,8,4,6]=>[6,4,8,7,5,2,1,3]
[1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]
[1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]
[1,3,5,7,2,8,4,6]=>[6,4,8,2,7,5,3,1]
[1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]
[3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]
[3,5,1,2,8,4,6,7]=>[7,6,4,8,2,1,5,3]
[3,1,5,8,2,4,6,7]=>[7,6,4,2,8,5,1,3]
[3,5,1,8,2,4,6,7]=>[7,6,4,2,8,1,5,3]
[3,5,8,1,2,4,6,7]=>[7,6,4,2,1,8,5,3]
[3,1,5,2,4,8,6,7]=>[7,6,8,4,2,5,1,3]
[3,5,1,2,4,8,6,7]=>[7,6,8,4,2,1,5,3]
[3,1,2,5,4,8,6,7]=>[7,6,8,4,5,2,1,3]
[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]
[1,3,5,2,4,8,6,7]=>[7,6,8,4,2,5,3,1]
[3,1,2,5,8,4,6,7]=>[7,6,4,8,5,2,1,3]
[1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]
[1,3,5,2,8,4,6,7]=>[7,6,4,8,2,5,3,1]
[1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1]
[3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3]
[3,5,1,2,4,6,8,7]=>[7,8,6,4,2,1,5,3]
[3,1,2,5,4,6,8,7]=>[7,8,6,4,5,2,1,3]
[1,3,5,2,4,6,8,7]=>[7,8,6,4,2,5,3,1]
[3,1,2,5,6,4,8,7]=>[7,8,4,6,5,2,1,3]
[1,3,5,2,6,4,8,7]=>[7,8,4,6,2,5,3,1]
[1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]
[3,1,2,5,6,8,4,7]=>[7,4,8,6,5,2,1,3]
[1,3,2,5,6,8,4,7]=>[7,4,8,6,5,2,3,1]
[1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]
[1,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,1]
[1,3,5,6,8,2,4,7]=>[7,4,2,8,6,5,3,1]
[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]
[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]
[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]
[1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1]
[3,1,2,5,6,4,7,8]=>[8,7,4,6,5,2,1,3]
[1,3,5,2,6,4,7,8]=>[8,7,4,6,2,5,3,1]
[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]
[3,1,2,5,6,7,4,8]=>[8,4,7,6,5,2,1,3]
[1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]
[1,3,5,6,7,2,4,8]=>[8,4,2,7,6,5,3,1]
[3,1,2,5,6,7,8,4]=>[4,8,7,6,5,2,1,3]
[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]
[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]
[1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]
[1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]
[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]
[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]
[3,1,6,7,2,4,8,5]=>[5,8,4,2,7,6,1,3]
[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]
[3,6,7,1,2,4,8,5]=>[5,8,4,2,1,7,6,3]
[3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3]
[3,6,1,2,7,8,4,5]=>[5,4,8,7,2,1,6,3]
[3,1,6,7,2,8,4,5]=>[5,4,8,2,7,6,1,3]
[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]
[3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]
[3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]
[3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]
[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]
[3,6,1,2,7,4,5,8]=>[8,5,4,7,2,1,6,3]
[3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]
[3,6,1,7,2,4,5,8]=>[8,5,4,2,7,1,6,3]
[3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]
[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]
[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]
[3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]
[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]
[1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]
[3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]
[1,3,2,6,7,4,5,8]=>[8,5,4,7,6,2,3,1]
[1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]
[1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]
[3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]
[3,6,1,2,4,7,8,5]=>[5,8,7,4,2,1,6,3]
[3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]
[1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]
[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]
[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]
[1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]
[1,3,6,2,7,4,8,5]=>[5,8,4,7,2,6,3,1]
[1,3,6,7,2,4,8,5]=>[5,8,4,2,7,6,3,1]
[3,1,2,6,7,8,4,5]=>[5,4,8,7,6,2,1,3]
[1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]
[1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]
[1,3,6,7,2,8,4,5]=>[5,4,8,2,7,6,3,1]
[1,3,6,7,8,2,4,5]=>[5,4,2,8,7,6,3,1]
[3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]
[3,6,1,2,8,4,5,7]=>[7,5,4,8,2,1,6,3]
[3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]
[3,6,1,8,2,4,5,7]=>[7,5,4,2,8,1,6,3]
[3,6,8,1,2,4,5,7]=>[7,5,4,2,1,8,6,3]
[3,1,6,2,4,8,5,7]=>[7,5,8,4,2,6,1,3]
[3,6,1,2,4,8,5,7]=>[7,5,8,4,2,1,6,3]
[3,1,2,6,4,8,5,7]=>[7,5,8,4,6,2,1,3]
[1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]
[1,3,6,2,4,8,5,7]=>[7,5,8,4,2,6,3,1]
[3,1,2,6,8,4,5,7]=>[7,5,4,8,6,2,1,3]
[1,3,2,6,8,4,5,7]=>[7,5,4,8,6,2,3,1]
[1,3,6,2,8,4,5,7]=>[7,5,4,8,2,6,3,1]
[1,3,6,8,2,4,5,7]=>[7,5,4,2,8,6,3,1]
[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]
[3,6,1,2,4,5,8,7]=>[7,8,5,4,2,1,6,3]
[3,1,2,6,4,5,8,7]=>[7,8,5,4,6,2,1,3]
[1,3,2,6,4,5,8,7]=>[7,8,5,4,6,2,3,1]
[1,3,6,2,4,5,8,7]=>[7,8,5,4,2,6,3,1]
[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]
[1,3,4,6,2,5,8,7]=>[7,8,5,2,6,4,3,1]
[3,1,2,4,6,8,5,7]=>[7,5,8,6,4,2,1,3]
[1,3,2,4,6,8,5,7]=>[7,5,8,6,4,2,3,1]
[1,3,4,2,6,8,5,7]=>[7,5,8,6,2,4,3,1]
[1,3,4,6,2,8,5,7]=>[7,5,8,2,6,4,3,1]
[1,3,4,6,8,2,5,7]=>[7,5,2,8,6,4,3,1]
[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]
[3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]
[3,1,2,6,4,5,7,8]=>[8,7,5,4,6,2,1,3]
[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]
[1,3,6,2,4,5,7,8]=>[8,7,5,4,2,6,3,1]
[3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]
[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]
[3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]
[1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]
[1,3,4,6,7,2,5,8]=>[8,5,2,7,6,4,3,1]
[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]
[1,3,4,6,2,7,8,5]=>[5,8,7,2,6,4,3,1]
[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]
[1,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,1]
[3,1,7,2,8,4,5,6]=>[6,5,4,8,2,7,1,3]
[3,7,1,2,8,4,5,6]=>[6,5,4,8,2,1,7,3]
[3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]
[3,7,1,8,2,4,5,6]=>[6,5,4,2,8,1,7,3]
[3,7,8,1,2,4,5,6]=>[6,5,4,2,1,8,7,3]
[3,1,7,2,4,8,5,6]=>[6,5,8,4,2,7,1,3]
[3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]
[3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]
[1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]
[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]
[3,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,3]
[1,3,2,7,8,4,5,6]=>[6,5,4,8,7,2,3,1]
[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]
[1,3,7,8,2,4,5,6]=>[6,5,4,2,8,7,3,1]
[3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]
[3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]
[3,1,2,7,4,5,8,6]=>[6,8,5,4,7,2,1,3]
[1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]
[1,3,7,2,4,5,8,6]=>[6,8,5,4,2,7,3,1]
[3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]
[1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]
[1,3,4,2,7,5,8,6]=>[6,8,5,7,2,4,3,1]
[1,3,4,7,2,5,8,6]=>[6,8,5,2,7,4,3,1]
[3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]
[1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]
[1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]
[1,3,4,7,2,8,5,6]=>[6,5,8,2,7,4,3,1]
[1,3,4,7,8,2,5,6]=>[6,5,2,8,7,4,3,1]
[3,1,7,2,4,5,6,8]=>[8,6,5,4,2,7,1,3]
[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]
[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]
[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]
[3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3]
[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]
[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]
[1,3,4,5,7,2,6,8]=>[8,6,2,7,5,4,3,1]
[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]
[1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]
[3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]
[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]
[3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]
[1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]
[1,3,8,2,4,5,6,7]=>[7,6,5,4,2,8,3,1]
[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]
[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]
[1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]
[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]
[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]
[1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]
[1,3,4,5,2,8,6,7]=>[7,6,8,2,5,4,3,1]
[1,3,4,5,8,2,6,7]=>[7,6,2,8,5,4,3,1]
[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]
[1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]
[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]
[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]
[4,1,5,6,2,3,8,7]=>[7,8,3,2,6,5,1,4]
[4,5,1,6,2,3,8,7]=>[7,8,3,2,6,1,5,4]
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]
[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]
[4,5,1,2,6,8,3,7]=>[7,3,8,6,2,1,5,4]
[4,1,5,6,2,8,3,7]=>[7,3,8,2,6,5,1,4]
[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]
[4,5,6,1,2,8,3,7]=>[7,3,8,2,1,6,5,4]
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]
[4,5,1,6,8,2,3,7]=>[7,3,2,8,6,1,5,4]
[4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]
[4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]
[4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]
[4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]
[4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]
[4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]
[4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]
[4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]
[4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]
[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]
[4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]
[4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]
[4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]
[4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]
[4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]
[4,5,1,2,6,7,8,3]=>[3,8,7,6,2,1,5,4]
[4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]
[4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]
[4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]
[4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]
[4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]
[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]
[4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]
[4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]
[4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]
[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]
[4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]
[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]
[4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4]
[4,1,5,7,2,3,8,6]=>[6,8,3,2,7,5,1,4]
[4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]
[4,5,7,1,2,3,8,6]=>[6,8,3,2,1,7,5,4]
[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]
[4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]
[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]
[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]
[4,1,5,7,8,2,3,6]=>[6,3,2,8,7,5,1,4]
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]
[4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]
[4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]
[4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]
[4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]
[4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]
[4,5,1,7,2,3,6,8]=>[8,6,3,2,7,1,5,4]
[4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]
[4,1,5,2,3,7,6,8]=>[8,6,7,3,2,5,1,4]
[4,5,1,2,3,7,6,8]=>[8,6,7,3,2,1,5,4]
[4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]
[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]
[1,4,5,2,3,7,6,8]=>[8,6,7,3,2,5,4,1]
[4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]
[1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]
[1,4,5,2,7,3,6,8]=>[8,6,3,7,2,5,4,1]
[1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]
[4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]
[4,5,1,2,3,7,8,6]=>[6,8,7,3,2,1,5,4]
[4,1,2,5,3,7,8,6]=>[6,8,7,3,5,2,1,4]
[1,4,2,5,3,7,8,6]=>[6,8,7,3,5,2,4,1]
[1,4,5,2,3,7,8,6]=>[6,8,7,3,2,5,4,1]
[4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]
[1,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,1]
[1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]
[1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]
[4,1,2,5,7,8,3,6]=>[6,3,8,7,5,2,1,4]
[1,4,2,5,7,8,3,6]=>[6,3,8,7,5,2,4,1]
[1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]
[1,4,5,7,2,8,3,6]=>[6,3,8,2,7,5,4,1]
[1,4,5,7,8,2,3,6]=>[6,3,2,8,7,5,4,1]
[4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]
[4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]
[4,1,5,8,2,3,6,7]=>[7,6,3,2,8,5,1,4]
[4,5,1,8,2,3,6,7]=>[7,6,3,2,8,1,5,4]
[4,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,4]
[4,1,5,2,3,8,6,7]=>[7,6,8,3,2,5,1,4]
[4,5,1,2,3,8,6,7]=>[7,6,8,3,2,1,5,4]
[4,1,2,5,3,8,6,7]=>[7,6,8,3,5,2,1,4]
[1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]
[1,4,5,2,3,8,6,7]=>[7,6,8,3,2,5,4,1]
[4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]
[1,4,2,5,8,3,6,7]=>[7,6,3,8,5,2,4,1]
[1,4,5,2,8,3,6,7]=>[7,6,3,8,2,5,4,1]
[1,4,5,8,2,3,6,7]=>[7,6,3,2,8,5,4,1]
[4,1,5,2,3,6,8,7]=>[7,8,6,3,2,5,1,4]
[4,5,1,2,3,6,8,7]=>[7,8,6,3,2,1,5,4]
[4,1,2,5,3,6,8,7]=>[7,8,6,3,5,2,1,4]
[1,4,2,5,3,6,8,7]=>[7,8,6,3,5,2,4,1]
[1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]
[4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]
[1,4,2,5,6,3,8,7]=>[7,8,3,6,5,2,4,1]
[1,4,5,2,6,3,8,7]=>[7,8,3,6,2,5,4,1]
[1,4,5,6,2,3,8,7]=>[7,8,3,2,6,5,4,1]
[4,1,2,5,6,8,3,7]=>[7,3,8,6,5,2,1,4]
[1,4,2,5,6,8,3,7]=>[7,3,8,6,5,2,4,1]
[1,4,5,2,6,8,3,7]=>[7,3,8,6,2,5,4,1]
[1,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,1]
[1,4,5,6,8,2,3,7]=>[7,3,2,8,6,5,4,1]
[4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]
[4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]
[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]
[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]
[4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]
[1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]
[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]
[1,4,5,6,2,3,7,8]=>[8,7,3,2,6,5,4,1]
[4,1,2,5,6,7,3,8]=>[8,3,7,6,5,2,1,4]
[1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]
[1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]
[1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]
[4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]
[1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1]
[1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]
[1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]
[1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]
[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]
[4,6,1,2,7,3,8,5]=>[5,8,3,7,2,1,6,4]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]
[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]
[4,6,7,1,2,3,8,5]=>[5,8,3,2,1,7,6,4]
[4,1,6,2,7,8,3,5]=>[5,3,8,7,2,6,1,4]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]
[4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]
[4,6,7,1,2,8,3,5]=>[5,3,8,2,1,7,6,4]
[4,1,6,7,8,2,3,5]=>[5,3,2,8,7,6,1,4]
[4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]
[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]
[4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]
[4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]
[4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]
[4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]
[4,1,6,2,3,7,5,8]=>[8,5,7,3,2,6,1,4]
[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]
[4,1,2,6,3,7,5,8]=>[8,5,7,3,6,2,1,4]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]
[1,4,6,2,3,7,5,8]=>[8,5,7,3,2,6,4,1]
[4,1,2,6,7,3,5,8]=>[8,5,3,7,6,2,1,4]
[1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]
[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]
[4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]
[4,1,2,6,3,7,8,5]=>[5,8,7,3,6,2,1,4]
[1,4,2,6,3,7,8,5]=>[5,8,7,3,6,2,4,1]
[1,4,6,2,3,7,8,5]=>[5,8,7,3,2,6,4,1]
[4,1,2,6,7,3,8,5]=>[5,8,3,7,6,2,1,4]
[1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]
[1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]
[1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]
[4,1,2,6,7,8,3,5]=>[5,3,8,7,6,2,1,4]
[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]
[1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]
[1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]
[1,4,6,7,8,2,3,5]=>[5,3,2,8,7,6,4,1]
[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]
[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]
[4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]
[4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]
[4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4]
[4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]
[4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]
[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]
[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]
[1,4,6,2,3,8,5,7]=>[7,5,8,3,2,6,4,1]
[4,1,2,6,8,3,5,7]=>[7,5,3,8,6,2,1,4]
[1,4,2,6,8,3,5,7]=>[7,5,3,8,6,2,4,1]
[1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]
[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]
[4,1,6,2,3,5,8,7]=>[7,8,5,3,2,6,1,4]
[4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]
[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]
[1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]
[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]
[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]
[1,4,2,3,6,5,8,7]=>[7,8,5,6,3,2,4,1]
[1,2,4,6,3,5,8,7]=>[7,8,5,3,6,4,2,1]
[4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]
[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]
[1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]
[1,2,4,6,3,8,5,7]=>[7,5,8,3,6,4,2,1]
[1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1]
[4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]
[4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]
[4,1,2,6,3,5,7,8]=>[8,7,5,3,6,2,1,4]
[1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]
[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]
[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]
[1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]
[4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]
[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]
[1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]
[1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]
[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]
[1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]
[1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]
[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]
[4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]
[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]
[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]
[4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]
[4,1,7,2,3,8,5,6]=>[6,5,8,3,2,7,1,4]
[4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]
[4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]
[1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]
[1,4,7,2,3,8,5,6]=>[6,5,8,3,2,7,4,1]
[4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]
[1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]
[1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]
[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]
[4,1,7,2,3,5,8,6]=>[6,8,5,3,2,7,1,4]
[4,7,1,2,3,5,8,6]=>[6,8,5,3,2,1,7,4]
[4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]
[1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]
[1,4,7,2,3,5,8,6]=>[6,8,5,3,2,7,4,1]
[4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]
[1,4,2,3,7,5,8,6]=>[6,8,5,7,3,2,4,1]
[1,2,4,3,7,5,8,6]=>[6,8,5,7,3,4,2,1]
[1,2,4,7,3,5,8,6]=>[6,8,5,3,7,4,2,1]
[4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]
[1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]
[1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]
[1,2,4,7,3,8,5,6]=>[6,5,8,3,7,4,2,1]
[1,2,4,7,8,3,5,6]=>[6,5,3,8,7,4,2,1]
[4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]
[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]
[4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]
[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]
[1,4,7,2,3,5,6,8]=>[8,6,5,3,2,7,4,1]
[4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]
[1,2,4,3,7,5,6,8]=>[8,6,5,7,3,4,2,1]
[1,2,4,7,3,5,6,8]=>[8,6,5,3,7,4,2,1]
[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]
[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]
[1,2,4,5,7,3,6,8]=>[8,6,3,7,5,4,2,1]
[4,1,2,3,5,7,8,6]=>[6,8,7,5,3,2,1,4]
[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]
[1,2,4,5,7,3,8,6]=>[6,8,3,7,5,4,2,1]
[1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]
[4,1,8,2,3,5,6,7]=>[7,6,5,3,2,8,1,4]
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]
[4,1,2,8,3,5,6,7]=>[7,6,5,3,8,2,1,4]
[1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]
[1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]
[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]
[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]
[1,2,4,8,3,5,6,7]=>[7,6,5,3,8,4,2,1]
[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]
[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]
[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]
[1,2,4,5,3,8,6,7]=>[7,6,8,3,5,4,2,1]
[1,2,4,5,8,3,6,7]=>[7,6,3,8,5,4,2,1]
[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]
[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]
[1,2,4,5,6,8,3,7]=>[7,3,8,6,5,4,2,1]
[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]
[5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]
[5,6,1,7,2,3,8,4]=>[4,8,3,2,7,1,6,5]
[5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]
[5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]
[5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]
[5,6,7,1,2,8,3,4]=>[4,3,8,2,1,7,6,5]
[5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]
[5,6,1,7,8,2,3,4]=>[4,3,2,8,7,1,6,5]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]
[5,1,6,2,7,3,4,8]=>[8,4,3,7,2,6,1,5]
[5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]
[5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]
[5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]
[5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]
[5,6,1,2,3,7,4,8]=>[8,4,7,3,2,1,6,5]
[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]
[1,5,6,2,3,7,4,8]=>[8,4,7,3,2,6,5,1]
[5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]
[1,5,2,6,7,3,4,8]=>[8,4,3,7,6,2,5,1]
[1,5,6,2,7,3,4,8]=>[8,4,3,7,2,6,5,1]
[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]
[5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]
[5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]
[1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]
[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]
[5,1,2,6,7,3,8,4]=>[4,8,3,7,6,2,1,5]
[1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]
[1,5,6,2,7,3,8,4]=>[4,8,3,7,2,6,5,1]
[1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]
[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]
[1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]
[1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]
[1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]
[1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]
[5,1,6,2,8,3,4,7]=>[7,4,3,8,2,6,1,5]
[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]
[5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]
[5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]
[5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]
[5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]
[5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]
[5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]
[1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]
[1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]
[5,1,2,6,8,3,4,7]=>[7,4,3,8,6,2,1,5]
[1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]
[1,5,6,2,8,3,4,7]=>[7,4,3,8,2,6,5,1]
[1,5,6,8,2,3,4,7]=>[7,4,3,2,8,6,5,1]
[5,1,6,2,3,4,8,7]=>[7,8,4,3,2,6,1,5]
[5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]
[5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]
[1,5,2,6,3,4,8,7]=>[7,8,4,3,6,2,5,1]
[1,5,6,2,3,4,8,7]=>[7,8,4,3,2,6,5,1]
[5,1,2,3,6,4,8,7]=>[7,8,4,6,3,2,1,5]
[1,5,2,3,6,4,8,7]=>[7,8,4,6,3,2,5,1]
[1,2,5,3,6,4,8,7]=>[7,8,4,6,3,5,2,1]
[1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]
[5,1,2,3,6,8,4,7]=>[7,4,8,6,3,2,1,5]
[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]
[1,2,5,3,6,8,4,7]=>[7,4,8,6,3,5,2,1]
[1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1]
[1,2,5,6,8,3,4,7]=>[7,4,3,8,6,5,2,1]
[5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]
[5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]
[1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]
[1,5,6,2,3,4,7,8]=>[8,7,4,3,2,6,5,1]
[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]
[1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]
[5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]
[1,5,2,3,6,7,4,8]=>[8,4,7,6,3,2,5,1]
[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]
[1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]
[1,2,5,6,7,3,4,8]=>[8,4,3,7,6,5,2,1]
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]
[1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]
[1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]
[1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]
[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]
[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]
[5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]
[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]
[5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]
[5,7,1,8,2,3,4,6]=>[6,4,3,2,8,1,7,5]
[5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]
[5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]
[5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]
[5,1,2,7,3,8,4,6]=>[6,4,8,3,7,2,1,5]
[1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]
[1,5,7,2,3,8,4,6]=>[6,4,8,3,2,7,5,1]
[5,1,2,7,8,3,4,6]=>[6,4,3,8,7,2,1,5]
[1,5,2,7,8,3,4,6]=>[6,4,3,8,7,2,5,1]
[1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]
[1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]
[5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]
[5,7,1,2,3,4,8,6]=>[6,8,4,3,2,1,7,5]
[5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]
[1,5,2,7,3,4,8,6]=>[6,8,4,3,7,2,5,1]
[1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]
[5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]
[1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]
[1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]
[1,2,5,7,3,4,8,6]=>[6,8,4,3,7,5,2,1]
[5,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,5]
[1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]
[1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]
[1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]
[1,2,5,7,8,3,4,6]=>[6,4,3,8,7,5,2,1]
[5,1,7,2,3,4,6,8]=>[8,6,4,3,2,7,1,5]
[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]
[5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]
[1,5,7,2,3,4,6,8]=>[8,6,4,3,2,7,5,1]
[5,1,2,3,7,4,6,8]=>[8,6,4,7,3,2,1,5]
[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]
[1,2,5,3,7,4,6,8]=>[8,6,4,7,3,5,2,1]
[1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]
[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]
[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]
[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]
[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]
[5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]
[1,5,2,3,4,7,8,6]=>[6,8,7,4,3,2,5,1]
[1,2,5,3,4,7,8,6]=>[6,8,7,4,3,5,2,1]
[1,2,3,5,7,4,8,6]=>[6,8,4,7,5,3,2,1]
[1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]
[5,1,8,2,3,4,6,7]=>[7,6,4,3,2,8,1,5]
[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]
[1,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,1]
[1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]
[5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]
[1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]
[1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]
[1,2,5,8,3,4,6,7]=>[7,6,4,3,8,5,2,1]
[5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]
[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]
[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]
[1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]
[1,2,3,5,8,4,6,7]=>[7,6,4,8,5,3,2,1]
[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]
[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]
[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]
[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]
[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]
[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]
[6,1,7,2,8,3,4,5]=>[5,4,3,8,2,7,1,6]
[6,7,1,2,8,3,4,5]=>[5,4,3,8,2,1,7,6]
[6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]
[6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]
[6,1,7,2,3,8,4,5]=>[5,4,8,3,2,7,1,6]
[6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]
[6,1,2,7,3,8,4,5]=>[5,4,8,3,7,2,1,6]
[1,6,2,7,3,8,4,5]=>[5,4,8,3,7,2,6,1]
[1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]
[6,1,2,7,8,3,4,5]=>[5,4,3,8,7,2,1,6]
[1,6,2,7,8,3,4,5]=>[5,4,3,8,7,2,6,1]
[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]
[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]
[6,1,7,2,3,4,8,5]=>[5,8,4,3,2,7,1,6]
[6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]
[6,1,2,7,3,4,8,5]=>[5,8,4,3,7,2,1,6]
[1,6,2,7,3,4,8,5]=>[5,8,4,3,7,2,6,1]
[1,6,7,2,3,4,8,5]=>[5,8,4,3,2,7,6,1]
[6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]
[1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]
[1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]
[1,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,1]
[6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]
[1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1]
[1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1]
[1,2,6,7,3,8,4,5]=>[5,4,8,3,7,6,2,1]
[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]
[6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]
[1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]
[6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]
[1,6,2,3,7,4,5,8]=>[8,5,4,7,3,2,6,1]
[1,2,6,3,7,4,5,8]=>[8,5,4,7,3,6,2,1]
[1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]
[6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]
[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]
[1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]
[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]
[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]
[6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]
[1,6,2,3,4,7,8,5]=>[5,8,7,4,3,2,6,1]
[1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]
[1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]
[1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]
[1,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,1]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]
[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]
[6,1,2,8,3,4,5,7]=>[7,5,4,3,8,2,1,6]
[1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]
[1,6,8,2,3,4,5,7]=>[7,5,4,3,2,8,6,1]
[6,1,2,3,8,4,5,7]=>[7,5,4,8,3,2,1,6]
[1,6,2,3,8,4,5,7]=>[7,5,4,8,3,2,6,1]
[1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]
[1,2,6,8,3,4,5,7]=>[7,5,4,3,8,6,2,1]
[6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]
[1,6,2,3,4,8,5,7]=>[7,5,8,4,3,2,6,1]
[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]
[1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]
[1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1]
[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]
[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]
[1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]
[1,2,3,6,4,5,8,7]=>[7,8,5,4,6,3,2,1]
[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]
[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]
[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]
[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]
[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]
[7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]
[1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]
[1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]
[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]
[1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]
[1,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,1]
[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]
[7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]
[1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1]
[1,2,7,3,4,8,5,6]=>[6,5,8,4,3,7,2,1]
[1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]
[1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1]
[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]
[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]
[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]
[1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]
[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]
[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]
[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]
[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]
[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]
[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]
[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]
[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]
[3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]
[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]
[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]
[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]
[4,2,6,1,3,5,7,8]=>[8,7,5,3,1,6,2,4]
[4,3,6,1,2,5,7,8]=>[8,7,5,2,1,6,3,4]
[5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]
[5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]
[6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]
[6,2,5,1,3,4,7,8]=>[8,7,4,3,1,5,2,6]
[6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]
[3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]
[4,2,7,1,3,5,6,8]=>[8,6,5,3,1,7,2,4]
[4,3,7,1,2,5,6,8]=>[8,6,5,2,1,7,3,4]
[5,2,7,1,3,4,6,8]=>[8,6,4,3,1,7,2,5]
[5,3,7,1,2,4,6,8]=>[8,6,4,2,1,7,3,5]
[5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]
[6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]
[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]
[6,4,7,1,2,3,5,8]=>[8,5,3,2,1,7,4,6]
[7,2,4,1,3,5,6,8]=>[8,6,5,3,1,4,2,7]
[7,2,5,1,3,4,6,8]=>[8,6,4,3,1,5,2,7]
[7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]
[7,2,6,1,3,4,5,8]=>[8,5,4,3,1,6,2,7]
[7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]
[7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]
[3,2,8,1,4,5,6,7]=>[7,6,5,4,1,8,2,3]
[4,2,8,1,3,5,6,7]=>[7,6,5,3,1,8,2,4]
[4,3,8,1,2,5,6,7]=>[7,6,5,2,1,8,3,4]
[5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]
[5,3,8,1,2,4,6,7]=>[7,6,4,2,1,8,3,5]
[5,4,8,1,2,3,6,7]=>[7,6,3,2,1,8,4,5]
[6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]
[6,3,8,1,2,4,5,7]=>[7,5,4,2,1,8,3,6]
[6,4,8,1,2,3,5,7]=>[7,5,3,2,1,8,4,6]
[6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]
[7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]
[7,3,8,1,2,4,5,6]=>[6,5,4,2,1,8,3,7]
[7,4,8,1,2,3,5,6]=>[6,5,3,2,1,8,4,7]
[7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]
[8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]
[8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]
[8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]
[8,2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2,8]
[8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]
[8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]
[8,2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2,8]
[8,3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3,8]
[8,4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4,8]
[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]
[3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3]
[4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]
[4,3,5,7,1,2,6,8]=>[8,6,2,1,7,5,3,4]
[5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]
[5,3,4,7,1,2,6,8]=>[8,6,2,1,7,4,3,5]
[3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]
[4,2,6,7,1,3,5,8]=>[8,5,3,1,7,6,2,4]
[4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]
[5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]
[6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]
[6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]
[6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]
[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]
[7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]
[7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]
[7,2,5,6,1,3,4,8]=>[8,4,3,1,6,5,2,7]
[7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]
[3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]
[4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]
[4,3,5,8,1,2,6,7]=>[7,6,2,1,8,5,3,4]
[5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]
[5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]
[3,2,6,8,1,4,5,7]=>[7,5,4,1,8,6,2,3]
[4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]
[4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]
[5,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,5]
[5,3,6,8,1,2,4,7]=>[7,4,2,1,8,6,3,5]
[5,4,6,8,1,2,3,7]=>[7,3,2,1,8,6,4,5]
[6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]
[6,3,4,8,1,2,5,7]=>[7,5,2,1,8,4,3,6]
[6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]
[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]
[6,4,5,8,1,2,3,7]=>[7,3,2,1,8,5,4,6]
[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]
[4,2,7,8,1,3,5,6]=>[6,5,3,1,8,7,2,4]
[4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]
[5,2,7,8,1,3,4,6]=>[6,4,3,1,8,7,2,5]
[5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]
[5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]
[6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]
[6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]
[6,4,7,8,1,2,3,5]=>[5,3,2,1,8,7,4,6]
[7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]
[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]
[7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]
[7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]
[7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]
[7,2,6,8,1,3,4,5]=>[5,4,3,1,8,6,2,7]
[7,3,6,8,1,2,4,5]=>[5,4,2,1,8,6,3,7]
[7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,7]
[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]
[8,3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3,8]
[8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]
[8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]
[8,2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2,8]
[8,3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3,8]
[8,2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2,8]
[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]
[8,4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4,8]
[8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]
[8,3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3,8]
[8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]
[3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]
[4,6,2,5,1,3,7,8]=>[8,7,3,1,5,2,6,4]
[4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]
[5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]
[3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]
[4,7,2,5,1,3,6,8]=>[8,6,3,1,5,2,7,4]
[4,7,3,5,1,2,6,8]=>[8,6,2,1,5,3,7,4]
[5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]
[5,7,3,4,1,2,6,8]=>[8,6,2,1,4,3,7,5]
[3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]
[4,7,2,6,1,3,5,8]=>[8,5,3,1,6,2,7,4]
[4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]
[5,7,2,6,1,3,4,8]=>[8,4,3,1,6,2,7,5]
[5,7,3,6,1,2,4,8]=>[8,4,2,1,6,3,7,5]
[5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]
[6,7,2,4,1,3,5,8]=>[8,5,3,1,4,2,7,6]
[6,7,2,5,1,3,4,8]=>[8,4,3,1,5,2,7,6]
[6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]
[3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]
[4,8,2,5,1,3,6,7]=>[7,6,3,1,5,2,8,4]
[4,8,3,5,1,2,6,7]=>[7,6,2,1,5,3,8,4]
[5,8,2,4,1,3,6,7]=>[7,6,3,1,4,2,8,5]
[5,8,3,4,1,2,6,7]=>[7,6,2,1,4,3,8,5]
[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]
[4,8,2,6,1,3,5,7]=>[7,5,3,1,6,2,8,4]
[4,8,3,6,1,2,5,7]=>[7,5,2,1,6,3,8,4]
[5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]
[5,8,3,6,1,2,4,7]=>[7,4,2,1,6,3,8,5]
[5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]
[6,8,2,4,1,3,5,7]=>[7,5,3,1,4,2,8,6]
[6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]
[6,8,2,5,1,3,4,7]=>[7,4,3,1,5,2,8,6]
[6,8,3,5,1,2,4,7]=>[7,4,2,1,5,3,8,6]
[6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]
[3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]
[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]
[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]
[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]
[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]
[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]
[6,8,2,7,1,3,4,5]=>[5,4,3,1,7,2,8,6]
[6,8,3,7,1,2,4,5]=>[5,4,2,1,7,3,8,6]
[6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]
[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]
[7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]
[7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]
[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]
[7,8,2,6,1,3,4,5]=>[5,4,3,1,6,2,8,7]
[7,8,3,6,1,2,4,5]=>[5,4,2,1,6,3,8,7]
[7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]
[4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]
[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]
[5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]
[6,3,2,5,1,4,7,8]=>[8,7,4,1,5,2,3,6]
[6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]
[6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]
[4,3,2,7,1,5,6,8]=>[8,6,5,1,7,2,3,4]
[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]
[5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]
[5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]
[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]
[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]
[6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]
[6,5,2,7,1,3,4,8]=>[8,4,3,1,7,2,5,6]
[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]
[7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]
[7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]
[7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]
[7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]
[7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]
[7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]
[7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]
[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]
[7,6,2,4,1,3,5,8]=>[8,5,3,1,4,2,6,7]
[7,6,2,5,1,3,4,8]=>[8,4,3,1,5,2,6,7]
[7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]
[4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]
[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]
[5,4,2,8,1,3,6,7]=>[7,6,3,1,8,2,4,5]
[5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]
[6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]
[6,4,2,8,1,3,5,7]=>[7,5,3,1,8,2,4,6]
[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]
[6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]
[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]
[6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]
[7,3,2,8,1,4,5,6]=>[6,5,4,1,8,2,3,7]
[7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]
[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]
[7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]
[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]
[7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]
[7,6,2,8,1,3,4,5]=>[5,4,3,1,8,2,6,7]
[7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]
[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]
[8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]
[8,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,8]
[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]
[8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]
[8,4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4,8]
[8,4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4,8]
[8,5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5,8]
[8,5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5,8]
[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]
[8,6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6,8]
[8,6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6,8]
[8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]
[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]
[8,4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4,8]
[8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]
[8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]
[8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]
[8,6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6,8]
[8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]
[8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]
[8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]
[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]
[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]
[8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]
[8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]
[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]
[3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]
[4,6,2,5,8,1,3,7]=>[7,3,1,8,5,2,6,4]
[4,6,3,5,8,1,2,7]=>[7,2,1,8,5,3,6,4]
[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]
[5,6,3,4,8,1,2,7]=>[7,2,1,8,4,3,6,5]
[3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]
[4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]
[4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]
[5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]
[5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]
[3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]
[4,7,2,6,8,1,3,5]=>[5,3,1,8,6,2,7,4]
[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]
[5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]
[5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]
[5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]
[6,7,2,4,8,1,3,5]=>[5,3,1,8,4,2,7,6]
[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]
[6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]
[6,7,3,5,8,1,2,4]=>[4,2,1,8,5,3,7,6]
[3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]
[4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]
[4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]
[5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]
[5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]
[3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]
[4,8,2,6,7,1,3,5]=>[5,3,1,7,6,2,8,4]
[4,8,3,6,7,1,2,5]=>[5,2,1,7,6,3,8,4]
[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]
[5,8,3,6,7,1,2,4]=>[4,2,1,7,6,3,8,5]
[5,8,4,6,7,1,2,3]=>[3,2,1,7,6,4,8,5]
[6,8,2,4,7,1,3,5]=>[5,3,1,7,4,2,8,6]
[6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]
[6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]
[6,8,3,5,7,1,2,4]=>[4,2,1,7,5,3,8,6]
[6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]
[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]
[7,8,3,4,6,1,2,5]=>[5,2,1,6,4,3,8,7]
[7,8,2,5,6,1,3,4]=>[4,3,1,6,5,2,8,7]
[7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]
[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]
[5,3,2,6,8,1,4,7]=>[7,4,1,8,6,2,3,5]
[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]
[5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]
[6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]
[6,4,2,5,8,1,3,7]=>[7,3,1,8,5,2,4,6]
[6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]
[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]
[6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]
[4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]
[5,3,2,7,8,1,4,6]=>[6,4,1,8,7,2,3,5]
[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]
[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]
[6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]
[6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]
[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]
[6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]
[7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]
[7,4,2,5,8,1,3,6]=>[6,3,1,8,5,2,4,7]
[7,4,3,5,8,1,2,6]=>[6,2,1,8,5,3,4,7]
[7,5,2,4,8,1,3,6]=>[6,3,1,8,4,2,5,7]
[7,5,3,4,8,1,2,6]=>[6,2,1,8,4,3,5,7]
[7,3,2,6,8,1,4,5]=>[5,4,1,8,6,2,3,7]
[7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]
[7,4,3,6,8,1,2,5]=>[5,2,1,8,6,3,4,7]
[7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]
[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]
[7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]
[7,6,3,4,8,1,2,5]=>[5,2,1,8,4,3,6,7]
[7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]
[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]
[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]
[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]
[8,4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4,8]
[8,5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5,8]
[8,5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5,8]
[8,3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3,8]
[8,4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4,8]
[8,4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4,8]
[8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]
[8,5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5,8]
[8,6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6,8]
[8,6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6,8]
[8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]
[8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]
[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]
[8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]
[8,7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7,8]
[8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]
[4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4]
[5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]
[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]
[5,4,7,3,6,1,2,8]=>[8,2,1,6,3,7,4,5]
[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]
[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]
[6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]
[6,5,7,2,4,1,3,8]=>[8,3,1,4,2,7,5,6]
[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]
[7,4,6,2,5,1,3,8]=>[8,3,1,5,2,6,4,7]
[7,4,6,3,5,1,2,8]=>[8,2,1,5,3,6,4,7]
[7,5,6,2,4,1,3,8]=>[8,3,1,4,2,6,5,7]
[4,3,8,2,6,1,5,7]=>[7,5,1,6,2,8,3,4]
[5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]
[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]
[5,4,8,3,6,1,2,7]=>[7,2,1,6,3,8,4,5]
[6,3,8,2,5,1,4,7]=>[7,4,1,5,2,8,3,6]
[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]
[6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]
[6,5,8,2,4,1,3,7]=>[7,3,1,4,2,8,5,6]
[6,5,8,3,4,1,2,7]=>[7,2,1,4,3,8,5,6]
[4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]
[5,3,8,2,7,1,4,6]=>[6,4,1,7,2,8,3,5]
[5,4,8,2,7,1,3,6]=>[6,3,1,7,2,8,4,5]
[5,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,5]
[6,3,8,2,7,1,4,5]=>[5,4,1,7,2,8,3,6]
[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]
[6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]
[6,5,8,2,7,1,3,4]=>[4,3,1,7,2,8,5,6]
[6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]
[6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]
[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]
[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]
[7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]
[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]
[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]
[7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]
[7,4,8,2,6,1,3,5]=>[5,3,1,6,2,8,4,7]
[7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]
[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]
[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]
[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]
[7,6,8,2,4,1,3,5]=>[5,3,1,4,2,8,6,7]
[7,6,8,2,5,1,3,4]=>[4,3,1,5,2,8,6,7]
[7,6,8,3,5,1,2,4]=>[4,2,1,5,3,8,6,7]
[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]
[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]
[8,4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4,8]
[8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]
[8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]
[8,4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4,8]
[8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]
[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]
[8,5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5,8]
[8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]
[8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]
[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]
[8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]
[8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]
[8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]
[8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]
[8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]
[8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]
[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]
[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]
[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]
[6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]
[7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]
[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]
[7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]
[7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]
[7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]
[7,6,5,2,4,1,3,8]=>[8,3,1,4,2,5,6,7]
[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]
[6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]
[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]
[6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]
[6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]
[7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]
[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]
[7,5,4,2,8,1,3,6]=>[6,3,1,8,2,4,5,7]
[7,5,4,3,8,1,2,6]=>[6,2,1,8,3,4,5,7]
[7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]
[7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]
[7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]
[7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]
[7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]
[8,4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4,8]
[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]
[8,5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5,8]
[8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]
[8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]
[8,6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6,8]
[8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]
[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]
[8,5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5,8]
[8,5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5,8]
[8,6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6,8]
[8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]
[8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]
[8,6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6,8]
[8,6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6,8]
[8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]
[8,7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7,8]
[8,7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7,8]
[8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]
[8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]
[8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]
[8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]
[8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]
[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]
[8,7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7,8]
[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]
[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]
[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]
[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]
[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]
[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]
[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]
[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]
[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]
[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]
[7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]
[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]
[7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]
[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]
[8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8]
[8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]
[8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]
[8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]
[8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]
[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]
[8,6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6,8]
[8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]
[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]
[8,7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7,8]
[8,7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7,8]
[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]
[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]
[7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7]
[7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]
[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]
[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]
[8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]
[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]
[8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8]
[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]
[8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]
[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]
[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]
[8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]
[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]
[8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]
[7,1,2,3,6,4,8,5]=>[5,8,4,6,3,2,1,7]
[5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]
[8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]
[4,1,2,8,3,7,5,6]=>[6,5,7,3,8,2,1,4]
[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]
[7,1,2,5,3,4,8,6]=>[6,8,4,3,5,2,1,7]
[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]
[7,1,2,6,3,4,8,5]=>[5,8,4,3,6,2,1,7]
[6,1,2,5,3,8,4,7]=>[7,4,8,3,5,2,1,6]
[8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]
[8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]
[6,1,2,5,3,7,8,4]=>[4,8,7,3,5,2,1,6]
[4,1,2,8,6,3,5,7]=>[7,5,3,6,8,2,1,4]
[4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]
[4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]
[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]
[8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]
[8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]
[7,1,2,5,6,3,8,4]=>[4,8,3,6,5,2,1,7]
[4,1,2,5,8,7,3,6]=>[6,3,7,8,5,2,1,4]
[4,1,2,8,6,7,3,5]=>[5,3,7,6,8,2,1,4]
[8,1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1,8]
[3,1,8,2,4,7,5,6]=>[6,5,7,4,2,8,1,3]
[3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]
[3,1,8,2,7,4,5,6]=>[6,5,4,7,2,8,1,3]
[3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]
[3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]
[3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]
[8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]
[7,1,4,2,3,5,8,6]=>[6,8,5,3,2,4,1,7]
[6,1,4,2,3,8,5,7]=>[7,5,8,3,2,4,1,6]
[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]
[6,1,4,2,3,7,8,5]=>[5,8,7,3,2,4,1,6]
[8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]
[7,1,5,2,3,4,8,6]=>[6,8,4,3,2,5,1,7]
[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]
[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]
[8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]
[6,1,8,2,3,7,4,5]=>[5,4,7,3,2,8,1,6]
[6,1,5,2,3,7,8,4]=>[4,8,7,3,2,5,1,6]
[5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]
[5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]
[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]
[8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]
[7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]
[8,1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1,8]
[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]
[7,1,8,2,6,3,4,5]=>[5,4,3,6,2,8,1,7]
[7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]
[5,1,4,2,6,8,3,7]=>[7,3,8,6,2,4,1,5]
[5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]
[8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]
[8,1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1,8]
[5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5]
[3,1,4,8,2,7,5,6]=>[6,5,7,2,8,4,1,3]
[3,1,8,5,2,4,6,7]=>[7,6,4,2,5,8,1,3]
[3,1,7,5,2,4,8,6]=>[6,8,4,2,5,7,1,3]
[3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]
[3,1,7,6,2,4,8,5]=>[5,8,4,2,6,7,1,3]
[3,1,6,5,2,8,4,7]=>[7,4,8,2,5,6,1,3]
[3,1,8,5,2,7,4,6]=>[6,4,7,2,5,8,1,3]
[3,1,8,6,2,7,4,5]=>[5,4,7,2,6,8,1,3]
[3,1,6,5,2,7,8,4]=>[4,8,7,2,5,6,1,3]
[8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]
[7,1,4,5,2,3,8,6]=>[6,8,3,2,5,4,1,7]
[8,1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1,8]
[7,1,4,8,2,3,5,6]=>[6,5,3,2,8,4,1,7]
[7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]
[8,1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1,8]
[7,1,8,5,2,3,4,6]=>[6,4,3,2,5,8,1,7]
[7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]
[7,1,6,5,2,3,8,4]=>[4,8,3,2,5,6,1,7]
[6,1,4,5,2,8,3,7]=>[7,3,8,2,5,4,1,6]
[8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]
[8,1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1,8]
[8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]
[6,1,4,5,2,7,8,3]=>[3,8,7,2,5,4,1,6]
[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]
[3,1,4,8,7,2,5,6]=>[6,5,2,7,8,4,1,3]
[3,1,4,7,6,2,8,5]=>[5,8,2,6,7,4,1,3]
[3,1,8,5,6,2,4,7]=>[7,4,2,6,5,8,1,3]
[3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]
[3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]
[3,1,7,5,6,2,8,4]=>[4,8,2,6,5,7,1,3]
[8,1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1,8]
[8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]
[8,1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1,8]
[8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]
[7,1,4,5,6,2,8,3]=>[3,8,2,6,5,4,1,7]
[3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]
[3,1,4,8,6,7,2,5]=>[5,2,7,6,8,4,1,3]
[3,1,8,5,6,7,2,4]=>[4,2,7,6,5,8,1,3]
[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]
[2,8,1,3,4,7,5,6]=>[6,5,7,4,3,1,8,2]
[2,8,1,3,6,4,5,7]=>[7,5,4,6,3,1,8,2]
[2,8,1,3,7,4,5,6]=>[6,5,4,7,3,1,8,2]
[2,7,1,3,6,4,8,5]=>[5,8,4,6,3,1,7,2]
[2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]
[2,8,1,3,6,7,4,5]=>[5,4,7,6,3,1,8,2]
[2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]
[2,8,1,5,3,4,6,7]=>[7,6,4,3,5,1,8,2]
[2,7,1,5,3,4,8,6]=>[6,8,4,3,5,1,7,2]
[2,8,1,6,3,4,5,7]=>[7,5,4,3,6,1,8,2]
[2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]
[2,6,1,5,3,8,4,7]=>[7,4,8,3,5,1,6,2]
[2,8,1,5,3,7,4,6]=>[6,4,7,3,5,1,8,2]
[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]
[2,6,1,5,3,7,8,4]=>[4,8,7,3,5,1,6,2]
[2,4,1,8,6,3,5,7]=>[7,5,3,6,8,1,4,2]
[2,4,1,8,7,3,5,6]=>[6,5,3,7,8,1,4,2]
[2,4,1,7,6,3,8,5]=>[5,8,3,6,7,1,4,2]
[2,8,1,5,6,3,4,7]=>[7,4,3,6,5,1,8,2]
[2,8,1,5,7,3,4,6]=>[6,4,3,7,5,1,8,2]
[2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]
[2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]
[2,4,1,5,8,7,3,6]=>[6,3,7,8,5,1,4,2]
[2,4,1,8,6,7,3,5]=>[5,3,7,6,8,1,4,2]
[2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2]
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]
[6,3,1,2,4,8,5,7]=>[7,5,8,4,2,1,3,6]
[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]
[6,3,1,2,4,7,8,5]=>[5,8,7,4,2,1,3,6]
[5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]
[5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]
[8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]
[8,3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3,8]
[7,3,1,2,6,4,8,5]=>[5,8,4,6,2,1,3,7]
[5,3,1,2,6,8,4,7]=>[7,4,8,6,2,1,3,5]
[5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]
[8,3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3,8]
[5,3,1,2,6,7,8,4]=>[4,8,7,6,2,1,3,5]
[7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]
[6,4,1,2,3,8,5,7]=>[7,5,8,3,2,1,4,6]
[8,4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4,8]
[6,4,1,2,3,7,8,5]=>[5,8,7,3,2,1,4,6]
[7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7]
[5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]
[8,6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6,8]
[5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]
[5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]
[8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]
[8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8]
[7,4,1,2,6,3,8,5]=>[5,8,3,6,2,1,4,7]
[5,8,1,2,6,3,4,7]=>[7,4,3,6,2,1,8,5]
[5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]
[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]
[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]
[5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]
[5,4,1,2,8,7,3,6]=>[6,3,7,8,2,1,4,5]
[8,4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4,8]
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]
[5,4,1,2,6,7,8,3]=>[3,8,7,6,2,1,4,5]
[4,3,1,8,2,5,6,7]=>[7,6,5,2,8,1,3,4]
[4,3,1,7,2,5,8,6]=>[6,8,5,2,7,1,3,4]
[4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]
[4,3,1,8,2,7,5,6]=>[6,5,7,2,8,1,3,4]
[4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]
[8,3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3,8]
[7,3,1,5,2,4,8,6]=>[6,8,4,2,5,1,3,7]
[8,3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3,8]
[7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]
[7,3,1,6,2,4,8,5]=>[5,8,4,2,6,1,3,7]
[6,3,1,5,2,8,4,7]=>[7,4,8,2,5,1,3,6]
[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]
[8,3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3,8]
[6,3,1,5,2,7,8,4]=>[4,8,7,2,5,1,3,6]
[8,4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4,8]
[7,4,1,5,2,3,8,6]=>[6,8,3,2,5,1,4,7]
[8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]
[7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]
[7,4,1,6,2,3,8,5]=>[5,8,3,2,6,1,4,7]
[6,8,1,5,2,3,4,7]=>[7,4,3,2,5,1,8,6]
[8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]
[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]
[6,7,1,5,2,3,8,4]=>[4,8,3,2,5,1,7,6]
[6,4,1,5,2,8,3,7]=>[7,3,8,2,5,1,4,6]
[8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]
[8,4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4,8]
[6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]
[6,4,1,5,2,7,8,3]=>[3,8,7,2,5,1,4,6]
[4,3,1,5,8,2,6,7]=>[7,6,2,8,5,1,3,4]
[4,3,1,5,7,2,8,6]=>[6,8,2,7,5,1,3,4]
[4,3,1,8,6,2,5,7]=>[7,5,2,6,8,1,3,4]
[4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]
[4,3,1,7,6,2,8,5]=>[5,8,2,6,7,1,3,4]
[8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]
[8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]
[8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]
[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]
[8,4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4,8]
[8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]
[8,4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4,8]
[7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]
[7,4,1,5,6,2,8,3]=>[3,8,2,6,5,1,4,7]
[4,3,1,5,6,8,2,7]=>[7,2,8,6,5,1,3,4]
[4,3,1,5,8,7,2,6]=>[6,2,7,8,5,1,3,4]
[4,3,1,8,6,7,2,5]=>[5,2,7,6,8,1,3,4]
[8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8]
[8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]
[4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]
[2,3,8,1,4,7,5,6]=>[6,5,7,4,1,8,3,2]
[2,3,8,1,6,4,5,7]=>[7,5,4,6,1,8,3,2]
[2,3,8,1,7,4,5,6]=>[6,5,4,7,1,8,3,2]
[2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]
[2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]
[2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]
[2,8,4,1,3,5,6,7]=>[7,6,5,3,1,4,8,2]
[2,7,4,1,3,5,8,6]=>[6,8,5,3,1,4,7,2]
[2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]
[2,8,4,1,3,7,5,6]=>[6,5,7,3,1,4,8,2]
[2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]
[2,8,5,1,3,4,6,7]=>[7,6,4,3,1,5,8,2]
[2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]
[2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2]
[2,6,5,1,3,8,4,7]=>[7,4,8,3,1,5,6,2]
[2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]
[2,6,8,1,3,7,4,5]=>[5,4,7,3,1,8,6,2]
[2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]
[2,5,4,1,8,3,6,7]=>[7,6,3,8,1,4,5,2]
[2,5,4,1,7,3,8,6]=>[6,8,3,7,1,4,5,2]
[2,8,4,1,6,3,5,7]=>[7,5,3,6,1,4,8,2]
[2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]
[2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]
[2,8,5,1,6,3,4,7]=>[7,4,3,6,1,5,8,2]
[2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]
[2,7,8,1,6,3,4,5]=>[5,4,3,6,1,8,7,2]
[2,7,5,1,6,3,8,4]=>[4,8,3,6,1,5,7,2]
[2,5,4,1,6,8,3,7]=>[7,3,8,6,1,4,5,2]
[2,5,4,1,8,7,3,6]=>[6,3,7,8,1,4,5,2]
[2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]
[2,8,5,1,6,7,3,4]=>[4,3,7,6,1,5,8,2]
[2,5,4,1,6,7,8,3]=>[3,8,7,6,1,4,5,2]
[7,3,4,1,2,5,8,6]=>[6,8,5,2,1,4,3,7]
[6,3,4,1,2,8,5,7]=>[7,5,8,2,1,4,3,6]
[8,3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3,8]
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]
[7,3,5,1,2,4,8,6]=>[6,8,4,2,1,5,3,7]
[6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]
[6,3,5,1,2,8,4,7]=>[7,4,8,2,1,5,3,6]
[8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]
[6,3,5,1,2,7,8,4]=>[4,8,7,2,1,5,3,6]
[7,5,4,1,2,3,8,6]=>[6,8,3,2,1,4,5,7]
[6,8,4,1,2,3,5,7]=>[7,5,3,2,1,4,8,6]
[6,7,4,1,2,3,8,5]=>[5,8,3,2,1,4,7,6]
[6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]
[6,7,5,1,2,3,8,4]=>[4,8,3,2,1,5,7,6]
[6,5,4,1,2,8,3,7]=>[7,3,8,2,1,4,5,6]
[8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]
[6,8,4,1,2,7,3,5]=>[5,3,7,2,1,4,8,6]
[6,8,5,1,2,7,3,4]=>[4,3,7,2,1,5,8,6]
[6,5,4,1,2,7,8,3]=>[3,8,7,2,1,4,5,6]
[5,3,4,1,8,2,6,7]=>[7,6,2,8,1,4,3,5]
[5,3,4,1,7,2,8,6]=>[6,8,2,7,1,4,3,5]
[8,3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3,8]
[8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]
[7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]
[8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]
[8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]
[7,3,8,1,6,2,4,5]=>[5,4,2,6,1,8,3,7]
[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]
[8,5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5,8]
[8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]
[7,8,5,1,6,2,3,4]=>[4,3,2,6,1,5,8,7]
[7,5,4,1,6,2,8,3]=>[3,8,2,6,1,4,5,7]
[5,3,4,1,6,8,2,7]=>[7,2,8,6,1,4,3,5]
[5,3,4,1,8,7,2,6]=>[6,2,7,8,1,4,3,5]
[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]
[8,3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3,8]
[8,5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5,8]
[5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]
[2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2]
[2,3,8,5,1,4,6,7]=>[7,6,4,1,5,8,3,2]
[2,3,7,5,1,4,8,6]=>[6,8,4,1,5,7,3,2]
[2,3,8,6,1,4,5,7]=>[7,5,4,1,6,8,3,2]
[2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]
[2,3,6,5,1,8,4,7]=>[7,4,8,1,5,6,3,2]
[2,3,8,5,1,7,4,6]=>[6,4,7,1,5,8,3,2]
[2,3,8,6,1,7,4,5]=>[5,4,7,1,6,8,3,2]
[2,3,6,5,1,7,8,4]=>[4,8,7,1,5,6,3,2]
[2,8,4,5,1,3,6,7]=>[7,6,3,1,5,4,8,2]
[2,7,4,5,1,3,8,6]=>[6,8,3,1,5,4,7,2]
[2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]
[2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]
[2,7,4,6,1,3,8,5]=>[5,8,3,1,6,4,7,2]
[2,8,6,5,1,3,4,7]=>[7,4,3,1,5,6,8,2]
[2,7,8,5,1,3,4,6]=>[6,4,3,1,5,8,7,2]
[2,7,8,6,1,3,4,5]=>[5,4,3,1,6,8,7,2]
[2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]
[2,6,4,5,1,8,3,7]=>[7,3,8,1,5,4,6,2]
[2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]
[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]
[2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]
[2,6,4,5,1,7,8,3]=>[3,8,7,1,5,4,6,2]
[7,3,4,5,1,2,8,6]=>[6,8,2,1,5,4,3,7]
[7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]
[8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]
[7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]
[7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]
[7,3,6,5,1,2,8,4]=>[4,8,2,1,5,6,3,7]
[7,6,4,5,1,2,8,3]=>[3,8,2,1,5,4,6,7]
[6,3,4,5,1,8,2,7]=>[7,2,8,1,5,4,3,6]
[8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]
[8,3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3,8]
[8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]
[8,6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6,8]
[6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6]
[2,3,4,8,6,1,5,7]=>[7,5,1,6,8,4,3,2]
[2,3,4,8,7,1,5,6]=>[6,5,1,7,8,4,3,2]
[2,3,4,7,6,1,8,5]=>[5,8,1,6,7,4,3,2]
[2,3,8,5,6,1,4,7]=>[7,4,1,6,5,8,3,2]
[2,3,8,5,7,1,4,6]=>[6,4,1,7,5,8,3,2]
[2,3,8,7,6,1,4,5]=>[5,4,1,6,7,8,3,2]
[2,3,7,5,6,1,8,4]=>[4,8,1,6,5,7,3,2]
[2,8,4,5,6,1,3,7]=>[7,3,1,6,5,4,8,2]
[2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2]
[2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2]
[2,8,7,5,6,1,3,4]=>[4,3,1,6,5,7,8,2]
[2,7,4,5,6,1,8,3]=>[3,8,1,6,5,4,7,2]
[8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]
[8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]
[8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]
[7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7]
[2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]
[2,3,4,8,6,7,1,5]=>[5,1,7,6,8,4,3,2]
[2,3,8,5,6,7,1,4]=>[4,1,7,6,5,8,3,2]
[2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2]
[3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]
[3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]
[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]
[3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]
[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]
[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]
[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]
[4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]
[3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]
[4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]
[4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]
[4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]
[4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]
[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]
[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]
[4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]
[4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]
[4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]
[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]
[2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]
[2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]
[3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]
[4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]
[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]
[4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]
[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]
[5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]
[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]
[4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]
[3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]
[2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]
[2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]
[3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]
[4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]
[5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]
[4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]
[4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]
[4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]
[4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]
[3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]
[3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]
[3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]
[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]
[3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]
[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]
[3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]
[3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]
[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]
[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]
[4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]
[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]
[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]
[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]
[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]
[2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]
[3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]
[4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]
[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]
[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]
[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]
[4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]
[3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]
[2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]
[3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]
[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]
[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]
[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]
[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]
[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]
[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]
[7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]
[8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]
[7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]
[6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]
[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]
[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]
[3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]
[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]
[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]
[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]
[7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]
[8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]
[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]
[6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]
[5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]
[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]
[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]
[2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]
[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]
[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]
[4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]
[5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]
[6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]
[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]
[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]
[4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]
[3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]
[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]
[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]
[3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]
[4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]
[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]
[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]
[6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]
[7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]
[8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]
[8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]
[7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]
[6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]
[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]
[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]
[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]
[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]
[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]
[7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]
[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]
[7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]
[5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]
[4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]
[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]
[2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]
[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]
[3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]
[4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]
[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]
[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]
[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]
[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]
[4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]
[3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]
[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]
[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]
[3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]
[4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]
[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]
[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]
[6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]
[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]
[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]
[5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]
[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]
[5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]
[5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]
[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]
[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]
[5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]
[5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]
[5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]
[5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]
[5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]
[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]
[5,4,2,6,8,1,7,3]=>[3,7,1,8,6,2,4,5]
[5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]
[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]
[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]
[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]
[5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]
[5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]
[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]
[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]
[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]
[6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]
[7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]
[7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]
[6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]
[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]
[5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]
[5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]
[5,3,2,7,1,6,8,4]=>[4,8,6,1,7,2,3,5]
[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]
[6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]
[6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]
[6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]
[6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]
[6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]
[6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]
[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]
[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]
[6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]
[5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]
[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]
[7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]
[7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]
[6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]
[5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]
[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]
[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]
[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]
[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]
[5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]
[6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]
[7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]
[6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]
[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]
[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]
[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]
[7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]
[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]
[6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]
[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]
[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]
[6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]
[7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]
[7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]
[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]
[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]
[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]
[7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]
[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]
[6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]
[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]
[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]
[5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]
[5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]
[6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]
[6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]
[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]
[6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]
[3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]
[2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]
[2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]
[2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]
[2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]
[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]
[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]
[2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]
[2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]
[3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]
[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]
[5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]
[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]
[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]
[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]
[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]
[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]
[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]
[6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]
[5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]
[5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]
[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]
[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]
[5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]
[5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]
[6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]
[6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]
[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]
[5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]
[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]
[4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]
[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]
[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]
[3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]
[3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]
[3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]
[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]
[4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]
[4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]
[4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]
[3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]
[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]
[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]
[3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]
[4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]
[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]
[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]
[2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]
[2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]
[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]
[5,1,3,2,6,4,8,7]=>[7,8,4,6,2,3,1,5]
[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]
[7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]
[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]
[8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]
[7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]
[6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]
[5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]
[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]
[3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]
[4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]
[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]
[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]
[5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]
[5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]
[6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]
[6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]
[7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]
[7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]
[4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]
[3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]
[2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]
[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]
[3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]
[4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]
[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]
[8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]
[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]
[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]
[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]
[7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]
[8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]
[5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]
[4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]
[3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]
[2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]
[2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]
[4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]
[5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]
[7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]
[6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]
[6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]
[8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]
[6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]
[6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]
[8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]
[8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]
[7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]
[6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]
[5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]
[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]
[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]
[3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]
[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]
[5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]
[6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]
[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]
[7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]
[7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]
[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]
[6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]
[5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]
[4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]
[3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]
[2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]
[2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]
[3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]
[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]
[5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]
[6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]
[8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]
[7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]
[6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]
[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]
[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]
[5,1,8,3,7,2,6,4]=>[4,6,2,7,3,8,1,5]
[4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]
[3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]
[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]
[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]
[3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]
[4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]
[5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]
[7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]
[8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]
[7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]
[3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]
[5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]
[5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]
[5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]
[5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]
[7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]
[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]
[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]
[4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]
[5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]
[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]
[3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]
[4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]
[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]
[4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]
[7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]
[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]
[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]
[6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]
[6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]
[7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]
[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]
[5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]
[7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]
[4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]
[7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]
[6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]
[6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]
[6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]
[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]
[5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]
[5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]
[5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]
[6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]
[6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]
[6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]
[6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]
[6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]
[5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]
[5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]
[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]
[5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]
[5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]
[5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]
[5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]
[6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]
[6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]
[7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]
[5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]
[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]
[7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]
[6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]
[6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]
[6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]
[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]
[3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]
[3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]
[5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]
[3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]
[3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]
[3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]
[5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]
[3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]
[3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]
[3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]
[6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]
[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]
[4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]
[5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]
[6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]
[6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]
[5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]
[5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]
[5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]
[5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]
[5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]
[5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]
[5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]
[5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]
[3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]
[6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]
[6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]
[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]
[5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]
[5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]
[5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]
[8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]
[8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]
[8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]
[5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]
[7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]
[7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]
[2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]
[8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]
[8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]
[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]
[8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]
[8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]
[8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]
[8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]
[8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]
[4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]
[7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]
[4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]
[4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]
[1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]
[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]
[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]
[5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]
[7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]
[7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]
[7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]
[4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]
[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]
[6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]
[3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]
[3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]
[4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]
[3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]
[6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]
[2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]
[4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]
[1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]
[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]
[3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]
[5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]
[5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]
[4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]
[4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]
[4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]
[3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]
[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]
[3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]
[3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]
[1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]
[4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]
[7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]
[7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]
[7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]
[6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]
[3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]
[6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]
[6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]
[2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]
[4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]
[7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]
[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]
[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]
[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]
[6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]
[6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]
[4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]
[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]
[5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]
[5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]
[2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]
[1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]
[1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]
[2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]
[6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]
[6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]
[6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]
[4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]
[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]
[8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]
[1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]
[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]
[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]
[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]
[5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]
[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]
[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]
[6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]
[5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]
[4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]
[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]
[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]
[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]
[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]
[7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]
[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]
[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]
[6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]
[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]
[4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]
[3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]
[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]
[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]
[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]
[6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]
[7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]
[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]
[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]
[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]
[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]
[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]
[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]
[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]
[5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]
[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]
[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]
[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]
[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]
[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]
[8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]
[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]
[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]
[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]
[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]
[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]
[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]
[8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]
[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]
[5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]
[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]
[3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]
[3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]
[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]
[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]
[6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]
[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]
[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]
[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]
[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]
[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]
[5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]
[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]
[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]
[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]
[5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]
[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]
[7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]
[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]
[3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]
[3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]
[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]
[4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]
[4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]
[1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]
[6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]
[6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]
[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]
[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]
