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