This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "crocodile.h"
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 100000 + 5;
struct Dijkstra {
  int node;
  long long weight;
  bool operator < (const Dijkstra & o) const {
    return weight > o.weight;
  }
};
int visited[MAX_N];
long long dis[MAX_N];
vector<pair<int, long long>> g[MAX_N];
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[]) {
  for (int i=0 ; i<M ; i++) {
    g[R[i][0]].push_back({ R[i][1], L[i] });
    g[R[i][1]].push_back({ R[i][0], L[i] });
  }
  for (int i=0 ; i<N ; i++) {
    dis[i] = 2e9;
  }
  priority_queue<Dijkstra> dijkstra;
  for (int i=0 ; i<K ; i++) {
    dis[P[i]] = 0;
    visited[P[i]] = 1;
    dijkstra.push({ P[i], 0 });
  }
  while (!dijkstra.empty()) {
    int node = dijkstra.top().node;
    long long weight = dijkstra.top().weight;
    dijkstra.pop();
    if (visited[node] == 2) continue;
    visited[node]++;
    if (visited[node] == 2) {
      dis[node] = weight;
      for (pair<int, long long> edge : g[node]) {
        dijkstra.push({ edge.first, weight + edge.second });
      }
    }
  }
  return dis[0];
}
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