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#include <iostream>
#include <fstream>
#include <string>
#include <vector>
#include <algorithm>
#include<process.h>
#define MAX 5
#define TEMP 0
#define PERM 1
#define FALSE 0
#define TRUE 1
#define infinity 6
using namespace std;
struct node
{
int predecessor;
int dist; /*Distance from predecessor */
int status;
};
struct edge
{
int u;
int v;
};
void display();
int maketree(edge [],int *);
int all_perm(node [] );
int integers[MAX][MAX];
int n;
int main()
{
ifstream inputf;
inputf.open("Inputs.txt");
string buffer;
for (int x=0;x<=5;x++)
{
for (int y = 0;y<=5;y++)
{
inputf>>integers[x][y];
cout << integers[x][y] << ',' << ends;
}
cout << endl;
}
inputf.close();
ofstream outfile ("outfile.txt");
int x;
int path[MAX];
int wt_tree,count;
struct edge tree[MAX];
display();
count = maketree(tree,&wt_tree);
cout<<"Weight of spanning tree is : "<<wt_tree;
cout<<"Edges to be included in spanning tree are : n";
for(x=0;x<=count;x++)
{
cout<<tree[x].u<<" -> n";
cout<<tree[x].v<<"n";
}
outfile.close();
return 0;
}
void display()
{
int i,j;
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
cout<<"t"<<integers[i][j];
cout<<"n";
}
}
int maketree(edge tree[MAX],int *weight)
{
node state[MAX];
int i,k,min,count,current,newdist;
int m;
int u1,v1;
*weight=0;
/*Make all nodes temporary*/
for(i=1;i<=n;i++)
{
state[i].predecessor=0;
state[i].dist = infinity;
state[i].status = TEMP;
}
/*Make first node permanent*/
state[1].predecessor=0;
state[1].dist = 0;
state[1].status = PERM;
/*Start from first node*/
current=0;
count=0;
/*count represents number of nodes in tree */
while( all_perm(state) != TRUE ) /*Loop till all the nodes become PERM*/
{
for(i=1;i<=n;i++)
{
if ( integers[current][i] > 0 && state[i].status == TEMP )
{
if( integers[current][i] < state[i].dist )
{
state[i].predecessor = current;
state[i].dist = integers[current][i];
}
}
}
/*Search for temporary node with minimum distance and make it current node*/
min=infinity;
for(i=1;i<=n;i++)
{
if(state[i].status == TEMP && state[i].dist < min)
{
min = state[i].dist;
current=i;
}
}
state[current].status=PERM;
/*Insert this edge(u1,v1) into the tree */
u1=state[current].predecessor;
v1=current;
count++;
tree[count].u=u1;
tree[count].v=v1;
/*Add wt on this edge to weight of tree */
*weight=*weight+integers[u1][v1];
}/*End of while*/
return (count);
}/*End of maketree()*/
/*This function returns TRUE if all nodes are permanent*/
int all_perm(node state[MAX] )
{
int i;
for(i=1;i<=n;i++)
if( state[i].status == TEMP )
return FALSE;
else
return TRUE;
}/*End of all_perm()*/
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