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