#include <bits/stdc++.h>
#include "crocodile.h"
using namespace std;
using ll = long long;
int travel_plan(int n, int m, int r[][2], int L[], int k, int p[]){
vector<vector<pair<int,int>>> g(n);
for(int i = 0; i < m; i++){
g[r[i][0]].emplace_back(r[i][1], L[i]);
g[r[i][1]].emplace_back(r[i][0], L[i]);
}
vector<int> ext(n);
for(int i = 0; i < k; i++){
ext[p[i]] = 1;
}
vector<ll> dist(n, 1e18);
vector<int> par(n), dep(n);
priority_queue<pair<ll,int>> pq;
pq.emplace(0, 0);
dist[0] = 0;
vector<vector<pair<int,int>>> dag(n);
while(pq.size()){
auto [d,v] = pq.top(); pq.pop();
if(ext[v]) continue;
if(-d > dist[v]) continue;
for(auto [u,w]: g[v]){
if(dist[v] + w < dist[u]){
dist[u] = dist[v] + w;
pq.emplace(-dist[u], u);
par[u] = v;
}
if(par[v] != u) dag[v].emplace_back(u, w);
}
}
vector<ll> dp(n, -1);
function<ll(int)> dfs = [&](int v){
if(dp[v] != -1) return dp[v];
if(ext[v]) return dp[v] = 0;
vector<ll> dists;
for(auto [u,w]: dag[v]){
dists.push_back(dfs(u) + w);
}
if(dists.size() < 2) return dp[v] = (ll) 1e10;
sort(dists.begin(), dists.end());
return dp[v] = dists[1];
};
return dfs(0);
}
