Created
April 28, 2020 04:41
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Dijkstra Algorithm for finding shortest path to all vertices from a single source.
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#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) ; | |
} |
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thanks broo :))) !!