Identifier
Images
=>
[1]=>[1]
[1,1]=>[1,1]
[1,2]=>[1,2]
[2,1]=>[2,1]
[1,1,1]=>[1,1,1]
[1,1,2]=>[1,1,2]
[1,2,1]=>[1,2,1]
[2,1,1]=>[1,3,1]
[1,1,3]=>[1,1,3]
[1,3,1]=>[2,2,1]
[3,1,1]=>[2,1,2]
[1,2,2]=>[1,2,2]
[2,1,2]=>[3,1,1]
[2,2,1]=>[2,1,1]
[1,2,3]=>[1,2,3]
[1,3,2]=>[2,3,1]
[2,1,3]=>[1,3,2]
[2,3,1]=>[2,1,3]
[3,1,2]=>[3,1,2]
[3,2,1]=>[3,2,1]
[1,1,1,1]=>[1,1,1,1]
[1,1,1,2]=>[1,1,1,2]
[1,1,2,1]=>[1,1,2,1]
[1,2,1,1]=>[1,2,1,1]
[2,1,1,1]=>[1,3,1,1]
[1,1,1,3]=>[1,1,1,3]
[1,1,3,1]=>[1,1,3,1]
[1,3,1,1]=>[1,1,4,1]
[3,1,1,1]=>[1,4,1,1]
[1,1,1,4]=>[1,1,1,4]
[1,1,4,1]=>[2,2,2,1]
[1,4,1,1]=>[2,2,1,2]
[4,1,1,1]=>[2,1,2,2]
[1,1,2,2]=>[1,1,2,2]
[1,2,1,2]=>[1,2,1,2]
[1,2,2,1]=>[1,2,2,1]
[2,1,1,2]=>[1,3,1,3]
[2,1,2,1]=>[1,3,3,1]
[2,2,1,1]=>[3,1,1,3]
[1,1,2,3]=>[1,2,1,3]
[1,1,3,2]=>[1,3,1,2]
[1,2,1,3]=>[1,2,1,4]
[1,2,3,1]=>[2,3,2,1]
[1,3,1,2]=>[1,4,1,2]
[1,3,2,1]=>[2,1,3,2]
[2,1,1,3]=>[1,3,1,4]
[2,1,3,1]=>[2,4,2,1]
[2,3,1,1]=>[3,1,2,3]
[3,1,1,2]=>[1,4,1,3]
[3,1,2,1]=>[2,1,4,2]
[3,2,1,1]=>[3,2,1,3]
[1,1,2,4]=>[1,1,2,4]
[1,1,4,2]=>[2,2,3,1]
[1,2,1,4]=>[1,1,2,3]
[1,2,4,1]=>[1,3,2,1]
[1,4,1,2]=>[2,1,2,3]
[1,4,2,1]=>[1,4,2,1]
[2,1,1,4]=>[1,1,3,2]
[2,1,4,1]=>[1,2,3,1]
[2,4,1,1]=>[1,2,4,1]
[4,1,1,2]=>[2,1,2,4]
[4,1,2,1]=>[1,4,3,1]
[4,2,1,1]=>[1,3,4,1]
[1,1,3,3]=>[1,1,3,3]
[1,3,1,3]=>[3,3,1,1]
[1,3,3,1]=>[2,2,1,1]
[3,1,1,3]=>[3,1,3,1]
[3,1,3,1]=>[2,1,2,1]
[3,3,1,1]=>[2,1,1,2]
[1,1,3,4]=>[1,1,3,4]
[1,1,4,3]=>[2,2,4,1]
[1,3,1,4]=>[1,1,4,3]
[1,3,4,1]=>[2,2,1,4]
[1,4,1,3]=>[3,3,1,2]
[1,4,3,1]=>[3,3,2,1]
[3,1,1,4]=>[1,1,4,2]
[3,1,4,1]=>[2,2,1,3]
[3,4,1,1]=>[2,3,1,2]
[4,1,1,3]=>[3,2,3,1]
[4,1,3,1]=>[3,1,3,2]
[4,3,1,1]=>[2,4,1,2]
[1,2,2,2]=>[1,2,2,2]
[2,1,2,2]=>[4,1,1,1]
[2,2,1,2]=>[3,1,1,1]
[2,2,2,1]=>[2,1,1,1]
[1,2,2,3]=>[1,2,2,3]
[1,2,3,2]=>[1,2,3,2]
[1,3,2,2]=>[1,2,4,2]
[2,1,2,3]=>[1,3,3,2]
[2,1,3,2]=>[1,3,2,3]
[2,2,1,3]=>[3,1,1,4]
[2,2,3,1]=>[2,1,1,3]
[2,3,1,2]=>[3,1,4,1]
[2,3,2,1]=>[2,1,3,1]
[3,1,2,2]=>[4,1,2,1]
[3,2,1,2]=>[4,2,1,2]
[3,2,2,1]=>[2,1,4,1]
[1,2,2,4]=>[1,2,2,4]
[1,2,4,2]=>[2,3,3,1]
[1,4,2,2]=>[2,3,1,3]
[2,1,2,4]=>[4,1,1,2]
[2,1,4,2]=>[4,1,1,3]
[2,2,1,4]=>[4,2,2,1]
[2,2,4,1]=>[2,1,1,4]
[2,4,1,2]=>[3,1,1,2]
[2,4,2,1]=>[3,2,2,1]
[4,1,2,2]=>[4,1,3,1]
[4,2,1,2]=>[3,1,2,1]
[4,2,2,1]=>[3,2,1,2]
[1,2,3,3]=>[1,2,3,3]
[1,3,2,3]=>[3,4,1,1]
[1,3,3,2]=>[2,3,1,1]
[2,1,3,3]=>[1,3,2,2]
[2,3,1,3]=>[1,4,2,2]
[2,3,3,1]=>[2,1,3,3]
[3,1,2,3]=>[4,1,2,2]
[3,1,3,2]=>[2,4,1,1]
[3,2,1,3]=>[4,2,1,1]
[3,2,3,1]=>[4,3,1,1]
[3,3,1,2]=>[3,1,2,2]
[3,3,2,1]=>[3,2,1,1]
[1,2,3,4]=>[1,2,3,4]
[1,2,4,3]=>[2,3,4,1]
[1,3,2,4]=>[1,2,4,3]
[1,3,4,2]=>[2,3,1,4]
[1,4,2,3]=>[3,4,1,2]
[1,4,3,2]=>[3,4,2,1]
[2,1,3,4]=>[1,3,2,4]
[2,1,4,3]=>[2,4,3,1]
[2,3,1,4]=>[1,4,2,3]
[2,3,4,1]=>[2,1,4,3]
[2,4,1,3]=>[3,1,2,4]
[2,4,3,1]=>[3,2,1,4]
[3,1,2,4]=>[1,3,4,2]
[3,1,4,2]=>[2,4,1,3]
[3,2,1,4]=>[1,4,3,2]
[3,2,4,1]=>[2,1,3,4]
[3,4,1,2]=>[3,1,4,2]
[3,4,2,1]=>[3,2,4,1]
[4,1,2,3]=>[4,1,3,2]
[4,1,3,2]=>[4,1,2,3]
[4,2,1,3]=>[4,2,3,1]
[4,2,3,1]=>[4,3,2,1]
[4,3,1,2]=>[4,2,1,3]
[4,3,2,1]=>[4,3,1,2]
[1,1,1,1,1]=>[1,1,1,1,1]
[1,1,1,1,2]=>[1,1,1,1,2]
[1,1,1,2,1]=>[1,1,1,2,1]
[1,1,2,1,1]=>[1,1,2,1,1]
[1,2,1,1,1]=>[1,2,1,1,1]
[2,1,1,1,1]=>[1,3,1,1,1]
[1,1,1,1,3]=>[1,1,1,1,3]
[1,1,1,3,1]=>[1,1,1,3,1]
[1,1,3,1,1]=>[1,1,3,1,1]
[1,3,1,1,1]=>[1,1,4,1,1]
[3,1,1,1,1]=>[1,4,1,1,1]
[1,1,1,1,4]=>[1,1,1,1,4]
[1,1,1,4,1]=>[1,1,1,4,1]
[1,1,4,1,1]=>[1,1,1,5,1]
[1,4,1,1,1]=>[1,1,5,1,1]
[4,1,1,1,1]=>[1,5,1,1,1]
[1,1,1,1,5]=>[1,1,1,1,5]
[1,1,1,5,1]=>[2,2,2,2,1]
[1,1,5,1,1]=>[2,2,2,1,2]
[1,5,1,1,1]=>[2,2,1,2,2]
[5,1,1,1,1]=>[2,1,2,2,2]
[1,1,1,2,2]=>[1,1,1,2,2]
[1,1,2,1,2]=>[1,1,2,1,2]
[1,1,2,2,1]=>[1,1,2,2,1]
[1,2,1,1,2]=>[1,2,1,1,2]
[1,2,1,2,1]=>[1,2,1,2,1]
[1,2,2,1,1]=>[1,2,2,1,1]
[2,1,1,1,2]=>[1,3,1,1,3]
[2,1,1,2,1]=>[1,3,1,3,1]
[2,1,2,1,1]=>[1,3,3,1,1]
[2,2,1,1,1]=>[1,4,4,1,1]
[1,1,1,2,3]=>[1,1,2,1,3]
[1,1,1,3,2]=>[1,1,3,1,2]
[1,1,2,1,3]=>[1,2,1,1,3]
[1,1,2,3,1]=>[1,2,1,3,1]
[1,1,3,1,2]=>[1,3,1,1,2]
[1,1,3,2,1]=>[1,3,1,2,1]
[1,2,1,1,3]=>[1,2,1,1,4]
[1,2,1,3,1]=>[1,2,1,4,1]
[1,2,3,1,1]=>[1,2,1,5,1]
[1,3,1,1,2]=>[1,4,1,1,2]
[1,3,1,2,1]=>[1,4,1,2,1]
[1,3,2,1,1]=>[1,5,2,1,1]
[2,1,1,1,3]=>[1,3,1,1,4]
[2,1,1,3,1]=>[1,3,1,4,1]
[2,1,3,1,1]=>[1,3,1,5,1]
[2,3,1,1,1]=>[1,4,5,1,1]
[3,1,1,1,2]=>[1,4,1,1,3]
[3,1,1,2,1]=>[1,4,1,3,1]
[3,1,2,1,1]=>[1,5,3,1,1]
[3,2,1,1,1]=>[1,5,4,1,1]
[1,1,1,2,4]=>[1,1,2,1,4]
[1,1,1,4,2]=>[1,1,4,1,2]
[1,1,2,1,4]=>[1,1,2,1,5]
[1,1,2,4,1]=>[2,2,3,2,1]
[1,1,4,1,2]=>[1,1,5,1,2]
[1,1,4,2,1]=>[2,2,1,3,2]
[1,2,1,1,4]=>[1,2,1,1,5]
[1,2,1,4,1]=>[2,3,2,2,1]
[1,2,4,1,1]=>[2,3,2,1,2]
[1,4,1,1,2]=>[1,5,1,1,2]
[1,4,1,2,1]=>[2,1,2,3,2]
[1,4,2,1,1]=>[2,1,3,2,2]
[2,1,1,1,4]=>[1,3,1,1,5]
[2,1,1,4,1]=>[2,4,2,2,1]
[2,1,4,1,1]=>[2,4,2,1,2]
[2,4,1,1,1]=>[2,5,1,2,2]
[4,1,1,1,2]=>[1,5,1,1,3]
[4,1,1,2,1]=>[2,1,2,4,2]
[4,1,2,1,1]=>[2,1,4,2,2]
[4,2,1,1,1]=>[2,1,5,2,2]
[1,1,1,2,5]=>[1,1,1,2,5]
[1,1,1,5,2]=>[2,2,2,3,1]
[1,1,2,1,5]=>[1,1,1,2,4]
[1,1,2,5,1]=>[1,1,4,2,1]
[1,1,5,1,2]=>[2,2,1,2,3]
[1,1,5,2,1]=>[1,1,5,2,1]
[1,2,1,1,5]=>[1,1,1,2,3]
[1,2,1,5,1]=>[1,1,3,2,1]
[1,2,5,1,1]=>[1,3,2,1,1]
[1,5,1,1,2]=>[2,1,2,2,3]
[1,5,1,2,1]=>[1,5,1,2,1]
[1,5,2,1,1]=>[1,4,2,1,1]
[2,1,1,1,5]=>[1,1,1,3,2]
[2,1,1,5,1]=>[1,1,2,3,1]
[2,1,5,1,1]=>[1,2,3,1,1]
[2,5,1,1,1]=>[1,2,4,1,1]
[5,1,1,1,2]=>[2,1,2,2,4]
[5,1,1,2,1]=>[1,5,1,3,1]
[5,1,2,1,1]=>[1,4,3,1,1]
[5,2,1,1,1]=>[1,3,4,1,1]
[1,1,1,3,3]=>[1,1,1,3,3]
[1,1,3,1,3]=>[1,1,3,1,3]
[1,1,3,3,1]=>[1,1,3,3,1]
[1,3,1,1,3]=>[1,1,4,1,4]
[1,3,1,3,1]=>[1,1,4,4,1]
[1,3,3,1,1]=>[3,3,1,1,3]
[3,1,1,1,3]=>[1,4,1,1,4]
[3,1,1,3,1]=>[1,4,1,4,1]
[3,1,3,1,1]=>[3,1,3,1,3]
[3,3,1,1,1]=>[3,1,1,3,3]
[1,1,1,3,4]=>[1,1,3,1,4]
[1,1,1,4,3]=>[1,1,4,1,3]
[1,1,3,1,4]=>[1,1,3,1,5]
[1,1,3,4,1]=>[2,2,4,2,1]
[1,1,4,1,3]=>[1,1,5,1,3]
[1,1,4,3,1]=>[2,2,1,4,2]
[1,3,1,1,4]=>[1,1,4,1,5]
[1,3,1,4,1]=>[2,2,5,2,1]
[1,3,4,1,1]=>[3,3,1,2,3]
[1,4,1,1,3]=>[1,1,5,1,4]
[1,4,1,3,1]=>[2,2,1,5,2]
[1,4,3,1,1]=>[3,3,2,1,3]
[3,1,1,1,4]=>[1,4,1,1,5]
[3,1,1,4,1]=>[2,5,2,2,1]
[3,1,4,1,1]=>[3,1,3,2,3]
[3,4,1,1,1]=>[3,1,2,3,3]
[4,1,1,1,3]=>[1,5,1,1,4]
[4,1,1,3,1]=>[2,1,2,5,2]
[4,1,3,1,1]=>[3,2,3,1,3]
[4,3,1,1,1]=>[3,2,1,3,3]
[1,1,1,3,5]=>[1,1,1,3,5]
[1,1,1,5,3]=>[2,2,2,4,1]
[1,1,3,1,5]=>[1,1,1,3,4]
[1,1,3,5,1]=>[1,1,4,3,1]
[1,1,5,1,3]=>[2,2,1,2,4]
[1,1,5,3,1]=>[1,1,5,3,1]
[1,3,1,1,5]=>[1,1,1,4,3]
[1,3,1,5,1]=>[1,1,3,4,1]
[1,3,5,1,1]=>[1,1,3,5,1]
[1,5,1,1,3]=>[2,2,1,2,5]
[1,5,1,3,1]=>[1,1,5,4,1]
[1,5,3,1,1]=>[1,1,4,5,1]
[3,1,1,1,5]=>[1,1,1,4,2]
[3,1,1,5,1]=>[1,1,2,4,1]
[3,1,5,1,1]=>[1,1,2,5,1]
[3,5,1,1,1]=>[1,2,5,1,1]
[5,1,1,1,3]=>[2,1,2,2,5]
[5,1,1,3,1]=>[1,5,1,4,1]
[5,1,3,1,1]=>[1,4,1,5,1]
[5,3,1,1,1]=>[1,3,5,1,1]
[1,1,1,4,4]=>[1,1,1,4,4]
[1,1,4,1,4]=>[3,3,3,1,1]
[1,1,4,4,1]=>[2,2,2,1,1]
[1,4,1,1,4]=>[3,3,1,3,1]
[1,4,1,4,1]=>[2,2,1,2,1]
[1,4,4,1,1]=>[2,2,1,1,2]
[4,1,1,1,4]=>[3,1,3,3,1]
[4,1,1,4,1]=>[2,1,2,2,1]
[4,1,4,1,1]=>[2,1,2,1,2]
[4,4,1,1,1]=>[2,1,1,2,2]
[1,1,1,4,5]=>[1,1,1,4,5]
[1,1,1,5,4]=>[2,2,2,5,1]
[1,1,4,1,5]=>[1,1,1,5,4]
[1,1,4,5,1]=>[2,2,2,1,5]
[1,1,5,1,4]=>[3,3,3,1,2]
[1,1,5,4,1]=>[3,3,3,2,1]
[1,4,1,1,5]=>[1,1,1,5,3]
[1,4,1,5,1]=>[2,2,2,1,4]
[1,4,5,1,1]=>[2,2,4,1,2]
[1,5,1,1,4]=>[3,3,2,3,1]
[1,5,1,4,1]=>[3,3,1,3,2]
[1,5,4,1,1]=>[2,2,5,1,2]
[4,1,1,1,5]=>[1,1,1,5,2]
[4,1,1,5,1]=>[2,2,2,1,3]
[4,1,5,1,1]=>[2,2,3,1,2]
[4,5,1,1,1]=>[2,3,1,2,2]
[5,1,1,1,4]=>[3,2,3,3,1]
[5,1,1,4,1]=>[3,1,3,3,2]
[5,1,4,1,1]=>[2,5,2,1,2]
[5,4,1,1,1]=>[2,4,1,2,2]
[1,1,2,2,2]=>[1,1,2,2,2]
[1,2,1,2,2]=>[1,2,1,2,2]
[1,2,2,1,2]=>[1,2,2,1,2]
[1,2,2,2,1]=>[1,2,2,2,1]
[2,1,1,2,2]=>[1,3,1,3,3]
[2,1,2,1,2]=>[1,3,3,1,3]
[2,1,2,2,1]=>[1,3,3,3,1]
[2,2,1,1,2]=>[4,1,1,4,1]
[2,2,1,2,1]=>[4,1,1,1,4]
[2,2,2,1,1]=>[3,1,1,1,3]
[1,1,2,2,3]=>[1,2,2,1,3]
[1,1,2,3,2]=>[1,2,3,1,2]
[1,1,3,2,2]=>[1,3,1,2,2]
[1,2,1,2,3]=>[1,2,2,1,4]
[1,2,1,3,2]=>[1,2,4,1,2]
[1,2,2,1,3]=>[1,2,2,1,5]
[1,2,2,3,1]=>[2,3,3,2,1]
[1,2,3,1,2]=>[1,2,5,1,2]
[1,2,3,2,1]=>[2,3,1,3,2]
[1,3,1,2,2]=>[1,4,1,2,2]
[1,3,2,1,2]=>[1,5,2,1,2]
[1,3,2,2,1]=>[2,1,3,3,2]
[2,1,1,2,3]=>[1,3,3,1,4]
[2,1,1,3,2]=>[1,3,4,1,3]
[2,1,2,1,3]=>[1,3,3,1,5]
[2,1,2,3,1]=>[2,4,4,2,1]
[2,1,3,1,2]=>[1,3,5,1,3]
[2,1,3,2,1]=>[2,4,1,4,2]
[2,2,1,1,3]=>[4,1,1,4,2]
[2,2,1,3,1]=>[4,1,1,4,3]
[2,2,3,1,1]=>[3,1,1,2,3]
[2,3,1,1,2]=>[4,1,2,4,1]
[2,3,1,2,1]=>[4,1,3,1,4]
[2,3,2,1,1]=>[3,1,2,1,3]
[3,1,1,2,2]=>[1,4,1,3,3]
[3,1,2,1,2]=>[1,5,3,1,3]
[3,1,2,2,1]=>[2,1,4,4,2]
[3,2,1,1,2]=>[4,2,1,4,1]
[3,2,1,2,1]=>[4,3,1,1,4]
[3,2,2,1,1]=>[3,2,1,1,3]
[1,1,2,2,4]=>[1,1,2,2,4]
[1,1,2,4,2]=>[1,1,2,4,2]
[1,1,4,2,2]=>[1,1,2,5,2]
[1,2,1,2,4]=>[1,1,2,2,3]
[1,2,1,4,2]=>[1,1,2,3,2]
[1,2,2,1,4]=>[1,2,1,2,3]
[1,2,2,4,1]=>[1,2,3,2,1]
[1,2,4,1,2]=>[1,3,2,1,2]
[1,2,4,2,1]=>[1,3,2,2,1]
[1,4,1,2,2]=>[1,5,1,2,2]
[1,4,2,1,2]=>[1,4,2,1,2]
[1,4,2,2,1]=>[1,4,2,2,1]
[2,1,1,2,4]=>[1,1,3,3,2]
[2,1,1,4,2]=>[1,1,3,2,3]
[2,1,2,1,4]=>[1,3,1,3,2]
[2,1,2,4,1]=>[1,3,2,3,1]
[2,1,4,1,2]=>[1,2,3,1,3]
[2,1,4,2,1]=>[1,2,3,3,1]
[2,2,1,1,4]=>[1,4,1,4,2]
[2,2,1,4,1]=>[1,4,2,4,1]
[2,2,4,1,1]=>[3,1,4,1,3]
[2,4,1,1,2]=>[1,2,4,1,4]
[2,4,1,2,1]=>[1,2,4,4,1]
[2,4,2,1,1]=>[3,4,1,1,3]
[4,1,1,2,2]=>[1,5,1,3,3]
[4,1,2,1,2]=>[1,4,3,1,3]
[4,1,2,2,1]=>[1,4,3,3,1]
[4,2,1,1,2]=>[1,3,4,1,4]
[4,2,1,2,1]=>[1,3,4,4,1]
[4,2,2,1,1]=>[3,5,1,1,3]
[1,1,2,2,5]=>[1,1,2,2,5]
[1,1,2,5,2]=>[2,2,3,3,1]
[1,1,5,2,2]=>[2,2,3,1,3]
[1,2,1,2,5]=>[1,2,1,2,5]
[1,2,1,5,2]=>[2,3,2,3,1]
[1,2,2,1,5]=>[1,2,1,2,4]
[1,2,2,5,1]=>[1,2,4,2,1]
[1,2,5,1,2]=>[2,3,1,2,3]
[1,2,5,2,1]=>[1,2,5,2,1]
[1,5,1,2,2]=>[2,1,2,3,3]
[1,5,2,1,2]=>[2,1,3,2,3]
[1,5,2,2,1]=>[1,5,2,2,1]
[2,1,1,2,5]=>[1,3,1,3,5]
[2,1,1,5,2]=>[2,4,2,4,1]
[2,1,2,1,5]=>[1,3,1,3,4]
[2,1,2,5,1]=>[1,3,4,3,1]
[2,1,5,1,2]=>[2,4,1,2,4]
[2,1,5,2,1]=>[1,3,5,3,1]
[2,2,1,1,5]=>[1,4,1,4,3]
[2,2,1,5,1]=>[1,4,3,4,1]
[2,2,5,1,1]=>[3,1,5,1,3]
[2,5,1,1,2]=>[4,1,3,4,1]
[2,5,1,2,1]=>[4,1,2,1,4]
[2,5,2,1,1]=>[4,2,1,2,4]
[5,1,1,2,2]=>[2,1,2,4,4]
[5,1,2,1,2]=>[2,1,4,2,4]
[5,1,2,2,1]=>[1,5,3,3,1]
[5,2,1,1,2]=>[4,3,1,4,1]
[5,2,1,2,1]=>[4,2,1,1,4]
[5,2,2,1,1]=>[4,1,2,2,4]
[1,1,2,3,3]=>[1,2,1,3,3]
[1,1,3,2,3]=>[1,3,2,1,3]
[1,1,3,3,2]=>[1,3,3,1,2]
[1,2,1,3,3]=>[1,2,1,4,4]
[1,2,3,1,3]=>[3,4,3,1,1]
[1,2,3,3,1]=>[2,3,2,1,1]
[1,3,1,2,3]=>[1,4,2,1,4]
[1,3,1,3,2]=>[1,4,4,1,2]
[1,3,2,1,3]=>[3,1,4,3,1]
[1,3,2,3,1]=>[2,1,3,2,1]
[1,3,3,1,2]=>[3,1,1,3,4]
[1,3,3,2,1]=>[2,1,1,3,2]
[2,1,1,3,3]=>[1,3,1,4,4]
[2,1,3,1,3]=>[3,5,3,1,1]
[2,1,3,3,1]=>[2,4,2,1,1]
[2,3,1,1,3]=>[4,1,2,4,2]
[2,3,1,3,1]=>[2,5,1,2,1]
[2,3,3,1,1]=>[3,1,2,2,3]
[3,1,1,2,3]=>[1,4,3,1,4]
[3,1,1,3,2]=>[1,4,4,1,3]
[3,1,2,1,3]=>[3,1,5,3,1]
[3,1,2,3,1]=>[2,1,4,2,1]
[3,1,3,1,2]=>[3,1,1,3,5]
[3,1,3,2,1]=>[2,1,1,4,2]
[3,2,1,1,3]=>[4,2,1,4,2]
[3,2,1,3,1]=>[2,1,5,2,1]
[3,2,3,1,1]=>[3,2,1,2,3]
[3,3,1,1,2]=>[4,2,2,4,1]
[3,3,1,2,1]=>[2,1,1,5,2]
[3,3,2,1,1]=>[3,2,2,1,3]
[1,1,2,3,4]=>[1,3,1,2,4]
[1,1,2,4,3]=>[1,4,2,1,3]
[1,1,3,2,4]=>[1,3,1,2,5]
[1,1,3,4,2]=>[2,4,2,3,1]
[1,1,4,2,3]=>[1,5,2,1,3]
[1,1,4,3,2]=>[2,1,4,2,3]
[1,2,1,3,4]=>[1,4,1,2,3]
[1,2,1,4,3]=>[1,3,2,1,4]
[1,2,3,1,4]=>[1,5,1,2,3]
[1,2,3,4,1]=>[2,1,4,3,2]
[1,2,4,1,3]=>[1,3,2,1,5]
[1,2,4,3,1]=>[2,4,3,2,1]
[1,3,1,2,4]=>[1,4,1,2,5]
[1,3,1,4,2]=>[2,5,2,3,1]
[1,3,2,1,4]=>[1,5,1,2,4]
[1,3,2,4,1]=>[2,1,5,3,2]
[1,3,4,1,2]=>[3,1,2,3,4]
[1,3,4,2,1]=>[3,2,1,4,3]
[1,4,1,2,3]=>[1,5,2,1,4]
[1,4,1,3,2]=>[2,1,5,2,3]
[1,4,2,1,3]=>[1,4,2,1,5]
[1,4,2,3,1]=>[2,5,3,2,1]
[1,4,3,1,2]=>[3,2,1,3,4]
[1,4,3,2,1]=>[3,1,2,4,3]
[2,1,1,3,4]=>[1,4,1,3,2]
[2,1,1,4,3]=>[1,2,3,1,4]
[2,1,3,1,4]=>[1,5,1,3,2]
[2,1,3,4,1]=>[2,1,3,4,2]
[2,1,4,1,3]=>[1,2,3,1,5]
[2,1,4,3,1]=>[2,3,4,2,1]
[2,3,1,1,4]=>[1,5,1,4,2]
[2,3,1,4,1]=>[2,1,3,5,2]
[2,3,4,1,1]=>[3,2,4,1,3]
[2,4,1,1,3]=>[1,2,4,1,5]
[2,4,1,3,1]=>[2,3,5,2,1]
[2,4,3,1,1]=>[3,4,1,2,3]
[3,1,1,2,4]=>[1,4,1,3,5]
[3,1,1,4,2]=>[2,5,2,4,1]
[3,1,2,1,4]=>[1,5,1,3,4]
[3,1,2,4,1]=>[2,1,5,4,2]
[3,1,4,1,2]=>[3,1,2,3,5]
[3,1,4,2,1]=>[3,2,1,5,3]
[3,2,1,1,4]=>[1,5,1,4,3]
[3,2,1,4,1]=>[2,1,4,5,2]
[3,2,4,1,1]=>[3,2,5,1,3]
[3,4,1,1,2]=>[4,2,3,4,1]
[3,4,1,2,1]=>[4,3,2,1,4]
[3,4,2,1,1]=>[4,3,1,2,4]
[4,1,1,2,3]=>[1,5,3,1,4]
[4,1,1,3,2]=>[2,1,5,2,4]
[4,1,2,1,3]=>[1,4,3,1,5]
[4,1,2,3,1]=>[2,5,4,2,1]
[4,1,3,1,2]=>[3,2,1,3,5]
[4,1,3,2,1]=>[3,1,2,5,3]
[4,2,1,1,3]=>[1,3,4,1,5]
[4,2,1,3,1]=>[2,4,5,2,1]
[4,2,3,1,1]=>[3,5,1,2,3]
[4,3,1,1,2]=>[4,3,2,4,1]
[4,3,1,2,1]=>[4,2,3,1,4]
[4,3,2,1,1]=>[4,1,3,2,4]
[1,1,2,3,5]=>[1,2,1,3,5]
[1,1,2,5,3]=>[2,3,2,4,1]
[1,1,3,2,5]=>[1,2,1,3,4]
[1,1,3,5,2]=>[1,4,3,1,2]
[1,1,5,2,3]=>[2,1,3,2,4]
[1,1,5,3,2]=>[1,5,3,1,2]
[1,2,1,3,5]=>[1,2,1,4,5]
[1,2,1,5,3]=>[2,3,2,5,1]
[1,2,3,1,5]=>[1,2,1,5,4]
[1,2,3,5,1]=>[2,3,2,1,5]
[1,2,5,1,3]=>[3,4,3,1,2]
[1,2,5,3,1]=>[3,4,3,2,1]
[1,3,1,2,5]=>[1,2,1,4,3]
[1,3,1,5,2]=>[1,3,4,1,2]
[1,3,2,1,5]=>[1,2,1,5,3]
[1,3,2,5,1]=>[2,3,2,1,4]
[1,3,5,1,2]=>[1,3,5,1,2]
[1,3,5,2,1]=>[2,4,1,3,2]
[1,5,1,2,3]=>[2,1,3,2,5]
[1,5,1,3,2]=>[1,5,4,1,2]
[1,5,2,1,3]=>[3,2,4,3,1]
[1,5,2,3,1]=>[3,1,4,3,2]
[1,5,3,1,2]=>[1,4,5,1,2]
[1,5,3,2,1]=>[2,5,1,3,2]
[2,1,1,3,5]=>[1,3,1,4,5]
[2,1,1,5,3]=>[2,4,2,5,1]
[2,1,3,1,5]=>[1,3,1,5,4]
[2,1,3,5,1]=>[2,4,2,1,5]
[2,1,5,1,3]=>[3,5,3,1,2]
[2,1,5,3,1]=>[3,5,3,2,1]
[2,3,1,1,5]=>[1,4,1,5,3]
[2,3,1,5,1]=>[2,5,2,1,4]
[2,3,5,1,1]=>[3,1,5,2,3]
[2,5,1,1,3]=>[4,1,3,4,2]
[2,5,1,3,1]=>[4,1,2,4,3]
[2,5,3,1,1]=>[4,2,1,3,4]
[3,1,1,2,5]=>[1,3,1,4,2]
[3,1,1,5,2]=>[1,2,4,1,3]
[3,1,2,1,5]=>[1,3,1,5,2]
[3,1,2,5,1]=>[2,4,2,1,3]
[3,1,5,1,2]=>[1,2,5,1,3]
[3,1,5,2,1]=>[2,3,1,4,2]
[3,2,1,1,5]=>[1,4,1,5,2]
[3,2,1,5,1]=>[2,5,2,1,3]
[3,2,5,1,1]=>[3,1,4,2,3]
[3,5,1,1,2]=>[1,2,5,1,4]
[3,5,1,2,1]=>[2,3,1,5,2]
[3,5,2,1,1]=>[3,4,2,1,3]
[5,1,1,2,3]=>[2,1,4,2,5]
[5,1,1,3,2]=>[1,5,4,1,3]
[5,1,2,1,3]=>[3,2,5,3,1]
[5,1,2,3,1]=>[3,1,5,3,2]
[5,1,3,1,2]=>[1,4,5,1,3]
[5,1,3,2,1]=>[2,5,1,4,2]
[5,2,1,1,3]=>[4,3,1,4,2]
[5,2,1,3,1]=>[4,2,1,4,3]
[5,2,3,1,1]=>[4,1,2,3,4]
[5,3,1,1,2]=>[1,3,5,1,4]
[5,3,1,2,1]=>[2,4,1,5,2]
[5,3,2,1,1]=>[3,5,2,1,3]
[1,1,2,4,4]=>[1,1,2,4,4]
[1,1,4,2,4]=>[3,3,4,1,1]
[1,1,4,4,2]=>[2,2,3,1,1]
[1,2,1,4,4]=>[1,1,2,3,3]
[1,2,4,1,4]=>[1,3,1,2,3]
[1,2,4,4,1]=>[1,3,3,2,1]
[1,4,1,2,4]=>[3,1,3,4,1]
[1,4,1,4,2]=>[2,1,2,3,1]
[1,4,2,1,4]=>[1,4,1,2,4]
[1,4,2,4,1]=>[1,4,4,2,1]
[1,4,4,1,2]=>[2,1,1,2,3]
[1,4,4,2,1]=>[3,1,1,4,3]
[2,1,1,4,4]=>[1,1,3,2,2]
[2,1,4,1,4]=>[1,2,1,3,2]
[2,1,4,4,1]=>[1,2,2,3,1]
[2,4,1,1,4]=>[1,2,1,4,2]
[2,4,1,4,1]=>[1,2,2,4,1]
[2,4,4,1,1]=>[1,2,2,5,1]
[4,1,1,2,4]=>[3,1,3,5,1]
[4,1,1,4,2]=>[2,1,2,4,1]
[4,1,2,1,4]=>[1,4,1,3,4]
[4,1,2,4,1]=>[1,4,4,3,1]
[4,1,4,1,2]=>[2,1,1,2,4]
[4,1,4,2,1]=>[3,1,1,5,3]
[4,2,1,1,4]=>[1,3,1,4,3]
[4,2,1,4,1]=>[1,3,3,4,1]
[4,2,4,1,1]=>[1,3,3,5,1]
[4,4,1,1,2]=>[2,1,1,2,5]
[4,4,1,2,1]=>[4,2,2,1,4]
[4,4,2,1,1]=>[4,1,1,2,4]
[1,1,2,4,5]=>[1,1,2,4,5]
[1,1,2,5,4]=>[2,2,3,5,1]
[1,1,4,2,5]=>[1,1,2,5,4]
[1,1,4,5,2]=>[2,2,3,1,5]
[1,1,5,2,4]=>[3,3,4,1,2]
[1,1,5,4,2]=>[3,3,4,2,1]
[1,2,1,4,5]=>[1,1,2,3,5]
[1,2,1,5,4]=>[2,2,3,4,1]
[1,2,4,1,5]=>[1,1,2,3,4]
[1,2,4,5,1]=>[1,4,3,2,1]
[1,2,5,1,4]=>[2,1,2,3,4]
[1,2,5,4,1]=>[1,5,3,2,1]
[1,4,1,2,5]=>[1,1,2,5,3]
[1,4,1,5,2]=>[2,2,3,1,4]
[1,4,2,1,5]=>[1,1,2,4,3]
[1,4,2,5,1]=>[1,3,4,2,1]
[1,4,5,1,2]=>[2,4,1,2,3]
[1,4,5,2,1]=>[1,3,5,2,1]
[1,5,1,2,4]=>[3,2,3,4,1]
[1,5,1,4,2]=>[3,1,3,4,2]
[1,5,2,1,4]=>[2,1,2,3,5]
[1,5,2,4,1]=>[1,5,4,2,1]
[1,5,4,1,2]=>[2,5,1,2,3]
[1,5,4,2,1]=>[1,4,5,2,1]
[2,1,1,4,5]=>[1,1,3,2,5]
[2,1,1,5,4]=>[2,2,4,3,1]
[2,1,4,1,5]=>[1,1,3,2,4]
[2,1,4,5,1]=>[1,4,2,3,1]
[2,1,5,1,4]=>[2,1,2,4,3]
[2,1,5,4,1]=>[1,5,2,3,1]
[2,4,1,1,5]=>[1,1,4,2,3]
[2,4,1,5,1]=>[1,3,2,4,1]
[2,4,5,1,1]=>[1,3,2,5,1]
[2,5,1,1,4]=>[2,1,2,5,3]
[2,5,1,4,1]=>[1,5,2,4,1]
[2,5,4,1,1]=>[1,4,2,5,1]
[4,1,1,2,5]=>[1,1,3,5,2]
[4,1,1,5,2]=>[2,2,4,1,3]
[4,1,2,1,5]=>[1,1,3,4,2]
[4,1,2,5,1]=>[1,2,4,3,1]
[4,1,5,1,2]=>[2,3,1,2,4]
[4,1,5,2,1]=>[1,2,5,3,1]
[4,2,1,1,5]=>[1,1,4,3,2]
[4,2,1,5,1]=>[1,2,3,4,1]
[4,2,5,1,1]=>[1,2,3,5,1]
[4,5,1,1,2]=>[2,3,1,2,5]
[4,5,1,2,1]=>[1,2,5,4,1]
[4,5,2,1,1]=>[1,2,4,5,1]
[5,1,1,2,4]=>[3,2,3,5,1]
[5,1,1,4,2]=>[3,1,3,5,2]
[5,1,2,1,4]=>[2,1,2,4,5]
[5,1,2,4,1]=>[1,5,4,3,1]
[5,1,4,1,2]=>[2,5,1,2,4]
[5,1,4,2,1]=>[1,4,5,3,1]
[5,2,1,1,4]=>[2,1,2,5,4]
[5,2,1,4,1]=>[1,5,3,4,1]
[5,2,4,1,1]=>[1,4,3,5,1]
[5,4,1,1,2]=>[2,4,1,2,5]
[5,4,1,2,1]=>[1,3,5,4,1]
[5,4,2,1,1]=>[1,3,4,5,1]
[1,1,3,3,3]=>[1,1,3,3,3]
[1,3,1,3,3]=>[4,4,1,1,1]
[1,3,3,1,3]=>[3,3,1,1,1]
[1,3,3,3,1]=>[2,2,1,1,1]
[3,1,1,3,3]=>[4,1,4,1,1]
[3,1,3,1,3]=>[3,1,3,1,1]
[3,1,3,3,1]=>[2,1,2,1,1]
[3,3,1,1,3]=>[3,1,1,3,1]
[3,3,1,3,1]=>[2,1,1,2,1]
[3,3,3,1,1]=>[2,1,1,1,2]
[1,1,3,3,4]=>[1,1,3,3,4]
[1,1,3,4,3]=>[1,1,3,4,3]
[1,1,4,3,3]=>[1,1,3,5,3]
[1,3,1,3,4]=>[1,1,4,4,3]
[1,3,1,4,3]=>[1,1,4,3,4]
[1,3,3,1,4]=>[3,3,1,1,5]
[1,3,3,4,1]=>[2,2,1,1,4]
[1,3,4,1,3]=>[3,3,1,5,1]
[1,3,4,3,1]=>[2,2,1,4,1]
[1,4,1,3,3]=>[4,4,1,2,1]
[1,4,3,1,3]=>[4,4,2,1,2]
[1,4,3,3,1]=>[2,2,1,5,1]
[3,1,1,3,4]=>[1,1,4,4,2]
[3,1,1,4,3]=>[1,1,4,2,4]
[3,1,3,1,4]=>[3,3,1,1,4]
[3,1,3,4,1]=>[2,2,1,1,3]
[3,1,4,1,3]=>[3,3,1,4,1]
[3,1,4,3,1]=>[2,2,1,3,1]
[3,3,1,1,4]=>[3,1,3,1,4]
[3,3,1,4,1]=>[2,1,2,1,3]
[3,3,4,1,1]=>[2,1,3,1,2]
[3,4,1,1,3]=>[3,4,1,3,1]
[3,4,1,3,1]=>[2,3,1,2,1]
[3,4,3,1,1]=>[2,3,1,1,2]
[4,1,1,3,3]=>[4,2,4,1,1]
[4,1,3,1,3]=>[4,1,4,2,2]
[4,1,3,3,1]=>[2,5,2,1,1]
[4,3,1,1,3]=>[3,5,1,3,1]
[4,3,1,3,1]=>[2,4,1,2,1]
[4,3,3,1,1]=>[2,4,1,1,2]
[1,1,3,3,5]=>[1,1,3,3,5]
[1,1,3,5,3]=>[2,2,4,4,1]
[1,1,5,3,3]=>[2,2,4,1,4]
[1,3,1,3,5]=>[4,4,1,1,2]
[1,3,1,5,3]=>[4,4,1,1,3]
[1,3,3,1,5]=>[4,4,2,2,1]
[1,3,3,5,1]=>[2,2,1,1,5]
[1,3,5,1,3]=>[3,3,1,1,2]
[1,3,5,3,1]=>[3,3,2,2,1]
[1,5,1,3,3]=>[4,4,1,3,1]
[1,5,3,1,3]=>[3,3,1,2,1]
[1,5,3,3,1]=>[3,3,2,1,2]
[3,1,1,3,5]=>[4,1,4,1,2]
[3,1,1,5,3]=>[4,1,4,1,3]
[3,1,3,1,5]=>[4,2,4,2,1]
[3,1,3,5,1]=>[2,1,2,1,5]
[3,1,5,1,3]=>[3,1,3,1,2]
[3,1,5,3,1]=>[3,2,3,2,1]
[3,3,1,1,5]=>[3,1,3,1,5]
[3,3,1,5,1]=>[2,1,2,1,4]
[3,3,5,1,1]=>[2,1,4,1,2]
[3,5,1,1,3]=>[3,1,2,3,1]
[3,5,1,3,1]=>[3,2,1,3,2]
[3,5,3,1,1]=>[2,1,5,1,2]
[5,1,1,3,3]=>[4,3,4,1,1]
[5,1,3,1,3]=>[3,2,3,1,1]
[5,1,3,3,1]=>[3,1,3,2,2]
[5,3,1,1,3]=>[3,2,1,3,1]
[5,3,1,3,1]=>[3,1,2,3,2]
[5,3,3,1,1]=>[2,5,1,1,2]
[1,1,3,4,4]=>[1,1,3,4,4]
[1,1,4,3,4]=>[3,3,5,1,1]
[1,1,4,4,3]=>[2,2,4,1,1]
[1,3,1,4,4]=>[1,1,4,3,3]
[1,3,4,1,4]=>[1,1,5,3,3]
[1,3,4,4,1]=>[2,2,1,4,4]
[1,4,1,3,4]=>[4,4,1,2,2]
[1,4,1,4,3]=>[2,2,5,1,1]
[1,4,3,1,4]=>[4,4,2,1,1]
[1,4,3,4,1]=>[4,4,3,1,1]
[1,4,4,1,3]=>[3,3,1,2,2]
[1,4,4,3,1]=>[3,3,2,1,1]
[3,1,1,4,4]=>[1,1,4,2,2]
[3,1,4,1,4]=>[1,1,5,2,2]
[3,1,4,4,1]=>[2,2,1,3,3]
[3,4,1,1,4]=>[1,2,1,5,2]
[3,4,1,4,1]=>[2,3,2,1,3]
[3,4,4,1,1]=>[2,3,3,1,2]
[4,1,1,3,4]=>[4,2,4,1,2]
[4,1,1,4,3]=>[2,1,2,5,1]
[4,1,3,1,4]=>[4,1,4,2,1]
[4,1,3,4,1]=>[4,1,4,3,1]
[4,1,4,1,3]=>[3,2,3,1,2]
[4,1,4,3,1]=>[3,1,3,2,1]
[4,3,1,1,4]=>[1,3,1,5,3]
[4,3,1,4,1]=>[2,4,2,1,4]
[4,3,4,1,1]=>[2,4,4,1,2]
[4,4,1,1,3]=>[3,2,2,3,1]
[4,4,1,3,1]=>[3,1,1,3,2]
[4,4,3,1,1]=>[4,1,1,3,4]
[1,1,3,4,5]=>[1,1,3,4,5]
[1,1,3,5,4]=>[2,2,4,5,1]
[1,1,4,3,5]=>[1,1,3,5,4]
[1,1,4,5,3]=>[2,2,4,1,5]
[1,1,5,3,4]=>[3,3,5,1,2]
[1,1,5,4,3]=>[3,3,5,2,1]
[1,3,1,4,5]=>[1,1,4,3,5]
[1,3,1,5,4]=>[2,2,5,4,1]
[1,3,4,1,5]=>[1,1,5,3,4]
[1,3,4,5,1]=>[2,2,1,5,4]
[1,3,5,1,4]=>[3,3,1,2,5]
[1,3,5,4,1]=>[3,3,2,1,5]
[1,4,1,3,5]=>[1,1,4,5,3]
[1,4,1,5,3]=>[2,2,5,1,4]
[1,4,3,1,5]=>[1,1,5,4,3]
[1,4,3,5,1]=>[2,2,1,4,5]
[1,4,5,1,3]=>[3,3,1,5,2]
[1,4,5,3,1]=>[3,3,2,5,1]
[1,5,1,3,4]=>[4,4,1,3,2]
[1,5,1,4,3]=>[4,4,1,2,3]
[1,5,3,1,4]=>[4,4,2,3,1]
[1,5,3,4,1]=>[4,4,3,2,1]
[1,5,4,1,3]=>[4,4,2,1,3]
[1,5,4,3,1]=>[4,4,3,1,2]
[3,1,1,4,5]=>[1,1,4,2,5]
[3,1,1,5,4]=>[2,2,5,3,1]
[3,1,4,1,5]=>[1,1,5,2,4]
[3,1,4,5,1]=>[2,2,1,5,3]
[3,1,5,1,4]=>[3,3,1,2,4]
[3,1,5,4,1]=>[3,3,2,1,4]
[3,4,1,1,5]=>[1,1,5,2,3]
[3,4,1,5,1]=>[2,2,1,4,3]
[3,4,5,1,1]=>[2,4,3,1,2]
[3,5,1,1,4]=>[3,2,3,1,4]
[3,5,1,4,1]=>[3,1,3,2,4]
[3,5,4,1,1]=>[2,5,3,1,2]
[4,1,1,3,5]=>[1,1,4,5,2]
[4,1,1,5,3]=>[2,2,5,1,3]
[4,1,3,1,5]=>[1,1,5,4,2]
[4,1,3,5,1]=>[2,2,1,3,5]
[4,1,5,1,3]=>[3,3,1,4,2]
[4,1,5,3,1]=>[3,3,2,4,1]
[4,3,1,1,5]=>[1,1,5,3,2]
[4,3,1,5,1]=>[2,2,1,3,4]
[4,3,5,1,1]=>[2,3,4,1,2]
[4,5,1,1,3]=>[3,4,2,3,1]
[4,5,1,3,1]=>[3,4,1,3,2]
[4,5,3,1,1]=>[2,3,5,1,2]
[5,1,1,3,4]=>[4,3,4,1,2]
[5,1,1,4,3]=>[4,2,4,1,3]
[5,1,3,1,4]=>[4,3,4,2,1]
[5,1,3,4,1]=>[4,2,4,3,1]
[5,1,4,1,3]=>[4,1,4,2,3]
[5,1,4,3,1]=>[4,1,4,3,2]
[5,3,1,1,4]=>[3,2,3,1,5]
[5,3,1,4,1]=>[3,1,3,2,5]
[5,3,4,1,1]=>[2,5,4,1,2]
[5,4,1,1,3]=>[3,5,2,3,1]
[5,4,1,3,1]=>[3,5,1,3,2]
[5,4,3,1,1]=>[2,4,5,1,2]
[1,2,2,2,2]=>[1,2,2,2,2]
[2,1,2,2,2]=>[5,1,1,1,1]
[2,2,1,2,2]=>[4,1,1,1,1]
[2,2,2,1,2]=>[3,1,1,1,1]
[2,2,2,2,1]=>[2,1,1,1,1]
[1,2,2,2,3]=>[1,2,2,2,3]
[1,2,2,3,2]=>[1,2,2,3,2]
[1,2,3,2,2]=>[1,2,3,2,2]
[1,3,2,2,2]=>[1,2,4,2,2]
[2,1,2,2,3]=>[1,3,3,3,2]
[2,1,2,3,2]=>[1,3,3,2,3]
[2,1,3,2,2]=>[1,3,2,3,3]
[2,2,1,2,3]=>[4,1,1,1,5]
[2,2,1,3,2]=>[4,1,1,5,1]
[2,2,2,1,3]=>[3,1,1,1,4]
[2,2,2,3,1]=>[2,1,1,1,3]
[2,2,3,1,2]=>[3,1,1,4,1]
[2,2,3,2,1]=>[2,1,1,3,1]
[2,3,1,2,2]=>[4,1,5,1,1]
[2,3,2,1,2]=>[3,1,4,1,1]
[2,3,2,2,1]=>[2,1,3,1,1]
[3,1,2,2,2]=>[5,1,2,1,1]
[3,2,1,2,2]=>[5,2,1,2,2]
[3,2,2,1,2]=>[3,1,5,1,1]
[3,2,2,2,1]=>[2,1,4,1,1]
[1,2,2,2,4]=>[1,2,2,2,4]
[1,2,2,4,2]=>[1,2,2,4,2]
[1,2,4,2,2]=>[1,2,2,5,2]
[1,4,2,2,2]=>[1,2,5,2,2]
[2,1,2,2,4]=>[5,1,1,1,2]
[2,1,2,4,2]=>[5,1,1,2,1]
[2,1,4,2,2]=>[5,1,1,3,1]
[2,2,1,2,4]=>[5,2,2,2,1]
[2,2,1,4,2]=>[5,2,2,1,2]
[2,2,2,1,4]=>[3,1,1,1,5]
[2,2,2,4,1]=>[2,1,1,1,4]
[2,2,4,1,2]=>[3,1,1,5,1]
[2,2,4,2,1]=>[2,1,1,4,1]
[2,4,1,2,2]=>[4,1,1,2,1]
[2,4,2,1,2]=>[4,2,2,1,2]
[2,4,2,2,1]=>[2,1,1,5,1]
[4,1,2,2,2]=>[5,1,3,1,1]
[4,2,1,2,2]=>[4,1,2,1,1]
[4,2,2,1,2]=>[4,2,1,2,2]
[4,2,2,2,1]=>[2,1,5,1,1]
[1,2,2,2,5]=>[1,2,2,2,5]
[1,2,2,5,2]=>[2,3,3,3,1]
[1,2,5,2,2]=>[2,3,3,1,3]
[1,5,2,2,2]=>[2,3,1,3,3]
[2,1,2,2,5]=>[5,1,1,1,3]
[2,1,2,5,2]=>[5,1,1,1,4]
[2,1,5,2,2]=>[5,1,1,4,1]
[2,2,1,2,5]=>[4,1,1,1,2]
[2,2,1,5,2]=>[4,1,1,1,3]
[2,2,2,1,5]=>[4,2,2,2,1]
[2,2,2,5,1]=>[2,1,1,1,5]
[2,2,5,1,2]=>[3,1,1,1,2]
[2,2,5,2,1]=>[3,2,2,2,1]
[2,5,1,2,2]=>[4,1,1,3,1]
[2,5,2,1,2]=>[3,1,1,2,1]
[2,5,2,2,1]=>[3,2,2,1,2]
[5,1,2,2,2]=>[5,1,4,1,1]
[5,2,1,2,2]=>[4,1,3,1,1]
[5,2,2,1,2]=>[3,1,2,1,1]
[5,2,2,2,1]=>[3,2,1,2,2]
[1,2,2,3,3]=>[1,2,2,3,3]
[1,2,3,2,3]=>[1,2,3,2,3]
[1,2,3,3,2]=>[1,2,3,3,2]
[1,3,2,2,3]=>[1,2,4,2,4]
[1,3,2,3,2]=>[1,2,4,4,2]
[1,3,3,2,2]=>[3,4,1,1,4]
[2,1,2,3,3]=>[1,3,3,2,2]
[2,1,3,2,3]=>[1,3,2,3,2]
[2,1,3,3,2]=>[1,3,2,2,3]
[2,2,1,3,3]=>[1,4,4,2,2]
[2,2,3,1,3]=>[3,1,1,4,4]
[2,2,3,3,1]=>[2,1,1,3,3]
[2,3,1,2,3]=>[1,4,2,4,2]
[2,3,1,3,2]=>[1,4,2,2,4]
[2,3,2,1,3]=>[3,1,4,1,4]
[2,3,2,3,1]=>[2,1,3,1,3]
[2,3,3,1,2]=>[3,1,4,4,1]
[2,3,3,2,1]=>[2,1,3,3,1]
[3,1,2,2,3]=>[5,1,2,1,2]
[3,1,2,3,2]=>[5,1,2,2,1]
[3,1,3,2,2]=>[5,1,3,3,1]
[3,2,1,2,3]=>[5,2,1,2,1]
[3,2,1,3,2]=>[5,2,1,1,2]
[3,2,2,1,3]=>[5,3,1,3,1]
[3,2,2,3,1]=>[2,1,4,1,4]
[3,2,3,1,2]=>[5,3,1,1,3]
[3,2,3,2,1]=>[2,1,4,4,1]
[3,3,1,2,2]=>[4,1,2,2,1]
[3,3,2,1,2]=>[4,2,1,1,2]
[3,3,2,2,1]=>[4,3,1,1,3]
[1,2,2,3,4]=>[1,2,3,2,4]
[1,2,2,4,3]=>[1,2,4,2,3]
[1,2,3,2,4]=>[1,2,3,2,5]
[1,2,3,4,2]=>[2,3,4,3,1]
[1,2,4,2,3]=>[1,2,5,2,3]
[1,2,4,3,2]=>[2,3,1,4,3]
[1,3,2,2,4]=>[1,2,4,2,5]
[1,3,2,4,2]=>[2,3,5,3,1]
[1,3,4,2,2]=>[3,4,1,2,4]
[1,4,2,2,3]=>[1,2,5,2,4]
[1,4,2,3,2]=>[2,3,1,5,3]
[1,4,3,2,2]=>[3,4,2,1,4]
[2,1,2,3,4]=>[1,3,2,3,4]
[2,1,2,4,3]=>[1,3,4,3,2]
[2,1,3,2,4]=>[1,3,2,3,5]
[2,1,3,4,2]=>[2,4,3,4,1]
[2,1,4,2,3]=>[1,3,5,3,2]
[2,1,4,3,2]=>[2,4,1,3,4]
[2,2,1,3,4]=>[1,4,2,4,3]
[2,2,1,4,3]=>[1,4,3,4,2]
[2,2,3,1,4]=>[3,1,4,1,5]
[2,2,3,4,1]=>[2,1,3,1,4]
[2,2,4,1,3]=>[3,1,5,1,4]
[2,2,4,3,1]=>[2,1,4,1,3]
[2,3,1,2,4]=>[4,1,5,1,2]
[2,3,1,4,2]=>[4,1,5,1,3]
[2,3,2,1,4]=>[4,2,5,2,1]
[2,3,2,4,1]=>[2,1,3,1,5]
[2,3,4,1,2]=>[3,1,4,1,2]
[2,3,4,2,1]=>[3,2,4,2,1]
[2,4,1,2,3]=>[4,1,2,1,5]
[2,4,1,3,2]=>[4,1,3,5,1]
[2,4,2,1,3]=>[4,2,1,2,5]
[2,4,2,3,1]=>[2,1,5,1,3]
[2,4,3,1,2]=>[3,1,2,4,1]
[2,4,3,2,1]=>[3,2,1,4,2]
[3,1,2,2,4]=>[5,1,2,1,3]
[3,1,2,4,2]=>[5,1,2,1,4]
[3,1,4,2,2]=>[5,1,3,4,1]
[3,2,1,2,4]=>[5,2,1,2,3]
[3,2,1,4,2]=>[5,2,1,2,4]
[3,2,2,1,4]=>[5,3,1,3,2]
[3,2,2,4,1]=>[2,1,4,1,5]
[3,2,4,1,2]=>[3,1,5,1,2]
[3,2,4,2,1]=>[3,2,5,2,1]
[3,4,1,2,2]=>[4,1,2,3,1]
[3,4,2,1,2]=>[4,2,1,3,2]
[3,4,2,2,1]=>[4,3,1,2,3]
[4,1,2,2,3]=>[5,1,3,1,2]
[4,1,2,3,2]=>[5,1,4,2,1]
[4,1,3,2,2]=>[5,1,4,3,1]
[4,2,1,2,3]=>[5,2,3,2,1]
[4,2,1,3,2]=>[5,2,4,1,2]
[4,2,2,1,3]=>[5,3,2,3,1]
[4,2,2,3,1]=>[2,1,5,1,4]
[4,2,3,1,2]=>[3,1,2,5,1]
[4,2,3,2,1]=>[3,2,1,5,2]
[4,3,1,2,2]=>[4,1,3,2,1]
[4,3,2,1,2]=>[4,2,3,1,2]
[4,3,2,2,1]=>[4,3,2,1,3]
[1,2,2,3,5]=>[1,2,2,3,5]
[1,2,2,5,3]=>[2,3,3,4,1]
[1,2,3,2,5]=>[1,2,2,3,4]
[1,2,3,5,2]=>[1,2,4,3,2]
[1,2,5,2,3]=>[2,3,1,3,4]
[1,2,5,3,2]=>[1,2,5,3,2]
[1,3,2,2,5]=>[1,2,2,4,3]
[1,3,2,5,2]=>[1,2,3,4,2]
[1,3,5,2,2]=>[1,2,3,5,2]
[1,5,2,2,3]=>[2,3,1,3,5]
[1,5,2,3,2]=>[1,2,5,4,2]
[1,5,3,2,2]=>[1,2,4,5,2]
[2,1,2,3,5]=>[1,3,3,2,5]
[2,1,2,5,3]=>[2,4,4,3,1]
[2,1,3,2,5]=>[1,3,3,2,4]
[2,1,3,5,2]=>[1,3,4,2,3]
[2,1,5,2,3]=>[2,4,1,4,3]
[2,1,5,3,2]=>[1,3,5,2,3]
[2,2,1,3,5]=>[4,1,1,5,2]
[2,2,1,5,3]=>[4,1,1,5,3]
[2,2,3,1,5]=>[4,2,2,5,1]
[2,2,3,5,1]=>[2,1,1,5,3]
[2,2,5,1,3]=>[3,1,1,2,4]
[2,2,5,3,1]=>[3,2,2,1,4]
[2,3,1,2,5]=>[1,4,4,2,3]
[2,3,1,5,2]=>[1,4,3,2,4]
[2,3,2,1,5]=>[3,1,1,4,5]
[2,3,2,5,1]=>[2,1,1,4,3]
[2,3,5,1,2]=>[3,1,5,4,1]
[2,3,5,2,1]=>[2,1,4,3,1]
[2,5,1,2,3]=>[4,1,3,1,5]
[2,5,1,3,2]=>[4,1,2,5,1]
[2,5,2,1,3]=>[3,1,2,1,4]
[2,5,2,3,1]=>[3,2,1,2,4]
[2,5,3,1,2]=>[4,2,1,5,2]
[2,5,3,2,1]=>[2,1,5,3,1]
[3,1,2,2,5]=>[1,3,3,4,2]
[3,1,2,5,2]=>[1,3,2,4,3]
[3,1,5,2,2]=>[1,3,2,5,3]
[3,2,1,2,5]=>[1,4,4,3,2]
[3,2,1,5,2]=>[1,4,2,3,4]
[3,2,2,1,5]=>[3,1,1,5,4]
[3,2,2,5,1]=>[2,1,1,3,4]
[3,2,5,1,2]=>[3,1,4,5,1]
[3,2,5,2,1]=>[2,1,3,4,1]
[3,5,1,2,2]=>[4,1,5,2,1]
[3,5,2,1,2]=>[4,2,5,1,2]
[3,5,2,2,1]=>[2,1,3,5,1]
[5,1,2,2,3]=>[5,1,4,1,2]
[5,1,2,3,2]=>[5,1,3,2,1]
[5,1,3,2,2]=>[5,1,2,3,1]
[5,2,1,2,3]=>[5,2,4,2,1]
[5,2,1,3,2]=>[5,2,3,1,2]
[5,2,2,1,3]=>[3,1,2,1,5]
[5,2,2,3,1]=>[3,2,1,2,5]
[5,2,3,1,2]=>[5,3,2,1,3]
[5,2,3,2,1]=>[2,1,5,4,1]
[5,3,1,2,2]=>[5,2,1,3,2]
[5,3,2,1,2]=>[5,3,1,2,3]
[5,3,2,2,1]=>[2,1,4,5,1]
[1,2,2,4,4]=>[1,2,2,4,4]
[1,2,4,2,4]=>[3,4,4,1,1]
[1,2,4,4,2]=>[2,3,3,1,1]
[1,4,2,2,4]=>[3,4,1,4,1]
[1,4,2,4,2]=>[2,3,1,3,1]
[1,4,4,2,2]=>[2,3,1,1,3]
[2,1,2,4,4]=>[5,1,1,2,2]
[2,1,4,2,4]=>[5,1,1,3,3]
[2,1,4,4,2]=>[2,4,4,1,1]
[2,2,1,4,4]=>[5,2,2,1,1]
[2,2,4,1,4]=>[5,3,3,1,1]
[2,2,4,4,1]=>[2,1,1,4,4]
[2,4,1,2,4]=>[4,1,1,2,2]
[2,4,1,4,2]=>[4,1,1,3,3]
[2,4,2,1,4]=>[4,2,2,1,1]
[2,4,2,4,1]=>[4,3,3,1,1]
[2,4,4,1,2]=>[3,1,1,2,2]
[2,4,4,2,1]=>[3,2,2,1,1]
[4,1,2,2,4]=>[5,1,3,1,3]
[4,1,2,4,2]=>[2,4,1,4,1]
[4,1,4,2,2]=>[2,4,1,1,4]
[4,2,1,2,4]=>[4,1,2,1,2]
[4,2,1,4,2]=>[4,1,3,1,3]
[4,2,2,1,4]=>[4,2,1,2,1]
[4,2,2,4,1]=>[4,3,1,3,1]
[4,2,4,1,2]=>[3,1,2,1,2]
[4,2,4,2,1]=>[3,2,1,2,1]
[4,4,1,2,2]=>[4,1,3,3,1]
[4,4,2,1,2]=>[3,1,2,2,1]
[4,4,2,2,1]=>[3,2,1,1,2]
[1,2,2,4,5]=>[1,2,2,4,5]
[1,2,2,5,4]=>[2,3,3,5,1]
[1,2,4,2,5]=>[1,2,2,5,4]
[1,2,4,5,2]=>[2,3,3,1,5]
[1,2,5,2,4]=>[3,4,4,1,2]
[1,2,5,4,2]=>[3,4,4,2,1]
[1,4,2,2,5]=>[1,2,2,5,3]
[1,4,2,5,2]=>[2,3,3,1,4]
[1,4,5,2,2]=>[2,3,4,1,3]
[1,5,2,2,4]=>[3,4,2,4,1]
[1,5,2,4,2]=>[3,4,1,4,2]
[1,5,4,2,2]=>[2,3,5,1,3]
[2,1,2,4,5]=>[5,1,1,2,3]
[2,1,2,5,4]=>[5,1,1,2,4]
[2,1,4,2,5]=>[5,1,1,3,2]
[2,1,4,5,2]=>[5,1,1,4,2]
[2,1,5,2,4]=>[5,1,1,3,4]
[2,1,5,4,2]=>[5,1,1,4,3]
[2,2,1,4,5]=>[5,2,2,1,3]
[2,2,1,5,4]=>[5,2,2,1,4]
[2,2,4,1,5]=>[5,3,3,1,2]
[2,2,4,5,1]=>[2,1,1,5,4]
[2,2,5,1,4]=>[3,1,1,2,5]
[2,2,5,4,1]=>[3,2,2,1,5]
[2,4,1,2,5]=>[5,2,2,3,1]
[2,4,1,5,2]=>[5,2,2,4,1]
[2,4,2,1,5]=>[5,3,3,2,1]
[2,4,2,5,1]=>[2,1,1,4,5]
[2,4,5,1,2]=>[3,1,1,5,2]
[2,4,5,2,1]=>[3,2,2,5,1]
[2,5,1,2,4]=>[4,1,1,3,2]
[2,5,1,4,2]=>[4,1,1,2,3]
[2,5,2,1,4]=>[4,2,2,3,1]
[2,5,2,4,1]=>[4,3,3,2,1]
[2,5,4,1,2]=>[4,2,2,1,3]
[2,5,4,2,1]=>[4,3,3,1,2]
[4,1,2,2,5]=>[1,3,3,5,2]
[4,1,2,5,2]=>[2,4,4,1,3]
[4,1,5,2,2]=>[2,4,3,1,4]
[4,2,1,2,5]=>[4,1,1,2,5]
[4,2,1,5,2]=>[4,1,1,3,5]
[4,2,2,1,5]=>[4,2,2,1,5]
[4,2,2,5,1]=>[2,1,1,3,5]
[4,2,5,1,2]=>[3,1,1,4,2]
[4,2,5,2,1]=>[3,2,2,4,1]
[4,5,1,2,2]=>[4,1,5,3,1]
[4,5,2,1,2]=>[3,1,4,2,1]
[4,5,2,2,1]=>[3,2,4,1,2]
[5,1,2,2,4]=>[5,1,4,1,3]
[5,1,2,4,2]=>[5,1,3,1,4]
[5,1,4,2,2]=>[5,1,2,4,1]
[5,2,1,2,4]=>[4,1,3,1,2]
[5,2,1,4,2]=>[4,1,2,1,3]
[5,2,2,1,4]=>[4,2,3,2,1]
[5,2,2,4,1]=>[4,3,2,3,1]
[5,2,4,1,2]=>[4,2,1,2,3]
[5,2,4,2,1]=>[4,3,1,3,2]
[5,4,1,2,2]=>[5,2,1,4,2]
[5,4,2,1,2]=>[3,1,5,2,1]
[5,4,2,2,1]=>[3,2,5,1,2]
[1,2,3,3,3]=>[1,2,3,3,3]
[1,3,2,3,3]=>[4,5,1,1,1]
[1,3,3,2,3]=>[3,4,1,1,1]
[1,3,3,3,2]=>[2,3,1,1,1]
[2,1,3,3,3]=>[1,3,2,2,2]
[2,3,1,3,3]=>[1,4,2,2,2]
[2,3,3,1,3]=>[1,5,2,2,2]
[2,3,3,3,1]=>[2,1,3,3,3]
[3,1,2,3,3]=>[5,1,2,2,2]
[3,1,3,2,3]=>[3,5,1,1,1]
[3,1,3,3,2]=>[2,4,1,1,1]
[3,2,1,3,3]=>[5,2,1,1,1]
[3,2,3,1,3]=>[5,3,1,1,1]
[3,2,3,3,1]=>[5,4,1,1,1]
[3,3,1,2,3]=>[4,1,2,2,2]
[3,3,1,3,2]=>[2,5,1,1,1]
[3,3,2,1,3]=>[4,2,1,1,1]
[3,3,2,3,1]=>[4,3,1,1,1]
[3,3,3,1,2]=>[3,1,2,2,2]
[3,3,3,2,1]=>[3,2,1,1,1]
[1,2,3,3,4]=>[1,2,3,3,4]
[1,2,3,4,3]=>[1,2,3,4,3]
[1,2,4,3,3]=>[1,2,3,5,3]
[1,3,2,3,4]=>[1,2,4,4,3]
[1,3,2,4,3]=>[1,2,4,3,4]
[1,3,3,2,4]=>[3,4,1,1,5]
[1,3,3,4,2]=>[2,3,1,1,4]
[1,3,4,2,3]=>[3,4,1,5,1]
[1,3,4,3,2]=>[2,3,1,4,1]
[1,4,2,3,3]=>[4,5,1,2,1]
[1,4,3,2,3]=>[4,5,2,1,2]
[1,4,3,3,2]=>[2,3,1,5,1]
[2,1,3,3,4]=>[1,3,2,2,4]
[2,1,3,4,3]=>[1,3,2,4,2]
[2,1,4,3,3]=>[1,3,2,5,2]
[2,3,1,3,4]=>[1,4,2,2,3]
[2,3,1,4,3]=>[1,4,2,3,2]
[2,3,3,1,4]=>[1,5,2,2,3]
[2,3,3,4,1]=>[2,1,3,4,3]
[2,3,4,1,3]=>[1,5,3,2,2]
[2,3,4,3,1]=>[2,1,4,3,3]
[2,4,1,3,3]=>[1,4,5,2,2]
[2,4,3,1,3]=>[1,5,4,2,2]
[2,4,3,3,1]=>[2,1,5,3,3]
[3,1,2,3,4]=>[1,3,4,4,2]
[3,1,2,4,3]=>[1,3,4,2,4]
[3,1,3,2,4]=>[3,5,1,1,4]
[3,1,3,4,2]=>[2,4,1,1,3]
[3,1,4,2,3]=>[3,5,1,4,1]
[3,1,4,3,2]=>[2,4,1,3,1]
[3,2,1,3,4]=>[1,4,3,3,2]
[3,2,1,4,3]=>[1,4,3,2,3]
[3,2,3,1,4]=>[1,5,3,3,2]
[3,2,3,4,1]=>[2,1,4,3,4]
[3,2,4,1,3]=>[1,5,2,3,3]
[3,2,4,3,1]=>[2,1,3,4,4]
[3,3,1,2,4]=>[4,1,2,2,5]
[3,3,1,4,2]=>[2,5,1,1,3]
[3,3,2,1,4]=>[4,2,1,1,5]
[3,3,2,4,1]=>[4,3,1,5,1]
[3,3,4,1,2]=>[3,1,2,4,2]
[3,3,4,2,1]=>[3,2,1,4,1]
[3,4,1,2,3]=>[4,1,5,2,2]
[3,4,1,3,2]=>[2,5,3,1,1]
[3,4,2,1,3]=>[4,2,5,1,1]
[3,4,2,3,1]=>[4,3,5,1,1]
[3,4,3,1,2]=>[3,1,4,2,2]
[3,4,3,2,1]=>[3,2,4,1,1]
[4,1,2,3,3]=>[5,1,3,2,2]
[4,1,3,2,3]=>[5,1,2,3,3]
[4,1,3,3,2]=>[2,4,5,1,1]
[4,2,1,3,3]=>[5,2,3,1,1]
[4,2,3,1,3]=>[5,3,2,1,1]
[4,2,3,3,1]=>[5,4,2,1,1]
[4,3,1,2,3]=>[5,2,1,3,3]
[4,3,1,3,2]=>[2,5,4,1,1]
[4,3,2,1,3]=>[5,3,1,2,2]
[4,3,2,3,1]=>[5,4,1,2,2]
[4,3,3,1,2]=>[3,1,5,2,2]
[4,3,3,2,1]=>[3,2,5,1,1]
[1,2,3,3,5]=>[1,2,3,3,5]
[1,2,3,5,3]=>[2,3,4,4,1]
[1,2,5,3,3]=>[2,3,4,1,4]
[1,3,2,3,5]=>[4,5,1,1,2]
[1,3,2,5,3]=>[4,5,1,1,3]
[1,3,3,2,5]=>[4,5,2,2,1]
[1,3,3,5,2]=>[2,3,1,1,5]
[1,3,5,2,3]=>[3,4,1,1,2]
[1,3,5,3,2]=>[3,4,2,2,1]
[1,5,2,3,3]=>[4,5,1,3,1]
[1,5,3,2,3]=>[3,4,1,2,1]
[1,5,3,3,2]=>[3,4,2,1,2]
[2,1,3,3,5]=>[1,3,2,2,5]
[2,1,3,5,3]=>[2,4,3,3,1]
[2,1,5,3,3]=>[2,4,3,1,3]
[2,3,1,3,5]=>[1,4,2,2,5]
[2,3,1,5,3]=>[2,5,3,3,1]
[2,3,3,1,5]=>[1,5,2,2,4]
[2,3,3,5,1]=>[2,1,3,5,3]
[2,3,5,1,3]=>[3,1,4,2,4]
[2,3,5,3,1]=>[3,2,4,1,4]
[2,5,1,3,3]=>[2,5,1,3,3]
[2,5,3,1,3]=>[3,1,2,4,4]
[2,5,3,3,1]=>[3,2,1,4,4]
[3,1,2,3,5]=>[5,1,2,2,3]
[3,1,2,5,3]=>[5,1,2,2,4]
[3,1,3,2,5]=>[5,1,3,3,2]
[3,1,3,5,2]=>[2,4,1,1,5]
[3,1,5,2,3]=>[3,5,1,1,2]
[3,1,5,3,2]=>[3,5,2,2,1]
[3,2,1,3,5]=>[5,2,1,1,3]
[3,2,1,5,3]=>[5,2,1,1,4]
[3,2,3,1,5]=>[5,3,1,1,2]
[3,2,3,5,1]=>[5,4,1,2,1]
[3,2,5,1,3]=>[5,3,1,4,1]
[3,2,5,3,1]=>[5,4,1,3,1]
[3,3,1,2,5]=>[5,2,3,3,1]
[3,3,1,5,2]=>[2,5,1,1,4]
[3,3,2,1,5]=>[5,3,2,2,1]
[3,3,2,5,1]=>[5,4,2,1,2]
[3,3,5,1,2]=>[3,1,2,5,2]
[3,3,5,2,1]=>[3,2,1,5,1]
[3,5,1,2,3]=>[4,1,2,3,2]
[3,5,1,3,2]=>[4,1,3,2,3]
[3,5,2,1,3]=>[4,2,1,3,1]
[3,5,2,3,1]=>[4,3,1,2,1]
[3,5,3,1,2]=>[4,2,3,1,3]
[3,5,3,2,1]=>[4,3,2,1,2]
[5,1,2,3,3]=>[5,1,4,2,2]
[5,1,3,2,3]=>[3,5,2,1,1]
[5,1,3,3,2]=>[3,5,1,2,2]
[5,2,1,3,3]=>[5,2,4,1,1]
[5,2,3,1,3]=>[5,3,4,1,1]
[5,2,3,3,1]=>[5,4,3,1,1]
[5,3,1,2,3]=>[4,1,3,2,2]
[5,3,1,3,2]=>[4,1,2,3,3]
[5,3,2,1,3]=>[4,2,3,1,1]
[5,3,2,3,1]=>[4,3,2,1,1]
[5,3,3,1,2]=>[4,2,1,3,3]
[5,3,3,2,1]=>[4,3,1,2,2]
[1,2,3,4,4]=>[1,2,3,4,4]
[1,2,4,3,4]=>[3,4,5,1,1]
[1,2,4,4,3]=>[2,3,4,1,1]
[1,3,2,4,4]=>[1,2,4,3,3]
[1,3,4,2,4]=>[1,2,5,3,3]
[1,3,4,4,2]=>[2,3,1,4,4]
[1,4,2,3,4]=>[4,5,1,2,2]
[1,4,2,4,3]=>[2,3,5,1,1]
[1,4,3,2,4]=>[4,5,2,1,1]
[1,4,3,4,2]=>[4,5,3,1,1]
[1,4,4,2,3]=>[3,4,1,2,2]
[1,4,4,3,2]=>[3,4,2,1,1]
[2,1,3,4,4]=>[1,3,2,4,4]
[2,1,4,3,4]=>[3,5,4,1,1]
[2,1,4,4,3]=>[2,4,3,1,1]
[2,3,1,4,4]=>[1,4,2,3,3]
[2,3,4,1,4]=>[1,5,3,2,3]
[2,3,4,4,1]=>[2,1,4,4,3]
[2,4,1,3,4]=>[4,1,2,5,2]
[2,4,1,4,3]=>[2,5,1,3,1]
[2,4,3,1,4]=>[4,2,1,5,1]
[2,4,3,4,1]=>[4,3,1,1,5]
[2,4,4,1,3]=>[3,1,2,2,4]
[2,4,4,3,1]=>[3,2,1,1,4]
[3,1,2,4,4]=>[1,3,4,2,2]
[3,1,4,2,4]=>[1,3,5,2,2]
[3,1,4,4,2]=>[2,4,1,3,3]
[3,2,1,4,4]=>[1,4,3,2,2]
[3,2,4,1,4]=>[1,5,2,3,2]
[3,2,4,4,1]=>[2,1,3,3,4]
[3,4,1,2,4]=>[1,4,2,5,2]
[3,4,1,4,2]=>[2,5,3,1,3]
[3,4,2,1,4]=>[1,5,2,4,2]
[3,4,2,4,1]=>[2,1,3,3,5]
[3,4,4,1,2]=>[3,1,4,4,2]
[3,4,4,2,1]=>[3,2,4,4,1]
[4,1,2,3,4]=>[5,1,3,2,3]
[4,1,2,4,3]=>[2,4,1,5,1]
[4,1,3,2,4]=>[5,1,2,3,2]
[4,1,3,4,2]=>[5,1,2,4,2]
[4,1,4,2,3]=>[3,5,2,1,2]
[4,1,4,3,2]=>[3,5,1,2,1]
[4,2,1,3,4]=>[5,2,3,1,3]
[4,2,1,4,3]=>[2,5,1,4,1]
[4,2,3,1,4]=>[5,3,2,1,2]
[4,2,3,4,1]=>[5,4,2,2,1]
[4,2,4,1,3]=>[3,1,2,2,5]
[4,2,4,3,1]=>[3,2,1,1,5]
[4,3,1,2,4]=>[5,2,1,3,1]
[4,3,1,4,2]=>[5,2,1,4,1]
[4,3,2,1,4]=>[5,3,1,2,1]
[4,3,2,4,1]=>[5,4,1,1,2]
[4,3,4,1,2]=>[5,3,1,1,4]
[4,3,4,2,1]=>[5,4,1,1,3]
[4,4,1,2,3]=>[4,1,3,3,2]
[4,4,1,3,2]=>[4,1,2,2,3]
[4,4,2,1,3]=>[4,2,3,3,1]
[4,4,2,3,1]=>[4,3,2,2,1]
[4,4,3,1,2]=>[4,2,1,1,3]
[4,4,3,2,1]=>[4,3,1,1,2]
[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,5,4]=>[2,3,4,5,1]
[1,2,4,3,5]=>[1,2,3,5,4]
[1,2,4,5,3]=>[2,3,4,1,5]
[1,2,5,3,4]=>[3,4,5,1,2]
[1,2,5,4,3]=>[3,4,5,2,1]
[1,3,2,4,5]=>[1,2,4,3,5]
[1,3,2,5,4]=>[2,3,5,4,1]
[1,3,4,2,5]=>[1,2,5,3,4]
[1,3,4,5,2]=>[2,3,1,5,4]
[1,3,5,2,4]=>[3,4,1,2,5]
[1,3,5,4,2]=>[3,4,2,1,5]
[1,4,2,3,5]=>[1,2,4,5,3]
[1,4,2,5,3]=>[2,3,5,1,4]
[1,4,3,2,5]=>[1,2,5,4,3]
[1,4,3,5,2]=>[2,3,1,4,5]
[1,4,5,2,3]=>[3,4,1,5,2]
[1,4,5,3,2]=>[3,4,2,5,1]
[1,5,2,3,4]=>[4,5,1,3,2]
[1,5,2,4,3]=>[4,5,1,2,3]
[1,5,3,2,4]=>[4,5,2,3,1]
[1,5,3,4,2]=>[4,5,3,2,1]
[1,5,4,2,3]=>[4,5,2,1,3]
[1,5,4,3,2]=>[4,5,3,1,2]
[2,1,3,4,5]=>[1,3,2,4,5]
[2,1,3,5,4]=>[2,4,3,5,1]
[2,1,4,3,5]=>[1,3,2,5,4]
[2,1,4,5,3]=>[2,4,3,1,5]
[2,1,5,3,4]=>[3,5,4,1,2]
[2,1,5,4,3]=>[3,5,4,2,1]
[2,3,1,4,5]=>[1,4,2,3,5]
[2,3,1,5,4]=>[2,5,3,4,1]
[2,3,4,1,5]=>[1,5,2,3,4]
[2,3,4,5,1]=>[2,1,5,4,3]
[2,3,5,1,4]=>[3,1,2,4,5]
[2,3,5,4,1]=>[3,2,1,5,4]
[2,4,1,3,5]=>[1,4,2,5,3]
[2,4,1,5,3]=>[2,5,3,1,4]
[2,4,3,1,5]=>[1,5,2,4,3]
[2,4,3,5,1]=>[2,1,4,5,3]
[2,4,5,1,3]=>[3,1,5,2,4]
[2,4,5,3,1]=>[3,2,5,1,4]
[2,5,1,3,4]=>[4,1,3,5,2]
[2,5,1,4,3]=>[4,1,2,5,3]
[2,5,3,1,4]=>[4,2,3,5,1]
[2,5,3,4,1]=>[4,3,2,1,5]
[2,5,4,1,3]=>[4,2,1,3,5]
[2,5,4,3,1]=>[4,3,1,2,5]
[3,1,2,4,5]=>[1,3,4,2,5]
[3,1,2,5,4]=>[2,4,5,3,1]
[3,1,4,2,5]=>[1,3,5,2,4]
[3,1,4,5,2]=>[2,4,1,5,3]
[3,1,5,2,4]=>[3,5,1,2,4]
[3,1,5,4,2]=>[3,5,2,1,4]
[3,2,1,4,5]=>[1,4,3,2,5]
[3,2,1,5,4]=>[2,5,4,3,1]
[3,2,4,1,5]=>[1,5,3,2,4]
[3,2,4,5,1]=>[2,1,5,3,4]
[3,2,5,1,4]=>[3,1,2,5,4]
[3,2,5,4,1]=>[3,2,1,4,5]
[3,4,1,2,5]=>[1,4,5,2,3]
[3,4,1,5,2]=>[2,5,1,4,3]
[3,4,2,1,5]=>[1,5,4,2,3]
[3,4,2,5,1]=>[2,1,4,3,5]
[3,4,5,1,2]=>[3,1,5,4,2]
[3,4,5,2,1]=>[3,2,5,4,1]
[3,5,1,2,4]=>[4,1,3,2,5]
[3,5,1,4,2]=>[4,1,2,3,5]
[3,5,2,1,4]=>[4,2,3,1,5]
[3,5,2,4,1]=>[4,3,2,5,1]
[3,5,4,1,2]=>[4,2,1,5,3]
[3,5,4,2,1]=>[4,3,1,5,2]
[4,1,2,3,5]=>[1,3,4,5,2]
[4,1,2,5,3]=>[2,4,5,1,3]
[4,1,3,2,5]=>[1,3,5,4,2]
[4,1,3,5,2]=>[2,4,1,3,5]
[4,1,5,2,3]=>[3,5,1,4,2]
[4,1,5,3,2]=>[3,5,2,4,1]
[4,2,1,3,5]=>[1,4,3,5,2]
[4,2,1,5,3]=>[2,5,4,1,3]
[4,2,3,1,5]=>[1,5,3,4,2]
[4,2,3,5,1]=>[2,1,3,5,4]
[4,2,5,1,3]=>[3,1,4,2,5]
[4,2,5,3,1]=>[3,2,4,1,5]
[4,3,1,2,5]=>[1,4,5,3,2]
[4,3,1,5,2]=>[2,5,1,3,4]
[4,3,2,1,5]=>[1,5,4,3,2]
[4,3,2,5,1]=>[2,1,3,4,5]
[4,3,5,1,2]=>[3,1,4,5,2]
[4,3,5,2,1]=>[3,2,4,5,1]
[4,5,1,2,3]=>[4,1,5,3,2]
[4,5,1,3,2]=>[4,1,5,2,3]
[4,5,2,1,3]=>[4,2,5,3,1]
[4,5,2,3,1]=>[4,3,5,2,1]
[4,5,3,1,2]=>[4,2,5,1,3]
[4,5,3,2,1]=>[4,3,5,1,2]
[5,1,2,3,4]=>[5,1,4,2,3]
[5,1,2,4,3]=>[5,1,3,2,4]
[5,1,3,2,4]=>[5,1,4,3,2]
[5,1,3,4,2]=>[5,1,3,4,2]
[5,1,4,2,3]=>[5,1,2,3,4]
[5,1,4,3,2]=>[5,1,2,4,3]
[5,2,1,3,4]=>[5,2,4,1,3]
[5,2,1,4,3]=>[5,2,3,1,4]
[5,2,3,1,4]=>[5,3,4,1,2]
[5,2,3,4,1]=>[5,4,3,2,1]
[5,2,4,1,3]=>[5,3,2,4,1]
[5,2,4,3,1]=>[5,4,2,3,1]
[5,3,1,2,4]=>[5,2,4,3,1]
[5,3,1,4,2]=>[5,2,3,4,1]
[5,3,2,1,4]=>[5,3,4,2,1]
[5,3,2,4,1]=>[5,4,3,1,2]
[5,3,4,1,2]=>[5,3,2,1,4]
[5,3,4,2,1]=>[5,4,2,1,3]
[5,4,1,2,3]=>[5,2,1,4,3]
[5,4,1,3,2]=>[5,2,1,3,4]
[5,4,2,1,3]=>[5,3,1,4,2]
[5,4,2,3,1]=>[5,4,1,3,2]
[5,4,3,1,2]=>[5,3,1,2,4]
[5,4,3,2,1]=>[5,4,1,2,3]
[1,1,1,1,1,1]=>[1,1,1,1,1,1]
[1,1,1,1,1,2]=>[1,1,1,1,1,2]
[1,1,1,1,2,1]=>[1,1,1,1,2,1]
[1,1,1,2,1,1]=>[1,1,1,2,1,1]
[1,1,2,1,1,1]=>[1,1,2,1,1,1]
[1,2,1,1,1,1]=>[1,2,1,1,1,1]
[2,1,1,1,1,1]=>[1,3,1,1,1,1]
[1,1,1,1,1,3]=>[1,1,1,1,1,3]
[1,1,1,1,3,1]=>[1,1,1,1,3,1]
[1,1,1,3,1,1]=>[1,1,1,3,1,1]
[1,1,3,1,1,1]=>[1,1,3,1,1,1]
[1,3,1,1,1,1]=>[1,1,4,1,1,1]
[3,1,1,1,1,1]=>[1,4,1,1,1,1]
[1,1,1,1,1,4]=>[1,1,1,1,1,4]
[1,1,1,1,4,1]=>[1,1,1,1,4,1]
[1,1,1,4,1,1]=>[1,1,1,4,1,1]
[1,1,4,1,1,1]=>[1,1,1,5,1,1]
[1,4,1,1,1,1]=>[1,1,5,1,1,1]
[4,1,1,1,1,1]=>[1,5,1,1,1,1]
[1,1,1,1,1,5]=>[1,1,1,1,1,5]
[1,1,1,1,5,1]=>[1,1,1,1,5,1]
[1,1,1,5,1,1]=>[1,1,1,1,6,1]
[1,1,5,1,1,1]=>[1,1,1,6,1,1]
[1,5,1,1,1,1]=>[1,1,6,1,1,1]
[5,1,1,1,1,1]=>[1,6,1,1,1,1]
[1,1,1,1,1,6]=>[1,1,1,1,1,6]
[1,1,1,1,6,1]=>[2,2,2,2,2,1]
[1,1,1,6,1,1]=>[2,2,2,2,1,2]
[1,1,6,1,1,1]=>[2,2,2,1,2,2]
[1,6,1,1,1,1]=>[2,2,1,2,2,2]
[6,1,1,1,1,1]=>[2,1,2,2,2,2]
[1,1,1,1,2,2]=>[1,1,1,1,2,2]
[1,1,1,2,1,2]=>[1,1,1,2,1,2]
[1,1,1,2,2,1]=>[1,1,1,2,2,1]
[1,1,2,1,1,2]=>[1,1,2,1,1,2]
[1,1,2,1,2,1]=>[1,1,2,1,2,1]
[1,1,2,2,1,1]=>[1,1,2,2,1,1]
[1,2,1,1,1,2]=>[1,2,1,1,1,2]
[1,2,1,1,2,1]=>[1,2,1,1,2,1]
[1,2,1,2,1,1]=>[1,2,1,2,1,1]
[1,2,2,1,1,1]=>[1,2,2,1,1,1]
[2,1,1,1,1,2]=>[1,3,1,1,1,3]
[2,1,1,1,2,1]=>[1,3,1,1,3,1]
[2,1,1,2,1,1]=>[1,3,1,3,1,1]
[2,1,2,1,1,1]=>[1,3,3,1,1,1]
[2,2,1,1,1,1]=>[1,4,4,1,1,1]
[1,1,1,1,2,3]=>[1,1,1,2,1,3]
[1,1,1,1,3,2]=>[1,1,1,3,1,2]
[1,1,1,2,1,3]=>[1,1,2,1,1,3]
[1,1,1,2,3,1]=>[1,1,2,1,3,1]
[1,1,1,3,1,2]=>[1,1,3,1,1,2]
[1,1,1,3,2,1]=>[1,1,3,1,2,1]
[1,1,2,1,1,3]=>[1,2,1,1,1,3]
[1,1,2,1,3,1]=>[1,2,1,1,3,1]
[1,1,2,3,1,1]=>[1,2,1,3,1,1]
[1,1,3,1,1,2]=>[1,3,1,1,1,2]
[1,1,3,1,2,1]=>[1,3,1,1,2,1]
[1,1,3,2,1,1]=>[1,3,1,2,1,1]
[1,2,1,1,1,3]=>[1,2,1,1,1,4]
[1,2,1,1,3,1]=>[1,2,1,1,4,1]
[1,2,1,3,1,1]=>[1,2,1,4,1,1]
[1,2,3,1,1,1]=>[1,2,1,5,1,1]
[1,3,1,1,1,2]=>[1,4,1,1,1,2]
[1,3,1,1,2,1]=>[1,4,1,1,2,1]
[1,3,1,2,1,1]=>[1,4,1,2,1,1]
[1,3,2,1,1,1]=>[1,5,2,1,1,1]
[2,1,1,1,1,3]=>[1,3,1,1,1,4]
[2,1,1,1,3,1]=>[1,3,1,1,4,1]
[2,1,1,3,1,1]=>[1,3,1,4,1,1]
[2,1,3,1,1,1]=>[1,3,1,5,1,1]
[2,3,1,1,1,1]=>[1,4,5,1,1,1]
[3,1,1,1,1,2]=>[1,4,1,1,1,3]
[3,1,1,1,2,1]=>[1,4,1,1,3,1]
[3,1,1,2,1,1]=>[1,4,1,3,1,1]
[3,1,2,1,1,1]=>[1,5,3,1,1,1]
[3,2,1,1,1,1]=>[1,5,4,1,1,1]
[1,1,1,1,2,4]=>[1,1,1,2,1,4]
[1,1,1,1,4,2]=>[1,1,1,4,1,2]
[1,1,1,2,1,4]=>[1,1,2,1,1,4]
[1,1,1,2,4,1]=>[1,1,2,1,4,1]
[1,1,1,4,1,2]=>[1,1,4,1,1,2]
[1,1,1,4,2,1]=>[1,1,4,1,2,1]
[1,1,2,1,1,4]=>[1,1,2,1,1,5]
[1,1,2,1,4,1]=>[1,1,2,1,5,1]
[1,1,2,4,1,1]=>[1,1,2,1,6,1]
[1,1,4,1,1,2]=>[1,1,5,1,1,2]
[1,1,4,1,2,1]=>[1,1,5,1,2,1]
[1,1,4,2,1,1]=>[1,1,6,2,1,1]
[1,2,1,1,1,4]=>[1,2,1,1,1,5]
[1,2,1,1,4,1]=>[1,2,1,1,5,1]
[1,2,1,4,1,1]=>[1,2,1,1,6,1]
[1,2,4,1,1,1]=>[1,2,1,6,1,1]
[1,4,1,1,1,2]=>[1,5,1,1,1,2]
[1,4,1,1,2,1]=>[1,5,1,1,2,1]
[1,4,1,2,1,1]=>[1,6,1,2,1,1]
[1,4,2,1,1,1]=>[1,6,2,1,1,1]
[2,1,1,1,1,4]=>[1,3,1,1,1,5]
[2,1,1,1,4,1]=>[1,3,1,1,5,1]
[2,1,1,4,1,1]=>[1,3,1,1,6,1]
[2,1,4,1,1,1]=>[1,3,1,6,1,1]
[2,4,1,1,1,1]=>[1,4,6,1,1,1]
[4,1,1,1,1,2]=>[1,5,1,1,1,3]
[4,1,1,1,2,1]=>[1,5,1,1,3,1]
[4,1,1,2,1,1]=>[1,6,1,3,1,1]
[4,1,2,1,1,1]=>[1,6,3,1,1,1]
[4,2,1,1,1,1]=>[1,6,4,1,1,1]
[1,1,1,1,2,5]=>[1,1,1,2,1,5]
[1,1,1,1,5,2]=>[1,1,1,5,1,2]
[1,1,1,2,1,5]=>[1,1,1,2,1,6]
[1,1,1,2,5,1]=>[2,2,2,3,2,1]
[1,1,1,5,1,2]=>[1,1,1,6,1,2]
[1,1,1,5,2,1]=>[2,2,2,1,3,2]
[1,1,2,1,1,5]=>[1,1,2,1,1,6]
[1,1,2,1,5,1]=>[2,2,3,2,2,1]
[1,1,2,5,1,1]=>[2,2,3,2,1,2]
[1,1,5,1,1,2]=>[1,1,6,1,1,2]
[1,1,5,1,2,1]=>[2,2,1,2,3,2]
[1,1,5,2,1,1]=>[2,2,1,3,2,2]
[1,2,1,1,1,5]=>[1,2,1,1,1,6]
[1,2,1,1,5,1]=>[2,3,2,2,2,1]
[1,2,1,5,1,1]=>[2,3,2,2,1,2]
[1,2,5,1,1,1]=>[2,3,2,1,2,2]
[1,5,1,1,1,2]=>[1,6,1,1,1,2]
[1,5,1,1,2,1]=>[2,1,2,2,3,2]
[1,5,1,2,1,1]=>[2,1,2,3,2,2]
[1,5,2,1,1,1]=>[2,1,3,2,2,2]
[2,1,1,1,1,5]=>[1,3,1,1,1,6]
[2,1,1,1,5,1]=>[2,4,2,2,2,1]
[2,1,1,5,1,1]=>[2,4,2,2,1,2]
[2,1,5,1,1,1]=>[2,4,2,1,2,2]
[2,5,1,1,1,1]=>[2,5,1,2,2,2]
[5,1,1,1,1,2]=>[1,6,1,1,1,3]
[5,1,1,1,2,1]=>[2,1,2,2,4,2]
[5,1,1,2,1,1]=>[2,1,2,4,2,2]
[5,1,2,1,1,1]=>[2,1,4,2,2,2]
[5,2,1,1,1,1]=>[2,1,5,2,2,2]
[1,1,1,1,2,6]=>[1,1,1,1,2,6]
[1,1,1,1,6,2]=>[2,2,2,2,3,1]
[1,1,1,2,1,6]=>[1,1,1,1,2,5]
[1,1,1,2,6,1]=>[1,1,1,5,2,1]
[1,1,1,6,1,2]=>[2,2,2,1,2,3]
[1,1,1,6,2,1]=>[1,1,1,6,2,1]
[1,1,2,1,1,6]=>[1,1,1,1,2,4]
[1,1,2,1,6,1]=>[1,1,1,4,2,1]
[1,1,2,6,1,1]=>[1,1,4,2,1,1]
[1,1,6,1,1,2]=>[2,2,1,2,2,3]
[1,1,6,1,2,1]=>[1,1,6,1,2,1]
[1,1,6,2,1,1]=>[1,1,5,2,1,1]
[1,2,1,1,1,6]=>[1,1,1,1,2,3]
[1,2,1,1,6,1]=>[1,1,1,3,2,1]
[1,2,1,6,1,1]=>[1,1,3,2,1,1]
[1,2,6,1,1,1]=>[1,3,2,1,1,1]
[1,6,1,1,1,2]=>[2,1,2,2,2,3]
[1,6,1,1,2,1]=>[1,6,1,1,2,1]
[1,6,1,2,1,1]=>[1,5,1,2,1,1]
[1,6,2,1,1,1]=>[1,4,2,1,1,1]
[2,1,1,1,1,6]=>[1,1,1,1,3,2]
[2,1,1,1,6,1]=>[1,1,1,2,3,1]
[2,1,1,6,1,1]=>[1,1,2,3,1,1]
[2,1,6,1,1,1]=>[1,2,3,1,1,1]
[2,6,1,1,1,1]=>[1,2,4,1,1,1]
[6,1,1,1,1,2]=>[2,1,2,2,2,4]
[6,1,1,1,2,1]=>[1,6,1,1,3,1]
[6,1,1,2,1,1]=>[1,5,1,3,1,1]
[6,1,2,1,1,1]=>[1,4,3,1,1,1]
[6,2,1,1,1,1]=>[1,3,4,1,1,1]
[1,1,1,1,3,3]=>[1,1,1,1,3,3]
[1,1,1,3,1,3]=>[1,1,1,3,1,3]
[1,1,1,3,3,1]=>[1,1,1,3,3,1]
[1,1,3,1,1,3]=>[1,1,3,1,1,3]
[1,1,3,1,3,1]=>[1,1,3,1,3,1]
[1,1,3,3,1,1]=>[1,1,3,3,1,1]
[1,3,1,1,1,3]=>[1,1,4,1,1,4]
[1,3,1,1,3,1]=>[1,1,4,1,4,1]
[1,3,1,3,1,1]=>[1,1,4,4,1,1]
[1,3,3,1,1,1]=>[1,1,5,5,1,1]
[3,1,1,1,1,3]=>[1,4,1,1,1,4]
[3,1,1,1,3,1]=>[1,4,1,1,4,1]
[3,1,1,3,1,1]=>[1,4,1,4,1,1]
[3,1,3,1,1,1]=>[1,5,1,5,1,1]
[3,3,1,1,1,1]=>[1,5,5,1,1,1]
[1,1,1,1,3,4]=>[1,1,1,3,1,4]
[1,1,1,1,4,3]=>[1,1,1,4,1,3]
[1,1,1,3,1,4]=>[1,1,3,1,1,4]
[1,1,1,3,4,1]=>[1,1,3,1,4,1]
[1,1,1,4,1,3]=>[1,1,4,1,1,3]
[1,1,1,4,3,1]=>[1,1,4,1,3,1]
[1,1,3,1,1,4]=>[1,1,3,1,1,5]
[1,1,3,1,4,1]=>[1,1,3,1,5,1]
[1,1,3,4,1,1]=>[1,1,3,1,6,1]
[1,1,4,1,1,3]=>[1,1,5,1,1,3]
[1,1,4,1,3,1]=>[1,1,5,1,3,1]
[1,1,4,3,1,1]=>[1,1,6,3,1,1]
[1,3,1,1,1,4]=>[1,1,4,1,1,5]
[1,3,1,1,4,1]=>[1,1,4,1,5,1]
[1,3,1,4,1,1]=>[1,1,4,1,6,1]
[1,3,4,1,1,1]=>[1,1,5,6,1,1]
[1,4,1,1,1,3]=>[1,1,5,1,1,4]
[1,4,1,1,3,1]=>[1,1,5,1,4,1]
[1,4,1,3,1,1]=>[1,1,6,4,1,1]
[1,4,3,1,1,1]=>[1,1,6,5,1,1]
[3,1,1,1,1,4]=>[1,4,1,1,1,5]
[3,1,1,1,4,1]=>[1,4,1,1,5,1]
[3,1,1,4,1,1]=>[1,4,1,1,6,1]
[3,1,4,1,1,1]=>[1,5,1,6,1,1]
[3,4,1,1,1,1]=>[1,5,6,1,1,1]
[4,1,1,1,1,3]=>[1,5,1,1,1,4]
[4,1,1,1,3,1]=>[1,5,1,1,4,1]
[4,1,1,3,1,1]=>[1,6,1,4,1,1]
[4,1,3,1,1,1]=>[1,6,1,5,1,1]
[4,3,1,1,1,1]=>[1,6,5,1,1,1]
[1,1,1,1,3,5]=>[1,1,1,3,1,5]
[1,1,1,1,5,3]=>[1,1,1,5,1,3]
[1,1,1,3,1,5]=>[1,1,1,3,1,6]
[1,1,1,3,5,1]=>[2,2,2,4,2,1]
[1,1,1,5,1,3]=>[1,1,1,6,1,3]
[1,1,1,5,3,1]=>[2,2,2,1,4,2]
[1,1,3,1,1,5]=>[1,1,3,1,1,6]
[1,1,3,1,5,1]=>[2,2,4,2,2,1]
[1,1,3,5,1,1]=>[2,2,4,2,1,2]
[1,1,5,1,1,3]=>[1,1,6,1,1,3]
[1,1,5,1,3,1]=>[2,2,1,2,4,2]
[1,1,5,3,1,1]=>[2,2,1,4,2,2]
[1,3,1,1,1,5]=>[1,1,4,1,1,6]
[1,3,1,1,5,1]=>[2,2,5,2,2,1]
[1,3,1,5,1,1]=>[2,2,5,2,1,2]
[1,3,5,1,1,1]=>[2,2,6,1,2,2]
[1,5,1,1,1,3]=>[1,1,6,1,1,4]
[1,5,1,1,3,1]=>[2,2,1,2,5,2]
[1,5,1,3,1,1]=>[2,2,1,5,2,2]
[1,5,3,1,1,1]=>[2,2,1,6,2,2]
[3,1,1,1,1,5]=>[1,4,1,1,1,6]
[3,1,1,1,5,1]=>[2,5,2,2,2,1]
[3,1,1,5,1,1]=>[2,5,2,2,1,2]
[3,1,5,1,1,1]=>[2,6,2,1,2,2]
[3,5,1,1,1,1]=>[2,6,1,2,2,2]
[5,1,1,1,1,3]=>[1,6,1,1,1,4]
[5,1,1,1,3,1]=>[2,1,2,2,5,2]
[5,1,1,3,1,1]=>[2,1,2,5,2,2]
[5,1,3,1,1,1]=>[2,1,2,6,2,2]
[5,3,1,1,1,1]=>[2,1,6,2,2,2]
[1,1,1,1,3,6]=>[1,1,1,1,3,6]
[1,1,1,1,6,3]=>[2,2,2,2,4,1]
[1,1,1,3,1,6]=>[1,1,1,1,3,5]
[1,1,1,3,6,1]=>[1,1,1,5,3,1]
[1,1,1,6,1,3]=>[2,2,2,1,2,4]
[1,1,1,6,3,1]=>[1,1,1,6,3,1]
[1,1,3,1,1,6]=>[1,1,1,1,3,4]
[1,1,3,1,6,1]=>[1,1,1,4,3,1]
[1,1,3,6,1,1]=>[1,1,4,3,1,1]
[1,1,6,1,1,3]=>[2,2,1,2,2,4]
[1,1,6,1,3,1]=>[1,1,6,1,3,1]
[1,1,6,3,1,1]=>[1,1,5,3,1,1]
[1,3,1,1,1,6]=>[1,1,1,1,4,3]
[1,3,1,1,6,1]=>[1,1,1,3,4,1]
[1,3,1,6,1,1]=>[1,1,3,4,1,1]
[1,3,6,1,1,1]=>[1,1,3,5,1,1]
[1,6,1,1,1,3]=>[2,2,1,2,2,5]
[1,6,1,1,3,1]=>[1,1,6,1,4,1]
[1,6,1,3,1,1]=>[1,1,5,4,1,1]
[1,6,3,1,1,1]=>[1,1,4,5,1,1]
[3,1,1,1,1,6]=>[1,1,1,1,4,2]
[3,1,1,1,6,1]=>[1,1,1,2,4,1]
[3,1,1,6,1,1]=>[1,1,2,4,1,1]
[3,1,6,1,1,1]=>[1,1,2,5,1,1]
[3,6,1,1,1,1]=>[1,2,5,1,1,1]
[6,1,1,1,1,3]=>[2,1,2,2,2,5]
[6,1,1,1,3,1]=>[1,6,1,1,4,1]
[6,1,1,3,1,1]=>[1,5,1,4,1,1]
[6,1,3,1,1,1]=>[1,4,1,5,1,1]
[6,3,1,1,1,1]=>[1,3,5,1,1,1]
[1,1,1,1,4,4]=>[1,1,1,1,4,4]
[1,1,1,4,1,4]=>[1,1,1,4,1,4]
[1,1,1,4,4,1]=>[1,1,1,4,4,1]
[1,1,4,1,1,4]=>[1,1,1,5,1,5]
[1,1,4,1,4,1]=>[1,1,1,5,5,1]
[1,1,4,4,1,1]=>[3,3,3,1,1,3]
[1,4,1,1,1,4]=>[1,1,5,1,1,5]
[1,4,1,1,4,1]=>[1,1,5,1,5,1]
[1,4,1,4,1,1]=>[3,3,1,3,1,3]
[1,4,4,1,1,1]=>[3,3,1,1,3,3]
[4,1,1,1,1,4]=>[1,5,1,1,1,5]
[4,1,1,1,4,1]=>[1,5,1,1,5,1]
[4,1,1,4,1,1]=>[3,1,3,3,1,3]
[4,1,4,1,1,1]=>[3,1,3,1,3,3]
[4,4,1,1,1,1]=>[3,1,1,3,3,3]
[1,1,1,1,4,5]=>[1,1,1,4,1,5]
[1,1,1,1,5,4]=>[1,1,1,5,1,4]
[1,1,1,4,1,5]=>[1,1,1,4,1,6]
[1,1,1,4,5,1]=>[2,2,2,5,2,1]
[1,1,1,5,1,4]=>[1,1,1,6,1,4]
[1,1,1,5,4,1]=>[2,2,2,1,5,2]
[1,1,4,1,1,5]=>[1,1,1,5,1,6]
[1,1,4,1,5,1]=>[2,2,2,6,2,1]
[1,1,4,5,1,1]=>[3,3,3,1,2,3]
[1,1,5,1,1,4]=>[1,1,1,6,1,5]
[1,1,5,1,4,1]=>[2,2,2,1,6,2]
[1,1,5,4,1,1]=>[3,3,3,2,1,3]
[1,4,1,1,1,5]=>[1,1,5,1,1,6]
[1,4,1,1,5,1]=>[2,2,6,2,2,1]
[1,4,1,5,1,1]=>[3,3,1,3,2,3]
[1,4,5,1,1,1]=>[3,3,1,2,3,3]
[1,5,1,1,1,4]=>[1,1,6,1,1,5]
[1,5,1,1,4,1]=>[2,2,1,2,6,2]
[1,5,1,4,1,1]=>[3,3,2,3,1,3]
[1,5,4,1,1,1]=>[3,3,2,1,3,3]
[4,1,1,1,1,5]=>[1,5,1,1,1,6]
[4,1,1,1,5,1]=>[2,6,2,2,2,1]
[4,1,1,5,1,1]=>[3,1,3,3,2,3]
[4,1,5,1,1,1]=>[3,1,3,2,3,3]
[4,5,1,1,1,1]=>[3,1,2,3,3,3]
[5,1,1,1,1,4]=>[1,6,1,1,1,5]
[5,1,1,1,4,1]=>[2,1,2,2,6,2]
[5,1,1,4,1,1]=>[3,2,3,3,1,3]
[5,1,4,1,1,1]=>[3,2,3,1,3,3]
[5,4,1,1,1,1]=>[3,2,1,3,3,3]
[1,1,1,1,4,6]=>[1,1,1,1,4,6]
[1,1,1,1,6,4]=>[2,2,2,2,5,1]
[1,1,1,4,1,6]=>[1,1,1,1,4,5]
[1,1,1,4,6,1]=>[1,1,1,5,4,1]
[1,1,1,6,1,4]=>[2,2,2,1,2,5]
[1,1,1,6,4,1]=>[1,1,1,6,4,1]
[1,1,4,1,1,6]=>[1,1,1,1,5,4]
[1,1,4,1,6,1]=>[1,1,1,4,5,1]
[1,1,4,6,1,1]=>[1,1,1,4,6,1]
[1,1,6,1,1,4]=>[2,2,2,1,2,6]
[1,1,6,1,4,1]=>[1,1,1,6,5,1]
[1,1,6,4,1,1]=>[1,1,1,5,6,1]
[1,4,1,1,1,6]=>[1,1,1,1,5,3]
[1,4,1,1,6,1]=>[1,1,1,3,5,1]
[1,4,1,6,1,1]=>[1,1,1,3,6,1]
[1,4,6,1,1,1]=>[1,1,3,6,1,1]
[1,6,1,1,1,4]=>[2,2,1,2,2,6]
[1,6,1,1,4,1]=>[1,1,6,1,5,1]
[1,6,1,4,1,1]=>[1,1,5,1,6,1]
[1,6,4,1,1,1]=>[1,1,4,6,1,1]
[4,1,1,1,1,6]=>[1,1,1,1,5,2]
[4,1,1,1,6,1]=>[1,1,1,2,5,1]
[4,1,1,6,1,1]=>[1,1,1,2,6,1]
[4,1,6,1,1,1]=>[1,1,2,6,1,1]
[4,6,1,1,1,1]=>[1,2,6,1,1,1]
[6,1,1,1,1,4]=>[2,1,2,2,2,6]
[6,1,1,1,4,1]=>[1,6,1,1,5,1]
[6,1,1,4,1,1]=>[1,5,1,1,6,1]
[6,1,4,1,1,1]=>[1,4,1,6,1,1]
[6,4,1,1,1,1]=>[1,3,6,1,1,1]
[1,1,1,1,5,5]=>[1,1,1,1,5,5]
[1,1,1,5,1,5]=>[3,3,3,3,1,1]
[1,1,1,5,5,1]=>[2,2,2,2,1,1]
[1,1,5,1,1,5]=>[3,3,3,1,3,1]
[1,1,5,1,5,1]=>[2,2,2,1,2,1]
[1,1,5,5,1,1]=>[2,2,2,1,1,2]
[1,5,1,1,1,5]=>[3,3,1,3,3,1]
[1,5,1,1,5,1]=>[2,2,1,2,2,1]
[1,5,1,5,1,1]=>[2,2,1,2,1,2]
[1,5,5,1,1,1]=>[2,2,1,1,2,2]
[5,1,1,1,1,5]=>[3,1,3,3,3,1]
[5,1,1,1,5,1]=>[2,1,2,2,2,1]
[5,1,1,5,1,1]=>[2,1,2,2,1,2]
[5,1,5,1,1,1]=>[2,1,2,1,2,2]
[5,5,1,1,1,1]=>[2,1,1,2,2,2]
[1,1,1,1,5,6]=>[1,1,1,1,5,6]
[1,1,1,1,6,5]=>[2,2,2,2,6,1]
[1,1,1,5,1,6]=>[1,1,1,1,6,5]
[1,1,1,5,6,1]=>[2,2,2,2,1,6]
[1,1,1,6,1,5]=>[3,3,3,3,1,2]
[1,1,1,6,5,1]=>[3,3,3,3,2,1]
[1,1,5,1,1,6]=>[1,1,1,1,6,4]
[1,1,5,1,6,1]=>[2,2,2,2,1,5]
[1,1,5,6,1,1]=>[2,2,2,5,1,2]
[1,1,6,1,1,5]=>[3,3,3,2,3,1]
[1,1,6,1,5,1]=>[3,3,3,1,3,2]
[1,1,6,5,1,1]=>[2,2,2,6,1,2]
[1,5,1,1,1,6]=>[1,1,1,1,6,3]
[1,5,1,1,6,1]=>[2,2,2,2,1,4]
[1,5,1,6,1,1]=>[2,2,2,4,1,2]
[1,5,6,1,1,1]=>[2,2,4,1,2,2]
[1,6,1,1,1,5]=>[3,3,2,3,3,1]
[1,6,1,1,5,1]=>[3,3,1,3,3,2]
[1,6,1,5,1,1]=>[2,2,6,2,1,2]
[1,6,5,1,1,1]=>[2,2,5,1,2,2]
[5,1,1,1,1,6]=>[1,1,1,1,6,2]
[5,1,1,1,6,1]=>[2,2,2,2,1,3]
[5,1,1,6,1,1]=>[2,2,2,3,1,2]
[5,1,6,1,1,1]=>[2,2,3,1,2,2]
[5,6,1,1,1,1]=>[2,3,1,2,2,2]
[6,1,1,1,1,5]=>[3,2,3,3,3,1]
[6,1,1,1,5,1]=>[3,1,3,3,3,2]
[6,1,1,5,1,1]=>[2,6,2,2,1,2]
[6,1,5,1,1,1]=>[2,5,2,1,2,2]
[6,5,1,1,1,1]=>[2,4,1,2,2,2]
[1,1,1,2,2,2]=>[1,1,1,2,2,2]
[1,1,2,1,2,2]=>[1,1,2,1,2,2]
[1,1,2,2,1,2]=>[1,1,2,2,1,2]
[1,1,2,2,2,1]=>[1,1,2,2,2,1]
[1,2,1,1,2,2]=>[1,2,1,1,2,2]
[1,2,1,2,1,2]=>[1,2,1,2,1,2]
[1,2,1,2,2,1]=>[1,2,1,2,2,1]
[1,2,2,1,1,2]=>[1,2,2,1,1,2]
[1,2,2,1,2,1]=>[1,2,2,1,2,1]
[1,2,2,2,1,1]=>[1,2,2,2,1,1]
[2,1,1,1,2,2]=>[1,3,1,1,3,3]
[2,1,1,2,1,2]=>[1,3,1,3,1,3]
[2,1,1,2,2,1]=>[1,3,1,3,3,1]
[2,1,2,1,1,2]=>[1,3,3,1,1,3]
[2,1,2,1,2,1]=>[1,3,3,1,3,1]
[2,1,2,2,1,1]=>[1,3,3,3,1,1]
[2,2,1,1,1,2]=>[1,4,4,1,1,4]
[2,2,1,1,2,1]=>[1,4,4,1,4,1]
[2,2,1,2,1,1]=>[1,4,4,4,1,1]
[2,2,2,1,1,1]=>[4,1,1,1,4,4]
[1,1,1,2,2,3]=>[1,1,2,2,1,3]
[1,1,1,2,3,2]=>[1,1,2,3,1,2]
[1,1,1,3,2,2]=>[1,1,3,1,2,2]
[1,1,2,1,2,3]=>[1,2,1,2,1,3]
[1,1,2,1,3,2]=>[1,2,1,3,1,2]
[1,1,2,2,1,3]=>[1,2,2,1,1,3]
[1,1,2,2,3,1]=>[1,2,2,1,3,1]
[1,1,2,3,1,2]=>[1,2,3,1,1,2]
[1,1,2,3,2,1]=>[1,2,3,1,2,1]
[1,1,3,1,2,2]=>[1,3,1,1,2,2]
[1,1,3,2,1,2]=>[1,3,1,2,1,2]
[1,1,3,2,2,1]=>[1,3,1,2,2,1]
[1,2,1,1,2,3]=>[1,2,1,2,1,4]
[1,2,1,1,3,2]=>[1,2,1,4,1,2]
[1,2,1,2,1,3]=>[1,2,2,1,1,4]
[1,2,1,2,3,1]=>[1,2,2,1,4,1]
[1,2,1,3,1,2]=>[1,2,4,1,1,2]
[1,2,1,3,2,1]=>[1,2,4,1,2,1]
[1,2,2,1,1,3]=>[1,2,2,1,1,5]
[1,2,2,1,3,1]=>[1,2,2,1,5,1]
[1,2,2,3,1,1]=>[1,2,2,1,6,1]
[1,2,3,1,1,2]=>[1,2,5,1,1,2]
[1,2,3,1,2,1]=>[1,2,5,1,2,1]
[1,2,3,2,1,1]=>[1,2,6,2,1,1]
[1,3,1,1,2,2]=>[1,4,1,1,2,2]
[1,3,1,2,1,2]=>[1,4,1,2,1,2]
[1,3,1,2,2,1]=>[1,4,1,2,2,1]
[1,3,2,1,1,2]=>[1,5,2,1,1,2]
[1,3,2,1,2,1]=>[1,5,2,1,2,1]
[1,3,2,2,1,1]=>[1,6,2,2,1,1]
[2,1,1,1,2,3]=>[1,3,1,3,1,4]
[2,1,1,1,3,2]=>[1,3,1,4,1,3]
[2,1,1,2,1,3]=>[1,3,3,1,1,4]
[2,1,1,2,3,1]=>[1,3,3,1,4,1]
[2,1,1,3,1,2]=>[1,3,4,1,1,3]
[2,1,1,3,2,1]=>[1,3,4,1,3,1]
[2,1,2,1,1,3]=>[1,3,3,1,1,5]
[2,1,2,1,3,1]=>[1,3,3,1,5,1]
[2,1,2,3,1,1]=>[1,3,3,1,6,1]
[2,1,3,1,1,2]=>[1,3,5,1,1,3]
[2,1,3,1,2,1]=>[1,3,5,1,3,1]
[2,1,3,2,1,1]=>[1,3,6,3,1,1]
[2,2,1,1,1,3]=>[1,4,4,1,1,5]
[2,2,1,1,3,1]=>[1,4,4,1,5,1]
[2,2,1,3,1,1]=>[1,4,4,1,6,1]
[2,2,3,1,1,1]=>[4,1,1,2,4,4]
[2,3,1,1,1,2]=>[1,4,5,1,1,4]
[2,3,1,1,2,1]=>[1,4,5,1,4,1]
[2,3,1,2,1,1]=>[1,4,6,4,1,1]
[2,3,2,1,1,1]=>[4,1,2,1,4,4]
[3,1,1,1,2,2]=>[1,4,1,1,3,3]
[3,1,1,2,1,2]=>[1,4,1,3,1,3]
[3,1,1,2,2,1]=>[1,4,1,3,3,1]
[3,1,2,1,1,2]=>[1,5,3,1,1,3]
[3,1,2,1,2,1]=>[1,5,3,1,3,1]
[3,1,2,2,1,1]=>[1,6,3,3,1,1]
[3,2,1,1,1,2]=>[1,5,4,1,1,4]
[3,2,1,1,2,1]=>[1,5,4,1,4,1]
[3,2,1,2,1,1]=>[1,6,4,4,1,1]
[3,2,2,1,1,1]=>[4,2,1,1,4,4]
[1,1,1,2,2,4]=>[1,1,2,2,1,4]
[1,1,1,2,4,2]=>[1,1,2,4,1,2]
[1,1,1,4,2,2]=>[1,1,4,1,2,2]
[1,1,2,1,2,4]=>[1,1,2,2,1,5]
[1,1,2,1,4,2]=>[1,1,2,5,1,2]
[1,1,2,2,1,4]=>[1,1,2,2,1,6]
[1,1,2,2,4,1]=>[2,2,3,3,2,1]
[1,1,2,4,1,2]=>[1,1,2,6,1,2]
[1,1,2,4,2,1]=>[2,2,3,1,3,2]
[1,1,4,1,2,2]=>[1,1,5,1,2,2]
[1,1,4,2,1,2]=>[1,1,6,2,1,2]
[1,1,4,2,2,1]=>[2,2,1,3,3,2]
[1,2,1,1,2,4]=>[1,2,1,2,1,5]
[1,2,1,1,4,2]=>[1,2,1,5,1,2]
[1,2,1,2,1,4]=>[1,2,1,2,1,6]
[1,2,1,2,4,1]=>[2,3,2,3,2,1]
[1,2,1,4,1,2]=>[1,2,1,6,1,2]
[1,2,1,4,2,1]=>[2,3,2,1,3,2]
[1,2,2,1,1,4]=>[1,2,2,1,1,6]
[1,2,2,1,4,1]=>[2,3,3,2,2,1]
[1,2,2,4,1,1]=>[2,3,3,2,1,2]
[1,2,4,1,1,2]=>[1,2,6,1,1,2]
[1,2,4,1,2,1]=>[2,3,1,2,3,2]
[1,2,4,2,1,1]=>[2,3,1,3,2,2]
[1,4,1,1,2,2]=>[1,5,1,1,2,2]
[1,4,1,2,1,2]=>[1,6,1,2,1,2]
[1,4,1,2,2,1]=>[2,1,2,3,3,2]
[1,4,2,1,1,2]=>[1,6,2,1,1,2]
[1,4,2,1,2,1]=>[2,1,3,2,3,2]
[1,4,2,2,1,1]=>[2,1,3,3,2,2]
[2,1,1,1,2,4]=>[1,3,1,3,1,5]
[2,1,1,1,4,2]=>[1,3,1,5,1,3]
[2,1,1,2,1,4]=>[1,3,1,3,1,6]
[2,1,1,2,4,1]=>[2,4,2,4,2,1]
[2,1,1,4,1,2]=>[1,3,1,6,1,3]
[2,1,1,4,2,1]=>[2,4,2,1,4,2]
[2,1,2,1,1,4]=>[1,3,3,1,1,6]
[2,1,2,1,4,1]=>[2,4,4,2,2,1]
[2,1,2,4,1,1]=>[2,4,4,2,1,2]
[2,1,4,1,1,2]=>[1,3,6,1,1,3]
[2,1,4,1,2,1]=>[2,4,1,2,4,2]
[2,1,4,2,1,1]=>[2,4,1,4,2,2]
[2,2,1,1,1,4]=>[1,4,4,1,1,6]
[2,2,1,1,4,1]=>[2,5,5,2,2,1]
[2,2,1,4,1,1]=>[2,5,5,2,1,2]
[2,2,4,1,1,1]=>[4,1,1,3,4,4]
[2,4,1,1,1,2]=>[1,4,6,1,1,4]
[2,4,1,1,2,1]=>[2,5,1,2,5,2]
[2,4,1,2,1,1]=>[2,5,1,5,2,2]
[2,4,2,1,1,1]=>[4,1,3,1,4,4]
[4,1,1,1,2,2]=>[1,5,1,1,3,3]
[4,1,1,2,1,2]=>[1,6,1,3,1,3]
[4,1,1,2,2,1]=>[2,1,2,4,4,2]
[4,1,2,1,1,2]=>[1,6,3,1,1,3]
[4,1,2,1,2,1]=>[2,1,4,2,4,2]
[4,1,2,2,1,1]=>[2,1,4,4,2,2]
[4,2,1,1,1,2]=>[1,6,4,1,1,4]
[4,2,1,1,2,1]=>[2,1,5,2,5,2]
[4,2,1,2,1,1]=>[2,1,5,5,2,2]
[4,2,2,1,1,1]=>[4,3,1,1,4,4]
[1,1,1,2,2,5]=>[1,1,1,2,2,5]
[1,1,1,2,5,2]=>[1,1,1,2,5,2]
[1,1,1,5,2,2]=>[1,1,1,2,6,2]
[1,1,2,1,2,5]=>[1,1,1,2,2,4]
[1,1,2,1,5,2]=>[1,1,1,2,4,2]
[1,1,2,2,1,5]=>[1,1,2,1,2,4]
[1,1,2,2,5,1]=>[1,1,2,4,2,1]
[1,1,2,5,1,2]=>[1,1,4,2,1,2]
[1,1,2,5,2,1]=>[1,1,4,2,2,1]
[1,1,5,1,2,2]=>[1,1,6,1,2,2]
[1,1,5,2,1,2]=>[1,1,5,2,1,2]
[1,1,5,2,2,1]=>[1,1,5,2,2,1]
[1,2,1,1,2,5]=>[1,1,1,2,2,3]
[1,2,1,1,5,2]=>[1,1,1,2,3,2]
[1,2,1,2,1,5]=>[1,1,2,1,2,3]
[1,2,1,2,5,1]=>[1,1,2,3,2,1]
[1,2,1,5,1,2]=>[1,1,3,2,1,2]
[1,2,1,5,2,1]=>[1,1,3,2,2,1]
[1,2,2,1,1,5]=>[1,2,1,1,2,3]
[1,2,2,1,5,1]=>[1,2,1,3,2,1]
[1,2,2,5,1,1]=>[1,2,3,2,1,1]
[1,2,5,1,1,2]=>[1,3,2,1,1,2]
[1,2,5,1,2,1]=>[1,3,2,1,2,1]
[1,2,5,2,1,1]=>[1,3,2,2,1,1]
[1,5,1,1,2,2]=>[1,6,1,1,2,2]
[1,5,1,2,1,2]=>[1,5,1,2,1,2]
[1,5,1,2,2,1]=>[1,5,1,2,2,1]
[1,5,2,1,1,2]=>[1,4,2,1,1,2]
[1,5,2,1,2,1]=>[1,4,2,1,2,1]
[1,5,2,2,1,1]=>[1,4,2,2,1,1]
[2,1,1,1,2,5]=>[1,1,1,3,3,2]
[2,1,1,1,5,2]=>[1,1,1,3,2,3]
[2,1,1,2,1,5]=>[1,1,3,1,3,2]
[2,1,1,2,5,1]=>[1,1,3,2,3,1]
[2,1,1,5,1,2]=>[1,1,2,3,1,3]
[2,1,1,5,2,1]=>[1,1,2,3,3,1]
[2,1,2,1,1,5]=>[1,3,1,1,3,2]
[2,1,2,1,5,1]=>[1,3,1,2,3,1]
[2,1,2,5,1,1]=>[1,3,2,3,1,1]
[2,1,5,1,1,2]=>[1,2,3,1,1,3]
[2,1,5,1,2,1]=>[1,2,3,1,3,1]
[2,1,5,2,1,1]=>[1,2,3,3,1,1]
[2,2,1,1,1,5]=>[1,4,1,1,4,2]
[2,2,1,1,5,1]=>[1,4,1,2,4,1]
[2,2,1,5,1,1]=>[1,4,2,4,1,1]
[2,2,5,1,1,1]=>[1,5,2,5,1,1]
[2,5,1,1,1,2]=>[1,2,4,1,1,4]
[2,5,1,1,2,1]=>[1,2,4,1,4,1]
[2,5,1,2,1,1]=>[1,2,4,4,1,1]
[2,5,2,1,1,1]=>[1,2,5,5,1,1]
[5,1,1,1,2,2]=>[1,6,1,1,3,3]
[5,1,1,2,1,2]=>[1,5,1,3,1,3]
[5,1,1,2,2,1]=>[1,5,1,3,3,1]
[5,1,2,1,1,2]=>[1,4,3,1,1,3]
[5,1,2,1,2,1]=>[1,4,3,1,3,1]
[5,1,2,2,1,1]=>[1,4,3,3,1,1]
[5,2,1,1,1,2]=>[1,3,4,1,1,4]
[5,2,1,1,2,1]=>[1,3,4,1,4,1]
[5,2,1,2,1,1]=>[1,3,4,4,1,1]
[5,2,2,1,1,1]=>[1,3,5,5,1,1]
[1,1,1,2,2,6]=>[1,1,1,2,2,6]
[1,1,1,2,6,2]=>[2,2,2,3,3,1]
[1,1,1,6,2,2]=>[2,2,2,3,1,3]
[1,1,2,1,2,6]=>[1,1,2,1,2,6]
[1,1,2,1,6,2]=>[2,2,3,2,3,1]
[1,1,2,2,1,6]=>[1,1,2,1,2,5]
[1,1,2,2,6,1]=>[1,1,2,5,2,1]
[1,1,2,6,1,2]=>[2,2,3,1,2,3]
[1,1,2,6,2,1]=>[1,1,2,6,2,1]
[1,1,6,1,2,2]=>[2,2,1,2,3,3]
[1,1,6,2,1,2]=>[2,2,1,3,2,3]
[1,1,6,2,2,1]=>[1,1,6,2,2,1]
[1,2,1,1,2,6]=>[1,2,1,1,2,6]
[1,2,1,1,6,2]=>[2,3,2,2,3,1]
[1,2,1,2,1,6]=>[1,2,1,1,2,5]
[1,2,1,2,6,1]=>[1,2,1,5,2,1]
[1,2,1,6,1,2]=>[2,3,2,1,2,3]
[1,2,1,6,2,1]=>[1,2,1,6,2,1]
[1,2,2,1,1,6]=>[1,2,1,1,2,4]
[1,2,2,1,6,1]=>[1,2,1,4,2,1]
[1,2,2,6,1,1]=>[1,2,4,2,1,1]
[1,2,6,1,1,2]=>[2,3,1,2,2,3]
[1,2,6,1,2,1]=>[1,2,6,1,2,1]
[1,2,6,2,1,1]=>[1,2,5,2,1,1]
[1,6,1,1,2,2]=>[2,1,2,2,3,3]
[1,6,1,2,1,2]=>[2,1,2,3,2,3]
[1,6,1,2,2,1]=>[1,6,1,2,2,1]
[1,6,2,1,1,2]=>[2,1,3,2,2,3]
[1,6,2,1,2,1]=>[1,6,2,1,2,1]
[1,6,2,2,1,1]=>[1,5,2,2,1,1]
[2,1,1,1,2,6]=>[1,3,1,1,3,6]
[2,1,1,1,6,2]=>[2,4,2,2,4,1]
[2,1,1,2,1,6]=>[1,3,1,1,3,5]
[2,1,1,2,6,1]=>[1,3,1,5,3,1]
[2,1,1,6,1,2]=>[2,4,2,1,2,4]
[2,1,1,6,2,1]=>[1,3,1,6,3,1]
[2,1,2,1,1,6]=>[1,3,1,1,3,4]
[2,1,2,1,6,1]=>[1,3,1,4,3,1]
[2,1,2,6,1,1]=>[1,3,4,3,1,1]
[2,1,6,1,1,2]=>[2,4,1,2,2,4]
[2,1,6,1,2,1]=>[1,3,6,1,3,1]
[2,1,6,2,1,1]=>[1,3,5,3,1,1]
[2,2,1,1,1,6]=>[1,4,1,1,4,3]
[2,2,1,1,6,1]=>[1,4,1,3,4,1]
[2,2,1,6,1,1]=>[1,4,3,4,1,1]
[2,2,6,1,1,1]=>[1,5,3,5,1,1]
[2,6,1,1,1,2]=>[2,5,1,2,2,5]
[2,6,1,1,2,1]=>[1,4,6,1,4,1]
[2,6,1,2,1,1]=>[1,4,5,4,1,1]
[2,6,2,1,1,1]=>[1,5,4,5,1,1]
[6,1,1,1,2,2]=>[2,1,2,2,4,4]
[6,1,1,2,1,2]=>[2,1,2,4,2,4]
[6,1,1,2,2,1]=>[1,6,1,3,3,1]
[6,1,2,1,1,2]=>[2,1,4,2,2,4]
[6,1,2,1,2,1]=>[1,6,3,1,3,1]
[6,1,2,2,1,1]=>[1,5,3,3,1,1]
[6,2,1,1,1,2]=>[2,1,5,2,2,5]
[6,2,1,1,2,1]=>[1,6,4,1,4,1]
[6,2,1,2,1,1]=>[1,5,4,4,1,1]
[6,2,2,1,1,1]=>[1,4,5,5,1,1]
[1,1,1,2,3,3]=>[1,1,2,1,3,3]
[1,1,1,3,2,3]=>[1,1,3,2,1,3]
[1,1,1,3,3,2]=>[1,1,3,3,1,2]
[1,1,2,1,3,3]=>[1,2,1,1,3,3]
[1,1,2,3,1,3]=>[1,2,1,3,1,3]
[1,1,2,3,3,1]=>[1,2,1,3,3,1]
[1,1,3,1,2,3]=>[1,3,1,2,1,3]
[1,1,3,1,3,2]=>[1,3,1,3,1,2]
[1,1,3,2,1,3]=>[1,3,2,1,1,3]
[1,1,3,2,3,1]=>[1,3,2,1,3,1]
[1,1,3,3,1,2]=>[1,3,3,1,1,2]
[1,1,3,3,2,1]=>[1,3,3,1,2,1]
[1,2,1,1,3,3]=>[1,2,1,1,4,4]
[1,2,1,3,1,3]=>[1,2,1,4,1,4]
[1,2,1,3,3,1]=>[1,2,1,4,4,1]
[1,2,3,1,1,3]=>[1,2,1,5,1,5]
[1,2,3,1,3,1]=>[1,2,1,5,5,1]
[1,2,3,3,1,1]=>[3,4,3,1,1,3]
[1,3,1,1,2,3]=>[1,4,1,2,1,4]
[1,3,1,1,3,2]=>[1,4,1,4,1,2]
[1,3,1,2,1,3]=>[1,4,2,1,1,4]
[1,3,1,2,3,1]=>[1,4,2,1,4,1]
[1,3,1,3,1,2]=>[1,4,4,1,1,2]
[1,3,1,3,2,1]=>[1,4,4,1,2,1]
[1,3,2,1,1,3]=>[1,5,2,1,1,5]
[1,3,2,1,3,1]=>[1,5,2,1,5,1]
[1,3,2,3,1,1]=>[3,1,4,3,1,3]
[1,3,3,1,1,2]=>[1,5,5,1,1,2]
[1,3,3,1,2,1]=>[1,5,5,1,2,1]
[1,3,3,2,1,1]=>[3,1,1,4,3,3]
[2,1,1,1,3,3]=>[1,3,1,1,4,4]
[2,1,1,3,1,3]=>[1,3,1,4,1,4]
[2,1,1,3,3,1]=>[1,3,1,4,4,1]
[2,1,3,1,1,3]=>[1,3,1,5,1,5]
[2,1,3,1,3,1]=>[1,3,1,5,5,1]
[2,1,3,3,1,1]=>[3,5,3,1,1,3]
[2,3,1,1,1,3]=>[1,4,5,1,1,5]
[2,3,1,1,3,1]=>[1,4,5,1,5,1]
[2,3,1,3,1,1]=>[3,6,1,3,1,3]
[2,3,3,1,1,1]=>[4,1,2,2,4,4]
[3,1,1,1,2,3]=>[1,4,1,3,1,4]
[3,1,1,1,3,2]=>[1,4,1,4,1,3]
[3,1,1,2,1,3]=>[1,4,3,1,1,4]
[3,1,1,2,3,1]=>[1,4,3,1,4,1]
[3,1,1,3,1,2]=>[1,4,4,1,1,3]
[3,1,1,3,2,1]=>[1,4,4,1,3,1]
[3,1,2,1,1,3]=>[1,5,3,1,1,5]
[3,1,2,1,3,1]=>[1,5,3,1,5,1]
[3,1,2,3,1,1]=>[3,1,5,3,1,3]
[3,1,3,1,1,2]=>[1,5,5,1,1,3]
[3,1,3,1,2,1]=>[1,5,5,1,3,1]
[3,1,3,2,1,1]=>[3,1,1,5,3,3]
[3,2,1,1,1,3]=>[1,5,4,1,1,5]
[3,2,1,1,3,1]=>[1,5,4,1,5,1]
[3,2,1,3,1,1]=>[3,1,6,3,1,3]
[3,2,3,1,1,1]=>[4,2,1,2,4,4]
[3,3,1,1,1,2]=>[1,5,5,1,1,4]
[3,3,1,1,2,1]=>[1,5,5,1,4,1]
[3,3,1,2,1,1]=>[3,1,1,6,3,3]
[3,3,2,1,1,1]=>[4,2,2,1,4,4]
[1,1,1,2,3,4]=>[1,2,1,3,1,4]
[1,1,1,2,4,3]=>[1,2,1,4,1,3]
[1,1,1,3,2,4]=>[1,3,1,2,1,4]
[1,1,1,3,4,2]=>[1,3,1,4,1,2]
[1,1,1,4,2,3]=>[1,4,1,2,1,3]
[1,1,1,4,3,2]=>[1,4,1,3,1,2]
[1,1,2,1,3,4]=>[1,2,1,3,1,5]
[1,1,2,1,4,3]=>[1,2,1,5,1,3]
[1,1,2,3,1,4]=>[1,2,1,3,1,6]
[1,1,2,3,4,1]=>[2,3,2,4,2,1]
[1,1,2,4,1,3]=>[1,2,1,6,1,3]
[1,1,2,4,3,1]=>[2,3,2,1,4,2]
[1,1,3,1,2,4]=>[1,3,1,2,1,5]
[1,1,3,1,4,2]=>[1,3,1,5,1,2]
[1,1,3,2,1,4]=>[1,3,1,2,1,6]
[1,1,3,2,4,1]=>[2,4,2,3,2,1]
[1,1,3,4,1,2]=>[1,3,1,6,1,2]
[1,1,3,4,2,1]=>[2,4,2,1,3,2]
[1,1,4,1,2,3]=>[1,5,1,2,1,3]
[1,1,4,1,3,2]=>[1,5,1,3,1,2]
[1,1,4,2,1,3]=>[1,6,2,1,1,3]
[1,1,4,2,3,1]=>[2,1,3,2,4,2]
[1,1,4,3,1,2]=>[1,6,3,1,1,2]
[1,1,4,3,2,1]=>[2,1,4,2,3,2]
[1,2,1,1,3,4]=>[1,2,1,4,1,5]
[1,2,1,1,4,3]=>[1,2,1,5,1,4]
[1,2,1,3,1,4]=>[1,2,1,4,1,6]
[1,2,1,3,4,1]=>[2,3,2,5,2,1]
[1,2,1,4,1,3]=>[1,2,1,6,1,4]
[1,2,1,4,3,1]=>[2,3,2,1,5,2]
[1,2,3,1,1,4]=>[1,2,1,5,1,6]
[1,2,3,1,4,1]=>[2,3,2,6,2,1]
[1,2,3,4,1,1]=>[3,4,3,1,2,3]
[1,2,4,1,1,3]=>[1,2,1,6,1,5]
[1,2,4,1,3,1]=>[2,3,2,1,6,2]
[1,2,4,3,1,1]=>[3,4,3,2,1,3]
[1,3,1,1,2,4]=>[1,4,1,2,1,5]
[1,3,1,1,4,2]=>[1,4,1,5,1,2]
[1,3,1,2,1,4]=>[1,4,1,2,1,6]
[1,3,1,2,4,1]=>[2,5,2,3,2,1]
[1,3,1,4,1,2]=>[1,4,1,6,1,2]
[1,3,1,4,2,1]=>[2,5,2,1,3,2]
[1,3,2,1,1,4]=>[1,5,2,1,1,6]
[1,3,2,1,4,1]=>[2,6,3,2,2,1]
[1,3,2,4,1,1]=>[3,1,4,3,2,3]
[1,3,4,1,1,2]=>[1,5,6,1,1,2]
[1,3,4,1,2,1]=>[2,6,1,2,3,2]
[1,3,4,2,1,1]=>[3,1,2,4,3,3]
[1,4,1,1,2,3]=>[1,5,1,2,1,4]
[1,4,1,1,3,2]=>[1,5,1,4,1,2]
[1,4,1,2,1,3]=>[1,6,2,1,1,4]
[1,4,1,2,3,1]=>[2,1,3,2,5,2]
[1,4,1,3,1,2]=>[1,6,4,1,1,2]
[1,4,1,3,2,1]=>[2,1,5,2,3,2]
[1,4,2,1,1,3]=>[1,6,2,1,1,5]
[1,4,2,1,3,1]=>[2,1,3,2,6,2]
[1,4,2,3,1,1]=>[3,2,4,3,1,3]
[1,4,3,1,1,2]=>[1,6,5,1,1,2]
[1,4,3,1,2,1]=>[2,1,6,2,3,2]
[1,4,3,2,1,1]=>[3,2,1,4,3,3]
[2,1,1,1,3,4]=>[1,3,1,4,1,5]
[2,1,1,1,4,3]=>[1,3,1,5,1,4]
[2,1,1,3,1,4]=>[1,3,1,4,1,6]
[2,1,1,3,4,1]=>[2,4,2,5,2,1]
[2,1,1,4,1,3]=>[1,3,1,6,1,4]
[2,1,1,4,3,1]=>[2,4,2,1,5,2]
[2,1,3,1,1,4]=>[1,3,1,5,1,6]
[2,1,3,1,4,1]=>[2,4,2,6,2,1]
[2,1,3,4,1,1]=>[3,5,3,1,2,3]
[2,1,4,1,1,3]=>[1,3,1,6,1,5]
[2,1,4,1,3,1]=>[2,4,2,1,6,2]
[2,1,4,3,1,1]=>[3,5,3,2,1,3]
[2,3,1,1,1,4]=>[1,4,5,1,1,6]
[2,3,1,1,4,1]=>[2,5,6,2,2,1]
[2,3,1,4,1,1]=>[3,6,1,3,2,3]
[2,3,4,1,1,1]=>[4,1,2,3,4,4]
[2,4,1,1,1,3]=>[1,4,6,1,1,5]
[2,4,1,1,3,1]=>[2,5,1,2,6,2]
[2,4,1,3,1,1]=>[3,6,2,3,1,3]
[2,4,3,1,1,1]=>[4,1,3,2,4,4]
[3,1,1,1,2,4]=>[1,4,1,3,1,5]
[3,1,1,1,4,2]=>[1,4,1,5,1,3]
[3,1,1,2,1,4]=>[1,4,1,3,1,6]
[3,1,1,2,4,1]=>[2,5,2,4,2,1]
[3,1,1,4,1,2]=>[1,4,1,6,1,3]
[3,1,1,4,2,1]=>[2,5,2,1,4,2]
[3,1,2,1,1,4]=>[1,5,3,1,1,6]
[3,1,2,1,4,1]=>[2,6,4,2,2,1]
[3,1,2,4,1,1]=>[3,1,5,3,2,3]
[3,1,4,1,1,2]=>[1,5,6,1,1,3]
[3,1,4,1,2,1]=>[2,6,1,2,4,2]
[3,1,4,2,1,1]=>[3,1,2,5,3,3]
[3,2,1,1,1,4]=>[1,5,4,1,1,6]
[3,2,1,1,4,1]=>[2,6,5,2,2,1]
[3,2,1,4,1,1]=>[3,1,6,3,2,3]
[3,2,4,1,1,1]=>[4,2,1,3,4,4]
[3,4,1,1,1,2]=>[1,5,6,1,1,4]
[3,4,1,1,2,1]=>[2,6,1,2,5,2]
[3,4,1,2,1,1]=>[3,1,2,6,3,3]
[3,4,2,1,1,1]=>[4,2,3,1,4,4]
[4,1,1,1,2,3]=>[1,5,1,3,1,4]
[4,1,1,1,3,2]=>[1,5,1,4,1,3]
[4,1,1,2,1,3]=>[1,6,3,1,1,4]
[4,1,1,2,3,1]=>[2,1,4,2,5,2]
[4,1,1,3,1,2]=>[1,6,4,1,1,3]
[4,1,1,3,2,1]=>[2,1,5,2,4,2]
[4,1,2,1,1,3]=>[1,6,3,1,1,5]
[4,1,2,1,3,1]=>[2,1,4,2,6,2]
[4,1,2,3,1,1]=>[3,2,5,3,1,3]
[4,1,3,1,1,2]=>[1,6,5,1,1,3]
[4,1,3,1,2,1]=>[2,1,6,2,4,2]
[4,1,3,2,1,1]=>[3,2,1,5,3,3]
[4,2,1,1,1,3]=>[1,6,4,1,1,5]
[4,2,1,1,3,1]=>[2,1,5,2,6,2]
[4,2,1,3,1,1]=>[3,2,6,3,1,3]
[4,2,3,1,1,1]=>[4,3,1,2,4,4]
[4,3,1,1,1,2]=>[1,6,5,1,1,4]
[4,3,1,1,2,1]=>[2,1,6,2,5,2]
[4,3,1,2,1,1]=>[3,2,1,6,3,3]
[4,3,2,1,1,1]=>[4,3,2,1,4,4]
[1,1,1,2,3,5]=>[1,1,3,1,2,5]
[1,1,1,2,5,3]=>[1,1,5,2,1,3]
[1,1,1,3,2,5]=>[1,1,3,1,2,6]
[1,1,1,3,5,2]=>[2,2,4,2,3,1]
[1,1,1,5,2,3]=>[1,1,6,2,1,3]
[1,1,1,5,3,2]=>[2,2,1,4,2,3]
[1,1,2,1,3,5]=>[1,1,3,1,2,4]
[1,1,2,1,5,3]=>[1,1,4,2,1,3]
[1,1,2,3,1,5]=>[1,3,1,1,2,4]
[1,1,2,3,5,1]=>[1,3,1,4,2,1]
[1,1,2,5,1,3]=>[1,4,2,1,1,3]
[1,1,2,5,3,1]=>[1,4,2,1,3,1]
[1,1,3,1,2,5]=>[1,3,1,1,2,6]
[1,1,3,1,5,2]=>[2,4,2,2,3,1]
[1,1,3,2,1,5]=>[1,3,1,1,2,5]
[1,1,3,2,5,1]=>[1,3,1,5,2,1]
[1,1,3,5,1,2]=>[2,4,2,1,2,3]
[1,1,3,5,2,1]=>[1,3,1,6,2,1]
[1,1,5,1,2,3]=>[1,6,1,2,1,3]
[1,1,5,1,3,2]=>[2,1,2,4,2,3]
[1,1,5,2,1,3]=>[1,5,2,1,1,3]
[1,1,5,2,3,1]=>[1,5,2,1,3,1]
[1,1,5,3,1,2]=>[2,1,4,2,2,3]
[1,1,5,3,2,1]=>[1,6,3,1,2,1]
[1,2,1,1,3,5]=>[1,1,4,1,2,3]
[1,2,1,1,5,3]=>[1,1,3,2,1,4]
[1,2,1,3,1,5]=>[1,4,1,1,2,3]
[1,2,1,3,5,1]=>[1,4,1,3,2,1]
[1,2,1,5,1,3]=>[1,3,2,1,1,4]
[1,2,1,5,3,1]=>[1,3,2,1,4,1]
[1,2,3,1,1,5]=>[1,5,1,1,2,3]
[1,2,3,1,5,1]=>[1,5,1,3,2,1]
[1,2,3,5,1,1]=>[1,6,3,2,1,1]
[1,2,5,1,1,3]=>[1,3,2,1,1,5]
[1,2,5,1,3,1]=>[1,3,2,1,5,1]
[1,2,5,3,1,1]=>[1,3,2,1,6,1]
[1,3,1,1,2,5]=>[1,4,1,1,2,6]
[1,3,1,1,5,2]=>[2,5,2,2,3,1]
[1,3,1,2,1,5]=>[1,4,1,1,2,5]
[1,3,1,2,5,1]=>[1,4,1,5,2,1]
[1,3,1,5,1,2]=>[2,5,2,1,2,3]
[1,3,1,5,2,1]=>[1,4,1,6,2,1]
[1,3,2,1,1,5]=>[1,5,1,1,2,4]
[1,3,2,1,5,1]=>[1,5,1,4,2,1]
[1,3,2,5,1,1]=>[1,6,4,2,1,1]
[1,3,5,1,1,2]=>[2,6,1,2,2,3]
[1,3,5,1,2,1]=>[1,5,6,1,2,1]
[1,3,5,2,1,1]=>[1,6,5,2,1,1]
[1,5,1,1,2,3]=>[1,6,1,2,1,4]
[1,5,1,1,3,2]=>[2,1,2,5,2,3]
[1,5,1,2,1,3]=>[1,5,2,1,1,4]
[1,5,1,2,3,1]=>[1,5,2,1,4,1]
[1,5,1,3,1,2]=>[2,1,5,2,2,3]
[1,5,1,3,2,1]=>[1,6,4,1,2,1]
[1,5,2,1,1,3]=>[1,4,2,1,1,5]
[1,5,2,1,3,1]=>[1,4,2,1,5,1]
[1,5,2,3,1,1]=>[1,4,2,1,6,1]
[1,5,3,1,1,2]=>[2,1,6,2,2,3]
[1,5,3,1,2,1]=>[1,6,5,1,2,1]
[1,5,3,2,1,1]=>[1,5,6,2,1,1]
[2,1,1,1,3,5]=>[1,1,4,1,3,2]
[2,1,1,1,5,3]=>[1,1,2,3,1,4]
[2,1,1,3,1,5]=>[1,4,1,1,3,2]
[2,1,1,3,5,1]=>[1,4,1,2,3,1]
[2,1,1,5,1,3]=>[1,2,3,1,1,4]
[2,1,1,5,3,1]=>[1,2,3,1,4,1]
[2,1,3,1,1,5]=>[1,5,1,1,3,2]
[2,1,3,1,5,1]=>[1,5,1,2,3,1]
[2,1,3,5,1,1]=>[1,6,2,3,1,1]
[2,1,5,1,1,3]=>[1,2,3,1,1,5]
[2,1,5,1,3,1]=>[1,2,3,1,5,1]
[2,1,5,3,1,1]=>[1,2,3,1,6,1]
[2,3,1,1,1,5]=>[1,5,1,1,4,2]
[2,3,1,1,5,1]=>[1,5,1,2,4,1]
[2,3,1,5,1,1]=>[1,6,2,4,1,1]
[2,3,5,1,1,1]=>[1,6,2,5,1,1]
[2,5,1,1,1,3]=>[1,2,4,1,1,5]
[2,5,1,1,3,1]=>[1,2,4,1,5,1]
[2,5,1,3,1,1]=>[1,2,4,1,6,1]
[2,5,3,1,1,1]=>[1,2,5,6,1,1]
[3,1,1,1,2,5]=>[1,4,1,1,3,6]
[3,1,1,1,5,2]=>[2,5,2,2,4,1]
[3,1,1,2,1,5]=>[1,4,1,1,3,5]
[3,1,1,2,5,1]=>[1,4,1,5,3,1]
[3,1,1,5,1,2]=>[2,5,2,1,2,4]
[3,1,1,5,2,1]=>[1,4,1,6,3,1]
[3,1,2,1,1,5]=>[1,5,1,1,3,4]
[3,1,2,1,5,1]=>[1,5,1,4,3,1]
[3,1,2,5,1,1]=>[1,6,4,3,1,1]
[3,1,5,1,1,2]=>[2,6,1,2,2,4]
[3,1,5,1,2,1]=>[1,5,6,1,3,1]
[3,1,5,2,1,1]=>[1,6,5,3,1,1]
[3,2,1,1,1,5]=>[1,5,1,1,4,3]
[3,2,1,1,5,1]=>[1,5,1,3,4,1]
[3,2,1,5,1,1]=>[1,6,3,4,1,1]
[3,2,5,1,1,1]=>[1,6,3,5,1,1]
[3,5,1,1,1,2]=>[2,6,1,2,2,5]
[3,5,1,1,2,1]=>[1,5,6,1,4,1]
[3,5,1,2,1,1]=>[1,6,5,4,1,1]
[3,5,2,1,1,1]=>[1,6,4,5,1,1]
[5,1,1,1,2,3]=>[1,6,1,3,1,4]
[5,1,1,1,3,2]=>[2,1,2,5,2,4]
[5,1,1,2,1,3]=>[1,5,3,1,1,4]
[5,1,1,2,3,1]=>[1,5,3,1,4,1]
[5,1,1,3,1,2]=>[2,1,5,2,2,4]
[5,1,1,3,2,1]=>[1,6,4,1,3,1]
[5,1,2,1,1,3]=>[1,4,3,1,1,5]
[5,1,2,1,3,1]=>[1,4,3,1,5,1]
[5,1,2,3,1,1]=>[1,4,3,1,6,1]
[5,1,3,1,1,2]=>[2,1,6,2,2,4]
[5,1,3,1,2,1]=>[1,6,5,1,3,1]
[5,1,3,2,1,1]=>[1,5,6,3,1,1]
[5,2,1,1,1,3]=>[1,3,4,1,1,5]
[5,2,1,1,3,1]=>[1,3,4,1,5,1]
[5,2,1,3,1,1]=>[1,3,4,1,6,1]
[5,2,3,1,1,1]=>[1,3,5,6,1,1]
[5,3,1,1,1,2]=>[2,1,6,2,2,5]
[5,3,1,1,2,1]=>[1,6,5,1,4,1]
[5,3,1,2,1,1]=>[1,5,6,4,1,1]
[5,3,2,1,1,1]=>[1,4,6,5,1,1]
[1,1,1,2,3,6]=>[1,1,2,1,3,6]
[1,1,1,2,6,3]=>[2,2,3,2,4,1]
[1,1,1,3,2,6]=>[1,1,2,1,3,5]
[1,1,1,3,6,2]=>[1,1,5,3,1,2]
[1,1,1,6,2,3]=>[2,2,1,3,2,4]
[1,1,1,6,3,2]=>[1,1,6,3,1,2]
[1,1,2,1,3,6]=>[1,2,1,1,3,6]
[1,1,2,1,6,3]=>[2,3,2,2,4,1]
[1,1,2,3,1,6]=>[1,2,1,1,3,5]
[1,1,2,3,6,1]=>[1,2,1,5,3,1]
[1,1,2,6,1,3]=>[2,3,2,1,2,4]
[1,1,2,6,3,1]=>[1,2,1,6,3,1]
[1,1,3,1,2,6]=>[1,1,2,1,3,4]
[1,1,3,1,6,2]=>[1,1,4,3,1,2]
[1,1,3,2,1,6]=>[1,2,1,1,3,4]
[1,1,3,2,6,1]=>[1,2,1,4,3,1]
[1,1,3,6,1,2]=>[1,4,3,1,1,2]
[1,1,3,6,2,1]=>[1,4,3,1,2,1]
[1,1,6,1,2,3]=>[2,1,2,3,2,4]
[1,1,6,1,3,2]=>[1,6,1,3,1,2]
[1,1,6,2,1,3]=>[2,1,3,2,2,4]
[1,1,6,2,3,1]=>[1,6,2,1,3,1]
[1,1,6,3,1,2]=>[1,5,3,1,1,2]
[1,1,6,3,2,1]=>[1,5,3,1,2,1]
[1,2,1,1,3,6]=>[1,2,1,1,4,6]
[1,2,1,1,6,3]=>[2,3,2,2,5,1]
[1,2,1,3,1,6]=>[1,2,1,1,4,5]
[1,2,1,3,6,1]=>[1,2,1,5,4,1]
[1,2,1,6,1,3]=>[2,3,2,1,2,5]
[1,2,1,6,3,1]=>[1,2,1,6,4,1]
[1,2,3,1,1,6]=>[1,2,1,1,5,4]
[1,2,3,1,6,1]=>[1,2,1,4,5,1]
[1,2,3,6,1,1]=>[1,2,1,4,6,1]
[1,2,6,1,1,3]=>[2,3,2,1,2,6]
[1,2,6,1,3,1]=>[1,2,1,6,5,1]
[1,2,6,3,1,1]=>[1,2,1,5,6,1]
[1,3,1,1,2,6]=>[1,1,2,1,4,3]
[1,3,1,1,6,2]=>[1,1,3,4,1,2]
[1,3,1,2,1,6]=>[1,2,1,1,4,3]
[1,3,1,2,6,1]=>[1,2,1,3,4,1]
[1,3,1,6,1,2]=>[1,3,4,1,1,2]
[1,3,1,6,2,1]=>[1,3,4,1,2,1]
[1,3,2,1,1,6]=>[1,2,1,1,5,3]
[1,3,2,1,6,1]=>[1,2,1,3,5,1]
[1,3,2,6,1,1]=>[1,2,1,3,6,1]
[1,3,6,1,1,2]=>[1,3,5,1,1,2]
[1,3,6,1,2,1]=>[1,3,5,1,2,1]
[1,3,6,2,1,1]=>[1,3,6,2,1,1]
[1,6,1,1,2,3]=>[2,1,2,3,2,5]
[1,6,1,1,3,2]=>[1,6,1,4,1,2]
[1,6,1,2,1,3]=>[2,1,3,2,2,5]
[1,6,1,2,3,1]=>[1,6,2,1,4,1]
[1,6,1,3,1,2]=>[1,5,4,1,1,2]
[1,6,1,3,2,1]=>[1,5,4,1,2,1]
[1,6,2,1,1,3]=>[2,1,3,2,2,6]
[1,6,2,1,3,1]=>[1,6,2,1,5,1]
[1,6,2,3,1,1]=>[1,5,2,1,6,1]
[1,6,3,1,1,2]=>[1,4,5,1,1,2]
[1,6,3,1,2,1]=>[1,4,5,1,2,1]
[1,6,3,2,1,1]=>[1,4,6,2,1,1]
[2,1,1,1,3,6]=>[1,3,1,1,4,6]
[2,1,1,1,6,3]=>[2,4,2,2,5,1]
[2,1,1,3,1,6]=>[1,3,1,1,4,5]
[2,1,1,3,6,1]=>[1,3,1,5,4,1]
[2,1,1,6,1,3]=>[2,4,2,1,2,5]
[2,1,1,6,3,1]=>[1,3,1,6,4,1]
[2,1,3,1,1,6]=>[1,3,1,1,5,4]
[2,1,3,1,6,1]=>[1,3,1,4,5,1]
[2,1,3,6,1,1]=>[1,3,1,4,6,1]
[2,1,6,1,1,3]=>[2,4,2,1,2,6]
[2,1,6,1,3,1]=>[1,3,1,6,5,1]
[2,1,6,3,1,1]=>[1,3,1,5,6,1]
[2,3,1,1,1,6]=>[1,4,1,1,5,3]
[2,3,1,1,6,1]=>[1,4,1,3,5,1]
[2,3,1,6,1,1]=>[1,4,1,3,6,1]
[2,3,6,1,1,1]=>[1,5,3,6,1,1]
[2,6,1,1,1,3]=>[2,5,1,2,2,6]
[2,6,1,1,3,1]=>[1,4,6,1,5,1]
[2,6,1,3,1,1]=>[1,4,5,1,6,1]
[2,6,3,1,1,1]=>[1,5,4,6,1,1]
[3,1,1,1,2,6]=>[1,1,3,1,4,2]
[3,1,1,1,6,2]=>[1,1,2,4,1,3]
[3,1,1,2,1,6]=>[1,3,1,1,4,2]
[3,1,1,2,6,1]=>[1,3,1,2,4,1]
[3,1,1,6,1,2]=>[1,2,4,1,1,3]
[3,1,1,6,2,1]=>[1,2,4,1,3,1]
[3,1,2,1,1,6]=>[1,3,1,1,5,2]
[3,1,2,1,6,1]=>[1,3,1,2,5,1]
[3,1,2,6,1,1]=>[1,3,1,2,6,1]
[3,1,6,1,1,2]=>[1,2,5,1,1,3]
[3,1,6,1,2,1]=>[1,2,5,1,3,1]
