Correct Answer (Detailed Explanation is Below)
A.
P = NP
Detailed Explanation
If any
NP-Complete problem is solved by a polynomial-time algorithm, then
P = NP. This follows because every problem in NP can be polynomially reduced to an NP-Complete problem. Therefore, a polynomial-time algorithm for one NP-Complete problem could be used, together with the reduction, to solve every problem in NP in polynomial time. This is one of the central consequences of NP-Completeness and explains why finding an efficient algorithm for an NP-Complete problem would be a major theoretical result.