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 <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef vector<int> vi;
typedef vector<pair<int, int>> vii;
typedef pair<int, int> pi;
#define MOD 1000000007LL
vector<pair<int, int>> adj[100000];
ll dis[100000];
pair<ll, ll> mdis[100000];
int travel_plan(int N, int M, int R[][2], int *L, int K, int *P) {
    //cout << "Debugging: " << N << " " << M << " " << K << endl;
    //for (int i = 0; i < M; i++) cout << R[i][0] << " " << R[i][1] << endl;
    //for (int i = 0; i < M; i++) cout << L[i] << " "; cout << endl;
    //for (int i = 0; i < K; i++) cout << P[i] << " "; cout << endl;
    
    for (int i = 0; i < N; i++) { adj[i].clear(); dis[i] = 1e18; mdis[i] = {1e18, 1e18}; }
    for (int i = 0; i < M; i++) {
        int a = R[i][0], b = R[i][1], w = L[i];
        adj[a].push_back({b, w});
        adj[b].push_back({a, w});
    }
    
    using T = pair<ll, ll>; priority_queue<T, vector<T>, greater<T>> q;
    for (int i = 0; i < K; i++) { q.push({0, P[i]}); dis[P[i]] = 0; }
    
    while (!q.empty()) {
        ll v = q.top().second, ow = q.top().first; q.pop();
        if (dis[v] < ow) continue;
        for (auto pp : adj[v]) {
            ll u = pp.first, w = pp.second;
            if (dis[v]+w <= mdis[u].first) {
                mdis[u].second = mdis[u].first;
                mdis[u].first = dis[v]+w;
            } else if (dis[v]+w <= mdis[u].second) {
                mdis[u].second = dis[v]+w;
            }
            
            if (mdis[u].second < dis[u]) {
                dis[u] = mdis[u].second;
                q.push({dis[u], u});
            }
        }
        //cout << "processed: " << v << " " << dis[v] << endl;
    }
    
    //cout << "Debugging dis, mdis" << endl;
    //for (int i = 0; i < N; i++) cout << dis[i] << " "; cout << endl;
    //for (int i = 0; i < N; i++) cout << mdis[i].first << " "; cout << endl;
    //for (int i = 0; i < N; i++) cout << mdis[i].second << " "; cout << endl;
    
    return dis[0];
}
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