Submission #840831

#TimeUsernameProblemLanguageResultExecution timeMemory
840831vjudge1Closing Time (IOI23_closing)C++17
43 / 100
532 ms36772 KiB
#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(-min(dX[pq2.top().second], dY[pq2.top().second]), pq2.top().second), 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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