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