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