Write a program to sort an array of random elements using quicksort as follows: 1. Sort the arrays using pivot as the middle 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 middle 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: 1 2 34 5 6 780 (median of 1, 5, 0 is 1) B01234567 (median of 8, 3, 7 is 7) To calculate the CPU time, use the header , and clock_t type. Depends on the CPU of your computer, your number would not be the same as in the sample output below. Sample Output: Enter array size: 100000 Quick sort time, with pivot middle element = 28 Quick sort time, with pivot median element = 32 Quick sort time and insertion sort time, with pivot middle element = 30 Quick sort time and insertion sort time, with pivot median element = 28 Would you like to enter another Array size (Y / N)? Y Enter array size: 300000 Quick sort time, with pivot middle element = 111 Quick sort time, with pivot median element = 110 Quick sort time and insertion sort time, with pivot middle element = 101 Quick sort time and insertion sort time, with pivot median element = 105 Would you like to enter another Array size (Y / N)? N

Database System Concepts
7th Edition
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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use sorting and Insertion sort algorithms to do the following

Write a program to sort an array of random elements using quicksort as follows:
1. Sort the arrays using pivot as the middle 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 middle 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:
1 2 3 4 5 6 7 8 0 (median of 1, 5,0 is 1)
80 1 2 3 4 5 6 7 (median of 8, 3, 7 is 7)
To calculate the CPU time, use the header <ctime>, and clock_t type. Depends on the CPU of your computer, your number would not be the same as in the sample output below.
Sample Output:
Enter array size: 100000
Quick sort time, with pivot middle element = 28
Quick sort time, with pivot median element = 32
Quick sort time and insertion sort time, with pivot middle element = 30
Quick sort time and insertion sort time, with pivot median element = 28
Would you like to enter
noth
- Array size (Y / N)? Y
Enter array size: 300000
Quick sort time, with pivot middle element = 111
Quick sort time, with pivot median element = 110
%3D
Quick sort time and insertion sort time, with pivot middle element = 101
Quick sort time and insertion sort time, with pivot median element = 105
Would you like to enter another Array size (Y / N)? N
Transcribed Image Text:Write a program to sort an array of random elements using quicksort as follows: 1. Sort the arrays using pivot as the middle 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 middle 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: 1 2 3 4 5 6 7 8 0 (median of 1, 5,0 is 1) 80 1 2 3 4 5 6 7 (median of 8, 3, 7 is 7) To calculate the CPU time, use the header <ctime>, and clock_t type. Depends on the CPU of your computer, your number would not be the same as in the sample output below. Sample Output: Enter array size: 100000 Quick sort time, with pivot middle element = 28 Quick sort time, with pivot median element = 32 Quick sort time and insertion sort time, with pivot middle element = 30 Quick sort time and insertion sort time, with pivot median element = 28 Would you like to enter noth - Array size (Y / N)? Y Enter array size: 300000 Quick sort time, with pivot middle element = 111 Quick sort time, with pivot median element = 110 %3D Quick sort time and insertion sort time, with pivot middle element = 101 Quick sort time and insertion sort time, with pivot median element = 105 Would you like to enter another Array size (Y / N)? N
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