Question: How can the complexity of the best - known algorithm for solving the k - SAT problem, a well - known NP - complete problem,

How can the complexity of the best-known algorithm for solving the k-SAT problem, a well-known NP-complete problem, be improved to a polynomial-time solution, and what are the implications for the P vs NP problem if such a solution is found?
How can the complexity of the best-known algorithm for solving the

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