Identifier
Mp00241:
Permutations
—invert Laguerre heap⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00223: Permutations —runsort⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00223: Permutations —runsort⟶ Permutations
Images
=>
[1]=>[1]=>[1]=>[1]
[1,2]=>[1,2]=>[2,1]=>[1,2]
[2,1]=>[2,1]=>[1,2]=>[1,2]
[1,2,3]=>[1,2,3]=>[3,2,1]=>[1,2,3]
[1,3,2]=>[1,3,2]=>[2,3,1]=>[1,2,3]
[2,1,3]=>[2,1,3]=>[3,1,2]=>[1,2,3]
[2,3,1]=>[3,1,2]=>[2,1,3]=>[1,3,2]
[3,1,2]=>[2,3,1]=>[1,3,2]=>[1,3,2]
[3,2,1]=>[3,2,1]=>[1,2,3]=>[1,2,3]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[1,2,3,4]
[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]=>[1,2,3,4]
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[1,2,3,4]
[1,3,4,2]=>[1,4,2,3]=>[3,2,4,1]=>[1,2,4,3]
[1,4,2,3]=>[1,3,4,2]=>[2,4,3,1]=>[1,2,4,3]
[1,4,3,2]=>[1,4,3,2]=>[2,3,4,1]=>[1,2,3,4]
[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>[1,2,3,4]
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>[1,2,3,4]
[2,3,1,4]=>[3,1,2,4]=>[4,2,1,3]=>[1,3,2,4]
[2,3,4,1]=>[4,1,2,3]=>[3,2,1,4]=>[1,4,2,3]
[2,4,1,3]=>[3,4,1,2]=>[2,1,4,3]=>[1,4,2,3]
[2,4,3,1]=>[4,3,1,2]=>[2,1,3,4]=>[1,3,4,2]
[3,1,2,4]=>[2,3,1,4]=>[4,1,3,2]=>[1,3,2,4]
[3,1,4,2]=>[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]
[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]=>[1,2,3,4]
[3,2,4,1]=>[4,1,3,2]=>[2,3,1,4]=>[1,4,2,3]
[3,4,1,2]=>[2,4,1,3]=>[3,1,4,2]=>[1,4,2,3]
[3,4,2,1]=>[4,2,1,3]=>[3,1,2,4]=>[1,2,4,3]
[4,1,2,3]=>[2,3,4,1]=>[1,4,3,2]=>[1,4,2,3]
[4,1,3,2]=>[3,2,4,1]=>[1,4,2,3]=>[1,4,2,3]
[4,2,1,3]=>[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]
[4,2,3,1]=>[3,1,4,2]=>[2,4,1,3]=>[1,3,2,4]
[4,3,1,2]=>[2,4,3,1]=>[1,3,4,2]=>[1,3,4,2]
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[1,2,3,4,5]
[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[1,2,3,4,5]
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[1,2,3,4,5]
[1,2,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[1,2,3,5,4]
[1,2,5,3,4]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[1,2,3,5,4]
[1,2,5,4,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[1,2,3,4,5]
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[1,2,3,4,5]
[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[1,2,3,4,5]
[1,3,4,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[1,2,4,3,5]
[1,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[1,2,5,3,4]
[1,3,5,2,4]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[1,2,5,3,4]
[1,3,5,4,2]=>[1,5,4,2,3]=>[3,2,4,5,1]=>[1,2,4,5,3]
[1,4,2,3,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[1,2,4,3,5]
[1,4,2,5,3]=>[1,5,3,4,2]=>[2,4,3,5,1]=>[1,2,4,3,5]
[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[1,2,3,4,5]
[1,4,3,5,2]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[1,2,5,3,4]
[1,4,5,2,3]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[1,2,5,3,4]
[1,4,5,3,2]=>[1,5,3,2,4]=>[4,2,3,5,1]=>[1,2,3,5,4]
[1,5,2,3,4]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[1,2,5,3,4]
[1,5,2,4,3]=>[1,4,3,5,2]=>[2,5,3,4,1]=>[1,2,5,3,4]
[1,5,3,2,4]=>[1,4,5,3,2]=>[2,3,5,4,1]=>[1,2,3,5,4]
[1,5,3,4,2]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[1,2,4,3,5]
[1,5,4,2,3]=>[1,3,5,4,2]=>[2,4,5,3,1]=>[1,2,4,5,3]
[1,5,4,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[1,2,3,4,5]
[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[1,2,3,4,5]
[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[1,2,3,4,5]
[2,1,4,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[1,2,3,4,5]
[2,1,4,5,3]=>[2,1,5,3,4]=>[4,3,5,1,2]=>[1,2,3,5,4]
[2,1,5,3,4]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[1,2,3,5,4]
[2,1,5,4,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[1,2,3,4,5]
[2,3,1,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[1,3,2,4,5]
[2,3,1,5,4]=>[3,1,2,5,4]=>[4,5,2,1,3]=>[1,3,2,4,5]
[2,3,4,1,5]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[1,4,2,3,5]
[2,3,4,5,1]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[1,5,2,3,4]
[2,3,5,1,4]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[1,5,2,3,4]
[2,3,5,4,1]=>[5,4,1,2,3]=>[3,2,1,4,5]=>[1,4,5,2,3]
[2,4,1,3,5]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[1,4,2,3,5]
[2,4,1,5,3]=>[5,3,4,1,2]=>[2,1,4,3,5]=>[1,4,2,3,5]
[2,4,3,1,5]=>[4,3,1,2,5]=>[5,2,1,3,4]=>[1,3,4,2,5]
[2,4,3,5,1]=>[5,1,2,4,3]=>[3,4,2,1,5]=>[1,5,2,3,4]
[2,4,5,1,3]=>[3,5,1,2,4]=>[4,2,1,5,3]=>[1,5,2,3,4]
[2,4,5,3,1]=>[5,3,1,2,4]=>[4,2,1,3,5]=>[1,3,5,2,4]
[2,5,1,3,4]=>[3,4,5,1,2]=>[2,1,5,4,3]=>[1,5,2,3,4]
[2,5,1,4,3]=>[4,3,5,1,2]=>[2,1,5,3,4]=>[1,5,2,3,4]
[2,5,3,1,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[1,3,5,2,4]
[2,5,3,4,1]=>[4,1,2,5,3]=>[3,5,2,1,4]=>[1,4,2,3,5]
[2,5,4,1,3]=>[3,5,4,1,2]=>[2,1,4,5,3]=>[1,4,5,2,3]
[2,5,4,3,1]=>[5,4,3,1,2]=>[2,1,3,4,5]=>[1,3,4,5,2]
[3,1,2,4,5]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[1,3,2,4,5]
[3,1,2,5,4]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[1,3,2,4,5]
[3,1,4,2,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[1,3,2,4,5]
[3,1,4,5,2]=>[5,2,3,1,4]=>[4,1,3,2,5]=>[1,3,2,5,4]
[3,1,5,2,4]=>[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,5,4]
[3,1,5,4,2]=>[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[1,2,3,4,5]
[3,2,1,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[1,2,3,4,5]
[3,2,4,1,5]=>[4,1,3,2,5]=>[5,2,3,1,4]=>[1,4,2,3,5]
[3,2,4,5,1]=>[5,1,3,2,4]=>[4,2,3,1,5]=>[1,5,2,3,4]
[3,2,5,1,4]=>[4,5,1,3,2]=>[2,3,1,5,4]=>[1,5,2,3,4]
[3,2,5,4,1]=>[5,4,1,3,2]=>[2,3,1,4,5]=>[1,4,5,2,3]
[3,4,1,2,5]=>[2,4,1,3,5]=>[5,3,1,4,2]=>[1,4,2,3,5]
[3,4,1,5,2]=>[5,2,4,1,3]=>[3,1,4,2,5]=>[1,4,2,5,3]
[3,4,2,1,5]=>[4,2,1,3,5]=>[5,3,1,2,4]=>[1,2,4,3,5]
[3,4,2,5,1]=>[5,1,4,2,3]=>[3,2,4,1,5]=>[1,5,2,4,3]
[3,4,5,1,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>[1,5,2,3,4]
[3,4,5,2,1]=>[5,2,1,3,4]=>[4,3,1,2,5]=>[1,2,5,3,4]
[3,5,1,2,4]=>[2,4,5,1,3]=>[3,1,5,4,2]=>[1,5,2,3,4]
[3,5,1,4,2]=>[4,2,5,1,3]=>[3,1,5,2,4]=>[1,5,2,4,3]
[3,5,2,1,4]=>[4,5,2,1,3]=>[3,1,2,5,4]=>[1,2,5,3,4]
[3,5,2,4,1]=>[4,1,5,2,3]=>[3,2,5,1,4]=>[1,4,2,5,3]
[3,5,4,1,2]=>[2,5,4,1,3]=>[3,1,4,5,2]=>[1,4,5,2,3]
[3,5,4,2,1]=>[5,4,2,1,3]=>[3,1,2,4,5]=>[1,2,4,5,3]
[4,1,2,3,5]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[1,4,2,3,5]
[4,1,2,5,3]=>[2,5,3,4,1]=>[1,4,3,5,2]=>[1,4,2,3,5]
[4,1,3,2,5]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[1,4,2,3,5]
[4,1,3,5,2]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,2,5,3]
[4,1,5,2,3]=>[3,5,2,4,1]=>[1,4,2,5,3]=>[1,4,2,5,3]
[4,1,5,3,2]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[1,4,2,3,5]
[4,2,1,3,5]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[1,2,4,3,5]
[4,2,1,5,3]=>[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[4,2,3,1,5]=>[3,1,4,2,5]=>[5,2,4,1,3]=>[1,3,2,4,5]
[4,2,3,5,1]=>[5,1,3,4,2]=>[2,4,3,1,5]=>[1,5,2,4,3]
[4,2,5,1,3]=>[3,5,1,4,2]=>[2,4,1,5,3]=>[1,5,2,4,3]
[4,2,5,3,1]=>[5,3,1,4,2]=>[2,4,1,3,5]=>[1,3,5,2,4]
[4,3,1,2,5]=>[2,4,3,1,5]=>[5,1,3,4,2]=>[1,3,4,2,5]
[4,3,1,5,2]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[1,3,4,2,5]
[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[1,2,3,4,5]
[4,3,2,5,1]=>[5,1,4,3,2]=>[2,3,4,1,5]=>[1,5,2,3,4]
[4,3,5,1,2]=>[2,5,1,4,3]=>[3,4,1,5,2]=>[1,5,2,3,4]
[4,3,5,2,1]=>[5,2,1,4,3]=>[3,4,1,2,5]=>[1,2,5,3,4]
[4,5,1,2,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>[1,5,2,3,4]
[4,5,1,3,2]=>[3,2,5,1,4]=>[4,1,5,2,3]=>[1,5,2,3,4]
[4,5,2,1,3]=>[3,5,2,1,4]=>[4,1,2,5,3]=>[1,2,5,3,4]
[4,5,2,3,1]=>[3,1,5,2,4]=>[4,2,5,1,3]=>[1,3,2,5,4]
[4,5,3,1,2]=>[2,5,3,1,4]=>[4,1,3,5,2]=>[1,3,5,2,4]
[4,5,3,2,1]=>[5,3,2,1,4]=>[4,1,2,3,5]=>[1,2,3,5,4]
[5,1,2,3,4]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,2,3,4]
[5,1,2,4,3]=>[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,2,3,4]
[5,1,3,2,4]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[1,5,2,3,4]
[5,1,3,4,2]=>[4,2,3,5,1]=>[1,5,3,2,4]=>[1,5,2,4,3]
[5,1,4,2,3]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[1,5,2,4,3]
[5,1,4,3,2]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]
[5,2,1,3,4]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,3,4]
[5,2,1,4,3]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[5,2,3,1,4]=>[3,1,4,5,2]=>[2,5,4,1,3]=>[1,3,2,5,4]
[5,2,3,4,1]=>[4,1,3,5,2]=>[2,5,3,1,4]=>[1,4,2,5,3]
[5,2,4,1,3]=>[3,4,1,5,2]=>[2,5,1,4,3]=>[1,4,2,5,3]
[5,2,4,3,1]=>[4,3,1,5,2]=>[2,5,1,3,4]=>[1,3,4,2,5]
[5,3,1,2,4]=>[2,4,5,3,1]=>[1,3,5,4,2]=>[1,3,5,2,4]
[5,3,1,4,2]=>[4,2,5,3,1]=>[1,3,5,2,4]=>[1,3,5,2,4]
[5,3,2,1,4]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[5,3,2,4,1]=>[4,1,5,3,2]=>[2,3,5,1,4]=>[1,4,2,3,5]
[5,3,4,1,2]=>[2,4,1,5,3]=>[3,5,1,4,2]=>[1,4,2,3,5]
[5,3,4,2,1]=>[4,2,1,5,3]=>[3,5,1,2,4]=>[1,2,4,3,5]
[5,4,1,2,3]=>[2,3,5,4,1]=>[1,4,5,3,2]=>[1,4,5,2,3]
[5,4,1,3,2]=>[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3]
[5,4,2,1,3]=>[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,4,5,3]
[5,4,2,3,1]=>[3,1,5,4,2]=>[2,4,5,1,3]=>[1,3,2,4,5]
[5,4,3,1,2]=>[2,5,4,3,1]=>[1,3,4,5,2]=>[1,3,4,5,2]
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[1,2,3,4,5,6]
[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[1,2,3,4,6,5]
[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[1,2,3,4,6,5]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[1,2,3,4,5,6]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,2,3,4,5,6]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[1,2,3,4,5,6]
[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[1,2,3,5,4,6]
[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[1,2,3,6,4,5]
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[1,2,3,6,4,5]
[1,2,4,6,5,3]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[1,2,3,5,6,4]
[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[1,2,3,5,4,6]
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[1,2,3,5,4,6]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[1,2,3,4,5,6]
[1,2,5,4,6,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[1,2,3,6,4,5]
[1,2,5,6,3,4]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[1,2,3,6,4,5]
[1,2,5,6,4,3]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[1,2,3,4,6,5]
[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[1,2,3,6,4,5]
[1,2,6,3,5,4]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[1,2,3,6,4,5]
[1,2,6,4,3,5]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[1,2,3,4,6,5]
[1,2,6,4,5,3]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[1,2,3,5,4,6]
[1,2,6,5,3,4]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[1,2,3,5,6,4]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[1,2,3,4,5,6]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[1,2,3,4,5,6]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[1,2,3,4,5,6]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,2,3,4,5,6]
[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[1,2,3,4,6,5]
[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[1,2,3,4,6,5]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[1,2,3,4,5,6]
[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[1,2,4,3,5,6]
[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[1,2,4,3,5,6]
[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[1,2,5,3,4,6]
[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[1,2,6,3,4,5]
[1,3,4,6,2,5]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[1,2,6,3,4,5]
[1,3,4,6,5,2]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[1,2,5,6,3,4]
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,2,5,3,4,6]
[1,3,5,2,6,4]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[1,2,5,3,4,6]
[1,3,5,4,2,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[1,2,4,5,3,6]
[1,3,5,4,6,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[1,2,6,3,4,5]
[1,3,5,6,2,4]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[1,2,6,3,4,5]
[1,3,5,6,4,2]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[1,2,4,6,3,5]
[1,3,6,2,4,5]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[1,2,6,3,4,5]
[1,3,6,2,5,4]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[1,2,6,3,4,5]
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[1,2,4,6,3,5]
[1,3,6,4,5,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[1,2,5,3,4,6]
[1,3,6,5,2,4]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[1,2,5,6,3,4]
[1,3,6,5,4,2]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[1,2,4,5,6,3]
[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[1,2,4,3,5,6]
[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[1,2,4,3,5,6]
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,2,4,3,5,6]
[1,4,2,5,6,3]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[1,2,4,3,6,5]
[1,4,2,6,3,5]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]
[1,4,2,6,5,3]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[1,2,3,4,5,6]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[1,2,3,4,5,6]
[1,4,3,5,2,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[1,2,5,3,4,6]
[1,4,3,5,6,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[1,2,6,3,4,5]
[1,4,3,6,2,5]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[1,2,6,3,4,5]
[1,4,3,6,5,2]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[1,2,5,6,3,4]
[1,4,5,2,3,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,2,5,3,4,6]
[1,4,5,2,6,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[1,2,5,3,6,4]
[1,4,5,3,2,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[1,2,3,5,4,6]
[1,4,5,3,6,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[1,2,6,3,5,4]
[1,4,5,6,2,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[1,2,6,3,4,5]
[1,4,5,6,3,2]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[1,2,3,6,4,5]
[1,4,6,2,3,5]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[1,2,6,3,4,5]
[1,4,6,2,5,3]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[1,2,6,3,5,4]
[1,4,6,3,2,5]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[1,2,3,6,4,5]
[1,4,6,3,5,2]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[1,2,5,3,6,4]
[1,4,6,5,2,3]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[1,2,5,6,3,4]
[1,4,6,5,3,2]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[1,2,3,5,6,4]
[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[1,2,5,3,4,6]
[1,5,2,3,6,4]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]
[1,5,2,4,3,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[1,2,5,3,4,6]
[1,5,2,4,6,3]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[1,2,5,3,6,4]
[1,5,2,6,3,4]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[1,2,5,3,6,4]
[1,5,2,6,4,3]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[1,2,5,3,4,6]
[1,5,3,2,4,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[1,2,3,5,4,6]
[1,5,3,2,6,4]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]
[1,5,3,4,2,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,2,4,3,5,6]
[1,5,3,4,6,2]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[1,2,6,3,5,4]
[1,5,3,6,2,4]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[1,2,6,3,5,4]
[1,5,3,6,4,2]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[1,2,4,6,3,5]
[1,5,4,2,3,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[1,2,4,5,3,6]
[1,5,4,2,6,3]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[1,2,4,5,3,6]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,2,3,4,5,6]
[1,5,4,3,6,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[1,2,6,3,4,5]
[1,5,4,6,2,3]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[1,2,6,3,4,5]
[1,5,4,6,3,2]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[1,2,3,6,4,5]
[1,5,6,2,3,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[1,2,6,3,4,5]
[1,5,6,2,4,3]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[1,2,6,3,4,5]
[1,5,6,3,2,4]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[1,2,3,6,4,5]
[1,5,6,3,4,2]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[1,2,4,3,6,5]
[1,5,6,4,2,3]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[1,2,4,6,3,5]
[1,5,6,4,3,2]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[1,2,3,4,6,5]
[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[1,2,6,3,4,5]
[1,6,2,3,5,4]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[1,2,6,3,4,5]
[1,6,2,4,3,5]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[1,2,6,3,4,5]
[1,6,2,4,5,3]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[1,2,6,3,5,4]
[1,6,2,5,3,4]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[1,2,6,3,5,4]
[1,6,2,5,4,3]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[1,2,6,3,4,5]
[1,6,3,2,4,5]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]
[1,6,3,2,5,4]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[1,2,3,6,4,5]
[1,6,3,4,2,5]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[1,2,4,3,6,5]
[1,6,3,4,5,2]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[1,2,5,3,6,4]
[1,6,3,5,2,4]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[1,2,5,3,6,4]
[1,6,3,5,4,2]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[1,2,4,5,3,6]
[1,6,4,2,3,5]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[1,2,4,6,3,5]
[1,6,4,2,5,3]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[1,2,4,6,3,5]
[1,6,4,3,2,5]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]
[1,6,4,3,5,2]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[1,2,5,3,4,6]
[1,6,4,5,2,3]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[1,2,5,3,4,6]
[1,6,4,5,3,2]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[1,2,3,5,4,6]
[1,6,5,2,3,4]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[1,2,5,6,3,4]
[1,6,5,2,4,3]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[1,2,5,6,3,4]
[1,6,5,3,2,4]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[1,2,3,5,6,4]
[1,6,5,3,4,2]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[1,2,4,3,5,6]
[1,6,5,4,2,3]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[1,2,4,5,6,3]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[1,2,3,4,5,6]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[1,2,3,4,5,6]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[1,2,3,4,5,6]
[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[1,2,3,4,6,5]
[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[1,2,3,4,6,5]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[1,2,3,4,5,6]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[1,2,3,4,5,6]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[1,2,3,4,5,6]
[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[1,2,3,5,4,6]
[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[1,2,3,6,4,5]
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[1,2,3,6,4,5]
[2,1,4,6,5,3]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[1,2,3,5,6,4]
[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[1,2,3,5,4,6]
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[1,2,3,5,4,6]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[1,2,3,4,5,6]
[2,1,5,4,6,3]=>[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[1,2,3,6,4,5]
[2,1,5,6,3,4]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[1,2,3,6,4,5]
[2,1,5,6,4,3]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[1,2,3,4,6,5]
[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[1,2,3,6,4,5]
[2,1,6,3,5,4]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[1,2,3,6,4,5]
[2,1,6,4,3,5]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[1,2,3,4,6,5]
[2,1,6,4,5,3]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[1,2,3,5,4,6]
[2,1,6,5,3,4]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[1,2,3,5,6,4]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[1,2,3,4,5,6]
[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[1,3,2,4,5,6]
[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[1,3,2,4,5,6]
[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[1,3,2,4,5,6]
[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[1,3,2,4,6,5]
[2,3,1,6,4,5]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[1,3,2,4,6,5]
[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[1,3,2,4,5,6]
[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[1,4,2,3,5,6]
[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[1,4,2,3,5,6]
[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[1,5,2,3,4,6]
[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[1,6,2,3,4,5]
[2,3,4,6,1,5]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[1,6,2,3,4,5]
[2,3,4,6,5,1]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[1,5,6,2,3,4]
[2,3,5,1,4,6]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[1,5,2,3,4,6]
[2,3,5,1,6,4]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[1,5,2,3,4,6]
[2,3,5,4,1,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[1,4,5,2,3,6]
[2,3,5,4,6,1]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[1,6,2,3,4,5]
[2,3,5,6,1,4]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[1,6,2,3,4,5]
[2,3,5,6,4,1]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[1,4,6,2,3,5]
[2,3,6,1,4,5]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[1,6,2,3,4,5]
[2,3,6,1,5,4]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[1,6,2,3,4,5]
[2,3,6,4,1,5]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[1,4,6,2,3,5]
[2,3,6,4,5,1]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[1,5,2,3,4,6]
[2,3,6,5,1,4]=>[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[1,5,6,2,3,4]
[2,3,6,5,4,1]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[1,4,5,6,2,3]
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[1,4,2,3,5,6]
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[1,4,2,3,5,6]
[2,4,1,5,3,6]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[1,4,2,3,5,6]
[2,4,1,5,6,3]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[1,4,2,3,6,5]
[2,4,1,6,3,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[1,4,2,3,6,5]
[2,4,1,6,5,3]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[1,4,2,3,5,6]
[2,4,3,1,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[1,3,4,2,5,6]
[2,4,3,1,6,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[1,3,4,2,5,6]
[2,4,3,5,1,6]=>[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[1,5,2,3,4,6]
[2,4,3,5,6,1]=>[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[1,6,2,3,4,5]
[2,4,3,6,1,5]=>[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[1,6,2,3,4,5]
[2,4,3,6,5,1]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[1,5,6,2,3,4]
[2,4,5,1,3,6]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[1,5,2,3,4,6]
[2,4,5,1,6,3]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[1,5,2,3,6,4]
[2,4,5,3,1,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[1,3,5,2,4,6]
[2,4,5,3,6,1]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[1,6,2,3,5,4]
[2,4,5,6,1,3]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[1,6,2,3,4,5]
[2,4,5,6,3,1]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[1,3,6,2,4,5]
[2,4,6,1,3,5]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[1,6,2,3,4,5]
[2,4,6,1,5,3]=>[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[1,6,2,3,5,4]
[2,4,6,3,1,5]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[1,3,6,2,4,5]
[2,4,6,3,5,1]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[1,5,2,3,6,4]
[2,4,6,5,1,3]=>[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[1,5,6,2,3,4]
[2,4,6,5,3,1]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[1,3,5,6,2,4]
[2,5,1,3,4,6]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[1,5,2,3,4,6]
[2,5,1,3,6,4]=>[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[1,5,2,3,4,6]
[2,5,1,4,3,6]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[1,5,2,3,4,6]
[2,5,1,4,6,3]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[1,5,2,3,6,4]
[2,5,1,6,3,4]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[1,5,2,3,6,4]
[2,5,1,6,4,3]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[1,5,2,3,4,6]
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[1,3,5,2,4,6]
[2,5,3,1,6,4]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[1,3,5,2,4,6]
[2,5,3,4,1,6]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[1,4,2,3,5,6]
[2,5,3,4,6,1]=>[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[1,6,2,3,5,4]
[2,5,3,6,1,4]=>[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[1,6,2,3,5,4]
[2,5,3,6,4,1]=>[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[1,4,6,2,3,5]
[2,5,4,1,3,6]=>[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[1,4,5,2,3,6]
[2,5,4,1,6,3]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[1,4,5,2,3,6]
[2,5,4,3,1,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[1,3,4,5,2,6]
[2,5,4,3,6,1]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[1,6,2,3,4,5]
[2,5,4,6,1,3]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[1,6,2,3,4,5]
[2,5,4,6,3,1]=>[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[1,3,6,2,4,5]
[2,5,6,1,3,4]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[1,6,2,3,4,5]
[2,5,6,1,4,3]=>[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[1,6,2,3,4,5]
[2,5,6,3,1,4]=>[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[1,3,6,2,4,5]
[2,5,6,3,4,1]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[1,4,2,3,6,5]
[2,5,6,4,1,3]=>[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[1,4,6,2,3,5]
[2,5,6,4,3,1]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[1,3,4,6,2,5]
[2,6,1,3,4,5]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[1,6,2,3,4,5]
[2,6,1,3,5,4]=>[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[1,6,2,3,4,5]
[2,6,1,4,3,5]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[1,6,2,3,4,5]
[2,6,1,4,5,3]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[1,6,2,3,5,4]
[2,6,1,5,3,4]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[1,6,2,3,5,4]
[2,6,1,5,4,3]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[1,6,2,3,4,5]
[2,6,3,1,4,5]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[1,3,6,2,4,5]
[2,6,3,1,5,4]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[1,3,6,2,4,5]
[2,6,3,4,1,5]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[1,4,2,3,6,5]
[2,6,3,4,5,1]=>[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[1,5,2,3,6,4]
[2,6,3,5,1,4]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[1,5,2,3,6,4]
[2,6,3,5,4,1]=>[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[1,4,5,2,3,6]
[2,6,4,1,3,5]=>[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[1,4,6,2,3,5]
[2,6,4,1,5,3]=>[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[1,4,6,2,3,5]
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[1,3,4,6,2,5]
[2,6,4,3,5,1]=>[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[1,5,2,3,4,6]
[2,6,4,5,1,3]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[1,5,2,3,4,6]
[2,6,4,5,3,1]=>[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[1,3,5,2,4,6]
[2,6,5,1,3,4]=>[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[1,5,6,2,3,4]
[2,6,5,1,4,3]=>[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[1,5,6,2,3,4]
[2,6,5,3,1,4]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[1,3,5,6,2,4]
[2,6,5,3,4,1]=>[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[1,4,2,3,5,6]
[2,6,5,4,1,3]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[1,4,5,6,2,3]
[2,6,5,4,3,1]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[1,3,4,5,6,2]
[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[1,3,2,4,5,6]
[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[1,3,2,4,5,6]
[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[1,3,2,4,5,6]
[3,1,2,5,6,4]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[1,3,2,4,6,5]
[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[1,3,2,4,6,5]
[3,1,2,6,5,4]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[1,3,2,4,5,6]
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[1,3,2,4,5,6]
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[1,3,2,4,5,6]
[3,1,4,5,2,6]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[1,3,2,5,4,6]
[3,1,4,5,6,2]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[1,3,2,6,4,5]
[3,1,4,6,2,5]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[1,3,2,6,4,5]
[3,1,4,6,5,2]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[1,3,2,5,6,4]
[3,1,5,2,4,6]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[1,3,2,5,4,6]
[3,1,5,2,6,4]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[3,1,5,4,2,6]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,3,2,4,5,6]
[3,1,5,4,6,2]=>[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[1,3,2,6,4,5]
[3,1,5,6,2,4]=>[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[1,3,2,6,4,5]
[3,1,5,6,4,2]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[1,3,2,4,6,5]
[3,1,6,2,4,5]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5]
[3,1,6,2,5,4]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[3,1,6,4,2,5]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[3,1,6,4,5,2]=>[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[1,3,2,5,4,6]
[3,1,6,5,2,4]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,3,2,5,6,4]
[3,1,6,5,4,2]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[1,2,3,4,5,6]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[1,2,3,4,5,6]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[1,2,3,4,5,6]
[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[1,2,3,4,6,5]
[3,2,1,6,4,5]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[1,2,3,4,6,5]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[1,2,3,4,5,6]
[3,2,4,1,5,6]=>[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[1,4,2,3,5,6]
[3,2,4,1,6,5]=>[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[1,4,2,3,5,6]
[3,2,4,5,1,6]=>[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[1,5,2,3,4,6]
[3,2,4,5,6,1]=>[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[1,6,2,3,4,5]
[3,2,4,6,1,5]=>[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[1,6,2,3,4,5]
[3,2,4,6,5,1]=>[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[1,5,6,2,3,4]
[3,2,5,1,4,6]=>[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[1,5,2,3,4,6]
[3,2,5,1,6,4]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[1,5,2,3,4,6]
[3,2,5,4,1,6]=>[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[1,4,5,2,3,6]
[3,2,5,4,6,1]=>[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[1,6,2,3,4,5]
[3,2,5,6,1,4]=>[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[1,6,2,3,4,5]
[3,2,5,6,4,1]=>[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[1,4,6,2,3,5]
[3,2,6,1,4,5]=>[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[1,6,2,3,4,5]
[3,2,6,1,5,4]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[1,6,2,3,4,5]
[3,2,6,4,1,5]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[1,4,6,2,3,5]
[3,2,6,4,5,1]=>[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[1,5,2,3,4,6]
[3,2,6,5,1,4]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[1,5,6,2,3,4]
[3,2,6,5,4,1]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[1,4,5,6,2,3]
[3,4,1,2,5,6]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[1,4,2,3,5,6]
[3,4,1,2,6,5]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[1,4,2,3,5,6]
[3,4,1,5,2,6]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[1,4,2,5,3,6]
[3,4,1,5,6,2]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[1,4,2,6,3,5]
[3,4,1,6,2,5]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[1,4,2,6,3,5]
[3,4,1,6,5,2]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[1,4,2,5,6,3]
[3,4,2,1,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[1,2,4,3,5,6]
[3,4,2,1,6,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[1,2,4,3,5,6]
[3,4,2,5,1,6]=>[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[1,5,2,4,3,6]
[3,4,2,5,6,1]=>[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[1,6,2,4,3,5]
[3,4,2,6,1,5]=>[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[1,6,2,4,3,5]
[3,4,2,6,5,1]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[1,5,6,2,4,3]
[3,4,5,1,2,6]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[1,5,2,3,4,6]
[3,4,5,1,6,2]=>[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[1,5,2,6,3,4]
[3,4,5,2,1,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[1,2,5,3,4,6]
[3,4,5,2,6,1]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[1,6,2,5,3,4]
[3,4,5,6,1,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[1,6,2,3,4,5]
[3,4,5,6,2,1]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[1,2,6,3,4,5]
[3,4,6,1,2,5]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[1,6,2,3,4,5]
[3,4,6,1,5,2]=>[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[1,6,2,5,3,4]
[3,4,6,2,1,5]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[1,2,6,3,4,5]
[3,4,6,2,5,1]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[1,5,2,6,3,4]
[3,4,6,5,1,2]=>[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[1,5,6,2,3,4]
[3,4,6,5,2,1]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[1,2,5,6,3,4]
[3,5,1,2,4,6]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[1,5,2,3,4,6]
[3,5,1,2,6,4]=>[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[1,5,2,3,4,6]
[3,5,1,4,2,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[1,5,2,4,3,6]
[3,5,1,4,6,2]=>[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[1,5,2,6,3,4]
[3,5,1,6,2,4]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[1,5,2,6,3,4]
[3,5,1,6,4,2]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[1,5,2,4,6,3]
[3,5,2,1,4,6]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[1,2,5,3,4,6]
[3,5,2,1,6,4]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[1,2,5,3,4,6]
[3,5,2,4,1,6]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[1,4,2,5,3,6]
[3,5,2,4,6,1]=>[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[1,6,2,5,3,4]
[3,5,2,6,1,4]=>[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[1,6,2,5,3,4]
[3,5,2,6,4,1]=>[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[1,4,6,2,5,3]
[3,5,4,1,2,6]=>[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[1,4,5,2,3,6]
[3,5,4,1,6,2]=>[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[1,4,5,2,6,3]
[3,5,4,2,1,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[1,2,4,5,3,6]
[3,5,4,2,6,1]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[1,6,2,4,5,3]
[3,5,4,6,1,2]=>[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[1,6,2,3,4,5]
[3,5,4,6,2,1]=>[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[1,2,6,3,4,5]
[3,5,6,1,2,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[1,6,2,3,4,5]
[3,5,6,1,4,2]=>[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[1,6,2,4,3,5]
[3,5,6,2,1,4]=>[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[1,2,6,3,4,5]
[3,5,6,2,4,1]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[1,4,2,6,3,5]
[3,5,6,4,1,2]=>[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[1,4,6,2,3,5]
[3,5,6,4,2,1]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[1,2,4,6,3,5]
[3,6,1,2,4,5]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[1,6,2,3,4,5]
[3,6,1,2,5,4]=>[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[1,6,2,3,4,5]
[3,6,1,4,2,5]=>[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[1,6,2,4,3,5]
[3,6,1,4,5,2]=>[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[1,6,2,5,3,4]
[3,6,1,5,2,4]=>[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[1,6,2,5,3,4]
[3,6,1,5,4,2]=>[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[1,6,2,4,5,3]
[3,6,2,1,4,5]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[1,2,6,3,4,5]
[3,6,2,1,5,4]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[1,2,6,3,4,5]
[3,6,2,4,1,5]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[1,4,2,6,3,5]
[3,6,2,4,5,1]=>[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[1,5,2,6,3,4]
[3,6,2,5,1,4]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[1,5,2,6,3,4]
[3,6,2,5,4,1]=>[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[1,4,5,2,6,3]
[3,6,4,1,2,5]=>[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[1,4,6,2,3,5]
[3,6,4,1,5,2]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[1,4,6,2,5,3]
[3,6,4,2,1,5]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[1,2,4,6,3,5]
[3,6,4,2,5,1]=>[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[1,5,2,4,6,3]
[3,6,4,5,1,2]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[1,5,2,3,4,6]
[3,6,4,5,2,1]=>[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[1,2,5,3,4,6]
[3,6,5,1,2,4]=>[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[1,5,6,2,3,4]
[3,6,5,1,4,2]=>[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[1,5,6,2,4,3]
[3,6,5,2,1,4]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[1,2,5,6,3,4]
[3,6,5,2,4,1]=>[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[1,4,2,5,6,3]
[3,6,5,4,1,2]=>[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[1,4,5,6,2,3]
[3,6,5,4,2,1]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[1,2,4,5,6,3]
[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[1,4,2,3,5,6]
[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[1,4,2,3,5,6]
[4,1,2,5,3,6]=>[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[1,4,2,3,5,6]
[4,1,2,5,6,3]=>[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[1,4,2,3,6,5]
[4,1,2,6,3,5]=>[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,4,2,3,6,5]
[4,1,2,6,5,3]=>[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,4,2,3,5,6]
[4,1,3,2,5,6]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[1,4,2,3,5,6]
[4,1,3,2,6,5]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[1,4,2,3,5,6]
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,4,2,5,3,6]
[4,1,3,5,6,2]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[1,4,2,6,3,5]
[4,1,3,6,2,5]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,4,2,6,3,5]
[4,1,3,6,5,2]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,4,2,5,6,3]
[4,1,5,2,3,6]=>[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[1,4,2,5,3,6]
[4,1,5,2,6,3]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,4,2,5,3,6]
[4,1,5,3,2,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,4,2,3,5,6]
[4,1,5,3,6,2]=>[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,4,2,6,3,5]
[4,1,5,6,2,3]=>[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[1,4,2,6,3,5]
[4,1,5,6,3,2]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[1,4,2,3,6,5]
[4,1,6,2,3,5]=>[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,4,2,6,3,5]
[4,1,6,2,5,3]=>[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,4,2,6,3,5]
[4,1,6,3,2,5]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]
[4,1,6,3,5,2]=>[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,4,2,5,3,6]
[4,1,6,5,2,3]=>[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,4,2,5,6,3]
[4,1,6,5,3,2]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[4,2,1,3,5,6]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[1,2,4,3,5,6]
[4,2,1,3,6,5]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[1,2,4,3,5,6]
[4,2,1,5,3,6]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,2,4,3,5,6]
[4,2,1,5,6,3]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[1,2,4,3,6,5]
[4,2,1,6,3,5]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]
[4,2,1,6,5,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[4,2,3,1,5,6]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[1,3,2,4,5,6]
[4,2,3,1,6,5]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[1,3,2,4,5,6]
[4,2,3,5,1,6]=>[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[1,5,2,4,3,6]
[4,2,3,5,6,1]=>[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[1,6,2,4,3,5]
[4,2,3,6,1,5]=>[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[1,6,2,4,3,5]
[4,2,3,6,5,1]=>[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[1,5,6,2,4,3]
[4,2,5,1,3,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[1,5,2,4,3,6]
[4,2,5,1,6,3]=>[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[1,5,2,4,3,6]
[4,2,5,3,1,6]=>[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[1,3,5,2,4,6]
[4,2,5,3,6,1]=>[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[1,6,2,4,3,5]
[4,2,5,6,1,3]=>[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[1,6,2,4,3,5]
[4,2,5,6,3,1]=>[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[1,3,6,2,4,5]
[4,2,6,1,3,5]=>[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[1,6,2,4,3,5]
[4,2,6,1,5,3]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[1,6,2,4,3,5]
[4,2,6,3,1,5]=>[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[1,3,6,2,4,5]
[4,2,6,3,5,1]=>[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[1,5,2,4,3,6]
[4,2,6,5,1,3]=>[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[1,5,6,2,4,3]
[4,2,6,5,3,1]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[1,3,5,6,2,4]
[4,3,1,2,5,6]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[1,3,4,2,5,6]
[4,3,1,2,6,5]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[1,3,4,2,5,6]
[4,3,1,5,2,6]=>[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,3,4,2,5,6]
[4,3,1,5,6,2]=>[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[1,3,4,2,6,5]
[4,3,1,6,2,5]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,3,4,2,6,5]
[4,3,1,6,5,2]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,3,4,2,5,6]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[1,2,3,4,5,6]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[1,2,3,4,5,6]
[4,3,2,5,1,6]=>[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[1,5,2,3,4,6]
[4,3,2,5,6,1]=>[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[1,6,2,3,4,5]
[4,3,2,6,1,5]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[1,6,2,3,4,5]
[4,3,2,6,5,1]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[1,5,6,2,3,4]
[4,3,5,1,2,6]=>[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[1,5,2,3,4,6]
[4,3,5,1,6,2]=>[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[1,5,2,6,3,4]
[4,3,5,2,1,6]=>[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[1,2,5,3,4,6]
[4,3,5,2,6,1]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[1,6,2,5,3,4]
[4,3,5,6,1,2]=>[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[1,6,2,3,4,5]
[4,3,5,6,2,1]=>[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[1,2,6,3,4,5]
[4,3,6,1,2,5]=>[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[1,6,2,3,4,5]
[4,3,6,1,5,2]=>[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[1,6,2,5,3,4]
[4,3,6,2,1,5]=>[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[1,2,6,3,4,5]
[4,3,6,2,5,1]=>[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[1,5,2,6,3,4]
[4,3,6,5,1,2]=>[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[1,5,6,2,3,4]
[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[1,2,5,6,3,4]
[4,5,1,2,3,6]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[1,5,2,3,4,6]
[4,5,1,2,6,3]=>[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[1,5,2,3,6,4]
[4,5,1,3,2,6]=>[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[1,5,2,3,4,6]
[4,5,1,3,6,2]=>[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[1,5,2,6,3,4]
[4,5,1,6,2,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[1,5,2,6,3,4]
[4,5,1,6,3,2]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[1,5,2,3,6,4]
[4,5,2,1,3,6]=>[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[1,2,5,3,4,6]
[4,5,2,1,6,3]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[1,2,5,3,6,4]
[4,5,2,3,1,6]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[1,3,2,5,4,6]
[4,5,2,3,6,1]=>[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[1,6,2,5,3,4]
[4,5,2,6,1,3]=>[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[1,6,2,5,3,4]
[4,5,2,6,3,1]=>[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[1,3,6,2,5,4]
[4,5,3,1,2,6]=>[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[1,3,5,2,4,6]
[4,5,3,1,6,2]=>[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[1,3,5,2,6,4]
[4,5,3,2,1,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[1,2,3,5,4,6]
[4,5,3,2,6,1]=>[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[1,6,2,3,5,4]
[4,5,3,6,1,2]=>[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[1,6,2,3,5,4]
[4,5,3,6,2,1]=>[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[1,2,6,3,5,4]
[4,5,6,1,2,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[1,6,2,3,4,5]
[4,5,6,1,3,2]=>[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[1,6,2,3,4,5]
[4,5,6,2,1,3]=>[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[1,2,6,3,4,5]
[4,5,6,2,3,1]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[1,3,2,6,4,5]
[4,5,6,3,1,2]=>[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[1,3,6,2,4,5]
[4,5,6,3,2,1]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[1,2,3,6,4,5]
[4,6,1,2,3,5]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[1,6,2,3,4,5]
[4,6,1,2,5,3]=>[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[1,6,2,3,5,4]
[4,6,1,3,2,5]=>[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[1,6,2,3,4,5]
[4,6,1,3,5,2]=>[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[1,6,2,5,3,4]
[4,6,1,5,2,3]=>[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[1,6,2,5,3,4]
[4,6,1,5,3,2]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[1,6,2,3,5,4]
[4,6,2,1,3,5]=>[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[1,2,6,3,4,5]
[4,6,2,1,5,3]=>[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[1,2,6,3,5,4]
[4,6,2,3,1,5]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[1,3,2,6,4,5]
[4,6,2,3,5,1]=>[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[1,5,2,6,3,4]
[4,6,2,5,1,3]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[1,5,2,6,3,4]
[4,6,2,5,3,1]=>[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[1,3,5,2,6,4]
[4,6,3,1,2,5]=>[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[1,3,6,2,4,5]
[4,6,3,1,5,2]=>[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[1,3,6,2,5,4]
[4,6,3,2,1,5]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[1,2,3,6,4,5]
[4,6,3,2,5,1]=>[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[1,5,2,3,6,4]
[4,6,3,5,1,2]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[1,5,2,3,6,4]
[4,6,3,5,2,1]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[1,2,5,3,6,4]
[4,6,5,1,2,3]=>[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[1,5,6,2,3,4]
[4,6,5,1,3,2]=>[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[1,5,6,2,3,4]
[4,6,5,2,1,3]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[1,2,5,6,3,4]
[4,6,5,2,3,1]=>[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[1,3,2,5,6,4]
[4,6,5,3,1,2]=>[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[1,3,5,6,2,4]
[4,6,5,3,2,1]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[1,2,3,5,6,4]
[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[1,5,2,3,4,6]
[5,1,2,3,6,4]=>[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,5,2,3,4,6]
[5,1,2,4,3,6]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[1,5,2,3,4,6]
[5,1,2,4,6,3]=>[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,5,2,3,6,4]
[5,1,2,6,3,4]=>[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,5,2,3,6,4]
[5,1,2,6,4,3]=>[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,5,2,3,4,6]
[5,1,3,2,4,6]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,5,2,3,4,6]
[5,1,3,2,6,4]=>[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,5,2,3,4,6]
[5,1,3,4,2,6]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,5,2,4,3,6]
[5,1,3,4,6,2]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,2,6,3,4]
[5,1,3,6,2,4]=>[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,5,2,6,3,4]
[5,1,3,6,4,2]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,5,2,4,6,3]
[5,1,4,2,3,6]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[1,5,2,4,3,6]
[5,1,4,2,6,3]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,5,2,4,3,6]
[5,1,4,3,2,6]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,5,2,3,4,6]
[5,1,4,3,6,2]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,5,2,6,3,4]
[5,1,4,6,2,3]=>[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,5,2,6,3,4]
[5,1,4,6,3,2]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,5,2,3,6,4]
[5,1,6,2,3,4]=>[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,5,2,6,3,4]
[5,1,6,2,4,3]=>[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,5,2,6,3,4]
[5,1,6,3,2,4]=>[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,5,2,3,6,4]
[5,1,6,3,4,2]=>[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,5,2,4,3,6]
[5,1,6,4,2,3]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,5,2,4,6,3]
[5,1,6,4,3,2]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]
[5,2,1,3,4,6]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[1,2,5,3,4,6]
[5,2,1,3,6,4]=>[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,2,5,3,4,6]
[5,2,1,4,3,6]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,2,5,3,4,6]
[5,2,1,4,6,3]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,5,3,6,4]
[5,2,1,6,3,4]=>[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,2,5,3,6,4]
[5,2,1,6,4,3]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[5,2,3,1,4,6]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[1,3,2,5,4,6]
[5,2,3,1,6,4]=>[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[1,3,2,5,4,6]
[5,2,3,4,1,6]=>[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[1,4,2,5,3,6]
[5,2,3,4,6,1]=>[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[1,6,2,5,3,4]
[5,2,3,6,1,4]=>[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[1,6,2,5,3,4]
[5,2,3,6,4,1]=>[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[1,4,6,2,5,3]
[5,2,4,1,3,6]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[1,4,2,5,3,6]
[5,2,4,1,6,3]=>[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[1,4,2,5,3,6]
[5,2,4,3,1,6]=>[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[1,3,4,2,5,6]
[5,2,4,3,6,1]=>[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[1,6,2,5,3,4]
[5,2,4,6,1,3]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[1,6,2,5,3,4]
[5,2,4,6,3,1]=>[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[1,3,6,2,5,4]
[5,2,6,1,3,4]=>[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[1,6,2,5,3,4]
[5,2,6,1,4,3]=>[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[1,6,2,5,3,4]
[5,2,6,3,1,4]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[1,3,6,2,5,4]
[5,2,6,3,4,1]=>[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[1,4,2,5,3,6]
[5,2,6,4,1,3]=>[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[1,4,6,2,5,3]
[5,2,6,4,3,1]=>[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[1,3,4,6,2,5]
[5,3,1,2,4,6]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[1,3,5,2,4,6]
[5,3,1,2,6,4]=>[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,3,5,2,4,6]
[5,3,1,4,2,6]=>[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[1,3,5,2,4,6]
[5,3,1,4,6,2]=>[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,3,5,2,6,4]
[5,3,1,6,2,4]=>[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,3,5,2,6,4]
[5,3,1,6,4,2]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,3,5,2,4,6]
[5,3,2,1,4,6]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[1,2,3,5,4,6]
[5,3,2,1,6,4]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[5,3,2,4,1,6]=>[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[1,4,2,3,5,6]
[5,3,2,4,6,1]=>[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[1,6,2,3,5,4]
[5,3,2,6,1,4]=>[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[1,6,2,3,5,4]
[5,3,2,6,4,1]=>[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[1,4,6,2,3,5]
[5,3,4,1,2,6]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[1,4,2,3,5,6]
[5,3,4,1,6,2]=>[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[1,4,2,6,3,5]
[5,3,4,2,1,6]=>[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[1,2,4,3,5,6]
[5,3,4,2,6,1]=>[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[1,6,2,4,3,5]
[5,3,4,6,1,2]=>[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[1,6,2,3,5,4]
[5,3,4,6,2,1]=>[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[1,2,6,3,5,4]
[5,3,6,1,2,4]=>[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[1,6,2,3,5,4]
[5,3,6,1,4,2]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[1,6,2,4,3,5]
[5,3,6,2,1,4]=>[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[1,2,6,3,5,4]
[5,3,6,2,4,1]=>[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[1,4,2,6,3,5]
[5,3,6,4,1,2]=>[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[1,4,6,2,3,5]
[5,3,6,4,2,1]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[1,2,4,6,3,5]
[5,4,1,2,3,6]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[1,4,5,2,3,6]
[5,4,1,2,6,3]=>[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,4,5,2,3,6]
[5,4,1,3,2,6]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[1,4,5,2,3,6]
[5,4,1,3,6,2]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,4,5,2,6,3]
[5,4,1,6,2,3]=>[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,4,5,2,6,3]
[5,4,1,6,3,2]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6]
[5,4,2,1,3,6]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[1,2,4,5,3,6]
[5,4,2,1,6,3]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,2,4,5,3,6]
[5,4,2,3,1,6]=>[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[1,3,2,4,5,6]
[5,4,2,3,6,1]=>[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[1,6,2,4,5,3]
[5,4,2,6,1,3]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[1,6,2,4,5,3]
[5,4,2,6,3,1]=>[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[1,3,6,2,4,5]
[5,4,3,1,2,6]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[1,3,4,5,2,6]
[5,4,3,1,6,2]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,3,4,5,2,6]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,2,3,4,5,6]
[5,4,3,2,6,1]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[1,6,2,3,4,5]
[5,4,3,6,1,2]=>[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[1,6,2,3,4,5]
[5,4,3,6,2,1]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[1,2,6,3,4,5]
[5,4,6,1,2,3]=>[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[1,6,2,3,4,5]
[5,4,6,1,3,2]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[1,6,2,3,4,5]
[5,4,6,2,1,3]=>[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[1,2,6,3,4,5]
[5,4,6,2,3,1]=>[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[1,3,2,6,4,5]
[5,4,6,3,1,2]=>[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[1,3,6,2,4,5]
[5,4,6,3,2,1]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[1,2,3,6,4,5]
[5,6,1,2,3,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[1,6,2,3,4,5]
[5,6,1,2,4,3]=>[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[1,6,2,3,4,5]
[5,6,1,3,2,4]=>[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[1,6,2,3,4,5]
[5,6,1,3,4,2]=>[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[1,6,2,4,3,5]
[5,6,1,4,2,3]=>[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[1,6,2,4,3,5]
[5,6,1,4,3,2]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[1,6,2,3,4,5]
[5,6,2,1,3,4]=>[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[1,2,6,3,4,5]
[5,6,2,1,4,3]=>[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[1,2,6,3,4,5]
[5,6,2,3,1,4]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[1,3,2,6,4,5]
[5,6,2,3,4,1]=>[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[1,4,2,6,3,5]
[5,6,2,4,1,3]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[1,4,2,6,3,5]
[5,6,2,4,3,1]=>[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[1,3,4,2,6,5]
[5,6,3,1,2,4]=>[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[1,3,6,2,4,5]
[5,6,3,1,4,2]=>[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[1,3,6,2,4,5]
[5,6,3,2,1,4]=>[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[1,2,3,6,4,5]
[5,6,3,2,4,1]=>[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[1,4,2,3,6,5]
[5,6,3,4,1,2]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[1,4,2,3,6,5]
[5,6,3,4,2,1]=>[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[1,2,4,3,6,5]
[5,6,4,1,2,3]=>[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[1,4,6,2,3,5]
[5,6,4,1,3,2]=>[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[1,4,6,2,3,5]
[5,6,4,2,1,3]=>[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[1,2,4,6,3,5]
[5,6,4,2,3,1]=>[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[1,3,2,4,6,5]
[5,6,4,3,1,2]=>[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[1,3,4,6,2,5]
[5,6,4,3,2,1]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[1,2,3,4,6,5]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5]
[6,1,2,3,5,4]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,6,2,3,4,5]
[6,1,2,4,3,5]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,6,2,3,4,5]
[6,1,2,4,5,3]=>[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,6,2,3,5,4]
[6,1,2,5,3,4]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,6,2,3,5,4]
[6,1,2,5,4,3]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,6,2,3,4,5]
[6,1,3,2,4,5]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,6,2,3,4,5]
[6,1,3,2,5,4]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,6,2,3,4,5]
[6,1,3,4,2,5]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,6,2,4,3,5]
[6,1,3,4,5,2]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,6,2,5,3,4]
[6,1,3,5,2,4]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,6,2,5,3,4]
[6,1,3,5,4,2]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,6,2,4,5,3]
[6,1,4,2,3,5]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,6,2,4,3,5]
[6,1,4,2,5,3]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,6,2,4,3,5]
[6,1,4,3,2,5]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,6,2,3,4,5]
[6,1,4,3,5,2]=>[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,6,2,5,3,4]
[6,1,4,5,2,3]=>[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,6,2,5,3,4]
[6,1,4,5,3,2]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,6,2,3,5,4]
[6,1,5,2,3,4]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,6,2,5,3,4]
[6,1,5,2,4,3]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,6,2,5,3,4]
[6,1,5,3,2,4]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,6,2,3,5,4]
[6,1,5,3,4,2]=>[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,6,2,4,3,5]
[6,1,5,4,2,3]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,6,2,4,5,3]
[6,1,5,4,3,2]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]
[6,2,1,3,4,5]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5]
[6,2,1,3,5,4]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,6,3,4,5]
[6,2,1,4,3,5]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,6,3,4,5]
[6,2,1,4,5,3]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,2,6,3,5,4]
[6,2,1,5,3,4]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,6,3,5,4]
[6,2,1,5,4,3]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]
[6,2,3,1,4,5]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[1,3,2,6,4,5]
[6,2,3,1,5,4]=>[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[1,3,2,6,4,5]
[6,2,3,4,1,5]=>[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[1,4,2,6,3,5]
[6,2,3,4,5,1]=>[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[1,5,2,6,3,4]
[6,2,3,5,1,4]=>[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[1,5,2,6,3,4]
[6,2,3,5,4,1]=>[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[1,4,5,2,6,3]
[6,2,4,1,3,5]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[1,4,2,6,3,5]
[6,2,4,1,5,3]=>[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[1,4,2,6,3,5]
[6,2,4,3,1,5]=>[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[1,3,4,2,6,5]
[6,2,4,3,5,1]=>[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[1,5,2,6,3,4]
[6,2,4,5,1,3]=>[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[1,5,2,6,3,4]
[6,2,4,5,3,1]=>[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[1,3,5,2,6,4]
[6,2,5,1,3,4]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[1,5,2,6,3,4]
[6,2,5,1,4,3]=>[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[1,5,2,6,3,4]
[6,2,5,3,1,4]=>[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[1,3,5,2,6,4]
[6,2,5,3,4,1]=>[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[1,4,2,6,3,5]
[6,2,5,4,1,3]=>[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[1,4,5,2,6,3]
[6,2,5,4,3,1]=>[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[1,3,4,5,2,6]
[6,3,1,2,4,5]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,3,6,2,4,5]
[6,3,1,2,5,4]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,3,6,2,4,5]
[6,3,1,4,2,5]=>[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,3,6,2,4,5]
[6,3,1,4,5,2]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,3,6,2,5,4]
[6,3,1,5,2,4]=>[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,3,6,2,5,4]
[6,3,1,5,4,2]=>[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,3,6,2,4,5]
[6,3,2,1,4,5]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5]
[6,3,2,1,5,4]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[6,3,2,4,1,5]=>[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[1,4,2,3,6,5]
[6,3,2,4,5,1]=>[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[1,5,2,3,6,4]
[6,3,2,5,1,4]=>[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[1,5,2,3,6,4]
[6,3,2,5,4,1]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[1,4,5,2,3,6]
[6,3,4,1,2,5]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[1,4,2,3,6,5]
[6,3,4,1,5,2]=>[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[1,4,2,5,3,6]
[6,3,4,2,1,5]=>[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[1,2,4,3,6,5]
[6,3,4,2,5,1]=>[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[1,5,2,4,3,6]
[6,3,4,5,1,2]=>[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[1,5,2,3,6,4]
[6,3,4,5,2,1]=>[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[1,2,5,3,6,4]
[6,3,5,1,2,4]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[1,5,2,3,6,4]
[6,3,5,1,4,2]=>[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[1,5,2,4,3,6]
[6,3,5,2,1,4]=>[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[1,2,5,3,6,4]
[6,3,5,2,4,1]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[1,4,2,5,3,6]
[6,3,5,4,1,2]=>[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[1,4,5,2,3,6]
[6,3,5,4,2,1]=>[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[1,2,4,5,3,6]
[6,4,1,2,3,5]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,4,6,2,3,5]
[6,4,1,2,5,3]=>[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,4,6,2,3,5]
[6,4,1,3,2,5]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,4,6,2,3,5]
[6,4,1,3,5,2]=>[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,4,6,2,5,3]
[6,4,1,5,2,3]=>[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,4,6,2,5,3]
[6,4,1,5,3,2]=>[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,4,6,2,3,5]
[6,4,2,1,3,5]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,4,6,3,5]
[6,4,2,1,5,3]=>[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,2,4,6,3,5]
[6,4,2,3,1,5]=>[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[1,3,2,4,6,5]
[6,4,2,3,5,1]=>[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[1,5,2,4,6,3]
[6,4,2,5,1,3]=>[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[1,5,2,4,6,3]
[6,4,2,5,3,1]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[1,3,5,2,4,6]
[6,4,3,1,2,5]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,3,4,6,2,5]
[6,4,3,1,5,2]=>[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,3,4,6,2,5]
[6,4,3,2,1,5]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[6,4,3,2,5,1]=>[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[1,5,2,3,4,6]
[6,4,3,5,1,2]=>[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[1,5,2,3,4,6]
[6,4,3,5,2,1]=>[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[1,2,5,3,4,6]
[6,4,5,1,2,3]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[1,5,2,3,4,6]
[6,4,5,1,3,2]=>[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[1,5,2,3,4,6]
[6,4,5,2,1,3]=>[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[1,2,5,3,4,6]
[6,4,5,2,3,1]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[1,3,2,5,4,6]
[6,4,5,3,1,2]=>[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[1,3,5,2,4,6]
[6,4,5,3,2,1]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[1,2,3,5,4,6]
[6,5,1,2,3,4]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,5,6,2,3,4]
[6,5,1,2,4,3]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,5,6,2,3,4]
[6,5,1,3,2,4]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,5,6,2,3,4]
[6,5,1,3,4,2]=>[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,5,6,2,4,3]
[6,5,1,4,2,3]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,5,6,2,4,3]
[6,5,1,4,3,2]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,5,6,2,3,4]
[6,5,2,1,3,4]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,5,6,3,4]
[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4]
[6,5,2,3,1,4]=>[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[1,3,2,5,6,4]
[6,5,2,3,4,1]=>[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[1,4,2,5,6,3]
[6,5,2,4,1,3]=>[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[1,4,2,5,6,3]
[6,5,2,4,3,1]=>[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[1,3,4,2,5,6]
[6,5,3,1,2,4]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,3,5,6,2,4]
[6,5,3,1,4,2]=>[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,3,5,6,2,4]
[6,5,3,2,1,4]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,5,6,4]
[6,5,3,2,4,1]=>[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[1,4,2,3,5,6]
[6,5,3,4,1,2]=>[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[1,4,2,3,5,6]
[6,5,3,4,2,1]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[1,2,4,3,5,6]
[6,5,4,1,2,3]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,4,5,6,2,3]
[6,5,4,1,3,2]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,4,5,6,2,3]
[6,5,4,2,1,3]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,4,5,6,3]
[6,5,4,2,3,1]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[1,3,2,4,5,6]
[6,5,4,3,1,2]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,3,4,5,6,2]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]
[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]
[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,5,7,6,4]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]
[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]
[1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,3,6,5,7,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,6,7,4,5]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,6,7,5,4]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]
[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,7,4,6,5]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]
[1,2,3,7,5,4,6]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]
[1,2,3,7,5,6,4]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]
[1,2,3,7,6,4,5]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]
[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]
[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]
[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]
[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]
[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,5,7,3,6]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,5,7,6,3]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]
[1,2,4,6,3,7,5]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]
[1,2,4,6,5,3,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]
[1,2,4,6,5,7,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,6,7,3,5]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,6,7,5,3]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]
[1,2,4,7,3,5,6]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,7,3,6,5]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]
[1,2,4,7,5,6,3]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]
[1,2,4,7,6,3,5]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]
[1,2,4,7,6,5,3]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]
[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]
[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]
[1,2,5,3,6,7,4]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]
[1,2,5,3,7,4,6]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]
[1,2,5,3,7,6,4]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]
[1,2,5,4,6,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]
[1,2,5,4,6,7,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]
[1,2,5,4,7,3,6]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]
[1,2,5,4,7,6,3]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]
[1,2,5,6,3,4,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]
[1,2,5,6,3,7,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]
[1,2,5,6,4,3,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]
[1,2,5,6,4,7,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]
[1,2,5,6,7,3,4]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,5,6,7,4,3]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]
[1,2,5,7,3,4,6]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,5,7,3,6,4]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]
[1,2,5,7,4,3,6]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]
[1,2,5,7,4,6,3]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]
[1,2,5,7,6,3,4]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]
[1,2,5,7,6,4,3]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]
[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]
[1,2,6,3,4,7,5]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]
[1,2,6,3,5,4,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]
