Some solutions for 4X4
..3..3..3..3....3..0..3..3....2..3..2..3....0..3..0..3....2..2..1..2
..2..3..2..3....1..3..0..3....0..1..0..1....3..0..3..1....1..0..1..0
..1..0..1..0....3..0..3..1....2..1..2..1....0..3..0..3....2..2..2..2
..1..3..0..3....3..3..0..3....0..1..0..1....3..3..3..1....3..2..3..2
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