Some solutions for n=4
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..1..3..0....3..0..3....2..3..0....1..3..0....2..3..1....1..2..1....1..2..3
..2..1..3....2..1..0....3..2..1....3..2..3....0..2..3....3..0..3....2..3..0
..3..0..2....1..3..2....1..3..0....2..0..1....3..1..0....2..3..0....3..0..1
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