### Question: Which one of the following statements is wrong?1. **Merge sort takes O(n log n) to finish in the worst case.**2. **Quick sort has the worst case when it always splits the array in the middle.** (Incorrect)3. **Quick sort is in-place.**4. **Quick sort has a worst-case efficiency of O(n^2).**#### Explanation:- **Merge sort takes O(n log n) to finish in the worst case:** This is correct; merge sort consistently performs at O(n log n) due to its divide-and-conquer approach. - **Quick sort has the worst case when it always splits the array in the middle:** This statement is incorrect. Quick sort has the best case scenario, not the worst case, when it splits the array in the middle. The worst case occurs when the smallest or largest element is always chosen as the pivot, resulting in O(n^2) complexity. - **Quick sort is in-place:** This statement is correct. Quick sort is an in-place sorting algorithm as it requires only a small amount of additional storage space. - **Quick sort has a worst-case efficiency of O(n^2):** This statement is correct. Quick sort can degrade to O(n^2) time complexity in the worst case when bad pivot choices produce unbalanced partitions.### Explanation of Graphs or Diagrams:There are no graphs or diagrams in this question. The content is entirely textual with multiple-choice options. The incorrect statement among the given options has been identified and explained.

Which one of the following statements is wrong? O Merge sort takes O(nlogn) to finish in the worst case. O Quick sort has the worst case when it always split the array in the middle. Quick sort is in-place O Quick sort has a worst case efficiency of O (n²)

Which one of the following statements is wrong? O Merge sort takes O(nlogn) to finish in the worst case. O Quick sort has the worst case when it always split the array in the middle. Quick sort is in-place O Quick sort has a worst case efficiency of O (n²)

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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