Some solutions for 3 X 3:
..2..2..0....1..0..3....1..2..0....0..0..2....2..1..3....0..1..0....2..3..3
..2..1..1....2..2..3....0..1..1....3..2..1....3..3..1....1..0..1....3..3..2
..3..3..3....3..0..2....1..3..0....3..2..3....3..1..3....0..1..2....2..3..1
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