Submission #1054062

#TimeUsernameProblemLanguageResultExecution timeMemory
1054062manhlinh1501Factories (JOI14_factories)C++17
100 / 100
1620 ms181888 KiB
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; using i64 = long long; const int MAXN = 5e5 + 5; const int LOGN = 20; const i64 oo64 = 1e18; #define ALL(a) (a).begin(), (a).end() int N, Q; vector<pii> adj[MAXN]; int up[MAXN][LOGN]; int depth[MAXN]; int tin[MAXN]; int tout[MAXN]; int tdfs = 0; i64 dist[MAXN]; i64 dp[MAXN][2]; vector<int> g[MAXN]; void DFS(int u, int p) { depth[u] = depth[p] + 1; tin[u] = ++tdfs; up[u][0] = p; for(int i = 1; i < LOGN; i++) up[u][i] = up[up[u][i - 1]][i - 1]; for(auto [v, w] : adj[u]) { if(v == p) continue; dist[v] = dist[u] + w; DFS(v, u); } tout[u] = tdfs; } bool inside(int u, int v) { return tin[u] <= tin[v] and tout[v] <= tout[u]; } int LCA(int u, int v) { if(depth[u] != depth[v]) { if(depth[u] < depth[v]) swap(u, v); int k = depth[u] - depth[v]; for(int i = 0; (1 << i) <= k; i++) { if(k >> i & 1) u = up[u][i]; } } if(u == v) return u; int k = 31 - __builtin_clz(depth[u]); for(int i = k; i >= 0; i--) { if(up[u][i] != up[v][i]) { u = up[u][i]; v = up[v][i]; } } return up[u][0]; } i64 get_dist(int u, int v) { return dist[u] + dist[v] - 2 * dist[LCA(u, v)]; } void Init(int N, int A[], int B[], int D[]) { for(int i = 0; i < N - 1; i++) { int u = A[i]; int v = B[i]; int w = D[i]; u++; v++; adj[u].emplace_back(v, w); adj[v].emplace_back(u, w); } for(int i = 1; i <= N; i++) dp[i][0] = dp[i][1] = oo64; DFS(1, 0); } long long Query(int S, int X[], int T, int Y[]) { vector<int> ver; for(int i = 0; i < S; i++) { int u = X[i]; u++; dp[u][0] = dist[u]; ver.emplace_back(u); } for(int i = 0; i < T; i++) { int u = Y[i]; u++; dp[u][1] = dist[u]; ver.emplace_back(u); } sort(ALL(ver), [&](const int a, const int b) { return tin[a] < tin[b]; }); ver.resize(unique(ALL(ver)) - ver.begin()); int M = ver.size(); for(int i = 0; i < M; i++) ver.emplace_back(LCA(ver[i], ver[i + 1])); sort(ALL(ver), [&](const int a, const int b) { return tin[a] < tin[b]; }); ver.resize(unique(ALL(ver)) - ver.begin()); stack<int> st; for(int x : ver) { while(!st.empty() and inside(st.top(), x) == false) st.pop(); if(!st.empty()) { int u = st.top(); g[u].emplace_back(x); } st.emplace(x); } reverse(ALL(ver)); for(int x : ver) { for(int v : g[x]) { for(int j = 0; j < 2; j++) dp[x][j] = min(dp[x][j], dp[v][j]); } } i64 ans = oo64; for(int x : ver) { ans = min(ans, dp[x][0] + dp[x][1] - 2 * dist[x]); } for(int x : ver) { g[x].clear(); dp[x][0] = dp[x][1] = oo64; } return ans; }
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