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