[5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]
[6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]
[6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]
[7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]
[7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]
[7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]
[1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]
[1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]
[8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]
[8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]
[8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]
[8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]
[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]
[8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]
[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]
[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]
[1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]
[7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]
[7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]
[4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]
[3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]
[3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]
[1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]
[4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]
[3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]
[3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]
[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]
[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]
[4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]
[4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]
[4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]
[4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]
[5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]
[5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]
[1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]
[1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]
[6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]
[6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]
[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]
[5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]
[5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]
[5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]
[7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]
[7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]
[1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]
[1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]
[8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]
[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]
[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]
[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]
[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]
[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]
[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]
[4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]
[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]
[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]
[4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]
[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]
[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]
[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]
[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]
[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]
[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]
[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]
[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]
[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]
[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]
[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]
[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]
[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]
[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]
[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]
[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]
[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]
[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]
[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]
[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]
[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]
[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]
[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]
[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]
[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]
[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]
[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]
[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]
[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]
[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]
[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]
[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]
[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]
[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]
[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]
[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]
[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]
[3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]
[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]
[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]
[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]
[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]
[4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]
[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]
[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]
[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]
[4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]
[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]
[2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]
[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]
[3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]
[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]
[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]
[5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]
[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]
[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]
[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]
[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]
[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]
[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]
[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]
[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]
[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]
[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]
[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]
[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]
[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]
[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]
[8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]
[8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]
[3,7,5,2,4,1,8,6]=>[6,8,1,4,2,5,7,3]
[8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]
[8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]
[2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]
[8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]
[8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]
[8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]
[8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]
[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]
[5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]
[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]
[4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]
[4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]
[1,4,6,7,3,2,8,5]=>[5,8,2,3,7,6,4,1]
[5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]
[1,7,4,5,3,2,8,6]=>[6,8,2,3,5,4,7,1]
[3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]
[5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]
[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]
[8,3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3,8]
[8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8]
[4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]
[1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]
[8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]
[3,6,5,8,7,4,1,2]=>[2,1,4,7,8,5,6,3]
[3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]
[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]
[3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]
[8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]
[2,7,6,8,1,4,3,5]=>[5,3,4,1,8,6,7,2]
[3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]
[1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]
[1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]
[3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]
[3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]
[2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]
[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]
[4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]
[4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]
[3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]
[3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]
[3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]
[5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]
[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]
[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]
[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]
[8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]
[3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]
[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]
[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]
[4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]
[8,4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4,8]
[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]
[8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]
[8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]
[8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]
[4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]
[8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]
[8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]
[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]
[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]
[2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]
[1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]
[1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]
[3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]
[2,7,8,6,1,3,5,4]=>[4,5,3,1,6,8,7,2]
[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]
[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]
[8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]
[8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]
[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]
[4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]
[8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]
[6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]
[8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]
[3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]
[2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]
[6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]
[5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]
[5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]
[6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]
[3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]
[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]
[5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]
[2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]
[8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]
[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]
[2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]
[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]
[3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]
[8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]
[5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]
[2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]
[2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]
[4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]
[3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]
[8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]
[7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]
[6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]
[2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]
[2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]
[6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]
[7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]
[8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]
[3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]
[2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]
[4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]
[4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]
[3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]
[2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]
[7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]
[6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]
[2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]
[2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]
[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]
[7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]
[2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]
[8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]
[3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]
[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]
[5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]
[4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]
[8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]
[7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]
[2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]
[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]
[7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]
[8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]
[5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]
[4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]
[3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]
[5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]
[8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]
[2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]
[7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]
[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]
[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]
[2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]
[6,8,3,5,2,1,7,4]=>[4,7,1,2,5,3,8,6]
[7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]
[8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]
[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]
[4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]
[3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]
[3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]
[2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]
[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]
[8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]
[7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]
[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]
[2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]
[6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]
[7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]
[8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]
[4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]
[3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]
[6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]
[6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]
[6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]
[5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]
[2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]
[5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]
[3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]
[5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]
[5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]
[4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]
[4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]
[3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]
[3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]
[3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]
[3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]
[3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]
[4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]
[4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]
[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]
[6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]
[4,6,1,5,3,8,2,7]=>[7,2,8,3,5,1,6,4]
[5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]
[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]
[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]
[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]
[4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]
[6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]
[7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]
[1,4,7,5,8,3,2,6]=>[6,2,3,8,5,7,4,1]
[7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]
[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]
[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]
[3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]
[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]
[1,5,4,8,7,3,6,2]=>[2,6,3,7,8,4,5,1]
[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]
[4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]
[4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]
[5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]
[1,8,6,5,3,7,4,2]=>[2,4,7,3,5,6,8,1]
[1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]
[4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]
[6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]
[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]
[7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]
[7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]
[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]
[5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]
[6,1,7,5,3,2,8,4]=>[4,8,2,3,5,7,1,6]
[7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]
[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]
[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]
[5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]
[6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]
[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]
[4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]
[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]
[3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]
[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]
[3,6,7,2,1,4,8,5]=>[5,8,4,1,2,7,6,3]
[4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]
[8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]
[3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]
[8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]
[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]
[8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]
[4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]
[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]
[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]
[4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]
[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]
[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]
[3,6,8,1,7,5,2,4]=>[4,2,5,7,1,8,6,3]
[5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]
[5,2,7,1,8,6,4,3]=>[3,4,6,8,1,7,2,5]
[5,8,2,7,6,4,3,1]=>[1,3,4,6,7,2,8,5]
[6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]
[7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]
[6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]
[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]
[4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]
[7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]
[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]
[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]
[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]
[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]
[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]
[6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]
[7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]
[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]
[3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]
[4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]
[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]
[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]
[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]
[6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]
[5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]
[4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]
[3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]
[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]
[7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]
[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]
[1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]
[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]
[7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]
[3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]
[3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]
[5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]
[1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]
[6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]
[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]
[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]
[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]
[3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]
[4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]
[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]
[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]
[7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]
[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]
[1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]
[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]
[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]
[6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]
[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]
[3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]
[3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]
[4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]
[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]
[8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]
[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]
[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]
[7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]
[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]
[4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]
[3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]
[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]
[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]
[6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]
[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]
[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]
[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]
[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]
[8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]
[6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]
[6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]
[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]
[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]
[6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]
[5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]
[3,1,4,6,5,2,8,7]=>[7,8,2,5,6,4,1,3]
[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]
[8,1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1,8]
[3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]
[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]
[8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]
[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]
[3,4,8,6,5,7,1,2]=>[2,1,7,5,6,8,4,3]
[7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]
[5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]
[2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]
[2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]
[4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]
[3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]
[7,4,1,3,5,8,6,2]=>[2,6,8,5,3,1,4,7]
[6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]
[8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]
[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]
[7,4,3,8,2,1,6,5]=>[5,6,1,2,8,3,4,7]
[6,3,7,4,1,8,2,5]=>[5,2,8,1,4,7,3,6]
[8,3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3,8]
[3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]
[2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]
[4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]
[4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]
[3,8,2,1,7,5,6,4]=>[4,6,5,7,1,2,8,3]
[2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]
[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]
[8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]
[3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]
[5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]
[8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]
[7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]
[2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]
[4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]
[8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]
[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]
[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]
[2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]
[8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]
[5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]
[2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]
[2,1,7,5,3,6,8,4]=>[4,8,6,3,5,7,1,2]
[6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]
[7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]
[2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]
[4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]
[2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]
[4,1,2,5,8,6,7,3]=>[3,7,6,8,5,2,1,4]
[6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]
[8,5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5,8]
[7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]
[2,1,5,3,6,8,7,4]=>[4,7,8,6,3,5,1,2]
[7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]
[6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]
[4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]
[3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]
[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]
[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]
[6,5,2,7,4,8,3,1]=>[1,3,8,4,7,2,5,6]
[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]
[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]
[6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]
[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]
[5,6,3,2,4,1,8,7]=>[7,8,1,4,2,3,6,5]
[3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]
[2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]
[6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]
[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]
[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]
[2,5,7,3,8,6,4,1]=>[1,4,6,8,3,7,5,2]
[7,6,1,3,5,8,4,2]=>[2,4,8,5,3,1,6,7]
[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]
[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]
[2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]
[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]
[5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]
[3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]
[7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]
[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]
[2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]
[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]
[2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]
[4,8,1,2,7,6,3,5]=>[5,3,6,7,2,1,8,4]
[3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]
[6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]
[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]
[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]
[7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]
[3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]
[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]
[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]
[4,3,1,8,6,7,5,2]=>[2,5,7,6,8,1,3,4]
[3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]
[7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]
[3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]
[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]
[8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]
[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]
[7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]
[4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]
[2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]
[7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]
[5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]
[4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]
[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]
[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]
[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]
[7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]
[2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]
[5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]
[2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]
[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]
[6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]
[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]
[2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]
[4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]
[3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]
[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]
[3,1,8,2,4,7,6,5]=>[5,6,7,4,2,8,1,3]
[2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]
[4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]
[6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]
[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]
[2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]
[6,8,2,4,3,5,1,7]=>[7,1,5,3,4,2,8,6]
[4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]
[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]
[2,8,1,3,4,5,7,6]=>[6,7,5,4,3,1,8,2]
[2,8,4,1,6,5,3,7]=>[7,3,5,6,1,4,8,2]
[2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]
[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]
[2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]
[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]
[3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]
[3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]
[7,5,8,2,4,1,6,3]=>[3,6,1,4,2,8,5,7]
[2,8,5,3,4,7,6,1]=>[1,6,7,4,3,5,8,2]
[2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]
[2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]
[2,8,7,6,1,4,5,3]=>[3,5,4,1,6,7,8,2]
[2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]
[2,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,2]
[2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]
[2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]
[2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]
[3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]
[6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]
[6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]
[6,5,2,8,3,1,4,7]=>[7,4,1,3,8,2,5,6]
[7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]
[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]
[6,5,8,2,1,3,7,4]=>[4,7,3,1,2,8,5,6]
[3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]
[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]
[3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]
[3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]
[6,5,2,7,3,1,8,4]=>[4,8,1,3,7,2,5,6]
[4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]
[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]
[6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]
[5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]
[5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]
[5,1,2,8,6,4,7,3]=>[3,7,4,6,8,2,1,5]
[5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]
[6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]
[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]
[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]
[4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]
[4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]
[4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]
[7,1,6,8,4,3,5,2]=>[2,5,3,4,8,6,1,7]
[6,1,2,8,4,5,7,3]=>[3,7,5,4,8,2,1,6]
[5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]
[6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]
[6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]
[7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]
[6,5,2,8,3,7,1,4]=>[4,1,7,3,8,2,5,6]
[6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]
[5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]
[5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]
[7,1,6,8,4,3,2,5]=>[5,2,3,4,8,6,1,7]
[5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]
[4,1,8,3,6,5,7,2]=>[2,7,5,6,3,8,1,4]
[4,1,8,3,6,2,7,5]=>[5,7,2,6,3,8,1,4]
[3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]
[3,1,4,8,6,5,2,7]=>[7,2,5,6,8,4,1,3]
[7,1,6,5,8,3,2,4]=>[4,2,3,8,5,6,1,7]
[4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]
[4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]
[4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]
[4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]
[3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]
[3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]
[3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]
[3,6,5,2,8,1,7,4]=>[4,7,1,8,2,5,6,3]
[6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]
[7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]
[7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]
[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]
[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]
[4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]
[4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]
[4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]
[4,1,2,5,6,8,7,3]=>[3,7,8,6,5,2,1,4]
[4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]
[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]
[7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]
[7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]
[6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]
[2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]
[4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]
[6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]
[7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]
[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]
[7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]
[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]
[7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]
[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]
[7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]
[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]
[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]
[1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]
[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]
[5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]
[6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]
[6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]
[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]
[6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]
[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]
[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]
[1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]
[2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]
[3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]
[3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]
[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]
[2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]
[1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]
[2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]
[2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]
[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]
[5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]
[4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]
[4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]
[4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]
[1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]
[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]
[4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]
[4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]
[5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]
[5,7,1,4,2,3,8,6]=>[6,8,3,2,4,1,7,5]
[5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]
[6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]
[6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]
[6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]
[6,1,3,4,5,8,7,2]=>[2,7,8,5,4,3,1,6]
[5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]
[1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]
[5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]
[6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]
[6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]
[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]
[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]
[4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]
[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]
[4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]
[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]
[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]
[3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]
[4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]
[4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]
[4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]
[3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]
[3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]
[5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]
[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]
[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]
[3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]
[3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]
[3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]
[3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]
[4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]
[4,7,8,6,3,5,1,2]=>[2,1,5,3,6,8,7,4]
[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]
[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]
[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]
[2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]
[2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]
[2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]
[6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]
[6,4,2,7,1,3,8,5]=>[5,8,3,1,7,2,4,6]
[7,4,2,5,1,3,8,6]=>[6,8,3,1,5,2,4,7]
[7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]
[8,5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5,8]
[8,3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3,8]
[7,3,6,2,4,8,1,5]=>[5,1,8,4,2,6,3,7]
[4,3,7,1,2,5,8,6]=>[6,8,5,2,1,7,3,4]
[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]
[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]
[6,3,7,4,1,2,8,5]=>[5,8,2,1,4,7,3,6]
[4,7,1,5,2,3,8,6]=>[6,8,3,2,5,1,7,4]
[3,7,5,1,2,4,8,6]=>[6,8,4,2,1,5,7,3]
[7,6,4,2,3,8,1,5]=>[5,1,8,3,2,4,6,7]
[8,6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6,8]
[4,7,6,3,8,1,2,5]=>[5,2,1,8,3,6,7,4]
[5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]
[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]
[5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]
[6,4,7,5,2,8,1,3]=>[3,1,8,2,5,7,4,6]
[7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]
[3,8,6,1,2,7,4,5]=>[5,4,7,2,1,6,8,3]
[3,8,6,2,4,7,1,5]=>[5,1,7,4,2,6,8,3]
[6,8,4,3,7,1,2,5]=>[5,2,1,7,3,4,8,6]
[6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]
[3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]
[2,8,5,7,1,3,4,6]=>[6,4,3,1,7,5,8,2]
[4,8,6,2,7,1,3,5]=>[5,3,1,7,2,6,8,4]
[7,3,8,5,6,1,2,4]=>[4,2,1,6,5,8,3,7]
[6,3,7,5,8,1,2,4]=>[4,2,1,8,5,7,3,6]
[2,7,6,4,8,1,3,5]=>[5,3,1,8,4,6,7,2]
[2,6,5,8,1,3,4,7]=>[7,4,3,1,8,5,6,2]
[3,6,5,8,1,2,4,7]=>[7,4,2,1,8,5,6,3]
[2,5,7,4,8,1,3,6]=>[6,3,1,8,4,7,5,2]
[5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]
[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]
[3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]
[5,3,7,2,4,8,1,6]=>[6,1,8,4,2,7,3,5]
[5,4,7,3,8,1,2,6]=>[6,2,1,8,3,7,4,5]
[7,4,6,3,8,1,2,5]=>[5,2,1,8,3,6,4,7]
[8,4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4,8]
[8,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,8]
[7,4,1,6,8,2,3,5]=>[5,3,2,8,6,1,4,7]
[5,4,1,7,8,2,3,6]=>[6,3,2,8,7,1,4,5]
[6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]
[6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]
[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]
[6,3,7,4,8,5,1,2]=>[2,1,5,8,4,7,3,6]
[4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]
[7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]
[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]
[7,4,1,8,6,2,3,5]=>[5,3,2,6,8,1,4,7]
[7,6,1,8,5,2,3,4]=>[4,3,2,5,8,1,6,7]
[8,6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6,8]
[5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]
[6,4,7,8,2,5,1,3]=>[3,1,5,2,8,7,4,6]
[6,3,7,8,5,1,2,4]=>[4,2,1,5,8,7,3,6]
[3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]
[2,4,8,7,1,3,5,6]=>[6,5,3,1,7,8,4,2]
[4,3,8,7,1,2,5,6]=>[6,5,2,1,7,8,3,4]
[5,3,8,7,1,2,4,6]=>[6,4,2,1,7,8,3,5]
[8,3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3,8]
[8,4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4,8]
[5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]
[3,5,8,7,1,2,4,6]=>[6,4,2,1,7,8,5,3]
[2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]
[4,6,8,2,7,1,3,5]=>[5,3,1,7,2,8,6,4]
[4,7,1,8,6,2,3,5]=>[5,3,2,6,8,1,7,4]
[7,5,8,6,4,1,2,3]=>[3,2,1,4,6,8,5,7]
[6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]
[5,8,7,1,6,2,3,4]=>[4,3,2,6,1,7,8,5]
[2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]
[3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]
[4,8,7,6,1,2,3,5]=>[5,3,2,1,6,7,8,4]
[5,6,3,1,4,2,8,7]=>[7,8,2,4,1,3,6,5]
[7,5,3,8,2,1,6,4]=>[4,6,1,2,8,3,5,7]
[3,8,7,4,5,1,6,2]=>[2,6,1,5,4,7,8,3]
[6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]
[2,1,7,8,5,3,6,4]=>[4,6,3,5,8,7,1,2]
[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]
[8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]
[2,7,8,4,1,6,5,3]=>[3,5,6,1,4,8,7,2]
[7,1,8,4,2,6,5,3]=>[3,5,6,2,4,8,1,7]
[7,5,1,4,8,6,3,2]=>[2,3,6,8,4,1,5,7]
[6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]
[6,4,3,8,1,5,7,2]=>[2,7,5,1,8,3,4,6]
[8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]
[8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]
[7,3,8,4,1,6,5,2]=>[2,5,6,1,4,8,3,7]
[3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]
[5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]
[7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]
[6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]
[8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]
[8,2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2,8]
[7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]
[6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]
[3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]
[4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]
[5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]
[6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]
[3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]
[2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]
[6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]
[8,6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6,8]
[8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]
[7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]
[1,6,3,2,8,4,5,7]=>[7,5,4,8,2,3,6,1]
[5,7,3,1,2,8,4,6]=>[6,4,8,2,1,3,7,5]
[5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]
[4,2,6,5,1,8,3,7]=>[7,3,8,1,5,6,2,4]
[5,4,8,6,2,7,1,3]=>[3,1,7,2,6,8,4,5]
[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]
[7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]
[6,8,2,1,7,3,4,5]=>[5,4,3,7,1,2,8,6]
[1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]
[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]
[2,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,2]
[3,8,6,1,7,2,4,5]=>[5,4,2,7,1,6,8,3]
[4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]
[4,2,8,3,7,1,5,6]=>[6,5,1,7,3,8,2,4]
[4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]
[1,7,3,8,2,4,5,6]=>[6,5,4,2,8,3,7,1]
[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]
[4,2,5,7,1,8,3,6]=>[6,3,8,1,7,5,2,4]
[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]
[6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]
[7,2,6,1,8,3,4,5]=>[5,4,3,8,1,6,2,7]
[8,2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2,8]
[7,3,1,5,8,2,4,6]=>[6,4,2,8,5,1,3,7]
[3,2,1,5,8,4,6,7]=>[7,6,4,8,5,1,2,3]
[5,4,1,3,6,8,2,7]=>[7,2,8,6,3,1,4,5]
[1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]
[4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]
[5,4,6,3,8,7,1,2]=>[2,1,7,8,3,6,4,5]
[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]
[6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]
[5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]
[5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]
[8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]
[6,1,8,3,7,2,4,5]=>[5,4,2,7,3,8,1,6]
[6,3,8,1,7,2,4,5]=>[5,4,2,7,1,8,3,6]
[7,6,8,2,3,5,1,4]=>[4,1,5,3,2,8,6,7]
[3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]
[6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]
[5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]
[4,2,5,8,7,1,3,6]=>[6,3,1,7,8,5,2,4]
[3,6,2,8,7,1,4,5]=>[5,4,1,7,8,2,6,3]
[3,7,8,1,6,2,4,5]=>[5,4,2,6,1,8,7,3]
[2,3,8,7,1,4,5,6]=>[6,5,4,1,7,8,3,2]
[7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]
[2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]
[8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]
[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]
[1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]
[1,7,8,3,6,2,4,5]=>[5,4,2,6,3,8,7,1]
[4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]
[5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]
[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]
[7,8,6,2,5,1,3,4]=>[4,3,1,5,2,6,8,7]
[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]
[8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]
[8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]
[8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]
[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]
[7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]
[7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]
[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]
[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]
[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]
[8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]
[8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]
[8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]
[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]
[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]
[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]
[7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]
[6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]
[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]
[7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]
[7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]
[7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]
[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]
[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]
[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]
[7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]
[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]
[6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]
[5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]
[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]
[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]
[6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]
[6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]
[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]
[6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]
[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]
[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]
[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]
[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]
[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]
[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]
[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]
[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]
[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]
[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]
[6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]
[7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]
[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]
[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]
[7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]
[7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]
[6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]
[6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]
[6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]
[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]
[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]
[7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]
[7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]
[6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]
[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]
[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]
[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]
[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]
[6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]
[6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]
[6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]
[5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]
[5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]
[5,6,2,1,3,4,8,7]=>[7,8,4,3,1,2,6,5]
[5,8,2,7,4,1,3,6]=>[6,3,1,4,7,2,8,5]
[5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]
[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]
[2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]
[8,3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3,8]
[7,8,1,2,5,4,6,3]=>[3,6,4,5,2,1,8,7]
[2,6,8,3,1,4,7,5]=>[5,7,4,1,3,8,6,2]
[6,1,8,3,2,4,5,7]=>[7,5,4,2,3,8,1,6]
[8,4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4,8]
[5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]
[7,5,1,6,8,3,4,2]=>[2,4,3,8,6,1,5,7]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]
[4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]
[7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]
[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]
[1,8,2,4,3,5,6,7]=>[7,6,5,3,4,2,8,1]
[1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]
[1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]
[1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]
[1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]
[1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]
[1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]
[1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]
[1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]
[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]
[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]
[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]
[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]
[1,4,2,8,3,6,5,7]=>[7,5,6,3,8,2,4,1]
[1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]
[1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]
[1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]
[1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]
[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]
[1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]
[1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]
[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]
[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]
[1,8,2,5,3,6,4,7]=>[7,4,6,3,5,2,8,1]
[1,7,2,5,3,6,4,8]=>[8,4,6,3,5,2,7,1]
[1,6,2,5,3,7,4,8]=>[8,4,7,3,5,2,6,1]
[1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]
[1,6,2,4,3,7,5,8]=>[8,5,7,3,4,2,6,1]
[1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]
[1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]
[1,8,2,3,4,6,5,7]=>[7,5,6,4,3,2,8,1]
[1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]
[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]
[1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]
[1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]
[1,6,2,4,3,8,5,7]=>[7,5,8,3,4,2,6,1]
[1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1]
[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]
[1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]
[1,8,2,5,3,7,4,6]=>[6,4,7,3,5,2,8,1]
[1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]
[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]
[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]
[1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]
[1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]
[1,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,1]
[1,6,2,8,3,7,4,5]=>[5,4,7,3,8,2,6,1]
[1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]
[4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]
[4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]
[4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]
[4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]
[5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]
[5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]
[4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]
[5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]
[5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]
[5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]
[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]
[5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]
[5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]
[5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]
[5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]
[4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]
[3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]
[3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]
[4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]
[5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]
[5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]
[5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]
[5,7,8,4,1,2,6,3]=>[3,6,2,1,4,8,7,5]
[5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]
[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]
[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]
[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]
[6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]
[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]
[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]
[3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]
[3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]
[4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]
[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]
[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]
[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]
[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]
[6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]
[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]
[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]
[6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]
[6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]
[5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]
[4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]
[3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]
[3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]
[4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]
[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]
[5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]
[5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]
[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]
[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]
[4,7,3,8,1,6,5,2]=>[2,5,6,1,8,3,7,4]
[4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]
[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]
[4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]
[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]
[4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]
[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]
[4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]
[4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]
[4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]
[5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]
[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]
[5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]
[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]
[3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]
[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]
[6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]
[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]
[6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]
[6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]
[6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]
[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]
[6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]
[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]
[5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]
[3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]
[6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]
[6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]
[6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]
[7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]
[1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]
[1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]
[7,2,8,5,4,1,6,3]=>[3,6,1,4,5,8,2,7]
[2,8,5,4,3,1,7,6]=>[6,7,1,3,4,5,8,2]
[2,8,4,5,6,1,7,3]=>[3,7,1,6,5,4,8,2]
[2,8,6,5,7,3,1,4]=>[4,1,3,7,5,6,8,2]
[2,8,4,5,3,7,1,6]=>[6,1,7,3,5,4,8,2]
[2,8,4,3,5,6,1,7]=>[7,1,6,5,3,4,8,2]
[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]
[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]
[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]
[6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]
[7,4,8,2,5,6,3,1]=>[1,3,6,5,2,8,4,7]
[7,4,8,5,2,1,3,6]=>[6,3,1,2,5,8,4,7]
[6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]
[6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]
[4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]
[4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]
[3,6,1,7,5,2,8,4]=>[4,8,2,5,7,1,6,3]
[3,4,1,2,7,6,8,5]=>[5,8,6,7,2,1,4,3]
[3,4,2,1,7,5,8,6]=>[6,8,5,7,1,2,4,3]
[3,6,5,7,1,4,8,2]=>[2,8,4,1,7,5,6,3]
[6,5,2,7,4,1,8,3]=>[3,8,1,4,7,2,5,6]
[3,5,2,6,4,8,7,1]=>[1,7,8,4,6,2,5,3]
[5,3,1,8,6,4,7,2]=>[2,7,4,6,8,1,3,5]
[5,6,1,8,7,2,4,3]=>[3,4,2,7,8,1,6,5]
[6,3,5,8,2,7,4,1]=>[1,4,7,2,8,5,3,6]
[6,5,8,4,2,3,7,1]=>[1,7,3,2,4,8,5,6]
[6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]
[1,6,5,7,3,4,2,8]=>[8,2,4,3,7,5,6,1]
[1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]
[5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]
[7,1,3,8,4,6,2,5]=>[5,2,6,4,8,3,1,7]
[2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]
[2,3,4,8,6,5,1,7]=>[7,1,5,6,8,4,3,2]
[2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]
[3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]
[1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]
[5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]
[5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]
[5,3,6,1,4,8,2,7]=>[7,2,8,4,1,6,3,5]
[7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]
[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]
[2,6,1,5,8,4,7,3]=>[3,7,4,8,5,1,6,2]
[2,7,6,5,8,3,4,1]=>[1,4,3,8,5,6,7,2]
[5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]
[3,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,3]
[3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]
[5,1,4,7,2,8,6,3]=>[3,6,8,2,7,4,1,5]
[3,6,4,7,8,2,5,1]=>[1,5,2,8,7,4,6,3]
[3,1,4,6,8,5,7,2]=>[2,7,5,8,6,4,1,3]
[6,3,4,5,7,1,8,2]=>[2,8,1,7,5,4,3,6]
[2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]
[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]
[7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]
[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]
[7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]
[6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]
[1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]
[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]
[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]
[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]
[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]
[7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]
[7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]
[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]
[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]
[6,5,7,4,3,1,8,2]=>[2,8,1,3,4,7,5,6]
[6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]
[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]
[6,2,1,7,5,4,8,3]=>[3,8,4,5,7,1,2,6]
[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]
[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]
[2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]
[2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]
[2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]
[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]
[1,8,7,4,3,6,5,2]=>[2,5,6,3,4,7,8,1]
[1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]
[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]
[2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]
[2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]
[2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]
[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]
[5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]
[5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]
[5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]
[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]
[4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]
[1,8,6,5,7,3,2,4]=>[4,2,3,7,5,6,8,1]
[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]
[4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]
[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]
[5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]
[5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]
[6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]
[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]
[6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]
[6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]
[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]
[1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]
[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]
[5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]
[5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]
[6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]
[6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]
[6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]
[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]
[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]
[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]
[4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]
[1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]
[1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]
[3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]
[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]
[3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]
[3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]
[4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]
[4,2,1,5,8,3,7,6]=>[6,7,3,8,5,1,2,4]
[4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]
[4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]
[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]
[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]
[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]
[3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]
[1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]
[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]
[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]
[3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]
[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]
[4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]
[2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]
[2,4,8,7,1,6,5,3]=>[3,5,6,1,7,8,4,2]
[2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]
[2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]
[8,3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3,8]
[8,3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3,8]
[4,8,3,1,7,5,6,2]=>[2,6,5,7,1,3,8,4]
[4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]
[1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]
[1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]
[7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]
[6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]
[3,6,8,4,1,7,5,2]=>[2,5,7,1,4,8,6,3]
[3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]
[3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]
[4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]
[6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]
[6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]
[6,7,5,3,1,8,4,2]=>[2,4,8,1,3,5,7,6]
[8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]
[1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]
[1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]
[5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]
[2,5,3,1,7,6,8,4]=>[4,8,6,7,1,3,5,2]
[2,8,4,1,6,7,5,3]=>[3,5,7,6,1,4,8,2]
[2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]
[2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]
[4,7,1,6,5,8,2,3]=>[3,2,8,5,6,1,7,4]
[4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]
[4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]
[7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]
[8,4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4,8]
[5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]
[1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]
[4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]
[3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]
[6,7,1,5,8,2,3,4]=>[4,3,2,8,5,1,7,6]
[2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]
[2,3,5,1,7,6,8,4]=>[4,8,6,7,1,5,3,2]
[7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]
[3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]
[7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]
[7,5,1,6,8,4,2,3]=>[3,2,4,8,6,1,5,7]
[8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]
[5,2,3,1,7,6,8,4]=>[4,8,6,7,1,3,2,5]
[3,5,2,1,7,6,8,4]=>[4,8,6,7,1,2,5,3]
[1,3,5,2,7,6,8,4]=>[4,8,6,7,2,5,3,1]
[1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]
[7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]
[8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]
[6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]
[6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]
[7,1,6,4,8,2,5,3]=>[3,5,2,8,4,6,1,7]
[8,2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2,8]
[6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]
[7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]
[8,3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3,8]
[1,8,3,5,7,6,2,4]=>[4,2,6,7,5,3,8,1]
[1,5,2,3,7,6,8,4]=>[4,8,6,7,3,2,5,1]
[5,2,1,3,7,6,8,4]=>[4,8,6,7,3,1,2,5]
[7,5,2,6,8,4,1,3]=>[3,1,4,8,6,2,5,7]
[8,4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4,8]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]
[8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]
[3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]
[8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]
[5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]
[4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]
[4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]
[1,4,2,3,7,6,8,5]=>[5,8,6,7,3,2,4,1]
[2,4,1,3,7,6,8,5]=>[5,8,6,7,3,1,4,2]
[2,5,1,3,7,6,8,4]=>[4,8,6,7,3,1,5,2]
[2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]
[6,8,2,3,5,7,1,4]=>[4,1,7,5,3,2,8,6]
[6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]
[8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]
[5,1,2,3,7,6,8,4]=>[4,8,6,7,3,2,1,5]
[3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]
[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]
[8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]
[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]
[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]
[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]
[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]
[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]
[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]
[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]
[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]
[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]
[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]
[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]
[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]
[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]
[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]
[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]
[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]
[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]
[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]
[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]
[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]
[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]
[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]
[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]
[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]
[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]
[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]
[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]
[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]
[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]
[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]
[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]
[5,2,7,8,6,4,1,3]=>[3,1,4,6,8,7,2,5]
[5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]
[4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]
[4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]
[4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]
[6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]
[6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]
[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]
[7,8,1,3,6,5,2,4]=>[4,2,5,6,3,1,8,7]
[7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]
[4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]
[1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]
[4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]
[7,8,2,3,6,5,1,4]=>[4,1,5,6,3,2,8,7]
[8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]
[8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]
[6,8,2,7,1,3,5,4]=>[4,5,3,1,7,2,8,6]
[6,8,7,2,5,3,1,4]=>[4,1,3,5,2,7,8,6]
[6,2,4,8,7,1,5,3]=>[3,5,1,7,8,4,2,6]
[1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]
[1,6,8,3,4,7,5,2]=>[2,5,7,4,3,8,6,1]
[6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]
[6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]
[6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]
[8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]
[8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]
[8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]
[8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]
[5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]
[1,8,7,5,3,4,6,2]=>[2,6,4,3,5,7,8,1]
[1,8,7,3,5,4,6,2]=>[2,6,4,5,3,7,8,1]
[8,2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2,8]
[8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]
[8,7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7,8]
[8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]
[8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]
[8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]
[5,8,4,7,2,1,6,3]=>[3,6,1,2,7,4,8,5]
[1,8,7,5,4,3,6,2]=>[2,6,3,4,5,7,8,1]
[1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]
[6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]
[6,8,1,7,3,2,5,4]=>[4,5,2,3,7,1,8,6]
[8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]
[8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]
[8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]
[5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]
[5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]
[8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8]
[8,2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2,8]
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]
[4,8,5,7,1,2,6,3]=>[3,6,2,1,7,5,8,4]
[4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]
[8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]
[8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]
[6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]
[4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]
[1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]
[1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]
[4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]
[8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]
[8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]
[8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]
[8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]
[4,8,5,2,7,1,6,3]=>[3,6,1,7,2,5,8,4]
[1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]
[1,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,1]
[8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]
[8,5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5,8]
[6,3,1,5,4,2,8,7]=>[7,8,2,4,5,1,3,6]
[8,3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3,8]
[8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]
[8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]
[6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]
[6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]
[6,3,2,5,1,4,8,7]=>[7,8,4,1,5,2,3,6]
[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]
[6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]
[8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]
[8,7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7,8]
[8,7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7,8]
[8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]
[8,5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5,8]
[8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]
[8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]
[2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]
[8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]
[8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]
[8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]
[8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]
[8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]
[8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]
[8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]
[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]
[2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]
[8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]
[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]
[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]
[8,5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5,8]
[8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]
[8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]
[8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]
[8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]
[8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]
[8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]
[8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]
[8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]
[8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]
[8,3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3,8]
[8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]
[8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]
[8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]
[8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]
[2,1,8,5,4,7,3,6]=>[6,3,7,4,5,8,1,2]
[8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]
[8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]
[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]
[8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]
[8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]
[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]
[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]
[8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]
[8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]
[2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]
[8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]
[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]
[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]
[4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]
[7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]
[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]
[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]
[2,5,3,1,7,8,6,4]=>[4,6,8,7,1,3,5,2]
[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]
[2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]
[4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]
[6,5,1,2,8,4,3,7]=>[7,3,4,8,2,1,5,6]
[6,4,1,2,8,5,3,7]=>[7,3,5,8,2,1,4,6]
[5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]
[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]
[6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]
[7,1,3,4,8,2,5,6]=>[6,5,2,8,4,3,1,7]
[7,1,5,6,8,2,3,4]=>[4,3,2,8,6,5,1,7]
[2,6,1,5,7,8,3,4]=>[4,3,8,7,5,1,6,2]
[7,4,1,6,8,5,2,3]=>[3,2,5,8,6,1,4,7]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]
[3,5,2,1,6,8,7,4]=>[4,7,8,6,1,2,5,3]
[1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]
[6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]
[7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]
[7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]
[6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]
[1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]
[5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]
[7,4,1,3,8,5,2,6]=>[6,2,5,8,3,1,4,7]
[7,5,1,3,8,4,2,6]=>[6,2,4,8,3,1,5,7]
[3,6,7,1,4,8,2,5]=>[5,2,8,4,1,7,6,3]
[7,6,1,4,8,3,2,5]=>[5,2,3,8,4,1,6,7]
[4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]
[2,6,1,4,7,8,3,5]=>[5,3,8,7,4,1,6,2]
[7,1,4,6,8,2,3,5]=>[5,3,2,8,6,4,1,7]
[7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]
[6,1,2,4,8,3,5,7]=>[7,5,3,8,4,2,1,6]
[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]
[7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]
[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]
[7,3,5,2,4,1,8,6]=>[6,8,1,4,2,5,3,7]
[6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]
[5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]
[4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]
[6,3,4,1,5,2,8,7]=>[7,8,2,5,1,4,3,6]
[5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]
[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]
[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]
[6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]
[6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]
[7,3,4,1,5,2,8,6]=>[6,8,2,5,1,4,3,7]
[4,1,7,3,5,2,8,6]=>[6,8,2,5,3,7,1,4]
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]
[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]
[3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]
[4,1,8,6,7,3,5,2]=>[2,5,3,7,6,8,1,4]
[8,6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6,8]
[8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]
[8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]
[5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]
[4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]
[3,1,8,5,7,4,6,2]=>[2,6,4,7,5,8,1,3]
[2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]
[2,1,7,4,6,3,8,5]=>[5,8,3,6,4,7,1,2]
[3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]
[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]
[6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]
[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]
[7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]
[6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]
[5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]
[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]
[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]
[7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]
[6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]
[5,2,3,1,7,4,8,6]=>[6,8,4,7,1,3,2,5]
[4,2,3,1,7,5,8,6]=>[6,8,5,7,1,3,2,4]
[3,1,4,2,8,6,7,5]=>[5,7,6,8,2,4,1,3]
[6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]
[8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]
[7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]
[7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]
[8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]
[5,2,4,1,8,6,7,3]=>[3,7,6,8,1,4,2,5]
[4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]
[3,1,5,2,8,6,7,4]=>[4,7,6,8,2,5,1,3]
[2,1,6,3,8,5,7,4]=>[4,7,5,8,3,6,1,2]
[3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]
[4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]
[5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]
[8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]
[7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]
[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]
[8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]
[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]
[4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]
[3,1,8,5,6,2,7,4]=>[4,7,2,6,5,8,1,3]
[2,1,8,5,6,3,7,4]=>[4,7,3,6,5,8,1,2]
[2,1,7,4,8,5,6,3]=>[3,6,5,8,4,7,1,2]
[3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]
[4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]
[7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]
[8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]
[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]
[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]
[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]
[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]
[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]
[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]
[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]
[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]
[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]
[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]
[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]
[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]
[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]
[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]
[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]
[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]
[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]
[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]
[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]
[3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]
[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]
[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]
[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]
[4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]
[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]
[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]
[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]
[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]
[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]
[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]
[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]
[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]
[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]
[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]
[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]
[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]
[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]
[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]
[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]
[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]
[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]
[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]
[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]
[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]
[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]
[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]
[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]
[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]
[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]
[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]
[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]
[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]
[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]
[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]
[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]
[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]
[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]
[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]
[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]
[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]
[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]
[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]
[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]
[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]
[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]
[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]
[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]
[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]
[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]
[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]
[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]
[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]
[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]
[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]
[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]
[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]
[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]
[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]
[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]
[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]
[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]
[7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]
[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]
[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]
[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]
[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]
[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]
[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]
[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]
[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]
[2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]
[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]
[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]
[2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]
[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]
[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]
[2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]
[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]
[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]
[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]
[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]
[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]
[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]
[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]
[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]
[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]
[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]
[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]
[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]
[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]
[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]
[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]
[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]
[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]
[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]
[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]
[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]
[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]
[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]
[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]
[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]
[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]
[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]
[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]
[4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]
[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]
[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]
[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]
[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]
[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]
[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]
[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]
[4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]
[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]
[2,1,7,5,8,6,4,3]=>[3,4,6,8,5,7,1,2]
[1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]
[4,1,2,7,3,8,6,5]=>[5,6,8,3,7,2,1,4]
[6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]
[6,1,3,7,5,2,4,8]=>[8,4,2,5,7,3,1,6]
[3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]
[3,7,1,2,5,4,8,6]=>[6,8,4,5,2,1,7,3]
[1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]
[2,4,1,7,8,6,5,3]=>[3,5,6,8,7,1,4,2]
[3,4,7,5,1,8,6,2]=>[2,6,8,1,5,7,4,3]
[2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2]
[2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]
[5,2,8,1,3,7,4,6]=>[6,4,7,3,1,8,2,5]
[2,1,6,8,3,4,7,5]=>[5,7,4,3,8,6,1,2]
[2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]
[2,8,6,4,1,5,7,3]=>[3,7,5,1,4,6,8,2]
[3,6,4,8,5,1,7,2]=>[2,7,1,5,8,4,6,3]
[6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]
[2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]
[5,2,1,7,8,3,4,6]=>[6,4,3,8,7,1,2,5]
[4,7,2,3,6,8,1,5]=>[5,1,8,6,3,2,7,4]
[5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]
[5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]
[5,7,3,4,6,1,8,2]=>[2,8,1,6,4,3,7,5]
[5,3,8,4,6,1,7,2]=>[2,7,1,6,4,8,3,5]
[8,5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5,8]
[8,2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2,8]
[4,2,8,3,6,7,1,5]=>[5,1,7,6,3,8,2,4]
[2,4,8,1,7,3,5,6]=>[6,5,3,7,1,8,4,2]
[8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]
[4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]
[5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]
[5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]
[4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]
[6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]
[6,3,1,8,2,4,7,5]=>[5,7,4,2,8,1,3,6]
[5,3,8,1,2,6,4,7]=>[7,4,6,2,1,8,3,5]
[5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]
[8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]
[5,1,8,4,2,7,3,6]=>[6,3,7,2,4,8,1,5]
[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]
[6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]
[8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]
[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]
[1,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,1]
[6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]
[4,5,7,8,3,1,6,2]=>[2,6,1,3,8,7,5,4]
[4,7,2,5,8,1,6,3]=>[3,6,1,8,5,2,7,4]
[8,1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1,8]
[3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]
[3,5,6,8,2,7,1,4]=>[4,1,7,2,8,6,5,3]
[2,4,5,6,8,1,7,3]=>[3,7,1,8,6,5,4,2]
[4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]
[5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]
[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]
[6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]
[6,8,4,7,1,5,3,2]=>[2,3,5,1,7,4,8,6]
[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]
[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]
[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]
[5,3,8,7,6,1,2,4]=>[4,2,1,6,7,8,3,5]
[4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]
[4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]
[8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]
[3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]
[3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]
[3,5,8,7,6,1,2,4]=>[4,2,1,6,7,8,5,3]
[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]
[4,5,8,7,1,6,3,2]=>[2,3,6,1,7,8,5,4]
[4,5,8,7,2,6,3,1]=>[1,3,6,2,7,8,5,4]
[3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]
[3,5,8,1,7,6,4,2]=>[2,4,6,7,1,8,5,3]
[2,5,8,1,7,6,4,3]=>[3,4,6,7,1,8,5,2]
[2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]
[2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]
[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]
[8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]
[8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]
[1,8,4,7,2,5,3,6]=>[6,3,5,2,7,4,8,1]
[1,4,8,7,2,6,3,5]=>[5,3,6,2,7,8,4,1]
[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]
[1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]
[2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]
[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]
[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]
[1,8,3,2,7,5,4,6]=>[6,4,5,7,2,3,8,1]
[8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]
[8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]
[2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]
[2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]
[3,4,1,8,7,6,5,2]=>[2,5,6,7,8,1,4,3]
[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]
[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]
[3,8,2,1,7,5,4,6]=>[6,4,5,7,1,2,8,3]
[8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]
[8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]
[4,2,8,7,1,6,3,5]=>[5,3,6,1,7,8,2,4]
[5,2,8,7,1,6,3,4]=>[4,3,6,1,7,8,2,5]
[5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]
[5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]
[5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]
[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]
[6,8,3,1,7,5,4,2]=>[2,4,5,7,1,3,8,6]
[6,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,6]
[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]
[6,8,7,2,1,4,3,5]=>[5,3,4,1,2,7,8,6]
[8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]
[5,8,7,1,2,4,3,6]=>[6,3,4,2,1,7,8,5]
[6,8,1,2,7,5,4,3]=>[3,4,5,7,2,1,8,6]
[6,8,2,3,7,5,4,1]=>[1,4,5,7,3,2,8,6]
[5,2,8,3,7,6,4,1]=>[1,4,6,7,3,8,2,5]
[5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]
[5,1,8,7,2,6,3,4]=>[4,3,6,2,7,8,1,5]
[4,1,8,7,2,6,3,5]=>[5,3,6,2,7,8,1,4]
[4,8,1,7,2,5,3,6]=>[6,3,5,2,7,1,8,4]
[8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]
[8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]
[3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]
[3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]
[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]
[4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]
[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]
[2,1,8,3,7,6,4,5]=>[5,4,6,7,3,8,1,2]
[2,8,1,3,7,5,4,6]=>[6,4,5,7,3,1,8,2]
[8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]
[8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]
[1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]
[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]
[1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]
[3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]
[3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]
[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]
[1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]
[1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]
[3,1,6,5,8,2,4,7]=>[7,4,2,8,5,6,1,3]
[1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]
[1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]
[1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]
[1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]
[4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]
[7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]
[1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]
[7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]
[7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]
[1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]
[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]
[1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]
[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]
[1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]
[1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]
[1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]
[6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]
[7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]
[7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]
[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]
[1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]
[1,6,2,7,5,3,8,4]=>[4,8,3,5,7,2,6,1]
[1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]
[1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]
[1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]
[1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]
[1,6,5,2,7,3,8,4]=>[4,8,3,7,2,5,6,1]
[1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]
[4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]
[3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]
[4,3,7,1,8,2,5,6]=>[6,5,2,8,1,7,3,4]
[8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]
[7,1,8,3,2,4,6,5]=>[5,6,4,2,3,8,1,7]
[1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]
[1,4,2,8,7,3,6,5]=>[5,6,3,7,8,2,4,1]
[1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]
[8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]
[1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]
[8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]
[8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]
[1,8,6,4,2,7,3,5]=>[5,3,7,2,4,6,8,1]
[1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]
[1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]
[1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]
[1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]
[1,2,7,6,3,8,5,4]=>[4,5,8,3,6,7,2,1]
[1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]
[1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]
[1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]
[7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]
[7,2,1,8,6,3,4,5]=>[5,4,3,6,8,1,2,7]
[1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]
[1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]
[1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]
[1,2,8,6,3,7,5,4]=>[4,5,7,3,6,8,2,1]
[1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]
[4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]
[5,1,8,7,6,2,4,3]=>[3,4,2,6,7,8,1,5]
[8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]
[5,7,8,6,2,4,1,3]=>[3,1,4,2,6,8,7,5]
[5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]
[6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]
[8,1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1,8]
[6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]
[6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]
[5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]
[6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]
[7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]
[7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]
[7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]
[8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]
[7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]
[6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]
[6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]
[6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]
[8,4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4,8]
[6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]
[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]
[5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]
[5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]
[5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]
[8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]
[6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]
[2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]
[8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]
[2,3,8,5,1,4,7,6]=>[6,7,4,1,5,8,3,2]
[2,3,8,6,1,5,7,4]=>[4,7,5,1,6,8,3,2]
[2,8,6,7,1,3,5,4]=>[4,5,3,1,7,6,8,2]
[8,3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3,8]
[2,3,8,5,6,1,7,4]=>[4,7,1,6,5,8,3,2]
[7,4,5,6,3,1,8,2]=>[2,8,1,3,6,5,4,7]
[8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]
[7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]
[7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]
[7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]
[2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]
[2,7,6,8,1,3,5,4]=>[4,5,3,1,8,6,7,2]
[2,7,6,5,8,3,1,4]=>[4,1,3,8,5,6,7,2]
[8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]
[2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]
[2,6,1,3,8,5,7,4]=>[4,7,5,8,3,1,6,2]
[2,7,1,3,6,5,8,4]=>[4,8,5,6,3,1,7,2]
[2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]
[2,7,6,1,8,3,4,5]=>[5,4,3,8,1,6,7,2]
[2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]
[7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]
[8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]
[7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]
[6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]
[2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]
[2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]
[8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]
[2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]
[2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]
[2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]
[2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]
[2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]
[8,4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4,8]
[8,5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5,8]
[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]
[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]
[1,8,6,5,2,7,3,4]=>[4,3,7,2,5,6,8,1]
[8,7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7,8]
[7,8,5,4,1,3,6,2]=>[2,6,3,1,4,5,8,7]
[6,8,5,4,2,1,7,3]=>[3,7,1,2,4,5,8,6]
[5,8,6,2,4,1,7,3]=>[3,7,1,4,2,6,8,5]
[4,8,2,6,5,1,7,3]=>[3,7,1,5,6,2,8,4]
[3,2,8,6,5,1,7,4]=>[4,7,1,5,6,8,2,3]
[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]
[4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]
[5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]
[6,1,7,5,3,2,4,8]=>[8,4,2,3,5,7,1,6]
[7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]
[8,1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1,8]
[1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]
[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]
[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]
[7,1,8,2,6,4,3,5]=>[5,3,4,6,2,8,1,7]
[6,1,8,2,4,7,3,5]=>[5,3,7,4,2,8,1,6]
[5,1,8,3,2,7,4,6]=>[6,4,7,2,3,8,1,5]
[4,1,3,8,2,7,5,6]=>[6,5,7,2,8,3,1,4]
[3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]
[3,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,3]
[4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]
[5,8,7,2,1,6,4,3]=>[3,4,6,1,2,7,8,5]
[6,8,7,1,3,5,4,2]=>[2,4,5,3,1,7,8,6]
[7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]
[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]
[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]
[8,6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6,8]
[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]
[6,5,8,3,2,1,7,4]=>[4,7,1,2,3,8,5,6]
[7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]
[8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]
[1,6,8,4,2,7,3,5]=>[5,3,7,2,4,8,6,1]
[1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]
[8,4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4,8]
[7,4,3,8,1,5,6,2]=>[2,6,5,1,8,3,4,7]
[6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]
[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]
[8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]
[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]
[8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]
[7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]
[6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]
[5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]
[4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]
[3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]
[3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]
[4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]
[5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]
[6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]
[7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]
[8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]
[1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]
[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]
[7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]
[6,8,1,2,4,3,7,5]=>[5,7,3,4,2,1,8,6]
[5,8,1,3,2,4,7,6]=>[6,7,4,2,3,1,8,5]
[4,8,2,1,3,5,7,6]=>[6,7,5,3,1,2,8,4]
[3,2,8,1,4,5,7,6]=>[6,7,5,4,1,8,2,3]
[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]
[5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]
