Submission #153972

#TimeUsernameProblemLanguageResultExecution timeMemory
153972MercenaryFactories (JOI14_factories)C++14
15 / 100
8042 ms347092 KiB
#include "factories.h" #include<bits/stdc++.h> #define pb push_back #define mp make_pair using namespace std; const int maxn = 5e5 + 5; const int logn = log2(maxn) + 1; typedef pair<int,int> ii; typedef long long ll; int h[maxn] , P[maxn][logn]; int big[maxn] , vis[maxn] , n , sub[maxn]; ll dep[maxn] , cen[maxn]; vector<int> v[maxn] , now; vector<ii> adj[maxn]; void DFS(int u , int v){ now.pb(u); sub[u] = 1; big[u] = -1; for(auto& c : adj[u]){ if(c.first != v && vis[c.first] == 0){ DFS(c.first , u); sub[u] += sub[c.first]; if(big[u] == -1 || sub[big[u]] < sub[c.first])big[u] = c.first; } } } int FindRoot(int u){ now.clear(); DFS(u , -1); int total = sub[u]; while(big[u] != -1 && sub[big[u]] * 2 >= total)u = big[u]; return u; } void Decompose(int u){ u = FindRoot(u); for(int & c : now)v[c].pb(u); vis[u] = 1; for(auto& c : adj[u]){ if(vis[c.first] == 0){ Decompose(c.first); } } } int LCA(int u , int v){ if(h[u] < h[v])swap(u , v); for(int i = 0 ; i < logn && h[u] != h[v] ; ++i){ if((h[u] - h[v]) & (1 << i))u = P[u][i]; } if(u == v)return u; for(int i = logn - 1 ; i >= 0 ; --i){ if(P[u][i] != P[v][i]){ u = P[u][i]; v = P[v][i]; } } return P[u][0]; } ll dis(int u , int v){ return dep[u] + dep[v] - 2 * dep[LCA(u , v)]; } vector<ll> predis[maxn]; void Init(int N, int A[], int B[], int D[]) { n = N; for(int i = 0 ; i < n - 1 ; ++i){ adj[A[i]].pb(mp(B[i] , D[i])); adj[B[i]].pb(mp(A[i] , D[i])); } function<void(int,int)> DFS = [&](int u , int v){ for(auto & c : adj[u]){ if(c.first != v){ h[c.first] = h[u] + 1; dep[c.first] = dep[u] + c.second; P[c.first][0] = u; for(int i = 1 ; i < logn && P[c.first][i - 1] != -1 ; ++i){ P[c.first][i] = P[P[c.first][i - 1]][i - 1]; } DFS(c.first , u); } } }; memset(P,-1,sizeof P); DFS(0 , -1); Decompose(0); for(int i = 0 ; i < n ; ++i)cen[i] = 1e18; for(int i = 0 ; i < n ; ++i){ for(int & c : v[i]){ predis[i].pb(dis(c , i)); } } } long long Query(int S, int X[], int T, int Y[]) { ll total = 1e18; for(int i = 0 ; i < S ; ++i){ for(int j = (int)v[X[i]].size() -1; j >= 0 ; --j){ cen[v[X[i]][j]] = min(cen[v[X[i]][j]] , predis[X[i]][j]); } } for(int i = 0 ; i < T ; ++i){ ll res = 1e18; for(int j = (int)v[Y[i]].size() -1; j >= 0 ; --j){ res = min(res , predis[Y[i]][j] + cen[v[Y[i]][j]]); } total = min(total , res); } for(int i = 0 ; i < S ; ++i){ for(int c : v[X[i]]){ cen[c] = 1e18; } } return total; }
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