#include <stdio.h>
#include <stdlib.h>
#define infinity 9999
#define MAX 20
int G[MAX][MAX], spanning[MAX][MAX], n;
int prims();
int main()
{
int i, j, total_cost;
printf("Enter no. of vertices:");
scanf("%d", &n);
printf("\nEnter the adjacency matrix:\n");
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
scanf("%d", &G[i][j]);
total_cost = prims();
printf("\nspanning tree matrix:\n");
for (i = 0; i < n; i++)
{
printf("\n");
for (j = 0; j < n; j++)
printf("%d\t", spanning[i][j]);
}
printf("\n\nTotal cost of spanning tree=%d", total_cost);
return 0;
}
int prims()
{
int cost[MAX][MAX];
int u, v, min_distance, distance[MAX], from[MAX];
int visited[MAX], no_of_edges, i, min_cost, j;
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
{
if (G[i][j] == 0)
cost[i][j] = infinity;
else
cost[i][j] = G[i][j];
spanning[i][j] = 0;
}
distance[0] = 0;
visited[0] = 1;
for (i = 1; i < n; i++)
{
distance[i] = cost[0][i];
from[i] = 0;
visited[i] = 0;
}
min_cost = 0;
no_of_edges = n - 1;
while (no_of_edges > 0)
{
min_distance = infinity;
for (i = 1; i < n; i++)
if (visited[i] == 0 && distance[i] < min_distance)
{
v = i;
min_distance = distance[i];
}
u = from[v];
spanning[u][v] = distance[v];
spanning[v][u] = distance[v];
no_of_edges--;
visited[v] = 1;
for (i = 1; i < n; i++)
if (visited[i] == 0 && cost[i][v] < distance[i])
{
distance[i] = cost[i][v];
from[i] = v;
}
min_cost = min_cost + cost[u][v];
}
return (min_cost);
}
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