Some solutions for n=1
..1....2....1....0....0....0....0....2....1....0....2....2....0....0....2....0
..0....1....1....0....2....2....3....1....1....0....0....1....2....3....1....2
..3....2....5....3....5....2....6....0....2....1....5....6....2....5....1....0
..1....2....5....0....1....5....1....1....1....4....1....3....1....2....6....3
..2....6....3....6....4....6....0....3....4....1....6....6....0....5....4....1
..6....1....2....2....6....6....2....2....5....5....3....3....5....4....0....3
..6....0....4....3....5....6....4....3....4....0....6....1....6....2....3....5
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