This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "closing.h"
#include <bits/stdc++.h>
using namespace std;
vector<pair<int, int>> adj[200000];
void dfs(int u, int p, vector<int64_t>& d) {
for (auto [v, c] : adj[u]) {
if (v == p) continue;
d[v] = d[u] + c;
dfs(v, u, d);
}
}
int max_score(int N, int X, int Y, long long K, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
for (int i = 0; i < N; i++) adj[i].clear();
for (int i = 0; i < N - 1; i++) {
adj[U[i]].emplace_back(V[i], W[i]);
adj[V[i]].emplace_back(U[i], W[i]);
}
vector<int64_t> dX(N), dY(N);
dfs(X, -1, dX);
dfs(Y, -1, dY);
vector<int> ord(N);
iota(ord.begin(), ord.end(), 0);
sort(ord.begin(), ord.end(), [&](int i, int j) {
return max(dX[i], dY[i]) < max(dX[j], dY[j]);
});
vector<int> path;
for (int i = 0; i < N; i++) {
if (dX[i] + dY[i] == dX[Y]) path.emplace_back(i);
}
vector<int> both(N, 0);
vector<int> chk;
int64_t cur = 0;
auto solve = [&](bool con = 1) {
if (cur > K) return -N * 2;
int cnt = 0;
int64_t cost = cur;
vector<int> c(N, 0);
vector<int> vis(N, 0);
if (con) {
for (int x : path) {
if (both[x]) continue;
cost += min(dX[x], dY[x]);
c[x] = 1;
cnt++;
}
if (cost > K) return -N * 2;
queue<int> q;
for (int i : chk) {
cnt += 2;
q.emplace(i);
vis[i] = 1;
}
while (q.size()) {
int u = q.front();
q.pop();
for (auto [v, w] : adj[u]) {
if (vis[v]) continue;
if (c[v]) continue;
if (dX[v] == dX[u] + w && dY[v] == dY[u] + w) {
q.emplace(v);
vis[v] = 1;
}
}
}
}
priority_queue<pair<int64_t, int>> pq2, pq1;
for (int i = 0; i < N; i++) {
if (both[i]) continue;
if (c[i]) continue;
if (vis[i]) {
pq2.emplace(-max(dX[i], dY[i]), i);
} else {
pq1.emplace(-min(dX[i], dY[i]), i);
}
}
vector<int> order;
while (pq2.size()) {
auto [du, u] = pq2.top();
if (cost - du > K) break;
pq2.pop();
cost -= du;
order.emplace_back(u);
cnt += 2;
}
while (pq2.size()) pq1.emplace(pq2.top()), pq2.pop();
auto upd = [&]() {
while (pq1.size()) {
auto [du, u] = pq1.top();
if (cost - du > K) return;
pq1.pop();
cost -= du;
c[u] = 1;
cnt++;
}
};
upd();
int ans = cnt;
while (order.size()) {
cnt -= 2;
int u = order.back();
order.pop_back();
cost -= max(dX[u], dY[u]);
pq1.emplace(-min(dX[u], dY[u]), u);
upd();
ans = max(ans, cnt);
}
return ans;
};
int res = solve(0);
for (int i = 0; i < N; i++) {
int j = ord[i];
if (dX[j] + dY[j]) {
chk.emplace_back(j);
both[j] = 1;
cur += max(dX[j], dY[j]);
res = max(res, solve());
}
}
return res;
}
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