[6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]
[7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]
[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]
[6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]
[5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]
[5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]
[3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]
[3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3]
[4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]
[3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]
[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]
[2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]
[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]
[8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]
[1,4,8,6,2,3,7,5]=>[5,7,3,2,6,8,4,1]
[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]
[1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]
[2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]
[1,4,2,6,8,5,7,3]=>[3,7,5,8,6,2,4,1]
[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]
[8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]
[2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]
[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]
[3,4,1,6,7,8,5,2]=>[2,5,8,7,6,1,4,3]
[4,3,1,7,6,8,5,2]=>[2,5,8,6,7,1,3,4]
[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]
[5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]
[6,7,3,1,5,8,4,2]=>[2,4,8,5,1,3,7,6]
[6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]
[6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]
[6,7,8,2,1,4,3,5]=>[5,3,4,1,2,8,7,6]
[6,7,1,2,8,4,5,3]=>[3,5,4,8,2,1,7,6]
[6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]
[5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]
[5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]
[5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]
[4,1,8,7,2,3,6,5]=>[5,6,3,2,7,8,1,4]
[3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]
[4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]
[3,1,4,5,7,8,6,2]=>[2,6,8,7,5,4,1,3]
[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]
[8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]
[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]
[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]
[4,2,1,6,5,8,7,3]=>[3,7,8,5,6,1,2,4]
[5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]
[5,2,7,4,8,1,6,3]=>[3,6,1,8,4,7,2,5]
[5,2,7,4,8,6,1,3]=>[3,1,6,8,4,7,2,5]
[5,7,2,3,8,6,1,4]=>[4,1,6,8,3,2,7,5]
[5,7,2,3,8,1,6,4]=>[4,6,1,8,3,2,7,5]
[5,6,2,3,1,8,7,4]=>[4,7,8,1,3,2,6,5]
[5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]
[5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]
[5,6,1,3,2,8,7,4]=>[4,7,8,2,3,1,6,5]
[5,6,3,1,2,8,7,4]=>[4,7,8,2,1,3,6,5]
[5,6,3,2,1,8,7,4]=>[4,7,8,1,2,3,6,5]
[5,7,3,2,8,1,6,4]=>[4,6,1,8,2,3,7,5]
[5,7,3,2,8,6,1,4]=>[4,1,6,8,2,3,7,5]
[6,7,3,8,2,1,5,4]=>[4,5,1,2,8,3,7,6]
[6,7,3,8,1,2,5,4]=>[4,5,2,1,8,3,7,6]
[5,7,3,1,8,2,6,4]=>[4,6,2,8,1,3,7,5]
[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]
[5,1,7,4,8,2,6,3]=>[3,6,2,8,4,7,1,5]
[1,5,7,4,8,3,6,2]=>[2,6,3,8,4,7,5,1]
[1,5,7,4,8,6,3,2]=>[2,3,6,8,4,7,5,1]
[5,1,7,4,8,6,2,3]=>[3,2,6,8,4,7,1,5]
[5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]
[6,7,3,8,1,5,2,4]=>[4,2,5,1,8,3,7,6]
[6,7,3,8,5,2,1,4]=>[4,1,2,5,8,3,7,6]
[6,7,8,3,1,4,2,5]=>[5,2,4,1,3,8,7,6]
[6,7,1,8,3,5,2,4]=>[4,2,5,3,8,1,7,6]
[6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]
[1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]
[1,6,7,8,4,3,5,2]=>[2,5,3,4,8,7,6,1]
[6,1,7,8,4,2,5,3]=>[3,5,2,4,8,7,1,6]
[6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]
[5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]
[6,7,2,8,1,3,5,4]=>[4,5,3,1,8,2,7,6]
[6,7,2,8,3,1,5,4]=>[4,5,1,3,8,2,7,6]
[6,7,2,8,3,5,1,4]=>[4,1,5,3,8,2,7,6]
[6,2,7,8,4,5,1,3]=>[3,1,5,4,8,7,2,6]
[6,2,7,8,4,1,5,3]=>[3,5,1,4,8,7,2,6]
[6,2,7,8,1,4,5,3]=>[3,5,4,1,8,7,2,6]
[5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]
[4,2,1,7,8,5,6,3]=>[3,6,5,8,7,1,2,4]
[4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]
[6,2,7,8,1,5,4,3]=>[3,4,5,1,8,7,2,6]
[6,2,7,8,5,1,4,3]=>[3,4,1,5,8,7,2,6]
[6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]
[6,7,2,8,5,3,1,4]=>[4,1,3,5,8,2,7,6]
[5,7,2,1,8,6,3,4]=>[4,3,6,8,1,2,7,5]
[5,7,1,2,8,6,3,4]=>[4,3,6,8,2,1,7,5]
[5,1,7,2,8,6,4,3]=>[3,4,6,8,2,7,1,5]
[1,5,7,3,8,6,4,2]=>[2,4,6,8,3,7,5,1]
[1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]
[6,1,7,8,2,5,4,3]=>[3,4,5,2,8,7,1,6]
[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]
[6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]
[6,7,8,2,4,3,1,5]=>[5,1,3,4,2,8,7,6]
[6,7,1,8,5,2,3,4]=>[4,3,2,5,8,1,7,6]
[6,1,7,8,5,2,4,3]=>[3,4,2,5,8,7,1,6]
[1,6,7,8,5,3,4,2]=>[2,4,3,5,8,7,6,1]
[6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]
[6,7,1,8,5,3,2,4]=>[4,2,3,5,8,1,7,6]
[6,7,8,4,1,3,2,5]=>[5,2,3,1,4,8,7,6]
[6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]
[6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]
[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]
[3,8,4,7,5,2,1,6]=>[6,1,2,5,7,4,8,3]
[5,8,1,4,7,2,3,6]=>[6,3,2,7,4,1,8,5]
[5,6,1,4,8,7,3,2]=>[2,3,7,8,4,1,6,5]
[3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]
[5,1,4,8,6,3,7,2]=>[2,7,3,6,8,4,1,5]
[3,4,7,1,8,6,5,2]=>[2,5,6,8,1,7,4,3]
[6,3,8,4,2,7,1,5]=>[5,1,7,2,4,8,3,6]
[3,6,8,7,1,4,2,5]=>[5,2,4,1,7,8,6,3]
[5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]
[4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]
[5,8,1,7,6,2,4,3]=>[3,4,2,6,7,1,8,5]
[4,6,1,2,7,8,5,3]=>[3,5,8,7,2,1,6,4]
[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]
[6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]
[6,5,2,7,4,8,1,3]=>[3,1,8,4,7,2,5,6]
[5,7,1,4,8,3,2,6]=>[6,2,3,8,4,1,7,5]
[7,8,3,5,1,4,6,2]=>[2,6,4,1,5,3,8,7]
[5,8,1,4,6,7,2,3]=>[3,2,7,6,4,1,8,5]
[6,5,8,4,3,7,2,1]=>[1,2,7,3,4,8,5,6]
[6,3,7,4,2,8,5,1]=>[1,5,8,2,4,7,3,6]
[8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]
[3,8,6,7,1,4,5,2]=>[2,5,4,1,7,6,8,3]
[5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]
[4,3,8,7,1,5,6,2]=>[2,6,5,1,7,8,3,4]
[8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]
[5,6,1,8,7,3,2,4]=>[4,2,3,7,8,1,6,5]
[5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]
[7,5,3,6,4,2,8,1]=>[1,8,2,4,6,3,5,7]
[6,4,1,5,3,8,2,7]=>[7,2,8,3,5,1,4,6]
[8,5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5,8]
[8,2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2,8]
[7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]
[6,2,7,4,3,5,8,1]=>[1,8,5,3,4,7,2,6]
[5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]
[3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]
[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]
[6,5,4,3,1,8,2,7]=>[7,2,8,1,3,4,5,6]
[8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]
[8,5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5,8]
[7,5,4,1,8,3,2,6]=>[6,2,3,8,1,4,5,7]
[1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1]
[5,7,4,2,1,8,3,6]=>[6,3,8,1,2,4,7,5]
[1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]
[5,4,6,3,1,8,2,7]=>[7,2,8,1,3,6,4,5]
[6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]
[5,8,2,6,4,7,3,1]=>[1,3,7,4,6,2,8,5]
[3,8,6,2,5,7,4,1]=>[1,4,7,5,2,6,8,3]
[7,8,5,3,2,6,4,1]=>[1,4,6,2,3,5,8,7]
[6,8,3,1,7,2,5,4]=>[4,5,2,7,1,3,8,6]
[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]
[8,7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7,8]
[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]
[7,8,1,6,3,2,5,4]=>[4,5,2,3,6,1,8,7]
[2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]
[3,8,6,1,7,4,5,2]=>[2,5,4,7,1,6,8,3]
[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]
[4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]
[5,1,7,6,8,3,2,4]=>[4,2,3,8,6,7,1,5]
[3,7,1,5,8,4,2,6]=>[6,2,4,8,5,1,7,3]
[6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]
[1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]
[1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]
[7,6,1,8,4,3,2,5]=>[5,2,3,4,8,1,6,7]
[8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]
[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]
[7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]
[7,2,6,1,8,4,3,5]=>[5,3,4,8,1,6,2,7]
[8,2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2,8]
[8,3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3,8]
[7,3,1,5,8,4,2,6]=>[6,2,4,8,5,1,3,7]
[4,2,1,5,8,3,6,7]=>[7,6,3,8,5,1,2,4]
[5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]
[5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]
[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]
[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]
[6,5,2,8,7,3,4,1]=>[1,4,3,7,8,2,5,6]
[6,5,1,8,7,4,2,3]=>[3,2,4,7,8,1,5,6]
[8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]
[5,1,8,3,7,6,2,4]=>[4,2,6,7,3,8,1,5]
[5,4,8,1,7,2,6,3]=>[3,6,2,7,1,8,4,5]
[7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]
[3,6,8,2,4,7,5,1]=>[1,5,7,4,2,8,6,3]
[5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]
[5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]
[5,2,6,8,7,3,4,1]=>[1,4,3,7,8,6,2,5]
[4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]
[3,6,8,1,7,2,5,4]=>[4,5,2,7,1,8,6,3]
[2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]
[7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]
[2,1,8,7,5,6,3,4]=>[4,3,6,5,7,8,1,2]
[8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]
[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]
[7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]
[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]
[1,3,8,7,4,6,2,5]=>[5,2,6,4,7,8,3,1]
[1,5,8,3,7,6,2,4]=>[4,2,6,7,3,8,5,1]
[5,1,6,8,7,4,2,3]=>[3,2,4,7,8,6,1,5]
[6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]
[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]
[3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]
[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]
[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]
[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]
[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]
[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]
[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]
[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]
[3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]
[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]
[4,7,2,8,5,6,1,3]=>[3,1,6,5,8,2,7,4]
[4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]
[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]
[3,7,2,8,5,6,1,4]=>[4,1,6,5,8,2,7,3]
[2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]
[2,7,4,8,5,6,1,3]=>[3,1,6,5,8,4,7,2]
[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]
[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]
[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]
[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]
[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]
[1,7,4,8,5,6,2,3]=>[3,2,6,5,8,4,7,1]
[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]
[2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]
[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]
[1,7,3,8,4,6,2,5]=>[5,2,6,4,8,3,7,1]
[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]
[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]
[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]
[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]
[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]
[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]
[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]
[2,7,3,8,4,6,1,5]=>[5,1,6,4,8,3,7,2]
[3,7,2,8,4,6,1,5]=>[5,1,6,4,8,2,7,3]
[3,7,1,8,4,6,2,5]=>[5,2,6,4,8,1,7,3]
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]
[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]
[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]
[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]
[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]
[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]
[1,5,2,8,6,7,3,4]=>[4,3,7,6,8,2,5,1]
[2,5,1,8,6,7,3,4]=>[4,3,7,6,8,1,5,2]
[2,6,1,8,5,7,3,4]=>[4,3,7,5,8,1,6,2]
[1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]
[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]
[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]
[1,6,2,8,4,7,3,5]=>[5,3,7,4,8,2,6,1]
[2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]
[3,7,2,6,1,8,4,5]=>[5,4,8,1,6,2,7,3]
[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]
[4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]
[5,8,1,6,2,7,3,4]=>[4,3,7,2,6,1,8,5]
[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]
[7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]
[6,8,2,5,1,7,3,4]=>[4,3,7,1,5,2,8,6]
[5,8,2,6,1,7,3,4]=>[4,3,7,1,6,2,8,5]
[4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]
[1,7,3,6,2,8,4,5]=>[5,4,8,2,6,3,7,1]
[2,7,3,6,1,8,4,5]=>[5,4,8,1,6,3,7,2]
[6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]
[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]
[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]
[5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]
[5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]
[6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]
[5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]
[5,6,4,8,3,7,1,2]=>[2,1,7,3,8,4,6,5]
[5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]
[5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]
[5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]
[5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]
[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]
[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]
[7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]
[6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]
[5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]
[5,6,4,8,2,3,1,7]=>[7,1,3,2,8,4,6,5]
[5,6,3,8,2,4,1,7]=>[7,1,4,2,8,3,6,5]
[5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]
[4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]
[4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]
[4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]
[4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]
[5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]
[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]
[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]
[7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]
[5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]
[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]
[4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]
[4,6,3,7,2,8,1,5]=>[5,1,8,2,7,3,6,4]
[4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]
[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]
[4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]
[5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]
[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]
[5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]
[6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]
[6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]
[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]
[6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]
[6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]
[6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]
[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]
[6,7,3,4,2,8,1,5]=>[5,1,8,2,4,3,7,6]
[5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]
[5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]
[5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]
[5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]
[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]
[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]
[7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]
[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]
[5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]
[4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]
[4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]
[4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]
[4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]
[4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]
[4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]
[4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]
[4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4]
[5,8,3,4,2,7,1,6]=>[6,1,7,2,4,3,8,5]
[6,8,3,4,2,7,1,5]=>[5,1,7,2,4,3,8,6]
[7,8,3,4,2,6,1,5]=>[5,1,6,2,4,3,8,7]
[6,8,3,4,2,5,1,7]=>[7,1,5,2,4,3,8,6]
[5,8,3,4,2,6,1,7]=>[7,1,6,2,4,3,8,5]
[4,8,3,5,2,6,1,7]=>[7,1,6,2,5,3,8,4]
[4,5,3,8,2,6,1,7]=>[7,1,6,2,8,3,5,4]
[4,5,3,6,2,8,1,7]=>[7,1,8,2,6,3,5,4]
[4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]
[4,8,5,2,1,7,6,3]=>[3,6,7,1,2,5,8,4]
[4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]
[5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]
[6,4,5,3,1,2,8,7]=>[7,8,2,1,3,5,4,6]
[5,4,6,1,3,2,8,7]=>[7,8,2,3,1,6,4,5]
[4,6,8,1,7,3,2,5]=>[5,2,3,7,1,8,6,4]
[4,7,8,1,6,3,5,2]=>[2,5,3,6,1,8,7,4]
[7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]
[5,4,8,1,3,7,6,2]=>[2,6,7,3,1,8,4,5]
[8,4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4,8]
[5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]
[6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]
[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]
[8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]
[8,4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4,8]
[6,3,2,8,7,4,1,5]=>[5,1,4,7,8,2,3,6]
[2,1,6,8,7,4,3,5]=>[5,3,4,7,8,6,1,2]
[2,1,7,8,6,4,5,3]=>[3,5,4,6,8,7,1,2]
[7,3,2,8,6,4,5,1]=>[1,5,4,6,8,2,3,7]
[7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]
[5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]
[6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]
[5,8,4,2,3,7,6,1]=>[1,6,7,3,2,4,8,5]
[7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]
[4,8,7,2,6,3,5,1]=>[1,5,3,6,2,7,8,4]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]
[3,6,1,8,7,4,2,5]=>[5,2,4,7,8,1,6,3]
[3,7,1,8,6,4,5,2]=>[2,5,4,6,8,1,7,3]
[3,8,1,6,7,5,2,4]=>[4,2,5,7,6,1,8,3]
[3,7,1,6,8,2,5,4]=>[4,5,2,8,6,1,7,3]
[4,7,6,2,8,1,3,5]=>[5,3,1,8,2,6,7,4]
[6,7,4,2,8,1,5,3]=>[3,5,1,8,2,4,7,6]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]
[2,1,8,6,7,5,3,4]=>[4,3,5,7,6,8,1,2]
[8,3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3,8]
[8,6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6,8]
[5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]
[6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]
[8,6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6,8]
[7,6,4,3,8,1,5,2]=>[2,5,1,8,3,4,6,7]
[7,3,2,6,8,1,5,4]=>[4,5,1,8,6,2,3,7]
[2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]
[7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]
[8,1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1,8]
[5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]
[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]
[6,2,7,5,4,8,3,1]=>[1,3,8,4,5,7,2,6]
[8,1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1,8]
[6,1,5,4,3,8,7,2]=>[2,7,8,3,4,5,1,6]
[6,1,8,3,4,5,7,2]=>[2,7,5,4,3,8,1,6]
[7,1,5,3,4,8,6,2]=>[2,6,8,4,3,5,1,7]
[7,1,4,3,5,6,8,2]=>[2,8,6,5,3,4,1,7]
[8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]
[1,7,2,4,5,6,3,8]=>[8,3,6,5,4,2,7,1]
[6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]
[8,4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4,8]
[6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]
[8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]
[6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]
[5,6,2,1,4,8,3,7]=>[7,3,8,4,1,2,6,5]
[3,6,1,8,5,2,4,7]=>[7,4,2,5,8,1,6,3]
[1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]
[3,4,1,2,8,6,5,7]=>[7,5,6,8,2,1,4,3]
[4,3,1,2,6,8,5,7]=>[7,5,8,6,2,1,3,4]
[5,8,1,6,3,2,4,7]=>[7,4,2,3,6,1,8,5]
[6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]
[8,3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3,8]
[3,8,2,6,1,5,7,4]=>[4,7,5,1,6,2,8,3]
[3,8,6,7,2,1,5,4]=>[4,5,1,2,7,6,8,3]
[8,5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5,8]
[7,2,5,8,3,1,6,4]=>[4,6,1,3,8,5,2,7]
[1,7,5,6,3,2,4,8]=>[8,4,2,3,6,5,7,1]
[6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]
[7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]
[7,2,1,3,8,6,4,5]=>[5,4,6,8,3,1,2,7]
[1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]
[5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]
[5,8,2,4,1,3,7,6]=>[6,7,3,1,4,2,8,5]
[8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]
[4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]
[3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]
[8,1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1,8]
[3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]
[4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]
[2,4,1,3,8,7,5,6]=>[6,5,7,8,3,1,4,2]
[2,5,8,3,1,7,4,6]=>[6,4,7,1,3,8,5,2]
[8,6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6,8]
[2,8,1,3,6,4,7,5]=>[5,7,4,6,3,1,8,2]
[6,8,2,3,4,1,5,7]=>[7,5,1,4,3,2,8,6]
[5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]
[1,4,2,7,8,6,3,5]=>[5,3,6,8,7,2,4,1]
[1,6,2,4,8,5,3,7]=>[7,3,5,8,4,2,6,1]
[1,6,2,4,7,5,3,8]=>[8,3,5,7,4,2,6,1]
[1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]
[1,7,3,2,8,6,4,5]=>[5,4,6,8,2,3,7,1]
[4,2,5,7,8,6,1,3]=>[3,1,6,8,7,5,2,4]
[7,2,3,1,8,5,6,4]=>[4,6,5,8,1,3,2,7]
[8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]
[6,2,1,8,3,4,7,5]=>[5,7,4,3,8,1,2,6]
[6,2,8,3,5,1,7,4]=>[4,7,1,5,3,8,2,6]
[6,2,4,8,5,7,1,3]=>[3,1,7,5,8,4,2,6]
[1,3,6,4,8,5,7,2]=>[2,7,5,8,4,6,3,1]
[1,3,6,4,7,5,8,2]=>[2,8,5,7,4,6,3,1]
[6,2,4,7,5,8,1,3]=>[3,1,8,5,7,4,2,6]
[6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]
[7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]
[7,6,4,2,3,1,8,5]=>[5,8,1,3,2,4,6,7]
[5,7,2,3,1,6,8,4]=>[4,8,6,1,3,2,7,5]
[7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]
[1,7,5,3,4,6,8,2]=>[2,8,6,4,3,5,7,1]
[8,2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2,8]
[5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]
[8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]
[8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]
[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]
[1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]
[6,8,4,1,3,2,5,7]=>[7,5,2,3,1,4,8,6]
[1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]
[1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]
[5,3,8,1,2,7,4,6]=>[6,4,7,2,1,8,3,5]
[5,1,8,3,2,6,4,7]=>[7,4,6,2,3,8,1,5]
[5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]
[1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]
[1,5,8,2,4,6,3,7]=>[7,3,6,4,2,8,5,1]
[1,5,8,4,2,7,3,6]=>[6,3,7,2,4,8,5,1]
[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]
[5,3,1,6,7,2,4,8]=>[8,4,2,7,6,1,3,5]
[5,3,6,1,2,8,4,7]=>[7,4,8,2,1,6,3,5]
[1,6,3,2,7,8,4,5]=>[5,4,8,7,2,3,6,1]
[1,7,4,5,3,8,6,2]=>[2,6,8,3,5,4,7,1]
[6,3,4,1,2,5,8,7]=>[7,8,5,2,1,4,3,6]
[6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]
[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]
[8,6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6,8]
[8,5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5,8]
[4,5,2,6,8,1,7,3]=>[3,7,1,8,6,2,5,4]
[4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]
[5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]
[6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]
[7,2,3,1,4,5,8,6]=>[6,8,5,4,1,3,2,7]
[8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]
[8,3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3,8]
[3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]
[4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]
[8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]
[8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]
[8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]
[8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]
[8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]
[8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]
[8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]
[1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]
[5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]
[1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]
[1,4,7,6,2,8,3,5]=>[5,3,8,2,6,7,4,1]
[5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]
[1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]
[3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]
[5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]
[5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]
[4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]
[1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]
[1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]
[3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]
[2,1,7,6,3,4,8,5]=>[5,8,4,3,6,7,1,2]
[3,1,2,7,4,6,8,5]=>[5,8,6,4,7,2,1,3]
[1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]
[1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1]
[5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]
[1,4,2,7,6,8,3,5]=>[5,3,8,6,7,2,4,1]
[1,4,2,6,8,7,3,5]=>[5,3,7,8,6,2,4,1]
[3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]
[3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]
[5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]
[1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]
[4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]
[1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]
[3,1,7,8,2,6,4,5]=>[5,4,6,2,8,7,1,3]
[1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]
[5,2,8,1,3,4,7,6]=>[6,7,4,3,1,8,2,5]
[2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]
[1,4,2,6,8,3,7,5]=>[5,7,3,8,6,2,4,1]
[1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]
[1,2,3,7,5,8,6,4]=>[4,6,8,5,7,3,2,1]
[1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]
[3,1,7,2,8,6,4,5]=>[5,4,6,8,2,7,1,3]
[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]
[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]
[4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]
[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]
[6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]
[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]
[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]
[6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]
[5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]
[2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]
[3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]
[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]
[5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]
[7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]
[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]
[5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]
[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]
[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]
[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]
[3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]
[4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]
[5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]
[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]
[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]
[4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]
[3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]
[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]
[7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]
[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]
[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]
[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]
[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]
[5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]
[7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]
[8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]
[7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]
[6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]
[4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]
[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]
[6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]
[8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]
[8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]
[7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]
[5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]
[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]
[3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]
[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]
[3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]
[4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]
[7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]
[8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]
[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]
[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]
[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]
[3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]
[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]
[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]
[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]
[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]
[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]
[3,2,6,4,8,5,1,7]=>[7,1,5,8,4,6,2,3]
[3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]
[3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]
[4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]
[4,5,2,3,7,1,6,8]=>[8,6,1,7,3,2,5,4]
[4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]
[4,2,5,8,3,1,6,7]=>[7,6,1,3,8,5,2,4]
[3,1,5,4,2,8,6,7]=>[7,6,8,2,4,5,1,3]
[4,1,5,3,8,2,6,7]=>[7,6,2,8,3,5,1,4]
[4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]
[4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]
[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]
[4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]
[4,3,6,2,5,1,7,8]=>[8,7,1,5,2,6,3,4]
[4,6,3,2,5,1,7,8]=>[8,7,1,5,2,3,6,4]
[4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]
[4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]
[4,5,1,3,7,2,6,8]=>[8,6,2,7,3,1,5,4]
[3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]
[2,5,1,4,3,7,8,6]=>[6,8,7,3,4,1,5,2]
[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]
[5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]
[4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]
[4,3,1,7,5,2,6,8]=>[8,6,2,5,7,1,3,4]
[4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]
[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]
[5,3,6,4,1,2,7,8]=>[8,7,2,1,4,6,3,5]
[4,3,6,1,7,2,5,8]=>[8,5,2,7,1,6,3,4]
[6,3,4,1,2,7,5,8]=>[8,5,7,2,1,4,3,6]
[6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]
[3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]
[4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]
[5,3,6,2,1,4,7,8]=>[8,7,4,1,2,6,3,5]
[5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]
[4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]
[4,6,7,2,3,1,5,8]=>[8,5,1,3,2,7,6,4]
[4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]
[3,2,6,1,4,7,5,8]=>[8,5,7,4,1,6,2,3]
[3,6,2,1,4,7,5,8]=>[8,5,7,4,1,2,6,3]
[3,6,7,2,4,5,1,8]=>[8,1,5,4,2,7,6,3]
[3,5,2,7,4,6,1,8]=>[8,1,6,4,7,2,5,3]
[3,7,2,4,8,5,1,6]=>[6,1,5,8,4,2,7,3]
[7,2,1,4,6,3,8,5]=>[5,8,3,6,4,1,2,7]
[7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]
[3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]
[3,6,2,1,5,7,4,8]=>[8,4,7,5,1,2,6,3]
[6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]
[6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]
[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]
[4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]
[7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]
[7,3,1,5,2,6,4,8]=>[8,4,6,2,5,1,3,7]
[7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]
[6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]
[6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]
[6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]
[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]
[4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]
[3,6,5,1,2,7,4,8]=>[8,4,7,2,1,5,6,3]
[6,5,2,1,4,7,8,3]=>[3,8,7,4,1,2,5,6]
[6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]
[2,3,1,8,5,4,7,6]=>[6,7,4,5,8,1,3,2]
[2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]
[2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]
[3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]
[3,4,5,1,8,2,7,6]=>[6,7,2,8,1,5,4,3]
[1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]
[2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]
[3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]
[3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]
[3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]
[3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]
[3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]
[3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]
[3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]
[3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]
[3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]
[2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]
[1,8,4,6,3,7,2,5]=>[5,2,7,3,6,4,8,1]
[1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]
[3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]
[3,4,6,2,8,7,5,1]=>[1,5,7,8,2,6,4,3]
[3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]
[3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]
[4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]
[3,5,6,8,7,2,4,1]=>[1,4,2,7,8,6,5,3]
[2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]
[1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]
[1,8,5,6,7,3,2,4]=>[4,2,3,7,6,5,8,1]
[2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]
[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]
[4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]
[3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]
[2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]
[2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]
[1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]
[2,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,2]
[2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]
[2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]
[3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]
[3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]
[3,4,6,1,8,7,5,2]=>[2,5,7,8,1,6,4,3]
[2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]
[1,8,4,6,2,7,5,3]=>[3,5,7,2,6,4,8,1]
[1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]
[2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]
[3,5,6,8,7,1,4,2]=>[2,4,1,7,8,6,5,3]
[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]
[4,5,6,7,1,3,8,2]=>[2,8,3,1,7,6,5,4]
[4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]
[4,5,6,7,3,1,8,2]=>[2,8,1,3,7,6,5,4]
[3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]
[2,5,8,6,7,4,1,3]=>[3,1,4,7,6,8,5,2]
[1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]
[1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]
[2,5,8,6,7,4,3,1]=>[1,3,4,7,6,8,5,2]
[8,2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2,8]
[8,2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2,8]
[5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]
[4,2,5,6,1,8,3,7]=>[7,3,8,1,6,5,2,4]
[4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]
[6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]
[6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]
[3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]
[3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]
[4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]
[3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]
[3,7,1,5,8,2,4,6]=>[6,4,2,8,5,1,7,3]
[8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]
[7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]
[3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]
[3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]
[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]
[7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]
[6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]
[4,2,5,6,1,7,8,3]=>[3,8,7,1,6,5,2,4]
[5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]
[5,8,6,1,7,3,4,2]=>[2,4,3,7,1,6,8,5]
[6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]
[8,7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7,8]
[3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]
[3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]
[3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]
[3,2,5,1,6,8,7,4]=>[4,7,8,6,1,5,2,3]
[3,8,6,5,1,7,4,2]=>[2,4,7,1,5,6,8,3]
[3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]
[6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]
[3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]
[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]
[3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]
[3,2,4,1,6,8,5,7]=>[7,5,8,6,1,4,2,3]
[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]
[8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]
[3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]
[3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]
[6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]
[6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]
[8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]
[8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]
[5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]
[7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]
[8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]
[7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]
[3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]
[3,2,5,1,8,6,4,7]=>[7,4,6,8,1,5,2,3]
[7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]
[8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]
[4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]
[8,5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5,8]
[3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]
[8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]
[3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]
[3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]
[3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]
[3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]
[7,8,5,1,6,4,2,3]=>[3,2,4,6,1,5,8,7]
[3,8,5,1,7,6,4,2]=>[2,4,6,7,1,5,8,3]
[3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]
[8,7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7,8]
[3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]
[6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]
[4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]
[4,6,3,7,5,1,8,2]=>[2,8,1,5,7,3,6,4]
[4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]
[2,5,7,4,1,6,3,8]=>[8,3,6,1,4,7,5,2]
[2,5,7,4,1,6,8,3]=>[3,8,6,1,4,7,5,2]
[5,4,7,3,6,1,8,2]=>[2,8,1,6,3,7,4,5]
[5,4,7,8,3,1,6,2]=>[2,6,1,3,8,7,4,5]
[4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]
[6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]
[5,8,4,3,6,1,7,2]=>[2,7,1,6,3,4,8,5]
[5,4,8,3,6,1,7,2]=>[2,7,1,6,3,8,4,5]
[5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]
[2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]
[3,2,5,8,1,6,7,4]=>[4,7,6,1,8,5,2,3]
[2,5,4,6,8,1,7,3]=>[3,7,1,8,6,4,5,2]
[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]
[4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]
[2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]
[2,4,1,7,5,3,8,6]=>[6,8,3,5,7,1,4,2]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]
[5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]
[2,5,8,4,1,6,3,7]=>[7,3,6,1,4,8,5,2]
[3,2,5,6,1,8,4,7]=>[7,4,8,1,6,5,2,3]
[4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]
[3,5,2,8,1,6,4,7]=>[7,4,6,1,8,2,5,3]
[3,2,1,6,8,5,4,7]=>[7,4,5,8,6,1,2,3]
[3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]
[3,2,7,1,5,8,6,4]=>[4,6,8,5,1,7,2,3]
[3,8,2,5,1,6,7,4]=>[4,7,6,1,5,2,8,3]
[4,8,3,2,6,7,1,5]=>[5,1,7,6,2,3,8,4]
[4,3,8,2,6,7,1,5]=>[5,1,7,6,2,8,3,4]
[4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]
[4,3,2,6,7,1,5,8]=>[8,5,1,7,6,2,3,4]
[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]
[4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]
[2,5,7,4,8,1,6,3]=>[3,6,1,8,4,7,5,2]
[3,2,5,7,8,1,6,4]=>[4,6,1,8,7,5,2,3]
[3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]
[3,2,5,7,1,6,4,8]=>[8,4,6,1,7,5,2,3]
[6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]
[6,3,2,7,1,5,8,4]=>[4,8,5,1,7,2,3,6]
[6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]
[4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]
[6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]
[2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]
[6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]
[6,3,2,7,1,4,8,5]=>[5,8,4,1,7,2,3,6]
[6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]
[6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]
[3,5,2,1,7,4,6,8]=>[8,6,4,7,1,2,5,3]
[3,5,2,1,7,8,4,6]=>[6,4,8,7,1,2,5,3]
[5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]
[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]
[2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]
[3,2,7,1,4,8,6,5]=>[5,6,8,4,1,7,2,3]
[3,5,8,2,1,7,4,6]=>[6,4,7,1,2,8,5,3]
[4,8,3,7,2,1,5,6]=>[6,5,1,2,7,3,8,4]
[4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]
[4,3,7,2,1,5,6,8]=>[8,6,5,1,2,7,3,4]
[4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]
[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]
[6,3,2,8,1,4,7,5]=>[5,7,4,1,8,2,3,6]
[3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]
[5,3,2,1,8,4,6,7]=>[7,6,4,8,1,2,3,5]
[4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]
[4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]
[6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]
[8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]
[8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]
[8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]
[6,2,5,3,4,1,8,7]=>[7,8,1,4,3,5,2,6]
[6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]
[6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]
[6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]
[6,3,5,1,4,2,8,7]=>[7,8,2,4,1,5,3,6]
[8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]
[8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]
[8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]
[8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]
[8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]
[8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]
[2,1,8,4,5,3,7,6]=>[6,7,3,5,4,8,1,2]
[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]
[8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]
[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]
[8,3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3,8]
[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]
[8,3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3,8]
[8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]
[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]
[8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]
[8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]
[8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]
[2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]
[8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]
[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]
[8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]
[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]
[8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]
[8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]
[8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]
[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]
[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]
[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]
[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]
[8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]
[8,2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2,8]
[8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]
[8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]
[8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]
[8,2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2,8]
[8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]
[4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]
[4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]
[8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]
[8,2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2,8]
[8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]
[8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]
[8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]
[8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]
[8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]
[8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]
[2,1,8,6,7,3,5,4]=>[4,5,3,7,6,8,1,2]
[2,1,8,3,7,5,6,4]=>[4,6,5,7,3,8,1,2]
[8,1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1,8]
[8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]
[8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]
[8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]
[8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]
[8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]
[8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]
[8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]
[8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]
[8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]
[8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]
[2,1,8,5,7,3,6,4]=>[4,6,3,7,5,8,1,2]
[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]
[8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]
[8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]
[8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]
[8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]
[2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]
[6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]
[4,5,8,6,3,2,7,1]=>[1,7,2,3,6,8,5,4]
[6,5,8,7,3,1,2,4]=>[4,2,1,3,7,8,5,6]
[1,5,8,7,3,6,2,4]=>[4,2,6,3,7,8,5,1]
[1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]
[6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]
[3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]
[2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]
[2,8,4,6,1,5,7,3]=>[3,7,5,1,6,4,8,2]
[6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]
[3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]
[2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]
[6,3,7,8,4,1,5,2]=>[2,5,1,4,8,7,3,6]
[1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]
[1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]
[5,1,7,8,2,4,6,3]=>[3,6,4,2,8,7,1,5]
[3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]
[7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]
[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]
[2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]
[5,2,8,7,3,6,1,4]=>[4,1,6,3,7,8,2,5]
[7,2,1,8,4,6,5,3]=>[3,5,6,4,8,1,2,7]
[3,2,7,8,4,6,5,1]=>[1,5,6,4,8,7,2,3]
[5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]
[1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]
[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]
[7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]
[6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]
[2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]
[2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]
[6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]
[7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]
[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]
[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]
[2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]
[5,7,1,8,3,4,6,2]=>[2,6,4,3,8,1,7,5]
[3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]
[1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]
[1,6,8,5,4,3,2,7]=>[7,2,3,4,5,8,6,1]
[4,6,8,5,1,3,2,7]=>[7,2,3,1,5,8,6,4]
[5,6,8,1,4,3,2,7]=>[7,2,3,4,1,8,6,5]
[7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]
[2,4,8,3,6,5,1,7]=>[7,1,5,6,3,8,4,2]
[2,8,4,1,5,6,3,7]=>[7,3,6,5,1,4,8,2]
[4,1,8,3,5,6,2,7]=>[7,2,6,5,3,8,1,4]
[5,6,8,4,1,3,2,7]=>[7,2,3,1,4,8,6,5]
[4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]
[1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]
[1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]
[3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]
[2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]
[7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]
[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]
[2,8,7,4,1,6,5,3]=>[3,5,6,1,4,7,8,2]
[2,8,5,4,3,1,6,7]=>[7,6,1,3,4,5,8,2]
[6,5,8,4,2,3,1,7]=>[7,1,3,2,4,8,5,6]
[4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]
[1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]
[7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]
[6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]
[2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]
[2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]
[6,2,8,4,5,3,1,7]=>[7,1,3,5,4,8,2,6]
[7,2,3,8,5,4,6,1]=>[1,6,4,5,8,3,2,7]
[4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]
[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]
[5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]
[2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]
[1,2,8,4,5,3,7,6]=>[6,7,3,5,4,8,2,1]
[1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]
[1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]
[8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]
[3,8,1,5,2,4,6,7]=>[7,6,4,2,5,1,8,3]
[3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]
[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]
[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]
[1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]
[1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]
[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]
[1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]
[5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]
[8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]
[2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]
[1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]
[1,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,1]
[2,8,1,4,3,7,6,5]=>[5,6,7,3,4,1,8,2]
[6,1,2,8,7,4,3,5]=>[5,3,4,7,8,2,1,6]
[6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]
[3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]
[7,6,1,4,2,8,3,5]=>[5,3,8,2,4,1,6,7]
[7,1,6,2,8,4,3,5]=>[5,3,4,8,2,6,1,7]
[1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]
[6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]
[6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]
[3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]
[7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]
[1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]
[1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]
[6,1,2,8,4,3,7,5]=>[5,7,3,4,8,2,1,6]
[6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]
[7,6,1,3,2,4,8,5]=>[5,8,4,2,3,1,6,7]
[6,7,1,3,2,4,8,5]=>[5,8,4,2,3,1,7,6]
[1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]
[1,2,7,5,8,3,4,6]=>[6,4,3,8,5,7,2,1]
[5,8,1,3,7,2,4,6]=>[6,4,2,7,3,1,8,5]
[1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]
[1,2,5,8,3,7,4,6]=>[6,4,7,3,8,5,2,1]
[2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]
[8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]
[4,2,8,1,7,3,6,5]=>[5,6,3,7,1,8,2,4]
[2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]
[7,1,2,8,4,3,6,5]=>[5,6,3,4,8,2,1,7]
[1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]
[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]
[2,8,1,7,5,3,4,6]=>[6,4,3,5,7,1,8,2]
[8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]
[3,8,6,1,4,7,2,5]=>[5,2,7,4,1,6,8,3]
[8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]
[8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]
[7,1,2,8,6,4,3,5]=>[5,3,4,6,8,2,1,7]
[7,4,1,2,8,6,3,5]=>[5,3,6,8,2,1,4,7]
[3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]
[3,4,8,7,1,6,2,5]=>[5,2,6,1,7,8,4,3]
[4,2,8,1,7,6,3,5]=>[5,3,6,7,1,8,2,4]
[2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]
[7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]
[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]
[6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]
[6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]
[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]
[5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]
[5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]
[6,8,3,4,1,5,2,7]=>[7,2,5,1,4,3,8,6]
[6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]
[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]
[5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]
[5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]
[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]
[4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]
[4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]
[4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]
[4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]
[5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]
[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]
[5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]
[4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]
[4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]
[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]
[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]
[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]
[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]
[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]
[5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]
[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]
[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]
[4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]
[4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]
[6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]
[4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]
[8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]
[6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]
[8,7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7,8]
[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]
[8,3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3,8]
[6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]
[5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]
[2,8,7,4,3,6,1,5]=>[5,1,6,3,4,7,8,2]
[8,1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1,8]
[8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]
[2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]
[6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]
[5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]
[2,5,8,4,7,6,3,1]=>[1,3,6,7,4,8,5,2]
[4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]
[4,8,1,3,5,6,7,2]=>[2,7,6,5,3,1,8,4]
[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]
[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]
[4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]
[3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]
[3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]
[8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]
[8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]
[8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]
[2,8,7,4,5,1,3,6]=>[6,3,1,5,4,7,8,2]
[8,7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7,8]
[5,8,3,6,2,4,7,1]=>[1,7,4,2,6,3,8,5]
[8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]
[8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]
[5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]
[5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]
[2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]
[6,1,8,4,5,7,2,3]=>[3,2,7,5,4,8,1,6]
[6,8,3,5,1,7,2,4]=>[4,2,7,1,5,3,8,6]
[2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]
[5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]
[4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]
[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]
[4,8,2,1,5,6,7,3]=>[3,7,6,5,1,2,8,4]
[3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]
[5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]
[5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]
[4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]
[3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]
[4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]
[3,5,7,2,6,4,8,1]=>[1,8,4,6,2,7,5,3]
[2,5,7,3,6,4,8,1]=>[1,8,4,6,3,7,5,2]
[1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]
[8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]
[6,7,2,3,5,4,8,1]=>[1,8,4,5,3,2,7,6]
[5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]
[8,3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3,8]
[8,2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2,8]
[3,1,4,7,6,8,5,2]=>[2,5,8,6,7,4,1,3]
[4,1,3,7,6,8,5,2]=>[2,5,8,6,7,3,1,4]
[5,1,7,3,6,8,4,2]=>[2,4,8,6,3,7,1,5]
[6,7,1,3,5,8,4,2]=>[2,4,8,5,3,1,7,6]
[5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]
[4,8,3,7,6,1,5,2]=>[2,5,1,6,7,3,8,4]
[3,8,4,7,6,1,5,2]=>[2,5,1,6,7,4,8,3]
[2,8,4,7,1,6,5,3]=>[3,5,6,1,7,4,8,2]
[8,1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1,8]
[8,1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1,8]
[2,8,3,1,7,6,5,4]=>[4,5,6,7,1,3,8,2]
[3,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,3]
[6,7,1,2,8,5,4,3]=>[3,4,5,8,2,1,7,6]
[8,2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2,8]
[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]
[3,4,1,7,6,8,5,2]=>[2,5,8,6,7,1,4,3]
[1,4,2,7,8,6,5,3]=>[3,5,6,8,7,2,4,1]
[8,4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4,8]
[8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]
[1,5,7,2,8,6,4,3]=>[3,4,6,8,2,7,5,1]
[2,5,7,1,8,6,4,3]=>[3,4,6,8,1,7,5,2]
[3,5,7,1,6,8,4,2]=>[2,4,8,6,1,7,5,3]
[6,7,4,5,8,1,3,2]=>[2,3,1,8,5,4,7,6]
[5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]
[2,5,7,8,1,6,4,3]=>[3,4,6,1,8,7,5,2]
[1,5,7,8,2,6,4,3]=>[3,4,6,2,8,7,5,1]
[8,5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5,8]
[8,4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4,8]
[1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]
[3,4,8,7,6,1,5,2]=>[2,5,1,6,7,8,4,3]
[4,3,8,7,6,1,5,2]=>[2,5,1,6,7,8,3,4]
[5,3,7,8,6,1,4,2]=>[2,4,1,6,8,7,3,5]
[6,7,2,8,1,5,4,3]=>[3,4,5,1,8,2,7,6]
[5,2,7,8,1,6,4,3]=>[3,4,6,1,8,7,2,5]
[4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]
[3,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,3]
[1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]
[8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]
[8,2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2,8]
[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]
[2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]
[5,1,7,8,2,6,4,3]=>[3,4,6,2,8,7,1,5]
[6,7,1,8,2,5,4,3]=>[3,4,5,2,8,1,7,6]
[5,8,7,1,2,6,4,3]=>[3,4,6,2,1,7,8,5]
[4,8,1,7,2,6,5,3]=>[3,5,6,2,7,1,8,4]
[3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]
[2,8,1,3,7,6,5,4]=>[4,5,6,7,3,1,8,2]
[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]
[8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]
[6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]
[3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]
[2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]
[3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]
[4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]
[5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]
[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]
[6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]
[5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]
[4,5,6,1,8,7,2,3]=>[3,2,7,8,1,6,5,4]
[3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]
[2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]
[2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]
[3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]
[4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]
[5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]
[7,3,1,5,8,2,6,4]=>[4,6,2,8,5,1,3,7]
[8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]
[8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]
[7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]
[6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]
[4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]
[2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]
[4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]
[6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]
[7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]
[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]
[8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]
[7,3,1,4,2,8,6,5]=>[5,6,8,2,4,1,3,7]
[6,3,4,1,2,8,7,5]=>[5,7,8,2,1,4,3,6]
[4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]
[3,6,4,1,2,8,7,5]=>[5,7,8,2,1,4,6,3]
[2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]
[2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]
[3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]
[4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]
[8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]
[4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]
[3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]
[2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]
[2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]
[3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]
[5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]
[6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]
[8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]
[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]
[7,4,1,2,3,8,6,5]=>[5,6,8,3,2,1,4,7]
[6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]
[5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]
[3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]
[6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]
[7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]
[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]
[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]
[7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]
[6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]
[2,4,3,6,1,5,8,7]=>[7,8,5,1,6,3,4,2]
[2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]
[2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]
[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]
[2,4,6,3,5,1,8,7]=>[7,8,1,5,3,6,4,2]
[2,4,6,3,1,5,8,7]=>[7,8,5,1,3,6,4,2]
[2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]
[2,4,6,1,5,3,8,7]=>[7,8,3,5,1,6,4,2]
[4,2,6,5,3,1,8,7]=>[7,8,1,3,5,6,2,4]
[4,2,6,5,1,3,8,7]=>[7,8,3,1,5,6,2,4]
[4,2,6,5,1,8,7,3]=>[3,7,8,1,5,6,2,4]
[4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]
[4,2,6,5,8,1,3,7]=>[7,3,1,8,5,6,2,4]
[4,2,6,5,8,3,1,7]=>[7,1,3,8,5,6,2,4]
[2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]
[2,4,1,6,5,8,3,7]=>[7,3,8,5,6,1,4,2]
[2,1,4,6,5,8,3,7]=>[7,3,8,5,6,4,1,2]
[2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]
[2,4,6,1,5,8,7,3]=>[3,7,8,5,1,6,4,2]
[4,2,6,5,3,8,7,1]=>[1,7,8,3,5,6,2,4]
[4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]
[2,6,4,3,8,7,1,5]=>[5,1,7,8,3,4,6,2]
[2,6,4,3,8,7,5,1]=>[1,5,7,8,3,4,6,2]
[4,2,6,8,5,3,7,1]=>[1,7,3,5,8,6,2,4]
[2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]
[2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]
[2,4,1,6,8,5,7,3]=>[3,7,5,8,6,1,4,2]
[2,1,4,6,8,5,7,3]=>[3,7,5,8,6,4,1,2]
[2,1,4,6,8,5,3,7]=>[7,3,5,8,6,4,1,2]
[2,4,1,6,8,5,3,7]=>[7,3,5,8,6,1,4,2]
[2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]
[2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]
[4,2,6,8,5,3,1,7]=>[7,1,3,5,8,6,2,4]
[4,2,6,8,5,1,3,7]=>[7,3,1,5,8,6,2,4]
[4,2,6,8,5,1,7,3]=>[3,7,1,5,8,6,2,4]
[2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]
[2,4,6,8,3,5,1,7]=>[7,1,5,3,8,6,4,2]
[2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]
[2,4,6,3,1,8,5,7]=>[7,5,8,1,3,6,4,2]
[2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]
[2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]
[2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]
[2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]
[2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]
[2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]
[2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]
[2,4,3,1,6,8,5,7]=>[7,5,8,6,1,3,4,2]
[2,4,1,3,6,8,7,5]=>[5,7,8,6,3,1,4,2]
[2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]
[2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]
[4,6,5,2,8,7,3,1]=>[1,3,7,8,2,5,6,4]
[4,6,5,2,8,7,1,3]=>[3,1,7,8,2,5,6,4]
[4,6,2,5,8,7,1,3]=>[3,1,7,8,5,2,6,4]
[4,6,2,5,8,7,3,1]=>[1,3,7,8,5,2,6,4]
[2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]
[2,4,6,3,1,8,7,5]=>[5,7,8,1,3,6,4,2]
[2,4,1,6,3,8,7,5]=>[5,7,8,3,6,1,4,2]
[2,1,4,6,3,8,7,5]=>[5,7,8,3,6,4,1,2]
[2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]
[2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]
[2,4,6,1,8,3,7,5]=>[5,7,3,8,1,6,4,2]
[2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]
[2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]
[4,6,2,8,5,7,3,1]=>[1,3,7,5,8,2,6,4]
[4,6,2,8,5,7,1,3]=>[3,1,7,5,8,2,6,4]
[6,2,4,8,7,1,3,5]=>[5,3,1,7,8,4,2,6]
[6,4,2,8,7,5,3,1]=>[1,3,5,7,8,2,4,6]
[2,6,4,8,1,7,5,3]=>[3,5,7,1,8,4,6,2]
[2,6,4,1,8,7,5,3]=>[3,5,7,8,1,4,6,2]
[2,6,1,4,8,7,5,3]=>[3,5,7,8,4,1,6,2]
[2,1,6,4,8,7,5,3]=>[3,5,7,8,4,6,1,2]
[2,1,6,4,8,7,3,5]=>[5,3,7,8,4,6,1,2]
[2,6,1,4,8,7,3,5]=>[5,3,7,8,4,1,6,2]
[2,6,4,1,8,7,3,5]=>[5,3,7,8,1,4,6,2]
[2,6,4,8,1,7,3,5]=>[5,3,7,1,8,4,6,2]
[6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]
[6,2,4,8,7,3,5,1]=>[1,5,3,7,8,4,2,6]
[6,2,4,8,7,3,1,5]=>[5,1,3,7,8,4,2,6]
[1,6,4,7,3,8,2,5]=>[5,2,8,3,7,4,6,1]
[1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]
[5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]
[1,7,6,3,4,8,2,5]=>[5,2,8,4,3,6,7,1]
[8,1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1,8]
[7,1,6,3,8,2,4,5]=>[5,4,2,8,3,6,1,7]
[1,2,7,4,8,3,5,6]=>[6,5,3,8,4,7,2,1]
[6,1,7,3,4,8,2,5]=>[5,2,8,4,3,7,1,6]
[2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]
[5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]
[4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]
[2,8,6,3,7,1,4,5]=>[5,4,1,7,3,6,8,2]
[6,8,1,3,7,2,4,5]=>[5,4,2,7,3,1,8,6]
[5,8,2,1,7,3,4,6]=>[6,4,3,7,1,2,8,5]
[5,7,2,1,8,3,4,6]=>[6,4,3,8,1,2,7,5]
[6,7,1,3,8,2,4,5]=>[5,4,2,8,3,1,7,6]
[5,1,2,4,8,3,6,7]=>[7,6,3,8,4,2,1,5]
[4,3,6,1,5,8,2,7]=>[7,2,8,5,1,6,3,4]
[2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]
[6,5,1,3,4,8,2,7]=>[7,2,8,4,3,1,5,6]
[1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]
[8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]
[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]
[6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]
[2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]
[4,3,5,2,1,8,6,7]=>[7,6,8,1,2,5,3,4]
[2,6,4,8,7,1,3,5]=>[5,3,1,7,8,4,6,2]
[1,6,4,8,7,2,3,5]=>[5,3,2,7,8,4,6,1]
[2,7,8,3,6,1,4,5]=>[5,4,1,6,3,8,7,2]
[4,3,2,8,7,1,5,6]=>[6,5,1,7,8,2,3,4]
[5,2,4,8,7,1,3,6]=>[6,3,1,7,8,4,2,5]
[6,2,8,3,7,1,4,5]=>[5,4,1,7,3,8,2,6]
[5,1,4,8,7,2,3,6]=>[6,3,2,7,8,4,1,5]
[4,8,2,5,1,3,7,6]=>[6,7,3,1,5,2,8,4]
[4,7,2,5,1,3,8,6]=>[6,8,3,1,5,2,7,4]
[3,7,2,1,5,4,8,6]=>[6,8,4,5,1,2,7,3]
[3,8,2,1,5,4,7,6]=>[6,7,4,5,1,2,8,3]
[8,3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3,8]
[8,3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3,8]
[8,4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4,8]
[8,3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3,8]
[8,3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3,8]
[3,8,2,1,4,5,7,6]=>[6,7,5,4,1,2,8,3]
[3,7,2,1,4,5,8,6]=>[6,8,5,4,1,2,7,3]
[3,2,7,1,4,6,8,5]=>[5,8,6,4,1,7,2,3]
[3,2,8,1,4,6,7,5]=>[5,7,6,4,1,8,2,3]
[3,2,8,1,4,7,6,5]=>[5,6,7,4,1,8,2,3]
[3,8,2,1,4,7,5,6]=>[6,5,7,4,1,2,8,3]
[3,8,2,1,5,7,4,6]=>[6,4,7,5,1,2,8,3]
[4,8,2,5,1,7,3,6]=>[6,3,7,1,5,2,8,4]
[3,7,2,1,5,8,4,6]=>[6,4,8,5,1,2,7,3]
[3,7,2,1,4,8,5,6]=>[6,5,8,4,1,2,7,3]
[3,2,1,7,5,8,6,4]=>[4,6,8,5,7,1,2,3]
[3,2,7,1,6,8,4,5]=>[5,4,8,6,1,7,2,3]
[4,2,7,6,1,8,3,5]=>[5,3,8,1,6,7,2,4]
[4,3,7,6,8,1,2,5]=>[5,2,1,8,6,7,3,4]
[4,3,8,6,7,1,2,5]=>[5,2,1,7,6,8,3,4]
[4,2,8,6,1,7,3,5]=>[5,3,7,1,6,8,2,4]
[3,2,8,1,6,7,4,5]=>[5,4,7,6,1,8,2,3]
[3,2,1,8,7,5,6,4]=>[4,6,5,7,8,1,2,3]
[3,2,8,1,7,4,6,5]=>[5,6,4,7,1,8,2,3]
[3,2,8,1,6,4,7,5]=>[5,7,4,6,1,8,2,3]
[3,2,7,1,6,4,8,5]=>[5,8,4,6,1,7,2,3]
[4,2,7,6,1,3,8,5]=>[5,8,3,1,6,7,2,4]
[4,2,8,6,1,3,7,5]=>[5,7,3,1,6,8,2,4]
[4,2,8,7,1,3,6,5]=>[5,6,3,1,7,8,2,4]
[5,7,8,3,4,1,2,6]=>[6,2,1,4,3,8,7,5]
[4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]
[4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]
[4,2,6,7,1,3,8,5]=>[5,8,3,1,7,6,2,4]
[3,2,6,1,8,4,7,5]=>[5,7,4,8,1,6,2,3]
[3,7,2,1,8,4,5,6]=>[6,5,4,8,1,2,7,3]
[3,7,2,1,8,5,4,6]=>[6,4,5,8,1,2,7,3]
[4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]
[4,3,7,8,6,1,2,5]=>[5,2,1,6,8,7,3,4]
[3,2,7,1,8,6,4,5]=>[5,4,6,8,1,7,2,3]
[3,2,1,6,8,5,7,4]=>[4,7,5,8,6,1,2,3]
[3,2,6,1,8,7,4,5]=>[5,4,7,8,1,6,2,3]
[4,2,6,8,1,7,3,5]=>[5,3,7,1,8,6,2,4]
[4,3,6,8,7,1,2,5]=>[5,2,1,7,8,6,3,4]
[4,2,6,7,1,8,3,5]=>[5,3,8,1,7,6,2,4]
[3,2,6,1,7,8,4,5]=>[5,4,8,7,1,6,2,3]
[3,4,6,8,7,5,1,2]=>[2,1,5,7,8,6,4,3]
[5,3,6,4,8,7,1,2]=>[2,1,7,8,4,6,3,5]
[1,4,6,2,7,8,5,3]=>[3,5,8,7,2,6,4,1]
[3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]
[1,2,7,5,4,8,6,3]=>[3,6,8,4,5,7,2,1]
[6,3,7,5,4,8,1,2]=>[2,1,8,4,5,7,3,6]
[7,3,8,5,4,6,1,2]=>[2,1,6,4,5,8,3,7]
[3,8,7,5,4,6,1,2]=>[2,1,6,4,5,7,8,3]
[4,3,6,7,8,5,1,2]=>[2,1,5,8,7,6,3,4]
[4,5,6,3,8,7,1,2]=>[2,1,7,8,3,6,5,4]
[3,6,8,5,4,7,1,2]=>[2,1,7,4,5,8,6,3]
[6,8,3,5,4,7,1,2]=>[2,1,7,4,5,3,8,6]
[7,6,3,5,4,8,1,2]=>[2,1,8,4,5,3,6,7]
[1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]
[7,1,2,5,8,3,6,4]=>[4,6,3,8,5,2,1,7]
[1,8,2,5,7,3,6,4]=>[4,6,3,7,5,2,8,1]
[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]
[4,1,6,2,8,7,5,3]=>[3,5,7,8,2,6,1,4]
[7,8,1,2,4,6,5,3]=>[3,5,6,4,2,1,8,7]
[7,8,3,1,4,2,6,5]=>[5,6,2,4,1,3,8,7]
[4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]
[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]
[4,8,1,5,2,3,7,6]=>[6,7,3,2,5,1,8,4]
[7,5,1,6,4,3,2,8]=>[8,2,3,4,6,1,5,7]
[5,8,1,6,4,3,2,7]=>[7,2,3,4,6,1,8,5]
[6,1,5,7,4,3,2,8]=>[8,2,3,4,7,5,1,6]
[1,5,8,6,4,3,2,7]=>[7,2,3,4,6,8,5,1]
[3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]
[7,8,4,1,5,3,2,6]=>[6,2,3,5,1,4,8,7]
[7,8,5,1,6,3,2,4]=>[4,2,3,6,1,5,8,7]
[2,6,1,5,7,3,8,4]=>[4,8,3,7,5,1,6,2]
[1,6,8,7,4,3,2,5]=>[5,2,3,4,7,8,6,1]
[6,8,1,7,4,3,2,5]=>[5,2,3,4,7,1,8,6]
[5,6,1,7,4,3,2,8]=>[8,2,3,4,7,1,6,5]
[5,1,7,6,4,3,2,8]=>[8,2,3,4,6,7,1,5]
[6,1,7,8,4,3,2,5]=>[5,2,3,4,8,7,1,6]
[7,1,8,6,4,3,2,5]=>[5,2,3,4,6,8,1,7]
[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]
[2,1,7,5,6,3,8,4]=>[4,8,3,6,5,7,1,2]
[3,1,6,7,5,8,2,4]=>[4,2,8,5,7,6,1,3]
[7,8,1,6,5,3,2,4]=>[4,2,3,5,6,1,8,7]
[7,8,2,1,4,5,6,3]=>[3,6,5,4,1,2,8,7]
[2,8,1,5,4,6,7,3]=>[3,7,6,4,5,1,8,2]
[7,2,1,5,4,6,8,3]=>[3,8,6,4,5,1,2,7]
[1,2,8,5,6,3,7,4]=>[4,7,3,6,5,8,2,1]
[6,1,2,5,7,3,8,4]=>[4,8,3,7,5,2,1,6]
[4,2,1,5,6,3,7,8]=>[8,7,3,6,5,1,2,4]
[4,3,6,1,5,7,2,8]=>[8,2,7,5,1,6,3,4]
[5,1,6,3,7,8,2,4]=>[4,2,8,7,3,6,1,5]
[1,3,6,8,5,7,2,4]=>[4,2,7,5,8,6,3,1]
[2,4,6,3,7,1,8,5]=>[5,8,1,7,3,6,4,2]
[1,3,6,4,8,7,2,5]=>[5,2,7,8,4,6,3,1]
[4,1,6,7,3,8,2,5]=>[5,2,8,3,7,6,1,4]
[5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]
[6,4,1,5,2,3,7,8]=>[8,7,3,2,5,1,4,6]
[4,1,7,5,2,3,8,6]=>[6,8,3,2,5,7,1,4]
[1,2,4,5,8,3,7,6]=>[6,7,3,8,5,4,2,1]
[7,2,3,5,4,1,8,6]=>[6,8,1,4,5,3,2,7]
[2,8,3,5,4,1,7,6]=>[6,7,1,4,5,3,8,2]
[4,2,6,3,8,1,7,5]=>[5,7,1,8,3,6,2,4]
[7,8,2,3,4,1,6,5]=>[5,6,1,4,3,2,8,7]
[7,8,1,4,6,3,2,5]=>[5,2,3,6,4,1,8,7]
[3,1,6,4,7,8,2,5]=>[5,2,8,7,4,6,1,3]
[1,8,5,7,4,3,2,6]=>[6,2,3,4,7,5,8,1]
[7,1,5,8,4,3,2,6]=>[6,2,3,4,8,5,1,7]
[5,1,8,7,4,3,2,6]=>[6,2,3,4,7,8,1,5]
[6,5,1,8,4,3,2,7]=>[7,2,3,4,8,1,5,6]
[6,5,7,1,4,3,2,8]=>[8,2,3,4,1,7,5,6]
[7,5,8,1,4,3,2,6]=>[6,2,3,4,1,8,5,7]
[5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]
[1,5,7,8,4,3,2,6]=>[6,2,3,4,8,7,5,1]
[2,4,7,5,1,3,8,6]=>[6,8,3,1,5,7,4,2]
[7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]
[7,8,5,4,1,3,2,6]=>[6,2,3,1,4,5,8,7]
[3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]
[2,6,4,5,1,3,8,7]=>[7,8,3,1,5,4,6,2]
[1,6,5,8,4,3,2,7]=>[7,2,3,4,8,5,6,1]
[6,8,5,1,4,3,2,7]=>[7,2,3,4,1,5,8,6]
[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]
[3,4,6,2,7,1,5,8]=>[8,5,1,7,2,6,4,3]
[3,6,2,5,4,1,7,8]=>[8,7,1,4,5,2,6,3]
[3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]
[4,3,6,2,8,1,5,7]=>[7,5,1,8,2,6,3,4]
[6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]
[6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]
[4,2,8,5,1,3,7,6]=>[6,7,3,1,5,8,2,4]
[4,3,6,8,1,7,2,5]=>[5,2,7,1,8,6,3,4]
[5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]
[6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]
[1,6,7,4,8,3,5,2]=>[2,5,3,8,4,7,6,1]
[1,4,6,3,7,5,8,2]=>[2,8,5,7,3,6,4,1]
[4,6,7,2,5,8,1,3]=>[3,1,8,5,2,7,6,4]
[2,4,6,1,7,5,3,8]=>[8,3,5,7,1,6,4,2]
[2,7,5,4,1,6,3,8]=>[8,3,6,1,4,5,7,2]
[7,5,4,6,2,8,1,3]=>[3,1,8,2,6,4,5,7]
[1,7,5,4,3,8,6,2]=>[2,6,8,3,4,5,7,1]
[1,4,6,3,5,8,7,2]=>[2,7,8,5,3,6,4,1]
[1,5,8,4,3,6,7,2]=>[2,7,6,3,4,8,5,1]
[5,4,6,2,7,8,1,3]=>[3,1,8,7,2,6,4,5]
[2,5,4,1,6,7,3,8]=>[8,3,7,6,1,4,5,2]
[5,6,3,2,7,1,4,8]=>[8,4,1,7,2,3,6,5]
[5,6,3,2,7,1,8,4]=>[4,8,1,7,2,3,6,5]
[8,5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5,8]
[5,4,6,2,8,1,7,3]=>[3,7,1,8,2,6,4,5]
[2,4,1,7,8,5,3,6]=>[6,3,5,8,7,1,4,2]
[2,5,4,1,6,3,8,7]=>[7,8,3,6,1,4,5,2]
[5,6,3,2,1,8,4,7]=>[7,4,8,1,2,3,6,5]
[3,5,2,1,6,4,7,8]=>[8,7,4,6,1,2,5,3]
[6,8,4,3,2,1,5,7]=>[7,5,1,2,3,4,8,6]
[5,3,8,2,1,6,4,7]=>[7,4,6,1,2,8,3,5]
[3,7,5,8,2,1,4,6]=>[6,4,1,2,8,5,7,3]
[7,3,2,8,5,1,6,4]=>[4,6,1,5,8,2,3,7]
[8,4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4,8]
[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]
[7,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,7]
[7,8,4,3,2,1,6,5]=>[5,6,1,2,3,4,8,7]
[5,4,7,2,1,8,6,3]=>[3,6,8,1,2,7,4,5]
[7,5,8,3,2,6,1,4]=>[4,1,6,2,3,8,5,7]
[5,7,3,2,1,6,8,4]=>[4,8,6,1,2,3,7,5]
[5,7,3,2,1,6,4,8]=>[8,4,6,1,2,3,7,5]
[6,3,7,2,5,1,8,4]=>[4,8,1,5,2,7,3,6]
[6,7,8,3,5,2,1,4]=>[4,1,2,5,3,8,7,6]
[6,2,5,7,8,4,1,3]=>[3,1,4,8,7,5,2,6]
[2,1,5,7,8,6,3,4]=>[4,3,6,8,7,5,1,2]
[3,6,7,2,8,1,4,5]=>[5,4,1,8,2,7,6,3]
[6,3,7,2,8,1,4,5]=>[5,4,1,8,2,7,3,6]
[3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]
[3,5,2,1,4,7,6,8]=>[8,6,7,4,1,2,5,3]
[7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]
[2,5,4,1,3,7,8,6]=>[6,8,7,3,1,4,5,2]
[2,5,8,4,1,3,7,6]=>[6,7,3,1,4,8,5,2]
[2,4,1,7,8,3,6,5]=>[5,6,3,8,7,1,4,2]
[3,7,2,8,6,1,4,5]=>[5,4,1,6,8,2,7,3]
[3,6,8,2,1,7,4,5]=>[5,4,7,1,2,8,6,3]
[5,3,8,2,1,4,7,6]=>[6,7,4,1,2,8,3,5]
[4,8,7,3,2,1,5,6]=>[6,5,1,2,3,7,8,4]
[4,7,3,2,1,5,6,8]=>[8,6,5,1,2,3,7,4]
[8,4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4,8]
[8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]
[7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]
[3,5,2,1,4,6,8,7]=>[7,8,6,4,1,2,5,3]
[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]
[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]
[5,4,1,6,3,2,8,7]=>[7,8,2,3,6,1,4,5]
[5,4,1,6,2,3,8,7]=>[7,8,3,2,6,1,4,5]
[5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]
[5,7,1,6,2,8,4,3]=>[3,4,8,2,6,1,7,5]
[2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]
[2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]
[2,3,6,5,1,4,8,7]=>[7,8,4,1,5,6,3,2]
[2,3,6,4,1,5,8,7]=>[7,8,5,1,4,6,3,2]
[2,3,6,1,5,4,8,7]=>[7,8,4,5,1,6,3,2]
[2,7,6,1,4,8,5,3]=>[3,5,8,4,1,6,7,2]
[2,7,6,1,4,8,3,5]=>[5,3,8,4,1,6,7,2]
[7,3,5,1,8,4,2,6]=>[6,2,4,8,1,5,3,7]
[7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]
[2,7,6,1,5,8,4,3]=>[3,4,8,5,1,6,7,2]
[2,7,6,4,1,8,5,3]=>[3,5,8,1,4,6,7,2]
[2,1,7,6,3,8,5,4]=>[4,5,8,3,6,7,1,2]
[2,1,7,6,3,8,4,5]=>[5,4,8,3,6,7,1,2]
[5,7,3,6,2,8,4,1]=>[1,4,8,2,6,3,7,5]
[2,7,6,4,1,8,3,5]=>[5,3,8,1,4,6,7,2]
[7,3,5,1,8,6,2,4]=>[4,2,6,8,1,5,3,7]
[6,3,5,1,8,2,4,7]=>[7,4,2,8,1,5,3,6]
[2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]
[2,3,4,8,5,7,1,6]=>[6,1,7,5,8,4,3,2]
[7,3,5,4,8,1,2,6]=>[6,2,1,8,4,5,3,7]
[6,4,3,5,8,7,2,1]=>[1,2,7,8,5,3,4,6]
[2,1,4,5,8,7,3,6]=>[6,3,7,8,5,4,1,2]
[6,4,3,5,8,7,1,2]=>[2,1,7,8,5,3,4,6]
[7,3,5,4,8,1,6,2]=>[2,6,1,8,4,5,3,7]
[2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]
[2,3,4,8,7,5,1,6]=>[6,1,5,7,8,4,3,2]
[2,7,6,5,4,8,1,3]=>[3,1,8,4,5,6,7,2]
[7,3,5,6,8,4,1,2]=>[2,1,4,8,6,5,3,7]
[7,3,5,6,8,1,4,2]=>[2,4,1,8,6,5,3,7]
[7,3,5,6,8,1,2,4]=>[4,2,1,8,6,5,3,7]
[6,4,1,5,8,7,2,3]=>[3,2,7,8,5,1,4,6]
[6,4,1,5,8,7,3,2]=>[2,3,7,8,5,1,4,6]
[6,4,1,5,8,3,7,2]=>[2,7,3,8,5,1,4,6]
[5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]
[6,4,1,5,8,3,2,7]=>[7,2,3,8,5,1,4,6]
[7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]
[7,4,1,5,8,2,6,3]=>[3,6,2,8,5,1,4,7]
[6,3,5,7,8,2,1,4]=>[4,1,2,8,7,5,3,6]
[6,3,5,7,8,2,4,1]=>[1,4,2,8,7,5,3,6]
[2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]
[5,7,3,6,1,8,4,2]=>[2,4,8,1,6,3,7,5]
[2,1,4,5,8,6,3,7]=>[7,3,6,8,5,4,1,2]
[7,3,5,4,8,6,2,1]=>[1,2,6,8,4,5,3,7]
[2,3,4,8,5,6,1,7]=>[7,1,6,5,8,4,3,2]
[2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]
[2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]
[2,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,2]
[2,3,4,8,5,1,7,6]=>[6,7,1,5,8,4,3,2]
[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]
[7,4,3,5,8,2,1,6]=>[6,1,2,8,5,3,4,7]
[2,1,4,5,8,3,7,6]=>[6,7,3,8,5,4,1,2]
[7,4,3,5,8,2,6,1]=>[1,6,2,8,5,3,4,7]
[6,3,5,4,8,2,1,7]=>[7,1,2,8,4,5,3,6]
[2,3,4,8,5,1,6,7]=>[7,6,1,5,8,4,3,2]
[2,3,4,8,1,6,5,7]=>[7,5,6,1,8,4,3,2]
[2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]
[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]
[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]
[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]
[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]
[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]
[2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]
[2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]
[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]
[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]
[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]
[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]
[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]
[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]
[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]
[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]
[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]
[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]
[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]
[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]
[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]
[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]
[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]
[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]
[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]
[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]
[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]
[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]
[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]
[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]
[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]
[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]
[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]
[7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]
[7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]
[7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]
[7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]
[6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]
[1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]
[1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]
[7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]
[7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]
[7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]
[7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]
[7,2,8,4,1,5,3,6]=>[6,3,5,1,4,8,2,7]
[7,2,8,3,5,1,6,4]=>[4,6,1,5,3,8,2,7]
[7,2,8,3,4,6,1,5]=>[5,1,6,4,3,8,2,7]
[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]
[6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]
[6,2,4,8,5,3,1,7]=>[7,1,3,5,8,4,2,6]
[6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]
[2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]
[2,6,3,7,8,4,5,1]=>[1,5,4,8,7,3,6,2]
[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]
[2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]
[2,5,3,7,8,1,6,4]=>[4,6,1,8,7,3,5,2]
[3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]
[5,3,1,4,8,2,6,7]=>[7,6,2,8,4,1,3,5]
[5,2,4,8,6,1,3,7]=>[7,3,1,6,8,4,2,5]
[5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]
[4,8,2,3,6,1,7,5]=>[5,7,1,6,3,2,8,4]
[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]
[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]
[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]
[5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]
[5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]
[6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]
[6,3,8,2,5,1,7,4]=>[4,7,1,5,2,8,3,6]
[6,3,8,1,4,7,2,5]=>[5,2,7,4,1,8,3,6]
[5,8,1,3,6,2,7,4]=>[4,7,2,6,3,1,8,5]
[1,5,7,4,2,6,8,3]=>[3,8,6,2,4,7,5,1]
[5,8,1,4,2,6,3,7]=>[7,3,6,2,4,1,8,5]
[5,8,4,1,2,7,6,3]=>[3,6,7,2,1,4,8,5]
[6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]
[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]
[5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]
[5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]
[4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]
[4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]
[3,5,6,1,2,8,7,4]=>[4,7,8,2,1,6,5,3]
[3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]
[3,6,2,7,5,1,8,4]=>[4,8,1,5,7,2,6,3]
[4,2,5,7,1,8,6,3]=>[3,6,8,1,7,5,2,4]
[3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]
[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]
[3,4,6,2,8,1,5,7]=>[7,5,1,8,2,6,4,3]
[3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]
[4,2,5,6,1,3,8,7]=>[7,8,3,1,6,5,2,4]
[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]
[5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]
[3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]
[8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]
[4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]
[5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]
[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]
[4,1,6,5,8,3,2,7]=>[7,2,3,8,5,6,1,4]
[5,1,6,8,4,3,2,7]=>[7,2,3,4,8,6,1,5]
[8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8]
[5,7,1,8,4,3,2,6]=>[6,2,3,4,8,1,7,5]
[2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]
[8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]
[8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]
[8,5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5,8]
[8,4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4,8]
[8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]
[2,7,6,1,4,3,8,5]=>[5,8,3,4,1,6,7,2]
[6,7,8,5,1,3,2,4]=>[4,2,3,1,5,8,7,6]
[5,7,6,8,2,3,4,1]=>[1,4,3,2,8,6,7,5]
[5,7,2,8,4,3,6,1]=>[1,6,3,4,8,2,7,5]
[6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]
[4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]
[8,3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3,8]
[3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]
[5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]
[4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]
[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]
[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]
[8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]
[8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]
[8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]
[8,2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2,8]
[8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]
[5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]
[4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]
[3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]
[3,6,4,8,7,5,1,2]=>[2,1,5,7,8,4,6,3]
[5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]
[1,6,2,4,7,8,5,3]=>[3,5,8,7,4,2,6,1]
[3,6,2,4,8,1,5,7]=>[7,5,1,8,4,2,6,3]
[3,4,7,2,8,1,6,5]=>[5,6,1,8,2,7,4,3]
[1,4,7,2,5,8,6,3]=>[3,6,8,5,2,7,4,1]
[7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]
[3,5,6,4,8,7,1,2]=>[2,1,7,8,4,6,5,3]
[4,6,8,5,3,7,1,2]=>[2,1,7,3,5,8,6,4]
[6,8,5,3,4,7,1,2]=>[2,1,7,4,3,5,8,6]
[1,6,5,4,2,8,7,3]=>[3,7,8,2,4,5,6,1]
[1,8,5,2,7,3,6,4]=>[4,6,3,7,2,5,8,1]
[4,2,7,5,1,8,6,3]=>[3,6,8,1,5,7,2,4]
[7,8,1,4,2,6,5,3]=>[3,5,6,2,4,1,8,7]
[1,3,6,4,8,2,5,7]=>[7,5,2,8,4,6,3,1]
[4,1,7,5,3,2,6,8]=>[8,6,2,3,5,7,1,4]
[6,5,1,3,4,2,8,7]=>[7,8,2,4,3,1,5,6]
[4,8,5,3,1,7,2,6]=>[6,2,7,1,3,5,8,4]
[7,4,5,3,2,8,1,6]=>[6,1,8,2,3,5,4,7]
[5,8,3,6,1,4,2,7]=>[7,2,4,1,6,3,8,5]
[2,5,8,6,4,1,3,7]=>[7,3,1,4,6,8,5,2]
[1,4,6,2,5,8,3,7]=>[7,3,8,5,2,6,4,1]
[3,6,2,5,8,1,7,4]=>[4,7,1,8,5,2,6,3]
[1,6,8,7,4,2,3,5]=>[5,3,2,4,7,8,6,1]
[6,1,7,8,2,4,3,5]=>[5,3,4,2,8,7,1,6]
[7,1,8,6,3,4,2,5]=>[5,2,4,3,6,8,1,7]
[7,2,1,4,5,6,8,3]=>[3,8,6,5,4,1,2,7]
[1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]
[6,1,3,2,7,5,8,4]=>[4,8,5,7,2,3,1,6]
[1,6,3,8,5,7,2,4]=>[4,2,7,5,8,3,6,1]
[2,6,4,1,7,5,8,3]=>[3,8,5,7,1,4,6,2]
[7,6,5,8,1,4,2,3]=>[3,2,4,1,8,5,6,7]
[5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]
[1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]
[2,6,3,4,8,7,1,5]=>[5,1,7,8,4,3,6,2]
[7,1,3,4,5,2,8,6]=>[6,8,2,5,4,3,1,7]
[1,8,3,5,4,2,7,6]=>[6,7,2,4,5,3,8,1]
[4,1,6,3,8,2,7,5]=>[5,7,2,8,3,6,1,4]
[7,8,2,4,6,3,1,5]=>[5,1,3,6,4,2,8,7]
[3,2,6,4,7,8,1,5]=>[5,1,8,7,4,6,2,3]
[2,8,5,7,4,3,1,6]=>[6,1,3,4,7,5,8,2]
[7,2,5,8,3,4,1,6]=>[6,1,4,3,8,5,2,7]
[5,3,8,7,1,2,6,4]=>[4,6,2,1,7,8,3,5]
[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]
[7,5,8,4,1,2,3,6]=>[6,3,2,1,4,8,5,7]
[5,8,7,4,1,3,2,6]=>[6,2,3,1,4,7,8,5]
[3,5,7,8,4,1,2,6]=>[6,2,1,4,8,7,5,3]
[1,4,7,5,3,8,2,6]=>[6,2,8,3,5,7,4,1]
[2,4,6,7,3,1,8,5]=>[5,8,1,3,7,6,4,2]
[7,8,4,6,3,1,2,5]=>[5,2,1,3,6,4,8,7]
[2,6,4,5,3,8,1,7]=>[7,1,8,3,5,4,6,2]
[3,6,5,8,4,2,1,7]=>[7,1,2,4,8,5,6,3]
[5,6,8,4,2,3,1,7]=>[7,1,3,2,4,8,6,5]
[6,8,5,4,3,1,2,7]=>[7,2,1,3,4,5,8,6]
[6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]
[4,8,6,5,3,2,7,1]=>[1,7,2,3,5,6,8,4]
[8,6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6,8]
[6,7,5,8,2,1,4,3]=>[3,4,1,2,8,5,7,6]
[1,7,5,8,2,6,4,3]=>[3,4,6,2,8,5,7,1]
[1,3,8,5,7,6,2,4]=>[4,2,6,7,5,8,3,1]
[6,3,8,5,7,1,2,4]=>[4,2,1,7,5,8,3,6]
[8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]
[6,8,5,2,1,4,7,3]=>[3,7,4,1,2,5,8,6]
[3,8,2,5,6,1,7,4]=>[4,7,1,6,5,2,8,3]
[2,8,1,5,6,3,7,4]=>[4,7,3,6,5,1,8,2]
[8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]
[1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]
[5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]
[2,5,8,6,1,7,3,4]=>[4,3,7,1,6,8,5,2]
[8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]
[3,8,6,5,7,1,2,4]=>[4,2,1,7,5,6,8,3]
[7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]
[5,1,7,6,8,4,2,3]=>[3,2,4,8,6,7,1,5]
[5,1,3,7,8,6,2,4]=>[4,2,6,8,7,3,1,5]
[7,2,5,8,1,6,4,3]=>[3,4,6,1,8,5,2,7]
[3,2,8,5,7,6,1,4]=>[4,1,6,7,5,8,2,3]
[8,2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2,8]
[5,2,8,6,1,7,3,4]=>[4,3,7,1,6,8,2,5]
[1,2,8,6,5,7,3,4]=>[4,3,7,5,6,8,2,1]
[4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]
[8,2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2,8]
[7,2,6,5,4,1,8,3]=>[3,8,1,4,5,6,2,7]
[6,1,3,5,4,7,8,2]=>[2,8,7,4,5,3,1,6]
[6,1,5,3,4,7,8,2]=>[2,8,7,4,3,5,1,6]
[7,5,6,2,4,1,8,3]=>[3,8,1,4,2,6,5,7]
[8,5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5,8]
[4,3,1,2,6,7,8,5]=>[5,8,7,6,2,1,3,4]
[8,1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1,8]
[3,5,8,6,2,7,1,4]=>[4,1,7,2,6,8,5,3]
[5,8,1,6,3,7,2,4]=>[4,2,7,3,6,1,8,5]
[1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]
[1,7,6,5,4,2,8,3]=>[3,8,2,4,5,6,7,1]
[5,7,6,1,4,2,8,3]=>[3,8,2,4,1,6,7,5]
[7,1,4,2,6,5,8,3]=>[3,8,5,6,2,4,1,7]
[4,1,7,3,5,6,8,2]=>[2,8,6,5,3,7,1,4]
[2,7,4,1,5,6,8,3]=>[3,8,6,5,1,4,7,2]
[5,7,6,4,1,2,8,3]=>[3,8,2,1,4,6,7,5]
[4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]
[1,7,6,4,5,2,8,3]=>[3,8,2,5,4,6,7,1]
[1,8,3,6,5,7,2,4]=>[4,2,7,5,6,3,8,1]
[3,8,1,6,5,7,2,4]=>[4,2,7,5,6,1,8,3]
[8,1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1,8]
[7,8,5,4,1,6,2,3]=>[3,2,6,1,4,5,8,7]
[6,1,5,4,3,7,8,2]=>[2,8,7,3,4,5,1,6]
[7,5,6,4,2,1,8,3]=>[3,8,1,2,4,6,5,7]
[8,3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3,8]
[7,4,6,2,5,1,8,3]=>[3,8,1,5,2,6,4,7]
[6,1,4,3,5,7,8,2]=>[2,8,7,5,3,4,1,6]
[6,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,6]
[7,2,6,4,5,1,8,3]=>[3,8,1,5,4,6,2,7]
[8,2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2,8]
[5,4,7,3,6,8,1,2]=>[2,1,8,6,3,7,4,5]
[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]
[3,4,7,2,5,1,6,8]=>[8,6,1,5,2,7,4,3]
[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]
[3,6,2,4,7,1,5,8]=>[8,5,1,7,4,2,6,3]
[6,8,3,4,5,7,1,2]=>[2,1,7,5,4,3,8,6]
[4,3,6,7,5,8,1,2]=>[2,1,8,5,7,6,3,4]
[6,3,7,5,8,4,1,2]=>[2,1,4,8,5,7,3,6]
[7,3,8,6,4,5,1,2]=>[2,1,5,4,6,8,3,7]
[3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]
[1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]
[4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]
[2,3,8,6,4,1,5,7]=>[7,5,1,4,6,8,3,2]
[4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]
[7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]
[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]
[4,1,6,2,5,7,3,8]=>[8,3,7,5,2,6,1,4]
[6,1,2,5,8,7,3,4]=>[4,3,7,8,5,2,1,6]
[2,1,8,6,4,7,3,5]=>[5,3,7,4,6,8,1,2]
[7,1,3,6,8,4,2,5]=>[5,2,4,8,6,3,1,7]
[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]
[7,1,5,8,3,6,2,4]=>[4,2,6,3,8,5,1,7]
[5,1,8,7,2,3,6,4]=>[4,6,3,2,7,8,1,5]
[6,1,5,7,4,2,8,3]=>[3,8,2,4,7,5,1,6]
[3,1,6,4,7,2,5,8]=>[8,5,2,7,4,6,1,3]
[2,4,7,5,1,8,3,6]=>[6,3,8,1,5,7,4,2]
[6,5,7,1,4,2,3,8]=>[8,3,2,4,1,7,5,6]
[5,6,8,1,3,2,4,7]=>[7,4,2,3,1,8,6,5]
[6,8,5,1,3,4,2,7]=>[7,2,4,3,1,5,8,6]
[2,8,3,4,5,1,7,6]=>[6,7,1,5,4,3,8,2]
[6,2,4,3,1,5,7,8]=>[8,7,5,1,3,4,2,6]
[4,2,8,3,1,7,5,6]=>[6,5,7,1,3,8,2,4]
[1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]
[5,3,7,4,1,6,2,8]=>[8,2,6,1,4,7,3,5]
[2,4,7,3,6,1,8,5]=>[5,8,1,6,3,7,4,2]
[5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]
[7,5,6,8,1,4,3,2]=>[2,3,4,1,8,6,5,7]
[2,4,7,1,6,5,3,8]=>[8,3,5,6,1,7,4,2]
[1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]
[6,3,1,2,8,4,5,7]=>[7,5,4,8,2,1,3,6]
[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]
[2,8,1,4,5,6,3,7]=>[7,3,6,5,4,1,8,2]
[7,2,1,5,4,6,3,8]=>[8,3,6,4,5,1,2,7]
[4,2,6,1,8,5,3,7]=>[7,3,5,8,1,6,2,4]
[7,8,2,1,4,5,3,6]=>[6,3,5,4,1,2,8,7]
[7,8,4,1,5,3,6,2]=>[2,6,3,5,1,4,8,7]
[3,4,6,1,5,8,7,2]=>[2,7,8,5,1,6,4,3]
[7,5,1,6,4,3,8,2]=>[2,8,3,4,6,1,5,7]
[5,8,1,6,3,4,7,2]=>[2,7,4,3,6,1,8,5]
[6,5,1,8,2,7,4,3]=>[3,4,7,2,8,1,5,6]
[6,8,1,7,5,2,3,4]=>[4,3,2,5,7,1,8,6]
[7,6,1,8,5,3,2,4]=>[4,2,3,5,8,1,6,7]
[5,6,1,7,4,8,2,3]=>[3,2,8,4,7,1,6,5]
[3,6,1,5,7,4,2,8]=>[8,2,4,7,5,1,6,3]
[2,5,6,1,7,4,8,3]=>[3,8,4,7,1,6,5,2]
[3,1,7,5,6,4,8,2]=>[2,8,4,6,5,7,1,3]
[5,1,7,6,4,8,3,2]=>[2,3,8,4,6,7,1,5]
[6,1,7,8,5,3,4,2]=>[2,4,3,5,8,7,1,6]
[7,1,8,6,5,4,2,3]=>[3,2,4,5,6,8,1,7]
[2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]
[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]
[8,5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5,8]
[1,3,7,4,6,8,2,5]=>[5,2,8,6,4,7,3,1]
[4,7,5,6,3,2,8,1]=>[1,8,2,3,6,5,7,4]
[1,7,6,5,4,8,2,3]=>[3,2,8,4,5,6,7,1]
[8,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,8]
[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]
[6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]
[2,1,7,5,6,8,3,4]=>[4,3,8,6,5,7,1,2]
[5,4,1,7,6,8,2,3]=>[3,2,8,6,7,1,4,5]
[4,8,5,6,2,7,3,1]=>[1,3,7,2,6,5,8,4]
[3,8,6,4,2,7,5,1]=>[1,5,7,2,4,6,8,3]
[7,8,5,2,4,6,3,1]=>[1,3,6,4,2,5,8,7]
[2,8,6,3,7,4,5,1]=>[1,5,4,7,3,6,8,2]
[7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]
[6,8,1,4,7,2,5,3]=>[3,5,2,7,4,1,8,6]
[3,8,4,1,7,2,6,5]=>[5,6,2,7,1,4,8,3]
[5,4,7,1,8,3,2,6]=>[6,2,3,8,1,7,4,5]
[3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]
[6,7,1,4,8,3,2,5]=>[5,2,3,8,4,1,7,6]
[2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]
[6,1,2,8,4,3,5,7]=>[7,5,3,4,8,2,1,6]
[6,5,1,4,3,8,2,7]=>[7,2,8,3,4,1,5,6]
[1,6,2,5,8,3,4,7]=>[7,4,3,8,5,2,6,1]
[8,5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5,8]
[8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]
[7,4,2,1,8,5,3,6]=>[6,3,5,8,1,2,4,7]
[1,5,4,2,8,3,6,7]=>[7,6,3,8,2,4,5,1]
[6,4,3,1,5,8,2,7]=>[7,2,8,5,1,3,4,6]
[3,7,6,8,4,5,2,1]=>[1,2,5,4,8,6,7,3]
[2,7,6,8,5,3,4,1]=>[1,4,3,5,8,6,7,2]
[1,7,6,8,5,4,2,3]=>[3,2,4,5,8,6,7,1]
[1,4,8,6,7,5,2,3]=>[3,2,5,7,6,8,4,1]
[2,4,8,6,7,3,5,1]=>[1,5,3,7,6,8,4,2]
[7,3,8,5,4,6,2,1]=>[1,2,6,4,5,8,3,7]
[3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3]
[6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]
[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]
[5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]
[6,2,5,8,7,3,4,1]=>[1,4,3,7,8,5,2,6]
[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]
[1,3,8,7,5,6,2,4]=>[4,2,6,5,7,8,3,1]
[2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]
[3,1,8,5,7,6,2,4]=>[4,2,6,7,5,8,1,3]
[6,1,5,8,7,4,2,3]=>[3,2,4,7,8,5,1,6]
[5,4,1,8,7,6,2,3]=>[3,2,6,7,8,1,4,5]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]
[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]
[4,2,1,6,3,5,8,7]=>[7,8,5,3,6,1,2,4]
[6,2,1,4,3,5,8,7]=>[7,8,5,3,4,1,2,6]
[6,2,1,4,3,8,5,7]=>[7,5,8,3,4,1,2,6]
[8,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,8]
[8,2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2,8]
[6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]
[6,2,4,1,3,5,8,7]=>[7,8,5,3,1,4,2,6]
[4,2,6,1,3,5,8,7]=>[7,8,5,3,1,6,2,4]
[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]
[2,6,1,4,3,5,8,7]=>[7,8,5,3,4,1,6,2]
[2,6,4,1,3,5,8,7]=>[7,8,5,3,1,4,6,2]
[4,6,2,1,3,5,8,7]=>[7,8,5,3,1,2,6,4]
[6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]
[8,4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4,8]
[8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]
[6,4,2,1,8,3,5,7]=>[7,5,3,8,1,2,4,6]
[4,6,2,1,8,3,5,7]=>[7,5,3,8,1,2,6,4]
[2,6,1,4,3,8,5,7]=>[7,5,8,3,4,1,6,2]
[2,1,6,4,3,8,5,7]=>[7,5,8,3,4,6,1,2]
[2,1,8,4,3,6,5,7]=>[7,5,6,3,4,8,1,2]
[2,8,1,4,3,6,5,7]=>[7,5,6,3,4,1,8,2]
[2,8,4,1,3,6,5,7]=>[7,5,6,3,1,4,8,2]
[4,8,2,1,3,6,5,7]=>[7,5,6,3,1,2,8,4]
[4,8,2,1,6,3,5,7]=>[7,5,3,6,1,2,8,4]
[6,8,2,1,4,3,5,7]=>[7,5,3,4,1,2,8,6]
[8,6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6,8]
[2,8,1,4,6,3,5,7]=>[7,5,3,6,4,1,8,2]
[2,1,8,4,6,3,5,7]=>[7,5,3,6,4,8,1,2]
[2,1,6,4,8,3,5,7]=>[7,5,3,8,4,6,1,2]
[2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]
[2,6,4,1,8,3,5,7]=>[7,5,3,8,1,4,6,2]
[2,6,4,8,1,3,5,7]=>[7,5,3,1,8,4,6,2]
[4,6,2,8,1,3,5,7]=>[7,5,3,1,8,2,6,4]
[4,2,6,1,3,8,5,7]=>[7,5,8,3,1,6,2,4]
[4,2,6,1,8,3,5,7]=>[7,5,3,8,1,6,2,4]
[6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]
[8,2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2,8]
[8,2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2,8]
[6,2,1,4,8,3,5,7]=>[7,5,3,8,4,1,2,6]
[4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]
[4,2,1,6,3,8,5,7]=>[7,5,8,3,6,1,2,4]
[4,2,1,3,6,8,5,7]=>[7,5,8,6,3,1,2,4]
[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]
[2,4,1,3,8,6,5,7]=>[7,5,6,8,3,1,4,2]
[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]
[4,2,1,8,3,6,5,7]=>[7,5,6,3,8,1,2,4]
[4,2,1,8,6,3,5,7]=>[7,5,3,6,8,1,2,4]
[6,2,1,8,4,3,5,7]=>[7,5,3,4,8,1,2,6]
[8,2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2,8]
[8,2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2,8]
[6,2,8,1,4,3,5,7]=>[7,5,3,4,1,8,2,6]
[4,2,8,1,6,3,5,7]=>[7,5,3,6,1,8,2,4]
[4,2,8,1,3,6,5,7]=>[7,5,6,3,1,8,2,4]
[2,4,8,1,3,6,5,7]=>[7,5,6,3,1,8,4,2]
[2,4,1,8,3,6,5,7]=>[7,5,6,3,8,1,4,2]
[2,1,4,8,3,6,5,7]=>[7,5,6,3,8,4,1,2]
[2,1,4,8,6,3,5,7]=>[7,5,3,6,8,4,1,2]
[2,4,8,1,6,3,5,7]=>[7,5,3,6,1,8,4,2]
[2,4,8,6,1,3,5,7]=>[7,5,3,1,6,8,4,2]
[4,2,8,6,1,3,5,7]=>[7,5,3,1,6,8,2,4]
[6,2,8,4,1,3,5,7]=>[7,5,3,1,4,8,2,6]
[8,2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2,8]
[8,4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4,8]
[6,4,8,2,1,3,5,7]=>[7,5,3,1,2,8,4,6]
[4,6,8,2,1,3,5,7]=>[7,5,3,1,2,8,6,4]
[2,6,8,4,1,3,5,7]=>[7,5,3,1,4,8,6,2]
[2,6,8,1,4,3,5,7]=>[7,5,3,4,1,8,6,2]
[2,6,1,8,4,3,5,7]=>[7,5,3,4,8,1,6,2]
[2,1,6,8,4,3,5,7]=>[7,5,3,4,8,6,1,2]
[2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]
[2,8,1,6,4,3,5,7]=>[7,5,3,4,6,1,8,2]
[2,8,6,4,1,3,5,7]=>[7,5,3,1,4,6,8,2]
[4,8,6,2,1,3,5,7]=>[7,5,3,1,2,6,8,4]
[6,8,4,2,1,3,5,7]=>[7,5,3,1,2,4,8,6]
[3,2,6,1,5,4,8,7]=>[7,8,4,5,1,6,2,3]
[5,2,4,3,8,1,7,6]=>[6,7,1,8,3,4,2,5]
[6,2,4,1,5,3,8,7]=>[7,8,3,5,1,4,2,6]
[4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]
[4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]
[4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]
[4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4]
[4,3,8,1,7,2,6,5]=>[5,6,2,7,1,8,3,4]
[4,3,8,1,5,2,7,6]=>[6,7,2,5,1,8,3,4]
[5,1,8,3,4,2,7,6]=>[6,7,2,4,3,8,1,5]
[5,4,8,1,3,2,7,6]=>[6,7,2,3,1,8,4,5]
[2,1,5,4,8,3,7,6]=>[6,7,3,8,4,5,1,2]
[5,1,7,6,8,3,4,2]=>[2,4,3,8,6,7,1,5]
[4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]
[4,3,7,1,8,5,6,2]=>[2,6,5,8,1,7,3,4]
[4,3,6,5,8,1,7,2]=>[2,7,1,8,5,6,3,4]
[6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6]
[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]
[7,1,6,3,8,4,5,2]=>[2,5,4,8,3,6,1,7]
[7,4,6,5,8,1,3,2]=>[2,3,1,8,5,6,4,7]
[2,1,8,4,6,3,7,5]=>[5,7,3,6,4,8,1,2]
[8,4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4,8]
[8,1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1,8]
[8,1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1,8]
[8,3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3,8]
[8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]
[7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]
[8,2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2,8]
[8,2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2,8]
[8,2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2,8]
[8,2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2,8]
[8,2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2,8]
[3,2,8,4,6,1,7,5]=>[5,7,1,6,4,8,2,3]
[3,2,8,1,5,4,7,6]=>[6,7,4,5,1,8,2,3]
[3,2,7,6,8,1,5,4]=>[4,5,1,8,6,7,2,3]
[3,2,7,1,8,5,6,4]=>[4,6,5,8,1,7,2,3]
[3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]
[6,5,7,2,4,3,8,1]=>[1,8,3,4,2,7,5,6]
[6,5,8,2,4,1,7,3]=>[3,7,1,4,2,8,5,6]
[7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]
[7,6,8,2,4,1,5,3]=>[3,5,1,4,2,8,6,7]
[7,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,7]
[2,1,7,3,8,5,6,4]=>[4,6,5,8,3,7,1,2]
[7,1,3,2,8,5,6,4]=>[4,6,5,8,2,3,1,7]
[7,1,8,5,6,2,4,3]=>[3,4,2,6,5,8,1,7]
[7,1,8,2,6,4,5,3]=>[3,5,4,6,2,8,1,7]
[7,2,8,1,5,4,6,3]=>[3,6,4,5,1,8,2,7]
[6,2,7,4,5,3,8,1]=>[1,8,3,5,4,7,2,6]
[5,4,7,2,6,3,8,1]=>[1,8,3,6,2,7,4,5]
[5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]
[6,5,8,1,7,2,4,3]=>[3,4,2,7,1,8,5,6]
[2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]
[6,5,7,4,8,1,3,2]=>[2,3,1,8,4,7,5,6]
[6,5,7,1,8,3,4,2]=>[2,4,3,8,1,7,5,6]
[6,1,7,4,8,3,5,2]=>[2,5,3,8,4,7,1,6]
[5,4,7,1,8,3,6,2]=>[2,6,3,8,1,7,4,5]
[5,4,6,3,8,1,7,2]=>[2,7,1,8,3,6,4,5]
[2,8,3,1,5,4,6,7]=>[7,6,4,5,1,3,8,2]
[2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]
[2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2]
[4,2,5,3,1,8,6,7]=>[7,6,8,1,3,5,2,4]
[4,2,1,8,5,3,6,7]=>[7,6,3,5,8,1,2,4]
[5,4,1,3,8,2,6,7]=>[7,6,2,8,3,1,4,5]
[5,1,4,8,3,2,6,7]=>[7,6,2,3,8,4,1,5]
[1,5,8,4,3,2,6,7]=>[7,6,2,3,4,8,5,1]
[1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]
[1,7,4,3,8,5,2,6]=>[6,2,5,8,3,4,7,1]
[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]
[5,1,4,7,8,3,2,6]=>[6,2,3,8,7,4,1,5]
[4,8,1,5,7,3,6,2]=>[2,6,3,7,5,1,8,4]
[8,1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1,8]
[3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3]
[1,6,8,5,3,7,4,2]=>[2,4,7,3,5,8,6,1]
[6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]
[6,4,8,1,7,3,5,2]=>[2,5,3,7,1,8,4,6]
[6,4,8,7,1,5,2,3]=>[3,2,5,1,7,8,4,6]
[7,6,4,1,3,8,2,5]=>[5,2,8,3,1,4,6,7]
[1,7,5,6,3,2,8,4]=>[4,8,2,3,6,5,7,1]
[4,2,1,7,8,5,3,6]=>[6,3,5,8,7,1,2,4]
[2,7,4,6,3,1,8,5]=>[5,8,1,3,6,4,7,2]
[2,6,8,4,3,7,5,1]=>[1,5,7,3,4,8,6,2]
[6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]
[7,2,6,3,4,1,8,5]=>[5,8,1,4,3,6,2,7]
[2,6,7,3,1,4,8,5]=>[5,8,4,1,3,7,6,2]
[2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]
[2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]
[8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8]
[8,2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2,8]
[7,8,2,6,3,1,5,4]=>[4,5,1,3,6,2,8,7]
[8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8]
[1,2,8,7,4,5,6,3]=>[3,6,5,4,7,8,2,1]
[8,3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3,8]
[8,6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6,8]
[8,1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1,8]
[1,8,5,2,6,7,4,3]=>[3,4,7,6,2,5,8,1]
[5,2,1,8,6,7,4,3]=>[3,4,7,6,8,1,2,5]
[2,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,2]
[1,7,8,5,2,6,4,3]=>[3,4,6,2,5,8,7,1]
[7,8,1,6,4,2,5,3]=>[3,5,2,4,6,1,8,7]
[7,8,6,1,5,3,2,4]=>[4,2,3,5,1,6,8,7]
[7,3,8,6,1,5,2,4]=>[4,2,5,1,6,8,3,7]
[8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]
[8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8]
[8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8]
[1,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,1]
[6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]
[6,3,5,7,2,8,4,1]=>[1,4,8,2,7,5,3,6]
[8,5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5,8]
[4,5,3,6,1,2,8,7]=>[7,8,2,1,6,3,5,4]
[3,5,1,4,6,2,8,7]=>[7,8,2,6,4,1,5,3]
[8,3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3,8]
[5,7,4,6,3,8,2,1]=>[1,2,8,3,6,4,7,5]
[2,8,4,6,3,7,1,5]=>[5,1,7,3,6,4,8,2]
[8,1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1,8]
[8,3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3,8]
[8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]
[8,5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5,8]
[2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]
[6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]
[6,5,1,4,7,8,3,2]=>[2,3,8,7,4,1,5,6]
[6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]
[5,1,4,6,8,3,7,2]=>[2,7,3,8,6,4,1,5]
[4,7,1,3,5,8,6,2]=>[2,6,8,5,3,1,7,4]
[4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]
[3,8,6,4,1,7,2,5]=>[5,2,7,1,4,6,8,3]
[3,8,1,2,5,7,6,4]=>[4,6,7,5,2,1,8,3]
[2,8,7,5,4,1,3,6]=>[6,3,1,4,5,7,8,2]
[8,7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7,8]
[3,8,6,7,4,2,1,5]=>[5,1,2,4,7,6,8,3]
[5,7,6,8,4,2,3,1]=>[1,3,2,4,8,6,7,5]
[5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]
[8,3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3,8]
[5,3,7,6,2,1,8,4]=>[4,8,1,2,6,7,3,5]
[5,3,6,2,8,7,1,4]=>[4,1,7,8,2,6,3,5]
[5,7,8,6,4,2,1,3]=>[3,1,2,4,6,8,7,5]
[2,6,7,5,4,8,1,3]=>[3,1,8,4,5,7,6,2]
[6,1,7,4,5,8,2,3]=>[3,2,8,5,4,7,1,6]
[6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]
[2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]
[2,1,5,7,3,6,8,4]=>[4,8,6,3,7,5,1,2]
[5,7,3,6,1,2,8,4]=>[4,8,2,1,6,3,7,5]
[4,1,7,2,5,6,8,3]=>[3,8,6,5,2,7,1,4]
[2,4,7,1,6,5,8,3]=>[3,8,5,6,1,7,4,2]
[4,6,2,1,8,7,5,3]=>[3,5,7,8,1,2,6,4]
[3,4,6,2,7,8,5,1]=>[1,5,8,7,2,6,4,3]
[4,6,1,2,5,8,7,3]=>[3,7,8,5,2,1,6,4]
[5,6,1,4,8,2,7,3]=>[3,7,2,8,4,1,6,5]
[5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]
[3,5,6,4,7,1,8,2]=>[2,8,1,7,4,6,5,3]
[3,4,6,1,5,7,8,2]=>[2,8,7,5,1,6,4,3]
[3,4,1,5,7,6,8,2]=>[2,8,6,7,5,1,4,3]
[3,8,2,7,1,6,5,4]=>[4,5,6,1,7,2,8,3]
[3,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,3]
[3,8,2,7,6,5,1,4]=>[4,1,5,6,7,2,8,3]
[3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]
[4,8,7,2,6,5,3,1]=>[1,3,5,6,2,7,8,4]
[4,8,7,2,6,5,1,3]=>[3,1,5,6,2,7,8,4]
[4,8,7,2,6,1,5,3]=>[3,5,1,6,2,7,8,4]
[4,8,7,2,1,6,5,3]=>[3,5,6,1,2,7,8,4]
[4,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,4]
[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]
[4,8,7,3,2,6,1,5]=>[5,1,6,2,3,7,8,4]
[4,8,7,3,2,6,5,1]=>[1,5,6,2,3,7,8,4]
[4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]
[4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]
[4,8,7,3,6,1,5,2]=>[2,5,1,6,3,7,8,4]
[4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]
[4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]
[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]
[5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]
[5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]
[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]
[5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]
[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]
[5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]
[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]
[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]
[7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]
[7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]
[7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]
[6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]
[7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]
[7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]
[7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]
[1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]
[1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]
[6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]
[6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]
[6,3,5,1,7,4,8,2]=>[2,8,4,7,1,5,3,6]
[6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]
[3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]
[2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]
[1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]
[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]
[2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]
[3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]
[5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]
[5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]
[5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]
[1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]
[6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]
[5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]
[5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]
[5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]
[6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]
[6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]
[5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]
[4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]
[4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]
[1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]
[1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]
[3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]
[3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]
[4,2,1,5,7,3,8,6]=>[6,8,3,7,5,1,2,4]
[4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]
[4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]
[1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]
[1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]
[3,4,6,7,1,8,5,2]=>[2,5,8,1,7,6,4,3]
[4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]
[4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]
[2,3,6,1,7,8,5,4]=>[4,5,8,7,1,6,3,2]
[2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]
[2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]
[1,4,3,6,2,5,7,8]=>[8,7,5,2,6,3,4,1]
[1,4,3,7,2,5,6,8]=>[8,6,5,2,7,3,4,1]
[1,4,3,7,6,8,2,5]=>[5,2,8,6,7,3,4,1]
[1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]
[1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]
[1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]
[1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]
[1,5,4,8,2,6,3,7]=>[7,3,6,2,8,4,5,1]
[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]
