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