Write a program to sort an array of random elements using quicksort as follows: 1. Sort the arrays using pivot as the first element of the array 2. Sort the arrays using pivot as the median of the first, last, and middle elements of the array 3. Sort the arrays using pivot as the first element of the array. However., when the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. 4. Sort the array using pivot as the median of the first, last and middle elements of the array. When the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. 5. Calculate and display the CPU time for each of the preceding four steps. Example of the median of the first, last and middle elements: 123456780 (median of 1, 5, 0 is 1) 801234567 (median of 8, 3, 7 is 7) To calculate the CPU time, use the header , and clock_t type. You need to cast the duration to float and divide it by CLOCKS_PER_SEC. Depends on the CPU of your computer, your outputs would not be the same as in the sample output below.

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
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Objectives - Apply Quick sort and Insertion sort algorithms
Write a program to sort an array of random elements using quicksort as follows:
1. Sort the arrays using pivot as the first element of the array
2. Sort the arrays using pivot as the median of the first, last, and middle elements of the array
3. Sort the arrays using pivot as the first element of the array. However, when the size of any sub-list reduces to less than 20, sort the sub-list using insertion
sort.
4. Sort the array using pivot as the median of the first, last and middle elements of the array. When the size of any sub-list reduces to less than 20, sort the
sub-list using insertion sort.
5. Calculate and display the CPU time for each of the preceding four steps.
Example of the median of the first, last and middle elements:
123456780 (median of 1, 5, 0 is 1)
801234567 (median of 8, 3, 7 is 7)
To calculate the CPU time, use the header <ctime>, and clock_t type. You need to cast the duration to float and divide it by CLOCKS_PER_SEC. Depends on
the CPU of your computer, your outputs would not be the
ame as in the sample output below.
Sample Output:
Enter array size: 100000
Quick sort time, with pivot as the first element: e.e39
Quick sort time, with pivot median element: e.e35
Quick sort and insertion sort time, with pivot as the first element: e.e34
Quick sort and insertion sort time, with pivot median element: e.e34
Would you 1ike to enter another array size (y/n) y
Enter array size: 3000ee
Quick sort time, with pivot as the first element: e.111
Quick sort time, with pivot median element: e.1es
Quick sort and insertion sort time, with pivot as the first elenent: e.107
Quick sort and insertion sort time, wdth pivot median element: e.10s
Mould you 1ike to enter another array size (y/n) y
seeeee
Enter array size:
Quick sort time, with pivot as the first element: e.187
Quick sort tine, with pivot median elenent: e.186
Quick sort and insertion sort time, with pivot as the firstelement: e.194
Transcribed Image Text:19 Objectives - Apply Quick sort and Insertion sort algorithms Write a program to sort an array of random elements using quicksort as follows: 1. Sort the arrays using pivot as the first element of the array 2. Sort the arrays using pivot as the median of the first, last, and middle elements of the array 3. Sort the arrays using pivot as the first element of the array. However, when the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. 4. Sort the array using pivot as the median of the first, last and middle elements of the array. When the size of any sub-list reduces to less than 20, sort the sub-list using insertion sort. 5. Calculate and display the CPU time for each of the preceding four steps. Example of the median of the first, last and middle elements: 123456780 (median of 1, 5, 0 is 1) 801234567 (median of 8, 3, 7 is 7) To calculate the CPU time, use the header <ctime>, and clock_t type. You need to cast the duration to float and divide it by CLOCKS_PER_SEC. Depends on the CPU of your computer, your outputs would not be the ame as in the sample output below. Sample Output: Enter array size: 100000 Quick sort time, with pivot as the first element: e.e39 Quick sort time, with pivot median element: e.e35 Quick sort and insertion sort time, with pivot as the first element: e.e34 Quick sort and insertion sort time, with pivot median element: e.e34 Would you 1ike to enter another array size (y/n) y Enter array size: 3000ee Quick sort time, with pivot as the first element: e.111 Quick sort time, with pivot median element: e.1es Quick sort and insertion sort time, with pivot as the first elenent: e.107 Quick sort and insertion sort time, wdth pivot median element: e.10s Mould you 1ike to enter another array size (y/n) y seeeee Enter array size: Quick sort time, with pivot as the first element: e.187 Quick sort tine, with pivot median elenent: e.186 Quick sort and insertion sort time, with pivot as the firstelement: e.194
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