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