[3,1,6,2,1,1]=>[1,2,6,3,1,1]
[3,2,1,1,1,6]=>[1,4,1,1,5,2]
[3,2,1,1,6,1]=>[1,4,1,2,5,1]
[3,2,1,6,1,1]=>[1,4,1,2,6,1]
[3,2,6,1,1,1]=>[1,5,2,6,1,1]
[3,6,1,1,1,2]=>[1,2,5,1,1,4]
[3,6,1,1,2,1]=>[1,2,5,1,4,1]
[3,6,1,2,1,1]=>[1,2,6,4,1,1]
[3,6,2,1,1,1]=>[1,2,6,5,1,1]
[6,1,1,1,2,3]=>[2,1,2,4,2,5]
[6,1,1,1,3,2]=>[1,6,1,4,1,3]
[6,1,1,2,1,3]=>[2,1,4,2,2,5]
[6,1,1,2,3,1]=>[1,6,3,1,4,1]
[6,1,1,3,1,2]=>[1,5,4,1,1,3]
[6,1,1,3,2,1]=>[1,5,4,1,3,1]
[6,1,2,1,1,3]=>[2,1,4,2,2,6]
[6,1,2,1,3,1]=>[1,6,3,1,5,1]
[6,1,2,3,1,1]=>[1,5,3,1,6,1]
[6,1,3,1,1,2]=>[1,4,5,1,1,3]
[6,1,3,1,2,1]=>[1,4,5,1,3,1]
[6,1,3,2,1,1]=>[1,4,6,3,1,1]
[6,2,1,1,1,3]=>[2,1,5,2,2,6]
[6,2,1,1,3,1]=>[1,6,4,1,5,1]
[6,2,1,3,1,1]=>[1,5,4,1,6,1]
[6,2,3,1,1,1]=>[1,4,5,6,1,1]
[6,3,1,1,1,2]=>[1,3,5,1,1,4]
[6,3,1,1,2,1]=>[1,3,5,1,4,1]
[6,3,1,2,1,1]=>[1,3,6,4,1,1]
[6,3,2,1,1,1]=>[1,3,6,5,1,1]
[1,1,1,2,4,4]=>[1,1,2,1,4,4]
[1,1,1,4,2,4]=>[1,1,4,2,1,4]
[1,1,1,4,4,2]=>[1,1,4,4,1,2]
[1,1,2,1,4,4]=>[1,1,2,1,5,5]
[1,1,2,4,1,4]=>[3,3,4,3,1,1]
[1,1,2,4,4,1]=>[2,2,3,2,1,1]
[1,1,4,1,2,4]=>[1,1,5,2,1,5]
[1,1,4,1,4,2]=>[1,1,5,5,1,2]
[1,1,4,2,1,4]=>[3,3,1,4,3,1]
[1,1,4,2,4,1]=>[2,2,1,3,2,1]
[1,1,4,4,1,2]=>[3,3,1,1,3,4]
[1,1,4,4,2,1]=>[2,2,1,1,3,2]
[1,2,1,1,4,4]=>[1,2,1,1,5,5]
[1,2,1,4,1,4]=>[3,4,3,3,1,1]
[1,2,1,4,4,1]=>[2,3,2,2,1,1]
[1,2,4,1,1,4]=>[3,4,3,1,3,1]
[1,2,4,1,4,1]=>[2,3,2,1,2,1]
[1,2,4,4,1,1]=>[2,3,2,1,1,2]
[1,4,1,1,2,4]=>[1,5,1,2,1,5]
[1,4,1,1,4,2]=>[1,5,1,5,1,2]
[1,4,1,2,1,4]=>[3,1,3,4,3,1]
[1,4,1,2,4,1]=>[2,1,2,3,2,1]
[1,4,1,4,1,2]=>[3,1,3,1,3,4]
[1,4,1,4,2,1]=>[2,1,2,1,3,2]
[1,4,2,1,1,4]=>[3,1,4,3,3,1]
[1,4,2,1,4,1]=>[2,1,3,2,2,1]
[1,4,2,4,1,1]=>[2,1,3,2,1,2]
[1,4,4,1,1,2]=>[3,1,1,3,3,4]
[1,4,4,1,2,1]=>[2,1,1,2,3,2]
[1,4,4,2,1,1]=>[2,1,1,3,2,2]
[2,1,1,1,4,4]=>[1,3,1,1,5,5]
[2,1,1,4,1,4]=>[3,5,3,3,1,1]
[2,1,1,4,4,1]=>[2,4,2,2,1,1]
[2,1,4,1,1,4]=>[3,5,3,1,3,1]
[2,1,4,1,4,1]=>[2,4,2,1,2,1]
[2,1,4,4,1,1]=>[2,4,2,1,1,2]
[2,4,1,1,1,4]=>[3,6,1,3,3,1]
[2,4,1,1,4,1]=>[2,5,1,2,2,1]
[2,4,1,4,1,1]=>[2,5,1,2,1,2]
[2,4,4,1,1,1]=>[2,6,1,1,2,2]
[4,1,1,1,2,4]=>[1,5,1,3,1,5]
[4,1,1,1,4,2]=>[1,5,1,5,1,3]
[4,1,1,2,1,4]=>[3,1,3,5,3,1]
[4,1,1,2,4,1]=>[2,1,2,4,2,1]
[4,1,1,4,1,2]=>[3,1,3,1,3,5]
[4,1,1,4,2,1]=>[2,1,2,1,4,2]
[4,1,2,1,1,4]=>[3,1,5,3,3,1]
[4,1,2,1,4,1]=>[2,1,4,2,2,1]
[4,1,2,4,1,1]=>[2,1,4,2,1,2]
[4,1,4,1,1,2]=>[3,1,1,3,3,5]
[4,1,4,1,2,1]=>[2,1,1,2,4,2]
[4,1,4,2,1,1]=>[2,1,1,4,2,2]
[4,2,1,1,1,4]=>[3,1,6,3,3,1]
[4,2,1,1,4,1]=>[2,1,5,2,2,1]
[4,2,1,4,1,1]=>[2,1,5,2,1,2]
[4,2,4,1,1,1]=>[2,1,6,1,2,2]
[4,4,1,1,1,2]=>[3,1,1,3,3,6]
[4,4,1,1,2,1]=>[2,1,1,2,5,2]
[4,4,1,2,1,1]=>[2,1,1,5,2,2]
[4,4,2,1,1,1]=>[2,1,1,6,2,2]
[1,1,1,2,4,5]=>[1,1,4,1,2,5]
[1,1,1,2,5,4]=>[1,1,5,2,1,4]
[1,1,1,4,2,5]=>[1,1,4,1,2,6]
[1,1,1,4,5,2]=>[2,2,5,2,3,1]
[1,1,1,5,2,4]=>[1,1,6,2,1,4]
[1,1,1,5,4,2]=>[2,2,1,5,2,3]
[1,1,2,1,4,5]=>[1,1,5,1,2,4]
[1,1,2,1,5,4]=>[1,1,4,2,1,5]
[1,1,2,4,1,5]=>[1,1,6,1,2,4]
[1,1,2,4,5,1]=>[2,2,1,5,3,2]
[1,1,2,5,1,4]=>[1,1,4,2,1,6]
[1,1,2,5,4,1]=>[2,2,5,3,2,1]
[1,1,4,1,2,5]=>[1,1,5,1,2,6]
[1,1,4,1,5,2]=>[2,2,6,2,3,1]
[1,1,4,2,1,5]=>[1,1,6,1,2,5]
[1,1,4,2,5,1]=>[2,2,1,6,3,2]
[1,1,4,5,1,2]=>[3,3,1,2,3,4]
[1,1,4,5,2,1]=>[3,3,2,1,4,3]
[1,1,5,1,2,4]=>[1,1,6,2,1,5]
[1,1,5,1,4,2]=>[2,2,1,6,2,3]
[1,1,5,2,1,4]=>[1,1,5,2,1,6]
[1,1,5,2,4,1]=>[2,2,6,3,2,1]
[1,1,5,4,1,2]=>[3,3,2,1,3,4]
[1,1,5,4,2,1]=>[3,3,1,2,4,3]
[1,2,1,1,4,5]=>[1,1,5,1,2,3]
[1,2,1,1,5,4]=>[1,1,3,2,1,5]
[1,2,1,4,1,5]=>[1,1,6,1,2,3]
[1,2,1,4,5,1]=>[2,2,1,4,3,2]
[1,2,1,5,1,4]=>[1,1,3,2,1,6]
[1,2,1,5,4,1]=>[2,2,4,3,2,1]
[1,2,4,1,1,5]=>[1,6,1,1,2,3]
[1,2,4,1,5,1]=>[2,1,2,4,3,2]
[1,2,4,5,1,1]=>[2,1,4,3,2,2]
[1,2,5,1,1,4]=>[1,3,2,1,1,6]
[1,2,5,1,4,1]=>[2,4,3,2,2,1]
[1,2,5,4,1,1]=>[2,4,3,2,1,2]
[1,4,1,1,2,5]=>[1,5,1,1,2,6]
[1,4,1,1,5,2]=>[2,6,2,2,3,1]
[1,4,1,2,1,5]=>[1,6,1,1,2,5]
[1,4,1,2,5,1]=>[2,1,2,6,3,2]
[1,4,1,5,1,2]=>[3,1,3,2,3,4]
[1,4,1,5,2,1]=>[3,2,3,1,4,3]
[1,4,2,1,1,5]=>[1,6,1,1,2,4]
[1,4,2,1,5,1]=>[2,1,2,5,3,2]
[1,4,2,5,1,1]=>[2,1,5,3,2,2]
[1,4,5,1,1,2]=>[3,1,2,3,3,4]
[1,4,5,1,2,1]=>[3,2,1,3,4,3]
[1,4,5,2,1,1]=>[2,1,6,3,2,2]
[1,5,1,1,2,4]=>[1,6,1,2,1,5]
[1,5,1,1,4,2]=>[2,1,2,6,2,3]
[1,5,1,2,1,4]=>[1,5,1,2,1,6]
[1,5,1,2,4,1]=>[2,6,2,3,2,1]
[1,5,1,4,1,2]=>[3,2,3,1,3,4]
[1,5,1,4,2,1]=>[3,1,3,2,4,3]
[1,5,2,1,1,4]=>[1,4,2,1,1,6]
[1,5,2,1,4,1]=>[2,5,3,2,2,1]
[1,5,2,4,1,1]=>[2,5,3,2,1,2]
[1,5,4,1,1,2]=>[3,2,1,3,3,4]
[1,5,4,1,2,1]=>[3,1,2,3,4,3]
[1,5,4,2,1,1]=>[2,6,1,3,2,2]
[2,1,1,1,4,5]=>[1,1,5,1,3,2]
[2,1,1,1,5,4]=>[1,1,2,3,1,5]
[2,1,1,4,1,5]=>[1,1,6,1,3,2]
[2,1,1,4,5,1]=>[2,2,1,3,4,2]
[2,1,1,5,1,4]=>[1,1,2,3,1,6]
[2,1,1,5,4,1]=>[2,2,3,4,2,1]
[2,1,4,1,1,5]=>[1,6,1,1,3,2]
[2,1,4,1,5,1]=>[2,1,2,3,4,2]
[2,1,4,5,1,1]=>[2,1,3,4,2,2]
[2,1,5,1,1,4]=>[1,2,3,1,1,6]
[2,1,5,1,4,1]=>[2,3,4,2,2,1]
[2,1,5,4,1,1]=>[2,3,4,2,1,2]
[2,4,1,1,1,5]=>[1,6,1,1,4,2]
[2,4,1,1,5,1]=>[2,1,2,3,5,2]
[2,4,1,5,1,1]=>[2,1,3,5,2,2]
[2,4,5,1,1,1]=>[2,1,3,6,2,2]
[2,5,1,1,1,4]=>[1,2,4,1,1,6]
[2,5,1,1,4,1]=>[2,3,5,2,2,1]
[2,5,1,4,1,1]=>[2,3,5,2,1,2]
[2,5,4,1,1,1]=>[2,3,6,1,2,2]
[4,1,1,1,2,5]=>[1,5,1,1,3,6]
[4,1,1,1,5,2]=>[2,6,2,2,4,1]
[4,1,1,2,1,5]=>[1,6,1,1,3,5]
[4,1,1,2,5,1]=>[2,1,2,6,4,2]
[4,1,1,5,1,2]=>[3,1,3,2,3,5]
[4,1,1,5,2,1]=>[3,2,3,1,5,3]
[4,1,2,1,1,5]=>[1,6,1,1,3,4]
[4,1,2,1,5,1]=>[2,1,2,5,4,2]
[4,1,2,5,1,1]=>[2,1,5,4,2,2]
[4,1,5,1,1,2]=>[3,1,2,3,3,5]
[4,1,5,1,2,1]=>[3,2,1,3,5,3]
[4,1,5,2,1,1]=>[2,1,6,4,2,2]
[4,2,1,1,1,5]=>[1,6,1,1,4,3]
[4,2,1,1,5,1]=>[2,1,2,4,5,2]
[4,2,1,5,1,1]=>[2,1,4,5,2,2]
[4,2,5,1,1,1]=>[2,1,4,6,2,2]
[4,5,1,1,1,2]=>[3,1,2,3,3,6]
[4,5,1,1,2,1]=>[3,2,1,3,6,3]
[4,5,1,2,1,1]=>[2,1,6,5,2,2]
[4,5,2,1,1,1]=>[2,1,5,6,2,2]
[5,1,1,1,2,4]=>[1,6,1,3,1,5]
[5,1,1,1,4,2]=>[2,1,2,6,2,4]
[5,1,1,2,1,4]=>[1,5,1,3,1,6]
[5,1,1,2,4,1]=>[2,6,2,4,2,1]
[5,1,1,4,1,2]=>[3,2,3,1,3,5]
[5,1,1,4,2,1]=>[3,1,3,2,5,3]
[5,1,2,1,1,4]=>[1,4,3,1,1,6]
[5,1,2,1,4,1]=>[2,5,4,2,2,1]
[5,1,2,4,1,1]=>[2,5,4,2,1,2]
[5,1,4,1,1,2]=>[3,2,1,3,3,5]
[5,1,4,1,2,1]=>[3,1,2,3,5,3]
[5,1,4,2,1,1]=>[2,6,1,4,2,2]
[5,2,1,1,1,4]=>[1,3,4,1,1,6]
[5,2,1,1,4,1]=>[2,4,5,2,2,1]
[5,2,1,4,1,1]=>[2,4,5,2,1,2]
[5,2,4,1,1,1]=>[2,4,6,1,2,2]
[5,4,1,1,1,2]=>[3,2,1,3,3,6]
[5,4,1,1,2,1]=>[3,1,2,3,6,3]
[5,4,1,2,1,1]=>[2,6,1,5,2,2]
[5,4,2,1,1,1]=>[2,5,1,6,2,2]
[1,1,1,2,4,6]=>[1,1,2,1,4,6]
[1,1,1,2,6,4]=>[2,2,3,2,5,1]
[1,1,1,4,2,6]=>[1,1,2,1,4,5]
[1,1,1,4,6,2]=>[1,1,5,4,1,2]
[1,1,1,6,2,4]=>[2,2,1,3,2,5]
[1,1,1,6,4,2]=>[1,1,6,4,1,2]
[1,1,2,1,4,6]=>[1,1,2,1,5,6]
[1,1,2,1,6,4]=>[2,2,3,2,6,1]
[1,1,2,4,1,6]=>[1,1,2,1,6,5]
[1,1,2,4,6,1]=>[2,2,3,2,1,6]
[1,1,2,6,1,4]=>[3,3,4,3,1,2]
[1,1,2,6,4,1]=>[3,3,4,3,2,1]
[1,1,4,1,2,6]=>[1,1,2,1,5,4]
[1,1,4,1,6,2]=>[1,1,4,5,1,2]
[1,1,4,2,1,6]=>[1,1,2,1,6,4]
[1,1,4,2,6,1]=>[2,2,3,2,1,5]
[1,1,4,6,1,2]=>[1,1,4,6,1,2]
[1,1,4,6,2,1]=>[2,2,5,1,3,2]
[1,1,6,1,2,4]=>[2,2,1,3,2,6]
[1,1,6,1,4,2]=>[1,1,6,5,1,2]
[1,1,6,2,1,4]=>[3,3,2,4,3,1]
[1,1,6,2,4,1]=>[3,3,1,4,3,2]
[1,1,6,4,1,2]=>[1,1,5,6,1,2]
[1,1,6,4,2,1]=>[2,2,6,1,3,2]
[1,2,1,1,4,6]=>[1,2,1,1,5,6]
[1,2,1,1,6,4]=>[2,3,2,2,6,1]
[1,2,1,4,1,6]=>[1,2,1,1,6,5]
[1,2,1,4,6,1]=>[2,3,2,2,1,6]
[1,2,1,6,1,4]=>[3,4,3,3,1,2]
[1,2,1,6,4,1]=>[3,4,3,3,2,1]
[1,2,4,1,1,6]=>[1,2,1,1,6,4]
[1,2,4,1,6,1]=>[2,3,2,2,1,5]
[1,2,4,6,1,1]=>[2,3,2,5,1,2]
[1,2,6,1,1,4]=>[3,4,3,2,3,1]
[1,2,6,1,4,1]=>[3,4,3,1,3,2]
[1,2,6,4,1,1]=>[2,3,2,6,1,2]
[1,4,1,1,2,6]=>[1,1,2,1,5,3]
[1,4,1,1,6,2]=>[1,1,3,5,1,2]
[1,4,1,2,1,6]=>[1,1,2,1,6,3]
[1,4,1,2,6,1]=>[2,2,3,2,1,4]
[1,4,1,6,1,2]=>[1,1,3,6,1,2]
[1,4,1,6,2,1]=>[2,2,4,1,3,2]
[1,4,2,1,1,6]=>[1,2,1,1,6,3]
[1,4,2,1,6,1]=>[2,3,2,2,1,4]
[1,4,2,6,1,1]=>[2,3,2,4,1,2]
[1,4,6,1,1,2]=>[1,3,6,1,1,2]
[1,4,6,1,2,1]=>[2,4,1,2,3,2]
[1,4,6,2,1,1]=>[2,4,1,3,2,2]
[1,6,1,1,2,4]=>[2,1,2,3,2,6]
[1,6,1,1,4,2]=>[1,6,1,5,1,2]
[1,6,1,2,1,4]=>[3,2,3,4,3,1]
[1,6,1,2,4,1]=>[3,1,3,4,3,2]
[1,6,1,4,1,2]=>[1,5,1,6,1,2]
[1,6,1,4,2,1]=>[2,6,2,1,3,2]
[1,6,2,1,1,4]=>[3,2,4,3,3,1]
[1,6,2,1,4,1]=>[3,1,4,3,3,2]
[1,6,2,4,1,1]=>[2,6,3,2,1,2]
[1,6,4,1,1,2]=>[1,4,6,1,1,2]
[1,6,4,1,2,1]=>[2,5,1,2,3,2]
[1,6,4,2,1,1]=>[2,5,1,3,2,2]
[2,1,1,1,4,6]=>[1,3,1,1,5,6]
[2,1,1,1,6,4]=>[2,4,2,2,6,1]
[2,1,1,4,1,6]=>[1,3,1,1,6,5]
[2,1,1,4,6,1]=>[2,4,2,2,1,6]
[2,1,1,6,1,4]=>[3,5,3,3,1,2]
[2,1,1,6,4,1]=>[3,5,3,3,2,1]
[2,1,4,1,1,6]=>[1,3,1,1,6,4]
[2,1,4,1,6,1]=>[2,4,2,2,1,5]
[2,1,4,6,1,1]=>[2,4,2,5,1,2]
[2,1,6,1,1,4]=>[3,5,3,2,3,1]
[2,1,6,1,4,1]=>[3,5,3,1,3,2]
[2,1,6,4,1,1]=>[2,4,2,6,1,2]
[2,4,1,1,1,6]=>[1,4,1,1,6,3]
[2,4,1,1,6,1]=>[2,5,2,2,1,4]
[2,4,1,6,1,1]=>[2,5,2,4,1,2]
[2,4,6,1,1,1]=>[2,6,4,1,2,2]
[2,6,1,1,1,4]=>[3,6,2,3,3,1]
[2,6,1,1,4,1]=>[3,6,1,3,3,2]
[2,6,1,4,1,1]=>[2,5,6,2,1,2]
[2,6,4,1,1,1]=>[2,6,5,1,2,2]
[4,1,1,1,2,6]=>[1,1,3,1,5,2]
[4,1,1,1,6,2]=>[1,1,2,5,1,3]
[4,1,1,2,1,6]=>[1,1,3,1,6,2]
[4,1,1,2,6,1]=>[2,2,4,2,1,3]
[4,1,1,6,1,2]=>[1,1,2,6,1,3]
[4,1,1,6,2,1]=>[2,2,3,1,4,2]
[4,1,2,1,1,6]=>[1,3,1,1,6,2]
[4,1,2,1,6,1]=>[2,4,2,2,1,3]
[4,1,2,6,1,1]=>[2,4,2,3,1,2]
[4,1,6,1,1,2]=>[1,2,6,1,1,3]
[4,1,6,1,2,1]=>[2,3,1,2,4,2]
[4,1,6,2,1,1]=>[2,3,1,4,2,2]
[4,2,1,1,1,6]=>[1,4,1,1,6,2]
[4,2,1,1,6,1]=>[2,5,2,2,1,3]
[4,2,1,6,1,1]=>[2,5,2,3,1,2]
[4,2,6,1,1,1]=>[2,6,3,1,2,2]
[4,6,1,1,1,2]=>[1,2,6,1,1,4]
[4,6,1,1,2,1]=>[2,3,1,2,5,2]
[4,6,1,2,1,1]=>[2,3,1,5,2,2]
[4,6,2,1,1,1]=>[2,3,1,6,2,2]
[6,1,1,1,2,4]=>[2,1,2,4,2,6]
[6,1,1,1,4,2]=>[1,6,1,5,1,3]
[6,1,1,2,1,4]=>[3,2,3,5,3,1]
[6,1,1,2,4,1]=>[3,1,3,5,3,2]
[6,1,1,4,1,2]=>[1,5,1,6,1,3]
[6,1,1,4,2,1]=>[2,6,2,1,4,2]
[6,1,2,1,1,4]=>[3,2,5,3,3,1]
[6,1,2,1,4,1]=>[3,1,5,3,3,2]
[6,1,2,4,1,1]=>[2,6,4,2,1,2]
[6,1,4,1,1,2]=>[1,4,6,1,1,3]
[6,1,4,1,2,1]=>[2,5,1,2,4,2]
[6,1,4,2,1,1]=>[2,5,1,4,2,2]
[6,2,1,1,1,4]=>[3,2,6,3,3,1]
[6,2,1,1,4,1]=>[3,1,6,3,3,2]
[6,2,1,4,1,1]=>[2,6,5,2,1,2]
[6,2,4,1,1,1]=>[2,5,6,1,2,2]
[6,4,1,1,1,2]=>[1,3,6,1,1,4]
[6,4,1,1,2,1]=>[2,4,1,2,5,2]
[6,4,1,2,1,1]=>[2,4,1,5,2,2]
[6,4,2,1,1,1]=>[2,4,1,6,2,2]
[1,1,1,2,5,5]=>[1,1,1,2,5,5]
[1,1,1,5,2,5]=>[3,3,3,4,1,1]
[1,1,1,5,5,2]=>[2,2,2,3,1,1]
[1,1,2,1,5,5]=>[1,1,1,2,4,4]
[1,1,2,5,1,5]=>[1,1,4,1,2,4]
[1,1,2,5,5,1]=>[1,1,4,4,2,1]
[1,1,5,1,2,5]=>[3,3,1,3,4,1]
[1,1,5,1,5,2]=>[2,2,1,2,3,1]
[1,1,5,2,1,5]=>[1,1,5,1,2,5]
[1,1,5,2,5,1]=>[1,1,5,5,2,1]
[1,1,5,5,1,2]=>[2,2,1,1,2,3]
[1,1,5,5,2,1]=>[3,3,1,1,4,3]
[1,2,1,1,5,5]=>[1,1,1,2,3,3]
[1,2,1,5,1,5]=>[1,1,3,1,2,3]
[1,2,1,5,5,1]=>[1,1,3,3,2,1]
[1,2,5,1,1,5]=>[1,3,1,1,2,3]
[1,2,5,1,5,1]=>[1,3,1,3,2,1]
[1,2,5,5,1,1]=>[1,3,3,2,1,1]
[1,5,1,1,2,5]=>[3,1,3,3,4,1]
[1,5,1,1,5,2]=>[2,1,2,2,3,1]
[1,5,1,2,1,5]=>[1,5,1,1,2,5]
[1,5,1,2,5,1]=>[1,5,1,5,2,1]
[1,5,1,5,1,2]=>[2,1,2,1,2,3]
[1,5,1,5,2,1]=>[3,1,3,1,4,3]
[1,5,2,1,1,5]=>[1,4,1,1,2,4]
[1,5,2,1,5,1]=>[1,4,1,4,2,1]
[1,5,2,5,1,1]=>[1,4,4,2,1,1]
[1,5,5,1,1,2]=>[2,1,1,2,2,3]
[1,5,5,1,2,1]=>[3,1,1,3,4,3]
[1,5,5,2,1,1]=>[1,5,5,2,1,1]
[2,1,1,1,5,5]=>[1,1,1,3,2,2]
[2,1,1,5,1,5]=>[1,1,2,1,3,2]
[2,1,1,5,5,1]=>[1,1,2,2,3,1]
[2,1,5,1,1,5]=>[1,2,1,1,3,2]
[2,1,5,1,5,1]=>[1,2,1,2,3,1]
[2,1,5,5,1,1]=>[1,2,2,3,1,1]
[2,5,1,1,1,5]=>[1,2,1,1,4,2]
[2,5,1,1,5,1]=>[1,2,1,2,4,1]
[2,5,1,5,1,1]=>[1,2,2,4,1,1]
[2,5,5,1,1,1]=>[1,2,2,5,1,1]
[5,1,1,1,2,5]=>[3,1,3,3,5,1]
[5,1,1,1,5,2]=>[2,1,2,2,4,1]
[5,1,1,2,1,5]=>[1,5,1,1,3,5]
[5,1,1,2,5,1]=>[1,5,1,5,3,1]
[5,1,1,5,1,2]=>[2,1,2,1,2,4]
[5,1,1,5,2,1]=>[3,1,3,1,5,3]
[5,1,2,1,1,5]=>[1,4,1,1,3,4]
[5,1,2,1,5,1]=>[1,4,1,4,3,1]
[5,1,2,5,1,1]=>[1,4,4,3,1,1]
[5,1,5,1,1,2]=>[2,1,1,2,2,4]
[5,1,5,1,2,1]=>[3,1,1,3,5,3]
[5,1,5,2,1,1]=>[1,5,5,3,1,1]
[5,2,1,1,1,5]=>[1,3,1,1,4,3]
[5,2,1,1,5,1]=>[1,3,1,3,4,1]
[5,2,1,5,1,1]=>[1,3,3,4,1,1]
[5,2,5,1,1,1]=>[1,3,3,5,1,1]
[5,5,1,1,1,2]=>[2,1,1,2,2,5]
[5,5,1,1,2,1]=>[3,1,1,3,6,3]
[5,5,1,2,1,1]=>[1,5,5,4,1,1]
[5,5,2,1,1,1]=>[1,4,4,5,1,1]
[1,1,1,2,5,6]=>[1,1,1,2,5,6]
[1,1,1,2,6,5]=>[2,2,2,3,6,1]
[1,1,1,5,2,6]=>[1,1,1,2,6,5]
[1,1,1,5,6,2]=>[2,2,2,3,1,6]
[1,1,1,6,2,5]=>[3,3,3,4,1,2]
[1,1,1,6,5,2]=>[3,3,3,4,2,1]
[1,1,2,1,5,6]=>[1,1,1,2,4,6]
[1,1,2,1,6,5]=>[2,2,2,3,5,1]
[1,1,2,5,1,6]=>[1,1,1,2,4,5]
[1,1,2,5,6,1]=>[1,1,5,4,2,1]
[1,1,2,6,1,5]=>[2,2,1,2,3,5]
[1,1,2,6,5,1]=>[1,1,6,4,2,1]
[1,1,5,1,2,6]=>[1,1,1,2,6,4]
[1,1,5,1,6,2]=>[2,2,2,3,1,5]
[1,1,5,2,1,6]=>[1,1,1,2,5,4]
[1,1,5,2,6,1]=>[1,1,4,5,2,1]
[1,1,5,6,1,2]=>[2,2,5,1,2,3]
[1,1,5,6,2,1]=>[1,1,4,6,2,1]
[1,1,6,1,2,5]=>[3,3,2,3,4,1]
[1,1,6,1,5,2]=>[3,3,1,3,4,2]
[1,1,6,2,1,5]=>[2,2,1,2,3,6]
[1,1,6,2,5,1]=>[1,1,6,5,2,1]
[1,1,6,5,1,2]=>[2,2,6,1,2,3]
[1,1,6,5,2,1]=>[1,1,5,6,2,1]
[1,2,1,1,5,6]=>[1,1,1,2,3,6]
[1,2,1,1,6,5]=>[2,2,2,3,4,1]
[1,2,1,5,1,6]=>[1,1,1,2,3,5]
[1,2,1,5,6,1]=>[1,1,5,3,2,1]
[1,2,1,6,1,5]=>[2,2,1,2,3,4]
[1,2,1,6,5,1]=>[1,1,6,3,2,1]
[1,2,5,1,1,6]=>[1,1,1,2,3,4]
[1,2,5,1,6,1]=>[1,1,4,3,2,1]
[1,2,5,6,1,1]=>[1,4,3,2,1,1]
[1,2,6,1,1,5]=>[2,1,2,2,3,4]
[1,2,6,1,5,1]=>[1,6,1,3,2,1]
[1,2,6,5,1,1]=>[1,5,3,2,1,1]
[1,5,1,1,2,6]=>[1,1,1,2,6,3]
[1,5,1,1,6,2]=>[2,2,2,3,1,4]
[1,5,1,2,1,6]=>[1,1,1,2,5,3]
[1,5,1,2,6,1]=>[1,1,3,5,2,1]
[1,5,1,6,1,2]=>[2,2,4,1,2,3]
[1,5,1,6,2,1]=>[1,1,3,6,2,1]
[1,5,2,1,1,6]=>[1,1,1,2,4,3]
[1,5,2,1,6,1]=>[1,1,3,4,2,1]
[1,5,2,6,1,1]=>[1,3,4,2,1,1]
[1,5,6,1,1,2]=>[2,4,1,2,2,3]
[1,5,6,1,2,1]=>[1,3,6,1,2,1]
[1,5,6,2,1,1]=>[1,3,5,2,1,1]
[1,6,1,1,2,5]=>[3,2,3,3,4,1]
[1,6,1,1,5,2]=>[3,1,3,3,4,2]
[1,6,1,2,1,5]=>[2,1,2,2,3,6]
[1,6,1,2,5,1]=>[1,6,1,5,2,1]
[1,6,1,5,1,2]=>[2,6,2,1,2,3]
[1,6,1,5,2,1]=>[1,5,1,6,2,1]
[1,6,2,1,1,5]=>[2,1,2,2,3,5]
[1,6,2,1,5,1]=>[1,6,1,4,2,1]
[1,6,2,5,1,1]=>[1,5,4,2,1,1]
[1,6,5,1,1,2]=>[2,5,1,2,2,3]
[1,6,5,1,2,1]=>[1,4,6,1,2,1]
[1,6,5,2,1,1]=>[1,4,5,2,1,1]
[2,1,1,1,5,6]=>[1,1,1,3,2,6]
[2,1,1,1,6,5]=>[2,2,2,4,3,1]
[2,1,1,5,1,6]=>[1,1,1,3,2,5]
[2,1,1,5,6,1]=>[1,1,5,2,3,1]
[2,1,1,6,1,5]=>[2,2,1,2,4,3]
[2,1,1,6,5,1]=>[1,1,6,2,3,1]
[2,1,5,1,1,6]=>[1,1,1,3,2,4]
[2,1,5,1,6,1]=>[1,1,4,2,3,1]
[2,1,5,6,1,1]=>[1,4,2,3,1,1]
[2,1,6,1,1,5]=>[2,1,2,2,4,3]
[2,1,6,1,5,1]=>[1,6,1,2,3,1]
[2,1,6,5,1,1]=>[1,5,2,3,1,1]
[2,5,1,1,1,6]=>[1,1,1,4,2,3]
[2,5,1,1,6,1]=>[1,1,3,2,4,1]
[2,5,1,6,1,1]=>[1,3,2,4,1,1]
[2,5,6,1,1,1]=>[1,3,2,5,1,1]
[2,6,1,1,1,5]=>[2,1,2,2,5,3]
[2,6,1,1,5,1]=>[1,6,1,2,4,1]
[2,6,1,5,1,1]=>[1,5,2,4,1,1]
[2,6,5,1,1,1]=>[1,4,2,5,1,1]
[5,1,1,1,2,6]=>[1,1,1,3,6,2]
[5,1,1,1,6,2]=>[2,2,2,4,1,3]
[5,1,1,2,1,6]=>[1,1,1,3,5,2]
[5,1,1,2,6,1]=>[1,1,2,5,3,1]
[5,1,1,6,1,2]=>[2,2,3,1,2,4]
[5,1,1,6,2,1]=>[1,1,2,6,3,1]
[5,1,2,1,1,6]=>[1,1,1,3,4,2]
[5,1,2,1,6,1]=>[1,1,2,4,3,1]
[5,1,2,6,1,1]=>[1,2,4,3,1,1]
[5,1,6,1,1,2]=>[2,3,1,2,2,4]
[5,1,6,1,2,1]=>[1,2,6,1,3,1]
[5,1,6,2,1,1]=>[1,2,5,3,1,1]
[5,2,1,1,1,6]=>[1,1,1,4,3,2]
[5,2,1,1,6,1]=>[1,1,2,3,4,1]
[5,2,1,6,1,1]=>[1,2,3,4,1,1]
[5,2,6,1,1,1]=>[1,2,3,5,1,1]
[5,6,1,1,1,2]=>[2,3,1,2,2,5]
[5,6,1,1,2,1]=>[1,2,6,1,4,1]
[5,6,1,2,1,1]=>[1,2,5,4,1,1]
[5,6,2,1,1,1]=>[1,2,4,5,1,1]
[6,1,1,1,2,5]=>[3,2,3,3,5,1]
[6,1,1,1,5,2]=>[3,1,3,3,5,2]
[6,1,1,2,1,5]=>[2,1,2,2,4,6]
[6,1,1,2,5,1]=>[1,6,1,5,3,1]
[6,1,1,5,1,2]=>[2,6,2,1,2,4]
[6,1,1,5,2,1]=>[1,5,1,6,3,1]
[6,1,2,1,1,5]=>[2,1,2,2,4,5]
[6,1,2,1,5,1]=>[1,6,1,4,3,1]
[6,1,2,5,1,1]=>[1,5,4,3,1,1]
[6,1,5,1,1,2]=>[2,5,1,2,2,4]
[6,1,5,1,2,1]=>[1,4,6,1,3,1]
[6,1,5,2,1,1]=>[1,4,5,3,1,1]
[6,2,1,1,1,5]=>[2,1,2,2,5,4]
[6,2,1,1,5,1]=>[1,6,1,3,4,1]
[6,2,1,5,1,1]=>[1,5,3,4,1,1]
[6,2,5,1,1,1]=>[1,4,3,5,1,1]
[6,5,1,1,1,2]=>[2,4,1,2,2,5]
[6,5,1,1,2,1]=>[1,3,6,1,4,1]
[6,5,1,2,1,1]=>[1,3,5,4,1,1]
[6,5,2,1,1,1]=>[1,3,4,5,1,1]
[1,1,1,3,3,3]=>[1,1,1,3,3,3]
[1,1,3,1,3,3]=>[1,1,3,1,3,3]
[1,1,3,3,1,3]=>[1,1,3,3,1,3]
[1,1,3,3,3,1]=>[1,1,3,3,3,1]
[1,3,1,1,3,3]=>[1,1,4,1,4,4]
[1,3,1,3,1,3]=>[1,1,4,4,1,4]
[1,3,1,3,3,1]=>[1,1,4,4,4,1]
[1,3,3,1,1,3]=>[4,4,1,1,4,1]
[1,3,3,1,3,1]=>[4,4,1,1,1,4]
[1,3,3,3,1,1]=>[3,3,1,1,1,3]
[3,1,1,1,3,3]=>[1,4,1,1,4,4]
[3,1,1,3,1,3]=>[1,4,1,4,1,4]
[3,1,1,3,3,1]=>[1,4,1,4,4,1]
[3,1,3,1,1,3]=>[4,1,4,1,4,1]
[3,1,3,1,3,1]=>[4,1,4,1,1,4]
[3,1,3,3,1,1]=>[3,1,3,1,1,3]
[3,3,1,1,1,3]=>[4,1,1,4,4,1]
[3,3,1,1,3,1]=>[4,1,1,4,1,4]
[3,3,1,3,1,1]=>[3,1,1,3,1,3]
[3,3,3,1,1,1]=>[3,1,1,1,3,3]
[1,1,1,3,3,4]=>[1,1,3,3,1,4]
[1,1,1,3,4,3]=>[1,1,3,4,1,3]
[1,1,1,4,3,3]=>[1,1,4,1,3,3]
[1,1,3,1,3,4]=>[1,1,3,3,1,5]
[1,1,3,1,4,3]=>[1,1,3,5,1,3]
[1,1,3,3,1,4]=>[1,1,3,3,1,6]
[1,1,3,3,4,1]=>[2,2,4,4,2,1]
[1,1,3,4,1,3]=>[1,1,3,6,1,3]
[1,1,3,4,3,1]=>[2,2,4,1,4,2]
[1,1,4,1,3,3]=>[1,1,5,1,3,3]
[1,1,4,3,1,3]=>[1,1,6,3,1,3]
[1,1,4,3,3,1]=>[2,2,1,4,4,2]
[1,3,1,1,3,4]=>[1,1,4,4,1,5]
[1,3,1,1,4,3]=>[1,1,4,5,1,4]
[1,3,1,3,1,4]=>[1,1,4,4,1,6]
[1,3,1,3,4,1]=>[2,2,5,5,2,1]
[1,3,1,4,1,3]=>[1,1,4,6,1,4]
[1,3,1,4,3,1]=>[2,2,5,1,5,2]
[1,3,3,1,1,4]=>[4,4,1,1,4,2]
[1,3,3,1,4,1]=>[4,4,1,1,4,3]
[1,3,3,4,1,1]=>[3,3,1,1,2,3]
[1,3,4,1,1,3]=>[4,4,1,2,4,1]
[1,3,4,1,3,1]=>[4,4,1,3,1,4]
[1,3,4,3,1,1]=>[3,3,1,2,1,3]
[1,4,1,1,3,3]=>[1,1,5,1,4,4]
[1,4,1,3,1,3]=>[1,1,6,4,1,4]
[1,4,1,3,3,1]=>[2,2,1,5,5,2]
[1,4,3,1,1,3]=>[4,4,2,1,4,1]
[1,4,3,1,3,1]=>[4,4,3,1,1,4]
[1,4,3,3,1,1]=>[3,3,2,1,1,3]
[3,1,1,1,3,4]=>[1,4,1,4,1,5]
[3,1,1,1,4,3]=>[1,4,1,5,1,4]
[3,1,1,3,1,4]=>[1,4,1,4,1,6]
[3,1,1,3,4,1]=>[2,5,2,5,2,1]
[3,1,1,4,1,3]=>[1,4,1,6,1,4]
[3,1,1,4,3,1]=>[2,5,2,1,5,2]
[3,1,3,1,1,4]=>[4,1,4,1,4,2]
[3,1,3,1,4,1]=>[4,1,4,1,4,3]
[3,1,3,4,1,1]=>[3,1,3,1,2,3]
[3,1,4,1,1,3]=>[4,1,4,2,4,1]
[3,1,4,1,3,1]=>[4,1,4,3,1,4]
[3,1,4,3,1,1]=>[3,1,3,2,1,3]
[3,3,1,1,1,4]=>[4,1,1,4,4,2]
[3,3,1,1,4,1]=>[4,1,1,4,4,3]
[3,3,1,4,1,1]=>[3,1,1,3,2,3]
[3,3,4,1,1,1]=>[3,1,1,2,3,3]
[3,4,1,1,1,3]=>[4,1,2,4,4,1]
[3,4,1,1,3,1]=>[4,1,3,4,1,4]
[3,4,1,3,1,1]=>[3,1,2,3,1,3]
[3,4,3,1,1,1]=>[3,1,2,1,3,3]
[4,1,1,1,3,3]=>[1,5,1,1,4,4]
[4,1,1,3,1,3]=>[1,6,1,4,1,4]
[4,1,1,3,3,1]=>[2,1,2,5,5,2]
[4,1,3,1,1,3]=>[4,2,4,1,4,1]
[4,1,3,1,3,1]=>[4,3,4,1,1,4]
[4,1,3,3,1,1]=>[3,2,3,1,1,3]
[4,3,1,1,1,3]=>[4,2,1,4,4,1]
[4,3,1,1,3,1]=>[4,3,1,4,1,4]
[4,3,1,3,1,1]=>[3,2,1,3,1,3]
[4,3,3,1,1,1]=>[3,2,1,1,3,3]
[1,1,1,3,3,5]=>[1,1,1,3,3,5]
[1,1,1,3,5,3]=>[1,1,1,3,5,3]
[1,1,1,5,3,3]=>[1,1,1,3,6,3]
[1,1,3,1,3,5]=>[1,1,1,3,3,4]
[1,1,3,1,5,3]=>[1,1,1,3,4,3]
[1,1,3,3,1,5]=>[1,1,3,1,3,4]
[1,1,3,3,5,1]=>[1,1,3,4,3,1]
[1,1,3,5,1,3]=>[1,1,4,3,1,3]
[1,1,3,5,3,1]=>[1,1,4,3,3,1]
[1,1,5,1,3,3]=>[1,1,6,1,3,3]
[1,1,5,3,1,3]=>[1,1,5,3,1,3]
[1,1,5,3,3,1]=>[1,1,5,3,3,1]
[1,3,1,1,3,5]=>[1,1,1,4,4,3]
[1,3,1,1,5,3]=>[1,1,1,4,3,4]
[1,3,1,3,1,5]=>[1,1,4,1,4,3]
[1,3,1,3,5,1]=>[1,1,4,3,4,1]
[1,3,1,5,1,3]=>[1,1,3,4,1,4]
[1,3,1,5,3,1]=>[1,1,3,4,4,1]
[1,3,3,1,1,5]=>[1,1,5,1,5,3]
[1,3,3,1,5,1]=>[1,1,5,3,5,1]
[1,3,3,5,1,1]=>[3,3,1,5,1,3]
[1,3,5,1,1,3]=>[1,1,3,5,1,5]
[1,3,5,1,3,1]=>[1,1,3,5,5,1]
[1,3,5,3,1,1]=>[3,3,5,1,1,3]
[1,5,1,1,3,3]=>[1,1,6,1,4,4]
[1,5,1,3,1,3]=>[1,1,5,4,1,4]
[1,5,1,3,3,1]=>[1,1,5,4,4,1]
[1,5,3,1,1,3]=>[1,1,4,5,1,5]
[1,5,3,1,3,1]=>[1,1,4,5,5,1]
[1,5,3,3,1,1]=>[3,3,6,1,1,3]
[3,1,1,1,3,5]=>[1,1,1,4,4,2]
[3,1,1,1,5,3]=>[1,1,1,4,2,4]
[3,1,1,3,1,5]=>[1,1,4,1,4,2]
[3,1,1,3,5,1]=>[1,1,4,2,4,1]
[3,1,1,5,1,3]=>[1,1,2,4,1,4]
[3,1,1,5,3,1]=>[1,1,2,4,4,1]
[3,1,3,1,1,5]=>[1,1,5,1,5,2]
[3,1,3,1,5,1]=>[1,1,5,2,5,1]
[3,1,3,5,1,1]=>[3,3,1,4,1,3]
[3,1,5,1,1,3]=>[1,1,2,5,1,5]
[3,1,5,1,3,1]=>[1,1,2,5,5,1]
[3,1,5,3,1,1]=>[3,3,4,1,1,3]
[3,3,1,1,1,5]=>[1,5,1,1,5,2]
[3,3,1,1,5,1]=>[1,5,1,2,5,1]
[3,3,1,5,1,1]=>[3,1,3,4,1,3]
[3,3,5,1,1,1]=>[3,1,4,1,3,3]
[3,5,1,1,1,3]=>[1,2,5,1,1,5]
[3,5,1,1,3,1]=>[1,2,5,1,5,1]
[3,5,1,3,1,1]=>[3,4,1,3,1,3]
[3,5,3,1,1,1]=>[3,4,1,1,3,3]
[5,1,1,1,3,3]=>[1,6,1,1,4,4]
[5,1,1,3,1,3]=>[1,5,1,4,1,4]
[5,1,1,3,3,1]=>[1,5,1,4,4,1]
[5,1,3,1,1,3]=>[1,4,1,5,1,5]
[5,1,3,1,3,1]=>[1,4,1,5,5,1]
[5,1,3,3,1,1]=>[3,6,3,1,1,3]
[5,3,1,1,1,3]=>[1,3,5,1,1,5]
[5,3,1,1,3,1]=>[1,3,5,1,5,1]
[5,3,1,3,1,1]=>[3,5,1,3,1,3]
[5,3,3,1,1,1]=>[3,5,1,1,3,3]
[1,1,1,3,3,6]=>[1,1,1,3,3,6]
[1,1,1,3,6,3]=>[2,2,2,4,4,1]
[1,1,1,6,3,3]=>[2,2,2,4,1,4]
[1,1,3,1,3,6]=>[1,1,3,1,3,6]
[1,1,3,1,6,3]=>[2,2,4,2,4,1]
[1,1,3,3,1,6]=>[1,1,3,1,3,5]
[1,1,3,3,6,1]=>[1,1,3,5,3,1]
[1,1,3,6,1,3]=>[2,2,4,1,2,4]
[1,1,3,6,3,1]=>[1,1,3,6,3,1]
[1,1,6,1,3,3]=>[2,2,1,2,4,4]
[1,1,6,3,1,3]=>[2,2,1,4,2,4]
[1,1,6,3,3,1]=>[1,1,6,3,3,1]
[1,3,1,1,3,6]=>[1,1,4,1,4,6]
[1,3,1,1,6,3]=>[2,2,5,2,5,1]
[1,3,1,3,1,6]=>[1,1,4,1,4,5]
[1,3,1,3,6,1]=>[1,1,4,5,4,1]
[1,3,1,6,1,3]=>[2,2,5,1,2,5]
[1,3,1,6,3,1]=>[1,1,4,6,4,1]
[1,3,3,1,1,6]=>[1,1,5,1,5,4]
[1,3,3,1,6,1]=>[1,1,5,4,5,1]
[1,3,3,6,1,1]=>[3,3,1,6,1,3]
[1,3,6,1,1,3]=>[4,4,1,3,4,1]
[1,3,6,1,3,1]=>[4,4,1,2,1,4]
[1,3,6,3,1,1]=>[4,4,2,1,2,4]
[1,6,1,1,3,3]=>[2,2,1,2,5,5]
[1,6,1,3,1,3]=>[2,2,1,5,2,5]
[1,6,1,3,3,1]=>[1,1,6,4,4,1]
[1,6,3,1,1,3]=>[4,4,3,1,4,1]
[1,6,3,1,3,1]=>[4,4,2,1,1,4]
[1,6,3,3,1,1]=>[4,4,1,2,2,4]
[3,1,1,1,3,6]=>[1,4,1,1,4,6]
[3,1,1,1,6,3]=>[2,5,2,2,5,1]
[3,1,1,3,1,6]=>[1,4,1,1,4,5]
[3,1,1,3,6,1]=>[1,4,1,5,4,1]
[3,1,1,6,1,3]=>[2,5,2,1,2,5]
[3,1,1,6,3,1]=>[1,4,1,6,4,1]
[3,1,3,1,1,6]=>[1,5,1,1,5,4]
[3,1,3,1,6,1]=>[1,5,1,4,5,1]
[3,1,3,6,1,1]=>[3,1,3,6,1,3]
[3,1,6,1,1,3]=>[4,1,4,3,4,1]
[3,1,6,1,3,1]=>[4,1,4,2,1,4]
[3,1,6,3,1,1]=>[4,2,4,1,2,4]
[3,3,1,1,1,6]=>[1,5,1,1,5,3]
[3,3,1,1,6,1]=>[1,5,1,3,5,1]
[3,3,1,6,1,1]=>[3,1,3,5,1,3]
[3,3,6,1,1,1]=>[3,1,5,1,3,3]
[3,6,1,1,1,3]=>[4,1,3,4,4,1]
[3,6,1,1,3,1]=>[4,1,2,4,1,4]
[3,6,1,3,1,1]=>[4,2,1,4,2,4]
[3,6,3,1,1,1]=>[3,1,6,1,3,3]
[6,1,1,1,3,3]=>[2,1,2,2,5,5]
[6,1,1,3,1,3]=>[2,1,2,5,2,5]
[6,1,1,3,3,1]=>[1,6,1,4,4,1]
[6,1,3,1,1,3]=>[4,3,4,1,4,1]
[6,1,3,1,3,1]=>[4,2,4,1,1,4]
[6,1,3,3,1,1]=>[4,1,4,2,2,4]
[6,3,1,1,1,3]=>[4,3,1,4,4,1]
[6,3,1,1,3,1]=>[4,2,1,4,1,4]
[6,3,1,3,1,1]=>[4,1,2,4,2,4]
[6,3,3,1,1,1]=>[3,6,1,1,3,3]
[1,1,1,3,4,4]=>[1,1,3,1,4,4]
[1,1,1,4,3,4]=>[1,1,4,3,1,4]
[1,1,1,4,4,3]=>[1,1,4,4,1,3]
[1,1,3,1,4,4]=>[1,1,3,1,5,5]
[1,1,3,4,1,4]=>[3,3,5,3,1,1]
[1,1,3,4,4,1]=>[2,2,4,2,1,1]
[1,1,4,1,3,4]=>[1,1,5,3,1,5]
[1,1,4,1,4,3]=>[1,1,5,5,1,3]
[1,1,4,3,1,4]=>[3,3,1,5,3,1]
[1,1,4,3,4,1]=>[2,2,1,4,2,1]
[1,1,4,4,1,3]=>[3,3,1,1,3,5]
[1,1,4,4,3,1]=>[2,2,1,1,4,2]
[1,3,1,1,4,4]=>[1,1,4,1,5,5]
[1,3,1,4,1,4]=>[3,3,6,3,1,1]
[1,3,1,4,4,1]=>[2,2,5,2,1,1]
[1,3,4,1,1,4]=>[4,4,1,2,4,2]
[1,3,4,1,4,1]=>[2,2,6,1,2,1]
[1,3,4,4,1,1]=>[3,3,1,2,2,3]
[1,4,1,1,3,4]=>[1,1,5,4,1,5]
[1,4,1,1,4,3]=>[1,1,5,5,1,4]
[1,4,1,3,1,4]=>[3,3,1,6,3,1]
[1,4,1,3,4,1]=>[2,2,1,5,2,1]
[1,4,1,4,1,3]=>[3,3,1,1,3,6]
[1,4,1,4,3,1]=>[2,2,1,1,5,2]
[1,4,3,1,1,4]=>[4,4,2,1,4,2]
[1,4,3,1,4,1]=>[2,2,1,6,2,1]
[1,4,3,4,1,1]=>[3,3,2,1,2,3]
[1,4,4,1,1,3]=>[4,4,2,2,4,1]
[1,4,4,1,3,1]=>[2,2,1,1,6,2]
[1,4,4,3,1,1]=>[3,3,2,2,1,3]
[3,1,1,1,4,4]=>[1,4,1,1,5,5]
[3,1,1,4,1,4]=>[3,6,3,3,1,1]
[3,1,1,4,4,1]=>[2,5,2,2,1,1]
[3,1,4,1,1,4]=>[4,1,4,2,4,2]
[3,1,4,1,4,1]=>[2,6,2,1,2,1]
[3,1,4,4,1,1]=>[3,1,3,2,2,3]
[3,4,1,1,1,4]=>[4,1,2,4,4,2]
[3,4,1,1,4,1]=>[2,6,1,2,2,1]
[3,4,1,4,1,1]=>[3,1,2,3,2,3]
[3,4,4,1,1,1]=>[3,1,2,2,3,3]
[4,1,1,1,3,4]=>[1,5,1,4,1,5]
[4,1,1,1,4,3]=>[1,5,1,5,1,4]
[4,1,1,3,1,4]=>[3,1,3,6,3,1]
[4,1,1,3,4,1]=>[2,1,2,5,2,1]
[4,1,1,4,1,3]=>[3,1,3,1,3,6]
[4,1,1,4,3,1]=>[2,1,2,1,5,2]
[4,1,3,1,1,4]=>[4,2,4,1,4,2]
[4,1,3,1,4,1]=>[2,1,2,6,2,1]
[4,1,3,4,1,1]=>[3,2,3,1,2,3]
[4,1,4,1,1,3]=>[4,2,4,2,4,1]
[4,1,4,1,3,1]=>[2,1,2,1,6,2]
[4,1,4,3,1,1]=>[3,2,3,2,1,3]
[4,3,1,1,1,4]=>[4,2,1,4,4,2]
[4,3,1,1,4,1]=>[2,1,6,2,2,1]
[4,3,1,4,1,1]=>[3,2,1,3,2,3]
[4,3,4,1,1,1]=>[3,2,1,2,3,3]
[4,4,1,1,1,3]=>[4,2,2,4,4,1]
[4,4,1,1,3,1]=>[2,1,1,2,6,2]
[4,4,1,3,1,1]=>[3,2,2,3,1,3]
[4,4,3,1,1,1]=>[3,2,2,1,3,3]
[1,1,1,3,4,5]=>[1,1,4,1,3,5]
[1,1,1,3,5,4]=>[1,1,5,3,1,4]
[1,1,1,4,3,5]=>[1,1,4,1,3,6]
[1,1,1,4,5,3]=>[2,2,5,2,4,1]
[1,1,1,5,3,4]=>[1,1,6,3,1,4]
[1,1,1,5,4,3]=>[2,2,1,5,2,4]
[1,1,3,1,4,5]=>[1,1,5,1,3,4]
[1,1,3,1,5,4]=>[1,1,4,3,1,5]
[1,1,3,4,1,5]=>[1,1,6,1,3,4]
[1,1,3,4,5,1]=>[2,2,1,5,4,2]
[1,1,3,5,1,4]=>[1,1,4,3,1,6]
[1,1,3,5,4,1]=>[2,2,5,4,2,1]
[1,1,4,1,3,5]=>[1,1,5,1,3,6]
[1,1,4,1,5,3]=>[2,2,6,2,4,1]
[1,1,4,3,1,5]=>[1,1,6,1,3,5]
[1,1,4,3,5,1]=>[2,2,1,6,4,2]
[1,1,4,5,1,3]=>[3,3,1,2,3,5]
[1,1,4,5,3,1]=>[3,3,2,1,5,3]
[1,1,5,1,3,4]=>[1,1,6,3,1,5]
[1,1,5,1,4,3]=>[2,2,1,6,2,4]
[1,1,5,3,1,4]=>[1,1,5,3,1,6]
[1,1,5,3,4,1]=>[2,2,6,4,2,1]
[1,1,5,4,1,3]=>[3,3,2,1,3,5]
[1,1,5,4,3,1]=>[3,3,1,2,5,3]
[1,3,1,1,4,5]=>[1,1,5,1,4,3]
[1,3,1,1,5,4]=>[1,1,3,4,1,5]
[1,3,1,4,1,5]=>[1,1,6,1,4,3]
[1,3,1,4,5,1]=>[2,2,1,4,5,2]
[1,3,1,5,1,4]=>[1,1,3,4,1,6]
[1,3,1,5,4,1]=>[2,2,4,5,2,1]
[1,3,4,1,1,5]=>[1,1,6,1,5,3]
[1,3,4,1,5,1]=>[2,2,1,4,6,2]
[1,3,4,5,1,1]=>[3,3,2,5,1,3]
[1,3,5,1,1,4]=>[1,1,3,5,1,6]
[1,3,5,1,4,1]=>[2,2,4,6,2,1]
[1,3,5,4,1,1]=>[3,3,5,1,2,3]
[1,4,1,1,3,5]=>[1,1,5,1,4,6]
[1,4,1,1,5,3]=>[2,2,6,2,5,1]
[1,4,1,3,1,5]=>[1,1,6,1,4,5]
[1,4,1,3,5,1]=>[2,2,1,6,5,2]
[1,4,1,5,1,3]=>[3,3,1,2,3,6]
[1,4,1,5,3,1]=>[3,3,2,1,6,3]
[1,4,3,1,1,5]=>[1,1,6,1,5,4]
[1,4,3,1,5,1]=>[2,2,1,5,6,2]
[1,4,3,5,1,1]=>[3,3,2,6,1,3]
[1,4,5,1,1,3]=>[4,4,2,3,4,1]
[1,4,5,1,3,1]=>[4,4,3,2,1,4]
[1,4,5,3,1,1]=>[4,4,3,1,2,4]
[1,5,1,1,3,4]=>[1,1,6,4,1,5]
[1,5,1,1,4,3]=>[2,2,1,6,2,5]
[1,5,1,3,1,4]=>[1,1,5,4,1,6]
[1,5,1,3,4,1]=>[2,2,6,5,2,1]
[1,5,1,4,1,3]=>[3,3,2,1,3,6]
[1,5,1,4,3,1]=>[3,3,1,2,6,3]
[1,5,3,1,1,4]=>[1,1,4,5,1,6]
[1,5,3,1,4,1]=>[2,2,5,6,2,1]
[1,5,3,4,1,1]=>[3,3,6,1,2,3]
[1,5,4,1,1,3]=>[4,4,3,2,4,1]
[1,5,4,1,3,1]=>[4,4,2,3,1,4]
[1,5,4,3,1,1]=>[4,4,1,3,2,4]
[3,1,1,1,4,5]=>[1,1,5,1,4,2]
[3,1,1,1,5,4]=>[1,1,2,4,1,5]
[3,1,1,4,1,5]=>[1,1,6,1,4,2]
[3,1,1,4,5,1]=>[2,2,1,3,5,2]
[3,1,1,5,1,4]=>[1,1,2,4,1,6]
[3,1,1,5,4,1]=>[2,2,3,5,2,1]
[3,1,4,1,1,5]=>[1,1,6,1,5,2]
[3,1,4,1,5,1]=>[2,2,1,3,6,2]
[3,1,4,5,1,1]=>[3,3,2,4,1,3]
[3,1,5,1,1,4]=>[1,1,2,5,1,6]
[3,1,5,1,4,1]=>[2,2,3,6,2,1]
[3,1,5,4,1,1]=>[3,3,4,1,2,3]
[3,4,1,1,1,5]=>[1,6,1,1,5,2]
[3,4,1,1,5,1]=>[2,1,2,3,6,2]
[3,4,1,5,1,1]=>[3,2,3,4,1,3]
[3,4,5,1,1,1]=>[3,2,4,1,3,3]
[3,5,1,1,1,4]=>[1,2,5,1,1,6]
[3,5,1,1,4,1]=>[2,3,6,2,2,1]
[3,5,1,4,1,1]=>[3,4,1,3,2,3]
[3,5,4,1,1,1]=>[3,4,1,2,3,3]
[4,1,1,1,3,5]=>[1,5,1,1,4,6]
[4,1,1,1,5,3]=>[2,6,2,2,5,1]
[4,1,1,3,1,5]=>[1,6,1,1,4,5]
[4,1,1,3,5,1]=>[2,1,2,6,5,2]
[4,1,1,5,1,3]=>[3,1,3,2,3,6]
[4,1,1,5,3,1]=>[3,2,3,1,6,3]
[4,1,3,1,1,5]=>[1,6,1,1,5,4]
[4,1,3,1,5,1]=>[2,1,2,5,6,2]
[4,1,3,5,1,1]=>[3,2,3,6,1,3]
[4,1,5,1,1,3]=>[4,2,4,3,4,1]
[4,1,5,1,3,1]=>[4,3,4,2,1,4]
[4,1,5,3,1,1]=>[4,3,4,1,2,4]
[4,3,1,1,1,5]=>[1,6,1,1,5,3]
[4,3,1,1,5,1]=>[2,1,2,4,6,2]
[4,3,1,5,1,1]=>[3,2,3,5,1,3]
[4,3,5,1,1,1]=>[3,2,5,1,3,3]
[4,5,1,1,1,3]=>[4,2,3,4,4,1]
[4,5,1,1,3,1]=>[4,3,2,4,1,4]
[4,5,1,3,1,1]=>[4,3,1,4,2,4]
[4,5,3,1,1,1]=>[3,2,6,1,3,3]
[5,1,1,1,3,4]=>[1,6,1,4,1,5]
[5,1,1,1,4,3]=>[2,1,2,6,2,5]
[5,1,1,3,1,4]=>[1,5,1,4,1,6]
[5,1,1,3,4,1]=>[2,6,2,5,2,1]
[5,1,1,4,1,3]=>[3,2,3,1,3,6]
[5,1,1,4,3,1]=>[3,1,3,2,6,3]
[5,1,3,1,1,4]=>[1,4,1,5,1,6]
[5,1,3,1,4,1]=>[2,5,2,6,2,1]
[5,1,3,4,1,1]=>[3,6,3,1,2,3]
[5,1,4,1,1,3]=>[4,3,4,2,4,1]
[5,1,4,1,3,1]=>[4,2,4,3,1,4]
[5,1,4,3,1,1]=>[4,1,4,3,2,4]
[5,3,1,1,1,4]=>[1,3,5,1,1,6]
[5,3,1,1,4,1]=>[2,4,6,2,2,1]
[5,3,1,4,1,1]=>[3,5,1,3,2,3]
[5,3,4,1,1,1]=>[3,5,1,2,3,3]
[5,4,1,1,1,3]=>[4,3,2,4,4,1]
[5,4,1,1,3,1]=>[4,2,3,4,1,4]
[5,4,1,3,1,1]=>[4,1,3,4,2,4]
[5,4,3,1,1,1]=>[3,6,2,1,3,3]
[1,1,1,3,4,6]=>[1,1,3,1,4,6]
[1,1,1,3,6,4]=>[2,2,4,2,5,1]
[1,1,1,4,3,6]=>[1,1,3,1,4,5]
[1,1,1,4,6,3]=>[1,1,5,4,1,3]
[1,1,1,6,3,4]=>[2,2,1,4,2,5]
[1,1,1,6,4,3]=>[1,1,6,4,1,3]
[1,1,3,1,4,6]=>[1,1,3,1,5,6]
[1,1,3,1,6,4]=>[2,2,4,2,6,1]
[1,1,3,4,1,6]=>[1,1,3,1,6,5]
[1,1,3,4,6,1]=>[2,2,4,2,1,6]
[1,1,3,6,1,4]=>[3,3,5,3,1,2]
[1,1,3,6,4,1]=>[3,3,5,3,2,1]
[1,1,4,1,3,6]=>[1,1,3,1,5,4]
[1,1,4,1,6,3]=>[1,1,4,5,1,3]
[1,1,4,3,1,6]=>[1,1,3,1,6,4]
[1,1,4,3,6,1]=>[2,2,4,2,1,5]
[1,1,4,6,1,3]=>[1,1,4,6,1,3]
[1,1,4,6,3,1]=>[2,2,5,1,4,2]
[1,1,6,1,3,4]=>[2,2,1,4,2,6]
[1,1,6,1,4,3]=>[1,1,6,5,1,3]
[1,1,6,3,1,4]=>[3,3,2,5,3,1]
[1,1,6,3,4,1]=>[3,3,1,5,3,2]
[1,1,6,4,1,3]=>[1,1,5,6,1,3]
[1,1,6,4,3,1]=>[2,2,6,1,4,2]
[1,3,1,1,4,6]=>[1,1,4,1,5,6]
[1,3,1,1,6,4]=>[2,2,5,2,6,1]
[1,3,1,4,1,6]=>[1,1,4,1,6,5]
[1,3,1,4,6,1]=>[2,2,5,2,1,6]
[1,3,1,6,1,4]=>[3,3,6,3,1,2]
[1,3,1,6,4,1]=>[3,3,6,3,2,1]
[1,3,4,1,1,6]=>[1,1,5,1,6,4]
[1,3,4,1,6,1]=>[2,2,6,2,1,5]
[1,3,4,6,1,1]=>[3,3,1,6,2,3]
[1,3,6,1,1,4]=>[4,4,1,3,4,2]
[1,3,6,1,4,1]=>[4,4,1,2,4,3]
[1,3,6,4,1,1]=>[4,4,2,1,3,4]
[1,4,1,1,3,6]=>[1,1,4,1,5,3]
[1,4,1,1,6,3]=>[1,1,3,5,1,4]
[1,4,1,3,1,6]=>[1,1,4,1,6,3]
[1,4,1,3,6,1]=>[2,2,5,2,1,4]
[1,4,1,6,1,3]=>[1,1,3,6,1,4]
[1,4,1,6,3,1]=>[2,2,4,1,5,2]
[1,4,3,1,1,6]=>[1,1,5,1,6,3]
[1,4,3,1,6,1]=>[2,2,6,2,1,4]
[1,4,3,6,1,1]=>[3,3,1,5,2,3]
[1,4,6,1,1,3]=>[1,1,3,6,1,5]
[1,4,6,1,3,1]=>[2,2,4,1,6,2]
[1,4,6,3,1,1]=>[3,3,5,2,1,3]
[1,6,1,1,3,4]=>[2,2,1,5,2,6]
[1,6,1,1,4,3]=>[1,1,6,5,1,4]
[1,6,1,3,1,4]=>[3,3,2,6,3,1]
[1,6,1,3,4,1]=>[3,3,1,6,3,2]
[1,6,1,4,1,3]=>[1,1,5,6,1,4]
[1,6,1,4,3,1]=>[2,2,6,1,5,2]
[1,6,3,1,1,4]=>[4,4,3,1,4,2]
[1,6,3,1,4,1]=>[4,4,2,1,4,3]
[1,6,3,4,1,1]=>[4,4,1,2,3,4]
[1,6,4,1,1,3]=>[1,1,4,6,1,5]
[1,6,4,1,3,1]=>[2,2,5,1,6,2]
[1,6,4,3,1,1]=>[3,3,6,2,1,3]
[3,1,1,1,4,6]=>[1,4,1,1,5,6]
[3,1,1,1,6,4]=>[2,5,2,2,6,1]
[3,1,1,4,1,6]=>[1,4,1,1,6,5]
[3,1,1,4,6,1]=>[2,5,2,2,1,6]
[3,1,1,6,1,4]=>[3,6,3,3,1,2]
[3,1,1,6,4,1]=>[3,6,3,3,2,1]
[3,1,4,1,1,6]=>[1,5,1,1,6,4]
[3,1,4,1,6,1]=>[2,6,2,2,1,5]
[3,1,4,6,1,1]=>[3,1,3,6,2,3]
[3,1,6,1,1,4]=>[4,1,4,3,4,2]
[3,1,6,1,4,1]=>[4,1,4,2,4,3]
[3,1,6,4,1,1]=>[4,2,4,1,3,4]
[3,4,1,1,1,6]=>[1,5,1,1,6,3]
[3,4,1,1,6,1]=>[2,6,2,2,1,4]
[3,4,1,6,1,1]=>[3,1,3,5,2,3]
[3,4,6,1,1,1]=>[3,1,5,2,3,3]
[3,6,1,1,1,4]=>[4,1,3,4,4,2]
[3,6,1,1,4,1]=>[4,1,2,4,4,3]
[3,6,1,4,1,1]=>[4,2,1,4,3,4]
[3,6,4,1,1,1]=>[3,1,6,2,3,3]
[4,1,1,1,3,6]=>[1,1,4,1,5,2]
[4,1,1,1,6,3]=>[1,1,2,5,1,4]
[4,1,1,3,1,6]=>[1,1,4,1,6,2]
[4,1,1,3,6,1]=>[2,2,5,2,1,3]
[4,1,1,6,1,3]=>[1,1,2,6,1,4]
[4,1,1,6,3,1]=>[2,2,3,1,5,2]
[4,1,3,1,1,6]=>[1,1,5,1,6,2]
[4,1,3,1,6,1]=>[2,2,6,2,1,3]
[4,1,3,6,1,1]=>[3,3,1,4,2,3]
[4,1,6,1,1,3]=>[1,1,2,6,1,5]
[4,1,6,1,3,1]=>[2,2,3,1,6,2]
[4,1,6,3,1,1]=>[3,3,4,2,1,3]
[4,3,1,1,1,6]=>[1,5,1,1,6,2]
[4,3,1,1,6,1]=>[2,6,2,2,1,3]
[4,3,1,6,1,1]=>[3,1,3,4,2,3]
[4,3,6,1,1,1]=>[3,1,4,2,3,3]
[4,6,1,1,1,3]=>[1,2,6,1,1,5]
[4,6,1,1,3,1]=>[2,3,1,2,6,2]
[4,6,1,3,1,1]=>[3,4,2,3,1,3]
[4,6,3,1,1,1]=>[3,4,2,1,3,3]
[6,1,1,1,3,4]=>[2,1,2,5,2,6]
[6,1,1,1,4,3]=>[1,6,1,5,1,4]
[6,1,1,3,1,4]=>[3,2,3,6,3,1]
[6,1,1,3,4,1]=>[3,1,3,6,3,2]
[6,1,1,4,1,3]=>[1,5,1,6,1,4]
[6,1,1,4,3,1]=>[2,6,2,1,5,2]
[6,1,3,1,1,4]=>[4,3,4,1,4,2]
[6,1,3,1,4,1]=>[4,2,4,1,4,3]
[6,1,3,4,1,1]=>[4,1,4,2,3,4]
[6,1,4,1,1,3]=>[1,4,1,6,1,5]
[6,1,4,1,3,1]=>[2,5,2,1,6,2]
[6,1,4,3,1,1]=>[3,6,3,2,1,3]
[6,3,1,1,1,4]=>[4,3,1,4,4,2]
[6,3,1,1,4,1]=>[4,2,1,4,4,3]
[6,3,1,4,1,1]=>[4,1,2,4,3,4]
[6,3,4,1,1,1]=>[3,6,1,2,3,3]
[6,4,1,1,1,3]=>[1,3,6,1,1,5]
[6,4,1,1,3,1]=>[2,4,1,2,6,2]
[6,4,1,3,1,1]=>[3,5,2,3,1,3]
[6,4,3,1,1,1]=>[3,5,2,1,3,3]
[1,1,1,3,5,5]=>[1,1,1,3,5,5]
[1,1,1,5,3,5]=>[3,3,3,5,1,1]
[1,1,1,5,5,3]=>[2,2,2,4,1,1]
[1,1,3,1,5,5]=>[1,1,1,3,4,4]
[1,1,3,5,1,5]=>[1,1,4,1,3,4]
[1,1,3,5,5,1]=>[1,1,4,4,3,1]
[1,1,5,1,3,5]=>[3,3,1,3,5,1]
[1,1,5,1,5,3]=>[2,2,1,2,4,1]
[1,1,5,3,1,5]=>[1,1,5,1,3,5]
[1,1,5,3,5,1]=>[1,1,5,5,3,1]
[1,1,5,5,1,3]=>[2,2,1,1,2,4]
[1,1,5,5,3,1]=>[3,3,1,1,5,3]
[1,3,1,1,5,5]=>[1,1,1,4,3,3]
[1,3,1,5,1,5]=>[1,1,3,1,4,3]
[1,3,1,5,5,1]=>[1,1,3,3,4,1]
[1,3,5,1,1,5]=>[1,1,3,1,5,3]
[1,3,5,1,5,1]=>[1,1,3,3,5,1]
[1,3,5,5,1,1]=>[1,1,3,3,6,1]
[1,5,1,1,3,5]=>[3,3,1,3,6,1]
[1,5,1,1,5,3]=>[2,2,1,2,5,1]
[1,5,1,3,1,5]=>[1,1,5,1,4,5]
[1,5,1,3,5,1]=>[1,1,5,5,4,1]
[1,5,1,5,1,3]=>[2,2,1,1,2,5]
[1,5,1,5,3,1]=>[3,3,1,1,6,3]
[1,5,3,1,1,5]=>[1,1,4,1,5,4]
[1,5,3,1,5,1]=>[1,1,4,4,5,1]
[1,5,3,5,1,1]=>[1,1,4,4,6,1]
[1,5,5,1,1,3]=>[2,2,1,1,2,6]
[1,5,5,1,3,1]=>[4,4,2,2,1,4]
[1,5,5,3,1,1]=>[4,4,1,1,2,4]
[3,1,1,1,5,5]=>[1,1,1,4,2,2]
[3,1,1,5,1,5]=>[1,1,2,1,4,2]
[3,1,1,5,5,1]=>[1,1,2,2,4,1]
[3,1,5,1,1,5]=>[1,1,2,1,5,2]
[3,1,5,1,5,1]=>[1,1,2,2,5,1]
[3,1,5,5,1,1]=>[1,1,2,2,6,1]
[3,5,1,1,1,5]=>[1,2,1,1,5,2]
[3,5,1,1,5,1]=>[1,2,1,2,5,1]
[3,5,1,5,1,1]=>[1,2,1,2,6,1]
[3,5,5,1,1,1]=>[1,2,2,6,1,1]
[5,1,1,1,3,5]=>[3,1,3,3,6,1]
[5,1,1,1,5,3]=>[2,1,2,2,5,1]
[5,1,1,3,1,5]=>[1,5,1,1,4,5]
[5,1,1,3,5,1]=>[1,5,1,5,4,1]
[5,1,1,5,1,3]=>[2,1,2,1,2,5]
[5,1,1,5,3,1]=>[3,1,3,1,6,3]
[5,1,3,1,1,5]=>[1,4,1,1,5,4]
[5,1,3,1,5,1]=>[1,4,1,4,5,1]
[5,1,3,5,1,1]=>[1,4,1,4,6,1]
[5,1,5,1,1,3]=>[2,1,2,1,2,6]
[5,1,5,1,3,1]=>[4,2,4,2,1,4]
[5,1,5,3,1,1]=>[4,1,4,1,2,4]
[5,3,1,1,1,5]=>[1,3,1,1,5,3]
[5,3,1,1,5,1]=>[1,3,1,3,5,1]
[5,3,1,5,1,1]=>[1,3,1,3,6,1]
[5,3,5,1,1,1]=>[1,3,3,6,1,1]
[5,5,1,1,1,3]=>[2,1,1,2,2,6]
[5,5,1,1,3,1]=>[4,2,2,4,1,4]
[5,5,1,3,1,1]=>[4,1,1,4,2,4]
[5,5,3,1,1,1]=>[1,4,4,6,1,1]
[1,1,1,3,5,6]=>[1,1,1,3,5,6]
[1,1,1,3,6,5]=>[2,2,2,4,6,1]
[1,1,1,5,3,6]=>[1,1,1,3,6,5]
[1,1,1,5,6,3]=>[2,2,2,4,1,6]
[1,1,1,6,3,5]=>[3,3,3,5,1,2]
[1,1,1,6,5,3]=>[3,3,3,5,2,1]
[1,1,3,1,5,6]=>[1,1,1,3,4,6]
[1,1,3,1,6,5]=>[2,2,2,4,5,1]
[1,1,3,5,1,6]=>[1,1,1,3,4,5]
[1,1,3,5,6,1]=>[1,1,5,4,3,1]
[1,1,3,6,1,5]=>[2,2,1,2,4,5]
[1,1,3,6,5,1]=>[1,1,6,4,3,1]
[1,1,5,1,3,6]=>[1,1,1,3,6,4]
[1,1,5,1,6,3]=>[2,2,2,4,1,5]
[1,1,5,3,1,6]=>[1,1,1,3,5,4]
[1,1,5,3,6,1]=>[1,1,4,5,3,1]
[1,1,5,6,1,3]=>[2,2,5,1,2,4]
[1,1,5,6,3,1]=>[1,1,4,6,3,1]
[1,1,6,1,3,5]=>[3,3,2,3,5,1]
[1,1,6,1,5,3]=>[3,3,1,3,5,2]
[1,1,6,3,1,5]=>[2,2,1,2,4,6]
[1,1,6,3,5,1]=>[1,1,6,5,3,1]
[1,1,6,5,1,3]=>[2,2,6,1,2,4]
[1,1,6,5,3,1]=>[1,1,5,6,3,1]
[1,3,1,1,5,6]=>[1,1,1,4,3,6]
[1,3,1,1,6,5]=>[2,2,2,5,4,1]
[1,3,1,5,1,6]=>[1,1,1,4,3,5]
[1,3,1,5,6,1]=>[1,1,5,3,4,1]
[1,3,1,6,1,5]=>[2,2,1,2,5,4]
[1,3,1,6,5,1]=>[1,1,6,3,4,1]
[1,3,5,1,1,6]=>[1,1,1,5,3,4]
[1,3,5,1,6,1]=>[1,1,4,3,5,1]
[1,3,5,6,1,1]=>[1,1,4,3,6,1]
[1,3,6,1,1,5]=>[2,2,1,2,6,4]
[1,3,6,1,5,1]=>[1,1,6,3,5,1]
[1,3,6,5,1,1]=>[1,1,5,3,6,1]
[1,5,1,1,3,6]=>[1,1,1,4,6,3]
[1,5,1,1,6,3]=>[2,2,2,5,1,4]
[1,5,1,3,1,6]=>[1,1,1,4,5,3]
[1,5,1,3,6,1]=>[1,1,3,5,4,1]
[1,5,1,6,1,3]=>[2,2,4,1,2,5]
[1,5,1,6,3,1]=>[1,1,3,6,4,1]
[1,5,3,1,1,6]=>[1,1,1,5,4,3]
[1,5,3,1,6,1]=>[1,1,3,4,5,1]
[1,5,3,6,1,1]=>[1,1,3,4,6,1]
[1,5,6,1,1,3]=>[2,2,4,1,2,6]
[1,5,6,1,3,1]=>[1,1,3,6,5,1]
[1,5,6,3,1,1]=>[1,1,3,5,6,1]
[1,6,1,1,3,5]=>[3,3,2,3,6,1]
[1,6,1,1,5,3]=>[3,3,1,3,6,2]
[1,6,1,3,1,5]=>[2,2,1,2,5,6]
[1,6,1,3,5,1]=>[1,1,6,5,4,1]
[1,6,1,5,1,3]=>[2,2,6,1,2,5]
[1,6,1,5,3,1]=>[1,1,5,6,4,1]
[1,6,3,1,1,5]=>[2,2,1,2,6,5]
[1,6,3,1,5,1]=>[1,1,6,4,5,1]
[1,6,3,5,1,1]=>[1,1,5,4,6,1]
[1,6,5,1,1,3]=>[2,2,5,1,2,6]
[1,6,5,1,3,1]=>[1,1,4,6,5,1]
[1,6,5,3,1,1]=>[1,1,4,5,6,1]
[3,1,1,1,5,6]=>[1,1,1,4,2,6]
[3,1,1,1,6,5]=>[2,2,2,5,3,1]
[3,1,1,5,1,6]=>[1,1,1,4,2,5]
[3,1,1,5,6,1]=>[1,1,5,2,4,1]
[3,1,1,6,1,5]=>[2,2,1,2,5,3]
[3,1,1,6,5,1]=>[1,1,6,2,4,1]
[3,1,5,1,1,6]=>[1,1,1,5,2,4]
[3,1,5,1,6,1]=>[1,1,4,2,5,1]
[3,1,5,6,1,1]=>[1,1,4,2,6,1]
[3,1,6,1,1,5]=>[2,2,1,2,6,3]
[3,1,6,1,5,1]=>[1,1,6,2,5,1]
[3,1,6,5,1,1]=>[1,1,5,2,6,1]
[3,5,1,1,1,6]=>[1,1,1,5,2,3]
[3,5,1,1,6,1]=>[1,1,3,2,5,1]
[3,5,1,6,1,1]=>[1,1,3,2,6,1]
[3,5,6,1,1,1]=>[1,3,2,6,1,1]
[3,6,1,1,1,5]=>[2,1,2,2,6,3]
[3,6,1,1,5,1]=>[1,6,1,2,5,1]
[3,6,1,5,1,1]=>[1,5,1,2,6,1]
[3,6,5,1,1,1]=>[1,4,2,6,1,1]
[5,1,1,1,3,6]=>[1,1,1,4,6,2]
[5,1,1,1,6,3]=>[2,2,2,5,1,3]
[5,1,1,3,1,6]=>[1,1,1,4,5,2]
[5,1,1,3,6,1]=>[1,1,2,5,4,1]
[5,1,1,6,1,3]=>[2,2,3,1,2,5]
[5,1,1,6,3,1]=>[1,1,2,6,4,1]
[5,1,3,1,1,6]=>[1,1,1,5,4,2]
[5,1,3,1,6,1]=>[1,1,2,4,5,1]
[5,1,3,6,1,1]=>[1,1,2,4,6,1]
[5,1,6,1,1,3]=>[2,2,3,1,2,6]
[5,1,6,1,3,1]=>[1,1,2,6,5,1]
[5,1,6,3,1,1]=>[1,1,2,5,6,1]
[5,3,1,1,1,6]=>[1,1,1,5,3,2]
[5,3,1,1,6,1]=>[1,1,2,3,5,1]
[5,3,1,6,1,1]=>[1,1,2,3,6,1]
[5,3,6,1,1,1]=>[1,2,3,6,1,1]
[5,6,1,1,1,3]=>[2,3,1,2,2,6]
[5,6,1,1,3,1]=>[1,2,6,1,5,1]
[5,6,1,3,1,1]=>[1,2,5,1,6,1]
[5,6,3,1,1,1]=>[1,2,4,6,1,1]
[6,1,1,1,3,5]=>[3,2,3,3,6,1]
[6,1,1,1,5,3]=>[3,1,3,3,6,2]
[6,1,1,3,1,5]=>[2,1,2,2,5,6]
[6,1,1,3,5,1]=>[1,6,1,5,4,1]
[6,1,1,5,1,3]=>[2,6,2,1,2,5]
[6,1,1,5,3,1]=>[1,5,1,6,4,1]
[6,1,3,1,1,5]=>[2,1,2,2,6,5]
[6,1,3,1,5,1]=>[1,6,1,4,5,1]
[6,1,3,5,1,1]=>[1,5,1,4,6,1]
[6,1,5,1,1,3]=>[2,5,2,1,2,6]
[6,1,5,1,3,1]=>[1,4,1,6,5,1]
[6,1,5,3,1,1]=>[1,4,1,5,6,1]
[6,3,1,1,1,5]=>[2,1,2,2,6,4]
[6,3,1,1,5,1]=>[1,6,1,3,5,1]
[6,3,1,5,1,1]=>[1,5,1,3,6,1]
[6,3,5,1,1,1]=>[1,4,3,6,1,1]
[6,5,1,1,1,3]=>[2,4,1,2,2,6]
[6,5,1,1,3,1]=>[1,3,6,1,5,1]
[6,5,1,3,1,1]=>[1,3,5,1,6,1]
[6,5,3,1,1,1]=>[1,3,4,6,1,1]
[1,1,1,4,4,4]=>[1,1,1,4,4,4]
[1,1,4,1,4,4]=>[4,4,4,1,1,1]
[1,1,4,4,1,4]=>[3,3,3,1,1,1]
[1,1,4,4,4,1]=>[2,2,2,1,1,1]
[1,4,1,1,4,4]=>[4,4,1,4,1,1]
[1,4,1,4,1,4]=>[3,3,1,3,1,1]
[1,4,1,4,4,1]=>[2,2,1,2,1,1]
[1,4,4,1,1,4]=>[3,3,1,1,3,1]
[1,4,4,1,4,1]=>[2,2,1,1,2,1]
[1,4,4,4,1,1]=>[2,2,1,1,1,2]
[4,1,1,1,4,4]=>[4,1,4,4,1,1]
[4,1,1,4,1,4]=>[3,1,3,3,1,1]
[4,1,1,4,4,1]=>[2,1,2,2,1,1]
[4,1,4,1,1,4]=>[3,1,3,1,3,1]
[4,1,4,1,4,1]=>[2,1,2,1,2,1]
[4,1,4,4,1,1]=>[2,1,2,1,1,2]
[4,4,1,1,1,4]=>[3,1,1,3,3,1]
[4,4,1,1,4,1]=>[2,1,1,2,2,1]
[4,4,1,4,1,1]=>[2,1,1,2,1,2]
[4,4,4,1,1,1]=>[2,1,1,1,2,2]
[1,1,1,4,4,5]=>[1,1,1,4,4,5]
[1,1,1,4,5,4]=>[1,1,1,4,5,4]
[1,1,1,5,4,4]=>[1,1,1,4,6,4]
[1,1,4,1,4,5]=>[1,1,1,5,5,4]
[1,1,4,1,5,4]=>[1,1,1,5,4,5]
[1,1,4,4,1,5]=>[3,3,3,1,1,6]
[1,1,4,4,5,1]=>[2,2,2,1,1,5]
[1,1,4,5,1,4]=>[3,3,3,1,6,1]
[1,1,4,5,4,1]=>[2,2,2,1,5,1]
[1,1,5,1,4,4]=>[4,4,4,1,2,1]
[1,1,5,4,1,4]=>[4,4,4,2,1,2]
[1,1,5,4,4,1]=>[2,2,2,1,6,1]
[1,4,1,1,4,5]=>[1,1,1,5,5,3]
[1,4,1,1,5,4]=>[1,1,1,5,3,5]
[1,4,1,4,1,5]=>[3,3,3,1,1,5]
[1,4,1,4,5,1]=>[2,2,2,1,1,4]
[1,4,1,5,1,4]=>[3,3,3,1,5,1]
[1,4,1,5,4,1]=>[2,2,2,1,4,1]
[1,4,4,1,1,5]=>[3,3,1,3,1,5]
[1,4,4,1,5,1]=>[2,2,1,2,1,4]
[1,4,4,5,1,1]=>[2,2,1,4,1,2]
[1,4,5,1,1,4]=>[3,3,5,1,3,1]
[1,4,5,1,4,1]=>[2,2,4,1,2,1]
[1,4,5,4,1,1]=>[2,2,4,1,1,2]
[1,5,1,1,4,4]=>[4,4,2,4,1,1]
[1,5,1,4,1,4]=>[4,4,1,4,2,2]
[1,5,1,4,4,1]=>[2,2,6,2,1,1]
[1,5,4,1,1,4]=>[3,3,6,1,3,1]
[1,5,4,1,4,1]=>[2,2,5,1,2,1]
[1,5,4,4,1,1]=>[2,2,5,1,1,2]
[4,1,1,1,4,5]=>[1,1,1,5,5,2]
[4,1,1,1,5,4]=>[1,1,1,5,2,5]
[4,1,1,4,1,5]=>[3,3,3,1,1,4]
[4,1,1,4,5,1]=>[2,2,2,1,1,3]
[4,1,1,5,1,4]=>[3,3,3,1,4,1]
[4,1,1,5,4,1]=>[2,2,2,1,3,1]
[4,1,4,1,1,5]=>[3,3,1,3,1,4]
[4,1,4,1,5,1]=>[2,2,1,2,1,3]
[4,1,4,5,1,1]=>[2,2,1,3,1,2]
[4,1,5,1,1,4]=>[3,3,4,1,3,1]
[4,1,5,1,4,1]=>[2,2,3,1,2,1]
[4,1,5,4,1,1]=>[2,2,3,1,1,2]
[4,4,1,1,1,5]=>[3,1,3,3,1,4]
[4,4,1,1,5,1]=>[2,1,2,2,1,3]
[4,4,1,5,1,1]=>[2,1,2,3,1,2]
[4,4,5,1,1,1]=>[2,1,3,1,2,2]
[4,5,1,1,1,4]=>[3,4,1,3,3,1]
[4,5,1,1,4,1]=>[2,3,1,2,2,1]
[4,5,1,4,1,1]=>[2,3,1,2,1,2]
[4,5,4,1,1,1]=>[2,3,1,1,2,2]
[5,1,1,1,4,4]=>[4,2,4,4,1,1]
[5,1,1,4,1,4]=>[4,1,4,4,2,2]
[5,1,1,4,4,1]=>[2,6,2,2,1,1]
[5,1,4,1,1,4]=>[3,6,3,1,3,1]
[5,1,4,1,4,1]=>[2,5,2,1,2,1]
[5,1,4,4,1,1]=>[2,5,2,1,1,2]
[5,4,1,1,1,4]=>[3,5,1,3,3,1]
[5,4,1,1,4,1]=>[2,4,1,2,2,1]
[5,4,1,4,1,1]=>[2,4,1,2,1,2]
[5,4,4,1,1,1]=>[2,4,1,1,2,2]
[1,1,1,4,4,6]=>[1,1,1,4,4,6]
[1,1,1,4,6,4]=>[2,2,2,5,5,1]
[1,1,1,6,4,4]=>[2,2,2,5,1,5]
[1,1,4,1,4,6]=>[4,4,4,1,1,2]
[1,1,4,1,6,4]=>[4,4,4,1,1,3]
[1,1,4,4,1,6]=>[4,4,4,2,2,1]
[1,1,4,4,6,1]=>[2,2,2,1,1,6]
[1,1,4,6,1,4]=>[3,3,3,1,1,2]
[1,1,4,6,4,1]=>[3,3,3,2,2,1]
[1,1,6,1,4,4]=>[4,4,4,1,3,1]
[1,1,6,4,1,4]=>[3,3,3,1,2,1]
[1,1,6,4,4,1]=>[3,3,3,2,1,2]
[1,4,1,1,4,6]=>[4,4,1,4,1,2]
[1,4,1,1,6,4]=>[4,4,1,4,1,3]
[1,4,1,4,1,6]=>[4,4,2,4,2,1]
[1,4,1,4,6,1]=>[2,2,1,2,1,6]
[1,4,1,6,1,4]=>[3,3,1,3,1,2]
[1,4,1,6,4,1]=>[3,3,2,3,2,1]
[1,4,4,1,1,6]=>[3,3,1,3,1,6]
[1,4,4,1,6,1]=>[2,2,1,2,1,5]
[1,4,4,6,1,1]=>[2,2,1,5,1,2]
[1,4,6,1,1,4]=>[3,3,1,2,3,1]
[1,4,6,1,4,1]=>[3,3,2,1,3,2]
[1,4,6,4,1,1]=>[2,2,1,6,1,2]
[1,6,1,1,4,4]=>[4,4,3,4,1,1]
[1,6,1,4,1,4]=>[3,3,2,3,1,1]
[1,6,1,4,4,1]=>[3,3,1,3,2,2]
[1,6,4,1,1,4]=>[3,3,2,1,3,1]
[1,6,4,1,4,1]=>[3,3,1,2,3,2]
[1,6,4,4,1,1]=>[2,2,6,1,1,2]
[4,1,1,1,4,6]=>[4,1,4,4,1,2]
[4,1,1,1,6,4]=>[4,1,4,4,1,3]
[4,1,1,4,1,6]=>[4,2,4,4,2,1]
[4,1,1,4,6,1]=>[2,1,2,2,1,6]
[4,1,1,6,1,4]=>[3,1,3,3,1,2]
[4,1,1,6,4,1]=>[3,2,3,3,2,1]
[4,1,4,1,1,6]=>[3,1,3,3,1,6]
[4,1,4,1,6,1]=>[2,1,2,2,1,5]
[4,1,4,6,1,1]=>[2,1,2,5,1,2]
[4,1,6,1,1,4]=>[3,1,3,2,3,1]
[4,1,6,1,4,1]=>[3,2,3,1,3,2]
[4,1,6,4,1,1]=>[2,1,2,6,1,2]
[4,4,1,1,1,6]=>[3,1,3,3,1,5]
[4,4,1,1,6,1]=>[2,1,2,2,1,4]
[4,4,1,6,1,1]=>[2,1,2,4,1,2]
[4,4,6,1,1,1]=>[2,1,4,1,2,2]
[4,6,1,1,1,4]=>[3,1,2,3,3,1]
[4,6,1,1,4,1]=>[3,2,1,3,3,2]
[4,6,1,4,1,1]=>[2,1,6,2,1,2]
[4,6,4,1,1,1]=>[2,1,5,1,2,2]
[6,1,1,1,4,4]=>[4,3,4,4,1,1]
[6,1,1,4,1,4]=>[3,2,3,3,1,1]
[6,1,1,4,4,1]=>[3,1,3,3,2,2]
[6,1,4,1,1,4]=>[3,2,3,1,3,1]
[6,1,4,1,4,1]=>[3,1,3,2,3,2]
[6,1,4,4,1,1]=>[2,6,2,1,1,2]
[6,4,1,1,1,4]=>[3,2,1,3,3,1]
[6,4,1,1,4,1]=>[3,1,2,3,3,2]
[6,4,1,4,1,1]=>[2,6,1,2,1,2]
[6,4,4,1,1,1]=>[2,5,1,1,2,2]
[1,1,1,4,5,5]=>[1,1,1,4,5,5]
[1,1,1,5,4,5]=>[3,3,3,6,1,1]
[1,1,1,5,5,4]=>[2,2,2,5,1,1]
[1,1,4,1,5,5]=>[1,1,1,5,4,4]
[1,1,4,5,1,5]=>[1,1,1,6,4,4]
[1,1,4,5,5,1]=>[2,2,2,1,5,5]
[1,1,5,1,4,5]=>[4,4,4,1,2,2]
[1,1,5,1,5,4]=>[2,2,2,6,1,1]
[1,1,5,4,1,5]=>[4,4,4,2,1,1]
[1,1,5,4,5,1]=>[4,4,4,3,1,1]
[1,1,5,5,1,4]=>[3,3,3,1,2,2]
[1,1,5,5,4,1]=>[3,3,3,2,1,1]
[1,4,1,1,5,5]=>[1,1,1,5,3,3]
[1,4,1,5,1,5]=>[1,1,1,6,3,3]
[1,4,1,5,5,1]=>[2,2,2,1,4,4]
[1,4,5,1,1,5]=>[1,1,3,1,6,3]
[1,4,5,1,5,1]=>[2,2,4,2,1,4]
[1,4,5,5,1,1]=>[2,2,4,4,1,2]
[1,5,1,1,4,5]=>[4,4,2,4,1,2]
[1,5,1,1,5,4]=>[2,2,1,2,6,1]
[1,5,1,4,1,5]=>[4,4,1,4,2,1]
[1,5,1,4,5,1]=>[4,4,1,4,3,1]
[1,5,1,5,1,4]=>[3,3,2,3,1,2]
[1,5,1,5,4,1]=>[3,3,1,3,2,1]
[1,5,4,1,1,5]=>[1,1,4,1,6,4]
[1,5,4,1,5,1]=>[2,2,5,2,1,5]
[1,5,4,5,1,1]=>[2,2,5,5,1,2]
[1,5,5,1,1,4]=>[3,3,2,2,3,1]
[1,5,5,1,4,1]=>[3,3,1,1,3,2]
[1,5,5,4,1,1]=>[4,4,1,1,3,4]
[4,1,1,1,5,5]=>[1,1,1,5,2,2]
[4,1,1,5,1,5]=>[1,1,1,6,2,2]
[4,1,1,5,5,1]=>[2,2,2,1,3,3]
[4,1,5,1,1,5]=>[1,1,2,1,6,2]
[4,1,5,1,5,1]=>[2,2,3,2,1,3]
[4,1,5,5,1,1]=>[2,2,3,3,1,2]
[4,5,1,1,1,5]=>[1,2,1,1,6,2]
[4,5,1,1,5,1]=>[2,3,2,2,1,3]
[4,5,1,5,1,1]=>[2,3,2,3,1,2]
[4,5,5,1,1,1]=>[2,3,3,1,2,2]
[5,1,1,1,4,5]=>[4,2,4,4,1,2]
[5,1,1,1,5,4]=>[2,1,2,2,6,1]
[5,1,1,4,1,5]=>[4,1,4,4,2,1]
[5,1,1,4,5,1]=>[4,1,4,4,3,1]
[5,1,1,5,1,4]=>[3,2,3,3,1,2]
[5,1,1,5,4,1]=>[3,1,3,3,2,1]
[5,1,4,1,1,5]=>[1,4,1,1,6,4]
[5,1,4,1,5,1]=>[2,5,2,2,1,5]
[5,1,4,5,1,1]=>[2,5,2,5,1,2]
[5,1,5,1,1,4]=>[3,2,3,2,3,1]
[5,1,5,1,4,1]=>[3,1,3,1,3,2]
[5,1,5,4,1,1]=>[4,1,4,1,3,4]
[5,4,1,1,1,5]=>[1,3,1,1,6,3]
[5,4,1,1,5,1]=>[2,4,2,2,1,4]
[5,4,1,5,1,1]=>[2,4,2,4,1,2]
[5,4,5,1,1,1]=>[2,4,4,1,2,2]
[5,5,1,1,1,4]=>[3,2,2,3,3,1]
[5,5,1,1,4,1]=>[3,1,1,3,3,2]
[5,5,1,4,1,1]=>[4,1,1,4,3,4]
[5,5,4,1,1,1]=>[2,5,5,1,2,2]
[1,1,1,4,5,6]=>[1,1,1,4,5,6]
[1,1,1,4,6,5]=>[2,2,2,5,6,1]
[1,1,1,5,4,6]=>[1,1,1,4,6,5]
[1,1,1,5,6,4]=>[2,2,2,5,1,6]
[1,1,1,6,4,5]=>[3,3,3,6,1,2]
[1,1,1,6,5,4]=>[3,3,3,6,2,1]
[1,1,4,1,5,6]=>[1,1,1,5,4,6]
[1,1,4,1,6,5]=>[2,2,2,6,5,1]
[1,1,4,5,1,6]=>[1,1,1,6,4,5]
[1,1,4,5,6,1]=>[2,2,2,1,6,5]
[1,1,4,6,1,5]=>[3,3,3,1,2,6]
[1,1,4,6,5,1]=>[3,3,3,2,1,6]
[1,1,5,1,4,6]=>[1,1,1,5,6,4]
[1,1,5,1,6,4]=>[2,2,2,6,1,5]
[1,1,5,4,1,6]=>[1,1,1,6,5,4]
[1,1,5,4,6,1]=>[2,2,2,1,5,6]
[1,1,5,6,1,4]=>[3,3,3,1,6,2]
[1,1,5,6,4,1]=>[3,3,3,2,6,1]
[1,1,6,1,4,5]=>[4,4,4,1,3,2]
[1,1,6,1,5,4]=>[4,4,4,1,2,3]
[1,1,6,4,1,5]=>[4,4,4,2,3,1]
[1,1,6,4,5,1]=>[4,4,4,3,2,1]
[1,1,6,5,1,4]=>[4,4,4,2,1,3]
[1,1,6,5,4,1]=>[4,4,4,3,1,2]
[1,4,1,1,5,6]=>[1,1,1,5,3,6]
[1,4,1,1,6,5]=>[2,2,2,6,4,1]
[1,4,1,5,1,6]=>[1,1,1,6,3,5]
[1,4,1,5,6,1]=>[2,2,2,1,6,4]
[1,4,1,6,1,5]=>[3,3,3,1,2,5]
[1,4,1,6,5,1]=>[3,3,3,2,1,5]
[1,4,5,1,1,6]=>[1,1,1,6,3,4]
[1,4,5,1,6,1]=>[2,2,2,1,5,4]
[1,4,5,6,1,1]=>[2,2,5,4,1,2]
[1,4,6,1,1,5]=>[3,3,2,3,1,5]
[1,4,6,1,5,1]=>[3,3,1,3,2,5]
[1,4,6,5,1,1]=>[2,2,6,4,1,2]
[1,5,1,1,4,6]=>[1,1,1,5,6,3]
[1,5,1,1,6,4]=>[2,2,2,6,1,4]
[1,5,1,4,1,6]=>[1,1,1,6,5,3]
[1,5,1,4,6,1]=>[2,2,2,1,4,6]
[1,5,1,6,1,4]=>[3,3,3,1,5,2]
[1,5,1,6,4,1]=>[3,3,3,2,5,1]
[1,5,4,1,1,6]=>[1,1,1,6,4,3]
[1,5,4,1,6,1]=>[2,2,2,1,4,5]
[1,5,4,6,1,1]=>[2,2,4,5,1,2]
[1,5,6,1,1,4]=>[3,3,5,2,3,1]
[1,5,6,1,4,1]=>[3,3,5,1,3,2]
[1,5,6,4,1,1]=>[2,2,4,6,1,2]
[1,6,1,1,4,5]=>[4,4,3,4,1,2]
[1,6,1,1,5,4]=>[4,4,2,4,1,3]
[1,6,1,4,1,5]=>[4,4,3,4,2,1]
[1,6,1,4,5,1]=>[4,4,2,4,3,1]
[1,6,1,5,1,4]=>[4,4,1,4,2,3]
[1,6,1,5,4,1]=>[4,4,1,4,3,2]
[1,6,4,1,1,5]=>[3,3,2,3,1,6]
[1,6,4,1,5,1]=>[3,3,1,3,2,6]
[1,6,4,5,1,1]=>[2,2,6,5,1,2]
[1,6,5,1,1,4]=>[3,3,6,2,3,1]
[1,6,5,1,4,1]=>[3,3,6,1,3,2]
[1,6,5,4,1,1]=>[2,2,5,6,1,2]
[4,1,1,1,5,6]=>[1,1,1,5,2,6]
[4,1,1,1,6,5]=>[2,2,2,6,3,1]
[4,1,1,5,1,6]=>[1,1,1,6,2,5]
[4,1,1,5,6,1]=>[2,2,2,1,6,3]
[4,1,1,6,1,5]=>[3,3,3,1,2,4]
[4,1,1,6,5,1]=>[3,3,3,2,1,4]
[4,1,5,1,1,6]=>[1,1,1,6,2,4]
[4,1,5,1,6,1]=>[2,2,2,1,5,3]
[4,1,5,6,1,1]=>[2,2,5,3,1,2]
[4,1,6,1,1,5]=>[3,3,2,3,1,4]
[4,1,6,1,5,1]=>[3,3,1,3,2,4]
[4,1,6,5,1,1]=>[2,2,6,3,1,2]
[4,5,1,1,1,6]=>[1,1,1,6,2,3]
[4,5,1,1,6,1]=>[2,2,2,1,4,3]
[4,5,1,6,1,1]=>[2,2,4,3,1,2]
[4,5,6,1,1,1]=>[2,4,3,1,2,2]
[4,6,1,1,1,5]=>[3,2,3,3,1,4]
[4,6,1,1,5,1]=>[3,1,3,3,2,4]
[4,6,1,5,1,1]=>[2,6,2,3,1,2]
[4,6,5,1,1,1]=>[2,5,3,1,2,2]
[5,1,1,1,4,6]=>[1,1,1,5,6,2]
[5,1,1,1,6,4]=>[2,2,2,6,1,3]
[5,1,1,4,1,6]=>[1,1,1,6,5,2]
[5,1,1,4,6,1]=>[2,2,2,1,3,6]
[5,1,1,6,1,4]=>[3,3,3,1,4,2]
[5,1,1,6,4,1]=>[3,3,3,2,4,1]
[5,1,4,1,1,6]=>[1,1,1,6,4,2]
[5,1,4,1,6,1]=>[2,2,2,1,3,5]
[5,1,4,6,1,1]=>[2,2,3,5,1,2]
[5,1,6,1,1,4]=>[3,3,4,2,3,1]
[5,1,6,1,4,1]=>[3,3,4,1,3,2]
[5,1,6,4,1,1]=>[2,2,3,6,1,2]
[5,4,1,1,1,6]=>[1,1,1,6,3,2]
[5,4,1,1,6,1]=>[2,2,2,1,3,4]
[5,4,1,6,1,1]=>[2,2,3,4,1,2]
[5,4,6,1,1,1]=>[2,3,4,1,2,2]
[5,6,1,1,1,4]=>[3,4,2,3,3,1]
[5,6,1,1,4,1]=>[3,4,1,3,3,2]
[5,6,1,4,1,1]=>[2,3,6,2,1,2]
[5,6,4,1,1,1]=>[2,3,5,1,2,2]
[6,1,1,1,4,5]=>[4,3,4,4,1,2]
[6,1,1,1,5,4]=>[4,2,4,4,1,3]
[6,1,1,4,1,5]=>[4,3,4,4,2,1]
[6,1,1,4,5,1]=>[4,2,4,4,3,1]
[6,1,1,5,1,4]=>[4,1,4,4,2,3]
[6,1,1,5,4,1]=>[4,1,4,4,3,2]
[6,1,4,1,1,5]=>[3,2,3,3,1,6]
[6,1,4,1,5,1]=>[3,1,3,3,2,6]
[6,1,4,5,1,1]=>[2,6,2,5,1,2]
[6,1,5,1,1,4]=>[3,6,3,2,3,1]
[6,1,5,1,4,1]=>[3,6,3,1,3,2]
[6,1,5,4,1,1]=>[2,5,2,6,1,2]
[6,4,1,1,1,5]=>[3,2,3,3,1,5]
[6,4,1,1,5,1]=>[3,1,3,3,2,5]
[6,4,1,5,1,1]=>[2,6,2,4,1,2]
[6,4,5,1,1,1]=>[2,5,4,1,2,2]
[6,5,1,1,1,4]=>[3,5,2,3,3,1]
[6,5,1,1,4,1]=>[3,5,1,3,3,2]
[6,5,1,4,1,1]=>[2,4,6,2,1,2]
[6,5,4,1,1,1]=>[2,4,5,1,2,2]
[1,1,2,2,2,2]=>[1,1,2,2,2,2]
[1,2,1,2,2,2]=>[1,2,1,2,2,2]
[1,2,2,1,2,2]=>[1,2,2,1,2,2]
[1,2,2,2,1,2]=>[1,2,2,2,1,2]
[1,2,2,2,2,1]=>[1,2,2,2,2,1]
[2,1,1,2,2,2]=>[1,3,1,3,3,3]
[2,1,2,1,2,2]=>[1,3,3,1,3,3]
[2,1,2,2,1,2]=>[1,3,3,3,1,3]
[2,1,2,2,2,1]=>[1,3,3,3,3,1]
[2,2,1,1,2,2]=>[5,1,1,5,1,1]
[2,2,1,2,1,2]=>[5,1,1,1,5,1]
[2,2,1,2,2,1]=>[5,1,1,1,1,5]
[2,2,2,1,1,2]=>[4,1,1,1,4,1]
[2,2,2,1,2,1]=>[4,1,1,1,1,4]
[2,2,2,2,1,1]=>[3,1,1,1,1,3]
[1,1,2,2,2,3]=>[1,2,2,2,1,3]
[1,1,2,2,3,2]=>[1,2,2,3,1,2]
[1,1,2,3,2,2]=>[1,2,3,1,2,2]
[1,1,3,2,2,2]=>[1,3,1,2,2,2]
[1,2,1,2,2,3]=>[1,2,2,2,1,4]
[1,2,1,2,3,2]=>[1,2,2,4,1,2]
[1,2,1,3,2,2]=>[1,2,4,1,2,2]
[1,2,2,1,2,3]=>[1,2,2,2,1,5]
[1,2,2,1,3,2]=>[1,2,2,5,1,2]
[1,2,2,2,1,3]=>[1,2,2,2,1,6]
[1,2,2,2,3,1]=>[2,3,3,3,2,1]
[1,2,2,3,1,2]=>[1,2,2,6,1,2]
[1,2,2,3,2,1]=>[2,3,3,1,3,2]
[1,2,3,1,2,2]=>[1,2,5,1,2,2]
[1,2,3,2,1,2]=>[1,2,6,2,1,2]
[1,2,3,2,2,1]=>[2,3,1,3,3,2]
[1,3,1,2,2,2]=>[1,4,1,2,2,2]
[1,3,2,1,2,2]=>[1,5,2,1,2,2]
[1,3,2,2,1,2]=>[1,6,2,2,1,2]
[1,3,2,2,2,1]=>[2,1,3,3,3,2]
[2,1,1,2,2,3]=>[1,3,3,3,1,4]
[2,1,1,2,3,2]=>[1,3,3,4,1,3]
[2,1,1,3,2,2]=>[1,3,4,1,3,3]
[2,1,2,1,2,3]=>[1,3,3,3,1,5]
[2,1,2,1,3,2]=>[1,3,3,5,1,3]
[2,1,2,2,1,3]=>[1,3,3,3,1,6]
[2,1,2,2,3,1]=>[2,4,4,4,2,1]
[2,1,2,3,1,2]=>[1,3,3,6,1,3]
[2,1,2,3,2,1]=>[2,4,4,1,4,2]
[2,1,3,1,2,2]=>[1,3,5,1,3,3]
[2,1,3,2,1,2]=>[1,3,6,3,1,3]
[2,1,3,2,2,1]=>[2,4,1,4,4,2]
[2,2,1,1,2,3]=>[5,1,1,1,5,2]
[2,2,1,1,3,2]=>[5,1,1,2,5,1]
[2,2,1,2,1,3]=>[5,1,1,1,5,3]
[2,2,1,2,3,1]=>[5,1,1,1,5,4]
[2,2,1,3,1,2]=>[5,1,1,3,5,1]
[2,2,1,3,2,1]=>[5,1,1,4,1,5]
[2,2,2,1,1,3]=>[4,1,1,1,4,2]
[2,2,2,1,3,1]=>[4,1,1,1,4,3]
[2,2,2,3,1,1]=>[3,1,1,1,2,3]
[2,2,3,1,1,2]=>[4,1,1,2,4,1]
[2,2,3,1,2,1]=>[4,1,1,3,1,4]
[2,2,3,2,1,1]=>[3,1,1,2,1,3]
[2,3,1,1,2,2]=>[5,1,2,5,1,1]
[2,3,1,2,1,2]=>[5,1,3,1,5,1]
[2,3,1,2,2,1]=>[5,1,4,1,1,5]
[2,3,2,1,1,2]=>[4,1,2,1,4,1]
[2,3,2,1,2,1]=>[4,1,3,1,1,4]
[2,3,2,2,1,1]=>[3,1,2,1,1,3]
[3,1,1,2,2,2]=>[1,4,1,3,3,3]
[3,1,2,1,2,2]=>[1,5,3,1,3,3]
[3,1,2,2,1,2]=>[1,6,3,3,1,3]
[3,1,2,2,2,1]=>[2,1,4,4,4,2]
[3,2,1,1,2,2]=>[5,2,1,5,1,1]
[3,2,1,2,1,2]=>[5,3,1,1,5,1]
[3,2,1,2,2,1]=>[5,4,1,1,1,5]
[3,2,2,1,1,2]=>[4,2,1,1,4,1]
[3,2,2,1,2,1]=>[4,3,1,1,1,4]
[3,2,2,2,1,1]=>[3,2,1,1,1,3]
[1,1,2,2,2,4]=>[1,1,2,2,2,4]
[1,1,2,2,4,2]=>[1,1,2,2,4,2]
[1,1,2,4,2,2]=>[1,1,2,4,2,2]
[1,1,4,2,2,2]=>[1,1,2,5,2,2]
[1,2,1,2,2,4]=>[1,1,2,2,2,3]
[1,2,1,2,4,2]=>[1,1,2,2,3,2]
[1,2,1,4,2,2]=>[1,1,2,3,2,2]
[1,2,2,1,2,4]=>[1,2,1,2,2,3]
[1,2,2,1,4,2]=>[1,2,1,2,3,2]
[1,2,2,2,1,4]=>[1,2,2,1,2,3]
[1,2,2,2,4,1]=>[1,2,2,3,2,1]
[1,2,2,4,1,2]=>[1,2,3,2,1,2]
[1,2,2,4,2,1]=>[1,2,3,2,2,1]
[1,2,4,1,2,2]=>[1,3,2,1,2,2]
[1,2,4,2,1,2]=>[1,3,2,2,1,2]
[1,2,4,2,2,1]=>[1,3,2,2,2,1]
[1,4,1,2,2,2]=>[1,5,1,2,2,2]
[1,4,2,1,2,2]=>[1,4,2,1,2,2]
[1,4,2,2,1,2]=>[1,4,2,2,1,2]
[1,4,2,2,2,1]=>[1,4,2,2,2,1]
[2,1,1,2,2,4]=>[1,1,3,3,3,2]
[2,1,1,2,4,2]=>[1,1,3,3,2,3]
[2,1,1,4,2,2]=>[1,1,3,2,3,3]
[2,1,2,1,2,4]=>[1,3,1,3,3,2]
[2,1,2,1,4,2]=>[1,3,1,3,2,3]
[2,1,2,2,1,4]=>[1,3,3,1,3,2]
[2,1,2,2,4,1]=>[1,3,3,2,3,1]
[2,1,2,4,1,2]=>[1,3,2,3,1,3]
[2,1,2,4,2,1]=>[1,3,2,3,3,1]
[2,1,4,1,2,2]=>[1,2,3,1,3,3]
[2,1,4,2,1,2]=>[1,2,3,3,1,3]
[2,1,4,2,2,1]=>[1,2,3,3,3,1]
[2,2,1,1,2,4]=>[1,4,1,4,4,2]
[2,2,1,1,4,2]=>[1,4,1,4,2,4]
[2,2,1,2,1,4]=>[1,4,4,1,4,2]
[2,2,1,2,4,1]=>[1,4,4,2,4,1]
[2,2,1,4,1,2]=>[1,4,2,4,1,4]
[2,2,1,4,2,1]=>[1,4,2,4,4,1]
[2,2,2,1,1,4]=>[4,1,1,4,1,5]
[2,2,2,1,4,1]=>[4,1,1,5,1,4]
[2,2,2,4,1,1]=>[3,1,1,4,1,3]
[2,2,4,1,1,2]=>[4,1,5,1,4,1]
[2,2,4,1,2,1]=>[4,1,5,1,1,4]
[2,2,4,2,1,1]=>[3,1,4,1,1,3]
[2,4,1,1,2,2]=>[1,2,4,1,4,4]
[2,4,1,2,1,2]=>[1,2,4,4,1,4]
[2,4,1,2,2,1]=>[1,2,4,4,4,1]
[2,4,2,1,1,2]=>[4,5,1,1,4,1]
[2,4,2,1,2,1]=>[4,5,1,1,1,4]
[2,4,2,2,1,1]=>[3,4,1,1,1,3]
[4,1,1,2,2,2]=>[1,5,1,3,3,3]
[4,1,2,1,2,2]=>[1,4,3,1,3,3]
[4,1,2,2,1,2]=>[1,4,3,3,1,3]
[4,1,2,2,2,1]=>[1,4,3,3,3,1]
[4,2,1,1,2,2]=>[1,3,4,1,4,4]
[4,2,1,2,1,2]=>[1,3,4,4,1,4]
[4,2,1,2,2,1]=>[1,3,4,4,4,1]
[4,2,2,1,1,2]=>[4,6,1,1,4,1]
[4,2,2,1,2,1]=>[4,6,1,1,1,4]
[4,2,2,2,1,1]=>[3,5,1,1,1,3]
[1,1,2,2,2,5]=>[1,1,2,2,2,5]
[1,1,2,2,5,2]=>[1,1,2,2,5,2]
[1,1,2,5,2,2]=>[1,1,2,2,6,2]
[1,1,5,2,2,2]=>[1,1,2,6,2,2]
[1,2,1,2,2,5]=>[1,2,1,2,2,5]
[1,2,1,2,5,2]=>[1,2,1,2,5,2]
[1,2,1,5,2,2]=>[1,2,1,2,6,2]
[1,2,2,1,2,5]=>[1,2,1,2,2,4]
[1,2,2,1,5,2]=>[1,2,1,2,4,2]
[1,2,2,2,1,5]=>[1,2,2,1,2,4]
[1,2,2,2,5,1]=>[1,2,2,4,2,1]
[1,2,2,5,1,2]=>[1,2,4,2,1,2]
[1,2,2,5,2,1]=>[1,2,4,2,2,1]
[1,2,5,1,2,2]=>[1,2,6,1,2,2]
[1,2,5,2,1,2]=>[1,2,5,2,1,2]
[1,2,5,2,2,1]=>[1,2,5,2,2,1]
[1,5,1,2,2,2]=>[1,6,1,2,2,2]
[1,5,2,1,2,2]=>[1,6,2,1,2,2]
[1,5,2,2,1,2]=>[1,5,2,2,1,2]
[1,5,2,2,2,1]=>[1,5,2,2,2,1]
[2,1,1,2,2,5]=>[1,3,1,3,3,5]
[2,1,1,2,5,2]=>[1,3,1,3,5,3]
[2,1,1,5,2,2]=>[1,3,1,3,6,3]
[2,1,2,1,2,5]=>[1,3,1,3,3,4]
[2,1,2,1,5,2]=>[1,3,1,3,4,3]
[2,1,2,2,1,5]=>[1,3,3,1,3,4]
[2,1,2,2,5,1]=>[1,3,3,4,3,1]
[2,1,2,5,1,2]=>[1,3,4,3,1,3]
[2,1,2,5,2,1]=>[1,3,4,3,3,1]
[2,1,5,1,2,2]=>[1,3,6,1,3,3]
[2,1,5,2,1,2]=>[1,3,5,3,1,3]
[2,1,5,2,2,1]=>[1,3,5,3,3,1]
[2,2,1,1,2,5]=>[1,4,1,4,4,3]
[2,2,1,1,5,2]=>[1,4,1,4,3,4]
[2,2,1,2,1,5]=>[1,4,4,1,4,3]
[2,2,1,2,5,1]=>[1,4,4,3,4,1]
[2,2,1,5,1,2]=>[1,4,3,4,1,4]
[2,2,1,5,2,1]=>[1,4,3,4,4,1]
[2,2,2,1,1,5]=>[4,1,1,4,1,6]
[2,2,2,1,5,1]=>[4,1,1,6,1,4]
[2,2,2,5,1,1]=>[3,1,1,5,1,3]
[2,2,5,1,1,2]=>[4,1,6,1,4,1]
[2,2,5,1,2,1]=>[4,1,6,1,1,4]
[2,2,5,2,1,1]=>[3,1,5,1,1,3]
[2,5,1,1,2,2]=>[5,1,3,5,1,1]
[2,5,1,2,1,2]=>[5,1,2,1,5,1]
[2,5,1,2,2,1]=>[5,1,2,1,1,5]
[2,5,2,1,1,2]=>[5,2,1,2,5,2]
[2,5,2,1,2,1]=>[5,2,1,2,2,5]
[2,5,2,2,1,1]=>[3,1,6,1,1,3]
[5,1,1,2,2,2]=>[1,6,1,3,3,3]
[5,1,2,1,2,2]=>[1,6,3,1,3,3]
[5,1,2,2,1,2]=>[1,5,3,3,1,3]
[5,1,2,2,2,1]=>[1,5,3,3,3,1]
[5,2,1,1,2,2]=>[5,3,1,5,1,1]
[5,2,1,2,1,2]=>[5,2,1,1,5,1]
[5,2,1,2,2,1]=>[5,2,1,1,1,5]
[5,2,2,1,1,2]=>[5,1,2,2,5,2]
[5,2,2,1,2,1]=>[5,1,2,2,2,5]
[5,2,2,2,1,1]=>[3,6,1,1,1,3]
[1,1,2,2,2,6]=>[1,1,2,2,2,6]
[1,1,2,2,6,2]=>[2,2,3,3,3,1]
[1,1,2,6,2,2]=>[2,2,3,3,1,3]
[1,1,6,2,2,2]=>[2,2,3,1,3,3]
[1,2,1,2,2,6]=>[1,2,1,2,2,6]
[1,2,1,2,6,2]=>[2,3,2,3,3,1]
[1,2,1,6,2,2]=>[2,3,2,3,1,3]
[1,2,2,1,2,6]=>[1,2,2,1,2,6]
[1,2,2,1,6,2]=>[2,3,3,2,3,1]
[1,2,2,2,1,6]=>[1,2,2,1,2,5]
[1,2,2,2,6,1]=>[1,2,2,5,2,1]
[1,2,2,6,1,2]=>[2,3,3,1,2,3]
[1,2,2,6,2,1]=>[1,2,2,6,2,1]
[1,2,6,1,2,2]=>[2,3,1,2,3,3]
[1,2,6,2,1,2]=>[2,3,1,3,2,3]
[1,2,6,2,2,1]=>[1,2,6,2,2,1]
[1,6,1,2,2,2]=>[2,1,2,3,3,3]
[1,6,2,1,2,2]=>[2,1,3,2,3,3]
[1,6,2,2,1,2]=>[2,1,3,3,2,3]
[1,6,2,2,2,1]=>[1,6,2,2,2,1]
[2,1,1,2,2,6]=>[1,3,1,3,3,6]
[2,1,1,2,6,2]=>[2,4,2,4,4,1]
[2,1,1,6,2,2]=>[2,4,2,4,1,4]
[2,1,2,1,2,6]=>[1,3,3,1,3,6]
[2,1,2,1,6,2]=>[2,4,4,2,4,1]
[2,1,2,2,1,6]=>[1,3,3,1,3,5]
[2,1,2,2,6,1]=>[1,3,3,5,3,1]
[2,1,2,6,1,2]=>[2,4,4,1,2,4]
[2,1,2,6,2,1]=>[1,3,3,6,3,1]
[2,1,6,1,2,2]=>[2,4,1,2,4,4]
[2,1,6,2,1,2]=>[2,4,1,4,2,4]
[2,1,6,2,2,1]=>[1,3,6,3,3,1]
[2,2,1,1,2,6]=>[5,1,1,5,1,3]
[2,2,1,1,6,2]=>[5,1,1,5,1,4]
[2,2,1,2,1,6]=>[5,1,1,5,1,2]
[2,2,1,2,6,1]=>[5,1,1,2,1,5]
[2,2,1,6,1,2]=>[5,1,1,4,5,1]
[2,2,1,6,2,1]=>[5,1,1,3,1,5]
[2,2,2,1,1,6]=>[5,2,2,5,2,1]
[2,2,2,1,6,1]=>[5,2,2,1,2,5]
[2,2,2,6,1,1]=>[3,1,1,6,1,3]
[2,2,6,1,1,2]=>[4,1,1,3,4,1]
[2,2,6,1,2,1]=>[4,1,1,2,1,4]
[2,2,6,2,1,1]=>[4,2,2,1,2,4]
[2,6,1,1,2,2]=>[5,1,4,5,1,1]
[2,6,1,2,1,2]=>[5,1,4,1,5,1]
[2,6,1,2,2,1]=>[5,1,3,1,1,5]
[2,6,2,1,1,2]=>[4,1,3,1,4,1]
[2,6,2,1,2,1]=>[4,1,2,1,1,4]
[2,6,2,2,1,1]=>[4,2,1,2,2,4]
[6,1,1,2,2,2]=>[2,1,2,4,4,4]
[6,1,2,1,2,2]=>[2,1,4,2,4,4]
[6,1,2,2,1,2]=>[2,1,4,4,2,4]
[6,1,2,2,2,1]=>[1,6,3,3,3,1]
[6,2,1,1,2,2]=>[5,4,1,5,1,1]
[6,2,1,2,1,2]=>[5,4,1,1,5,1]
[6,2,1,2,2,1]=>[5,3,1,1,1,5]
[6,2,2,1,1,2]=>[4,3,1,1,4,1]
[6,2,2,1,2,1]=>[4,2,1,1,1,4]
[6,2,2,2,1,1]=>[4,1,2,2,2,4]
[1,1,2,2,3,3]=>[1,2,2,1,3,3]
[1,1,2,3,2,3]=>[1,2,3,2,1,3]
[1,1,2,3,3,2]=>[1,2,3,3,1,2]
[1,1,3,2,2,3]=>[1,3,2,2,1,3]
[1,1,3,2,3,2]=>[1,3,2,3,1,2]
[1,1,3,3,2,2]=>[1,3,3,1,2,2]
[1,2,1,2,3,3]=>[1,2,2,1,4,4]
[1,2,1,3,2,3]=>[1,2,4,2,1,4]
[1,2,1,3,3,2]=>[1,2,4,4,1,2]
[1,2,2,1,3,3]=>[1,2,2,1,5,5]
[1,2,2,3,1,3]=>[3,4,4,3,1,1]
[1,2,2,3,3,1]=>[2,3,3,2,1,1]
[1,2,3,1,2,3]=>[1,2,5,2,1,5]
[1,2,3,1,3,2]=>[1,2,5,5,1,2]
[1,2,3,2,1,3]=>[3,4,1,4,3,1]
[1,2,3,2,3,1]=>[2,3,1,3,2,1]
[1,2,3,3,1,2]=>[3,4,1,1,3,4]
[1,2,3,3,2,1]=>[2,3,1,1,3,2]
[1,3,1,2,2,3]=>[1,4,2,2,1,4]
[1,3,1,2,3,2]=>[1,4,2,4,1,2]
[1,3,1,3,2,2]=>[1,4,4,1,2,2]
[1,3,2,1,2,3]=>[1,5,2,2,1,5]
[1,3,2,1,3,2]=>[1,5,2,5,1,2]
[1,3,2,2,1,3]=>[3,1,4,4,3,1]
[1,3,2,2,3,1]=>[2,1,3,3,2,1]
[1,3,2,3,1,2]=>[3,1,4,1,3,4]
[1,3,2,3,2,1]=>[2,1,3,1,3,2]
[1,3,3,1,2,2]=>[1,5,5,1,2,2]
[1,3,3,2,1,2]=>[3,1,1,4,3,4]
[1,3,3,2,2,1]=>[2,1,1,3,3,2]
[2,1,1,2,3,3]=>[1,3,3,1,4,4]
[2,1,1,3,2,3]=>[1,3,4,3,1,4]
[2,1,1,3,3,2]=>[1,3,4,4,1,3]
[2,1,2,1,3,3]=>[1,3,3,1,5,5]
[2,1,2,3,1,3]=>[3,5,5,3,1,1]
[2,1,2,3,3,1]=>[2,4,4,2,1,1]
[2,1,3,1,2,3]=>[1,3,5,3,1,5]
[2,1,3,1,3,2]=>[1,3,5,5,1,3]
[2,1,3,2,1,3]=>[3,5,1,5,3,1]
[2,1,3,2,3,1]=>[2,4,1,4,2,1]
[2,1,3,3,1,2]=>[3,5,1,1,3,5]
[2,1,3,3,2,1]=>[2,4,1,1,4,2]
[2,2,1,1,3,3]=>[5,1,1,5,2,2]
[2,2,1,3,1,3]=>[5,1,1,5,3,3]
[2,2,1,3,3,1]=>[2,5,5,2,1,1]
[2,2,3,1,1,3]=>[4,1,1,2,4,2]
[2,2,3,1,3,1]=>[4,1,1,3,4,3]
[2,2,3,3,1,1]=>[3,1,1,2,2,3]
[2,3,1,1,2,3]=>[5,1,2,1,5,2]
[2,3,1,1,3,2]=>[5,1,2,2,5,1]
[2,3,1,2,1,3]=>[5,1,3,1,5,3]
[2,3,1,2,3,1]=>[2,5,1,5,2,1]
[2,3,1,3,1,2]=>[5,1,3,3,5,1]
[2,3,1,3,2,1]=>[2,5,1,1,5,2]
[2,3,2,1,1,3]=>[4,1,2,1,4,2]
[2,3,2,1,3,1]=>[4,1,3,1,4,3]
[2,3,2,3,1,1]=>[3,1,2,1,2,3]
[2,3,3,1,1,2]=>[4,1,2,2,4,1]
[2,3,3,1,2,1]=>[4,1,3,3,1,4]
[2,3,3,2,1,1]=>[3,1,2,2,1,3]
[3,1,1,2,2,3]=>[1,4,3,3,1,4]
[3,1,1,2,3,2]=>[1,4,3,4,1,3]
[3,1,1,3,2,2]=>[1,4,4,1,3,3]
[3,1,2,1,2,3]=>[1,5,3,3,1,5]
[3,1,2,1,3,2]=>[1,5,3,5,1,3]
[3,1,2,2,1,3]=>[3,1,5,5,3,1]
[3,1,2,2,3,1]=>[2,1,4,4,2,1]
[3,1,2,3,1,2]=>[3,1,5,1,3,5]
[3,1,2,3,2,1]=>[2,1,4,1,4,2]
[3,1,3,1,2,2]=>[1,5,5,1,3,3]
[3,1,3,2,1,2]=>[3,1,1,5,3,5]
[3,1,3,2,2,1]=>[2,1,1,4,4,2]
[3,2,1,1,2,3]=>[5,2,1,1,5,2]
[3,2,1,1,3,2]=>[5,2,1,2,5,1]
[3,2,1,2,1,3]=>[5,3,1,1,5,3]
[3,2,1,2,3,1]=>[2,1,5,5,2,1]
[3,2,1,3,1,2]=>[5,3,1,3,5,1]
[3,2,1,3,2,1]=>[2,1,5,1,5,2]
[3,2,2,1,1,3]=>[4,2,1,1,4,2]
[3,2,2,1,3,1]=>[4,3,1,1,4,3]
[3,2,2,3,1,1]=>[3,2,1,1,2,3]
[3,2,3,1,1,2]=>[4,2,1,2,4,1]
[3,2,3,1,2,1]=>[4,3,1,3,1,4]
[3,2,3,2,1,1]=>[3,2,1,2,1,3]
[3,3,1,1,2,2]=>[5,2,2,5,1,1]
[3,3,1,2,1,2]=>[5,3,3,1,5,1]
[3,3,1,2,2,1]=>[2,1,1,5,5,2]
[3,3,2,1,1,2]=>[4,2,2,1,4,1]
[3,3,2,1,2,1]=>[4,3,3,1,1,4]
[3,3,2,2,1,1]=>[3,2,2,1,1,3]
[1,1,2,2,3,4]=>[1,2,3,1,2,4]
[1,1,2,2,4,3]=>[1,2,4,2,1,3]
[1,1,2,3,2,4]=>[1,3,1,2,2,4]
[1,1,2,3,4,2]=>[1,3,1,2,4,2]
[1,1,2,4,2,3]=>[1,4,2,2,1,3]
[1,1,2,4,3,2]=>[1,4,2,3,1,2]
[1,1,3,2,2,4]=>[1,3,1,2,2,5]
[1,1,3,2,4,2]=>[1,3,1,2,5,2]
[1,1,3,4,2,2]=>[1,3,1,2,6,2]
[1,1,4,2,2,3]=>[1,5,2,2,1,3]
[1,1,4,2,3,2]=>[1,5,2,3,1,2]
[1,1,4,3,2,2]=>[1,6,3,1,2,2]
[1,2,1,2,3,4]=>[1,2,4,1,2,3]
[1,2,1,2,4,3]=>[1,2,3,2,1,4]
[1,2,1,3,2,4]=>[1,4,1,2,2,3]
[1,2,1,3,4,2]=>[1,4,1,2,3,2]
[1,2,1,4,2,3]=>[1,3,2,2,1,4]
[1,2,1,4,3,2]=>[1,3,2,4,1,2]
[1,2,2,1,3,4]=>[1,2,5,1,2,3]
[1,2,2,1,4,3]=>[1,2,3,2,1,5]
[1,2,2,3,1,4]=>[1,2,6,1,2,3]
[1,2,2,3,4,1]=>[2,3,1,4,3,2]
[1,2,2,4,1,3]=>[1,2,3,2,1,6]
[1,2,2,4,3,1]=>[2,3,4,3,2,1]
[1,2,3,1,2,4]=>[1,5,1,2,2,3]
[1,2,3,1,4,2]=>[1,5,1,2,3,2]
[1,2,3,2,1,4]=>[1,6,2,1,2,3]
[1,2,3,2,4,1]=>[2,1,3,4,3,2]
[1,2,3,4,1,2]=>[1,6,3,2,1,2]
[1,2,3,4,2,1]=>[2,1,4,3,3,2]
[1,2,4,1,2,3]=>[1,3,2,2,1,5]
[1,2,4,1,3,2]=>[1,3,2,5,1,2]
[1,2,4,2,1,3]=>[1,3,2,2,1,6]
[1,2,4,2,3,1]=>[2,4,3,3,2,1]
[1,2,4,3,1,2]=>[1,3,2,6,1,2]
[1,2,4,3,2,1]=>[2,4,3,1,3,2]
[1,3,1,2,2,4]=>[1,4,1,2,2,5]
[1,3,1,2,4,2]=>[1,4,1,2,5,2]
[1,3,1,4,2,2]=>[1,4,1,2,6,2]
[1,3,2,1,2,4]=>[1,5,1,2,2,4]
[1,3,2,1,4,2]=>[1,5,1,2,4,2]
[1,3,2,2,1,4]=>[1,6,2,1,2,4]
[1,3,2,2,4,1]=>[2,1,3,5,3,2]
[1,3,2,4,1,2]=>[1,6,4,2,1,2]
[1,3,2,4,2,1]=>[2,1,5,3,3,2]
[1,3,4,1,2,2]=>[1,5,6,1,2,2]
[1,3,4,2,1,2]=>[1,6,5,2,1,2]
[1,3,4,2,2,1]=>[2,1,6,3,3,2]
[1,4,1,2,2,3]=>[1,5,2,2,1,4]
[1,4,1,2,3,2]=>[1,5,2,4,1,2]
[1,4,1,3,2,2]=>[1,6,4,1,2,2]
[1,4,2,1,2,3]=>[1,4,2,2,1,5]
[1,4,2,1,3,2]=>[1,4,2,5,1,2]
[1,4,2,2,1,3]=>[1,4,2,2,1,6]
[1,4,2,2,3,1]=>[2,5,3,3,2,1]
[1,4,2,3,1,2]=>[1,4,2,6,1,2]
[1,4,2,3,2,1]=>[2,5,3,1,3,2]
[1,4,3,1,2,2]=>[1,6,5,1,2,2]
[1,4,3,2,1,2]=>[1,5,6,2,1,2]
[1,4,3,2,2,1]=>[2,6,1,3,3,2]
[2,1,1,2,3,4]=>[1,3,4,1,3,2]
[2,1,1,2,4,3]=>[1,3,2,3,1,4]
[2,1,1,3,2,4]=>[1,4,1,3,3,2]
[2,1,1,3,4,2]=>[1,4,1,3,2,3]
[2,1,1,4,2,3]=>[1,2,3,3,1,4]
[2,1,1,4,3,2]=>[1,2,3,4,1,3]
[2,1,2,1,3,4]=>[1,3,5,1,3,2]
[2,1,2,1,4,3]=>[1,3,2,3,1,5]
[2,1,2,3,1,4]=>[1,3,6,1,3,2]
[2,1,2,3,4,1]=>[2,4,1,3,4,2]
[2,1,2,4,1,3]=>[1,3,2,3,1,6]
[2,1,2,4,3,1]=>[2,4,3,4,2,1]
[2,1,3,1,2,4]=>[1,5,1,3,3,2]
[2,1,3,1,4,2]=>[1,5,1,3,2,3]
[2,1,3,2,1,4]=>[1,6,3,1,3,2]
[2,1,3,2,4,1]=>[2,1,4,3,4,2]
[2,1,3,4,1,2]=>[1,6,2,3,1,3]
[2,1,3,4,2,1]=>[2,1,3,4,4,2]
[2,1,4,1,2,3]=>[1,2,3,3,1,5]
[2,1,4,1,3,2]=>[1,2,3,5,1,3]
[2,1,4,2,1,3]=>[1,2,3,3,1,6]
[2,1,4,2,3,1]=>[2,3,4,4,2,1]
[2,1,4,3,1,2]=>[1,2,3,6,1,3]
[2,1,4,3,2,1]=>[2,3,4,1,4,2]
[2,2,1,1,3,4]=>[1,4,5,1,4,2]
[2,2,1,1,4,3]=>[1,4,2,4,1,5]
[2,2,1,3,1,4]=>[1,4,6,1,4,2]
[2,2,1,3,4,1]=>[2,5,1,3,5,2]
[2,2,1,4,1,3]=>[1,4,2,4,1,6]
[2,2,1,4,3,1]=>[2,5,3,5,2,1]
[2,2,3,1,1,4]=>[4,1,2,4,1,5]
[2,2,3,1,4,1]=>[4,1,3,5,1,4]
[2,2,3,4,1,1]=>[3,1,2,4,1,3]
[2,2,4,1,1,3]=>[4,1,5,1,4,2]
[2,2,4,1,3,1]=>[4,1,5,1,4,3]
[2,2,4,3,1,1]=>[3,1,4,1,2,3]
[2,3,1,1,2,4]=>[1,5,1,4,4,2]
[2,3,1,1,4,2]=>[1,5,1,4,2,4]
[2,3,1,2,1,4]=>[1,6,4,1,4,2]
[2,3,1,2,4,1]=>[2,1,5,3,5,2]
[2,3,1,4,1,2]=>[1,6,2,4,1,4]
[2,3,1,4,2,1]=>[2,1,3,5,5,2]
[2,3,2,1,1,4]=>[4,2,1,4,1,5]
[2,3,2,1,4,1]=>[4,3,1,5,1,4]
[2,3,2,4,1,1]=>[3,2,1,4,1,3]
[2,3,4,1,1,2]=>[4,2,5,1,4,1]
[2,3,4,1,2,1]=>[4,3,5,1,1,4]
[2,3,4,2,1,1]=>[3,2,4,1,1,3]
[2,4,1,1,2,3]=>[1,2,4,4,1,5]
[2,4,1,1,3,2]=>[1,2,4,5,1,4]
[2,4,1,2,1,3]=>[1,2,4,4,1,6]
[2,4,1,2,3,1]=>[2,3,5,5,2,1]
[2,4,1,3,1,2]=>[1,2,4,6,1,4]
[2,4,1,3,2,1]=>[2,3,5,1,5,2]
[2,4,2,1,1,3]=>[4,5,1,1,4,2]
[2,4,2,1,3,1]=>[4,5,1,1,4,3]
[2,4,2,3,1,1]=>[3,4,1,1,2,3]
[2,4,3,1,1,2]=>[4,5,1,2,4,1]
[2,4,3,1,2,1]=>[4,5,1,3,1,4]
[2,4,3,2,1,1]=>[3,4,1,2,1,3]
[3,1,1,2,2,4]=>[1,4,1,3,3,5]
[3,1,1,2,4,2]=>[1,4,1,3,5,3]
[3,1,1,4,2,2]=>[1,4,1,3,6,3]
[3,1,2,1,2,4]=>[1,5,1,3,3,4]
[3,1,2,1,4,2]=>[1,5,1,3,4,3]
[3,1,2,2,1,4]=>[1,6,3,1,3,4]
[3,1,2,2,4,1]=>[2,1,4,5,4,2]
[3,1,2,4,1,2]=>[1,6,4,3,1,3]
[3,1,2,4,2,1]=>[2,1,5,4,4,2]
[3,1,4,1,2,2]=>[1,5,6,1,3,3]
[3,1,4,2,1,2]=>[1,6,5,3,1,3]
[3,1,4,2,2,1]=>[2,1,6,4,4,2]
[3,2,1,1,2,4]=>[1,5,1,4,4,3]
[3,2,1,1,4,2]=>[1,5,1,4,3,4]
[3,2,1,2,1,4]=>[1,6,4,1,4,3]
[3,2,1,2,4,1]=>[2,1,5,4,5,2]
[3,2,1,4,1,2]=>[1,6,3,4,1,4]
[3,2,1,4,2,1]=>[2,1,4,5,5,2]
[3,2,2,1,1,4]=>[4,2,1,4,1,6]
[3,2,2,1,4,1]=>[4,3,1,6,1,4]
[3,2,2,4,1,1]=>[3,2,1,5,1,3]
[3,2,4,1,1,2]=>[4,2,6,1,4,1]
[3,2,4,1,2,1]=>[4,3,6,1,1,4]
[3,2,4,2,1,1]=>[3,2,5,1,1,3]
[3,4,1,1,2,2]=>[5,2,3,5,1,1]
[3,4,1,2,1,2]=>[5,3,2,1,5,1]
[3,4,1,2,2,1]=>[5,4,2,1,1,5]
[3,4,2,1,1,2]=>[5,3,1,2,5,2]
[3,4,2,1,2,1]=>[5,4,1,2,2,5]
[3,4,2,2,1,1]=>[3,2,6,1,1,3]
[4,1,1,2,2,3]=>[1,5,3,3,1,4]
[4,1,1,2,3,2]=>[1,5,3,4,1,3]
[4,1,1,3,2,2]=>[1,6,4,1,3,3]
[4,1,2,1,2,3]=>[1,4,3,3,1,5]
[4,1,2,1,3,2]=>[1,4,3,5,1,3]
[4,1,2,2,1,3]=>[1,4,3,3,1,6]
[4,1,2,2,3,1]=>[2,5,4,4,2,1]
[4,1,2,3,1,2]=>[1,4,3,6,1,3]
[4,1,2,3,2,1]=>[2,5,4,1,4,2]
[4,1,3,1,2,2]=>[1,6,5,1,3,3]
[4,1,3,2,1,2]=>[1,5,6,3,1,3]
[4,1,3,2,2,1]=>[2,6,1,4,4,2]
[4,2,1,1,2,3]=>[1,3,4,4,1,5]
[4,2,1,1,3,2]=>[1,3,4,5,1,4]
[4,2,1,2,1,3]=>[1,3,4,4,1,6]
[4,2,1,2,3,1]=>[2,4,5,5,2,1]
[4,2,1,3,1,2]=>[1,3,4,6,1,4]
[4,2,1,3,2,1]=>[2,4,5,1,5,2]
[4,2,2,1,1,3]=>[4,6,1,1,4,2]
[4,2,2,1,3,1]=>[4,6,1,1,4,3]
[4,2,2,3,1,1]=>[3,5,1,1,2,3]
[4,2,3,1,1,2]=>[4,6,1,2,4,1]
[4,2,3,1,2,1]=>[4,6,1,3,1,4]
[4,2,3,2,1,1]=>[3,5,1,2,1,3]
[4,3,1,1,2,2]=>[5,3,2,5,1,1]
[4,3,1,2,1,2]=>[5,2,3,1,5,1]
[4,3,1,2,2,1]=>[5,2,4,1,1,5]
[4,3,2,1,1,2]=>[5,1,3,2,5,2]
[4,3,2,1,2,1]=>[5,1,4,2,2,5]
[4,3,2,2,1,1]=>[3,6,2,1,1,3]
[1,1,2,2,3,5]=>[1,2,3,1,2,5]
[1,1,2,2,5,3]=>[1,2,5,2,1,3]
[1,1,2,3,2,5]=>[1,2,3,1,2,6]
[1,1,2,3,5,2]=>[2,3,4,2,3,1]
[1,1,2,5,2,3]=>[1,2,6,2,1,3]
[1,1,2,5,3,2]=>[2,3,1,4,2,3]
[1,1,3,2,2,5]=>[1,3,1,2,2,6]
[1,1,3,2,5,2]=>[2,4,2,3,3,1]
[1,1,3,5,2,2]=>[2,4,2,3,1,3]
[1,1,5,2,2,3]=>[1,6,2,2,1,3]
[1,1,5,2,3,2]=>[2,1,3,4,2,3]
[1,1,5,3,2,2]=>[2,1,4,2,3,3]
[1,2,1,2,3,5]=>[1,2,4,1,2,5]
[1,2,1,2,5,3]=>[1,2,5,2,1,4]
[1,2,1,3,2,5]=>[1,2,4,1,2,6]
[1,2,1,3,5,2]=>[2,3,5,2,3,1]
[1,2,1,5,2,3]=>[1,2,6,2,1,4]
[1,2,1,5,3,2]=>[2,3,1,5,2,3]
[1,2,2,1,3,5]=>[1,2,5,1,2,4]
[1,2,2,1,5,3]=>[1,2,4,2,1,5]
[1,2,2,3,1,5]=>[1,2,6,1,2,4]
[1,2,2,3,5,1]=>[2,3,1,5,3,2]
[1,2,2,5,1,3]=>[1,2,4,2,1,6]
[1,2,2,5,3,1]=>[2,3,5,3,2,1]
[1,2,3,1,2,5]=>[1,2,5,1,2,6]
[1,2,3,1,5,2]=>[2,3,6,2,3,1]
[1,2,3,2,1,5]=>[1,2,6,1,2,5]
[1,2,3,2,5,1]=>[2,3,1,6,3,2]
[1,2,3,5,1,2]=>[3,4,1,2,3,4]
[1,2,3,5,2,1]=>[3,4,2,1,4,3]
[1,2,5,1,2,3]=>[1,2,6,2,1,5]
[1,2,5,1,3,2]=>[2,3,1,6,2,3]
[1,2,5,2,1,3]=>[1,2,5,2,1,6]
[1,2,5,2,3,1]=>[2,3,6,3,2,1]
[1,2,5,3,1,2]=>[3,4,2,1,3,4]
[1,2,5,3,2,1]=>[3,4,1,2,4,3]
[1,3,1,2,2,5]=>[1,4,1,2,2,6]
[1,3,1,2,5,2]=>[2,5,2,3,3,1]
[1,3,1,5,2,2]=>[2,5,2,3,1,3]
[1,3,2,1,2,5]=>[1,5,2,1,2,6]
[1,3,2,1,5,2]=>[2,6,3,2,3,1]
[1,3,2,2,1,5]=>[1,6,2,1,2,5]
[1,3,2,2,5,1]=>[2,1,3,6,3,2]
[1,3,2,5,1,2]=>[3,1,4,2,3,4]
[1,3,2,5,2,1]=>[3,2,4,1,4,3]
[1,3,5,1,2,2]=>[2,6,1,2,3,3]
[1,3,5,2,1,2]=>[3,1,2,4,3,4]
[1,3,5,2,2,1]=>[3,2,1,4,4,3]
[1,5,1,2,2,3]=>[1,6,2,2,1,4]
[1,5,1,2,3,2]=>[2,1,3,5,2,3]
[1,5,1,3,2,2]=>[2,1,5,2,3,3]
[1,5,2,1,2,3]=>[1,6,2,2,1,5]
[1,5,2,1,3,2]=>[2,1,3,6,2,3]
[1,5,2,2,1,3]=>[1,5,2,2,1,6]
[1,5,2,2,3,1]=>[2,6,3,3,2,1]
[1,5,2,3,1,2]=>[3,2,4,1,3,4]
[1,5,2,3,2,1]=>[3,1,4,2,4,3]
[1,5,3,1,2,2]=>[2,1,6,2,3,3]
[1,5,3,2,1,2]=>[3,2,1,4,3,4]
[1,5,3,2,2,1]=>[3,1,2,4,4,3]
[2,1,1,2,3,5]=>[1,3,4,1,3,5]
[2,1,1,2,5,3]=>[1,3,5,3,1,4]
[2,1,1,3,2,5]=>[1,3,4,1,3,6]
[2,1,1,3,5,2]=>[2,4,5,2,4,1]
[2,1,1,5,2,3]=>[1,3,6,3,1,4]
[2,1,1,5,3,2]=>[2,4,1,5,2,4]
[2,1,2,1,3,5]=>[1,3,5,1,3,4]
[2,1,2,1,5,3]=>[1,3,4,3,1,5]
[2,1,2,3,1,5]=>[1,3,6,1,3,4]
[2,1,2,3,5,1]=>[2,4,1,5,4,2]
[2,1,2,5,1,3]=>[1,3,4,3,1,6]
[2,1,2,5,3,1]=>[2,4,5,4,2,1]
[2,1,3,1,2,5]=>[1,3,5,1,3,6]
[2,1,3,1,5,2]=>[2,4,6,2,4,1]
[2,1,3,2,1,5]=>[1,3,6,1,3,5]
[2,1,3,2,5,1]=>[2,4,1,6,4,2]
[2,1,3,5,1,2]=>[3,5,1,2,3,5]
[2,1,3,5,2,1]=>[3,5,2,1,5,3]
[2,1,5,1,2,3]=>[1,3,6,3,1,5]
[2,1,5,1,3,2]=>[2,4,1,6,2,4]
[2,1,5,2,1,3]=>[1,3,5,3,1,6]
[2,1,5,2,3,1]=>[2,4,6,4,2,1]
[2,1,5,3,1,2]=>[3,5,2,1,3,5]
[2,1,5,3,2,1]=>[3,5,1,2,5,3]
[2,2,1,1,3,5]=>[1,4,5,1,4,3]
[2,2,1,1,5,3]=>[1,4,3,4,1,5]
[2,2,1,3,1,5]=>[1,4,6,1,4,3]
[2,2,1,3,5,1]=>[2,5,1,4,5,2]
[2,2,1,5,1,3]=>[1,4,3,4,1,6]
[2,2,1,5,3,1]=>[2,5,4,5,2,1]
[2,2,3,1,1,5]=>[4,1,2,4,1,6]
[2,2,3,1,5,1]=>[4,1,3,6,1,4]
[2,2,3,5,1,1]=>[3,1,2,5,1,3]
[2,2,5,1,1,3]=>[4,1,6,1,4,2]
[2,2,5,1,3,1]=>[4,1,6,1,4,3]
[2,2,5,3,1,1]=>[3,1,5,1,2,3]
[2,3,1,1,2,5]=>[5,1,2,5,1,3]
[2,3,1,1,5,2]=>[5,1,2,5,1,4]
[2,3,1,2,1,5]=>[5,1,3,5,1,2]
[2,3,1,2,5,1]=>[5,1,4,2,1,5]
[2,3,1,5,1,2]=>[5,1,3,4,5,1]
[2,3,1,5,2,1]=>[5,1,4,3,1,5]
[2,3,2,1,1,5]=>[5,2,3,5,2,1]
[2,3,2,1,5,1]=>[5,2,4,1,2,5]
[2,3,2,5,1,1]=>[3,1,2,6,1,3]
[2,3,5,1,1,2]=>[4,1,2,3,4,1]
[2,3,5,1,2,1]=>[4,1,3,2,1,4]
[2,3,5,2,1,1]=>[4,2,3,1,2,4]
[2,5,1,1,2,3]=>[5,1,3,1,5,2]
[2,5,1,1,3,2]=>[5,1,4,2,5,1]
[2,5,1,2,1,3]=>[5,1,2,1,5,3]
[2,5,1,2,3,1]=>[5,1,2,1,5,4]
[2,5,1,3,1,2]=>[5,1,4,3,5,1]
[2,5,1,3,2,1]=>[5,1,3,4,1,5]
[2,5,2,1,1,3]=>[5,2,1,2,5,3]
[2,5,2,1,3,1]=>[5,2,1,2,5,4]
[2,5,2,3,1,1]=>[3,1,6,1,2,3]
[2,5,3,1,1,2]=>[4,1,3,2,4,1]
[2,5,3,1,2,1]=>[4,1,2,3,1,4]
[2,5,3,2,1,1]=>[4,2,1,3,2,4]
[3,1,1,2,2,5]=>[1,4,1,3,3,6]
[3,1,1,2,5,2]=>[2,5,2,4,4,1]
[3,1,1,5,2,2]=>[2,5,2,4,1,4]
[3,1,2,1,2,5]=>[1,5,3,1,3,6]
[3,1,2,1,5,2]=>[2,6,4,2,4,1]
[3,1,2,2,1,5]=>[1,6,3,1,3,5]
[3,1,2,2,5,1]=>[2,1,4,6,4,2]
[3,1,2,5,1,2]=>[3,1,5,2,3,5]
[3,1,2,5,2,1]=>[3,2,5,1,5,3]
[3,1,5,1,2,2]=>[2,6,1,2,4,4]
[3,1,5,2,1,2]=>[3,1,2,5,3,5]
[3,1,5,2,2,1]=>[3,2,1,5,5,3]
[3,2,1,1,2,5]=>[5,2,1,5,1,3]
[3,2,1,1,5,2]=>[5,2,1,5,1,4]
[3,2,1,2,1,5]=>[5,3,1,5,1,2]
[3,2,1,2,5,1]=>[5,4,1,2,1,5]
[3,2,1,5,1,2]=>[5,3,1,4,5,1]
[3,2,1,5,2,1]=>[5,4,1,3,1,5]
[3,2,2,1,1,5]=>[5,3,2,5,2,1]
[3,2,2,1,5,1]=>[5,4,2,1,2,5]
[3,2,2,5,1,1]=>[3,2,1,6,1,3]
[3,2,5,1,1,2]=>[4,2,1,3,4,1]
[3,2,5,1,2,1]=>[4,3,1,2,1,4]
[3,2,5,2,1,1]=>[4,3,2,1,2,4]
[3,5,1,1,2,2]=>[5,2,4,5,1,1]
[3,5,1,2,1,2]=>[5,3,4,1,5,1]
[3,5,1,2,2,1]=>[5,4,3,1,1,5]
[3,5,2,1,1,2]=>[4,2,3,1,4,1]
[3,5,2,1,2,1]=>[4,3,2,1,1,4]
[3,5,2,2,1,1]=>[4,3,1,2,2,4]
[5,1,1,2,2,3]=>[1,6,3,3,1,4]
[5,1,1,2,3,2]=>[2,1,4,5,2,4]
[5,1,1,3,2,2]=>[2,1,5,2,4,4]
[5,1,2,1,2,3]=>[1,6,3,3,1,5]
[5,1,2,1,3,2]=>[2,1,4,6,2,4]
[5,1,2,2,1,3]=>[1,5,3,3,1,6]
[5,1,2,2,3,1]=>[2,6,4,4,2,1]
[5,1,2,3,1,2]=>[3,2,5,1,3,5]
[5,1,2,3,2,1]=>[3,1,5,2,5,3]
[5,1,3,1,2,2]=>[2,1,6,2,4,4]
[5,1,3,2,1,2]=>[3,2,1,5,3,5]
[5,1,3,2,2,1]=>[3,1,2,5,5,3]
[5,2,1,1,2,3]=>[5,3,1,1,5,2]
[5,2,1,1,3,2]=>[5,4,1,2,5,1]
[5,2,1,2,1,3]=>[5,2,1,1,5,3]
[5,2,1,2,3,1]=>[5,2,1,1,5,4]
[5,2,1,3,1,2]=>[5,4,1,3,5,1]
[5,2,1,3,2,1]=>[5,3,1,4,1,5]
[5,2,2,1,1,3]=>[5,1,2,2,5,3]
[5,2,2,1,3,1]=>[5,1,2,2,5,4]
[5,2,2,3,1,1]=>[3,6,1,1,2,3]
[5,2,3,1,1,2]=>[4,3,1,2,4,1]
[5,2,3,1,2,1]=>[4,2,1,3,1,4]
[5,2,3,2,1,1]=>[4,1,2,3,2,4]
[5,3,1,1,2,2]=>[5,4,2,5,1,1]
[5,3,1,2,1,2]=>[5,4,3,1,5,1]
[5,3,1,2,2,1]=>[5,3,4,1,1,5]
[5,3,2,1,1,2]=>[4,3,2,1,4,1]
[5,3,2,1,2,1]=>[4,2,3,1,1,4]
[5,3,2,2,1,1]=>[4,1,3,2,2,4]
[1,1,2,2,3,6]=>[1,2,2,1,3,6]
[1,1,2,2,6,3]=>[2,3,3,2,4,1]
[1,1,2,3,2,6]=>[1,2,2,1,3,5]
[1,1,2,3,6,2]=>[1,2,5,3,1,2]
[1,1,2,6,2,3]=>[2,3,1,3,2,4]
[1,1,2,6,3,2]=>[1,2,6,3,1,2]
[1,1,3,2,2,6]=>[1,2,2,1,3,4]
[1,1,3,2,6,2]=>[1,2,4,3,1,2]
[1,1,3,6,2,2]=>[1,4,3,1,2,2]
[1,1,6,2,2,3]=>[2,1,3,3,2,4]
[1,1,6,2,3,2]=>[1,6,2,3,1,2]
[1,1,6,3,2,2]=>[1,5,3,1,2,2]
[1,2,1,2,3,6]=>[1,2,2,1,4,6]
[1,2,1,2,6,3]=>[2,3,3,2,5,1]
[1,2,1,3,2,6]=>[1,2,2,1,4,5]
[1,2,1,3,6,2]=>[1,2,5,4,1,2]
[1,2,1,6,2,3]=>[2,3,1,3,2,5]
[1,2,1,6,3,2]=>[1,2,6,4,1,2]
[1,2,2,1,3,6]=>[1,2,2,1,5,6]
[1,2,2,1,6,3]=>[2,3,3,2,6,1]
[1,2,2,3,1,6]=>[1,2,2,1,6,5]
[1,2,2,3,6,1]=>[2,3,3,2,1,6]
[1,2,2,6,1,3]=>[3,4,4,3,1,2]
[1,2,2,6,3,1]=>[3,4,4,3,2,1]
[1,2,3,1,2,6]=>[1,2,2,1,5,4]
[1,2,3,1,6,2]=>[1,2,4,5,1,2]
[1,2,3,2,1,6]=>[1,2,2,1,6,4]
[1,2,3,2,6,1]=>[2,3,3,2,1,5]
[1,2,3,6,1,2]=>[1,2,4,6,1,2]
[1,2,3,6,2,1]=>[2,3,5,1,3,2]
[1,2,6,1,2,3]=>[2,3,1,3,2,6]
[1,2,6,1,3,2]=>[1,2,6,5,1,2]
[1,2,6,2,1,3]=>[3,4,2,4,3,1]
[1,2,6,2,3,1]=>[3,4,1,4,3,2]
[1,2,6,3,1,2]=>[1,2,5,6,1,2]
[1,2,6,3,2,1]=>[2,3,6,1,3,2]
[1,3,1,2,2,6]=>[1,2,2,1,4,3]
[1,3,1,2,6,2]=>[1,2,3,4,1,2]
[1,3,1,6,2,2]=>[1,3,4,1,2,2]
[1,3,2,1,2,6]=>[1,2,2,1,5,3]
[1,3,2,1,6,2]=>[1,2,3,5,1,2]
[1,3,2,2,1,6]=>[1,2,2,1,6,3]
[1,3,2,2,6,1]=>[2,3,3,2,1,4]
[1,3,2,6,1,2]=>[1,2,3,6,1,2]
[1,3,2,6,2,1]=>[2,3,4,1,3,2]
[1,3,6,1,2,2]=>[1,3,5,1,2,2]
[1,3,6,2,1,2]=>[1,3,6,2,1,2]
[1,3,6,2,2,1]=>[2,4,1,3,3,2]
[1,6,1,2,2,3]=>[2,1,3,3,2,5]