[1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]
[1,2,6,3,7,4,5]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]
[1,2,6,3,7,5,4]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]
[1,2,6,4,3,5,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]
[1,2,6,4,3,7,5]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]
[1,2,6,4,5,3,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]
[1,2,6,4,5,7,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]
[1,2,6,4,7,3,5]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]
[1,2,6,4,7,5,3]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]
[1,2,6,5,3,4,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]
[1,2,6,5,3,7,4]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]
[1,2,6,5,4,7,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]
[1,2,6,5,7,3,4]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,6,5,7,4,3]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]
[1,2,6,7,3,4,5]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,6,7,3,5,4]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]
[1,2,6,7,4,3,5]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]
[1,2,6,7,4,5,3]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]
[1,2,6,7,5,3,4]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]
[1,2,6,7,5,4,3]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]
[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,7,3,4,6,5]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]
[1,2,7,3,5,4,6]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]
[1,2,7,3,5,6,4]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]
[1,2,7,3,6,4,5]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]
[1,2,7,3,6,5,4]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]
[1,2,7,4,3,5,6]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]
[1,2,7,4,3,6,5]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]
[1,2,7,4,5,3,6]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]
[1,2,7,4,5,6,3]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]
[1,2,7,4,6,3,5]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]
[1,2,7,4,6,5,3]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]
[1,2,7,5,3,4,6]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]
[1,2,7,5,3,6,4]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]
[1,2,7,5,4,3,6]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]
[1,2,7,5,4,6,3]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]
[1,2,7,5,6,3,4]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]
[1,2,7,5,6,4,3]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]
[1,2,7,6,3,4,5]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]
[1,2,7,6,3,5,4]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]
[1,2,7,6,4,3,5]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]
[1,2,7,6,4,5,3]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]
[1,2,7,6,5,3,4]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]
[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]
[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,5,7,6,4]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]
[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]
[1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,2,6,5,7,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,6,7,5,4]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]
[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,7,4,6,5]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]
[1,3,2,7,5,4,6]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]
[1,3,2,7,5,6,4]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]
[1,3,2,7,6,4,5]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]
[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]
[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]
[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]
[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]
[1,3,4,2,7,5,6]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]
[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]
[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]
[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]
[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]
[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]
[1,3,4,5,7,2,6]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]
[1,3,4,5,7,6,2]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]
[1,3,4,6,2,5,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]
[1,3,4,6,2,7,5]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]
[1,3,4,6,5,2,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]
[1,3,4,6,5,7,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]
[1,3,4,6,7,2,5]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]
[1,3,4,6,7,5,2]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]
[1,3,4,7,2,5,6]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]
[1,3,4,7,2,6,5]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]
[1,3,4,7,5,2,6]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]
[1,3,4,7,5,6,2]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]
[1,3,4,7,6,2,5]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]
[1,3,4,7,6,5,2]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]
[1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]
[1,3,5,2,6,4,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]
[1,3,5,2,6,7,4]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]
[1,3,5,2,7,4,6]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]
[1,3,5,2,7,6,4]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]
[1,3,5,4,2,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]
[1,3,5,4,2,7,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]
[1,3,5,4,6,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]
[1,3,5,4,6,7,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]
[1,3,5,4,7,2,6]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]
[1,3,5,4,7,6,2]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]
[1,3,5,6,2,4,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]
[1,3,5,6,2,7,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]
[1,3,5,6,4,2,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]
[1,3,5,6,4,7,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]
[1,3,5,6,7,2,4]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]
[1,3,5,6,7,4,2]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]
[1,3,5,7,2,4,6]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]
[1,3,5,7,2,6,4]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]
[1,3,5,7,4,2,6]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]
[1,3,5,7,4,6,2]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]
[1,3,5,7,6,2,4]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]
[1,3,5,7,6,4,2]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]
[1,3,6,2,4,5,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]
[1,3,6,2,4,7,5]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]
[1,3,6,2,5,4,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]
[1,3,6,2,5,7,4]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]
[1,3,6,2,7,4,5]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]
[1,3,6,2,7,5,4]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]
[1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]
[1,3,6,4,2,7,5]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]
[1,3,6,4,5,2,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]
[1,3,6,4,5,7,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]
[1,3,6,4,7,2,5]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]
[1,3,6,4,7,5,2]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]
[1,3,6,5,2,4,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]
[1,3,6,5,2,7,4]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]
[1,3,6,5,4,2,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]
[1,3,6,5,4,7,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]
[1,3,6,5,7,2,4]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]
[1,3,6,5,7,4,2]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]
[1,3,6,7,2,4,5]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]
[1,3,6,7,2,5,4]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]
[1,3,6,7,4,2,5]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]
[1,3,6,7,4,5,2]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]
[1,3,6,7,5,2,4]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]
[1,3,6,7,5,4,2]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]
[1,3,7,2,4,5,6]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]
[1,3,7,2,4,6,5]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]
[1,3,7,2,5,4,6]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]
[1,3,7,2,5,6,4]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]
[1,3,7,2,6,4,5]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]
[1,3,7,2,6,5,4]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]
[1,3,7,4,2,5,6]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]
[1,3,7,4,2,6,5]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]
[1,3,7,4,5,2,6]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]
[1,3,7,4,5,6,2]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]
[1,3,7,4,6,2,5]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]
[1,3,7,4,6,5,2]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]
[1,3,7,5,2,4,6]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]
[1,3,7,5,2,6,4]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]
[1,3,7,5,4,6,2]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]
[1,3,7,5,6,2,4]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]
[1,3,7,5,6,4,2]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]
[1,3,7,6,2,4,5]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]
[1,3,7,6,2,5,4]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]
[1,3,7,6,4,2,5]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]
[1,3,7,6,4,5,2]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]
[1,3,7,6,5,2,4]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]
[1,3,7,6,5,4,2]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]
[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]
[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]
[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]
[1,4,2,3,6,7,5]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]
[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]
[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]
[1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]
[1,4,2,5,6,3,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]
[1,4,2,5,6,7,3]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]
[1,4,2,5,7,3,6]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]
[1,4,2,5,7,6,3]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]
[1,4,2,6,3,5,7]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]
[1,4,2,6,3,7,5]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]
[1,4,2,6,5,3,7]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]
[1,4,2,6,5,7,3]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]
[1,4,2,6,7,3,5]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]
[1,4,2,6,7,5,3]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]
[1,4,2,7,3,5,6]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]
[1,4,2,7,3,6,5]=>[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]
[1,4,2,7,5,3,6]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]
[1,4,2,7,5,6,3]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]
[1,4,2,7,6,3,5]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]
[1,4,2,7,6,5,3]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]
[1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]
[1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]
[1,4,3,5,2,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]
[1,4,3,5,2,7,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]
[1,4,3,5,6,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]
[1,4,3,5,6,7,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]
[1,4,3,5,7,2,6]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]
[1,4,3,5,7,6,2]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]
[1,4,3,6,2,5,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]
[1,4,3,6,2,7,5]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]
[1,4,3,6,5,2,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]
[1,4,3,6,5,7,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]
[1,4,3,6,7,2,5]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]
[1,4,3,6,7,5,2]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]
[1,4,3,7,2,5,6]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]
[1,4,3,7,2,6,5]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]
[1,4,3,7,5,2,6]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]
[1,4,3,7,5,6,2]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]
[1,4,3,7,6,2,5]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]
[1,4,3,7,6,5,2]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]
[1,4,5,2,3,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]
[1,4,5,2,3,7,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]
[1,4,5,2,6,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]
[1,4,5,2,6,7,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]
[1,4,5,2,7,3,6]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]
[1,4,5,2,7,6,3]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]
[1,4,5,3,2,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]
[1,4,5,3,2,7,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]
[1,4,5,3,6,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]
[1,4,5,3,6,7,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]
[1,4,5,3,7,2,6]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]
[1,4,5,3,7,6,2]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]
[1,4,5,6,2,3,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]
[1,4,5,6,2,7,3]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]
[1,4,5,6,3,2,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]
[1,4,5,6,3,7,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]
[1,4,5,6,7,2,3]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]
[1,4,5,6,7,3,2]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]
[1,4,5,7,2,3,6]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]
[1,4,5,7,2,6,3]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]
[1,4,5,7,3,2,6]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]
[1,4,5,7,3,6,2]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]
[1,4,5,7,6,2,3]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]
[1,4,5,7,6,3,2]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]
[1,4,6,2,3,5,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]
[1,4,6,2,3,7,5]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]
[1,4,6,2,5,3,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]
[1,4,6,2,5,7,3]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]
[1,4,6,2,7,3,5]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]
[1,4,6,2,7,5,3]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]
[1,4,6,3,2,5,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]
[1,4,6,3,2,7,5]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]
[1,4,6,3,5,2,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]
[1,4,6,3,5,7,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]
[1,4,6,3,7,2,5]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]
[1,4,6,3,7,5,2]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]
[1,4,6,5,2,3,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]
[1,4,6,5,2,7,3]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]
[1,4,6,5,3,2,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]
[1,4,6,5,3,7,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]
[1,4,6,5,7,2,3]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]
[1,4,6,5,7,3,2]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]
[1,4,6,7,2,3,5]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]
[1,4,6,7,2,5,3]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]
[1,4,6,7,3,2,5]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]
[1,4,6,7,3,5,2]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]
[1,4,6,7,5,2,3]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]
[1,4,6,7,5,3,2]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]
[1,4,7,2,3,5,6]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]
[1,4,7,2,3,6,5]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]
[1,4,7,2,5,3,6]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]
[1,4,7,2,5,6,3]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]
[1,4,7,2,6,3,5]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]
[1,4,7,2,6,5,3]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]
[1,4,7,3,2,5,6]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]
[1,4,7,3,2,6,5]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]
[1,4,7,3,5,2,6]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]
[1,4,7,3,5,6,2]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]
[1,4,7,3,6,2,5]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]
[1,4,7,3,6,5,2]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]
[1,4,7,5,2,3,6]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]
[1,4,7,5,2,6,3]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]
[1,4,7,5,3,2,6]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]
[1,4,7,5,3,6,2]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]
[1,4,7,5,6,2,3]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]
[1,4,7,5,6,3,2]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]
[1,4,7,6,2,3,5]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]
[1,4,7,6,2,5,3]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]
[1,4,7,6,3,2,5]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]
[1,4,7,6,3,5,2]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]
[1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]
[1,4,7,6,5,3,2]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]
[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]
[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]
[1,5,2,3,6,4,7]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]
[1,5,2,3,6,7,4]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]
[1,5,2,3,7,4,6]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]
[1,5,2,3,7,6,4]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]
[1,5,2,4,3,6,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]
[1,5,2,4,3,7,6]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]
[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]
[1,5,2,4,6,7,3]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]
[1,5,2,4,7,3,6]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]
[1,5,2,4,7,6,3]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]
[1,5,2,6,3,4,7]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]
[1,5,2,6,3,7,4]=>[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]
[1,5,2,6,4,3,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]
[1,5,2,6,4,7,3]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]
[1,5,2,6,7,3,4]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]
[1,5,2,6,7,4,3]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]
[1,5,2,7,3,4,6]=>[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]
[1,5,2,7,3,6,4]=>[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]
[1,5,2,7,4,3,6]=>[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]
[1,5,2,7,4,6,3]=>[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]
[1,5,2,7,6,3,4]=>[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]
[1,5,2,7,6,4,3]=>[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]
[1,5,3,2,4,6,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]
[1,5,3,2,4,7,6]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]
[1,5,3,2,6,4,7]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]
[1,5,3,2,6,7,4]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]
[1,5,3,2,7,4,6]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]
[1,5,3,2,7,6,4]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]
[1,5,3,4,2,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]
[1,5,3,4,2,7,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]
[1,5,3,4,6,2,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]
[1,5,3,4,6,7,2]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]
[1,5,3,4,7,2,6]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]
[1,5,3,4,7,6,2]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]
[1,5,3,6,2,4,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]
[1,5,3,6,2,7,4]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]
[1,5,3,6,4,2,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]
[1,5,3,6,4,7,2]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]
[1,5,3,6,7,2,4]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]
[1,5,3,6,7,4,2]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]
[1,5,3,7,2,4,6]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]
[1,5,3,7,2,6,4]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]
[1,5,3,7,4,2,6]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]
[1,5,3,7,4,6,2]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]
[1,5,3,7,6,2,4]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]
[1,5,3,7,6,4,2]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]
[1,5,4,2,3,6,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]
[1,5,4,2,3,7,6]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]
[1,5,4,2,6,3,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]
[1,5,4,2,6,7,3]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]
[1,5,4,2,7,3,6]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]
[1,5,4,2,7,6,3]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]
[1,5,4,3,6,2,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]
[1,5,4,3,6,7,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]
[1,5,4,3,7,2,6]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]
[1,5,4,3,7,6,2]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]
[1,5,4,6,2,3,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]
[1,5,4,6,2,7,3]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]
[1,5,4,6,3,2,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]
[1,5,4,6,3,7,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]
[1,5,4,6,7,2,3]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]
[1,5,4,6,7,3,2]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]
[1,5,4,7,2,3,6]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]
[1,5,4,7,2,6,3]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]
[1,5,4,7,3,2,6]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]
[1,5,4,7,3,6,2]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]
[1,5,4,7,6,2,3]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]
[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]
[1,5,6,2,3,4,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]
[1,5,6,2,3,7,4]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]
[1,5,6,2,4,3,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]
[1,5,6,2,4,7,3]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]
[1,5,6,2,7,3,4]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]
[1,5,6,2,7,4,3]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]
[1,5,6,3,2,4,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]
[1,5,6,3,2,7,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]
[1,5,6,3,4,2,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]
[1,5,6,3,4,7,2]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]
[1,5,6,3,7,2,4]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]
[1,5,6,3,7,4,2]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]
[1,5,6,4,2,3,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]
[1,5,6,4,2,7,3]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]
[1,5,6,4,3,2,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]
[1,5,6,4,3,7,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]
[1,5,6,4,7,2,3]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]
[1,5,6,4,7,3,2]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]
[1,5,6,7,2,3,4]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]
[1,5,6,7,2,4,3]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]
[1,5,6,7,3,2,4]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]
[1,5,6,7,3,4,2]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]
[1,5,6,7,4,2,3]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]
[1,5,6,7,4,3,2]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]
[1,5,7,2,3,4,6]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]
[1,5,7,2,3,6,4]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]
[1,5,7,2,4,3,6]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]
[1,5,7,2,4,6,3]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]
[1,5,7,2,6,3,4]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]
[1,5,7,2,6,4,3]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]
[1,5,7,3,2,4,6]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]
[1,5,7,3,2,6,4]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]
[1,5,7,3,4,2,6]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]
[1,5,7,3,4,6,2]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]
[1,5,7,3,6,2,4]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]
[1,5,7,3,6,4,2]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]
[1,5,7,4,2,3,6]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]
[1,5,7,4,2,6,3]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]
[1,5,7,4,3,2,6]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]
[1,5,7,4,3,6,2]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]
[1,5,7,4,6,2,3]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]
[1,5,7,4,6,3,2]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]
[1,5,7,6,2,3,4]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]
[1,5,7,6,2,4,3]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]
[1,5,7,6,3,2,4]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]
[1,5,7,6,3,4,2]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]
[1,5,7,6,4,2,3]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]
[1,5,7,6,4,3,2]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]
[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]
[1,6,2,3,4,7,5]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]
[1,6,2,3,5,4,7]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]
[1,6,2,3,5,7,4]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]
[1,6,2,3,7,4,5]=>[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]
[1,6,2,3,7,5,4]=>[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]
[1,6,2,4,3,5,7]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]
[1,6,2,4,3,7,5]=>[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]
[1,6,2,4,5,3,7]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]
[1,6,2,4,5,7,3]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]
[1,6,2,4,7,3,5]=>[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]
[1,6,2,4,7,5,3]=>[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]
[1,6,2,5,3,4,7]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]
[1,6,2,5,3,7,4]=>[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]
[1,6,2,5,4,3,7]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]
[1,6,2,5,7,3,4]=>[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]
[1,6,2,5,7,4,3]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]
[1,6,2,7,3,4,5]=>[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]
[1,6,2,7,3,5,4]=>[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]
[1,6,2,7,4,3,5]=>[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]
[1,6,2,7,4,5,3]=>[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]
[1,6,2,7,5,3,4]=>[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]
[1,6,2,7,5,4,3]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]
[1,6,3,2,4,5,7]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]
[1,6,3,2,4,7,5]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]
[1,6,3,2,5,4,7]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]
[1,6,3,2,5,7,4]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]
[1,6,3,2,7,4,5]=>[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]
[1,6,3,2,7,5,4]=>[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]
[1,6,3,4,2,5,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]
[1,6,3,4,2,7,5]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]
[1,6,3,4,5,2,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]
[1,6,3,4,5,7,2]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]
[1,6,3,4,7,2,5]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]
[1,6,3,4,7,5,2]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]
[1,6,3,5,2,4,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]
[1,6,3,5,2,7,4]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]
[1,6,3,5,4,2,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]
[1,6,3,5,4,7,2]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]
[1,6,3,5,7,2,4]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]
[1,6,3,5,7,4,2]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]
[1,6,3,7,2,4,5]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]
[1,6,3,7,2,5,4]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]
[1,6,3,7,4,2,5]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]
[1,6,3,7,4,5,2]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]
[1,6,3,7,5,2,4]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]
[1,6,3,7,5,4,2]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]
[1,6,4,2,3,5,7]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]
[1,6,4,2,3,7,5]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]
[1,6,4,2,5,3,7]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]
[1,6,4,2,5,7,3]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]
[1,6,4,2,7,3,5]=>[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]
[1,6,4,2,7,5,3]=>[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]
[1,6,4,3,2,5,7]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]
[1,6,4,3,2,7,5]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]
[1,6,4,3,5,2,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]
[1,6,4,3,5,7,2]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]
[1,6,4,3,7,2,5]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]
[1,6,4,3,7,5,2]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]
[1,6,4,5,2,3,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]
[1,6,4,5,2,7,3]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]
[1,6,4,5,3,2,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]
[1,6,4,5,3,7,2]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]
[1,6,4,5,7,2,3]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]
[1,6,4,5,7,3,2]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]
[1,6,4,7,2,3,5]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]
[1,6,4,7,2,5,3]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]
[1,6,4,7,3,2,5]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]
[1,6,4,7,3,5,2]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]
[1,6,4,7,5,2,3]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]
[1,6,4,7,5,3,2]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]
[1,6,5,2,3,4,7]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]
[1,6,5,2,3,7,4]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]
[1,6,5,2,4,3,7]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]
[1,6,5,2,4,7,3]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]
[1,6,5,2,7,3,4]=>[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]
[1,6,5,2,7,4,3]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]
[1,6,5,3,2,4,7]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]
[1,6,5,3,2,7,4]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]
[1,6,5,3,4,2,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]
[1,6,5,3,4,7,2]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]
[1,6,5,3,7,2,4]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]
[1,6,5,3,7,4,2]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]
[1,6,5,4,2,3,7]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]
[1,6,5,4,2,7,3]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]
[1,6,5,4,3,7,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]
[1,6,5,4,7,2,3]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]
[1,6,5,4,7,3,2]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]
[1,6,5,7,2,3,4]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]
[1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]
[1,6,5,7,3,2,4]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]
[1,6,5,7,3,4,2]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]
[1,6,5,7,4,2,3]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]
[1,6,5,7,4,3,2]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]
[1,6,7,2,3,4,5]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]
[1,6,7,2,3,5,4]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]
[1,6,7,2,4,3,5]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]
[1,6,7,2,4,5,3]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]
[1,6,7,2,5,3,4]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]
[1,6,7,2,5,4,3]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]
[1,6,7,3,2,4,5]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]
[1,6,7,3,2,5,4]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]
[1,6,7,3,4,2,5]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]
[1,6,7,3,4,5,2]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]
[1,6,7,3,5,2,4]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]
[1,6,7,3,5,4,2]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]
[1,6,7,4,2,3,5]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]
[1,6,7,4,2,5,3]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]
[1,6,7,4,3,2,5]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]
[1,6,7,4,3,5,2]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]
[1,6,7,4,5,2,3]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]
[1,6,7,4,5,3,2]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]
[1,6,7,5,2,3,4]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]
[1,6,7,5,2,4,3]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]
[1,6,7,5,3,2,4]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]
[1,6,7,5,3,4,2]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]
[1,6,7,5,4,2,3]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]
[1,6,7,5,4,3,2]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]
[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]
[1,7,2,3,4,6,5]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]
[1,7,2,3,5,4,6]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]
[1,7,2,3,5,6,4]=>[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]
[1,7,2,3,6,4,5]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]
[1,7,2,3,6,5,4]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]
[1,7,2,4,3,5,6]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]
[1,7,2,4,3,6,5]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]
[1,7,2,4,5,3,6]=>[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]
[1,7,2,4,5,6,3]=>[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]
[1,7,2,4,6,3,5]=>[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]
[1,7,2,4,6,5,3]=>[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]
[1,7,2,5,3,4,6]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]
[1,7,2,5,3,6,4]=>[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]
[1,7,2,5,4,3,6]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]
[1,7,2,5,4,6,3]=>[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]
[1,7,2,5,6,3,4]=>[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]
[1,7,2,5,6,4,3]=>[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]
[1,7,2,6,3,4,5]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]
[1,7,2,6,3,5,4]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]
[1,7,2,6,4,3,5]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]
[1,7,2,6,4,5,3]=>[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]
[1,7,2,6,5,3,4]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]
[1,7,2,6,5,4,3]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]
[1,7,3,2,4,5,6]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]
[1,7,3,2,4,6,5]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]
[1,7,3,2,5,4,6]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]
[1,7,3,2,5,6,4]=>[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]
[1,7,3,2,6,4,5]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]
[1,7,3,2,6,5,4]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]
[1,7,3,4,2,5,6]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]
[1,7,3,4,2,6,5]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]
[1,7,3,4,5,2,6]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]
[1,7,3,4,5,6,2]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]
[1,7,3,4,6,2,5]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]
[1,7,3,4,6,5,2]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]
[1,7,3,5,2,4,6]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]
[1,7,3,5,2,6,4]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]
[1,7,3,5,4,2,6]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]
[1,7,3,5,4,6,2]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]
[1,7,3,5,6,2,4]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]
[1,7,3,5,6,4,2]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]
[1,7,3,6,2,4,5]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]
[1,7,3,6,2,5,4]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]
[1,7,3,6,4,2,5]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]
[1,7,3,6,4,5,2]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]
[1,7,3,6,5,2,4]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]
[1,7,3,6,5,4,2]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]
[1,7,4,2,3,5,6]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]
[1,7,4,2,3,6,5]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]
[1,7,4,2,5,3,6]=>[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]
[1,7,4,2,5,6,3]=>[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]
[1,7,4,2,6,3,5]=>[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]
[1,7,4,2,6,5,3]=>[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]
[1,7,4,3,2,5,6]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]
[1,7,4,3,2,6,5]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]
[1,7,4,3,5,2,6]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]
[1,7,4,3,5,6,2]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]
[1,7,4,3,6,2,5]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]
[1,7,4,3,6,5,2]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]
[1,7,4,5,2,3,6]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]
[1,7,4,5,2,6,3]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]
[1,7,4,5,3,2,6]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]
[1,7,4,5,3,6,2]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]
[1,7,4,5,6,2,3]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]
[1,7,4,5,6,3,2]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]
[1,7,4,6,2,3,5]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]
[1,7,4,6,2,5,3]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]
[1,7,4,6,3,2,5]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]
[1,7,4,6,3,5,2]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]
[1,7,4,6,5,2,3]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]
[1,7,4,6,5,3,2]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]
[1,7,5,2,3,4,6]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]
[1,7,5,2,3,6,4]=>[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]
[1,7,5,2,4,3,6]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]
[1,7,5,2,4,6,3]=>[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]
[1,7,5,2,6,3,4]=>[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]
[1,7,5,2,6,4,3]=>[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]
[1,7,5,3,2,4,6]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]
[1,7,5,3,2,6,4]=>[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]
[1,7,5,3,4,2,6]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]
[1,7,5,3,4,6,2]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]
[1,7,5,3,6,2,4]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]
[1,7,5,3,6,4,2]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]
[1,7,5,4,2,3,6]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]
[1,7,5,4,2,6,3]=>[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]
[1,7,5,4,3,2,6]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]
[1,7,5,4,3,6,2]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]
[1,7,5,4,6,2,3]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]
[1,7,5,4,6,3,2]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]
[1,7,5,6,2,3,4]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]
[1,7,5,6,2,4,3]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]
[1,7,5,6,3,2,4]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]
[1,7,5,6,3,4,2]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]
[1,7,5,6,4,2,3]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]
[1,7,5,6,4,3,2]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]
[1,7,6,2,3,4,5]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]
[1,7,6,2,3,5,4]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]
[1,7,6,2,4,3,5]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]
[1,7,6,2,4,5,3]=>[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]
[1,7,6,2,5,3,4]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]
[1,7,6,2,5,4,3]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]
[1,7,6,3,2,4,5]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]
[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]
[1,7,6,3,4,2,5]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]
[1,7,6,3,4,5,2]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]
[1,7,6,3,5,2,4]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]
[1,7,6,3,5,4,2]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]
[1,7,6,4,2,3,5]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]
[1,7,6,4,2,5,3]=>[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]
[1,7,6,4,3,2,5]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]
[1,7,6,4,3,5,2]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]
[1,7,6,4,5,2,3]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]
[1,7,6,4,5,3,2]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]
[1,7,6,5,2,3,4]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]
[1,7,6,5,2,4,3]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]
[1,7,6,5,3,2,4]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]
[1,7,6,5,3,4,2]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]
[1,7,6,5,4,2,3]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]
[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]
[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,5,7,6,4]=>[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]
[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,3,6,5,7,4]=>[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,6,7,4,5]=>[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,6,7,5,4]=>[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]
[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,7,4,6,5]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]
[2,1,3,7,5,4,6]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]
[2,1,3,7,5,6,4]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]
[2,1,3,7,6,4,5]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]
[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]
[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]
[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]
[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]
[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,5,7,3,6]=>[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,5,7,6,3]=>[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]
[2,1,4,6,3,7,5]=>[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]
[2,1,4,6,5,3,7]=>[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]
[2,1,4,6,5,7,3]=>[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,6,7,3,5]=>[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,6,7,5,3]=>[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]
[2,1,4,7,3,5,6]=>[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,7,3,6,5]=>[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]
[2,1,4,7,5,6,3]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]
[2,1,4,7,6,3,5]=>[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]
[2,1,4,7,6,5,3]=>[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]
[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]
[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]
[2,1,5,3,6,7,4]=>[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]
[2,1,5,3,7,4,6]=>[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]
[2,1,5,3,7,6,4]=>[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]
[2,1,5,4,6,3,7]=>[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]
[2,1,5,4,6,7,3]=>[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]
[2,1,5,4,7,3,6]=>[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]
[2,1,5,4,7,6,3]=>[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]
[2,1,5,6,3,4,7]=>[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]
[2,1,5,6,3,7,4]=>[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]
[2,1,5,6,4,3,7]=>[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]
[2,1,5,6,4,7,3]=>[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]
[2,1,5,6,7,3,4]=>[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,5,6,7,4,3]=>[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]
[2,1,5,7,3,4,6]=>[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,5,7,3,6,4]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]
[2,1,5,7,4,3,6]=>[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]
[2,1,5,7,4,6,3]=>[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]
[2,1,5,7,6,3,4]=>[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]
[2,1,5,7,6,4,3]=>[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]
[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]
[2,1,6,3,4,7,5]=>[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]
[2,1,6,3,5,4,7]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]
[2,1,6,3,7,4,5]=>[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]
[2,1,6,3,7,5,4]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]
[2,1,6,4,3,5,7]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]
[2,1,6,4,3,7,5]=>[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]
[2,1,6,4,5,3,7]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]
[2,1,6,4,5,7,3]=>[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]
[2,1,6,4,7,3,5]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]
[2,1,6,4,7,5,3]=>[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]
[2,1,6,5,3,4,7]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]
[2,1,6,5,3,7,4]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]
[2,1,6,5,4,7,3]=>[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]
[2,1,6,5,7,3,4]=>[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,6,5,7,4,3]=>[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]
[2,1,6,7,3,4,5]=>[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,6,7,3,5,4]=>[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]
[2,1,6,7,4,3,5]=>[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]
[2,1,6,7,4,5,3]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]
[2,1,6,7,5,3,4]=>[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]
[2,1,6,7,5,4,3]=>[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]
[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,7,3,4,6,5]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]
[2,1,7,3,5,4,6]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]
[2,1,7,3,5,6,4]=>[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]
[2,1,7,3,6,4,5]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]
[2,1,7,3,6,5,4]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]
[2,1,7,4,3,5,6]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]
[2,1,7,4,3,6,5]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]
[2,1,7,4,5,3,6]=>[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]
[2,1,7,4,5,6,3]=>[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]
[2,1,7,4,6,3,5]=>[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]
[2,1,7,4,6,5,3]=>[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]
[2,1,7,5,3,4,6]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]
[2,1,7,5,3,6,4]=>[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]
[2,1,7,5,4,3,6]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]
[2,1,7,5,4,6,3]=>[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]
[2,1,7,5,6,3,4]=>[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]
[2,1,7,5,6,4,3]=>[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]
[2,1,7,6,3,4,5]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]
[2,1,7,6,3,5,4]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]
[2,1,7,6,4,3,5]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]
[2,1,7,6,4,5,3]=>[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]
[2,1,7,6,5,3,4]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]
[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]
[2,3,1,4,7,5,6]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]
[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]
[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,5,7,4,6]=>[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,5,7,6,4]=>[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]
[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]
[2,3,1,6,4,7,5]=>[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]
[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,1,6,5,7,4]=>[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,6,7,4,5]=>[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,6,7,5,4]=>[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]
[2,3,1,7,4,5,6]=>[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,7,4,6,5]=>[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]
[2,3,1,7,5,4,6]=>[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]
[2,3,1,7,5,6,4]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]
[2,3,1,7,6,4,5]=>[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]
[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]
[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]
[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]
[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]
[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]
[2,3,4,1,7,5,6]=>[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]
[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]
[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]
[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]
[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]
[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]
[2,3,4,5,7,1,6]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]
[2,3,4,5,7,6,1]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]
[2,3,4,6,1,5,7]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]
[2,3,4,6,1,7,5]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]
[2,3,4,6,5,1,7]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]
[2,3,4,6,5,7,1]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]
[2,3,4,6,7,1,5]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]
[2,3,4,6,7,5,1]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]
[2,3,4,7,1,5,6]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]
[2,3,4,7,1,6,5]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]
[2,3,4,7,5,1,6]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]
[2,3,4,7,5,6,1]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]
[2,3,4,7,6,1,5]=>[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]
[2,3,4,7,6,5,1]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]
[2,3,5,1,4,6,7]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]
[2,3,5,1,4,7,6]=>[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]
[2,3,5,1,6,4,7]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]
[2,3,5,1,6,7,4]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]
[2,3,5,1,7,4,6]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]
[2,3,5,1,7,6,4]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]
[2,3,5,4,1,6,7]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]
[2,3,5,4,1,7,6]=>[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]
[2,3,5,4,6,1,7]=>[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]
[2,3,5,4,6,7,1]=>[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]
[2,3,5,4,7,1,6]=>[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]
[2,3,5,4,7,6,1]=>[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]
[2,3,5,6,1,4,7]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]
[2,3,5,6,1,7,4]=>[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]
[2,3,5,6,4,1,7]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]
[2,3,5,6,4,7,1]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]
[2,3,5,6,7,1,4]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]
[2,3,5,6,7,4,1]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]
[2,3,5,7,1,4,6]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]
[2,3,5,7,1,6,4]=>[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]
[2,3,5,7,4,1,6]=>[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]
[2,3,5,7,4,6,1]=>[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]
[2,3,5,7,6,1,4]=>[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]
[2,3,5,7,6,4,1]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]
[2,3,6,1,4,5,7]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]
[2,3,6,1,4,7,5]=>[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]
[2,3,6,1,5,4,7]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]
[2,3,6,1,5,7,4]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]
[2,3,6,1,7,4,5]=>[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]
[2,3,6,1,7,5,4]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]
[2,3,6,4,1,5,7]=>[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]
[2,3,6,4,1,7,5]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]
[2,3,6,4,5,1,7]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]
[2,3,6,4,5,7,1]=>[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]
[2,3,6,4,7,1,5]=>[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]
[2,3,6,4,7,5,1]=>[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]
[2,3,6,5,1,4,7]=>[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]
[2,3,6,5,1,7,4]=>[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]
[2,3,6,5,4,1,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]
[2,3,6,5,4,7,1]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]
[2,3,6,5,7,1,4]=>[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]
[2,3,6,5,7,4,1]=>[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]
[2,3,6,7,1,4,5]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]
[2,3,6,7,1,5,4]=>[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]
[2,3,6,7,4,1,5]=>[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]
[2,3,6,7,4,5,1]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]
[2,3,6,7,5,1,4]=>[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]
[2,3,6,7,5,4,1]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]
[2,3,7,1,4,5,6]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]
[2,3,7,1,4,6,5]=>[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]
[2,3,7,1,5,4,6]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]
[2,3,7,1,5,6,4]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]
[2,3,7,1,6,4,5]=>[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]
[2,3,7,1,6,5,4]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]
[2,3,7,4,1,5,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]
[2,3,7,4,1,6,5]=>[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]
[2,3,7,4,5,1,6]=>[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]
[2,3,7,4,5,6,1]=>[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]
[2,3,7,4,6,1,5]=>[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]
[2,3,7,4,6,5,1]=>[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]
[2,3,7,5,1,4,6]=>[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]
[2,3,7,5,1,6,4]=>[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]
[2,3,7,5,4,1,6]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]
[2,3,7,5,4,6,1]=>[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]
[2,3,7,5,6,1,4]=>[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]
[2,3,7,5,6,4,1]=>[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]
[2,3,7,6,1,4,5]=>[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]
[2,3,7,6,1,5,4]=>[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]
[2,3,7,6,4,1,5]=>[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]
[2,3,7,6,4,5,1]=>[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]
[2,3,7,6,5,1,4]=>[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]
[2,3,7,6,5,4,1]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]
[2,4,1,3,6,7,5]=>[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]
[2,4,1,3,7,5,6]=>[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]
[2,4,1,5,3,6,7]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]
[2,4,1,5,3,7,6]=>[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]
[2,4,1,5,6,3,7]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]
[2,4,1,5,6,7,3]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]
[2,4,1,5,7,3,6]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]
[2,4,1,5,7,6,3]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]
[2,4,1,6,3,5,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]
[2,4,1,6,3,7,5]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]
[2,4,1,6,5,3,7]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]
[2,4,1,6,5,7,3]=>[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]
[2,4,1,6,7,3,5]=>[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]
[2,4,1,6,7,5,3]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]
[2,4,1,7,3,5,6]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]
[2,4,1,7,3,6,5]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]
[2,4,1,7,5,3,6]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]
[2,4,1,7,5,6,3]=>[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]
[2,4,1,7,6,3,5]=>[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]
[2,4,1,7,6,5,3]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]
[2,4,3,1,5,6,7]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]
[2,4,3,1,5,7,6]=>[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]
[2,4,3,1,6,5,7]=>[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]
[2,4,3,1,6,7,5]=>[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]
[2,4,3,1,7,5,6]=>[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]
[2,4,3,1,7,6,5]=>[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]
[2,4,3,5,1,6,7]=>[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]
[2,4,3,5,1,7,6]=>[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]
[2,4,3,5,6,1,7]=>[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]
[2,4,3,5,6,7,1]=>[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]
[2,4,3,5,7,1,6]=>[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]
[2,4,3,5,7,6,1]=>[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]
[2,4,3,6,1,5,7]=>[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]
[2,4,3,6,1,7,5]=>[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]
[2,4,3,6,5,1,7]=>[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]
[2,4,3,6,5,7,1]=>[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]
[2,4,3,6,7,1,5]=>[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]
[2,4,3,6,7,5,1]=>[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]
[2,4,3,7,1,5,6]=>[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]
[2,4,3,7,1,6,5]=>[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]
[2,4,3,7,5,1,6]=>[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]
[2,4,3,7,5,6,1]=>[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]
[2,4,3,7,6,1,5]=>[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]
[2,4,3,7,6,5,1]=>[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]
[2,4,5,1,3,6,7]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]
[2,4,5,1,3,7,6]=>[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]
[2,4,5,1,6,3,7]=>[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]
[2,4,5,1,6,7,3]=>[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]
[2,4,5,1,7,3,6]=>[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]
[2,4,5,1,7,6,3]=>[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]
[2,4,5,3,1,6,7]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]
[2,4,5,3,1,7,6]=>[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]
[2,4,5,3,6,1,7]=>[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]
[2,4,5,3,6,7,1]=>[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]
[2,4,5,3,7,1,6]=>[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]
[2,4,5,3,7,6,1]=>[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]
[2,4,5,6,1,3,7]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]
[2,4,5,6,1,7,3]=>[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]
[2,4,5,6,3,1,7]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]
[2,4,5,6,3,7,1]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]
[2,4,5,6,7,1,3]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]
[2,4,5,6,7,3,1]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]
[2,4,5,7,1,3,6]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]
[2,4,5,7,1,6,3]=>[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]
[2,4,5,7,3,1,6]=>[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]
[2,4,5,7,3,6,1]=>[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]
[2,4,5,7,6,1,3]=>[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]
[2,4,5,7,6,3,1]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]
[2,4,6,1,3,5,7]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]
[2,4,6,1,3,7,5]=>[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]
[2,4,6,1,5,3,7]=>[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]
[2,4,6,1,5,7,3]=>[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]
[2,4,6,1,7,3,5]=>[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]
[2,4,6,1,7,5,3]=>[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]
[2,4,6,3,1,5,7]=>[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]
[2,4,6,3,1,7,5]=>[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]
[2,4,6,3,5,1,7]=>[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]
[2,4,6,3,5,7,1]=>[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]
[2,4,6,3,7,1,5]=>[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]
[2,4,6,3,7,5,1]=>[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]
[2,4,6,5,1,3,7]=>[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]
[2,4,6,5,1,7,3]=>[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]
[2,4,6,5,3,1,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]
[2,4,6,5,3,7,1]=>[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]
[2,4,6,5,7,1,3]=>[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]
[2,4,6,5,7,3,1]=>[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]
[2,4,6,7,1,3,5]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]
[2,4,6,7,1,5,3]=>[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]
[2,4,6,7,3,1,5]=>[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]
[2,4,6,7,3,5,1]=>[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]
[2,4,6,7,5,1,3]=>[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]
[2,4,6,7,5,3,1]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]
[2,4,7,1,3,5,6]=>[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]
[2,4,7,1,3,6,5]=>[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]
[2,4,7,1,5,3,6]=>[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]
[2,4,7,1,5,6,3]=>[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]
[2,4,7,1,6,3,5]=>[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]
[2,4,7,1,6,5,3]=>[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]
[2,4,7,3,1,5,6]=>[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]
[2,4,7,3,1,6,5]=>[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]
[2,4,7,3,5,1,6]=>[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]
[2,4,7,3,5,6,1]=>[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]
[2,4,7,3,6,1,5]=>[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]
[2,4,7,3,6,5,1]=>[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]
[2,4,7,5,1,3,6]=>[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]
[2,4,7,5,1,6,3]=>[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]
[2,4,7,5,3,1,6]=>[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]
[2,4,7,5,3,6,1]=>[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]
[2,4,7,5,6,1,3]=>[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]
[2,4,7,5,6,3,1]=>[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]
[2,4,7,6,1,3,5]=>[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]
[2,4,7,6,1,5,3]=>[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]
[2,4,7,6,3,1,5]=>[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]
[2,4,7,6,3,5,1]=>[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]
[2,4,7,6,5,1,3]=>[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]
[2,4,7,6,5,3,1]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]
[2,5,1,3,4,6,7]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]
[2,5,1,3,4,7,6]=>[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]
[2,5,1,3,6,4,7]=>[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]
[2,5,1,3,6,7,4]=>[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]
[2,5,1,3,7,4,6]=>[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]
[2,5,1,3,7,6,4]=>[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]
[2,5,1,4,3,6,7]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]
[2,5,1,4,3,7,6]=>[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]
[2,5,1,4,6,3,7]=>[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]
[2,5,1,4,6,7,3]=>[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]
[2,5,1,4,7,3,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]
[2,5,1,4,7,6,3]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]
[2,5,1,6,3,4,7]=>[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]
[2,5,1,6,3,7,4]=>[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]
[2,5,1,6,4,3,7]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]
[2,5,1,6,4,7,3]=>[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]
[2,5,1,6,7,3,4]=>[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]
[2,5,1,6,7,4,3]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]
[2,5,1,7,3,4,6]=>[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]
[2,5,1,7,3,6,4]=>[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]
[2,5,1,7,4,3,6]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]
[2,5,1,7,4,6,3]=>[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]
[2,5,1,7,6,3,4]=>[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]
[2,5,1,7,6,4,3]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]
[2,5,3,1,6,4,7]=>[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]
[2,5,3,1,6,7,4]=>[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]
[2,5,3,1,7,4,6]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]
[2,5,3,1,7,6,4]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]
[2,5,3,4,1,6,7]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]
[2,5,3,4,1,7,6]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]
[2,5,3,4,6,1,7]=>[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]
[2,5,3,4,6,7,1]=>[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]
[2,5,3,4,7,1,6]=>[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]
[2,5,3,4,7,6,1]=>[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]
[2,5,3,6,1,4,7]=>[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]
[2,5,3,6,1,7,4]=>[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]
[2,5,3,6,4,1,7]=>[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]
[2,5,3,6,4,7,1]=>[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]
[2,5,3,6,7,1,4]=>[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]
[2,5,3,6,7,4,1]=>[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]
[2,5,3,7,1,4,6]=>[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]
[2,5,3,7,1,6,4]=>[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]
[2,5,3,7,4,1,6]=>[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]
[2,5,3,7,4,6,1]=>[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]
