The answer
Yes, heavily. In Insertion Sort, if the array is already sorted, the best case is Ω(N). If it is reverse sorted, the worst case is O(N^2).
Big O vs Big Omega vs Big Theta Explained
Can the Best Case and Worst Case be different?
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.
Merge Sort always divides and merges the array completely, regardless of the data arrangement. Its best case (Big Omega) is Ω(N log N).
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