Created
April 28, 2020 04:41
-
-
Save nateshmbhat/1a79daa00a148e44ad79c3e338977440 to your computer and use it in GitHub Desktop.
Dijkstra Algorithm for finding shortest path to all vertices from a single source.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
#include<bits/stdc++.h> | |
using namespace std ; | |
int cost[100][100] , n ; | |
int getMin(int dist[] , bool visited[]){ | |
int key = 0 ; | |
int min = INT_MAX ; | |
for(int i=0;i < n ; i++){ | |
if(!visited[i] && dist[i]<min){ | |
min = dist[i] ; | |
key = i ; | |
} | |
} | |
return key ; | |
} | |
void display(int dist[] , int par[] ){ | |
for(int i =0 ;i < n ;i++){ | |
int temp = par[i] ; | |
cout<<i << " <- " ; | |
while(temp!=-1) | |
{ | |
cout<< temp << " <- " ; | |
temp = par[temp] ; | |
} | |
cout<<endl; | |
cout<<"::::Distance = " << dist[i] ; | |
cout<<endl; | |
} | |
} | |
void dijkstra(int src ){ | |
int par[100] , dist[100] ; | |
bool visited[100] ={0} ; | |
fill(dist , dist+n , INT_MAX ) ; | |
dist[src] =0 ; | |
par[src] =-1 ; | |
for(int g = 0 ;g<n-1 ; g++){ | |
int u = getMin( dist , visited ) ; | |
visited[u] = true ; | |
cout<< " min = " << u <<endl; | |
for(int v =0 ; v< n ;v++){ | |
if(!visited[v] && (dist[u]+cost[u][v]) < dist[v] && cost[u][v]!=9999) | |
{ | |
par[v] = u ; | |
dist[v] = dist[u] + cost[u][v] ; | |
} | |
} | |
} | |
display(dist , par) ; | |
} | |
int main(void) { | |
cout<<"Enter n : " ; | |
cin>>n ; | |
cout<<"Enter cost matrix : \n" ; | |
for(int i = 0 ;i < n ; i++){ | |
for(int j = 0 ; j< n ; j++)cin>>cost[i][j] ; | |
} | |
int src ; | |
cout<<"\nEnter source : " ; cin>>src ; | |
dijkstra(src) ; | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
thank you