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Quicksort is a powerful divide-and-conquer sorting algorithm that almost always runs in O(nlogn) time,though it can run in O(n^2) time for certain input arrays, depending on how we choose the pivot. For this question assume that the pivot isalwaysthe last (right-most) element of the input array.There are two main ways that we can code the PARTITION procedure: the Lomuto method and the Hoare method. Question: Clearly explain how the two partition methods work – the Lomuto method and the Hoare method, and how they are different. Finally apply both methods to partition the arrayA= [2, 8, 7, 1, 3, 5, 6, 4], using the pivot A[8] = 4.

Quicksort is a powerful divide-and-conquer sorting algorithm that almost always runs in O(nlogn) time,though it can run in O(n^2) time for certain input arrays, depending on how we choose the pivot. For this question assume that the pivot isalwaysthe last (right-most) element of the input array.There are two main ways that we can code the PARTITION procedure: the Lomuto method and the Hoare method. Question: Clearly explain how the two partition methods work – the Lomuto method and the Hoare method, and how they are different. Finally apply both methods to partition the arrayA= [2, 8, 7, 1, 3, 5, 6, 4], using the pivot A[8] = 4.

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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Quicksort is a powerful divide-and-conquer sorting algorithm that almost always runs in O(nlogn) time,though it can run in O(n^2) time for certain input arrays, depending on how we choose the pivot. For this question assume that the pivot isalwaysthe last (right-most) element of the input array.There are two main ways that we can code the PARTITION procedure: the Lomuto method and the Hoare method.

Question:

  • Clearly explain how the two partition methods work – the Lomuto method and the Hoare method, and how they are different. Finally apply both methods to partition the arrayA= [2, 8, 7, 1, 3, 5, 6, 4], using the pivot A[8] = 4.
Expert Solution
Step 1

Quick sort is used to sort elements. It has two methods for partitioning. Lomuto's method and Hoare's method. The details are given in step 2.

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