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