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