#include "crocodile.h"
#include <bits/stdc++.h>
using namespace std;
vector<int64_t> dp, c;
vector<vector<pair<int, int>>> g;
void dfs_set(int u, int p, int64_t d) {
if (g[u].size() == 1) {
dp[u] = d;
}
for (auto [v, w] : g[u]) {
if (v == p) continue;
dfs_set(v, u, d + w);
}
}
void dfs(int u, int p) {
int64_t mn = 1e18, res = 1e18;
for (auto [v, w] : g[u]) {
if (v == p) continue;
dfs(v, u);
if (dp[v] < mn) {
res = mn;
mn = dp[v];
}
else {
res = min(res, dp[v]);
}
}
if (g[u].size() > 1) {
dp[u] = res;
}
}
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[]) {
c.resize(N + 1);
g.resize(N + 1);
dp.resize(N + 1);
for (int i = 0; i < M; i++) {
int u = R[i][0], v = R[i][1], w = L[i];
g[u].push_back({v, w});
g[v].push_back({u, w});
}
dfs_set(0, -1, 0);
dfs(0, -1);
return dp[0];
}