[2,5,3,7,6,1,4]=>[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]
[2,5,3,7,6,4,1]=>[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]
[2,5,4,1,3,6,7]=>[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]
[2,5,4,1,3,7,6]=>[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]
[2,5,4,1,6,3,7]=>[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]
[2,5,4,1,6,7,3]=>[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]
[2,5,4,1,7,3,6]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]
[2,5,4,1,7,6,3]=>[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]
[2,5,4,3,1,6,7]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]
[2,5,4,3,1,7,6]=>[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]
[2,5,4,3,6,1,7]=>[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]
[2,5,4,3,6,7,1]=>[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]
[2,5,4,3,7,1,6]=>[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]
[2,5,4,3,7,6,1]=>[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]
[2,5,4,6,1,3,7]=>[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]
[2,5,4,6,1,7,3]=>[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]
[2,5,4,6,3,1,7]=>[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]
[2,5,4,6,3,7,1]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]
[2,5,4,6,7,1,3]=>[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]
[2,5,4,6,7,3,1]=>[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]
[2,5,4,7,1,3,6]=>[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]
[2,5,4,7,1,6,3]=>[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]
[2,5,4,7,3,1,6]=>[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]
[2,5,4,7,3,6,1]=>[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]
[2,5,4,7,6,1,3]=>[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]
[2,5,4,7,6,3,1]=>[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]
[2,5,6,1,3,4,7]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]
[2,5,6,1,3,7,4]=>[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]
[2,5,6,1,4,3,7]=>[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]
[2,5,6,1,4,7,3]=>[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]
[2,5,6,1,7,3,4]=>[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]
[2,5,6,1,7,4,3]=>[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]
[2,5,6,3,1,4,7]=>[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]
[2,5,6,3,1,7,4]=>[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]
[2,5,6,3,4,1,7]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]
[2,5,6,3,4,7,1]=>[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]
[2,5,6,3,7,1,4]=>[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]
[2,5,6,3,7,4,1]=>[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]
[2,5,6,4,1,3,7]=>[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]
[2,5,6,4,1,7,3]=>[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]
[2,5,6,4,3,1,7]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]
[2,5,6,4,3,7,1]=>[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]
[2,5,6,4,7,1,3]=>[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]
[2,5,6,4,7,3,1]=>[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]
[2,5,6,7,1,3,4]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]
[2,5,6,7,1,4,3]=>[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]
[2,5,6,7,3,1,4]=>[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]
[2,5,6,7,3,4,1]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]
[2,5,6,7,4,1,3]=>[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]
[2,5,6,7,4,3,1]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]
[2,5,7,1,3,4,6]=>[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]
[2,5,7,1,3,6,4]=>[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]
[2,5,7,1,4,3,6]=>[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]
[2,5,7,1,4,6,3]=>[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]
[2,5,7,1,6,3,4]=>[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]
[2,5,7,1,6,4,3]=>[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]
[2,5,7,3,1,4,6]=>[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]
[2,5,7,3,1,6,4]=>[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]
[2,5,7,3,4,1,6]=>[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]
[2,5,7,3,4,6,1]=>[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]
[2,5,7,3,6,1,4]=>[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]
[2,5,7,3,6,4,1]=>[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]
[2,5,7,4,1,3,6]=>[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]
[2,5,7,4,1,6,3]=>[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]
[2,5,7,4,3,1,6]=>[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]
[2,5,7,4,3,6,1]=>[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]
[2,5,7,4,6,1,3]=>[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]
[2,5,7,4,6,3,1]=>[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]
[2,5,7,6,1,3,4]=>[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]
[2,5,7,6,1,4,3]=>[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]
[2,5,7,6,3,1,4]=>[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]
[2,5,7,6,3,4,1]=>[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]
[2,5,7,6,4,1,3]=>[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]
[2,5,7,6,4,3,1]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]
[2,6,1,3,4,5,7]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]
[2,6,1,3,4,7,5]=>[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]
[2,6,1,3,5,4,7]=>[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]
[2,6,1,3,5,7,4]=>[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]
[2,6,1,3,7,4,5]=>[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]
[2,6,1,3,7,5,4]=>[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]
[2,6,1,4,3,5,7]=>[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]
[2,6,1,4,3,7,5]=>[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]
[2,6,1,4,5,3,7]=>[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]
[2,6,1,4,5,7,3]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]
[2,6,1,4,7,3,5]=>[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]
[2,6,1,4,7,5,3]=>[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]
[2,6,1,5,3,4,7]=>[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]
[2,6,1,5,3,7,4]=>[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]
[2,6,1,5,4,3,7]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]
[2,6,1,5,4,7,3]=>[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]
[2,6,1,5,7,3,4]=>[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]
[2,6,1,5,7,4,3]=>[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]
[2,6,1,7,3,4,5]=>[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]
[2,6,1,7,3,5,4]=>[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]
[2,6,1,7,4,3,5]=>[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]
[2,6,1,7,4,5,3]=>[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]
[2,6,1,7,5,3,4]=>[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]
[2,6,1,7,5,4,3]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]
[2,6,3,1,4,5,7]=>[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]
[2,6,3,1,4,7,5]=>[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]
[2,6,3,1,5,4,7]=>[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]
[2,6,3,1,5,7,4]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]
[2,6,3,1,7,4,5]=>[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]
[2,6,3,1,7,5,4]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]
[2,6,3,4,1,5,7]=>[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]
[2,6,3,4,1,7,5]=>[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]
[2,6,3,4,5,1,7]=>[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]
[2,6,3,4,5,7,1]=>[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]
[2,6,3,4,7,1,5]=>[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]
[2,6,3,4,7,5,1]=>[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]
[2,6,3,5,1,4,7]=>[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]
[2,6,3,5,1,7,4]=>[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]
[2,6,3,5,4,1,7]=>[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]
[2,6,3,5,4,7,1]=>[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]
[2,6,3,5,7,1,4]=>[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]
[2,6,3,5,7,4,1]=>[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]
[2,6,3,7,1,4,5]=>[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]
[2,6,3,7,1,5,4]=>[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]
[2,6,3,7,4,1,5]=>[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]
[2,6,3,7,4,5,1]=>[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]
[2,6,3,7,5,1,4]=>[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]
[2,6,3,7,5,4,1]=>[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]
[2,6,4,1,3,5,7]=>[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]
[2,6,4,1,3,7,5]=>[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]
[2,6,4,1,5,3,7]=>[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]
[2,6,4,1,5,7,3]=>[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]
[2,6,4,1,7,3,5]=>[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]
[2,6,4,1,7,5,3]=>[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]
[2,6,4,3,1,7,5]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]
[2,6,4,3,5,1,7]=>[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]
[2,6,4,3,5,7,1]=>[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]
[2,6,4,3,7,1,5]=>[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]
[2,6,4,3,7,5,1]=>[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]
[2,6,4,5,1,3,7]=>[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]
[2,6,4,5,1,7,3]=>[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]
[2,6,4,5,3,1,7]=>[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]
[2,6,4,5,3,7,1]=>[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]
[2,6,4,5,7,1,3]=>[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]
[2,6,4,5,7,3,1]=>[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]
[2,6,4,7,1,3,5]=>[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]
[2,6,4,7,1,5,3]=>[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]
[2,6,4,7,3,1,5]=>[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]
[2,6,4,7,3,5,1]=>[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]
[2,6,4,7,5,1,3]=>[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]
[2,6,4,7,5,3,1]=>[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]
[2,6,5,1,3,4,7]=>[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]
[2,6,5,1,3,7,4]=>[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]
[2,6,5,1,4,3,7]=>[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]
[2,6,5,1,4,7,3]=>[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]
[2,6,5,1,7,3,4]=>[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]
[2,6,5,1,7,4,3]=>[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]
[2,6,5,3,1,4,7]=>[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]
[2,6,5,3,1,7,4]=>[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]
[2,6,5,3,4,1,7]=>[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]
[2,6,5,3,4,7,1]=>[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]
[2,6,5,3,7,1,4]=>[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]
[2,6,5,3,7,4,1]=>[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]
[2,6,5,4,1,3,7]=>[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]
[2,6,5,4,1,7,3]=>[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]
[2,6,5,4,3,1,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]
[2,6,5,4,3,7,1]=>[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]
[2,6,5,4,7,1,3]=>[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]
[2,6,5,4,7,3,1]=>[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]
[2,6,5,7,1,3,4]=>[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]
[2,6,5,7,1,4,3]=>[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]
[2,6,5,7,3,1,4]=>[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]
[2,6,5,7,3,4,1]=>[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]
[2,6,5,7,4,1,3]=>[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]
[2,6,5,7,4,3,1]=>[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]
[2,6,7,1,3,4,5]=>[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]
[2,6,7,1,3,5,4]=>[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]
[2,6,7,1,4,3,5]=>[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]
[2,6,7,1,4,5,3]=>[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]
[2,6,7,1,5,3,4]=>[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]
[2,6,7,1,5,4,3]=>[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]
[2,6,7,3,1,4,5]=>[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]
[2,6,7,3,1,5,4]=>[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]
[2,6,7,3,4,1,5]=>[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]
[2,6,7,3,4,5,1]=>[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]
[2,6,7,3,5,1,4]=>[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]
[2,6,7,3,5,4,1]=>[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]
[2,6,7,4,1,3,5]=>[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]
[2,6,7,4,1,5,3]=>[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]
[2,6,7,4,3,1,5]=>[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]
[2,6,7,4,3,5,1]=>[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]
[2,6,7,4,5,1,3]=>[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]
[2,6,7,4,5,3,1]=>[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]
[2,6,7,5,1,3,4]=>[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]
[2,6,7,5,1,4,3]=>[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]
[2,6,7,5,3,1,4]=>[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]
[2,6,7,5,3,4,1]=>[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]
[2,6,7,5,4,1,3]=>[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]
[2,6,7,5,4,3,1]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]
[2,7,1,3,4,5,6]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]
[2,7,1,3,4,6,5]=>[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]
[2,7,1,3,5,4,6]=>[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]
[2,7,1,3,5,6,4]=>[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]
[2,7,1,3,6,4,5]=>[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]
[2,7,1,3,6,5,4]=>[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]
[2,7,1,4,3,5,6]=>[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]
[2,7,1,4,3,6,5]=>[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]
[2,7,1,4,5,3,6]=>[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]
[2,7,1,4,5,6,3]=>[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]
[2,7,1,4,6,3,5]=>[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]
[2,7,1,4,6,5,3]=>[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]
[2,7,1,5,3,4,6]=>[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]
[2,7,1,5,3,6,4]=>[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]
[2,7,1,5,4,3,6]=>[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]
[2,7,1,5,4,6,3]=>[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]
[2,7,1,5,6,3,4]=>[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]
[2,7,1,5,6,4,3]=>[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]
[2,7,1,6,3,4,5]=>[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]
[2,7,1,6,3,5,4]=>[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]
[2,7,1,6,4,3,5]=>[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]
[2,7,1,6,4,5,3]=>[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]
[2,7,1,6,5,3,4]=>[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]
[2,7,1,6,5,4,3]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]
[2,7,3,1,4,5,6]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]
[2,7,3,1,4,6,5]=>[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]
[2,7,3,1,5,4,6]=>[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]
[2,7,3,1,5,6,4]=>[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]
[2,7,3,1,6,4,5]=>[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]
[2,7,3,1,6,5,4]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]
[2,7,3,4,1,5,6]=>[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]
[2,7,3,4,1,6,5]=>[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]
[2,7,3,4,5,1,6]=>[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]
[2,7,3,4,5,6,1]=>[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]
[2,7,3,4,6,1,5]=>[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]
[2,7,3,4,6,5,1]=>[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]
[2,7,3,5,1,4,6]=>[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]
[2,7,3,5,1,6,4]=>[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]
[2,7,3,5,4,1,6]=>[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]
[2,7,3,5,4,6,1]=>[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]
[2,7,3,5,6,1,4]=>[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]
[2,7,3,5,6,4,1]=>[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]
[2,7,3,6,1,4,5]=>[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]
[2,7,3,6,1,5,4]=>[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]
[2,7,3,6,4,1,5]=>[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]
[2,7,3,6,4,5,1]=>[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]
[2,7,3,6,5,1,4]=>[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]
[2,7,3,6,5,4,1]=>[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]
[2,7,4,1,3,5,6]=>[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]
[2,7,4,1,3,6,5]=>[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]
[2,7,4,1,5,3,6]=>[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]
[2,7,4,1,5,6,3]=>[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]
[2,7,4,1,6,3,5]=>[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]
[2,7,4,1,6,5,3]=>[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]
[2,7,4,3,1,5,6]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]
[2,7,4,3,1,6,5]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]
[2,7,4,3,5,1,6]=>[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]
[2,7,4,3,5,6,1]=>[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]
[2,7,4,3,6,1,5]=>[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]
[2,7,4,3,6,5,1]=>[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]
[2,7,4,5,1,3,6]=>[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]
[2,7,4,5,1,6,3]=>[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]
[2,7,4,5,3,1,6]=>[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]
[2,7,4,5,3,6,1]=>[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]
[2,7,4,5,6,1,3]=>[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]
[2,7,4,5,6,3,1]=>[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]
[2,7,4,6,1,3,5]=>[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]
[2,7,4,6,1,5,3]=>[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]
[2,7,4,6,3,1,5]=>[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]
[2,7,4,6,3,5,1]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]
[2,7,4,6,5,1,3]=>[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]
[2,7,4,6,5,3,1]=>[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]
[2,7,5,1,3,4,6]=>[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]
[2,7,5,1,3,6,4]=>[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]
[2,7,5,1,4,3,6]=>[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]
[2,7,5,1,4,6,3]=>[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]
[2,7,5,1,6,3,4]=>[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]
[2,7,5,1,6,4,3]=>[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]
[2,7,5,3,1,4,6]=>[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]
[2,7,5,3,1,6,4]=>[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]
[2,7,5,3,4,1,6]=>[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]
[2,7,5,3,4,6,1]=>[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]
[2,7,5,3,6,1,4]=>[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]
[2,7,5,3,6,4,1]=>[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]
[2,7,5,4,1,3,6]=>[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]
[2,7,5,4,1,6,3]=>[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]
[2,7,5,4,3,6,1]=>[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]
[2,7,5,4,6,1,3]=>[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]
[2,7,5,4,6,3,1]=>[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]
[2,7,5,6,1,3,4]=>[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]
[2,7,5,6,1,4,3]=>[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]
[2,7,5,6,3,1,4]=>[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]
[2,7,5,6,3,4,1]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]
[2,7,5,6,4,1,3]=>[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]
[2,7,5,6,4,3,1]=>[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]
[2,7,6,1,3,4,5]=>[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]
[2,7,6,1,3,5,4]=>[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]
[2,7,6,1,4,3,5]=>[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]
[2,7,6,1,4,5,3]=>[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]
[2,7,6,1,5,3,4]=>[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]
[2,7,6,1,5,4,3]=>[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]
[2,7,6,3,1,4,5]=>[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]
[2,7,6,3,1,5,4]=>[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]
[2,7,6,3,4,1,5]=>[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]
[2,7,6,3,4,5,1]=>[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]
[2,7,6,3,5,1,4]=>[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]
[2,7,6,3,5,4,1]=>[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]
[2,7,6,4,1,3,5]=>[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]
[2,7,6,4,1,5,3]=>[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]
[2,7,6,4,3,1,5]=>[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]
[2,7,6,4,3,5,1]=>[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]
[2,7,6,4,5,1,3]=>[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]
[2,7,6,4,5,3,1]=>[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]
[2,7,6,5,1,3,4]=>[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]
[2,7,6,5,1,4,3]=>[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]
[2,7,6,5,3,1,4]=>[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]
[2,7,6,5,3,4,1]=>[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]
[2,7,6,5,4,1,3]=>[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]
[2,7,6,5,4,3,1]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]
[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,4,6,7,5]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]
[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]
[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]
[3,1,2,5,6,7,4]=>[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,5,7,4,6]=>[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,5,7,6,4]=>[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]
[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]
[3,1,2,6,4,7,5]=>[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]
[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,2,6,5,7,4]=>[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,6,7,4,5]=>[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,6,7,5,4]=>[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]
[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,7,4,6,5]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]
[3,1,2,7,5,4,6]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]
[3,1,2,7,5,6,4]=>[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]
[3,1,2,7,6,4,5]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]
[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]
[3,1,4,2,6,7,5]=>[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]
[3,1,4,2,7,5,6]=>[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]
[3,1,4,5,2,6,7]=>[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]
[3,1,4,5,2,7,6]=>[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]
[3,1,4,5,6,2,7]=>[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]
[3,1,4,5,6,7,2]=>[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]
[3,1,4,5,7,2,6]=>[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]
[3,1,4,5,7,6,2]=>[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]
[3,1,4,6,2,5,7]=>[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]
[3,1,4,6,2,7,5]=>[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]
[3,1,4,6,5,2,7]=>[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]
[3,1,4,6,5,7,2]=>[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]
[3,1,4,6,7,2,5]=>[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]
[3,1,4,6,7,5,2]=>[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]
[3,1,4,7,2,5,6]=>[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]
[3,1,4,7,2,6,5]=>[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]
[3,1,4,7,5,2,6]=>[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]
[3,1,4,7,5,6,2]=>[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]
[3,1,4,7,6,2,5]=>[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]
[3,1,4,7,6,5,2]=>[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]
[3,1,5,2,4,6,7]=>[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]
[3,1,5,2,4,7,6]=>[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]
[3,1,5,2,6,4,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]
[3,1,5,2,6,7,4]=>[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]
[3,1,5,2,7,4,6]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]
[3,1,5,2,7,6,4]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]
[3,1,5,4,2,6,7]=>[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]
[3,1,5,4,2,7,6]=>[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]
[3,1,5,4,6,2,7]=>[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]
[3,1,5,4,6,7,2]=>[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]
[3,1,5,4,7,2,6]=>[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]
[3,1,5,4,7,6,2]=>[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]
[3,1,5,6,2,4,7]=>[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]
[3,1,5,6,2,7,4]=>[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]
[3,1,5,6,4,2,7]=>[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]
[3,1,5,6,4,7,2]=>[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]
[3,1,5,6,7,2,4]=>[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]
[3,1,5,6,7,4,2]=>[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]
[3,1,5,7,2,4,6]=>[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]
[3,1,5,7,2,6,4]=>[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]
[3,1,5,7,4,2,6]=>[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]
[3,1,5,7,4,6,2]=>[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]
[3,1,5,7,6,2,4]=>[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]
[3,1,5,7,6,4,2]=>[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]
[3,1,6,2,4,5,7]=>[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]
[3,1,6,2,4,7,5]=>[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]
[3,1,6,2,5,4,7]=>[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]
[3,1,6,2,5,7,4]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]
[3,1,6,2,7,4,5]=>[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]
[3,1,6,2,7,5,4]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]
[3,1,6,4,2,5,7]=>[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]
[3,1,6,4,2,7,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[3,1,6,4,5,2,7]=>[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]
[3,1,6,4,5,7,2]=>[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]
[3,1,6,4,7,2,5]=>[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]
[3,1,6,4,7,5,2]=>[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]
[3,1,6,5,2,4,7]=>[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]
[3,1,6,5,2,7,4]=>[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]
[3,1,6,5,4,2,7]=>[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]
[3,1,6,5,4,7,2]=>[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]
[3,1,6,5,7,2,4]=>[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]
[3,1,6,5,7,4,2]=>[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]
[3,1,6,7,2,4,5]=>[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]
[3,1,6,7,2,5,4]=>[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]
[3,1,6,7,4,2,5]=>[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]
[3,1,6,7,4,5,2]=>[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]
[3,1,6,7,5,2,4]=>[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]
[3,1,6,7,5,4,2]=>[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]
[3,1,7,2,4,5,6]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]
[3,1,7,2,4,6,5]=>[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]
[3,1,7,2,5,4,6]=>[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]
[3,1,7,2,5,6,4]=>[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]
[3,1,7,2,6,4,5]=>[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]
[3,1,7,2,6,5,4]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]
[3,1,7,4,2,5,6]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]
[3,1,7,4,2,6,5]=>[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[3,1,7,4,5,2,6]=>[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]
[3,1,7,4,5,6,2]=>[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]
[3,1,7,4,6,2,5]=>[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]
[3,1,7,4,6,5,2]=>[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]
[3,1,7,5,2,4,6]=>[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]
[3,1,7,5,2,6,4]=>[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]
[3,1,7,5,4,2,6]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[3,1,7,5,4,6,2]=>[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]
[3,1,7,5,6,2,4]=>[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]
[3,1,7,5,6,4,2]=>[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]
[3,1,7,6,2,4,5]=>[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]
[3,1,7,6,2,5,4]=>[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]
[3,1,7,6,4,2,5]=>[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]
[3,1,7,6,4,5,2]=>[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]
[3,1,7,6,5,2,4]=>[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]
[3,1,7,6,5,4,2]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]
[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]
[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]
[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,1,6,5,7,4]=>[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,6,7,4,5]=>[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,6,7,5,4]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]
[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,7,4,6,5]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]
[3,2,1,7,5,4,6]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]
[3,2,1,7,5,6,4]=>[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]
[3,2,1,7,6,4,5]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]
[3,2,4,1,5,6,7]=>[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]
[3,2,4,1,5,7,6]=>[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]
[3,2,4,1,6,5,7]=>[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]
[3,2,4,1,6,7,5]=>[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]
[3,2,4,1,7,5,6]=>[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]
[3,2,4,1,7,6,5]=>[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]
[3,2,4,5,1,6,7]=>[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]
[3,2,4,5,1,7,6]=>[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]
[3,2,4,5,6,1,7]=>[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]
[3,2,4,5,6,7,1]=>[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]
[3,2,4,5,7,1,6]=>[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]
[3,2,4,5,7,6,1]=>[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]
[3,2,4,6,1,5,7]=>[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]
[3,2,4,6,1,7,5]=>[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]
[3,2,4,6,5,1,7]=>[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]
[3,2,4,6,5,7,1]=>[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]
[3,2,4,6,7,1,5]=>[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]
[3,2,4,6,7,5,1]=>[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]
[3,2,4,7,1,5,6]=>[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]
[3,2,4,7,1,6,5]=>[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]
[3,2,4,7,5,1,6]=>[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]
[3,2,4,7,5,6,1]=>[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]
[3,2,4,7,6,1,5]=>[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]
[3,2,4,7,6,5,1]=>[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]
[3,2,5,1,4,6,7]=>[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]
[3,2,5,1,4,7,6]=>[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]
[3,2,5,1,6,4,7]=>[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]
[3,2,5,1,6,7,4]=>[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]
[3,2,5,1,7,4,6]=>[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]
[3,2,5,1,7,6,4]=>[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]
[3,2,5,4,1,6,7]=>[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]
[3,2,5,4,1,7,6]=>[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]
[3,2,5,4,6,1,7]=>[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]
[3,2,5,4,6,7,1]=>[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]
[3,2,5,4,7,1,6]=>[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]
[3,2,5,4,7,6,1]=>[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]
[3,2,5,6,1,4,7]=>[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]
[3,2,5,6,1,7,4]=>[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]
[3,2,5,6,4,1,7]=>[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]
[3,2,5,6,4,7,1]=>[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]
[3,2,5,6,7,1,4]=>[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]
[3,2,5,6,7,4,1]=>[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]
[3,2,5,7,1,4,6]=>[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]
[3,2,5,7,1,6,4]=>[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]
[3,2,5,7,4,1,6]=>[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]
[3,2,5,7,4,6,1]=>[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]
[3,2,5,7,6,1,4]=>[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]
[3,2,5,7,6,4,1]=>[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]
[3,2,6,1,4,5,7]=>[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]
[3,2,6,1,4,7,5]=>[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]
[3,2,6,1,5,4,7]=>[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]
[3,2,6,1,5,7,4]=>[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]
[3,2,6,1,7,4,5]=>[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]
[3,2,6,1,7,5,4]=>[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]
[3,2,6,4,1,5,7]=>[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]
[3,2,6,4,1,7,5]=>[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]
[3,2,6,4,5,1,7]=>[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]
[3,2,6,4,5,7,1]=>[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]
[3,2,6,4,7,1,5]=>[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]
[3,2,6,4,7,5,1]=>[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]
[3,2,6,5,1,4,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]
[3,2,6,5,1,7,4]=>[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]
[3,2,6,5,4,1,7]=>[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]
[3,2,6,5,4,7,1]=>[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]
[3,2,6,5,7,1,4]=>[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]
[3,2,6,5,7,4,1]=>[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]
[3,2,6,7,1,4,5]=>[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]
[3,2,6,7,1,5,4]=>[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]
[3,2,6,7,4,1,5]=>[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]
[3,2,6,7,4,5,1]=>[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]
[3,2,6,7,5,1,4]=>[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]
[3,2,6,7,5,4,1]=>[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]
[3,2,7,1,4,5,6]=>[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]
[3,2,7,1,4,6,5]=>[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]
[3,2,7,1,5,4,6]=>[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]
[3,2,7,1,5,6,4]=>[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]
[3,2,7,1,6,4,5]=>[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]
[3,2,7,1,6,5,4]=>[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]
[3,2,7,4,1,5,6]=>[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]
[3,2,7,4,1,6,5]=>[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]
[3,2,7,4,5,1,6]=>[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]
[3,2,7,4,5,6,1]=>[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]
[3,2,7,4,6,1,5]=>[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]
[3,2,7,4,6,5,1]=>[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]
[3,2,7,5,1,4,6]=>[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]
[3,2,7,5,1,6,4]=>[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]
[3,2,7,5,4,1,6]=>[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]
[3,2,7,5,4,6,1]=>[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]
[3,2,7,5,6,1,4]=>[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]
[3,2,7,5,6,4,1]=>[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]
[3,2,7,6,1,4,5]=>[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]
[3,2,7,6,1,5,4]=>[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]
[3,2,7,6,4,1,5]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]
[3,2,7,6,4,5,1]=>[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]
[3,2,7,6,5,1,4]=>[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]
[3,2,7,6,5,4,1]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]
[3,4,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]
[3,4,1,2,5,7,6]=>[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]
[3,4,1,2,6,5,7]=>[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]
[3,4,1,2,6,7,5]=>[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]
[3,4,1,2,7,5,6]=>[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]
[3,4,1,2,7,6,5]=>[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]
[3,4,1,5,2,6,7]=>[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]
[3,4,1,5,2,7,6]=>[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]
[3,4,1,5,6,2,7]=>[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]
[3,4,1,5,6,7,2]=>[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]
[3,4,1,5,7,2,6]=>[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]
[3,4,1,5,7,6,2]=>[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]
[3,4,1,6,2,5,7]=>[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]
[3,4,1,6,2,7,5]=>[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]
[3,4,1,6,5,2,7]=>[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]
[3,4,1,6,5,7,2]=>[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]
[3,4,1,6,7,2,5]=>[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]
[3,4,1,6,7,5,2]=>[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]
[3,4,1,7,2,5,6]=>[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]
[3,4,1,7,2,6,5]=>[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]
[3,4,1,7,5,2,6]=>[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]
[3,4,1,7,5,6,2]=>[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]
[3,4,1,7,6,2,5]=>[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]
[3,4,1,7,6,5,2]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]
[3,4,2,1,5,6,7]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]
[3,4,2,1,5,7,6]=>[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]
[3,4,2,1,6,5,7]=>[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]
[3,4,2,1,6,7,5]=>[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]
[3,4,2,1,7,5,6]=>[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]
[3,4,2,1,7,6,5]=>[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]
[3,4,2,5,1,6,7]=>[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]
[3,4,2,5,1,7,6]=>[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]
[3,4,2,5,6,1,7]=>[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]
[3,4,2,5,6,7,1]=>[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]
[3,4,2,5,7,1,6]=>[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]
[3,4,2,5,7,6,1]=>[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]
[3,4,2,6,1,5,7]=>[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]
[3,4,2,6,1,7,5]=>[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]
[3,4,2,6,5,1,7]=>[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]
[3,4,2,6,5,7,1]=>[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]
[3,4,2,6,7,1,5]=>[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]
[3,4,2,6,7,5,1]=>[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]
[3,4,2,7,1,5,6]=>[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]
[3,4,2,7,1,6,5]=>[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]
[3,4,2,7,5,1,6]=>[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]
[3,4,2,7,5,6,1]=>[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]
[3,4,2,7,6,1,5]=>[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]
[3,4,2,7,6,5,1]=>[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]
[3,4,5,1,2,6,7]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]
[3,4,5,1,2,7,6]=>[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]
[3,4,5,1,6,2,7]=>[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]
[3,4,5,1,6,7,2]=>[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]
[3,4,5,1,7,2,6]=>[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]
[3,4,5,1,7,6,2]=>[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]
[3,4,5,2,1,6,7]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]
[3,4,5,2,1,7,6]=>[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]
[3,4,5,2,6,1,7]=>[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]
[3,4,5,2,6,7,1]=>[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]
[3,4,5,2,7,1,6]=>[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]
[3,4,5,2,7,6,1]=>[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]
[3,4,5,6,1,2,7]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]
[3,4,5,6,1,7,2]=>[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]
[3,4,5,6,2,1,7]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]
[3,4,5,6,2,7,1]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]
[3,4,5,6,7,1,2]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]
[3,4,5,6,7,2,1]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]
[3,4,5,7,1,2,6]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]
[3,4,5,7,1,6,2]=>[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]
[3,4,5,7,2,1,6]=>[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]
[3,4,5,7,2,6,1]=>[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]
[3,4,5,7,6,1,2]=>[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]
[3,4,5,7,6,2,1]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]
[3,4,6,1,2,5,7]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]
[3,4,6,1,2,7,5]=>[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]
[3,4,6,1,5,2,7]=>[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]
[3,4,6,1,5,7,2]=>[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]
[3,4,6,1,7,2,5]=>[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]
[3,4,6,1,7,5,2]=>[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]
[3,4,6,2,1,5,7]=>[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]
[3,4,6,2,1,7,5]=>[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]
[3,4,6,2,5,1,7]=>[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]
[3,4,6,2,5,7,1]=>[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]
[3,4,6,2,7,1,5]=>[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]
[3,4,6,2,7,5,1]=>[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]
[3,4,6,5,1,2,7]=>[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]
[3,4,6,5,1,7,2]=>[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]
[3,4,6,5,2,1,7]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]
[3,4,6,5,2,7,1]=>[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]
[3,4,6,5,7,1,2]=>[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]
[3,4,6,5,7,2,1]=>[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]
[3,4,6,7,1,2,5]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]
[3,4,6,7,1,5,2]=>[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]
[3,4,6,7,2,1,5]=>[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]
[3,4,6,7,2,5,1]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]
[3,4,6,7,5,1,2]=>[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]
[3,4,6,7,5,2,1]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]
[3,4,7,1,2,5,6]=>[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]
[3,4,7,1,2,6,5]=>[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]
[3,4,7,1,5,2,6]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]
[3,4,7,1,5,6,2]=>[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]
[3,4,7,1,6,2,5]=>[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]
[3,4,7,1,6,5,2]=>[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]
[3,4,7,2,1,5,6]=>[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]
[3,4,7,2,1,6,5]=>[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]
[3,4,7,2,5,1,6]=>[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]
[3,4,7,2,5,6,1]=>[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]
[3,4,7,2,6,1,5]=>[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]
[3,4,7,2,6,5,1]=>[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]
[3,4,7,5,1,2,6]=>[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]
[3,4,7,5,1,6,2]=>[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]
[3,4,7,5,2,1,6]=>[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]
[3,4,7,5,2,6,1]=>[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]
[3,4,7,5,6,1,2]=>[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]
[3,4,7,5,6,2,1]=>[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]
[3,4,7,6,1,2,5]=>[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]
[3,4,7,6,1,5,2]=>[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]
[3,4,7,6,2,1,5]=>[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]
[3,4,7,6,2,5,1]=>[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]
[3,4,7,6,5,1,2]=>[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]
[3,4,7,6,5,2,1]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]
[3,5,1,2,4,6,7]=>[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]
[3,5,1,2,4,7,6]=>[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]
[3,5,1,2,6,4,7]=>[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]
[3,5,1,2,6,7,4]=>[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]
[3,5,1,2,7,4,6]=>[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]
[3,5,1,2,7,6,4]=>[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]
[3,5,1,4,2,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]
[3,5,1,4,2,7,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]
[3,5,1,4,6,2,7]=>[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]
[3,5,1,4,6,7,2]=>[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]
[3,5,1,4,7,2,6]=>[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]
[3,5,1,4,7,6,2]=>[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]
[3,5,1,6,2,4,7]=>[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]
[3,5,1,6,2,7,4]=>[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]
[3,5,1,6,4,2,7]=>[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]
[3,5,1,6,4,7,2]=>[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]
[3,5,1,6,7,2,4]=>[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]
[3,5,1,6,7,4,2]=>[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]
[3,5,1,7,2,4,6]=>[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]
[3,5,1,7,2,6,4]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]
[3,5,1,7,4,2,6]=>[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]
[3,5,1,7,4,6,2]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]
[3,5,1,7,6,2,4]=>[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]
[3,5,1,7,6,4,2]=>[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]
[3,5,2,1,4,6,7]=>[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]
[3,5,2,1,4,7,6]=>[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]
[3,5,2,1,6,4,7]=>[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]
[3,5,2,1,6,7,4]=>[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]
[3,5,2,1,7,4,6]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]
[3,5,2,1,7,6,4]=>[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]
[3,5,2,4,1,6,7]=>[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]
[3,5,2,4,1,7,6]=>[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]
[3,5,2,4,6,1,7]=>[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]
[3,5,2,4,6,7,1]=>[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]
[3,5,2,4,7,1,6]=>[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]
[3,5,2,4,7,6,1]=>[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]
[3,5,2,6,1,4,7]=>[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]
[3,5,2,6,1,7,4]=>[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]
[3,5,2,6,4,1,7]=>[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]
[3,5,2,6,4,7,1]=>[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]
[3,5,2,6,7,1,4]=>[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]
[3,5,2,6,7,4,1]=>[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]
[3,5,2,7,1,4,6]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]
[3,5,2,7,1,6,4]=>[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]
[3,5,2,7,4,1,6]=>[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]
[3,5,2,7,4,6,1]=>[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]
[3,5,2,7,6,1,4]=>[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]
[3,5,2,7,6,4,1]=>[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]
[3,5,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]
[3,5,4,1,2,7,6]=>[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]
[3,5,4,1,6,2,7]=>[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]
[3,5,4,1,6,7,2]=>[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]
[3,5,4,1,7,2,6]=>[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]
[3,5,4,1,7,6,2]=>[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]
[3,5,4,2,1,6,7]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]
[3,5,4,2,1,7,6]=>[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]
[3,5,4,2,6,1,7]=>[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]
[3,5,4,2,6,7,1]=>[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]
[3,5,4,2,7,1,6]=>[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]
[3,5,4,2,7,6,1]=>[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]
[3,5,4,6,1,2,7]=>[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]
[3,5,4,6,1,7,2]=>[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]
[3,5,4,6,2,1,7]=>[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]
[3,5,4,6,2,7,1]=>[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]
[3,5,4,6,7,1,2]=>[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]
[3,5,4,6,7,2,1]=>[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]
[3,5,4,7,1,2,6]=>[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]
[3,5,4,7,1,6,2]=>[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]
[3,5,4,7,2,1,6]=>[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]
[3,5,4,7,2,6,1]=>[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]
[3,5,4,7,6,1,2]=>[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]
[3,5,4,7,6,2,1]=>[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]
[3,5,6,1,2,4,7]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]
[3,5,6,1,2,7,4]=>[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]
[3,5,6,1,4,2,7]=>[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]
[3,5,6,1,4,7,2]=>[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]
[3,5,6,1,7,2,4]=>[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]
[3,5,6,1,7,4,2]=>[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]
[3,5,6,2,1,4,7]=>[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]
[3,5,6,2,1,7,4]=>[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]
[3,5,6,2,4,1,7]=>[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]
[3,5,6,2,4,7,1]=>[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]
[3,5,6,2,7,1,4]=>[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]
[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]
[3,5,6,4,1,2,7]=>[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]
[3,5,6,4,1,7,2]=>[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]
[3,5,6,4,2,1,7]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]
[3,5,6,4,2,7,1]=>[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]
[3,5,6,4,7,1,2]=>[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]
[3,5,6,4,7,2,1]=>[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]
[3,5,6,7,1,2,4]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]
[3,5,6,7,1,4,2]=>[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]
[3,5,6,7,2,1,4]=>[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]
[3,5,6,7,2,4,1]=>[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]
[3,5,6,7,4,1,2]=>[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]
[3,5,6,7,4,2,1]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]
[3,5,7,1,2,4,6]=>[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]
[3,5,7,1,2,6,4]=>[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]
[3,5,7,1,4,2,6]=>[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]
[3,5,7,1,4,6,2]=>[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]
[3,5,7,1,6,2,4]=>[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]
[3,5,7,1,6,4,2]=>[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]
[3,5,7,2,1,4,6]=>[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]
[3,5,7,2,1,6,4]=>[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]
[3,5,7,2,4,1,6]=>[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]
[3,5,7,2,4,6,1]=>[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]
[3,5,7,2,6,1,4]=>[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]
[3,5,7,2,6,4,1]=>[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]
[3,5,7,4,1,2,6]=>[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]
[3,5,7,4,1,6,2]=>[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]
[3,5,7,4,2,1,6]=>[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]
[3,5,7,4,2,6,1]=>[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]
[3,5,7,4,6,1,2]=>[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]
[3,5,7,4,6,2,1]=>[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]
[3,5,7,6,1,2,4]=>[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]
[3,5,7,6,1,4,2]=>[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]
[3,5,7,6,2,1,4]=>[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]
[3,5,7,6,2,4,1]=>[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]
[3,5,7,6,4,1,2]=>[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]
[3,5,7,6,4,2,1]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]
[3,6,1,2,4,5,7]=>[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]
[3,6,1,2,4,7,5]=>[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]
[3,6,1,2,5,4,7]=>[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]
[3,6,1,2,5,7,4]=>[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]
[3,6,1,2,7,4,5]=>[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]
[3,6,1,2,7,5,4]=>[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]
[3,6,1,4,2,5,7]=>[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]
[3,6,1,4,2,7,5]=>[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]
[3,6,1,4,5,2,7]=>[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]
[3,6,1,4,5,7,2]=>[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]
[3,6,1,4,7,2,5]=>[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]
[3,6,1,4,7,5,2]=>[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]
[3,6,1,5,2,4,7]=>[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]
[3,6,1,5,2,7,4]=>[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]
[3,6,1,5,4,2,7]=>[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]
[3,6,1,5,4,7,2]=>[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]
[3,6,1,5,7,2,4]=>[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]
[3,6,1,5,7,4,2]=>[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]
[3,6,1,7,2,4,5]=>[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]
[3,6,1,7,2,5,4]=>[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]
[3,6,1,7,4,2,5]=>[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]
[3,6,1,7,4,5,2]=>[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]
[3,6,1,7,5,2,4]=>[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]
[3,6,1,7,5,4,2]=>[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]
[3,6,2,1,4,5,7]=>[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]
[3,6,2,1,4,7,5]=>[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]
[3,6,2,1,5,4,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]
[3,6,2,1,5,7,4]=>[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]
[3,6,2,1,7,4,5]=>[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]
[3,6,2,1,7,5,4]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]
[3,6,2,4,1,5,7]=>[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]
[3,6,2,4,1,7,5]=>[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]
[3,6,2,4,5,1,7]=>[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]
[3,6,2,4,5,7,1]=>[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]
[3,6,2,4,7,1,5]=>[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]
[3,6,2,4,7,5,1]=>[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]
[3,6,2,5,1,4,7]=>[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]
[3,6,2,5,1,7,4]=>[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]
[3,6,2,5,4,1,7]=>[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]
[3,6,2,5,4,7,1]=>[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]
[3,6,2,5,7,1,4]=>[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]
[3,6,2,5,7,4,1]=>[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]
[3,6,2,7,1,4,5]=>[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]
[3,6,2,7,1,5,4]=>[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]
[3,6,2,7,4,1,5]=>[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]
[3,6,2,7,4,5,1]=>[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]
[3,6,2,7,5,1,4]=>[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]
[3,6,2,7,5,4,1]=>[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]
[3,6,4,1,2,5,7]=>[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]
[3,6,4,1,2,7,5]=>[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]
[3,6,4,1,5,2,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]
[3,6,4,1,5,7,2]=>[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]
[3,6,4,1,7,2,5]=>[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]
[3,6,4,1,7,5,2]=>[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]
[3,6,4,2,1,5,7]=>[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]
[3,6,4,2,1,7,5]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]
[3,6,4,2,5,1,7]=>[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]
[3,6,4,2,5,7,1]=>[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]
[3,6,4,2,7,1,5]=>[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]
[3,6,4,2,7,5,1]=>[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]
[3,6,4,5,1,2,7]=>[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]
[3,6,4,5,1,7,2]=>[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]
[3,6,4,5,2,1,7]=>[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]
[3,6,4,5,2,7,1]=>[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]
[3,6,4,5,7,1,2]=>[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]
[3,6,4,5,7,2,1]=>[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]
[3,6,4,7,1,2,5]=>[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]
[3,6,4,7,1,5,2]=>[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]
[3,6,4,7,2,1,5]=>[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]
[3,6,4,7,2,5,1]=>[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]
[3,6,4,7,5,1,2]=>[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]
[3,6,4,7,5,2,1]=>[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]
[3,6,5,1,2,4,7]=>[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]
[3,6,5,1,2,7,4]=>[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]
[3,6,5,1,4,2,7]=>[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]
[3,6,5,1,4,7,2]=>[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]
[3,6,5,1,7,2,4]=>[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]
[3,6,5,1,7,4,2]=>[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]
[3,6,5,2,1,4,7]=>[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]
[3,6,5,2,1,7,4]=>[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]
[3,6,5,2,4,1,7]=>[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]
[3,6,5,2,4,7,1]=>[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]
[3,6,5,2,7,1,4]=>[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]
[3,6,5,2,7,4,1]=>[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]
[3,6,5,4,1,2,7]=>[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]
[3,6,5,4,1,7,2]=>[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]
[3,6,5,4,2,1,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]
[3,6,5,4,2,7,1]=>[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]
[3,6,5,4,7,1,2]=>[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]
[3,6,5,4,7,2,1]=>[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]
[3,6,5,7,1,2,4]=>[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]
[3,6,5,7,1,4,2]=>[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]
[3,6,5,7,2,1,4]=>[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]
[3,6,5,7,2,4,1]=>[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]
[3,6,5,7,4,1,2]=>[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]
[3,6,5,7,4,2,1]=>[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]
[3,6,7,1,2,4,5]=>[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]
[3,6,7,1,2,5,4]=>[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]
[3,6,7,1,4,2,5]=>[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]
[3,6,7,1,4,5,2]=>[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]
[3,6,7,1,5,2,4]=>[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]
[3,6,7,1,5,4,2]=>[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]
[3,6,7,2,1,4,5]=>[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]
[3,6,7,2,1,5,4]=>[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]
[3,6,7,2,4,1,5]=>[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]
[3,6,7,2,4,5,1]=>[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]
[3,6,7,2,5,1,4]=>[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]
[3,6,7,2,5,4,1]=>[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]
[3,6,7,4,1,2,5]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]
[3,6,7,4,1,5,2]=>[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]
[3,6,7,4,2,1,5]=>[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]
[3,6,7,4,2,5,1]=>[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]
[3,6,7,4,5,1,2]=>[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]
[3,6,7,4,5,2,1]=>[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]
[3,6,7,5,1,2,4]=>[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]
[3,6,7,5,1,4,2]=>[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]
[3,6,7,5,2,1,4]=>[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]
[3,6,7,5,2,4,1]=>[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]
[3,6,7,5,4,1,2]=>[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]
[3,6,7,5,4,2,1]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]
[3,7,1,2,4,5,6]=>[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]
[3,7,1,2,4,6,5]=>[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]
[3,7,1,2,5,4,6]=>[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]
[3,7,1,2,5,6,4]=>[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]
[3,7,1,2,6,4,5]=>[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]
[3,7,1,2,6,5,4]=>[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]
[3,7,1,4,2,5,6]=>[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]
[3,7,1,4,2,6,5]=>[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]
[3,7,1,4,5,2,6]=>[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]
[3,7,1,4,5,6,2]=>[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]
[3,7,1,4,6,2,5]=>[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]
[3,7,1,4,6,5,2]=>[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]
[3,7,1,5,2,4,6]=>[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]
[3,7,1,5,2,6,4]=>[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]
[3,7,1,5,4,2,6]=>[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]
[3,7,1,5,4,6,2]=>[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]
[3,7,1,5,6,2,4]=>[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]
[3,7,1,5,6,4,2]=>[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]
[3,7,1,6,2,4,5]=>[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]
[3,7,1,6,2,5,4]=>[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]
[3,7,1,6,4,2,5]=>[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]
[3,7,1,6,4,5,2]=>[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]
[3,7,1,6,5,2,4]=>[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]
[3,7,1,6,5,4,2]=>[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]
[3,7,2,1,4,5,6]=>[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]
[3,7,2,1,4,6,5]=>[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]
[3,7,2,1,5,4,6]=>[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]
[3,7,2,1,5,6,4]=>[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]
[3,7,2,1,6,4,5]=>[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]
[3,7,2,1,6,5,4]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]
[3,7,2,4,1,5,6]=>[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]
[3,7,2,4,1,6,5]=>[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]
[3,7,2,4,5,1,6]=>[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]
[3,7,2,4,5,6,1]=>[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]
[3,7,2,4,6,1,5]=>[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]
[3,7,2,4,6,5,1]=>[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]
[3,7,2,5,1,4,6]=>[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]
[3,7,2,5,1,6,4]=>[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]
[3,7,2,5,4,1,6]=>[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]
[3,7,2,5,4,6,1]=>[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]
[3,7,2,5,6,1,4]=>[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]
[3,7,2,5,6,4,1]=>[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]
[3,7,2,6,1,4,5]=>[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]
[3,7,2,6,1,5,4]=>[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]
[3,7,2,6,4,1,5]=>[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]
[3,7,2,6,4,5,1]=>[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]
[3,7,2,6,5,1,4]=>[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]
[3,7,2,6,5,4,1]=>[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]
[3,7,4,1,2,5,6]=>[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]
[3,7,4,1,2,6,5]=>[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]
[3,7,4,1,5,2,6]=>[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]
[3,7,4,1,5,6,2]=>[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]
[3,7,4,1,6,2,5]=>[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]
[3,7,4,1,6,5,2]=>[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]
[3,7,4,2,1,5,6]=>[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]
[3,7,4,2,1,6,5]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]
[3,7,4,2,5,1,6]=>[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]
[3,7,4,2,5,6,1]=>[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]
[3,7,4,2,6,1,5]=>[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]
