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#include<stdio.h>

#include<time.h>

int i,j,k,a,b,u,v,n,ne=1;
int min,mincost=0,cost[9][9],parent[9];
int find(int);
int uni(int,int);
void main()
{
printf("\n\tImplementation of Kruskal's algorithm\n");
printf("\nEnter the no. of vertices:");
scanf("%d",&n);
printf("\nEnter the cost adjacency matrix:\n");
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
{
scanf("%d",&cost[i][j]);
if(cost[i][j]==0)
cost[i][j]=999;
}
}
printf("The edges of Minimum Cost Spanning Tree are\n"); clock_t start=clock();
while(ne < n)
{
for(i=1,min=999;i<=n;i++)
{
for(j=1;j <= n;j++)
{
if(cost[i][j] < min)
{
min=cost[i][j];
a=u=i;
b=v=j;
}
}
}
u=find(u);
v=find(v);
if(uni(u,v))
{
printf("%d edge (%d,%d) =%d\n",ne++,a,b,min);
mincost +=min;
}

cost[a][b]=cost[b][a]=999;

}
printf("\n\tMinimum cost = %d\n",mincost);
clock_t end=clock();
printf("Start time is %lf\n",(double)start);
printf("End time is %lf\n",(double)end);
printf("Total time is %lf\n",(double)(end-start));
}
int find(int i)
{
while(parent[i])
i=parent[i];
return i;
}
int uni(int i,int j)
{
if(i!=j)
{
parent[j]=i;
return 1;
}
return 0;
}


2
#include<stdio.h>

#include<time.h>

int visited[10]={0}, cost[10][10], min, mincost=0;
int i,j,ne=1, a, b, u, v;;
int main()
{
int num;
printf("\n\t\t\tPrim's Algorithm");
printf("\n\nEnter the number of nodes= ");
scanf("%d", &num);
printf("\nEnter the adjacency matrix\n\n");
for(i=1; i<=num; i++)
{
for(j=1; j<=num; j++)
{
scanf("%d", &cost[i][j]);
 if(cost[i][j]==0)
cost[i][j]=999;
}
}
clock_t start=clock();
visited[1]=1;
while(ne < num)
{
for(i=1,min=999;i<=num;i++)
for(j=1;j<=num;j++)
if(cost[i][j]< min)
if(visited[i]!=0)
{
min=cost[i][j];
a=u=i;
b=v=j;
}
printf("\n Edge %d:(%d - %d) cost:%d",ne++,a,b,min);
mincost=mincost+min;
visited[b]=1;
cost[a][b]=cost[b][a]=999;
}
printf("\n\n\n Minimun cost=%d",mincost);
clock_t end=clock();
printf("\nStart time is %lf\n",(double)start);
printf("End time is %lf\n",(double)end);
printf("Total time is %lf\n",(double)(end-start));
return 0;

}



3
#include<stdio.h>

#include<stdlib.h>

#include<time.h>
void selectionsort(int A[],int n)
{
int i,j,min;
for(i=0;i<n-1;i++)
{
min=i;
for(j=i+1;j<n;j++)
{
if(A[j]<A[min])
{
min=j;
}
}
if(min!=i)
{
int temp=A[j];
A[j]=A[min];
A[min]=A[j];
}
}
}
int main()
{
srandom(time(NULL));
int n=30000,i;
int elements[n];
for(int i=0;i<n;i++)
{
elements[i]=rand()%1000;
}
for(int size=5000;size<=n;size+=2000)
{
int arr[size];
for(int i=0;i<size;i++)
{
arr[i]=elements[i];
}
clock_t start=clock();
selectionsort(arr,size);
clock_t stop=clock();
double time_taken=((double)(stop-start)/CLOCKS_PER_SEC);

printf("Timen taken to sort %d elements is %f seconds\n",size,time_taken);

}
return 0;

}

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