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Which sorting algorithm is a divide and conquer recursive algorithm? O Radix sort O Insertion sort O Selection sort O Bubble sort O Merge sort O Heap sort

Which sorting algorithm is a divide and conquer recursive algorithm? O Radix sort O Insertion sort O Selection sort O Bubble sort O Merge sort O Heap sort

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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### Quiz Question: **Which sorting algorithm is a divide and conquer recursive algorithm?** #### Options: - Radix sort - Insertion sort - Selection sort - Bubble sort - Merge sort - Heap sort **Explanation:** Divide and conquer is a key algorithm design paradigm that works by recursively breaking a problem down into smaller subproblems of the same type, solving them independently, and then combining their solutions to solve the original problem. Sorting algorithms that utilize this approach often break the dataset into smaller segments, sort them individually, and then merge or combine the sorted segments. **Interactive Content:** (Click to reveal answer) - The correct answer is **Merge sort**. Merge sort is a classic example of a divide and conquer algorithm. - Radix sort, Insertion sort, Selection sort, Bubble sort, and Heap sort do not follow the divide and conquer approach throughout their algorithmic steps. **Additional Information:** 1. **Radix Sort**: This algorithm sorts numbers by processing individual digits, often not leveraging recursion. 2. **Insertion Sort**: Works by taking one element from the input data per iteration, inserting it at the correct position in the sorted list. It's an iterative algorithm. 3. **Selection Sort**: Repeatedly selects the smallest remaining element and moves it to the beginning. It's also an iterative process. 4. **Bubble Sort**: Swaps adjacent elements if they are in the wrong order, repeatedly across the list. 5. **Heap Sort**: Utilizes a binary heap data structure and involves a series of swaps to sort the list, not inherently using the divide and conquer strategy. Merge sort divides the dataset into halves, applies sorting recursively to each half, and then merges the sorted halves to produce a completely sorted list. This recursive approach effectively exemplifies the divide and conquer strategy.
Transcribed Image Text:### Quiz Question: **Which sorting algorithm is a divide and conquer recursive algorithm?** #### Options: - Radix sort - Insertion sort - Selection sort - Bubble sort - Merge sort - Heap sort **Explanation:** Divide and conquer is a key algorithm design paradigm that works by recursively breaking a problem down into smaller subproblems of the same type, solving them independently, and then combining their solutions to solve the original problem. Sorting algorithms that utilize this approach often break the dataset into smaller segments, sort them individually, and then merge or combine the sorted segments. **Interactive Content:** (Click to reveal answer) - The correct answer is **Merge sort**. Merge sort is a classic example of a divide and conquer algorithm. - Radix sort, Insertion sort, Selection sort, Bubble sort, and Heap sort do not follow the divide and conquer approach throughout their algorithmic steps. **Additional Information:** 1. **Radix Sort**: This algorithm sorts numbers by processing individual digits, often not leveraging recursion. 2. **Insertion Sort**: Works by taking one element from the input data per iteration, inserting it at the correct position in the sorted list. It's an iterative algorithm. 3. **Selection Sort**: Repeatedly selects the smallest remaining element and moves it to the beginning. It's also an iterative process. 4. **Bubble Sort**: Swaps adjacent elements if they are in the wrong order, repeatedly across the list. 5. **Heap Sort**: Utilizes a binary heap data structure and involves a series of swaps to sort the list, not inherently using the divide and conquer strategy. Merge sort divides the dataset into halves, applies sorting recursively to each half, and then merges the sorted halves to produce a completely sorted list. This recursive approach effectively exemplifies the divide and conquer strategy.
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