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