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