[3,7,4,2,6,5,1]=>[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]
[3,7,4,5,1,2,6]=>[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]
[3,7,4,5,1,6,2]=>[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]
[3,7,4,5,2,1,6]=>[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]
[3,7,4,5,2,6,1]=>[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]
[3,7,4,5,6,1,2]=>[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]
[3,7,4,5,6,2,1]=>[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]
[3,7,4,6,1,2,5]=>[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]
[3,7,4,6,1,5,2]=>[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]
[3,7,4,6,2,1,5]=>[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]
[3,7,4,6,2,5,1]=>[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]
[3,7,4,6,5,1,2]=>[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]
[3,7,4,6,5,2,1]=>[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]
[3,7,5,1,2,4,6]=>[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]
[3,7,5,1,2,6,4]=>[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]
[3,7,5,1,4,2,6]=>[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]
[3,7,5,1,4,6,2]=>[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]
[3,7,5,1,6,2,4]=>[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]
[3,7,5,1,6,4,2]=>[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]
[3,7,5,2,1,4,6]=>[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]
[3,7,5,2,1,6,4]=>[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]
[3,7,5,2,4,1,6]=>[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]
[3,7,5,2,4,6,1]=>[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]
[3,7,5,2,6,1,4]=>[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]
[3,7,5,2,6,4,1]=>[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]
[3,7,5,4,1,2,6]=>[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]
[3,7,5,4,1,6,2]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]
[3,7,5,4,2,1,6]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]
[3,7,5,4,2,6,1]=>[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]
[3,7,5,4,6,1,2]=>[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]
[3,7,5,4,6,2,1]=>[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]
[3,7,5,6,1,2,4]=>[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]
[3,7,5,6,1,4,2]=>[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]
[3,7,5,6,2,1,4]=>[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]
[3,7,5,6,2,4,1]=>[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]
[3,7,5,6,4,1,2]=>[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]
[3,7,5,6,4,2,1]=>[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]
[3,7,6,1,2,4,5]=>[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]
[3,7,6,1,2,5,4]=>[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]
[3,7,6,1,4,2,5]=>[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]
[3,7,6,1,4,5,2]=>[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]
[3,7,6,1,5,2,4]=>[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]
[3,7,6,1,5,4,2]=>[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]
[3,7,6,2,1,4,5]=>[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]
[3,7,6,2,1,5,4]=>[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]
[3,7,6,2,4,1,5]=>[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]
[3,7,6,2,4,5,1]=>[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]
[3,7,6,2,5,1,4]=>[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]
[3,7,6,2,5,4,1]=>[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]
[3,7,6,4,1,2,5]=>[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]
[3,7,6,4,1,5,2]=>[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]
[3,7,6,4,2,1,5]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]
[3,7,6,4,2,5,1]=>[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]
[3,7,6,4,5,1,2]=>[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]
[3,7,6,4,5,2,1]=>[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]
[3,7,6,5,1,2,4]=>[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]
[3,7,6,5,1,4,2]=>[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]
[3,7,6,5,2,1,4]=>[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]
[3,7,6,5,2,4,1]=>[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]
[3,7,6,5,4,1,2]=>[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]
[3,7,6,5,4,2,1]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]
[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]
[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]
[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]
[4,1,2,3,6,7,5]=>[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]
[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]
[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]
[4,1,2,5,3,6,7]=>[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]
[4,1,2,5,3,7,6]=>[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]
[4,1,2,5,6,3,7]=>[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]
[4,1,2,5,6,7,3]=>[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]
[4,1,2,5,7,3,6]=>[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]
[4,1,2,5,7,6,3]=>[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]
[4,1,2,6,3,5,7]=>[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]
[4,1,2,6,3,7,5]=>[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]
[4,1,2,6,5,3,7]=>[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]
[4,1,2,6,5,7,3]=>[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]
[4,1,2,6,7,3,5]=>[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]
[4,1,2,6,7,5,3]=>[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]
[4,1,2,7,3,5,6]=>[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]
[4,1,2,7,3,6,5]=>[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]
[4,1,2,7,5,3,6]=>[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]
[4,1,2,7,5,6,3]=>[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]
[4,1,2,7,6,3,5]=>[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]
[4,1,2,7,6,5,3]=>[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]
[4,1,3,2,5,6,7]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]
[4,1,3,2,5,7,6]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]
[4,1,3,2,6,5,7]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]
[4,1,3,2,6,7,5]=>[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]
[4,1,3,2,7,5,6]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]
[4,1,3,2,7,6,5]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]
[4,1,3,5,6,2,7]=>[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]
[4,1,3,5,6,7,2]=>[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]
[4,1,3,5,7,2,6]=>[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]
[4,1,3,5,7,6,2]=>[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]
[4,1,3,6,2,5,7]=>[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]
[4,1,3,6,2,7,5]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]
[4,1,3,6,5,2,7]=>[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]
[4,1,3,6,5,7,2]=>[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]
[4,1,3,6,7,2,5]=>[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]
[4,1,3,6,7,5,2]=>[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]
[4,1,3,7,2,5,6]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]
[4,1,3,7,2,6,5]=>[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]
[4,1,3,7,5,2,6]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]
[4,1,3,7,5,6,2]=>[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]
[4,1,3,7,6,2,5]=>[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]
[4,1,3,7,6,5,2]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]
[4,1,5,2,3,6,7]=>[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]
[4,1,5,2,3,7,6]=>[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]
[4,1,5,2,6,3,7]=>[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]
[4,1,5,2,6,7,3]=>[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]
[4,1,5,2,7,3,6]=>[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]
[4,1,5,2,7,6,3]=>[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]
[4,1,5,3,2,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]
[4,1,5,3,2,7,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]
[4,1,5,3,6,2,7]=>[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]
[4,1,5,3,6,7,2]=>[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]
[4,1,5,3,7,2,6]=>[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]
[4,1,5,3,7,6,2]=>[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]
[4,1,5,6,2,3,7]=>[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]
[4,1,5,6,2,7,3]=>[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]
[4,1,5,6,3,2,7]=>[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]
[4,1,5,6,3,7,2]=>[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]
[4,1,5,6,7,2,3]=>[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]
[4,1,5,6,7,3,2]=>[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]
[4,1,5,7,2,3,6]=>[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]
[4,1,5,7,2,6,3]=>[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]
[4,1,5,7,3,2,6]=>[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]
[4,1,5,7,3,6,2]=>[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]
[4,1,5,7,6,2,3]=>[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]
[4,1,5,7,6,3,2]=>[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]
[4,1,6,2,3,5,7]=>[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]
[4,1,6,2,3,7,5]=>[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]
[4,1,6,2,5,3,7]=>[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]
[4,1,6,2,5,7,3]=>[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]
[4,1,6,2,7,3,5]=>[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]
[4,1,6,2,7,5,3]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]
[4,1,6,3,2,5,7]=>[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]
[4,1,6,3,2,7,5]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]
[4,1,6,3,5,2,7]=>[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]
[4,1,6,3,5,7,2]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]
[4,1,6,3,7,2,5]=>[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]
[4,1,6,3,7,5,2]=>[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]
[4,1,6,5,2,3,7]=>[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]
[4,1,6,5,2,7,3]=>[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]
[4,1,6,5,3,2,7]=>[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]
[4,1,6,5,3,7,2]=>[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]
[4,1,6,5,7,2,3]=>[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]
[4,1,6,5,7,3,2]=>[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]
[4,1,6,7,2,3,5]=>[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]
[4,1,6,7,2,5,3]=>[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]
[4,1,6,7,3,2,5]=>[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]
[4,1,6,7,3,5,2]=>[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]
[4,1,6,7,5,2,3]=>[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]
[4,1,6,7,5,3,2]=>[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]
[4,1,7,2,3,5,6]=>[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]
[4,1,7,2,3,6,5]=>[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]
[4,1,7,2,5,3,6]=>[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]
[4,1,7,2,5,6,3]=>[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]
[4,1,7,2,6,3,5]=>[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]
[4,1,7,2,6,5,3]=>[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]
[4,1,7,3,2,5,6]=>[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]
[4,1,7,3,2,6,5]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]
[4,1,7,3,5,2,6]=>[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]
[4,1,7,3,5,6,2]=>[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]
[4,1,7,3,6,2,5]=>[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]
[4,1,7,3,6,5,2]=>[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]
[4,1,7,5,2,3,6]=>[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]
[4,1,7,5,2,6,3]=>[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]
[4,1,7,5,3,2,6]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]
[4,1,7,5,3,6,2]=>[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]
[4,1,7,5,6,2,3]=>[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]
[4,1,7,5,6,3,2]=>[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]
[4,1,7,6,2,3,5]=>[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]
[4,1,7,6,2,5,3]=>[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]
[4,1,7,6,3,2,5]=>[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]
[4,1,7,6,3,5,2]=>[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]
[4,1,7,6,5,2,3]=>[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]
[4,1,7,6,5,3,2]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[4,2,1,3,5,6,7]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]
[4,2,1,3,5,7,6]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]
[4,2,1,3,6,5,7]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]
[4,2,1,3,6,7,5]=>[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]
[4,2,1,3,7,5,6]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]
[4,2,1,3,7,6,5]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]
[4,2,1,5,3,6,7]=>[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]
[4,2,1,5,3,7,6]=>[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]
[4,2,1,5,6,3,7]=>[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]
[4,2,1,5,6,7,3]=>[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]
[4,2,1,5,7,3,6]=>[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]
[4,2,1,5,7,6,3]=>[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]
[4,2,1,6,3,5,7]=>[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]
[4,2,1,6,3,7,5]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]
[4,2,1,6,5,3,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]
[4,2,1,6,5,7,3]=>[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]
[4,2,1,6,7,3,5]=>[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]
[4,2,1,6,7,5,3]=>[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]
[4,2,1,7,3,5,6]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]
[4,2,1,7,3,6,5]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]
[4,2,1,7,5,3,6]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[4,2,1,7,5,6,3]=>[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]
[4,2,1,7,6,3,5]=>[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]
[4,2,1,7,6,5,3]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[4,2,3,1,5,6,7]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]
[4,2,3,1,5,7,6]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]
[4,2,3,1,6,5,7]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]
[4,2,3,1,6,7,5]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]
[4,2,3,1,7,5,6]=>[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]
[4,2,3,1,7,6,5]=>[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]
[4,2,3,5,1,6,7]=>[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]
[4,2,3,5,1,7,6]=>[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]
[4,2,3,5,6,1,7]=>[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]
[4,2,3,5,6,7,1]=>[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]
[4,2,3,5,7,1,6]=>[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]
[4,2,3,5,7,6,1]=>[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]
[4,2,3,6,1,5,7]=>[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]
[4,2,3,6,1,7,5]=>[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]
[4,2,3,6,5,1,7]=>[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]
[4,2,3,6,5,7,1]=>[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]
[4,2,3,6,7,1,5]=>[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]
[4,2,3,6,7,5,1]=>[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]
[4,2,3,7,1,5,6]=>[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]
[4,2,3,7,1,6,5]=>[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]
[4,2,3,7,5,1,6]=>[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]
[4,2,3,7,5,6,1]=>[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]
[4,2,3,7,6,1,5]=>[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]
[4,2,3,7,6,5,1]=>[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]
[4,2,5,1,3,6,7]=>[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]
[4,2,5,1,3,7,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]
[4,2,5,1,6,3,7]=>[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]
[4,2,5,1,6,7,3]=>[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]
[4,2,5,1,7,3,6]=>[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]
[4,2,5,1,7,6,3]=>[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]
[4,2,5,3,1,6,7]=>[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]
[4,2,5,3,1,7,6]=>[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]
[4,2,5,3,6,1,7]=>[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]
[4,2,5,3,6,7,1]=>[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]
[4,2,5,3,7,1,6]=>[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]
[4,2,5,3,7,6,1]=>[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]
[4,2,5,6,1,3,7]=>[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]
[4,2,5,6,1,7,3]=>[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]
[4,2,5,6,3,1,7]=>[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]
[4,2,5,6,3,7,1]=>[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]
[4,2,5,6,7,1,3]=>[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]
[4,2,5,6,7,3,1]=>[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]
[4,2,5,7,1,3,6]=>[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]
[4,2,5,7,1,6,3]=>[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]
[4,2,5,7,3,1,6]=>[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]
[4,2,5,7,3,6,1]=>[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]
[4,2,5,7,6,1,3]=>[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]
[4,2,5,7,6,3,1]=>[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]
[4,2,6,1,3,5,7]=>[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]
[4,2,6,1,3,7,5]=>[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]
[4,2,6,1,5,3,7]=>[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]
[4,2,6,1,5,7,3]=>[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]
[4,2,6,1,7,3,5]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]
[4,2,6,1,7,5,3]=>[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]
[4,2,6,3,1,5,7]=>[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]
[4,2,6,3,1,7,5]=>[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]
[4,2,6,3,5,1,7]=>[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]
[4,2,6,3,5,7,1]=>[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]
[4,2,6,3,7,1,5]=>[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]
[4,2,6,3,7,5,1]=>[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]
[4,2,6,5,1,3,7]=>[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]
[4,2,6,5,1,7,3]=>[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]
[4,2,6,5,3,1,7]=>[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]
[4,2,6,5,3,7,1]=>[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]
[4,2,6,5,7,1,3]=>[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]
[4,2,6,5,7,3,1]=>[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]
[4,2,6,7,1,3,5]=>[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]
[4,2,6,7,1,5,3]=>[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]
[4,2,6,7,3,1,5]=>[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]
[4,2,6,7,3,5,1]=>[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]
[4,2,6,7,5,1,3]=>[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]
[4,2,6,7,5,3,1]=>[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]
[4,2,7,1,3,5,6]=>[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]
[4,2,7,1,3,6,5]=>[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]
[4,2,7,1,5,3,6]=>[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]
[4,2,7,1,5,6,3]=>[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]
[4,2,7,1,6,3,5]=>[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]
[4,2,7,1,6,5,3]=>[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]
[4,2,7,3,1,5,6]=>[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]
[4,2,7,3,1,6,5]=>[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]
[4,2,7,3,5,1,6]=>[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]
[4,2,7,3,5,6,1]=>[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]
[4,2,7,3,6,1,5]=>[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]
[4,2,7,3,6,5,1]=>[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]
[4,2,7,5,1,3,6]=>[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]
[4,2,7,5,1,6,3]=>[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]
[4,2,7,5,3,1,6]=>[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]
[4,2,7,5,3,6,1]=>[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]
[4,2,7,5,6,1,3]=>[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]
[4,2,7,5,6,3,1]=>[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]
[4,2,7,6,1,3,5]=>[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]
[4,2,7,6,1,5,3]=>[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]
[4,2,7,6,3,1,5]=>[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]
[4,2,7,6,3,5,1]=>[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]
[4,2,7,6,5,1,3]=>[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]
[4,2,7,6,5,3,1]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]
[4,3,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]
[4,3,1,2,5,7,6]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]
[4,3,1,2,6,5,7]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]
[4,3,1,2,6,7,5]=>[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]
[4,3,1,2,7,5,6]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]
[4,3,1,2,7,6,5]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]
[4,3,1,5,2,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]
[4,3,1,5,2,7,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]
[4,3,1,5,6,2,7]=>[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]
[4,3,1,5,6,7,2]=>[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]
[4,3,1,5,7,2,6]=>[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]
[4,3,1,5,7,6,2]=>[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]
[4,3,1,6,2,5,7]=>[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]
[4,3,1,6,2,7,5]=>[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]
[4,3,1,6,5,2,7]=>[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]
[4,3,1,6,5,7,2]=>[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]
[4,3,1,6,7,2,5]=>[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]
[4,3,1,6,7,5,2]=>[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]
[4,3,1,7,2,5,6]=>[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]
[4,3,1,7,2,6,5]=>[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]
[4,3,1,7,5,2,6]=>[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]
[4,3,1,7,5,6,2]=>[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]
[4,3,1,7,6,2,5]=>[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]
[4,3,1,7,6,5,2]=>[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]
[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]
[4,3,2,5,1,6,7]=>[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]
[4,3,2,5,1,7,6]=>[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]
[4,3,2,5,6,1,7]=>[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]
[4,3,2,5,6,7,1]=>[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]
[4,3,2,5,7,1,6]=>[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]
[4,3,2,5,7,6,1]=>[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]
[4,3,2,6,1,5,7]=>[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]
[4,3,2,6,1,7,5]=>[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]
[4,3,2,6,5,1,7]=>[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]
[4,3,2,6,5,7,1]=>[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]
[4,3,2,6,7,1,5]=>[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]
[4,3,2,6,7,5,1]=>[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]
[4,3,2,7,1,5,6]=>[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]
[4,3,2,7,1,6,5]=>[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]
[4,3,2,7,5,1,6]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]
[4,3,2,7,5,6,1]=>[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]
[4,3,2,7,6,1,5]=>[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]
[4,3,2,7,6,5,1]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]
[4,3,5,1,2,6,7]=>[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]
[4,3,5,1,2,7,6]=>[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]
[4,3,5,1,6,2,7]=>[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]
[4,3,5,1,6,7,2]=>[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]
[4,3,5,1,7,2,6]=>[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]
[4,3,5,1,7,6,2]=>[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]
[4,3,5,2,1,6,7]=>[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]
[4,3,5,2,1,7,6]=>[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]
[4,3,5,2,6,1,7]=>[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]
[4,3,5,2,6,7,1]=>[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]
[4,3,5,2,7,1,6]=>[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]
[4,3,5,2,7,6,1]=>[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]
[4,3,5,6,1,2,7]=>[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]
[4,3,5,6,1,7,2]=>[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]
[4,3,5,6,2,1,7]=>[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]
[4,3,5,6,2,7,1]=>[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]
[4,3,5,6,7,1,2]=>[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]
[4,3,5,6,7,2,1]=>[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]
[4,3,5,7,1,2,6]=>[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]
[4,3,5,7,1,6,2]=>[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]
[4,3,5,7,2,1,6]=>[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]
[4,3,5,7,2,6,1]=>[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]
[4,3,5,7,6,1,2]=>[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]
[4,3,5,7,6,2,1]=>[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]
[4,3,6,1,2,5,7]=>[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]
[4,3,6,1,2,7,5]=>[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]
[4,3,6,1,5,2,7]=>[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]
[4,3,6,1,5,7,2]=>[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]
[4,3,6,1,7,2,5]=>[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]
[4,3,6,1,7,5,2]=>[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]
[4,3,6,2,1,5,7]=>[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]
[4,3,6,2,1,7,5]=>[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]
[4,3,6,2,5,1,7]=>[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]
[4,3,6,2,5,7,1]=>[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]
[4,3,6,2,7,1,5]=>[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]
[4,3,6,2,7,5,1]=>[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]
[4,3,6,5,1,2,7]=>[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]
[4,3,6,5,1,7,2]=>[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]
[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]
[4,3,6,5,2,7,1]=>[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]
[4,3,6,5,7,1,2]=>[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]
[4,3,6,5,7,2,1]=>[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]
[4,3,6,7,1,2,5]=>[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]
[4,3,6,7,1,5,2]=>[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]
[4,3,6,7,2,1,5]=>[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]
[4,3,6,7,2,5,1]=>[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]
[4,3,6,7,5,1,2]=>[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]
[4,3,6,7,5,2,1]=>[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]
[4,3,7,1,2,5,6]=>[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]
[4,3,7,1,2,6,5]=>[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]
[4,3,7,1,5,2,6]=>[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]
[4,3,7,1,5,6,2]=>[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]
[4,3,7,1,6,2,5]=>[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]
[4,3,7,1,6,5,2]=>[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]
[4,3,7,2,1,5,6]=>[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]
[4,3,7,2,1,6,5]=>[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]
[4,3,7,2,5,1,6]=>[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]
[4,3,7,2,5,6,1]=>[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]
[4,3,7,2,6,1,5]=>[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]
[4,3,7,2,6,5,1]=>[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]
[4,3,7,5,1,2,6]=>[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]
[4,3,7,5,1,6,2]=>[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]
[4,3,7,5,2,1,6]=>[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]
[4,3,7,5,2,6,1]=>[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]
[4,3,7,5,6,1,2]=>[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]
[4,3,7,5,6,2,1]=>[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]
[4,3,7,6,1,2,5]=>[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]
[4,3,7,6,1,5,2]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]
[4,3,7,6,2,1,5]=>[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]
[4,3,7,6,2,5,1]=>[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]
[4,3,7,6,5,1,2]=>[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]
[4,3,7,6,5,2,1]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]
[4,5,1,2,3,6,7]=>[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]
[4,5,1,2,3,7,6]=>[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]
[4,5,1,2,6,3,7]=>[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]
[4,5,1,2,6,7,3]=>[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]
[4,5,1,2,7,3,6]=>[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]
[4,5,1,2,7,6,3]=>[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]
[4,5,1,3,2,6,7]=>[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]
[4,5,1,3,2,7,6]=>[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]
[4,5,1,3,6,2,7]=>[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]
[4,5,1,3,6,7,2]=>[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]
[4,5,1,3,7,2,6]=>[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]
[4,5,1,3,7,6,2]=>[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]
[4,5,1,6,2,3,7]=>[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]
[4,5,1,6,2,7,3]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]
[4,5,1,6,3,2,7]=>[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]
[4,5,1,6,3,7,2]=>[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]
[4,5,1,6,7,2,3]=>[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]
[4,5,1,6,7,3,2]=>[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]
[4,5,1,7,2,3,6]=>[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]
[4,5,1,7,2,6,3]=>[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]
[4,5,1,7,3,2,6]=>[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]
[4,5,1,7,3,6,2]=>[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]
[4,5,1,7,6,2,3]=>[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]
[4,5,1,7,6,3,2]=>[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]
[4,5,2,1,3,6,7]=>[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]
[4,5,2,1,3,7,6]=>[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]
[4,5,2,1,6,3,7]=>[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]
[4,5,2,1,6,7,3]=>[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]
[4,5,2,1,7,3,6]=>[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]
[4,5,2,1,7,6,3]=>[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]
[4,5,2,3,1,6,7]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]
[4,5,2,3,1,7,6]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]
[4,5,2,3,6,1,7]=>[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]
[4,5,2,3,6,7,1]=>[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]
[4,5,2,3,7,1,6]=>[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]
[4,5,2,3,7,6,1]=>[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]
[4,5,2,6,1,3,7]=>[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]
[4,5,2,6,1,7,3]=>[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]
[4,5,2,6,3,1,7]=>[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]
[4,5,2,6,3,7,1]=>[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]
[4,5,2,6,7,1,3]=>[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]
[4,5,2,6,7,3,1]=>[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]
[4,5,2,7,1,3,6]=>[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]
[4,5,2,7,1,6,3]=>[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]
[4,5,2,7,3,1,6]=>[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]
[4,5,2,7,3,6,1]=>[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]
[4,5,2,7,6,1,3]=>[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]
[4,5,2,7,6,3,1]=>[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]
[4,5,3,1,2,6,7]=>[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]
[4,5,3,1,2,7,6]=>[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]
[4,5,3,1,6,2,7]=>[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]
[4,5,3,1,6,7,2]=>[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]
[4,5,3,1,7,2,6]=>[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]
[4,5,3,1,7,6,2]=>[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]
[4,5,3,2,1,6,7]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]
[4,5,3,2,1,7,6]=>[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]
[4,5,3,2,6,1,7]=>[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]
[4,5,3,2,6,7,1]=>[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]
[4,5,3,2,7,1,6]=>[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]
[4,5,3,2,7,6,1]=>[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]
[4,5,3,6,1,2,7]=>[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]
[4,5,3,6,1,7,2]=>[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]
[4,5,3,6,2,1,7]=>[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]
[4,5,3,6,2,7,1]=>[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]
[4,5,3,6,7,1,2]=>[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]
[4,5,3,6,7,2,1]=>[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]
[4,5,3,7,1,2,6]=>[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]
[4,5,3,7,1,6,2]=>[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]
[4,5,3,7,2,1,6]=>[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]
[4,5,3,7,2,6,1]=>[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]
[4,5,3,7,6,1,2]=>[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]
[4,5,3,7,6,2,1]=>[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]
[4,5,6,1,2,3,7]=>[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]
[4,5,6,1,2,7,3]=>[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]
[4,5,6,1,3,2,7]=>[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]
[4,5,6,1,3,7,2]=>[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]
[4,5,6,1,7,2,3]=>[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]
[4,5,6,1,7,3,2]=>[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]
[4,5,6,2,1,3,7]=>[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]
[4,5,6,2,1,7,3]=>[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]
[4,5,6,2,3,1,7]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]
[4,5,6,2,3,7,1]=>[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]
[4,5,6,2,7,1,3]=>[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]
[4,5,6,2,7,3,1]=>[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]
[4,5,6,3,1,2,7]=>[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]
[4,5,6,3,1,7,2]=>[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]
[4,5,6,3,2,1,7]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]
[4,5,6,3,2,7,1]=>[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]
[4,5,6,3,7,1,2]=>[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]
[4,5,6,3,7,2,1]=>[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]
[4,5,6,7,1,2,3]=>[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]
[4,5,6,7,1,3,2]=>[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]
[4,5,6,7,2,1,3]=>[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]
[4,5,6,7,2,3,1]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]
[4,5,6,7,3,1,2]=>[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]
[4,5,6,7,3,2,1]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]
[4,5,7,1,2,3,6]=>[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]
[4,5,7,1,2,6,3]=>[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]
[4,5,7,1,3,2,6]=>[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]
[4,5,7,1,3,6,2]=>[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]
[4,5,7,1,6,2,3]=>[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]
[4,5,7,1,6,3,2]=>[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]
[4,5,7,2,1,3,6]=>[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]
[4,5,7,2,1,6,3]=>[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]
[4,5,7,2,3,1,6]=>[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]
[4,5,7,2,3,6,1]=>[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]
[4,5,7,2,6,1,3]=>[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]
[4,5,7,2,6,3,1]=>[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]
[4,5,7,3,1,2,6]=>[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]
[4,5,7,3,1,6,2]=>[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]
[4,5,7,3,2,1,6]=>[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]
[4,5,7,3,2,6,1]=>[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]
[4,5,7,3,6,1,2]=>[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]
[4,5,7,3,6,2,1]=>[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]
[4,5,7,6,1,2,3]=>[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]
[4,5,7,6,1,3,2]=>[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]
[4,5,7,6,2,1,3]=>[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]
[4,5,7,6,2,3,1]=>[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]
[4,5,7,6,3,1,2]=>[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]
[4,5,7,6,3,2,1]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]
[4,6,1,2,3,5,7]=>[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]
[4,6,1,2,3,7,5]=>[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]
[4,6,1,2,5,3,7]=>[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]
[4,6,1,2,5,7,3]=>[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]
[4,6,1,2,7,3,5]=>[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]
[4,6,1,2,7,5,3]=>[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]
[4,6,1,3,2,5,7]=>[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]
[4,6,1,3,2,7,5]=>[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]
[4,6,1,3,5,2,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]
[4,6,1,3,5,7,2]=>[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]
[4,6,1,3,7,2,5]=>[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]
[4,6,1,3,7,5,2]=>[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]
[4,6,1,5,2,3,7]=>[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]
[4,6,1,5,2,7,3]=>[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]
[4,6,1,5,3,2,7]=>[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]
[4,6,1,5,3,7,2]=>[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]
[4,6,1,5,7,2,3]=>[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]
[4,6,1,5,7,3,2]=>[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]
[4,6,1,7,2,3,5]=>[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]
[4,6,1,7,2,5,3]=>[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]
[4,6,1,7,3,2,5]=>[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]
[4,6,1,7,3,5,2]=>[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]
[4,6,1,7,5,2,3]=>[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]
[4,6,1,7,5,3,2]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]
[4,6,2,1,3,5,7]=>[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]
[4,6,2,1,3,7,5]=>[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]
[4,6,2,1,5,3,7]=>[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]
[4,6,2,1,5,7,3]=>[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]
[4,6,2,1,7,3,5]=>[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]
[4,6,2,1,7,5,3]=>[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]
[4,6,2,3,1,5,7]=>[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]
[4,6,2,3,1,7,5]=>[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]
[4,6,2,3,5,1,7]=>[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]
[4,6,2,3,5,7,1]=>[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]
[4,6,2,3,7,1,5]=>[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]
[4,6,2,3,7,5,1]=>[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]
[4,6,2,5,1,3,7]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]
[4,6,2,5,1,7,3]=>[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]
[4,6,2,5,3,1,7]=>[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]
[4,6,2,5,3,7,1]=>[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]
[4,6,2,5,7,1,3]=>[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]
[4,6,2,5,7,3,1]=>[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]
[4,6,2,7,1,3,5]=>[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]
[4,6,2,7,1,5,3]=>[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]
[4,6,2,7,3,1,5]=>[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]
[4,6,2,7,3,5,1]=>[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]
[4,6,2,7,5,1,3]=>[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]
[4,6,2,7,5,3,1]=>[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]
[4,6,3,1,2,5,7]=>[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]
[4,6,3,1,2,7,5]=>[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]
[4,6,3,1,5,2,7]=>[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]
[4,6,3,1,5,7,2]=>[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]
[4,6,3,1,7,2,5]=>[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]
[4,6,3,1,7,5,2]=>[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]
[4,6,3,2,1,5,7]=>[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]
[4,6,3,2,1,7,5]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]
[4,6,3,2,5,1,7]=>[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]
[4,6,3,2,5,7,1]=>[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]
[4,6,3,2,7,1,5]=>[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]
[4,6,3,2,7,5,1]=>[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]
[4,6,3,5,1,2,7]=>[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]
[4,6,3,5,1,7,2]=>[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]
[4,6,3,5,2,1,7]=>[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]
[4,6,3,5,2,7,1]=>[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]
[4,6,3,5,7,1,2]=>[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]
[4,6,3,5,7,2,1]=>[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]
[4,6,3,7,1,2,5]=>[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]
[4,6,3,7,1,5,2]=>[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]
[4,6,3,7,2,1,5]=>[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]
[4,6,3,7,2,5,1]=>[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]
[4,6,3,7,5,1,2]=>[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]
[4,6,3,7,5,2,1]=>[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]
[4,6,5,1,2,3,7]=>[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]
[4,6,5,1,2,7,3]=>[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]
[4,6,5,1,3,2,7]=>[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]
[4,6,5,1,3,7,2]=>[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]
[4,6,5,1,7,2,3]=>[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]
[4,6,5,1,7,3,2]=>[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]
[4,6,5,2,1,3,7]=>[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]
[4,6,5,2,1,7,3]=>[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]
[4,6,5,2,3,1,7]=>[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]
[4,6,5,2,3,7,1]=>[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]
[4,6,5,2,7,1,3]=>[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]
[4,6,5,2,7,3,1]=>[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]
[4,6,5,3,1,2,7]=>[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]
[4,6,5,3,1,7,2]=>[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]
[4,6,5,3,2,1,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]
[4,6,5,3,2,7,1]=>[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]
[4,6,5,3,7,1,2]=>[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]
[4,6,5,3,7,2,1]=>[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]
[4,6,5,7,1,2,3]=>[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]
[4,6,5,7,1,3,2]=>[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]
[4,6,5,7,2,1,3]=>[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]
[4,6,5,7,2,3,1]=>[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]
[4,6,5,7,3,1,2]=>[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]
[4,6,5,7,3,2,1]=>[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]
[4,6,7,1,2,3,5]=>[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]
[4,6,7,1,2,5,3]=>[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]
[4,6,7,1,3,2,5]=>[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]
[4,6,7,1,3,5,2]=>[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]
[4,6,7,1,5,2,3]=>[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]
[4,6,7,1,5,3,2]=>[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]
[4,6,7,2,1,3,5]=>[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]
[4,6,7,2,1,5,3]=>[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]
[4,6,7,2,3,1,5]=>[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]
[4,6,7,2,3,5,1]=>[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]
[4,6,7,2,5,1,3]=>[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]
[4,6,7,2,5,3,1]=>[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]
[4,6,7,3,1,2,5]=>[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]
[4,6,7,3,1,5,2]=>[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]
[4,6,7,3,2,1,5]=>[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]
[4,6,7,3,2,5,1]=>[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]
[4,6,7,3,5,1,2]=>[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]
[4,6,7,3,5,2,1]=>[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]
[4,6,7,5,1,2,3]=>[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]
[4,6,7,5,1,3,2]=>[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]
[4,6,7,5,2,1,3]=>[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]
[4,6,7,5,2,3,1]=>[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]
[4,6,7,5,3,1,2]=>[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]
[4,6,7,5,3,2,1]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]
[4,7,1,2,3,5,6]=>[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]
[4,7,1,2,3,6,5]=>[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]
[4,7,1,2,5,3,6]=>[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]
[4,7,1,2,5,6,3]=>[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]
[4,7,1,2,6,3,5]=>[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]
[4,7,1,2,6,5,3]=>[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]
[4,7,1,3,2,5,6]=>[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]
[4,7,1,3,2,6,5]=>[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]
[4,7,1,3,5,2,6]=>[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]
[4,7,1,3,5,6,2]=>[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]
[4,7,1,3,6,2,5]=>[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]
[4,7,1,3,6,5,2]=>[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]
[4,7,1,5,2,3,6]=>[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]
[4,7,1,5,2,6,3]=>[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]
[4,7,1,5,3,2,6]=>[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]
[4,7,1,5,3,6,2]=>[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]
[4,7,1,5,6,2,3]=>[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]
[4,7,1,5,6,3,2]=>[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]
[4,7,1,6,2,3,5]=>[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]
[4,7,1,6,2,5,3]=>[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]
[4,7,1,6,3,2,5]=>[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]
[4,7,1,6,3,5,2]=>[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]
[4,7,1,6,5,2,3]=>[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]
[4,7,1,6,5,3,2]=>[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]
[4,7,2,1,3,5,6]=>[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]
[4,7,2,1,3,6,5]=>[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]
[4,7,2,1,5,3,6]=>[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]
[4,7,2,1,5,6,3]=>[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]
[4,7,2,1,6,3,5]=>[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]
[4,7,2,1,6,5,3]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]
[4,7,2,3,1,5,6]=>[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]
[4,7,2,3,1,6,5]=>[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]
[4,7,2,3,5,1,6]=>[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]
[4,7,2,3,5,6,1]=>[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]
[4,7,2,3,6,1,5]=>[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]
[4,7,2,3,6,5,1]=>[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]
[4,7,2,5,1,3,6]=>[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]
[4,7,2,5,1,6,3]=>[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]
[4,7,2,5,3,1,6]=>[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]
[4,7,2,5,3,6,1]=>[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]
[4,7,2,5,6,1,3]=>[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]
[4,7,2,5,6,3,1]=>[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]
[4,7,2,6,1,3,5]=>[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]
[4,7,2,6,1,5,3]=>[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]
[4,7,2,6,3,1,5]=>[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]
[4,7,2,6,3,5,1]=>[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]
[4,7,2,6,5,1,3]=>[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]
[4,7,2,6,5,3,1]=>[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]
[4,7,3,1,2,5,6]=>[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]
[4,7,3,1,2,6,5]=>[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]
[4,7,3,1,5,2,6]=>[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]
[4,7,3,1,5,6,2]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]
[4,7,3,1,6,2,5]=>[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]
[4,7,3,1,6,5,2]=>[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]
[4,7,3,2,1,5,6]=>[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]
[4,7,3,2,1,6,5]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]
[4,7,3,2,5,1,6]=>[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]
[4,7,3,2,5,6,1]=>[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]
[4,7,3,2,6,1,5]=>[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]
[4,7,3,2,6,5,1]=>[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]
[4,7,3,5,1,2,6]=>[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]
[4,7,3,5,1,6,2]=>[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]
[4,7,3,5,2,1,6]=>[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]
[4,7,3,5,2,6,1]=>[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]
[4,7,3,5,6,1,2]=>[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]
[4,7,3,5,6,2,1]=>[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]
[4,7,3,6,1,2,5]=>[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]
[4,7,3,6,1,5,2]=>[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]
[4,7,3,6,2,1,5]=>[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]
[4,7,3,6,2,5,1]=>[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]
[4,7,3,6,5,1,2]=>[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]
[4,7,3,6,5,2,1]=>[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]
[4,7,5,1,2,3,6]=>[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]
[4,7,5,1,2,6,3]=>[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]
[4,7,5,1,3,2,6]=>[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]
[4,7,5,1,3,6,2]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]
[4,7,5,1,6,2,3]=>[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]
[4,7,5,1,6,3,2]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]
[4,7,5,2,1,3,6]=>[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]
[4,7,5,2,1,6,3]=>[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]
[4,7,5,2,3,1,6]=>[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]
[4,7,5,2,3,6,1]=>[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]
[4,7,5,2,6,1,3]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]
[4,7,5,2,6,3,1]=>[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]
[4,7,5,3,1,2,6]=>[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]
[4,7,5,3,1,6,2]=>[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]
[4,7,5,3,2,1,6]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]
[4,7,5,3,2,6,1]=>[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]
[4,7,5,3,6,1,2]=>[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]
[4,7,5,3,6,2,1]=>[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]
[4,7,5,6,1,2,3]=>[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]
[4,7,5,6,1,3,2]=>[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]
[4,7,5,6,2,1,3]=>[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]
[4,7,5,6,2,3,1]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]
[4,7,5,6,3,1,2]=>[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]
[4,7,5,6,3,2,1]=>[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]
[4,7,6,1,2,3,5]=>[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]
[4,7,6,1,2,5,3]=>[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]
[4,7,6,1,3,2,5]=>[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]
[4,7,6,1,3,5,2]=>[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]
[4,7,6,1,5,2,3]=>[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]
[4,7,6,1,5,3,2]=>[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]
[4,7,6,2,1,3,5]=>[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]
[4,7,6,2,1,5,3]=>[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]
[4,7,6,2,3,1,5]=>[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]
[4,7,6,2,3,5,1]=>[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]
[4,7,6,2,5,1,3]=>[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]
[4,7,6,2,5,3,1]=>[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]
[4,7,6,3,1,2,5]=>[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]
[4,7,6,3,1,5,2]=>[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]
[4,7,6,3,2,1,5]=>[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]
[4,7,6,3,2,5,1]=>[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]
[4,7,6,3,5,1,2]=>[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]
[4,7,6,3,5,2,1]=>[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]
[4,7,6,5,1,2,3]=>[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]
[4,7,6,5,1,3,2]=>[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]
[4,7,6,5,2,1,3]=>[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]
[4,7,6,5,2,3,1]=>[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]
[4,7,6,5,3,1,2]=>[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]
[4,7,6,5,3,2,1]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]
[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]
[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]
[5,1,2,3,6,4,7]=>[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]
[5,1,2,3,6,7,4]=>[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]
[5,1,2,3,7,4,6]=>[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]
[5,1,2,3,7,6,4]=>[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]
[5,1,2,4,3,6,7]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]
[5,1,2,4,3,7,6]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]
[5,1,2,4,6,3,7]=>[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]
[5,1,2,4,6,7,3]=>[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]
[5,1,2,4,7,3,6]=>[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]
[5,1,2,4,7,6,3]=>[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]
[5,1,2,6,3,4,7]=>[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]
[5,1,2,6,3,7,4]=>[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]
[5,1,2,6,4,3,7]=>[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]
[5,1,2,6,4,7,3]=>[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]
[5,1,2,6,7,3,4]=>[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]
[5,1,2,6,7,4,3]=>[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]
[5,1,2,7,3,4,6]=>[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]
[5,1,2,7,3,6,4]=>[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]
[5,1,2,7,4,3,6]=>[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]
[5,1,2,7,4,6,3]=>[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]
[5,1,2,7,6,3,4]=>[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]
[5,1,2,7,6,4,3]=>[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]
[5,1,3,2,4,6,7]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]
[5,1,3,2,4,7,6]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]
[5,1,3,2,6,4,7]=>[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]
[5,1,3,2,6,7,4]=>[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]
[5,1,3,2,7,4,6]=>[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]
[5,1,3,2,7,6,4]=>[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]
[5,1,3,4,2,6,7]=>[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]
[5,1,3,4,2,7,6]=>[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]
[5,1,3,4,6,2,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]
[5,1,3,4,6,7,2]=>[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]
[5,1,3,4,7,2,6]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]
[5,1,3,4,7,6,2]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]
[5,1,3,6,2,4,7]=>[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]
[5,1,3,6,2,7,4]=>[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]
[5,1,3,6,4,2,7]=>[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]
[5,1,3,6,4,7,2]=>[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]
[5,1,3,6,7,2,4]=>[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]
[5,1,3,6,7,4,2]=>[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]
[5,1,3,7,2,4,6]=>[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]
[5,1,3,7,2,6,4]=>[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]
[5,1,3,7,4,2,6]=>[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]
[5,1,3,7,4,6,2]=>[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]
[5,1,3,7,6,2,4]=>[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]
[5,1,3,7,6,4,2]=>[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]
[5,1,4,2,3,6,7]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]
[5,1,4,2,3,7,6]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]
[5,1,4,2,6,3,7]=>[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]
[5,1,4,2,6,7,3]=>[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]
[5,1,4,2,7,3,6]=>[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]
[5,1,4,2,7,6,3]=>[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]
[5,1,4,3,2,6,7]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]
[5,1,4,3,2,7,6]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]
[5,1,4,3,6,7,2]=>[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]
[5,1,4,3,7,2,6]=>[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]
[5,1,4,3,7,6,2]=>[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]
[5,1,4,6,2,3,7]=>[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]
[5,1,4,6,2,7,3]=>[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]
[5,1,4,6,3,2,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]
[5,1,4,6,3,7,2]=>[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]
[5,1,4,6,7,2,3]=>[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]
[5,1,4,6,7,3,2]=>[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]
[5,1,4,7,2,3,6]=>[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]
[5,1,4,7,2,6,3]=>[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]
[5,1,4,7,3,2,6]=>[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]
[5,1,4,7,3,6,2]=>[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]
[5,1,4,7,6,2,3]=>[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]
[5,1,4,7,6,3,2]=>[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]
[5,1,6,2,3,4,7]=>[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]
[5,1,6,2,3,7,4]=>[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]
[5,1,6,2,4,3,7]=>[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]
[5,1,6,2,4,7,3]=>[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]
[5,1,6,2,7,3,4]=>[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]
[5,1,6,2,7,4,3]=>[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]
[5,1,6,3,2,4,7]=>[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]
[5,1,6,3,2,7,4]=>[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]
[5,1,6,3,4,2,7]=>[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]
[5,1,6,3,4,7,2]=>[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]
[5,1,6,3,7,2,4]=>[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]
[5,1,6,3,7,4,2]=>[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]
[5,1,6,4,2,3,7]=>[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]
[5,1,6,4,2,7,3]=>[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]
[5,1,6,4,3,2,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]
[5,1,6,4,3,7,2]=>[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]
[5,1,6,4,7,2,3]=>[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]
[5,1,6,4,7,3,2]=>[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]
[5,1,6,7,2,3,4]=>[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]
[5,1,6,7,2,4,3]=>[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]
[5,1,6,7,3,2,4]=>[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]
[5,1,6,7,3,4,2]=>[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]
[5,1,6,7,4,2,3]=>[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]
[5,1,6,7,4,3,2]=>[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]
[5,1,7,2,3,4,6]=>[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]
[5,1,7,2,3,6,4]=>[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]
[5,1,7,2,4,3,6]=>[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]
[5,1,7,2,4,6,3]=>[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]
[5,1,7,2,6,3,4]=>[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]
[5,1,7,2,6,4,3]=>[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]
[5,1,7,3,2,4,6]=>[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]
[5,1,7,3,2,6,4]=>[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]
[5,1,7,3,4,2,6]=>[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]
[5,1,7,3,4,6,2]=>[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]
[5,1,7,3,6,2,4]=>[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]
[5,1,7,3,6,4,2]=>[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]
[5,1,7,4,2,3,6]=>[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]
[5,1,7,4,2,6,3]=>[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]
[5,1,7,4,3,2,6]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]
[5,1,7,4,3,6,2]=>[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]
[5,1,7,4,6,2,3]=>[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]
[5,1,7,4,6,3,2]=>[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]
[5,1,7,6,2,3,4]=>[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]
[5,1,7,6,2,4,3]=>[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]
[5,1,7,6,3,2,4]=>[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]
[5,1,7,6,3,4,2]=>[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]
[5,1,7,6,4,2,3]=>[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]
[5,1,7,6,4,3,2]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]
[5,2,1,3,4,6,7]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]
[5,2,1,3,4,7,6]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]
[5,2,1,3,6,4,7]=>[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]
[5,2,1,3,6,7,4]=>[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]
[5,2,1,3,7,4,6]=>[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]
[5,2,1,3,7,6,4]=>[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]
[5,2,1,4,3,6,7]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]
[5,2,1,4,3,7,6]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]
[5,2,1,4,6,3,7]=>[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]
[5,2,1,4,6,7,3]=>[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]
[5,2,1,4,7,3,6]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]
[5,2,1,4,7,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]
[5,2,1,6,3,4,7]=>[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]
[5,2,1,6,3,7,4]=>[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]
[5,2,1,6,4,3,7]=>[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]
[5,2,1,6,4,7,3]=>[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]
[5,2,1,6,7,3,4]=>[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]
[5,2,1,6,7,4,3]=>[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]
[5,2,1,7,3,4,6]=>[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]
[5,2,1,7,3,6,4]=>[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]
[5,2,1,7,4,3,6]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]
[5,2,1,7,4,6,3]=>[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]
[5,2,1,7,6,3,4]=>[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]
[5,2,1,7,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[5,2,3,1,4,6,7]=>[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]
[5,2,3,1,4,7,6]=>[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]
[5,2,3,1,6,4,7]=>[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]
[5,2,3,1,6,7,4]=>[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]
[5,2,3,1,7,4,6]=>[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]
[5,2,3,1,7,6,4]=>[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]
[5,2,3,4,1,6,7]=>[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]
[5,2,3,4,1,7,6]=>[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]
[5,2,3,4,6,1,7]=>[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]
[5,2,3,4,6,7,1]=>[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]
[5,2,3,4,7,1,6]=>[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]
[5,2,3,4,7,6,1]=>[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]
[5,2,3,6,1,4,7]=>[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]
[5,2,3,6,1,7,4]=>[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]
[5,2,3,6,4,1,7]=>[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]
[5,2,3,6,4,7,1]=>[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]
[5,2,3,6,7,1,4]=>[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]
[5,2,3,6,7,4,1]=>[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]
[5,2,3,7,1,4,6]=>[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]
[5,2,3,7,1,6,4]=>[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]
[5,2,3,7,4,1,6]=>[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]
[5,2,3,7,4,6,1]=>[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]
[5,2,3,7,6,1,4]=>[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]
[5,2,3,7,6,4,1]=>[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]
[5,2,4,1,3,6,7]=>[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]
[5,2,4,1,3,7,6]=>[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]
[5,2,4,1,6,3,7]=>[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]
[5,2,4,1,6,7,3]=>[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]
[5,2,4,1,7,3,6]=>[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]
[5,2,4,1,7,6,3]=>[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]
[5,2,4,3,1,6,7]=>[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]
