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