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