ven a set of jobs {J1, ... , Jn}, each job Ji = < ti, wi > has a required processing time ti and a weight wi. Design an efficient algorithm (pseudo code) to minimize the weighted sum of overall completion times ∑ni=1wiCi, where Ci  is the completion time of job i. What is the time complexity of your algorithm? Note: You first need to briefly explain your ideas to solve the problem, e.g. what data structures are used, how the intermediate results are saved, which sorting strategy is used, and why the final results are correct;

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