#include <bits/stdc++.h>
#include "closing.h"
using namespace std;
#define fi first
#define se second
typedef long long ll;
typedef long double ld;
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
ll inf = 1e18;
vector<vector<pair<ll, ll>>> g;
vector<ll> dist;
vector<ll> v, u, w;
void dfs(ll x, ll d=0, ll p= -1) {
dist[x] = d;
for (auto [y, ti] : g[x]) {
if (p != y) {
dfs(y, d + ti, x);
}
}
}
int max_score(int n, int x, int y, ll k, vector<int> U, vector<int> V, vector<int> W) {
g.resize(n);
v.resize(n - 1);
u.resize(n - 1);
w.resize(n - 1);
for (ll i = 0; i < n - 1; i++) {
v[i] = V[i];
u[i] = U[i];
w[i] = W[i];
g[u[i]].push_back({v[i], w[i]});
g[v[i]].push_back({u[i], w[i]});
}
dist.assign(n, inf);
dfs(x);
dfs(y);
sort(dist.begin(), dist.end());
int cnt = 0;
for (ll i = 0; i < n; i++) {
if (k >= dist[i]) {
k -= dist[i];
cnt++;
} else {
break;
}
}
return cnt;
}
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