[1,2,3,6,5,8,4,7]=>[7,4,8,5,6,3,2,1]
[6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]
[3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]
[7,8,1,4,5,3,6,2]=>[2,6,3,5,4,1,8,7]
[3,8,7,4,1,6,5,2]=>[2,5,6,1,4,7,8,3]
[4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]
[5,8,3,1,6,4,7,2]=>[2,7,4,6,1,3,8,5]
[5,8,1,4,7,6,3,2]=>[2,3,6,7,4,1,8,5]
[7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]
[7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]
[7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]
[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]
[6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]
[7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]
[7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]
[7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]
[7,2,8,3,6,5,1,4]=>[4,1,5,6,3,8,2,7]
[7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]
[7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]
[6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]
[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]
[5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]
[5,2,3,8,1,4,7,6]=>[6,7,4,1,8,3,2,5]
[6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]
[6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]
[6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]
[3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]
[2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]
[2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]
[2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]
[2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]
[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]
[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]
[2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]
[2,4,8,3,7,1,6,5]=>[5,6,1,7,3,8,4,2]
[2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]
[2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]
[2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]
[3,1,5,4,8,2,7,6]=>[6,7,2,8,4,5,1,3]
[5,3,1,4,8,2,7,6]=>[6,7,2,8,4,1,3,5]
[5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]
[4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]
[4,8,2,3,7,1,6,5]=>[5,6,1,7,3,2,8,4]
[4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]
[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]
[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]
[6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]
[5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]
[5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]
[1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]
[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]
[5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]
[5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]
[6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]
[5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]
[5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]
[4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]
[4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]
[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]
[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]
[3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]
[3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]
[4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]
[4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]
[3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]
[3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]
[3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]
[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]
[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]
[3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]
[3,4,8,2,7,1,6,5]=>[5,6,1,7,2,8,4,3]
[3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]
[4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4]
[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]
[3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]
[7,8,2,1,5,3,6,4]=>[4,6,3,5,1,2,8,7]
[6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]
[2,3,7,5,4,1,8,6]=>[6,8,1,4,5,7,3,2]
[6,3,1,5,4,2,7,8]=>[8,7,2,4,5,1,3,6]
[7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]
[7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]
[7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]
[7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]
[5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]
[5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]
[6,4,2,1,7,3,8,5]=>[5,8,3,7,1,2,4,6]
[4,3,7,5,8,6,1,2]=>[2,1,6,8,5,7,3,4]
[4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]
[3,2,6,7,4,8,1,5]=>[5,1,8,4,7,6,2,3]
[3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]
[1,7,6,5,3,8,4,2]=>[2,4,8,3,5,6,7,1]
[2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]
[1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]
[2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]
[2,7,1,4,8,3,5,6]=>[6,5,3,8,4,1,7,2]
[3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]
[5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]
[5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]
[4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]
[4,7,6,5,2,8,1,3]=>[3,1,8,2,5,6,7,4]
[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]
[1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]
[1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]
[4,7,6,5,1,2,8,3]=>[3,8,2,1,5,6,7,4]
[4,7,6,5,3,1,8,2]=>[2,8,1,3,5,6,7,4]
[6,1,3,5,4,8,7,2]=>[2,7,8,4,5,3,1,6]
[5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]
[5,1,6,2,4,7,8,3]=>[3,8,7,4,2,6,1,5]
[1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]
[1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]
[6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]
[4,1,8,2,6,3,5,7]=>[7,5,3,6,2,8,1,4]
[4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]
[4,7,1,6,2,3,8,5]=>[5,8,3,2,6,1,7,4]
[1,7,2,6,8,3,5,4]=>[4,5,3,8,6,2,7,1]
[1,2,6,7,4,8,5,3]=>[3,5,8,4,7,6,2,1]
[3,1,6,7,4,2,8,5]=>[5,8,2,4,7,6,1,3]
[3,2,8,5,4,6,1,7]=>[7,1,6,4,5,8,2,3]
[4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]
[4,7,1,2,5,3,8,6]=>[6,8,3,5,2,1,7,4]
[3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]
[3,7,6,5,1,4,8,2]=>[2,8,4,1,5,6,7,3]
[3,7,6,5,2,1,8,4]=>[4,8,1,2,5,6,7,3]
[1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]
[3,7,6,5,8,1,4,2]=>[2,4,1,8,5,6,7,3]
[3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]
[3,1,6,8,4,2,5,7]=>[7,5,2,4,8,6,1,3]
[4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]
[2,7,6,5,1,4,3,8]=>[8,3,4,1,5,6,7,2]
[2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]
[2,7,6,5,8,4,1,3]=>[3,1,4,8,5,6,7,2]
[6,3,2,1,7,4,8,5]=>[5,8,4,7,1,2,3,6]
[4,2,1,7,3,5,8,6]=>[6,8,5,3,7,1,2,4]
[7,3,1,5,4,2,8,6]=>[6,8,2,4,5,1,3,7]
[8,4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4,8]
[8,2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2,8]
[4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]
[6,3,7,4,2,1,8,5]=>[5,8,1,2,4,7,3,6]
[4,7,2,5,3,1,8,6]=>[6,8,1,3,5,2,7,4]
[2,7,5,4,1,3,8,6]=>[6,8,3,1,4,5,7,2]
[7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7]
[8,5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5,8]
[6,5,2,1,8,4,3,7]=>[7,3,4,8,1,2,5,6]
[4,6,3,2,8,1,5,7]=>[7,5,1,8,2,3,6,4]
[5,7,4,3,2,8,1,6]=>[6,1,8,2,3,4,7,5]
[1,7,6,2,4,8,3,5]=>[5,3,8,4,2,6,7,1]
[2,7,3,6,4,8,1,5]=>[5,1,8,4,6,3,7,2]
[6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]
[7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]
[5,8,1,6,2,7,4,3]=>[3,4,7,2,6,1,8,5]
[1,8,6,2,3,7,5,4]=>[4,5,7,3,2,6,8,1]
[1,8,6,3,2,7,5,4]=>[4,5,7,2,3,6,8,1]
[5,8,3,2,7,1,6,4]=>[4,6,1,7,2,3,8,5]
[8,7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7,8]
[8,7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7,8]
[1,8,5,7,4,3,6,2]=>[2,6,3,4,7,5,8,1]
[1,8,5,7,2,4,6,3]=>[3,6,4,2,7,5,8,1]
[3,8,6,1,7,2,5,4]=>[4,5,2,7,1,6,8,3]
[5,8,4,6,7,1,3,2]=>[2,3,1,7,6,4,8,5]
[7,2,8,5,6,1,4,3]=>[3,4,1,6,5,8,2,7]
[6,3,7,5,8,2,1,4]=>[4,1,2,8,5,7,3,6]
[3,7,2,6,8,4,1,5]=>[5,1,4,8,6,2,7,3]
[3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]
[2,6,5,8,4,1,3,7]=>[7,3,1,4,8,5,6,2]
[6,5,4,8,3,2,1,7]=>[7,1,2,3,8,4,5,6]
[8,4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4,8]
[8,2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2,8]
[6,2,5,8,1,4,3,7]=>[7,3,4,1,8,5,2,6]
[4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]
[6,3,5,1,8,4,2,7]=>[7,2,4,8,1,5,3,6]
[8,4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4,8]
[6,4,2,5,8,3,1,7]=>[7,1,3,8,5,2,4,6]
[5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5]
[6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]
[6,3,7,4,8,5,2,1]=>[1,2,5,8,4,7,3,6]
[4,7,2,5,8,6,3,1]=>[1,3,6,8,5,2,7,4]
[6,3,1,8,4,7,5,2]=>[2,5,7,4,8,1,3,6]
[6,4,2,8,7,3,5,1]=>[1,5,3,7,8,2,4,6]
[6,5,3,8,7,4,1,2]=>[2,1,4,7,8,3,5,6]
[8,5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5,8]
[5,4,8,1,7,6,2,3]=>[3,2,6,7,1,8,4,5]
[5,2,8,1,7,3,6,4]=>[4,6,3,7,1,8,2,5]
[6,4,8,2,1,7,5,3]=>[3,5,7,1,2,8,4,6]
[3,6,8,1,4,7,5,2]=>[2,5,7,4,1,8,6,3]
[5,7,3,8,1,6,4,2]=>[2,4,6,1,8,3,7,5]
[6,4,7,8,1,5,3,2]=>[2,3,5,1,8,7,4,6]
[6,3,7,8,5,2,4,1]=>[1,4,2,5,8,7,3,6]
[2,5,8,7,1,3,6,4]=>[4,6,3,1,7,8,5,2]
[5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]
[8,3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3,8]
[8,2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2,8]
[4,3,8,7,6,2,1,5]=>[5,1,2,6,7,8,3,4]
[2,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,2]
[3,5,8,7,2,6,1,4]=>[4,1,6,2,7,8,5,3]
[4,7,3,8,6,5,1,2]=>[2,1,5,6,8,3,7,4]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]
[5,8,7,3,6,4,2,1]=>[1,2,4,6,3,7,8,5]
[4,8,7,6,2,5,3,1]=>[1,3,5,2,6,7,8,4]
[3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]
[2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]
[3,6,5,1,2,4,8,7]=>[7,8,4,2,1,5,6,3]
[3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]
[3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]
[5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]
[5,1,2,6,4,3,8,7]=>[7,8,3,4,6,2,1,5]
[6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]
[5,1,2,4,6,3,8,7]=>[7,8,3,6,4,2,1,5]
[4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]
[4,1,5,7,8,3,2,6]=>[6,2,3,8,7,5,1,4]
[4,1,5,8,7,3,2,6]=>[6,2,3,7,8,5,1,4]
[4,7,1,8,3,6,2,5]=>[5,2,6,3,8,1,7,4]
[4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]
[5,1,7,4,8,2,3,6]=>[6,3,2,8,4,7,1,5]
[7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]
[2,1,5,8,7,3,4,6]=>[6,4,3,7,8,5,1,2]
[5,1,8,4,7,2,3,6]=>[6,3,2,7,4,8,1,5]
[4,1,8,7,5,2,3,6]=>[6,3,2,5,7,8,1,4]
[4,7,1,6,3,2,8,5]=>[5,8,2,3,6,1,7,4]
[6,1,2,3,7,5,8,4]=>[4,8,5,7,3,2,1,6]
[7,1,2,3,8,6,5,4]=>[4,5,6,8,3,2,1,7]
[7,1,2,3,5,8,6,4]=>[4,6,8,5,3,2,1,7]
[6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]
[8,7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7,8]
[2,1,7,3,4,8,6,5]=>[5,6,8,4,3,7,1,2]
[7,8,3,2,4,1,6,5]=>[5,6,1,4,2,3,8,7]
[6,7,1,4,3,8,2,5]=>[5,2,8,3,4,1,7,6]
[8,1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1,8]
[8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]
[7,1,2,3,6,8,5,4]=>[4,5,8,6,3,2,1,7]
[7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7]
[8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]
[8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]
[7,1,8,5,4,3,2,6]=>[6,2,3,4,5,8,1,7]
[7,8,2,6,3,4,1,5]=>[5,1,4,3,6,2,8,7]
[6,8,2,7,3,4,1,5]=>[5,1,4,3,7,2,8,6]
[6,7,2,8,3,4,1,5]=>[5,1,4,3,8,2,7,6]
[3,8,7,1,4,2,6,5]=>[5,6,2,4,1,7,8,3]
[3,7,8,1,4,2,6,5]=>[5,6,2,4,1,8,7,3]
[3,6,8,1,4,2,7,5]=>[5,7,2,4,1,8,6,3]
[3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]
[3,6,7,1,4,2,8,5]=>[5,8,2,4,1,7,6,3]
[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]
[8,6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6,8]
[8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]
[8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]
[5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]
[2,1,7,3,4,6,8,5]=>[5,8,6,4,3,7,1,2]
[6,7,3,2,4,1,8,5]=>[5,8,1,4,2,3,7,6]
[8,7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7,8]
[7,1,2,3,5,6,8,4]=>[4,8,6,5,3,2,1,7]
[6,1,2,3,8,7,4,5]=>[5,4,7,8,3,2,1,6]
[5,1,2,3,7,8,6,4]=>[4,6,8,7,3,2,1,5]
[5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]
[5,1,2,3,8,6,7,4]=>[4,7,6,8,3,2,1,5]
[6,1,2,3,5,8,7,4]=>[4,7,8,5,3,2,1,6]
[8,6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6,8]
[7,6,3,2,4,8,1,5]=>[5,1,8,4,2,3,6,7]
[2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]
[8,6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6,8]
[7,6,2,4,3,1,8,5]=>[5,8,1,3,4,2,6,7]
[6,1,2,3,5,7,8,4]=>[4,8,7,5,3,2,1,6]
[5,1,2,3,6,8,7,4]=>[4,7,8,6,3,2,1,5]
[7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]
[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]
[1,2,8,5,4,7,3,6]=>[6,3,7,4,5,8,2,1]
[1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]
[2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]
[1,3,6,8,4,7,5,2]=>[2,5,7,4,8,6,3,1]
[2,4,8,1,7,3,6,5]=>[5,6,3,7,1,8,4,2]
[3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]
[1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]
[7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]
[7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]
[7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]
[6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]
[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]
[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]
[6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]
[7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]
[7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]
[7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]
[7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]
[6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]
[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]
[1,5,8,2,7,6,3,4]=>[4,3,6,7,2,8,5,1]
[5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]
[5,8,2,7,6,3,4,1]=>[1,4,3,6,7,2,8,5]
[6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]
[6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]
[3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]
[2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]
[2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]
[2,5,3,8,7,4,6,1]=>[1,6,4,7,8,3,5,2]
[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]
[2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]
[2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]
[2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]
[3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]
[5,3,8,4,1,7,6,2]=>[2,6,7,1,4,8,3,5]
[4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]
[4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]
[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]
[4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]
[6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]
[5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]
[5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]
[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]
[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]
[5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]
[5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]
[6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]
[5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]
[5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]
[5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]
[4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]
[4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]
[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]
[3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]
[3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]
[4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]
[4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]
[4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]
[3,2,5,8,7,1,6,4]=>[4,6,1,7,8,5,2,3]
[3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]
[3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]
[3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]
[1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]
[3,4,8,7,6,2,5,1]=>[1,5,2,6,7,8,4,3]
[3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]
[4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]
[2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]
[1,2,7,5,8,6,4,3]=>[3,4,6,8,5,7,2,1]
[7,1,4,8,2,6,5,3]=>[3,5,6,2,8,4,1,7]
[6,8,1,3,7,5,2,4]=>[4,2,5,7,3,1,8,6]
[3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]
[1,3,7,8,2,6,5,4]=>[4,5,6,2,8,7,3,1]
[2,3,7,8,1,6,5,4]=>[4,5,6,1,8,7,3,2]
[2,7,8,1,3,6,5,4]=>[4,5,6,3,1,8,7,2]
[8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]
[8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]
[8,2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2,8]
[2,8,1,6,7,3,5,4]=>[4,5,3,7,6,1,8,2]
[2,6,8,3,7,1,5,4]=>[4,5,1,7,3,8,6,2]
[2,8,6,4,7,1,5,3]=>[3,5,1,7,4,6,8,2]
[6,8,3,4,1,7,5,2]=>[2,5,7,1,4,3,8,6]
[6,8,3,7,4,1,5,2]=>[2,5,1,4,7,3,8,6]
[2,6,8,3,7,5,1,4]=>[4,1,5,7,3,8,6,2]
[2,8,1,6,7,5,3,4]=>[4,3,5,7,6,1,8,2]
[8,2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2,8]
[8,4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4,8]
[8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]
[8,3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3,8]
[8,5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5,8]
[8,2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2,8]
[8,2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2,8]
[8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]
[8,7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7,8]
[8,7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7,8]
[8,4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4,8]
[1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]
[8,3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3,8]
[5,8,7,1,3,6,2,4]=>[4,2,6,3,1,7,8,5]
[8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]
[8,5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5,8]
[8,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,8]
[1,4,6,8,2,7,5,3]=>[3,5,7,2,8,6,4,1]
[1,6,5,8,2,7,4,3]=>[3,4,7,2,8,5,6,1]
[8,5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5,8]
[5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]
[1,8,4,5,7,2,6,3]=>[3,6,2,7,5,4,8,1]
[5,8,7,3,6,1,2,4]=>[4,2,1,6,3,7,8,5]
[8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]
[1,6,8,3,7,5,2,4]=>[4,2,5,7,3,8,6,1]
[6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]
[6,8,4,2,7,1,5,3]=>[3,5,1,7,2,4,8,6]
[8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]
[8,4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4,8]
[8,4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4,8]
[8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8]
[8,7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7,8]
[8,3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3,8]
[2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2]
[8,7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7,8]
[8,7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7,8]
[5,8,7,2,3,6,1,4]=>[4,1,6,3,2,7,8,5]
[8,7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7,8]
[8,7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7,8]
[1,3,2,8,5,4,7,6]=>[6,7,4,5,8,2,3,1]
[4,2,8,5,3,7,1,6]=>[6,1,7,3,5,8,2,4]
[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]
[6,2,8,4,3,7,5,1]=>[1,5,7,3,4,8,2,6]
[7,2,8,4,3,1,6,5]=>[5,6,1,3,4,8,2,7]
[7,3,4,8,2,1,6,5]=>[5,6,1,2,8,4,3,7]
[6,3,4,8,2,7,5,1]=>[1,5,7,2,8,4,3,6]
[5,3,4,1,8,2,7,6]=>[6,7,2,8,1,4,3,5]
[8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]
[8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]
[3,5,4,2,8,1,7,6]=>[6,7,1,8,2,4,5,3]
[4,5,3,2,8,7,1,6]=>[6,1,7,8,2,3,5,4]
[6,4,3,2,8,7,5,1]=>[1,5,7,8,2,3,4,6]
[6,5,3,2,1,7,8,4]=>[4,8,7,1,2,3,5,6]
[5,6,3,2,7,8,4,1]=>[1,4,8,7,2,3,6,5]
[4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]
[3,6,4,2,7,8,1,5]=>[5,1,8,7,2,4,6,3]
[8,1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1,8]
[8,1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1,8]
[2,7,4,1,3,6,5,8]=>[8,5,6,3,1,4,7,2]
[3,7,4,2,6,1,5,8]=>[8,5,1,6,2,4,7,3]
[4,1,7,3,2,6,5,8]=>[8,5,6,2,3,7,1,4]
[5,7,3,2,6,4,8,1]=>[1,8,4,6,2,3,7,5]
[6,7,3,2,5,4,1,8]=>[8,1,4,5,2,3,7,6]
[7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]
[4,7,5,6,2,3,8,1]=>[1,8,3,2,6,5,7,4]
[3,1,7,5,6,2,4,8]=>[8,4,2,6,5,7,1,3]
[2,7,5,6,1,3,4,8]=>[8,4,3,1,6,5,7,2]
[2,6,5,7,1,3,8,4]=>[4,8,3,1,7,5,6,2]
[4,6,5,7,2,8,1,3]=>[3,1,8,2,7,5,6,4]
[5,6,4,7,2,8,3,1]=>[1,3,8,2,7,4,6,5]
[6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]
[7,5,4,6,2,1,8,3]=>[3,8,1,2,6,4,5,7]
[6,4,5,7,1,8,2,3]=>[3,2,8,1,7,5,4,6]
[5,4,6,1,7,8,2,3]=>[3,2,8,7,1,6,4,5]
[8,1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1,8]
[2,1,4,6,8,7,3,5]=>[5,3,7,8,6,4,1,2]
[3,4,6,8,7,1,2,5]=>[5,2,1,7,8,6,4,3]
[4,3,1,6,8,7,2,5]=>[5,2,7,8,6,1,3,4]
[5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]
[6,3,5,1,8,7,2,4]=>[4,2,7,8,1,5,3,6]
[7,3,5,8,6,2,1,4]=>[4,1,2,6,8,5,3,7]
[7,2,8,5,6,3,1,4]=>[4,1,3,6,5,8,2,7]
[6,2,8,5,1,7,3,4]=>[4,3,7,1,5,8,2,6]
[4,2,1,8,6,7,3,5]=>[5,3,7,6,8,1,2,4]
[1,3,2,8,6,7,4,5]=>[5,4,7,6,8,2,3,1]
[2,3,8,6,7,1,4,5]=>[5,4,1,7,6,8,3,2]
[8,1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1,8]
[2,3,8,7,1,6,5,4]=>[4,5,6,1,7,8,3,2]
[4,2,8,7,6,1,5,3]=>[3,5,1,6,7,8,2,4]
[5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]
[7,2,1,8,6,5,4,3]=>[3,4,5,6,8,1,2,7]
[7,3,6,1,8,5,4,2]=>[2,4,5,8,1,6,3,7]
[6,3,7,8,5,4,2,1]=>[1,2,4,5,8,7,3,6]
[5,3,7,8,6,4,1,2]=>[2,1,4,6,8,7,3,5]
[4,3,1,7,8,6,5,2]=>[2,5,6,8,7,1,3,4]
[3,4,7,8,6,1,5,2]=>[2,5,1,6,8,7,4,3]
[8,1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1,8]
[3,5,7,6,8,1,4,2]=>[2,4,1,8,6,7,5,3]
[4,5,7,6,8,3,1,2]=>[2,1,3,8,6,7,5,4]
[5,4,1,7,6,8,3,2]=>[2,3,8,6,7,1,4,5]
[6,4,7,5,8,3,2,1]=>[1,2,3,8,5,7,4,6]
[7,4,6,5,1,8,3,2]=>[2,3,8,1,5,6,4,7]
[7,5,6,4,3,1,8,2]=>[2,8,1,3,4,6,5,7]
[6,5,1,7,4,3,8,2]=>[2,8,3,4,7,1,5,6]
[4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]
[3,6,7,5,1,4,8,2]=>[2,8,4,1,5,7,6,3]
[8,1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1,8]
[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]
[2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]
[3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]
[4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]
[8,6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6,8]
[8,6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6,8]
[8,6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6,8]
[8,6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6,8]
[8,7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7,8]
[5,3,1,7,2,4,6,8]=>[8,6,4,2,7,1,3,5]
[8,7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7,8]
[8,6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6,8]
[8,5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5,8]
[8,5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5,8]
[8,5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5,8]
[8,6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6,8]
[8,6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6,8]
[8,6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6,8]
[8,6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6,8]
[8,7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7,8]
[5,1,4,2,3,8,6,7]=>[7,6,8,3,2,4,1,5]
[5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]
[7,1,5,8,2,6,3,4]=>[4,3,6,2,8,5,1,7]
[5,7,8,1,2,4,6,3]=>[3,6,4,2,1,8,7,5]
[5,7,8,1,3,4,6,2]=>[2,6,4,3,1,8,7,5]
[5,8,1,7,3,4,6,2]=>[2,6,4,3,7,1,8,5]
[8,1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1,8]
[8,4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4,8]
[1,4,2,3,8,7,5,6]=>[6,5,7,8,3,2,4,1]
[1,4,2,7,6,3,5,8]=>[8,5,3,6,7,2,4,1]
[6,1,2,8,7,5,3,4]=>[4,3,5,7,8,2,1,6]
[6,1,2,4,8,7,5,3]=>[3,5,7,8,4,2,1,6]
[3,1,8,4,6,7,5,2]=>[2,5,7,6,4,8,1,3]
[3,1,7,6,4,8,5,2]=>[2,5,8,4,6,7,1,3]
[7,1,2,4,6,8,5,3]=>[3,5,8,6,4,2,1,7]
[7,1,2,6,8,5,3,4]=>[4,3,5,8,6,2,1,7]
[6,1,2,7,8,5,3,4]=>[4,3,5,8,7,2,1,6]
[6,1,2,7,4,8,5,3]=>[3,5,8,4,7,2,1,6]
[3,1,6,4,7,8,5,2]=>[2,5,8,7,4,6,1,3]
[5,7,1,3,8,4,6,2]=>[2,6,4,8,3,1,7,5]
[5,7,1,8,4,2,6,3]=>[3,6,2,4,8,1,7,5]
[7,1,5,3,2,8,6,4]=>[4,6,8,2,3,5,1,7]
[7,1,4,5,2,8,6,3]=>[3,6,8,2,5,4,1,7]
[4,7,3,1,5,8,6,2]=>[2,6,8,5,1,3,7,4]
[4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]
[8,1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1,8]
[8,1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1,8]
[8,3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3,8]
[3,1,2,8,4,7,5,6]=>[6,5,7,4,8,2,1,3]
[3,1,2,8,6,4,5,7]=>[7,5,4,6,8,2,1,3]
[3,1,7,2,6,4,5,8]=>[8,5,4,6,2,7,1,3]
[1,4,2,3,8,6,5,7]=>[7,5,6,8,3,2,4,1]
[1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]
[5,8,1,7,2,4,6,3]=>[3,6,4,2,7,1,8,5]
[5,8,1,3,4,7,6,2]=>[2,6,7,4,3,1,8,5]
[3,1,8,6,4,7,5,2]=>[2,5,7,4,6,8,1,3]
[8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]
[6,1,2,8,7,3,5,4]=>[4,5,3,7,8,2,1,6]
[1,2,3,5,8,4,7,6]=>[6,7,4,8,5,3,2,1]
[1,2,3,5,8,6,4,7]=>[7,4,6,8,5,3,2,1]
[7,1,2,8,3,6,5,4]=>[4,5,6,3,8,2,1,7]
[7,1,2,8,6,4,5,3]=>[3,5,4,6,8,2,1,7]
[3,1,7,8,4,6,5,2]=>[2,5,6,4,8,7,1,3]
[3,1,8,7,6,4,5,2]=>[2,5,4,6,7,8,1,3]
[8,1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1,8]
[8,1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1,8]
[1,2,3,5,8,7,4,6]=>[6,4,7,8,5,3,2,1]
[1,2,3,6,8,5,4,7]=>[7,4,5,8,6,3,2,1]
[7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]
[7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]
[7,5,6,3,1,4,2,8]=>[8,2,4,1,3,6,5,7]
[7,5,8,3,1,4,2,6]=>[6,2,4,1,3,8,5,7]
[7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]
[7,8,5,3,1,6,2,4]=>[4,2,6,1,3,5,8,7]
[7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]
[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]
[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]
[7,8,5,3,4,1,6,2]=>[2,6,1,4,3,5,8,7]
[7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]
[7,8,5,3,1,2,6,4]=>[4,6,2,1,3,5,8,7]
[7,5,3,8,1,2,6,4]=>[4,6,2,1,8,3,5,7]
[7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]
[7,5,8,3,4,6,1,2]=>[2,1,6,4,3,8,5,7]
[7,5,6,3,4,1,8,2]=>[2,8,1,4,3,6,5,7]
[7,5,6,3,1,4,8,2]=>[2,8,4,1,3,6,5,7]
[7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]
[7,5,3,6,1,2,8,4]=>[4,8,2,1,6,3,5,7]
[7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]
[7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]
[7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7]
[7,5,3,1,6,2,8,4]=>[4,8,2,6,1,3,5,7]
[7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7]
[7,5,3,6,1,4,8,2]=>[2,8,4,1,6,3,5,7]
[7,5,3,6,4,1,8,2]=>[2,8,1,4,6,3,5,7]
[7,5,3,6,4,8,1,2]=>[2,1,8,4,6,3,5,7]
[7,5,3,8,4,6,1,2]=>[2,1,6,4,8,3,5,7]
[7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]
[7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]
[7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]
[7,5,3,1,8,2,4,6]=>[6,4,2,8,1,3,5,7]
[7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]
[7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]
[7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]
[7,5,3,1,8,6,2,4]=>[4,2,6,8,1,3,5,7]
[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]
[7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]
[7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]
[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]
[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]
[7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]
[7,5,8,3,1,6,2,4]=>[4,2,6,1,3,8,5,7]
[7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]
[7,5,3,6,4,1,2,8]=>[8,2,1,4,6,3,5,7]
[7,5,3,8,4,1,2,6]=>[6,2,1,4,8,3,5,7]
[7,5,8,6,3,1,2,4]=>[4,2,1,3,6,8,5,7]
[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]
[7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]
[7,5,6,8,3,1,4,2]=>[2,4,1,3,8,6,5,7]
[7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]
[7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]
[7,5,3,4,1,8,2,6]=>[6,2,8,1,4,3,5,7]
[7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]
[7,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,7]
[7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]
[7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]
[7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]
[7,5,3,6,8,1,4,2]=>[2,4,1,8,6,3,5,7]
[7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]
[7,5,3,1,6,8,4,2]=>[2,4,8,6,1,3,5,7]
[7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]
[7,5,3,1,4,8,2,6]=>[6,2,8,4,1,3,5,7]
[7,5,3,1,4,6,2,8]=>[8,2,6,4,1,3,5,7]
[7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]
[7,5,3,1,2,8,4,6]=>[6,4,8,2,1,3,5,7]
[7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]
[7,5,3,1,4,8,6,2]=>[2,6,8,4,1,3,5,7]
[7,5,3,4,1,8,6,2]=>[2,6,8,1,4,3,5,7]
[7,5,3,4,8,1,6,2]=>[2,6,1,8,4,3,5,7]
[7,5,3,4,8,6,1,2]=>[2,1,6,8,4,3,5,7]
[7,5,3,4,6,1,8,2]=>[2,8,1,6,4,3,5,7]
[7,5,3,4,1,6,8,2]=>[2,8,6,1,4,3,5,7]
[7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]
[7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]
[7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]
[3,6,2,5,4,1,8,7]=>[7,8,1,4,5,2,6,3]
[3,5,2,8,4,7,6,1]=>[1,6,7,4,8,2,5,3]
[5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]
[5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]
[6,4,5,3,2,1,8,7]=>[7,8,1,2,3,5,4,6]
[5,3,2,6,4,1,8,7]=>[7,8,1,4,6,2,3,5]
[4,5,8,3,2,7,6,1]=>[1,6,7,2,3,8,5,4]
[4,7,6,3,8,5,2,1]=>[1,2,5,8,3,6,7,4]
[4,8,6,3,7,5,2,1]=>[1,2,5,7,3,6,8,4]
[4,8,5,3,2,7,6,1]=>[1,6,7,2,3,5,8,4]
[5,8,4,3,2,7,6,1]=>[1,6,7,2,3,4,8,5]
[5,3,2,8,4,7,6,1]=>[1,6,7,4,8,2,3,5]
[2,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,2]
[5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]
[5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]
[4,7,5,3,2,8,6,1]=>[1,6,8,2,3,5,7,4]
[4,7,8,3,6,5,2,1]=>[1,2,5,6,3,8,7,4]
[4,6,8,3,7,5,2,1]=>[1,2,5,7,3,8,6,4]
[7,6,4,3,8,5,2,1]=>[1,2,5,8,3,4,6,7]
[7,3,2,6,8,5,4,1]=>[1,4,5,8,6,2,3,7]
[2,1,8,6,7,5,4,3]=>[3,4,5,7,6,8,1,2]
[8,3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3,8]
[8,6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6,8]
[8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]
[8,4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4,8]
[8,4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4,8]
[8,4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4,8]
[7,4,6,3,8,5,2,1]=>[1,2,5,8,3,6,4,7]
[3,7,2,6,8,5,4,1]=>[1,4,5,8,6,2,7,3]
[3,8,2,6,7,5,4,1]=>[1,4,5,7,6,2,8,3]
[3,8,2,5,4,7,6,1]=>[1,6,7,4,5,2,8,3]
[3,7,2,8,6,5,4,1]=>[1,4,5,6,8,2,7,3]
[3,6,2,8,7,5,4,1]=>[1,4,5,7,8,2,6,3]
[6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]
[6,4,8,3,7,5,2,1]=>[1,2,5,7,3,8,4,6]
[7,4,8,3,6,5,2,1]=>[1,2,5,6,3,8,4,7]
[7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]
[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]
[7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]
[2,1,7,5,4,8,6,3]=>[3,6,8,4,5,7,1,2]
[7,3,2,8,6,5,4,1]=>[1,4,5,6,8,2,3,7]
[7,8,4,3,6,5,2,1]=>[1,2,5,6,3,4,8,7]
[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]
[6,8,4,3,7,5,2,1]=>[1,2,5,7,3,4,8,6]
[6,3,2,8,7,5,4,1]=>[1,4,5,7,8,2,3,6]
[6,3,2,7,8,5,4,1]=>[1,4,5,8,7,2,3,6]
[6,7,4,3,8,5,2,1]=>[1,2,5,8,3,4,7,6]
[4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]
[6,8,1,2,4,5,7,3]=>[3,7,5,4,2,1,8,6]
[3,5,8,2,4,7,1,6]=>[6,1,7,4,2,8,5,3]
[8,3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3,8]
[4,2,5,7,3,6,1,8]=>[8,1,6,3,7,5,2,4]
[4,5,2,8,3,1,6,7]=>[7,6,1,3,8,2,5,4]
[4,2,5,8,3,7,1,6]=>[6,1,7,3,8,5,2,4]
[2,1,6,8,4,7,3,5]=>[5,3,7,4,8,6,1,2]
[1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]
[5,3,6,8,4,7,1,2]=>[2,1,7,4,8,6,3,5]
[1,6,5,8,2,4,7,3]=>[3,7,4,2,8,5,6,1]
[3,1,2,6,8,5,7,4]=>[4,7,5,8,6,2,1,3]
[1,4,3,8,2,6,7,5]=>[5,7,6,2,8,3,4,1]
[5,4,8,3,2,1,6,7]=>[7,6,1,2,3,8,4,5]
[5,4,3,7,2,6,1,8]=>[8,1,6,2,7,3,4,5]
[4,3,6,2,7,5,1,8]=>[8,1,5,7,2,6,3,4]
[4,6,3,2,1,8,5,7]=>[7,5,8,1,2,3,6,4]
[4,1,7,3,2,5,8,6]=>[6,8,5,2,3,7,1,4]
[4,3,1,7,8,2,6,5]=>[5,6,2,8,7,1,3,4]
[3,5,1,2,7,8,6,4]=>[4,6,8,7,2,1,5,3]
[7,5,1,4,8,2,6,3]=>[3,6,2,8,4,1,5,7]
[5,4,7,3,8,6,1,2]=>[2,1,6,8,3,7,4,5]
[5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]
[5,8,7,1,4,2,6,3]=>[3,6,2,4,1,7,8,5]
[8,3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3,8]
[4,8,3,1,7,2,6,5]=>[5,6,2,7,1,3,8,4]
[1,8,4,3,5,2,7,6]=>[6,7,2,5,3,4,8,1]
[4,6,3,1,5,2,8,7]=>[7,8,2,5,1,3,6,4]
[4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]
[5,3,7,6,4,2,1,8]=>[8,1,2,4,6,7,3,5]
[1,6,3,4,2,8,7,5]=>[5,7,8,2,4,3,6,1]
[1,8,3,6,2,7,5,4]=>[4,5,7,2,6,3,8,1]
[1,6,8,7,4,2,5,3]=>[3,5,2,4,7,8,6,1]
[6,4,8,7,5,3,1,2]=>[2,1,3,5,7,8,4,6]
[7,6,4,3,8,5,1,2]=>[2,1,5,8,3,4,6,7]
[1,7,6,2,8,4,5,3]=>[3,5,4,8,2,6,7,1]
[7,1,3,2,6,8,5,4]=>[4,5,8,6,2,3,1,7]
[1,5,3,2,7,4,8,6]=>[6,8,4,7,2,3,5,1]
[6,3,2,1,8,5,4,7]=>[7,4,5,8,1,2,3,6]
[6,5,3,2,7,4,1,8]=>[8,1,4,7,2,3,5,6]
[5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]
[2,8,5,3,1,6,4,7]=>[7,4,6,1,3,5,8,2]
[2,1,7,3,8,5,4,6]=>[6,4,5,8,3,7,1,2]
[1,6,2,3,7,8,5,4]=>[4,5,8,7,3,2,6,1]
[1,6,7,2,8,4,5,3]=>[3,5,4,8,2,7,6,1]
[5,7,1,8,2,4,6,3]=>[3,6,4,2,8,1,7,5]
[5,1,2,7,8,3,6,4]=>[4,6,3,8,7,2,1,5]
[2,4,1,7,8,6,3,5]=>[5,3,6,8,7,1,4,2]
[4,2,1,7,3,8,5,6]=>[6,5,8,3,7,1,2,4]
[6,2,8,4,3,1,5,7]=>[7,5,1,3,4,8,2,6]
[7,3,2,1,8,4,5,6]=>[6,5,4,8,1,2,3,7]
[7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]
[7,1,8,2,4,5,6,3]=>[3,6,5,4,2,8,1,7]
[8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]
[8,3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3,8]
[3,2,8,7,5,1,4,6]=>[6,4,1,5,7,8,2,3]
[8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]
[7,6,3,5,2,4,1,8]=>[8,1,4,2,5,3,6,7]
[7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]
[8,2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2,8]
[4,2,8,1,7,5,3,6]=>[6,3,5,7,1,8,2,4]
[8,2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2,8]
[8,7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7,8]
[8,5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5,8]
[6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]
[8,1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1,8]
[8,1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1,8]
[2,8,1,7,5,4,3,6]=>[6,3,4,5,7,1,8,2]
[2,5,1,8,6,4,3,7]=>[7,3,4,6,8,1,5,2]
[5,7,2,6,4,3,1,8]=>[8,1,3,4,6,2,7,5]
[6,2,7,5,4,3,1,8]=>[8,1,3,4,5,7,2,6]
[2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]
[1,2,7,5,4,3,8,6]=>[6,8,3,4,5,7,2,1]
[1,7,2,4,3,8,6,5]=>[5,6,8,3,4,2,7,1]
[1,7,2,8,3,6,5,4]=>[4,5,6,3,8,2,7,1]
[1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]
[7,3,8,6,5,4,1,2]=>[2,1,4,5,6,8,3,7]
[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]
[8,1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1,8]
[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]
[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]
[8,6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6,8]
[8,6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6,8]
[8,6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6,8]
[8,6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6,8]
[4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]
[1,4,3,7,2,5,8,6]=>[6,8,5,2,7,3,4,1]
[7,4,8,3,1,6,2,5]=>[5,2,6,1,3,8,4,7]
[7,1,5,8,3,2,6,4]=>[4,6,2,3,8,5,1,7]
[5,7,4,1,8,2,6,3]=>[3,6,2,8,1,4,7,5]
[5,7,4,3,1,8,6,2]=>[2,6,8,1,3,4,7,5]
[1,8,7,2,5,4,6,3]=>[3,6,4,5,2,7,8,1]
[1,8,5,3,7,2,6,4]=>[4,6,2,7,3,5,8,1]
[4,3,1,8,7,5,2,6]=>[6,2,5,7,8,1,3,4]
[1,4,8,6,3,5,2,7]=>[7,2,5,3,6,8,4,1]
[7,4,6,3,5,2,1,8]=>[8,1,2,5,3,6,4,7]
[1,3,5,6,8,4,2,7]=>[7,2,4,8,6,5,3,1]
[3,5,4,8,7,1,2,6]=>[6,2,1,7,8,4,5,3]
[3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]
[1,6,3,8,7,2,5,4]=>[4,5,2,7,8,3,6,1]
[1,6,2,4,8,7,5,3]=>[3,5,7,8,4,2,6,1]
[8,4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4,8]
[7,1,6,4,8,5,2,3]=>[3,2,5,8,4,6,1,7]
[7,3,6,8,5,1,2,4]=>[4,2,1,5,8,6,3,7]
[1,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,1]
[3,6,5,2,8,1,4,7]=>[7,4,1,8,2,5,6,3]
[3,6,5,7,2,4,1,8]=>[8,1,4,2,7,5,6,3]
[4,2,6,3,8,1,5,7]=>[7,5,1,8,3,6,2,4]
[4,2,6,7,3,5,1,8]=>[8,1,5,3,7,6,2,4]
[3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]
[3,6,2,4,1,8,5,7]=>[7,5,8,1,4,2,6,3]
[7,3,8,2,1,6,4,5]=>[5,4,6,1,2,8,3,7]
[7,3,5,2,1,8,6,4]=>[4,6,8,1,2,5,3,7]
[8,7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7,8]
[8,7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7,8]
[3,8,7,2,1,4,6,5]=>[5,6,4,1,2,7,8,3]
[3,8,2,7,1,5,4,6]=>[6,4,5,1,7,2,8,3]
[3,6,8,2,1,5,4,7]=>[7,4,5,1,2,8,6,3]
[2,4,8,1,6,5,3,7]=>[7,3,5,6,1,8,4,2]
[4,2,8,1,5,7,3,6]=>[6,3,7,5,1,8,2,4]
[8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]
[8,6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6,8]
[8,6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6,8]
[1,6,2,8,7,3,5,4]=>[4,5,3,7,8,2,6,1]
[1,8,2,4,6,7,3,5]=>[5,3,7,6,4,2,8,1]
[2,8,5,4,7,1,3,6]=>[6,3,1,7,4,5,8,2]
[2,1,5,8,6,4,3,7]=>[7,3,4,6,8,5,1,2]
[7,2,5,6,4,3,1,8]=>[8,1,3,4,6,5,2,7]
[1,2,5,7,8,4,3,6]=>[6,3,4,8,7,5,2,1]
[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]
[1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]
[7,1,8,6,3,5,4,2]=>[2,4,5,3,6,8,1,7]
[1,8,7,6,3,5,2,4]=>[4,2,5,3,6,7,8,1]
[1,8,7,4,6,3,2,5]=>[5,2,3,6,4,7,8,1]
[7,1,5,8,3,4,6,2]=>[2,6,4,3,8,5,1,7]
[7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]
[8,6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6,8]
[8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]
[2,7,1,4,5,8,3,6]=>[6,3,8,5,4,1,7,2]
[7,1,6,4,5,2,3,8]=>[8,3,2,5,4,6,1,7]
[7,1,4,5,6,8,2,3]=>[3,2,8,6,5,4,1,7]
[7,1,4,6,5,8,3,2]=>[2,3,8,5,6,4,1,7]
[7,1,2,3,8,5,4,6]=>[6,4,5,8,3,2,1,7]
[7,1,5,4,3,8,2,6]=>[6,2,8,3,4,5,1,7]
[7,1,3,4,2,6,8,5]=>[5,8,6,2,4,3,1,7]
[7,1,5,4,6,2,8,3]=>[3,8,2,6,4,5,1,7]
[7,1,5,6,4,3,8,2]=>[2,8,3,4,6,5,1,7]
[7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]
[8,6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6,8]
[2,5,1,7,4,3,6,8]=>[8,6,3,4,7,1,5,2]
[2,5,1,4,7,8,6,3]=>[3,6,8,7,4,1,5,2]
[3,5,1,4,8,6,2,7]=>[7,2,6,8,4,1,5,3]
[3,6,2,4,7,8,1,5]=>[5,1,8,7,4,2,6,3]
[5,6,2,4,8,7,1,3]=>[3,1,7,8,4,2,6,5]
[6,3,8,2,4,7,1,5]=>[5,1,7,4,2,8,3,6]
[6,5,8,7,2,3,1,4]=>[4,1,3,2,7,8,5,6]
[6,5,7,8,2,4,1,3]=>[3,1,4,2,8,7,5,6]
[6,3,4,2,8,5,1,7]=>[7,1,5,8,2,4,3,6]
[3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]
[4,6,8,1,3,5,2,7]=>[7,2,5,3,1,8,6,4]
[4,3,8,1,2,7,5,6]=>[6,5,7,2,1,8,3,4]
[3,6,4,1,7,2,5,8]=>[8,5,2,7,1,4,6,3]
[2,8,3,1,5,6,4,7]=>[7,4,6,5,1,3,8,2]
[3,8,7,1,5,4,2,6]=>[6,2,4,5,1,7,8,3]
[4,3,1,7,6,8,2,5]=>[5,2,8,6,7,1,3,4]
[3,4,1,7,5,6,8,2]=>[2,8,6,5,7,1,4,3]
[3,4,1,5,7,6,2,8]=>[8,2,6,7,5,1,4,3]
[3,7,4,1,6,2,8,5]=>[5,8,2,6,1,4,7,3]
[8,4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4,8]
[4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]
[2,8,6,1,5,3,7,4]=>[4,7,3,5,1,6,8,2]
[7,6,5,1,3,8,2,4]=>[4,2,8,3,1,5,6,7]
[7,6,5,1,3,4,8,2]=>[2,8,4,3,1,5,6,7]
[7,2,6,4,1,3,8,5]=>[5,8,3,1,4,6,2,7]
[6,7,5,2,1,3,8,4]=>[4,8,3,1,2,5,7,6]
[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]
[4,7,5,2,8,1,6,3]=>[3,6,1,8,2,5,7,4]
[2,6,4,3,1,5,7,8]=>[8,7,5,1,3,4,6,2]
[7,3,8,4,1,5,2,6]=>[6,2,5,1,4,8,3,7]
[7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]
[4,2,8,3,6,1,5,7]=>[7,5,1,6,3,8,2,4]
[6,8,5,7,2,1,3,4]=>[4,3,1,2,7,5,8,6]
[4,8,5,2,7,1,3,6]=>[6,3,1,7,2,5,8,4]
[6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]
[6,8,5,3,1,4,2,7]=>[7,2,4,1,3,5,8,6]
[3,6,5,4,2,8,1,7]=>[7,1,8,2,4,5,6,3]
[1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]
[1,6,4,8,2,5,3,7]=>[7,3,5,2,8,4,6,1]
[1,6,5,8,2,4,3,7]=>[7,3,4,2,8,5,6,1]
[1,6,8,2,4,3,7,5]=>[5,7,3,4,2,8,6,1]
[1,6,2,4,3,7,8,5]=>[5,8,7,3,4,2,6,1]
[1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]
[1,5,6,2,4,7,8,3]=>[3,8,7,4,2,6,5,1]
[1,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,1]
[1,5,7,2,4,8,3,6]=>[6,3,8,4,2,7,5,1]
[1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]
[1,6,7,2,4,3,8,5]=>[5,8,3,4,2,7,6,1]
[1,5,6,7,2,4,8,3]=>[3,8,4,2,7,6,5,1]
[1,5,8,2,4,6,7,3]=>[3,7,6,4,2,8,5,1]
[1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]
[1,5,7,8,3,2,4,6]=>[6,4,2,3,8,7,5,1]
[1,5,8,3,2,4,6,7]=>[7,6,4,2,3,8,5,1]
[1,5,6,2,4,8,3,7]=>[7,3,8,4,2,6,5,1]
[1,7,6,2,8,3,4,5]=>[5,4,3,8,2,6,7,1]
[1,7,3,4,2,8,6,5]=>[5,6,8,2,4,3,7,1]
[1,6,2,4,3,8,7,5]=>[5,7,8,3,4,2,6,1]
[1,5,6,2,4,8,7,3]=>[3,7,8,4,2,6,5,1]
[1,5,8,7,3,2,4,6]=>[6,4,2,3,7,8,5,1]
[1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]
[1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]
[1,6,5,2,3,8,7,4]=>[4,7,8,3,2,5,6,1]
[1,7,4,2,8,6,5,3]=>[3,5,6,8,2,4,7,1]
[1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]
[1,6,7,5,2,3,8,4]=>[4,8,3,2,5,7,6,1]
[1,7,5,2,8,4,3,6]=>[6,3,4,8,2,5,7,1]
[1,7,5,6,2,8,3,4]=>[4,3,8,2,6,5,7,1]
[1,5,7,6,2,4,8,3]=>[3,8,4,2,6,7,5,1]
[1,5,8,3,2,4,7,6]=>[6,7,4,2,3,8,5,1]
[1,6,5,2,3,7,4,8]=>[8,4,7,3,2,5,6,1]
[1,6,5,2,3,7,8,4]=>[4,8,7,3,2,5,6,1]
[1,6,8,4,2,3,7,5]=>[5,7,3,2,4,8,6,1]
[1,7,4,6,2,8,3,5]=>[5,3,8,2,6,4,7,1]
[1,7,3,5,2,8,4,6]=>[6,4,8,2,5,3,7,1]
[1,6,8,5,2,3,7,4]=>[4,7,3,2,5,8,6,1]
[1,6,4,2,3,7,8,5]=>[5,8,7,3,2,4,6,1]
[1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]
[1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]
[1,5,7,3,2,4,8,6]=>[6,8,4,2,3,7,5,1]
[1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]
[1,7,4,2,8,5,3,6]=>[6,3,5,8,2,4,7,1]
[1,6,7,4,2,3,8,5]=>[5,8,3,2,4,7,6,1]
[1,6,4,2,3,8,5,7]=>[7,5,8,3,2,4,6,1]
[1,7,6,4,2,8,5,3]=>[3,5,8,2,4,6,7,1]
[1,7,5,2,8,6,4,3]=>[3,4,6,8,2,5,7,1]
[1,6,4,2,3,8,7,5]=>[5,7,8,3,2,4,6,1]
[7,3,5,6,1,4,8,2]=>[2,8,4,1,6,5,3,7]
[3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]
[8,2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2,8]
[8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]
[3,6,1,4,2,8,5,7]=>[7,5,8,2,4,1,6,3]
[1,6,7,4,3,5,8,2]=>[2,8,5,3,4,7,6,1]
[6,7,1,4,3,5,8,2]=>[2,8,5,3,4,1,7,6]
[7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]
[3,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,3]
[4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]
[3,1,4,7,6,5,8,2]=>[2,8,5,6,7,4,1,3]
[6,1,7,4,3,5,8,2]=>[2,8,5,3,4,7,1,6]
[7,1,6,4,3,5,8,2]=>[2,8,5,3,4,6,1,7]
[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]
[8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]
[8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]
[4,7,1,3,8,2,5,6]=>[6,5,2,8,3,1,7,4]
[7,4,1,3,8,2,5,6]=>[6,5,2,8,3,1,4,7]
[1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]
[4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]
[4,7,8,1,2,6,5,3]=>[3,5,6,2,1,8,7,4]
[6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]
[1,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,1]
[4,8,1,3,7,2,5,6]=>[6,5,2,7,3,1,8,4]
[8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8]
[6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]
[1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]
[2,8,3,4,7,6,1,5]=>[5,1,6,7,4,3,8,2]
[3,7,8,4,6,2,1,5]=>[5,1,2,6,4,8,7,3]
[3,7,4,6,8,2,1,5]=>[5,1,2,8,6,4,7,3]
[2,4,3,7,8,6,1,5]=>[5,1,6,8,7,3,4,2]
[1,4,7,3,8,2,5,6]=>[6,5,2,8,3,7,4,1]
[5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]
[2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]
[3,7,5,4,8,2,1,6]=>[6,1,2,8,4,5,7,3]
[7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]
[6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]
[4,1,7,3,8,2,5,6]=>[6,5,2,8,3,7,1,4]
[8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]
[8,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,8]
[4,2,3,7,8,6,1,5]=>[5,1,6,8,7,3,2,4]
[5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]
[2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]
[5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]
[5,7,2,6,8,4,1,3]=>[3,1,4,8,6,2,7,5]
[7,2,5,6,8,4,1,3]=>[3,1,4,8,6,5,2,7]
[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]
[5,2,3,8,7,6,1,4]=>[4,1,6,7,8,3,2,5]
[8,2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2,8]
[6,1,8,3,7,2,5,4]=>[4,5,2,7,3,8,1,6]
[1,7,8,4,2,6,5,3]=>[3,5,6,2,4,8,7,1]
[4,7,1,8,2,5,6,3]=>[3,6,5,2,8,1,7,4]
[3,7,4,8,5,2,1,6]=>[6,1,2,5,8,4,7,3]
[2,4,3,8,5,6,1,7]=>[7,1,6,5,8,3,4,2]
[1,4,8,3,6,2,5,7]=>[7,5,2,6,3,8,4,1]
[7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]
[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]
[8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]
[2,5,3,8,7,6,1,4]=>[4,1,6,7,8,3,5,2]
[3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]
[3,7,8,6,5,2,1,4]=>[4,1,2,5,6,8,7,3]
[1,8,7,3,6,2,5,4]=>[4,5,2,6,3,7,8,1]
[6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]
[5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]
[3,7,6,8,4,5,1,2]=>[2,1,5,4,8,6,7,3]
[1,5,4,7,6,8,2,3]=>[3,2,8,6,7,4,5,1]
[1,7,4,6,5,8,2,3]=>[3,2,8,5,6,4,7,1]
[3,7,4,6,5,8,1,2]=>[2,1,8,5,6,4,7,3]
[3,5,4,8,6,7,1,2]=>[2,1,7,6,8,4,5,3]
[3,8,4,6,5,7,1,2]=>[2,1,7,5,6,4,8,3]
[3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]
[1,6,2,7,5,8,3,4]=>[4,3,8,5,7,2,6,1]
[1,6,4,8,5,7,2,3]=>[3,2,7,5,8,4,6,1]
[1,8,4,6,5,7,2,3]=>[3,2,7,5,6,4,8,1]
[1,5,4,8,6,7,2,3]=>[3,2,7,6,8,4,5,1]
[7,8,1,5,4,6,2,3]=>[3,2,6,4,5,1,8,7]
[7,8,1,5,2,4,3,6]=>[6,3,4,2,5,1,8,7]
[1,8,2,6,5,7,3,4]=>[4,3,7,5,6,2,8,1]
[1,7,2,8,5,6,3,4]=>[4,3,6,5,8,2,7,1]
[1,7,2,6,5,8,3,4]=>[4,3,8,5,6,2,7,1]
[1,5,2,7,6,8,3,4]=>[4,3,8,6,7,2,5,1]
[1,7,6,8,2,5,3,4]=>[4,3,5,2,8,6,7,1]
[1,7,6,8,4,5,2,3]=>[3,2,5,4,8,6,7,1]
[5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]
[7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]
[5,8,6,7,1,3,2,4]=>[4,2,3,1,7,6,8,5]
[1,3,2,7,6,8,4,5]=>[5,4,8,6,7,2,3,1]
[1,7,6,8,2,4,3,5]=>[5,3,4,2,8,6,7,1]
[7,8,1,3,2,6,4,5]=>[5,4,6,2,3,1,8,7]
[7,8,1,6,2,4,3,5]=>[5,3,4,2,6,1,8,7]
[1,8,6,7,2,4,3,5]=>[5,3,4,2,7,6,8,1]
[7,8,1,4,2,6,3,5]=>[5,3,6,2,4,1,8,7]
[7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]
[7,8,2,1,4,3,6,5]=>[5,6,3,4,1,2,8,7]
[7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]
[4,3,6,5,8,7,1,2]=>[2,1,7,8,5,6,3,4]
[3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]
[1,6,2,3,8,7,4,5]=>[5,4,7,8,3,2,6,1]
[1,7,4,3,2,8,6,5]=>[5,6,8,2,3,4,7,1]
[1,4,7,6,2,5,8,3]=>[3,8,5,2,6,7,4,1]
[1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1]
[1,2,6,5,3,7,8,4]=>[4,8,7,3,5,6,2,1]
[1,3,7,5,2,6,8,4]=>[4,8,6,2,5,7,3,1]
[1,3,7,4,2,6,8,5]=>[5,8,6,2,4,7,3,1]
[1,2,6,4,3,7,8,5]=>[5,8,7,3,4,6,2,1]
[1,2,6,4,3,7,5,8]=>[8,5,7,3,4,6,2,1]
[1,4,7,3,2,5,8,6]=>[6,8,5,2,3,7,4,1]
[1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]
[1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]
[1,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,1]
[1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]
[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]
[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]
[7,1,5,4,3,8,6,2]=>[2,6,8,3,4,5,1,7]
[3,6,5,4,8,1,7,2]=>[2,7,1,8,4,5,6,3]
[6,8,1,4,3,2,7,5]=>[5,7,2,3,4,1,8,6]
[2,8,5,4,3,7,1,6]=>[6,1,7,3,4,5,8,2]
[7,6,1,4,3,8,5,2]=>[2,5,8,3,4,1,6,7]
[4,6,5,8,3,1,7,2]=>[2,7,1,3,8,5,6,4]
[6,8,5,1,3,2,7,4]=>[4,7,2,3,1,5,8,6]
[1,8,2,4,3,7,6,5]=>[5,6,7,3,4,2,8,1]
[3,8,5,4,7,2,1,6]=>[6,1,2,7,4,5,8,3]
[7,6,5,1,3,8,4,2]=>[2,4,8,3,1,5,6,7]
[1,6,3,4,8,7,5,2]=>[2,5,7,8,4,3,6,1]
[1,4,5,8,3,7,6,2]=>[2,6,7,3,8,5,4,1]
[6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]
[1,8,5,2,3,7,6,4]=>[4,6,7,3,2,5,8,1]
[6,8,2,4,3,7,1,5]=>[5,1,7,3,4,2,8,6]
[1,8,3,4,7,2,6,5]=>[5,6,2,7,4,3,8,1]
[7,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]
[4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]
[5,1,7,6,8,4,3,2]=>[2,3,4,8,6,7,1,5]
[6,4,8,5,2,7,1,3]=>[3,1,7,2,5,8,4,6]
[5,1,8,6,7,4,3,2]=>[2,3,4,7,6,8,1,5]
[8,4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4,8]
[5,4,6,8,2,1,7,3]=>[3,7,1,2,8,6,4,5]
[6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]
[7,4,6,5,2,1,8,3]=>[3,8,1,2,5,6,4,7]
[8,4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4,8]
[4,8,7,5,6,1,3,2]=>[2,3,1,6,5,7,8,4]
[2,7,5,1,8,4,3,6]=>[6,3,4,8,1,5,7,2]
[5,1,8,7,4,2,3,6]=>[6,3,2,4,7,8,1,5]
[2,8,6,7,4,3,5,1]=>[1,5,3,4,7,6,8,2]
[3,6,5,2,4,1,8,7]=>[7,8,1,4,2,5,6,3]
[5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]
[6,1,4,5,3,2,8,7]=>[7,8,2,3,5,4,1,6]
[3,8,7,1,4,6,5,2]=>[2,5,6,4,1,7,8,3]
[5,7,1,2,4,3,8,6]=>[6,8,3,4,2,1,7,5]
[4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]
[5,3,6,8,1,7,2,4]=>[4,2,7,1,8,6,3,5]
[3,2,6,8,5,7,1,4]=>[4,1,7,5,8,6,2,3]
[6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]
[7,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,7]
[7,1,8,2,5,4,3,6]=>[6,3,4,5,2,8,1,7]
[2,5,3,7,4,1,8,6]=>[6,8,1,4,7,3,5,2]
[3,6,4,7,5,1,8,2]=>[2,8,1,5,7,4,6,3]
[8,4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4,8]
[8,4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4,8]
[4,2,8,7,3,5,6,1]=>[1,6,5,3,7,8,2,4]
[8,1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1,8]
[7,4,3,8,2,5,6,1]=>[1,6,5,2,8,3,4,7]
[6,4,1,5,8,2,7,3]=>[3,7,2,8,5,1,4,6]
[2,5,8,7,3,6,1,4]=>[4,1,6,3,7,8,5,2]
[2,1,5,8,7,4,6,3]=>[3,6,4,7,8,5,1,2]
[8,3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3,8]
[7,4,3,2,8,5,6,1]=>[1,6,5,8,2,3,4,7]
[4,2,7,1,8,5,6,3]=>[3,6,5,8,1,7,2,4]
[4,1,7,2,8,5,6,3]=>[3,6,5,8,2,7,1,4]
[2,4,8,7,3,5,6,1]=>[1,6,5,3,7,8,4,2]
[4,7,8,3,1,5,6,2]=>[2,6,5,1,3,8,7,4]
[3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]
[3,7,1,4,8,5,6,2]=>[2,6,5,8,4,1,7,3]
[7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]
[6,1,8,5,2,7,4,3]=>[3,4,7,2,5,8,1,6]
[2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]
[2,1,8,3,6,7,5,4]=>[4,5,7,6,3,8,1,2]
[8,2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2,8]
[7,8,2,6,4,1,5,3]=>[3,5,1,4,6,2,8,7]
[2,6,3,5,8,7,1,4]=>[4,1,7,8,5,3,6,2]
[7,6,2,1,5,8,4,3]=>[3,4,8,5,1,2,6,7]
[4,5,2,7,6,1,8,3]=>[3,8,1,6,7,2,5,4]
[5,1,6,8,4,7,2,3]=>[3,2,7,4,8,6,1,5]
[3,6,8,7,5,2,1,4]=>[4,1,2,5,7,8,6,3]
[7,4,8,6,5,2,3,1]=>[1,3,2,5,6,8,4,7]
[8,1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1,8]
[7,6,4,1,2,3,8,5]=>[5,8,3,2,1,4,6,7]
[2,6,4,8,5,3,7,1]=>[1,7,3,5,8,4,6,2]
[7,3,5,8,4,2,1,6]=>[6,1,2,4,8,5,3,7]
[3,2,5,8,4,1,7,6]=>[6,7,1,4,8,5,2,3]
[8,4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4,8]
[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]
[6,1,4,8,7,3,5,2]=>[2,5,3,7,8,4,1,6]
[7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]
[4,7,8,1,3,5,6,2]=>[2,6,5,3,1,8,7,4]
[8,7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7,8]
[4,8,2,7,3,5,6,1]=>[1,6,5,3,7,2,8,4]
[3,1,8,7,2,5,6,4]=>[4,6,5,2,7,8,1,3]
[3,8,1,7,2,5,6,4]=>[4,6,5,2,7,1,8,3]
[8,2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2,8]
[6,4,8,7,1,3,2,5]=>[5,2,3,1,7,8,4,6]
[2,8,4,6,7,3,1,5]=>[5,1,3,7,6,4,8,2]
[4,3,8,2,7,6,1,5]=>[5,1,6,7,2,8,3,4]
[6,8,4,2,1,3,7,5]=>[5,7,3,1,2,4,8,6]
[7,8,2,4,3,5,6,1]=>[1,6,5,3,4,2,8,7]
[2,8,3,7,1,5,6,4]=>[4,6,5,1,7,3,8,2]
[8,1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1,8]
[6,4,1,3,2,8,5,7]=>[7,5,8,2,3,1,4,6]
[5,3,8,6,2,1,4,7]=>[7,4,1,2,6,8,3,5]
[4,6,5,2,8,3,1,7]=>[7,1,3,8,2,5,6,4]
[4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]
[6,8,5,2,7,4,3,1]=>[1,3,4,7,2,5,8,6]
[7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]
[3,6,8,1,4,5,2,7]=>[7,2,5,4,1,8,6,3]
[6,8,1,2,4,5,3,7]=>[7,3,5,4,2,1,8,6]
[8,1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1,8]
[3,8,6,1,2,5,4,7]=>[7,4,5,2,1,6,8,3]
[5,8,1,6,2,3,4,7]=>[7,4,3,2,6,1,8,5]
[4,1,6,5,8,2,3,7]=>[7,3,2,8,5,6,1,4]
[4,3,8,6,2,5,1,7]=>[7,1,5,2,6,8,3,4]
[8,3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3,8]
[2,3,6,8,4,5,1,7]=>[7,1,5,4,8,6,3,2]
[2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]
[6,3,8,7,4,2,5,1]=>[1,5,2,4,7,8,3,6]
[5,8,4,3,7,6,1,2]=>[2,1,6,7,3,4,8,5]
[8,7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7,8]
[1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]
[7,1,5,3,4,8,2,6]=>[6,2,8,4,3,5,1,7]
[2,8,6,1,7,4,5,3]=>[3,5,4,7,1,6,8,2]
[4,8,6,5,7,2,1,3]=>[3,1,2,7,5,6,8,4]
[4,7,6,8,2,1,5,3]=>[3,5,1,2,8,6,7,4]
[6,1,8,7,4,3,5,2]=>[2,5,3,4,7,8,1,6]
[8,5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5,8]
[1,5,8,6,3,4,7,2]=>[2,7,4,3,6,8,5,1]
[2,5,8,6,3,4,7,1]=>[1,7,4,3,6,8,5,2]
[4,1,3,8,5,6,7,2]=>[2,7,6,5,8,3,1,4]
[6,5,8,4,3,1,7,2]=>[2,7,1,3,4,8,5,6]
[4,6,5,2,8,1,7,3]=>[3,7,1,8,2,5,6,4]
[7,2,8,1,3,6,4,5]=>[5,4,6,3,1,8,2,7]
[1,8,5,2,3,6,7,4]=>[4,7,6,3,2,5,8,1]
[1,8,3,2,5,6,7,4]=>[4,7,6,5,2,3,8,1]
[2,8,3,1,5,6,7,4]=>[4,7,6,5,1,3,8,2]
[4,8,3,2,5,6,7,1]=>[1,7,6,5,2,3,8,4]
[8,2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2,8]
[2,1,8,3,5,6,7,4]=>[4,7,6,5,3,8,1,2]
[1,4,8,2,3,6,7,5]=>[5,7,6,3,2,8,4,1]
[3,1,2,7,8,6,4,5]=>[5,4,6,8,7,2,1,3]
[7,5,1,8,2,4,3,6]=>[6,3,4,2,8,1,5,7]
[3,5,8,1,2,4,7,6]=>[6,7,4,2,1,8,5,3]
[4,5,8,1,2,3,7,6]=>[6,7,3,2,1,8,5,4]
[4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]
[3,8,4,1,2,6,7,5]=>[5,7,6,2,1,4,8,3]
[5,4,8,2,3,6,7,1]=>[1,7,6,3,2,8,4,5]
[5,8,3,6,7,4,1,2]=>[2,1,4,7,6,3,8,5]
[2,3,1,6,8,4,7,5]=>[5,7,4,8,6,1,3,2]
[2,4,3,7,1,8,5,6]=>[6,5,8,1,7,3,4,2]
[1,4,7,3,2,8,5,6]=>[6,5,8,2,3,7,4,1]
[2,7,1,4,3,8,5,6]=>[6,5,8,3,4,1,7,2]
[2,4,1,8,6,3,7,5]=>[5,7,3,6,8,1,4,2]
[8,4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4,8]
[6,8,5,1,7,2,3,4]=>[4,3,2,7,1,5,8,6]
[7,3,6,5,8,2,1,4]=>[4,1,2,8,5,6,3,7]
[7,6,3,5,8,2,1,4]=>[4,1,2,8,5,3,6,7]
[4,5,8,7,3,6,1,2]=>[2,1,6,3,7,8,5,4]
[3,5,2,8,6,1,7,4]=>[4,7,1,6,8,2,5,3]
[8,2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2,8]
[8,6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6,8]
[2,6,1,8,3,7,5,4]=>[4,5,7,3,8,1,6,2]
[4,7,1,6,2,8,5,3]=>[3,5,8,2,6,1,7,4]
[6,1,5,3,8,7,2,4]=>[4,2,7,8,3,5,1,6]
[2,8,6,3,7,1,5,4]=>[4,5,1,7,3,6,8,2]
[7,6,1,5,8,2,3,4]=>[4,3,2,8,5,1,6,7]
[3,6,8,5,1,2,7,4]=>[4,7,2,1,5,8,6,3]
[6,5,2,4,8,1,7,3]=>[3,7,1,8,4,2,5,6]
[5,1,4,8,2,6,7,3]=>[3,7,6,2,8,4,1,5]
[4,8,2,5,1,6,7,3]=>[3,7,6,1,5,2,8,4]
[3,4,8,5,2,6,7,1]=>[1,7,6,2,5,8,4,3]
[4,2,1,8,5,6,7,3]=>[3,7,6,5,8,1,2,4]
[1,5,4,8,2,6,7,3]=>[3,7,6,2,8,4,5,1]
[7,2,1,5,8,6,3,4]=>[4,3,6,8,5,1,2,7]
[2,8,4,5,1,6,7,3]=>[3,7,6,1,5,4,8,2]
[5,4,8,3,7,6,1,2]=>[2,1,6,7,3,8,4,5]
[3,1,5,8,6,2,7,4]=>[4,7,2,6,8,5,1,3]
[6,3,4,8,5,1,7,2]=>[2,7,1,5,8,4,3,6]
[5,3,4,8,1,6,7,2]=>[2,7,6,1,8,4,3,5]
[7,6,1,2,8,3,5,4]=>[4,5,3,8,2,1,6,7]
[7,5,8,4,1,2,6,3]=>[3,6,2,1,4,8,5,7]
[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]
[6,5,4,8,7,1,3,2]=>[2,3,1,7,8,4,5,6]
[6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]
[7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]
[7,5,1,6,8,2,4,3]=>[3,4,2,8,6,1,5,7]
[6,5,4,1,8,2,7,3]=>[3,7,2,8,1,4,5,6]
[6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]
[6,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,6]
[6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]
[6,5,3,1,8,4,2,7]=>[7,2,4,8,1,3,5,6]
[7,5,1,4,8,3,2,6]=>[6,2,3,8,4,1,5,7]
[8,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,8]
[7,5,1,4,8,3,6,2]=>[2,6,3,8,4,1,5,7]
[6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]
[6,4,3,1,5,8,7,2]=>[2,7,8,5,1,3,4,6]
[7,4,1,5,3,8,6,2]=>[2,6,8,3,5,1,4,7]
[8,1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1,8]
[8,1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1,8]
[7,4,1,5,3,8,2,6]=>[6,2,8,3,5,1,4,7]
[7,4,1,5,3,2,6,8]=>[8,6,2,3,5,1,4,7]
[8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]
[8,1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1,8]
[6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]
[6,5,3,8,1,4,2,7]=>[7,2,4,1,8,3,5,6]
[7,6,8,1,4,3,2,5]=>[5,2,3,4,1,8,6,7]
[8,1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1,8]
[8,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,8]
[7,6,1,2,5,4,8,3]=>[3,8,4,5,2,1,6,7]
[6,5,3,8,1,4,7,2]=>[2,7,4,1,8,3,5,6]
[6,5,3,1,2,7,8,4]=>[4,8,7,2,1,3,5,6]
[7,5,1,4,2,6,8,3]=>[3,8,6,2,4,1,5,7]
[8,1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1,8]
[7,4,1,5,3,2,8,6]=>[6,8,2,3,5,1,4,7]
[6,4,3,1,5,2,8,7]=>[7,8,2,5,1,3,4,6]
[6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]
[7,4,1,5,3,6,2,8]=>[8,2,6,3,5,1,4,7]
[8,1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1,8]
[8,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,8]
[7,4,1,5,3,6,8,2]=>[2,8,6,3,5,1,4,7]
[6,4,3,1,5,7,8,2]=>[2,8,7,5,1,3,4,6]
[6,7,3,8,4,5,1,2]=>[2,1,5,4,8,3,7,6]
[4,7,5,6,2,3,1,8]=>[8,1,3,2,6,5,7,4]
[4,7,5,6,1,8,2,3]=>[3,2,8,1,6,5,7,4]
[4,7,5,6,3,8,1,2]=>[2,1,8,3,6,5,7,4]
[3,7,5,8,4,6,1,2]=>[2,1,6,4,8,5,7,3]
[4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]
[4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]
[5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]
[5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]
[5,6,1,8,2,7,3,4]=>[4,3,7,2,8,1,6,5]
[5,6,1,8,4,7,2,3]=>[3,2,7,4,8,1,6,5]
[4,8,1,6,5,7,2,3]=>[3,2,7,5,6,1,8,4]
[4,5,1,8,6,7,2,3]=>[3,2,7,6,8,1,5,4]
[7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]
[4,8,2,3,1,6,5,7]=>[7,5,6,1,3,2,8,4]
[5,6,2,8,1,4,3,7]=>[7,3,4,1,8,2,6,5]
[5,6,3,4,1,8,2,7]=>[7,2,8,1,4,3,6,5]
[3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]
[3,6,4,5,1,8,2,7]=>[7,2,8,1,5,4,6,3]
[2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]
[2,8,3,6,1,5,4,7]=>[7,4,5,1,6,3,8,2]
[2,8,3,4,1,6,5,7]=>[7,5,6,1,4,3,8,2]
[7,8,2,5,3,4,1,6]=>[6,1,4,3,5,2,8,7]
[7,8,1,5,3,6,2,4]=>[4,2,6,3,5,1,8,7]
[1,5,3,8,6,7,2,4]=>[4,2,7,6,8,3,5,1]
[1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]
[1,6,4,8,2,7,3,5]=>[5,3,7,2,8,4,6,1]
[2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]
[2,7,3,6,4,5,1,8]=>[8,1,5,4,6,3,7,2]
[1,7,3,6,4,8,2,5]=>[5,2,8,4,6,3,7,1]
[1,7,2,8,4,6,3,5]=>[5,3,6,4,8,2,7,1]
[1,7,5,8,4,6,2,3]=>[3,2,6,4,8,5,7,1]
[1,7,5,8,2,6,3,4]=>[4,3,6,2,8,5,7,1]
[1,7,5,6,3,8,2,4]=>[4,2,8,3,6,5,7,1]
[2,7,5,6,3,4,1,8]=>[8,1,4,3,6,5,7,2]
[6,7,2,5,3,4,1,8]=>[8,1,4,3,5,2,7,6]
[6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]
[6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]
[5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]
[6,7,2,3,1,8,4,5]=>[5,4,8,1,3,2,7,6]
[6,7,2,8,1,4,3,5]=>[5,3,4,1,8,2,7,6]
[3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]
[3,4,1,7,5,8,2,6]=>[6,2,8,5,7,1,4,3]
[2,7,5,8,1,4,3,6]=>[6,3,4,1,8,5,7,2]
[2,3,1,7,5,8,4,6]=>[6,4,8,5,7,1,3,2]
[2,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,2]
[7,8,2,3,1,6,4,5]=>[5,4,6,1,3,2,8,7]
[7,8,2,6,1,4,3,5]=>[5,3,4,1,6,2,8,7]
[2,8,6,7,1,4,3,5]=>[5,3,4,1,7,6,8,2]
[2,8,1,4,3,7,5,6]=>[6,5,7,3,4,1,8,2]
[3,7,2,5,4,6,1,8]=>[8,1,6,4,5,2,7,3]
[4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]
[4,5,1,8,2,7,3,6]=>[6,3,7,2,8,1,5,4]
[3,4,1,8,2,7,5,6]=>[6,5,7,2,8,1,4,3]
[3,4,1,8,6,7,2,5]=>[5,2,7,6,8,1,4,3]
[3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]
[3,4,2,8,1,6,5,7]=>[7,5,6,1,8,2,4,3]
[3,8,2,5,1,6,4,7]=>[7,4,6,1,5,2,8,3]
[4,5,2,8,1,6,3,7]=>[7,3,6,1,8,2,5,4]
[4,5,3,6,1,8,2,7]=>[7,2,8,1,6,3,5,4]
[7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]
[8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]
[8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]
[8,6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6,8]
[7,6,1,8,3,5,2,4]=>[4,2,5,3,8,1,6,7]
[7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]
[7,6,8,2,4,5,1,3]=>[3,1,5,4,2,8,6,7]
[7,6,2,8,3,5,1,4]=>[4,1,5,3,8,2,6,7]
[7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]
[8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]
[8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]
[8,5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5,8]
[8,6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6,8]
[8,6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6,8]
[8,6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6,8]
[6,8,7,3,4,1,5,2]=>[2,5,1,4,3,7,8,6]
[8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]
[8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]
[8,4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4,8]
[8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]
[8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]
[5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]
[5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]
[8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]
[8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]
[8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]
[8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]
[8,7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7,8]
[8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]
[8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]
[8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]
[8,5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5,8]
[8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]
[8,5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5,8]
[8,1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1,8]
[8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]
[6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]
[5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5]
[5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]
[8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]
[8,4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4,8]
[8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]
[8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]
[8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]
[4,8,6,3,5,1,2,7]=>[7,2,1,5,3,6,8,4]
[4,8,7,3,1,5,2,6]=>[6,2,5,1,3,7,8,4]
[8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]
[8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]
[8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]
[8,7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7,8]
[8,7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7,8]
[8,7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7,8]
[8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]
[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]
[8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]
[8,3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3,8]
[8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]
[3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]
[8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]
[8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]
[8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]
[3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]
[3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]
[4,7,5,8,6,2,1,3]=>[3,1,2,6,8,5,7,4]
[2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]
[4,8,5,7,6,3,1,2]=>[2,1,3,6,7,5,8,4]
[4,6,3,2,1,5,8,7]=>[7,8,5,1,2,3,6,4]
[6,2,1,5,3,4,8,7]=>[7,8,4,3,5,1,2,6]
[5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]
[4,7,2,3,6,1,8,5]=>[5,8,1,6,3,2,7,4]
[3,7,4,2,8,1,5,6]=>[6,5,1,8,2,4,7,3]
[4,2,6,8,5,7,3,1]=>[1,3,7,5,8,6,2,4]
[6,4,2,7,3,8,5,1]=>[1,5,8,3,7,2,4,6]
[8,1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1,8]
[2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]
[2,1,4,7,6,3,8,5]=>[5,8,3,6,7,4,1,2]
[6,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,6]
[4,1,3,7,6,2,8,5]=>[5,8,2,6,7,3,1,4]
[8,5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5,8]
[6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]
[3,2,6,8,4,7,5,1]=>[1,5,7,4,8,6,2,3]
[8,4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4,8]
[4,2,8,6,7,3,1,5]=>[5,1,3,7,6,8,2,4]
[7,4,3,8,2,1,5,6]=>[6,5,1,2,8,3,4,7]
[4,7,5,8,1,6,3,2]=>[2,3,6,1,8,5,7,4]
[6,4,3,2,7,8,1,5]=>[5,1,8,7,2,3,4,6]
[4,2,5,1,6,7,8,3]=>[3,8,7,6,1,5,2,4]
[2,4,8,5,7,1,3,6]=>[6,3,1,7,5,8,4,2]
[3,7,1,4,6,8,5,2]=>[2,5,8,6,4,1,7,3]
[7,8,2,5,6,1,4,3]=>[3,4,1,6,5,2,8,7]
[2,4,3,8,7,5,6,1]=>[1,6,5,7,8,3,4,2]
[2,6,7,3,5,1,8,4]=>[4,8,1,5,3,7,6,2]
[7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]
[8,5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5,8]
[6,5,7,2,8,4,3,1]=>[1,3,4,8,2,7,5,6]
[3,4,8,6,5,2,1,7]=>[7,1,2,5,6,8,4,3]
[2,7,6,1,4,5,8,3]=>[3,8,5,4,1,6,7,2]
[6,5,8,2,1,7,3,4]=>[4,3,7,1,2,8,5,6]
[7,4,3,5,1,6,8,2]=>[2,8,6,1,5,3,4,7]
[4,1,6,3,5,8,7,2]=>[2,7,8,5,3,6,1,4]
[6,2,5,8,4,3,7,1]=>[1,7,3,4,8,5,2,6]
[8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]
[2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]
[2,1,6,8,5,4,3,7]=>[7,3,4,5,8,6,1,2]
[4,1,8,5,6,2,3,7]=>[7,3,2,6,5,8,1,4]
[2,6,4,8,7,3,5,1]=>[1,5,3,7,8,4,6,2]
[6,2,8,4,3,5,1,7]=>[7,1,5,3,4,8,2,6]
[4,8,2,7,6,1,3,5]=>[5,3,1,6,7,2,8,4]
[3,1,8,2,7,5,4,6]=>[6,4,5,7,2,8,1,3]
[3,8,1,2,6,7,4,5]=>[5,4,7,6,2,1,8,3]
[5,8,4,3,2,7,1,6]=>[6,1,7,2,3,4,8,5]
[7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]
[5,8,4,7,2,1,3,6]=>[6,3,1,2,7,4,8,5]
[2,1,8,4,3,7,5,6]=>[6,5,7,3,4,8,1,2]
[6,3,8,2,4,5,7,1]=>[1,7,5,4,2,8,3,6]
[5,8,4,2,3,6,1,7]=>[7,1,6,3,2,4,8,5]
[5,8,2,4,3,1,6,7]=>[7,6,1,3,4,2,8,5]
[2,8,3,1,6,4,5,7]=>[7,5,4,6,1,3,8,2]
[8,2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2,8]
[1,4,8,2,6,3,5,7]=>[7,5,3,6,2,8,4,1]
[1,2,7,3,5,4,8,6]=>[6,8,4,5,3,7,2,1]
[1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]
[1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]
[1,3,8,2,6,4,5,7]=>[7,5,4,6,2,8,3,1]
[1,5,7,2,3,6,4,8]=>[8,4,6,3,2,7,5,1]
[1,7,2,3,5,4,8,6]=>[6,8,4,5,3,2,7,1]
[1,3,8,2,4,5,7,6]=>[6,7,5,4,2,8,3,1]
[1,2,3,8,4,6,7,5]=>[5,7,6,4,8,3,2,1]
[1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1]
[1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]
[1,6,7,8,2,3,5,4]=>[4,5,3,2,8,7,6,1]
[1,7,8,2,5,3,6,4]=>[4,6,3,5,2,8,7,1]
[1,7,8,2,4,5,3,6]=>[6,3,5,4,2,8,7,1]
[1,2,8,3,6,4,5,7]=>[7,5,4,6,3,8,2,1]
[1,8,2,3,6,4,5,7]=>[7,5,4,6,3,2,8,1]
[1,2,8,3,5,4,6,7]=>[7,6,4,5,3,8,2,1]
[1,2,7,8,3,6,4,5]=>[5,4,6,3,8,7,2,1]
[1,5,2,7,8,3,6,4]=>[4,6,3,8,7,2,5,1]
[1,3,2,8,4,6,7,5]=>[5,7,6,4,8,2,3,1]
[1,8,2,3,4,6,7,5]=>[5,7,6,4,3,2,8,1]
[1,7,8,2,4,3,6,5]=>[5,6,3,4,2,8,7,1]
[7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]
[6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]
[6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]
[6,8,4,5,1,2,7,3]=>[3,7,2,1,5,4,8,6]
[6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]
[7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]
[7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]
[7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]
[6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]
[5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]
[5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]
[5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]
[6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]
[6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]
[6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]
[6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]
[6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]
[6,5,8,4,1,2,7,3]=>[3,7,2,1,4,8,5,6]
[5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]
[4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]
[4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]
[5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]
[5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]
[5,2,1,8,6,7,3,4]=>[4,3,7,6,8,1,2,5]
[5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]
[5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]
[4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]
[4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]
[4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]
[4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]
[4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]
[4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]
[5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]
[5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]
[5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]
[5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]
[5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]
[6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]
[5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]
[5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]
[5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]
[5,4,6,8,1,7,2,3]=>[3,2,7,1,8,6,4,5]
[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]
[4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]
[4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]
[4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]
[4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]
[4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]
[4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]
[5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]
[5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]
[5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]
[5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]
[5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]
[4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]
[4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]
[4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]
[2,5,4,7,3,6,1,8]=>[8,1,6,3,7,4,5,2]
[2,4,6,3,7,5,1,8]=>[8,1,5,7,3,6,4,2]
[4,2,7,3,6,5,1,8]=>[8,1,5,6,3,7,2,4]
[4,2,6,3,1,5,8,7]=>[7,8,5,1,3,6,2,4]
[2,5,3,1,6,4,8,7]=>[7,8,4,6,1,3,5,2]
[2,5,3,7,6,4,1,8]=>[8,1,4,6,7,3,5,2]
[2,6,5,3,7,4,1,8]=>[8,1,4,7,3,5,6,2]
[4,2,7,6,3,5,1,8]=>[8,1,5,3,6,7,2,4]
[2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]
[2,6,3,7,5,4,1,8]=>[8,1,4,5,7,3,6,2]
[1,7,5,2,3,8,4,6]=>[6,4,8,3,2,5,7,1]
[2,1,3,7,5,4,8,6]=>[6,8,4,5,7,3,1,2]
[2,3,1,8,6,5,4,7]=>[7,4,5,6,8,1,3,2]
[2,5,3,1,8,6,4,7]=>[7,4,6,8,1,3,5,2]
[4,2,8,3,1,6,5,7]=>[7,5,6,1,3,8,2,4]
[8,3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3,8]
[3,6,8,2,1,4,5,7]=>[7,5,4,1,2,8,6,3]
[1,5,2,8,3,4,7,6]=>[6,7,4,3,8,2,5,1]
[1,2,6,3,8,7,4,5]=>[5,4,7,8,3,6,2,1]
[1,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,1]
[1,2,7,6,3,4,8,5]=>[5,8,4,3,6,7,2,1]
[2,1,3,8,7,5,4,6]=>[6,4,5,7,8,3,1,2]
[1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]
[1,2,3,7,4,8,6,5]=>[5,6,8,4,7,3,2,1]
[1,2,7,6,3,8,4,5]=>[5,4,8,3,6,7,2,1]
[1,2,3,6,4,8,7,5]=>[5,7,8,4,6,3,2,1]
[1,2,3,7,6,4,8,5]=>[5,8,4,6,7,3,2,1]
[2,6,3,1,8,5,4,7]=>[7,4,5,8,1,3,6,2]
[2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]
[7,1,8,4,2,3,5,6]=>[6,5,3,2,4,8,1,7]
[2,1,8,4,3,5,7,6]=>[6,7,5,3,4,8,1,2]
[4,2,6,3,1,8,5,7]=>[7,5,8,1,3,6,2,4]
[5,4,2,8,3,1,6,7]=>[7,6,1,3,8,2,4,5]
[3,5,8,2,4,1,6,7]=>[7,6,1,4,2,8,5,3]
[2,5,4,8,3,1,6,7]=>[7,6,1,3,8,4,5,2]
[4,2,1,8,3,5,7,6]=>[6,7,5,3,8,1,2,4]
[1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]
[1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1]
[1,2,7,3,6,4,8,5]=>[5,8,4,6,3,7,2,1]
[1,2,8,6,3,7,4,5]=>[5,4,7,3,6,8,2,1]
[1,2,7,3,8,6,4,5]=>[5,4,6,8,3,7,2,1]
[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]
[1,2,7,3,4,8,6,5]=>[5,6,8,4,3,7,2,1]
[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]
[1,5,2,3,8,7,4,6]=>[6,4,7,8,3,2,5,1]
[4,2,1,8,3,7,5,6]=>[6,5,7,3,8,1,2,4]
[8,3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3,8]
[1,8,4,2,7,3,5,6]=>[6,5,3,7,2,4,8,1]
[1,2,8,6,3,4,7,5]=>[5,7,4,3,6,8,2,1]
[1,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,1]
[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]
[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]
[2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]
[2,6,4,7,1,5,3,8]=>[8,3,5,1,7,4,6,2]
[2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]
[3,8,5,7,2,6,4,1]=>[1,4,6,2,7,5,8,3]
[3,4,8,6,1,2,5,7]=>[7,5,2,1,6,8,4,3]
[2,5,7,1,4,8,6,3]=>[3,6,8,4,1,7,5,2]
[2,4,8,1,5,7,6,3]=>[3,6,7,5,1,8,4,2]
[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]
[2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]
[2,3,8,1,6,5,7,4]=>[4,7,5,6,1,8,3,2]
[2,4,8,1,3,5,7,6]=>[6,7,5,3,1,8,4,2]
[3,5,7,6,1,2,4,8]=>[8,4,2,1,6,7,5,3]
[3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]
[4,8,6,7,2,3,5,1]=>[1,5,3,2,7,6,8,4]
[4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4]
[4,8,6,7,1,3,5,2]=>[2,5,3,1,7,6,8,4]
[3,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,3]
[3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]
[3,2,8,5,6,1,7,4]=>[4,7,1,6,5,8,2,3]
[3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]
[3,4,8,6,2,1,5,7]=>[7,5,1,2,6,8,4,3]
[3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]
[4,8,6,7,2,1,3,5]=>[5,3,1,2,7,6,8,4]
[4,8,6,7,3,5,2,1]=>[1,2,5,3,7,6,8,4]
[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]
[5,8,6,7,2,1,3,4]=>[4,3,1,2,7,6,8,5]
[5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]
[4,8,6,7,2,1,5,3]=>[3,5,1,2,7,6,8,4]
[4,3,1,7,5,2,8,6]=>[6,8,2,5,7,1,3,4]
[4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]
[4,3,8,5,1,6,7,2]=>[2,7,6,1,5,8,3,4]
[4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]
[5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]
[5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]
[5,8,6,7,2,4,3,1]=>[1,3,4,2,7,6,8,5]
[5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]
[4,2,3,8,5,1,6,7]=>[7,6,1,5,8,3,2,4]
[4,2,8,5,1,7,6,3]=>[3,6,7,1,5,8,2,4]
[3,4,2,8,5,6,1,7]=>[7,1,6,5,8,2,4,3]
[3,2,4,8,6,1,5,7]=>[7,5,1,6,8,4,2,3]
[3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]
[4,8,6,7,1,3,2,5]=>[5,2,3,1,7,6,8,4]
[4,8,6,7,1,2,5,3]=>[3,5,2,1,7,6,8,4]
[4,8,6,7,2,5,3,1]=>[1,3,5,2,7,6,8,4]
[4,3,8,5,2,6,7,1]=>[1,7,6,2,5,8,3,4]
[4,3,8,5,1,2,6,7]=>[7,6,2,1,5,8,3,4]
[4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]
[3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]
[3,8,4,7,1,5,2,6]=>[6,2,5,1,7,4,8,3]
[3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]
[3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]
[3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]
[4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]
[4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]
[4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]
[4,8,6,7,3,2,5,1]=>[1,5,2,3,7,6,8,4]
[4,8,6,7,3,1,2,5]=>[5,2,1,3,7,6,8,4]
[3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]
[3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]
[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]
[4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]
[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]
[5,8,6,7,3,2,4,1]=>[1,4,2,3,7,6,8,5]
[5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]
[5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]
[5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]
[5,8,6,7,3,1,4,2]=>[2,4,1,3,7,6,8,5]
[4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]
[4,1,6,7,5,3,8,2]=>[2,8,3,5,7,6,1,4]
[4,1,7,5,3,2,8,6]=>[6,8,2,3,5,7,1,4]
[4,2,8,5,3,1,7,6]=>[6,7,1,3,5,8,2,4]
[4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]
[4,8,6,7,3,2,1,5]=>[5,1,2,3,7,6,8,4]
[5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]
[5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]
[7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]
[3,8,7,6,1,4,2,5]=>[5,2,4,1,6,7,8,3]
[5,1,8,3,6,7,2,4]=>[4,2,7,6,3,8,1,5]
[1,4,7,8,5,6,2,3]=>[3,2,6,5,8,7,4,1]
[3,4,7,1,5,8,6,2]=>[2,6,8,5,1,7,4,3]
[3,6,1,4,7,8,5,2]=>[2,5,8,7,4,1,6,3]
[1,6,8,4,7,5,2,3]=>[3,2,5,7,4,8,6,1]
[6,8,1,3,5,7,2,4]=>[4,2,7,5,3,1,8,6]
[7,6,1,4,3,8,2,5]=>[5,2,8,3,4,1,6,7]
[3,8,1,6,5,4,2,7]=>[7,2,4,5,6,1,8,3]
[4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]
[6,1,7,3,8,4,2,5]=>[5,2,4,8,3,7,1,6]
[7,1,8,6,3,5,2,4]=>[4,2,5,3,6,8,1,7]
[3,1,7,6,5,8,4,2]=>[2,4,8,5,6,7,1,3]
[8,2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2,8]
[8,4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4,8]
[4,8,1,6,7,5,3,2]=>[2,3,5,7,6,1,8,4]
[7,4,1,6,8,2,5,3]=>[3,5,2,8,6,1,4,7]
[1,3,8,6,2,7,5,4]=>[4,5,7,2,6,8,3,1]
[6,1,3,2,7,8,4,5]=>[5,4,8,7,2,3,1,6]
[1,8,6,2,5,3,4,7]=>[7,4,3,5,2,6,8,1]
[4,7,2,6,8,1,5,3]=>[3,5,1,8,6,2,7,4]
[8,7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7,8]
[5,7,8,6,2,1,4,3]=>[3,4,1,2,6,8,7,5]
[2,7,4,1,6,8,3,5]=>[5,3,8,6,1,4,7,2]
[3,7,2,4,5,1,6,8]=>[8,6,1,5,4,2,7,3]
[1,8,6,4,5,2,3,7]=>[7,3,2,5,4,6,8,1]
[2,8,4,6,5,1,3,7]=>[7,3,1,5,6,4,8,2]
[3,4,1,7,5,2,6,8]=>[8,6,2,5,7,1,4,3]
[7,5,8,6,1,2,4,3]=>[3,4,2,1,6,8,5,7]
[5,6,8,7,3,1,4,2]=>[2,4,1,3,7,8,6,5]
[2,5,4,3,6,8,1,7]=>[7,1,8,6,3,4,5,2]
[3,8,5,4,6,2,1,7]=>[7,1,2,6,4,5,8,3]
[4,8,2,1,3,7,5,6]=>[6,5,7,3,1,2,8,4]
[6,4,1,2,7,5,8,3]=>[3,8,5,7,2,1,4,6]
[4,1,8,3,6,7,5,2]=>[2,5,7,6,3,8,1,4]
[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]
[4,3,7,8,5,1,6,2]=>[2,6,1,5,8,7,3,4]
[5,4,8,2,7,6,1,3]=>[3,1,6,7,2,8,4,5]
[1,2,7,3,6,5,8,4]=>[4,8,5,6,3,7,2,1]
[2,8,7,6,3,4,1,5]=>[5,1,4,3,6,7,8,2]
[5,8,2,6,3,4,1,7]=>[7,1,4,3,6,2,8,5]
[4,1,7,5,8,6,2,3]=>[3,2,6,8,5,7,1,4]
[5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]
[8,2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2,8]
[6,3,8,1,4,7,5,2]=>[2,5,7,4,1,8,3,6]
[3,8,4,5,6,1,2,7]=>[7,2,1,6,5,4,8,3]
[1,4,3,5,7,8,2,6]=>[6,2,8,7,5,3,4,1]
[6,5,8,7,1,3,4,2]=>[2,4,3,1,7,8,5,6]
[3,6,7,2,4,8,1,5]=>[5,1,8,4,2,7,6,3]
[1,5,2,7,4,3,8,6]=>[6,8,3,4,7,2,5,1]
[2,8,5,6,4,3,1,7]=>[7,1,3,4,6,5,8,2]
[1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]
[6,1,5,2,8,4,7,3]=>[3,7,4,8,2,5,1,6]
[4,6,1,8,5,7,2,3]=>[3,2,7,5,8,1,6,4]
[4,7,1,2,8,5,6,3]=>[3,6,5,8,2,1,7,4]
[1,4,7,2,8,5,6,3]=>[3,6,5,8,2,7,4,1]
[1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]
[7,3,5,8,6,1,2,4]=>[4,2,1,6,8,5,3,7]
[3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]
[3,4,6,5,8,1,7,2]=>[2,7,1,8,5,6,4,3]
[6,8,1,5,7,2,3,4]=>[4,3,2,7,5,1,8,6]
[7,1,2,5,8,6,3,4]=>[4,3,6,8,5,2,1,7]
[1,7,2,5,8,6,3,4]=>[4,3,6,8,5,2,7,1]
[1,7,6,8,2,3,5,4]=>[4,5,3,2,8,6,7,1]
[7,6,8,1,2,3,5,4]=>[4,5,3,2,1,8,6,7]
[2,7,1,5,8,6,3,4]=>[4,3,6,8,5,1,7,2]
[2,4,7,1,8,5,6,3]=>[3,6,5,8,1,7,4,2]
[4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]
[4,7,2,1,8,5,6,3]=>[3,6,5,8,1,2,7,4]
[7,6,8,2,1,3,5,4]=>[4,5,3,1,2,8,6,7]
[1,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,1]
[3,7,6,8,2,1,5,4]=>[4,5,1,2,8,6,7,3]
[7,4,2,1,6,8,5,3]=>[3,5,8,6,1,2,4,7]
[6,7,4,1,8,5,3,2]=>[2,3,5,8,1,4,7,6]
[6,7,4,3,1,8,5,2]=>[2,5,8,1,3,4,7,6]
[2,7,4,1,6,8,5,3]=>[3,5,8,6,1,4,7,2]
[2,3,7,6,8,1,5,4]=>[4,5,1,8,6,7,3,2]
[7,4,2,6,8,5,1,3]=>[3,1,5,8,6,2,4,7]
[7,3,2,5,8,6,1,4]=>[4,1,6,8,5,2,3,7]
[3,1,7,6,8,2,5,4]=>[4,5,2,8,6,7,1,3]
[3,7,6,8,1,2,5,4]=>[4,5,2,1,8,6,7,3]
[1,3,7,6,8,2,5,4]=>[4,5,2,8,6,7,3,1]
[1,7,4,2,6,8,5,3]=>[3,5,8,6,2,4,7,1]
[7,4,1,2,6,8,5,3]=>[3,5,8,6,2,1,4,7]
[7,1,4,2,8,5,6,3]=>[3,6,5,8,2,4,1,7]
[7,1,8,2,5,4,6,3]=>[3,6,4,5,2,8,1,7]
[7,3,8,4,6,1,5,2]=>[2,5,1,6,4,8,3,7]
[7,2,8,1,6,4,5,3]=>[3,5,4,6,1,8,2,7]
[7,1,6,8,5,4,2,3]=>[3,2,4,5,8,6,1,7]
[7,1,2,6,8,5,4,3]=>[3,4,5,8,6,2,1,7]
[1,7,2,6,8,5,4,3]=>[3,4,5,8,6,2,7,1]
[1,7,6,8,3,2,5,4]=>[4,5,2,3,8,6,7,1]
[7,6,8,3,1,2,5,4]=>[4,5,2,1,3,8,6,7]
[7,1,5,8,6,3,2,4]=>[4,2,3,6,8,5,1,7]
[7,2,5,8,6,3,1,4]=>[4,1,3,6,8,5,2,7]
[3,6,7,1,8,5,4,2]=>[2,4,5,8,1,7,6,3]
[7,2,6,8,5,4,1,3]=>[3,1,4,5,8,6,2,7]
[7,6,8,2,3,1,5,4]=>[4,5,1,3,2,8,6,7]
[2,7,6,8,3,1,5,4]=>[4,5,1,3,8,6,7,2]
[2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2]
[6,7,3,1,8,5,4,2]=>[2,4,5,8,1,3,7,6]
[6,7,1,8,5,4,3,2]=>[2,3,4,5,8,1,7,6]
[7,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,7]
[7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]
[4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]
[4,6,5,8,7,1,3,2]=>[2,3,1,7,8,5,6,4]
[5,6,4,8,1,2,7,3]=>[3,7,2,1,8,4,6,5]
[8,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,8]
[6,4,5,1,8,2,7,3]=>[3,7,2,8,1,5,4,6]
[5,4,6,7,1,2,8,3]=>[3,8,2,1,7,6,4,5]
[4,3,6,7,2,1,5,8]=>[8,5,1,2,7,6,3,4]
[5,3,6,7,1,4,2,8]=>[8,2,4,1,7,6,3,5]
[8,1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1,8]
[8,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,8]
[7,2,1,6,8,4,5,3]=>[3,5,4,8,6,1,2,7]
[5,2,6,7,1,4,8,3]=>[3,8,4,1,7,6,2,5]
[4,2,6,7,3,1,8,5]=>[5,8,1,3,7,6,2,4]
[6,2,4,1,5,8,7,3]=>[3,7,8,5,1,4,2,6]
[7,2,1,5,4,8,6,3]=>[3,6,8,4,5,1,2,7]
[8,1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1,8]
[7,3,1,5,4,8,2,6]=>[6,2,8,4,5,1,3,7]
[6,3,4,1,5,8,2,7]=>[7,2,8,5,1,4,3,6]
[5,3,4,2,1,8,6,7]=>[7,6,8,1,2,4,3,5]
[4,3,5,2,7,1,6,8]=>[8,6,1,7,2,5,3,4]
[5,6,3,8,1,4,2,7]=>[7,2,4,1,8,3,6,5]
[8,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,8]
[7,6,1,2,4,5,8,3]=>[3,8,5,4,2,1,6,7]
[4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]
[5,6,2,8,1,4,7,3]=>[3,7,4,1,8,2,6,5]
[6,5,2,1,3,7,8,4]=>[4,8,7,3,1,2,5,6]
[7,5,1,3,2,6,8,4]=>[4,8,6,2,3,1,5,7]
[8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]
[7,4,1,3,5,2,8,6]=>[6,8,2,5,3,1,4,7]
[5,4,2,3,1,6,8,7]=>[7,8,6,1,3,2,4,5]
[7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]
[8,1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1,8]
[6,2,3,1,5,7,8,4]=>[4,8,7,5,1,3,2,6]
[7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]
[7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]
[6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]
[6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]
[7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]
[7,8,3,6,4,2,1,5]=>[5,1,2,4,6,3,8,7]
[7,8,3,5,6,2,1,4]=>[4,1,2,6,5,3,8,7]
[6,2,3,8,7,5,1,4]=>[4,1,5,7,8,3,2,6]
[6,2,3,7,8,5,1,4]=>[4,1,5,8,7,3,2,6]
[5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]
[6,3,2,5,8,7,1,4]=>[4,1,7,8,5,2,3,6]
[6,3,2,8,4,7,1,5]=>[5,1,7,4,8,2,3,6]
[6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]
[6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]
[6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]
[6,3,2,7,4,8,1,5]=>[5,1,8,4,7,2,3,6]
[6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]
[5,7,2,3,6,1,8,4]=>[4,8,1,6,3,2,7,5]
[5,8,2,3,6,1,7,4]=>[4,7,1,6,3,2,8,5]
[4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]
[4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]
[4,6,8,5,3,2,1,7]=>[7,1,2,3,5,8,6,4]
[5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]
[5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]
[5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]
[5,2,8,3,4,1,7,6]=>[6,7,1,4,3,8,2,5]
[4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]
[4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]
[4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]
[6,2,3,4,5,8,1,7]=>[7,1,8,5,4,3,2,6]
[5,1,4,3,6,2,8,7]=>[7,8,2,6,3,4,1,5]
[5,1,4,3,7,2,8,6]=>[6,8,2,7,3,4,1,5]
[5,1,4,3,8,2,7,6]=>[6,7,2,8,3,4,1,5]
[5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]
[5,6,2,4,1,8,7,3]=>[3,7,8,1,4,2,6,5]
[5,7,2,4,1,8,6,3]=>[3,6,8,1,4,2,7,5]
[6,1,4,2,8,7,5,3]=>[3,5,7,8,2,4,1,6]
[6,1,4,2,7,8,5,3]=>[3,5,8,7,2,4,1,6]
[5,8,2,4,1,7,6,3]=>[3,6,7,1,4,2,8,5]
[5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]
[5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]
[5,8,6,4,3,7,1,2]=>[2,1,7,3,4,6,8,5]
[5,8,1,4,2,3,7,6]=>[6,7,3,2,4,1,8,5]
[5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]
[4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]
[4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]
[5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]
[5,4,8,7,3,2,1,6]=>[6,1,2,3,7,8,4,5]
[4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]
[4,6,7,8,3,2,1,5]=>[5,1,2,3,8,7,6,4]
[4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]
[4,7,8,5,3,2,1,6]=>[6,1,2,3,5,8,7,4]
[5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]
[5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]
[5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]
[5,8,1,3,4,2,6,7]=>[7,6,2,4,3,1,8,5]
[4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]
[4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]
[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]
[4,8,2,6,3,7,5,1]=>[1,5,7,3,6,2,8,4]
[4,8,2,3,6,7,5,1]=>[1,5,7,6,3,2,8,4]
[4,8,3,1,6,7,5,2]=>[2,5,7,6,1,3,8,4]
[4,3,8,1,6,2,5,7]=>[7,5,2,6,1,8,3,4]
[1,4,8,7,3,5,2,6]=>[6,2,5,3,7,8,4,1]
[4,3,8,7,2,5,1,6]=>[6,1,5,2,7,8,3,4]
[5,8,4,3,7,1,6,2]=>[2,6,1,7,3,4,8,5]
[5,8,1,4,7,2,6,3]=>[3,6,2,7,4,1,8,5]
[5,8,1,7,4,2,3,6]=>[6,3,2,4,7,1,8,5]
[6,8,1,2,4,3,5,7]=>[7,5,3,4,2,1,8,6]
[5,8,7,1,3,4,2,6]=>[6,2,4,3,1,7,8,5]
[4,8,7,6,3,1,2,5]=>[5,2,1,3,6,7,8,4]
[5,8,4,7,3,1,2,6]=>[6,2,1,3,7,4,8,5]
[4,3,8,2,7,5,6,1]=>[1,6,5,7,2,8,3,4]
[1,4,8,3,7,5,6,2]=>[2,6,5,7,3,8,4,1]
[1,4,3,8,2,6,5,7]=>[7,5,6,2,8,3,4,1]
[4,3,2,8,1,6,5,7]=>[7,5,6,1,8,2,3,4]
[4,1,3,8,2,6,5,7]=>[7,5,6,2,8,3,1,4]
[4,1,8,3,7,5,6,2]=>[2,6,5,7,3,8,1,4]
[4,1,8,7,3,5,2,6]=>[6,2,5,3,7,8,1,4]
[3,7,8,1,5,4,2,6]=>[6,2,4,5,1,8,7,3]
[7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]
[3,4,8,1,6,2,5,7]=>[7,5,2,6,1,8,4,3]
[3,4,8,7,2,5,1,6]=>[6,1,5,2,7,8,4,3]
[3,4,8,2,7,5,6,1]=>[1,6,5,7,2,8,4,3]
[1,2,4,8,3,6,5,7]=>[7,5,6,3,8,4,2,1]
[1,2,4,3,8,6,5,7]=>[7,5,6,8,3,4,2,1]
[3,4,2,1,8,6,5,7]=>[7,5,6,8,1,2,4,3]
[3,4,1,8,2,6,5,7]=>[7,5,6,2,8,1,4,3]
[3,6,7,8,4,1,2,5]=>[5,2,1,4,8,7,6,3]
[4,1,7,8,5,3,2,6]=>[6,2,3,5,8,7,1,4]
[4,1,2,8,3,6,5,7]=>[7,5,6,3,8,2,1,4]
[1,4,3,2,8,6,5,7]=>[7,5,6,8,2,3,4,1]
[4,2,3,1,8,6,5,7]=>[7,5,6,8,1,3,2,4]
[3,7,6,8,4,2,1,5]=>[5,1,2,4,8,6,7,3]
[4,7,1,8,5,2,3,6]=>[6,3,2,5,8,1,7,4]
[2,6,8,7,4,3,1,5]=>[5,1,3,4,7,8,6,2]
[3,7,8,6,2,4,1,5]=>[5,1,4,2,6,8,7,3]
[3,7,8,2,6,4,5,1]=>[1,5,4,6,2,8,7,3]
[4,2,3,8,1,6,5,7]=>[7,5,6,1,8,3,2,4]
[4,3,1,8,2,6,5,7]=>[7,5,6,2,8,1,3,4]
[1,4,7,8,5,3,2,6]=>[6,2,3,5,8,7,4,1]
[4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]
[3,7,2,8,4,6,5,1]=>[1,5,6,4,8,2,7,3]
[4,2,8,6,3,1,5,7]=>[7,5,1,3,6,8,2,4]
[2,6,8,4,7,3,1,5]=>[5,1,3,7,4,8,6,2]
[2,4,8,6,3,1,5,7]=>[7,5,1,3,6,8,4,2]
[7,3,6,8,4,2,1,5]=>[5,1,2,4,8,6,3,7]
[7,6,2,8,3,5,4,1]=>[1,4,5,3,8,2,6,7]
[1,7,3,8,4,6,5,2]=>[2,5,6,4,8,3,7,1]
[1,3,4,8,2,6,5,7]=>[7,5,6,2,8,4,3,1]
[3,2,4,8,1,6,5,7]=>[7,5,6,1,8,4,2,3]
[7,3,8,6,2,4,1,5]=>[5,1,4,2,6,8,3,7]
[7,3,8,2,6,4,5,1]=>[1,5,4,6,2,8,3,7]
[2,4,8,3,6,1,5,7]=>[7,5,1,6,3,8,4,2]
[6,2,8,7,4,3,5,1]=>[1,5,3,4,7,8,2,6]
[7,4,1,8,5,2,6,3]=>[3,6,2,5,8,1,4,7]
[7,3,2,8,4,6,5,1]=>[1,5,6,4,8,2,3,7]
[2,4,3,1,8,6,5,7]=>[7,5,6,8,1,3,4,2]
[1,3,4,2,8,6,5,7]=>[7,5,6,8,2,4,3,1]
[1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]
[3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]
[3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]
[3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]
[3,1,4,8,2,6,5,7]=>[7,5,6,2,8,4,1,3]
[7,3,4,8,5,1,6,2]=>[2,6,1,5,8,4,3,7]
[3,7,4,8,5,1,2,6]=>[6,2,1,5,8,4,7,3]
[6,7,2,8,3,5,4,1]=>[1,4,5,3,8,2,7,6]
[2,3,1,4,8,6,5,7]=>[7,5,6,8,4,1,3,2]
[2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]
[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]
[4,8,3,6,2,1,5,7]=>[7,5,1,2,6,3,8,4]
[3,5,8,2,6,1,4,7]=>[7,4,1,6,2,8,5,3]
[3,6,5,8,2,4,1,7]=>[7,1,4,2,8,5,6,3]
[5,3,8,7,2,4,6,1]=>[1,6,4,2,7,8,3,5]
[2,8,4,5,7,3,6,1]=>[1,6,3,7,5,4,8,2]
[2,4,5,7,3,8,1,6]=>[6,1,8,3,7,5,4,2]
[6,2,4,5,8,3,1,7]=>[7,1,3,8,5,4,2,6]
[4,8,1,2,5,6,3,7]=>[7,3,6,5,2,1,8,4]
[8,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,8]
[5,2,1,6,3,8,4,7]=>[7,4,8,3,6,1,2,5]
[6,2,5,1,8,4,3,7]=>[7,3,4,8,1,5,2,6]
[3,6,1,5,8,4,2,7]=>[7,2,4,8,5,1,6,3]
[6,1,4,5,8,3,2,7]=>[7,2,3,8,5,4,1,6]
[5,6,4,8,1,3,2,7]=>[7,2,3,1,8,4,6,5]
[6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]
[5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]
[5,8,4,3,7,2,6,1]=>[1,6,2,7,3,4,8,5]
[4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]
[7,4,6,3,2,8,1,5]=>[5,1,8,2,3,6,4,7]
[1,4,3,6,2,7,8,5]=>[5,8,7,2,6,3,4,1]
[1,5,4,3,7,2,8,6]=>[6,8,2,7,3,4,5,1]
[4,7,8,5,3,1,2,6]=>[6,2,1,3,5,8,7,4]
[5,7,3,4,1,2,8,6]=>[6,8,2,1,4,3,7,5]
[8,5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5,8]
[8,5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5,8]
[4,3,8,1,6,7,5,2]=>[2,5,7,6,1,8,3,4]
[4,7,8,3,6,1,5,2]=>[2,5,1,6,3,8,7,4]
[5,3,8,6,7,4,1,2]=>[2,1,4,7,6,8,3,5]
[1,3,8,6,4,7,5,2]=>[2,5,7,4,6,8,3,1]
[8,6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6,8]
[7,6,2,1,4,3,8,5]=>[5,8,3,4,1,2,6,7]
[7,6,1,3,4,2,8,5]=>[5,8,2,4,3,1,6,7]
[1,5,7,3,2,6,8,4]=>[4,8,6,2,3,7,5,1]
[1,6,7,3,2,5,8,4]=>[4,8,5,2,3,7,6,1]
[3,2,6,8,5,7,4,1]=>[1,4,7,5,8,6,2,3]
[5,8,2,3,6,7,4,1]=>[1,4,7,6,3,2,8,5]
[7,5,2,3,1,6,8,4]=>[4,8,6,1,3,2,5,7]
[1,6,4,7,2,3,8,5]=>[5,8,3,2,7,4,6,1]
[3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]
[2,5,7,4,1,8,3,6]=>[6,3,8,1,4,7,5,2]
[4,2,6,1,7,8,3,5]=>[5,3,8,7,1,6,2,4]
[4,2,7,6,3,8,1,5]=>[5,1,8,3,6,7,2,4]
[6,4,8,7,2,3,5,1]=>[1,5,3,2,7,8,4,6]
[3,2,6,8,7,4,5,1]=>[1,5,4,7,8,6,2,3]
[3,2,7,4,1,6,8,5]=>[5,8,6,1,4,7,2,3]
[6,3,2,1,7,8,4,5]=>[5,4,8,7,1,2,3,6]
[3,7,1,8,4,2,5,6]=>[6,5,2,4,8,1,7,3]
[4,2,1,3,7,5,8,6]=>[6,8,5,7,3,1,2,4]
[8,1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1,8]
[8,4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4,8]
[8,3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3,8]
[3,6,2,8,7,1,5,4]=>[4,5,1,7,8,2,6,3]
[7,3,2,8,1,6,5,4]=>[4,5,6,1,8,2,3,7]
[3,8,7,2,6,5,4,1]=>[1,4,5,6,2,7,8,3]
[4,2,7,8,6,1,5,3]=>[3,5,1,6,8,7,2,4]
[6,8,2,4,7,1,5,3]=>[3,5,1,7,4,2,8,6]
[5,2,1,8,7,3,6,4]=>[4,6,3,7,8,1,2,5]
[8,2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2,8]
[6,8,3,1,7,5,2,4]=>[4,2,5,7,1,3,8,6]
[5,8,1,6,7,2,4,3]=>[3,4,2,7,6,1,8,5]
[6,2,8,1,5,7,4,3]=>[3,4,7,5,1,8,2,6]
[5,7,8,2,6,1,4,3]=>[3,4,1,6,2,8,7,5]
[8,7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7,8]
[8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]
[7,2,6,8,1,5,4,3]=>[3,4,5,1,8,6,2,7]
[1,2,7,8,5,6,4,3]=>[3,4,6,5,8,7,2,1]
[7,4,8,1,6,2,5,3]=>[3,5,2,6,1,8,4,7]
[3,7,1,8,2,6,5,4]=>[4,5,6,2,8,1,7,3]
[2,1,7,3,8,6,5,4]=>[4,5,6,8,3,7,1,2]
[8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]
[8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]
[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]
[7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7]
[5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]
[6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]
[5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]
[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]
[5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]
[6,3,7,8,2,1,4,5]=>[5,4,1,2,8,7,3,6]
[5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]
[3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]
[5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]
[4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]
[5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]
[4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]
[4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]
[3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]
[6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]
[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]
[5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]
[3,8,2,6,5,1,4,7]=>[7,4,1,5,6,2,8,3]
[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]
[5,2,7,6,8,1,3,4]=>[4,3,1,8,6,7,2,5]
[4,2,7,6,5,1,3,8]=>[8,3,1,5,6,7,2,4]
[2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]
[6,5,4,3,1,7,8,2]=>[2,8,7,1,3,4,5,6]
[6,4,7,3,1,5,8,2]=>[2,8,5,1,3,7,4,6]
[5,4,7,3,1,8,6,2]=>[2,6,8,1,3,7,4,5]
[6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]
[5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]
[6,3,7,8,1,4,5,2]=>[2,5,4,1,8,7,3,6]
[5,3,7,6,1,4,8,2]=>[2,8,4,1,6,7,3,5]
[4,3,7,6,1,5,8,2]=>[2,8,5,1,6,7,3,4]
[3,8,7,6,1,4,5,2]=>[2,5,4,1,6,7,8,3]
[6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]
[6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]
[4,8,7,2,1,5,3,6]=>[6,3,5,1,2,7,8,4]
[5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]
[4,8,3,2,1,5,7,6]=>[6,7,5,1,2,3,8,4]
[5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]
[3,8,7,2,1,4,5,6]=>[6,5,4,1,2,7,8,3]
[6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]
[5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]
[6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]
[5,4,2,6,1,8,3,7]=>[7,3,8,1,6,2,4,5]
[4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]
[6,2,7,8,1,4,3,5]=>[5,3,4,1,8,7,2,6]
[4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]
[3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]
[6,5,4,1,8,7,3,2]=>[2,3,7,8,1,4,5,6]
[5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]
[6,4,7,1,5,8,3,2]=>[2,3,8,5,1,7,4,6]
[5,4,7,1,6,8,3,2]=>[2,3,8,6,1,7,4,5]
[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]
[5,4,3,1,6,8,7,2]=>[2,7,8,6,1,3,4,5]
[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]
[3,8,7,1,5,4,6,2]=>[2,6,4,5,1,7,8,3]
[5,8,2,1,6,4,3,7]=>[7,3,4,6,1,2,8,5]
[6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]
[5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]
[3,8,2,1,5,4,6,7]=>[7,6,4,5,1,2,8,3]
[6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]
[5,2,7,1,6,4,3,8]=>[8,3,4,6,1,7,2,5]
[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]
[3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]
[2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]
[6,5,1,7,8,4,3,2]=>[2,3,4,8,7,1,5,6]
[5,8,1,6,7,4,3,2]=>[2,3,4,7,6,1,8,5]
[6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]
[5,4,1,6,7,8,3,2]=>[2,3,8,7,6,1,4,5]
[4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]
[6,3,1,7,5,4,8,2]=>[2,8,4,5,7,1,3,6]
[5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]
[4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]
[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]
[5,2,1,6,7,4,3,8]=>[8,3,4,7,6,1,2,5]
[4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]
[2,8,1,6,5,4,3,7]=>[7,3,4,5,6,1,8,2]
[6,1,7,8,5,4,3,2]=>[2,3,4,5,8,7,1,6]
[4,1,7,6,5,8,3,2]=>[2,3,8,5,6,7,1,4]
[3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]
[4,5,8,1,2,6,3,7]=>[7,3,6,2,1,8,5,4]
[1,4,5,7,2,6,3,8]=>[8,3,6,2,7,5,4,1]
[1,7,3,5,6,2,4,8]=>[8,4,2,6,5,3,7,1]
[8,1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1,8]
[3,6,8,1,7,2,4,5]=>[5,4,2,7,1,8,6,3]
[3,4,5,6,8,1,7,2]=>[2,7,1,8,6,5,4,3]
[4,5,8,2,6,7,1,3]=>[3,1,7,6,2,8,5,4]
[8,2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2,8]
[1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]
[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]
[2,7,8,1,3,5,4,6]=>[6,4,5,3,1,8,7,2]
[2,7,8,3,5,6,1,4]=>[4,1,6,5,3,8,7,2]
[2,4,5,7,8,1,6,3]=>[3,6,1,8,7,5,4,2]
[4,5,8,1,7,6,3,2]=>[2,3,6,7,1,8,5,4]
[4,5,8,7,2,1,6,3]=>[3,6,1,2,7,8,5,4]
[8,7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7,8]
[8,7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7,8]
[3,6,8,7,2,1,5,4]=>[4,5,1,2,7,8,6,3]
[8,6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6,8]
[7,6,4,3,1,8,5,2]=>[2,5,8,1,3,4,6,7]
[2,3,6,7,8,1,5,4]=>[4,5,1,8,7,6,3,2]
[3,6,8,1,2,5,4,7]=>[7,4,5,2,1,8,6,3]
[1,3,6,7,2,5,4,8]=>[8,4,5,2,7,6,3,1]
[7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]
[7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]
[7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]
[8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]
[1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]
[1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]
[8,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,8]
[8,1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1,8]
[8,2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2,8]
[3,6,8,1,7,5,4,2]=>[2,4,5,7,1,8,6,3]
[8,2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2,8]
[2,7,8,6,3,1,5,4]=>[4,5,1,3,6,8,7,2]
[2,7,8,1,6,5,4,3]=>[3,4,5,6,1,8,7,2]
[7,3,1,8,6,5,4,2]=>[2,4,5,6,8,1,3,7]
[8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]
[8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]
[2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]
[8,6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6,8]
[8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]
[2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]
[2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]
[2,1,7,8,3,6,5,4]=>[4,5,6,3,8,7,1,2]
[2,1,8,5,7,6,3,4]=>[4,3,6,7,5,8,1,2]
[2,1,4,8,5,7,3,6]=>[6,3,7,5,8,4,1,2]
[2,1,5,4,6,8,3,7]=>[7,3,8,6,4,5,1,2]
[8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]
[7,5,1,4,6,8,3,2]=>[2,3,8,6,4,1,5,7]
[6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]
[8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]
[5,3,7,4,6,8,1,2]=>[2,1,8,6,4,7,3,5]
[5,8,3,7,6,2,1,4]=>[4,1,2,6,7,3,8,5]
[5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]
[4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]
[3,8,2,4,7,5,1,6]=>[6,1,5,7,4,2,8,3]
[3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]
[8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]
[5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]
[6,3,8,1,5,7,4,2]=>[2,4,7,5,1,8,3,6]
[8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]
[7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]
[7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]
[7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]
[6,2,3,1,4,5,8,7]=>[7,8,5,4,1,3,2,6]
[5,6,1,4,3,2,8,7]=>[7,8,2,3,4,1,6,5]
[5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]
[6,8,1,4,5,3,2,7]=>[7,2,3,5,4,1,8,6]
[6,7,1,5,4,3,8,2]=>[2,8,3,4,5,1,7,6]
[8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]
[6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]
[8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]
[5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]
[8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]
[7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]
[7,3,6,5,4,1,8,2]=>[2,8,1,4,5,6,3,7]
[8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]
[7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]
[6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]
[2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]
[2,7,8,5,1,6,4,3]=>[3,4,6,1,5,8,7,2]
[8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]
[2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]
[2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]
[3,4,7,2,8,1,5,6]=>[6,5,1,8,2,7,4,3]
[4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]
[4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]
[3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]
[8,2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2,8]
[3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3]
[3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]
[8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]
[2,8,4,6,5,7,1,3]=>[3,1,7,5,6,4,8,2]
[2,3,8,4,6,7,1,5]=>[5,1,7,6,4,8,3,2]
[2,4,3,5,8,7,1,6]=>[6,1,7,8,5,3,4,2]
[3,2,4,5,6,8,1,7]=>[7,1,8,6,5,4,2,3]
[5,6,8,1,4,2,7,3]=>[3,7,2,4,1,8,6,5]
[1,5,7,8,4,6,2,3]=>[3,2,6,4,8,7,5,1]
[1,3,5,7,8,6,2,4]=>[4,2,6,8,7,5,3,1]
[3,5,7,8,6,1,2,4]=>[4,2,1,6,8,7,5,3]
[3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]
[3,1,5,6,8,2,7,4]=>[4,7,2,8,6,5,1,3]
[2,3,5,6,8,1,7,4]=>[4,7,1,8,6,5,3,2]
[5,6,4,8,2,1,7,3]=>[3,7,1,2,8,4,6,5]
[5,1,6,3,8,4,7,2]=>[2,7,4,8,3,6,1,5]
[2,5,1,6,8,3,7,4]=>[4,7,3,8,6,1,5,2]
[5,1,2,6,8,3,7,4]=>[4,7,3,8,6,2,1,5]
[5,7,1,8,6,2,3,4]=>[4,3,2,6,8,1,7,5]
[1,5,2,7,8,6,3,4]=>[4,3,6,8,7,2,5,1]
[1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]
[6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]
[2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]
[5,7,2,8,6,1,3,4]=>[4,3,1,6,8,2,7,5]
[3,5,7,8,6,2,1,4]=>[4,1,2,6,8,7,5,3]
[5,1,7,8,6,3,4,2]=>[2,4,3,6,8,7,1,5]
[5,1,3,7,8,6,4,2]=>[2,4,6,8,7,3,1,5]
[5,2,7,8,4,6,1,3]=>[3,1,6,4,8,7,2,5]
[3,2,5,7,8,6,1,4]=>[4,1,6,8,7,5,2,3]
[6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]
[1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]
[6,2,7,5,4,1,8,3]=>[3,8,1,4,5,7,2,6]
[6,7,5,2,4,1,8,3]=>[3,8,1,4,2,5,7,6]
[6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]
[6,7,4,5,2,1,8,3]=>[3,8,1,2,5,4,7,6]
[5,1,7,8,6,4,3,2]=>[2,3,4,6,8,7,1,5]
[2,5,7,8,6,3,1,4]=>[4,1,3,6,8,7,5,2]
[5,1,7,8,6,3,2,4]=>[4,2,3,6,8,7,1,5]
[6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]
[1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]
[1,6,7,5,4,2,8,3]=>[3,8,2,4,5,7,6,1]
[6,7,5,1,4,2,8,3]=>[3,8,2,4,1,5,7,6]
[5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]
[4,1,7,2,6,5,8,3]=>[3,8,5,6,2,7,1,4]
[2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]
[6,7,4,1,5,2,8,3]=>[3,8,2,5,1,4,7,6]
[1,6,7,4,5,2,8,3]=>[3,8,2,5,4,7,6,1]
[1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]
[6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]
[2,5,3,7,8,6,1,4]=>[4,1,6,8,7,3,5,2]
[6,7,5,4,2,1,8,3]=>[3,8,1,2,4,5,7,6]
[6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]
[6,7,4,2,5,1,8,3]=>[3,8,1,5,2,4,7,6]
[6,2,7,4,5,1,8,3]=>[3,8,1,5,4,7,2,6]
[6,2,3,7,5,8,1,4]=>[4,1,8,5,7,3,2,6]
[4,5,1,6,3,2,8,7]=>[7,8,2,3,6,1,5,4]
[7,5,1,6,3,8,2,4]=>[4,2,8,3,6,1,5,7]
[7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]
[2,7,6,1,3,8,4,5]=>[5,4,8,3,1,6,7,2]
[2,7,6,1,3,8,5,4]=>[4,5,8,3,1,6,7,2]
[7,3,5,1,8,2,6,4]=>[4,6,2,8,1,5,3,7]
[7,3,5,1,8,2,4,6]=>[6,4,2,8,1,5,3,7]
[3,7,5,1,8,6,2,4]=>[4,2,6,8,1,5,7,3]
[2,6,7,1,5,8,3,4]=>[4,3,8,5,1,7,6,2]
[2,6,7,4,1,8,3,5]=>[5,3,8,1,4,7,6,2]
[2,1,6,7,3,8,5,4]=>[4,5,8,3,7,6,1,2]
[2,6,7,4,1,8,5,3]=>[3,5,8,1,4,7,6,2]
[2,6,7,1,5,8,4,3]=>[3,4,8,5,1,7,6,2]
[3,6,5,1,8,4,7,2]=>[2,7,4,8,1,5,6,3]
[3,6,5,1,8,4,2,7]=>[7,2,4,8,1,5,6,3]
[3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]
[3,7,5,4,8,1,2,6]=>[6,2,1,8,4,5,7,3]
[4,6,1,5,8,7,3,2]=>[2,3,7,8,5,1,6,4]
[4,6,1,5,8,7,2,3]=>[3,2,7,8,5,1,6,4]
[4,6,1,5,8,2,7,3]=>[3,7,2,8,5,1,6,4]
[7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]
[7,5,1,6,2,8,4,3]=>[3,4,8,2,6,1,5,7]
[4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]
[4,7,1,5,8,3,6,2]=>[2,6,3,8,5,1,7,4]
[2,3,4,7,8,1,6,5]=>[5,6,1,8,7,4,3,2]
[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]
[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]
[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]
[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]
[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]
[8,3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3,8]
[3,5,6,2,1,8,4,7]=>[7,4,8,1,2,6,5,3]
[3,5,2,6,8,4,1,7]=>[7,1,4,8,6,2,5,3]
[7,5,3,2,8,4,1,6]=>[6,1,4,8,2,3,5,7]
[7,5,3,2,8,4,6,1]=>[1,6,4,8,2,3,5,7]
[2,4,5,7,3,8,6,1]=>[1,6,8,3,7,5,4,2]
[4,2,5,6,8,3,1,7]=>[7,1,3,8,6,5,2,4]
[4,2,8,1,5,6,3,7]=>[7,3,6,5,1,8,2,4]
[2,5,6,1,8,4,3,7]=>[7,3,4,8,1,6,5,2]
[5,3,6,8,1,4,2,7]=>[7,2,4,1,8,6,3,5]
[4,5,6,8,1,3,2,7]=>[7,2,3,1,8,6,5,4]
[1,4,5,6,8,3,2,7]=>[7,2,3,8,6,5,4,1]
[4,5,6,3,8,2,1,7]=>[7,1,2,8,3,6,5,4]
[4,5,3,7,2,8,6,1]=>[1,6,8,2,7,3,5,4]
[6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]
[6,1,4,7,3,2,8,5]=>[5,8,2,3,7,4,1,6]
[1,7,8,4,5,3,2,6]=>[6,2,3,5,4,8,7,1]
[5,1,7,3,8,4,2,6]=>[6,2,4,8,3,7,1,5]
[2,5,1,7,4,3,8,6]=>[6,8,3,4,7,1,5,2]
[2,5,7,4,1,8,6,3]=>[3,6,8,1,4,7,5,2]
[5,3,7,1,4,8,6,2]=>[2,6,8,4,1,7,3,5]
[6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]
[6,4,1,7,3,8,5,2]=>[2,5,8,3,7,1,4,6]
[5,6,3,7,8,4,2,1]=>[1,2,4,8,7,3,6,5]
[5,1,6,3,7,8,4,2]=>[2,4,8,7,3,6,1,5]
[5,6,1,3,7,8,4,2]=>[2,4,8,7,3,1,6,5]
[5,6,1,7,8,3,4,2]=>[2,4,3,8,7,1,6,5]
[1,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,1]
[6,7,2,4,1,8,5,3]=>[3,5,8,1,4,2,7,6]
[6,7,2,1,4,3,8,5]=>[5,8,3,4,1,2,7,6]
[6,4,7,3,1,2,8,5]=>[5,8,2,1,3,7,4,6]
[5,6,3,1,2,7,8,4]=>[4,8,7,2,1,3,6,5]
[5,6,1,3,2,7,8,4]=>[4,8,7,2,3,1,6,5]
[5,6,3,2,1,7,8,4]=>[4,8,7,1,2,3,6,5]
[2,5,6,3,7,8,4,1]=>[1,4,8,7,3,6,5,2]
[2,5,6,3,1,7,8,4]=>[4,8,7,1,3,6,5,2]
[2,6,4,7,3,1,8,5]=>[5,8,1,3,7,4,6,2]
[6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]
[6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]
[6,3,2,7,1,8,4,5]=>[5,4,8,1,7,2,3,6]
[7,5,3,2,1,8,4,6]=>[6,4,8,1,2,3,5,7]
[7,3,8,4,2,1,5,6]=>[6,5,1,2,4,8,3,7]
[4,7,2,1,3,8,6,5]=>[5,6,8,3,1,2,7,4]
[1,3,7,8,6,4,2,5]=>[5,2,4,6,8,7,3,1]
[7,3,8,4,6,2,1,5]=>[5,1,2,6,4,8,3,7]
[5,7,3,8,2,1,6,4]=>[4,6,1,2,8,3,7,5]
[6,3,7,8,5,2,1,4]=>[4,1,2,5,8,7,3,6]
[4,6,2,7,8,5,3,1]=>[1,3,5,8,7,2,6,4]
[4,6,2,1,7,8,5,3]=>[3,5,8,7,1,2,6,4]
[7,4,5,8,1,2,6,3]=>[3,6,2,1,8,5,4,7]
[2,5,1,7,3,8,6,4]=>[4,6,8,3,7,1,5,2]
[6,7,2,1,3,8,5,4]=>[4,5,8,3,1,2,7,6]
[5,1,6,7,8,2,4,3]=>[3,4,2,8,7,6,1,5]
[6,3,7,1,8,5,2,4]=>[4,2,5,8,1,7,3,6]
[6,2,1,7,3,8,5,4]=>[4,5,8,3,7,1,2,6]
[6,2,7,1,8,5,4,3]=>[3,4,5,8,1,7,2,6]
[6,3,1,7,8,5,4,2]=>[2,4,5,8,7,1,3,6]
[4,1,3,6,8,2,5,7]=>[7,5,2,8,6,3,1,4]
[4,2,3,6,8,1,5,7]=>[7,5,1,8,6,3,2,4]
[5,3,2,1,8,4,7,6]=>[6,7,4,8,1,2,3,5]
[3,6,5,8,2,1,7,4]=>[4,7,1,2,8,5,6,3]
[4,5,2,1,3,8,7,6]=>[6,7,8,3,1,2,5,4]
[3,2,6,4,5,8,1,7]=>[7,1,8,5,4,6,2,3]
[2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]
[1,6,2,4,5,8,3,7]=>[7,3,8,5,4,2,6,1]
[5,3,2,1,6,8,4,7]=>[7,4,8,6,1,2,3,5]
[6,2,4,5,8,1,3,7]=>[7,3,1,8,5,4,2,6]
[1,3,4,6,5,8,2,7]=>[7,2,8,5,6,4,3,1]
[1,6,3,4,5,8,2,7]=>[7,2,8,5,4,3,6,1]
[3,4,1,8,5,2,7,6]=>[6,7,2,5,8,1,4,3]
[2,8,4,1,7,6,3,5]=>[5,3,6,7,1,4,8,2]
[8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]
[1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]
[8,2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2,8]
[1,7,6,4,5,8,3,2]=>[2,3,8,5,4,6,7,1]
[5,8,7,4,1,2,6,3]=>[3,6,2,1,4,7,8,5]
[5,8,7,4,6,2,1,3]=>[3,1,2,6,4,7,8,5]
[3,4,2,5,8,6,7,1]=>[1,7,6,8,5,2,4,3]
[4,1,3,5,6,8,7,2]=>[2,7,8,6,5,3,1,4]
[2,4,8,6,7,1,3,5]=>[5,3,1,7,6,8,4,2]
[4,3,6,2,8,1,7,5]=>[5,7,1,8,2,6,3,4]
[3,7,4,8,2,1,6,5]=>[5,6,1,2,8,4,7,3]
[2,3,5,8,6,7,1,4]=>[4,1,7,6,8,5,3,2]
[3,2,5,6,8,7,1,4]=>[4,1,7,8,6,5,2,3]
[2,1,8,5,6,7,3,4]=>[4,3,7,6,5,8,1,2]
[1,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,1]
[4,2,3,7,1,8,6,5]=>[5,6,8,1,7,3,2,4]
[3,2,6,4,8,1,7,5]=>[5,7,1,8,4,6,2,3]
[8,2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2,8]
[2,7,8,5,4,1,3,6]=>[6,3,1,4,5,8,7,2]
[1,7,5,3,8,4,2,6]=>[6,2,4,8,3,5,7,1]
[4,7,5,3,1,2,8,6]=>[6,8,2,1,3,5,7,4]
[7,2,4,8,5,3,1,6]=>[6,1,3,5,8,4,2,7]
[4,8,3,1,2,7,6,5]=>[5,6,7,2,1,3,8,4]
[3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]
[8,4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4,8]
[2,8,4,7,1,3,5,6]=>[6,5,3,1,7,4,8,2]
[8,2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2,8]
[4,8,2,3,6,7,1,5]=>[5,1,7,6,3,2,8,4]
[3,5,2,7,6,1,8,4]=>[4,8,1,6,7,2,5,3]
[1,6,3,2,5,8,7,4]=>[4,7,8,5,2,3,6,1]
[5,8,3,2,1,6,7,4]=>[4,7,6,1,2,3,8,5]
[5,8,7,3,4,6,2,1]=>[1,2,6,4,3,7,8,5]
[5,8,2,7,4,1,6,3]=>[3,6,1,4,7,2,8,5]
[5,1,4,2,8,7,6,3]=>[3,6,7,8,2,4,1,5]
[4,7,6,5,8,2,1,3]=>[3,1,2,8,5,6,7,4]
[5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]
[5,2,6,8,7,1,3,4]=>[4,3,1,7,8,6,2,5]
[6,3,2,1,8,5,7,4]=>[4,7,5,8,1,2,3,6]
[2,7,5,4,1,8,6,3]=>[3,6,8,1,4,5,7,2]
[4,2,5,6,8,7,1,3]=>[3,1,7,8,6,5,2,4]
[1,8,4,2,5,6,7,3]=>[3,7,6,5,2,4,8,1]
[3,8,4,1,5,6,7,2]=>[2,7,6,5,1,4,8,3]
[4,2,8,5,6,7,1,3]=>[3,1,7,6,5,8,2,4]
[5,2,4,7,1,8,6,3]=>[3,6,8,1,7,4,2,5]
[5,3,4,7,1,8,6,2]=>[2,6,8,1,7,4,3,5]
[8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]
[8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]
[8,1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1,8]
[3,6,5,2,1,8,7,4]=>[4,7,8,1,2,5,6,3]
[8,3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3,8]
[8,4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4,8]
[8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]
[8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]
[8,3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3,8]
[8,2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2,8]
[1,3,4,8,5,7,2,6]=>[6,2,7,5,8,4,3,1]
[5,8,4,7,6,2,3,1]=>[1,3,2,6,7,4,8,5]
[1,3,4,7,5,8,2,6]=>[6,2,8,5,7,4,3,1]
[1,3,5,2,4,8,7,6]=>[6,7,8,4,2,5,3,1]
[2,6,5,1,3,8,7,4]=>[4,7,8,3,1,5,6,2]
[4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]
[5,4,8,7,6,3,1,2]=>[2,1,3,6,7,8,4,5]
[2,8,5,1,4,7,6,3]=>[3,6,7,4,1,5,8,2]
[4,3,1,5,8,6,7,2]=>[2,7,6,8,5,1,3,4]
[4,1,3,5,8,6,7,2]=>[2,7,6,8,5,3,1,4]
[6,5,3,8,4,7,1,2]=>[2,1,7,4,8,3,5,6]
[5,4,2,1,6,8,7,3]=>[3,7,8,6,1,2,4,5]
[6,8,4,3,2,7,1,5]=>[5,1,7,2,3,4,8,6]
[3,4,7,8,2,1,6,5]=>[5,6,1,2,8,7,4,3]
[5,1,3,2,8,6,7,4]=>[4,7,6,8,2,3,1,5]
[5,3,1,2,8,6,7,4]=>[4,7,6,8,2,1,3,5]
[5,2,3,1,6,8,7,4]=>[4,7,8,6,1,3,2,5]
[5,3,2,1,8,6,7,4]=>[4,7,6,8,1,2,3,5]
[5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]
[2,4,7,3,8,1,6,5]=>[5,6,1,8,3,7,4,2]
[6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]
[8,2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2,8]
[3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]
[2,7,4,5,8,3,1,6]=>[6,1,3,8,5,4,7,2]
[1,8,4,3,7,2,6,5]=>[5,6,2,7,3,4,8,1]
[3,4,8,7,2,1,6,5]=>[5,6,1,2,7,8,4,3]
[5,4,7,8,3,6,2,1]=>[1,2,6,3,8,7,4,5]
[6,4,3,8,7,2,1,5]=>[5,1,2,7,8,3,4,6]
[6,3,8,7,4,1,2,5]=>[5,2,1,4,7,8,3,6]
[3,5,7,2,4,8,1,6]=>[6,1,8,4,2,7,5,3]
[8,4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4,8]
[8,4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4,8]
[8,4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4,8]
[8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]
[8,6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6,8]
[8,6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6,8]
[3,5,7,2,6,1,8,4]=>[4,8,1,6,2,7,5,3]
[6,1,3,8,5,7,2,4]=>[4,2,7,5,8,3,1,6]
[5,8,3,2,6,7,1,4]=>[4,1,7,6,2,3,8,5]
[4,8,5,3,6,2,7,1]=>[1,7,2,6,3,5,8,4]
[2,8,1,5,4,7,6,3]=>[3,6,7,4,5,1,8,2]
[1,5,8,7,4,6,2,3]=>[3,2,6,4,7,8,5,1]
[2,1,7,6,4,5,8,3]=>[3,8,5,4,6,7,1,2]
[1,7,2,4,6,5,8,3]=>[3,8,5,6,4,2,7,1]
[3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]
[5,8,2,6,1,3,7,4]=>[4,7,3,1,6,2,8,5]
[6,3,5,8,7,2,1,4]=>[4,1,2,7,8,5,3,6]
[2,5,7,8,4,1,6,3]=>[3,6,1,4,8,7,5,2]
[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]
[4,1,5,2,6,8,7,3]=>[3,7,8,6,2,5,1,4]
[3,4,5,1,6,8,7,2]=>[2,7,8,6,1,5,4,3]
[4,2,8,5,1,6,7,3]=>[3,7,6,1,5,8,2,4]
[4,1,8,5,2,6,7,3]=>[3,7,6,2,5,8,1,4]
[2,7,1,8,5,4,6,3]=>[3,6,4,5,8,1,7,2]
[5,8,6,2,1,3,7,4]=>[4,7,3,1,2,6,8,5]
[8,2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2,8]
[4,6,3,5,8,1,7,2]=>[2,7,1,8,5,3,6,4]
[1,7,8,3,5,4,6,2]=>[2,6,4,5,3,8,7,1]
[3,4,5,1,8,6,7,2]=>[2,7,6,8,1,5,4,3]
[3,8,1,4,5,6,7,2]=>[2,7,6,5,4,1,8,3]
[3,4,5,6,8,2,1,7]=>[7,1,2,8,6,5,4,3]
[3,4,5,7,1,8,6,2]=>[2,6,8,1,7,5,4,3]
