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..2....0..0..0....0..0..0....0..0..2....0..0..2....0..0..2....0..0..0
..0..0..2....1..0..2....0..0..0....2..1..1....0..0..1....0..0..0....0..0..1
..2..0..0....2..2..3....1..0..0....1..1..1....1..1..2....0..0..0....0..0..0
..0..0..0....2..2..1....1..0..0....1..1..1....2..2..3....0..0..3....0..0..3
..0..0..0....1..1..1....2..0..1....1..1..1....3..1..1....2..1..1....0..0..3
..0..3..3....1..3..3....3..1..1....1..2..3....3..1..2....2..0..0....1..1..2
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