#include "crocodile.h"
#include <iostream>
#include <cstring>
#include <vector>
#include <queue>
// /usr/bin/g++ -DEVAL -std=gnu++20 -O2 -pipe -static -s -o crocodile grader.cpp crocodile.cpp
using namespace std;
const int NN=100010;
vector<pair<int,int>> connections[NN];
bool gud[NN];
bool visited[NN];
int bfs(int node){
if (!visited[node]){
visited[node]=true;
priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> kiwi;
for (auto it : connections[node]){
if (!visited[it.first]){
int rslt = bfs(it.first);
if (gud[it.first]){
kiwi.push({it.second+rslt,it.first});
}
}
}
if (kiwi.size()>=2)gud[node]=true;
else return 0;
kiwi.pop();
return kiwi.top().first;
}return 0;
}
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[])
{
memset(visited, 0, sizeof visited);
memset(gud, 0, sizeof gud);
for (int i = 0; i < M;++i){
connections[R[i][0]].push_back({R[i][1],L[i]});
connections[R[i][1]].push_back({R[i][0],L[i]});
}
for (int i = 0;i<K;++i)gud[P[i]]=true;
return bfs(0);
}
