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