This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
shares some similar ideas to:
https://codeforces.com/contest/1824/problem/B2
*/
const int MOD = 1e9 + 7;
const int N = 4e3 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<ll> adj[N];
vector<ll> subsiz(N), par(N), depth(N);
vector<ll> tin(N), tout(N);
ll timer = 1;
void dfs1(ll u, ll p){
tin[u] = timer++;
subsiz[u] = 1;
par[u] = p;
trav(v,adj[u]){
if(v == p) conts;
depth[v] = depth[u] + 1;
dfs1(v,u);
subsiz[u] += subsiz[v];
}
tout[u] = timer++;
}
ll dis[N][N];
void dfs2(ll u, ll p, ll s){
trav(v,adj[u]){
if(v == p) conts;
dis[s][v] = dis[s][u] + 1;
dfs2(v,u,s);
}
}
void solve(int test_case)
{
ll n; cin >> n;
rep1(i,n-1){
ll u,v; cin >> u >> v;
adj[u].pb(v), adj[v].pb(u);
}
dfs1(1,-1);
rep1(u,n){
dfs2(u,-1,u);
}
vector<ll> ans(2*n+5, 1);
rep1(u,n){
rep1(v,n){
if(depth[u] < depth[v]) conts;
ll d = dis[u][v];
if(tin[v] <= tin[u] and tout[v] >= tout[u]){
ll mn = min(subsiz[u], n-subsiz[v]);
amax(ans[mn*2], d+2);
}
else{
ll mn = min(subsiz[u], subsiz[v]);
amax(ans[mn*2], d+1);
}
}
}
rev(i,n,1){
amax(ans[i], ans[i+1]);
}
rep1(k,n){
if(k & 1){
cout << 1 << endl;
conts;
}
cout << ans[k] << endl;
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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