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