제출 #528501

#제출 시각아이디문제언어결과실행 시간메모리
528501koioi.org-koosagaInside information (BOI21_servers)C++17
52.50 / 100
3596 ms71056 KiB
#include <bits/stdc++.h> #define sz(v) ((int)(v).size()) #define all(v) (v).begin(), (v).end() using namespace std; typedef long long lint; using pi = pair<int, int>; const int MAXN = 120005; vector<pi> gph[MAXN]; namespace CD{ int sz[MAXN], msz[MAXN], vis[MAXN]; vector<int> dfn; void dfs(int x, int p = -1){ sz[x] = 1; msz[x] = 0; dfn.push_back(x); for(auto &[_, y] : gph[x]){ if(y != p && !vis[y]){ dfs(y, x); sz[x] += sz[y]; msz[x] = max(msz[x], sz[y]); } } } int get_center(int x){ dfn.clear(); dfs(x); pi ret(1e9, -1); for(auto &v : dfn){ int val = max(msz[v], sz(dfn) - sz[v]); ret = min(ret, pi(val, v)); } return ret.second; } pi good[17][MAXN]; pi can[17][MAXN]; void dfs2(int x, int l, int r, int p, vector<pi> &strg, int depth){ can[depth][x] = pi(l, r); strg.emplace_back(l, r); for(auto &[c, y] : gph[x]){ if(!vis[y] && y != p && r < c) dfs2(y, l, c, x, strg, depth); } } void dfs3(int x, int l, int r, int p, int depth){ good[depth][x].second = 1; good[depth][x].first = l; for(auto &[c, y] : gph[x]){ if(!vis[y] && y != p && r > c) dfs3(y, l, c, x, depth); } } int par[MAXN], dep[MAXN]; vector<pi> ds[MAXN]; void init(int n){ memset(can, 0x3f, sizeof(can)); queue<pi> que; que.push(pi(1, -1)); while(sz(que)){ int x = que.front().first; int p = que.front().second; que.pop(); x = get_center(x); vis[x] = 1; par[x] = p; if(~p) dep[x] = dep[p] + 1; good[dep[x]][x] = pi(-1e9, 1); can[dep[x]][x] = pi(1e9, -1e9); for(auto &[c, y] : gph[x]){ if(vis[y]) continue; que.emplace(y, x); dfs2(y, c, c, -1, ds[x], dep[x]); dfs3(y, c, c, -1, dep[x]); } } } int ans[MAXN]; struct query{ int s, e, idx; }; vector<query> qry[MAXN]; void query(int v, int hi, int stackIdx){ for(int w = v; ~w; w = par[w]){ if(!good[dep[w]][v].second) continue; if(good[dep[w]][v].first > hi) continue; int lo = good[dep[w]][v].first + 1; ans[stackIdx]++; qry[w].push_back({lo, hi, stackIdx}); } } int lca(int x, int y){ if(dep[x] > dep[y]) swap(x, y); while(dep[x] < dep[y]) y = par[y]; while(x != y){ x = par[x], y = par[y]; } return x; } bool reach(int u, int v, int d){ int l = lca(u, v); if(!good[dep[l]][u].second) return 0; if(can[dep[l]][v].second > d) return 0; if(good[dep[l]][u].first > d) return 0; if(good[dep[l]][u].first > can[dep[l]][v].first) return 0; return 1; } vector<int> sweep(int n, int q){ for(int i = 1; i <= n; i++){ for(auto &j : qry[i]){ for(auto &k : ds[i]){ if(j.s <= k.first && k.second <= j.e) ans[j.idx]++; } } } return vector<int>(ans, ans + q); } }; struct query{ int t, u, v, lim, idx; }; int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, q; cin >> n >> q; int c = 0; vector<query> qry; for(int i = 0; i < n+q-1; i++){ string s; cin >> s; if(s == "S"){ int u, v; cin >> u >> v; c++; gph[u].emplace_back(c, v); gph[v].emplace_back(c, u); } else if(s == "Q"){ int u, v; cin >> u >> v; int sq = sz(qry); qry.push_back({1, v, u, c, sq}); } else{ int sq = sz(qry); int u; cin >> u; qry.push_back({2, u, -1, c, sq}); } } CD::init(n); for(auto &i : qry){ if(i.t == 2) CD::query(i.u, i.lim, i.idx); } auto swp = CD::sweep(n, sz(qry)); for(auto &i : qry){ if(i.t == 1) cout << (CD::reach(i.u, i.v, i.lim) ? "yes" : "no") << "\n"; else cout << swp[i.idx] << "\n"; } }
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