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