C Program to implement Dijkstra’s algorithm.

C Program to implement Dijkstra’s algorithm. Dijkstra’s Algorithm finds the shortest path with the lower cost in a Graph. Dijkstra’s Algorithm solves the Single Source Shortest Path problem for a Graph. It is a Greedy algorithm and similar to Prim’s algorithm. Read more about C Programming Language .


/***********************************************************
* You can use all the programs on www.c-program-example.com
* for personal and learning purposes. For permissions to use the
* programs for commercial purposes,
* contact [email protected]
* To find more C programs, do visit www.c-program-example.com
* and browse!
*
* Happy Coding
***********************************************************/

#include "stdio.h"
#include "conio.h"
#define infinity 999

void dij(int n,int v,int cost[10][10],int dist[])
{
int i,u,count,w,flag[10],min;
for(i=1;i<=n;i++)
flag[i]=0,dist[i]=cost[v][i];
count=2;
while(count<=n)
{
min=99;
for(w=1;w<=n;w++)
if(dist[w]<min && !flag[w])
min=dist[w],u=w;
flag[u]=1;
count++;
for(w=1;w<=n;w++)
if((dist[u]+cost[u][w]<dist[w]) && !flag[w])
dist[w]=dist[u]+cost[u][w];
}
}

void main()
{
int n,v,i,j,cost[10][10],dist[10];
clrscr();
printf("n Enter the number of nodes:");
scanf("%d",&n);
printf("n Enter the cost 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]=infinity;
}
printf("n Enter the source matrix:");
scanf("%d",&v);
dij(n,v,cost,dist);
printf("n Shortest path:n");
for(i=1;i<=n;i++)
if(i!=v)
printf("%d->%d,cost=%dn",v,i,dist[i]);
getch();
}
Read more Similar C Programs
Data Structures
Prims Algorithm

Learn C Programming

You can easily select the code by double clicking on the code area above.
To get regular updates on new C programs, you can Follow @c_program

You can discuss these programs on our Facebook Page. Start a discussion right now,

our page!

Share this program with your Facebook friends now! by liking it

(you can send this program to your friend using this button)

Like to get updates right inside your feed reader? Grab our feed!

(c) www.c-program-example.com

C Program to solve Knapsack problem

C Program to solve Knapsack problem. Knapsack problem is also called as rucksack problem. In Knapsack problem, given a set items with values and weights and a limited weight bag . We have to find the optimum solution so that, in minimum cost(value) fill the bag with the maximum weight. Read more about C Programming Language .

/***********************************************************
* You can use all the programs on www.c-program-example.com
* for personal and learning purposes. For permissions to use the
* programs for commercial purposes,
* contact [email protected]
* To find more C programs, do visit www.c-program-example.com
* and browse!
*
* Happy Coding
***********************************************************/

#include<stdio.h>
#include<conio.h>
int w[10],p[10],v[10][10],n,i,j,cap,x[10]={0};
int max(int i,int j)
{
return ((i>j)?i:j);
}
int knap(int i,int j)
{
int value;
if(v[i][j]<0)
{
if(j<w[i])
value=knap(i-1,j);
else
value=max(knap(i-1,j),p[i]+knap(i-1,j-w[i]));
v[i][j]=value;
}
return(v[i][j]);
}
void main()
{
int profit,count=0;
clrscr();
printf("nEnter the number of elementsn");
scanf("%d",&n);
printf("Enter the profit and weights of the elementsn");
for(i=1;i<=n;i++)
{
printf("For item no %dn",i);
scanf("%d%d",&p[i],&w[i]);
}
printf("nEnter the capacity n");
scanf("%d",&cap);
for(i=0;i<=n;i++)
for(j=0;j<=cap;j++)
if((i==0)||(j==0))
v[i][j]=0;
else
v[i][j]=-1;
profit=knap(n,cap);
i=n;
j=cap;
while(j!=0&&i!=0)
{
if(v[i][j]!=v[i-1][j])
{
x[i]=1;
j=j-w[i];
i--;
}
else
i--;
}
printf("Items included aren");
printf("Sl.notweighttprofitn");
for(i=1;i<=n;i++)
if(x[i])
printf("%dt%dt%dn",++count,w[i],p[i]);
printf("Total profit = %dn",profit);
getch();
}
Read more Similar C Programs
Data Structures

Learn C Programming

You can easily select the code by double clicking on the code area above.

To get regular updates on new C programs, you can Follow @c_program

You can discuss these programs on our Facebook Page. Start a discussion right now,

our page!

Share this program with your Facebook friends now! by liking it

(you can send this program to your friend using this button)

Like to get updates right inside your feed reader? Grab our feed!

(c) www.c-program-example.com