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