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