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Design and Analysis of Algorithms Subject Code : 10CSL47 Lab Manual PROGRAM-1
1. Sort a given set of elements using the Quicksort method and determine the time required to sort the elements. Repeat the experiment for different values of n, the number of elements in the list to be sorted and plot a graph of the time taken versus n. The elements can be read from a file or can be generated using the random number generator.
# include <stdio.h>
# include <conio.h>
# include <time.h>
void Exch(int *p, int *q)
{
int temp = *p;
*p = *q;
*q = temp;
}
void QuickSort(int a[], int low, int high)
{
int i, j, key, k;
if(low>=high)
return;
key=low; i=low+1; j=high;
while(i<=j)
{
while ( a[i] <= a[key] ) i=i+1;
while ( a[j] > a[key] ) j=j-1;
if(i<j) Exch(&a[i], &a[j]);
}
Exch(&a[j], &a[key]);
QuickSort(a, low, j-1);
QuickSort(a, j+1, high);
}
void main()
{
int n, a[1000],k;
clock_t st,et;
double ts;
clrscr();
printf("\n Enter How many Numbers: ");
scanf("%d", &n);
printf("\nThe Random Numbers are:\n");
for(k=1; k<=n; k++)
{
a[k]=rand();
printf("%d\t",a[k]);
}
st=clock();
QuickSort(a, 1, n);
et=clock();
ts=(double)(et-st)/CLOCKS_PER_SEC;
printf("\nSorted Numbers are: \n ");
for(k=1; k<=n; k++)
printf("%d\t", a[k]);
printf("\nThe time taken is %e",ts);
getch();
}
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