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>
#define ii pair<long long, long long>
using namespace std;
vector<ii> adj2[100001], adj[100001];
long long dist[100001][2];
int cnt[100001];
bitset<100001> mark;
void dfs(int a, int p){
	printf("!>> %d %d\n", a, p);
	mark[a] = 1;
	if(a != 0 && adj2[a].size() <= 2) return;
	for(auto [x, w] : adj2[a]){
		if(x == p) continue;
		adj[a].push_back({x, w});
		adj[x].push_back({a, w});
		if(!mark[x]) dfs(x, a);
	} 
}
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[])
{
	for(int i = 0; i < M; i++){
		adj[R[i][0]].push_back({R[i][1], L[i]});
		adj[R[i][1]].push_back({R[i][0], L[i]});
	}
	// dfs(0, 0);
	priority_queue<ii, vector<ii>, greater<ii>> pq;
	for(int i = 0; i < N; i++) dist[i][0] = dist[i][1] = LLONG_MAX;
	for(int i = 0; i < K; i++){
		if(1 | mark[P[i]]){
			pq.push({0, P[i]});
			dist[P[i]][0] = dist[P[i]][1] = 0;
		}
	}
	while(!pq.empty()){
		auto [d, n] = pq.top();
		pq.pop();
		
		// printf(">> %d : %lld %lld\n", n, dist[n][0], dist[n][1]);
		
		if(dist[n][1] != d) continue;
		
		for(auto [x, w] : adj[n]){
			if(dist[x][0] > dist[n][1] + w){
				if(dist[x][1] > dist[x][0]){
					dist[x][1] = dist[x][0];
					pq.push({dist[x][1], x});
				}
				dist[x][0] = dist[n][1] + w;
			}
			else if(dist[x][1] > dist[n][1] + w){
				dist[x][1] = dist[n][1] + w;
				pq.push({dist[x][1], x});
			}
		}
	}
	return dist[0][1];
}
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