Submission #1096253

#TimeUsernameProblemLanguageResultExecution timeMemory
1096253azberjibiouHighway Tolls (IOI18_highway)C++17
51 / 100
167 ms25040 KiB
#include "highway.h" #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> #define all(v) v.begin(), v.end() #define pb push_back #define lb lower_bound #define gibon ios::sync_with_stdio(false); cin.tie(0); #define fi first #define se second #define pii pair<int, int> #define pll pair<ll, ll> typedef long long ll; using namespace std; const int mxN=300050; const int mxM=10000; const int mxK=60; const ll INF=1e18; int N, M; vector <int> adj[mxN]; vector <pii> E; ll val0; int S1, S2; int dist[mxN][2]; int col[mxN]; vector <int> ct[2]; vector <int> par[mxN]; int ans[2]; void init(int n, vector <int> u, vector <int> v, int a, int b){ N=n; M=u.size(); for(int i=0;i<M;i++){ int t1=u[i], t2=v[i]; adj[t1].push_back(t2); adj[t2].push_back(t1); E.emplace_back(t1, t2); } } void find_edge(){ vector <int> w(M), one(M); val0=ask(w); int s=0, e=M-1; while(s!=e){ int mid=(s+e)/2; for(int i=0;i<M;i++) w[i]=((s<=i && i<=mid) ? 1 : 0); for(int i=0;i<M;i++) if(one[i]==1) w[i]=1; ll valb=ask(w); if(valb>val0) e=mid; else{ for(int i=s;i<=mid;i++) one[i]=1; s=mid+1; } } S1=E[s].fi, S2=E[s].se; } void bfs(int st, int idx){ for(int i=0;i<N;i++) dist[i][idx]=-1; queue <int> que; que.push(st); dist[st][idx]=0; while(que.size()){ int now=que.front(); que.pop(); for(int x : adj[now]) if(dist[x][idx]==-1){ dist[x][idx]=dist[now][idx]+1; que.push(x); } } } void classify_vertex(){ for(int i=0;i<N;i++){ if(dist[i][0]==dist[i][1]){ col[i]=-1; continue; } if(dist[i][0]<dist[i][1]) ct[0].push_back(i), col[i]=0; else ct[1].push_back(i), col[i]=1; } for(int i=0;i<M;i++){ int a=E[i].fi, b=E[i].se; if(col[a]==-1 || col[b]==-1 || col[a]!=col[b]) continue; int c=col[a]; if(dist[a][c]==dist[b][c]) continue; if(dist[a][c]<dist[b][c]) swap(a, b); par[a].push_back(i); } for(int i=0;i<M;i++) if(E[i]==pii(S1, S2) || E[i]==pii(S2, S1)) par[S1].push_back(i), par[S2].push_back(i); } void find_vertex(int idx){ sort(all(ct[idx]), [&](int a, int b){return dist[a][idx]>dist[b][idx];}); int s=0, e=ct[idx].size()-1; while(s!=e){ int mid=(s+e)/2; vector <int> w(M); for(int i=0;i<=mid;i++) for(int x : par[ct[idx][i]]) w[x]=1; ll valw=ask(w); if(valw>val0) e=mid; else s=mid+1; } ans[idx]=ct[idx][s]; } void find_pair(int n, std::vector<int> U, std::vector<int> V, int A, int B) { init(n, U, V, A, B); find_edge(); bfs(S1, 0); bfs(S2, 1); classify_vertex(); find_vertex(0); find_vertex(1); answer(ans[0], ans[1]); }
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