[5,2,4,3,1,7,6]=>[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]
[5,2,4,3,6,1,7]=>[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]
[5,2,4,3,6,7,1]=>[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]
[5,2,4,3,7,1,6]=>[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]
[5,2,4,3,7,6,1]=>[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]
[5,2,4,6,1,3,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]
[5,2,4,6,1,7,3]=>[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]
[5,2,4,6,3,1,7]=>[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]
[5,2,4,6,3,7,1]=>[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]
[5,2,4,6,7,1,3]=>[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]
[5,2,4,6,7,3,1]=>[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]
[5,2,4,7,1,3,6]=>[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]
[5,2,4,7,1,6,3]=>[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]
[5,2,4,7,3,1,6]=>[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]
[5,2,4,7,3,6,1]=>[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]
[5,2,4,7,6,1,3]=>[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]
[5,2,4,7,6,3,1]=>[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]
[5,2,6,1,3,4,7]=>[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]
[5,2,6,1,3,7,4]=>[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]
[5,2,6,1,4,3,7]=>[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]
[5,2,6,1,4,7,3]=>[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]
[5,2,6,1,7,3,4]=>[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]
[5,2,6,1,7,4,3]=>[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]
[5,2,6,3,1,4,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]
[5,2,6,3,1,7,4]=>[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]
[5,2,6,3,4,1,7]=>[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]
[5,2,6,3,4,7,1]=>[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]
[5,2,6,3,7,1,4]=>[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]
[5,2,6,3,7,4,1]=>[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]
[5,2,6,4,1,3,7]=>[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]
[5,2,6,4,1,7,3]=>[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]
[5,2,6,4,3,1,7]=>[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]
[5,2,6,4,3,7,1]=>[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]
[5,2,6,4,7,1,3]=>[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]
[5,2,6,4,7,3,1]=>[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]
[5,2,6,7,1,3,4]=>[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]
[5,2,6,7,1,4,3]=>[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]
[5,2,6,7,3,1,4]=>[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]
[5,2,6,7,3,4,1]=>[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]
[5,2,6,7,4,1,3]=>[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]
[5,2,6,7,4,3,1]=>[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]
[5,2,7,1,3,4,6]=>[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]
[5,2,7,1,3,6,4]=>[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]
[5,2,7,1,4,3,6]=>[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]
[5,2,7,1,4,6,3]=>[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]
[5,2,7,1,6,3,4]=>[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]
[5,2,7,1,6,4,3]=>[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]
[5,2,7,3,1,4,6]=>[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]
[5,2,7,3,1,6,4]=>[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]
[5,2,7,3,4,1,6]=>[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]
[5,2,7,3,4,6,1]=>[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]
[5,2,7,3,6,1,4]=>[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]
[5,2,7,3,6,4,1]=>[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]
[5,2,7,4,1,3,6]=>[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]
[5,2,7,4,1,6,3]=>[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]
[5,2,7,4,3,1,6]=>[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]
[5,2,7,4,3,6,1]=>[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]
[5,2,7,4,6,1,3]=>[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]
[5,2,7,4,6,3,1]=>[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]
[5,2,7,6,1,3,4]=>[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]
[5,2,7,6,1,4,3]=>[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]
[5,2,7,6,3,1,4]=>[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]
[5,2,7,6,3,4,1]=>[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]
[5,2,7,6,4,1,3]=>[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]
[5,2,7,6,4,3,1]=>[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]
[5,3,1,2,4,6,7]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]
[5,3,1,2,4,7,6]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]
[5,3,1,2,6,4,7]=>[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]
[5,3,1,2,6,7,4]=>[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]
[5,3,1,2,7,4,6]=>[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]
[5,3,1,2,7,6,4]=>[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]
[5,3,1,4,2,6,7]=>[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]
[5,3,1,4,2,7,6]=>[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]
[5,3,1,4,6,2,7]=>[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]
[5,3,1,4,6,7,2]=>[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]
[5,3,1,4,7,2,6]=>[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]
[5,3,1,4,7,6,2]=>[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]
[5,3,1,6,2,4,7]=>[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]
[5,3,1,6,2,7,4]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]
[5,3,1,6,4,2,7]=>[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]
[5,3,1,6,4,7,2]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]
[5,3,1,6,7,2,4]=>[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]
[5,3,1,6,7,4,2]=>[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]
[5,3,1,7,2,4,6]=>[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]
[5,3,1,7,2,6,4]=>[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]
[5,3,1,7,4,2,6]=>[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]
[5,3,1,7,4,6,2]=>[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]
[5,3,1,7,6,2,4]=>[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]
[5,3,1,7,6,4,2]=>[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]
[5,3,2,1,4,6,7]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]
[5,3,2,1,4,7,6]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]
[5,3,2,1,6,4,7]=>[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]
[5,3,2,1,6,7,4]=>[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]
[5,3,2,1,7,4,6]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]
[5,3,2,1,7,6,4]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[5,3,2,4,1,6,7]=>[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]
[5,3,2,4,1,7,6]=>[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]
[5,3,2,4,6,1,7]=>[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]
[5,3,2,4,6,7,1]=>[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]
[5,3,2,4,7,1,6]=>[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]
[5,3,2,4,7,6,1]=>[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]
[5,3,2,6,1,4,7]=>[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]
[5,3,2,6,1,7,4]=>[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]
[5,3,2,6,4,1,7]=>[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]
[5,3,2,6,4,7,1]=>[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]
[5,3,2,6,7,1,4]=>[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]
[5,3,2,6,7,4,1]=>[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]
[5,3,2,7,1,4,6]=>[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]
[5,3,2,7,1,6,4]=>[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]
[5,3,2,7,4,1,6]=>[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]
[5,3,2,7,4,6,1]=>[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]
[5,3,2,7,6,1,4]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]
[5,3,2,7,6,4,1]=>[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[1,4,6,7,2,3,5]
[5,3,4,1,2,6,7]=>[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]
[5,3,4,1,2,7,6]=>[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]
[5,3,4,1,6,2,7]=>[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]
[5,3,4,1,6,7,2]=>[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]
[5,3,4,1,7,2,6]=>[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]
[5,3,4,1,7,6,2]=>[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]
[5,3,4,2,1,6,7]=>[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]
[5,3,4,2,1,7,6]=>[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]
[5,3,4,2,6,1,7]=>[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]
[5,3,4,2,6,7,1]=>[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]
[5,3,4,2,7,1,6]=>[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]
[5,3,4,2,7,6,1]=>[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]
[5,3,4,6,1,2,7]=>[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]
[5,3,4,6,1,7,2]=>[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]
[5,3,4,6,2,1,7]=>[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]
[5,3,4,6,2,7,1]=>[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]
[5,3,4,6,7,1,2]=>[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]
[5,3,4,6,7,2,1]=>[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]
[5,3,4,7,1,2,6]=>[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]
[5,3,4,7,1,6,2]=>[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]
[5,3,4,7,2,1,6]=>[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]
[5,3,4,7,2,6,1]=>[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]
[5,3,4,7,6,1,2]=>[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]
[5,3,4,7,6,2,1]=>[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]
[5,3,6,1,2,4,7]=>[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]
[5,3,6,1,2,7,4]=>[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]
[5,3,6,1,4,2,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]
[5,3,6,1,4,7,2]=>[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]
[5,3,6,1,7,2,4]=>[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]
[5,3,6,1,7,4,2]=>[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]
[5,3,6,2,1,4,7]=>[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]
[5,3,6,2,1,7,4]=>[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]
[5,3,6,2,4,1,7]=>[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]
[5,3,6,2,4,7,1]=>[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]
[5,3,6,2,7,1,4]=>[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]
[5,3,6,2,7,4,1]=>[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]
[5,3,6,4,1,2,7]=>[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]
[5,3,6,4,1,7,2]=>[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]
[5,3,6,4,2,1,7]=>[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]
[5,3,6,4,2,7,1]=>[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]
[5,3,6,4,7,1,2]=>[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]
[5,3,6,4,7,2,1]=>[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]
[5,3,6,7,1,2,4]=>[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]
[5,3,6,7,1,4,2]=>[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]
[5,3,6,7,2,1,4]=>[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]
[5,3,6,7,2,4,1]=>[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]
[5,3,6,7,4,1,2]=>[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]
[5,3,6,7,4,2,1]=>[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]
[5,3,7,1,2,4,6]=>[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]
[5,3,7,1,2,6,4]=>[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]
[5,3,7,1,4,2,6]=>[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]
[5,3,7,1,4,6,2]=>[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]
[5,3,7,1,6,2,4]=>[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]
[5,3,7,1,6,4,2]=>[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]
[5,3,7,2,1,4,6]=>[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]
[5,3,7,2,1,6,4]=>[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]
[5,3,7,2,4,1,6]=>[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]
[5,3,7,2,4,6,1]=>[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]
[5,3,7,2,6,1,4]=>[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]
[5,3,7,2,6,4,1]=>[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]
[5,3,7,4,1,2,6]=>[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]
[5,3,7,4,1,6,2]=>[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]
[5,3,7,4,2,1,6]=>[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]
[5,3,7,4,2,6,1]=>[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]
[5,3,7,4,6,1,2]=>[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]
[5,3,7,4,6,2,1]=>[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]
[5,3,7,6,1,2,4]=>[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]
[5,3,7,6,1,4,2]=>[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]
[5,3,7,6,2,1,4]=>[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]
[5,3,7,6,2,4,1]=>[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]
[5,3,7,6,4,1,2]=>[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]
[5,3,7,6,4,2,1]=>[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]
[5,4,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]
[5,4,1,2,3,7,6]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]
[5,4,1,2,6,3,7]=>[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]
[5,4,1,2,6,7,3]=>[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]
[5,4,1,2,7,3,6]=>[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]
[5,4,1,2,7,6,3]=>[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]
[5,4,1,3,2,6,7]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]
[5,4,1,3,2,7,6]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]
[5,4,1,3,6,2,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]
[5,4,1,3,6,7,2]=>[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]
[5,4,1,3,7,2,6]=>[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]
[5,4,1,3,7,6,2]=>[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]
[5,4,1,6,2,3,7]=>[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]
[5,4,1,6,2,7,3]=>[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]
[5,4,1,6,3,2,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]
[5,4,1,6,3,7,2]=>[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]
[5,4,1,6,7,2,3]=>[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]
[5,4,1,6,7,3,2]=>[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]
[5,4,1,7,2,3,6]=>[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]
[5,4,1,7,2,6,3]=>[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]
[5,4,1,7,3,2,6]=>[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]
[5,4,1,7,3,6,2]=>[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]
[5,4,1,7,6,2,3]=>[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]
[5,4,1,7,6,3,2]=>[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]
[5,4,2,1,3,6,7]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]
[5,4,2,1,3,7,6]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]
[5,4,2,1,6,3,7]=>[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]
[5,4,2,1,6,7,3]=>[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]
[5,4,2,1,7,3,6]=>[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]
[5,4,2,1,7,6,3]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]
[5,4,2,3,1,6,7]=>[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]
[5,4,2,3,1,7,6]=>[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]
[5,4,2,3,6,1,7]=>[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]
[5,4,2,3,6,7,1]=>[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]
[5,4,2,3,7,1,6]=>[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]
[5,4,2,3,7,6,1]=>[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]
[5,4,2,6,1,3,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]
[5,4,2,6,1,7,3]=>[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]
[5,4,2,6,3,1,7]=>[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]
[5,4,2,6,3,7,1]=>[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]
[5,4,2,6,7,1,3]=>[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]
[5,4,2,6,7,3,1]=>[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]
[5,4,2,7,1,3,6]=>[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]
[5,4,2,7,1,6,3]=>[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]
[5,4,2,7,3,1,6]=>[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]
[5,4,2,7,3,6,1]=>[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]
[5,4,2,7,6,1,3]=>[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]
[5,4,2,7,6,3,1]=>[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]
[5,4,3,1,2,6,7]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]
[5,4,3,1,2,7,6]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]
[5,4,3,1,6,2,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]
[5,4,3,1,6,7,2]=>[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]
[5,4,3,1,7,2,6]=>[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]
[5,4,3,1,7,6,2]=>[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]
[5,4,3,2,6,1,7]=>[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]
[5,4,3,2,6,7,1]=>[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]
[5,4,3,2,7,1,6]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]
[5,4,3,2,7,6,1]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]
[5,4,3,6,1,2,7]=>[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]
[5,4,3,6,1,7,2]=>[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]
[5,4,3,6,2,1,7]=>[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]
[5,4,3,6,2,7,1]=>[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]
[5,4,3,6,7,1,2]=>[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]
[5,4,3,6,7,2,1]=>[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]
[5,4,3,7,1,2,6]=>[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]
[5,4,3,7,1,6,2]=>[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]
[5,4,3,7,2,1,6]=>[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]
[5,4,3,7,2,6,1]=>[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]
[5,4,3,7,6,1,2]=>[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]
[5,4,3,7,6,2,1]=>[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]
[5,4,6,1,2,3,7]=>[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]
[5,4,6,1,2,7,3]=>[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]
[5,4,6,1,3,2,7]=>[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]
[5,4,6,1,3,7,2]=>[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]
[5,4,6,1,7,2,3]=>[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]
[5,4,6,1,7,3,2]=>[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]
[5,4,6,2,1,3,7]=>[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]
[5,4,6,2,1,7,3]=>[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]
[5,4,6,2,3,1,7]=>[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]
[5,4,6,2,3,7,1]=>[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]
[5,4,6,2,7,1,3]=>[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]
[5,4,6,2,7,3,1]=>[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]
[5,4,6,3,1,2,7]=>[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]
[5,4,6,3,1,7,2]=>[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]
[5,4,6,3,2,1,7]=>[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]
[5,4,6,3,2,7,1]=>[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]
[5,4,6,3,7,1,2]=>[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]
[5,4,6,3,7,2,1]=>[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]
[5,4,6,7,1,2,3]=>[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]
[5,4,6,7,1,3,2]=>[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]
[5,4,6,7,2,1,3]=>[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]
[5,4,6,7,2,3,1]=>[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]
[5,4,6,7,3,1,2]=>[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]
[5,4,6,7,3,2,1]=>[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]
[5,4,7,1,2,3,6]=>[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]
[5,4,7,1,2,6,3]=>[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]
[5,4,7,1,3,2,6]=>[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]
[5,4,7,1,3,6,2]=>[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]
[5,4,7,1,6,2,3]=>[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]
[5,4,7,1,6,3,2]=>[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]
[5,4,7,2,1,3,6]=>[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]
[5,4,7,2,1,6,3]=>[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]
[5,4,7,2,3,1,6]=>[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]
[5,4,7,2,3,6,1]=>[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]
[5,4,7,2,6,1,3]=>[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]
[5,4,7,2,6,3,1]=>[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]
[5,4,7,3,1,2,6]=>[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]
[5,4,7,3,1,6,2]=>[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]
[5,4,7,3,2,1,6]=>[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]
[5,4,7,3,2,6,1]=>[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]
[5,4,7,3,6,1,2]=>[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]
[5,4,7,3,6,2,1]=>[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]
[5,4,7,6,1,2,3]=>[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]
[5,4,7,6,1,3,2]=>[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]
[5,4,7,6,2,1,3]=>[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]
[5,4,7,6,2,3,1]=>[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]
[5,4,7,6,3,1,2]=>[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]
[5,4,7,6,3,2,1]=>[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]
[5,6,1,2,3,4,7]=>[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]
[5,6,1,2,3,7,4]=>[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]
[5,6,1,2,4,3,7]=>[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]
[5,6,1,2,4,7,3]=>[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]
[5,6,1,2,7,3,4]=>[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]
[5,6,1,2,7,4,3]=>[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]
[5,6,1,3,2,4,7]=>[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]
[5,6,1,3,2,7,4]=>[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]
[5,6,1,3,4,2,7]=>[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]
[5,6,1,3,4,7,2]=>[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]
[5,6,1,3,7,2,4]=>[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]
[5,6,1,3,7,4,2]=>[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]
[5,6,1,4,2,3,7]=>[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]
[5,6,1,4,2,7,3]=>[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]
[5,6,1,4,3,2,7]=>[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]
[5,6,1,4,3,7,2]=>[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]
[5,6,1,4,7,2,3]=>[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]
[5,6,1,4,7,3,2]=>[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]
[5,6,1,7,2,3,4]=>[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]
[5,6,1,7,2,4,3]=>[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]
[5,6,1,7,3,2,4]=>[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]
[5,6,1,7,3,4,2]=>[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]
[5,6,1,7,4,2,3]=>[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]
[5,6,1,7,4,3,2]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]
[5,6,2,1,3,4,7]=>[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]
[5,6,2,1,3,7,4]=>[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]
[5,6,2,1,4,3,7]=>[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]
[5,6,2,1,4,7,3]=>[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]
[5,6,2,1,7,3,4]=>[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]
[5,6,2,1,7,4,3]=>[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]
[5,6,2,3,1,4,7]=>[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]
[5,6,2,3,1,7,4]=>[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]
[5,6,2,3,4,1,7]=>[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]
[5,6,2,3,4,7,1]=>[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]
[5,6,2,3,7,1,4]=>[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]
[5,6,2,3,7,4,1]=>[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]
[5,6,2,4,1,3,7]=>[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]
[5,6,2,4,1,7,3]=>[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]
[5,6,2,4,3,1,7]=>[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]
[5,6,2,4,3,7,1]=>[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]
[5,6,2,4,7,1,3]=>[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]
[5,6,2,4,7,3,1]=>[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]
[5,6,2,7,1,3,4]=>[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]
[5,6,2,7,1,4,3]=>[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]
[5,6,2,7,3,1,4]=>[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]
[5,6,2,7,3,4,1]=>[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]
[5,6,2,7,4,1,3]=>[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]
[5,6,2,7,4,3,1]=>[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]
[5,6,3,1,2,4,7]=>[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]
[5,6,3,1,2,7,4]=>[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]
[5,6,3,1,4,2,7]=>[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]
[5,6,3,1,4,7,2]=>[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]
[5,6,3,1,7,2,4]=>[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]
[5,6,3,1,7,4,2]=>[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]
[5,6,3,2,1,4,7]=>[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]
[5,6,3,2,1,7,4]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]
[5,6,3,2,4,1,7]=>[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]
[5,6,3,2,4,7,1]=>[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]
[5,6,3,2,7,1,4]=>[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]
[5,6,3,2,7,4,1]=>[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]
[5,6,3,4,1,2,7]=>[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]
[5,6,3,4,1,7,2]=>[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]
[5,6,3,4,2,1,7]=>[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]
[5,6,3,4,2,7,1]=>[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]
[5,6,3,4,7,1,2]=>[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]
[5,6,3,4,7,2,1]=>[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]
[5,6,3,7,1,2,4]=>[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]
[5,6,3,7,1,4,2]=>[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]
[5,6,3,7,2,1,4]=>[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]
[5,6,3,7,2,4,1]=>[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]
[5,6,3,7,4,1,2]=>[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]
[5,6,3,7,4,2,1]=>[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]
[5,6,4,1,2,3,7]=>[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]
[5,6,4,1,2,7,3]=>[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]
[5,6,4,1,3,2,7]=>[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]
[5,6,4,1,3,7,2]=>[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]
[5,6,4,1,7,2,3]=>[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]
[5,6,4,1,7,3,2]=>[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]
[5,6,4,2,1,3,7]=>[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]
[5,6,4,2,1,7,3]=>[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]
[5,6,4,2,3,1,7]=>[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]
[5,6,4,2,3,7,1]=>[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]
[5,6,4,2,7,1,3]=>[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]
[5,6,4,2,7,3,1]=>[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]
[5,6,4,3,1,2,7]=>[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]
[5,6,4,3,1,7,2]=>[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]
[5,6,4,3,2,1,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]
[5,6,4,3,2,7,1]=>[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]
[5,6,4,3,7,1,2]=>[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]
[5,6,4,3,7,2,1]=>[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]
[5,6,4,7,1,2,3]=>[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]
[5,6,4,7,1,3,2]=>[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]
[5,6,4,7,2,1,3]=>[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]
[5,6,4,7,2,3,1]=>[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]
[5,6,4,7,3,1,2]=>[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]
[5,6,4,7,3,2,1]=>[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]
[5,6,7,1,2,3,4]=>[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]
[5,6,7,1,2,4,3]=>[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]
[5,6,7,1,3,2,4]=>[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]
[5,6,7,1,3,4,2]=>[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]
[5,6,7,1,4,2,3]=>[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]
[5,6,7,1,4,3,2]=>[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]
[5,6,7,2,1,3,4]=>[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]
[5,6,7,2,1,4,3]=>[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]
[5,6,7,2,3,1,4]=>[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]
[5,6,7,2,3,4,1]=>[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]
[5,6,7,2,4,1,3]=>[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]
[5,6,7,2,4,3,1]=>[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]
[5,6,7,3,1,2,4]=>[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]
[5,6,7,3,1,4,2]=>[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]
[5,6,7,3,2,1,4]=>[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]
[5,6,7,3,2,4,1]=>[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]
[5,6,7,3,4,1,2]=>[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]
[5,6,7,3,4,2,1]=>[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]
[5,6,7,4,1,2,3]=>[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]
[5,6,7,4,1,3,2]=>[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]
[5,6,7,4,2,1,3]=>[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]
[5,6,7,4,2,3,1]=>[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]
[5,6,7,4,3,1,2]=>[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]
[5,6,7,4,3,2,1]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]
[5,7,1,2,3,4,6]=>[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]
[5,7,1,2,3,6,4]=>[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]
[5,7,1,2,4,3,6]=>[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]
[5,7,1,2,4,6,3]=>[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]
[5,7,1,2,6,3,4]=>[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]
[5,7,1,2,6,4,3]=>[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]
[5,7,1,3,2,4,6]=>[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]
[5,7,1,3,2,6,4]=>[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]
[5,7,1,3,4,2,6]=>[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]
[5,7,1,3,4,6,2]=>[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]
[5,7,1,3,6,2,4]=>[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]
[5,7,1,3,6,4,2]=>[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]
[5,7,1,4,2,3,6]=>[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]
[5,7,1,4,2,6,3]=>[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]
[5,7,1,4,3,2,6]=>[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]
[5,7,1,4,3,6,2]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]
[5,7,1,4,6,2,3]=>[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]
[5,7,1,4,6,3,2]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]
[5,7,1,6,2,3,4]=>[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]
[5,7,1,6,2,4,3]=>[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]
[5,7,1,6,3,2,4]=>[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]
[5,7,1,6,3,4,2]=>[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]
[5,7,1,6,4,2,3]=>[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]
[5,7,1,6,4,3,2]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]
[5,7,2,1,3,4,6]=>[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]
[5,7,2,1,3,6,4]=>[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]
[5,7,2,1,4,3,6]=>[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]
[5,7,2,1,4,6,3]=>[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]
[5,7,2,1,6,3,4]=>[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]
[5,7,2,1,6,4,3]=>[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]
[5,7,2,3,1,4,6]=>[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]
[5,7,2,3,1,6,4]=>[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]
[5,7,2,3,4,1,6]=>[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]
[5,7,2,3,4,6,1]=>[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]
[5,7,2,3,6,1,4]=>[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]
[5,7,2,3,6,4,1]=>[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]
[5,7,2,4,1,3,6]=>[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]
[5,7,2,4,1,6,3]=>[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]
[5,7,2,4,3,1,6]=>[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]
[5,7,2,4,3,6,1]=>[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]
[5,7,2,4,6,1,3]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]
[5,7,2,4,6,3,1]=>[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]
[5,7,2,6,1,3,4]=>[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]
[5,7,2,6,1,4,3]=>[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]
[5,7,2,6,3,1,4]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]
[5,7,2,6,3,4,1]=>[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]
[5,7,2,6,4,1,3]=>[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]
[5,7,2,6,4,3,1]=>[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]
[5,7,3,1,2,4,6]=>[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]
[5,7,3,1,2,6,4]=>[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]
[5,7,3,1,4,2,6]=>[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]
[5,7,3,1,4,6,2]=>[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]
[5,7,3,1,6,2,4]=>[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]
[5,7,3,1,6,4,2]=>[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]
[5,7,3,2,1,4,6]=>[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]
[5,7,3,2,1,6,4]=>[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]
[5,7,3,2,4,1,6]=>[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]
[5,7,3,2,4,6,1]=>[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]
[5,7,3,2,6,1,4]=>[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]
[5,7,3,2,6,4,1]=>[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]
[5,7,3,4,1,2,6]=>[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]
[5,7,3,4,1,6,2]=>[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]
[5,7,3,4,2,1,6]=>[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]
[5,7,3,4,2,6,1]=>[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]
[5,7,3,4,6,1,2]=>[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]
[5,7,3,4,6,2,1]=>[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]
[5,7,3,6,1,2,4]=>[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]
[5,7,3,6,1,4,2]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]
[5,7,3,6,2,1,4]=>[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]
[5,7,3,6,2,4,1]=>[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]
[5,7,3,6,4,1,2]=>[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]
[5,7,3,6,4,2,1]=>[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]
[5,7,4,1,2,3,6]=>[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]
[5,7,4,1,2,6,3]=>[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]
[5,7,4,1,3,2,6]=>[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]
[5,7,4,1,3,6,2]=>[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]
[5,7,4,1,6,2,3]=>[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]
[5,7,4,1,6,3,2]=>[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]
[5,7,4,2,1,3,6]=>[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]
[5,7,4,2,1,6,3]=>[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]
[5,7,4,2,3,1,6]=>[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]
[5,7,4,2,3,6,1]=>[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]
[5,7,4,2,6,1,3]=>[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]
[5,7,4,2,6,3,1]=>[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]
[5,7,4,3,1,2,6]=>[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]
[5,7,4,3,1,6,2]=>[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]
[5,7,4,3,2,1,6]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]
[5,7,4,3,2,6,1]=>[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]
[5,7,4,3,6,1,2]=>[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]
[5,7,4,3,6,2,1]=>[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]
[5,7,4,6,1,2,3]=>[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]
[5,7,4,6,1,3,2]=>[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]
[5,7,4,6,2,1,3]=>[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]
[5,7,4,6,2,3,1]=>[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]
[5,7,4,6,3,1,2]=>[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]
[5,7,4,6,3,2,1]=>[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]
[5,7,6,1,2,3,4]=>[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]
[5,7,6,1,2,4,3]=>[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]
[5,7,6,1,3,2,4]=>[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]
[5,7,6,1,3,4,2]=>[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]
[5,7,6,1,4,2,3]=>[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]
[5,7,6,1,4,3,2]=>[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]
[5,7,6,2,1,3,4]=>[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]
[5,7,6,2,1,4,3]=>[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]
[5,7,6,2,3,1,4]=>[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]
[5,7,6,2,3,4,1]=>[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]
[5,7,6,2,4,1,3]=>[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]
[5,7,6,2,4,3,1]=>[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]
[5,7,6,3,1,2,4]=>[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]
[5,7,6,3,1,4,2]=>[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]
[5,7,6,3,2,1,4]=>[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]
[5,7,6,3,2,4,1]=>[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]
[5,7,6,3,4,1,2]=>[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]
[5,7,6,3,4,2,1]=>[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]
[5,7,6,4,1,2,3]=>[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]
[5,7,6,4,1,3,2]=>[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]
[5,7,6,4,2,1,3]=>[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]
[5,7,6,4,2,3,1]=>[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]
[5,7,6,4,3,1,2]=>[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]
[5,7,6,4,3,2,1]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]
[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]
[6,1,2,3,4,7,5]=>[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]
[6,1,2,3,5,4,7]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]
[6,1,2,3,5,7,4]=>[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]
[6,1,2,3,7,4,5]=>[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]
[6,1,2,3,7,5,4]=>[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]
[6,1,2,4,3,5,7]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]
[6,1,2,4,3,7,5]=>[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]
[6,1,2,4,5,3,7]=>[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]
[6,1,2,4,5,7,3]=>[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]
[6,1,2,4,7,3,5]=>[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]
[6,1,2,4,7,5,3]=>[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]
[6,1,2,5,3,4,7]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]
[6,1,2,5,3,7,4]=>[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]
[6,1,2,5,4,3,7]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]
[6,1,2,5,4,7,3]=>[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]
[6,1,2,5,7,3,4]=>[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]
[6,1,2,5,7,4,3]=>[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]
[6,1,2,7,3,4,5]=>[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]
[6,1,2,7,3,5,4]=>[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]
[6,1,2,7,4,3,5]=>[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]
[6,1,2,7,4,5,3]=>[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]
[6,1,2,7,5,3,4]=>[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]
[6,1,2,7,5,4,3]=>[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]
[6,1,3,2,4,5,7]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]
[6,1,3,2,4,7,5]=>[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]
[6,1,3,2,5,4,7]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]
[6,1,3,2,5,7,4]=>[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]
[6,1,3,2,7,4,5]=>[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]
[6,1,3,2,7,5,4]=>[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]
[6,1,3,4,2,5,7]=>[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]
[6,1,3,4,2,7,5]=>[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]
[6,1,3,4,5,2,7]=>[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]
[6,1,3,4,5,7,2]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]
[6,1,3,4,7,2,5]=>[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]
[6,1,3,4,7,5,2]=>[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]
[6,1,3,5,2,4,7]=>[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]
[6,1,3,5,2,7,4]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]
[6,1,3,5,4,2,7]=>[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]
[6,1,3,5,4,7,2]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]
[6,1,3,5,7,2,4]=>[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]
[6,1,3,5,7,4,2]=>[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]
[6,1,3,7,2,4,5]=>[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]
[6,1,3,7,2,5,4]=>[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]
[6,1,3,7,4,2,5]=>[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]
[6,1,3,7,4,5,2]=>[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]
[6,1,3,7,5,2,4]=>[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]
[6,1,3,7,5,4,2]=>[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]
[6,1,4,2,3,5,7]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]
[6,1,4,2,3,7,5]=>[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]
[6,1,4,2,5,3,7]=>[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]
[6,1,4,2,5,7,3]=>[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]
[6,1,4,2,7,3,5]=>[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]
[6,1,4,2,7,5,3]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]
[6,1,4,3,2,5,7]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]
[6,1,4,3,2,7,5]=>[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]
[6,1,4,3,5,2,7]=>[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]
[6,1,4,3,5,7,2]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]
[6,1,4,3,7,2,5]=>[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]
[6,1,4,3,7,5,2]=>[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]
[6,1,4,5,2,3,7]=>[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]
[6,1,4,5,2,7,3]=>[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]
[6,1,4,5,3,2,7]=>[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]
[6,1,4,5,3,7,2]=>[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]
[6,1,4,5,7,2,3]=>[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]
[6,1,4,5,7,3,2]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]
[6,1,4,7,2,3,5]=>[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]
[6,1,4,7,2,5,3]=>[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]
[6,1,4,7,3,2,5]=>[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]
[6,1,4,7,3,5,2]=>[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]
[6,1,4,7,5,2,3]=>[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]
[6,1,4,7,5,3,2]=>[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]
[6,1,5,2,3,4,7]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]
[6,1,5,2,3,7,4]=>[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]
[6,1,5,2,4,3,7]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]
[6,1,5,2,4,7,3]=>[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]
[6,1,5,2,7,3,4]=>[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]
[6,1,5,2,7,4,3]=>[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]
[6,1,5,3,2,4,7]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]
[6,1,5,3,2,7,4]=>[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]
[6,1,5,3,4,2,7]=>[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]
[6,1,5,3,4,7,2]=>[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]
[6,1,5,3,7,2,4]=>[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]
[6,1,5,3,7,4,2]=>[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]
[6,1,5,4,2,3,7]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]
[6,1,5,4,2,7,3]=>[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]
[6,1,5,4,3,2,7]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]
[6,1,5,4,7,2,3]=>[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]
[6,1,5,4,7,3,2]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]
[6,1,5,7,2,3,4]=>[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]
[6,1,5,7,2,4,3]=>[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]
[6,1,5,7,3,2,4]=>[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]
[6,1,5,7,3,4,2]=>[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]
[6,1,5,7,4,2,3]=>[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]
[6,1,5,7,4,3,2]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]
[6,1,7,2,3,4,5]=>[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]
[6,1,7,2,3,5,4]=>[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]
[6,1,7,2,4,3,5]=>[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]
[6,1,7,2,4,5,3]=>[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]
[6,1,7,2,5,3,4]=>[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]
[6,1,7,2,5,4,3]=>[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]
[6,1,7,3,2,4,5]=>[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]
[6,1,7,3,2,5,4]=>[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]
[6,1,7,3,4,2,5]=>[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]
[6,1,7,3,4,5,2]=>[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]
[6,1,7,3,5,2,4]=>[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]
[6,1,7,3,5,4,2]=>[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]
[6,1,7,4,2,3,5]=>[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]
[6,1,7,4,2,5,3]=>[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]
[6,1,7,4,3,2,5]=>[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]
[6,1,7,4,3,5,2]=>[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]
[6,1,7,4,5,2,3]=>[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]
[6,1,7,4,5,3,2]=>[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]
[6,1,7,5,2,3,4]=>[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]
[6,1,7,5,2,4,3]=>[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]
[6,1,7,5,3,2,4]=>[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]
[6,1,7,5,3,4,2]=>[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]
[6,1,7,5,4,2,3]=>[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]
[6,1,7,5,4,3,2]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]
[6,2,1,3,4,5,7]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]
[6,2,1,3,4,7,5]=>[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]
[6,2,1,3,5,4,7]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]
[6,2,1,3,5,7,4]=>[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]
[6,2,1,3,7,4,5]=>[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]
[6,2,1,3,7,5,4]=>[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]
[6,2,1,4,3,5,7]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]
[6,2,1,4,3,7,5]=>[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]
[6,2,1,4,5,3,7]=>[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]
[6,2,1,4,5,7,3]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]
[6,2,1,4,7,3,5]=>[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]
[6,2,1,4,7,5,3]=>[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]
[6,2,1,5,3,4,7]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]
[6,2,1,5,3,7,4]=>[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]
[6,2,1,5,4,3,7]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]
[6,2,1,5,4,7,3]=>[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]
[6,2,1,5,7,3,4]=>[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]
[6,2,1,5,7,4,3]=>[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]
[6,2,1,7,3,4,5]=>[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]
[6,2,1,7,3,5,4]=>[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]
[6,2,1,7,4,3,5]=>[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]
[6,2,1,7,4,5,3]=>[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]
[6,2,1,7,5,3,4]=>[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]
[6,2,1,7,5,4,3]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]
[6,2,3,1,4,5,7]=>[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]
[6,2,3,1,4,7,5]=>[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]
[6,2,3,1,5,4,7]=>[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]
[6,2,3,1,5,7,4]=>[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]
[6,2,3,1,7,4,5]=>[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]
[6,2,3,1,7,5,4]=>[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]
[6,2,3,4,1,5,7]=>[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]
[6,2,3,4,1,7,5]=>[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]
[6,2,3,4,5,1,7]=>[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]
[6,2,3,4,5,7,1]=>[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]
[6,2,3,4,7,1,5]=>[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]
[6,2,3,4,7,5,1]=>[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]
[6,2,3,5,1,4,7]=>[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]
[6,2,3,5,1,7,4]=>[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]
[6,2,3,5,4,1,7]=>[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]
[6,2,3,5,4,7,1]=>[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]
[6,2,3,5,7,1,4]=>[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]
[6,2,3,5,7,4,1]=>[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]
[6,2,3,7,1,4,5]=>[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]
[6,2,3,7,1,5,4]=>[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]
[6,2,3,7,4,1,5]=>[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]
[6,2,3,7,4,5,1]=>[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]
[6,2,3,7,5,1,4]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]
[6,2,3,7,5,4,1]=>[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]
[6,2,4,1,3,5,7]=>[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]
[6,2,4,1,3,7,5]=>[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]
[6,2,4,1,5,3,7]=>[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]
[6,2,4,1,5,7,3]=>[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]
[6,2,4,1,7,3,5]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]
[6,2,4,1,7,5,3]=>[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]
[6,2,4,3,1,5,7]=>[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]
[6,2,4,3,1,7,5]=>[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]
[6,2,4,3,5,1,7]=>[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]
[6,2,4,3,5,7,1]=>[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]
[6,2,4,3,7,1,5]=>[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]
[6,2,4,3,7,5,1]=>[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]
[6,2,4,5,1,3,7]=>[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]
[6,2,4,5,1,7,3]=>[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]
[6,2,4,5,3,1,7]=>[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]
[6,2,4,5,3,7,1]=>[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]
[6,2,4,5,7,1,3]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]
[6,2,4,5,7,3,1]=>[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]
[6,2,4,7,1,3,5]=>[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]
[6,2,4,7,1,5,3]=>[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]
[6,2,4,7,3,1,5]=>[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]
[6,2,4,7,3,5,1]=>[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]
[6,2,4,7,5,1,3]=>[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]
[6,2,4,7,5,3,1]=>[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]
[6,2,5,1,3,4,7]=>[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]
[6,2,5,1,3,7,4]=>[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]
[6,2,5,1,4,3,7]=>[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]
[6,2,5,1,4,7,3]=>[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]
[6,2,5,1,7,3,4]=>[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]
[6,2,5,1,7,4,3]=>[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]
[6,2,5,3,1,4,7]=>[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]
[6,2,5,3,1,7,4]=>[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]
[6,2,5,3,4,1,7]=>[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]
[6,2,5,3,4,7,1]=>[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]
[6,2,5,3,7,1,4]=>[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]
[6,2,5,3,7,4,1]=>[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]
[6,2,5,4,1,3,7]=>[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]
[6,2,5,4,1,7,3]=>[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]
[6,2,5,4,3,1,7]=>[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]
[6,2,5,4,3,7,1]=>[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]
[6,2,5,4,7,1,3]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]
[6,2,5,4,7,3,1]=>[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]
[6,2,5,7,1,3,4]=>[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]
[6,2,5,7,1,4,3]=>[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]
[6,2,5,7,3,1,4]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]
[6,2,5,7,3,4,1]=>[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]
[6,2,5,7,4,1,3]=>[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]
[6,2,5,7,4,3,1]=>[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]
[6,2,7,1,3,4,5]=>[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]
[6,2,7,1,3,5,4]=>[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]
[6,2,7,1,4,3,5]=>[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]
[6,2,7,1,4,5,3]=>[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]
[6,2,7,1,5,3,4]=>[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]
[6,2,7,1,5,4,3]=>[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]
[6,2,7,3,1,4,5]=>[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]
[6,2,7,3,1,5,4]=>[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]
[6,2,7,3,4,1,5]=>[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]
[6,2,7,3,4,5,1]=>[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]
[6,2,7,3,5,1,4]=>[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]
[6,2,7,3,5,4,1]=>[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]
[6,2,7,4,1,3,5]=>[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]
[6,2,7,4,1,5,3]=>[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]
[6,2,7,4,3,1,5]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]
[6,2,7,4,3,5,1]=>[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]
[6,2,7,4,5,1,3]=>[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]
[6,2,7,4,5,3,1]=>[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]
[6,2,7,5,1,3,4]=>[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]
[6,2,7,5,1,4,3]=>[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]
[6,2,7,5,3,1,4]=>[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]
[6,2,7,5,3,4,1]=>[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]
[6,2,7,5,4,1,3]=>[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]
[6,2,7,5,4,3,1]=>[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]
[6,3,1,2,4,5,7]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]
[6,3,1,2,4,7,5]=>[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]
[6,3,1,2,5,4,7]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]
[6,3,1,2,5,7,4]=>[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]
[6,3,1,2,7,4,5]=>[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]
[6,3,1,2,7,5,4]=>[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]
[6,3,1,4,2,5,7]=>[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]
[6,3,1,4,2,7,5]=>[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]
[6,3,1,4,5,2,7]=>[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]
[6,3,1,4,5,7,2]=>[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]
[6,3,1,4,7,2,5]=>[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]
[6,3,1,4,7,5,2]=>[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]
[6,3,1,5,2,4,7]=>[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]
[6,3,1,5,2,7,4]=>[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]
[6,3,1,5,4,2,7]=>[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]
[6,3,1,5,4,7,2]=>[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]
[6,3,1,5,7,2,4]=>[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]
[6,3,1,5,7,4,2]=>[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]
[6,3,1,7,2,4,5]=>[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]
[6,3,1,7,2,5,4]=>[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]
[6,3,1,7,4,2,5]=>[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]
[6,3,1,7,4,5,2]=>[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]
[6,3,1,7,5,2,4]=>[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]
[6,3,1,7,5,4,2]=>[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]
[6,3,2,1,4,5,7]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]
[6,3,2,1,4,7,5]=>[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]
[6,3,2,1,5,4,7]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]
[6,3,2,1,5,7,4]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]
[6,3,2,1,7,4,5]=>[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]
[6,3,2,1,7,5,4]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[6,3,2,4,1,5,7]=>[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]
[6,3,2,4,1,7,5]=>[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]
[6,3,2,4,5,1,7]=>[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]
[6,3,2,4,5,7,1]=>[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]
[6,3,2,4,7,1,5]=>[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]
[6,3,2,4,7,5,1]=>[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]
[6,3,2,5,1,4,7]=>[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]
[6,3,2,5,1,7,4]=>[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]
[6,3,2,5,4,1,7]=>[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]
[6,3,2,5,4,7,1]=>[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]
[6,3,2,5,7,1,4]=>[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]
[6,3,2,5,7,4,1]=>[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]
[6,3,2,7,1,4,5]=>[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]
[6,3,2,7,1,5,4]=>[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]
[6,3,2,7,4,1,5]=>[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]
[6,3,2,7,4,5,1]=>[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]
[6,3,2,7,5,1,4]=>[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]
[6,3,2,7,5,4,1]=>[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]
[6,3,4,1,2,5,7]=>[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]
[6,3,4,1,2,7,5]=>[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]
[6,3,4,1,5,2,7]=>[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]
[6,3,4,1,5,7,2]=>[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]
[6,3,4,1,7,2,5]=>[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]
[6,3,4,1,7,5,2]=>[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]
[6,3,4,2,1,5,7]=>[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]
[6,3,4,2,1,7,5]=>[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]
[6,3,4,2,5,1,7]=>[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]
[6,3,4,2,5,7,1]=>[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]
[6,3,4,2,7,1,5]=>[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]
[6,3,4,2,7,5,1]=>[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]
[6,3,4,5,1,2,7]=>[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]
[6,3,4,5,1,7,2]=>[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]
[6,3,4,5,2,1,7]=>[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]
[6,3,4,5,2,7,1]=>[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]
[6,3,4,5,7,1,2]=>[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]
[6,3,4,5,7,2,1]=>[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]
[6,3,4,7,1,2,5]=>[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]
[6,3,4,7,1,5,2]=>[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]
[6,3,4,7,2,1,5]=>[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]
[6,3,4,7,2,5,1]=>[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]
[6,3,4,7,5,1,2]=>[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]
[6,3,4,7,5,2,1]=>[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]
[6,3,5,1,2,4,7]=>[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]
[6,3,5,1,2,7,4]=>[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]
[6,3,5,1,4,2,7]=>[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]
[6,3,5,1,4,7,2]=>[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]
[6,3,5,1,7,2,4]=>[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]
[6,3,5,1,7,4,2]=>[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]
[6,3,5,2,1,4,7]=>[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]
[6,3,5,2,1,7,4]=>[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]
[6,3,5,2,4,1,7]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]
[6,3,5,2,4,7,1]=>[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]
[6,3,5,2,7,1,4]=>[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]
[6,3,5,2,7,4,1]=>[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]
[6,3,5,4,1,2,7]=>[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]
[6,3,5,4,1,7,2]=>[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]
[6,3,5,4,2,1,7]=>[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]
[6,3,5,4,2,7,1]=>[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]
[6,3,5,4,7,1,2]=>[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]
[6,3,5,4,7,2,1]=>[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]
[6,3,5,7,1,2,4]=>[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]
[6,3,5,7,1,4,2]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]
[6,3,5,7,2,1,4]=>[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]
[6,3,5,7,2,4,1]=>[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]
[6,3,5,7,4,1,2]=>[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]
[6,3,5,7,4,2,1]=>[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]
[6,3,7,1,2,4,5]=>[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]
[6,3,7,1,2,5,4]=>[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]
[6,3,7,1,4,2,5]=>[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]
[6,3,7,1,4,5,2]=>[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]
[6,3,7,1,5,2,4]=>[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]
[6,3,7,1,5,4,2]=>[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]
[6,3,7,2,1,4,5]=>[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]
[6,3,7,2,1,5,4]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]
[6,3,7,2,4,1,5]=>[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]
[6,3,7,2,4,5,1]=>[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]
[6,3,7,2,5,1,4]=>[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]
[6,3,7,2,5,4,1]=>[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]
[6,3,7,4,1,2,5]=>[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]
[6,3,7,4,1,5,2]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]
[6,3,7,4,2,1,5]=>[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]
[6,3,7,4,2,5,1]=>[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]
[6,3,7,4,5,1,2]=>[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]
[6,3,7,4,5,2,1]=>[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]
[6,3,7,5,1,2,4]=>[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]
[6,3,7,5,1,4,2]=>[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]
[6,3,7,5,2,1,4]=>[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]
[6,3,7,5,2,4,1]=>[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]
[6,3,7,5,4,1,2]=>[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]
[6,3,7,5,4,2,1]=>[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]
[6,4,1,2,3,5,7]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]
[6,4,1,2,3,7,5]=>[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]
[6,4,1,2,5,3,7]=>[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]
[6,4,1,2,5,7,3]=>[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]
[6,4,1,2,7,3,5]=>[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]
[6,4,1,2,7,5,3]=>[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]
[6,4,1,3,2,5,7]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]
[6,4,1,3,2,7,5]=>[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]
[6,4,1,3,5,2,7]=>[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]
[6,4,1,3,5,7,2]=>[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]
[6,4,1,3,7,2,5]=>[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]
[6,4,1,3,7,5,2]=>[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]
[6,4,1,5,2,3,7]=>[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]
[6,4,1,5,2,7,3]=>[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]
[6,4,1,5,3,2,7]=>[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]
[6,4,1,5,3,7,2]=>[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]
[6,4,1,5,7,2,3]=>[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]
[6,4,1,5,7,3,2]=>[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]
[6,4,1,7,2,3,5]=>[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]
[6,4,1,7,2,5,3]=>[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]
[6,4,1,7,3,2,5]=>[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]
[6,4,1,7,3,5,2]=>[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]
[6,4,1,7,5,2,3]=>[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]
[6,4,1,7,5,3,2]=>[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]
[6,4,2,1,3,5,7]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]
[6,4,2,1,3,7,5]=>[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]
[6,4,2,1,5,3,7]=>[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]
[6,4,2,1,5,7,3]=>[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]
[6,4,2,1,7,3,5]=>[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]
[6,4,2,1,7,5,3]=>[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]
[6,4,2,3,1,5,7]=>[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]
[6,4,2,3,1,7,5]=>[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]
[6,4,2,3,5,1,7]=>[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]
[6,4,2,3,5,7,1]=>[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]
[6,4,2,3,7,1,5]=>[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]
[6,4,2,3,7,5,1]=>[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]
[6,4,2,5,1,3,7]=>[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]
[6,4,2,5,1,7,3]=>[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]
[6,4,2,5,3,1,7]=>[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]
[6,4,2,5,3,7,1]=>[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]
[6,4,2,5,7,1,3]=>[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]
[6,4,2,5,7,3,1]=>[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]