[1,6,1,2,3,2]=>[1,6,2,4,1,2]
[1,6,1,3,2,2]=>[1,5,4,1,2,2]
[1,6,2,1,2,3]=>[2,1,3,3,2,6]
[1,6,2,1,3,2]=>[1,6,2,5,1,2]
[1,6,2,2,1,3]=>[3,2,4,4,3,1]
[1,6,2,2,3,1]=>[3,1,4,4,3,2]
[1,6,2,3,1,2]=>[1,5,2,6,1,2]
[1,6,2,3,2,1]=>[2,6,3,1,3,2]
[1,6,3,1,2,2]=>[1,4,5,1,2,2]
[1,6,3,2,1,2]=>[1,4,6,2,1,2]
[1,6,3,2,2,1]=>[2,5,1,3,3,2]
[2,1,1,2,3,6]=>[1,3,3,1,4,6]
[2,1,1,2,6,3]=>[2,4,4,2,5,1]
[2,1,1,3,2,6]=>[1,3,3,1,4,5]
[2,1,1,3,6,2]=>[1,3,5,4,1,3]
[2,1,1,6,2,3]=>[2,4,1,4,2,5]
[2,1,1,6,3,2]=>[1,3,6,4,1,3]
[2,1,2,1,3,6]=>[1,3,3,1,5,6]
[2,1,2,1,6,3]=>[2,4,4,2,6,1]
[2,1,2,3,1,6]=>[1,3,3,1,6,5]
[2,1,2,3,6,1]=>[2,4,4,2,1,6]
[2,1,2,6,1,3]=>[3,5,5,3,1,2]
[2,1,2,6,3,1]=>[3,5,5,3,2,1]
[2,1,3,1,2,6]=>[1,3,3,1,5,4]
[2,1,3,1,6,2]=>[1,3,4,5,1,3]
[2,1,3,2,1,6]=>[1,3,3,1,6,4]
[2,1,3,2,6,1]=>[2,4,4,2,1,5]
[2,1,3,6,1,2]=>[1,3,4,6,1,3]
[2,1,3,6,2,1]=>[2,4,5,1,4,2]
[2,1,6,1,2,3]=>[2,4,1,4,2,6]
[2,1,6,1,3,2]=>[1,3,6,5,1,3]
[2,1,6,2,1,3]=>[3,5,2,5,3,1]
[2,1,6,2,3,1]=>[3,5,1,5,3,2]
[2,1,6,3,1,2]=>[1,3,5,6,1,3]
[2,1,6,3,2,1]=>[2,4,6,1,4,2]
[2,2,1,1,3,6]=>[5,1,1,5,2,3]
[2,2,1,1,6,3]=>[5,1,1,5,2,4]
[2,2,1,3,1,6]=>[5,1,1,5,3,2]
[2,2,1,3,6,1]=>[5,1,1,5,4,2]
[2,2,1,6,1,3]=>[5,1,1,5,3,4]
[2,2,1,6,3,1]=>[5,1,1,5,4,3]
[2,2,3,1,1,6]=>[5,2,2,5,3,1]
[2,2,3,1,6,1]=>[5,2,2,5,4,1]
[2,2,3,6,1,1]=>[3,1,1,6,2,3]
[2,2,6,1,1,3]=>[4,1,1,3,4,2]
[2,2,6,1,3,1]=>[4,1,1,2,4,3]
[2,2,6,3,1,1]=>[4,2,2,1,3,4]
[2,3,1,1,2,6]=>[1,4,4,1,5,3]
[2,3,1,1,6,2]=>[1,4,3,5,1,4]
[2,3,1,2,1,6]=>[1,4,4,1,6,3]
[2,3,1,2,6,1]=>[2,5,5,2,1,4]
[2,3,1,6,1,2]=>[1,4,3,6,1,4]
[2,3,1,6,2,1]=>[2,5,4,1,5,2]
[2,3,2,1,1,6]=>[4,1,1,4,2,6]
[2,3,2,1,6,1]=>[4,1,1,4,3,6]
[2,3,2,6,1,1]=>[3,1,1,5,2,3]
[2,3,6,1,1,2]=>[4,1,6,2,4,1]
[2,3,6,1,2,1]=>[4,1,6,3,1,4]
[2,3,6,2,1,1]=>[3,1,5,2,1,3]
[2,6,1,1,2,3]=>[5,1,4,1,5,2]
[2,6,1,1,3,2]=>[5,1,3,2,5,1]
[2,6,1,2,1,3]=>[5,1,4,1,5,3]
[2,6,1,2,3,1]=>[5,1,3,1,5,4]
[2,6,1,3,1,2]=>[5,1,2,3,5,1]
[2,6,1,3,2,1]=>[5,1,2,4,1,5]
[2,6,2,1,1,3]=>[4,1,3,1,4,2]
[2,6,2,1,3,1]=>[4,1,2,1,4,3]
[2,6,2,3,1,1]=>[4,2,1,2,3,4]
[2,6,3,1,1,2]=>[5,2,1,3,5,2]
[2,6,3,1,2,1]=>[5,2,1,4,2,5]
[2,6,3,2,1,1]=>[3,1,6,2,1,3]
[3,1,1,2,2,6]=>[1,3,3,1,4,2]
[3,1,1,2,6,2]=>[1,3,2,4,1,3]
[3,1,1,6,2,2]=>[1,2,4,1,3,3]
[3,1,2,1,2,6]=>[1,3,3,1,5,2]
[3,1,2,1,6,2]=>[1,3,2,5,1,3]
[3,1,2,2,1,6]=>[1,3,3,1,6,2]
[3,1,2,2,6,1]=>[2,4,4,2,1,3]
[3,1,2,6,1,2]=>[1,3,2,6,1,3]
[3,1,2,6,2,1]=>[2,4,3,1,4,2]
[3,1,6,1,2,2]=>[1,2,5,1,3,3]
[3,1,6,2,1,2]=>[1,2,6,3,1,3]
[3,1,6,2,2,1]=>[2,3,1,4,4,2]
[3,2,1,1,2,6]=>[1,4,4,1,5,2]
[3,2,1,1,6,2]=>[1,4,2,5,1,4]
[3,2,1,2,1,6]=>[1,4,4,1,6,2]
[3,2,1,2,6,1]=>[2,5,5,2,1,3]
[3,2,1,6,1,2]=>[1,4,2,6,1,4]
[3,2,1,6,2,1]=>[2,5,3,1,5,2]
[3,2,2,1,1,6]=>[4,1,1,4,2,5]
[3,2,2,1,6,1]=>[4,1,1,4,3,5]
[3,2,2,6,1,1]=>[3,1,1,4,2,3]
[3,2,6,1,1,2]=>[4,1,5,2,4,1]
[3,2,6,1,2,1]=>[4,1,5,3,1,4]
[3,2,6,2,1,1]=>[3,1,4,2,1,3]
[3,6,1,1,2,2]=>[1,2,5,1,4,4]
[3,6,1,2,1,2]=>[1,2,6,4,1,4]
[3,6,1,2,2,1]=>[2,3,1,5,5,2]
[3,6,2,1,1,2]=>[4,5,2,1,4,1]
[3,6,2,1,2,1]=>[4,5,3,1,1,4]
[3,6,2,2,1,1]=>[3,4,2,1,1,3]
[6,1,1,2,2,3]=>[2,1,4,4,2,5]
[6,1,1,2,3,2]=>[1,6,3,4,1,3]
[6,1,1,3,2,2]=>[1,5,4,1,3,3]
[6,1,2,1,2,3]=>[2,1,4,4,2,6]
[6,1,2,1,3,2]=>[1,6,3,5,1,3]
[6,1,2,2,1,3]=>[3,2,5,5,3,1]
[6,1,2,2,3,1]=>[3,1,5,5,3,2]
[6,1,2,3,1,2]=>[1,5,3,6,1,3]
[6,1,2,3,2,1]=>[2,6,4,1,4,2]
[6,1,3,1,2,2]=>[1,4,5,1,3,3]
[6,1,3,2,1,2]=>[1,4,6,3,1,3]
[6,1,3,2,2,1]=>[2,5,1,4,4,2]
[6,2,1,1,2,3]=>[5,4,1,1,5,2]
[6,2,1,1,3,2]=>[5,3,1,2,5,1]
[6,2,1,2,1,3]=>[5,4,1,1,5,3]
[6,2,1,2,3,1]=>[5,3,1,1,5,4]
[6,2,1,3,1,2]=>[5,2,1,3,5,1]
[6,2,1,3,2,1]=>[5,2,1,4,1,5]
[6,2,2,1,1,3]=>[4,3,1,1,4,2]
[6,2,2,1,3,1]=>[4,2,1,1,4,3]
[6,2,2,3,1,1]=>[4,1,2,2,3,4]
[6,2,3,1,1,2]=>[5,1,2,3,5,2]
[6,2,3,1,2,1]=>[5,1,2,4,2,5]
[6,2,3,2,1,1]=>[3,6,1,2,1,3]
[6,3,1,1,2,2]=>[1,3,5,1,4,4]
[6,3,1,2,1,2]=>[1,3,6,4,1,4]
[6,3,1,2,2,1]=>[2,4,1,5,5,2]
[6,3,2,1,1,2]=>[4,6,2,1,4,1]
[6,3,2,1,2,1]=>[4,6,3,1,1,4]
[6,3,2,2,1,1]=>[3,5,2,1,1,3]
[1,1,2,2,4,4]=>[1,1,2,2,4,4]
[1,1,2,4,2,4]=>[1,1,2,4,2,4]
[1,1,2,4,4,2]=>[1,1,2,4,4,2]
[1,1,4,2,2,4]=>[1,1,2,5,2,5]
[1,1,4,2,4,2]=>[1,1,2,5,5,2]
[1,1,4,4,2,2]=>[3,3,4,1,1,4]
[1,2,1,2,4,4]=>[1,1,2,2,3,3]
[1,2,1,4,2,4]=>[1,1,2,3,2,3]
[1,2,1,4,4,2]=>[1,1,2,3,3,2]
[1,2,2,1,4,4]=>[1,2,1,2,3,3]
[1,2,2,4,1,4]=>[1,2,3,1,2,3]
[1,2,2,4,4,1]=>[1,2,3,3,2,1]
[1,2,4,1,2,4]=>[1,3,1,2,2,3]
[1,2,4,1,4,2]=>[1,3,1,2,3,2]
[1,2,4,2,1,4]=>[1,3,2,1,2,3]
[1,2,4,2,4,1]=>[1,3,2,3,2,1]
[1,2,4,4,1,2]=>[1,3,3,2,1,2]
[1,2,4,4,2,1]=>[1,3,3,2,2,1]
[1,4,1,2,2,4]=>[1,5,1,2,2,5]
[1,4,1,2,4,2]=>[1,5,1,2,5,2]
[1,4,1,4,2,2]=>[3,1,3,4,1,4]
[1,4,2,1,2,4]=>[1,4,1,2,2,4]
[1,4,2,1,4,2]=>[1,4,1,2,4,2]
[1,4,2,2,1,4]=>[1,4,2,1,2,4]
[1,4,2,2,4,1]=>[1,4,2,4,2,1]
[1,4,2,4,1,2]=>[1,4,4,2,1,2]
[1,4,2,4,2,1]=>[1,4,4,2,2,1]
[1,4,4,1,2,2]=>[3,1,1,3,4,4]
[1,4,4,2,1,2]=>[1,5,5,2,1,2]
[1,4,4,2,2,1]=>[1,5,5,2,2,1]
[2,1,1,2,4,4]=>[1,1,3,3,2,2]
[2,1,1,4,2,4]=>[1,1,3,2,3,2]
[2,1,1,4,4,2]=>[1,1,3,2,2,3]
[2,1,2,1,4,4]=>[1,3,1,3,2,2]
[2,1,2,4,1,4]=>[1,3,2,1,3,2]
[2,1,2,4,4,1]=>[1,3,2,2,3,1]
[2,1,4,1,2,4]=>[1,2,1,3,3,2]
[2,1,4,1,4,2]=>[1,2,1,3,2,3]
[2,1,4,2,1,4]=>[1,2,3,1,3,2]
[2,1,4,2,4,1]=>[1,2,3,2,3,1]
[2,1,4,4,1,2]=>[1,2,2,3,1,3]
[2,1,4,4,2,1]=>[1,2,2,3,3,1]
[2,2,1,1,4,4]=>[1,4,1,4,2,2]
[2,2,1,4,1,4]=>[1,4,2,1,4,2]
[2,2,1,4,4,1]=>[1,4,2,2,4,1]
[2,2,4,1,1,4]=>[1,5,2,1,5,2]
[2,2,4,1,4,1]=>[1,5,2,2,5,1]
[2,2,4,4,1,1]=>[3,1,4,4,1,3]
[2,4,1,1,2,4]=>[1,2,1,4,4,2]
[2,4,1,1,4,2]=>[1,2,1,4,2,4]
[2,4,1,2,1,4]=>[1,2,4,1,4,2]
[2,4,1,2,4,1]=>[1,2,4,2,4,1]
[2,4,1,4,1,2]=>[1,2,2,4,1,4]
[2,4,1,4,2,1]=>[1,2,2,4,4,1]
[2,4,2,1,1,4]=>[1,2,5,1,5,2]
[2,4,2,1,4,1]=>[1,2,5,2,5,1]
[2,4,2,4,1,1]=>[3,4,1,4,1,3]
[2,4,4,1,1,2]=>[1,2,2,5,1,5]
[2,4,4,1,2,1]=>[1,2,2,5,5,1]
[2,4,4,2,1,1]=>[3,4,4,1,1,3]
[4,1,1,2,2,4]=>[1,5,1,3,3,5]
[4,1,1,2,4,2]=>[1,5,1,3,5,3]
[4,1,1,4,2,2]=>[3,1,3,5,1,5]
[4,1,2,1,2,4]=>[1,4,1,3,3,4]
[4,1,2,1,4,2]=>[1,4,1,3,4,3]
[4,1,2,2,1,4]=>[1,4,3,1,3,4]
[4,1,2,2,4,1]=>[1,4,3,4,3,1]
[4,1,2,4,1,2]=>[1,4,4,3,1,3]
[4,1,2,4,2,1]=>[1,4,4,3,3,1]
[4,1,4,1,2,2]=>[3,1,1,3,5,5]
[4,1,4,2,1,2]=>[1,5,5,3,1,3]
[4,1,4,2,2,1]=>[1,5,5,3,3,1]
[4,2,1,1,2,4]=>[1,3,1,4,4,3]
[4,2,1,1,4,2]=>[1,3,1,4,3,4]
[4,2,1,2,1,4]=>[1,3,4,1,4,3]
[4,2,1,2,4,1]=>[1,3,4,3,4,1]
[4,2,1,4,1,2]=>[1,3,3,4,1,4]
[4,2,1,4,2,1]=>[1,3,3,4,4,1]
[4,2,2,1,1,4]=>[1,3,5,1,5,3]
[4,2,2,1,4,1]=>[1,3,5,3,5,1]
[4,2,2,4,1,1]=>[3,5,1,5,1,3]
[4,2,4,1,1,2]=>[1,3,3,5,1,5]
[4,2,4,1,2,1]=>[1,3,3,5,5,1]
[4,2,4,2,1,1]=>[3,5,5,1,1,3]
[4,4,1,1,2,2]=>[5,3,3,5,1,1]
[4,4,1,2,1,2]=>[5,2,2,1,5,1]
[4,4,1,2,2,1]=>[5,2,2,1,1,5]
[4,4,2,1,1,2]=>[5,1,1,2,5,2]
[4,4,2,1,2,1]=>[5,1,1,2,2,5]
[4,4,2,2,1,1]=>[5,1,1,3,3,5]
[1,1,2,2,4,5]=>[1,1,2,4,2,5]
[1,1,2,2,5,4]=>[1,1,2,5,2,4]
[1,1,2,4,2,5]=>[1,1,2,4,2,6]
[1,1,2,4,5,2]=>[2,2,3,5,3,1]
[1,1,2,5,2,4]=>[1,1,2,6,2,4]
[1,1,2,5,4,2]=>[2,2,3,1,5,3]
[1,1,4,2,2,5]=>[1,1,2,5,2,6]
[1,1,4,2,5,2]=>[2,2,3,6,3,1]
[1,1,4,5,2,2]=>[3,3,4,1,2,4]
[1,1,5,2,2,4]=>[1,1,2,6,2,5]
[1,1,5,2,4,2]=>[2,2,3,1,6,3]
[1,1,5,4,2,2]=>[3,3,4,2,1,4]
[1,2,1,2,4,5]=>[1,1,2,3,2,5]
[1,2,1,2,5,4]=>[1,1,2,5,2,3]
[1,2,1,4,2,5]=>[1,1,2,3,2,6]
[1,2,1,4,5,2]=>[2,2,3,4,3,1]
[1,2,1,5,2,4]=>[1,1,2,6,2,3]
[1,2,1,5,4,2]=>[2,2,3,1,4,3]
[1,2,2,1,4,5]=>[1,1,2,3,2,4]
[1,2,2,1,5,4]=>[1,1,2,4,2,3]
[1,2,2,4,1,5]=>[1,3,2,1,2,4]
[1,2,2,4,5,1]=>[1,3,2,4,2,1]
[1,2,2,5,1,4]=>[1,4,2,1,2,3]
[1,2,2,5,4,1]=>[1,4,2,3,2,1]
[1,2,4,1,2,5]=>[1,3,2,1,2,6]
[1,2,4,1,5,2]=>[2,4,3,2,3,1]
[1,2,4,2,1,5]=>[1,3,2,1,2,5]
[1,2,4,2,5,1]=>[1,3,2,5,2,1]
[1,2,4,5,1,2]=>[2,4,3,1,2,3]
[1,2,4,5,2,1]=>[1,3,2,6,2,1]
[1,2,5,1,2,4]=>[1,6,1,2,2,3]
[1,2,5,1,4,2]=>[2,1,2,3,4,3]
[1,2,5,2,1,4]=>[1,5,2,1,2,3]
[1,2,5,2,4,1]=>[1,5,2,3,2,1]
[1,2,5,4,1,2]=>[2,1,4,3,2,3]
[1,2,5,4,2,1]=>[1,6,3,2,2,1]
[1,4,1,2,2,5]=>[1,5,1,2,2,6]
[1,4,1,2,5,2]=>[2,6,2,3,3,1]
[1,4,1,5,2,2]=>[3,1,3,4,2,4]
[1,4,2,1,2,5]=>[1,4,2,1,2,6]
[1,4,2,1,5,2]=>[2,5,3,2,3,1]
[1,4,2,2,1,5]=>[1,4,2,1,2,5]
[1,4,2,2,5,1]=>[1,4,2,5,2,1]
[1,4,2,5,1,2]=>[2,5,3,1,2,3]
[1,4,2,5,2,1]=>[1,4,2,6,2,1]
[1,4,5,1,2,2]=>[3,1,2,3,4,4]
[1,4,5,2,1,2]=>[2,6,1,3,2,3]
[1,4,5,2,2,1]=>[1,5,6,2,2,1]
[1,5,1,2,2,4]=>[1,6,1,2,2,5]
[1,5,1,2,4,2]=>[2,1,2,3,6,3]
[1,5,1,4,2,2]=>[3,2,3,4,1,4]
[1,5,2,1,2,4]=>[1,6,1,2,2,4]
[1,5,2,1,4,2]=>[2,1,2,3,5,3]
[1,5,2,2,1,4]=>[1,5,2,1,2,4]
[1,5,2,2,4,1]=>[1,5,2,4,2,1]
[1,5,2,4,1,2]=>[2,1,5,3,2,3]
[1,5,2,4,2,1]=>[1,6,4,2,2,1]
[1,5,4,1,2,2]=>[3,2,1,3,4,4]
[1,5,4,2,1,2]=>[2,1,6,3,2,3]
[1,5,4,2,2,1]=>[1,6,5,2,2,1]
[2,1,1,2,4,5]=>[1,1,3,2,3,5]
[2,1,1,2,5,4]=>[1,1,3,5,3,2]
[2,1,1,4,2,5]=>[1,1,3,2,3,6]
[2,1,1,4,5,2]=>[2,2,4,3,4,1]
[2,1,1,5,2,4]=>[1,1,3,6,3,2]
[2,1,1,5,4,2]=>[2,2,4,1,3,4]
[2,1,2,1,4,5]=>[1,1,3,2,3,4]
[2,1,2,1,5,4]=>[1,1,3,4,3,2]
[2,1,2,4,1,5]=>[1,2,3,1,3,4]
[2,1,2,4,5,1]=>[1,2,3,4,3,1]
[2,1,2,5,1,4]=>[1,4,3,1,3,2]
[2,1,2,5,4,1]=>[1,4,3,2,3,1]
[2,1,4,1,2,5]=>[1,2,3,1,3,6]
[2,1,4,1,5,2]=>[2,3,4,2,4,1]
[2,1,4,2,1,5]=>[1,2,3,1,3,5]
[2,1,4,2,5,1]=>[1,2,3,5,3,1]
[2,1,4,5,1,2]=>[2,3,4,1,2,4]
[2,1,4,5,2,1]=>[1,2,3,6,3,1]
[2,1,5,1,2,4]=>[1,6,1,3,3,2]
[2,1,5,1,4,2]=>[2,1,2,4,3,4]
[2,1,5,2,1,4]=>[1,5,3,1,3,2]
[2,1,5,2,4,1]=>[1,5,3,2,3,1]
[2,1,5,4,1,2]=>[2,1,3,4,2,4]
[2,1,5,4,2,1]=>[1,6,2,3,3,1]
[2,2,1,1,4,5]=>[1,1,4,2,4,3]
[2,2,1,1,5,4]=>[1,1,4,3,4,2]
[2,2,1,4,1,5]=>[1,2,4,1,4,3]
[2,2,1,4,5,1]=>[1,2,4,3,4,1]
[2,2,1,5,1,4]=>[1,3,4,1,4,2]
[2,2,1,5,4,1]=>[1,3,4,2,4,1]
[2,2,4,1,1,5]=>[1,2,5,1,5,3]
[2,2,4,1,5,1]=>[1,2,5,3,5,1]
[2,2,4,5,1,1]=>[3,4,1,5,1,3]
[2,2,5,1,1,4]=>[1,3,5,1,5,2]
[2,2,5,1,4,1]=>[1,3,5,2,5,1]
[2,2,5,4,1,1]=>[3,5,1,4,1,3]
[2,4,1,1,2,5]=>[1,2,4,1,4,6]
[2,4,1,1,5,2]=>[2,3,5,2,5,1]
[2,4,1,2,1,5]=>[1,2,4,1,4,5]
[2,4,1,2,5,1]=>[1,2,4,5,4,1]
[2,4,1,5,1,2]=>[2,3,5,1,2,5]
[2,4,1,5,2,1]=>[1,2,4,6,4,1]
[2,4,2,1,1,5]=>[1,2,5,1,5,4]
[2,4,2,1,5,1]=>[1,2,5,4,5,1]
[2,4,2,5,1,1]=>[3,4,1,6,1,3]
[2,4,5,1,1,2]=>[4,5,1,3,4,1]
[2,4,5,1,2,1]=>[4,5,1,2,1,4]
[2,4,5,2,1,1]=>[4,5,2,1,2,4]
[2,5,1,1,2,4]=>[1,6,1,4,4,2]
[2,5,1,1,4,2]=>[2,1,2,5,3,5]
[2,5,1,2,1,4]=>[1,5,4,1,4,2]
[2,5,1,2,4,1]=>[1,5,4,2,4,1]
[2,5,1,4,1,2]=>[2,1,3,5,2,5]
[2,5,1,4,2,1]=>[1,6,2,4,4,1]
[2,5,2,1,1,4]=>[1,4,5,1,5,2]
[2,5,2,1,4,1]=>[1,4,5,2,5,1]
[2,5,2,4,1,1]=>[3,6,1,4,1,3]
[2,5,4,1,1,2]=>[4,3,5,1,4,1]
[2,5,4,1,2,1]=>[4,2,5,1,1,4]
[2,5,4,2,1,1]=>[4,1,5,2,2,4]
[4,1,1,2,2,5]=>[1,5,1,3,3,6]
[4,1,1,2,5,2]=>[2,6,2,4,4,1]
[4,1,1,5,2,2]=>[3,1,3,5,2,5]
[4,1,2,1,2,5]=>[1,4,3,1,3,6]
[4,1,2,1,5,2]=>[2,5,4,2,4,1]
[4,1,2,2,1,5]=>[1,4,3,1,3,5]
[4,1,2,2,5,1]=>[1,4,3,5,3,1]
[4,1,2,5,1,2]=>[2,5,4,1,2,4]
[4,1,2,5,2,1]=>[1,4,3,6,3,1]
[4,1,5,1,2,2]=>[3,1,2,3,5,5]
[4,1,5,2,1,2]=>[2,6,1,4,2,4]
[4,1,5,2,2,1]=>[1,5,6,3,3,1]
[4,2,1,1,2,5]=>[1,3,4,1,4,6]
[4,2,1,1,5,2]=>[2,4,5,2,5,1]
[4,2,1,2,1,5]=>[1,3,4,1,4,5]
[4,2,1,2,5,1]=>[1,3,4,5,4,1]
[4,2,1,5,1,2]=>[2,4,5,1,2,5]
[4,2,1,5,2,1]=>[1,3,4,6,4,1]
[4,2,2,1,1,5]=>[1,3,5,1,5,4]
[4,2,2,1,5,1]=>[1,3,5,4,5,1]
[4,2,2,5,1,1]=>[3,5,1,6,1,3]
[4,2,5,1,1,2]=>[4,6,1,3,4,1]
[4,2,5,1,2,1]=>[4,6,1,2,1,4]
[4,2,5,2,1,1]=>[4,6,2,1,2,4]
[4,5,1,1,2,2]=>[5,3,4,5,1,1]
[4,5,1,2,1,2]=>[5,2,4,1,5,1]
[4,5,1,2,2,1]=>[5,2,3,1,1,5]
[4,5,2,1,1,2]=>[5,1,4,2,5,2]
[4,5,2,1,2,1]=>[5,1,3,2,2,5]
[4,5,2,2,1,1]=>[5,1,2,3,3,5]
[5,1,1,2,2,4]=>[1,6,1,3,3,5]
[5,1,1,2,4,2]=>[2,1,2,4,6,4]
[5,1,1,4,2,2]=>[3,2,3,5,1,5]
[5,1,2,1,2,4]=>[1,6,1,3,3,4]
[5,1,2,1,4,2]=>[2,1,2,4,5,4]
[5,1,2,2,1,4]=>[1,5,3,1,3,4]
[5,1,2,2,4,1]=>[1,5,3,4,3,1]
[5,1,2,4,1,2]=>[2,1,5,4,2,4]
[5,1,2,4,2,1]=>[1,6,4,3,3,1]
[5,1,4,1,2,2]=>[3,2,1,3,5,5]
[5,1,4,2,1,2]=>[2,1,6,4,2,4]
[5,1,4,2,2,1]=>[1,6,5,3,3,1]
[5,2,1,1,2,4]=>[1,6,1,4,4,3]
[5,2,1,1,4,2]=>[2,1,2,5,4,5]
[5,2,1,2,1,4]=>[1,5,4,1,4,3]
[5,2,1,2,4,1]=>[1,5,4,3,4,1]
[5,2,1,4,1,2]=>[2,1,4,5,2,5]
[5,2,1,4,2,1]=>[1,6,3,4,4,1]
[5,2,2,1,1,4]=>[1,4,5,1,5,3]
[5,2,2,1,4,1]=>[1,4,5,3,5,1]
[5,2,2,4,1,1]=>[3,6,1,5,1,3]
[5,2,4,1,1,2]=>[4,3,6,1,4,1]
[5,2,4,1,2,1]=>[4,2,6,1,1,4]
[5,2,4,2,1,1]=>[4,1,6,2,2,4]
[5,4,1,1,2,2]=>[5,4,3,5,1,1]
[5,4,1,2,1,2]=>[5,4,2,1,5,1]
[5,4,1,2,2,1]=>[5,3,2,1,1,5]
[5,4,2,1,1,2]=>[5,4,1,2,5,2]
[5,4,2,1,2,1]=>[5,3,1,2,2,5]
[5,4,2,2,1,1]=>[5,2,1,3,3,5]
[1,1,2,2,4,6]=>[1,1,2,2,4,6]
[1,1,2,2,6,4]=>[2,2,3,3,5,1]
[1,1,2,4,2,6]=>[1,1,2,2,4,5]
[1,1,2,4,6,2]=>[1,1,2,5,4,2]
[1,1,2,6,2,4]=>[2,2,3,1,3,5]
[1,1,2,6,4,2]=>[1,1,2,6,4,2]
[1,1,4,2,2,6]=>[1,1,2,2,5,4]
[1,1,4,2,6,2]=>[1,1,2,4,5,2]
[1,1,4,6,2,2]=>[1,1,2,4,6,2]
[1,1,6,2,2,4]=>[2,2,3,1,3,6]
[1,1,6,2,4,2]=>[1,1,2,6,5,2]
[1,1,6,4,2,2]=>[1,1,2,5,6,2]
[1,2,1,2,4,6]=>[1,1,2,2,3,6]
[1,2,1,2,6,4]=>[2,2,3,3,4,1]
[1,2,1,4,2,6]=>[1,1,2,2,3,5]
[1,2,1,4,6,2]=>[1,1,2,5,3,2]
[1,2,1,6,2,4]=>[2,2,3,1,3,4]
[1,2,1,6,4,2]=>[1,1,2,6,3,2]
[1,2,2,1,4,6]=>[1,2,1,2,3,6]
[1,2,2,1,6,4]=>[2,3,2,3,4,1]
[1,2,2,4,1,6]=>[1,2,1,2,3,5]
[1,2,2,4,6,1]=>[1,2,5,3,2,1]
[1,2,2,6,1,4]=>[2,3,1,2,3,4]
[1,2,2,6,4,1]=>[1,2,6,3,2,1]
[1,2,4,1,2,6]=>[1,1,2,2,3,4]
[1,2,4,1,6,2]=>[1,1,2,4,3,2]
[1,2,4,2,1,6]=>[1,2,1,2,3,4]
[1,2,4,2,6,1]=>[1,2,4,3,2,1]
[1,2,4,6,1,2]=>[1,4,3,2,1,2]
[1,2,4,6,2,1]=>[1,4,3,2,2,1]
[1,2,6,1,2,4]=>[2,1,2,3,3,4]
[1,2,6,1,4,2]=>[1,6,1,2,3,2]
[1,2,6,2,1,4]=>[2,1,3,2,3,4]
[1,2,6,2,4,1]=>[1,6,2,3,2,1]
[1,2,6,4,1,2]=>[1,5,3,2,1,2]
[1,2,6,4,2,1]=>[1,5,3,2,2,1]
[1,4,1,2,2,6]=>[1,1,2,2,5,3]
[1,4,1,2,6,2]=>[1,1,2,3,5,2]
[1,4,1,6,2,2]=>[1,1,2,3,6,2]
[1,4,2,1,2,6]=>[1,1,2,2,4,3]
[1,4,2,1,6,2]=>[1,1,2,3,4,2]
[1,4,2,2,1,6]=>[1,2,1,2,4,3]
[1,4,2,2,6,1]=>[1,2,3,4,2,1]
[1,4,2,6,1,2]=>[1,3,4,2,1,2]
[1,4,2,6,2,1]=>[1,3,4,2,2,1]
[1,4,6,1,2,2]=>[1,3,6,1,2,2]
[1,4,6,2,1,2]=>[1,3,5,2,1,2]
[1,4,6,2,2,1]=>[1,3,5,2,2,1]
[1,6,1,2,2,4]=>[2,1,2,3,3,6]
[1,6,1,2,4,2]=>[1,6,1,2,5,2]
[1,6,1,4,2,2]=>[1,5,1,2,6,2]
[1,6,2,1,2,4]=>[2,1,2,3,3,5]
[1,6,2,1,4,2]=>[1,6,1,2,4,2]
[1,6,2,2,1,4]=>[2,1,3,2,3,5]
[1,6,2,2,4,1]=>[1,6,2,4,2,1]
[1,6,2,4,1,2]=>[1,5,4,2,1,2]
[1,6,2,4,2,1]=>[1,5,4,2,2,1]
[1,6,4,1,2,2]=>[1,4,6,1,2,2]
[1,6,4,2,1,2]=>[1,4,5,2,1,2]
[1,6,4,2,2,1]=>[1,4,5,2,2,1]
[2,1,1,2,4,6]=>[1,1,3,3,2,6]
[2,1,1,2,6,4]=>[2,2,4,4,3,1]
[2,1,1,4,2,6]=>[1,1,3,3,2,5]
[2,1,1,4,6,2]=>[1,1,3,5,2,3]
[2,1,1,6,2,4]=>[2,2,4,1,4,3]
[2,1,1,6,4,2]=>[1,1,3,6,2,3]
[2,1,2,1,4,6]=>[1,3,1,3,2,6]
[2,1,2,1,6,4]=>[2,4,2,4,3,1]
[2,1,2,4,1,6]=>[1,3,1,3,2,5]
[2,1,2,4,6,1]=>[1,3,5,2,3,1]
[2,1,2,6,1,4]=>[2,4,1,2,4,3]
[2,1,2,6,4,1]=>[1,3,6,2,3,1]
[2,1,4,1,2,6]=>[1,1,3,3,2,4]
[2,1,4,1,6,2]=>[1,1,3,4,2,3]
[2,1,4,2,1,6]=>[1,3,1,3,2,4]
[2,1,4,2,6,1]=>[1,3,4,2,3,1]
[2,1,4,6,1,2]=>[1,4,2,3,1,3]
[2,1,4,6,2,1]=>[1,4,2,3,3,1]
[2,1,6,1,2,4]=>[2,1,2,4,4,3]
[2,1,6,1,4,2]=>[1,6,1,3,2,3]
[2,1,6,2,1,4]=>[2,1,4,2,4,3]
[2,1,6,2,4,1]=>[1,6,3,2,3,1]
[2,1,6,4,1,2]=>[1,5,2,3,1,3]
[2,1,6,4,2,1]=>[1,5,2,3,3,1]
[2,2,1,1,4,6]=>[1,4,1,4,2,6]
[2,2,1,1,6,4]=>[2,5,2,5,3,1]
[2,2,1,4,1,6]=>[1,4,1,4,2,5]
[2,2,1,4,6,1]=>[1,4,5,2,4,1]
[2,2,1,6,1,4]=>[2,5,1,2,5,3]
[2,2,1,6,4,1]=>[1,4,6,2,4,1]
[2,2,4,1,1,6]=>[1,5,1,5,2,4]
[2,2,4,1,6,1]=>[1,5,4,2,5,1]
[2,2,4,6,1,1]=>[3,1,6,4,1,3]
[2,2,6,1,1,4]=>[4,1,3,4,1,5]
[2,2,6,1,4,1]=>[4,1,2,5,1,4]
[2,2,6,4,1,1]=>[4,2,1,5,2,4]
[2,4,1,1,2,6]=>[1,1,4,4,2,3]
[2,4,1,1,6,2]=>[1,1,4,3,2,4]
[2,4,1,2,1,6]=>[1,4,1,4,2,3]
[2,4,1,2,6,1]=>[1,4,3,2,4,1]
[2,4,1,6,1,2]=>[1,3,2,4,1,4]
[2,4,1,6,2,1]=>[1,3,2,4,4,1]
[2,4,2,1,1,6]=>[1,5,1,5,2,3]
[2,4,2,1,6,1]=>[1,5,3,2,5,1]
[2,4,2,6,1,1]=>[3,1,5,4,1,3]
[2,4,6,1,1,2]=>[1,3,2,5,1,5]
[2,4,6,1,2,1]=>[1,3,2,5,5,1]
[2,4,6,2,1,1]=>[3,5,4,1,1,3]
[2,6,1,1,2,4]=>[2,1,2,5,5,3]
[2,6,1,1,4,2]=>[1,6,1,4,2,4]
[2,6,1,2,1,4]=>[2,1,5,2,5,3]
[2,6,1,2,4,1]=>[1,6,4,2,4,1]
[2,6,1,4,1,2]=>[1,5,2,4,1,4]
[2,6,1,4,2,1]=>[1,5,2,4,4,1]
[2,6,2,1,1,4]=>[4,3,1,4,1,5]
[2,6,2,1,4,1]=>[4,2,1,5,1,4]
[2,6,2,4,1,1]=>[4,1,2,5,2,4]
[2,6,4,1,1,2]=>[1,4,2,5,1,5]
[2,6,4,1,2,1]=>[1,4,2,5,5,1]
[2,6,4,2,1,1]=>[3,6,4,1,1,3]
[4,1,1,2,2,6]=>[1,1,3,3,5,2]
[4,1,1,2,6,2]=>[1,1,3,2,5,3]
[4,1,1,6,2,2]=>[1,1,3,2,6,3]
[4,1,2,1,2,6]=>[1,1,3,3,4,2]
[4,1,2,1,6,2]=>[1,1,3,2,4,3]
[4,1,2,2,1,6]=>[1,3,1,3,4,2]
[4,1,2,2,6,1]=>[1,3,2,4,3,1]
[4,1,2,6,1,2]=>[1,2,4,3,1,3]
[4,1,2,6,2,1]=>[1,2,4,3,3,1]
[4,1,6,1,2,2]=>[1,2,6,1,3,3]
[4,1,6,2,1,2]=>[1,2,5,3,1,3]
[4,1,6,2,2,1]=>[1,2,5,3,3,1]
[4,2,1,1,2,6]=>[1,1,4,4,3,2]
[4,2,1,1,6,2]=>[1,1,4,2,3,4]
[4,2,1,2,1,6]=>[1,4,1,4,3,2]
[4,2,1,2,6,1]=>[1,4,2,3,4,1]
[4,2,1,6,1,2]=>[1,2,3,4,1,4]
[4,2,1,6,2,1]=>[1,2,3,4,4,1]
[4,2,2,1,1,6]=>[1,5,1,5,3,2]
[4,2,2,1,6,1]=>[1,5,2,3,5,1]
[4,2,2,6,1,1]=>[3,1,4,5,1,3]
[4,2,6,1,1,2]=>[1,2,3,5,1,5]
[4,2,6,1,2,1]=>[1,2,3,5,5,1]
[4,2,6,2,1,1]=>[3,4,5,1,1,3]
[4,6,1,1,2,2]=>[1,2,6,1,4,4]
[4,6,1,2,1,2]=>[1,2,5,4,1,4]
[4,6,1,2,2,1]=>[1,2,5,4,4,1]
[4,6,2,1,1,2]=>[1,2,4,5,1,5]
[4,6,2,1,2,1]=>[1,2,4,5,5,1]
[4,6,2,2,1,1]=>[3,4,6,1,1,3]
[6,1,1,2,2,4]=>[2,1,2,4,4,6]
[6,1,1,2,4,2]=>[1,6,1,3,5,3]
[6,1,1,4,2,2]=>[1,5,1,3,6,3]
[6,1,2,1,2,4]=>[2,1,2,4,4,5]
[6,1,2,1,4,2]=>[1,6,1,3,4,3]
[6,1,2,2,1,4]=>[2,1,4,2,4,5]
[6,1,2,2,4,1]=>[1,6,3,4,3,1]
[6,1,2,4,1,2]=>[1,5,4,3,1,3]
[6,1,2,4,2,1]=>[1,5,4,3,3,1]
[6,1,4,1,2,2]=>[1,4,6,1,3,3]
[6,1,4,2,1,2]=>[1,4,5,3,1,3]
[6,1,4,2,2,1]=>[1,4,5,3,3,1]
[6,2,1,1,2,4]=>[2,1,2,5,5,4]
[6,2,1,1,4,2]=>[1,6,1,4,3,4]
[6,2,1,2,1,4]=>[2,1,5,2,5,4]
[6,2,1,2,4,1]=>[1,6,4,3,4,1]
[6,2,1,4,1,2]=>[1,5,3,4,1,4]
[6,2,1,4,2,1]=>[1,5,3,4,4,1]
[6,2,2,1,1,4]=>[4,3,1,4,1,6]
[6,2,2,1,4,1]=>[4,2,1,6,1,4]
[6,2,2,4,1,1]=>[4,1,2,6,2,4]
[6,2,4,1,1,2]=>[1,4,3,5,1,5]
[6,2,4,1,2,1]=>[1,4,3,5,5,1]
[6,2,4,2,1,1]=>[3,6,5,1,1,3]
[6,4,1,1,2,2]=>[1,3,6,1,4,4]
[6,4,1,2,1,2]=>[1,3,5,4,1,4]
[6,4,1,2,2,1]=>[1,3,5,4,4,1]
[6,4,2,1,1,2]=>[1,3,4,5,1,5]
[6,4,2,1,2,1]=>[1,3,4,5,5,1]
[6,4,2,2,1,1]=>[3,5,6,1,1,3]
[1,1,2,2,5,5]=>[1,1,2,2,5,5]
[1,1,2,5,2,5]=>[3,3,4,4,1,1]
[1,1,2,5,5,2]=>[2,2,3,3,1,1]
[1,1,5,2,2,5]=>[3,3,4,1,4,1]
[1,1,5,2,5,2]=>[2,2,3,1,3,1]
[1,1,5,5,2,2]=>[2,2,3,1,1,3]
[1,2,1,2,5,5]=>[1,2,1,2,5,5]
[1,2,1,5,2,5]=>[3,4,3,4,1,1]
[1,2,1,5,5,2]=>[2,3,2,3,1,1]
[1,2,2,1,5,5]=>[1,2,1,2,4,4]
[1,2,2,5,1,5]=>[1,2,4,1,2,4]
[1,2,2,5,5,1]=>[1,2,4,4,2,1]
[1,2,5,1,2,5]=>[3,4,1,3,4,1]
[1,2,5,1,5,2]=>[2,3,1,2,3,1]
[1,2,5,2,1,5]=>[1,2,5,1,2,5]
[1,2,5,2,5,1]=>[1,2,5,5,2,1]
[1,2,5,5,1,2]=>[2,3,1,1,2,3]
[1,2,5,5,2,1]=>[3,4,1,1,4,3]
[1,5,1,2,2,5]=>[3,1,3,4,4,1]
[1,5,1,2,5,2]=>[2,1,2,3,3,1]
[1,5,1,5,2,2]=>[2,1,2,3,1,3]
[1,5,2,1,2,5]=>[3,1,4,3,4,1]
[1,5,2,1,5,2]=>[2,1,3,2,3,1]
[1,5,2,2,1,5]=>[1,5,2,1,2,5]
[1,5,2,2,5,1]=>[1,5,2,5,2,1]
[1,5,2,5,1,2]=>[2,1,3,1,2,3]
[1,5,2,5,2,1]=>[3,1,4,1,4,3]
[1,5,5,1,2,2]=>[2,1,1,2,3,3]
[1,5,5,2,1,2]=>[2,1,1,3,2,3]
[1,5,5,2,2,1]=>[3,1,1,4,4,3]
[2,1,1,2,5,5]=>[1,3,1,3,5,5]
[2,1,1,5,2,5]=>[3,5,3,5,1,1]
[2,1,1,5,5,2]=>[2,4,2,4,1,1]
[2,1,2,1,5,5]=>[1,3,1,3,4,4]
[2,1,2,5,1,5]=>[1,3,4,1,3,4]
[2,1,2,5,5,1]=>[1,3,4,4,3,1]
[2,1,5,1,2,5]=>[3,5,1,3,5,1]
[2,1,5,1,5,2]=>[2,4,1,2,4,1]
[2,1,5,2,1,5]=>[1,3,5,1,3,5]
[2,1,5,2,5,1]=>[1,3,5,5,3,1]
[2,1,5,5,1,2]=>[2,4,1,1,2,4]
[2,1,5,5,2,1]=>[3,5,1,1,5,3]
[2,2,1,1,5,5]=>[1,4,1,4,3,3]
[2,2,1,5,1,5]=>[1,4,3,1,4,3]
[2,2,1,5,5,1]=>[1,4,3,3,4,1]
[2,2,5,1,1,5]=>[1,5,3,1,5,3]
[2,2,5,1,5,1]=>[1,5,3,3,5,1]
[2,2,5,5,1,1]=>[3,1,5,5,1,3]
[2,5,1,1,2,5]=>[5,1,3,5,1,3]
[2,5,1,1,5,2]=>[2,5,1,2,5,1]
[2,5,1,2,1,5]=>[5,1,2,5,1,2]
[2,5,1,2,5,1]=>[5,1,2,2,1,5]
[2,5,1,5,1,2]=>[2,5,1,1,2,5]
[2,5,1,5,2,1]=>[5,1,3,3,1,5]
[2,5,2,1,1,5]=>[5,2,1,5,2,1]
[2,5,2,1,5,1]=>[5,2,1,1,2,5]
[2,5,2,5,1,1]=>[5,3,1,1,3,5]
[2,5,5,1,1,2]=>[4,1,3,3,4,1]
[2,5,5,1,2,1]=>[4,1,2,2,1,4]
[2,5,5,2,1,1]=>[4,2,1,1,2,4]
[5,1,1,2,2,5]=>[3,1,3,5,5,1]
[5,1,1,2,5,2]=>[2,1,2,4,4,1]
[5,1,1,5,2,2]=>[2,1,2,4,1,4]
[5,1,2,1,2,5]=>[3,1,5,3,5,1]
[5,1,2,1,5,2]=>[2,1,4,2,4,1]
[5,1,2,2,1,5]=>[1,5,3,1,3,5]
[5,1,2,2,5,1]=>[1,5,3,5,3,1]
[5,1,2,5,1,2]=>[2,1,4,1,2,4]
[5,1,2,5,2,1]=>[3,1,5,1,5,3]
[5,1,5,1,2,2]=>[2,1,1,2,4,4]
[5,1,5,2,1,2]=>[2,1,1,4,2,4]
[5,1,5,2,2,1]=>[3,1,1,5,5,3]
[5,2,1,1,2,5]=>[5,3,1,5,1,3]
[5,2,1,1,5,2]=>[2,1,5,2,5,1]
[5,2,1,2,1,5]=>[5,2,1,5,1,2]
[5,2,1,2,5,1]=>[5,2,1,2,1,5]
[5,2,1,5,1,2]=>[2,1,5,1,2,5]
[5,2,1,5,2,1]=>[5,3,1,3,1,5]
[5,2,2,1,1,5]=>[5,1,2,5,2,1]
[5,2,2,1,5,1]=>[5,1,2,1,2,5]
[5,2,2,5,1,1]=>[5,1,3,1,3,5]
[5,2,5,1,1,2]=>[4,3,1,3,4,1]
[5,2,5,1,2,1]=>[4,2,1,2,1,4]
[5,2,5,2,1,1]=>[4,1,2,1,2,4]
[5,5,1,1,2,2]=>[2,1,1,2,5,5]
[5,5,1,2,1,2]=>[2,1,1,5,2,5]
[5,5,1,2,2,1]=>[5,3,3,1,1,5]
[5,5,2,1,1,2]=>[4,3,3,1,4,1]
[5,5,2,1,2,1]=>[4,2,2,1,1,4]
[5,5,2,2,1,1]=>[4,1,1,2,2,4]
[1,1,2,2,5,6]=>[1,1,2,2,5,6]
[1,1,2,2,6,5]=>[2,2,3,3,6,1]
[1,1,2,5,2,6]=>[1,1,2,2,6,5]
[1,1,2,5,6,2]=>[2,2,3,3,1,6]
[1,1,2,6,2,5]=>[3,3,4,4,1,2]
[1,1,2,6,5,2]=>[3,3,4,4,2,1]
[1,1,5,2,2,6]=>[1,1,2,2,6,4]
[1,1,5,2,6,2]=>[2,2,3,3,1,5]
[1,1,5,6,2,2]=>[2,2,3,5,1,3]
[1,1,6,2,2,5]=>[3,3,4,2,4,1]
[1,1,6,2,5,2]=>[3,3,4,1,4,2]
[1,1,6,5,2,2]=>[2,2,3,6,1,3]
[1,2,1,2,5,6]=>[1,2,1,2,5,6]
[1,2,1,2,6,5]=>[2,3,2,3,6,1]
[1,2,1,5,2,6]=>[1,2,1,2,6,5]
[1,2,1,5,6,2]=>[2,3,2,3,1,6]
[1,2,1,6,2,5]=>[3,4,3,4,1,2]
[1,2,1,6,5,2]=>[3,4,3,4,2,1]
[1,2,2,1,5,6]=>[1,2,1,2,4,6]
[1,2,2,1,6,5]=>[2,3,2,3,5,1]
[1,2,2,5,1,6]=>[1,2,1,2,4,5]
[1,2,2,5,6,1]=>[1,2,5,4,2,1]
[1,2,2,6,1,5]=>[2,3,1,2,3,5]
[1,2,2,6,5,1]=>[1,2,6,4,2,1]
[1,2,5,1,2,6]=>[1,2,1,2,6,4]
[1,2,5,1,6,2]=>[2,3,2,3,1,5]
[1,2,5,2,1,6]=>[1,2,1,2,5,4]
[1,2,5,2,6,1]=>[1,2,4,5,2,1]
[1,2,5,6,1,2]=>[2,3,5,1,2,3]
[1,2,5,6,2,1]=>[1,2,4,6,2,1]
[1,2,6,1,2,5]=>[3,4,2,3,4,1]
[1,2,6,1,5,2]=>[3,4,1,3,4,2]
[1,2,6,2,1,5]=>[2,3,1,2,3,6]
[1,2,6,2,5,1]=>[1,2,6,5,2,1]
[1,2,6,5,1,2]=>[2,3,6,1,2,3]
[1,2,6,5,2,1]=>[1,2,5,6,2,1]
[1,5,1,2,2,6]=>[1,1,2,2,6,3]
[1,5,1,2,6,2]=>[2,2,3,3,1,4]
[1,5,1,6,2,2]=>[2,2,3,4,1,3]
[1,5,2,1,2,6]=>[1,2,1,2,6,3]
[1,5,2,1,6,2]=>[2,3,2,3,1,4]
[1,5,2,2,1,6]=>[1,2,1,2,5,3]
[1,5,2,2,6,1]=>[1,2,3,5,2,1]
[1,5,2,6,1,2]=>[2,3,4,1,2,3]
[1,5,2,6,2,1]=>[1,2,3,6,2,1]
[1,5,6,1,2,2]=>[2,4,1,2,3,3]
[1,5,6,2,1,2]=>[2,4,1,3,2,3]
[1,5,6,2,2,1]=>[1,3,6,2,2,1]
[1,6,1,2,2,5]=>[3,2,3,4,4,1]
[1,6,1,2,5,2]=>[3,1,3,4,4,2]
[1,6,1,5,2,2]=>[2,6,2,3,1,3]
[1,6,2,1,2,5]=>[3,2,4,3,4,1]
[1,6,2,1,5,2]=>[3,1,4,3,4,2]
[1,6,2,2,1,5]=>[2,1,3,2,3,6]
[1,6,2,2,5,1]=>[1,6,2,5,2,1]
[1,6,2,5,1,2]=>[2,6,3,1,2,3]
[1,6,2,5,2,1]=>[1,5,2,6,2,1]
[1,6,5,1,2,2]=>[2,5,1,2,3,3]
[1,6,5,2,1,2]=>[2,5,1,3,2,3]
[1,6,5,2,2,1]=>[1,4,6,2,2,1]
[2,1,1,2,5,6]=>[1,3,1,3,5,6]
[2,1,1,2,6,5]=>[2,4,2,4,6,1]
[2,1,1,5,2,6]=>[1,3,1,3,6,5]
[2,1,1,5,6,2]=>[2,4,2,4,1,6]
[2,1,1,6,2,5]=>[3,5,3,5,1,2]
[2,1,1,6,5,2]=>[3,5,3,5,2,1]
[2,1,2,1,5,6]=>[1,3,1,3,4,6]
[2,1,2,1,6,5]=>[2,4,2,4,5,1]
[2,1,2,5,1,6]=>[1,3,1,3,4,5]
[2,1,2,5,6,1]=>[1,3,5,4,3,1]
[2,1,2,6,1,5]=>[2,4,1,2,4,5]
[2,1,2,6,5,1]=>[1,3,6,4,3,1]
[2,1,5,1,2,6]=>[1,3,1,3,6,4]
[2,1,5,1,6,2]=>[2,4,2,4,1,5]
[2,1,5,2,1,6]=>[1,3,1,3,5,4]
[2,1,5,2,6,1]=>[1,3,4,5,3,1]
[2,1,5,6,1,2]=>[2,4,5,1,2,4]
[2,1,5,6,2,1]=>[1,3,4,6,3,1]
[2,1,6,1,2,5]=>[3,5,2,3,5,1]
[2,1,6,1,5,2]=>[3,5,1,3,5,2]
[2,1,6,2,1,5]=>[2,4,1,2,4,6]
[2,1,6,2,5,1]=>[1,3,6,5,3,1]
[2,1,6,5,1,2]=>[2,4,6,1,2,4]
[2,1,6,5,2,1]=>[1,3,5,6,3,1]
[2,2,1,1,5,6]=>[1,4,1,4,3,6]
[2,2,1,1,6,5]=>[2,5,2,5,4,1]
[2,2,1,5,1,6]=>[1,4,1,4,3,5]
[2,2,1,5,6,1]=>[1,4,5,3,4,1]
[2,2,1,6,1,5]=>[2,5,1,2,5,4]
[2,2,1,6,5,1]=>[1,4,6,3,4,1]
[2,2,5,1,1,6]=>[1,5,1,5,3,4]
[2,2,5,1,6,1]=>[1,5,4,3,5,1]
[2,2,5,6,1,1]=>[3,1,6,5,1,3]
[2,2,6,1,1,5]=>[4,1,3,4,1,6]
[2,2,6,1,5,1]=>[4,1,2,6,1,4]
[2,2,6,5,1,1]=>[4,2,1,6,2,4]
[2,5,1,1,2,6]=>[1,4,1,4,6,3]
[2,5,1,1,6,2]=>[2,5,2,5,1,4]
[2,5,1,2,1,6]=>[1,4,1,4,5,3]
[2,5,1,2,6,1]=>[1,4,3,5,4,1]
[2,5,1,6,1,2]=>[2,5,4,1,2,5]
[2,5,1,6,2,1]=>[1,4,3,6,4,1]
[2,5,2,1,1,6]=>[1,5,1,5,4,3]
[2,5,2,1,6,1]=>[1,5,3,4,5,1]
[2,5,2,6,1,1]=>[3,1,5,6,1,3]
[2,5,6,1,1,2]=>[4,1,6,3,4,1]
[2,5,6,1,2,1]=>[4,1,6,2,1,4]
[2,5,6,2,1,1]=>[4,2,6,1,2,4]
[2,6,1,1,2,5]=>[5,1,4,5,1,3]
[2,6,1,1,5,2]=>[5,1,3,5,1,4]
[2,6,1,2,1,5]=>[5,1,4,5,1,2]
[2,6,1,2,5,1]=>[5,1,3,2,1,5]
[2,6,1,5,1,2]=>[5,1,2,4,5,1]
[2,6,1,5,2,1]=>[5,1,2,3,1,5]
[2,6,2,1,1,5]=>[5,2,4,5,2,1]
[2,6,2,1,5,1]=>[5,2,3,1,2,5]
[2,6,2,5,1,1]=>[5,3,2,1,3,5]
[2,6,5,1,1,2]=>[5,2,1,4,5,2]
[2,6,5,1,2,1]=>[5,2,1,3,2,5]
[2,6,5,2,1,1]=>[5,3,1,2,3,5]
[5,1,1,2,2,6]=>[1,1,3,3,6,2]
[5,1,1,2,6,2]=>[2,2,4,4,1,3]
[5,1,1,6,2,2]=>[2,2,4,3,1,4]
[5,1,2,1,2,6]=>[1,3,1,3,6,2]
[5,1,2,1,6,2]=>[2,4,2,4,1,3]
[5,1,2,2,1,6]=>[1,3,1,3,5,2]
[5,1,2,2,6,1]=>[1,3,2,5,3,1]
[5,1,2,6,1,2]=>[2,4,3,1,2,4]
[5,1,2,6,2,1]=>[1,3,2,6,3,1]
[5,1,6,1,2,2]=>[2,3,1,2,4,4]
[5,1,6,2,1,2]=>[2,3,1,4,2,4]
[5,1,6,2,2,1]=>[1,2,6,3,3,1]
[5,2,1,1,2,6]=>[1,4,1,4,6,2]
[5,2,1,1,6,2]=>[2,5,2,5,1,3]
[5,2,1,2,1,6]=>[1,4,1,4,5,2]
[5,2,1,2,6,1]=>[1,4,2,5,4,1]
[5,2,1,6,1,2]=>[2,5,3,1,2,5]
[5,2,1,6,2,1]=>[1,4,2,6,4,1]
[5,2,2,1,1,6]=>[1,5,1,5,4,2]
[5,2,2,1,6,1]=>[1,5,2,4,5,1]
[5,2,2,6,1,1]=>[3,1,4,6,1,3]
[5,2,6,1,1,2]=>[4,1,5,3,4,1]
[5,2,6,1,2,1]=>[4,1,5,2,1,4]
[5,2,6,2,1,1]=>[4,2,5,1,2,4]
[5,6,1,1,2,2]=>[2,3,1,2,5,5]
[5,6,1,2,1,2]=>[2,3,1,5,2,5]
[5,6,1,2,2,1]=>[1,2,6,4,4,1]
[5,6,2,1,1,2]=>[4,5,3,1,4,1]
[5,6,2,1,2,1]=>[4,5,2,1,1,4]
[5,6,2,2,1,1]=>[4,5,1,2,2,4]
[6,1,1,2,2,5]=>[3,2,3,5,5,1]
[6,1,1,2,5,2]=>[3,1,3,5,5,2]
[6,1,1,5,2,2]=>[2,6,2,4,1,4]
[6,1,2,1,2,5]=>[3,2,5,3,5,1]
[6,1,2,1,5,2]=>[3,1,5,3,5,2]
[6,1,2,2,1,5]=>[2,1,4,2,4,6]
[6,1,2,2,5,1]=>[1,6,3,5,3,1]
[6,1,2,5,1,2]=>[2,6,4,1,2,4]
[6,1,2,5,2,1]=>[1,5,3,6,3,1]
[6,1,5,1,2,2]=>[2,5,1,2,4,4]
[6,1,5,2,1,2]=>[2,5,1,4,2,4]
[6,1,5,2,2,1]=>[1,4,6,3,3,1]
[6,2,1,1,2,5]=>[5,4,1,5,1,3]
[6,2,1,1,5,2]=>[5,3,1,5,1,4]
[6,2,1,2,1,5]=>[5,4,1,5,1,2]
[6,2,1,2,5,1]=>[5,3,1,2,1,5]
[6,2,1,5,1,2]=>[5,2,1,4,5,1]
[6,2,1,5,2,1]=>[5,2,1,3,1,5]
[6,2,2,1,1,5]=>[5,4,2,5,2,1]
[6,2,2,1,5,1]=>[5,3,2,1,2,5]
[6,2,2,5,1,1]=>[5,2,3,1,3,5]
[6,2,5,1,1,2]=>[5,1,2,4,5,2]
[6,2,5,1,2,1]=>[5,1,2,3,2,5]
[6,2,5,2,1,1]=>[5,1,3,2,3,5]
[6,5,1,1,2,2]=>[2,4,1,2,5,5]
[6,5,1,2,1,2]=>[2,4,1,5,2,5]
[6,5,1,2,2,1]=>[1,3,6,4,4,1]
[6,5,2,1,1,2]=>[4,6,3,1,4,1]
[6,5,2,1,2,1]=>[4,6,2,1,1,4]
[6,5,2,2,1,1]=>[4,6,1,2,2,4]
[1,1,2,3,3,3]=>[1,2,1,3,3,3]
[1,1,3,2,3,3]=>[1,3,2,1,3,3]
[1,1,3,3,2,3]=>[1,3,3,2,1,3]
[1,1,3,3,3,2]=>[1,3,3,3,1,2]
[1,2,1,3,3,3]=>[1,2,1,4,4,4]
[1,2,3,1,3,3]=>[4,5,4,1,1,1]
[1,2,3,3,1,3]=>[3,4,3,1,1,1]
[1,2,3,3,3,1]=>[2,3,2,1,1,1]
[1,3,1,2,3,3]=>[1,4,2,1,4,4]
[1,3,1,3,2,3]=>[1,4,4,2,1,4]
[1,3,1,3,3,2]=>[1,4,4,4,1,2]
[1,3,2,1,3,3]=>[4,1,5,4,1,1]
[1,3,2,3,1,3]=>[3,1,4,3,1,1]
[1,3,2,3,3,1]=>[2,1,3,2,1,1]
[1,3,3,1,2,3]=>[4,1,1,5,4,1]
[1,3,3,1,3,2]=>[4,1,1,1,4,5]
[1,3,3,2,1,3]=>[3,1,1,4,3,1]
[1,3,3,2,3,1]=>[2,1,1,3,2,1]
[1,3,3,3,1,2]=>[3,1,1,1,3,4]
[1,3,3,3,2,1]=>[2,1,1,1,3,2]
[2,1,1,3,3,3]=>[1,3,1,4,4,4]
[2,1,3,1,3,3]=>[4,6,4,1,1,1]
[2,1,3,3,1,3]=>[3,5,3,1,1,1]
[2,1,3,3,3,1]=>[2,4,2,1,1,1]
[2,3,1,1,3,3]=>[5,1,2,5,2,2]
[2,3,1,3,1,3]=>[3,6,1,3,1,1]
[2,3,1,3,3,1]=>[2,5,1,2,1,1]
[2,3,3,1,1,3]=>[4,1,2,2,4,2]
[2,3,3,1,3,1]=>[2,6,1,1,2,1]
[2,3,3,3,1,1]=>[3,1,2,2,2,3]
[3,1,1,2,3,3]=>[1,4,3,1,4,4]
[3,1,1,3,2,3]=>[1,4,4,3,1,4]
[3,1,1,3,3,2]=>[1,4,4,4,1,3]
[3,1,2,1,3,3]=>[4,1,6,4,1,1]
[3,1,2,3,1,3]=>[3,1,5,3,1,1]
[3,1,2,3,3,1]=>[2,1,4,2,1,1]
[3,1,3,1,2,3]=>[4,1,1,6,4,1]
[3,1,3,1,3,2]=>[4,1,1,1,4,6]
[3,1,3,2,1,3]=>[3,1,1,5,3,1]
[3,1,3,2,3,1]=>[2,1,1,4,2,1]
[3,1,3,3,1,2]=>[3,1,1,1,3,5]
[3,1,3,3,2,1]=>[2,1,1,1,4,2]
[3,2,1,1,3,3]=>[5,2,1,5,2,2]
[3,2,1,3,1,3]=>[3,1,6,3,1,1]
[3,2,1,3,3,1]=>[2,1,5,2,1,1]
[3,2,3,1,1,3]=>[4,2,1,2,4,2]
[3,2,3,1,3,1]=>[2,1,6,1,2,1]
[3,2,3,3,1,1]=>[3,2,1,2,2,3]
[3,3,1,1,2,3]=>[5,2,2,1,5,2]
[3,3,1,1,3,2]=>[5,2,2,2,5,1]
[3,3,1,2,1,3]=>[3,1,1,6,3,1]
[3,3,1,2,3,1]=>[2,1,1,5,2,1]
[3,3,1,3,1,2]=>[3,1,1,1,3,6]
[3,3,1,3,2,1]=>[2,1,1,1,5,2]
[3,3,2,1,1,3]=>[4,2,2,1,4,2]
[3,3,2,1,3,1]=>[2,1,1,6,2,1]
[3,3,2,3,1,1]=>[3,2,2,1,2,3]
[3,3,3,1,1,2]=>[4,2,2,2,4,1]
[3,3,3,1,2,1]=>[2,1,1,1,6,2]
[3,3,3,2,1,1]=>[3,2,2,2,1,3]
[1,1,2,3,3,4]=>[1,3,3,1,2,4]
[1,1,2,3,4,3]=>[1,3,4,2,1,3]
[1,1,2,4,3,3]=>[1,4,2,1,3,3]
[1,1,3,2,3,4]=>[1,3,3,1,2,5]
[1,1,3,2,4,3]=>[1,3,5,2,1,3]
[1,1,3,3,2,4]=>[1,3,3,1,2,6]
[1,1,3,3,4,2]=>[2,4,4,2,3,1]
[1,1,3,4,2,3]=>[1,3,6,2,1,3]
[1,1,3,4,3,2]=>[2,4,1,4,2,3]
[1,1,4,2,3,3]=>[1,5,2,1,3,3]
[1,1,4,3,2,3]=>[1,6,3,2,1,3]
[1,1,4,3,3,2]=>[2,1,4,4,2,3]
[1,2,1,3,3,4]=>[1,4,4,1,2,3]
[1,2,1,3,4,3]=>[1,4,3,2,1,4]
[1,2,1,4,3,3]=>[1,3,2,1,4,4]
[1,2,3,1,3,4]=>[1,5,5,1,2,3]
[1,2,3,1,4,3]=>[1,5,3,2,1,5]
[1,2,3,3,1,4]=>[3,1,1,3,4,5]
[1,2,3,3,4,1]=>[2,1,1,4,3,2]
[1,2,3,4,1,3]=>[3,1,5,4,3,1]
[1,2,3,4,3,1]=>[2,1,4,3,2,1]
[1,2,4,1,3,3]=>[1,3,2,1,5,5]
[1,2,4,3,1,3]=>[3,5,4,3,1,1]
[1,2,4,3,3,1]=>[2,4,3,2,1,1]
[1,3,1,2,3,4]=>[1,4,4,1,2,5]
[1,3,1,2,4,3]=>[1,4,5,2,1,4]
[1,3,1,3,2,4]=>[1,4,4,1,2,6]
[1,3,1,3,4,2]=>[2,5,5,2,3,1]
[1,3,1,4,2,3]=>[1,4,6,2,1,4]
[1,3,1,4,3,2]=>[2,5,1,5,2,3]
[1,3,2,1,3,4]=>[1,5,5,1,2,4]
[1,3,2,1,4,3]=>[1,5,4,2,1,5]
[1,3,2,3,1,4]=>[3,1,1,3,4,6]
[1,3,2,3,4,1]=>[2,1,1,5,3,2]
[1,3,2,4,1,3]=>[3,1,6,4,3,1]
[1,3,2,4,3,1]=>[2,1,5,3,2,1]
[1,3,3,1,2,4]=>[4,1,1,4,5,2]
[1,3,3,1,4,2]=>[4,1,1,4,5,3]
[1,3,3,2,1,4]=>[4,2,2,4,5,1]
[1,3,3,2,4,1]=>[2,1,1,6,3,2]
[1,3,3,4,1,2]=>[3,1,1,2,3,4]
[1,3,3,4,2,1]=>[3,2,2,1,4,3]
[1,3,4,1,2,3]=>[4,1,2,5,4,1]
[1,3,4,1,3,2]=>[4,1,3,1,4,5]
[1,3,4,2,1,3]=>[4,2,1,5,4,2]
[1,3,4,2,3,1]=>[2,1,6,3,2,1]
[1,3,4,3,1,2]=>[3,1,2,1,3,4]
[1,3,4,3,2,1]=>[3,2,1,2,4,3]
[1,4,1,2,3,3]=>[1,5,2,1,4,4]
[1,4,1,3,2,3]=>[1,6,4,2,1,4]
[1,4,1,3,3,2]=>[2,1,5,5,2,3]
[1,4,2,1,3,3]=>[1,4,2,1,5,5]
[1,4,2,3,1,3]=>[3,6,4,3,1,1]
[1,4,2,3,3,1]=>[2,5,3,2,1,1]
[1,4,3,1,2,3]=>[4,2,1,5,4,1]
[1,4,3,1,3,2]=>[4,3,1,1,4,5]
[1,4,3,2,1,3]=>[4,1,2,5,4,2]
[1,4,3,2,3,1]=>[2,6,1,3,2,1]
[1,4,3,3,1,2]=>[3,2,1,1,3,4]
[1,4,3,3,2,1]=>[3,1,2,2,4,3]
[2,1,1,3,3,4]=>[1,4,4,1,3,2]
[2,1,1,3,4,3]=>[1,4,2,3,1,4]
[2,1,1,4,3,3]=>[1,2,3,1,4,4]
[2,1,3,1,3,4]=>[1,5,5,1,3,2]
[2,1,3,1,4,3]=>[1,5,2,3,1,5]
[2,1,3,3,1,4]=>[3,1,1,3,5,4]
[2,1,3,3,4,1]=>[2,1,1,3,4,2]
[2,1,3,4,1,3]=>[3,1,4,5,3,1]
[2,1,3,4,3,1]=>[2,1,3,4,2,1]
[2,1,4,1,3,3]=>[1,2,3,1,5,5]
[2,1,4,3,1,3]=>[3,4,5,3,1,1]
[2,1,4,3,3,1]=>[2,3,4,2,1,1]
[2,3,1,1,3,4]=>[1,5,5,1,4,2]
[2,3,1,1,4,3]=>[1,5,2,4,1,5]
[2,3,1,3,1,4]=>[3,1,1,3,6,4]
[2,3,1,3,4,1]=>[2,1,1,3,5,2]
[2,3,1,4,1,3]=>[3,1,4,6,3,1]
[2,3,1,4,3,1]=>[2,1,3,5,2,1]
[2,3,3,1,1,4]=>[4,2,2,4,1,5]
[2,3,3,1,4,1]=>[2,1,1,3,6,2]
[2,3,3,4,1,1]=>[3,2,2,4,1,3]
[2,3,4,1,1,3]=>[4,2,5,1,4,2]
[2,3,4,1,3,1]=>[2,1,3,6,2,1]
[2,3,4,3,1,1]=>[3,2,4,1,2,3]
[2,4,1,1,3,3]=>[1,2,4,1,5,5]
[2,4,1,3,1,3]=>[3,4,6,3,1,1]
[2,4,1,3,3,1]=>[2,3,5,2,1,1]
[2,4,3,1,1,3]=>[4,5,1,2,4,2]
[2,4,3,1,3,1]=>[2,3,6,1,2,1]
[2,4,3,3,1,1]=>[3,4,1,2,2,3]
[3,1,1,2,3,4]=>[1,4,4,1,3,5]
[3,1,1,2,4,3]=>[1,4,5,3,1,4]
[3,1,1,3,2,4]=>[1,4,4,1,3,6]
[3,1,1,3,4,2]=>[2,5,5,2,4,1]
[3,1,1,4,2,3]=>[1,4,6,3,1,4]
[3,1,1,4,3,2]=>[2,5,1,5,2,4]
[3,1,2,1,3,4]=>[1,5,5,1,3,4]
[3,1,2,1,4,3]=>[1,5,4,3,1,5]
[3,1,2,3,1,4]=>[3,1,1,3,5,6]
[3,1,2,3,4,1]=>[2,1,1,5,4,2]
[3,1,2,4,1,3]=>[3,1,6,5,3,1]
[3,1,2,4,3,1]=>[2,1,5,4,2,1]
[3,1,3,1,2,4]=>[4,1,1,4,6,2]
[3,1,3,1,4,2]=>[4,1,1,4,6,3]
[3,1,3,2,1,4]=>[4,2,2,4,6,1]
[3,1,3,2,4,1]=>[2,1,1,6,4,2]
[3,1,3,4,1,2]=>[3,1,1,2,3,5]
[3,1,3,4,2,1]=>[3,2,2,1,5,3]
[3,1,4,1,2,3]=>[4,1,2,6,4,1]
[3,1,4,1,3,2]=>[4,1,3,1,4,6]
[3,1,4,2,1,3]=>[4,2,1,6,4,2]
[3,1,4,2,3,1]=>[2,1,6,4,2,1]
[3,1,4,3,1,2]=>[3,1,2,1,3,5]
[3,1,4,3,2,1]=>[3,2,1,2,5,3]
[3,2,1,1,3,4]=>[1,5,5,1,4,3]
[3,2,1,1,4,3]=>[1,5,3,4,1,5]
[3,2,1,3,1,4]=>[3,1,1,3,6,5]
[3,2,1,3,4,1]=>[2,1,1,4,5,2]
[3,2,1,4,1,3]=>[3,1,5,6,3,1]
[3,2,1,4,3,1]=>[2,1,4,5,2,1]
[3,2,3,1,1,4]=>[4,2,2,4,1,6]
[3,2,3,1,4,1]=>[2,1,1,4,6,2]
[3,2,3,4,1,1]=>[3,2,2,5,1,3]
[3,2,4,1,1,3]=>[4,2,6,1,4,2]
[3,2,4,1,3,1]=>[2,1,4,6,2,1]
[3,2,4,3,1,1]=>[3,2,5,1,2,3]
[3,3,1,1,2,4]=>[5,2,2,5,1,3]
[3,3,1,1,4,2]=>[5,2,2,5,1,4]
[3,3,1,2,1,4]=>[5,3,3,5,1,2]
[3,3,1,2,4,1]=>[2,1,1,6,5,2]
[3,3,1,4,1,2]=>[3,1,1,2,3,6]
[3,3,1,4,2,1]=>[3,2,2,1,6,3]
[3,3,2,1,1,4]=>[5,3,3,5,2,1]
[3,3,2,1,4,1]=>[2,1,1,5,6,2]
[3,3,2,4,1,1]=>[3,2,2,6,1,3]
[3,3,4,1,1,2]=>[4,2,2,3,4,1]
[3,3,4,1,2,1]=>[4,3,3,2,1,4]
[3,3,4,2,1,1]=>[4,3,3,1,2,4]
[3,4,1,1,2,3]=>[5,2,3,1,5,2]
[3,4,1,1,3,2]=>[5,2,4,2,5,1]
[3,4,1,2,1,3]=>[5,3,2,1,5,3]
[3,4,1,2,3,1]=>[2,1,6,5,2,1]
[3,4,1,3,1,2]=>[3,1,2,1,3,6]
[3,4,1,3,2,1]=>[3,2,1,2,6,3]
[3,4,2,1,1,3]=>[5,3,1,2,5,3]
[3,4,2,1,3,1]=>[2,1,5,6,2,1]
[3,4,2,3,1,1]=>[3,2,6,1,2,3]
[3,4,3,1,1,2]=>[4,2,3,2,4,1]
[3,4,3,1,2,1]=>[4,3,2,3,1,4]
[3,4,3,2,1,1]=>[4,3,1,3,2,4]
[4,1,1,2,3,3]=>[1,5,3,1,4,4]
[4,1,1,3,2,3]=>[1,6,4,3,1,4]
[4,1,1,3,3,2]=>[2,1,5,5,2,4]
[4,1,2,1,3,3]=>[1,4,3,1,5,5]
[4,1,2,3,1,3]=>[3,6,5,3,1,1]
[4,1,2,3,3,1]=>[2,5,4,2,1,1]
[4,1,3,1,2,3]=>[4,2,1,6,4,1]
[4,1,3,1,3,2]=>[4,3,1,1,4,6]
[4,1,3,2,1,3]=>[4,1,2,6,4,2]
[4,1,3,2,3,1]=>[2,6,1,4,2,1]
[4,1,3,3,1,2]=>[3,2,1,1,3,5]
[4,1,3,3,2,1]=>[3,1,2,2,5,3]
[4,2,1,1,3,3]=>[1,3,4,1,5,5]
[4,2,1,3,1,3]=>[3,5,6,3,1,1]
[4,2,1,3,3,1]=>[2,4,5,2,1,1]
[4,2,3,1,1,3]=>[4,6,1,2,4,2]
[4,2,3,1,3,1]=>[2,4,6,1,2,1]
[4,2,3,3,1,1]=>[3,5,1,2,2,3]
[4,3,1,1,2,3]=>[5,3,2,1,5,2]
[4,3,1,1,3,2]=>[5,4,2,2,5,1]
[4,3,1,2,1,3]=>[5,2,3,1,5,3]
[4,3,1,2,3,1]=>[2,6,1,5,2,1]
[4,3,1,3,1,2]=>[3,2,1,1,3,6]
[4,3,1,3,2,1]=>[3,1,2,2,6,3]
[4,3,2,1,1,3]=>[5,1,3,2,5,3]
[4,3,2,1,3,1]=>[2,5,1,6,2,1]
[4,3,2,3,1,1]=>[3,6,2,1,2,3]
[4,3,3,1,1,2]=>[4,3,2,2,4,1]
[4,3,3,1,2,1]=>[4,2,3,3,1,4]
[4,3,3,2,1,1]=>[4,1,3,3,2,4]
[1,1,2,3,3,5]=>[1,2,1,3,3,5]
[1,1,2,3,5,3]=>[1,2,1,3,5,3]
[1,1,2,5,3,3]=>[1,2,1,3,6,3]
[1,1,3,2,3,5]=>[1,2,1,3,3,4]
[1,1,3,2,5,3]=>[1,2,1,3,4,3]
[1,1,3,3,2,5]=>[1,3,2,1,3,4]
[1,1,3,3,5,2]=>[1,3,4,3,1,2]
[1,1,3,5,2,3]=>[1,4,3,2,1,3]
[1,1,3,5,3,2]=>[1,4,3,3,1,2]
[1,1,5,2,3,3]=>[1,6,2,1,3,3]
[1,1,5,3,2,3]=>[1,5,3,2,1,3]
[1,1,5,3,3,2]=>[1,5,3,3,1,2]
[1,2,1,3,3,5]=>[1,2,1,4,4,5]
[1,2,1,3,5,3]=>[1,2,1,4,5,4]
[1,2,1,5,3,3]=>[1,2,1,4,6,4]
[1,2,3,1,3,5]=>[1,2,1,5,5,4]
[1,2,3,1,5,3]=>[1,2,1,5,4,5]
[1,2,3,3,1,5]=>[3,4,3,1,1,6]
[1,2,3,3,5,1]=>[2,3,2,1,1,5]
[1,2,3,5,1,3]=>[3,4,3,1,6,1]
[1,2,3,5,3,1]=>[2,3,2,1,5,1]
[1,2,5,1,3,3]=>[4,5,4,1,2,1]
[1,2,5,3,1,3]=>[4,5,4,2,1,2]
[1,2,5,3,3,1]=>[2,3,2,1,6,1]
[1,3,1,2,3,5]=>[1,2,1,4,4,3]
[1,3,1,2,5,3]=>[1,2,1,4,3,4]
[1,3,1,3,2,5]=>[1,4,2,1,4,3]
[1,3,1,3,5,2]=>[1,4,3,4,1,2]
[1,3,1,5,2,3]=>[1,3,4,2,1,4]
[1,3,1,5,3,2]=>[1,3,4,4,1,2]
[1,3,2,1,3,5]=>[1,2,1,5,5,3]
[1,3,2,1,5,3]=>[1,2,1,5,3,5]
[1,3,2,3,1,5]=>[3,4,3,1,1,5]
[1,3,2,3,5,1]=>[2,3,2,1,1,4]
[1,3,2,5,1,3]=>[3,4,3,1,5,1]
[1,3,2,5,3,1]=>[2,3,2,1,4,1]
[1,3,3,1,2,5]=>[1,5,2,1,5,3]
[1,3,3,1,5,2]=>[1,5,3,5,1,2]
[1,3,3,2,1,5]=>[3,1,4,3,1,5]
[1,3,3,2,5,1]=>[2,1,3,2,1,4]
[1,3,3,5,1,2]=>[3,1,5,1,3,4]
[1,3,3,5,2,1]=>[2,1,4,1,3,2]
[1,3,5,1,2,3]=>[1,3,5,2,1,5]
[1,3,5,1,3,2]=>[1,3,5,5,1,2]
[1,3,5,2,1,3]=>[3,5,1,4,3,1]
[1,3,5,2,3,1]=>[2,4,1,3,2,1]
[1,3,5,3,1,2]=>[3,5,1,1,3,4]
[1,3,5,3,2,1]=>[2,4,1,1,3,2]
[1,5,1,2,3,3]=>[1,6,2,1,4,4]
[1,5,1,3,2,3]=>[1,5,4,2,1,4]
[1,5,1,3,3,2]=>[1,5,4,4,1,2]
[1,5,2,1,3,3]=>[4,2,5,4,1,1]
[1,5,2,3,1,3]=>[4,1,5,4,2,2]
[1,5,2,3,3,1]=>[2,6,3,2,1,1]
[1,5,3,1,2,3]=>[1,4,5,2,1,5]
[1,5,3,1,3,2]=>[1,4,5,5,1,2]
[1,5,3,2,1,3]=>[3,6,1,4,3,1]
[1,5,3,2,3,1]=>[2,5,1,3,2,1]
[1,5,3,3,1,2]=>[3,6,1,1,3,4]
[1,5,3,3,2,1]=>[2,5,1,1,3,2]
[2,1,1,3,3,5]=>[1,3,1,4,4,5]
[2,1,1,3,5,3]=>[1,3,1,4,5,4]
[2,1,1,5,3,3]=>[1,3,1,4,6,4]
[2,1,3,1,3,5]=>[1,3,1,5,5,4]
[2,1,3,1,5,3]=>[1,3,1,5,4,5]
[2,1,3,3,1,5]=>[3,5,3,1,1,6]
[2,1,3,3,5,1]=>[2,4,2,1,1,5]
[2,1,3,5,1,3]=>[3,5,3,1,6,1]
[2,1,3,5,3,1]=>[2,4,2,1,5,1]
[2,1,5,1,3,3]=>[4,6,4,1,2,1]
[2,1,5,3,1,3]=>[4,6,4,2,1,2]
[2,1,5,3,3,1]=>[2,4,2,1,6,1]
[2,3,1,1,3,5]=>[1,4,1,5,5,3]
[2,3,1,1,5,3]=>[1,4,1,5,3,5]
[2,3,1,3,1,5]=>[3,6,3,1,1,5]
[2,3,1,3,5,1]=>[2,5,2,1,1,4]
[2,3,1,5,1,3]=>[3,6,3,1,5,1]
[2,3,1,5,3,1]=>[2,5,2,1,4,1]
[2,3,3,1,1,5]=>[4,1,2,4,2,6]
[2,3,3,1,5,1]=>[2,6,1,2,1,4]
[2,3,3,5,1,1]=>[3,1,2,5,2,3]
[2,3,5,1,1,3]=>[4,1,6,2,4,2]
[2,3,5,1,3,1]=>[2,6,4,1,2,1]
[2,3,5,3,1,1]=>[3,1,5,2,2,3]
[2,5,1,1,3,3]=>[5,1,3,5,2,2]
[2,5,1,3,1,3]=>[5,1,2,5,3,3]
[2,5,1,3,3,1]=>[2,5,6,2,1,1]
[2,5,3,1,1,3]=>[5,2,1,3,5,3]
[2,5,3,1,3,1]=>[2,6,5,1,2,1]
[2,5,3,3,1,1]=>[3,1,6,2,2,3]
[3,1,1,2,3,5]=>[1,3,1,4,4,2]
[3,1,1,2,5,3]=>[1,3,1,4,2,4]
[3,1,1,3,2,5]=>[1,4,3,1,4,2]
[3,1,1,3,5,2]=>[1,4,2,4,1,3]
[3,1,1,5,2,3]=>[1,2,4,3,1,4]
[3,1,1,5,3,2]=>[1,2,4,4,1,3]
[3,1,2,1,3,5]=>[1,3,1,5,5,2]
[3,1,2,1,5,3]=>[1,3,1,5,2,5]
[3,1,2,3,1,5]=>[3,5,3,1,1,4]
[3,1,2,3,5,1]=>[2,4,2,1,1,3]
[3,1,2,5,1,3]=>[3,5,3,1,4,1]
[3,1,2,5,3,1]=>[2,4,2,1,3,1]
[3,1,3,1,2,5]=>[1,5,3,1,5,2]
[3,1,3,1,5,2]=>[1,5,2,5,1,3]
[3,1,3,2,1,5]=>[3,1,5,3,1,4]
[3,1,3,2,5,1]=>[2,1,4,2,1,3]
[3,1,3,5,1,2]=>[3,1,4,1,3,5]
[3,1,3,5,2,1]=>[2,1,3,1,4,2]
[3,1,5,1,2,3]=>[1,2,5,3,1,5]
[3,1,5,1,3,2]=>[1,2,5,5,1,3]
[3,1,5,2,1,3]=>[3,4,1,5,3,1]
[3,1,5,2,3,1]=>[2,3,1,4,2,1]
[3,1,5,3,1,2]=>[3,4,1,1,3,5]
[3,1,5,3,2,1]=>[2,3,1,1,4,2]
[3,2,1,1,3,5]=>[1,4,1,5,5,2]
[3,2,1,1,5,3]=>[1,4,1,5,2,5]
[3,2,1,3,1,5]=>[3,6,3,1,1,4]
[3,2,1,3,5,1]=>[2,5,2,1,1,3]
[3,2,1,5,1,3]=>[3,6,3,1,4,1]
[3,2,1,5,3,1]=>[2,5,2,1,3,1]
[3,2,3,1,1,5]=>[4,1,2,4,2,5]
[3,2,3,1,5,1]=>[2,6,1,2,1,3]
[3,2,3,5,1,1]=>[3,1,2,4,2,3]
[3,2,5,1,1,3]=>[4,1,5,2,4,2]
[3,2,5,1,3,1]=>[2,6,3,1,2,1]
[3,2,5,3,1,1]=>[3,1,4,2,2,3]
[3,3,1,1,2,5]=>[1,5,4,1,5,2]
[3,3,1,1,5,2]=>[1,5,2,5,1,4]
[3,3,1,2,1,5]=>[3,1,6,3,1,4]
[3,3,1,2,5,1]=>[2,1,5,2,1,3]
[3,3,1,5,1,2]=>[3,1,4,1,3,6]
[3,3,1,5,2,1]=>[2,1,3,1,5,2]
[3,3,2,1,1,5]=>[4,2,1,4,2,5]
[3,3,2,1,5,1]=>[2,1,6,2,1,3]
[3,3,2,5,1,1]=>[3,2,1,4,2,3]
[3,3,5,1,1,2]=>[4,2,5,2,4,1]
[3,3,5,1,2,1]=>[2,1,3,1,6,2]
[3,3,5,2,1,1]=>[3,2,4,2,1,3]
[3,5,1,1,2,3]=>[1,2,5,4,1,5]
[3,5,1,1,3,2]=>[1,2,5,5,1,4]
[3,5,1,2,1,3]=>[3,4,1,6,3,1]
[3,5,1,2,3,1]=>[2,3,1,5,2,1]
[3,5,1,3,1,2]=>[3,4,1,1,3,6]
[3,5,1,3,2,1]=>[2,3,1,1,5,2]
[3,5,2,1,1,3]=>[4,5,2,1,4,2]
[3,5,2,1,3,1]=>[2,3,1,6,2,1]
[3,5,2,3,1,1]=>[3,4,2,1,2,3]
[3,5,3,1,1,2]=>[4,5,2,2,4,1]
[3,5,3,1,2,1]=>[2,3,1,1,6,2]
[3,5,3,2,1,1]=>[3,4,2,2,1,3]
[5,1,1,2,3,3]=>[1,6,3,1,4,4]
[5,1,1,3,2,3]=>[1,5,4,3,1,4]
[5,1,1,3,3,2]=>[1,5,4,4,1,3]
[5,1,2,1,3,3]=>[4,2,6,4,1,1]
[5,1,2,3,1,3]=>[4,1,6,4,2,2]
[5,1,2,3,3,1]=>[2,6,4,2,1,1]
[5,1,3,1,2,3]=>[1,4,5,3,1,5]
[5,1,3,1,3,2]=>[1,4,5,5,1,3]
[5,1,3,2,1,3]=>[3,6,1,5,3,1]
[5,1,3,2,3,1]=>[2,5,1,4,2,1]
[5,1,3,3,1,2]=>[3,6,1,1,3,5]
[5,1,3,3,2,1]=>[2,5,1,1,4,2]
[5,2,1,1,3,3]=>[5,3,1,5,2,2]
[5,2,1,3,1,3]=>[5,2,1,5,3,3]
[5,2,1,3,3,1]=>[2,6,5,2,1,1]
[5,2,3,1,1,3]=>[5,1,2,3,5,3]
[5,2,3,1,3,1]=>[2,5,6,1,2,1]
[5,2,3,3,1,1]=>[3,6,1,2,2,3]
[5,3,1,1,2,3]=>[1,3,5,4,1,5]
[5,3,1,1,3,2]=>[1,3,5,5,1,4]
[5,3,1,2,1,3]=>[3,5,1,6,3,1]
[5,3,1,2,3,1]=>[2,4,1,5,2,1]
[5,3,1,3,1,2]=>[3,5,1,1,3,6]
[5,3,1,3,2,1]=>[2,4,1,1,5,2]
[5,3,2,1,1,3]=>[4,6,2,1,4,2]
[5,3,2,1,3,1]=>[2,4,1,6,2,1]
[5,3,2,3,1,1]=>[3,5,2,1,2,3]
[5,3,3,1,1,2]=>[4,6,2,2,4,1]
[5,3,3,1,2,1]=>[2,4,1,1,6,2]
[5,3,3,2,1,1]=>[3,5,2,2,1,3]
[1,1,2,3,3,6]=>[1,2,1,3,3,6]
[1,1,2,3,6,3]=>[2,3,2,4,4,1]
[1,1,2,6,3,3]=>[2,3,2,4,1,4]
[1,1,3,2,3,6]=>[1,3,2,1,3,6]
[1,1,3,2,6,3]=>[2,4,3,2,4,1]
[1,1,3,3,2,6]=>[1,3,2,1,3,5]
[1,1,3,3,6,2]=>[1,3,5,3,1,2]
[1,1,3,6,2,3]=>[2,4,1,3,2,4]
[1,1,3,6,3,2]=>[1,3,6,3,1,2]
[1,1,6,2,3,3]=>[2,1,3,2,4,4]
[1,1,6,3,2,3]=>[2,1,4,3,2,4]
[1,1,6,3,3,2]=>[1,6,3,3,1,2]
[1,2,1,3,3,6]=>[1,2,1,4,4,6]
[1,2,1,3,6,3]=>[2,3,2,5,5,1]
[1,2,1,6,3,3]=>[2,3,2,5,1,5]
[1,2,3,1,3,6]=>[4,5,4,1,1,2]
[1,2,3,1,6,3]=>[4,5,4,1,1,3]
[1,2,3,3,1,6]=>[4,5,4,2,2,1]
[1,2,3,3,6,1]=>[2,3,2,1,1,6]
[1,2,3,6,1,3]=>[3,4,3,1,1,2]
[1,2,3,6,3,1]=>[3,4,3,2,2,1]
[1,2,6,1,3,3]=>[4,5,4,1,3,1]
[1,2,6,3,1,3]=>[3,4,3,1,2,1]
[1,2,6,3,3,1]=>[3,4,3,2,1,2]
[1,3,1,2,3,6]=>[1,4,2,1,4,6]
[1,3,1,2,6,3]=>[2,5,3,2,5,1]
[1,3,1,3,2,6]=>[1,4,2,1,4,5]
[1,3,1,3,6,2]=>[1,4,5,4,1,2]
[1,3,1,6,2,3]=>[2,5,1,3,2,5]
[1,3,1,6,3,2]=>[1,4,6,4,1,2]
[1,3,2,1,3,6]=>[4,1,5,4,1,2]
[1,3,2,1,6,3]=>[4,1,5,4,1,3]
[1,3,2,3,1,6]=>[4,2,5,4,2,1]
[1,3,2,3,6,1]=>[2,1,3,2,1,6]
[1,3,2,6,1,3]=>[3,1,4,3,1,2]
[1,3,2,6,3,1]=>[3,2,4,3,2,1]
[1,3,3,1,2,6]=>[1,5,2,1,5,4]
[1,3,3,1,6,2]=>[1,5,4,5,1,2]
[1,3,3,2,1,6]=>[3,1,4,3,1,6]
[1,3,3,2,6,1]=>[2,1,3,2,1,5]
[1,3,3,6,1,2]=>[3,1,6,1,3,4]
[1,3,3,6,2,1]=>[2,1,5,1,3,2]
[1,3,6,1,2,3]=>[4,1,3,5,4,1]
[1,3,6,1,3,2]=>[4,1,2,1,4,5]
[1,3,6,2,1,3]=>[3,1,2,4,3,1]
[1,3,6,2,3,1]=>[3,2,1,4,3,2]
[1,3,6,3,1,2]=>[4,2,1,2,4,5]
[1,3,6,3,2,1]=>[2,1,6,1,3,2]
[1,6,1,2,3,3]=>[2,1,3,2,5,5]
[1,6,1,3,2,3]=>[2,1,5,3,2,5]
[1,6,1,3,3,2]=>[1,6,4,4,1,2]
[1,6,2,1,3,3]=>[4,3,5,4,1,1]
[1,6,2,3,1,3]=>[3,2,4,3,1,1]
[1,6,2,3,3,1]=>[3,1,4,3,2,2]
[1,6,3,1,2,3]=>[4,3,1,5,4,1]
[1,6,3,1,3,2]=>[4,2,1,1,4,5]
[1,6,3,2,1,3]=>[3,2,1,4,3,1]
[1,6,3,2,3,1]=>[3,1,2,4,3,2]
[1,6,3,3,1,2]=>[4,1,2,2,4,5]
[1,6,3,3,2,1]=>[2,6,1,1,3,2]
[2,1,1,3,3,6]=>[1,3,1,4,4,6]
[2,1,1,3,6,3]=>[2,4,2,5,5,1]
[2,1,1,6,3,3]=>[2,4,2,5,1,5]
[2,1,3,1,3,6]=>[4,6,4,1,1,2]
[2,1,3,1,6,3]=>[4,6,4,1,1,3]
[2,1,3,3,1,6]=>[4,6,4,2,2,1]
[2,1,3,3,6,1]=>[2,4,2,1,1,6]
[2,1,3,6,1,3]=>[3,5,3,1,1,2]
[2,1,3,6,3,1]=>[3,5,3,2,2,1]
[2,1,6,1,3,3]=>[4,6,4,1,3,1]
[2,1,6,3,1,3]=>[3,5,3,1,2,1]
[2,1,6,3,3,1]=>[3,5,3,2,1,2]
[2,3,1,1,3,6]=>[5,1,2,5,2,3]
[2,3,1,1,6,3]=>[5,1,2,5,2,4]
[2,3,1,3,1,6]=>[5,1,3,5,3,2]
[2,3,1,3,6,1]=>[2,5,1,2,1,6]
[2,3,1,6,1,3]=>[3,6,1,3,1,2]
[2,3,1,6,3,1]=>[3,6,2,3,2,1]
[2,3,3,1,1,6]=>[5,2,3,5,3,1]
[2,3,3,1,6,1]=>[2,6,1,2,1,5]
[2,3,3,6,1,1]=>[3,1,2,6,2,3]
[2,3,6,1,1,3]=>[4,1,2,3,4,2]
[2,3,6,1,3,1]=>[4,1,3,2,4,3]
[2,3,6,3,1,1]=>[4,2,3,1,3,4]
[2,6,1,1,3,3]=>[5,1,4,5,2,2]
[2,6,1,3,1,3]=>[3,6,2,3,1,1]
[2,6,1,3,3,1]=>[3,6,1,3,2,2]
[2,6,3,1,1,3]=>[4,1,3,2,4,2]
[2,6,3,1,3,1]=>[4,1,2,3,4,3]
[2,6,3,3,1,1]=>[4,2,1,3,3,4]
[3,1,1,2,3,6]=>[1,4,3,1,4,6]
[3,1,1,2,6,3]=>[2,5,4,2,5,1]
[3,1,1,3,2,6]=>[1,4,3,1,4,5]
[3,1,1,3,6,2]=>[1,4,5,4,1,3]
[3,1,1,6,2,3]=>[2,5,1,4,2,5]
[3,1,1,6,3,2]=>[1,4,6,4,1,3]
[3,1,2,1,3,6]=>[4,1,6,4,1,2]
[3,1,2,1,6,3]=>[4,1,6,4,1,3]
[3,1,2,3,1,6]=>[4,2,6,4,2,1]
[3,1,2,3,6,1]=>[2,1,4,2,1,6]
[3,1,2,6,1,3]=>[3,1,5,3,1,2]
[3,1,2,6,3,1]=>[3,2,5,3,2,1]
[3,1,3,1,2,6]=>[1,5,3,1,5,4]
[3,1,3,1,6,2]=>[1,5,4,5,1,3]
[3,1,3,2,1,6]=>[3,1,5,3,1,6]
[3,1,3,2,6,1]=>[2,1,4,2,1,5]
[3,1,3,6,1,2]=>[3,1,6,1,3,5]
[3,1,3,6,2,1]=>[2,1,5,1,4,2]
[3,1,6,1,2,3]=>[4,1,3,6,4,1]
[3,1,6,1,3,2]=>[4,1,2,1,4,6]
[3,1,6,2,1,3]=>[3,1,2,5,3,1]
[3,1,6,2,3,1]=>[3,2,1,5,3,2]
[3,1,6,3,1,2]=>[4,2,1,2,4,6]
[3,1,6,3,2,1]=>[2,1,6,1,4,2]
[3,2,1,1,3,6]=>[5,2,1,5,2,3]
[3,2,1,1,6,3]=>[5,2,1,5,2,4]
[3,2,1,3,1,6]=>[5,3,1,5,3,2]
[3,2,1,3,6,1]=>[2,1,5,2,1,6]
[3,2,1,6,1,3]=>[3,1,6,3,1,2]
[3,2,1,6,3,1]=>[3,2,6,3,2,1]
[3,2,3,1,1,6]=>[5,3,2,5,3,1]
[3,2,3,1,6,1]=>[2,1,6,2,1,5]
[3,2,3,6,1,1]=>[3,2,1,6,2,3]
[3,2,6,1,1,3]=>[4,2,1,3,4,2]
[3,2,6,1,3,1]=>[4,3,1,2,4,3]
[3,2,6,3,1,1]=>[4,3,2,1,3,4]
[3,3,1,1,2,6]=>[1,5,4,1,5,3]
[3,3,1,1,6,2]=>[1,5,3,5,1,4]
[3,3,1,2,1,6]=>[3,1,6,3,1,5]
[3,3,1,2,6,1]=>[2,1,5,2,1,4]
[3,3,1,6,1,2]=>[3,1,5,1,3,6]
[3,3,1,6,2,1]=>[2,1,4,1,5,2]
[3,3,2,1,1,6]=>[4,2,1,4,2,6]
[3,3,2,1,6,1]=>[2,1,6,2,1,4]
[3,3,2,6,1,1]=>[3,2,1,5,2,3]
[3,3,6,1,1,2]=>[4,2,6,2,4,1]
[3,3,6,1,2,1]=>[2,1,4,1,6,2]
[3,3,6,2,1,1]=>[3,2,5,2,1,3]
[3,6,1,1,2,3]=>[5,2,4,1,5,2]
[3,6,1,1,3,2]=>[5,2,3,2,5,1]
[3,6,1,2,1,3]=>[3,1,2,6,3,1]
[3,6,1,2,3,1]=>[3,2,1,6,3,2]
[3,6,1,3,1,2]=>[5,3,2,3,5,1]
[3,6,1,3,2,1]=>[2,1,6,1,5,2]
[3,6,2,1,1,3]=>[4,2,3,1,4,2]
[3,6,2,1,3,1]=>[4,3,2,1,4,3]
[3,6,2,3,1,1]=>[4,3,1,2,3,4]
[3,6,3,1,1,2]=>[5,3,1,3,5,2]
[3,6,3,1,2,1]=>[2,1,5,1,6,2]
[3,6,3,2,1,1]=>[3,2,6,2,1,3]
[6,1,1,2,3,3]=>[2,1,4,2,5,5]
[6,1,1,3,2,3]=>[2,1,5,4,2,5]
[6,1,1,3,3,2]=>[1,6,4,4,1,3]
[6,1,2,1,3,3]=>[4,3,6,4,1,1]
[6,1,2,3,1,3]=>[3,2,5,3,1,1]
[6,1,2,3,3,1]=>[3,1,5,3,2,2]
[6,1,3,1,2,3]=>[4,3,1,6,4,1]
[6,1,3,1,3,2]=>[4,2,1,1,4,6]
[6,1,3,2,1,3]=>[3,2,1,5,3,1]
[6,1,3,2,3,1]=>[3,1,2,5,3,2]
[6,1,3,3,1,2]=>[4,1,2,2,4,6]
[6,1,3,3,2,1]=>[2,6,1,1,4,2]
[6,2,1,1,3,3]=>[5,4,1,5,2,2]
[6,2,1,3,1,3]=>[3,2,6,3,1,1]
[6,2,1,3,3,1]=>[3,1,6,3,2,2]
[6,2,3,1,1,3]=>[4,3,1,2,4,2]
[6,2,3,1,3,1]=>[4,2,1,3,4,3]
[6,2,3,3,1,1]=>[4,1,2,3,3,4]
[6,3,1,1,2,3]=>[5,4,2,1,5,2]
[6,3,1,1,3,2]=>[5,3,2,2,5,1]
[6,3,1,2,1,3]=>[3,2,1,6,3,1]
[6,3,1,2,3,1]=>[3,1,2,6,3,2]
[6,3,1,3,1,2]=>[5,2,3,3,5,1]
[6,3,1,3,2,1]=>[2,6,1,1,5,2]
[6,3,2,1,1,3]=>[4,3,2,1,4,2]
[6,3,2,1,3,1]=>[4,2,3,1,4,3]
[6,3,2,3,1,1]=>[4,1,3,2,3,4]
[6,3,3,1,1,2]=>[5,1,3,3,5,2]
[6,3,3,1,2,1]=>[2,5,1,1,6,2]
[6,3,3,2,1,1]=>[3,6,2,2,1,3]
[1,1,2,3,4,4]=>[1,3,1,2,4,4]
[1,1,2,4,3,4]=>[1,4,3,1,2,4]
[1,1,2,4,4,3]=>[1,4,4,2,1,3]
[1,1,3,2,4,4]=>[1,3,1,2,5,5]
[1,1,3,4,2,4]=>[3,5,3,4,1,1]
[1,1,3,4,4,2]=>[2,4,2,3,1,1]
[1,1,4,2,3,4]=>[1,5,3,1,2,5]
[1,1,4,2,4,3]=>[1,5,5,2,1,3]
[1,1,4,3,2,4]=>[3,1,5,3,4,1]
[1,1,4,3,4,2]=>[2,1,4,2,3,1]
[1,1,4,4,2,3]=>[3,1,1,4,3,5]
[1,1,4,4,3,2]=>[2,1,1,4,2,3]
[1,2,1,3,4,4]=>[1,4,1,2,3,3]
[1,2,1,4,3,4]=>[1,3,4,1,2,3]
[1,2,1,4,4,3]=>[1,3,3,2,1,4]
[1,2,3,1,4,4]=>[1,5,1,2,3,3]
[1,2,3,4,1,4]=>[1,6,3,1,2,3]
[1,2,3,4,4,1]=>[2,1,4,4,3,2]
[1,2,4,1,3,4]=>[1,3,5,1,2,3]
[1,2,4,1,4,3]=>[1,3,3,2,1,5]
[1,2,4,3,1,4]=>[1,3,6,1,2,3]
[1,2,4,3,4,1]=>[2,4,1,4,3,2]
[1,2,4,4,1,3]=>[1,3,3,2,1,6]
[1,2,4,4,3,1]=>[2,4,4,3,2,1]
[1,3,1,2,4,4]=>[1,4,1,2,5,5]
[1,3,1,4,2,4]=>[3,6,3,4,1,1]
[1,3,1,4,4,2]=>[2,5,2,3,1,1]
[1,3,2,1,4,4]=>[1,5,1,2,4,4]
[1,3,2,4,1,4]=>[1,6,4,1,2,4]
[1,3,2,4,4,1]=>[2,1,5,5,3,2]
[1,3,4,1,2,4]=>[4,1,2,4,5,2]
[1,3,4,1,4,2]=>[2,6,1,2,3,1]
[1,3,4,2,1,4]=>[4,2,1,4,5,1]
[1,3,4,2,4,1]=>[4,3,1,1,5,4]
[1,3,4,4,1,2]=>[3,1,2,2,3,4]
[1,3,4,4,2,1]=>[3,2,1,1,4,3]
[1,4,1,2,3,4]=>[1,5,4,1,2,5]
[1,4,1,2,4,3]=>[1,5,5,2,1,4]
[1,4,1,3,2,4]=>[3,1,6,3,4,1]
[1,4,1,3,4,2]=>[2,1,5,2,3,1]
[1,4,1,4,2,3]=>[3,1,1,4,3,6]
[1,4,1,4,3,2]=>[2,1,1,5,2,3]
[1,4,2,1,3,4]=>[1,4,5,1,2,4]
[1,4,2,1,4,3]=>[1,4,4,2,1,5]
[1,4,2,3,1,4]=>[1,4,6,1,2,4]
[1,4,2,3,4,1]=>[2,5,1,5,3,2]
[1,4,2,4,1,3]=>[1,4,4,2,1,6]
[1,4,2,4,3,1]=>[2,5,5,3,2,1]
[1,4,3,1,2,4]=>[4,2,1,4,5,2]
[1,4,3,1,4,2]=>[2,1,6,2,3,1]
[1,4,3,2,1,4]=>[4,1,2,4,5,1]
[1,4,3,2,4,1]=>[4,1,3,1,5,4]
[1,4,3,4,1,2]=>[3,2,1,2,3,4]
[1,4,3,4,2,1]=>[3,1,2,1,4,3]
[1,4,4,1,2,3]=>[4,2,2,5,4,1]
[1,4,4,1,3,2]=>[2,1,1,6,2,3]
[1,4,4,2,1,3]=>[4,1,1,5,4,2]
[1,4,4,2,3,1]=>[4,1,1,5,4,3]
[1,4,4,3,1,2]=>[3,2,2,1,3,4]
[1,4,4,3,2,1]=>[3,1,1,2,4,3]
[2,1,1,3,4,4]=>[1,4,1,3,2,2]
[2,1,1,4,3,4]=>[1,2,4,1,3,2]
[2,1,1,4,4,3]=>[1,2,2,3,1,4]
[2,1,3,1,4,4]=>[1,5,1,3,2,2]
[2,1,3,4,1,4]=>[1,6,2,1,3,2]
[2,1,3,4,4,1]=>[2,1,3,3,4,2]
[2,1,4,1,3,4]=>[1,2,5,1,3,2]
[2,1,4,1,4,3]=>[1,2,2,3,1,5]
[2,1,4,3,1,4]=>[1,2,6,1,3,2]
[2,1,4,3,4,1]=>[2,3,1,3,4,2]
[2,1,4,4,1,3]=>[1,2,2,3,1,6]
[2,1,4,4,3,1]=>[2,3,3,4,2,1]
[2,3,1,1,4,4]=>[1,5,1,4,2,2]
[2,3,1,4,1,4]=>[1,6,2,1,4,2]
[2,3,1,4,4,1]=>[2,1,3,3,5,2]
[2,3,4,1,1,4]=>[1,6,2,1,5,2]
[2,3,4,1,4,1]=>[2,1,3,3,6,2]
[2,3,4,4,1,1]=>[3,2,4,4,1,3]
[2,4,1,1,3,4]=>[1,2,5,1,4,2]
[2,4,1,1,4,3]=>[1,2,2,4,1,5]
[2,4,1,3,1,4]=>[1,2,6,1,4,2]
[2,4,1,3,4,1]=>[2,3,1,3,5,2]
[2,4,1,4,1,3]=>[1,2,2,4,1,6]
[2,4,1,4,3,1]=>[2,3,3,5,2,1]
[2,4,3,1,1,4]=>[1,2,6,1,5,2]
[2,4,3,1,4,1]=>[2,3,1,3,6,2]
[2,4,3,4,1,1]=>[3,4,2,4,1,3]
[2,4,4,1,1,3]=>[1,2,2,5,1,6]
[2,4,4,1,3,1]=>[2,3,3,6,2,1]
[2,4,4,3,1,1]=>[3,4,4,1,2,3]
[3,1,1,2,4,4]=>[1,4,1,3,5,5]
[3,1,1,4,2,4]=>[3,6,3,5,1,1]
[3,1,1,4,4,2]=>[2,5,2,4,1,1]
[3,1,2,1,4,4]=>[1,5,1,3,4,4]
[3,1,2,4,1,4]=>[1,6,4,1,3,4]
[3,1,2,4,4,1]=>[2,1,5,5,4,2]
[3,1,4,1,2,4]=>[4,1,2,4,6,2]
[3,1,4,1,4,2]=>[2,6,1,2,4,1]
[3,1,4,2,1,4]=>[4,2,1,4,6,1]
[3,1,4,2,4,1]=>[4,3,1,1,6,4]
[3,1,4,4,1,2]=>[3,1,2,2,3,5]
[3,1,4,4,2,1]=>[3,2,1,1,5,3]
[3,2,1,1,4,4]=>[1,5,1,4,3,3]
[3,2,1,4,1,4]=>[1,6,3,1,4,3]
[3,2,1,4,4,1]=>[2,1,4,4,5,2]
[3,2,4,1,1,4]=>[1,6,3,1,5,3]
[3,2,4,1,4,1]=>[2,1,4,4,6,2]
[3,2,4,4,1,1]=>[3,2,5,5,1,3]
[3,4,1,1,2,4]=>[5,2,3,5,1,3]
[3,4,1,1,4,2]=>[2,6,1,2,5,1]
[3,4,1,2,1,4]=>[5,3,2,5,1,2]
[3,4,1,2,4,1]=>[5,4,2,2,1,5]
[3,4,1,4,1,2]=>[3,1,2,2,3,6]
[3,4,1,4,2,1]=>[3,2,1,1,6,3]
[3,4,2,1,1,4]=>[5,3,1,5,2,1]
[3,4,2,1,4,1]=>[5,4,1,1,2,5]
[3,4,2,4,1,1]=>[5,4,1,1,3,5]
[3,4,4,1,1,2]=>[4,2,3,3,4,1]
[3,4,4,1,2,1]=>[4,3,2,2,1,4]
[3,4,4,2,1,1]=>[4,3,1,1,2,4]
[4,1,1,2,3,4]=>[1,5,4,1,3,5]
[4,1,1,2,4,3]=>[1,5,5,3,1,4]
[4,1,1,3,2,4]=>[3,1,6,3,5,1]
[4,1,1,3,4,2]=>[2,1,5,2,4,1]
[4,1,1,4,2,3]=>[3,1,1,5,3,6]
[4,1,1,4,3,2]=>[2,1,1,5,2,4]
[4,1,2,1,3,4]=>[1,4,5,1,3,4]
[4,1,2,1,4,3]=>[1,4,4,3,1,5]
[4,1,2,3,1,4]=>[1,4,6,1,3,4]
[4,1,2,3,4,1]=>[2,5,1,5,4,2]
[4,1,2,4,1,3]=>[1,4,4,3,1,6]
[4,1,2,4,3,1]=>[2,5,5,4,2,1]
[4,1,3,1,2,4]=>[4,2,1,4,6,2]
[4,1,3,1,4,2]=>[2,1,6,2,4,1]
[4,1,3,2,1,4]=>[4,1,2,4,6,1]
[4,1,3,2,4,1]=>[4,1,3,1,6,4]
[4,1,3,4,1,2]=>[3,2,1,2,3,5]
[4,1,3,4,2,1]=>[3,1,2,1,5,3]
[4,1,4,1,2,3]=>[4,2,2,6,4,1]
[4,1,4,1,3,2]=>[2,1,1,6,2,4]
[4,1,4,2,1,3]=>[4,1,1,6,4,2]
[4,1,4,2,3,1]=>[4,1,1,6,4,3]
[4,1,4,3,1,2]=>[3,2,2,1,3,5]
[4,1,4,3,2,1]=>[3,1,1,2,5,3]
[4,2,1,1,3,4]=>[1,3,5,1,4,3]
[4,2,1,1,4,3]=>[1,3,3,4,1,5]
[4,2,1,3,1,4]=>[1,3,6,1,4,3]
[4,2,1,3,4,1]=>[2,4,1,4,5,2]
[4,2,1,4,1,3]=>[1,3,3,4,1,6]
[4,2,1,4,3,1]=>[2,4,4,5,2,1]
[4,2,3,1,1,4]=>[1,3,6,1,5,3]
[4,2,3,1,4,1]=>[2,4,1,4,6,2]
[4,2,3,4,1,1]=>[3,5,2,5,1,3]
[4,2,4,1,1,3]=>[1,3,3,5,1,6]
[4,2,4,1,3,1]=>[2,4,4,6,2,1]
[4,2,4,3,1,1]=>[3,5,5,1,2,3]
[4,3,1,1,2,4]=>[5,3,2,5,1,3]
[4,3,1,1,4,2]=>[2,1,6,2,5,1]
[4,3,1,2,1,4]=>[5,2,3,5,1,2]
[4,3,1,2,4,1]=>[5,2,4,2,1,5]
[4,3,1,4,1,2]=>[3,2,1,2,3,6]
[4,3,1,4,2,1]=>[3,1,2,1,6,3]
[4,3,2,1,1,4]=>[5,1,3,5,2,1]
[4,3,2,1,4,1]=>[5,1,4,1,2,5]
[4,3,2,4,1,1]=>[5,1,4,1,3,5]
[4,3,4,1,1,2]=>[4,3,2,3,4,1]
[4,3,4,1,2,1]=>[4,2,3,2,1,4]
[4,3,4,2,1,1]=>[4,1,3,1,2,4]
[4,4,1,1,2,3]=>[5,3,3,1,5,2]
[4,4,1,1,3,2]=>[2,1,1,6,2,5]
[4,4,1,2,1,3]=>[5,2,2,1,5,3]
[4,4,1,2,3,1]=>[5,2,2,1,5,4]
[4,4,1,3,1,2]=>[3,2,2,1,3,6]
[4,4,1,3,2,1]=>[3,1,1,2,6,3]
[4,4,2,1,1,3]=>[5,1,1,2,5,3]
[4,4,2,1,3,1]=>[5,1,1,2,5,4]
[4,4,2,3,1,1]=>[5,1,1,3,4,5]
[4,4,3,1,1,2]=>[4,3,3,2,4,1]
[4,4,3,1,2,1]=>[4,2,2,3,1,4]
[4,4,3,2,1,1]=>[4,1,1,3,2,4]
[1,1,2,3,4,5]=>[1,4,2,1,3,5]
[1,1,2,3,5,4]=>[1,5,3,1,2,4]
[1,1,2,4,3,5]=>[1,4,2,1,3,6]
[1,1,2,4,5,3]=>[2,5,3,2,4,1]
[1,1,2,5,3,4]=>[1,6,3,1,2,4]
[1,1,2,5,4,3]=>[2,1,5,3,2,4]
[1,1,3,2,4,5]=>[1,5,2,1,3,4]
[1,1,3,2,5,4]=>[1,4,3,1,2,5]
[1,1,3,4,2,5]=>[1,6,2,1,3,4]
[1,1,3,4,5,2]=>[2,1,5,4,2,3]
[1,1,3,5,2,4]=>[1,4,3,1,2,6]
[1,1,3,5,4,2]=>[2,5,4,2,3,1]
[1,1,4,2,3,5]=>[1,5,2,1,3,6]
[1,1,4,2,5,3]=>[2,6,3,2,4,1]
[1,1,4,3,2,5]=>[1,6,2,1,3,5]
[1,1,4,3,5,2]=>[2,1,6,4,2,3]
[1,1,4,5,2,3]=>[3,1,2,4,3,5]
[1,1,4,5,3,2]=>[3,2,1,5,3,4]
[1,1,5,2,3,4]=>[1,6,3,1,2,5]
[1,1,5,2,4,3]=>[2,1,6,3,2,4]
[1,1,5,3,2,4]=>[1,5,3,1,2,6]
[1,1,5,3,4,2]=>[2,6,4,2,3,1]
[1,1,5,4,2,3]=>[3,2,1,4,3,5]
[1,1,5,4,3,2]=>[3,1,2,5,3,4]
[1,2,1,3,4,5]=>[1,3,2,1,4,5]
[1,2,1,3,5,4]=>[1,5,4,1,2,3]
[1,2,1,4,3,5]=>[1,3,2,1,4,6]
[1,2,1,4,5,3]=>[2,4,3,2,5,1]
[1,2,1,5,3,4]=>[1,6,4,1,2,3]
[1,2,1,5,4,3]=>[2,1,4,3,2,5]
[1,2,3,1,4,5]=>[1,3,2,1,5,4]
[1,2,3,1,5,4]=>[1,4,5,1,2,3]
[1,2,3,4,1,5]=>[1,3,2,1,6,4]
[1,2,3,4,5,1]=>[2,4,3,2,1,5]
[1,2,3,5,1,4]=>[1,4,6,1,2,3]
[1,2,3,5,4,1]=>[2,5,1,4,3,2]
[1,2,4,1,3,5]=>[1,3,2,1,5,6]
[1,2,4,1,5,3]=>[2,4,3,2,6,1]
[1,2,4,3,1,5]=>[1,3,2,1,6,5]
[1,2,4,3,5,1]=>[2,4,3,2,1,6]
[1,2,4,5,1,3]=>[3,5,4,3,1,2]
[1,2,4,5,3,1]=>[3,5,4,3,2,1]
[1,2,5,1,3,4]=>[1,6,5,1,2,3]
[1,2,5,1,4,3]=>[2,1,4,3,2,6]
[1,2,5,3,1,4]=>[1,5,6,1,2,3]
[1,2,5,3,4,1]=>[2,6,1,4,3,2]
[1,2,5,4,1,3]=>[3,2,5,4,3,1]
[1,2,5,4,3,1]=>[3,1,5,4,3,2]
[1,3,1,2,4,5]=>[1,5,2,1,4,3]
[1,3,1,2,5,4]=>[1,3,4,1,2,5]
[1,3,1,4,2,5]=>[1,6,2,1,4,3]
[1,3,1,4,5,2]=>[2,1,4,5,2,3]
[1,3,1,5,2,4]=>[1,3,4,1,2,6]
[1,3,1,5,4,2]=>[2,4,5,2,3,1]
[1,3,2,1,4,5]=>[1,4,2,1,5,3]
[1,3,2,1,5,4]=>[1,3,5,1,2,4]
[1,3,2,4,1,5]=>[1,4,2,1,6,3]
[1,3,2,4,5,1]=>[2,5,3,2,1,4]
[1,3,2,5,1,4]=>[1,3,6,1,2,4]
[1,3,2,5,4,1]=>[2,4,1,5,3,2]
[1,3,4,1,2,5]=>[1,6,2,1,5,3]
[1,3,4,1,5,2]=>[2,1,4,6,2,3]
[1,3,4,2,1,5]=>[1,5,2,1,6,3]
[1,3,4,2,5,1]=>[2,6,3,2,1,4]
[1,3,4,5,1,2]=>[3,2,5,1,3,4]
[1,3,4,5,2,1]=>[3,1,5,2,4,3]
[1,3,5,1,2,4]=>[1,3,5,1,2,6]
[1,3,5,1,4,2]=>[2,4,6,2,3,1]
[1,3,5,2,1,4]=>[1,3,6,1,2,5]
[1,3,5,2,4,1]=>[2,4,1,6,3,2]
[1,3,5,4,1,2]=>[3,5,1,2,3,4]
[1,3,5,4,2,1]=>[3,5,2,1,4,3]
[1,4,1,2,3,5]=>[1,5,2,1,4,6]
[1,4,1,2,5,3]=>[2,6,3,2,5,1]
[1,4,1,3,2,5]=>[1,6,2,1,4,5]
[1,4,1,3,5,2]=>[2,1,6,5,2,3]
[1,4,1,5,2,3]=>[3,1,2,4,3,6]
[1,4,1,5,3,2]=>[3,2,1,6,3,4]
[1,4,2,1,3,5]=>[1,4,2,1,5,6]
[1,4,2,1,5,3]=>[2,5,3,2,6,1]
[1,4,2,3,1,5]=>[1,4,2,1,6,5]
[1,4,2,3,5,1]=>[2,5,3,2,1,6]
[1,4,2,5,1,3]=>[3,6,4,3,1,2]
[1,4,2,5,3,1]=>[3,6,4,3,2,1]
[1,4,3,1,2,5]=>[1,6,2,1,5,4]
[1,4,3,1,5,2]=>[2,1,5,6,2,3]
[1,4,3,2,1,5]=>[1,5,2,1,6,4]
[1,4,3,2,5,1]=>[2,6,3,2,1,5]
[1,4,3,5,1,2]=>[3,2,6,1,3,4]
[1,4,3,5,2,1]=>[3,1,6,2,4,3]
[1,4,5,1,2,3]=>[4,2,3,5,4,1]
[1,4,5,1,3,2]=>[4,3,2,1,4,5]
[1,4,5,2,1,3]=>[4,1,3,5,4,2]
[1,4,5,2,3,1]=>[4,1,2,5,4,3]
[1,4,5,3,1,2]=>[4,3,1,2,4,5]
[1,4,5,3,2,1]=>[4,2,1,3,5,4]
[1,5,1,2,3,4]=>[1,6,4,1,2,5]
[1,5,1,2,4,3]=>[2,1,6,3,2,5]
[1,5,1,3,2,4]=>[1,5,4,1,2,6]
[1,5,1,3,4,2]=>[2,6,5,2,3,1]
[1,5,1,4,2,3]=>[3,2,1,4,3,6]
[1,5,1,4,3,2]=>[3,1,2,6,3,4]
[1,5,2,1,3,4]=>[1,6,5,1,2,4]
[1,5,2,1,4,3]=>[2,1,5,3,2,6]
[1,5,2,3,1,4]=>[1,5,6,1,2,4]
[1,5,2,3,4,1]=>[2,6,1,5,3,2]
[1,5,2,4,1,3]=>[3,2,6,4,3,1]
[1,5,2,4,3,1]=>[3,1,6,4,3,2]
[1,5,3,1,2,4]=>[1,4,5,1,2,6]
[1,5,3,1,4,2]=>[2,5,6,2,3,1]
[1,5,3,2,1,4]=>[1,4,6,1,2,5]
[1,5,3,2,4,1]=>[2,5,1,6,3,2]
[1,5,3,4,1,2]=>[3,6,1,2,3,4]
[1,5,3,4,2,1]=>[3,6,2,1,4,3]
[1,5,4,1,2,3]=>[4,3,2,5,4,1]
[1,5,4,1,3,2]=>[4,2,3,1,4,5]
[1,5,4,2,1,3]=>[4,3,1,5,4,2]
[1,5,4,2,3,1]=>[4,2,1,5,4,3]
[1,5,4,3,1,2]=>[4,1,3,2,4,5]
[1,5,4,3,2,1]=>[4,1,2,3,5,4]
[2,1,1,3,4,5]=>[1,2,3,1,4,5]
[2,1,1,3,5,4]=>[1,5,4,1,3,2]
[2,1,1,4,3,5]=>[1,2,3,1,4,6]
[2,1,1,4,5,3]=>[2,3,4,2,5,1]
[2,1,1,5,3,4]=>[1,6,4,1,3,2]
[2,1,1,5,4,3]=>[2,1,3,4,2,5]
[2,1,3,1,4,5]=>[1,2,3,1,5,4]
[2,1,3,1,5,4]=>[1,4,5,1,3,2]
[2,1,3,4,1,5]=>[1,2,3,1,6,4]
[2,1,3,4,5,1]=>[2,3,4,2,1,5]
[2,1,3,5,1,4]=>[1,4,6,1,3,2]
[2,1,3,5,4,1]=>[2,5,1,3,4,2]
[2,1,4,1,3,5]=>[1,2,3,1,5,6]
[2,1,4,1,5,3]=>[2,3,4,2,6,1]
[2,1,4,3,1,5]=>[1,2,3,1,6,5]
[2,1,4,3,5,1]=>[2,3,4,2,1,6]
[2,1,4,5,1,3]=>[3,4,5,3,1,2]
[2,1,4,5,3,1]=>[3,4,5,3,2,1]
[2,1,5,1,3,4]=>[1,6,5,1,3,2]
[2,1,5,1,4,3]=>[2,1,3,4,2,6]
[2,1,5,3,1,4]=>[1,5,6,1,3,2]
[2,1,5,3,4,1]=>[2,6,1,3,4,2]
[2,1,5,4,1,3]=>[3,2,4,5,3,1]
[2,1,5,4,3,1]=>[3,1,4,5,3,2]
[2,3,1,1,4,5]=>[1,2,4,1,5,3]
[2,3,1,1,5,4]=>[1,3,5,1,4,2]
[2,3,1,4,1,5]=>[1,2,4,1,6,3]
[2,3,1,4,5,1]=>[2,3,5,2,1,4]
[2,3,1,5,1,4]=>[1,3,6,1,4,2]
[2,3,1,5,4,1]=>[2,4,1,3,5,2]
[2,3,4,1,1,5]=>[1,2,5,1,6,3]
[2,3,4,1,5,1]=>[2,3,6,2,1,4]
[2,3,4,5,1,1]=>[3,4,1,5,2,3]
[2,3,5,1,1,4]=>[1,3,6,1,5,2]
[2,3,5,1,4,1]=>[2,4,1,3,6,2]
[2,3,5,4,1,1]=>[3,5,2,4,1,3]
[2,4,1,1,3,5]=>[1,2,4,1,5,6]
[2,4,1,1,5,3]=>[2,3,5,2,6,1]
[2,4,1,3,1,5]=>[1,2,4,1,6,5]
[2,4,1,3,5,1]=>[2,3,5,2,1,6]
[2,4,1,5,1,3]=>[3,4,6,3,1,2]
[2,4,1,5,3,1]=>[3,4,6,3,2,1]
[2,4,3,1,1,5]=>[1,2,5,1,6,4]
[2,4,3,1,5,1]=>[2,3,6,2,1,5]
[2,4,3,5,1,1]=>[3,4,1,6,2,3]
[2,4,5,1,1,3]=>[4,5,1,3,4,2]
[2,4,5,1,3,1]=>[4,5,1,2,4,3]
[2,4,5,3,1,1]=>[4,5,2,1,3,4]
[2,5,1,1,3,4]=>[1,6,5,1,4,2]
[2,5,1,1,4,3]=>[2,1,3,5,2,6]
[2,5,1,3,1,4]=>[1,5,6,1,4,2]
[2,5,1,3,4,1]=>[2,6,1,3,5,2]
[2,5,1,4,1,3]=>[3,2,4,6,3,1]
[2,5,1,4,3,1]=>[3,1,4,6,3,2]
[2,5,3,1,1,4]=>[1,4,6,1,5,2]
[2,5,3,1,4,1]=>[2,5,1,3,6,2]
[2,5,3,4,1,1]=>[3,6,2,4,1,3]
[2,5,4,1,1,3]=>[4,3,5,1,4,2]
[2,5,4,1,3,1]=>[4,2,5,1,4,3]
[2,5,4,3,1,1]=>[4,1,5,2,3,4]
[3,1,1,2,4,5]=>[1,5,3,1,4,2]
[3,1,1,2,5,4]=>[1,2,4,1,3,5]
[3,1,1,4,2,5]=>[1,6,3,1,4,2]
[3,1,1,4,5,2]=>[2,1,3,5,2,4]
[3,1,1,5,2,4]=>[1,2,4,1,3,6]
[3,1,1,5,4,2]=>[2,3,5,2,4,1]
[3,1,2,1,4,5]=>[1,4,3,1,5,2]
[3,1,2,1,5,4]=>[1,2,5,1,3,4]
[3,1,2,4,1,5]=>[1,4,3,1,6,2]
[3,1,2,4,5,1]=>[2,5,4,2,1,3]
[3,1,2,5,1,4]=>[1,2,6,1,3,4]
[3,1,2,5,4,1]=>[2,3,1,5,4,2]
[3,1,4,1,2,5]=>[1,6,3,1,5,2]
[3,1,4,1,5,2]=>[2,1,3,6,2,4]
[3,1,4,2,1,5]=>[1,5,3,1,6,2]
[3,1,4,2,5,1]=>[2,6,4,2,1,3]
[3,1,4,5,1,2]=>[3,2,4,1,3,5]
[3,1,4,5,2,1]=>[3,1,4,2,5,3]
[3,1,5,1,2,4]=>[1,2,5,1,3,6]
[3,1,5,1,4,2]=>[2,3,6,2,4,1]
[3,1,5,2,1,4]=>[1,2,6,1,3,5]
[3,1,5,2,4,1]=>[2,3,1,6,4,2]
[3,1,5,4,1,2]=>[3,4,1,2,3,5]
[3,1,5,4,2,1]=>[3,4,2,1,5,3]
[3,2,1,1,4,5]=>[1,3,4,1,5,2]
[3,2,1,1,5,4]=>[1,2,5,1,4,3]
[3,2,1,4,1,5]=>[1,3,4,1,6,2]
[3,2,1,4,5,1]=>[2,4,5,2,1,3]
[3,2,1,5,1,4]=>[1,2,6,1,4,3]
[3,2,1,5,4,1]=>[2,3,1,4,5,2]
[3,2,4,1,1,5]=>[1,3,5,1,6,2]
[3,2,4,1,5,1]=>[2,4,6,2,1,3]
[3,2,4,5,1,1]=>[3,5,1,4,2,3]
[3,2,5,1,1,4]=>[1,2,6,1,5,3]
[3,2,5,1,4,1]=>[2,3,1,4,6,2]
[3,2,5,4,1,1]=>[3,4,2,5,1,3]
[3,4,1,1,2,5]=>[1,6,4,1,5,2]
[3,4,1,1,5,2]=>[2,1,3,6,2,5]
[3,4,1,2,1,5]=>[1,5,4,1,6,2]
[3,4,1,2,5,1]=>[2,6,5,2,1,3]
[3,4,1,5,1,2]=>[3,2,4,1,3,6]
[3,4,1,5,2,1]=>[3,1,4,2,6,3]
[3,4,2,1,1,5]=>[1,4,5,1,6,2]
[3,4,2,1,5,1]=>[2,5,6,2,1,3]
[3,4,2,5,1,1]=>[3,6,1,4,2,3]
[3,4,5,1,1,2]=>[4,3,5,2,4,1]
[3,4,5,1,2,1]=>[4,2,5,3,1,4]
[3,4,5,2,1,1]=>[4,1,5,3,2,4]
[3,5,1,1,2,4]=>[1,2,5,1,4,6]
[3,5,1,1,4,2]=>[2,3,6,2,5,1]
[3,5,1,2,1,4]=>[1,2,6,1,4,5]
[3,5,1,2,4,1]=>[2,3,1,6,5,2]
[3,5,1,4,1,2]=>[3,4,1,2,3,6]
[3,5,1,4,2,1]=>[3,4,2,1,6,3]
[3,5,2,1,1,4]=>[1,2,6,1,5,4]
[3,5,2,1,4,1]=>[2,3,1,5,6,2]
[3,5,2,4,1,1]=>[3,4,2,6,1,3]
[3,5,4,1,1,2]=>[4,5,2,3,4,1]
[3,5,4,1,2,1]=>[4,5,3,2,1,4]
[3,5,4,2,1,1]=>[4,5,3,1,2,4]
[4,1,1,2,3,5]=>[1,5,3,1,4,6]
[4,1,1,2,5,3]=>[2,6,4,2,5,1]
[4,1,1,3,2,5]=>[1,6,3,1,4,5]
[4,1,1,3,5,2]=>[2,1,6,5,2,4]
[4,1,1,5,2,3]=>[3,1,2,5,3,6]
[4,1,1,5,3,2]=>[3,2,1,6,3,5]
[4,1,2,1,3,5]=>[1,4,3,1,5,6]
[4,1,2,1,5,3]=>[2,5,4,2,6,1]
[4,1,2,3,1,5]=>[1,4,3,1,6,5]
[4,1,2,3,5,1]=>[2,5,4,2,1,6]
[4,1,2,5,1,3]=>[3,6,5,3,1,2]
[4,1,2,5,3,1]=>[3,6,5,3,2,1]
[4,1,3,1,2,5]=>[1,6,3,1,5,4]
[4,1,3,1,5,2]=>[2,1,5,6,2,4]
[4,1,3,2,1,5]=>[1,5,3,1,6,4]
[4,1,3,2,5,1]=>[2,6,4,2,1,5]
[4,1,3,5,1,2]=>[3,2,6,1,3,5]
[4,1,3,5,2,1]=>[3,1,6,2,5,3]
[4,1,5,1,2,3]=>[4,2,3,6,4,1]
[4,1,5,1,3,2]=>[4,3,2,1,4,6]
[4,1,5,2,1,3]=>[4,1,3,6,4,2]
[4,1,5,2,3,1]=>[4,1,2,6,4,3]
[4,1,5,3,1,2]=>[4,3,1,2,4,6]
[4,1,5,3,2,1]=>[4,2,1,3,6,4]
[4,2,1,1,3,5]=>[1,3,4,1,5,6]
[4,2,1,1,5,3]=>[2,4,5,2,6,1]
[4,2,1,3,1,5]=>[1,3,4,1,6,5]
[4,2,1,3,5,1]=>[2,4,5,2,1,6]
[4,2,1,5,1,3]=>[3,5,6,3,1,2]
[4,2,1,5,3,1]=>[3,5,6,3,2,1]
[4,2,3,1,1,5]=>[1,3,5,1,6,4]
[4,2,3,1,5,1]=>[2,4,6,2,1,5]
[4,2,3,5,1,1]=>[3,5,1,6,2,3]
[4,2,5,1,1,3]=>[4,6,1,3,4,2]
[4,2,5,1,3,1]=>[4,6,1,2,4,3]
[4,2,5,3,1,1]=>[4,6,2,1,3,4]
[4,3,1,1,2,5]=>[1,6,4,1,5,3]
[4,3,1,1,5,2]=>[2,1,4,6,2,5]
[4,3,1,2,1,5]=>[1,5,4,1,6,3]
[4,3,1,2,5,1]=>[2,6,5,2,1,4]
[4,3,1,5,1,2]=>[3,2,5,1,3,6]
[4,3,1,5,2,1]=>[3,1,5,2,6,3]
[4,3,2,1,1,5]=>[1,4,5,1,6,3]
[4,3,2,1,5,1]=>[2,5,6,2,1,4]
[4,3,2,5,1,1]=>[3,6,1,5,2,3]
[4,3,5,1,1,2]=>[4,3,6,2,4,1]
[4,3,5,1,2,1]=>[4,2,6,3,1,4]
[4,3,5,2,1,1]=>[4,1,6,3,2,4]
[4,5,1,1,2,3]=>[5,3,4,1,5,2]
[4,5,1,1,3,2]=>[5,4,3,2,5,1]
[4,5,1,2,1,3]=>[5,2,4,1,5,3]
[4,5,1,2,3,1]=>[5,2,3,1,5,4]
[4,5,1,3,1,2]=>[5,4,2,3,5,1]
[4,5,1,3,2,1]=>[5,3,2,4,1,5]
[4,5,2,1,1,3]=>[5,1,4,2,5,3]
[4,5,2,1,3,1]=>[5,1,3,2,5,4]
[4,5,2,3,1,1]=>[5,1,2,3,4,5]
[4,5,3,1,1,2]=>[5,4,1,3,5,2]
[4,5,3,1,2,1]=>[5,3,1,4,2,5]
[4,5,3,2,1,1]=>[5,2,1,4,3,5]
[5,1,1,2,3,4]=>[1,6,4,1,3,5]
[5,1,1,2,4,3]=>[2,1,6,4,2,5]
[5,1,1,3,2,4]=>[1,5,4,1,3,6]
[5,1,1,3,4,2]=>[2,6,5,2,4,1]
[5,1,1,4,2,3]=>[3,2,1,5,3,6]
[5,1,1,4,3,2]=>[3,1,2,6,3,5]
[5,1,2,1,3,4]=>[1,6,5,1,3,4]
[5,1,2,1,4,3]=>[2,1,5,4,2,6]
[5,1,2,3,1,4]=>[1,5,6,1,3,4]
[5,1,2,3,4,1]=>[2,6,1,5,4,2]
[5,1,2,4,1,3]=>[3,2,6,5,3,1]
[5,1,2,4,3,1]=>[3,1,6,5,3,2]
[5,1,3,1,2,4]=>[1,4,5,1,3,6]
[5,1,3,1,4,2]=>[2,5,6,2,4,1]
[5,1,3,2,1,4]=>[1,4,6,1,3,5]
[5,1,3,2,4,1]=>[2,5,1,6,4,2]
[5,1,3,4,1,2]=>[3,6,1,2,3,5]
[5,1,3,4,2,1]=>[3,6,2,1,5,3]
[5,1,4,1,2,3]=>[4,3,2,6,4,1]
[5,1,4,1,3,2]=>[4,2,3,1,4,6]
[5,1,4,2,1,3]=>[4,3,1,6,4,2]
[5,1,4,2,3,1]=>[4,2,1,6,4,3]
[5,1,4,3,1,2]=>[4,1,3,2,4,6]
[5,1,4,3,2,1]=>[4,1,2,3,6,4]
[5,2,1,1,3,4]=>[1,6,5,1,4,3]
[5,2,1,1,4,3]=>[2,1,4,5,2,6]
[5,2,1,3,1,4]=>[1,5,6,1,4,3]
[5,2,1,3,4,1]=>[2,6,1,4,5,2]
[5,2,1,4,1,3]=>[3,2,5,6,3,1]
[5,2,1,4,3,1]=>[3,1,5,6,3,2]
[5,2,3,1,1,4]=>[1,4,6,1,5,3]
[5,2,3,1,4,1]=>[2,5,1,4,6,2]
[5,2,3,4,1,1]=>[3,6,2,5,1,3]
[5,2,4,1,1,3]=>[4,3,6,1,4,2]
[5,2,4,1,3,1]=>[4,2,6,1,4,3]
[5,2,4,3,1,1]=>[4,1,6,2,3,4]
[5,3,1,1,2,4]=>[1,3,5,1,4,6]
[5,3,1,1,4,2]=>[2,4,6,2,5,1]
[5,3,1,2,1,4]=>[1,3,6,1,4,5]
[5,3,1,2,4,1]=>[2,4,1,6,5,2]
[5,3,1,4,1,2]=>[3,5,1,2,3,6]
[5,3,1,4,2,1]=>[3,5,2,1,6,3]
[5,3,2,1,1,4]=>[1,3,6,1,5,4]
[5,3,2,1,4,1]=>[2,4,1,5,6,2]
[5,3,2,4,1,1]=>[3,5,2,6,1,3]
[5,3,4,1,1,2]=>[4,6,2,3,4,1]
[5,3,4,1,2,1]=>[4,6,3,2,1,4]
[5,3,4,2,1,1]=>[4,6,3,1,2,4]
[5,4,1,1,2,3]=>[5,4,3,1,5,2]
[5,4,1,1,3,2]=>[5,3,4,2,5,1]
[5,4,1,2,1,3]=>[5,4,2,1,5,3]
[5,4,1,2,3,1]=>[5,3,2,1,5,4]
[5,4,1,3,1,2]=>[5,2,4,3,5,1]
[5,4,1,3,2,1]=>[5,2,3,4,1,5]
[5,4,2,1,1,3]=>[5,4,1,2,5,3]
[5,4,2,1,3,1]=>[5,3,1,2,5,4]
[5,4,2,3,1,1]=>[5,2,1,3,4,5]
[5,4,3,1,1,2]=>[5,1,4,3,5,2]
[5,4,3,1,2,1]=>[5,1,3,4,2,5]
[5,4,3,2,1,1]=>[5,1,2,4,3,5]
[1,1,2,3,4,6]=>[1,3,1,2,4,6]
[1,1,2,3,6,4]=>[2,4,2,3,5,1]
[1,1,2,4,3,6]=>[1,3,1,2,4,5]
[1,1,2,4,6,3]=>[1,5,4,2,1,3]
[1,1,2,6,3,4]=>[2,1,4,2,3,5]
[1,1,2,6,4,3]=>[1,6,4,2,1,3]
[1,1,3,2,4,6]=>[1,3,1,2,5,6]
[1,1,3,2,6,4]=>[2,4,2,3,6,1]
[1,1,3,4,2,6]=>[1,3,1,2,6,5]
[1,1,3,4,6,2]=>[2,4,2,3,1,6]
[1,1,3,6,2,4]=>[3,5,3,4,1,2]
[1,1,3,6,4,2]=>[3,5,3,4,2,1]
[1,1,4,2,3,6]=>[1,3,1,2,5,4]
[1,1,4,2,6,3]=>[1,4,5,2,1,3]
[1,1,4,3,2,6]=>[1,3,1,2,6,4]
[1,1,4,3,6,2]=>[2,4,2,3,1,5]
[1,1,4,6,2,3]=>[1,4,6,2,1,3]
[1,1,4,6,3,2]=>[2,5,1,4,2,3]
[1,1,6,2,3,4]=>[2,1,4,2,3,6]
[1,1,6,2,4,3]=>[1,6,5,2,1,3]
[1,1,6,3,2,4]=>[3,2,5,3,4,1]
[1,1,6,3,4,2]=>[3,1,5,3,4,2]
[1,1,6,4,2,3]=>[1,5,6,2,1,3]
[1,1,6,4,3,2]=>[2,6,1,4,2,3]
[1,2,1,3,4,6]=>[1,4,1,2,3,6]
[1,2,1,3,6,4]=>[2,5,2,3,4,1]
[1,2,1,4,3,6]=>[1,4,1,2,3,5]
[1,2,1,4,6,3]=>[1,5,3,2,1,4]
[1,2,1,6,3,4]=>[2,1,5,2,3,4]
[1,2,1,6,4,3]=>[1,6,3,2,1,4]
[1,2,3,1,4,6]=>[1,5,1,2,3,6]
[1,2,3,1,6,4]=>[2,6,2,3,4,1]
[1,2,3,4,1,6]=>[1,6,1,2,3,5]
[1,2,3,4,6,1]=>[2,1,6,4,3,2]
[1,2,3,6,1,4]=>[3,1,2,3,4,5]
[1,2,3,6,4,1]=>[3,2,1,5,4,3]
[1,2,4,1,3,6]=>[1,5,1,2,3,4]
[1,2,4,1,6,3]=>[1,4,3,2,1,5]
[1,2,4,3,1,6]=>[1,6,1,2,3,4]
[1,2,4,3,6,1]=>[2,1,5,4,3,2]
[1,2,4,6,1,3]=>[1,4,3,2,1,6]
[1,2,4,6,3,1]=>[2,5,4,3,2,1]
[1,2,6,1,3,4]=>[2,1,6,2,3,4]
[1,2,6,1,4,3]=>[1,6,3,2,1,5]
[1,2,6,3,1,4]=>[3,2,1,3,4,5]
[1,2,6,3,4,1]=>[3,1,2,5,4,3]
[1,2,6,4,1,3]=>[1,5,3,2,1,6]
[1,2,6,4,3,1]=>[2,6,4,3,2,1]
[1,3,1,2,4,6]=>[1,4,1,2,5,6]
[1,3,1,2,6,4]=>[2,5,2,3,6,1]
[1,3,1,4,2,6]=>[1,4,1,2,6,5]
[1,3,1,4,6,2]=>[2,5,2,3,1,6]
[1,3,1,6,2,4]=>[3,6,3,4,1,2]
[1,3,1,6,4,2]=>[3,6,3,4,2,1]
[1,3,2,1,4,6]=>[1,5,1,2,4,6]
[1,3,2,1,6,4]=>[2,6,2,3,5,1]
[1,3,2,4,1,6]=>[1,6,1,2,4,5]
[1,3,2,4,6,1]=>[2,1,6,5,3,2]
[1,3,2,6,1,4]=>[3,1,2,3,4,6]
[1,3,2,6,4,1]=>[3,2,1,6,4,3]
[1,3,4,1,2,6]=>[1,5,1,2,6,4]
[1,3,4,1,6,2]=>[2,6,2,3,1,5]
[1,3,4,2,1,6]=>[1,6,1,2,5,4]
[1,3,4,2,6,1]=>[2,1,5,6,3,2]
[1,3,4,6,1,2]=>[3,1,6,2,3,4]
[1,3,4,6,2,1]=>[3,2,6,1,4,3]
[1,3,6,1,2,4]=>[4,1,3,4,5,2]
[1,3,6,1,4,2]=>[4,1,2,4,5,3]
[1,3,6,2,1,4]=>[4,2,3,4,5,1]
[1,3,6,2,4,1]=>[4,3,2,1,5,4]
[1,3,6,4,1,2]=>[4,2,1,3,4,5]
[1,3,6,4,2,1]=>[4,3,1,2,5,4]
[1,4,1,2,3,6]=>[1,4,1,2,5,3]
[1,4,1,2,6,3]=>[1,3,5,2,1,4]
[1,4,1,3,2,6]=>[1,4,1,2,6,3]
[1,4,1,3,6,2]=>[2,5,2,3,1,4]
[1,4,1,6,2,3]=>[1,3,6,2,1,4]
[1,4,1,6,3,2]=>[2,4,1,5,2,3]
[1,4,2,1,3,6]=>[1,5,1,2,4,3]
[1,4,2,1,6,3]=>[1,3,4,2,1,5]
[1,4,2,3,1,6]=>[1,6,1,2,4,3]
[1,4,2,3,6,1]=>[2,1,4,5,3,2]
[1,4,2,6,1,3]=>[1,3,4,2,1,6]
[1,4,2,6,3,1]=>[2,4,5,3,2,1]
[1,4,3,1,2,6]=>[1,5,1,2,6,3]
[1,4,3,1,6,2]=>[2,6,2,3,1,4]
[1,4,3,2,1,6]=>[1,6,1,2,5,3]
[1,4,3,2,6,1]=>[2,1,4,6,3,2]
[1,4,3,6,1,2]=>[3,1,5,2,3,4]
[1,4,3,6,2,1]=>[3,2,5,1,4,3]
[1,4,6,1,2,3]=>[1,3,6,2,1,5]
[1,4,6,1,3,2]=>[2,4,1,6,2,3]
[1,4,6,2,1,3]=>[1,3,5,2,1,6]
[1,4,6,2,3,1]=>[2,4,6,3,2,1]
[1,4,6,3,1,2]=>[3,5,2,1,3,4]
[1,4,6,3,2,1]=>[3,5,1,2,4,3]
[1,6,1,2,3,4]=>[2,1,5,2,3,6]
[1,6,1,2,4,3]=>[1,6,5,2,1,4]
[1,6,1,3,2,4]=>[3,2,6,3,4,1]
[1,6,1,3,4,2]=>[3,1,6,3,4,2]
[1,6,1,4,2,3]=>[1,5,6,2,1,4]
[1,6,1,4,3,2]=>[2,6,1,5,2,3]
[1,6,2,1,3,4]=>[2,1,6,2,3,5]
[1,6,2,1,4,3]=>[1,6,4,2,1,5]
[1,6,2,3,1,4]=>[3,2,1,3,4,6]
[1,6,2,3,4,1]=>[3,1,2,6,4,3]
[1,6,2,4,1,3]=>[1,5,4,2,1,6]
[1,6,2,4,3,1]=>[2,6,5,3,2,1]
[1,6,3,1,2,4]=>[4,3,1,4,5,2]
[1,6,3,1,4,2]=>[4,2,1,4,5,3]
[1,6,3,2,1,4]=>[4,3,2,4,5,1]
[1,6,3,2,4,1]=>[4,2,3,1,5,4]
[1,6,3,4,1,2]=>[4,1,2,3,4,5]
[1,6,3,4,2,1]=>[4,1,3,2,5,4]
[1,6,4,1,2,3]=>[1,4,6,2,1,5]
[1,6,4,1,3,2]=>[2,5,1,6,2,3]
[1,6,4,2,1,3]=>[1,4,5,2,1,6]
[1,6,4,2,3,1]=>[2,5,6,3,2,1]
[1,6,4,3,1,2]=>[3,6,2,1,3,4]
[1,6,4,3,2,1]=>[3,6,1,2,4,3]
[2,1,1,3,4,6]=>[1,4,1,3,2,6]
[2,1,1,3,6,4]=>[2,5,2,4,3,1]
[2,1,1,4,3,6]=>[1,4,1,3,2,5]
[2,1,1,4,6,3]=>[1,5,2,3,1,4]
[2,1,1,6,3,4]=>[2,1,5,2,4,3]
[2,1,1,6,4,3]=>[1,6,2,3,1,4]
[2,1,3,1,4,6]=>[1,5,1,3,2,6]
[2,1,3,1,6,4]=>[2,6,2,4,3,1]
[2,1,3,4,1,6]=>[1,6,1,3,2,5]
[2,1,3,4,6,1]=>[2,1,6,3,4,2]
[2,1,3,6,1,4]=>[3,1,2,3,5,4]
[2,1,3,6,4,1]=>[3,2,1,4,5,3]
[2,1,4,1,3,6]=>[1,5,1,3,2,4]
[2,1,4,1,6,3]=>[1,4,2,3,1,5]
[2,1,4,3,1,6]=>[1,6,1,3,2,4]
[2,1,4,3,6,1]=>[2,1,5,3,4,2]
[2,1,4,6,1,3]=>[1,4,2,3,1,6]
[2,1,4,6,3,1]=>[2,5,3,4,2,1]
[2,1,6,1,3,4]=>[2,1,6,2,4,3]
[2,1,6,1,4,3]=>[1,6,2,3,1,5]
[2,1,6,3,1,4]=>[3,2,1,3,5,4]
[2,1,6,3,4,1]=>[3,1,2,4,5,3]
[2,1,6,4,1,3]=>[1,5,2,3,1,6]
[2,1,6,4,3,1]=>[2,6,3,4,2,1]
[2,3,1,1,4,6]=>[1,5,1,4,2,6]
[2,3,1,1,6,4]=>[2,6,2,5,3,1]
[2,3,1,4,1,6]=>[1,6,1,4,2,5]
[2,3,1,4,6,1]=>[2,1,6,3,5,2]
[2,3,1,6,1,4]=>[3,1,2,3,6,4]
[2,3,1,6,4,1]=>[3,2,1,4,6,3]
[2,3,4,1,1,6]=>[1,6,1,5,2,4]
[2,3,4,1,6,1]=>[2,1,5,3,6,2]
[2,3,4,6,1,1]=>[3,2,6,4,1,3]
[2,3,6,1,1,4]=>[4,2,3,4,1,5]
[2,3,6,1,4,1]=>[4,3,2,5,1,4]
[2,3,6,4,1,1]=>[4,3,1,5,2,4]
[2,4,1,1,3,6]=>[1,5,1,4,2,3]
[2,4,1,1,6,3]=>[1,3,2,4,1,5]
[2,4,1,3,1,6]=>[1,6,1,4,2,3]
[2,4,1,3,6,1]=>[2,1,4,3,5,2]
[2,4,1,6,1,3]=>[1,3,2,4,1,6]
[2,4,1,6,3,1]=>[2,4,3,5,2,1]
[2,4,3,1,1,6]=>[1,6,1,5,2,3]
[2,4,3,1,6,1]=>[2,1,4,3,6,2]
[2,4,3,6,1,1]=>[3,2,5,4,1,3]
[2,4,6,1,1,3]=>[1,3,2,5,1,6]
[2,4,6,1,3,1]=>[2,4,3,6,2,1]
[2,4,6,3,1,1]=>[3,5,4,1,2,3]
[2,6,1,1,3,4]=>[2,1,6,2,5,3]
[2,6,1,1,4,3]=>[1,6,2,4,1,5]
[2,6,1,3,1,4]=>[3,2,1,3,6,4]
[2,6,1,3,4,1]=>[3,1,2,4,6,3]
[2,6,1,4,1,3]=>[1,5,2,4,1,6]
[2,6,1,4,3,1]=>[2,6,3,5,2,1]
[2,6,3,1,1,4]=>[4,3,2,4,1,5]
[2,6,3,1,4,1]=>[4,2,3,5,1,4]
[2,6,3,4,1,1]=>[4,1,3,5,2,4]
[2,6,4,1,1,3]=>[1,4,2,5,1,6]
[2,6,4,1,3,1]=>[2,5,3,6,2,1]
[2,6,4,3,1,1]=>[3,6,4,1,2,3]
[3,1,1,2,4,6]=>[1,4,1,3,5,6]
[3,1,1,2,6,4]=>[2,5,2,4,6,1]
[3,1,1,4,2,6]=>[1,4,1,3,6,5]
[3,1,1,4,6,2]=>[2,5,2,4,1,6]
[3,1,1,6,2,4]=>[3,6,3,5,1,2]
[3,1,1,6,4,2]=>[3,6,3,5,2,1]
[3,1,2,1,4,6]=>[1,5,1,3,4,6]
[3,1,2,1,6,4]=>[2,6,2,4,5,1]
[3,1,2,4,1,6]=>[1,6,1,3,4,5]
[3,1,2,4,6,1]=>[2,1,6,5,4,2]
[3,1,2,6,1,4]=>[3,1,2,3,5,6]
[3,1,2,6,4,1]=>[3,2,1,6,5,3]
[3,1,4,1,2,6]=>[1,5,1,3,6,4]
[3,1,4,1,6,2]=>[2,6,2,4,1,5]
[3,1,4,2,1,6]=>[1,6,1,3,5,4]
[3,1,4,2,6,1]=>[2,1,5,6,4,2]
[3,1,4,6,1,2]=>[3,1,6,2,3,5]
[3,1,4,6,2,1]=>[3,2,6,1,5,3]
[3,1,6,1,2,4]=>[4,1,3,4,6,2]
[3,1,6,1,4,2]=>[4,1,2,4,6,3]
[3,1,6,2,1,4]=>[4,2,3,4,6,1]
[3,1,6,2,4,1]=>[4,3,2,1,6,4]
[3,1,6,4,1,2]=>[4,2,1,3,4,6]
[3,1,6,4,2,1]=>[4,3,1,2,6,4]
[3,2,1,1,4,6]=>[1,5,1,4,3,6]
[3,2,1,1,6,4]=>[2,6,2,5,4,1]
[3,2,1,4,1,6]=>[1,6,1,4,3,5]
[3,2,1,4,6,1]=>[2,1,6,4,5,2]
[3,2,1,6,1,4]=>[3,1,2,3,6,5]
[3,2,1,6,4,1]=>[3,2,1,5,6,3]
[3,2,4,1,1,6]=>[1,6,1,5,3,4]
[3,2,4,1,6,1]=>[2,1,5,4,6,2]
[3,2,4,6,1,1]=>[3,2,6,5,1,3]
[3,2,6,1,1,4]=>[4,2,3,4,1,6]
[3,2,6,1,4,1]=>[4,3,2,6,1,4]
[3,2,6,4,1,1]=>[4,3,1,6,2,4]
[3,4,1,1,2,6]=>[1,5,1,4,6,3]
[3,4,1,1,6,2]=>[2,6,2,5,1,4]
[3,4,1,2,1,6]=>[1,6,1,4,5,3]
[3,4,1,2,6,1]=>[2,1,4,6,5,2]
[3,4,1,6,1,2]=>[3,1,5,2,3,6]
[3,4,1,6,2,1]=>[3,2,5,1,6,3]
[3,4,2,1,1,6]=>[1,6,1,5,4,3]
[3,4,2,1,6,1]=>[2,1,4,5,6,2]
[3,4,2,6,1,1]=>[3,2,5,6,1,3]
[3,4,6,1,1,2]=>[4,2,6,3,4,1]
[3,4,6,1,2,1]=>[4,3,6,2,1,4]
[3,4,6,2,1,1]=>[4,3,6,1,2,4]
[3,6,1,1,2,4]=>[5,2,4,5,1,3]
[3,6,1,1,4,2]=>[5,2,3,5,1,4]
[3,6,1,2,1,4]=>[5,3,4,5,1,2]
[3,6,1,2,4,1]=>[5,4,3,2,1,5]
[3,6,1,4,1,2]=>[5,3,2,4,5,1]
[3,6,1,4,2,1]=>[5,4,2,3,1,5]
[3,6,2,1,1,4]=>[5,3,4,5,2,1]
[3,6,2,1,4,1]=>[5,4,3,1,2,5]
[3,6,2,4,1,1]=>[5,4,2,1,3,5]
[3,6,4,1,1,2]=>[5,3,1,4,5,2]
[3,6,4,1,2,1]=>[5,4,1,3,2,5]
[3,6,4,2,1,1]=>[5,4,1,2,3,5]
[4,1,1,2,3,6]=>[1,4,1,3,5,2]
[4,1,1,2,6,3]=>[1,2,5,3,1,4]
[4,1,1,3,2,6]=>[1,4,1,3,6,2]
[4,1,1,3,6,2]=>[2,5,2,4,1,3]
[4,1,1,6,2,3]=>[1,2,6,3,1,4]
[4,1,1,6,3,2]=>[2,3,1,5,2,4]
[4,1,2,1,3,6]=>[1,5,1,3,4,2]
[4,1,2,1,6,3]=>[1,2,4,3,1,5]
[4,1,2,3,1,6]=>[1,6,1,3,4,2]
[4,1,2,3,6,1]=>[2,1,3,5,4,2]
[4,1,2,6,1,3]=>[1,2,4,3,1,6]
[4,1,2,6,3,1]=>[2,3,5,4,2,1]
[4,1,3,1,2,6]=>[1,5,1,3,6,2]
[4,1,3,1,6,2]=>[2,6,2,4,1,3]
[4,1,3,2,1,6]=>[1,6,1,3,5,2]
[4,1,3,2,6,1]=>[2,1,3,6,4,2]
[4,1,3,6,1,2]=>[3,1,4,2,3,5]
[4,1,3,6,2,1]=>[3,2,4,1,5,3]
[4,1,6,1,2,3]=>[1,2,6,3,1,5]
[4,1,6,1,3,2]=>[2,3,1,6,2,4]
[4,1,6,2,1,3]=>[1,2,5,3,1,6]
[4,1,6,2,3,1]=>[2,3,6,4,2,1]
[4,1,6,3,1,2]=>[3,4,2,1,3,5]
[4,1,6,3,2,1]=>[3,4,1,2,5,3]
[4,2,1,1,3,6]=>[1,5,1,4,3,2]
[4,2,1,1,6,3]=>[1,2,3,4,1,5]
[4,2,1,3,1,6]=>[1,6,1,4,3,2]
[4,2,1,3,6,1]=>[2,1,3,4,5,2]
[4,2,1,6,1,3]=>[1,2,3,4,1,6]
[4,2,1,6,3,1]=>[2,3,4,5,2,1]
[4,2,3,1,1,6]=>[1,6,1,5,3,2]
