Submission #1127065

#TimeUsernameProblemLanguageResultExecution timeMemory
1127065LudisseyFactories (JOI14_factories)C++20
100 / 100
5816 ms439520 KiB
#include "factories.h" #include <bits/stdc++.h> #define int long long #define sz(a) (int)a.size() #define all(a) a.begin(), a.end() using namespace std; vector<vector<pair<int,int>>> neigh; vector<pair<int,int>> parent; vector<vector<int>> parent2; vector<vector<pair<int,int>>> parents; vector<int> childC; vector<int> cindx; vector<int> depth; vector<int> depthD; vector<int> ans; int n; int K; int ct=0; int _n=0; int solu=1e18; const int LOG=18; int build_tree(int x, int p){ childC[x]=1; for (int t=0; t<sz(neigh[x]); t++) { int u=neigh[x][t].first; if(u==p||cindx[u]>=0) continue; childC[x]+=build_tree(u,x); } return childC[x]; } pair<int,int> centroid(int x, int p){ for (int t=0; t<sz(neigh[x]); t++) { int u=neigh[x][t].first; if(u==p||cindx[u]>=0) continue; if(childC[u]*2>=_n) { pair<int,int> c=centroid(u,x); return {c.first,c.second+neigh[x][t].second}; } } return {x,0}; } pair<int,int> decompo(int x, int compoINDEX){ build_tree(x,-1); _n=childC[x]; pair<int,int> c=centroid(x,-1); cindx[c.first]=compoINDEX; for (auto u : neigh[c.first]) { if(cindx[u.first]>=0) continue; pair<int,int> dc=decompo(u.first,compoINDEX+1); parent[dc.first]={c.first,dc.second+u.second}; } return c; } void build_lca(int x, int p, int dp, int dp2){ depth[x]=dp; depthD[x]=dp2; for (int t=0; t<sz(neigh[x]); t++) { int u=neigh[x][t].first; if(u==p) continue; build_lca(u,x,dp+1,dp2+neigh[x][t].second); parent2[u][0]=x; } return; } void lca_prep(){ for (int j = 1; j < LOG; j++) { for (int i = 0; i < n; i++) { parent2[i][j]=parent2[parent2[i][j-1]][j-1]; } } } int lca(int a, int b){ if(depth[b]<depth[a]) swap(a,b); int d=depth[b]-depth[a]; for (int j = LOG-1; j >= 0;j--) { if(d&(1<<j)) b=parent2[b][j]; } if(a==b) return a; for (int j = LOG-1; j >= 0;j--) { if(parent2[a][j]!=parent2[b][j]) { a=parent2[a][j]; b=parent2[b][j]; } } return parent2[a][0]; } int dist(int a, int b){ return depthD[a]+depthD[b]-2*depthD[lca(a,b)]; } void update(int x){ ans[x]=0; for (auto u: parents[x]) { ans[u.first]=min(ans[u.first],u.second); } } int query(int x){ int mn=ans[x]; for (auto u: parents[x]) { mn=min(ans[u.first]+u.second,mn); } return mn; } void clear(int x){ ans[x]=1e18; for (auto u: parents[x]) { ans[u.first]=1e18; } } void Init(signed N, signed A[], signed B[], signed D[]) { n=N; neigh.resize(n); cindx.resize(n); childC.resize(n,0); depth.resize(n,0); parents.resize(n); depthD.resize(n,0); parent.resize(n,{-1,-1}); parent2.resize(n,vector<int>(LOG,0)); ans.resize(n,1e18); for (int i = 0; i < n-1; i++) { int a=A[i],b=B[i]; neigh[a].push_back({b,D[i]}); neigh[b].push_back({a,D[i]}); } cindx.clear(); cindx.resize(n,-1); childC.resize(n); build_lca(0,-1,0,0); parent2[0][0]=0; lca_prep(); decompo(0,0); for (int i = 0; i < n; i++) { int u=parent[i].first; while(u!=-1){ parents[i].push_back({u,dist(i,u)}); u=parent[u].first; } } } long long Query(signed S, signed X[], signed T, signed Y[]) { int mn=1e18; for (int i = 0; i < S; i++) { update(X[i]); } for (int i = 0; i < T; i++) { mn=min(mn,query(Y[i])); } for (int i = 0; i < S; i++) { clear(X[i]); } return mn; }
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