The answer
Merge Sort always divides and merges the array completely, regardless of the data arrangement. Its best case (Big Omega) is Ω(N log N).
Big O vs Big Omega vs Big Theta Explained
What is the Big Omega of Merge Sort?
More FAQs in Big O vs Big Omega vs Big Theta Explained
Big O defines the absolute upper limit (worst-case), meaning the algorithm could be faster. Big Theta defines a tight bound, meaning the algorithm's best and worst cases scale identically.
Engineers prioritize system stability. By focusing exclusively on the worst-case upper bound (Big O), they guarantee that servers will not crash under maximum load.
Yes. If an algorithm takes exactly N steps (Theta), then it mathematically also takes 'at most' N steps (Big O).
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