Question: Consider n activities {a; }}=1. Each activity a has a starting time a.start, an ending time a.end, and an award a reward. (1) Design a

 Consider n activities {a; }}=1. Each activity a has a starting

Consider n activities {a; }}=1. Each activity a has a starting time a.start, an ending time a.end, and an award a reward. (1) Design a dynamic programming algorithm to find a subset of non-conflicting ac- tivities such that their total rewards are maximized. Two activities conflict when one's starting time is earlier than the other's ending time. (2) Analyze the complexity of the algorithm

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