제출 #240019

#제출 시각아이디문제언어결과실행 시간메모리
240019rajarshi_basu공장들 (JOI14_factories)C++14
0 / 100
507 ms34388 KiB
//#pragma GCC optimize("Ofast") //#pragma GCC target("avx,avx2,fma") #include <stdio.h> #include <stdlib.h> #include <iostream> #include <vector> #include <algorithm> #include <fstream> #include <queue> #include <deque> #include <iomanip> #include <cmath> #include <set> #include <stack> #include <map> #include <unordered_map> #include "factories.h" #define FOR(i,n) for(int i=0;i<n;i++) #define FORE(i,a,b) for(int i=a;i<=b;i++) #define ll long long #define ld long double #define vi vector<int> #define pb push_back #define ff first #define ss second #define il pair<int,ll> #define ii pair<int,int> #define lii pair<pair<ll,int>,il> #define iii pair<int,ii> #define iiii pair<iii,int> #define pll pair<ll,ll> #define plll pair<ll,pll> #define vv vector #define endl '\n' using namespace std; const ll INF = 1e17; const int MAXN = 5e3+5; const int LOGN = 23; int n; // ==================== Sparse table and basic graph setup ============================ vv<ii> g[MAXN]; ll dist[MAXN]; int depth[MAXN]; ii minCost[LOGN][4*MAXN]; int euler[MAXN]; int tin[MAXN]; int tout[MAXN]; int T = 0; void dfs_init_setup_lca(int node,int p = -1){ tin[node] = T; tout[node] = T; euler[T++] = node; //ancestors[0][node] = p; for(auto e: g[node]){ if(e.ff == p)continue; dist[e.ff] = e.ss + dist[node]; depth[e.ff] = 1+ depth[node]; dfs_init_setup_lca(e.ff,node); tout[node] = T; euler[T++] = node; } } inline ii combine(ii a,ii b){ if(a.ff <= b.ff)return a; else return b; } int _log[4*MAXN+1]; void calculateSparseTables(){ _log[1] = 0; for (int i = 2; i <= T; i++) _log[i] = _log[i/2] + 1; FOR(i,LOGN){ if(i == 0){ FOR(j,T){ minCost[i][j] = {depth[euler[j]],euler[j]}; } }else{ int add = (1<<(i-1)); FOR(j,T){ int nxt = j+add; if(nxt >= T){ minCost[i][j] = minCost[i-1][j]; }else{ ii a = minCost[i-1][j]; ii b = minCost[i-1][nxt]; minCost[i][j] = combine(a,b); } } } } } int LCA(int a,int b){ if(a == b)return a; if(tin[a] > tin[b])swap(a,b); if(tout[a] > tout[b])return a; int L = tout[a]; int R = tin[b]; int j = _log[R - L + 1]; return combine(minCost[j][L], minCost[j][R - (1 << j) + 1]).ss; } ll distance(int a,int b){ return dist[a] + dist[b] - 2*dist[LCA(a,b)]; } // ==================== Centroid tree construction ==================================== bool blocked[MAXN]; int subtree[MAXN]; int centroidParent[MAXN]; int ctr = 0; void dfs_centroid_setup(int node,int p = -1){ ctr++; subtree[node] = 1; for(auto e: g[node]){ if(blocked[e.ff] or e.ff == p)continue; dfs_centroid_setup(e.ff,node); subtree[node] += subtree[e.ff]; } } int getCentroid(int node,int tot,int p = -1){ for(auto e: g[node]){ if(blocked[e.ff] or e.ff == p)continue; if(2*subtree[e.ff] > tot)return getCentroid(e.ff,tot,node); } return node; } queue<ii> subtrees_remaining; void processCentroid(int node,int par){ dfs_centroid_setup(node); int c = getCentroid(node,subtree[node]); centroidParent[c] = par; for(auto e: g[c]){ if(blocked[e.ff])continue; subtrees_remaining.push({e.ff,c}); } blocked[c] = 1; } void centroidDecomp(){ subtrees_remaining.push({0,-1}); while(!subtrees_remaining.empty()){ auto e = subtrees_remaining.front();subtrees_remaining.pop(); processCentroid(e.ff,e.ss); } } // ==================== Problem Specific Stuff ======================================= ll ans[MAXN]; void Init(int n, int A[], int B[], int D[]) { ::n = n; FOR(i,n-1){ g[A[i]].pb({B[i],D[i]}); g[B[i]].pb({A[i],D[i]}); } dfs_init_setup_lca(0); calculateSparseTables(); centroidDecomp(); //cout << ctr << endl; FOR(i,n)ans[i] = INF; } long long Query(int S, int X[], int T, int Y[]) { vv<int> affectedNodes; //cout << "LCA: " << LCA(2,5) << " " << distance(2,5) << endl; FOR(i,S){ int item = X[i]; while(item != -1){ affectedNodes.pb(item); ans[item] = min(ans[item],distance(item,X[i])); item = centroidParent[item]; } } ll d = INF; FOR(i,T){ int item = Y[i]; while(item != -1){ d = min(d,distance(item,Y[i])+ans[item]); item = centroidParent[item]; } } for(auto e: affectedNodes)ans[e] = INF; return d; }
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