How many piers does a harbor master need for accommodating six cruise ships S_{1}, · · ·, S_{6} with expected dates of arrival A and departure D in July, (A, D) = (10, 13), (13, 15), (16, 18), (14, 17), (12, 15), (16, 18), (14, 17), respectively, if each pier can accommodate only one ship, arrival being at 6 am and departures at 11 pm? Join S_{i} and S_{j} by an edge if their intervals overlap. Then color vertices.

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