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