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