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 <iostream>
#include <vector>
#include <queue>
#include "crocodile.h"
using namespace std;
vector <vector <pair <int, int>>> g(1e5);
vector <int> o1(1e5, 2e9);
vector <int> o2(1e5, 2e9);
vector <bool> done(1e5, false);
priority_queue <pair <int, int>> pq;
bool update(int i, int val) {
	if (val < o1[i]) { o2[i] = o1[i]; o1[i] = val; return true; }
	if (val < o2[i]) { o2[i] = val; return true; }
	return false;
}
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[]) {
	int a, b, w;
	for (int i = 0; i < M; i++) {
		a = R[i][0]; b = R[i][1]; w = L[i];
		g[a].push_back({ b,w });
		g[b].push_back({ a,w });
	}
	for (int i = 0; i < K; i++) {
		o1[P[i]] = o2[P[i]] = 0;
		pq.push({ 0,P[i] });
	}
	while (!done[0]) {
		a = pq.top().second; pq.pop();
		if (done[a]) continue;
		done[a] = true;
		for (auto p : g[a]) {
			b = p.first; w = p.second;
			if (update(b, o2[a] + w)) pq.push({ -o2[b], b });
		}
	}
	return o2[0];
}
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