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