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