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July 17, 2017 14:22
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Dijkstra Algorithm in C++
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// Time complexity : O(ElogV) | |
#include <bits/stdc++.h> | |
using namespace std; | |
typedef vector<int> vi; | |
typedef pair<int,int> pii; | |
typedef vector< pii > vii; | |
#define INF 0x3f3f3f3f | |
vii *G; // Graph | |
vi Dist; // for storing the distance of every other node from source. | |
/*==========================================*/ | |
void Dijkstra(int source, int N) { | |
priority_queue<pii, vector<pii>, greater<pii> > Q; // min heap | |
Dist.assign(N,INF); | |
Dist[source] = 0; | |
Q.push({0,source}); | |
while(!Q.empty()){ | |
int u = Q.top().second; | |
Q.pop(); | |
for(auto &c : G[u]){ | |
int v = c.first; | |
int w = c.second; | |
if(Dist[v] > Dist[u]+w){ | |
Dist[v] = Dist[u]+w; | |
Q.push({Dist[v],v}); | |
} | |
} | |
} | |
} | |
/*===========================================*/ | |
int main() { | |
int N, M, u, v, w, source; // N-total no of nodes, M-no. of edges, | |
cin >> N >> M; // u,v and w are the end vertices and the weight associated with an edge | |
G = new vii[N+1]; | |
for(int i=0;i<M;++i){ | |
cin >> u >> v >> w; | |
G[u].push_back({v,w}); | |
G[v].push_back({u,w}); | |
} | |
cin >> source; | |
Dijkstra(source,N); | |
for(int i=0;i<N;i++) | |
cout<<Dist[i]<<" "; | |
cout<<endl; | |
return 0; | |
} |
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