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