Some solutions for 3 X 3:
..0..1..2....2..1..1....0..2..2....0..2..0....2..0..1....1..0..1....2..0..0
..0..1..2....0..0..2....0..1..2....0..1..2....1..1..1....1..1..2....0..2..1
..0..2..2....2..2..1....0..2..0....1..1..2....2..1..1....0..2..0....0..2..0
...
...M..P.......M..E.......M..P.......M..P.......E..M.......M..E.......E..M...
...M..P.......E..P.......M..P.......M..P.......P..E.......E..P.......E..P...
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