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#include<stdio.h>
#include<conio.h>
#define STRANGER 9999
#define MAX 10
#pragma warning (disable:4996)
void dijkstra(int G[MAX][MAX], int n, int startnode);
int main()
{
int G[MAX][MAX], i, j, n, u;
printf("\nEnter the number of nodes : ");
scanf("%d", &n);
printf("\nEnter the cost matrix :\n");
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
scanf("%d", &G[i][j]);
printf("\nEnter the starting node:");
scanf("%d", &u);
dijkstra(G, n, u);
return 0;
}
void dijkstra(int G[MAX][MAX], int n, int startnode)
{
int cost[MAX][MAX], distance[MAX], neighbor[MAX];
int visited[MAX], count, mindistance, nextnode, i, j;
//neighbor[] stores the neighbor of each node
//count gives the number of nodes seen so far
//create the cost matrix
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
if (G[i][j] == 0)
cost[i][j] = STRANGER;
else
cost[i][j] = G[i][j];
//initialize neighbor[],distance[] and visited[]
for (i = 0; i < n; i++)
{
distance[i] = cost[startnode][i];
neighbor[i] = startnode;
visited[i] = 0;
}
distance[startnode] = 0;
visited[startnode] = 1;
count = 1;
while (count < n - 1)
{
mindistance = STRANGER;
//nextnode gives the node at minimum distance
for (i = 0; i < n; i++)
if (distance[i] < mindistance && !visited[i])
{
mindistance = distance[i];
nextnode = i;
}
//check if a better path exists through nextnode
visited[nextnode] = 1;
for (i = 0; i < n; i++)
if (!visited[i])
if (mindistance + cost[nextnode][i] < distance[i])
{
distance[i] = mindistance + cost[nextnode][i];
neighbor[i] = nextnode;
}
count++;
}
//print the path and distance of each node
for (i = 0; i < n; i++)
if (i != startnode)
{
printf("\nDistance of node%d=%d", i, distance[i]);
printf("\nPath=%d", i);
j = i;
do
{
j = neighbor[j];
printf("<-%d", j);
} while (j != startnode);
}
}
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