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