[3,4,5,7,8,2,6,1]=>[1,6,2,8,7,5,4,3]
[3,4,6,2,8,5,1,7]=>[7,1,5,8,2,6,4,3]
[3,4,6,8,1,5,2,7]=>[7,2,5,1,8,6,4,3]
[3,4,7,2,1,8,6,5]=>[5,6,8,1,2,7,4,3]
[3,4,7,8,1,5,6,2]=>[2,6,5,1,8,7,4,3]
[3,4,8,2,1,5,6,7]=>[7,6,5,1,2,8,4,3]
[3,5,2,6,7,8,1,4]=>[4,1,8,7,6,2,5,3]
[3,5,2,7,8,4,6,1]=>[1,6,4,8,7,2,5,3]
[3,5,2,8,4,1,6,7]=>[7,6,1,4,8,2,5,3]
[3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]
[3,5,6,8,4,1,2,7]=>[7,2,1,4,8,6,5,3]
[3,5,7,2,4,8,6,1]=>[1,6,8,4,2,7,5,3]
[3,5,7,2,8,4,6,1]=>[1,6,4,8,2,7,5,3]
[3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]
[3,6,2,1,7,8,5,4]=>[4,5,8,7,1,2,6,3]
[3,6,2,1,8,5,4,7]=>[7,4,5,8,1,2,6,3]
[3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]
[3,6,7,2,8,5,4,1]=>[1,4,5,8,2,7,6,3]
[3,6,7,8,4,5,1,2]=>[2,1,5,4,8,7,6,3]
[3,6,8,2,4,5,1,7]=>[7,1,5,4,2,8,6,3]
[3,7,2,1,4,8,6,5]=>[5,6,8,4,1,2,7,3]
[3,7,2,1,8,5,6,4]=>[4,6,5,8,1,2,7,3]
[3,7,2,8,4,5,6,1]=>[1,6,5,4,8,2,7,3]
[3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]
[3,8,2,1,4,5,6,7]=>[7,6,5,4,1,2,8,3]
[4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4]
[4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]
[4,1,6,3,7,8,5,2]=>[2,5,8,7,3,6,1,4]
[4,1,6,3,8,5,2,7]=>[7,2,5,8,3,6,1,4]
[4,1,6,7,3,8,5,2]=>[2,5,8,3,7,6,1,4]
[4,1,6,7,8,5,2,3]=>[3,2,5,8,7,6,1,4]
[4,1,6,8,3,5,2,7]=>[7,2,5,3,8,6,1,4]
[4,1,7,3,2,8,6,5]=>[5,6,8,2,3,7,1,4]
[4,1,7,8,3,5,6,2]=>[2,6,5,3,8,7,1,4]
[4,1,8,3,2,5,6,7]=>[7,6,5,2,3,8,1,4]
[4,5,2,6,7,8,3,1]=>[1,3,8,7,6,2,5,4]
[4,5,2,6,8,1,3,7]=>[7,3,1,8,6,2,5,4]
[4,5,6,3,8,1,2,7]=>[7,2,1,8,3,6,5,4]
[4,5,6,8,3,1,2,7]=>[7,2,1,3,8,6,5,4]
[4,5,7,3,8,1,6,2]=>[2,6,1,8,3,7,5,4]
[4,5,8,3,2,1,6,7]=>[7,6,1,2,3,8,5,4]
[4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]
[4,6,2,3,8,5,1,7]=>[7,1,5,8,3,2,6,4]
[4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]
[4,6,2,7,8,5,1,3]=>[3,1,5,8,7,2,6,4]
[4,6,7,3,2,8,5,1]=>[1,5,8,2,3,7,6,4]
[4,6,8,3,2,5,1,7]=>[7,1,5,2,3,8,6,4]
[4,7,2,3,1,8,6,5]=>[5,6,8,1,3,2,7,4]
[4,7,2,8,3,5,6,1]=>[1,6,5,3,8,2,7,4]
[4,7,8,3,2,5,6,1]=>[1,6,5,2,3,8,7,4]
[4,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,4]
[5,1,2,6,8,4,3,7]=>[7,3,4,8,6,2,1,5]
[5,1,2,7,4,8,6,3]=>[3,6,8,4,7,2,1,5]
[5,1,2,8,4,3,6,7]=>[7,6,3,4,8,2,1,5]
[5,1,6,3,8,4,2,7]=>[7,2,4,8,3,6,1,5]
[5,1,6,7,4,8,2,3]=>[3,2,8,4,7,6,1,5]
[5,1,6,7,8,4,2,3]=>[3,2,4,8,7,6,1,5]
[5,1,8,3,4,2,6,7]=>[7,6,2,4,3,8,1,5]
[5,6,2,3,8,4,1,7]=>[7,1,4,8,3,2,6,5]
[5,6,2,7,8,4,1,3]=>[3,1,4,8,7,2,6,5]
[5,6,8,3,4,2,1,7]=>[7,1,2,4,3,8,6,5]
[5,7,2,3,4,8,6,1]=>[1,6,8,4,3,2,7,5]
[5,7,8,3,4,2,6,1]=>[1,6,2,4,3,8,7,5]
[5,8,2,3,4,1,6,7]=>[7,6,1,4,3,2,8,5]
[6,1,2,3,7,8,5,4]=>[4,5,8,7,3,2,1,6]
[6,1,2,3,8,5,4,7]=>[7,4,5,8,3,2,1,6]
[6,1,2,7,8,5,4,3]=>[3,4,5,8,7,2,1,6]
[6,1,2,8,4,5,3,7]=>[7,3,5,4,8,2,1,6]
[6,1,7,3,4,8,5,2]=>[2,5,8,4,3,7,1,6]
[6,1,7,3,8,5,4,2]=>[2,4,5,8,3,7,1,6]
[6,1,7,8,4,5,3,2]=>[2,3,5,4,8,7,1,6]
[6,1,8,3,4,5,2,7]=>[7,2,5,4,3,8,1,6]
[6,7,2,3,8,5,4,1]=>[1,4,5,8,3,2,7,6]
[6,7,2,8,4,5,3,1]=>[1,3,5,4,8,2,7,6]
[6,8,2,3,4,5,1,7]=>[7,1,5,4,3,2,8,6]
[7,1,2,3,4,8,6,5]=>[5,6,8,4,3,2,1,7]
[7,1,2,8,4,5,6,3]=>[3,6,5,4,8,2,1,7]
[7,1,8,3,4,5,6,2]=>[2,6,5,4,3,8,1,7]
[6,4,1,8,2,3,7,5]=>[5,7,3,2,8,1,4,6]
[5,8,1,2,4,3,7,6]=>[6,7,3,4,2,1,8,5]
[1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]
[3,5,8,6,1,2,4,7]=>[7,4,2,1,6,8,5,3]
[3,1,6,8,2,4,7,5]=>[5,7,4,2,8,6,1,3]
[3,6,2,8,1,5,7,4]=>[4,7,5,1,8,2,6,3]
[2,6,1,3,8,4,7,5]=>[5,7,4,8,3,1,6,2]
[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]
[2,7,5,1,3,8,4,6]=>[6,4,8,3,1,5,7,2]
[8,2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2,8]
[8,2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2,8]
[8,2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2,8]
[8,2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2,8]
[8,2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2,8]
[7,6,5,2,4,8,1,3]=>[3,1,8,4,2,5,6,7]
[7,8,2,5,3,1,6,4]=>[4,6,1,3,5,2,8,7]
[7,1,8,6,3,2,4,5]=>[5,4,2,3,6,8,1,7]
[6,8,1,5,3,2,4,7]=>[7,4,2,3,5,1,8,6]
[1,6,7,5,3,2,4,8]=>[8,4,2,3,5,7,6,1]
[6,5,1,2,4,8,3,7]=>[7,3,8,4,2,1,5,6]
[7,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,7]
[8,4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4,8]
[1,7,3,6,5,2,4,8]=>[8,4,2,5,6,3,7,1]
[8,1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1,8]
[7,3,2,6,5,1,8,4]=>[4,8,1,5,6,2,3,7]
[7,8,4,2,5,6,1,3]=>[3,1,6,5,2,4,8,7]
[8,2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2,8]
[8,2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2,8]
[4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]
[3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]
[4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]
[2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]
[3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]
[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]
[2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]
[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]
[7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]
[7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]
[6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]
[8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]
[6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]
[5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]
[4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]
[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]
[3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]
[6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]
[7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]
[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]
[7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]
[7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]
[7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]
[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]
[4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]
[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]
[8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]
[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]
[1,6,3,2,5,8,4,7]=>[7,4,8,5,2,3,6,1]
[8,3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3,8]
[6,3,7,1,5,8,4,2]=>[2,4,8,5,1,7,3,6]
[2,5,1,8,4,3,7,6]=>[6,7,3,4,8,1,5,2]
[6,2,5,4,8,1,3,7]=>[7,3,1,8,4,5,2,6]
[4,3,1,6,5,8,2,7]=>[7,2,8,5,6,1,3,4]
[1,3,5,4,6,8,2,7]=>[7,2,8,6,4,5,3,1]
[6,1,3,4,5,8,2,7]=>[7,2,8,5,4,3,1,6]
[8,3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3,8]
[7,5,4,2,6,8,3,1]=>[1,3,8,6,2,4,5,7]
[8,2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2,8]
[7,3,8,4,5,2,1,6]=>[6,1,2,5,4,8,3,7]
[7,2,5,1,8,4,3,6]=>[6,3,4,8,1,5,2,7]
[1,7,3,2,5,4,8,6]=>[6,8,4,5,2,3,7,1]
[8,7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7,8]
[3,6,1,5,8,7,4,2]=>[2,4,7,8,5,1,6,3]
[8,3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3,8]
[5,4,6,8,1,2,7,3]=>[3,7,2,1,8,6,4,5]
[6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]
[6,8,4,1,3,5,7,2]=>[2,7,5,3,1,4,8,6]
[3,4,7,8,6,2,5,1]=>[1,5,2,6,8,7,4,3]
[4,1,3,5,7,8,6,2]=>[2,6,8,7,5,3,1,4]
[6,5,1,8,4,7,3,2]=>[2,3,7,4,8,1,5,6]
[5,3,1,8,4,7,6,2]=>[2,6,7,4,8,1,3,5]
[8,2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2,8]
[4,7,3,2,8,1,6,5]=>[5,6,1,8,2,3,7,4]
[6,3,1,4,7,2,8,5]=>[5,8,2,7,4,1,3,6]
[8,7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7,8]
[7,4,3,6,8,2,5,1]=>[1,5,2,8,6,3,4,7]
[2,4,7,3,8,5,6,1]=>[1,6,5,8,3,7,4,2]
[2,8,6,1,5,7,3,4]=>[4,3,7,5,1,6,8,2]
[7,8,2,5,4,3,1,6]=>[6,1,3,4,5,2,8,7]
[1,8,3,4,2,7,6,5]=>[5,6,7,2,4,3,8,1]
[8,5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5,8]
[5,7,3,2,4,1,8,6]=>[6,8,1,4,2,3,7,5]
[2,8,3,4,7,1,5,6]=>[6,5,1,7,4,3,8,2]
[4,1,3,6,7,8,2,5]=>[5,2,8,7,6,3,1,4]
[1,7,6,3,2,5,8,4]=>[4,8,5,2,3,6,7,1]
[3,8,1,5,6,2,7,4]=>[4,7,2,6,5,1,8,3]
[8,2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2,8]
[7,1,5,2,8,6,4,3]=>[3,4,6,8,2,5,1,7]
[6,5,4,8,7,2,1,3]=>[3,1,2,7,8,4,5,6]
[1,8,6,4,5,2,7,3]=>[3,7,2,5,4,6,8,1]
[1,8,5,3,6,2,7,4]=>[4,7,2,6,3,5,8,1]
[3,6,2,1,7,5,8,4]=>[4,8,5,7,1,2,6,3]
[2,5,4,1,8,7,6,3]=>[3,6,7,8,1,4,5,2]
[4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]
[6,8,1,4,2,7,3,5]=>[5,3,7,2,4,1,8,6]
[6,3,4,7,1,8,2,5]=>[5,2,8,1,7,4,3,6]
[3,4,7,8,2,5,6,1]=>[1,6,5,2,8,7,4,3]
[1,8,2,4,5,6,7,3]=>[3,7,6,5,4,2,8,1]
[5,2,4,1,6,8,7,3]=>[3,7,8,6,1,4,2,5]
[3,2,5,7,6,1,8,4]=>[4,8,1,6,7,5,2,3]
[4,3,5,6,1,8,7,2]=>[2,7,8,1,6,5,3,4]
[5,3,4,1,7,6,8,2]=>[2,8,6,7,1,4,3,5]
[3,1,4,6,5,7,8,2]=>[2,8,7,5,6,4,1,3]
[1,4,7,3,5,6,8,2]=>[2,8,6,5,3,7,4,1]
[5,1,3,6,4,8,7,2]=>[2,7,8,4,6,3,1,5]
[1,3,2,7,5,8,6,4]=>[4,6,8,5,7,2,3,1]
[1,4,2,5,8,3,7,6]=>[6,7,3,8,5,2,4,1]
[1,4,2,7,8,5,6,3]=>[3,6,5,8,7,2,4,1]
[5,1,2,6,8,4,7,3]=>[3,7,4,8,6,2,1,5]
[3,1,2,6,5,8,4,7]=>[7,4,8,5,6,2,1,3]
[4,1,2,6,8,5,3,7]=>[7,3,5,8,6,2,1,4]
[1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]
[1,2,6,4,8,7,5,3]=>[3,5,7,8,4,6,2,1]
[1,2,7,4,8,6,5,3]=>[3,5,6,8,4,7,2,1]
[1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]
[2,3,1,7,5,4,8,6]=>[6,8,4,5,7,1,3,2]
[1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]
[1,4,2,5,8,7,3,6]=>[6,3,7,8,5,2,4,1]
[1,5,2,4,8,7,3,6]=>[6,3,7,8,4,2,5,1]
[1,2,6,4,8,7,3,5]=>[5,3,7,8,4,6,2,1]
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]
[1,2,6,8,5,7,3,4]=>[4,3,7,5,8,6,2,1]
[1,5,6,8,2,7,3,4]=>[4,3,7,2,8,6,5,1]
[1,3,8,2,6,7,4,5]=>[5,4,7,6,2,8,3,1]
[1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]
[1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]
[1,2,6,8,3,7,5,4]=>[4,5,7,3,8,6,2,1]
[1,5,7,8,2,3,6,4]=>[4,6,3,2,8,7,5,1]
[1,5,2,7,8,4,6,3]=>[3,6,4,8,7,2,5,1]
[1,4,7,2,8,3,6,5]=>[5,6,3,8,2,7,4,1]
[1,3,6,2,4,8,7,5]=>[5,7,8,4,2,6,3,1]
[1,6,7,3,4,8,5,2]=>[2,5,8,4,3,7,6,1]
[1,5,3,7,4,8,6,2]=>[2,6,8,4,7,3,5,1]
[2,8,4,1,5,3,7,6]=>[6,7,3,5,1,4,8,2]
[3,8,4,1,5,7,2,6]=>[6,2,7,5,1,4,8,3]
[1,3,6,4,2,8,7,5]=>[5,7,8,2,4,6,3,1]
[1,3,7,4,2,8,6,5]=>[5,6,8,2,4,7,3,1]
[1,3,8,4,2,7,6,5]=>[5,6,7,2,4,8,3,1]
[1,2,8,4,7,3,6,5]=>[5,6,3,7,4,8,2,1]
[1,2,7,4,8,3,6,5]=>[5,6,3,8,4,7,2,1]
[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]
[1,5,2,4,8,3,7,6]=>[6,7,3,8,4,2,5,1]
[1,8,4,5,7,2,3,6]=>[6,3,2,7,5,4,8,1]
[1,8,3,5,2,7,4,6]=>[6,4,7,2,5,3,8,1]
[2,8,3,5,1,4,7,6]=>[6,7,4,1,5,3,8,2]
[2,3,8,6,1,4,7,5]=>[5,7,4,1,6,8,3,2]
[1,3,8,6,2,7,4,5]=>[5,4,7,2,6,8,3,1]
[1,4,8,6,7,2,3,5]=>[5,3,2,7,6,8,4,1]
[1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]
[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]
[1,2,7,8,5,3,6,4]=>[4,6,3,5,8,7,2,1]
[1,2,5,8,7,3,6,4]=>[4,6,3,7,8,5,2,1]
[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]
[1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]
[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]
[1,5,7,8,6,2,3,4]=>[4,3,2,6,8,7,5,1]
[1,4,7,6,8,2,3,5]=>[5,3,2,8,6,7,4,1]
[1,3,7,6,2,8,4,5]=>[5,4,8,2,6,7,3,1]
[2,3,8,7,4,1,6,5]=>[5,6,1,4,7,8,3,2]
[1,2,8,4,7,6,3,5]=>[5,3,6,7,4,8,2,1]
[1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]
[1,2,6,8,7,5,3,4]=>[4,3,5,7,8,6,2,1]
[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]
[5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]
[5,2,4,7,6,3,8,1]=>[1,8,3,6,7,4,2,5]
[5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]
[5,6,2,1,4,8,7,3]=>[3,7,8,4,1,2,6,5]
[2,6,1,4,5,8,7,3]=>[3,7,8,5,4,1,6,2]
[5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]
[2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]
[2,6,1,7,5,8,3,4]=>[4,3,8,5,7,1,6,2]
[2,6,1,7,4,8,5,3]=>[3,5,8,4,7,1,6,2]
[5,1,2,7,8,4,3,6]=>[6,3,4,8,7,2,1,5]
[2,6,1,7,4,8,3,5]=>[5,3,8,4,7,1,6,2]
[3,6,4,1,7,8,2,5]=>[5,2,8,7,1,4,6,3]
[5,4,6,1,3,8,7,2]=>[2,7,8,3,1,6,4,5]
[3,6,4,1,5,8,7,2]=>[2,7,8,5,1,4,6,3]
[2,6,1,5,4,8,7,3]=>[3,7,8,4,5,1,6,2]
[2,6,1,4,7,8,5,3]=>[3,5,8,7,4,1,6,2]
[5,1,2,4,8,6,7,3]=>[3,7,6,8,4,2,1,5]
[5,1,2,4,8,7,3,6]=>[6,3,7,8,4,2,1,5]
[5,1,2,4,8,7,6,3]=>[3,6,7,8,4,2,1,5]
[1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]
[4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]
[2,1,5,3,8,6,4,7]=>[7,4,6,8,3,5,1,2]
[1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1]
[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]
[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]
[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]
[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]
[5,1,2,4,8,6,3,7]=>[7,3,6,8,4,2,1,5]
[5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]
[5,6,3,1,4,8,2,7]=>[7,2,8,4,1,3,6,5]
[2,5,4,3,1,8,6,7]=>[7,6,8,1,3,4,5,2]
[5,4,6,3,1,8,7,2]=>[2,7,8,1,3,6,4,5]
[3,6,4,5,1,8,7,2]=>[2,7,8,1,5,4,6,3]
[3,6,5,4,1,8,7,2]=>[2,7,8,1,4,5,6,3]
[5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]
[5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]
[2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]
[2,1,3,7,8,5,6,4]=>[4,6,5,8,7,3,1,2]
[5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]
[4,3,1,2,8,6,7,5]=>[5,7,6,8,2,1,3,4]
[5,1,4,2,8,6,7,3]=>[3,7,6,8,2,4,1,5]
[2,1,3,6,8,5,7,4]=>[4,7,5,8,6,3,1,2]
[1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]
[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]
[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]
[1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]
[2,1,3,6,8,7,4,5]=>[5,4,7,8,6,3,1,2]
[5,4,1,2,8,7,6,3]=>[3,6,7,8,2,1,4,5]
[3,1,6,2,8,7,5,4]=>[4,5,7,8,2,6,1,3]
[1,2,8,4,5,3,6,7]=>[7,6,3,5,4,8,2,1]
[1,8,3,4,2,5,6,7]=>[7,6,5,2,4,3,8,1]
[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]
[8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]
[8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]
[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]
[8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8]
[8,6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6,8]
[8,5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5,8]
[8,1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1,8]
[8,1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1,8]
[8,2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2,8]
[8,3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3,8]
[8,5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5,8]
[8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]
[8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]
[8,4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4,8]
[8,3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3,8]
[8,2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2,8]
[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]
[8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8]
[8,1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1,8]
[8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]
[8,4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4,8]
[8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]
[8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8]
[8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]
[8,3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3,8]
[8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8]
[8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8]
[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]
[6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]
[6,8,1,4,2,5,3,7]=>[7,3,5,2,4,1,8,6]
[7,8,3,6,1,4,2,5]=>[5,2,4,1,6,3,8,7]
[7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]
[7,8,2,5,1,4,3,6]=>[6,3,4,1,5,2,8,7]
[7,8,1,4,3,6,2,5]=>[5,2,6,3,4,1,8,7]
[5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]
[6,8,2,5,1,4,3,7]=>[7,3,4,1,5,2,8,6]
[6,8,2,5,3,7,1,4]=>[4,1,7,3,5,2,8,6]
[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]
[2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]
[2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]
[2,5,1,4,3,7,6,8]=>[8,6,7,3,4,1,5,2]
[2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]
[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]
[2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]
[2,6,3,7,4,8,1,5]=>[5,1,8,4,7,3,6,2]
[2,6,4,7,5,8,1,3]=>[3,1,8,5,7,4,6,2]
[5,8,3,6,4,7,1,2]=>[2,1,7,4,6,3,8,5]
[5,8,2,6,4,7,1,3]=>[3,1,7,4,6,2,8,5]
[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]
[4,8,1,5,3,7,2,6]=>[6,2,7,3,5,1,8,4]
[4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]
[4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]
[6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]
[5,8,1,3,2,6,4,7]=>[7,4,6,2,3,1,8,5]
[5,8,4,7,1,3,2,6]=>[6,2,3,1,7,4,8,5]
[6,8,4,7,1,3,2,5]=>[5,2,3,1,7,4,8,6]
[6,8,5,7,1,3,2,4]=>[4,2,3,1,7,5,8,6]
[5,7,6,8,2,4,1,3]=>[3,1,4,2,8,6,7,5]
[4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]
[4,7,5,8,1,3,2,6]=>[6,2,3,1,8,5,7,4]
[4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]
[3,7,1,4,2,6,5,8]=>[8,5,6,2,4,1,7,3]
[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]
[3,7,6,8,1,4,2,5]=>[5,2,4,1,8,6,7,3]
[3,7,6,8,2,5,1,4]=>[4,1,5,2,8,6,7,3]
[4,7,6,8,2,5,1,3]=>[3,1,5,2,8,6,7,4]
[4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]
[4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]
[3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]
[3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]
[3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]
[3,7,1,5,2,6,4,8]=>[8,4,6,2,5,1,7,3]
[3,7,2,6,1,5,4,8]=>[8,4,5,1,6,2,7,3]
[3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]
[4,7,3,6,5,8,1,2]=>[2,1,8,5,6,3,7,4]
[3,6,5,8,4,7,1,2]=>[2,1,7,4,8,5,6,3]
[2,6,5,8,4,7,1,3]=>[3,1,7,4,8,5,6,2]
[2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]
[2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]
[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]
[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]
[7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]
[6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]
[6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]
[6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]
[6,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,6]
[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]
[7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]
[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]
[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]
[7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]
[7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]
[7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]
[6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]
[6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]
[5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]
[5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]
[6,3,4,8,7,2,5,1]=>[1,5,2,7,8,4,3,6]
[6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]
[6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]
[6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]
[6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]
[6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]
[5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]
[5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]
[5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]
[4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]
[4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]
[4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]
[4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]
[5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]
[5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]
[5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]
[4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]
[4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]
[4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]
[4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]
[4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]
[4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]
[4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]
[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]
[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]
[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]
[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]
[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]
[6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]
[5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]
[5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]
[5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]
[5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]
[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]
[6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]
[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]
[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]
[6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]
[6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]
[6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]
[5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]
[5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]
[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]
[5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]
[6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]
[6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]
[6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]
[6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]
[5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]
[5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]
[4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]
[4,7,3,6,8,2,5,1]=>[1,5,2,8,6,3,7,4]
[4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]
[4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]
[4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]
[4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]
[5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]
[5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]
[5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]
[5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]
[4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]
[4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]
[4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]
[5,7,4,8,6,3,2,1]=>[1,2,3,6,8,4,7,5]
[3,2,6,5,1,8,7,4]=>[4,7,8,1,5,6,2,3]
[3,5,6,7,2,8,4,1]=>[1,4,8,2,7,6,5,3]
[1,6,2,5,3,4,8,7]=>[7,8,4,3,5,2,6,1]
[1,3,8,2,4,6,5,7]=>[7,5,6,4,2,8,3,1]
[1,7,2,3,6,4,8,5]=>[5,8,4,6,3,2,7,1]
[1,6,8,2,5,3,7,4]=>[4,7,3,5,2,8,6,1]
[1,8,2,5,3,4,7,6]=>[6,7,4,3,5,2,8,1]
[1,8,2,3,6,4,7,5]=>[5,7,4,6,3,2,8,1]
[1,3,5,2,8,4,7,6]=>[6,7,4,8,2,5,3,1]
[1,2,7,3,5,4,6,8]=>[8,6,4,5,3,7,2,1]
[1,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,1]
[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]
[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]
[5,3,6,1,2,4,8,7]=>[7,8,4,2,1,6,3,5]
[7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]
[8,1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1,8]
[7,1,4,5,8,2,3,6]=>[6,3,2,8,5,4,1,7]
[7,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,7]
[8,4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4,8]
[8,1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1,8]
[8,1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1,8]
[2,1,7,5,8,3,4,6]=>[6,4,3,8,5,7,1,2]
[7,1,5,4,8,2,3,6]=>[6,3,2,8,4,5,1,7]
[7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]
[6,4,1,7,2,3,8,5]=>[5,8,3,2,7,1,4,6]
[7,8,3,1,2,4,6,5]=>[5,6,4,2,1,3,8,7]
[8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]
[8,6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6,8]
[7,6,1,8,4,2,3,5]=>[5,3,2,4,8,1,6,7]
[7,3,8,1,2,4,6,5]=>[5,6,4,2,1,8,3,7]
[8,3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3,8]
[8,3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3,8]
[8,3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3,8]
[7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]
[6,7,1,8,4,2,3,5]=>[5,3,2,4,8,1,7,6]
[6,8,1,7,4,2,3,5]=>[5,3,2,4,7,1,8,6]
[7,1,8,5,4,2,3,6]=>[6,3,2,4,5,8,1,7]
[7,1,8,4,5,2,3,6]=>[6,3,2,5,4,8,1,7]
[2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]
[7,6,3,1,2,4,8,5]=>[5,8,4,2,1,3,6,7]
[6,1,2,3,8,7,5,4]=>[4,5,7,8,3,2,1,6]
[6,8,1,4,2,3,7,5]=>[5,7,3,2,4,1,8,6]
[6,8,3,1,2,7,4,5]=>[5,4,7,2,1,3,8,6]
[6,7,3,1,2,8,4,5]=>[5,4,8,2,1,3,7,6]
[6,7,1,4,2,3,8,5]=>[5,8,3,2,4,1,7,6]
[4,3,6,8,5,7,1,2]=>[2,1,7,5,8,6,3,4]
[6,1,2,5,4,8,3,7]=>[7,3,8,4,5,2,1,6]
[3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]
[7,8,2,1,4,6,3,5]=>[5,3,6,4,1,2,8,7]
[7,2,1,5,8,3,4,6]=>[6,4,3,8,5,1,2,7]
[2,4,8,5,1,3,6,7]=>[7,6,3,1,5,8,4,2]
[3,5,6,1,8,4,2,7]=>[7,2,4,8,1,6,5,3]
[1,3,6,8,7,4,2,5]=>[5,2,4,7,8,6,3,1]
[1,2,8,5,7,3,4,6]=>[6,4,3,7,5,8,2,1]
[2,6,1,5,8,3,4,7]=>[7,4,3,8,5,1,6,2]
[5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]
[4,8,1,2,5,7,3,6]=>[6,3,7,5,2,1,8,4]
[8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]
[8,3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3,8]
[3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3]
[1,7,8,4,6,2,5,3]=>[3,5,2,6,4,8,7,1]
[3,7,4,8,5,1,6,2]=>[2,6,1,5,8,4,7,3]
[3,7,1,6,5,4,8,2]=>[2,8,4,5,6,1,7,3]
[2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]
[2,7,4,6,8,1,3,5]=>[5,3,1,8,6,4,7,2]
[2,7,5,8,6,4,1,3]=>[3,1,4,6,8,5,7,2]
[8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]
[3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]
[3,6,8,2,7,4,1,5]=>[5,1,4,7,2,8,6,3]
[1,5,2,8,7,4,6,3]=>[3,6,4,7,8,2,5,1]
[3,4,2,7,8,1,6,5]=>[5,6,1,8,7,2,4,3]
[4,1,3,7,5,6,8,2]=>[2,8,6,5,7,3,1,4]
[6,3,8,1,7,4,2,5]=>[5,2,4,7,1,8,3,6]
[6,5,8,7,1,4,2,3]=>[3,2,4,1,7,8,5,6]
[4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]
[3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]
[1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]
[6,1,7,3,5,4,8,2]=>[2,8,4,5,3,7,1,6]
[6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]
[1,4,7,2,8,5,3,6]=>[6,3,5,8,2,7,4,1]
[5,6,8,7,2,4,1,3]=>[3,1,4,2,7,8,6,5]
[6,8,5,7,1,2,4,3]=>[3,4,2,1,7,5,8,6]
[2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]
[8,2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2,8]
[6,8,2,1,5,7,3,4]=>[4,3,7,5,1,2,8,6]
[7,2,8,4,1,6,3,5]=>[5,3,6,1,4,8,2,7]
[1,2,4,8,6,5,3,7]=>[7,3,5,6,8,4,2,1]
[7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]
[2,7,8,1,4,6,3,5]=>[5,3,6,4,1,8,7,2]
[4,8,2,5,7,1,6,3]=>[3,6,1,7,5,2,8,4]
[4,1,6,8,5,3,7,2]=>[2,7,3,5,8,6,1,4]
[5,2,6,4,8,3,1,7]=>[7,1,3,8,4,6,2,5]
[6,7,1,3,4,5,8,2]=>[2,8,5,4,3,1,7,6]
[1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]
[1,3,6,5,2,8,4,7]=>[7,4,8,2,5,6,3,1]
[7,1,6,5,3,4,8,2]=>[2,8,4,3,5,6,1,7]
[6,3,4,2,8,7,5,1]=>[1,5,7,8,2,4,3,6]
[4,3,8,7,5,2,6,1]=>[1,6,2,5,7,8,3,4]
[6,8,7,4,2,3,5,1]=>[1,5,3,2,4,7,8,6]
[3,6,4,5,2,8,7,1]=>[1,7,8,2,5,4,6,3]
[8,6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6,8]
[5,3,8,6,1,2,4,7]=>[7,4,2,1,6,8,3,5]
[2,5,6,3,4,8,7,1]=>[1,7,8,4,3,6,5,2]
[2,5,3,6,8,7,4,1]=>[1,4,7,8,6,3,5,2]
[4,8,7,3,5,2,6,1]=>[1,6,2,5,3,7,8,4]
[3,8,7,2,6,4,5,1]=>[1,5,4,6,2,7,8,3]
[6,3,5,4,8,7,2,1]=>[1,2,7,8,4,5,3,6]
[4,3,8,6,1,5,2,7]=>[7,2,5,1,6,8,3,4]
[4,7,6,2,5,3,8,1]=>[1,8,3,5,2,6,7,4]
[7,5,2,6,8,1,4,3]=>[3,4,1,8,6,2,5,7]
[8,5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5,8]
[1,8,5,3,6,2,4,7]=>[7,4,2,6,3,5,8,1]
[5,1,7,2,4,3,8,6]=>[6,8,3,4,2,7,1,5]
[1,5,3,4,8,6,2,7]=>[7,2,6,8,4,3,5,1]
[5,4,1,3,8,6,2,7]=>[7,2,6,8,3,1,4,5]
[5,1,8,6,3,4,2,7]=>[7,2,4,3,6,8,1,5]
[4,5,2,8,3,7,6,1]=>[1,6,7,3,8,2,5,4]
[8,2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2,8]
[5,8,2,4,7,6,3,1]=>[1,3,6,7,4,2,8,5]
[6,8,2,5,3,4,7,1]=>[1,7,4,3,5,2,8,6]
[7,2,5,6,4,8,1,3]=>[3,1,8,4,6,5,2,7]
[1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]
[7,1,3,5,8,2,6,4]=>[4,6,2,8,5,3,1,7]
[8,2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2,8]
[6,3,1,4,7,5,8,2]=>[2,8,5,7,4,1,3,6]
[4,1,3,8,2,6,7,5]=>[5,7,6,2,8,3,1,4]
[2,8,3,6,7,5,4,1]=>[1,4,5,7,6,3,8,2]
[3,1,7,2,8,5,4,6]=>[6,4,5,8,2,7,1,3]
[3,6,1,4,7,2,8,5]=>[5,8,2,7,4,1,6,3]
[1,5,8,4,7,2,3,6]=>[6,3,2,7,4,8,5,1]
[7,1,3,6,2,8,4,5]=>[5,4,8,2,6,3,1,7]
[6,2,7,4,5,8,1,3]=>[3,1,8,5,4,7,2,6]
[2,1,8,4,5,7,3,6]=>[6,3,7,5,4,8,1,2]
[1,8,5,7,3,2,4,6]=>[6,4,2,3,7,5,8,1]
[2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]
[2,7,4,1,5,3,8,6]=>[6,8,3,5,1,4,7,2]
[7,4,8,6,2,3,1,5]=>[5,1,3,2,6,8,4,7]
[2,7,1,4,6,3,8,5]=>[5,8,3,6,4,1,7,2]
[4,7,5,6,8,1,3,2]=>[2,3,1,8,6,5,7,4]
[7,1,3,2,8,5,4,6]=>[6,4,5,8,2,3,1,7]
[2,8,5,4,1,3,6,7]=>[7,6,3,1,4,5,8,2]
[5,1,7,4,2,3,8,6]=>[6,8,3,2,4,7,1,5]
[3,8,6,5,1,4,2,7]=>[7,2,4,1,5,6,8,3]
[1,3,4,8,6,5,2,7]=>[7,2,5,6,8,4,3,1]
[4,1,8,6,5,3,2,7]=>[7,2,3,5,6,8,1,4]
[4,8,5,2,7,3,6,1]=>[1,6,3,7,2,5,8,4]
[7,2,8,5,3,6,4,1]=>[1,4,6,3,5,8,2,7]
[5,2,8,4,3,7,6,1]=>[1,6,7,3,4,8,2,5]
[8,4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4,8]
[7,5,2,8,4,6,1,3]=>[3,1,6,4,8,2,5,7]
[5,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,5]
[6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]
[5,2,6,8,3,4,7,1]=>[1,7,4,3,8,6,2,5]
[7,6,2,4,5,8,3,1]=>[1,3,8,5,4,2,6,7]
[3,6,8,4,7,2,5,1]=>[1,5,2,7,4,8,6,3]
[7,6,3,8,4,2,5,1]=>[1,5,2,4,8,3,6,7]
[2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]
[7,2,3,6,5,8,4,1]=>[1,4,8,5,6,3,2,7]
[6,2,7,5,8,3,1,4]=>[4,1,3,8,5,7,2,6]
[2,8,3,6,4,5,7,1]=>[1,7,5,4,6,3,8,2]
[2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]
[5,8,1,2,6,4,7,3]=>[3,7,4,6,2,1,8,5]
[1,6,8,3,2,7,4,5]=>[5,4,7,2,3,8,6,1]
[6,5,7,2,8,4,1,3]=>[3,1,4,8,2,7,5,6]
[7,5,1,2,8,4,6,3]=>[3,6,4,8,2,1,5,7]
[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]
[5,8,2,7,4,3,6,1]=>[1,6,3,4,7,2,8,5]
[6,4,5,8,2,7,3,1]=>[1,3,7,2,8,5,4,6]
[5,7,3,6,4,8,2,1]=>[1,2,8,4,6,3,7,5]
[1,5,6,4,8,2,7,3]=>[3,7,2,8,4,6,5,1]
[3,1,5,6,4,8,7,2]=>[2,7,8,4,6,5,1,3]
[1,3,6,2,5,7,8,4]=>[4,8,7,5,2,6,3,1]
[1,4,6,3,5,7,8,2]=>[2,8,7,5,3,6,4,1]
[3,5,1,6,4,7,8,2]=>[2,8,7,4,6,1,5,3]
[3,6,1,4,2,7,8,5]=>[5,8,7,2,4,1,6,3]
[2,4,6,3,1,7,8,5]=>[5,8,7,1,3,6,4,2]
[1,3,6,5,2,7,8,4]=>[4,8,7,2,5,6,3,1]
[1,2,6,4,3,8,5,7]=>[7,5,8,3,4,6,2,1]
[1,2,6,3,5,8,7,4]=>[4,7,8,5,3,6,2,1]
[2,3,5,1,8,4,7,6]=>[6,7,4,8,1,5,3,2]
[2,3,6,1,8,5,4,7]=>[7,4,5,8,1,6,3,2]
[1,2,7,4,6,8,3,5]=>[5,3,8,6,4,7,2,1]
[2,3,7,5,1,8,4,6]=>[6,4,8,1,5,7,3,2]
[4,7,2,5,3,8,6,1]=>[1,6,8,3,5,2,7,4]
[3,1,7,5,4,8,6,2]=>[2,6,8,4,5,7,1,3]
[1,2,7,6,4,8,5,3]=>[3,5,8,4,6,7,2,1]
[1,2,7,3,6,8,5,4]=>[4,5,8,6,3,7,2,1]
[2,3,6,1,8,5,7,4]=>[4,7,5,8,1,6,3,2]
[3,1,5,4,8,7,6,2]=>[2,6,7,8,4,5,1,3]
[1,2,5,8,4,7,3,6]=>[6,3,7,4,8,5,2,1]
[1,2,6,8,5,4,7,3]=>[3,7,4,5,8,6,2,1]
[1,3,6,8,5,2,7,4]=>[4,7,2,5,8,6,3,1]
[3,5,7,4,8,2,1,6]=>[6,1,2,8,4,7,5,3]
[2,4,7,6,8,3,1,5]=>[5,1,3,8,6,7,4,2]
[1,4,6,8,3,5,2,7]=>[7,2,5,3,8,6,4,1]
[1,3,6,8,5,2,4,7]=>[7,4,2,5,8,6,3,1]
[1,2,6,8,5,4,3,7]=>[7,3,4,5,8,6,2,1]
[1,2,5,8,4,3,7,6]=>[6,7,3,4,8,5,2,1]
[1,3,5,8,2,4,7,6]=>[6,7,4,2,8,5,3,1]
[1,3,6,8,2,5,4,7]=>[7,4,5,2,8,6,3,1]
[1,4,6,8,3,2,5,7]=>[7,5,2,3,8,6,4,1]
[3,5,7,4,8,1,2,6]=>[6,2,1,8,4,7,5,3]
[4,6,1,7,5,8,2,3]=>[3,2,8,5,7,1,6,4]
[2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]
[1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]
[2,3,6,5,8,1,7,4]=>[4,7,1,8,5,6,3,2]
[3,4,6,2,8,1,7,5]=>[5,7,1,8,2,6,4,3]
[3,5,4,6,8,2,1,7]=>[7,1,2,8,6,4,5,3]
[3,5,4,6,8,1,2,7]=>[7,2,1,8,6,4,5,3]
[1,2,4,7,5,8,3,6]=>[6,3,8,5,7,4,2,1]
[1,2,6,7,4,8,3,5]=>[5,3,8,4,7,6,2,1]
[3,6,4,7,1,8,5,2]=>[2,5,8,1,7,4,6,3]
[1,2,6,7,3,8,5,4]=>[4,5,8,3,7,6,2,1]
[1,2,5,7,3,8,6,4]=>[4,6,8,3,7,5,2,1]
[3,1,5,7,6,8,4,2]=>[2,4,8,6,7,5,1,3]
[3,5,4,6,8,2,7,1]=>[1,7,2,8,6,4,5,3]
[4,2,6,1,8,7,5,3]=>[3,5,7,8,1,6,2,4]
[3,1,6,5,8,7,4,2]=>[2,4,7,8,5,6,1,3]
[2,3,6,5,8,7,1,4]=>[4,1,7,8,5,6,3,2]
[1,2,7,4,6,8,5,3]=>[3,5,8,6,4,7,2,1]
[1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]
[3,1,6,7,5,8,4,2]=>[2,4,8,5,7,6,1,3]
[4,6,2,7,5,8,3,1]=>[1,3,8,5,7,2,6,4]
[3,5,7,4,8,2,6,1]=>[1,6,2,8,4,7,5,3]
[2,4,7,6,8,3,5,1]=>[1,5,3,8,6,7,4,2]
[1,4,6,8,3,5,7,2]=>[2,7,5,3,8,6,4,1]
[1,3,6,8,2,5,7,4]=>[4,7,5,2,8,6,3,1]
[1,3,5,8,2,7,4,6]=>[6,4,7,2,8,5,3,1]
[1,2,5,8,4,7,6,3]=>[3,6,7,4,8,5,2,1]
[1,2,4,8,7,3,6,5]=>[5,6,3,7,8,4,2,1]
[1,2,5,8,7,4,3,6]=>[6,3,4,7,8,5,2,1]
[1,3,5,8,7,2,4,6]=>[6,4,2,7,8,5,3,1]
[2,3,7,6,8,5,1,4]=>[4,1,5,8,6,7,3,2]
[5,7,1,2,8,6,4,3]=>[3,4,6,8,2,1,7,5]
[3,1,7,6,8,5,4,2]=>[2,4,5,8,6,7,1,3]
[1,2,6,8,5,7,4,3]=>[3,4,7,5,8,6,2,1]
[1,2,5,8,7,4,6,3]=>[3,6,4,7,8,5,2,1]
[1,2,4,8,7,6,3,5]=>[5,3,6,7,8,4,2,1]
[6,4,5,7,2,8,1,3]=>[3,1,8,2,7,5,4,6]
[5,3,4,7,2,8,1,6]=>[6,1,8,2,7,4,3,5]
[3,2,7,4,6,8,1,5]=>[5,1,8,6,4,7,2,3]
[5,3,6,2,7,1,4,8]=>[8,4,1,7,2,6,3,5]
[2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]
[2,7,3,4,5,8,1,6]=>[6,1,8,5,4,3,7,2]
[3,7,4,5,6,8,1,2]=>[2,1,8,6,5,4,7,3]
[2,5,7,3,6,8,1,4]=>[4,1,8,6,3,7,5,2]
[4,7,6,2,3,8,1,5]=>[5,1,8,3,2,6,7,4]
[7,3,5,2,4,8,1,6]=>[6,1,8,4,2,5,3,7]
[7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]
[6,5,2,3,4,8,1,7]=>[7,1,8,4,3,2,5,6]
[5,3,1,2,8,4,7,6]=>[6,7,4,8,2,1,3,5]
[6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]
[5,2,1,7,3,4,6,8]=>[8,6,4,3,7,1,2,5]
[5,2,1,8,3,4,6,7]=>[7,6,4,3,8,1,2,5]
[6,3,2,8,4,5,7,1]=>[1,7,5,4,8,2,3,6]
[7,3,1,2,8,4,6,5]=>[5,6,4,8,2,1,3,7]
[6,4,1,3,8,5,7,2]=>[2,7,5,8,3,1,4,6]
[6,2,3,1,8,4,7,5]=>[5,7,4,8,1,3,2,6]
[8,3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3,8]
[8,6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6,8]
[8,5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5,8]
[8,2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2,8]
[8,6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6,8]
[7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]
[8,2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2,8]
[8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]
[8,1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1,8]
[8,6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6,8]
[8,1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1,8]
[1,7,5,8,2,3,6,4]=>[4,6,3,2,8,5,7,1]
[7,2,1,8,3,4,5,6]=>[6,5,4,3,8,1,2,7]
[7,3,8,2,4,5,6,1]=>[1,6,5,4,2,8,3,7]
[7,2,8,3,4,5,6,1]=>[1,6,5,4,3,8,2,7]
[1,7,8,3,4,5,6,2]=>[2,6,5,4,3,8,7,1]
[1,4,5,8,3,6,7,2]=>[2,7,6,3,8,5,4,1]
[2,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,2]
[6,2,7,1,8,4,5,3]=>[3,5,4,8,1,7,2,6]
[4,7,1,3,8,5,6,2]=>[2,6,5,8,3,1,7,4]
[1,6,2,8,4,5,7,3]=>[3,7,5,4,8,2,6,1]
[4,1,3,6,8,2,7,5]=>[5,7,2,8,6,3,1,4]
[5,3,4,6,8,2,7,1]=>[1,7,2,8,6,4,3,5]
[4,6,3,8,7,1,2,5]=>[5,2,1,7,8,3,6,4]
[6,4,5,8,7,1,2,3]=>[3,2,1,7,8,5,4,6]
[5,3,4,8,7,1,2,6]=>[6,2,1,7,8,4,3,5]
[3,2,8,7,1,4,6,5]=>[5,6,4,1,7,8,2,3]
[3,1,8,7,2,4,6,5]=>[5,6,4,2,7,8,1,3]
[5,3,7,6,1,2,4,8]=>[8,4,2,1,6,7,3,5]
[1,8,3,7,2,4,5,6]=>[6,5,4,2,7,3,8,1]
[3,8,1,7,2,4,5,6]=>[6,5,4,2,7,1,8,3]
[6,8,2,3,5,1,4,7]=>[7,4,1,5,3,2,8,6]
[4,7,8,2,6,1,3,5]=>[5,3,1,6,2,8,7,4]
[6,2,8,7,1,4,5,3]=>[3,5,4,1,7,8,2,6]
[3,8,7,1,4,5,6,2]=>[2,6,5,4,1,7,8,3]
[2,8,6,1,3,4,5,7]=>[7,5,4,3,1,6,8,2]
[2,7,6,1,3,4,5,8]=>[8,5,4,3,1,6,7,2]
[1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]
[1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]
[2,8,7,3,4,5,6,1]=>[1,6,5,4,3,7,8,2]
[3,8,7,2,4,5,6,1]=>[1,6,5,4,2,7,8,3]
[7,8,3,6,2,4,5,1]=>[1,5,4,2,6,3,8,7]
[1,5,8,7,2,3,6,4]=>[4,6,3,2,7,8,5,1]
[8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]
[3,6,2,4,7,1,8,5]=>[5,8,1,7,4,2,6,3]
[3,4,7,2,5,1,8,6]=>[6,8,1,5,2,7,4,3]
[2,1,6,4,8,5,3,7]=>[7,3,5,8,4,6,1,2]
[4,1,8,5,3,2,7,6]=>[6,7,2,3,5,8,1,4]
[3,6,2,5,7,1,4,8]=>[8,4,1,7,5,2,6,3]
[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]
[6,1,3,2,8,5,4,7]=>[7,4,5,8,2,3,1,6]
[5,6,1,2,8,4,3,7]=>[7,3,4,8,2,1,6,5]
[1,6,3,8,7,4,2,5]=>[5,2,4,7,8,3,6,1]
[4,3,8,1,2,6,7,5]=>[5,7,6,2,1,8,3,4]
[3,6,8,7,1,2,5,4]=>[4,5,2,1,7,8,6,3]
[6,2,8,5,4,7,1,3]=>[3,1,7,4,5,8,2,6]
[6,5,7,2,4,8,1,3]=>[3,1,8,4,2,7,5,6]
[3,4,1,6,5,8,7,2]=>[2,7,8,5,6,1,4,3]
[3,5,1,2,4,8,7,6]=>[6,7,8,4,2,1,5,3]
[3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]
[3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]
[5,2,8,4,7,3,1,6]=>[6,1,3,7,4,8,2,5]
[5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]
[4,3,5,1,2,8,7,6]=>[6,7,8,2,1,5,3,4]
[3,1,4,6,2,8,7,5]=>[5,7,8,2,6,4,1,3]
[1,4,6,5,2,8,7,3]=>[3,7,8,2,5,6,4,1]
[3,4,5,6,1,8,7,2]=>[2,7,8,1,6,5,4,3]
[3,4,5,8,7,2,1,6]=>[6,1,2,7,8,5,4,3]
[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]
[8,4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4,8]
[8,1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1,8]
[1,8,5,7,3,4,6,2]=>[2,6,4,3,7,5,8,1]
[6,3,5,1,7,4,2,8]=>[8,2,4,7,1,5,3,6]
[6,1,4,8,7,3,2,5]=>[5,2,3,7,8,4,1,6]
[6,4,8,5,7,1,2,3]=>[3,2,1,7,5,8,4,6]
[5,4,8,1,6,3,2,7]=>[7,2,3,6,1,8,4,5]
[1,4,8,6,3,7,2,5]=>[5,2,7,3,6,8,4,1]
[5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]
[4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]
[4,1,3,5,8,6,2,7]=>[7,2,6,8,5,3,1,4]
[5,7,4,3,8,1,2,6]=>[6,2,1,8,3,4,7,5]
[1,4,8,3,7,6,5,2]=>[2,5,6,7,3,8,4,1]
[4,3,8,2,1,6,5,7]=>[7,5,6,1,2,8,3,4]
[3,8,4,2,7,1,5,6]=>[6,5,1,7,2,4,8,3]
[3,1,2,5,7,6,4,8]=>[8,4,6,7,5,2,1,3]
[1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]
[3,8,1,6,7,5,4,2]=>[2,4,5,7,6,1,8,3]
[3,7,2,6,8,5,1,4]=>[4,1,5,8,6,2,7,3]
[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]
[8,2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2,8]
[8,1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1,8]
[8,2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2,8]
[1,7,8,5,4,3,6,2]=>[2,6,3,4,5,8,7,1]
[1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]
[7,8,5,4,3,1,6,2]=>[2,6,1,3,4,5,8,7]
[7,1,6,3,4,2,5,8]=>[8,5,2,4,3,6,1,7]
[6,8,7,1,4,2,5,3]=>[3,5,2,4,1,7,8,6]
[3,6,1,4,2,7,5,8]=>[8,5,7,2,4,1,6,3]
[3,4,1,8,5,7,6,2]=>[2,6,7,5,8,1,4,3]
[3,6,5,1,2,8,4,7]=>[7,4,8,2,1,5,6,3]
[3,8,5,6,7,2,1,4]=>[4,1,2,7,6,5,8,3]
[8,1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1,8]
[8,5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5,8]
[8,6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6,8]
[1,6,4,5,7,2,3,8]=>[8,3,2,7,5,4,6,1]
[8,3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3,8]
[1,8,6,5,7,3,4,2]=>[2,4,3,7,5,6,8,1]
[1,7,5,3,6,8,4,2]=>[2,4,8,6,3,5,7,1]
[7,4,1,6,5,8,3,2]=>[2,3,8,5,6,1,4,7]
[4,1,5,8,7,6,3,2]=>[2,3,6,7,8,5,1,4]
[1,2,5,8,6,7,3,4]=>[4,3,7,6,8,5,2,1]
[4,2,1,5,8,7,3,6]=>[6,3,7,8,5,1,2,4]
[5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]
[1,5,3,6,8,7,4,2]=>[2,4,7,8,6,3,5,1]
[3,5,4,6,1,8,2,7]=>[7,2,8,1,6,4,5,3]
[3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]
[1,4,5,6,8,7,2,3]=>[3,2,7,8,6,5,4,1]
[1,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,1]
[1,7,3,6,5,2,8,4]=>[4,8,2,5,6,3,7,1]
[8,6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6,8]
[3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]
[7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]
[4,7,5,2,6,3,1,8]=>[8,1,3,6,2,5,7,4]
[3,2,6,4,7,5,1,8]=>[8,1,5,7,4,6,2,3]
[6,2,3,7,5,4,1,8]=>[8,1,4,5,7,3,2,6]
[1,3,4,7,6,2,8,5]=>[5,8,2,6,7,4,3,1]
[2,8,3,6,1,7,5,4]=>[4,5,7,1,6,3,8,2]
[8,7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7,8]
[3,8,2,6,5,1,7,4]=>[4,7,1,5,6,2,8,3]
[7,8,2,5,4,1,6,3]=>[3,6,1,4,5,2,8,7]
[4,8,5,2,6,1,7,3]=>[3,7,1,6,2,5,8,4]
[4,5,1,3,7,2,8,6]=>[6,8,2,7,3,1,5,4]
[6,1,3,7,5,2,8,4]=>[4,8,2,5,7,3,1,6]
[7,1,3,6,2,8,5,4]=>[4,5,8,2,6,3,1,7]
[8,1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1,8]
[1,2,4,7,3,8,6,5]=>[5,6,8,3,7,4,2,1]
[7,1,8,2,6,5,4,3]=>[3,4,5,6,2,8,1,7]
[3,1,8,6,2,7,5,4]=>[4,5,7,2,6,8,1,3]
[4,1,7,8,2,6,5,3]=>[3,5,6,2,8,7,1,4]
[5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]
[4,2,7,8,1,6,5,3]=>[3,5,6,1,8,7,2,4]
[3,2,8,6,1,7,5,4]=>[4,5,7,1,6,8,2,3]
[7,2,8,1,6,5,4,3]=>[3,4,5,6,1,8,2,7]
[1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]
[2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]
[3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]
[4,8,7,5,1,6,3,2]=>[2,3,6,1,5,7,8,4]
[6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]
[5,6,3,8,4,1,7,2]=>[2,7,1,4,8,3,6,5]
[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]
[3,4,8,6,5,1,7,2]=>[2,7,1,5,6,8,4,3]
[8,3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3,8]
[1,4,8,6,2,7,5,3]=>[3,5,7,2,6,8,4,1]
[8,4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4,8]
[5,6,4,7,8,1,3,2]=>[2,3,1,8,7,4,6,5]
[3,4,6,5,1,2,8,7]=>[7,8,2,1,5,6,4,3]
[7,3,5,1,2,8,6,4]=>[4,6,8,2,1,5,3,7]
[1,4,6,2,3,8,7,5]=>[5,7,8,3,2,6,4,1]
[1,3,2,7,4,8,6,5]=>[5,6,8,4,7,2,3,1]
[7,2,1,6,3,8,5,4]=>[4,5,8,3,6,1,2,7]
[2,3,1,7,6,4,8,5]=>[5,8,4,6,7,1,3,2]
[4,5,2,1,7,3,8,6]=>[6,8,3,7,1,2,5,4]
[5,6,7,1,2,8,4,3]=>[3,4,8,2,1,7,6,5]
[4,7,5,1,2,8,6,3]=>[3,6,8,2,1,5,7,4]
[3,7,1,6,2,8,5,4]=>[4,5,8,2,6,1,7,3]
[7,6,1,2,8,5,4,3]=>[3,4,5,8,2,1,6,7]
[2,7,1,3,8,6,5,4]=>[4,5,6,8,3,1,7,2]
[8,6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6,8]
[1,7,2,3,8,6,5,4]=>[4,5,6,8,3,2,7,1]
[8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]
[7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]
[3,8,1,6,2,7,5,4]=>[4,5,7,2,6,1,8,3]
[4,8,5,1,2,7,6,3]=>[3,6,7,2,1,5,8,4]
[5,6,8,1,2,7,4,3]=>[3,4,7,2,1,8,6,5]
[2,1,3,7,4,8,6,5]=>[5,6,8,4,7,3,1,2]
[4,2,7,3,6,8,1,5]=>[5,1,8,6,3,7,2,4]
[5,3,6,4,2,8,1,7]=>[7,1,8,2,4,6,3,5]
[4,1,5,3,8,2,7,6]=>[6,7,2,8,3,5,1,4]
[5,2,6,4,7,3,1,8]=>[8,1,3,7,4,6,2,5]
[2,6,3,4,7,5,1,8]=>[8,1,5,7,4,3,6,2]
[2,6,3,5,4,8,1,7]=>[7,1,8,4,5,3,6,2]
[2,7,4,3,5,8,1,6]=>[6,1,8,5,3,4,7,2]
[7,3,6,4,2,8,1,5]=>[5,1,8,2,4,6,3,7]
[7,6,4,5,2,8,1,3]=>[3,1,8,2,5,4,6,7]
[5,4,3,1,8,2,7,6]=>[6,7,2,8,1,3,4,5]
[6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]
[5,4,1,7,2,6,3,8]=>[8,3,6,2,7,1,4,5]
[5,4,1,8,3,2,6,7]=>[7,6,2,3,8,1,4,5]
[6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]
[7,4,2,1,8,3,6,5]=>[5,6,3,8,1,2,4,7]
[6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]
[6,1,5,3,8,2,7,4]=>[4,7,2,8,3,5,1,6]
[4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]
[5,8,4,2,7,3,1,6]=>[6,1,3,7,2,4,8,5]
[8,2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2,8]
[8,6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6,8]
[8,5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5,8]
[8,3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3,8]
[7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]
[7,1,6,2,5,4,3,8]=>[8,3,4,5,2,6,1,7]
[8,1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1,8]
[8,6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6,8]
[8,1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1,8]
[1,7,6,8,3,2,4,5]=>[5,4,2,3,8,6,7,1]
[7,1,5,8,4,2,6,3]=>[3,6,2,4,8,5,1,7]
[7,3,8,4,5,2,6,1]=>[1,6,2,5,4,8,3,7]
[7,2,8,5,3,4,6,1]=>[1,6,4,3,5,8,2,7]
[6,1,8,4,3,2,5,7]=>[7,5,2,3,4,8,1,6]
[6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]
[1,2,7,3,4,6,5,8]=>[8,5,6,4,3,7,2,1]
[1,7,8,4,3,5,6,2]=>[2,6,5,3,4,8,7,1]
[1,6,2,8,3,5,7,4]=>[4,7,5,3,8,2,6,1]
[2,6,1,7,3,5,4,8]=>[8,4,5,3,7,1,6,2]
[3,1,5,8,4,2,6,7]=>[7,6,2,4,8,5,1,3]
[4,3,1,6,8,2,7,5]=>[5,7,2,8,6,1,3,4]
[5,7,4,8,3,2,1,6]=>[6,1,2,3,8,4,7,5]
[5,4,8,2,7,3,1,6]=>[6,1,3,7,2,8,4,5]
[5,2,8,7,3,4,1,6]=>[6,1,4,3,7,8,2,5]
[6,4,7,5,3,2,1,8]=>[8,1,2,3,5,7,4,6]
[1,8,3,7,6,2,4,5]=>[5,4,2,6,7,3,8,1]
[5,8,3,2,6,4,1,7]=>[7,1,4,6,2,3,8,5]
[6,8,2,4,7,5,1,3]=>[3,1,5,7,4,2,8,6]
[7,3,8,2,6,4,1,5]=>[5,1,4,6,2,8,3,7]
[4,6,8,2,7,3,1,5]=>[5,1,3,7,2,8,6,4]
[2,6,8,7,3,4,1,5]=>[5,1,4,3,7,8,6,2]
[7,2,8,6,3,5,1,4]=>[4,1,5,3,6,8,2,7]
[6,8,1,7,2,5,4,3]=>[3,4,5,2,7,1,8,6]
[3,8,7,4,5,6,1,2]=>[2,1,6,5,4,7,8,3]
[2,8,6,4,3,5,1,7]=>[7,1,5,3,4,6,8,2]
[2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]
[1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]
[1,8,6,5,3,2,4,7]=>[7,4,2,3,5,6,8,1]
[3,8,7,4,6,2,5,1]=>[1,5,2,6,4,7,8,3]
[5,8,3,7,6,2,4,1]=>[1,4,2,6,7,3,8,5]
[7,1,8,6,5,2,3,4]=>[4,3,2,5,6,8,1,7]
[8,4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4,8]
[8,7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7,8]
[6,8,3,2,5,4,7,1]=>[1,7,4,5,2,3,8,6]
[6,8,4,5,2,3,7,1]=>[1,7,3,2,5,4,8,6]
[1,5,7,8,4,3,6,2]=>[2,6,3,4,8,7,5,1]
[6,3,8,1,5,4,7,2]=>[2,7,4,5,1,8,3,6]
[6,2,1,8,5,4,7,3]=>[3,7,4,5,8,1,2,6]
[2,6,3,1,7,5,4,8]=>[8,4,5,7,1,3,6,2]
[2,6,5,7,4,1,3,8]=>[8,3,1,4,7,5,6,2]
[2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]
[2,4,7,5,8,1,6,3]=>[3,6,1,8,5,7,4,2]
[2,5,4,7,1,8,6,3]=>[3,6,8,1,7,4,5,2]
[5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]
[4,8,5,7,6,1,3,2]=>[2,3,1,6,7,5,8,4]
[4,8,6,7,5,3,1,2]=>[2,1,3,5,7,6,8,4]
[4,8,7,5,6,2,3,1]=>[1,3,2,6,5,7,8,4]
[6,5,4,8,2,1,7,3]=>[3,7,1,2,8,4,5,6]
[5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]
[1,5,7,4,8,2,6,3]=>[3,6,2,8,4,7,5,1]
[1,5,7,3,2,8,6,4]=>[4,6,8,2,3,7,5,1]
[5,8,3,2,7,6,4,1]=>[1,4,6,7,2,3,8,5]
[5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]
[3,5,7,4,2,6,1,8]=>[8,1,6,2,4,7,5,3]
[3,6,4,5,1,2,7,8]=>[8,7,2,1,5,4,6,3]
[4,2,1,6,5,3,7,8]=>[8,7,3,5,6,1,2,4]
[4,2,1,5,7,6,3,8]=>[8,3,6,7,5,1,2,4]
[4,3,5,1,7,6,2,8]=>[8,2,6,7,1,5,3,4]
[3,5,4,7,1,6,2,8]=>[8,2,6,1,7,4,5,3]
[3,4,7,5,6,1,2,8]=>[8,2,1,6,5,7,4,3]
[3,4,5,8,6,7,1,2]=>[2,1,7,6,8,5,4,3]
[3,5,4,6,1,8,7,2]=>[2,7,8,1,6,4,5,3]
[4,3,5,1,6,8,7,2]=>[2,7,8,6,1,5,3,4]
[4,2,1,5,6,8,7,3]=>[3,7,8,6,5,1,2,4]
[2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]
[4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]
[4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]
[7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]
[7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]
[8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]
[7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]
[5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]
[5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]
[5,1,8,2,4,3,7,6]=>[6,7,3,4,2,8,1,5]
[8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]
[6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]
[6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]
[8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]
[8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]
[6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]
[6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]
[6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]
[6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]
[5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]
[7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]
[7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]
[7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]
[7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]
[7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7]
[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]
[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]
[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]
[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]
[7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]
[4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]
[7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]
[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]
[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]
[1,8,5,4,7,2,6,3]=>[3,6,2,7,4,5,8,1]
[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]
[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]
[7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]
[4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]
[7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]
[6,4,8,2,1,3,7,5]=>[5,7,3,1,2,8,4,6]
[7,3,8,1,5,6,2,4]=>[4,2,6,5,1,8,3,7]
[3,1,7,2,6,8,4,5]=>[5,4,8,6,2,7,1,3]
[5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]
[4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]
[5,4,3,7,1,2,8,6]=>[6,8,2,1,7,3,4,5]
[4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]
[6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]
[5,4,2,7,1,6,8,3]=>[3,8,6,1,7,2,4,5]
[6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]
[6,3,2,8,5,7,1,4]=>[4,1,7,5,8,2,3,6]
[6,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,6]
[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]
[6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]
[7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]
[7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]
[6,3,8,1,7,5,2,4]=>[4,2,5,7,1,8,3,6]
[6,5,8,3,1,7,4,2]=>[2,4,7,1,3,8,5,6]
[5,4,8,2,1,7,3,6]=>[6,3,7,1,2,8,4,5]
[5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]
[5,4,3,7,1,6,2,8]=>[8,2,6,1,7,3,4,5]
[6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]
[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]
[7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]
[7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]
[2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]
[6,4,1,7,8,2,3,5]=>[5,3,2,8,7,1,4,6]
[4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]
[4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]
[5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]
[4,1,5,3,2,8,6,7]=>[7,6,8,2,3,5,1,4]
[3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]
[6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]
[5,4,1,7,8,2,6,3]=>[3,6,2,8,7,1,4,5]
[5,4,2,6,1,8,7,3]=>[3,7,8,1,6,2,4,5]
[6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]
[5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]
[6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]
[5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]
[4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]
[5,4,2,1,6,7,8,3]=>[3,8,7,6,1,2,4,5]
[5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]
[6,3,8,1,2,5,7,4]=>[4,7,5,2,1,8,3,6]
[3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]
[7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]
[7,8,1,3,2,4,6,5]=>[5,6,4,2,3,1,8,7]
[7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]
[5,2,3,7,1,8,6,4]=>[4,6,8,1,7,3,2,5]
[2,5,3,6,1,8,7,4]=>[4,7,8,1,6,3,5,2]
[2,6,7,3,1,8,4,5]=>[5,4,8,1,3,7,6,2]
[2,6,7,1,3,5,4,8]=>[8,4,5,3,1,7,6,2]
[6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]
[3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]
[4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]
[5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]
[5,1,4,7,8,2,3,6]=>[6,3,2,8,7,4,1,5]
[5,3,4,7,8,6,1,2]=>[2,1,6,8,7,4,3,5]
[3,5,4,6,8,7,1,2]=>[2,1,7,8,6,4,5,3]
[1,5,4,6,8,2,3,7]=>[7,3,2,8,6,4,5,1]
[1,6,7,3,2,4,8,5]=>[5,8,4,2,3,7,6,1]
[1,5,3,6,2,7,8,4]=>[4,8,7,2,6,3,5,1]
[5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]
[5,2,4,7,8,1,6,3]=>[3,6,1,8,7,4,2,5]
[4,2,5,7,6,1,8,3]=>[3,8,1,6,7,5,2,4]
[4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]
[5,3,1,8,2,6,7,4]=>[4,7,6,2,8,1,3,5]
[6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]
[4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]
[4,1,5,7,6,2,3,8]=>[8,3,2,6,7,5,1,4]
[4,5,1,8,6,2,3,7]=>[7,3,2,6,8,1,5,4]
[5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]
[3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]
[7,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,7]
[7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]
[7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]
[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]
[7,6,5,4,1,8,3,2]=>[2,3,8,1,4,5,6,7]
[7,6,5,2,8,1,4,3]=>[3,4,1,8,2,5,6,7]
[7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]
[7,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,7]
[7,8,6,3,2,1,5,4]=>[4,5,1,2,3,6,8,7]
[8,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,8]
[7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]
[4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]
[7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]
[7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]
[3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]
[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]
[2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]
[2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]
[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]
[4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]
[6,4,7,1,5,2,3,8]=>[8,3,2,5,1,7,4,6]
[6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]
[3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]
[3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]
[5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]
[3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]
[1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]
[1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]
[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]
[5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]
[5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]
[2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]
[2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]
[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]
[4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]
[4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]
[5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]
[6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]
[6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]
[6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]
[5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]
[5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]
[7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]
[7,3,5,4,2,1,6,8]=>[8,6,1,2,4,5,3,7]
[7,3,5,2,4,1,6,8]=>[8,6,1,4,2,5,3,7]
[7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]
[1,3,6,7,5,2,8,4]=>[4,8,2,5,7,6,3,1]
[7,3,4,1,6,2,5,8]=>[8,5,2,6,1,4,3,7]
[7,3,4,1,6,5,2,8]=>[8,2,5,6,1,4,3,7]
[7,3,4,1,5,6,2,8]=>[8,2,6,5,1,4,3,7]
[7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]
[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]
[7,3,4,1,5,2,6,8]=>[8,6,2,5,1,4,3,7]
[1,3,6,7,2,5,8,4]=>[4,8,5,2,7,6,3,1]
[1,7,4,6,2,8,5,3]=>[3,5,8,2,6,4,7,1]
[4,3,1,7,2,6,8,5]=>[5,8,6,2,7,1,3,4]
[5,6,1,4,7,3,8,2]=>[2,8,3,7,4,1,6,5]
[5,3,2,1,7,4,8,6]=>[6,8,4,7,1,2,3,5]
[1,3,4,5,8,7,2,6]=>[6,2,7,8,5,4,3,1]
[6,3,4,5,8,1,7,2]=>[2,7,1,8,5,4,3,6]
[2,4,5,1,6,8,7,3]=>[3,7,8,6,1,5,4,2]
[3,1,2,5,6,8,7,4]=>[4,7,8,6,5,2,1,3]
[4,3,2,5,6,8,1,7]=>[7,1,8,6,5,2,3,4]
[3,7,5,4,6,8,1,2]=>[2,1,8,6,4,5,7,3]
[3,1,4,6,5,8,2,7]=>[7,2,8,5,6,4,1,3]
[2,3,4,5,8,6,1,7]=>[7,1,6,8,5,4,3,2]
[2,3,4,5,8,1,7,6]=>[6,7,1,8,5,4,3,2]
[3,1,4,6,5,8,7,2]=>[2,7,8,5,6,4,1,3]
[3,7,5,4,6,8,2,1]=>[1,2,8,6,4,5,7,3]
[5,6,1,4,7,2,8,3]=>[3,8,2,7,4,1,6,5]
[4,3,1,7,5,6,8,2]=>[2,8,6,5,7,1,3,4]
[4,3,1,7,6,5,8,2]=>[2,8,5,6,7,1,3,4]
[3,1,4,6,7,8,5,2]=>[2,5,8,7,6,4,1,3]
[1,4,5,2,6,8,7,3]=>[3,7,8,6,2,5,4,1]
[3,7,5,2,6,8,1,4]=>[4,1,8,6,2,5,7,3]
[3,7,5,2,6,8,4,1]=>[1,4,8,6,2,5,7,3]
[5,6,1,2,7,4,8,3]=>[3,8,4,7,2,1,6,5]
[6,3,5,2,4,7,8,1]=>[1,8,7,4,2,5,3,6]
[5,3,2,1,4,7,8,6]=>[6,8,7,4,1,2,3,5]
[5,3,1,4,2,7,8,6]=>[6,8,7,2,4,1,3,5]
[5,3,1,2,4,7,8,6]=>[6,8,7,4,2,1,3,5]
[7,1,5,2,6,8,4,3]=>[3,4,8,6,2,5,1,7]
[7,1,5,2,6,8,3,4]=>[4,3,8,6,2,5,1,7]
[1,7,4,6,5,8,3,2]=>[2,3,8,5,6,4,7,1]
[2,7,4,6,1,8,3,5]=>[5,3,8,1,6,4,7,2]
[2,7,4,6,1,8,5,3]=>[3,5,8,1,6,4,7,2]
[2,3,6,7,1,5,8,4]=>[4,8,5,1,7,6,3,2]
[2,3,6,7,5,1,8,4]=>[4,8,1,5,7,6,3,2]
[4,3,2,6,7,1,8,5]=>[5,8,1,7,6,2,3,4]
[7,3,2,5,6,8,1,4]=>[4,1,8,6,5,2,3,7]
[7,1,5,4,6,8,2,3]=>[3,2,8,6,4,5,1,7]
[2,7,4,6,5,8,1,3]=>[3,1,8,5,6,4,7,2]
[7,3,4,5,8,6,1,2]=>[2,1,6,8,5,4,3,7]
[7,3,4,5,8,1,6,2]=>[2,6,1,8,5,4,3,7]
[7,3,4,5,8,1,2,6]=>[6,2,1,8,5,4,3,7]
[1,3,4,5,8,6,2,7]=>[7,2,6,8,5,4,3,1]
[1,3,4,5,8,2,7,6]=>[6,7,2,8,5,4,3,1]
[6,3,4,5,8,2,1,7]=>[7,1,2,8,5,4,3,6]
[6,3,4,5,8,2,7,1]=>[1,7,2,8,5,4,3,6]
[7,3,4,5,8,6,2,1]=>[1,2,6,8,5,4,3,7]
[2,7,4,6,5,8,3,1]=>[1,3,8,5,6,4,7,2]
[7,1,5,4,6,8,3,2]=>[2,3,8,6,4,5,1,7]
[7,3,2,5,6,8,4,1]=>[1,4,8,6,5,2,3,7]
[5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]
[6,3,4,5,8,1,2,7]=>[7,2,1,8,5,4,3,6]
[7,3,4,5,8,2,1,6]=>[6,1,2,8,5,4,3,7]
[7,3,4,5,8,2,6,1]=>[1,6,2,8,5,4,3,7]
[4,7,6,1,8,2,5,3]=>[3,5,2,8,1,6,7,4]
[4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]
[4,7,8,2,6,1,5,3]=>[3,5,1,6,2,8,7,4]
[7,6,4,2,8,3,5,1]=>[1,5,3,8,2,4,6,7]
[8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]
[8,4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4,8]
[8,4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4,8]
[6,4,7,1,8,3,2,5]=>[5,2,3,8,1,7,4,6]
[7,4,8,3,6,1,5,2]=>[2,5,1,6,3,8,4,7]
[7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]
[6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]
[2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]
[2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]
[2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]
[2,6,3,1,4,8,5,7]=>[7,5,8,4,1,3,6,2]
[4,2,1,8,3,6,7,5]=>[5,7,6,3,8,1,2,4]
[2,1,8,6,3,5,7,4]=>[4,7,5,3,6,8,1,2]
[6,2,1,7,3,5,8,4]=>[4,8,5,3,7,1,2,6]
[2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]
[3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]
[3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]
[2,1,7,3,6,8,4,5]=>[5,4,8,6,3,7,1,2]
[2,7,3,1,5,6,8,4]=>[4,8,6,5,1,3,7,2]
[2,4,7,5,1,6,8,3]=>[3,8,6,1,5,7,4,2]
[4,3,7,5,6,1,8,2]=>[2,8,1,6,5,7,3,4]
[4,3,6,8,5,1,7,2]=>[2,7,1,5,8,6,3,4]
[2,6,1,8,3,5,7,4]=>[4,7,5,3,8,1,6,2]
[2,1,6,8,3,7,4,5]=>[5,4,7,3,8,6,1,2]
[2,1,8,3,5,7,4,6]=>[6,4,7,5,3,8,1,2]
[3,2,1,5,6,8,4,7]=>[7,4,8,6,5,1,2,3]
[3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]
[2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]
[2,1,6,3,5,8,4,7]=>[7,4,8,5,3,6,1,2]
[8,2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2,8]
[3,8,4,7,5,1,6,2]=>[2,6,1,5,7,4,8,3]
[8,4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4,8]
[8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]
[2,6,1,8,3,5,4,7]=>[7,4,5,3,8,1,6,2]
[2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]
[2,4,7,5,1,6,3,8]=>[8,3,6,1,5,7,4,2]
[8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]
[5,8,6,3,1,7,4,2]=>[2,4,7,1,3,6,8,5]
[2,4,7,1,8,5,3,6]=>[6,3,5,8,1,7,4,2]
[2,4,8,5,1,6,3,7]=>[7,3,6,1,5,8,4,2]
[6,2,1,7,3,4,8,5]=>[5,8,4,3,7,1,2,6]
[6,2,1,7,8,3,5,4]=>[4,5,3,8,7,1,2,6]
[2,7,1,8,3,5,6,4]=>[4,6,5,3,8,1,7,2]
[2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]
[3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]
[3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]
[3,2,1,6,8,4,5,7]=>[7,5,4,8,6,1,2,3]
[2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]
[2,1,8,3,6,7,4,5]=>[5,4,7,6,3,8,1,2]
[2,4,8,5,1,6,7,3]=>[3,7,6,1,5,8,4,2]
[4,3,8,5,6,1,7,2]=>[2,7,1,6,5,8,3,4]
[3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]
[1,6,8,3,7,2,4,5]=>[5,4,2,7,3,8,6,1]
[3,8,1,5,7,2,4,6]=>[6,4,2,7,5,1,8,3]
[1,2,6,8,4,7,3,5]=>[5,3,7,4,8,6,2,1]
[6,1,5,8,2,4,7,3]=>[3,7,4,2,8,5,1,6]
[1,2,4,8,3,6,7,5]=>[5,7,6,3,8,4,2,1]
[4,1,2,7,8,3,6,5]=>[5,6,3,8,7,2,1,4]
[3,5,7,4,8,6,1,2]=>[2,1,6,8,4,7,5,3]
[5,3,8,4,7,6,1,2]=>[2,1,6,7,4,8,3,5]
[8,7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7,8]
[5,8,1,2,3,7,6,4]=>[4,6,7,3,2,1,8,5]
[1,2,8,4,3,5,7,6]=>[6,7,5,3,4,8,2,1]
[1,2,5,3,7,6,4,8]=>[8,4,6,7,3,5,2,1]
[6,1,2,8,7,4,5,3]=>[3,5,4,7,8,2,1,6]
[7,1,6,2,8,4,5,3]=>[3,5,4,8,2,6,1,7]
[1,2,6,3,8,5,4,7]=>[7,4,5,8,3,6,2,1]
[1,2,8,5,3,6,4,7]=>[7,4,6,3,5,8,2,1]
[1,2,7,3,8,5,4,6]=>[6,4,5,8,3,7,2,1]
[4,1,2,7,8,6,3,5]=>[5,3,6,8,7,2,1,4]
[1,6,2,8,4,3,5,7]=>[7,5,3,4,8,2,6,1]
[1,6,4,2,7,3,5,8]=>[8,5,3,7,2,4,6,1]
[1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]
[1,7,3,2,8,4,5,6]=>[6,5,4,8,2,3,7,1]
[3,1,7,8,6,2,4,5]=>[5,4,2,6,8,7,1,3]
[1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1]
[1,8,7,3,5,6,2,4]=>[4,2,6,5,3,7,8,1]
[1,3,2,8,7,4,5,6]=>[6,5,4,7,8,2,3,1]
[1,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,1]
[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]
[1,2,8,4,3,7,5,6]=>[6,5,7,3,4,8,2,1]
[8,5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5,8]
[5,3,8,7,4,6,1,2]=>[2,1,6,4,7,8,3,5]
[3,8,6,4,7,5,1,2]=>[2,1,5,7,4,6,8,3]
[6,1,8,2,7,4,5,3]=>[3,5,4,7,2,8,1,6]
[1,2,5,3,8,6,4,7]=>[7,4,6,8,3,5,2,1]
[1,2,7,5,3,6,4,8]=>[8,4,6,3,5,7,2,1]
[1,2,6,3,7,5,4,8]=>[8,4,5,7,3,6,2,1]
[1,2,3,7,5,4,8,6]=>[6,8,4,5,7,3,2,1]
[3,7,4,8,6,5,1,2]=>[2,1,5,6,8,4,7,3]
[1,8,2,7,6,4,5,3]=>[3,5,4,6,7,2,8,1]
[2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]
[7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]
[2,7,6,3,1,5,8,4]=>[4,8,5,1,3,6,7,2]
[1,8,4,3,6,5,2,7]=>[7,2,5,6,3,4,8,1]
[1,8,4,6,5,3,2,7]=>[7,2,3,5,6,4,8,1]
[7,4,2,1,6,5,3,8]=>[8,3,5,6,1,2,4,7]
[7,6,1,4,3,5,2,8]=>[8,2,5,3,4,1,6,7]
[7,4,1,3,5,2,6,8]=>[8,6,2,5,3,1,4,7]
[7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]
[1,8,6,3,4,5,2,7]=>[7,2,5,4,3,6,8,1]
[1,8,6,7,4,2,5,3]=>[3,5,2,4,7,6,8,1]
[3,6,2,1,4,8,5,7]=>[7,5,8,4,1,2,6,3]
[3,1,7,2,4,6,8,5]=>[5,8,6,4,2,7,1,3]
[3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3]
[3,6,7,4,1,5,8,2]=>[2,8,5,1,4,7,6,3]
[4,3,2,7,1,5,8,6]=>[6,8,5,1,7,2,3,4]
[3,1,2,8,6,5,4,7]=>[7,4,5,6,8,2,1,3]
[5,4,8,6,1,2,3,7]=>[7,3,2,1,6,8,4,5]
[5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]
[1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]
[6,5,8,2,3,7,1,4]=>[4,1,7,3,2,8,5,6]
[6,4,8,5,3,1,7,2]=>[2,7,1,3,5,8,4,6]
[5,7,8,6,1,3,2,4]=>[4,2,3,1,6,8,7,5]
[2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]
[3,1,2,8,6,4,7,5]=>[5,7,4,6,8,2,1,3]
[5,3,2,6,4,8,1,7]=>[7,1,8,4,6,2,3,5]
[4,1,6,3,5,8,2,7]=>[7,2,8,5,3,6,1,4]
[2,4,5,3,8,6,1,7]=>[7,1,6,8,3,5,4,2]
[1,8,5,3,2,7,6,4]=>[4,6,7,2,3,5,8,1]
[1,8,4,5,2,6,7,3]=>[3,7,6,2,5,4,8,1]
[4,1,2,7,6,5,8,3]=>[3,8,5,6,7,2,1,4]
[2,4,1,6,7,8,5,3]=>[3,5,8,7,6,1,4,2]
[1,8,4,3,6,2,7,5]=>[5,7,2,6,3,4,8,1]
[5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]
[2,5,7,3,6,8,4,1]=>[1,4,8,6,3,7,5,2]
[5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]
[5,3,1,4,2,8,6,7]=>[7,6,8,2,4,1,3,5]
[7,6,1,3,8,5,4,2]=>[2,4,5,8,3,1,6,7]
[3,4,7,8,1,2,6,5]=>[5,6,2,1,8,7,4,3]
[3,6,7,8,1,4,5,2]=>[2,5,4,1,8,7,6,3]
[3,6,2,8,1,5,4,7]=>[7,4,5,1,8,2,6,3]
[2,3,6,8,5,1,4,7]=>[7,4,1,5,8,6,3,2]
[3,1,6,4,8,2,5,7]=>[7,5,2,8,4,6,1,3]
[7,3,2,6,8,5,1,4]=>[4,1,5,8,6,2,3,7]
[7,3,5,8,4,6,1,2]=>[2,1,6,4,8,5,3,7]
[7,5,2,8,4,1,6,3]=>[3,6,1,4,8,2,5,7]
[7,4,5,8,2,1,3,6]=>[6,3,1,2,8,5,4,7]
[1,8,5,2,4,6,3,7]=>[7,3,6,4,2,5,8,1]
[1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]
[6,4,2,8,3,5,1,7]=>[7,1,5,3,8,2,4,6]
[6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]
[7,5,4,8,3,6,2,1]=>[1,2,6,3,8,4,5,7]
[2,7,4,8,5,3,6,1]=>[1,6,3,5,8,4,7,2]
[7,1,5,4,8,3,6,2]=>[2,6,3,8,4,5,1,7]
[7,3,2,5,8,4,6,1]=>[1,6,4,8,5,2,3,7]
[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]
[7,4,6,3,8,5,1,2]=>[2,1,5,8,3,6,4,7]
[2,5,6,8,3,4,1,7]=>[7,1,4,3,8,6,5,2]
[8,4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4,8]
[8,5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5,8]
[2,5,6,8,4,3,1,7]=>[7,1,3,4,8,6,5,2]
[2,5,7,8,4,1,3,6]=>[6,3,1,4,8,7,5,2]
[6,5,7,8,4,1,3,2]=>[2,3,1,4,8,7,5,6]
[7,5,6,8,2,4,1,3]=>[3,1,4,2,8,6,5,7]
[7,4,6,2,8,5,1,3]=>[3,1,5,8,2,6,4,7]
[4,3,2,6,8,5,1,7]=>[7,1,5,8,6,2,3,4]
[3,5,6,8,2,4,1,7]=>[7,1,4,2,8,6,5,3]
[3,5,6,8,4,2,1,7]=>[7,1,2,4,8,6,5,3]
[2,6,7,8,1,4,5,3]=>[3,5,4,1,8,7,6,2]
[3,6,7,8,1,4,2,5]=>[5,2,4,1,8,7,6,3]
[3,5,7,8,2,1,4,6]=>[6,4,1,2,8,7,5,3]
[2,6,7,8,1,4,3,5]=>[5,3,4,1,8,7,6,2]
[6,5,7,8,3,1,4,2]=>[2,4,1,3,8,7,5,6]
[2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]
[2,4,7,3,8,1,5,6]=>[6,5,1,8,3,7,4,2]
[6,4,7,3,8,1,5,2]=>[2,5,1,8,3,7,4,6]
[6,4,7,3,8,1,2,5]=>[5,2,1,8,3,7,4,6]
[7,4,6,3,8,2,1,5]=>[5,1,2,8,3,6,4,7]
[6,3,2,5,4,8,1,7]=>[7,1,8,4,5,2,3,6]
[6,4,5,2,3,8,1,7]=>[7,1,8,3,2,5,4,6]
[6,4,5,3,2,8,1,7]=>[7,1,8,2,3,5,4,6]
[5,4,6,3,8,2,1,7]=>[7,1,2,8,3,6,4,5]
[5,4,7,3,8,1,6,2]=>[2,6,1,8,3,7,4,5]
[2,5,7,8,3,1,6,4]=>[4,6,1,3,8,7,5,2]
[4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]
[4,5,6,8,2,3,1,7]=>[7,1,3,2,8,6,5,4]
[5,4,6,2,8,3,1,7]=>[7,1,3,8,2,6,4,5]
[5,3,2,6,8,4,1,7]=>[7,1,4,8,6,2,3,5]
[5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]
[4,5,7,8,2,1,3,6]=>[6,3,1,2,8,7,5,4]
[4,6,7,8,1,3,2,5]=>[5,2,3,1,8,7,6,4]
[4,6,7,8,1,3,5,2]=>[2,5,3,1,8,7,6,4]
[2,6,7,8,1,3,5,4]=>[4,5,3,1,8,7,6,2]
[2,6,7,8,1,5,3,4]=>[4,3,5,1,8,7,6,2]
[4,6,7,8,1,5,2,3]=>[3,2,5,1,8,7,6,4]
[4,6,7,8,1,2,5,3]=>[3,5,2,1,8,7,6,4]
[4,5,7,8,2,1,6,3]=>[3,6,1,2,8,7,5,4]
[5,4,7,2,8,1,6,3]=>[3,6,1,8,2,7,4,5]
[5,3,2,7,8,1,6,4]=>[4,6,1,8,7,2,3,5]
[4,3,2,7,8,1,6,5]=>[5,6,1,8,7,2,3,4]
[3,5,7,8,2,1,6,4]=>[4,6,1,2,8,7,5,3]
[3,6,7,8,1,2,5,4]=>[4,5,2,1,8,7,6,3]
[3,6,7,8,1,5,2,4]=>[4,2,5,1,8,7,6,3]
[3,6,7,8,1,5,4,2]=>[2,4,5,1,8,7,6,3]
[2,6,7,8,1,5,4,3]=>[3,4,5,1,8,7,6,2]
[4,2,7,1,5,3,8,6]=>[6,8,3,5,1,7,2,4]
[4,2,8,6,1,5,3,7]=>[7,3,5,1,6,8,2,4]
[3,2,6,7,5,1,4,8]=>[8,4,1,5,7,6,2,3]
[2,7,1,3,5,4,8,6]=>[6,8,4,5,3,1,7,2]
[4,7,2,1,5,8,6,3]=>[3,6,8,5,1,2,7,4]
[7,2,1,3,5,8,6,4]=>[4,6,8,5,3,1,2,7]
[2,3,6,4,7,1,5,8]=>[8,5,1,7,4,6,3,2]
[1,3,4,8,2,7,5,6]=>[6,5,7,2,8,4,3,1]
[3,1,4,8,2,6,7,5]=>[5,7,6,2,8,4,1,3]
[8,3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3,8]
[4,8,6,2,1,5,7,3]=>[3,7,5,1,2,6,8,4]
[4,8,3,6,5,1,7,2]=>[2,7,1,5,6,3,8,4]
[6,4,7,3,5,1,8,2]=>[2,8,1,5,3,7,4,6]
[6,4,7,5,1,8,2,3]=>[3,2,8,1,5,7,4,6]
[3,6,1,7,5,8,2,4]=>[4,2,8,5,7,1,6,3]
[7,3,5,1,6,8,2,4]=>[4,2,8,6,1,5,3,7]
[4,7,3,5,6,1,8,2]=>[2,8,1,6,5,3,7,4]
[3,4,6,8,5,1,7,2]=>[2,7,1,5,8,6,4,3]
[4,6,8,2,1,5,7,3]=>[3,7,5,1,2,8,6,4]
[6,8,2,1,3,5,7,4]=>[4,7,5,3,1,2,8,6]
[1,8,2,3,5,7,4,6]=>[6,4,7,5,3,2,8,1]
[2,7,3,6,1,4,5,8]=>[8,5,4,1,6,3,7,2]
[2,6,1,3,5,8,4,7]=>[7,4,8,5,3,1,6,2]
[7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]
[4,7,5,2,6,1,3,8]=>[8,3,1,6,2,5,7,4]
[4,6,2,8,1,5,3,7]=>[7,3,5,1,8,2,6,4]
[8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]
[4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]
[8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]
[1,6,2,7,4,8,3,5]=>[5,3,8,4,7,2,6,1]
[6,2,1,7,8,5,3,4]=>[4,3,5,8,7,1,2,6]
[6,7,3,8,4,1,5,2]=>[2,5,1,4,8,3,7,6]
[2,7,8,4,1,5,6,3]=>[3,6,5,1,4,8,7,2]
[2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]
[8,2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2,8]
[8,2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2,8]
[3,8,4,5,6,1,7,2]=>[2,7,1,6,5,4,8,3]
[4,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,4]
[4,5,8,3,7,6,1,2]=>[2,1,6,7,3,8,5,4]
[4,2,8,3,7,1,6,5]=>[5,6,1,7,3,8,2,4]
[7,2,3,4,8,1,6,5]=>[5,6,1,8,4,3,2,7]
[7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]
[7,6,3,4,8,5,1,2]=>[2,1,5,8,4,3,6,7]
[7,6,3,5,8,4,1,2]=>[2,1,4,8,5,3,6,7]
[7,6,3,8,4,5,1,2]=>[2,1,5,4,8,3,6,7]
[7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]
[2,6,4,8,1,5,7,3]=>[3,7,5,1,8,4,6,2]
[7,2,3,8,4,1,5,6]=>[6,5,1,4,8,3,2,7]
[7,2,3,5,8,1,4,6]=>[6,4,1,8,5,3,2,7]
[7,8,2,3,6,1,4,5]=>[5,4,1,6,3,2,8,7]
[7,8,2,3,6,1,5,4]=>[4,5,1,6,3,2,8,7]
[4,2,6,3,7,1,5,8]=>[8,5,1,7,3,6,2,4]
[7,2,3,5,8,1,6,4]=>[4,6,1,8,5,3,2,7]
[7,2,3,8,4,1,6,5]=>[5,6,1,4,8,3,2,7]
[2,6,4,8,1,3,7,5]=>[5,7,3,1,8,4,6,2]
[3,6,4,8,1,7,5,2]=>[2,5,7,1,8,4,6,3]
[7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]
[7,6,5,1,4,2,8,3]=>[3,8,2,4,1,5,6,7]
[2,6,4,5,1,8,7,3]=>[3,7,8,1,5,4,6,2]
[3,5,6,4,1,2,7,8]=>[8,7,2,1,4,6,5,3]
[7,8,5,4,1,2,6,3]=>[3,6,2,1,4,5,8,7]
[3,5,6,4,1,2,8,7]=>[7,8,2,1,4,6,5,3]
[7,6,5,1,4,2,3,8]=>[8,3,2,4,1,5,6,7]
[7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]
[7,6,5,1,2,4,8,3]=>[3,8,4,2,1,5,6,7]
[7,6,5,1,3,2,8,4]=>[4,8,2,3,1,5,6,7]
[7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]
[7,6,5,1,3,4,2,8]=>[8,2,4,3,1,5,6,7]
[7,2,3,4,5,1,8,6]=>[6,8,1,5,4,3,2,7]
[2,6,4,3,1,5,8,7]=>[7,8,5,1,3,4,6,2]
[2,6,4,3,1,8,5,7]=>[7,5,8,1,3,4,6,2]
[2,6,4,3,1,8,7,5]=>[5,7,8,1,3,4,6,2]
[3,5,8,4,1,2,7,6]=>[6,7,2,1,4,8,5,3]
[3,5,8,4,1,2,6,7]=>[7,6,2,1,4,8,5,3]
[3,5,8,4,1,6,2,7]=>[7,2,6,1,4,8,5,3]
[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]
[3,5,8,4,1,6,7,2]=>[2,7,6,1,4,8,5,3]
[2,5,8,4,1,7,3,6]=>[6,3,7,1,4,8,5,2]
[3,6,4,2,1,7,8,5]=>[5,8,7,1,2,4,6,3]
[3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]
[3,5,6,4,1,8,7,2]=>[2,7,8,1,4,6,5,3]
[2,6,4,5,1,3,7,8]=>[8,7,3,1,5,4,6,2]
[7,6,5,1,4,3,8,2]=>[2,8,3,4,1,5,6,7]
[7,6,5,1,2,8,4,3]=>[3,4,8,2,1,5,6,7]
[7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]
[7,6,5,1,8,2,4,3]=>[3,4,2,8,1,5,6,7]
[7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]
[7,6,5,1,8,3,2,4]=>[4,2,3,8,1,5,6,7]
[7,6,5,1,4,8,2,3]=>[3,2,8,4,1,5,6,7]
[3,6,4,5,1,7,2,8]=>[8,2,7,1,5,4,6,3]
[2,5,6,4,1,7,8,3]=>[3,8,7,1,4,6,5,2]
[7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]
[2,5,6,4,1,7,3,8]=>[8,3,7,1,4,6,5,2]
[3,6,4,5,1,7,8,2]=>[2,8,7,1,5,4,6,3]
[7,6,5,1,4,8,3,2]=>[2,3,8,4,1,5,6,7]
[7,6,5,1,8,3,4,2]=>[2,4,3,8,1,5,6,7]
[7,6,5,1,8,4,2,3]=>[3,2,4,8,1,5,6,7]
[4,1,7,6,2,8,5,3]=>[3,5,8,2,6,7,1,4]
[7,8,6,2,1,3,5,4]=>[4,5,3,1,2,6,8,7]
[3,7,6,1,2,8,4,5]=>[5,4,8,2,1,6,7,3]
[2,6,5,3,1,4,8,7]=>[7,8,4,1,3,5,6,2]
[4,6,1,5,3,2,8,7]=>[7,8,2,3,5,1,6,4]
[3,6,1,4,2,5,8,7]=>[7,8,5,2,4,1,6,3]
[2,6,4,5,7,8,1,3]=>[3,1,8,7,5,4,6,2]
[8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]
[7,2,5,6,8,1,3,4]=>[4,3,1,8,6,5,2,7]
[6,1,3,4,2,8,7,5]=>[5,7,8,2,4,3,1,6]
[2,4,5,6,1,8,7,3]=>[3,7,8,1,6,5,4,2]
[8,4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4,8]
[2,8,3,4,7,5,1,6]=>[6,1,5,7,4,3,8,2]
[6,8,2,7,4,3,5,1]=>[1,5,3,4,7,2,8,6]
[4,7,8,5,1,6,3,2]=>[2,3,6,1,5,8,7,4]
[8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]
[4,8,6,1,7,3,2,5]=>[5,2,3,7,1,6,8,4]
[8,7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7,8]
[3,8,5,1,7,2,4,6]=>[6,4,2,7,1,5,8,3]
[6,8,7,1,3,2,4,5]=>[5,4,2,3,1,7,8,6]
[2,5,1,8,7,4,6,3]=>[3,6,4,7,8,1,5,2]
[3,7,1,8,4,5,6,2]=>[2,6,5,4,8,1,7,3]
[6,2,3,8,4,7,5,1]=>[1,5,7,4,8,3,2,6]
[8,6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6,8]
[8,3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3,8]
[7,1,3,8,6,4,5,2]=>[2,5,4,6,8,3,1,7]
[2,3,5,8,6,7,4,1]=>[1,4,7,6,8,5,3,2]
[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]
[4,6,7,2,5,8,3,1]=>[1,3,8,5,2,7,6,4]
[7,6,2,5,3,8,1,4]=>[4,1,8,3,5,2,6,7]
[6,2,1,3,4,8,7,5]=>[5,7,8,4,3,1,2,6]
[6,5,4,2,8,3,1,7]=>[7,1,3,8,2,4,5,6]
[5,4,3,1,8,7,2,6]=>[6,2,7,8,1,3,4,5]
[6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]
[4,7,6,2,8,1,5,3]=>[3,5,1,8,2,6,7,4]
[6,4,5,1,7,8,3,2]=>[2,3,8,7,1,5,4,6]
[4,2,3,1,7,8,6,5]=>[5,6,8,7,1,3,2,4]
[3,4,2,1,8,6,7,5]=>[5,7,6,8,1,2,4,3]
[2,7,6,8,1,5,3,4]=>[4,3,5,1,8,6,7,2]
[6,4,5,8,3,1,2,7]=>[7,2,1,3,8,5,4,6]
[8,1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1,8]
[3,6,8,1,5,2,4,7]=>[7,4,2,5,1,8,6,3]
[3,2,8,7,4,5,1,6]=>[6,1,5,4,7,8,2,3]
[6,3,8,5,7,4,2,1]=>[1,2,4,7,5,8,3,6]
[7,4,6,8,5,1,2,3]=>[3,2,1,5,8,6,4,7]
[2,1,4,8,7,5,3,6]=>[6,3,5,7,8,4,1,2]
[2,1,6,8,3,7,5,4]=>[4,5,7,3,8,6,1,2]
[3,6,8,2,4,1,5,7]=>[7,5,1,4,2,8,6,3]
[6,2,8,1,7,5,4,3]=>[3,4,5,7,1,8,2,6]
[2,6,5,4,8,1,3,7]=>[7,3,1,8,4,5,6,2]
[6,5,3,4,8,1,7,2]=>[2,7,1,8,4,3,5,6]
[8,4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4,8]
[4,2,8,1,5,3,6,7]=>[7,6,3,5,1,8,2,4]
[5,1,8,2,6,4,3,7]=>[7,3,4,6,2,8,1,5]
[7,4,8,6,2,1,3,5]=>[5,3,1,2,6,8,4,7]
[4,6,2,8,3,7,5,1]=>[1,5,7,3,8,2,6,4]
[2,1,5,8,3,6,4,7]=>[7,4,6,3,8,5,1,2]
[2,8,5,3,6,7,1,4]=>[4,1,7,6,3,5,8,2]
[7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]
[5,8,4,1,6,3,7,2]=>[2,7,3,6,1,4,8,5]
[4,8,1,3,5,7,6,2]=>[2,6,7,5,3,1,8,4]
[3,8,1,4,5,6,2,7]=>[7,2,6,5,4,1,8,3]
[7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]
[7,8,6,3,5,1,4,2]=>[2,4,1,5,3,6,8,7]
[5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]
[6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]
[6,7,4,2,5,3,1,8]=>[8,1,3,5,2,4,7,6]
[7,6,4,8,3,1,5,2]=>[2,5,1,3,8,4,6,7]
[7,4,8,5,6,1,3,2]=>[2,3,1,6,5,8,4,7]
[7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]
[4,2,7,5,6,3,1,8]=>[8,1,3,6,5,7,2,4]
[3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]
[4,7,3,5,6,2,1,8]=>[8,1,2,6,5,3,7,4]
[3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]
[7,8,3,5,6,1,4,2]=>[2,4,1,6,5,3,8,7]
[1,6,8,5,2,7,4,3]=>[3,4,7,2,5,8,6,1]
[6,2,8,5,1,7,4,3]=>[3,4,7,1,5,8,2,6]
[6,7,4,8,2,1,5,3]=>[3,5,1,2,8,4,7,6]
[3,2,7,8,6,1,5,4]=>[4,5,1,6,8,7,2,3]
[6,8,4,1,2,3,7,5]=>[5,7,3,2,1,4,8,6]
[4,1,8,5,6,3,2,7]=>[7,2,3,6,5,8,1,4]
[1,8,2,5,6,4,3,7]=>[7,3,4,6,5,2,8,1]
[6,1,8,5,3,7,4,2]=>[2,4,7,3,5,8,1,6]
[3,8,1,5,2,7,6,4]=>[4,6,7,2,5,1,8,3]
[8,2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2,8]
[1,5,2,4,6,7,8,3]=>[3,8,7,6,4,2,5,1]
[4,1,5,3,6,7,8,2]=>[2,8,7,6,3,5,1,4]
[8,1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1,8]
[7,1,4,6,3,2,8,5]=>[5,8,2,3,6,4,1,7]
[3,2,6,4,1,7,8,5]=>[5,8,7,1,4,6,2,3]
[7,6,4,3,1,2,8,5]=>[5,8,2,1,3,4,6,7]
[8,6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6,8]
[4,5,3,1,6,7,8,2]=>[2,8,7,6,1,3,5,4]
[3,5,2,1,6,7,8,4]=>[4,8,7,6,1,2,5,3]
[5,2,3,1,6,7,8,4]=>[4,8,7,6,1,3,2,5]
[1,5,3,2,6,7,8,4]=>[4,8,7,6,2,3,5,1]
[8,4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4,8]
[7,5,4,6,1,2,8,3]=>[3,8,2,1,6,4,5,7]
[3,2,5,6,1,7,8,4]=>[4,8,7,1,6,5,2,3]
[3,2,8,7,6,1,4,5]=>[5,4,1,6,7,8,2,3]
[6,8,4,7,2,1,3,5]=>[5,3,1,2,7,4,8,6]
[3,8,7,5,6,1,2,4]=>[4,2,1,6,5,7,8,3]
[8,2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2,8]
[4,8,6,5,1,7,3,2]=>[2,3,7,1,5,6,8,4]
[1,7,4,6,2,3,8,5]=>[5,8,3,2,6,4,7,1]
[7,6,4,2,1,5,8,3]=>[3,8,5,1,2,4,6,7]
[5,7,4,6,1,3,8,2]=>[2,8,3,1,6,4,7,5]
[8,6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6,8]
[5,2,4,3,7,1,8,6]=>[6,8,1,7,3,4,2,5]
[3,5,4,2,7,1,8,6]=>[6,8,1,7,2,4,5,3]
[8,6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6,8]
[6,7,4,1,5,3,8,2]=>[2,8,3,5,1,4,7,6]
[7,5,4,1,2,6,8,3]=>[3,8,6,2,1,4,5,7]
[1,7,4,2,3,6,8,5]=>[5,8,6,3,2,4,7,1]
[1,8,2,5,3,7,6,4]=>[4,6,7,3,5,2,8,1]
[6,8,1,5,4,7,3,2]=>[2,3,7,4,5,1,8,6]
[8,2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2,8]
[3,8,1,5,6,4,2,7]=>[7,2,4,6,5,1,8,3]
[6,8,4,1,2,5,3,7]=>[7,3,5,2,1,4,8,6]
[3,2,8,1,6,5,4,7]=>[7,4,5,6,1,8,2,3]
[3,2,6,1,5,7,8,4]=>[4,8,7,5,1,6,2,3]
[7,6,4,1,5,2,8,3]=>[3,8,2,5,1,4,6,7]
[8,6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6,8]
[3,5,1,4,6,7,8,2]=>[2,8,7,6,4,1,5,3]
[5,2,1,4,6,7,8,3]=>[3,8,7,6,4,1,2,5]
[5,4,1,3,6,7,8,2]=>[2,8,7,6,3,1,4,5]
[8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]
[7,5,4,1,3,2,8,6]=>[6,8,2,3,1,4,5,7]
[3,2,5,1,4,7,8,6]=>[6,8,7,4,1,5,2,3]
[7,1,4,3,5,2,8,6]=>[6,8,2,5,3,4,1,7]
[8,1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1,8]
[5,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,5]
[3,1,8,2,5,7,4,6]=>[6,4,7,5,2,8,1,3]
[8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]
[2,8,1,6,4,3,7,5]=>[5,7,3,4,6,1,8,2]
[2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]
[2,5,7,1,3,8,6,4]=>[4,6,8,3,1,7,5,2]
[2,6,8,1,5,7,4,3]=>[3,4,7,5,1,8,6,2]
[2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]
[2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]
[2,7,1,6,5,3,8,4]=>[4,8,3,5,6,1,7,2]
[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]
[8,3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3,8]
[4,1,8,7,3,2,6,5]=>[5,6,2,3,7,8,1,4]
[4,1,7,2,8,6,5,3]=>[3,5,6,8,2,7,1,4]
[3,7,1,8,6,5,4,2]=>[2,4,5,6,8,1,7,3]
[3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]
[3,7,5,1,4,6,8,2]=>[2,8,6,4,1,5,7,3]
[3,6,8,5,1,4,7,2]=>[2,7,4,1,5,8,6,3]
[7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]
[7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]
[7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]
[7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]
[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]
[7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]
[7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]
[6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]
[4,6,8,5,1,7,3,2]=>[2,3,7,1,5,8,6,4]
[4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]
[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]
[5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]
[5,1,7,6,4,2,8,3]=>[3,8,2,4,6,7,1,5]
[5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]
[8,5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5,8]
[8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]
[5,1,8,6,3,2,7,4]=>[4,7,2,3,6,8,1,5]
[3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]
[4,1,8,6,3,7,2,5]=>[5,2,7,3,6,8,1,4]
[8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]
[3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]
[5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]
[5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]
[8,5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5,8]
[6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]
[6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]
[5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]
[5,7,4,2,8,1,3,6]=>[6,3,1,8,2,4,7,5]
[6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]
[8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]
[6,4,7,3,1,8,2,5]=>[5,2,8,1,3,7,4,6]
[5,7,4,3,8,6,1,2]=>[2,1,6,8,3,4,7,5]
[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]
[7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]
[7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]
[5,6,3,7,4,2,1,8]=>[8,1,2,4,7,3,6,5]
[7,6,3,8,5,1,4,2]=>[2,4,1,5,8,3,6,7]
[6,4,8,1,3,2,5,7]=>[7,5,2,3,1,8,4,6]
[7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]
[4,2,7,6,5,3,1,8]=>[8,1,3,5,6,7,2,4]
[3,7,2,4,6,5,1,8]=>[8,1,5,6,4,2,7,3]
[8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]
[1,6,8,4,2,5,3,7]=>[7,3,5,2,4,8,6,1]
[6,2,8,4,1,5,7,3]=>[3,7,5,1,4,8,2,6]
[6,7,4,8,5,1,2,3]=>[3,2,1,5,8,4,7,6]
[3,2,7,8,5,1,6,4]=>[4,6,1,5,8,7,2,3]
[3,2,8,1,5,4,6,7]=>[7,6,4,5,1,8,2,3]
[6,1,4,8,5,3,7,2]=>[2,7,3,5,8,4,1,6]
[1,4,8,5,2,6,7,3]=>[3,7,6,2,5,8,4,1]
[6,1,8,4,3,7,2,5]=>[5,2,7,3,4,8,1,6]
[3,7,1,4,2,5,8,6]=>[6,8,5,2,4,1,7,3]
[7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]
[4,1,5,3,6,8,2,7]=>[7,2,8,6,3,5,1,4]
[6,1,8,5,3,2,7,4]=>[4,7,2,3,5,8,1,6]
[7,1,4,6,3,8,5,2]=>[2,5,8,3,6,4,1,7]
[3,2,6,4,1,8,7,5]=>[5,7,8,1,4,6,2,3]
[7,6,4,3,1,8,2,5]=>[5,2,8,1,3,4,6,7]
[3,5,2,1,8,7,6,4]=>[4,6,7,8,1,2,5,3]
[1,5,3,2,8,6,4,7]=>[7,4,6,8,2,3,5,1]
[5,4,2,1,7,8,6,3]=>[3,6,8,7,1,2,4,5]
[8,2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2,8]
[8,6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6,8]
[1,7,3,6,2,8,5,4]=>[4,5,8,2,6,3,7,1]
[7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]
[8,6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6,8]
[5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]
[8,6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6,8]
[6,7,3,1,5,4,2,8]=>[8,2,4,5,1,3,7,6]
[5,8,3,1,2,4,7,6]=>[6,7,4,2,1,3,8,5]
[8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]
[8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]
[8,2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2,8]
[3,8,1,5,6,4,7,2]=>[2,7,4,6,5,1,8,3]
[6,8,4,1,2,5,7,3]=>[3,7,5,2,1,4,8,6]
[3,2,8,1,6,5,7,4]=>[4,7,5,6,1,8,2,3]
[7,6,4,1,5,2,3,8]=>[8,3,2,5,1,4,6,7]
[8,6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6,8]
[3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]
[5,2,1,4,7,6,3,8]=>[8,3,6,7,4,1,2,5]
[5,8,2,3,1,4,6,7]=>[7,6,4,1,3,2,8,5]
[4,2,1,3,5,8,7,6]=>[6,7,8,5,3,1,2,4]
[5,4,1,3,6,2,8,7]=>[7,8,2,6,3,1,4,5]
[8,5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5,8]
[3,2,5,1,4,6,8,7]=>[7,8,6,4,1,5,2,3]
[8,1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1,8]
[7,1,3,5,4,6,2,8]=>[8,2,6,4,5,3,1,7]
[5,1,3,4,6,2,7,8]=>[8,7,2,6,4,3,1,5]
[4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]
[6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]
[3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]
[4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]
[5,8,1,2,4,7,3,6]=>[6,3,7,4,2,1,8,5]
[6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]
[6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]
[7,5,1,8,2,3,6,4]=>[4,6,3,2,8,1,5,7]
[6,1,8,2,3,4,7,5]=>[5,7,4,3,2,8,1,6]
[5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]
[5,1,8,4,6,3,7,2]=>[2,7,3,6,4,8,1,5]
[4,1,8,3,5,7,2,6]=>[6,2,7,5,3,8,1,4]
[3,4,7,2,6,1,8,5]=>[5,8,1,6,2,7,4,3]
[4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]
[4,5,7,2,3,6,8,1]=>[1,8,6,3,2,7,5,4]
[2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]
[3,6,4,2,7,5,8,1]=>[1,8,5,7,2,4,6,3]
[4,5,2,7,1,6,8,3]=>[3,8,6,1,7,2,5,4]
[3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]
[4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]
[5,1,4,8,6,2,7,3]=>[3,7,2,6,8,4,1,5]
[7,3,1,4,8,5,6,2]=>[2,6,5,8,4,1,3,7]
[5,6,3,1,7,4,2,8]=>[8,2,4,7,1,3,6,5]
[7,3,4,1,8,5,2,6]=>[6,2,5,8,1,4,3,7]
[6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]
[7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]
[2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]
[7,1,3,8,5,2,4,6]=>[6,4,2,5,8,3,1,7]
[1,5,3,7,8,2,4,6]=>[6,4,2,8,7,3,5,1]
[3,2,6,7,1,8,4,5]=>[5,4,8,1,7,6,2,3]
[4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]
[5,3,1,6,7,8,4,2]=>[2,4,8,7,6,1,3,5]
[4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]
[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]
[4,8,3,7,6,5,1,2]=>[2,1,5,6,7,3,8,4]
[6,3,8,7,5,4,1,2]=>[2,1,4,5,7,8,3,6]
[5,3,8,7,6,4,1,2]=>[2,1,4,6,7,8,3,5]
[2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]
[5,2,8,7,6,1,4,3]=>[3,4,1,6,7,8,2,5]
[6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]
[7,8,2,6,5,1,4,3]=>[3,4,1,5,6,2,8,7]
[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]
[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]
[7,8,2,6,1,5,4,3]=>[3,4,5,1,6,2,8,7]
[6,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,6]
[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]
[4,8,2,7,6,1,5,3]=>[3,5,1,6,7,2,8,4]
[3,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,3]
[6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]
[4,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,4]
[5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]
[6,4,8,1,7,5,3,2]=>[2,3,5,7,1,8,4,6]
[7,8,4,1,6,5,3,2]=>[2,3,5,6,1,4,8,7]
[7,8,3,1,6,5,4,2]=>[2,4,5,6,1,3,8,7]
[6,3,8,1,7,5,4,2]=>[2,4,5,7,1,8,3,6]
[5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]
[7,8,2,1,6,5,4,3]=>[3,4,5,6,1,2,8,7]
[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]
[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]
[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]
[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]
[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]
[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]
[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]
[6,1,4,2,3,5,8,7]=>[7,8,5,3,2,4,1,6]
[8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]
[6,8,1,4,2,3,5,7]=>[7,5,3,2,4,1,8,6]
[8,1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1,8]
[4,1,8,2,3,6,5,7]=>[7,5,6,3,2,8,1,4]
[8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]
[6,2,3,8,1,4,5,7]=>[7,5,4,1,8,3,2,6]
[4,6,2,3,8,1,5,7]=>[7,5,1,8,3,2,6,4]
[4,8,2,3,6,1,5,7]=>[7,5,1,6,3,2,8,4]
[8,2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2,8]
[8,4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4,8]
[6,2,3,8,4,1,5,7]=>[7,5,1,4,8,3,2,6]
[8,4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4,8]
[6,4,2,3,8,1,5,7]=>[7,5,1,8,3,2,4,6]
[2,6,4,3,8,1,5,7]=>[7,5,1,8,3,4,6,2]
[2,8,4,3,6,1,5,7]=>[7,5,1,6,3,4,8,2]
[2,6,3,8,4,1,5,7]=>[7,5,1,4,8,3,6,2]
[6,3,8,4,2,1,5,7]=>[7,5,1,2,4,8,3,6]
[2,6,3,8,1,4,5,7]=>[7,5,4,1,8,3,6,2]
[2,8,3,6,1,4,5,7]=>[7,5,4,1,6,3,8,2]
[8,3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3,8]
[2,8,3,6,4,1,5,7]=>[7,5,1,4,6,3,8,2]
[8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]
[8,3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3,8]
[6,2,1,3,8,4,5,7]=>[7,5,4,8,3,1,2,6]
[8,2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2,8]
[6,3,8,2,4,1,5,7]=>[7,5,1,4,2,8,3,6]
[6,2,4,3,8,1,5,7]=>[7,5,1,8,3,4,2,6]
[3,6,4,7,8,5,1,2]=>[2,1,5,8,7,4,6,3]
[1,6,4,2,7,5,8,3]=>[3,8,5,7,2,4,6,1]
[3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]
[1,4,7,2,5,6,8,3]=>[3,8,6,5,2,7,4,1]
[6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]
[1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]
[4,2,5,3,6,1,7,8]=>[8,7,1,6,3,5,2,4]
[7,1,5,3,6,2,8,4]=>[4,8,2,6,3,5,1,7]
[1,6,5,2,4,8,7,3]=>[3,7,8,4,2,5,6,1]
[1,4,6,2,8,5,7,3]=>[3,7,5,8,2,6,4,1]
[7,8,1,4,2,5,6,3]=>[3,6,5,2,4,1,8,7]
[3,4,8,5,2,1,6,7]=>[7,6,1,2,5,8,4,3]
[4,8,5,3,1,6,2,7]=>[7,2,6,1,3,5,8,4]
[6,1,3,5,8,2,7,4]=>[4,7,2,8,5,3,1,6]
[6,1,8,7,4,2,3,5]=>[5,3,2,4,7,8,1,6]
[1,2,8,5,7,3,6,4]=>[4,6,3,7,5,8,2,1]
[1,3,6,8,7,5,2,4]=>[4,2,5,7,8,6,3,1]
[1,8,2,5,4,7,6,3]=>[3,6,7,4,5,2,8,1]
[7,1,2,4,5,8,6,3]=>[3,6,8,5,4,2,1,7]
[1,2,7,3,5,8,6,4]=>[4,6,8,5,3,7,2,1]
[6,1,3,2,5,7,8,4]=>[4,8,7,5,2,3,1,6]
[4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]
[1,6,3,7,8,5,2,4]=>[4,2,5,8,7,3,6,1]
[4,6,2,3,7,8,1,5]=>[5,1,8,7,3,2,6,4]
[4,6,3,7,1,2,8,5]=>[5,8,2,1,7,3,6,4]
[4,2,1,3,5,7,8,6]=>[6,8,7,5,3,1,2,4]
[7,3,2,4,5,1,8,6]=>[6,8,1,5,4,2,3,7]
[3,8,2,5,4,1,7,6]=>[6,7,1,4,5,2,8,3]
[7,8,4,2,6,3,1,5]=>[5,1,3,6,2,4,8,7]
[4,2,6,3,8,7,1,5]=>[5,1,7,8,3,6,2,4]
[5,8,2,7,4,3,1,6]=>[6,1,3,4,7,2,8,5]
[4,3,8,5,1,7,2,6]=>[6,2,7,1,5,8,3,4]
[4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]
[6,4,3,5,2,8,1,7]=>[7,1,8,2,5,3,4,6]
[6,5,3,8,4,2,1,7]=>[7,1,2,4,8,3,5,6]
[3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]
[8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]
[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]
[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]
[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]
[5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]
[2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]
[6,4,1,8,2,5,7,3]=>[3,7,5,2,8,1,4,6]
[2,8,6,1,3,5,4,7]=>[7,4,5,3,1,6,8,2]
[4,1,3,6,5,8,7,2]=>[2,7,8,5,6,3,1,4]
[2,1,6,3,5,8,7,4]=>[4,7,8,5,3,6,1,2]
[2,4,1,3,8,5,7,6]=>[6,7,5,8,3,1,4,2]
[2,4,1,3,5,8,7,6]=>[6,7,8,5,3,1,4,2]
[2,6,1,3,5,8,7,4]=>[4,7,8,5,3,1,6,2]
[4,6,1,3,5,8,7,2]=>[2,7,8,5,3,1,6,4]
[6,1,4,3,5,8,7,2]=>[2,7,8,5,3,4,1,6]
[6,4,1,3,5,8,7,2]=>[2,7,8,5,3,1,4,6]
[6,2,1,3,5,8,7,4]=>[4,7,8,5,3,1,2,6]
[4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]
[4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]
[6,2,1,8,3,5,7,4]=>[4,7,5,3,8,1,2,6]
[6,2,1,3,8,5,7,4]=>[4,7,5,8,3,1,2,6]
[6,1,4,3,8,5,7,2]=>[2,7,5,8,3,4,1,6]
[1,6,4,3,8,5,7,2]=>[2,7,5,8,3,4,6,1]
[8,1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1,8]
[8,4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4,8]
[8,2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2,8]
[8,2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2,8]
[8,2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2,8]
[6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]
[8,2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2,8]
[8,2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2,8]
[8,4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4,8]
[8,4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4,8]
[8,1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1,8]
[1,8,4,6,3,5,7,2]=>[2,7,5,3,6,4,8,1]
[1,6,4,8,3,5,7,2]=>[2,7,5,3,8,4,6,1]
[6,4,1,8,3,5,7,2]=>[2,7,5,3,8,1,4,6]
[6,4,8,1,3,5,7,2]=>[2,7,5,3,1,8,4,6]
[6,2,8,1,3,5,7,4]=>[4,7,5,3,1,8,2,6]
[4,2,8,1,3,5,7,6]=>[6,7,5,3,1,8,2,4]
[2,6,8,1,3,5,7,4]=>[4,7,5,3,1,8,6,2]
[4,6,8,1,3,5,7,2]=>[2,7,5,3,1,8,6,4]
[4,6,1,8,3,5,7,2]=>[2,7,5,3,8,1,6,4]
[4,1,6,8,3,5,7,2]=>[2,7,5,3,8,6,1,4]
[1,4,6,3,8,5,7,2]=>[2,7,5,8,3,6,4,1]
[4,6,1,3,8,5,7,2]=>[2,7,5,8,3,1,6,4]
[2,4,1,8,3,5,7,6]=>[6,7,5,3,8,1,4,2]
[2,1,6,8,3,5,7,4]=>[4,7,5,3,8,6,1,2]
[4,1,3,6,8,5,7,2]=>[2,7,5,8,6,3,1,4]
[1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]
[4,1,3,8,6,5,7,2]=>[2,7,5,6,8,3,1,4]
[2,1,8,3,6,5,7,4]=>[4,7,5,6,3,8,1,2]
[2,1,6,4,3,5,7,8]=>[8,7,5,3,4,6,1,2]
[2,6,1,4,3,5,7,8]=>[8,7,5,3,4,1,6,2]
[2,8,1,4,3,5,7,6]=>[6,7,5,3,4,1,8,2]
[2,8,1,6,3,5,7,4]=>[4,7,5,3,6,1,8,2]
[4,8,1,3,6,5,7,2]=>[2,7,5,6,3,1,8,4]
[1,4,8,3,6,5,7,2]=>[2,7,5,6,3,8,4,1]
[1,4,8,6,3,5,7,2]=>[2,7,5,3,6,8,4,1]
[4,1,8,6,3,5,7,2]=>[2,7,5,3,6,8,1,4]
[4,8,1,6,3,5,7,2]=>[2,7,5,3,6,1,8,4]
[4,8,6,1,3,5,7,2]=>[2,7,5,3,1,6,8,4]
[2,8,6,1,3,5,7,4]=>[4,7,5,3,1,6,8,2]
[2,8,4,1,3,5,7,6]=>[6,7,5,3,1,4,8,2]
[2,6,4,1,3,5,7,8]=>[8,7,5,3,1,4,6,2]
[4,6,2,1,3,5,7,8]=>[8,7,5,3,1,2,6,4]
[6,8,1,4,3,5,7,2]=>[2,7,5,3,4,1,8,6]
[6,1,8,4,3,5,7,2]=>[2,7,5,3,4,8,1,6]
[1,6,8,4,3,5,7,2]=>[2,7,5,3,4,8,6,1]
[1,8,6,4,3,5,7,2]=>[2,7,5,3,4,6,8,1]
[8,1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1,8]
[8,6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6,8]
[8,6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6,8]
[8,6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6,8]
[8,4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4,8]
[7,8,6,5,2,1,4,3]=>[3,4,1,2,5,6,8,7]
[5,7,4,1,8,6,3,2]=>[2,3,6,8,1,4,7,5]
[5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]
[5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]
[5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]
[5,8,1,4,6,3,7,2]=>[2,7,3,6,4,1,8,5]
[3,6,7,4,5,8,2,1]=>[1,2,8,5,4,7,6,3]
[3,5,7,4,6,8,2,1]=>[1,2,8,6,4,7,5,3]
[6,8,4,1,7,2,5,3]=>[3,5,2,7,1,4,8,6]
[5,4,6,1,7,8,3,2]=>[2,3,8,7,1,6,4,5]
[5,6,4,1,8,7,3,2]=>[2,3,7,8,1,4,6,5]
[3,5,8,4,6,7,2,1]=>[1,2,7,6,4,8,5,3]
[3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]
[3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]
[6,8,1,4,5,3,7,2]=>[2,7,3,5,4,1,8,6]
[6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]
[3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]
[3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]
[3,7,1,5,4,6,8,2]=>[2,8,6,4,5,1,7,3]
[6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]
[5,7,1,4,6,3,8,2]=>[2,8,3,6,4,1,7,5]
[5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]
[5,4,7,2,8,3,1,6]=>[6,1,3,8,2,7,4,5]
[5,4,7,2,8,3,6,1]=>[1,6,3,8,2,7,4,5]
[5,6,4,2,8,3,1,7]=>[7,1,3,8,2,4,6,5]
[5,8,1,4,6,3,2,7]=>[7,2,3,6,4,1,8,5]
[3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]
[3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]
[3,6,1,5,4,8,2,7]=>[7,2,8,4,5,1,6,3]
[6,8,3,1,4,2,5,7]=>[7,5,2,4,1,3,8,6]
[7,3,8,1,4,2,5,6]=>[6,5,2,4,1,8,3,7]
[6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]
[3,6,1,5,4,7,8,2]=>[2,8,7,4,5,1,6,3]
[3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]
[3,4,1,2,6,8,7,5]=>[5,7,8,6,2,1,4,3]
[6,8,3,1,4,7,2,5]=>[5,2,7,4,1,3,8,6]
[6,4,7,2,8,5,1,3]=>[3,1,5,8,2,7,4,6]
[5,8,1,4,7,3,2,6]=>[6,2,3,7,4,1,8,5]
[7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]
[3,8,1,5,4,7,2,6]=>[6,2,7,4,5,1,8,3]
[3,6,1,5,4,8,7,2]=>[2,7,8,4,5,1,6,3]
[3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]
[6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]
[6,8,3,1,4,2,7,5]=>[5,7,2,4,1,3,8,6]
[7,8,3,1,4,6,2,5]=>[5,2,6,4,1,3,8,7]
[7,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,7]
[6,5,8,7,3,4,2,1]=>[1,2,4,3,7,8,5,6]
[7,8,3,1,4,6,5,2]=>[2,5,6,4,1,3,8,7]
[6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]
[3,7,1,5,4,2,6,8]=>[8,6,2,4,5,1,7,3]
[3,8,1,5,4,2,7,6]=>[6,7,2,4,5,1,8,3]
[5,8,1,4,7,3,6,2]=>[2,6,3,7,4,1,8,5]
[6,8,4,2,7,5,3,1]=>[1,3,5,7,2,4,8,6]
[6,4,7,2,8,5,3,1]=>[1,3,5,8,2,7,4,6]
[6,3,7,1,4,8,5,2]=>[2,5,8,4,1,7,3,6]
[6,8,3,1,4,7,5,2]=>[2,5,7,4,1,3,8,6]
[3,7,1,5,4,8,6,2]=>[2,6,8,4,5,1,7,3]
[3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]
[3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]
[3,7,1,5,4,2,8,6]=>[6,8,2,4,5,1,7,3]
[6,7,3,1,4,5,8,2]=>[2,8,5,4,1,3,7,6]
[7,3,8,1,4,5,2,6]=>[6,2,5,4,1,8,3,7]
[7,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,7]
[6,8,3,1,4,5,2,7]=>[7,2,5,4,1,3,8,6]
[3,8,1,5,4,2,6,7]=>[7,6,2,4,5,1,8,3]
[8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]
[8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8]
[8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]
[8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8]
[8,5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5,8]
[8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]
[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]
[8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8]
[5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]
[5,8,6,2,3,4,7,1]=>[1,7,4,3,2,6,8,5]
[4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]
[4,8,2,6,3,5,7,1]=>[1,7,5,3,6,2,8,4]
[4,3,7,8,6,5,1,2]=>[2,1,5,6,8,7,3,4]
[4,1,7,2,5,8,6,3]=>[3,6,8,5,2,7,1,4]
[7,8,2,1,5,6,4,3]=>[3,4,6,5,1,2,8,7]
[1,6,2,5,8,4,3,7]=>[7,3,4,8,5,2,6,1]
[2,1,8,7,4,5,3,6]=>[6,3,5,4,7,8,1,2]
[7,3,1,6,8,5,2,4]=>[4,2,5,8,6,1,3,7]
[1,5,8,6,2,3,7,4]=>[4,7,3,2,6,8,5,1]
[2,4,8,3,1,6,5,7]=>[7,5,6,1,3,8,4,2]
[5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]
[2,6,1,3,8,7,4,5]=>[5,4,7,8,3,1,6,2]
[6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]
[2,8,3,5,1,7,4,6]=>[6,4,7,1,5,3,8,2]
[5,4,3,8,7,1,6,2]=>[2,6,1,7,8,3,4,5]
[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]
[8,3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3,8]
[2,8,6,5,1,7,4,3]=>[3,4,7,1,5,6,8,2]
[6,3,2,8,4,1,7,5]=>[5,7,1,4,8,2,3,6]
[2,8,3,4,1,7,5,6]=>[6,5,7,1,4,3,8,2]
[5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]
[2,8,4,3,1,7,6,5]=>[5,6,7,1,3,4,8,2]
[2,8,5,3,1,7,6,4]=>[4,6,7,1,3,5,8,2]
[2,8,6,4,1,7,5,3]=>[3,5,7,1,4,6,8,2]
[3,8,7,5,1,6,4,2]=>[2,4,6,1,5,7,8,3]
[8,3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3,8]
[8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]
[4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]
[7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]
[7,3,8,5,2,1,6,4]=>[4,6,1,2,5,8,3,7]
[7,3,8,4,2,1,6,5]=>[5,6,1,2,4,8,3,7]
[7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]
[3,7,8,4,1,2,6,5]=>[5,6,2,1,4,8,7,3]
[3,7,8,5,1,2,6,4]=>[4,6,2,1,5,8,7,3]
[4,7,8,6,1,2,5,3]=>[3,5,2,1,6,8,7,4]
[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]
[5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]
[6,4,7,8,3,1,2,5]=>[5,2,1,3,8,7,4,6]
[7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]
[7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]
[7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]
[6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]
[2,4,8,3,1,5,7,6]=>[6,7,5,1,3,8,4,2]
[6,3,2,4,8,1,5,7]=>[7,5,1,8,4,2,3,6]
[2,3,8,4,1,6,7,5]=>[5,7,6,1,4,8,3,2]
[2,3,8,5,1,6,7,4]=>[4,7,6,1,5,8,3,2]
[6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]
[8,6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6,8]
[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]
[3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]
[2,4,8,6,1,5,7,3]=>[3,7,5,1,6,8,4,2]
[2,5,8,6,1,4,7,3]=>[3,7,4,1,6,8,5,2]
[8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]
[8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]
[4,6,8,7,1,3,5,2]=>[2,5,3,1,7,8,6,4]
[2,6,8,5,1,3,7,4]=>[4,7,3,1,5,8,6,2]
[2,6,8,4,1,3,7,5]=>[5,7,3,1,4,8,6,2]
[2,5,8,3,1,4,7,6]=>[6,7,4,1,3,8,5,2]
[5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]
[7,4,6,8,2,1,3,5]=>[5,3,1,2,8,6,4,7]
[2,3,5,4,1,8,6,7]=>[7,6,8,1,4,5,3,2]
[2,3,6,4,8,1,5,7]=>[7,5,1,8,4,6,3,2]
[1,8,4,6,3,5,2,7]=>[7,2,5,3,6,4,8,1]
[5,4,8,6,2,1,3,7]=>[7,3,1,2,6,8,4,5]
[2,3,6,8,1,5,4,7]=>[7,4,5,1,8,6,3,2]
[2,5,6,1,4,7,8,3]=>[3,8,7,4,1,6,5,2]
[2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]
[7,3,5,1,6,8,4,2]=>[2,4,8,6,1,5,3,7]
[2,7,6,1,8,5,4,3]=>[3,4,5,8,1,6,7,2]
[2,7,6,8,1,4,5,3]=>[3,5,4,1,8,6,7,2]
[1,8,7,6,3,2,5,4]=>[4,5,2,3,6,7,8,1]
[1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]
[5,7,8,6,2,3,4,1]=>[1,4,3,2,6,8,7,5]
[2,7,6,1,8,5,3,4]=>[4,3,5,8,1,6,7,2]
[6,3,5,1,7,2,4,8]=>[8,4,2,7,1,5,3,6]
[2,3,4,7,6,1,5,8]=>[8,5,1,6,7,4,3,2]
[7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]
[1,8,4,5,2,7,3,6]=>[6,3,7,2,5,4,8,1]
[1,8,4,5,2,7,6,3]=>[3,6,7,2,5,4,8,1]
[7,3,5,8,4,1,6,2]=>[2,6,1,4,8,5,3,7]
[2,7,6,4,8,5,1,3]=>[3,1,5,8,4,6,7,2]
[7,3,5,4,6,8,1,2]=>[2,1,8,6,4,5,3,7]
[6,3,5,4,7,1,8,2]=>[2,8,1,7,4,5,3,6]
[6,3,5,4,7,1,2,8]=>[8,2,1,7,4,5,3,6]
[3,4,1,5,6,8,7,2]=>[2,7,8,6,5,1,4,3]
[3,7,1,6,8,5,2,4]=>[4,2,5,8,6,1,7,3]
[2,3,1,8,6,4,7,5]=>[5,7,4,6,8,1,3,2]
[1,8,4,3,6,2,5,7]=>[7,5,2,6,3,4,8,1]
[2,3,1,8,6,4,5,7]=>[7,5,4,6,8,1,3,2]
[3,7,1,6,8,5,4,2]=>[2,4,5,8,6,1,7,3]
[6,3,5,4,7,2,1,8]=>[8,1,2,7,4,5,3,6]
[7,3,5,4,6,8,2,1]=>[1,2,8,6,4,5,3,7]
[2,7,6,4,8,5,3,1]=>[1,3,5,8,4,6,7,2]
[1,8,4,5,2,6,3,7]=>[7,3,6,2,5,4,8,1]
[6,4,8,5,3,1,2,7]=>[7,2,1,3,5,8,4,6]
[7,3,5,8,4,6,2,1]=>[1,2,6,4,8,5,3,7]
[2,3,4,6,5,8,1,7]=>[7,1,8,5,6,4,3,2]
[2,3,4,7,5,1,8,6]=>[6,8,1,5,7,4,3,2]
[2,3,4,7,5,1,6,8]=>[8,6,1,5,7,4,3,2]
[2,3,4,7,1,6,5,8]=>[8,5,6,1,7,4,3,2]
[2,3,4,7,1,6,8,5]=>[5,8,6,1,7,4,3,2]
[2,3,4,6,1,8,7,5]=>[5,7,8,1,6,4,3,2]
[6,3,5,8,4,2,7,1]=>[1,7,2,4,8,5,3,6]
[7,4,8,5,3,2,1,6]=>[6,1,2,3,5,8,4,7]
[1,8,4,5,2,3,6,7]=>[7,6,3,2,5,4,8,1]
[7,4,8,5,3,2,6,1]=>[1,6,2,3,5,8,4,7]
[6,3,5,8,4,2,1,7]=>[7,1,2,4,8,5,3,6]
[5,2,4,6,8,3,7,1]=>[1,7,3,8,6,4,2,5]
[1,5,7,4,6,3,2,8]=>[8,2,3,6,4,7,5,1]
[5,2,8,4,6,3,7,1]=>[1,7,3,6,4,8,2,5]
[3,8,5,4,6,7,2,1]=>[1,2,7,6,4,5,8,3]
[6,8,3,4,5,7,2,1]=>[1,2,7,5,4,3,8,6]
[2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]
[5,4,1,7,8,3,2,6]=>[6,2,3,8,7,1,4,5]
[5,4,2,7,8,3,6,1]=>[1,6,3,8,7,2,4,5]
[5,1,4,6,8,3,2,7]=>[7,2,3,8,6,4,1,5]
[5,1,8,4,6,3,2,7]=>[7,2,3,6,4,8,1,5]
[8,1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1,8]
[8,1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1,8]
[8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]
[8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8]
[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]
[8,7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7,8]
[8,2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2,8]
[1,7,6,3,4,5,2,8]=>[8,2,5,4,3,6,7,1]
[1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]
[8,7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7,8]
[5,8,2,4,7,3,6,1]=>[1,6,3,7,4,2,8,5]
[6,8,3,2,4,7,5,1]=>[1,5,7,4,2,3,8,6]
[8,7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7,8]
[8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]
[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]
[3,4,8,7,5,2,6,1]=>[1,6,2,5,7,8,4,3]
[3,2,8,6,1,5,4,7]=>[7,4,5,1,6,8,2,3]
[8,6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6,8]
[8,7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7,8]
[3,8,7,2,5,4,6,1]=>[1,6,4,5,2,7,8,3]
[8,7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7,8]
[5,3,6,2,4,8,7,1]=>[1,7,8,4,2,6,3,5]
[3,5,2,8,6,1,4,7]=>[7,4,1,6,8,2,5,3]
[3,7,2,5,1,4,8,6]=>[6,8,4,1,5,2,7,3]
[5,1,8,6,2,3,4,7]=>[7,4,3,2,6,8,1,5]
[2,5,4,1,8,6,3,7]=>[7,3,6,8,1,4,5,2]
[3,7,6,1,8,2,5,4]=>[4,5,2,8,1,6,7,3]
[7,6,3,1,8,2,4,5]=>[5,4,2,8,1,3,6,7]
[8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]
[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]
[8,1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1,8]
[7,1,3,6,4,8,2,5]=>[5,2,8,4,6,3,1,7]
[8,2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2,8]
[8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]
[7,5,4,1,3,8,2,6]=>[6,2,8,3,1,4,5,7]
[2,7,5,8,3,4,1,6]=>[6,1,4,3,8,5,7,2]
[7,3,8,5,4,1,2,6]=>[6,2,1,4,5,8,3,7]
[7,2,3,6,1,4,8,5]=>[5,8,4,1,6,3,2,7]
[1,3,7,2,5,8,4,6]=>[6,4,8,5,2,7,3,1]
[1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]
[7,4,8,1,3,6,2,5]=>[5,2,6,3,1,8,4,7]
[8,1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1,8]
[7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]
[8,6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6,8]
[2,6,3,7,1,4,8,5]=>[5,8,4,1,7,3,6,2]
[2,6,3,8,1,4,7,5]=>[5,7,4,1,8,3,6,2]
[7,5,4,8,1,3,2,6]=>[6,2,3,1,8,4,5,7]
[8,5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5,8]
[2,3,1,8,5,4,6,7]=>[7,6,4,5,8,1,3,2]
[8,6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6,8]
[8,5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5,8]
[3,4,7,6,1,8,5,2]=>[2,5,8,1,6,7,4,3]
[3,5,2,6,7,1,8,4]=>[4,8,1,7,6,2,5,3]
[3,2,8,4,7,5,1,6]=>[6,1,5,7,4,8,2,3]
[8,4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4,8]
[3,8,1,6,5,2,7,4]=>[4,7,2,5,6,1,8,3]
[6,1,2,8,3,4,7,5]=>[5,7,4,3,8,2,1,6]
[6,8,3,1,7,2,4,5]=>[5,4,2,7,1,3,8,6]
[3,7,2,5,6,1,8,4]=>[4,8,1,6,5,2,7,3]
[6,8,4,2,5,1,7,3]=>[3,7,1,5,2,4,8,6]
[2,7,5,3,8,4,1,6]=>[6,1,4,8,3,5,7,2]
[8,3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3,8]
[8,3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3,8]
[2,8,3,6,4,7,1,5]=>[5,1,7,4,6,3,8,2]
[7,3,6,4,8,1,2,5]=>[5,2,1,8,4,6,3,7]
[8,3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3,8]
[1,2,8,3,5,7,4,6]=>[6,4,7,5,3,8,2,1]
[1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]
[6,5,1,7,4,2,8,3]=>[3,8,2,4,7,1,5,6]
[7,3,6,4,8,2,1,5]=>[5,1,2,8,4,6,3,7]
[4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]
[6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]
[7,3,8,1,6,5,2,4]=>[4,2,5,6,1,8,3,7]
[8,3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3,8]
[5,1,7,4,2,8,6,3]=>[3,6,8,2,4,7,1,5]
[2,8,1,7,6,5,3,4]=>[4,3,5,6,7,1,8,2]
[4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]
[6,4,2,8,5,1,7,3]=>[3,7,1,5,8,2,4,6]
[8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]
[7,6,4,8,1,5,2,3]=>[3,2,5,1,8,4,6,7]
[5,1,6,4,2,3,8,7]=>[7,8,3,2,4,6,1,5]
[4,2,3,8,7,5,1,6]=>[6,1,5,7,8,3,2,4]
[3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]
[2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]
[2,4,3,7,1,6,8,5]=>[5,8,6,1,7,3,4,2]
[4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]
[5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]
[6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]
[8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]
[6,5,7,8,1,4,2,3]=>[3,2,4,1,8,7,5,6]
[4,7,8,6,1,5,2,3]=>[3,2,5,1,6,8,7,4]
[3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]
[3,2,4,8,7,1,5,6]=>[6,5,1,7,8,4,2,3]
[4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]
[5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]
[8,6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6,8]
[5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]
[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]
[8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]
[8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]
[7,3,2,4,8,1,5,6]=>[6,5,1,8,4,2,3,7]
[2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]
[8,4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4,8]
[7,4,6,8,1,5,2,3]=>[3,2,5,1,8,6,4,7]
[5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]
[4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]
[3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]
[2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]
[2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]
[3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]
[4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]
[8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]
[8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]
[7,6,8,5,1,4,2,3]=>[3,2,4,1,5,8,6,7]
[6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]
[5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]
[4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]
[2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]
[3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]
[6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]
[7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]
[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]
[2,1,8,5,4,6,3,7]=>[7,3,6,4,5,8,1,2]
[4,1,8,5,2,3,6,7]=>[7,6,3,2,5,8,1,4]
[5,4,1,3,6,7,2,8]=>[8,2,7,6,3,1,4,5]
[8,4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4,8]
[8,2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2,8]
[3,2,7,1,5,8,4,6]=>[6,4,8,5,1,7,2,3]
[6,3,7,1,5,4,2,8]=>[8,2,4,5,1,7,3,6]
[7,3,8,1,5,4,2,6]=>[6,2,4,5,1,8,3,7]
[7,1,5,3,8,4,2,6]=>[6,2,4,8,3,5,1,7]
[4,5,1,3,6,8,2,7]=>[7,2,8,6,3,1,5,4]
[3,6,8,1,5,4,2,7]=>[7,2,4,5,1,8,6,3]
[6,8,3,1,5,4,2,7]=>[7,2,4,5,1,3,8,6]
[7,6,3,1,5,4,2,8]=>[8,2,4,5,1,3,6,7]
[3,6,2,1,5,8,4,7]=>[7,4,8,5,1,2,6,3]
[8,6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6,8]
[4,8,2,1,7,5,3,6]=>[6,3,5,7,1,2,8,4]
[2,3,8,1,5,7,4,6]=>[6,4,7,5,1,8,3,2]
[7,1,3,2,8,6,4,5]=>[5,4,6,8,2,3,1,7]
[7,1,6,2,8,3,4,5]=>[5,4,3,8,2,6,1,7]
[4,7,1,2,6,3,8,5]=>[5,8,3,6,2,1,7,4]
[2,7,8,1,5,3,4,6]=>[6,4,3,5,1,8,7,2]
[6,7,2,1,5,3,4,8]=>[8,4,3,5,1,2,7,6]
[4,7,2,1,8,5,3,6]=>[6,3,5,8,1,2,7,4]
[8,7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7,8]
[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]
[5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]
[2,7,4,1,6,5,3,8]=>[8,3,5,6,1,4,7,2]
[3,7,1,4,5,6,8,2]=>[2,8,6,5,4,1,7,3]
[7,1,6,4,5,8,3,2]=>[2,3,8,5,4,6,1,7]
[3,5,1,4,7,6,8,2]=>[2,8,6,7,4,1,5,3]
[2,6,4,1,7,5,3,8]=>[8,3,5,7,1,4,6,2]
[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]
[6,8,5,7,1,4,3,2]=>[2,3,4,1,7,5,8,6]
[8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]
[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]
[6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]
[7,2,3,1,5,6,4,8]=>[8,4,6,5,1,3,2,7]
[4,2,8,1,6,5,3,7]=>[7,3,5,6,1,8,2,4]
[6,2,4,1,8,5,3,7]=>[7,3,5,8,1,4,2,6]
[8,3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3,8]
[5,3,1,4,8,6,7,2]=>[2,7,6,8,4,1,3,5]
[7,5,1,6,3,4,8,2]=>[2,8,4,3,6,1,5,7]
[7,1,5,8,4,3,6,2]=>[2,6,3,4,8,5,1,7]
[5,8,1,6,4,3,7,2]=>[2,7,3,4,6,1,8,5]
[5,3,1,8,4,6,7,2]=>[2,7,6,4,8,1,3,5]
[8,3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3,8]
[8,2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2,8]
[6,2,8,1,4,5,3,7]=>[7,3,5,4,1,8,2,6]
[7,2,6,1,5,3,4,8]=>[8,4,3,5,1,6,2,7]
[2,8,6,1,5,3,4,7]=>[7,4,3,5,1,6,8,2]
[4,2,1,5,6,3,8,7]=>[7,8,3,6,5,1,2,4]
[7,1,2,5,8,3,4,6]=>[6,4,3,8,5,2,1,7]
[7,1,4,5,6,8,3,2]=>[2,3,8,6,5,4,1,7]
[8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]
[7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]
[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]
[2,6,7,1,4,5,3,8]=>[8,3,5,4,1,7,6,2]
[3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]
[7,1,5,6,4,8,3,2]=>[2,3,8,4,6,5,1,7]
[7,1,6,5,4,8,3,2]=>[2,3,8,4,5,6,1,7]
[2,7,6,1,4,5,3,8]=>[8,3,5,4,1,6,7,2]
[5,7,6,8,1,4,3,2]=>[2,3,4,1,8,6,7,5]
[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]
[4,3,1,6,5,8,7,2]=>[2,7,8,5,6,1,3,4]
[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]
[5,3,6,2,1,8,7,4]=>[4,7,8,1,2,6,3,5]
[5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]
[5,3,7,2,8,4,1,6]=>[6,1,4,8,2,7,3,5]
[7,2,4,5,8,3,1,6]=>[6,1,3,8,5,4,2,7]
[7,2,4,5,1,3,6,8]=>[8,6,3,1,5,4,2,7]
[6,2,4,5,1,8,7,3]=>[3,7,8,1,5,4,2,6]
[3,1,4,5,2,8,7,6]=>[6,7,8,2,5,4,1,3]
[1,6,4,5,2,8,7,3]=>[3,7,8,2,5,4,6,1]
[3,7,4,5,1,2,6,8]=>[8,6,2,1,5,4,7,3]
[3,7,4,5,8,2,1,6]=>[6,1,2,8,5,4,7,3]
[1,7,4,2,6,3,5,8]=>[8,5,3,6,2,4,7,1]
[8,7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7,8]
[6,3,7,1,8,4,2,5]=>[5,2,4,8,1,7,3,6]
[5,7,4,1,6,3,2,8]=>[8,2,3,6,1,4,7,5]
[1,7,4,8,6,3,2,5]=>[5,2,3,6,8,4,7,1]
[5,7,4,8,6,3,1,2]=>[2,1,3,6,8,4,7,5]
[4,8,3,5,6,7,1,2]=>[2,1,7,6,5,3,8,4]
[1,8,3,5,6,7,2,4]=>[4,2,7,6,5,3,8,1]
[4,8,1,5,6,7,2,3]=>[3,2,7,6,5,1,8,4]
[4,1,3,5,6,7,2,8]=>[8,2,7,6,5,3,1,4]
[5,8,4,3,6,1,2,7]=>[7,2,1,6,3,4,8,5]
[5,3,8,4,1,7,2,6]=>[6,2,7,1,4,8,3,5]
[1,5,8,4,6,7,3,2]=>[2,3,7,6,4,8,5,1]
[1,4,8,3,6,7,5,2]=>[2,5,7,6,3,8,4,1]
[4,3,8,2,1,7,5,6]=>[6,5,7,1,2,8,3,4]
[3,8,4,2,6,1,5,7]=>[7,5,1,6,2,4,8,3]
[1,8,2,5,6,7,4,3]=>[3,4,7,6,5,2,8,1]
[3,8,1,5,6,7,4,2]=>[2,4,7,6,5,1,8,3]
[3,8,2,5,6,7,1,4]=>[4,1,7,6,5,2,8,3]
[8,2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2,8]
[8,1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1,8]
[7,1,4,3,6,2,5,8]=>[8,5,2,6,3,4,1,7]
[7,8,4,3,6,2,1,5]=>[5,1,2,6,3,4,8,7]
[4,3,1,8,5,7,6,2]=>[2,6,7,5,8,1,3,4]
[4,3,1,6,8,7,5,2]=>[2,5,7,8,6,1,3,4]
[6,3,1,8,2,7,4,5]=>[5,4,7,2,8,1,3,6]
[6,3,5,8,2,7,1,4]=>[4,1,7,2,8,5,3,6]
[7,5,4,8,6,2,1,3]=>[3,1,2,6,8,4,5,7]
[7,1,4,8,6,2,3,5]=>[5,3,2,6,8,4,1,7]
[7,5,4,1,6,2,3,8]=>[8,3,2,6,1,4,5,7]
[7,6,4,5,8,1,3,2]=>[2,3,1,8,5,4,6,7]
[1,6,4,5,8,2,3,7]=>[7,3,2,8,5,4,6,1]
[7,3,6,1,8,2,4,5]=>[5,4,2,8,1,6,3,7]
[1,7,6,5,8,3,4,2]=>[2,4,3,8,5,6,7,1]
[1,8,5,3,6,7,4,2]=>[2,4,7,6,3,5,8,1]
[8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]
[8,4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4,8]
[8,4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4,8]
[4,1,8,5,6,7,3,2]=>[2,3,7,6,5,8,1,4]
[1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1]
[4,2,1,5,6,7,3,8]=>[8,3,7,6,5,1,2,4]
[1,5,3,8,6,7,4,2]=>[2,4,7,6,8,3,5,1]
[1,4,5,8,6,7,3,2]=>[2,3,7,6,8,5,4,1]
[4,3,5,8,1,7,2,6]=>[6,2,7,1,8,5,3,4]
[3,5,4,8,6,1,2,7]=>[7,2,1,6,8,4,5,3]
[1,4,8,5,6,7,2,3]=>[3,2,7,6,5,8,4,1]
[3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]
[2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]
[2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]
[4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]
[2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]
[3,7,1,4,2,6,8,5]=>[5,8,6,2,4,1,7,3]
[3,7,1,5,6,2,8,4]=>[4,8,2,6,5,1,7,3]
[4,7,1,5,6,8,2,3]=>[3,2,8,6,5,1,7,4]
[8,5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5,8]
[8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]
[8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]
[4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]
[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]
[5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]
[6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]
[6,5,7,2,8,3,1,4]=>[4,1,3,8,2,7,5,6]
[5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]
[2,6,5,1,8,3,4,7]=>[7,4,3,8,1,5,6,2]
[8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]
[8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]
[8,7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7,8]
[8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]
[8,5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5,8]
[8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]
[8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]
[8,3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3,8]
[5,7,3,4,2,1,8,6]=>[6,8,1,2,4,3,7,5]
[6,7,4,2,3,1,8,5]=>[5,8,1,3,2,4,7,6]
[6,7,5,3,1,2,8,4]=>[4,8,2,1,3,5,7,6]
[6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]
[6,2,4,3,8,7,5,1]=>[1,5,7,8,3,4,2,6]
[7,3,5,4,1,8,6,2]=>[2,6,8,1,4,5,3,7]
[5,2,7,1,3,4,8,6]=>[6,8,4,3,1,7,2,5]
[2,6,5,7,3,1,4,8]=>[8,4,1,3,7,5,6,2]
[2,6,5,7,3,1,8,4]=>[4,8,1,3,7,5,6,2]
[6,3,1,4,7,8,5,2]=>[2,5,8,7,4,1,3,6]
[6,8,2,1,3,4,5,7]=>[7,5,4,3,1,2,8,6]
[3,7,1,8,4,5,2,6]=>[6,2,5,4,8,1,7,3]
[6,3,2,4,7,5,8,1]=>[1,8,5,7,4,2,3,6]
