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