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