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