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