# include <iostream.h>
# include <graphics.h>
# include <string.h>
# include <stdlib.h>
# include <conio.h>
# define MAX_VERTICES 10
# define MAX_EDGES 15
/*************************************************************************/
//------------------------------- Vertex ------------------------------//
/*************************************************************************/
class Vertex
{
public:
int x;
int y;
int label;
private:
char Label[5];
public:
Vertex( ) { }
~Vertex( ) { }
void SetVertex(const int,const int,const int);
void ShowVertex( );
};
/*************************************************************************/
//------------------------------- Edge --------------------------------//
/*************************************************************************/
class Edge
{
public:
int weight;
Vertex V1;
Vertex V2;
private:
char Weight[5];
public:
Edge( ) { }
~Edge( ) { }
void SetEdge(const Vertex,const Vertex,const int);
void ShowEdge( );
};
/*************************************************************************/
//---------------------------- SetVertex( ) ---------------------------//
/*************************************************************************/
void Vertex::SetVertex(const int _x,const int _y,const int _label)
{
x=_x;
y=_y;
label=_label;
itoa((label+1),Label,10);
}
/*************************************************************************/
//---------------------------- ShowVertex( ) --------------------------//
/*************************************************************************/
void Vertex::ShowVertex( )
{
setcolor(1);
setfillstyle(1,1);
pieslice(x,y,0,360,10);
setcolor(9);
circle(x,y,10);
setcolor(15);
settextstyle(2,0,4);
if(label<9)
outtextxy((x-2),(y-6),Label);
else if(label>=9)
outtextxy((x-5),(y-6),Label);
}
/*************************************************************************/
//----------------------------- SetEdge( ) ----------------------------//
/*************************************************************************/
void Edge::SetEdge(const Vertex _V1,const Vertex _V2,const int _weight)
{
V1=_V1;
V2=_V2;
weight=_weight;
itoa(weight,Weight,10);
}
/*************************************************************************/
//---------------------------- ShowEdge( ) ----------------------------//
/*************************************************************************/
void Edge::ShowEdge( )
{
setlinestyle(0,0,3);
setcolor(11);
line(V1.x,V1.y,V2.x,V2.y);
setlinestyle(0,0,0);
V1.ShowVertex( );
V2.ShowVertex( );
int x=(((V1.x+V2.x)/2)-6);
int y=(((V1.y+V2.y)/2)-8);
setcolor(12);
settextstyle(2,0,7);
outtextxy(x,y,Weight);
outtextxy((x+1),y,Weight);
outtextxy((x+1),(y+1),Weight);
}
int main( )
{
textmode(C4350);
int driver=VGA;
int mode=VGAHI;
int error_code;
initgraph(&driver,&mode,"..\\Bgi");
error_code=graphresult( );
if(error_code!=grOk)
{
restorecrtmode( );
textmode(BW80);
clrscr( );
cout<<" \n Fatal Error : Graphic Driver not initialized"<<endl;
cout<<" Error Reason : "<<grapherrormsg(error_code)<<endl;
cout<<" \n Press any key to exit...";
getch( );
exit(1);
}
/***************************************************************
Sample Input
************
Vertices , Edges
6 , 10
Vertex_1 , Vertex_2
320 , 100
170 , 200
320 , 250
470 , 200
220 , 400
420 , 400
Vertxe_1 ----> Vertex_2 , Weight
1 ----> 2 , 6
1 ----> 4 , 5
1 ----> 3 , 1
2 ----> 3 , 5
2 ----> 5 , 3
3 ----> 5 , 6
3 ----> 6 , 4
3 ----> 4 , 5
4 ----> 5 , 2
5 ----> 5 , 6
Answer : 15
***************************************************************/
int vertices=0;
int edges=0;
cout<<"******************* Input ********************"<<endl;
cout<<"Enter the Total Number of Vertices (1-10) = ";
cin>>vertices;
vertices=((vertices<1)?1:vertices);
vertices=((vertices>10)?10:vertices);
cout<<"Enter the Total Number of Edges (1-15) = ";
cin>>edges;
