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