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