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