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