Application of Divide & Conquer in Merge Sort
Merge Sort is a divide-and-conquer sorting algorithm that recursively divides an array into two halves, sorts each half, and then merges them to produce a sorted array.
Algorithm Steps:
- Divide the unsorted array into two halves.
- Recursively apply Merge Sort to each half.
- Merge the sorted halves to produce a sorted array.
Time Complexity:
- Worst Case: O(n log n)
- Best Case: O(n log n)
- Average Case: O(n log n)
Space Complexity: O(n), additional space for the temporary array used in the merge step.
Divide and Conquer Notes for GATE Exam [2024]
Those preparing for the GATE (Graduate Aptitude Test in Engineering) exam in 2024 face many algorithmic challenges. Among the various algorithmic paradigms, “Divide and Conquer” stands out as a powerful approach to problem-solving. In this comprehensive guide for the GATE Exam, Divide and Conquer, and its applications will be explored through a range of important topics. These notes aim to provide a solid foundation for mastering these concepts in preparation for the upcoming GATE exam.
Table of Content
- Introduction to Divide and Conquer
- Application of Divide & Conquer in Binary Search
- Application of Divide & Conquer in Merge Sort
- Application of Divide & Conquer in Quick Sort
- Standard Problems that uses Divide and Conquer Algorithm
- Advantages of Divide and Conquer Algorithm
- Disadvantages of Divide and Conquer Algorithm
- Previously Asked GATE Questions on Divide and Conquer
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