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