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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?

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