Submission #305899

#TimeUsernameProblemLanguageResultExecution timeMemory
305899limabeansFactories (JOI14_factories)C++17
15 / 100
8067 ms134864 KiB
#include "factories.h" #include <bits/stdc++.h> using namespace std; template<typename T> void out(T x) { cout << x << endl; exit(0); } #define watch(x) cout << (#x) << " is " << (x) << endl using ll = long long; const ll inf = 1e18; const int maxn = 5e5 + 100; const int LOG = 20; int n; vector<pair<ll,int>> g[maxn]; int par[LOG+1][maxn]; int dep[maxn]; ll len[maxn]; void dfs(int at, int p) { for (int j=1; j<LOG; j++) { par[j][at] = par[j-1][par[j-1][at]]; } for (auto ed: g[at]) { ll wei = ed.first; int to = ed.second; if (to == p) continue; dep[to] = 1+dep[at]; len[to] = len[at] + wei; par[0][to] = at; dfs(to, at); } } int lca(int u, int v) { if (dep[u]<dep[v]) swap(u, v); int dx = dep[u]-dep[v]; for (int j=0; j<LOG; j++) { if (dx>>j&1) { u = par[j][u]; } } if (u == v) return u; for (int j=LOG-1; j>=0; j--) { if (par[j][u] != par[j][v]) { u = par[j][u]; v = par[j][v]; } } return par[0][u]; } ll dist(int u, int v) { int mid = lca(u, v); return len[u] + len[v] - 2ll*len[mid]; } vector<int> ctree[maxn]; bool bad[maxn]; int siz[maxn]; int findCenter(int at) { function<void(int,int)> dfs = [&](int at, int p) { siz[at] = 1; for (auto ed: g[at]) { int to = ed.second; if (!bad[to] && to != p) { dfs(to, at); siz[at] += siz[to]; } } }; dfs(at, -1); int all = siz[at]; bool ok = true; while (ok) { ok = false; for (auto ed: g[at]) { int to = ed.second; if (bad[to]) continue; if (siz[to] > siz[at]) continue; if (siz[to]*2 >= all) { at = to; ok = true; break; } } } return at; } int build(int at) { at = findCenter(at); bad[at] = true; for (auto ed: g[at]) { int to = ed.second; if (!bad[to]) { int nc = build(to); ctree[at].push_back(nc); ctree[nc].push_back(at); } } return at; } int cpar[maxn]; void cdfs(int at, int p, int dep=0) { assert(dep <= 23); for (int to: ctree[at]) { if (to == p) continue; cpar[to] = at; cdfs(to, at, dep+1); } } ll nearest[maxn]; void Init(int N, int A[], int B[], int D[]) { n = N; for (int i=0; i<n-1; i++) { int u = A[i]; int v = B[i]; ll d = D[i]; g[u].push_back({d,v}); g[v].push_back({d,u}); } dfs(0, -1); int root = build(0); cpar[root] = -1; cdfs(root, -1); for (int i=0; i<n+10; i++) { nearest[i] = inf; } } long long Query(int S, int X[], int T, int Y[]) { ll res = inf; set<int> v; for (int i=0; i<S; i++) { int node = X[i]; int at = node; int iter=0; while (~at) { v.insert(at); nearest[at] = min(nearest[at], dist(node, at)); at = cpar[at]; assert(++iter <= 23); } } for (int i=0; i<T; i++) { int node = Y[i]; int at = node; int iter=0; while (~at) { v.insert(at); ll cur = nearest[at] + dist(node, at); res = min(res, cur); at = cpar[at]; assert(++iter <= 23); } } for (int x: v) { nearest[x] = inf; } return res; }
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