edges=((edges<0)?0:edges);
edges=((edges>15)?15:edges);
Vertex V[MAX_VERTICES];
Edge E[MAX_EDGES];
cleardevice( );
setcolor(15);
rectangle(45,85,595,415);
int x;
int y;
for(int count=0;count<vertices;count++)
{
gotoxy(1,1);
cout<<"******* XY-Coordinates of Vertex-"<<(count+1)<<" *******";
gotoxy(1,2);
cout<<"Enter value of x-coordinate (060-580) = ";
cin>>x;
x=((x<60)?60:x);
x=((x>580)?580:x);
gotoxy(1,3);
cout<<"Enter value of y-coordinate (100-400) = ";
cin>>y;
y=((y<100)?100:y);
y=((y>400)?400:y);
V[count].SetVertex(x,y,count);
V[count].ShowVertex( );
gotoxy(1,1);
cout<<" ";
gotoxy(1,2);
cout<<" ";
gotoxy(1,3);
cout<<" ";
}
gotoxy(1,28);
cout<<" V = { ";
for(count=1;count<vertices;count++)
cout<<count<<",";
cout<<count<<" } ";
gotoxy(1,30);
cout<<" E = { ";
x=wherex( );
int v1;
int v2;
int weight;
for(count=0;count<edges;count++)
{
gotoxy(1,1);
cout<<"****** Vertex Numbers for Edge-"<<(count+1)<<" ******";
gotoxy(1,2);
cout<<"Enter the Vertice-1 (1-"<<vertices<<") = ";
cin>>v1;
v1=((v1<1)?1:v1);
v1=((v1>vertices)?vertices:v1);
gotoxy(1,3);
cout<<"Enter the Vertice-2 (1-"<<vertices<<") = ";
cin>>v2;
v2=((v2<1)?1:v2);
v2=((v2>vertices)?vertices:v2);
gotoxy(1,4);
cout<<"Enter the Edge Weight = ";
cin>>weight;
weight=((weight<=0)?0:weight);
E[count].SetEdge(V[(v1-1)],V[(v2-1)],weight);
E[count].ShowEdge( );
gotoxy(x,30);
cout<<"("<<v1<<","<<v2<<")";
if(count<(edges-1))
cout<<",";
x=wherex( );
gotoxy(1,1);
cout<<" ";
gotoxy(1,2);
cout<<" ";
gotoxy(1,3);
cout<<" ";
gotoxy(1,4);
cout<<" ";
}
gotoxy(x,30);
cout<<" } ";
getch( );
cleardevice( );
gotoxy(5,3);
cout<<" ****************** Applying Kruskal's Algorithm *******************"<<endl;
setcolor(15);
rectangle(45,85,595,415);
for(count=0;count<vertices;count++)
V[count].ShowVertex( );
for(int i=0;i<edges;i++)
{
for(int j=0;j<(edges-1);j++)
{
if(E[j].weight>=E[(j+1)].weight)
{
Edge Temp;
Temp=E[j];
E[j]=E[(j+1)];
E[(j+1)]=Temp;
}
}
}
int e_count=0;
int cycle_flag=0;
Edge _E[MAX_EDGES];
int mst[MAX_VERTICES][MAX_VERTICES]={0};
for(i=0;i<=vertices;i++)
{
mst[i][0]=i;
for(int j=1;j<vertices;j++)
mst[i][j]=-1;
}
for(count=0;count<edges;count++)
{
cycle_flag=0;
for(i=1;i<vertices;i++)
{
if(mst[E[count].V1.label][i]==E[count].V2.label ||
mst[E[count].V2.label][i]==E[count].V1.label)
cycle_flag=1;
}
if(!cycle_flag)
{
_E[e_count]=E[count];
_E[e_count].ShowEdge( );
e_count++;
for(i=1;i<vertices;i++)
{
if(mst[E[count].V1.label][i]==E[count].V2.label)
break;
if(mst[E[count].V1.label][i]==-1)
{
mst[E[count].V1.label][i]=E[count].V2.label;
break;
}
}
for(i=1;i<vertices;i++)
{
if(mst[E[count].V2.label][i]==E[count].V1.label)
break;
if(mst[E[count].V2.label][i]==-1)
{
mst[E[count].V2.label][i]=E[count].V1.label;
break;
}
}
for(i=0;i<vertices;i++)
{
for(int j=0;j<vertices;j++)
{
for(int k=1;k<vertices;k++)
{
if(mst[j][k]!=-1)
{
for(int l=1;l<vertices;l++)
{
if(mst[mst[j][k]][l]!=-1)
{
for(int m=0;m<vertices;m++)
{
if(mst[mst[j][k]][l]==mst[j][m])
break;
if(mst[j][m]==-1)
{
mst[j][m]=mst[mst[j][k]][l];
break;
}
}
}
}
}
}
}
}
gotoxy(48,28);
cout<<"Press any Key to Continue...";
getch( );
gotoxy(48,28);
cout<<" ";
}
}
gotoxy(1,1);
cout<<" "<<endl;
cout<<" "<<endl;
cout<<" "<<endl;
cout<<" "<<endl;
cout<<" "<<endl;
gotoxy(1,1);
cout<<"******************* Result ********************"<<endl;
cout<<" V = { ";
for(count=1;count<vertices;count++)
cout<<count<<",";
cout<<count<<" }"<<endl<<" E = { ";
for(count=0;count<(e_count-1);count++)
cout<<"("<<(_E[count].V1.label+1)<<","<<(_E[count].V2.label+1)<<"),";
cout<<"("<<(_E[count].V1.label+1)<<","<<(_E[count].V2.label+1)<<") }"<<endl;
cout<<" Total Cost = ";
int cost=0;
for(count=0;count<e_count;count++)
{
cost+=_E[count].weight;
if(count<(e_count-1))
cout<<_E[count].weight<<"+";
}
cout<<_E[count-1].weight<<" = "<<cost;
gotoxy(54,28);
cout<<"Press any Key to Exit.";
getch( );
return 0;
}