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