#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pil pair<int, ll>
#define plii pair<ll, pii>
#define pli pair<ll, int>
#include "crocodile.h"
using namespace std;
const ll INF = 1e15;
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[])
{
  vector<vector<pil>> graph(N);
  for (int i = 0; i < M; i++)
  {
    graph[R[i][0]].push_back({R[i][1], L[i]});
    graph[R[i][1]].push_back({R[i][0], L[i]});
  }
  vector<vector<ll>> dist(N, vector<ll>(2, INF));
  priority_queue<pli, vector<pli>, greater<pli>> q;
  for (int i = 0; i < K; i++)
  {
    dist[P[i]][0] = dist[P[i]][1] = 0;
    q.push({0, P[i]});
  }
  while (!q.empty())
  {
    ll w;
    int v;
    tie(w, v) = q.top();
    q.pop();
    if (dist[v][1] < w)
      continue;
    for (pil e : graph[v])
    {
      ll wei;
      int u;
      tie(u, wei) = e;
      if (dist[u][1] <= w + wei)
        continue;
      if (dist[u][0] > w + wei)
      {
        if (dist[u][0] < dist[u][1])
          q.push({dist[u][0], u});
        dist[u][1] = dist[u][0];
        dist[u][0] = w + wei;
      }
      else if (dist[u][1] > w + wei)
      {
        dist[u][1] = w + wei;
        q.push({w + wei, u});
      }
    }
  }
  return dist[0][1];
}
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