Question: Please type your answer, Thanks! Problem 1. (40 points) Let 11-12 , In be a set of closed intervals on the real line, with 1,-ai,

Please type your answer, Thanks! Problem 1. (40 points) Let 11-12

Please type your answer, Thanks!

Problem 1. (40 points) Let 11-12 , In be a set of closed intervals on the real line, with 1,-ai, bij. Design an efficient greedy algorithm to compute the smallest set S of points such that each interval contains at least one point. Analyze the time complexity of your algorithm and prove that it always produces the optimal solution

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