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