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