[6,3,2,4,7,5,1,8]=>[8,1,5,7,4,2,3,6]
[4,2,1,6,3,7,5,8]=>[8,5,7,3,6,1,2,4]
[4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]
[7,4,3,5,8,6,1,2]=>[2,1,6,8,5,3,4,7]
[2,7,6,8,3,1,4,5]=>[5,4,1,3,8,6,7,2]
[7,4,3,5,8,6,2,1]=>[1,2,6,8,5,3,4,7]
[4,2,1,7,3,8,6,5]=>[5,6,8,3,7,1,2,4]
[4,2,1,3,7,8,6,5]=>[5,6,8,7,3,1,2,4]
[5,8,1,7,4,3,6,2]=>[2,6,3,4,7,1,8,5]
[5,8,1,7,4,3,2,6]=>[6,2,3,4,7,1,8,5]
[3,7,8,6,2,1,4,5]=>[5,4,1,2,6,8,7,3]
[4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]
[4,2,1,3,6,7,5,8]=>[8,5,7,6,3,1,2,4]
[4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]
[4,2,1,3,6,8,7,5]=>[5,7,8,6,3,1,2,4]
[7,3,2,4,8,6,5,1]=>[1,5,6,8,4,2,3,7]
[4,2,1,6,3,8,7,5]=>[5,7,8,3,6,1,2,4]
[4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]
[3,6,7,5,2,1,4,8]=>[8,4,1,2,5,7,6,3]
[3,6,7,5,2,1,8,4]=>[4,8,1,2,5,7,6,3]
[7,3,4,2,6,8,5,1]=>[1,5,8,6,2,4,3,7]
[4,8,6,2,7,3,5,1]=>[1,5,3,7,2,6,8,4]
[7,3,4,2,6,8,1,5]=>[5,1,8,6,2,4,3,7]
[3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]
[3,6,7,5,2,4,1,8]=>[8,1,4,2,5,7,6,3]
[4,2,1,7,3,6,5,8]=>[8,5,6,3,7,1,2,4]
[4,2,1,7,3,6,8,5]=>[5,8,6,3,7,1,2,4]
[3,7,6,8,4,2,5,1]=>[1,5,2,4,8,6,7,3]
[5,8,1,7,4,2,6,3]=>[3,6,2,4,7,1,8,5]
[3,7,8,6,2,4,5,1]=>[1,5,4,2,6,8,7,3]
[4,2,1,3,8,6,7,5]=>[5,7,6,8,3,1,2,4]
[4,2,1,3,7,6,5,8]=>[8,5,6,7,3,1,2,4]
[4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]
[4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]
[4,8,1,7,3,6,5,2]=>[2,5,6,3,7,1,8,4]
[4,7,8,6,3,5,2,1]=>[1,2,5,3,6,8,7,4]
[4,2,1,8,3,7,6,5]=>[5,6,7,3,8,1,2,4]
[4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]
[7,8,2,4,1,3,6,5]=>[5,6,3,1,4,2,8,7]
[2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]
[4,6,3,5,8,7,1,2]=>[2,1,7,8,5,3,6,4]
[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]
[2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]
[2,7,5,1,8,3,4,6]=>[6,4,3,8,1,5,7,2]
[4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]
[3,5,6,2,4,1,7,8]=>[8,7,1,4,2,6,5,3]
[2,5,6,1,4,8,3,7]=>[7,3,8,4,1,6,5,2]
[6,7,8,4,1,5,3,2]=>[2,3,5,1,4,8,7,6]
[7,1,6,8,4,5,3,2]=>[2,3,5,4,8,6,1,7]
[7,4,6,5,2,8,1,3]=>[3,1,8,2,5,6,4,7]
[5,7,8,1,4,6,3,2]=>[2,3,6,4,1,8,7,5]
[8,1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1,8]
[1,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,1]
[6,1,8,4,7,5,3,2]=>[2,3,5,7,4,8,1,6]
[4,5,8,6,1,7,3,2]=>[2,3,7,1,6,8,5,4]
[4,8,5,1,6,7,3,2]=>[2,3,7,6,1,5,8,4]
[8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]
[5,6,7,1,4,2,3,8]=>[8,3,2,4,1,7,6,5]
[8,4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4,8]
[4,8,5,2,1,6,7,3]=>[3,7,6,1,2,5,8,4]
[5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]
[1,8,4,6,2,5,3,7]=>[7,3,5,2,6,4,8,1]
[6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]
[8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]
[3,1,8,2,5,6,4,7]=>[7,4,6,5,2,8,1,3]
[3,5,1,8,2,6,4,7]=>[7,4,6,2,8,1,5,3]
[3,5,1,2,8,4,7,6]=>[6,7,4,8,2,1,5,3]
[2,3,5,8,6,1,7,4]=>[4,7,1,6,8,5,3,2]
[8,2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2,8]
[3,2,8,5,7,1,6,4]=>[4,6,1,7,5,8,2,3]
[3,6,2,8,5,1,7,4]=>[4,7,1,5,8,2,6,3]
[6,2,1,8,4,7,5,3]=>[3,5,7,4,8,1,2,6]
[2,8,7,1,4,6,5,3]=>[3,5,6,4,1,7,8,2]
[8,2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2,8]
[7,2,5,3,6,8,1,4]=>[4,1,8,6,3,5,2,7]
[7,3,1,5,6,2,4,8]=>[8,4,2,6,5,1,3,7]
[3,7,5,1,6,2,4,8]=>[8,4,2,6,1,5,7,3]
[2,7,3,6,5,8,1,4]=>[4,1,8,5,6,3,7,2]
[8,7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7,8]
[1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]
[1,7,8,2,6,4,3,5]=>[5,3,4,6,2,8,7,1]
[1,7,3,8,2,6,4,5]=>[5,4,6,2,8,3,7,1]
[1,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,1]
[7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]
[1,6,2,8,4,3,7,5]=>[5,7,3,4,8,2,6,1]
[1,3,8,7,2,4,6,5]=>[5,6,4,2,7,8,3,1]
[1,8,3,7,2,5,4,6]=>[6,4,5,2,7,3,8,1]
[8,1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1,8]
[4,7,8,1,3,2,5,6]=>[6,5,2,3,1,8,7,4]
[7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]
[8,2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2,8]
[2,1,3,8,4,6,7,5]=>[5,7,6,4,8,3,1,2]
[1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]
[2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]
[2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]
[2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]
[2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]
[3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]
[8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]
[8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]
[2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]
[2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]
[2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]
[2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]
[2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]
[3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]
[8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]
[4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]
[4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]
[3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]
[3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]
[3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]
[6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]
[7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]
[7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]
[7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]
[7,4,8,1,2,3,6,5]=>[5,6,3,2,1,8,4,7]
[8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]
[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]
[7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]
[6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]
[5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]
[3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]
[4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]
[8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]
[4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]
[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]
[3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]
[4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]
[5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]
[5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]
[8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]
[6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]
[6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]
[5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]
[5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]
[5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]
[6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]
[6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]
[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]
[8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]
[6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]
[6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]
[7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]
[2,4,6,3,5,7,1,8]=>[8,1,7,5,3,6,4,2]
[1,4,6,3,7,2,5,8]=>[8,5,2,7,3,6,4,1]
[8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]
[8,2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2,8]
[1,8,3,4,2,7,5,6]=>[6,5,7,2,4,3,8,1]
[2,8,3,4,1,6,7,5]=>[5,7,6,1,4,3,8,2]
[8,7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7,8]
[3,8,2,4,6,1,7,5]=>[5,7,1,6,4,2,8,3]
[7,8,2,4,3,1,6,5]=>[5,6,1,3,4,2,8,7]
[4,5,8,2,3,1,7,6]=>[6,7,1,3,2,8,5,4]
[5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]
[6,1,3,5,7,2,4,8]=>[8,4,2,7,5,3,1,6]
[2,1,4,7,5,3,6,8]=>[8,6,3,5,7,4,1,2]
[7,1,3,6,2,5,4,8]=>[8,4,5,2,6,3,1,7]
[8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]
[2,1,8,3,7,5,4,6]=>[6,4,5,7,3,8,1,2]
[7,1,8,2,5,6,3,4]=>[4,3,6,5,2,8,1,7]
[6,1,5,8,2,7,3,4]=>[4,3,7,2,8,5,1,6]
[4,5,2,8,1,6,7,3]=>[3,7,6,1,8,2,5,4]
[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]
[3,2,8,5,1,6,7,4]=>[4,7,6,1,5,8,2,3]
[8,2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2,8]
[1,3,8,2,5,7,4,6]=>[6,4,7,5,2,8,3,1]
[2,8,7,1,6,4,5,3]=>[3,5,4,6,1,7,8,2]
[3,8,7,1,5,6,4,2]=>[2,4,6,5,1,7,8,3]
[3,4,8,5,6,1,7,2]=>[2,7,1,6,5,8,4,3]
[8,3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3,8]
[1,4,8,6,2,7,3,5]=>[5,3,7,2,6,8,4,1]
[8,4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4,8]
[3,5,6,8,4,1,7,2]=>[2,7,1,4,8,6,5,3]
[6,2,3,1,5,4,7,8]=>[8,7,4,5,1,3,2,6]
[7,2,3,1,4,6,5,8]=>[8,5,6,4,1,3,2,7]
[8,2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2,8]
[8,5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5,8]
[7,5,1,3,2,6,4,8]=>[8,4,6,2,3,1,5,7]
[2,6,1,4,5,3,7,8]=>[8,7,3,5,4,1,6,2]
[3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]
[4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]
[3,7,4,1,2,6,5,8]=>[8,5,6,2,1,4,7,3]
[6,7,1,4,2,5,3,8]=>[8,3,5,2,4,1,7,6]
[2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]
[8,6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6,8]
[2,8,1,3,4,6,7,5]=>[5,7,6,4,3,1,8,2]
[7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]
[3,8,4,1,2,5,7,6]=>[6,7,5,2,1,4,8,3]
[1,2,6,7,5,3,8,4]=>[4,8,3,5,7,6,2,1]
[1,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,1]
[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]
[1,6,5,7,2,3,8,4]=>[4,8,3,2,7,5,6,1]
[1,3,8,2,6,5,7,4]=>[4,7,5,6,2,8,3,1]
[1,2,5,7,6,3,4,8]=>[8,4,3,6,7,5,2,1]
[1,3,4,8,2,5,7,6]=>[6,7,5,2,8,4,3,1]
[1,5,7,6,2,3,4,8]=>[8,4,3,2,6,7,5,1]
[1,5,3,8,2,6,4,7]=>[7,4,6,2,8,3,5,1]
[1,4,8,3,2,5,7,6]=>[6,7,5,2,3,8,4,1]
[1,4,8,3,5,7,6,2]=>[2,6,7,5,3,8,4,1]
[1,2,4,8,3,5,7,6]=>[6,7,5,3,8,4,2,1]
[1,3,8,4,2,6,7,5]=>[5,7,6,2,4,8,3,1]
[1,4,8,2,3,5,7,6]=>[6,7,5,3,2,8,4,1]
[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]
[4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]
[6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]
[3,4,8,7,5,2,1,6]=>[6,1,2,5,7,8,4,3]
[1,7,5,2,8,4,6,3]=>[3,6,4,8,2,5,7,1]
[5,6,8,3,1,7,2,4]=>[4,2,7,1,3,8,6,5]
[6,1,4,8,3,2,7,5]=>[5,7,2,3,8,4,1,6]
[3,4,7,1,8,6,2,5]=>[5,2,6,8,1,7,4,3]
[3,4,6,8,2,1,5,7]=>[7,5,1,2,8,6,4,3]
[3,8,2,5,6,1,4,7]=>[7,4,1,6,5,2,8,3]
[3,5,2,8,6,4,1,7]=>[7,1,4,6,8,2,5,3]
[4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]
[7,4,2,5,3,8,1,6]=>[6,1,8,3,5,2,4,7]
[3,1,2,8,5,6,4,7]=>[7,4,6,5,8,2,1,3]
[5,2,1,6,8,3,4,7]=>[7,4,3,8,6,1,2,5]
[5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]
[1,5,6,8,3,4,2,7]=>[7,2,4,3,8,6,5,1]
[4,5,8,1,6,3,2,7]=>[7,2,3,6,1,8,5,4]
[4,5,1,6,8,3,2,7]=>[7,2,3,8,6,1,5,4]
[4,5,7,3,8,2,6,1]=>[1,6,2,8,3,7,5,4]
[6,4,3,7,8,2,5,1]=>[1,5,2,8,7,3,4,6]
[6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]
[4,5,3,1,7,8,2,6]=>[6,2,8,7,1,3,5,4]
[7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]
[7,5,2,8,1,4,3,6]=>[6,3,4,1,8,2,5,7]
[5,7,3,8,4,6,1,2]=>[2,1,6,4,8,3,7,5]
[1,4,5,7,3,8,6,2]=>[2,6,8,3,7,5,4,1]
[4,6,3,7,8,5,2,1]=>[1,2,5,8,7,3,6,4]
[5,3,6,7,8,4,2,1]=>[1,2,4,8,7,6,3,5]
[1,5,3,6,7,8,4,2]=>[2,4,8,7,6,3,5,1]
[4,6,1,7,3,8,5,2]=>[2,5,8,3,7,1,6,4]
[6,3,7,1,8,4,5,2]=>[2,5,4,8,1,7,3,6]
[6,7,2,4,8,1,5,3]=>[3,5,1,8,4,2,7,6]
[2,6,1,4,7,3,8,5]=>[5,8,3,7,4,1,6,2]
[3,2,5,6,7,8,1,4]=>[4,1,8,7,6,5,2,3]
[5,2,3,6,7,8,4,1]=>[1,4,8,7,6,3,2,5]
[6,7,1,3,2,8,4,5]=>[5,4,8,2,3,1,7,6]
[6,2,7,1,3,4,8,5]=>[5,8,4,3,1,7,2,6]
[5,2,1,7,3,8,4,6]=>[6,4,8,3,7,1,2,5]
[6,4,2,7,1,8,3,5]=>[5,3,8,1,7,2,4,6]
[4,2,6,3,7,8,1,5]=>[5,1,8,7,3,6,2,4]
[4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]
[6,7,3,8,2,4,5,1]=>[1,5,4,2,8,3,7,6]
[3,6,2,7,4,1,8,5]=>[5,8,1,4,7,2,6,3]
[6,7,3,2,1,4,8,5]=>[5,8,4,1,2,3,7,6]
[7,1,8,3,4,2,5,6]=>[6,5,2,4,3,8,1,7]
[7,2,4,1,8,3,5,6]=>[6,5,3,8,1,4,2,7]
[7,2,4,8,6,1,3,5]=>[5,3,1,6,8,4,2,7]
[7,3,4,8,6,2,1,5]=>[5,1,2,6,8,4,3,7]
[3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]
[6,7,8,3,2,5,1,4]=>[4,1,5,2,3,8,7,6]
[6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]
[2,6,7,4,8,5,3,1]=>[1,3,5,8,4,7,6,2]
[6,2,4,7,1,8,5,3]=>[3,5,8,1,7,4,2,6]
[4,6,2,7,1,8,5,3]=>[3,5,8,1,7,2,6,4]
[1,7,4,8,5,2,6,3]=>[3,6,2,5,8,4,7,1]
[1,3,7,8,5,2,6,4]=>[4,6,2,5,8,7,3,1]
[2,5,7,8,1,6,3,4]=>[4,3,6,1,8,7,5,2]
[6,3,7,1,8,2,5,4]=>[4,5,2,8,1,7,3,6]
[1,6,4,7,8,2,5,3]=>[3,5,2,8,7,4,6,1]
[2,5,6,1,7,8,4,3]=>[3,4,8,7,1,6,5,2]
[5,6,1,2,7,8,4,3]=>[3,4,8,7,2,1,6,5]
[6,7,2,1,8,5,3,4]=>[4,3,5,8,1,2,7,6]
[6,7,2,8,5,4,1,3]=>[3,1,4,5,8,2,7,6]
[1,6,7,4,8,5,3,2]=>[2,3,5,8,4,7,6,1]
[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]
[7,2,8,3,5,1,4,6]=>[6,4,1,5,3,8,2,7]
[1,3,7,4,6,2,5,8]=>[8,5,2,6,4,7,3,1]
[1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]
[1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]
[1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]
[1,8,2,4,6,3,7,5]=>[5,7,3,6,4,2,8,1]
[1,8,2,5,4,6,7,3]=>[3,7,6,4,5,2,8,1]
[3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]
[6,3,8,1,2,4,7,5]=>[5,7,4,2,1,8,3,6]
[1,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,1]
[1,4,7,5,2,6,8,3]=>[3,8,6,2,5,7,4,1]
[4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]
[4,5,2,3,6,1,8,7]=>[7,8,1,6,3,2,5,4]
[4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]
[2,5,4,7,1,6,8,3]=>[3,8,6,1,7,4,5,2]
[4,2,3,8,6,7,1,5]=>[5,1,7,6,8,3,2,4]
[6,2,4,8,5,1,7,3]=>[3,7,1,5,8,4,2,6]
[5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]
[6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]
[6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]
[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]
[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]
[5,3,4,8,1,6,2,7]=>[7,2,6,1,8,4,3,5]
[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]
[6,2,4,8,5,1,3,7]=>[7,3,1,5,8,4,2,6]
[7,6,3,8,5,1,2,4]=>[4,2,1,5,8,3,6,7]
[1,4,3,7,8,2,5,6]=>[6,5,2,8,7,3,4,1]
[4,2,6,7,3,8,1,5]=>[5,1,8,3,7,6,2,4]
[1,5,7,4,2,8,6,3]=>[3,6,8,2,4,7,5,1]
[1,3,7,2,8,6,4,5]=>[5,4,6,8,2,7,3,1]
[1,4,3,7,8,6,2,5]=>[5,2,6,8,7,3,4,1]
[1,5,3,6,8,2,7,4]=>[4,7,2,8,6,3,5,1]
[4,5,2,7,1,8,6,3]=>[3,6,8,1,7,2,5,4]
[4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]
[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]
[5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]
[4,2,6,7,3,8,5,1]=>[1,5,8,3,7,6,2,4]
[3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]
[6,4,5,2,3,8,7,1]=>[1,7,8,3,2,5,4,6]
[8,4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4,8]
[4,6,5,2,3,1,8,7]=>[7,8,1,3,2,5,6,4]
[6,4,2,5,3,1,8,7]=>[7,8,1,3,5,2,4,6]
[6,4,2,5,3,8,7,1]=>[1,7,8,3,5,2,4,6]
[8,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,8]
[8,6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6,8]
[6,4,2,5,8,7,3,1]=>[1,3,7,8,5,2,4,6]
[4,6,2,5,3,8,7,1]=>[1,7,8,3,5,2,6,4]
[4,6,5,2,3,8,7,1]=>[1,7,8,3,2,5,6,4]
[6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]
[4,8,6,7,5,2,3,1]=>[1,3,2,5,7,6,8,4]
[6,8,4,7,5,2,3,1]=>[1,3,2,5,7,4,8,6]
[6,8,2,7,4,5,3,1]=>[1,3,5,4,7,2,8,6]
[8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]
[8,6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6,8]
[6,8,2,4,7,5,3,1]=>[1,3,5,7,4,2,8,6]
[4,8,2,6,7,5,3,1]=>[1,3,5,7,6,2,8,4]
[2,8,4,6,7,5,3,1]=>[1,3,5,7,6,4,8,2]
[2,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,2]
[6,8,7,2,4,5,3,1]=>[1,3,5,4,2,7,8,6]
[2,6,4,5,8,7,3,1]=>[1,3,7,8,5,4,6,2]
[2,6,4,8,7,5,3,1]=>[1,3,5,7,8,4,6,2]
[4,6,2,8,7,5,3,1]=>[1,3,5,7,8,2,6,4]
[8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]
[6,2,4,8,7,5,3,1]=>[1,3,5,7,8,4,2,6]
[4,2,6,8,7,5,3,1]=>[1,3,5,7,8,6,2,4]
[4,2,6,5,8,7,3,1]=>[1,3,7,8,5,6,2,4]
[6,2,4,5,8,7,3,1]=>[1,3,7,8,5,4,2,6]
[8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]
[8,6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6,8]
[6,4,5,2,8,7,3,1]=>[1,3,7,8,2,5,4,6]
[4,2,3,6,8,7,5,1]=>[1,5,7,8,6,3,2,4]
[6,4,5,8,7,2,3,1]=>[1,3,2,7,8,5,4,6]
[8,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,8]
[8,4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4,8]
[6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]
[6,2,8,7,4,5,3,1]=>[1,3,5,4,7,8,2,6]
[6,4,8,7,5,2,3,1]=>[1,3,2,5,7,8,4,6]
[4,6,8,7,5,2,3,1]=>[1,3,2,5,7,8,6,4]
[4,6,5,8,7,2,3,1]=>[1,3,2,7,8,5,6,4]
[2,1,6,8,7,4,5,3]=>[3,5,4,7,8,6,1,2]
[2,6,8,7,4,5,3,1]=>[1,3,5,4,7,8,6,2]
[2,4,8,6,7,5,3,1]=>[1,3,5,7,6,8,4,2]
[4,2,8,6,7,5,3,1]=>[1,3,5,7,6,8,2,4]
[6,2,8,4,7,5,3,1]=>[1,3,5,7,4,8,2,6]
[8,2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2,8]
[6,4,8,2,7,5,3,1]=>[1,3,5,7,2,8,4,6]
[4,6,8,2,7,5,3,1]=>[1,3,5,7,2,8,6,4]
[2,6,8,4,7,5,3,1]=>[1,3,5,7,4,8,6,2]
[4,6,8,7,2,5,3,1]=>[1,3,5,2,7,8,6,4]
[4,6,5,8,2,7,3,1]=>[1,3,7,2,8,5,6,4]
[2,1,6,8,4,7,5,3]=>[3,5,7,4,8,6,1,2]
[2,1,8,6,4,7,5,3]=>[3,5,7,4,6,8,1,2]
[6,8,7,4,2,5,3,1]=>[1,3,5,2,4,7,8,6]
[2,8,6,4,7,5,3,1]=>[1,3,5,7,4,6,8,2]
[4,8,6,2,7,5,3,1]=>[1,3,5,7,2,6,8,4]
[4,2,5,6,3,8,1,7]=>[7,1,8,3,6,5,2,4]
[6,2,5,7,4,8,3,1]=>[1,3,8,4,7,5,2,6]
[8,5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5,8]
[6,7,3,2,5,8,4,1]=>[1,4,8,5,2,3,7,6]
[3,2,6,4,8,1,5,7]=>[7,5,1,8,4,6,2,3]
[2,3,6,4,7,8,5,1]=>[1,5,8,7,4,6,3,2]
[7,5,1,8,3,4,6,2]=>[2,6,4,3,8,1,5,7]
[5,7,8,2,6,3,4,1]=>[1,4,3,6,2,8,7,5]
[7,1,6,3,5,8,4,2]=>[2,4,8,5,3,6,1,7]
[6,3,1,7,8,4,5,2]=>[2,5,4,8,7,1,3,6]
[5,3,6,7,4,1,8,2]=>[2,8,1,4,7,6,3,5]
[7,3,1,2,5,8,6,4]=>[4,6,8,5,2,1,3,7]
[1,6,3,5,2,4,8,7]=>[7,8,4,2,5,3,6,1]
[3,4,8,2,7,5,1,6]=>[6,1,5,7,2,8,4,3]
[6,3,2,8,5,7,4,1]=>[1,4,7,5,8,2,3,6]
[3,8,4,7,2,5,6,1]=>[1,6,5,2,7,4,8,3]
[2,4,8,1,5,3,7,6]=>[6,7,3,5,1,8,4,2]
[3,4,8,1,6,2,7,5]=>[5,7,2,6,1,8,4,3]
[1,8,4,6,7,3,5,2]=>[2,5,3,7,6,4,8,1]
[8,1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1,8]
[7,6,5,4,1,2,8,3]=>[3,8,2,1,4,5,6,7]
[5,7,6,8,3,4,2,1]=>[1,2,4,3,8,6,7,5]
[2,8,1,6,5,7,4,3]=>[3,4,7,5,6,1,8,2]
[4,6,8,2,5,3,7,1]=>[1,7,3,5,2,8,6,4]
[5,2,3,7,6,1,8,4]=>[4,8,1,6,7,3,2,5]
[8,1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1,8]
[5,2,3,7,4,8,6,1]=>[1,6,8,4,7,3,2,5]
[5,2,6,8,4,3,1,7]=>[7,1,3,4,8,6,2,5]
[7,8,1,5,4,3,6,2]=>[2,6,3,4,5,1,8,7]
[7,2,4,8,5,3,6,1]=>[1,6,3,5,8,4,2,7]
[3,7,5,1,8,4,6,2]=>[2,6,4,8,1,5,7,3]
[2,7,8,5,4,6,1,3]=>[3,1,6,4,5,8,7,2]
[5,7,4,3,8,6,2,1]=>[1,2,6,8,3,4,7,5]
[4,8,1,6,3,5,2,7]=>[7,2,5,3,6,1,8,4]
[8,3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3,8]
[3,1,8,2,4,5,7,6]=>[6,7,5,4,2,8,1,3]
[8,1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1,8]
[2,3,6,8,7,1,4,5]=>[5,4,1,7,8,6,3,2]
[4,3,2,8,5,7,1,6]=>[6,1,7,5,8,2,3,4]
[3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]
[4,7,3,2,5,1,8,6]=>[6,8,1,5,2,3,7,4]
[3,2,4,7,5,8,6,1]=>[1,6,8,5,7,4,2,3]
[4,2,3,8,6,5,1,7]=>[7,1,5,6,8,3,2,4]
[2,4,3,5,1,8,6,7]=>[7,6,8,1,5,3,4,2]
[3,2,8,1,4,6,5,7]=>[7,5,6,4,1,8,2,3]
[3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]
[3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]
[3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]
[4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]
[4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]
[4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]
[4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]
[2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]
[4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]
[4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]
[4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]
[4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]
[4,5,2,1,8,3,7,6]=>[6,7,3,8,1,2,5,4]
[4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]
[3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]
[2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]
[3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]
[4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]
[4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]
[4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]
[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]
[5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]
[4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]
[3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]
[3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]
[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]
[5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]
[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]
[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]
[4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]
[4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]
[3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]
[3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]
[3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]
[3,6,5,8,7,1,2,4]=>[4,2,1,7,8,5,6,3]
[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]
[3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3]
[3,4,1,5,8,7,2,6]=>[6,2,7,8,5,1,4,3]
[4,1,3,5,8,2,7,6]=>[6,7,2,8,5,3,1,4]
[4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]
[2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]
[3,4,5,2,8,7,1,6]=>[6,1,7,8,2,5,4,3]
[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]
[5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]
[5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]
[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]
[4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]
[3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]
[3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]
[4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]
[5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]
[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]
[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]
[8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]
[6,5,7,4,2,8,3,1]=>[1,3,8,2,4,7,5,6]
[6,7,5,3,8,2,4,1]=>[1,4,2,8,3,5,7,6]
[8,2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2,8]
[8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]
[8,6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6,8]
[8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]
[6,2,3,7,8,4,5,1]=>[1,5,4,8,7,3,2,6]
[7,5,8,2,6,3,4,1]=>[1,4,3,6,2,8,5,7]
[7,3,1,6,5,8,4,2]=>[2,4,8,5,6,1,3,7]
[1,5,6,7,3,4,8,2]=>[2,8,4,3,7,6,5,1]
[6,7,8,2,1,4,5,3]=>[3,5,4,1,2,8,7,6]
[8,4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4,8]
[5,3,8,4,7,2,6,1]=>[1,6,2,7,4,8,3,5]
[8,1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1,8]
[5,3,1,7,8,6,2,4]=>[4,2,6,8,7,1,3,5]
[3,5,8,2,7,1,6,4]=>[4,6,1,7,2,8,5,3]
[6,2,8,5,3,1,7,4]=>[4,7,1,3,5,8,2,6]
[8,2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2,8]
[3,4,2,8,5,1,7,6]=>[6,7,1,5,8,2,4,3]
[3,8,6,5,2,1,7,4]=>[4,7,1,2,5,6,8,3]
[8,3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3,8]
[4,8,5,7,2,1,3,6]=>[6,3,1,2,7,5,8,4]
[3,4,1,8,2,6,7,5]=>[5,7,6,2,8,1,4,3]
[8,4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4,8]
[6,8,3,4,1,5,7,2]=>[2,7,5,1,4,3,8,6]
[5,1,7,6,2,8,4,3]=>[3,4,8,2,6,7,1,5]
[6,8,2,5,7,4,1,3]=>[3,1,4,7,5,2,8,6]
[2,8,5,6,7,1,3,4]=>[4,3,1,7,6,5,8,2]
[2,5,7,6,3,1,8,4]=>[4,8,1,3,6,7,5,2]
[4,2,8,3,1,5,6,7]=>[7,6,5,1,3,8,2,4]
[2,5,7,3,8,4,6,1]=>[1,6,4,8,3,7,5,2]
[4,2,7,1,8,5,3,6]=>[6,3,5,8,1,7,2,4]
[4,2,1,8,7,5,6,3]=>[3,6,5,7,8,1,2,4]
[8,3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3,8]
[1,3,7,5,8,6,4,2]=>[2,4,6,8,5,7,3,1]
[5,7,8,4,3,1,6,2]=>[2,6,1,3,4,8,7,5]
[2,7,4,5,8,3,6,1]=>[1,6,3,8,5,4,7,2]
[3,5,7,1,4,8,6,2]=>[2,6,8,4,1,7,5,3]
[7,2,8,5,1,4,6,3]=>[3,6,4,1,5,8,2,7]
[1,6,5,3,8,4,2,7]=>[7,2,4,8,3,5,6,1]
[5,7,4,8,3,6,2,1]=>[1,2,6,3,8,4,7,5]
[4,8,6,1,3,5,2,7]=>[7,2,5,3,1,6,8,4]
[1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]
[8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]
[3,6,4,8,2,5,7,1]=>[1,7,5,2,8,4,6,3]
[4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]
[3,2,4,7,8,5,6,1]=>[1,6,5,8,7,4,2,3]
[2,6,4,3,8,5,1,7]=>[7,1,5,8,3,4,6,2]
[3,8,2,1,6,4,5,7]=>[7,5,4,6,1,2,8,3]
[8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]
[4,6,8,3,2,1,5,7]=>[7,5,1,2,3,8,6,4]
[3,2,6,8,5,4,1,7]=>[7,1,4,5,8,6,2,3]
[7,3,8,2,5,4,1,6]=>[6,1,4,5,2,8,3,7]
[4,2,5,3,8,7,6,1]=>[1,6,7,8,3,5,2,4]
[4,8,2,6,5,3,1,7]=>[7,1,3,5,6,2,8,4]
[2,6,8,5,4,1,3,7]=>[7,3,1,4,5,8,6,2]
[3,1,8,6,5,4,2,7]=>[7,2,4,5,6,8,1,3]
[5,4,8,7,3,2,6,1]=>[1,6,2,3,7,8,4,5]
[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]
[4,7,3,6,2,1,8,5]=>[5,8,1,2,6,3,7,4]
[5,4,3,7,1,8,2,6]=>[6,2,8,1,7,3,4,5]
[7,3,8,5,1,4,2,6]=>[6,2,4,1,5,8,3,7]
[5,4,8,7,6,2,1,3]=>[3,1,2,6,7,8,4,5]
[3,8,1,5,7,4,6,2]=>[2,6,4,7,5,1,8,3]
[4,8,5,7,3,1,6,2]=>[2,6,1,3,7,5,8,4]
[1,5,4,8,3,7,6,2]=>[2,6,7,3,8,4,5,1]
[4,8,3,6,7,1,5,2]=>[2,5,1,7,6,3,8,4]
[4,7,8,3,1,6,5,2]=>[2,5,6,1,3,8,7,4]
[8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]
[4,6,1,3,8,7,5,2]=>[2,5,7,8,3,1,6,4]
[6,8,2,1,7,4,5,3]=>[3,5,4,7,1,2,8,6]
[3,7,1,6,4,2,8,5]=>[5,8,2,4,6,1,7,3]
[3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]
[3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]
[3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]
[3,6,2,5,8,7,4,1]=>[1,4,7,8,5,2,6,3]
[8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]
[4,7,2,6,3,8,1,5]=>[5,1,8,3,6,2,7,4]
[6,3,2,4,8,7,5,1]=>[1,5,7,8,4,2,3,6]
[3,7,2,4,6,1,8,5]=>[5,8,1,6,4,2,7,3]
[5,3,7,2,8,1,4,6]=>[6,4,1,8,2,7,3,5]
[6,3,2,8,7,5,1,4]=>[4,1,5,7,8,2,3,6]
[7,3,8,2,6,5,1,4]=>[4,1,5,6,2,8,3,7]
[6,4,8,7,2,5,1,3]=>[3,1,5,2,7,8,4,6]
[2,5,4,8,1,7,6,3]=>[3,6,7,1,8,4,5,2]
[5,2,8,1,7,6,3,4]=>[4,3,6,7,1,8,2,5]
[6,2,1,3,8,7,5,4]=>[4,5,7,8,3,1,2,6]
[3,6,1,8,7,5,2,4]=>[4,2,5,7,8,1,6,3]
[5,6,1,2,8,7,4,3]=>[3,4,7,8,2,1,6,5]
[7,5,2,8,1,6,4,3]=>[3,4,6,1,8,2,5,7]
[2,7,6,8,1,5,4,3]=>[3,4,5,1,8,6,7,2]
[7,8,5,1,6,2,4,3]=>[3,4,2,6,1,5,8,7]
[7,4,8,6,1,2,5,3]=>[3,5,2,1,6,8,4,7]
[7,2,1,8,3,6,5,4]=>[4,5,6,3,8,1,2,7]
[5,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,5]
[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]
[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]
[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]
[7,3,1,4,8,2,5,6]=>[6,5,2,8,4,1,3,7]
[7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]
[6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]
[5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]
[4,7,5,1,6,2,8,3]=>[3,8,2,6,1,5,7,4]
[5,7,4,6,3,1,8,2]=>[2,8,1,3,6,4,7,5]
[7,5,1,4,3,2,8,6]=>[6,8,2,3,4,1,5,7]
[8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]
[6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]
[5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]
[4,5,1,2,7,6,8,3]=>[3,8,6,7,2,1,5,4]
[5,4,6,8,3,1,2,7]=>[7,2,1,3,8,6,4,5]
[6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]
[4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]
[1,3,8,4,5,7,2,6]=>[6,2,7,5,4,8,3,1]
[2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]
[2,6,8,4,3,5,1,7]=>[7,1,5,3,4,8,6,2]
[1,3,7,4,2,8,5,6]=>[6,5,8,2,4,7,3,1]
[7,5,8,6,2,1,3,4]=>[4,3,1,2,6,8,5,7]
[2,8,1,3,6,5,4,7]=>[7,4,5,6,3,1,8,2]
[2,8,7,3,5,4,1,6]=>[6,1,4,5,3,7,8,2]
[3,4,2,6,8,7,1,5]=>[5,1,7,8,6,2,4,3]
[8,4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4,8]
[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]
[6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]
[2,8,5,6,3,7,1,4]=>[4,1,7,3,6,5,8,2]
[7,4,2,5,8,1,6,3]=>[3,6,1,8,5,2,4,7]
[2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]
[3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]
[7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7]
[3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]
[2,8,6,5,3,4,1,7]=>[7,1,4,3,5,6,8,2]
[1,7,2,3,5,6,8,4]=>[4,8,6,5,3,2,7,1]
[3,4,6,2,8,5,7,1]=>[1,7,5,8,2,6,4,3]
[4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]
[4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]
[3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]
[4,7,1,6,5,2,8,3]=>[3,8,2,5,6,1,7,4]
[4,7,3,6,5,1,8,2]=>[2,8,1,5,6,3,7,4]
[4,3,7,1,6,8,5,2]=>[2,5,8,6,1,7,3,4]
[4,2,1,7,5,6,8,3]=>[3,8,6,5,7,1,2,4]
[3,2,4,8,6,7,1,5]=>[5,1,7,6,8,4,2,3]
[4,2,6,8,7,3,1,5]=>[5,1,3,7,8,6,2,4]
[3,4,6,1,8,5,2,7]=>[7,2,5,8,1,6,4,3]
[4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]
[4,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,4]
[4,3,7,5,6,8,2,1]=>[1,2,8,6,5,7,3,4]
[4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]
[2,8,7,4,5,3,1,6]=>[6,1,3,5,4,7,8,2]
[2,8,7,4,3,5,1,6]=>[6,1,5,3,4,7,8,2]
[3,8,1,4,2,6,5,7]=>[7,5,6,2,4,1,8,3]
[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]
[5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]
[5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]
[4,1,7,2,6,8,5,3]=>[3,5,8,6,2,7,1,4]
[4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]
[4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]
[3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3]
[3,8,2,4,1,6,7,5]=>[5,7,6,1,4,2,8,3]
[3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]
[2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]
[3,8,6,5,1,4,7,2]=>[2,7,4,1,5,6,8,3]
[3,8,2,1,4,6,7,5]=>[5,7,6,4,1,2,8,3]
[3,8,2,5,4,6,7,1]=>[1,7,6,4,5,2,8,3]
[4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]
[4,2,7,5,6,1,8,3]=>[3,8,1,6,5,7,2,4]
[4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]
[3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]
[2,8,7,3,4,5,1,6]=>[6,1,5,4,3,7,8,2]
[3,8,1,2,4,6,5,7]=>[7,5,6,4,2,1,8,3]
[5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]
[5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]
[3,8,1,5,2,6,4,7]=>[7,4,6,2,5,1,8,3]
[2,8,7,5,3,4,1,6]=>[6,1,4,3,5,7,8,2]
[2,8,7,5,4,3,1,6]=>[6,1,3,4,5,7,8,2]
[5,8,7,6,1,3,2,4]=>[4,2,3,1,6,7,8,5]
[5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]
[5,4,2,3,7,6,8,1]=>[1,8,6,7,3,2,4,5]
[7,4,3,5,2,8,1,6]=>[6,1,8,2,5,3,4,7]
[8,4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4,8]
[8,4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4,8]
[7,4,6,2,3,5,8,1]=>[1,8,5,3,2,6,4,7]
[5,1,7,2,4,6,8,3]=>[3,8,6,4,2,7,1,5]
[4,5,7,1,2,6,8,3]=>[3,8,6,2,1,7,5,4]
[5,4,1,7,3,6,8,2]=>[2,8,6,3,7,1,4,5]
[3,6,4,7,5,2,8,1]=>[1,8,2,5,7,4,6,3]
[3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]
[4,7,5,6,1,3,8,2]=>[2,8,3,1,6,5,7,4]
[5,7,6,4,3,1,8,2]=>[2,8,1,3,4,6,7,5]
[5,7,6,3,1,4,8,2]=>[2,8,4,1,3,6,7,5]
[7,5,2,3,4,8,1,6]=>[6,1,8,4,3,2,5,7]
[8,7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7,8]
[6,7,1,3,8,4,2,5]=>[5,2,4,8,3,1,7,6]
[7,6,1,3,4,8,5,2]=>[2,5,8,4,3,1,6,7]
[3,6,5,2,7,8,1,4]=>[4,1,8,7,2,5,6,3]
[3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]
[4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]
[1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]
[1,8,7,2,3,5,4,6]=>[6,4,5,3,2,7,8,1]
[1,8,7,2,5,3,4,6]=>[6,4,3,5,2,7,8,1]
[3,6,8,5,1,2,4,7]=>[7,4,2,1,5,8,6,3]
[3,7,5,1,8,2,6,4]=>[4,6,2,8,1,5,7,3]
[7,1,2,8,3,5,6,4]=>[4,6,5,3,8,2,1,7]
[6,1,7,8,2,5,3,4]=>[4,3,5,2,8,7,1,6]
[6,7,5,2,8,1,4,3]=>[3,4,1,8,2,5,7,6]
[7,1,4,5,8,6,2,3]=>[3,2,6,8,5,4,1,7]
[5,7,6,4,2,8,1,3]=>[3,1,8,2,4,6,7,5]
[7,5,6,1,2,8,4,3]=>[3,4,8,2,1,6,5,7]
[4,1,3,7,8,6,2,5]=>[5,2,6,8,7,3,1,4]
[5,1,4,3,6,8,7,2]=>[2,7,8,6,3,4,1,5]
[4,5,7,6,8,2,1,3]=>[3,1,2,8,6,7,5,4]
[5,7,6,8,4,2,1,3]=>[3,1,2,4,8,6,7,5]
[5,1,6,8,4,2,7,3]=>[3,7,2,4,8,6,1,5]
[7,4,8,2,3,6,5,1]=>[1,5,6,3,2,8,4,7]
[5,6,8,4,7,3,2,1]=>[1,2,3,7,4,8,6,5]
[6,4,7,8,5,2,1,3]=>[3,1,2,5,8,7,4,6]
[3,6,4,8,5,1,2,7]=>[7,2,1,5,8,4,6,3]
[3,7,4,8,1,2,5,6]=>[6,5,2,1,8,4,7,3]
[7,4,3,8,2,6,5,1]=>[1,5,6,2,8,3,4,7]
[7,6,8,3,2,5,4,1]=>[1,4,5,2,3,8,6,7]
[8,7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7,8]
[7,1,8,3,4,2,6,5]=>[5,6,2,4,3,8,1,7]
[7,6,8,3,1,4,5,2]=>[2,5,4,1,3,8,6,7]
[3,1,4,8,2,5,7,6]=>[6,7,5,2,8,4,1,3]
[4,8,5,2,1,3,6,7]=>[7,6,3,1,2,5,8,4]
[5,8,2,6,3,1,4,7]=>[7,4,1,3,6,2,8,5]
[6,8,2,3,7,4,1,5]=>[5,1,4,7,3,2,8,6]
[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]
[8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]
[8,1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1,8]
[7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]
[2,7,1,6,3,5,4,8]=>[8,4,5,3,6,1,7,2]
[2,7,1,5,4,3,6,8]=>[8,6,3,4,5,1,7,2]
[7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]
[8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]
[8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]
[8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]
[8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]
[8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]
[7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]
[2,7,1,4,5,3,6,8]=>[8,6,3,5,4,1,7,2]
[2,6,3,1,5,4,7,8]=>[8,7,4,5,1,3,6,2]
[6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]
[7,3,1,4,5,2,6,8]=>[8,6,2,5,4,1,3,7]
[7,3,1,5,4,2,6,8]=>[8,6,2,4,5,1,3,7]
[7,3,1,6,2,5,4,8]=>[8,4,5,2,6,1,3,7]
[3,7,1,6,2,5,4,8]=>[8,4,5,2,6,1,7,3]
[3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]
[3,6,2,1,5,4,7,8]=>[8,7,4,5,1,2,6,3]
[2,3,6,1,5,4,7,8]=>[8,7,4,5,1,6,3,2]
[3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]
[6,3,4,1,5,2,7,8]=>[8,7,2,5,1,4,3,6]
[6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]
[2,6,4,1,5,3,7,8]=>[8,7,3,5,1,4,6,2]
[2,6,5,1,3,7,4,8]=>[8,4,7,3,1,5,6,2]
[6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]
[6,5,2,1,3,7,4,8]=>[8,4,7,3,1,2,5,6]
[7,6,1,2,4,5,3,8]=>[8,3,5,4,2,1,6,7]
[6,7,1,2,8,3,5,4]=>[4,5,3,8,2,1,7,6]
[6,7,1,2,5,4,3,8]=>[8,3,4,5,2,1,7,6]
[5,6,2,1,3,7,4,8]=>[8,4,7,3,1,2,6,5]
[5,2,6,1,3,7,4,8]=>[8,4,7,3,1,6,2,5]
[2,4,6,1,5,3,7,8]=>[8,7,3,5,1,6,4,2]
[4,7,1,3,5,2,6,8]=>[8,6,2,5,3,1,7,4]
[4,7,1,5,3,2,6,8]=>[8,6,2,3,5,1,7,4]
[5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]
[5,7,1,6,2,3,8,4]=>[4,8,3,2,6,1,7,5]
[5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]
[4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]
[5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]
[3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]
[6,5,1,8,7,3,4,2]=>[2,4,3,7,8,1,5,6]
[8,2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2,8]
[6,8,5,2,3,4,1,7]=>[7,1,4,3,2,5,8,6]
[2,6,8,7,1,5,3,4]=>[4,3,5,1,7,8,6,2]
[8,5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5,8]
[6,5,1,2,7,8,4,3]=>[3,4,8,7,2,1,5,6]
[4,7,6,1,5,3,8,2]=>[2,8,3,5,1,6,7,4]
[5,7,6,4,1,3,8,2]=>[2,8,3,1,4,6,7,5]
[7,6,2,4,5,3,8,1]=>[1,8,3,5,4,2,6,7]
[6,1,7,5,3,8,4,2]=>[2,4,8,3,5,7,1,6]
[8,6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6,8]
[8,5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5,8]
[7,6,1,5,3,8,4,2]=>[2,4,8,3,5,1,6,7]
[5,6,2,4,7,8,1,3]=>[3,1,8,7,4,2,6,5]
[3,4,6,1,7,8,5,2]=>[2,5,8,7,1,6,4,3]
[3,4,8,6,7,1,5,2]=>[2,5,1,7,6,8,4,3]
[4,8,5,6,7,2,3,1]=>[1,3,2,7,6,5,8,4]
[5,8,6,4,1,2,7,3]=>[3,7,2,1,4,6,8,5]
[5,8,6,1,7,2,4,3]=>[3,4,2,7,1,6,8,5]
[5,8,7,3,2,6,4,1]=>[1,4,6,2,3,7,8,5]
[5,8,1,7,2,6,4,3]=>[3,4,6,2,7,1,8,5]
[8,1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1,8]
[8,1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1,8]
[6,8,7,2,5,1,3,4]=>[4,3,1,5,2,7,8,6]
[5,8,7,2,1,6,3,4]=>[4,3,6,1,2,7,8,5]
[4,8,1,5,2,6,7,3]=>[3,7,6,2,5,1,8,4]
[3,7,8,5,1,6,2,4]=>[4,2,6,1,5,8,7,3]
[6,5,2,7,8,1,4,3]=>[3,4,1,8,7,2,5,6]
[7,1,2,8,5,6,3,4]=>[4,3,6,5,8,2,1,7]
[8,7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7,8]
[8,6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6,8]
[6,1,7,8,5,2,3,4]=>[4,3,2,5,8,7,1,6]
[7,5,6,2,1,8,4,3]=>[3,4,8,1,2,6,5,7]
[8,7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7,8]
[7,1,3,5,8,6,2,4]=>[4,2,6,8,5,3,1,7]
[5,1,3,4,6,8,7,2]=>[2,7,8,6,4,3,1,5]
[4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]
[5,6,3,4,8,1,7,2]=>[2,7,1,8,4,3,6,5]
[4,6,7,8,5,1,3,2]=>[2,3,1,5,8,7,6,4]
[8,4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4,8]
[8,5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5,8]
[5,1,8,6,3,4,7,2]=>[2,7,4,3,6,8,1,5]
[4,6,8,1,5,3,7,2]=>[2,7,3,5,1,8,6,4]
[6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]
[3,6,4,8,7,1,5,2]=>[2,5,1,7,8,4,6,3]
[6,5,8,1,3,4,7,2]=>[2,7,4,3,1,8,5,6]
[5,6,8,3,1,2,7,4]=>[4,7,2,1,3,8,6,5]
[6,1,8,3,5,2,7,4]=>[4,7,2,5,3,8,1,6]
[7,6,8,3,5,2,1,4]=>[4,1,2,5,3,8,6,7]
[8,6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6,8]
[8,7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7,8]
[6,7,8,3,5,1,2,4]=>[4,2,1,5,3,8,7,6]
[3,4,8,1,2,6,7,5]=>[5,7,6,2,1,8,4,3]
[5,8,2,4,3,6,7,1]=>[1,7,6,3,4,2,8,5]
[5,8,2,3,1,6,7,4]=>[4,7,6,1,3,2,8,5]
[6,8,2,3,5,1,7,4]=>[4,7,1,5,3,2,8,6]
[7,8,2,3,5,6,1,4]=>[4,1,6,5,3,2,8,7]
[8,6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6,8]
[2,4,8,6,1,3,7,5]=>[5,7,3,1,6,8,4,2]
[6,7,1,8,4,3,5,2]=>[2,5,3,4,8,1,7,6]
[2,7,8,6,1,4,3,5]=>[5,3,4,1,6,8,7,2]
[2,7,3,8,1,6,4,5]=>[5,4,6,1,8,3,7,2]
[7,5,1,8,2,4,6,3]=>[3,6,4,2,8,1,5,7]
[2,7,8,4,1,6,3,5]=>[5,3,6,1,4,8,7,2]
[2,6,5,4,1,3,8,7]=>[7,8,3,1,4,5,6,2]
[4,1,7,6,3,8,2,5]=>[5,2,8,3,6,7,1,4]
[4,8,2,5,7,6,3,1]=>[1,3,6,7,5,2,8,4]
[3,4,6,5,1,8,2,7]=>[7,2,8,1,5,6,4,3]
[2,6,5,3,4,1,8,7]=>[7,8,1,4,3,5,6,2]
[4,6,1,5,2,3,8,7]=>[7,8,3,2,5,1,6,4]
[6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]
[2,6,7,5,1,8,4,3]=>[3,4,8,1,5,7,6,2]
[8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]
[6,2,5,1,8,3,4,7]=>[7,4,3,8,1,5,2,6]
[7,6,5,2,8,3,4,1]=>[1,4,3,8,2,5,6,7]
[2,6,3,5,1,8,7,4]=>[4,7,8,1,5,3,6,2]
[2,4,7,6,5,8,1,3]=>[3,1,8,5,6,7,4,2]
[2,1,4,8,7,6,3,5]=>[5,3,6,7,8,4,1,2]
[7,4,6,8,5,3,2,1]=>[1,2,3,5,8,6,4,7]
[8,1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1,8]
[3,2,8,7,5,1,6,4]=>[4,6,1,5,7,8,2,3]
[4,8,5,1,6,7,2,3]=>[3,2,7,6,1,5,8,4]
[3,8,5,1,6,7,2,4]=>[4,2,7,6,1,5,8,3]
[7,8,6,1,3,5,2,4]=>[4,2,5,3,1,6,8,7]
[5,6,7,2,8,1,3,4]=>[4,3,1,8,2,7,6,5]
[2,5,1,8,6,7,4,3]=>[3,4,7,6,8,1,5,2]
[3,5,1,8,6,7,4,2]=>[2,4,7,6,8,1,5,3]
[5,2,3,8,6,7,4,1]=>[1,4,7,6,8,3,2,5]
[8,3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3,8]
[5,1,3,8,6,7,4,2]=>[2,4,7,6,8,3,1,5]
[3,2,5,8,6,7,4,1]=>[1,4,7,6,8,5,2,3]
[6,2,1,5,3,8,7,4]=>[4,7,8,3,5,1,2,6]
[5,6,3,2,8,1,4,7]=>[7,4,1,8,2,3,6,5]
[8,1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1,8]
[8,7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7,8]
[4,7,6,8,3,2,5,1]=>[1,5,2,3,8,6,7,4]
[2,7,5,8,1,3,4,6]=>[6,4,3,1,8,5,7,2]
[7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]
[8,1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1,8]
[3,4,8,7,5,1,6,2]=>[2,6,1,5,7,8,4,3]
[6,3,8,1,4,2,5,7]=>[7,5,2,4,1,8,3,6]
[6,3,8,5,7,4,1,2]=>[2,1,4,7,5,8,3,6]
[7,4,6,8,5,1,3,2]=>[2,3,1,5,8,6,4,7]
[2,1,4,8,7,5,6,3]=>[3,6,5,7,8,4,1,2]
[7,1,5,8,2,6,4,3]=>[3,4,6,2,8,5,1,7]
[3,6,8,2,4,1,7,5]=>[5,7,1,4,2,8,6,3]
[4,5,8,2,6,7,3,1]=>[1,3,7,6,2,8,5,4]
[5,2,8,1,6,7,3,4]=>[4,3,7,6,1,8,2,5]
[2,5,8,4,6,7,3,1]=>[1,3,7,6,4,8,5,2]
[5,8,3,4,6,7,2,1]=>[1,2,7,6,4,3,8,5]
[8,4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4,8]
[4,2,8,1,6,7,3,5]=>[5,3,7,6,1,8,2,4]
[2,4,8,1,6,7,3,5]=>[5,3,7,6,1,8,4,2]
[5,1,8,2,6,7,3,4]=>[4,3,7,6,2,8,1,5]
[3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]
[7,8,5,3,6,4,2,1]=>[1,2,4,6,3,5,8,7]
[2,8,5,7,4,1,3,6]=>[6,3,1,4,7,5,8,2]
[5,8,4,1,6,7,2,3]=>[3,2,7,6,1,4,8,5]
[3,8,1,4,6,7,2,5]=>[5,2,7,6,4,1,8,3]
[8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]
[6,2,7,3,8,4,1,5]=>[5,1,4,8,3,7,2,6]
[7,4,3,2,8,5,1,6]=>[6,1,5,8,2,3,4,7]
[5,3,2,8,4,6,1,7]=>[7,1,6,4,8,2,3,5]
[8,4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4,8]
[7,4,2,5,3,1,6,8]=>[8,6,1,3,5,2,4,7]
[8,3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3,8]
[5,4,8,3,2,6,1,7]=>[7,1,6,2,3,8,4,5]
[3,5,8,2,4,6,1,7]=>[7,1,6,4,2,8,5,3]
[6,4,7,8,2,3,1,5]=>[5,1,3,2,8,7,4,6]
[5,8,3,6,4,2,1,7]=>[7,1,2,4,6,3,8,5]
[4,8,6,2,5,3,1,7]=>[7,1,3,5,2,6,8,4]
[1,6,4,3,2,8,7,5]=>[5,7,8,2,3,4,6,1]
[1,5,3,2,8,4,7,6]=>[6,7,4,8,2,3,5,1]
[5,7,4,3,1,2,6,8]=>[8,6,2,1,3,4,7,5]
[2,8,7,3,5,1,4,6]=>[6,4,1,5,3,7,8,2]
[7,3,8,6,4,1,2,5]=>[5,2,1,4,6,8,3,7]
[6,1,2,7,3,8,5,4]=>[4,5,8,3,7,2,1,6]
[2,1,7,4,3,8,6,5]=>[5,6,8,3,4,7,1,2]
[6,1,4,3,8,2,7,5]=>[5,7,2,8,3,4,1,6]
[5,1,3,2,8,7,4,6]=>[6,4,7,8,2,3,1,5]
[1,8,4,2,7,6,5,3]=>[3,5,6,7,2,4,8,1]
[1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]
[5,1,4,8,3,7,2,6]=>[6,2,7,3,8,4,1,5]
[2,1,6,8,5,4,7,3]=>[3,7,4,5,8,6,1,2]
[6,1,5,7,8,2,4,3]=>[3,4,2,8,7,5,1,6]
[8,3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3,8]
[7,4,8,6,1,3,2,5]=>[5,2,3,1,6,8,4,7]
[3,7,6,1,5,2,4,8]=>[8,4,2,5,1,6,7,3]
[1,5,4,8,3,2,7,6]=>[6,7,2,3,8,4,5,1]
[7,3,6,1,2,5,4,8]=>[8,4,5,2,1,6,3,7]
[5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]
[5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]
[4,6,8,2,5,1,3,7]=>[7,3,1,5,2,8,6,4]
[7,4,6,2,1,5,3,8]=>[8,3,5,1,2,6,4,7]
[1,2,6,3,8,5,7,4]=>[4,7,5,8,3,6,2,1]
[1,5,2,6,8,4,7,3]=>[3,7,4,8,6,2,5,1]
[5,7,2,3,8,1,4,6]=>[6,4,1,8,3,2,7,5]
[6,4,7,5,8,1,2,3]=>[3,2,1,8,5,7,4,6]
[7,4,8,5,1,6,3,2]=>[2,3,6,1,5,8,4,7]
[5,8,3,6,1,7,4,2]=>[2,4,7,1,6,3,8,5]
[8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]
[7,4,2,1,5,8,6,3]=>[3,6,8,5,1,2,4,7]
[7,6,4,1,8,5,2,3]=>[3,2,5,8,1,4,6,7]
[1,6,4,8,7,5,3,2]=>[2,3,5,7,8,4,6,1]
[6,3,1,2,8,4,7,5]=>[5,7,4,8,2,1,3,6]
[7,5,1,3,2,8,6,4]=>[4,6,8,2,3,1,5,7]
[4,7,1,2,5,8,6,3]=>[3,6,8,5,2,1,7,4]
[6,8,4,1,2,7,5,3]=>[3,5,7,2,1,4,8,6]
[7,5,8,1,2,6,4,3]=>[3,4,6,2,1,8,5,7]
[7,4,8,1,6,3,5,2]=>[2,5,3,6,1,8,4,7]
[5,8,2,1,7,3,6,4]=>[4,6,3,7,1,2,8,5]
[3,6,1,8,2,4,7,5]=>[5,7,4,2,8,1,6,3]
[1,3,8,7,6,2,5,4]=>[4,5,2,6,7,8,3,1]
[5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5]
[3,5,1,8,7,2,4,6]=>[6,4,2,7,8,1,5,3]
[4,6,1,8,3,7,2,5]=>[5,2,7,3,8,1,6,4]
[4,7,1,2,8,6,3,5]=>[5,3,6,8,2,1,7,4]
[5,8,4,1,7,6,2,3]=>[3,2,6,7,1,4,8,5]
[7,6,8,1,5,4,2,3]=>[3,2,4,5,1,8,6,7]
[8,6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6,8]
[7,1,5,8,6,4,3,2]=>[2,3,4,6,8,5,1,7]
[5,1,8,7,3,6,4,2]=>[2,4,6,3,7,8,1,5]
[4,1,8,7,6,2,5,3]=>[3,5,2,6,7,8,1,4]
[3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]
[1,6,4,5,2,3,7,8]=>[8,7,3,2,5,4,6,1]
[1,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,1]
[1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]
[1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]
[1,6,3,4,2,5,7,8]=>[8,7,5,2,4,3,6,1]
[1,7,3,4,2,5,6,8]=>[8,6,5,2,4,3,7,1]
[1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]
[1,8,5,7,3,4,2,6]=>[6,2,4,3,7,5,8,1]
[1,7,3,4,2,6,5,8]=>[8,5,6,2,4,3,7,1]
[1,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,1]
[1,4,2,8,5,7,3,6]=>[6,3,7,5,8,2,4,1]
[1,7,3,5,2,6,4,8]=>[8,4,6,2,5,3,7,1]
[1,8,4,7,3,5,2,6]=>[6,2,5,3,7,4,8,1]
[1,7,3,6,2,5,4,8]=>[8,4,5,2,6,3,7,1]
[1,7,3,6,2,4,5,8]=>[8,5,4,2,6,3,7,1]
[1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]
[1,8,5,6,2,3,4,7]=>[7,4,3,2,6,5,8,1]
[1,8,5,6,2,4,3,7]=>[7,3,4,2,6,5,8,1]
[1,3,2,8,5,6,4,7]=>[7,4,6,5,8,2,3,1]
[1,4,2,8,5,6,3,7]=>[7,3,6,5,8,2,4,1]
[1,5,2,8,4,6,3,7]=>[7,3,6,4,8,2,5,1]
[1,6,2,8,4,5,3,7]=>[7,3,5,4,8,2,6,1]
[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]
[8,6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6,8]
[1,6,4,7,2,8,3,5]=>[5,3,8,2,7,4,6,1]
[1,4,7,3,5,8,2,6]=>[6,2,8,5,3,7,4,1]
[8,4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4,8]
[5,4,8,2,3,6,1,7]=>[7,1,6,3,2,8,4,5]
[7,4,8,5,2,3,1,6]=>[6,1,3,2,5,8,4,7]
[3,8,6,2,4,5,1,7]=>[7,1,5,4,2,6,8,3]
[4,8,6,2,3,5,1,7]=>[7,1,5,3,2,6,8,4]
[1,7,5,3,4,8,2,6]=>[6,2,8,4,3,5,7,1]
[1,7,6,4,8,2,3,5]=>[5,3,2,8,4,6,7,1]
[5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]
[6,8,5,3,4,1,2,7]=>[7,2,1,4,3,5,8,6]
[6,8,3,7,2,1,4,5]=>[5,4,1,2,7,3,8,6]
[8,5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5,8]
[6,1,3,7,4,8,2,5]=>[5,2,8,4,7,3,1,6]
[4,1,7,3,5,8,2,6]=>[6,2,8,5,3,7,1,4]
[7,1,6,4,8,2,3,5]=>[5,3,2,8,4,6,1,7]
[1,8,5,7,2,3,4,6]=>[6,4,3,2,7,5,8,1]
[6,1,5,8,2,3,4,7]=>[7,4,3,2,8,5,1,6]
[5,1,7,3,8,2,4,6]=>[6,4,2,8,3,7,1,5]
[6,1,5,7,8,2,3,4]=>[4,3,2,8,7,5,1,6]
[7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]
[3,8,7,5,1,2,4,6]=>[6,4,2,1,5,7,8,3]
[3,7,6,1,2,4,5,8]=>[8,5,4,2,1,6,7,3]
[4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]
[1,6,5,8,2,3,4,7]=>[7,4,3,2,8,5,6,1]
[6,5,8,4,1,2,3,7]=>[7,3,2,1,4,8,5,6]
[8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]
[1,5,7,4,8,2,3,6]=>[6,3,2,8,4,7,5,1]
[7,6,4,8,2,1,3,5]=>[5,3,1,2,8,4,6,7]
[7,6,2,3,8,1,4,5]=>[5,4,1,8,3,2,6,7]
[7,4,8,5,1,6,2,3]=>[3,2,6,1,5,8,4,7]
[8,6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6,8]
[8,6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6,8]
[1,7,2,8,6,3,4,5]=>[5,4,3,6,8,2,7,1]
[7,6,1,3,8,2,4,5]=>[5,4,2,8,3,1,6,7]
[7,5,8,1,3,6,2,4]=>[4,2,6,3,1,8,5,7]
[5,4,1,8,2,3,6,7]=>[7,6,3,2,8,1,4,5]
[1,4,8,7,2,3,5,6]=>[6,5,3,2,7,8,4,1]
[1,5,8,7,2,3,4,6]=>[6,4,3,2,7,8,5,1]
[6,5,1,8,2,3,4,7]=>[7,4,3,2,8,1,5,6]
[5,7,1,3,8,2,4,6]=>[6,4,2,8,3,1,7,5]
[7,6,8,1,5,2,3,4]=>[4,3,2,5,1,8,6,7]
[7,1,5,8,6,2,3,4]=>[4,3,2,6,8,5,1,7]
[6,1,8,2,7,3,4,5]=>[5,4,3,7,2,8,1,6]
[4,1,8,7,2,3,5,6]=>[6,5,3,2,7,8,1,4]
[5,1,8,7,2,3,4,6]=>[6,4,3,2,7,8,1,5]
[1,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,1]
[1,8,7,3,6,5,4,2]=>[2,4,5,6,3,7,8,1]
[7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]
[7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]
[6,4,2,3,8,5,7,1]=>[1,7,5,8,3,2,4,6]
[6,4,2,7,5,8,3,1]=>[1,3,8,5,7,2,4,6]
[2,4,1,7,5,8,3,6]=>[6,3,8,5,7,1,4,2]
[7,1,4,6,5,2,3,8]=>[8,3,2,5,6,4,1,7]
[7,1,4,6,5,8,2,3]=>[3,2,8,5,6,4,1,7]
[7,1,4,6,3,8,2,5]=>[5,2,8,3,6,4,1,7]
[7,1,4,3,2,5,8,6]=>[6,8,5,2,3,4,1,7]
[7,1,4,6,5,2,8,3]=>[3,8,2,5,6,4,1,7]
[7,1,4,6,5,3,8,2]=>[2,8,3,5,6,4,1,7]
[7,1,4,6,5,3,2,8]=>[8,2,3,5,6,4,1,7]
[6,4,2,7,5,3,8,1]=>[1,8,3,5,7,2,4,6]
[3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]
[3,4,7,1,6,8,2,5]=>[5,2,8,6,1,7,4,3]
[3,4,7,1,6,8,5,2]=>[2,5,8,6,1,7,4,3]
[2,4,1,7,5,3,6,8]=>[8,6,3,5,7,1,4,2]
[3,4,1,7,8,6,2,5]=>[5,2,6,8,7,1,4,3]
[6,4,2,3,8,5,1,7]=>[7,1,5,8,3,2,4,6]
[6,4,2,7,5,8,1,3]=>[3,1,8,5,7,2,4,6]
[6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]
[3,4,7,2,6,8,1,5]=>[5,1,8,6,2,7,4,3]
[5,4,7,3,6,8,2,1]=>[1,2,8,6,3,7,4,5]
[3,4,7,2,6,5,1,8]=>[8,1,5,6,2,7,4,3]
[4,8,3,2,5,6,1,7]=>[7,1,6,5,2,3,8,4]
[4,8,7,3,5,1,2,6]=>[6,2,1,5,3,7,8,4]
[4,8,7,1,3,5,2,6]=>[6,2,5,3,1,7,8,4]
[4,8,3,1,2,6,5,7]=>[7,5,6,2,1,3,8,4]
[3,4,7,1,6,2,5,8]=>[8,5,2,6,1,7,4,3]
[3,4,7,1,6,2,8,5]=>[5,8,2,6,1,7,4,3]
[3,4,7,2,6,5,8,1]=>[1,8,5,6,2,7,4,3]
[4,8,3,1,2,6,7,5]=>[5,7,6,2,1,3,8,4]
[5,8,1,6,3,4,2,7]=>[7,2,4,3,6,1,8,5]
[6,8,5,1,3,7,2,4]=>[4,2,7,3,1,5,8,6]
[6,8,5,1,3,4,7,2]=>[2,7,4,3,1,5,8,6]
[5,8,3,4,2,6,7,1]=>[1,7,6,2,4,3,8,5]
[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]
[5,4,7,2,6,1,8,3]=>[3,8,1,6,2,7,4,5]
[6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]
[6,4,3,7,5,1,8,2]=>[2,8,1,5,7,3,4,6]
[6,2,4,3,1,5,8,7]=>[7,8,5,1,3,4,2,6]
[3,8,7,4,1,5,2,6]=>[6,2,5,1,4,7,8,3]
[2,4,7,3,6,1,5,8]=>[8,5,1,6,3,7,4,2]
[5,8,3,2,1,6,4,7]=>[7,4,6,1,2,3,8,5]
[5,8,7,4,3,1,2,6]=>[6,2,1,3,4,7,8,5]
[5,4,7,3,6,2,1,8]=>[8,1,2,6,3,7,4,5]
[7,3,8,2,1,6,5,4]=>[4,5,6,1,2,8,3,7]
[7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]
[6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]
[4,3,2,8,6,5,1,7]=>[7,1,5,6,8,2,3,4]
[4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]
[3,2,5,8,6,1,4,7]=>[7,4,1,6,8,5,2,3]
[8,4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4,8]
[4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]
[5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]
[6,2,5,8,3,1,4,7]=>[7,4,1,3,8,5,2,6]
[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]
[5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]
[5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]
[5,3,2,8,6,4,1,7]=>[7,1,4,6,8,2,3,5]
[7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]
[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]
[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]
[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]
[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]
[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]
[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]
[8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]
[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]
[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]
[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]
[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]
[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]
[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]
[6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]
[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]
[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]
[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]
[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]
[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]
[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]
[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]
[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]
[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]
[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]
[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]
[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]
[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]
[5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]
[5,3,6,1,4,8,7,2]=>[2,7,8,4,1,6,3,5]
[5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]
[4,3,1,5,6,8,7,2]=>[2,7,8,6,5,1,3,4]
[4,2,1,5,8,6,3,7]=>[7,3,6,8,5,1,2,4]
[4,2,1,5,8,6,7,3]=>[3,7,6,8,5,1,2,4]
[4,2,1,5,8,7,6,3]=>[3,6,7,8,5,1,2,4]
[4,3,1,5,7,8,6,2]=>[2,6,8,7,5,1,3,4]
[4,3,1,7,5,8,6,2]=>[2,6,8,5,7,1,3,4]
[6,7,3,1,4,8,2,5]=>[5,2,8,4,1,3,7,6]
[5,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,5]
[4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]
[3,2,1,8,5,4,6,7]=>[7,6,4,5,8,1,2,3]
[3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]
[3,2,1,8,7,5,4,6]=>[6,4,5,7,8,1,2,3]
[5,2,7,1,8,4,3,6]=>[6,3,4,8,1,7,2,5]
[6,7,2,1,8,4,3,5]=>[5,3,4,8,1,2,7,6]
[6,7,2,1,8,4,5,3]=>[3,5,4,8,1,2,7,6]
[3,2,1,8,5,6,4,7]=>[7,4,6,5,8,1,2,3]
[3,2,1,8,6,5,4,7]=>[7,4,5,6,8,1,2,3]
[4,3,1,6,7,8,5,2]=>[2,5,8,7,6,1,3,4]
[4,2,1,6,8,7,5,3]=>[3,5,7,8,6,1,2,4]
[4,2,1,6,8,5,3,7]=>[7,3,5,8,6,1,2,4]
[5,2,6,1,8,4,3,7]=>[7,3,4,8,1,6,2,5]
[5,2,6,1,8,7,4,3]=>[3,4,7,8,1,6,2,5]
[5,2,6,1,8,7,3,4]=>[4,3,7,8,1,6,2,5]
[5,2,6,1,8,3,4,7]=>[7,4,3,8,1,6,2,5]
[4,2,1,6,8,3,7,5]=>[5,7,3,8,6,1,2,4]
[4,3,1,6,7,8,2,5]=>[5,2,8,7,6,1,3,4]
[6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]
[4,2,1,7,8,6,3,5]=>[5,3,6,8,7,1,2,4]
[3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]
[3,2,1,8,6,4,7,5]=>[5,7,4,6,8,1,2,3]
[3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]
[3,2,1,8,4,6,5,7]=>[7,5,6,4,8,1,2,3]
[3,2,1,8,4,6,7,5]=>[5,7,6,4,8,1,2,3]
[3,2,1,8,4,7,6,5]=>[5,6,7,4,8,1,2,3]
[3,2,1,8,7,4,6,5]=>[5,6,4,7,8,1,2,3]
[4,2,1,7,8,3,6,5]=>[5,6,3,8,7,1,2,4]
[5,2,7,1,8,3,6,4]=>[4,6,3,8,1,7,2,5]
[6,7,2,1,8,3,5,4]=>[4,5,3,8,1,2,7,6]
[5,2,7,1,8,3,4,6]=>[6,4,3,8,1,7,2,5]
[4,2,1,7,8,3,5,6]=>[6,5,3,8,7,1,2,4]
[3,2,1,8,4,5,7,6]=>[6,7,5,4,8,1,2,3]
[7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]
[7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]
[7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]
[7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]
[7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]
[7,3,8,5,2,4,6,1]=>[1,6,4,2,5,8,3,7]
[7,3,8,4,5,6,2,1]=>[1,2,6,5,4,8,3,7]
[6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]
[6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]
[6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]
[6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]
[5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]
[5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]
[5,3,8,2,4,6,7,1]=>[1,7,6,4,2,8,3,5]
[6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]
[5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]
[6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]
[6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]
[5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]
[5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]
[5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]
[5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]
[6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]
[6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]
[5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]
[5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]
[3,6,4,2,1,5,8,7]=>[7,8,5,1,2,4,6,3]
[3,5,8,6,4,2,1,7]=>[7,1,2,4,6,8,5,3]
[5,8,6,3,4,2,1,7]=>[7,1,2,4,3,6,8,5]
[5,6,3,4,2,1,8,7]=>[7,8,1,2,4,3,6,5]
[6,3,4,2,1,5,8,7]=>[7,8,5,1,2,4,3,6]
[5,6,4,2,1,3,8,7]=>[7,8,3,1,2,4,6,5]
[2,5,4,1,7,8,6,3]=>[3,6,8,7,1,4,5,2]
[2,7,8,5,4,1,6,3]=>[3,6,1,4,5,8,7,2]
[2,8,5,4,1,6,3,7]=>[7,3,6,1,4,5,8,2]
[2,6,3,8,5,4,1,7]=>[7,1,4,5,8,3,6,2]
[2,8,6,3,5,4,1,7]=>[7,1,4,5,3,6,8,2]
[5,8,6,4,2,1,3,7]=>[7,3,1,2,4,6,8,5]
[4,2,1,5,7,8,6,3]=>[3,6,8,7,5,1,2,4]
[2,7,8,6,3,5,4,1]=>[1,4,5,3,6,8,7,2]
[4,3,8,5,7,6,2,1]=>[1,2,6,7,5,8,3,4]
[7,6,2,1,8,4,3,5]=>[5,3,4,8,1,2,6,7]
[2,1,8,5,6,4,3,7]=>[7,3,4,6,5,8,1,2]
[4,2,1,8,5,6,3,7]=>[7,3,6,5,8,1,2,4]
[8,4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4,8]
[2,5,6,3,8,4,1,7]=>[7,1,4,8,3,6,5,2]
[6,3,4,2,1,8,5,7]=>[7,5,8,1,2,4,3,6]
[3,7,8,5,6,4,2,1]=>[1,2,4,6,5,8,7,3]
[3,8,5,6,4,2,1,7]=>[7,1,2,4,6,5,8,3]
[3,6,4,2,1,8,5,7]=>[7,5,8,1,2,4,6,3]
[3,8,6,4,2,1,5,7]=>[7,5,1,2,4,6,8,3]
[3,7,8,6,4,2,1,5]=>[5,1,2,4,6,8,7,3]
[8,5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5,8]
[7,6,2,4,1,8,5,3]=>[3,5,8,1,4,2,6,7]
[8,5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5,8]
[7,6,2,3,8,5,4,1]=>[1,4,5,8,3,2,6,7]
[2,1,7,8,6,4,3,5]=>[5,3,4,6,8,7,1,2]
[2,1,6,4,3,7,8,5]=>[5,8,7,3,4,6,1,2]
[6,4,2,1,3,7,8,5]=>[5,8,7,3,1,2,4,6]
[6,3,7,8,4,2,1,5]=>[5,1,2,4,8,7,3,6]
[7,8,4,2,1,6,3,5]=>[5,3,6,1,2,4,8,7]
[5,7,6,2,3,8,4,1]=>[1,4,8,3,2,6,7,5]
[2,6,1,8,4,3,7,5]=>[5,7,3,4,8,1,6,2]
[2,6,1,7,5,8,4,3]=>[3,4,8,5,7,1,6,2]
[8,4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4,8]
[8,5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5,8]
[4,8,5,7,6,2,1,3]=>[3,1,2,6,7,5,8,4]
[4,7,6,2,1,3,8,5]=>[5,8,3,1,2,6,7,4]
[7,5,6,1,8,4,2,3]=>[3,2,4,8,1,6,5,7]
[2,7,5,8,4,3,6,1]=>[1,6,3,4,8,5,7,2]
[2,8,4,3,6,1,7,5]=>[5,7,1,6,3,4,8,2]
[6,4,7,8,3,2,1,5]=>[5,1,2,3,8,7,4,6]
[6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]
[6,5,3,2,8,4,1,7]=>[7,1,4,8,2,3,5,6]
[6,5,2,7,8,4,1,3]=>[3,1,4,8,7,2,5,6]
[6,4,3,2,5,8,1,7]=>[7,1,8,5,2,3,4,6]
[6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]
[6,3,2,7,5,4,1,8]=>[8,1,4,5,7,2,3,6]
[8,4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4,8]
[1,5,3,7,4,2,8,6]=>[6,8,2,4,7,3,5,1]
[1,6,7,3,4,2,8,5]=>[5,8,2,4,3,7,6,1]
[8,6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6,8]
[1,7,6,3,4,2,8,5]=>[5,8,2,4,3,6,7,1]
[1,8,6,3,2,5,7,4]=>[4,7,5,2,3,6,8,1]
[8,7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7,8]
[7,8,5,2,1,4,6,3]=>[3,6,4,1,2,5,8,7]
[6,8,5,2,3,1,7,4]=>[4,7,1,3,2,5,8,6]
[5,8,6,2,3,1,7,4]=>[4,7,1,3,2,6,8,5]
[4,8,2,6,3,1,7,5]=>[5,7,1,3,6,2,8,4]
[3,2,8,6,4,1,7,5]=>[5,7,1,4,6,8,2,3]
[3,2,1,7,5,4,8,6]=>[6,8,4,5,7,1,2,3]
[4,1,3,7,5,2,8,6]=>[6,8,2,5,7,3,1,4]
[5,1,7,3,4,2,8,6]=>[6,8,2,4,3,7,1,5]
[7,1,6,3,2,5,8,4]=>[4,8,5,2,3,6,1,7]
[1,2,7,4,3,6,8,5]=>[5,8,6,3,4,7,2,1]
[6,1,8,2,4,5,7,3]=>[3,7,5,4,2,8,1,6]
[5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5]
[3,2,8,7,1,5,6,4]=>[4,6,5,1,7,8,2,3]
[4,8,2,7,1,5,6,3]=>[3,6,5,1,7,2,8,4]
[5,8,7,2,1,4,6,3]=>[3,6,4,1,2,7,8,5]
[6,8,7,1,3,4,5,2]=>[2,5,4,3,1,7,8,6]
[7,8,6,1,3,4,5,2]=>[2,5,4,3,1,6,8,7]
[1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1]
[8,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,8]
[7,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,7]
[6,5,8,2,3,1,7,4]=>[4,7,1,3,2,8,5,6]
[1,6,8,3,2,5,7,4]=>[4,7,5,2,3,8,6,1]
[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]
[8,4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4,8]
[7,4,2,8,1,5,6,3]=>[3,6,5,1,8,2,4,7]
[6,4,2,8,3,1,7,5]=>[5,7,1,3,8,2,4,6]
[5,4,2,3,8,1,7,6]=>[6,7,1,8,3,2,4,5]
[4,5,2,3,1,6,8,7]=>[7,8,6,1,3,2,5,4]
[7,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,7]
[8,4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4,8]
[1,5,3,2,4,7,8,6]=>[6,8,7,4,2,3,5,1]
[8,5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5,8]
[5,6,1,3,4,2,8,7]=>[7,8,2,4,3,1,6,5]
[4,6,2,1,5,3,8,7]=>[7,8,3,5,1,2,6,4]
[4,7,2,1,3,6,8,5]=>[5,8,6,3,1,2,7,4]
[5,7,1,3,2,6,8,4]=>[4,8,6,2,3,1,7,5]
[6,7,1,2,4,5,8,3]=>[3,8,5,4,2,1,7,6]
[8,6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6,8]
[1,8,2,3,5,6,7,4]=>[4,7,6,5,3,2,8,1]
[8,7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7,8]
[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]
[5,8,1,3,2,6,7,4]=>[4,7,6,2,3,1,8,5]
[4,8,2,1,3,6,7,5]=>[5,7,6,3,1,2,8,4]
[4,1,3,2,5,7,8,6]=>[6,8,7,5,2,3,1,4]
[5,1,2,4,3,7,8,6]=>[6,8,7,3,4,2,1,5]
[5,4,8,1,2,3,7,6]=>[6,7,3,2,1,8,4,5]
[1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]
[4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]
[4,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,4]
[1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]
[4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]
[4,1,8,3,7,2,5,6]=>[6,5,2,7,3,8,1,4]
[4,1,8,7,3,2,5,6]=>[6,5,2,3,7,8,1,4]
[4,7,8,1,2,5,3,6]=>[6,3,5,2,1,8,7,4]
[3,4,7,6,2,1,8,5]=>[5,8,1,2,6,7,4,3]
[3,4,2,7,1,6,8,5]=>[5,8,6,1,7,2,4,3]
[2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]
[2,6,3,4,7,8,1,5]=>[5,1,8,7,4,3,6,2]
[2,6,7,8,3,4,1,5]=>[5,1,4,3,8,7,6,2]
[3,1,7,8,4,2,5,6]=>[6,5,2,4,8,7,1,3]
[4,1,3,2,8,7,5,6]=>[6,5,7,8,2,3,1,4]
[3,7,8,2,6,4,1,5]=>[5,1,4,6,2,8,7,3]
[4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]
[4,3,1,8,2,5,7,6]=>[6,7,5,2,8,1,3,4]
[1,3,6,7,4,2,5,8]=>[8,5,2,4,7,6,3,1]
[3,2,7,8,4,1,6,5]=>[5,6,1,4,8,7,2,3]
[4,2,8,6,3,1,7,5]=>[5,7,1,3,6,8,2,4]
[3,7,2,4,8,6,1,5]=>[5,1,6,8,4,2,7,3]
[3,2,7,4,8,1,6,5]=>[5,6,1,8,4,7,2,3]
[1,3,6,4,7,2,5,8]=>[8,5,2,7,4,6,3,1]
[3,2,4,7,1,8,6,5]=>[5,6,8,1,7,4,2,3]
[3,7,4,2,6,8,1,5]=>[5,1,8,6,2,4,7,3]
[3,7,4,6,2,8,1,5]=>[5,1,8,2,6,4,7,3]
[4,7,1,5,8,2,3,6]=>[6,3,2,8,5,1,7,4]
[3,7,6,4,8,2,1,5]=>[5,1,2,8,4,6,7,3]
[3,1,7,4,8,2,5,6]=>[6,5,2,8,4,7,1,3]
[2,6,7,3,8,4,1,5]=>[5,1,4,8,3,7,6,2]
[2,3,6,4,7,1,8,5]=>[5,8,1,7,4,6,3,2]
[8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]
[8,6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6,8]
[7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]
[3,4,6,7,8,5,1,2]=>[2,1,5,8,7,6,4,3]
[1,2,6,4,7,5,8,3]=>[3,8,5,7,4,6,2,1]
[3,1,7,5,4,2,6,8]=>[8,6,2,4,5,7,1,3]
[6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]
[1,6,2,5,4,7,8,3]=>[3,8,7,4,5,2,6,1]
[1,8,2,5,6,3,7,4]=>[4,7,3,6,5,2,8,1]
[1,2,6,4,8,5,7,3]=>[3,7,5,8,4,6,2,1]
[7,8,3,1,4,2,5,6]=>[6,5,2,4,1,3,8,7]
[4,8,1,5,2,3,6,7]=>[7,6,3,2,5,1,8,4]
[7,4,1,5,2,3,6,8]=>[8,6,3,2,5,1,4,7]
[5,6,1,8,4,3,2,7]=>[7,2,3,4,8,1,6,5]
[5,1,8,6,4,3,2,7]=>[7,2,3,4,6,8,1,5]
[5,1,6,3,8,7,2,4]=>[4,2,7,8,3,6,1,5]
[6,1,2,5,8,3,7,4]=>[4,7,3,8,5,2,1,6]
[6,1,8,7,4,3,2,5]=>[5,2,3,4,7,8,1,6]
[7,1,2,5,4,8,6,3]=>[3,6,8,4,5,2,1,7]
[1,2,7,5,8,3,6,4]=>[4,6,3,8,5,7,2,1]
[4,1,6,3,7,5,2,8]=>[8,2,5,7,3,6,1,4]
[1,3,6,7,8,5,2,4]=>[4,2,5,8,7,6,3,1]
[1,2,6,4,7,8,5,3]=>[3,5,8,7,4,6,2,1]
[4,1,6,3,7,8,2,5]=>[5,2,8,7,3,6,1,4]
[3,1,6,4,8,2,7,5]=>[5,7,2,8,4,6,1,3]
[7,8,4,1,6,3,2,5]=>[5,2,3,6,1,4,8,7]
[4,1,6,3,8,7,2,5]=>[5,2,7,8,3,6,1,4]
[7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]
[6,5,1,7,4,3,2,8]=>[8,2,3,4,7,1,5,6]
[4,1,8,5,2,3,7,6]=>[6,7,3,2,5,8,1,4]
[4,1,6,8,3,7,2,5]=>[5,2,7,3,8,6,1,4]
[5,4,6,1,3,8,2,7]=>[7,2,8,3,1,6,4,5]
[6,5,8,1,4,3,2,7]=>[7,2,3,4,1,8,5,6]
[1,3,5,7,6,8,2,4]=>[4,2,8,6,7,5,3,1]
[1,3,5,7,6,2,8,4]=>[4,8,2,6,7,5,3,1]
[1,3,5,7,2,6,8,4]=>[4,8,6,2,7,5,3,1]
[1,3,5,2,7,6,4,8]=>[8,4,6,7,2,5,3,1]
[1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]
[1,3,5,7,4,6,8,2]=>[2,8,6,4,7,5,3,1]
[1,3,5,7,4,6,2,8]=>[8,2,6,4,7,5,3,1]
[1,3,5,7,4,2,6,8]=>[8,6,2,4,7,5,3,1]
[1,3,5,4,7,2,6,8]=>[8,6,2,7,4,5,3,1]
[1,3,5,4,7,8,2,6]=>[6,2,8,7,4,5,3,1]
[1,3,5,4,7,2,8,6]=>[6,8,2,7,4,5,3,1]
[1,3,5,7,4,2,8,6]=>[6,8,2,4,7,5,3,1]
[1,3,5,7,4,8,2,6]=>[6,2,8,4,7,5,3,1]
[1,3,5,7,4,8,6,2]=>[2,6,8,4,7,5,3,1]
[1,3,5,7,8,4,6,2]=>[2,6,4,8,7,5,3,1]
[1,3,5,7,8,4,2,6]=>[6,2,4,8,7,5,3,1]
[1,3,5,2,7,8,6,4]=>[4,6,8,7,2,5,3,1]
[1,3,5,7,2,8,6,4]=>[4,6,8,2,7,5,3,1]
[1,3,5,7,8,2,6,4]=>[4,6,2,8,7,5,3,1]
[1,6,3,2,7,4,8,5]=>[5,8,4,7,2,3,6,1]
[3,5,1,6,2,8,7,4]=>[4,7,8,2,6,1,5,3]
[1,3,7,2,5,4,8,6]=>[6,8,4,5,2,7,3,1]
[2,6,1,7,4,3,8,5]=>[5,8,3,4,7,1,6,2]
[1,4,7,3,5,2,8,6]=>[6,8,2,5,3,7,4,1]
[1,3,7,5,2,4,8,6]=>[6,8,4,2,5,7,3,1]
[2,5,7,4,3,8,1,6]=>[6,1,8,3,4,7,5,2]
[2,5,3,7,4,8,1,6]=>[6,1,8,4,7,3,5,2]
[1,4,7,2,3,8,6,5]=>[5,6,8,3,2,7,4,1]
[2,4,7,3,1,8,6,5]=>[5,6,8,1,3,7,4,2]
[1,4,6,3,8,2,7,5]=>[5,7,2,8,3,6,4,1]
[1,3,5,2,8,7,6,4]=>[4,6,7,8,2,5,3,1]
[1,4,7,3,8,2,6,5]=>[5,6,2,8,3,7,4,1]
[2,5,1,7,8,4,6,3]=>[3,6,4,8,7,1,5,2]
[3,2,6,7,8,1,5,4]=>[4,5,1,8,7,6,2,3]
[4,3,6,7,8,2,1,5]=>[5,1,2,8,7,6,3,4]
[3,5,2,7,8,4,1,6]=>[6,1,4,8,7,2,5,3]
[1,5,7,4,8,3,2,6]=>[6,2,3,8,4,7,5,1]
[2,5,1,6,8,4,7,3]=>[3,7,4,8,6,1,5,2]
[4,6,2,1,7,8,3,5]=>[5,3,8,7,1,2,6,4]
[5,3,6,4,7,8,2,1]=>[1,2,8,7,4,6,3,5]
[3,5,2,6,8,4,7,1]=>[1,7,4,8,6,2,5,3]
[2,5,4,6,8,7,1,3]=>[3,1,7,8,6,4,5,2]
[1,3,6,2,8,7,5,4]=>[4,5,7,8,2,6,3,1]
[1,4,6,3,8,7,2,5]=>[5,2,7,8,3,6,4,1]
[2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]
[1,5,7,2,4,8,6,3]=>[3,6,8,4,2,7,5,1]
[4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]
[4,3,6,7,8,2,5,1]=>[1,5,2,8,7,6,3,4]
[1,4,7,3,8,6,2,5]=>[5,2,6,8,3,7,4,1]
[2,5,4,7,8,6,1,3]=>[3,1,6,8,7,4,5,2]
[3,2,6,7,8,5,1,4]=>[4,1,5,8,7,6,2,3]
[1,3,7,2,8,6,5,4]=>[4,5,6,8,2,7,3,1]
[5,1,6,8,2,4,3,7]=>[7,3,4,2,8,6,1,5]
[5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]
[8,5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5,8]
[8,2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2,8]
[2,4,7,8,3,1,5,6]=>[6,5,1,3,8,7,4,2]
[6,3,1,5,8,2,4,7]=>[7,4,2,8,5,1,3,6]
[6,5,3,4,2,8,1,7]=>[7,1,8,2,4,3,5,6]
[5,2,4,3,8,1,6,7]=>[7,6,1,8,3,4,2,5]
[3,2,4,8,1,5,6,7]=>[7,6,5,1,8,4,2,3]
[3,2,4,6,8,1,5,7]=>[7,5,1,8,6,4,2,3]
[8,1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1,8]
[8,4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4,8]
[4,6,7,8,2,3,1,5]=>[5,1,3,2,8,7,6,4]
[7,4,6,8,2,3,1,5]=>[5,1,3,2,8,6,4,7]
[7,2,4,8,3,1,5,6]=>[6,5,1,3,8,4,2,7]
[5,3,8,7,2,4,1,6]=>[6,1,4,2,7,8,3,5]
[2,4,8,7,3,1,5,6]=>[6,5,1,3,7,8,4,2]
[4,6,8,7,2,3,1,5]=>[5,1,3,2,7,8,6,4]
[8,7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7,8]
[5,6,8,7,2,3,1,4]=>[4,1,3,2,7,8,6,5]
[6,4,8,7,2,3,1,5]=>[5,1,3,2,7,8,4,6]
[3,1,7,4,2,8,6,5]=>[5,6,8,2,4,7,1,3]
[3,2,8,4,1,7,6,5]=>[5,6,7,1,4,8,2,3]
[7,6,4,8,2,3,1,5]=>[5,1,3,2,8,4,6,7]
[5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]
[4,7,6,8,2,3,1,5]=>[5,1,3,2,8,6,7,4]
[8,6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6,8]
[8,2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2,8]
[2,3,7,8,4,1,6,5]=>[5,6,1,4,8,7,3,2]
[3,7,4,8,2,5,1,6]=>[6,1,5,2,8,4,7,3]
[2,3,7,4,1,6,8,5]=>[5,8,6,1,4,7,3,2]
[8,1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1,8]
[4,7,8,6,2,3,1,5]=>[5,1,3,2,6,8,7,4]
[2,4,7,3,1,5,8,6]=>[6,8,5,1,3,7,4,2]
[6,3,1,7,4,2,8,5]=>[5,8,2,4,7,1,3,6]
[8,5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5,8]
[7,5,8,6,2,3,1,4]=>[4,1,3,2,6,8,5,7]
[7,1,6,4,2,3,8,5]=>[5,8,3,2,4,6,1,7]
[3,1,7,6,4,2,8,5]=>[5,8,2,4,6,7,1,3]
[4,8,7,6,2,3,1,5]=>[5,1,3,2,6,7,8,4]
[6,8,7,5,2,3,1,4]=>[4,1,3,2,5,7,8,6]
[4,3,6,1,5,8,7,2]=>[2,7,8,5,1,6,3,4]
[4,3,6,5,1,8,7,2]=>[2,7,8,1,5,6,3,4]
[4,6,3,5,1,8,7,2]=>[2,7,8,1,5,3,6,4]
[4,6,3,1,5,8,7,2]=>[2,7,8,5,1,3,6,4]
[4,1,6,5,3,8,7,2]=>[2,7,8,3,5,6,1,4]
[4,6,1,5,3,8,7,2]=>[2,7,8,3,5,1,6,4]
[2,6,5,3,1,8,7,4]=>[4,7,8,1,3,5,6,2]
[2,6,5,1,8,7,3,4]=>[4,3,7,8,1,5,6,2]
[2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]
[2,6,5,8,1,3,7,4]=>[4,7,3,1,8,5,6,2]
[2,6,5,8,3,1,7,4]=>[4,7,1,3,8,5,6,2]
[2,6,5,3,8,1,7,4]=>[4,7,1,8,3,5,6,2]
[4,6,1,5,8,3,7,2]=>[2,7,3,8,5,1,6,4]
[4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]
[1,4,6,5,8,3,7,2]=>[2,7,3,8,5,6,4,1]
[4,1,6,5,8,7,3,2]=>[2,3,7,8,5,6,1,4]
[2,6,5,3,8,7,1,4]=>[4,1,7,8,3,5,6,2]
[6,4,3,8,7,1,5,2]=>[2,5,1,7,8,3,4,6]
[6,4,8,3,7,1,5,2]=>[2,5,1,7,3,8,4,6]
[2,6,8,5,3,7,1,4]=>[4,1,7,3,5,8,6,2]
[4,6,8,1,5,7,3,2]=>[2,3,7,5,1,8,6,4]
[4,6,1,8,5,7,3,2]=>[2,3,7,5,8,1,6,4]
[4,1,6,8,5,7,3,2]=>[2,3,7,5,8,6,1,4]
[1,4,6,8,5,7,3,2]=>[2,3,7,5,8,6,4,1]
[1,4,6,8,5,3,7,2]=>[2,7,3,5,8,6,4,1]
[4,6,1,8,5,3,7,2]=>[2,7,3,5,8,1,6,4]
[2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]
[2,6,8,5,1,7,3,4]=>[4,3,7,1,5,8,6,2]
[4,6,8,3,5,1,7,2]=>[2,7,1,5,3,8,6,4]
[4,6,8,3,1,5,7,2]=>[2,7,5,1,3,8,6,4]
[4,6,3,1,8,5,7,2]=>[2,7,5,8,1,3,6,4]
[4,6,3,8,1,5,7,2]=>[2,7,5,1,8,3,6,4]
[4,6,3,8,5,7,1,2]=>[2,1,7,5,8,3,6,4]
[4,3,6,8,1,5,7,2]=>[2,7,5,1,8,6,3,4]
[4,3,6,1,8,5,7,2]=>[2,7,5,8,1,6,3,4]
[4,3,1,6,8,5,7,2]=>[2,7,5,8,6,1,3,4]
[4,1,3,6,8,7,5,2]=>[2,5,7,8,6,3,1,4]
[4,3,6,1,8,7,5,2]=>[2,5,7,8,1,6,3,4]
[4,3,6,8,1,7,5,2]=>[2,5,7,1,8,6,3,4]
[6,5,2,8,7,3,1,4]=>[4,1,3,7,8,2,5,6]
[6,5,2,8,7,1,3,4]=>[4,3,1,7,8,2,5,6]
[6,2,5,8,7,1,3,4]=>[4,3,1,7,8,5,2,6]
[6,2,5,8,7,3,1,4]=>[4,1,3,7,8,5,2,6]
[4,6,3,8,1,7,5,2]=>[2,5,7,1,8,3,6,4]
[4,6,3,1,8,7,5,2]=>[2,5,7,8,1,3,6,4]
[4,1,6,3,8,7,5,2]=>[2,5,7,8,3,6,1,4]
[1,4,6,3,8,7,5,2]=>[2,5,7,8,3,6,4,1]
[4,1,6,8,3,7,5,2]=>[2,5,7,3,8,6,1,4]
[4,6,1,8,3,7,5,2]=>[2,5,7,3,8,1,6,4]
[4,6,8,1,3,7,5,2]=>[2,5,7,3,1,8,6,4]
[6,2,8,5,7,3,1,4]=>[4,1,3,7,5,8,2,6]
[6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]
[2,4,8,7,1,5,3,6]=>[6,3,5,1,7,8,4,2]
[4,2,8,7,5,3,1,6]=>[6,1,3,5,7,8,2,4]
[6,4,1,8,7,5,3,2]=>[2,3,5,7,8,1,4,6]
[6,1,4,8,7,5,3,2]=>[2,3,5,7,8,4,1,6]
[1,6,4,8,7,3,5,2]=>[2,5,3,7,8,4,6,1]
[6,4,1,8,7,3,5,2]=>[2,5,3,7,8,1,4,6]
[4,2,8,7,5,1,3,6]=>[6,3,1,5,7,8,2,4]
[2,4,8,7,3,5,1,6]=>[6,1,5,3,7,8,4,2]
[2,3,4,7,1,8,6,5]=>[5,6,8,1,7,4,3,2]
[2,3,4,7,8,5,6,1]=>[1,6,5,8,7,4,3,2]
[2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]
[2,5,6,3,7,8,1,4]=>[4,1,8,7,3,6,5,2]
[2,3,7,1,4,8,6,5]=>[5,6,8,4,1,7,3,2]
[2,6,1,3,7,8,5,4]=>[4,5,8,7,3,1,6,2]
[2,5,6,7,4,8,1,3]=>[3,1,8,4,7,6,5,2]
[2,3,7,8,4,5,6,1]=>[1,6,5,4,8,7,3,2]
[2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]
[1,5,3,2,6,4,7,8]=>[8,7,4,6,2,3,5,1]
[1,5,3,2,6,7,4,8]=>[8,4,7,6,2,3,5,1]
[1,7,3,2,8,5,4,6]=>[6,4,5,8,2,3,7,1]
[1,7,3,2,5,8,4,6]=>[6,4,8,5,2,3,7,1]
[1,3,2,7,5,4,8,6]=>[6,8,4,5,7,2,3,1]
[6,5,2,4,3,7,1,8]=>[8,1,7,3,4,2,5,6]
[6,4,2,5,3,7,1,8]=>[8,1,7,3,5,2,4,6]
[5,4,7,6,2,3,1,8]=>[8,1,3,2,6,7,4,5]
[3,6,4,8,2,1,5,7]=>[7,5,1,2,8,4,6,3]
[1,6,2,8,5,3,4,7]=>[7,4,3,5,8,2,6,1]
[4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]
[4,7,2,3,6,5,1,8]=>[8,1,5,6,3,2,7,4]
[4,7,2,3,5,6,1,8]=>[8,1,6,5,3,2,7,4]
[5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]
[5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]
[4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]
[3,5,2,1,6,8,4,7]=>[7,4,8,6,1,2,5,3]
[1,5,2,6,8,4,3,7]=>[7,3,4,8,6,2,5,1]
[1,5,7,2,8,4,3,6]=>[6,3,4,8,2,7,5,1]
[3,5,2,1,8,6,4,7]=>[7,4,6,8,1,2,5,3]
[3,6,8,4,2,1,5,7]=>[7,5,1,2,4,8,6,3]
[4,3,2,6,1,8,5,7]=>[7,5,8,1,6,2,3,4]
[1,5,8,2,7,4,3,6]=>[6,3,4,7,2,8,5,1]
[1,7,2,3,4,8,6,5]=>[5,6,8,4,3,2,7,1]
[6,8,2,3,4,1,7,5]=>[5,7,1,4,3,2,8,6]
[4,1,8,2,3,5,7,6]=>[6,7,5,3,2,8,1,4]
[2,3,1,8,4,5,7,6]=>[6,7,5,4,8,1,3,2]
[7,3,2,1,4,5,8,6]=>[6,8,5,4,1,2,3,7]
[7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]
[7,1,2,3,4,6,8,5]=>[5,8,6,4,3,2,1,7]
[6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]
[1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1]
[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]
[2,8,1,3,5,4,7,6]=>[6,7,4,5,3,1,8,2]
[8,7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7,8]
[8,3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3,8]
[3,8,2,1,5,6,4,7]=>[7,4,6,5,1,2,8,3]
[3,8,2,1,6,5,4,7]=>[7,4,5,6,1,2,8,3]
[1,7,8,3,5,4,2,6]=>[6,2,4,5,3,8,7,1]
[7,4,1,8,3,5,2,6]=>[6,2,5,3,8,1,4,7]
[8,4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4,8]
[3,8,4,6,2,1,5,7]=>[7,5,1,2,6,4,8,3]
[8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]
[8,5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5,8]
[8,3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3,8]
[4,3,2,5,1,8,6,7]=>[7,6,8,1,5,2,3,4]
[3,5,2,4,1,8,6,7]=>[7,6,8,1,4,2,5,3]
[2,4,7,8,1,5,3,6]=>[6,3,5,1,8,7,4,2]
[1,8,7,3,5,4,2,6]=>[6,2,4,5,3,7,8,1]
[5,1,8,2,7,4,3,6]=>[6,3,4,7,2,8,1,5]
[5,1,7,2,8,4,3,6]=>[6,3,4,8,2,7,1,5]
[6,1,2,8,5,3,4,7]=>[7,4,3,5,8,2,1,6]
[6,3,2,1,8,4,5,7]=>[7,5,4,8,1,2,3,6]
[7,3,2,8,4,5,1,6]=>[6,1,5,4,8,2,3,7]
[2,7,8,4,3,5,1,6]=>[6,1,5,3,4,8,7,2]
[7,1,8,3,5,4,2,6]=>[6,2,4,5,3,8,1,7]
[7,8,2,3,4,6,1,5]=>[5,1,6,4,3,2,8,7]
[6,7,1,3,4,8,2,5]=>[5,2,8,4,3,1,7,6]
[6,8,1,3,4,7,2,5]=>[5,2,7,4,3,1,8,6]
[1,7,2,3,4,6,8,5]=>[5,8,6,4,3,2,7,1]
[1,6,2,3,4,8,7,5]=>[5,7,8,4,3,2,6,1]
[7,6,2,3,4,1,8,5]=>[5,8,1,4,3,2,6,7]
[8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]
[8,1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1,8]
[8,3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3,8]
[6,7,2,3,4,1,8,5]=>[5,8,1,4,3,2,7,6]
[7,6,2,3,4,8,1,5]=>[5,1,8,4,3,2,6,7]
[8,6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6,8]
[6,3,4,8,7,5,1,2]=>[2,1,5,7,8,4,3,6]
[4,8,7,3,5,6,1,2]=>[2,1,6,5,3,7,8,4]
[4,8,7,5,3,6,1,2]=>[2,1,6,3,5,7,8,4]
[5,8,7,3,4,6,1,2]=>[2,1,6,4,3,7,8,5]
[5,8,4,2,1,6,7,3]=>[3,7,6,1,2,4,8,5]
[5,8,4,1,2,6,7,3]=>[3,7,6,2,1,4,8,5]
[5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]
[5,2,8,1,6,3,7,4]=>[4,7,3,6,1,8,2,5]
[5,8,2,1,4,7,6,3]=>[3,6,7,4,1,2,8,5]
[4,8,2,5,1,7,6,3]=>[3,6,7,1,5,2,8,4]
[7,8,4,1,2,6,5,3]=>[3,5,6,2,1,4,8,7]
[4,8,1,5,2,7,6,3]=>[3,6,7,2,5,1,8,4]
[5,8,1,2,4,7,6,3]=>[3,6,7,4,2,1,8,5]
[5,2,8,3,6,7,1,4]=>[4,1,7,6,3,8,2,5]
[3,8,7,6,2,4,1,5]=>[5,1,4,2,6,7,8,3]
[2,8,7,6,4,1,3,5]=>[5,3,1,4,6,7,8,2]
[7,8,2,6,5,1,3,4]=>[4,3,1,5,6,2,8,7]
[1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]
[2,8,7,6,3,1,4,5]=>[5,4,1,3,6,7,8,2]
[1,8,7,6,2,4,3,5]=>[5,3,4,2,6,7,8,1]
[1,8,7,6,3,4,2,5]=>[5,2,4,3,6,7,8,1]
[2,8,1,4,5,6,7,3]=>[3,7,6,5,4,1,8,2]
[2,1,7,3,6,5,8,4]=>[4,8,5,6,3,7,1,2]
[3,1,7,2,6,5,8,4]=>[4,8,5,6,2,7,1,3]
[3,2,7,1,6,5,8,4]=>[4,8,5,6,1,7,2,3]
[6,1,2,8,5,7,3,4]=>[4,3,7,5,8,2,1,6]
[6,2,1,8,5,7,3,4]=>[4,3,7,5,8,1,2,6]
[6,3,1,8,5,7,2,4]=>[4,2,7,5,8,1,3,6]
[6,4,2,1,7,5,8,3]=>[3,8,5,7,1,2,4,6]
[6,1,3,8,5,2,7,4]=>[4,7,2,5,8,3,1,6]
[2,3,7,1,6,8,5,4]=>[4,5,8,6,1,7,3,2]
[1,3,7,2,6,8,5,4]=>[4,5,8,6,2,7,3,1]
[7,8,2,6,5,3,1,4]=>[4,1,3,5,6,2,8,7]
[3,2,6,7,5,8,1,4]=>[4,1,8,5,7,6,2,3]
[1,2,7,5,6,3,8,4]=>[4,8,3,6,5,7,2,1]
[2,8,7,6,4,3,1,5]=>[5,1,3,4,6,7,8,2]
[3,8,7,6,1,2,5,4]=>[4,5,2,1,6,7,8,3]
[3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]
[4,8,7,6,2,1,3,5]=>[5,3,1,2,6,7,8,4]
[4,8,7,6,1,3,2,5]=>[5,2,3,1,6,7,8,4]
[3,8,7,6,4,1,2,5]=>[5,2,1,4,6,7,8,3]
[7,8,3,6,5,1,2,4]=>[4,2,1,5,6,3,8,7]
[2,3,7,5,6,8,1,4]=>[4,1,8,6,5,7,3,2]
[3,8,7,6,4,2,1,5]=>[5,1,2,4,6,7,8,3]
[5,1,4,6,8,2,3,7]=>[7,3,2,8,6,4,1,5]
[1,7,6,3,5,4,8,2]=>[2,8,4,5,3,6,7,1]
[4,3,7,2,6,5,1,8]=>[8,1,5,6,2,7,3,4]
[3,4,6,1,5,7,2,8]=>[8,2,7,5,1,6,4,3]
[1,6,8,5,7,3,4,2]=>[2,4,3,7,5,8,6,1]
[2,4,1,5,8,6,3,7]=>[7,3,6,8,5,1,4,2]
[4,6,1,2,5,8,3,7]=>[7,3,8,5,2,1,6,4]
[5,6,7,2,1,4,8,3]=>[3,8,4,1,2,7,6,5]
[7,8,6,5,1,2,4,3]=>[3,4,2,1,5,6,8,7]
[1,3,6,5,7,8,2,4]=>[4,2,8,7,5,6,3,1]
[7,4,8,5,3,1,6,2]=>[2,6,1,3,5,8,4,7]
[6,8,5,2,4,1,7,3]=>[3,7,1,4,2,5,8,6]
[2,3,1,6,8,5,7,4]=>[4,7,5,8,6,1,3,2]
[7,3,2,5,1,4,8,6]=>[6,8,4,1,5,2,3,7]
[7,1,4,2,3,6,8,5]=>[5,8,6,3,2,4,1,7]
[1,5,8,3,4,6,7,2]=>[2,7,6,4,3,8,5,1]
[8,3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3,8]
[2,3,8,1,6,5,4,7]=>[7,4,5,6,1,8,3,2]
[8,1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1,8]
[3,5,2,4,1,7,8,6]=>[6,8,7,1,4,2,5,3]
[3,4,7,8,6,2,1,5]=>[5,1,2,6,8,7,4,3]
[3,4,8,6,2,7,1,5]=>[5,1,7,2,6,8,4,3]
[5,8,2,1,6,7,3,4]=>[4,3,7,6,1,2,8,5]
[5,7,2,8,6,4,3,1]=>[1,3,4,6,8,2,7,5]
[6,1,2,7,5,3,8,4]=>[4,8,3,5,7,2,1,6]
[7,3,2,8,6,4,1,5]=>[5,1,4,6,8,2,3,7]
[2,7,8,4,6,3,1,5]=>[5,1,3,6,4,8,7,2]
[1,4,5,7,2,6,8,3]=>[3,8,6,2,7,5,4,1]
[7,3,5,2,6,1,8,4]=>[4,8,1,6,2,5,3,7]
[8,5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5,8]
[8,1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1,8]
[2,8,6,4,3,7,1,5]=>[5,1,7,3,4,6,8,2]
[8,3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3,8]
[2,3,8,7,6,5,1,4]=>[4,1,5,6,7,8,3,2]
[1,2,8,7,3,6,5,4]=>[4,5,6,3,7,8,2,1]
[4,2,8,7,3,6,1,5]=>[5,1,6,3,7,8,2,4]
[4,5,8,7,1,2,6,3]=>[3,6,2,1,7,8,5,4]
[1,5,8,7,3,2,6,4]=>[4,6,2,3,7,8,5,1]
[4,5,8,7,3,2,1,6]=>[6,1,2,3,7,8,5,4]
[2,6,8,1,7,5,4,3]=>[3,4,5,7,1,8,6,2]
[3,6,8,4,7,2,1,5]=>[5,1,2,7,4,8,6,3]
[2,5,8,3,7,6,1,4]=>[4,1,6,7,3,8,5,2]
[3,2,8,4,7,6,1,5]=>[5,1,6,7,4,8,2,3]
[1,5,8,3,7,2,6,4]=>[4,6,2,7,3,8,5,1]
[3,5,8,4,7,2,1,6]=>[6,1,2,7,4,8,5,3]
[5,6,8,2,3,7,1,4]=>[4,1,7,3,2,8,6,5]
[1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]
[1,5,8,4,2,7,6,3]=>[3,6,7,2,4,8,5,1]
[1,5,8,2,3,7,6,4]=>[4,6,7,3,2,8,5,1]
[2,1,8,4,3,7,6,5]=>[5,6,7,3,4,8,1,2]
[2,5,8,4,3,7,1,6]=>[6,1,7,3,4,8,5,2]
[5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]
[5,6,8,1,3,2,7,4]=>[4,7,2,3,1,8,6,5]
[1,6,8,4,3,2,7,5]=>[5,7,2,3,4,8,6,1]
[5,6,8,4,3,2,1,7]=>[7,1,2,3,4,8,6,5]
[7,1,2,8,6,5,4,3]=>[3,4,5,6,8,2,1,7]
[7,1,4,8,6,2,5,3]=>[3,5,2,6,8,4,1,7]
[7,3,1,8,6,2,5,4]=>[4,5,2,6,8,1,3,7]
[7,2,4,8,3,6,1,5]=>[5,1,6,3,8,4,2,7]
[7,1,4,8,3,2,6,5]=>[5,6,2,3,8,4,1,7]
[7,4,5,8,3,2,1,6]=>[6,1,2,3,8,5,4,7]
[1,6,2,8,7,5,4,3]=>[3,4,5,7,8,2,6,1]
[1,6,4,8,7,2,5,3]=>[3,5,2,7,8,4,6,1]
[3,6,4,8,7,2,1,5]=>[5,1,2,7,8,4,6,3]
[3,2,5,8,7,6,1,4]=>[4,1,6,7,8,5,2,3]
[3,2,4,8,7,6,1,5]=>[5,1,6,7,8,4,2,3]
[3,1,5,8,7,2,6,4]=>[4,6,2,7,8,5,1,3]
[3,1,4,8,7,2,6,5]=>[5,6,2,7,8,4,1,3]
[1,6,4,8,2,7,5,3]=>[3,5,7,2,8,4,6,1]
[1,4,5,8,2,7,6,3]=>[3,6,7,2,8,5,4,1]
[2,4,5,8,3,7,1,6]=>[6,1,7,3,8,5,4,2]
[4,6,5,8,1,2,7,3]=>[3,7,2,1,8,5,6,4]
[1,6,4,8,3,2,7,5]=>[5,7,2,3,8,4,6,1]
[1,4,5,8,3,2,7,6]=>[6,7,2,3,8,5,4,1]
[7,6,1,4,8,2,5,3]=>[3,5,2,8,4,1,6,7]
[7,6,1,3,8,2,5,4]=>[4,5,2,8,3,1,6,7]
[7,6,3,4,8,2,1,5]=>[5,1,2,8,4,3,6,7]
[7,2,5,1,8,6,4,3]=>[3,4,6,8,1,5,2,7]
[7,2,5,3,8,6,1,4]=>[4,1,6,8,3,5,2,7]
[7,2,1,4,8,6,5,3]=>[3,5,6,8,4,1,2,7]
[7,2,1,3,8,6,5,4]=>[4,5,6,8,3,1,2,7]
[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]
[7,3,5,4,8,2,1,6]=>[6,1,2,8,4,5,3,7]
[2,6,5,1,8,7,4,3]=>[3,4,7,8,1,5,6,2]
[2,3,5,4,8,7,1,6]=>[6,1,7,8,4,5,3,2]
[1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]
[1,6,5,3,8,2,7,4]=>[4,7,2,8,3,5,6,1]
[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]
[1,3,5,4,8,2,7,6]=>[6,7,2,8,4,5,3,1]
[3,6,5,4,8,2,1,7]=>[7,1,2,8,4,5,6,3]
[7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]
[7,6,1,4,2,8,5,3]=>[3,5,8,2,4,1,6,7]
[7,6,1,2,3,8,5,4]=>[4,5,8,3,2,1,6,7]
[7,6,2,4,3,8,1,5]=>[5,1,8,3,4,2,6,7]
[7,1,5,4,2,8,6,3]=>[3,6,8,2,4,5,1,7]
[7,1,5,2,3,8,6,4]=>[4,6,8,3,2,5,1,7]
[7,1,2,4,3,8,6,5]=>[5,6,8,3,4,2,1,7]
[2,6,5,4,3,8,1,7]=>[7,1,8,3,4,5,6,2]
[7,6,1,4,3,2,8,5]=>[5,8,2,3,4,1,6,7]
[7,1,5,4,3,2,8,6]=>[6,8,2,3,4,5,1,7]
[3,4,2,6,7,8,1,5]=>[5,1,8,7,6,2,4,3]
[3,1,4,2,6,8,7,5]=>[5,7,8,6,2,4,1,3]
[8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]
[2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]
[2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]
[2,6,8,3,5,4,1,7]=>[7,1,4,5,3,8,6,2]
[4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]
[4,8,1,2,7,5,3,6]=>[6,3,5,7,2,1,8,4]
[2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]
[2,7,1,3,6,8,4,5]=>[5,4,8,6,3,1,7,2]
[6,7,3,2,8,1,4,5]=>[5,4,1,8,2,3,7,6]
[7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]
[7,4,1,2,8,5,3,6]=>[6,3,5,8,2,1,4,7]
[8,7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7,8]
[7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]
[7,4,3,1,5,6,8,2]=>[2,8,6,5,1,3,4,7]
[6,7,4,1,5,8,3,2]=>[2,3,8,5,1,4,7,6]
[4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]
[4,5,3,1,7,6,8,2]=>[2,8,6,7,1,3,5,4]
[4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]
[2,7,1,3,6,5,4,8]=>[8,4,5,6,3,1,7,2]
[4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]
[4,6,1,2,8,5,3,7]=>[7,3,5,8,2,1,6,4]
[8,4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4,8]
[4,5,3,1,8,6,7,2]=>[2,7,6,8,1,3,5,4]
[4,8,5,6,3,1,7,2]=>[2,7,1,3,6,5,8,4]
[5,1,3,4,8,6,7,2]=>[2,7,6,8,4,3,1,5]
[5,4,3,8,1,6,7,2]=>[2,7,6,1,8,3,4,5]
[8,5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5,8]
[6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]
[6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]
[6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]
[5,7,1,4,6,8,3,2]=>[2,3,8,6,4,1,7,5]
[5,1,3,4,7,6,8,2]=>[2,8,6,7,4,3,1,5]
[6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]
[5,4,3,7,1,6,8,2]=>[2,8,6,1,7,3,4,5]
[6,7,5,4,1,8,3,2]=>[2,3,8,1,4,5,7,6]
[7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]
[8,2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2,8]
[7,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,7]
[8,7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7,8]
[3,2,8,7,6,5,1,4]=>[4,1,5,6,7,8,2,3]
[4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]
[7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]
[7,3,8,6,5,4,2,1]=>[1,2,4,5,6,8,3,7]
[4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]
[3,8,7,4,6,5,2,1]=>[1,2,5,6,4,7,8,3]
[2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]
[8,5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5,8]
[8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]
[7,8,1,5,3,2,4,6]=>[6,4,2,3,5,1,8,7]
[8,1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1,8]
[8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]
[8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]
[8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]
[8,6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6,8]
[8,5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5,8]
[8,5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5,8]
[7,8,2,1,5,4,3,6]=>[6,3,4,5,1,2,8,7]
[7,8,3,1,5,2,4,6]=>[6,4,2,5,1,3,8,7]
[8,2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2,8]
[8,4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4,8]
[8,2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2,8]
[8,2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2,8]
[8,1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1,8]
[8,1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1,8]
[5,7,8,1,3,2,6,4]=>[4,6,2,3,1,8,7,5]
[8,2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2,8]
[5,8,1,6,7,2,3,4]=>[4,3,2,7,6,1,8,5]
[5,7,6,1,8,2,3,4]=>[4,3,2,8,1,6,7,5]
[6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]
[7,5,1,6,8,2,3,4]=>[4,3,2,8,6,1,5,7]
[6,5,7,1,8,2,3,4]=>[4,3,2,8,1,7,5,6]
[6,7,3,8,1,2,4,5]=>[5,4,2,1,8,3,7,6]
[7,5,4,1,8,2,3,6]=>[6,3,2,8,1,4,5,7]
[7,6,1,4,8,2,3,5]=>[5,3,2,8,4,1,6,7]
[8,1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1,8]
[7,5,8,1,3,2,4,6]=>[6,4,2,3,1,8,5,7]
[7,8,4,1,3,2,5,6]=>[6,5,2,3,1,4,8,7]
[8,3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3,8]
[8,5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5,8]
[6,8,1,7,3,2,4,5]=>[5,4,2,3,7,1,8,6]
[7,1,8,4,3,6,2,5]=>[5,2,6,3,4,8,1,7]
[7,3,1,8,6,4,2,5]=>[5,2,4,6,8,1,3,7]
[8,3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3,8]
[8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]
[5,6,8,1,7,2,3,4]=>[4,3,2,7,1,8,6,5]
[6,5,8,1,2,7,3,4]=>[4,3,7,2,1,8,5,6]
[7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]
[6,2,7,8,3,1,5,4]=>[4,5,1,3,8,7,2,6]
[5,8,1,7,3,2,6,4]=>[4,6,2,3,7,1,8,5]
[8,4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4,8]
[8,3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3,8]
[8,2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2,8]
[7,4,8,2,1,3,6,5]=>[5,6,3,1,2,8,4,7]
[7,4,3,8,1,2,6,5]=>[5,6,2,1,8,3,4,7]
[8,2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2,8]
[2,6,8,7,1,5,4,3]=>[3,4,5,1,7,8,6,2]
[7,8,5,2,3,6,4,1]=>[1,4,6,3,2,5,8,7]
[8,7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7,8]
[6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]
[3,5,2,6,8,1,4,7]=>[7,4,1,8,6,2,5,3]
[3,5,2,4,6,8,1,7]=>[7,1,8,6,4,2,5,3]
[2,4,5,7,3,6,8,1]=>[1,8,6,3,7,5,4,2]
[2,4,5,3,6,8,1,7]=>[7,1,8,6,3,5,4,2]
[5,2,4,6,8,1,3,7]=>[7,3,1,8,6,4,2,5]
[5,1,3,4,6,8,2,7]=>[7,2,8,6,4,3,1,5]
[4,3,5,2,6,8,1,7]=>[7,1,8,6,2,5,3,4]
[4,3,5,7,2,8,1,6]=>[6,1,8,2,7,5,3,4]
[4,3,5,7,2,6,8,1]=>[1,8,6,2,7,5,3,4]
[4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]
[4,6,3,1,7,8,2,5]=>[5,2,8,7,1,3,6,4]
[4,3,5,1,7,8,2,6]=>[6,2,8,7,1,5,3,4]
[5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]
[5,7,1,3,4,6,8,2]=>[2,8,6,4,3,1,7,5]
[4,5,7,1,3,6,8,2]=>[2,8,6,3,1,7,5,4]
[4,3,6,7,1,5,8,2]=>[2,8,5,1,7,6,3,4]
[4,6,3,5,1,7,8,2]=>[2,8,7,1,5,3,6,4]
[4,6,3,5,7,2,8,1]=>[1,8,2,7,5,3,6,4]
[3,5,6,4,1,7,8,2]=>[2,8,7,1,4,6,5,3]
[3,1,5,6,7,4,8,2]=>[2,8,4,7,6,5,1,3]
[5,1,6,7,3,4,8,2]=>[2,8,4,3,7,6,1,5]
[6,4,7,1,3,5,8,2]=>[2,8,5,3,1,7,4,6]
[1,6,7,3,4,5,8,2]=>[2,8,5,4,3,7,6,1]
[2,6,7,4,5,8,1,3]=>[3,1,8,5,4,7,6,2]
[2,6,7,4,8,1,3,5]=>[5,3,1,8,4,7,6,2]
[5,3,6,1,2,7,8,4]=>[4,8,7,2,1,6,3,5]
[3,5,2,6,1,7,8,4]=>[4,8,7,1,6,2,5,3]
[3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]
[5,2,3,6,7,4,8,1]=>[1,8,4,7,6,3,2,5]
[5,2,3,6,1,7,8,4]=>[4,8,7,1,6,3,2,5]
[5,2,6,1,3,7,8,4]=>[4,8,7,3,1,6,2,5]
[4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]
[6,3,7,2,4,5,8,1]=>[1,8,5,4,2,7,3,6]
[3,5,7,2,8,1,4,6]=>[6,4,1,8,2,7,5,3]
[3,7,2,4,8,1,5,6]=>[6,5,1,8,4,2,7,3]
[7,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,7]
[7,1,3,4,6,8,2,5]=>[5,2,8,6,4,3,1,7]
[3,7,2,4,6,8,1,5]=>[5,1,8,6,4,2,7,3]
[3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]
[6,3,7,2,5,8,1,4]=>[4,1,8,5,2,7,3,6]
[6,3,5,7,2,8,1,4]=>[4,1,8,2,7,5,3,6]
[6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]
[6,2,4,5,7,3,8,1]=>[1,8,3,7,5,4,2,6]
[6,2,4,5,1,7,8,3]=>[3,8,7,1,5,4,2,6]
[4,7,1,2,5,6,8,3]=>[3,8,6,5,2,1,7,4]
[2,6,7,5,8,1,3,4]=>[4,3,1,8,5,7,6,2]
[4,6,7,1,2,5,8,3]=>[3,8,5,2,1,7,6,4]
[5,6,2,4,7,3,8,1]=>[1,8,3,7,4,2,6,5]
[5,4,2,6,7,3,8,1]=>[1,8,3,7,6,2,4,5]
[5,4,2,6,1,7,8,3]=>[3,8,7,1,6,2,4,5]
[1,5,4,6,2,7,8,3]=>[3,8,7,2,6,4,5,1]
[5,6,4,1,2,7,8,3]=>[3,8,7,2,1,4,6,5]
[6,4,5,1,2,7,8,3]=>[3,8,7,2,1,5,4,6]
[6,3,5,1,7,8,2,4]=>[4,2,8,7,1,5,3,6]
[6,5,7,2,8,1,3,4]=>[4,3,1,8,2,7,5,6]
[6,5,7,1,3,4,8,2]=>[2,8,4,3,1,7,5,6]
[5,6,4,7,1,3,8,2]=>[2,8,3,1,7,4,6,5]
[5,4,6,3,1,7,8,2]=>[2,8,7,1,3,6,4,5]
[7,5,3,2,4,8,1,6]=>[6,1,8,4,2,3,5,7]
[8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]
[8,5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5,8]
[8,5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5,8]
[8,4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4,8]
[7,5,4,2,1,8,3,6]=>[6,3,8,1,2,4,5,7]
[7,5,4,2,1,6,8,3]=>[3,8,6,1,2,4,5,7]
[7,4,5,3,1,6,8,2]=>[2,8,6,1,3,5,4,7]
[7,4,3,5,6,1,8,2]=>[2,8,1,6,5,3,4,7]
[5,6,3,7,4,1,8,2]=>[2,8,1,4,7,3,6,5]
[5,6,7,3,1,4,8,2]=>[2,8,4,1,3,7,6,5]
[6,7,3,4,1,5,8,2]=>[2,8,5,1,4,3,7,6]
[6,7,4,2,1,5,8,3]=>[3,8,5,1,2,4,7,6]
[5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]
[5,6,3,7,8,1,2,4]=>[4,2,1,8,7,3,6,5]
[5,6,3,7,2,4,8,1]=>[1,8,4,2,7,3,6,5]
[5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]
[7,4,5,2,8,1,3,6]=>[6,3,1,8,2,5,4,7]
[6,7,3,2,4,8,1,5]=>[5,1,8,4,2,3,7,6]
[7,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,7]
[7,6,3,4,1,2,8,5]=>[5,8,2,1,4,3,6,7]
[7,6,3,2,4,1,8,5]=>[5,8,1,4,2,3,6,7]
[6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]
[6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]
[6,5,3,2,7,4,8,1]=>[1,8,4,7,2,3,5,6]
[6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]
[6,4,5,2,7,8,1,3]=>[3,1,8,7,2,5,4,6]
[7,4,5,2,6,1,8,3]=>[3,8,1,6,2,5,4,7]
[7,4,5,6,1,2,8,3]=>[3,8,2,1,6,5,4,7]
[7,5,6,2,1,3,8,4]=>[4,8,3,1,2,6,5,7]
[6,7,3,5,1,2,8,4]=>[4,8,2,1,5,3,7,6]
[5,6,7,4,1,2,8,3]=>[3,8,2,1,4,7,6,5]
[5,6,7,2,4,1,8,3]=>[3,8,1,4,2,7,6,5]
[5,6,4,2,7,8,1,3]=>[3,1,8,7,2,4,6,5]
[6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]
[6,5,7,2,1,4,8,3]=>[3,8,4,1,2,7,5,6]
[5,4,6,7,3,1,8,2]=>[2,8,1,3,7,6,4,5]
[5,7,8,3,6,4,1,2]=>[2,1,4,6,3,8,7,5]
[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]
[3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]
[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]
[1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]
[3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]
[3,7,5,8,6,4,1,2]=>[2,1,4,6,8,5,7,3]
[5,7,3,8,6,4,1,2]=>[2,1,4,6,8,3,7,5]
[7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]
[7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]
[3,5,7,8,6,4,1,2]=>[2,1,4,6,8,7,5,3]
[1,5,7,8,6,3,4,2]=>[2,4,3,6,8,7,5,1]
[1,5,7,8,3,6,4,2]=>[2,4,6,3,8,7,5,1]
[3,5,7,8,1,6,4,2]=>[2,4,6,1,8,7,5,3]
[5,3,7,8,1,6,4,2]=>[2,4,6,1,8,7,3,5]
[7,3,5,8,6,1,4,2]=>[2,4,1,6,8,5,3,7]
[7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]
[7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]
[7,1,8,5,6,3,4,2]=>[2,4,3,6,5,8,1,7]
[7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]
[5,1,7,8,3,6,4,2]=>[2,4,6,3,8,7,1,5]
[3,1,7,8,5,6,4,2]=>[2,4,6,5,8,7,1,3]
[1,3,7,8,5,6,4,2]=>[2,4,6,5,8,7,3,1]
[3,1,7,5,8,6,4,2]=>[2,4,6,8,5,7,1,3]
[5,1,7,3,8,6,4,2]=>[2,4,6,8,3,7,1,5]
[7,1,5,3,8,6,4,2]=>[2,4,6,8,3,5,1,7]
[7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]
[7,8,1,5,3,6,4,2]=>[2,4,6,3,5,1,8,7]
[7,8,3,5,1,6,4,2]=>[2,4,6,1,5,3,8,7]
[7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]
[5,3,7,1,8,6,4,2]=>[2,4,6,8,1,7,3,5]
[3,5,7,1,8,6,4,2]=>[2,4,6,8,1,7,5,3]
[1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]
[5,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,5]
[5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]
[3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]
[1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]
[1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]
[3,7,8,5,1,6,4,2]=>[2,4,6,1,5,8,7,3]
[5,7,8,3,6,1,4,2]=>[2,4,1,6,3,8,7,5]
[5,7,8,6,3,1,4,2]=>[2,4,1,3,6,8,7,5]
[7,5,8,6,1,3,4,2]=>[2,4,3,1,6,8,5,7]
[5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]
[5,7,8,1,3,6,4,2]=>[2,4,6,3,1,8,7,5]
[3,7,8,1,5,6,4,2]=>[2,4,6,5,1,8,7,3]
[1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]
[1,7,3,8,5,6,4,2]=>[2,4,6,5,8,3,7,1]
[3,7,1,8,5,6,4,2]=>[2,4,6,5,8,1,7,3]
[5,7,1,8,3,6,4,2]=>[2,4,6,3,8,1,7,5]
[5,7,1,8,6,3,4,2]=>[2,4,3,6,8,1,7,5]
[7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]
[7,5,8,1,6,3,4,2]=>[2,4,3,6,1,8,5,7]
[7,8,5,1,6,3,4,2]=>[2,4,3,6,1,5,8,7]
[7,8,5,1,3,6,4,2]=>[2,4,6,3,1,5,8,7]
[7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]
[7,5,1,8,3,6,4,2]=>[2,4,6,3,8,1,5,7]
[7,5,1,3,8,6,4,2]=>[2,4,6,8,3,1,5,7]
[5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]
[3,7,1,5,8,6,4,2]=>[2,4,6,8,5,1,7,3]
[1,7,3,5,8,6,4,2]=>[2,4,6,8,5,3,7,1]
[1,5,3,7,8,6,4,2]=>[2,4,6,8,7,3,5,1]
[3,5,1,7,8,6,4,2]=>[2,4,6,8,7,1,5,3]
[5,3,1,7,8,6,4,2]=>[2,4,6,8,7,1,3,5]
[7,3,1,5,8,6,4,2]=>[2,4,6,8,5,1,3,7]
[7,3,1,8,5,6,4,2]=>[2,4,6,5,8,1,3,7]
[7,3,8,1,5,6,4,2]=>[2,4,6,5,1,8,3,7]
[7,8,3,1,5,6,4,2]=>[2,4,6,5,1,3,8,7]
[7,8,1,3,5,6,4,2]=>[2,4,6,5,3,1,8,7]
[7,1,8,3,5,6,4,2]=>[2,4,6,5,3,8,1,7]
[7,1,3,8,5,6,4,2]=>[2,4,6,5,8,3,1,7]
[7,1,3,5,8,6,4,2]=>[2,4,6,8,5,3,1,7]
[3,1,5,7,8,6,4,2]=>[2,4,6,8,7,5,1,3]
[5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]
[5,7,3,4,8,6,1,2]=>[2,1,6,8,4,3,7,5]
[5,7,3,4,8,1,6,2]=>[2,6,1,8,4,3,7,5]
[5,7,3,4,1,8,6,2]=>[2,6,8,1,4,3,7,5]
[5,7,3,4,1,6,8,2]=>[2,8,6,1,4,3,7,5]
[5,7,3,4,6,1,2,8]=>[8,2,1,6,4,3,7,5]
[7,3,5,6,1,2,8,4]=>[4,8,2,1,6,5,3,7]
[5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]
[5,7,3,1,4,6,8,2]=>[2,8,6,4,1,3,7,5]
[5,7,3,1,4,8,6,2]=>[2,6,8,4,1,3,7,5]
[5,7,3,1,4,8,2,6]=>[6,2,8,4,1,3,7,5]
[5,3,7,4,1,2,8,6]=>[6,8,2,1,4,7,3,5]
[5,3,7,4,1,2,6,8]=>[8,6,2,1,4,7,3,5]
[5,3,7,1,4,2,6,8]=>[8,6,2,4,1,7,3,5]
[5,3,7,1,4,2,8,6]=>[6,8,2,4,1,7,3,5]
[3,7,5,1,2,8,6,4]=>[4,6,8,2,1,5,7,3]
[7,8,3,5,1,2,6,4]=>[4,6,2,1,5,3,8,7]
[7,3,8,5,1,2,6,4]=>[4,6,2,1,5,8,3,7]
[7,3,5,8,1,2,6,4]=>[4,6,2,1,8,5,3,7]
[3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]
[3,7,5,1,2,6,8,4]=>[4,8,6,2,1,5,7,3]
[6,1,4,3,5,2,8,7]=>[7,8,2,5,3,4,1,6]
[2,5,7,3,8,4,1,6]=>[6,1,4,8,3,7,5,2]
[5,4,7,8,6,1,3,2]=>[2,3,1,6,8,7,4,5]
[7,5,6,2,8,3,1,4]=>[4,1,3,8,2,6,5,7]
[4,7,2,5,8,3,1,6]=>[6,1,3,8,5,2,7,4]
[6,2,4,5,1,3,8,7]=>[7,8,3,1,5,4,2,6]
[5,1,4,6,3,2,8,7]=>[7,8,2,3,6,4,1,5]
[3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]
[3,8,6,7,5,4,1,2]=>[2,1,4,5,7,6,8,3]
[6,2,7,8,3,4,1,5]=>[5,1,4,3,8,7,2,6]
[2,5,3,4,8,1,7,6]=>[6,7,1,8,4,3,5,2]
[8,7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7,8]
[5,1,8,2,3,4,7,6]=>[6,7,4,3,2,8,1,5]
[5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]
[3,7,8,1,5,4,6,2]=>[2,6,4,5,1,8,7,3]
[7,1,3,4,6,8,5,2]=>[2,5,8,6,4,3,1,7]
[8,3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3,8]
[5,8,7,1,4,6,2,3]=>[3,2,6,4,1,7,8,5]
[4,7,6,1,8,3,5,2]=>[2,5,3,8,1,6,7,4]
[4,7,2,6,3,8,5,1]=>[1,5,8,3,6,2,7,4]
[2,1,8,4,6,7,3,5]=>[5,3,7,6,4,8,1,2]
[4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]
[3,8,1,5,6,7,2,4]=>[4,2,7,6,5,1,8,3]
[6,7,2,4,8,5,3,1]=>[1,3,5,8,4,2,7,6]
[2,8,3,6,7,5,1,4]=>[4,1,5,7,6,3,8,2]
[8,2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2,8]
[3,2,4,5,8,1,7,6]=>[6,7,1,8,5,4,2,3]
[7,4,6,3,2,1,8,5]=>[5,8,1,2,3,6,4,7]
[4,7,3,2,1,8,6,5]=>[5,6,8,1,2,3,7,4]
[6,4,7,5,2,3,8,1]=>[1,8,3,2,5,7,4,6]
[6,4,8,1,7,3,2,5]=>[5,2,3,7,1,8,4,6]
[4,8,7,2,3,1,5,6]=>[6,5,1,3,2,7,8,4]
[4,2,3,1,8,7,5,6]=>[6,5,7,8,1,3,2,4]
[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]
[6,7,5,2,3,1,8,4]=>[4,8,1,3,2,5,7,6]
[4,7,2,6,5,1,8,3]=>[3,8,1,5,6,2,7,4]
[6,4,2,1,8,5,7,3]=>[3,7,5,8,1,2,4,6]
[7,2,1,5,6,8,4,3]=>[3,4,8,6,5,1,2,7]
[8,7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7,8]
[6,7,8,2,5,3,1,4]=>[4,1,3,5,2,8,7,6]
[2,1,7,3,6,8,5,4]=>[4,5,8,6,3,7,1,2]
[2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]
[2,5,7,8,3,6,1,4]=>[4,1,6,3,8,7,5,2]
[6,4,1,5,7,2,8,3]=>[3,8,2,7,5,1,4,6]
[7,4,8,1,2,5,6,3]=>[3,6,5,2,1,8,4,7]
[4,2,7,8,6,3,5,1]=>[1,5,3,6,8,7,2,4]
[6,1,7,4,3,2,8,5]=>[5,8,2,3,4,7,1,6]
[6,8,3,4,2,1,7,5]=>[5,7,1,2,4,3,8,6]
[4,2,6,1,5,7,8,3]=>[3,8,7,5,1,6,2,4]
[2,4,6,7,3,5,8,1]=>[1,8,5,3,7,6,4,2]
[6,5,8,3,7,4,1,2]=>[2,1,4,7,3,8,5,6]
[7,1,4,8,3,5,6,2]=>[2,6,5,3,8,4,1,7]
[6,8,7,5,3,4,1,2]=>[2,1,4,3,5,7,8,6]
[4,8,6,3,1,5,7,2]=>[2,7,5,1,3,6,8,4]
[3,4,8,2,5,7,6,1]=>[1,6,7,5,2,8,4,3]
[3,6,8,7,2,5,1,4]=>[4,1,5,2,7,8,6,3]
[3,5,7,2,8,6,1,4]=>[4,1,6,8,2,7,5,3]
[2,5,7,4,8,6,1,3]=>[3,1,6,8,4,7,5,2]
[1,6,3,7,5,2,8,4]=>[4,8,2,5,7,3,6,1]
[2,6,3,7,5,1,8,4]=>[4,8,1,5,7,3,6,2]
[2,6,4,8,7,5,1,3]=>[3,1,5,7,8,4,6,2]
[6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]
[3,6,2,5,8,7,1,4]=>[4,1,7,8,5,2,6,3]
[5,2,8,4,7,6,1,3]=>[3,1,6,7,4,8,2,5]
[7,2,4,8,6,5,1,3]=>[3,1,5,6,8,4,2,7]
[6,2,4,8,7,5,1,3]=>[3,1,5,7,8,4,2,6]
[2,4,5,8,7,6,1,3]=>[3,1,6,7,8,5,4,2]
[2,3,5,7,6,1,8,4]=>[4,8,1,6,7,5,3,2]
[1,3,4,6,2,8,7,5]=>[5,7,8,2,6,4,3,1]
[5,2,3,6,1,8,7,4]=>[4,7,8,1,6,3,2,5]
[4,2,7,3,8,1,6,5]=>[5,6,1,8,3,7,2,4]
[2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]
[6,1,3,8,7,2,5,4]=>[4,5,2,7,8,3,1,6]
[3,1,5,6,2,8,7,4]=>[4,7,8,2,6,5,1,3]
[1,2,4,6,3,8,7,5]=>[5,7,8,3,6,4,2,1]
[4,1,5,2,8,7,6,3]=>[3,6,7,8,2,5,1,4]
[7,1,4,2,8,6,5,3]=>[3,5,6,8,2,4,1,7]
[5,1,3,7,2,8,6,4]=>[4,6,8,2,7,3,1,5]
[4,1,5,3,2,8,7,6]=>[6,7,8,2,3,5,1,4]
[2,6,1,4,3,8,7,5]=>[5,7,8,3,4,1,6,2]
[3,6,2,4,1,8,7,5]=>[5,7,8,1,4,2,6,3]
[7,2,3,5,1,8,6,4]=>[4,6,8,1,5,3,2,7]
[7,3,4,1,8,6,5,2]=>[2,5,6,8,1,4,3,7]
[6,3,4,1,8,7,5,2]=>[2,5,7,8,1,4,3,6]
[3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3]
[1,4,5,2,8,7,6,3]=>[3,6,7,8,2,5,4,1]
[1,6,4,2,8,7,5,3]=>[3,5,7,8,2,4,6,1]
[5,6,3,1,8,7,4,2]=>[2,4,7,8,1,3,6,5]
[7,4,2,5,1,8,6,3]=>[3,6,8,1,5,2,4,7]
[5,3,6,2,8,1,7,4]=>[4,7,1,8,2,6,3,5]
[4,6,2,7,5,1,8,3]=>[3,8,1,5,7,2,6,4]
[4,5,2,6,1,8,7,3]=>[3,7,8,1,6,2,5,4]
[1,5,3,6,2,8,7,4]=>[4,7,8,2,6,3,5,1]
[1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]
[2,5,8,3,1,7,6,4]=>[4,6,7,1,3,8,5,2]
[4,5,8,2,1,7,6,3]=>[3,6,7,1,2,8,5,4]
[3,6,2,5,1,4,8,7]=>[7,8,4,1,5,2,6,3]
[5,2,8,4,1,3,7,6]=>[6,7,3,1,4,8,2,5]
[2,4,8,7,1,3,6,5]=>[5,6,3,1,7,8,4,2]
[2,5,8,1,3,7,6,4]=>[4,6,7,3,1,8,5,2]
[2,3,8,1,4,7,6,5]=>[5,6,7,4,1,8,3,2]
[1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]
[3,5,2,1,7,4,8,6]=>[6,8,4,7,1,2,5,3]
[6,3,1,7,2,8,5,4]=>[4,5,8,2,7,1,3,6]
[7,5,1,2,8,6,4,3]=>[3,4,6,8,2,1,5,7]
[4,6,1,2,8,7,5,3]=>[3,5,7,8,2,1,6,4]
[1,6,2,3,8,7,5,4]=>[4,5,7,8,3,2,6,1]
[1,5,2,3,8,7,6,4]=>[4,6,7,8,3,2,5,1]
[4,5,1,2,8,7,6,3]=>[3,6,7,8,2,1,5,4]
[6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]
[7,4,1,2,8,6,5,3]=>[3,5,6,8,2,1,4,7]
[5,3,1,7,2,8,6,4]=>[4,6,8,2,7,1,3,5]
[5,2,8,1,3,7,6,4]=>[4,6,7,3,1,8,2,5]
[4,1,2,8,3,7,6,5]=>[5,6,7,3,8,2,1,4]
[4,7,5,6,8,3,1,2]=>[2,1,3,8,6,5,7,4]
[8,6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6,8]
[7,5,2,6,4,1,3,8]=>[8,3,1,4,6,2,5,7]
[1,6,3,7,5,8,4,2]=>[2,4,8,5,7,3,6,1]
[1,3,7,4,5,8,6,2]=>[2,6,8,5,4,7,3,1]
[7,2,6,3,4,1,5,8]=>[8,5,1,4,3,6,2,7]
[8,3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3,8]
[6,8,4,7,5,3,1,2]=>[2,1,3,5,7,4,8,6]
[4,8,7,5,6,3,1,2]=>[2,1,3,6,5,7,8,4]
[3,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,3]
[1,6,5,2,8,3,7,4]=>[4,7,3,8,2,5,6,1]
[8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]
[2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]
[6,8,5,3,2,1,4,7]=>[7,4,1,2,3,5,8,6]
[2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]
[5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]
[6,1,3,7,5,8,4,2]=>[2,4,8,5,7,3,1,6]
[4,1,7,3,6,8,5,2]=>[2,5,8,6,3,7,1,4]
[8,1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1,8]
[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]
[1,8,6,3,7,5,4,2]=>[2,4,5,7,3,6,8,1]
[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]
[2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]
[8,1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1,8]
[5,3,1,6,8,4,7,2]=>[2,7,4,8,6,1,3,5]
[6,2,8,7,1,4,3,5]=>[5,3,4,1,7,8,2,6]
[8,7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7,8]
[8,2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2,8]
[2,4,8,3,1,5,6,7]=>[7,6,5,1,3,8,4,2]
[3,4,2,7,1,5,6,8]=>[8,6,5,1,7,2,4,3]
[4,7,3,8,2,1,5,6]=>[6,5,1,2,8,3,7,4]
[5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]
[8,3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3,8]
[1,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,1]
[1,4,2,5,8,6,7,3]=>[3,7,6,8,5,2,4,1]
[6,5,3,8,2,1,4,7]=>[7,4,1,2,8,3,5,6]
[2,6,4,5,7,1,3,8]=>[8,3,1,7,5,4,6,2]
[5,4,6,2,7,1,3,8]=>[8,3,1,7,2,6,4,5]
[7,6,3,1,8,4,5,2]=>[2,5,4,8,1,3,6,7]
[7,6,2,1,8,5,3,4]=>[4,3,5,8,1,2,6,7]
[1,7,5,8,6,4,3,2]=>[2,3,4,6,8,5,7,1]
[6,5,1,2,8,3,7,4]=>[4,7,3,8,2,1,5,6]
[8,6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6,8]
[6,8,4,1,3,7,5,2]=>[2,5,7,3,1,4,8,6]
[6,5,7,1,3,8,4,2]=>[2,4,8,3,1,7,5,6]
[5,8,3,1,7,4,6,2]=>[2,6,4,7,1,3,8,5]
[8,3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3,8]
[1,3,8,7,4,6,5,2]=>[2,5,6,4,7,8,3,1]
[1,2,8,7,6,3,5,4]=>[4,5,3,6,7,8,2,1]
[8,2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2,8]
[2,3,1,8,7,4,5,6]=>[6,5,4,7,8,1,3,2]
[2,4,1,8,5,7,3,6]=>[6,3,7,5,8,1,4,2]
[5,8,2,1,7,6,3,4]=>[4,3,6,7,1,2,8,5]
[6,2,7,1,8,5,3,4]=>[4,3,5,8,1,7,2,6]
[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]
[7,1,8,3,6,5,4,2]=>[2,4,5,6,3,8,1,7]
[4,1,8,7,5,6,3,2]=>[2,3,6,5,7,8,1,4]
[2,1,7,8,4,6,3,5]=>[5,3,6,4,8,7,1,2]
[3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]
[5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]
[2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]
[8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]
[4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]
[4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]
[3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]
[5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]
[7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]
[8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]
[7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]
[8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]
[7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]
[7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]
[4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]
[4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]
[5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]
[8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]
[5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]
[5,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,5]
[4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]
[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]
[3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]
[4,7,3,6,5,8,2,1]=>[1,2,8,5,6,3,7,4]
[4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]
[8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]
[8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]
[4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]
[5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]
[5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]
[5,2,8,3,7,6,1,4]=>[4,1,6,7,3,8,2,5]
[8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]
[6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]
[6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]
[6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]
[6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]
[8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]
[6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]
[6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]
[6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]
[7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]
[7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]
[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]
[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]
[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]
[8,6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6,8]
[4,8,6,7,5,1,3,2]=>[2,3,1,5,7,6,8,4]
[7,1,8,4,6,5,2,3]=>[3,2,5,6,4,8,1,7]
[8,7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7,8]
[8,5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5,8]
[6,4,8,5,1,7,3,2]=>[2,3,7,1,5,8,4,6]
[4,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,4]
[8,4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4,8]
[8,7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7,8]
[8,7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7,8]
[8,7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7,8]
[8,7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7,8]
[4,8,7,2,5,1,6,3]=>[3,6,1,5,2,7,8,4]
[1,6,4,8,5,2,7,3]=>[3,7,2,5,8,4,6,1]
[8,7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7,8]
[8,7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7,8]
[7,1,8,5,6,2,3,4]=>[4,3,2,6,5,8,1,7]
[3,8,7,1,2,5,6,4]=>[4,6,5,2,1,7,8,3]
[3,5,8,7,1,2,6,4]=>[4,6,2,1,7,8,5,3]
[2,3,8,5,7,1,6,4]=>[4,6,1,7,5,8,3,2]
[3,8,7,1,5,6,2,4]=>[4,2,6,5,1,7,8,3]
[3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]
[2,3,8,6,7,5,1,4]=>[4,1,5,7,6,8,3,2]
[3,2,8,6,7,5,1,4]=>[4,1,5,7,6,8,2,3]
[4,1,8,6,2,7,5,3]=>[3,5,7,2,6,8,1,4]
[8,7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7,8]
[1,3,8,6,7,5,2,4]=>[4,2,5,7,6,8,3,1]
[5,7,1,8,2,6,3,4]=>[4,3,6,2,8,1,7,5]
[2,8,7,1,5,6,3,4]=>[4,3,6,5,1,7,8,2]
[7,1,8,2,4,6,5,3]=>[3,5,6,4,2,8,1,7]
[1,6,2,8,4,7,5,3]=>[3,5,7,4,8,2,6,1]
[1,3,8,5,7,2,6,4]=>[4,6,2,7,5,8,3,1]
[1,8,3,7,2,5,6,4]=>[4,6,5,2,7,3,8,1]
[2,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,2]
[5,7,1,8,2,3,6,4]=>[4,6,3,2,8,1,7,5]
[7,1,8,2,3,5,6,4]=>[4,6,5,3,2,8,1,7]
[8,6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6,8]
[4,2,8,6,7,5,1,3]=>[3,1,5,7,6,8,2,4]
[8,4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4,8]
[4,8,3,6,1,7,5,2]=>[2,5,7,1,6,3,8,4]
[8,3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3,8]
[8,3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3,8]
[8,7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7,8]
[8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]
[8,7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7,8]
[4,8,6,1,7,2,5,3]=>[3,5,2,7,1,6,8,4]
[4,7,1,8,2,6,5,3]=>[3,5,6,2,8,1,7,4]
[4,2,8,6,7,1,5,3]=>[3,5,1,7,6,8,2,4]
[8,7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7,8]
[8,2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2,8]
[8,2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2,8]
[2,8,3,6,7,1,5,4]=>[4,5,1,7,6,3,8,2]
[8,7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7,8]
[1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]
[1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]
[8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8]
[1,8,7,3,6,2,4,5]=>[5,4,2,6,3,7,8,1]
[1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]
[8,2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2,8]
[8,2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2,8]
[8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8]
[2,8,7,3,5,6,1,4]=>[4,1,6,5,3,7,8,2]
[8,3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3,8]
[8,5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5,8]
[1,5,2,8,6,7,4,3]=>[3,4,7,6,8,2,5,1]
[1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]
[1,8,3,6,7,5,2,4]=>[4,2,5,7,6,3,8,1]
[8,2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2,8]
[8,3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3,8]
[8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8]
[8,4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4,8]
[8,1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1,8]
[1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]
[8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]
[8,1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1,8]
[8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]
[8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]
[8,1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1,8]
[1,8,3,6,7,2,5,4]=>[4,5,2,7,6,3,8,1]
[1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]
[8,3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3,8]
[8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]
[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]
[3,1,8,5,7,4,2,6]=>[6,2,4,7,5,8,1,3]
[8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]
[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]
[2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]
[2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]
[2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]
[8,4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4,8]
[4,8,1,7,6,3,2,5]=>[5,2,3,6,7,1,8,4]
[4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]
[3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]
[3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]
[3,1,7,5,8,4,2,6]=>[6,2,4,8,5,7,1,3]
[3,1,6,8,7,5,2,4]=>[4,2,5,7,8,6,1,3]
[6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]
[7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]
[7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]
[7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]
[7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]
[8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]
[7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]
[7,5,2,3,1,4,8,6]=>[6,8,4,1,3,2,5,7]
[7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]
[6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]
[4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]
[4,7,8,1,3,6,2,5]=>[5,2,6,3,1,8,7,4]
[5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]
[5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]
[5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]
[4,8,6,1,3,2,7,5]=>[5,7,2,3,1,6,8,4]
[8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]
[5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]
[5,4,8,7,3,1,2,6]=>[6,2,1,3,7,8,4,5]
[6,8,3,7,2,5,4,1]=>[1,4,5,2,7,3,8,6]
[5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]
[5,7,4,2,8,3,6,1]=>[1,6,3,8,2,4,7,5]
[6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]
[6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]
[6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]
[6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]
[7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]
[7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]
[6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]
[6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]
[7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]
[7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]
[7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]
[5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]
[5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]
[6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]
[6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]
[6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]
[5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]
[4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]
[5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]
[5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]
[5,8,4,3,6,7,1,2]=>[2,1,7,6,3,4,8,5]
[5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]
[5,3,8,6,2,7,4,1]=>[1,4,7,2,6,8,3,5]
[4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]
[4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]
[6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]
[5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]
[5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]
[5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]
[5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]
[5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]
[6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]
[6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]
[5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]
[5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]
[6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]
[5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]
[5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]
[4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]
[4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]
[5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]
[5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]
[3,6,7,8,2,5,1,4]=>[4,1,5,2,8,7,6,3]
[5,7,8,2,6,4,1,3]=>[3,1,4,6,2,8,7,5]
[3,6,8,5,7,1,4,2]=>[2,4,1,7,5,8,6,3]
[1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]
[3,6,2,5,7,8,1,4]=>[4,1,8,7,5,2,6,3]
[5,2,7,4,6,8,1,3]=>[3,1,8,6,4,7,2,5]
[5,3,6,7,1,8,4,2]=>[2,4,8,1,7,6,3,5]
[4,2,5,6,7,1,8,3]=>[3,8,1,7,6,5,2,4]
[8,2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2,8]
[7,2,6,3,5,1,8,4]=>[4,8,1,5,3,6,2,7]
[8,1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1,8]
[8,1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1,8]
[8,1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1,8]
[6,1,3,8,2,7,4,5]=>[5,4,7,2,8,3,1,6]
[6,2,7,3,1,5,8,4]=>[4,8,5,1,3,7,2,6]
[6,3,4,1,8,5,7,2]=>[2,7,5,8,1,4,3,6]
[7,3,4,1,5,8,6,2]=>[2,6,8,5,1,4,3,7]
[1,7,5,2,8,6,3,4]=>[4,3,6,8,2,5,7,1]
[3,7,4,1,8,5,6,2]=>[2,6,5,8,1,4,7,3]
[5,6,3,1,7,8,4,2]=>[2,4,8,7,1,3,6,5]
[3,6,4,8,1,5,7,2]=>[2,7,5,1,8,4,6,3]
[1,5,8,4,2,6,3,7]=>[7,3,6,2,4,8,5,1]
[3,5,7,4,1,6,8,2]=>[2,8,6,1,4,7,5,3]
[3,5,7,1,2,6,4,8]=>[8,4,6,2,1,7,5,3]
[4,5,1,8,2,3,7,6]=>[6,7,3,2,8,1,5,4]
[4,7,1,8,2,6,3,5]=>[5,3,6,2,8,1,7,4]
[6,3,1,8,5,2,4,7]=>[7,4,2,5,8,1,3,6]
[3,5,2,1,8,4,6,7]=>[7,6,4,8,1,2,5,3]
[7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7]
[6,4,1,2,7,3,8,5]=>[5,8,3,7,2,1,4,6]
[5,2,6,1,3,4,8,7]=>[7,8,4,3,1,6,2,5]
[7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]
[6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]
[6,7,1,4,3,5,2,8]=>[8,2,5,3,4,1,7,6]
[7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]
[7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]
[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]
[1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]
[5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]
[6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]
[6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]
[6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]
[6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]
[2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]
[1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]
[2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]
[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]
[5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]
[4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]
[4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]
[4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]
[5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]
[5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]
[5,6,1,3,2,7,4,8]=>[8,4,7,2,3,1,6,5]
[5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]
[6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]
[4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]
[4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]
[4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]
[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]
[3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]
[4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]
[4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]
[4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]
[4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]
[3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]
[1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]
[1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]
[3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]
[3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]
[3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]
[4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]
[2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]
[2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]
[2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]
[4,6,2,7,3,5,8,1]=>[1,8,5,3,7,2,6,4]
[3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]
[4,6,1,7,3,8,2,5]=>[5,2,8,3,7,1,6,4]
[2,4,7,1,3,8,6,5]=>[5,6,8,3,1,7,4,2]
