This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << " " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << " " << j << " " << #i << " " << q << " " << #p << endl;
#define show4(x,y) for(auto it:y) cout << it << " "; cout << #x << endl;
typedef pair<long long,int>pii;
typedef pair<pii,pii>pi2;
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
vector<int>adj[200005];
int sz[200005];
int two[22][200005];
int d[200005];
int n;
void dfs(int index, int par){
sz[index]=1;
for(int x=0;x<20;x++){
two[x+1][index]=two[x][two[x][index]];
}
for(auto it:adj[index]){
if(it==par) continue;
two[0][it]=index;
d[it]=d[index]+1;
dfs(it,index);
sz[index]+=sz[it];
}
}
int cent(int index, int par){
for(auto it:adj[index]){
if(it!=par&&sz[it]>n/2){
return cent(it,index);
}
}
return index;
}
int lca(int a, int b){
if(d[a]>d[b]) swap(a,b);
int diff=d[b]-d[a];
for(int x=0;x<20;x++){
if(diff&(1<<x)){
b=two[x][b];
}
}
if(a==b) return a;
for(int x=19;x>=0;x--){
if(two[x][a]!=two[x][b]){
a=two[x][a];
b=two[x][b];
}
}
return two[0][a];
}
int f(int a, int b){
int hold=lca(a,b);
return d[a]+d[b]-2*d[hold];
}
void solve(){
cin >> n;
int temp,temp2;
for(int x=0;x<n-1;x++){
cin >> temp >> temp2;
adj[temp].push_back(temp2);
adj[temp2].push_back(temp);
}
dfs(1,-1);
int rt=cent(1,-1);
dfs(rt,-1);
//show(check,1);
int ans[n+5];
memset(ans,0,sizeof(ans));
pii cur={rt,rt};
int dist=0;
vector<pii>v;
for(int x=1;x<=n;x++){
v.push_back({sz[x],x});
}
sort(v.begin(),v.end());
reverse(v.begin(),v.end());
for(int x=0;x<n;x++){
int index=v[x].second;
int hold=f(cur.first,index);
int hold2=f(cur.second,index);
if(hold>dist){
cur={cur.first,index};
dist=hold;
}
if(hold2>dist){
dist=hold2;
cur={cur.second,index};
}
ans[sz[index]]=dist;
}
for(int x=n;x>=0;x--){
ans[x]=max(ans[x+1],ans[x]);
}
for(int x=1;x<=n;x++){
if(x%2){
cout << 1 << "\n";
}
else{
cout << ans[x/2]+1 << "\n";
}
}
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0);
int t=1;
//cin >> t;
while(t--){
solve();
}
}
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