Question: Show how to implement GREEDY - SET - COVER approximation algorithm in such a way that it runs in time O ( sum _

Show how to implement GREEDY-SET-COVER approximation algorithm in such a way that it runs in time O(\sum_{\mathrm{S\in\mathcal{F}}}\left|\mathrm{S}\right|).
Prove that your implementation indeed has the specified time complexity.

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