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You are given a set of n jobs such that job i has processing time t and a weight wi representing its importance. Design an

You are given a set of n jobs such that job i has processing time t and a weight wi representing its importance. Design an efficient algorithm to schedule all the jobs on a single machine so as to minimize the weighted sum of the finishing times, =1 Wifi where fi denotes the finishing time of job i. Prove the correctness of your algorithm

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