[6,4,2,7,1,3,5]=>[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]
[6,4,2,7,1,5,3]=>[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]
[6,4,2,7,3,1,5]=>[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]
[6,4,2,7,3,5,1]=>[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]
[6,4,2,7,5,1,3]=>[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]
[6,4,2,7,5,3,1]=>[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]
[6,4,3,1,2,5,7]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]
[6,4,3,1,2,7,5]=>[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]
[6,4,3,1,5,2,7]=>[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]
[6,4,3,1,5,7,2]=>[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]
[6,4,3,1,7,2,5]=>[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]
[6,4,3,1,7,5,2]=>[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]
[6,4,3,2,1,5,7]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]
[6,4,3,2,1,7,5]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[6,4,3,2,5,1,7]=>[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]
[6,4,3,2,5,7,1]=>[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]
[6,4,3,2,7,1,5]=>[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]
[6,4,3,2,7,5,1]=>[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]
[6,4,3,5,1,2,7]=>[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]
[6,4,3,5,1,7,2]=>[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]
[6,4,3,5,2,1,7]=>[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]
[6,4,3,5,2,7,1]=>[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]
[6,4,3,5,7,1,2]=>[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]
[6,4,3,5,7,2,1]=>[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]
[6,4,3,7,1,2,5]=>[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]
[6,4,3,7,1,5,2]=>[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]
[6,4,3,7,2,1,5]=>[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]
[6,4,3,7,2,5,1]=>[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]
[6,4,3,7,5,1,2]=>[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]
[6,4,3,7,5,2,1]=>[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]
[6,4,5,1,2,3,7]=>[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]
[6,4,5,1,2,7,3]=>[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]
[6,4,5,1,3,2,7]=>[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]
[6,4,5,1,3,7,2]=>[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]
[6,4,5,1,7,2,3]=>[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]
[6,4,5,1,7,3,2]=>[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]
[6,4,5,2,1,3,7]=>[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]
[6,4,5,2,1,7,3]=>[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]
[6,4,5,2,3,1,7]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]
[6,4,5,2,3,7,1]=>[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]
[6,4,5,2,7,1,3]=>[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]
[6,4,5,2,7,3,1]=>[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]
[6,4,5,3,1,2,7]=>[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]
[6,4,5,3,1,7,2]=>[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]
[6,4,5,3,2,1,7]=>[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]
[6,4,5,3,2,7,1]=>[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]
[6,4,5,3,7,1,2]=>[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]
[6,4,5,3,7,2,1]=>[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]
[6,4,5,7,1,2,3]=>[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]
[6,4,5,7,1,3,2]=>[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]
[6,4,5,7,2,1,3]=>[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]
[6,4,5,7,2,3,1]=>[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]
[6,4,5,7,3,1,2]=>[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]
[6,4,5,7,3,2,1]=>[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]
[6,4,7,1,2,3,5]=>[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]
[6,4,7,1,2,5,3]=>[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]
[6,4,7,1,3,2,5]=>[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]
[6,4,7,1,3,5,2]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]
[6,4,7,1,5,2,3]=>[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]
[6,4,7,1,5,3,2]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]
[6,4,7,2,1,3,5]=>[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]
[6,4,7,2,1,5,3]=>[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]
[6,4,7,2,3,1,5]=>[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]
[6,4,7,2,3,5,1]=>[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]
[6,4,7,2,5,1,3]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]
[6,4,7,2,5,3,1]=>[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]
[6,4,7,3,1,2,5]=>[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]
[6,4,7,3,1,5,2]=>[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]
[6,4,7,3,2,1,5]=>[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]
[6,4,7,3,2,5,1]=>[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]
[6,4,7,3,5,1,2]=>[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]
[6,4,7,3,5,2,1]=>[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]
[6,4,7,5,1,2,3]=>[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]
[6,4,7,5,1,3,2]=>[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]
[6,4,7,5,2,1,3]=>[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]
[6,4,7,5,2,3,1]=>[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]
[6,4,7,5,3,1,2]=>[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]
[6,4,7,5,3,2,1]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]
[6,5,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]
[6,5,1,2,3,7,4]=>[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]
[6,5,1,2,4,3,7]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]
[6,5,1,2,4,7,3]=>[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]
[6,5,1,2,7,3,4]=>[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]
[6,5,1,2,7,4,3]=>[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]
[6,5,1,3,2,4,7]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]
[6,5,1,3,2,7,4]=>[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]
[6,5,1,3,4,2,7]=>[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]
[6,5,1,3,4,7,2]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]
[6,5,1,3,7,2,4]=>[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]
[6,5,1,3,7,4,2]=>[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]
[6,5,1,4,2,3,7]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]
[6,5,1,4,2,7,3]=>[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]
[6,5,1,4,3,2,7]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]
[6,5,1,4,3,7,2]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]
[6,5,1,4,7,2,3]=>[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]
[6,5,1,4,7,3,2]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]
[6,5,1,7,2,3,4]=>[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]
[6,5,1,7,2,4,3]=>[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]
[6,5,1,7,3,2,4]=>[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]
[6,5,1,7,3,4,2]=>[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]
[6,5,1,7,4,2,3]=>[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]
[6,5,1,7,4,3,2]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]
[6,5,2,1,3,4,7]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]
[6,5,2,1,3,7,4]=>[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]
[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]
[6,5,2,1,4,7,3]=>[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]
[6,5,2,1,7,3,4]=>[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]
[6,5,2,1,7,4,3]=>[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]
[6,5,2,3,1,4,7]=>[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]
[6,5,2,3,1,7,4]=>[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]
[6,5,2,3,4,1,7]=>[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]
[6,5,2,3,4,7,1]=>[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]
[6,5,2,3,7,1,4]=>[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]
[6,5,2,3,7,4,1]=>[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]
[6,5,2,4,1,3,7]=>[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]
[6,5,2,4,1,7,3]=>[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]
[6,5,2,4,3,1,7]=>[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]
[6,5,2,4,3,7,1]=>[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]
[6,5,2,4,7,1,3]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]
[6,5,2,4,7,3,1]=>[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]
[6,5,2,7,1,3,4]=>[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]
[6,5,2,7,1,4,3]=>[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]
[6,5,2,7,3,1,4]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]
[6,5,2,7,3,4,1]=>[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]
[6,5,2,7,4,1,3]=>[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]
[6,5,2,7,4,3,1]=>[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]
[6,5,3,1,2,4,7]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]
[6,5,3,1,2,7,4]=>[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]
[6,5,3,1,4,2,7]=>[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]
[6,5,3,1,4,7,2]=>[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]
[6,5,3,1,7,2,4]=>[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]
[6,5,3,1,7,4,2]=>[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]
[6,5,3,2,1,4,7]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]
[6,5,3,2,1,7,4]=>[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]
[6,5,3,2,4,1,7]=>[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]
[6,5,3,2,4,7,1]=>[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]
[6,5,3,2,7,1,4]=>[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]
[6,5,3,2,7,4,1]=>[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]
[6,5,3,4,1,2,7]=>[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]
[6,5,3,4,1,7,2]=>[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]
[6,5,3,4,2,1,7]=>[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]
[6,5,3,4,2,7,1]=>[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]
[6,5,3,4,7,1,2]=>[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]
[6,5,3,4,7,2,1]=>[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]
[6,5,3,7,1,2,4]=>[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]
[6,5,3,7,1,4,2]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]
[6,5,3,7,2,1,4]=>[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]
[6,5,3,7,2,4,1]=>[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]
[6,5,3,7,4,1,2]=>[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]
[6,5,3,7,4,2,1]=>[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]
[6,5,4,1,2,3,7]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]
[6,5,4,1,2,7,3]=>[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]
[6,5,4,1,3,2,7]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]
[6,5,4,1,3,7,2]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]
[6,5,4,1,7,2,3]=>[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]
[6,5,4,1,7,3,2]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]
[6,5,4,2,1,3,7]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]
[6,5,4,2,1,7,3]=>[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]
[6,5,4,2,3,1,7]=>[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]
[6,5,4,2,3,7,1]=>[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]
[6,5,4,2,7,1,3]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]
[6,5,4,2,7,3,1]=>[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]
[6,5,4,3,1,2,7]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]
[6,5,4,3,1,7,2]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]
[6,5,4,3,2,7,1]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]
[6,5,4,3,7,1,2]=>[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]
[6,5,4,3,7,2,1]=>[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]
[6,5,4,7,1,2,3]=>[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]
[6,5,4,7,1,3,2]=>[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]
[6,5,4,7,2,1,3]=>[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]
[6,5,4,7,2,3,1]=>[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]
[6,5,4,7,3,1,2]=>[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]
[6,5,4,7,3,2,1]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]
[6,5,7,1,2,3,4]=>[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]
[6,5,7,1,2,4,3]=>[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]
[6,5,7,1,3,2,4]=>[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]
[6,5,7,1,3,4,2]=>[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]
[6,5,7,1,4,2,3]=>[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]
[6,5,7,1,4,3,2]=>[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]
[6,5,7,2,1,3,4]=>[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]
[6,5,7,2,1,4,3]=>[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]
[6,5,7,2,3,1,4]=>[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]
[6,5,7,2,3,4,1]=>[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]
[6,5,7,2,4,1,3]=>[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]
[6,5,7,2,4,3,1]=>[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]
[6,5,7,3,1,2,4]=>[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]
[6,5,7,3,1,4,2]=>[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]
[6,5,7,3,2,1,4]=>[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]
[6,5,7,3,2,4,1]=>[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]
[6,5,7,3,4,1,2]=>[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]
[6,5,7,3,4,2,1]=>[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]
[6,5,7,4,1,2,3]=>[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]
[6,5,7,4,1,3,2]=>[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]
[6,5,7,4,2,1,3]=>[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]
[6,5,7,4,2,3,1]=>[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]
[6,5,7,4,3,1,2]=>[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]
[6,5,7,4,3,2,1]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]
[6,7,1,2,3,4,5]=>[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]
[6,7,1,2,3,5,4]=>[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]
[6,7,1,2,4,3,5]=>[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]
[6,7,1,2,4,5,3]=>[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]
[6,7,1,2,5,3,4]=>[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]
[6,7,1,2,5,4,3]=>[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]
[6,7,1,3,2,4,5]=>[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]
[6,7,1,3,2,5,4]=>[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]
[6,7,1,3,4,2,5]=>[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]
[6,7,1,3,4,5,2]=>[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]
[6,7,1,3,5,2,4]=>[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]
[6,7,1,3,5,4,2]=>[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]
[6,7,1,4,2,3,5]=>[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]
[6,7,1,4,2,5,3]=>[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]
[6,7,1,4,3,2,5]=>[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]
[6,7,1,4,3,5,2]=>[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]
[6,7,1,4,5,2,3]=>[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]
[6,7,1,4,5,3,2]=>[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]
[6,7,1,5,2,3,4]=>[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]
[6,7,1,5,2,4,3]=>[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]
[6,7,1,5,3,2,4]=>[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]
[6,7,1,5,3,4,2]=>[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]
[6,7,1,5,4,2,3]=>[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]
[6,7,1,5,4,3,2]=>[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]
[6,7,2,1,3,4,5]=>[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]
[6,7,2,1,3,5,4]=>[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]
[6,7,2,1,4,3,5]=>[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]
[6,7,2,1,4,5,3]=>[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]
[6,7,2,1,5,3,4]=>[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]
[6,7,2,1,5,4,3]=>[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]
[6,7,2,3,1,4,5]=>[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]
[6,7,2,3,1,5,4]=>[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]
[6,7,2,3,4,1,5]=>[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]
[6,7,2,3,4,5,1]=>[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]
[6,7,2,3,5,1,4]=>[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]
[6,7,2,3,5,4,1]=>[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]
[6,7,2,4,1,3,5]=>[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]
[6,7,2,4,1,5,3]=>[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]
[6,7,2,4,3,1,5]=>[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]
[6,7,2,4,3,5,1]=>[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]
[6,7,2,4,5,1,3]=>[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]
[6,7,2,4,5,3,1]=>[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]
[6,7,2,5,1,3,4]=>[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]
[6,7,2,5,1,4,3]=>[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]
[6,7,2,5,3,1,4]=>[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]
[6,7,2,5,3,4,1]=>[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]
[6,7,2,5,4,1,3]=>[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]
[6,7,2,5,4,3,1]=>[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]
[6,7,3,1,2,4,5]=>[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]
[6,7,3,1,2,5,4]=>[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]
[6,7,3,1,4,2,5]=>[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]
[6,7,3,1,4,5,2]=>[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]
[6,7,3,1,5,2,4]=>[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]
[6,7,3,1,5,4,2]=>[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]
[6,7,3,2,1,4,5]=>[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]
[6,7,3,2,1,5,4]=>[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]
[6,7,3,2,4,1,5]=>[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]
[6,7,3,2,4,5,1]=>[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]
[6,7,3,2,5,1,4]=>[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]
[6,7,3,2,5,4,1]=>[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]
[6,7,3,4,1,2,5]=>[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]
[6,7,3,4,1,5,2]=>[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]
[6,7,3,4,2,1,5]=>[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]
[6,7,3,4,2,5,1]=>[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]
[6,7,3,4,5,1,2]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]
[6,7,3,4,5,2,1]=>[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]
[6,7,3,5,1,2,4]=>[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]
[6,7,3,5,1,4,2]=>[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]
[6,7,3,5,2,1,4]=>[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]
[6,7,3,5,2,4,1]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]
[6,7,3,5,4,1,2]=>[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]
[6,7,3,5,4,2,1]=>[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]
[6,7,4,1,2,3,5]=>[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]
[6,7,4,1,2,5,3]=>[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]
[6,7,4,1,3,2,5]=>[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]
[6,7,4,1,3,5,2]=>[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]
[6,7,4,1,5,2,3]=>[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]
[6,7,4,1,5,3,2]=>[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]
[6,7,4,2,1,3,5]=>[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]
[6,7,4,2,1,5,3]=>[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]
[6,7,4,2,3,1,5]=>[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]
[6,7,4,2,3,5,1]=>[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]
[6,7,4,2,5,1,3]=>[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]
[6,7,4,2,5,3,1]=>[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]
[6,7,4,3,1,2,5]=>[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]
[6,7,4,3,1,5,2]=>[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]
[6,7,4,3,2,1,5]=>[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]
[6,7,4,3,2,5,1]=>[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]
[6,7,4,3,5,1,2]=>[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]
[6,7,4,3,5,2,1]=>[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]
[6,7,4,5,1,2,3]=>[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]
[6,7,4,5,1,3,2]=>[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]
[6,7,4,5,2,1,3]=>[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]
[6,7,4,5,2,3,1]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]
[6,7,4,5,3,1,2]=>[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]
[6,7,4,5,3,2,1]=>[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]
[6,7,5,1,2,3,4]=>[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]
[6,7,5,1,2,4,3]=>[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]
[6,7,5,1,3,2,4]=>[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]
[6,7,5,1,3,4,2]=>[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]
[6,7,5,1,4,2,3]=>[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]
[6,7,5,1,4,3,2]=>[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]
[6,7,5,2,1,3,4]=>[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]
[6,7,5,2,1,4,3]=>[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]
[6,7,5,2,3,1,4]=>[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]
[6,7,5,2,3,4,1]=>[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]
[6,7,5,2,4,1,3]=>[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]
[6,7,5,2,4,3,1]=>[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]
[6,7,5,3,1,2,4]=>[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]
[6,7,5,3,1,4,2]=>[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]
[6,7,5,3,2,1,4]=>[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]
[6,7,5,3,2,4,1]=>[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]
[6,7,5,3,4,1,2]=>[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]
[6,7,5,3,4,2,1]=>[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]
[6,7,5,4,1,2,3]=>[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]
[6,7,5,4,1,3,2]=>[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]
[6,7,5,4,2,1,3]=>[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]
[6,7,5,4,2,3,1]=>[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]
[6,7,5,4,3,1,2]=>[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]
[6,7,5,4,3,2,1]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]
[7,1,2,3,4,6,5]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]
[7,1,2,3,5,4,6]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]
[7,1,2,3,5,6,4]=>[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]
[7,1,2,3,6,4,5]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]
[7,1,2,3,6,5,4]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]
[7,1,2,4,3,5,6]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]
[7,1,2,4,3,6,5]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]
[7,1,2,4,5,3,6]=>[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]
[7,1,2,4,5,6,3]=>[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]
[7,1,2,4,6,3,5]=>[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]
[7,1,2,4,6,5,3]=>[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]
[7,1,2,5,3,4,6]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]
[7,1,2,5,3,6,4]=>[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]
[7,1,2,5,4,3,6]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]
[7,1,2,5,4,6,3]=>[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]
[7,1,2,5,6,3,4]=>[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]
[7,1,2,5,6,4,3]=>[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]
[7,1,2,6,3,4,5]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]
[7,1,2,6,3,5,4]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]
[7,1,2,6,4,3,5]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]
[7,1,2,6,4,5,3]=>[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]
[7,1,2,6,5,3,4]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]
[7,1,2,6,5,4,3]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]
[7,1,3,2,4,5,6]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]
[7,1,3,2,4,6,5]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]
[7,1,3,2,5,4,6]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]
[7,1,3,2,5,6,4]=>[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]
[7,1,3,2,6,4,5]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]
[7,1,3,2,6,5,4]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]
[7,1,3,4,2,5,6]=>[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]
[7,1,3,4,2,6,5]=>[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]
[7,1,3,4,5,2,6]=>[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]
[7,1,3,4,5,6,2]=>[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]
[7,1,3,4,6,2,5]=>[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]
[7,1,3,4,6,5,2]=>[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]
[7,1,3,5,2,4,6]=>[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]
[7,1,3,5,2,6,4]=>[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]
[7,1,3,5,4,2,6]=>[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]
[7,1,3,5,4,6,2]=>[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]
[7,1,3,5,6,2,4]=>[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]
[7,1,3,5,6,4,2]=>[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]
[7,1,3,6,2,4,5]=>[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]
[7,1,3,6,2,5,4]=>[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]
[7,1,3,6,4,2,5]=>[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]
[7,1,3,6,4,5,2]=>[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]
[7,1,3,6,5,2,4]=>[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]
[7,1,3,6,5,4,2]=>[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]
[7,1,4,2,3,5,6]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]
[7,1,4,2,3,6,5]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]
[7,1,4,2,5,3,6]=>[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]
[7,1,4,2,5,6,3]=>[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]
[7,1,4,2,6,3,5]=>[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]
[7,1,4,2,6,5,3]=>[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]
[7,1,4,3,2,5,6]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]
[7,1,4,3,2,6,5]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]
[7,1,4,3,5,2,6]=>[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]
[7,1,4,3,5,6,2]=>[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]
[7,1,4,3,6,2,5]=>[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]
[7,1,4,3,6,5,2]=>[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]
[7,1,4,5,2,3,6]=>[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]
[7,1,4,5,2,6,3]=>[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]
[7,1,4,5,3,2,6]=>[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]
[7,1,4,5,3,6,2]=>[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]
[7,1,4,5,6,2,3]=>[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]
[7,1,4,5,6,3,2]=>[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]
[7,1,4,6,2,3,5]=>[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]
[7,1,4,6,2,5,3]=>[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]
[7,1,4,6,3,2,5]=>[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]
[7,1,4,6,3,5,2]=>[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]
[7,1,4,6,5,2,3]=>[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]
[7,1,4,6,5,3,2]=>[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]
[7,1,5,2,3,4,6]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]
[7,1,5,2,3,6,4]=>[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]
[7,1,5,2,4,3,6]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]
[7,1,5,2,4,6,3]=>[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]
[7,1,5,2,6,3,4]=>[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]
[7,1,5,2,6,4,3]=>[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]
[7,1,5,3,2,4,6]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]
[7,1,5,3,2,6,4]=>[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]
[7,1,5,3,4,2,6]=>[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]
[7,1,5,3,4,6,2]=>[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]
[7,1,5,3,6,2,4]=>[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]
[7,1,5,3,6,4,2]=>[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]
[7,1,5,4,2,3,6]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]
[7,1,5,4,2,6,3]=>[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]
[7,1,5,4,3,2,6]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]
[7,1,5,4,3,6,2]=>[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]
[7,1,5,4,6,2,3]=>[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]
[7,1,5,4,6,3,2]=>[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]
[7,1,5,6,2,3,4]=>[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]
[7,1,5,6,2,4,3]=>[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]
[7,1,5,6,3,2,4]=>[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]
[7,1,5,6,3,4,2]=>[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]
[7,1,5,6,4,2,3]=>[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]
[7,1,5,6,4,3,2]=>[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]
[7,1,6,2,3,4,5]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]
[7,1,6,2,3,5,4]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]
[7,1,6,2,4,3,5]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]
[7,1,6,2,4,5,3]=>[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]
[7,1,6,2,5,3,4]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]
[7,1,6,2,5,4,3]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]
[7,1,6,3,2,4,5]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]
[7,1,6,3,2,5,4]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]
[7,1,6,3,4,2,5]=>[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]
[7,1,6,3,4,5,2]=>[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]
[7,1,6,3,5,2,4]=>[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]
[7,1,6,3,5,4,2]=>[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]
[7,1,6,4,2,3,5]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]
[7,1,6,4,2,5,3]=>[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]
[7,1,6,4,3,2,5]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]
[7,1,6,4,3,5,2]=>[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]
[7,1,6,4,5,2,3]=>[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]
[7,1,6,4,5,3,2]=>[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]
[7,1,6,5,2,3,4]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]
[7,1,6,5,2,4,3]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]
[7,1,6,5,3,2,4]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]
[7,1,6,5,3,4,2]=>[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]
[7,1,6,5,4,2,3]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]
[7,1,6,5,4,3,2]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]
[7,2,1,3,4,5,6]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]
[7,2,1,3,4,6,5]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]
[7,2,1,3,5,4,6]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]
[7,2,1,3,5,6,4]=>[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]
[7,2,1,3,6,4,5]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]
[7,2,1,3,6,5,4]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]
[7,2,1,4,3,5,6]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]
[7,2,1,4,3,6,5]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]
[7,2,1,4,5,3,6]=>[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]
[7,2,1,4,5,6,3]=>[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]
[7,2,1,4,6,3,5]=>[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]
[7,2,1,4,6,5,3]=>[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]
[7,2,1,5,3,4,6]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]
[7,2,1,5,3,6,4]=>[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]
[7,2,1,5,4,3,6]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]
[7,2,1,5,4,6,3]=>[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]
[7,2,1,5,6,3,4]=>[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]
[7,2,1,5,6,4,3]=>[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]
[7,2,1,6,3,4,5]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]
[7,2,1,6,3,5,4]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]
[7,2,1,6,4,3,5]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]
[7,2,1,6,4,5,3]=>[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]
[7,2,1,6,5,3,4]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]
[7,2,1,6,5,4,3]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]
[7,2,3,1,4,5,6]=>[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]
[7,2,3,1,4,6,5]=>[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]
[7,2,3,1,5,4,6]=>[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]
[7,2,3,1,5,6,4]=>[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]
[7,2,3,1,6,4,5]=>[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]
[7,2,3,1,6,5,4]=>[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]
[7,2,3,4,1,5,6]=>[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]
[7,2,3,4,1,6,5]=>[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]
[7,2,3,4,5,1,6]=>[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]
[7,2,3,4,5,6,1]=>[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]
[7,2,3,4,6,1,5]=>[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]
[7,2,3,4,6,5,1]=>[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]
[7,2,3,5,1,4,6]=>[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]
[7,2,3,5,1,6,4]=>[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]
[7,2,3,5,4,1,6]=>[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]
[7,2,3,5,4,6,1]=>[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]
[7,2,3,5,6,1,4]=>[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]
[7,2,3,5,6,4,1]=>[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]
[7,2,3,6,1,4,5]=>[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]
[7,2,3,6,1,5,4]=>[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]
[7,2,3,6,4,1,5]=>[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]
[7,2,3,6,4,5,1]=>[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]
[7,2,3,6,5,1,4]=>[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]
[7,2,3,6,5,4,1]=>[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]
[7,2,4,1,3,5,6]=>[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]
[7,2,4,1,3,6,5]=>[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]
[7,2,4,1,5,3,6]=>[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]
[7,2,4,1,5,6,3]=>[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]
[7,2,4,1,6,3,5]=>[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]
[7,2,4,1,6,5,3]=>[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]
[7,2,4,3,1,5,6]=>[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]
[7,2,4,3,1,6,5]=>[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]
[7,2,4,3,5,1,6]=>[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]
[7,2,4,3,5,6,1]=>[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]
[7,2,4,3,6,1,5]=>[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]
[7,2,4,3,6,5,1]=>[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]
[7,2,4,5,1,3,6]=>[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]
[7,2,4,5,1,6,3]=>[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]
[7,2,4,5,3,1,6]=>[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]
[7,2,4,5,3,6,1]=>[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]
[7,2,4,5,6,1,3]=>[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]
[7,2,4,5,6,3,1]=>[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]
[7,2,4,6,1,3,5]=>[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]
[7,2,4,6,1,5,3]=>[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]
[7,2,4,6,3,1,5]=>[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]
[7,2,4,6,3,5,1]=>[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]
[7,2,4,6,5,1,3]=>[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]
[7,2,4,6,5,3,1]=>[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]
[7,2,5,1,3,4,6]=>[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]
[7,2,5,1,3,6,4]=>[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]
[7,2,5,1,4,3,6]=>[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]
[7,2,5,1,4,6,3]=>[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]
[7,2,5,1,6,3,4]=>[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]
[7,2,5,1,6,4,3]=>[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]
[7,2,5,3,1,4,6]=>[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]
[7,2,5,3,1,6,4]=>[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]
[7,2,5,3,4,1,6]=>[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]
[7,2,5,3,4,6,1]=>[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]
[7,2,5,3,6,1,4]=>[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]
[7,2,5,3,6,4,1]=>[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]
[7,2,5,4,1,3,6]=>[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]
[7,2,5,4,1,6,3]=>[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]
[7,2,5,4,3,1,6]=>[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]
[7,2,5,4,3,6,1]=>[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]
[7,2,5,4,6,1,3]=>[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]
[7,2,5,4,6,3,1]=>[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]
[7,2,5,6,1,3,4]=>[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]
[7,2,5,6,1,4,3]=>[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]
[7,2,5,6,3,1,4]=>[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]
[7,2,5,6,3,4,1]=>[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]
[7,2,5,6,4,1,3]=>[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]
[7,2,5,6,4,3,1]=>[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]
[7,2,6,1,3,4,5]=>[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]
[7,2,6,1,3,5,4]=>[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]
[7,2,6,1,4,3,5]=>[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]
[7,2,6,1,4,5,3]=>[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]
[7,2,6,1,5,3,4]=>[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]
[7,2,6,1,5,4,3]=>[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]
[7,2,6,3,1,4,5]=>[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]
[7,2,6,3,1,5,4]=>[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]
[7,2,6,3,4,1,5]=>[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]
[7,2,6,3,4,5,1]=>[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]
[7,2,6,3,5,1,4]=>[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]
[7,2,6,3,5,4,1]=>[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]
[7,2,6,4,1,3,5]=>[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]
[7,2,6,4,1,5,3]=>[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]
[7,2,6,4,3,1,5]=>[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]
[7,2,6,4,3,5,1]=>[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]
[7,2,6,4,5,1,3]=>[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]
[7,2,6,4,5,3,1]=>[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]
[7,2,6,5,1,3,4]=>[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]
[7,2,6,5,1,4,3]=>[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]
[7,2,6,5,3,1,4]=>[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]
[7,2,6,5,3,4,1]=>[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]
[7,2,6,5,4,1,3]=>[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]
[7,2,6,5,4,3,1]=>[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]
[7,3,1,2,4,5,6]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]
[7,3,1,2,4,6,5]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]
[7,3,1,2,5,4,6]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]
[7,3,1,2,5,6,4]=>[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]
[7,3,1,2,6,4,5]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]
[7,3,1,2,6,5,4]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]
[7,3,1,4,2,5,6]=>[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]
[7,3,1,4,2,6,5]=>[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]
[7,3,1,4,5,2,6]=>[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]
[7,3,1,4,5,6,2]=>[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]
[7,3,1,4,6,2,5]=>[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]
[7,3,1,4,6,5,2]=>[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]
[7,3,1,5,2,4,6]=>[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]
[7,3,1,5,2,6,4]=>[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]
[7,3,1,5,4,2,6]=>[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]
[7,3,1,5,4,6,2]=>[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]
[7,3,1,5,6,2,4]=>[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]
[7,3,1,5,6,4,2]=>[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]
[7,3,1,6,2,4,5]=>[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]
[7,3,1,6,2,5,4]=>[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]
[7,3,1,6,4,2,5]=>[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]
[7,3,1,6,4,5,2]=>[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]
[7,3,1,6,5,2,4]=>[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]
[7,3,1,6,5,4,2]=>[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]
[7,3,2,1,4,5,6]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]
[7,3,2,1,4,6,5]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]
[7,3,2,1,5,4,6]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]
[7,3,2,1,5,6,4]=>[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]
[7,3,2,1,6,4,5]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]
[7,3,2,1,6,5,4]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]
[7,3,2,4,1,5,6]=>[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]
[7,3,2,4,1,6,5]=>[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]
[7,3,2,4,5,1,6]=>[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]
[7,3,2,4,5,6,1]=>[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]
[7,3,2,4,6,1,5]=>[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]
[7,3,2,4,6,5,1]=>[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]
[7,3,2,5,1,4,6]=>[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]
[7,3,2,5,1,6,4]=>[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]
[7,3,2,5,4,1,6]=>[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]
[7,3,2,5,4,6,1]=>[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]
[7,3,2,5,6,1,4]=>[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]
[7,3,2,5,6,4,1]=>[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]
[7,3,2,6,1,4,5]=>[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]
[7,3,2,6,1,5,4]=>[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]
[7,3,2,6,4,1,5]=>[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]
[7,3,2,6,4,5,1]=>[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]
[7,3,2,6,5,1,4]=>[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]
[7,3,2,6,5,4,1]=>[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]
[7,3,4,1,2,5,6]=>[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]
[7,3,4,1,2,6,5]=>[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]
[7,3,4,1,5,2,6]=>[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]
[7,3,4,1,5,6,2]=>[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]
[7,3,4,1,6,2,5]=>[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]
[7,3,4,1,6,5,2]=>[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]
[7,3,4,2,1,5,6]=>[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]
[7,3,4,2,1,6,5]=>[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]
[7,3,4,2,5,1,6]=>[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]
[7,3,4,2,5,6,1]=>[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]
[7,3,4,2,6,1,5]=>[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]
[7,3,4,2,6,5,1]=>[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]
[7,3,4,5,1,2,6]=>[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]
[7,3,4,5,1,6,2]=>[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]
[7,3,4,5,2,1,6]=>[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]
[7,3,4,5,2,6,1]=>[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]
[7,3,4,5,6,1,2]=>[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]
[7,3,4,5,6,2,1]=>[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]
[7,3,4,6,1,2,5]=>[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]
[7,3,4,6,1,5,2]=>[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]
[7,3,4,6,2,1,5]=>[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]
[7,3,4,6,2,5,1]=>[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]
[7,3,4,6,5,1,2]=>[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]
[7,3,4,6,5,2,1]=>[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]
[7,3,5,1,2,4,6]=>[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]
[7,3,5,1,2,6,4]=>[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]
[7,3,5,1,4,2,6]=>[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]
[7,3,5,1,4,6,2]=>[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]
[7,3,5,1,6,2,4]=>[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]
[7,3,5,1,6,4,2]=>[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]
[7,3,5,2,1,4,6]=>[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]
[7,3,5,2,1,6,4]=>[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]
[7,3,5,2,4,1,6]=>[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]
[7,3,5,2,4,6,1]=>[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]
[7,3,5,2,6,1,4]=>[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]
[7,3,5,2,6,4,1]=>[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]
[7,3,5,4,1,2,6]=>[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]
[7,3,5,4,1,6,2]=>[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]
[7,3,5,4,2,1,6]=>[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]
[7,3,5,4,2,6,1]=>[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]
[7,3,5,4,6,1,2]=>[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]
[7,3,5,4,6,2,1]=>[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]
[7,3,5,6,1,2,4]=>[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]
[7,3,5,6,1,4,2]=>[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]
[7,3,5,6,2,1,4]=>[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]
[7,3,5,6,2,4,1]=>[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]
[7,3,5,6,4,1,2]=>[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]
[7,3,5,6,4,2,1]=>[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]
[7,3,6,1,2,4,5]=>[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]
[7,3,6,1,2,5,4]=>[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]
[7,3,6,1,4,2,5]=>[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]
[7,3,6,1,4,5,2]=>[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]
[7,3,6,1,5,2,4]=>[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]
[7,3,6,1,5,4,2]=>[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]
[7,3,6,2,1,4,5]=>[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]
[7,3,6,2,1,5,4]=>[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]
[7,3,6,2,4,1,5]=>[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]
[7,3,6,2,4,5,1]=>[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]
[7,3,6,2,5,1,4]=>[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]
[7,3,6,2,5,4,1]=>[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]
[7,3,6,4,1,2,5]=>[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]
[7,3,6,4,1,5,2]=>[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]
[7,3,6,4,2,1,5]=>[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]
[7,3,6,4,2,5,1]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]
[7,3,6,4,5,1,2]=>[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]
[7,3,6,4,5,2,1]=>[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]
[7,3,6,5,1,2,4]=>[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]
[7,3,6,5,1,4,2]=>[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]
[7,3,6,5,2,1,4]=>[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]
[7,3,6,5,2,4,1]=>[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]
[7,3,6,5,4,1,2]=>[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]
[7,3,6,5,4,2,1]=>[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]
[7,4,1,2,3,5,6]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]
[7,4,1,2,3,6,5]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]
[7,4,1,2,5,3,6]=>[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]
[7,4,1,2,5,6,3]=>[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]
[7,4,1,2,6,3,5]=>[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]
[7,4,1,2,6,5,3]=>[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]
[7,4,1,3,2,5,6]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]
[7,4,1,3,2,6,5]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]
[7,4,1,3,5,2,6]=>[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]
[7,4,1,3,5,6,2]=>[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]
[7,4,1,3,6,2,5]=>[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]
[7,4,1,3,6,5,2]=>[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]
[7,4,1,5,2,3,6]=>[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]
[7,4,1,5,2,6,3]=>[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]
[7,4,1,5,3,2,6]=>[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]
[7,4,1,5,3,6,2]=>[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]
[7,4,1,5,6,2,3]=>[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]
[7,4,1,5,6,3,2]=>[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]
[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]
[7,4,1,6,2,5,3]=>[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]
[7,4,1,6,3,2,5]=>[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]
[7,4,1,6,3,5,2]=>[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]
[7,4,1,6,5,2,3]=>[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]
[7,4,1,6,5,3,2]=>[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]
[7,4,2,1,3,5,6]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]
[7,4,2,1,3,6,5]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]
[7,4,2,1,5,3,6]=>[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]
[7,4,2,1,5,6,3]=>[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]
[7,4,2,1,6,3,5]=>[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]
[7,4,2,1,6,5,3]=>[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]
[7,4,2,3,1,5,6]=>[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]
[7,4,2,3,1,6,5]=>[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]
[7,4,2,3,5,1,6]=>[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]
[7,4,2,3,5,6,1]=>[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]
[7,4,2,3,6,1,5]=>[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]
[7,4,2,3,6,5,1]=>[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]
[7,4,2,5,1,3,6]=>[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]
[7,4,2,5,1,6,3]=>[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]
[7,4,2,5,3,1,6]=>[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]
[7,4,2,5,3,6,1]=>[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]
[7,4,2,5,6,1,3]=>[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]
[7,4,2,5,6,3,1]=>[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]
[7,4,2,6,1,3,5]=>[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]
[7,4,2,6,1,5,3]=>[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]
[7,4,2,6,3,1,5]=>[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]
[7,4,2,6,3,5,1]=>[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]
[7,4,2,6,5,1,3]=>[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]
[7,4,2,6,5,3,1]=>[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]
[7,4,3,1,2,5,6]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]
[7,4,3,1,2,6,5]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]
[7,4,3,1,5,2,6]=>[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]
[7,4,3,1,5,6,2]=>[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]
[7,4,3,1,6,2,5]=>[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]
[7,4,3,1,6,5,2]=>[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]
[7,4,3,2,1,5,6]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]
[7,4,3,2,1,6,5]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[7,4,3,2,5,1,6]=>[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]
[7,4,3,2,5,6,1]=>[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]
[7,4,3,2,6,1,5]=>[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]
[7,4,3,2,6,5,1]=>[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]
[7,4,3,5,1,2,6]=>[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]
[7,4,3,5,1,6,2]=>[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]
[7,4,3,5,2,1,6]=>[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]
[7,4,3,5,2,6,1]=>[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]
[7,4,3,5,6,1,2]=>[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]
[7,4,3,5,6,2,1]=>[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]
[7,4,3,6,1,2,5]=>[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]
[7,4,3,6,1,5,2]=>[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]
[7,4,3,6,2,1,5]=>[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]
[7,4,3,6,2,5,1]=>[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]
[7,4,3,6,5,1,2]=>[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]
[7,4,3,6,5,2,1]=>[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]
[7,4,5,1,2,3,6]=>[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]
[7,4,5,1,2,6,3]=>[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]
[7,4,5,1,3,2,6]=>[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]
[7,4,5,1,3,6,2]=>[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]
[7,4,5,1,6,2,3]=>[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]
[7,4,5,1,6,3,2]=>[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]
[7,4,5,2,1,3,6]=>[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]
[7,4,5,2,1,6,3]=>[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]
[7,4,5,2,3,1,6]=>[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]
[7,4,5,2,3,6,1]=>[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]
[7,4,5,2,6,1,3]=>[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]
[7,4,5,2,6,3,1]=>[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]
[7,4,5,3,1,2,6]=>[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]
[7,4,5,3,1,6,2]=>[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]
[7,4,5,3,2,1,6]=>[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]
[7,4,5,3,2,6,1]=>[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]
[7,4,5,3,6,1,2]=>[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]
[7,4,5,3,6,2,1]=>[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]
[7,4,5,6,1,2,3]=>[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]
[7,4,5,6,1,3,2]=>[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]
[7,4,5,6,2,1,3]=>[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]
[7,4,5,6,2,3,1]=>[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]
[7,4,5,6,3,1,2]=>[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]
[7,4,5,6,3,2,1]=>[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]
[7,4,6,1,2,3,5]=>[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]
[7,4,6,1,2,5,3]=>[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]
[7,4,6,1,3,2,5]=>[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]
[7,4,6,1,3,5,2]=>[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]
[7,4,6,1,5,2,3]=>[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]
[7,4,6,1,5,3,2]=>[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]
[7,4,6,2,1,3,5]=>[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]
[7,4,6,2,1,5,3]=>[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]
[7,4,6,2,3,1,5]=>[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]
[7,4,6,2,3,5,1]=>[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]
[7,4,6,2,5,1,3]=>[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]
[7,4,6,2,5,3,1]=>[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]
[7,4,6,3,1,2,5]=>[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]
[7,4,6,3,1,5,2]=>[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]
[7,4,6,3,2,1,5]=>[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]
[7,4,6,3,2,5,1]=>[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]
[7,4,6,3,5,1,2]=>[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]
[7,4,6,3,5,2,1]=>[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]
[7,4,6,5,1,2,3]=>[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]
[7,4,6,5,1,3,2]=>[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]
[7,4,6,5,2,1,3]=>[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]
[7,4,6,5,2,3,1]=>[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]
[7,4,6,5,3,1,2]=>[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]
[7,4,6,5,3,2,1]=>[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]
[7,5,1,2,3,4,6]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]
[7,5,1,2,3,6,4]=>[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]
[7,5,1,2,4,3,6]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]
[7,5,1,2,4,6,3]=>[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]
[7,5,1,2,6,3,4]=>[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]
[7,5,1,2,6,4,3]=>[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]
[7,5,1,3,2,4,6]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]
[7,5,1,3,2,6,4]=>[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]
[7,5,1,3,4,2,6]=>[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]
[7,5,1,3,4,6,2]=>[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]
[7,5,1,3,6,2,4]=>[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]
[7,5,1,3,6,4,2]=>[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]
[7,5,1,4,2,3,6]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]
[7,5,1,4,2,6,3]=>[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]
[7,5,1,4,3,2,6]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]
[7,5,1,4,3,6,2]=>[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]
[7,5,1,4,6,2,3]=>[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]
[7,5,1,4,6,3,2]=>[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]
[7,5,1,6,2,3,4]=>[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]
[7,5,1,6,2,4,3]=>[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]
[7,5,1,6,3,2,4]=>[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]
[7,5,1,6,3,4,2]=>[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]
[7,5,1,6,4,2,3]=>[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]
[7,5,1,6,4,3,2]=>[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]
[7,5,2,1,3,4,6]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]
[7,5,2,1,3,6,4]=>[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]
[7,5,2,1,4,3,6]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]
[7,5,2,1,4,6,3]=>[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]
[7,5,2,1,6,3,4]=>[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]
[7,5,2,1,6,4,3]=>[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]
[7,5,2,3,1,4,6]=>[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]
[7,5,2,3,1,6,4]=>[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]
[7,5,2,3,4,1,6]=>[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]
[7,5,2,3,4,6,1]=>[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]
[7,5,2,3,6,1,4]=>[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]
[7,5,2,3,6,4,1]=>[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]
[7,5,2,4,1,3,6]=>[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]
[7,5,2,4,1,6,3]=>[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]
[7,5,2,4,3,1,6]=>[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]
[7,5,2,4,3,6,1]=>[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]
[7,5,2,4,6,1,3]=>[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]
[7,5,2,4,6,3,1]=>[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]
[7,5,2,6,1,3,4]=>[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]
[7,5,2,6,1,4,3]=>[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]
[7,5,2,6,3,1,4]=>[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]
[7,5,2,6,3,4,1]=>[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]
[7,5,2,6,4,1,3]=>[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]
[7,5,2,6,4,3,1]=>[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]
[7,5,3,1,2,4,6]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]
[7,5,3,1,2,6,4]=>[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]
[7,5,3,1,4,2,6]=>[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]
[7,5,3,1,4,6,2]=>[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]
[7,5,3,1,6,2,4]=>[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]
[7,5,3,1,6,4,2]=>[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]
[7,5,3,2,1,4,6]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]
[7,5,3,2,1,6,4]=>[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]
[7,5,3,2,4,1,6]=>[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]
[7,5,3,2,4,6,1]=>[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]
[7,5,3,2,6,1,4]=>[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]
[7,5,3,2,6,4,1]=>[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]
[7,5,3,4,1,2,6]=>[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]
[7,5,3,4,1,6,2]=>[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]
[7,5,3,4,2,1,6]=>[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]
[7,5,3,4,2,6,1]=>[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]
[7,5,3,4,6,1,2]=>[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]
[7,5,3,4,6,2,1]=>[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]
[7,5,3,6,1,2,4]=>[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]
[7,5,3,6,1,4,2]=>[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]
[7,5,3,6,2,1,4]=>[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]
[7,5,3,6,2,4,1]=>[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]
[7,5,3,6,4,1,2]=>[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]
[7,5,3,6,4,2,1]=>[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]
[7,5,4,1,2,3,6]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]
[7,5,4,1,2,6,3]=>[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]
[7,5,4,1,3,2,6]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]
[7,5,4,1,3,6,2]=>[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]
[7,5,4,1,6,2,3]=>[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]
[7,5,4,1,6,3,2]=>[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]
[7,5,4,2,1,3,6]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]
[7,5,4,2,1,6,3]=>[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]
[7,5,4,2,3,1,6]=>[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]
[7,5,4,2,3,6,1]=>[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]
[7,5,4,2,6,1,3]=>[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]
[7,5,4,2,6,3,1]=>[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]
[7,5,4,3,1,2,6]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]
[7,5,4,3,1,6,2]=>[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]
[7,5,4,3,2,1,6]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[7,5,4,3,2,6,1]=>[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[1,6,2,3,4,5,7]
[7,5,4,3,6,1,2]=>[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]
[7,5,4,3,6,2,1]=>[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]
[7,5,4,6,1,2,3]=>[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]
[7,5,4,6,1,3,2]=>[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]
[7,5,4,6,2,1,3]=>[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]
[7,5,4,6,2,3,1]=>[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]
[7,5,4,6,3,1,2]=>[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]
[7,5,4,6,3,2,1]=>[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]
[7,5,6,1,2,3,4]=>[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]
[7,5,6,1,2,4,3]=>[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]
[7,5,6,1,3,2,4]=>[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]
[7,5,6,1,3,4,2]=>[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]
[7,5,6,1,4,2,3]=>[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]
[7,5,6,1,4,3,2]=>[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]
[7,5,6,2,1,3,4]=>[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]
[7,5,6,2,1,4,3]=>[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]
[7,5,6,2,3,1,4]=>[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]
[7,5,6,2,3,4,1]=>[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]
[7,5,6,2,4,1,3]=>[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]
[7,5,6,2,4,3,1]=>[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]
[7,5,6,3,1,2,4]=>[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]
[7,5,6,3,1,4,2]=>[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]
[7,5,6,3,2,1,4]=>[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]
[7,5,6,3,2,4,1]=>[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]
[7,5,6,3,4,1,2]=>[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]
[7,5,6,3,4,2,1]=>[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]
[7,5,6,4,1,2,3]=>[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]
[7,5,6,4,1,3,2]=>[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]
[7,5,6,4,2,1,3]=>[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]
[7,5,6,4,2,3,1]=>[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]
[7,5,6,4,3,1,2]=>[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]
[7,5,6,4,3,2,1]=>[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]
[7,6,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]
[7,6,1,2,3,5,4]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]
[7,6,1,2,4,3,5]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]
[7,6,1,2,4,5,3]=>[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]
[7,6,1,2,5,3,4]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]
[7,6,1,2,5,4,3]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]
[7,6,1,3,2,4,5]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]
[7,6,1,3,2,5,4]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]
[7,6,1,3,4,2,5]=>[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]
[7,6,1,3,4,5,2]=>[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]
[7,6,1,3,5,2,4]=>[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]
[7,6,1,3,5,4,2]=>[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]
[7,6,1,4,2,3,5]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]
[7,6,1,4,2,5,3]=>[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]
[7,6,1,4,3,2,5]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]
[7,6,1,4,3,5,2]=>[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]
[7,6,1,4,5,2,3]=>[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]
[7,6,1,4,5,3,2]=>[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]
[7,6,1,5,2,3,4]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]
[7,6,1,5,2,4,3]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]
[7,6,1,5,3,2,4]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]
[7,6,1,5,3,4,2]=>[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]
[7,6,1,5,4,2,3]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]
[7,6,1,5,4,3,2]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]
[7,6,2,1,3,4,5]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]
[7,6,2,1,3,5,4]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]
[7,6,2,1,4,3,5]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]
[7,6,2,1,4,5,3]=>[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]
[7,6,2,1,5,3,4]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]
[7,6,2,1,5,4,3]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]
[7,6,2,3,1,4,5]=>[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]
[7,6,2,3,1,5,4]=>[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]
