#include "closing.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int max_score(int N, int X, int Y, long long K,
std::vector<int> U, std::vector<int> V, std::vector<int> _W)
{
vector<vector<pair<int, int>>> adj(N);
for (int i = 0; i < N - 1; ++i) {
adj[U[i]].push_back({V[i], _W[i]});
adj[V[i]].push_back({U[i], _W[i]});
}
vector<ll> C(N);
vector<vector<bool>> vis(N, vector<bool>(2));
priority_queue<array<ll, 4>> pq;
pq.push({0, X, 0, 0});
pq.push({0, Y, 0, 1});
ll tot = 0;
int res = 0;
while (pq.size()) {
ll need = -pq.top()[0];
int v = pq.top()[1];
ll sum = pq.top()[2];
int p = pq.top()[3];
pq.pop();
if (sum - C[v] != need) {
pq.push({-max(0LL, sum - C[v]), v, sum, p});
continue;
}
if (need + tot > K) continue;
tot += need;
res += 1;
C[v] += need;
vis[v][p] = 1;
for (auto& [u, w] : adj[v]) {
if (vis[u][p]) continue;
pq.push({-max(0LL, sum + w - C[u]), u, sum + w, p});
}
}
return res;
}
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