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