제출 #698927

#제출 시각아이디문제언어결과실행 시간메모리
698927MattTheNub공장들 (JOI14_factories)C++17
33 / 100
8021 ms260892 KiB
#include "factories.h" #include <bits/stdc++.h> using namespace std; template <class T> using v = vector<T>; using int2 = pair<int, int>; using ll = long long; using ll2 = pair<ll, ll>; #define f first #define s second #define dbg(x) cerr << "[" << __LINE__ << "] " << #x << " = " << (x) << '\n'; v<v<int2>> adj; v<int> depth, parent, sz; v<pair<int, ll>> up[20]; v<ll> rdist; void dfs_sz(int node, int pt) { // dbg(node); sz[node] = 1; for (auto next : adj[node]) { if (next.f != pt && parent[next.f] == -2) { dfs_sz(next.f, node); sz[node] += sz[next.f]; } } } void dfs(int node, int pt) { for (auto next : adj[node]) { if (next.f != pt) { depth[next.f] = depth[node] + 1; rdist[next.f] = rdist[node] + next.s; up[0][next.f] = {node, next.s}; dfs(next.f, node); } } } int centroid(int n, int node, int pt) { for (auto next : adj[node]) { if (next.f != pt && sz[next.f] > n / 2 && parent[next.f] == -2) return centroid(n, next.f, node); } return node; } void decomp(int node, int pt) { dfs_sz(node, pt); node = centroid(sz[node], node, pt); parent[node] = pt; for (auto next : adj[node]) { if (parent[next.f] == -2) { decomp(next.f, node); } } } int n; v<ll2> cdist; void Init(int N, int A[], int B[], int D[]) { cdist.assign(N, {LLONG_MAX / 2, -1}); n = N; adj.resize(N); for (int i = 0; i < N - 1; i++) { adj[A[i]].push_back({B[i], D[i]}); adj[B[i]].push_back({A[i], D[i]}); } parent.assign(N, -2); depth.resize(N); rdist.resize(N); for (int i = 0; i < 20; i++) { up[i].resize(N); } sz.resize(N); dfs(0, -1); for (int i = 1; i < 20; i++) { for (int j = 0; j < n; j++) { if (up[i - 1][j].f == -1) { up[i][j].f = -1; } else { up[i][j] = {up[i - 1][up[i - 1][j].f].f, up[i - 1][j].s + up[i - 1][up[i - 1][j].f].s}; } } } decomp(0, -1); } ll dist(int u, int v) { if (depth[u] > depth[v]) swap(u, v); ll dist = 0; int dd = depth[v] - depth[u]; for (int i = 0; i < 20; i++) { if (dd & (1 << i)) { dist += up[i][v].s; v = up[i][v].f; } } if (u == v) return dist; for (int i = 19; i >= 0; i--) { if (up[i][u].f != -1 && up[i][u].f != up[i][v].f) { dist += up[i][u].s + up[i][v].s; u = up[i][u].f; v = up[i][v].f; } } return dist + up[0][u].s + up[0][v].s; } int q = 0; long long Query(int S, int X[], int T, int Y[]) { q++; for (int i = 0; i < S; i++) { for (int u = X[i]; u != -1; u = parent[u]) { if (cdist[u].s < q) { cdist[u].f = LLONG_MAX; cdist[u].s = q; } cdist[u].f = min(cdist[u].f, dist(X[i], u)); // dbg(cdist[X[i]].f); } } // cdist contains the min. distance to any vertex in X (in theory) ll r = LLONG_MAX / 2; for (int i = 0; i < T; i++) { for (int u = Y[i]; u != -1; u = parent[u]) { if (cdist[u].s == q) r = min(r, dist(u, Y[i]) + cdist[u].f); } } return r; }
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