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