[4,2,3,1,6,1]=>[2,1,3,4,6,2]
[4,2,3,6,1,1]=>[3,2,4,5,1,3]
[4,2,6,1,1,3]=>[1,2,3,5,1,6]
[4,2,6,1,3,1]=>[2,3,4,6,2,1]
[4,2,6,3,1,1]=>[3,4,5,1,2,3]
[4,3,1,1,2,6]=>[1,5,1,4,6,2]
[4,3,1,1,6,2]=>[2,6,2,5,1,3]
[4,3,1,2,1,6]=>[1,6,1,4,5,2]
[4,3,1,2,6,1]=>[2,1,3,6,5,2]
[4,3,1,6,1,2]=>[3,1,4,2,3,6]
[4,3,1,6,2,1]=>[3,2,4,1,6,3]
[4,3,2,1,1,6]=>[1,6,1,5,4,2]
[4,3,2,1,6,1]=>[2,1,3,5,6,2]
[4,3,2,6,1,1]=>[3,2,4,6,1,3]
[4,3,6,1,1,2]=>[4,2,5,3,4,1]
[4,3,6,1,2,1]=>[4,3,5,2,1,4]
[4,3,6,2,1,1]=>[4,3,5,1,2,4]
[4,6,1,1,2,3]=>[1,2,6,4,1,5]
[4,6,1,1,3,2]=>[2,3,1,6,2,5]
[4,6,1,2,1,3]=>[1,2,5,4,1,6]
[4,6,1,2,3,1]=>[2,3,6,5,2,1]
[4,6,1,3,1,2]=>[3,4,2,1,3,6]
[4,6,1,3,2,1]=>[3,4,1,2,6,3]
[4,6,2,1,1,3]=>[1,2,4,5,1,6]
[4,6,2,1,3,1]=>[2,3,5,6,2,1]
[4,6,2,3,1,1]=>[3,4,6,1,2,3]
[4,6,3,1,1,2]=>[4,5,3,2,4,1]
[4,6,3,1,2,1]=>[4,5,2,3,1,4]
[4,6,3,2,1,1]=>[4,5,1,3,2,4]
[6,1,1,2,3,4]=>[2,1,5,2,4,6]
[6,1,1,2,4,3]=>[1,6,5,3,1,4]
[6,1,1,3,2,4]=>[3,2,6,3,5,1]
[6,1,1,3,4,2]=>[3,1,6,3,5,2]
[6,1,1,4,2,3]=>[1,5,6,3,1,4]
[6,1,1,4,3,2]=>[2,6,1,5,2,4]
[6,1,2,1,3,4]=>[2,1,6,2,4,5]
[6,1,2,1,4,3]=>[1,6,4,3,1,5]
[6,1,2,3,1,4]=>[3,2,1,3,5,6]
[6,1,2,3,4,1]=>[3,1,2,6,5,3]
[6,1,2,4,1,3]=>[1,5,4,3,1,6]
[6,1,2,4,3,1]=>[2,6,5,4,2,1]
[6,1,3,1,2,4]=>[4,3,1,4,6,2]
[6,1,3,1,4,2]=>[4,2,1,4,6,3]
[6,1,3,2,1,4]=>[4,3,2,4,6,1]
[6,1,3,2,4,1]=>[4,2,3,1,6,4]
[6,1,3,4,1,2]=>[4,1,2,3,4,6]
[6,1,3,4,2,1]=>[4,1,3,2,6,4]
[6,1,4,1,2,3]=>[1,4,6,3,1,5]
[6,1,4,1,3,2]=>[2,5,1,6,2,4]
[6,1,4,2,1,3]=>[1,4,5,3,1,6]
[6,1,4,2,3,1]=>[2,5,6,4,2,1]
[6,1,4,3,1,2]=>[3,6,2,1,3,5]
[6,1,4,3,2,1]=>[3,6,1,2,5,3]
[6,2,1,1,3,4]=>[2,1,6,2,5,4]
[6,2,1,1,4,3]=>[1,6,3,4,1,5]
[6,2,1,3,1,4]=>[3,2,1,3,6,5]
[6,2,1,3,4,1]=>[3,1,2,5,6,3]
[6,2,1,4,1,3]=>[1,5,3,4,1,6]
[6,2,1,4,3,1]=>[2,6,4,5,2,1]
[6,2,3,1,1,4]=>[4,3,2,4,1,6]
[6,2,3,1,4,1]=>[4,2,3,6,1,4]
[6,2,3,4,1,1]=>[4,1,3,6,2,4]
[6,2,4,1,1,3]=>[1,4,3,5,1,6]
[6,2,4,1,3,1]=>[2,5,4,6,2,1]
[6,2,4,3,1,1]=>[3,6,5,1,2,3]
[6,3,1,1,2,4]=>[5,4,2,5,1,3]
[6,3,1,1,4,2]=>[5,3,2,5,1,4]
[6,3,1,2,1,4]=>[5,4,3,5,1,2]
[6,3,1,2,4,1]=>[5,3,4,2,1,5]
[6,3,1,4,1,2]=>[5,2,3,4,5,1]
[6,3,1,4,2,1]=>[5,2,4,3,1,5]
[6,3,2,1,1,4]=>[5,4,3,5,2,1]
[6,3,2,1,4,1]=>[5,3,4,1,2,5]
[6,3,2,4,1,1]=>[5,2,4,1,3,5]
[6,3,4,1,1,2]=>[5,1,3,4,5,2]
[6,3,4,1,2,1]=>[5,1,4,3,2,5]
[6,3,4,2,1,1]=>[5,1,4,2,3,5]
[6,4,1,1,2,3]=>[1,3,6,4,1,5]
[6,4,1,1,3,2]=>[2,4,1,6,2,5]
[6,4,1,2,1,3]=>[1,3,5,4,1,6]
[6,4,1,2,3,1]=>[2,4,6,5,2,1]
[6,4,1,3,1,2]=>[3,5,2,1,3,6]
[6,4,1,3,2,1]=>[3,5,1,2,6,3]
[6,4,2,1,1,3]=>[1,3,4,5,1,6]
[6,4,2,1,3,1]=>[2,4,5,6,2,1]
[6,4,2,3,1,1]=>[3,5,6,1,2,3]
[6,4,3,1,1,2]=>[4,6,3,2,4,1]
[6,4,3,1,2,1]=>[4,6,2,3,1,4]
[6,4,3,2,1,1]=>[4,6,1,3,2,4]
[1,1,2,3,5,5]=>[1,2,1,3,5,5]
[1,1,2,5,3,5]=>[3,4,3,5,1,1]
[1,1,2,5,5,3]=>[2,3,2,4,1,1]
[1,1,3,2,5,5]=>[1,2,1,3,4,4]
[1,1,3,5,2,5]=>[1,4,2,1,3,4]
[1,1,3,5,5,2]=>[1,4,4,3,1,2]
[1,1,5,2,3,5]=>[3,1,4,3,5,1]
[1,1,5,2,5,3]=>[2,1,3,2,4,1]
[1,1,5,3,2,5]=>[1,5,2,1,3,5]
[1,1,5,3,5,2]=>[1,5,5,3,1,2]
[1,1,5,5,2,3]=>[2,1,1,3,2,4]
[1,1,5,5,3,2]=>[3,1,1,5,3,4]
[1,2,1,3,5,5]=>[1,2,1,4,5,5]
[1,2,1,5,3,5]=>[3,4,3,6,1,1]
[1,2,1,5,5,3]=>[2,3,2,5,1,1]
[1,2,3,1,5,5]=>[1,2,1,5,4,4]
[1,2,3,5,1,5]=>[1,2,1,6,4,4]
[1,2,3,5,5,1]=>[2,3,2,1,5,5]
[1,2,5,1,3,5]=>[4,5,4,1,2,2]
[1,2,5,1,5,3]=>[2,3,2,6,1,1]
[1,2,5,3,1,5]=>[4,5,4,2,1,1]
[1,2,5,3,5,1]=>[4,5,4,3,1,1]
[1,2,5,5,1,3]=>[3,4,3,1,2,2]
[1,2,5,5,3,1]=>[3,4,3,2,1,1]
[1,3,1,2,5,5]=>[1,2,1,4,3,3]
[1,3,1,5,2,5]=>[1,3,2,1,4,3]
[1,3,1,5,5,2]=>[1,3,3,4,1,2]
[1,3,2,1,5,5]=>[1,2,1,5,3,3]
[1,3,2,5,1,5]=>[1,2,1,6,3,3]
[1,3,2,5,5,1]=>[2,3,2,1,4,4]
[1,3,5,1,2,5]=>[1,3,2,1,5,3]
[1,3,5,1,5,2]=>[1,3,3,5,1,2]
[1,3,5,2,1,5]=>[1,3,2,1,6,3]
[1,3,5,2,5,1]=>[2,4,3,2,1,4]
[1,3,5,5,1,2]=>[1,3,3,6,1,2]
[1,3,5,5,2,1]=>[2,4,4,1,3,2]
[1,5,1,2,3,5]=>[3,1,4,3,6,1]
[1,5,1,2,5,3]=>[2,1,3,2,5,1]
[1,5,1,3,2,5]=>[1,5,2,1,4,5]
[1,5,1,3,5,2]=>[1,5,5,4,1,2]
[1,5,1,5,2,3]=>[2,1,1,3,2,5]
[1,5,1,5,3,2]=>[3,1,1,6,3,4]
[1,5,2,1,3,5]=>[4,2,5,4,1,2]
[1,5,2,1,5,3]=>[2,1,3,2,6,1]
[1,5,2,3,1,5]=>[4,1,5,4,2,1]
[1,5,2,3,5,1]=>[4,1,5,4,3,1]
[1,5,2,5,1,3]=>[3,2,4,3,1,2]
[1,5,2,5,3,1]=>[3,1,4,3,2,1]
[1,5,3,1,2,5]=>[1,4,2,1,5,4]
[1,5,3,1,5,2]=>[1,4,4,5,1,2]
[1,5,3,2,1,5]=>[1,4,2,1,6,4]
[1,5,3,2,5,1]=>[2,5,3,2,1,5]
[1,5,3,5,1,2]=>[1,4,4,6,1,2]
[1,5,3,5,2,1]=>[2,5,5,1,3,2]
[1,5,5,1,2,3]=>[2,1,1,3,2,6]
[1,5,5,1,3,2]=>[4,2,2,1,4,5]
[1,5,5,2,1,3]=>[3,2,2,4,3,1]
[1,5,5,2,3,1]=>[3,1,1,4,3,2]
[1,5,5,3,1,2]=>[4,1,1,2,4,5]
[1,5,5,3,2,1]=>[4,1,1,3,5,4]
[2,1,1,3,5,5]=>[1,3,1,4,5,5]
[2,1,1,5,3,5]=>[3,5,3,6,1,1]
[2,1,1,5,5,3]=>[2,4,2,5,1,1]
[2,1,3,1,5,5]=>[1,3,1,5,4,4]
[2,1,3,5,1,5]=>[1,3,1,6,4,4]
[2,1,3,5,5,1]=>[2,4,2,1,5,5]
[2,1,5,1,3,5]=>[4,6,4,1,2,2]
[2,1,5,1,5,3]=>[2,4,2,6,1,1]
[2,1,5,3,1,5]=>[4,6,4,2,1,1]
[2,1,5,3,5,1]=>[4,6,4,3,1,1]
[2,1,5,5,1,3]=>[3,5,3,1,2,2]
[2,1,5,5,3,1]=>[3,5,3,2,1,1]
[2,3,1,1,5,5]=>[1,4,1,5,3,3]
[2,3,1,5,1,5]=>[1,4,1,6,3,3]
[2,3,1,5,5,1]=>[2,5,2,1,4,4]
[2,3,5,1,1,5]=>[1,5,3,1,6,3]
[2,3,5,1,5,1]=>[2,6,4,2,1,4]
[2,3,5,5,1,1]=>[3,1,5,5,2,3]
[2,5,1,1,3,5]=>[5,1,3,5,2,3]
[2,5,1,1,5,3]=>[2,5,1,2,6,1]
[2,5,1,3,1,5]=>[5,1,2,5,3,2]
[2,5,1,3,5,1]=>[5,1,2,5,4,2]
[2,5,1,5,1,3]=>[3,6,2,3,1,2]
[2,5,1,5,3,1]=>[3,6,1,3,2,1]
[2,5,3,1,1,5]=>[5,2,1,5,3,1]
[2,5,3,1,5,1]=>[5,2,1,5,4,1]
[2,5,3,5,1,1]=>[5,3,1,1,4,5]
[2,5,5,1,1,3]=>[4,1,3,3,4,2]
[2,5,5,1,3,1]=>[4,1,2,2,4,3]
[2,5,5,3,1,1]=>[4,2,1,1,3,4]
[3,1,1,2,5,5]=>[1,3,1,4,2,2]
[3,1,1,5,2,5]=>[1,2,3,1,4,2]
[3,1,1,5,5,2]=>[1,2,2,4,1,3]
[3,1,2,1,5,5]=>[1,3,1,5,2,2]
[3,1,2,5,1,5]=>[1,3,1,6,2,2]
[3,1,2,5,5,1]=>[2,4,2,1,3,3]
[3,1,5,1,2,5]=>[1,2,3,1,5,2]
[3,1,5,1,5,2]=>[1,2,2,5,1,3]
[3,1,5,2,1,5]=>[1,2,3,1,6,2]
[3,1,5,2,5,1]=>[2,3,4,2,1,3]
[3,1,5,5,1,2]=>[1,2,2,6,1,3]
[3,1,5,5,2,1]=>[2,3,3,1,4,2]
[3,2,1,1,5,5]=>[1,4,1,5,2,2]
[3,2,1,5,1,5]=>[1,4,1,6,2,2]
[3,2,1,5,5,1]=>[2,5,2,1,3,3]
[3,2,5,1,1,5]=>[1,5,2,1,6,2]
[3,2,5,1,5,1]=>[2,6,3,2,1,3]
[3,2,5,5,1,1]=>[3,1,4,4,2,3]
[3,5,1,1,2,5]=>[1,2,4,1,5,2]
[3,5,1,1,5,2]=>[1,2,2,5,1,4]
[3,5,1,2,1,5]=>[1,2,4,1,6,2]
[3,5,1,2,5,1]=>[2,3,5,2,1,3]
[3,5,1,5,1,2]=>[1,2,2,6,1,4]
[3,5,1,5,2,1]=>[2,3,3,1,5,2]
[3,5,2,1,1,5]=>[1,2,5,1,6,2]
[3,5,2,1,5,1]=>[2,3,6,2,1,3]
[3,5,2,5,1,1]=>[3,4,1,4,2,3]
[3,5,5,1,1,2]=>[1,2,2,6,1,5]
[3,5,5,1,2,1]=>[2,3,3,1,6,2]
[3,5,5,2,1,1]=>[3,4,4,2,1,3]
[5,1,1,2,3,5]=>[3,1,5,3,6,1]
[5,1,1,2,5,3]=>[2,1,4,2,5,1]
[5,1,1,3,2,5]=>[1,5,3,1,4,5]
[5,1,1,3,5,2]=>[1,5,5,4,1,3]
[5,1,1,5,2,3]=>[2,1,1,4,2,5]
[5,1,1,5,3,2]=>[3,1,1,6,3,5]
[5,1,2,1,3,5]=>[4,2,6,4,1,2]
[5,1,2,1,5,3]=>[2,1,4,2,6,1]
[5,1,2,3,1,5]=>[4,1,6,4,2,1]
[5,1,2,3,5,1]=>[4,1,6,4,3,1]
[5,1,2,5,1,3]=>[3,2,5,3,1,2]
[5,1,2,5,3,1]=>[3,1,5,3,2,1]
[5,1,3,1,2,5]=>[1,4,3,1,5,4]
[5,1,3,1,5,2]=>[1,4,4,5,1,3]
[5,1,3,2,1,5]=>[1,4,3,1,6,4]
[5,1,3,2,5,1]=>[2,5,4,2,1,5]
[5,1,3,5,1,2]=>[1,4,4,6,1,3]
[5,1,3,5,2,1]=>[2,5,5,1,4,2]
[5,1,5,1,2,3]=>[2,1,1,4,2,6]
[5,1,5,1,3,2]=>[4,2,2,1,4,6]
[5,1,5,2,1,3]=>[3,2,2,5,3,1]
[5,1,5,2,3,1]=>[3,1,1,5,3,2]
[5,1,5,3,1,2]=>[4,1,1,2,4,6]
[5,1,5,3,2,1]=>[4,1,1,3,6,4]
[5,2,1,1,3,5]=>[5,3,1,5,2,3]
[5,2,1,1,5,3]=>[2,1,5,2,6,1]
[5,2,1,3,1,5]=>[5,2,1,5,3,2]
[5,2,1,3,5,1]=>[5,2,1,5,4,2]
[5,2,1,5,1,3]=>[3,2,6,3,1,2]
[5,2,1,5,3,1]=>[3,1,6,3,2,1]
[5,2,3,1,1,5]=>[5,1,2,5,3,1]
[5,2,3,1,5,1]=>[5,1,2,5,4,1]
[5,2,3,5,1,1]=>[5,1,3,1,4,5]
[5,2,5,1,1,3]=>[4,3,1,3,4,2]
[5,2,5,1,3,1]=>[4,2,1,2,4,3]
[5,2,5,3,1,1]=>[4,1,2,1,3,4]
[5,3,1,1,2,5]=>[1,3,4,1,5,3]
[5,3,1,1,5,2]=>[1,3,3,5,1,4]
[5,3,1,2,1,5]=>[1,3,4,1,6,3]
[5,3,1,2,5,1]=>[2,4,5,2,1,4]
[5,3,1,5,1,2]=>[1,3,3,6,1,4]
[5,3,1,5,2,1]=>[2,4,4,1,5,2]
[5,3,2,1,1,5]=>[1,3,5,1,6,3]
[5,3,2,1,5,1]=>[2,4,6,2,1,4]
[5,3,2,5,1,1]=>[3,5,1,5,2,3]
[5,3,5,1,1,2]=>[1,3,3,6,1,5]
[5,3,5,1,2,1]=>[2,4,4,1,6,2]
[5,3,5,2,1,1]=>[3,5,5,2,1,3]
[5,5,1,1,2,3]=>[2,1,1,5,2,6]
[5,5,1,1,3,2]=>[5,3,3,2,5,1]
[5,5,1,2,1,3]=>[3,2,2,6,3,1]
[5,5,1,2,3,1]=>[3,1,1,6,3,2]
[5,5,1,3,1,2]=>[5,2,2,3,5,1]
[5,5,1,3,2,1]=>[5,2,2,4,1,5]
[5,5,2,1,1,3]=>[4,3,3,1,4,2]
[5,5,2,1,3,1]=>[4,2,2,1,4,3]
[5,5,2,3,1,1]=>[4,1,1,2,3,4]
[5,5,3,1,1,2]=>[5,1,1,3,5,2]
[5,5,3,1,2,1]=>[5,1,1,4,2,5]
[5,5,3,2,1,1]=>[5,1,1,4,3,5]
[1,1,2,3,5,6]=>[1,2,1,3,5,6]
[1,1,2,3,6,5]=>[2,3,2,4,6,1]
[1,1,2,5,3,6]=>[1,2,1,3,6,5]
[1,1,2,5,6,3]=>[2,3,2,4,1,6]
[1,1,2,6,3,5]=>[3,4,3,5,1,2]
[1,1,2,6,5,3]=>[3,4,3,5,2,1]
[1,1,3,2,5,6]=>[1,2,1,3,4,6]
[1,1,3,2,6,5]=>[2,3,2,4,5,1]
[1,1,3,5,2,6]=>[1,2,1,3,4,5]
[1,1,3,5,6,2]=>[1,5,4,3,1,2]
[1,1,3,6,2,5]=>[2,1,3,2,4,5]
[1,1,3,6,5,2]=>[1,6,4,3,1,2]
[1,1,5,2,3,6]=>[1,2,1,3,6,4]
[1,1,5,2,6,3]=>[2,3,2,4,1,5]
[1,1,5,3,2,6]=>[1,2,1,3,5,4]
[1,1,5,3,6,2]=>[1,4,5,3,1,2]
[1,1,5,6,2,3]=>[2,5,1,3,2,4]
[1,1,5,6,3,2]=>[1,4,6,3,1,2]
[1,1,6,2,3,5]=>[3,2,4,3,5,1]
[1,1,6,2,5,3]=>[3,1,4,3,5,2]
[1,1,6,3,2,5]=>[2,1,3,2,4,6]
[1,1,6,3,5,2]=>[1,6,5,3,1,2]
[1,1,6,5,2,3]=>[2,6,1,3,2,4]
[1,1,6,5,3,2]=>[1,5,6,3,1,2]
[1,2,1,3,5,6]=>[1,2,1,4,5,6]
[1,2,1,3,6,5]=>[2,3,2,5,6,1]
[1,2,1,5,3,6]=>[1,2,1,4,6,5]
[1,2,1,5,6,3]=>[2,3,2,5,1,6]
[1,2,1,6,3,5]=>[3,4,3,6,1,2]
[1,2,1,6,5,3]=>[3,4,3,6,2,1]
[1,2,3,1,5,6]=>[1,2,1,5,4,6]
[1,2,3,1,6,5]=>[2,3,2,6,5,1]
[1,2,3,5,1,6]=>[1,2,1,6,4,5]
[1,2,3,5,6,1]=>[2,3,2,1,6,5]
[1,2,3,6,1,5]=>[3,4,3,1,2,6]
[1,2,3,6,5,1]=>[3,4,3,2,1,6]
[1,2,5,1,3,6]=>[1,2,1,5,6,4]
[1,2,5,1,6,3]=>[2,3,2,6,1,5]
[1,2,5,3,1,6]=>[1,2,1,6,5,4]
[1,2,5,3,6,1]=>[2,3,2,1,5,6]
[1,2,5,6,1,3]=>[3,4,3,1,6,2]
[1,2,5,6,3,1]=>[3,4,3,2,6,1]
[1,2,6,1,3,5]=>[4,5,4,1,3,2]
[1,2,6,1,5,3]=>[4,5,4,1,2,3]
[1,2,6,3,1,5]=>[4,5,4,2,3,1]
[1,2,6,3,5,1]=>[4,5,4,3,2,1]
[1,2,6,5,1,3]=>[4,5,4,2,1,3]
[1,2,6,5,3,1]=>[4,5,4,3,1,2]
[1,3,1,2,5,6]=>[1,2,1,4,3,6]
[1,3,1,2,6,5]=>[2,3,2,5,4,1]
[1,3,1,5,2,6]=>[1,2,1,4,3,5]
[1,3,1,5,6,2]=>[1,5,3,4,1,2]
[1,3,1,6,2,5]=>[2,1,3,2,5,4]
[1,3,1,6,5,2]=>[1,6,3,4,1,2]
[1,3,2,1,5,6]=>[1,2,1,5,3,6]
[1,3,2,1,6,5]=>[2,3,2,6,4,1]
[1,3,2,5,1,6]=>[1,2,1,6,3,5]
[1,3,2,5,6,1]=>[2,3,2,1,6,4]
[1,3,2,6,1,5]=>[3,4,3,1,2,5]
[1,3,2,6,5,1]=>[3,4,3,2,1,5]
[1,3,5,1,2,6]=>[1,2,1,5,3,4]
[1,3,5,1,6,2]=>[1,4,3,5,1,2]
[1,3,5,2,1,6]=>[1,2,1,6,3,4]
[1,3,5,2,6,1]=>[2,3,2,1,5,4]
[1,3,5,6,1,2]=>[1,4,3,6,1,2]
[1,3,5,6,2,1]=>[2,5,4,1,3,2]
[1,3,6,1,2,5]=>[2,1,3,2,6,4]
[1,3,6,1,5,2]=>[1,6,3,5,1,2]
[1,3,6,2,1,5]=>[3,2,4,3,1,5]
[1,3,6,2,5,1]=>[3,1,4,3,2,5]
[1,3,6,5,1,2]=>[1,5,3,6,1,2]
[1,3,6,5,2,1]=>[2,6,4,1,3,2]
[1,5,1,2,3,6]=>[1,2,1,4,6,3]
[1,5,1,2,6,3]=>[2,3,2,5,1,4]
[1,5,1,3,2,6]=>[1,2,1,4,5,3]
[1,5,1,3,6,2]=>[1,3,5,4,1,2]
[1,5,1,6,2,3]=>[2,4,1,3,2,5]
[1,5,1,6,3,2]=>[1,3,6,4,1,2]
[1,5,2,1,3,6]=>[1,2,1,5,6,3]
[1,5,2,1,6,3]=>[2,3,2,6,1,4]
[1,5,2,3,1,6]=>[1,2,1,6,5,3]
[1,5,2,3,6,1]=>[2,3,2,1,4,6]
[1,5,2,6,1,3]=>[3,4,3,1,5,2]
[1,5,2,6,3,1]=>[3,4,3,2,5,1]
[1,5,3,1,2,6]=>[1,2,1,5,4,3]
[1,5,3,1,6,2]=>[1,3,4,5,1,2]
[1,5,3,2,1,6]=>[1,2,1,6,4,3]
[1,5,3,2,6,1]=>[2,3,2,1,4,5]
[1,5,3,6,1,2]=>[1,3,4,6,1,2]
[1,5,3,6,2,1]=>[2,4,5,1,3,2]
[1,5,6,1,2,3]=>[2,4,1,3,2,6]
[1,5,6,1,3,2]=>[1,3,6,5,1,2]
[1,5,6,2,1,3]=>[3,5,2,4,3,1]
[1,5,6,2,3,1]=>[3,5,1,4,3,2]
[1,5,6,3,1,2]=>[1,3,5,6,1,2]
[1,5,6,3,2,1]=>[2,4,6,1,3,2]
[1,6,1,2,3,5]=>[3,2,4,3,6,1]
[1,6,1,2,5,3]=>[3,1,4,3,6,2]
[1,6,1,3,2,5]=>[2,1,3,2,5,6]
[1,6,1,3,5,2]=>[1,6,5,4,1,2]
[1,6,1,5,2,3]=>[2,6,1,3,2,5]
[1,6,1,5,3,2]=>[1,5,6,4,1,2]
[1,6,2,1,3,5]=>[4,3,5,4,1,2]
[1,6,2,1,5,3]=>[4,2,5,4,1,3]
[1,6,2,3,1,5]=>[4,3,5,4,2,1]
[1,6,2,3,5,1]=>[4,2,5,4,3,1]
[1,6,2,5,1,3]=>[4,1,5,4,2,3]
[1,6,2,5,3,1]=>[4,1,5,4,3,2]
[1,6,3,1,2,5]=>[2,1,3,2,6,5]
[1,6,3,1,5,2]=>[1,6,4,5,1,2]
[1,6,3,2,1,5]=>[3,2,4,3,1,6]
[1,6,3,2,5,1]=>[3,1,4,3,2,6]
[1,6,3,5,1,2]=>[1,5,4,6,1,2]
[1,6,3,5,2,1]=>[2,6,5,1,3,2]
[1,6,5,1,2,3]=>[2,5,1,3,2,6]
[1,6,5,1,3,2]=>[1,4,6,5,1,2]
[1,6,5,2,1,3]=>[3,6,2,4,3,1]
[1,6,5,2,3,1]=>[3,6,1,4,3,2]
[1,6,5,3,1,2]=>[1,4,5,6,1,2]
[1,6,5,3,2,1]=>[2,5,6,1,3,2]
[2,1,1,3,5,6]=>[1,3,1,4,5,6]
[2,1,1,3,6,5]=>[2,4,2,5,6,1]
[2,1,1,5,3,6]=>[1,3,1,4,6,5]
[2,1,1,5,6,3]=>[2,4,2,5,1,6]
[2,1,1,6,3,5]=>[3,5,3,6,1,2]
[2,1,1,6,5,3]=>[3,5,3,6,2,1]
[2,1,3,1,5,6]=>[1,3,1,5,4,6]
[2,1,3,1,6,5]=>[2,4,2,6,5,1]
[2,1,3,5,1,6]=>[1,3,1,6,4,5]
[2,1,3,5,6,1]=>[2,4,2,1,6,5]
[2,1,3,6,1,5]=>[3,5,3,1,2,6]
[2,1,3,6,5,1]=>[3,5,3,2,1,6]
[2,1,5,1,3,6]=>[1,3,1,5,6,4]
[2,1,5,1,6,3]=>[2,4,2,6,1,5]
[2,1,5,3,1,6]=>[1,3,1,6,5,4]
[2,1,5,3,6,1]=>[2,4,2,1,5,6]
[2,1,5,6,1,3]=>[3,5,3,1,6,2]
[2,1,5,6,3,1]=>[3,5,3,2,6,1]
[2,1,6,1,3,5]=>[4,6,4,1,3,2]
[2,1,6,1,5,3]=>[4,6,4,1,2,3]
[2,1,6,3,1,5]=>[4,6,4,2,3,1]
[2,1,6,3,5,1]=>[4,6,4,3,2,1]
[2,1,6,5,1,3]=>[4,6,4,2,1,3]
[2,1,6,5,3,1]=>[4,6,4,3,1,2]
[2,3,1,1,5,6]=>[1,4,1,5,3,6]
[2,3,1,1,6,5]=>[2,5,2,6,4,1]
[2,3,1,5,1,6]=>[1,4,1,6,3,5]
[2,3,1,5,6,1]=>[2,5,2,1,6,4]
[2,3,1,6,1,5]=>[3,6,3,1,2,5]
[2,3,1,6,5,1]=>[3,6,3,2,1,5]
[2,3,5,1,1,6]=>[1,5,1,6,3,4]
[2,3,5,1,6,1]=>[2,6,2,1,5,4]
[2,3,5,6,1,1]=>[3,1,6,5,2,3]
[2,3,6,1,1,5]=>[4,1,3,4,2,6]
[2,3,6,1,5,1]=>[4,1,2,4,3,6]
[2,3,6,5,1,1]=>[4,2,1,6,3,4]
[2,5,1,1,3,6]=>[1,4,1,5,6,3]
[2,5,1,1,6,3]=>[2,5,2,6,1,4]
[2,5,1,3,1,6]=>[1,4,1,6,5,3]
[2,5,1,3,6,1]=>[2,5,2,1,4,6]
[2,5,1,6,1,3]=>[3,6,3,1,5,2]
[2,5,1,6,3,1]=>[3,6,3,2,5,1]
[2,5,3,1,1,6]=>[1,5,1,6,4,3]
[2,5,3,1,6,1]=>[2,6,2,1,4,5]
[2,5,3,6,1,1]=>[3,1,5,6,2,3]
[2,5,6,1,1,3]=>[4,1,6,3,4,2]
[2,5,6,1,3,1]=>[4,1,6,2,4,3]
[2,5,6,3,1,1]=>[4,2,6,1,3,4]
[2,6,1,1,3,5]=>[5,1,4,5,2,3]
[2,6,1,1,5,3]=>[5,1,3,5,2,4]
[2,6,1,3,1,5]=>[5,1,4,5,3,2]
[2,6,1,3,5,1]=>[5,1,3,5,4,2]
[2,6,1,5,1,3]=>[5,1,2,5,3,4]
[2,6,1,5,3,1]=>[5,1,2,5,4,3]
[2,6,3,1,1,5]=>[5,2,4,5,3,1]
[2,6,3,1,5,1]=>[5,2,3,5,4,1]
[2,6,3,5,1,1]=>[5,3,2,1,4,5]
[2,6,5,1,1,3]=>[5,2,1,4,5,3]
[2,6,5,1,3,1]=>[5,2,1,3,5,4]
[2,6,5,3,1,1]=>[5,3,1,2,4,5]
[3,1,1,2,5,6]=>[1,3,1,4,2,6]
[3,1,1,2,6,5]=>[2,4,2,5,3,1]
[3,1,1,5,2,6]=>[1,3,1,4,2,5]
[3,1,1,5,6,2]=>[1,5,2,4,1,3]
[3,1,1,6,2,5]=>[2,1,4,2,5,3]
[3,1,1,6,5,2]=>[1,6,2,4,1,3]
[3,1,2,1,5,6]=>[1,3,1,5,2,6]
[3,1,2,1,6,5]=>[2,4,2,6,3,1]
[3,1,2,5,1,6]=>[1,3,1,6,2,5]
[3,1,2,5,6,1]=>[2,4,2,1,6,3]
[3,1,2,6,1,5]=>[3,5,3,1,2,4]
[3,1,2,6,5,1]=>[3,5,3,2,1,4]
[3,1,5,1,2,6]=>[1,3,1,5,2,4]
[3,1,5,1,6,2]=>[1,4,2,5,1,3]
[3,1,5,2,1,6]=>[1,3,1,6,2,4]
[3,1,5,2,6,1]=>[2,4,2,1,5,3]
[3,1,5,6,1,2]=>[1,4,2,6,1,3]
[3,1,5,6,2,1]=>[2,5,3,1,4,2]
[3,1,6,1,2,5]=>[2,1,4,2,6,3]
[3,1,6,1,5,2]=>[1,6,2,5,1,3]
[3,1,6,2,1,5]=>[3,2,5,3,1,4]
[3,1,6,2,5,1]=>[3,1,5,3,2,4]
[3,1,6,5,1,2]=>[1,5,2,6,1,3]
[3,1,6,5,2,1]=>[2,6,3,1,4,2]
[3,2,1,1,5,6]=>[1,4,1,5,2,6]
[3,2,1,1,6,5]=>[2,5,2,6,3,1]
[3,2,1,5,1,6]=>[1,4,1,6,2,5]
[3,2,1,5,6,1]=>[2,5,2,1,6,3]
[3,2,1,6,1,5]=>[3,6,3,1,2,4]
[3,2,1,6,5,1]=>[3,6,3,2,1,4]
[3,2,5,1,1,6]=>[1,5,1,6,2,4]
[3,2,5,1,6,1]=>[2,6,2,1,5,3]
[3,2,5,6,1,1]=>[3,1,6,4,2,3]
[3,2,6,1,1,5]=>[4,1,3,4,2,5]
[3,2,6,1,5,1]=>[4,1,2,4,3,5]
[3,2,6,5,1,1]=>[4,2,1,5,3,4]
[3,5,1,1,2,6]=>[1,4,1,5,2,3]
[3,5,1,1,6,2]=>[1,3,2,5,1,4]
[3,5,1,2,1,6]=>[1,4,1,6,2,3]
[3,5,1,2,6,1]=>[2,5,2,1,4,3]
[3,5,1,6,1,2]=>[1,3,2,6,1,4]
[3,5,1,6,2,1]=>[2,4,3,1,5,2]
[3,5,2,1,1,6]=>[1,5,1,6,2,3]
[3,5,2,1,6,1]=>[2,6,2,1,4,3]
[3,5,2,6,1,1]=>[3,1,5,4,2,3]
[3,5,6,1,1,2]=>[1,3,2,6,1,5]
[3,5,6,1,2,1]=>[2,4,3,1,6,2]
[3,5,6,2,1,1]=>[3,5,4,2,1,3]
[3,6,1,1,2,5]=>[2,1,5,2,6,3]
[3,6,1,1,5,2]=>[1,6,2,5,1,4]
[3,6,1,2,1,5]=>[3,2,6,3,1,4]
[3,6,1,2,5,1]=>[3,1,6,3,2,4]
[3,6,1,5,1,2]=>[1,5,2,6,1,4]
[3,6,1,5,2,1]=>[2,6,3,1,5,2]
[3,6,2,1,1,5]=>[4,3,1,4,2,5]
[3,6,2,1,5,1]=>[4,2,1,4,3,5]
[3,6,2,5,1,1]=>[4,1,2,5,3,4]
[3,6,5,1,1,2]=>[1,4,2,6,1,5]
[3,6,5,1,2,1]=>[2,5,3,1,6,2]
[3,6,5,2,1,1]=>[3,6,4,2,1,3]
[5,1,1,2,3,6]=>[1,3,1,4,6,2]
[5,1,1,2,6,3]=>[2,4,2,5,1,3]
[5,1,1,3,2,6]=>[1,3,1,4,5,2]
[5,1,1,3,6,2]=>[1,2,5,4,1,3]
[5,1,1,6,2,3]=>[2,3,1,4,2,5]
[5,1,1,6,3,2]=>[1,2,6,4,1,3]
[5,1,2,1,3,6]=>[1,3,1,5,6,2]
[5,1,2,1,6,3]=>[2,4,2,6,1,3]
[5,1,2,3,1,6]=>[1,3,1,6,5,2]
[5,1,2,3,6,1]=>[2,4,2,1,3,6]
[5,1,2,6,1,3]=>[3,5,3,1,4,2]
[5,1,2,6,3,1]=>[3,5,3,2,4,1]
[5,1,3,1,2,6]=>[1,3,1,5,4,2]
[5,1,3,1,6,2]=>[1,2,4,5,1,3]
[5,1,3,2,1,6]=>[1,3,1,6,4,2]
[5,1,3,2,6,1]=>[2,4,2,1,3,5]
[5,1,3,6,1,2]=>[1,2,4,6,1,3]
[5,1,3,6,2,1]=>[2,3,5,1,4,2]
[5,1,6,1,2,3]=>[2,3,1,4,2,6]
[5,1,6,1,3,2]=>[1,2,6,5,1,3]
[5,1,6,2,1,3]=>[3,4,2,5,3,1]
[5,1,6,2,3,1]=>[3,4,1,5,3,2]
[5,1,6,3,1,2]=>[1,2,5,6,1,3]
[5,1,6,3,2,1]=>[2,3,6,1,4,2]
[5,2,1,1,3,6]=>[1,4,1,5,6,2]
[5,2,1,1,6,3]=>[2,5,2,6,1,3]
[5,2,1,3,1,6]=>[1,4,1,6,5,2]
[5,2,1,3,6,1]=>[2,5,2,1,3,6]
[5,2,1,6,1,3]=>[3,6,3,1,4,2]
[5,2,1,6,3,1]=>[3,6,3,2,4,1]
[5,2,3,1,1,6]=>[1,5,1,6,4,2]
[5,2,3,1,6,1]=>[2,6,2,1,3,5]
[5,2,3,6,1,1]=>[3,1,4,6,2,3]
[5,2,6,1,1,3]=>[4,1,5,3,4,2]
[5,2,6,1,3,1]=>[4,1,5,2,4,3]
[5,2,6,3,1,1]=>[4,2,5,1,3,4]
[5,3,1,1,2,6]=>[1,4,1,5,3,2]
[5,3,1,1,6,2]=>[1,2,3,5,1,4]
[5,3,1,2,1,6]=>[1,4,1,6,3,2]
[5,3,1,2,6,1]=>[2,5,2,1,3,4]
[5,3,1,6,1,2]=>[1,2,3,6,1,4]
[5,3,1,6,2,1]=>[2,3,4,1,5,2]
[5,3,2,1,1,6]=>[1,5,1,6,3,2]
[5,3,2,1,6,1]=>[2,6,2,1,3,4]
[5,3,2,6,1,1]=>[3,1,4,5,2,3]
[5,3,6,1,1,2]=>[1,2,3,6,1,5]
[5,3,6,1,2,1]=>[2,3,4,1,6,2]
[5,3,6,2,1,1]=>[3,4,5,2,1,3]
[5,6,1,1,2,3]=>[2,3,1,5,2,6]
[5,6,1,1,3,2]=>[1,2,6,5,1,4]
[5,6,1,2,1,3]=>[3,4,2,6,3,1]
[5,6,1,2,3,1]=>[3,4,1,6,3,2]
[5,6,1,3,1,2]=>[1,2,5,6,1,4]
[5,6,1,3,2,1]=>[2,3,6,1,5,2]
[5,6,2,1,1,3]=>[4,5,3,1,4,2]
[5,6,2,1,3,1]=>[4,5,2,1,4,3]
[5,6,2,3,1,1]=>[4,5,1,2,3,4]
[5,6,3,1,1,2]=>[1,2,4,6,1,5]
[5,6,3,1,2,1]=>[2,3,5,1,6,2]
[5,6,3,2,1,1]=>[3,4,6,2,1,3]
[6,1,1,2,3,5]=>[3,2,5,3,6,1]
[6,1,1,2,5,3]=>[3,1,5,3,6,2]
[6,1,1,3,2,5]=>[2,1,4,2,5,6]
[6,1,1,3,5,2]=>[1,6,5,4,1,3]
[6,1,1,5,2,3]=>[2,6,1,4,2,5]
[6,1,1,5,3,2]=>[1,5,6,4,1,3]
[6,1,2,1,3,5]=>[4,3,6,4,1,2]
[6,1,2,1,5,3]=>[4,2,6,4,1,3]
[6,1,2,3,1,5]=>[4,3,6,4,2,1]
[6,1,2,3,5,1]=>[4,2,6,4,3,1]
[6,1,2,5,1,3]=>[4,1,6,4,2,3]
[6,1,2,5,3,1]=>[4,1,6,4,3,2]
[6,1,3,1,2,5]=>[2,1,4,2,6,5]
[6,1,3,1,5,2]=>[1,6,4,5,1,3]
[6,1,3,2,1,5]=>[3,2,5,3,1,6]
[6,1,3,2,5,1]=>[3,1,5,3,2,6]
[6,1,3,5,1,2]=>[1,5,4,6,1,3]
[6,1,3,5,2,1]=>[2,6,5,1,4,2]
[6,1,5,1,2,3]=>[2,5,1,4,2,6]
[6,1,5,1,3,2]=>[1,4,6,5,1,3]
[6,1,5,2,1,3]=>[3,6,2,5,3,1]
[6,1,5,2,3,1]=>[3,6,1,5,3,2]
[6,1,5,3,1,2]=>[1,4,5,6,1,3]
[6,1,5,3,2,1]=>[2,5,6,1,4,2]
[6,2,1,1,3,5]=>[5,4,1,5,2,3]
[6,2,1,1,5,3]=>[5,3,1,5,2,4]
[6,2,1,3,1,5]=>[5,4,1,5,3,2]
[6,2,1,3,5,1]=>[5,3,1,5,4,2]
[6,2,1,5,1,3]=>[5,2,1,5,3,4]
[6,2,1,5,3,1]=>[5,2,1,5,4,3]
[6,2,3,1,1,5]=>[5,4,2,5,3,1]
[6,2,3,1,5,1]=>[5,3,2,5,4,1]
[6,2,3,5,1,1]=>[5,2,3,1,4,5]
[6,2,5,1,1,3]=>[5,1,2,4,5,3]
[6,2,5,1,3,1]=>[5,1,2,3,5,4]
[6,2,5,3,1,1]=>[5,1,3,2,4,5]
[6,3,1,1,2,5]=>[2,1,5,2,6,4]
[6,3,1,1,5,2]=>[1,6,3,5,1,4]
[6,3,1,2,1,5]=>[3,2,6,3,1,5]
[6,3,1,2,5,1]=>[3,1,6,3,2,5]
[6,3,1,5,1,2]=>[1,5,3,6,1,4]
[6,3,1,5,2,1]=>[2,6,4,1,5,2]
[6,3,2,1,1,5]=>[4,3,1,4,2,6]
[6,3,2,1,5,1]=>[4,2,1,4,3,6]
[6,3,2,5,1,1]=>[4,1,2,6,3,4]
[6,3,5,1,1,2]=>[1,4,3,6,1,5]
[6,3,5,1,2,1]=>[2,5,4,1,6,2]
[6,3,5,2,1,1]=>[3,6,5,2,1,3]
[6,5,1,1,2,3]=>[2,4,1,5,2,6]
[6,5,1,1,3,2]=>[1,3,6,5,1,4]
[6,5,1,2,1,3]=>[3,5,2,6,3,1]
[6,5,1,2,3,1]=>[3,5,1,6,3,2]
[6,5,1,3,1,2]=>[1,3,5,6,1,4]
[6,5,1,3,2,1]=>[2,4,6,1,5,2]
[6,5,2,1,1,3]=>[4,6,3,1,4,2]
[6,5,2,1,3,1]=>[4,6,2,1,4,3]
[6,5,2,3,1,1]=>[4,6,1,2,3,4]
[6,5,3,1,1,2]=>[1,3,4,6,1,5]
[6,5,3,1,2,1]=>[2,4,5,1,6,2]
[6,5,3,2,1,1]=>[3,5,6,2,1,3]
[1,1,2,4,4,4]=>[1,1,2,4,4,4]
[1,1,4,2,4,4]=>[4,4,5,1,1,1]
[1,1,4,4,2,4]=>[3,3,4,1,1,1]
[1,1,4,4,4,2]=>[2,2,3,1,1,1]
[1,2,1,4,4,4]=>[1,1,2,3,3,3]
[1,2,4,1,4,4]=>[1,3,1,2,3,3]
[1,2,4,4,1,4]=>[1,3,3,1,2,3]
[1,2,4,4,4,1]=>[1,3,3,3,2,1]
[1,4,1,2,4,4]=>[4,1,4,5,1,1]
[1,4,1,4,2,4]=>[3,1,3,4,1,1]
[1,4,1,4,4,2]=>[2,1,2,3,1,1]
[1,4,2,1,4,4]=>[1,4,1,2,4,4]
[1,4,2,4,1,4]=>[1,4,4,1,2,4]
[1,4,2,4,4,1]=>[1,4,4,4,2,1]
[1,4,4,1,2,4]=>[3,1,1,3,4,1]
[1,4,4,1,4,2]=>[2,1,1,2,3,1]
[1,4,4,2,1,4]=>[4,1,1,4,5,1]
[1,4,4,2,4,1]=>[4,1,1,1,5,4]
[1,4,4,4,1,2]=>[2,1,1,1,2,3]
[1,4,4,4,2,1]=>[3,1,1,1,4,3]
[2,1,1,4,4,4]=>[1,1,3,2,2,2]
[2,1,4,1,4,4]=>[1,2,1,3,2,2]
[2,1,4,4,1,4]=>[1,2,2,1,3,2]
[2,1,4,4,4,1]=>[1,2,2,2,3,1]
[2,4,1,1,4,4]=>[1,2,1,4,2,2]
[2,4,1,4,1,4]=>[1,2,2,1,4,2]
[2,4,1,4,4,1]=>[1,2,2,2,4,1]
[2,4,4,1,1,4]=>[1,2,2,1,5,2]
[2,4,4,1,4,1]=>[1,2,2,2,5,1]
[2,4,4,4,1,1]=>[1,2,2,2,6,1]
[4,1,1,2,4,4]=>[4,1,4,6,1,1]
[4,1,1,4,2,4]=>[3,1,3,5,1,1]
[4,1,1,4,4,2]=>[2,1,2,4,1,1]
[4,1,2,1,4,4]=>[1,4,1,3,4,4]
[4,1,2,4,1,4]=>[1,4,4,1,3,4]
[4,1,2,4,4,1]=>[1,4,4,4,3,1]
[4,1,4,1,2,4]=>[3,1,1,3,5,1]
[4,1,4,1,4,2]=>[2,1,1,2,4,1]
[4,1,4,2,1,4]=>[4,1,1,4,6,1]
[4,1,4,2,4,1]=>[4,1,1,1,6,4]
[4,1,4,4,1,2]=>[2,1,1,1,2,4]
[4,1,4,4,2,1]=>[3,1,1,1,5,3]
[4,2,1,1,4,4]=>[1,3,1,4,3,3]
[4,2,1,4,1,4]=>[1,3,3,1,4,3]
[4,2,1,4,4,1]=>[1,3,3,3,4,1]
[4,2,4,1,1,4]=>[1,3,3,1,5,3]
[4,2,4,1,4,1]=>[1,3,3,3,5,1]
[4,2,4,4,1,1]=>[1,3,3,3,6,1]
[4,4,1,1,2,4]=>[3,1,1,3,6,1]
[4,4,1,1,4,2]=>[2,1,1,2,5,1]
[4,4,1,2,1,4]=>[5,2,2,5,1,2]
[4,4,1,2,4,1]=>[5,2,2,2,1,5]
[4,4,1,4,1,2]=>[2,1,1,1,2,5]
[4,4,1,4,2,1]=>[3,1,1,1,6,3]
[4,4,2,1,1,4]=>[5,1,1,5,2,1]
[4,4,2,1,4,1]=>[5,1,1,1,2,5]
[4,4,2,4,1,1]=>[5,1,1,1,3,5]
[4,4,4,1,1,2]=>[2,1,1,1,2,6]
[4,4,4,1,2,1]=>[4,2,2,2,1,4]
[4,4,4,2,1,1]=>[4,1,1,1,2,4]
[1,1,2,4,4,5]=>[1,1,2,4,4,5]
[1,1,2,4,5,4]=>[1,1,2,4,5,4]
[1,1,2,5,4,4]=>[1,1,2,4,6,4]
[1,1,4,2,4,5]=>[1,1,2,5,5,4]
[1,1,4,2,5,4]=>[1,1,2,5,4,5]
[1,1,4,4,2,5]=>[3,3,4,1,1,6]
[1,1,4,4,5,2]=>[2,2,3,1,1,5]
[1,1,4,5,2,4]=>[3,3,4,1,6,1]
[1,1,4,5,4,2]=>[2,2,3,1,5,1]
[1,1,5,2,4,4]=>[4,4,5,1,2,1]
[1,1,5,4,2,4]=>[4,4,5,2,1,2]
[1,1,5,4,4,2]=>[2,2,3,1,6,1]
[1,2,1,4,4,5]=>[1,1,2,3,3,5]
[1,2,1,4,5,4]=>[1,1,2,3,5,3]
[1,2,1,5,4,4]=>[1,1,2,3,6,3]
[1,2,4,1,4,5]=>[1,1,2,3,3,4]
[1,2,4,1,5,4]=>[1,1,2,3,4,3]
[1,2,4,4,1,5]=>[1,3,1,2,3,4]
[1,2,4,4,5,1]=>[1,3,4,3,2,1]
[1,2,4,5,1,4]=>[1,4,3,1,2,3]
[1,2,4,5,4,1]=>[1,4,3,3,2,1]
[1,2,5,1,4,4]=>[1,6,1,2,3,3]
[1,2,5,4,1,4]=>[1,5,3,1,2,3]
[1,2,5,4,4,1]=>[1,5,3,3,2,1]
[1,4,1,2,4,5]=>[1,1,2,5,5,3]
[1,4,1,2,5,4]=>[1,1,2,5,3,5]
[1,4,1,4,2,5]=>[3,3,4,1,1,5]
[1,4,1,4,5,2]=>[2,2,3,1,1,4]
[1,4,1,5,2,4]=>[3,3,4,1,5,1]
[1,4,1,5,4,2]=>[2,2,3,1,4,1]
[1,4,2,1,4,5]=>[1,1,2,4,4,3]
[1,4,2,1,5,4]=>[1,1,2,4,3,4]
[1,4,2,4,1,5]=>[1,4,1,2,4,3]
[1,4,2,4,5,1]=>[1,4,3,4,2,1]
[1,4,2,5,1,4]=>[1,3,4,1,2,4]
[1,4,2,5,4,1]=>[1,3,4,4,2,1]
[1,4,4,1,2,5]=>[3,1,3,4,1,5]
[1,4,4,1,5,2]=>[2,1,2,3,1,4]
[1,4,4,2,1,5]=>[1,5,1,2,5,3]
[1,4,4,2,5,1]=>[1,5,3,5,2,1]
[1,4,4,5,1,2]=>[2,1,4,1,2,3]
[1,4,4,5,2,1]=>[3,1,5,1,4,3]
[1,4,5,1,2,4]=>[3,5,1,3,4,1]
[1,4,5,1,4,2]=>[2,4,1,2,3,1]
[1,4,5,2,1,4]=>[1,3,5,1,2,5]
[1,4,5,2,4,1]=>[1,3,5,5,2,1]
[1,4,5,4,1,2]=>[2,4,1,1,2,3]
[1,4,5,4,2,1]=>[3,5,1,1,4,3]
[1,5,1,2,4,4]=>[4,2,4,5,1,1]
[1,5,1,4,2,4]=>[4,1,4,5,2,2]
[1,5,1,4,4,2]=>[2,6,2,3,1,1]
[1,5,2,1,4,4]=>[1,6,1,2,4,4]
[1,5,2,4,1,4]=>[1,5,4,1,2,4]
[1,5,2,4,4,1]=>[1,5,4,4,2,1]
[1,5,4,1,2,4]=>[3,6,1,3,4,1]
[1,5,4,1,4,2]=>[2,5,1,2,3,1]
[1,5,4,2,1,4]=>[1,4,5,1,2,5]
[1,5,4,2,4,1]=>[1,4,5,5,2,1]
[1,5,4,4,1,2]=>[2,5,1,1,2,3]
[1,5,4,4,2,1]=>[3,6,1,1,4,3]
[2,1,1,4,4,5]=>[1,1,3,2,2,5]
[2,1,1,4,5,4]=>[1,1,3,2,5,2]
[2,1,1,5,4,4]=>[1,1,3,2,6,2]
[2,1,4,1,4,5]=>[1,1,3,2,2,4]
[2,1,4,1,5,4]=>[1,1,3,2,4,2]
[2,1,4,4,1,5]=>[1,2,1,3,2,4]
[2,1,4,4,5,1]=>[1,2,4,2,3,1]
[2,1,4,5,1,4]=>[1,4,2,1,3,2]
[2,1,4,5,4,1]=>[1,4,2,2,3,1]
[2,1,5,1,4,4]=>[1,6,1,3,2,2]
[2,1,5,4,1,4]=>[1,5,2,1,3,2]
[2,1,5,4,4,1]=>[1,5,2,2,3,1]
[2,4,1,1,4,5]=>[1,1,4,2,2,3]
[2,4,1,1,5,4]=>[1,1,4,2,3,2]
[2,4,1,4,1,5]=>[1,2,1,4,2,3]
[2,4,1,4,5,1]=>[1,2,3,2,4,1]
[2,4,1,5,1,4]=>[1,3,2,1,4,2]
[2,4,1,5,4,1]=>[1,3,2,2,4,1]
[2,4,4,1,1,5]=>[1,2,1,5,2,3]
[2,4,4,1,5,1]=>[1,2,3,2,5,1]
[2,4,4,5,1,1]=>[1,2,3,2,6,1]
[2,4,5,1,1,4]=>[1,3,2,1,5,2]
[2,4,5,1,4,1]=>[1,3,2,2,5,1]
[2,4,5,4,1,1]=>[1,3,2,2,6,1]
[2,5,1,1,4,4]=>[1,6,1,4,2,2]
[2,5,1,4,1,4]=>[1,5,2,1,4,2]
[2,5,1,4,4,1]=>[1,5,2,2,4,1]
[2,5,4,1,1,4]=>[1,4,2,1,5,2]
[2,5,4,1,4,1]=>[1,4,2,2,5,1]
[2,5,4,4,1,1]=>[1,4,2,2,6,1]
[4,1,1,2,4,5]=>[1,1,3,5,5,2]
[4,1,1,2,5,4]=>[1,1,3,5,2,5]
[4,1,1,4,2,5]=>[3,3,5,1,1,4]
[4,1,1,4,5,2]=>[2,2,4,1,1,3]
[4,1,1,5,2,4]=>[3,3,5,1,4,1]
[4,1,1,5,4,2]=>[2,2,4,1,3,1]
[4,1,2,1,4,5]=>[1,1,3,4,4,2]
[4,1,2,1,5,4]=>[1,1,3,4,2,4]
[4,1,2,4,1,5]=>[1,4,1,3,4,2]
[4,1,2,4,5,1]=>[1,4,2,4,3,1]
[4,1,2,5,1,4]=>[1,2,4,1,3,4]
[4,1,2,5,4,1]=>[1,2,4,4,3,1]
[4,1,4,1,2,5]=>[3,1,3,5,1,4]
[4,1,4,1,5,2]=>[2,1,2,4,1,3]
[4,1,4,2,1,5]=>[1,5,1,3,5,2]
[4,1,4,2,5,1]=>[1,5,2,5,3,1]
[4,1,4,5,1,2]=>[2,1,3,1,2,4]
[4,1,4,5,2,1]=>[3,1,4,1,5,3]
[4,1,5,1,2,4]=>[3,4,1,3,5,1]
[4,1,5,1,4,2]=>[2,3,1,2,4,1]
[4,1,5,2,1,4]=>[1,2,5,1,3,5]
[4,1,5,2,4,1]=>[1,2,5,5,3,1]
[4,1,5,4,1,2]=>[2,3,1,1,2,4]
[4,1,5,4,2,1]=>[3,4,1,1,5,3]
[4,2,1,1,4,5]=>[1,1,4,3,3,2]
[4,2,1,1,5,4]=>[1,1,4,3,2,3]
[4,2,1,4,1,5]=>[1,3,1,4,3,2]
[4,2,1,4,5,1]=>[1,3,2,3,4,1]
[4,2,1,5,1,4]=>[1,2,3,1,4,3]
[4,2,1,5,4,1]=>[1,2,3,3,4,1]
[4,2,4,1,1,5]=>[1,3,1,5,3,2]
[4,2,4,1,5,1]=>[1,3,2,3,5,1]
[4,2,4,5,1,1]=>[1,3,2,3,6,1]
[4,2,5,1,1,4]=>[1,2,3,1,5,3]
[4,2,5,1,4,1]=>[1,2,3,3,5,1]
[4,2,5,4,1,1]=>[1,2,3,3,6,1]
[4,4,1,1,2,5]=>[3,1,3,6,1,4]
[4,4,1,1,5,2]=>[2,1,2,5,1,3]
[4,4,1,2,1,5]=>[1,5,1,4,5,2]
[4,4,1,2,5,1]=>[1,5,2,5,4,1]
[4,4,1,5,1,2]=>[2,1,3,1,2,5]
[4,4,1,5,2,1]=>[3,1,4,1,6,3]
[4,4,2,1,1,5]=>[1,4,1,5,4,2]
[4,4,2,1,5,1]=>[1,4,2,4,5,1]
[4,4,2,5,1,1]=>[1,4,2,4,6,1]
[4,4,5,1,1,2]=>[2,1,3,1,2,6]
[4,4,5,1,2,1]=>[4,2,5,2,1,4]
[4,4,5,2,1,1]=>[4,1,5,1,2,4]
[4,5,1,1,2,4]=>[3,4,1,3,6,1]
[4,5,1,1,4,2]=>[2,3,1,2,5,1]
[4,5,1,2,1,4]=>[1,2,5,1,4,5]
[4,5,1,2,4,1]=>[1,2,5,5,4,1]
[4,5,1,4,1,2]=>[2,3,1,1,2,5]
[4,5,1,4,2,1]=>[3,4,1,1,6,3]
[4,5,2,1,1,4]=>[1,2,4,1,5,4]
[4,5,2,1,4,1]=>[1,2,4,4,5,1]
[4,5,2,4,1,1]=>[1,2,4,4,6,1]
[4,5,4,1,1,2]=>[2,3,1,1,2,6]
[4,5,4,1,2,1]=>[4,5,2,2,1,4]
[4,5,4,2,1,1]=>[4,5,1,1,2,4]
[5,1,1,2,4,4]=>[4,2,4,6,1,1]
[5,1,1,4,2,4]=>[4,1,4,6,2,2]
[5,1,1,4,4,2]=>[2,6,2,4,1,1]
[5,1,2,1,4,4]=>[1,6,1,3,4,4]
[5,1,2,4,1,4]=>[1,5,4,1,3,4]
[5,1,2,4,4,1]=>[1,5,4,4,3,1]
[5,1,4,1,2,4]=>[3,6,1,3,5,1]
[5,1,4,1,4,2]=>[2,5,1,2,4,1]
[5,1,4,2,1,4]=>[1,4,5,1,3,5]
[5,1,4,2,4,1]=>[1,4,5,5,3,1]
[5,1,4,4,1,2]=>[2,5,1,1,2,4]
[5,1,4,4,2,1]=>[3,6,1,1,5,3]
[5,2,1,1,4,4]=>[1,6,1,4,3,3]
[5,2,1,4,1,4]=>[1,5,3,1,4,3]
[5,2,1,4,4,1]=>[1,5,3,3,4,1]
[5,2,4,1,1,4]=>[1,4,3,1,5,3]
[5,2,4,1,4,1]=>[1,4,3,3,5,1]
[5,2,4,4,1,1]=>[1,4,3,3,6,1]
[5,4,1,1,2,4]=>[3,5,1,3,6,1]
[5,4,1,1,4,2]=>[2,4,1,2,5,1]
[5,4,1,2,1,4]=>[1,3,5,1,4,5]
[5,4,1,2,4,1]=>[1,3,5,5,4,1]
[5,4,1,4,1,2]=>[2,4,1,1,2,5]
[5,4,1,4,2,1]=>[3,5,1,1,6,3]
[5,4,2,1,1,4]=>[1,3,4,1,5,4]
[5,4,2,1,4,1]=>[1,3,4,4,5,1]
[5,4,2,4,1,1]=>[1,3,4,4,6,1]
[5,4,4,1,1,2]=>[2,4,1,1,2,6]
[5,4,4,1,2,1]=>[4,6,2,2,1,4]
[5,4,4,2,1,1]=>[4,6,1,1,2,4]
[1,1,2,4,4,6]=>[1,1,2,4,4,6]
[1,1,2,4,6,4]=>[2,2,3,5,5,1]
[1,1,2,6,4,4]=>[2,2,3,5,1,5]
[1,1,4,2,4,6]=>[4,4,5,1,1,2]
[1,1,4,2,6,4]=>[4,4,5,1,1,3]
[1,1,4,4,2,6]=>[4,4,5,2,2,1]
[1,1,4,4,6,2]=>[2,2,3,1,1,6]
[1,1,4,6,2,4]=>[3,3,4,1,1,2]
[1,1,4,6,4,2]=>[3,3,4,2,2,1]
[1,1,6,2,4,4]=>[4,4,5,1,3,1]
[1,1,6,4,2,4]=>[3,3,4,1,2,1]
[1,1,6,4,4,2]=>[3,3,4,2,1,2]
[1,2,1,4,4,6]=>[1,1,2,3,3,6]
[1,2,1,4,6,4]=>[2,2,3,4,4,1]
[1,2,1,6,4,4]=>[2,2,3,4,1,4]
[1,2,4,1,4,6]=>[1,3,1,2,3,6]
[1,2,4,1,6,4]=>[2,4,2,3,4,1]
[1,2,4,4,1,6]=>[1,3,1,2,3,5]
[1,2,4,4,6,1]=>[1,3,5,3,2,1]
[1,2,4,6,1,4]=>[2,4,1,2,3,4]
[1,2,4,6,4,1]=>[1,3,6,3,2,1]
[1,2,6,1,4,4]=>[2,1,2,3,4,4]
[1,2,6,4,1,4]=>[2,1,4,2,3,4]
[1,2,6,4,4,1]=>[1,6,3,3,2,1]
[1,4,1,2,4,6]=>[4,1,4,5,1,2]
[1,4,1,2,6,4]=>[4,1,4,5,1,3]
[1,4,1,4,2,6]=>[4,2,4,5,2,1]
[1,4,1,4,6,2]=>[2,1,2,3,1,6]
[1,4,1,6,2,4]=>[3,1,3,4,1,2]
[1,4,1,6,4,2]=>[3,2,3,4,2,1]
[1,4,2,1,4,6]=>[1,4,1,2,4,6]
[1,4,2,1,6,4]=>[2,5,2,3,5,1]
[1,4,2,4,1,6]=>[1,4,1,2,4,5]
[1,4,2,4,6,1]=>[1,4,5,4,2,1]
[1,4,2,6,1,4]=>[2,5,1,2,3,5]
[1,4,2,6,4,1]=>[1,4,6,4,2,1]
[1,4,4,1,2,6]=>[3,1,3,4,1,6]
[1,4,4,1,6,2]=>[2,1,2,3,1,5]
[1,4,4,2,1,6]=>[1,5,1,2,5,4]
[1,4,4,2,6,1]=>[1,5,4,5,2,1]
[1,4,4,6,1,2]=>[2,1,5,1,2,3]
[1,4,4,6,2,1]=>[3,1,6,1,4,3]
[1,4,6,1,2,4]=>[3,1,2,3,4,1]
[1,4,6,1,4,2]=>[3,2,1,3,4,2]
[1,4,6,2,1,4]=>[4,1,3,4,5,1]
[1,4,6,2,4,1]=>[4,1,2,1,5,4]
[1,4,6,4,1,2]=>[2,1,6,1,2,3]
[1,4,6,4,2,1]=>[4,2,1,2,5,4]
[1,6,1,2,4,4]=>[4,3,4,5,1,1]
[1,6,1,4,2,4]=>[3,2,3,4,1,1]
[1,6,1,4,4,2]=>[3,1,3,4,2,2]
[1,6,2,1,4,4]=>[2,1,2,3,5,5]
[1,6,2,4,1,4]=>[2,1,5,2,3,5]
[1,6,2,4,4,1]=>[1,6,4,4,2,1]
[1,6,4,1,2,4]=>[3,2,1,3,4,1]
[1,6,4,1,4,2]=>[3,1,2,3,4,2]
[1,6,4,2,1,4]=>[4,3,1,4,5,1]
[1,6,4,2,4,1]=>[4,2,1,1,5,4]
[1,6,4,4,1,2]=>[2,6,1,1,2,3]
[1,6,4,4,2,1]=>[4,1,2,2,5,4]
[2,1,1,4,4,6]=>[1,1,3,2,2,6]
[2,1,1,4,6,4]=>[2,2,4,3,3,1]
[2,1,1,6,4,4]=>[2,2,4,3,1,3]
[2,1,4,1,4,6]=>[1,2,1,3,2,6]
[2,1,4,1,6,4]=>[2,3,2,4,3,1]
[2,1,4,4,1,6]=>[1,2,1,3,2,5]
[2,1,4,4,6,1]=>[1,2,5,2,3,1]
[2,1,4,6,1,4]=>[2,3,1,2,4,3]
[2,1,4,6,4,1]=>[1,2,6,2,3,1]
[2,1,6,1,4,4]=>[2,1,2,4,3,3]
[2,1,6,4,1,4]=>[2,1,3,2,4,3]
[2,1,6,4,4,1]=>[1,6,2,2,3,1]
[2,4,1,1,4,6]=>[1,2,1,4,2,6]
[2,4,1,1,6,4]=>[2,3,2,5,3,1]
[2,4,1,4,1,6]=>[1,2,1,4,2,5]
[2,4,1,4,6,1]=>[1,2,5,2,4,1]
[2,4,1,6,1,4]=>[2,3,1,2,5,3]
[2,4,1,6,4,1]=>[1,2,6,2,4,1]
[2,4,4,1,1,6]=>[1,2,1,5,2,4]
[2,4,4,1,6,1]=>[1,2,4,2,5,1]
[2,4,4,6,1,1]=>[1,2,4,2,6,1]
[2,4,6,1,1,4]=>[2,3,1,2,6,3]
[2,4,6,1,4,1]=>[1,2,6,2,5,1]
[2,4,6,4,1,1]=>[1,2,5,2,6,1]
[2,6,1,1,4,4]=>[2,1,2,5,3,3]
[2,6,1,4,1,4]=>[2,1,3,2,5,3]
[2,6,1,4,4,1]=>[1,6,2,2,4,1]
[2,6,4,1,1,4]=>[2,1,3,2,6,3]
[2,6,4,1,4,1]=>[1,6,2,2,5,1]
[2,6,4,4,1,1]=>[1,5,2,2,6,1]
[4,1,1,2,4,6]=>[4,1,4,6,1,2]
[4,1,1,2,6,4]=>[4,1,4,6,1,3]
[4,1,1,4,2,6]=>[4,2,4,6,2,1]
[4,1,1,4,6,2]=>[2,1,2,4,1,6]
[4,1,1,6,2,4]=>[3,1,3,5,1,2]
[4,1,1,6,4,2]=>[3,2,3,5,2,1]
[4,1,2,1,4,6]=>[1,4,1,3,4,6]
[4,1,2,1,6,4]=>[2,5,2,4,5,1]
[4,1,2,4,1,6]=>[1,4,1,3,4,5]
[4,1,2,4,6,1]=>[1,4,5,4,3,1]
[4,1,2,6,1,4]=>[2,5,1,2,4,5]
[4,1,2,6,4,1]=>[1,4,6,4,3,1]
[4,1,4,1,2,6]=>[3,1,3,5,1,6]
[4,1,4,1,6,2]=>[2,1,2,4,1,5]
[4,1,4,2,1,6]=>[1,5,1,3,5,4]
[4,1,4,2,6,1]=>[1,5,4,5,3,1]
[4,1,4,6,1,2]=>[2,1,5,1,2,4]
[4,1,4,6,2,1]=>[3,1,6,1,5,3]
[4,1,6,1,2,4]=>[3,1,2,3,5,1]
[4,1,6,1,4,2]=>[3,2,1,3,5,2]
[4,1,6,2,1,4]=>[4,1,3,4,6,1]
[4,1,6,2,4,1]=>[4,1,2,1,6,4]
[4,1,6,4,1,2]=>[2,1,6,1,2,4]
[4,1,6,4,2,1]=>[4,2,1,2,6,4]
[4,2,1,1,4,6]=>[1,3,1,4,3,6]
[4,2,1,1,6,4]=>[2,4,2,5,4,1]
[4,2,1,4,1,6]=>[1,3,1,4,3,5]
[4,2,1,4,6,1]=>[1,3,5,3,4,1]
[4,2,1,6,1,4]=>[2,4,1,2,5,4]
[4,2,1,6,4,1]=>[1,3,6,3,4,1]
[4,2,4,1,1,6]=>[1,3,1,5,3,4]
[4,2,4,1,6,1]=>[1,3,4,3,5,1]
[4,2,4,6,1,1]=>[1,3,4,3,6,1]
[4,2,6,1,1,4]=>[2,4,1,2,6,4]
[4,2,6,1,4,1]=>[1,3,6,3,5,1]
[4,2,6,4,1,1]=>[1,3,5,3,6,1]
[4,4,1,1,2,6]=>[3,1,3,6,1,5]
[4,4,1,1,6,2]=>[2,1,2,5,1,4]
[4,4,1,2,1,6]=>[1,5,1,4,5,3]
[4,4,1,2,6,1]=>[1,5,3,5,4,1]
[4,4,1,6,1,2]=>[2,1,4,1,2,5]
[4,4,1,6,2,1]=>[3,1,5,1,6,3]
[4,4,2,1,1,6]=>[1,4,1,5,4,3]
[4,4,2,1,6,1]=>[1,4,3,4,5,1]
[4,4,2,6,1,1]=>[1,4,3,4,6,1]
[4,4,6,1,1,2]=>[2,1,4,1,2,6]
[4,4,6,1,2,1]=>[4,2,6,2,1,4]
[4,4,6,2,1,1]=>[4,1,6,1,2,4]
[4,6,1,1,2,4]=>[3,1,2,3,6,1]
[4,6,1,1,4,2]=>[3,2,1,3,6,2]
[4,6,1,2,1,4]=>[5,2,4,5,1,2]
[4,6,1,2,4,1]=>[5,2,3,2,1,5]
[4,6,1,4,1,2]=>[2,1,6,1,2,5]
[4,6,1,4,2,1]=>[5,3,2,3,1,5]
[4,6,2,1,1,4]=>[5,1,4,5,2,1]
[4,6,2,1,4,1]=>[5,1,3,1,2,5]
[4,6,2,4,1,1]=>[5,1,2,1,3,5]
[4,6,4,1,1,2]=>[2,1,5,1,2,6]
[4,6,4,1,2,1]=>[5,3,1,3,2,5]
[4,6,4,2,1,1]=>[5,2,1,2,3,5]
[6,1,1,2,4,4]=>[4,3,4,6,1,1]
[6,1,1,4,2,4]=>[3,2,3,5,1,1]
[6,1,1,4,4,2]=>[3,1,3,5,2,2]
[6,1,2,1,4,4]=>[2,1,2,4,5,5]
[6,1,2,4,1,4]=>[2,1,5,2,4,5]
[6,1,2,4,4,1]=>[1,6,4,4,3,1]
[6,1,4,1,2,4]=>[3,2,1,3,5,1]
[6,1,4,1,4,2]=>[3,1,2,3,5,2]
[6,1,4,2,1,4]=>[4,3,1,4,6,1]
[6,1,4,2,4,1]=>[4,2,1,1,6,4]
[6,1,4,4,1,2]=>[2,6,1,1,2,4]
[6,1,4,4,2,1]=>[4,1,2,2,6,4]
[6,2,1,1,4,4]=>[2,1,2,5,4,4]
[6,2,1,4,1,4]=>[2,1,4,2,5,4]
[6,2,1,4,4,1]=>[1,6,3,3,4,1]
[6,2,4,1,1,4]=>[2,1,4,2,6,4]
[6,2,4,1,4,1]=>[1,6,3,3,5,1]
[6,2,4,4,1,1]=>[1,5,3,3,6,1]
[6,4,1,1,2,4]=>[3,2,1,3,6,1]
[6,4,1,1,4,2]=>[3,1,2,3,6,2]
[6,4,1,2,1,4]=>[5,4,2,5,1,2]
[6,4,1,2,4,1]=>[5,3,2,2,1,5]
[6,4,1,4,1,2]=>[2,6,1,1,2,5]
[6,4,1,4,2,1]=>[5,2,3,3,1,5]
[6,4,2,1,1,4]=>[5,4,1,5,2,1]
[6,4,2,1,4,1]=>[5,3,1,1,2,5]
[6,4,2,4,1,1]=>[5,2,1,1,3,5]
[6,4,4,1,1,2]=>[2,5,1,1,2,6]
[6,4,4,1,2,1]=>[5,1,3,3,2,5]
[6,4,4,2,1,1]=>[5,1,2,2,3,5]
[1,1,2,4,5,5]=>[1,1,2,4,5,5]
[1,1,2,5,4,5]=>[3,3,4,6,1,1]
[1,1,2,5,5,4]=>[2,2,3,5,1,1]
[1,1,4,2,5,5]=>[1,1,2,5,4,4]
[1,1,4,5,2,5]=>[1,1,2,6,4,4]
[1,1,4,5,5,2]=>[2,2,3,1,5,5]
[1,1,5,2,4,5]=>[4,4,5,1,2,2]
[1,1,5,2,5,4]=>[2,2,3,6,1,1]
[1,1,5,4,2,5]=>[4,4,5,2,1,1]
[1,1,5,4,5,2]=>[4,4,5,3,1,1]
[1,1,5,5,2,4]=>[3,3,4,1,2,2]
[1,1,5,5,4,2]=>[3,3,4,2,1,1]
[1,2,1,4,5,5]=>[1,1,2,3,5,5]
[1,2,1,5,4,5]=>[3,3,4,5,1,1]
[1,2,1,5,5,4]=>[2,2,3,4,1,1]
[1,2,4,1,5,5]=>[1,1,2,3,4,4]
[1,2,4,5,1,5]=>[1,4,1,2,3,4]
[1,2,4,5,5,1]=>[1,4,4,3,2,1]
[1,2,5,1,4,5]=>[3,1,3,4,5,1]
[1,2,5,1,5,4]=>[2,1,2,3,4,1]
[1,2,5,4,1,5]=>[1,5,1,2,3,5]
[1,2,5,4,5,1]=>[1,5,5,3,2,1]
[1,2,5,5,1,4]=>[2,1,1,2,3,4]
[1,2,5,5,4,1]=>[3,1,1,5,4,3]
[1,4,1,2,5,5]=>[1,1,2,5,3,3]
[1,4,1,5,2,5]=>[1,1,2,6,3,3]
[1,4,1,5,5,2]=>[2,2,3,1,4,4]
[1,4,2,1,5,5]=>[1,1,2,4,3,3]
[1,4,2,5,1,5]=>[1,3,1,2,4,3]
[1,4,2,5,5,1]=>[1,3,3,4,2,1]
[1,4,5,1,2,5]=>[1,3,1,2,6,3]
[1,4,5,1,5,2]=>[2,4,2,3,1,4]
[1,4,5,2,1,5]=>[1,3,1,2,5,3]
[1,4,5,2,5,1]=>[1,3,3,5,2,1]
[1,4,5,5,1,2]=>[2,4,4,1,2,3]
[1,4,5,5,2,1]=>[1,3,3,6,2,1]
[1,5,1,2,4,5]=>[4,2,4,5,1,2]
[1,5,1,2,5,4]=>[2,1,2,3,6,1]
[1,5,1,4,2,5]=>[4,1,4,5,2,1]
[1,5,1,4,5,2]=>[4,1,4,5,3,1]
[1,5,1,5,2,4]=>[3,2,3,4,1,2]
[1,5,1,5,4,2]=>[3,1,3,4,2,1]
[1,5,2,1,4,5]=>[3,1,3,4,6,1]
[1,5,2,1,5,4]=>[2,1,2,3,5,1]
[1,5,2,4,1,5]=>[1,5,1,2,4,5]
[1,5,2,4,5,1]=>[1,5,5,4,2,1]
[1,5,2,5,1,4]=>[2,1,1,2,3,5]
[1,5,2,5,4,1]=>[3,1,1,6,4,3]
[1,5,4,1,2,5]=>[1,4,1,2,6,4]
[1,5,4,1,5,2]=>[2,5,2,3,1,5]
[1,5,4,2,1,5]=>[1,4,1,2,5,4]
[1,5,4,2,5,1]=>[1,4,4,5,2,1]
[1,5,4,5,1,2]=>[2,5,5,1,2,3]
[1,5,4,5,2,1]=>[1,4,4,6,2,1]
[1,5,5,1,2,4]=>[3,2,2,3,4,1]
[1,5,5,1,4,2]=>[3,1,1,3,4,2]
[1,5,5,2,1,4]=>[2,1,1,2,3,6]
[1,5,5,2,4,1]=>[4,2,2,1,5,4]
[1,5,5,4,1,2]=>[4,1,1,3,4,5]
[1,5,5,4,2,1]=>[4,1,1,2,5,4]
[2,1,1,4,5,5]=>[1,1,3,2,5,5]
[2,1,1,5,4,5]=>[3,3,5,4,1,1]
[2,1,1,5,5,4]=>[2,2,4,3,1,1]
[2,1,4,1,5,5]=>[1,1,3,2,4,4]
[2,1,4,5,1,5]=>[1,4,1,3,2,4]
[2,1,4,5,5,1]=>[1,4,4,2,3,1]
[2,1,5,1,4,5]=>[3,1,3,5,4,1]
[2,1,5,1,5,4]=>[2,1,2,4,3,1]
[2,1,5,4,1,5]=>[1,5,1,3,2,5]
[2,1,5,4,5,1]=>[1,5,5,2,3,1]
[2,1,5,5,1,4]=>[2,1,1,2,4,3]
[2,1,5,5,4,1]=>[3,1,1,4,5,3]
[2,4,1,1,5,5]=>[1,1,4,2,3,3]
[2,4,1,5,1,5]=>[1,3,1,4,2,3]
[2,4,1,5,5,1]=>[1,3,3,2,4,1]
[2,4,5,1,1,5]=>[1,3,1,5,2,3]
[2,4,5,1,5,1]=>[1,3,3,2,5,1]
[2,4,5,5,1,1]=>[1,3,3,2,6,1]
[2,5,1,1,4,5]=>[3,1,3,6,4,1]
[2,5,1,1,5,4]=>[2,1,2,5,3,1]
[2,5,1,4,1,5]=>[1,5,1,4,2,5]
[2,5,1,4,5,1]=>[1,5,5,2,4,1]
[2,5,1,5,1,4]=>[2,1,1,2,5,3]
[2,5,1,5,4,1]=>[3,1,1,4,6,3]
[2,5,4,1,1,5]=>[1,4,1,5,2,4]
[2,5,4,1,5,1]=>[1,4,4,2,5,1]
[2,5,4,5,1,1]=>[1,4,4,2,6,1]
[2,5,5,1,1,4]=>[2,1,1,2,6,3]
[2,5,5,1,4,1]=>[4,2,2,5,1,4]
[2,5,5,4,1,1]=>[4,1,1,5,2,4]
[4,1,1,2,5,5]=>[1,1,3,5,2,2]
[4,1,1,5,2,5]=>[1,1,3,6,2,2]
[4,1,1,5,5,2]=>[2,2,4,1,3,3]
[4,1,2,1,5,5]=>[1,1,3,4,2,2]
[4,1,2,5,1,5]=>[1,2,1,3,4,2]
[4,1,2,5,5,1]=>[1,2,2,4,3,1]
[4,1,5,1,2,5]=>[1,2,1,3,6,2]
[4,1,5,1,5,2]=>[2,3,2,4,1,3]
[4,1,5,2,1,5]=>[1,2,1,3,5,2]
[4,1,5,2,5,1]=>[1,2,2,5,3,1]
[4,1,5,5,1,2]=>[2,3,3,1,2,4]
[4,1,5,5,2,1]=>[1,2,2,6,3,1]
[4,2,1,1,5,5]=>[1,1,4,3,2,2]
[4,2,1,5,1,5]=>[1,2,1,4,3,2]
[4,2,1,5,5,1]=>[1,2,2,3,4,1]
[4,2,5,1,1,5]=>[1,2,1,5,3,2]
[4,2,5,1,5,1]=>[1,2,2,3,5,1]
[4,2,5,5,1,1]=>[1,2,2,3,6,1]
[4,5,1,1,2,5]=>[1,2,1,4,6,2]
[4,5,1,1,5,2]=>[2,3,2,5,1,3]
[4,5,1,2,1,5]=>[1,2,1,4,5,2]
[4,5,1,2,5,1]=>[1,2,2,5,4,1]
[4,5,1,5,1,2]=>[2,3,3,1,2,5]
[4,5,1,5,2,1]=>[1,2,2,6,4,1]
[4,5,2,1,1,5]=>[1,2,1,5,4,2]
[4,5,2,1,5,1]=>[1,2,2,4,5,1]
[4,5,2,5,1,1]=>[1,2,2,4,6,1]
[4,5,5,1,1,2]=>[2,3,3,1,2,6]
[4,5,5,1,2,1]=>[1,2,2,6,5,1]
[4,5,5,2,1,1]=>[1,2,2,5,6,1]
[5,1,1,2,4,5]=>[4,2,4,6,1,2]
[5,1,1,2,5,4]=>[2,1,2,4,6,1]
[5,1,1,4,2,5]=>[4,1,4,6,2,1]
[5,1,1,4,5,2]=>[4,1,4,6,3,1]
[5,1,1,5,2,4]=>[3,2,3,5,1,2]
[5,1,1,5,4,2]=>[3,1,3,5,2,1]
[5,1,2,1,4,5]=>[3,1,3,5,6,1]
[5,1,2,1,5,4]=>[2,1,2,4,5,1]
[5,1,2,4,1,5]=>[1,5,1,3,4,5]
[5,1,2,4,5,1]=>[1,5,5,4,3,1]
[5,1,2,5,1,4]=>[2,1,1,2,4,5]
[5,1,2,5,4,1]=>[3,1,1,6,5,3]
[5,1,4,1,2,5]=>[1,4,1,3,6,4]
[5,1,4,1,5,2]=>[2,5,2,4,1,5]
[5,1,4,2,1,5]=>[1,4,1,3,5,4]
[5,1,4,2,5,1]=>[1,4,4,5,3,1]
[5,1,4,5,1,2]=>[2,5,5,1,2,4]
[5,1,4,5,2,1]=>[1,4,4,6,3,1]
[5,1,5,1,2,4]=>[3,2,2,3,5,1]
[5,1,5,1,4,2]=>[3,1,1,3,5,2]
[5,1,5,2,1,4]=>[2,1,1,2,4,6]
[5,1,5,2,4,1]=>[4,2,2,1,6,4]
[5,1,5,4,1,2]=>[4,1,1,3,4,6]
[5,1,5,4,2,1]=>[4,1,1,2,6,4]
[5,2,1,1,4,5]=>[3,1,3,6,5,1]
[5,2,1,1,5,4]=>[2,1,2,5,4,1]
[5,2,1,4,1,5]=>[1,5,1,4,3,5]
[5,2,1,4,5,1]=>[1,5,5,3,4,1]
[5,2,1,5,1,4]=>[2,1,1,2,5,4]
[5,2,1,5,4,1]=>[3,1,1,5,6,3]
[5,2,4,1,1,5]=>[1,4,1,5,3,4]
[5,2,4,1,5,1]=>[1,4,4,3,5,1]
[5,2,4,5,1,1]=>[1,4,4,3,6,1]
[5,2,5,1,1,4]=>[2,1,1,2,6,4]
[5,2,5,1,4,1]=>[4,2,2,6,1,4]
[5,2,5,4,1,1]=>[4,1,1,6,2,4]
[5,4,1,1,2,5]=>[1,3,1,4,6,3]
[5,4,1,1,5,2]=>[2,4,2,5,1,4]
[5,4,1,2,1,5]=>[1,3,1,4,5,3]
[5,4,1,2,5,1]=>[1,3,3,5,4,1]
[5,4,1,5,1,2]=>[2,4,4,1,2,5]
[5,4,1,5,2,1]=>[1,3,3,6,4,1]
[5,4,2,1,1,5]=>[1,3,1,5,4,3]
[5,4,2,1,5,1]=>[1,3,3,4,5,1]
[5,4,2,5,1,1]=>[1,3,3,4,6,1]
[5,4,5,1,1,2]=>[2,4,4,1,2,6]
[5,4,5,1,2,1]=>[1,3,3,6,5,1]
[5,4,5,2,1,1]=>[1,3,3,5,6,1]
[5,5,1,1,2,4]=>[3,2,2,3,6,1]
[5,5,1,1,4,2]=>[3,1,1,3,6,2]
[5,5,1,2,1,4]=>[2,1,1,2,5,6]
[5,5,1,2,4,1]=>[5,3,3,2,1,5]
[5,5,1,4,1,2]=>[5,2,2,4,5,1]
[5,5,1,4,2,1]=>[5,2,2,3,1,5]
[5,5,2,1,1,4]=>[2,1,1,2,6,5]
[5,5,2,1,4,1]=>[5,3,3,1,2,5]
[5,5,2,4,1,1]=>[5,2,2,1,3,5]
[5,5,4,1,1,2]=>[5,1,1,4,5,2]
[5,5,4,1,2,1]=>[5,1,1,3,2,5]
[5,5,4,2,1,1]=>[5,1,1,2,3,5]
[1,1,2,4,5,6]=>[1,1,2,4,5,6]
[1,1,2,4,6,5]=>[2,2,3,5,6,1]
[1,1,2,5,4,6]=>[1,1,2,4,6,5]
[1,1,2,5,6,4]=>[2,2,3,5,1,6]
[1,1,2,6,4,5]=>[3,3,4,6,1,2]
[1,1,2,6,5,4]=>[3,3,4,6,2,1]
[1,1,4,2,5,6]=>[1,1,2,5,4,6]
[1,1,4,2,6,5]=>[2,2,3,6,5,1]
[1,1,4,5,2,6]=>[1,1,2,6,4,5]
[1,1,4,5,6,2]=>[2,2,3,1,6,5]
[1,1,4,6,2,5]=>[3,3,4,1,2,6]
[1,1,4,6,5,2]=>[3,3,4,2,1,6]
[1,1,5,2,4,6]=>[1,1,2,5,6,4]
[1,1,5,2,6,4]=>[2,2,3,6,1,5]
[1,1,5,4,2,6]=>[1,1,2,6,5,4]
[1,1,5,4,6,2]=>[2,2,3,1,5,6]
[1,1,5,6,2,4]=>[3,3,4,1,6,2]
[1,1,5,6,4,2]=>[3,3,4,2,6,1]
[1,1,6,2,4,5]=>[4,4,5,1,3,2]
[1,1,6,2,5,4]=>[4,4,5,1,2,3]
[1,1,6,4,2,5]=>[4,4,5,2,3,1]
[1,1,6,4,5,2]=>[4,4,5,3,2,1]
[1,1,6,5,2,4]=>[4,4,5,2,1,3]
[1,1,6,5,4,2]=>[4,4,5,3,1,2]
[1,2,1,4,5,6]=>[1,1,2,3,5,6]
[1,2,1,4,6,5]=>[2,2,3,4,6,1]
[1,2,1,5,4,6]=>[1,1,2,3,6,5]
[1,2,1,5,6,4]=>[2,2,3,4,1,6]
[1,2,1,6,4,5]=>[3,3,4,5,1,2]
[1,2,1,6,5,4]=>[3,3,4,5,2,1]
[1,2,4,1,5,6]=>[1,1,2,3,4,6]
[1,2,4,1,6,5]=>[2,2,3,4,5,1]
[1,2,4,5,1,6]=>[1,1,2,3,4,5]
[1,2,4,5,6,1]=>[1,5,4,3,2,1]
[1,2,4,6,1,5]=>[2,1,2,3,4,5]
[1,2,4,6,5,1]=>[1,6,4,3,2,1]
[1,2,5,1,4,6]=>[1,1,2,3,6,4]
[1,2,5,1,6,4]=>[2,2,3,4,1,5]
[1,2,5,4,1,6]=>[1,1,2,3,5,4]
[1,2,5,4,6,1]=>[1,4,5,3,2,1]
[1,2,5,6,1,4]=>[2,5,1,2,3,4]
[1,2,5,6,4,1]=>[1,4,6,3,2,1]
[1,2,6,1,4,5]=>[3,2,3,4,5,1]
[1,2,6,1,5,4]=>[3,1,3,4,5,2]
[1,2,6,4,1,5]=>[2,1,2,3,4,6]
[1,2,6,4,5,1]=>[1,6,5,3,2,1]
[1,2,6,5,1,4]=>[2,6,1,2,3,4]
[1,2,6,5,4,1]=>[1,5,6,3,2,1]
[1,4,1,2,5,6]=>[1,1,2,5,3,6]
[1,4,1,2,6,5]=>[2,2,3,6,4,1]
[1,4,1,5,2,6]=>[1,1,2,6,3,5]
[1,4,1,5,6,2]=>[2,2,3,1,6,4]
[1,4,1,6,2,5]=>[3,3,4,1,2,5]
[1,4,1,6,5,2]=>[3,3,4,2,1,5]
[1,4,2,1,5,6]=>[1,1,2,4,3,6]
[1,4,2,1,6,5]=>[2,2,3,5,4,1]
[1,4,2,5,1,6]=>[1,1,2,4,3,5]
[1,4,2,5,6,1]=>[1,5,3,4,2,1]
[1,4,2,6,1,5]=>[2,1,2,3,5,4]
[1,4,2,6,5,1]=>[1,6,3,4,2,1]
[1,4,5,1,2,6]=>[1,1,2,6,3,4]
[1,4,5,1,6,2]=>[2,2,3,1,5,4]
[1,4,5,2,1,6]=>[1,1,2,5,3,4]
[1,4,5,2,6,1]=>[1,4,3,5,2,1]
[1,4,5,6,1,2]=>[2,5,4,1,2,3]
[1,4,5,6,2,1]=>[1,4,3,6,2,1]
[1,4,6,1,2,5]=>[3,2,3,4,1,5]
[1,4,6,1,5,2]=>[3,1,3,4,2,5]
[1,4,6,2,1,5]=>[2,1,2,3,6,4]
[1,4,6,2,5,1]=>[1,6,3,5,2,1]
[1,4,6,5,1,2]=>[2,6,4,1,2,3]
[1,4,6,5,2,1]=>[1,5,3,6,2,1]
[1,5,1,2,4,6]=>[1,1,2,5,6,3]
[1,5,1,2,6,4]=>[2,2,3,6,1,4]
[1,5,1,4,2,6]=>[1,1,2,6,5,3]
[1,5,1,4,6,2]=>[2,2,3,1,4,6]
[1,5,1,6,2,4]=>[3,3,4,1,5,2]
[1,5,1,6,4,2]=>[3,3,4,2,5,1]
[1,5,2,1,4,6]=>[1,1,2,4,6,3]
[1,5,2,1,6,4]=>[2,2,3,5,1,4]
[1,5,2,4,1,6]=>[1,1,2,4,5,3]
[1,5,2,4,6,1]=>[1,3,5,4,2,1]
[1,5,2,6,1,4]=>[2,4,1,2,3,5]
[1,5,2,6,4,1]=>[1,3,6,4,2,1]
[1,5,4,1,2,6]=>[1,1,2,6,4,3]
[1,5,4,1,6,2]=>[2,2,3,1,4,5]
[1,5,4,2,1,6]=>[1,1,2,5,4,3]
[1,5,4,2,6,1]=>[1,3,4,5,2,1]
[1,5,4,6,1,2]=>[2,4,5,1,2,3]
[1,5,4,6,2,1]=>[1,3,4,6,2,1]
[1,5,6,1,2,4]=>[3,5,2,3,4,1]
[1,5,6,1,4,2]=>[3,5,1,3,4,2]
[1,5,6,2,1,4]=>[2,4,1,2,3,6]
[1,5,6,2,4,1]=>[1,3,6,5,2,1]
[1,5,6,4,1,2]=>[2,4,6,1,2,3]
[1,5,6,4,2,1]=>[1,3,5,6,2,1]
[1,6,1,2,4,5]=>[4,3,4,5,1,2]
[1,6,1,2,5,4]=>[4,2,4,5,1,3]
[1,6,1,4,2,5]=>[4,3,4,5,2,1]
[1,6,1,4,5,2]=>[4,2,4,5,3,1]
[1,6,1,5,2,4]=>[4,1,4,5,2,3]
[1,6,1,5,4,2]=>[4,1,4,5,3,2]
[1,6,2,1,4,5]=>[3,2,3,4,6,1]
[1,6,2,1,5,4]=>[3,1,3,4,6,2]
[1,6,2,4,1,5]=>[2,1,2,3,5,6]
[1,6,2,4,5,1]=>[1,6,5,4,2,1]
[1,6,2,5,1,4]=>[2,6,1,2,3,5]
[1,6,2,5,4,1]=>[1,5,6,4,2,1]
[1,6,4,1,2,5]=>[3,2,3,4,1,6]
[1,6,4,1,5,2]=>[3,1,3,4,2,6]
[1,6,4,2,1,5]=>[2,1,2,3,6,5]
[1,6,4,2,5,1]=>[1,6,4,5,2,1]
[1,6,4,5,1,2]=>[2,6,5,1,2,3]
[1,6,4,5,2,1]=>[1,5,4,6,2,1]
[1,6,5,1,2,4]=>[3,6,2,3,4,1]
[1,6,5,1,4,2]=>[3,6,1,3,4,2]
[1,6,5,2,1,4]=>[2,5,1,2,3,6]
[1,6,5,2,4,1]=>[1,4,6,5,2,1]
[1,6,5,4,1,2]=>[2,5,6,1,2,3]
[1,6,5,4,2,1]=>[1,4,5,6,2,1]
[2,1,1,4,5,6]=>[1,1,3,2,5,6]
[2,1,1,4,6,5]=>[2,2,4,3,6,1]
[2,1,1,5,4,6]=>[1,1,3,2,6,5]
[2,1,1,5,6,4]=>[2,2,4,3,1,6]
[2,1,1,6,4,5]=>[3,3,5,4,1,2]
[2,1,1,6,5,4]=>[3,3,5,4,2,1]
[2,1,4,1,5,6]=>[1,1,3,2,4,6]
[2,1,4,1,6,5]=>[2,2,4,3,5,1]
[2,1,4,5,1,6]=>[1,1,3,2,4,5]
[2,1,4,5,6,1]=>[1,5,4,2,3,1]
[2,1,4,6,1,5]=>[2,1,2,4,3,5]
[2,1,4,6,5,1]=>[1,6,4,2,3,1]
[2,1,5,1,4,6]=>[1,1,3,2,6,4]
[2,1,5,1,6,4]=>[2,2,4,3,1,5]
[2,1,5,4,1,6]=>[1,1,3,2,5,4]
[2,1,5,4,6,1]=>[1,4,5,2,3,1]
[2,1,5,6,1,4]=>[2,5,1,2,4,3]
[2,1,5,6,4,1]=>[1,4,6,2,3,1]
[2,1,6,1,4,5]=>[3,2,3,5,4,1]
[2,1,6,1,5,4]=>[3,1,3,5,4,2]
[2,1,6,4,1,5]=>[2,1,2,4,3,6]
[2,1,6,4,5,1]=>[1,6,5,2,3,1]
[2,1,6,5,1,4]=>[2,6,1,2,4,3]
[2,1,6,5,4,1]=>[1,5,6,2,3,1]
[2,4,1,1,5,6]=>[1,1,4,2,3,6]
[2,4,1,1,6,5]=>[2,2,5,3,4,1]
[2,4,1,5,1,6]=>[1,1,4,2,3,5]
[2,4,1,5,6,1]=>[1,5,3,2,4,1]
[2,4,1,6,1,5]=>[2,1,2,5,3,4]
[2,4,1,6,5,1]=>[1,6,3,2,4,1]
[2,4,5,1,1,6]=>[1,1,5,2,3,4]
[2,4,5,1,6,1]=>[1,4,3,2,5,1]
[2,4,5,6,1,1]=>[1,4,3,2,6,1]
[2,4,6,1,1,5]=>[2,1,2,6,3,4]
[2,4,6,1,5,1]=>[1,6,3,2,5,1]
[2,4,6,5,1,1]=>[1,5,3,2,6,1]
[2,5,1,1,4,6]=>[1,1,4,2,6,3]
[2,5,1,1,6,4]=>[2,2,5,3,1,4]
[2,5,1,4,1,6]=>[1,1,4,2,5,3]
[2,5,1,4,6,1]=>[1,3,5,2,4,1]
[2,5,1,6,1,4]=>[2,4,1,2,5,3]
[2,5,1,6,4,1]=>[1,3,6,2,4,1]
[2,5,4,1,1,6]=>[1,1,5,2,4,3]
[2,5,4,1,6,1]=>[1,3,4,2,5,1]
[2,5,4,6,1,1]=>[1,3,4,2,6,1]
[2,5,6,1,1,4]=>[2,4,1,2,6,3]
[2,5,6,1,4,1]=>[1,3,6,2,5,1]
[2,5,6,4,1,1]=>[1,3,5,2,6,1]
[2,6,1,1,4,5]=>[3,2,3,6,4,1]
[2,6,1,1,5,4]=>[3,1,3,6,4,2]
[2,6,1,4,1,5]=>[2,1,2,5,3,6]
[2,6,1,4,5,1]=>[1,6,5,2,4,1]
[2,6,1,5,1,4]=>[2,6,1,2,5,3]
[2,6,1,5,4,1]=>[1,5,6,2,4,1]
[2,6,4,1,1,5]=>[2,1,2,6,3,5]
[2,6,4,1,5,1]=>[1,6,4,2,5,1]
[2,6,4,5,1,1]=>[1,5,4,2,6,1]
[2,6,5,1,1,4]=>[2,5,1,2,6,3]
[2,6,5,1,4,1]=>[1,4,6,2,5,1]
[2,6,5,4,1,1]=>[1,4,5,2,6,1]
[4,1,1,2,5,6]=>[1,1,3,5,2,6]
[4,1,1,2,6,5]=>[2,2,4,6,3,1]
[4,1,1,5,2,6]=>[1,1,3,6,2,5]
[4,1,1,5,6,2]=>[2,2,4,1,6,3]
[4,1,1,6,2,5]=>[3,3,5,1,2,4]
[4,1,1,6,5,2]=>[3,3,5,2,1,4]
[4,1,2,1,5,6]=>[1,1,3,4,2,6]
[4,1,2,1,6,5]=>[2,2,4,5,3,1]
[4,1,2,5,1,6]=>[1,1,3,4,2,5]
[4,1,2,5,6,1]=>[1,5,2,4,3,1]
[4,1,2,6,1,5]=>[2,1,2,4,5,3]
[4,1,2,6,5,1]=>[1,6,2,4,3,1]
[4,1,5,1,2,6]=>[1,1,3,6,2,4]
[4,1,5,1,6,2]=>[2,2,4,1,5,3]
[4,1,5,2,1,6]=>[1,1,3,5,2,4]
[4,1,5,2,6,1]=>[1,4,2,5,3,1]
[4,1,5,6,1,2]=>[2,5,3,1,2,4]
[4,1,5,6,2,1]=>[1,4,2,6,3,1]
[4,1,6,1,2,5]=>[3,2,3,5,1,4]
[4,1,6,1,5,2]=>[3,1,3,5,2,4]
[4,1,6,2,1,5]=>[2,1,2,4,6,3]
[4,1,6,2,5,1]=>[1,6,2,5,3,1]
[4,1,6,5,1,2]=>[2,6,3,1,2,4]
[4,1,6,5,2,1]=>[1,5,2,6,3,1]
[4,2,1,1,5,6]=>[1,1,4,3,2,6]
[4,2,1,1,6,5]=>[2,2,5,4,3,1]
[4,2,1,5,1,6]=>[1,1,4,3,2,5]
[4,2,1,5,6,1]=>[1,5,2,3,4,1]
[4,2,1,6,1,5]=>[2,1,2,5,4,3]
[4,2,1,6,5,1]=>[1,6,2,3,4,1]
[4,2,5,1,1,6]=>[1,1,5,3,2,4]
[4,2,5,1,6,1]=>[1,4,2,3,5,1]
[4,2,5,6,1,1]=>[1,4,2,3,6,1]
[4,2,6,1,1,5]=>[2,1,2,6,4,3]
[4,2,6,1,5,1]=>[1,6,2,3,5,1]
[4,2,6,5,1,1]=>[1,5,2,3,6,1]
[4,5,1,1,2,6]=>[1,1,4,6,2,3]
[4,5,1,1,6,2]=>[2,2,5,1,4,3]
[4,5,1,2,1,6]=>[1,1,4,5,2,3]
[4,5,1,2,6,1]=>[1,3,2,5,4,1]
[4,5,1,6,1,2]=>[2,4,3,1,2,5]
[4,5,1,6,2,1]=>[1,3,2,6,4,1]
[4,5,2,1,1,6]=>[1,1,5,4,2,3]
[4,5,2,1,6,1]=>[1,3,2,4,5,1]
[4,5,2,6,1,1]=>[1,3,2,4,6,1]
[4,5,6,1,1,2]=>[2,4,3,1,2,6]
[4,5,6,1,2,1]=>[1,3,2,6,5,1]
[4,5,6,2,1,1]=>[1,3,2,5,6,1]
[4,6,1,1,2,5]=>[3,2,3,6,1,4]
[4,6,1,1,5,2]=>[3,1,3,6,2,4]
[4,6,1,2,1,5]=>[2,1,2,5,6,3]
[4,6,1,2,5,1]=>[1,6,2,5,4,1]
[4,6,1,5,1,2]=>[2,6,3,1,2,5]
[4,6,1,5,2,1]=>[1,5,2,6,4,1]
[4,6,2,1,1,5]=>[2,1,2,6,5,3]
[4,6,2,1,5,1]=>[1,6,2,4,5,1]
[4,6,2,5,1,1]=>[1,5,2,4,6,1]
[4,6,5,1,1,2]=>[2,5,3,1,2,6]
[4,6,5,1,2,1]=>[1,4,2,6,5,1]
[4,6,5,2,1,1]=>[1,4,2,5,6,1]
[5,1,1,2,4,6]=>[1,1,3,5,6,2]
[5,1,1,2,6,4]=>[2,2,4,6,1,3]
[5,1,1,4,2,6]=>[1,1,3,6,5,2]
[5,1,1,4,6,2]=>[2,2,4,1,3,6]
[5,1,1,6,2,4]=>[3,3,5,1,4,2]
[5,1,1,6,4,2]=>[3,3,5,2,4,1]
[5,1,2,1,4,6]=>[1,1,3,4,6,2]
[5,1,2,1,6,4]=>[2,2,4,5,1,3]
[5,1,2,4,1,6]=>[1,1,3,4,5,2]
[5,1,2,4,6,1]=>[1,2,5,4,3,1]
[5,1,2,6,1,4]=>[2,3,1,2,4,5]
[5,1,2,6,4,1]=>[1,2,6,4,3,1]
[5,1,4,1,2,6]=>[1,1,3,6,4,2]
[5,1,4,1,6,2]=>[2,2,4,1,3,5]
[5,1,4,2,1,6]=>[1,1,3,5,4,2]
[5,1,4,2,6,1]=>[1,2,4,5,3,1]
[5,1,4,6,1,2]=>[2,3,5,1,2,4]
[5,1,4,6,2,1]=>[1,2,4,6,3,1]
[5,1,6,1,2,4]=>[3,4,2,3,5,1]
[5,1,6,1,4,2]=>[3,4,1,3,5,2]
[5,1,6,2,1,4]=>[2,3,1,2,4,6]
[5,1,6,2,4,1]=>[1,2,6,5,3,1]
[5,1,6,4,1,2]=>[2,3,6,1,2,4]
[5,1,6,4,2,1]=>[1,2,5,6,3,1]
[5,2,1,1,4,6]=>[1,1,4,3,6,2]
[5,2,1,1,6,4]=>[2,2,5,4,1,3]
[5,2,1,4,1,6]=>[1,1,4,3,5,2]
[5,2,1,4,6,1]=>[1,2,5,3,4,1]
[5,2,1,6,1,4]=>[2,3,1,2,5,4]
[5,2,1,6,4,1]=>[1,2,6,3,4,1]
[5,2,4,1,1,6]=>[1,1,5,3,4,2]
[5,2,4,1,6,1]=>[1,2,4,3,5,1]
[5,2,4,6,1,1]=>[1,2,4,3,6,1]
[5,2,6,1,1,4]=>[2,3,1,2,6,4]
[5,2,6,1,4,1]=>[1,2,6,3,5,1]
[5,2,6,4,1,1]=>[1,2,5,3,6,1]
[5,4,1,1,2,6]=>[1,1,4,6,3,2]
[5,4,1,1,6,2]=>[2,2,5,1,3,4]
[5,4,1,2,1,6]=>[1,1,4,5,3,2]
[5,4,1,2,6,1]=>[1,2,3,5,4,1]
[5,4,1,6,1,2]=>[2,3,4,1,2,5]
[5,4,1,6,2,1]=>[1,2,3,6,4,1]
[5,4,2,1,1,6]=>[1,1,5,4,3,2]
[5,4,2,1,6,1]=>[1,2,3,4,5,1]
[5,4,2,6,1,1]=>[1,2,3,4,6,1]
[5,4,6,1,1,2]=>[2,3,4,1,2,6]
[5,4,6,1,2,1]=>[1,2,3,6,5,1]
[5,4,6,2,1,1]=>[1,2,3,5,6,1]
[5,6,1,1,2,4]=>[3,4,2,3,6,1]
[5,6,1,1,4,2]=>[3,4,1,3,6,2]
[5,6,1,2,1,4]=>[2,3,1,2,5,6]
[5,6,1,2,4,1]=>[1,2,6,5,4,1]
[5,6,1,4,1,2]=>[2,3,6,1,2,5]
[5,6,1,4,2,1]=>[1,2,5,6,4,1]
[5,6,2,1,1,4]=>[2,3,1,2,6,5]
[5,6,2,1,4,1]=>[1,2,6,4,5,1]
[5,6,2,4,1,1]=>[1,2,5,4,6,1]
[5,6,4,1,1,2]=>[2,3,5,1,2,6]
[5,6,4,1,2,1]=>[1,2,4,6,5,1]
[5,6,4,2,1,1]=>[1,2,4,5,6,1]
[6,1,1,2,4,5]=>[4,3,4,6,1,2]
[6,1,1,2,5,4]=>[4,2,4,6,1,3]
[6,1,1,4,2,5]=>[4,3,4,6,2,1]
[6,1,1,4,5,2]=>[4,2,4,6,3,1]
[6,1,1,5,2,4]=>[4,1,4,6,2,3]
[6,1,1,5,4,2]=>[4,1,4,6,3,2]
[6,1,2,1,4,5]=>[3,2,3,5,6,1]
[6,1,2,1,5,4]=>[3,1,3,5,6,2]
[6,1,2,4,1,5]=>[2,1,2,4,5,6]
[6,1,2,4,5,1]=>[1,6,5,4,3,1]
[6,1,2,5,1,4]=>[2,6,1,2,4,5]
[6,1,2,5,4,1]=>[1,5,6,4,3,1]
[6,1,4,1,2,5]=>[3,2,3,5,1,6]
[6,1,4,1,5,2]=>[3,1,3,5,2,6]
[6,1,4,2,1,5]=>[2,1,2,4,6,5]
[6,1,4,2,5,1]=>[1,6,4,5,3,1]
[6,1,4,5,1,2]=>[2,6,5,1,2,4]
[6,1,4,5,2,1]=>[1,5,4,6,3,1]
[6,1,5,1,2,4]=>[3,6,2,3,5,1]
[6,1,5,1,4,2]=>[3,6,1,3,5,2]
[6,1,5,2,1,4]=>[2,5,1,2,4,6]
[6,1,5,2,4,1]=>[1,4,6,5,3,1]
[6,1,5,4,1,2]=>[2,5,6,1,2,4]
[6,1,5,4,2,1]=>[1,4,5,6,3,1]
[6,2,1,1,4,5]=>[3,2,3,6,5,1]
[6,2,1,1,5,4]=>[3,1,3,6,5,2]
[6,2,1,4,1,5]=>[2,1,2,5,4,6]
[6,2,1,4,5,1]=>[1,6,5,3,4,1]
[6,2,1,5,1,4]=>[2,6,1,2,5,4]
[6,2,1,5,4,1]=>[1,5,6,3,4,1]
[6,2,4,1,1,5]=>[2,1,2,6,4,5]
[6,2,4,1,5,1]=>[1,6,4,3,5,1]
[6,2,4,5,1,1]=>[1,5,4,3,6,1]
[6,2,5,1,1,4]=>[2,5,1,2,6,4]
[6,2,5,1,4,1]=>[1,4,6,3,5,1]
[6,2,5,4,1,1]=>[1,4,5,3,6,1]
[6,4,1,1,2,5]=>[3,2,3,6,1,5]
[6,4,1,1,5,2]=>[3,1,3,6,2,5]
[6,4,1,2,1,5]=>[2,1,2,5,6,4]
[6,4,1,2,5,1]=>[1,6,3,5,4,1]
[6,4,1,5,1,2]=>[2,6,4,1,2,5]
[6,4,1,5,2,1]=>[1,5,3,6,4,1]
[6,4,2,1,1,5]=>[2,1,2,6,5,4]
[6,4,2,1,5,1]=>[1,6,3,4,5,1]
[6,4,2,5,1,1]=>[1,5,3,4,6,1]
[6,4,5,1,1,2]=>[2,5,4,1,2,6]
[6,4,5,1,2,1]=>[1,4,3,6,5,1]
[6,4,5,2,1,1]=>[1,4,3,5,6,1]
[6,5,1,1,2,4]=>[3,5,2,3,6,1]
[6,5,1,1,4,2]=>[3,5,1,3,6,2]
[6,5,1,2,1,4]=>[2,4,1,2,5,6]
[6,5,1,2,4,1]=>[1,3,6,5,4,1]
[6,5,1,4,1,2]=>[2,4,6,1,2,5]
[6,5,1,4,2,1]=>[1,3,5,6,4,1]
[6,5,2,1,1,4]=>[2,4,1,2,6,5]
[6,5,2,1,4,1]=>[1,3,6,4,5,1]
[6,5,2,4,1,1]=>[1,3,5,4,6,1]
[6,5,4,1,1,2]=>[2,4,5,1,2,6]
[6,5,4,1,2,1]=>[1,3,4,6,5,1]
[6,5,4,2,1,1]=>[1,3,4,5,6,1]
[1,1,3,3,3,3]=>[1,1,3,3,3,3]
[1,3,1,3,3,3]=>[5,5,1,1,1,1]
[1,3,3,1,3,3]=>[4,4,1,1,1,1]
[1,3,3,3,1,3]=>[3,3,1,1,1,1]
[1,3,3,3,3,1]=>[2,2,1,1,1,1]
[3,1,1,3,3,3]=>[5,1,5,1,1,1]
[3,1,3,1,3,3]=>[4,1,4,1,1,1]
[3,1,3,3,1,3]=>[3,1,3,1,1,1]
[3,1,3,3,3,1]=>[2,1,2,1,1,1]
[3,3,1,1,3,3]=>[4,1,1,4,1,1]
[3,3,1,3,1,3]=>[3,1,1,3,1,1]
[3,3,1,3,3,1]=>[2,1,1,2,1,1]
[3,3,3,1,1,3]=>[3,1,1,1,3,1]
[3,3,3,1,3,1]=>[2,1,1,1,2,1]
[3,3,3,3,1,1]=>[2,1,1,1,1,2]
[1,1,3,3,3,4]=>[1,1,3,3,3,4]
[1,1,3,3,4,3]=>[1,1,3,3,4,3]
[1,1,3,4,3,3]=>[1,1,3,4,3,3]
[1,1,4,3,3,3]=>[1,1,3,5,3,3]
[1,3,1,3,3,4]=>[1,1,4,4,4,3]
[1,3,1,3,4,3]=>[1,1,4,4,3,4]
[1,3,1,4,3,3]=>[1,1,4,3,4,4]
[1,3,3,1,3,4]=>[4,4,1,1,1,6]
[1,3,3,1,4,3]=>[4,4,1,1,6,1]
[1,3,3,3,1,4]=>[3,3,1,1,1,5]
[1,3,3,3,4,1]=>[2,2,1,1,1,4]
[1,3,3,4,1,3]=>[3,3,1,1,5,1]
[1,3,3,4,3,1]=>[2,2,1,1,4,1]
[1,3,4,1,3,3]=>[4,4,1,6,1,1]
[1,3,4,3,1,3]=>[3,3,1,5,1,1]
[1,3,4,3,3,1]=>[2,2,1,4,1,1]
[1,4,1,3,3,3]=>[5,5,1,2,1,1]
[1,4,3,1,3,3]=>[5,5,2,1,2,2]
[1,4,3,3,1,3]=>[3,3,1,6,1,1]
[1,4,3,3,3,1]=>[2,2,1,5,1,1]
[3,1,1,3,3,4]=>[1,1,4,4,4,2]
[3,1,1,3,4,3]=>[1,1,4,4,2,4]
[3,1,1,4,3,3]=>[1,1,4,2,4,4]
[3,1,3,1,3,4]=>[4,4,1,1,1,5]
[3,1,3,1,4,3]=>[4,4,1,1,5,1]
[3,1,3,3,1,4]=>[3,3,1,1,1,4]
[3,1,3,3,4,1]=>[2,2,1,1,1,3]
[3,1,3,4,1,3]=>[3,3,1,1,4,1]
[3,1,3,4,3,1]=>[2,2,1,1,3,1]
[3,1,4,1,3,3]=>[4,4,1,5,1,1]
[3,1,4,3,1,3]=>[3,3,1,4,1,1]
[3,1,4,3,3,1]=>[2,2,1,3,1,1]
[3,3,1,1,3,4]=>[4,1,4,1,1,5]
[3,3,1,1,4,3]=>[4,1,4,1,5,1]
[3,3,1,3,1,4]=>[3,1,3,1,1,4]
[3,3,1,3,4,1]=>[2,1,2,1,1,3]
[3,3,1,4,1,3]=>[3,1,3,1,4,1]
[3,3,1,4,3,1]=>[2,1,2,1,3,1]
[3,3,3,1,1,4]=>[3,1,1,3,1,4]
[3,3,3,1,4,1]=>[2,1,1,2,1,3]
[3,3,3,4,1,1]=>[2,1,1,3,1,2]
[3,3,4,1,1,3]=>[3,1,4,1,3,1]
[3,3,4,1,3,1]=>[2,1,3,1,2,1]
[3,3,4,3,1,1]=>[2,1,3,1,1,2]
[3,4,1,1,3,3]=>[4,5,1,4,1,1]
[3,4,1,3,1,3]=>[3,4,1,3,1,1]
[3,4,1,3,3,1]=>[2,3,1,2,1,1]
[3,4,3,1,1,3]=>[3,4,1,1,3,1]
[3,4,3,1,3,1]=>[2,3,1,1,2,1]
[3,4,3,3,1,1]=>[2,3,1,1,1,2]
[4,1,1,3,3,3]=>[5,2,5,1,1,1]
[4,1,3,1,3,3]=>[5,1,5,2,2,2]
[4,1,3,3,1,3]=>[3,6,3,1,1,1]
[4,1,3,3,3,1]=>[2,5,2,1,1,1]
[4,3,1,1,3,3]=>[4,6,1,4,1,1]
[4,3,1,3,1,3]=>[3,5,1,3,1,1]
[4,3,1,3,3,1]=>[2,4,1,2,1,1]
[4,3,3,1,1,3]=>[3,5,1,1,3,1]
[4,3,3,1,3,1]=>[2,4,1,1,2,1]
[4,3,3,3,1,1]=>[2,4,1,1,1,2]
[1,1,3,3,3,5]=>[1,1,3,3,3,5]
[1,1,3,3,5,3]=>[1,1,3,3,5,3]
[1,1,3,5,3,3]=>[1,1,3,3,6,3]
[1,1,5,3,3,3]=>[1,1,3,6,3,3]
[1,3,1,3,3,5]=>[5,5,1,1,1,2]
[1,3,1,3,5,3]=>[5,5,1,1,2,1]
[1,3,1,5,3,3]=>[5,5,1,1,3,1]
[1,3,3,1,3,5]=>[5,5,2,2,2,1]
[1,3,3,1,5,3]=>[5,5,2,2,1,2]
[1,3,3,3,1,5]=>[3,3,1,1,1,6]
[1,3,3,3,5,1]=>[2,2,1,1,1,5]
[1,3,3,5,1,3]=>[3,3,1,1,6,1]
[1,3,3,5,3,1]=>[2,2,1,1,5,1]
[1,3,5,1,3,3]=>[4,4,1,1,2,1]
[1,3,5,3,1,3]=>[4,4,2,2,1,2]
[1,3,5,3,3,1]=>[2,2,1,1,6,1]
[1,5,1,3,3,3]=>[5,5,1,3,1,1]
[1,5,3,1,3,3]=>[4,4,1,2,1,1]
[1,5,3,3,1,3]=>[4,4,2,1,2,2]
[1,5,3,3,3,1]=>[2,2,1,6,1,1]
[3,1,1,3,3,5]=>[5,1,5,1,1,2]
[3,1,1,3,5,3]=>[5,1,5,1,2,1]
[3,1,1,5,3,3]=>[5,1,5,1,3,1]
[3,1,3,1,3,5]=>[5,2,5,2,2,1]
[3,1,3,1,5,3]=>[5,2,5,2,1,2]
[3,1,3,3,1,5]=>[3,1,3,1,1,6]
[3,1,3,3,5,1]=>[2,1,2,1,1,5]
[3,1,3,5,1,3]=>[3,1,3,1,6,1]
[3,1,3,5,3,1]=>[2,1,2,1,5,1]
[3,1,5,1,3,3]=>[4,1,4,1,2,1]
[3,1,5,3,1,3]=>[4,2,4,2,1,2]
[3,1,5,3,3,1]=>[2,1,2,1,6,1]
[3,3,1,1,3,5]=>[4,1,4,1,1,6]
[3,3,1,1,5,3]=>[4,1,4,1,6,1]
[3,3,1,3,1,5]=>[3,1,3,1,1,5]
[3,3,1,3,5,1]=>[2,1,2,1,1,4]
[3,3,1,5,1,3]=>[3,1,3,1,5,1]
[3,3,1,5,3,1]=>[2,1,2,1,4,1]
[3,3,3,1,1,5]=>[3,1,1,3,1,5]
[3,3,3,1,5,1]=>[2,1,1,2,1,4]
[3,3,3,5,1,1]=>[2,1,1,4,1,2]
[3,3,5,1,1,3]=>[3,1,5,1,3,1]
[3,3,5,1,3,1]=>[2,1,4,1,2,1]
[3,3,5,3,1,1]=>[2,1,4,1,1,2]
[3,5,1,1,3,3]=>[4,1,2,4,1,1]
[3,5,1,3,1,3]=>[4,2,1,4,2,2]
[3,5,1,3,3,1]=>[2,1,6,2,1,1]
[3,5,3,1,1,3]=>[3,1,6,1,3,1]
[3,5,3,1,3,1]=>[2,1,5,1,2,1]
[3,5,3,3,1,1]=>[2,1,5,1,1,2]
[5,1,1,3,3,3]=>[5,3,5,1,1,1]
[5,1,3,1,3,3]=>[4,2,4,1,1,1]
[5,1,3,3,1,3]=>[4,1,4,2,2,2]
[5,1,3,3,3,1]=>[2,6,2,1,1,1]
[5,3,1,1,3,3]=>[4,2,1,4,1,1]
[5,3,1,3,1,3]=>[4,1,2,4,2,2]
[5,3,1,3,3,1]=>[2,6,1,2,1,1]
[5,3,3,1,1,3]=>[3,6,1,1,3,1]
[5,3,3,1,3,1]=>[2,5,1,1,2,1]
[5,3,3,3,1,1]=>[2,5,1,1,1,2]
[1,1,3,3,3,6]=>[1,1,3,3,3,6]
[1,1,3,3,6,3]=>[2,2,4,4,4,1]
[1,1,3,6,3,3]=>[2,2,4,4,1,4]
[1,1,6,3,3,3]=>[2,2,4,1,4,4]
[1,3,1,3,3,6]=>[5,5,1,1,1,3]
[1,3,1,3,6,3]=>[5,5,1,1,1,4]
[1,3,1,6,3,3]=>[5,5,1,1,4,1]
[1,3,3,1,3,6]=>[4,4,1,1,1,2]
[1,3,3,1,6,3]=>[4,4,1,1,1,3]
[1,3,3,3,1,6]=>[4,4,2,2,2,1]
[1,3,3,3,6,1]=>[2,2,1,1,1,6]
[1,3,3,6,1,3]=>[3,3,1,1,1,2]
[1,3,3,6,3,1]=>[3,3,2,2,2,1]
[1,3,6,1,3,3]=>[4,4,1,1,3,1]
[1,3,6,3,1,3]=>[3,3,1,1,2,1]
[1,3,6,3,3,1]=>[3,3,2,2,1,2]
[1,6,1,3,3,3]=>[5,5,1,4,1,1]
[1,6,3,1,3,3]=>[4,4,1,3,1,1]
[1,6,3,3,1,3]=>[3,3,1,2,1,1]
[1,6,3,3,3,1]=>[3,3,2,1,2,2]
[3,1,1,3,3,6]=>[5,1,5,1,1,3]
[3,1,1,3,6,3]=>[5,1,5,1,1,4]
[3,1,1,6,3,3]=>[5,1,5,1,4,1]
[3,1,3,1,3,6]=>[4,1,4,1,1,2]
[3,1,3,1,6,3]=>[4,1,4,1,1,3]
[3,1,3,3,1,6]=>[4,2,4,2,2,1]
[3,1,3,3,6,1]=>[2,1,2,1,1,6]
[3,1,3,6,1,3]=>[3,1,3,1,1,2]
[3,1,3,6,3,1]=>[3,2,3,2,2,1]
[3,1,6,1,3,3]=>[4,1,4,1,3,1]
[3,1,6,3,1,3]=>[3,1,3,1,2,1]
[3,1,6,3,3,1]=>[3,2,3,2,1,2]
[3,3,1,1,3,6]=>[4,1,1,4,1,2]
[3,3,1,1,6,3]=>[4,1,1,4,1,3]
[3,3,1,3,1,6]=>[4,2,2,4,2,1]
[3,3,1,3,6,1]=>[2,1,1,2,1,6]
[3,3,1,6,1,3]=>[3,1,1,3,1,2]
[3,3,1,6,3,1]=>[3,2,2,3,2,1]
[3,3,3,1,1,6]=>[3,1,1,3,1,6]
[3,3,3,1,6,1]=>[2,1,1,2,1,5]
[3,3,3,6,1,1]=>[2,1,1,5,1,2]
[3,3,6,1,1,3]=>[3,1,1,2,3,1]
[3,3,6,1,3,1]=>[3,2,2,1,3,2]
[3,3,6,3,1,1]=>[2,1,1,6,1,2]
[3,6,1,1,3,3]=>[4,1,3,4,1,1]
[3,6,1,3,1,3]=>[3,1,2,3,1,1]
[3,6,1,3,3,1]=>[3,2,1,3,2,2]
[3,6,3,1,1,3]=>[3,1,2,1,3,1]
[3,6,3,1,3,1]=>[3,2,1,2,3,2]
[3,6,3,3,1,1]=>[2,1,6,1,1,2]
[6,1,1,3,3,3]=>[5,4,5,1,1,1]
[6,1,3,1,3,3]=>[4,3,4,1,1,1]
[6,1,3,3,1,3]=>[3,2,3,1,1,1]
[6,1,3,3,3,1]=>[3,1,3,2,2,2]
[6,3,1,1,3,3]=>[4,3,1,4,1,1]
[6,3,1,3,1,3]=>[3,2,1,3,1,1]
[6,3,1,3,3,1]=>[3,1,2,3,2,2]
[6,3,3,1,1,3]=>[3,2,1,1,3,1]
[6,3,3,1,3,1]=>[3,1,2,2,3,2]
[6,3,3,3,1,1]=>[2,6,1,1,1,2]
[1,1,3,3,4,4]=>[1,1,3,3,4,4]
[1,1,3,4,3,4]=>[1,1,3,4,3,4]
[1,1,3,4,4,3]=>[1,1,3,4,4,3]
[1,1,4,3,3,4]=>[1,1,3,5,3,5]
[1,1,4,3,4,3]=>[1,1,3,5,5,3]
[1,1,4,4,3,3]=>[3,3,5,1,1,5]
[1,3,1,3,4,4]=>[1,1,4,4,3,3]
[1,3,1,4,3,4]=>[1,1,4,3,4,3]
[1,3,1,4,4,3]=>[1,1,4,3,3,4]
[1,3,3,1,4,4]=>[1,1,5,5,3,3]
[1,3,3,4,1,4]=>[3,3,1,1,5,5]
[1,3,3,4,4,1]=>[2,2,1,1,4,4]
[1,3,4,1,3,4]=>[1,1,5,3,5,3]
[1,3,4,1,4,3]=>[1,1,5,3,3,5]
[1,3,4,3,1,4]=>[3,3,1,5,1,5]
[1,3,4,3,4,1]=>[2,2,1,4,1,4]
[1,3,4,4,1,3]=>[3,3,1,5,5,1]
[1,3,4,4,3,1]=>[2,2,1,4,4,1]
[1,4,1,3,3,4]=>[5,5,1,2,1,2]
[1,4,1,3,4,3]=>[5,5,1,2,2,1]
[1,4,1,4,3,3]=>[5,5,1,3,3,1]
[1,4,3,1,3,4]=>[5,5,2,1,2,1]
[1,4,3,1,4,3]=>[5,5,2,1,1,2]
[1,4,3,3,1,4]=>[5,5,3,1,3,1]
[1,4,3,3,4,1]=>[2,2,1,5,1,5]
[1,4,3,4,1,3]=>[5,5,3,1,1,3]
[1,4,3,4,3,1]=>[2,2,1,5,5,1]
[1,4,4,1,3,3]=>[4,4,1,2,2,1]
[1,4,4,3,1,3]=>[4,4,2,1,1,2]
[1,4,4,3,3,1]=>[4,4,3,1,1,3]
[3,1,1,3,4,4]=>[1,1,4,4,2,2]
[3,1,1,4,3,4]=>[1,1,4,2,4,2]
[3,1,1,4,4,3]=>[1,1,4,2,2,4]
[3,1,3,1,4,4]=>[1,1,5,5,2,2]
[3,1,3,4,1,4]=>[3,3,1,1,4,4]
[3,1,3,4,4,1]=>[2,2,1,1,3,3]
[3,1,4,1,3,4]=>[1,1,5,2,5,2]
[3,1,4,1,4,3]=>[1,1,5,2,2,5]
[3,1,4,3,1,4]=>[3,3,1,4,1,4]
[3,1,4,3,4,1]=>[2,2,1,3,1,3]
[3,1,4,4,1,3]=>[3,3,1,4,4,1]
[3,1,4,4,3,1]=>[2,2,1,3,3,1]
[3,3,1,1,4,4]=>[1,5,1,5,2,2]
[3,3,1,4,1,4]=>[3,1,3,1,4,4]
[3,3,1,4,4,1]=>[2,1,2,1,3,3]
[3,3,4,1,1,4]=>[3,1,4,3,1,4]
[3,3,4,1,4,1]=>[2,1,3,2,1,3]
[3,3,4,4,1,1]=>[2,1,3,3,1,2]
[3,4,1,1,3,4]=>[1,2,1,5,5,2]
[3,4,1,1,4,3]=>[1,2,1,5,2,5]
[3,4,1,3,1,4]=>[3,4,3,1,1,4]
[3,4,1,3,4,1]=>[2,3,2,1,1,3]
[3,4,1,4,1,3]=>[3,4,3,1,4,1]
[3,4,1,4,3,1]=>[2,3,2,1,3,1]
[3,4,3,1,1,4]=>[3,4,1,3,1,4]
[3,4,3,1,4,1]=>[2,3,1,2,1,3]
[3,4,3,4,1,1]=>[2,3,1,3,1,2]
[3,4,4,1,1,3]=>[3,4,4,1,3,1]
[3,4,4,1,3,1]=>[2,3,3,1,2,1]
[3,4,4,3,1,1]=>[2,3,3,1,1,2]
[4,1,1,3,3,4]=>[5,2,5,1,1,2]
[4,1,1,3,4,3]=>[5,2,5,1,2,1]
[4,1,1,4,3,3]=>[5,3,5,1,3,1]
[4,1,3,1,3,4]=>[5,1,5,2,2,1]
[4,1,3,1,4,3]=>[5,1,5,2,1,2]
[4,1,3,3,1,4]=>[5,1,5,3,3,1]
[4,1,3,3,4,1]=>[2,5,2,1,1,5]
[4,1,3,4,1,3]=>[5,1,5,3,1,3]
[4,1,3,4,3,1]=>[2,5,2,1,5,1]
[4,1,4,1,3,3]=>[4,2,4,1,2,1]
[4,1,4,3,1,3]=>[4,1,4,2,1,2]
[4,1,4,3,3,1]=>[4,1,4,3,1,3]
[4,3,1,1,3,4]=>[1,3,1,5,5,3]
[4,3,1,1,4,3]=>[1,3,1,5,3,5]
[4,3,1,3,1,4]=>[3,5,3,1,1,5]
[4,3,1,3,4,1]=>[2,4,2,1,1,4]
[4,3,1,4,1,3]=>[3,5,3,1,5,1]
[4,3,1,4,3,1]=>[2,4,2,1,4,1]
[4,3,3,1,1,4]=>[3,5,1,3,1,5]
[4,3,3,1,4,1]=>[2,4,1,2,1,4]
[4,3,3,4,1,1]=>[2,4,1,4,1,2]
[4,3,4,1,1,3]=>[3,5,5,1,3,1]
[4,3,4,1,3,1]=>[2,4,4,1,2,1]
[4,3,4,3,1,1]=>[2,4,4,1,1,2]
[4,4,1,1,3,3]=>[4,2,2,4,1,1]
[4,4,1,3,1,3]=>[4,1,1,4,2,2]
[4,4,1,3,3,1]=>[4,1,1,4,3,3]
[4,4,3,1,1,3]=>[5,1,1,3,5,3]
[4,4,3,1,3,1]=>[2,5,5,1,2,1]
[4,4,3,3,1,1]=>[2,5,5,1,1,2]
[1,1,3,3,4,5]=>[1,1,3,4,3,5]
[1,1,3,3,5,4]=>[1,1,3,5,3,4]
[1,1,3,4,3,5]=>[1,1,3,4,3,6]
[1,1,3,4,5,3]=>[2,2,4,5,4,1]
[1,1,3,5,3,4]=>[1,1,3,6,3,4]
[1,1,3,5,4,3]=>[2,2,4,1,5,4]
[1,1,4,3,3,5]=>[1,1,3,5,3,6]
[1,1,4,3,5,3]=>[2,2,4,6,4,1]
[1,1,4,5,3,3]=>[3,3,5,1,2,5]
[1,1,5,3,3,4]=>[1,1,3,6,3,5]
[1,1,5,3,4,3]=>[2,2,4,1,6,4]
[1,1,5,4,3,3]=>[3,3,5,2,1,5]
[1,3,1,3,4,5]=>[1,1,4,3,4,5]
[1,3,1,3,5,4]=>[1,1,4,5,4,3]
[1,3,1,4,3,5]=>[1,1,4,3,4,6]
[1,3,1,4,5,3]=>[2,2,5,4,5,1]
[1,3,1,5,3,4]=>[1,1,4,6,4,3]
[1,3,1,5,4,3]=>[2,2,5,1,4,5]
[1,3,3,1,4,5]=>[1,1,5,3,5,4]
[1,3,3,1,5,4]=>[1,1,5,4,5,3]
[1,3,3,4,1,5]=>[3,3,1,5,1,6]
[1,3,3,4,5,1]=>[2,2,1,4,1,5]
[1,3,3,5,1,4]=>[3,3,1,6,1,5]
[1,3,3,5,4,1]=>[2,2,1,5,1,4]
[1,3,4,1,3,5]=>[4,4,1,6,1,2]
[1,3,4,1,5,3]=>[4,4,1,6,1,3]
[1,3,4,3,1,5]=>[4,4,2,6,2,1]
[1,3,4,3,5,1]=>[2,2,1,4,1,6]
[1,3,4,5,1,3]=>[3,3,1,5,1,2]
[1,3,4,5,3,1]=>[3,3,2,5,2,1]
[1,3,5,1,3,4]=>[4,4,1,2,1,6]
[1,3,5,1,4,3]=>[4,4,1,3,6,1]
[1,3,5,3,1,4]=>[4,4,2,1,2,6]
[1,3,5,3,4,1]=>[2,2,1,6,1,4]
[1,3,5,4,1,3]=>[3,3,1,2,5,1]
[1,3,5,4,3,1]=>[3,3,2,1,5,2]
[1,4,1,3,3,5]=>[5,5,1,2,1,3]
[1,4,1,3,5,3]=>[5,5,1,2,1,4]
[1,4,1,5,3,3]=>[5,5,1,3,4,1]
[1,4,3,1,3,5]=>[5,5,2,1,2,3]
[1,4,3,1,5,3]=>[5,5,2,1,2,4]
[1,4,3,3,1,5]=>[5,5,3,1,3,2]
[1,4,3,3,5,1]=>[2,2,1,5,1,6]
[1,4,3,5,1,3]=>[3,3,1,6,1,2]
[1,4,3,5,3,1]=>[3,3,2,6,2,1]
[1,4,5,1,3,3]=>[4,4,1,2,3,1]
[1,4,5,3,1,3]=>[4,4,2,1,3,2]
[1,4,5,3,3,1]=>[4,4,3,1,2,3]
[1,5,1,3,3,4]=>[5,5,1,3,1,2]
[1,5,1,3,4,3]=>[5,5,1,4,2,1]
[1,5,1,4,3,3]=>[5,5,1,4,3,1]
[1,5,3,1,3,4]=>[5,5,2,3,2,1]
[1,5,3,1,4,3]=>[5,5,2,4,1,2]
[1,5,3,3,1,4]=>[5,5,3,2,3,1]
[1,5,3,3,4,1]=>[2,2,1,6,1,5]
[1,5,3,4,1,3]=>[3,3,1,2,6,1]
[1,5,3,4,3,1]=>[3,3,2,1,6,2]
[1,5,4,1,3,3]=>[4,4,1,3,2,1]
[1,5,4,3,1,3]=>[4,4,2,3,1,2]
[1,5,4,3,3,1]=>[4,4,3,2,1,3]
[3,1,1,3,4,5]=>[1,1,4,2,4,5]
[3,1,1,3,5,4]=>[1,1,4,5,4,2]
[3,1,1,4,3,5]=>[1,1,4,2,4,6]
[3,1,1,4,5,3]=>[2,2,5,3,5,1]
[3,1,1,5,3,4]=>[1,1,4,6,4,2]
[3,1,1,5,4,3]=>[2,2,5,1,3,5]
[3,1,3,1,4,5]=>[1,1,5,2,5,4]
[3,1,3,1,5,4]=>[1,1,5,4,5,2]
[3,1,3,4,1,5]=>[3,3,1,4,1,6]
[3,1,3,4,5,1]=>[2,2,1,3,1,5]
[3,1,3,5,1,4]=>[3,3,1,6,1,4]
[3,1,3,5,4,1]=>[2,2,1,5,1,3]
[3,1,4,1,3,5]=>[4,4,1,5,1,2]
[3,1,4,1,5,3]=>[4,4,1,5,1,3]
[3,1,4,3,1,5]=>[4,4,2,5,2,1]
[3,1,4,3,5,1]=>[2,2,1,3,1,6]
[3,1,4,5,1,3]=>[3,3,1,4,1,2]
[3,1,4,5,3,1]=>[3,3,2,4,2,1]
[3,1,5,1,3,4]=>[4,4,1,2,1,5]
[3,1,5,1,4,3]=>[4,4,1,3,5,1]
[3,1,5,3,1,4]=>[4,4,2,1,2,5]
[3,1,5,3,4,1]=>[2,2,1,6,1,3]
[3,1,5,4,1,3]=>[3,3,1,2,4,1]
[3,1,5,4,3,1]=>[3,3,2,1,4,2]
[3,3,1,1,4,5]=>[1,1,5,2,5,3]
[3,3,1,1,5,4]=>[1,1,5,3,5,2]
[3,3,1,4,1,5]=>[3,3,1,4,1,5]
[3,3,1,4,5,1]=>[2,2,1,3,1,4]
[3,3,1,5,1,4]=>[3,3,1,5,1,4]
[3,3,1,5,4,1]=>[2,2,1,4,1,3]
[3,3,4,1,1,5]=>[3,4,1,3,1,5]
[3,3,4,1,5,1]=>[2,3,1,2,1,4]
[3,3,4,5,1,1]=>[2,3,1,4,1,2]
[3,3,5,1,1,4]=>[3,5,1,3,1,4]
[3,3,5,1,4,1]=>[2,4,1,2,1,3]
[3,3,5,4,1,1]=>[2,4,1,3,1,2]
[3,4,1,1,3,5]=>[4,5,1,4,1,2]
[3,4,1,1,5,3]=>[4,5,1,4,1,3]
[3,4,1,3,1,5]=>[4,5,2,4,2,1]
[3,4,1,3,5,1]=>[2,3,1,2,1,6]
[3,4,1,5,1,3]=>[3,4,1,3,1,2]
[3,4,1,5,3,1]=>[3,4,2,3,2,1]
[3,4,3,1,1,5]=>[3,4,1,3,1,6]
[3,4,3,1,5,1]=>[2,3,1,2,1,5]
[3,4,3,5,1,1]=>[2,3,1,5,1,2]
[3,4,5,1,1,3]=>[3,4,1,2,3,1]
[3,4,5,1,3,1]=>[3,4,2,1,3,2]
[3,4,5,3,1,1]=>[2,3,1,6,1,2]
[3,5,1,1,3,4]=>[4,2,4,1,1,5]
[3,5,1,1,4,3]=>[4,3,4,1,5,1]
[3,5,1,3,1,4]=>[4,1,4,2,2,5]
[3,5,1,3,4,1]=>[2,6,2,1,1,3]
[3,5,1,4,1,3]=>[3,2,3,1,4,1]
[3,5,1,4,3,1]=>[3,1,3,2,4,2]
[3,5,3,1,1,4]=>[3,6,1,3,1,4]
[3,5,3,1,4,1]=>[2,5,1,2,1,3]
[3,5,3,4,1,1]=>[2,5,1,3,1,2]
[3,5,4,1,1,3]=>[3,2,4,1,3,1]
[3,5,4,1,3,1]=>[3,1,4,2,3,2]
[3,5,4,3,1,1]=>[2,6,3,1,1,2]
[4,1,1,3,3,5]=>[5,2,5,1,1,3]
[4,1,1,3,5,3]=>[5,2,5,1,1,4]
[4,1,1,5,3,3]=>[5,3,5,1,4,1]
[4,1,3,1,3,5]=>[5,1,5,2,2,3]
[4,1,3,1,5,3]=>[5,1,5,2,2,4]
[4,1,3,3,1,5]=>[5,1,5,3,3,2]
[4,1,3,3,5,1]=>[2,5,2,1,1,6]
[4,1,3,5,1,3]=>[3,6,3,1,1,2]
[4,1,3,5,3,1]=>[3,6,3,2,2,1]
[4,1,5,1,3,3]=>[4,2,4,1,3,1]
[4,1,5,3,1,3]=>[4,1,4,2,3,2]
[4,1,5,3,3,1]=>[4,1,4,3,2,3]
[4,3,1,1,3,5]=>[4,6,1,4,1,2]
[4,3,1,1,5,3]=>[4,6,1,4,1,3]
[4,3,1,3,1,5]=>[4,6,2,4,2,1]
[4,3,1,3,5,1]=>[2,4,1,2,1,6]
[4,3,1,5,1,3]=>[3,5,1,3,1,2]
[4,3,1,5,3,1]=>[3,5,2,3,2,1]
[4,3,3,1,1,5]=>[3,5,1,3,1,6]
[4,3,3,1,5,1]=>[2,4,1,2,1,5]
[4,3,3,5,1,1]=>[2,4,1,5,1,2]
[4,3,5,1,1,3]=>[3,5,1,2,3,1]
[4,3,5,1,3,1]=>[3,5,2,1,3,2]
[4,3,5,3,1,1]=>[2,4,1,6,1,2]
[4,5,1,1,3,3]=>[4,2,3,4,1,1]
[4,5,1,3,1,3]=>[4,1,3,4,2,2]
[4,5,1,3,3,1]=>[4,1,2,4,3,3]
[4,5,3,1,1,3]=>[3,6,2,1,3,1]
[4,5,3,1,3,1]=>[3,6,1,2,3,2]
[4,5,3,3,1,1]=>[2,5,6,1,1,2]
[5,1,1,3,3,4]=>[5,3,5,1,1,2]
[5,1,1,3,4,3]=>[5,4,5,1,2,1]
[5,1,1,4,3,3]=>[5,4,5,1,3,1]
[5,1,3,1,3,4]=>[5,3,5,2,2,1]
[5,1,3,1,4,3]=>[5,4,5,2,1,2]
[5,1,3,3,1,4]=>[5,2,5,3,3,1]
[5,1,3,3,4,1]=>[2,6,2,1,1,5]
[5,1,3,4,1,3]=>[3,2,3,1,6,1]
[5,1,3,4,3,1]=>[3,1,3,2,6,2]
[5,1,4,1,3,3]=>[4,3,4,1,2,1]
[5,1,4,3,1,3]=>[4,3,4,2,1,2]
[5,1,4,3,3,1]=>[4,2,4,3,1,3]
[5,3,1,1,3,4]=>[4,2,4,1,1,6]
[5,3,1,1,4,3]=>[4,3,4,1,6,1]
[5,3,1,3,1,4]=>[4,1,4,2,2,6]
[5,3,1,3,4,1]=>[2,6,2,1,1,4]
[5,3,1,4,1,3]=>[3,2,3,1,5,1]
[5,3,1,4,3,1]=>[3,1,3,2,5,2]
[5,3,3,1,1,4]=>[3,6,1,3,1,5]
[5,3,3,1,4,1]=>[2,5,1,2,1,4]
[5,3,3,4,1,1]=>[2,5,1,4,1,2]
[5,3,4,1,1,3]=>[3,2,5,1,3,1]
[5,3,4,1,3,1]=>[3,1,5,2,3,2]
[5,3,4,3,1,1]=>[2,6,4,1,1,2]
[5,4,1,1,3,3]=>[4,3,2,4,1,1]
[5,4,1,3,1,3]=>[4,3,1,4,2,2]
[5,4,1,3,3,1]=>[4,2,1,4,3,3]
[5,4,3,1,1,3]=>[3,2,6,1,3,1]
[5,4,3,1,3,1]=>[3,1,6,2,3,2]
[5,4,3,3,1,1]=>[2,6,5,1,1,2]
[1,1,3,3,4,6]=>[1,1,3,3,4,6]
[1,1,3,3,6,4]=>[2,2,4,4,5,1]
[1,1,3,4,3,6]=>[1,1,3,3,4,5]
[1,1,3,4,6,3]=>[1,1,3,5,4,3]
[1,1,3,6,3,4]=>[2,2,4,1,4,5]
[1,1,3,6,4,3]=>[1,1,3,6,4,3]
[1,1,4,3,3,6]=>[1,1,3,3,5,4]
[1,1,4,3,6,3]=>[1,1,3,4,5,3]
[1,1,4,6,3,3]=>[1,1,3,4,6,3]
[1,1,6,3,3,4]=>[2,2,4,1,4,6]
[1,1,6,3,4,3]=>[1,1,3,6,5,3]
[1,1,6,4,3,3]=>[1,1,3,5,6,3]
[1,3,1,3,4,6]=>[1,1,4,4,3,6]
[1,3,1,3,6,4]=>[2,2,5,5,4,1]
[1,3,1,4,3,6]=>[1,1,4,4,3,5]
[1,3,1,4,6,3]=>[1,1,4,5,3,4]
[1,3,1,6,3,4]=>[2,2,5,1,5,4]
[1,3,1,6,4,3]=>[1,1,4,6,3,4]
[1,3,3,1,4,6]=>[4,4,1,1,6,2]
[1,3,3,1,6,4]=>[4,4,1,1,6,3]
[1,3,3,4,1,6]=>[4,4,2,2,6,1]
[1,3,3,4,6,1]=>[2,2,1,1,6,4]
[1,3,3,6,1,4]=>[3,3,1,1,2,5]
[1,3,3,6,4,1]=>[3,3,2,2,1,5]
[1,3,4,1,3,6]=>[1,1,5,5,3,4]
[1,3,4,1,6,3]=>[1,1,5,4,3,5]
[1,3,4,3,1,6]=>[3,3,1,1,5,6]
[1,3,4,3,6,1]=>[2,2,1,1,5,4]
[1,3,4,6,1,3]=>[3,3,1,6,5,1]
[1,3,4,6,3,1]=>[2,2,1,5,4,1]
[1,3,6,1,3,4]=>[4,4,1,3,1,6]
[1,3,6,1,4,3]=>[4,4,1,2,6,1]
[1,3,6,3,1,4]=>[3,3,1,2,1,5]
[1,3,6,3,4,1]=>[3,3,2,1,2,5]
[1,3,6,4,1,3]=>[4,4,2,1,6,2]
[1,3,6,4,3,1]=>[2,2,1,6,4,1]
[1,4,1,3,3,6]=>[1,1,4,4,5,3]
[1,4,1,3,6,3]=>[1,1,4,3,5,4]
[1,4,1,6,3,3]=>[1,1,4,3,6,4]
[1,4,3,1,3,6]=>[1,1,5,5,4,3]
[1,4,3,1,6,3]=>[1,1,5,3,4,5]
[1,4,3,3,1,6]=>[3,3,1,1,6,5]
[1,4,3,3,6,1]=>[2,2,1,1,4,5]
[1,4,3,6,1,3]=>[3,3,1,5,6,1]
[1,4,3,6,3,1]=>[2,2,1,4,5,1]
[1,4,6,1,3,3]=>[4,4,1,6,2,1]
[1,4,6,3,1,3]=>[4,4,2,6,1,2]
[1,4,6,3,3,1]=>[2,2,1,4,6,1]
[1,6,1,3,3,4]=>[5,5,1,4,1,2]
[1,6,1,3,4,3]=>[5,5,1,3,2,1]
[1,6,1,4,3,3]=>[5,5,1,2,3,1]
[1,6,3,1,3,4]=>[5,5,2,4,2,1]
[1,6,3,1,4,3]=>[5,5,2,3,1,2]
[1,6,3,3,1,4]=>[3,3,1,2,1,6]
[1,6,3,3,4,1]=>[3,3,2,1,2,6]
[1,6,3,4,1,3]=>[5,5,3,2,1,3]
[1,6,3,4,3,1]=>[2,2,1,6,5,1]
[1,6,4,1,3,3]=>[5,5,2,1,3,2]
[1,6,4,3,1,3]=>[5,5,3,1,2,3]
[1,6,4,3,3,1]=>[2,2,1,5,6,1]
[3,1,1,3,4,6]=>[1,1,4,4,2,6]
[3,1,1,3,6,4]=>[2,2,5,5,3,1]
[3,1,1,4,3,6]=>[1,1,4,4,2,5]
[3,1,1,4,6,3]=>[1,1,4,5,2,4]
[3,1,1,6,3,4]=>[2,2,5,1,5,3]
[3,1,1,6,4,3]=>[1,1,4,6,2,4]
[3,1,3,1,4,6]=>[4,4,1,1,5,2]
[3,1,3,1,6,4]=>[4,4,1,1,5,3]
[3,1,3,4,1,6]=>[4,4,2,2,5,1]
[3,1,3,4,6,1]=>[2,2,1,1,6,3]
[3,1,3,6,1,4]=>[3,3,1,1,2,4]
[3,1,3,6,4,1]=>[3,3,2,2,1,4]
[3,1,4,1,3,6]=>[1,1,5,5,2,4]
[3,1,4,1,6,3]=>[1,1,5,4,2,5]
[3,1,4,3,1,6]=>[3,3,1,1,4,6]
[3,1,4,3,6,1]=>[2,2,1,1,5,3]
[3,1,4,6,1,3]=>[3,3,1,6,4,1]
[3,1,4,6,3,1]=>[2,2,1,5,3,1]
[3,1,6,1,3,4]=>[4,4,1,3,1,5]
[3,1,6,1,4,3]=>[4,4,1,2,5,1]
[3,1,6,3,1,4]=>[3,3,1,2,1,4]
[3,1,6,3,4,1]=>[3,3,2,1,2,4]
[3,1,6,4,1,3]=>[4,4,2,1,5,2]
[3,1,6,4,3,1]=>[2,2,1,6,3,1]
[3,3,1,1,4,6]=>[4,1,4,1,5,2]
[3,3,1,1,6,4]=>[4,1,4,1,5,3]
[3,3,1,4,1,6]=>[4,2,4,2,5,1]
[3,3,1,4,6,1]=>[2,1,2,1,6,3]
[3,3,1,6,1,4]=>[3,1,3,1,2,4]
[3,3,1,6,4,1]=>[3,2,3,2,1,4]
[3,3,4,1,1,6]=>[3,1,3,1,4,6]
[3,3,4,1,6,1]=>[2,1,2,1,5,3]
[3,3,4,6,1,1]=>[2,1,5,3,1,2]
[3,3,6,1,1,4]=>[3,1,2,3,1,4]
[3,3,6,1,4,1]=>[3,2,1,3,2,4]
[3,3,6,4,1,1]=>[2,1,6,3,1,2]
[3,4,1,1,3,6]=>[1,1,5,5,2,3]
[3,4,1,1,6,3]=>[1,1,5,3,2,5]
[3,4,1,3,1,6]=>[3,3,1,1,4,5]
[3,4,1,3,6,1]=>[2,2,1,1,4,3]
[3,4,1,6,1,3]=>[3,3,1,5,4,1]
[3,4,1,6,3,1]=>[2,2,1,4,3,1]
[3,4,3,1,1,6]=>[3,1,3,1,4,5]
[3,4,3,1,6,1]=>[2,1,2,1,4,3]
[3,4,3,6,1,1]=>[2,1,4,3,1,2]
[3,4,6,1,1,3]=>[3,5,4,1,3,1]
[3,4,6,1,3,1]=>[2,4,3,1,2,1]
[3,4,6,3,1,1]=>[2,4,3,1,1,2]
[3,6,1,1,3,4]=>[4,3,4,1,1,5]
[3,6,1,1,4,3]=>[4,2,4,1,5,1]
[3,6,1,3,1,4]=>[3,2,3,1,1,4]
[3,6,1,3,4,1]=>[3,1,3,2,2,4]
[3,6,1,4,1,3]=>[4,1,4,2,5,2]
[3,6,1,4,3,1]=>[2,6,2,1,3,1]
[3,6,3,1,1,4]=>[3,2,1,3,1,4]
[3,6,3,1,4,1]=>[3,1,2,3,2,4]
[3,6,3,4,1,1]=>[2,6,1,3,1,2]
[3,6,4,1,1,3]=>[3,6,4,1,3,1]
[3,6,4,1,3,1]=>[2,5,3,1,2,1]
[3,6,4,3,1,1]=>[2,5,3,1,1,2]
[4,1,1,3,3,6]=>[1,1,4,4,5,2]
[4,1,1,3,6,3]=>[1,1,4,2,5,4]
[4,1,1,6,3,3]=>[1,1,4,2,6,4]
[4,1,3,1,3,6]=>[1,1,5,5,4,2]
[4,1,3,1,6,3]=>[1,1,5,2,4,5]
[4,1,3,3,1,6]=>[3,3,1,1,6,4]
[4,1,3,3,6,1]=>[2,2,1,1,3,5]
[4,1,3,6,1,3]=>[3,3,1,4,6,1]
[4,1,3,6,3,1]=>[2,2,1,3,5,1]
[4,1,6,1,3,3]=>[4,4,1,5,2,1]
[4,1,6,3,1,3]=>[4,4,2,5,1,2]
[4,1,6,3,3,1]=>[2,2,1,3,6,1]
[4,3,1,1,3,6]=>[1,1,5,5,3,2]
[4,3,1,1,6,3]=>[1,1,5,2,3,5]
[4,3,1,3,1,6]=>[3,3,1,1,5,4]
[4,3,1,3,6,1]=>[2,2,1,1,3,4]
[4,3,1,6,1,3]=>[3,3,1,4,5,1]
[4,3,1,6,3,1]=>[2,2,1,3,4,1]
[4,3,3,1,1,6]=>[3,1,3,1,5,4]
[4,3,3,1,6,1]=>[2,1,2,1,3,4]
[4,3,3,6,1,1]=>[2,1,3,4,1,2]
[4,3,6,1,1,3]=>[3,4,5,1,3,1]
[4,3,6,1,3,1]=>[2,3,4,1,2,1]
[4,3,6,3,1,1]=>[2,3,4,1,1,2]
[4,6,1,1,3,3]=>[4,5,2,4,1,1]
[4,6,1,3,1,3]=>[4,5,1,4,2,2]
[4,6,1,3,3,1]=>[2,3,6,2,1,1]
[4,6,3,1,1,3]=>[3,4,6,1,3,1]
[4,6,3,1,3,1]=>[2,3,5,1,2,1]
[4,6,3,3,1,1]=>[2,3,5,1,1,2]
[6,1,1,3,3,4]=>[5,4,5,1,1,2]
[6,1,1,3,4,3]=>[5,3,5,1,2,1]
[6,1,1,4,3,3]=>[5,2,5,1,3,1]
[6,1,3,1,3,4]=>[5,4,5,2,2,1]
[6,1,3,1,4,3]=>[5,3,5,2,1,2]
[6,1,3,3,1,4]=>[3,2,3,1,1,6]
[6,1,3,3,4,1]=>[3,1,3,2,2,6]
[6,1,3,4,1,3]=>[5,2,5,3,1,3]
[6,1,3,4,3,1]=>[2,6,2,1,5,1]
[6,1,4,1,3,3]=>[5,1,5,2,3,2]
[6,1,4,3,1,3]=>[5,1,5,3,2,3]
[6,1,4,3,3,1]=>[2,5,2,1,6,1]
[6,3,1,1,3,4]=>[4,3,4,1,1,6]
[6,3,1,1,4,3]=>[4,2,4,1,6,1]
[6,3,1,3,1,4]=>[3,2,3,1,1,5]
[6,3,1,3,4,1]=>[3,1,3,2,2,5]
[6,3,1,4,1,3]=>[4,1,4,2,6,2]
[6,3,1,4,3,1]=>[2,6,2,1,4,1]
[6,3,3,1,1,4]=>[3,2,1,3,1,5]
[6,3,3,1,4,1]=>[3,1,2,3,2,5]
[6,3,3,4,1,1]=>[2,6,1,4,1,2]
[6,3,4,1,1,3]=>[3,6,5,1,3,1]
[6,3,4,1,3,1]=>[2,5,4,1,2,1]
[6,3,4,3,1,1]=>[2,5,4,1,1,2]
[6,4,1,1,3,3]=>[4,6,2,4,1,1]
[6,4,1,3,1,3]=>[4,6,1,4,2,2]
[6,4,1,3,3,1]=>[2,4,6,2,1,1]
[6,4,3,1,1,3]=>[3,5,6,1,3,1]
[6,4,3,1,3,1]=>[2,4,5,1,2,1]
[6,4,3,3,1,1]=>[2,4,5,1,1,2]
[1,1,3,3,5,5]=>[1,1,3,3,5,5]
[1,1,3,5,3,5]=>[3,3,5,5,1,1]
[1,1,3,5,5,3]=>[2,2,4,4,1,1]
[1,1,5,3,3,5]=>[3,3,5,1,5,1]
[1,1,5,3,5,3]=>[2,2,4,1,4,1]
[1,1,5,5,3,3]=>[2,2,4,1,1,4]
[1,3,1,3,5,5]=>[5,5,1,1,2,2]
[1,3,1,5,3,5]=>[5,5,1,1,3,3]
[1,3,1,5,5,3]=>[2,2,5,5,1,1]
[1,3,3,1,5,5]=>[5,5,2,2,1,1]
[1,3,3,5,1,5]=>[5,5,3,3,1,1]
[1,3,3,5,5,1]=>[2,2,1,1,5,5]
[1,3,5,1,3,5]=>[4,4,1,1,2,2]
[1,3,5,1,5,3]=>[4,4,1,1,3,3]
[1,3,5,3,1,5]=>[4,4,2,2,1,1]
[1,3,5,3,5,1]=>[4,4,3,3,1,1]
[1,3,5,5,1,3]=>[3,3,1,1,2,2]
[1,3,5,5,3,1]=>[3,3,2,2,1,1]
[1,5,1,3,3,5]=>[5,5,1,3,1,3]
[1,5,1,3,5,3]=>[2,2,5,1,5,1]
[1,5,1,5,3,3]=>[2,2,5,1,1,5]
[1,5,3,1,3,5]=>[4,4,1,2,1,2]
[1,5,3,1,5,3]=>[4,4,1,3,1,3]
[1,5,3,3,1,5]=>[4,4,2,1,2,1]
[1,5,3,3,5,1]=>[4,4,3,1,3,1]
[1,5,3,5,1,3]=>[3,3,1,2,1,2]
[1,5,3,5,3,1]=>[3,3,2,1,2,1]
[1,5,5,1,3,3]=>[4,4,1,3,3,1]
[1,5,5,3,1,3]=>[3,3,1,2,2,1]
