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>
#define ll long long
#define vt vector
#define pb push_back
#define pii pair<int, int>
#define sz(v) (int)v.size()
using namespace std;
const ll base = 107, mod = 1e9 + 7;
const int mxn = 2e5 + 5, inf = 1e9, sq = 400;
int n;
vt<int>adj[mxn + 1];
int dep[mxn + 1], up[mxn + 1][18], ans[mxn + 1], sz[mxn + 1];
int dfs_sz(int s, int pre){
sz[s] = 1;
for(auto i: adj[s]){
if(i != pre){
sz[s] += dfs_sz(i, s);
}
}
return(sz[s]);
}
pii centroid(int s, int pre, int need){
pii cand = make_pair(n, s);
int mxsub = 0;
for(auto i: adj[s]){
if(i != pre){
cand = min(cand, centroid(i, s, need));
mxsub = max(mxsub, sz[i]);
}
}
mxsub = max(mxsub, need - sz[s]);
cand = min(cand, make_pair(mxsub, s));
return(cand);
}
void dfs_lca(int s, int pre){
for(auto i: adj[s]){
if(i != pre){
dep[i] = dep[s] + 1; up[i][0] = s;
dfs_lca(i, s);
}
}
}
int lca(int u, int v){
if(dep[u] < dep[v])swap(u, v);
int k = dep[u] - dep[v];
for(int i = 0; i < 18; i++){
if(k & (1 << i)){
u = up[u][i];
}
}
if(u == v)return(u);
//cout << u << " " << v << " ";
for(int i = 17; i >= 0; i--){
if(up[u][i] != up[v][i]){
u = up[u][i]; v = up[v][i];
}
}
//cout << u << " " << v << " ";
return(up[u][0]);
}
int dist(int u, int v){
return(dep[u] + dep[v] - 2 * dep[lca(u, v)]);
}
vt<int>events[mxn + 1];
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 1; i < n; i++){
int u, v; cin >> u >> v;
adj[u].pb(v); adj[v].pb(u);
}
int c = centroid(1, -1, dfs_sz(1, -1)).second;
dfs_sz(c, -1);
dfs_lca(c, -1);
for(int i = 1; i < 18; i++){
for(int j = 1; j <= n; j++){
up[j][i] = up[up[j][i - 1]][i - 1];
}
}
//cout << up[10][0];
int ld = c, rd = c, len = 0;
for(int i = 1; i <= n; i++){
events[sz[i]].pb(i);
}
for(int i = n / 2; i >= 1; i--){
for(auto u: events[i]){
//sz[u] will always be the minimum :))
//cout << u << " ";
int expand_rght = dist(ld, u), expand_lft = dist(u, rd);
if(expand_rght > len){
len = expand_rght; rd = u;
}else if(expand_lft > len){
len = expand_lft; ld = u;
}
}
//cout << ld << " " << rd << " " << dist(ld, rd) << "\n";
ans[i] = len + 1;
}
for(int i = 1; i <= n; i++){
if(i & 1)cout << 1 << "\n";
else cout << ans[i / 2] << "\n";
}
}
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