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Which of the following algorithm design approach is used in Quick sort algorithm?
Question



Which of the following algorithm design approach is used in Quick sort algorithm?

A.

Dynamic programming

B.

Back Tracking

C.

Divide and conquer

D.

Greedy approach

Correct option is C


The Quick Sort algorithm uses the Divide and Conquer approach to sort elements. It divides the input array into smaller subarrays, conquers them by recursively sorting, and combines the results to achieve a sorted array.
Information Booster
1. Divide and Conquer:
· Divide: The array is partitioned into two subarrays based on a pivot element such that elements on the left are smaller, and elements on the right are greater than the pivot.
· Conquer: Each subarray is sorted recursively using the same logic.
· Combine: The sorted subarrays are merged (implicitly).
2. Pivot Selection: The pivot can be chosen as the first element, last element, middle element, or randomly.
3. Efficiency:
· Best and Average Case: This occurs when the pivot divides the array into nearly equal halves.
· Worst Case: This occurs when the pivot is the smallest or largest element.
4. In-Place Sorting: Quick Sort does not require additional storage for merging, making it memory-efficient.
5. Applications: Widely used due to its efficiency and simplicity in sorting large datasets.
Additional Knowledge
· Dynamic Programming: Used for problems like matrix chain multiplication and longest common subsequence.
· Backtracking: Used in algorithms like N-Queens and solving mazes.
· Greedy Approach: Used for optimization problems like Huffman coding and Kruskal’s algorithm.

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