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