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