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 all(x) x.begin(), x.end()
#define ar array
#define pb push_back
#define ln '\n'
#define int long long
using i64 = long long;
template <class F, class _S>
bool chmin(F &u, const _S &v){
bool flag = false;
if ( u > v ){
u = v; flag |= true;
}
return flag;
}
template <class F, class _S>
bool chmax(F &u, const _S &v){
bool flag = false;
if ( u < v ){
u = v; flag |= true;
}
return flag;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n; cin >> n;
vector <vector<int>> G(n);
for ( int i = 1; i < n; i++ ){
int u, v; cin >> u >> v;
--u, --v;
G[u].pb(v), G[v].pb(u);
}
vector <vector<int>> s(n, vector <int> (n)), d(n, vector <int> (n));
for ( int i = 0; i < n; i++ ){
auto dfs = [&](auto dfs, int u, int p) -> void{
s[i][u] = 1;
for ( auto &v: G[u] ){
if ( v != p ){
d[i][v] = d[i][u] + 1;
dfs(dfs, v, u);
s[i][u] += s[i][v];
}
}
};
dfs(dfs, i, -1);
}
vector <int> sf(n + 1);
for ( int i = 0; i < n; i++ ){
for ( int j = i + 1; j < n; j++ ){
int q = min(s[i][j], s[j][i]) * 2;
chmax(sf[q], d[i][j] + 1);
}
}
for ( int i = n - 1; i > 0; i-- ){
chmax(sf[i], sf[i + 1]);
}
for ( int i = 1; i <= n; i++ ){
cout << (i & 1 ? 1LL : sf[i]) << ln;
}
cout << '\n';
}
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