What is the time complexity of merge sort in the worst case?
Understand the Problem
The question is asking for the worst-case time complexity of the merge sort algorithm, which is a sorting technique that divides the input array into smaller parts, sorts them, and merges them back together. The worst-case scenario occurs when the array is already sorted or in reverse order, and we need to examine how many comparisons and merges are made during this process.
Answer
O(n log n)
The final answer is O(n log n)
Answer for screen readers
The final answer is O(n log n)
More Information
Merge Sort consistently demonstrates O(n log n) time complexity due to its divide-and-conquer strategy, dividing the dataset into smaller subsets recursively and merging them in linear time.
Sources
- The web page with info on - AlmaBetter - almabetter.com
- Time and Space Complexity Analysis of Merge Sort - GeeksforGeeks - geeksforgeeks.org
- What is the Time Complexity of Merge Sort? - Scaler Topics - scaler.com
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