Some solutions for 3 X 6:
..0..0..1..3..0..3....0..0..1..2..1..2....0..0..0..3..1..3....0..0..2..2..1..2
..0..0..0..3..2..3....0..0..0..3..3..2....0..0..0..3..3..3....0..0..0..3..2..2
..0..0..0..1..3..3....0..0..0..3..3..2....0..0..1..2..2..2....0..0..0..2..2..3
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...M..M..M..P..P.......M..M..E..P..P.......M..M..E..P..P.......M..M..M..P..P...
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