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This lecture offers an in-depth exploration of computational complexity, beginning with polynomial-time algorithms and their implications for tractable versus intractable issues. Delve into the intricate world of NP-complete problems, examining the pivotal P vs. NP question and its significance. We will delineate complexity classes such as P and NP, and utilize techniques for proving NP-completeness through problem reductions. Discover the implications for real-world problem-solving,...