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