[1,5,5,3,3,1]=>[3,3,2,1,1,2]
[3,1,1,3,5,5]=>[5,1,5,1,2,2]
[3,1,1,5,3,5]=>[5,1,5,1,3,3]
[3,1,1,5,5,3]=>[2,5,2,5,1,1]
[3,1,3,1,5,5]=>[5,2,5,2,1,1]
[3,1,3,5,1,5]=>[5,3,5,3,1,1]
[3,1,3,5,5,1]=>[2,1,2,1,5,5]
[3,1,5,1,3,5]=>[4,1,4,1,2,2]
[3,1,5,1,5,3]=>[4,1,4,1,3,3]
[3,1,5,3,1,5]=>[4,2,4,2,1,1]
[3,1,5,3,5,1]=>[4,3,4,3,1,1]
[3,1,5,5,1,3]=>[3,1,3,1,2,2]
[3,1,5,5,3,1]=>[3,2,3,2,1,1]
[3,3,1,1,5,5]=>[1,5,1,5,3,3]
[3,3,1,5,1,5]=>[3,1,3,1,5,5]
[3,3,1,5,5,1]=>[2,1,2,1,4,4]
[3,3,5,1,1,5]=>[3,1,5,3,1,5]
[3,3,5,1,5,1]=>[2,1,4,2,1,4]
[3,3,5,5,1,1]=>[2,1,4,4,1,2]
[3,5,1,1,3,5]=>[4,1,2,4,1,2]
[3,5,1,1,5,3]=>[4,1,3,4,1,3]
[3,5,1,3,1,5]=>[4,2,1,4,2,1]
[3,5,1,3,5,1]=>[4,3,1,4,3,1]
[3,5,1,5,1,3]=>[3,1,2,3,1,2]
[3,5,1,5,3,1]=>[3,2,1,3,2,1]
[3,5,3,1,1,5]=>[5,3,1,5,3,1]
[3,5,3,1,5,1]=>[2,1,5,2,1,5]
[3,5,3,5,1,1]=>[2,1,5,5,1,2]
[3,5,5,1,1,3]=>[3,1,2,2,3,1]
[3,5,5,1,3,1]=>[3,2,1,1,3,2]
[3,5,5,3,1,1]=>[4,3,1,1,3,4]
[5,1,1,3,3,5]=>[5,3,5,1,1,3]
[5,1,1,3,5,3]=>[2,1,2,5,5,1]
[5,1,1,5,3,3]=>[2,1,2,5,1,5]
[5,1,3,1,3,5]=>[4,2,4,1,1,2]
[5,1,3,1,5,3]=>[4,3,4,1,1,3]
[5,1,3,3,1,5]=>[4,1,4,2,2,1]
[5,1,3,3,5,1]=>[4,1,4,3,3,1]
[5,1,3,5,1,3]=>[3,2,3,1,1,2]
[5,1,3,5,3,1]=>[3,1,3,2,2,1]
[5,1,5,1,3,3]=>[4,3,4,1,3,1]
[5,1,5,3,1,3]=>[3,2,3,1,2,1]
[5,1,5,3,3,1]=>[3,1,3,2,1,2]
[5,3,1,1,3,5]=>[4,2,1,4,1,2]
[5,3,1,1,5,3]=>[4,3,1,4,1,3]
[5,3,1,3,1,5]=>[4,1,2,4,2,1]
[5,3,1,3,5,1]=>[4,1,3,4,3,1]
[5,3,1,5,1,3]=>[3,2,1,3,1,2]
[5,3,1,5,3,1]=>[3,1,2,3,2,1]
[5,3,3,1,1,5]=>[5,1,3,5,3,1]
[5,3,3,1,5,1]=>[2,5,1,2,1,5]
[5,3,3,5,1,1]=>[2,5,1,5,1,2]
[5,3,5,1,1,3]=>[3,2,1,2,3,1]
[5,3,5,1,3,1]=>[3,1,2,1,3,2]
[5,3,5,3,1,1]=>[4,1,3,1,3,4]
[5,5,1,1,3,3]=>[4,3,3,4,1,1]
[5,5,1,3,1,3]=>[3,2,2,3,1,1]
[5,5,1,3,3,1]=>[3,1,1,3,2,2]
[5,5,3,1,1,3]=>[3,2,2,1,3,1]
[5,5,3,1,3,1]=>[3,1,1,2,3,2]
[5,5,3,3,1,1]=>[4,1,1,3,3,4]
[1,1,3,3,5,6]=>[1,1,3,3,5,6]
[1,1,3,3,6,5]=>[2,2,4,4,6,1]
[1,1,3,5,3,6]=>[1,1,3,3,6,5]
[1,1,3,5,6,3]=>[2,2,4,4,1,6]
[1,1,3,6,3,5]=>[3,3,5,5,1,2]
[1,1,3,6,5,3]=>[3,3,5,5,2,1]
[1,1,5,3,3,6]=>[1,1,3,3,6,4]
[1,1,5,3,6,3]=>[2,2,4,4,1,5]
[1,1,5,6,3,3]=>[2,2,4,5,1,4]
[1,1,6,3,3,5]=>[3,3,5,2,5,1]
[1,1,6,3,5,3]=>[3,3,5,1,5,2]
[1,1,6,5,3,3]=>[2,2,4,6,1,4]
[1,3,1,3,5,6]=>[5,5,1,1,2,3]
[1,3,1,3,6,5]=>[5,5,1,1,2,4]
[1,3,1,5,3,6]=>[5,5,1,1,3,2]
[1,3,1,5,6,3]=>[5,5,1,1,4,2]
[1,3,1,6,3,5]=>[5,5,1,1,3,4]
[1,3,1,6,5,3]=>[5,5,1,1,4,3]
[1,3,3,1,5,6]=>[5,5,2,2,1,3]
[1,3,3,1,6,5]=>[5,5,2,2,1,4]
[1,3,3,5,1,6]=>[5,5,3,3,1,2]
[1,3,3,5,6,1]=>[2,2,1,1,6,5]
[1,3,3,6,1,5]=>[3,3,1,1,2,6]
[1,3,3,6,5,1]=>[3,3,2,2,1,6]
[1,3,5,1,3,6]=>[5,5,2,2,3,1]
[1,3,5,1,6,3]=>[5,5,2,2,4,1]
[1,3,5,3,1,6]=>[5,5,3,3,2,1]
[1,3,5,3,6,1]=>[2,2,1,1,5,6]
[1,3,5,6,1,3]=>[3,3,1,1,6,2]
[1,3,5,6,3,1]=>[3,3,2,2,6,1]
[1,3,6,1,3,5]=>[4,4,1,1,3,2]
[1,3,6,1,5,3]=>[4,4,1,1,2,3]
[1,3,6,3,1,5]=>[4,4,2,2,3,1]
[1,3,6,3,5,1]=>[4,4,3,3,2,1]
[1,3,6,5,1,3]=>[4,4,2,2,1,3]
[1,3,6,5,3,1]=>[4,4,3,3,1,2]
[1,5,1,3,3,6]=>[1,1,4,4,6,3]
[1,5,1,3,6,3]=>[2,2,5,5,1,4]
[1,5,1,6,3,3]=>[2,2,5,4,1,5]
[1,5,3,1,3,6]=>[4,4,1,1,2,6]
[1,5,3,1,6,3]=>[4,4,1,1,3,6]
[1,5,3,3,1,6]=>[4,4,2,2,1,6]
[1,5,3,3,6,1]=>[2,2,1,1,4,6]
[1,5,3,6,1,3]=>[3,3,1,1,5,2]
[1,5,3,6,3,1]=>[3,3,2,2,5,1]
[1,5,6,1,3,3]=>[4,4,1,6,3,1]
[1,5,6,3,1,3]=>[3,3,1,5,2,1]
[1,5,6,3,3,1]=>[3,3,2,5,1,2]
[1,6,1,3,3,5]=>[5,5,1,4,1,3]
[1,6,1,3,5,3]=>[5,5,1,3,1,4]
[1,6,1,5,3,3]=>[5,5,1,2,4,1]
[1,6,3,1,3,5]=>[4,4,1,3,1,2]
[1,6,3,1,5,3]=>[4,4,1,2,1,3]
[1,6,3,3,1,5]=>[4,4,2,3,2,1]
[1,6,3,3,5,1]=>[4,4,3,2,3,1]
[1,6,3,5,1,3]=>[4,4,2,1,2,3]
[1,6,3,5,3,1]=>[4,4,3,1,3,2]
[1,6,5,1,3,3]=>[5,5,2,1,4,2]
[1,6,5,3,1,3]=>[3,3,1,6,2,1]
[1,6,5,3,3,1]=>[3,3,2,6,1,2]
[3,1,1,3,5,6]=>[5,1,5,1,2,3]
[3,1,1,3,6,5]=>[5,1,5,1,2,4]
[3,1,1,5,3,6]=>[5,1,5,1,3,2]
[3,1,1,5,6,3]=>[5,1,5,1,4,2]
[3,1,1,6,3,5]=>[5,1,5,1,3,4]
[3,1,1,6,5,3]=>[5,1,5,1,4,3]
[3,1,3,1,5,6]=>[5,2,5,2,1,3]
[3,1,3,1,6,5]=>[5,2,5,2,1,4]
[3,1,3,5,1,6]=>[5,3,5,3,1,2]
[3,1,3,5,6,1]=>[2,1,2,1,6,5]
[3,1,3,6,1,5]=>[3,1,3,1,2,6]
[3,1,3,6,5,1]=>[3,2,3,2,1,6]
[3,1,5,1,3,6]=>[5,2,5,2,3,1]
[3,1,5,1,6,3]=>[5,2,5,2,4,1]
[3,1,5,3,1,6]=>[5,3,5,3,2,1]
[3,1,5,3,6,1]=>[2,1,2,1,5,6]
[3,1,5,6,1,3]=>[3,1,3,1,6,2]
[3,1,5,6,3,1]=>[3,2,3,2,6,1]
[3,1,6,1,3,5]=>[4,1,4,1,3,2]
[3,1,6,1,5,3]=>[4,1,4,1,2,3]
[3,1,6,3,1,5]=>[4,2,4,2,3,1]
[3,1,6,3,5,1]=>[4,3,4,3,2,1]
[3,1,6,5,1,3]=>[4,2,4,2,1,3]
[3,1,6,5,3,1]=>[4,3,4,3,1,2]
[3,3,1,1,5,6]=>[4,1,4,1,6,2]
[3,3,1,1,6,5]=>[4,1,4,1,6,3]
[3,3,1,5,1,6]=>[4,2,4,2,6,1]
[3,3,1,5,6,1]=>[2,1,2,1,6,4]
[3,3,1,6,1,5]=>[3,1,3,1,2,5]
[3,3,1,6,5,1]=>[3,2,3,2,1,5]
[3,3,5,1,1,6]=>[3,1,3,1,5,6]
[3,3,5,1,6,1]=>[2,1,2,1,5,4]
[3,3,5,6,1,1]=>[2,1,5,4,1,2]
[3,3,6,1,1,5]=>[3,1,2,3,1,5]
[3,3,6,1,5,1]=>[3,2,1,3,2,5]
[3,3,6,5,1,1]=>[2,1,6,4,1,2]
[3,5,1,1,3,6]=>[4,1,4,1,2,6]
[3,5,1,1,6,3]=>[4,1,4,1,3,6]
[3,5,1,3,1,6]=>[4,2,4,2,1,6]
[3,5,1,3,6,1]=>[2,1,2,1,4,6]
[3,5,1,6,1,3]=>[3,1,3,1,5,2]
[3,5,1,6,3,1]=>[3,2,3,2,5,1]
[3,5,3,1,1,6]=>[3,1,3,1,6,5]
[3,5,3,1,6,1]=>[2,1,2,1,4,5]
[3,5,3,6,1,1]=>[2,1,4,5,1,2]
[3,5,6,1,1,3]=>[3,1,5,2,3,1]
[3,5,6,1,3,1]=>[3,2,5,1,3,2]
[3,5,6,3,1,1]=>[2,1,4,6,1,2]
[3,6,1,1,3,5]=>[4,1,3,4,1,2]
[3,6,1,1,5,3]=>[4,1,2,4,1,3]
[3,6,1,3,1,5]=>[4,2,3,4,2,1]
[3,6,1,3,5,1]=>[4,3,2,4,3,1]
[3,6,1,5,1,3]=>[4,2,1,4,2,3]
[3,6,1,5,3,1]=>[4,3,1,4,3,2]
[3,6,3,1,1,5]=>[3,1,2,3,1,6]
[3,6,3,1,5,1]=>[3,2,1,3,2,6]
[3,6,3,5,1,1]=>[2,1,6,5,1,2]
[3,6,5,1,1,3]=>[3,1,6,2,3,1]
[3,6,5,1,3,1]=>[3,2,6,1,3,2]
[3,6,5,3,1,1]=>[2,1,5,6,1,2]
[5,1,1,3,3,6]=>[1,1,4,4,6,2]
[5,1,1,3,6,3]=>[2,2,5,5,1,3]
[5,1,1,6,3,3]=>[2,2,5,3,1,5]
[5,1,3,1,3,6]=>[4,4,1,1,2,5]
[5,1,3,1,6,3]=>[4,4,1,1,3,5]
[5,1,3,3,1,6]=>[4,4,2,2,1,5]
[5,1,3,3,6,1]=>[2,2,1,1,3,6]
[5,1,3,6,1,3]=>[3,3,1,1,4,2]
[5,1,3,6,3,1]=>[3,3,2,2,4,1]
[5,1,6,1,3,3]=>[4,4,1,5,3,1]
[5,1,6,3,1,3]=>[3,3,1,4,2,1]
[5,1,6,3,3,1]=>[3,3,2,4,1,2]
[5,3,1,1,3,6]=>[4,1,4,1,2,5]
[5,3,1,1,6,3]=>[4,1,4,1,3,5]
[5,3,1,3,1,6]=>[4,2,4,2,1,5]
[5,3,1,3,6,1]=>[2,1,2,1,3,6]
[5,3,1,6,1,3]=>[3,1,3,1,4,2]
[5,3,1,6,3,1]=>[3,2,3,2,4,1]
[5,3,3,1,1,6]=>[3,1,3,1,6,4]
[5,3,3,1,6,1]=>[2,1,2,1,3,5]
[5,3,3,6,1,1]=>[2,1,3,5,1,2]
[5,3,6,1,1,3]=>[3,1,4,2,3,1]
[5,3,6,1,3,1]=>[3,2,4,1,3,2]
[5,3,6,3,1,1]=>[2,1,3,6,1,2]
[5,6,1,1,3,3]=>[4,5,3,4,1,1]
[5,6,1,3,1,3]=>[3,4,2,3,1,1]
[5,6,1,3,3,1]=>[3,4,1,3,2,2]
[5,6,3,1,1,3]=>[3,4,2,1,3,1]
[5,6,3,1,3,1]=>[3,4,1,2,3,2]
[5,6,3,3,1,1]=>[2,3,6,1,1,2]
[6,1,1,3,3,5]=>[5,4,5,1,1,3]
[6,1,1,3,5,3]=>[5,3,5,1,1,4]
[6,1,1,5,3,3]=>[5,2,5,1,4,1]
[6,1,3,1,3,5]=>[4,3,4,1,1,2]
[6,1,3,1,5,3]=>[4,2,4,1,1,3]
[6,1,3,3,1,5]=>[4,3,4,2,2,1]
[6,1,3,3,5,1]=>[4,2,4,3,3,1]
[6,1,3,5,1,3]=>[4,1,4,2,2,3]
[6,1,3,5,3,1]=>[4,1,4,3,3,2]
[6,1,5,1,3,3]=>[5,1,5,2,4,2]
[6,1,5,3,1,3]=>[3,6,3,1,2,1]
[6,1,5,3,3,1]=>[3,6,3,2,1,2]
[6,3,1,1,3,5]=>[4,3,1,4,1,2]
[6,3,1,1,5,3]=>[4,2,1,4,1,3]
[6,3,1,3,1,5]=>[4,3,2,4,2,1]
[6,3,1,3,5,1]=>[4,2,3,4,3,1]
[6,3,1,5,1,3]=>[4,1,2,4,2,3]
[6,3,1,5,3,1]=>[4,1,3,4,3,2]
[6,3,3,1,1,5]=>[3,2,1,3,1,6]
[6,3,3,1,5,1]=>[3,1,2,3,2,6]
[6,3,3,5,1,1]=>[2,6,1,5,1,2]
[6,3,5,1,1,3]=>[3,6,1,2,3,1]
[6,3,5,1,3,1]=>[3,6,2,1,3,2]
[6,3,5,3,1,1]=>[2,5,1,6,1,2]
[6,5,1,1,3,3]=>[4,6,3,4,1,1]
[6,5,1,3,1,3]=>[3,5,2,3,1,1]
[6,5,1,3,3,1]=>[3,5,1,3,2,2]
[6,5,3,1,1,3]=>[3,5,2,1,3,1]
[6,5,3,1,3,1]=>[3,5,1,2,3,2]
[6,5,3,3,1,1]=>[2,4,6,1,1,2]
[1,1,3,4,4,4]=>[1,1,3,4,4,4]
[1,1,4,3,4,4]=>[4,4,6,1,1,1]
[1,1,4,4,3,4]=>[3,3,5,1,1,1]
[1,1,4,4,4,3]=>[2,2,4,1,1,1]
[1,3,1,4,4,4]=>[1,1,4,3,3,3]
[1,3,4,1,4,4]=>[1,1,5,3,3,3]
[1,3,4,4,1,4]=>[1,1,6,3,3,3]
[1,3,4,4,4,1]=>[2,2,1,4,4,4]
[1,4,1,3,4,4]=>[5,5,1,2,2,2]
[1,4,1,4,3,4]=>[3,3,6,1,1,1]
[1,4,1,4,4,3]=>[2,2,5,1,1,1]
[1,4,3,1,4,4]=>[5,5,2,1,1,1]
[1,4,3,4,1,4]=>[5,5,3,1,1,1]
[1,4,3,4,4,1]=>[5,5,4,1,1,1]
[1,4,4,1,3,4]=>[4,4,1,2,2,2]
[1,4,4,1,4,3]=>[2,2,6,1,1,1]
[1,4,4,3,1,4]=>[4,4,2,1,1,1]
[1,4,4,3,4,1]=>[4,4,3,1,1,1]
[1,4,4,4,1,3]=>[3,3,1,2,2,2]
[1,4,4,4,3,1]=>[3,3,2,1,1,1]
[3,1,1,4,4,4]=>[1,1,4,2,2,2]
[3,1,4,1,4,4]=>[1,1,5,2,2,2]
[3,1,4,4,1,4]=>[1,1,6,2,2,2]
[3,1,4,4,4,1]=>[2,2,1,3,3,3]
[3,4,1,1,4,4]=>[1,2,1,5,2,2]
[3,4,1,4,1,4]=>[1,2,1,6,2,2]
[3,4,1,4,4,1]=>[2,3,2,1,3,3]
[3,4,4,1,1,4]=>[1,2,2,1,6,2]
[3,4,4,1,4,1]=>[2,3,3,2,1,3]
[3,4,4,4,1,1]=>[2,3,3,3,1,2]
[4,1,1,3,4,4]=>[5,2,5,1,2,2]
[4,1,1,4,3,4]=>[3,1,3,6,1,1]
[4,1,1,4,4,3]=>[2,1,2,5,1,1]
[4,1,3,1,4,4]=>[5,1,5,2,1,1]
[4,1,3,4,1,4]=>[5,1,5,3,1,1]
[4,1,3,4,4,1]=>[5,1,5,4,1,1]
[4,1,4,1,3,4]=>[4,2,4,1,2,2]
[4,1,4,1,4,3]=>[2,1,2,6,1,1]
[4,1,4,3,1,4]=>[4,1,4,2,1,1]
[4,1,4,3,4,1]=>[4,1,4,3,1,1]
[4,1,4,4,1,3]=>[3,2,3,1,2,2]
[4,1,4,4,3,1]=>[3,1,3,2,1,1]
[4,3,1,1,4,4]=>[1,3,1,5,3,3]
[4,3,1,4,1,4]=>[1,3,1,6,3,3]
[4,3,1,4,4,1]=>[2,4,2,1,4,4]
[4,3,4,1,1,4]=>[1,3,3,1,6,3]
[4,3,4,1,4,1]=>[2,4,4,2,1,4]
[4,3,4,4,1,1]=>[2,4,4,4,1,2]
[4,4,1,1,3,4]=>[4,2,2,4,1,2]
[4,4,1,1,4,3]=>[2,1,1,2,6,1]
[4,4,1,3,1,4]=>[4,1,1,4,2,1]
[4,4,1,3,4,1]=>[4,1,1,4,3,1]
[4,4,1,4,1,3]=>[3,2,2,3,1,2]
[4,4,1,4,3,1]=>[3,1,1,3,2,1]
[4,4,3,1,1,4]=>[5,1,1,5,3,1]
[4,4,3,1,4,1]=>[5,1,1,5,4,1]
[4,4,3,4,1,1]=>[5,1,1,1,4,5]
[4,4,4,1,1,3]=>[3,2,2,2,3,1]
[4,4,4,1,3,1]=>[3,1,1,1,3,2]
[4,4,4,3,1,1]=>[4,1,1,1,3,4]
[1,1,3,4,4,5]=>[1,1,3,4,4,5]
[1,1,3,4,5,4]=>[1,1,3,4,5,4]
[1,1,3,5,4,4]=>[1,1,3,4,6,4]
[1,1,4,3,4,5]=>[1,1,3,5,5,4]
[1,1,4,3,5,4]=>[1,1,3,5,4,5]
[1,1,4,4,3,5]=>[3,3,5,1,1,6]
[1,1,4,4,5,3]=>[2,2,4,1,1,5]
[1,1,4,5,3,4]=>[3,3,5,1,6,1]
[1,1,4,5,4,3]=>[2,2,4,1,5,1]
[1,1,5,3,4,4]=>[4,4,6,1,2,1]
[1,1,5,4,3,4]=>[4,4,6,2,1,2]
[1,1,5,4,4,3]=>[2,2,4,1,6,1]
[1,3,1,4,4,5]=>[1,1,4,3,3,5]
[1,3,1,4,5,4]=>[1,1,4,3,5,3]
[1,3,1,5,4,4]=>[1,1,4,3,6,3]
[1,3,4,1,4,5]=>[1,1,5,3,3,4]
[1,3,4,1,5,4]=>[1,1,5,3,4,3]
[1,3,4,4,1,5]=>[1,1,6,3,3,4]
[1,3,4,4,5,1]=>[2,2,1,4,5,4]
[1,3,4,5,1,4]=>[1,1,6,4,3,3]
[1,3,4,5,4,1]=>[2,2,1,5,4,4]
[1,3,5,1,4,4]=>[1,1,5,6,3,3]
[1,3,5,4,1,4]=>[1,1,6,5,3,3]
[1,3,5,4,4,1]=>[2,2,1,6,4,4]
[1,4,1,3,4,5]=>[1,1,4,5,5,3]
[1,4,1,3,5,4]=>[1,1,4,5,3,5]
[1,4,1,4,3,5]=>[3,3,6,1,1,5]
[1,4,1,4,5,3]=>[2,2,5,1,1,4]
[1,4,1,5,3,4]=>[3,3,6,1,5,1]
[1,4,1,5,4,3]=>[2,2,5,1,4,1]
[1,4,3,1,4,5]=>[1,1,5,4,4,3]
[1,4,3,1,5,4]=>[1,1,5,4,3,4]
[1,4,3,4,1,5]=>[1,1,6,4,4,3]
[1,4,3,4,5,1]=>[2,2,1,5,4,5]
[1,4,3,5,1,4]=>[1,1,6,3,4,4]
[1,4,3,5,4,1]=>[2,2,1,4,5,5]
[1,4,4,1,3,5]=>[4,4,1,2,2,6]
[1,4,4,1,5,3]=>[2,2,6,1,1,4]
[1,4,4,3,1,5]=>[4,4,2,1,1,6]
[1,4,4,3,5,1]=>[4,4,3,1,6,1]
[1,4,4,5,1,3]=>[3,3,1,2,5,2]
[1,4,4,5,3,1]=>[3,3,2,1,5,1]
[1,4,5,1,3,4]=>[4,4,1,6,2,2]
[1,4,5,1,4,3]=>[2,2,6,4,1,1]
[1,4,5,3,1,4]=>[4,4,2,6,1,1]
[1,4,5,3,4,1]=>[4,4,3,6,1,1]
[1,4,5,4,1,3]=>[3,3,1,5,2,2]
[1,4,5,4,3,1]=>[3,3,2,5,1,1]
[1,5,1,3,4,4]=>[5,5,1,3,2,2]
[1,5,1,4,3,4]=>[5,5,1,2,3,3]
[1,5,1,4,4,3]=>[2,2,5,6,1,1]
[1,5,3,1,4,4]=>[5,5,2,3,1,1]
[1,5,3,4,1,4]=>[5,5,3,2,1,1]
[1,5,3,4,4,1]=>[5,5,4,2,1,1]
[1,5,4,1,3,4]=>[5,5,2,1,3,3]
[1,5,4,1,4,3]=>[2,2,6,5,1,1]
[1,5,4,3,1,4]=>[5,5,3,1,2,2]
[1,5,4,3,4,1]=>[5,5,4,1,2,2]
[1,5,4,4,1,3]=>[3,3,1,6,2,2]
[1,5,4,4,3,1]=>[3,3,2,6,1,1]
[3,1,1,4,4,5]=>[1,1,4,2,2,5]
[3,1,1,4,5,4]=>[1,1,4,2,5,2]
[3,1,1,5,4,4]=>[1,1,4,2,6,2]
[3,1,4,1,4,5]=>[1,1,5,2,2,4]
[3,1,4,1,5,4]=>[1,1,5,2,4,2]
[3,1,4,4,1,5]=>[1,1,6,2,2,4]
[3,1,4,4,5,1]=>[2,2,1,3,5,3]
[3,1,4,5,1,4]=>[1,1,6,4,2,2]
[3,1,4,5,4,1]=>[2,2,1,5,3,3]
[3,1,5,1,4,4]=>[1,1,5,6,2,2]
[3,1,5,4,1,4]=>[1,1,6,5,2,2]
[3,1,5,4,4,1]=>[2,2,1,6,3,3]
[3,4,1,1,4,5]=>[1,1,5,2,2,3]
[3,4,1,1,5,4]=>[1,1,5,2,3,2]
[3,4,1,4,1,5]=>[1,1,6,2,2,3]
[3,4,1,4,5,1]=>[2,2,1,3,4,3]
[3,4,1,5,1,4]=>[1,1,6,3,2,2]
[3,4,1,5,4,1]=>[2,2,1,4,3,3]
[3,4,4,1,1,5]=>[1,2,1,6,2,3]
[3,4,4,1,5,1]=>[2,3,2,1,4,3]
[3,4,4,5,1,1]=>[2,3,4,3,1,2]
[3,4,5,1,1,4]=>[1,3,2,1,6,2]
[3,4,5,1,4,1]=>[2,4,3,2,1,3]
[3,4,5,4,1,1]=>[2,4,3,3,1,2]
[3,5,1,1,4,4]=>[1,6,1,5,2,2]
[3,5,1,4,1,4]=>[1,5,1,6,2,2]
[3,5,1,4,4,1]=>[2,6,2,1,3,3]
[3,5,4,1,1,4]=>[1,4,2,1,6,2]
[3,5,4,1,4,1]=>[2,5,3,2,1,3]
[3,5,4,4,1,1]=>[2,5,3,3,1,2]
[4,1,1,3,4,5]=>[1,1,4,5,5,2]
[4,1,1,3,5,4]=>[1,1,4,5,2,5]
[4,1,1,4,3,5]=>[3,3,6,1,1,4]
[4,1,1,4,5,3]=>[2,2,5,1,1,3]
[4,1,1,5,3,4]=>[3,3,6,1,4,1]
[4,1,1,5,4,3]=>[2,2,5,1,3,1]
[4,1,3,1,4,5]=>[1,1,5,4,4,2]
[4,1,3,1,5,4]=>[1,1,5,4,2,4]
[4,1,3,4,1,5]=>[1,1,6,4,4,2]
[4,1,3,4,5,1]=>[2,2,1,5,3,5]
[4,1,3,5,1,4]=>[1,1,6,2,4,4]
[4,1,3,5,4,1]=>[2,2,1,3,5,5]
[4,1,4,1,3,5]=>[4,4,1,2,2,5]
[4,1,4,1,5,3]=>[2,2,6,1,1,3]
[4,1,4,3,1,5]=>[4,4,2,1,1,5]
[4,1,4,3,5,1]=>[4,4,3,1,5,1]
[4,1,4,5,1,3]=>[3,3,1,2,4,2]
[4,1,4,5,3,1]=>[3,3,2,1,4,1]
[4,1,5,1,3,4]=>[4,4,1,5,2,2]
[4,1,5,1,4,3]=>[2,2,6,3,1,1]
[4,1,5,3,1,4]=>[4,4,2,5,1,1]
[4,1,5,3,4,1]=>[4,4,3,5,1,1]
[4,1,5,4,1,3]=>[3,3,1,4,2,2]
[4,1,5,4,3,1]=>[3,3,2,4,1,1]
[4,3,1,1,4,5]=>[1,1,5,3,3,2]
[4,3,1,1,5,4]=>[1,1,5,3,2,3]
[4,3,1,4,1,5]=>[1,1,6,3,3,2]
[4,3,1,4,5,1]=>[2,2,1,4,3,4]
[4,3,1,5,1,4]=>[1,1,6,2,3,3]
[4,3,1,5,4,1]=>[2,2,1,3,4,4]
[4,3,4,1,1,5]=>[1,3,1,6,3,2]
[4,3,4,1,5,1]=>[2,4,2,1,3,4]
[4,3,4,5,1,1]=>[2,4,3,4,1,2]
[4,3,5,1,1,4]=>[1,2,3,1,6,3]
[4,3,5,1,4,1]=>[2,3,4,2,1,4]
[4,3,5,4,1,1]=>[2,3,4,4,1,2]
[4,4,1,1,3,5]=>[4,2,4,1,2,5]
[4,4,1,1,5,3]=>[2,1,2,6,1,3]
[4,4,1,3,1,5]=>[4,1,4,2,1,5]
[4,4,1,3,5,1]=>[4,1,4,3,5,1]
[4,4,1,5,1,3]=>[3,2,3,1,4,2]
[4,4,1,5,3,1]=>[3,1,3,2,4,1]
[4,4,3,1,1,5]=>[1,4,1,6,4,2]
[4,4,3,1,5,1]=>[2,5,2,1,3,5]
[4,4,3,5,1,1]=>[2,5,3,5,1,2]
[4,4,5,1,1,3]=>[3,2,4,2,3,1]
[4,4,5,1,3,1]=>[3,1,4,1,3,2]
[4,4,5,3,1,1]=>[4,1,5,1,3,4]
[4,5,1,1,3,4]=>[4,5,2,4,1,2]
[4,5,1,1,4,3]=>[2,3,1,2,6,1]
[4,5,1,3,1,4]=>[4,5,1,4,2,1]
[4,5,1,3,4,1]=>[4,5,1,4,3,1]
[4,5,1,4,1,3]=>[3,4,2,3,1,2]
[4,5,1,4,3,1]=>[3,4,1,3,2,1]
[4,5,3,1,1,4]=>[1,2,4,1,6,4]
[4,5,3,1,4,1]=>[2,3,5,2,1,5]
[4,5,3,4,1,1]=>[2,3,5,5,1,2]
[4,5,4,1,1,3]=>[3,4,2,2,3,1]
[4,5,4,1,3,1]=>[3,4,1,1,3,2]
[4,5,4,3,1,1]=>[4,5,1,1,3,4]
[5,1,1,3,4,4]=>[5,3,5,1,2,2]
[5,1,1,4,3,4]=>[5,2,5,1,3,3]
[5,1,1,4,4,3]=>[2,6,2,5,1,1]
[5,1,3,1,4,4]=>[5,3,5,2,1,1]
[5,1,3,4,1,4]=>[5,2,5,3,1,1]
[5,1,3,4,4,1]=>[5,2,5,4,1,1]
[5,1,4,1,3,4]=>[5,1,5,2,3,3]
[5,1,4,1,4,3]=>[2,5,2,6,1,1]
[5,1,4,3,1,4]=>[5,1,5,3,2,2]
[5,1,4,3,4,1]=>[5,1,5,4,2,2]
[5,1,4,4,1,3]=>[3,6,3,1,2,2]
[5,1,4,4,3,1]=>[3,6,3,2,1,1]
[5,3,1,1,4,4]=>[1,6,1,5,3,3]
[5,3,1,4,1,4]=>[1,5,1,6,3,3]
[5,3,1,4,4,1]=>[2,6,2,1,4,4]
[5,3,4,1,1,4]=>[1,4,3,1,6,3]
[5,3,4,1,4,1]=>[2,5,4,2,1,4]
[5,3,4,4,1,1]=>[2,5,4,4,1,2]
[5,4,1,1,3,4]=>[4,6,2,4,1,2]
[5,4,1,1,4,3]=>[2,4,1,2,6,1]
[5,4,1,3,1,4]=>[4,6,1,4,2,1]
[5,4,1,3,4,1]=>[4,6,1,4,3,1]
[5,4,1,4,1,3]=>[3,5,2,3,1,2]
[5,4,1,4,3,1]=>[3,5,1,3,2,1]
[5,4,3,1,1,4]=>[1,3,4,1,6,4]
[5,4,3,1,4,1]=>[2,4,5,2,1,5]
[5,4,3,4,1,1]=>[2,4,5,5,1,2]
[5,4,4,1,1,3]=>[3,5,2,2,3,1]
[5,4,4,1,3,1]=>[3,5,1,1,3,2]
[5,4,4,3,1,1]=>[4,6,1,1,3,4]
[1,1,3,4,4,6]=>[1,1,3,4,4,6]
[1,1,3,4,6,4]=>[2,2,4,5,5,1]
[1,1,3,6,4,4]=>[2,2,4,5,1,5]
[1,1,4,3,4,6]=>[4,4,6,1,1,2]
[1,1,4,3,6,4]=>[4,4,6,1,1,3]
[1,1,4,4,3,6]=>[4,4,6,2,2,1]
[1,1,4,4,6,3]=>[2,2,4,1,1,6]
[1,1,4,6,3,4]=>[3,3,5,1,1,2]
[1,1,4,6,4,3]=>[3,3,5,2,2,1]
[1,1,6,3,4,4]=>[4,4,6,1,3,1]
[1,1,6,4,3,4]=>[3,3,5,1,2,1]
[1,1,6,4,4,3]=>[3,3,5,2,1,2]
[1,3,1,4,4,6]=>[1,1,4,3,3,6]
[1,3,1,4,6,4]=>[2,2,5,4,4,1]
[1,3,1,6,4,4]=>[2,2,5,4,1,4]
[1,3,4,1,4,6]=>[1,1,5,3,3,6]
[1,3,4,1,6,4]=>[2,2,6,4,4,1]
[1,3,4,4,1,6]=>[1,1,6,3,3,5]
[1,3,4,4,6,1]=>[2,2,1,4,6,4]
[1,3,4,6,1,4]=>[3,3,1,5,2,5]
[1,3,4,6,4,1]=>[3,3,2,5,1,5]
[1,3,6,1,4,4]=>[2,2,6,1,4,4]
[1,3,6,4,1,4]=>[3,3,1,2,5,5]
[1,3,6,4,4,1]=>[3,3,2,1,5,5]
[1,4,1,3,4,6]=>[5,5,1,2,2,3]
[1,4,1,3,6,4]=>[5,5,1,2,2,4]
[1,4,1,4,3,6]=>[5,5,1,3,3,2]
[1,4,1,4,6,3]=>[2,2,5,1,1,6]
[1,4,1,6,3,4]=>[3,3,6,1,1,2]
[1,4,1,6,4,3]=>[3,3,6,2,2,1]
[1,4,3,1,4,6]=>[5,5,2,1,1,3]
[1,4,3,1,6,4]=>[5,5,2,1,1,4]
[1,4,3,4,1,6]=>[5,5,3,1,1,2]
[1,4,3,4,6,1]=>[5,5,4,1,2,1]
[1,4,3,6,1,4]=>[5,5,3,1,4,1]
[1,4,3,6,4,1]=>[5,5,4,1,3,1]
[1,4,4,1,3,6]=>[5,5,2,3,3,1]
[1,4,4,1,6,3]=>[2,2,6,1,1,5]
[1,4,4,3,1,6]=>[5,5,3,2,2,1]
[1,4,4,3,6,1]=>[5,5,4,2,1,2]
[1,4,4,6,1,3]=>[3,3,1,2,6,2]
[1,4,4,6,3,1]=>[3,3,2,1,6,1]
[1,4,6,1,3,4]=>[4,4,1,2,3,2]
[1,4,6,1,4,3]=>[4,4,1,3,2,3]
[1,4,6,3,1,4]=>[4,4,2,1,3,1]
[1,4,6,3,4,1]=>[4,4,3,1,2,1]
[1,4,6,4,1,3]=>[4,4,2,3,1,3]
[1,4,6,4,3,1]=>[4,4,3,2,1,2]
[1,6,1,3,4,4]=>[5,5,1,4,2,2]
[1,6,1,4,3,4]=>[3,3,6,2,1,1]
[1,6,1,4,4,3]=>[3,3,6,1,2,2]
[1,6,3,1,4,4]=>[5,5,2,4,1,1]
[1,6,3,4,1,4]=>[5,5,3,4,1,1]
[1,6,3,4,4,1]=>[5,5,4,3,1,1]
[1,6,4,1,3,4]=>[4,4,1,3,2,2]
[1,6,4,1,4,3]=>[4,4,1,2,3,3]
[1,6,4,3,1,4]=>[4,4,2,3,1,1]
[1,6,4,3,4,1]=>[4,4,3,2,1,1]
[1,6,4,4,1,3]=>[4,4,2,1,3,3]
[1,6,4,4,3,1]=>[4,4,3,1,2,2]
[3,1,1,4,4,6]=>[1,1,4,2,2,6]
[3,1,1,4,6,4]=>[2,2,5,3,3,1]
[3,1,1,6,4,4]=>[2,2,5,3,1,3]
[3,1,4,1,4,6]=>[1,1,5,2,2,6]
[3,1,4,1,6,4]=>[2,2,6,3,3,1]
[3,1,4,4,1,6]=>[1,1,6,2,2,5]
[3,1,4,4,6,1]=>[2,2,1,3,6,3]
[3,1,4,6,1,4]=>[3,3,1,4,2,4]
[3,1,4,6,4,1]=>[3,3,2,4,1,4]
[3,1,6,1,4,4]=>[2,2,6,1,3,3]
[3,1,6,4,1,4]=>[3,3,1,2,4,4]
[3,1,6,4,4,1]=>[3,3,2,1,4,4]
[3,4,1,1,4,6]=>[1,2,1,5,2,6]
[3,4,1,1,6,4]=>[2,3,2,6,3,1]
[3,4,1,4,1,6]=>[1,2,1,6,2,5]
[3,4,1,4,6,1]=>[2,3,2,1,6,3]
[3,4,1,6,1,4]=>[3,4,3,1,2,4]
[3,4,1,6,4,1]=>[3,4,3,2,1,4]
[3,4,4,1,1,6]=>[1,2,1,6,2,4]
[3,4,4,1,6,1]=>[2,3,2,1,5,3]
[3,4,4,6,1,1]=>[2,3,5,3,1,2]
[3,4,6,1,1,4]=>[3,4,2,3,1,4]
[3,4,6,1,4,1]=>[3,4,1,3,2,4]
[3,4,6,4,1,1]=>[2,3,6,3,1,2]
[3,6,1,1,4,4]=>[2,1,2,6,3,3]
[3,6,1,4,1,4]=>[3,2,3,1,4,4]
[3,6,1,4,4,1]=>[3,1,3,2,4,4]
[3,6,4,1,1,4]=>[3,2,4,3,1,4]
[3,6,4,1,4,1]=>[3,1,4,3,2,4]
[3,6,4,4,1,1]=>[2,6,3,3,1,2]
[4,1,1,3,4,6]=>[5,2,5,1,2,3]
[4,1,1,3,6,4]=>[5,2,5,1,2,4]
[4,1,1,4,3,6]=>[5,3,5,1,3,2]
[4,1,1,4,6,3]=>[2,1,2,5,1,6]
[4,1,1,6,3,4]=>[3,1,3,6,1,2]
[4,1,1,6,4,3]=>[3,2,3,6,2,1]
[4,1,3,1,4,6]=>[5,1,5,2,1,3]
[4,1,3,1,6,4]=>[5,1,5,2,1,4]
[4,1,3,4,1,6]=>[5,1,5,3,1,2]
[4,1,3,4,6,1]=>[5,1,5,4,2,1]
[4,1,3,6,1,4]=>[5,1,5,3,4,1]
[4,1,3,6,4,1]=>[5,1,5,4,3,1]
[4,1,4,1,3,6]=>[5,3,5,2,3,1]
[4,1,4,1,6,3]=>[2,1,2,6,1,5]
[4,1,4,3,1,6]=>[5,2,5,3,2,1]
[4,1,4,3,6,1]=>[5,2,5,4,1,2]
[4,1,4,6,1,3]=>[3,2,3,1,6,2]
[4,1,4,6,3,1]=>[3,1,3,2,6,1]
[4,1,6,1,3,4]=>[4,2,4,1,3,2]
[4,1,6,1,4,3]=>[4,3,4,1,2,3]
[4,1,6,3,1,4]=>[4,1,4,2,3,1]
[4,1,6,3,4,1]=>[4,1,4,3,2,1]
[4,1,6,4,1,3]=>[4,3,4,2,1,3]
[4,1,6,4,3,1]=>[4,2,4,3,1,2]
[4,3,1,1,4,6]=>[1,3,1,5,3,6]
[4,3,1,1,6,4]=>[2,4,2,6,4,1]
[4,3,1,4,1,6]=>[1,3,1,6,3,5]
[4,3,1,4,6,1]=>[2,4,2,1,6,4]
[4,3,1,6,1,4]=>[3,5,3,1,2,5]
[4,3,1,6,4,1]=>[3,5,3,2,1,5]
[4,3,4,1,1,6]=>[1,3,1,6,3,4]
[4,3,4,1,6,1]=>[2,4,2,1,5,4]
[4,3,4,6,1,1]=>[2,4,5,4,1,2]
[4,3,6,1,1,4]=>[3,5,2,3,1,5]
[4,3,6,1,4,1]=>[3,5,1,3,2,5]
[4,3,6,4,1,1]=>[2,4,6,4,1,2]
[4,4,1,1,3,6]=>[4,2,4,1,2,6]
[4,4,1,1,6,3]=>[2,1,2,6,1,4]
[4,4,1,3,1,6]=>[4,1,4,2,1,6]
[4,4,1,3,6,1]=>[4,1,4,3,6,1]
[4,4,1,6,1,3]=>[3,2,3,1,5,2]
[4,4,1,6,3,1]=>[3,1,3,2,5,1]
[4,4,3,1,1,6]=>[1,4,1,6,4,3]
[4,4,3,1,6,1]=>[2,5,2,1,4,5]
[4,4,3,6,1,1]=>[2,5,4,5,1,2]
[4,4,6,1,1,3]=>[3,2,5,2,3,1]
[4,4,6,1,3,1]=>[3,1,5,1,3,2]
[4,4,6,3,1,1]=>[4,1,6,1,3,4]
[4,6,1,1,3,4]=>[4,2,3,4,1,2]
[4,6,1,1,4,3]=>[4,3,2,4,1,3]
[4,6,1,3,1,4]=>[4,1,3,4,2,1]
[4,6,1,3,4,1]=>[4,1,2,4,3,1]
[4,6,1,4,1,3]=>[4,3,1,4,2,3]
[4,6,1,4,3,1]=>[4,2,1,4,3,2]
[4,6,3,1,1,4]=>[5,1,4,5,3,1]
[4,6,3,1,4,1]=>[5,1,3,5,4,1]
[4,6,3,4,1,1]=>[5,1,2,1,4,5]
[4,6,4,1,1,3]=>[3,2,6,2,3,1]
[4,6,4,1,3,1]=>[3,1,6,1,3,2]
[4,6,4,3,1,1]=>[5,2,1,2,4,5]
[6,1,1,3,4,4]=>[5,4,5,1,2,2]
[6,1,1,4,3,4]=>[3,2,3,6,1,1]
[6,1,1,4,4,3]=>[3,1,3,6,2,2]
[6,1,3,1,4,4]=>[5,4,5,2,1,1]
[6,1,3,4,1,4]=>[5,4,5,3,1,1]
[6,1,3,4,4,1]=>[5,3,5,4,1,1]
[6,1,4,1,3,4]=>[4,3,4,1,2,2]
[6,1,4,1,4,3]=>[4,2,4,1,3,3]
[6,1,4,3,1,4]=>[4,3,4,2,1,1]
[6,1,4,3,4,1]=>[4,2,4,3,1,1]
[6,1,4,4,1,3]=>[4,1,4,2,3,3]
[6,1,4,4,3,1]=>[4,1,4,3,2,2]
[6,3,1,1,4,4]=>[2,1,2,6,4,4]
[6,3,1,4,1,4]=>[3,2,3,1,5,5]
[6,3,1,4,4,1]=>[3,1,3,2,5,5]
[6,3,4,1,1,4]=>[3,2,5,3,1,5]
[6,3,4,1,4,1]=>[3,1,5,3,2,5]
[6,3,4,4,1,1]=>[2,6,4,4,1,2]
[6,4,1,1,3,4]=>[4,3,2,4,1,2]
[6,4,1,1,4,3]=>[4,2,3,4,1,3]
[6,4,1,3,1,4]=>[4,3,1,4,2,1]
[6,4,1,3,4,1]=>[4,2,1,4,3,1]
[6,4,1,4,1,3]=>[4,1,3,4,2,3]
[6,4,1,4,3,1]=>[4,1,2,4,3,2]
[6,4,3,1,1,4]=>[5,4,1,5,3,1]
[6,4,3,1,4,1]=>[5,3,1,5,4,1]
[6,4,3,4,1,1]=>[5,2,1,1,4,5]
[6,4,4,1,1,3]=>[3,6,2,2,3,1]
[6,4,4,1,3,1]=>[3,6,1,1,3,2]
[6,4,4,3,1,1]=>[5,1,2,2,4,5]
[1,1,3,4,5,5]=>[1,1,3,4,5,5]
[1,1,3,5,4,5]=>[3,3,5,6,1,1]
[1,1,3,5,5,4]=>[2,2,4,5,1,1]
[1,1,4,3,5,5]=>[1,1,3,5,4,4]
[1,1,4,5,3,5]=>[1,1,3,6,4,4]
[1,1,4,5,5,3]=>[2,2,4,1,5,5]
[1,1,5,3,4,5]=>[4,4,6,1,2,2]
[1,1,5,3,5,4]=>[2,2,4,6,1,1]
[1,1,5,4,3,5]=>[4,4,6,2,1,1]
[1,1,5,4,5,3]=>[4,4,6,3,1,1]
[1,1,5,5,3,4]=>[3,3,5,1,2,2]
[1,1,5,5,4,3]=>[3,3,5,2,1,1]
[1,3,1,4,5,5]=>[1,1,4,3,5,5]
[1,3,1,5,4,5]=>[3,3,6,5,1,1]
[1,3,1,5,5,4]=>[2,2,5,4,1,1]
[1,3,4,1,5,5]=>[1,1,5,3,4,4]
[1,3,4,5,1,5]=>[1,1,6,4,3,4]
[1,3,4,5,5,1]=>[2,2,1,5,5,4]
[1,3,5,1,4,5]=>[4,4,1,2,6,2]
[1,3,5,1,5,4]=>[2,2,6,1,4,1]
[1,3,5,4,1,5]=>[4,4,2,1,6,1]
[1,3,5,4,5,1]=>[4,4,3,1,1,6]
[1,3,5,5,1,4]=>[3,3,1,2,2,5]
[1,3,5,5,4,1]=>[3,3,2,1,1,5]
[1,4,1,3,5,5]=>[1,1,4,5,3,3]
[1,4,1,5,3,5]=>[1,1,4,6,3,3]
[1,4,1,5,5,3]=>[2,2,5,1,4,4]
[1,4,3,1,5,5]=>[1,1,5,4,3,3]
[1,4,3,5,1,5]=>[1,1,6,3,4,3]
[1,4,3,5,5,1]=>[2,2,1,4,4,5]
[1,4,5,1,3,5]=>[1,1,5,3,6,3]
[1,4,5,1,5,3]=>[2,2,6,4,1,4]
[1,4,5,3,1,5]=>[1,1,6,3,5,3]
[1,4,5,3,5,1]=>[2,2,1,4,4,6]
[1,4,5,5,1,3]=>[3,3,1,5,5,2]
[1,4,5,5,3,1]=>[3,3,2,5,5,1]
[1,5,1,3,4,5]=>[5,5,1,3,2,3]
[1,5,1,3,5,4]=>[2,2,5,1,6,1]
[1,5,1,4,3,5]=>[5,5,1,2,3,2]
[1,5,1,4,5,3]=>[5,5,1,2,4,2]
[1,5,1,5,3,4]=>[3,3,6,2,1,2]
[1,5,1,5,4,3]=>[3,3,6,1,2,1]
[1,5,3,1,4,5]=>[5,5,2,3,1,3]
[1,5,3,1,5,4]=>[2,2,6,1,5,1]
[1,5,3,4,1,5]=>[5,5,3,2,1,2]
[1,5,3,4,5,1]=>[5,5,4,2,2,1]
[1,5,3,5,1,4]=>[3,3,1,2,2,6]
[1,5,3,5,4,1]=>[3,3,2,1,1,6]
[1,5,4,1,3,5]=>[5,5,2,1,3,1]
[1,5,4,1,5,3]=>[5,5,2,1,4,1]
[1,5,4,3,1,5]=>[5,5,3,1,2,1]
[1,5,4,3,5,1]=>[5,5,4,1,1,2]
[1,5,4,5,1,3]=>[5,5,3,1,1,4]
[1,5,4,5,3,1]=>[5,5,4,1,1,3]
[1,5,5,1,3,4]=>[4,4,1,3,3,2]
[1,5,5,1,4,3]=>[4,4,1,2,2,3]
[1,5,5,3,1,4]=>[4,4,2,3,3,1]
[1,5,5,3,4,1]=>[4,4,3,2,2,1]
[1,5,5,4,1,3]=>[4,4,2,1,1,3]
[1,5,5,4,3,1]=>[4,4,3,1,1,2]
[3,1,1,4,5,5]=>[1,1,4,2,5,5]
[3,1,1,5,4,5]=>[3,3,6,4,1,1]
[3,1,1,5,5,4]=>[2,2,5,3,1,1]
[3,1,4,1,5,5]=>[1,1,5,2,4,4]
[3,1,4,5,1,5]=>[1,1,6,4,2,4]
[3,1,4,5,5,1]=>[2,2,1,5,5,3]
[3,1,5,1,4,5]=>[4,4,1,2,5,2]
[3,1,5,1,5,4]=>[2,2,6,1,3,1]
[3,1,5,4,1,5]=>[4,4,2,1,5,1]
[3,1,5,4,5,1]=>[4,4,3,1,1,5]
[3,1,5,5,1,4]=>[3,3,1,2,2,4]
[3,1,5,5,4,1]=>[3,3,2,1,1,4]
[3,4,1,1,5,5]=>[1,1,5,2,3,3]
[3,4,1,5,1,5]=>[1,1,6,3,2,3]
[3,4,1,5,5,1]=>[2,2,1,4,4,3]
[3,4,5,1,1,5]=>[1,3,1,6,2,3]
[3,4,5,1,5,1]=>[2,4,2,1,4,3]
[3,4,5,5,1,1]=>[2,4,4,3,1,2]
[3,5,1,1,4,5]=>[4,2,4,1,5,2]
[3,5,1,1,5,4]=>[2,1,2,6,3,1]
[3,5,1,4,1,5]=>[4,1,4,2,5,1]
[3,5,1,4,5,1]=>[4,1,4,3,1,5]
[3,5,1,5,1,4]=>[3,2,3,1,2,4]
[3,5,1,5,4,1]=>[3,1,3,2,1,4]
[3,5,4,1,1,5]=>[1,4,1,6,2,4]
[3,5,4,1,5,1]=>[2,5,2,1,5,3]
[3,5,4,5,1,1]=>[2,5,5,3,1,2]
[3,5,5,1,1,4]=>[3,2,2,3,1,4]
[3,5,5,1,4,1]=>[3,1,1,3,2,4]
[3,5,5,4,1,1]=>[4,1,1,5,3,4]
[4,1,1,3,5,5]=>[1,1,4,5,2,2]
[4,1,1,5,3,5]=>[1,1,4,6,2,2]
[4,1,1,5,5,3]=>[2,2,5,1,3,3]
[4,1,3,1,5,5]=>[1,1,5,4,2,2]
[4,1,3,5,1,5]=>[1,1,6,2,4,2]
[4,1,3,5,5,1]=>[2,2,1,3,3,5]
[4,1,5,1,3,5]=>[1,1,5,2,6,2]
[4,1,5,1,5,3]=>[2,2,6,3,1,3]
[4,1,5,3,1,5]=>[1,1,6,2,5,2]
[4,1,5,3,5,1]=>[2,2,1,3,3,6]
[4,1,5,5,1,3]=>[3,3,1,4,4,2]
[4,1,5,5,3,1]=>[3,3,2,4,4,1]
[4,3,1,1,5,5]=>[1,1,5,3,2,2]
[4,3,1,5,1,5]=>[1,1,6,2,3,2]
[4,3,1,5,5,1]=>[2,2,1,3,3,4]
[4,3,5,1,1,5]=>[1,2,1,6,3,2]
[4,3,5,1,5,1]=>[2,3,2,1,3,4]
[4,3,5,5,1,1]=>[2,3,3,4,1,2]
[4,5,1,1,3,5]=>[1,2,1,5,6,2]
[4,5,1,1,5,3]=>[2,3,2,6,1,3]
[4,5,1,3,1,5]=>[1,2,1,6,5,2]
[4,5,1,3,5,1]=>[2,3,2,1,3,6]
[4,5,1,5,1,3]=>[3,4,3,1,4,2]
[4,5,1,5,3,1]=>[3,4,3,2,4,1]
[4,5,3,1,1,5]=>[1,2,1,6,4,2]
[4,5,3,1,5,1]=>[2,3,2,1,3,5]
[4,5,3,5,1,1]=>[2,3,3,5,1,2]
[4,5,5,1,1,3]=>[3,4,4,2,3,1]
[4,5,5,1,3,1]=>[3,4,4,1,3,2]
[4,5,5,3,1,1]=>[2,3,3,6,1,2]
[5,1,1,3,4,5]=>[5,3,5,1,2,3]
[5,1,1,3,5,4]=>[2,1,2,5,6,1]
[5,1,1,4,3,5]=>[5,2,5,1,3,2]
[5,1,1,4,5,3]=>[5,2,5,1,4,2]
[5,1,1,5,3,4]=>[3,2,3,6,1,2]
[5,1,1,5,4,3]=>[3,1,3,6,2,1]
[5,1,3,1,4,5]=>[5,3,5,2,1,3]
[5,1,3,1,5,4]=>[2,1,2,6,5,1]
[5,1,3,4,1,5]=>[5,2,5,3,1,2]
[5,1,3,4,5,1]=>[5,2,5,4,2,1]
[5,1,3,5,1,4]=>[3,2,3,1,2,6]
[5,1,3,5,4,1]=>[3,1,3,2,1,6]
[5,1,4,1,3,5]=>[5,1,5,2,3,1]
[5,1,4,1,5,3]=>[5,1,5,2,4,1]
[5,1,4,3,1,5]=>[5,1,5,3,2,1]
[5,1,4,3,5,1]=>[5,1,5,4,1,2]
[5,1,4,5,1,3]=>[5,1,5,3,1,4]
[5,1,4,5,3,1]=>[5,1,5,4,1,3]
[5,1,5,1,3,4]=>[4,3,4,1,3,2]
[5,1,5,1,4,3]=>[4,2,4,1,2,3]
[5,1,5,3,1,4]=>[4,3,4,2,3,1]
[5,1,5,3,4,1]=>[4,2,4,3,2,1]
[5,1,5,4,1,3]=>[4,1,4,2,1,3]
[5,1,5,4,3,1]=>[4,1,4,3,1,2]
[5,3,1,1,4,5]=>[4,2,4,1,6,2]
[5,3,1,1,5,4]=>[2,1,2,6,4,1]
[5,3,1,4,1,5]=>[4,1,4,2,6,1]
[5,3,1,4,5,1]=>[4,1,4,3,1,6]
[5,3,1,5,1,4]=>[3,2,3,1,2,5]
[5,3,1,5,4,1]=>[3,1,3,2,1,5]
[5,3,4,1,1,5]=>[1,4,1,6,3,4]
[5,3,4,1,5,1]=>[2,5,2,1,5,4]
[5,3,4,5,1,1]=>[2,5,5,4,1,2]
[5,3,5,1,1,4]=>[3,2,2,3,1,5]
[5,3,5,1,4,1]=>[3,1,1,3,2,5]
[5,3,5,4,1,1]=>[4,1,1,6,3,4]
[5,4,1,1,3,5]=>[1,3,1,5,6,3]
[5,4,1,1,5,3]=>[2,4,2,6,1,4]
[5,4,1,3,1,5]=>[1,3,1,6,5,3]
[5,4,1,3,5,1]=>[2,4,2,1,4,6]
[5,4,1,5,1,3]=>[3,5,3,1,5,2]
[5,4,1,5,3,1]=>[3,5,3,2,5,1]
[5,4,3,1,1,5]=>[1,3,1,6,4,3]
[5,4,3,1,5,1]=>[2,4,2,1,4,5]
[5,4,3,5,1,1]=>[2,4,4,5,1,2]
[5,4,5,1,1,3]=>[3,5,5,2,3,1]
[5,4,5,1,3,1]=>[3,5,5,1,3,2]
[5,4,5,3,1,1]=>[2,4,4,6,1,2]
[5,5,1,1,3,4]=>[4,3,3,4,1,2]
[5,5,1,1,4,3]=>[4,2,2,4,1,3]
[5,5,1,3,1,4]=>[4,3,3,4,2,1]
[5,5,1,3,4,1]=>[4,2,2,4,3,1]
[5,5,1,4,1,3]=>[4,1,1,4,2,3]
[5,5,1,4,3,1]=>[4,1,1,4,3,2]
[5,5,3,1,1,4]=>[3,2,2,3,1,6]
[5,5,3,1,4,1]=>[3,1,1,3,2,6]
[5,5,3,4,1,1]=>[5,2,2,1,4,5]
[5,5,4,1,1,3]=>[5,1,1,4,5,3]
[5,5,4,1,3,1]=>[5,1,1,3,5,4]
[5,5,4,3,1,1]=>[5,1,1,2,4,5]
[1,1,3,4,5,6]=>[1,1,3,4,5,6]
[1,1,3,4,6,5]=>[2,2,4,5,6,1]
[1,1,3,5,4,6]=>[1,1,3,4,6,5]
[1,1,3,5,6,4]=>[2,2,4,5,1,6]
[1,1,3,6,4,5]=>[3,3,5,6,1,2]
[1,1,3,6,5,4]=>[3,3,5,6,2,1]
[1,1,4,3,5,6]=>[1,1,3,5,4,6]
[1,1,4,3,6,5]=>[2,2,4,6,5,1]
[1,1,4,5,3,6]=>[1,1,3,6,4,5]
[1,1,4,5,6,3]=>[2,2,4,1,6,5]
[1,1,4,6,3,5]=>[3,3,5,1,2,6]
[1,1,4,6,5,3]=>[3,3,5,2,1,6]
[1,1,5,3,4,6]=>[1,1,3,5,6,4]
[1,1,5,3,6,4]=>[2,2,4,6,1,5]
[1,1,5,4,3,6]=>[1,1,3,6,5,4]
[1,1,5,4,6,3]=>[2,2,4,1,5,6]
[1,1,5,6,3,4]=>[3,3,5,1,6,2]
[1,1,5,6,4,3]=>[3,3,5,2,6,1]
[1,1,6,3,4,5]=>[4,4,6,1,3,2]
[1,1,6,3,5,4]=>[4,4,6,1,2,3]
[1,1,6,4,3,5]=>[4,4,6,2,3,1]
[1,1,6,4,5,3]=>[4,4,6,3,2,1]
[1,1,6,5,3,4]=>[4,4,6,2,1,3]
[1,1,6,5,4,3]=>[4,4,6,3,1,2]
[1,3,1,4,5,6]=>[1,1,4,3,5,6]
[1,3,1,4,6,5]=>[2,2,5,4,6,1]
[1,3,1,5,4,6]=>[1,1,4,3,6,5]
[1,3,1,5,6,4]=>[2,2,5,4,1,6]
[1,3,1,6,4,5]=>[3,3,6,5,1,2]
[1,3,1,6,5,4]=>[3,3,6,5,2,1]
[1,3,4,1,5,6]=>[1,1,5,3,4,6]
[1,3,4,1,6,5]=>[2,2,6,4,5,1]
[1,3,4,5,1,6]=>[1,1,6,3,4,5]
[1,3,4,5,6,1]=>[2,2,1,6,5,4]
[1,3,4,6,1,5]=>[3,3,1,2,5,6]
[1,3,4,6,5,1]=>[3,3,2,1,6,5]
[1,3,5,1,4,6]=>[1,1,5,3,6,4]
[1,3,5,1,6,4]=>[2,2,6,4,1,5]
[1,3,5,4,1,6]=>[1,1,6,3,5,4]
[1,3,5,4,6,1]=>[2,2,1,5,6,4]
[1,3,5,6,1,4]=>[3,3,1,6,2,5]
[1,3,5,6,4,1]=>[3,3,2,6,1,5]
[1,3,6,1,4,5]=>[4,4,1,3,6,2]
[1,3,6,1,5,4]=>[4,4,1,2,6,3]
[1,3,6,4,1,5]=>[4,4,2,3,6,1]
[1,3,6,4,5,1]=>[4,4,3,2,1,6]
[1,3,6,5,1,4]=>[4,4,2,1,3,6]
[1,3,6,5,4,1]=>[4,4,3,1,2,6]
[1,4,1,3,5,6]=>[1,1,4,5,3,6]
[1,4,1,3,6,5]=>[2,2,5,6,4,1]
[1,4,1,5,3,6]=>[1,1,4,6,3,5]
[1,4,1,5,6,3]=>[2,2,5,1,6,4]
[1,4,1,6,3,5]=>[3,3,6,1,2,5]
[1,4,1,6,5,3]=>[3,3,6,2,1,5]
[1,4,3,1,5,6]=>[1,1,5,4,3,6]
[1,4,3,1,6,5]=>[2,2,6,5,4,1]
[1,4,3,5,1,6]=>[1,1,6,4,3,5]
[1,4,3,5,6,1]=>[2,2,1,6,4,5]
[1,4,3,6,1,5]=>[3,3,1,2,6,5]
[1,4,3,6,5,1]=>[3,3,2,1,5,6]
[1,4,5,1,3,6]=>[1,1,5,6,3,4]
[1,4,5,1,6,3]=>[2,2,6,1,5,4]
[1,4,5,3,1,6]=>[1,1,6,5,3,4]
[1,4,5,3,6,1]=>[2,2,1,5,4,6]
[1,4,5,6,1,3]=>[3,3,1,6,5,2]
[1,4,5,6,3,1]=>[3,3,2,6,5,1]
[1,4,6,1,3,5]=>[4,4,1,3,2,6]
[1,4,6,1,5,3]=>[4,4,1,2,3,6]
[1,4,6,3,1,5]=>[4,4,2,3,1,6]
[1,4,6,3,5,1]=>[4,4,3,2,6,1]
[1,4,6,5,1,3]=>[4,4,2,1,6,3]
[1,4,6,5,3,1]=>[4,4,3,1,6,2]
[1,5,1,3,4,6]=>[1,1,4,5,6,3]
[1,5,1,3,6,4]=>[2,2,5,6,1,4]
[1,5,1,4,3,6]=>[1,1,4,6,5,3]
[1,5,1,4,6,3]=>[2,2,5,1,4,6]
[1,5,1,6,3,4]=>[3,3,6,1,5,2]
[1,5,1,6,4,3]=>[3,3,6,2,5,1]
[1,5,3,1,4,6]=>[1,1,5,4,6,3]
[1,5,3,1,6,4]=>[2,2,6,5,1,4]
[1,5,3,4,1,6]=>[1,1,6,4,5,3]
[1,5,3,4,6,1]=>[2,2,1,4,6,5]
[1,5,3,6,1,4]=>[3,3,1,5,2,6]
[1,5,3,6,4,1]=>[3,3,2,5,1,6]
[1,5,4,1,3,6]=>[1,1,5,6,4,3]
[1,5,4,1,6,3]=>[2,2,6,1,4,5]
[1,5,4,3,1,6]=>[1,1,6,5,4,3]
[1,5,4,3,6,1]=>[2,2,1,4,5,6]
[1,5,4,6,1,3]=>[3,3,1,5,6,2]
[1,5,4,6,3,1]=>[3,3,2,5,6,1]
[1,5,6,1,3,4]=>[4,4,1,6,3,2]
[1,5,6,1,4,3]=>[4,4,1,6,2,3]
[1,5,6,3,1,4]=>[4,4,2,6,3,1]
[1,5,6,3,4,1]=>[4,4,3,6,2,1]
[1,5,6,4,1,3]=>[4,4,2,6,1,3]
[1,5,6,4,3,1]=>[4,4,3,6,1,2]
[1,6,1,3,4,5]=>[5,5,1,4,2,3]
[1,6,1,3,5,4]=>[5,5,1,3,2,4]
[1,6,1,4,3,5]=>[5,5,1,4,3,2]
[1,6,1,4,5,3]=>[5,5,1,3,4,2]
[1,6,1,5,3,4]=>[5,5,1,2,3,4]
[1,6,1,5,4,3]=>[5,5,1,2,4,3]
[1,6,3,1,4,5]=>[5,5,2,4,1,3]
[1,6,3,1,5,4]=>[5,5,2,3,1,4]
[1,6,3,4,1,5]=>[5,5,3,4,1,2]
[1,6,3,4,5,1]=>[5,5,4,3,2,1]
[1,6,3,5,1,4]=>[5,5,3,2,4,1]
[1,6,3,5,4,1]=>[5,5,4,2,3,1]
[1,6,4,1,3,5]=>[5,5,2,4,3,1]
[1,6,4,1,5,3]=>[5,5,2,3,4,1]
[1,6,4,3,1,5]=>[5,5,3,4,2,1]
[1,6,4,3,5,1]=>[5,5,4,3,1,2]
[1,6,4,5,1,3]=>[5,5,3,2,1,4]
[1,6,4,5,3,1]=>[5,5,4,2,1,3]
[1,6,5,1,3,4]=>[5,5,2,1,4,3]
[1,6,5,1,4,3]=>[5,5,2,1,3,4]
[1,6,5,3,1,4]=>[5,5,3,1,4,2]
[1,6,5,3,4,1]=>[5,5,4,1,3,2]
[1,6,5,4,1,3]=>[5,5,3,1,2,4]
[1,6,5,4,3,1]=>[5,5,4,1,2,3]
[3,1,1,4,5,6]=>[1,1,4,2,5,6]
[3,1,1,4,6,5]=>[2,2,5,3,6,1]
[3,1,1,5,4,6]=>[1,1,4,2,6,5]
[3,1,1,5,6,4]=>[2,2,5,3,1,6]
[3,1,1,6,4,5]=>[3,3,6,4,1,2]
[3,1,1,6,5,4]=>[3,3,6,4,2,1]
[3,1,4,1,5,6]=>[1,1,5,2,4,6]
[3,1,4,1,6,5]=>[2,2,6,3,5,1]
[3,1,4,5,1,6]=>[1,1,6,2,4,5]
[3,1,4,5,6,1]=>[2,2,1,6,5,3]
[3,1,4,6,1,5]=>[3,3,1,2,4,6]
[3,1,4,6,5,1]=>[3,3,2,1,6,4]
[3,1,5,1,4,6]=>[1,1,5,2,6,4]
[3,1,5,1,6,4]=>[2,2,6,3,1,5]
[3,1,5,4,1,6]=>[1,1,6,2,5,4]
[3,1,5,4,6,1]=>[2,2,1,5,6,3]
[3,1,5,6,1,4]=>[3,3,1,6,2,4]
[3,1,5,6,4,1]=>[3,3,2,6,1,4]
[3,1,6,1,4,5]=>[4,4,1,3,5,2]
[3,1,6,1,5,4]=>[4,4,1,2,5,3]
[3,1,6,4,1,5]=>[4,4,2,3,5,1]
[3,1,6,4,5,1]=>[4,4,3,2,1,5]
[3,1,6,5,1,4]=>[4,4,2,1,3,5]
[3,1,6,5,4,1]=>[4,4,3,1,2,5]
[3,4,1,1,5,6]=>[1,1,5,2,3,6]
[3,4,1,1,6,5]=>[2,2,6,3,4,1]
[3,4,1,5,1,6]=>[1,1,6,2,3,5]
[3,4,1,5,6,1]=>[2,2,1,6,4,3]
[3,4,1,6,1,5]=>[3,3,1,2,4,5]
[3,4,1,6,5,1]=>[3,3,2,1,5,4]
[3,4,5,1,1,6]=>[1,1,6,2,3,4]
[3,4,5,1,6,1]=>[2,2,1,5,4,3]
[3,4,5,6,1,1]=>[2,5,4,3,1,2]
[3,4,6,1,1,5]=>[3,2,3,1,4,5]
[3,4,6,1,5,1]=>[3,1,3,2,5,4]
[3,4,6,5,1,1]=>[2,6,4,3,1,2]
[3,5,1,1,4,6]=>[1,1,5,2,6,3]
[3,5,1,1,6,4]=>[2,2,6,3,1,4]
[3,5,1,4,1,6]=>[1,1,6,2,5,3]
[3,5,1,4,6,1]=>[2,2,1,4,6,3]
[3,5,1,6,1,4]=>[3,3,1,5,2,4]
[3,5,1,6,4,1]=>[3,3,2,5,1,4]
[3,5,4,1,1,6]=>[1,1,6,2,4,3]
[3,5,4,1,6,1]=>[2,2,1,4,5,3]
[3,5,4,6,1,1]=>[2,4,5,3,1,2]
[3,5,6,1,1,4]=>[3,5,2,3,1,4]
[3,5,6,1,4,1]=>[3,5,1,3,2,4]
[3,5,6,4,1,1]=>[2,4,6,3,1,2]
[3,6,1,1,4,5]=>[4,3,4,1,5,2]
[3,6,1,1,5,4]=>[4,2,4,1,5,3]
[3,6,1,4,1,5]=>[4,3,4,2,5,1]
[3,6,1,4,5,1]=>[4,2,4,3,1,5]
[3,6,1,5,1,4]=>[4,1,4,2,3,5]
[3,6,1,5,4,1]=>[4,1,4,3,2,5]
[3,6,4,1,1,5]=>[3,2,3,1,4,6]
[3,6,4,1,5,1]=>[3,1,3,2,6,4]
[3,6,4,5,1,1]=>[2,6,5,3,1,2]
[3,6,5,1,1,4]=>[3,6,2,3,1,4]
[3,6,5,1,4,1]=>[3,6,1,3,2,4]
[3,6,5,4,1,1]=>[2,5,6,3,1,2]
[4,1,1,3,5,6]=>[1,1,4,5,2,6]
[4,1,1,3,6,5]=>[2,2,5,6,3,1]
[4,1,1,5,3,6]=>[1,1,4,6,2,5]
[4,1,1,5,6,3]=>[2,2,5,1,6,3]
[4,1,1,6,3,5]=>[3,3,6,1,2,4]
[4,1,1,6,5,3]=>[3,3,6,2,1,4]
[4,1,3,1,5,6]=>[1,1,5,4,2,6]
[4,1,3,1,6,5]=>[2,2,6,5,3,1]
[4,1,3,5,1,6]=>[1,1,6,4,2,5]
[4,1,3,5,6,1]=>[2,2,1,6,3,5]
[4,1,3,6,1,5]=>[3,3,1,2,6,4]
[4,1,3,6,5,1]=>[3,3,2,1,4,6]
[4,1,5,1,3,6]=>[1,1,5,6,2,4]
[4,1,5,1,6,3]=>[2,2,6,1,5,3]
[4,1,5,3,1,6]=>[1,1,6,5,2,4]
[4,1,5,3,6,1]=>[2,2,1,5,3,6]
[4,1,5,6,1,3]=>[3,3,1,6,4,2]
[4,1,5,6,3,1]=>[3,3,2,6,4,1]
[4,1,6,1,3,5]=>[4,4,1,3,2,5]
[4,1,6,1,5,3]=>[4,4,1,2,3,5]
[4,1,6,3,1,5]=>[4,4,2,3,1,5]
[4,1,6,3,5,1]=>[4,4,3,2,5,1]
[4,1,6,5,1,3]=>[4,4,2,1,5,3]
[4,1,6,5,3,1]=>[4,4,3,1,5,2]
[4,3,1,1,5,6]=>[1,1,5,3,2,6]
[4,3,1,1,6,5]=>[2,2,6,4,3,1]
[4,3,1,5,1,6]=>[1,1,6,3,2,5]
[4,3,1,5,6,1]=>[2,2,1,6,3,4]
[4,3,1,6,1,5]=>[3,3,1,2,5,4]
[4,3,1,6,5,1]=>[3,3,2,1,4,5]
[4,3,5,1,1,6]=>[1,1,6,3,2,4]
[4,3,5,1,6,1]=>[2,2,1,5,3,4]
[4,3,5,6,1,1]=>[2,5,3,4,1,2]
[4,3,6,1,1,5]=>[3,2,3,1,5,4]
[4,3,6,1,5,1]=>[3,1,3,2,4,5]
[4,3,6,5,1,1]=>[2,6,3,4,1,2]
[4,5,1,1,3,6]=>[1,1,5,6,2,3]
[4,5,1,1,6,3]=>[2,2,6,1,4,3]
[4,5,1,3,1,6]=>[1,1,6,5,2,3]
[4,5,1,3,6,1]=>[2,2,1,4,3,6]
[4,5,1,6,1,3]=>[3,3,1,5,4,2]
[4,5,1,6,3,1]=>[3,3,2,5,4,1]
[4,5,3,1,1,6]=>[1,1,6,4,2,3]
[4,5,3,1,6,1]=>[2,2,1,4,3,5]
[4,5,3,6,1,1]=>[2,4,3,5,1,2]
[4,5,6,1,1,3]=>[3,5,4,2,3,1]
[4,5,6,1,3,1]=>[3,5,4,1,3,2]
[4,5,6,3,1,1]=>[2,4,3,6,1,2]
[4,6,1,1,3,5]=>[4,3,4,1,2,5]
[4,6,1,1,5,3]=>[4,2,4,1,3,5]
[4,6,1,3,1,5]=>[4,3,4,2,1,5]
[4,6,1,3,5,1]=>[4,2,4,3,5,1]
[4,6,1,5,1,3]=>[4,1,4,2,5,3]
[4,6,1,5,3,1]=>[4,1,4,3,5,2]
[4,6,3,1,1,5]=>[3,2,3,1,6,4]
[4,6,3,1,5,1]=>[3,1,3,2,4,6]
[4,6,3,5,1,1]=>[2,6,3,5,1,2]
[4,6,5,1,1,3]=>[3,6,4,2,3,1]
[4,6,5,1,3,1]=>[3,6,4,1,3,2]
[4,6,5,3,1,1]=>[2,5,3,6,1,2]
[5,1,1,3,4,6]=>[1,1,4,5,6,2]
[5,1,1,3,6,4]=>[2,2,5,6,1,3]
[5,1,1,4,3,6]=>[1,1,4,6,5,2]
[5,1,1,4,6,3]=>[2,2,5,1,3,6]
[5,1,1,6,3,4]=>[3,3,6,1,4,2]
[5,1,1,6,4,3]=>[3,3,6,2,4,1]
[5,1,3,1,4,6]=>[1,1,5,4,6,2]
[5,1,3,1,6,4]=>[2,2,6,5,1,3]
[5,1,3,4,1,6]=>[1,1,6,4,5,2]
[5,1,3,4,6,1]=>[2,2,1,3,6,5]
[5,1,3,6,1,4]=>[3,3,1,4,2,6]
[5,1,3,6,4,1]=>[3,3,2,4,1,6]
[5,1,4,1,3,6]=>[1,1,5,6,4,2]
[5,1,4,1,6,3]=>[2,2,6,1,3,5]
[5,1,4,3,1,6]=>[1,1,6,5,4,2]
[5,1,4,3,6,1]=>[2,2,1,3,5,6]
[5,1,4,6,1,3]=>[3,3,1,4,6,2]
[5,1,4,6,3,1]=>[3,3,2,4,6,1]
[5,1,6,1,3,4]=>[4,4,1,5,3,2]
[5,1,6,1,4,3]=>[4,4,1,5,2,3]
[5,1,6,3,1,4]=>[4,4,2,5,3,1]
[5,1,6,3,4,1]=>[4,4,3,5,2,1]
[5,1,6,4,1,3]=>[4,4,2,5,1,3]
[5,1,6,4,3,1]=>[4,4,3,5,1,2]
[5,3,1,1,4,6]=>[1,1,5,3,6,2]
[5,3,1,1,6,4]=>[2,2,6,4,1,3]
[5,3,1,4,1,6]=>[1,1,6,3,5,2]
[5,3,1,4,6,1]=>[2,2,1,3,6,4]
[5,3,1,6,1,4]=>[3,3,1,4,2,5]
[5,3,1,6,4,1]=>[3,3,2,4,1,5]
[5,3,4,1,1,6]=>[1,1,6,3,4,2]
[5,3,4,1,6,1]=>[2,2,1,3,5,4]
[5,3,4,6,1,1]=>[2,3,5,4,1,2]
[5,3,6,1,1,4]=>[3,4,2,3,1,5]
[5,3,6,1,4,1]=>[3,4,1,3,2,5]
[5,3,6,4,1,1]=>[2,3,6,4,1,2]
[5,4,1,1,3,6]=>[1,1,5,6,3,2]
[5,4,1,1,6,3]=>[2,2,6,1,3,4]
[5,4,1,3,1,6]=>[1,1,6,5,3,2]
[5,4,1,3,6,1]=>[2,2,1,3,4,6]
[5,4,1,6,1,3]=>[3,3,1,4,5,2]
[5,4,1,6,3,1]=>[3,3,2,4,5,1]
[5,4,3,1,1,6]=>[1,1,6,4,3,2]
[5,4,3,1,6,1]=>[2,2,1,3,4,5]
[5,4,3,6,1,1]=>[2,3,4,5,1,2]
[5,4,6,1,1,3]=>[3,4,5,2,3,1]
[5,4,6,1,3,1]=>[3,4,5,1,3,2]
[5,4,6,3,1,1]=>[2,3,4,6,1,2]
[5,6,1,1,3,4]=>[4,5,3,4,1,2]
[5,6,1,1,4,3]=>[4,5,2,4,1,3]
[5,6,1,3,1,4]=>[4,5,3,4,2,1]
[5,6,1,3,4,1]=>[4,5,2,4,3,1]
[5,6,1,4,1,3]=>[4,5,1,4,2,3]
[5,6,1,4,3,1]=>[4,5,1,4,3,2]
[5,6,3,1,1,4]=>[3,4,2,3,1,6]
[5,6,3,1,4,1]=>[3,4,1,3,2,6]
[5,6,3,4,1,1]=>[2,3,6,5,1,2]
[5,6,4,1,1,3]=>[3,4,6,2,3,1]
[5,6,4,1,3,1]=>[3,4,6,1,3,2]
[5,6,4,3,1,1]=>[2,3,5,6,1,2]
[6,1,1,3,4,5]=>[5,4,5,1,2,3]
[6,1,1,3,5,4]=>[5,3,5,1,2,4]
[6,1,1,4,3,5]=>[5,4,5,1,3,2]
[6,1,1,4,5,3]=>[5,3,5,1,4,2]
[6,1,1,5,3,4]=>[5,2,5,1,3,4]
[6,1,1,5,4,3]=>[5,2,5,1,4,3]
[6,1,3,1,4,5]=>[5,4,5,2,1,3]
[6,1,3,1,5,4]=>[5,3,5,2,1,4]
[6,1,3,4,1,5]=>[5,4,5,3,1,2]
[6,1,3,4,5,1]=>[5,3,5,4,2,1]
[6,1,3,5,1,4]=>[5,2,5,3,4,1]
[6,1,3,5,4,1]=>[5,2,5,4,3,1]
[6,1,4,1,3,5]=>[5,4,5,2,3,1]
[6,1,4,1,5,3]=>[5,3,5,2,4,1]
[6,1,4,3,1,5]=>[5,4,5,3,2,1]
[6,1,4,3,5,1]=>[5,3,5,4,1,2]
[6,1,4,5,1,3]=>[5,2,5,3,1,4]
[6,1,4,5,3,1]=>[5,2,5,4,1,3]
[6,1,5,1,3,4]=>[5,1,5,2,4,3]
[6,1,5,1,4,3]=>[5,1,5,2,3,4]
[6,1,5,3,1,4]=>[5,1,5,3,4,2]
[6,1,5,3,4,1]=>[5,1,5,4,3,2]
[6,1,5,4,1,3]=>[5,1,5,3,2,4]
[6,1,5,4,3,1]=>[5,1,5,4,2,3]
[6,3,1,1,4,5]=>[4,3,4,1,6,2]
[6,3,1,1,5,4]=>[4,2,4,1,6,3]
[6,3,1,4,1,5]=>[4,3,4,2,6,1]
[6,3,1,4,5,1]=>[4,2,4,3,1,6]
[6,3,1,5,1,4]=>[4,1,4,2,3,6]
[6,3,1,5,4,1]=>[4,1,4,3,2,6]
[6,3,4,1,1,5]=>[3,2,3,1,5,6]
[6,3,4,1,5,1]=>[3,1,3,2,6,5]
[6,3,4,5,1,1]=>[2,6,5,4,1,2]
[6,3,5,1,1,4]=>[3,6,2,3,1,5]
[6,3,5,1,4,1]=>[3,6,1,3,2,5]
[6,3,5,4,1,1]=>[2,5,6,4,1,2]
[6,4,1,1,3,5]=>[4,3,4,1,2,6]
[6,4,1,1,5,3]=>[4,2,4,1,3,6]
[6,4,1,3,1,5]=>[4,3,4,2,1,6]
[6,4,1,3,5,1]=>[4,2,4,3,6,1]
[6,4,1,5,1,3]=>[4,1,4,2,6,3]
[6,4,1,5,3,1]=>[4,1,4,3,6,2]
[6,4,3,1,1,5]=>[3,2,3,1,6,5]
[6,4,3,1,5,1]=>[3,1,3,2,5,6]
[6,4,3,5,1,1]=>[2,6,4,5,1,2]
[6,4,5,1,1,3]=>[3,6,5,2,3,1]
[6,4,5,1,3,1]=>[3,6,5,1,3,2]
[6,4,5,3,1,1]=>[2,5,4,6,1,2]
[6,5,1,1,3,4]=>[4,6,3,4,1,2]
[6,5,1,1,4,3]=>[4,6,2,4,1,3]
[6,5,1,3,1,4]=>[4,6,3,4,2,1]
[6,5,1,3,4,1]=>[4,6,2,4,3,1]
[6,5,1,4,1,3]=>[4,6,1,4,2,3]
[6,5,1,4,3,1]=>[4,6,1,4,3,2]
[6,5,3,1,1,4]=>[3,5,2,3,1,6]
[6,5,3,1,4,1]=>[3,5,1,3,2,6]
[6,5,3,4,1,1]=>[2,4,6,5,1,2]
[6,5,4,1,1,3]=>[3,5,6,2,3,1]
[6,5,4,1,3,1]=>[3,5,6,1,3,2]
[6,5,4,3,1,1]=>[2,4,5,6,1,2]
[1,2,2,2,2,2]=>[1,2,2,2,2,2]
[2,1,2,2,2,2]=>[6,1,1,1,1,1]
[2,2,1,2,2,2]=>[5,1,1,1,1,1]
[2,2,2,1,2,2]=>[4,1,1,1,1,1]
[2,2,2,2,1,2]=>[3,1,1,1,1,1]
[2,2,2,2,2,1]=>[2,1,1,1,1,1]
[1,2,2,2,2,3]=>[1,2,2,2,2,3]
[1,2,2,2,3,2]=>[1,2,2,2,3,2]
[1,2,2,3,2,2]=>[1,2,2,3,2,2]
[1,2,3,2,2,2]=>[1,2,3,2,2,2]
[1,3,2,2,2,2]=>[1,2,4,2,2,2]
[2,1,2,2,2,3]=>[1,3,3,3,3,2]
[2,1,2,2,3,2]=>[1,3,3,3,2,3]
[2,1,2,3,2,2]=>[1,3,3,2,3,3]
[2,1,3,2,2,2]=>[1,3,2,3,3,3]
[2,2,1,2,2,3]=>[5,1,1,1,1,6]
[2,2,1,2,3,2]=>[5,1,1,1,6,1]
[2,2,1,3,2,2]=>[5,1,1,6,1,1]
[2,2,2,1,2,3]=>[4,1,1,1,1,5]
[2,2,2,1,3,2]=>[4,1,1,1,5,1]
[2,2,2,2,1,3]=>[3,1,1,1,1,4]
[2,2,2,2,3,1]=>[2,1,1,1,1,3]
[2,2,2,3,1,2]=>[3,1,1,1,4,1]
[2,2,2,3,2,1]=>[2,1,1,1,3,1]
[2,2,3,1,2,2]=>[4,1,1,5,1,1]
[2,2,3,2,1,2]=>[3,1,1,4,1,1]
[2,2,3,2,2,1]=>[2,1,1,3,1,1]
[2,3,1,2,2,2]=>[5,1,6,1,1,1]
[2,3,2,1,2,2]=>[4,1,5,1,1,1]
[2,3,2,2,1,2]=>[3,1,4,1,1,1]
[2,3,2,2,2,1]=>[2,1,3,1,1,1]
[3,1,2,2,2,2]=>[6,1,2,1,1,1]
[3,2,1,2,2,2]=>[6,2,1,2,2,2]
[3,2,2,1,2,2]=>[4,1,6,1,1,1]
[3,2,2,2,1,2]=>[3,1,5,1,1,1]
[3,2,2,2,2,1]=>[2,1,4,1,1,1]
[1,2,2,2,2,4]=>[1,2,2,2,2,4]
[1,2,2,2,4,2]=>[1,2,2,2,4,2]
[1,2,2,4,2,2]=>[1,2,2,4,2,2]
[1,2,4,2,2,2]=>[1,2,2,5,2,2]
[1,4,2,2,2,2]=>[1,2,5,2,2,2]
[2,1,2,2,2,4]=>[6,1,1,1,1,2]
[2,1,2,2,4,2]=>[6,1,1,1,2,1]
[2,1,2,4,2,2]=>[6,1,1,2,1,1]
[2,1,4,2,2,2]=>[6,1,1,3,1,1]
[2,2,1,2,2,4]=>[6,2,2,2,2,1]
[2,2,1,2,4,2]=>[6,2,2,2,1,2]
[2,2,1,4,2,2]=>[6,2,2,1,2,2]
[2,2,2,1,2,4]=>[4,1,1,1,1,6]
[2,2,2,1,4,2]=>[4,1,1,1,6,1]
[2,2,2,2,1,4]=>[3,1,1,1,1,5]
[2,2,2,2,4,1]=>[2,1,1,1,1,4]
[2,2,2,4,1,2]=>[3,1,1,1,5,1]
[2,2,2,4,2,1]=>[2,1,1,1,4,1]
[2,2,4,1,2,2]=>[4,1,1,6,1,1]
[2,2,4,2,1,2]=>[3,1,1,5,1,1]
[2,2,4,2,2,1]=>[2,1,1,4,1,1]
[2,4,1,2,2,2]=>[5,1,1,2,1,1]
[2,4,2,1,2,2]=>[5,2,2,1,2,2]
[2,4,2,2,1,2]=>[3,1,1,6,1,1]
[2,4,2,2,2,1]=>[2,1,1,5,1,1]
[4,1,2,2,2,2]=>[6,1,3,1,1,1]
[4,2,1,2,2,2]=>[5,1,2,1,1,1]
[4,2,2,1,2,2]=>[5,2,1,2,2,2]
[4,2,2,2,1,2]=>[3,1,6,1,1,1]
[4,2,2,2,2,1]=>[2,1,5,1,1,1]
[1,2,2,2,2,5]=>[1,2,2,2,2,5]
[1,2,2,2,5,2]=>[1,2,2,2,5,2]
[1,2,2,5,2,2]=>[1,2,2,2,6,2]
[1,2,5,2,2,2]=>[1,2,2,6,2,2]
[1,5,2,2,2,2]=>[1,2,6,2,2,2]
[2,1,2,2,2,5]=>[6,1,1,1,1,3]
[2,1,2,2,5,2]=>[6,1,1,1,3,1]
[2,1,2,5,2,2]=>[6,1,1,1,4,1]
[2,1,5,2,2,2]=>[6,1,1,4,1,1]
[2,2,1,2,2,5]=>[5,1,1,1,1,2]
[2,2,1,2,5,2]=>[5,1,1,1,2,1]
[2,2,1,5,2,2]=>[5,1,1,1,3,1]
[2,2,2,1,2,5]=>[5,2,2,2,2,1]
[2,2,2,1,5,2]=>[5,2,2,2,1,2]
[2,2,2,2,1,5]=>[3,1,1,1,1,6]
[2,2,2,2,5,1]=>[2,1,1,1,1,5]
[2,2,2,5,1,2]=>[3,1,1,1,6,1]
[2,2,2,5,2,1]=>[2,1,1,1,5,1]
[2,2,5,1,2,2]=>[4,1,1,1,2,1]
[2,2,5,2,1,2]=>[4,2,2,2,1,2]
[2,2,5,2,2,1]=>[2,1,1,1,6,1]
[2,5,1,2,2,2]=>[5,1,1,3,1,1]
[2,5,2,1,2,2]=>[4,1,1,2,1,1]
[2,5,2,2,1,2]=>[4,2,2,1,2,2]
[2,5,2,2,2,1]=>[2,1,1,6,1,1]
[5,1,2,2,2,2]=>[6,1,4,1,1,1]
[5,2,1,2,2,2]=>[5,1,3,1,1,1]
[5,2,2,1,2,2]=>[4,1,2,1,1,1]
[5,2,2,2,1,2]=>[4,2,1,2,2,2]
[5,2,2,2,2,1]=>[2,1,6,1,1,1]
[1,2,2,2,2,6]=>[1,2,2,2,2,6]
[1,2,2,2,6,2]=>[2,3,3,3,3,1]
[1,2,2,6,2,2]=>[2,3,3,3,1,3]
[1,2,6,2,2,2]=>[2,3,3,1,3,3]
[1,6,2,2,2,2]=>[2,3,1,3,3,3]
[2,1,2,2,2,6]=>[6,1,1,1,1,4]
[2,1,2,2,6,2]=>[6,1,1,1,1,5]
[2,1,2,6,2,2]=>[6,1,1,1,5,1]
[2,1,6,2,2,2]=>[6,1,1,5,1,1]
[2,2,1,2,2,6]=>[5,1,1,1,1,3]
[2,2,1,2,6,2]=>[5,1,1,1,1,4]
[2,2,1,6,2,2]=>[5,1,1,1,4,1]
[2,2,2,1,2,6]=>[4,1,1,1,1,2]
[2,2,2,1,6,2]=>[4,1,1,1,1,3]
[2,2,2,2,1,6]=>[4,2,2,2,2,1]
[2,2,2,2,6,1]=>[2,1,1,1,1,6]
[2,2,2,6,1,2]=>[3,1,1,1,1,2]
[2,2,2,6,2,1]=>[3,2,2,2,2,1]
[2,2,6,1,2,2]=>[4,1,1,1,3,1]
[2,2,6,2,1,2]=>[3,1,1,1,2,1]
[2,2,6,2,2,1]=>[3,2,2,2,1,2]
[2,6,1,2,2,2]=>[5,1,1,4,1,1]
[2,6,2,1,2,2]=>[4,1,1,3,1,1]
[2,6,2,2,1,2]=>[3,1,1,2,1,1]
[2,6,2,2,2,1]=>[3,2,2,1,2,2]
[6,1,2,2,2,2]=>[6,1,5,1,1,1]
[6,2,1,2,2,2]=>[5,1,4,1,1,1]
[6,2,2,1,2,2]=>[4,1,3,1,1,1]
[6,2,2,2,1,2]=>[3,1,2,1,1,1]
[6,2,2,2,2,1]=>[3,2,1,2,2,2]
[1,2,2,2,3,3]=>[1,2,2,2,3,3]
[1,2,2,3,2,3]=>[1,2,2,3,2,3]
[1,2,2,3,3,2]=>[1,2,2,3,3,2]
[1,2,3,2,2,3]=>[1,2,3,2,2,3]
[1,2,3,2,3,2]=>[1,2,3,2,3,2]
[1,2,3,3,2,2]=>[1,2,3,3,2,2]
[1,3,2,2,2,3]=>[1,2,4,2,2,4]
[1,3,2,2,3,2]=>[1,2,4,2,4,2]
[1,3,2,3,2,2]=>[1,2,4,4,2,2]
[1,3,3,2,2,2]=>[1,2,5,5,2,2]
[2,1,2,2,3,3]=>[1,3,3,3,2,2]
[2,1,2,3,2,3]=>[1,3,3,2,3,2]
[2,1,2,3,3,2]=>[1,3,3,2,2,3]
[2,1,3,2,2,3]=>[1,3,2,3,3,2]
[2,1,3,2,3,2]=>[1,3,2,3,2,3]
[2,1,3,3,2,2]=>[1,3,2,2,3,3]
[2,2,1,2,3,3]=>[1,4,4,4,2,2]
[2,2,1,3,2,3]=>[1,4,4,2,4,2]
[2,2,1,3,3,2]=>[1,4,4,2,2,4]
[2,2,2,1,3,3]=>[4,1,1,1,5,5]
[2,2,2,3,1,3]=>[3,1,1,1,4,4]
[2,2,2,3,3,1]=>[2,1,1,1,3,3]
[2,2,3,1,2,3]=>[4,1,1,5,1,5]
[2,2,3,1,3,2]=>[4,1,1,5,5,1]
[2,2,3,2,1,3]=>[3,1,1,4,1,4]
[2,2,3,2,3,1]=>[2,1,1,3,1,3]
[2,2,3,3,1,2]=>[3,1,1,4,4,1]
[2,2,3,3,2,1]=>[2,1,1,3,3,1]
[2,3,1,2,2,3]=>[1,4,2,4,4,2]
[2,3,1,2,3,2]=>[1,4,2,4,2,4]
[2,3,1,3,2,2]=>[1,4,2,2,4,4]
[2,3,2,1,2,3]=>[4,1,5,1,1,5]
[2,3,2,1,3,2]=>[4,1,5,1,5,1]
[2,3,2,2,1,3]=>[3,1,4,1,1,4]
[2,3,2,2,3,1]=>[2,1,3,1,1,3]
[2,3,2,3,1,2]=>[3,1,4,1,4,1]
[2,3,2,3,2,1]=>[2,1,3,1,3,1]
[2,3,3,1,2,2]=>[4,1,5,5,1,1]
[2,3,3,2,1,2]=>[3,1,4,4,1,1]
[2,3,3,2,2,1]=>[2,1,3,3,1,1]
[3,1,2,2,2,3]=>[6,1,2,1,1,2]
[3,1,2,2,3,2]=>[6,1,2,1,2,1]
[3,1,2,3,2,2]=>[6,1,2,2,1,1]
[3,1,3,2,2,2]=>[6,1,3,3,1,1]
[3,2,1,2,2,3]=>[6,2,1,2,2,1]
[3,2,1,2,3,2]=>[6,2,1,2,1,2]
[3,2,1,3,2,2]=>[6,2,1,1,2,2]
[3,2,2,1,2,3]=>[6,3,1,3,3,1]
[3,2,2,1,3,2]=>[6,3,1,3,1,3]
[3,2,2,2,1,3]=>[3,1,5,1,1,5]
[3,2,2,2,3,1]=>[2,1,4,1,1,4]
[3,2,2,3,1,2]=>[3,1,5,1,5,1]
[3,2,2,3,2,1]=>[2,1,4,1,4,1]
[3,2,3,1,2,2]=>[6,3,1,1,3,3]
[3,2,3,2,1,2]=>[3,1,5,5,1,1]
[3,2,3,2,2,1]=>[2,1,4,4,1,1]
[3,3,1,2,2,2]=>[5,1,2,2,1,1]
[3,3,2,1,2,2]=>[5,2,1,1,2,2]
[3,3,2,2,1,2]=>[5,3,1,1,3,3]
[3,3,2,2,2,1]=>[2,1,5,5,1,1]
[1,2,2,2,3,4]=>[1,2,2,3,2,4]
[1,2,2,2,4,3]=>[1,2,2,4,2,3]
[1,2,2,3,2,4]=>[1,2,3,2,2,4]
[1,2,2,3,4,2]=>[1,2,3,2,4,2]
[1,2,2,4,2,3]=>[1,2,4,2,2,3]
[1,2,2,4,3,2]=>[1,2,4,2,3,2]
[1,2,3,2,2,4]=>[1,2,3,2,2,5]
[1,2,3,2,4,2]=>[1,2,3,2,5,2]
[1,2,3,4,2,2]=>[1,2,3,2,6,2]
[1,2,4,2,2,3]=>[1,2,5,2,2,3]
[1,2,4,2,3,2]=>[1,2,5,2,3,2]
[1,2,4,3,2,2]=>[1,2,6,3,2,2]
[1,3,2,2,2,4]=>[1,2,4,2,2,5]
[1,3,2,2,4,2]=>[1,2,4,2,5,2]
[1,3,2,4,2,2]=>[1,2,4,2,6,2]
[1,3,4,2,2,2]=>[1,2,5,6,2,2]
[1,4,2,2,2,3]=>[1,2,5,2,2,4]
[1,4,2,2,3,2]=>[1,2,5,2,4,2]
[1,4,2,3,2,2]=>[1,2,6,4,2,2]
[1,4,3,2,2,2]=>[1,2,6,5,2,2]
[2,1,2,2,3,4]=>[1,3,3,2,3,4]
[2,1,2,2,4,3]=>[1,3,3,4,3,2]
[2,1,2,3,2,4]=>[1,3,2,3,3,4]
[2,1,2,3,4,2]=>[1,3,2,3,4,3]
[2,1,2,4,2,3]=>[1,3,4,3,3,2]
[2,1,2,4,3,2]=>[1,3,4,3,2,3]
[2,1,3,2,2,4]=>[1,3,2,3,3,5]
[2,1,3,2,4,2]=>[1,3,2,3,5,3]
[2,1,3,4,2,2]=>[1,3,2,3,6,3]
[2,1,4,2,2,3]=>[1,3,5,3,3,2]
[2,1,4,2,3,2]=>[1,3,5,3,2,3]
[2,1,4,3,2,2]=>[1,3,6,2,3,3]
[2,2,1,2,3,4]=>[1,4,4,2,4,3]
[2,2,1,2,4,3]=>[1,4,4,3,4,2]
[2,2,1,3,2,4]=>[1,4,2,4,4,3]
[2,2,1,3,4,2]=>[1,4,2,4,3,4]
[2,2,1,4,2,3]=>[1,4,3,4,4,2]
[2,2,1,4,3,2]=>[1,4,3,4,2,4]
[2,2,2,1,3,4]=>[4,1,1,5,1,6]
[2,2,2,1,4,3]=>[4,1,1,6,1,5]
[2,2,2,3,1,4]=>[3,1,1,4,1,5]
[2,2,2,3,4,1]=>[2,1,1,3,1,4]
[2,2,2,4,1,3]=>[3,1,1,5,1,4]
[2,2,2,4,3,1]=>[2,1,1,4,1,3]
[2,2,3,1,2,4]=>[4,1,5,1,1,6]
[2,2,3,1,4,2]=>[4,1,5,1,6,1]
[2,2,3,2,1,4]=>[3,1,4,1,1,5]
[2,2,3,2,4,1]=>[2,1,3,1,1,4]
[2,2,3,4,1,2]=>[3,1,4,1,5,1]
[2,2,3,4,2,1]=>[2,1,3,1,4,1]
[2,2,4,1,2,3]=>[4,1,6,1,1,5]
[2,2,4,1,3,2]=>[4,1,6,1,5,1]
[2,2,4,2,1,3]=>[3,1,5,1,1,4]
[2,2,4,2,3,1]=>[2,1,4,1,1,3]
[2,2,4,3,1,2]=>[3,1,5,1,4,1]
[2,2,4,3,2,1]=>[2,1,4,1,3,1]
[2,3,1,2,2,4]=>[5,1,6,1,1,2]
[2,3,1,2,4,2]=>[5,1,6,1,2,1]
[2,3,1,4,2,2]=>[5,1,6,1,3,1]
[2,3,2,1,2,4]=>[5,2,6,2,2,1]
[2,3,2,1,4,2]=>[5,2,6,2,1,2]
[2,3,2,2,1,4]=>[3,1,4,1,1,6]
[2,3,2,2,4,1]=>[2,1,3,1,1,5]
[2,3,2,4,1,2]=>[3,1,4,1,6,1]
[2,3,2,4,2,1]=>[2,1,3,1,5,1]
[2,3,4,1,2,2]=>[4,1,5,1,2,1]
[2,3,4,2,1,2]=>[4,2,5,2,1,2]
[2,3,4,2,2,1]=>[2,1,3,1,6,1]
[2,4,1,2,2,3]=>[5,1,2,1,1,6]
[2,4,1,2,3,2]=>[5,1,2,1,6,1]
[2,4,1,3,2,2]=>[5,1,3,6,1,1]
[2,4,2,1,2,3]=>[5,2,1,2,2,6]
[2,4,2,1,3,2]=>[5,2,1,2,6,2]
[2,4,2,2,1,3]=>[3,1,6,1,1,4]
[2,4,2,2,3,1]=>[2,1,5,1,1,3]
[2,4,2,3,1,2]=>[3,1,6,1,4,1]
[2,4,2,3,2,1]=>[2,1,5,1,3,1]
[2,4,3,1,2,2]=>[4,1,2,5,1,1]
[2,4,3,2,1,2]=>[4,2,1,5,2,2]
[2,4,3,2,2,1]=>[2,1,6,3,1,1]
[3,1,2,2,2,4]=>[6,1,2,1,1,3]
[3,1,2,2,4,2]=>[6,1,2,1,3,1]
[3,1,2,4,2,2]=>[6,1,2,1,4,1]
[3,1,4,2,2,2]=>[6,1,3,4,1,1]
[3,2,1,2,2,4]=>[6,2,1,2,2,3]
[3,2,1,2,4,2]=>[6,2,1,2,3,2]
[3,2,1,4,2,2]=>[6,2,1,2,4,2]
[3,2,2,1,2,4]=>[6,3,1,3,3,2]
[3,2,2,1,4,2]=>[6,3,1,3,2,3]
[3,2,2,2,1,4]=>[3,1,5,1,1,6]
[3,2,2,2,4,1]=>[2,1,4,1,1,5]
[3,2,2,4,1,2]=>[3,1,5,1,6,1]
[3,2,2,4,2,1]=>[2,1,4,1,5,1]
[3,2,4,1,2,2]=>[4,1,6,1,2,1]
[3,2,4,2,1,2]=>[4,2,6,2,1,2]
[3,2,4,2,2,1]=>[2,1,4,1,6,1]
[3,4,1,2,2,2]=>[5,1,2,3,1,1]
[3,4,2,1,2,2]=>[5,2,1,3,2,2]
[3,4,2,2,1,2]=>[5,3,1,2,3,3]
[3,4,2,2,2,1]=>[2,1,5,6,1,1]
[4,1,2,2,2,3]=>[6,1,3,1,1,2]
[4,1,2,2,3,2]=>[6,1,3,1,2,1]
[4,1,2,3,2,2]=>[6,1,4,2,1,1]
[4,1,3,2,2,2]=>[6,1,4,3,1,1]
[4,2,1,2,2,3]=>[6,2,3,2,2,1]
[4,2,1,2,3,2]=>[6,2,3,2,1,2]
[4,2,1,3,2,2]=>[6,2,4,1,2,2]
[4,2,2,1,2,3]=>[6,3,2,3,3,1]
[4,2,2,1,3,2]=>[6,3,2,3,1,3]
[4,2,2,2,1,3]=>[3,1,6,1,1,5]
[4,2,2,2,3,1]=>[2,1,5,1,1,4]
[4,2,2,3,1,2]=>[3,1,6,1,5,1]
[4,2,2,3,2,1]=>[2,1,5,1,4,1]
[4,2,3,1,2,2]=>[4,1,2,6,1,1]
[4,2,3,2,1,2]=>[4,2,1,6,2,2]
[4,2,3,2,2,1]=>[2,1,6,4,1,1]
[4,3,1,2,2,2]=>[5,1,3,2,1,1]
[4,3,2,1,2,2]=>[5,2,3,1,2,2]
[4,3,2,2,1,2]=>[5,3,2,1,3,3]
[4,3,2,2,2,1]=>[2,1,6,5,1,1]
[1,2,2,2,3,5]=>[1,2,2,3,2,5]
[1,2,2,2,5,3]=>[1,2,2,5,2,3]
[1,2,2,3,2,5]=>[1,2,2,3,2,6]
[1,2,2,3,5,2]=>[2,3,3,4,3,1]
[1,2,2,5,2,3]=>[1,2,2,6,2,3]
[1,2,2,5,3,2]=>[2,3,3,1,4,3]
[1,2,3,2,2,5]=>[1,2,3,2,2,6]
[1,2,3,2,5,2]=>[2,3,4,3,3,1]
[1,2,3,5,2,2]=>[2,3,4,3,1,3]
[1,2,5,2,2,3]=>[1,2,6,2,2,3]
[1,2,5,2,3,2]=>[2,3,1,3,4,3]
[1,2,5,3,2,2]=>[2,3,1,4,3,3]
[1,3,2,2,2,5]=>[1,2,4,2,2,6]
[1,3,2,2,5,2]=>[2,3,5,3,3,1]
[1,3,2,5,2,2]=>[2,3,5,3,1,3]
[1,3,5,2,2,2]=>[2,3,6,1,3,3]
[1,5,2,2,2,3]=>[1,2,6,2,2,4]
[1,5,2,2,3,2]=>[2,3,1,3,5,3]
[1,5,2,3,2,2]=>[2,3,1,5,3,3]
[1,5,3,2,2,2]=>[2,3,1,6,3,3]
[2,1,2,2,3,5]=>[1,3,3,2,3,5]
[2,1,2,2,5,3]=>[1,3,3,5,3,2]
[2,1,2,3,2,5]=>[1,3,3,2,3,6]
[2,1,2,3,5,2]=>[2,4,4,3,4,1]
[2,1,2,5,2,3]=>[1,3,3,6,3,2]
[2,1,2,5,3,2]=>[2,4,4,1,3,4]
[2,1,3,2,2,5]=>[1,3,2,3,3,6]
[2,1,3,2,5,2]=>[2,4,3,4,4,1]
[2,1,3,5,2,2]=>[2,4,3,4,1,4]
[2,1,5,2,2,3]=>[1,3,6,3,3,2]
[2,1,5,2,3,2]=>[2,4,1,4,3,4]
[2,1,5,3,2,2]=>[2,4,1,3,4,4]
[2,2,1,2,3,5]=>[5,1,1,6,1,2]
[2,2,1,2,5,3]=>[5,1,1,2,1,6]
[2,2,1,3,2,5]=>[5,1,1,6,1,3]
[2,2,1,3,5,2]=>[5,1,1,6,1,4]
[2,2,1,5,2,3]=>[5,1,1,3,1,6]
[2,2,1,5,3,2]=>[5,1,1,4,6,1]
[2,2,2,1,3,5]=>[5,2,2,6,2,1]
[2,2,2,1,5,3]=>[5,2,2,1,2,6]
[2,2,2,3,1,5]=>[3,1,1,4,1,6]
[2,2,2,3,5,1]=>[2,1,1,3,1,5]
[2,2,2,5,1,3]=>[3,1,1,6,1,4]
[2,2,2,5,3,1]=>[2,1,1,5,1,3]
[2,2,3,1,2,5]=>[4,1,1,5,1,2]
[2,2,3,1,5,2]=>[4,1,1,5,1,3]
[2,2,3,2,1,5]=>[4,2,2,5,2,1]
[2,2,3,2,5,1]=>[2,1,1,3,1,6]
[2,2,3,5,1,2]=>[3,1,1,4,1,2]
[2,2,3,5,2,1]=>[3,2,2,4,2,1]
[2,2,5,1,2,3]=>[4,1,1,2,1,5]
[2,2,5,1,3,2]=>[4,1,1,3,5,1]
[2,2,5,2,1,3]=>[4,2,2,1,2,5]
[2,2,5,2,3,1]=>[2,1,1,6,1,3]
[2,2,5,3,1,2]=>[3,1,1,2,4,1]
[2,2,5,3,2,1]=>[3,2,2,1,4,2]
[2,3,1,2,2,5]=>[5,1,6,1,1,3]
[2,3,1,2,5,2]=>[5,1,6,1,1,4]
[2,3,1,5,2,2]=>[5,1,6,1,4,1]
[2,3,2,1,2,5]=>[4,1,5,1,1,2]
[2,3,2,1,5,2]=>[4,1,5,1,1,3]
[2,3,2,2,1,5]=>[4,2,5,2,2,1]
[2,3,2,2,5,1]=>[2,1,3,1,1,6]
[2,3,2,5,1,2]=>[3,1,4,1,1,2]
[2,3,2,5,2,1]=>[3,2,4,2,2,1]
[2,3,5,1,2,2]=>[4,1,5,1,3,1]
[2,3,5,2,1,2]=>[3,1,4,1,2,1]
[2,3,5,2,2,1]=>[3,2,4,2,1,2]
[2,5,1,2,2,3]=>[5,1,3,1,1,6]
[2,5,1,2,3,2]=>[5,1,4,1,6,1]
[2,5,1,3,2,2]=>[5,1,4,6,1,1]
[2,5,2,1,2,3]=>[4,1,2,1,1,5]
[2,5,2,1,3,2]=>[4,1,3,1,5,1]
[2,5,2,2,1,3]=>[4,2,1,2,2,5]
[2,5,2,2,3,1]=>[2,1,6,1,1,3]
[2,5,2,3,1,2]=>[3,1,2,1,4,1]
[2,5,2,3,2,1]=>[3,2,1,2,4,2]
[2,5,3,1,2,2]=>[4,1,3,5,1,1]
[2,5,3,2,1,2]=>[3,1,2,4,1,1]
[2,5,3,2,2,1]=>[3,2,1,4,2,2]
[3,1,2,2,2,5]=>[6,1,2,1,1,4]
[3,1,2,2,5,2]=>[6,1,2,1,1,5]
[3,1,2,5,2,2]=>[6,1,2,1,5,1]
[3,1,5,2,2,2]=>[6,1,3,5,1,1]
[3,2,1,2,2,5]=>[6,2,1,2,2,4]
[3,2,1,2,5,2]=>[6,2,1,2,2,5]
[3,2,1,5,2,2]=>[6,2,1,2,5,2]
[3,2,2,1,2,5]=>[4,1,6,1,1,2]
[3,2,2,1,5,2]=>[4,1,6,1,1,3]
[3,2,2,2,1,5]=>[4,2,6,2,2,1]
[3,2,2,2,5,1]=>[2,1,4,1,1,6]
[3,2,2,5,1,2]=>[3,1,5,1,1,2]
[3,2,2,5,2,1]=>[3,2,5,2,2,1]
[3,2,5,1,2,2]=>[4,1,6,1,3,1]
[3,2,5,2,1,2]=>[3,1,5,1,2,1]
[3,2,5,2,2,1]=>[3,2,5,2,1,2]
[3,5,1,2,2,2]=>[5,1,2,4,1,1]
[3,5,2,1,2,2]=>[5,2,1,4,2,2]
[3,5,2,2,1,2]=>[3,1,6,2,1,1]
[3,5,2,2,2,1]=>[3,2,6,1,2,2]
[5,1,2,2,2,3]=>[6,1,4,1,1,2]
[5,1,2,2,3,2]=>[6,1,5,1,2,1]
[5,1,2,3,2,2]=>[6,1,5,2,1,1]
[5,1,3,2,2,2]=>[6,1,5,3,1,1]
[5,2,1,2,2,3]=>[6,2,4,2,2,1]
[5,2,1,2,3,2]=>[6,2,5,2,1,2]
[5,2,1,3,2,2]=>[6,2,5,1,2,2]
[5,2,2,1,2,3]=>[4,1,2,1,1,6]
[5,2,2,1,3,2]=>[4,1,3,1,6,1]
[5,2,2,2,1,3]=>[4,2,1,2,2,6]
[5,2,2,2,3,1]=>[2,1,6,1,1,4]
[5,2,2,3,1,2]=>[3,1,2,1,5,1]
[5,2,2,3,2,1]=>[3,2,1,2,5,2]
[5,2,3,1,2,2]=>[4,1,3,6,1,1]
[5,2,3,2,1,2]=>[3,1,2,5,1,1]
[5,2,3,2,2,1]=>[3,2,1,5,2,2]
[5,3,1,2,2,2]=>[5,1,4,2,1,1]
[5,3,2,1,2,2]=>[5,2,4,1,2,2]
[5,3,2,2,1,2]=>[3,1,2,6,1,1]
[5,3,2,2,2,1]=>[3,2,1,6,2,2]
[1,2,2,2,3,6]=>[1,2,2,2,3,6]
[1,2,2,2,6,3]=>[2,3,3,3,4,1]
[1,2,2,3,2,6]=>[1,2,2,2,3,5]
[1,2,2,3,6,2]=>[1,2,2,5,3,2]
[1,2,2,6,2,3]=>[2,3,3,1,3,4]
[1,2,2,6,3,2]=>[1,2,2,6,3,2]
[1,2,3,2,2,6]=>[1,2,2,2,3,4]
[1,2,3,2,6,2]=>[1,2,2,4,3,2]
[1,2,3,6,2,2]=>[1,2,4,3,2,2]
[1,2,6,2,2,3]=>[2,3,1,3,3,4]
[1,2,6,2,3,2]=>[1,2,6,2,3,2]
[1,2,6,3,2,2]=>[1,2,5,3,2,2]
[1,3,2,2,2,6]=>[1,2,2,2,4,3]
[1,3,2,2,6,2]=>[1,2,2,3,4,2]
[1,3,2,6,2,2]=>[1,2,3,4,2,2]
[1,3,6,2,2,2]=>[1,2,3,5,2,2]
[1,6,2,2,2,3]=>[2,3,1,3,3,5]
[1,6,2,2,3,2]=>[1,2,6,2,4,2]
[1,6,2,3,2,2]=>[1,2,5,4,2,2]
[1,6,3,2,2,2]=>[1,2,4,5,2,2]
[2,1,2,2,3,6]=>[1,3,3,3,2,6]
[2,1,2,2,6,3]=>[2,4,4,4,3,1]
[2,1,2,3,2,6]=>[1,3,3,3,2,5]
[2,1,2,3,6,2]=>[1,3,3,5,2,3]
[2,1,2,6,2,3]=>[2,4,4,1,4,3]
[2,1,2,6,3,2]=>[1,3,3,6,2,3]
[2,1,3,2,2,6]=>[1,3,3,3,2,4]
[2,1,3,2,6,2]=>[1,3,3,4,2,3]
[2,1,3,6,2,2]=>[1,3,4,2,3,3]
[2,1,6,2,2,3]=>[2,4,1,4,4,3]
[2,1,6,2,3,2]=>[1,3,6,3,2,3]
[2,1,6,3,2,2]=>[1,3,5,2,3,3]
[2,2,1,2,3,6]=>[5,1,1,1,6,3]
[2,2,1,2,6,3]=>[5,1,1,1,6,4]
[2,2,1,3,2,6]=>[5,1,1,1,6,2]
[2,2,1,3,6,2]=>[5,1,1,2,6,1]
[2,2,1,6,2,3]=>[5,1,1,4,1,6]
[2,2,1,6,3,2]=>[5,1,1,3,6,1]
[2,2,2,1,3,6]=>[4,1,1,1,5,2]
[2,2,2,1,6,3]=>[4,1,1,1,5,3]
[2,2,2,3,1,6]=>[4,2,2,2,5,1]
[2,2,2,3,6,1]=>[2,1,1,1,6,3]
[2,2,2,6,1,3]=>[3,1,1,1,2,4]
[2,2,2,6,3,1]=>[3,2,2,2,1,4]
[2,2,3,1,2,6]=>[5,2,2,2,6,1]
[2,2,3,1,6,2]=>[5,2,2,1,6,2]
[2,2,3,2,1,6]=>[3,1,1,1,4,6]
[2,2,3,2,6,1]=>[2,1,1,1,5,3]
[2,2,3,6,1,2]=>[3,1,1,6,4,1]
[2,2,3,6,2,1]=>[2,1,1,5,3,1]
[2,2,6,1,2,3]=>[4,1,1,3,1,5]
[2,2,6,1,3,2]=>[4,1,1,2,5,1]
[2,2,6,2,1,3]=>[3,1,1,2,1,4]
[2,2,6,2,3,1]=>[3,2,2,1,2,4]
[2,2,6,3,1,2]=>[4,2,2,1,5,2]
[2,2,6,3,2,1]=>[2,1,1,6,3,1]
[2,3,1,2,2,6]=>[1,4,4,4,2,3]
[2,3,1,2,6,2]=>[1,4,4,3,2,4]
[2,3,1,6,2,2]=>[1,4,3,2,4,4]
[2,3,2,1,2,6]=>[4,1,1,1,5,6]
[2,3,2,1,6,2]=>[4,1,1,6,5,1]
[2,3,2,2,1,6]=>[3,1,1,1,4,5]
[2,3,2,2,6,1]=>[2,1,1,1,4,3]
[2,3,2,6,1,2]=>[3,1,1,5,4,1]
[2,3,2,6,2,1]=>[2,1,1,4,3,1]
[2,3,6,1,2,2]=>[4,1,6,5,1,1]
[2,3,6,2,1,2]=>[3,1,5,4,1,1]
[2,3,6,2,2,1]=>[2,1,4,3,1,1]
[2,6,1,2,2,3]=>[5,1,4,1,1,6]
[2,6,1,2,3,2]=>[5,1,3,1,6,1]
[2,6,1,3,2,2]=>[5,1,2,6,1,1]
[2,6,2,1,2,3]=>[4,1,3,1,1,5]
[2,6,2,1,3,2]=>[4,1,2,1,5,1]
[2,6,2,2,1,3]=>[3,1,2,1,1,4]
[2,6,2,2,3,1]=>[3,2,1,2,2,4]
[2,6,2,3,1,2]=>[4,2,1,2,5,2]
[2,6,2,3,2,1]=>[2,1,6,1,3,1]
[2,6,3,1,2,2]=>[5,2,1,6,2,2]
[2,6,3,2,1,2]=>[3,1,6,4,1,1]
[2,6,3,2,2,1]=>[2,1,5,3,1,1]
[3,1,2,2,2,6]=>[1,3,3,3,4,2]
[3,1,2,2,6,2]=>[1,3,3,2,4,3]
[3,1,2,6,2,2]=>[1,3,2,4,3,3]
[3,1,6,2,2,2]=>[1,3,2,5,3,3]
[3,2,1,2,2,6]=>[1,4,4,4,3,2]
[3,2,1,2,6,2]=>[1,4,4,2,3,4]
[3,2,1,6,2,2]=>[1,4,2,3,4,4]
[3,2,2,1,2,6]=>[4,1,1,1,6,5]
[3,2,2,1,6,2]=>[4,1,1,5,6,1]
[3,2,2,2,1,6]=>[3,1,1,1,5,4]
[3,2,2,2,6,1]=>[2,1,1,1,3,4]
[3,2,2,6,1,2]=>[3,1,1,4,5,1]
[3,2,2,6,2,1]=>[2,1,1,3,4,1]
[3,2,6,1,2,2]=>[4,1,5,6,1,1]
[3,2,6,2,1,2]=>[3,1,4,5,1,1]
[3,2,6,2,2,1]=>[2,1,3,4,1,1]
[3,6,1,2,2,2]=>[5,1,6,2,1,1]
[3,6,2,1,2,2]=>[5,2,6,1,2,2]
[3,6,2,2,1,2]=>[3,1,4,6,1,1]
[3,6,2,2,2,1]=>[2,1,3,5,1,1]
[6,1,2,2,2,3]=>[6,1,5,1,1,2]
[6,1,2,2,3,2]=>[6,1,4,1,2,1]
[6,1,2,3,2,2]=>[6,1,3,2,1,1]
[6,1,3,2,2,2]=>[6,1,2,3,1,1]
[6,2,1,2,2,3]=>[6,2,5,2,2,1]
[6,2,1,2,3,2]=>[6,2,4,2,1,2]
[6,2,1,3,2,2]=>[6,2,3,1,2,2]
[6,2,2,1,2,3]=>[4,1,3,1,1,6]
[6,2,2,1,3,2]=>[4,1,2,1,6,1]
[6,2,2,2,1,3]=>[3,1,2,1,1,5]
[6,2,2,2,3,1]=>[3,2,1,2,2,5]
[6,2,2,3,1,2]=>[4,2,1,2,6,2]
[6,2,2,3,2,1]=>[2,1,6,1,4,1]
[6,2,3,1,2,2]=>[6,3,2,1,3,3]
[6,2,3,2,1,2]=>[3,1,6,5,1,1]
[6,2,3,2,2,1]=>[2,1,5,4,1,1]
[6,3,1,2,2,2]=>[6,2,1,3,2,2]
[6,3,2,1,2,2]=>[6,3,1,2,3,3]
[6,3,2,2,1,2]=>[3,1,5,6,1,1]
[6,3,2,2,2,1]=>[2,1,4,5,1,1]
[1,2,2,2,4,4]=>[1,2,2,2,4,4]
[1,2,2,4,2,4]=>[1,2,2,4,2,4]
[1,2,2,4,4,2]=>[1,2,2,4,4,2]
[1,2,4,2,2,4]=>[1,2,2,5,2,5]
[1,2,4,2,4,2]=>[1,2,2,5,5,2]
[1,2,4,4,2,2]=>[3,4,4,1,1,4]
[1,4,2,2,2,4]=>[1,2,5,2,2,5]
[1,4,2,2,4,2]=>[1,2,5,2,5,2]
[1,4,2,4,2,2]=>[3,4,1,4,1,4]
[1,4,4,2,2,2]=>[3,4,1,1,4,4]
[2,1,2,2,4,4]=>[6,1,1,1,2,2]
[2,1,2,4,2,4]=>[6,1,1,2,1,2]
[2,1,2,4,4,2]=>[6,1,1,2,2,1]
[2,1,4,2,2,4]=>[6,1,1,3,1,3]
[2,1,4,2,4,2]=>[6,1,1,3,3,1]
[2,1,4,4,2,2]=>[6,1,1,4,4,1]
[2,2,1,2,4,4]=>[6,2,2,2,1,1]
[2,2,1,4,2,4]=>[6,2,2,1,2,1]
[2,2,1,4,4,2]=>[6,2,2,1,1,2]
[2,2,2,1,4,4]=>[6,3,3,3,1,1]
[2,2,2,4,1,4]=>[3,1,1,1,5,5]
[2,2,2,4,4,1]=>[2,1,1,1,4,4]
[2,2,4,1,2,4]=>[6,3,3,1,3,1]
[2,2,4,1,4,2]=>[6,3,3,1,1,3]
[2,2,4,2,1,4]=>[3,1,1,5,1,5]
[2,2,4,2,4,1]=>[2,1,1,4,1,4]
[2,2,4,4,1,2]=>[3,1,1,5,5,1]
[2,2,4,4,2,1]=>[2,1,1,4,4,1]
[2,4,1,2,2,4]=>[5,1,1,2,1,2]
[2,4,1,2,4,2]=>[5,1,1,2,2,1]
[2,4,1,4,2,2]=>[5,1,1,3,3,1]
[2,4,2,1,2,4]=>[5,2,2,1,2,1]
[2,4,2,1,4,2]=>[5,2,2,1,1,2]
[2,4,2,2,1,4]=>[5,3,3,1,3,1]
[2,4,2,2,4,1]=>[2,1,1,5,1,5]
[2,4,2,4,1,2]=>[5,3,3,1,1,3]
[2,4,2,4,2,1]=>[2,1,1,5,5,1]
[2,4,4,1,2,2]=>[4,1,1,2,2,1]
[2,4,4,2,1,2]=>[4,2,2,1,1,2]
[2,4,4,2,2,1]=>[4,3,3,1,1,3]
[4,1,2,2,2,4]=>[6,1,3,1,1,3]
[4,1,2,2,4,2]=>[6,1,3,1,3,1]
[4,1,2,4,2,2]=>[6,1,4,1,4,1]
[4,1,4,2,2,2]=>[6,1,4,4,1,1]
[4,2,1,2,2,4]=>[5,1,2,1,1,2]
[4,2,1,2,4,2]=>[5,1,2,1,2,1]
[4,2,1,4,2,2]=>[5,1,3,1,3,1]
[4,2,2,1,2,4]=>[5,2,1,2,2,1]
[4,2,2,1,4,2]=>[5,2,1,2,1,2]
[4,2,2,2,1,4]=>[5,3,1,3,3,1]
[4,2,2,2,4,1]=>[2,1,5,1,1,5]
[4,2,2,4,1,2]=>[5,3,1,3,1,3]
[4,2,2,4,2,1]=>[2,1,5,1,5,1]
[4,2,4,1,2,2]=>[4,1,2,1,2,1]
[4,2,4,2,1,2]=>[4,2,1,2,1,2]
[4,2,4,2,2,1]=>[4,3,1,3,1,3]
[4,4,1,2,2,2]=>[5,1,3,3,1,1]
[4,4,2,1,2,2]=>[4,1,2,2,1,1]
[4,4,2,2,1,2]=>[4,2,1,1,2,2]
[4,4,2,2,2,1]=>[4,3,1,1,3,3]
[1,2,2,2,4,5]=>[1,2,2,4,2,5]
[1,2,2,2,5,4]=>[1,2,2,5,2,4]
[1,2,2,4,2,5]=>[1,2,2,4,2,6]
[1,2,2,4,5,2]=>[2,3,3,5,3,1]
[1,2,2,5,2,4]=>[1,2,2,6,2,4]
[1,2,2,5,4,2]=>[2,3,3,1,5,3]
[1,2,4,2,2,5]=>[1,2,2,5,2,6]
[1,2,4,2,5,2]=>[2,3,3,6,3,1]
[1,2,4,5,2,2]=>[3,4,4,1,2,4]
[1,2,5,2,2,4]=>[1,2,2,6,2,5]
[1,2,5,2,4,2]=>[2,3,3,1,6,3]
[1,2,5,4,2,2]=>[3,4,4,2,1,4]
[1,4,2,2,2,5]=>[1,2,5,2,2,6]
[1,4,2,2,5,2]=>[2,3,6,3,3,1]
[1,4,2,5,2,2]=>[3,4,1,4,2,4]
[1,4,5,2,2,2]=>[3,4,1,2,4,4]
[1,5,2,2,2,4]=>[1,2,6,2,2,5]
[1,5,2,2,4,2]=>[2,3,1,3,6,3]
[1,5,2,4,2,2]=>[3,4,2,4,1,4]
[1,5,4,2,2,2]=>[3,4,2,1,4,4]
[2,1,2,2,4,5]=>[6,1,1,2,1,3]
[2,1,2,2,5,4]=>[6,1,1,3,1,2]
[2,1,2,4,2,5]=>[6,1,1,2,1,4]
[2,1,2,4,5,2]=>[6,1,1,2,1,5]
[2,1,2,5,2,4]=>[6,1,1,4,1,2]
[2,1,2,5,4,2]=>[6,1,1,5,2,1]
[2,1,4,2,2,5]=>[6,1,1,3,1,4]
[2,1,4,2,5,2]=>[6,1,1,3,1,5]
[2,1,4,5,2,2]=>[6,1,1,4,5,1]
[2,1,5,2,2,4]=>[6,1,1,4,1,3]
[2,1,5,2,4,2]=>[6,1,1,5,3,1]
[2,1,5,4,2,2]=>[6,1,1,5,4,1]
[2,2,1,2,4,5]=>[6,2,2,1,2,3]
[2,2,1,2,5,4]=>[6,2,2,3,2,1]
[2,2,1,4,2,5]=>[6,2,2,1,2,4]
[2,2,1,4,5,2]=>[6,2,2,1,2,5]
[2,2,1,5,2,4]=>[6,2,2,4,2,1]
[2,2,1,5,4,2]=>[6,2,2,5,1,2]
[2,2,2,1,4,5]=>[6,3,3,1,3,2]
[2,2,2,1,5,4]=>[6,3,3,2,3,1]
[2,2,2,4,1,5]=>[3,1,1,5,1,6]
[2,2,2,4,5,1]=>[2,1,1,4,1,5]
[2,2,2,5,1,4]=>[3,1,1,6,1,5]
[2,2,2,5,4,1]=>[2,1,1,5,1,4]
[2,2,4,1,2,5]=>[4,1,1,6,1,2]
[2,2,4,1,5,2]=>[4,1,1,6,1,3]
[2,2,4,2,1,5]=>[4,2,2,6,2,1]
[2,2,4,2,5,1]=>[2,1,1,4,1,6]
[2,2,4,5,1,2]=>[3,1,1,5,1,2]
[2,2,4,5,2,1]=>[3,2,2,5,2,1]
[2,2,5,1,2,4]=>[4,1,1,2,1,6]
[2,2,5,1,4,2]=>[4,1,1,3,6,1]
[2,2,5,2,1,4]=>[4,2,2,1,2,6]
[2,2,5,2,4,1]=>[2,1,1,6,1,4]
[2,2,5,4,1,2]=>[3,1,1,2,5,1]
[2,2,5,4,2,1]=>[3,2,2,1,5,2]
[2,4,1,2,2,5]=>[5,1,1,2,1,3]
[2,4,1,2,5,2]=>[5,1,1,2,1,4]
[2,4,1,5,2,2]=>[5,1,1,3,4,1]
[2,4,2,1,2,5]=>[5,2,2,1,2,3]
[2,4,2,1,5,2]=>[5,2,2,1,2,4]
[2,4,2,2,1,5]=>[5,3,3,1,3,2]
[2,4,2,2,5,1]=>[2,1,1,5,1,6]
[2,4,2,5,1,2]=>[3,1,1,6,1,2]
[2,4,2,5,2,1]=>[3,2,2,6,2,1]
[2,4,5,1,2,2]=>[4,1,1,2,3,1]
[2,4,5,2,1,2]=>[4,2,2,1,3,2]
[2,4,5,2,2,1]=>[4,3,3,1,2,3]
[2,5,1,2,2,4]=>[5,1,1,3,1,2]
[2,5,1,2,4,2]=>[5,1,1,4,2,1]
[2,5,1,4,2,2]=>[5,1,1,4,3,1]
[2,5,2,1,2,4]=>[5,2,2,3,2,1]
[2,5,2,1,4,2]=>[5,2,2,4,1,2]
[2,5,2,2,1,4]=>[5,3,3,2,3,1]
[2,5,2,2,4,1]=>[2,1,1,6,1,5]
[2,5,2,4,1,2]=>[3,1,1,2,6,1]
[2,5,2,4,2,1]=>[3,2,2,1,6,2]
[2,5,4,1,2,2]=>[4,1,1,3,2,1]
[2,5,4,2,1,2]=>[4,2,2,3,1,2]
[2,5,4,2,2,1]=>[4,3,3,2,1,3]
[4,1,2,2,2,5]=>[6,1,3,1,1,4]
[4,1,2,2,5,2]=>[6,1,3,1,1,5]
[4,1,2,5,2,2]=>[6,1,4,1,5,1]
[4,1,5,2,2,2]=>[6,1,4,5,1,1]
[4,2,1,2,2,5]=>[5,1,2,1,1,3]
[4,2,1,2,5,2]=>[5,1,2,1,1,4]
[4,2,1,5,2,2]=>[5,1,3,1,4,1]
[4,2,2,1,2,5]=>[5,2,1,2,2,3]
[4,2,2,1,5,2]=>[5,2,1,2,2,4]
[4,2,2,2,1,5]=>[5,3,1,3,3,2]
[4,2,2,2,5,1]=>[2,1,5,1,1,6]
[4,2,2,5,1,2]=>[3,1,6,1,1,2]
[4,2,2,5,2,1]=>[3,2,6,2,2,1]
[4,2,5,1,2,2]=>[4,1,2,1,3,1]
[4,2,5,2,1,2]=>[4,2,1,2,3,2]
[4,2,5,2,2,1]=>[4,3,1,3,2,3]
[4,5,1,2,2,2]=>[5,1,3,4,1,1]
[4,5,2,1,2,2]=>[4,1,2,3,1,1]
[4,5,2,2,1,2]=>[4,2,1,3,2,2]
[4,5,2,2,2,1]=>[4,3,1,2,3,3]
[5,1,2,2,2,4]=>[6,1,4,1,1,3]
[5,1,2,2,4,2]=>[6,1,5,1,3,1]
[5,1,2,4,2,2]=>[6,1,5,1,4,1]
[5,1,4,2,2,2]=>[6,1,5,4,1,1]
[5,2,1,2,2,4]=>[5,1,3,1,1,2]
[5,2,1,2,4,2]=>[5,1,4,1,2,1]
[5,2,1,4,2,2]=>[5,1,4,1,3,1]
[5,2,2,1,2,4]=>[5,2,3,2,2,1]
[5,2,2,1,4,2]=>[5,2,4,2,1,2]
[5,2,2,2,1,4]=>[5,3,2,3,3,1]
[5,2,2,2,4,1]=>[2,1,6,1,1,5]
[5,2,2,4,1,2]=>[3,1,2,1,6,1]
[5,2,2,4,2,1]=>[3,2,1,2,6,2]
[5,2,4,1,2,2]=>[4,1,3,1,2,1]
[5,2,4,2,1,2]=>[4,2,3,2,1,2]
[5,2,4,2,2,1]=>[4,3,2,3,1,3]
[5,4,1,2,2,2]=>[5,1,4,3,1,1]
[5,4,2,1,2,2]=>[4,1,3,2,1,1]
[5,4,2,2,1,2]=>[4,2,3,1,2,2]
[5,4,2,2,2,1]=>[4,3,2,1,3,3]
[1,2,2,2,4,6]=>[1,2,2,2,4,6]
[1,2,2,2,6,4]=>[2,3,3,3,5,1]
[1,2,2,4,2,6]=>[1,2,2,2,4,5]
[1,2,2,4,6,2]=>[1,2,2,5,4,2]
[1,2,2,6,2,4]=>[2,3,3,1,3,5]
[1,2,2,6,4,2]=>[1,2,2,6,4,2]
[1,2,4,2,2,6]=>[1,2,2,2,5,4]
[1,2,4,2,6,2]=>[1,2,2,4,5,2]
[1,2,4,6,2,2]=>[1,2,2,4,6,2]
[1,2,6,2,2,4]=>[2,3,3,1,3,6]
[1,2,6,2,4,2]=>[1,2,2,6,5,2]
[1,2,6,4,2,2]=>[1,2,2,5,6,2]
[1,4,2,2,2,6]=>[1,2,2,2,5,3]
[1,4,2,2,6,2]=>[1,2,2,3,5,2]
[1,4,2,6,2,2]=>[1,2,2,3,6,2]
[1,4,6,2,2,2]=>[1,2,3,6,2,2]
[1,6,2,2,2,4]=>[2,3,1,3,3,6]
[1,6,2,2,4,2]=>[1,2,6,2,5,2]
[1,6,2,4,2,2]=>[1,2,5,2,6,2]
[1,6,4,2,2,2]=>[1,2,4,6,2,2]
[2,1,2,2,4,6]=>[6,1,1,1,2,4]
[2,1,2,2,6,4]=>[6,1,1,1,2,5]
[2,1,2,4,2,6]=>[6,1,1,1,2,3]
[2,1,2,4,6,2]=>[6,1,1,3,2,1]
[2,1,2,6,2,4]=>[6,1,1,5,1,2]
[2,1,2,6,4,2]=>[6,1,1,4,2,1]
[2,1,4,2,2,6]=>[6,1,1,1,3,2]
[2,1,4,2,6,2]=>[6,1,1,2,3,1]
[2,1,4,6,2,2]=>[6,1,1,2,4,1]
[2,1,6,2,2,4]=>[6,1,1,5,1,3]
[2,1,6,2,4,2]=>[6,1,1,4,3,1]
[2,1,6,4,2,2]=>[6,1,1,3,4,1]
[2,2,1,2,4,6]=>[6,2,2,2,1,4]
[2,2,1,2,6,4]=>[6,2,2,2,1,5]
[2,2,1,4,2,6]=>[6,2,2,2,1,3]
[2,2,1,4,6,2]=>[6,2,2,3,1,2]
[2,2,1,6,2,4]=>[6,2,2,5,2,1]
[2,2,1,6,4,2]=>[6,2,2,4,1,2]
[2,2,2,1,4,6]=>[4,1,1,1,6,2]
[2,2,2,1,6,4]=>[4,1,1,1,6,3]
[2,2,2,4,1,6]=>[4,2,2,2,6,1]
[2,2,2,4,6,1]=>[2,1,1,1,6,4]
[2,2,2,6,1,4]=>[3,1,1,1,2,5]
[2,2,2,6,4,1]=>[3,2,2,2,1,5]
[2,2,4,1,2,6]=>[6,3,3,3,1,2]
[2,2,4,1,6,2]=>[6,3,3,2,1,3]
[2,2,4,2,1,6]=>[3,1,1,1,5,6]
[2,2,4,2,6,1]=>[2,1,1,1,5,4]
[2,2,4,6,1,2]=>[3,1,1,6,5,1]
[2,2,4,6,2,1]=>[2,1,1,5,4,1]
[2,2,6,1,2,4]=>[4,1,1,3,1,6]
[2,2,6,1,4,2]=>[4,1,1,2,6,1]
[2,2,6,2,1,4]=>[3,1,1,2,1,5]
[2,2,6,2,4,1]=>[3,2,2,1,2,5]
[2,2,6,4,1,2]=>[4,2,2,1,6,2]
[2,2,6,4,2,1]=>[2,1,1,6,4,1]
[2,4,1,2,2,6]=>[6,2,2,2,3,1]
[2,4,1,2,6,2]=>[6,2,2,1,3,2]
[2,4,1,6,2,2]=>[6,2,2,1,4,2]
[2,4,2,1,2,6]=>[6,3,3,3,2,1]
[2,4,2,1,6,2]=>[6,3,3,1,2,3]
[2,4,2,2,1,6]=>[3,1,1,1,6,5]
[2,4,2,2,6,1]=>[2,1,1,1,4,5]
[2,4,2,6,1,2]=>[3,1,1,5,6,1]
[2,4,2,6,2,1]=>[2,1,1,4,5,1]
[2,4,6,1,2,2]=>[4,1,1,6,2,1]
[2,4,6,2,1,2]=>[4,2,2,6,1,2]
[2,4,6,2,2,1]=>[2,1,1,4,6,1]
[2,6,1,2,2,4]=>[5,1,1,4,1,2]
[2,6,1,2,4,2]=>[5,1,1,3,2,1]
[2,6,1,4,2,2]=>[5,1,1,2,3,1]
[2,6,2,1,2,4]=>[5,2,2,4,2,1]
[2,6,2,1,4,2]=>[5,2,2,3,1,2]
[2,6,2,2,1,4]=>[3,1,1,2,1,6]
[2,6,2,2,4,1]=>[3,2,2,1,2,6]
[2,6,2,4,1,2]=>[5,3,3,2,1,3]
[2,6,2,4,2,1]=>[2,1,1,6,5,1]
[2,6,4,1,2,2]=>[5,2,2,1,3,2]
[2,6,4,2,1,2]=>[5,3,3,1,2,3]
[2,6,4,2,2,1]=>[2,1,1,5,6,1]
[4,1,2,2,2,6]=>[1,3,3,3,5,2]
[4,1,2,2,6,2]=>[1,3,3,2,5,3]
[4,1,2,6,2,2]=>[1,3,3,2,6,3]
[4,1,6,2,2,2]=>[1,3,2,6,3,3]
[4,2,1,2,2,6]=>[5,1,1,1,2,6]
[4,2,1,2,6,2]=>[5,1,1,6,2,1]
[4,2,1,6,2,2]=>[5,1,1,6,3,1]
[4,2,2,1,2,6]=>[5,2,2,2,1,6]
[4,2,2,1,6,2]=>[5,2,2,6,1,2]
[4,2,2,2,1,6]=>[3,1,1,1,6,4]
[4,2,2,2,6,1]=>[2,1,1,1,3,5]
[4,2,2,6,1,2]=>[3,1,1,4,6,1]
[4,2,2,6,2,1]=>[2,1,1,3,5,1]
[4,2,6,1,2,2]=>[4,1,1,5,2,1]
[4,2,6,2,1,2]=>[4,2,2,5,1,2]
[4,2,6,2,2,1]=>[2,1,1,3,6,1]
[4,6,1,2,2,2]=>[5,1,6,3,1,1]
[4,6,2,1,2,2]=>[4,1,5,2,1,1]
[4,6,2,2,1,2]=>[4,2,5,1,2,2]
[4,6,2,2,2,1]=>[2,1,3,6,1,1]
[6,1,2,2,2,4]=>[6,1,5,1,1,3]
[6,1,2,2,4,2]=>[6,1,4,1,3,1]
[6,1,2,4,2,2]=>[6,1,3,1,4,1]
[6,1,4,2,2,2]=>[6,1,2,4,1,1]
[6,2,1,2,2,4]=>[5,1,4,1,1,2]
[6,2,1,2,4,2]=>[5,1,3,1,2,1]
[6,2,1,4,2,2]=>[5,1,2,1,3,1]
[6,2,2,1,2,4]=>[5,2,4,2,2,1]
[6,2,2,1,4,2]=>[5,2,3,2,1,2]
[6,2,2,2,1,4]=>[3,1,2,1,1,6]
[6,2,2,2,4,1]=>[3,2,1,2,2,6]
[6,2,2,4,1,2]=>[5,3,2,3,1,3]
[6,2,2,4,2,1]=>[2,1,6,1,5,1]
[6,2,4,1,2,2]=>[5,2,1,2,3,2]
[6,2,4,2,1,2]=>[5,3,1,3,2,3]
[6,2,4,2,2,1]=>[2,1,5,1,6,1]
[6,4,1,2,2,2]=>[6,2,1,4,2,2]
[6,4,2,1,2,2]=>[4,1,6,2,1,1]
[6,4,2,2,1,2]=>[4,2,6,1,2,2]
[6,4,2,2,2,1]=>[2,1,4,6,1,1]
[1,2,2,2,5,5]=>[1,2,2,2,5,5]
[1,2,2,5,2,5]=>[3,4,4,4,1,1]
[1,2,2,5,5,2]=>[2,3,3,3,1,1]
[1,2,5,2,2,5]=>[3,4,4,1,4,1]
[1,2,5,2,5,2]=>[2,3,3,1,3,1]
[1,2,5,5,2,2]=>[2,3,3,1,1,3]
[1,5,2,2,2,5]=>[3,4,1,4,4,1]
[1,5,2,2,5,2]=>[2,3,1,3,3,1]
[1,5,2,5,2,2]=>[2,3,1,3,1,3]
[1,5,5,2,2,2]=>[2,3,1,1,3,3]
[2,1,2,2,5,5]=>[6,1,1,1,3,3]
[2,1,2,5,2,5]=>[6,1,1,1,4,4]
[2,1,2,5,5,2]=>[2,4,4,4,1,1]
[2,1,5,2,2,5]=>[6,1,1,4,1,4]
[2,1,5,2,5,2]=>[2,4,4,1,4,1]
[2,1,5,5,2,2]=>[2,4,4,1,1,4]
[2,2,1,2,5,5]=>[5,1,1,1,2,2]
[2,2,1,5,2,5]=>[5,1,1,1,3,3]
[2,2,1,5,5,2]=>[5,1,1,1,4,4]
[2,2,2,1,5,5]=>[5,2,2,2,1,1]
[2,2,2,5,1,5]=>[5,3,3,3,1,1]
[2,2,2,5,5,1]=>[2,1,1,1,5,5]
[2,2,5,1,2,5]=>[4,1,1,1,2,2]
[2,2,5,1,5,2]=>[4,1,1,1,3,3]
[2,2,5,2,1,5]=>[4,2,2,2,1,1]
[2,2,5,2,5,1]=>[4,3,3,3,1,1]
[2,2,5,5,1,2]=>[3,1,1,1,2,2]
[2,2,5,5,2,1]=>[3,2,2,2,1,1]
[2,5,1,2,2,5]=>[5,1,1,3,1,3]
[2,5,1,2,5,2]=>[5,1,1,4,1,4]
[2,5,1,5,2,2]=>[5,1,1,4,4,1]
[2,5,2,1,2,5]=>[4,1,1,2,1,2]
[2,5,2,1,5,2]=>[4,1,1,3,1,3]
[2,5,2,2,1,5]=>[4,2,2,1,2,1]
[2,5,2,2,5,1]=>[4,3,3,1,3,1]
[2,5,2,5,1,2]=>[3,1,1,2,1,2]
[2,5,2,5,2,1]=>[3,2,2,1,2,1]
[2,5,5,1,2,2]=>[4,1,1,3,3,1]
[2,5,5,2,1,2]=>[3,1,1,2,2,1]
[2,5,5,2,2,1]=>[3,2,2,1,1,2]
[5,1,2,2,2,5]=>[6,1,4,1,1,4]
[5,1,2,2,5,2]=>[2,4,1,4,4,1]
[5,1,2,5,2,2]=>[2,4,1,4,1,4]
[5,1,5,2,2,2]=>[2,4,1,1,4,4]
[5,2,1,2,2,5]=>[5,1,3,1,1,3]
[5,2,1,2,5,2]=>[5,1,4,1,1,4]
[5,2,1,5,2,2]=>[5,1,4,1,4,1]
[5,2,2,1,2,5]=>[4,1,2,1,1,2]
[5,2,2,1,5,2]=>[4,1,3,1,1,3]
[5,2,2,2,1,5]=>[4,2,1,2,2,1]
[5,2,2,2,5,1]=>[4,3,1,3,3,1]
[5,2,2,5,1,2]=>[3,1,2,1,1,2]
[5,2,2,5,2,1]=>[3,2,1,2,2,1]
[5,2,5,1,2,2]=>[4,1,3,1,3,1]
[5,2,5,2,1,2]=>[3,1,2,1,2,1]
[5,2,5,2,2,1]=>[3,2,1,2,1,2]
[5,5,1,2,2,2]=>[5,1,4,4,1,1]
[5,5,2,1,2,2]=>[4,1,3,3,1,1]
[5,5,2,2,1,2]=>[3,1,2,2,1,1]
[5,5,2,2,2,1]=>[3,2,1,1,2,2]
[1,2,2,2,5,6]=>[1,2,2,2,5,6]
[1,2,2,2,6,5]=>[2,3,3,3,6,1]
[1,2,2,5,2,6]=>[1,2,2,2,6,5]
[1,2,2,5,6,2]=>[2,3,3,3,1,6]
[1,2,2,6,2,5]=>[3,4,4,4,1,2]
[1,2,2,6,5,2]=>[3,4,4,4,2,1]
[1,2,5,2,2,6]=>[1,2,2,2,6,4]
[1,2,5,2,6,2]=>[2,3,3,3,1,5]
[1,2,5,6,2,2]=>[2,3,3,5,1,3]
[1,2,6,2,2,5]=>[3,4,4,2,4,1]
[1,2,6,2,5,2]=>[3,4,4,1,4,2]
[1,2,6,5,2,2]=>[2,3,3,6,1,3]
[1,5,2,2,2,6]=>[1,2,2,2,6,3]
[1,5,2,2,6,2]=>[2,3,3,3,1,4]
[1,5,2,6,2,2]=>[2,3,3,4,1,3]
[1,5,6,2,2,2]=>[2,3,4,1,3,3]
[1,6,2,2,2,5]=>[3,4,2,4,4,1]
[1,6,2,2,5,2]=>[3,4,1,4,4,2]
[1,6,2,5,2,2]=>[2,3,6,3,1,3]
[1,6,5,2,2,2]=>[2,3,5,1,3,3]
[2,1,2,2,5,6]=>[6,1,1,1,3,4]
[2,1,2,2,6,5]=>[6,1,1,1,3,5]
[2,1,2,5,2,6]=>[6,1,1,1,4,3]
[2,1,2,5,6,2]=>[6,1,1,1,5,3]
[2,1,2,6,2,5]=>[6,1,1,1,4,5]
[2,1,2,6,5,2]=>[6,1,1,1,5,4]
[2,1,5,2,2,6]=>[6,1,1,1,4,2]
[2,1,5,2,6,2]=>[6,1,1,1,5,2]
[2,1,5,6,2,2]=>[6,1,1,2,5,1]
[2,1,6,2,2,5]=>[6,1,1,5,1,4]
[2,1,6,2,5,2]=>[6,1,1,4,1,5]
[2,1,6,5,2,2]=>[6,1,1,3,5,1]
[2,2,1,2,5,6]=>[5,1,1,1,2,3]
[2,2,1,2,6,5]=>[5,1,1,1,2,4]
[2,2,1,5,2,6]=>[5,1,1,1,3,2]
[2,2,1,5,6,2]=>[5,1,1,1,4,2]
[2,2,1,6,2,5]=>[5,1,1,1,3,4]
[2,2,1,6,5,2]=>[5,1,1,1,4,3]
[2,2,2,1,5,6]=>[5,2,2,2,1,3]
[2,2,2,1,6,5]=>[5,2,2,2,1,4]
[2,2,2,5,1,6]=>[5,3,3,3,1,2]
[2,2,2,5,6,1]=>[2,1,1,1,6,5]
[2,2,2,6,1,5]=>[3,1,1,1,2,6]
[2,2,2,6,5,1]=>[3,2,2,2,1,6]
[2,2,5,1,2,6]=>[5,2,2,2,3,1]
[2,2,5,1,6,2]=>[5,2,2,2,4,1]
[2,2,5,2,1,6]=>[5,3,3,3,2,1]
[2,2,5,2,6,1]=>[2,1,1,1,5,6]
[2,2,5,6,1,2]=>[3,1,1,1,6,2]
[2,2,5,6,2,1]=>[3,2,2,2,6,1]
[2,2,6,1,2,5]=>[4,1,1,1,3,2]
[2,2,6,1,5,2]=>[4,1,1,1,2,3]
[2,2,6,2,1,5]=>[4,2,2,2,3,1]
[2,2,6,2,5,1]=>[4,3,3,3,2,1]
[2,2,6,5,1,2]=>[4,2,2,2,1,3]
[2,2,6,5,2,1]=>[4,3,3,3,1,2]
[2,5,1,2,2,6]=>[6,2,2,2,4,1]
[2,5,1,2,6,2]=>[6,2,2,2,5,1]
[2,5,1,6,2,2]=>[6,2,2,1,5,2]
[2,5,2,1,2,6]=>[4,1,1,1,2,6]
[2,5,2,1,6,2]=>[4,1,1,1,3,6]
[2,5,2,2,1,6]=>[4,2,2,2,1,6]
[2,5,2,2,6,1]=>[2,1,1,1,4,6]
[2,5,2,6,1,2]=>[3,1,1,1,5,2]
[2,5,2,6,2,1]=>[3,2,2,2,5,1]
[2,5,6,1,2,2]=>[4,1,1,6,3,1]
[2,5,6,2,1,2]=>[3,1,1,5,2,1]
[2,5,6,2,2,1]=>[3,2,2,5,1,2]
[2,6,1,2,2,5]=>[5,1,1,4,1,3]
[2,6,1,2,5,2]=>[5,1,1,3,1,4]
[2,6,1,5,2,2]=>[5,1,1,2,4,1]
[2,6,2,1,2,5]=>[4,1,1,3,1,2]
[2,6,2,1,5,2]=>[4,1,1,2,1,3]
[2,6,2,2,1,5]=>[4,2,2,3,2,1]
[2,6,2,2,5,1]=>[4,3,3,2,3,1]
[2,6,2,5,1,2]=>[4,2,2,1,2,3]
[2,6,2,5,2,1]=>[4,3,3,1,3,2]
[2,6,5,1,2,2]=>[5,2,2,1,4,2]
[2,6,5,2,1,2]=>[3,1,1,6,2,1]
[2,6,5,2,2,1]=>[3,2,2,6,1,2]
[5,1,2,2,2,6]=>[1,3,3,3,6,2]
[5,1,2,2,6,2]=>[2,4,4,4,1,3]
[5,1,2,6,2,2]=>[2,4,4,3,1,4]
[5,1,6,2,2,2]=>[2,4,3,1,4,4]
[5,2,1,2,2,6]=>[5,1,1,1,3,6]
[5,2,1,2,6,2]=>[5,1,1,1,4,6]
[5,2,1,6,2,2]=>[5,1,1,6,4,1]
[5,2,2,1,2,6]=>[4,1,1,1,2,5]
[5,2,2,1,6,2]=>[4,1,1,1,3,5]
[5,2,2,2,1,6]=>[4,2,2,2,1,5]
[5,2,2,2,6,1]=>[2,1,1,1,3,6]
[5,2,2,6,1,2]=>[3,1,1,1,4,2]
[5,2,2,6,2,1]=>[3,2,2,2,4,1]
[5,2,6,1,2,2]=>[4,1,1,5,3,1]
[5,2,6,2,1,2]=>[3,1,1,4,2,1]
[5,2,6,2,2,1]=>[3,2,2,4,1,2]
[5,6,1,2,2,2]=>[5,1,6,4,1,1]
[5,6,2,1,2,2]=>[4,1,5,3,1,1]
[5,6,2,2,1,2]=>[3,1,4,2,1,1]
[5,6,2,2,2,1]=>[3,2,4,1,2,2]
[6,1,2,2,2,5]=>[6,1,5,1,1,4]
[6,1,2,2,5,2]=>[6,1,4,1,1,5]
[6,1,2,5,2,2]=>[6,1,3,1,5,1]
[6,1,5,2,2,2]=>[6,1,2,5,1,1]
[6,2,1,2,2,5]=>[5,1,4,1,1,3]
[6,2,1,2,5,2]=>[5,1,3,1,1,4]
[6,2,1,5,2,2]=>[5,1,2,1,4,1]
[6,2,2,1,2,5]=>[4,1,3,1,1,2]
[6,2,2,1,5,2]=>[4,1,2,1,1,3]
[6,2,2,2,1,5]=>[4,2,3,2,2,1]
[6,2,2,2,5,1]=>[4,3,2,3,3,1]
[6,2,2,5,1,2]=>[4,2,1,2,2,3]
[6,2,2,5,2,1]=>[4,3,1,3,3,2]
[6,2,5,1,2,2]=>[5,2,1,2,4,2]
[6,2,5,2,1,2]=>[3,1,6,1,2,1]
[6,2,5,2,2,1]=>[3,2,6,2,1,2]
[6,5,1,2,2,2]=>[6,2,1,5,2,2]
[6,5,2,1,2,2]=>[4,1,6,3,1,1]
[6,5,2,2,1,2]=>[3,1,5,2,1,1]
[6,5,2,2,2,1]=>[3,2,5,1,2,2]
[1,2,2,3,3,3]=>[1,2,2,3,3,3]
[1,2,3,2,3,3]=>[1,2,3,2,3,3]
[1,2,3,3,2,3]=>[1,2,3,3,2,3]
[1,2,3,3,3,2]=>[1,2,3,3,3,2]
[1,3,2,2,3,3]=>[1,2,4,2,4,4]
[1,3,2,3,2,3]=>[1,2,4,4,2,4]
[1,3,2,3,3,2]=>[1,2,4,4,4,2]
[1,3,3,2,2,3]=>[4,5,1,1,5,1]
[1,3,3,2,3,2]=>[4,5,1,1,1,5]
[1,3,3,3,2,2]=>[3,4,1,1,1,4]
[2,1,2,3,3,3]=>[1,3,3,2,2,2]
[2,1,3,2,3,3]=>[1,3,2,3,2,2]
[2,1,3,3,2,3]=>[1,3,2,2,3,2]
[2,1,3,3,3,2]=>[1,3,2,2,2,3]
[2,2,1,3,3,3]=>[1,4,4,2,2,2]
[2,2,3,1,3,3]=>[1,5,5,2,2,2]
[2,2,3,3,1,3]=>[3,1,1,4,4,4]
[2,2,3,3,3,1]=>[2,1,1,3,3,3]
[2,3,1,2,3,3]=>[1,4,2,4,2,2]
[2,3,1,3,2,3]=>[1,4,2,2,4,2]
[2,3,1,3,3,2]=>[1,4,2,2,2,4]
[2,3,2,1,3,3]=>[1,5,2,5,2,2]
[2,3,2,3,1,3]=>[3,1,4,1,4,4]
[2,3,2,3,3,1]=>[2,1,3,1,3,3]
[2,3,3,1,2,3]=>[1,5,2,2,5,2]
[2,3,3,1,3,2]=>[1,5,2,2,2,5]
[2,3,3,2,1,3]=>[3,1,4,4,1,4]
[2,3,3,2,3,1]=>[2,1,3,3,1,3]
[2,3,3,3,1,2]=>[3,1,4,4,4,1]
[2,3,3,3,2,1]=>[2,1,3,3,3,1]
[3,1,2,2,3,3]=>[6,1,2,1,2,2]
[3,1,2,3,2,3]=>[6,1,2,2,1,2]
[3,1,2,3,3,2]=>[6,1,2,2,2,1]
[3,1,3,2,2,3]=>[6,1,3,3,1,3]
[3,1,3,2,3,2]=>[6,1,3,3,3,1]
