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