Submission #869870

#TimeUsernameProblemLanguageResultExecution timeMemory
869870garam1732Meetings 2 (JOI21_meetings2)C++14
100 / 100
716 ms42628 KiB
#include <bits/stdc++.h> using namespace std; #define ff first #define ss second #define bl " " #define endl "\n" #define all(v) v.begin(), v.end() #define comp(v) v.erase(unique(all(v)), v.end()) typedef long long ll; typedef pair<int, int> pi; typedef pair<pi, int> pii; typedef pair<ll, ll> pll; const int MAXN = 200200; const int MOD = 998244353; vector<int> adj[MAXN]; priority_queue<pi> pq[MAXN], q; set<pi> st; bool vst[MAXN]; int res[MAXN], num[MAXN], tmp[MAXN]; int dst[MAXN], cnt[MAXN]; void dfs1(int here, int par) { cnt[here] = 1; if(vst[here]) return; for(int there : adj[here]) { if(there == par) continue; dfs1(there, here); cnt[here] += cnt[there]; } } void dfs2(int here, int par, int t) { if(!vst[here]) { for(int there : adj[here]) { if(there == par) continue; dst[there] = dst[here] + 1; dfs2(there, here, t); } } int x = (num[here] < num[par] ? num[here] : num[1]-num[par]); pq[t].push(pi(x, dst[here])); } void solve(int here) { dfs1(here, here); int n = cnt[here]; for(int par = here; ; ) { bool flag = true; for(int there : adj[here]) { if(there == par || vst[there]) continue; if(cnt[there]*2 > n) { flag = false; par = here; here = there; break; } } if(flag) break; } dst[here] = 0; int t = 0; for(int there : adj[here]) { while(pq[t].size()) pq[t].pop(); dst[there] = dst[here] + 1; dfs2(there, here, t); tmp[t] = 0; t++; } if(t == 0) return; while(q.size()) q.pop(); for(int i = 0; i < t; i++) q.push(pi(pq[i].top().ff, i)); st.clear(); int mx = q.top().ff; while(q.size()) { while(q.size() && q.top().ff == mx) { pi x = q.top(); q.pop(); if(st.find(pi(tmp[x.ss], x.ss)) != st.end()) st.erase(pi(tmp[x.ss], x.ss)); tmp[x.ss] = max(tmp[x.ss], pq[x.ss].top().ss); st.insert(pi(tmp[x.ss], x.ss)); pq[x.ss].pop(); if(pq[x.ss].size()) q.push(pi(pq[x.ss].top().ff, x.ss)); } //cout<<mx<<bl<<it->ff<<bl<<next(it)->ff<<endl; if(st.size() > 1) { auto it = prev(st.end()); res[mx] = max(res[mx], it->ff+prev(it)->ff+1); } if(q.size()) mx = q.top().ff; } vst[here] = 1; for(int there : adj[here]) { if(!vst[there]) solve(there); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; for(int i = 1; i < n; i++) { int a, b; cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); } dfs1(1, 1); for(int i = 1; i <= n; i++) num[i] = cnt[i]; int idx = 0; for(int i = 2; i <= n; i++) idx = max(idx, min(cnt[i], n-cnt[i])); res[n] = 1; res[idx] = 2; solve(1); for(int i = n-1; i; i--) res[i] = max(res[i], res[i+1]); for(int i = 1; i <= n; i++) cout << (i%2 ? 1 : res[i/2]) << endl; }
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