[3,1,3,3,2,2]=>[3,5,1,1,1,5]
[3,2,1,2,3,3]=>[6,2,1,2,1,1]
[3,2,1,3,2,3]=>[6,2,1,1,2,1]
[3,2,1,3,3,2]=>[6,2,1,1,1,2]
[3,2,2,1,3,3]=>[6,3,1,3,1,1]
[3,2,2,3,1,3]=>[6,4,1,4,1,1]
[3,2,2,3,3,1]=>[2,1,4,1,4,4]
[3,2,3,1,2,3]=>[6,3,1,1,3,1]
[3,2,3,1,3,2]=>[6,3,1,1,1,3]
[3,2,3,2,1,3]=>[6,4,1,1,4,1]
[3,2,3,2,3,1]=>[2,1,4,4,1,4]
[3,2,3,3,1,2]=>[6,4,1,1,1,4]
[3,2,3,3,2,1]=>[2,1,4,4,4,1]
[3,3,1,2,2,3]=>[5,1,2,2,1,2]
[3,3,1,2,3,2]=>[5,1,2,2,2,1]
[3,3,1,3,2,2]=>[5,1,3,3,3,1]
[3,3,2,1,2,3]=>[5,2,1,1,2,1]
[3,3,2,1,3,2]=>[5,2,1,1,1,2]
[3,3,2,2,1,3]=>[5,3,1,1,3,1]
[3,3,2,2,3,1]=>[5,4,1,1,4,1]
[3,3,2,3,1,2]=>[5,3,1,1,1,3]
[3,3,2,3,2,1]=>[5,4,1,1,1,4]
[3,3,3,1,2,2]=>[4,1,2,2,2,1]
[3,3,3,2,1,2]=>[4,2,1,1,1,2]
[3,3,3,2,2,1]=>[4,3,1,1,1,3]
[1,2,2,3,3,4]=>[1,2,3,3,2,4]
[1,2,2,3,4,3]=>[1,2,3,4,2,3]
[1,2,2,4,3,3]=>[1,2,4,2,3,3]
[1,2,3,2,3,4]=>[1,2,3,3,2,5]
[1,2,3,2,4,3]=>[1,2,3,5,2,3]
[1,2,3,3,2,4]=>[1,2,3,3,2,6]
[1,2,3,3,4,2]=>[2,3,4,4,3,1]
[1,2,3,4,2,3]=>[1,2,3,6,2,3]
[1,2,3,4,3,2]=>[2,3,4,1,4,3]
[1,2,4,2,3,3]=>[1,2,5,2,3,3]
[1,2,4,3,2,3]=>[1,2,6,3,2,3]
[1,2,4,3,3,2]=>[2,3,1,4,4,3]
[1,3,2,2,3,4]=>[1,2,4,4,2,5]
[1,3,2,2,4,3]=>[1,2,4,5,2,4]
[1,3,2,3,2,4]=>[1,2,4,4,2,6]
[1,3,2,3,4,2]=>[2,3,5,5,3,1]
[1,3,2,4,2,3]=>[1,2,4,6,2,4]
[1,3,2,4,3,2]=>[2,3,5,1,5,3]
[1,3,3,2,2,4]=>[4,5,1,1,5,2]
[1,3,3,2,4,2]=>[4,5,1,1,5,3]
[1,3,3,4,2,2]=>[3,4,1,1,2,4]
[1,3,4,2,2,3]=>[4,5,1,2,5,1]
[1,3,4,2,3,2]=>[4,5,1,3,1,5]
[1,3,4,3,2,2]=>[3,4,1,2,1,4]
[1,4,2,2,3,3]=>[1,2,5,2,4,4]
[1,4,2,3,2,3]=>[1,2,6,4,2,4]
[1,4,2,3,3,2]=>[2,3,1,5,5,3]
[1,4,3,2,2,3]=>[4,5,2,1,5,1]
[1,4,3,2,3,2]=>[4,5,3,1,1,5]
[1,4,3,3,2,2]=>[3,4,2,1,1,4]
[2,1,2,3,3,4]=>[1,3,2,2,3,4]
[2,1,2,3,4,3]=>[1,3,2,4,3,2]
[2,1,2,4,3,3]=>[1,3,4,3,2,2]
[2,1,3,2,3,4]=>[1,3,2,2,3,5]
[2,1,3,2,4,3]=>[1,3,2,5,3,2]
[2,1,3,3,2,4]=>[1,3,2,2,3,6]
[2,1,3,3,4,2]=>[2,4,3,3,4,1]
[2,1,3,4,2,3]=>[1,3,2,6,3,2]
[2,1,3,4,3,2]=>[2,4,3,1,3,4]
[2,1,4,2,3,3]=>[1,3,5,3,2,2]
[2,1,4,3,2,3]=>[1,3,6,2,3,2]
[2,1,4,3,3,2]=>[2,4,1,3,3,4]
[2,2,1,3,3,4]=>[1,4,2,2,4,3]
[2,2,1,3,4,3]=>[1,4,2,3,4,2]
[2,2,1,4,3,3]=>[1,4,3,4,2,2]
[2,2,3,1,3,4]=>[1,5,2,2,5,3]
[2,2,3,1,4,3]=>[1,5,2,3,5,2]
[2,2,3,3,1,4]=>[3,1,4,4,1,5]
[2,2,3,3,4,1]=>[2,1,3,3,1,4]
[2,2,3,4,1,3]=>[3,1,4,5,1,4]
[2,2,3,4,3,1]=>[2,1,3,4,1,3]
[2,2,4,1,3,3]=>[1,5,3,5,2,2]
[2,2,4,3,1,3]=>[3,1,5,1,4,4]
[2,2,4,3,3,1]=>[2,1,4,1,3,3]
[2,3,1,2,3,4]=>[1,4,2,2,4,5]
[2,3,1,2,4,3]=>[1,4,2,5,4,2]
[2,3,1,3,2,4]=>[1,4,2,2,4,6]
[2,3,1,3,4,2]=>[2,5,3,3,5,1]
[2,3,1,4,2,3]=>[1,4,2,6,4,2]
[2,3,1,4,3,2]=>[2,5,3,1,3,5]
[2,3,2,1,3,4]=>[1,5,2,2,5,4]
[2,3,2,1,4,3]=>[1,5,2,4,5,2]
[2,3,2,3,1,4]=>[3,1,4,4,1,6]
[2,3,2,3,4,1]=>[2,1,3,3,1,5]
[2,3,2,4,1,3]=>[3,1,4,6,1,4]
[2,3,2,4,3,1]=>[2,1,3,5,1,3]
[2,3,3,1,2,4]=>[4,1,5,5,1,2]
[2,3,3,1,4,2]=>[4,1,5,5,1,3]
[2,3,3,2,1,4]=>[4,2,5,5,2,1]
[2,3,3,2,4,1]=>[2,1,3,3,1,6]
[2,3,3,4,1,2]=>[3,1,4,4,1,2]
[2,3,3,4,2,1]=>[3,2,4,4,2,1]
[2,3,4,1,2,3]=>[4,1,5,2,1,5]
[2,3,4,1,3,2]=>[4,1,5,3,5,1]
[2,3,4,2,1,3]=>[4,2,5,1,2,5]
[2,3,4,2,3,1]=>[2,1,3,6,1,3]
[2,3,4,3,1,2]=>[3,1,4,2,4,1]
[2,3,4,3,2,1]=>[3,2,4,1,4,2]
[2,4,1,2,3,3]=>[1,4,5,4,2,2]
[2,4,1,3,2,3]=>[1,4,6,2,4,2]
[2,4,1,3,3,2]=>[2,5,1,3,3,5]
[2,4,2,1,3,3]=>[1,5,4,5,2,2]
[2,4,2,3,1,3]=>[3,1,6,1,4,4]
[2,4,2,3,3,1]=>[2,1,5,1,3,3]
[2,4,3,1,2,3]=>[4,1,2,5,1,5]
[2,4,3,1,3,2]=>[4,1,3,5,5,1]
[2,4,3,2,1,3]=>[4,2,1,5,2,5]
[2,4,3,2,3,1]=>[2,1,6,3,1,3]
[2,4,3,3,1,2]=>[3,1,2,4,4,1]
[2,4,3,3,2,1]=>[3,2,1,4,4,2]
[3,1,2,2,3,4]=>[6,1,2,2,1,3]
[3,1,2,2,4,3]=>[6,1,2,3,1,2]
[3,1,2,3,2,4]=>[6,1,2,2,1,4]
[3,1,2,3,4,2]=>[6,1,2,2,1,5]
[3,1,2,4,2,3]=>[6,1,2,4,1,2]
[3,1,2,4,3,2]=>[6,1,2,5,2,1]
[3,1,3,2,2,4]=>[6,1,3,3,1,4]
[3,1,3,2,4,2]=>[6,1,3,3,1,5]
[3,1,3,4,2,2]=>[3,5,1,1,2,5]
[3,1,4,2,2,3]=>[6,1,3,4,1,3]
[3,1,4,2,3,2]=>[6,1,3,5,3,1]
[3,1,4,3,2,2]=>[3,5,1,2,1,5]
[3,2,1,2,3,4]=>[6,2,1,1,2,3]
[3,2,1,2,4,3]=>[6,2,1,3,2,1]
[3,2,1,3,2,4]=>[6,2,1,1,2,4]
[3,2,1,3,4,2]=>[6,2,1,1,2,5]
[3,2,1,4,2,3]=>[6,2,1,4,2,1]
[3,2,1,4,3,2]=>[6,2,1,5,1,2]
[3,2,2,1,3,4]=>[6,3,1,1,3,2]
[3,2,2,1,4,3]=>[6,3,1,2,3,1]
[3,2,2,3,1,4]=>[6,4,1,1,4,2]
[3,2,2,3,4,1]=>[2,1,4,4,1,5]
[3,2,2,4,1,3]=>[6,4,1,2,4,1]
[3,2,2,4,3,1]=>[2,1,4,5,1,4]
[3,2,3,1,2,4]=>[6,3,1,1,3,4]
[3,2,3,1,4,2]=>[6,3,1,1,3,5]
[3,2,3,2,1,4]=>[6,4,1,1,4,3]
[3,2,3,2,4,1]=>[2,1,4,4,1,6]
[3,2,3,4,1,2]=>[3,1,5,5,1,2]
[3,2,3,4,2,1]=>[3,2,5,5,2,1]
[3,2,4,1,2,3]=>[6,3,1,4,3,1]
[3,2,4,1,3,2]=>[6,3,1,5,1,3]
[3,2,4,2,1,3]=>[6,4,1,3,4,1]
[3,2,4,2,3,1]=>[2,1,4,6,1,4]
[3,2,4,3,1,2]=>[3,1,5,2,5,1]
[3,2,4,3,2,1]=>[3,2,5,1,5,2]
[3,3,1,2,2,4]=>[5,1,2,2,1,3]
[3,3,1,2,4,2]=>[5,1,2,2,1,4]
[3,3,1,4,2,2]=>[5,1,3,3,4,1]
[3,3,2,1,2,4]=>[5,2,1,1,2,3]
[3,3,2,1,4,2]=>[5,2,1,1,2,4]
[3,3,2,2,1,4]=>[5,3,1,1,3,2]
[3,3,2,2,4,1]=>[5,4,1,1,4,2]
[3,3,2,4,1,2]=>[5,3,1,1,3,4]
[3,3,2,4,2,1]=>[5,4,1,1,4,3]
[3,3,4,1,2,2]=>[4,1,2,2,3,1]
[3,3,4,2,1,2]=>[4,2,1,1,3,2]
[3,3,4,2,2,1]=>[4,3,1,1,2,3]
[3,4,1,2,2,3]=>[5,1,2,3,1,2]
[3,4,1,2,3,2]=>[5,1,2,4,2,1]
[3,4,1,3,2,2]=>[5,1,3,4,3,1]
[3,4,2,1,2,3]=>[5,2,1,3,2,1]
[3,4,2,1,3,2]=>[5,2,1,4,1,2]
[3,4,2,2,1,3]=>[5,3,1,2,3,1]
[3,4,2,2,3,1]=>[5,4,1,2,4,1]
[3,4,2,3,1,2]=>[5,3,1,4,1,3]
[3,4,2,3,2,1]=>[5,4,1,3,1,4]
[3,4,3,1,2,2]=>[4,1,2,3,2,1]
[3,4,3,2,1,2]=>[4,2,1,3,1,2]
[3,4,3,2,2,1]=>[4,3,1,2,1,3]
[4,1,2,2,3,3]=>[6,1,3,1,2,2]
[4,1,2,3,2,3]=>[6,1,4,2,1,2]
[4,1,2,3,3,2]=>[6,1,5,2,2,1]
[4,1,3,2,2,3]=>[6,1,4,3,1,3]
[4,1,3,2,3,2]=>[6,1,5,3,3,1]
[4,1,3,3,2,2]=>[3,5,2,1,1,5]
[4,2,1,2,3,3]=>[6,2,3,2,1,1]
[4,2,1,3,2,3]=>[6,2,4,1,2,1]
[4,2,1,3,3,2]=>[6,2,5,1,1,2]
[4,2,2,1,3,3]=>[6,3,2,3,1,1]
[4,2,2,3,1,3]=>[6,4,2,4,1,1]
[4,2,2,3,3,1]=>[2,1,5,1,4,4]
[4,2,3,1,2,3]=>[6,3,4,1,3,1]
[4,2,3,1,3,2]=>[6,3,5,1,1,3]
[4,2,3,2,1,3]=>[6,4,3,1,4,1]
[4,2,3,2,3,1]=>[2,1,6,4,1,4]
[4,2,3,3,1,2]=>[3,1,2,5,5,1]
[4,2,3,3,2,1]=>[3,2,1,5,5,2]
[4,3,1,2,2,3]=>[5,1,3,2,1,2]
[4,3,1,2,3,2]=>[5,1,4,2,2,1]
[4,3,1,3,2,2]=>[5,1,4,3,3,1]
[4,3,2,1,2,3]=>[5,2,3,1,2,1]
[4,3,2,1,3,2]=>[5,2,4,1,1,2]
[4,3,2,2,1,3]=>[5,3,2,1,3,1]
[4,3,2,2,3,1]=>[5,4,2,1,4,1]
[4,3,2,3,1,2]=>[5,3,4,1,1,3]
[4,3,2,3,2,1]=>[5,4,3,1,1,4]
[4,3,3,1,2,2]=>[4,1,3,2,2,1]
[4,3,3,2,1,2]=>[4,2,3,1,1,2]
[4,3,3,2,2,1]=>[4,3,2,1,1,3]
[1,2,2,3,3,5]=>[1,2,2,3,3,5]
[1,2,2,3,5,3]=>[1,2,2,3,5,3]
[1,2,2,5,3,3]=>[1,2,2,3,6,3]
[1,2,3,2,3,5]=>[1,2,2,3,3,4]
[1,2,3,2,5,3]=>[1,2,2,3,4,3]
[1,2,3,3,2,5]=>[1,2,3,2,3,4]
[1,2,3,3,5,2]=>[1,2,3,4,3,2]
[1,2,3,5,2,3]=>[1,2,4,3,2,3]
[1,2,3,5,3,2]=>[1,2,4,3,3,2]
[1,2,5,2,3,3]=>[1,2,6,2,3,3]
[1,2,5,3,2,3]=>[1,2,5,3,2,3]
[1,2,5,3,3,2]=>[1,2,5,3,3,2]
[1,3,2,2,3,5]=>[1,2,2,4,4,3]
[1,3,2,2,5,3]=>[1,2,2,4,3,4]
[1,3,2,3,2,5]=>[1,2,4,2,4,3]
[1,3,2,3,5,2]=>[1,2,4,3,4,2]
[1,3,2,5,2,3]=>[1,2,3,4,2,4]
[1,3,2,5,3,2]=>[1,2,3,4,4,2]
[1,3,3,2,2,5]=>[1,2,5,2,5,3]
[1,3,3,2,5,2]=>[1,2,5,3,5,2]
[1,3,3,5,2,2]=>[3,4,1,5,1,4]
[1,3,5,2,2,3]=>[1,2,3,5,2,5]
[1,3,5,2,3,2]=>[1,2,3,5,5,2]
[1,3,5,3,2,2]=>[3,4,5,1,1,4]
[1,5,2,2,3,3]=>[1,2,6,2,4,4]
[1,5,2,3,2,3]=>[1,2,5,4,2,4]
[1,5,2,3,3,2]=>[1,2,5,4,4,2]
[1,5,3,2,2,3]=>[1,2,4,5,2,5]
[1,5,3,2,3,2]=>[1,2,4,5,5,2]
[1,5,3,3,2,2]=>[3,4,6,1,1,4]
[2,1,2,3,3,5]=>[1,3,3,2,2,5]
[2,1,2,3,5,3]=>[1,3,3,2,5,2]
[2,1,2,5,3,3]=>[1,3,3,2,6,2]
[2,1,3,2,3,5]=>[1,3,3,2,2,4]
[2,1,3,2,5,3]=>[1,3,3,2,4,2]
[2,1,3,3,2,5]=>[1,3,2,3,2,4]
[2,1,3,3,5,2]=>[1,3,2,4,2,3]
[2,1,3,5,2,3]=>[1,3,4,2,3,2]
[2,1,3,5,3,2]=>[1,3,4,2,2,3]
[2,1,5,2,3,3]=>[1,3,6,3,2,2]
[2,1,5,3,2,3]=>[1,3,5,2,3,2]
[2,1,5,3,3,2]=>[1,3,5,2,2,3]
[2,2,1,3,3,5]=>[1,4,4,2,2,5]
[2,2,1,3,5,3]=>[1,4,4,2,5,2]
[2,2,1,5,3,3]=>[1,4,4,2,6,2]
[2,2,3,1,3,5]=>[1,5,5,2,2,4]
[2,2,3,1,5,3]=>[1,5,5,2,4,2]
[2,2,3,3,1,5]=>[3,1,1,4,4,6]
[2,2,3,3,5,1]=>[2,1,1,3,5,3]
[2,2,3,5,1,3]=>[3,1,1,6,4,4]
[2,2,3,5,3,1]=>[2,1,1,5,3,3]
[2,2,5,1,3,3]=>[4,1,1,2,5,5]
[2,2,5,3,1,3]=>[4,2,2,1,5,5]
[2,2,5,3,3,1]=>[2,1,1,6,3,3]
[2,3,1,2,3,5]=>[1,4,4,2,2,3]
[2,3,1,2,5,3]=>[1,4,4,2,3,2]
[2,3,1,3,2,5]=>[1,4,2,4,2,3]
[2,3,1,3,5,2]=>[1,4,2,3,2,4]
[2,3,1,5,2,3]=>[1,4,3,2,4,2]
[2,3,1,5,3,2]=>[1,4,3,2,2,4]
[2,3,2,1,3,5]=>[1,5,5,2,2,3]
[2,3,2,1,5,3]=>[1,5,5,2,3,2]
[2,3,2,3,1,5]=>[3,1,1,4,4,5]
[2,3,2,3,5,1]=>[2,1,1,3,4,3]
[2,3,2,5,1,3]=>[3,1,1,5,4,4]
[2,3,2,5,3,1]=>[2,1,1,4,3,3]
[2,3,3,1,2,5]=>[1,5,2,5,2,3]
[2,3,3,1,5,2]=>[1,5,2,3,2,5]
[2,3,3,2,1,5]=>[3,1,4,1,4,5]
[2,3,3,2,5,1]=>[2,1,3,1,4,3]
[2,3,3,5,1,2]=>[3,1,4,5,4,1]
[2,3,3,5,2,1]=>[2,1,3,4,3,1]
[2,3,5,1,2,3]=>[1,5,3,2,5,2]
[2,3,5,1,3,2]=>[1,5,3,2,2,5]
[2,3,5,2,1,3]=>[3,1,5,4,1,4]
[2,3,5,2,3,1]=>[2,1,4,3,1,3]
[2,3,5,3,1,2]=>[3,1,5,4,4,1]
[2,3,5,3,2,1]=>[2,1,4,3,3,1]
[2,5,1,2,3,3]=>[1,4,6,4,2,2]
[2,5,1,3,2,3]=>[1,4,5,2,4,2]
[2,5,1,3,3,2]=>[1,4,5,2,2,4]
[2,5,2,1,3,3]=>[4,1,2,1,5,5]
[2,5,2,3,1,3]=>[4,2,1,2,5,5]
[2,5,2,3,3,1]=>[2,1,6,1,3,3]
[2,5,3,1,2,3]=>[1,5,4,2,5,2]
[2,5,3,1,3,2]=>[1,5,4,2,2,5]
[2,5,3,2,1,3]=>[3,1,6,4,1,4]
[2,5,3,2,3,1]=>[2,1,5,3,1,3]
[2,5,3,3,1,2]=>[3,1,6,4,4,1]
[2,5,3,3,2,1]=>[2,1,5,3,3,1]
[3,1,2,2,3,5]=>[1,3,3,4,4,2]
[3,1,2,2,5,3]=>[1,3,3,4,2,4]
[3,1,2,3,2,5]=>[1,3,4,3,4,2]
[3,1,2,3,5,2]=>[1,3,4,2,4,3]
[3,1,2,5,2,3]=>[1,3,2,4,3,4]
[3,1,2,5,3,2]=>[1,3,2,4,4,3]
[3,1,3,2,2,5]=>[1,3,5,3,5,2]
[3,1,3,2,5,2]=>[1,3,5,2,5,3]
[3,1,3,5,2,2]=>[3,5,1,4,1,5]
[3,1,5,2,2,3]=>[1,3,2,5,3,5]
[3,1,5,2,3,2]=>[1,3,2,5,5,3]
[3,1,5,3,2,2]=>[3,5,4,1,1,5]
[3,2,1,2,3,5]=>[1,4,4,3,3,2]
[3,2,1,2,5,3]=>[1,4,4,3,2,3]
[3,2,1,3,2,5]=>[1,4,3,4,3,2]
[3,2,1,3,5,2]=>[1,4,3,2,3,4]
[3,2,1,5,2,3]=>[1,4,2,3,4,3]
[3,2,1,5,3,2]=>[1,4,2,3,3,4]
[3,2,2,1,3,5]=>[1,5,5,3,3,2]
[3,2,2,1,5,3]=>[1,5,5,3,2,3]
[3,2,2,3,1,5]=>[3,1,1,5,5,4]
[3,2,2,3,5,1]=>[2,1,1,4,3,4]
[3,2,2,5,1,3]=>[3,1,1,4,5,5]
[3,2,2,5,3,1]=>[2,1,1,3,4,4]
[3,2,3,1,2,5]=>[1,5,3,5,3,2]
[3,2,3,1,5,2]=>[1,5,3,2,3,5]
[3,2,3,2,1,5]=>[3,1,5,1,5,4]
[3,2,3,2,5,1]=>[2,1,4,1,3,4]
[3,2,3,5,1,2]=>[3,1,5,4,5,1]
[3,2,3,5,2,1]=>[2,1,4,3,4,1]
[3,2,5,1,2,3]=>[1,5,2,3,5,3]
[3,2,5,1,3,2]=>[1,5,2,3,3,5]
[3,2,5,2,1,3]=>[3,1,4,5,1,5]
[3,2,5,2,3,1]=>[2,1,3,4,1,4]
[3,2,5,3,1,2]=>[3,1,4,5,5,1]
[3,2,5,3,2,1]=>[2,1,3,4,4,1]
[3,3,1,2,2,5]=>[5,1,2,1,2,6]
[3,3,1,2,5,2]=>[5,1,2,6,2,1]
[3,3,1,5,2,2]=>[5,1,3,6,3,1]
[3,3,2,1,2,5]=>[5,2,1,2,1,6]
[3,3,2,1,5,2]=>[5,2,1,6,1,2]
[3,3,2,2,1,5]=>[5,3,1,3,1,6]
[3,3,2,2,5,1]=>[2,1,5,1,3,5]
[3,3,2,5,1,2]=>[5,3,1,6,1,3]
[3,3,2,5,2,1]=>[2,1,5,3,5,1]
[3,3,5,1,2,2]=>[4,1,2,5,2,1]
[3,3,5,2,1,2]=>[4,2,1,5,1,2]
[3,3,5,2,2,1]=>[4,3,1,5,1,3]
[3,5,1,2,2,3]=>[5,1,6,2,1,2]
[3,5,1,2,3,2]=>[5,1,6,2,2,1]
[3,5,1,3,2,2]=>[5,1,6,3,3,1]
[3,5,2,1,2,3]=>[5,2,6,1,2,1]
[3,5,2,1,3,2]=>[5,2,6,1,1,2]
[3,5,2,2,1,3]=>[5,3,6,1,3,1]
[3,5,2,2,3,1]=>[2,1,3,5,1,5]
[3,5,2,3,1,2]=>[5,3,6,1,1,3]
[3,5,2,3,2,1]=>[2,1,3,5,5,1]
[3,5,3,1,2,2]=>[4,1,5,2,2,1]
[3,5,3,2,1,2]=>[4,2,5,1,1,2]
[3,5,3,2,2,1]=>[4,3,5,1,1,3]
[5,1,2,2,3,3]=>[6,1,4,1,2,2]
[5,1,2,3,2,3]=>[6,1,3,2,1,2]
[5,1,2,3,3,2]=>[6,1,3,2,2,1]
[5,1,3,2,2,3]=>[6,1,2,3,1,3]
[5,1,3,2,3,2]=>[6,1,2,3,3,1]
[5,1,3,3,2,2]=>[6,1,2,4,4,1]
[5,2,1,2,3,3]=>[6,2,4,2,1,1]
[5,2,1,3,2,3]=>[6,2,3,1,2,1]
[5,2,1,3,3,2]=>[6,2,3,1,1,2]
[5,2,2,1,3,3]=>[6,3,4,3,1,1]
[5,2,2,3,1,3]=>[6,4,3,4,1,1]
[5,2,2,3,3,1]=>[2,1,6,1,4,4]
[5,2,3,1,2,3]=>[6,3,2,1,3,1]
[5,2,3,1,3,2]=>[6,3,2,1,1,3]
[5,2,3,2,1,3]=>[6,4,2,1,4,1]
[5,2,3,2,3,1]=>[2,1,5,4,1,4]
[5,2,3,3,1,2]=>[6,4,2,1,1,4]
[5,2,3,3,2,1]=>[2,1,5,4,4,1]
[5,3,1,2,2,3]=>[6,2,1,3,2,3]
[5,3,1,2,3,2]=>[6,2,1,3,3,2]
[5,3,1,3,2,2]=>[6,2,1,4,4,2]
[5,3,2,1,2,3]=>[6,3,1,2,3,2]
[5,3,2,1,3,2]=>[6,3,1,2,2,3]
[5,3,2,2,1,3]=>[6,4,1,2,4,2]
[5,3,2,2,3,1]=>[2,1,4,5,1,5]
[5,3,2,3,1,2]=>[6,4,1,2,2,4]
[5,3,2,3,2,1]=>[2,1,4,5,5,1]
[5,3,3,1,2,2]=>[4,1,6,2,2,1]
[5,3,3,2,1,2]=>[4,2,6,1,1,2]
[5,3,3,2,2,1]=>[4,3,6,1,1,3]
[1,2,2,3,3,6]=>[1,2,2,3,3,6]
[1,2,2,3,6,3]=>[2,3,3,4,4,1]
[1,2,2,6,3,3]=>[2,3,3,4,1,4]
[1,2,3,2,3,6]=>[1,2,3,2,3,6]
[1,2,3,2,6,3]=>[2,3,4,3,4,1]
[1,2,3,3,2,6]=>[1,2,3,2,3,5]
[1,2,3,3,6,2]=>[1,2,3,5,3,2]
[1,2,3,6,2,3]=>[2,3,4,1,3,4]
[1,2,3,6,3,2]=>[1,2,3,6,3,2]
[1,2,6,2,3,3]=>[2,3,1,3,4,4]
[1,2,6,3,2,3]=>[2,3,1,4,3,4]
[1,2,6,3,3,2]=>[1,2,6,3,3,2]
[1,3,2,2,3,6]=>[1,2,4,2,4,6]
[1,3,2,2,6,3]=>[2,3,5,3,5,1]
[1,3,2,3,2,6]=>[1,2,4,2,4,5]
[1,3,2,3,6,2]=>[1,2,4,5,4,2]
[1,3,2,6,2,3]=>[2,3,5,1,3,5]
[1,3,2,6,3,2]=>[1,2,4,6,4,2]
[1,3,3,2,2,6]=>[1,2,5,2,5,4]
[1,3,3,2,6,2]=>[1,2,5,4,5,2]
[1,3,3,6,2,2]=>[3,4,1,6,1,4]
[1,3,6,2,2,3]=>[4,5,1,3,5,1]
[1,3,6,2,3,2]=>[4,5,1,2,1,5]
[1,3,6,3,2,2]=>[4,5,2,1,2,5]
[1,6,2,2,3,3]=>[2,3,1,3,5,5]
[1,6,2,3,2,3]=>[2,3,1,5,3,5]
[1,6,2,3,3,2]=>[1,2,6,4,4,2]
[1,6,3,2,2,3]=>[4,5,3,1,5,1]
[1,6,3,2,3,2]=>[4,5,2,1,1,5]
[1,6,3,3,2,2]=>[4,5,1,2,2,5]
[2,1,2,3,3,6]=>[1,3,3,2,2,6]
[2,1,2,3,6,3]=>[2,4,4,3,3,1]
[2,1,2,6,3,3]=>[2,4,4,3,1,3]
[2,1,3,2,3,6]=>[1,3,2,3,2,6]
[2,1,3,2,6,3]=>[2,4,3,4,3,1]
[2,1,3,3,2,6]=>[1,3,2,3,2,5]
[2,1,3,3,6,2]=>[1,3,2,5,2,3]
[2,1,3,6,2,3]=>[2,4,3,1,4,3]
[2,1,3,6,3,2]=>[1,3,2,6,2,3]
[2,1,6,2,3,3]=>[2,4,1,4,3,3]
[2,1,6,3,2,3]=>[2,4,1,3,4,3]
[2,1,6,3,3,2]=>[1,3,6,2,2,3]
[2,2,1,3,3,6]=>[1,4,4,2,2,6]
[2,2,1,3,6,3]=>[2,5,5,3,3,1]
[2,2,1,6,3,3]=>[2,5,5,3,1,3]
[2,2,3,1,3,6]=>[4,1,1,5,5,2]
[2,2,3,1,6,3]=>[4,1,1,5,5,3]
[2,2,3,3,1,6]=>[4,2,2,5,5,1]
[2,2,3,3,6,1]=>[2,1,1,3,6,3]
[2,2,3,6,1,3]=>[3,1,1,4,2,4]
[2,2,3,6,3,1]=>[3,2,2,4,1,4]
[2,2,6,1,3,3]=>[4,1,1,3,5,5]
[2,2,6,3,1,3]=>[3,1,1,2,4,4]
[2,2,6,3,3,1]=>[3,2,2,1,4,4]
[2,3,1,2,3,6]=>[1,4,2,4,2,6]
[2,3,1,2,6,3]=>[2,5,3,5,3,1]
[2,3,1,3,2,6]=>[1,4,2,4,2,5]
[2,3,1,3,6,2]=>[1,4,2,5,2,4]
[2,3,1,6,2,3]=>[2,5,3,1,5,3]
[2,3,1,6,3,2]=>[1,4,2,6,2,4]
[2,3,2,1,3,6]=>[4,1,5,1,5,2]
[2,3,2,1,6,3]=>[4,1,5,1,5,3]
[2,3,2,3,1,6]=>[4,2,5,2,5,1]
[2,3,2,3,6,1]=>[2,1,3,1,6,3]
[2,3,2,6,1,3]=>[3,1,4,1,2,4]
[2,3,2,6,3,1]=>[3,2,4,2,1,4]
[2,3,3,1,2,6]=>[1,5,2,5,2,4]
[2,3,3,1,6,2]=>[1,5,2,4,2,5]
[2,3,3,2,1,6]=>[3,1,4,1,4,6]
[2,3,3,2,6,1]=>[2,1,3,1,5,3]
[2,3,3,6,1,2]=>[3,1,4,6,4,1]
[2,3,3,6,2,1]=>[2,1,3,5,3,1]
[2,3,6,1,2,3]=>[4,1,5,3,1,5]
[2,3,6,1,3,2]=>[4,1,5,2,5,1]
[2,3,6,2,1,3]=>[3,1,4,2,1,4]
[2,3,6,2,3,1]=>[3,2,4,1,2,4]
[2,3,6,3,1,2]=>[4,2,5,1,5,2]
[2,3,6,3,2,1]=>[2,1,3,6,3,1]
[2,6,1,2,3,3]=>[2,5,1,5,3,3]
[2,6,1,3,2,3]=>[2,5,1,3,5,3]
[2,6,1,3,3,2]=>[1,4,6,2,2,4]
[2,6,2,1,3,3]=>[4,1,3,1,5,5]
[2,6,2,3,1,3]=>[3,1,2,1,4,4]
[2,6,2,3,3,1]=>[3,2,1,2,4,4]
[2,6,3,1,2,3]=>[4,1,3,5,1,5]
[2,6,3,1,3,2]=>[4,1,2,5,5,1]
[2,6,3,2,1,3]=>[3,1,2,4,1,4]
[2,6,3,2,3,1]=>[3,2,1,4,2,4]
[2,6,3,3,1,2]=>[4,2,1,5,5,2]
[2,6,3,3,2,1]=>[2,1,6,3,3,1]
[3,1,2,2,3,6]=>[6,1,2,1,2,4]
[3,1,2,2,6,3]=>[6,1,2,1,2,5]
[3,1,2,3,2,6]=>[6,1,2,1,2,3]
[3,1,2,3,6,2]=>[6,1,2,3,2,1]
[3,1,2,6,2,3]=>[6,1,2,5,1,2]
[3,1,2,6,3,2]=>[6,1,2,4,2,1]
[3,1,3,2,2,6]=>[6,1,3,1,3,2]
[3,1,3,2,6,2]=>[6,1,3,2,3,1]
[3,1,3,6,2,2]=>[6,1,4,2,4,1]
[3,1,6,2,2,3]=>[6,1,3,5,1,3]
[3,1,6,2,3,2]=>[6,1,3,4,3,1]
[3,1,6,3,2,2]=>[6,1,4,3,4,1]
[3,2,1,2,3,6]=>[6,2,1,2,1,4]
[3,2,1,2,6,3]=>[6,2,1,2,1,5]
[3,2,1,3,2,6]=>[6,2,1,2,1,3]
[3,2,1,3,6,2]=>[6,2,1,3,1,2]
[3,2,1,6,2,3]=>[6,2,1,5,2,1]
[3,2,1,6,3,2]=>[6,2,1,4,1,2]
[3,2,2,1,3,6]=>[6,3,1,3,1,4]
[3,2,2,1,6,3]=>[6,3,1,3,1,5]
[3,2,2,3,1,6]=>[6,4,1,4,1,3]
[3,2,2,3,6,1]=>[2,1,4,1,6,4]
[3,2,2,6,1,3]=>[3,1,5,1,2,5]
[3,2,2,6,3,1]=>[3,2,5,2,1,5]
[3,2,3,1,2,6]=>[6,3,1,3,1,2]
[3,2,3,1,6,2]=>[6,3,1,2,1,3]
[3,2,3,2,1,6]=>[6,4,1,4,1,2]
[3,2,3,2,6,1]=>[2,1,4,1,5,4]
[3,2,3,6,1,2]=>[6,4,1,2,1,4]
[3,2,3,6,2,1]=>[2,1,4,5,4,1]
[3,2,6,1,2,3]=>[6,3,1,5,3,1]
[3,2,6,1,3,2]=>[6,3,1,4,1,3]
[3,2,6,2,1,3]=>[3,1,5,2,1,5]
[3,2,6,2,3,1]=>[3,2,5,1,2,5]
[3,2,6,3,1,2]=>[6,4,1,3,1,4]
[3,2,6,3,2,1]=>[2,1,4,6,4,1]
[3,3,1,2,2,6]=>[6,2,3,2,3,1]
[3,3,1,2,6,2]=>[6,2,3,1,3,2]
[3,3,1,6,2,2]=>[6,2,4,1,4,2]
[3,3,2,1,2,6]=>[6,3,2,3,2,1]
[3,3,2,1,6,2]=>[6,3,2,1,2,3]
[3,3,2,2,1,6]=>[6,4,2,4,2,1]
[3,3,2,2,6,1]=>[2,1,5,1,4,5]
[3,3,2,6,1,2]=>[6,4,2,1,2,4]
[3,3,2,6,2,1]=>[2,1,5,4,5,1]
[3,3,6,1,2,2]=>[4,1,2,6,2,1]
[3,3,6,2,1,2]=>[4,2,1,6,1,2]
[3,3,6,2,2,1]=>[4,3,1,6,1,3]
[3,6,1,2,2,3]=>[5,1,2,4,1,2]
[3,6,1,2,3,2]=>[5,1,2,3,2,1]
[3,6,1,3,2,2]=>[5,1,3,2,3,1]
[3,6,2,1,2,3]=>[5,2,1,4,2,1]
[3,6,2,1,3,2]=>[5,2,1,3,1,2]
[3,6,2,2,1,3]=>[5,3,1,4,3,1]
[3,6,2,2,3,1]=>[5,4,1,3,4,1]
[3,6,2,3,1,2]=>[5,3,1,2,1,3]
[3,6,2,3,2,1]=>[5,4,1,2,1,4]
[3,6,3,1,2,2]=>[5,2,3,1,3,2]
[3,6,3,2,1,2]=>[5,3,2,1,2,3]
[3,6,3,2,2,1]=>[5,4,2,1,2,4]
[6,1,2,2,3,3]=>[6,1,5,1,2,2]
[6,1,2,3,2,3]=>[6,1,5,2,1,2]
[6,1,2,3,3,2]=>[6,1,4,2,2,1]
[6,1,3,2,2,3]=>[6,1,5,3,1,3]
[6,1,3,2,3,2]=>[6,1,4,3,3,1]
[6,1,3,3,2,2]=>[6,1,3,4,4,1]
[6,2,1,2,3,3]=>[6,2,5,2,1,1]
[6,2,1,3,2,3]=>[6,2,5,1,2,1]
[6,2,1,3,3,2]=>[6,2,4,1,1,2]
[6,2,2,1,3,3]=>[6,3,5,3,1,1]
[6,2,2,3,1,3]=>[3,1,2,1,5,5]
[6,2,2,3,3,1]=>[3,2,1,2,5,5]
[6,2,3,1,2,3]=>[6,3,5,1,3,1]
[6,2,3,1,3,2]=>[6,3,4,1,1,3]
[6,2,3,2,1,3]=>[3,1,2,5,1,5]
[6,2,3,2,3,1]=>[3,2,1,5,2,5]
[6,2,3,3,1,2]=>[6,4,3,1,1,4]
[6,2,3,3,2,1]=>[2,1,6,4,4,1]
[6,3,1,2,2,3]=>[5,1,4,2,1,2]
[6,3,1,2,3,2]=>[5,1,3,2,2,1]
[6,3,1,3,2,2]=>[5,1,2,3,3,1]
[6,3,2,1,2,3]=>[5,2,4,1,2,1]
[6,3,2,1,3,2]=>[5,2,3,1,1,2]
[6,3,2,2,1,3]=>[5,3,4,1,3,1]
[6,3,2,2,3,1]=>[5,4,3,1,4,1]
[6,3,2,3,1,2]=>[5,3,2,1,1,3]
[6,3,2,3,2,1]=>[5,4,2,1,1,4]
[6,3,3,1,2,2]=>[5,2,1,3,3,2]
[6,3,3,2,1,2]=>[5,3,1,2,2,3]
[6,3,3,2,2,1]=>[5,4,1,2,2,4]
[1,2,2,3,4,4]=>[1,2,3,2,4,4]
[1,2,2,4,3,4]=>[1,2,4,3,2,4]
[1,2,2,4,4,3]=>[1,2,4,4,2,3]
[1,2,3,2,4,4]=>[1,2,3,2,5,5]
[1,2,3,4,2,4]=>[3,4,5,4,1,1]
[1,2,3,4,4,2]=>[2,3,4,3,1,1]
[1,2,4,2,3,4]=>[1,2,5,3,2,5]
[1,2,4,2,4,3]=>[1,2,5,5,2,3]
[1,2,4,3,2,4]=>[3,4,1,5,4,1]
[1,2,4,3,4,2]=>[2,3,1,4,3,1]
[1,2,4,4,2,3]=>[3,4,1,1,4,5]
[1,2,4,4,3,2]=>[2,3,1,1,4,3]
[1,3,2,2,4,4]=>[1,2,4,2,5,5]
[1,3,2,4,2,4]=>[3,4,6,4,1,1]
[1,3,2,4,4,2]=>[2,3,5,3,1,1]
[1,3,4,2,2,4]=>[4,5,1,2,5,2]
[1,3,4,2,4,2]=>[2,3,6,1,3,1]
[1,3,4,4,2,2]=>[3,4,1,2,2,4]
[1,4,2,2,3,4]=>[1,2,5,4,2,5]
[1,4,2,2,4,3]=>[1,2,5,5,2,4]
[1,4,2,3,2,4]=>[3,4,1,6,4,1]
[1,4,2,3,4,2]=>[2,3,1,5,3,1]
[1,4,2,4,2,3]=>[3,4,1,1,4,6]
[1,4,2,4,3,2]=>[2,3,1,1,5,3]
[1,4,3,2,2,4]=>[4,5,2,1,5,2]
[1,4,3,2,4,2]=>[2,3,1,6,3,1]
[1,4,3,4,2,2]=>[3,4,2,1,2,4]
[1,4,4,2,2,3]=>[4,5,2,2,5,1]
[1,4,4,2,3,2]=>[2,3,1,1,6,3]
[1,4,4,3,2,2]=>[3,4,2,2,1,4]
[2,1,2,3,4,4]=>[1,3,2,3,4,4]
[2,1,2,4,3,4]=>[1,3,4,2,3,4]
[2,1,2,4,4,3]=>[1,3,4,4,3,2]
[2,1,3,2,4,4]=>[1,3,2,3,5,5]
[2,1,3,4,2,4]=>[3,5,4,5,1,1]
[2,1,3,4,4,2]=>[2,4,3,4,1,1]
[2,1,4,2,3,4]=>[1,3,5,2,3,5]
[2,1,4,2,4,3]=>[1,3,5,5,3,2]
[2,1,4,3,2,4]=>[3,5,1,4,5,1]
[2,1,4,3,4,2]=>[2,4,1,3,4,1]
[2,1,4,4,2,3]=>[3,5,1,1,5,4]
[2,1,4,4,3,2]=>[2,4,1,1,3,4]
[2,2,1,3,4,4]=>[1,4,2,4,3,3]
[2,2,1,4,3,4]=>[1,4,3,2,4,3]
[2,2,1,4,4,3]=>[1,4,3,3,4,2]
[2,2,3,1,4,4]=>[1,5,2,5,3,3]
[2,2,3,4,1,4]=>[3,1,4,1,5,5]
[2,2,3,4,4,1]=>[2,1,3,1,4,4]
[2,2,4,1,3,4]=>[1,5,3,2,5,3]
[2,2,4,1,4,3]=>[1,5,3,3,5,2]
[2,2,4,3,1,4]=>[3,1,5,4,1,5]
[2,2,4,3,4,1]=>[2,1,4,3,1,4]
[2,2,4,4,1,3]=>[3,1,5,5,1,4]
[2,2,4,4,3,1]=>[2,1,4,4,1,3]
[2,3,1,2,4,4]=>[5,1,6,1,2,2]
[2,3,1,4,2,4]=>[5,1,6,1,3,3]
[2,3,1,4,4,2]=>[2,5,3,5,1,1]
[2,3,2,1,4,4]=>[5,2,6,2,1,1]
[2,3,2,4,1,4]=>[5,3,6,3,1,1]
[2,3,2,4,4,1]=>[2,1,3,1,5,5]
[2,3,4,1,2,4]=>[4,1,5,1,2,2]
[2,3,4,1,4,2]=>[4,1,5,1,3,3]
[2,3,4,2,1,4]=>[4,2,5,2,1,1]
[2,3,4,2,4,1]=>[4,3,5,3,1,1]
[2,3,4,4,1,2]=>[3,1,4,1,2,2]
[2,3,4,4,2,1]=>[3,2,4,2,1,1]
[2,4,1,2,3,4]=>[5,1,2,6,1,2]
[2,4,1,2,4,3]=>[5,1,2,2,1,6]
[2,4,1,3,2,4]=>[5,1,3,6,1,3]
[2,4,1,3,4,2]=>[2,5,1,3,5,1]
[2,4,1,4,2,3]=>[5,1,3,3,1,6]
[2,4,1,4,3,2]=>[2,5,1,1,3,5]
[2,4,2,1,3,4]=>[5,2,1,6,2,1]
[2,4,2,1,4,3]=>[5,2,1,1,2,6]
[2,4,2,3,1,4]=>[5,3,1,6,3,1]
[2,4,2,3,4,1]=>[2,1,5,3,1,5]
[2,4,2,4,1,3]=>[5,3,1,1,3,6]
[2,4,2,4,3,1]=>[2,1,5,5,1,3]
[2,4,3,1,2,4]=>[4,1,2,5,1,2]
[2,4,3,1,4,2]=>[4,1,3,5,1,3]
[2,4,3,2,1,4]=>[4,2,1,5,2,1]
[2,4,3,2,4,1]=>[4,3,1,5,3,1]
[2,4,3,4,1,2]=>[3,1,2,4,1,2]
[2,4,3,4,2,1]=>[3,2,1,4,2,1]
[2,4,4,1,2,3]=>[4,1,2,2,1,5]
[2,4,4,1,3,2]=>[4,1,3,3,5,1]
[2,4,4,2,1,3]=>[4,2,1,1,2,5]
[2,4,4,2,3,1]=>[4,3,1,1,3,5]
[2,4,4,3,1,2]=>[3,1,2,2,4,1]
[2,4,4,3,2,1]=>[3,2,1,1,4,2]
[3,1,2,2,4,4]=>[6,1,2,1,3,3]
[3,1,2,4,2,4]=>[6,1,2,1,4,4]
[3,1,2,4,4,2]=>[2,4,5,4,1,1]
[3,1,4,2,2,4]=>[6,1,3,4,1,4]
[3,1,4,2,4,2]=>[2,4,6,1,4,1]
[3,1,4,4,2,2]=>[3,5,1,2,2,5]
[3,2,1,2,4,4]=>[6,2,1,2,3,3]
[3,2,1,4,2,4]=>[6,2,1,2,4,4]
[3,2,1,4,4,2]=>[2,5,4,5,1,1]
[3,2,2,1,4,4]=>[6,3,1,3,2,2]
[3,2,2,4,1,4]=>[6,4,1,4,2,2]
[3,2,2,4,4,1]=>[2,1,4,1,5,5]
[3,2,4,1,2,4]=>[4,1,6,1,2,2]
[3,2,4,1,4,2]=>[4,1,6,1,3,3]
[3,2,4,2,1,4]=>[4,2,6,2,1,1]
[3,2,4,2,4,1]=>[4,3,6,3,1,1]
[3,2,4,4,1,2]=>[3,1,5,1,2,2]
[3,2,4,4,2,1]=>[3,2,5,2,1,1]
[3,4,1,2,2,4]=>[5,1,2,3,1,3]
[3,4,1,2,4,2]=>[5,1,2,4,1,4]
[3,4,1,4,2,2]=>[5,1,3,4,4,1]
[3,4,2,1,2,4]=>[5,2,1,3,2,3]
[3,4,2,1,4,2]=>[5,2,1,4,2,4]
[3,4,2,2,1,4]=>[5,3,1,2,3,2]
[3,4,2,2,4,1]=>[5,4,1,2,4,2]
[3,4,2,4,1,2]=>[3,1,6,2,1,2]
[3,4,2,4,2,1]=>[3,2,6,1,2,1]
[3,4,4,1,2,2]=>[4,1,2,3,3,1]
[3,4,4,2,1,2]=>[4,2,1,3,3,2]
[3,4,4,2,2,1]=>[4,3,1,2,2,3]
[4,1,2,2,3,4]=>[6,1,3,2,1,3]
[4,1,2,2,4,3]=>[6,1,3,3,1,2]
[4,1,2,3,2,4]=>[6,1,4,2,1,4]
[4,1,2,3,4,2]=>[2,4,1,5,4,1]
[4,1,2,4,2,3]=>[6,1,4,4,1,2]
[4,1,2,4,3,2]=>[2,4,1,1,5,4]
[4,1,3,2,2,4]=>[6,1,4,3,1,4]
[4,1,3,2,4,2]=>[2,4,1,6,4,1]
[4,1,3,4,2,2]=>[3,5,2,1,2,5]
[4,1,4,2,2,3]=>[6,1,4,4,1,3]
[4,1,4,2,3,2]=>[2,4,1,1,6,4]
[4,1,4,3,2,2]=>[3,5,2,2,1,5]
[4,2,1,2,3,4]=>[6,2,3,1,2,3]
[4,2,1,2,4,3]=>[6,2,3,3,2,1]
[4,2,1,3,2,4]=>[6,2,4,1,2,4]
[4,2,1,3,4,2]=>[2,5,1,4,5,1]
[4,2,1,4,2,3]=>[6,2,4,4,2,1]
[4,2,1,4,3,2]=>[2,5,1,1,4,5]
[4,2,2,1,3,4]=>[6,3,2,1,3,2]
[4,2,2,1,4,3]=>[6,3,2,2,3,1]
[4,2,2,3,1,4]=>[6,4,2,1,4,2]
[4,2,2,3,4,1]=>[2,1,5,4,1,5]
[4,2,2,4,1,3]=>[6,4,2,2,4,1]
[4,2,2,4,3,1]=>[2,1,5,5,1,4]
[4,2,3,1,2,4]=>[4,1,2,6,1,2]
[4,2,3,1,4,2]=>[4,1,3,6,1,3]
[4,2,3,2,1,4]=>[4,2,1,6,2,1]
[4,2,3,2,4,1]=>[4,3,1,6,3,1]
[4,2,3,4,1,2]=>[3,1,2,5,1,2]
[4,2,3,4,2,1]=>[3,2,1,5,2,1]
[4,2,4,1,2,3]=>[4,1,2,2,1,6]
[4,2,4,1,3,2]=>[4,1,3,3,6,1]
[4,2,4,2,1,3]=>[4,2,1,1,2,6]
[4,2,4,2,3,1]=>[4,3,1,1,3,6]
[4,2,4,3,1,2]=>[3,1,2,2,5,1]
[4,2,4,3,2,1]=>[3,2,1,1,5,2]
[4,3,1,2,2,4]=>[5,1,3,2,1,3]
[4,3,1,2,4,2]=>[5,1,4,2,1,4]
[4,3,1,4,2,2]=>[5,1,4,3,4,1]
[4,3,2,1,2,4]=>[5,2,3,1,2,3]
[4,3,2,1,4,2]=>[5,2,4,1,2,4]
[4,3,2,2,1,4]=>[5,3,2,1,3,2]
[4,3,2,2,4,1]=>[5,4,2,1,4,2]
[4,3,2,4,1,2]=>[3,1,2,6,1,2]
[4,3,2,4,2,1]=>[3,2,1,6,2,1]
[4,3,4,1,2,2]=>[4,1,3,2,3,1]
[4,3,4,2,1,2]=>[4,2,3,1,3,2]
[4,3,4,2,2,1]=>[4,3,2,1,2,3]
[4,4,1,2,2,3]=>[5,1,3,3,1,2]
[4,4,1,2,3,2]=>[5,1,4,4,2,1]
[4,4,1,3,2,2]=>[5,1,4,4,3,1]
[4,4,2,1,2,3]=>[5,2,3,3,2,1]
[4,4,2,1,3,2]=>[5,2,4,4,1,2]
[4,4,2,2,1,3]=>[5,3,2,2,3,1]
[4,4,2,2,3,1]=>[5,4,2,2,4,1]
[4,4,2,3,1,2]=>[3,1,2,2,6,1]
[4,4,2,3,2,1]=>[3,2,1,1,6,2]
[4,4,3,1,2,2]=>[4,1,3,3,2,1]
[4,4,3,2,1,2]=>[4,2,3,3,1,2]
[4,4,3,2,2,1]=>[4,3,2,2,1,3]
[1,2,2,3,4,5]=>[1,2,4,2,3,5]
[1,2,2,3,5,4]=>[1,2,5,3,2,4]
[1,2,2,4,3,5]=>[1,2,4,2,3,6]
[1,2,2,4,5,3]=>[2,3,5,3,4,1]
[1,2,2,5,3,4]=>[1,2,6,3,2,4]
[1,2,2,5,4,3]=>[2,3,1,5,3,4]
[1,2,3,2,4,5]=>[1,2,5,2,3,4]
[1,2,3,2,5,4]=>[1,2,4,3,2,5]
[1,2,3,4,2,5]=>[1,2,6,2,3,4]
[1,2,3,4,5,2]=>[2,3,1,5,4,3]
[1,2,3,5,2,4]=>[1,2,4,3,2,6]
[1,2,3,5,4,2]=>[2,3,5,4,3,1]
[1,2,4,2,3,5]=>[1,2,5,2,3,6]
[1,2,4,2,5,3]=>[2,3,6,3,4,1]
[1,2,4,3,2,5]=>[1,2,6,2,3,5]
[1,2,4,3,5,2]=>[2,3,1,6,4,3]
[1,2,4,5,2,3]=>[3,4,1,2,4,5]
[1,2,4,5,3,2]=>[3,4,2,1,5,4]
[1,2,5,2,3,4]=>[1,2,6,3,2,5]
[1,2,5,2,4,3]=>[2,3,1,6,3,4]
[1,2,5,3,2,4]=>[1,2,5,3,2,6]
[1,2,5,3,4,2]=>[2,3,6,4,3,1]
[1,2,5,4,2,3]=>[3,4,2,1,4,5]
[1,2,5,4,3,2]=>[3,4,1,2,5,4]
[1,3,2,2,4,5]=>[1,2,5,2,4,3]
[1,3,2,2,5,4]=>[1,2,3,4,2,5]
[1,3,2,4,2,5]=>[1,2,6,2,4,3]
[1,3,2,4,5,2]=>[2,3,1,4,5,3]
[1,3,2,5,2,4]=>[1,2,3,4,2,6]
[1,3,2,5,4,2]=>[2,3,4,5,3,1]
[1,3,4,2,2,5]=>[1,2,6,2,5,3]
[1,3,4,2,5,2]=>[2,3,1,4,6,3]
[1,3,4,5,2,2]=>[3,4,2,5,1,4]
[1,3,5,2,2,4]=>[1,2,3,5,2,6]
[1,3,5,2,4,2]=>[2,3,4,6,3,1]
[1,3,5,4,2,2]=>[3,4,5,1,2,4]
[1,4,2,2,3,5]=>[1,2,5,2,4,6]
[1,4,2,2,5,3]=>[2,3,6,3,5,1]
[1,4,2,3,2,5]=>[1,2,6,2,4,5]
[1,4,2,3,5,2]=>[2,3,1,6,5,3]
[1,4,2,5,2,3]=>[3,4,1,2,4,6]
[1,4,2,5,3,2]=>[3,4,2,1,6,4]
[1,4,3,2,2,5]=>[1,2,6,2,5,4]
[1,4,3,2,5,2]=>[2,3,1,5,6,3]
[1,4,3,5,2,2]=>[3,4,2,6,1,4]
[1,4,5,2,2,3]=>[4,5,2,3,5,1]
[1,4,5,2,3,2]=>[4,5,3,2,1,5]
[1,4,5,3,2,2]=>[4,5,3,1,2,5]
[1,5,2,2,3,4]=>[1,2,6,4,2,5]
[1,5,2,2,4,3]=>[2,3,1,6,3,5]
[1,5,2,3,2,4]=>[1,2,5,4,2,6]
[1,5,2,3,4,2]=>[2,3,6,5,3,1]
[1,5,2,4,2,3]=>[3,4,2,1,4,6]
[1,5,2,4,3,2]=>[3,4,1,2,6,4]
[1,5,3,2,2,4]=>[1,2,4,5,2,6]
[1,5,3,2,4,2]=>[2,3,5,6,3,1]
[1,5,3,4,2,2]=>[3,4,6,1,2,4]
[1,5,4,2,2,3]=>[4,5,3,2,5,1]
[1,5,4,2,3,2]=>[4,5,2,3,1,5]
[1,5,4,3,2,2]=>[4,5,1,3,2,5]
[2,1,2,3,4,5]=>[1,3,4,3,2,5]
[2,1,2,3,5,4]=>[1,3,5,2,3,4]
[2,1,2,4,3,5]=>[1,3,4,3,2,6]
[2,1,2,4,5,3]=>[2,4,5,4,3,1]
[2,1,2,5,3,4]=>[1,3,6,2,3,4]
[2,1,2,5,4,3]=>[2,4,1,5,4,3]
[2,1,3,2,4,5]=>[1,3,5,3,2,4]
[2,1,3,2,5,4]=>[1,3,4,2,3,5]
[2,1,3,4,2,5]=>[1,3,6,3,2,4]
[2,1,3,4,5,2]=>[2,4,1,5,3,4]
[2,1,3,5,2,4]=>[1,3,4,2,3,6]
[2,1,3,5,4,2]=>[2,4,5,3,4,1]
[2,1,4,2,3,5]=>[1,3,5,3,2,6]
[2,1,4,2,5,3]=>[2,4,6,4,3,1]
[2,1,4,3,2,5]=>[1,3,6,3,2,5]
[2,1,4,3,5,2]=>[2,4,1,6,3,4]
[2,1,4,5,2,3]=>[3,5,1,2,5,4]
[2,1,4,5,3,2]=>[3,5,2,1,4,5]
[2,1,5,2,3,4]=>[1,3,6,2,3,5]
[2,1,5,2,4,3]=>[2,4,1,6,4,3]
[2,1,5,3,2,4]=>[1,3,5,2,3,6]
[2,1,5,3,4,2]=>[2,4,6,3,4,1]
[2,1,5,4,2,3]=>[3,5,2,1,5,4]
[2,1,5,4,3,2]=>[3,5,1,2,4,5]
[2,2,1,3,4,5]=>[1,4,3,4,2,5]
[2,2,1,3,5,4]=>[1,4,5,2,4,3]
[2,2,1,4,3,5]=>[1,4,3,4,2,6]
[2,2,1,4,5,3]=>[2,5,4,5,3,1]
[2,2,1,5,3,4]=>[1,4,6,2,4,3]
[2,2,1,5,4,3]=>[2,5,1,4,5,3]
[2,2,3,1,4,5]=>[1,5,3,5,2,4]
[2,2,3,1,5,4]=>[1,5,4,2,5,3]
[2,2,3,4,1,5]=>[3,1,5,1,4,6]
[2,2,3,4,5,1]=>[2,1,4,1,5,3]
[2,2,3,5,1,4]=>[3,1,6,4,1,5]
[2,2,3,5,4,1]=>[2,1,5,3,1,4]
[2,2,4,1,3,5]=>[4,1,6,1,5,2]
[2,2,4,1,5,3]=>[4,1,6,1,5,3]
[2,2,4,3,1,5]=>[4,2,6,2,5,1]
[2,2,4,3,5,1]=>[2,1,4,1,6,3]
[2,2,4,5,1,3]=>[3,1,5,1,2,4]
[2,2,4,5,3,1]=>[3,2,5,2,1,4]
[2,2,5,1,3,4]=>[4,1,2,5,1,6]
[2,2,5,1,4,3]=>[4,1,3,6,1,5]
[2,2,5,3,1,4]=>[4,2,1,5,2,6]
[2,2,5,3,4,1]=>[2,1,6,3,1,4]
[2,2,5,4,1,3]=>[3,1,2,5,1,4]
[2,2,5,4,3,1]=>[3,2,1,5,2,4]
[2,3,1,2,4,5]=>[1,4,5,4,2,3]
[2,3,1,2,5,4]=>[1,4,3,2,4,5]
[2,3,1,4,2,5]=>[1,4,6,4,2,3]
[2,3,1,4,5,2]=>[2,5,1,4,3,5]
[2,3,1,5,2,4]=>[1,4,3,2,4,6]
[2,3,1,5,4,2]=>[2,5,4,3,5,1]
[2,3,2,1,4,5]=>[1,5,4,5,2,3]
[2,3,2,1,5,4]=>[1,5,3,2,5,4]
[2,3,2,4,1,5]=>[3,1,6,1,4,5]
[2,3,2,4,5,1]=>[2,1,5,1,4,3]
[2,3,2,5,1,4]=>[3,1,5,4,1,6]
[2,3,2,5,4,1]=>[2,1,4,3,1,5]
[2,3,4,1,2,5]=>[4,1,2,1,5,6]
[2,3,4,1,5,2]=>[4,1,3,6,5,1]
[2,3,4,2,1,5]=>[4,2,1,2,5,6]
[2,3,4,2,5,1]=>[2,1,6,1,4,3]
[2,3,4,5,1,2]=>[3,1,2,5,4,1]
[2,3,4,5,2,1]=>[3,2,1,5,4,2]
[2,3,5,1,2,4]=>[4,1,6,5,1,2]
[2,3,5,1,4,2]=>[4,1,6,5,1,3]
[2,3,5,2,1,4]=>[4,2,6,5,2,1]
[2,3,5,2,4,1]=>[2,1,4,3,1,6]
[2,3,5,4,1,2]=>[3,1,5,4,1,2]
[2,3,5,4,2,1]=>[3,2,5,4,2,1]
[2,4,1,2,3,5]=>[5,1,2,1,6,3]
[2,4,1,2,5,3]=>[5,1,2,1,6,4]
[2,4,1,3,2,5]=>[5,1,3,1,6,2]
[2,4,1,3,5,2]=>[5,1,4,2,6,1]
[2,4,1,5,2,3]=>[5,1,3,4,1,6]
[2,4,1,5,3,2]=>[5,1,4,3,6,1]
[2,4,2,1,3,5]=>[5,2,1,2,6,3]
[2,4,2,1,5,3]=>[5,2,1,2,6,4]
[2,4,2,3,1,5]=>[5,3,1,3,6,2]
[2,4,2,3,5,1]=>[2,1,5,1,6,3]
[2,4,2,5,1,3]=>[3,1,6,1,2,4]
[2,4,2,5,3,1]=>[3,2,6,2,1,4]
[2,4,3,1,2,5]=>[5,2,3,2,6,1]
[2,4,3,1,5,2]=>[5,2,4,1,6,2]
[2,4,3,2,1,5]=>[5,3,2,3,6,1]
[2,4,3,2,5,1]=>[2,1,6,1,5,3]
[2,4,3,5,1,2]=>[3,1,2,6,4,1]
[2,4,3,5,2,1]=>[3,2,1,6,4,2]
[2,4,5,1,2,3]=>[4,1,2,3,1,5]
[2,4,5,1,3,2]=>[4,1,3,2,5,1]
[2,4,5,2,1,3]=>[4,2,1,3,2,5]
[2,4,5,2,3,1]=>[4,3,1,2,3,5]
[2,4,5,3,1,2]=>[4,2,3,1,5,2]
[2,4,5,3,2,1]=>[4,3,2,1,5,3]
[2,5,1,2,3,4]=>[5,1,3,6,1,2]
[2,5,1,2,4,3]=>[5,1,4,2,1,6]
[2,5,1,3,2,4]=>[5,1,2,6,1,3]
[2,5,1,3,4,2]=>[5,1,2,6,1,4]
[2,5,1,4,2,3]=>[5,1,4,3,1,6]
[2,5,1,4,3,2]=>[5,1,3,4,6,1]
[2,5,2,1,3,4]=>[5,2,3,6,2,1]
[2,5,2,1,4,3]=>[5,2,4,1,2,6]
[2,5,2,3,1,4]=>[5,3,2,6,3,1]
[2,5,2,3,4,1]=>[2,1,6,3,1,5]
[2,5,2,4,1,3]=>[3,1,2,6,1,4]
[2,5,2,4,3,1]=>[3,2,1,6,2,4]
[2,5,3,1,2,4]=>[5,2,1,6,2,3]
[2,5,3,1,4,2]=>[5,2,1,6,2,4]
[2,5,3,2,1,4]=>[5,3,1,6,3,2]
[2,5,3,2,4,1]=>[2,1,5,3,1,6]
[2,5,3,4,1,2]=>[3,1,6,4,1,2]
[2,5,3,4,2,1]=>[3,2,6,4,2,1]
[2,5,4,1,2,3]=>[4,1,3,2,1,5]
[2,5,4,1,3,2]=>[4,1,2,3,5,1]
[2,5,4,2,1,3]=>[4,2,3,1,2,5]
[2,5,4,2,3,1]=>[4,3,2,1,3,5]
[2,5,4,3,1,2]=>[4,2,1,3,5,2]
[2,5,4,3,2,1]=>[4,3,1,2,5,3]
[3,1,2,2,4,5]=>[1,3,5,3,4,2]
[3,1,2,2,5,4]=>[1,3,2,4,3,5]
[3,1,2,4,2,5]=>[1,3,6,3,4,2]
[3,1,2,4,5,2]=>[2,4,1,3,5,4]
[3,1,2,5,2,4]=>[1,3,2,4,3,6]
[3,1,2,5,4,2]=>[2,4,3,5,4,1]
[3,1,4,2,2,5]=>[1,3,6,3,5,2]
[3,1,4,2,5,2]=>[2,4,1,3,6,4]
[3,1,4,5,2,2]=>[3,5,2,4,1,5]
[3,1,5,2,2,4]=>[1,3,2,5,3,6]
[3,1,5,2,4,2]=>[2,4,3,6,4,1]
[3,1,5,4,2,2]=>[3,5,4,1,2,5]
[3,2,1,2,4,5]=>[1,4,5,4,3,2]
[3,2,1,2,5,4]=>[1,4,2,3,4,5]
[3,2,1,4,2,5]=>[1,4,6,4,3,2]
[3,2,1,4,5,2]=>[2,5,1,3,4,5]
[3,2,1,5,2,4]=>[1,4,2,3,4,6]
[3,2,1,5,4,2]=>[2,5,3,4,5,1]
[3,2,2,1,4,5]=>[1,5,4,5,3,2]
[3,2,2,1,5,4]=>[1,5,2,3,5,4]
[3,2,2,4,1,5]=>[3,1,6,1,5,4]
[3,2,2,4,5,1]=>[2,1,5,1,3,4]
[3,2,2,5,1,4]=>[3,1,4,5,1,6]
[3,2,2,5,4,1]=>[2,1,3,4,1,5]
[3,2,4,1,2,5]=>[4,1,2,1,6,5]
[3,2,4,1,5,2]=>[4,1,3,5,6,1]
[3,2,4,2,1,5]=>[4,2,1,2,6,5]
[3,2,4,2,5,1]=>[2,1,6,1,3,4]
[3,2,4,5,1,2]=>[3,1,2,4,5,1]
[3,2,4,5,2,1]=>[3,2,1,4,5,2]
[3,2,5,1,2,4]=>[4,1,5,6,1,2]
[3,2,5,1,4,2]=>[4,1,5,6,1,3]
[3,2,5,2,1,4]=>[4,2,5,6,2,1]
[3,2,5,2,4,1]=>[2,1,3,4,1,6]
[3,2,5,4,1,2]=>[3,1,4,5,1,2]
[3,2,5,4,2,1]=>[3,2,4,5,2,1]
[3,4,1,2,2,5]=>[5,1,3,1,2,6]
[3,4,1,2,5,2]=>[5,1,4,6,2,1]
[3,4,1,5,2,2]=>[5,1,4,6,3,1]
[3,4,2,1,2,5]=>[5,2,3,2,1,6]
[3,4,2,1,5,2]=>[5,2,4,6,1,2]
[3,4,2,2,1,5]=>[5,3,2,3,1,6]
[3,4,2,2,5,1]=>[2,1,6,1,3,5]
[3,4,2,5,1,2]=>[3,1,2,4,6,1]
[3,4,2,5,2,1]=>[3,2,1,4,6,2]
[3,4,5,1,2,2]=>[4,1,3,5,2,1]
[3,4,5,2,1,2]=>[4,2,3,5,1,2]
[3,4,5,2,2,1]=>[4,3,2,5,1,3]
[3,5,1,2,2,4]=>[5,1,6,2,1,3]
[3,5,1,2,4,2]=>[5,1,6,2,1,4]
[3,5,1,4,2,2]=>[5,1,6,3,4,1]
[3,5,2,1,2,4]=>[5,2,6,1,2,3]
[3,5,2,1,4,2]=>[5,2,6,1,2,4]
[3,5,2,2,1,4]=>[5,3,6,1,3,2]
[3,5,2,2,4,1]=>[2,1,3,5,1,6]
[3,5,2,4,1,2]=>[3,1,4,6,1,2]
[3,5,2,4,2,1]=>[3,2,4,6,2,1]
[3,5,4,1,2,2]=>[4,1,5,2,3,1]
[3,5,4,2,1,2]=>[4,2,5,1,3,2]
[3,5,4,2,2,1]=>[4,3,5,1,2,3]
[4,1,2,2,3,5]=>[6,1,3,1,2,4]
[4,1,2,2,5,3]=>[6,1,3,1,2,5]
[4,1,2,3,2,5]=>[6,1,4,1,2,3]
[4,1,2,3,5,2]=>[6,1,5,3,2,1]
[4,1,2,5,2,3]=>[6,1,4,5,1,2]
[4,1,2,5,3,2]=>[6,1,5,4,2,1]
[4,1,3,2,2,5]=>[6,1,4,1,3,2]
[4,1,3,2,5,2]=>[6,1,5,2,3,1]
[4,1,3,5,2,2]=>[6,1,5,2,4,1]
[4,1,5,2,2,3]=>[6,1,4,5,1,3]
[4,1,5,2,3,2]=>[6,1,5,4,3,1]
[4,1,5,3,2,2]=>[6,1,5,3,4,1]
[4,2,1,2,3,5]=>[6,2,3,2,1,4]
[4,2,1,2,5,3]=>[6,2,3,2,1,5]
[4,2,1,3,2,5]=>[6,2,4,2,1,3]
[4,2,1,3,5,2]=>[6,2,5,3,1,2]
[4,2,1,5,2,3]=>[6,2,4,5,2,1]
[4,2,1,5,3,2]=>[6,2,5,4,1,2]
[4,2,2,1,3,5]=>[6,3,2,3,1,4]
[4,2,2,1,5,3]=>[6,3,2,3,1,5]
[4,2,2,3,1,5]=>[6,4,2,4,1,3]
[4,2,2,3,5,1]=>[2,1,5,1,6,4]
[4,2,2,5,1,3]=>[3,1,6,1,2,5]
[4,2,2,5,3,1]=>[3,2,6,2,1,5]
[4,2,3,1,2,5]=>[6,3,4,3,1,2]
[4,2,3,1,5,2]=>[6,3,5,2,1,3]
[4,2,3,2,1,5]=>[6,4,3,4,1,2]
[4,2,3,2,5,1]=>[2,1,6,1,5,4]
[4,2,3,5,1,2]=>[3,1,2,6,5,1]
[4,2,3,5,2,1]=>[3,2,1,6,5,2]
[4,2,5,1,2,3]=>[4,1,2,3,1,6]
[4,2,5,1,3,2]=>[4,1,3,2,6,1]
[4,2,5,2,1,3]=>[4,2,1,3,2,6]
[4,2,5,2,3,1]=>[4,3,1,2,3,6]
[4,2,5,3,1,2]=>[4,2,3,1,6,2]
[4,2,5,3,2,1]=>[4,3,2,1,6,3]
[4,3,1,2,2,5]=>[6,2,4,2,3,1]
[4,3,1,2,5,2]=>[6,2,5,1,3,2]
[4,3,1,5,2,2]=>[6,2,5,1,4,2]
[4,3,2,1,2,5]=>[6,3,4,3,2,1]
[4,3,2,1,5,2]=>[6,3,5,1,2,3]
[4,3,2,2,1,5]=>[6,4,3,4,2,1]
[4,3,2,2,5,1]=>[2,1,6,1,4,5]
[4,3,2,5,1,2]=>[3,1,2,5,6,1]
[4,3,2,5,2,1]=>[3,2,1,5,6,2]
[4,3,5,1,2,2]=>[4,1,3,6,2,1]
[4,3,5,2,1,2]=>[4,2,3,6,1,2]
[4,3,5,2,2,1]=>[4,3,2,6,1,3]
[4,5,1,2,2,3]=>[5,1,3,4,1,2]
[4,5,1,2,3,2]=>[5,1,4,3,2,1]
[4,5,1,3,2,2]=>[5,1,4,2,3,1]
[4,5,2,1,2,3]=>[5,2,3,4,2,1]
[4,5,2,1,3,2]=>[5,2,4,3,1,2]
[4,5,2,2,1,3]=>[5,3,2,4,3,1]
[4,5,2,2,3,1]=>[5,4,2,3,4,1]
[4,5,2,3,1,2]=>[5,3,4,2,1,3]
[4,5,2,3,2,1]=>[5,4,3,2,1,4]
[4,5,3,1,2,2]=>[5,2,4,1,3,2]
[4,5,3,2,1,2]=>[5,3,4,1,2,3]
[4,5,3,2,2,1]=>[5,4,3,1,2,4]
[5,1,2,2,3,4]=>[6,1,4,2,1,3]
[5,1,2,2,4,3]=>[6,1,5,3,1,2]
[5,1,2,3,2,4]=>[6,1,3,2,1,4]
[5,1,2,3,4,2]=>[6,1,3,2,1,5]
[5,1,2,4,2,3]=>[6,1,5,4,1,2]
[5,1,2,4,3,2]=>[6,1,4,5,2,1]
[5,1,3,2,2,4]=>[6,1,2,3,1,4]
[5,1,3,2,4,2]=>[6,1,2,3,1,5]
[5,1,3,4,2,2]=>[6,1,2,4,5,1]
[5,1,4,2,2,3]=>[6,1,5,4,1,3]
[5,1,4,2,3,2]=>[6,1,4,5,3,1]
[5,1,4,3,2,2]=>[6,1,3,5,4,1]
[5,2,1,2,3,4]=>[6,2,4,1,2,3]
[5,2,1,2,4,3]=>[6,2,5,3,2,1]
[5,2,1,3,2,4]=>[6,2,3,1,2,4]
[5,2,1,3,4,2]=>[6,2,3,1,2,5]
[5,2,1,4,2,3]=>[6,2,5,4,2,1]
[5,2,1,4,3,2]=>[6,2,4,5,1,2]
[5,2,2,1,3,4]=>[6,3,4,1,3,2]
[5,2,2,1,4,3]=>[6,3,5,2,3,1]
[5,2,2,3,1,4]=>[6,4,3,1,4,2]
[5,2,2,3,4,1]=>[2,1,6,4,1,5]
[5,2,2,4,1,3]=>[3,1,2,6,1,5]
[5,2,2,4,3,1]=>[3,2,1,6,2,5]
[5,2,3,1,2,4]=>[6,3,2,1,3,4]
[5,2,3,1,4,2]=>[6,3,2,1,3,5]
[5,2,3,2,1,4]=>[6,4,2,1,4,3]
[5,2,3,2,4,1]=>[2,1,5,4,1,6]
[5,2,3,4,1,2]=>[3,1,6,5,1,2]
[5,2,3,4,2,1]=>[3,2,6,5,2,1]
[5,2,4,1,2,3]=>[4,1,3,2,1,6]
[5,2,4,1,3,2]=>[4,1,2,3,6,1]
[5,2,4,2,1,3]=>[4,2,3,1,2,6]
[5,2,4,2,3,1]=>[4,3,2,1,3,6]
[5,2,4,3,1,2]=>[4,2,1,3,6,2]
[5,2,4,3,2,1]=>[4,3,1,2,6,3]
[5,3,1,2,2,4]=>[6,2,1,3,2,4]
[5,3,1,2,4,2]=>[6,2,1,3,2,5]
[5,3,1,4,2,2]=>[6,2,1,4,5,2]
[5,3,2,1,2,4]=>[6,3,1,2,3,4]
[5,3,2,1,4,2]=>[6,3,1,2,3,5]
[5,3,2,2,1,4]=>[6,4,1,2,4,3]
[5,3,2,2,4,1]=>[2,1,4,5,1,6]
[5,3,2,4,1,2]=>[3,1,5,6,1,2]
[5,3,2,4,2,1]=>[3,2,5,6,2,1]
[5,3,4,1,2,2]=>[4,1,6,2,3,1]
[5,3,4,2,1,2]=>[4,2,6,1,3,2]
[5,3,4,2,2,1]=>[4,3,6,1,2,3]
[5,4,1,2,2,3]=>[5,1,4,3,1,2]
[5,4,1,2,3,2]=>[5,1,3,4,2,1]
[5,4,1,3,2,2]=>[5,1,2,4,3,1]
[5,4,2,1,2,3]=>[5,2,4,3,2,1]
[5,4,2,1,3,2]=>[5,2,3,4,1,2]
[5,4,2,2,1,3]=>[5,3,4,2,3,1]
[5,4,2,2,3,1]=>[5,4,3,2,4,1]
[5,4,2,3,1,2]=>[5,3,2,4,1,3]
[5,4,2,3,2,1]=>[5,4,2,3,1,4]
[5,4,3,1,2,2]=>[5,2,1,4,3,2]
[5,4,3,2,1,2]=>[5,3,1,4,2,3]
[5,4,3,2,2,1]=>[5,4,1,3,2,4]
[1,2,2,3,4,6]=>[1,2,3,2,4,6]
[1,2,2,3,6,4]=>[2,3,4,3,5,1]
[1,2,2,4,3,6]=>[1,2,3,2,4,5]
[1,2,2,4,6,3]=>[1,2,5,4,2,3]
[1,2,2,6,3,4]=>[2,3,1,4,3,5]
[1,2,2,6,4,3]=>[1,2,6,4,2,3]
[1,2,3,2,4,6]=>[1,2,3,2,5,6]
[1,2,3,2,6,4]=>[2,3,4,3,6,1]
[1,2,3,4,2,6]=>[1,2,3,2,6,5]
[1,2,3,4,6,2]=>[2,3,4,3,1,6]
[1,2,3,6,2,4]=>[3,4,5,4,1,2]
[1,2,3,6,4,2]=>[3,4,5,4,2,1]
[1,2,4,2,3,6]=>[1,2,3,2,5,4]
[1,2,4,2,6,3]=>[1,2,4,5,2,3]
[1,2,4,3,2,6]=>[1,2,3,2,6,4]
[1,2,4,3,6,2]=>[2,3,4,3,1,5]
[1,2,4,6,2,3]=>[1,2,4,6,2,3]
[1,2,4,6,3,2]=>[2,3,5,1,4,3]
[1,2,6,2,3,4]=>[2,3,1,4,3,6]
[1,2,6,2,4,3]=>[1,2,6,5,2,3]
[1,2,6,3,2,4]=>[3,4,2,5,4,1]
[1,2,6,3,4,2]=>[3,4,1,5,4,2]
[1,2,6,4,2,3]=>[1,2,5,6,2,3]
[1,2,6,4,3,2]=>[2,3,6,1,4,3]
[1,3,2,2,4,6]=>[1,2,4,2,5,6]
[1,3,2,2,6,4]=>[2,3,5,3,6,1]
[1,3,2,4,2,6]=>[1,2,4,2,6,5]
[1,3,2,4,6,2]=>[2,3,5,3,1,6]
[1,3,2,6,2,4]=>[3,4,6,4,1,2]
[1,3,2,6,4,2]=>[3,4,6,4,2,1]
[1,3,4,2,2,6]=>[1,2,5,2,6,4]
[1,3,4,2,6,2]=>[2,3,6,3,1,5]
[1,3,4,6,2,2]=>[3,4,1,6,2,4]
[1,3,6,2,2,4]=>[4,5,1,3,5,2]
[1,3,6,2,4,2]=>[4,5,1,2,5,3]
[1,3,6,4,2,2]=>[4,5,2,1,3,5]
[1,4,2,2,3,6]=>[1,2,4,2,5,3]
[1,4,2,2,6,3]=>[1,2,3,5,2,4]
[1,4,2,3,2,6]=>[1,2,4,2,6,3]
[1,4,2,3,6,2]=>[2,3,5,3,1,4]
[1,4,2,6,2,3]=>[1,2,3,6,2,4]
[1,4,2,6,3,2]=>[2,3,4,1,5,3]
[1,4,3,2,2,6]=>[1,2,5,2,6,3]
[1,4,3,2,6,2]=>[2,3,6,3,1,4]
[1,4,3,6,2,2]=>[3,4,1,5,2,4]
[1,4,6,2,2,3]=>[1,2,3,6,2,5]
[1,4,6,2,3,2]=>[2,3,4,1,6,3]
[1,4,6,3,2,2]=>[3,4,5,2,1,4]
[1,6,2,2,3,4]=>[2,3,1,5,3,6]
[1,6,2,2,4,3]=>[1,2,6,5,2,4]
[1,6,2,3,2,4]=>[3,4,2,6,4,1]
[1,6,2,3,4,2]=>[3,4,1,6,4,2]
[1,6,2,4,2,3]=>[1,2,5,6,2,4]
[1,6,2,4,3,2]=>[2,3,6,1,5,3]
[1,6,3,2,2,4]=>[4,5,3,1,5,2]
[1,6,3,2,4,2]=>[4,5,2,1,5,3]
[1,6,3,4,2,2]=>[4,5,1,2,3,5]
[1,6,4,2,2,3]=>[1,2,4,6,2,5]
[1,6,4,2,3,2]=>[2,3,5,1,6,3]
[1,6,4,3,2,2]=>[3,4,6,2,1,4]
[2,1,2,3,4,6]=>[1,3,2,3,4,6]
[2,1,2,3,6,4]=>[2,4,3,4,5,1]
[2,1,2,4,3,6]=>[1,3,2,3,4,5]
[2,1,2,4,6,3]=>[1,3,5,4,3,2]
[2,1,2,6,3,4]=>[2,4,1,3,4,5]
[2,1,2,6,4,3]=>[1,3,6,4,3,2]
[2,1,3,2,4,6]=>[1,3,2,3,5,6]
[2,1,3,2,6,4]=>[2,4,3,4,6,1]
[2,1,3,4,2,6]=>[1,3,2,3,6,5]
[2,1,3,4,6,2]=>[2,4,3,4,1,6]
[2,1,3,6,2,4]=>[3,5,4,5,1,2]
[2,1,3,6,4,2]=>[3,5,4,5,2,1]
[2,1,4,2,3,6]=>[1,3,2,3,5,4]
[2,1,4,2,6,3]=>[1,3,4,5,3,2]
[2,1,4,3,2,6]=>[1,3,2,3,6,4]
[2,1,4,3,6,2]=>[2,4,3,4,1,5]
[2,1,4,6,2,3]=>[1,3,4,6,3,2]
[2,1,4,6,3,2]=>[2,4,5,1,3,4]
[2,1,6,2,3,4]=>[2,4,1,3,4,6]
[2,1,6,2,4,3]=>[1,3,6,5,3,2]
[2,1,6,3,2,4]=>[3,5,2,4,5,1]
[2,1,6,3,4,2]=>[3,5,1,4,5,2]
[2,1,6,4,2,3]=>[1,3,5,6,3,2]
[2,1,6,4,3,2]=>[2,4,6,1,3,4]
[2,2,1,3,4,6]=>[1,4,2,4,3,6]
[2,2,1,3,6,4]=>[2,5,3,5,4,1]
[2,2,1,4,3,6]=>[1,4,2,4,3,5]
[2,2,1,4,6,3]=>[1,4,5,3,4,2]
[2,2,1,6,3,4]=>[2,5,1,3,5,4]
[2,2,1,6,4,3]=>[1,4,6,3,4,2]
[2,2,3,1,4,6]=>[4,1,5,1,6,2]
[2,2,3,1,6,4]=>[4,1,5,1,6,3]
[2,2,3,4,1,6]=>[4,2,5,2,6,1]
[2,2,3,4,6,1]=>[2,1,3,1,6,4]
[2,2,3,6,1,4]=>[3,1,4,1,2,5]
[2,2,3,6,4,1]=>[3,2,4,2,1,5]
[2,2,4,1,3,6]=>[1,5,2,5,3,4]
[2,2,4,1,6,3]=>[1,5,4,3,5,2]
[2,2,4,3,1,6]=>[3,1,4,1,5,6]
[2,2,4,3,6,1]=>[2,1,3,1,5,4]
[2,2,4,6,1,3]=>[3,1,6,5,1,4]
[2,2,4,6,3,1]=>[2,1,5,4,1,3]
[2,2,6,1,3,4]=>[4,1,3,5,1,6]
[2,2,6,1,4,3]=>[4,1,2,6,1,5]
[2,2,6,3,1,4]=>[3,1,2,4,1,5]
[2,2,6,3,4,1]=>[3,2,1,4,2,5]
[2,2,6,4,1,3]=>[4,2,1,6,2,5]
[2,2,6,4,3,1]=>[2,1,6,4,1,3]
[2,3,1,2,4,6]=>[5,1,6,1,2,3]
[2,3,1,2,6,4]=>[5,1,6,1,2,4]
[2,3,1,4,2,6]=>[5,1,6,1,3,2]
[2,3,1,4,6,2]=>[5,1,6,1,4,2]
[2,3,1,6,2,4]=>[5,1,6,1,3,4]
[2,3,1,6,4,2]=>[5,1,6,1,4,3]
[2,3,2,1,4,6]=>[5,2,6,2,1,3]
[2,3,2,1,6,4]=>[5,2,6,2,1,4]
[2,3,2,4,1,6]=>[5,3,6,3,1,2]
[2,3,2,4,6,1]=>[2,1,3,1,6,5]
[2,3,2,6,1,4]=>[3,1,4,1,2,6]
[2,3,2,6,4,1]=>[3,2,4,2,1,6]
[2,3,4,1,2,6]=>[5,2,6,2,3,1]
[2,3,4,1,6,2]=>[5,2,6,2,4,1]
[2,3,4,2,1,6]=>[5,3,6,3,2,1]
[2,3,4,2,6,1]=>[2,1,3,1,5,6]
[2,3,4,6,1,2]=>[3,1,4,1,6,2]
[2,3,4,6,2,1]=>[3,2,4,2,6,1]
[2,3,6,1,2,4]=>[4,1,5,1,3,2]
[2,3,6,1,4,2]=>[4,1,5,1,2,3]
[2,3,6,2,1,4]=>[4,2,5,2,3,1]
[2,3,6,2,4,1]=>[4,3,5,3,2,1]
[2,3,6,4,1,2]=>[4,2,5,2,1,3]
[2,3,6,4,2,1]=>[4,3,5,3,1,2]
[2,4,1,2,3,6]=>[1,4,2,4,5,3]
[2,4,1,2,6,3]=>[1,4,3,5,4,2]
[2,4,1,3,2,6]=>[1,4,2,4,6,3]
[2,4,1,3,6,2]=>[2,5,3,5,1,4]
[2,4,1,6,2,3]=>[1,4,3,6,4,2]
[2,4,1,6,3,2]=>[2,5,4,1,3,5]
[2,4,2,1,3,6]=>[1,5,2,5,4,3]
[2,4,2,1,6,3]=>[1,5,3,4,5,2]
[2,4,2,3,1,6]=>[3,1,4,1,6,5]
[2,4,2,3,6,1]=>[2,1,3,1,4,5]
[2,4,2,6,1,3]=>[3,1,5,6,1,4]
[2,4,2,6,3,1]=>[2,1,4,5,1,3]
[2,4,3,1,2,6]=>[4,1,5,1,2,6]
[2,4,3,1,6,2]=>[4,1,5,1,3,6]
[2,4,3,2,1,6]=>[4,2,5,2,1,6]
[2,4,3,2,6,1]=>[2,1,3,1,4,6]
[2,4,3,6,1,2]=>[3,1,4,1,5,2]
[2,4,3,6,2,1]=>[3,2,4,2,5,1]
[2,4,6,1,2,3]=>[4,1,6,2,1,5]
[2,4,6,1,3,2]=>[4,1,6,3,5,1]
[2,4,6,2,1,3]=>[4,2,6,1,2,5]
[2,4,6,2,3,1]=>[2,1,4,6,1,3]
[2,4,6,3,1,2]=>[3,1,5,2,4,1]
[2,4,6,3,2,1]=>[3,2,5,1,4,2]
[2,6,1,2,3,4]=>[5,1,4,6,1,2]
[2,6,1,2,4,3]=>[5,1,3,2,1,6]
[2,6,1,3,2,4]=>[5,1,4,6,1,3]
[2,6,1,3,4,2]=>[5,1,3,6,1,4]
[2,6,1,4,2,3]=>[5,1,2,3,1,6]
[2,6,1,4,3,2]=>[5,1,2,4,6,1]
[2,6,2,1,3,4]=>[5,2,4,6,2,1]
[2,6,2,1,4,3]=>[5,2,3,1,2,6]
[2,6,2,3,1,4]=>[3,1,2,4,1,6]
[2,6,2,3,4,1]=>[3,2,1,4,2,6]
[2,6,2,4,1,3]=>[5,3,2,1,3,6]
[2,6,2,4,3,1]=>[2,1,6,5,1,3]
[2,6,3,1,2,4]=>[4,1,3,5,1,2]
[2,6,3,1,4,2]=>[4,1,2,5,1,3]
[2,6,3,2,1,4]=>[4,2,3,5,2,1]
[2,6,3,2,4,1]=>[4,3,2,5,3,1]
[2,6,3,4,1,2]=>[4,2,1,5,2,3]
[2,6,3,4,2,1]=>[4,3,1,5,3,2]
[2,6,4,1,2,3]=>[5,2,1,3,2,6]
[2,6,4,1,3,2]=>[5,2,1,4,6,2]
[2,6,4,2,1,3]=>[5,3,1,2,3,6]
[2,6,4,2,3,1]=>[2,1,5,6,1,3]
[2,6,4,3,1,2]=>[3,1,6,2,4,1]
[2,6,4,3,2,1]=>[3,2,6,1,4,2]
[3,1,2,2,4,6]=>[6,1,2,1,3,4]
[3,1,2,2,6,4]=>[6,1,2,1,3,5]
[3,1,2,4,2,6]=>[6,1,2,1,4,3]
[3,1,2,4,6,2]=>[6,1,2,1,5,3]
[3,1,2,6,2,4]=>[6,1,2,1,4,5]
[3,1,2,6,4,2]=>[6,1,2,1,5,4]
[3,1,4,2,2,6]=>[6,1,3,1,4,2]
[3,1,4,2,6,2]=>[6,1,3,1,5,2]
[3,1,4,6,2,2]=>[6,1,4,2,5,1]
[3,1,6,2,2,4]=>[6,1,3,5,1,4]
[3,1,6,2,4,2]=>[6,1,3,4,1,5]
[3,1,6,4,2,2]=>[6,1,4,3,5,1]
[3,2,1,2,4,6]=>[6,2,1,2,3,4]
[3,2,1,2,6,4]=>[6,2,1,2,3,5]
[3,2,1,4,2,6]=>[6,2,1,2,4,3]
[3,2,1,4,6,2]=>[6,2,1,2,5,3]
[3,2,1,6,2,4]=>[6,2,1,2,4,5]
[3,2,1,6,4,2]=>[6,2,1,2,5,4]
[3,2,2,1,4,6]=>[6,3,1,3,2,4]
[3,2,2,1,6,4]=>[6,3,1,3,2,5]
[3,2,2,4,1,6]=>[6,4,1,4,2,3]
[3,2,2,4,6,1]=>[2,1,4,1,6,5]
[3,2,2,6,1,4]=>[3,1,5,1,2,6]
[3,2,2,6,4,1]=>[3,2,5,2,1,6]
[3,2,4,1,2,6]=>[6,3,1,3,4,2]
[3,2,4,1,6,2]=>[6,3,1,3,5,2]
[3,2,4,2,1,6]=>[6,4,1,4,3,2]
[3,2,4,2,6,1]=>[2,1,4,1,5,6]
[3,2,4,6,1,2]=>[3,1,5,1,6,2]
[3,2,4,6,2,1]=>[3,2,5,2,6,1]
[3,2,6,1,2,4]=>[4,1,6,1,3,2]
[3,2,6,1,4,2]=>[4,1,6,1,2,3]
[3,2,6,2,1,4]=>[4,2,6,2,3,1]
[3,2,6,2,4,1]=>[4,3,6,3,2,1]
[3,2,6,4,1,2]=>[4,2,6,2,1,3]
[3,2,6,4,2,1]=>[4,3,6,3,1,2]
[3,4,1,2,2,6]=>[6,2,3,2,4,1]
[3,4,1,2,6,2]=>[6,2,3,2,5,1]
[3,4,1,6,2,2]=>[6,2,4,1,5,2]
[3,4,2,1,2,6]=>[6,3,2,3,4,1]
[3,4,2,1,6,2]=>[6,3,2,3,5,1]
[3,4,2,2,1,6]=>[6,4,2,4,3,1]
[3,4,2,2,6,1]=>[2,1,5,1,4,6]
[3,4,2,6,1,2]=>[3,1,6,1,5,2]
[3,4,2,6,2,1]=>[3,2,6,2,5,1]
[3,4,6,1,2,2]=>[4,1,2,6,3,1]
[3,4,6,2,1,2]=>[4,2,1,6,3,2]
[3,4,6,2,2,1]=>[4,3,1,6,2,3]
[3,6,1,2,2,4]=>[5,1,2,4,1,3]
[3,6,1,2,4,2]=>[5,1,2,3,1,4]
[3,6,1,4,2,2]=>[5,1,3,2,4,1]
[3,6,2,1,2,4]=>[5,2,1,4,2,3]
[3,6,2,1,4,2]=>[5,2,1,3,2,4]
[3,6,2,2,1,4]=>[5,3,1,4,3,2]
[3,6,2,2,4,1]=>[5,4,1,3,4,2]
[3,6,2,4,1,2]=>[5,3,1,2,3,4]
[3,6,2,4,2,1]=>[5,4,1,2,4,3]
[3,6,4,1,2,2]=>[5,2,3,1,4,2]
[3,6,4,2,1,2]=>[5,3,2,1,4,3]
[3,6,4,2,2,1]=>[5,4,2,1,3,4]
[4,1,2,2,3,6]=>[1,3,4,3,5,2]
[4,1,2,2,6,3]=>[1,3,2,5,3,4]
[4,1,2,3,2,6]=>[1,3,4,3,6,2]
[4,1,2,3,6,2]=>[2,4,5,4,1,3]
[4,1,2,6,2,3]=>[1,3,2,6,3,4]
[4,1,2,6,3,2]=>[2,4,3,1,5,4]
[4,1,3,2,2,6]=>[1,3,5,3,6,2]
[4,1,3,2,6,2]=>[2,4,6,4,1,3]
[4,1,3,6,2,2]=>[3,5,1,4,2,5]
[4,1,6,2,2,3]=>[1,3,2,6,3,5]
[4,1,6,2,3,2]=>[2,4,3,1,6,4]
[4,1,6,3,2,2]=>[3,5,4,2,1,5]
[4,2,1,2,3,6]=>[1,4,3,4,5,2]
[4,2,1,2,6,3]=>[1,4,2,5,4,3]
[4,2,1,3,2,6]=>[1,4,3,4,6,2]
[4,2,1,3,6,2]=>[2,5,4,5,1,3]
[4,2,1,6,2,3]=>[1,4,2,6,4,3]
[4,2,1,6,3,2]=>[2,5,3,1,4,5]
[4,2,2,1,3,6]=>[1,5,3,5,4,2]
[4,2,2,1,6,3]=>[1,5,2,4,5,3]
[4,2,2,3,1,6]=>[3,1,5,1,6,4]
[4,2,2,3,6,1]=>[2,1,4,1,3,5]
[4,2,2,6,1,3]=>[3,1,4,6,1,5]
[4,2,2,6,3,1]=>[2,1,3,5,1,4]
[4,2,3,1,2,6]=>[4,1,6,1,2,5]
[4,2,3,1,6,2]=>[4,1,6,1,3,5]
[4,2,3,2,1,6]=>[4,2,6,2,1,5]
[4,2,3,2,6,1]=>[2,1,4,1,3,6]
[4,2,3,6,1,2]=>[3,1,5,1,4,2]
[4,2,3,6,2,1]=>[3,2,5,2,4,1]
[4,2,6,1,2,3]=>[4,1,5,2,1,6]
[4,2,6,1,3,2]=>[4,1,5,3,6,1]
[4,2,6,2,1,3]=>[4,2,5,1,2,6]
[4,2,6,2,3,1]=>[2,1,3,6,1,4]
[4,2,6,3,1,2]=>[3,1,4,2,5,1]
[4,2,6,3,2,1]=>[3,2,4,1,5,2]
[4,3,1,2,2,6]=>[5,1,2,1,3,6]
[4,3,1,2,6,2]=>[5,1,2,1,4,6]
[4,3,1,6,2,2]=>[5,1,3,6,4,1]
[4,3,2,1,2,6]=>[5,2,1,2,3,6]
[4,3,2,1,6,2]=>[5,2,1,2,4,6]
[4,3,2,2,1,6]=>[5,3,1,3,2,6]
[4,3,2,2,6,1]=>[2,1,5,1,3,6]
[4,3,2,6,1,2]=>[3,1,6,1,4,2]
[4,3,2,6,2,1]=>[3,2,6,2,4,1]
[4,3,6,1,2,2]=>[4,1,2,5,3,1]
[4,3,6,2,1,2]=>[4,2,1,5,3,2]
[4,3,6,2,2,1]=>[4,3,1,5,2,3]
[4,6,1,2,2,3]=>[5,1,6,3,1,2]
[4,6,1,2,3,2]=>[5,1,6,4,2,1]
[4,6,1,3,2,2]=>[5,1,6,4,3,1]
[4,6,2,1,2,3]=>[5,2,6,3,2,1]
[4,6,2,1,3,2]=>[5,2,6,4,1,2]
[4,6,2,2,1,3]=>[5,3,6,2,3,1]
[4,6,2,2,3,1]=>[2,1,3,6,1,5]
[4,6,2,3,1,2]=>[3,1,4,2,6,1]
[4,6,2,3,2,1]=>[3,2,4,1,6,2]
[4,6,3,1,2,2]=>[4,1,5,3,2,1]
[4,6,3,2,1,2]=>[4,2,5,3,1,2]
[4,6,3,2,2,1]=>[4,3,5,2,1,3]
[6,1,2,2,3,4]=>[6,1,5,2,1,3]
[6,1,2,2,4,3]=>[6,1,4,3,1,2]
[6,1,2,3,2,4]=>[6,1,5,2,1,4]
[6,1,2,3,4,2]=>[6,1,4,2,1,5]
[6,1,2,4,2,3]=>[6,1,3,4,1,2]
[6,1,2,4,3,2]=>[6,1,3,5,2,1]
[6,1,3,2,2,4]=>[6,1,5,3,1,4]
[6,1,3,2,4,2]=>[6,1,4,3,1,5]
[6,1,3,4,2,2]=>[6,1,3,4,5,1]
[6,1,4,2,2,3]=>[6,1,2,4,1,3]
[6,1,4,2,3,2]=>[6,1,2,5,3,1]
[6,1,4,3,2,2]=>[6,1,2,5,4,1]
[6,2,1,2,3,4]=>[6,2,5,1,2,3]
[6,2,1,2,4,3]=>[6,2,4,3,2,1]
[6,2,1,3,2,4]=>[6,2,5,1,2,4]
[6,2,1,3,4,2]=>[6,2,4,1,2,5]
[6,2,1,4,2,3]=>[6,2,3,4,2,1]
[6,2,1,4,3,2]=>[6,2,3,5,1,2]
[6,2,2,1,3,4]=>[6,3,5,1,3,2]
[6,2,2,1,4,3]=>[6,3,4,2,3,1]
[6,2,2,3,1,4]=>[3,1,2,5,1,6]
[6,2,2,3,4,1]=>[3,2,1,5,2,6]
[6,2,2,4,1,3]=>[6,4,3,2,4,1]
[6,2,2,4,3,1]=>[2,1,6,5,1,4]
[6,2,3,1,2,4]=>[4,1,3,6,1,2]
[6,2,3,1,4,2]=>[4,1,2,6,1,3]
[6,2,3,2,1,4]=>[4,2,3,6,2,1]
[6,2,3,2,4,1]=>[4,3,2,6,3,1]
[6,2,3,4,1,2]=>[4,2,1,6,2,3]
[6,2,3,4,2,1]=>[4,3,1,6,3,2]
[6,2,4,1,2,3]=>[6,3,2,4,3,1]
[6,2,4,1,3,2]=>[6,3,2,5,1,3]
[6,2,4,2,1,3]=>[6,4,2,3,4,1]
[6,2,4,2,3,1]=>[2,1,5,6,1,4]
[6,2,4,3,1,2]=>[3,1,6,2,5,1]
[6,2,4,3,2,1]=>[3,2,6,1,5,2]
[6,3,1,2,2,4]=>[5,1,4,2,1,3]
[6,3,1,2,4,2]=>[5,1,3,2,1,4]
[6,3,1,4,2,2]=>[5,1,2,3,4,1]
[6,3,2,1,2,4]=>[5,2,4,1,2,3]
[6,3,2,1,4,2]=>[5,2,3,1,2,4]
[6,3,2,2,1,4]=>[5,3,4,1,3,2]
[6,3,2,2,4,1]=>[5,4,3,1,4,2]
[6,3,2,4,1,2]=>[5,3,2,1,3,4]
[6,3,2,4,2,1]=>[5,4,2,1,4,3]
[6,3,4,1,2,2]=>[5,2,1,3,4,2]
[6,3,4,2,1,2]=>[5,3,1,2,4,3]
[6,3,4,2,2,1]=>[5,4,1,2,3,4]
[6,4,1,2,2,3]=>[6,2,1,4,2,3]
[6,4,1,2,3,2]=>[6,2,1,5,3,2]
[6,4,1,3,2,2]=>[6,2,1,5,4,2]
[6,4,2,1,2,3]=>[6,3,1,4,3,2]
[6,4,2,1,3,2]=>[6,3,1,5,2,3]
[6,4,2,2,1,3]=>[6,4,1,3,4,2]
[6,4,2,2,3,1]=>[2,1,4,6,1,5]
[6,4,2,3,1,2]=>[3,1,5,2,6,1]
[6,4,2,3,2,1]=>[3,2,5,1,6,2]
[6,4,3,1,2,2]=>[4,1,6,3,2,1]
[6,4,3,2,1,2]=>[4,2,6,3,1,2]
[6,4,3,2,2,1]=>[4,3,6,2,1,3]
[1,2,2,3,5,5]=>[1,2,2,3,5,5]
[1,2,2,5,3,5]=>[3,4,4,5,1,1]
[1,2,2,5,5,3]=>[2,3,3,4,1,1]
[1,2,3,2,5,5]=>[1,2,2,3,4,4]
[1,2,3,5,2,5]=>[1,2,4,2,3,4]
[1,2,3,5,5,2]=>[1,2,4,4,3,2]
[1,2,5,2,3,5]=>[3,4,1,4,5,1]
[1,2,5,2,5,3]=>[2,3,1,3,4,1]
[1,2,5,3,2,5]=>[1,2,5,2,3,5]
[1,2,5,3,5,2]=>[1,2,5,5,3,2]
[1,2,5,5,2,3]=>[2,3,1,1,3,4]
[1,2,5,5,3,2]=>[3,4,1,1,5,4]
[1,3,2,2,5,5]=>[1,2,2,4,3,3]
[1,3,2,5,2,5]=>[1,2,3,2,4,3]
[1,3,2,5,5,2]=>[1,2,3,3,4,2]
[1,3,5,2,2,5]=>[1,2,3,2,5,3]
[1,3,5,2,5,2]=>[1,2,3,3,5,2]
[1,3,5,5,2,2]=>[1,2,3,3,6,2]
[1,5,2,2,3,5]=>[3,4,1,4,6,1]
[1,5,2,2,5,3]=>[2,3,1,3,5,1]
[1,5,2,3,2,5]=>[1,2,5,2,4,5]
[1,5,2,3,5,2]=>[1,2,5,5,4,2]
[1,5,2,5,2,3]=>[2,3,1,1,3,5]
[1,5,2,5,3,2]=>[3,4,1,1,6,4]
[1,5,3,2,2,5]=>[1,2,4,2,5,4]
[1,5,3,2,5,2]=>[1,2,4,4,5,2]
[1,5,3,5,2,2]=>[1,2,4,4,6,2]
[1,5,5,2,2,3]=>[2,3,1,1,3,6]
[1,5,5,2,3,2]=>[4,5,2,2,1,5]
[1,5,5,3,2,2]=>[4,5,1,1,2,5]
[2,1,2,3,5,5]=>[1,3,3,2,5,5]
[2,1,2,5,3,5]=>[3,5,5,4,1,1]
[2,1,2,5,5,3]=>[2,4,4,3,1,1]
[2,1,3,2,5,5]=>[1,3,3,2,4,4]
[2,1,3,5,2,5]=>[1,3,4,3,2,4]
[2,1,3,5,5,2]=>[1,3,4,4,2,3]
[2,1,5,2,3,5]=>[3,5,1,5,4,1]
[2,1,5,2,5,3]=>[2,4,1,4,3,1]
[2,1,5,3,2,5]=>[1,3,5,3,2,5]
[2,1,5,3,5,2]=>[1,3,5,5,2,3]
[2,1,5,5,2,3]=>[2,4,1,1,4,3]
[2,1,5,5,3,2]=>[3,5,1,1,4,5]
[2,2,1,3,5,5]=>[5,1,1,6,2,2]
[2,2,1,5,3,5]=>[5,1,1,6,3,3]
[2,2,1,5,5,3]=>[2,5,5,3,1,1]
[2,2,3,1,5,5]=>[5,2,2,6,1,1]
[2,2,3,5,1,5]=>[5,3,3,1,6,1]
[2,2,3,5,5,1]=>[2,1,1,5,5,3]
[2,2,5,1,3,5]=>[4,1,1,2,5,2]
[2,2,5,1,5,3]=>[4,1,1,3,5,3]
[2,2,5,3,1,5]=>[4,2,2,1,5,1]
[2,2,5,3,5,1]=>[4,3,3,1,1,5]
[2,2,5,5,1,3]=>[3,1,1,2,2,4]
[2,2,5,5,3,1]=>[3,2,2,1,1,4]
[2,3,1,2,5,5]=>[1,4,4,2,3,3]
[2,3,1,5,2,5]=>[1,4,3,4,2,3]
[2,3,1,5,5,2]=>[1,4,3,3,2,4]
[2,3,2,1,5,5]=>[1,5,5,2,3,3]
[2,3,2,5,1,5]=>[3,1,1,5,4,5]
[2,3,2,5,5,1]=>[2,1,1,4,4,3]
[2,3,5,1,2,5]=>[1,5,3,5,2,3]
[2,3,5,1,5,2]=>[1,5,3,3,2,5]
[2,3,5,2,1,5]=>[3,1,5,1,4,5]
[2,3,5,2,5,1]=>[2,1,4,1,4,3]
[2,3,5,5,1,2]=>[3,1,5,5,4,1]
[2,3,5,5,2,1]=>[2,1,4,4,3,1]
[2,5,1,2,3,5]=>[5,1,3,1,6,3]
[2,5,1,2,5,3]=>[2,5,1,5,3,1]
[2,5,1,3,2,5]=>[5,1,2,1,6,2]
[2,5,1,3,5,2]=>[5,1,2,2,6,1]
[2,5,1,5,2,3]=>[2,5,1,1,5,3]
[2,5,1,5,3,2]=>[5,1,3,3,6,1]
[2,5,2,1,3,5]=>[4,1,2,1,5,2]
[2,5,2,1,5,3]=>[4,1,3,1,5,3]
[2,5,2,3,1,5]=>[4,2,1,2,5,1]
[2,5,2,3,5,1]=>[4,3,1,3,1,5]
[2,5,2,5,1,3]=>[3,1,2,1,2,4]
[2,5,2,5,3,1]=>[3,2,1,2,1,4]
[2,5,3,1,2,5]=>[5,2,1,2,6,1]
[2,5,3,1,5,2]=>[5,2,1,1,6,2]
[2,5,3,2,1,5]=>[5,3,1,3,6,1]
[2,5,3,2,5,1]=>[2,1,5,1,5,3]
[2,5,3,5,1,2]=>[5,3,1,1,6,3]
[2,5,3,5,2,1]=>[2,1,5,5,3,1]
[2,5,5,1,2,3]=>[4,1,3,3,1,5]
[2,5,5,1,3,2]=>[4,1,2,2,5,1]
[2,5,5,2,1,3]=>[3,1,2,2,1,4]
[2,5,5,2,3,1]=>[3,2,1,1,2,4]
[2,5,5,3,1,2]=>[4,2,1,1,5,2]
[2,5,5,3,2,1]=>[4,3,1,1,5,3]
[3,1,2,2,5,5]=>[1,3,3,4,2,2]
[3,1,2,5,2,5]=>[1,3,2,3,4,2]
[3,1,2,5,5,2]=>[1,3,2,2,4,3]
[3,1,5,2,2,5]=>[1,3,2,3,5,2]
[3,1,5,2,5,2]=>[1,3,2,2,5,3]
[3,1,5,5,2,2]=>[1,3,2,2,6,3]
[3,2,1,2,5,5]=>[1,4,4,3,2,2]
[3,2,1,5,2,5]=>[1,4,2,4,3,2]
[3,2,1,5,5,2]=>[1,4,2,2,3,4]
[3,2,2,1,5,5]=>[1,5,5,3,2,2]
[3,2,2,5,1,5]=>[3,1,1,4,5,4]
[3,2,2,5,5,1]=>[2,1,1,3,3,4]
[3,2,5,1,2,5]=>[1,5,2,5,3,2]
[3,2,5,1,5,2]=>[1,5,2,2,3,5]
[3,2,5,2,1,5]=>[3,1,4,1,5,4]
[3,2,5,2,5,1]=>[2,1,3,1,3,4]
[3,2,5,5,1,2]=>[3,1,4,4,5,1]
[3,2,5,5,2,1]=>[2,1,3,3,4,1]
[3,5,1,2,2,5]=>[1,4,2,4,5,2]
[3,5,1,2,5,2]=>[1,4,2,2,5,4]
[3,5,1,5,2,2]=>[1,4,2,2,6,4]
[3,5,2,1,2,5]=>[1,5,2,5,4,2]
[3,5,2,1,5,2]=>[1,5,2,2,4,5]
[3,5,2,2,1,5]=>[3,1,4,1,6,4]
[3,5,2,2,5,1]=>[2,1,3,1,3,5]
[3,5,2,5,1,2]=>[3,1,4,4,6,1]
[3,5,2,5,2,1]=>[2,1,3,3,5,1]
[3,5,5,1,2,2]=>[4,1,5,5,2,1]
[3,5,5,2,1,2]=>[4,2,5,5,1,2]
[3,5,5,2,2,1]=>[2,1,3,3,6,1]
[5,1,2,2,3,5]=>[6,1,4,1,2,4]
[5,1,2,2,5,3]=>[2,4,1,4,5,1]
[5,1,2,3,2,5]=>[6,1,3,1,2,3]
[5,1,2,3,5,2]=>[6,1,3,3,2,1]
[5,1,2,5,2,3]=>[2,4,1,1,4,5]
[5,1,2,5,3,2]=>[6,1,4,4,2,1]
[5,1,3,2,2,5]=>[6,1,2,1,3,2]
[5,1,3,2,5,2]=>[6,1,2,2,3,1]
[5,1,3,5,2,2]=>[6,1,2,2,4,1]
[5,1,5,2,2,3]=>[2,4,1,1,4,6]
[5,1,5,2,3,2]=>[6,1,4,4,3,1]
[5,1,5,3,2,2]=>[6,1,3,3,4,1]
[5,2,1,2,3,5]=>[6,2,4,2,1,4]
[5,2,1,2,5,3]=>[2,5,1,5,4,1]
[5,2,1,3,2,5]=>[6,2,3,2,1,3]
[5,2,1,3,5,2]=>[6,2,3,3,1,2]
[5,2,1,5,2,3]=>[2,5,1,1,5,4]
[5,2,1,5,3,2]=>[6,2,4,4,1,2]
[5,2,2,1,3,5]=>[4,1,2,1,6,2]
[5,2,2,1,5,3]=>[4,1,3,1,6,3]
[5,2,2,3,1,5]=>[4,2,1,2,6,1]
[5,2,2,3,5,1]=>[4,3,1,3,1,6]
[5,2,2,5,1,3]=>[3,1,2,1,2,5]
[5,2,2,5,3,1]=>[3,2,1,2,1,5]
[5,2,3,1,2,5]=>[6,3,2,3,1,2]
[5,2,3,1,5,2]=>[6,3,2,2,1,3]
[5,2,3,2,1,5]=>[6,4,2,4,1,2]
[5,2,3,2,5,1]=>[2,1,5,1,5,4]
[5,2,3,5,1,2]=>[6,4,2,2,1,4]
[5,2,3,5,2,1]=>[2,1,5,5,4,1]
[5,2,5,1,2,3]=>[4,1,3,3,1,6]
[5,2,5,1,3,2]=>[4,1,2,2,6,1]
[5,2,5,2,1,3]=>[3,1,2,2,1,5]
[5,2,5,2,3,1]=>[3,2,1,1,2,5]
[5,2,5,3,1,2]=>[4,2,1,1,6,2]
[5,2,5,3,2,1]=>[4,3,1,1,6,3]
[5,3,1,2,2,5]=>[6,2,1,2,3,1]
[5,3,1,2,5,2]=>[6,2,1,1,3,2]
[5,3,1,5,2,2]=>[6,2,1,1,4,2]
[5,3,2,1,2,5]=>[6,3,1,3,2,1]
[5,3,2,1,5,2]=>[6,3,1,1,2,3]
[5,3,2,2,1,5]=>[6,4,1,4,2,1]
[5,3,2,2,5,1]=>[2,1,4,1,4,5]
[5,3,2,5,1,2]=>[6,4,1,1,2,4]
[5,3,2,5,2,1]=>[2,1,4,4,5,1]
[5,3,5,1,2,2]=>[6,3,1,1,4,3]
[5,3,5,2,1,2]=>[6,4,1,1,3,4]
[5,3,5,2,2,1]=>[2,1,4,4,6,1]
[5,5,1,2,2,3]=>[5,1,4,4,1,2]
[5,5,1,2,3,2]=>[5,1,3,3,2,1]
[5,5,1,3,2,2]=>[5,1,2,2,3,1]
[5,5,2,1,2,3]=>[5,2,4,4,2,1]
[5,5,2,1,3,2]=>[5,2,3,3,1,2]
[5,5,2,2,1,3]=>[3,1,2,2,1,6]
[5,5,2,2,3,1]=>[3,2,1,1,2,6]
[5,5,2,3,1,2]=>[5,3,2,2,1,3]
[5,5,2,3,2,1]=>[5,4,2,2,1,4]
[5,5,3,1,2,2]=>[5,2,1,1,3,2]
[5,5,3,2,1,2]=>[5,3,1,1,2,3]
[5,5,3,2,2,1]=>[5,4,1,1,2,4]
[1,2,2,3,5,6]=>[1,2,2,3,5,6]
[1,2,2,3,6,5]=>[2,3,3,4,6,1]
[1,2,2,5,3,6]=>[1,2,2,3,6,5]
[1,2,2,5,6,3]=>[2,3,3,4,1,6]
[1,2,2,6,3,5]=>[3,4,4,5,1,2]
[1,2,2,6,5,3]=>[3,4,4,5,2,1]
[1,2,3,2,5,6]=>[1,2,2,3,4,6]
[1,2,3,2,6,5]=>[2,3,3,4,5,1]
[1,2,3,5,2,6]=>[1,2,2,3,4,5]
[1,2,3,5,6,2]=>[1,2,5,4,3,2]
[1,2,3,6,2,5]=>[2,3,1,3,4,5]
[1,2,3,6,5,2]=>[1,2,6,4,3,2]
[1,2,5,2,3,6]=>[1,2,2,3,6,4]
[1,2,5,2,6,3]=>[2,3,3,4,1,5]
[1,2,5,3,2,6]=>[1,2,2,3,5,4]
[1,2,5,3,6,2]=>[1,2,4,5,3,2]
[1,2,5,6,2,3]=>[2,3,5,1,3,4]
[1,2,5,6,3,2]=>[1,2,4,6,3,2]
[1,2,6,2,3,5]=>[3,4,2,4,5,1]
[1,2,6,2,5,3]=>[3,4,1,4,5,2]
[1,2,6,3,2,5]=>[2,3,1,3,4,6]
[1,2,6,3,5,2]=>[1,2,6,5,3,2]
[1,2,6,5,2,3]=>[2,3,6,1,3,4]
[1,2,6,5,3,2]=>[1,2,5,6,3,2]
[1,3,2,2,5,6]=>[1,2,2,4,3,6]
[1,3,2,2,6,5]=>[2,3,3,5,4,1]
[1,3,2,5,2,6]=>[1,2,2,4,3,5]
[1,3,2,5,6,2]=>[1,2,5,3,4,2]
[1,3,2,6,2,5]=>[2,3,1,3,5,4]
[1,3,2,6,5,2]=>[1,2,6,3,4,2]
[1,3,5,2,2,6]=>[1,2,2,5,3,4]
[1,3,5,2,6,2]=>[1,2,4,3,5,2]
[1,3,5,6,2,2]=>[1,2,4,3,6,2]
[1,3,6,2,2,5]=>[2,3,1,3,6,4]
[1,3,6,2,5,2]=>[1,2,6,3,5,2]
[1,3,6,5,2,2]=>[1,2,5,3,6,2]
[1,5,2,2,3,6]=>[1,2,2,4,6,3]
[1,5,2,2,6,3]=>[2,3,3,5,1,4]
[1,5,2,3,2,6]=>[1,2,2,4,5,3]
[1,5,2,3,6,2]=>[1,2,3,5,4,2]
[1,5,2,6,2,3]=>[2,3,4,1,3,5]
[1,5,2,6,3,2]=>[1,2,3,6,4,2]
[1,5,3,2,2,6]=>[1,2,2,5,4,3]
[1,5,3,2,6,2]=>[1,2,3,4,5,2]
[1,5,3,6,2,2]=>[1,2,3,4,6,2]
[1,5,6,2,2,3]=>[2,3,4,1,3,6]
[1,5,6,2,3,2]=>[1,2,3,6,5,2]
[1,5,6,3,2,2]=>[1,2,3,5,6,2]
[1,6,2,2,3,5]=>[3,4,2,4,6,1]
[1,6,2,2,5,3]=>[3,4,1,4,6,2]
[1,6,2,3,2,5]=>[2,3,1,3,5,6]
[1,6,2,3,5,2]=>[1,2,6,5,4,2]
[1,6,2,5,2,3]=>[2,3,6,1,3,5]
[1,6,2,5,3,2]=>[1,2,5,6,4,2]
[1,6,3,2,2,5]=>[2,3,1,3,6,5]
[1,6,3,2,5,2]=>[1,2,6,4,5,2]
[1,6,3,5,2,2]=>[1,2,5,4,6,2]
[1,6,5,2,2,3]=>[2,3,5,1,3,6]
[1,6,5,2,3,2]=>[1,2,4,6,5,2]
[1,6,5,3,2,2]=>[1,2,4,5,6,2]
[2,1,2,3,5,6]=>[1,3,3,2,5,6]
[2,1,2,3,6,5]=>[2,4,4,3,6,1]
[2,1,2,5,3,6]=>[1,3,3,2,6,5]
[2,1,2,5,6,3]=>[2,4,4,3,1,6]
[2,1,2,6,3,5]=>[3,5,5,4,1,2]
[2,1,2,6,5,3]=>[3,5,5,4,2,1]
[2,1,3,2,5,6]=>[1,3,3,2,4,6]
[2,1,3,2,6,5]=>[2,4,4,3,5,1]
[2,1,3,5,2,6]=>[1,3,3,2,4,5]
[2,1,3,5,6,2]=>[1,3,5,4,2,3]
[2,1,3,6,2,5]=>[2,4,1,4,3,5]
[2,1,3,6,5,2]=>[1,3,6,4,2,3]
[2,1,5,2,3,6]=>[1,3,3,2,6,4]
[2,1,5,2,6,3]=>[2,4,4,3,1,5]
[2,1,5,3,2,6]=>[1,3,3,2,5,4]
[2,1,5,3,6,2]=>[1,3,4,5,2,3]
[2,1,5,6,2,3]=>[2,4,5,1,4,3]
[2,1,5,6,3,2]=>[1,3,4,6,2,3]
[2,1,6,2,3,5]=>[3,5,2,5,4,1]
[2,1,6,2,5,3]=>[3,5,1,5,4,2]
[2,1,6,3,2,5]=>[2,4,1,4,3,6]
[2,1,6,3,5,2]=>[1,3,6,5,2,3]
[2,1,6,5,2,3]=>[2,4,6,1,4,3]
[2,1,6,5,3,2]=>[1,3,5,6,2,3]
[2,2,1,3,5,6]=>[5,1,1,6,2,3]
[2,2,1,3,6,5]=>[5,1,1,6,2,4]
[2,2,1,5,3,6]=>[5,1,1,6,3,2]
[2,2,1,5,6,3]=>[5,1,1,6,4,2]
[2,2,1,6,3,5]=>[5,1,1,6,3,4]
[2,2,1,6,5,3]=>[5,1,1,6,4,3]
[2,2,3,1,5,6]=>[5,2,2,6,1,3]
[2,2,3,1,6,5]=>[5,2,2,6,1,4]
[2,2,3,5,1,6]=>[5,3,3,6,1,2]
[2,2,3,5,6,1]=>[2,1,1,6,5,3]
[2,2,3,6,1,5]=>[3,1,1,2,4,6]
[2,2,3,6,5,1]=>[3,2,2,1,6,4]
[2,2,5,1,3,6]=>[5,2,2,6,3,1]
[2,2,5,1,6,3]=>[5,2,2,6,4,1]
[2,2,5,3,1,6]=>[5,3,3,6,2,1]
[2,2,5,3,6,1]=>[2,1,1,5,6,3]
[2,2,5,6,1,3]=>[3,1,1,6,2,4]
[2,2,5,6,3,1]=>[3,2,2,6,1,4]
[2,2,6,1,3,5]=>[4,1,1,3,5,2]
[2,2,6,1,5,3]=>[4,1,1,2,5,3]
[2,2,6,3,1,5]=>[4,2,2,3,5,1]
[2,2,6,3,5,1]=>[4,3,3,2,1,5]
[2,2,6,5,1,3]=>[4,2,2,1,3,5]
[2,2,6,5,3,1]=>[4,3,3,1,2,5]
[2,3,1,2,5,6]=>[1,4,4,2,3,6]
[2,3,1,2,6,5]=>[2,5,5,3,4,1]
[2,3,1,5,2,6]=>[1,4,4,2,3,5]
[2,3,1,5,6,2]=>[1,4,5,3,2,4]
[2,3,1,6,2,5]=>[2,5,1,5,3,4]
[2,3,1,6,5,2]=>[1,4,6,3,2,4]
[2,3,2,1,5,6]=>[4,1,1,5,6,2]
[2,3,2,1,6,5]=>[4,1,1,5,6,3]
[2,3,2,5,1,6]=>[4,2,2,5,6,1]
[2,3,2,5,6,1]=>[2,1,1,6,4,3]
[2,3,2,6,1,5]=>[3,1,1,2,4,5]
[2,3,2,6,5,1]=>[3,2,2,1,5,4]
[2,3,5,1,2,6]=>[1,5,5,2,3,4]
[2,3,5,1,6,2]=>[1,5,4,3,2,5]
[2,3,5,2,1,6]=>[3,1,1,4,5,6]
[2,3,5,2,6,1]=>[2,1,1,5,4,3]
[2,3,5,6,1,2]=>[3,1,6,5,4,1]
[2,3,5,6,2,1]=>[2,1,5,4,3,1]
[2,3,6,1,2,5]=>[4,1,3,1,5,6]
[2,3,6,1,5,2]=>[4,1,2,6,5,1]
[2,3,6,2,1,5]=>[3,1,2,1,4,5]
[2,3,6,2,5,1]=>[3,2,1,2,5,4]
[2,3,6,5,1,2]=>[4,2,1,6,5,2]
[2,3,6,5,2,1]=>[2,1,6,4,3,1]
[2,5,1,2,3,6]=>[1,4,4,2,6,3]
[2,5,1,2,6,3]=>[2,5,5,3,1,4]
[2,5,1,3,2,6]=>[1,4,4,2,5,3]
[2,5,1,3,6,2]=>[1,4,3,5,2,4]
[2,5,1,6,2,3]=>[2,5,4,1,5,3]
[2,5,1,6,3,2]=>[1,4,3,6,2,4]
[2,5,2,1,3,6]=>[4,1,1,5,2,6]
[2,5,2,1,6,3]=>[4,1,1,5,3,6]
[2,5,2,3,1,6]=>[4,2,2,5,1,6]
[2,5,2,3,6,1]=>[2,1,1,4,6,3]
[2,5,2,6,1,3]=>[3,1,1,5,2,4]
[2,5,2,6,3,1]=>[3,2,2,5,1,4]
[2,5,3,1,2,6]=>[1,5,5,2,4,3]
[2,5,3,1,6,2]=>[1,5,3,4,2,5]
[2,5,3,2,1,6]=>[3,1,1,4,6,5]
[2,5,3,2,6,1]=>[2,1,1,4,5,3]
[2,5,3,6,1,2]=>[3,1,5,6,4,1]
[2,5,3,6,2,1]=>[2,1,4,5,3,1]
[2,5,6,1,2,3]=>[4,1,6,3,1,5]
[2,5,6,1,3,2]=>[4,1,6,2,5,1]
[2,5,6,2,1,3]=>[3,1,5,2,1,4]
[2,5,6,2,3,1]=>[3,2,5,1,2,4]
[2,5,6,3,1,2]=>[4,2,6,1,5,2]
[2,5,6,3,2,1]=>[2,1,4,6,3,1]
[2,6,1,2,3,5]=>[5,1,4,1,6,3]
[2,6,1,2,5,3]=>[5,1,3,1,6,4]
[2,6,1,3,2,5]=>[5,1,4,1,6,2]
[2,6,1,3,5,2]=>[5,1,3,2,6,1]
[2,6,1,5,2,3]=>[5,1,2,4,1,6]
[2,6,1,5,3,2]=>[5,1,2,3,6,1]
[2,6,2,1,3,5]=>[4,1,3,1,5,2]
[2,6,2,1,5,3]=>[4,1,2,1,5,3]
[2,6,2,3,1,5]=>[4,2,3,2,5,1]
[2,6,2,3,5,1]=>[4,3,2,3,1,5]
[2,6,2,5,1,3]=>[4,2,1,2,3,5]
[2,6,2,5,3,1]=>[4,3,1,3,2,5]
[2,6,3,1,2,5]=>[5,2,4,2,6,1]
[2,6,3,1,5,2]=>[5,2,3,1,6,2]
[2,6,3,2,1,5]=>[3,1,2,1,4,6]
[2,6,3,2,5,1]=>[3,2,1,2,6,4]
[2,6,3,5,1,2]=>[5,3,2,1,6,3]
[2,6,3,5,2,1]=>[2,1,6,5,3,1]
[2,6,5,1,2,3]=>[5,2,1,4,2,6]
[2,6,5,1,3,2]=>[5,2,1,3,6,2]
[2,6,5,2,1,3]=>[3,1,6,2,1,4]
[2,6,5,2,3,1]=>[3,2,6,1,2,4]
[2,6,5,3,1,2]=>[5,3,1,2,6,3]
[2,6,5,3,2,1]=>[2,1,5,6,3,1]
[3,1,2,2,5,6]=>[1,3,3,4,2,6]
[3,1,2,2,6,5]=>[2,4,4,5,3,1]
[3,1,2,5,2,6]=>[1,3,3,4,2,5]
[3,1,2,5,6,2]=>[1,3,5,2,4,3]
[3,1,2,6,2,5]=>[2,4,1,4,5,3]
[3,1,2,6,5,2]=>[1,3,6,2,4,3]
[3,1,5,2,2,6]=>[1,3,3,5,2,4]
[3,1,5,2,6,2]=>[1,3,4,2,5,3]
[3,1,5,6,2,2]=>[1,3,4,2,6,3]
[3,1,6,2,2,5]=>[2,4,1,4,6,3]
[3,1,6,2,5,2]=>[1,3,6,2,5,3]
[3,1,6,5,2,2]=>[1,3,5,2,6,3]
[3,2,1,2,5,6]=>[1,4,4,3,2,6]
[3,2,1,2,6,5]=>[2,5,5,4,3,1]
[3,2,1,5,2,6]=>[1,4,4,3,2,5]
[3,2,1,5,6,2]=>[1,4,5,2,3,4]
[3,2,1,6,2,5]=>[2,5,1,5,4,3]
[3,2,1,6,5,2]=>[1,4,6,2,3,4]
[3,2,2,1,5,6]=>[4,1,1,6,5,2]
[3,2,2,1,6,5]=>[4,1,1,6,5,3]
[3,2,2,5,1,6]=>[4,2,2,6,5,1]
[3,2,2,5,6,1]=>[2,1,1,6,3,4]
[3,2,2,6,1,5]=>[3,1,1,2,5,4]
[3,2,2,6,5,1]=>[3,2,2,1,4,5]
[3,2,5,1,2,6]=>[1,5,5,3,2,4]
[3,2,5,1,6,2]=>[1,5,4,2,3,5]
[3,2,5,2,1,6]=>[3,1,1,5,4,6]
[3,2,5,2,6,1]=>[2,1,1,5,3,4]
[3,2,5,6,1,2]=>[3,1,6,4,5,1]
[3,2,5,6,2,1]=>[2,1,5,3,4,1]
[3,2,6,1,2,5]=>[4,1,3,1,6,5]
[3,2,6,1,5,2]=>[4,1,2,5,6,1]
[3,2,6,2,1,5]=>[3,1,2,1,5,4]
[3,2,6,2,5,1]=>[3,2,1,2,4,5]
[3,2,6,5,1,2]=>[4,2,1,5,6,2]
[3,2,6,5,2,1]=>[2,1,6,3,4,1]
[3,5,1,2,2,6]=>[1,4,4,5,2,3]
[3,5,1,2,6,2]=>[1,4,3,2,5,4]
[3,5,1,6,2,2]=>[1,4,3,2,6,4]
[3,5,2,1,2,6]=>[1,5,5,4,2,3]
[3,5,2,1,6,2]=>[1,5,3,2,4,5]
[3,5,2,2,1,6]=>[3,1,1,6,4,5]
[3,5,2,2,6,1]=>[2,1,1,4,3,5]
[3,5,2,6,1,2]=>[3,1,5,4,6,1]
[3,5,2,6,2,1]=>[2,1,4,3,5,1]
[3,5,6,1,2,2]=>[4,1,6,5,2,1]
[3,5,6,2,1,2]=>[4,2,6,5,1,2]
[3,5,6,2,2,1]=>[2,1,4,3,6,1]
[3,6,1,2,2,5]=>[5,1,4,1,2,6]
[3,6,1,2,5,2]=>[5,1,3,6,2,1]
[3,6,1,5,2,2]=>[5,1,2,6,3,1]
[3,6,2,1,2,5]=>[5,2,4,2,1,6]
[3,6,2,1,5,2]=>[5,2,3,6,1,2]
[3,6,2,2,1,5]=>[3,1,2,1,6,4]
[3,6,2,2,5,1]=>[3,2,1,2,4,6]
[3,6,2,5,1,2]=>[5,3,2,6,1,3]
[3,6,2,5,2,1]=>[2,1,6,3,5,1]
[3,6,5,1,2,2]=>[5,2,1,6,3,2]
[3,6,5,2,1,2]=>[5,3,1,6,2,3]
[3,6,5,2,2,1]=>[2,1,5,3,6,1]
[5,1,2,2,3,6]=>[1,3,3,4,6,2]
[5,1,2,2,6,3]=>[2,4,4,5,1,3]
[5,1,2,3,2,6]=>[1,3,3,4,5,2]
[5,1,2,3,6,2]=>[1,3,2,5,4,3]
[5,1,2,6,2,3]=>[2,4,3,1,4,5]
[5,1,2,6,3,2]=>[1,3,2,6,4,3]
[5,1,3,2,2,6]=>[1,3,3,5,4,2]
[5,1,3,2,6,2]=>[1,3,2,4,5,3]
[5,1,3,6,2,2]=>[1,3,2,4,6,3]
[5,1,6,2,2,3]=>[2,4,3,1,4,6]
[5,1,6,2,3,2]=>[1,3,2,6,5,3]
[5,1,6,3,2,2]=>[1,3,2,5,6,3]
[5,2,1,2,3,6]=>[1,4,4,3,6,2]
[5,2,1,2,6,3]=>[2,5,5,4,1,3]
[5,2,1,3,2,6]=>[1,4,4,3,5,2]
[5,2,1,3,6,2]=>[1,4,2,5,3,4]
[5,2,1,6,2,3]=>[2,5,3,1,5,4]
[5,2,1,6,3,2]=>[1,4,2,6,3,4]
[5,2,2,1,3,6]=>[4,1,1,6,2,5]
[5,2,2,1,6,3]=>[4,1,1,6,3,5]
[5,2,2,3,1,6]=>[4,2,2,6,1,5]
[5,2,2,3,6,1]=>[2,1,1,3,6,4]
[5,2,2,6,1,3]=>[3,1,1,4,2,5]
[5,2,2,6,3,1]=>[3,2,2,4,1,5]
[5,2,3,1,2,6]=>[1,5,5,3,4,2]
[5,2,3,1,6,2]=>[1,5,2,4,3,5]
[5,2,3,2,1,6]=>[3,1,1,5,6,4]
[5,2,3,2,6,1]=>[2,1,1,3,5,4]
[5,2,3,6,1,2]=>[3,1,4,6,5,1]
[5,2,3,6,2,1]=>[2,1,3,5,4,1]
[5,2,6,1,2,3]=>[4,1,5,3,1,6]
[5,2,6,1,3,2]=>[4,1,5,2,6,1]
[5,2,6,2,1,3]=>[3,1,4,2,1,5]
[5,2,6,2,3,1]=>[3,2,4,1,2,5]
[5,2,6,3,1,2]=>[4,2,5,1,6,2]
[5,2,6,3,2,1]=>[2,1,3,6,4,1]
[5,3,1,2,2,6]=>[1,4,4,5,3,2]
[5,3,1,2,6,2]=>[1,4,2,3,5,4]
[5,3,1,6,2,2]=>[1,4,2,3,6,4]
[5,3,2,1,2,6]=>[1,5,5,4,3,2]
[5,3,2,1,6,2]=>[1,5,2,3,4,5]
[5,3,2,2,1,6]=>[3,1,1,6,5,4]
[5,3,2,2,6,1]=>[2,1,1,3,4,5]
[5,3,2,6,1,2]=>[3,1,4,5,6,1]
[5,3,2,6,2,1]=>[2,1,3,4,5,1]
[5,3,6,1,2,2]=>[4,1,5,6,2,1]
[5,3,6,2,1,2]=>[4,2,5,6,1,2]
[5,3,6,2,2,1]=>[2,1,3,4,6,1]
[5,6,1,2,2,3]=>[5,1,6,4,1,2]
[5,6,1,2,3,2]=>[5,1,6,3,2,1]
[5,6,1,3,2,2]=>[5,1,6,2,3,1]
[5,6,2,1,2,3]=>[5,2,6,4,2,1]
[5,6,2,1,3,2]=>[5,2,6,3,1,2]
[5,6,2,2,1,3]=>[3,1,4,2,1,6]
[5,6,2,2,3,1]=>[3,2,4,1,2,6]
[5,6,2,3,1,2]=>[5,3,6,2,1,3]
[5,6,2,3,2,1]=>[2,1,3,6,5,1]
[5,6,3,1,2,2]=>[5,2,6,1,3,2]
[5,6,3,2,1,2]=>[5,3,6,1,2,3]
[5,6,3,2,2,1]=>[2,1,3,5,6,1]
[6,1,2,2,3,5]=>[6,1,5,1,2,4]
[6,1,2,2,5,3]=>[6,1,4,1,2,5]
[6,1,2,3,2,5]=>[6,1,5,1,2,3]
[6,1,2,3,5,2]=>[6,1,4,3,2,1]
[6,1,2,5,2,3]=>[6,1,3,5,1,2]
[6,1,2,5,3,2]=>[6,1,3,4,2,1]
[6,1,3,2,2,5]=>[6,1,5,1,3,2]
[6,1,3,2,5,2]=>[6,1,4,2,3,1]
[6,1,3,5,2,2]=>[6,1,3,2,4,1]
[6,1,5,2,2,3]=>[6,1,2,5,1,3]
[6,1,5,2,3,2]=>[6,1,2,4,3,1]
[6,1,5,3,2,2]=>[6,1,2,3,4,1]
[6,2,1,2,3,5]=>[6,2,5,2,1,4]
[6,2,1,2,5,3]=>[6,2,4,2,1,5]
[6,2,1,3,2,5]=>[6,2,5,2,1,3]
[6,2,1,3,5,2]=>[6,2,4,3,1,2]
[6,2,1,5,2,3]=>[6,2,3,5,2,1]
[6,2,1,5,3,2]=>[6,2,3,4,1,2]
[6,2,2,1,3,5]=>[4,1,3,1,6,2]
[6,2,2,1,5,3]=>[4,1,2,1,6,3]
[6,2,2,3,1,5]=>[4,2,3,2,6,1]
[6,2,2,3,5,1]=>[4,3,2,3,1,6]
[6,2,2,5,1,3]=>[4,2,1,2,3,6]
[6,2,2,5,3,1]=>[4,3,1,3,2,6]
[6,2,3,1,2,5]=>[6,3,5,3,1,2]
[6,2,3,1,5,2]=>[6,3,4,2,1,3]
[6,2,3,2,1,5]=>[3,1,2,1,5,6]
[6,2,3,2,5,1]=>[3,2,1,2,6,5]
[6,2,3,5,1,2]=>[6,4,3,2,1,4]
[6,2,3,5,2,1]=>[2,1,6,5,4,1]
[6,2,5,1,2,3]=>[6,3,2,5,3,1]
[6,2,5,1,3,2]=>[6,3,2,4,1,3]
[6,2,5,2,1,3]=>[3,1,6,2,1,5]
[6,2,5,2,3,1]=>[3,2,6,1,2,5]
[6,2,5,3,1,2]=>[6,4,2,3,1,4]
[6,2,5,3,2,1]=>[2,1,5,6,4,1]
[6,3,1,2,2,5]=>[6,2,5,2,3,1]
[6,3,1,2,5,2]=>[6,2,4,1,3,2]
[6,3,1,5,2,2]=>[6,2,3,1,4,2]
[6,3,2,1,2,5]=>[6,3,5,3,2,1]
[6,3,2,1,5,2]=>[6,3,4,1,2,3]
[6,3,2,2,1,5]=>[3,1,2,1,6,5]
[6,3,2,2,5,1]=>[3,2,1,2,5,6]
[6,3,2,5,1,2]=>[6,4,3,1,2,4]
[6,3,2,5,2,1]=>[2,1,6,4,5,1]
[6,3,5,1,2,2]=>[6,3,2,1,4,3]
[6,3,5,2,1,2]=>[6,4,2,1,3,4]
[6,3,5,2,2,1]=>[2,1,5,4,6,1]
[6,5,1,2,2,3]=>[6,2,1,5,2,3]
[6,5,1,2,3,2]=>[6,2,1,4,3,2]
[6,5,1,3,2,2]=>[6,2,1,3,4,2]
[6,5,2,1,2,3]=>[6,3,1,5,3,2]
[6,5,2,1,3,2]=>[6,3,1,4,2,3]
[6,5,2,2,1,3]=>[3,1,5,2,1,6]
[6,5,2,2,3,1]=>[3,2,5,1,2,6]
[6,5,2,3,1,2]=>[6,4,1,3,2,4]
[6,5,2,3,2,1]=>[2,1,4,6,5,1]
[6,5,3,1,2,2]=>[6,3,1,2,4,3]
[6,5,3,2,1,2]=>[6,4,1,2,3,4]
[6,5,3,2,2,1]=>[2,1,4,5,6,1]
[1,2,2,4,4,4]=>[1,2,2,4,4,4]
[1,2,4,2,4,4]=>[4,5,5,1,1,1]
[1,2,4,4,2,4]=>[3,4,4,1,1,1]
[1,2,4,4,4,2]=>[2,3,3,1,1,1]
[1,4,2,2,4,4]=>[4,5,1,5,1,1]
[1,4,2,4,2,4]=>[3,4,1,4,1,1]
[1,4,2,4,4,2]=>[2,3,1,3,1,1]
[1,4,4,2,2,4]=>[3,4,1,1,4,1]
[1,4,4,2,4,2]=>[2,3,1,1,3,1]
[1,4,4,4,2,2]=>[2,3,1,1,1,3]
[2,1,2,4,4,4]=>[6,1,1,2,2,2]
[2,1,4,2,4,4]=>[6,1,1,3,3,3]
[2,1,4,4,2,4]=>[3,5,5,1,1,1]
[2,1,4,4,4,2]=>[2,4,4,1,1,1]
[2,2,1,4,4,4]=>[6,2,2,1,1,1]
[2,2,4,1,4,4]=>[6,3,3,1,1,1]
[2,2,4,4,1,4]=>[6,4,4,1,1,1]
[2,2,4,4,4,1]=>[2,1,1,4,4,4]
[2,4,1,2,4,4]=>[5,1,1,2,2,2]
[2,4,1,4,2,4]=>[5,1,1,3,3,3]
[2,4,1,4,4,2]=>[2,5,5,1,1,1]
[2,4,2,1,4,4]=>[5,2,2,1,1,1]
[2,4,2,4,1,4]=>[5,3,3,1,1,1]
[2,4,2,4,4,1]=>[5,4,4,1,1,1]
[2,4,4,1,2,4]=>[4,1,1,2,2,2]
[2,4,4,1,4,2]=>[4,1,1,3,3,3]
[2,4,4,2,1,4]=>[4,2,2,1,1,1]
[2,4,4,2,4,1]=>[4,3,3,1,1,1]
[2,4,4,4,1,2]=>[3,1,1,2,2,2]
[2,4,4,4,2,1]=>[3,2,2,1,1,1]
[4,1,2,2,4,4]=>[6,1,3,1,3,3]
[4,1,2,4,2,4]=>[3,5,1,5,1,1]
[4,1,2,4,4,2]=>[2,4,1,4,1,1]
[4,1,4,2,2,4]=>[3,5,1,1,5,1]
[4,1,4,2,4,2]=>[2,4,1,1,4,1]
[4,1,4,4,2,2]=>[2,4,1,1,1,4]
[4,2,1,2,4,4]=>[5,1,2,1,2,2]
[4,2,1,4,2,4]=>[5,1,3,1,3,3]
[4,2,1,4,4,2]=>[2,5,1,5,1,1]
[4,2,2,1,4,4]=>[5,2,1,2,1,1]
[4,2,2,4,1,4]=>[5,3,1,3,1,1]
[4,2,2,4,4,1]=>[5,4,1,4,1,1]
[4,2,4,1,2,4]=>[4,1,2,1,2,2]
[4,2,4,1,4,2]=>[4,1,3,1,3,3]
[4,2,4,2,1,4]=>[4,2,1,2,1,1]
[4,2,4,2,4,1]=>[4,3,1,3,1,1]
[4,2,4,4,1,2]=>[3,1,2,1,2,2]
[4,2,4,4,2,1]=>[3,2,1,2,1,1]
[4,4,1,2,2,4]=>[5,1,3,3,1,3]
[4,4,1,2,4,2]=>[2,5,1,1,5,1]
[4,4,1,4,2,2]=>[2,5,1,1,1,5]
[4,4,2,1,2,4]=>[4,1,2,2,1,2]
[4,4,2,1,4,2]=>[4,1,3,3,1,3]
[4,4,2,2,1,4]=>[4,2,1,1,2,1]
[4,4,2,2,4,1]=>[4,3,1,1,3,1]
[4,4,2,4,1,2]=>[3,1,2,2,1,2]
[4,4,2,4,2,1]=>[3,2,1,1,2,1]
[4,4,4,1,2,2]=>[4,1,3,3,3,1]
[4,4,4,2,1,2]=>[3,1,2,2,2,1]
[4,4,4,2,2,1]=>[3,2,1,1,1,2]
[1,2,2,4,4,5]=>[1,2,2,4,4,5]
[1,2,2,4,5,4]=>[1,2,2,4,5,4]
[1,2,2,5,4,4]=>[1,2,2,4,6,4]
[1,2,4,2,4,5]=>[1,2,2,5,5,4]
[1,2,4,2,5,4]=>[1,2,2,5,4,5]
[1,2,4,4,2,5]=>[3,4,4,1,1,6]
[1,2,4,4,5,2]=>[2,3,3,1,1,5]
[1,2,4,5,2,4]=>[3,4,4,1,6,1]
[1,2,4,5,4,2]=>[2,3,3,1,5,1]
[1,2,5,2,4,4]=>[4,5,5,1,2,1]
[1,2,5,4,2,4]=>[4,5,5,2,1,2]
[1,2,5,4,4,2]=>[2,3,3,1,6,1]
[1,4,2,2,4,5]=>[1,2,2,5,5,3]
[1,4,2,2,5,4]=>[1,2,2,5,3,5]
[1,4,2,4,2,5]=>[3,4,4,1,1,5]
[1,4,2,4,5,2]=>[2,3,3,1,1,4]
[1,4,2,5,2,4]=>[3,4,4,1,5,1]
[1,4,2,5,4,2]=>[2,3,3,1,4,1]
[1,4,4,2,2,5]=>[3,4,1,4,1,5]
[1,4,4,2,5,2]=>[2,3,1,3,1,4]
[1,4,4,5,2,2]=>[2,3,1,4,1,3]
[1,4,5,2,2,4]=>[3,4,5,1,4,1]
[1,4,5,2,4,2]=>[2,3,4,1,3,1]
[1,4,5,4,2,2]=>[2,3,4,1,1,3]
[1,5,2,2,4,4]=>[4,5,2,5,1,1]
[1,5,2,4,2,4]=>[4,5,1,5,2,2]
[1,5,2,4,4,2]=>[2,3,6,3,1,1]
[1,5,4,2,2,4]=>[3,4,6,1,4,1]
[1,5,4,2,4,2]=>[2,3,5,1,3,1]
[1,5,4,4,2,2]=>[2,3,5,1,1,3]
[2,1,2,4,4,5]=>[6,1,1,2,2,3]
[2,1,2,4,5,4]=>[6,1,1,2,3,2]
[2,1,2,5,4,4]=>[6,1,1,2,4,2]
[2,1,4,2,4,5]=>[6,1,1,3,3,2]
[2,1,4,2,5,4]=>[6,1,1,3,2,3]
[2,1,4,4,2,5]=>[6,1,1,4,4,2]
[2,1,4,4,5,2]=>[2,4,4,1,1,5]
[2,1,4,5,2,4]=>[6,1,1,4,2,4]
[2,1,4,5,4,2]=>[2,4,4,1,5,1]
[2,1,5,2,4,4]=>[6,1,1,3,4,3]
[2,1,5,4,2,4]=>[6,1,1,4,3,4]
[2,1,5,4,4,2]=>[2,4,4,1,6,1]
[2,2,1,4,4,5]=>[6,2,2,1,1,3]
[2,2,1,4,5,4]=>[6,2,2,1,3,1]
[2,2,1,5,4,4]=>[6,2,2,1,4,1]
[2,2,4,1,4,5]=>[6,3,3,1,1,2]
[2,2,4,1,5,4]=>[6,3,3,1,2,1]
[2,2,4,4,1,5]=>[6,4,4,1,1,2]
[2,2,4,4,5,1]=>[2,1,1,4,5,4]
[2,2,4,5,1,4]=>[6,4,4,2,1,1]
[2,2,4,5,4,1]=>[2,1,1,5,4,4]
[2,2,5,1,4,4]=>[6,3,3,4,1,1]
[2,2,5,4,1,4]=>[6,4,4,3,1,1]
[2,2,5,4,4,1]=>[2,1,1,6,4,4]
[2,4,1,2,4,5]=>[6,2,2,3,3,1]
[2,4,1,2,5,4]=>[6,2,2,3,1,3]
[2,4,1,4,2,5]=>[6,2,2,4,4,1]
[2,4,1,4,5,2]=>[2,5,5,1,1,4]
[2,4,1,5,2,4]=>[6,2,2,4,1,4]
[2,4,1,5,4,2]=>[2,5,5,1,4,1]
[2,4,2,1,4,5]=>[6,3,3,2,2,1]
[2,4,2,1,5,4]=>[6,3,3,2,1,2]
[2,4,2,4,1,5]=>[6,4,4,2,2,1]
[2,4,2,4,5,1]=>[2,1,1,5,4,5]
[2,4,2,5,1,4]=>[6,4,4,1,2,2]
[2,4,2,5,4,1]=>[2,1,1,4,5,5]
[2,4,4,1,2,5]=>[4,1,1,2,2,6]
[2,4,4,1,5,2]=>[4,1,1,3,3,6]
[2,4,4,2,1,5]=>[4,2,2,1,1,6]
[2,4,4,2,5,1]=>[4,3,3,1,6,1]
[2,4,4,5,1,2]=>[3,1,1,2,5,2]
[2,4,4,5,2,1]=>[3,2,2,1,5,1]
[2,4,5,1,2,4]=>[4,1,1,6,2,2]
[2,4,5,1,4,2]=>[4,1,1,6,3,3]
[2,4,5,2,1,4]=>[4,2,2,6,1,1]
[2,4,5,2,4,1]=>[4,3,3,6,1,1]
[2,4,5,4,1,2]=>[3,1,1,5,2,2]
[2,4,5,4,2,1]=>[3,2,2,5,1,1]
[2,5,1,2,4,4]=>[5,1,1,3,2,2]
[2,5,1,4,2,4]=>[5,1,1,2,3,3]
[2,5,1,4,4,2]=>[5,1,1,2,4,4]
[2,5,2,1,4,4]=>[5,2,2,3,1,1]
[2,5,2,4,1,4]=>[5,3,3,2,1,1]
[2,5,2,4,4,1]=>[5,4,4,2,1,1]
[2,5,4,1,2,4]=>[5,2,2,1,3,3]
[2,5,4,1,4,2]=>[5,2,2,1,4,4]
[2,5,4,2,1,4]=>[5,3,3,1,2,2]
[2,5,4,2,4,1]=>[5,4,4,1,2,2]
[2,5,4,4,1,2]=>[3,1,1,6,2,2]
[2,5,4,4,2,1]=>[3,2,2,6,1,1]
[4,1,2,2,4,5]=>[1,3,3,5,5,2]
[4,1,2,2,5,4]=>[1,3,3,5,2,5]
[4,1,2,4,2,5]=>[3,5,5,1,1,4]
[4,1,2,4,5,2]=>[2,4,4,1,1,3]
[4,1,2,5,2,4]=>[3,5,5,1,4,1]
[4,1,2,5,4,2]=>[2,4,4,1,3,1]
[4,1,4,2,2,5]=>[3,5,1,5,1,4]
[4,1,4,2,5,2]=>[2,4,1,4,1,3]
[4,1,4,5,2,2]=>[2,4,1,3,1,4]
[4,1,5,2,2,4]=>[3,5,4,1,5,1]
[4,1,5,2,4,2]=>[2,4,3,1,4,1]
[4,1,5,4,2,2]=>[2,4,3,1,1,4]
[4,2,1,2,4,5]=>[5,1,1,2,2,6]
[4,2,1,2,5,4]=>[5,1,1,2,6,2]
[4,2,1,4,2,5]=>[5,1,1,3,3,6]
[4,2,1,4,5,2]=>[2,5,5,1,1,3]
[4,2,1,5,2,4]=>[5,1,1,3,6,3]
[4,2,1,5,4,2]=>[2,5,5,1,3,1]
[4,2,2,1,4,5]=>[5,2,2,1,1,6]
[4,2,2,1,5,4]=>[5,2,2,1,6,1]
[4,2,2,4,1,5]=>[5,3,3,1,1,6]
[4,2,2,4,5,1]=>[2,1,1,5,3,5]
[4,2,2,5,1,4]=>[5,3,3,6,1,1]
[4,2,2,5,4,1]=>[2,1,1,3,5,5]
[4,2,4,1,2,5]=>[4,1,1,2,2,5]
[4,2,4,1,5,2]=>[4,1,1,3,3,5]
[4,2,4,2,1,5]=>[4,2,2,1,1,5]
[4,2,4,2,5,1]=>[4,3,3,1,5,1]
[4,2,4,5,1,2]=>[3,1,1,2,4,2]
[4,2,4,5,2,1]=>[3,2,2,1,4,1]
[4,2,5,1,2,4]=>[4,1,1,5,2,2]
[4,2,5,1,4,2]=>[4,1,1,5,3,3]
[4,2,5,2,1,4]=>[4,2,2,5,1,1]
[4,2,5,2,4,1]=>[4,3,3,5,1,1]
[4,2,5,4,1,2]=>[3,1,1,4,2,2]
[4,2,5,4,2,1]=>[3,2,2,4,1,1]
[4,4,1,2,2,5]=>[5,1,3,1,3,6]
[4,4,1,2,5,2]=>[2,5,1,5,1,3]
[4,4,1,5,2,2]=>[2,5,1,3,1,5]
[4,4,2,1,2,5]=>[4,1,2,1,2,5]
[4,4,2,1,5,2]=>[4,1,3,1,3,5]
[4,4,2,2,1,5]=>[4,2,1,2,1,5]
[4,4,2,2,5,1]=>[4,3,1,3,5,1]
[4,4,2,5,1,2]=>[3,1,2,1,4,2]
[4,4,2,5,2,1]=>[3,2,1,2,4,1]
[4,4,5,1,2,2]=>[4,1,3,5,3,1]
[4,4,5,2,1,2]=>[3,1,2,4,2,1]
[4,4,5,2,2,1]=>[3,2,1,4,1,2]
[4,5,1,2,2,4]=>[5,1,6,3,1,3]
[4,5,1,2,4,2]=>[2,5,3,1,5,1]
[4,5,1,4,2,2]=>[2,5,3,1,1,5]
[4,5,2,1,2,4]=>[4,1,5,2,1,2]
[4,5,2,1,4,2]=>[4,1,5,3,1,3]
[4,5,2,2,1,4]=>[4,2,5,1,2,1]
[4,5,2,2,4,1]=>[4,3,5,1,3,1]
[4,5,2,4,1,2]=>[3,1,4,2,1,2]
[4,5,2,4,2,1]=>[3,2,4,1,2,1]
[4,5,4,1,2,2]=>[4,1,5,3,3,1]
[4,5,4,2,1,2]=>[3,1,4,2,2,1]
[4,5,4,2,2,1]=>[3,2,4,1,1,2]
[5,1,2,2,4,4]=>[6,1,4,1,3,3]
[5,1,2,4,2,4]=>[6,1,3,1,4,4]
[5,1,2,4,4,2]=>[2,4,6,4,1,1]
[5,1,4,2,2,4]=>[6,1,2,4,1,4]
[5,1,4,2,4,2]=>[2,4,5,1,4,1]
[5,1,4,4,2,2]=>[2,4,5,1,1,4]
[5,2,1,2,4,4]=>[5,1,3,1,2,2]
[5,2,1,4,2,4]=>[5,1,2,1,3,3]
[5,2,1,4,4,2]=>[5,1,2,1,4,4]
[5,2,2,1,4,4]=>[5,2,3,2,1,1]
[5,2,2,4,1,4]=>[5,3,2,3,1,1]
[5,2,2,4,4,1]=>[5,4,2,4,1,1]
[5,2,4,1,2,4]=>[5,2,1,2,3,3]
[5,2,4,1,4,2]=>[5,2,1,2,4,4]
[5,2,4,2,1,4]=>[5,3,1,3,2,2]
[5,2,4,2,4,1]=>[5,4,1,4,2,2]
[5,2,4,4,1,2]=>[3,1,6,1,2,2]
[5,2,4,4,2,1]=>[3,2,6,2,1,1]
[5,4,1,2,2,4]=>[6,2,1,4,2,4]
[5,4,1,2,4,2]=>[2,5,4,1,5,1]
[5,4,1,4,2,2]=>[2,5,4,1,1,5]
[5,4,2,1,2,4]=>[4,1,6,2,1,2]
[5,4,2,1,4,2]=>[4,1,6,3,1,3]
[5,4,2,2,1,4]=>[4,2,6,1,2,1]
[5,4,2,2,4,1]=>[4,3,6,1,3,1]
[5,4,2,4,1,2]=>[3,1,5,2,1,2]
[5,4,2,4,2,1]=>[3,2,5,1,2,1]
[5,4,4,1,2,2]=>[4,1,6,3,3,1]
[5,4,4,2,1,2]=>[3,1,5,2,2,1]
[5,4,4,2,2,1]=>[3,2,5,1,1,2]
[1,2,2,4,4,6]=>[1,2,2,4,4,6]
[1,2,2,4,6,4]=>[2,3,3,5,5,1]
[1,2,2,6,4,4]=>[2,3,3,5,1,5]
[1,2,4,2,4,6]=>[4,5,5,1,1,2]
[1,2,4,2,6,4]=>[4,5,5,1,1,3]
[1,2,4,4,2,6]=>[4,5,5,2,2,1]
[1,2,4,4,6,2]=>[2,3,3,1,1,6]
[1,2,4,6,2,4]=>[3,4,4,1,1,2]
[1,2,4,6,4,2]=>[3,4,4,2,2,1]
[1,2,6,2,4,4]=>[4,5,5,1,3,1]
[1,2,6,4,2,4]=>[3,4,4,1,2,1]
[1,2,6,4,4,2]=>[3,4,4,2,1,2]
[1,4,2,2,4,6]=>[4,5,1,5,1,2]
[1,4,2,2,6,4]=>[4,5,1,5,1,3]
[1,4,2,4,2,6]=>[4,5,2,5,2,1]
[1,4,2,4,6,2]=>[2,3,1,3,1,6]
[1,4,2,6,2,4]=>[3,4,1,4,1,2]
[1,4,2,6,4,2]=>[3,4,2,4,2,1]
