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 pp[200005];
int d[200005];
void dfs(int index, int par){
for(auto it:adj[index]){
if(it==par) continue;
d[it]=d[index]+1;
pp[it]=index;
dfs(it,index);
}
}
bool visited[200005];
int cnt[200005];
int cnt2[200005];
void dfs2(int index, int take, int type){
visited[index]=true;
if(type==1)cnt[take]++;
else cnt2[take]++;
for(auto it:adj[index]){
if(visited[it]) continue;
dfs2(it,take,type);
}
}
void solve(){
int n;
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);
}
//show(check,1);
dfs(1,-1);
pii best={-1,-1};
for(int x=1;x<=n;x++){
best=max(best,{d[x],x});
}
memset(d,0,sizeof(d));
dfs(best.second,-1);
pii best2={-1,-1};
for(int x=1;x<=n;x++){
best2=max(best2,{d[x],x});
}
//show(check,1);
int cur=best2.second;
vector<int>path;
while(1){
path.push_back(cur);
visited[cur]=true;
if(cur==best.second) break;
cur=pp[cur];
}
int half=(int)path.size()/2;
for(int x=0;x<half;x++){
dfs2(path[x],x,1);
}
//show(check,1);
for(int x=(int)path.size()-1;x>=(int)path.size()-half;x--){
dfs2(path[x],(int)path.size()-1-x,2);
}
int ptr=0;
int ptr2=0;
for(int x=1;x<=n;x++){
if(x%2==1){
cout << 1 << "\n";
}
else{
while(ptr<half&&cnt[ptr]==0){
ptr++;
//show(loop,1);
}
while(ptr2<half&&cnt2[ptr2]==0) ptr2++;
cout << (int)path.size()-ptr-ptr2 << "\n";
cnt[ptr]--;
cnt2[ptr2]--;
}
}
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0);
int t=1;
//freopen("in.txt","w",stdout);
//cin >> t;
while(t--){
solve();
}
}
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