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