L R | L R
-----------
 0 0 | 0 2
 0 1 | 2 2
 0 2 | 1 2
 1 0 | 1 2
 1 1 | 0 0
 1 2 | 2 1
 2 0 | 2 2
 2 1 | 1 1
 2 2 | 0 0