Correct Answer: Correct answer is: (C) Merge sort.
Exam Relevance: CS101, Data Structures, Algorithms
Difficulty: Moderate
Concept notes: Merge sort is a divide-and-conquer algorithm that recursively divides the input array into two halves, sorts each half, and then merges the sorted halves back together.
Common Mistakes: Students may confuse merge sort with quick sort, which also uses a divide-and-conquer approach but does not necessarily divide the array into equal halves and sorts in place.
Explanations: Merge sort works by dividing the array into two halves, sorting each half recursively, and then merging the two sorted halves. This process is repeated until the entire array is sorted. The key steps are the division of the array into smaller subarrays, the sorting of these subarrays, and the merging of the sorted subarrays back into a single sorted array.
Option Analysis: - Option A: Quick sort does not divide the array into equal halves and sorts in place, which is different from the divide-and-conquer approach of merge sort.
- Option B: Fast sort is not a standard term for a sorting algorithm.
- Option C: Merge sort correctly describes the divide-and-conquer approach of dividing the array into smaller groups, sorting them, and then merging them back together.
- Option D: Bubble sort does not use a divide-and-conquer approach; it repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.
Mnemonic: Divide, Conquer, Merge
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