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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