[1,4,4,2,2,6]=>[3,4,1,4,1,6]
[1,4,4,2,6,2]=>[2,3,1,3,1,5]
[1,4,4,6,2,2]=>[2,3,1,5,1,3]
[1,4,6,2,2,4]=>[3,4,1,2,4,1]
[1,4,6,2,4,2]=>[3,4,2,1,4,2]
[1,4,6,4,2,2]=>[2,3,1,6,1,3]
[1,6,2,2,4,4]=>[4,5,3,5,1,1]
[1,6,2,4,2,4]=>[3,4,2,4,1,1]
[1,6,2,4,4,2]=>[3,4,1,4,2,2]
[1,6,4,2,2,4]=>[3,4,2,1,4,1]
[1,6,4,2,4,2]=>[3,4,1,2,4,2]
[1,6,4,4,2,2]=>[2,3,6,1,1,3]
[2,1,2,4,4,6]=>[6,1,1,2,2,4]
[2,1,2,4,6,4]=>[6,1,1,2,2,5]
[2,1,2,6,4,4]=>[6,1,1,2,5,2]
[2,1,4,2,4,6]=>[6,1,1,3,3,4]
[2,1,4,2,6,4]=>[6,1,1,3,3,5]
[2,1,4,4,2,6]=>[6,1,1,4,4,3]
[2,1,4,4,6,2]=>[2,4,4,1,1,6]
[2,1,4,6,2,4]=>[3,5,5,1,1,2]
[2,1,4,6,4,2]=>[3,5,5,2,2,1]
[2,1,6,2,4,4]=>[6,1,1,3,5,3]
[2,1,6,4,2,4]=>[3,5,5,1,2,1]
[2,1,6,4,4,2]=>[3,5,5,2,1,2]
[2,2,1,4,4,6]=>[6,2,2,1,1,4]
[2,2,1,4,6,4]=>[6,2,2,1,1,5]
[2,2,1,6,4,4]=>[6,2,2,1,5,1]
[2,2,4,1,4,6]=>[6,3,3,1,1,4]
[2,2,4,1,6,4]=>[6,3,3,1,1,5]
[2,2,4,4,1,6]=>[6,4,4,1,1,3]
[2,2,4,4,6,1]=>[2,1,1,4,6,4]
[2,2,4,6,1,4]=>[3,1,1,5,2,5]
[2,2,4,6,4,1]=>[3,2,2,5,1,5]
[2,2,6,1,4,4]=>[6,3,3,5,1,1]
[2,2,6,4,1,4]=>[3,1,1,2,5,5]
[2,2,6,4,4,1]=>[3,2,2,1,5,5]
[2,4,1,2,4,6]=>[5,1,1,2,2,3]
[2,4,1,2,6,4]=>[5,1,1,2,2,4]
[2,4,1,4,2,6]=>[5,1,1,3,3,2]
[2,4,1,4,6,2]=>[5,1,1,4,4,2]
[2,4,1,6,2,4]=>[5,1,1,3,3,4]
[2,4,1,6,4,2]=>[5,1,1,4,4,3]
[2,4,2,1,4,6]=>[5,2,2,1,1,3]
[2,4,2,1,6,4]=>[5,2,2,1,1,4]
[2,4,2,4,1,6]=>[5,3,3,1,1,2]
[2,4,2,4,6,1]=>[5,4,4,1,2,1]
[2,4,2,6,1,4]=>[5,3,3,1,4,1]
[2,4,2,6,4,1]=>[5,4,4,1,3,1]
[2,4,4,1,2,6]=>[5,2,2,3,3,1]
[2,4,4,1,6,2]=>[5,2,2,4,4,1]
[2,4,4,2,1,6]=>[5,3,3,2,2,1]
[2,4,4,2,6,1]=>[5,4,4,2,1,2]
[2,4,4,6,1,2]=>[3,1,1,2,6,2]
[2,4,4,6,2,1]=>[3,2,2,1,6,1]
[2,4,6,1,2,4]=>[4,1,1,2,3,2]
[2,4,6,1,4,2]=>[4,1,1,3,2,3]
[2,4,6,2,1,4]=>[4,2,2,1,3,1]
[2,4,6,2,4,1]=>[4,3,3,1,2,1]
[2,4,6,4,1,2]=>[4,2,2,3,1,3]
[2,4,6,4,2,1]=>[4,3,3,2,1,2]
[2,6,1,2,4,4]=>[5,1,1,4,2,2]
[2,6,1,4,2,4]=>[5,1,1,4,3,3]
[2,6,1,4,4,2]=>[5,1,1,3,4,4]
[2,6,2,1,4,4]=>[5,2,2,4,1,1]
[2,6,2,4,1,4]=>[5,3,3,4,1,1]
[2,6,2,4,4,1]=>[5,4,4,3,1,1]
[2,6,4,1,2,4]=>[4,1,1,3,2,2]
[2,6,4,1,4,2]=>[4,1,1,2,3,3]
[2,6,4,2,1,4]=>[4,2,2,3,1,1]
[2,6,4,2,4,1]=>[4,3,3,2,1,1]
[2,6,4,4,1,2]=>[4,2,2,1,3,3]
[2,6,4,4,2,1]=>[4,3,3,1,2,2]
[4,1,2,2,4,6]=>[6,1,3,1,3,4]
[4,1,2,2,6,4]=>[6,1,3,1,3,5]
[4,1,2,4,2,6]=>[6,1,4,1,4,3]
[4,1,2,4,6,2]=>[2,4,1,4,1,6]
[4,1,2,6,2,4]=>[3,5,1,5,1,2]
[4,1,2,6,4,2]=>[3,5,2,5,2,1]
[4,1,4,2,2,6]=>[6,1,4,1,4,2]
[4,1,4,2,6,2]=>[2,4,1,4,1,5]
[4,1,4,6,2,2]=>[2,4,1,5,1,4]
[4,1,6,2,2,4]=>[3,5,1,2,5,1]
[4,1,6,2,4,2]=>[3,5,2,1,5,2]
[4,1,6,4,2,2]=>[2,4,1,6,1,4]
[4,2,1,2,4,6]=>[5,1,2,1,2,3]
[4,2,1,2,6,4]=>[5,1,2,1,2,4]
[4,2,1,4,2,6]=>[5,1,3,1,3,2]
[4,2,1,4,6,2]=>[5,1,4,1,4,2]
[4,2,1,6,2,4]=>[5,1,3,1,3,4]
[4,2,1,6,4,2]=>[5,1,4,1,4,3]
[4,2,2,1,4,6]=>[5,2,1,2,1,3]
[4,2,2,1,6,4]=>[5,2,1,2,1,4]
[4,2,2,4,1,6]=>[5,3,1,3,1,2]
[4,2,2,4,6,1]=>[5,4,1,4,2,1]
[4,2,2,6,1,4]=>[5,3,1,3,4,1]
[4,2,2,6,4,1]=>[5,4,1,4,3,1]
[4,2,4,1,2,6]=>[5,2,3,2,3,1]
[4,2,4,1,6,2]=>[5,2,4,2,4,1]
[4,2,4,2,1,6]=>[5,3,2,3,2,1]
[4,2,4,2,6,1]=>[5,4,2,4,1,2]
[4,2,4,6,1,2]=>[3,1,2,1,6,2]
[4,2,4,6,2,1]=>[3,2,1,2,6,1]
[4,2,6,1,2,4]=>[4,1,2,1,3,2]
[4,2,6,1,4,2]=>[4,1,3,1,2,3]
[4,2,6,2,1,4]=>[4,2,1,2,3,1]
[4,2,6,2,4,1]=>[4,3,1,3,2,1]
[4,2,6,4,1,2]=>[4,2,3,2,1,3]
[4,2,6,4,2,1]=>[4,3,2,3,1,2]
[4,4,1,2,2,6]=>[6,2,4,2,4,1]
[4,4,1,2,6,2]=>[2,5,1,5,1,4]
[4,4,1,6,2,2]=>[2,5,1,4,1,5]
[4,4,2,1,2,6]=>[4,1,2,1,2,6]
[4,4,2,1,6,2]=>[4,1,3,1,3,6]
[4,4,2,2,1,6]=>[4,2,1,2,1,6]
[4,4,2,2,6,1]=>[4,3,1,3,6,1]
[4,4,2,6,1,2]=>[3,1,2,1,5,2]
[4,4,2,6,2,1]=>[3,2,1,2,5,1]
[4,4,6,1,2,2]=>[4,1,3,6,3,1]
[4,4,6,2,1,2]=>[3,1,2,5,2,1]
[4,4,6,2,2,1]=>[3,2,1,5,1,2]
[4,6,1,2,2,4]=>[5,1,3,4,1,3]
[4,6,1,2,4,2]=>[5,1,4,3,1,4]
[4,6,1,4,2,2]=>[5,1,4,2,4,1]
[4,6,2,1,2,4]=>[4,1,2,3,1,2]
[4,6,2,1,4,2]=>[4,1,3,2,1,3]
[4,6,2,2,1,4]=>[4,2,1,3,2,1]
[4,6,2,2,4,1]=>[4,3,1,2,3,1]
[4,6,2,4,1,2]=>[4,2,3,1,2,3]
[4,6,2,4,2,1]=>[4,3,2,1,3,2]
[4,6,4,1,2,2]=>[5,2,4,1,4,2]
[4,6,4,2,1,2]=>[3,1,2,6,2,1]
[4,6,4,2,2,1]=>[3,2,1,6,1,2]
[6,1,2,2,4,4]=>[6,1,5,1,3,3]
[6,1,2,4,2,4]=>[3,5,2,5,1,1]
[6,1,2,4,4,2]=>[3,5,1,5,2,2]
[6,1,4,2,2,4]=>[3,5,2,1,5,1]
[6,1,4,2,4,2]=>[3,5,1,2,5,2]
[6,1,4,4,2,2]=>[2,4,6,1,1,4]
[6,2,1,2,4,4]=>[5,1,4,1,2,2]
[6,2,1,4,2,4]=>[5,1,4,1,3,3]
[6,2,1,4,4,2]=>[5,1,3,1,4,4]
[6,2,2,1,4,4]=>[5,2,4,2,1,1]
[6,2,2,4,1,4]=>[5,3,4,3,1,1]
[6,2,2,4,4,1]=>[5,4,3,4,1,1]
[6,2,4,1,2,4]=>[4,1,3,1,2,2]
[6,2,4,1,4,2]=>[4,1,2,1,3,3]
[6,2,4,2,1,4]=>[4,2,3,2,1,1]
[6,2,4,2,4,1]=>[4,3,2,3,1,1]
[6,2,4,4,1,2]=>[4,2,1,2,3,3]
[6,2,4,4,2,1]=>[4,3,1,3,2,2]
[6,4,1,2,2,4]=>[5,1,4,3,1,3]
[6,4,1,2,4,2]=>[5,1,3,4,1,4]
[6,4,1,4,2,2]=>[5,1,2,4,4,1]
[6,4,2,1,2,4]=>[4,1,3,2,1,2]
[6,4,2,1,4,2]=>[4,1,2,3,1,3]
[6,4,2,2,1,4]=>[4,2,3,1,2,1]
[6,4,2,2,4,1]=>[4,3,2,1,3,1]
[6,4,2,4,1,2]=>[4,2,1,3,2,3]
[6,4,2,4,2,1]=>[4,3,1,2,3,2]
[6,4,4,1,2,2]=>[5,2,1,4,4,2]
[6,4,4,2,1,2]=>[3,1,6,2,2,1]
[6,4,4,2,2,1]=>[3,2,6,1,1,2]
[1,2,2,4,5,5]=>[1,2,2,4,5,5]
[1,2,2,5,4,5]=>[3,4,4,6,1,1]
[1,2,2,5,5,4]=>[2,3,3,5,1,1]
[1,2,4,2,5,5]=>[1,2,2,5,4,4]
[1,2,4,5,2,5]=>[1,2,2,6,4,4]
[1,2,4,5,5,2]=>[2,3,3,1,5,5]
[1,2,5,2,4,5]=>[4,5,5,1,2,2]
[1,2,5,2,5,4]=>[2,3,3,6,1,1]
[1,2,5,4,2,5]=>[4,5,5,2,1,1]
[1,2,5,4,5,2]=>[4,5,5,3,1,1]
[1,2,5,5,2,4]=>[3,4,4,1,2,2]
[1,2,5,5,4,2]=>[3,4,4,2,1,1]
[1,4,2,2,5,5]=>[1,2,2,5,3,3]
[1,4,2,5,2,5]=>[1,2,2,6,3,3]
[1,4,2,5,5,2]=>[2,3,3,1,4,4]
[1,4,5,2,2,5]=>[1,2,3,2,6,3]
[1,4,5,2,5,2]=>[2,3,4,3,1,4]
[1,4,5,5,2,2]=>[2,3,4,4,1,3]
[1,5,2,2,4,5]=>[4,5,2,5,1,2]
[1,5,2,2,5,4]=>[2,3,1,3,6,1]
[1,5,2,4,2,5]=>[4,5,1,5,2,1]
[1,5,2,4,5,2]=>[4,5,1,5,3,1]
[1,5,2,5,2,4]=>[3,4,2,4,1,2]
[1,5,2,5,4,2]=>[3,4,1,4,2,1]
[1,5,4,2,2,5]=>[1,2,4,2,6,4]
[1,5,4,2,5,2]=>[2,3,5,3,1,5]
[1,5,4,5,2,2]=>[2,3,5,5,1,3]
[1,5,5,2,2,4]=>[3,4,2,2,4,1]
[1,5,5,2,4,2]=>[3,4,1,1,4,2]
[1,5,5,4,2,2]=>[4,5,1,1,3,5]
[2,1,2,4,5,5]=>[6,1,1,2,3,3]
[2,1,2,5,4,5]=>[6,1,1,2,4,4]
[2,1,2,5,5,4]=>[2,4,4,5,1,1]
[2,1,4,2,5,5]=>[6,1,1,3,2,2]
[2,1,4,5,2,5]=>[6,1,1,4,2,2]
[2,1,4,5,5,2]=>[6,1,1,5,2,2]
[2,1,5,2,4,5]=>[6,1,1,3,4,4]
[2,1,5,2,5,4]=>[2,4,4,6,1,1]
[2,1,5,4,2,5]=>[6,1,1,4,3,3]
[2,1,5,4,5,2]=>[6,1,1,5,3,3]
[2,1,5,5,2,4]=>[3,5,5,1,2,2]
[2,1,5,5,4,2]=>[3,5,5,2,1,1]
[2,2,1,4,5,5]=>[6,2,2,1,3,3]
[2,2,1,5,4,5]=>[6,2,2,1,4,4]
[2,2,1,5,5,4]=>[2,5,5,4,1,1]
[2,2,4,1,5,5]=>[6,3,3,1,2,2]
[2,2,4,5,1,5]=>[6,4,4,2,1,2]
[2,2,4,5,5,1]=>[2,1,1,5,5,4]
[2,2,5,1,4,5]=>[4,1,1,2,6,2]
[2,2,5,1,5,4]=>[4,1,1,3,6,3]
[2,2,5,4,1,5]=>[4,2,2,1,6,1]
[2,2,5,4,5,1]=>[4,3,3,1,1,6]
[2,2,5,5,1,4]=>[3,1,1,2,2,5]
[2,2,5,5,4,1]=>[3,2,2,1,1,5]
[2,4,1,2,5,5]=>[6,2,2,3,1,1]
[2,4,1,5,2,5]=>[6,2,2,4,1,1]
[2,4,1,5,5,2]=>[6,2,2,5,1,1]
[2,4,2,1,5,5]=>[6,3,3,2,1,1]
[2,4,2,5,1,5]=>[6,4,4,1,2,1]
[2,4,2,5,5,1]=>[2,1,1,4,4,5]
[2,4,5,1,2,5]=>[6,3,3,1,4,1]
[2,4,5,1,5,2]=>[6,3,3,1,5,1]
[2,4,5,2,1,5]=>[6,4,4,1,3,1]
[2,4,5,2,5,1]=>[2,1,1,4,4,6]
[2,4,5,5,1,2]=>[3,1,1,5,5,2]
[2,4,5,5,2,1]=>[3,2,2,5,5,1]
[2,5,1,2,4,5]=>[5,1,1,3,2,3]
[2,5,1,2,5,4]=>[5,1,1,4,2,4]
[2,5,1,4,2,5]=>[5,1,1,2,3,2]
[2,5,1,4,5,2]=>[5,1,1,2,4,2]
[2,5,1,5,2,4]=>[5,1,1,4,3,4]
[2,5,1,5,4,2]=>[5,1,1,3,4,3]
[2,5,2,1,4,5]=>[5,2,2,3,1,3]
[2,5,2,1,5,4]=>[5,2,2,4,1,4]
[2,5,2,4,1,5]=>[5,3,3,2,1,2]
[2,5,2,4,5,1]=>[5,4,4,2,2,1]
[2,5,2,5,1,4]=>[3,1,1,2,2,6]
[2,5,2,5,4,1]=>[3,2,2,1,1,6]
[2,5,4,1,2,5]=>[5,2,2,1,3,1]
[2,5,4,1,5,2]=>[5,2,2,1,4,1]
[2,5,4,2,1,5]=>[5,3,3,1,2,1]
[2,5,4,2,5,1]=>[5,4,4,1,1,2]
[2,5,4,5,1,2]=>[5,3,3,1,1,4]
[2,5,4,5,2,1]=>[5,4,4,1,1,3]
[2,5,5,1,2,4]=>[4,1,1,3,3,2]
[2,5,5,1,4,2]=>[4,1,1,2,2,3]
[2,5,5,2,1,4]=>[4,2,2,3,3,1]
[2,5,5,2,4,1]=>[4,3,3,2,2,1]
[2,5,5,4,1,2]=>[4,2,2,1,1,3]
[2,5,5,4,2,1]=>[4,3,3,1,1,2]
[4,1,2,2,5,5]=>[1,3,3,5,2,2]
[4,1,2,5,2,5]=>[1,3,3,6,2,2]
[4,1,2,5,5,2]=>[2,4,4,1,3,3]
[4,1,5,2,2,5]=>[1,3,2,3,6,2]
[4,1,5,2,5,2]=>[2,4,3,4,1,3]
[4,1,5,5,2,2]=>[2,4,3,3,1,4]
[4,2,1,2,5,5]=>[1,4,4,5,2,2]
[4,2,1,5,2,5]=>[1,4,4,6,2,2]
[4,2,1,5,5,2]=>[2,5,5,1,3,3]
[4,2,2,1,5,5]=>[1,5,5,4,2,2]
[4,2,2,5,1,5]=>[3,1,1,4,6,4]
[4,2,2,5,5,1]=>[2,1,1,3,3,5]
[4,2,5,1,2,5]=>[4,1,1,5,2,5]
[4,2,5,1,5,2]=>[4,1,1,5,3,5]
[4,2,5,2,1,5]=>[4,2,2,5,1,5]
[4,2,5,2,5,1]=>[2,1,1,3,3,6]
[4,2,5,5,1,2]=>[3,1,1,4,4,2]
[4,2,5,5,2,1]=>[3,2,2,4,4,1]
[4,5,1,2,2,5]=>[1,4,2,4,6,2]
[4,5,1,2,5,2]=>[2,5,3,5,1,3]
[4,5,1,5,2,2]=>[2,5,3,3,1,5]
[4,5,2,1,2,5]=>[4,1,5,1,2,5]
[4,5,2,1,5,2]=>[4,1,5,1,3,5]
[4,5,2,2,1,5]=>[4,2,5,2,1,5]
[4,5,2,2,5,1]=>[2,1,3,1,3,6]
[4,5,2,5,1,2]=>[3,1,4,1,4,2]
[4,5,2,5,2,1]=>[3,2,4,2,4,1]
[4,5,5,1,2,2]=>[4,1,5,5,3,1]
[4,5,5,2,1,2]=>[3,1,4,4,2,1]
[4,5,5,2,2,1]=>[3,2,4,4,1,2]
[5,1,2,2,4,5]=>[6,1,4,1,3,4]
[5,1,2,2,5,4]=>[2,4,1,4,6,1]
[5,1,2,4,2,5]=>[6,1,3,1,4,3]
[5,1,2,4,5,2]=>[6,1,3,1,5,3]
[5,1,2,5,2,4]=>[3,5,2,5,1,2]
[5,1,2,5,4,2]=>[3,5,1,5,2,1]
[5,1,4,2,2,5]=>[6,1,2,1,4,2]
[5,1,4,2,5,2]=>[6,1,2,1,5,2]
[5,1,4,5,2,2]=>[6,1,2,2,5,1]
[5,1,5,2,2,4]=>[3,5,2,2,5,1]
[5,1,5,2,4,2]=>[3,5,1,1,5,2]
[5,1,5,4,2,2]=>[6,1,3,3,5,1]
[5,2,1,2,4,5]=>[5,1,3,1,2,3]
[5,2,1,2,5,4]=>[5,1,4,1,2,4]
[5,2,1,4,2,5]=>[5,1,2,1,3,2]
[5,2,1,4,5,2]=>[5,1,2,1,4,2]
[5,2,1,5,2,4]=>[5,1,4,1,3,4]
[5,2,1,5,4,2]=>[5,1,3,1,4,3]
[5,2,2,1,4,5]=>[5,2,3,2,1,3]
[5,2,2,1,5,4]=>[5,2,4,2,1,4]
[5,2,2,4,1,5]=>[5,3,2,3,1,2]
[5,2,2,4,5,1]=>[5,4,2,4,2,1]
[5,2,2,5,1,4]=>[3,1,2,1,2,6]
[5,2,2,5,4,1]=>[3,2,1,2,1,6]
[5,2,4,1,2,5]=>[5,2,1,2,3,1]
[5,2,4,1,5,2]=>[5,2,1,2,4,1]
[5,2,4,2,1,5]=>[5,3,1,3,2,1]
[5,2,4,2,5,1]=>[5,4,1,4,1,2]
[5,2,4,5,1,2]=>[5,3,1,3,1,4]
[5,2,4,5,2,1]=>[5,4,1,4,1,3]
[5,2,5,1,2,4]=>[4,1,3,1,3,2]
[5,2,5,1,4,2]=>[4,1,2,1,2,3]
[5,2,5,2,1,4]=>[4,2,3,2,3,1]
[5,2,5,2,4,1]=>[4,3,2,3,2,1]
[5,2,5,4,1,2]=>[4,2,1,2,1,3]
[5,2,5,4,2,1]=>[4,3,1,3,1,2]
[5,4,1,2,2,5]=>[6,2,1,2,4,1]
[5,4,1,2,5,2]=>[6,2,1,2,5,1]
[5,4,1,5,2,2]=>[6,2,1,1,5,2]
[5,4,2,1,2,5]=>[6,3,1,3,4,1]
[5,4,2,1,5,2]=>[6,3,1,3,5,1]
[5,4,2,2,1,5]=>[6,4,1,4,3,1]
[5,4,2,2,5,1]=>[2,1,4,1,4,6]
[5,4,2,5,1,2]=>[3,1,5,1,5,2]
[5,4,2,5,2,1]=>[3,2,5,2,5,1]
[5,4,5,1,2,2]=>[6,3,1,1,5,3]
[5,4,5,2,1,2]=>[3,1,5,5,2,1]
[5,4,5,2,2,1]=>[3,2,5,5,1,2]
[5,5,1,2,2,4]=>[5,1,4,4,1,3]
[5,5,1,2,4,2]=>[5,1,3,3,1,4]
[5,5,1,4,2,2]=>[5,1,2,2,4,1]
[5,5,2,1,2,4]=>[4,1,3,3,1,2]
[5,5,2,1,4,2]=>[4,1,2,2,1,3]
[5,5,2,2,1,4]=>[4,2,3,3,2,1]
[5,5,2,2,4,1]=>[4,3,2,2,3,1]
[5,5,2,4,1,2]=>[4,2,1,1,2,3]
[5,5,2,4,2,1]=>[4,3,1,1,3,2]
[5,5,4,1,2,2]=>[5,2,1,1,4,2]
[5,5,4,2,1,2]=>[5,3,1,1,4,3]
[5,5,4,2,2,1]=>[5,4,1,1,3,4]
[1,2,2,4,5,6]=>[1,2,2,4,5,6]
[1,2,2,4,6,5]=>[2,3,3,5,6,1]
[1,2,2,5,4,6]=>[1,2,2,4,6,5]
[1,2,2,5,6,4]=>[2,3,3,5,1,6]
[1,2,2,6,4,5]=>[3,4,4,6,1,2]
[1,2,2,6,5,4]=>[3,4,4,6,2,1]
[1,2,4,2,5,6]=>[1,2,2,5,4,6]
[1,2,4,2,6,5]=>[2,3,3,6,5,1]
[1,2,4,5,2,6]=>[1,2,2,6,4,5]
[1,2,4,5,6,2]=>[2,3,3,1,6,5]
[1,2,4,6,2,5]=>[3,4,4,1,2,6]
[1,2,4,6,5,2]=>[3,4,4,2,1,6]
[1,2,5,2,4,6]=>[1,2,2,5,6,4]
[1,2,5,2,6,4]=>[2,3,3,6,1,5]
[1,2,5,4,2,6]=>[1,2,2,6,5,4]
[1,2,5,4,6,2]=>[2,3,3,1,5,6]
[1,2,5,6,2,4]=>[3,4,4,1,6,2]
[1,2,5,6,4,2]=>[3,4,4,2,6,1]
[1,2,6,2,4,5]=>[4,5,5,1,3,2]
[1,2,6,2,5,4]=>[4,5,5,1,2,3]
[1,2,6,4,2,5]=>[4,5,5,2,3,1]
[1,2,6,4,5,2]=>[4,5,5,3,2,1]
[1,2,6,5,2,4]=>[4,5,5,2,1,3]
[1,2,6,5,4,2]=>[4,5,5,3,1,2]
[1,4,2,2,5,6]=>[1,2,2,5,3,6]
[1,4,2,2,6,5]=>[2,3,3,6,4,1]
[1,4,2,5,2,6]=>[1,2,2,6,3,5]
[1,4,2,5,6,2]=>[2,3,3,1,6,4]
[1,4,2,6,2,5]=>[3,4,4,1,2,5]
[1,4,2,6,5,2]=>[3,4,4,2,1,5]
[1,4,5,2,2,6]=>[1,2,2,6,3,4]
[1,4,5,2,6,2]=>[2,3,3,1,5,4]
[1,4,5,6,2,2]=>[2,3,5,4,1,3]
[1,4,6,2,2,5]=>[3,4,2,4,1,5]
[1,4,6,2,5,2]=>[3,4,1,4,2,5]
[1,4,6,5,2,2]=>[2,3,6,4,1,3]
[1,5,2,2,4,6]=>[1,2,2,5,6,3]
[1,5,2,2,6,4]=>[2,3,3,6,1,4]
[1,5,2,4,2,6]=>[1,2,2,6,5,3]
[1,5,2,4,6,2]=>[2,3,3,1,4,6]
[1,5,2,6,2,4]=>[3,4,4,1,5,2]
[1,5,2,6,4,2]=>[3,4,4,2,5,1]
[1,5,4,2,2,6]=>[1,2,2,6,4,3]
[1,5,4,2,6,2]=>[2,3,3,1,4,5]
[1,5,4,6,2,2]=>[2,3,4,5,1,3]
[1,5,6,2,2,4]=>[3,4,5,2,4,1]
[1,5,6,2,4,2]=>[3,4,5,1,4,2]
[1,5,6,4,2,2]=>[2,3,4,6,1,3]
[1,6,2,2,4,5]=>[4,5,3,5,1,2]
[1,6,2,2,5,4]=>[4,5,2,5,1,3]
[1,6,2,4,2,5]=>[4,5,3,5,2,1]
[1,6,2,4,5,2]=>[4,5,2,5,3,1]
[1,6,2,5,2,4]=>[4,5,1,5,2,3]
[1,6,2,5,4,2]=>[4,5,1,5,3,2]
[1,6,4,2,2,5]=>[3,4,2,4,1,6]
[1,6,4,2,5,2]=>[3,4,1,4,2,6]
[1,6,4,5,2,2]=>[2,3,6,5,1,3]
[1,6,5,2,2,4]=>[3,4,6,2,4,1]
[1,6,5,2,4,2]=>[3,4,6,1,4,2]
[1,6,5,4,2,2]=>[2,3,5,6,1,3]
[2,1,2,4,5,6]=>[6,1,1,2,3,4]
[2,1,2,4,6,5]=>[6,1,1,2,3,5]
[2,1,2,5,4,6]=>[6,1,1,2,4,3]
[2,1,2,5,6,4]=>[6,1,1,2,5,3]
[2,1,2,6,4,5]=>[6,1,1,2,4,5]
[2,1,2,6,5,4]=>[6,1,1,2,5,4]
[2,1,4,2,5,6]=>[6,1,1,3,2,4]
[2,1,4,2,6,5]=>[6,1,1,3,2,5]
[2,1,4,5,2,6]=>[6,1,1,4,2,3]
[2,1,4,5,6,2]=>[6,1,1,5,3,2]
[2,1,4,6,2,5]=>[6,1,1,4,5,2]
[2,1,4,6,5,2]=>[6,1,1,5,4,2]
[2,1,5,2,4,6]=>[6,1,1,3,4,2]
[2,1,5,2,6,4]=>[6,1,1,3,5,2]
[2,1,5,4,2,6]=>[6,1,1,4,3,2]
[2,1,5,4,6,2]=>[6,1,1,5,2,3]
[2,1,5,6,2,4]=>[6,1,1,4,2,5]
[2,1,5,6,4,2]=>[6,1,1,5,2,4]
[2,1,6,2,4,5]=>[6,1,1,3,5,4]
[2,1,6,2,5,4]=>[6,1,1,3,4,5]
[2,1,6,4,2,5]=>[6,1,1,4,5,3]
[2,1,6,4,5,2]=>[6,1,1,5,4,3]
[2,1,6,5,2,4]=>[6,1,1,4,3,5]
[2,1,6,5,4,2]=>[6,1,1,5,3,4]
[2,2,1,4,5,6]=>[6,2,2,1,3,4]
[2,2,1,4,6,5]=>[6,2,2,1,3,5]
[2,2,1,5,4,6]=>[6,2,2,1,4,3]
[2,2,1,5,6,4]=>[6,2,2,1,5,3]
[2,2,1,6,4,5]=>[6,2,2,1,4,5]
[2,2,1,6,5,4]=>[6,2,2,1,5,4]
[2,2,4,1,5,6]=>[6,3,3,1,2,4]
[2,2,4,1,6,5]=>[6,3,3,1,2,5]
[2,2,4,5,1,6]=>[6,4,4,1,2,3]
[2,2,4,5,6,1]=>[2,1,1,6,5,4]
[2,2,4,6,1,5]=>[3,1,1,2,5,6]
[2,2,4,6,5,1]=>[3,2,2,1,6,5]
[2,2,5,1,4,6]=>[6,3,3,1,4,2]
[2,2,5,1,6,4]=>[6,3,3,1,5,2]
[2,2,5,4,1,6]=>[6,4,4,1,3,2]
[2,2,5,4,6,1]=>[2,1,1,5,6,4]
[2,2,5,6,1,4]=>[3,1,1,6,2,5]
[2,2,5,6,4,1]=>[3,2,2,6,1,5]
[2,2,6,1,4,5]=>[4,1,1,3,6,2]
[2,2,6,1,5,4]=>[4,1,1,2,6,3]
[2,2,6,4,1,5]=>[4,2,2,3,6,1]
[2,2,6,4,5,1]=>[4,3,3,2,1,6]
[2,2,6,5,1,4]=>[4,2,2,1,3,6]
[2,2,6,5,4,1]=>[4,3,3,1,2,6]
[2,4,1,2,5,6]=>[6,2,2,3,1,4]
[2,4,1,2,6,5]=>[6,2,2,3,1,5]
[2,4,1,5,2,6]=>[6,2,2,4,1,3]
[2,4,1,5,6,2]=>[6,2,2,5,3,1]
[2,4,1,6,2,5]=>[6,2,2,4,5,1]
[2,4,1,6,5,2]=>[6,2,2,5,4,1]
[2,4,2,1,5,6]=>[6,3,3,2,1,4]
[2,4,2,1,6,5]=>[6,3,3,2,1,5]
[2,4,2,5,1,6]=>[6,4,4,2,1,3]
[2,4,2,5,6,1]=>[2,1,1,6,4,5]
[2,4,2,6,1,5]=>[3,1,1,2,6,5]
[2,4,2,6,5,1]=>[3,2,2,1,5,6]
[2,4,5,1,2,6]=>[6,3,3,4,1,2]
[2,4,5,1,6,2]=>[6,3,3,5,2,1]
[2,4,5,2,1,6]=>[6,4,4,3,1,2]
[2,4,5,2,6,1]=>[2,1,1,5,4,6]
[2,4,5,6,1,2]=>[3,1,1,6,5,2]
[2,4,5,6,2,1]=>[3,2,2,6,5,1]
[2,4,6,1,2,5]=>[4,1,1,3,2,6]
[2,4,6,1,5,2]=>[4,1,1,2,3,6]
[2,4,6,2,1,5]=>[4,2,2,3,1,6]
[2,4,6,2,5,1]=>[4,3,3,2,6,1]
[2,4,6,5,1,2]=>[4,2,2,1,6,3]
[2,4,6,5,2,1]=>[4,3,3,1,6,2]
[2,5,1,2,4,6]=>[6,2,2,3,4,1]
[2,5,1,2,6,4]=>[6,2,2,3,5,1]
[2,5,1,4,2,6]=>[6,2,2,4,3,1]
[2,5,1,4,6,2]=>[6,2,2,5,1,3]
[2,5,1,6,2,4]=>[6,2,2,4,1,5]
[2,5,1,6,4,2]=>[6,2,2,5,1,4]
[2,5,2,1,4,6]=>[6,3,3,2,4,1]
[2,5,2,1,6,4]=>[6,3,3,2,5,1]
[2,5,2,4,1,6]=>[6,4,4,2,3,1]
[2,5,2,4,6,1]=>[2,1,1,4,6,5]
[2,5,2,6,1,4]=>[3,1,1,5,2,6]
[2,5,2,6,4,1]=>[3,2,2,5,1,6]
[2,5,4,1,2,6]=>[6,3,3,4,2,1]
[2,5,4,1,6,2]=>[6,3,3,5,1,2]
[2,5,4,2,1,6]=>[6,4,4,3,2,1]
[2,5,4,2,6,1]=>[2,1,1,4,5,6]
[2,5,4,6,1,2]=>[3,1,1,5,6,2]
[2,5,4,6,2,1]=>[3,2,2,5,6,1]
[2,5,6,1,2,4]=>[4,1,1,6,3,2]
[2,5,6,1,4,2]=>[4,1,1,6,2,3]
[2,5,6,2,1,4]=>[4,2,2,6,3,1]
[2,5,6,2,4,1]=>[4,3,3,6,2,1]
[2,5,6,4,1,2]=>[4,2,2,6,1,3]
[2,5,6,4,2,1]=>[4,3,3,6,1,2]
[2,6,1,2,4,5]=>[5,1,1,4,2,3]
[2,6,1,2,5,4]=>[5,1,1,3,2,4]
[2,6,1,4,2,5]=>[5,1,1,4,3,2]
[2,6,1,4,5,2]=>[5,1,1,3,4,2]
[2,6,1,5,2,4]=>[5,1,1,2,3,4]
[2,6,1,5,4,2]=>[5,1,1,2,4,3]
[2,6,2,1,4,5]=>[5,2,2,4,1,3]
[2,6,2,1,5,4]=>[5,2,2,3,1,4]
[2,6,2,4,1,5]=>[5,3,3,4,1,2]
[2,6,2,4,5,1]=>[5,4,4,3,2,1]
[2,6,2,5,1,4]=>[5,3,3,2,4,1]
[2,6,2,5,4,1]=>[5,4,4,2,3,1]
[2,6,4,1,2,5]=>[5,2,2,4,3,1]
[2,6,4,1,5,2]=>[5,2,2,3,4,1]
[2,6,4,2,1,5]=>[5,3,3,4,2,1]
[2,6,4,2,5,1]=>[5,4,4,3,1,2]
[2,6,4,5,1,2]=>[5,3,3,2,1,4]
[2,6,4,5,2,1]=>[5,4,4,2,1,3]
[2,6,5,1,2,4]=>[5,2,2,1,4,3]
[2,6,5,1,4,2]=>[5,2,2,1,3,4]
[2,6,5,2,1,4]=>[5,3,3,1,4,2]
[2,6,5,2,4,1]=>[5,4,4,1,3,2]
[2,6,5,4,1,2]=>[5,3,3,1,2,4]
[2,6,5,4,2,1]=>[5,4,4,1,2,3]
[4,1,2,2,5,6]=>[1,3,3,5,2,6]
[4,1,2,2,6,5]=>[2,4,4,6,3,1]
[4,1,2,5,2,6]=>[1,3,3,6,2,5]
[4,1,2,5,6,2]=>[2,4,4,1,6,3]
[4,1,2,6,2,5]=>[3,5,5,1,2,4]
[4,1,2,6,5,2]=>[3,5,5,2,1,4]
[4,1,5,2,2,6]=>[1,3,3,6,2,4]
[4,1,5,2,6,2]=>[2,4,4,1,5,3]
[4,1,5,6,2,2]=>[2,4,5,3,1,4]
[4,1,6,2,2,5]=>[3,5,2,5,1,4]
[4,1,6,2,5,2]=>[3,5,1,5,2,4]
[4,1,6,5,2,2]=>[2,4,6,3,1,4]
[4,2,1,2,5,6]=>[5,1,1,2,6,3]
[4,2,1,2,6,5]=>[5,1,1,2,6,4]
[4,2,1,5,2,6]=>[5,1,1,3,6,2]
[4,2,1,5,6,2]=>[5,1,1,4,2,6]
[4,2,1,6,2,5]=>[5,1,1,3,4,6]
[4,2,1,6,5,2]=>[5,1,1,4,3,6]
[4,2,2,1,5,6]=>[5,2,2,1,6,3]
[4,2,2,1,6,5]=>[5,2,2,1,6,4]
[4,2,2,5,1,6]=>[5,3,3,1,6,2]
[4,2,2,5,6,1]=>[2,1,1,6,3,5]
[4,2,2,6,1,5]=>[3,1,1,2,6,4]
[4,2,2,6,5,1]=>[3,2,2,1,4,6]
[4,2,5,1,2,6]=>[5,2,2,3,6,1]
[4,2,5,1,6,2]=>[5,2,2,4,1,6]
[4,2,5,2,1,6]=>[5,3,3,2,6,1]
[4,2,5,2,6,1]=>[2,1,1,5,3,6]
[4,2,5,6,1,2]=>[3,1,1,6,4,2]
[4,2,5,6,2,1]=>[3,2,2,6,4,1]
[4,2,6,1,2,5]=>[4,1,1,3,2,5]
[4,2,6,1,5,2]=>[4,1,1,2,3,5]
[4,2,6,2,1,5]=>[4,2,2,3,1,5]
[4,2,6,2,5,1]=>[4,3,3,2,5,1]
[4,2,6,5,1,2]=>[4,2,2,1,5,3]
[4,2,6,5,2,1]=>[4,3,3,1,5,2]
[4,5,1,2,2,6]=>[1,4,4,6,2,3]
[4,5,1,2,6,2]=>[2,5,5,1,4,3]
[4,5,1,6,2,2]=>[2,5,4,3,1,5]
[4,5,2,1,2,6]=>[4,1,1,2,5,6]
[4,5,2,1,6,2]=>[4,1,1,3,6,5]
[4,5,2,2,1,6]=>[4,2,2,1,5,6]
[4,5,2,2,6,1]=>[2,1,1,4,3,6]
[4,5,2,6,1,2]=>[3,1,1,5,4,2]
[4,5,2,6,2,1]=>[3,2,2,5,4,1]
[4,5,6,1,2,2]=>[4,1,6,5,3,1]
[4,5,6,2,1,2]=>[3,1,5,4,2,1]
[4,5,6,2,2,1]=>[3,2,5,4,1,2]
[4,6,1,2,2,5]=>[5,1,4,1,3,6]
[4,6,1,2,5,2]=>[5,1,3,1,4,6]
[4,6,1,5,2,2]=>[5,1,2,6,4,1]
[4,6,2,1,2,5]=>[4,1,3,1,2,5]
[4,6,2,1,5,2]=>[4,1,2,1,3,5]
[4,6,2,2,1,5]=>[4,2,3,2,1,5]
[4,6,2,2,5,1]=>[4,3,2,3,5,1]
[4,6,2,5,1,2]=>[4,2,1,2,5,3]
[4,6,2,5,2,1]=>[4,3,1,3,5,2]
[4,6,5,1,2,2]=>[5,2,1,6,4,2]
[4,6,5,2,1,2]=>[3,1,6,4,2,1]
[4,6,5,2,2,1]=>[3,2,6,4,1,2]
[5,1,2,2,4,6]=>[1,3,3,5,6,2]
[5,1,2,2,6,4]=>[2,4,4,6,1,3]
[5,1,2,4,2,6]=>[1,3,3,6,5,2]
[5,1,2,4,6,2]=>[2,4,4,1,3,6]
[5,1,2,6,2,4]=>[3,5,5,1,4,2]
[5,1,2,6,4,2]=>[3,5,5,2,4,1]
[5,1,4,2,2,6]=>[1,3,3,6,4,2]
[5,1,4,2,6,2]=>[2,4,4,1,3,5]
[5,1,4,6,2,2]=>[2,4,3,5,1,4]
[5,1,6,2,2,4]=>[3,5,4,2,5,1]
[5,1,6,2,4,2]=>[3,5,4,1,5,2]
[5,1,6,4,2,2]=>[2,4,3,6,1,4]
[5,2,1,2,4,6]=>[5,1,1,2,3,6]
[5,2,1,2,6,4]=>[5,1,1,2,4,6]
[5,2,1,4,2,6]=>[5,1,1,3,2,6]
[5,2,1,4,6,2]=>[5,1,1,4,6,2]
[5,2,1,6,2,4]=>[5,1,1,3,6,4]
[5,2,1,6,4,2]=>[5,1,1,4,6,3]
[5,2,2,1,4,6]=>[5,2,2,1,3,6]
[5,2,2,1,6,4]=>[5,2,2,1,4,6]
[5,2,2,4,1,6]=>[5,3,3,1,2,6]
[5,2,2,4,6,1]=>[2,1,1,3,6,5]
[5,2,2,6,1,4]=>[3,1,1,4,2,6]
[5,2,2,6,4,1]=>[3,2,2,4,1,6]
[5,2,4,1,2,6]=>[5,2,2,3,1,6]
[5,2,4,1,6,2]=>[5,2,2,4,6,1]
[5,2,4,2,1,6]=>[5,3,3,2,1,6]
[5,2,4,2,6,1]=>[2,1,1,3,5,6]
[5,2,4,6,1,2]=>[3,1,1,4,6,2]
[5,2,4,6,2,1]=>[3,2,2,4,6,1]
[5,2,6,1,2,4]=>[4,1,1,5,3,2]
[5,2,6,1,4,2]=>[4,1,1,5,2,3]
[5,2,6,2,1,4]=>[4,2,2,5,3,1]
[5,2,6,2,4,1]=>[4,3,3,5,2,1]
[5,2,6,4,1,2]=>[4,2,2,5,1,3]
[5,2,6,4,2,1]=>[4,3,3,5,1,2]
[5,4,1,2,2,6]=>[1,4,4,6,3,2]
[5,4,1,2,6,2]=>[2,5,5,1,3,4]
[5,4,1,6,2,2]=>[2,5,3,4,1,5]
[5,4,2,1,2,6]=>[4,1,1,2,6,5]
[5,4,2,1,6,2]=>[4,1,1,3,5,6]
[5,4,2,2,1,6]=>[4,2,2,1,6,5]
[5,4,2,2,6,1]=>[2,1,1,3,4,6]
[5,4,2,6,1,2]=>[3,1,1,4,5,2]
[5,4,2,6,2,1]=>[3,2,2,4,5,1]
[5,4,6,1,2,2]=>[4,1,5,6,3,1]
[5,4,6,2,1,2]=>[3,1,4,5,2,1]
[5,4,6,2,2,1]=>[3,2,4,5,1,2]
[5,6,1,2,2,4]=>[5,1,6,4,1,3]
[5,6,1,2,4,2]=>[5,1,6,3,1,4]
[5,6,1,4,2,2]=>[5,1,6,2,4,1]
[5,6,2,1,2,4]=>[4,1,5,3,1,2]
[5,6,2,1,4,2]=>[4,1,5,2,1,3]
[5,6,2,2,1,4]=>[4,2,5,3,2,1]
[5,6,2,2,4,1]=>[4,3,5,2,3,1]
[5,6,2,4,1,2]=>[4,2,5,1,2,3]
[5,6,2,4,2,1]=>[4,3,5,1,3,2]
[5,6,4,1,2,2]=>[5,2,6,1,4,2]
[5,6,4,2,1,2]=>[3,1,4,6,2,1]
[5,6,4,2,2,1]=>[3,2,4,6,1,2]
[6,1,2,2,4,5]=>[6,1,5,1,3,4]
[6,1,2,2,5,4]=>[6,1,4,1,3,5]
[6,1,2,4,2,5]=>[6,1,5,1,4,3]
[6,1,2,4,5,2]=>[6,1,4,1,5,3]
[6,1,2,5,2,4]=>[6,1,3,1,4,5]
[6,1,2,5,4,2]=>[6,1,3,1,5,4]
[6,1,4,2,2,5]=>[6,1,5,1,4,2]
[6,1,4,2,5,2]=>[6,1,4,1,5,2]
[6,1,4,5,2,2]=>[6,1,3,2,5,1]
[6,1,5,2,2,4]=>[6,1,2,5,1,4]
[6,1,5,2,4,2]=>[6,1,2,4,1,5]
[6,1,5,4,2,2]=>[6,1,2,3,5,1]
[6,2,1,2,4,5]=>[5,1,4,1,2,3]
[6,2,1,2,5,4]=>[5,1,3,1,2,4]
[6,2,1,4,2,5]=>[5,1,4,1,3,2]
[6,2,1,4,5,2]=>[5,1,3,1,4,2]
[6,2,1,5,2,4]=>[5,1,2,1,3,4]
[6,2,1,5,4,2]=>[5,1,2,1,4,3]
[6,2,2,1,4,5]=>[5,2,4,2,1,3]
[6,2,2,1,5,4]=>[5,2,3,2,1,4]
[6,2,2,4,1,5]=>[5,3,4,3,1,2]
[6,2,2,4,5,1]=>[5,4,3,4,2,1]
[6,2,2,5,1,4]=>[5,3,2,3,4,1]
[6,2,2,5,4,1]=>[5,4,2,4,3,1]
[6,2,4,1,2,5]=>[5,2,4,2,3,1]
[6,2,4,1,5,2]=>[5,2,3,2,4,1]
[6,2,4,2,1,5]=>[5,3,4,3,2,1]
[6,2,4,2,5,1]=>[5,4,3,4,1,2]
[6,2,4,5,1,2]=>[5,3,2,3,1,4]
[6,2,4,5,2,1]=>[5,4,2,4,1,3]
[6,2,5,1,2,4]=>[5,2,1,2,4,3]
[6,2,5,1,4,2]=>[5,2,1,2,3,4]
[6,2,5,2,1,4]=>[5,3,1,3,4,2]
[6,2,5,2,4,1]=>[5,4,1,4,3,2]
[6,2,5,4,1,2]=>[5,3,1,3,2,4]
[6,2,5,4,2,1]=>[5,4,1,4,2,3]
[6,4,1,2,2,5]=>[6,2,5,2,4,1]
[6,4,1,2,5,2]=>[6,2,4,2,5,1]
[6,4,1,5,2,2]=>[6,2,3,1,5,2]
[6,4,2,1,2,5]=>[4,1,3,1,2,6]
[6,4,2,1,5,2]=>[4,1,2,1,3,6]
[6,4,2,2,1,5]=>[4,2,3,2,1,6]
[6,4,2,2,5,1]=>[4,3,2,3,6,1]
[6,4,2,5,1,2]=>[4,2,1,2,6,3]
[6,4,2,5,2,1]=>[4,3,1,3,6,2]
[6,4,5,1,2,2]=>[6,3,2,1,5,3]
[6,4,5,2,1,2]=>[3,1,6,5,2,1]
[6,4,5,2,2,1]=>[3,2,6,5,1,2]
[6,5,1,2,2,4]=>[6,2,1,5,2,4]
[6,5,1,2,4,2]=>[6,2,1,4,2,5]
[6,5,1,4,2,2]=>[6,2,1,3,5,2]
[6,5,2,1,2,4]=>[4,1,6,3,1,2]
[6,5,2,1,4,2]=>[4,1,6,2,1,3]
[6,5,2,2,1,4]=>[4,2,6,3,2,1]
[6,5,2,2,4,1]=>[4,3,6,2,3,1]
[6,5,2,4,1,2]=>[4,2,6,1,2,3]
[6,5,2,4,2,1]=>[4,3,6,1,3,2]
[6,5,4,1,2,2]=>[6,3,1,2,5,3]
[6,5,4,2,1,2]=>[3,1,5,6,2,1]
[6,5,4,2,2,1]=>[3,2,5,6,1,2]
[1,2,3,3,3,3]=>[1,2,3,3,3,3]
[1,3,2,3,3,3]=>[5,6,1,1,1,1]
[1,3,3,2,3,3]=>[4,5,1,1,1,1]
[1,3,3,3,2,3]=>[3,4,1,1,1,1]
[1,3,3,3,3,2]=>[2,3,1,1,1,1]
[2,1,3,3,3,3]=>[1,3,2,2,2,2]
[2,3,1,3,3,3]=>[1,4,2,2,2,2]
[2,3,3,1,3,3]=>[1,5,2,2,2,2]
[2,3,3,3,1,3]=>[1,6,2,2,2,2]
[2,3,3,3,3,1]=>[2,1,3,3,3,3]
[3,1,2,3,3,3]=>[6,1,2,2,2,2]
[3,1,3,2,3,3]=>[4,6,1,1,1,1]
[3,1,3,3,2,3]=>[3,5,1,1,1,1]
[3,1,3,3,3,2]=>[2,4,1,1,1,1]
[3,2,1,3,3,3]=>[6,2,1,1,1,1]
[3,2,3,1,3,3]=>[6,3,1,1,1,1]
[3,2,3,3,1,3]=>[6,4,1,1,1,1]
[3,2,3,3,3,1]=>[6,5,1,1,1,1]
[3,3,1,2,3,3]=>[5,1,2,2,2,2]
[3,3,1,3,2,3]=>[3,6,1,1,1,1]
[3,3,1,3,3,2]=>[2,5,1,1,1,1]
[3,3,2,1,3,3]=>[5,2,1,1,1,1]
[3,3,2,3,1,3]=>[5,3,1,1,1,1]
[3,3,2,3,3,1]=>[5,4,1,1,1,1]
[3,3,3,1,2,3]=>[4,1,2,2,2,2]
[3,3,3,1,3,2]=>[2,6,1,1,1,1]
[3,3,3,2,1,3]=>[4,2,1,1,1,1]
[3,3,3,2,3,1]=>[4,3,1,1,1,1]
[3,3,3,3,1,2]=>[3,1,2,2,2,2]
[3,3,3,3,2,1]=>[3,2,1,1,1,1]
[1,2,3,3,3,4]=>[1,2,3,3,3,4]
[1,2,3,3,4,3]=>[1,2,3,3,4,3]
[1,2,3,4,3,3]=>[1,2,3,4,3,3]
[1,2,4,3,3,3]=>[1,2,3,5,3,3]
[1,3,2,3,3,4]=>[1,2,4,4,4,3]
[1,3,2,3,4,3]=>[1,2,4,4,3,4]
[1,3,2,4,3,3]=>[1,2,4,3,4,4]
[1,3,3,2,3,4]=>[4,5,1,1,1,6]
[1,3,3,2,4,3]=>[4,5,1,1,6,1]
[1,3,3,3,2,4]=>[3,4,1,1,1,5]
[1,3,3,3,4,2]=>[2,3,1,1,1,4]
[1,3,3,4,2,3]=>[3,4,1,1,5,1]
[1,3,3,4,3,2]=>[2,3,1,1,4,1]
[1,3,4,2,3,3]=>[4,5,1,6,1,1]
[1,3,4,3,2,3]=>[3,4,1,5,1,1]
[1,3,4,3,3,2]=>[2,3,1,4,1,1]
[1,4,2,3,3,3]=>[5,6,1,2,1,1]
[1,4,3,2,3,3]=>[5,6,2,1,2,2]
[1,4,3,3,2,3]=>[3,4,1,6,1,1]
[1,4,3,3,3,2]=>[2,3,1,5,1,1]
[2,1,3,3,3,4]=>[1,3,2,2,2,4]
[2,1,3,3,4,3]=>[1,3,2,2,4,2]
[2,1,3,4,3,3]=>[1,3,2,4,2,2]
[2,1,4,3,3,3]=>[1,3,2,5,2,2]
[2,3,1,3,3,4]=>[1,4,2,2,2,3]
[2,3,1,3,4,3]=>[1,4,2,2,3,2]
[2,3,1,4,3,3]=>[1,4,2,3,2,2]
[2,3,3,1,3,4]=>[1,5,2,2,2,3]
[2,3,3,1,4,3]=>[1,5,2,2,3,2]
[2,3,3,3,1,4]=>[1,6,2,2,2,3]
[2,3,3,3,4,1]=>[2,1,3,3,4,3]
[2,3,3,4,1,3]=>[1,6,2,3,2,2]
[2,3,3,4,3,1]=>[2,1,3,4,3,3]
[2,3,4,1,3,3]=>[1,5,3,2,2,2]
[2,3,4,3,1,3]=>[1,6,3,2,2,2]
[2,3,4,3,3,1]=>[2,1,4,3,3,3]
[2,4,1,3,3,3]=>[1,4,5,2,2,2]
[2,4,3,1,3,3]=>[1,5,4,2,2,2]
[2,4,3,3,1,3]=>[1,6,4,2,2,2]
[2,4,3,3,3,1]=>[2,1,5,3,3,3]
[3,1,2,3,3,4]=>[1,3,4,4,4,2]
[3,1,2,3,4,3]=>[1,3,4,4,2,4]
[3,1,2,4,3,3]=>[1,3,4,2,4,4]
[3,1,3,2,3,4]=>[4,6,1,1,1,5]
[3,1,3,2,4,3]=>[4,6,1,1,5,1]
[3,1,3,3,2,4]=>[3,5,1,1,1,4]
[3,1,3,3,4,2]=>[2,4,1,1,1,3]
[3,1,3,4,2,3]=>[3,5,1,1,4,1]
[3,1,3,4,3,2]=>[2,4,1,1,3,1]
[3,1,4,2,3,3]=>[4,6,1,5,1,1]
[3,1,4,3,2,3]=>[3,5,1,4,1,1]
[3,1,4,3,3,2]=>[2,4,1,3,1,1]
[3,2,1,3,3,4]=>[1,4,3,3,3,2]
[3,2,1,3,4,3]=>[1,4,3,3,2,3]
[3,2,1,4,3,3]=>[1,4,3,2,3,3]
[3,2,3,1,3,4]=>[1,5,3,3,3,2]
[3,2,3,1,4,3]=>[1,5,3,3,2,3]
[3,2,3,3,1,4]=>[1,6,3,3,3,2]
[3,2,3,3,4,1]=>[2,1,4,4,3,4]
[3,2,3,4,1,3]=>[1,6,3,2,3,3]
[3,2,3,4,3,1]=>[2,1,4,3,4,4]
[3,2,4,1,3,3]=>[1,5,2,3,3,3]
[3,2,4,3,1,3]=>[1,6,2,3,3,3]
[3,2,4,3,3,1]=>[2,1,3,4,4,4]
[3,3,1,2,3,4]=>[5,1,2,2,2,6]
[3,3,1,2,4,3]=>[5,1,2,2,6,2]
[3,3,1,3,2,4]=>[3,6,1,1,1,4]
[3,3,1,3,4,2]=>[2,5,1,1,1,3]
[3,3,1,4,2,3]=>[3,6,1,1,4,1]
[3,3,1,4,3,2]=>[2,5,1,1,3,1]
[3,3,2,1,3,4]=>[5,2,1,1,1,6]
[3,3,2,1,4,3]=>[5,2,1,1,6,1]
[3,3,2,3,1,4]=>[5,3,1,1,1,6]
[3,3,2,3,4,1]=>[5,4,1,1,6,1]
[3,3,2,4,1,3]=>[5,3,1,6,1,1]
[3,3,2,4,3,1]=>[5,4,1,6,1,1]
[3,3,3,1,2,4]=>[4,1,2,2,2,5]
[3,3,3,1,4,2]=>[2,6,1,1,1,3]
[3,3,3,2,1,4]=>[4,2,1,1,1,5]
[3,3,3,2,4,1]=>[4,3,1,1,5,1]
[3,3,3,4,1,2]=>[3,1,2,2,4,2]
[3,3,3,4,2,1]=>[3,2,1,1,4,1]
[3,3,4,1,2,3]=>[4,1,2,5,2,2]
[3,3,4,1,3,2]=>[2,6,1,3,1,1]
[3,3,4,2,1,3]=>[4,2,1,5,1,1]
[3,3,4,2,3,1]=>[4,3,1,5,1,1]
[3,3,4,3,1,2]=>[3,1,2,4,2,2]
[3,3,4,3,2,1]=>[3,2,1,4,1,1]
[3,4,1,2,3,3]=>[5,1,6,2,2,2]
[3,4,1,3,2,3]=>[3,6,4,1,1,1]
[3,4,1,3,3,2]=>[2,5,3,1,1,1]
[3,4,2,1,3,3]=>[5,2,6,1,1,1]
[3,4,2,3,1,3]=>[5,3,6,1,1,1]
[3,4,2,3,3,1]=>[5,4,6,1,1,1]
[3,4,3,1,2,3]=>[4,1,5,2,2,2]
[3,4,3,1,3,2]=>[2,6,3,1,1,1]
[3,4,3,2,1,3]=>[4,2,5,1,1,1]
[3,4,3,2,3,1]=>[4,3,5,1,1,1]
[3,4,3,3,1,2]=>[3,1,4,2,2,2]
[3,4,3,3,2,1]=>[3,2,4,1,1,1]
[4,1,2,3,3,3]=>[6,1,3,2,2,2]
[4,1,3,2,3,3]=>[6,1,2,3,3,3]
[4,1,3,3,2,3]=>[3,5,6,1,1,1]
[4,1,3,3,3,2]=>[2,4,5,1,1,1]
[4,2,1,3,3,3]=>[6,2,3,1,1,1]
[4,2,3,1,3,3]=>[6,3,2,1,1,1]
[4,2,3,3,1,3]=>[6,4,2,1,1,1]
[4,2,3,3,3,1]=>[6,5,2,1,1,1]
[4,3,1,2,3,3]=>[6,2,1,3,3,3]
[4,3,1,3,2,3]=>[3,6,5,1,1,1]
[4,3,1,3,3,2]=>[2,5,4,1,1,1]
[4,3,2,1,3,3]=>[6,3,1,2,2,2]
[4,3,2,3,1,3]=>[6,4,1,2,2,2]
[4,3,2,3,3,1]=>[6,5,1,2,2,2]
[4,3,3,1,2,3]=>[4,1,6,2,2,2]
[4,3,3,1,3,2]=>[2,6,4,1,1,1]
[4,3,3,2,1,3]=>[4,2,6,1,1,1]
[4,3,3,2,3,1]=>[4,3,6,1,1,1]
[4,3,3,3,1,2]=>[3,1,5,2,2,2]
[4,3,3,3,2,1]=>[3,2,5,1,1,1]
[1,2,3,3,3,5]=>[1,2,3,3,3,5]
[1,2,3,3,5,3]=>[1,2,3,3,5,3]
[1,2,3,5,3,3]=>[1,2,3,3,6,3]
[1,2,5,3,3,3]=>[1,2,3,6,3,3]
[1,3,2,3,3,5]=>[5,6,1,1,1,2]
[1,3,2,3,5,3]=>[5,6,1,1,2,1]
[1,3,2,5,3,3]=>[5,6,1,1,3,1]
[1,3,3,2,3,5]=>[5,6,2,2,2,1]
[1,3,3,2,5,3]=>[5,6,2,2,1,2]
[1,3,3,3,2,5]=>[3,4,1,1,1,6]
[1,3,3,3,5,2]=>[2,3,1,1,1,5]
[1,3,3,5,2,3]=>[3,4,1,1,6,1]
[1,3,3,5,3,2]=>[2,3,1,1,5,1]
[1,3,5,2,3,3]=>[4,5,1,1,2,1]
[1,3,5,3,2,3]=>[4,5,2,2,1,2]
[1,3,5,3,3,2]=>[2,3,1,1,6,1]
[1,5,2,3,3,3]=>[5,6,1,3,1,1]
[1,5,3,2,3,3]=>[4,5,1,2,1,1]
[1,5,3,3,2,3]=>[4,5,2,1,2,2]
[1,5,3,3,3,2]=>[2,3,1,6,1,1]
[2,1,3,3,3,5]=>[1,3,2,2,2,5]
[2,1,3,3,5,3]=>[1,3,2,2,5,2]
[2,1,3,5,3,3]=>[1,3,2,2,6,2]
[2,1,5,3,3,3]=>[1,3,2,6,2,2]
[2,3,1,3,3,5]=>[1,4,2,2,2,5]
[2,3,1,3,5,3]=>[1,4,2,2,5,2]
[2,3,1,5,3,3]=>[1,4,2,2,6,2]
[2,3,3,1,3,5]=>[1,5,2,2,2,4]
[2,3,3,1,5,3]=>[1,5,2,2,4,2]
[2,3,3,3,1,5]=>[1,6,2,2,2,4]
[2,3,3,3,5,1]=>[2,1,3,3,5,3]
[2,3,3,5,1,3]=>[1,6,2,4,2,2]
[2,3,3,5,3,1]=>[2,1,3,5,3,3]
[2,3,5,1,3,3]=>[1,5,2,6,2,2]
[2,3,5,3,1,3]=>[1,6,2,5,2,2]
[2,3,5,3,3,1]=>[2,1,3,6,3,3]
[2,5,1,3,3,3]=>[1,4,6,2,2,2]
[2,5,3,1,3,3]=>[1,5,6,2,2,2]
[2,5,3,3,1,3]=>[1,6,5,2,2,2]
[2,5,3,3,3,1]=>[2,1,6,3,3,3]
[3,1,2,3,3,5]=>[6,1,2,2,2,3]
[3,1,2,3,5,3]=>[6,1,2,2,3,2]
[3,1,2,5,3,3]=>[6,1,2,2,4,2]
[3,1,3,2,3,5]=>[6,1,3,3,3,2]
[3,1,3,2,5,3]=>[6,1,3,3,2,3]
[3,1,3,3,2,5]=>[3,5,1,1,1,6]
[3,1,3,3,5,2]=>[2,4,1,1,1,5]
[3,1,3,5,2,3]=>[3,5,1,1,6,1]
[3,1,3,5,3,2]=>[2,4,1,1,5,1]
[3,1,5,2,3,3]=>[4,6,1,1,2,1]
[3,1,5,3,2,3]=>[4,6,2,2,1,2]
[3,1,5,3,3,2]=>[2,4,1,1,6,1]
[3,2,1,3,3,5]=>[6,2,1,1,1,3]
[3,2,1,3,5,3]=>[6,2,1,1,3,1]
[3,2,1,5,3,3]=>[6,2,1,1,4,1]
[3,2,3,1,3,5]=>[6,3,1,1,1,2]
[3,2,3,1,5,3]=>[6,3,1,1,2,1]
[3,2,3,3,1,5]=>[6,4,1,1,1,2]
[3,2,3,3,5,1]=>[6,5,1,1,2,1]
[3,2,3,5,1,3]=>[6,4,1,2,1,1]
[3,2,3,5,3,1]=>[6,5,1,2,1,1]
[3,2,5,1,3,3]=>[6,3,1,4,1,1]
[3,2,5,3,1,3]=>[6,4,1,3,1,1]
[3,2,5,3,3,1]=>[6,5,1,3,1,1]
[3,3,1,2,3,5]=>[6,2,3,3,3,1]
[3,3,1,2,5,3]=>[6,2,3,3,1,3]
[3,3,1,3,2,5]=>[3,6,1,1,1,5]
[3,3,1,3,5,2]=>[2,5,1,1,1,4]
[3,3,1,5,2,3]=>[3,6,1,1,5,1]
[3,3,1,5,3,2]=>[2,5,1,1,4,1]
[3,3,2,1,3,5]=>[6,3,2,2,2,1]
[3,3,2,1,5,3]=>[6,3,2,2,1,2]
[3,3,2,3,1,5]=>[6,4,2,2,2,1]
[3,3,2,3,5,1]=>[6,5,2,2,1,2]
[3,3,2,5,1,3]=>[6,4,2,1,2,2]
[3,3,2,5,3,1]=>[6,5,2,1,2,2]
[3,3,3,1,2,5]=>[4,1,2,2,2,6]
[3,3,3,1,5,2]=>[2,6,1,1,1,4]
[3,3,3,2,1,5]=>[4,2,1,1,1,6]
[3,3,3,2,5,1]=>[4,3,1,1,6,1]
[3,3,3,5,1,2]=>[3,1,2,2,5,2]
[3,3,3,5,2,1]=>[3,2,1,1,5,1]
[3,3,5,1,2,3]=>[4,1,2,6,2,2]
[3,3,5,1,3,2]=>[2,6,1,4,1,1]
[3,3,5,2,1,3]=>[4,2,1,6,1,1]
[3,3,5,2,3,1]=>[4,3,1,6,1,1]
[3,3,5,3,1,2]=>[3,1,2,5,2,2]
[3,3,5,3,2,1]=>[3,2,1,5,1,1]
[3,5,1,2,3,3]=>[5,1,2,3,2,2]
[3,5,1,3,2,3]=>[5,1,3,2,3,3]
[3,5,1,3,3,2]=>[2,5,1,6,1,1]
[3,5,2,1,3,3]=>[5,2,1,3,1,1]
[3,5,2,3,1,3]=>[5,3,1,2,1,1]
[3,5,2,3,3,1]=>[5,4,1,2,1,1]
[3,5,3,1,2,3]=>[5,2,3,1,3,3]
[3,5,3,1,3,2]=>[2,6,1,5,1,1]
[3,5,3,2,1,3]=>[5,3,2,1,2,2]
[3,5,3,2,3,1]=>[5,4,2,1,2,2]
[3,5,3,3,1,2]=>[3,1,2,6,2,2]
[3,5,3,3,2,1]=>[3,2,1,6,1,1]
[5,1,2,3,3,3]=>[6,1,4,2,2,2]
[5,1,3,2,3,3]=>[4,6,2,1,1,1]
[5,1,3,3,2,3]=>[4,6,1,2,2,2]
[5,1,3,3,3,2]=>[2,4,6,1,1,1]
[5,2,1,3,3,3]=>[6,2,4,1,1,1]
[5,2,3,1,3,3]=>[6,3,4,1,1,1]
[5,2,3,3,1,3]=>[6,4,3,1,1,1]
[5,2,3,3,3,1]=>[6,5,3,1,1,1]
[5,3,1,2,3,3]=>[5,1,3,2,2,2]
[5,3,1,3,2,3]=>[5,1,2,3,3,3]
[5,3,1,3,3,2]=>[2,5,6,1,1,1]
[5,3,2,1,3,3]=>[5,2,3,1,1,1]
[5,3,2,3,1,3]=>[5,3,2,1,1,1]
[5,3,2,3,3,1]=>[5,4,2,1,1,1]
[5,3,3,1,2,3]=>[5,2,1,3,3,3]
[5,3,3,1,3,2]=>[2,6,5,1,1,1]
[5,3,3,2,1,3]=>[5,3,1,2,2,2]
[5,3,3,2,3,1]=>[5,4,1,2,2,2]
[5,3,3,3,1,2]=>[3,1,6,2,2,2]
[5,3,3,3,2,1]=>[3,2,6,1,1,1]
[1,2,3,3,3,6]=>[1,2,3,3,3,6]
[1,2,3,3,6,3]=>[2,3,4,4,4,1]
[1,2,3,6,3,3]=>[2,3,4,4,1,4]
[1,2,6,3,3,3]=>[2,3,4,1,4,4]
[1,3,2,3,3,6]=>[5,6,1,1,1,3]
[1,3,2,3,6,3]=>[5,6,1,1,1,4]
[1,3,2,6,3,3]=>[5,6,1,1,4,1]
[1,3,3,2,3,6]=>[4,5,1,1,1,2]
[1,3,3,2,6,3]=>[4,5,1,1,1,3]
[1,3,3,3,2,6]=>[4,5,2,2,2,1]
[1,3,3,3,6,2]=>[2,3,1,1,1,6]
[1,3,3,6,2,3]=>[3,4,1,1,1,2]
[1,3,3,6,3,2]=>[3,4,2,2,2,1]
[1,3,6,2,3,3]=>[4,5,1,1,3,1]
[1,3,6,3,2,3]=>[3,4,1,1,2,1]
[1,3,6,3,3,2]=>[3,4,2,2,1,2]
[1,6,2,3,3,3]=>[5,6,1,4,1,1]
[1,6,3,2,3,3]=>[4,5,1,3,1,1]
[1,6,3,3,2,3]=>[3,4,1,2,1,1]
[1,6,3,3,3,2]=>[3,4,2,1,2,2]
[2,1,3,3,3,6]=>[1,3,2,2,2,6]
[2,1,3,3,6,3]=>[2,4,3,3,3,1]
[2,1,3,6,3,3]=>[2,4,3,3,1,3]
[2,1,6,3,3,3]=>[2,4,3,1,3,3]
[2,3,1,3,3,6]=>[1,4,2,2,2,6]
[2,3,1,3,6,3]=>[2,5,3,3,3,1]
[2,3,1,6,3,3]=>[2,5,3,3,1,3]
[2,3,3,1,3,6]=>[1,5,2,2,2,6]
[2,3,3,1,6,3]=>[2,6,3,3,3,1]
[2,3,3,3,1,6]=>[1,6,2,2,2,5]
[2,3,3,3,6,1]=>[2,1,3,3,6,3]
[2,3,3,6,1,3]=>[3,1,4,4,2,4]
[2,3,3,6,3,1]=>[3,2,4,4,1,4]
[2,3,6,1,3,3]=>[2,6,3,1,3,3]
[2,3,6,3,1,3]=>[3,1,4,2,4,4]
[2,3,6,3,3,1]=>[3,2,4,1,4,4]
[2,6,1,3,3,3]=>[2,5,1,3,3,3]
[2,6,3,1,3,3]=>[2,6,1,3,3,3]
[2,6,3,3,1,3]=>[3,1,2,4,4,4]
[2,6,3,3,3,1]=>[3,2,1,4,4,4]
[3,1,2,3,3,6]=>[6,1,2,2,2,4]
[3,1,2,3,6,3]=>[6,1,2,2,2,5]
[3,1,2,6,3,3]=>[6,1,2,2,5,2]
[3,1,3,2,3,6]=>[4,6,1,1,1,2]
[3,1,3,2,6,3]=>[4,6,1,1,1,3]
[3,1,3,3,2,6]=>[4,6,2,2,2,1]
[3,1,3,3,6,2]=>[2,4,1,1,1,6]
[3,1,3,6,2,3]=>[3,5,1,1,1,2]
[3,1,3,6,3,2]=>[3,5,2,2,2,1]
[3,1,6,2,3,3]=>[4,6,1,1,3,1]
[3,1,6,3,2,3]=>[3,5,1,1,2,1]
[3,1,6,3,3,2]=>[3,5,2,2,1,2]
[3,2,1,3,3,6]=>[6,2,1,1,1,4]
[3,2,1,3,6,3]=>[6,2,1,1,1,5]
[3,2,1,6,3,3]=>[6,2,1,1,5,1]
[3,2,3,1,3,6]=>[6,3,1,1,1,4]
[3,2,3,1,6,3]=>[6,3,1,1,1,5]
[3,2,3,3,1,6]=>[6,4,1,1,1,3]
[3,2,3,3,6,1]=>[6,5,1,1,3,1]
[3,2,3,6,1,3]=>[6,4,1,1,5,1]
[3,2,3,6,3,1]=>[6,5,1,1,4,1]
[3,2,6,1,3,3]=>[6,3,1,5,1,1]
[3,2,6,3,1,3]=>[6,4,1,5,1,1]
[3,2,6,3,3,1]=>[6,5,1,4,1,1]
[3,3,1,2,3,6]=>[5,1,2,2,2,3]
[3,3,1,2,6,3]=>[5,1,2,2,2,4]
[3,3,1,3,2,6]=>[5,1,3,3,3,2]
[3,3,1,3,6,2]=>[2,5,1,1,1,6]
[3,3,1,6,2,3]=>[3,6,1,1,1,2]
[3,3,1,6,3,2]=>[3,6,2,2,2,1]
[3,3,2,1,3,6]=>[5,2,1,1,1,3]
[3,3,2,1,6,3]=>[5,2,1,1,1,4]
[3,3,2,3,1,6]=>[5,3,1,1,1,2]
[3,3,2,3,6,1]=>[5,4,1,1,2,1]
[3,3,2,6,1,3]=>[5,3,1,1,4,1]
[3,3,2,6,3,1]=>[5,4,1,1,3,1]
[3,3,3,1,2,6]=>[5,2,3,3,3,1]
[3,3,3,1,6,2]=>[2,6,1,1,1,5]
[3,3,3,2,1,6]=>[5,3,2,2,2,1]
[3,3,3,2,6,1]=>[5,4,2,2,1,2]
[3,3,3,6,1,2]=>[3,1,2,2,6,2]
[3,3,3,6,2,1]=>[3,2,1,1,6,1]
[3,3,6,1,2,3]=>[4,1,2,2,3,2]
[3,3,6,1,3,2]=>[4,1,3,3,2,3]
[3,3,6,2,1,3]=>[4,2,1,1,3,1]
[3,3,6,2,3,1]=>[4,3,1,1,2,1]
[3,3,6,3,1,2]=>[4,2,3,3,1,3]
[3,3,6,3,2,1]=>[4,3,2,2,1,2]
[3,6,1,2,3,3]=>[5,1,2,4,2,2]
[3,6,1,3,2,3]=>[3,6,1,2,1,1]
[3,6,1,3,3,2]=>[3,6,2,1,2,2]
[3,6,2,1,3,3]=>[5,2,1,4,1,1]
[3,6,2,3,1,3]=>[5,3,1,4,1,1]
[3,6,2,3,3,1]=>[5,4,1,3,1,1]
[3,6,3,1,2,3]=>[4,1,2,3,2,2]
[3,6,3,1,3,2]=>[4,1,3,2,3,3]
[3,6,3,2,1,3]=>[4,2,1,3,1,1]
[3,6,3,2,3,1]=>[4,3,1,2,1,1]
[3,6,3,3,1,2]=>[4,2,3,1,3,3]
[3,6,3,3,2,1]=>[4,3,2,1,2,2]
[6,1,2,3,3,3]=>[6,1,5,2,2,2]
[6,1,3,2,3,3]=>[4,6,3,1,1,1]
[6,1,3,3,2,3]=>[3,5,2,1,1,1]
[6,1,3,3,3,2]=>[3,5,1,2,2,2]
[6,2,1,3,3,3]=>[6,2,5,1,1,1]
[6,2,3,1,3,3]=>[6,3,5,1,1,1]
[6,2,3,3,1,3]=>[6,4,5,1,1,1]
[6,2,3,3,3,1]=>[6,5,4,1,1,1]
[6,3,1,2,3,3]=>[5,1,4,2,2,2]
[6,3,1,3,2,3]=>[3,6,2,1,1,1]
[6,3,1,3,3,2]=>[3,6,1,2,2,2]
[6,3,2,1,3,3]=>[5,2,4,1,1,1]
[6,3,2,3,1,3]=>[5,3,4,1,1,1]
[6,3,2,3,3,1]=>[5,4,3,1,1,1]
[6,3,3,1,2,3]=>[4,1,3,2,2,2]
[6,3,3,1,3,2]=>[4,1,2,3,3,3]
[6,3,3,2,1,3]=>[4,2,3,1,1,1]
[6,3,3,2,3,1]=>[4,3,2,1,1,1]
[6,3,3,3,1,2]=>[4,2,1,3,3,3]
[6,3,3,3,2,1]=>[4,3,1,2,2,2]
[1,2,3,3,4,4]=>[1,2,3,3,4,4]
[1,2,3,4,3,4]=>[1,2,3,4,3,4]
[1,2,3,4,4,3]=>[1,2,3,4,4,3]
[1,2,4,3,3,4]=>[1,2,3,5,3,5]
[1,2,4,3,4,3]=>[1,2,3,5,5,3]
[1,2,4,4,3,3]=>[3,4,5,1,1,5]
[1,3,2,3,4,4]=>[1,2,4,4,3,3]
[1,3,2,4,3,4]=>[1,2,4,3,4,3]
[1,3,2,4,4,3]=>[1,2,4,3,3,4]
[1,3,3,2,4,4]=>[1,2,5,5,3,3]
[1,3,3,4,2,4]=>[3,4,1,1,5,5]
[1,3,3,4,4,2]=>[2,3,1,1,4,4]
[1,3,4,2,3,4]=>[1,2,5,3,5,3]
[1,3,4,2,4,3]=>[1,2,5,3,3,5]
[1,3,4,3,2,4]=>[3,4,1,5,1,5]
[1,3,4,3,4,2]=>[2,3,1,4,1,4]
[1,3,4,4,2,3]=>[3,4,1,5,5,1]
[1,3,4,4,3,2]=>[2,3,1,4,4,1]
[1,4,2,3,3,4]=>[5,6,1,2,1,2]
[1,4,2,3,4,3]=>[5,6,1,2,2,1]
[1,4,2,4,3,3]=>[5,6,1,3,3,1]
[1,4,3,2,3,4]=>[5,6,2,1,2,1]
[1,4,3,2,4,3]=>[5,6,2,1,1,2]
[1,4,3,3,2,4]=>[5,6,3,1,3,1]
[1,4,3,3,4,2]=>[2,3,1,5,1,5]
[1,4,3,4,2,3]=>[5,6,3,1,1,3]
[1,4,3,4,3,2]=>[2,3,1,5,5,1]
[1,4,4,2,3,3]=>[4,5,1,2,2,1]
[1,4,4,3,2,3]=>[4,5,2,1,1,2]
[1,4,4,3,3,2]=>[4,5,3,1,1,3]
[2,1,3,3,4,4]=>[1,3,2,2,4,4]
[2,1,3,4,3,4]=>[1,3,2,4,2,4]
[2,1,3,4,4,3]=>[1,3,2,4,4,2]
[2,1,4,3,3,4]=>[1,3,2,5,2,5]
[2,1,4,3,4,3]=>[1,3,2,5,5,2]
[2,1,4,4,3,3]=>[3,5,4,1,1,4]
[2,3,1,3,4,4]=>[1,4,2,2,3,3]
[2,3,1,4,3,4]=>[1,4,2,3,2,3]
[2,3,1,4,4,3]=>[1,4,2,3,3,2]
[2,3,3,1,4,4]=>[1,5,2,2,3,3]
[2,3,3,4,1,4]=>[1,6,2,3,2,3]
[2,3,3,4,4,1]=>[2,1,3,4,4,3]
[2,3,4,1,3,4]=>[1,5,3,2,2,3]
[2,3,4,1,4,3]=>[1,5,3,2,3,2]
[2,3,4,3,1,4]=>[1,6,3,2,2,3]
[2,3,4,3,4,1]=>[2,1,4,3,4,3]
[2,3,4,4,1,3]=>[1,6,3,3,2,2]
[2,3,4,4,3,1]=>[2,1,4,4,3,3]
[2,4,1,3,3,4]=>[1,4,5,2,2,5]
[2,4,1,3,4,3]=>[1,4,5,2,5,2]
[2,4,1,4,3,3]=>[3,6,1,4,1,4]
[2,4,3,1,3,4]=>[1,5,4,2,2,4]
[2,4,3,1,4,3]=>[1,5,4,2,4,2]
[2,4,3,3,1,4]=>[1,6,4,2,2,4]
[2,4,3,3,4,1]=>[2,1,5,3,5,3]
[2,4,3,4,1,3]=>[1,6,4,4,2,2]
[2,4,3,4,3,1]=>[2,1,5,5,3,3]
[2,4,4,1,3,3]=>[4,1,2,2,5,5]
[2,4,4,3,1,3]=>[4,2,1,1,5,5]
[2,4,4,3,3,1]=>[4,3,1,1,5,5]
[3,1,2,3,4,4]=>[1,3,4,4,2,2]
[3,1,2,4,3,4]=>[1,3,4,2,4,2]
[3,1,2,4,4,3]=>[1,3,4,2,2,4]
[3,1,3,2,4,4]=>[1,3,5,5,2,2]
[3,1,3,4,2,4]=>[3,5,1,1,4,4]
[3,1,3,4,4,2]=>[2,4,1,1,3,3]
[3,1,4,2,3,4]=>[1,3,5,2,5,2]
[3,1,4,2,4,3]=>[1,3,5,2,2,5]
[3,1,4,3,2,4]=>[3,5,1,4,1,4]
[3,1,4,3,4,2]=>[2,4,1,3,1,3]
[3,1,4,4,2,3]=>[3,5,1,4,4,1]
[3,1,4,4,3,2]=>[2,4,1,3,3,1]
[3,2,1,3,4,4]=>[1,4,3,3,2,2]
[3,2,1,4,3,4]=>[1,4,3,2,3,2]
[3,2,1,4,4,3]=>[1,4,3,2,2,3]
[3,2,3,1,4,4]=>[1,5,3,3,2,2]
[3,2,3,4,1,4]=>[1,6,3,2,3,2]
[3,2,3,4,4,1]=>[2,1,4,3,3,4]
[3,2,4,1,3,4]=>[1,5,2,3,3,2]
[3,2,4,1,4,3]=>[1,5,2,3,2,3]
[3,2,4,3,1,4]=>[1,6,2,3,3,2]
[3,2,4,3,4,1]=>[2,1,3,4,3,4]
[3,2,4,4,1,3]=>[1,6,2,2,3,3]
[3,2,4,4,3,1]=>[2,1,3,3,4,4]
[3,3,1,2,4,4]=>[1,4,5,5,2,2]
[3,3,1,4,2,4]=>[3,6,1,1,4,4]
[3,3,1,4,4,2]=>[2,5,1,1,3,3]
[3,3,2,1,4,4]=>[1,5,4,4,2,2]
[3,3,2,4,1,4]=>[1,6,4,2,4,2]
[3,3,2,4,4,1]=>[2,1,5,3,3,5]
[3,3,4,1,2,4]=>[4,1,2,5,2,5]
[3,3,4,1,4,2]=>[2,6,1,3,1,3]
[3,3,4,2,1,4]=>[4,2,1,5,1,5]
[3,3,4,2,4,1]=>[4,3,1,5,5,1]
[3,3,4,4,1,2]=>[3,1,2,4,4,2]
[3,3,4,4,2,1]=>[3,2,1,4,4,1]
[3,4,1,2,3,4]=>[1,4,2,5,5,2]
[3,4,1,2,4,3]=>[1,4,2,5,2,5]
[3,4,1,3,2,4]=>[3,6,4,1,1,4]
[3,4,1,3,4,2]=>[2,5,3,1,1,3]
[3,4,1,4,2,3]=>[3,6,4,1,4,1]
[3,4,1,4,3,2]=>[2,5,3,1,3,1]
[3,4,2,1,3,4]=>[1,5,2,4,4,2]
[3,4,2,1,4,3]=>[1,5,2,4,2,4]
[3,4,2,3,1,4]=>[1,6,2,4,4,2]
[3,4,2,3,4,1]=>[2,1,3,5,3,5]
[3,4,2,4,1,3]=>[1,6,2,2,4,4]
[3,4,2,4,3,1]=>[2,1,3,3,5,5]
[3,4,3,1,2,4]=>[4,1,5,2,2,5]
[3,4,3,1,4,2]=>[2,6,3,1,1,3]
[3,4,3,2,1,4]=>[4,2,5,1,1,5]
[3,4,3,2,4,1]=>[4,3,5,1,5,1]
[3,4,3,4,1,2]=>[3,1,4,2,4,2]
[3,4,3,4,2,1]=>[3,2,4,1,4,1]
[3,4,4,1,2,3]=>[4,1,5,5,2,2]
[3,4,4,1,3,2]=>[2,6,3,3,1,1]
[3,4,4,2,1,3]=>[4,2,5,5,1,1]
[3,4,4,2,3,1]=>[4,3,5,5,1,1]
[3,4,4,3,1,2]=>[3,1,4,4,2,2]
[3,4,4,3,2,1]=>[3,2,4,4,1,1]
[4,1,2,3,3,4]=>[6,1,3,2,2,3]
[4,1,2,3,4,3]=>[6,1,3,2,3,2]
[4,1,2,4,3,3]=>[6,1,4,2,4,2]
[4,1,3,2,3,4]=>[6,1,2,3,3,2]
[4,1,3,2,4,3]=>[6,1,2,3,2,3]
[4,1,3,3,2,4]=>[6,1,2,4,4,2]
[4,1,3,3,4,2]=>[2,4,5,1,1,5]
[4,1,3,4,2,3]=>[6,1,2,4,2,4]
[4,1,3,4,3,2]=>[2,4,5,1,5,1]
[4,1,4,2,3,3]=>[4,6,2,1,2,1]
[4,1,4,3,2,3]=>[4,6,1,2,1,2]
[4,1,4,3,3,2]=>[4,6,1,3,1,3]
[4,2,1,3,3,4]=>[6,2,3,1,1,3]
[4,2,1,3,4,3]=>[6,2,3,1,3,1]
[4,2,1,4,3,3]=>[6,2,4,1,4,1]
[4,2,3,1,3,4]=>[6,3,2,1,1,2]
[4,2,3,1,4,3]=>[6,3,2,1,2,1]
[4,2,3,3,1,4]=>[6,4,2,1,1,2]
[4,2,3,3,4,1]=>[6,5,2,1,2,1]
[4,2,3,4,1,3]=>[6,4,2,2,1,1]
[4,2,3,4,3,1]=>[6,5,2,2,1,1]
[4,2,4,1,3,3]=>[6,3,4,4,1,1]
[4,2,4,3,1,3]=>[6,4,3,3,1,1]
[4,2,4,3,3,1]=>[6,5,3,3,1,1]
[4,3,1,2,3,4]=>[6,2,1,3,3,1]
[4,3,1,2,4,3]=>[6,2,1,3,1,3]
[4,3,1,3,2,4]=>[6,2,1,4,4,1]
[4,3,1,3,4,2]=>[2,5,4,1,1,4]
[4,3,1,4,2,3]=>[6,2,1,4,1,4]
[4,3,1,4,3,2]=>[2,5,4,1,4,1]
[4,3,2,1,3,4]=>[6,3,1,2,2,1]
[4,3,2,1,4,3]=>[6,3,1,2,1,2]
[4,3,2,3,1,4]=>[6,4,1,2,2,1]
[4,3,2,3,4,1]=>[6,5,1,2,1,2]
[4,3,2,4,1,3]=>[6,4,1,1,2,2]
[4,3,2,4,3,1]=>[6,5,1,1,2,2]
[4,3,3,1,2,4]=>[6,3,1,4,4,1]
[4,3,3,1,4,2]=>[2,6,4,1,1,4]
[4,3,3,2,1,4]=>[6,4,1,3,3,1]
[4,3,3,2,4,1]=>[6,5,1,3,1,3]
[4,3,3,4,1,2]=>[3,1,5,2,5,2]
[4,3,3,4,2,1]=>[3,2,5,1,5,1]
[4,3,4,1,2,3]=>[6,3,1,1,4,4]
[4,3,4,1,3,2]=>[2,6,4,4,1,1]
[4,3,4,2,1,3]=>[6,4,1,1,3,3]
[4,3,4,2,3,1]=>[6,5,1,1,3,3]
[4,3,4,3,1,2]=>[3,1,5,5,2,2]
[4,3,4,3,2,1]=>[3,2,5,5,1,1]
[4,4,1,2,3,3]=>[5,1,3,3,2,2]
[4,4,1,3,2,3]=>[5,1,2,2,3,3]
[4,4,1,3,3,2]=>[5,1,2,2,4,4]
[4,4,2,1,3,3]=>[5,2,3,3,1,1]
[4,4,2,3,1,3]=>[5,3,2,2,1,1]
[4,4,2,3,3,1]=>[5,4,2,2,1,1]
[4,4,3,1,2,3]=>[5,2,1,1,3,3]
[4,4,3,1,3,2]=>[5,2,1,1,4,4]
[4,4,3,2,1,3]=>[5,3,1,1,2,2]
[4,4,3,2,3,1]=>[5,4,1,1,2,2]
[4,4,3,3,1,2]=>[5,3,1,1,4,4]
[4,4,3,3,2,1]=>[5,4,1,1,3,3]
[1,2,3,3,4,5]=>[1,2,3,4,3,5]
[1,2,3,3,5,4]=>[1,2,3,5,3,4]
[1,2,3,4,3,5]=>[1,2,3,4,3,6]
[1,2,3,4,5,3]=>[2,3,4,5,4,1]
[1,2,3,5,3,4]=>[1,2,3,6,3,4]
[1,2,3,5,4,3]=>[2,3,4,1,5,4]
[1,2,4,3,3,5]=>[1,2,3,5,3,6]
[1,2,4,3,5,3]=>[2,3,4,6,4,1]
[1,2,4,5,3,3]=>[3,4,5,1,2,5]
[1,2,5,3,3,4]=>[1,2,3,6,3,5]
[1,2,5,3,4,3]=>[2,3,4,1,6,4]
[1,2,5,4,3,3]=>[3,4,5,2,1,5]
[1,3,2,3,4,5]=>[1,2,4,3,4,5]
[1,3,2,3,5,4]=>[1,2,4,5,4,3]
[1,3,2,4,3,5]=>[1,2,4,3,4,6]
[1,3,2,4,5,3]=>[2,3,5,4,5,1]
[1,3,2,5,3,4]=>[1,2,4,6,4,3]
[1,3,2,5,4,3]=>[2,3,5,1,4,5]
[1,3,3,2,4,5]=>[1,2,5,3,5,4]
[1,3,3,2,5,4]=>[1,2,5,4,5,3]
[1,3,3,4,2,5]=>[3,4,1,5,1,6]
[1,3,3,4,5,2]=>[2,3,1,4,1,5]
[1,3,3,5,2,4]=>[3,4,1,6,1,5]
[1,3,3,5,4,2]=>[2,3,1,5,1,4]
[1,3,4,2,3,5]=>[4,5,1,6,1,2]
[1,3,4,2,5,3]=>[4,5,1,6,1,3]
[1,3,4,3,2,5]=>[4,5,2,6,2,1]
[1,3,4,3,5,2]=>[2,3,1,4,1,6]
[1,3,4,5,2,3]=>[3,4,1,5,1,2]
[1,3,4,5,3,2]=>[3,4,2,5,2,1]
[1,3,5,2,3,4]=>[4,5,1,2,1,6]
[1,3,5,2,4,3]=>[4,5,1,3,6,1]
[1,3,5,3,2,4]=>[4,5,2,1,2,6]
[1,3,5,3,4,2]=>[2,3,1,6,1,4]
[1,3,5,4,2,3]=>[3,4,1,2,5,1]
[1,3,5,4,3,2]=>[3,4,2,1,5,2]
[1,4,2,3,3,5]=>[5,6,1,2,1,3]
[1,4,2,3,5,3]=>[5,6,1,2,1,4]
[1,4,2,5,3,3]=>[5,6,1,3,4,1]
[1,4,3,2,3,5]=>[5,6,2,1,2,3]
[1,4,3,2,5,3]=>[5,6,2,1,2,4]
[1,4,3,3,2,5]=>[5,6,3,1,3,2]
[1,4,3,3,5,2]=>[2,3,1,5,1,6]
[1,4,3,5,2,3]=>[3,4,1,6,1,2]
[1,4,3,5,3,2]=>[3,4,2,6,2,1]
[1,4,5,2,3,3]=>[4,5,1,2,3,1]
[1,4,5,3,2,3]=>[4,5,2,1,3,2]
[1,4,5,3,3,2]=>[4,5,3,1,2,3]
[1,5,2,3,3,4]=>[5,6,1,3,1,2]
[1,5,2,3,4,3]=>[5,6,1,4,2,1]
[1,5,2,4,3,3]=>[5,6,1,4,3,1]
[1,5,3,2,3,4]=>[5,6,2,3,2,1]
[1,5,3,2,4,3]=>[5,6,2,4,1,2]
[1,5,3,3,2,4]=>[5,6,3,2,3,1]
[1,5,3,3,4,2]=>[2,3,1,6,1,5]
[1,5,3,4,2,3]=>[3,4,1,2,6,1]
[1,5,3,4,3,2]=>[3,4,2,1,6,2]
[1,5,4,2,3,3]=>[4,5,1,3,2,1]
[1,5,4,3,2,3]=>[4,5,2,3,1,2]
[1,5,4,3,3,2]=>[4,5,3,2,1,3]
[2,1,3,3,4,5]=>[1,3,2,4,2,5]
[2,1,3,3,5,4]=>[1,3,2,5,2,4]
[2,1,3,4,3,5]=>[1,3,2,4,2,6]
[2,1,3,4,5,3]=>[2,4,3,5,3,1]
[2,1,3,5,3,4]=>[1,3,2,6,2,4]
[2,1,3,5,4,3]=>[2,4,3,1,5,3]
[2,1,4,3,3,5]=>[1,3,2,5,2,6]
[2,1,4,3,5,3]=>[2,4,3,6,3,1]
[2,1,4,5,3,3]=>[3,5,4,1,2,4]
[2,1,5,3,3,4]=>[1,3,2,6,2,5]
[2,1,5,3,4,3]=>[2,4,3,1,6,3]
[2,1,5,4,3,3]=>[3,5,4,2,1,4]
[2,3,1,3,4,5]=>[1,4,2,3,2,5]
[2,3,1,3,5,4]=>[1,4,2,5,2,3]
[2,3,1,4,3,5]=>[1,4,2,3,2,6]
[2,3,1,4,5,3]=>[2,5,3,4,3,1]
[2,3,1,5,3,4]=>[1,4,2,6,2,3]
[2,3,1,5,4,3]=>[2,5,3,1,4,3]
[2,3,3,1,4,5]=>[1,5,2,3,2,4]
[2,3,3,1,5,4]=>[1,5,2,4,2,3]
[2,3,3,4,1,5]=>[1,6,3,2,2,4]
[2,3,3,4,5,1]=>[2,1,4,3,5,3]
[2,3,3,5,1,4]=>[1,6,4,2,2,3]
[2,3,3,5,4,1]=>[2,1,5,3,4,3]
[2,3,4,1,3,5]=>[1,5,3,2,2,6]
[2,3,4,1,5,3]=>[2,6,4,3,3,1]
[2,3,4,3,1,5]=>[1,6,3,2,2,5]
[2,3,4,3,5,1]=>[2,1,4,3,6,3]
[2,3,4,5,1,3]=>[3,1,5,4,2,4]
[2,3,4,5,3,1]=>[3,2,5,4,1,4]
[2,3,5,1,3,4]=>[1,5,6,2,2,3]
[2,3,5,1,4,3]=>[2,6,1,3,4,3]
[2,3,5,3,1,4]=>[1,6,5,2,2,3]
[2,3,5,3,4,1]=>[2,1,6,3,4,3]
[2,3,5,4,1,3]=>[3,1,2,5,4,4]
[2,3,5,4,3,1]=>[3,2,1,5,4,4]
[2,4,1,3,3,5]=>[1,4,5,2,2,6]
[2,4,1,3,5,3]=>[2,5,6,3,3,1]
[2,4,1,5,3,3]=>[3,6,1,4,2,4]
[2,4,3,1,3,5]=>[1,5,4,2,2,6]
[2,4,3,1,5,3]=>[2,6,5,3,3,1]
[2,4,3,3,1,5]=>[1,6,4,2,2,5]
[2,4,3,3,5,1]=>[2,1,5,3,6,3]
[2,4,3,5,1,3]=>[3,1,6,4,2,4]
[2,4,3,5,3,1]=>[3,2,6,4,1,4]
[2,4,5,1,3,3]=>[4,1,2,3,5,5]
[2,4,5,3,1,3]=>[4,2,1,3,5,5]
[2,4,5,3,3,1]=>[4,3,1,2,5,5]
[2,5,1,3,3,4]=>[1,4,6,2,2,5]
[2,5,1,3,4,3]=>[2,5,1,3,6,3]
[2,5,1,4,3,3]=>[3,6,2,4,1,4]
[2,5,3,1,3,4]=>[1,5,6,2,2,4]
[2,5,3,1,4,3]=>[2,6,1,3,5,3]
[2,5,3,3,1,4]=>[1,6,5,2,2,4]
[2,5,3,3,4,1]=>[2,1,6,3,5,3]
[2,5,3,4,1,3]=>[3,1,2,6,4,4]
[2,5,3,4,3,1]=>[3,2,1,6,4,4]
[2,5,4,1,3,3]=>[4,1,3,2,5,5]
[2,5,4,3,1,3]=>[4,2,3,1,5,5]
[2,5,4,3,3,1]=>[4,3,2,1,5,5]
[3,1,2,3,4,5]=>[1,3,4,2,4,5]
[3,1,2,3,5,4]=>[1,3,4,5,4,2]
[3,1,2,4,3,5]=>[1,3,4,2,4,6]
[3,1,2,4,5,3]=>[2,4,5,3,5,1]
[3,1,2,5,3,4]=>[1,3,4,6,4,2]
[3,1,2,5,4,3]=>[2,4,5,1,3,5]
[3,1,3,2,4,5]=>[1,3,5,2,5,4]
[3,1,3,2,5,4]=>[1,3,5,4,5,2]
[3,1,3,4,2,5]=>[3,5,1,4,1,6]
[3,1,3,4,5,2]=>[2,4,1,3,1,5]
[3,1,3,5,2,4]=>[3,5,1,6,1,4]
[3,1,3,5,4,2]=>[2,4,1,5,1,3]
[3,1,4,2,3,5]=>[4,6,1,5,1,2]
[3,1,4,2,5,3]=>[4,6,1,5,1,3]
[3,1,4,3,2,5]=>[4,6,2,5,2,1]
[3,1,4,3,5,2]=>[2,4,1,3,1,6]
[3,1,4,5,2,3]=>[3,5,1,4,1,2]
[3,1,4,5,3,2]=>[3,5,2,4,2,1]
[3,1,5,2,3,4]=>[4,6,1,2,1,5]
[3,1,5,2,4,3]=>[4,6,1,3,5,1]
[3,1,5,3,2,4]=>[4,6,2,1,2,5]
[3,1,5,3,4,2]=>[2,4,1,6,1,3]
[3,1,5,4,2,3]=>[3,5,1,2,4,1]
[3,1,5,4,3,2]=>[3,5,2,1,4,2]
[3,2,1,3,4,5]=>[1,4,3,2,3,5]
[3,2,1,3,5,4]=>[1,4,3,5,3,2]
[3,2,1,4,3,5]=>[1,4,3,2,3,6]
[3,2,1,4,5,3]=>[2,5,4,3,4,1]
[3,2,1,5,3,4]=>[1,4,3,6,3,2]
[3,2,1,5,4,3]=>[2,5,4,1,3,4]
[3,2,3,1,4,5]=>[1,5,3,2,3,4]
[3,2,3,1,5,4]=>[1,5,3,4,3,2]
[3,2,3,4,1,5]=>[1,6,2,3,3,4]
[3,2,3,4,5,1]=>[2,1,3,4,5,4]
[3,2,3,5,1,4]=>[1,6,4,3,3,2]
[3,2,3,5,4,1]=>[2,1,5,4,3,4]
[3,2,4,1,3,5]=>[1,5,2,3,3,6]
[3,2,4,1,5,3]=>[2,6,3,4,4,1]
[3,2,4,3,1,5]=>[1,6,2,3,3,5]
[3,2,4,3,5,1]=>[2,1,3,4,6,4]
[3,2,4,5,1,3]=>[3,1,4,5,2,5]
[3,2,4,5,3,1]=>[3,2,4,5,1,5]
[3,2,5,1,3,4]=>[1,5,6,3,3,2]
[3,2,5,1,4,3]=>[2,6,1,4,3,4]
[3,2,5,3,1,4]=>[1,6,5,3,3,2]
[3,2,5,3,4,1]=>[2,1,6,4,3,4]
[3,2,5,4,1,3]=>[3,1,2,4,5,5]
[3,2,5,4,3,1]=>[3,2,1,4,5,5]
[3,3,1,2,4,5]=>[1,4,5,2,5,3]
[3,3,1,2,5,4]=>[1,4,5,3,5,2]
[3,3,1,4,2,5]=>[3,6,1,4,1,5]
[3,3,1,4,5,2]=>[2,5,1,3,1,4]
[3,3,1,5,2,4]=>[3,6,1,5,1,4]
[3,3,1,5,4,2]=>[2,5,1,4,1,3]
[3,3,2,1,4,5]=>[1,5,4,2,4,3]
[3,3,2,1,5,4]=>[1,5,4,3,4,2]
[3,3,2,4,1,5]=>[1,6,2,4,4,3]
[3,3,2,4,5,1]=>[2,1,3,5,4,5]
[3,3,2,5,1,4]=>[1,6,3,4,4,2]
[3,3,2,5,4,1]=>[2,1,4,5,3,5]
[3,3,4,1,2,5]=>[4,1,5,2,2,6]
[3,3,4,1,5,2]=>[2,6,3,1,1,4]
[3,3,4,2,1,5]=>[4,2,5,1,1,6]
[3,3,4,2,5,1]=>[4,3,5,1,6,1]
[3,3,4,5,1,2]=>[3,1,4,2,5,2]
[3,3,4,5,2,1]=>[3,2,4,1,5,1]
[3,3,5,1,2,4]=>[4,1,6,2,2,5]
[3,3,5,1,4,2]=>[2,6,4,1,1,3]
[3,3,5,2,1,4]=>[4,2,6,1,1,5]
[3,3,5,2,4,1]=>[4,3,6,1,5,1]
[3,3,5,4,1,2]=>[3,1,5,2,4,2]
[3,3,5,4,2,1]=>[3,2,5,1,4,1]
[3,4,1,2,3,5]=>[5,1,6,2,2,3]
[3,4,1,2,5,3]=>[5,1,6,2,2,4]
[3,4,1,3,2,5]=>[5,1,6,3,3,2]
[3,4,1,3,5,2]=>[2,5,3,1,1,6]
[3,4,1,5,2,3]=>[3,6,4,1,1,2]
[3,4,1,5,3,2]=>[3,6,4,2,2,1]
[3,4,2,1,3,5]=>[5,2,6,1,1,3]
[3,4,2,1,5,3]=>[5,2,6,1,1,4]
[3,4,2,3,1,5]=>[5,3,6,1,1,2]
[3,4,2,3,5,1]=>[5,4,6,1,2,1]
[3,4,2,5,1,3]=>[5,3,6,1,4,1]
[3,4,2,5,3,1]=>[5,4,6,1,3,1]
[3,4,3,1,2,5]=>[5,2,6,3,3,1]
[3,4,3,1,5,2]=>[2,6,3,1,1,5]
[3,4,3,2,1,5]=>[5,3,6,2,2,1]
[3,4,3,2,5,1]=>[5,4,6,2,1,2]
[3,4,3,5,1,2]=>[3,1,4,2,6,2]
[3,4,3,5,2,1]=>[3,2,4,1,6,1]
[3,4,5,1,2,3]=>[4,1,5,2,3,2]
[3,4,5,1,3,2]=>[4,1,5,3,2,3]
[3,4,5,2,1,3]=>[4,2,5,1,3,1]
[3,4,5,2,3,1]=>[4,3,5,1,2,1]
[3,4,5,3,1,2]=>[4,2,5,3,1,3]
[3,4,5,3,2,1]=>[4,3,5,2,1,2]
[3,5,1,2,3,4]=>[5,1,3,2,2,6]
[3,5,1,2,4,3]=>[5,1,4,2,6,2]
[3,5,1,3,2,4]=>[5,1,2,3,3,6]
[3,5,1,3,4,2]=>[2,5,6,1,1,3]
[3,5,1,4,2,3]=>[3,6,2,1,4,1]
[3,5,1,4,3,2]=>[3,6,1,2,4,2]
[3,5,2,1,3,4]=>[5,2,3,1,1,6]
[3,5,2,1,4,3]=>[5,2,4,1,6,1]
[3,5,2,3,1,4]=>[5,3,2,1,1,6]
[3,5,2,3,4,1]=>[5,4,2,1,6,1]
[3,5,2,4,1,3]=>[5,3,4,6,1,1]
[3,5,2,4,3,1]=>[5,4,3,6,1,1]
[3,5,3,1,2,4]=>[5,2,1,3,3,6]
[3,5,3,1,4,2]=>[2,6,5,1,1,3]
[3,5,3,2,1,4]=>[5,3,1,2,2,6]
[3,5,3,2,4,1]=>[5,4,1,2,6,2]
[3,5,3,4,1,2]=>[3,1,6,2,4,2]
[3,5,3,4,2,1]=>[3,2,6,1,4,1]
[3,5,4,1,2,3]=>[4,1,3,5,2,2]
[3,5,4,1,3,2]=>[4,1,2,5,3,3]
[3,5,4,2,1,3]=>[4,2,3,5,1,1]
[3,5,4,2,3,1]=>[4,3,2,5,1,1]
[3,5,4,3,1,2]=>[4,2,1,5,3,3]
[3,5,4,3,2,1]=>[4,3,1,5,2,2]
[4,1,2,3,3,5]=>[6,1,3,2,2,4]
[4,1,2,3,5,3]=>[6,1,3,2,2,5]
[4,1,2,5,3,3]=>[6,1,4,2,5,2]
[4,1,3,2,3,5]=>[6,1,2,3,3,4]
[4,1,3,2,5,3]=>[6,1,2,3,3,5]
[4,1,3,3,2,5]=>[6,1,2,4,4,3]
[4,1,3,3,5,2]=>[2,4,5,1,1,6]
[4,1,3,5,2,3]=>[3,5,6,1,1,2]
[4,1,3,5,3,2]=>[3,5,6,2,2,1]
[4,1,5,2,3,3]=>[4,6,2,1,3,1]
[4,1,5,3,2,3]=>[4,6,1,2,3,2]
[4,1,5,3,3,2]=>[4,6,1,3,2,3]
[4,2,1,3,3,5]=>[6,2,3,1,1,4]
[4,2,1,3,5,3]=>[6,2,3,1,1,5]
[4,2,1,5,3,3]=>[6,2,4,1,5,1]
[4,2,3,1,3,5]=>[6,3,2,1,1,4]
[4,2,3,1,5,3]=>[6,3,2,1,1,5]
[4,2,3,3,1,5]=>[6,4,2,1,1,3]
[4,2,3,3,5,1]=>[6,5,2,1,3,1]
[4,2,3,5,1,3]=>[6,4,2,1,5,1]
[4,2,3,5,3,1]=>[6,5,2,1,4,1]
[4,2,5,1,3,3]=>[6,3,4,5,1,1]
[4,2,5,3,1,3]=>[6,4,3,5,1,1]
[4,2,5,3,3,1]=>[6,5,3,4,1,1]
[4,3,1,2,3,5]=>[6,2,1,3,3,4]
[4,3,1,2,5,3]=>[6,2,1,3,3,5]
[4,3,1,3,2,5]=>[6,2,1,4,4,3]
[4,3,1,3,5,2]=>[2,5,4,1,1,6]
[4,3,1,5,2,3]=>[3,6,5,1,1,2]
[4,3,1,5,3,2]=>[3,6,5,2,2,1]
[4,3,2,1,3,5]=>[6,3,1,2,2,4]
[4,3,2,1,5,3]=>[6,3,1,2,2,5]
[4,3,2,3,1,5]=>[6,4,1,2,2,3]
[4,3,2,3,5,1]=>[6,5,1,2,3,2]
[4,3,2,5,1,3]=>[6,4,1,2,5,2]
[4,3,2,5,3,1]=>[6,5,1,2,4,2]
[4,3,3,1,2,5]=>[6,3,1,4,4,2]
[4,3,3,1,5,2]=>[2,6,4,1,1,5]
[4,3,3,2,1,5]=>[6,4,1,3,3,2]
[4,3,3,2,5,1]=>[6,5,1,3,2,3]
[4,3,3,5,1,2]=>[3,1,5,2,6,2]
[4,3,3,5,2,1]=>[3,2,5,1,6,1]
[4,3,5,1,2,3]=>[4,1,6,2,3,2]
[4,3,5,1,3,2]=>[4,1,6,3,2,3]
[4,3,5,2,1,3]=>[4,2,6,1,3,1]
[4,3,5,2,3,1]=>[4,3,6,1,2,1]
[4,3,5,3,1,2]=>[4,2,6,3,1,3]
[4,3,5,3,2,1]=>[4,3,6,2,1,2]
[4,5,1,2,3,3]=>[5,1,3,4,2,2]
[4,5,1,3,2,3]=>[5,1,2,4,3,3]
[4,5,1,3,3,2]=>[5,1,2,3,4,4]
[4,5,2,1,3,3]=>[5,2,3,4,1,1]
[4,5,2,3,1,3]=>[5,3,2,4,1,1]
[4,5,2,3,3,1]=>[5,4,2,3,1,1]
[4,5,3,1,2,3]=>[5,2,1,4,3,3]
[4,5,3,1,3,2]=>[5,2,1,3,4,4]
[4,5,3,2,1,3]=>[5,3,1,4,2,2]
[4,5,3,2,3,1]=>[5,4,1,3,2,2]
[4,5,3,3,1,2]=>[5,3,1,2,4,4]
[4,5,3,3,2,1]=>[5,4,1,2,3,3]
[5,1,2,3,3,4]=>[6,1,4,2,2,3]
[5,1,2,3,4,3]=>[6,1,5,2,3,2]
[5,1,2,4,3,3]=>[6,1,5,2,4,2]
[5,1,3,2,3,4]=>[6,1,4,3,3,2]
[5,1,3,2,4,3]=>[6,1,5,3,2,3]
[5,1,3,3,2,4]=>[6,1,3,4,4,2]
[5,1,3,3,4,2]=>[2,4,6,1,1,5]
[5,1,3,4,2,3]=>[3,5,2,1,6,1]
[5,1,3,4,3,2]=>[3,5,1,2,6,2]
[5,1,4,2,3,3]=>[4,6,3,1,2,1]
[5,1,4,3,2,3]=>[4,6,3,2,1,2]
[5,1,4,3,3,2]=>[4,6,2,3,1,3]
[5,2,1,3,3,4]=>[6,2,4,1,1,3]
[5,2,1,3,4,3]=>[6,2,5,1,3,1]
[5,2,1,4,3,3]=>[6,2,5,1,4,1]
[5,2,3,1,3,4]=>[6,3,4,1,1,2]
[5,2,3,1,4,3]=>[6,3,5,1,2,1]
[5,2,3,3,1,4]=>[6,4,3,1,1,2]
[5,2,3,3,4,1]=>[6,5,3,1,2,1]
[5,2,3,4,1,3]=>[6,4,5,2,1,1]
[5,2,3,4,3,1]=>[6,5,4,2,1,1]
[5,2,4,1,3,3]=>[6,3,5,4,1,1]
[5,2,4,3,1,3]=>[6,4,5,3,1,1]
[5,2,4,3,3,1]=>[6,5,4,3,1,1]
[5,3,1,2,3,4]=>[6,2,4,3,3,1]
[5,3,1,2,4,3]=>[6,2,5,3,1,3]
[5,3,1,3,2,4]=>[6,2,3,4,4,1]
[5,3,1,3,4,2]=>[2,5,6,1,1,4]
[5,3,1,4,2,3]=>[3,6,2,1,5,1]
[5,3,1,4,3,2]=>[3,6,1,2,5,2]
[5,3,2,1,3,4]=>[6,3,4,2,2,1]
[5,3,2,1,4,3]=>[6,3,5,2,1,2]
[5,3,2,3,1,4]=>[6,4,3,2,2,1]
[5,3,2,3,4,1]=>[6,5,3,2,1,2]
[5,3,2,4,1,3]=>[6,4,5,1,2,2]
[5,3,2,4,3,1]=>[6,5,4,1,2,2]
[5,3,3,1,2,4]=>[6,3,2,4,4,1]
[5,3,3,1,4,2]=>[2,6,5,1,1,4]
[5,3,3,2,1,4]=>[6,4,2,3,3,1]
[5,3,3,2,4,1]=>[6,5,2,3,1,3]
[5,3,3,4,1,2]=>[3,1,6,2,5,2]
[5,3,3,4,2,1]=>[3,2,6,1,5,1]
[5,3,4,1,2,3]=>[4,1,3,6,2,2]
[5,3,4,1,3,2]=>[4,1,2,6,3,3]
[5,3,4,2,1,3]=>[4,2,3,6,1,1]
[5,3,4,2,3,1]=>[4,3,2,6,1,1]
[5,3,4,3,1,2]=>[4,2,1,6,3,3]
[5,3,4,3,2,1]=>[4,3,1,6,2,2]
[5,4,1,2,3,3]=>[5,1,4,3,2,2]
[5,4,1,3,2,3]=>[5,1,4,2,3,3]
[5,4,1,3,3,2]=>[5,1,3,2,4,4]
[5,4,2,1,3,3]=>[5,2,4,3,1,1]
[5,4,2,3,1,3]=>[5,3,4,2,1,1]
[5,4,2,3,3,1]=>[5,4,3,2,1,1]
[5,4,3,1,2,3]=>[5,2,4,1,3,3]
[5,4,3,1,3,2]=>[5,2,3,1,4,4]
[5,4,3,2,1,3]=>[5,3,4,1,2,2]
[5,4,3,2,3,1]=>[5,4,3,1,2,2]
[5,4,3,3,1,2]=>[5,3,2,1,4,4]
[5,4,3,3,2,1]=>[5,4,2,1,3,3]
[1,2,3,3,4,6]=>[1,2,3,3,4,6]
[1,2,3,3,6,4]=>[2,3,4,4,5,1]
[1,2,3,4,3,6]=>[1,2,3,3,4,5]
[1,2,3,4,6,3]=>[1,2,3,5,4,3]
[1,2,3,6,3,4]=>[2,3,4,1,4,5]
[1,2,3,6,4,3]=>[1,2,3,6,4,3]
[1,2,4,3,3,6]=>[1,2,3,3,5,4]
[1,2,4,3,6,3]=>[1,2,3,4,5,3]
[1,2,4,6,3,3]=>[1,2,3,4,6,3]
[1,2,6,3,3,4]=>[2,3,4,1,4,6]
[1,2,6,3,4,3]=>[1,2,3,6,5,3]
[1,2,6,4,3,3]=>[1,2,3,5,6,3]
[1,3,2,3,4,6]=>[1,2,4,4,3,6]
[1,3,2,3,6,4]=>[2,3,5,5,4,1]
[1,3,2,4,3,6]=>[1,2,4,4,3,5]
[1,3,2,4,6,3]=>[1,2,4,5,3,4]
[1,3,2,6,3,4]=>[2,3,5,1,5,4]
[1,3,2,6,4,3]=>[1,2,4,6,3,4]
[1,3,3,2,4,6]=>[4,5,1,1,6,2]
[1,3,3,2,6,4]=>[4,5,1,1,6,3]
[1,3,3,4,2,6]=>[4,5,2,2,6,1]
[1,3,3,4,6,2]=>[2,3,1,1,6,4]
[1,3,3,6,2,4]=>[3,4,1,1,2,5]
[1,3,3,6,4,2]=>[3,4,2,2,1,5]
[1,3,4,2,3,6]=>[1,2,5,5,3,4]
[1,3,4,2,6,3]=>[1,2,5,4,3,5]
[1,3,4,3,2,6]=>[3,4,1,1,5,6]
[1,3,4,3,6,2]=>[2,3,1,1,5,4]
[1,3,4,6,2,3]=>[3,4,1,6,5,1]
[1,3,4,6,3,2]=>[2,3,1,5,4,1]
[1,3,6,2,3,4]=>[4,5,1,3,1,6]
[1,3,6,2,4,3]=>[4,5,1,2,6,1]
[1,3,6,3,2,4]=>[3,4,1,2,1,5]
[1,3,6,3,4,2]=>[3,4,2,1,2,5]
[1,3,6,4,2,3]=>[4,5,2,1,6,2]
[1,3,6,4,3,2]=>[2,3,1,6,4,1]
[1,4,2,3,3,6]=>[1,2,4,4,5,3]
[1,4,2,3,6,3]=>[1,2,4,3,5,4]
[1,4,2,6,3,3]=>[1,2,4,3,6,4]
[1,4,3,2,3,6]=>[1,2,5,5,4,3]
[1,4,3,2,6,3]=>[1,2,5,3,4,5]
[1,4,3,3,2,6]=>[3,4,1,1,6,5]
[1,4,3,3,6,2]=>[2,3,1,1,4,5]
[1,4,3,6,2,3]=>[3,4,1,5,6,1]
[1,4,3,6,3,2]=>[2,3,1,4,5,1]
[1,4,6,2,3,3]=>[4,5,1,6,2,1]
[1,4,6,3,2,3]=>[4,5,2,6,1,2]
[1,4,6,3,3,2]=>[2,3,1,4,6,1]
[1,6,2,3,3,4]=>[5,6,1,4,1,2]
[1,6,2,3,4,3]=>[5,6,1,3,2,1]
[1,6,2,4,3,3]=>[5,6,1,2,3,1]
[1,6,3,2,3,4]=>[5,6,2,4,2,1]
[1,6,3,2,4,3]=>[5,6,2,3,1,2]
[1,6,3,3,2,4]=>[3,4,1,2,1,6]
[1,6,3,3,4,2]=>[3,4,2,1,2,6]
[1,6,3,4,2,3]=>[5,6,3,2,1,3]
[1,6,3,4,3,2]=>[2,3,1,6,5,1]
[1,6,4,2,3,3]=>[5,6,2,1,3,2]
[1,6,4,3,2,3]=>[5,6,3,1,2,3]
[1,6,4,3,3,2]=>[2,3,1,5,6,1]
[2,1,3,3,4,6]=>[1,3,2,2,4,6]
[2,1,3,3,6,4]=>[2,4,3,3,5,1]
[2,1,3,4,3,6]=>[1,3,2,2,4,5]
[2,1,3,4,6,3]=>[1,3,2,5,4,2]
[2,1,3,6,3,4]=>[2,4,3,1,3,5]
[2,1,3,6,4,3]=>[1,3,2,6,4,2]
[2,1,4,3,3,6]=>[1,3,2,2,5,4]
[2,1,4,3,6,3]=>[1,3,2,4,5,2]
[2,1,4,6,3,3]=>[1,3,2,4,6,2]
[2,1,6,3,3,4]=>[2,4,3,1,3,6]
[2,1,6,3,4,3]=>[1,3,2,6,5,2]
[2,1,6,4,3,3]=>[1,3,2,5,6,2]
[2,3,1,3,4,6]=>[1,4,2,2,3,6]
[2,3,1,3,6,4]=>[2,5,3,3,4,1]
[2,3,1,4,3,6]=>[1,4,2,2,3,5]
[2,3,1,4,6,3]=>[1,4,2,5,3,2]
[2,3,1,6,3,4]=>[2,5,3,1,3,4]
[2,3,1,6,4,3]=>[1,4,2,6,3,2]
[2,3,3,1,4,6]=>[1,5,2,2,3,6]
[2,3,3,1,6,4]=>[2,6,3,3,4,1]
[2,3,3,4,1,6]=>[1,6,2,2,3,5]
[2,3,3,4,6,1]=>[2,1,3,6,4,3]
[2,3,3,6,1,4]=>[3,1,4,2,4,5]
[2,3,3,6,4,1]=>[3,2,4,1,5,4]
[2,3,4,1,3,6]=>[1,5,2,2,3,4]
[2,3,4,1,6,3]=>[1,5,2,4,3,2]
[2,3,4,3,1,6]=>[1,6,2,2,3,4]
[2,3,4,3,6,1]=>[2,1,3,5,4,3]
[2,3,4,6,1,3]=>[1,6,4,3,2,2]
[2,3,4,6,3,1]=>[2,1,5,4,3,3]
[2,3,6,1,3,4]=>[2,6,1,3,3,4]
[2,3,6,1,4,3]=>[1,5,6,2,3,2]
[2,3,6,3,1,4]=>[3,1,2,4,4,5]
[2,3,6,3,4,1]=>[3,2,1,4,5,4]
[2,3,6,4,1,3]=>[1,6,5,3,2,2]
[2,3,6,4,3,1]=>[2,1,6,4,3,3]
[2,4,1,3,3,6]=>[1,4,2,2,5,3]
[2,4,1,3,6,3]=>[1,4,2,3,5,2]
[2,4,1,6,3,3]=>[1,4,2,3,6,2]
[2,4,3,1,3,6]=>[1,5,2,2,4,3]
[2,4,3,1,6,3]=>[1,5,2,3,4,2]
[2,4,3,3,1,6]=>[1,6,2,2,4,3]
[2,4,3,3,6,1]=>[2,1,3,4,5,3]
[2,4,3,6,1,3]=>[1,6,3,4,2,2]
[2,4,3,6,3,1]=>[2,1,4,5,3,3]
[2,4,6,1,3,3]=>[1,5,3,6,2,2]
[2,4,6,3,1,3]=>[1,6,3,5,2,2]
[2,4,6,3,3,1]=>[2,1,4,6,3,3]
[2,6,1,3,3,4]=>[2,5,1,3,3,6]
[2,6,1,3,4,3]=>[1,4,6,2,5,2]
[2,6,1,4,3,3]=>[1,4,5,2,6,2]
[2,6,3,1,3,4]=>[2,6,1,3,3,5]
[2,6,3,1,4,3]=>[1,5,6,2,4,2]
[2,6,3,3,1,4]=>[3,1,2,4,4,6]
[2,6,3,3,4,1]=>[3,2,1,4,6,4]
[2,6,3,4,1,3]=>[1,6,5,4,2,2]
[2,6,3,4,3,1]=>[2,1,6,5,3,3]
[2,6,4,1,3,3]=>[1,5,4,6,2,2]
[2,6,4,3,1,3]=>[1,6,4,5,2,2]
[2,6,4,3,3,1]=>[2,1,5,6,3,3]
[3,1,2,3,4,6]=>[1,3,4,4,2,6]
[3,1,2,3,6,4]=>[2,4,5,5,3,1]
[3,1,2,4,3,6]=>[1,3,4,4,2,5]
[3,1,2,4,6,3]=>[1,3,4,5,2,4]
[3,1,2,6,3,4]=>[2,4,5,1,5,3]
[3,1,2,6,4,3]=>[1,3,4,6,2,4]
[3,1,3,2,4,6]=>[4,6,1,1,5,2]
[3,1,3,2,6,4]=>[4,6,1,1,5,3]
[3,1,3,4,2,6]=>[4,6,2,2,5,1]
[3,1,3,4,6,2]=>[2,4,1,1,6,3]
[3,1,3,6,2,4]=>[3,5,1,1,2,4]
[3,1,3,6,4,2]=>[3,5,2,2,1,4]
[3,1,4,2,3,6]=>[1,3,5,5,2,4]
[3,1,4,2,6,3]=>[1,3,5,4,2,5]
[3,1,4,3,2,6]=>[3,5,1,1,4,6]
[3,1,4,3,6,2]=>[2,4,1,1,5,3]
[3,1,4,6,2,3]=>[3,5,1,6,4,1]
[3,1,4,6,3,2]=>[2,4,1,5,3,1]
[3,1,6,2,3,4]=>[4,6,1,3,1,5]
[3,1,6,2,4,3]=>[4,6,1,2,5,1]
[3,1,6,3,2,4]=>[3,5,1,2,1,4]
[3,1,6,3,4,2]=>[3,5,2,1,2,4]
[3,1,6,4,2,3]=>[4,6,2,1,5,2]
[3,1,6,4,3,2]=>[2,4,1,6,3,1]
[3,2,1,3,4,6]=>[1,4,3,3,2,6]
[3,2,1,3,6,4]=>[2,5,4,4,3,1]
[3,2,1,4,3,6]=>[1,4,3,3,2,5]
[3,2,1,4,6,3]=>[1,4,3,5,2,3]
[3,2,1,6,3,4]=>[2,5,4,1,4,3]
[3,2,1,6,4,3]=>[1,4,3,6,2,3]
[3,2,3,1,4,6]=>[1,5,3,3,2,6]
[3,2,3,1,6,4]=>[2,6,4,4,3,1]
[3,2,3,4,1,6]=>[1,6,3,3,2,5]
[3,2,3,4,6,1]=>[2,1,4,6,3,4]
[3,2,3,6,1,4]=>[3,1,5,2,5,4]
[3,2,3,6,4,1]=>[3,2,5,1,4,5]
[3,2,4,1,3,6]=>[1,5,3,3,2,4]
[3,2,4,1,6,3]=>[1,5,3,4,2,3]
[3,2,4,3,1,6]=>[1,6,3,3,2,4]
[3,2,4,3,6,1]=>[2,1,4,5,3,4]
[3,2,4,6,1,3]=>[1,6,4,2,3,3]
[3,2,4,6,3,1]=>[2,1,5,3,4,4]
[3,2,6,1,3,4]=>[2,6,1,4,4,3]
[3,2,6,1,4,3]=>[1,5,6,3,2,3]
[3,2,6,3,1,4]=>[3,1,2,5,5,4]
[3,2,6,3,4,1]=>[3,2,1,5,4,5]
[3,2,6,4,1,3]=>[1,6,5,2,3,3]
[3,2,6,4,3,1]=>[2,1,6,3,4,4]
[3,3,1,2,4,6]=>[5,1,2,2,6,3]
[3,3,1,2,6,4]=>[5,1,2,2,6,4]
[3,3,1,4,2,6]=>[5,1,3,3,6,2]
[3,3,1,4,6,2]=>[2,5,1,1,6,3]
[3,3,1,6,2,4]=>[3,6,1,1,2,4]
[3,3,1,6,4,2]=>[3,6,2,2,1,4]
[3,3,2,1,4,6]=>[5,2,1,1,6,3]
[3,3,2,1,6,4]=>[5,2,1,1,6,4]
[3,3,2,4,1,6]=>[5,3,1,1,6,2]
[3,3,2,4,6,1]=>[5,4,1,2,6,1]
[3,3,2,6,1,4]=>[5,3,1,4,1,6]
[3,3,2,6,4,1]=>[5,4,1,3,6,1]
[3,3,4,1,2,6]=>[5,2,3,3,6,1]
[3,3,4,1,6,2]=>[2,6,1,1,5,3]
[3,3,4,2,1,6]=>[5,3,2,2,6,1]
[3,3,4,2,6,1]=>[5,4,2,1,6,2]
[3,3,4,6,1,2]=>[3,1,2,6,4,2]
[3,3,4,6,2,1]=>[3,2,1,6,4,1]
[3,3,6,1,2,4]=>[4,1,2,3,2,5]
[3,3,6,1,4,2]=>[4,1,3,2,3,5]
[3,3,6,2,1,4]=>[4,2,1,3,1,5]
[3,3,6,2,4,1]=>[4,3,1,2,5,1]
[3,3,6,4,1,2]=>[4,2,3,1,5,3]
[3,3,6,4,2,1]=>[4,3,2,1,5,2]
[3,4,1,2,3,6]=>[1,4,5,5,2,3]
[3,4,1,2,6,3]=>[1,4,5,3,2,5]
[3,4,1,3,2,6]=>[3,6,1,1,4,5]
[3,4,1,3,6,2]=>[2,5,1,1,4,3]
[3,4,1,6,2,3]=>[3,6,1,5,4,1]
[3,4,1,6,3,2]=>[2,5,1,4,3,1]
[3,4,2,1,3,6]=>[1,5,4,4,2,3]
[3,4,2,1,6,3]=>[1,5,4,3,2,4]
[3,4,2,3,1,6]=>[1,6,4,4,2,3]
[3,4,2,3,6,1]=>[2,1,5,4,3,5]
[3,4,2,6,1,3]=>[1,6,3,2,4,4]
[3,4,2,6,3,1]=>[2,1,4,3,5,5]
[3,4,3,1,2,6]=>[4,1,2,2,5,6]
[3,4,3,1,6,2]=>[2,6,1,1,4,3]
[3,4,3,2,1,6]=>[4,2,1,1,5,6]
[3,4,3,2,6,1]=>[4,3,1,6,5,1]
[3,4,3,6,1,2]=>[3,1,2,5,4,2]
[3,4,3,6,2,1]=>[3,2,1,5,4,1]
[3,4,6,1,2,3]=>[4,1,6,5,2,2]
[3,4,6,1,3,2]=>[2,6,4,3,1,1]
[3,4,6,2,1,3]=>[4,2,6,5,1,1]
[3,4,6,2,3,1]=>[4,3,6,5,1,1]
[3,4,6,3,1,2]=>[3,1,5,4,2,2]
[3,4,6,3,2,1]=>[3,2,5,4,1,1]
[3,6,1,2,3,4]=>[5,1,4,2,2,6]
[3,6,1,2,4,3]=>[5,1,3,2,6,2]
[3,6,1,3,2,4]=>[3,6,2,1,1,4]
[3,6,1,3,4,2]=>[3,6,1,2,2,4]
[3,6,1,4,2,3]=>[5,1,2,3,6,3]
[3,6,1,4,3,2]=>[2,5,6,1,3,1]
[3,6,2,1,3,4]=>[5,2,4,1,1,6]
[3,6,2,1,4,3]=>[5,2,3,1,6,1]
[3,6,2,3,1,4]=>[5,3,4,1,1,6]
[3,6,2,3,4,1]=>[5,4,3,1,6,1]
[3,6,2,4,1,3]=>[5,3,2,6,1,1]
[3,6,2,4,3,1]=>[5,4,2,6,1,1]
[3,6,3,1,2,4]=>[4,1,3,2,2,5]
[3,6,3,1,4,2]=>[4,1,2,3,3,5]
[3,6,3,2,1,4]=>[4,2,3,1,1,5]
[3,6,3,2,4,1]=>[4,3,2,1,5,1]
[3,6,3,4,1,2]=>[4,2,1,3,5,3]
[3,6,3,4,2,1]=>[4,3,1,2,5,2]
[3,6,4,1,2,3]=>[5,2,1,6,3,3]
[3,6,4,1,3,2]=>[2,6,5,3,1,1]
[3,6,4,2,1,3]=>[5,3,1,6,2,2]
[3,6,4,2,3,1]=>[5,4,1,6,2,2]
[3,6,4,3,1,2]=>[3,1,6,4,2,2]
[3,6,4,3,2,1]=>[3,2,6,4,1,1]
[4,1,2,3,3,6]=>[1,3,4,4,5,2]
[4,1,2,3,6,3]=>[1,3,4,2,5,4]
[4,1,2,6,3,3]=>[1,3,4,2,6,4]
[4,1,3,2,3,6]=>[1,3,5,5,4,2]
[4,1,3,2,6,3]=>[1,3,5,2,4,5]
[4,1,3,3,2,6]=>[3,5,1,1,6,4]
[4,1,3,3,6,2]=>[2,4,1,1,3,5]
[4,1,3,6,2,3]=>[3,5,1,4,6,1]
[4,1,3,6,3,2]=>[2,4,1,3,5,1]
[4,1,6,2,3,3]=>[4,6,1,5,2,1]
[4,1,6,3,2,3]=>[4,6,2,5,1,2]
[4,1,6,3,3,2]=>[2,4,1,3,6,1]
[4,2,1,3,3,6]=>[1,4,3,3,5,2]
[4,2,1,3,6,3]=>[1,4,3,2,5,3]
[4,2,1,6,3,3]=>[1,4,3,2,6,3]
[4,2,3,1,3,6]=>[1,5,3,3,4,2]
[4,2,3,1,6,3]=>[1,5,3,2,4,3]
[4,2,3,3,1,6]=>[1,6,3,3,4,2]
[4,2,3,3,6,1]=>[2,1,4,3,5,4]
[4,2,3,6,1,3]=>[1,6,2,4,3,3]
[4,2,3,6,3,1]=>[2,1,3,5,4,4]
[4,2,6,1,3,3]=>[1,5,2,6,3,3]
[4,2,6,3,1,3]=>[1,6,2,5,3,3]
[4,2,6,3,3,1]=>[2,1,3,6,4,4]
[4,3,1,2,3,6]=>[1,4,5,5,3,2]
[4,3,1,2,6,3]=>[1,4,5,2,3,5]
[4,3,1,3,2,6]=>[3,6,1,1,5,4]
[4,3,1,3,6,2]=>[2,5,1,1,3,4]
[4,3,1,6,2,3]=>[3,6,1,4,5,1]
[4,3,1,6,3,2]=>[2,5,1,3,4,1]
[4,3,2,1,3,6]=>[1,5,4,4,3,2]
[4,3,2,1,6,3]=>[1,5,4,2,3,4]
[4,3,2,3,1,6]=>[1,6,4,4,3,2]
[4,3,2,3,6,1]=>[2,1,5,3,4,5]
[4,3,2,6,1,3]=>[1,6,2,3,4,4]
[4,3,2,6,3,1]=>[2,1,3,4,5,5]
[4,3,3,1,2,6]=>[4,1,2,2,6,5]
[4,3,3,1,6,2]=>[2,6,1,1,3,4]
[4,3,3,2,1,6]=>[4,2,1,1,6,5]
[4,3,3,2,6,1]=>[4,3,1,5,6,1]
[4,3,3,6,1,2]=>[3,1,2,4,5,2]
[4,3,3,6,2,1]=>[3,2,1,4,5,1]
[4,3,6,1,2,3]=>[4,1,5,6,2,2]
[4,3,6,1,3,2]=>[2,6,3,4,1,1]
[4,3,6,2,1,3]=>[4,2,5,6,1,1]
[4,3,6,2,3,1]=>[4,3,5,6,1,1]
[4,3,6,3,1,2]=>[3,1,4,5,2,2]
[4,3,6,3,2,1]=>[3,2,4,5,1,1]
[4,6,1,2,3,3]=>[5,1,6,3,2,2]
[4,6,1,3,2,3]=>[5,1,6,2,3,3]
[4,6,1,3,3,2]=>[2,5,3,6,1,1]
[4,6,2,1,3,3]=>[5,2,6,3,1,1]
[4,6,2,3,1,3]=>[5,3,6,2,1,1]
[4,6,2,3,3,1]=>[5,4,6,2,1,1]
[4,6,3,1,2,3]=>[5,2,6,1,3,3]
[4,6,3,1,3,2]=>[2,6,3,5,1,1]
[4,6,3,2,1,3]=>[5,3,6,1,2,2]
[4,6,3,2,3,1]=>[5,4,6,1,2,2]
[4,6,3,3,1,2]=>[3,1,4,6,2,2]
[4,6,3,3,2,1]=>[3,2,4,6,1,1]
[6,1,2,3,3,4]=>[6,1,5,2,2,3]
[6,1,2,3,4,3]=>[6,1,4,2,3,2]
[6,1,2,4,3,3]=>[6,1,3,2,4,2]
[6,1,3,2,3,4]=>[6,1,5,3,3,2]
[6,1,3,2,4,3]=>[6,1,4,3,2,3]
[6,1,3,3,2,4]=>[3,5,2,1,1,6]
[6,1,3,3,4,2]=>[3,5,1,2,2,6]
[6,1,3,4,2,3]=>[6,1,3,4,2,4]
[6,1,3,4,3,2]=>[2,4,6,1,5,1]
[6,1,4,2,3,3]=>[6,1,2,3,4,3]
[6,1,4,3,2,3]=>[6,1,2,4,3,4]
[6,1,4,3,3,2]=>[2,4,5,1,6,1]
[6,2,1,3,3,4]=>[6,2,5,1,1,3]
[6,2,1,3,4,3]=>[6,2,4,1,3,1]
[6,2,1,4,3,3]=>[6,2,3,1,4,1]
[6,2,3,1,3,4]=>[6,3,5,1,1,2]
[6,2,3,1,4,3]=>[6,3,4,1,2,1]
[6,2,3,3,1,4]=>[6,4,5,1,1,2]
[6,2,3,3,4,1]=>[6,5,4,1,2,1]
[6,2,3,4,1,3]=>[6,4,3,2,1,1]
[6,2,3,4,3,1]=>[6,5,3,2,1,1]
[6,2,4,1,3,3]=>[6,3,2,4,1,1]
[6,2,4,3,1,3]=>[6,4,2,3,1,1]
[6,2,4,3,3,1]=>[6,5,2,3,1,1]
[6,3,1,2,3,4]=>[6,2,5,3,3,1]
[6,3,1,2,4,3]=>[6,2,4,3,1,3]
[6,3,1,3,2,4]=>[3,6,2,1,1,5]
[6,3,1,3,4,2]=>[3,6,1,2,2,5]
[6,3,1,4,2,3]=>[6,2,3,4,1,4]
[6,3,1,4,3,2]=>[2,5,6,1,4,1]
[6,3,2,1,3,4]=>[6,3,5,2,2,1]
[6,3,2,1,4,3]=>[6,3,4,2,1,2]
[6,3,2,3,1,4]=>[6,4,5,2,2,1]
[6,3,2,3,4,1]=>[6,5,4,2,1,2]
[6,3,2,4,1,3]=>[6,4,3,1,2,2]
[6,3,2,4,3,1]=>[6,5,3,1,2,2]
[6,3,3,1,2,4]=>[4,1,3,2,2,6]
[6,3,3,1,4,2]=>[4,1,2,3,3,6]
[6,3,3,2,1,4]=>[4,2,3,1,1,6]
[6,3,3,2,4,1]=>[4,3,2,1,6,1]
[6,3,3,4,1,2]=>[4,2,1,3,6,3]
[6,3,3,4,2,1]=>[4,3,1,2,6,2]
[6,3,4,1,2,3]=>[6,3,2,1,4,4]
[6,3,4,1,3,2]=>[2,6,5,4,1,1]
[6,3,4,2,1,3]=>[6,4,2,1,3,3]
[6,3,4,2,3,1]=>[6,5,2,1,3,3]
[6,3,4,3,1,2]=>[3,1,6,5,2,2]
[6,3,4,3,2,1]=>[3,2,6,5,1,1]
[6,4,1,2,3,3]=>[6,2,1,4,3,3]
[6,4,1,3,2,3]=>[6,2,1,3,4,4]
[6,4,1,3,3,2]=>[2,5,4,6,1,1]
[6,4,2,1,3,3]=>[6,3,1,4,2,2]
[6,4,2,3,1,3]=>[6,4,1,3,2,2]
[6,4,2,3,3,1]=>[6,5,1,3,2,2]
[6,4,3,1,2,3]=>[6,3,1,2,4,4]
[6,4,3,1,3,2]=>[2,6,4,5,1,1]
[6,4,3,2,1,3]=>[6,4,1,2,3,3]
[6,4,3,2,3,1]=>[6,5,1,2,3,3]
[6,4,3,3,1,2]=>[3,1,5,6,2,2]
[6,4,3,3,2,1]=>[3,2,5,6,1,1]
[1,2,3,3,5,5]=>[1,2,3,3,5,5]
[1,2,3,5,3,5]=>[3,4,5,5,1,1]
[1,2,3,5,5,3]=>[2,3,4,4,1,1]
[1,2,5,3,3,5]=>[3,4,5,1,5,1]
[1,2,5,3,5,3]=>[2,3,4,1,4,1]
[1,2,5,5,3,3]=>[2,3,4,1,1,4]
[1,3,2,3,5,5]=>[5,6,1,1,2,2]
[1,3,2,5,3,5]=>[5,6,1,1,3,3]
[1,3,2,5,5,3]=>[2,3,5,5,1,1]
[1,3,3,2,5,5]=>[5,6,2,2,1,1]
[1,3,3,5,2,5]=>[5,6,3,3,1,1]
[1,3,3,5,5,2]=>[2,3,1,1,5,5]
[1,3,5,2,3,5]=>[4,5,1,1,2,2]
[1,3,5,2,5,3]=>[4,5,1,1,3,3]
[1,3,5,3,2,5]=>[4,5,2,2,1,1]
[1,3,5,3,5,2]=>[4,5,3,3,1,1]
[1,3,5,5,2,3]=>[3,4,1,1,2,2]
[1,3,5,5,3,2]=>[3,4,2,2,1,1]
[1,5,2,3,3,5]=>[5,6,1,3,1,3]
[1,5,2,3,5,3]=>[2,3,5,1,5,1]
[1,5,2,5,3,3]=>[2,3,5,1,1,5]
[1,5,3,2,3,5]=>[4,5,1,2,1,2]
[1,5,3,2,5,3]=>[4,5,1,3,1,3]
[1,5,3,3,2,5]=>[4,5,2,1,2,1]
[1,5,3,3,5,2]=>[4,5,3,1,3,1]
[1,5,3,5,2,3]=>[3,4,1,2,1,2]
[1,5,3,5,3,2]=>[3,4,2,1,2,1]
[1,5,5,2,3,3]=>[4,5,1,3,3,1]
[1,5,5,3,2,3]=>[3,4,1,2,2,1]
[1,5,5,3,3,2]=>[3,4,2,1,1,2]
[2,1,3,3,5,5]=>[1,3,2,2,5,5]
[2,1,3,5,3,5]=>[3,5,4,4,1,1]
[2,1,3,5,5,3]=>[2,4,3,3,1,1]
[2,1,5,3,3,5]=>[3,5,4,1,4,1]
[2,1,5,3,5,3]=>[2,4,3,1,3,1]
[2,1,5,5,3,3]=>[2,4,3,1,1,3]
[2,3,1,3,5,5]=>[1,4,2,2,5,5]
[2,3,1,5,3,5]=>[3,6,4,4,1,1]
[2,3,1,5,5,3]=>[2,5,3,3,1,1]
[2,3,3,1,5,5]=>[1,5,2,2,4,4]
[2,3,3,5,1,5]=>[1,6,2,4,2,4]
[2,3,3,5,5,1]=>[2,1,3,5,5,3]
[2,3,5,1,3,5]=>[4,1,5,2,5,2]
[2,3,5,1,5,3]=>[2,6,3,1,3,1]
[2,3,5,3,1,5]=>[4,2,5,1,5,1]
[2,3,5,3,5,1]=>[4,3,5,1,1,5]
[2,3,5,5,1,3]=>[3,1,4,2,2,4]
[2,3,5,5,3,1]=>[3,2,4,1,1,4]
[2,5,1,3,3,5]=>[3,6,1,4,4,1]
[2,5,1,3,5,3]=>[2,5,1,3,3,1]
[2,5,1,5,3,3]=>[2,5,1,3,1,3]
[2,5,3,1,3,5]=>[4,1,2,5,5,2]
[2,5,3,1,5,3]=>[2,6,1,3,3,1]
[2,5,3,3,1,5]=>[4,2,1,5,5,1]
[2,5,3,3,5,1]=>[4,3,1,5,1,5]
[2,5,3,5,1,3]=>[3,1,2,4,2,4]
[2,5,3,5,3,1]=>[3,2,1,4,1,4]
[2,5,5,1,3,3]=>[2,6,1,1,3,3]
[2,5,5,3,1,3]=>[3,1,2,2,4,4]
[2,5,5,3,3,1]=>[3,2,1,1,4,4]
[3,1,2,3,5,5]=>[6,1,2,2,3,3]
[3,1,2,5,3,5]=>[6,1,2,2,4,4]
[3,1,2,5,5,3]=>[2,4,5,5,1,1]
[3,1,3,2,5,5]=>[6,1,3,3,2,2]
[3,1,3,5,2,5]=>[6,1,4,4,2,2]
[3,1,3,5,5,2]=>[2,4,1,1,5,5]
[3,1,5,2,3,5]=>[4,6,1,1,2,2]
[3,1,5,2,5,3]=>[4,6,1,1,3,3]
[3,1,5,3,2,5]=>[4,6,2,2,1,1]
[3,1,5,3,5,2]=>[4,6,3,3,1,1]
[3,1,5,5,2,3]=>[3,5,1,1,2,2]
[3,1,5,5,3,2]=>[3,5,2,2,1,1]
[3,2,1,3,5,5]=>[6,2,1,1,3,3]
[3,2,1,5,3,5]=>[6,2,1,1,4,4]
[3,2,1,5,5,3]=>[2,5,4,4,1,1]
[3,2,3,1,5,5]=>[6,3,1,1,2,2]
[3,2,3,5,1,5]=>[6,4,1,2,1,2]
[3,2,3,5,5,1]=>[6,5,1,2,2,1]
[3,2,5,1,3,5]=>[6,3,1,4,1,4]
[3,2,5,1,5,3]=>[2,6,4,1,4,1]
[3,2,5,3,1,5]=>[6,4,1,3,1,3]
[3,2,5,3,5,1]=>[6,5,1,3,3,1]
[3,2,5,5,1,3]=>[3,1,5,2,2,5]
[3,2,5,5,3,1]=>[3,2,5,1,1,5]
[3,3,1,2,5,5]=>[6,2,3,3,1,1]
[3,3,1,5,2,5]=>[6,2,4,4,1,1]
[3,3,1,5,5,2]=>[2,5,1,1,4,4]
[3,3,2,1,5,5]=>[6,3,2,2,1,1]
[3,3,2,5,1,5]=>[6,4,2,1,2,1]
[3,3,2,5,5,1]=>[6,5,2,1,1,2]
[3,3,5,1,2,5]=>[6,3,4,1,4,1]
[3,3,5,1,5,2]=>[2,6,1,4,1,4]
[3,3,5,2,1,5]=>[6,4,3,1,3,1]
[3,3,5,2,5,1]=>[6,5,3,1,1,3]
[3,3,5,5,1,2]=>[3,1,2,5,5,2]
[3,3,5,5,2,1]=>[3,2,1,5,5,1]
[3,5,1,2,3,5]=>[5,1,2,3,2,3]
[3,5,1,2,5,3]=>[5,1,2,4,2,4]
[3,5,1,3,2,5]=>[5,1,3,2,3,2]
[3,5,1,3,5,2]=>[5,1,4,2,4,2]
[3,5,1,5,2,3]=>[3,6,1,2,1,2]
[3,5,1,5,3,2]=>[3,6,2,1,2,1]
[3,5,2,1,3,5]=>[5,2,1,3,1,3]
[3,5,2,1,5,3]=>[5,2,1,4,1,4]
[3,5,2,3,1,5]=>[5,3,1,2,1,2]
[3,5,2,3,5,1]=>[5,4,1,2,2,1]
[3,5,2,5,1,3]=>[5,3,1,4,4,1]
[3,5,2,5,3,1]=>[5,4,1,3,3,1]
[3,5,3,1,2,5]=>[5,2,3,1,3,1]
[3,5,3,1,5,2]=>[5,2,4,1,4,1]
[3,5,3,2,1,5]=>[5,3,2,1,2,1]
[3,5,3,2,5,1]=>[5,4,2,1,1,2]
[3,5,3,5,1,2]=>[5,3,4,1,1,4]
[3,5,3,5,2,1]=>[5,4,3,1,1,3]
[3,5,5,1,2,3]=>[4,1,2,3,3,2]
[3,5,5,1,3,2]=>[4,1,3,2,2,3]
[3,5,5,2,1,3]=>[4,2,1,3,3,1]
[3,5,5,2,3,1]=>[4,3,1,2,2,1]
[3,5,5,3,1,2]=>[4,2,3,1,1,3]
[3,5,5,3,2,1]=>[4,3,2,1,1,2]
[5,1,2,3,3,5]=>[6,1,4,2,2,4]
[5,1,2,3,5,3]=>[2,4,1,5,5,1]
[5,1,2,5,3,3]=>[2,4,1,5,1,5]
[5,1,3,2,3,5]=>[4,6,2,1,1,2]
[5,1,3,2,5,3]=>[4,6,3,1,1,3]
[5,1,3,3,2,5]=>[4,6,1,2,2,1]
[5,1,3,3,5,2]=>[4,6,1,3,3,1]
[5,1,3,5,2,3]=>[3,5,2,1,1,2]
[5,1,3,5,3,2]=>[3,5,1,2,2,1]
[5,1,5,2,3,3]=>[4,6,3,1,3,1]
[5,1,5,3,2,3]=>[3,5,2,1,2,1]
[5,1,5,3,3,2]=>[3,5,1,2,1,2]
[5,2,1,3,3,5]=>[6,2,4,1,1,4]
[5,2,1,3,5,3]=>[2,5,1,4,4,1]
[5,2,1,5,3,3]=>[2,5,1,4,1,4]
[5,2,3,1,3,5]=>[6,3,4,1,1,4]
[5,2,3,1,5,3]=>[2,6,1,4,4,1]
[5,2,3,3,1,5]=>[6,4,3,1,1,3]
[5,2,3,3,5,1]=>[6,5,3,1,3,1]
[5,2,3,5,1,3]=>[3,1,2,5,2,5]
[5,2,3,5,3,1]=>[3,2,1,5,1,5]
[5,2,5,1,3,3]=>[2,6,1,1,4,4]
[5,2,5,3,1,3]=>[3,1,2,2,5,5]
[5,2,5,3,3,1]=>[3,2,1,1,5,5]
[5,3,1,2,3,5]=>[5,1,3,2,2,3]
[5,3,1,2,5,3]=>[5,1,4,2,2,4]
[5,3,1,3,2,5]=>[5,1,2,3,3,2]
[5,3,1,3,5,2]=>[5,1,2,4,4,2]
[5,3,1,5,2,3]=>[3,6,2,1,1,2]
[5,3,1,5,3,2]=>[3,6,1,2,2,1]
[5,3,2,1,3,5]=>[5,2,3,1,1,3]
[5,3,2,1,5,3]=>[5,2,4,1,1,4]
[5,3,2,3,1,5]=>[5,3,2,1,1,2]
[5,3,2,3,5,1]=>[5,4,2,1,2,1]
[5,3,2,5,1,3]=>[5,3,4,1,4,1]
[5,3,2,5,3,1]=>[5,4,3,1,3,1]
[5,3,3,1,2,5]=>[5,2,1,3,3,1]
[5,3,3,1,5,2]=>[5,2,1,4,4,1]
[5,3,3,2,1,5]=>[5,3,1,2,2,1]
[5,3,3,2,5,1]=>[5,4,1,2,1,2]
[5,3,3,5,1,2]=>[5,3,1,4,1,4]
[5,3,3,5,2,1]=>[5,4,1,3,1,3]
[5,3,5,1,2,3]=>[4,1,3,2,3,2]
[5,3,5,1,3,2]=>[4,1,2,3,2,3]
[5,3,5,2,1,3]=>[4,2,3,1,3,1]
[5,3,5,2,3,1]=>[4,3,2,1,2,1]
[5,3,5,3,1,2]=>[4,2,1,3,1,3]
[5,3,5,3,2,1]=>[4,3,1,2,1,2]
[5,5,1,2,3,3]=>[5,1,4,4,2,2]
[5,5,1,3,2,3]=>[3,6,2,2,1,1]
[5,5,1,3,3,2]=>[3,6,1,1,2,2]
[5,5,2,1,3,3]=>[5,2,4,4,1,1]
[5,5,2,3,1,3]=>[5,3,4,4,1,1]
[5,5,2,3,3,1]=>[5,4,3,3,1,1]
[5,5,3,1,2,3]=>[4,1,3,3,2,2]
[5,5,3,1,3,2]=>[4,1,2,2,3,3]
[5,5,3,2,1,3]=>[4,2,3,3,1,1]
[5,5,3,2,3,1]=>[4,3,2,2,1,1]
[5,5,3,3,1,2]=>[4,2,1,1,3,3]
[5,5,3,3,2,1]=>[4,3,1,1,2,2]
[1,2,3,3,5,6]=>[1,2,3,3,5,6]
[1,2,3,3,6,5]=>[2,3,4,4,6,1]
[1,2,3,5,3,6]=>[1,2,3,3,6,5]
[1,2,3,5,6,3]=>[2,3,4,4,1,6]
[1,2,3,6,3,5]=>[3,4,5,5,1,2]
[1,2,3,6,5,3]=>[3,4,5,5,2,1]
[1,2,5,3,3,6]=>[1,2,3,3,6,4]
[1,2,5,3,6,3]=>[2,3,4,4,1,5]
[1,2,5,6,3,3]=>[2,3,4,5,1,4]
[1,2,6,3,3,5]=>[3,4,5,2,5,1]
[1,2,6,3,5,3]=>[3,4,5,1,5,2]
[1,2,6,5,3,3]=>[2,3,4,6,1,4]
[1,3,2,3,5,6]=>[5,6,1,1,2,3]
[1,3,2,3,6,5]=>[5,6,1,1,2,4]
[1,3,2,5,3,6]=>[5,6,1,1,3,2]
[1,3,2,5,6,3]=>[5,6,1,1,4,2]
[1,3,2,6,3,5]=>[5,6,1,1,3,4]
[1,3,2,6,5,3]=>[5,6,1,1,4,3]
[1,3,3,2,5,6]=>[5,6,2,2,1,3]
[1,3,3,2,6,5]=>[5,6,2,2,1,4]
[1,3,3,5,2,6]=>[5,6,3,3,1,2]
[1,3,3,5,6,2]=>[2,3,1,1,6,5]
[1,3,3,6,2,5]=>[3,4,1,1,2,6]
[1,3,3,6,5,2]=>[3,4,2,2,1,6]
[1,3,5,2,3,6]=>[5,6,2,2,3,1]
[1,3,5,2,6,3]=>[5,6,2,2,4,1]
[1,3,5,3,2,6]=>[5,6,3,3,2,1]
[1,3,5,3,6,2]=>[2,3,1,1,5,6]
[1,3,5,6,2,3]=>[3,4,1,1,6,2]
[1,3,5,6,3,2]=>[3,4,2,2,6,1]
[1,3,6,2,3,5]=>[4,5,1,1,3,2]
[1,3,6,2,5,3]=>[4,5,1,1,2,3]
[1,3,6,3,2,5]=>[4,5,2,2,3,1]
[1,3,6,3,5,2]=>[4,5,3,3,2,1]
[1,3,6,5,2,3]=>[4,5,2,2,1,3]
[1,3,6,5,3,2]=>[4,5,3,3,1,2]
[1,5,2,3,3,6]=>[1,2,4,4,6,3]
[1,5,2,3,6,3]=>[2,3,5,5,1,4]
[1,5,2,6,3,3]=>[2,3,5,4,1,5]
[1,5,3,2,3,6]=>[4,5,1,1,2,6]
[1,5,3,2,6,3]=>[4,5,1,1,3,6]
[1,5,3,3,2,6]=>[4,5,2,2,1,6]
[1,5,3,3,6,2]=>[2,3,1,1,4,6]
[1,5,3,6,2,3]=>[3,4,1,1,5,2]
[1,5,3,6,3,2]=>[3,4,2,2,5,1]
[1,5,6,2,3,3]=>[4,5,1,6,3,1]
[1,5,6,3,2,3]=>[3,4,1,5,2,1]
[1,5,6,3,3,2]=>[3,4,2,5,1,2]
[1,6,2,3,3,5]=>[5,6,1,4,1,3]
[1,6,2,3,5,3]=>[5,6,1,3,1,4]
[1,6,2,5,3,3]=>[5,6,1,2,4,1]
[1,6,3,2,3,5]=>[4,5,1,3,1,2]
[1,6,3,2,5,3]=>[4,5,1,2,1,3]
[1,6,3,3,2,5]=>[4,5,2,3,2,1]
[1,6,3,3,5,2]=>[4,5,3,2,3,1]
[1,6,3,5,2,3]=>[4,5,2,1,2,3]
[1,6,3,5,3,2]=>[4,5,3,1,3,2]
[1,6,5,2,3,3]=>[5,6,2,1,4,2]
[1,6,5,3,2,3]=>[3,4,1,6,2,1]
[1,6,5,3,3,2]=>[3,4,2,6,1,2]
[2,1,3,3,5,6]=>[1,3,2,2,5,6]
[2,1,3,3,6,5]=>[2,4,3,3,6,1]
[2,1,3,5,3,6]=>[1,3,2,2,6,5]
[2,1,3,5,6,3]=>[2,4,3,3,1,6]
[2,1,3,6,3,5]=>[3,5,4,4,1,2]
[2,1,3,6,5,3]=>[3,5,4,4,2,1]
[2,1,5,3,3,6]=>[1,3,2,2,6,4]
[2,1,5,3,6,3]=>[2,4,3,3,1,5]
[2,1,5,6,3,3]=>[2,4,3,5,1,3]
[2,1,6,3,3,5]=>[3,5,4,2,4,1]
[2,1,6,3,5,3]=>[3,5,4,1,4,2]
[2,1,6,5,3,3]=>[2,4,3,6,1,3]
[2,3,1,3,5,6]=>[1,4,2,2,5,6]
[2,3,1,3,6,5]=>[2,5,3,3,6,1]
[2,3,1,5,3,6]=>[1,4,2,2,6,5]
[2,3,1,5,6,3]=>[2,5,3,3,1,6]
[2,3,1,6,3,5]=>[3,6,4,4,1,2]
[2,3,1,6,5,3]=>[3,6,4,4,2,1]
[2,3,3,1,5,6]=>[1,5,2,2,4,6]
[2,3,3,1,6,5]=>[2,6,3,3,5,1]
[2,3,3,5,1,6]=>[1,6,2,2,4,5]
[2,3,3,5,6,1]=>[2,1,3,6,5,3]
[2,3,3,6,1,5]=>[3,1,4,2,4,6]
[2,3,3,6,5,1]=>[3,2,4,1,6,4]
[2,3,5,1,3,6]=>[1,5,2,2,6,4]
[2,3,5,1,6,3]=>[2,6,3,3,1,5]
[2,3,5,3,1,6]=>[1,6,2,2,5,4]
[2,3,5,3,6,1]=>[2,1,3,5,6,3]
[2,3,5,6,1,3]=>[3,1,4,6,2,4]
[2,3,5,6,3,1]=>[3,2,4,6,1,4]
