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