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