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Posted: December 15th, 2023
(1) If Y ∈ NP-COMPLETE, X ∈ NP, and X ≤P Y, then X in NP-COMPLETE.
(2) Is it possible that P = NP and NP = EXP?
(3) Is it possible that both NP = PSPACE?
(4) For some NP-hard problems, a constant approximation solution is not possible.
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