Answered: Show how quicksort can be made to run…

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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Show how quicksort can be made to run in O(nlogn) time in the worst case. Assume the input array is A[0:n-1] and all elements in A are distinct. Write your answer as pseudo-code and use plain language to explain the idea of your algorithm. (Hint: you can use any algorithm helper functions in parts of the designed algorithm. If you use an algorithm, you can directly call the function name in the pseudo-code without expanding the details of the helper function, as long as you clearly explain the meaning of the helper function.)

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Step 1

QuickSort

Sorting is the systematic arrangement of objects.
The popular sorting algorithm known as Quicksort sorts an array of n elements with an average of n log n comparisons.
It is a sorting algorithm that is both quick and very effective.
This program employs the strategy of "divide and conquer." The divide and conquer method entails breaking down the algorithms into smaller problems, resolving those smaller problems, and then merging the solutions to solve the larger problem.

Divide

Choose a pivot element first in Divide.
The array should then be divided or rearranged into two sub-arrays with each element in the left sub-array being smaller than or equal to the pivot element and each element in the right sub-array being greater than the pivot element.

Conquer

Use Quicksort to recursively sort two subarrays.

Combine: Merge the sorted array.

To act as its pivot, Quicksort chooses a few elements, then divides the supplied array around it. Quick sort divides a huge array into two arrays, one of which contains values that are less than the pivot value and the other of which contains values that are greater than the pivot.
Subsequently, the same method is used to partition the left and right sub-arrays.
It will keep going until there is just one element left in the sub-array.

Pseudocode

Pseudocode is nothing but a method that enables the programmer to depict how an algorithm is implemented.
It is the fabricated representation of an algorithm, to put it simply.
Pseudo-codes are frequently used to depict algorithms because they may be understood by programmers with any level of programming experience.
The term pseudo code refers to a bogus code or a representation of code that even a layperson with a basic programming understanding can understand.

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