Write a program to solve all pair shortest path problem using Floyd Warshall algorithm. code example
Example: floyd warshall algorithm c program
#include<stdio.h>#include<conio.h>int min(int,int);void floyds(int p[10][10],int n) { int i,j,k; for (k=1;k<=n;k++) for (i=1;i<=n;i++) for (j=1;j<=n;j++) if(i==j) p[i][j]=0; else p[i][j]=min(p[i][j],p[i][k]+p[k][j]);}int min(int a,int b) { if(a<b) return(a); else return(b);}void main() { int p[10][10],w,n,e,u,v,i,j; ; clrscr(); printf("\n Enter the number of vertices:"); scanf("%d",&n); printf("\n Enter the number of edges:\n"); scanf("%d",&e); for (i=1;i<=n;i++) { for (j=1;j<=n;j++) p[i][j]=999; } for (i=1;i<=e;i++) { printf("\n Enter the end vertices of edge%d with its weight \n",i); scanf("%d%d%d",&u,&v,&w); p[u][v]=w; } printf("\n Matrix of input data:\n"); for (i=1;i<=n;i++) { for (j=1;j<=n;j++) printf("%d \t",p[i][j]); printf("\n"); } floyds(p,n); printf("\n Transitive closure:\n"); for (i=1;i<=n;i++) { for (j=1;j<=n;j++) printf("%d \t",p[i][j]); printf("\n"); } printf("\n The shortest paths are:\n"); for (i=1;i<=n;i++) for (j=1;j<=n;j++) { if(i!=j) printf("\n <%d,%d>=%d",i,j,p[i][j]); } getch();}