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