Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..1....2..1..2....1..1..2....0..0..0....1..1..3....1..0..2....1..1..3
..0..0..2....3..2..2....2..1..2....3..0..3....1..0..3....2..0..1....1..0..3
..2..0..2....3..1..3....1..1..3....2..3..2....0..0..3....0..0..0....2..0..0
..2..2..3....3..1..1....3..1..1....2..2..2....0..0..1....0..0..1....3..0..0
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