[2,3,6,1,3,5]=>[4,1,5,3,5,2]
[2,3,6,1,5,3]=>[4,1,5,2,5,3]
[2,3,6,3,1,5]=>[4,2,5,3,5,1]
[2,3,6,3,5,1]=>[4,3,5,2,1,5]
[2,3,6,5,1,3]=>[4,2,5,1,3,5]
[2,3,6,5,3,1]=>[4,3,5,1,2,5]
[2,5,1,3,3,6]=>[1,4,2,2,6,3]
[2,5,1,3,6,3]=>[2,5,3,3,1,4]
[2,5,1,6,3,3]=>[2,5,3,4,1,3]
[2,5,3,1,3,6]=>[1,5,2,2,6,3]
[2,5,3,1,6,3]=>[2,6,3,3,1,4]
[2,5,3,3,1,6]=>[1,6,2,2,5,3]
[2,5,3,3,6,1]=>[2,1,3,4,6,3]
[2,5,3,6,1,3]=>[3,1,4,5,2,4]
[2,5,3,6,3,1]=>[3,2,4,5,1,4]
[2,5,6,1,3,3]=>[2,6,4,1,3,3]
[2,5,6,3,1,3]=>[3,1,5,2,4,4]
[2,5,6,3,3,1]=>[3,2,5,1,4,4]
[2,6,1,3,3,5]=>[3,6,2,4,4,1]
[2,6,1,3,5,3]=>[3,6,1,4,4,2]
[2,6,1,5,3,3]=>[2,5,6,3,1,3]
[2,6,3,1,3,5]=>[4,1,3,5,5,2]
[2,6,3,1,5,3]=>[4,1,2,5,5,3]
[2,6,3,3,1,5]=>[4,2,3,5,5,1]
[2,6,3,3,5,1]=>[4,3,2,5,1,5]
[2,6,3,5,1,3]=>[4,2,1,5,3,5]
[2,6,3,5,3,1]=>[4,3,1,5,2,5]
[2,6,5,1,3,3]=>[2,6,5,1,3,3]
[2,6,5,3,1,3]=>[3,1,6,2,4,4]
[2,6,5,3,3,1]=>[3,2,6,1,4,4]
[3,1,2,3,5,6]=>[6,1,2,2,3,4]
[3,1,2,3,6,5]=>[6,1,2,2,3,5]
[3,1,2,5,3,6]=>[6,1,2,2,4,3]
[3,1,2,5,6,3]=>[6,1,2,2,5,3]
[3,1,2,6,3,5]=>[6,1,2,2,4,5]
[3,1,2,6,5,3]=>[6,1,2,2,5,4]
[3,1,3,2,5,6]=>[6,1,3,3,2,4]
[3,1,3,2,6,5]=>[6,1,3,3,2,5]
[3,1,3,5,2,6]=>[6,1,4,4,2,3]
[3,1,3,5,6,2]=>[2,4,1,1,6,5]
[3,1,3,6,2,5]=>[3,5,1,1,2,6]
[3,1,3,6,5,2]=>[3,5,2,2,1,6]
[3,1,5,2,3,6]=>[6,1,3,3,4,2]
[3,1,5,2,6,3]=>[6,1,3,3,5,2]
[3,1,5,3,2,6]=>[6,1,4,4,3,2]
[3,1,5,3,6,2]=>[2,4,1,1,5,6]
[3,1,5,6,2,3]=>[3,5,1,1,6,2]
[3,1,5,6,3,2]=>[3,5,2,2,6,1]
[3,1,6,2,3,5]=>[4,6,1,1,3,2]
[3,1,6,2,5,3]=>[4,6,1,1,2,3]
[3,1,6,3,2,5]=>[4,6,2,2,3,1]
[3,1,6,3,5,2]=>[4,6,3,3,2,1]
[3,1,6,5,2,3]=>[4,6,2,2,1,3]
[3,1,6,5,3,2]=>[4,6,3,3,1,2]
[3,2,1,3,5,6]=>[6,2,1,1,3,4]
[3,2,1,3,6,5]=>[6,2,1,1,3,5]
[3,2,1,5,3,6]=>[6,2,1,1,4,3]
[3,2,1,5,6,3]=>[6,2,1,1,5,3]
[3,2,1,6,3,5]=>[6,2,1,1,4,5]
[3,2,1,6,5,3]=>[6,2,1,1,5,4]
[3,2,3,1,5,6]=>[6,3,1,1,2,4]
[3,2,3,1,6,5]=>[6,3,1,1,2,5]
[3,2,3,5,1,6]=>[6,4,1,1,2,3]
[3,2,3,5,6,1]=>[6,5,1,3,2,1]
[3,2,3,6,1,5]=>[6,4,1,5,1,2]
[3,2,3,6,5,1]=>[6,5,1,4,2,1]
[3,2,5,1,3,6]=>[6,3,1,1,4,2]
[3,2,5,1,6,3]=>[6,3,1,1,5,2]
[3,2,5,3,1,6]=>[6,4,1,1,3,2]
[3,2,5,3,6,1]=>[6,5,1,2,3,1]
[3,2,5,6,1,3]=>[6,4,1,2,5,1]
[3,2,5,6,3,1]=>[6,5,1,2,4,1]
[3,2,6,1,3,5]=>[6,3,1,5,1,4]
[3,2,6,1,5,3]=>[6,3,1,4,1,5]
[3,2,6,3,1,5]=>[6,4,1,5,1,3]
[3,2,6,3,5,1]=>[6,5,1,4,3,1]
[3,2,6,5,1,3]=>[6,4,1,3,5,1]
[3,2,6,5,3,1]=>[6,5,1,3,4,1]
[3,3,1,2,5,6]=>[6,2,3,3,1,4]
[3,3,1,2,6,5]=>[6,2,3,3,1,5]
[3,3,1,5,2,6]=>[6,2,4,4,1,3]
[3,3,1,5,6,2]=>[2,5,1,1,6,4]
[3,3,1,6,2,5]=>[3,6,1,1,2,5]
[3,3,1,6,5,2]=>[3,6,2,2,1,5]
[3,3,2,1,5,6]=>[6,3,2,2,1,4]
[3,3,2,1,6,5]=>[6,3,2,2,1,5]
[3,3,2,5,1,6]=>[6,4,2,2,1,3]
[3,3,2,5,6,1]=>[6,5,2,3,1,2]
[3,3,2,6,1,5]=>[6,4,2,5,2,1]
[3,3,2,6,5,1]=>[6,5,2,4,1,2]
[3,3,5,1,2,6]=>[6,3,4,4,1,2]
[3,3,5,1,6,2]=>[2,6,1,1,5,4]
[3,3,5,2,1,6]=>[6,4,3,3,1,2]
[3,3,5,2,6,1]=>[6,5,3,2,1,3]
[3,3,5,6,1,2]=>[3,1,2,6,5,2]
[3,3,5,6,2,1]=>[3,2,1,6,5,1]
[3,3,6,1,2,5]=>[4,1,2,3,2,6]
[3,3,6,1,5,2]=>[4,1,3,2,3,6]
[3,3,6,2,1,5]=>[4,2,1,3,1,6]
[3,3,6,2,5,1]=>[4,3,1,2,6,1]
[3,3,6,5,1,2]=>[4,2,3,1,6,3]
[3,3,6,5,2,1]=>[4,3,2,1,6,2]
[3,5,1,2,3,6]=>[6,2,3,3,4,1]
[3,5,1,2,6,3]=>[6,2,3,3,5,1]
[3,5,1,3,2,6]=>[6,2,4,4,3,1]
[3,5,1,3,6,2]=>[2,5,1,1,4,6]
[3,5,1,6,2,3]=>[3,6,1,1,5,2]
[3,5,1,6,3,2]=>[3,6,2,2,5,1]
[3,5,2,1,3,6]=>[6,3,2,2,4,1]
[3,5,2,1,6,3]=>[6,3,2,2,5,1]
[3,5,2,3,1,6]=>[6,4,2,2,3,1]
[3,5,2,3,6,1]=>[6,5,2,1,3,2]
[3,5,2,6,1,3]=>[6,4,2,1,5,2]
[3,5,2,6,3,1]=>[6,5,2,1,4,2]
[3,5,3,1,2,6]=>[6,3,4,4,2,1]
[3,5,3,1,6,2]=>[2,6,1,1,4,5]
[3,5,3,2,1,6]=>[6,4,3,3,2,1]
[3,5,3,2,6,1]=>[6,5,3,1,2,3]
[3,5,3,6,1,2]=>[3,1,2,5,6,2]
[3,5,3,6,2,1]=>[3,2,1,5,6,1]
[3,5,6,1,2,3]=>[4,1,2,6,3,2]
[3,5,6,1,3,2]=>[4,1,3,6,2,3]
[3,5,6,2,1,3]=>[4,2,1,6,3,1]
[3,5,6,2,3,1]=>[4,3,1,6,2,1]
[3,5,6,3,1,2]=>[4,2,3,6,1,3]
[3,5,6,3,2,1]=>[4,3,2,6,1,2]
[3,6,1,2,3,5]=>[5,1,2,4,2,3]
[3,6,1,2,5,3]=>[5,1,2,3,2,4]
[3,6,1,3,2,5]=>[5,1,3,4,3,2]
[3,6,1,3,5,2]=>[5,1,4,3,4,2]
[3,6,1,5,2,3]=>[5,1,3,2,3,4]
[3,6,1,5,3,2]=>[5,1,4,2,4,3]
[3,6,2,1,3,5]=>[5,2,1,4,1,3]
[3,6,2,1,5,3]=>[5,2,1,3,1,4]
[3,6,2,3,1,5]=>[5,3,1,4,1,2]
[3,6,2,3,5,1]=>[5,4,1,3,2,1]
[3,6,2,5,1,3]=>[5,3,1,2,4,1]
[3,6,2,5,3,1]=>[5,4,1,2,3,1]
[3,6,3,1,2,5]=>[5,2,3,4,3,1]
[3,6,3,1,5,2]=>[5,2,4,3,4,1]
[3,6,3,2,1,5]=>[5,3,2,4,2,1]
[3,6,3,2,5,1]=>[5,4,2,3,1,2]
[3,6,3,5,1,2]=>[5,3,4,2,1,4]
[3,6,3,5,2,1]=>[5,4,3,2,1,3]
[3,6,5,1,2,3]=>[5,2,3,1,4,3]
[3,6,5,1,3,2]=>[5,2,4,1,3,4]
[3,6,5,2,1,3]=>[5,3,2,1,4,2]
[3,6,5,2,3,1]=>[5,4,2,1,3,2]
[3,6,5,3,1,2]=>[5,3,4,1,2,4]
[3,6,5,3,2,1]=>[5,4,3,1,2,3]
[5,1,2,3,3,6]=>[1,3,4,4,6,2]
[5,1,2,3,6,3]=>[2,4,5,5,1,3]
[5,1,2,6,3,3]=>[2,4,5,3,1,5]
[5,1,3,2,3,6]=>[4,6,1,1,2,5]
[5,1,3,2,6,3]=>[4,6,1,1,3,5]
[5,1,3,3,2,6]=>[4,6,2,2,1,5]
[5,1,3,3,6,2]=>[2,4,1,1,3,6]
[5,1,3,6,2,3]=>[3,5,1,1,4,2]
[5,1,3,6,3,2]=>[3,5,2,2,4,1]
[5,1,6,2,3,3]=>[4,6,1,5,3,1]
[5,1,6,3,2,3]=>[3,5,1,4,2,1]
[5,1,6,3,3,2]=>[3,5,2,4,1,2]
[5,2,1,3,3,6]=>[1,4,3,3,6,2]
[5,2,1,3,6,3]=>[2,5,4,4,1,3]
[5,2,1,6,3,3]=>[2,5,4,3,1,4]
[5,2,3,1,3,6]=>[1,5,3,3,6,2]
[5,2,3,1,6,3]=>[2,6,4,4,1,3]
[5,2,3,3,1,6]=>[1,6,3,3,5,2]
[5,2,3,3,6,1]=>[2,1,4,3,6,4]
[5,2,3,6,1,3]=>[3,1,5,4,2,5]
[5,2,3,6,3,1]=>[3,2,5,4,1,5]
[5,2,6,1,3,3]=>[2,6,3,1,4,4]
[5,2,6,3,1,3]=>[3,1,4,2,5,5]
[5,2,6,3,3,1]=>[3,2,4,1,5,5]
[5,3,1,2,3,6]=>[5,1,2,2,3,6]
[5,3,1,2,6,3]=>[5,1,2,2,4,6]
[5,3,1,3,2,6]=>[5,1,3,3,2,6]
[5,3,1,3,6,2]=>[2,5,1,1,3,6]
[5,3,1,6,2,3]=>[3,6,1,1,4,2]
[5,3,1,6,3,2]=>[3,6,2,2,4,1]
[5,3,2,1,3,6]=>[5,2,1,1,3,6]
[5,3,2,1,6,3]=>[5,2,1,1,4,6]
[5,3,2,3,1,6]=>[5,3,1,1,2,6]
[5,3,2,3,6,1]=>[5,4,1,6,2,1]
[5,3,2,6,1,3]=>[5,3,1,6,4,1]
[5,3,2,6,3,1]=>[5,4,1,6,3,1]
[5,3,3,1,2,6]=>[5,2,3,3,1,6]
[5,3,3,1,6,2]=>[2,6,1,1,3,5]
[5,3,3,2,1,6]=>[5,3,2,2,1,6]
[5,3,3,2,6,1]=>[5,4,2,6,1,2]
[5,3,3,6,1,2]=>[3,1,2,4,6,2]
[5,3,3,6,2,1]=>[3,2,1,4,6,1]
[5,3,6,1,2,3]=>[4,1,2,5,3,2]
[5,3,6,1,3,2]=>[4,1,3,5,2,3]
[5,3,6,2,1,3]=>[4,2,1,5,3,1]
[5,3,6,2,3,1]=>[4,3,1,5,2,1]
[5,3,6,3,1,2]=>[4,2,3,5,1,3]
[5,3,6,3,2,1]=>[4,3,2,5,1,2]
[5,6,1,2,3,3]=>[5,1,6,4,2,2]
[5,6,1,3,2,3]=>[3,6,4,2,1,1]
[5,6,1,3,3,2]=>[3,6,4,1,2,2]
[5,6,2,1,3,3]=>[5,2,6,4,1,1]
[5,6,2,3,1,3]=>[5,3,6,4,1,1]
[5,6,2,3,3,1]=>[5,4,6,3,1,1]
[5,6,3,1,2,3]=>[4,1,5,3,2,2]
[5,6,3,1,3,2]=>[4,1,5,2,3,3]
[5,6,3,2,1,3]=>[4,2,5,3,1,1]
[5,6,3,2,3,1]=>[4,3,5,2,1,1]
[5,6,3,3,1,2]=>[4,2,5,1,3,3]
[5,6,3,3,2,1]=>[4,3,5,1,2,2]
[6,1,2,3,3,5]=>[6,1,5,2,2,4]
[6,1,2,3,5,3]=>[6,1,4,2,2,5]
[6,1,2,5,3,3]=>[6,1,3,2,5,2]
[6,1,3,2,3,5]=>[4,6,3,1,1,2]
[6,1,3,2,5,3]=>[4,6,2,1,1,3]
[6,1,3,3,2,5]=>[4,6,3,2,2,1]
[6,1,3,3,5,2]=>[4,6,2,3,3,1]
[6,1,3,5,2,3]=>[4,6,1,2,2,3]
[6,1,3,5,3,2]=>[4,6,1,3,3,2]
[6,1,5,2,3,3]=>[6,1,2,3,5,3]
[6,1,5,3,2,3]=>[3,5,6,1,2,1]
[6,1,5,3,3,2]=>[3,5,6,2,1,2]
[6,2,1,3,3,5]=>[6,2,5,1,1,4]
[6,2,1,3,5,3]=>[6,2,4,1,1,5]
[6,2,1,5,3,3]=>[6,2,3,1,5,1]
[6,2,3,1,3,5]=>[6,3,5,1,1,4]
[6,2,3,1,5,3]=>[6,3,4,1,1,5]
[6,2,3,3,1,5]=>[6,4,5,1,1,3]
[6,2,3,3,5,1]=>[6,5,4,1,3,1]
[6,2,3,5,1,3]=>[6,4,3,1,5,1]
[6,2,3,5,3,1]=>[6,5,3,1,4,1]
[6,2,5,1,3,3]=>[6,3,2,5,1,1]
[6,2,5,3,1,3]=>[6,4,2,5,1,1]
[6,2,5,3,3,1]=>[6,5,2,4,1,1]
[6,3,1,2,3,5]=>[5,1,4,2,2,3]
[6,3,1,2,5,3]=>[5,1,3,2,2,4]
[6,3,1,3,2,5]=>[5,1,4,3,3,2]
[6,3,1,3,5,2]=>[5,1,3,4,4,2]
[6,3,1,5,2,3]=>[5,1,2,3,3,4]
[6,3,1,5,3,2]=>[5,1,2,4,4,3]
[6,3,2,1,3,5]=>[5,2,4,1,1,3]
[6,3,2,1,5,3]=>[5,2,3,1,1,4]
[6,3,2,3,1,5]=>[5,3,4,1,1,2]
[6,3,2,3,5,1]=>[5,4,3,1,2,1]
[6,3,2,5,1,3]=>[5,3,2,1,4,1]
[6,3,2,5,3,1]=>[5,4,2,1,3,1]
[6,3,3,1,2,5]=>[5,2,4,3,3,1]
[6,3,3,1,5,2]=>[5,2,3,4,4,1]
[6,3,3,2,1,5]=>[5,3,4,2,2,1]
[6,3,3,2,5,1]=>[5,4,3,2,1,2]
[6,3,3,5,1,2]=>[5,3,2,4,1,4]
[6,3,3,5,2,1]=>[5,4,2,3,1,3]
[6,3,5,1,2,3]=>[5,2,1,3,4,3]
[6,3,5,1,3,2]=>[5,2,1,4,3,4]
[6,3,5,2,1,3]=>[5,3,1,2,4,2]
[6,3,5,2,3,1]=>[5,4,1,2,3,2]
[6,3,5,3,1,2]=>[5,3,1,4,2,4]
[6,3,5,3,2,1]=>[5,4,1,3,2,3]
[6,5,1,2,3,3]=>[6,2,1,5,3,3]
[6,5,1,3,2,3]=>[3,6,5,2,1,1]
[6,5,1,3,3,2]=>[3,6,5,1,2,2]
[6,5,2,1,3,3]=>[6,3,1,5,2,2]
[6,5,2,3,1,3]=>[6,4,1,5,2,2]
[6,5,2,3,3,1]=>[6,5,1,4,2,2]
[6,5,3,1,2,3]=>[4,1,6,3,2,2]
[6,5,3,1,3,2]=>[4,1,6,2,3,3]
[6,5,3,2,1,3]=>[4,2,6,3,1,1]
[6,5,3,2,3,1]=>[4,3,6,2,1,1]
[6,5,3,3,1,2]=>[4,2,6,1,3,3]
[6,5,3,3,2,1]=>[4,3,6,1,2,2]
[1,2,3,4,4,4]=>[1,2,3,4,4,4]
[1,2,4,3,4,4]=>[4,5,6,1,1,1]
[1,2,4,4,3,4]=>[3,4,5,1,1,1]
[1,2,4,4,4,3]=>[2,3,4,1,1,1]
[1,3,2,4,4,4]=>[1,2,4,3,3,3]
[1,3,4,2,4,4]=>[1,2,5,3,3,3]
[1,3,4,4,2,4]=>[1,2,6,3,3,3]
[1,3,4,4,4,2]=>[2,3,1,4,4,4]
[1,4,2,3,4,4]=>[5,6,1,2,2,2]
[1,4,2,4,3,4]=>[3,4,6,1,1,1]
[1,4,2,4,4,3]=>[2,3,5,1,1,1]
[1,4,3,2,4,4]=>[5,6,2,1,1,1]
[1,4,3,4,2,4]=>[5,6,3,1,1,1]
[1,4,3,4,4,2]=>[5,6,4,1,1,1]
[1,4,4,2,3,4]=>[4,5,1,2,2,2]
[1,4,4,2,4,3]=>[2,3,6,1,1,1]
[1,4,4,3,2,4]=>[4,5,2,1,1,1]
[1,4,4,3,4,2]=>[4,5,3,1,1,1]
[1,4,4,4,2,3]=>[3,4,1,2,2,2]
[1,4,4,4,3,2]=>[3,4,2,1,1,1]
[2,1,3,4,4,4]=>[1,3,2,4,4,4]
[2,1,4,3,4,4]=>[4,6,5,1,1,1]
[2,1,4,4,3,4]=>[3,5,4,1,1,1]
[2,1,4,4,4,3]=>[2,4,3,1,1,1]
[2,3,1,4,4,4]=>[1,4,2,3,3,3]
[2,3,4,1,4,4]=>[1,5,3,2,3,3]
[2,3,4,4,1,4]=>[1,6,3,3,2,3]
[2,3,4,4,4,1]=>[2,1,4,4,4,3]
[2,4,1,3,4,4]=>[5,1,2,6,2,2]
[2,4,1,4,3,4]=>[3,6,1,4,1,1]
[2,4,1,4,4,3]=>[2,5,1,3,1,1]
[2,4,3,1,4,4]=>[5,2,1,6,1,1]
[2,4,3,4,1,4]=>[5,3,1,1,6,1]
[2,4,3,4,4,1]=>[5,4,1,1,1,6]
[2,4,4,1,3,4]=>[4,1,2,2,5,2]
[2,4,4,1,4,3]=>[2,6,1,1,3,1]
[2,4,4,3,1,4]=>[4,2,1,1,5,1]
[2,4,4,3,4,1]=>[4,3,1,1,1,5]
[2,4,4,4,1,3]=>[3,1,2,2,2,4]
[2,4,4,4,3,1]=>[3,2,1,1,1,4]
[3,1,2,4,4,4]=>[1,3,4,2,2,2]
[3,1,4,2,4,4]=>[1,3,5,2,2,2]
[3,1,4,4,2,4]=>[1,3,6,2,2,2]
[3,1,4,4,4,2]=>[2,4,1,3,3,3]
[3,2,1,4,4,4]=>[1,4,3,2,2,2]
[3,2,4,1,4,4]=>[1,5,2,3,2,2]
[3,2,4,4,1,4]=>[1,6,2,2,3,2]
[3,2,4,4,4,1]=>[2,1,3,3,3,4]
[3,4,1,2,4,4]=>[1,4,2,5,2,2]
[3,4,1,4,2,4]=>[1,4,2,6,2,2]
[3,4,1,4,4,2]=>[2,5,3,1,3,3]
[3,4,2,1,4,4]=>[1,5,2,4,2,2]
[3,4,2,4,1,4]=>[1,6,2,2,4,2]
[3,4,2,4,4,1]=>[2,1,3,3,3,5]
[3,4,4,1,2,4]=>[1,5,2,2,6,2]
[3,4,4,1,4,2]=>[2,6,3,3,1,3]
[3,4,4,2,1,4]=>[1,6,2,2,5,2]
[3,4,4,2,4,1]=>[2,1,3,3,3,6]
[3,4,4,4,1,2]=>[3,1,4,4,4,2]
[3,4,4,4,2,1]=>[3,2,4,4,4,1]
[4,1,2,3,4,4]=>[6,1,3,2,3,3]
[4,1,2,4,3,4]=>[3,5,1,6,1,1]
[4,1,2,4,4,3]=>[2,4,1,5,1,1]
[4,1,3,2,4,4]=>[6,1,2,3,2,2]
[4,1,3,4,2,4]=>[6,1,2,4,2,2]
[4,1,3,4,4,2]=>[6,1,2,5,2,2]
[4,1,4,2,3,4]=>[4,6,2,1,2,2]
[4,1,4,2,4,3]=>[2,4,1,6,1,1]
[4,1,4,3,2,4]=>[4,6,1,2,1,1]
[4,1,4,3,4,2]=>[4,6,1,3,1,1]
[4,1,4,4,2,3]=>[3,5,2,1,2,2]
[4,1,4,4,3,2]=>[3,5,1,2,1,1]
[4,2,1,3,4,4]=>[6,2,3,1,3,3]
[4,2,1,4,3,4]=>[3,6,1,5,1,1]
[4,2,1,4,4,3]=>[2,5,1,4,1,1]
[4,2,3,1,4,4]=>[6,3,2,1,2,2]
[4,2,3,4,1,4]=>[6,4,2,2,1,2]
[4,2,3,4,4,1]=>[6,5,2,2,2,1]
[4,2,4,1,3,4]=>[4,1,2,2,6,2]
[4,2,4,1,4,3]=>[2,6,1,1,4,1]
[4,2,4,3,1,4]=>[4,2,1,1,6,1]
[4,2,4,3,4,1]=>[4,3,1,1,1,6]
[4,2,4,4,1,3]=>[3,1,2,2,2,5]
[4,2,4,4,3,1]=>[3,2,1,1,1,5]
[4,3,1,2,4,4]=>[6,2,1,3,1,1]
[4,3,1,4,2,4]=>[6,2,1,4,1,1]
[4,3,1,4,4,2]=>[6,2,1,5,1,1]
[4,3,2,1,4,4]=>[6,3,1,2,1,1]
[4,3,2,4,1,4]=>[6,4,1,1,2,1]
[4,3,2,4,4,1]=>[6,5,1,1,1,2]
[4,3,4,1,2,4]=>[6,3,1,1,4,1]
[4,3,4,1,4,2]=>[6,3,1,1,5,1]
[4,3,4,2,1,4]=>[6,4,1,1,3,1]
[4,3,4,2,4,1]=>[6,5,1,1,1,3]
[4,3,4,4,1,2]=>[6,4,1,1,1,5]
[4,3,4,4,2,1]=>[6,5,1,1,1,4]
[4,4,1,2,3,4]=>[5,1,3,3,2,3]
[4,4,1,2,4,3]=>[2,5,1,1,6,1]
[4,4,1,3,2,4]=>[5,1,2,2,3,2]
[4,4,1,3,4,2]=>[5,1,2,2,4,2]
[4,4,1,4,2,3]=>[3,6,2,2,1,2]
[4,4,1,4,3,2]=>[3,6,1,1,2,1]
[4,4,2,1,3,4]=>[5,2,3,3,1,3]
[4,4,2,1,4,3]=>[2,6,1,1,5,1]
[4,4,2,3,1,4]=>[5,3,2,2,1,2]
[4,4,2,3,4,1]=>[5,4,2,2,2,1]
[4,4,2,4,1,3]=>[3,1,2,2,2,6]
[4,4,2,4,3,1]=>[3,2,1,1,1,6]
[4,4,3,1,2,4]=>[5,2,1,1,3,1]
[4,4,3,1,4,2]=>[5,2,1,1,4,1]
[4,4,3,2,1,4]=>[5,3,1,1,2,1]
[4,4,3,2,4,1]=>[5,4,1,1,1,2]
[4,4,3,4,1,2]=>[5,3,1,1,1,4]
[4,4,3,4,2,1]=>[5,4,1,1,1,3]
[4,4,4,1,2,3]=>[4,1,3,3,3,2]
[4,4,4,1,3,2]=>[4,1,2,2,2,3]
[4,4,4,2,1,3]=>[4,2,3,3,3,1]
[4,4,4,2,3,1]=>[4,3,2,2,2,1]
[4,4,4,3,1,2]=>[4,2,1,1,1,3]
[4,4,4,3,2,1]=>[4,3,1,1,1,2]
[1,2,3,4,4,5]=>[1,2,3,4,4,5]
[1,2,3,4,5,4]=>[1,2,3,4,5,4]
[1,2,3,5,4,4]=>[1,2,3,4,6,4]
[1,2,4,3,4,5]=>[1,2,3,5,5,4]
[1,2,4,3,5,4]=>[1,2,3,5,4,5]
[1,2,4,4,3,5]=>[3,4,5,1,1,6]
[1,2,4,4,5,3]=>[2,3,4,1,1,5]
[1,2,4,5,3,4]=>[3,4,5,1,6,1]
[1,2,4,5,4,3]=>[2,3,4,1,5,1]
[1,2,5,3,4,4]=>[4,5,6,1,2,1]
[1,2,5,4,3,4]=>[4,5,6,2,1,2]
[1,2,5,4,4,3]=>[2,3,4,1,6,1]
[1,3,2,4,4,5]=>[1,2,4,3,3,5]
[1,3,2,4,5,4]=>[1,2,4,3,5,3]
[1,3,2,5,4,4]=>[1,2,4,3,6,3]
[1,3,4,2,4,5]=>[1,2,5,3,3,4]
[1,3,4,2,5,4]=>[1,2,5,3,4,3]
[1,3,4,4,2,5]=>[1,2,6,3,3,4]
[1,3,4,4,5,2]=>[2,3,1,4,5,4]
[1,3,4,5,2,4]=>[1,2,6,4,3,3]
[1,3,4,5,4,2]=>[2,3,1,5,4,4]
[1,3,5,2,4,4]=>[1,2,5,6,3,3]
[1,3,5,4,2,4]=>[1,2,6,5,3,3]
[1,3,5,4,4,2]=>[2,3,1,6,4,4]
[1,4,2,3,4,5]=>[1,2,4,5,5,3]
[1,4,2,3,5,4]=>[1,2,4,5,3,5]
[1,4,2,4,3,5]=>[3,4,6,1,1,5]
[1,4,2,4,5,3]=>[2,3,5,1,1,4]
[1,4,2,5,3,4]=>[3,4,6,1,5,1]
[1,4,2,5,4,3]=>[2,3,5,1,4,1]
[1,4,3,2,4,5]=>[1,2,5,4,4,3]
[1,4,3,2,5,4]=>[1,2,5,4,3,4]
[1,4,3,4,2,5]=>[1,2,6,4,4,3]
[1,4,3,4,5,2]=>[2,3,1,5,4,5]
[1,4,3,5,2,4]=>[1,2,6,3,4,4]
[1,4,3,5,4,2]=>[2,3,1,4,5,5]
[1,4,4,2,3,5]=>[4,5,1,2,2,6]
[1,4,4,2,5,3]=>[2,3,6,1,1,4]
[1,4,4,3,2,5]=>[4,5,2,1,1,6]
[1,4,4,3,5,2]=>[4,5,3,1,6,1]
[1,4,4,5,2,3]=>[3,4,1,2,5,2]
[1,4,4,5,3,2]=>[3,4,2,1,5,1]
[1,4,5,2,3,4]=>[4,5,1,6,2,2]
[1,4,5,2,4,3]=>[2,3,6,4,1,1]
[1,4,5,3,2,4]=>[4,5,2,6,1,1]
[1,4,5,3,4,2]=>[4,5,3,6,1,1]
[1,4,5,4,2,3]=>[3,4,1,5,2,2]
[1,4,5,4,3,2]=>[3,4,2,5,1,1]
[1,5,2,3,4,4]=>[5,6,1,3,2,2]
[1,5,2,4,3,4]=>[5,6,1,2,3,3]
[1,5,2,4,4,3]=>[2,3,5,6,1,1]
[1,5,3,2,4,4]=>[5,6,2,3,1,1]
[1,5,3,4,2,4]=>[5,6,3,2,1,1]
[1,5,3,4,4,2]=>[5,6,4,2,1,1]
[1,5,4,2,3,4]=>[5,6,2,1,3,3]
[1,5,4,2,4,3]=>[2,3,6,5,1,1]
[1,5,4,3,2,4]=>[5,6,3,1,2,2]
[1,5,4,3,4,2]=>[5,6,4,1,2,2]
[1,5,4,4,2,3]=>[3,4,1,6,2,2]
[1,5,4,4,3,2]=>[3,4,2,6,1,1]
[2,1,3,4,4,5]=>[1,3,2,4,4,5]
[2,1,3,4,5,4]=>[1,3,2,4,5,4]
[2,1,3,5,4,4]=>[1,3,2,4,6,4]
[2,1,4,3,4,5]=>[1,3,2,5,5,4]
[2,1,4,3,5,4]=>[1,3,2,5,4,5]
[2,1,4,4,3,5]=>[3,5,4,1,1,6]
[2,1,4,4,5,3]=>[2,4,3,1,1,5]
[2,1,4,5,3,4]=>[3,5,4,1,6,1]
[2,1,4,5,4,3]=>[2,4,3,1,5,1]
[2,1,5,3,4,4]=>[4,6,5,1,2,1]
[2,1,5,4,3,4]=>[4,6,5,2,1,2]
[2,1,5,4,4,3]=>[2,4,3,1,6,1]
[2,3,1,4,4,5]=>[1,4,2,3,3,5]
[2,3,1,4,5,4]=>[1,4,2,3,5,3]
[2,3,1,5,4,4]=>[1,4,2,3,6,3]
[2,3,4,1,4,5]=>[1,5,2,3,3,4]
[2,3,4,1,5,4]=>[1,5,2,3,4,3]
[2,3,4,4,1,5]=>[1,6,3,2,3,4]
[2,3,4,4,5,1]=>[2,1,4,5,4,3]
[2,3,4,5,1,4]=>[1,6,4,3,2,3]
[2,3,4,5,4,1]=>[2,1,5,4,4,3]
[2,3,5,1,4,4]=>[1,5,6,2,3,3]
[2,3,5,4,1,4]=>[1,6,5,3,2,3]
[2,3,5,4,4,1]=>[2,1,6,4,4,3]
[2,4,1,3,4,5]=>[1,4,2,5,5,3]
[2,4,1,3,5,4]=>[1,4,2,5,3,5]
[2,4,1,4,3,5]=>[3,6,4,1,1,5]
[2,4,1,4,5,3]=>[2,5,3,1,1,4]
[2,4,1,5,3,4]=>[3,6,4,1,5,1]
[2,4,1,5,4,3]=>[2,5,3,1,4,1]
[2,4,3,1,4,5]=>[1,5,2,4,4,3]
[2,4,3,1,5,4]=>[1,5,2,4,3,4]
[2,4,3,4,1,5]=>[1,6,4,2,4,3]
[2,4,3,4,5,1]=>[2,1,5,4,5,3]
[2,4,3,5,1,4]=>[1,6,3,4,2,4]
[2,4,3,5,4,1]=>[2,1,4,5,5,3]
[2,4,4,1,3,5]=>[4,1,2,5,2,6]
[2,4,4,1,5,3]=>[2,6,1,3,1,4]
[2,4,4,3,1,5]=>[4,2,1,5,1,6]
[2,4,4,3,5,1]=>[4,3,1,6,1,5]
[2,4,4,5,1,3]=>[3,1,2,5,2,4]
[2,4,4,5,3,1]=>[3,2,1,5,1,4]
[2,4,5,1,3,4]=>[4,1,6,2,5,2]
[2,4,5,1,4,3]=>[2,6,4,1,3,1]
[2,4,5,3,1,4]=>[4,2,6,1,5,1]
[2,4,5,3,4,1]=>[4,3,6,1,1,5]
[2,4,5,4,1,3]=>[3,1,5,2,2,4]
[2,4,5,4,3,1]=>[3,2,5,1,1,4]
[2,5,1,3,4,4]=>[5,1,3,6,2,2]
[2,5,1,4,3,4]=>[5,1,2,6,3,3]
[2,5,1,4,4,3]=>[2,5,6,3,1,1]
[2,5,3,1,4,4]=>[5,2,3,6,1,1]
[2,5,3,4,1,4]=>[5,3,2,1,6,1]
[2,5,3,4,4,1]=>[5,4,2,1,1,6]
[2,5,4,1,3,4]=>[5,2,1,3,6,3]
[2,5,4,1,4,3]=>[2,6,5,1,3,1]
[2,5,4,3,1,4]=>[5,3,1,2,6,2]
[2,5,4,3,4,1]=>[5,4,1,2,2,6]
[2,5,4,4,1,3]=>[3,1,6,2,2,4]
[2,5,4,4,3,1]=>[3,2,6,1,1,4]
[3,1,2,4,4,5]=>[1,3,4,2,2,5]
[3,1,2,4,5,4]=>[1,3,4,2,5,2]
[3,1,2,5,4,4]=>[1,3,4,2,6,2]
[3,1,4,2,4,5]=>[1,3,5,2,2,4]
[3,1,4,2,5,4]=>[1,3,5,2,4,2]
[3,1,4,4,2,5]=>[1,3,6,2,2,4]
[3,1,4,4,5,2]=>[2,4,1,3,5,3]
[3,1,4,5,2,4]=>[1,3,6,4,2,2]
[3,1,4,5,4,2]=>[2,4,1,5,3,3]
[3,1,5,2,4,4]=>[1,3,5,6,2,2]
[3,1,5,4,2,4]=>[1,3,6,5,2,2]
[3,1,5,4,4,2]=>[2,4,1,6,3,3]
[3,2,1,4,4,5]=>[1,4,3,2,2,5]
[3,2,1,4,5,4]=>[1,4,3,2,5,2]
[3,2,1,5,4,4]=>[1,4,3,2,6,2]
[3,2,4,1,4,5]=>[1,5,3,2,2,4]
[3,2,4,1,5,4]=>[1,5,3,2,4,2]
[3,2,4,4,1,5]=>[1,6,2,3,2,4]
[3,2,4,4,5,1]=>[2,1,3,5,3,4]
[3,2,4,5,1,4]=>[1,6,4,2,3,2]
[3,2,4,5,4,1]=>[2,1,5,3,3,4]
[3,2,5,1,4,4]=>[1,5,6,3,2,2]
[3,2,5,4,1,4]=>[1,6,5,2,3,2]
[3,2,5,4,4,1]=>[2,1,6,3,3,4]
[3,4,1,2,4,5]=>[1,4,5,2,2,3]
[3,4,1,2,5,4]=>[1,4,5,2,3,2]
[3,4,1,4,2,5]=>[1,4,6,2,2,3]
[3,4,1,4,5,2]=>[2,5,1,3,4,3]
[3,4,1,5,2,4]=>[1,4,6,3,2,2]
[3,4,1,5,4,2]=>[2,5,1,4,3,3]
[3,4,2,1,4,5]=>[1,5,4,2,2,3]
[3,4,2,1,5,4]=>[1,5,4,2,3,2]
[3,4,2,4,1,5]=>[1,6,2,4,2,3]
[3,4,2,4,5,1]=>[2,1,3,4,3,5]
[3,4,2,5,1,4]=>[1,6,3,2,4,2]
[3,4,2,5,4,1]=>[2,1,4,3,3,5]
[3,4,4,1,2,5]=>[1,5,2,6,2,3]
[3,4,4,1,5,2]=>[2,6,3,1,4,3]
[3,4,4,2,1,5]=>[1,6,2,5,2,3]
[3,4,4,2,5,1]=>[2,1,3,4,3,6]
[3,4,4,5,1,2]=>[3,1,4,5,4,2]
[3,4,4,5,2,1]=>[3,2,4,5,4,1]
[3,4,5,1,2,4]=>[1,5,3,2,6,2]
[3,4,5,1,4,2]=>[2,6,4,3,1,3]
[3,4,5,2,1,4]=>[1,6,3,2,5,2]
[3,4,5,2,4,1]=>[2,1,4,3,3,6]
[3,4,5,4,1,2]=>[3,1,5,4,4,2]
[3,4,5,4,2,1]=>[3,2,5,4,4,1]
[3,5,1,2,4,4]=>[1,4,6,5,2,2]
[3,5,1,4,2,4]=>[1,4,5,6,2,2]
[3,5,1,4,4,2]=>[2,5,6,1,3,3]
[3,5,2,1,4,4]=>[1,5,6,4,2,2]
[3,5,2,4,1,4]=>[1,6,5,2,4,2]
[3,5,2,4,4,1]=>[2,1,6,3,3,5]
[3,5,4,1,2,4]=>[1,5,4,2,6,2]
[3,5,4,1,4,2]=>[2,6,5,3,1,3]
[3,5,4,2,1,4]=>[1,6,4,2,5,2]
[3,5,4,2,4,1]=>[2,1,5,3,3,6]
[3,5,4,4,1,2]=>[3,1,6,4,4,2]
[3,5,4,4,2,1]=>[3,2,6,4,4,1]
[4,1,2,3,4,5]=>[1,3,4,5,5,2]
[4,1,2,3,5,4]=>[1,3,4,5,2,5]
[4,1,2,4,3,5]=>[3,5,6,1,1,4]
[4,1,2,4,5,3]=>[2,4,5,1,1,3]
[4,1,2,5,3,4]=>[3,5,6,1,4,1]
[4,1,2,5,4,3]=>[2,4,5,1,3,1]
[4,1,3,2,4,5]=>[1,3,5,4,4,2]
[4,1,3,2,5,4]=>[1,3,5,4,2,4]
[4,1,3,4,2,5]=>[1,3,6,4,4,2]
[4,1,3,4,5,2]=>[2,4,1,5,3,5]
[4,1,3,5,2,4]=>[1,3,6,2,4,4]
[4,1,3,5,4,2]=>[2,4,1,3,5,5]
[4,1,4,2,3,5]=>[4,6,1,2,2,5]
[4,1,4,2,5,3]=>[2,4,6,1,1,3]
[4,1,4,3,2,5]=>[4,6,2,1,1,5]
[4,1,4,3,5,2]=>[4,6,3,1,5,1]
[4,1,4,5,2,3]=>[3,5,1,2,4,2]
[4,1,4,5,3,2]=>[3,5,2,1,4,1]
[4,1,5,2,3,4]=>[4,6,1,5,2,2]
[4,1,5,2,4,3]=>[2,4,6,3,1,1]
[4,1,5,3,2,4]=>[4,6,2,5,1,1]
[4,1,5,3,4,2]=>[4,6,3,5,1,1]
[4,1,5,4,2,3]=>[3,5,1,4,2,2]
[4,1,5,4,3,2]=>[3,5,2,4,1,1]
[4,2,1,3,4,5]=>[1,4,3,5,5,2]
[4,2,1,3,5,4]=>[1,4,3,5,2,5]
[4,2,1,4,3,5]=>[3,6,5,1,1,4]
[4,2,1,4,5,3]=>[2,5,4,1,1,3]
[4,2,1,5,3,4]=>[3,6,5,1,4,1]
[4,2,1,5,4,3]=>[2,5,4,1,3,1]
[4,2,3,1,4,5]=>[1,5,3,4,4,2]
[4,2,3,1,5,4]=>[1,5,3,4,2,4]
[4,2,3,4,1,5]=>[1,6,4,3,4,2]
[4,2,3,4,5,1]=>[2,1,5,3,5,4]
[4,2,3,5,1,4]=>[1,6,2,4,3,4]
[4,2,3,5,4,1]=>[2,1,3,5,5,4]
[4,2,4,1,3,5]=>[4,1,2,6,2,5]
[4,2,4,1,5,3]=>[2,6,1,4,1,3]
[4,2,4,3,1,5]=>[4,2,1,6,1,5]
[4,2,4,3,5,1]=>[4,3,1,5,1,6]
[4,2,4,5,1,3]=>[3,1,2,4,2,5]
[4,2,4,5,3,1]=>[3,2,1,4,1,5]
[4,2,5,1,3,4]=>[4,1,5,2,6,2]
[4,2,5,1,4,3]=>[2,6,3,1,4,1]
[4,2,5,3,1,4]=>[4,2,5,1,6,1]
[4,2,5,3,4,1]=>[4,3,5,1,1,6]
[4,2,5,4,1,3]=>[3,1,4,2,2,5]
[4,2,5,4,3,1]=>[3,2,4,1,1,5]
[4,3,1,2,4,5]=>[1,4,5,3,3,2]
[4,3,1,2,5,4]=>[1,4,5,3,2,3]
[4,3,1,4,2,5]=>[1,4,6,3,3,2]
[4,3,1,4,5,2]=>[2,5,1,4,3,4]
[4,3,1,5,2,4]=>[1,4,6,2,3,3]
[4,3,1,5,4,2]=>[2,5,1,3,4,4]
[4,3,2,1,4,5]=>[1,5,4,3,3,2]
[4,3,2,1,5,4]=>[1,5,4,3,2,3]
[4,3,2,4,1,5]=>[1,6,3,4,3,2]
[4,3,2,4,5,1]=>[2,1,4,3,4,5]
[4,3,2,5,1,4]=>[1,6,2,3,4,3]
[4,3,2,5,4,1]=>[2,1,3,4,4,5]
[4,3,4,1,2,5]=>[1,5,3,6,3,2]
[4,3,4,1,5,2]=>[2,6,4,1,3,4]
[4,3,4,2,1,5]=>[1,6,3,5,3,2]
[4,3,4,2,5,1]=>[2,1,4,3,4,6]
[4,3,4,5,1,2]=>[3,1,5,4,5,2]
[4,3,4,5,2,1]=>[3,2,5,4,5,1]
[4,3,5,1,2,4]=>[1,5,2,3,6,3]
[4,3,5,1,4,2]=>[2,6,3,4,1,4]
[4,3,5,2,1,4]=>[1,6,2,3,5,3]
[4,3,5,2,4,1]=>[2,1,3,4,4,6]
[4,3,5,4,1,2]=>[3,1,4,5,5,2]
[4,3,5,4,2,1]=>[3,2,4,5,5,1]
[4,4,1,2,3,5]=>[5,1,3,2,3,6]
[4,4,1,2,5,3]=>[2,5,1,6,1,3]
[4,4,1,3,2,5]=>[5,1,2,3,2,6]
[4,4,1,3,5,2]=>[5,1,2,4,6,2]
[4,4,1,5,2,3]=>[3,6,2,1,4,2]
[4,4,1,5,3,2]=>[3,6,1,2,4,1]
[4,4,2,1,3,5]=>[5,2,3,1,3,6]
[4,4,2,1,5,3]=>[2,6,1,5,1,3]
[4,4,2,3,1,5]=>[5,3,2,1,2,6]
[4,4,2,3,5,1]=>[5,4,2,6,2,1]
[4,4,2,5,1,3]=>[3,1,2,4,2,6]
[4,4,2,5,3,1]=>[3,2,1,4,1,6]
[4,4,3,1,2,5]=>[5,2,1,3,1,6]
[4,4,3,1,5,2]=>[5,2,1,4,6,1]
[4,4,3,2,1,5]=>[5,3,1,2,1,6]
[4,4,3,2,5,1]=>[5,4,1,6,1,2]
[4,4,3,5,1,2]=>[5,3,1,6,1,4]
[4,4,3,5,2,1]=>[5,4,1,6,1,3]
[4,4,5,1,2,3]=>[4,1,3,5,3,2]
[4,4,5,1,3,2]=>[4,1,2,5,2,3]
[4,4,5,2,1,3]=>[4,2,3,5,3,1]
[4,4,5,2,3,1]=>[4,3,2,5,2,1]
[4,4,5,3,1,2]=>[4,2,1,5,1,3]
[4,4,5,3,2,1]=>[4,3,1,5,1,2]
[4,5,1,2,3,4]=>[5,1,6,3,2,3]
[4,5,1,2,4,3]=>[2,5,3,1,6,1]
[4,5,1,3,2,4]=>[5,1,6,2,3,2]
[4,5,1,3,4,2]=>[5,1,6,2,4,2]
[4,5,1,4,2,3]=>[3,6,4,2,1,2]
[4,5,1,4,3,2]=>[3,6,4,1,2,1]
[4,5,2,1,3,4]=>[5,2,6,3,1,3]
[4,5,2,1,4,3]=>[2,6,3,1,5,1]
[4,5,2,3,1,4]=>[5,3,6,2,1,2]
[4,5,2,3,4,1]=>[5,4,6,2,2,1]
[4,5,2,4,1,3]=>[3,1,4,2,2,6]
[4,5,2,4,3,1]=>[3,2,4,1,1,6]
[4,5,3,1,2,4]=>[5,2,6,1,3,1]
[4,5,3,1,4,2]=>[5,2,6,1,4,1]
[4,5,3,2,1,4]=>[5,3,6,1,2,1]
[4,5,3,2,4,1]=>[5,4,6,1,1,2]
[4,5,3,4,1,2]=>[5,3,6,1,1,4]
[4,5,3,4,2,1]=>[5,4,6,1,1,3]
[4,5,4,1,2,3]=>[4,1,5,3,3,2]
[4,5,4,1,3,2]=>[4,1,5,2,2,3]
[4,5,4,2,1,3]=>[4,2,5,3,3,1]
[4,5,4,2,3,1]=>[4,3,5,2,2,1]
[4,5,4,3,1,2]=>[4,2,5,1,1,3]
[4,5,4,3,2,1]=>[4,3,5,1,1,2]
[5,1,2,3,4,4]=>[6,1,4,2,3,3]
[5,1,2,4,3,4]=>[6,1,3,2,4,4]
[5,1,2,4,4,3]=>[2,4,6,5,1,1]
[5,1,3,2,4,4]=>[6,1,4,3,2,2]
[5,1,3,4,2,4]=>[6,1,3,4,2,2]
[5,1,3,4,4,2]=>[6,1,3,5,2,2]
[5,1,4,2,3,4]=>[6,1,2,3,4,4]
[5,1,4,2,4,3]=>[2,4,5,6,1,1]
[5,1,4,3,2,4]=>[6,1,2,4,3,3]
[5,1,4,3,4,2]=>[6,1,2,5,3,3]
[5,1,4,4,2,3]=>[3,5,6,1,2,2]
[5,1,4,4,3,2]=>[3,5,6,2,1,1]
[5,2,1,3,4,4]=>[6,2,4,1,3,3]
[5,2,1,4,3,4]=>[6,2,3,1,4,4]
[5,2,1,4,4,3]=>[2,5,6,4,1,1]
[5,2,3,1,4,4]=>[6,3,4,1,2,2]
[5,2,3,4,1,4]=>[6,4,3,2,1,2]
[5,2,3,4,4,1]=>[6,5,3,2,2,1]
[5,2,4,1,3,4]=>[6,3,2,4,1,4]
[5,2,4,1,4,3]=>[2,6,5,1,4,1]
[5,2,4,3,1,4]=>[6,4,2,3,1,3]
[5,2,4,3,4,1]=>[6,5,2,3,3,1]
[5,2,4,4,1,3]=>[3,1,6,2,2,5]
[5,2,4,4,3,1]=>[3,2,6,1,1,5]
[5,3,1,2,4,4]=>[6,2,4,3,1,1]
[5,3,1,4,2,4]=>[6,2,3,4,1,1]
[5,3,1,4,4,2]=>[6,2,3,5,1,1]
[5,3,2,1,4,4]=>[6,3,4,2,1,1]
[5,3,2,4,1,4]=>[6,4,3,1,2,1]
[5,3,2,4,4,1]=>[6,5,3,1,1,2]
[5,3,4,1,2,4]=>[6,3,2,1,4,1]
[5,3,4,1,4,2]=>[6,3,2,1,5,1]
[5,3,4,2,1,4]=>[6,4,2,1,3,1]
[5,3,4,2,4,1]=>[6,5,2,1,1,3]
[5,3,4,4,1,2]=>[6,4,2,1,1,5]
[5,3,4,4,2,1]=>[6,5,2,1,1,4]
[5,4,1,2,3,4]=>[6,2,1,4,3,4]
[5,4,1,2,4,3]=>[2,5,4,1,6,1]
[5,4,1,3,2,4]=>[6,2,1,3,4,3]
[5,4,1,3,4,2]=>[6,2,1,3,5,3]
[5,4,1,4,2,3]=>[3,6,5,2,1,2]
[5,4,1,4,3,2]=>[3,6,5,1,2,1]
[5,4,2,1,3,4]=>[6,3,1,4,2,4]
[5,4,2,1,4,3]=>[2,6,4,1,5,1]
[5,4,2,3,1,4]=>[6,4,1,3,2,3]
[5,4,2,3,4,1]=>[6,5,1,3,3,2]
[5,4,2,4,1,3]=>[3,1,5,2,2,6]
[5,4,2,4,3,1]=>[3,2,5,1,1,6]
[5,4,3,1,2,4]=>[6,3,1,2,4,2]
[5,4,3,1,4,2]=>[6,3,1,2,5,2]
[5,4,3,2,1,4]=>[6,4,1,2,3,2]
[5,4,3,2,4,1]=>[6,5,1,2,2,3]
[5,4,3,4,1,2]=>[6,4,1,2,2,5]
[5,4,3,4,2,1]=>[6,5,1,2,2,4]
[5,4,4,1,2,3]=>[4,1,6,3,3,2]
[5,4,4,1,3,2]=>[4,1,6,2,2,3]
[5,4,4,2,1,3]=>[4,2,6,3,3,1]
[5,4,4,2,3,1]=>[4,3,6,2,2,1]
[5,4,4,3,1,2]=>[4,2,6,1,1,3]
[5,4,4,3,2,1]=>[4,3,6,1,1,2]
[1,2,3,4,4,6]=>[1,2,3,4,4,6]
[1,2,3,4,6,4]=>[2,3,4,5,5,1]
[1,2,3,6,4,4]=>[2,3,4,5,1,5]
[1,2,4,3,4,6]=>[4,5,6,1,1,2]
[1,2,4,3,6,4]=>[4,5,6,1,1,3]
[1,2,4,4,3,6]=>[4,5,6,2,2,1]
[1,2,4,4,6,3]=>[2,3,4,1,1,6]
[1,2,4,6,3,4]=>[3,4,5,1,1,2]
[1,2,4,6,4,3]=>[3,4,5,2,2,1]
[1,2,6,3,4,4]=>[4,5,6,1,3,1]
[1,2,6,4,3,4]=>[3,4,5,1,2,1]
[1,2,6,4,4,3]=>[3,4,5,2,1,2]
[1,3,2,4,4,6]=>[1,2,4,3,3,6]
[1,3,2,4,6,4]=>[2,3,5,4,4,1]
[1,3,2,6,4,4]=>[2,3,5,4,1,4]
[1,3,4,2,4,6]=>[1,2,5,3,3,6]
[1,3,4,2,6,4]=>[2,3,6,4,4,1]
[1,3,4,4,2,6]=>[1,2,6,3,3,5]
[1,3,4,4,6,2]=>[2,3,1,4,6,4]
[1,3,4,6,2,4]=>[3,4,1,5,2,5]
[1,3,4,6,4,2]=>[3,4,2,5,1,5]
[1,3,6,2,4,4]=>[2,3,6,1,4,4]
[1,3,6,4,2,4]=>[3,4,1,2,5,5]
[1,3,6,4,4,2]=>[3,4,2,1,5,5]
[1,4,2,3,4,6]=>[5,6,1,2,2,3]
[1,4,2,3,6,4]=>[5,6,1,2,2,4]
[1,4,2,4,3,6]=>[5,6,1,3,3,2]
[1,4,2,4,6,3]=>[2,3,5,1,1,6]
[1,4,2,6,3,4]=>[3,4,6,1,1,2]
[1,4,2,6,4,3]=>[3,4,6,2,2,1]
[1,4,3,2,4,6]=>[5,6,2,1,1,3]
[1,4,3,2,6,4]=>[5,6,2,1,1,4]
[1,4,3,4,2,6]=>[5,6,3,1,1,2]
[1,4,3,4,6,2]=>[5,6,4,1,2,1]
[1,4,3,6,2,4]=>[5,6,3,1,4,1]
[1,4,3,6,4,2]=>[5,6,4,1,3,1]
[1,4,4,2,3,6]=>[5,6,2,3,3,1]
[1,4,4,2,6,3]=>[2,3,6,1,1,5]
[1,4,4,3,2,6]=>[5,6,3,2,2,1]
[1,4,4,3,6,2]=>[5,6,4,2,1,2]
[1,4,4,6,2,3]=>[3,4,1,2,6,2]
[1,4,4,6,3,2]=>[3,4,2,1,6,1]
[1,4,6,2,3,4]=>[4,5,1,2,3,2]
[1,4,6,2,4,3]=>[4,5,1,3,2,3]
[1,4,6,3,2,4]=>[4,5,2,1,3,1]
[1,4,6,3,4,2]=>[4,5,3,1,2,1]
[1,4,6,4,2,3]=>[4,5,2,3,1,3]
[1,4,6,4,3,2]=>[4,5,3,2,1,2]
[1,6,2,3,4,4]=>[5,6,1,4,2,2]
[1,6,2,4,3,4]=>[3,4,6,2,1,1]
[1,6,2,4,4,3]=>[3,4,6,1,2,2]
[1,6,3,2,4,4]=>[5,6,2,4,1,1]
[1,6,3,4,2,4]=>[5,6,3,4,1,1]
[1,6,3,4,4,2]=>[5,6,4,3,1,1]
[1,6,4,2,3,4]=>[4,5,1,3,2,2]
[1,6,4,2,4,3]=>[4,5,1,2,3,3]
[1,6,4,3,2,4]=>[4,5,2,3,1,1]
[1,6,4,3,4,2]=>[4,5,3,2,1,1]
[1,6,4,4,2,3]=>[4,5,2,1,3,3]
[1,6,4,4,3,2]=>[4,5,3,1,2,2]
[2,1,3,4,4,6]=>[1,3,2,4,4,6]
[2,1,3,4,6,4]=>[2,4,3,5,5,1]
[2,1,3,6,4,4]=>[2,4,3,5,1,5]
[2,1,4,3,4,6]=>[4,6,5,1,1,2]
[2,1,4,3,6,4]=>[4,6,5,1,1,3]
[2,1,4,4,3,6]=>[4,6,5,2,2,1]
[2,1,4,4,6,3]=>[2,4,3,1,1,6]
[2,1,4,6,3,4]=>[3,5,4,1,1,2]
[2,1,4,6,4,3]=>[3,5,4,2,2,1]
[2,1,6,3,4,4]=>[4,6,5,1,3,1]
[2,1,6,4,3,4]=>[3,5,4,1,2,1]
[2,1,6,4,4,3]=>[3,5,4,2,1,2]
[2,3,1,4,4,6]=>[1,4,2,3,3,6]
[2,3,1,4,6,4]=>[2,5,3,4,4,1]
[2,3,1,6,4,4]=>[2,5,3,4,1,4]
[2,3,4,1,4,6]=>[1,5,3,2,3,6]
[2,3,4,1,6,4]=>[2,6,4,3,4,1]
[2,3,4,4,1,6]=>[1,6,3,2,3,5]
[2,3,4,4,6,1]=>[2,1,4,6,4,3]
[2,3,4,6,1,4]=>[3,1,5,2,4,5]
[2,3,4,6,4,1]=>[3,2,5,1,5,4]
[2,3,6,1,4,4]=>[2,6,1,3,4,4]
[2,3,6,4,1,4]=>[3,1,2,5,4,5]
[2,3,6,4,4,1]=>[3,2,1,5,5,4]
[2,4,1,3,4,6]=>[5,1,2,6,2,3]
[2,4,1,3,6,4]=>[5,1,2,6,2,4]
[2,4,1,4,3,6]=>[5,1,3,6,3,2]
[2,4,1,4,6,3]=>[2,5,1,3,1,6]
[2,4,1,6,3,4]=>[3,6,1,4,1,2]
[2,4,1,6,4,3]=>[3,6,2,4,2,1]
[2,4,3,1,4,6]=>[5,2,1,6,1,3]
[2,4,3,1,6,4]=>[5,2,1,6,1,4]
[2,4,3,4,1,6]=>[5,3,1,6,1,2]
[2,4,3,4,6,1]=>[5,4,1,2,1,6]
[2,4,3,6,1,4]=>[5,3,1,4,6,1]
[2,4,3,6,4,1]=>[5,4,1,3,1,6]
[2,4,4,1,3,6]=>[5,2,3,6,3,1]
[2,4,4,1,6,3]=>[2,6,1,3,1,5]
[2,4,4,3,1,6]=>[5,3,2,6,2,1]
[2,4,4,3,6,1]=>[5,4,2,1,2,6]
[2,4,4,6,1,3]=>[3,1,2,6,2,4]
[2,4,4,6,3,1]=>[3,2,1,6,1,4]
[2,4,6,1,3,4]=>[4,1,2,3,5,2]
[2,4,6,1,4,3]=>[4,1,3,2,5,3]
[2,4,6,3,1,4]=>[4,2,1,3,5,1]
[2,4,6,3,4,1]=>[4,3,1,2,1,5]
[2,4,6,4,1,3]=>[4,2,3,1,3,5]
[2,4,6,4,3,1]=>[4,3,2,1,2,5]
[2,6,1,3,4,4]=>[5,1,4,6,2,2]
[2,6,1,4,3,4]=>[3,6,2,4,1,1]
[2,6,1,4,4,3]=>[3,6,1,4,2,2]
[2,6,3,1,4,4]=>[5,2,4,6,1,1]
[2,6,3,4,1,4]=>[5,3,4,1,6,1]
[2,6,3,4,4,1]=>[5,4,3,1,1,6]
[2,6,4,1,3,4]=>[4,1,3,2,5,2]
[2,6,4,1,4,3]=>[4,1,2,3,5,3]
[2,6,4,3,1,4]=>[4,2,3,1,5,1]
[2,6,4,3,4,1]=>[4,3,2,1,1,5]
[2,6,4,4,1,3]=>[4,2,1,3,3,5]
[2,6,4,4,3,1]=>[4,3,1,2,2,5]
[3,1,2,4,4,6]=>[1,3,4,2,2,6]
[3,1,2,4,6,4]=>[2,4,5,3,3,1]
[3,1,2,6,4,4]=>[2,4,5,3,1,3]
[3,1,4,2,4,6]=>[1,3,5,2,2,6]
[3,1,4,2,6,4]=>[2,4,6,3,3,1]
[3,1,4,4,2,6]=>[1,3,6,2,2,5]
[3,1,4,4,6,2]=>[2,4,1,3,6,3]
[3,1,4,6,2,4]=>[3,5,1,4,2,4]
[3,1,4,6,4,2]=>[3,5,2,4,1,4]
[3,1,6,2,4,4]=>[2,4,6,1,3,3]
[3,1,6,4,2,4]=>[3,5,1,2,4,4]
[3,1,6,4,4,2]=>[3,5,2,1,4,4]
[3,2,1,4,4,6]=>[1,4,3,2,2,6]
[3,2,1,4,6,4]=>[2,5,4,3,3,1]
[3,2,1,6,4,4]=>[2,5,4,3,1,3]
[3,2,4,1,4,6]=>[1,5,2,3,2,6]
[3,2,4,1,6,4]=>[2,6,3,4,3,1]
[3,2,4,4,1,6]=>[1,6,2,3,2,5]
[3,2,4,4,6,1]=>[2,1,3,6,3,4]
[3,2,4,6,1,4]=>[3,1,4,2,5,4]
[3,2,4,6,4,1]=>[3,2,4,1,4,5]
[3,2,6,1,4,4]=>[2,6,1,4,3,3]
[3,2,6,4,1,4]=>[3,1,2,4,5,4]
[3,2,6,4,4,1]=>[3,2,1,4,4,5]
[3,4,1,2,4,6]=>[1,4,2,5,2,6]
[3,4,1,2,6,4]=>[2,5,3,6,3,1]
[3,4,1,4,2,6]=>[1,4,2,6,2,5]
[3,4,1,4,6,2]=>[2,5,3,1,6,3]
[3,4,1,6,2,4]=>[3,6,4,1,2,4]
[3,4,1,6,4,2]=>[3,6,4,2,1,4]
[3,4,2,1,4,6]=>[1,5,2,4,2,6]
[3,4,2,1,6,4]=>[2,6,3,5,3,1]
[3,4,2,4,1,6]=>[1,6,2,4,2,5]
[3,4,2,4,6,1]=>[2,1,3,6,3,5]
[3,4,2,6,1,4]=>[3,1,4,2,6,4]
[3,4,2,6,4,1]=>[3,2,4,1,4,6]
[3,4,4,1,2,6]=>[1,5,2,6,2,4]
[3,4,4,1,6,2]=>[2,6,3,1,5,3]
[3,4,4,2,1,6]=>[1,6,2,5,2,4]
[3,4,4,2,6,1]=>[2,1,3,5,3,6]
[3,4,4,6,1,2]=>[3,1,4,6,4,2]
[3,4,4,6,2,1]=>[3,2,4,6,4,1]
[3,4,6,1,2,4]=>[4,1,5,3,2,5]
[3,4,6,1,4,2]=>[4,1,5,2,3,5]
[3,4,6,2,1,4]=>[4,2,5,3,1,5]
[3,4,6,2,4,1]=>[4,3,5,2,5,1]
[3,4,6,4,1,2]=>[4,2,5,1,5,3]
[3,4,6,4,2,1]=>[4,3,5,1,5,2]
[3,6,1,2,4,4]=>[2,5,1,6,3,3]
[3,6,1,4,2,4]=>[3,6,2,1,4,4]
[3,6,1,4,4,2]=>[3,6,1,2,4,4]
[3,6,2,1,4,4]=>[2,6,1,5,3,3]
[3,6,2,4,1,4]=>[3,1,2,4,6,4]
[3,6,2,4,4,1]=>[3,2,1,4,4,6]
[3,6,4,1,2,4]=>[4,1,3,5,2,5]
[3,6,4,1,4,2]=>[4,1,2,5,3,5]
[3,6,4,2,1,4]=>[4,2,3,5,1,5]
[3,6,4,2,4,1]=>[4,3,2,5,5,1]
[3,6,4,4,1,2]=>[4,2,1,5,5,3]
[3,6,4,4,2,1]=>[4,3,1,5,5,2]
[4,1,2,3,4,6]=>[6,1,3,2,3,4]
[4,1,2,3,6,4]=>[6,1,3,2,3,5]
[4,1,2,4,3,6]=>[6,1,4,2,4,3]
[4,1,2,4,6,3]=>[2,4,1,5,1,6]
[4,1,2,6,3,4]=>[3,5,1,6,1,2]
[4,1,2,6,4,3]=>[3,5,2,6,2,1]
[4,1,3,2,4,6]=>[6,1,2,3,2,4]
[4,1,3,2,6,4]=>[6,1,2,3,2,5]
[4,1,3,4,2,6]=>[6,1,2,4,2,3]
[4,1,3,4,6,2]=>[6,1,2,5,3,2]
[4,1,3,6,2,4]=>[6,1,2,4,5,2]
[4,1,3,6,4,2]=>[6,1,2,5,4,2]
[4,1,4,2,3,6]=>[6,1,4,3,4,2]
[4,1,4,2,6,3]=>[2,4,1,6,1,5]
[4,1,4,3,2,6]=>[6,1,3,4,3,2]
[4,1,4,3,6,2]=>[6,1,3,5,2,3]
[4,1,4,6,2,3]=>[3,5,2,1,6,2]
[4,1,4,6,3,2]=>[3,5,1,2,6,1]
[4,1,6,2,3,4]=>[4,6,2,1,3,2]
[4,1,6,2,4,3]=>[4,6,3,1,2,3]
[4,1,6,3,2,4]=>[4,6,1,2,3,1]
[4,1,6,3,4,2]=>[4,6,1,3,2,1]
[4,1,6,4,2,3]=>[4,6,3,2,1,3]
[4,1,6,4,3,2]=>[4,6,2,3,1,2]
[4,2,1,3,4,6]=>[6,2,3,1,3,4]
[4,2,1,3,6,4]=>[6,2,3,1,3,5]
[4,2,1,4,3,6]=>[6,2,4,1,4,3]
[4,2,1,4,6,3]=>[2,5,1,4,1,6]
[4,2,1,6,3,4]=>[3,6,1,5,1,2]
[4,2,1,6,4,3]=>[3,6,2,5,2,1]
[4,2,3,1,4,6]=>[6,3,2,1,2,4]
[4,2,3,1,6,4]=>[6,3,2,1,2,5]
[4,2,3,4,1,6]=>[6,4,2,1,2,3]
[4,2,3,4,6,1]=>[6,5,2,3,2,1]
[4,2,3,6,1,4]=>[6,4,2,5,1,2]
[4,2,3,6,4,1]=>[6,5,2,4,2,1]
[4,2,4,1,3,6]=>[6,3,4,1,4,2]
[4,2,4,1,6,3]=>[2,6,1,4,1,5]
[4,2,4,3,1,6]=>[6,4,3,1,3,2]
[4,2,4,3,6,1]=>[6,5,3,2,3,1]
[4,2,4,6,1,3]=>[3,1,2,6,2,5]
[4,2,4,6,3,1]=>[3,2,1,6,1,5]
[4,2,6,1,3,4]=>[4,1,2,3,6,2]
[4,2,6,1,4,3]=>[4,1,3,2,6,3]
[4,2,6,3,1,4]=>[4,2,1,3,6,1]
[4,2,6,3,4,1]=>[4,3,1,2,1,6]
[4,2,6,4,1,3]=>[4,2,3,1,3,6]
[4,2,6,4,3,1]=>[4,3,2,1,2,6]
[4,3,1,2,4,6]=>[6,2,1,3,1,4]
[4,3,1,2,6,4]=>[6,2,1,3,1,5]
[4,3,1,4,2,6]=>[6,2,1,4,1,3]
[4,3,1,4,6,2]=>[6,2,1,5,3,1]
[4,3,1,6,2,4]=>[6,2,1,4,5,1]
[4,3,1,6,4,2]=>[6,2,1,5,4,1]
[4,3,2,1,4,6]=>[6,3,1,2,1,4]
[4,3,2,1,6,4]=>[6,3,1,2,1,5]
[4,3,2,4,1,6]=>[6,4,1,2,1,3]
[4,3,2,4,6,1]=>[6,5,1,3,1,2]
[4,3,2,6,1,4]=>[6,4,1,5,2,1]
[4,3,2,6,4,1]=>[6,5,1,4,1,2]
[4,3,4,1,2,6]=>[6,3,1,4,1,2]
[4,3,4,1,6,2]=>[6,3,1,5,2,1]
[4,3,4,2,1,6]=>[6,4,1,3,1,2]
[4,3,4,2,6,1]=>[6,5,1,2,1,3]
[4,3,4,6,1,2]=>[6,4,1,2,1,5]
[4,3,4,6,2,1]=>[6,5,1,2,1,4]
[4,3,6,1,2,4]=>[6,3,1,5,4,1]
[4,3,6,1,4,2]=>[6,3,1,4,5,1]
[4,3,6,2,1,4]=>[6,4,1,5,3,1]
[4,3,6,2,4,1]=>[6,5,1,4,1,3]
[4,3,6,4,1,2]=>[6,4,1,3,1,5]
[4,3,6,4,2,1]=>[6,5,1,3,1,4]
[4,4,1,2,3,6]=>[6,2,4,3,4,1]
[4,4,1,2,6,3]=>[2,5,1,6,1,4]
[4,4,1,3,2,6]=>[6,2,3,4,3,1]
[4,4,1,3,6,2]=>[6,2,3,5,1,3]
[4,4,1,6,2,3]=>[3,6,2,1,5,2]
[4,4,1,6,3,2]=>[3,6,1,2,5,1]
[4,4,2,1,3,6]=>[6,3,4,2,4,1]
[4,4,2,1,6,3]=>[2,6,1,5,1,4]
[4,4,2,3,1,6]=>[6,4,3,2,3,1]
[4,4,2,3,6,1]=>[6,5,3,1,3,2]
[4,4,2,6,1,3]=>[3,1,2,5,2,6]
[4,4,2,6,3,1]=>[3,2,1,5,1,6]
[4,4,3,1,2,6]=>[6,3,2,4,2,1]
[4,4,3,1,6,2]=>[6,3,2,5,1,2]
[4,4,3,2,1,6]=>[6,4,2,3,2,1]
[4,4,3,2,6,1]=>[6,5,2,1,2,3]
[4,4,3,6,1,2]=>[6,4,2,1,2,5]
[4,4,3,6,2,1]=>[6,5,2,1,2,4]
[4,4,6,1,2,3]=>[4,1,3,6,3,2]
[4,4,6,1,3,2]=>[4,1,2,6,2,3]
[4,4,6,2,1,3]=>[4,2,3,6,3,1]
[4,4,6,2,3,1]=>[4,3,2,6,2,1]
[4,4,6,3,1,2]=>[4,2,1,6,1,3]
[4,4,6,3,2,1]=>[4,3,1,6,1,2]
[4,6,1,2,3,4]=>[5,1,3,4,2,3]
[4,6,1,2,4,3]=>[5,1,4,3,2,4]
[4,6,1,3,2,4]=>[5,1,2,4,3,2]
[4,6,1,3,4,2]=>[5,1,2,3,4,2]
[4,6,1,4,2,3]=>[5,1,4,2,3,4]
[4,6,1,4,3,2]=>[5,1,3,2,4,3]
[4,6,2,1,3,4]=>[5,2,3,4,1,3]
[4,6,2,1,4,3]=>[5,2,4,3,1,4]
[4,6,2,3,1,4]=>[5,3,2,4,1,2]
[4,6,2,3,4,1]=>[5,4,2,3,2,1]
[4,6,2,4,1,3]=>[5,3,4,2,4,1]
[4,6,2,4,3,1]=>[5,4,3,2,3,1]
[4,6,3,1,2,4]=>[5,2,1,4,3,1]
[4,6,3,1,4,2]=>[5,2,1,3,4,1]
[4,6,3,2,1,4]=>[5,3,1,4,2,1]
[4,6,3,2,4,1]=>[5,4,1,3,1,2]
[4,6,3,4,1,2]=>[5,3,1,2,1,4]
[4,6,3,4,2,1]=>[5,4,1,2,1,3]
[4,6,4,1,2,3]=>[5,2,4,1,4,3]
[4,6,4,1,3,2]=>[5,2,3,1,3,4]
[4,6,4,2,1,3]=>[5,3,4,1,4,2]
[4,6,4,2,3,1]=>[5,4,3,1,3,2]
[4,6,4,3,1,2]=>[5,3,2,1,2,4]
[4,6,4,3,2,1]=>[5,4,2,1,2,3]
[6,1,2,3,4,4]=>[6,1,5,2,3,3]
[6,1,2,4,3,4]=>[3,5,2,6,1,1]
[6,1,2,4,4,3]=>[3,5,1,6,2,2]
[6,1,3,2,4,4]=>[6,1,5,3,2,2]
[6,1,3,4,2,4]=>[6,1,5,4,2,2]
[6,1,3,4,4,2]=>[6,1,4,5,2,2]
[6,1,4,2,3,4]=>[4,6,3,1,2,2]
[6,1,4,2,4,3]=>[4,6,2,1,3,3]
[6,1,4,3,2,4]=>[4,6,3,2,1,1]
[6,1,4,3,4,2]=>[4,6,2,3,1,1]
[6,1,4,4,2,3]=>[4,6,1,2,3,3]
[6,1,4,4,3,2]=>[4,6,1,3,2,2]
[6,2,1,3,4,4]=>[6,2,5,1,3,3]
[6,2,1,4,3,4]=>[3,6,2,5,1,1]
[6,2,1,4,4,3]=>[3,6,1,5,2,2]
[6,2,3,1,4,4]=>[6,3,5,1,2,2]
[6,2,3,4,1,4]=>[6,4,5,2,1,2]
[6,2,3,4,4,1]=>[6,5,4,2,2,1]
[6,2,4,1,3,4]=>[4,1,3,2,6,2]
[6,2,4,1,4,3]=>[4,1,2,3,6,3]
[6,2,4,3,1,4]=>[4,2,3,1,6,1]
[6,2,4,3,4,1]=>[4,3,2,1,1,6]
[6,2,4,4,1,3]=>[4,2,1,3,3,6]
[6,2,4,4,3,1]=>[4,3,1,2,2,6]
[6,3,1,2,4,4]=>[6,2,5,3,1,1]
[6,3,1,4,2,4]=>[6,2,5,4,1,1]
[6,3,1,4,4,2]=>[6,2,4,5,1,1]
[6,3,2,1,4,4]=>[6,3,5,2,1,1]
[6,3,2,4,1,4]=>[6,4,5,1,2,1]
[6,3,2,4,4,1]=>[6,5,4,1,1,2]
[6,3,4,1,2,4]=>[6,3,5,1,4,1]
[6,3,4,1,4,2]=>[6,3,4,1,5,1]
[6,3,4,2,1,4]=>[6,4,5,1,3,1]
[6,3,4,2,4,1]=>[6,5,4,1,1,3]
[6,3,4,4,1,2]=>[6,4,3,1,1,5]
[6,3,4,4,2,1]=>[6,5,3,1,1,4]
[6,4,1,2,3,4]=>[5,1,4,3,2,3]
[6,4,1,2,4,3]=>[5,1,3,4,2,4]
[6,4,1,3,2,4]=>[5,1,4,2,3,2]
[6,4,1,3,4,2]=>[5,1,3,2,4,2]
[6,4,1,4,2,3]=>[5,1,2,4,3,4]
[6,4,1,4,3,2]=>[5,1,2,3,4,3]
[6,4,2,1,3,4]=>[5,2,4,3,1,3]
[6,4,2,1,4,3]=>[5,2,3,4,1,4]
[6,4,2,3,1,4]=>[5,3,4,2,1,2]
[6,4,2,3,4,1]=>[5,4,3,2,2,1]
[6,4,2,4,1,3]=>[5,3,2,4,4,1]
[6,4,2,4,3,1]=>[5,4,2,3,3,1]
[6,4,3,1,2,4]=>[5,2,4,1,3,1]
[6,4,3,1,4,2]=>[5,2,3,1,4,1]
[6,4,3,2,1,4]=>[5,3,4,1,2,1]
[6,4,3,2,4,1]=>[5,4,3,1,1,2]
[6,4,3,4,1,2]=>[5,3,2,1,1,4]
[6,4,3,4,2,1]=>[5,4,2,1,1,3]
[6,4,4,1,2,3]=>[5,2,1,4,4,3]
[6,4,4,1,3,2]=>[5,2,1,3,3,4]
[6,4,4,2,1,3]=>[5,3,1,4,4,2]
[6,4,4,2,3,1]=>[5,4,1,3,3,2]
[6,4,4,3,1,2]=>[5,3,1,2,2,4]
[6,4,4,3,2,1]=>[5,4,1,2,2,3]
[1,2,3,4,5,5]=>[1,2,3,4,5,5]
[1,2,3,5,4,5]=>[3,4,5,6,1,1]
[1,2,3,5,5,4]=>[2,3,4,5,1,1]
[1,2,4,3,5,5]=>[1,2,3,5,4,4]
[1,2,4,5,3,5]=>[1,2,3,6,4,4]
[1,2,4,5,5,3]=>[2,3,4,1,5,5]
[1,2,5,3,4,5]=>[4,5,6,1,2,2]
[1,2,5,3,5,4]=>[2,3,4,6,1,1]
[1,2,5,4,3,5]=>[4,5,6,2,1,1]
[1,2,5,4,5,3]=>[4,5,6,3,1,1]
[1,2,5,5,3,4]=>[3,4,5,1,2,2]
[1,2,5,5,4,3]=>[3,4,5,2,1,1]
[1,3,2,4,5,5]=>[1,2,4,3,5,5]
[1,3,2,5,4,5]=>[3,4,6,5,1,1]
[1,3,2,5,5,4]=>[2,3,5,4,1,1]
[1,3,4,2,5,5]=>[1,2,5,3,4,4]
[1,3,4,5,2,5]=>[1,2,6,4,3,4]
[1,3,4,5,5,2]=>[2,3,1,5,5,4]
[1,3,5,2,4,5]=>[4,5,1,2,6,2]
[1,3,5,2,5,4]=>[2,3,6,1,4,1]
[1,3,5,4,2,5]=>[4,5,2,1,6,1]
[1,3,5,4,5,2]=>[4,5,3,1,1,6]
[1,3,5,5,2,4]=>[3,4,1,2,2,5]
[1,3,5,5,4,2]=>[3,4,2,1,1,5]
[1,4,2,3,5,5]=>[1,2,4,5,3,3]
[1,4,2,5,3,5]=>[1,2,4,6,3,3]
[1,4,2,5,5,3]=>[2,3,5,1,4,4]
[1,4,3,2,5,5]=>[1,2,5,4,3,3]
[1,4,3,5,2,5]=>[1,2,6,3,4,3]
[1,4,3,5,5,2]=>[2,3,1,4,4,5]
[1,4,5,2,3,5]=>[1,2,5,3,6,3]
[1,4,5,2,5,3]=>[2,3,6,4,1,4]
[1,4,5,3,2,5]=>[1,2,6,3,5,3]
[1,4,5,3,5,2]=>[2,3,1,4,4,6]
[1,4,5,5,2,3]=>[3,4,1,5,5,2]
[1,4,5,5,3,2]=>[3,4,2,5,5,1]
[1,5,2,3,4,5]=>[5,6,1,3,2,3]
[1,5,2,3,5,4]=>[2,3,5,1,6,1]
[1,5,2,4,3,5]=>[5,6,1,2,3,2]
[1,5,2,4,5,3]=>[5,6,1,2,4,2]
[1,5,2,5,3,4]=>[3,4,6,2,1,2]
[1,5,2,5,4,3]=>[3,4,6,1,2,1]
[1,5,3,2,4,5]=>[5,6,2,3,1,3]
[1,5,3,2,5,4]=>[2,3,6,1,5,1]
[1,5,3,4,2,5]=>[5,6,3,2,1,2]
[1,5,3,4,5,2]=>[5,6,4,2,2,1]
[1,5,3,5,2,4]=>[3,4,1,2,2,6]
[1,5,3,5,4,2]=>[3,4,2,1,1,6]
[1,5,4,2,3,5]=>[5,6,2,1,3,1]
[1,5,4,2,5,3]=>[5,6,2,1,4,1]
[1,5,4,3,2,5]=>[5,6,3,1,2,1]
[1,5,4,3,5,2]=>[5,6,4,1,1,2]
[1,5,4,5,2,3]=>[5,6,3,1,1,4]
[1,5,4,5,3,2]=>[5,6,4,1,1,3]
[1,5,5,2,3,4]=>[4,5,1,3,3,2]
[1,5,5,2,4,3]=>[4,5,1,2,2,3]
[1,5,5,3,2,4]=>[4,5,2,3,3,1]
[1,5,5,3,4,2]=>[4,5,3,2,2,1]
[1,5,5,4,2,3]=>[4,5,2,1,1,3]
[1,5,5,4,3,2]=>[4,5,3,1,1,2]
[2,1,3,4,5,5]=>[1,3,2,4,5,5]
[2,1,3,5,4,5]=>[3,5,4,6,1,1]
[2,1,3,5,5,4]=>[2,4,3,5,1,1]
[2,1,4,3,5,5]=>[1,3,2,5,4,4]
[2,1,4,5,3,5]=>[1,3,2,6,4,4]
[2,1,4,5,5,3]=>[2,4,3,1,5,5]
[2,1,5,3,4,5]=>[4,6,5,1,2,2]
[2,1,5,3,5,4]=>[2,4,3,6,1,1]
[2,1,5,4,3,5]=>[4,6,5,2,1,1]
[2,1,5,4,5,3]=>[4,6,5,3,1,1]
[2,1,5,5,3,4]=>[3,5,4,1,2,2]
[2,1,5,5,4,3]=>[3,5,4,2,1,1]
[2,3,1,4,5,5]=>[1,4,2,3,5,5]
[2,3,1,5,4,5]=>[3,6,4,5,1,1]
[2,3,1,5,5,4]=>[2,5,3,4,1,1]
[2,3,4,1,5,5]=>[1,5,2,3,4,4]
[2,3,4,5,1,5]=>[1,6,4,2,3,4]
[2,3,4,5,5,1]=>[2,1,5,5,4,3]
[2,3,5,1,4,5]=>[4,1,2,5,6,2]
[2,3,5,1,5,4]=>[2,6,1,3,4,1]
[2,3,5,4,1,5]=>[4,2,1,5,6,1]
[2,3,5,4,5,1]=>[4,3,1,1,6,5]
[2,3,5,5,1,4]=>[3,1,2,2,4,5]
[2,3,5,5,4,1]=>[3,2,1,1,5,4]
[2,4,1,3,5,5]=>[1,4,2,5,3,3]
[2,4,1,5,3,5]=>[1,4,2,6,3,3]
[2,4,1,5,5,3]=>[2,5,3,1,4,4]
[2,4,3,1,5,5]=>[1,5,2,4,3,3]
[2,4,3,5,1,5]=>[1,6,3,2,4,3]
[2,4,3,5,5,1]=>[2,1,4,4,5,3]
[2,4,5,1,3,5]=>[1,5,3,2,6,3]
[2,4,5,1,5,3]=>[2,6,4,3,1,4]
[2,4,5,3,1,5]=>[1,6,3,2,5,3]
[2,4,5,3,5,1]=>[2,1,4,4,6,3]
[2,4,5,5,1,3]=>[3,1,5,5,2,4]
[2,4,5,5,3,1]=>[3,2,5,5,1,4]
[2,5,1,3,4,5]=>[5,1,3,6,2,3]
[2,5,1,3,5,4]=>[2,5,1,3,6,1]
[2,5,1,4,3,5]=>[5,1,2,6,3,2]
[2,5,1,4,5,3]=>[5,1,2,6,4,2]
[2,5,1,5,3,4]=>[3,6,2,4,1,2]
[2,5,1,5,4,3]=>[3,6,1,4,2,1]
[2,5,3,1,4,5]=>[5,2,3,6,1,3]
[2,5,3,1,5,4]=>[2,6,1,3,5,1]
[2,5,3,4,1,5]=>[5,3,2,6,1,2]
[2,5,3,4,5,1]=>[5,4,2,2,1,6]
[2,5,3,5,1,4]=>[3,1,2,2,4,6]
[2,5,3,5,4,1]=>[3,2,1,1,6,4]
[2,5,4,1,3,5]=>[5,2,1,6,3,1]
[2,5,4,1,5,3]=>[5,2,1,6,4,1]
[2,5,4,3,1,5]=>[5,3,1,6,2,1]
[2,5,4,3,5,1]=>[5,4,1,1,2,6]
[2,5,4,5,1,3]=>[5,3,1,1,4,6]
[2,5,4,5,3,1]=>[5,4,1,1,3,6]
[2,5,5,1,3,4]=>[4,1,3,3,5,2]
[2,5,5,1,4,3]=>[4,1,2,2,5,3]
[2,5,5,3,1,4]=>[4,2,3,3,5,1]
[2,5,5,3,4,1]=>[4,3,2,2,1,5]
[2,5,5,4,1,3]=>[4,2,1,1,3,5]
[2,5,5,4,3,1]=>[4,3,1,1,2,5]
[3,1,2,4,5,5]=>[1,3,4,2,5,5]
[3,1,2,5,4,5]=>[3,5,6,4,1,1]
[3,1,2,5,5,4]=>[2,4,5,3,1,1]
[3,1,4,2,5,5]=>[1,3,5,2,4,4]
[3,1,4,5,2,5]=>[1,3,6,4,2,4]
[3,1,4,5,5,2]=>[2,4,1,5,5,3]
[3,1,5,2,4,5]=>[4,6,1,2,5,2]
[3,1,5,2,5,4]=>[2,4,6,1,3,1]
[3,1,5,4,2,5]=>[4,6,2,1,5,1]
[3,1,5,4,5,2]=>[4,6,3,1,1,5]
[3,1,5,5,2,4]=>[3,5,1,2,2,4]
[3,1,5,5,4,2]=>[3,5,2,1,1,4]
[3,2,1,4,5,5]=>[1,4,3,2,5,5]
[3,2,1,5,4,5]=>[3,6,5,4,1,1]
[3,2,1,5,5,4]=>[2,5,4,3,1,1]
[3,2,4,1,5,5]=>[1,5,3,2,4,4]
[3,2,4,5,1,5]=>[1,6,4,3,2,4]
[3,2,4,5,5,1]=>[2,1,5,5,3,4]
[3,2,5,1,4,5]=>[4,1,2,6,5,2]
[3,2,5,1,5,4]=>[2,6,1,4,3,1]
[3,2,5,4,1,5]=>[4,2,1,6,5,1]
[3,2,5,4,5,1]=>[4,3,1,1,5,6]
[3,2,5,5,1,4]=>[3,1,2,2,5,4]
[3,2,5,5,4,1]=>[3,2,1,1,4,5]
[3,4,1,2,5,5]=>[1,4,5,2,3,3]
[3,4,1,5,2,5]=>[1,4,6,3,2,3]
[3,4,1,5,5,2]=>[2,5,1,4,4,3]
[3,4,2,1,5,5]=>[1,5,4,2,3,3]
[3,4,2,5,1,5]=>[1,6,3,4,2,3]
[3,4,2,5,5,1]=>[2,1,4,4,3,5]
[3,4,5,1,2,5]=>[1,5,3,6,2,3]
[3,4,5,1,5,2]=>[2,6,4,1,4,3]
[3,4,5,2,1,5]=>[1,6,3,5,2,3]
[3,4,5,2,5,1]=>[2,1,4,4,3,6]
[3,4,5,5,1,2]=>[3,1,5,5,4,2]
[3,4,5,5,2,1]=>[3,2,5,5,4,1]
[3,5,1,2,4,5]=>[5,1,3,2,6,3]
[3,5,1,2,5,4]=>[2,5,1,6,3,1]
[3,5,1,4,2,5]=>[5,1,2,3,6,2]
[3,5,1,4,5,2]=>[5,1,2,4,2,6]
[3,5,1,5,2,4]=>[3,6,2,1,2,4]
[3,5,1,5,4,2]=>[3,6,1,2,1,4]
[3,5,2,1,4,5]=>[5,2,3,1,6,3]
[3,5,2,1,5,4]=>[2,6,1,5,3,1]
[3,5,2,4,1,5]=>[5,3,2,1,6,2]
[3,5,2,4,5,1]=>[5,4,2,2,6,1]
[3,5,2,5,1,4]=>[3,1,2,2,6,4]
[3,5,2,5,4,1]=>[3,2,1,1,4,6]
[3,5,4,1,2,5]=>[5,2,1,3,6,1]
[3,5,4,1,5,2]=>[5,2,1,4,1,6]
[3,5,4,2,1,5]=>[5,3,1,2,6,1]
[3,5,4,2,5,1]=>[5,4,1,1,6,2]
[3,5,4,5,1,2]=>[5,3,1,1,6,4]
[3,5,4,5,2,1]=>[5,4,1,1,6,3]
[3,5,5,1,2,4]=>[4,1,3,3,2,5]
[3,5,5,1,4,2]=>[4,1,2,2,3,5]
[3,5,5,2,1,4]=>[4,2,3,3,1,5]
[3,5,5,2,4,1]=>[4,3,2,2,5,1]
[3,5,5,4,1,2]=>[4,2,1,1,5,3]
[3,5,5,4,2,1]=>[4,3,1,1,5,2]
[4,1,2,3,5,5]=>[1,3,4,5,2,2]
[4,1,2,5,3,5]=>[1,3,4,6,2,2]
[4,1,2,5,5,3]=>[2,4,5,1,3,3]
[4,1,3,2,5,5]=>[1,3,5,4,2,2]
[4,1,3,5,2,5]=>[1,3,6,2,4,2]
[4,1,3,5,5,2]=>[2,4,1,3,3,5]
[4,1,5,2,3,5]=>[1,3,5,2,6,2]
[4,1,5,2,5,3]=>[2,4,6,3,1,3]
[4,1,5,3,2,5]=>[1,3,6,2,5,2]
[4,1,5,3,5,2]=>[2,4,1,3,3,6]
[4,1,5,5,2,3]=>[3,5,1,4,4,2]
[4,1,5,5,3,2]=>[3,5,2,4,4,1]
[4,2,1,3,5,5]=>[1,4,3,5,2,2]
[4,2,1,5,3,5]=>[1,4,3,6,2,2]
[4,2,1,5,5,3]=>[2,5,4,1,3,3]
[4,2,3,1,5,5]=>[1,5,3,4,2,2]
[4,2,3,5,1,5]=>[1,6,2,3,4,2]
[4,2,3,5,5,1]=>[2,1,3,3,5,4]
[4,2,5,1,3,5]=>[1,5,2,3,6,2]
[4,2,5,1,5,3]=>[2,6,3,4,1,3]
[4,2,5,3,1,5]=>[1,6,2,3,5,2]
[4,2,5,3,5,1]=>[2,1,3,3,6,4]
[4,2,5,5,1,3]=>[3,1,4,4,2,5]
[4,2,5,5,3,1]=>[3,2,4,4,1,5]
[4,3,1,2,5,5]=>[1,4,5,3,2,2]
[4,3,1,5,2,5]=>[1,4,6,2,3,2]
[4,3,1,5,5,2]=>[2,5,1,3,3,4]
[4,3,2,1,5,5]=>[1,5,4,3,2,2]
[4,3,2,5,1,5]=>[1,6,2,4,3,2]
[4,3,2,5,5,1]=>[2,1,3,3,4,5]
[4,3,5,1,2,5]=>[1,5,2,6,3,2]
[4,3,5,1,5,2]=>[2,6,3,1,3,4]
[4,3,5,2,1,5]=>[1,6,2,5,3,2]
[4,3,5,2,5,1]=>[2,1,3,3,4,6]
[4,3,5,5,1,2]=>[3,1,4,4,5,2]
[4,3,5,5,2,1]=>[3,2,4,4,5,1]
[4,5,1,2,3,5]=>[1,4,2,5,6,2]
[4,5,1,2,5,3]=>[2,5,3,6,1,3]
[4,5,1,3,2,5]=>[1,4,2,6,5,2]
[4,5,1,3,5,2]=>[2,5,3,1,3,6]
[4,5,1,5,2,3]=>[3,6,4,1,4,2]
[4,5,1,5,3,2]=>[3,6,4,2,4,1]
[4,5,2,1,3,5]=>[1,5,2,4,6,2]
[4,5,2,1,5,3]=>[2,6,3,5,1,3]
[4,5,2,3,1,5]=>[1,6,2,4,5,2]
[4,5,2,3,5,1]=>[2,1,3,3,6,5]
[4,5,2,5,1,3]=>[3,1,4,4,2,6]
[4,5,2,5,3,1]=>[3,2,4,4,1,6]
[4,5,3,1,2,5]=>[1,5,2,6,4,2]
[4,5,3,1,5,2]=>[2,6,3,1,3,5]
[4,5,3,2,1,5]=>[1,6,2,5,4,2]
[4,5,3,2,5,1]=>[2,1,3,3,5,6]
[4,5,3,5,1,2]=>[3,1,4,4,6,2]
[4,5,3,5,2,1]=>[3,2,4,4,6,1]
[4,5,5,1,2,3]=>[4,1,5,5,3,2]
[4,5,5,1,3,2]=>[4,1,5,5,2,3]
[4,5,5,2,1,3]=>[4,2,5,5,3,1]
[4,5,5,2,3,1]=>[4,3,5,5,2,1]
[4,5,5,3,1,2]=>[4,2,5,5,1,3]
[4,5,5,3,2,1]=>[4,3,5,5,1,2]
[5,1,2,3,4,5]=>[6,1,4,2,3,4]
[5,1,2,3,5,4]=>[2,4,1,5,6,1]
[5,1,2,4,3,5]=>[6,1,3,2,4,3]
[5,1,2,4,5,3]=>[6,1,3,2,5,3]
[5,1,2,5,3,4]=>[3,5,2,6,1,2]
[5,1,2,5,4,3]=>[3,5,1,6,2,1]
[5,1,3,2,4,5]=>[6,1,4,3,2,4]
[5,1,3,2,5,4]=>[2,4,1,6,5,1]
[5,1,3,4,2,5]=>[6,1,3,4,2,3]
[5,1,3,4,5,2]=>[6,1,3,5,3,2]
[5,1,3,5,2,4]=>[3,5,2,1,2,6]
[5,1,3,5,4,2]=>[3,5,1,2,1,6]
[5,1,4,2,3,5]=>[6,1,2,3,4,2]
[5,1,4,2,5,3]=>[6,1,2,3,5,2]
[5,1,4,3,2,5]=>[6,1,2,4,3,2]
[5,1,4,3,5,2]=>[6,1,2,5,2,3]
[5,1,4,5,2,3]=>[6,1,2,4,2,5]
[5,1,4,5,3,2]=>[6,1,2,5,2,4]
[5,1,5,2,3,4]=>[4,6,3,1,3,2]
[5,1,5,2,4,3]=>[4,6,2,1,2,3]
[5,1,5,3,2,4]=>[4,6,3,2,3,1]
[5,1,5,3,4,2]=>[4,6,2,3,2,1]
[5,1,5,4,2,3]=>[4,6,1,2,1,3]
[5,1,5,4,3,2]=>[4,6,1,3,1,2]
[5,2,1,3,4,5]=>[6,2,4,1,3,4]
[5,2,1,3,5,4]=>[2,5,1,4,6,1]
[5,2,1,4,3,5]=>[6,2,3,1,4,3]
[5,2,1,4,5,3]=>[6,2,3,1,5,3]
[5,2,1,5,3,4]=>[3,6,2,5,1,2]
[5,2,1,5,4,3]=>[3,6,1,5,2,1]
[5,2,3,1,4,5]=>[6,3,4,1,2,4]
[5,2,3,1,5,4]=>[2,6,1,4,5,1]
[5,2,3,4,1,5]=>[6,4,3,1,2,3]
[5,2,3,4,5,1]=>[6,5,3,3,2,1]
[5,2,3,5,1,4]=>[3,1,2,2,5,6]
[5,2,3,5,4,1]=>[3,2,1,1,6,5]
[5,2,4,1,3,5]=>[6,3,2,1,4,2]
[5,2,4,1,5,3]=>[6,3,2,1,5,2]
[5,2,4,3,1,5]=>[6,4,2,1,3,2]
[5,2,4,3,5,1]=>[6,5,2,2,3,1]
[5,2,4,5,1,3]=>[6,4,2,2,5,1]
[5,2,4,5,3,1]=>[6,5,2,2,4,1]
[5,2,5,1,3,4]=>[4,1,3,3,6,2]
[5,2,5,1,4,3]=>[4,1,2,2,6,3]
[5,2,5,3,1,4]=>[4,2,3,3,6,1]
[5,2,5,3,4,1]=>[4,3,2,2,1,6]
[5,2,5,4,1,3]=>[4,2,1,1,3,6]
[5,2,5,4,3,1]=>[4,3,1,1,2,6]
[5,3,1,2,4,5]=>[6,2,4,3,1,4]
[5,3,1,2,5,4]=>[2,5,1,6,4,1]
[5,3,1,4,2,5]=>[6,2,3,4,1,3]
[5,3,1,4,5,2]=>[6,2,3,5,3,1]
[5,3,1,5,2,4]=>[3,6,2,1,2,5]
[5,3,1,5,4,2]=>[3,6,1,2,1,5]
[5,3,2,1,4,5]=>[6,3,4,2,1,4]
[5,3,2,1,5,4]=>[2,6,1,5,4,1]
[5,3,2,4,1,5]=>[6,4,3,2,1,3]
[5,3,2,4,5,1]=>[6,5,3,3,1,2]
[5,3,2,5,1,4]=>[3,1,2,2,6,5]
[5,3,2,5,4,1]=>[3,2,1,1,5,6]
[5,3,4,1,2,5]=>[6,3,2,4,1,2]
[5,3,4,1,5,2]=>[6,3,2,5,2,1]
[5,3,4,2,1,5]=>[6,4,2,3,1,2]
[5,3,4,2,5,1]=>[6,5,2,2,1,3]
[5,3,4,5,1,2]=>[6,4,2,2,1,5]
[5,3,4,5,2,1]=>[6,5,2,2,1,4]
[5,3,5,1,2,4]=>[4,1,3,3,2,6]
[5,3,5,1,4,2]=>[4,1,2,2,3,6]
[5,3,5,2,1,4]=>[4,2,3,3,1,6]
[5,3,5,2,4,1]=>[4,3,2,2,6,1]
[5,3,5,4,1,2]=>[4,2,1,1,6,3]
[5,3,5,4,2,1]=>[4,3,1,1,6,2]
[5,4,1,2,3,5]=>[6,2,1,3,4,1]
[5,4,1,2,5,3]=>[6,2,1,3,5,1]
[5,4,1,3,2,5]=>[6,2,1,4,3,1]
[5,4,1,3,5,2]=>[6,2,1,5,1,3]
[5,4,1,5,2,3]=>[6,2,1,4,1,5]
[5,4,1,5,3,2]=>[6,2,1,5,1,4]
[5,4,2,1,3,5]=>[6,3,1,2,4,1]
[5,4,2,1,5,3]=>[6,3,1,2,5,1]
[5,4,2,3,1,5]=>[6,4,1,2,3,1]
[5,4,2,3,5,1]=>[6,5,1,1,3,2]
[5,4,2,5,1,3]=>[6,4,1,1,5,2]
[5,4,2,5,3,1]=>[6,5,1,1,4,2]
[5,4,3,1,2,5]=>[6,3,1,4,2,1]
[5,4,3,1,5,2]=>[6,3,1,5,1,2]
[5,4,3,2,1,5]=>[6,4,1,3,2,1]
[5,4,3,2,5,1]=>[6,5,1,1,2,3]
[5,4,3,5,1,2]=>[6,4,1,1,2,5]
[5,4,3,5,2,1]=>[6,5,1,1,2,4]
[5,4,5,1,2,3]=>[6,3,1,1,5,4]
[5,4,5,1,3,2]=>[6,3,1,1,4,5]
[5,4,5,2,1,3]=>[6,4,1,1,5,3]
[5,4,5,2,3,1]=>[6,5,1,1,4,3]
[5,4,5,3,1,2]=>[6,4,1,1,3,5]
[5,4,5,3,2,1]=>[6,5,1,1,3,4]
[5,5,1,2,3,4]=>[5,1,4,4,2,3]
[5,5,1,2,4,3]=>[5,1,3,3,2,4]
[5,5,1,3,2,4]=>[5,1,4,4,3,2]
[5,5,1,3,4,2]=>[5,1,3,3,4,2]
[5,5,1,4,2,3]=>[5,1,2,2,3,4]
[5,5,1,4,3,2]=>[5,1,2,2,4,3]
[5,5,2,1,3,4]=>[5,2,4,4,1,3]
[5,5,2,1,4,3]=>[5,2,3,3,1,4]
[5,5,2,3,1,4]=>[5,3,4,4,1,2]
[5,5,2,3,4,1]=>[5,4,3,3,2,1]
[5,5,2,4,1,3]=>[5,3,2,2,4,1]
[5,5,2,4,3,1]=>[5,4,2,2,3,1]
[5,5,3,1,2,4]=>[5,2,4,4,3,1]
[5,5,3,1,4,2]=>[5,2,3,3,4,1]
[5,5,3,2,1,4]=>[5,3,4,4,2,1]
[5,5,3,2,4,1]=>[5,4,3,3,1,2]
[5,5,3,4,1,2]=>[5,3,2,2,1,4]
[5,5,3,4,2,1]=>[5,4,2,2,1,3]
[5,5,4,1,2,3]=>[5,2,1,1,4,3]
[5,5,4,1,3,2]=>[5,2,1,1,3,4]
[5,5,4,2,1,3]=>[5,3,1,1,4,2]
[5,5,4,2,3,1]=>[5,4,1,1,3,2]
[5,5,4,3,1,2]=>[5,3,1,1,2,4]
[5,5,4,3,2,1]=>[5,4,1,1,2,3]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[2,3,4,5,6,1]
[1,2,3,5,4,6]=>[1,2,3,4,6,5]
[1,2,3,5,6,4]=>[2,3,4,5,1,6]
[1,2,3,6,4,5]=>[3,4,5,6,1,2]
[1,2,3,6,5,4]=>[3,4,5,6,2,1]
[1,2,4,3,5,6]=>[1,2,3,5,4,6]
[1,2,4,3,6,5]=>[2,3,4,6,5,1]
[1,2,4,5,3,6]=>[1,2,3,6,4,5]
[1,2,4,5,6,3]=>[2,3,4,1,6,5]
[1,2,4,6,3,5]=>[3,4,5,1,2,6]
[1,2,4,6,5,3]=>[3,4,5,2,1,6]
[1,2,5,3,4,6]=>[1,2,3,5,6,4]
[1,2,5,3,6,4]=>[2,3,4,6,1,5]
[1,2,5,4,3,6]=>[1,2,3,6,5,4]
[1,2,5,4,6,3]=>[2,3,4,1,5,6]
[1,2,5,6,3,4]=>[3,4,5,1,6,2]
[1,2,5,6,4,3]=>[3,4,5,2,6,1]
[1,2,6,3,4,5]=>[4,5,6,1,3,2]
[1,2,6,3,5,4]=>[4,5,6,1,2,3]
[1,2,6,4,3,5]=>[4,5,6,2,3,1]
[1,2,6,4,5,3]=>[4,5,6,3,2,1]
[1,2,6,5,3,4]=>[4,5,6,2,1,3]
[1,2,6,5,4,3]=>[4,5,6,3,1,2]
[1,3,2,4,5,6]=>[1,2,4,3,5,6]
[1,3,2,4,6,5]=>[2,3,5,4,6,1]
[1,3,2,5,4,6]=>[1,2,4,3,6,5]
[1,3,2,5,6,4]=>[2,3,5,4,1,6]
[1,3,2,6,4,5]=>[3,4,6,5,1,2]
[1,3,2,6,5,4]=>[3,4,6,5,2,1]
[1,3,4,2,5,6]=>[1,2,5,3,4,6]
[1,3,4,2,6,5]=>[2,3,6,4,5,1]
[1,3,4,5,2,6]=>[1,2,6,3,4,5]
[1,3,4,5,6,2]=>[2,3,1,6,5,4]
[1,3,4,6,2,5]=>[3,4,1,2,5,6]
[1,3,4,6,5,2]=>[3,4,2,1,6,5]
[1,3,5,2,4,6]=>[1,2,5,3,6,4]
[1,3,5,2,6,4]=>[2,3,6,4,1,5]
[1,3,5,4,2,6]=>[1,2,6,3,5,4]
[1,3,5,4,6,2]=>[2,3,1,5,6,4]
[1,3,5,6,2,4]=>[3,4,1,6,2,5]
[1,3,5,6,4,2]=>[3,4,2,6,1,5]
[1,3,6,2,4,5]=>[4,5,1,3,6,2]
[1,3,6,2,5,4]=>[4,5,1,2,6,3]
[1,3,6,4,2,5]=>[4,5,2,3,6,1]
[1,3,6,4,5,2]=>[4,5,3,2,1,6]
[1,3,6,5,2,4]=>[4,5,2,1,3,6]
[1,3,6,5,4,2]=>[4,5,3,1,2,6]
[1,4,2,3,5,6]=>[1,2,4,5,3,6]
[1,4,2,3,6,5]=>[2,3,5,6,4,1]
[1,4,2,5,3,6]=>[1,2,4,6,3,5]
[1,4,2,5,6,3]=>[2,3,5,1,6,4]
[1,4,2,6,3,5]=>[3,4,6,1,2,5]
[1,4,2,6,5,3]=>[3,4,6,2,1,5]
[1,4,3,2,5,6]=>[1,2,5,4,3,6]
[1,4,3,2,6,5]=>[2,3,6,5,4,1]
[1,4,3,5,2,6]=>[1,2,6,4,3,5]
[1,4,3,5,6,2]=>[2,3,1,6,4,5]
[1,4,3,6,2,5]=>[3,4,1,2,6,5]
[1,4,3,6,5,2]=>[3,4,2,1,5,6]
[1,4,5,2,3,6]=>[1,2,5,6,3,4]
[1,4,5,2,6,3]=>[2,3,6,1,5,4]
[1,4,5,3,2,6]=>[1,2,6,5,3,4]
[1,4,5,3,6,2]=>[2,3,1,5,4,6]
[1,4,5,6,2,3]=>[3,4,1,6,5,2]
[1,4,5,6,3,2]=>[3,4,2,6,5,1]
[1,4,6,2,3,5]=>[4,5,1,3,2,6]
[1,4,6,2,5,3]=>[4,5,1,2,3,6]
[1,4,6,3,2,5]=>[4,5,2,3,1,6]
[1,4,6,3,5,2]=>[4,5,3,2,6,1]
[1,4,6,5,2,3]=>[4,5,2,1,6,3]
[1,4,6,5,3,2]=>[4,5,3,1,6,2]
[1,5,2,3,4,6]=>[1,2,4,5,6,3]
[1,5,2,3,6,4]=>[2,3,5,6,1,4]
[1,5,2,4,3,6]=>[1,2,4,6,5,3]
[1,5,2,4,6,3]=>[2,3,5,1,4,6]
[1,5,2,6,3,4]=>[3,4,6,1,5,2]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]
[1,5,3,2,4,6]=>[1,2,5,4,6,3]
[1,5,3,2,6,4]=>[2,3,6,5,1,4]
[1,5,3,4,2,6]=>[1,2,6,4,5,3]
[1,5,3,4,6,2]=>[2,3,1,4,6,5]
[1,5,3,6,2,4]=>[3,4,1,5,2,6]
[1,5,3,6,4,2]=>[3,4,2,5,1,6]
[1,5,4,2,3,6]=>[1,2,5,6,4,3]
[1,5,4,2,6,3]=>[2,3,6,1,4,5]
[1,5,4,3,2,6]=>[1,2,6,5,4,3]
[1,5,4,3,6,2]=>[2,3,1,4,5,6]
[1,5,4,6,2,3]=>[3,4,1,5,6,2]
[1,5,4,6,3,2]=>[3,4,2,5,6,1]
[1,5,6,2,3,4]=>[4,5,1,6,3,2]
[1,5,6,2,4,3]=>[4,5,1,6,2,3]
[1,5,6,3,2,4]=>[4,5,2,6,3,1]
[1,5,6,3,4,2]=>[4,5,3,6,2,1]
[1,5,6,4,2,3]=>[4,5,2,6,1,3]
[1,5,6,4,3,2]=>[4,5,3,6,1,2]
[1,6,2,3,4,5]=>[5,6,1,4,2,3]
[1,6,2,3,5,4]=>[5,6,1,3,2,4]
[1,6,2,4,3,5]=>[5,6,1,4,3,2]
[1,6,2,4,5,3]=>[5,6,1,3,4,2]
[1,6,2,5,3,4]=>[5,6,1,2,3,4]
[1,6,2,5,4,3]=>[5,6,1,2,4,3]
[1,6,3,2,4,5]=>[5,6,2,4,1,3]
[1,6,3,2,5,4]=>[5,6,2,3,1,4]
[1,6,3,4,2,5]=>[5,6,3,4,1,2]
[1,6,3,4,5,2]=>[5,6,4,3,2,1]
[1,6,3,5,2,4]=>[5,6,3,2,4,1]
[1,6,3,5,4,2]=>[5,6,4,2,3,1]
[1,6,4,2,3,5]=>[5,6,2,4,3,1]
[1,6,4,2,5,3]=>[5,6,2,3,4,1]
[1,6,4,3,2,5]=>[5,6,3,4,2,1]
[1,6,4,3,5,2]=>[5,6,4,3,1,2]
[1,6,4,5,2,3]=>[5,6,3,2,1,4]
[1,6,4,5,3,2]=>[5,6,4,2,1,3]
[1,6,5,2,3,4]=>[5,6,2,1,4,3]
[1,6,5,2,4,3]=>[5,6,2,1,3,4]
[1,6,5,3,2,4]=>[5,6,3,1,4,2]
[1,6,5,3,4,2]=>[5,6,4,1,3,2]
[1,6,5,4,2,3]=>[5,6,3,1,2,4]
[1,6,5,4,3,2]=>[5,6,4,1,2,3]
[2,1,3,4,5,6]=>[1,3,2,4,5,6]
[2,1,3,4,6,5]=>[2,4,3,5,6,1]
[2,1,3,5,4,6]=>[1,3,2,4,6,5]
[2,1,3,5,6,4]=>[2,4,3,5,1,6]
[2,1,3,6,4,5]=>[3,5,4,6,1,2]
[2,1,3,6,5,4]=>[3,5,4,6,2,1]
[2,1,4,3,5,6]=>[1,3,2,5,4,6]
[2,1,4,3,6,5]=>[2,4,3,6,5,1]
[2,1,4,5,3,6]=>[1,3,2,6,4,5]
[2,1,4,5,6,3]=>[2,4,3,1,6,5]
[2,1,4,6,3,5]=>[3,5,4,1,2,6]
[2,1,4,6,5,3]=>[3,5,4,2,1,6]
[2,1,5,3,4,6]=>[1,3,2,5,6,4]
[2,1,5,3,6,4]=>[2,4,3,6,1,5]
[2,1,5,4,3,6]=>[1,3,2,6,5,4]
[2,1,5,4,6,3]=>[2,4,3,1,5,6]
[2,1,5,6,3,4]=>[3,5,4,1,6,2]
[2,1,5,6,4,3]=>[3,5,4,2,6,1]
[2,1,6,3,4,5]=>[4,6,5,1,3,2]
[2,1,6,3,5,4]=>[4,6,5,1,2,3]
[2,1,6,4,3,5]=>[4,6,5,2,3,1]
[2,1,6,4,5,3]=>[4,6,5,3,2,1]
[2,1,6,5,3,4]=>[4,6,5,2,1,3]
[2,1,6,5,4,3]=>[4,6,5,3,1,2]
[2,3,1,4,5,6]=>[1,4,2,3,5,6]
[2,3,1,4,6,5]=>[2,5,3,4,6,1]
[2,3,1,5,4,6]=>[1,4,2,3,6,5]
[2,3,1,5,6,4]=>[2,5,3,4,1,6]
[2,3,1,6,4,5]=>[3,6,4,5,1,2]
[2,3,1,6,5,4]=>[3,6,4,5,2,1]
[2,3,4,1,5,6]=>[1,5,2,3,4,6]
[2,3,4,1,6,5]=>[2,6,3,4,5,1]
[2,3,4,5,1,6]=>[1,6,2,3,4,5]
[2,3,4,5,6,1]=>[2,1,6,5,4,3]
[2,3,4,6,1,5]=>[3,1,2,4,5,6]
[2,3,4,6,5,1]=>[3,2,1,6,5,4]
[2,3,5,1,4,6]=>[1,5,2,3,6,4]
[2,3,5,1,6,4]=>[2,6,3,4,1,5]
[2,3,5,4,1,6]=>[1,6,2,3,5,4]
[2,3,5,4,6,1]=>[2,1,5,6,4,3]
[2,3,5,6,1,4]=>[3,1,6,2,4,5]
[2,3,5,6,4,1]=>[3,2,6,1,5,4]
[2,3,6,1,4,5]=>[4,1,3,5,6,2]
[2,3,6,1,5,4]=>[4,1,2,5,6,3]
[2,3,6,4,1,5]=>[4,2,3,5,6,1]
[2,3,6,4,5,1]=>[4,3,2,1,6,5]
[2,3,6,5,1,4]=>[4,2,1,3,5,6]
[2,3,6,5,4,1]=>[4,3,1,2,6,5]
[2,4,1,3,5,6]=>[1,4,2,5,3,6]
[2,4,1,3,6,5]=>[2,5,3,6,4,1]
[2,4,1,5,3,6]=>[1,4,2,6,3,5]
[2,4,1,5,6,3]=>[2,5,3,1,6,4]
[2,4,1,6,3,5]=>[3,6,4,1,2,5]
[2,4,1,6,5,3]=>[3,6,4,2,1,5]
[2,4,3,1,5,6]=>[1,5,2,4,3,6]
[2,4,3,1,6,5]=>[2,6,3,5,4,1]
[2,4,3,5,1,6]=>[1,6,2,4,3,5]
[2,4,3,5,6,1]=>[2,1,6,4,5,3]
[2,4,3,6,1,5]=>[3,1,2,4,6,5]
[2,4,3,6,5,1]=>[3,2,1,5,6,4]
[2,4,5,1,3,6]=>[1,5,2,6,3,4]
[2,4,5,1,6,3]=>[2,6,3,1,5,4]
[2,4,5,3,1,6]=>[1,6,2,5,3,4]
[2,4,5,3,6,1]=>[2,1,5,4,6,3]
[2,4,5,6,1,3]=>[3,1,6,5,2,4]
[2,4,5,6,3,1]=>[3,2,6,5,1,4]
[2,4,6,1,3,5]=>[4,1,3,5,2,6]
[2,4,6,1,5,3]=>[4,1,2,5,3,6]
[2,4,6,3,1,5]=>[4,2,3,5,1,6]
[2,4,6,3,5,1]=>[4,3,2,6,1,5]
[2,4,6,5,1,3]=>[4,2,1,6,3,5]
[2,4,6,5,3,1]=>[4,3,1,6,2,5]
[2,5,1,3,4,6]=>[1,4,2,5,6,3]
[2,5,1,3,6,4]=>[2,5,3,6,1,4]
[2,5,1,4,3,6]=>[1,4,2,6,5,3]
[2,5,1,4,6,3]=>[2,5,3,1,4,6]
[2,5,1,6,3,4]=>[3,6,4,1,5,2]
[2,5,1,6,4,3]=>[3,6,4,2,5,1]
[2,5,3,1,4,6]=>[1,5,2,4,6,3]
[2,5,3,1,6,4]=>[2,6,3,5,1,4]
[2,5,3,4,1,6]=>[1,6,2,4,5,3]
[2,5,3,4,6,1]=>[2,1,4,6,5,3]
[2,5,3,6,1,4]=>[3,1,5,2,4,6]
[2,5,3,6,4,1]=>[3,2,5,1,6,4]
[2,5,4,1,3,6]=>[1,5,2,6,4,3]
[2,5,4,1,6,3]=>[2,6,3,1,4,5]
[2,5,4,3,1,6]=>[1,6,2,5,4,3]
[2,5,4,3,6,1]=>[2,1,4,5,6,3]
[2,5,4,6,1,3]=>[3,1,5,6,2,4]
[2,5,4,6,3,1]=>[3,2,5,6,1,4]
[2,5,6,1,3,4]=>[4,1,6,3,5,2]
[2,5,6,1,4,3]=>[4,1,6,2,5,3]
[2,5,6,3,1,4]=>[4,2,6,3,5,1]
[2,5,6,3,4,1]=>[4,3,6,2,1,5]
[2,5,6,4,1,3]=>[4,2,6,1,3,5]
[2,5,6,4,3,1]=>[4,3,6,1,2,5]
[2,6,1,3,4,5]=>[5,1,4,6,2,3]
[2,6,1,3,5,4]=>[5,1,3,6,2,4]
[2,6,1,4,3,5]=>[5,1,4,6,3,2]
[2,6,1,4,5,3]=>[5,1,3,6,4,2]
[2,6,1,5,3,4]=>[5,1,2,6,3,4]
[2,6,1,5,4,3]=>[5,1,2,6,4,3]
[2,6,3,1,4,5]=>[5,2,4,6,1,3]
[2,6,3,1,5,4]=>[5,2,3,6,1,4]
[2,6,3,4,1,5]=>[5,3,4,6,1,2]
[2,6,3,4,5,1]=>[5,4,3,2,1,6]
[2,6,3,5,1,4]=>[5,3,2,4,6,1]
[2,6,3,5,4,1]=>[5,4,2,3,1,6]
[2,6,4,1,3,5]=>[5,2,4,6,3,1]
[2,6,4,1,5,3]=>[5,2,3,6,4,1]
[2,6,4,3,1,5]=>[5,3,4,6,2,1]
[2,6,4,3,5,1]=>[5,4,3,1,2,6]
[2,6,4,5,1,3]=>[5,3,2,1,4,6]
[2,6,4,5,3,1]=>[5,4,2,1,3,6]
[2,6,5,1,3,4]=>[5,2,1,4,6,3]
[2,6,5,1,4,3]=>[5,2,1,3,6,4]
[2,6,5,3,1,4]=>[5,3,1,4,6,2]
[2,6,5,3,4,1]=>[5,4,1,3,2,6]
[2,6,5,4,1,3]=>[5,3,1,2,4,6]
[2,6,5,4,3,1]=>[5,4,1,2,3,6]
[3,1,2,4,5,6]=>[1,3,4,2,5,6]
[3,1,2,4,6,5]=>[2,4,5,3,6,1]
[3,1,2,5,4,6]=>[1,3,4,2,6,5]
[3,1,2,5,6,4]=>[2,4,5,3,1,6]
[3,1,2,6,4,5]=>[3,5,6,4,1,2]
[3,1,2,6,5,4]=>[3,5,6,4,2,1]
[3,1,4,2,5,6]=>[1,3,5,2,4,6]
[3,1,4,2,6,5]=>[2,4,6,3,5,1]
[3,1,4,5,2,6]=>[1,3,6,2,4,5]
[3,1,4,5,6,2]=>[2,4,1,6,5,3]
[3,1,4,6,2,5]=>[3,5,1,2,4,6]
[3,1,4,6,5,2]=>[3,5,2,1,6,4]
[3,1,5,2,4,6]=>[1,3,5,2,6,4]
[3,1,5,2,6,4]=>[2,4,6,3,1,5]
[3,1,5,4,2,6]=>[1,3,6,2,5,4]
[3,1,5,4,6,2]=>[2,4,1,5,6,3]
[3,1,5,6,2,4]=>[3,5,1,6,2,4]
[3,1,5,6,4,2]=>[3,5,2,6,1,4]
[3,1,6,2,4,5]=>[4,6,1,3,5,2]
[3,1,6,2,5,4]=>[4,6,1,2,5,3]
[3,1,6,4,2,5]=>[4,6,2,3,5,1]
[3,1,6,4,5,2]=>[4,6,3,2,1,5]
[3,1,6,5,2,4]=>[4,6,2,1,3,5]
[3,1,6,5,4,2]=>[4,6,3,1,2,5]
[3,2,1,4,5,6]=>[1,4,3,2,5,6]
[3,2,1,4,6,5]=>[2,5,4,3,6,1]
[3,2,1,5,4,6]=>[1,4,3,2,6,5]
[3,2,1,5,6,4]=>[2,5,4,3,1,6]
[3,2,1,6,4,5]=>[3,6,5,4,1,2]
[3,2,1,6,5,4]=>[3,6,5,4,2,1]
[3,2,4,1,5,6]=>[1,5,3,2,4,6]
[3,2,4,1,6,5]=>[2,6,4,3,5,1]
[3,2,4,5,1,6]=>[1,6,3,2,4,5]
[3,2,4,5,6,1]=>[2,1,6,5,3,4]
[3,2,4,6,1,5]=>[3,1,2,5,4,6]
[3,2,4,6,5,1]=>[3,2,1,6,4,5]
[3,2,5,1,4,6]=>[1,5,3,2,6,4]
[3,2,5,1,6,4]=>[2,6,4,3,1,5]
[3,2,5,4,1,6]=>[1,6,3,2,5,4]
[3,2,5,4,6,1]=>[2,1,5,6,3,4]
[3,2,5,6,1,4]=>[3,1,6,2,5,4]
[3,2,5,6,4,1]=>[3,2,6,1,4,5]
[3,2,6,1,4,5]=>[4,1,3,6,5,2]
[3,2,6,1,5,4]=>[4,1,2,6,5,3]
[3,2,6,4,1,5]=>[4,2,3,6,5,1]
[3,2,6,4,5,1]=>[4,3,2,1,5,6]
[3,2,6,5,1,4]=>[4,2,1,3,6,5]
[3,2,6,5,4,1]=>[4,3,1,2,5,6]
[3,4,1,2,5,6]=>[1,4,5,2,3,6]
[3,4,1,2,6,5]=>[2,5,6,3,4,1]
[3,4,1,5,2,6]=>[1,4,6,2,3,5]
[3,4,1,5,6,2]=>[2,5,1,6,4,3]
[3,4,1,6,2,5]=>[3,6,1,2,4,5]
[3,4,1,6,5,2]=>[3,6,2,1,5,4]
[3,4,2,1,5,6]=>[1,5,4,2,3,6]
[3,4,2,1,6,5]=>[2,6,5,3,4,1]
[3,4,2,5,1,6]=>[1,6,4,2,3,5]
[3,4,2,5,6,1]=>[2,1,6,4,3,5]
[3,4,2,6,1,5]=>[3,1,2,6,4,5]
[3,4,2,6,5,1]=>[3,2,1,5,4,6]
[3,4,5,1,2,6]=>[1,5,6,2,3,4]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]
[3,4,5,2,1,6]=>[1,6,5,2,3,4]
[3,4,5,2,6,1]=>[2,1,5,4,3,6]
[3,4,5,6,1,2]=>[3,1,6,5,4,2]
[3,4,5,6,2,1]=>[3,2,6,5,4,1]
[3,4,6,1,2,5]=>[4,1,3,2,5,6]
[3,4,6,1,5,2]=>[4,1,2,3,6,5]
[3,4,6,2,1,5]=>[4,2,3,1,5,6]
[3,4,6,2,5,1]=>[4,3,2,6,5,1]
[3,4,6,5,1,2]=>[4,2,1,6,5,3]
[3,4,6,5,2,1]=>[4,3,1,6,5,2]
[3,5,1,2,4,6]=>[1,4,5,2,6,3]
[3,5,1,2,6,4]=>[2,5,6,3,1,4]
[3,5,1,4,2,6]=>[1,4,6,2,5,3]
[3,5,1,4,6,2]=>[2,5,1,4,6,3]
[3,5,1,6,2,4]=>[3,6,1,5,2,4]
[3,5,1,6,4,2]=>[3,6,2,5,1,4]
[3,5,2,1,4,6]=>[1,5,4,2,6,3]
[3,5,2,1,6,4]=>[2,6,5,3,1,4]
[3,5,2,4,1,6]=>[1,6,4,2,5,3]
[3,5,2,4,6,1]=>[2,1,4,6,3,5]
[3,5,2,6,1,4]=>[3,1,5,2,6,4]
[3,5,2,6,4,1]=>[3,2,5,1,4,6]
[3,5,4,1,2,6]=>[1,5,6,2,4,3]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]
[3,5,4,2,1,6]=>[1,6,5,2,4,3]
[3,5,4,2,6,1]=>[2,1,4,5,3,6]
[3,5,4,6,1,2]=>[3,1,5,6,4,2]
[3,5,4,6,2,1]=>[3,2,5,6,4,1]
[3,5,6,1,2,4]=>[4,1,6,3,2,5]
[3,5,6,1,4,2]=>[4,1,6,2,3,5]
[3,5,6,2,1,4]=>[4,2,6,3,1,5]
[3,5,6,2,4,1]=>[4,3,6,2,5,1]
[3,5,6,4,1,2]=>[4,2,6,1,5,3]
[3,5,6,4,2,1]=>[4,3,6,1,5,2]
[3,6,1,2,4,5]=>[5,1,4,2,6,3]
[3,6,1,2,5,4]=>[5,1,3,2,6,4]
[3,6,1,4,2,5]=>[5,1,4,3,6,2]
[3,6,1,4,5,2]=>[5,1,3,4,2,6]
[3,6,1,5,2,4]=>[5,1,2,3,4,6]
[3,6,1,5,4,2]=>[5,1,2,4,3,6]
[3,6,2,1,4,5]=>[5,2,4,1,6,3]
[3,6,2,1,5,4]=>[5,2,3,1,6,4]
[3,6,2,4,1,5]=>[5,3,4,1,6,2]
[3,6,2,4,5,1]=>[5,4,3,2,6,1]
[3,6,2,5,1,4]=>[5,3,2,4,1,6]
[3,6,2,5,4,1]=>[5,4,2,3,6,1]
[3,6,4,1,2,5]=>[5,2,4,3,6,1]
[3,6,4,1,5,2]=>[5,2,3,4,1,6]
[3,6,4,2,1,5]=>[5,3,4,2,6,1]
[3,6,4,2,5,1]=>[5,4,3,1,6,2]
[3,6,4,5,1,2]=>[5,3,2,1,6,4]
[3,6,4,5,2,1]=>[5,4,2,1,6,3]
[3,6,5,1,2,4]=>[5,2,1,4,3,6]
[3,6,5,1,4,2]=>[5,2,1,3,4,6]
[3,6,5,2,1,4]=>[5,3,1,4,2,6]
[3,6,5,2,4,1]=>[5,4,1,3,6,2]
[3,6,5,4,1,2]=>[5,3,1,2,6,4]
[3,6,5,4,2,1]=>[5,4,1,2,6,3]
[4,1,2,3,5,6]=>[1,3,4,5,2,6]
[4,1,2,3,6,5]=>[2,4,5,6,3,1]
[4,1,2,5,3,6]=>[1,3,4,6,2,5]
[4,1,2,5,6,3]=>[2,4,5,1,6,3]
[4,1,2,6,3,5]=>[3,5,6,1,2,4]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]
[4,1,3,2,5,6]=>[1,3,5,4,2,6]
[4,1,3,2,6,5]=>[2,4,6,5,3,1]
[4,1,3,5,2,6]=>[1,3,6,4,2,5]
[4,1,3,5,6,2]=>[2,4,1,6,3,5]
[4,1,3,6,2,5]=>[3,5,1,2,6,4]
[4,1,3,6,5,2]=>[3,5,2,1,4,6]
[4,1,5,2,3,6]=>[1,3,5,6,2,4]
[4,1,5,2,6,3]=>[2,4,6,1,5,3]
[4,1,5,3,2,6]=>[1,3,6,5,2,4]
[4,1,5,3,6,2]=>[2,4,1,5,3,6]
[4,1,5,6,2,3]=>[3,5,1,6,4,2]
[4,1,5,6,3,2]=>[3,5,2,6,4,1]
[4,1,6,2,3,5]=>[4,6,1,3,2,5]
[4,1,6,2,5,3]=>[4,6,1,2,3,5]
[4,1,6,3,2,5]=>[4,6,2,3,1,5]
[4,1,6,3,5,2]=>[4,6,3,2,5,1]
[4,1,6,5,2,3]=>[4,6,2,1,5,3]
[4,1,6,5,3,2]=>[4,6,3,1,5,2]
[4,2,1,3,5,6]=>[1,4,3,5,2,6]
[4,2,1,3,6,5]=>[2,5,4,6,3,1]
[4,2,1,5,3,6]=>[1,4,3,6,2,5]
[4,2,1,5,6,3]=>[2,5,4,1,6,3]
[4,2,1,6,3,5]=>[3,6,5,1,2,4]
[4,2,1,6,5,3]=>[3,6,5,2,1,4]
[4,2,3,1,5,6]=>[1,5,3,4,2,6]
[4,2,3,1,6,5]=>[2,6,4,5,3,1]
[4,2,3,5,1,6]=>[1,6,3,4,2,5]
[4,2,3,5,6,1]=>[2,1,6,3,5,4]
[4,2,3,6,1,5]=>[3,1,2,5,6,4]
[4,2,3,6,5,1]=>[3,2,1,4,6,5]
[4,2,5,1,3,6]=>[1,5,3,6,2,4]
[4,2,5,1,6,3]=>[2,6,4,1,5,3]
[4,2,5,3,1,6]=>[1,6,3,5,2,4]
[4,2,5,3,6,1]=>[2,1,5,3,6,4]
[4,2,5,6,1,3]=>[3,1,6,4,2,5]
[4,2,5,6,3,1]=>[3,2,6,4,1,5]
[4,2,6,1,3,5]=>[4,1,3,6,2,5]
[4,2,6,1,5,3]=>[4,1,2,6,3,5]
[4,2,6,3,1,5]=>[4,2,3,6,1,5]
[4,2,6,3,5,1]=>[4,3,2,5,1,6]
[4,2,6,5,1,3]=>[4,2,1,5,3,6]
[4,2,6,5,3,1]=>[4,3,1,5,2,6]
[4,3,1,2,5,6]=>[1,4,5,3,2,6]
[4,3,1,2,6,5]=>[2,5,6,4,3,1]
[4,3,1,5,2,6]=>[1,4,6,3,2,5]
[4,3,1,5,6,2]=>[2,5,1,6,3,4]
[4,3,1,6,2,5]=>[3,6,1,2,5,4]
[4,3,1,6,5,2]=>[3,6,2,1,4,5]
[4,3,2,1,5,6]=>[1,5,4,3,2,6]
[4,3,2,1,6,5]=>[2,6,5,4,3,1]
[4,3,2,5,1,6]=>[1,6,4,3,2,5]
[4,3,2,5,6,1]=>[2,1,6,3,4,5]
[4,3,2,6,1,5]=>[3,1,2,6,5,4]
[4,3,2,6,5,1]=>[3,2,1,4,5,6]
[4,3,5,1,2,6]=>[1,5,6,3,2,4]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]
[4,3,5,2,1,6]=>[1,6,5,3,2,4]
[4,3,5,2,6,1]=>[2,1,5,3,4,6]
[4,3,5,6,1,2]=>[3,1,6,4,5,2]
[4,3,5,6,2,1]=>[3,2,6,4,5,1]
[4,3,6,1,2,5]=>[4,1,3,2,6,5]
[4,3,6,1,5,2]=>[4,1,2,3,5,6]
[4,3,6,2,1,5]=>[4,2,3,1,6,5]
[4,3,6,2,5,1]=>[4,3,2,5,6,1]
[4,3,6,5,1,2]=>[4,2,1,5,6,3]
[4,3,6,5,2,1]=>[4,3,1,5,6,2]
[4,5,1,2,3,6]=>[1,4,5,6,2,3]
[4,5,1,2,6,3]=>[2,5,6,1,4,3]
[4,5,1,3,2,6]=>[1,4,6,5,2,3]
[4,5,1,3,6,2]=>[2,5,1,4,3,6]
[4,5,1,6,2,3]=>[3,6,1,5,4,2]
[4,5,1,6,3,2]=>[3,6,2,5,4,1]
[4,5,2,1,3,6]=>[1,5,4,6,2,3]
[4,5,2,1,6,3]=>[2,6,5,1,4,3]
[4,5,2,3,1,6]=>[1,6,4,5,2,3]
[4,5,2,3,6,1]=>[2,1,4,3,6,5]
[4,5,2,6,1,3]=>[3,1,5,4,2,6]
[4,5,2,6,3,1]=>[3,2,5,4,1,6]
[4,5,3,1,2,6]=>[1,5,6,4,2,3]
[4,5,3,1,6,2]=>[2,6,1,4,3,5]
[4,5,3,2,1,6]=>[1,6,5,4,2,3]
[4,5,3,2,6,1]=>[2,1,4,3,5,6]
[4,5,3,6,1,2]=>[3,1,5,4,6,2]
[4,5,3,6,2,1]=>[3,2,5,4,6,1]
[4,5,6,1,2,3]=>[4,1,6,5,3,2]
[4,5,6,1,3,2]=>[4,1,6,5,2,3]
[4,5,6,2,1,3]=>[4,2,6,5,3,1]
[4,5,6,2,3,1]=>[4,3,6,5,2,1]
[4,5,6,3,1,2]=>[4,2,6,5,1,3]
[4,5,6,3,2,1]=>[4,3,6,5,1,2]
[4,6,1,2,3,5]=>[5,1,4,2,3,6]
[4,6,1,2,5,3]=>[5,1,3,2,4,6]
[4,6,1,3,2,5]=>[5,1,4,3,2,6]
[4,6,1,3,5,2]=>[5,1,3,4,6,2]
[4,6,1,5,2,3]=>[5,1,2,3,6,4]
[4,6,1,5,3,2]=>[5,1,2,4,6,3]
[4,6,2,1,3,5]=>[5,2,4,1,3,6]
[4,6,2,1,5,3]=>[5,2,3,1,4,6]
[4,6,2,3,1,5]=>[5,3,4,1,2,6]
[4,6,2,3,5,1]=>[5,4,3,6,2,1]
[4,6,2,5,1,3]=>[5,3,2,6,4,1]
[4,6,2,5,3,1]=>[5,4,2,6,3,1]
[4,6,3,1,2,5]=>[5,2,4,3,1,6]
[4,6,3,1,5,2]=>[5,2,3,4,6,1]
[4,6,3,2,1,5]=>[5,3,4,2,1,6]
[4,6,3,2,5,1]=>[5,4,3,6,1,2]
[4,6,3,5,1,2]=>[5,3,2,6,1,4]
[4,6,3,5,2,1]=>[5,4,2,6,1,3]
[4,6,5,1,2,3]=>[5,2,1,6,4,3]
[4,6,5,1,3,2]=>[5,2,1,6,3,4]
[4,6,5,2,1,3]=>[5,3,1,6,4,2]
[4,6,5,2,3,1]=>[5,4,1,6,3,2]
[4,6,5,3,1,2]=>[5,3,1,6,2,4]
[4,6,5,3,2,1]=>[5,4,1,6,2,3]
[5,1,2,3,4,6]=>[1,3,4,5,6,2]
[5,1,2,3,6,4]=>[2,4,5,6,1,3]
[5,1,2,4,3,6]=>[1,3,4,6,5,2]
[5,1,2,4,6,3]=>[2,4,5,1,3,6]
[5,1,2,6,3,4]=>[3,5,6,1,4,2]
[5,1,2,6,4,3]=>[3,5,6,2,4,1]
[5,1,3,2,4,6]=>[1,3,5,4,6,2]
[5,1,3,2,6,4]=>[2,4,6,5,1,3]
[5,1,3,4,2,6]=>[1,3,6,4,5,2]
[5,1,3,4,6,2]=>[2,4,1,3,6,5]
[5,1,3,6,2,4]=>[3,5,1,4,2,6]
[5,1,3,6,4,2]=>[3,5,2,4,1,6]
[5,1,4,2,3,6]=>[1,3,5,6,4,2]
[5,1,4,2,6,3]=>[2,4,6,1,3,5]
[5,1,4,3,2,6]=>[1,3,6,5,4,2]
[5,1,4,3,6,2]=>[2,4,1,3,5,6]
[5,1,4,6,2,3]=>[3,5,1,4,6,2]
[5,1,4,6,3,2]=>[3,5,2,4,6,1]
[5,1,6,2,3,4]=>[4,6,1,5,3,2]
[5,1,6,2,4,3]=>[4,6,1,5,2,3]
[5,1,6,3,2,4]=>[4,6,2,5,3,1]
[5,1,6,3,4,2]=>[4,6,3,5,2,1]
[5,1,6,4,2,3]=>[4,6,2,5,1,3]
[5,1,6,4,3,2]=>[4,6,3,5,1,2]
[5,2,1,3,4,6]=>[1,4,3,5,6,2]
[5,2,1,3,6,4]=>[2,5,4,6,1,3]
[5,2,1,4,3,6]=>[1,4,3,6,5,2]
[5,2,1,4,6,3]=>[2,5,4,1,3,6]
[5,2,1,6,3,4]=>[3,6,5,1,4,2]
[5,2,1,6,4,3]=>[3,6,5,2,4,1]
[5,2,3,1,4,6]=>[1,5,3,4,6,2]
[5,2,3,1,6,4]=>[2,6,4,5,1,3]
[5,2,3,4,1,6]=>[1,6,3,4,5,2]
[5,2,3,4,6,1]=>[2,1,3,6,5,4]
[5,2,3,6,1,4]=>[3,1,4,2,5,6]
[5,2,3,6,4,1]=>[3,2,4,1,6,5]
[5,2,4,1,3,6]=>[1,5,3,6,4,2]
[5,2,4,1,6,3]=>[2,6,4,1,3,5]
[5,2,4,3,1,6]=>[1,6,3,5,4,2]
[5,2,4,3,6,1]=>[2,1,3,5,6,4]
[5,2,4,6,1,3]=>[3,1,4,6,2,5]
[5,2,4,6,3,1]=>[3,2,4,6,1,5]
[5,2,6,1,3,4]=>[4,1,5,3,6,2]
[5,2,6,1,4,3]=>[4,1,5,2,6,3]
[5,2,6,3,1,4]=>[4,2,5,3,6,1]
[5,2,6,3,4,1]=>[4,3,5,2,1,6]
[5,2,6,4,1,3]=>[4,2,5,1,3,6]
[5,2,6,4,3,1]=>[4,3,5,1,2,6]
[5,3,1,2,4,6]=>[1,4,5,3,6,2]
[5,3,1,2,6,4]=>[2,5,6,4,1,3]
[5,3,1,4,2,6]=>[1,4,6,3,5,2]
[5,3,1,4,6,2]=>[2,5,1,3,6,4]
[5,3,1,6,2,4]=>[3,6,1,4,2,5]
[5,3,1,6,4,2]=>[3,6,2,4,1,5]
[5,3,2,1,4,6]=>[1,5,4,3,6,2]
[5,3,2,1,6,4]=>[2,6,5,4,1,3]
[5,3,2,4,1,6]=>[1,6,4,3,5,2]
[5,3,2,4,6,1]=>[2,1,3,6,4,5]
[5,3,2,6,1,4]=>[3,1,4,2,6,5]
[5,3,2,6,4,1]=>[3,2,4,1,5,6]
[5,3,4,1,2,6]=>[1,5,6,3,4,2]
[5,3,4,1,6,2]=>[2,6,1,3,5,4]
[5,3,4,2,1,6]=>[1,6,5,3,4,2]
[5,3,4,2,6,1]=>[2,1,3,5,4,6]
[5,3,4,6,1,2]=>[3,1,4,6,5,2]
[5,3,4,6,2,1]=>[3,2,4,6,5,1]
[5,3,6,1,2,4]=>[4,1,5,3,2,6]
[5,3,6,1,4,2]=>[4,1,5,2,3,6]
[5,3,6,2,1,4]=>[4,2,5,3,1,6]
[5,3,6,2,4,1]=>[4,3,5,2,6,1]
[5,3,6,4,1,2]=>[4,2,5,1,6,3]
[5,3,6,4,2,1]=>[4,3,5,1,6,2]
[5,4,1,2,3,6]=>[1,4,5,6,3,2]
[5,4,1,2,6,3]=>[2,5,6,1,3,4]
[5,4,1,3,2,6]=>[1,4,6,5,3,2]
[5,4,1,3,6,2]=>[2,5,1,3,4,6]
[5,4,1,6,2,3]=>[3,6,1,4,5,2]
[5,4,1,6,3,2]=>[3,6,2,4,5,1]
[5,4,2,1,3,6]=>[1,5,4,6,3,2]
[5,4,2,1,6,3]=>[2,6,5,1,3,4]
[5,4,2,3,1,6]=>[1,6,4,5,3,2]
[5,4,2,3,6,1]=>[2,1,3,4,6,5]
[5,4,2,6,1,3]=>[3,1,4,5,2,6]
[5,4,2,6,3,1]=>[3,2,4,5,1,6]
[5,4,3,1,2,6]=>[1,5,6,4,3,2]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]
[5,4,3,2,1,6]=>[1,6,5,4,3,2]
[5,4,3,2,6,1]=>[2,1,3,4,5,6]
[5,4,3,6,1,2]=>[3,1,4,5,6,2]
[5,4,3,6,2,1]=>[3,2,4,5,6,1]
[5,4,6,1,2,3]=>[4,1,5,6,3,2]
[5,4,6,1,3,2]=>[4,1,5,6,2,3]
[5,4,6,2,1,3]=>[4,2,5,6,3,1]
[5,4,6,2,3,1]=>[4,3,5,6,2,1]
[5,4,6,3,1,2]=>[4,2,5,6,1,3]
[5,4,6,3,2,1]=>[4,3,5,6,1,2]
[5,6,1,2,3,4]=>[5,1,6,4,2,3]
[5,6,1,2,4,3]=>[5,1,6,3,2,4]
[5,6,1,3,2,4]=>[5,1,6,4,3,2]
[5,6,1,3,4,2]=>[5,1,6,3,4,2]
[5,6,1,4,2,3]=>[5,1,6,2,3,4]
[5,6,1,4,3,2]=>[5,1,6,2,4,3]
[5,6,2,1,3,4]=>[5,2,6,4,1,3]
[5,6,2,1,4,3]=>[5,2,6,3,1,4]
[5,6,2,3,1,4]=>[5,3,6,4,1,2]
[5,6,2,3,4,1]=>[5,4,6,3,2,1]
[5,6,2,4,1,3]=>[5,3,6,2,4,1]
[5,6,2,4,3,1]=>[5,4,6,2,3,1]
[5,6,3,1,2,4]=>[5,2,6,4,3,1]
[5,6,3,1,4,2]=>[5,2,6,3,4,1]
[5,6,3,2,1,4]=>[5,3,6,4,2,1]
[5,6,3,2,4,1]=>[5,4,6,3,1,2]
[5,6,3,4,1,2]=>[5,3,6,2,1,4]
[5,6,3,4,2,1]=>[5,4,6,2,1,3]
[5,6,4,1,2,3]=>[5,2,6,1,4,3]
[5,6,4,1,3,2]=>[5,2,6,1,3,4]
[5,6,4,2,1,3]=>[5,3,6,1,4,2]
[5,6,4,2,3,1]=>[5,4,6,1,3,2]
[5,6,4,3,1,2]=>[5,3,6,1,2,4]
[5,6,4,3,2,1]=>[5,4,6,1,2,3]
[6,1,2,3,4,5]=>[6,1,5,2,3,4]
[6,1,2,3,5,4]=>[6,1,4,2,3,5]
[6,1,2,4,3,5]=>[6,1,5,2,4,3]
[6,1,2,4,5,3]=>[6,1,4,2,5,3]
[6,1,2,5,3,4]=>[6,1,3,2,4,5]
[6,1,2,5,4,3]=>[6,1,3,2,5,4]
[6,1,3,2,4,5]=>[6,1,5,3,2,4]
[6,1,3,2,5,4]=>[6,1,4,3,2,5]
[6,1,3,4,2,5]=>[6,1,5,4,2,3]
[6,1,3,4,5,2]=>[6,1,4,5,3,2]
[6,1,3,5,2,4]=>[6,1,3,4,5,2]
[6,1,3,5,4,2]=>[6,1,3,5,4,2]
[6,1,4,2,3,5]=>[6,1,5,3,4,2]
[6,1,4,2,5,3]=>[6,1,4,3,5,2]
[6,1,4,3,2,5]=>[6,1,5,4,3,2]
[6,1,4,3,5,2]=>[6,1,4,5,2,3]
[6,1,4,5,2,3]=>[6,1,3,4,2,5]
[6,1,4,5,3,2]=>[6,1,3,5,2,4]
[6,1,5,2,3,4]=>[6,1,2,3,5,4]
[6,1,5,2,4,3]=>[6,1,2,3,4,5]
[6,1,5,3,2,4]=>[6,1,2,4,5,3]
[6,1,5,3,4,2]=>[6,1,2,5,4,3]
[6,1,5,4,2,3]=>[6,1,2,4,3,5]
[6,1,5,4,3,2]=>[6,1,2,5,3,4]
[6,2,1,3,4,5]=>[6,2,5,1,3,4]
[6,2,1,3,5,4]=>[6,2,4,1,3,5]
[6,2,1,4,3,5]=>[6,2,5,1,4,3]
[6,2,1,4,5,3]=>[6,2,4,1,5,3]
[6,2,1,5,3,4]=>[6,2,3,1,4,5]
[6,2,1,5,4,3]=>[6,2,3,1,5,4]
[6,2,3,1,4,5]=>[6,3,5,1,2,4]
[6,2,3,1,5,4]=>[6,3,4,1,2,5]
[6,2,3,4,1,5]=>[6,4,5,1,2,3]
[6,2,3,4,5,1]=>[6,5,4,3,2,1]
[6,2,3,5,1,4]=>[6,4,3,5,1,2]
[6,2,3,5,4,1]=>[6,5,3,4,2,1]
[6,2,4,1,3,5]=>[6,3,5,1,4,2]
[6,2,4,1,5,3]=>[6,3,4,1,5,2]
[6,2,4,3,1,5]=>[6,4,5,1,3,2]
[6,2,4,3,5,1]=>[6,5,4,2,3,1]
[6,2,4,5,1,3]=>[6,4,3,2,5,1]
[6,2,4,5,3,1]=>[6,5,3,2,4,1]
[6,2,5,1,3,4]=>[6,3,2,5,1,4]
[6,2,5,1,4,3]=>[6,3,2,4,1,5]
[6,2,5,3,1,4]=>[6,4,2,5,1,3]
[6,2,5,3,4,1]=>[6,5,2,4,3,1]
[6,2,5,4,1,3]=>[6,4,2,3,5,1]
[6,2,5,4,3,1]=>[6,5,2,3,4,1]
[6,3,1,2,4,5]=>[6,2,5,3,1,4]
[6,3,1,2,5,4]=>[6,2,4,3,1,5]
[6,3,1,4,2,5]=>[6,2,5,4,1,3]
[6,3,1,4,5,2]=>[6,2,4,5,3,1]
[6,3,1,5,2,4]=>[6,2,3,4,5,1]
[6,3,1,5,4,2]=>[6,2,3,5,4,1]
[6,3,2,1,4,5]=>[6,3,5,2,1,4]
[6,3,2,1,5,4]=>[6,3,4,2,1,5]
[6,3,2,4,1,5]=>[6,4,5,2,1,3]
[6,3,2,4,5,1]=>[6,5,4,3,1,2]
[6,3,2,5,1,4]=>[6,4,3,5,2,1]
[6,3,2,5,4,1]=>[6,5,3,4,1,2]
[6,3,4,1,2,5]=>[6,3,5,4,1,2]
[6,3,4,1,5,2]=>[6,3,4,5,2,1]
[6,3,4,2,1,5]=>[6,4,5,3,1,2]
[6,3,4,2,5,1]=>[6,5,4,2,1,3]
[6,3,4,5,1,2]=>[6,4,3,2,1,5]
[6,3,4,5,2,1]=>[6,5,3,2,1,4]
[6,3,5,1,2,4]=>[6,3,2,5,4,1]
[6,3,5,1,4,2]=>[6,3,2,4,5,1]
[6,3,5,2,1,4]=>[6,4,2,5,3,1]
[6,3,5,2,4,1]=>[6,5,2,4,1,3]
[6,3,5,4,1,2]=>[6,4,2,3,1,5]
[6,3,5,4,2,1]=>[6,5,2,3,1,4]
[6,4,1,2,3,5]=>[6,2,5,3,4,1]
[6,4,1,2,5,3]=>[6,2,4,3,5,1]
[6,4,1,3,2,5]=>[6,2,5,4,3,1]
[6,4,1,3,5,2]=>[6,2,4,5,1,3]
[6,4,1,5,2,3]=>[6,2,3,4,1,5]
[6,4,1,5,3,2]=>[6,2,3,5,1,4]
[6,4,2,1,3,5]=>[6,3,5,2,4,1]
[6,4,2,1,5,3]=>[6,3,4,2,5,1]
[6,4,2,3,1,5]=>[6,4,5,2,3,1]
[6,4,2,3,5,1]=>[6,5,4,1,3,2]
[6,4,2,5,1,3]=>[6,4,3,1,5,2]
[6,4,2,5,3,1]=>[6,5,3,1,4,2]
[6,4,3,1,2,5]=>[6,3,5,4,2,1]
[6,4,3,1,5,2]=>[6,3,4,5,1,2]
[6,4,3,2,1,5]=>[6,4,5,3,2,1]
[6,4,3,2,5,1]=>[6,5,4,1,2,3]
[6,4,3,5,1,2]=>[6,4,3,1,2,5]
[6,4,3,5,2,1]=>[6,5,3,1,2,4]
[6,4,5,1,2,3]=>[6,3,2,1,5,4]
[6,4,5,1,3,2]=>[6,3,2,1,4,5]
[6,4,5,2,1,3]=>[6,4,2,1,5,3]
[6,4,5,2,3,1]=>[6,5,2,1,4,3]
[6,4,5,3,1,2]=>[6,4,2,1,3,5]
[6,4,5,3,2,1]=>[6,5,2,1,3,4]
[6,5,1,2,3,4]=>[6,2,1,5,3,4]
[6,5,1,2,4,3]=>[6,2,1,4,3,5]
[6,5,1,3,2,4]=>[6,2,1,5,4,3]
[6,5,1,3,4,2]=>[6,2,1,4,5,3]
[6,5,1,4,2,3]=>[6,2,1,3,4,5]
[6,5,1,4,3,2]=>[6,2,1,3,5,4]
[6,5,2,1,3,4]=>[6,3,1,5,2,4]
[6,5,2,1,4,3]=>[6,3,1,4,2,5]
[6,5,2,3,1,4]=>[6,4,1,5,2,3]
[6,5,2,3,4,1]=>[6,5,1,4,3,2]
[6,5,2,4,1,3]=>[6,4,1,3,5,2]
[6,5,2,4,3,1]=>[6,5,1,3,4,2]
[6,5,3,1,2,4]=>[6,3,1,5,4,2]
[6,5,3,1,4,2]=>[6,3,1,4,5,2]
[6,5,3,2,1,4]=>[6,4,1,5,3,2]
[6,5,3,2,4,1]=>[6,5,1,4,2,3]
[6,5,3,4,1,2]=>[6,4,1,3,2,5]
[6,5,3,4,2,1]=>[6,5,1,3,2,4]
[6,5,4,1,2,3]=>[6,3,1,2,5,4]
[6,5,4,1,3,2]=>[6,3,1,2,4,5]
[6,5,4,2,1,3]=>[6,4,1,2,5,3]
[6,5,4,2,3,1]=>[6,5,1,2,4,3]
[6,5,4,3,1,2]=>[6,4,1,2,3,5]
[6,5,4,3,2,1]=>[6,5,1,2,3,4]
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(only identities of compositions of up to three maps are shown)
Description
The unique parking function obtained by applying the Foata-Riordan map to obtain a Prüfer code, then prepending 0 and cyclically shifting.
Let $c_1,\dots,c_{n-1}$ be the Prüfer code obtained via the Foata-Riordan map described in [1, eq (1.2)] and let $c_0=0$. This map returns the a unique parking function $(q_1,\dots,q_n)$ such that $q_i-c_{i-1}$ is constant modulo $n+1$, see [2, sec 4].
This map sends the number of ones to the number of occurrences of the first element.
Let $c_1,\dots,c_{n-1}$ be the Prüfer code obtained via the Foata-Riordan map described in [1, eq (1.2)] and let $c_0=0$. This map returns the a unique parking function $(q_1,\dots,q_n)$ such that $q_i-c_{i-1}$ is constant modulo $n+1$, see [2, sec 4].
This map sends the number of ones to the number of occurrences of the first element.
References
[1] Foata, D., Riordan, J. Mappings of acyclic and parking functions MathSciNet:0335294
Properties
bijective, graded
Sage code
def mapping(p): if not p: return p return pruefer_to_parking_circular(parking_to_pruefer_foata_riordan(p)) def pruefer_to_parking_circular(c): pc = [0] + list(c) n = len(pc) P = ParkingFunctions(n) for i in range(n): if pc in P: break pc = [(e + 1) % (n+1) for e in pc] return ParkingFunction(pc) def parking_to_pruefer_foata_riordan(p): n = len(p) tau = Permutation([sum(1 for j in range(n) if p[j] < p[i] or (p[j] == p[i] and j <= i)) for i in range(n)]) pi = tau.inverse() E = [(0, i) if c == 1 else (i, pi(c-1)) for i, c in enumerate(p, 1)] V = list(range(n+1)) G = Graph([V, E]) c = [] for _ in range(n-1): for u in V: if G.degree(u) == 1: c.append(G[u][0]) G.delete_vertex(u) V.remove(u) break return c
Weight
40
Created
Jun 16, 2023 at 15:26 by Martin Rubey
Updated
Jun 16, 2023 at 15:26 by Martin Rubey
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