[7,6,2,3,4,1,5]=>[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]
[7,6,2,3,4,5,1]=>[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]
[7,6,2,3,5,1,4]=>[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]
[7,6,2,3,5,4,1]=>[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]
[7,6,2,4,1,3,5]=>[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]
[7,6,2,4,1,5,3]=>[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]
[7,6,2,4,3,1,5]=>[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]
[7,6,2,4,3,5,1]=>[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]
[7,6,2,4,5,1,3]=>[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]
[7,6,2,4,5,3,1]=>[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]
[7,6,2,5,1,3,4]=>[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]
[7,6,2,5,1,4,3]=>[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]
[7,6,2,5,3,1,4]=>[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]
[7,6,2,5,3,4,1]=>[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]
[7,6,2,5,4,1,3]=>[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]
[7,6,2,5,4,3,1]=>[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]
[7,6,3,1,2,4,5]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]
[7,6,3,1,2,5,4]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]
[7,6,3,1,4,2,5]=>[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]
[7,6,3,1,4,5,2]=>[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]
[7,6,3,1,5,2,4]=>[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]
[7,6,3,1,5,4,2]=>[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]
[7,6,3,2,1,4,5]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]
[7,6,3,2,1,5,4]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]
[7,6,3,2,4,1,5]=>[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]
[7,6,3,2,4,5,1]=>[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]
[7,6,3,2,5,1,4]=>[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]
[7,6,3,2,5,4,1]=>[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]
[7,6,3,4,1,2,5]=>[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]
[7,6,3,4,1,5,2]=>[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]
[7,6,3,4,2,1,5]=>[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]
[7,6,3,4,2,5,1]=>[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]
[7,6,3,4,5,1,2]=>[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]
[7,6,3,4,5,2,1]=>[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]
[7,6,3,5,1,2,4]=>[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]
[7,6,3,5,1,4,2]=>[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]
[7,6,3,5,2,1,4]=>[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]
[7,6,3,5,2,4,1]=>[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]
[7,6,3,5,4,1,2]=>[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]
[7,6,3,5,4,2,1]=>[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]
[7,6,4,1,2,3,5]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]
[7,6,4,1,2,5,3]=>[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]
[7,6,4,1,3,2,5]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]
[7,6,4,1,3,5,2]=>[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]
[7,6,4,1,5,2,3]=>[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]
[7,6,4,1,5,3,2]=>[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]
[7,6,4,2,1,3,5]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]
[7,6,4,2,1,5,3]=>[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]
[7,6,4,2,3,1,5]=>[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]
[7,6,4,2,3,5,1]=>[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]
[7,6,4,2,5,1,3]=>[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]
[7,6,4,2,5,3,1]=>[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]
[7,6,4,3,1,2,5]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]
[7,6,4,3,1,5,2]=>[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]
[7,6,4,3,2,1,5]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]
[7,6,4,3,2,5,1]=>[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]
[7,6,4,3,5,1,2]=>[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]
[7,6,4,3,5,2,1]=>[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]
[7,6,4,5,1,2,3]=>[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]
[7,6,4,5,1,3,2]=>[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]
[7,6,4,5,2,1,3]=>[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]
[7,6,4,5,2,3,1]=>[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]
[7,6,4,5,3,1,2]=>[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]
[7,6,4,5,3,2,1]=>[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]
[7,6,5,1,2,3,4]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]
[7,6,5,1,2,4,3]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]
[7,6,5,1,3,2,4]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]
[7,6,5,1,3,4,2]=>[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]
[7,6,5,1,4,2,3]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]
[7,6,5,1,4,3,2]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]
[7,6,5,2,1,3,4]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]
[7,6,5,2,1,4,3]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]
[7,6,5,2,3,1,4]=>[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]
[7,6,5,2,3,4,1]=>[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]
[7,6,5,2,4,1,3]=>[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]
[7,6,5,2,4,3,1]=>[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]
[7,6,5,3,1,2,4]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]
[7,6,5,3,1,4,2]=>[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]
[7,6,5,3,2,1,4]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]
[7,6,5,3,2,4,1]=>[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]
[7,6,5,3,4,1,2]=>[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]
[7,6,5,3,4,2,1]=>[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]
[7,6,5,4,1,2,3]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]
[7,6,5,4,1,3,2]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]
[7,6,5,4,2,1,3]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]
[7,6,5,4,2,3,1]=>[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]
[7,6,5,4,3,1,2]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[7,8,6,5,4,3,2,1]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]
[7,6,8,5,4,3,2,1]=>[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]
[7,8,5,6,4,3,2,1]=>[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]
[7,6,5,8,4,3,2,1]=>[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]
[7,5,6,8,4,3,2,1]=>[8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]
[6,5,7,8,4,3,2,1]=>[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]
[5,6,7,8,4,3,2,1]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]
[8,7,6,4,5,3,2,1]=>[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]
[7,6,5,4,8,3,2,1]=>[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]
[6,5,7,4,8,3,2,1]=>[8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]
[4,5,6,7,8,3,2,1]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]
[8,7,6,5,3,4,2,1]=>[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]
[7,8,6,5,3,4,2,1]=>[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]
[5,6,7,8,3,4,2,1]=>[4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]
[8,7,6,5,4,2,3,1]=>[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]
[8,6,7,5,4,2,3,1]=>[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]
[8,6,7,4,5,2,3,1]=>[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]
[8,7,6,5,3,2,4,1]=>[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]
[8,7,6,5,2,3,4,1]=>[4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]=>[1,4,2,5,6,7,8,3]
[6,7,8,5,2,3,4,1]=>[4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]=>[1,4,2,5,8,3,6,7]
[7,6,5,4,3,2,8,1]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]
[5,4,6,3,7,2,8,1]=>[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]
[4,3,2,5,6,7,8,1]=>[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]
[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]
[8,7,6,5,4,3,1,2]=>[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]
[8,7,6,5,3,4,1,2]=>[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]
[7,6,5,4,3,8,1,2]=>[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]
[5,6,4,7,3,8,1,2]=>[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>[1,8,2,3,7,4,6,5]
[8,7,6,5,4,2,1,3]=>[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]
[6,7,8,5,4,1,2,3]=>[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[1,4,5,8,2,3,6,7]
[8,6,7,4,5,1,2,3]=>[2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]
[8,7,6,5,3,2,1,4]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]
[8,7,6,5,2,3,1,4]=>[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>[1,3,2,5,6,7,8,4]
[8,7,6,5,3,1,2,4]=>[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]
[8,7,6,5,2,1,3,4]=>[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]
[8,7,6,5,1,2,3,4]=>[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]
[7,6,5,8,1,2,3,4]=>[2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]
[5,6,7,8,1,2,3,4]=>[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]
[8,7,6,4,3,2,1,5]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]
[6,7,8,4,3,2,1,5]=>[5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]
[8,7,6,3,4,1,2,5]=>[2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]=>[1,4,2,3,6,7,8,5]
[8,7,6,4,2,1,3,5]=>[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,8,3,5]
[8,7,6,3,2,1,4,5]=>[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]
[8,7,6,2,1,3,4,5]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[1,2,6,7,8,3,4,5]
[8,7,6,1,2,3,4,5]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]
[8,6,7,1,2,3,4,5]=>[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]
[7,8,5,4,3,2,1,6]=>[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]
[8,7,4,3,2,1,5,6]=>[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,8,5,6]
[8,7,4,1,2,3,5,6]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[1,4,7,8,2,3,5,6]
[8,7,3,2,1,4,5,6]=>[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]
[7,8,3,2,1,4,5,6]=>[4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]
[8,7,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]
[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]
[8,6,5,4,3,2,1,7]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[8,6,5,4,3,1,2,7]=>[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]
[8,5,6,3,4,1,2,7]=>[2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]
[8,5,6,2,1,3,4,7]=>[3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]
[8,4,3,2,1,5,6,7]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]
[8,4,1,2,3,5,6,7]=>[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>[1,4,8,2,3,5,6,7]
[8,3,2,1,4,5,6,7]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]
[8,2,3,1,4,5,6,7]=>[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]
[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]
[6,5,7,4,3,2,1,8]=>[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]
[5,6,7,4,3,2,1,8]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]
[5,6,7,3,4,2,1,8]=>[4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]
[6,7,4,5,2,3,1,8]=>[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]
[5,6,7,3,2,4,1,8]=>[4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]
[5,6,3,4,2,7,1,8]=>[7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]
[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]
[7,6,5,4,3,1,2,8]=>[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]
[7,5,6,1,2,3,4,8]=>[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]
[7,4,3,2,1,5,6,8]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6,8]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]
[5,4,3,6,1,2,7,8]=>[2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]
[4,5,6,1,2,3,7,8]=>[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]
[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]
[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[3,2,4,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]
[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]
[3,4,1,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]
[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]
[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[5,8,7,6,4,3,2,1]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]
[4,8,7,6,5,3,2,1]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]
[4,7,6,5,8,3,2,1]=>[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]
[3,5,8,7,6,4,2,1]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>[1,2,4,6,7,8,3,5]
[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]
[2,7,8,6,5,4,3,1]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]
[2,7,6,5,4,8,3,1]=>[8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]
[4,3,2,8,7,6,5,1]=>[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]
[3,4,2,8,7,6,5,1]=>[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]
[2,3,4,8,7,6,5,1]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]
[5,4,3,2,8,7,6,1]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]
[2,3,4,5,6,8,7,1]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]
[4,3,6,5,7,2,8,1]=>[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]
[3,2,6,5,7,4,8,1]=>[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]
[4,3,2,7,6,5,8,1]=>[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]
[3,4,2,7,6,5,8,1]=>[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]
[3,4,2,6,7,5,8,1]=>[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[1,8,2,4,3,5,7,6]
[2,4,3,7,6,5,8,1]=>[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]
[3,2,4,7,6,5,8,1]=>[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]
[2,3,4,7,6,5,8,1]=>[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]
[4,3,5,2,7,6,8,1]=>[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]
[3,2,5,4,7,6,8,1]=>[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]
[3,2,4,5,7,6,8,1]=>[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]
[2,4,3,6,5,7,8,1]=>[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]
[2,5,4,3,6,7,8,1]=>[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]
[1,7,6,8,5,4,3,2]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]
[1,5,8,7,6,4,3,2]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]
[1,5,6,7,8,4,3,2]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]
[1,3,5,6,7,8,4,2]=>[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]
[1,4,3,8,7,6,5,2]=>[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]
[1,3,4,8,7,6,5,2]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]
[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]
[2,1,6,5,8,7,4,3]=>[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]
[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]
[2,1,4,5,8,7,6,3]=>[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]
[2,1,6,5,7,4,8,3]=>[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]
[2,1,5,4,7,6,8,3]=>[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]
[2,1,4,5,6,7,8,3]=>[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]
[1,2,6,7,8,5,4,3]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]
[1,2,5,6,7,8,4,3]=>[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]
[1,2,4,8,7,6,5,3]=>[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]
[1,2,4,6,7,8,5,3]=>[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]
[1,2,4,5,6,7,8,3]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]
[3,2,1,7,6,8,5,4]=>[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]
[3,2,1,5,6,8,7,4]=>[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]
[2,3,1,8,7,6,5,4]=>[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]
[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]
[1,2,3,7,8,6,5,4]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]
[1,2,3,6,7,8,5,4]=>[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]
[1,2,3,5,7,8,6,4]=>[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]
[1,2,3,6,7,5,8,4]=>[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]
[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]
[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]
[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[3,4,2,1,8,7,6,5]=>[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]
[3,4,2,1,7,8,6,5]=>[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]
[3,4,2,1,7,6,8,5]=>[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]
[2,4,3,1,8,7,6,5]=>[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]
[2,4,3,1,6,8,7,5]=>[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]
[3,2,4,1,8,7,6,5]=>[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]
[3,2,4,1,7,8,6,5]=>[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]
[3,2,4,1,7,6,8,5]=>[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]
[2,3,4,1,8,7,6,5]=>[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]
[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]
[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]
[1,3,4,2,8,7,6,5]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]
[2,3,1,4,8,7,6,5]=>[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]
[4,5,3,2,1,8,7,6]=>[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]
[3,5,4,2,1,8,7,6]=>[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]
[4,3,5,2,1,8,7,6]=>[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]
[3,4,5,2,1,8,7,6]=>[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]
[2,5,4,3,1,8,7,6]=>[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]
[2,4,5,3,1,8,7,6]=>[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]
[3,2,5,4,1,8,7,6]=>[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]
[2,3,5,4,1,8,7,6]=>[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]
[4,3,2,5,1,8,7,6]=>[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]
[3,4,2,5,1,8,7,6]=>[5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]
[2,4,3,5,1,8,7,6]=>[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]
[3,2,4,5,1,8,7,6]=>[5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]
[2,3,4,5,1,8,7,6]=>[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]
[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]
[5,6,4,3,2,1,8,7]=>[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]
[4,5,6,3,2,1,8,7]=>[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]
[4,3,6,5,2,1,8,7]=>[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]
[2,3,6,5,4,1,8,7]=>[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>[1,4,5,6,2,3,7,8]
[4,3,5,2,6,1,8,7]=>[6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]
[3,2,5,4,6,1,8,7]=>[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]
[2,3,4,5,6,1,8,7]=>[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]
[2,1,5,6,4,3,8,7]=>[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]
[2,1,4,6,5,3,8,7]=>[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]
[2,1,5,4,6,3,8,7]=>[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]
[2,1,4,5,6,3,8,7]=>[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[3,4,2,1,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]
[2,4,3,1,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]
[3,2,4,1,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]
[2,3,4,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[4,7,6,5,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]
[3,2,7,6,5,4,1,8]=>[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]
[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]
[2,3,4,6,5,1,7,8]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]
[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]
[3,2,5,4,1,6,7,8]=>[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]
[1,3,8,5,4,6,7,2]=>[1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]
[1,8,4,7,6,5,3,2]=>[1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]
[2,1,6,4,5,3,8,7]=>[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]
[2,3,4,8,6,7,5,1]=>[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]
[2,3,7,4,5,6,8,1]=>[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]
[2,5,3,4,1,8,7,6]=>[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]
[3,2,1,8,5,7,6,4]=>[3,2,1,7,6,4,8,5]=>[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]
[3,2,4,1,8,6,7,5]=>[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]
[4,2,3,1,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]
[4,2,3,1,7,6,8,5]=>[3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]
[4,2,3,1,8,6,7,5]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]
[4,2,3,1,8,7,6,5]=>[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]
[4,2,3,5,1,8,7,6]=>[5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]
[4,2,3,7,5,6,8,1]=>[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>[1,8,2,4,3,5,7,6]
[4,2,3,7,6,5,8,1]=>[8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]
[5,2,4,3,1,7,6,8]=>[4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]
[4,3,2,7,5,6,8,1]=>[8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]
[7,3,6,5,4,2,1,8]=>[6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]
[8,7,3,5,4,6,2,1]=>[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]
[8,5,4,3,2,7,6,1]=>[7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]
[8,7,4,3,6,5,2,1]=>[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]
[2,4,1,3,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]
[2,1,4,6,3,5,8,7]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]
[2,4,1,3,6,8,5,7]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]
[2,4,1,6,3,8,5,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]
[2,4,6,1,3,8,5,7]=>[3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]
[2,4,6,8,1,3,5,7]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]
[2,4,1,6,3,7,5,8]=>[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7,8]
[2,4,1,6,3,7,8,5]=>[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]
[2,4,6,7,1,8,3,5]=>[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]
[2,1,4,5,7,3,8,6]=>[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]
[2,4,1,3,8,5,6,7]=>[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]
[2,4,1,5,3,8,6,7]=>[5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]
[2,1,4,5,8,3,6,7]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]
[2,4,1,5,3,6,7,8]=>[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]
[2,1,5,3,6,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]
[2,5,6,8,1,3,4,7]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]
[2,1,5,3,7,4,8,6]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]
[2,5,1,7,3,4,8,6]=>[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]
[2,3,5,1,7,4,8,6]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]
[2,3,5,6,7,8,1,4]=>[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]
[2,6,1,3,7,4,8,5]=>[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]
[2,1,6,3,7,8,4,5]=>[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]
[2,6,1,7,3,8,4,5]=>[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[1,6,2,3,7,4,8,5]
[2,6,7,8,1,3,4,5]=>[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]
[2,1,6,3,4,8,5,7]=>[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]
[2,3,1,6,4,8,5,7]=>[3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]
[2,1,6,3,4,5,8,7]=>[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]
[2,3,6,1,4,5,8,7]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]
[2,3,4,6,1,7,5,8]=>[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]
[2,3,4,6,7,8,1,5]=>[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]
[2,3,7,1,4,8,5,6]=>[4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]
[2,3,4,7,1,8,5,6]=>[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]
[2,3,4,5,7,1,8,6]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]
[2,3,4,5,7,8,1,6]=>[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]
[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]
[2,8,1,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]
[2,1,3,4,8,5,6,7]=>[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]
[2,3,1,4,8,5,6,7]=>[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]
[2,3,4,1,8,5,6,7]=>[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]
[2,3,4,8,1,5,6,7]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]
[2,3,4,5,8,1,6,7]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]
[2,3,4,5,6,8,1,7]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]
[3,4,6,7,1,8,2,5]=>[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]
[3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]
[3,4,7,8,1,2,5,6]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]
[3,4,1,2,8,5,6,7]=>[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]
[3,1,4,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]
[3,1,5,2,6,4,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]
[3,1,5,6,2,8,4,7]=>[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]
[3,1,5,2,7,4,8,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]
[3,1,5,7,2,4,8,6]=>[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]
[3,1,5,7,2,8,4,6]=>[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]
[3,5,1,7,2,8,4,6]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]
[3,5,7,8,1,2,4,6]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]
[3,1,5,2,7,4,6,8]=>[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]
[1,3,5,2,7,4,8,6]=>[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[1,2,5,3,4,7,6,8]
[3,1,6,2,7,4,8,5]=>[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]
[3,6,1,7,2,4,8,5]=>[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]
[3,6,1,7,2,8,4,5]=>[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[1,6,2,7,3,4,8,5]
[3,1,6,2,7,4,5,8]=>[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]
[3,1,6,2,4,5,8,7]=>[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]
[3,7,1,2,4,5,6,8]=>[2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]
[3,1,8,2,4,5,6,7]=>[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]
[3,1,2,4,8,5,6,7]=>[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]
[1,3,4,2,8,5,6,7]=>[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>[1,2,4,3,5,8,6,7]
[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]
[4,5,1,2,6,3,8,7]=>[2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]=>[1,5,2,3,6,4,7,8]
[4,1,5,2,6,8,3,7]=>[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]
[4,5,1,6,2,8,3,7]=>[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]
[4,5,1,6,2,7,3,8]=>[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]
[4,1,5,2,7,3,8,6]=>[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]
[4,5,1,7,2,3,8,6]=>[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]
[4,1,5,2,7,8,3,6]=>[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]
[4,1,5,7,2,8,3,6]=>[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]
[4,5,1,7,2,8,3,6]=>[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]
[1,4,2,5,7,3,8,6]=>[1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]
[1,4,5,2,7,3,8,6]=>[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]
[1,4,5,6,7,2,3,8]=>[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]
[4,1,6,2,7,3,8,5]=>[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]
[4,6,7,8,1,2,3,5]=>[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]
[4,1,6,2,3,7,8,5]=>[3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]=>[1,4,2,6,3,5,8,7]
[1,4,6,2,7,3,8,5]=>[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>[1,2,6,3,7,4,5,8]
[4,6,1,8,2,3,5,7]=>[3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]
[4,1,2,6,3,8,5,7]=>[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]
[1,4,2,6,3,8,5,7]=>[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]
[4,1,2,3,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]
[4,6,1,2,3,5,7,8]=>[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]
[4,1,2,3,6,7,8,5]=>[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]
[4,1,7,2,8,3,5,6]=>[5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]
[4,1,2,3,7,8,5,6]=>[2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]
[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]
[4,8,1,2,3,5,6,7]=>[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]
[1,4,2,8,3,5,6,7]=>[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]
[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]
[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[1,2,4,3,5,8,6,7]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]
[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]
[5,1,6,2,7,3,8,4]=>[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]
[1,2,5,3,6,4,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]
[5,1,7,2,8,3,4,6]=>[4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]
[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>[1,2,5,3,4,6,8,7]
[6,7,1,8,2,3,4,5]=>[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]
[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]
[6,1,2,3,4,5,8,7]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]
[7,1,2,3,4,5,8,6]=>[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]
[1,2,7,3,4,5,8,6]=>[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[7,4,5,2,3,8,1,6]=>[6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]=>[1,8,2,5,3,4,7,6]
[6,4,5,2,3,1,8,7]=>[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]
[7,5,4,3,2,8,1,6]=>[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]
[8,6,4,3,7,2,5,1]=>[5,1,7,2,8,6,4,3]=>[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]
[7,6,4,3,8,2,1,5]=>[5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]=>[1,2,8,3,4,6,7,5]
[3,7,1,5,4,8,2,6]=>[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]
[4,8,5,1,3,7,6,2]=>[7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]=>[1,5,8,2,6,7,3,4]
[2,1,8,6,7,4,5,3]=>[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]
[7,3,2,6,8,4,1,5]=>[5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]=>[1,4,8,2,3,7,5,6]
[5,3,2,7,1,8,4,6]=>[6,8,4,7,1,5,3,2]=>[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[3,4,1,2,8,7,6,5]=>[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]
[6,3,2,8,7,1,5,4]=>[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]=>[1,7,8,2,3,6,4,5]
[8,4,7,2,6,5,3,1]=>[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]
[7,4,8,2,6,5,1,3]=>[3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]
[5,4,8,2,1,7,6,3]=>[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]
[3,5,1,8,2,7,6,4]=>[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]
[6,5,8,7,2,1,4,3]=>[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]
[2,1,7,8,6,5,3,4]=>[2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]
[3,8,1,7,6,5,4,2]=>[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]
[4,8,7,1,6,5,3,2]=>[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]=>[1,7,8,2,3,5,6,4]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]
[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]
[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]
[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[7,3,5,1,2,4,6,8]=>[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6,8]
[8,3,7,1,2,4,5,6]=>[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]
[5,2,6,7,1,3,4,8]=>[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]
[5,3,6,7,1,2,4,8]=>[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]
[6,2,4,8,1,3,5,7]=>[3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]
[8,2,4,6,1,3,5,7]=>[3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]
[8,3,5,7,1,2,4,6]=>[2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]
[4,7,3,6,1,2,5,8]=>[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5,8]
[4,8,2,6,1,3,5,7]=>[3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]
[3,8,2,7,1,4,5,6]=>[4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]
[5,8,2,7,1,3,4,6]=>[3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]
[5,8,3,7,1,2,4,6]=>[2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]
[7,8,4,6,1,2,3,5]=>[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]
[4,3,2,6,1,5,7,8]=>[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]
[7,4,2,6,1,3,5,8]=>[3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5,8]
[4,3,2,8,1,5,6,7]=>[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]
[5,3,2,8,1,4,6,7]=>[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]
[6,5,2,8,1,3,4,7]=>[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]=>[1,8,2,5,6,3,4,7]
[7,4,3,8,1,2,5,6]=>[2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]
[8,4,2,6,1,3,5,7]=>[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]
[5,6,2,4,8,1,3,7]=>[3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]
[4,7,3,5,8,1,2,6]=>[2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]
[7,8,2,4,6,1,3,5]=>[3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]
[8,7,2,4,6,1,3,5]=>[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]=>[1,6,2,7,8,3,4,5]
[6,3,7,2,5,1,4,8]=>[4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]
[6,4,8,2,7,1,3,5]=>[3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]=>[1,7,2,8,3,4,6,5]
[6,5,8,2,7,1,3,4]=>[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]
[8,3,7,2,6,1,4,5]=>[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]
[8,4,7,2,6,1,3,5]=>[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>[1,6,2,7,3,4,8,5]
[7,5,3,2,6,1,4,8]=>[4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4,8]
[5,4,3,2,8,1,6,7]=>[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]
[8,5,3,2,7,1,4,6]=>[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]
[8,7,4,3,6,1,2,5]=>[2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]=>[1,6,2,3,4,7,8,5]
[8,7,5,2,6,1,3,4]=>[3,4,6,1,8,7,5,2]=>[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]
[5,8,4,7,2,6,1,3]=>[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[1,6,2,7,3,4,8,5]
[6,8,3,7,2,5,1,4]=>[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]
[6,8,4,7,2,5,1,3]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]
[7,8,3,6,2,5,1,4]=>[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]
[7,6,4,8,2,5,1,3]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]
[8,6,4,7,2,5,1,3]=>[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]
[6,5,4,3,2,8,1,7]=>[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]
[8,7,6,5,2,4,1,3]=>[3,4,1,8,7,6,5,2]=>[2,5,6,7,8,1,4,3]=>[1,4,2,5,6,7,8,3]
[8,1,2,3,7,4,5,6]=>[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]
[4,1,2,8,7,3,5,6]=>[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]
[8,1,2,5,6,7,3,4]=>[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]
[3,1,7,2,6,4,8,5]=>[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]
[8,1,4,2,3,7,5,6]=>[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[1,8,2,4,3,5,7,6]
[6,1,5,2,3,8,4,7]=>[3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]=>[1,6,2,5,3,4,8,7]
[5,1,4,2,7,3,8,6]=>[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]
[7,1,4,2,6,3,8,5]=>[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]
[7,1,5,2,6,3,8,4]=>[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]
[7,1,8,5,2,3,4,6]=>[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[1,7,2,5,8,3,4,6]
[3,1,7,5,6,2,8,4]=>[8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]
[8,1,4,7,6,2,3,5]=>[3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]=>[1,8,2,6,7,3,4,5]
[7,1,4,5,6,2,8,3]=>[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]
[2,4,1,8,6,3,5,7]=>[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]
[5,8,1,2,3,7,4,6]=>[2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]
[5,8,1,2,7,3,4,6]=>[2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]
[8,3,1,6,2,7,4,5]=>[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>[1,3,8,2,6,4,7,5]
[8,4,1,6,2,3,5,7]=>[3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]=>[1,4,8,2,6,3,5,7]
[4,3,1,7,6,2,8,5]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]
[7,3,1,5,6,2,8,4]=>[8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>[1,3,7,2,6,4,8,5]
[4,3,1,5,6,8,2,7]=>[7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>[1,3,4,2,8,5,6,7]
[2,6,4,1,3,8,5,7]=>[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]=>[1,4,6,2,3,5,8,7]
[2,8,4,1,7,3,5,6]=>[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]=>[1,4,8,2,3,7,5,6]
[2,8,5,1,7,3,4,6]=>[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]
[8,3,5,1,2,7,4,6]=>[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]
[8,5,4,1,6,2,3,7]=>[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]
[7,8,4,1,6,2,3,5]=>[3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]=>[1,4,8,2,6,3,5,7]
[5,3,4,1,6,8,2,7]=>[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]
[2,3,4,8,1,7,5,6]=>[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]
[2,3,7,6,1,4,8,5]=>[4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]
[2,8,4,6,1,3,5,7]=>[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]
[2,3,4,8,6,1,5,7]=>[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]
[2,3,4,8,7,1,5,6]=>[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]
[2,3,4,7,6,1,8,5]=>[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]
[2,3,8,7,6,1,4,5]=>[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]
[2,3,7,5,6,1,8,4]=>[8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]
[2,8,4,5,7,1,3,6]=>[3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]
[2,8,7,5,6,1,3,4]=>[3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]
[2,3,4,5,8,7,1,6]=>[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]
[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]
[8,1,2,3,4,5,6,9,7]=>[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]=>[1,8,2,3,4,5,6,7,9]
[2,4,1,6,3,8,5,9,7]=>[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]
[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]
[3,5,2,6,4,1,8,7]=>[6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]=>[1,4,6,2,5,3,7,8]
[3,5,2,7,4,8,1,6]=>[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]
[4,5,6,2,3,1,8,7]=>[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]
[4,5,6,1,3,2,8,7]=>[3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]
[4,5,6,3,1,2,8,7]=>[2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]
[4,6,7,3,8,2,5,1]=>[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]
[3,5,1,7,4,8,2,6]=>[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[1,5,2,8,3,4,7,6]
[2,1,5,7,4,8,6,3]=>[2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]=>[1,2,3,6,8,4,7,5]
[3,6,1,7,8,4,2,5]=>[5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]
[4,6,7,2,8,3,1,5]=>[5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]=>[1,3,8,2,7,4,5,6]
[3,5,2,7,1,8,4,6]=>[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]
[3,5,2,7,1,8,6,4]=>[8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]
[4,5,7,2,1,8,6,3]=>[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]
[3,5,1,7,2,8,6,4]=>[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]
[3,6,1,7,8,2,5,4]=>[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]
[4,6,7,1,8,5,3,2]=>[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]
[6,3,8,4,5,7,1,2]=>[2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]=>[1,7,2,3,6,4,8,5]
[7,8,2,4,5,1,6,3]=>[6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]
[4,5,2,7,8,1,6,3]=>[6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]
[6,5,8,7,1,2,3,4]=>[2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]
[7,8,3,1,2,6,4,5]=>[2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]=>[1,3,8,2,4,6,5,7]
[4,3,1,2,8,7,5,6]=>[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]
[4,3,1,2,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]
[5,3,1,6,2,4,8,7]=>[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]
[6,3,1,5,2,4,8,7]=>[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>[1,3,6,2,5,4,7,8]
[2,1,6,5,3,4,8,7]=>[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]
[8,6,4,1,7,2,3,5]=>[3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]=>[1,4,6,8,2,7,3,5]
[7,6,4,1,8,2,3,5]=>[3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]
[3,7,1,5,2,8,4,6]=>[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]
[2,1,8,5,3,7,4,6]=>[2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]
[3,8,1,5,2,7,4,6]=>[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]
[5,7,6,8,1,2,3,4]=>[2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]
[5,3,1,7,2,8,4,6]=>[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]
[6,3,1,8,7,2,4,5]=>[4,5,8,7,2,6,3,1]=>[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,8,4,5]
[8,4,7,1,6,2,3,5]=>[3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]=>[1,7,2,6,3,4,8,5]
[3,5,1,8,2,7,4,6]=>[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]
[2,1,8,7,6,3,4,5]=>[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]
[5,8,7,6,1,2,3,4]=>[2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]
[6,4,7,3,5,8,1,2]=>[2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]=>[1,8,2,3,7,4,6,5]
[5,4,3,6,8,7,1,2]=>[2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]
[5,3,2,6,1,8,7,4]=>[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]
[5,3,2,7,1,4,8,6]=>[4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]
[5,4,2,8,7,1,3,6]=>[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]=>[1,7,8,2,4,5,3,6]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[7,8,3,2,1,4,6,5]=>[4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]
[7,8,1,4,6,2,5,3]=>[5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]
[7,8,2,3,1,6,5,4]=>[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]
[5,2,1,8,3,7,6,4]=>[7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]
[6,2,8,1,3,7,5,4]=>[3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]
[6,2,8,4,7,1,5,3]=>[5,3,7,1,8,4,6,2]=>[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]
[4,2,1,3,8,7,6,5]=>[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]
[4,1,2,3,8,7,6,5]=>[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]
[1,4,2,3,8,7,6,5]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]
[4,1,3,2,8,7,6,5]=>[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]
[4,3,1,2,8,7,6,5]=>[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]
[5,1,3,8,2,7,6,4]=>[7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]
[5,6,8,7,2,1,4,3]=>[4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]
[4,5,1,8,7,2,6,3]=>[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>[1,5,2,7,8,3,6,4]
[4,1,5,8,7,2,6,3]=>[6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]
[3,6,8,1,2,7,5,4]=>[2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]
[3,6,8,2,1,7,5,4]=>[7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]=>[1,2,8,3,4,5,7,6]
[4,6,8,3,7,5,1,2]=>[2,7,5,1,8,3,4,6]=>[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]
[3,5,2,8,1,7,6,4]=>[7,6,4,8,1,5,2,3]=>[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]
[3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]
[3,1,2,4,8,7,6,5]=>[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]
[4,3,5,8,7,6,1,2]=>[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]
[2,3,5,8,1,7,6,4]=>[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>[1,8,2,3,4,6,7,5]
[4,1,3,2,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]
[6,1,3,2,5,4,8,7]=>[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]
[8,1,3,2,5,4,7,6]=>[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]
[2,1,6,3,5,4,8,7]=>[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]
[6,2,5,1,4,3,8,7]=>[4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]=>[1,5,2,6,3,4,7,8]
[5,2,6,1,4,3,8,7]=>[4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]
[5,2,8,1,4,3,7,6]=>[4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]
[6,2,8,1,4,3,7,5]=>[4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]
[4,1,7,2,5,3,8,6]=>[5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]
[2,1,8,3,5,4,7,6]=>[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]
[4,1,8,2,5,3,7,6]=>[5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]
[8,2,5,1,4,3,7,6]=>[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>[1,5,2,8,3,4,6,7]
[5,1,8,2,6,3,7,4]=>[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]
[4,1,8,2,6,3,7,5]=>[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]
[3,1,8,2,6,4,7,5]=>[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]
[4,1,7,2,6,3,8,5]=>[8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]
[5,1,7,2,6,3,8,4]=>[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]
[8,1,5,2,6,3,7,4]=>[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]
[6,1,5,2,7,3,8,4]=>[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]
[6,1,4,2,7,3,8,5]=>[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]
[8,1,4,2,6,3,7,5]=>[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]
[6,1,3,2,7,4,8,5]=>[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>[1,6,2,3,4,7,5,8]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]
[4,1,3,2,8,5,7,6]=>[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]
[8,4,7,1,3,2,6,5]=>[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>[1,7,2,3,4,8,5,6]
[7,4,8,1,3,2,6,5]=>[3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]
[7,3,8,1,4,2,6,5]=>[4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]
[8,3,7,1,4,2,6,5]=>[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>[1,7,2,4,3,8,5,6]
[6,1,4,2,8,3,7,5]=>[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]
[5,1,4,2,8,3,7,6]=>[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]
[4,1,5,2,8,3,7,6]=>[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]
[3,1,5,2,8,4,7,6]=>[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]
[2,1,6,3,8,4,7,5]=>[2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]
[3,1,6,2,8,4,7,5]=>[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]
[4,1,6,2,8,3,7,5]=>[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]
[5,1,6,2,8,3,7,4]=>[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]
[6,1,5,2,8,3,7,4]=>[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]
[8,3,7,2,6,1,5,4]=>[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>[1,6,2,7,3,8,4,5]
[2,1,8,4,7,3,6,5]=>[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>[1,2,3,7,4,8,5,6]
[2,1,7,4,8,3,6,5]=>[2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]
[7,2,6,3,8,1,5,4]=>[5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]
[5,3,6,2,4,8,1,7]=>[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]
[7,4,2,5,8,3,1,6]=>[6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]
[4,5,2,6,3,8,1,7]=>[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]
[3,5,6,1,4,8,2,7]=>[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]
[4,5,1,6,3,8,2,7]=>[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]
[7,4,5,3,8,2,6,1]=>[6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]
[4,7,1,5,8,3,2,6]=>[6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]
[5,3,7,8,1,4,2,6]=>[4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]
[7,4,1,5,8,3,6,2]=>[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]=>[1,4,7,2,6,3,8,5]
[5,6,7,3,8,4,2,1]=>[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]
[6,1,7,4,2,8,3,5]=>[5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]
[4,7,1,5,2,8,3,6]=>[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]
[3,6,7,2,8,4,1,5]=>[5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]=>[1,4,8,2,7,3,5,6]
[3,6,7,2,1,8,4,5]=>[5,8,4,7,2,1,3,6]=>[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]
[3,7,8,1,4,6,2,5]=>[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]
[3,6,7,2,8,5,1,4]=>[4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]
[4,6,7,8,1,5,3,2]=>[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]
[8,5,3,6,2,4,1,7]=>[4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]=>[1,4,2,6,3,5,8,7]
[8,2,4,5,6,3,1,7]=>[6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]=>[1,3,6,2,8,4,5,7]
[8,1,2,4,5,6,3,7]=>[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]
[8,5,3,6,4,1,2,7]=>[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>[1,4,6,2,3,5,8,7]
[4,5,3,7,1,8,2,6]=>[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]
[7,5,3,8,4,1,6,2]=>[6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]=>[1,4,8,2,6,3,5,7]
[6,4,7,8,3,5,2,1]=>[5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]
[3,6,2,7,4,8,1,5]=>[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]
[3,7,4,2,1,5,8,6]=>[5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]
[7,8,3,4,2,1,6,5]=>[4,2,1,6,5,8,3,7]=>[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]
[3,6,2,7,1,8,5,4]=>[8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]
[6,7,3,8,2,5,4,1]=>[5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]=>[1,4,5,2,8,3,7,6]
[7,5,3,8,6,1,2,4]=>[2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]
[7,5,8,2,1,6,3,4]=>[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]
[4,7,2,6,5,3,1,8]=>[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]
[7,1,5,4,8,2,6,3]=>[6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]
[7,1,6,8,4,2,5,3]=>[5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]=>[1,7,2,4,8,3,5,6]
[6,1,7,8,2,4,5,3]=>[5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]
[3,2,1,7,8,5,6,4]=>[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]
[4,8,2,7,1,5,3,6]=>[5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]
[6,8,7,1,2,4,3,5]=>[2,4,3,5,8,7,1,6]=>[6,1,7,8,5,3,4,2]=>[1,7,8,2,3,4,5,6]
[4,7,2,8,1,3,5,6]=>[3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]
[3,2,6,8,4,1,5,7]=>[5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]
[4,6,2,8,3,1,5,7]=>[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]
[6,5,8,3,2,1,4,7]=>[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]
[6,4,3,8,2,1,5,7]=>[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>[1,2,8,3,4,6,5,7]
[4,5,2,3,8,1,6,7]=>[6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]
[3,2,5,4,8,1,6,7]=>[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]
[4,5,2,3,1,8,7,6]=>[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]
[3,2,7,1,8,4,6,5]=>[6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]
[5,7,1,2,8,3,6,4]=>[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]
[8,6,1,7,3,5,2,4]=>[4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>[1,6,8,2,5,3,7,4]
[4,1,2,8,7,6,5,3]=>[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]
[5,1,8,2,7,6,4,3]=>[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]
[3,1,5,2,4,8,7,6]=>[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]
[5,4,1,2,3,8,7,6]=>[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]
[5,4,1,2,7,3,6,8]=>[2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]
[7,5,1,2,8,3,6,4]=>[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]
[8,5,1,2,7,3,6,4]=>[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]
[7,4,1,6,2,3,5,8]=>[3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5,8]
[4,7,1,2,8,3,6,5]=>[2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]
[3,1,7,2,8,4,6,5]=>[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]
[3,1,8,2,7,4,6,5]=>[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]
[4,7,1,6,2,3,5,8]=>[3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]
[4,8,1,6,2,3,5,7]=>[3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]
[7,8,1,6,2,3,5,4]=>[3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]
[1,8,7,6,3,4,5,2]=>[1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]
[4,3,5,1,6,2,8,7]=>[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>[1,5,2,6,3,4,7,8]
[4,3,5,1,7,6,8,2]=>[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]
[4,2,5,1,7,3,8,6]=>[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]
[4,2,6,1,7,3,8,5]=>[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]
[3,2,6,1,7,4,8,5]=>[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]
[3,2,5,1,7,4,8,6]=>[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]
[3,2,6,5,7,1,8,4]=>[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>[1,7,2,3,4,8,5,6]
[4,2,6,5,7,1,8,3]=>[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]
[5,2,6,4,7,1,8,3]=>[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]
[5,4,6,2,7,3,8,1]=>[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]
[5,4,6,1,7,2,8,3]=>[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]
[5,1,6,4,7,2,8,3]=>[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]
[2,1,6,5,7,3,8,4]=>[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]
[8,6,1,4,5,3,2,7]=>[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]
[4,6,3,8,7,1,5,2]=>[5,2,8,7,1,6,3,4]=>[4,3,6,1,7,8,2,5]=>[1,7,8,2,5,3,6,4]
[8,2,6,1,4,7,5,3]=>[7,5,3,4,6,1,8,2]=>[2,8,1,6,4,3,5,7]=>[1,6,2,8,3,5,7,4]
[3,7,1,6,4,8,2,5]=>[5,8,2,6,4,7,1,3]=>[3,1,7,4,6,2,8,5]=>[1,7,2,8,3,4,6,5]
[3,8,2,4,6,7,5,1]=>[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]
[4,7,3,2,1,5,8,6]=>[5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]
[8,5,7,3,2,1,6,4]=>[6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]
[8,3,6,7,2,1,5,4]=>[5,4,7,2,1,6,8,3]=>[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]
[2,7,4,8,1,6,5,3]=>[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]
[8,4,1,5,7,2,6,3]=>[6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]=>[1,4,8,2,7,3,6,5]
[5,4,3,6,1,2,8,7]=>[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]
[3,1,6,4,5,2,8,7]=>[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]
[8,3,7,4,5,1,2,6]=>[2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]
[5,6,3,8,1,7,2,4]=>[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]
[8,5,7,4,1,6,3,2]=>[6,3,2,7,4,1,8,5]=>[5,8,1,4,7,2,3,6]=>[1,4,7,2,3,6,5,8]
[6,5,3,8,4,1,7,2]=>[7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]
[8,1,2,3,5,6,7,4]=>[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]
[5,6,3,8,4,2,7,1]=>[7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]=>[1,7,2,4,8,3,6,5]
[8,6,3,1,4,2,7,5]=>[4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]=>[1,3,6,8,2,4,5,7]
[5,8,2,4,7,6,1,3]=>[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[1,6,7,2,8,3,4,5]
[2,1,7,6,5,8,3,4]=>[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]
[7,5,2,4,8,6,1,3]=>[3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]=>[1,6,8,2,5,7,3,4]
[2,1,5,3,8,6,7,4]=>[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]
[6,5,3,7,2,8,4,1]=>[8,4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]
[3,2,5,1,6,8,4,7]=>[7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]
[5,4,2,1,6,8,3,7]=>[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]
[6,3,5,1,4,8,2,7]=>[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]
[4,6,1,5,3,8,2,7]=>[7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]
[2,8,5,7,4,6,1,3]=>[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]
[6,2,8,7,4,5,1,3]=>[3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]
[2,4,8,6,3,7,5,1]=>[7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]=>[1,5,7,2,3,6,8,4]
[3,8,6,2,4,7,5,1]=>[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>[1,5,7,2,6,8,3,4]
[4,2,6,8,1,7,5,3]=>[7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>[1,8,2,4,3,5,7,6]
[5,8,7,2,6,1,3,4]=>[3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]=>[1,6,2,7,8,3,4,5]
[5,1,6,8,2,7,4,3]=>[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[1,5,2,8,3,4,7,6]
[6,2,8,7,5,4,3,1]=>[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]
[6,1,7,2,8,5,4,3]=>[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]
[7,5,1,8,2,6,4,3]=>[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]
[8,7,4,6,1,5,3,2]=>[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]
[6,8,1,7,5,4,3,2]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]
[7,1,8,6,5,4,3,2]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]
[7,4,2,6,3,5,1,8]=>[5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6,8]
[1,7,5,2,8,3,4,6]=>[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]
[4,8,2,6,3,1,5,7]=>[5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]
[3,2,1,6,4,8,5,7]=>[3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]
[1,8,5,2,7,3,4,6]=>[1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]
[5,8,7,2,1,3,4,6]=>[3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]
[6,5,8,2,3,1,4,7]=>[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]
[6,4,2,8,3,1,5,7]=>[5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]
[5,4,2,3,8,1,6,7]=>[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>[1,8,2,4,5,3,6,7]
[8,4,2,1,7,3,5,6]=>[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>[1,2,4,8,3,7,5,6]
[1,5,8,2,7,3,4,6]=>[1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]
[8,5,1,2,7,3,4,6]=>[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]
[7,5,1,2,8,3,4,6]=>[2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]
[4,6,2,1,3,8,5,7]=>[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]
[4,7,2,1,8,3,5,6]=>[5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]
[5,1,8,2,7,3,4,6]=>[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]
[8,3,7,5,2,1,4,6]=>[4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]=>[1,2,5,7,3,8,4,6]
[8,5,2,7,4,1,3,6]=>[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>[1,4,7,2,5,8,3,6]
[2,6,1,5,4,3,8,7]=>[5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]
[3,4,8,6,5,7,1,2]=>[2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]
[2,1,4,8,3,7,6,5]=>[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]
[8,3,1,2,5,7,6,4]=>[2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]=>[1,3,8,2,4,6,7,5]
[3,1,8,2,7,6,5,4]=>[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]
[4,3,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]
[8,3,6,1,4,2,7,5]=>[4,2,7,5,6,1,8,3]=>[3,8,1,6,5,7,2,4]=>[1,6,2,4,3,8,5,7]
[2,3,4,1,8,5,7,6]=>[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]
[4,1,3,2,6,7,8,5]=>[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]
[6,4,2,1,5,8,7,3]=>[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]=>[1,2,4,6,3,7,8,5]
[8,5,2,4,6,1,7,3]=>[7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]=>[1,6,2,5,8,3,7,4]
[4,5,2,6,3,1,8,7]=>[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]
[6,5,2,1,4,3,8,7]=>[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[1,2,5,6,3,4,7,8]
[5,6,3,2,4,1,8,7]=>[4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]
[5,1,7,3,8,4,6,2]=>[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]
[3,6,7,4,1,8,5,2]=>[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]
[5,6,3,7,4,8,1,2]=>[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>[1,8,2,3,6,4,7,5]
[2,1,6,7,4,8,5,3]=>[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]
[2,1,8,7,4,3,6,5]=>[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[1,2,3,4,7,8,5,6]
[5,8,3,7,4,2,6,1]=>[6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]
[2,8,4,1,6,3,7,5]=>[7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]=>[1,4,8,2,3,6,5,7]
[6,5,3,2,8,7,1,4]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[1,7,8,2,3,5,6,4]
[3,1,4,8,6,5,7,2]=>[7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]
[4,6,2,5,8,3,7,1]=>[7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]
[8,7,2,1,4,5,6,3]=>[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]=>[1,2,7,8,3,6,4,5]
[3,6,8,7,1,5,4,2]=>[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]
[2,1,7,8,5,4,6,3]=>[2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]
[2,3,8,1,4,6,7,5]=>[4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]
[7,4,3,8,2,5,1,6]=>[5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]=>[1,5,2,8,3,4,7,6]
[3,8,2,1,4,6,5,7]=>[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]
[2,8,7,6,1,4,3,5]=>[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]
[7,5,8,6,1,4,2,3]=>[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]
[2,8,7,6,1,4,5,3]=>[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>[1,6,7,8,2,3,5,4]
[4,1,2,3,7,6,8,5]=>[2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]
[7,1,6,8,4,3,5,2]=>[5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]=>[1,7,2,5,3,4,8,6]
[6,5,8,2,4,3,7,1]=>[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]
[6,5,2,7,3,4,1,8]=>[4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7,8]
[4,5,2,7,3,8,1,6]=>[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]
[3,6,5,2,8,1,7,4]=>[7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]=>[1,8,2,5,6,3,4,7]
[4,1,2,3,7,8,6,5]=>[2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]=>[1,4,2,3,5,6,8,7]
[4,5,2,7,3,8,6,1]=>[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]
[7,8,3,5,4,2,1,6]=>[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]
[7,8,1,6,5,4,3,2]=>[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]
[6,4,3,7,5,8,1,2]=>[2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]
[3,7,2,8,6,4,1,5]=>[5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]=>[1,4,6,8,2,7,3,5]
[6,2,4,1,8,3,7,5]=>[7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]=>[1,4,2,6,3,8,5,7]
[5,8,7,6,2,3,1,4]=>[3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]=>[1,3,2,6,7,8,4,5]
[2,1,8,7,6,5,3,4]=>[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]
[3,1,4,7,8,2,6,5]=>[6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]
[4,8,1,2,5,3,7,6]=>[2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]
[5,3,7,8,2,1,6,4]=>[6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]
[3,8,7,6,5,4,1,2]=>[2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]
[2,8,1,6,4,5,3,7]=>[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[1,8,2,3,5,4,6,7]
[2,8,7,5,1,4,3,6]=>[4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]=>[1,5,7,8,2,3,4,6]
[2,7,8,6,5,4,1,3]=>[3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]=>[1,4,5,6,8,2,3,7]
[6,3,1,2,7,4,8,5]=>[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>[1,3,6,2,4,7,5,8]
[6,4,2,7,1,3,8,5]=>[3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]=>[1,7,2,4,6,3,5,8]
[4,3,7,1,2,5,8,6]=>[2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]
[3,6,2,7,1,4,8,5]=>[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]
[5,3,6,7,1,2,8,4]=>[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]
[7,6,4,2,3,8,1,5]=>[5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]=>[1,8,2,4,6,7,3,5]
[8,6,4,2,3,7,1,5]=>[5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]=>[1,7,2,4,6,8,3,5]
[3,7,6,1,4,8,2,5]=>[5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]=>[1,6,7,2,8,3,4,5]
[7,4,8,5,2,6,1,3]=>[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]
[3,8,6,2,4,7,1,5]=>[5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]=>[1,7,2,6,8,3,4,5]
[4,8,6,2,7,1,3,5]=>[3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]=>[1,7,2,6,8,3,4,5]
[2,5,7,4,8,1,3,6]=>[3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]
[4,6,3,7,1,8,2,5]=>[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]
[6,5,3,7,1,8,2,4]=>[4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]=>[1,7,2,8,3,5,6,4]
[5,3,6,4,7,8,1,2]=>[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]
[7,5,1,2,8,6,3,4]=>[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>[1,5,7,2,3,6,8,4]
[2,4,8,7,1,3,5,6]=>[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]
[5,8,7,1,6,2,3,4]=>[3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]=>[1,7,8,2,6,3,4,5]
[2,8,7,6,1,3,4,5]=>[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]
[2,7,8,4,1,6,5,3]=>[6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]=>[1,4,8,2,3,5,6,7]
[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]
[2,3,4,5,6,7,8,10,1,9]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]
[6,3,2,5,1,8,4,7]=>[7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]
[3,7,6,2,4,5,8,1]=>[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]=>[1,8,2,6,7,3,4,5]
[8,5,2,1,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]
[4,2,6,5,1,8,3,7]=>[7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]=>[1,5,6,2,4,3,8,7]
[5,4,8,6,2,7,1,3]=>[3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]=>[1,7,2,6,8,3,4,5]
[6,8,3,5,2,7,1,4]=>[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]
[7,8,5,2,3,6,1,4]=>[4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]
[2,8,1,7,3,4,5,6]=>[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]
[4,2,5,7,1,8,3,6]=>[6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]
[3,6,2,7,1,8,4,5]=>[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]
[3,2,1,5,8,4,6,7]=>[3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]
[4,3,5,1,6,8,2,7]=>[7,8,2,5,1,4,3,6]=>[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]
[7,6,8,2,3,5,1,4]=>[4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]
[2,3,8,7,1,4,5,6]=>[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]
[8,1,6,7,3,2,4,5]=>[4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]
[7,5,8,3,6,2,4,1]=>[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]
[8,1,4,3,2,7,6,5]=>[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]
[7,5,1,4,6,8,2,3]=>[3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]
[7,5,8,3,6,2,1,4]=>[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]
[6,4,3,8,2,5,1,7]=>[5,1,7,8,2,6,4,3]=>[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]
[6,5,4,1,7,8,2,3]=>[3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3]=>[1,4,5,6,2,8,3,7]
[6,5,3,1,7,2,8,4]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]
[7,5,1,4,8,6,2,3]=>[3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]=>[1,5,7,2,6,8,3,4]
[6,4,3,8,2,7,5,1]=>[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]
[6,5,3,1,7,2,4,8]=>[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]
[7,6,8,1,3,2,5,4]=>[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]
[6,5,3,7,8,2,4,1]=>[4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]
[6,4,3,7,2,8,5,1]=>[8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]
[7,4,8,3,2,1,5,6]=>[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]
[6,5,3,8,1,2,7,4]=>[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]
[5,4,3,2,8,1,7,6]=>[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]
[6,4,3,7,2,1,8,5]=>[8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]
[6,5,3,7,1,2,8,4]=>[2,8,4,7,1,6,5,3]=>[3,5,6,1,7,4,8,2]=>[1,7,2,3,5,6,4,8]
[6,5,2,1,8,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]
[1,8,2,4,3,5,6,7]=>[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]
[1,6,2,5,3,4,7,8]=>[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7,8]
[1,7,2,5,3,4,6,8]=>[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]
[1,5,2,8,3,6,4,7]=>[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]
[1,2,3,8,4,6,5,7]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[1,2,3,4,8,5,6,7]
[1,3,2,7,4,6,5,8]=>[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]
[1,7,2,6,3,5,4,8]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5,8]
[1,5,2,4,3,7,6,8]=>[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]
[1,7,2,4,3,6,5,8]=>[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]
[1,8,2,3,4,7,5,6]=>[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>[1,2,8,3,4,5,7,6]
[1,6,2,4,3,8,5,7]=>[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]
[1,8,2,5,3,7,4,6]=>[1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]
[1,7,2,8,3,6,4,5]=>[1,5,6,4,8,3,7,2]=>[2,7,3,8,4,6,5,1]=>[1,2,7,3,8,4,6,5]
[4,6,3,8,5,1,7,2]=>[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]
[4,6,2,7,5,3,1,8]=>[7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]
[5,6,8,4,3,1,7,2]=>[7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]=>[1,3,4,8,2,7,5,6]
[5,7,8,4,1,3,2,6]=>[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]
[5,7,8,4,1,2,3,6]=>[2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]
[6,7,8,1,5,3,2,4]=>[4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]
[6,7,8,1,3,5,2,4]=>[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]
[5,7,8,2,1,6,3,4]=>[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]
[4,7,2,8,1,6,3,5]=>[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]
[5,7,8,2,1,6,4,3]=>[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]
[6,7,8,1,3,5,4,2]=>[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>[1,8,2,4,5,3,6,7]
[6,7,8,1,5,4,3,2]=>[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]
[6,7,8,1,4,5,2,3]=>[3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]
[6,7,8,1,3,4,5,2]=>[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]
[4,6,2,8,3,1,7,5]=>[7,5,8,3,1,6,2,4]=>[4,2,6,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]
[5,6,8,3,2,1,7,4]=>[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]
[5,7,8,3,1,4,6,2]=>[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>[1,3,8,2,6,4,5,7]
[5,7,8,3,1,6,4,2]=>[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]=>[1,3,8,2,4,6,5,7]
[5,7,8,3,1,6,2,4]=>[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]
[4,7,3,8,1,6,5,2]=>[6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]
