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