[5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]
[3,5,2,7,6,4,8,1]=>[1,8,4,6,7,2,5,3]
[1,5,7,4,3,8,2,6]=>[6,2,8,3,4,7,5,1]
[2,5,7,3,1,8,6,4]=>[4,6,8,1,3,7,5,2]
[1,5,7,2,8,3,6,4]=>[4,6,3,8,2,7,5,1]
[2,5,7,3,1,8,4,6]=>[6,4,8,1,3,7,5,2]
[1,5,7,3,4,8,2,6]=>[6,2,8,4,3,7,5,1]
[5,2,6,7,1,8,4,3]=>[3,4,8,1,7,6,2,5]
[1,3,7,2,8,5,6,4]=>[4,6,5,8,2,7,3,1]
[2,3,1,5,8,4,7,6]=>[6,7,4,8,5,1,3,2]
[2,1,5,6,8,4,3,7]=>[7,3,4,8,6,5,1,2]
[2,3,1,5,8,6,4,7]=>[7,4,6,8,5,1,3,2]
[1,3,7,2,8,5,4,6]=>[6,4,5,8,2,7,3,1]
[2,3,1,6,8,5,4,7]=>[7,4,5,8,6,1,3,2]
[4,6,2,7,1,8,3,5]=>[5,3,8,1,7,2,6,4]
[1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]
[1,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,1]
[2,5,1,7,8,6,3,4]=>[4,3,6,8,7,1,5,2]
[1,3,6,2,8,7,4,5]=>[5,4,7,8,2,6,3,1]
[2,1,5,6,8,4,7,3]=>[3,7,4,8,6,5,1,2]
[2,4,1,7,8,5,6,3]=>[3,6,5,8,7,1,4,2]
[1,3,6,2,8,4,7,5]=>[5,7,4,8,2,6,3,1]
[2,1,5,6,8,7,3,4]=>[4,3,7,8,6,5,1,2]
[3,6,5,2,7,8,4,1]=>[1,4,8,7,2,5,6,3]
[6,2,4,7,5,8,3,1]=>[1,3,8,5,7,4,2,6]
[1,5,7,8,4,2,6,3]=>[3,6,2,4,8,7,5,1]
[3,7,4,1,8,6,2,5]=>[5,2,6,8,1,4,7,3]
[3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]
[4,2,5,7,3,1,8,6]=>[6,8,1,3,7,5,2,4]
[4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]
[2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]
[4,5,6,1,8,7,3,2]=>[2,3,7,8,1,6,5,4]
[4,5,6,3,1,8,7,2]=>[2,7,8,1,3,6,5,4]
[4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]
[4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]
[4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]
[4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]
[4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]
[2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]
[4,3,5,7,6,1,8,2]=>[2,8,1,6,7,5,3,4]
[4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]
[5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]
[5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]
[5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]
[2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]
[3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]
[4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]
[5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]
[5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]
[5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]
[5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]
[5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]
[4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]
[3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]
[3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]
[3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]
[2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]
[2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]
[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]
[5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]
[5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]
[5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]
[5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]
[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]
[5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]
[5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]
[3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]
[2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]
[3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]
[5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]
[5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]
[5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]
[7,3,1,6,5,4,8,2]=>[2,8,4,5,6,1,3,7]
[7,2,8,1,5,4,3,6]=>[6,3,4,5,1,8,2,7]
[4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]
[3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3]
[7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]
[7,2,8,6,1,4,3,5]=>[5,3,4,1,6,8,2,7]
[5,2,7,6,8,4,1,3]=>[3,1,4,8,6,7,2,5]
[3,8,7,2,5,4,1,6]=>[6,1,4,5,2,7,8,3]
[7,5,1,6,8,4,3,2]=>[2,3,4,8,6,1,5,7]
[7,4,2,1,5,6,3,8]=>[8,3,6,5,1,2,4,7]
[7,2,8,6,5,1,3,4]=>[4,3,1,5,6,8,2,7]
[5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]
[4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]
[6,7,1,4,3,2,5,8]=>[8,5,2,3,4,1,7,6]
[3,4,2,6,7,1,5,8]=>[8,5,1,7,6,2,4,3]
[3,7,1,6,5,2,4,8]=>[8,4,2,5,6,1,7,3]
[3,5,6,2,4,7,1,8]=>[8,1,7,4,2,6,5,3]
[3,5,8,7,2,4,6,1]=>[1,6,4,2,7,8,5,3]
[1,7,8,2,5,4,3,6]=>[6,3,4,5,2,8,7,1]
[8,7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7,8]
[2,5,6,4,7,1,3,8]=>[8,3,1,7,4,6,5,2]
[4,7,1,6,3,5,2,8]=>[8,2,5,3,6,1,7,4]
[4,5,3,8,7,2,6,1]=>[1,6,2,7,8,3,5,4]
[1,4,5,3,7,8,2,6]=>[6,2,8,7,3,5,4,1]
[1,4,8,2,7,6,3,5]=>[5,3,6,7,2,8,4,1]
[4,7,3,5,1,8,6,2]=>[2,6,8,1,5,3,7,4]
[8,7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7,8]
[2,5,8,7,4,6,1,3]=>[3,1,6,4,7,8,5,2]
[5,4,2,1,7,8,3,6]=>[6,3,8,7,1,2,4,5]
[4,7,8,3,5,2,1,6]=>[6,1,2,5,3,8,7,4]
[4,7,6,2,1,8,3,5]=>[5,3,8,1,2,6,7,4]
[1,4,6,7,3,5,8,2]=>[2,8,5,3,7,6,4,1]
[8,3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3,8]
[8,3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3,8]
[2,3,1,8,4,7,6,5]=>[5,6,7,4,8,1,3,2]
[2,7,4,8,6,5,1,3]=>[3,1,5,6,8,4,7,2]
[8,6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6,8]
[8,5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5,8]
[6,3,7,2,8,5,4,1]=>[1,4,5,8,2,7,3,6]
[1,6,3,8,2,7,5,4]=>[4,5,7,2,8,3,6,1]
[1,7,5,3,8,2,6,4]=>[4,6,2,8,3,5,7,1]
[6,2,7,4,1,8,5,3]=>[3,5,8,1,4,7,2,6]
[8,6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6,8]
[2,7,5,1,3,8,6,4]=>[4,6,8,3,1,5,7,2]
[1,7,6,4,3,8,2,5]=>[5,2,8,3,4,6,7,1]
[3,7,2,4,8,6,5,1]=>[1,5,6,8,4,2,7,3]
[3,4,2,8,7,6,1,5]=>[5,1,6,7,8,2,4,3]
[5,1,4,3,2,7,8,6]=>[6,8,7,2,3,4,1,5]
[3,7,8,5,2,4,1,6]=>[6,1,4,2,5,8,7,3]
[3,7,6,2,4,1,8,5]=>[5,8,1,4,2,6,7,3]
[1,6,8,2,5,7,4,3]=>[3,4,7,5,2,8,6,1]
[6,7,2,5,8,4,3,1]=>[1,3,4,8,5,2,7,6]
[5,2,7,8,4,3,1,6]=>[6,1,3,4,8,7,2,5]
[5,3,1,7,8,4,2,6]=>[6,2,4,8,7,1,3,5]
[2,7,6,4,1,3,8,5]=>[5,8,3,1,4,6,7,2]
[4,1,7,6,3,2,8,5]=>[5,8,2,3,6,7,1,4]
[8,4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4,8]
[6,3,1,7,5,2,8,4]=>[4,8,2,5,7,1,3,6]
[6,2,7,5,3,1,8,4]=>[4,8,1,3,5,7,2,6]
[1,5,8,2,7,4,6,3]=>[3,6,4,7,2,8,5,1]
[5,7,2,8,4,6,3,1]=>[1,3,6,4,8,2,7,5]
[5,7,3,1,8,4,6,2]=>[2,6,4,8,1,3,7,5]
[8,4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4,8]
[2,6,8,5,7,4,1,3]=>[3,1,4,7,5,8,6,2]
[6,5,2,1,7,4,8,3]=>[3,8,4,7,1,2,5,6]
[5,7,4,6,2,1,8,3]=>[3,8,1,2,6,4,7,5]
[5,6,4,8,3,7,2,1]=>[1,2,7,3,8,4,6,5]
[6,7,1,8,3,4,2,5]=>[5,2,4,3,8,1,7,6]
[7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]
[5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]
[6,7,2,4,3,8,1,5]=>[5,1,8,3,4,2,7,6]
[2,4,3,8,6,7,1,5]=>[5,1,7,6,8,3,4,2]
[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]
[2,5,4,8,3,6,1,7]=>[7,1,6,3,8,4,5,2]
[2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]
[5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]
[5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]
[5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]
[4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]
[4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]
[4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]
[4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]
[6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]
[5,6,3,7,1,4,2,8]=>[8,2,4,1,7,3,6,5]
[5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]
[1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]
[1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]
[5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]
[4,6,5,8,1,7,2,3]=>[3,2,7,1,8,5,6,4]
[3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]
[3,5,1,4,2,8,6,7]=>[7,6,8,2,4,1,5,3]
[4,6,5,8,3,7,1,2]=>[2,1,7,3,8,5,6,4]
[4,6,5,8,2,3,1,7]=>[7,1,3,2,8,5,6,4]
[3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]
[3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]
[1,8,3,5,4,7,2,6]=>[6,2,7,4,5,3,8,1]
[3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]
[4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]
[2,4,3,8,1,7,5,6]=>[6,5,7,1,8,3,4,2]
[2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]
[2,6,3,8,1,7,4,5]=>[5,4,7,1,8,3,6,2]
[2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]
[1,2,8,7,4,6,3,5]=>[5,3,6,4,7,8,2,1]
[3,7,4,8,6,1,5,2]=>[2,5,1,6,8,4,7,3]
[4,5,1,8,7,6,2,3]=>[3,2,6,7,8,1,5,4]
[1,5,2,8,7,6,3,4]=>[4,3,6,7,8,2,5,1]
[5,1,2,8,7,6,3,4]=>[4,3,6,7,8,2,1,5]
[4,1,5,8,7,6,2,3]=>[3,2,6,7,8,5,1,4]
[2,3,6,8,7,4,5,1]=>[1,5,4,7,8,6,3,2]
[2,3,7,8,6,4,5,1]=>[1,5,4,6,8,7,3,2]
[4,5,7,8,2,6,3,1]=>[1,3,6,2,8,7,5,4]
[4,5,6,8,2,7,3,1]=>[1,3,7,2,8,6,5,4]
[5,2,6,8,3,7,4,1]=>[1,4,7,3,8,6,2,5]
[3,1,6,8,7,4,5,2]=>[2,5,4,7,8,6,1,3]
[6,1,4,8,7,2,5,3]=>[3,5,2,7,8,4,1,6]
[6,1,8,4,7,3,5,2]=>[2,5,3,7,4,8,1,6]
[5,8,3,4,7,1,6,2]=>[2,6,1,7,4,3,8,5]
[6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]
[3,1,7,8,6,4,5,2]=>[2,5,4,6,8,7,1,3]
[5,2,7,8,3,6,4,1]=>[1,4,6,3,8,7,2,5]
[4,6,7,8,2,5,3,1]=>[1,3,5,2,8,7,6,4]
[7,4,5,2,8,6,3,1]=>[1,3,6,8,2,5,4,7]
[7,5,8,4,2,6,3,1]=>[1,3,6,2,4,8,5,7]
[6,8,4,5,2,7,3,1]=>[1,3,7,2,5,4,8,6]
[6,8,2,5,3,7,4,1]=>[1,4,7,3,5,2,8,6]
[6,3,8,4,2,7,5,1]=>[1,5,7,2,4,8,3,6]
[7,2,5,3,8,6,4,1]=>[1,4,6,8,3,5,2,7]
[3,4,7,5,8,6,2,1]=>[1,2,6,8,5,7,4,3]
[3,6,7,4,8,5,2,1]=>[1,2,5,8,4,7,6,3]
[6,7,4,2,8,5,3,1]=>[1,3,5,8,2,4,7,6]
[4,7,5,2,8,6,3,1]=>[1,3,6,8,2,5,7,4]
[2,7,5,3,8,6,4,1]=>[1,4,6,8,3,5,7,2]
[5,6,2,8,3,7,4,1]=>[1,4,7,3,8,2,6,5]
[5,7,8,3,2,6,4,1]=>[1,4,6,2,3,8,7,5]
[5,6,8,3,2,7,4,1]=>[1,4,7,2,3,8,6,5]
[3,6,8,4,2,7,5,1]=>[1,5,7,2,4,8,6,3]
[1,5,8,2,7,3,6,4]=>[4,6,3,7,2,8,5,1]
[5,8,4,7,2,3,6,1]=>[1,6,3,2,7,4,8,5]
[5,6,8,1,3,7,4,2]=>[2,4,7,3,1,8,6,5]
[6,7,4,8,1,5,3,2]=>[2,3,5,1,8,4,7,6]
[5,7,2,8,3,6,4,1]=>[1,4,6,3,8,2,7,5]
[1,7,4,8,6,2,5,3]=>[3,5,2,6,8,4,7,1]
[7,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,7]
[6,8,5,3,7,2,4,1]=>[1,4,2,7,3,5,8,6]
[6,8,5,2,3,7,4,1]=>[1,4,7,3,2,5,8,6]
[7,5,3,8,2,6,4,1]=>[1,4,6,2,8,3,5,7]
[7,5,2,3,8,6,4,1]=>[1,4,6,8,3,2,5,7]
[3,7,4,5,8,6,2,1]=>[1,2,6,8,5,4,7,3]
[6,7,3,4,8,5,2,1]=>[1,2,5,8,4,3,7,6]
[3,6,4,7,8,5,2,1]=>[1,2,5,8,7,4,6,3]
[6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6]
[7,4,2,5,8,6,3,1]=>[1,3,6,8,5,2,4,7]
[6,1,8,3,4,7,5,2]=>[2,5,7,4,3,8,1,6]
[6,8,4,2,5,7,3,1]=>[1,3,7,5,2,4,8,6]
[7,5,8,3,4,6,2,1]=>[1,2,6,4,3,8,5,7]
[7,4,5,8,1,6,3,2]=>[2,3,6,1,8,5,4,7]
[6,3,4,7,8,5,2,1]=>[1,2,5,8,7,4,3,6]
[6,1,7,3,4,5,8,2]=>[2,8,5,4,3,7,1,6]
[5,7,2,3,4,1,8,6]=>[6,8,1,4,3,2,7,5]
[2,7,1,8,4,5,6,3]=>[3,6,5,4,8,1,7,2]
[2,6,8,3,4,5,1,7]=>[7,1,5,4,3,8,6,2]
[6,1,2,7,4,5,8,3]=>[3,8,5,4,7,2,1,6]
[4,7,2,3,1,5,8,6]=>[6,8,5,1,3,2,7,4]
[2,7,1,3,8,5,6,4]=>[4,6,5,8,3,1,7,2]
[2,6,7,8,4,5,3,1]=>[1,3,5,4,8,7,6,2]
[2,5,8,3,4,1,6,7]=>[7,6,1,4,3,8,5,2]
[5,6,2,7,4,3,8,1]=>[1,8,3,4,7,2,6,5]
[4,6,7,3,2,5,8,1]=>[1,8,5,2,3,7,6,4]
[2,6,7,3,8,5,4,1]=>[1,4,5,8,3,7,6,2]
[2,6,1,8,4,5,3,7]=>[7,3,5,4,8,1,6,2]
[2,5,7,8,4,3,6,1]=>[1,6,3,4,8,7,5,2]
[3,6,8,4,5,7,1,2]=>[2,1,7,5,4,8,6,3]
[1,6,8,4,7,2,3,5]=>[5,3,2,7,4,8,6,1]
[1,4,5,7,8,2,6,3]=>[3,6,2,8,7,5,4,1]
[3,4,5,7,8,6,1,2]=>[2,1,6,8,7,5,4,3]
[3,4,5,7,6,8,1,2]=>[2,1,8,6,7,5,4,3]
[3,6,7,4,8,5,1,2]=>[2,1,5,8,4,7,6,3]
[3,4,5,6,8,7,1,2]=>[2,1,7,8,6,5,4,3]
[1,4,5,8,7,2,3,6]=>[6,3,2,7,8,5,4,1]
[1,2,5,8,3,6,4,7]=>[7,4,6,3,8,5,2,1]
[1,4,5,8,6,2,3,7]=>[7,3,2,6,8,5,4,1]
[7,8,1,4,6,2,3,5]=>[5,3,2,6,4,1,8,7]
[1,6,7,4,8,2,5,3]=>[3,5,2,8,4,7,6,1]
[1,4,5,6,8,2,7,3]=>[3,7,2,8,6,5,4,1]
[1,4,5,8,6,2,7,3]=>[3,7,2,6,8,5,4,1]
[1,2,5,8,3,4,7,6]=>[6,7,4,3,8,5,2,1]
[1,6,7,2,3,5,8,4]=>[4,8,5,3,2,7,6,1]
[7,8,1,2,3,5,4,6]=>[6,4,5,3,2,1,8,7]
[1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]
[1,4,5,7,6,2,3,8]=>[8,3,2,6,7,5,4,1]
[1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]
[1,2,5,7,3,6,8,4]=>[4,8,6,3,7,5,2,1]
[1,6,8,2,3,5,7,4]=>[4,7,5,3,2,8,6,1]
[1,6,8,4,5,2,3,7]=>[7,3,2,5,4,8,6,1]
[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]
[1,6,8,2,3,4,7,5]=>[5,7,4,3,2,8,6,1]
[1,6,8,2,3,7,4,5]=>[5,4,7,3,2,8,6,1]
[1,4,5,7,6,2,8,3]=>[3,8,2,6,7,5,4,1]
[7,8,1,4,5,2,6,3]=>[3,6,2,5,4,1,8,7]
[7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]
[7,8,1,2,3,6,4,5]=>[5,4,6,3,2,1,8,7]
[1,6,7,2,3,8,5,4]=>[4,5,8,3,2,7,6,1]
[1,2,5,6,3,8,7,4]=>[4,7,8,3,6,5,2,1]
[4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]
[8,2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2,8]
[6,2,4,3,1,8,7,5]=>[5,7,8,1,3,4,2,6]
[4,2,6,3,5,1,8,7]=>[7,8,1,5,3,6,2,4]
[4,6,2,1,5,8,7,3]=>[3,7,8,5,1,2,6,4]
[4,6,5,2,1,8,7,3]=>[3,7,8,1,2,5,6,4]
[2,1,6,4,3,8,7,5]=>[5,7,8,3,4,6,1,2]
[4,8,2,1,6,7,3,5]=>[5,3,7,6,1,2,8,4]
[6,8,2,1,4,3,7,5]=>[5,7,3,4,1,2,8,6]
[8,6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6,8]
[6,8,2,4,3,1,7,5]=>[5,7,1,3,4,2,8,6]
[6,8,7,2,4,3,1,5]=>[5,1,3,4,2,7,8,6]
[2,1,8,4,6,5,3,7]=>[7,3,5,6,4,8,1,2]
[2,1,6,4,8,5,7,3]=>[3,7,5,8,4,6,1,2]
[4,6,5,2,8,3,7,1]=>[1,7,3,8,2,5,6,4]
[2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]
[6,4,2,8,3,5,7,1]=>[1,7,5,3,8,2,4,6]
[8,4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4,8]
[6,2,4,8,5,3,7,1]=>[1,7,3,5,8,4,2,6]
[4,2,6,3,5,8,7,1]=>[1,7,8,5,3,6,2,4]
[4,2,6,3,8,7,5,1]=>[1,5,7,8,3,6,2,4]
[6,2,4,3,8,5,7,1]=>[1,7,5,8,3,4,2,6]
[8,2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2,8]
[8,2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2,8]
[6,2,1,4,8,5,7,3]=>[3,7,5,8,4,1,2,6]
[6,2,1,8,7,4,3,5]=>[5,3,4,7,8,1,2,6]
[6,2,1,8,4,3,7,5]=>[5,7,3,4,8,1,2,6]
[8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]
[6,4,8,5,2,1,7,3]=>[3,7,1,2,5,8,4,6]
[6,4,8,5,7,2,1,3]=>[3,1,2,7,5,8,4,6]
[4,6,8,7,5,2,1,3]=>[3,1,2,5,7,8,6,4]
[2,1,4,8,6,7,3,5]=>[5,3,7,6,8,4,1,2]
[2,6,8,7,4,5,1,3]=>[3,1,5,4,7,8,6,2]
[2,4,8,6,7,5,1,3]=>[3,1,5,7,6,8,4,2]
[4,2,8,6,5,7,1,3]=>[3,1,7,5,6,8,2,4]
[8,2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2,8]
[8,4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4,8]
[4,6,8,7,2,1,5,3]=>[3,5,1,2,7,8,6,4]
[4,6,5,8,2,1,7,3]=>[3,7,1,2,8,5,6,4]
[2,1,6,8,4,3,7,5]=>[5,7,3,4,8,6,1,2]
[6,8,7,4,2,1,3,5]=>[5,3,1,2,4,7,8,6]
[2,8,6,4,7,1,3,5]=>[5,3,1,7,4,6,8,2]
[4,8,6,2,1,7,3,5]=>[5,3,7,1,2,6,8,4]
[2,8,5,3,1,4,6,7]=>[7,6,4,1,3,5,8,2]
[2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]
[2,7,4,8,3,5,6,1]=>[1,6,5,3,8,4,7,2]
[7,2,8,4,3,5,1,6]=>[6,1,5,3,4,8,2,7]
[8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]
[8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]
[8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]
[6,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,6]
[6,7,3,8,4,2,1,5]=>[5,1,2,4,8,3,7,6]
[7,1,8,4,3,5,2,6]=>[6,2,5,3,4,8,1,7]
[1,7,8,4,3,5,2,6]=>[6,2,5,3,4,8,7,1]
[7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]
[7,4,8,1,5,6,2,3]=>[3,2,6,5,1,8,4,7]
[7,1,8,4,3,5,6,2]=>[2,6,5,3,4,8,1,7]
[6,7,3,1,8,4,5,2]=>[2,5,4,8,1,3,7,6]
[6,7,3,8,4,5,2,1]=>[1,2,5,4,8,3,7,6]
[6,7,1,4,8,3,5,2]=>[2,5,3,8,4,1,7,6]
[6,7,4,1,3,8,2,5]=>[5,2,8,3,1,4,7,6]
[1,6,7,8,4,3,2,5]=>[5,2,3,4,8,7,6,1]
[7,2,1,8,4,5,3,6]=>[6,3,5,4,8,1,2,7]
[6,2,7,1,8,4,3,5]=>[5,3,4,8,1,7,2,6]
[6,2,7,8,4,3,1,5]=>[5,1,3,4,8,7,2,6]
[6,2,7,8,4,3,5,1]=>[1,5,3,4,8,7,2,6]
[2,6,7,4,8,3,5,1]=>[1,5,3,8,4,7,6,2]
[2,6,7,4,8,3,1,5]=>[5,1,3,8,4,7,6,2]
[7,8,1,3,6,2,4,5]=>[5,4,2,6,3,1,8,7]
[1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]
[2,6,7,1,8,5,3,4]=>[4,3,5,8,1,7,6,2]
[2,6,7,8,5,3,1,4]=>[4,1,3,5,8,7,6,2]
[2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]
[6,2,7,8,4,5,3,1]=>[1,3,5,4,8,7,2,6]
[7,2,1,8,4,5,6,3]=>[3,6,5,4,8,1,2,7]
[1,7,2,8,4,5,6,3]=>[3,6,5,4,8,2,7,1]
[3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]
[6,3,7,8,1,5,2,4]=>[4,2,5,1,8,7,3,6]
[6,7,1,2,8,5,3,4]=>[4,3,5,8,2,1,7,6]
[1,6,7,8,4,2,5,3]=>[3,5,2,4,8,7,6,1]
[3,1,2,7,6,5,8,4]=>[4,8,5,6,7,2,1,3]
[6,1,2,4,7,3,8,5]=>[5,8,3,7,4,2,1,6]
[1,7,5,3,6,4,8,2]=>[2,8,4,6,3,5,7,1]
[5,1,2,6,7,4,8,3]=>[3,8,4,7,6,2,1,5]
[4,1,5,7,3,2,6,8]=>[8,6,2,3,7,5,1,4]
[4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]
[4,6,1,8,3,2,5,7]=>[7,5,2,3,8,1,6,4]
[4,7,1,8,3,5,2,6]=>[6,2,5,3,8,1,7,4]
[4,1,7,8,6,2,3,5]=>[5,3,2,6,8,7,1,4]
[1,6,5,7,8,3,4,2]=>[2,4,3,8,7,5,6,1]
[1,6,5,8,7,3,4,2]=>[2,4,3,7,8,5,6,1]
[4,1,8,7,6,2,3,5]=>[5,3,2,6,7,8,1,4]
[4,8,1,7,3,5,2,6]=>[6,2,5,3,7,1,8,4]
[4,8,1,6,3,2,5,7]=>[7,5,2,3,6,1,8,4]
[4,7,1,6,3,2,5,8]=>[8,5,2,3,6,1,7,4]
[6,1,2,3,7,5,4,8]=>[8,4,5,7,3,2,1,6]
[6,8,1,5,3,7,2,4]=>[4,2,7,3,5,1,8,6]
[8,7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7,8]
[1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]
[1,5,8,3,4,7,6,2]=>[2,6,7,4,3,8,5,1]
[7,8,5,2,4,1,6,3]=>[3,6,1,4,2,5,8,7]
[7,1,2,3,5,6,4,8]=>[8,4,6,5,3,2,1,7]
[8,1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1,8]
[8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]
[7,1,8,4,6,3,2,5]=>[5,2,3,6,4,8,1,7]
[6,8,2,4,3,1,5,7]=>[7,5,1,3,4,2,8,6]
[6,7,2,4,3,1,5,8]=>[8,5,1,3,4,2,7,6]
[3,8,1,2,4,5,7,6]=>[6,7,5,4,2,1,8,3]
[3,7,1,8,6,4,2,5]=>[5,2,4,6,8,1,7,3]
[1,6,4,3,7,5,8,2]=>[2,8,5,7,3,4,6,1]
[3,1,2,6,7,5,8,4]=>[4,8,5,7,6,2,1,3]
[3,8,1,7,6,4,2,5]=>[5,2,4,6,7,1,8,3]
[7,6,2,4,3,1,5,8]=>[8,5,1,3,4,2,6,7]
[8,7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7,8]
[8,1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1,8]
[8,1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1,8]
[1,5,7,3,4,6,8,2]=>[2,8,6,4,3,7,5,1]
[8,7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7,8]
[7,1,2,3,5,4,8,6]=>[6,8,4,5,3,2,1,7]
[6,1,2,3,5,8,4,7]=>[7,4,8,5,3,2,1,6]
[6,1,2,3,5,7,4,8]=>[8,4,7,5,3,2,1,6]
[5,1,2,3,7,6,4,8]=>[8,4,6,7,3,2,1,5]
[5,1,2,3,8,6,4,7]=>[7,4,6,8,3,2,1,5]
[1,5,6,3,4,7,8,2]=>[2,8,7,4,3,6,5,1]
[8,6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6,8]
[7,6,2,5,3,1,8,4]=>[4,8,1,3,5,2,6,7]
[7,4,5,2,3,8,6,1]=>[1,6,8,3,2,5,4,7]
[8,2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2,8]
[8,4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4,8]
[5,4,6,3,1,2,8,7]=>[7,8,2,1,3,6,4,5]
[4,6,2,3,1,5,8,7]=>[7,8,5,1,3,2,6,4]
[7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]
[8,2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2,8]
[7,3,4,6,8,5,1,2]=>[2,1,5,8,6,4,3,7]
[4,7,3,2,8,6,1,5]=>[5,1,6,8,2,3,7,4]
[3,7,4,5,1,8,6,2]=>[2,6,8,1,5,4,7,3]
[3,8,2,6,7,4,5,1]=>[1,5,4,7,6,2,8,3]
[4,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,4]
[5,8,2,4,6,7,1,3]=>[3,1,7,6,4,2,8,5]
[6,8,1,3,4,2,7,5]=>[5,7,2,4,3,1,8,6]
[5,8,2,4,3,1,7,6]=>[6,7,1,3,4,2,8,5]
[2,1,7,6,8,5,3,4]=>[4,3,5,8,6,7,1,2]
[3,7,6,1,8,5,2,4]=>[4,2,5,8,1,6,7,3]
[4,7,2,3,8,5,1,6]=>[6,1,5,8,3,2,7,4]
[7,1,3,6,4,8,5,2]=>[2,5,8,4,6,3,1,7]
[7,6,1,4,8,5,2,3]=>[3,2,5,8,4,1,6,7]
[6,2,3,7,8,5,4,1]=>[1,4,5,8,7,3,2,6]
[6,2,3,8,4,5,1,7]=>[7,1,5,4,8,3,2,6]
[7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]
[8,2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2,8]
[6,4,8,3,5,1,7,2]=>[2,7,1,5,3,8,4,6]
[5,4,8,3,6,7,1,2]=>[2,1,7,6,3,8,4,5]
[3,5,1,8,4,6,7,2]=>[2,7,6,4,8,1,5,3]
[3,6,1,8,4,5,2,7]=>[7,2,5,4,8,1,6,3]
[4,6,8,3,5,2,7,1]=>[1,7,2,5,3,8,6,4]
[5,7,8,3,2,4,1,6]=>[6,1,4,2,3,8,7,5]
[4,8,2,3,5,6,1,7]=>[7,1,6,5,3,2,8,4]
[6,8,2,3,1,4,5,7]=>[7,5,4,1,3,2,8,6]
[5,2,7,4,8,3,1,6]=>[6,1,3,8,4,7,2,5]
[3,7,8,2,1,4,6,5]=>[5,6,4,1,2,8,7,3]
[3,7,5,2,8,4,1,6]=>[6,1,4,8,2,5,7,3]
[6,3,2,4,1,8,7,5]=>[5,7,8,1,4,2,3,6]
[7,2,3,4,8,5,1,6]=>[6,1,5,8,4,3,2,7]
[5,7,3,1,4,2,6,8]=>[8,6,2,4,1,3,7,5]
[3,7,4,1,8,2,5,6]=>[6,5,2,8,1,4,7,3]
[6,3,7,4,8,1,2,5]=>[5,2,1,8,4,7,3,6]
[8,3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3,8]
[3,7,4,1,5,6,2,8]=>[8,2,6,5,1,4,7,3]
[1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]
[8,4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4,8]
[8,7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7,8]
[8,3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3,8]
[1,5,3,8,7,6,4,2]=>[2,4,6,7,8,3,5,1]
[7,2,4,8,1,3,6,5]=>[5,6,3,1,8,4,2,7]
[1,2,8,7,5,6,3,4]=>[4,3,6,5,7,8,2,1]
[3,1,8,6,7,5,2,4]=>[4,2,5,7,6,8,1,3]
[1,4,8,6,5,7,2,3]=>[3,2,7,5,6,8,4,1]
[1,6,5,4,8,2,3,7]=>[7,3,2,8,4,5,6,1]
[5,1,6,8,3,4,2,7]=>[7,2,4,3,8,6,1,5]
[6,2,5,1,7,4,3,8]=>[8,3,4,7,1,5,2,6]
[5,2,1,8,7,4,3,6]=>[6,3,4,7,8,1,2,5]
[5,2,6,3,8,1,4,7]=>[7,4,1,8,3,6,2,5]
[5,2,8,3,4,6,1,7]=>[7,1,6,4,3,8,2,5]
[6,2,8,4,3,1,7,5]=>[5,7,1,3,4,8,2,6]
[7,2,8,1,3,6,5,4]=>[4,5,6,3,1,8,2,7]
[7,3,8,1,4,6,2,5]=>[5,2,6,4,1,8,3,7]
[1,7,8,5,4,6,3,2]=>[2,3,6,4,5,8,7,1]
[1,5,8,4,6,3,7,2]=>[2,7,3,6,4,8,5,1]
[5,3,8,4,1,2,7,6]=>[6,7,2,1,4,8,3,5]
[5,8,4,3,6,2,1,7]=>[7,1,2,6,3,4,8,5]
[1,8,3,6,5,2,7,4]=>[4,7,2,5,6,3,8,1]
[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]
[3,8,1,4,6,7,5,2]=>[2,5,7,6,4,1,8,3]
[3,8,2,5,1,7,6,4]=>[4,6,7,1,5,2,8,3]
[4,3,8,2,5,1,6,7]=>[7,6,1,5,2,8,3,4]
[8,2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2,8]
[8,2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2,8]
[8,1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1,8]
[6,1,5,2,4,7,8,3]=>[3,8,7,4,2,5,1,6]
[4,1,8,5,2,7,6,3]=>[3,6,7,2,5,8,1,4]
[4,8,5,1,3,6,2,7]=>[7,2,6,3,1,5,8,4]
[3,6,1,5,7,2,8,4]=>[4,8,2,7,5,1,6,3]
[6,3,1,2,8,5,7,4]=>[4,7,5,8,2,1,3,6]
[4,1,8,2,3,7,5,6]=>[6,5,7,3,2,8,1,4]
[5,3,8,7,2,1,4,6]=>[6,4,1,2,7,8,3,5]
[6,7,3,5,1,4,8,2]=>[2,8,4,1,5,3,7,6]
[6,4,7,5,8,2,3,1]=>[1,3,2,8,5,7,4,6]
[5,7,8,4,2,6,3,1]=>[1,3,6,2,4,8,7,5]
[5,4,7,6,2,8,3,1]=>[1,3,8,2,6,7,4,5]
[5,7,4,1,6,8,3,2]=>[2,3,8,6,1,4,7,5]
[6,8,4,5,7,1,3,2]=>[2,3,1,7,5,4,8,6]
[5,8,4,6,1,7,3,2]=>[2,3,7,1,6,4,8,5]
[5,6,1,4,7,8,3,2]=>[2,3,8,7,4,1,6,5]
[5,6,7,2,4,8,3,1]=>[1,3,8,4,2,7,6,5]
[5,6,3,7,4,8,2,1]=>[1,2,8,4,7,3,6,5]
[5,3,6,7,4,8,2,1]=>[1,2,8,4,7,6,3,5]
[5,3,2,8,6,7,4,1]=>[1,4,7,6,8,2,3,5]
[5,4,8,2,6,7,3,1]=>[1,3,7,6,2,8,4,5]
[5,4,8,6,2,7,3,1]=>[1,3,7,2,6,8,4,5]
[6,4,8,5,7,2,3,1]=>[1,3,2,7,5,8,4,6]
[7,4,8,5,6,2,1,3]=>[3,1,2,6,5,8,4,7]
[4,6,8,5,7,2,3,1]=>[1,3,2,7,5,8,6,4]
[5,6,3,8,4,7,2,1]=>[1,2,7,4,8,3,6,5]
[4,6,3,5,8,7,2,1]=>[1,2,7,8,5,3,6,4]
[4,6,3,2,8,7,5,1]=>[1,5,7,8,2,3,6,4]
[5,6,3,8,2,7,4,1]=>[1,4,7,2,8,3,6,5]
[3,6,5,8,7,2,4,1]=>[1,4,2,7,8,5,6,3]
[5,3,6,8,2,7,4,1]=>[1,4,7,2,8,6,3,5]
[4,3,7,2,8,6,5,1]=>[1,5,6,8,2,7,3,4]
[5,4,7,2,6,8,3,1]=>[1,3,8,6,2,7,4,5]
[5,3,2,7,6,8,4,1]=>[1,4,8,6,7,2,3,5]
[6,7,3,8,5,2,4,1]=>[1,4,2,5,8,3,7,6]
[6,3,2,7,5,4,8,1]=>[1,8,4,5,7,2,3,6]
[6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]
[6,2,7,5,1,4,8,3]=>[3,8,4,1,5,7,2,6]
[2,7,8,5,3,6,1,4]=>[4,1,6,3,5,8,7,2]
[6,3,7,8,4,2,5,1]=>[1,5,2,4,8,7,3,6]
[3,5,7,8,4,6,2,1]=>[1,2,6,4,8,7,5,3]
[5,3,7,8,4,6,2,1]=>[1,2,6,4,8,7,3,5]
[5,7,8,2,4,6,3,1]=>[1,3,6,4,2,8,7,5]
[2,5,8,4,3,7,6,1]=>[1,6,7,3,4,8,5,2]
[2,6,8,4,7,3,5,1]=>[1,5,3,7,4,8,6,2]
[3,7,4,8,6,2,1,5]=>[5,1,2,6,8,4,7,3]
[3,6,4,8,7,2,5,1]=>[1,5,2,7,8,4,6,3]
[3,5,4,8,2,7,6,1]=>[1,6,7,2,8,4,5,3]
[4,3,7,5,8,6,2,1]=>[1,2,6,8,5,7,3,4]
[4,5,7,3,8,6,2,1]=>[1,2,6,8,3,7,5,4]
[3,5,6,8,4,7,2,1]=>[1,2,7,4,8,6,5,3]
[6,3,1,8,7,5,4,2]=>[2,4,5,7,8,1,3,6]
[5,4,8,1,7,6,3,2]=>[2,3,6,7,1,8,4,5]
[5,8,4,1,7,6,3,2]=>[2,3,6,7,1,4,8,5]
[7,5,4,1,8,6,3,2]=>[2,3,6,8,1,4,5,7]
[8,5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5,8]
[1,8,2,5,6,3,4,7]=>[7,4,3,6,5,2,8,1]
[7,2,8,4,5,1,3,6]=>[6,3,1,5,4,8,2,7]
[1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]
[1,6,7,4,3,5,2,8]=>[8,2,5,3,4,7,6,1]
[1,8,5,2,3,7,4,6]=>[6,4,7,3,2,5,8,1]
[1,8,2,5,3,6,7,4]=>[4,7,6,3,5,2,8,1]
[2,6,8,4,3,5,7,1]=>[1,7,5,3,4,8,6,2]
[7,5,8,3,2,1,6,4]=>[4,6,1,2,3,8,5,7]
[7,2,8,4,1,5,6,3]=>[3,6,5,1,4,8,2,7]
[7,5,8,1,2,6,3,4]=>[4,3,6,2,1,8,5,7]
[1,6,7,4,3,2,8,5]=>[5,8,2,3,4,7,6,1]
[1,5,2,6,4,7,8,3]=>[3,8,7,4,6,2,5,1]
[1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]
[6,2,5,7,1,4,8,3]=>[3,8,4,1,7,5,2,6]
[6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]
[7,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,7]
[2,7,8,3,6,5,1,4]=>[4,1,5,6,3,8,7,2]
[2,7,8,5,4,6,3,1]=>[1,3,6,4,5,8,7,2]
[2,6,5,8,3,4,1,7]=>[7,1,4,3,8,5,6,2]
[2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]
[6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]
[6,2,5,8,4,1,3,7]=>[7,3,1,4,8,5,2,6]
[2,7,8,4,6,1,3,5]=>[5,3,1,6,4,8,7,2]
[6,1,2,8,3,7,4,5]=>[5,4,7,3,8,2,1,6]
[6,1,2,8,5,4,7,3]=>[3,7,4,5,8,2,1,6]
[6,2,5,7,8,1,3,4]=>[4,3,1,8,7,5,2,6]
[1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]
[2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]
[1,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,1]
[1,3,2,7,8,5,6,4]=>[4,6,5,8,7,2,3,1]
[1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]
[6,5,2,1,8,7,3,4]=>[4,3,7,8,1,2,5,6]
[2,6,5,3,7,8,4,1]=>[1,4,8,7,3,5,6,2]
[6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]
[6,5,2,3,8,7,1,4]=>[4,1,7,8,3,2,5,6]
[5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]
[5,1,4,2,3,7,8,6]=>[6,8,7,3,2,4,1,5]
[1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]
[5,1,6,3,8,2,7,4]=>[4,7,2,8,3,6,1,5]
[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]
[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]
[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]
[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]
[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]
[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]
[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]
[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]
[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]
[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]
[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]
[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]
[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]
[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]
[2,4,8,5,3,7,1,6]=>[6,1,7,3,5,8,4,2]
[2,4,1,8,5,3,7,6]=>[6,7,3,5,8,1,4,2]
[2,4,8,6,3,1,7,5]=>[5,7,1,3,6,8,4,2]
[3,4,6,8,2,1,7,5]=>[5,7,1,2,8,6,4,3]
[3,4,1,5,8,2,7,6]=>[6,7,2,8,5,1,4,3]
[8,1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1,8]
[3,4,1,5,2,8,7,6]=>[6,7,8,2,5,1,4,3]
[3,4,6,2,1,8,7,5]=>[5,7,8,1,2,6,4,3]
[3,5,6,2,1,7,8,4]=>[4,8,7,1,2,6,5,3]
[3,4,6,2,7,8,1,5]=>[5,1,8,7,2,6,4,3]
[8,1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1,8]
[8,1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1,8]
[3,5,6,2,1,7,4,8]=>[8,4,7,1,2,6,5,3]
[8,1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1,8]
[8,1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1,8]
[3,4,1,6,8,7,2,5]=>[5,2,7,8,6,1,4,3]
[3,5,6,1,8,7,2,4]=>[4,2,7,8,1,6,5,3]
[2,1,3,8,6,7,4,5]=>[5,4,7,6,8,3,1,2]
[8,1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1,8]
[2,3,8,6,7,1,5,4]=>[4,5,1,7,6,8,3,2]
[2,4,1,8,6,7,5,3]=>[3,5,7,6,8,1,4,2]
[2,5,8,6,1,7,4,3]=>[3,4,7,1,6,8,5,2]
[3,5,6,1,8,7,4,2]=>[2,4,7,8,1,6,5,3]
[3,4,1,6,8,7,5,2]=>[2,5,7,8,6,1,4,3]
[3,4,6,8,7,1,5,2]=>[2,5,1,7,8,6,4,3]
[8,1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1,8]
[3,5,1,6,7,8,4,2]=>[2,4,8,7,6,1,5,3]
[4,5,6,1,7,8,3,2]=>[2,3,8,7,1,6,5,4]
[4,5,6,1,7,3,8,2]=>[2,8,3,7,1,6,5,4]
[3,5,1,6,7,4,8,2]=>[2,8,4,7,6,1,5,3]
[8,1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1,8]
[8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]
[3,5,1,6,7,4,2,8]=>[8,2,4,7,6,1,5,3]
[4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]
[6,5,8,7,4,3,1,2]=>[2,1,3,4,7,8,5,6]
[6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6]
[6,1,4,8,7,5,2,3]=>[3,2,5,7,8,4,1,6]
[1,6,4,8,7,5,2,3]=>[3,2,5,7,8,4,6,1]
[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]
[8,1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1,8]
[7,6,2,1,4,8,3,5]=>[5,3,8,4,1,2,6,7]
[6,4,1,7,8,5,2,3]=>[3,2,5,8,7,1,4,6]
[7,6,1,2,4,8,3,5]=>[5,3,8,4,2,1,6,7]
[7,6,1,3,4,8,2,5]=>[5,2,8,4,3,1,6,7]
[8,1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1,8]
[1,8,6,3,4,7,2,5]=>[5,2,7,4,3,6,8,1]
[1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]
[7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]
[2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]
[2,8,6,3,4,7,1,5]=>[5,1,7,4,3,6,8,2]
[2,8,6,1,4,7,3,5]=>[5,3,7,4,1,6,8,2]
[7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]
[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]
[3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]
[2,5,8,4,7,3,1,6]=>[6,1,3,7,4,8,5,2]
[2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]
[6,8,3,2,4,7,1,5]=>[5,1,7,4,2,3,8,6]
[3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]
[3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]
[1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]
[1,5,8,4,7,3,2,6]=>[6,2,3,7,4,8,5,1]
[5,1,8,4,7,3,2,6]=>[6,2,3,7,4,8,1,5]
[5,8,2,4,7,3,1,6]=>[6,1,3,7,4,2,8,5]
[6,8,4,3,7,5,1,2]=>[2,1,5,7,3,4,8,6]
[8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8]
[8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]
[8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]
[1,8,5,4,7,3,2,6]=>[6,2,3,7,4,5,8,1]
[1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]
[8,6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6,8]
[8,6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6,8]
[8,6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6,8]
[5,3,7,4,6,8,2,1]=>[1,2,8,6,4,7,3,5]
[4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]
[1,4,3,2,7,8,5,6]=>[6,5,8,7,2,3,4,1]
[2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]
[2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]
[2,8,5,4,7,3,1,6]=>[6,1,3,7,4,5,8,2]
[5,7,3,4,6,8,2,1]=>[1,2,8,6,4,3,7,5]
[8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]
[7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]
[3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]
[8,1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1,8]
[8,6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6,8]
[7,1,8,6,4,3,5,2]=>[2,5,3,4,6,8,1,7]
[7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]
[7,3,6,5,2,1,4,8]=>[8,4,1,2,5,6,3,7]
[8,3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3,8]
[7,3,6,5,2,1,8,4]=>[4,8,1,2,5,6,3,7]
[7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]
[5,4,2,8,1,3,7,6]=>[6,7,3,1,8,2,4,5]
[5,8,2,6,4,1,3,7]=>[7,3,1,4,6,2,8,5]
[6,4,2,5,1,8,3,7]=>[7,3,8,1,5,2,4,6]
[6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]
[2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]
[2,3,5,8,1,4,7,6]=>[6,7,4,1,8,5,3,2]
[2,3,6,8,1,5,7,4]=>[4,7,5,1,8,6,3,2]
[6,3,8,5,2,7,1,4]=>[4,1,7,2,5,8,3,6]
[6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]
[2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]
[2,8,7,6,3,1,5,4]=>[4,5,1,3,6,7,8,2]
[2,5,8,7,6,3,1,4]=>[4,1,3,6,7,8,5,2]
[2,4,8,1,6,5,7,3]=>[3,7,5,6,1,8,4,2]
[2,8,7,3,6,1,4,5]=>[5,4,1,6,3,7,8,2]
[7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]
[8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]
[2,3,6,8,1,4,7,5]=>[5,7,4,1,8,6,3,2]
[2,7,8,6,3,1,4,5]=>[5,4,1,3,6,8,7,2]
[7,3,8,5,2,1,4,6]=>[6,4,1,2,5,8,3,7]
[2,3,6,1,8,4,7,5]=>[5,7,4,8,1,6,3,2]
[2,8,6,3,1,4,5,7]=>[7,5,4,1,3,6,8,2]
[8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]
[2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]
[2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]
[2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]
[8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]
[3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]
[2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]
[2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]
[2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]
[4,7,6,1,8,5,2,3]=>[3,2,5,8,1,6,7,4]
[3,7,5,8,1,2,6,4]=>[4,6,2,1,8,5,7,3]
[7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]
[7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]
[7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]
[7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]
[6,8,4,5,1,7,2,3]=>[3,2,7,1,5,4,8,6]
[4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]
[5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]
[5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]
[5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]
[8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]
[8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]
[3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]
[4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]
[8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]
[4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]
[4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]
[3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]
[5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]
[8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]
[6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]
[5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]
[6,4,7,1,2,8,5,3]=>[3,5,8,2,1,7,4,6]
[6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]
[6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]
[8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]
[8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]
[6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]
[6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]
[6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]
[5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]
[5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]
[6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]
[7,3,8,1,5,2,4,6]=>[6,4,2,5,1,8,3,7]
[4,1,7,5,3,6,2,8]=>[8,2,6,3,5,7,1,4]
[1,8,4,2,3,6,7,5]=>[5,7,6,3,2,4,8,1]
[2,5,8,3,4,6,7,1]=>[1,7,6,4,3,8,5,2]
[4,1,7,2,3,6,8,5]=>[5,8,6,3,2,7,1,4]
[4,6,2,1,5,7,8,3]=>[3,8,7,5,1,2,6,4]
[4,5,2,3,1,7,8,6]=>[6,8,7,1,3,2,5,4]
[3,2,6,7,4,1,8,5]=>[5,8,1,4,7,6,2,3]
[5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]
[6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]
[2,6,8,3,4,7,1,5]=>[5,1,7,4,3,8,6,2]
[4,6,2,7,5,1,3,8]=>[8,3,1,5,7,2,6,4]
[2,6,3,1,8,4,5,7]=>[7,5,4,8,1,3,6,2]
[2,4,3,7,8,1,5,6]=>[6,5,1,8,7,3,4,2]
[5,3,2,7,4,8,1,6]=>[6,1,8,4,7,2,3,5]
[5,1,2,7,6,8,4,3]=>[3,4,8,6,7,2,1,5]
[2,6,3,1,8,7,4,5]=>[5,4,7,8,1,3,6,2]
[3,5,6,4,7,8,1,2]=>[2,1,8,7,4,6,5,3]
[5,3,6,4,2,8,7,1]=>[1,7,8,2,4,6,3,5]
[5,4,2,3,7,8,6,1]=>[1,6,8,7,3,2,4,5]
[4,1,8,2,5,7,3,6]=>[6,3,7,5,2,8,1,4]
[3,1,8,4,7,2,5,6]=>[6,5,2,7,4,8,1,3]
[6,2,3,8,4,1,7,5]=>[5,7,1,4,8,3,2,6]
[2,6,4,1,5,3,8,7]=>[7,8,3,5,1,4,6,2]
[3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]
[2,5,4,1,7,6,8,3]=>[3,8,6,7,1,4,5,2]
[6,2,1,4,7,8,3,5]=>[5,3,8,7,4,1,2,6]
[2,6,5,1,7,8,3,4]=>[4,3,8,7,1,5,6,2]
[4,7,5,2,1,6,3,8]=>[8,3,6,1,2,5,7,4]
[4,2,3,7,8,1,6,5]=>[5,6,1,8,7,3,2,4]
[5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]
[6,8,3,1,5,2,4,7]=>[7,4,2,5,1,3,8,6]
[4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]
[5,1,7,4,2,6,3,8]=>[8,3,6,2,4,7,1,5]
[6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]
[6,8,5,2,1,7,3,4]=>[4,3,7,1,2,5,8,6]
[5,8,2,1,4,7,3,6]=>[6,3,7,4,1,2,8,5]
[6,8,3,2,5,1,7,4]=>[4,7,1,5,2,3,8,6]
[6,8,4,3,1,5,7,2]=>[2,7,5,1,3,4,8,6]
[6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]
[6,8,3,2,1,4,5,7]=>[7,5,4,1,2,3,8,6]
[5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]
[5,2,1,8,3,6,7,4]=>[4,7,6,3,8,1,2,5]
[4,3,8,1,6,2,7,5]=>[5,7,2,6,1,8,3,4]
[5,4,7,2,1,6,8,3]=>[3,8,6,1,2,7,4,5]
[5,2,1,7,3,4,8,6]=>[6,8,4,3,7,1,2,5]
[6,4,3,1,7,5,8,2]=>[2,8,5,7,1,3,4,6]
[5,3,1,7,2,6,8,4]=>[4,8,6,2,7,1,3,5]
[3,2,1,7,6,4,8,5]=>[5,8,4,6,7,1,2,3]
[4,2,1,6,5,8,3,7]=>[7,3,8,5,6,1,2,4]
[4,2,1,8,5,7,3,6]=>[6,3,7,5,8,1,2,4]
[7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]
[7,4,2,1,8,5,6,3]=>[3,6,5,8,1,2,4,7]
[6,3,2,1,7,4,5,8]=>[8,5,4,7,1,2,3,6]
[6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]
[7,5,2,1,8,6,3,4]=>[4,3,6,8,1,2,5,7]
[6,1,8,4,2,7,3,5]=>[5,3,7,2,4,8,1,6]
[6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]
[5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]
[5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]
[5,3,2,8,6,1,4,7]=>[7,4,1,6,8,2,3,5]
[6,3,2,8,7,1,4,5]=>[5,4,1,7,8,2,3,6]
[4,2,8,1,7,3,5,6]=>[6,5,3,7,1,8,2,4]
[4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]
[2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]
[4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]
[4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]
[4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]
[4,3,1,7,2,8,5,6]=>[6,5,8,2,7,1,3,4]
[5,4,1,7,2,8,6,3]=>[3,6,8,2,7,1,4,5]
[6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]
[6,4,2,1,7,8,3,5]=>[5,3,8,7,1,2,4,6]
[5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]
[5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]
[6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]
[5,3,2,6,8,1,7,4]=>[4,7,1,8,6,2,3,5]
[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]
[3,2,1,4,6,8,5,7]=>[7,5,8,6,4,1,2,3]
[4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]
[5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]
[8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]
[3,8,6,4,5,7,1,2]=>[2,1,7,5,4,6,8,3]
[5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]
[6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]
[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]
[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]
[5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]
[5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]
[5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]
[6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]
[5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]
[6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]
[5,4,2,7,3,1,8,6]=>[6,8,1,3,7,2,4,5]
[6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]
[6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]
[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]
[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]
[7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]
[7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]
[6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]
[7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]
[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]
[5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]
[5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]
[5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]
[6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]
[6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]
[6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]
[6,1,5,4,3,2,8,7]=>[7,8,2,3,4,5,1,6]
[8,7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7,8]
[8,1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1,8]
[8,4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4,8]
[7,8,6,2,5,3,1,4]=>[4,1,3,5,2,6,8,7]
[6,1,3,5,2,8,4,7]=>[7,4,8,2,5,3,1,6]
[8,1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1,8]
[4,3,8,7,5,2,1,6]=>[6,1,2,5,7,8,3,4]
[6,7,1,8,5,3,4,2]=>[2,4,3,5,8,1,7,6]
[2,7,6,4,8,3,5,1]=>[1,5,3,8,4,6,7,2]
[6,5,2,7,1,4,8,3]=>[3,8,4,1,7,2,5,6]
[7,4,6,1,3,2,8,5]=>[5,8,2,3,1,6,4,7]
[7,5,2,1,3,8,4,6]=>[6,4,8,3,1,2,5,7]
[8,4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4,8]
[7,4,1,5,6,3,8,2]=>[2,8,3,6,5,1,4,7]
[3,4,7,5,6,1,8,2]=>[2,8,1,6,5,7,4,3]
[2,4,7,5,6,3,8,1]=>[1,8,3,6,5,7,4,2]
[5,4,1,7,6,2,8,3]=>[3,8,2,6,7,1,4,5]
[3,5,6,7,1,4,8,2]=>[2,8,4,1,7,6,5,3]
[2,7,6,1,3,4,8,5]=>[5,8,4,3,1,6,7,2]
[5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]
[4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]
[8,6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6,8]
[2,7,4,5,3,8,1,6]=>[6,1,8,3,5,4,7,2]
[6,8,7,1,3,2,5,4]=>[4,5,2,3,1,7,8,6]
[2,8,6,5,7,1,4,3]=>[3,4,1,7,5,6,8,2]
[5,8,4,3,2,6,7,1]=>[1,7,6,2,3,4,8,5]
[1,8,5,6,2,4,7,3]=>[3,7,4,2,6,5,8,1]
[8,1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1,8]
[6,4,8,1,3,2,7,5]=>[5,7,2,3,1,8,4,6]
[1,4,5,2,8,6,7,3]=>[3,7,6,8,2,5,4,1]
[2,3,1,7,8,6,4,5]=>[5,4,6,8,7,1,3,2]
[3,5,7,6,2,8,1,4]=>[4,1,8,2,6,7,5,3]
[4,5,6,1,2,8,7,3]=>[3,7,8,2,1,6,5,4]
[5,4,1,2,8,6,7,3]=>[3,7,6,8,2,1,4,5]
[8,4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4,8]
[3,1,2,6,8,4,7,5]=>[5,7,4,8,6,2,1,3]
[5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]
[1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]
[4,6,7,8,3,1,5,2]=>[2,5,1,3,8,7,6,4]
[7,6,2,8,4,3,1,5]=>[5,1,3,4,8,2,6,7]
[5,2,8,6,3,4,7,1]=>[1,7,4,3,6,8,2,5]
[5,6,8,4,3,2,7,1]=>[1,7,2,3,4,8,6,5]
[5,3,8,1,7,2,4,6]=>[6,4,2,7,1,8,3,5]
[3,6,7,8,4,2,1,5]=>[5,1,2,4,8,7,6,3]
[6,5,1,8,4,3,7,2]=>[2,7,3,4,8,1,5,6]
[6,3,8,4,2,1,7,5]=>[5,7,1,2,4,8,3,6]
[2,5,8,3,1,6,7,4]=>[4,7,6,1,3,8,5,2]
[3,5,8,1,2,6,7,4]=>[4,7,6,2,1,8,5,3]
[3,2,8,1,5,6,7,4]=>[4,7,6,5,1,8,2,3]
[1,5,8,3,2,6,7,4]=>[4,7,6,2,3,8,5,1]
[1,3,8,6,2,4,7,5]=>[5,7,4,2,6,8,3,1]
[3,2,7,8,4,6,1,5]=>[5,1,6,4,8,7,2,3]
[5,1,8,3,4,6,7,2]=>[2,7,6,4,3,8,1,5]
[4,8,7,2,1,6,3,5]=>[5,3,6,1,2,7,8,4]
[2,8,1,6,3,4,7,5]=>[5,7,4,3,6,1,8,2]
[8,3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3,8]
[6,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,6]
[8,4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4,8]
[2,4,5,8,3,6,1,7]=>[7,1,6,3,8,5,4,2]
[3,5,8,1,2,6,4,7]=>[7,4,6,2,1,8,5,3]
[8,6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6,8]
[8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]
[5,8,6,1,3,4,2,7]=>[7,2,4,3,1,6,8,5]
[5,8,4,6,1,3,2,7]=>[7,2,3,1,6,4,8,5]
[7,3,4,5,2,8,1,6]=>[6,1,8,2,5,4,3,7]
[5,7,4,3,6,1,8,2]=>[2,8,1,6,3,4,7,5]
[2,6,4,3,7,8,5,1]=>[1,5,8,7,3,4,6,2]
[7,4,1,8,3,2,5,6]=>[6,5,2,3,8,1,4,7]
[6,2,1,7,8,4,5,3]=>[3,5,4,8,7,1,2,6]
[7,6,3,1,5,4,8,2]=>[2,8,4,5,1,3,6,7]
[2,4,6,5,1,7,8,3]=>[3,8,7,1,5,6,4,2]
[1,4,7,5,6,8,2,3]=>[3,2,8,6,5,7,4,1]
[1,4,7,6,5,8,2,3]=>[3,2,8,5,6,7,4,1]
[3,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,3]
[5,6,1,7,4,2,8,3]=>[3,8,2,4,7,1,6,5]
[3,7,4,8,1,2,6,5]=>[5,6,2,1,8,4,7,3]
[6,3,5,7,8,1,4,2]=>[2,4,1,8,7,5,3,6]
[3,6,5,7,1,8,4,2]=>[2,4,8,1,7,5,6,3]
[6,4,7,8,2,1,3,5]=>[5,3,1,2,8,7,4,6]
[6,7,3,8,4,1,2,5]=>[5,2,1,4,8,3,7,6]
[2,7,8,3,4,6,1,5]=>[5,1,6,4,3,8,7,2]
[7,5,8,4,1,3,2,6]=>[6,2,3,1,4,8,5,7]
[4,7,5,8,3,1,2,6]=>[6,2,1,3,8,5,7,4]
[3,6,7,4,8,1,2,5]=>[5,2,1,8,4,7,6,3]
[5,7,3,1,6,8,4,2]=>[2,4,8,6,1,3,7,5]
[2,7,3,1,8,6,4,5]=>[5,4,6,8,1,3,7,2]
[2,8,4,3,1,5,7,6]=>[6,7,5,1,3,4,8,2]
[4,8,1,2,3,5,7,6]=>[6,7,5,3,2,1,8,4]
[7,6,8,1,2,4,3,5]=>[5,3,4,2,1,8,6,7]
[7,6,8,5,1,3,2,4]=>[4,2,3,1,5,8,6,7]
[2,8,5,4,6,1,7,3]=>[3,7,1,6,4,5,8,2]
[8,4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4,8]
[8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]
[6,7,1,3,5,2,8,4]=>[4,8,2,5,3,1,7,6]
[5,7,2,3,6,8,1,4]=>[4,1,8,6,3,2,7,5]
[8,5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5,8]
[3,4,6,7,5,8,1,2]=>[2,1,8,5,7,6,4,3]
[3,4,5,7,6,1,8,2]=>[2,8,1,6,7,5,4,3]
[2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2]
[3,8,5,1,6,2,7,4]=>[4,7,2,6,1,5,8,3]
[2,5,1,3,6,8,7,4]=>[4,7,8,6,3,1,5,2]
[5,4,6,1,3,7,8,2]=>[2,8,7,3,1,6,4,5]
[6,3,5,7,1,4,8,2]=>[2,8,4,1,7,5,3,6]
[7,3,4,6,8,1,5,2]=>[2,5,1,8,6,4,3,7]
[7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]
[3,7,6,4,1,8,2,5]=>[5,2,8,1,4,6,7,3]
[3,7,8,4,1,5,6,2]=>[2,6,5,1,4,8,7,3]
[8,7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7,8]
[3,5,8,6,7,4,2,1]=>[1,2,4,7,6,8,5,3]
[5,8,1,6,7,3,4,2]=>[2,4,3,7,6,1,8,5]
[6,7,2,5,1,8,4,3]=>[3,4,8,1,5,2,7,6]
[5,8,2,1,6,7,4,3]=>[3,4,7,6,1,2,8,5]
[4,5,2,8,6,3,7,1]=>[1,7,3,6,8,2,5,4]
[3,6,1,2,5,8,4,7]=>[7,4,8,5,2,1,6,3]
[1,4,5,8,2,3,7,6]=>[6,7,3,2,8,5,4,1]
[1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]
[1,5,2,4,6,8,3,7]=>[7,3,8,6,4,2,5,1]
[3,6,1,5,8,2,4,7]=>[7,4,2,8,5,1,6,3]
[2,6,5,1,4,8,3,7]=>[7,3,8,4,1,5,6,2]
[5,2,6,1,4,8,3,7]=>[7,3,8,4,1,6,2,5]
[2,5,1,8,4,7,3,6]=>[6,3,7,4,8,1,5,2]
[2,7,1,4,3,6,8,5]=>[5,8,6,3,4,1,7,2]
[1,3,7,5,8,2,4,6]=>[6,4,2,8,5,7,3,1]
[8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]
[2,5,4,8,1,3,7,6]=>[6,7,3,1,8,4,5,2]
[2,4,1,3,8,6,7,5]=>[5,7,6,8,3,1,4,2]
[8,4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4,8]
[1,7,3,5,8,2,6,4]=>[4,6,2,8,5,3,7,1]
[1,8,4,2,6,7,3,5]=>[5,3,7,6,2,4,8,1]
[3,1,6,8,7,2,4,5]=>[5,4,2,7,8,6,1,3]
[7,2,1,6,8,3,4,5]=>[5,4,3,8,6,1,2,7]
[3,1,7,6,8,2,4,5]=>[5,4,2,8,6,7,1,3]
[4,1,7,2,6,8,3,5]=>[5,3,8,6,2,7,1,4]
[5,1,7,2,3,6,8,4]=>[4,8,6,3,2,7,1,5]
[7,2,1,6,3,5,8,4]=>[4,8,5,3,6,1,2,7]
[2,6,1,7,3,5,8,4]=>[4,8,5,3,7,1,6,2]
[7,1,2,5,3,6,8,4]=>[4,8,6,3,5,2,1,7]
[5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]
[8,1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1,8]
[7,3,1,2,4,6,8,5]=>[5,8,6,4,2,1,3,7]
[1,8,3,4,7,2,5,6]=>[6,5,2,7,4,3,8,1]
[3,5,8,1,2,7,4,6]=>[6,4,7,2,1,8,5,3]
[3,6,8,1,2,4,7,5]=>[5,7,4,2,1,8,6,3]
[4,1,3,8,7,2,6,5]=>[5,6,2,7,8,3,1,4]
[1,3,7,4,8,2,6,5]=>[5,6,2,8,4,7,3,1]
[1,4,6,8,2,3,7,5]=>[5,7,3,2,8,6,4,1]
[3,5,8,1,7,2,4,6]=>[6,4,2,7,1,8,5,3]
[2,6,8,1,7,3,4,5]=>[5,4,3,7,1,8,6,2]
[6,1,5,8,2,3,7,4]=>[4,7,3,2,8,5,1,6]
[1,8,3,2,7,5,6,4]=>[4,6,5,7,2,3,8,1]
[3,1,7,2,8,5,6,4]=>[4,6,5,8,2,7,1,3]
[2,6,7,3,8,1,5,4]=>[4,5,1,8,3,7,6,2]
[8,4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4,8]
[3,7,2,8,6,1,5,4]=>[4,5,1,6,8,2,7,3]
[6,2,3,8,7,1,5,4]=>[4,5,1,7,8,3,2,6]
[5,1,7,8,4,2,6,3]=>[3,6,2,4,8,7,1,5]
[5,1,8,7,4,2,6,3]=>[3,6,2,4,7,8,1,5]
[4,7,2,8,3,6,5,1]=>[1,5,6,3,8,2,7,4]
[4,1,7,8,5,3,6,2]=>[2,6,3,5,8,7,1,4]
[5,1,7,4,8,3,6,2]=>[2,6,3,8,4,7,1,5]
[4,1,8,7,5,3,6,2]=>[2,6,3,5,7,8,1,4]
[4,8,2,7,3,6,5,1]=>[1,5,6,3,7,2,8,4]
[4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]
[6,8,2,4,3,7,5,1]=>[1,5,7,3,4,2,8,6]
[6,7,2,4,3,8,5,1]=>[1,5,8,3,4,2,7,6]
[6,8,2,7,3,5,4,1]=>[1,4,5,3,7,2,8,6]
[3,8,7,2,4,1,5,6]=>[6,5,1,4,2,7,8,3]
[3,7,8,2,4,1,5,6]=>[6,5,1,4,2,8,7,3]
[3,6,8,2,4,5,7,1]=>[1,7,5,4,2,8,6,3]
[3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]
[6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]
[8,6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6,8]
[8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]
[5,4,3,1,6,2,8,7]=>[7,8,2,6,1,3,4,5]
[8,3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3,8]
[6,3,4,1,8,5,2,7]=>[7,2,5,8,1,4,3,6]
[3,8,5,2,7,1,6,4]=>[4,6,1,7,2,5,8,3]
[2,8,6,7,5,3,4,1]=>[1,4,3,5,7,6,8,2]
[2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]
[3,6,5,8,2,4,7,1]=>[1,7,4,2,8,5,6,3]
[5,2,1,8,7,3,4,6]=>[6,4,3,7,8,1,2,5]
[6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]
[4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]
[6,2,7,1,8,3,5,4]=>[4,5,3,8,1,7,2,6]
[2,7,5,4,8,3,6,1]=>[1,6,3,8,4,5,7,2]
[8,7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7,8]
[8,4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4,8]
[7,1,6,2,3,8,5,4]=>[4,5,8,3,2,6,1,7]
[4,8,1,3,2,7,5,6]=>[6,5,7,2,3,1,8,4]
[3,8,1,4,7,5,2,6]=>[6,2,5,7,4,1,8,3]
[6,3,8,7,4,5,1,2]=>[2,1,5,4,7,8,3,6]
[6,1,4,8,5,2,3,7]=>[7,3,2,5,8,4,1,6]
[8,5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5,8]
[4,6,7,8,2,3,5,1]=>[1,5,3,2,8,7,6,4]
[8,7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7,8]
[7,6,1,3,5,2,8,4]=>[4,8,2,5,3,1,6,7]
[5,8,3,2,4,6,1,7]=>[7,1,6,4,2,3,8,5]
[8,2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2,8]
[4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]
[2,1,8,6,4,3,7,5]=>[5,7,3,4,6,8,1,2]
[2,1,7,6,5,3,8,4]=>[4,8,3,5,6,7,1,2]
[2,7,6,1,3,5,8,4]=>[4,8,5,3,1,6,7,2]
[7,2,5,4,6,1,8,3]=>[3,8,1,6,4,5,2,7]
[4,7,6,1,2,5,8,3]=>[3,8,5,2,1,6,7,4]
[2,4,1,7,6,8,5,3]=>[3,5,8,6,7,1,4,2]
[3,4,1,7,8,5,6,2]=>[2,6,5,8,7,1,4,3]
[7,5,4,3,1,8,6,2]=>[2,6,8,1,3,4,5,7]
[8,5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5,8]
[8,4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4,8]
[6,3,5,4,1,7,8,2]=>[2,8,7,1,4,5,3,6]
[4,1,3,6,7,5,8,2]=>[2,8,5,7,6,3,1,4]
[1,7,5,3,8,2,4,6]=>[6,4,2,8,3,5,7,1]
[1,7,2,4,5,8,3,6]=>[6,3,8,5,4,2,7,1]
[8,2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2,8]
[1,7,4,5,8,3,2,6]=>[6,2,3,8,5,4,7,1]
[2,6,4,7,8,3,5,1]=>[1,5,3,8,7,4,6,2]
[2,6,4,7,8,3,1,5]=>[5,1,3,8,7,4,6,2]
[1,2,6,4,7,8,3,5]=>[5,3,8,7,4,6,2,1]
[2,7,4,5,8,1,3,6]=>[6,3,1,8,5,4,7,2]
[2,7,5,3,1,8,4,6]=>[6,4,8,1,3,5,7,2]
[6,1,4,7,8,3,5,2]=>[2,5,3,8,7,4,1,6]
[3,6,4,7,8,1,5,2]=>[2,5,1,8,7,4,6,3]
[4,3,6,7,1,8,5,2]=>[2,5,8,1,7,6,3,4]
[4,3,6,7,1,8,2,5]=>[5,2,8,1,7,6,3,4]
[3,6,4,7,8,1,2,5]=>[5,2,1,8,7,4,6,3]
[2,3,6,4,1,7,8,5]=>[5,8,7,1,4,6,3,2]
[4,7,2,1,5,3,8,6]=>[6,8,3,5,1,2,7,4]
[3,7,4,5,2,1,8,6]=>[6,8,1,2,5,4,7,3]
[1,3,6,4,7,2,8,5]=>[5,8,2,7,4,6,3,1]
[3,6,4,7,2,8,5,1]=>[1,5,8,2,7,4,6,3]
[5,1,3,4,2,7,8,6]=>[6,8,7,2,4,3,1,5]
[5,4,2,1,3,7,8,6]=>[6,8,7,3,1,2,4,5]
[6,1,7,3,8,2,5,4]=>[4,5,2,8,3,7,1,6]
[1,6,7,3,8,2,5,4]=>[4,5,2,8,3,7,6,1]
[6,1,4,7,8,5,2,3]=>[3,2,5,8,7,4,1,6]
[6,3,2,1,7,8,5,4]=>[4,5,8,7,1,2,3,6]
[6,2,7,3,1,8,5,4]=>[4,5,8,1,3,7,2,6]
[6,2,4,7,8,1,5,3]=>[3,5,1,8,7,4,2,6]
[2,6,7,3,1,8,5,4]=>[4,5,8,1,3,7,6,2]
[8,6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6,8]
[6,4,7,8,3,2,5,1]=>[1,5,2,3,8,7,4,6]
[3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3]
[8,6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6,8]
[4,8,6,1,5,3,2,7]=>[7,2,3,5,1,6,8,4]
[5,8,6,4,1,3,2,7]=>[7,2,3,1,4,6,8,5]
[8,3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3,8]
[6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]
[2,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,2]
[4,3,7,8,1,6,2,5]=>[5,2,6,1,8,7,3,4]
[3,5,8,7,4,1,2,6]=>[6,2,1,4,7,8,5,3]
[7,3,8,4,1,2,5,6]=>[6,5,2,1,4,8,3,7]
[4,8,1,2,7,3,5,6]=>[6,5,3,7,2,1,8,4]
[6,8,1,2,7,4,5,3]=>[3,5,4,7,2,1,8,6]
[5,6,8,4,1,3,7,2]=>[2,7,3,1,4,8,6,5]
[8,5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5,8]
[2,5,8,7,3,6,4,1]=>[1,4,6,3,7,8,5,2]
[2,4,8,7,5,6,1,3]=>[3,1,6,5,7,8,4,2]
[3,7,4,8,5,6,2,1]=>[1,2,6,5,8,4,7,3]
[6,4,8,7,5,1,2,3]=>[3,2,1,5,7,8,4,6]
[3,8,5,2,4,6,7,1]=>[1,7,6,4,2,5,8,3]
[5,7,1,8,4,6,2,3]=>[3,2,6,4,8,1,7,5]
[6,3,8,7,2,1,4,5]=>[5,4,1,2,7,8,3,6]
[2,3,7,8,5,6,1,4]=>[4,1,6,5,8,7,3,2]
[3,7,6,8,5,1,2,4]=>[4,2,1,5,8,6,7,3]
[2,6,7,8,5,1,3,4]=>[4,3,1,5,8,7,6,2]
[2,4,7,8,1,6,3,5]=>[5,3,6,1,8,7,4,2]
[5,4,7,8,2,6,3,1]=>[1,3,6,2,8,7,4,5]
[2,8,3,4,1,5,7,6]=>[6,7,5,1,4,3,8,2]
[6,8,3,4,1,2,7,5]=>[5,7,2,1,4,3,8,6]
[6,8,7,1,5,2,3,4]=>[4,3,2,5,1,7,8,6]
[5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]
[2,5,3,1,8,6,7,4]=>[4,7,6,8,1,3,5,2]
[4,5,3,2,8,6,7,1]=>[1,7,6,8,2,3,5,4]
[3,5,8,6,1,4,7,2]=>[2,7,4,1,6,8,5,3]
[2,8,5,6,1,4,7,3]=>[3,7,4,1,6,5,8,2]
[4,8,6,1,5,2,7,3]=>[3,7,2,5,1,6,8,4]
[5,8,2,3,7,6,1,4]=>[4,1,6,7,3,2,8,5]
[4,6,8,5,3,2,7,1]=>[1,7,2,3,5,8,6,4]
[2,6,4,8,5,1,7,3]=>[3,7,1,5,8,4,6,2]
[7,6,4,8,5,2,1,3]=>[3,1,2,5,8,4,6,7]
[3,4,8,6,5,2,7,1]=>[1,7,2,5,6,8,4,3]
[3,4,8,7,5,6,2,1]=>[1,2,6,5,7,8,4,3]
[7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]
[2,5,1,3,8,6,7,4]=>[4,7,6,8,3,1,5,2]
[4,5,1,2,8,6,7,3]=>[3,7,6,8,2,1,5,4]
[5,4,8,1,3,6,7,2]=>[2,7,6,3,1,8,4,5]
[8,3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3,8]
[7,3,4,8,5,6,1,2]=>[2,1,6,5,8,4,3,7]
[6,1,5,7,2,4,8,3]=>[3,8,4,2,7,5,1,6]
[7,4,5,1,2,3,8,6]=>[6,8,3,2,1,5,4,7]
[7,4,3,1,2,8,5,6]=>[6,5,8,2,1,3,4,7]
[8,4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4,8]
[8,4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4,8]
[7,2,1,4,5,8,3,6]=>[6,3,8,5,4,1,2,7]
[7,4,1,6,3,5,8,2]=>[2,8,5,3,6,1,4,7]
[3,5,7,6,4,1,8,2]=>[2,8,1,4,6,7,5,3]
[4,7,5,2,1,3,8,6]=>[6,8,3,1,2,5,7,4]
[5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]
[8,6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6,8]
[5,7,2,4,8,3,6,1]=>[1,6,3,8,4,2,7,5]
[1,7,2,4,8,6,3,5]=>[5,3,6,8,4,2,7,1]
[7,6,1,5,4,8,3,2]=>[2,3,8,4,5,1,6,7]
[4,7,3,2,1,8,5,6]=>[6,5,8,1,2,3,7,4]
[3,1,7,2,5,8,4,6]=>[6,4,8,5,2,7,1,3]
[4,8,7,6,1,2,5,3]=>[3,5,2,1,6,7,8,4]
[7,8,6,1,3,2,5,4]=>[4,5,2,3,1,6,8,7]
[2,8,6,7,4,1,3,5]=>[5,3,1,4,7,6,8,2]
[5,8,6,4,2,3,1,7]=>[7,1,3,2,4,6,8,5]
[2,8,3,1,6,5,4,7]=>[7,4,5,6,1,3,8,2]
[3,8,1,2,5,7,4,6]=>[6,4,7,5,2,1,8,3]
[6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]
[6,8,3,1,2,4,5,7]=>[7,5,4,2,1,3,8,6]
[4,6,8,7,3,1,5,2]=>[2,5,1,3,7,8,6,4]
[6,5,3,7,8,4,1,2]=>[2,1,4,8,7,3,5,6]
[4,1,3,8,7,5,6,2]=>[2,6,5,7,8,3,1,4]
[6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]
[8,4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4,8]
[4,3,2,6,8,1,7,5]=>[5,7,1,8,6,2,3,4]
[7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]
[5,1,2,4,7,8,3,6]=>[6,3,8,7,4,2,1,5]
[3,5,4,2,8,1,6,7]=>[7,6,1,8,2,4,5,3]
[5,1,3,8,4,2,7,6]=>[6,7,2,4,8,3,1,5]
[6,2,8,7,3,5,4,1]=>[1,4,5,3,7,8,2,6]
[7,1,8,4,3,6,5,2]=>[2,5,6,3,4,8,1,7]
[3,6,8,7,4,1,2,5]=>[5,2,1,4,7,8,6,3]
[5,6,8,1,7,3,2,4]=>[4,2,3,7,1,8,6,5]
[3,1,6,8,7,4,2,5]=>[5,2,4,7,8,6,1,3]
[7,4,6,8,2,1,5,3]=>[3,5,1,2,8,6,4,7]
[6,5,8,4,3,1,2,7]=>[7,2,1,3,4,8,5,6]
[2,5,8,3,6,7,4,1]=>[1,4,7,6,3,8,5,2]
[8,5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5,8]
[1,5,8,3,7,4,2,6]=>[6,2,4,7,3,8,5,1]
[3,8,2,7,1,5,6,4]=>[4,6,5,1,7,2,8,3]
[5,8,2,3,6,4,1,7]=>[7,1,4,6,3,2,8,5]
[6,8,2,3,4,7,5,1]=>[1,5,7,4,3,2,8,6]
[3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]
[7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]
[3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]
[2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]
[2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]
[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]
[3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]
[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]
[8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]
[7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]
[7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]
[6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]
[6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]
[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]
[8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]
[7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]
[7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]
[4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]
[4,7,1,8,5,2,6,3]=>[3,6,2,5,8,1,7,4]
[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]
[5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]
[5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]
[3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]
[4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]
[4,8,5,7,2,3,1,6]=>[6,1,3,2,7,5,8,4]
[4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]
[3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]
[5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]
[6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]
[6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]
[5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]
[5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]
[5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]
[6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]
[6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]
[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]
[6,2,3,1,4,7,8,5]=>[5,8,7,4,1,3,2,6]
[6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]
[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]
[5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]
[7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]
[7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]
[7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]
[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]
[8,7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7,8]
[8,4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4,8]
[5,1,6,4,3,2,8,7]=>[7,8,2,3,4,6,1,5]
[8,3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3,8]
[2,8,3,6,4,7,5,1]=>[1,5,7,4,6,3,8,2]
[6,2,1,7,5,8,3,4]=>[4,3,8,5,7,1,2,6]
[6,3,8,7,5,2,1,4]=>[4,1,2,5,7,8,3,6]
[6,7,2,1,5,8,4,3]=>[3,4,8,5,1,2,7,6]
[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]
[5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]
[7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]
[6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]
[6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]
[1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1]
[1,8,3,5,6,2,4,7]=>[7,4,2,6,5,3,8,1]
[1,4,8,5,6,2,3,7]=>[7,3,2,6,5,8,4,1]
[1,2,8,5,3,7,4,6]=>[6,4,7,3,5,8,2,1]
[6,1,4,8,2,3,5,7]=>[7,5,3,2,8,4,1,6]
[8,7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7,8]
[1,8,2,5,4,7,3,6]=>[6,3,7,4,5,2,8,1]
[5,7,4,1,2,3,8,6]=>[6,8,3,2,1,4,7,5]
[1,7,4,2,5,3,8,6]=>[6,8,3,5,2,4,7,1]
[6,7,4,2,1,3,8,5]=>[5,8,3,1,2,4,7,6]
[6,4,3,8,5,7,1,2]=>[2,1,7,5,8,3,4,6]
[7,4,3,6,2,1,5,8]=>[8,5,1,2,6,3,4,7]
[7,2,5,3,4,1,6,8]=>[8,6,1,4,3,5,2,7]
[8,3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3,8]
[2,7,4,3,1,5,6,8]=>[8,6,5,1,3,4,7,2]
[6,8,4,2,3,1,5,7]=>[7,5,1,3,2,4,8,6]
[3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]
[7,1,3,2,8,4,5,6]=>[6,5,4,8,2,3,1,7]
[2,1,7,4,8,3,5,6]=>[6,5,3,8,4,7,1,2]
[5,2,8,6,1,3,4,7]=>[7,4,3,1,6,8,2,5]
[2,8,3,1,4,5,6,7]=>[7,6,5,4,1,3,8,2]
[7,4,8,2,3,1,5,6]=>[6,5,1,3,2,8,4,7]
[4,2,7,3,1,5,6,8]=>[8,6,5,1,3,7,2,4]
[6,5,2,4,7,1,3,8]=>[8,3,1,7,4,2,5,6]
[6,5,7,4,1,8,2,3]=>[3,2,8,1,4,7,5,6]
[7,6,4,5,1,8,2,3]=>[3,2,8,1,5,4,6,7]
[8,6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6,8]
[6,4,3,1,8,2,5,7]=>[7,5,2,8,1,3,4,6]
[7,4,1,2,8,3,5,6]=>[6,5,3,8,2,1,4,7]
[4,8,1,3,5,7,2,6]=>[6,2,7,5,3,1,8,4]
[7,8,4,1,3,6,2,5]=>[5,2,6,3,1,4,8,7]
[6,5,8,1,3,7,2,4]=>[4,2,7,3,1,8,5,6]
[5,3,6,1,8,2,4,7]=>[7,4,2,8,1,6,3,5]
[4,7,3,1,8,2,5,6]=>[6,5,2,8,1,3,7,4]
[8,3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3,8]
[2,8,1,4,7,3,5,6]=>[6,5,3,7,4,1,8,2]
[3,1,8,5,4,7,6,2]=>[2,6,7,4,5,8,1,3]
[4,1,5,8,3,7,6,2]=>[2,6,7,3,8,5,1,4]
[4,1,5,3,8,7,6,2]=>[2,6,7,8,3,5,1,4]
[4,5,1,8,2,7,6,3]=>[3,6,7,2,8,1,5,4]
[4,8,5,3,1,7,6,2]=>[2,6,7,1,3,5,8,4]
[4,5,2,8,1,7,6,3]=>[3,6,7,1,8,2,5,4]
[4,5,2,1,8,7,6,3]=>[3,6,7,8,1,2,5,4]
[5,6,2,7,8,1,4,3]=>[3,4,1,8,7,2,6,5]
[4,6,2,8,7,1,5,3]=>[3,5,1,7,8,2,6,4]
[4,8,6,3,7,1,5,2]=>[2,5,1,7,3,6,8,4]
[4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]
[4,6,8,2,7,5,1,3]=>[3,1,5,7,2,8,6,4]
[4,6,2,8,7,5,1,3]=>[3,1,5,7,8,2,6,4]
[5,6,2,7,4,1,8,3]=>[3,8,1,4,7,2,6,5]
[5,6,7,2,3,1,8,4]=>[4,8,1,3,2,7,6,5]
[5,6,7,2,8,3,1,4]=>[4,1,3,8,2,7,6,5]
[5,6,7,2,1,8,3,4]=>[4,3,8,1,2,7,6,5]
[5,6,7,2,1,3,8,4]=>[4,8,3,1,2,7,6,5]
[5,6,1,7,8,2,4,3]=>[3,4,2,8,7,1,6,5]
[5,6,1,7,2,4,8,3]=>[3,8,4,2,7,1,6,5]
[5,1,6,7,8,3,4,2]=>[2,4,3,8,7,6,1,5]
[4,1,6,8,7,3,5,2]=>[2,5,3,7,8,6,1,4]
[3,1,8,6,7,5,4,2]=>[2,4,5,7,6,8,1,3]
[4,1,6,8,7,5,3,2]=>[2,3,5,7,8,6,1,4]
[5,1,6,7,4,8,3,2]=>[2,3,8,4,7,6,1,5]
[5,6,1,7,8,4,2,3]=>[3,2,4,8,7,1,6,5]
[4,6,8,1,7,5,2,3]=>[3,2,5,7,1,8,6,4]
[4,8,6,1,7,5,3,2]=>[2,3,5,7,1,6,8,4]
[5,6,7,1,8,3,2,4]=>[4,2,3,8,1,7,6,5]
[5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]
[5,6,7,1,3,2,8,4]=>[4,8,2,3,1,7,6,5]
[5,6,7,3,1,2,8,4]=>[4,8,2,1,3,7,6,5]
[5,6,7,3,8,1,2,4]=>[4,2,1,8,3,7,6,5]
[5,6,8,7,4,2,1,3]=>[3,1,2,4,7,8,6,5]
[5,6,7,3,8,2,1,4]=>[4,1,2,8,3,7,6,5]
[7,4,6,2,3,5,1,8]=>[8,1,5,3,2,6,4,7]
[1,4,8,6,3,2,5,7]=>[7,5,2,3,6,8,4,1]
[7,4,1,6,3,8,5,2]=>[2,5,8,3,6,1,4,7]
[7,6,3,1,5,8,4,2]=>[2,4,8,5,1,3,6,7]
[6,4,2,5,7,3,1,8]=>[8,1,3,7,5,2,4,6]
[4,2,5,7,6,3,1,8]=>[8,1,3,6,7,5,2,4]
[7,4,5,6,1,8,3,2]=>[2,3,8,1,6,5,4,7]
[4,1,5,8,6,3,2,7]=>[7,2,3,6,8,5,1,4]
[3,2,7,6,1,8,5,4]=>[4,5,8,1,6,7,2,3]
[4,7,5,1,6,8,2,3]=>[3,2,8,6,1,5,7,4]
[8,6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6,8]
[3,2,5,1,4,8,7,6]=>[6,7,8,4,1,5,2,3]
[8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]
[1,4,2,3,6,8,7,5]=>[5,7,8,6,3,2,4,1]
[5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]
[4,7,1,8,2,5,3,6]=>[6,3,5,2,8,1,7,4]
[6,4,1,8,5,3,7,2]=>[2,7,3,5,8,1,4,6]
[8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]
[3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]
[5,2,4,3,7,8,1,6]=>[6,1,8,7,3,4,2,5]
[8,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,8]
[3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]
[1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]
[6,1,4,7,2,8,3,5]=>[5,3,8,2,7,4,1,6]
[3,2,1,7,6,8,4,5]=>[5,4,8,6,7,1,2,3]
[3,2,8,6,4,7,1,5]=>[5,1,7,4,6,8,2,3]
[7,8,4,6,3,2,1,5]=>[5,1,2,3,6,4,8,7]
[1,8,6,5,3,7,2,4]=>[4,2,7,3,5,6,8,1]
[8,2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2,8]
[3,8,5,2,7,6,1,4]=>[4,1,6,7,2,5,8,3]
[4,7,5,3,1,8,6,2]=>[2,6,8,1,3,5,7,4]
[4,5,3,6,8,1,7,2]=>[2,7,1,8,6,3,5,4]
[3,5,2,6,1,8,7,4]=>[4,7,8,1,6,2,5,3]
[1,6,3,5,7,2,8,4]=>[4,8,2,7,5,3,6,1]
[1,5,4,6,7,8,2,3]=>[3,2,8,7,6,4,5,1]
[8,4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4,8]
[7,4,5,2,6,8,1,3]=>[3,1,8,6,2,5,4,7]
[5,4,2,6,8,7,1,3]=>[3,1,7,8,6,2,4,5]
[7,8,4,3,1,2,6,5]=>[5,6,2,1,3,4,8,7]
[6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]
[2,6,5,1,4,7,3,8]=>[8,3,7,4,1,5,6,2]
[3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]
[5,7,4,1,3,8,6,2]=>[2,6,8,3,1,4,7,5]
[7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]
[5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]
[2,4,3,8,6,1,5,7]=>[7,5,1,6,8,3,4,2]
[7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]
[7,8,3,1,5,6,2,4]=>[4,2,6,5,1,3,8,7]
[7,1,3,8,5,6,2,4]=>[4,2,6,5,8,3,1,7]
[1,7,8,3,5,6,2,4]=>[4,2,6,5,3,8,7,1]
[5,1,7,8,3,4,6,2]=>[2,6,4,3,8,7,1,5]
[1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]
[3,7,1,5,8,6,2,4]=>[4,2,6,8,5,1,7,3]
[1,3,7,8,2,5,6,4]=>[4,6,5,2,8,7,3,1]
[3,1,7,8,5,2,6,4]=>[4,6,2,5,8,7,1,3]
[1,3,7,5,8,2,6,4]=>[4,6,2,8,5,7,3,1]
[3,1,7,5,8,2,6,4]=>[4,6,2,8,5,7,1,3]
[3,5,7,1,8,4,6,2]=>[2,6,4,8,1,7,5,3]
[3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]
[5,3,7,8,4,6,1,2]=>[2,1,6,4,8,7,3,5]
[5,3,7,8,4,1,6,2]=>[2,6,1,4,8,7,3,5]
[5,3,7,8,1,4,6,2]=>[2,6,4,1,8,7,3,5]
[5,3,7,1,8,4,6,2]=>[2,6,4,8,1,7,3,5]
[1,5,3,7,8,4,2,6]=>[6,2,4,8,7,3,5,1]
[5,1,3,7,8,4,2,6]=>[6,2,4,8,7,3,1,5]
[3,6,2,1,4,5,8,7]=>[7,8,5,4,1,2,6,3]
[4,6,2,5,1,3,8,7]=>[7,8,3,1,5,2,6,4]
[6,4,2,5,1,3,8,7]=>[7,8,3,1,5,2,4,6]
[8,6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6,8]
[2,5,8,1,7,3,4,6]=>[6,4,3,7,1,8,5,2]
[6,8,2,7,3,1,4,5]=>[5,4,1,3,7,2,8,6]
[6,8,2,3,7,1,4,5]=>[5,4,1,7,3,2,8,6]
[8,6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6,8]
[5,2,8,1,7,3,4,6]=>[6,4,3,7,1,8,2,5]
[4,2,3,8,1,5,6,7]=>[7,6,5,1,8,3,2,4]
[5,2,8,3,7,1,4,6]=>[6,4,1,7,3,8,2,5]
[5,2,8,4,6,1,3,7]=>[7,3,1,6,4,8,2,5]
[2,1,5,8,4,3,6,7]=>[7,6,3,4,8,5,1,2]
[5,8,3,2,7,1,4,6]=>[6,4,1,7,2,3,8,5]
[4,1,3,8,2,5,6,7]=>[7,6,5,2,8,3,1,4]
[3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]
[4,5,8,2,6,1,3,7]=>[7,3,1,6,2,8,5,4]
[2,6,8,3,7,1,4,5]=>[5,4,1,7,3,8,6,2]
[5,1,8,3,7,2,4,6]=>[6,4,2,7,3,8,1,5]
[5,1,8,4,6,2,3,7]=>[7,3,2,6,4,8,1,5]
[5,8,4,1,6,2,3,7]=>[7,3,2,6,1,4,8,5]
[4,5,8,1,6,2,3,7]=>[7,3,2,6,1,8,5,4]
[5,4,8,1,6,2,3,7]=>[7,3,2,6,1,8,4,5]
[4,8,5,1,6,2,3,7]=>[7,3,2,6,1,5,8,4]
[2,1,5,4,8,3,6,7]=>[7,6,3,8,4,5,1,2]
[2,4,3,8,1,5,6,7]=>[7,6,5,1,8,3,4,2]
[3,1,8,4,2,5,6,7]=>[7,6,5,2,4,8,1,3]
[3,8,4,2,1,5,6,7]=>[7,6,5,1,2,4,8,3]
[2,3,8,4,1,5,6,7]=>[7,6,5,1,4,8,3,2]
[3,4,2,8,1,5,6,7]=>[7,6,5,1,8,2,4,3]
[3,8,5,2,7,1,4,6]=>[6,4,1,7,2,5,8,3]
[4,8,5,2,6,1,3,7]=>[7,3,1,6,2,5,8,4]
[2,1,4,8,5,3,6,7]=>[7,6,3,5,8,4,1,2]
[3,2,8,4,1,5,6,7]=>[7,6,5,1,4,8,2,3]
[2,8,4,3,1,5,6,7]=>[7,6,5,1,3,4,8,2]
[4,1,7,5,6,2,8,3]=>[3,8,2,6,5,7,1,4]
[5,7,4,3,8,1,6,2]=>[2,6,1,8,3,4,7,5]
[5,7,4,3,8,2,6,1]=>[1,6,2,8,3,4,7,5]
[3,8,4,2,6,7,5,1]=>[1,5,7,6,2,4,8,3]
[3,8,4,1,6,7,5,2]=>[2,5,7,6,1,4,8,3]
[6,1,7,5,2,8,4,3]=>[3,4,8,2,5,7,1,6]
[5,6,4,3,2,8,1,7]=>[7,1,8,2,3,4,6,5]
[2,6,7,5,3,8,4,1]=>[1,4,8,3,5,7,6,2]
[6,7,4,8,2,5,3,1]=>[1,3,5,2,8,4,7,6]
[2,1,6,7,5,3,8,4]=>[4,8,3,5,7,6,1,2]
[3,8,4,2,1,6,7,5]=>[5,7,6,1,2,4,8,3]
[5,7,4,3,8,2,1,6]=>[6,1,2,8,3,4,7,5]
[6,7,4,8,1,2,5,3]=>[3,5,2,1,8,4,7,6]
[6,7,5,8,1,2,4,3]=>[3,4,2,1,8,5,7,6]
[6,7,4,8,3,1,2,5]=>[5,2,1,3,8,4,7,6]
[3,4,8,1,2,5,7,6]=>[6,7,5,2,1,8,4,3]
[6,1,3,4,8,2,5,7]=>[7,5,2,8,4,3,1,6]
[6,2,3,4,8,1,5,7]=>[7,5,1,8,4,3,2,6]
[3,4,8,2,1,5,7,6]=>[6,7,5,1,2,8,4,3]
[6,7,5,8,2,4,3,1]=>[1,3,4,2,8,5,7,6]
[6,7,5,8,3,1,4,2]=>[2,4,1,3,8,5,7,6]
[3,4,8,1,5,7,6,2]=>[2,6,7,5,1,8,4,3]
[2,5,7,6,1,4,8,3]=>[3,8,4,1,6,7,5,2]
[6,7,4,8,2,3,5,1]=>[1,5,3,2,8,4,7,6]
[6,7,4,8,1,3,5,2]=>[2,5,3,1,8,4,7,6]
[2,6,7,5,1,3,8,4]=>[4,8,3,1,5,7,6,2]
[6,3,1,4,8,2,5,7]=>[7,5,2,8,4,1,3,6]
[6,7,4,8,1,3,2,5]=>[5,2,3,1,8,4,7,6]
[6,7,5,8,4,1,3,2]=>[2,3,1,4,8,5,7,6]
[6,7,4,8,2,1,3,5]=>[5,3,1,2,8,4,7,6]
[6,7,4,8,1,2,3,5]=>[5,3,2,1,8,4,7,6]
[1,5,6,3,4,8,2,7]=>[7,2,8,4,3,6,5,1]
[1,4,3,6,5,8,2,7]=>[7,2,8,5,6,3,4,1]
[8,1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1,8]
[5,1,7,3,4,8,2,6]=>[6,2,8,4,3,7,1,5]
[6,7,8,2,3,5,4,1]=>[1,4,5,3,2,8,7,6]
[5,8,6,2,3,7,4,1]=>[1,4,7,3,2,6,8,5]
[2,8,3,4,7,5,6,1]=>[1,6,5,7,4,3,8,2]
[1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]
[8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]
[3,8,1,7,5,2,6,4]=>[4,6,2,5,7,1,8,3]
[4,8,1,6,7,2,5,3]=>[3,5,2,7,6,1,8,4]
[2,1,3,8,4,6,5,7]=>[7,5,6,4,8,3,1,2]
[8,2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2,8]
[1,3,2,8,5,4,6,7]=>[7,6,4,5,8,2,3,1]
[8,3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3,8]
[8,4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4,8]
[1,5,6,8,7,4,2,3]=>[3,2,4,7,8,6,5,1]
[8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]
[1,4,8,5,7,6,2,3]=>[3,2,6,7,5,8,4,1]
[2,4,8,5,7,3,6,1]=>[1,6,3,7,5,8,4,2]
[4,3,8,6,5,7,2,1]=>[1,2,7,5,6,8,3,4]
[6,7,2,8,5,3,4,1]=>[1,4,3,5,8,2,7,6]
[5,2,7,8,6,3,4,1]=>[1,4,3,6,8,7,2,5]
[4,2,8,6,7,3,5,1]=>[1,5,3,7,6,8,2,4]
[3,2,8,7,5,4,6,1]=>[1,6,4,5,7,8,2,3]
[3,1,8,7,5,6,2,4]=>[4,2,6,5,7,8,1,3]
[4,1,8,6,7,5,2,3]=>[3,2,5,7,6,8,1,4]
[5,1,7,8,6,4,2,3]=>[3,2,4,6,8,7,1,5]
[6,7,1,8,5,4,2,3]=>[3,2,4,5,8,1,7,6]
[7,8,3,2,6,1,4,5]=>[5,4,1,6,2,3,8,7]
[3,4,8,2,6,1,7,5]=>[5,7,1,6,2,8,4,3]
[7,8,4,1,5,6,3,2]=>[2,3,6,5,1,4,8,7]
[7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]
[7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]
[7,8,5,1,4,6,3,2]=>[2,3,6,4,1,5,8,7]
[7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]
[5,3,8,4,1,6,7,2]=>[2,7,6,1,4,8,3,5]
[6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]
[3,4,8,5,1,6,7,2]=>[2,7,6,1,5,8,4,3]
[3,5,8,1,4,6,7,2]=>[2,7,6,4,1,8,5,3]
[1,4,8,2,6,3,7,5]=>[5,7,3,6,2,8,4,1]
[5,3,8,1,4,6,7,2]=>[2,7,6,4,1,8,3,5]
[4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]
[7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]
[6,1,7,5,8,4,3,2]=>[2,3,4,8,5,7,1,6]
[6,2,1,8,4,5,3,7]=>[7,3,5,4,8,1,2,6]
[1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]
[6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]
[6,1,5,7,8,4,3,2]=>[2,3,4,8,7,5,1,6]
[1,7,5,6,8,4,3,2]=>[2,3,4,8,6,5,7,1]
[3,1,8,4,5,6,7,2]=>[2,7,6,5,4,8,1,3]
[2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]
[2,4,1,8,6,5,3,7]=>[7,3,5,6,8,1,4,2]
[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]
[3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]
[2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]
[2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]
[3,6,2,8,5,1,4,7]=>[7,4,1,5,8,2,6,3]
[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]
[1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]
[7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]
[7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]
[1,2,6,8,4,5,3,7]=>[7,3,5,4,8,6,2,1]
[7,1,6,5,8,4,3,2]=>[2,3,4,8,5,6,1,7]
[6,5,7,1,8,4,3,2]=>[2,3,4,8,1,7,5,6]
[5,7,6,1,8,4,3,2]=>[2,3,4,8,1,6,7,5]
[6,7,1,5,8,4,3,2]=>[2,3,4,8,5,1,7,6]
[6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]
[7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]
[7,6,1,5,8,4,3,2]=>[2,3,4,8,5,1,6,7]
[7,5,6,1,8,4,3,2]=>[2,3,4,8,1,6,5,7]
[7,1,6,5,3,2,4,8]=>[8,4,2,3,5,6,1,7]
[1,8,7,5,3,2,4,6]=>[6,4,2,3,5,7,8,1]
[1,8,7,4,2,5,3,6]=>[6,3,5,2,4,7,8,1]
[8,7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7,8]
[7,1,6,4,2,5,3,8]=>[8,3,5,2,4,6,1,7]
[2,6,5,4,7,1,3,8]=>[8,3,1,7,4,5,6,2]
[7,1,5,3,6,4,2,8]=>[8,2,4,6,3,5,1,7]
[5,3,7,1,6,4,2,8]=>[8,2,4,6,1,7,3,5]
[5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]
[1,5,3,8,7,4,2,6]=>[6,2,4,7,8,3,5,1]
[7,4,2,8,6,3,5,1]=>[1,5,3,6,8,2,4,7]
[5,3,6,1,8,7,4,2]=>[2,4,7,8,1,6,3,5]
[6,1,5,3,8,7,4,2]=>[2,4,7,8,3,5,1,6]
[2,8,7,5,4,6,1,3]=>[3,1,6,4,5,7,8,2]
[2,3,1,8,7,5,4,6]=>[6,4,5,7,8,1,3,2]
[5,3,8,7,4,2,1,6]=>[6,1,2,4,7,8,3,5]
[7,4,2,1,8,6,3,5]=>[5,3,6,8,1,2,4,7]
[8,6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6,8]
[1,8,6,3,5,7,4,2]=>[2,4,7,5,3,6,8,1]
[6,3,8,5,2,1,7,4]=>[4,7,1,2,5,8,3,6]
[8,6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6,8]
[2,8,6,4,7,5,1,3]=>[3,1,5,7,4,6,8,2]
[5,1,8,6,3,7,4,2]=>[2,4,7,3,6,8,1,5]
[6,3,7,4,1,8,5,2]=>[2,5,8,1,4,7,3,6]
[8,5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5,8]
[6,1,8,7,4,2,5,3]=>[3,5,2,4,7,8,1,6]
[8,6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6,8]
[1,8,6,3,2,4,7,5]=>[5,7,4,2,3,6,8,1]
[8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]
[7,5,1,8,6,3,2,4]=>[4,2,3,6,8,1,5,7]
[6,1,8,7,5,3,2,4]=>[4,2,3,5,7,8,1,6]
[4,3,2,8,7,6,1,5]=>[5,1,6,7,8,2,3,4]
[2,4,5,1,3,8,7,6]=>[6,7,8,3,1,5,4,2]
[7,5,8,6,3,2,4,1]=>[1,4,2,3,6,8,5,7]
[1,7,5,8,6,3,2,4]=>[4,2,3,6,8,5,7,1]
[1,7,4,2,5,8,6,3]=>[3,6,8,5,2,4,7,1]
[8,6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6,8]
[8,7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7,8]
[5,3,1,8,7,4,2,6]=>[6,2,4,7,8,1,3,5]
[4,1,8,7,5,3,2,6]=>[6,2,3,5,7,8,1,4]
[2,8,6,4,1,3,7,5]=>[5,7,3,1,4,6,8,2]
[4,1,8,6,3,2,7,5]=>[5,7,2,3,6,8,1,4]
[7,4,2,8,6,3,1,5]=>[5,1,3,6,8,2,4,7]
[6,3,1,8,5,2,7,4]=>[4,7,2,5,8,1,3,6]
[8,5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5,8]
[7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7]
[1,8,5,2,7,4,6,3]=>[3,6,4,7,2,5,8,1]
[8,5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5,8]
[7,4,6,3,1,8,5,2]=>[2,5,8,1,3,6,4,7]
[6,3,1,7,4,8,5,2]=>[2,5,8,4,7,1,3,6]
[8,6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6,8]
[4,1,7,5,8,6,3,2]=>[2,3,6,8,5,7,1,4]
[2,3,1,7,5,8,6,4]=>[4,6,8,5,7,1,3,2]
[7,4,8,5,2,1,6,3]=>[3,6,1,2,5,8,4,7]
[8,5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5,8]
[1,7,4,6,3,8,5,2]=>[2,5,8,3,6,4,7,1]
[3,6,5,2,1,4,8,7]=>[7,8,4,1,2,5,6,3]
[3,5,6,2,1,4,8,7]=>[7,8,4,1,2,6,5,3]
[3,5,7,8,1,4,2,6]=>[6,2,4,1,8,7,5,3]
[4,1,8,5,7,3,2,6]=>[6,2,3,7,5,8,1,4]
[4,1,7,5,8,3,2,6]=>[6,2,3,8,5,7,1,4]
[2,1,5,8,7,4,3,6]=>[6,3,4,7,8,5,1,2]
[2,1,5,7,8,4,3,6]=>[6,3,4,8,7,5,1,2]
[5,1,7,4,8,3,2,6]=>[6,2,3,8,4,7,1,5]
[4,7,2,8,3,6,1,5]=>[5,1,6,3,8,2,7,4]
[4,6,2,7,3,1,8,5]=>[5,8,1,3,7,2,6,4]
[3,7,8,2,4,1,6,5]=>[5,6,1,4,2,8,7,3]
[3,8,7,2,4,1,6,5]=>[5,6,1,4,2,7,8,3]
[3,8,6,2,4,1,7,5]=>[5,7,1,4,2,6,8,3]
[6,2,8,4,1,7,3,5]=>[5,3,7,1,4,8,2,6]
[7,3,4,8,1,6,2,5]=>[5,2,6,1,8,4,3,7]
[6,3,4,8,1,7,2,5]=>[5,2,7,1,8,4,3,6]
[5,3,4,8,1,2,7,6]=>[6,7,2,1,8,4,3,5]
[4,3,5,8,1,2,7,6]=>[6,7,2,1,8,5,3,4]
[1,8,5,4,2,3,7,6]=>[6,7,3,2,4,5,8,1]
[3,5,4,8,1,2,7,6]=>[6,7,2,1,8,4,5,3]
[4,5,3,8,1,2,7,6]=>[6,7,2,1,8,3,5,4]
[6,4,3,8,1,7,2,5]=>[5,2,7,1,8,3,4,6]
[7,4,3,8,1,6,2,5]=>[5,2,6,1,8,3,4,7]
[6,5,3,8,7,1,2,4]=>[4,2,1,7,8,3,5,6]
[5,6,3,8,7,1,2,4]=>[4,2,1,7,8,3,6,5]
[4,6,3,8,1,7,2,5]=>[5,2,7,1,8,3,6,4]
[2,6,8,4,1,7,3,5]=>[5,3,7,1,4,8,6,2]
[1,8,7,4,2,6,3,5]=>[5,3,6,2,4,7,8,1]
[5,7,3,8,6,1,2,4]=>[4,2,1,6,8,3,7,5]
[3,7,5,8,6,1,2,4]=>[4,2,1,6,8,5,7,3]
[2,7,8,5,6,1,3,4]=>[4,3,1,6,5,8,7,2]
[1,8,7,5,6,2,3,4]=>[4,3,2,6,5,7,8,1]
[2,6,8,5,7,1,3,4]=>[4,3,1,7,5,8,6,2]
[5,3,6,8,7,1,2,4]=>[4,2,1,7,8,6,3,5]
[6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]
[7,2,8,5,6,1,3,4]=>[4,3,1,6,5,8,2,7]
[5,2,8,6,7,1,3,4]=>[4,3,1,7,6,8,2,5]
[1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]
[5,2,8,7,6,1,3,4]=>[4,3,1,6,7,8,2,5]
[6,2,8,7,5,1,3,4]=>[4,3,1,5,7,8,2,6]
[3,4,7,8,1,6,2,5]=>[5,2,6,1,8,7,4,3]
[1,8,5,7,6,2,3,4]=>[4,3,2,6,7,5,8,1]
[2,5,8,7,6,1,3,4]=>[4,3,1,6,7,8,5,2]
[7,4,6,5,8,1,2,3]=>[3,2,1,8,5,6,4,7]
[3,6,7,8,5,1,2,4]=>[4,2,1,5,8,7,6,3]
[2,6,8,7,5,1,3,4]=>[4,3,1,5,7,8,6,2]
[1,8,6,7,5,2,3,4]=>[4,3,2,5,7,6,8,1]
[2,7,8,6,5,1,3,4]=>[4,3,1,5,6,8,7,2]
[5,7,6,4,8,1,2,3]=>[3,2,1,8,4,6,7,5]
[6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]
[2,8,7,4,1,3,5,6]=>[6,5,3,1,4,7,8,2]
[5,4,8,7,1,3,2,6]=>[6,2,3,1,7,8,4,5]
[4,8,6,1,3,2,5,7]=>[7,5,2,3,1,6,8,4]
[5,4,2,7,6,8,1,3]=>[3,1,8,6,7,2,4,5]
[2,8,7,1,4,5,3,6]=>[6,3,5,4,1,7,8,2]
[4,2,1,8,7,3,5,6]=>[6,5,3,7,8,1,2,4]
[5,1,6,3,2,8,7,4]=>[4,7,8,2,3,6,1,5]
[4,6,1,8,7,3,2,5]=>[5,2,3,7,8,1,6,4]
[8,7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7,8]
[5,3,1,4,8,7,2,6]=>[6,2,7,8,4,1,3,5]
[4,3,5,2,8,7,1,6]=>[6,1,7,8,2,5,3,4]
[3,4,2,8,6,1,5,7]=>[7,5,1,6,8,2,4,3]
[3,7,6,8,1,5,2,4]=>[4,2,5,1,8,6,7,3]
[8,1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1,8]
[3,7,2,1,8,6,4,5]=>[5,4,6,8,1,2,7,3]
[2,8,6,1,7,3,5,4]=>[4,5,3,7,1,6,8,2]
[1,7,6,3,5,8,2,4]=>[4,2,8,5,3,6,7,1]
[3,7,5,1,6,8,2,4]=>[4,2,8,6,1,5,7,3]
[3,6,5,8,1,4,7,2]=>[2,7,4,1,8,5,6,3]
[8,1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1,8]
[3,6,7,4,1,8,2,5]=>[5,2,8,1,4,7,6,3]
[1,7,4,6,8,2,5,3]=>[3,5,2,8,6,4,7,1]
[7,5,8,2,6,3,1,4]=>[4,1,3,6,2,8,5,7]
[2,7,1,6,5,4,8,3]=>[3,8,4,5,6,1,7,2]
[7,3,2,6,1,8,5,4]=>[4,5,8,1,6,2,3,7]
[6,4,7,2,3,1,8,5]=>[5,8,1,3,2,7,4,6]
[5,3,1,8,4,6,2,7]=>[7,2,6,4,8,1,3,5]
[3,8,1,6,7,4,2,5]=>[5,2,4,7,6,1,8,3]
[2,7,4,3,6,8,1,5]=>[5,1,8,6,3,4,7,2]
[2,8,4,6,1,5,3,7]=>[7,3,5,1,6,4,8,2]
[8,4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4,8]
[4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]
[3,1,7,4,8,5,2,6]=>[6,2,5,8,4,7,1,3]
[7,4,1,6,3,2,8,5]=>[5,8,2,3,6,1,4,7]
[3,8,6,2,7,4,1,5]=>[5,1,4,7,2,6,8,3]
[7,3,1,4,5,2,8,6]=>[6,8,2,5,4,1,3,7]
[6,1,4,8,5,3,2,7]=>[7,2,3,5,8,4,1,6]
[8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]
[8,1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1,8]
[7,5,2,3,8,6,1,4]=>[4,1,6,8,3,2,5,7]
[8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]
[4,7,5,1,8,6,3,2]=>[2,3,6,8,1,5,7,4]
[4,7,3,2,8,5,6,1]=>[1,6,5,8,2,3,7,4]
[8,4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4,8]
[7,5,8,4,2,3,6,1]=>[1,6,3,2,4,8,5,7]
[3,8,4,6,1,7,5,2]=>[2,5,7,1,6,4,8,3]
[3,7,4,6,5,2,8,1]=>[1,8,2,5,6,4,7,3]
[4,2,7,6,1,5,8,3]=>[3,8,5,1,6,7,2,4]
[8,3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3,8]
[3,5,1,6,8,4,7,2]=>[2,7,4,8,6,1,5,3]
[6,1,5,7,3,8,4,2]=>[2,4,8,3,7,5,1,6]
[5,8,4,7,3,2,6,1]=>[1,6,2,3,7,4,8,5]
[7,2,6,5,8,4,1,3]=>[3,1,4,8,5,6,2,7]
[8,3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3,8]
[2,6,8,3,7,4,1,5]=>[5,1,4,7,3,8,6,2]
[8,1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1,8]
[2,5,8,1,6,4,7,3]=>[3,7,4,6,1,8,5,2]
[7,4,1,8,3,2,6,5]=>[5,6,2,3,8,1,4,7]
[8,3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3,8]
[5,2,6,8,3,1,7,4]=>[4,7,1,3,8,6,2,5]
[3,6,5,8,4,1,7,2]=>[2,7,1,4,8,5,6,3]
[7,3,6,1,8,4,5,2]=>[2,5,4,8,1,6,3,7]
[8,2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2,8]
[7,3,8,2,5,6,4,1]=>[1,4,6,5,2,8,3,7]
[5,7,3,1,6,4,8,2]=>[2,8,4,6,1,3,7,5]
[6,1,3,2,4,8,7,5]=>[5,7,8,4,2,3,1,6]
[8,7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7,8]
[8,7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7,8]
[3,7,1,5,2,8,6,4]=>[4,6,8,2,5,1,7,3]
[8,7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7,8]
[8,7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7,8]
[5,2,8,7,1,4,3,6]=>[6,3,4,1,7,8,2,5]
[7,1,8,6,2,4,3,5]=>[5,3,4,2,6,8,1,7]
[8,1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1,8]
[7,1,6,2,8,5,3,4]=>[4,3,5,8,2,6,1,7]
[6,3,4,1,7,2,8,5]=>[5,8,2,7,1,4,3,6]
[7,2,4,3,5,1,8,6]=>[6,8,1,5,3,4,2,7]
[5,1,7,2,3,8,6,4]=>[4,6,8,3,2,7,1,5]
[8,2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2,8]
[7,6,3,1,4,8,2,5]=>[5,2,8,4,1,3,6,7]
[6,1,8,2,7,5,3,4]=>[4,3,5,7,2,8,1,6]
[7,2,8,1,6,5,3,4]=>[4,3,5,6,1,8,2,7]
[7,2,6,4,3,8,1,5]=>[5,1,8,3,4,6,2,7]
[5,1,7,4,3,8,2,6]=>[6,2,8,3,4,7,1,5]
[5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]
[7,4,8,2,1,5,3,6]=>[6,3,5,1,2,8,4,7]
[8,2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2,8]
[8,2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2,8]
[6,1,7,3,2,8,5,4]=>[4,5,8,2,3,7,1,6]
[4,7,2,1,6,3,8,5]=>[5,8,3,6,1,2,7,4]
[6,2,1,5,3,8,4,7]=>[7,4,8,3,5,1,2,6]
[5,3,1,6,2,8,4,7]=>[7,4,8,2,6,1,3,5]
[6,1,5,2,8,4,3,7]=>[7,3,4,8,2,5,1,6]
[7,4,3,8,1,5,2,6]=>[6,2,5,1,8,3,4,7]
[7,4,8,1,5,3,2,6]=>[6,2,3,5,1,8,4,7]
[6,1,5,3,2,8,4,7]=>[7,4,8,2,3,5,1,6]
[6,3,2,8,4,1,5,7]=>[7,5,1,4,8,2,3,6]
[7,3,4,2,8,5,1,6]=>[6,1,5,8,2,4,3,7]
[7,1,6,3,4,2,8,5]=>[5,8,2,4,3,6,1,7]
[8,5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5,8]
[3,8,6,1,5,2,7,4]=>[4,7,2,5,1,6,8,3]
[8,6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6,8]
[4,8,5,6,1,7,3,2]=>[2,3,7,1,6,5,8,4]
[6,7,1,3,8,5,2,4]=>[4,2,5,8,3,1,7,6]
[3,6,7,1,5,2,8,4]=>[4,8,2,5,1,7,6,3]
[7,1,3,8,4,2,6,5]=>[5,6,2,4,8,3,1,7]
[5,6,2,7,1,3,8,4]=>[4,8,3,1,7,2,6,5]
[5,6,2,8,1,3,7,4]=>[4,7,3,1,8,2,6,5]
[6,1,8,3,7,5,2,4]=>[4,2,5,7,3,8,1,6]
[7,4,2,1,5,8,3,6]=>[6,3,8,5,1,2,4,7]
[7,4,1,5,8,3,2,6]=>[6,2,3,8,5,1,4,7]
[7,3,2,6,4,8,1,5]=>[5,1,8,4,6,2,3,7]
[6,4,2,7,3,8,1,5]=>[5,1,8,3,7,2,4,6]
[5,1,8,3,7,4,2,6]=>[6,2,4,7,3,8,1,5]
[7,4,8,3,1,5,2,6]=>[6,2,5,1,3,8,4,7]
[5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]
[6,1,8,4,5,2,7,3]=>[3,7,2,5,4,8,1,6]
[7,1,6,4,5,2,8,3]=>[3,8,2,5,4,6,1,7]
[3,5,2,7,1,6,8,4]=>[4,8,6,1,7,2,5,3]
[4,5,7,3,1,6,8,2]=>[2,8,6,1,3,7,5,4]
[4,5,7,2,8,6,1,3]=>[3,1,6,8,2,7,5,4]
[3,5,1,7,2,6,8,4]=>[4,8,6,2,7,1,5,3]
[4,5,7,2,8,1,3,6]=>[6,3,1,8,2,7,5,4]
[4,6,7,2,1,5,8,3]=>[3,8,5,1,2,7,6,4]
[4,6,7,1,3,8,5,2]=>[2,5,8,3,1,7,6,4]
[3,6,1,5,7,8,4,2]=>[2,4,8,7,5,1,6,3]
[4,6,7,1,5,8,3,2]=>[2,3,8,5,1,7,6,4]
[6,1,3,7,4,8,5,2]=>[2,5,8,4,7,3,1,6]
[3,2,1,7,4,8,5,6]=>[6,5,8,4,7,1,2,3]
[4,1,5,2,7,6,3,8]=>[8,3,6,7,2,5,1,4]
[2,5,1,3,7,6,4,8]=>[8,4,6,7,3,1,5,2]
[2,5,1,4,3,8,6,7]=>[7,6,8,3,4,1,5,2]
[3,7,2,1,5,8,6,4]=>[4,6,8,5,1,2,7,3]
[6,2,7,1,4,8,5,3]=>[3,5,8,4,1,7,2,6]
[3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]
[7,2,5,3,1,8,6,4]=>[4,6,8,1,3,5,2,7]
[7,5,1,4,2,8,6,3]=>[3,6,8,2,4,1,5,7]
[7,5,4,1,3,8,6,2]=>[2,6,8,3,1,4,5,7]
[5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]
[6,3,2,8,1,5,7,4]=>[4,7,5,1,8,2,3,6]
[7,4,3,2,8,1,6,5]=>[5,6,1,8,2,3,4,7]
[7,6,2,4,8,3,5,1]=>[1,5,3,8,4,2,6,7]
[7,3,6,4,8,1,5,2]=>[2,5,1,8,4,6,3,7]
[2,7,5,3,8,1,4,6]=>[6,4,1,8,3,5,7,2]
[1,8,5,3,6,4,2,7]=>[7,2,4,6,3,5,8,1]
[8,6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6,8]
[8,6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6,8]
[8,3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3,8]
[7,2,6,1,5,4,3,8]=>[8,3,4,5,1,6,2,7]
[8,5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5,8]
[8,5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5,8]
[8,4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4,8]
[2,8,5,6,1,4,3,7]=>[7,3,4,1,6,5,8,2]
[7,2,6,8,4,1,5,3]=>[3,5,1,4,8,6,2,7]
[7,6,4,8,3,2,5,1]=>[1,5,2,3,8,4,6,7]
[6,5,8,1,4,2,7,3]=>[3,7,2,4,1,8,5,6]
[6,5,8,4,1,3,7,2]=>[2,7,3,1,4,8,5,6]
[5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]
[4,3,7,2,1,6,5,8]=>[8,5,6,1,2,7,3,4]
[2,5,8,1,4,3,7,6]=>[6,7,3,4,1,8,5,2]
[3,6,8,2,1,5,7,4]=>[4,7,5,1,2,8,6,3]
[5,7,4,8,1,3,6,2]=>[2,6,3,1,8,4,7,5]
[5,7,1,4,8,2,6,3]=>[3,6,2,8,4,1,7,5]
[2,7,4,1,8,3,6,5]=>[5,6,3,8,1,4,7,2]
[3,5,1,8,4,2,7,6]=>[6,7,2,4,8,1,5,3]
[4,1,5,7,3,6,2,8]=>[8,2,6,3,7,5,1,4]
[4,2,5,8,3,1,7,6]=>[6,7,1,3,8,5,2,4]
[6,1,2,7,8,3,5,4]=>[4,5,3,8,7,2,1,6]
[5,3,1,8,6,4,2,7]=>[7,2,4,6,8,1,3,5]
[3,1,8,4,7,5,2,6]=>[6,2,5,7,4,8,1,3]
[4,2,8,7,3,5,1,6]=>[6,1,5,3,7,8,2,4]
[4,8,1,7,6,2,3,5]=>[5,3,2,6,7,1,8,4]
[6,8,1,4,7,5,2,3]=>[3,2,5,7,4,1,8,6]
[7,3,8,1,6,4,2,5]=>[5,2,4,6,1,8,3,7]
[4,7,8,1,5,3,2,6]=>[6,2,3,5,1,8,7,4]
[7,1,8,6,2,5,3,4]=>[4,3,5,2,6,8,1,7]
[5,8,7,1,3,6,4,2]=>[2,4,6,3,1,7,8,5]
[3,8,7,2,1,6,4,5]=>[5,4,6,1,2,7,8,3]
[2,8,7,1,6,3,5,4]=>[4,5,3,6,1,7,8,2]
[3,7,6,1,5,4,2,8]=>[8,2,4,5,1,6,7,3]
[4,8,7,6,1,3,5,2]=>[2,5,3,1,6,7,8,4]
[5,8,7,2,6,1,4,3]=>[3,4,1,6,2,7,8,5]
[6,8,1,7,5,2,4,3]=>[3,4,2,5,7,1,8,6]
[7,3,8,6,5,1,2,4]=>[4,2,1,5,6,8,3,7]
[5,7,8,4,3,1,2,6]=>[6,2,1,3,4,8,7,5]
[5,8,6,4,3,2,1,7]=>[7,1,2,3,4,6,8,5]
[8,7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7,8]
[6,1,4,2,5,3,7,8]=>[8,7,3,5,2,4,1,6]
[1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]
[6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]
[6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]
[5,1,6,3,4,7,8,2]=>[2,8,7,4,3,6,1,5]
[5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]
[3,4,7,5,8,6,1,2]=>[2,1,6,8,5,7,4,3]
[2,4,7,1,5,3,8,6]=>[6,8,3,5,1,7,4,2]
[2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]
[1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]
[2,7,6,5,3,1,8,4]=>[4,8,1,3,5,6,7,2]
[5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]
[4,7,6,5,2,1,8,3]=>[3,8,1,2,5,6,7,4]
[5,3,6,2,4,1,7,8]=>[8,7,1,4,2,6,3,5]
[5,7,4,2,1,3,6,8]=>[8,6,3,1,2,4,7,5]
[6,3,1,5,4,7,8,2]=>[2,8,7,4,5,1,3,6]
[5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]
[1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]
[5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]
[6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]
[4,7,6,3,8,5,1,2]=>[2,1,5,8,3,6,7,4]
[3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]
[4,7,2,6,1,3,8,5]=>[5,8,3,1,6,2,7,4]
[2,7,1,6,8,3,5,4]=>[4,5,3,8,6,1,7,2]
[2,7,6,5,8,1,4,3]=>[3,4,1,8,5,6,7,2]
[5,2,8,7,6,4,3,1]=>[1,3,4,6,7,8,2,5]
[8,2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2,8]
[8,4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4,8]
[4,5,6,2,3,8,1,7]=>[7,1,8,3,2,6,5,4]
[4,5,3,2,7,8,1,6]=>[6,1,8,7,2,3,5,4]
[6,5,7,3,8,4,2,1]=>[1,2,4,8,3,7,5,6]
[6,8,7,2,4,3,5,1]=>[1,5,3,4,2,7,8,6]
[3,2,7,4,5,8,1,6]=>[6,1,8,5,4,7,2,3]
[6,8,1,5,2,4,3,7]=>[7,3,4,2,5,1,8,6]
[8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]
[2,3,4,7,5,8,1,6]=>[6,1,8,5,7,4,3,2]
[6,3,4,7,8,2,5,1]=>[1,5,2,8,7,4,3,6]
[5,3,7,4,8,6,1,2]=>[2,1,6,8,4,7,3,5]
[8,3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3,8]
[1,3,7,4,8,6,2,5]=>[5,2,6,8,4,7,3,1]
[3,7,8,5,4,1,2,6]=>[6,2,1,4,5,8,7,3]
[5,4,3,1,7,8,2,6]=>[6,2,8,7,1,3,4,5]
[5,7,6,2,8,4,1,3]=>[3,1,4,8,2,6,7,5]
[6,1,7,5,8,3,4,2]=>[2,4,3,8,5,7,1,6]
[7,5,6,4,1,3,8,2]=>[2,8,3,1,4,6,5,7]
[1,5,6,8,4,7,3,2]=>[2,3,7,4,8,6,5,1]
[4,1,3,7,6,5,8,2]=>[2,8,5,6,7,3,1,4]
[3,4,1,7,5,8,6,2]=>[2,6,8,5,7,1,4,3]
[8,5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5,8]
[6,8,5,1,7,2,4,3]=>[3,4,2,7,1,5,8,6]
[8,2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2,8]
[7,8,3,6,2,1,4,5]=>[5,4,1,2,6,3,8,7]
[8,1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1,8]
[1,8,7,2,3,5,6,4]=>[4,6,5,3,2,7,8,1]
[2,8,3,1,6,7,5,4]=>[4,5,7,6,1,3,8,2]
[8,2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2,8]
[3,8,4,1,2,7,6,5]=>[5,6,7,2,1,4,8,3]
[5,4,7,2,3,6,8,1]=>[1,8,6,3,2,7,4,5]
[6,3,2,1,8,4,7,5]=>[5,7,4,8,1,2,3,6]
[2,3,7,4,1,8,5,6]=>[6,5,8,1,4,7,3,2]
[6,4,1,3,2,7,8,5]=>[5,8,7,2,3,1,4,6]
[2,7,8,5,1,3,6,4]=>[4,6,3,1,5,8,7,2]
[8,2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2,8]
[2,8,5,4,7,6,1,3]=>[3,1,6,7,4,5,8,2]
[6,7,1,5,8,2,4,3]=>[3,4,2,8,5,1,7,6]
[4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]
[7,8,1,5,3,2,6,4]=>[4,6,2,3,5,1,8,7]
[6,5,7,3,8,2,1,4]=>[4,1,2,8,3,7,5,6]
[8,1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1,8]
[7,3,4,6,1,5,8,2]=>[2,8,5,1,6,4,3,7]
[8,3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3,8]
[4,2,6,8,3,1,5,7]=>[7,5,1,3,8,6,2,4]
[3,7,6,2,4,5,1,8]=>[8,1,5,4,2,6,7,3]
[2,3,6,5,8,1,4,7]=>[7,4,1,8,5,6,3,2]
[2,3,5,8,6,1,4,7]=>[7,4,1,6,8,5,3,2]
[4,2,3,8,6,1,5,7]=>[7,5,1,6,8,3,2,4]
[6,4,1,2,8,3,5,7]=>[7,5,3,8,2,1,4,6]
[1,2,3,7,4,6,8,5]=>[5,8,6,4,7,3,2,1]
[3,2,7,1,4,5,8,6]=>[6,8,5,4,1,7,2,3]
[2,1,5,3,8,7,4,6]=>[6,4,7,8,3,5,1,2]
[5,8,3,2,4,1,6,7]=>[7,6,1,4,2,3,8,5]
[4,2,7,1,8,3,5,6]=>[6,5,3,8,1,7,2,4]
[4,1,8,2,7,3,5,6]=>[6,5,3,7,2,8,1,4]
[1,2,7,5,3,8,4,6]=>[6,4,8,3,5,7,2,1]
[3,2,7,1,4,8,5,6]=>[6,5,8,4,1,7,2,3]
[1,2,3,7,6,8,4,5]=>[5,4,8,6,7,3,2,1]
[1,2,3,6,8,7,4,5]=>[5,4,7,8,6,3,2,1]
[1,2,3,7,8,4,6,5]=>[5,6,4,8,7,3,2,1]
[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]
[1,2,3,7,8,6,4,5]=>[5,4,6,8,7,3,2,1]
[6,2,8,3,7,5,1,4]=>[4,1,5,7,3,8,2,6]
[4,2,8,3,7,5,6,1]=>[1,6,5,7,3,8,2,4]
[7,3,4,8,6,5,1,2]=>[2,1,5,6,8,4,3,7]
[5,3,4,8,7,2,6,1]=>[1,6,2,7,8,4,3,5]
[4,3,5,8,7,2,6,1]=>[1,6,2,7,8,5,3,4]
[4,6,3,8,5,7,2,1]=>[1,2,7,5,8,3,6,4]
[7,5,3,8,6,2,4,1]=>[1,4,2,6,8,3,5,7]
[2,6,8,3,7,4,5,1]=>[1,5,4,7,3,8,6,2]
[1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]
[2,5,8,3,7,4,6,1]=>[1,6,4,7,3,8,5,2]
[7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7]
[3,5,4,8,7,2,6,1]=>[1,6,2,7,8,4,5,3]
[4,5,3,8,6,7,2,1]=>[1,2,7,6,8,3,5,4]
[3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]
[2,6,8,5,4,7,3,1]=>[1,3,7,4,5,8,6,2]
[1,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,1]
[2,5,8,6,4,7,3,1]=>[1,3,7,4,6,8,5,2]
[7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7]
[6,3,7,8,4,5,2,1]=>[1,2,5,4,8,7,3,6]
[4,3,7,8,5,6,2,1]=>[1,2,6,5,8,7,3,4]
[5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]
[4,2,8,6,5,7,3,1]=>[1,3,7,5,6,8,2,4]
[3,2,8,6,7,4,5,1]=>[1,5,4,7,6,8,2,3]
[2,3,8,7,5,4,6,1]=>[1,6,4,5,7,8,3,2]
[1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]
[7,2,8,6,3,4,5,1]=>[1,5,4,3,6,8,2,7]
[6,2,8,4,5,7,3,1]=>[1,3,7,5,4,8,2,6]
[5,2,8,4,6,7,3,1]=>[1,3,7,6,4,8,2,5]
[4,2,8,5,6,7,3,1]=>[1,3,7,6,5,8,2,4]
[4,3,6,8,5,7,2,1]=>[1,2,7,5,8,6,3,4]
[3,4,6,8,7,2,5,1]=>[1,5,2,7,8,6,4,3]
[7,3,5,8,6,2,4,1]=>[1,4,2,6,8,5,3,7]
[1,8,3,5,7,4,6,2]=>[2,6,4,7,5,3,8,1]
[2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]
[3,7,5,8,4,6,2,1]=>[1,2,6,4,8,5,7,3]
[5,7,4,6,8,3,2,1]=>[1,2,3,8,6,4,7,5]
[3,6,5,8,4,7,2,1]=>[1,2,7,4,8,5,6,3]
[2,6,8,4,5,7,3,1]=>[1,3,7,5,4,8,6,2]
[4,2,7,1,3,8,5,6]=>[6,5,8,3,1,7,2,4]
[4,2,5,1,3,8,6,7]=>[7,6,8,3,1,5,2,4]
[5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]
[3,7,1,2,5,8,6,4]=>[4,6,8,5,2,1,7,3]
[3,7,4,1,2,8,5,6]=>[6,5,8,2,1,4,7,3]
[7,5,1,3,4,8,6,2]=>[2,6,8,4,3,1,5,7]
[7,5,1,2,4,8,6,3]=>[3,6,8,4,2,1,5,7]
[6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]
[7,6,3,8,1,2,5,4]=>[4,5,2,1,8,3,6,7]
[7,4,2,3,8,1,6,5]=>[5,6,1,8,3,2,4,7]
[4,7,5,2,8,1,3,6]=>[6,3,1,8,2,5,7,4]
[8,2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2,8]
[8,6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6,8]
[8,4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4,8]
[8,5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5,8]
[8,5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5,8]
[8,6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6,8]
[3,8,5,6,1,2,4,7]=>[7,4,2,1,6,5,8,3]
[3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]
[7,6,4,8,1,3,5,2]=>[2,5,3,1,8,4,6,7]
[6,5,8,1,2,4,7,3]=>[3,7,4,2,1,8,5,6]
[3,6,8,1,2,5,7,4]=>[4,7,5,2,1,8,6,3]
[3,7,2,4,8,1,6,5]=>[5,6,1,8,4,2,7,3]
[4,6,3,8,1,2,5,7]=>[7,5,2,1,8,3,6,4]
[4,6,3,7,1,2,5,8]=>[8,5,2,1,7,3,6,4]
[4,1,7,8,2,3,6,5]=>[5,6,3,2,8,7,1,4]
[5,1,2,8,6,3,4,7]=>[7,4,3,6,8,2,1,5]
[5,3,8,1,6,2,4,7]=>[7,4,2,6,1,8,3,5]
[6,1,8,5,2,3,4,7]=>[7,4,3,2,5,8,1,6]
[6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]
[6,8,1,3,7,4,5,2]=>[2,5,4,7,3,1,8,6]
[7,2,8,1,6,3,4,5]=>[5,4,3,6,1,8,2,7]
[4,7,8,2,5,1,3,6]=>[6,3,1,5,2,8,7,4]
[6,8,2,7,1,4,5,3]=>[3,5,4,1,7,2,8,6]
[4,8,7,1,3,5,6,2]=>[2,6,5,3,1,7,8,4]
[3,8,7,1,2,4,6,5]=>[5,6,4,2,1,7,8,3]
[4,8,7,1,2,3,6,5]=>[5,6,3,2,1,7,8,4]
[5,8,7,1,2,4,6,3]=>[3,6,4,2,1,7,8,5]
[5,8,7,1,3,4,6,2]=>[2,6,4,3,1,7,8,5]
[7,1,8,6,2,3,5,4]=>[4,5,3,2,6,8,1,7]
[5,8,6,4,1,2,3,7]=>[7,3,2,1,4,6,8,5]
[7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]
[7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]
[1,4,8,2,7,5,3,6]=>[6,3,5,7,2,8,4,1]
[6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]
[7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]
[6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]
[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]
[5,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,5]
[6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]
[6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]
[3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]
[2,3,8,7,4,1,5,6]=>[6,5,1,4,7,8,3,2]
[2,7,3,8,6,4,1,5]=>[5,1,4,6,8,3,7,2]
[1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]
[5,2,7,1,4,6,8,3]=>[3,8,6,4,1,7,2,5]
[4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]
[6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]
[5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]
[5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]
[5,7,4,1,2,6,3,8]=>[8,3,6,2,1,4,7,5]
[4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]
[4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]
[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]
[3,1,2,4,6,8,7,5]=>[5,7,8,6,4,2,1,3]
[3,1,8,4,5,7,6,2]=>[2,6,7,5,4,8,1,3]
[3,2,8,5,4,7,1,6]=>[6,1,7,4,5,8,2,3]
[4,2,8,1,5,3,7,6]=>[6,7,3,5,1,8,2,4]
[4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]
[4,8,2,1,6,3,7,5]=>[5,7,3,6,1,2,8,4]
[3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]
[3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]
[3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]
[3,7,8,5,2,1,6,4]=>[4,6,1,2,5,8,7,3]
[3,7,2,8,4,1,6,5]=>[5,6,1,4,8,2,7,3]
[2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]
[2,8,7,5,1,6,4,3]=>[3,4,6,1,5,7,8,2]
[2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]
[5,1,3,4,6,7,2,8]=>[8,2,7,6,4,3,1,5]
[1,3,4,8,7,5,2,6]=>[6,2,5,7,8,4,3,1]
[8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]
[8,6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6,8]
[3,6,1,4,2,8,7,5]=>[5,7,8,2,4,1,6,3]
[1,6,8,4,3,7,2,5]=>[5,2,7,3,4,8,6,1]
[3,1,4,7,8,5,2,6]=>[6,2,5,8,7,4,1,3]
[6,1,7,4,3,8,2,5]=>[5,2,8,3,4,7,1,6]
[1,8,7,4,3,6,2,5]=>[5,2,6,3,4,7,8,1]
[7,4,1,3,8,2,6,5]=>[5,6,2,8,3,1,4,7]
[4,8,2,3,1,5,7,6]=>[6,7,5,1,3,2,8,4]
[4,8,6,2,1,3,7,5]=>[5,7,3,1,2,6,8,4]
[2,7,4,1,8,3,5,6]=>[6,5,3,8,1,4,7,2]
[1,7,8,4,2,3,6,5]=>[5,6,3,2,4,8,7,1]
[4,7,1,3,8,2,6,5]=>[5,6,2,8,3,1,7,4]
[8,7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7,8]
[1,7,4,3,6,2,8,5]=>[5,8,2,6,3,4,7,1]
[3,8,6,4,5,2,1,7]=>[7,1,2,5,4,6,8,3]
[3,8,4,6,5,2,1,7]=>[7,1,2,5,6,4,8,3]
[2,4,3,7,5,8,1,6]=>[6,1,8,5,7,3,4,2]
[1,4,7,3,6,2,8,5]=>[5,8,2,6,3,7,4,1]
[1,8,3,4,2,6,7,5]=>[5,7,6,2,4,3,8,1]
[6,4,1,3,7,2,8,5]=>[5,8,2,7,3,1,4,6]
[8,1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1,8]
[4,2,3,8,5,7,1,6]=>[6,1,7,5,8,3,2,4]
[2,8,5,7,3,4,1,6]=>[6,1,4,3,7,5,8,2]
[5,8,2,6,4,3,1,7]=>[7,1,3,4,6,2,8,5]
[7,2,5,8,4,3,1,6]=>[6,1,3,4,8,5,2,7]
[4,2,3,5,8,7,1,6]=>[6,1,7,8,5,3,2,4]
[8,2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2,8]
[6,1,8,3,4,2,7,5]=>[5,7,2,4,3,8,1,6]
[1,8,6,4,2,3,7,5]=>[5,7,3,2,4,6,8,1]
[3,8,4,5,6,2,1,7]=>[7,1,2,6,5,4,8,3]
[2,4,3,5,7,8,1,6]=>[6,1,8,7,5,3,4,2]
[3,8,6,5,4,2,1,7]=>[7,1,2,4,5,6,8,3]
[6,3,1,4,2,8,7,5]=>[5,7,8,2,4,1,3,6]
[7,3,8,1,2,6,4,5]=>[5,4,6,2,1,8,3,7]
[7,1,4,5,3,2,6,8]=>[8,6,2,3,5,4,1,7]
[1,8,4,2,6,5,3,7]=>[7,3,5,6,2,4,8,1]
[5,1,4,8,6,3,2,7]=>[7,2,3,6,8,4,1,5]
[5,3,1,8,4,7,2,6]=>[6,2,7,4,8,1,3,5]
[4,3,8,1,5,7,2,6]=>[6,2,7,5,1,8,3,4]
[6,3,1,2,5,7,4,8]=>[8,4,7,5,2,1,3,6]
[7,1,4,2,6,5,3,8]=>[8,3,5,6,2,4,1,7]
[3,8,4,1,6,5,2,7]=>[7,2,5,6,1,4,8,3]
[7,5,3,6,4,8,2,1]=>[1,2,8,4,6,3,5,7]
[7,3,6,4,5,8,2,1]=>[1,2,8,5,4,6,3,7]
[8,7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7,8]
[7,1,5,4,8,6,3,2]=>[2,3,6,8,4,5,1,7]
[2,7,5,4,8,6,3,1]=>[1,3,6,8,4,5,7,2]
[2,1,8,7,5,3,6,4]=>[4,6,3,5,7,8,1,2]
[5,8,3,7,4,1,6,2]=>[2,6,1,4,7,3,8,5]
[8,1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1,8]
[5,6,3,1,8,4,7,2]=>[2,7,4,8,1,3,6,5]
[5,7,1,4,8,6,3,2]=>[2,3,6,8,4,1,7,5]
[3,5,7,4,8,6,2,1]=>[1,2,6,8,4,7,5,3]
[2,6,7,4,5,8,3,1]=>[1,3,8,5,4,7,6,2]
[6,1,7,4,5,8,3,2]=>[2,3,8,5,4,7,1,6]
[5,3,7,4,8,6,2,1]=>[1,2,6,8,4,7,3,5]
[8,5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5,8]
[5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]
[6,5,3,7,4,8,2,1]=>[1,2,8,4,7,3,5,6]
[7,5,8,4,1,6,3,2]=>[2,3,6,1,4,8,5,7]
[2,7,8,4,5,1,6,3]=>[3,6,1,5,4,8,7,2]
[5,7,3,8,4,1,6,2]=>[2,6,1,4,8,3,7,5]
[5,6,3,8,1,4,7,2]=>[2,7,4,1,8,3,6,5]
[8,4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4,8]
[3,7,8,4,1,6,5,2]=>[2,5,6,1,4,8,7,3]
[6,8,3,1,2,5,7,4]=>[4,7,5,2,1,3,8,6]
[8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]
[8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]
[7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]
[7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]
[8,7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7,8]
[3,6,2,1,5,4,8,7]=>[7,8,4,5,1,2,6,3]
[5,4,2,6,1,3,8,7]=>[7,8,3,1,6,2,4,5]
[3,2,6,5,1,4,8,7]=>[7,8,4,1,5,6,2,3]
[2,5,8,1,7,4,3,6]=>[6,3,4,7,1,8,5,2]
[6,8,2,7,4,3,1,5]=>[5,1,3,4,7,2,8,6]
[6,8,2,3,7,5,1,4]=>[4,1,5,7,3,2,8,6]
[7,6,2,5,4,8,1,3]=>[3,1,8,4,5,2,6,7]
[2,6,5,1,8,4,3,7]=>[7,3,4,8,1,5,6,2]
[4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]
[4,2,3,7,1,5,8,6]=>[6,8,5,1,7,3,2,4]
[5,2,7,3,8,6,1,4]=>[4,1,6,8,3,7,2,5]
[2,1,5,8,4,3,7,6]=>[6,7,3,4,8,5,1,2]
[5,8,4,2,6,7,1,3]=>[3,1,7,6,2,4,8,5]
[3,2,4,8,1,5,7,6]=>[6,7,5,1,8,4,2,3]
[2,4,8,3,1,7,5,6]=>[6,5,7,1,3,8,4,2]
[4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]
[4,1,3,7,2,6,8,5]=>[5,8,6,2,7,3,1,4]
[3,4,8,2,1,6,5,7]=>[7,5,6,1,2,8,4,3]
[6,8,3,7,2,1,5,4]=>[4,5,1,2,7,3,8,6]
[3,5,8,1,7,2,6,4]=>[4,6,2,7,1,8,5,3]
[5,1,7,4,6,8,3,2]=>[2,3,8,6,4,7,1,5]
[7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]
[5,3,7,1,8,2,6,4]=>[4,6,2,8,1,7,3,5]
[2,7,6,3,8,1,4,5]=>[5,4,1,8,3,6,7,2]
[2,1,7,6,4,8,3,5]=>[5,3,8,4,6,7,1,2]
[2,1,5,4,8,7,3,6]=>[6,3,7,8,4,5,1,2]
[5,4,8,7,2,6,1,3]=>[3,1,6,2,7,8,4,5]
[2,4,3,8,7,1,5,6]=>[6,5,1,7,8,3,4,2]
[3,4,1,8,6,2,7,5]=>[5,7,2,6,8,1,4,3]
[3,8,5,4,2,1,7,6]=>[6,7,1,2,4,5,8,3]
[4,8,6,5,2,7,1,3]=>[3,1,7,2,5,6,8,4]
[3,2,8,7,5,4,1,6]=>[6,1,4,5,7,8,2,3]
[2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]
[5,4,2,6,3,1,8,7]=>[7,8,1,3,6,2,4,5]
[6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]
[8,5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5,8]
[7,3,6,5,2,8,4,1]=>[1,4,8,2,5,6,3,7]
[7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]
[8,7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7,8]
[7,1,5,3,8,4,6,2]=>[2,6,4,8,3,5,1,7]
[6,7,2,3,5,8,4,1]=>[1,4,8,5,3,2,7,6]
[3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]
[2,1,7,6,4,8,5,3]=>[3,5,8,4,6,7,1,2]
[2,1,8,7,4,3,5,6]=>[6,5,3,4,7,8,1,2]
[5,8,3,7,2,1,4,6]=>[6,4,1,2,7,3,8,5]
[3,8,7,4,2,1,5,6]=>[6,5,1,2,4,7,8,3]
[7,8,2,3,5,1,4,6]=>[6,4,1,5,3,2,8,7]
[2,8,6,3,1,4,7,5]=>[5,7,4,1,3,6,8,2]
[8,1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1,8]
[5,7,1,4,8,3,6,2]=>[2,6,3,8,4,1,7,5]
[6,1,7,5,4,8,3,2]=>[2,3,8,4,5,7,1,6]
[6,3,7,5,8,4,2,1]=>[1,2,4,8,5,7,3,6]
[7,6,1,5,8,3,4,2]=>[2,4,3,8,5,1,6,7]
[8,6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6,8]
[8,5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5,8]
[5,4,2,6,8,3,7,1]=>[1,7,3,8,6,2,4,5]
[6,5,2,8,1,4,3,7]=>[7,3,4,1,8,2,5,6]
[7,4,2,8,1,3,6,5]=>[5,6,3,1,8,2,4,7]
[2,7,8,4,5,1,3,6]=>[6,3,1,5,4,8,7,2]
[5,7,3,8,4,1,2,6]=>[6,2,1,4,8,3,7,5]
[2,4,8,1,5,6,3,7]=>[7,3,6,5,1,8,4,2]
[3,4,8,1,5,2,7,6]=>[6,7,2,5,1,8,4,3]
[3,6,8,4,1,2,7,5]=>[5,7,2,1,4,8,6,3]
[4,8,1,2,5,3,6,7]=>[7,6,3,5,2,1,8,4]
[8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]
[5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]
[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]
[3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]
[5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]
[6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]
[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]
[4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]
[3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]
[7,5,8,4,6,3,1,2]=>[2,1,3,6,4,8,5,7]
[7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]
[3,5,2,4,7,6,1,8]=>[8,1,6,7,4,2,5,3]
[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]
[3,5,4,7,6,1,2,8]=>[8,2,1,6,7,4,5,3]
[3,5,4,7,6,1,8,2]=>[2,8,1,6,7,4,5,3]
[3,5,7,4,6,1,8,2]=>[2,8,1,6,4,7,5,3]
[3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]
[3,5,7,4,6,2,1,8]=>[8,1,2,6,4,7,5,3]
[3,2,5,7,4,6,1,8]=>[8,1,6,4,7,5,2,3]
[3,5,2,7,6,4,1,8]=>[8,1,4,6,7,2,5,3]
[3,5,7,2,6,4,1,8]=>[8,1,4,6,2,7,5,3]
[5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]
[5,3,7,6,1,2,8,4]=>[4,8,2,1,6,7,3,5]
[5,3,7,6,1,4,2,8]=>[8,2,4,1,6,7,3,5]
[5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]
[3,5,7,2,6,1,4,8]=>[8,4,1,6,2,7,5,3]
[3,5,2,7,6,1,4,8]=>[8,4,1,6,7,2,5,3]
[5,3,7,6,4,1,8,2]=>[2,8,1,4,6,7,3,5]
[3,7,5,4,1,8,2,6]=>[6,2,8,1,4,5,7,3]
[3,7,5,4,1,8,6,2]=>[2,6,8,1,4,5,7,3]
[3,7,5,1,4,8,6,2]=>[2,6,8,4,1,5,7,3]
[3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]
[3,5,7,1,2,6,8,4]=>[4,8,6,2,1,7,5,3]
[3,5,7,2,1,6,8,4]=>[4,8,6,1,2,7,5,3]
[3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]
[3,5,7,2,1,6,4,8]=>[8,4,6,1,2,7,5,3]
[5,3,7,1,6,2,4,8]=>[8,4,2,6,1,7,3,5]
[3,5,7,1,4,6,8,2]=>[2,8,6,4,1,7,5,3]
[3,5,7,1,4,6,2,8]=>[8,2,6,4,1,7,5,3]
[3,5,7,2,1,4,6,8]=>[8,6,4,1,2,7,5,3]
[3,5,2,7,1,4,6,8]=>[8,6,4,1,7,2,5,3]
[3,2,5,7,4,1,6,8]=>[8,6,1,4,7,5,2,3]
[3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]
[3,5,7,4,2,1,6,8]=>[8,6,1,2,4,7,5,3]
[3,5,7,4,1,2,6,8]=>[8,6,2,1,4,7,5,3]
[3,5,4,7,1,6,8,2]=>[2,8,6,1,7,4,5,3]
[3,5,4,7,1,2,6,8]=>[8,6,2,1,7,4,5,3]
[3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]
[3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]
[3,2,5,4,7,1,6,8]=>[8,6,1,7,4,5,2,3]
[3,5,4,7,2,1,8,6]=>[6,8,1,2,7,4,5,3]
[3,5,4,7,1,2,8,6]=>[6,8,2,1,7,4,5,3]
[5,7,6,3,1,8,4,2]=>[2,4,8,1,3,6,7,5]
[5,7,6,3,1,8,2,4]=>[4,2,8,1,3,6,7,5]
[3,5,7,4,2,1,8,6]=>[6,8,1,2,4,7,5,3]
[3,2,5,7,4,1,8,6]=>[6,8,1,4,7,5,2,3]
[3,2,5,7,1,4,8,6]=>[6,8,4,1,7,5,2,3]
[3,5,2,7,1,4,8,6]=>[6,8,4,1,7,2,5,3]
[3,5,7,2,1,4,8,6]=>[6,8,4,1,2,7,5,3]
[3,5,7,1,4,2,8,6]=>[6,8,2,4,1,7,5,3]
[3,7,5,2,1,8,6,4]=>[4,6,8,1,2,5,7,3]
[3,7,2,5,1,8,6,4]=>[4,6,8,1,5,2,7,3]
[3,2,7,5,1,8,6,4]=>[4,6,8,1,5,7,2,3]
[3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]
[3,7,2,5,1,8,4,6]=>[6,4,8,1,5,2,7,3]
[3,7,5,2,1,8,4,6]=>[6,4,8,1,2,5,7,3]
[6,1,2,5,7,4,8,3]=>[3,8,4,7,5,2,1,6]
[6,3,2,7,4,1,8,5]=>[5,8,1,4,7,2,3,6]
[2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]
[2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]
[2,1,8,3,4,7,5,6]=>[6,5,7,4,3,8,1,2]
[5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]
[3,4,2,6,7,1,8,5]=>[5,8,1,7,6,2,4,3]
[3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]
[5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]
[5,8,7,2,4,1,6,3]=>[3,6,1,4,2,7,8,5]
[3,8,6,4,1,7,5,2]=>[2,5,7,1,4,6,8,3]
[4,3,5,6,8,1,7,2]=>[2,7,1,8,6,5,3,4]
[3,7,6,4,1,8,5,2]=>[2,5,8,1,4,6,7,3]
[3,7,4,1,8,6,5,2]=>[2,5,6,8,1,4,7,3]
[3,8,4,1,7,6,5,2]=>[2,5,6,7,1,4,8,3]
[3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]
[3,2,8,7,6,1,5,4]=>[4,5,1,6,7,8,2,3]
[5,7,8,2,4,1,6,3]=>[3,6,1,4,2,8,7,5]
[4,2,5,8,1,6,7,3]=>[3,7,6,1,8,5,2,4]
[4,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,4]
[5,8,2,4,1,6,3,7]=>[7,3,6,1,4,2,8,5]
[8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]
[3,2,6,8,1,5,4,7]=>[7,4,5,1,8,6,2,3]
[8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]
[3,2,8,6,7,1,5,4]=>[4,5,1,7,6,8,2,3]
[3,2,6,8,7,1,5,4]=>[4,5,1,7,8,6,2,3]
[3,2,6,7,1,5,4,8]=>[8,4,5,1,7,6,2,3]
[8,7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7,8]
[7,2,8,1,5,3,6,4]=>[4,6,3,5,1,8,2,7]
[8,4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4,8]
[7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]
[7,2,4,1,8,3,6,5]=>[5,6,3,8,1,4,2,7]
[3,2,8,5,7,1,4,6]=>[6,4,1,7,5,8,2,3]
[2,6,5,7,1,8,3,4]=>[4,3,8,1,7,5,6,2]
[2,5,1,8,7,4,3,6]=>[6,3,4,7,8,1,5,2]
[8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]
[8,3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3,8]
[8,6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6,8]
[5,4,7,6,8,2,3,1]=>[1,3,2,8,6,7,4,5]
[4,1,8,2,3,7,6,5]=>[5,6,7,3,2,8,1,4]
[2,1,8,5,3,4,7,6]=>[6,7,4,3,5,8,1,2]
[5,2,4,6,8,7,3,1]=>[1,3,7,8,6,4,2,5]
[1,6,8,3,4,5,7,2]=>[2,7,5,4,3,8,6,1]
[5,7,4,8,6,1,3,2]=>[2,3,1,6,8,4,7,5]
[5,4,2,6,7,8,1,3]=>[3,1,8,7,6,2,4,5]
[6,4,2,7,3,5,8,1]=>[1,8,5,3,7,2,4,6]
[7,4,1,8,3,5,6,2]=>[2,6,5,3,8,1,4,7]
[6,5,4,8,7,3,1,2]=>[2,1,3,7,8,4,5,6]
[8,7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7,8]
[8,7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7,8]
[6,8,2,3,1,7,5,4]=>[4,5,7,1,3,2,8,6]
[7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]
[2,7,4,3,8,5,6,1]=>[1,6,5,8,3,4,7,2]
[8,3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3,8]
[5,7,8,2,4,3,1,6]=>[6,1,3,4,2,8,7,5]
[8,4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4,8]
[8,3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3,8]
[3,2,5,7,4,8,1,6]=>[6,1,8,4,7,5,2,3]
[8,2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2,8]
[7,1,6,3,5,8,2,4]=>[4,2,8,5,3,6,1,7]
[2,8,5,6,7,1,4,3]=>[3,4,1,7,6,5,8,2]
[1,5,2,7,8,6,4,3]=>[3,4,6,8,7,2,5,1]
[2,6,8,5,1,4,7,3]=>[3,7,4,1,5,8,6,2]
[1,4,2,8,6,5,7,3]=>[3,7,5,6,8,2,4,1]
[3,5,1,6,8,7,2,4]=>[4,2,7,8,6,1,5,3]
[5,7,6,2,1,3,8,4]=>[4,8,3,1,2,6,7,5]
[2,5,8,7,4,1,6,3]=>[3,6,1,4,7,8,5,2]
[4,1,7,5,2,6,8,3]=>[3,8,6,2,5,7,1,4]
[7,6,2,4,5,1,8,3]=>[3,8,1,5,4,2,6,7]
[7,3,4,2,5,8,6,1]=>[1,6,8,5,2,4,3,7]
[8,7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7,8]
[8,1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1,8]
[5,2,4,8,6,7,1,3]=>[3,1,7,6,8,4,2,5]
[8,5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5,8]
[4,2,1,5,6,7,8,3]=>[3,8,7,6,5,1,2,4]
[3,4,6,5,1,7,8,2]=>[2,8,7,1,5,6,4,3]
[7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]
[5,3,7,2,4,6,1,8]=>[8,1,6,4,2,7,3,5]
[3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]
[5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]
[1,5,3,2,4,7,6,8]=>[8,6,7,4,2,3,5,1]
[1,5,3,2,7,4,6,8]=>[8,6,4,7,2,3,5,1]
[5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]
[5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]
[3,7,2,5,4,1,6,8]=>[8,6,1,4,5,2,7,3]
[5,1,3,2,4,7,6,8]=>[8,6,7,4,2,3,1,5]
[5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]
[7,1,3,2,5,4,6,8]=>[8,6,4,5,2,3,1,7]
[1,7,3,2,5,4,6,8]=>[8,6,4,5,2,3,7,1]
[7,1,3,5,2,4,6,8]=>[8,6,4,2,5,3,1,7]
[5,1,3,7,2,4,6,8]=>[8,6,4,2,7,3,1,5]
[3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]
[3,7,5,1,2,4,6,8]=>[8,6,4,2,1,5,7,3]
[5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]
[1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]
[5,3,2,7,4,1,6,8]=>[8,6,1,4,7,2,3,5]
[5,3,2,4,7,1,6,8]=>[8,6,1,7,4,2,3,5]
[5,3,2,1,4,7,6,8]=>[8,6,7,4,1,2,3,5]
[5,3,2,1,7,4,6,8]=>[8,6,4,7,1,2,3,5]
[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]
[1,3,7,2,5,4,6,8]=>[8,6,4,5,2,7,3,1]
[7,3,1,2,5,4,6,8]=>[8,6,4,5,2,1,3,7]
[5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]
[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]
[3,2,5,1,4,7,6,8]=>[8,6,7,4,1,5,2,3]
[7,3,1,5,2,4,6,8]=>[8,6,4,2,5,1,3,7]
[1,3,7,5,2,4,6,8]=>[8,6,4,2,5,7,3,1]
[7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]
[5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]
[3,7,1,5,2,4,6,8]=>[8,6,4,2,5,1,7,3]
[3,7,1,2,5,4,6,8]=>[8,6,4,5,2,1,7,3]
[3,7,2,1,5,4,6,8]=>[8,6,4,5,1,2,7,3]
[3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]
[3,1,2,7,5,4,6,8]=>[8,6,4,5,7,2,1,3]
[3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]
[3,1,7,5,2,4,6,8]=>[8,6,4,2,5,7,1,3]
[7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]
[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]
[1,8,7,4,2,6,5,3]=>[3,5,6,2,4,7,8,1]
[2,8,5,1,7,6,4,3]=>[3,4,6,7,1,5,8,2]
[6,8,5,1,2,7,4,3]=>[3,4,7,2,1,5,8,6]
[2,8,1,4,7,6,5,3]=>[3,5,6,7,4,1,8,2]
[1,8,7,4,3,2,6,5]=>[5,6,2,3,4,7,8,1]
[1,8,5,4,2,7,6,3]=>[3,6,7,2,4,5,8,1]
[7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]
[8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]
[8,5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5,8]
[8,5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5,8]
[8,7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7,8]
[1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]
[3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]
[3,5,1,4,8,2,7,6]=>[6,7,2,8,4,1,5,3]
[1,7,5,4,8,2,6,3]=>[3,6,2,8,4,5,7,1]
[3,7,5,1,6,4,8,2]=>[2,8,4,6,1,5,7,3]
[2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]
[2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]
[1,7,5,4,8,6,3,2]=>[2,3,6,8,4,5,7,1]
[2,5,1,4,8,7,3,6]=>[6,3,7,8,4,1,5,2]
[3,6,4,2,8,7,1,5]=>[5,1,7,8,2,4,6,3]
[3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]
[3,5,6,4,8,1,2,7]=>[7,2,1,8,4,6,5,3]
[1,5,6,4,8,7,2,3]=>[3,2,7,8,4,6,5,1]
[3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]
[3,6,4,5,8,7,2,1]=>[1,2,7,8,5,4,6,3]
[1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]
[7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]
[7,6,1,4,5,3,8,2]=>[2,8,3,5,4,1,6,7]
[7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]
[7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]
[1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]
[7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]
[7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]
[2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]
[7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]
[7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]
[7,3,6,5,1,4,8,2]=>[2,8,4,1,5,6,3,7]
[7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]
[7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]
[7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]
[2,6,4,5,8,1,7,3]=>[3,7,1,8,5,4,6,2]
[1,5,6,4,8,3,7,2]=>[2,7,3,8,4,6,5,1]
[2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]
[3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]
[7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]
[7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]
[7,6,1,5,3,4,8,2]=>[2,8,4,3,5,1,6,7]
[7,6,1,5,4,3,8,2]=>[2,8,3,4,5,1,6,7]
[1,6,4,5,8,3,2,7]=>[7,2,3,8,5,4,6,1]
[7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]
[3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]
[3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]
[4,2,1,5,3,7,8,6]=>[6,8,7,3,5,1,2,4]
[4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]
[3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]
[4,1,5,6,3,2,8,7]=>[7,8,2,3,6,5,1,4]
[4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]
[4,1,3,5,2,7,8,6]=>[6,8,7,2,5,3,1,4]
[2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]
[3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]
[4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]
[4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]
[4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]
[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]
[3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]
[5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]
[5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]
[4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]
[4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]
[4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]
[3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]
[3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]
[3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]
[4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]
[3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]
[5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]
[3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]
[2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]
[3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]
[5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]
[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]
[6,4,2,5,3,8,1,7]=>[7,1,8,3,5,2,4,6]
[4,6,2,3,5,1,8,7]=>[7,8,1,5,3,2,6,4]
[6,2,4,5,1,8,3,7]=>[7,3,8,1,5,4,2,6]
[8,2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2,8]
[8,2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2,8]
[4,6,2,3,5,8,1,7]=>[7,1,8,5,3,2,6,4]
[2,6,4,1,5,8,3,7]=>[7,3,8,5,1,4,6,2]
[2,8,1,6,7,4,5,3]=>[3,5,4,7,6,1,8,2]
[6,8,4,5,7,2,3,1]=>[1,3,2,7,5,4,8,6]
[2,8,6,1,4,7,5,3]=>[3,5,7,4,1,6,8,2]
[2,8,1,6,4,7,5,3]=>[3,5,7,4,6,1,8,2]
[2,6,1,4,8,5,3,7]=>[7,3,5,8,4,1,6,2]
[6,4,5,2,8,3,1,7]=>[7,1,3,8,2,5,4,6]
[4,2,3,6,1,8,5,7]=>[7,5,8,1,6,3,2,4]
[4,2,3,1,6,8,5,7]=>[7,5,8,6,1,3,2,4]
[4,2,3,8,6,1,7,5]=>[5,7,1,6,8,3,2,4]
[6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]
[8,6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6,8]
[6,4,8,5,2,3,7,1]=>[1,7,3,2,5,8,4,6]
[4,2,8,3,1,6,7,5]=>[5,7,6,1,3,8,2,4]
[2,4,8,1,3,6,7,5]=>[5,7,6,3,1,8,4,2]
[2,4,1,8,3,6,7,5]=>[5,7,6,3,8,1,4,2]
[2,1,4,8,6,3,7,5]=>[5,7,3,6,8,4,1,2]
[6,4,8,2,5,3,7,1]=>[1,7,3,5,2,8,4,6]
[8,6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6,8]
[4,6,8,2,3,5,7,1]=>[1,7,5,3,2,8,6,4]
[2,6,8,4,1,5,7,3]=>[3,7,5,1,4,8,6,2]
[2,6,8,1,4,5,7,3]=>[3,7,5,4,1,8,6,2]
[2,1,6,8,4,5,7,3]=>[3,7,5,4,8,6,1,2]
[2,8,1,4,6,7,3,5]=>[5,3,7,6,4,1,8,2]
[4,8,6,2,3,7,5,1]=>[1,5,7,3,2,6,8,4]
[8,4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4,8]
[7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]
[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]
[7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]
[1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]
[6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]
[6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]
[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]
[2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]
[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]
[5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]
[5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]
[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]
[6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]
[4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]
[4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]
[4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]
[3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]
[3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]
[3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]
[4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]
[1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]
[4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]
[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]
[1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]
[1,3,6,4,2,5,8,7]=>[7,8,5,2,4,6,3,1]
[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]
[5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]
[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]
