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