(Greedy Algorithms) Suppose you are given n tasks j={j1,j2,...jn}.Each task jl has two parts -a preprocessing phase which takes pl unites and a main phase which takes fl  units of time. There are n machines that can esecute the main phase of the jobs in parallel. However, the preprocessing phases need to be execute sequentially on a special machine. The completion time of any schedule is the earliest time when all tasks have finished execution. Design a greedy algorithm which produces a schedule the minimizes the completion time. Here, you need to give formal proof of correctness

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