**Exercise: Match Appropriate Worst Case Time Complexities**Below are various algorithms. Your task is to match each algorithm with its correct worst-case time complexity. Use the dropdowns to select the correct option for each.1. **Selection Sort** - [ Choose ]2. **Merge Sort** - [ Choose ]3. **Quick Sort** - [ Choose ]4. **Binary Search** - [ Choose ] Options: - O(logN) - O(NlogN) - O(N^2)**Instructions:**- Selection Sort typically has a worst-case time complexity of O(N^2).- Merge Sort's worst-case time complexity is O(NlogN).- Quick Sort, in the worst case, can take O(N^2) time, though its average case is O(NlogN).- Binary Search has a worst-case time complexity of O(logN).

Answered: Match appropriate worst case time…

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

Problem 1PE

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**Exercise: Match Appropriate Worst Case Time Complexities**

Below are various algorithms. Your task is to match each algorithm with its correct worst-case time complexity. Use the dropdowns to select the correct option for each.

1. **Selection Sort**
- [ Choose ]

2. **Merge Sort**
- [ Choose ]

3. **Quick Sort**
- [ Choose ]

4. **Binary Search**
- [ Choose ]
Options:
- O(logN)
- O(NlogN)
- O(N^2)

**Instructions:**
- Selection Sort typically has a worst-case time complexity of O(N^2).
- Merge Sort's worst-case time complexity is O(NlogN).
- Quick Sort, in the worst case, can take O(N^2) time, though its average case is O(NlogN).
- Binary Search has a worst-case time complexity of O(logN).

Expert Solution

Step 1: Introduce worst-case time complexity:

Worst-case time complexity is a measure of an algorithm's maximum running time under the least favorable conditions. It represents the upper bound on the number of basic operations an algorithm could perform when given a specific input. It is a crucial metric for understanding an algorithm's performance in the worst possible scenario.

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