Some solutions for 3 X 4:
..1..2..0..1....2..0..2..2....1..2..0..2....0..0..1..2....1..2..2..2
..0..2..0..0....0..0..2..1....0..0..2..1....0..2..1..0....1..0..1..1
..2..0..2..2....0..1..1..1....1..0..2..0....1..1..2..1....0..0..1..1
...
...P..E..M.......M..E..P.......M..E..P.......M..E..E.......E..P..P...
...E..E..E.......M..E..P.......M..E..P.......E..P..E.......M..M..E...
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