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