(Harbor management) How many piers does a harbor master need for accommodating six

Chapter 23, Problem 23.1.149

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(Harbor management) How many piers does a harbor master need for accommodating six cruise ships 51, "', 56 with expected dates of arrival A and departure D in July, (A, D) = (10, 13), (13, 15), (14, 17), (\2, 15), (16, 18), (\4, 17), respectively, if each pier can accommodate only one ship, arrival being at 6 a:m and departures at 11 p:m? Hint. Join 5i and 5j by an edge if their intervals overlap. Then color vertices.

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