The last paragraph of Section 17.2.3 discusses a strategy for developing a solution to a new problem

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The last paragraph of Section 17.2.3 discusses a strategy for developing a solution to a new problem by alternating between finding a polynomial time solution and proving the problem \(\mathcal{N P}\)-complete. Refine the "algorithm for designing algorithms" from Section 15.1 to incorporate identifying and dealing with \(\mathcal{N} \mathcal{P}\)-complete problems.

17.2.3 Coping with NP-Complete Problems Finding that your problem is NP-complete might not mean that you can

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