Submission #784504

#TimeUsernameProblemLanguageResultExecution timeMemory
784504PoonYaPatMeetings 2 (JOI21_meetings2)C++14
100 / 100
352 ms48428 KiB
#include <bits/stdc++.h> using namespace std; int n,sz[200005],level[200005],p[200005][19]; vector<int> adj[200005],group[200005]; void dfs_sz(int x, int par) { sz[x]=1; for (auto s : adj[x]) { if (s==par) continue; dfs_sz(s,x); sz[x]+=sz[s]; } } int find_cen(int x, int par) { for (auto s : adj[x]) if (s!=par && sz[s]>n/2) return find_cen(s,x); return x; } void dfs(int x, int par) { p[x][0]=par; level[x]=level[par]+1; group[sz[x]].push_back(x); for (int i=1; i<19; ++i) p[x][i]=p[p[x][i-1]][i-1]; for (auto s : adj[x]) if (s!=par) dfs(s,x); } int lca(int x, int y) { if (level[x]<level[y]) swap(x,y); int dif=level[x]-level[y]; for (int i=0; i<19; ++i) { if (dif&(1<<i)) { x=p[x][i]; } } if (x==y) return x; for (int i=18; i>=0; --i) { if (p[x][i]!=p[y][i]) { x=p[x][i]; y=p[y][i]; } } return p[x][0]; } int dis(int x, int y) { return level[x]+level[y]-2*level[lca(x,y)]; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin>>n; for (int i=0; i<n-1; ++i) { int a,b; cin>>a>>b; adj[a].push_back(b); adj[b].push_back(a); } dfs_sz(1,0); int cen=find_cen(1,0); dfs_sz(cen,0); dfs(cen,0); vector<int> ans(n+1,1); int x=cen,y=cen,dia=0; for (int i=n/2; i>=1; --i) { for (auto s : group[i]) { int d1=dis(s,x), d2=dis(s,y); if (d1<d2) swap(d1,d2), swap(x,y); if (d1>dia) dia=d1, y=s; } ans[2*i]=dia+1; } for (int i=1; i<=n; ++i) cout<<ans[i]<<"\n"; }
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