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