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