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| Section | Objectives |
|---|---|
| Programming Foundations | - Language Concepts Overview
|
| Data & Security Basics | - Data Handling
|
| Operating Systems & Architecture | - OS Fundamentals
|
| Computer Science Fundamentals | - Data Structures Introduction
|
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NEW QUESTION # 46
What is the time complexity of a quicksort algorithm?
Answer: D
Explanation:
Quicksort is a divide-and-conquer sorting algorithm. It works by selecting a pivot element, partitioning the array into two subarrays (elements less than the pivot and elements greater than the pivot), and then recursively sorting those subarrays. In the average case, the partition step splits the array into roughly equal halves, so the recurrence is commonly written as (T(n) = T(n/2) + T(n/2) + O(n)), where (O(n)) is the cost of partitioning. This solves to (O(n \log n)), which is why quicksort is widely taught as an efficient general- purpose sorting method.
However, textbooks also emphasize that quicksort has a worst-case time complexity of (O(n
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