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This lecture provides an in-depth exploration of NP-completeness, crucial for understanding computational complexity. We'll begin by defining NP-completeness and contrasting tractable and intractable problems. Complexity classes such as P, NP, and NP-Complete will be demystified, emphasizing their role in classifying problem difficulty. The lecture will highlight the significance of NP-completeness in evidencing intractability and its implications on optimization and problem-solving. We'll...