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