Question: Algorithm 5. Consider the single machine scheduling problem where we are given a set T of tasks specified by their start times and finish times,

Algorithm 5. Consider the single machine scheduling problem where we are

Algorithm

5. Consider the single machine scheduling problem where we are given a set T of tasks specified by their start times and finish times, as in the task scheduling problem, except now we have only one machine and we wish to maximize the number of tasks that this single machine performs. (a) (7 points) Design a greedy algorithm for this single machine scheduling problem. What is the running time of your algorithm? b) (3 points) Prove the correctness of your algorithm. 5. Consider the single machine scheduling problem where we are given a set T of tasks specified by their start times and finish times, as in the task scheduling problem, except now we have only one machine and we wish to maximize the number of tasks that this single machine performs. (a) (7 points) Design a greedy algorithm for this single machine scheduling problem. What is the running time of your algorithm? b) (3 points) Prove the correctness of your algorithm

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