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