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If a deterministic polynomial algorithm is found for any NP-complete problem, then it must be the case that P + NP. O True Fa

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Question:
if a deterministic algorithm is found for any NP-complete problem, then it must be the case that P ≠ NP
Ans: False

The theorem says that: If any NP-complete problem can be solved by a deterministic polynomial-time algorithm, then it should be P=NP. if not solved by a deterministic polynomial-time algorithm then it should be P ≠ NP.
In our case, We have found a deterministic algorithm to solve the NP-complete problem, then it must be P=NP but not P ≠ NP.

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