Some solutions for 3 X 5:
..2..0..2..0..1....0..0..2..1..2....2..0..1..2..2....1..0..1..2..2
..0..0..2..1..0....1..0..1..2..2....0..0..1..0..1....0..0..1..2..1
..2..2..0..2..1....2..0..2..2..0....1..2..2..2..1....2..0..0..2..0
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...E..E..P..E.......M..M..P..P.......M..P..P..E.......M..M..P..P...
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