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