[7,2,8,3,4,1,5,6]=>[6,5,1,4,3,8,2,7]
[7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]
[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]
[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]
[7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]
[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]
[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]
[1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]
[4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]
[4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]
[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]
[3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]
[5,1,8,3,6,4,7,2]=>[2,7,4,6,3,8,1,5]
[3,6,8,5,7,2,1,4]=>[4,1,2,7,5,8,6,3]
[5,1,3,8,7,6,4,2]=>[2,4,6,7,8,3,1,5]
[3,8,5,6,1,7,2,4]=>[4,2,7,1,6,5,8,3]
[3,4,8,1,7,6,2,5]=>[5,2,6,7,1,8,4,3]
[4,7,6,8,5,1,3,2]=>[2,3,1,5,8,6,7,4]
[6,7,4,8,5,1,3,2]=>[2,3,1,5,8,4,7,6]
[5,3,6,8,7,1,4,2]=>[2,4,1,7,8,6,3,5]
[1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]
[5,2,8,3,7,1,6,4]=>[4,6,1,7,3,8,2,5]
[7,4,5,8,6,1,3,2]=>[2,3,1,6,8,5,4,7]
[4,3,6,8,7,1,5,2]=>[2,5,1,7,8,6,3,4]
[6,4,8,3,1,7,5,2]=>[2,5,7,1,3,8,4,6]
[3,6,5,8,7,1,4,2]=>[2,4,1,7,8,5,6,3]
[5,7,4,8,2,6,3,1]=>[1,3,6,2,8,4,7,5]
[5,6,4,8,2,7,3,1]=>[1,3,7,2,8,4,6,5]
[5,6,8,3,1,7,4,2]=>[2,4,7,1,3,8,6,5]
[4,6,3,8,2,7,5,1]=>[1,5,7,2,8,3,6,4]
[5,3,8,1,7,2,6,4]=>[4,6,2,7,1,8,3,5]
[6,5,8,1,3,7,4,2]=>[2,4,7,3,1,8,5,6]
[6,5,3,8,2,7,4,1]=>[1,4,7,2,8,3,5,6]
[6,4,8,1,3,7,5,2]=>[2,5,7,3,1,8,4,6]
[6,2,8,3,4,7,5,1]=>[1,5,7,4,3,8,2,6]
[7,6,3,1,4,2,5,8]=>[8,5,2,4,1,3,6,7]
[1,5,4,3,7,8,2,6]=>[6,2,8,7,3,4,5,1]
[7,8,4,2,5,3,1,6]=>[6,1,3,5,2,4,8,7]
[4,2,7,8,5,3,1,6]=>[6,1,3,5,8,7,2,4]
[4,2,5,3,1,7,8,6]=>[6,8,7,1,3,5,2,4]
[4,2,8,7,6,3,1,5]=>[5,1,3,6,7,8,2,4]
[4,2,7,6,3,1,5,8]=>[8,5,1,3,6,7,2,4]
[6,3,1,7,5,2,4,8]=>[8,4,2,5,7,1,3,6]
[6,3,1,8,7,5,2,4]=>[4,2,5,7,8,1,3,6]
[8,6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6,8]
[4,2,7,6,3,1,8,5]=>[5,8,1,3,6,7,2,4]
[7,6,3,1,8,4,2,5]=>[5,2,4,8,1,3,6,7]
[7,6,4,2,1,8,3,5]=>[5,3,8,1,2,4,6,7]
[1,8,2,7,6,4,3,5]=>[5,3,4,6,7,2,8,1]
[8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8]
[8,4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4,8]
[7,5,2,4,8,6,3,1]=>[1,3,6,8,4,2,5,7]
[8,7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7,8]
[7,5,2,4,6,3,1,8]=>[8,1,3,6,4,2,5,7]
[5,2,8,6,3,7,4,1]=>[1,4,7,3,6,8,2,5]
[8,4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4,8]
[8,3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3,8]
[1,8,2,7,5,3,6,4]=>[4,6,3,5,7,2,8,1]
[7,5,2,1,8,3,6,4]=>[4,6,3,8,1,2,5,7]
[7,5,2,6,3,1,8,4]=>[4,8,1,3,6,2,5,7]
[5,2,7,4,1,8,6,3]=>[3,6,8,1,4,7,2,5]
[5,2,8,7,4,1,6,3]=>[3,6,1,4,7,8,2,5]
[8,7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7,8]
[7,4,1,5,2,8,6,3]=>[3,6,8,2,5,1,4,7]
[7,6,3,1,4,2,8,5]=>[5,8,2,4,1,3,6,7]
[7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]
[8,7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7,8]
[7,5,2,1,3,6,4,8]=>[8,4,6,3,1,2,5,7]
[8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]
[7,5,2,1,3,8,6,4]=>[4,6,8,3,1,2,5,7]
[1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]
[8,6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6,8]
[6,4,8,7,5,2,1,3]=>[3,1,2,5,7,8,4,6]
[6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]
[6,3,1,4,7,5,2,8]=>[8,2,5,7,4,1,3,6]
[6,3,1,4,8,7,5,2]=>[2,5,7,8,4,1,3,6]
[8,6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6,8]
[8,5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5,8]
[1,8,2,5,7,6,4,3]=>[3,4,6,7,5,2,8,1]
[1,8,2,6,4,7,5,3]=>[3,5,7,4,6,2,8,1]
[7,5,2,1,6,4,8,3]=>[3,8,4,6,1,2,5,7]
[6,3,8,7,4,1,5,2]=>[2,5,1,4,7,8,3,6]
[6,3,7,4,1,5,2,8]=>[8,2,5,1,4,7,3,6]
[7,4,1,6,3,5,2,8]=>[8,2,5,3,6,1,4,7]
[7,4,1,8,6,3,5,2]=>[2,5,3,6,8,1,4,7]
[8,4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4,8]
[6,4,7,5,2,1,8,3]=>[3,8,1,2,5,7,4,6]
[1,6,4,7,5,3,8,2]=>[2,8,3,5,7,4,6,1]
[8,6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6,8]
[6,3,5,2,8,7,4,1]=>[1,4,7,8,2,5,3,6]
[6,3,5,2,7,4,1,8]=>[8,1,4,7,2,5,3,6]
[4,5,7,2,6,3,1,8]=>[8,1,3,6,2,7,5,4]
[3,5,8,4,6,1,7,2]=>[2,7,1,6,4,8,5,3]
[1,4,7,3,5,2,6,8]=>[8,6,2,5,3,7,4,1]
[5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]
[4,2,6,3,5,7,1,8]=>[8,1,7,5,3,6,2,4]
[1,4,5,8,2,7,3,6]=>[6,3,7,2,8,5,4,1]
[2,4,5,8,1,6,7,3]=>[3,7,6,1,8,5,4,2]
[8,3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3,8]
[4,2,5,7,8,1,6,3]=>[3,6,1,8,7,5,2,4]
[8,3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3,8]
[4,1,7,3,5,2,6,8]=>[8,6,2,5,3,7,1,4]
[6,1,3,7,4,2,5,8]=>[8,5,2,4,7,3,1,6]
[3,1,6,8,2,7,4,5]=>[5,4,7,2,8,6,1,3]
[6,1,3,8,2,5,4,7]=>[7,4,5,2,8,3,1,6]
[4,8,2,3,1,6,7,5]=>[5,7,6,1,3,2,8,4]
[3,2,6,8,1,5,7,4]=>[4,7,5,1,8,6,2,3]
[8,2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2,8]
[8,6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6,8]
[7,6,8,3,1,5,4,2]=>[2,4,5,1,3,8,6,7]
[5,7,4,2,8,1,6,3]=>[3,6,1,8,2,4,7,5]
[6,3,7,2,8,1,5,4]=>[4,5,1,8,2,7,3,6]
[7,5,2,8,6,1,4,3]=>[3,4,1,6,8,2,5,7]
[2,7,3,8,1,5,6,4]=>[4,6,5,1,8,3,7,2]
[1,6,8,5,2,4,3,7]=>[7,3,4,2,5,8,6,1]
[4,5,7,2,8,1,6,3]=>[3,6,1,8,2,7,5,4]
[4,5,6,8,3,1,7,2]=>[2,7,1,3,8,6,5,4]
[8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]
[5,6,4,8,3,1,7,2]=>[2,7,1,3,8,4,6,5]
[3,4,7,1,2,6,5,8]=>[8,5,6,2,1,7,4,3]
[4,8,1,6,2,3,7,5]=>[5,7,3,2,6,1,8,4]
[4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]
[4,7,3,1,2,6,5,8]=>[8,5,6,2,1,3,7,4]
[5,2,7,1,3,6,4,8]=>[8,4,6,3,1,7,2,5]
[7,8,1,2,4,3,6,5]=>[5,6,3,4,2,1,8,7]
[8,4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4,8]
[4,8,3,1,2,5,7,6]=>[6,7,5,2,1,3,8,4]
[4,1,3,6,5,7,8,2]=>[2,8,7,5,6,3,1,4]
[6,1,3,4,2,8,5,7]=>[7,5,8,2,4,3,1,6]
[8,1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1,8]
[8,1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1,8]
[5,2,4,1,3,7,8,6]=>[6,8,7,3,1,4,2,5]
[2,6,5,3,1,7,8,4]=>[4,8,7,1,3,5,6,2]
[8,3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3,8]
[1,7,4,3,6,8,2,5]=>[5,2,8,6,3,4,7,1]
[2,7,6,3,1,8,4,5]=>[5,4,8,1,3,6,7,2]
[2,8,4,6,3,7,5,1]=>[1,5,7,3,6,4,8,2]
[8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]
[1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]
[3,8,6,5,7,1,4,2]=>[2,4,1,7,5,6,8,3]
[4,8,6,2,7,1,5,3]=>[3,5,1,7,2,6,8,4]
[4,7,5,3,8,2,1,6]=>[6,1,2,8,3,5,7,4]
[1,6,5,8,3,4,2,7]=>[7,2,4,3,8,5,6,1]
[6,1,5,3,8,4,2,7]=>[7,2,4,8,3,5,1,6]
[8,1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1,8]
[2,1,4,7,5,8,3,6]=>[6,3,8,5,7,4,1,2]
[6,3,5,8,7,4,1,2]=>[2,1,4,7,8,5,3,6]
[4,7,2,8,5,6,3,1]=>[1,3,6,5,8,2,7,4]
[1,4,8,7,3,5,6,2]=>[2,6,5,3,7,8,4,1]
[8,1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1,8]
[3,6,8,5,7,4,1,2]=>[2,1,4,7,5,8,6,3]
[4,7,6,8,5,3,1,2]=>[2,1,3,5,8,6,7,4]
[5,7,2,8,6,4,1,3]=>[3,1,4,6,8,2,7,5]
[3,8,7,5,6,4,2,1]=>[1,2,4,6,5,7,8,3]
[2,8,7,6,4,5,3,1]=>[1,3,5,4,6,7,8,2]
[1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]
[4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]
[3,6,7,4,8,1,5,2]=>[2,5,1,8,4,7,6,3]
[3,8,5,7,6,1,4,2]=>[2,4,1,6,7,5,8,3]
[1,4,7,8,2,6,5,3]=>[3,5,6,2,8,7,4,1]
[2,4,7,8,1,6,5,3]=>[3,5,6,1,8,7,4,2]
[4,2,6,8,7,1,5,3]=>[3,5,1,7,8,6,2,4]
[3,1,7,8,2,6,5,4]=>[4,5,6,2,8,7,1,3]
[6,1,3,8,2,7,5,4]=>[4,5,7,2,8,3,1,6]
[5,1,8,4,2,7,6,3]=>[3,6,7,2,4,8,1,5]
[8,2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2,8]
[6,8,3,7,1,5,4,2]=>[2,4,5,1,7,3,8,6]
[2,7,3,8,1,6,5,4]=>[4,5,6,1,8,3,7,2]
[1,7,3,8,2,6,5,4]=>[4,5,6,2,8,3,7,1]
[2,6,8,4,1,7,5,3]=>[3,5,7,1,4,8,6,2]
[4,5,8,6,3,1,7,2]=>[2,7,1,3,6,8,5,4]
[4,6,7,1,2,8,5,3]=>[3,5,8,2,1,7,6,4]
[3,6,1,8,2,7,5,4]=>[4,5,7,2,8,1,6,3]
[5,7,4,1,2,8,6,3]=>[3,6,8,2,1,4,7,5]
[6,3,7,1,2,8,5,4]=>[4,5,8,2,1,7,3,6]
[6,2,1,8,3,7,5,4]=>[4,5,7,3,8,1,2,6]
[8,1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1,8]
[1,7,8,3,5,2,4,6]=>[6,4,2,5,3,8,7,1]
[8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8]
[1,7,2,4,8,5,3,6]=>[6,3,5,8,4,2,7,1]
[1,7,8,5,4,3,2,6]=>[6,2,3,4,5,8,7,1]
[2,6,8,7,4,3,5,1]=>[1,5,3,4,7,8,6,2]
[1,2,6,7,8,4,3,5]=>[5,3,4,8,7,6,2,1]
[2,7,5,8,4,1,3,6]=>[6,3,1,4,8,5,7,2]
[2,1,7,8,4,5,3,6]=>[6,3,5,4,8,7,1,2]
[3,7,8,2,1,5,4,6]=>[6,4,5,1,2,8,7,3]
[8,5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5,8]
[8,4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4,8]
[8,1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1,8]
[3,5,8,6,7,4,1,2]=>[2,1,4,7,6,8,5,3]
[3,6,8,4,7,1,5,2]=>[2,5,1,7,4,8,6,3]
[4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]
[3,7,6,4,8,1,2,5]=>[5,2,1,8,4,6,7,3]
[3,1,7,5,6,8,2,4]=>[4,2,8,6,5,7,1,3]
[2,3,6,5,7,1,8,4]=>[4,8,1,7,5,6,3,2]
[3,7,5,4,2,1,8,6]=>[6,8,1,2,4,5,7,3]
[1,3,6,7,4,2,8,5]=>[5,8,2,4,7,6,3,1]
[3,6,4,8,2,7,5,1]=>[1,5,7,2,8,4,6,3]
[1,4,6,3,2,7,8,5]=>[5,8,7,2,3,6,4,1]
[8,7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7,8]
[8,1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1,8]
[1,7,8,6,5,3,2,4]=>[4,2,3,5,6,8,7,1]
[8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]
[1,7,8,2,6,4,5,3]=>[3,5,4,6,2,8,7,1]
[8,7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7,8]
[8,7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7,8]
[8,7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7,8]
[8,2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2,8]
[1,7,2,8,5,6,4,3]=>[3,4,6,5,8,2,7,1]
[2,7,1,8,4,6,5,3]=>[3,5,6,4,8,1,7,2]
[3,7,8,2,1,6,5,4]=>[4,5,6,1,2,8,7,3]
[8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]
[4,8,1,2,3,7,5,6]=>[6,5,7,3,2,1,8,4]
[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]
[3,5,8,4,7,2,6,1]=>[1,6,2,7,4,8,5,3]
[1,8,5,4,6,2,3,7]=>[7,3,2,6,4,5,8,1]
[3,8,5,4,6,1,2,7]=>[7,2,1,6,4,5,8,3]
[3,8,5,1,6,4,2,7]=>[7,2,4,6,1,5,8,3]
[2,8,5,4,6,1,3,7]=>[7,3,1,6,4,5,8,2]
[2,8,5,4,6,3,1,7]=>[7,1,3,6,4,5,8,2]
[1,8,5,4,6,3,2,7]=>[7,2,3,6,4,5,8,1]
[2,5,8,4,7,3,6,1]=>[1,6,3,7,4,8,5,2]
[3,6,4,2,7,8,5,1]=>[1,5,8,7,2,4,6,3]
[3,5,4,1,6,2,7,8]=>[8,7,2,6,1,4,5,3]
[4,5,8,1,7,6,2,3]=>[3,2,6,7,1,8,5,4]
[3,5,8,4,7,1,6,2]=>[2,6,1,7,4,8,5,3]
[1,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,1]
[3,6,4,1,7,8,5,2]=>[2,5,8,7,1,4,6,3]
[3,6,4,8,7,5,2,1]=>[1,2,5,7,8,4,6,3]
[1,6,4,3,7,8,5,2]=>[2,5,8,7,3,4,6,1]
[7,1,3,4,8,6,5,2]=>[2,5,6,8,4,3,1,7]
[7,6,1,3,8,4,2,5]=>[5,2,4,8,3,1,6,7]
[1,6,4,2,7,8,3,5]=>[5,3,8,7,2,4,6,1]
[2,6,4,3,7,1,8,5]=>[5,8,1,7,3,4,6,2]
[2,6,4,1,7,8,3,5]=>[5,3,8,7,1,4,6,2]
[7,2,3,4,8,6,5,1]=>[1,5,6,8,4,3,2,7]
[7,2,3,1,8,6,4,5]=>[5,4,6,8,1,3,2,7]
[7,2,3,4,1,6,8,5]=>[5,8,6,1,4,3,2,7]
[1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]
[7,3,8,6,1,4,2,5]=>[5,2,4,1,6,8,3,7]
[7,2,8,6,3,4,1,5]=>[5,1,4,3,6,8,2,7]
[7,2,3,1,5,6,8,4]=>[4,8,6,5,1,3,2,7]
[7,2,3,8,1,6,5,4]=>[4,5,6,1,8,3,2,7]
[7,2,3,8,5,6,4,1]=>[1,4,6,5,8,3,2,7]
[2,6,4,8,7,1,5,3]=>[3,5,1,7,8,4,6,2]
[1,5,8,4,7,6,2,3]=>[3,2,6,7,4,8,5,1]
[3,5,8,1,6,7,2,4]=>[4,2,7,6,1,8,5,3]
[7,6,1,3,5,8,2,4]=>[4,2,8,5,3,1,6,7]
[7,1,3,2,5,6,8,4]=>[4,8,6,5,2,3,1,7]
[7,1,3,8,2,6,5,4]=>[4,5,6,2,8,3,1,7]
[7,6,1,8,5,4,2,3]=>[3,2,4,5,8,1,6,7]
[4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]
[3,1,6,5,8,4,7,2]=>[2,7,4,8,5,6,1,3]
[3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]
[4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]
[5,2,6,4,8,3,7,1]=>[1,7,3,8,4,6,2,5]
[5,1,6,4,8,3,7,2]=>[2,7,3,8,4,6,1,5]
[5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]
[5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]
[4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]
[4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]
[5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]
[5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]
[5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]
[4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]
[4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]
[4,3,7,1,6,2,8,5]=>[5,8,2,6,1,7,3,4]
[5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]
[5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]
[5,1,2,7,6,3,8,4]=>[4,8,3,6,7,2,1,5]
[4,1,7,5,2,3,6,8]=>[8,6,3,2,5,7,1,4]
[4,7,2,6,3,1,5,8]=>[8,5,1,3,6,2,7,4]
[4,8,2,7,3,5,1,6]=>[6,1,5,3,7,2,8,4]
[4,1,8,7,6,3,2,5]=>[5,2,3,6,7,8,1,4]
[5,1,8,6,7,3,2,4]=>[4,2,3,7,6,8,1,5]
[4,1,7,8,6,3,2,5]=>[5,2,3,6,8,7,1,4]
[4,7,2,8,3,5,1,6]=>[6,1,5,3,8,2,7,4]
[1,2,6,8,3,7,4,5]=>[5,4,7,3,8,6,2,1]
[6,8,3,2,1,4,7,5]=>[5,7,4,1,2,3,8,6]
[6,7,5,2,1,8,3,4]=>[4,3,8,1,2,5,7,6]
[7,2,4,1,6,5,8,3]=>[3,8,5,6,1,4,2,7]
[8,4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4,8]
[7,5,8,4,3,1,6,2]=>[2,6,1,3,4,8,5,7]
[6,7,5,2,8,4,1,3]=>[3,1,4,8,2,5,7,6]
[6,8,2,4,1,3,7,5]=>[5,7,3,1,4,2,8,6]
[8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8]
[5,2,6,7,3,8,4,1]=>[1,4,8,3,7,6,2,5]
[5,2,7,6,3,8,4,1]=>[1,4,8,3,6,7,2,5]
[2,8,4,7,6,3,5,1]=>[1,5,3,6,7,4,8,2]
[6,1,2,7,5,8,4,3]=>[3,4,8,5,7,2,1,6]
[3,4,7,5,1,6,8,2]=>[2,8,6,1,5,7,4,3]
[7,1,2,6,5,8,4,3]=>[3,4,8,5,6,2,1,7]
[8,4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4,8]
[6,2,5,7,3,8,4,1]=>[1,4,8,3,7,5,2,6]
[7,3,4,6,2,8,5,1]=>[1,5,8,2,6,4,3,7]
[4,2,7,3,8,5,6,1]=>[1,6,5,8,3,7,2,4]
[4,5,2,6,8,3,7,1]=>[1,7,3,8,6,2,5,4]
[4,8,3,2,5,7,6,1]=>[1,6,7,5,2,3,8,4]
[2,6,8,5,3,4,7,1]=>[1,7,4,3,5,8,6,2]
[7,2,4,3,8,5,6,1]=>[1,6,5,8,3,4,2,7]
[6,8,5,3,4,7,2,1]=>[1,2,7,4,3,5,8,6]
[2,4,7,6,1,5,8,3]=>[3,8,5,1,6,7,4,2]
[8,2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2,8]
[6,1,7,5,8,4,2,3]=>[3,2,4,8,5,7,1,6]
[3,8,4,5,7,6,2,1]=>[1,2,6,7,5,4,8,3]
[8,4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4,8]
[6,8,4,1,5,3,7,2]=>[2,7,3,5,1,4,8,6]
[6,8,3,4,7,2,5,1]=>[1,5,2,7,4,3,8,6]
[8,3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3,8]
[4,7,6,2,5,8,3,1]=>[1,3,8,5,2,6,7,4]
[1,8,3,5,2,6,7,4]=>[4,7,6,2,5,3,8,1]
[8,3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3,8]
[6,8,3,5,1,4,7,2]=>[2,7,4,1,5,3,8,6]
[6,1,5,8,4,3,7,2]=>[2,7,3,4,8,5,1,6]
[6,8,4,7,2,3,5,1]=>[1,5,3,2,7,4,8,6]
[1,7,2,6,5,8,4,3]=>[3,4,8,5,6,2,7,1]
[7,1,6,5,8,4,2,3]=>[3,2,4,8,5,6,1,7]
[7,5,3,4,8,2,6,1]=>[1,6,2,8,4,3,5,7]
[5,3,8,2,4,7,6,1]=>[1,6,7,4,2,8,3,5]
[6,7,2,8,5,4,3,1]=>[1,3,4,5,8,2,7,6]
[3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]
[7,4,2,3,8,5,6,1]=>[1,6,5,8,3,2,4,7]
[6,8,5,4,2,3,7,1]=>[1,7,3,2,4,5,8,6]
[6,8,4,7,1,3,5,2]=>[2,5,3,1,7,4,8,6]
[5,8,2,4,3,7,6,1]=>[1,6,7,3,4,2,8,5]
[3,4,5,8,2,7,6,1]=>[1,6,7,2,8,5,4,3]
[6,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,6]
[6,7,1,5,3,8,4,2]=>[2,4,8,3,5,1,7,6]
[7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]
[8,2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2,8]
[8,2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2,8]
[8,2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2,8]
[8,1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1,8]
[8,1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1,8]
[8,1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1,8]
[8,1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1,8]
[8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]
[6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]
[7,4,5,1,6,2,8,3]=>[3,8,2,6,1,5,4,7]
[4,7,3,5,6,2,8,1]=>[1,8,2,6,5,3,7,4]
[6,7,8,4,1,3,5,2]=>[2,5,3,1,4,8,7,6]
[3,1,6,8,4,7,5,2]=>[2,5,7,4,8,6,1,3]
[8,3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3,8]
[2,7,3,5,8,6,4,1]=>[1,4,6,8,5,3,7,2]
[3,2,7,5,8,6,1,4]=>[4,1,6,8,5,7,2,3]
[2,4,7,5,8,6,1,3]=>[3,1,6,8,5,7,4,2]
[2,5,4,7,8,1,6,3]=>[3,6,1,8,7,4,5,2]
[2,4,6,7,8,1,5,3]=>[3,5,1,8,7,6,4,2]
[2,4,7,6,1,8,5,3]=>[3,5,8,1,6,7,4,2]
[2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]
[7,3,6,8,2,5,1,4]=>[4,1,5,2,8,6,3,7]
[5,7,3,8,6,2,1,4]=>[4,1,2,6,8,3,7,5]
[7,4,3,8,6,2,1,5]=>[5,1,2,6,8,3,4,7]
[2,4,7,8,3,5,6,1]=>[1,6,5,3,8,7,4,2]
[3,4,7,2,8,5,1,6]=>[6,1,5,8,2,7,4,3]
[3,5,2,7,8,1,4,6]=>[6,4,1,8,7,2,5,3]
[3,2,7,6,1,8,4,5]=>[5,4,8,1,6,7,2,3]
[3,2,6,8,1,7,4,5]=>[5,4,7,1,8,6,2,3]
[3,5,2,8,1,4,7,6]=>[6,7,4,1,8,2,5,3]
[4,3,6,2,1,8,5,7]=>[7,5,8,1,2,6,3,4]
[3,6,4,2,5,8,1,7]=>[7,1,8,5,2,4,6,3]
[4,6,2,3,5,8,7,1]=>[1,7,8,5,3,2,6,4]
[4,6,2,3,7,5,8,1]=>[1,8,5,7,3,2,6,4]
[3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]
[4,3,6,2,7,1,5,8]=>[8,5,1,7,2,6,3,4]
[3,6,5,2,1,7,4,8]=>[8,4,7,1,2,5,6,3]
[4,8,6,3,2,1,5,7]=>[7,5,1,2,3,6,8,4]
[7,4,6,3,2,1,5,8]=>[8,5,1,2,3,6,4,7]
[5,8,4,2,3,6,7,1]=>[1,7,6,3,2,4,8,5]
[6,4,8,3,2,1,5,7]=>[7,5,1,2,3,8,4,6]
[8,4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4,8]
[5,8,3,4,2,1,7,6]=>[6,7,1,2,4,3,8,5]
[6,8,4,2,3,7,5,1]=>[1,5,7,3,2,4,8,6]
[3,6,4,2,1,8,7,5]=>[5,7,8,1,2,4,6,3]
[6,4,8,3,2,7,1,5]=>[5,1,7,2,3,8,4,6]
[5,6,8,3,2,7,1,4]=>[4,1,7,2,3,8,6,5]
[5,8,3,7,2,1,6,4]=>[4,6,1,2,7,3,8,5]
[2,8,5,7,4,1,6,3]=>[3,6,1,4,7,5,8,2]
[2,8,6,5,4,1,7,3]=>[3,7,1,4,5,6,8,2]
[2,5,6,4,1,8,7,3]=>[3,7,8,1,4,6,5,2]
[2,8,6,4,5,7,1,3]=>[3,1,7,5,4,6,8,2]
[3,8,6,2,5,7,1,4]=>[4,1,7,5,2,6,8,3]
[2,8,6,5,3,7,4,1]=>[1,4,7,3,5,6,8,2]
[2,5,6,4,7,1,8,3]=>[3,8,1,7,4,6,5,2]
[2,6,5,4,1,7,8,3]=>[3,8,7,1,4,5,6,2]
[2,5,4,8,1,6,7,3]=>[3,7,6,1,8,4,5,2]
[5,7,6,3,2,8,1,4]=>[4,1,8,2,3,6,7,5]
[6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]
[6,4,7,3,8,2,1,5]=>[5,1,2,8,3,7,4,6]
[3,6,4,2,7,1,8,5]=>[5,8,1,7,2,4,6,3]
[7,5,4,2,3,8,6,1]=>[1,6,8,3,2,4,5,7]
[6,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,6]
[8,4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4,8]
[8,4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4,8]
[8,4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4,8]
[4,6,3,2,1,5,7,8]=>[8,7,5,1,2,3,6,4]
[1,2,6,5,8,7,3,4]=>[4,3,7,8,5,6,2,1]
[1,5,2,8,4,6,7,3]=>[3,7,6,4,8,2,5,1]
[1,5,2,7,4,6,8,3]=>[3,8,6,4,7,2,5,1]
[5,1,2,7,3,6,8,4]=>[4,8,6,3,7,2,1,5]
[5,1,2,8,3,6,7,4]=>[4,7,6,3,8,2,1,5]
[5,6,3,4,8,7,2,1]=>[1,2,7,8,4,3,6,5]
[6,5,3,4,8,7,2,1]=>[1,2,7,8,4,3,5,6]
[4,1,2,8,3,6,7,5]=>[5,7,6,3,8,2,1,4]
[4,1,2,7,3,6,8,5]=>[5,8,6,3,7,2,1,4]
[5,1,2,8,3,6,4,7]=>[7,4,6,3,8,2,1,5]
[7,5,3,8,4,6,2,1]=>[1,2,6,4,8,3,5,7]
[8,5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5,8]
[4,1,2,7,3,6,5,8]=>[8,5,6,3,7,2,1,4]
[6,1,7,2,3,5,4,8]=>[8,4,5,3,2,7,1,6]
[1,6,7,2,4,5,3,8]=>[8,3,5,4,2,7,6,1]
[1,6,8,2,4,5,3,7]=>[7,3,5,4,2,8,6,1]
[5,8,1,2,3,4,7,6]=>[6,7,4,3,2,1,8,5]
[7,1,8,2,3,5,4,6]=>[6,4,5,3,2,8,1,7]
[7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7]
[6,1,8,2,3,5,7,4]=>[4,7,5,3,2,8,1,6]
[6,1,7,2,3,5,8,4]=>[4,8,5,3,2,7,1,6]
[1,6,7,2,4,5,8,3]=>[3,8,5,4,2,7,6,1]
[1,6,8,2,4,5,7,3]=>[3,7,5,4,2,8,6,1]
[4,3,8,7,5,6,2,1]=>[1,2,6,5,7,8,3,4]
[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]
[1,8,6,2,4,5,7,3]=>[3,7,5,4,2,6,8,1]
[1,7,6,2,4,5,8,3]=>[3,8,5,4,2,6,7,1]
[7,1,6,2,3,5,8,4]=>[4,8,5,3,2,6,1,7]
[8,1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1,8]
[8,1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1,8]
[5,8,3,7,4,6,2,1]=>[1,2,6,4,7,3,8,5]
[6,8,7,3,4,5,2,1]=>[1,2,5,4,3,7,8,6]
[1,8,7,2,4,5,3,6]=>[6,3,5,4,2,7,8,1]
[8,1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1,8]
[8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]
[8,6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6,8]
[8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]
[8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]
[1,8,6,2,4,5,3,7]=>[7,3,5,4,2,6,8,1]
[1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]
[7,1,6,2,3,5,4,8]=>[8,4,5,3,2,6,1,7]
[1,8,7,4,6,3,5,2]=>[2,5,3,6,4,7,8,1]
[4,7,2,6,1,8,5,3]=>[3,5,8,1,6,2,7,4]
[6,7,2,5,1,4,8,3]=>[3,8,4,1,5,2,7,6]
[6,3,7,5,1,4,8,2]=>[2,8,4,1,5,7,3,6]
[4,2,5,8,7,3,6,1]=>[1,6,3,7,8,5,2,4]
[8,1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1,8]
[1,8,3,5,7,2,6,4]=>[4,6,2,7,5,3,8,1]
[1,3,4,8,7,5,6,2]=>[2,6,5,7,8,4,3,1]
[2,3,4,6,8,5,7,1]=>[1,7,5,8,6,4,3,2]
[2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]
[2,4,6,3,7,8,5,1]=>[1,5,8,7,3,6,4,2]
[2,5,7,1,8,6,3,4]=>[4,3,6,8,1,7,5,2]
[1,5,6,8,3,7,4,2]=>[2,4,7,3,8,6,5,1]
[8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]
[8,2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2,8]
[1,3,8,5,2,4,6,7]=>[7,6,4,2,5,8,3,1]
[1,4,7,8,3,5,6,2]=>[2,6,5,3,8,7,4,1]
[2,6,7,1,8,4,5,3]=>[3,5,4,8,1,7,6,2]
[4,5,6,1,3,7,8,2]=>[2,8,7,3,1,6,5,4]
[3,4,1,8,5,2,6,7]=>[7,6,2,5,8,1,4,3]
[2,4,8,1,5,3,6,7]=>[7,6,3,5,1,8,4,2]
[5,8,3,1,4,2,6,7]=>[7,6,2,4,1,3,8,5]
[8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8]
[3,8,4,2,6,7,1,5]=>[5,1,7,6,2,4,8,3]
[2,4,1,8,5,6,3,7]=>[7,3,6,5,8,1,4,2]
[1,6,2,7,8,5,3,4]=>[4,3,5,8,7,2,6,1]
[3,5,2,6,7,8,4,1]=>[1,4,8,7,6,2,5,3]
[4,5,1,6,7,3,8,2]=>[2,8,3,7,6,1,5,4]
[2,8,4,1,7,5,3,6]=>[6,3,5,7,1,4,8,2]
[8,5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5,8]
[4,2,8,7,1,5,3,6]=>[6,3,5,1,7,8,2,4]
[5,2,6,8,1,7,4,3]=>[3,4,7,1,8,6,2,5]
[5,2,7,1,6,8,3,4]=>[4,3,8,6,1,7,2,5]
[5,7,3,2,6,8,1,4]=>[4,1,8,6,2,3,7,5]
[8,4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4,8]
[5,7,1,2,8,4,6,3]=>[3,6,4,8,2,1,7,5]
[6,7,1,2,3,5,8,4]=>[4,8,5,3,2,1,7,6]
[6,1,7,2,3,8,5,4]=>[4,5,8,3,2,7,1,6]
[3,2,8,6,1,4,5,7]=>[7,5,4,1,6,8,2,3]
[3,1,6,7,8,4,2,5]=>[5,2,4,8,7,6,1,3]
[3,1,4,8,5,6,2,7]=>[7,2,6,5,8,4,1,3]
[5,1,8,2,3,6,4,7]=>[7,4,6,3,2,8,1,5]
[8,3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3,8]
[8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]
[8,2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2,8]
[2,6,3,8,7,5,4,1]=>[1,4,5,7,8,3,6,2]
[8,2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2,8]
[8,2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2,8]
[8,6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6,8]
[8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]
[8,4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4,8]
[8,3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3,8]
[8,3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3,8]
[8,3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3,8]
[8,3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3,8]
[8,2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2,8]
[6,1,3,8,7,5,4,2]=>[2,4,5,7,8,3,1,6]
[3,6,1,8,7,5,4,2]=>[2,4,5,7,8,1,6,3]
[3,8,1,5,7,6,4,2]=>[2,4,6,7,5,1,8,3]
[3,5,2,8,7,6,4,1]=>[1,4,6,7,8,2,5,3]
[3,4,8,2,7,6,5,1]=>[1,5,6,7,2,8,4,3]
[3,4,8,7,1,6,5,2]=>[2,5,6,1,7,8,4,3]
[8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]
[4,1,8,5,7,6,3,2]=>[2,3,6,7,5,8,1,4]
[8,2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2,8]
[8,1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1,8]
[8,3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3,8]
[3,8,2,4,7,6,5,1]=>[1,5,6,7,4,2,8,3]
[2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2]
[8,2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2,8]
[8,2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2,8]
[8,1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1,8]
[8,1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1,8]
[8,2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2,8]
[2,4,8,5,7,6,3,1]=>[1,3,6,7,5,8,4,2]
[8,2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2,8]
[8,2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2,8]
[8,2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2,8]
[8,2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2,8]
[8,2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2,8]
[6,2,1,8,7,5,4,3]=>[3,4,5,7,8,1,2,6]
[6,1,8,2,7,5,4,3]=>[3,4,5,7,2,8,1,6]
[8,1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1,8]
[8,1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1,8]
[8,1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1,8]
[8,2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2,8]
[4,2,8,3,7,6,5,1]=>[1,5,6,7,3,8,2,4]
[4,8,2,1,7,6,5,3]=>[3,5,6,7,1,2,8,4]
[5,1,8,7,2,6,4,3]=>[3,4,6,2,7,8,1,5]
[5,8,1,3,7,6,2,4]=>[4,2,6,7,3,1,8,5]
[8,2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2,8]
[5,1,4,8,7,6,3,2]=>[2,3,6,7,8,4,1,5]
[8,1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1,8]
[4,8,1,3,7,6,5,2]=>[2,5,6,7,3,1,8,4]
[4,3,8,1,7,6,5,2]=>[2,5,6,7,1,8,3,4]
[5,8,6,3,2,1,7,4]=>[4,7,1,2,3,6,8,5]
[5,1,7,4,3,2,6,8]=>[8,6,2,3,4,7,1,5]
[5,7,6,3,2,4,1,8]=>[8,1,4,2,3,6,7,5]
[6,5,7,2,4,3,1,8]=>[8,1,3,4,2,7,5,6]
[5,7,1,3,2,8,6,4]=>[4,6,8,2,3,1,7,5]
[5,8,1,3,2,7,4,6]=>[6,4,7,2,3,1,8,5]
[8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]
[6,5,1,3,7,2,4,8]=>[8,4,2,7,3,1,5,6]
[7,5,1,3,2,4,8,6]=>[6,8,4,2,3,1,5,7]
[7,5,8,2,1,4,3,6]=>[6,3,4,1,2,8,5,7]
[6,7,1,2,5,4,8,3]=>[3,8,4,5,2,1,7,6]
[7,4,3,1,2,8,6,5]=>[5,6,8,2,1,3,4,7]
[3,2,8,1,4,7,5,6]=>[6,5,7,4,1,8,2,3]
[8,4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4,8]
[6,8,1,2,5,7,4,3]=>[3,4,7,5,2,1,8,6]
[7,1,2,3,8,6,4,5]=>[5,4,6,8,3,2,1,7]
[8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]
[4,1,3,8,2,5,7,6]=>[6,7,5,2,8,3,1,4]
[6,8,5,3,4,1,7,2]=>[2,7,1,4,3,5,8,6]
[1,5,4,8,2,3,7,6]=>[6,7,3,2,8,4,5,1]
[1,8,6,5,2,3,7,4]=>[4,7,3,2,5,6,8,1]
[8,5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5,8]
[1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]
[7,6,8,1,3,4,2,5]=>[5,2,4,3,1,8,6,7]
[7,5,8,2,3,1,4,6]=>[6,4,1,3,2,8,5,7]
[7,4,1,2,6,8,3,5]=>[5,3,8,6,2,1,4,7]
[7,1,3,8,2,5,6,4]=>[4,6,5,2,8,3,1,7]
[6,2,8,1,5,7,3,4]=>[4,3,7,5,1,8,2,6]
[7,2,5,4,1,8,6,3]=>[3,6,8,1,4,5,2,7]
[7,3,5,4,2,1,8,6]=>[6,8,1,2,4,5,3,7]
[7,4,5,2,1,6,8,3]=>[3,8,6,1,2,5,4,7]
[7,4,3,2,6,1,8,5]=>[5,8,1,6,2,3,4,7]
[7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]
[7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]
[1,5,2,4,7,8,3,6]=>[6,3,8,7,4,2,5,1]
[3,5,1,2,8,6,7,4]=>[4,7,6,8,2,1,5,3]
[2,5,3,4,7,8,1,6]=>[6,1,8,7,4,3,5,2]
[2,7,4,3,6,8,5,1]=>[1,5,8,6,3,4,7,2]
[1,7,4,3,6,8,5,2]=>[2,5,8,6,3,4,7,1]
[3,7,1,8,2,5,6,4]=>[4,6,5,2,8,1,7,3]
[4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]
[4,7,6,5,2,3,8,1]=>[1,8,3,2,5,6,7,4]
[4,7,6,5,1,3,8,2]=>[2,8,3,1,5,6,7,4]
[1,7,6,5,2,3,8,4]=>[4,8,3,2,5,6,7,1]
[1,7,6,5,8,3,2,4]=>[4,2,3,8,5,6,7,1]
[4,7,6,5,1,3,2,8]=>[8,2,3,1,5,6,7,4]
[4,7,6,5,3,8,1,2]=>[2,1,8,3,5,6,7,4]
[5,7,6,3,2,8,4,1]=>[1,4,8,2,3,6,7,5]
[5,4,6,8,7,2,1,3]=>[3,1,2,7,8,6,4,5]
[6,3,4,2,8,1,5,7]=>[7,5,1,8,2,4,3,6]
[6,7,4,2,1,8,5,3]=>[3,5,8,1,2,4,7,6]
[6,7,3,2,1,8,5,4]=>[4,5,8,1,2,3,7,6]
[5,7,6,2,1,4,8,3]=>[3,8,4,1,2,6,7,5]
[1,7,6,3,2,8,4,5]=>[5,4,8,2,3,6,7,1]
[5,4,2,1,7,3,6,8]=>[8,6,3,7,1,2,4,5]
[6,5,8,1,7,3,4,2]=>[2,4,3,7,1,8,5,6]
[6,5,8,2,3,7,4,1]=>[1,4,7,3,2,8,5,6]
[6,5,8,3,4,1,7,2]=>[2,7,1,4,3,8,5,6]
[5,7,3,6,8,1,4,2]=>[2,4,1,8,6,3,7,5]
[5,7,2,6,3,1,4,8]=>[8,4,1,3,6,2,7,5]
[4,1,2,8,5,6,3,7]=>[7,3,6,5,8,2,1,4]
[4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]
[2,1,6,3,7,8,5,4]=>[4,5,8,7,3,6,1,2]
[4,7,1,6,8,2,5,3]=>[3,5,2,8,6,1,7,4]
[3,7,4,1,6,5,2,8]=>[8,2,5,6,1,4,7,3]
[3,7,2,1,4,5,6,8]=>[8,6,5,4,1,2,7,3]
[3,5,8,2,6,1,7,4]=>[4,7,1,6,2,8,5,3]
[4,2,7,8,3,5,1,6]=>[6,1,5,3,8,7,2,4]
[4,5,1,7,3,6,8,2]=>[2,8,6,3,7,1,5,4]
[4,3,2,8,5,1,6,7]=>[7,6,1,5,8,2,3,4]
[3,7,6,2,8,4,1,5]=>[5,1,4,8,2,6,7,3]
[3,7,6,1,5,2,8,4]=>[4,8,2,5,1,6,7,3]
[3,7,6,5,8,4,1,2]=>[2,1,4,8,5,6,7,3]
[1,7,6,2,5,8,4,3]=>[3,4,8,5,2,6,7,1]
[1,7,6,5,8,4,2,3]=>[3,2,4,8,5,6,7,1]
[3,7,6,5,8,1,2,4]=>[4,2,1,8,5,6,7,3]
[3,7,6,2,8,4,5,1]=>[1,5,4,8,2,6,7,3]
[4,3,6,8,5,1,2,7]=>[7,2,1,5,8,6,3,4]
[3,7,6,1,5,4,8,2]=>[2,8,4,5,1,6,7,3]
[4,7,2,6,8,5,1,3]=>[3,1,5,8,6,2,7,4]
[2,7,1,5,8,4,3,6]=>[6,3,4,8,5,1,7,2]
[2,7,6,1,8,4,3,5]=>[5,3,4,8,1,6,7,2]
[7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]
[6,2,7,5,8,4,3,1]=>[1,3,4,8,5,7,2,6]
[7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]
[7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]
[7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]
[6,7,8,4,2,5,3,1]=>[1,3,5,2,4,8,7,6]
[6,1,2,5,7,8,4,3]=>[3,4,8,7,5,2,1,6]
[3,7,8,6,2,5,1,4]=>[4,1,5,2,6,8,7,3]
[3,6,1,4,8,7,5,2]=>[2,5,7,8,4,1,6,3]
[4,1,2,7,8,5,3,6]=>[6,3,5,8,7,2,1,4]
[4,7,3,1,2,6,8,5]=>[5,8,6,2,1,3,7,4]
[3,6,4,5,8,1,7,2]=>[2,7,1,8,5,4,6,3]
[3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]
[2,7,6,5,4,1,8,3]=>[3,8,1,4,5,6,7,2]
[3,8,5,4,6,7,1,2]=>[2,1,7,6,4,5,8,3]
[3,8,5,6,4,2,7,1]=>[1,7,2,4,6,5,8,3]
[1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]
[3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]
[4,2,7,5,8,3,1,6]=>[6,1,3,8,5,7,2,4]
[4,2,7,1,3,8,6,5]=>[5,6,8,3,1,7,2,4]
[4,8,1,6,2,7,5,3]=>[3,5,7,2,6,1,8,4]
[5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]
[6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]
[6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]
[6,1,8,4,2,7,5,3]=>[3,5,7,2,4,8,1,6]
[5,7,2,3,8,4,1,6]=>[6,1,4,8,3,2,7,5]
[5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]
[5,6,2,7,3,4,8,1]=>[1,8,4,3,7,2,6,5]
[6,1,3,8,5,4,7,2]=>[2,7,4,5,8,3,1,6]
[3,7,8,6,1,2,4,5]=>[5,4,2,1,6,8,7,3]
[2,7,6,8,5,1,3,4]=>[4,3,1,5,8,6,7,2]
[2,7,8,6,1,5,4,3]=>[3,4,5,1,6,8,7,2]
[2,7,6,8,5,3,1,4]=>[4,1,3,5,8,6,7,2]
[4,7,6,8,2,1,3,5]=>[5,3,1,2,8,6,7,4]
[4,7,8,6,1,3,2,5]=>[5,2,3,1,6,8,7,4]
[1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]
[5,7,4,6,3,1,2,8]=>[8,2,1,3,6,4,7,5]
[5,6,1,8,3,7,4,2]=>[2,4,7,3,8,1,6,5]
[4,7,6,8,1,2,3,5]=>[5,3,2,1,8,6,7,4]
[2,8,4,1,5,7,3,6]=>[6,3,7,5,1,4,8,2]
[1,5,8,6,4,2,3,7]=>[7,3,2,4,6,8,5,1]
[2,8,5,7,4,3,6,1]=>[1,6,3,4,7,5,8,2]
[2,8,6,4,5,3,1,7]=>[7,1,3,5,4,6,8,2]
[2,8,4,6,3,1,7,5]=>[5,7,1,3,6,4,8,2]
[2,8,6,5,1,4,7,3]=>[3,7,4,1,5,6,8,2]
[2,8,4,3,1,6,7,5]=>[5,7,6,1,3,4,8,2]
[1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]
[1,4,6,2,5,7,8,3]=>[3,8,7,5,2,6,4,1]
[2,4,8,6,3,5,7,1]=>[1,7,5,3,6,8,4,2]
[4,6,8,1,3,2,5,7]=>[7,5,2,3,1,8,6,4]
[2,5,8,6,4,1,7,3]=>[3,7,1,4,6,8,5,2]
[2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]
[2,5,6,8,7,4,1,3]=>[3,1,4,7,8,6,5,2]
[5,7,2,3,6,1,4,8]=>[8,4,1,6,3,2,7,5]
[3,2,7,4,1,8,5,6]=>[6,5,8,1,4,7,2,3]
[1,6,2,3,5,8,7,4]=>[4,7,8,5,3,2,6,1]
[1,7,2,3,6,5,8,4]=>[4,8,5,6,3,2,7,1]
[4,7,2,3,5,6,8,1]=>[1,8,6,5,3,2,7,4]
[4,7,2,3,1,6,8,5]=>[5,8,6,1,3,2,7,4]
[4,7,2,3,1,5,6,8]=>[8,6,5,1,3,2,7,4]
[6,7,3,1,5,4,8,2]=>[2,8,4,5,1,3,7,6]
[7,4,6,2,8,3,5,1]=>[1,5,3,8,2,6,4,7]
[7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]
[7,2,5,1,4,8,6,3]=>[3,6,8,4,1,5,2,7]
[3,4,6,5,1,2,7,8]=>[8,7,2,1,5,6,4,3]
[1,2,7,4,5,8,6,3]=>[3,6,8,5,4,7,2,1]
[1,5,3,6,8,4,2,7]=>[7,2,4,8,6,3,5,1]
[7,5,4,3,8,6,2,1]=>[1,2,6,8,3,4,5,7]
[6,7,5,1,3,4,2,8]=>[8,2,4,3,1,5,7,6]
[4,3,8,2,6,7,5,1]=>[1,5,7,6,2,8,3,4]
[4,3,8,2,5,7,1,6]=>[6,1,7,5,2,8,3,4]
[5,7,4,3,6,1,2,8]=>[8,2,1,6,3,4,7,5]
[1,4,3,8,7,6,2,5]=>[5,2,6,7,8,3,4,1]
[4,1,6,2,5,3,7,8]=>[8,7,3,5,2,6,1,4]
[5,1,8,6,4,7,2,3]=>[3,2,7,4,6,8,1,5]
[4,1,8,5,6,3,7,2]=>[2,7,3,6,5,8,1,4]
[4,2,6,1,5,3,8,7]=>[7,8,3,5,1,6,2,4]
[6,7,2,3,1,5,8,4]=>[4,8,5,1,3,2,7,6]
[1,5,2,3,8,6,4,7]=>[7,4,6,8,3,2,5,1]
[7,5,2,3,8,1,6,4]=>[4,6,1,8,3,2,5,7]
[6,7,2,3,5,1,4,8]=>[8,4,1,5,3,2,7,6]
[5,2,7,8,6,1,3,4]=>[4,3,1,6,8,7,2,5]
[2,1,7,8,6,3,5,4]=>[4,5,3,6,8,7,1,2]
[6,5,2,3,8,1,7,4]=>[4,7,1,8,3,2,5,6]
[7,5,2,3,8,4,1,6]=>[6,1,4,8,3,2,5,7]
[8,7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7,8]
[4,5,1,7,6,3,8,2]=>[2,8,3,6,7,1,5,4]
[7,8,2,4,1,6,3,5]=>[5,3,6,1,4,2,8,7]
[6,7,1,5,4,8,2,3]=>[3,2,8,4,5,1,7,6]
[1,8,7,5,2,3,6,4]=>[4,6,3,2,5,7,8,1]
[8,1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1,8]
[8,6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6,8]
[4,5,1,6,2,8,7,3]=>[3,7,8,2,6,1,5,4]
[4,5,1,3,8,7,6,2]=>[2,6,7,8,3,1,5,4]
[4,8,3,6,1,7,2,5]=>[5,2,7,1,6,3,8,4]
[6,2,7,8,3,4,5,1]=>[1,5,4,3,8,7,2,6]
[8,5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5,8]
[1,2,4,6,8,5,7,3]=>[3,7,5,8,6,4,2,1]
[2,1,7,5,8,6,3,4]=>[4,3,6,8,5,7,1,2]
[4,7,3,8,6,5,2,1]=>[1,2,5,6,8,3,7,4]
[3,8,7,4,6,5,1,2]=>[2,1,5,6,4,7,8,3]
[7,3,8,4,6,5,1,2]=>[2,1,5,6,4,8,3,7]
[7,4,3,6,5,8,1,2]=>[2,1,8,5,6,3,4,7]
[4,5,8,7,2,6,1,3]=>[3,1,6,2,7,8,5,4]
[3,8,6,7,5,1,4,2]=>[2,4,1,5,7,6,8,3]
[4,2,7,6,5,8,3,1]=>[1,3,8,5,6,7,2,4]
[4,6,7,8,5,2,3,1]=>[1,3,2,5,8,7,6,4]
[4,5,3,8,2,7,6,1]=>[1,6,7,2,8,3,5,4]
[3,8,5,4,1,7,6,2]=>[2,6,7,1,4,5,8,3]
[6,4,7,2,5,8,3,1]=>[1,3,8,5,2,7,4,6]
[6,3,8,7,5,1,4,2]=>[2,4,1,5,7,8,3,6]
[5,3,6,4,1,2,8,7]=>[7,8,2,1,4,6,3,5]
[6,8,4,3,5,7,1,2]=>[2,1,7,5,3,4,8,6]
[5,2,4,8,7,6,1,3]=>[3,1,6,7,8,4,2,5]
[1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]
[1,8,2,5,4,3,6,7]=>[7,6,3,4,5,2,8,1]
[3,2,4,5,1,8,6,7]=>[7,6,8,1,5,4,2,3]
[3,2,4,8,5,1,7,6]=>[6,7,1,5,8,4,2,3]
[5,2,4,1,7,8,3,6]=>[6,3,8,7,1,4,2,5]
[4,2,5,1,7,8,3,6]=>[6,3,8,7,1,5,2,4]
[2,5,4,1,3,8,6,7]=>[7,6,8,3,1,4,5,2]
[2,5,1,4,8,3,6,7]=>[7,6,3,8,4,1,5,2]
[1,4,5,3,8,2,6,7]=>[7,6,2,8,3,5,4,1]
[5,1,8,2,4,3,6,7]=>[7,6,3,4,2,8,1,5]
[5,3,2,8,4,1,6,7]=>[7,6,1,4,8,2,3,5]
[4,8,2,1,5,3,6,7]=>[7,6,3,5,1,2,8,4]
[1,5,4,8,2,3,6,7]=>[7,6,3,2,8,4,5,1]
[3,5,1,4,7,8,2,6]=>[6,2,8,7,4,1,5,3]
[4,8,3,1,6,7,2,5]=>[5,2,7,6,1,3,8,4]
[3,4,8,2,6,5,7,1]=>[1,7,5,6,2,8,4,3]
[1,4,8,2,7,3,6,5]=>[5,6,3,7,2,8,4,1]
[1,8,7,2,5,3,6,4]=>[4,6,3,5,2,7,8,1]
[7,4,6,5,3,8,2,1]=>[1,2,8,3,5,6,4,7]
[3,6,2,4,8,7,1,5]=>[5,1,7,8,4,2,6,3]
[4,7,3,2,6,8,1,5]=>[5,1,8,6,2,3,7,4]
[7,3,4,6,8,1,2,5]=>[5,2,1,8,6,4,3,7]
[3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]
[1,5,6,8,3,7,2,4]=>[4,2,7,3,8,6,5,1]
[1,6,5,8,3,7,2,4]=>[4,2,7,3,8,5,6,1]
[8,6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6,8]
[7,8,4,6,3,1,5,2]=>[2,5,1,3,6,4,8,7]
[6,1,5,8,3,4,7,2]=>[2,7,4,3,8,5,1,6]
[5,6,8,1,3,4,7,2]=>[2,7,4,3,1,8,6,5]
[2,8,5,6,3,4,7,1]=>[1,7,4,3,6,5,8,2]
[6,8,1,3,5,4,7,2]=>[2,7,4,5,3,1,8,6]
[8,1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1,8]
[1,8,7,3,6,4,5,2]=>[2,5,4,6,3,7,8,1]
[7,4,2,8,3,6,5,1]=>[1,5,6,3,8,2,4,7]
[7,1,2,5,8,4,6,3]=>[3,6,4,8,5,2,1,7]
[2,8,1,4,7,3,6,5]=>[5,6,3,7,4,1,8,2]
[4,2,8,6,1,5,7,3]=>[3,7,5,1,6,8,2,4]
[6,2,4,8,1,7,3,5]=>[5,3,7,1,8,4,2,6]
[8,2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2,8]
[3,1,7,8,5,4,6,2]=>[2,6,4,5,8,7,1,3]
[1,6,2,7,4,8,5,3]=>[3,5,8,4,7,2,6,1]
[2,7,1,8,4,3,5,6]=>[6,5,3,4,8,1,7,2]
[6,7,1,8,3,2,4,5]=>[5,4,2,3,8,1,7,6]
[6,2,4,7,3,8,1,5]=>[5,1,8,3,7,4,2,6]
[8,3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3,8]
[6,8,2,3,7,1,5,4]=>[4,5,1,7,3,2,8,6]
[6,1,8,3,7,4,2,5]=>[5,2,4,7,3,8,1,6]
[1,5,8,3,6,7,2,4]=>[4,2,7,6,3,8,5,1]
[2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]
[2,7,5,6,8,1,3,4]=>[4,3,1,8,6,5,7,2]
[1,6,5,7,4,8,2,3]=>[3,2,8,4,7,5,6,1]
[7,6,2,8,1,5,3,4]=>[4,3,5,1,8,2,6,7]
[6,7,2,8,1,3,4,5]=>[5,4,3,1,8,2,7,6]
[5,1,6,8,7,2,3,4]=>[4,3,2,7,8,6,1,5]
[1,5,7,6,8,2,3,4]=>[4,3,2,8,6,7,5,1]
[3,5,6,1,4,2,8,7]=>[7,8,2,4,1,6,5,3]
[3,7,8,2,4,6,5,1]=>[1,5,6,4,2,8,7,3]
[7,4,6,8,5,3,1,2]=>[2,1,3,5,8,6,4,7]
[8,4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4,8]
[4,2,7,8,1,5,6,3]=>[3,6,5,1,8,7,2,4]
[2,1,5,7,8,3,6,4]=>[4,6,3,8,7,5,1,2]
[2,4,7,8,1,5,6,3]=>[3,6,5,1,8,7,4,2]
[2,6,3,5,7,8,4,1]=>[1,4,8,7,5,3,6,2]
[4,6,2,5,7,1,8,3]=>[3,8,1,7,5,2,6,4]
[5,1,6,7,3,8,2,4]=>[4,2,8,3,7,6,1,5]
[3,8,6,7,5,1,2,4]=>[4,2,1,5,7,6,8,3]
[4,7,5,8,6,3,1,2]=>[2,1,3,6,8,5,7,4]
[4,7,1,8,3,5,6,2]=>[2,6,5,3,8,1,7,4]
[1,6,8,3,2,5,4,7]=>[7,4,5,2,3,8,6,1]
[6,1,5,4,7,3,2,8]=>[8,2,3,7,4,5,1,6]
[6,1,5,2,3,7,4,8]=>[8,4,7,3,2,5,1,6]
[7,8,2,1,3,6,4,5]=>[5,4,6,3,1,2,8,7]
[7,8,5,1,3,2,6,4]=>[4,6,2,3,1,5,8,7]
[6,1,7,5,4,3,2,8]=>[8,2,3,4,5,7,1,6]
[5,1,6,8,2,3,7,4]=>[4,7,3,2,8,6,1,5]
[2,6,8,1,5,4,7,3]=>[3,7,4,5,1,8,6,2]
[1,5,4,7,6,2,8,3]=>[3,8,2,6,7,4,5,1]
[2,3,7,6,5,1,8,4]=>[4,8,1,5,6,7,3,2]
[7,5,2,1,6,4,3,8]=>[8,3,4,6,1,2,5,7]
[5,7,2,4,3,1,8,6]=>[6,8,1,3,4,2,7,5]
[6,7,1,3,4,2,8,5]=>[5,8,2,4,3,1,7,6]
[4,3,5,8,6,7,1,2]=>[2,1,7,6,8,5,3,4]
[6,1,5,8,3,2,7,4]=>[4,7,2,3,8,5,1,6]
[3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]
[2,5,8,4,6,3,1,7]=>[7,1,3,6,4,8,5,2]
[3,2,5,8,4,1,6,7]=>[7,6,1,4,8,5,2,3]
[1,4,5,8,7,3,2,6]=>[6,2,3,7,8,5,4,1]
[7,1,5,4,8,3,2,6]=>[6,2,3,8,4,5,1,7]
[6,4,1,7,5,3,2,8]=>[8,2,3,5,7,1,4,6]
[5,2,7,4,6,3,1,8]=>[8,1,3,6,4,7,2,5]
[2,7,1,5,3,8,4,6]=>[6,4,8,3,5,1,7,2]
[2,7,6,4,8,1,5,3]=>[3,5,1,8,4,6,7,2]
[7,2,5,4,8,1,6,3]=>[3,6,1,8,4,5,2,7]
[1,7,2,5,3,8,6,4]=>[4,6,8,3,5,2,7,1]
[7,2,1,4,3,8,5,6]=>[6,5,8,3,4,1,2,7]
[5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]
[6,1,4,2,3,8,7,5]=>[5,7,8,3,2,4,1,6]
[7,1,6,5,3,2,8,4]=>[4,8,2,3,5,6,1,7]
[7,2,3,8,6,1,5,4]=>[4,5,1,6,8,3,2,7]
[7,2,3,8,6,1,4,5]=>[5,4,1,6,8,3,2,7]
[6,2,4,8,1,3,7,5]=>[5,7,3,1,8,4,2,6]
[7,3,2,8,4,1,6,5]=>[5,6,1,4,8,2,3,7]
[7,3,2,5,8,1,6,4]=>[4,6,1,8,5,2,3,7]
[7,8,3,2,6,1,5,4]=>[4,5,1,6,2,3,8,7]
[7,3,2,8,4,1,5,6]=>[6,5,1,4,8,2,3,7]
[6,3,4,8,1,5,2,7]=>[7,2,5,1,8,4,3,6]
[6,3,4,8,1,5,7,2]=>[2,7,5,1,8,4,3,6]
[5,3,8,4,1,2,6,7]=>[7,6,2,1,4,8,3,5]
[2,4,8,3,7,1,5,6]=>[6,5,1,7,3,8,4,2]
[5,2,8,4,1,6,3,7]=>[7,3,6,1,4,8,2,5]
[7,6,5,2,1,8,3,4]=>[4,3,8,1,2,5,6,7]
[7,6,5,2,1,8,4,3]=>[3,4,8,1,2,5,6,7]
[2,7,5,1,8,3,6,4]=>[4,6,3,8,1,5,7,2]
[5,1,8,7,4,3,6,2]=>[2,6,3,4,7,8,1,5]
[3,8,7,2,4,6,1,5]=>[5,1,6,4,2,7,8,3]
[5,7,1,3,2,4,8,6]=>[6,8,4,2,3,1,7,5]
[4,2,7,6,3,5,8,1]=>[1,8,5,3,6,7,2,4]
[8,4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4,8]
[8,1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1,8]
[6,5,1,3,8,7,4,2]=>[2,4,7,8,3,1,5,6]
[4,7,8,3,2,5,1,6]=>[6,1,5,2,3,8,7,4]
[6,1,8,5,3,7,2,4]=>[4,2,7,3,5,8,1,6]
[5,1,6,8,3,7,4,2]=>[2,4,7,3,8,6,1,5]
[8,6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6,8]
[7,6,4,1,3,5,8,2]=>[2,8,5,3,1,4,6,7]
[8,2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2,8]
[2,8,3,7,1,4,5,6]=>[6,5,4,1,7,3,8,2]
[5,6,2,7,4,3,1,8]=>[8,1,3,4,7,2,6,5]
[8,6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6,8]
[3,4,7,6,2,5,1,8]=>[8,1,5,2,6,7,4,3]
[3,4,7,5,2,6,1,8]=>[8,1,6,2,5,7,4,3]
[3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]
[3,7,8,2,6,1,4,5]=>[5,4,1,6,2,8,7,3]
[3,7,8,5,2,1,4,6]=>[6,4,1,2,5,8,7,3]
[6,8,4,7,3,1,2,5]=>[5,2,1,3,7,4,8,6]
[3,2,7,8,4,1,5,6]=>[6,5,1,4,8,7,2,3]
[6,8,4,7,3,1,5,2]=>[2,5,1,3,7,4,8,6]
[3,7,8,2,6,1,5,4]=>[4,5,1,6,2,8,7,3]
[4,8,6,2,1,7,5,3]=>[3,5,7,1,2,6,8,4]
[4,7,6,2,1,5,8,3]=>[3,8,5,1,2,6,7,4]
[4,7,6,2,1,5,3,8]=>[8,3,5,1,2,6,7,4]
[4,8,6,5,1,2,7,3]=>[3,7,2,1,5,6,8,4]
[7,5,4,6,1,8,3,2]=>[2,3,8,1,6,4,5,7]
[7,5,4,6,1,8,2,3]=>[3,2,8,1,6,4,5,7]
[4,8,6,5,1,2,3,7]=>[7,3,2,1,5,6,8,4]
[3,4,5,1,8,6,2,7]=>[7,2,6,8,1,5,4,3]
[3,4,5,1,7,8,6,2]=>[2,6,8,7,1,5,4,3]
[3,4,5,1,7,6,8,2]=>[2,8,6,7,1,5,4,3]
[3,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,3]
[8,4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4,8]
[5,7,2,6,1,8,4,3]=>[3,4,8,1,6,2,7,5]
[5,7,2,6,1,3,8,4]=>[4,8,3,1,6,2,7,5]
[5,8,2,6,1,4,7,3]=>[3,7,4,1,6,2,8,5]
[7,4,6,8,1,3,2,5]=>[5,2,3,1,8,6,4,7]
[7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]
[3,8,7,5,6,1,4,2]=>[2,4,1,6,5,7,8,3]
[6,8,4,7,2,1,5,3]=>[3,5,1,2,7,4,8,6]
[3,2,5,6,1,7,4,8]=>[8,4,7,1,6,5,2,3]
[8,4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4,8]
[3,4,5,1,7,6,2,8]=>[8,2,6,7,1,5,4,3]
[8,5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5,8]
[3,2,5,6,1,4,8,7]=>[7,8,4,1,6,5,2,3]
[8,5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5,8]
[1,7,3,4,5,2,8,6]=>[6,8,2,5,4,3,7,1]
[4,8,2,1,3,5,6,7]=>[7,6,5,3,1,2,8,4]
[1,7,2,5,4,3,8,6]=>[6,8,3,4,5,2,7,1]
[2,6,7,3,4,8,1,5]=>[5,1,8,4,3,7,6,2]
[2,1,5,7,4,3,8,6]=>[6,8,3,4,7,5,1,2]
[4,1,8,7,5,6,2,3]=>[3,2,6,5,7,8,1,4]
[1,5,8,7,4,3,6,2]=>[2,6,3,4,7,8,5,1]
[6,4,1,3,8,7,5,2]=>[2,5,7,8,3,1,4,6]
[2,1,7,4,6,8,3,5]=>[5,3,8,6,4,7,1,2]
[1,7,2,4,6,8,3,5]=>[5,3,8,6,4,2,7,1]
[8,6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6,8]
[7,4,6,1,2,3,8,5]=>[5,8,3,2,1,6,4,7]
[1,8,6,2,7,3,5,4]=>[4,5,3,7,2,6,8,1]
[1,7,8,6,2,3,5,4]=>[4,5,3,2,6,8,7,1]
[2,1,8,3,5,7,6,4]=>[4,6,7,5,3,8,1,2]
[3,5,8,1,7,6,2,4]=>[4,2,6,7,1,8,5,3]
[2,8,1,3,6,7,5,4]=>[4,5,7,6,3,1,8,2]
[7,2,4,8,6,1,5,3]=>[3,5,1,6,8,4,2,7]
[1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]
[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]
[6,2,4,3,8,1,7,5]=>[5,7,1,8,3,4,2,6]
[5,7,4,3,1,6,2,8]=>[8,2,6,1,3,4,7,5]
[5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]
[4,2,8,1,5,7,6,3]=>[3,6,7,5,1,8,2,4]
[8,3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3,8]
[6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]
[5,4,7,3,2,6,8,1]=>[1,8,6,2,3,7,4,5]
[3,7,6,4,2,5,8,1]=>[1,8,5,2,4,6,7,3]
[5,7,2,6,3,4,8,1]=>[1,8,4,3,6,2,7,5]
[3,7,5,4,6,2,8,1]=>[1,8,2,6,4,5,7,3]
[2,7,5,4,6,8,3,1]=>[1,3,8,6,4,5,7,2]
[8,2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2,8]
[3,7,5,4,2,8,6,1]=>[1,6,8,2,4,5,7,3]
[5,7,2,3,6,8,4,1]=>[1,4,8,6,3,2,7,5]
[3,7,2,6,5,8,4,1]=>[1,4,8,5,6,2,7,3]
[5,4,2,7,6,8,3,1]=>[1,3,8,6,7,2,4,5]
[5,8,1,7,3,4,2,6]=>[6,2,4,3,7,1,8,5]
[6,8,3,2,1,7,4,5]=>[5,4,7,1,2,3,8,6]
[4,8,5,1,7,3,2,6]=>[6,2,3,7,1,5,8,4]
[4,8,1,7,5,3,2,6]=>[6,2,3,5,7,1,8,4]
[5,4,8,2,6,3,1,7]=>[7,1,3,6,2,8,4,5]
[3,7,6,2,8,1,5,4]=>[4,5,1,8,2,6,7,3]
[7,5,2,8,1,3,6,4]=>[4,6,3,1,8,2,5,7]
[5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]
[4,3,7,6,2,8,5,1]=>[1,5,8,2,6,7,3,4]
[6,3,2,5,8,7,4,1]=>[1,4,7,8,5,2,3,6]
[7,3,5,2,8,1,6,4]=>[4,6,1,8,2,5,3,7]
[8,3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3,8]
[8,4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4,8]
[3,6,5,2,8,7,4,1]=>[1,4,7,8,2,5,6,3]
[3,6,5,7,2,8,4,1]=>[1,4,8,2,7,5,6,3]
[4,6,5,3,8,2,1,7]=>[7,1,2,8,3,5,6,4]
[2,6,5,8,7,3,1,4]=>[4,1,3,7,8,5,6,2]
[2,6,5,8,4,3,7,1]=>[1,7,3,4,8,5,6,2]
[8,2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2,8]
[6,3,8,4,1,7,2,5]=>[5,2,7,1,4,8,3,6]
[7,2,8,1,6,4,3,5]=>[5,3,4,6,1,8,2,7]
[3,2,8,7,6,4,1,5]=>[5,1,4,6,7,8,2,3]
[5,4,2,8,7,3,1,6]=>[6,1,3,7,8,2,4,5]
[3,6,8,5,1,7,2,4]=>[4,2,7,1,5,8,6,3]
[8,2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2,8]
[3,7,2,8,5,4,6,1]=>[1,6,4,5,8,2,7,3]
[5,4,2,8,6,3,7,1]=>[1,7,3,6,8,2,4,5]
[2,8,7,5,3,1,4,6]=>[6,4,1,3,5,7,8,2]
[2,5,6,3,1,4,8,7]=>[7,8,4,1,3,6,5,2]
[2,4,7,8,5,3,1,6]=>[6,1,3,5,8,7,4,2]
[2,4,3,7,8,5,1,6]=>[6,1,5,8,7,3,4,2]
[6,3,4,5,1,2,8,7]=>[7,8,2,1,5,4,3,6]
[6,5,3,2,4,1,8,7]=>[7,8,1,4,2,3,5,6]
[6,5,8,7,3,2,4,1]=>[1,4,2,3,7,8,5,6]
[6,3,2,4,1,7,8,5]=>[5,8,7,1,4,2,3,6]
[2,1,4,7,8,5,3,6]=>[6,3,5,8,7,4,1,2]
[8,3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3,8]
[8,3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3,8]
[8,5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5,8]
[8,7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7,8]
[4,8,7,5,3,2,6,1]=>[1,6,2,3,5,7,8,4]
[4,7,8,5,3,1,6,2]=>[2,6,1,3,5,8,7,4]
[8,5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5,8]
[8,3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3,8]
[8,5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5,8]
[8,5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5,8]
[6,1,4,3,7,8,2,5]=>[5,2,8,7,3,4,1,6]
[6,3,4,7,8,1,2,5]=>[5,2,1,8,7,4,3,6]
[7,3,6,5,8,1,2,4]=>[4,2,1,8,5,6,3,7]
[6,5,3,2,4,8,7,1]=>[1,7,8,4,2,3,5,6]
[2,5,7,1,6,8,3,4]=>[4,3,8,6,1,7,5,2]
[6,1,2,7,5,8,3,4]=>[4,3,8,5,7,2,1,6]
[7,1,2,4,6,8,3,5]=>[5,3,8,6,4,2,1,7]
[3,7,1,2,4,6,8,5]=>[5,8,6,4,2,1,7,3]
[2,4,1,7,3,6,8,5]=>[5,8,6,3,7,1,4,2]
[2,4,3,6,1,7,8,5]=>[5,8,7,1,6,3,4,2]
[2,7,3,1,4,6,8,5]=>[5,8,6,4,1,3,7,2]
[2,8,3,1,6,5,7,4]=>[4,7,5,6,1,3,8,2]
[2,8,5,6,7,3,1,4]=>[4,1,3,7,6,5,8,2]
[2,7,8,5,3,1,6,4]=>[4,6,1,3,5,8,7,2]
[8,2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2,8]
[5,8,1,6,2,4,7,3]=>[3,7,4,2,6,1,8,5]
[3,8,5,6,7,1,2,4]=>[4,2,1,7,6,5,8,3]
[6,5,1,2,8,4,7,3]=>[3,7,4,8,2,1,5,6]
[6,1,2,4,8,5,7,3]=>[3,7,5,8,4,2,1,6]
[2,5,8,1,4,6,7,3]=>[3,7,6,4,1,8,5,2]
[2,4,5,8,7,3,6,1]=>[1,6,3,7,8,5,4,2]
[7,1,4,2,6,8,5,3]=>[3,5,8,6,2,4,1,7]
[7,1,8,5,2,4,6,3]=>[3,6,4,2,5,8,1,7]
[2,1,8,7,5,4,6,3]=>[3,6,4,5,7,8,1,2]
[4,8,1,7,5,3,6,2]=>[2,6,3,5,7,1,8,4]
[8,1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1,8]
[8,1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1,8]
[7,8,3,4,1,6,5,2]=>[2,5,6,1,4,3,8,7]
[8,7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7,8]
[8,4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4,8]
[4,7,2,8,6,3,1,5]=>[5,1,3,6,8,2,7,4]
[4,7,5,2,3,8,1,6]=>[6,1,8,3,2,5,7,4]
[6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]
[7,5,1,3,6,4,8,2]=>[2,8,4,6,3,1,5,7]
[6,5,2,3,7,8,4,1]=>[1,4,8,7,3,2,5,6]
[7,2,6,3,1,5,8,4]=>[4,8,5,1,3,6,2,7]
[4,6,3,8,7,5,1,2]=>[2,1,5,7,8,3,6,4]
[2,8,4,1,5,7,6,3]=>[3,6,7,5,1,4,8,2]
[1,8,4,2,5,7,6,3]=>[3,6,7,5,2,4,8,1]
[2,8,5,4,1,7,6,3]=>[3,6,7,1,4,5,8,2]
[2,5,8,3,7,1,6,4]=>[4,6,1,7,3,8,5,2]
[1,8,5,2,4,7,6,3]=>[3,6,7,4,2,5,8,1]
[1,4,6,2,8,7,5,3]=>[3,5,7,8,2,6,4,1]
[7,8,2,4,1,6,5,3]=>[3,5,6,1,4,2,8,7]
[2,4,6,1,8,7,5,3]=>[3,5,7,8,1,6,4,2]
[2,8,4,5,1,7,6,3]=>[3,6,7,1,5,4,8,2]
[3,5,8,2,7,6,1,4]=>[4,1,6,7,2,8,5,3]
[2,1,6,8,7,5,3,4]=>[4,3,5,7,8,6,1,2]
[1,8,2,4,5,7,6,3]=>[3,6,7,5,4,2,8,1]
[1,2,8,3,5,7,6,4]=>[4,6,7,5,3,8,2,1]
[1,3,8,2,5,7,6,4]=>[4,6,7,5,2,8,3,1]
[2,3,8,1,5,7,6,4]=>[4,6,7,5,1,8,3,2]
[2,6,1,8,7,5,3,4]=>[4,3,5,7,8,1,6,2]
[1,6,2,8,7,5,3,4]=>[4,3,5,7,8,2,6,1]
[1,6,3,8,7,5,2,4]=>[4,2,5,7,8,3,6,1]
[2,6,3,8,7,5,1,4]=>[4,1,5,7,8,3,6,2]
[3,2,8,1,5,7,6,4]=>[4,6,7,5,1,8,2,3]
[3,1,8,2,5,7,6,4]=>[4,6,7,5,2,8,1,3]
[2,8,1,4,5,7,6,3]=>[3,6,7,5,4,1,8,2]
[7,8,2,1,4,6,5,3]=>[3,5,6,4,1,2,8,7]
[2,3,6,8,7,5,1,4]=>[4,1,5,7,8,6,3,2]
[3,1,6,8,7,2,5,4]=>[4,5,2,7,8,6,1,3]
[3,8,4,5,1,6,2,7]=>[7,2,6,1,5,4,8,3]
[6,1,4,5,7,2,3,8]=>[8,3,2,7,5,4,1,6]
[8,1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1,8]
[8,3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3,8]
[5,3,8,6,2,7,1,4]=>[4,1,7,2,6,8,3,5]
[8,3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3,8]
[8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]
[1,8,5,3,7,2,4,6]=>[6,4,2,7,3,5,8,1]
[6,8,1,4,5,2,3,7]=>[7,3,2,5,4,1,8,6]
[1,5,8,4,6,2,3,7]=>[7,3,2,6,4,8,5,1]
[2,1,6,5,3,8,4,7]=>[7,4,8,3,5,6,1,2]
[1,4,6,8,5,2,3,7]=>[7,3,2,5,8,6,4,1]
[5,6,8,1,4,2,3,7]=>[7,3,2,4,1,8,6,5]
[5,7,4,8,1,2,3,6]=>[6,3,2,1,8,4,7,5]
[1,5,4,7,2,3,8,6]=>[6,8,3,2,7,4,5,1]
[4,7,5,1,8,2,3,6]=>[6,3,2,8,1,5,7,4]
[5,3,7,1,2,4,8,6]=>[6,8,4,2,1,7,3,5]
[8,2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2,8]
[4,7,8,1,2,6,3,5]=>[5,3,6,2,1,8,7,4]
[8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]
[1,6,5,8,7,2,3,4]=>[4,3,2,7,8,5,6,1]
[8,6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6,8]
[7,2,1,3,6,4,8,5]=>[5,8,4,6,3,1,2,7]
[3,7,1,6,2,4,8,5]=>[5,8,4,2,6,1,7,3]
[5,1,2,7,6,8,3,4]=>[4,3,8,6,7,2,1,5]
[6,1,7,2,5,8,3,4]=>[4,3,8,5,2,7,1,6]
[1,7,6,5,8,2,3,4]=>[4,3,2,8,5,6,7,1]
[1,6,8,5,7,2,3,4]=>[4,3,2,7,5,8,6,1]
[7,5,1,2,6,8,3,4]=>[4,3,8,6,2,1,5,7]
[6,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,6]
[1,6,3,8,7,2,4,5]=>[5,4,2,7,8,3,6,1]
[1,7,3,2,4,6,8,5]=>[5,8,6,4,2,3,7,1]
[8,3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3,8]
[4,1,8,3,2,7,5,6]=>[6,5,7,2,3,8,1,4]
[3,1,2,7,8,4,6,5]=>[5,6,4,8,7,2,1,3]
[3,8,1,2,7,6,4,5]=>[5,4,6,7,2,1,8,3]
[7,1,4,8,2,6,3,5]=>[5,3,6,2,8,4,1,7]
[5,1,2,6,8,7,3,4]=>[4,3,7,8,6,2,1,5]
[1,8,6,2,5,7,3,4]=>[4,3,7,5,2,6,8,1]
[5,7,8,1,2,6,3,4]=>[4,3,6,2,1,8,7,5]
[8,1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1,8]
[7,1,6,8,5,2,3,4]=>[4,3,2,5,8,6,1,7]
[3,7,1,2,8,4,6,5]=>[5,6,4,8,2,1,7,3]
[7,2,1,8,3,4,6,5]=>[5,6,4,3,8,1,2,7]
[8,3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3,8]
[1,5,8,7,6,2,3,4]=>[4,3,2,6,7,8,5,1]
[7,8,6,1,5,2,3,4]=>[4,3,2,5,1,6,8,7]
[7,8,6,3,1,5,2,4]=>[4,2,5,1,3,6,8,7]
[7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]
[1,7,4,8,2,5,3,6]=>[6,3,5,2,8,4,7,1]
[3,8,6,1,4,2,7,5]=>[5,7,2,4,1,6,8,3]
[7,1,8,2,4,6,3,5]=>[5,3,6,4,2,8,1,7]
[7,6,8,4,1,5,3,2]=>[2,3,5,1,4,8,6,7]
[7,3,2,8,1,5,4,6]=>[6,4,5,1,8,2,3,7]
[3,5,4,1,7,2,6,8]=>[8,6,2,7,1,4,5,3]
[6,4,7,3,2,5,1,8]=>[8,1,5,2,3,7,4,6]
[7,6,5,3,8,4,1,2]=>[2,1,4,8,3,5,6,7]
[6,4,5,7,8,1,3,2]=>[2,3,1,8,7,5,4,6]
[3,7,4,1,6,8,5,2]=>[2,5,8,6,1,4,7,3]
[3,1,2,7,6,8,5,4]=>[4,5,8,6,7,2,1,3]
[6,3,2,8,4,5,1,7]=>[7,1,5,4,8,2,3,6]
[6,1,8,3,5,4,2,7]=>[7,2,4,5,3,8,1,6]
[3,8,5,2,4,6,1,7]=>[7,1,6,4,2,5,8,3]
[1,6,4,8,3,5,2,7]=>[7,2,5,3,8,4,6,1]
[1,5,4,8,6,3,7,2]=>[2,7,3,6,8,4,5,1]
[4,8,2,5,3,7,1,6]=>[6,1,7,3,5,2,8,4]
[3,8,4,5,2,6,7,1]=>[1,7,6,2,5,4,8,3]
[4,1,8,6,5,3,7,2]=>[2,7,3,5,6,8,1,4]
[5,7,8,4,6,3,2,1]=>[1,2,3,6,4,8,7,5]
[5,3,2,8,6,4,7,1]=>[1,7,4,6,8,2,3,5]
[6,8,1,2,7,4,3,5]=>[5,3,4,7,2,1,8,6]
[5,8,7,3,6,2,4,1]=>[1,4,2,6,3,7,8,5]
[7,5,2,3,4,8,6,1]=>[1,6,8,4,3,2,5,7]
[7,3,5,4,2,8,6,1]=>[1,6,8,2,4,5,3,7]
[5,6,1,3,2,4,7,8]=>[8,7,4,2,3,1,6,5]
[2,5,1,3,7,8,6,4]=>[4,6,8,7,3,1,5,2]
[4,3,7,2,1,8,6,5]=>[5,6,8,1,2,7,3,4]
[4,6,7,2,1,3,5,8]=>[8,5,3,1,2,7,6,4]
[4,6,2,3,1,5,7,8]=>[8,7,5,1,3,2,6,4]
[3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]
[3,1,6,4,7,5,2,8]=>[8,2,5,7,4,6,1,3]
[3,6,2,7,5,4,1,8]=>[8,1,4,5,7,2,6,3]
[2,4,7,5,3,6,1,8]=>[8,1,6,3,5,7,4,2]
[2,5,7,3,4,1,6,8]=>[8,6,1,4,3,7,5,2]
[2,3,5,8,6,4,7,1]=>[1,7,4,6,8,5,3,2]
[2,4,7,3,8,6,5,1]=>[1,5,6,8,3,7,4,2]
[3,4,2,7,5,8,6,1]=>[1,6,8,5,7,2,4,3]
[3,1,5,4,7,8,6,2]=>[2,6,8,7,4,5,1,3]
[4,5,7,2,3,1,8,6]=>[6,8,1,3,2,7,5,4]
[3,7,8,1,4,6,5,2]=>[2,5,6,4,1,8,7,3]
[2,5,8,7,4,1,3,6]=>[6,3,1,4,7,8,5,2]
[2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]
[6,2,4,7,1,3,8,5]=>[5,8,3,1,7,4,2,6]
[7,3,5,1,4,2,8,6]=>[6,8,2,4,1,5,3,7]
[5,4,7,1,3,2,8,6]=>[6,8,2,3,1,7,4,5]
[6,1,4,7,5,3,8,2]=>[2,8,3,5,7,4,1,6]
[8,7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7,8]
[8,7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7,8]
[6,1,8,4,7,3,2,5]=>[5,2,3,7,4,8,1,6]
[4,7,3,6,1,2,8,5]=>[5,8,2,1,6,3,7,4]
[5,2,1,7,4,3,8,6]=>[6,8,3,4,7,1,2,5]
[4,7,6,2,3,1,8,5]=>[5,8,1,3,2,6,7,4]
[7,6,8,2,5,3,4,1]=>[1,4,3,5,2,8,6,7]
[2,3,6,1,8,7,5,4]=>[4,5,7,8,1,6,3,2]
[2,6,8,7,5,3,1,4]=>[4,1,3,5,7,8,6,2]
[6,4,1,7,5,2,8,3]=>[3,8,2,5,7,1,4,6]
[5,7,8,2,3,6,1,4]=>[4,1,6,3,2,8,7,5]
[4,8,7,1,2,5,6,3]=>[3,6,5,2,1,7,8,4]
[2,8,7,4,1,5,6,3]=>[3,6,5,1,4,7,8,2]
[8,6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6,8]
[3,8,6,7,5,2,1,4]=>[4,1,2,5,7,6,8,3]
[6,1,3,7,5,8,2,4]=>[4,2,8,5,7,3,1,6]
[4,7,3,1,8,5,6,2]=>[2,6,5,8,1,3,7,4]
[2,6,7,5,3,4,8,1]=>[1,8,4,3,5,7,6,2]
[2,6,4,5,7,3,8,1]=>[1,8,3,7,5,4,6,2]
[6,1,4,5,8,3,7,2]=>[2,7,3,8,5,4,1,6]
[6,1,8,5,3,4,7,2]=>[2,7,4,3,5,8,1,6]
[4,1,5,6,8,3,7,2]=>[2,7,3,8,6,5,1,4]
[5,4,7,1,8,6,2,3]=>[3,2,6,8,1,7,4,5]
[6,4,1,8,7,2,5,3]=>[3,5,2,7,8,1,4,6]
[4,5,7,2,6,8,1,3]=>[3,1,8,6,2,7,5,4]
[2,8,5,4,1,7,3,6]=>[6,3,7,1,4,5,8,2]
[3,2,8,5,1,7,4,6]=>[6,4,7,1,5,8,2,3]
[1,3,8,5,2,7,4,6]=>[6,4,7,2,5,8,3,1]
[1,3,8,6,7,2,4,5]=>[5,4,2,7,6,8,3,1]
[2,8,3,6,7,1,4,5]=>[5,4,1,7,6,3,8,2]
[2,8,5,6,1,3,7,4]=>[4,7,3,1,6,5,8,2]
[2,8,3,7,6,1,4,5]=>[5,4,1,6,7,3,8,2]
[2,8,7,4,6,1,3,5]=>[5,3,1,6,4,7,8,2]
[3,7,8,4,6,1,2,5]=>[5,2,1,6,4,8,7,3]
[4,7,3,8,6,1,2,5]=>[5,2,1,6,8,3,7,4]
[4,2,7,8,6,1,3,5]=>[5,3,1,6,8,7,2,4]
[3,7,8,6,5,1,4,2]=>[2,4,1,5,6,8,7,3]
[6,3,8,5,2,4,7,1]=>[1,7,4,2,5,8,3,6]
[7,3,8,6,5,2,4,1]=>[1,4,2,5,6,8,3,7]
[1,3,8,7,6,2,4,5]=>[5,4,2,6,7,8,3,1]
[1,4,7,8,6,2,3,5]=>[5,3,2,6,8,7,4,1]
[1,7,5,6,8,2,3,4]=>[4,3,2,8,6,5,7,1]
[7,4,6,8,5,2,3,1]=>[1,3,2,5,8,6,4,7]
[7,4,5,8,2,6,3,1]=>[1,3,6,2,8,5,4,7]
[4,6,5,8,1,3,7,2]=>[2,7,3,1,8,5,6,4]
[5,7,6,4,8,1,3,2]=>[2,3,1,8,4,6,7,5]
[7,5,3,6,8,2,1,4]=>[4,1,2,8,6,3,5,7]
[5,2,6,7,8,1,3,4]=>[4,3,1,8,7,6,2,5]
[4,5,7,8,1,6,2,3]=>[3,2,6,1,8,7,5,4]
[4,5,6,8,1,2,7,3]=>[3,7,2,1,8,6,5,4]
[3,5,8,6,1,2,7,4]=>[4,7,2,1,6,8,5,3]
[3,6,8,7,5,1,2,4]=>[4,2,1,5,7,8,6,3]
[3,6,8,4,7,1,2,5]=>[5,2,1,7,4,8,6,3]
[4,2,6,8,7,1,3,5]=>[5,3,1,7,8,6,2,4]
[1,4,6,8,7,2,3,5]=>[5,3,2,7,8,6,4,1]
[4,5,3,8,1,7,2,6]=>[6,2,7,1,8,3,5,4]
[3,5,8,4,1,7,2,6]=>[6,2,7,1,4,8,5,3]
[3,4,8,1,5,7,2,6]=>[6,2,7,5,1,8,4,3]
[5,3,8,4,2,7,1,6]=>[6,1,7,2,4,8,3,5]
[5,2,4,8,1,7,3,6]=>[6,3,7,1,8,4,2,5]
[5,3,8,7,2,6,1,4]=>[4,1,6,2,7,8,3,5]
[5,3,8,6,2,1,7,4]=>[4,7,1,2,6,8,3,5]
[1,6,5,7,8,2,3,4]=>[4,3,2,8,7,5,6,1]
[6,7,3,5,8,2,1,4]=>[4,1,2,8,5,3,7,6]
[6,7,4,8,5,2,3,1]=>[1,3,2,5,8,4,7,6]
[5,6,4,8,2,3,7,1]=>[1,7,3,2,8,4,6,5]
[6,5,4,8,1,3,7,2]=>[2,7,3,1,8,4,5,6]
[7,6,4,8,5,1,3,2]=>[2,3,1,5,8,4,6,7]
[6,2,7,5,8,1,3,4]=>[4,3,1,8,5,7,2,6]
[7,2,6,5,8,1,3,4]=>[4,3,1,8,5,6,2,7]
[7,2,6,4,1,3,5,8]=>[8,5,3,1,4,6,2,7]
[7,1,3,4,6,2,5,8]=>[8,5,2,6,4,3,1,7]
[7,3,6,5,2,4,1,8]=>[8,1,4,2,5,6,3,7]
[6,3,7,5,2,4,8,1]=>[1,8,4,2,5,7,3,6]
[8,1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1,8]
[2,5,7,4,6,1,3,8]=>[8,3,1,6,4,7,5,2]
[8,5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5,8]
[4,6,8,3,1,2,7,5]=>[5,7,2,1,3,8,6,4]
[6,1,7,4,5,3,8,2]=>[2,8,3,5,4,7,1,6]
[8,5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5,8]
[8,2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2,8]
[8,2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2,8]
[2,6,4,8,3,1,7,5]=>[5,7,1,3,8,4,6,2]
[8,1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1,8]
[3,8,2,6,1,4,7,5]=>[5,7,4,1,6,2,8,3]
[1,6,4,7,5,8,3,2]=>[2,3,8,5,7,4,6,1]
[1,6,8,5,7,3,2,4]=>[4,2,3,7,5,8,6,1]
[1,2,5,3,8,6,7,4]=>[4,7,6,8,3,5,2,1]
[6,3,5,7,8,1,2,4]=>[4,2,1,8,7,5,3,6]
[4,1,6,5,7,8,2,3]=>[3,2,8,7,5,6,1,4]
[3,8,1,2,6,4,7,5]=>[5,7,4,6,2,1,8,3]
[6,1,3,7,4,2,8,5]=>[5,8,2,4,7,3,1,6]
[6,7,2,4,1,3,8,5]=>[5,8,3,1,4,2,7,6]
[8,7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7,8]
[7,8,4,6,3,2,5,1]=>[1,5,2,3,6,4,8,7]
[8,7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7,8]
[7,3,8,4,2,6,5,1]=>[1,5,6,2,4,8,3,7]
[8,5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5,8]
[8,1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1,8]
[8,4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4,8]
[8,4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4,8]
[4,8,2,6,1,3,7,5]=>[5,7,3,1,6,2,8,4]
[3,4,1,6,8,2,7,5]=>[5,7,2,8,6,1,4,3]
[1,3,8,2,5,6,7,4]=>[4,7,6,5,2,8,3,1]
[3,7,8,2,5,6,4,1]=>[1,4,6,5,2,8,7,3]
[8,1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1,8]
[1,8,6,7,2,5,4,3]=>[3,4,5,2,7,6,8,1]
[7,6,8,3,5,4,2,1]=>[1,2,4,5,3,8,6,7]
[1,6,7,3,8,5,4,2]=>[2,4,5,8,3,7,6,1]
[7,3,4,8,1,6,5,2]=>[2,5,6,1,8,4,3,7]
[7,8,4,6,2,1,5,3]=>[3,5,1,2,6,4,8,7]
[8,7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7,8]
[8,7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7,8]
[2,8,6,7,1,5,4,3]=>[3,4,5,1,7,6,8,2]
[7,8,6,5,2,4,3,1]=>[1,3,4,2,5,6,8,7]
[3,6,7,5,2,8,4,1]=>[1,4,8,2,5,7,6,3]
[5,4,6,7,8,1,3,2]=>[2,3,1,8,7,6,4,5]
[5,3,6,7,8,1,4,2]=>[2,4,1,8,7,6,3,5]
[5,3,7,6,8,4,1,2]=>[2,1,4,8,6,7,3,5]
[6,3,7,5,4,8,2,1]=>[1,2,8,4,5,7,3,6]
[5,3,7,6,4,8,1,2]=>[2,1,8,4,6,7,3,5]
[7,5,3,2,8,6,4,1]=>[1,4,6,8,2,3,5,7]
[5,4,8,6,7,2,3,1]=>[1,3,2,7,6,8,4,5]
[2,7,8,4,6,3,5,1]=>[1,5,3,6,4,8,7,2]
[5,4,8,6,3,1,2,7]=>[7,2,1,3,6,8,4,5]
[6,4,3,7,5,2,8,1]=>[1,8,2,5,7,3,4,6]
[4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]
[4,5,6,3,8,2,7,1]=>[1,7,2,8,3,6,5,4]
[8,4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4,8]
[5,4,8,7,2,1,3,6]=>[6,3,1,2,7,8,4,5]
[2,5,4,7,8,1,3,6]=>[6,3,1,8,7,4,5,2]
[7,1,6,3,5,2,8,4]=>[4,8,2,5,3,6,1,7]
[7,1,4,3,6,2,8,5]=>[5,8,2,6,3,4,1,7]
[5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]
[5,3,7,4,6,2,8,1]=>[1,8,2,6,4,7,3,5]
[8,2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2,8]
[8,2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2,8]
[8,2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2,8]
[8,3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3,8]
[4,5,6,2,7,3,8,1]=>[1,8,3,7,2,6,5,4]
[5,2,7,1,3,6,8,4]=>[4,8,6,3,1,7,2,5]
[5,3,1,7,6,2,8,4]=>[4,8,2,6,7,1,3,5]
[7,5,1,6,4,2,8,3]=>[3,8,2,4,6,1,5,7]
[7,4,6,1,5,2,8,3]=>[3,8,2,5,1,6,4,7]
[5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]
[8,4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4,8]
[8,5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5,8]
[5,2,1,6,3,8,7,4]=>[4,7,8,3,6,1,2,5]
[4,5,6,3,7,1,8,2]=>[2,8,1,7,3,6,5,4]
[6,3,2,8,5,4,1,7]=>[7,1,4,5,8,2,3,6]
[2,7,4,1,5,3,6,8]=>[8,6,3,5,1,4,7,2]
[3,8,4,2,5,1,6,7]=>[7,6,1,5,2,4,8,3]
[4,3,1,5,2,8,6,7]=>[7,6,8,2,5,1,3,4]
[8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]
[3,8,4,1,5,2,6,7]=>[7,6,2,5,1,4,8,3]
[2,5,4,3,8,1,6,7]=>[7,6,1,8,3,4,5,2]
[2,5,7,4,3,1,6,8]=>[8,6,1,3,4,7,5,2]
[5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]
[3,7,5,4,1,2,6,8]=>[8,6,2,1,4,5,7,3]
[7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]
[4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]
[4,2,5,1,3,8,7,6]=>[6,7,8,3,1,5,2,4]
[4,3,5,1,2,7,6,8]=>[8,6,7,2,1,5,3,4]
[5,3,4,1,7,2,6,8]=>[8,6,2,7,1,4,3,5]
[4,1,6,3,5,2,7,8]=>[8,7,2,5,3,6,1,4]
[4,1,6,5,3,2,7,8]=>[8,7,2,3,5,6,1,4]
[7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]
[4,2,1,8,6,3,7,5]=>[5,7,3,6,8,1,2,4]
[7,3,6,4,1,2,5,8]=>[8,5,2,1,4,6,3,7]
[7,1,6,3,5,2,4,8]=>[8,4,2,5,3,6,1,7]
[3,1,7,2,5,6,4,8]=>[8,4,6,5,2,7,1,3]
[2,6,5,3,1,4,7,8]=>[8,7,4,1,3,5,6,2]
[7,6,2,1,5,3,4,8]=>[8,4,3,5,1,2,6,7]
[3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]
[3,7,2,4,1,6,5,8]=>[8,5,6,1,4,2,7,3]
[2,7,6,4,1,3,5,8]=>[8,5,3,1,4,6,7,2]
[7,3,2,1,6,4,5,8]=>[8,5,4,6,1,2,3,7]
[2,7,3,1,6,4,5,8]=>[8,5,4,6,1,3,7,2]
[5,8,3,2,7,4,1,6]=>[6,1,4,7,2,3,8,5]
[2,8,6,1,7,4,3,5]=>[5,3,4,7,1,6,8,2]
[7,3,2,6,1,5,4,8]=>[8,4,5,1,6,2,3,7]
[2,7,3,6,1,5,4,8]=>[8,4,5,1,6,3,7,2]
[2,3,7,6,1,5,4,8]=>[8,4,5,1,6,7,3,2]
[2,5,4,6,1,3,7,8]=>[8,7,3,1,6,4,5,2]
[2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]
[2,5,4,1,7,3,6,8]=>[8,6,3,7,1,4,5,2]
[6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]
[2,8,5,7,1,3,6,4]=>[4,6,3,1,7,5,8,2]
[8,5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5,8]
[7,1,5,6,3,2,4,8]=>[8,4,2,3,6,5,1,7]
[7,1,2,5,4,6,3,8]=>[8,3,6,4,5,2,1,7]
[2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]
[4,1,2,7,5,6,3,8]=>[8,3,6,5,7,2,1,4]
[7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]
[7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]
[7,1,3,5,6,2,4,8]=>[8,4,2,6,5,3,1,7]
[8,2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2,8]
[2,8,5,1,6,4,7,3]=>[3,7,4,6,1,5,8,2]
[6,1,4,5,3,2,7,8]=>[8,7,2,3,5,4,1,6]
[3,1,6,5,4,2,7,8]=>[8,7,2,4,5,6,1,3]
[3,1,4,6,5,2,7,8]=>[8,7,2,5,6,4,1,3]
[6,4,1,5,3,2,8,7]=>[7,8,2,3,5,1,4,6]
[8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]
[5,7,3,1,8,4,2,6]=>[6,2,4,8,1,3,7,5]
[2,1,8,6,3,7,5,4]=>[4,5,7,3,6,8,1,2]
[4,8,2,3,7,6,5,1]=>[1,5,6,7,3,2,8,4]
[5,8,3,1,7,6,4,2]=>[2,4,6,7,1,3,8,5]
[7,8,5,1,2,6,4,3]=>[3,4,6,2,1,5,8,7]
[6,8,5,7,2,4,3,1]=>[1,3,4,2,7,5,8,6]
[7,4,6,3,1,8,2,5]=>[5,2,8,1,3,6,4,7]
[7,4,1,6,8,3,2,5]=>[5,2,3,8,6,1,4,7]
[7,6,3,2,8,5,1,4]=>[4,1,5,8,2,3,6,7]
[7,5,1,8,4,6,2,3]=>[3,2,6,4,8,1,5,7]
[7,6,2,4,1,3,8,5]=>[5,8,3,1,4,2,6,7]
[7,3,8,5,2,6,1,4]=>[4,1,6,2,5,8,3,7]
[5,3,8,4,7,2,1,6]=>[6,1,2,7,4,8,3,5]
[5,6,3,8,7,4,1,2]=>[2,1,4,7,8,3,6,5]
[5,2,6,8,7,4,1,3]=>[3,1,4,7,8,6,2,5]
[6,7,3,8,1,5,4,2]=>[2,4,5,1,8,3,7,6]
[6,3,8,4,1,5,2,7]=>[7,2,5,1,4,8,3,6]
[6,3,8,1,5,4,2,7]=>[7,2,4,5,1,8,3,6]
[6,3,8,1,4,5,2,7]=>[7,2,5,4,1,8,3,6]
[4,3,8,5,7,2,6,1]=>[1,6,2,7,5,8,3,4]
[6,3,8,5,1,4,2,7]=>[7,2,4,1,5,8,3,6]
[6,3,8,5,4,1,2,7]=>[7,2,1,4,5,8,3,6]
[6,3,8,4,5,1,2,7]=>[7,2,1,5,4,8,3,6]
[2,6,3,4,8,1,5,7]=>[7,5,1,8,4,3,6,2]
[5,6,1,8,7,4,3,2]=>[2,3,4,7,8,1,6,5]
[5,2,3,1,4,8,6,7]=>[7,6,8,4,1,3,2,5]
[5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]
[3,7,4,2,8,5,6,1]=>[1,6,5,8,2,4,7,3]
[5,1,4,3,2,8,6,7]=>[7,6,8,2,3,4,1,5]
[5,1,3,4,2,8,6,7]=>[7,6,8,2,4,3,1,5]
[5,2,1,4,3,8,6,7]=>[7,6,8,3,4,1,2,5]
[5,2,1,3,4,8,6,7]=>[7,6,8,4,3,1,2,5]
[5,1,2,4,3,8,6,7]=>[7,6,8,3,4,2,1,5]
[6,7,1,8,3,5,4,2]=>[2,4,5,3,8,1,7,6]
[3,2,6,1,8,4,5,7]=>[7,5,4,8,1,6,2,3]
[4,2,7,3,8,5,1,6]=>[6,1,5,8,3,7,2,4]
[4,7,3,2,8,5,1,6]=>[6,1,5,8,2,3,7,4]
[2,3,7,4,8,5,1,6]=>[6,1,5,8,4,7,3,2]
[5,7,6,8,2,4,3,1]=>[1,3,4,2,8,6,7,5]
[4,3,7,2,8,5,6,1]=>[1,6,5,8,2,7,3,4]
[2,3,7,1,8,5,4,6]=>[6,4,5,8,1,7,3,2]
[5,3,1,2,4,8,6,7]=>[7,6,8,4,2,1,3,5]
[5,4,3,1,2,8,6,7]=>[7,6,8,2,1,3,4,5]
[5,2,4,1,3,8,6,7]=>[7,6,8,3,1,4,2,5]
[5,2,4,3,1,8,6,7]=>[7,6,8,1,3,4,2,5]
[3,4,2,7,8,5,6,1]=>[1,6,5,8,7,2,4,3]
[4,3,1,6,8,2,5,7]=>[7,5,2,8,6,1,3,4]
[5,3,4,1,2,8,6,7]=>[7,6,8,2,1,4,3,5]
[5,3,2,4,1,8,6,7]=>[7,6,8,1,4,2,3,5]
[5,2,3,4,1,8,6,7]=>[7,6,8,1,4,3,2,5]
[2,6,1,7,4,5,8,3]=>[3,8,5,4,7,1,6,2]
[5,1,7,3,4,6,8,2]=>[2,8,6,4,3,7,1,5]
[5,8,7,4,3,1,6,2]=>[2,6,1,3,4,7,8,5]
[6,8,7,1,4,3,5,2]=>[2,5,3,4,1,7,8,6]
[7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]
[6,8,1,3,4,5,7,2]=>[2,7,5,4,3,1,8,6]
[5,8,1,3,4,6,7,2]=>[2,7,6,4,3,1,8,5]
[5,2,6,3,7,8,1,4]=>[4,1,8,7,3,6,2,5]
[3,5,2,8,1,6,7,4]=>[4,7,6,1,8,2,5,3]
[4,5,6,2,8,1,7,3]=>[3,7,1,8,2,6,5,4]
[2,6,1,4,8,5,7,3]=>[3,7,5,8,4,1,6,2]
[6,1,8,4,2,5,3,7]=>[7,3,5,2,4,8,1,6]
[8,4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4,8]
[5,1,6,3,2,8,4,7]=>[7,4,8,2,3,6,1,5]
[3,1,7,8,2,5,4,6]=>[6,4,5,2,8,7,1,3]
[6,2,8,3,5,7,1,4]=>[4,1,7,5,3,8,2,6]
[6,2,3,7,4,1,8,5]=>[5,8,1,4,7,3,2,6]
[6,3,7,4,1,2,5,8]=>[8,5,2,1,4,7,3,6]
[7,2,6,8,4,3,1,5]=>[5,1,3,4,8,6,2,7]
[3,7,2,8,6,5,1,4]=>[4,1,5,6,8,2,7,3]
[5,2,7,3,6,1,8,4]=>[4,8,1,6,3,7,2,5]
[3,6,7,5,1,2,4,8]=>[8,4,2,1,5,7,6,3]
[2,7,5,8,1,6,4,3]=>[3,4,6,1,8,5,7,2]
[7,4,5,1,8,2,3,6]=>[6,3,2,8,1,5,4,7]
[4,7,1,8,2,3,6,5]=>[5,6,3,2,8,1,7,4]
[7,2,3,1,8,4,5,6]=>[6,5,4,8,1,3,2,7]
[2,1,4,8,3,7,5,6]=>[6,5,7,3,8,4,1,2]
[6,2,8,1,7,3,4,5]=>[5,4,3,7,1,8,2,6]
[4,8,1,6,7,3,2,5]=>[5,2,3,7,6,1,8,4]
[1,2,7,8,4,3,6,5]=>[5,6,3,4,8,7,2,1]
[5,8,1,4,3,2,7,6]=>[6,7,2,3,4,1,8,5]
[4,8,1,3,5,6,2,7]=>[7,2,6,5,3,1,8,4]
[6,8,1,3,2,4,5,7]=>[7,5,4,2,3,1,8,6]
[3,7,4,1,5,6,8,2]=>[2,8,6,5,1,4,7,3]
[5,3,7,8,4,2,6,1]=>[1,6,2,4,8,7,3,5]
[6,3,7,8,2,4,5,1]=>[1,5,4,2,8,7,3,6]
[7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]
[8,5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5,8]
[7,5,4,2,3,1,8,6]=>[6,8,1,3,2,4,5,7]
[5,7,4,1,3,2,8,6]=>[6,8,2,3,1,4,7,5]
[8,6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6,8]
[3,7,6,1,8,4,5,2]=>[2,5,4,8,1,6,7,3]
[7,5,6,2,8,1,3,4]=>[4,3,1,8,2,6,5,7]
[3,5,6,4,8,1,7,2]=>[2,7,1,8,4,6,5,3]
[8,4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4,8]
[3,5,4,6,7,1,8,2]=>[2,8,1,7,6,4,5,3]
[1,4,2,6,5,8,7,3]=>[3,7,8,5,6,2,4,1]
[1,3,2,6,4,8,7,5]=>[5,7,8,4,6,2,3,1]
[1,4,2,5,3,8,7,6]=>[6,7,8,3,5,2,4,1]
[1,4,2,6,3,8,7,5]=>[5,7,8,3,6,2,4,1]
[1,5,2,6,4,8,7,3]=>[3,7,8,4,6,2,5,1]
[1,5,3,6,4,8,7,2]=>[2,7,8,4,6,3,5,1]
[1,6,2,5,3,8,7,4]=>[4,7,8,3,5,2,6,1]
[2,5,1,4,3,8,7,6]=>[6,7,8,3,4,1,5,2]
[1,7,2,5,4,8,6,3]=>[3,6,8,4,5,2,7,1]
[1,7,3,5,4,8,6,2]=>[2,6,8,4,5,3,7,1]
[1,8,2,6,3,7,5,4]=>[4,5,7,3,6,2,8,1]
[1,8,3,6,4,7,5,2]=>[2,5,7,4,6,3,8,1]
[1,7,3,6,4,8,5,2]=>[2,5,8,4,6,3,7,1]
[1,7,2,6,4,8,5,3]=>[3,5,8,4,6,2,7,1]
[1,7,2,6,3,8,5,4]=>[4,5,8,3,6,2,7,1]
[1,5,2,7,4,8,6,3]=>[3,6,8,4,7,2,5,1]
[1,4,3,7,5,8,6,2]=>[2,6,8,5,7,3,4,1]
[1,4,2,8,5,7,6,3]=>[3,6,7,5,8,2,4,1]
[1,3,2,8,4,7,6,5]=>[5,6,7,4,8,2,3,1]
[4,8,1,3,2,6,5,7]=>[7,5,6,2,3,1,8,4]
[1,5,2,8,4,7,6,3]=>[3,6,7,4,8,2,5,1]
[1,5,3,8,4,7,6,2]=>[2,6,7,4,8,3,5,1]
[1,6,3,8,4,7,5,2]=>[2,5,7,4,8,3,6,1]
[1,6,2,8,3,7,5,4]=>[4,5,7,3,8,2,6,1]
[2,7,3,8,1,5,4,6]=>[6,4,5,1,8,3,7,2]
[2,8,3,7,1,5,4,6]=>[6,4,5,1,7,3,8,2]
[1,8,4,7,3,6,5,2]=>[2,5,6,3,7,4,8,1]
[1,7,4,8,3,6,5,2]=>[2,5,6,3,8,4,7,1]
[3,8,2,6,1,5,4,7]=>[7,4,5,1,6,2,8,3]
[2,6,3,8,1,5,4,7]=>[7,4,5,1,8,3,6,2]
[8,3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3,8]
[4,8,7,3,5,2,1,6]=>[6,1,2,5,3,7,8,4]
[6,8,7,3,5,2,4,1]=>[1,4,2,5,3,7,8,6]
[8,3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3,8]
[8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]
[8,6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6,8]
[8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]
[5,3,8,7,4,6,2,1]=>[1,2,6,4,7,8,3,5]
[2,3,8,7,4,6,1,5]=>[5,1,6,4,7,8,3,2]
[8,3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3,8]
[4,8,5,3,1,2,7,6]=>[6,7,2,1,3,5,8,4]
[6,8,7,3,1,5,4,2]=>[2,4,5,1,3,7,8,6]
[6,8,5,4,1,3,7,2]=>[2,7,3,1,4,5,8,6]
[2,5,8,7,4,6,3,1]=>[1,3,6,4,7,8,5,2]
[4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]
[3,8,7,5,1,6,2,4]=>[4,2,6,1,5,7,8,3]
[2,3,8,7,5,6,1,4]=>[4,1,6,5,7,8,3,2]
[2,8,7,1,3,6,4,5]=>[5,4,6,3,1,7,8,2]
[8,5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5,8]
[6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]
[3,5,8,6,4,2,7,1]=>[1,7,2,4,6,8,5,3]
[6,8,4,1,5,2,7,3]=>[3,7,2,5,1,4,8,6]
[6,8,2,1,7,5,3,4]=>[4,3,5,7,1,2,8,6]
[5,8,4,6,1,2,7,3]=>[3,7,2,1,6,4,8,5]
[2,4,8,6,5,1,7,3]=>[3,7,1,5,6,8,4,2]
[4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]
[4,8,7,5,1,6,2,3]=>[3,2,6,1,5,7,8,4]
[4,5,2,1,8,6,7,3]=>[3,7,6,8,1,2,5,4]
[4,5,8,3,1,6,7,2]=>[2,7,6,1,3,8,5,4]
[5,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,5]
[6,7,3,2,4,8,5,1]=>[1,5,8,4,2,3,7,6]
[7,2,8,6,4,5,1,3]=>[3,1,5,4,6,8,2,7]
[8,7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7,8]
[5,2,7,8,4,1,3,6]=>[6,3,1,4,8,7,2,5]
[2,7,8,6,4,1,3,5]=>[5,3,1,4,6,8,7,2]
[7,6,3,5,2,8,4,1]=>[1,4,8,2,5,3,6,7]
[6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6]
[8,6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6,8]
[6,8,5,1,7,3,2,4]=>[4,2,3,7,1,5,8,6]
[1,6,8,3,7,4,2,5]=>[5,2,4,7,3,8,6,1]
[5,1,6,3,4,8,2,7]=>[7,2,8,4,3,6,1,5]
[3,5,2,6,4,8,1,7]=>[7,1,8,4,6,2,5,3]
[3,5,2,4,8,1,7,6]=>[6,7,1,8,4,2,5,3]
[6,3,8,2,4,1,7,5]=>[5,7,1,4,2,8,3,6]
[4,6,3,8,7,5,2,1]=>[1,2,5,7,8,3,6,4]
[6,3,8,7,5,4,2,1]=>[1,2,4,5,7,8,3,6]
[6,8,4,2,1,7,5,3]=>[3,5,7,1,2,4,8,6]
[5,2,6,4,3,8,1,7]=>[7,1,8,3,4,6,2,5]
[6,5,3,1,4,8,2,7]=>[7,2,8,4,1,3,5,6]
[3,1,7,8,6,4,2,5]=>[5,2,4,6,8,7,1,3]
[3,8,1,7,6,2,5,4]=>[4,5,2,6,7,1,8,3]
[8,1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1,8]
[7,2,6,3,8,5,4,1]=>[1,4,5,8,3,6,2,7]
[7,3,8,6,4,1,5,2]=>[2,5,1,4,6,8,3,7]
[1,7,5,8,2,4,3,6]=>[6,3,4,2,8,5,7,1]
[6,1,5,2,4,8,3,7]=>[7,3,8,4,2,5,1,6]
[1,5,6,3,8,2,4,7]=>[7,4,2,8,3,6,5,1]
[8,7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7,8]
[2,6,7,4,3,8,5,1]=>[1,5,8,3,4,7,6,2]
[5,2,4,7,3,8,6,1]=>[1,6,8,3,7,4,2,5]
[1,5,8,7,2,4,6,3]=>[3,6,4,2,7,8,5,1]
[1,4,8,7,3,6,5,2]=>[2,5,6,3,7,8,4,1]
[8,3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3,8]
[3,7,2,8,1,5,4,6]=>[6,4,5,1,8,2,7,3]
[3,2,6,1,5,8,4,7]=>[7,4,8,5,1,6,2,3]
[7,2,1,5,8,4,3,6]=>[6,3,4,8,5,1,2,7]
[7,2,8,1,4,3,6,5]=>[5,6,3,4,1,8,2,7]
[1,7,8,3,2,6,5,4]=>[4,5,6,2,3,8,7,1]
[1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]
[1,7,5,4,8,3,2,6]=>[6,2,3,8,4,5,7,1]
[6,1,5,4,3,8,2,7]=>[7,2,8,3,4,5,1,6]
[1,7,4,5,6,8,2,3]=>[3,2,8,6,5,4,7,1]
[1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]
[1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]
[1,8,5,2,3,4,6,7]=>[7,6,4,3,2,5,8,1]
[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]
[1,5,8,6,2,3,4,7]=>[7,4,3,2,6,8,5,1]
[1,6,8,5,2,3,4,7]=>[7,4,3,2,5,8,6,1]
[1,6,7,5,2,3,4,8]=>[8,4,3,2,5,7,6,1]
[1,6,5,7,2,3,4,8]=>[8,4,3,2,7,5,6,1]
[1,7,5,6,2,3,4,8]=>[8,4,3,2,6,5,7,1]
[1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]
[1,3,2,7,6,4,5,8]=>[8,5,4,6,7,2,3,1]
[1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]
[1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]
[1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1]
[1,5,4,2,3,8,6,7]=>[7,6,8,3,2,4,5,1]
[1,3,2,8,6,4,5,7]=>[7,5,4,6,8,2,3,1]
[1,8,6,5,2,3,4,7]=>[7,4,3,2,5,6,8,1]
[1,7,5,8,2,3,4,6]=>[6,4,3,2,8,5,7,1]
[1,8,7,5,2,3,4,6]=>[6,4,3,2,5,7,8,1]
[1,7,4,2,8,3,5,6]=>[6,5,3,8,2,4,7,1]
[1,7,8,5,2,3,4,6]=>[6,4,3,2,5,8,7,1]
[2,1,5,8,6,3,7,4]=>[4,7,3,6,8,5,1,2]
[2,5,8,4,6,1,7,3]=>[3,7,1,6,4,8,5,2]
[2,5,3,8,6,1,7,4]=>[4,7,1,6,8,3,5,2]
[2,6,3,5,8,1,7,4]=>[4,7,1,8,5,3,6,2]
[6,3,2,5,8,1,7,4]=>[4,7,1,8,5,2,3,6]
[5,3,2,8,6,1,7,4]=>[4,7,1,6,8,2,3,5]
[5,8,4,6,1,3,7,2]=>[2,7,3,1,6,4,8,5]
[5,3,8,6,1,4,7,2]=>[2,7,4,1,6,8,3,5]
[2,6,5,4,8,1,7,3]=>[3,7,1,8,4,5,6,2]
[8,3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3,8]
[2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]
[2,4,8,1,7,6,5,3]=>[3,5,6,7,1,8,4,2]
[4,3,8,1,5,7,6,2]=>[2,6,7,5,1,8,3,4]
[3,8,4,1,5,7,6,2]=>[2,6,7,5,1,4,8,3]
[4,3,6,8,5,2,7,1]=>[1,7,2,5,8,6,3,4]
[8,5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5,8]
[3,6,8,5,4,2,7,1]=>[1,7,2,4,5,8,6,3]
[3,6,4,8,5,2,7,1]=>[1,7,2,5,8,4,6,3]
[3,6,4,1,8,2,7,5]=>[5,7,2,8,1,4,6,3]
[3,6,4,1,5,2,8,7]=>[7,8,2,5,1,4,6,3]
[4,8,6,5,1,3,7,2]=>[2,7,3,1,5,6,8,4]
[2,8,3,5,6,7,1,4]=>[4,1,7,6,5,3,8,2]
[5,6,2,4,7,1,8,3]=>[3,8,1,7,4,2,6,5]
[2,7,5,4,6,1,8,3]=>[3,8,1,6,4,5,7,2]
[2,3,7,4,6,1,8,5]=>[5,8,1,6,4,7,3,2]
[2,6,7,4,1,3,8,5]=>[5,8,3,1,4,7,6,2]
[6,5,7,4,1,3,8,2]=>[2,8,3,1,4,7,5,6]
[2,4,6,3,5,7,8,1]=>[1,8,7,5,3,6,4,2]
[4,1,6,3,5,7,8,2]=>[2,8,7,5,3,6,1,4]
[3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]
[2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2]
[4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]
[4,6,1,2,5,7,8,3]=>[3,8,7,5,2,1,6,4]
[2,6,4,1,5,7,8,3]=>[3,8,7,5,1,4,6,2]
[2,4,1,6,5,7,8,3]=>[3,8,7,5,6,1,4,2]
[8,6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6,8]
[6,4,7,3,1,8,5,2]=>[2,5,8,1,3,7,4,6]
[6,4,7,5,3,1,8,2]=>[2,8,1,3,5,7,4,6]
[6,4,2,7,5,1,8,3]=>[3,8,1,5,7,2,4,6]
[7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]
[7,5,4,2,6,1,8,3]=>[3,8,1,6,2,4,5,7]
[7,5,4,6,3,1,8,2]=>[2,8,1,3,6,4,5,7]
[4,7,3,1,8,6,5,2]=>[2,5,6,8,1,3,7,4]
[4,8,6,5,3,1,7,2]=>[2,7,1,3,5,6,8,4]
[5,6,4,7,3,1,8,2]=>[2,8,1,3,7,4,6,5]
[5,6,4,2,7,1,8,3]=>[3,8,1,7,2,4,6,5]
[5,3,6,8,2,1,7,4]=>[4,7,1,2,8,6,3,5]
[4,2,7,5,3,1,8,6]=>[6,8,1,3,5,7,2,4]
[4,2,8,6,5,3,1,7]=>[7,1,3,5,6,8,2,4]
[5,4,2,8,6,3,1,7]=>[7,1,3,6,8,2,4,5]
[5,6,3,2,8,4,1,7]=>[7,1,4,8,2,3,6,5]
[5,3,6,4,8,2,1,7]=>[7,1,2,8,4,6,3,5]
[6,8,4,3,2,5,1,7]=>[7,1,5,2,3,4,8,6]
[4,8,3,2,6,5,1,7]=>[7,1,5,6,2,3,8,4]
[7,3,2,5,4,1,8,6]=>[6,8,1,4,5,2,3,7]
[7,3,2,5,1,8,6,4]=>[4,6,8,1,5,2,3,7]
[4,6,3,8,7,2,1,5]=>[5,1,2,7,8,3,6,4]
[4,7,6,3,2,5,1,8]=>[8,1,5,2,3,6,7,4]
[4,7,6,3,8,2,1,5]=>[5,1,2,8,3,6,7,4]
[4,7,3,8,6,2,1,5]=>[5,1,2,6,8,3,7,4]
[5,4,8,7,2,1,6,3]=>[3,6,1,2,7,8,4,5]
[7,5,4,8,2,1,6,3]=>[3,6,1,2,8,4,5,7]
[5,7,3,2,6,1,8,4]=>[4,8,1,6,2,3,7,5]
[5,7,3,2,6,4,1,8]=>[8,1,4,6,2,3,7,5]
[6,4,2,7,1,8,5,3]=>[3,5,8,1,7,2,4,6]
[6,2,7,5,1,8,4,3]=>[3,4,8,1,5,7,2,6]
[2,7,5,1,8,6,4,3]=>[3,4,6,8,1,5,7,2]
[2,7,5,3,1,8,6,4]=>[4,6,8,1,3,5,7,2]
[2,8,6,5,3,1,7,4]=>[4,7,1,3,5,6,8,2]
[3,7,5,4,2,6,1,8]=>[8,1,6,2,4,5,7,3]
[7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]
[5,2,8,7,4,3,1,6]=>[6,1,3,4,7,8,2,5]
[4,2,7,3,1,8,6,5]=>[5,6,8,1,3,7,2,4]
[7,3,2,4,1,8,6,5]=>[5,6,8,1,4,2,3,7]
[5,3,2,8,7,4,1,6]=>[6,1,4,7,8,2,3,5]
[8,4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4,8]
[4,3,7,5,8,2,1,6]=>[6,1,2,8,5,7,3,4]
[4,3,7,5,2,6,1,8]=>[8,1,6,2,5,7,3,4]
[4,5,7,3,2,6,1,8]=>[8,1,6,2,3,7,5,4]
[4,5,7,3,8,2,1,6]=>[6,1,2,8,3,7,5,4]
[8,4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4,8]
[4,3,5,8,7,2,1,6]=>[6,1,2,7,8,5,3,4]
[3,5,4,8,7,2,1,6]=>[6,1,2,7,8,4,5,3]
[3,6,4,8,2,1,7,5]=>[5,7,1,2,8,4,6,3]
[3,4,2,7,1,8,6,5]=>[5,6,8,1,7,2,4,3]
[3,4,2,7,5,1,8,6]=>[6,8,1,5,7,2,4,3]
[3,4,2,8,6,5,1,7]=>[7,1,5,6,8,2,4,3]
[4,3,5,2,8,6,1,7]=>[7,1,6,8,2,5,3,4]
[4,5,3,6,8,2,1,7]=>[7,1,2,8,6,3,5,4]
[1,2,8,6,4,5,7,3]=>[3,7,5,4,6,8,2,1]
[1,8,5,3,4,6,7,2]=>[2,7,6,4,3,5,8,1]
[7,8,4,1,6,3,5,2]=>[2,5,3,6,1,4,8,7]
[8,7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7,8]
[3,2,6,4,1,8,5,7]=>[7,5,8,1,4,6,2,3]
[2,8,6,5,3,1,4,7]=>[7,4,1,3,5,6,8,2]
[5,4,8,6,2,3,1,7]=>[7,1,3,2,6,8,4,5]
[4,8,7,5,2,3,1,6]=>[6,1,3,2,5,7,8,4]
[5,2,4,7,6,8,3,1]=>[1,3,8,6,7,4,2,5]
[2,5,3,7,6,8,4,1]=>[1,4,8,6,7,3,5,2]
[8,6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6,8]
[4,1,2,8,6,5,3,7]=>[7,3,5,6,8,2,1,4]
[8,5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5,8]
[4,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,4]
[3,4,2,8,7,5,1,6]=>[6,1,5,7,8,2,4,3]
[8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]
[6,4,1,8,7,3,2,5]=>[5,2,3,7,8,1,4,6]
[1,8,5,4,2,7,3,6]=>[6,3,7,2,4,5,8,1]
[3,7,1,2,8,5,4,6]=>[6,4,5,8,2,1,7,3]
[7,4,6,8,3,1,5,2]=>[2,5,1,3,8,6,4,7]
[3,7,6,1,5,8,4,2]=>[2,4,8,5,1,6,7,3]
[3,6,5,8,2,7,4,1]=>[1,4,7,2,8,5,6,3]
[8,3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3,8]
[1,7,6,4,8,3,5,2]=>[2,5,3,8,4,6,7,1]
[7,5,8,4,1,3,6,2]=>[2,6,3,1,4,8,5,7]
[7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7]
[6,4,7,1,3,2,8,5]=>[5,8,2,3,1,7,4,6]
[5,1,3,8,7,2,6,4]=>[4,6,2,7,8,3,1,5]
[8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]
[3,8,5,2,4,7,6,1]=>[1,6,7,4,2,5,8,3]
[2,8,7,3,5,1,6,4]=>[4,6,1,5,3,7,8,2]
[8,7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7,8]
[3,1,7,4,8,6,2,5]=>[5,2,6,8,4,7,1,3]
[7,1,5,2,4,8,3,6]=>[6,3,8,4,2,5,1,7]
[3,8,5,1,4,7,2,6]=>[6,2,7,4,1,5,8,3]
[7,2,5,4,1,3,8,6]=>[6,8,3,1,4,5,2,7]
[6,4,1,8,7,2,3,5]=>[5,3,2,7,8,1,4,6]
[8,7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7,8]
[7,3,2,5,8,4,1,6]=>[6,1,4,8,5,2,3,7]
[4,7,2,3,8,1,6,5]=>[5,6,1,8,3,2,7,4]
[8,2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2,8]
[7,5,8,1,6,3,2,4]=>[4,2,3,6,1,8,5,7]
[3,7,2,5,6,4,8,1]=>[1,8,4,6,5,2,7,3]
[6,7,2,4,1,5,8,3]=>[3,8,5,1,4,2,7,6]
[4,2,7,5,1,6,8,3]=>[3,8,6,1,5,7,2,4]
[5,8,1,6,2,3,7,4]=>[4,7,3,2,6,1,8,5]
[5,1,2,8,4,7,6,3]=>[3,6,7,4,8,2,1,5]
[8,2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2,8]
[7,1,4,8,5,6,2,3]=>[3,2,6,5,8,4,1,7]
[8,5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5,8]
[5,2,6,8,4,7,1,3]=>[3,1,7,4,8,6,2,5]
[3,6,5,8,2,7,1,4]=>[4,1,7,2,8,5,6,3]
[7,1,6,3,8,2,5,4]=>[4,5,2,8,3,6,1,7]
[8,1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1,8]
[7,3,8,1,4,6,5,2]=>[2,5,6,4,1,8,3,7]
[7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]
[1,4,5,8,6,3,2,7]=>[7,2,3,6,8,5,4,1]
[8,4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4,8]
[7,4,1,5,6,3,2,8]=>[8,2,3,6,5,1,4,7]
[3,7,4,5,6,2,1,8]=>[8,1,2,6,5,4,7,3]
[4,5,2,6,7,3,1,8]=>[8,1,3,7,6,2,5,4]
[7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]
[8,1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1,8]
[1,8,6,3,5,7,2,4]=>[4,2,7,5,3,6,8,1]
[5,8,6,3,1,7,2,4]=>[4,2,7,1,3,6,8,5]
[4,8,6,3,5,7,2,1]=>[1,2,7,5,3,6,8,4]
[4,7,8,3,2,6,1,5]=>[5,1,6,2,3,8,7,4]
[5,2,8,3,6,1,4,7]=>[7,4,1,6,3,8,2,5]
[2,1,6,5,8,3,4,7]=>[7,4,3,8,5,6,1,2]
[5,2,6,3,1,7,8,4]=>[4,8,7,1,3,6,2,5]
[6,2,5,7,3,4,8,1]=>[1,8,4,3,7,5,2,6]
[7,2,5,6,3,1,8,4]=>[4,8,1,3,6,5,2,7]
[7,4,3,1,5,2,8,6]=>[6,8,2,5,1,3,4,7]
[4,8,6,5,1,7,2,3]=>[3,2,7,1,5,6,8,4]
[4,3,5,1,6,7,8,2]=>[2,8,7,6,1,5,3,4]
[5,1,4,3,6,7,8,2]=>[2,8,7,6,3,4,1,5]
[4,6,5,2,3,7,8,1]=>[1,8,7,3,2,5,6,4]
[5,7,6,1,2,3,8,4]=>[4,8,3,2,1,6,7,5]
[3,6,7,5,1,2,8,4]=>[4,8,2,1,5,7,6,3]
[1,7,6,8,5,2,4,3]=>[3,4,2,5,8,6,7,1]
[5,7,6,8,1,2,4,3]=>[3,4,2,1,8,6,7,5]
[6,1,2,7,5,4,8,3]=>[3,8,4,5,7,2,1,6]
[7,5,4,2,8,6,3,1]=>[1,3,6,8,2,4,5,7]
[3,1,5,8,7,6,4,2]=>[2,4,6,7,8,5,1,3]
[3,4,6,1,5,2,8,7]=>[7,8,2,5,1,6,4,3]
[5,6,3,7,1,4,8,2]=>[2,8,4,1,7,3,6,5]
[3,1,2,5,8,6,4,7]=>[7,4,6,8,5,2,1,3]
[5,3,2,1,8,6,4,7]=>[7,4,6,8,1,2,3,5]
[3,8,7,4,5,1,2,6]=>[6,2,1,5,4,7,8,3]
[7,5,1,4,2,3,8,6]=>[6,8,3,2,4,1,5,7]
[2,6,3,4,1,7,8,5]=>[5,8,7,1,4,3,6,2]
[1,6,3,4,2,7,8,5]=>[5,8,7,2,4,3,6,1]
[3,8,6,4,5,7,2,1]=>[1,2,7,5,4,6,8,3]
[7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]
[7,5,1,4,6,2,8,3]=>[3,8,2,6,4,1,5,7]
[7,5,8,1,4,6,2,3]=>[3,2,6,4,1,8,5,7]
[7,5,1,3,6,8,2,4]=>[4,2,8,6,3,1,5,7]
[6,5,3,1,7,8,2,4]=>[4,2,8,7,1,3,5,6]
[6,5,8,4,1,7,2,3]=>[3,2,7,1,4,8,5,6]
[1,8,5,4,7,6,2,3]=>[3,2,6,7,4,5,8,1]
[1,8,5,4,6,7,2,3]=>[3,2,7,6,4,5,8,1]
[6,4,3,7,8,2,1,5]=>[5,1,2,8,7,3,4,6]
[6,5,8,3,7,2,1,4]=>[4,1,2,7,3,8,5,6]
[6,5,3,7,2,1,8,4]=>[4,8,1,2,7,3,5,6]
[7,8,5,3,6,2,1,4]=>[4,1,2,6,3,5,8,7]
[7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]
[6,4,8,3,2,7,5,1]=>[1,5,7,2,3,8,4,6]
[7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]
[1,8,4,3,2,6,5,7]=>[7,5,6,2,3,4,8,1]
[1,8,4,3,2,6,7,5]=>[5,7,6,2,3,4,8,1]
[7,8,4,3,2,6,1,5]=>[5,1,6,2,3,4,8,7]
[5,4,3,8,2,1,7,6]=>[6,7,1,2,8,3,4,5]
[6,4,8,3,2,1,7,5]=>[5,7,1,2,3,8,4,6]
[1,8,4,3,2,7,6,5]=>[5,6,7,2,3,4,8,1]
[6,5,3,1,2,8,7,4]=>[4,7,8,2,1,3,5,6]
[6,5,8,3,1,2,7,4]=>[4,7,2,1,3,8,5,6]
[7,5,8,1,3,2,6,4]=>[4,6,2,3,1,8,5,7]
[7,6,1,3,2,8,5,4]=>[4,5,8,2,3,1,6,7]
[1,8,6,7,3,2,5,4]=>[4,5,2,3,7,6,8,1]
[1,8,6,7,3,2,4,5]=>[5,4,2,3,7,6,8,1]
[7,6,1,3,2,8,4,5]=>[5,4,8,2,3,1,6,7]
[7,8,6,1,3,2,4,5]=>[5,4,2,3,1,6,8,7]
[6,5,8,3,1,2,4,7]=>[7,4,2,1,3,8,5,6]
[1,8,4,3,2,7,5,6]=>[6,5,7,2,3,4,8,1]
[5,4,3,8,2,1,6,7]=>[7,6,1,2,8,3,4,5]
[5,4,3,8,2,6,1,7]=>[7,1,6,2,8,3,4,5]
[6,4,8,3,2,5,1,7]=>[7,1,5,2,3,8,4,6]
[1,8,4,3,2,5,7,6]=>[6,7,5,2,3,4,8,1]
[6,4,8,3,2,5,7,1]=>[1,7,5,2,3,8,4,6]
[5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]
[6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]
[5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]
[5,2,3,8,6,4,7,1]=>[1,7,4,6,8,3,2,5]
[5,2,3,7,4,8,1,6]=>[6,1,8,4,7,3,2,5]
[8,6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6,8]
[7,2,3,4,5,8,1,6]=>[6,1,8,5,4,3,2,7]
[7,2,8,1,5,3,4,6]=>[6,4,3,5,1,8,2,7]
[3,8,6,4,7,2,5,1]=>[1,5,2,7,4,6,8,3]
[2,1,8,6,4,5,7,3]=>[3,7,5,4,6,8,1,2]
[4,8,2,5,7,3,1,6]=>[6,1,3,7,5,2,8,4]
[5,8,2,3,4,7,1,6]=>[6,1,7,4,3,2,8,5]
[6,3,4,7,8,2,1,5]=>[5,1,2,8,7,4,3,6]
[3,8,5,1,4,7,6,2]=>[2,6,7,4,1,5,8,3]
[4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]
[4,6,8,5,2,7,3,1]=>[1,3,7,2,5,8,6,4]
[3,7,8,5,2,6,4,1]=>[1,4,6,2,5,8,7,3]
[3,8,6,2,7,4,5,1]=>[1,5,4,7,2,6,8,3]
[8,5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5,8]
[7,3,6,2,8,1,5,4]=>[4,5,1,8,2,6,3,7]
[8,1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1,8]
[6,4,2,3,7,8,5,1]=>[1,5,8,7,3,2,4,6]
[8,4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4,8]
[4,5,8,3,7,2,1,6]=>[6,1,2,7,3,8,5,4]
[3,7,2,8,4,5,1,6]=>[6,1,5,4,8,2,7,3]
[3,5,1,8,4,6,2,7]=>[7,2,6,4,8,1,5,3]
[4,2,1,5,6,8,3,7]=>[7,3,8,6,5,1,2,4]
[4,1,2,6,5,8,3,7]=>[7,3,8,5,6,2,1,4]
[4,1,8,3,2,6,7,5]=>[5,7,6,2,3,8,1,4]
[4,2,7,5,8,1,3,6]=>[6,3,1,8,5,7,2,4]
[4,6,2,7,8,3,1,5]=>[5,1,3,8,7,2,6,4]
[4,6,1,3,8,2,5,7]=>[7,5,2,8,3,1,6,4]
[4,3,6,2,1,8,7,5]=>[5,7,8,1,2,6,3,4]
[3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]
[3,6,4,5,8,2,1,7]=>[7,1,2,8,5,4,6,3]
[6,1,4,5,2,8,7,3]=>[3,7,8,2,5,4,1,6]
[7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]
[7,5,4,1,6,3,2,8]=>[8,2,3,6,1,4,5,7]
[1,5,4,8,6,3,2,7]=>[7,2,3,6,8,4,5,1]
[7,5,4,8,6,3,1,2]=>[2,1,3,6,8,4,5,7]
[1,8,7,5,3,6,4,2]=>[2,4,6,3,5,7,8,1]
[8,3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3,8]
[8,5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5,8]
[1,7,4,2,6,5,3,8]=>[8,3,5,6,2,4,7,1]
[8,2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2,8]
[6,3,1,8,4,7,2,5]=>[5,2,7,4,8,1,3,6]
[7,1,4,8,6,3,2,5]=>[5,2,3,6,8,4,1,7]
[4,1,8,5,6,7,2,3]=>[3,2,7,6,5,8,1,4]
[5,7,4,8,6,2,1,3]=>[3,1,2,6,8,4,7,5]
[5,3,6,8,2,7,1,4]=>[4,1,7,2,8,6,3,5]
[6,3,7,4,8,2,1,5]=>[5,1,2,8,4,7,3,6]
[5,3,6,1,4,7,2,8]=>[8,2,7,4,1,6,3,5]
[4,3,6,8,2,7,1,5]=>[5,1,7,2,8,6,3,4]
[5,3,7,4,8,2,1,6]=>[6,1,2,8,4,7,3,5]
[5,3,8,4,1,6,2,7]=>[7,2,6,1,4,8,3,5]
[5,3,8,1,4,7,2,6]=>[6,2,7,4,1,8,3,5]
[5,8,4,1,6,3,2,7]=>[7,2,3,6,1,4,8,5]
[7,3,8,4,1,6,2,5]=>[5,2,6,1,4,8,3,7]
[1,5,8,3,6,7,4,2]=>[2,4,7,6,3,8,5,1]
[1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]
[7,8,4,1,6,5,2,3]=>[3,2,5,6,1,4,8,7]
[6,3,8,1,5,7,2,4]=>[4,2,7,5,1,8,3,6]
[8,3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3,8]
[8,1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1,8]
[5,1,3,7,4,8,2,6]=>[6,2,8,4,7,3,1,5]
[5,1,3,4,7,8,2,6]=>[6,2,8,7,4,3,1,5]
[2,5,8,7,4,3,6,1]=>[1,6,3,4,7,8,5,2]
[5,4,1,8,3,2,7,6]=>[6,7,2,3,8,1,4,5]
[5,1,4,3,8,7,2,6]=>[6,2,7,8,3,4,1,5]
[5,1,7,8,3,4,2,6]=>[6,2,4,3,8,7,1,5]
[5,4,1,3,8,2,7,6]=>[6,7,2,8,3,1,4,5]
[2,5,4,8,3,7,6,1]=>[1,6,7,3,8,4,5,2]
[5,2,1,4,8,3,6,7]=>[7,6,3,8,4,1,2,5]
[5,2,1,8,4,3,6,7]=>[7,6,3,4,8,1,2,5]
[5,8,1,2,3,6,4,7]=>[7,4,6,3,2,1,8,5]
[5,6,8,2,3,4,1,7]=>[7,1,4,3,2,8,6,5]
[2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]
[4,5,2,3,8,6,1,7]=>[7,1,6,8,3,2,5,4]
[4,5,2,8,3,6,1,7]=>[7,1,6,3,8,2,5,4]
[3,7,4,5,8,1,2,6]=>[6,2,1,8,5,4,7,3]
[3,7,8,1,4,5,2,6]=>[6,2,5,4,1,8,7,3]
[4,8,7,1,5,3,2,6]=>[6,2,3,5,1,7,8,4]
[5,8,2,1,6,3,4,7]=>[7,4,3,6,1,2,8,5]
[3,7,1,8,5,4,2,6]=>[6,2,4,5,8,1,7,3]
[4,8,1,3,7,5,2,6]=>[6,2,5,7,3,1,8,4]
[5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]
[2,5,3,8,4,6,7,1]=>[1,7,6,4,8,3,5,2]
[2,4,7,8,5,3,6,1]=>[1,6,3,5,8,7,4,2]
[4,8,3,1,5,7,2,6]=>[6,2,7,5,1,3,8,4]
[5,3,1,4,7,2,8,6]=>[6,8,2,7,4,1,3,5]
[5,3,1,7,4,2,8,6]=>[6,8,2,4,7,1,3,5]
[4,3,8,5,1,2,7,6]=>[6,7,2,1,5,8,3,4]
[2,4,7,5,8,3,6,1]=>[1,6,3,8,5,7,4,2]
[4,3,5,8,2,1,7,6]=>[6,7,1,2,8,5,3,4]
[4,8,5,3,7,1,2,6]=>[6,2,1,7,3,5,8,4]
[4,8,5,7,3,1,2,6]=>[6,2,1,3,7,5,8,4]
[4,8,7,5,1,3,2,6]=>[6,2,3,1,5,7,8,4]
[4,2,8,5,1,3,6,7]=>[7,6,3,1,5,8,2,4]
[3,7,8,4,1,5,2,6]=>[6,2,5,1,4,8,7,3]
[3,4,7,5,8,2,1,6]=>[6,1,2,8,5,7,4,3]
[3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]
[1,3,6,8,7,2,4,5]=>[5,4,2,7,8,6,3,1]
[1,5,4,8,7,2,3,6]=>[6,3,2,7,8,4,5,1]
[1,6,3,8,2,5,4,7]=>[7,4,5,2,8,3,6,1]
[1,8,5,7,2,4,3,6]=>[6,3,4,2,7,5,8,1]
[1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]
[1,3,6,8,5,4,2,7]=>[7,2,4,5,8,6,3,1]
[1,6,3,8,4,5,2,7]=>[7,2,5,4,8,3,6,1]
[1,8,2,6,4,5,3,7]=>[7,3,5,4,6,2,8,1]
[1,5,2,7,4,8,3,6]=>[6,3,8,4,7,2,5,1]
[1,6,3,8,2,7,4,5]=>[5,4,7,2,8,3,6,1]
[1,4,2,7,5,8,3,6]=>[6,3,8,5,7,2,4,1]
[1,8,2,3,6,7,5,4]=>[4,5,7,6,3,2,8,1]
[1,3,6,8,2,7,5,4]=>[4,5,7,2,8,6,3,1]
[1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]
[1,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,1]
[1,8,3,6,2,4,5,7]=>[7,5,4,2,6,3,8,1]
[1,8,3,6,2,5,4,7]=>[7,4,5,2,6,3,8,1]
[1,5,4,8,3,6,2,7]=>[7,2,6,3,8,4,5,1]
[1,4,5,8,3,6,2,7]=>[7,2,6,3,8,5,4,1]
[1,3,6,8,4,5,2,7]=>[7,2,5,4,8,6,3,1]
[1,2,7,8,4,5,3,6]=>[6,3,5,4,8,7,2,1]
[7,2,8,4,3,6,5,1]=>[1,5,6,3,4,8,2,7]
[7,2,8,5,6,3,4,1]=>[1,4,3,6,5,8,2,7]
[7,6,3,8,5,4,2,1]=>[1,2,4,5,8,3,6,7]
[6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]
[6,2,8,4,3,7,1,5]=>[5,1,7,3,4,8,2,6]
[5,2,8,4,3,1,7,6]=>[6,7,1,3,4,8,2,5]
[1,4,7,3,2,6,8,5]=>[5,8,6,2,3,7,4,1]
[1,5,7,3,6,2,8,4]=>[4,8,2,6,3,7,5,1]
[3,6,2,7,1,5,4,8]=>[8,4,5,1,7,2,6,3]
[1,2,5,4,8,3,7,6]=>[6,7,3,8,4,5,2,1]
[1,4,3,5,8,2,7,6]=>[6,7,2,8,5,3,4,1]
[1,4,3,6,8,7,2,5]=>[5,2,7,8,6,3,4,1]
[1,5,3,7,6,8,2,4]=>[4,2,8,6,7,3,5,1]
[1,6,4,5,7,8,2,3]=>[3,2,8,7,5,4,6,1]
[4,2,6,5,7,8,1,3]=>[3,1,8,7,5,6,2,4]
[3,2,5,7,6,8,1,4]=>[4,1,8,6,7,5,2,3]
[3,2,4,6,8,7,1,5]=>[5,1,7,8,6,4,2,3]
[6,3,2,7,4,8,5,1]=>[1,5,8,4,7,2,3,6]
[5,3,2,6,8,4,7,1]=>[1,7,4,8,6,2,3,5]
[4,1,8,7,5,2,6,3]=>[3,6,2,5,7,8,1,4]
[3,1,8,6,4,7,2,5]=>[5,2,7,4,6,8,1,3]
[3,1,6,8,5,4,2,7]=>[7,2,4,5,8,6,1,3]
[5,3,2,8,7,6,4,1]=>[1,4,6,7,8,2,3,5]
[2,4,8,1,7,6,3,5]=>[5,3,6,7,1,8,4,2]
[3,8,1,7,6,5,2,4]=>[4,2,5,6,7,1,8,3]
[4,6,1,5,7,3,2,8]=>[8,2,3,7,5,1,6,4]
[4,8,1,5,3,6,2,7]=>[7,2,6,3,5,1,8,4]
[5,8,1,6,4,2,7,3]=>[3,7,2,4,6,1,8,5]
[6,5,2,7,3,8,1,4]=>[4,1,8,3,7,2,5,6]
[5,4,2,6,7,3,1,8]=>[8,1,3,7,6,2,4,5]
[5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]
[5,3,8,2,7,6,1,4]=>[4,1,6,7,2,8,3,5]
[6,5,4,8,3,7,2,1]=>[1,2,7,3,8,4,5,6]
[6,3,5,7,2,4,1,8]=>[8,1,4,2,7,5,3,6]
[4,8,5,1,3,7,2,6]=>[6,2,7,3,1,5,8,4]
[2,6,8,5,1,4,3,7]=>[7,3,4,1,5,8,6,2]
[4,3,8,7,2,6,5,1]=>[1,5,6,2,7,8,3,4]
[4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]
[2,6,5,8,1,4,7,3]=>[3,7,4,1,8,5,6,2]
[2,7,5,1,8,4,6,3]=>[3,6,4,8,1,5,7,2]
[7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]
[8,4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4,8]
[7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]
[6,7,3,2,8,1,5,4]=>[4,5,1,8,2,3,7,6]
[7,6,4,8,1,2,5,3]=>[3,5,2,1,8,4,6,7]
[7,5,4,8,3,2,6,1]=>[1,6,2,3,8,4,5,7]
[7,8,4,3,1,6,2,5]=>[5,2,6,1,3,4,8,7]
[8,7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7,8]
[8,6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6,8]
[3,8,5,6,2,7,1,4]=>[4,1,7,2,6,5,8,3]
[2,4,5,8,7,3,1,6]=>[6,1,3,7,8,5,4,2]
[2,4,5,8,6,7,1,3]=>[3,1,7,6,8,5,4,2]
[4,3,1,5,6,2,8,7]=>[7,8,2,6,5,1,3,4]
[4,1,5,8,6,7,2,3]=>[3,2,7,6,8,5,1,4]
[4,3,7,6,1,2,8,5]=>[5,8,2,1,6,7,3,4]
[4,7,5,6,1,2,8,3]=>[3,8,2,1,6,5,7,4]
[4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]
[4,5,1,8,6,7,3,2]=>[2,3,7,6,8,1,5,4]
[3,4,5,8,6,7,2,1]=>[1,2,7,6,8,5,4,3]
[2,1,5,8,6,7,4,3]=>[3,4,7,6,8,5,1,2]
[3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3]
[4,7,1,5,6,2,8,3]=>[3,8,2,6,5,1,7,4]
[2,6,4,7,1,3,8,5]=>[5,8,3,1,7,4,6,2]
[5,3,8,6,4,7,2,1]=>[1,2,7,4,6,8,3,5]
[6,4,1,5,7,8,3,2]=>[2,3,8,7,5,1,4,6]
[3,6,4,7,2,1,8,5]=>[5,8,1,2,7,4,6,3]
[3,8,4,6,1,7,2,5]=>[5,2,7,1,6,4,8,3]
[3,8,5,6,4,7,2,1]=>[1,2,7,4,6,5,8,3]
[3,8,4,5,6,7,2,1]=>[1,2,7,6,5,4,8,3]
[3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3]
[3,8,7,5,2,1,4,6]=>[6,4,1,2,5,7,8,3]
[3,8,6,5,1,7,2,4]=>[4,2,7,1,5,6,8,3]
[6,4,1,7,3,2,8,5]=>[5,8,2,3,7,1,4,6]
[5,1,4,6,7,2,8,3]=>[3,8,2,7,6,4,1,5]
[6,5,4,7,1,3,8,2]=>[2,8,3,1,7,4,5,6]
[2,1,6,5,3,7,8,4]=>[4,8,7,3,5,6,1,2]
[6,1,4,7,2,3,8,5]=>[5,8,3,2,7,4,1,6]
[1,6,2,5,4,8,3,7]=>[7,3,8,4,5,2,6,1]
[4,1,2,7,5,8,3,6]=>[6,3,8,5,7,2,1,4]
[6,1,3,5,8,2,4,7]=>[7,4,2,8,5,3,1,6]
[5,6,4,3,1,8,2,7]=>[7,2,8,1,3,4,6,5]
[6,2,3,5,8,1,4,7]=>[7,4,1,8,5,3,2,6]
[6,7,2,3,8,4,5,1]=>[1,5,4,8,3,2,7,6]
[6,7,2,1,3,8,4,5]=>[5,4,8,3,1,2,7,6]
[5,7,4,1,8,3,2,6]=>[6,2,3,8,1,4,7,5]
[4,1,7,5,8,3,6,2]=>[2,6,3,8,5,7,1,4]
[6,7,1,3,8,4,5,2]=>[2,5,4,8,3,1,7,6]
[1,6,7,4,3,8,5,2]=>[2,5,8,3,4,7,6,1]
[6,1,7,4,2,8,5,3]=>[3,5,8,2,4,7,1,6]
[2,1,6,7,4,3,8,5]=>[5,8,3,4,7,6,1,2]
[6,7,3,2,1,8,4,5]=>[5,4,8,1,2,3,7,6]
[2,5,7,3,1,4,8,6]=>[6,8,4,1,3,7,5,2]
[6,7,3,2,8,4,5,1]=>[1,5,4,8,2,3,7,6]
[1,2,6,7,4,3,8,5]=>[5,8,3,4,7,6,2,1]
[2,7,1,8,4,6,3,5]=>[5,3,6,4,8,1,7,2]
[2,7,5,8,1,6,3,4]=>[4,3,6,1,8,5,7,2]
[6,7,1,8,4,5,3,2]=>[2,3,5,4,8,1,7,6]
[8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8]
[8,7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7,8]
[8,2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2,8]
[8,2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2,8]
[8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]
[8,7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7,8]
[8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]
[8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]
[8,4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4,8]
[8,3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3,8]
[8,7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7,8]
[8,7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7,8]
[8,7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7,8]
[8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]
[8,4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4,8]
[8,5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5,8]
[8,5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5,8]
[8,4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4,8]
[8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]
[8,4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4,8]
[8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]
[8,5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5,8]
[8,5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5,8]
[8,6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6,8]
[8,6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6,8]
[8,5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5,8]
[8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]
[8,5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5,8]
[8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]
[2,4,5,8,3,1,6,7]=>[7,6,1,3,8,5,4,2]
[2,7,4,6,1,5,8,3]=>[3,8,5,1,6,4,7,2]
[2,6,3,7,1,8,5,4]=>[4,5,8,1,7,3,6,2]
[2,5,3,4,8,1,6,7]=>[7,6,1,8,4,3,5,2]
[2,4,3,8,5,1,6,7]=>[7,6,1,5,8,3,4,2]
[2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]
[6,8,2,4,5,3,1,7]=>[7,1,3,5,4,2,8,6]
[8,7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7,8]
[7,8,3,2,5,4,6,1]=>[1,6,4,5,2,3,8,7]
[7,2,8,3,5,4,6,1]=>[1,6,4,5,3,8,2,7]
[6,2,5,4,8,3,1,7]=>[7,1,3,8,4,5,2,6]
[5,2,6,7,3,8,1,4]=>[4,1,8,3,7,6,2,5]
[5,4,7,6,3,1,8,2]=>[2,8,1,3,6,7,4,5]
[1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]
[1,6,5,4,8,3,2,7]=>[7,2,3,8,4,5,6,1]
[1,6,4,8,5,3,2,7]=>[7,2,3,5,8,4,6,1]
[8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]
[1,7,3,5,8,4,6,2]=>[2,6,4,8,5,3,7,1]
[6,3,1,7,4,5,8,2]=>[2,8,5,4,7,1,3,6]
[7,2,1,6,4,8,5,3]=>[3,5,8,4,6,1,2,7]
[7,2,3,5,8,4,6,1]=>[1,6,4,8,5,3,2,7]
[4,8,3,1,2,5,6,7]=>[7,6,5,2,1,3,8,4]
[4,8,1,3,2,5,6,7]=>[7,6,5,2,3,1,8,4]
[6,5,4,8,2,3,1,7]=>[7,1,3,2,8,4,5,6]
[7,5,8,3,2,4,6,1]=>[1,6,4,2,3,8,5,7]
[8,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,8]
[8,7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7,8]
[7,1,8,3,4,6,5,2]=>[2,5,6,4,3,8,1,7]
[4,1,5,3,8,6,2,7]=>[7,2,6,8,3,5,1,4]
[3,8,7,2,4,6,5,1]=>[1,5,6,4,2,7,8,3]
[4,6,5,1,8,3,2,7]=>[7,2,3,8,1,5,6,4]
[6,5,7,1,3,2,8,4]=>[4,8,2,3,1,7,5,6]
[2,7,3,6,4,8,5,1]=>[1,5,8,4,6,3,7,2]
[3,7,1,5,8,4,6,2]=>[2,6,4,8,5,1,7,3]
[3,8,4,1,2,5,6,7]=>[7,6,5,2,1,4,8,3]
[3,8,1,4,2,5,6,7]=>[7,6,5,2,4,1,8,3]
[2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]
[3,2,7,6,4,8,5,1]=>[1,5,8,4,6,7,2,3]
[3,1,6,7,4,5,8,2]=>[2,8,5,4,7,6,1,3]
[1,3,7,6,4,8,5,2]=>[2,5,8,4,6,7,3,1]
[1,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,1]
[3,1,8,7,6,4,2,5]=>[5,2,4,6,7,8,1,3]
[3,1,8,7,5,4,2,6]=>[6,2,4,5,7,8,1,3]
[3,1,7,6,5,4,2,8]=>[8,2,4,5,6,7,1,3]
[4,7,1,6,5,3,2,8]=>[8,2,3,5,6,1,7,4]
[4,8,1,6,5,3,2,7]=>[7,2,3,5,6,1,8,4]
[8,4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4,8]
[5,4,1,8,6,3,2,7]=>[7,2,3,6,8,1,4,5]
[5,4,1,7,6,3,2,8]=>[8,2,3,6,7,1,4,5]
[6,4,1,8,5,3,2,7]=>[7,2,3,5,8,1,4,6]
[8,4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4,8]
[7,4,1,6,5,3,2,8]=>[8,2,3,5,6,1,4,7]
[7,5,6,1,4,3,2,8]=>[8,2,3,4,1,6,5,7]
[8,5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5,8]
[8,5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5,8]
[5,7,6,1,4,3,2,8]=>[8,2,3,4,1,6,7,5]
[5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]
[6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]
[8,7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7,8]
[8,6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6,8]
[3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]
[3,1,6,7,8,5,4,2]=>[2,4,5,8,7,6,1,3]
[8,6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6,8]
[1,8,6,3,4,2,5,7]=>[7,5,2,4,3,6,8,1]
[3,1,6,4,5,8,7,2]=>[2,7,8,5,4,6,1,3]
[3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]
[3,1,6,7,8,5,2,4]=>[4,2,5,8,7,6,1,3]
[3,1,6,4,5,8,2,7]=>[7,2,8,5,4,6,1,3]
[3,1,6,4,5,7,2,8]=>[8,2,7,5,4,6,1,3]
[3,1,6,4,5,7,8,2]=>[2,8,7,5,4,6,1,3]
[8,1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1,8]
[1,8,6,3,4,2,7,5]=>[5,7,2,4,3,6,8,1]
[4,6,7,3,2,1,8,5]=>[5,8,1,2,3,7,6,4]
[4,6,8,7,2,5,1,3]=>[3,1,5,2,7,8,6,4]
[4,6,8,3,5,2,1,7]=>[7,1,2,5,3,8,6,4]
[5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]
[6,2,3,7,5,1,8,4]=>[4,8,1,5,7,3,2,6]
[6,2,3,1,7,5,8,4]=>[4,8,5,7,1,3,2,6]
[7,6,3,1,4,8,5,2]=>[2,5,8,4,1,3,6,7]
[6,1,7,3,5,2,8,4]=>[4,8,2,5,3,7,1,6]
[7,1,6,3,4,5,2,8]=>[8,2,5,4,3,6,1,7]
[7,1,6,3,4,5,8,2]=>[2,8,5,4,3,6,1,7]
[8,6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6,8]
[7,6,3,8,4,5,2,1]=>[1,2,5,4,8,3,6,7]
[6,2,7,8,5,4,3,1]=>[1,3,4,5,8,7,2,6]
[6,8,1,7,4,5,3,2]=>[2,3,5,4,7,1,8,6]
[5,2,1,4,7,6,8,3]=>[3,8,6,7,4,1,2,5]
[5,2,1,4,7,3,8,6]=>[6,8,3,7,4,1,2,5]
[4,2,5,1,7,6,3,8]=>[8,3,6,7,1,5,2,4]
[8,2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2,8]
[5,2,7,8,1,4,3,6]=>[6,3,4,1,8,7,2,5]
[5,2,7,6,8,4,3,1]=>[1,3,4,8,6,7,2,5]
[5,6,3,8,4,1,2,7]=>[7,2,1,4,8,3,6,5]
[4,6,7,3,5,1,8,2]=>[2,8,1,5,3,7,6,4]
[4,6,7,3,5,1,2,8]=>[8,2,1,5,3,7,6,4]
[4,7,6,3,1,2,8,5]=>[5,8,2,1,3,6,7,4]
[7,2,3,6,1,5,8,4]=>[4,8,5,1,6,3,2,7]
[8,2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2,8]
[5,2,3,4,7,1,6,8]=>[8,6,1,7,4,3,2,5]
[5,2,3,4,8,1,7,6]=>[6,7,1,8,4,3,2,5]
[5,2,3,7,1,6,8,4]=>[4,8,6,1,7,3,2,5]
[5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]
[8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]
[3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]
[1,4,7,8,5,2,3,6]=>[6,3,2,5,8,7,4,1]
[3,2,6,7,4,1,5,8]=>[8,5,1,4,7,6,2,3]
[6,7,3,5,1,8,4,2]=>[2,4,8,1,5,3,7,6]
[7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]
[4,6,3,2,5,8,1,7]=>[7,1,8,5,2,3,6,4]
[2,6,8,7,4,1,3,5]=>[5,3,1,4,7,8,6,2]
[5,8,3,7,6,4,1,2]=>[2,1,4,6,7,3,8,5]
[6,5,1,7,2,4,8,3]=>[3,8,4,2,7,1,5,6]
[3,6,7,1,4,2,5,8]=>[8,5,2,4,1,7,6,3]
[4,7,5,8,2,1,3,6]=>[6,3,1,2,8,5,7,4]
[6,1,5,2,7,4,3,8]=>[8,3,4,7,2,5,1,6]
[8,1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1,8]
[6,5,1,8,3,7,2,4]=>[4,2,7,3,8,1,5,6]
[8,1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1,8]
[1,8,3,6,5,4,2,7]=>[7,2,4,5,6,3,8,1]
[7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]
[4,6,5,2,8,1,3,7]=>[7,3,1,8,2,5,6,4]
[5,3,1,7,4,6,2,8]=>[8,2,6,4,7,1,3,5]
[1,8,7,5,3,2,6,4]=>[4,6,2,3,5,7,8,1]
[5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]
[4,7,6,2,5,1,3,8]=>[8,3,1,5,2,6,7,4]
[4,7,3,1,5,6,8,2]=>[2,8,6,5,1,3,7,4]
[7,8,1,5,4,2,3,6]=>[6,3,2,4,5,1,8,7]
[2,1,8,4,5,6,3,7]=>[7,3,6,5,4,8,1,2]
[2,7,5,1,4,6,3,8]=>[8,3,6,4,1,5,7,2]
[7,2,1,4,5,3,8,6]=>[6,8,3,5,4,1,2,7]
[3,4,6,8,1,5,7,2]=>[2,7,5,1,8,6,4,3]
[4,2,5,6,1,3,7,8]=>[8,7,3,1,6,5,2,4]
[5,7,6,1,4,3,8,2]=>[2,8,3,4,1,6,7,5]
[6,8,1,7,5,4,2,3]=>[3,2,4,5,7,1,8,6]
[7,6,3,1,2,8,5,4]=>[4,5,8,2,1,3,6,7]
[5,6,7,1,4,2,8,3]=>[3,8,2,4,1,7,6,5]
[6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]
[5,2,6,7,4,8,1,3]=>[3,1,8,4,7,6,2,5]
[6,7,5,2,4,1,3,8]=>[8,3,1,4,2,5,7,6]
[5,7,6,1,3,4,8,2]=>[2,8,4,3,1,6,7,5]
[7,5,6,4,8,1,3,2]=>[2,3,1,8,4,6,5,7]
[1,7,5,2,6,4,8,3]=>[3,8,4,6,2,5,7,1]
[7,1,3,6,8,2,4,5]=>[5,4,2,8,6,3,1,7]
[1,2,5,7,8,4,6,3]=>[3,6,4,8,7,5,2,1]
[3,1,2,7,5,4,8,6]=>[6,8,4,5,7,2,1,3]
[6,7,4,1,3,2,8,5]=>[5,8,2,3,1,4,7,6]
[1,7,2,8,4,3,5,6]=>[6,5,3,4,8,2,7,1]
[1,6,3,5,7,8,2,4]=>[4,2,8,7,5,3,6,1]
[8,6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6,8]
[7,6,4,1,8,3,2,5]=>[5,2,3,8,1,4,6,7]
[8,4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4,8]
[1,5,3,4,7,8,2,6]=>[6,2,8,7,4,3,5,1]
[4,2,1,5,7,8,3,6]=>[6,3,8,7,5,1,2,4]
[5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5]
[5,1,4,6,7,8,2,3]=>[3,2,8,7,6,4,1,5]
[4,1,5,3,7,8,2,6]=>[6,2,8,7,3,5,1,4]
[8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]
[7,1,5,4,6,3,2,8]=>[8,2,3,6,4,5,1,7]
[8,2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2,8]
[1,2,4,7,6,3,8,5]=>[5,8,3,6,7,4,2,1]
[6,7,4,1,8,5,2,3]=>[3,2,5,8,1,4,7,6]
[8,6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6,8]
[5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]
[6,1,5,4,8,3,2,7]=>[7,2,3,8,4,5,1,6]
[1,2,8,7,4,3,6,5]=>[5,6,3,4,7,8,2,1]
[3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]
[1,3,6,4,7,8,2,5]=>[5,2,8,7,4,6,3,1]
[4,5,1,3,7,8,2,6]=>[6,2,8,7,3,1,5,4]
[5,2,3,1,7,8,4,6]=>[6,4,8,7,1,3,2,5]
[1,6,4,3,7,8,2,5]=>[5,2,8,7,3,4,6,1]
[7,6,4,3,1,5,2,8]=>[8,2,5,1,3,4,6,7]
[7,5,4,6,1,3,2,8]=>[8,2,3,1,6,4,5,7]
[8,4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4,8]
[1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]
[6,8,3,5,7,2,4,1]=>[1,4,2,7,5,3,8,6]
[1,5,2,4,3,8,7,6]=>[6,7,8,3,4,2,5,1]
[8,6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6,8]
[8,5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5,8]
[1,6,3,8,4,5,7,2]=>[2,7,5,4,8,3,6,1]
[7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]
[7,1,4,3,2,8,6,5]=>[5,6,8,2,3,4,1,7]
[2,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,2]
[3,7,2,8,6,4,5,1]=>[1,5,4,6,8,2,7,3]
[3,7,2,4,8,5,6,1]=>[1,6,5,8,4,2,7,3]
[3,7,4,6,2,5,8,1]=>[1,8,5,2,6,4,7,3]
[6,2,7,3,1,8,4,5]=>[5,4,8,1,3,7,2,6]
[6,3,7,5,8,2,4,1]=>[1,4,2,8,5,7,3,6]
[4,3,7,8,6,2,5,1]=>[1,5,2,6,8,7,3,4]
[3,8,1,7,5,2,4,6]=>[6,4,2,5,7,1,8,3]
[8,2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2,8]
[2,4,7,8,6,1,5,3]=>[3,5,1,6,8,7,4,2]
[2,6,7,3,8,5,1,4]=>[4,1,5,8,3,7,6,2]
[2,4,8,5,1,7,3,6]=>[6,3,7,1,5,8,4,2]
[2,8,3,5,1,6,4,7]=>[7,4,6,1,5,3,8,2]
[8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]
[8,2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2,8]
[2,8,3,5,1,4,6,7]=>[7,6,4,1,5,3,8,2]
[3,4,6,2,5,7,8,1]=>[1,8,7,5,2,6,4,3]
[4,5,2,6,1,7,8,3]=>[3,8,7,1,6,2,5,4]
[3,6,5,7,8,1,2,4]=>[4,2,1,8,7,5,6,3]
[4,5,3,8,2,1,7,6]=>[6,7,1,2,8,3,5,4]
[4,8,3,2,5,1,6,7]=>[7,6,1,5,2,3,8,4]
[2,5,4,8,3,7,1,6]=>[6,1,7,3,8,4,5,2]
[5,8,3,1,7,4,2,6]=>[6,2,4,7,1,3,8,5]
[5,4,8,6,1,3,2,7]=>[7,2,3,1,6,8,4,5]
[4,7,5,2,6,8,3,1]=>[1,3,8,6,2,5,7,4]
[5,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,5]
[4,6,2,3,8,5,7,1]=>[1,7,5,8,3,2,6,4]
[3,7,2,4,5,6,8,1]=>[1,8,6,5,4,2,7,3]
[6,2,7,1,4,5,8,3]=>[3,8,5,4,1,7,2,6]
[5,2,7,1,3,8,6,4]=>[4,6,8,3,1,7,2,5]
[4,3,7,8,2,5,6,1]=>[1,6,5,2,8,7,3,4]
[6,3,8,5,1,2,4,7]=>[7,4,2,1,5,8,3,6]
[8,5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5,8]
[5,2,4,7,1,6,8,3]=>[3,8,6,1,7,4,2,5]
[4,3,5,8,2,7,1,6]=>[6,1,7,2,8,5,3,4]
[4,3,8,2,5,6,1,7]=>[7,1,6,5,2,8,3,4]
[3,8,1,2,4,7,5,6]=>[6,5,7,4,2,1,8,3]
[1,4,6,2,7,5,3,8]=>[8,3,5,7,2,6,4,1]
[8,2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2,8]
[1,7,4,6,8,3,5,2]=>[2,5,3,8,6,4,7,1]
[8,2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2,8]
[7,3,1,2,5,6,4,8]=>[8,4,6,5,2,1,3,7]
[7,2,4,1,5,8,6,3]=>[3,6,8,5,1,4,2,7]
[7,8,2,1,5,4,6,3]=>[3,6,4,5,1,2,8,7]
[1,4,2,8,6,5,3,7]=>[7,3,5,6,8,2,4,1]
[1,4,8,5,2,6,3,7]=>[7,3,6,2,5,8,4,1]
[1,5,2,4,6,3,8,7]=>[7,8,3,6,4,2,5,1]
[1,8,5,3,2,6,4,7]=>[7,4,6,2,3,5,8,1]
[6,4,1,3,2,5,8,7]=>[7,8,5,2,3,1,4,6]
[5,2,3,7,8,1,6,4]=>[4,6,1,8,7,3,2,5]
[5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]
[6,2,3,5,1,8,7,4]=>[4,7,8,1,5,3,2,6]
[7,6,3,4,2,8,1,5]=>[5,1,8,2,4,3,6,7]
[6,2,4,5,7,8,1,3]=>[3,1,8,7,5,4,2,6]
[8,6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6,8]
[6,2,5,3,7,1,8,4]=>[4,8,1,7,3,5,2,6]
[8,5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5,8]
[4,5,7,8,6,2,1,3]=>[3,1,2,6,8,7,5,4]
[1,2,8,4,3,6,7,5]=>[5,7,6,3,4,8,2,1]
[1,8,3,2,4,6,7,5]=>[5,7,6,4,2,3,8,1]
[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]
[1,2,7,4,5,3,8,6]=>[6,8,3,5,4,7,2,1]
[1,7,3,2,6,8,4,5]=>[5,4,8,6,2,3,7,1]
[8,2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2,8]
[7,2,1,3,6,8,4,5]=>[5,4,8,6,3,1,2,7]
[6,2,1,7,8,3,4,5]=>[5,4,3,8,7,1,2,6]
[4,6,5,2,7,1,8,3]=>[3,8,1,7,2,5,6,4]
[6,7,2,5,3,1,8,4]=>[4,8,1,3,5,2,7,6]
[3,7,2,5,4,1,8,6]=>[6,8,1,4,5,2,7,3]
[7,4,2,6,3,1,8,5]=>[5,8,1,3,6,2,4,7]
[2,6,4,7,5,1,8,3]=>[3,8,1,5,7,4,6,2]
[3,4,7,6,5,1,8,2]=>[2,8,1,5,6,7,4,3]
[3,4,7,6,2,8,5,1]=>[1,5,8,2,6,7,4,3]
[4,7,8,2,6,5,3,1]=>[1,3,5,6,2,8,7,4]
[4,7,8,1,6,5,3,2]=>[2,3,5,6,1,8,7,4]
[3,6,7,1,5,4,2,8]=>[8,2,4,5,1,7,6,3]
[3,5,8,6,1,4,2,7]=>[7,2,4,1,6,8,5,3]
[1,6,4,7,2,8,5,3]=>[3,5,8,2,7,4,6,1]
[1,3,7,5,2,8,4,6]=>[6,4,8,2,5,7,3,1]
[1,4,7,6,3,8,5,2]=>[2,5,8,3,6,7,4,1]
[1,7,8,2,6,5,4,3]=>[3,4,5,6,2,8,7,1]
[1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]
[1,8,2,6,5,4,3,7]=>[7,3,4,5,6,2,8,1]
[1,3,8,2,7,5,4,6]=>[6,4,5,7,2,8,3,1]
[1,8,4,2,7,6,3,5]=>[5,3,6,7,2,4,8,1]
[2,6,1,7,5,4,3,8]=>[8,3,4,5,7,1,6,2]
[2,7,1,6,5,4,3,8]=>[8,3,4,5,6,1,7,2]
[8,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,8]
[8,2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2,8]
[7,4,2,8,1,6,3,5]=>[5,3,6,1,8,2,4,7]
[5,2,8,6,1,4,3,7]=>[7,3,4,1,6,8,2,5]
[8,3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3,8]
[7,3,8,1,6,5,4,2]=>[2,4,5,6,1,8,3,7]
[7,3,8,2,6,5,4,1]=>[1,4,5,6,2,8,3,7]
[4,6,5,3,1,7,2,8]=>[8,2,7,1,3,5,6,4]
[5,3,6,1,2,8,7,4]=>[4,7,8,2,1,6,3,5]
[3,5,4,1,2,8,7,6]=>[6,7,8,2,1,4,5,3]
[4,6,5,1,2,8,7,3]=>[3,7,8,2,1,5,6,4]
[6,8,1,2,7,5,3,4]=>[4,3,5,7,2,1,8,6]
[4,6,2,3,8,7,5,1]=>[1,5,7,8,3,2,6,4]
[3,2,7,4,8,6,5,1]=>[1,5,6,8,4,7,2,3]
[8,1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1,8]
[5,2,1,7,3,8,6,4]=>[4,6,8,3,7,1,2,5]
[6,1,2,8,5,4,3,7]=>[7,3,4,5,8,2,1,6]
[7,1,3,8,6,5,4,2]=>[2,4,5,6,8,3,1,7]
[7,2,3,8,6,5,4,1]=>[1,4,5,6,8,3,2,7]
[8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8]
[1,3,7,4,8,6,5,2]=>[2,5,6,8,4,7,3,1]
[2,4,1,8,7,3,6,5]=>[5,6,3,7,8,1,4,2]
[2,8,5,1,7,3,6,4]=>[4,6,3,7,1,5,8,2]
[3,5,1,7,2,6,4,8]=>[8,4,6,2,7,1,5,3]
[2,8,1,5,4,3,7,6]=>[6,7,3,4,5,1,8,2]
[2,8,6,1,5,4,3,7]=>[7,3,4,5,1,6,8,2]
[2,6,1,5,8,4,3,7]=>[7,3,4,8,5,1,6,2]
[2,8,1,5,4,3,6,7]=>[7,6,3,4,5,1,8,2]
[7,4,6,1,5,3,2,8]=>[8,2,3,5,1,6,4,7]
[8,4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4,8]
[7,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,7]
[3,5,1,6,8,4,2,7]=>[7,2,4,8,6,1,5,3]
[3,5,1,7,8,2,6,4]=>[4,6,2,8,7,1,5,3]
[3,7,8,6,1,5,4,2]=>[2,4,5,1,6,8,7,3]
[7,8,4,6,1,5,3,2]=>[2,3,5,1,6,4,8,7]
[4,6,1,5,3,2,7,8]=>[8,7,2,3,5,1,6,4]
[5,4,7,8,2,1,6,3]=>[3,6,1,2,8,7,4,5]
[5,4,6,8,3,2,1,7]=>[7,1,2,3,8,6,4,5]
[6,4,5,8,3,2,1,7]=>[7,1,2,3,8,5,4,6]
[7,4,5,8,2,1,6,3]=>[3,6,1,2,8,5,4,7]
[7,4,6,8,1,5,3,2]=>[2,3,5,1,8,6,4,7]
[5,3,6,1,8,4,2,7]=>[7,2,4,8,1,6,3,5]
[6,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,6]
[8,6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6,8]
[6,4,7,1,5,3,2,8]=>[8,2,3,5,1,7,4,6]
[5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]
[8,4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4,8]
[8,5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5,8]
[3,4,6,2,1,8,5,7]=>[7,5,8,1,2,6,4,3]
[4,5,7,2,1,6,3,8]=>[8,3,6,1,2,7,5,4]
[4,6,7,1,5,3,2,8]=>[8,2,3,5,1,7,6,4]
[5,6,4,8,3,2,1,7]=>[7,1,2,3,8,4,6,5]
[5,7,4,8,2,1,6,3]=>[3,6,1,2,8,4,7,5]
[4,7,6,8,1,5,3,2]=>[2,3,5,1,8,6,7,4]
[4,7,5,8,2,1,6,3]=>[3,6,1,2,8,5,7,4]
[3,6,1,7,2,8,5,4]=>[4,5,8,2,7,1,6,3]
[5,7,4,2,6,3,8,1]=>[1,8,3,6,2,4,7,5]
[5,7,4,1,6,2,8,3]=>[3,8,2,6,1,4,7,5]
[7,8,3,1,5,2,6,4]=>[4,6,2,5,1,3,8,7]
[8,3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3,8]
[6,8,7,3,1,4,2,5]=>[5,2,4,1,3,7,8,6]
[8,5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5,8]
[4,5,1,6,7,8,3,2]=>[2,3,8,7,6,1,5,4]
[5,8,2,6,7,4,1,3]=>[3,1,4,7,6,2,8,5]
[5,6,8,2,1,7,3,4]=>[4,3,7,1,2,8,6,5]
[6,4,8,7,2,1,3,5]=>[5,3,1,2,7,8,4,6]
[4,5,2,6,1,3,8,7]=>[7,8,3,1,6,2,5,4]
[5,1,6,8,2,7,3,4]=>[4,3,7,2,8,6,1,5]
[5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]
[4,6,2,3,5,7,8,1]=>[1,8,7,5,3,2,6,4]
[8,3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3,8]
[8,2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2,8]
[2,8,6,7,3,1,4,5]=>[5,4,1,3,7,6,8,2]
[8,4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4,8]
[3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]
[7,1,4,6,8,3,5,2]=>[2,5,3,8,6,4,1,7]
[7,8,2,6,1,4,5,3]=>[3,5,4,1,6,2,8,7]
[7,5,8,2,1,3,6,4]=>[4,6,3,1,2,8,5,7]
[3,7,1,5,6,8,4,2]=>[2,4,8,6,5,1,7,3]
[6,7,1,2,4,8,5,3]=>[3,5,8,4,2,1,7,6]
[1,6,3,4,7,8,5,2]=>[2,5,8,7,4,3,6,1]
[2,3,6,4,7,5,8,1]=>[1,8,5,7,4,6,3,2]
[2,5,3,7,4,6,8,1]=>[1,8,6,4,7,3,5,2]
[7,4,8,1,3,5,6,2]=>[2,6,5,3,1,8,4,7]
[4,2,7,3,5,6,8,1]=>[1,8,6,5,3,7,2,4]
[7,8,1,3,4,5,6,2]=>[2,6,5,4,3,1,8,7]
[8,7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7,8]
[1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]
[4,7,3,2,8,1,5,6]=>[6,5,1,8,2,3,7,4]
[5,1,4,6,2,3,8,7]=>[7,8,3,2,6,4,1,5]
[6,1,4,5,2,3,8,7]=>[7,8,3,2,5,4,1,6]
[7,1,2,5,6,8,3,4]=>[4,3,8,6,5,2,1,7]
[7,1,2,6,3,8,5,4]=>[4,5,8,3,6,2,1,7]
[7,8,4,1,2,6,3,5]=>[5,3,6,2,1,4,8,7]
[8,1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1,8]
[8,1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1,8]
[4,8,6,3,1,2,7,5]=>[5,7,2,1,3,6,8,4]
[4,8,7,3,1,6,2,5]=>[5,2,6,1,3,7,8,4]
[4,7,8,3,1,6,2,5]=>[5,2,6,1,3,8,7,4]
[7,4,3,1,6,2,8,5]=>[5,8,2,6,1,3,4,7]
[8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]
[7,4,3,1,8,6,2,5]=>[5,2,6,8,1,3,4,7]
[3,7,6,2,4,8,1,5]=>[5,1,8,4,2,6,7,3]
[8,3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3,8]
[4,3,7,2,8,6,1,5]=>[5,1,6,8,2,7,3,4]
[7,1,2,8,6,3,5,4]=>[4,5,3,6,8,2,1,7]
[6,1,2,7,4,3,8,5]=>[5,8,3,4,7,2,1,6]
[5,1,2,6,3,8,7,4]=>[4,7,8,3,6,2,1,5]
[5,1,2,7,3,8,6,4]=>[4,6,8,3,7,2,1,5]
[6,1,2,7,3,5,8,4]=>[4,8,5,3,7,2,1,6]
[8,3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3,8]
[7,3,6,2,1,8,4,5]=>[5,4,8,1,2,6,3,7]
[6,1,2,8,3,5,7,4]=>[4,7,5,3,8,2,1,6]
[7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]
[4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]
[6,2,5,4,1,8,7,3]=>[3,7,8,1,4,5,2,6]
[4,6,3,2,1,8,7,5]=>[5,7,8,1,2,3,6,4]
[6,5,3,2,1,8,7,4]=>[4,7,8,1,2,3,5,6]
[8,4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4,8]
[1,5,8,4,7,6,3,2]=>[2,3,6,7,4,8,5,1]
[3,2,7,4,8,6,1,5]=>[5,1,6,8,4,7,2,3]
[7,4,3,2,8,6,1,5]=>[5,1,6,8,2,3,4,7]
[6,8,3,7,5,2,1,4]=>[4,1,2,5,7,3,8,6]
[5,7,8,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]
[6,4,3,8,5,2,1,7]=>[7,1,2,5,8,3,4,6]
[8,2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2,8]
[7,2,5,4,8,6,1,3]=>[3,1,6,8,4,5,2,7]
[4,5,3,2,8,6,1,7]=>[7,1,6,8,2,3,5,4]
[3,2,5,4,8,6,1,7]=>[7,1,6,8,4,5,2,3]
[3,2,8,6,5,4,1,7]=>[7,1,4,5,6,8,2,3]
[8,4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4,8]
[8,4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4,8]
[3,2,7,8,5,4,1,6]=>[6,1,4,5,8,7,2,3]
[6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6]
[2,3,1,8,5,7,4,6]=>[6,4,7,5,8,1,3,2]
[3,6,1,4,8,7,2,5]=>[5,2,7,8,4,1,6,3]
[5,8,1,3,7,2,6,4]=>[4,6,2,7,3,1,8,5]
[4,7,5,1,8,2,6,3]=>[3,6,2,8,1,5,7,4]
[6,3,2,1,8,7,4,5]=>[5,4,7,8,1,2,3,6]
[6,2,3,1,8,7,4,5]=>[5,4,7,8,1,3,2,6]
[3,4,7,1,8,5,6,2]=>[2,6,5,8,1,7,4,3]
[3,4,8,1,7,5,6,2]=>[2,6,5,7,1,8,4,3]
[5,6,7,1,3,8,4,2]=>[2,4,8,3,1,7,6,5]
[7,2,5,1,8,3,6,4]=>[4,6,3,8,1,5,2,7]
[7,2,1,5,8,4,6,3]=>[3,6,4,8,5,1,2,7]
[6,1,4,5,8,2,7,3]=>[3,7,2,8,5,4,1,6]
[7,1,4,6,8,2,5,3]=>[3,5,2,8,6,4,1,7]
[8,2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2,8]
[4,2,8,1,7,5,6,3]=>[3,6,5,7,1,8,2,4]
[8,4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4,8]
[8,6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6,8]
[8,3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3,8]
[5,3,8,6,1,7,4,2]=>[2,4,7,1,6,8,3,5]
[7,3,1,5,2,8,6,4]=>[4,6,8,2,5,1,3,7]
[7,1,6,4,2,8,5,3]=>[3,5,8,2,4,6,1,7]
[3,7,4,1,5,8,6,2]=>[2,6,8,5,1,4,7,3]
[5,8,6,1,2,7,4,3]=>[3,4,7,2,1,6,8,5]
[6,8,1,4,3,7,5,2]=>[2,5,7,3,4,1,8,6]
[6,7,1,4,3,8,5,2]=>[2,5,8,3,4,1,7,6]
[4,7,1,5,3,8,6,2]=>[2,6,8,3,5,1,7,4]
[2,7,1,4,5,8,6,3]=>[3,6,8,5,4,1,7,2]
[6,8,1,2,4,7,5,3]=>[3,5,7,4,2,1,8,6]
[7,1,6,4,8,3,5,2]=>[2,5,3,8,4,6,1,7]
[7,1,6,3,4,8,5,2]=>[2,5,8,4,3,6,1,7]
[8,6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6,8]
[8,6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6,8]
[8,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,8]
[8,6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6,8]
[7,2,1,4,5,8,6,3]=>[3,6,8,5,4,1,2,7]
[7,1,5,3,6,8,4,2]=>[2,4,8,6,3,5,1,7]
[8,6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6,8]
[8,5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5,8]
[8,4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4,8]
[8,6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6,8]
[8,2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2,8]
[8,7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7,8]
[8,5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5,8]
[3,6,1,4,5,8,7,2]=>[2,7,8,5,4,1,6,3]
[4,6,1,3,8,7,2,5]=>[5,2,7,8,3,1,6,4]
[5,6,8,2,1,7,4,3]=>[3,4,7,1,2,8,6,5]
[7,1,3,8,4,2,5,6]=>[6,5,2,4,8,3,1,7]
[8,5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5,8]
[2,8,3,5,7,4,1,6]=>[6,1,4,7,5,3,8,2]
[2,8,4,1,3,6,7,5]=>[5,7,6,3,1,4,8,2]
[2,7,4,5,8,6,1,3]=>[3,1,6,8,5,4,7,2]
[1,4,7,2,8,6,5,3]=>[3,5,6,8,2,7,4,1]
[6,4,8,5,1,3,2,7]=>[7,2,3,1,5,8,4,6]
[1,6,7,8,5,2,4,3]=>[3,4,2,5,8,7,6,1]
[6,2,4,7,5,1,8,3]=>[3,8,1,5,7,4,2,6]
[8,1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1,8]
[8,1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1,8]
[8,2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2,8]
[7,1,3,4,2,8,6,5]=>[5,6,8,2,4,3,1,7]
[6,1,4,3,2,7,8,5]=>[5,8,7,2,3,4,1,6]
[6,1,5,2,3,8,7,4]=>[4,7,8,3,2,5,1,6]
[8,7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7,8]
[8,5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5,8]
[1,8,3,6,7,2,4,5]=>[5,4,2,7,6,3,8,1]
[3,1,8,6,4,2,5,7]=>[7,5,2,4,6,8,1,3]
[1,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,1]
[8,1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1,8]
[8,2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2,8]
[8,2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2,8]
[8,2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2,8]
[8,2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2,8]
[8,6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6,8]
[8,7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7,8]
[4,6,7,2,1,8,3,5]=>[5,3,8,1,2,7,6,4]
[4,5,8,1,3,6,7,2]=>[2,7,6,3,1,8,5,4]
[3,7,1,8,2,5,4,6]=>[6,4,5,2,8,1,7,3]
[4,5,8,6,1,3,7,2]=>[2,7,3,1,6,8,5,4]
[4,5,8,6,2,7,3,1]=>[1,3,7,2,6,8,5,4]
[4,6,7,1,5,3,8,2]=>[2,8,3,5,1,7,6,4]
[4,6,7,2,1,8,5,3]=>[3,5,8,1,2,7,6,4]
[4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4]
[4,1,3,5,6,7,8,2]=>[2,8,7,6,5,3,1,4]
[3,7,8,4,5,1,6,2]=>[2,6,1,5,4,8,7,3]
[4,6,8,3,2,7,1,5]=>[5,1,7,2,3,8,6,4]
[4,6,8,2,3,7,1,5]=>[5,1,7,3,2,8,6,4]
[3,8,1,7,4,5,2,6]=>[6,2,5,4,7,1,8,3]
[4,5,8,3,7,1,2,6]=>[6,2,1,7,3,8,5,4]
[4,6,7,1,5,8,2,3]=>[3,2,8,5,1,7,6,4]
[3,7,8,4,6,2,5,1]=>[1,5,2,6,4,8,7,3]
[3,6,1,5,7,8,2,4]=>[4,2,8,7,5,1,6,3]
[3,8,2,5,4,7,1,6]=>[6,1,7,4,5,2,8,3]
[3,8,6,2,5,1,7,4]=>[4,7,1,5,2,6,8,3]
[4,5,8,6,2,1,7,3]=>[3,7,1,2,6,8,5,4]
[4,5,8,6,1,2,7,3]=>[3,7,2,1,6,8,5,4]
[4,6,8,5,2,7,1,3]=>[3,1,7,2,5,8,6,4]
[3,7,8,5,2,6,1,4]=>[4,1,6,2,5,8,7,3]
[3,7,8,5,4,1,6,2]=>[2,6,1,4,5,8,7,3]
[4,6,8,5,3,1,7,2]=>[2,7,1,3,5,8,6,4]
[7,8,2,3,5,4,1,6]=>[6,1,4,5,3,2,8,7]
[6,3,2,4,7,8,1,5]=>[5,1,8,7,4,2,3,6]
[2,8,1,5,7,4,6,3]=>[3,6,4,7,5,1,8,2]
[5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]
[6,7,2,4,8,3,1,5]=>[5,1,3,8,4,2,7,6]
[6,3,4,5,2,8,1,7]=>[7,1,8,2,5,4,3,6]
[4,5,6,8,3,7,1,2]=>[2,1,7,3,8,6,5,4]
[4,1,3,5,2,6,7,8]=>[8,7,6,2,5,3,1,4]
[1,5,7,4,6,3,8,2]=>[2,8,3,6,4,7,5,1]
[4,3,8,5,7,1,2,6]=>[6,2,1,7,5,8,3,4]
[1,6,5,3,7,2,8,4]=>[4,8,2,7,3,5,6,1]
[2,5,3,7,8,4,1,6]=>[6,1,4,8,7,3,5,2]
[5,1,3,7,6,4,8,2]=>[2,8,4,6,7,3,1,5]
[4,6,5,2,7,8,1,3]=>[3,1,8,7,2,5,6,4]
[4,6,5,1,7,3,2,8]=>[8,2,3,7,1,5,6,4]
[1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]
[1,6,5,3,4,2,8,7]=>[7,8,2,4,3,5,6,1]
[4,6,5,1,7,3,8,2]=>[2,8,3,7,1,5,6,4]
[5,7,3,1,2,4,8,6]=>[6,8,4,2,1,3,7,5]
[6,3,2,5,1,7,4,8]=>[8,4,7,1,5,2,3,6]
[6,1,2,4,8,5,3,7]=>[7,3,5,8,4,2,1,6]
[6,7,1,4,8,5,2,3]=>[3,2,5,8,4,1,7,6]
[5,8,3,2,1,4,6,7]=>[7,6,4,1,2,3,8,5]
[5,1,3,7,4,8,6,2]=>[2,6,8,4,7,3,1,5]
[6,3,1,7,2,5,8,4]=>[4,8,5,2,7,1,3,6]
[4,2,3,7,1,5,6,8]=>[8,6,5,1,7,3,2,4]
[3,4,8,5,1,2,7,6]=>[6,7,2,1,5,8,4,3]
[3,8,1,6,7,2,5,4]=>[4,5,2,7,6,1,8,3]
[4,5,7,6,3,8,1,2]=>[2,1,8,3,6,7,5,4]
[3,7,2,8,5,1,4,6]=>[6,4,1,5,8,2,7,3]
[1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]
[3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]
[2,6,5,1,4,3,7,8]=>[8,7,3,4,1,5,6,2]
[3,6,5,8,1,7,2,4]=>[4,2,7,1,8,5,6,3]
[1,6,5,3,7,8,4,2]=>[2,4,8,7,3,5,6,1]
[2,6,5,8,4,1,7,3]=>[3,7,1,4,8,5,6,2]
[2,3,5,1,8,6,4,7]=>[7,4,6,8,1,5,3,2]
[2,5,3,8,4,6,1,7]=>[7,1,6,4,8,3,5,2]
[5,2,7,3,4,6,1,8]=>[8,1,6,4,3,7,2,5]
[1,4,5,2,8,6,3,7]=>[7,3,6,8,2,5,4,1]
[1,3,5,8,6,4,7,2]=>[2,7,4,6,8,5,3,1]
[1,3,5,8,6,7,2,4]=>[4,2,7,6,8,5,3,1]
[6,1,7,4,8,5,3,2]=>[2,3,5,8,4,7,1,6]
[5,7,4,1,3,6,8,2]=>[2,8,6,3,1,4,7,5]
[8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]
[7,4,3,1,6,5,8,2]=>[2,8,5,6,1,3,4,7]
[8,6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6,8]
[7,8,1,4,6,5,3,2]=>[2,3,5,6,4,1,8,7]
[7,8,6,1,4,5,3,2]=>[2,3,5,4,1,6,8,7]
[7,8,6,4,1,3,5,2]=>[2,5,3,1,4,6,8,7]
[5,1,7,6,3,4,2,8]=>[8,2,4,3,6,7,1,5]
[6,2,7,3,8,5,4,1]=>[1,4,5,8,3,7,2,6]
[6,7,3,4,8,1,5,2]=>[2,5,1,8,4,3,7,6]
[1,2,7,5,3,4,8,6]=>[6,8,4,3,5,7,2,1]
[7,2,8,3,6,4,5,1]=>[1,5,4,6,3,8,2,7]
[6,2,7,8,3,1,4,5]=>[5,4,1,3,8,7,2,6]
[2,7,3,5,1,8,