Some solutions for n=4
..3..1..3..0....0..3..3..0....0..0..1..2....1..1..3..2....1..0..0..0
..1..1..0..0....1..0..1..2....3..3..0..3....0..0..1..1....0..3..3..2
..3..2..3..2....1..1..0..3....3..3..3..1....2..1..1..1....1..1..0..0
..2..2..1..1....1..1..3..2....0..2..1..1....1..1..1..2....1..1..3..1
..2..2..1..1....1..2..0..0....3..3..3..2....0..3..0..0....1..3..0..1
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