#include "closing.h"
#include <bits/stdc++.h>
using namespace std;
using vi = vector<int>;
using vvi = vector<vi>;
typedef long long ll;
struct Edge {
int v, w;
};
int n, x, y;
ll k;
vi xi, yi, wi;
vector<vector<Edge>> adj;
const ll INF = 4e18;
int max_score(int N, int X, int Y, ll K, vi U, vi V, vi W) {
n = N; x = X; y = Y; k = K; xi = U; yi = V; wi = W;
adj.assign(n, vector<Edge>());
for (int i = 0; i < n - 1; i++) {
adj[xi[i]].push_back(Edge{yi[i], wi[i]});
adj[yi[i]].push_back(Edge{xi[i], wi[i]});
}
int ans = 0;
ll tl = 0;
priority_queue<pair<ll, int>> xq, yq;
xq.push({0, x}), yq.push({0, y});
vector<bool> vis(n, false);
while (tl <= k && !xq.empty() && !yq.empty()) {
pair<ll, int> xc = xq.empty() ? make_pair(INF, -1) : xq.top();
pair<ll, int> yc = yq.empty() ? make_pair(INF, -1) : yq.top();
if (xc.first < yc.first) {
vis[xc.second] = true;
xq.pop();
if (tl + xc.first > k) break;
ans++;
tl += xc.first;
for (auto &e : adj[xc.second]) {
if (vis[e.v]) continue;
xq.push({xc.first + ll(e.w), e.v});
}
} else {
vis[yc.second] = true;
yq.pop();
if (tl + yc.first > k) break;
ans++;
tl += yc.first;
for (auto &e : adj[yc.second]) {
if (vis[e.v]) continue;
yq.push({yc.first + ll(e.w), e.v});
}
}
}
return ans;
}
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