Thursday, 24 April 2014

Shortest path

#include<stdio.h>
#include<conio.h>
int main()
{
int path[5][5],i,j,min,a[5][5],p,st=1,ed=5,stp,edp,t[5],index;
printf("enter the cost matrix\n");
for(i=1;i<=5;i++)
for(j=1;j<=5;j++)
scanf("%d",&a[i][j]);
printf("enter  number of paths\n");
scanf("%d",&p);
printf("enter possible paths\n");
for(i=1;i<=p;i++)
for(j=1;j<=5;j++)
scanf("%d",&path[i][j]);
for(i=1;i<=p;i++)
{
t[i]=0;
stp=st;
for(j=1;j<=5;j++)
{
edp=path[i][j+1];
t[i]=t[i]+a[stp][edp];
if(edp==ed)
break;
else
stp=edp;
}
}
min=t[st];index=st;
for(i=1;i<=p;i++)
{
if(min>t[i])
{
min=t[i];
index=i;
}
}
printf("minimum cost %d",min);
printf("\n minimum cost path ");
for(i=1;i<=5;i++)
{
printf("--> %d",path[index][i]);
if(path[index][i]==ed)
break;
}
getch();
}
  
/*--OUTPUT:
enter the cost matrix :
0 1 4 2 0
0 0 0 2 3
0 0 0 3 0
0 0 0 0 5
0 0 0 0 0
enter number of paths : 4
enter possible paths :
1 2 4 5 0
1 2 5 0 0
1 4 5 0 0
1 3 4 5 0
minimum cost : 4
minimum cost path :

1–>2–>5 *\

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