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