dijkstra in c++

void dijkstra(int s) {
  priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > pq;
  for (int i=0; i<N; i++) dist[s] = INF;
  dist[s] = 0;
  pq.push(make_pair(0, s));
  while (!pq.empty()) {
    pair<int, int> front = pq.top();
    pq.pop();
    int w = front.first, u = front.second;
    if (w > dist[u]) continue;
    for (int i=0; i<adj[u].size(); i++) {
      pair<int, int> v = adj[u][i];
      if (dist[v.first] > dist[u] + v.second) {
        dist[v.first] = dist[u] + v.second;
        pq.push(make_pair(dist[v.first], v.first));
      }
    }
  }
}