This looks like a textbook question until they ask the follow-up about nearly sorted data and you realize you picked quicksort as your lead example.
Pick a well-known algorithm like merge sort or quicksort, explain its mechanics clearly, then systematically cover its time and space complexities and stability. Finally, adapt your choice for the three scenarios: nearly sorted (insertion sort), many duplicates (3-way quicksort), and huge data (external merge sort).
Pro tip: Always tie your algorithm choice to the specific constraints and trade-offs of the scenario; interviewers value practical reasoning over textbook recitation.
Select a sorting algorithm (e.g., merge sort) and describe its high-level approach without code, focusing on the core idea and steps.
State the average, worst, and best case time complexities, space complexity, and whether the algorithm is stable, explaining why.
Discuss how the choice changes for nearly sorted input, such as using insertion sort for its O(n) best-case performance.
Explain how to handle lots of duplicates, e.g., using 3-way quicksort to achieve O(n) performance when duplicates are prevalent.
Describe external sorting techniques like external merge sort, which sorts chunks in memory and merges them on disk.
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