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