Some solutions for n=2
..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2
..3....3....3....3....3....3....3....3....3....3....3....3....3....3....3....3
..4....4....4....4....4....4....4....4....4....1....4....1....4....4....4....4
..5....5....5....1....5....5....5....5....5....4....5....4....5....1....5....1
..6....6....6....2....1....6....6....6....6....5....6....5....6....5....6....2
..2....2....1....5....6....7....3....7....7....2....4....6....4....6....4....5
..7....4....7....6....5....5....7....4....1....6....7....7....5....3....7....6
..4....1....3....4....7....6....4....1....3....7....5....3....7....7....6....3
..3....6....4....5....3....4....6....6....5....4....3....2....1....2....2....7
..5....7....6....7....2....3....5....3....2....5....7....7....6....6....1....4
..6....5....7....6....6....1....1....2....7....7....2....5....3....5....3....5
..1....3....5....3....4....7....7....5....6....3....1....4....2....7....5....7
..7....7....2....7....7....2....2....7....4....6....6....6....7....4....7....6
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