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