[4,6,3,8,2,1,7,5]=>[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]
[4,5,2,3,8,1,7,6]=>[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]
[3,2,5,4,8,1,7,6]=>[7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]
[4,5,3,2,8,1,6,7]=>[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]
[4,6,3,8,2,1,5,7]=>[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]
[4,7,3,8,1,2,6,5]=>[2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]=>[1,8,2,3,7,4,5,6]
[4,7,3,8,1,2,5,6]=>[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]
[5,6,8,3,2,1,4,7]=>[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]
[5,7,8,2,1,4,3,6]=>[4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]
[6,7,8,1,3,4,2,5]=>[4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]
[6,7,8,1,4,3,2,5]=>[4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]
[6,7,8,1,3,2,5,4]=>[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]
[4,3,7,5,1,2,8,6]=>[2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]
[5,2,1,8,7,6,3,4]=>[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]
[2,3,4,8,6,1,7,5]=>[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]
[2,3,4,8,6,5,1,7]=>[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]
[5,3,6,1,4,8,2,7]=>[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]
[7,3,5,6,8,4,2,1]=>[8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]=>[1,2,4,8,3,7,5,6]
[5,7,1,6,3,8,4,2]=>[8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]=>[1,7,2,4,8,3,6,5]
[7,3,4,1,2,6,5,8]=>[2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]
[7,4,3,2,1,6,5,8]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]
[7,3,5,1,6,2,4,8]=>[4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]
[7,2,1,6,5,4,3,8]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]
[1,8,6,4,3,7,2,5]=>[1,5,7,2,8,6,4,3]=>[3,4,6,8,2,7,5,1]=>[1,2,7,3,4,6,8,5]
[2,3,8,1,5,4,7,6]=>[5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]
[2,7,8,5,6,3,4,1]=>[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]
[2,6,8,5,7,3,1,4]=>[4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]
[3,2,1,8,6,7,4,5]=>[3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]
[4,6,5,7,8,2,1,3]=>[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]
[5,3,6,1,7,8,2,4]=>[4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]
[5,6,4,7,2,8,1,3]=>[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]
[6,4,3,2,1,7,8,5]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]
[5,2,1,4,3,8,7,6]=>[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]
[5,3,4,1,2,8,7,6]=>[2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]
[1,8,6,7,5,4,2,3]=>[1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]=>[1,2,4,5,7,3,6,8]
[2,5,8,7,6,1,4,3]=>[4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10,11,12]
[1,4,6,2,7,5,8,3]=>[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]
[7,5,6,1,8,3,4,2]=>[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[1,6,2,4,3,8,5,7]
[4,7,5,6,1,8,3,2]=>[8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]
[1,5,3,2,7,6,8,4]=>[1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]
[2,8,4,1,6,7,5,3]=>[7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]=>[1,4,8,2,3,5,7,6]
[4,6,1,2,7,5,8,3]=>[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]
[4,3,1,2,7,6,8,5]=>[2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]
[1,3,5,2,7,6,8,4]=>[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]
[8,2,6,4,7,1,5,3]=>[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]
[6,1,5,2,7,4,8,3]=>[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]
[8,2,6,5,7,1,4,3]=>[4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]
[2,4,1,3,7,6,8,5]=>[3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]
[6,7,1,3,5,8,2,4]=>[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]
[8,1,2,4,3,6,5,7]=>[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]
[8,1,3,4,2,6,7,5]=>[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[1,8,2,4,3,5,7,6]
[8,1,3,2,4,5,7,6]=>[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]
[6,3,2,1,4,5,8,7]=>[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]
[3,7,8,5,6,2,1,4]=>[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]
[6,2,4,1,3,7,5,8]=>[3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]
[2,6,4,8,3,7,5,1]=>[7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]
[6,2,5,1,7,3,4,8]=>[4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]
[2,4,6,7,3,8,5,1]=>[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]
[4,7,8,3,2,1,6,5]=>[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]
[4,3,6,7,2,1,8,5]=>[8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]
[4,7,1,8,6,5,2,3]=>[3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]=>[1,7,2,5,6,8,3,4]
[4,7,1,2,8,6,5,3]=>[2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]=>[1,7,2,3,5,6,8,4]
[7,8,1,6,3,5,2,4]=>[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]
[1,6,8,3,4,7,5,2]=>[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]
[6,2,4,8,1,7,5,3]=>[7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]
[8,5,7,2,1,6,3,4]=>[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]
[8,5,7,2,3,1,6,4]=>[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]
[1,8,7,3,5,4,6,2]=>[1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]
[8,2,5,4,7,1,6,3]=>[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]
[8,7,6,1,2,4,3,5]=>[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]
[5,8,4,7,2,1,6,3]=>[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]
[8,5,7,1,3,2,6,4]=>[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]
[5,8,4,1,7,2,6,3]=>[6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]=>[1,4,8,2,7,3,6,5]
[5,8,4,7,1,6,2,3]=>[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]
[4,8,5,7,1,6,2,3]=>[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]
[4,8,5,1,7,2,6,3]=>[6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]
[4,6,2,8,1,7,5,3]=>[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]=>[1,8,2,6,3,5,7,4]
[4,8,5,7,2,1,6,3]=>[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]
[8,5,2,3,7,1,6,4]=>[6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]=>[1,7,2,5,8,3,4,6]
[8,5,4,2,1,7,3,6]=>[6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]=>[1,2,4,5,8,3,7,6]
[6,5,4,2,3,1,8,7]=>[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]
[8,7,4,1,6,3,5,2]=>[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]=>[1,4,7,8,2,5,3,6]
[8,7,4,1,6,5,3,2]=>[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]=>[1,4,7,8,2,3,5,6]
[8,3,2,5,1,7,4,6]=>[6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]
[8,7,6,5,2,1,4,3]=>[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]
[8,3,2,7,6,4,1,5]=>[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]
[2,1,8,7,6,4,5,3]=>[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]
[8,7,4,3,6,2,5,1]=>[5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]
[8,7,6,5,2,4,3,1]=>[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]
[8,7,4,2,6,5,3,1]=>[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>[1,3,5,6,2,4,7,8]
[8,3,2,7,6,5,1,4]=>[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]
[8,7,6,5,3,1,4,2]=>[4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]
[8,7,6,5,1,3,2,4]=>[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]
[8,7,6,5,1,3,4,2]=>[4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]=>[1,5,6,7,8,2,4,3]
[8,7,6,5,1,4,3,2]=>[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]
[8,7,6,5,4,1,3,2]=>[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]
[8,3,2,7,6,1,5,4]=>[5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]
[8,3,2,7,6,1,4,5]=>[4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]
[8,7,6,5,1,4,2,3]=>[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>[1,5,6,7,8,2,4,3]
[8,7,6,5,1,2,4,3]=>[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]
[7,3,5,1,8,4,6,2]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]
[5,3,2,1,8,7,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[2,6,4,1,7,8,5,3]=>[8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]=>[1,4,6,2,3,5,8,7]
[2,6,5,1,7,8,4,3]=>[8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]=>[1,5,6,2,3,4,8,7]
[6,5,1,2,8,4,3,7]=>[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>[1,5,6,2,3,4,8,7]
[6,4,1,2,8,5,3,7]=>[2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]=>[1,4,6,2,3,5,8,7]
[5,2,3,1,6,4,8,7]=>[3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]
[8,6,7,3,5,2,4,1]=>[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]
[6,3,5,2,4,1,8,7]=>[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]
[6,2,7,3,4,1,8,5]=>[4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]
[4,1,7,3,5,2,8,6]=>[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]
[2,1,7,4,5,3,8,6]=>[2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]
[4,1,8,6,7,3,5,2]=>[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]
[8,5,7,3,4,1,6,2]=>[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]
[8,5,6,2,7,3,4,1]=>[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]
[5,1,8,4,7,3,6,2]=>[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]
[2,1,8,5,7,4,6,3]=>[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]
[4,1,7,3,6,2,8,5]=>[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]
[5,1,7,3,6,2,8,4]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]
[6,2,8,4,7,3,5,1]=>[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]
[8,4,7,3,6,2,5,1]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]
[8,5,7,3,6,2,4,1]=>[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]
[8,5,7,4,6,2,3,1]=>[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]
[3,1,6,2,8,5,7,4]=>[7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]
[4,1,6,2,8,5,7,3]=>[7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]
[5,1,6,2,8,4,7,3]=>[7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]
[8,4,6,2,5,1,7,3]=>[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]
[5,1,8,4,6,2,7,3]=>[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]
[4,1,8,5,6,2,7,3]=>[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>[1,4,2,6,3,7,5,8]
[4,1,7,3,8,5,6,2]=>[6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]
[7,3,6,2,8,4,5,1]=>[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]
[7,8,2,4,5,6,1,3]=>[3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]
[7,8,1,4,2,3,6,5]=>[3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]=>[1,8,2,4,3,5,6,7]
[2,6,4,8,3,7,1,5]=>[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[1,7,2,3,8,4,6,5]
[1,4,6,8,3,7,5,2]=>[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]
[4,6,2,5,3,1,8,7]=>[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]
[5,3,6,7,2,1,8,4]=>[8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]
[4,6,7,8,3,5,1,2]=>[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]
[3,6,1,8,4,2,5,7]=>[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]
[4,2,8,1,6,3,7,5]=>[7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]
[3,4,2,8,6,1,7,5]=>[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]
[3,4,7,1,5,2,6,8]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]
[4,3,7,8,1,2,6,5]=>[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]
[1,6,4,3,8,2,5,7]=>[1,5,7,8,2,6,4,3]=>[3,4,6,2,8,7,5,1]=>[1,2,8,3,4,6,5,7]
[2,6,3,4,5,8,1,7]=>[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]
[2,6,4,1,8,3,7,5]=>[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]
[7,4,6,1,2,5,3,8]=>[2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]
[6,8,1,3,7,5,4,2]=>[7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]=>[1,8,2,4,5,7,3,6]
[7,4,6,3,1,5,2,8]=>[5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7,8]
[6,8,2,3,5,4,7,1]=>[7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]
[2,5,3,6,8,4,7,1]=>[7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]
[2,1,4,7,8,5,6,3]=>[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]
[6,3,8,7,2,5,1,4]=>[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[1,5,2,7,8,3,6,4]
[3,4,7,5,1,8,6,2]=>[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>[1,5,7,2,6,8,3,4]
[2,8,6,4,1,5,7,3]=>[7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]=>[1,4,6,8,2,3,7,5]
[5,2,7,3,6,8,1,4]=>[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]
[5,7,3,4,6,1,8,2]=>[8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]=>[1,6,2,8,3,7,4,5]
[5,3,8,1,2,6,4,7]=>[2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]
[5,7,4,1,6,2,3,8]=>[3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5,8]
[8,5,4,1,2,6,3,7]=>[2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]=>[1,4,5,8,2,3,6,7]
[1,6,3,7,2,8,4,5]=>[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]
[3,5,6,8,2,7,1,4]=>[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]
[5,8,7,3,4,1,2,6]=>[2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]=>[1,4,2,3,7,8,5,6]
[6,8,4,7,1,5,3,2]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]
[6,8,4,7,2,5,3,1]=>[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]
[5,4,8,7,2,6,3,1]=>[6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]
[5,4,8,7,1,6,3,2]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[1,7,8,2,3,6,4,5]
[4,3,8,7,6,1,2,5]=>[2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]
[4,5,8,7,1,6,3,2]=>[6,3,2,8,7,1,4,5]=>[5,4,1,7,8,2,3,6]=>[1,7,8,2,3,6,4,5]
[4,5,8,7,2,6,3,1]=>[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]
[3,5,8,2,7,6,4,1]=>[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]
[2,8,4,7,1,5,3,6]=>[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]
[8,2,4,6,1,5,3,7]=>[5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]
[3,4,1,8,7,6,5,2]=>[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]
[8,4,2,6,1,5,3,7]=>[5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]
[4,2,8,7,1,6,3,5]=>[5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]=>[1,7,8,2,4,3,6,5]
[5,2,8,7,1,6,3,4]=>[4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]=>[1,7,8,2,5,3,6,4]
[6,8,2,1,7,5,4,3]=>[7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]
[6,8,2,7,1,5,3,4]=>[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]
[6,8,1,2,7,5,4,3]=>[2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]
[4,1,8,7,2,6,3,5]=>[5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]
[8,4,1,6,2,5,3,7]=>[5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]=>[1,4,8,2,6,3,5,7]
[3,1,2,8,7,6,5,4]=>[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]
[3,1,4,8,7,6,5,2]=>[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[1,3,2,5,6,7,8,4]
[8,2,1,3,6,5,4,7]=>[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>[1,2,8,3,4,5,6,7]
[8,1,2,3,6,5,4,7]=>[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]
[3,5,1,8,2,4,7,6]=>[4,7,6,8,2,5,1,3]=>[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]
[3,1,6,5,8,2,4,7]=>[4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]
[1,6,4,2,8,3,7,5]=>[1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]=>[1,2,4,6,3,8,5,7]
[1,5,2,8,6,3,7,4]=>[1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]=>[1,2,5,3,6,8,4,7]
[1,7,6,4,2,8,3,5]=>[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]
[1,7,5,2,6,3,8,4]=>[1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]=>[1,2,5,7,3,6,4,8]
[1,4,8,5,2,7,3,6]=>[1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]
[8,5,3,1,7,2,4,6]=>[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>[1,3,5,8,2,7,4,6]
[1,7,4,2,8,6,3,5]=>[1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]=>[1,2,4,7,3,6,8,5]
[6,4,1,5,2,7,3,8]=>[7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7,8]
[6,3,5,7,2,1,8,4]=>[8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]
[5,8,1,6,2,4,3,7]=>[4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]
[2,3,4,1,8,6,5,7]=>[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]
[2,3,8,5,1,4,7,6]=>[4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]
[2,3,8,6,1,5,7,4]=>[7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]=>[1,6,8,2,3,4,7,5]
[7,3,5,8,2,1,6,4]=>[6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]
[2,6,4,1,8,5,7,3]=>[7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]=>[1,4,6,2,3,7,5,8]
[2,3,4,1,8,7,5,6]=>[4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]
[2,3,8,1,4,5,7,6]=>[4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]
[2,10,1,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]
[8,5,6,3,4,1,7,2]=>[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>[1,4,2,7,3,6,5,8]
[4,1,3,7,6,2,5,8]=>[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5,8]
[5,1,7,3,6,2,4,8]=>[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]
[1,2,8,3,7,4,5,6]=>[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[1,2,3,8,4,7,5,6]
[8,1,7,2,6,3,5,4]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]
[5,1,8,3,2,7,4,6]=>[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]
[8,7,6,1,5,4,3,2]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]
[6,5,8,3,2,1,7,4]=>[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]
[8,5,7,3,1,6,4,2]=>[6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]=>[1,3,7,2,4,6,5,8]
[1,6,8,4,2,7,3,5]=>[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]=>[1,2,4,8,3,7,5,6]
[8,4,3,7,1,6,5,2]=>[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]
[6,4,3,1,5,2,7,8]=>[5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7,8]
[3,2,7,1,4,6,5,8]=>[4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]
[1,7,2,3,6,4,5,8]=>[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5,8]
[3,2,8,1,4,5,7,6]=>[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]
[4,1,3,2,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]
[5,1,2,4,3,6,7,8]=>[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]
[6,1,2,3,5,4,7,8]=>[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]
[7,1,2,3,4,6,5,8]=>[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]
[8,1,2,3,4,5,7,6]=>[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]
[5,4,7,6,8,1,2,3]=>[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]
[3,4,8,6,7,1,2,5]=>[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]
[2,5,6,8,1,7,3,4]=>[4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]
[1,5,6,8,2,3,7,4]=>[1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]=>[1,2,8,3,4,7,5,6]
[1,4,2,6,8,5,7,3]=>[1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]
[5,3,7,2,6,4,8,1]=>[8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]
[6,7,3,1,5,8,4,2]=>[8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]
[6,7,2,1,8,5,4,3]=>[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]
[6,7,1,2,8,4,5,3]=>[2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]
[5,1,7,8,2,3,6,4]=>[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]
[5,7,2,3,8,1,6,4]=>[6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]
[6,7,3,8,2,1,5,4]=>[5,4,8,2,1,7,3,6]=>[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]
[6,1,7,8,4,5,2,3]=>[3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]
[6,7,2,8,3,5,1,4]=>[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]
[6,2,7,8,1,4,5,3]=>[5,3,4,8,1,6,2,7]=>[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]
[4,1,2,7,8,6,5,3]=>[2,8,6,5,3,4,1,7]=>[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]
[6,2,7,8,1,5,4,3]=>[5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]
[5,7,1,2,8,6,3,4]=>[2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]=>[1,7,2,3,6,8,4,5]
[5,1,7,2,8,6,4,3]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]
[6,3,4,5,8,7,2,1]=>[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]
[6,3,7,4,2,8,5,1]=>[8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]=>[1,5,8,2,4,7,3,6]
[7,5,3,6,4,2,8,1]=>[8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]
[7,5,4,1,8,3,2,6]=>[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]
[6,5,8,4,2,7,3,1]=>[7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]
[3,8,6,2,5,7,4,1]=>[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>[1,4,7,2,6,8,3,5]
[8,7,5,2,6,4,3,1]=>[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>[1,3,4,6,2,5,7,8]
[4,2,8,5,7,3,6,1]=>[6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]
[5,1,7,6,8,3,2,4]=>[4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]
[2,8,7,6,5,3,4,1]=>[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]
[4,8,6,7,3,5,1,2]=>[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]
[1,8,6,7,4,5,2,3]=>[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]
[3,8,5,7,4,6,1,2]=>[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]
[5,8,2,7,4,6,1,3]=>[3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]
[6,8,2,7,4,5,1,3]=>[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]
[6,8,1,7,4,5,2,3]=>[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]
[5,8,1,7,4,6,2,3]=>[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]
[1,7,3,8,4,6,2,5]=>[1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]
[4,8,1,7,3,6,2,5]=>[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]
[5,8,1,7,3,6,2,4]=>[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]
[7,8,2,6,3,5,1,4]=>[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]
[6,8,2,7,3,5,1,4]=>[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]
[3,7,1,8,4,6,2,5]=>[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]
[4,8,5,7,2,6,1,3]=>[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]
[3,8,5,7,2,6,1,4]=>[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]
[4,8,6,7,2,5,1,3]=>[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]
[6,8,5,7,1,4,2,3]=>[3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]=>[1,7,2,4,3,5,8,6]
[3,8,6,7,1,5,2,4]=>[4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]
[2,6,1,8,5,7,3,4]=>[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[1,6,2,3,7,4,5,8]
[6,8,4,7,1,5,2,3]=>[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]
[4,8,3,7,1,6,2,5]=>[5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]
[1,6,2,8,4,7,3,5]=>[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]
[3,7,2,6,1,8,4,5]=>[5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]=>[1,6,2,7,3,4,8,5]
[3,7,1,6,2,8,4,5]=>[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]
[4,8,1,6,2,7,3,5]=>[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]
[5,8,1,6,2,7,3,4]=>[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]
[6,8,2,5,1,7,3,4]=>[4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]
[4,8,2,6,1,7,3,5]=>[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]
[1,2,4,5,6,7,8,9,3]=>[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]
[1,3,4,5,6,7,8,9,2]=>[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]
[1,3,4,5,6,7,8,9,10,2]=>[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]
[6,7,4,5,2,8,1,3]=>[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]
[5,7,4,6,2,3,1,8]=>[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]
[5,7,4,6,3,8,1,2]=>[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>[1,8,2,3,6,4,7,5]
[5,8,4,6,3,7,1,2]=>[2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]=>[1,7,2,3,6,4,8,5]
[5,6,4,8,3,7,1,2]=>[2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]=>[1,7,2,3,8,4,6,5]
[5,6,3,7,2,4,1,8]=>[4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]
[5,6,3,7,2,8,1,4]=>[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]
[5,6,4,8,2,7,1,3]=>[3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]=>[1,7,2,8,3,4,6,5]
[5,8,4,6,2,7,1,3]=>[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]=>[1,7,2,6,3,4,8,5]
[6,8,4,5,2,7,1,3]=>[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]
[5,6,3,8,2,4,1,7]=>[4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]=>[1,4,2,8,3,6,5,7]
[4,6,3,5,2,8,1,7]=>[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[1,8,2,5,3,6,4,7]
[6,8,3,5,2,4,1,7]=>[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]
[7,8,3,5,2,4,1,6]=>[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]
[4,8,3,6,2,7,1,5]=>[5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]
[4,6,3,7,2,8,1,5]=>[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]
[5,7,3,6,2,4,1,8]=>[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]
[6,7,3,5,2,8,1,4]=>[4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]
[6,7,4,8,2,5,1,3]=>[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]
[7,8,4,6,2,3,1,5]=>[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]
[6,8,3,7,2,4,1,5]=>[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[1,4,2,7,3,8,5,6]
[4,5,3,7,2,8,1,6]=>[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]
[4,5,3,8,2,7,1,6]=>[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]
[4,8,3,5,2,7,1,6]=>[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]
[4,5,3,6,2,8,1,7]=>[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>[1,8,2,6,3,5,4,7]
[7,4,8,1,6,5,3,2]=>[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]
[8,4,6,3,7,2,1,5]=>[5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]
[5,7,8,6,2,3,1,4]=>[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]
[5,8,7,6,3,2,1,4]=>[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]
[4,8,6,2,7,3,1,5]=>[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[1,3,7,2,6,8,4,5]
[8,3,2,6,7,5,1,4]=>[4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]
[7,6,4,3,8,1,5,2]=>[5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]
[6,5,7,8,1,2,4,3]=>[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]
[6,1,8,3,4,5,7,2]=>[7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]
[5,6,2,1,4,8,3,7]=>[7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]
[8,6,1,3,7,2,4,5]=>[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[1,6,8,2,7,3,4,5]
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[8,9,7,6,5,4,3,2,1]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]
[8,7,9,6,5,4,3,2,1]=>[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,6,9,7,8]
[8,7,6,5,9,4,3,2,1]=>[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>[1,2,3,4,9,5,6,7,8]
[8,7,6,5,4,3,2,9,1]=>[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]
[9,10,8,7,6,5,4,3,2,1]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]
[9,8,10,7,6,5,4,3,2,1]=>[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,7,10,8,9]
[9,8,7,6,5,4,3,2,10,1]=>[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]
[1,2,8,4,3,5,6,7]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]
[1,7,5,4,2,6,3,8]=>[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6,8]
[7,2,3,1,4,5,8,6]=>[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]
[8,1,2,4,6,5,3,7]=>[2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]
[8,1,2,5,4,6,3,7]=>[2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]
[8,1,2,5,6,4,3,7]=>[2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]
[8,1,2,6,5,4,3,7]=>[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]
[5,7,2,8,1,3,4,6]=>[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]
[4,1,5,8,2,7,3,6]=>[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]
[5,3,7,1,8,2,4,6]=>[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]
[4,8,7,2,1,3,5,6]=>[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]
[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]
[10,9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>[1,9,10,2,3,4,5,6,7,8]
[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]
[5,7,8,4,2,6,1,3]=>[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]
[7,6,3,8,2,1,5,4]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]
[3,7,8,4,2,5,1,6]=>[5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]=>[1,5,2,4,8,3,6,7]
[4,7,8,3,2,1,5,6]=>[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]
[8,6,3,7,2,1,4,5]=>[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]
[3,6,4,8,2,5,1,7]=>[5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]
[2,6,4,7,3,5,8,1]=>[8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]=>[1,8,2,3,7,4,6,5]
[7,4,3,2,1,8,5,6]=>[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]
[8,4,3,2,1,7,6,5]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]
[5,6,3,8,2,1,7,4]=>[7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]
[6,5,4,2,8,7,1,3]=>[3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]=>[1,7,8,2,4,5,6,3]
[2,6,4,7,3,8,5,1]=>[8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]
[8,4,3,2,1,5,7,6]=>[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]
[7,4,3,2,1,5,8,6]=>[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,5,6,8]
[4,2,5,3,8,1,6,7]=>[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]
[4,5,1,7,3,2,6,8]=>[6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]
[3,5,2,7,4,6,1,8]=>[6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]
[7,3,1,4,6,8,2,5]=>[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]
[3,2,6,1,5,7,4,8]=>[7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]
[3,6,2,1,5,7,4,8]=>[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5,8]
[6,3,2,1,5,7,4,8]=>[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]
[6,4,2,1,5,3,7,8]=>[5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7,8]
[4,2,6,1,5,3,7,8]=>[5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]
[2,4,1,5,3,8,7,6]=>[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]
[3,4,6,2,1,7,8,5]=>[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]
[3,5,6,2,7,1,4,8]=>[4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]
[3,5,6,2,7,1,8,4]=>[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]
[3,5,6,2,7,8,1,4]=>[4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]
[3,4,6,2,8,7,5,1]=>[8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]
[3,5,6,2,7,8,4,1]=>[8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>[1,4,8,2,6,3,5,7]
[3,5,6,2,7,4,1,8]=>[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5,8]
[3,4,6,1,8,7,2,5]=>[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>[1,6,2,7,8,3,4,5]
[2,4,1,6,8,7,3,5]=>[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]
[2,5,1,6,7,4,8,3]=>[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]
[2,4,8,6,1,7,5,3]=>[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]
[2,5,8,6,7,4,1,3]=>[3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]=>[1,4,7,2,3,5,6,8]
[4,2,5,6,1,8,3,7]=>[7,8,3,6,1,4,2,5]=>[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]
[6,1,5,7,3,2,4,8]=>[4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5,8]
[3,2,4,1,8,7,5,6]=>[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]
[3,2,4,1,8,5,6,7]=>[4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]
[4,2,6,1,8,3,7,5]=>[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]
[4,2,6,1,8,5,7,3]=>[7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]
[8,5,6,1,7,3,4,2]=>[4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]
[8,7,5,1,6,4,2,3]=>[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]=>[1,5,7,8,2,4,6,3]
[4,6,3,7,1,8,5,2]=>[8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]=>[1,7,2,5,8,3,6,4]
[4,6,3,7,5,1,8,2]=>[8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]=>[1,5,7,2,8,3,6,4]
[4,2,6,1,7,5,3,8]=>[7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7,8]
[6,4,3,8,5,1,7,2]=>[7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]
[2,6,4,1,8,5,3,7]=>[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]
[3,2,5,6,1,8,4,7]=>[7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]
[3,5,2,8,1,6,4,7]=>[6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]
[4,3,8,2,6,7,1,5]=>[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]
[2,5,7,4,8,1,6,3]=>[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]
[6,3,2,1,4,7,8,5]=>[4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]
[6,3,2,1,4,7,5,8]=>[4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]
[4,6,2,1,8,3,7,5]=>[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]
[3,5,2,8,1,7,4,6]=>[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]
[3,2,1,4,7,5,8,6]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]
[4,8,3,2,1,5,6,7]=>[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]
[4,3,8,2,1,5,6,7]=>[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]
[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]
[6,2,3,1,5,4,8,7]=>[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]
[8,4,5,2,3,1,7,6]=>[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]
[8,6,7,2,5,3,4,1]=>[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]
[8,2,5,3,4,1,7,6]=>[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]
[6,2,5,3,4,1,8,7]=>[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]
[6,1,5,2,4,3,8,7]=>[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[1,6,2,5,3,4,7,8]
[6,4,5,1,3,2,8,7]=>[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]
[6,1,5,3,4,2,8,7]=>[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]
[6,3,5,1,4,2,8,7]=>[4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]
[8,3,5,2,4,1,7,6]=>[4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]
[8,3,7,5,6,2,4,1]=>[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]
[8,3,7,2,4,1,6,5]=>[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>[1,4,2,7,3,8,5,6]
[8,3,5,1,4,2,7,6]=>[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]
[8,1,5,3,4,2,7,6]=>[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]
[8,4,5,1,3,2,7,6]=>[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]
[2,1,8,4,5,3,7,6]=>[2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]
[8,6,7,4,5,1,3,2]=>[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]
[8,6,7,1,5,3,4,2]=>[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]
[8,6,7,3,5,1,4,2]=>[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]
[8,3,7,5,6,1,4,2]=>[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]
[8,5,7,3,6,1,4,2]=>[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]
[8,3,7,4,6,2,5,1]=>[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]
[8,3,7,4,6,1,5,2]=>[5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]
[8,3,7,1,6,4,5,2]=>[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>[1,7,2,5,3,8,4,6]
[8,1,7,3,6,4,5,2]=>[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[1,8,2,5,3,7,4,6]
[8,1,7,5,6,3,4,2]=>[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]
[8,4,7,5,6,1,3,2]=>[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]
[2,1,8,4,7,5,6,3]=>[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]
[8,1,7,3,4,2,6,5]=>[4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>[1,8,2,4,3,7,5,6]
[8,1,7,3,6,2,5,4]=>[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[1,8,2,6,3,7,4,5]
[8,3,7,1,6,2,5,4]=>[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]
[8,3,7,2,6,4,5,1]=>[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>[1,5,2,7,3,8,4,6]
[8,2,7,3,6,4,5,1]=>[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>[1,5,2,8,3,7,4,6]
[8,2,7,3,6,1,5,4]=>[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>[1,6,2,8,3,7,4,5]
[8,2,7,1,6,3,5,4]=>[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>[1,7,2,8,3,6,4,5]
[8,1,7,2,4,3,6,5]=>[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]
[8,1,3,2,7,4,6,5]=>[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]
[2,1,8,3,7,4,6,5]=>[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[1,2,3,8,4,7,5,6]
[8,1,5,2,4,3,7,6]=>[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]
[8,2,7,1,4,3,6,5]=>[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>[1,7,2,8,3,4,5,6]
[8,2,7,3,4,1,6,5]=>[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>[1,4,2,8,3,7,5,6]
[8,2,7,5,6,3,4,1]=>[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]
[8,4,7,5,6,2,3,1]=>[3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]
[8,4,7,2,3,1,6,5]=>[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>[1,3,2,7,4,8,5,6]
[8,2,3,1,7,4,6,5]=>[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>[1,3,2,8,4,7,5,6]
[8,2,3,1,5,4,7,6]=>[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]
[4,2,3,1,8,5,7,6]=>[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]
[4,1,3,2,8,6,7,5]=>[3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]
[8,6,7,2,3,1,5,4]=>[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]
[8,2,3,1,7,5,6,4]=>[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]
[8,5,7,2,6,3,4,1]=>[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]
[8,5,7,2,6,1,4,3]=>[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>[1,6,2,7,3,4,5,8]
[8,2,7,5,6,1,4,3]=>[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]
[8,6,7,2,5,1,4,3]=>[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]
[8,6,7,1,5,2,4,3]=>[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]
[8,6,7,1,3,2,5,4]=>[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]
[2,1,8,6,7,3,5,4]=>[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]
[2,1,8,3,7,5,6,4]=>[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]
[8,1,3,2,7,5,6,4]=>[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]
[8,1,7,5,6,2,4,3]=>[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]
[8,1,7,2,6,4,5,3]=>[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[1,8,2,7,3,5,4,6]
[8,2,7,1,6,4,5,3]=>[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]
[8,2,7,4,6,1,5,3]=>[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]
[8,2,7,4,6,3,5,1]=>[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]
[8,4,7,2,6,3,5,1]=>[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]
[8,4,7,2,6,1,5,3]=>[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>[1,6,2,7,3,5,4,8]
[8,4,7,1,6,2,5,3]=>[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>[1,7,2,6,3,5,4,8]
[8,1,7,4,6,2,5,3]=>[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]
[8,5,7,1,6,2,4,3]=>[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]
[2,1,8,5,7,3,6,4]=>[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]
[8,5,7,4,6,1,3,2]=>[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]
[8,5,7,1,6,3,4,2]=>[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]
[8,1,7,4,6,3,5,2]=>[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]
[8,4,7,1,6,3,5,2]=>[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]
[8,4,7,3,6,1,5,2]=>[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]
[3,6,2,8,4,5,7,1]=>[7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]
[1,3,7,8,4,6,5,2]=>[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>[1,2,5,6,3,4,8,7]
[3,6,7,8,4,2,5,1]=>[5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]
[2,8,3,7,1,6,5,4]=>[6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]
[5,2,8,7,3,6,1,4]=>[4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]=>[1,6,2,5,3,7,8,4]
[7,2,1,8,4,6,5,3]=>[6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]=>[1,2,7,3,5,6,4,8]
[6,4,8,5,2,3,1,7]=>[3,1,7,8,5,2,6,4]=>[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]
[3,4,2,1,8,5,6,7]=>[4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]=>[1,2,4,3,5,8,6,7]
[4,6,8,5,1,3,2,7]=>[3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]
[2,8,4,3,5,1,6,7]=>[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]
[6,2,8,4,5,3,1,7]=>[5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]=>[1,3,5,2,6,4,8,7]
[4,2,3,1,8,5,6,7]=>[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]
[2,8,1,5,3,4,7,6]=>[4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]
[1,2,8,5,4,3,6,7]=>[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]
[1,2,7,4,8,5,3,6]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[1,2,3,5,8,4,7,6]
[2,8,1,5,4,7,3,6]=>[6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]
[1,2,7,3,5,8,4,6]=>[1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]
[2,8,1,7,3,5,4,6]=>[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]
[2,8,1,7,6,4,3,5]=>[5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]=>[1,8,2,3,4,6,7,5]
[7,8,3,4,1,6,2,5]=>[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]
[5,7,3,4,1,6,2,8]=>[6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]
[5,6,2,7,3,4,1,8]=>[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]
[4,7,3,5,1,6,2,8]=>[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]
[4,8,3,5,1,7,2,6]=>[6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>[1,5,2,7,3,8,4,6]
[5,6,2,4,1,8,3,7]=>[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]
[4,6,2,5,1,7,3,8]=>[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]
[4,5,1,7,3,8,2,6]=>[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]
[4,6,2,7,3,8,1,5]=>[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]
[5,6,2,7,3,8,1,4]=>[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]
[5,6,2,7,4,8,1,3]=>[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]
[4,6,2,8,3,7,1,5]=>[5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]
[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]
[6,5,3,2,1,4,8,7]=>[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]
[6,8,3,5,1,7,4,2]=>[7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]
[3,8,7,4,1,6,2,5]=>[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]=>[1,4,7,8,2,6,3,5]
[8,6,3,2,1,4,7,5]=>[4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]
[5,8,3,6,2,1,7,4]=>[7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]
[5,8,3,1,6,2,7,4]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[1,3,8,2,6,4,7,5]
[4,5,3,8,6,1,7,2]=>[7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]=>[1,6,8,2,7,3,5,4]
[8,2,4,7,1,6,5,3]=>[6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]=>[1,7,2,8,3,5,6,4]
[6,7,1,3,5,8,4,2]=>[8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]=>[1,7,2,4,8,3,5,6]
[5,8,7,3,6,1,4,2]=>[4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]=>[1,6,2,4,3,7,8,5]
[2,8,4,7,1,6,5,3]=>[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]
[2,8,3,1,7,6,5,4]=>[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]
[8,2,3,1,7,6,5,4]=>[3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]
[8,3,2,1,7,6,5,4]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]
[8,4,2,7,1,6,5,3]=>[6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]=>[1,7,2,4,8,3,5,6]
[8,5,7,2,1,6,4,3]=>[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]
[1,5,7,2,8,6,4,3]=>[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]=>[1,2,7,3,4,6,8,5]
[2,5,7,8,1,6,4,3]=>[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]
[1,5,7,8,2,6,4,3]=>[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>[1,2,8,3,4,6,5,7]
[8,4,1,7,2,6,5,3]=>[6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]=>[1,4,8,2,7,3,5,6]
[5,2,7,8,1,6,4,3]=>[6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]
[4,1,8,7,2,6,5,3]=>[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]
[5,1,7,8,2,6,4,3]=>[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[1,12,2,3,4,5,6,7,8,9,10,11]
[2,7,1,5,8,3,6,4]=>[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>[1,7,2,3,8,4,6,5]
[3,6,5,1,8,2,7,4]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[1,5,6,2,8,3,4,7]
[8,1,2,5,7,3,6,4]=>[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[1,8,2,3,7,4,6,5]
[2,3,6,1,4,8,7,5]=>[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]
[4,2,5,3,1,8,7,6]=>[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]
[8,1,2,4,3,7,6,5]=>[2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]
[8,1,3,4,2,7,6,5]=>[4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]
[2,7,1,4,3,8,6,5]=>[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]
[2,7,1,3,4,8,6,5]=>[3,4,8,6,5,7,1,2]=>[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]
[8,1,5,2,7,3,6,4]=>[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]
[8,1,4,2,3,7,6,5]=>[3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]
[6,3,2,1,4,8,7,5]=>[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]
[8,1,3,2,4,7,6,5]=>[3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]
[8,1,2,3,4,7,6,5]=>[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]
[2,4,3,6,1,5,8,7]=>[5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]
[2,4,6,3,5,8,1,7]=>[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]
[2,4,6,3,1,5,8,7]=>[5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]
[2,4,1,6,5,3,8,7]=>[6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]
[4,2,6,5,3,1,8,7]=>[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]
[4,2,6,5,1,8,7,3]=>[8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]=>[1,5,6,2,4,3,7,8]
[4,2,6,5,8,1,7,3]=>[7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]
[2,1,4,6,5,8,3,7]=>[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]
[2,6,4,3,8,7,1,5]=>[5,8,7,1,2,6,4,3]=>[3,4,6,2,1,7,8,5]=>[1,7,8,2,3,4,6,5]
[2,1,4,6,8,5,3,7]=>[2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]
[2,4,1,6,8,5,3,7]=>[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]
[2,4,6,1,8,5,3,7]=>[7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]=>[1,6,2,3,5,8,4,7]
[4,2,6,8,5,3,1,7]=>[7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]
[2,4,6,8,3,1,5,7]=>[5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]
[2,4,6,3,1,8,5,7]=>[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[1,3,6,2,4,5,8,7]
[2,4,3,6,1,8,5,7]=>[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]
[2,4,3,1,6,8,5,7]=>[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]
[2,4,1,3,6,8,7,5]=>[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]
[4,6,5,2,8,7,1,3]=>[3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]
[2,4,1,6,8,3,7,5]=>[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[1,4,2,3,8,5,7,6]
[2,4,6,1,8,3,7,5]=>[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[1,6,2,3,8,4,5,7]
[2,4,6,8,3,1,7,5]=>[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]
[4,6,2,8,5,7,3,1]=>[7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]=>[1,3,7,2,6,4,5,8]
[4,6,2,8,5,7,1,3]=>[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]
[6,2,4,8,7,1,3,5]=>[3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]=>[1,7,8,2,6,3,4,5]
[2,6,4,8,1,7,5,3]=>[7,5,3,8,1,2,6,4]=>[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]
[2,6,4,8,1,7,3,5]=>[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>[1,8,2,3,7,4,6,5]
[6,2,4,8,7,3,1,5]=>[5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]=>[1,3,7,8,2,6,4,5]
[2,8,6,3,7,1,4,5]=>[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>[1,7,2,3,6,8,4,5]
[6,8,1,3,7,2,4,5]=>[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]
[5,8,2,1,7,3,4,6]=>[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]
[2,6,1,4,5,8,3,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]
[6,5,1,3,4,8,2,7]=>[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]=>[1,5,6,2,8,3,4,7]
[1,6,2,4,8,3,5,7]=>[1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]
[4,3,5,2,1,8,6,7]=>[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>[1,2,5,3,4,6,8,7]
[4,3,2,8,7,1,5,6]=>[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]
[8,3,2,1,4,6,5,7]=>[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]
[4,2,7,6,1,8,3,5]=>[5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]
[4,3,8,6,7,1,2,5]=>[2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]
[4,2,8,6,1,7,3,5]=>[5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]=>[1,6,8,2,4,3,7,5]
[4,2,8,6,1,3,7,5]=>[3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]=>[1,6,8,2,4,3,5,7]
[4,2,7,8,1,3,6,5]=>[3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]=>[1,8,2,4,3,5,6,7]
[4,2,6,8,1,3,7,5]=>[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[1,8,2,4,3,5,7,6]
[4,2,6,7,1,3,8,5]=>[3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]
[3,2,6,1,8,4,7,5]=>[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]
[4,2,6,8,1,7,3,5]=>[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]
[4,2,6,7,1,8,3,5]=>[5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]
[3,8,7,5,4,6,1,2]=>[2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]
[7,1,2,5,8,3,6,4]=>[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]
[4,1,6,2,8,7,5,3]=>[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]
[2,3,8,5,4,1,6,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[1,4,5,8,2,3,6,7]
[1,2,4,5,8,3,7,6]=>[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]
[4,2,6,3,8,1,7,5]=>[7,5,8,1,6,3,4,2]=>[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]
[3,5,6,4,1,8,2,7]=>[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>[1,4,6,2,8,3,5,7]
[9,8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[1,8,9,2,3,4,5,6,7]
[9,8,7,6,5,4,3,1,2]=>[2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]
[10,9,8,7,6,5,4,3,1,2]=>[2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]
[1,4,6,3,7,5,8,2]=>[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]
[2,4,6,1,7,5,3,8]=>[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4,8]
[2,5,4,1,6,3,8,7]=>[6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]=>[1,4,5,2,3,6,7,8]
[5,3,8,2,1,6,4,7]=>[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]
[7,8,4,3,2,1,6,5]=>[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]
[5,4,7,2,1,8,6,3]=>[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]
[7,5,8,3,2,6,1,4]=>[4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]
[3,6,7,2,8,1,4,5]=>[4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]
[6,3,7,2,8,1,4,5]=>[4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]
[7,3,5,2,1,8,4,6]=>[6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]
[4,8,7,3,2,1,5,6]=>[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]
[8,4,7,3,2,1,5,6]=>[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>[1,2,3,7,4,8,5,6]
[7,8,3,5,4,6,1,2]=>[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]
[8,6,3,7,5,2,4,1]=>[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]
[5,4,1,6,3,2,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]
[5,7,1,6,2,8,3,4]=>[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]
[2,3,6,5,1,4,8,7]=>[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>[1,5,6,2,3,4,7,8]
[2,3,6,4,1,5,8,7]=>[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]
[2,3,6,1,5,4,8,7]=>[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]
[2,1,7,6,3,8,5,4]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]
[2,3,4,8,7,6,1,5]=>[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]
[2,1,4,5,8,7,3,6]=>[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]
[2,3,4,8,7,5,1,6]=>[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>[1,5,7,8,2,3,4,6]
[2,7,6,5,4,8,1,3]=>[3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]
[7,3,5,6,8,4,1,2]=>[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>[1,4,8,2,3,7,5,6]
[7,3,5,6,8,1,4,2]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[1,8,2,4,3,7,5,6]
[7,3,5,6,8,1,2,4]=>[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]
[5,7,1,6,3,8,2,4]=>[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]
[7,4,1,5,8,2,6,3]=>[6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]
[6,3,5,7,8,2,1,4]=>[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]=>[1,2,8,3,6,4,5,7]
[2,7,6,4,5,8,3,1]=>[8,3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3,8]=>[1,3,8,2,4,6,7,5]
[2,1,4,5,8,6,3,7]=>[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]
[2,3,4,8,7,1,6,5]=>[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]
[2,3,4,8,1,7,6,5]=>[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]
[2,3,4,8,1,6,7,5]=>[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]
[2,3,4,8,5,1,7,6]=>[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]
[2,1,4,5,8,3,7,6]=>[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]
[2,3,4,8,5,1,6,7]=>[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]
[2,3,4,8,1,6,5,7]=>[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]
[2,3,4,8,1,5,7,6]=>[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]
[5,8,2,7,1,6,3,4]=>[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]=>[1,7,2,8,3,6,4,5]
[2,8,6,7,1,5,3,4]=>[4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]
[2,8,1,7,5,6,3,4]=>[4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]
[2,8,1,7,4,6,3,5]=>[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[1,8,2,3,6,4,7,5]
[4,8,2,7,1,6,3,5]=>[5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>[1,7,2,8,3,6,4,5]
[3,8,1,7,4,6,2,5]=>[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]
[3,8,1,7,2,6,4,5]=>[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]
[3,8,2,7,1,6,4,5]=>[5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]=>[1,7,2,8,3,4,6,5]
[2,8,4,7,5,6,1,3]=>[3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]
[2,8,1,7,3,6,4,5]=>[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[1,8,2,3,7,4,6,5]
[6,8,1,7,4,2,5,3]=>[5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]=>[1,8,2,4,7,3,5,6]
[7,1,8,3,5,6,2,4]=>[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]
[7,3,1,8,4,2,5,6]=>[5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]
[6,2,4,8,5,3,1,7]=>[7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]=>[1,3,5,8,2,6,4,7]
[2,5,3,7,8,1,6,4]=>[6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]
[6,4,2,8,1,3,7,5]=>[3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]
[5,8,1,3,6,2,7,4]=>[7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]
[4,6,1,7,5,2,8,3]=>[8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]
[4,5,1,7,2,6,3,8]=>[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]
[3,6,2,7,5,1,8,4]=>[8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]=>[1,5,7,2,6,3,4,8]
[3,4,5,8,2,7,1,6]=>[6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]
[3,5,2,6,8,1,7,4]=>[7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]
[3,1,6,5,4,8,2,7]=>[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]
[2,7,1,5,4,3,8,6]=>[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]
[2,7,6,1,4,3,8,5]=>[4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]
[4,6,8,5,3,7,1,2]=>[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]
[1,4,6,2,5,8,3,7]=>[1,7,8,3,5,6,2,4]=>[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]
[5,8,6,7,3,2,1,4]=>[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]
[3,2,6,4,7,8,1,5]=>[5,8,1,3,2,6,4,7]=>[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]
[2,6,4,5,3,8,1,7]=>[7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]
[3,6,5,8,4,2,1,7]=>[7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]
[6,8,5,4,3,1,2,7]=>[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]=>[1,3,4,5,8,2,6,7]
[4,2,1,3,6,7,8,5]=>[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>[1,2,4,3,5,8,6,7]
[8,2,5,6,3,7,1,4]=>[4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]
[4,3,1,2,6,7,8,5]=>[2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]
[3,8,1,6,5,7,2,4]=>[4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]
[8,3,2,6,5,7,1,4]=>[4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]
[6,3,7,5,8,4,1,2]=>[2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]
[1,2,7,6,5,8,3,4]=>[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]
[4,8,2,6,1,5,3,7]=>[5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]
[4,3,6,2,5,1,8,7]=>[5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]
[7,8,1,2,5,6,3,4]=>[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]
[2,1,8,6,4,7,3,5]=>[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]
[3,1,6,4,7,2,5,8]=>[5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5,8]
[2,4,7,5,1,8,3,6]=>[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]
[5,6,8,1,3,2,4,7]=>[3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]
[6,8,5,1,3,4,2,7]=>[4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]=>[1,5,8,2,4,3,6,7]
[2,8,3,4,5,1,7,6]=>[5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]=>[1,5,2,3,8,4,6,7]
[1,3,7,4,8,2,5,6]=>[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[1,2,8,3,4,7,5,6]
[5,3,7,4,1,6,2,8]=>[6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5,8]
[2,4,7,1,6,5,3,8]=>[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]
[4,2,1,3,6,5,8,7]=>[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]
[2,8,1,4,5,6,3,7]=>[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]
[4,2,6,1,8,5,3,7]=>[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]=>[1,6,2,4,3,5,8,7]
[7,8,2,1,4,5,3,6]=>[5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]
[5,6,1,7,4,8,2,3]=>[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>[1,6,2,8,3,4,7,5]
[3,6,1,5,7,4,2,8]=>[7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]
[1,7,6,5,4,8,2,3]=>[1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]
[8,1,6,5,7,2,4,3]=>[4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]
[2,1,7,5,6,8,3,4]=>[2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]
[7,8,5,2,4,6,3,1]=>[6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]=>[1,3,6,2,5,8,4,7]
[7,8,1,6,2,4,5,3]=>[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]
[5,4,7,1,8,3,2,6]=>[6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]
[1,7,6,8,5,4,2,3]=>[1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]
[3,2,8,5,7,4,6,1]=>[6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]
[5,4,1,8,7,6,2,3]=>[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]
[5,8,6,7,4,3,2,1]=>[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]
[4,8,7,5,6,3,2,1]=>[6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]
[2,1,6,4,3,5,8,7]=>[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]
[2,6,1,4,3,5,8,7]=>[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]
[6,4,2,1,3,5,8,7]=>[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[1,2,4,6,3,5,7,8]
[4,6,2,1,8,3,5,7]=>[5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]
[2,1,6,4,3,8,5,7]=>[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]
[2,8,1,4,3,6,5,7]=>[4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]
[4,8,2,1,3,6,5,7]=>[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]
[2,8,1,4,6,3,5,7]=>[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]
[2,1,8,4,6,3,5,7]=>[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]
[2,6,4,1,8,3,5,7]=>[5,7,8,3,6,4,1,2]=>[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]
[2,6,4,8,1,3,5,7]=>[3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]=>[1,8,2,3,4,6,5,7]
[4,2,6,1,3,8,5,7]=>[3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]=>[1,6,2,4,3,5,8,7]
[4,2,6,1,8,3,5,7]=>[5,7,8,3,6,1,4,2]=>[2,4,1,6,3,8,7,5]=>[1,6,2,4,3,8,5,7]
[4,2,1,3,6,8,5,7]=>[3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]
[2,1,4,3,8,6,5,7]=>[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]
[2,4,1,3,8,6,5,7]=>[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]
[4,2,1,3,8,6,5,7]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]
[6,2,1,8,4,3,5,7]=>[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,8,5,7]
[2,4,1,8,3,6,5,7]=>[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]
[2,1,4,8,3,6,5,7]=>[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]
[4,2,8,6,1,3,5,7]=>[3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]
[6,2,8,4,1,3,5,7]=>[3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]=>[1,4,8,2,6,3,5,7]
[2,6,1,8,4,3,5,7]=>[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]
[2,1,8,6,4,3,5,7]=>[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]
[5,2,4,3,8,1,7,6]=>[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]
[4,3,6,1,5,2,8,7]=>[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]
[4,3,7,6,8,1,5,2]=>[5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]
[8,1,6,3,4,2,7,5]=>[4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]
[8,3,5,1,7,2,6,4]=>[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]
[8,2,7,1,5,3,6,4]=>[6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]
[3,2,8,1,5,4,7,6]=>[5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]
[3,2,6,5,8,1,7,4]=>[7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]
[6,5,7,2,4,3,8,1]=>[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]
[7,6,8,1,5,2,4,3]=>[4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]
[7,2,8,1,5,4,6,3]=>[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]
[2,1,6,5,8,3,7,4]=>[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]
[6,1,7,4,8,3,5,2]=>[5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]
[5,4,7,1,8,3,6,2]=>[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]
[2,4,8,3,5,7,6,1]=>[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]
[7,6,4,1,3,8,2,5]=>[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]
[2,7,4,6,3,1,8,5]=>[8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]=>[1,3,6,2,4,7,5,8]
[8,7,2,6,3,5,4,1]=>[5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]=>[1,4,5,2,7,8,3,6]
[1,7,8,5,2,6,4,3]=>[1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]=>[1,2,5,8,3,4,6,7]
[7,3,8,6,1,5,2,4]=>[4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]
[2,8,4,6,3,7,1,5]=>[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]=>[1,7,2,3,6,4,8,5]
[6,5,3,7,1,8,4,2]=>[8,4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]
[4,7,1,3,5,8,6,2]=>[8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]=>[1,7,2,6,8,3,4,5]
[3,8,1,2,5,7,6,4]=>[2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]=>[1,8,2,3,4,6,7,5]
[2,8,7,5,4,1,3,6]=>[3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]=>[1,4,5,7,8,2,3,6]
[3,8,6,7,4,2,1,5]=>[5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]
[2,6,7,5,4,8,1,3]=>[3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]
[5,7,3,6,1,2,8,4]=>[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]
[3,8,2,7,1,6,5,4]=>[6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]
[3,8,2,7,6,1,5,4]=>[5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]=>[1,6,7,2,8,3,4,5]
[4,8,7,2,6,1,5,3]=>[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>[1,6,2,7,8,3,5,4]
[4,8,7,2,1,6,5,3]=>[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>[1,2,7,8,3,5,6,4]
[4,8,7,3,2,1,6,5]=>[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]
[4,8,7,3,6,2,5,1]=>[5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]
[4,8,7,3,6,2,1,5]=>[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]
[7,3,4,2,1,6,5,8]=>[4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]
[7,3,5,1,6,4,2,8]=>[6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7,8]
[1,4,6,7,3,8,2,5]=>[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]
[3,2,1,5,7,4,8,6]=>[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]
[2,4,6,7,3,8,1,5]=>[5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]
[1,4,6,7,3,8,5,2]=>[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]
[5,3,6,1,7,8,4,2]=>[8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]
[5,4,6,7,1,8,3,2]=>[8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]
[5,3,6,2,7,8,4,1]=>[8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]=>[1,4,8,2,6,3,5,7]
[3,4,6,7,2,8,5,1]=>[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]
[4,3,6,1,7,8,2,5]=>[5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]
[2,4,1,6,3,8,5,10,7,9]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]
[3,7,8,4,5,2,6,1]=>[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]
[7,1,8,4,2,6,3,5]=>[5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>[1,7,2,4,8,3,6,5]
[7,2,8,4,1,6,5,3]=>[6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]=>[1,4,8,2,7,3,5,6]
[2,5,1,8,3,4,7,6]=>[4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]
[1,2,4,8,3,7,6,5]=>[1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]
[4,8,2,3,7,1,6,5]=>[6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>[1,7,2,8,3,4,5,6]
[6,3,8,1,5,2,4,7]=>[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]
[5,1,4,8,2,7,6,3]=>[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>[1,5,2,8,3,6,7,4]
[5,1,6,2,8,7,4,3]=>[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]
[4,1,5,8,2,7,6,3]=>[7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]=>[1,4,2,8,3,6,7,5]
[4,2,6,1,8,7,3,5]=>[5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]=>[1,6,2,4,3,7,8,5]
[3,5,2,8,7,1,4,6]=>[4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]
[3,4,8,1,2,7,6,5]=>[2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]
[3,1,4,2,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]
[7,8,2,1,5,3,6,4]=>[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]
[6,3,1,5,4,2,7,8]=>[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7,8]
[6,2,1,5,4,7,3,8]=>[7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5,8]
[5,3,6,1,4,7,8,2]=>[8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]
[4,1,8,2,6,3,5,7]=>[5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]
[4,7,6,8,3,5,1,2]=>[2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]
[2,7,6,5,8,1,3,4]=>[3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]
[6,3,2,1,7,4,8,5]=>[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]
[4,2,1,7,3,5,8,6]=>[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,5,6,8]
[8,2,5,1,3,7,6,4]=>[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]
[4,3,7,2,1,5,8,6]=>[5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]
[6,3,7,4,2,1,8,5]=>[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]=>[1,2,4,7,3,6,5,8]
[7,5,4,3,2,1,8,6]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[1,8,6,3,2,7,5,4]=>[1,7,5,4,8,6,3,2]=>[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]
[8,7,2,6,1,5,4,3]=>[5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]=>[1,6,2,7,8,3,4,5]
[3,6,5,8,1,4,2,7]=>[4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]=>[1,8,2,4,3,5,6,7]
[6,5,4,8,3,2,1,7]=>[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]
[4,3,6,8,2,1,5,7]=>[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]
[6,3,5,1,8,4,2,7]=>[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]
[6,5,2,1,7,8,3,4]=>[4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]
[6,3,1,8,4,7,5,2]=>[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]=>[1,3,6,2,5,7,4,8]
[5,7,3,8,1,6,4,2]=>[6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]
[6,4,7,8,1,5,3,2]=>[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]
[8,3,7,6,1,5,4,2]=>[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]
[4,3,8,7,6,2,1,5]=>[5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]
[2,4,8,7,6,1,3,5]=>[3,5,8,7,6,1,2,4]=>[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]
[4,7,3,8,6,5,1,2]=>[2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]
[7,5,8,6,4,3,2,1]=>[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]
[2,8,7,6,5,4,1,3]=>[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]
[3,7,5,8,2,4,1,6]=>[4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]=>[1,4,2,8,3,5,7,6]
[4,7,1,8,3,6,2,5]=>[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]
[7,5,3,8,1,4,2,6]=>[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]
[5,1,8,4,7,2,3,6]=>[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>[1,5,2,7,3,4,8,6]
[2,1,7,3,4,8,6,5]=>[2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]
[7,1,8,5,4,3,2,6]=>[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]
[7,8,2,6,3,4,1,5]=>[4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]
[7,6,2,8,3,1,4,5]=>[4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]=>[1,3,8,2,6,7,4,5]
[8,6,2,7,3,1,4,5]=>[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>[1,3,7,2,6,8,4,5]
[8,1,7,5,4,3,2,6]=>[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]
[7,4,6,1,5,2,3,8]=>[3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]
[7,1,4,2,6,3,5,8]=>[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]
[6,8,1,7,3,5,4,2]=>[5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>[1,8,2,4,5,3,7,6]
[2,1,6,3,8,5,4,7]=>[2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]
[2,5,3,8,7,1,6,4]=>[6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]=>[1,7,8,2,3,5,4,6]
[5,3,8,4,1,7,6,2]=>[7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]=>[1,4,8,2,6,7,3,5]
[4,1,8,7,6,5,3,2]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[4,3,8,7,6,5,1,2]=>[2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]
[6,3,1,8,7,2,5,4]=>[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,8,4,5]
[5,1,8,4,7,2,6,3]=>[6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]
[3,5,1,8,7,4,6,2]=>[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>[1,5,2,6,3,4,7,8]
[3,4,8,7,6,2,1,5]=>[5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]
[3,1,4,8,7,6,2,5]=>[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>[1,3,2,6,7,8,4,5]
[3,4,8,7,6,5,1,2]=>[2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]
[3,4,8,7,6,2,5,1]=>[5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]
[4,5,8,3,1,7,6,2]=>[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>[1,3,8,2,6,7,4,5]
[2,6,8,3,7,1,5,4]=>[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]
[6,8,3,7,4,1,5,2]=>[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]
[2,6,8,3,7,5,1,4]=>[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]
[8,2,7,1,4,6,3,5]=>[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]=>[1,7,2,8,3,6,4,5]
[8,5,4,7,1,6,2,3]=>[3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]
[8,5,1,4,7,2,6,3]=>[6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]
Map
invert Laguerre heap
Description
The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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