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c_cpp
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#include "bits/stdc++.h"
using namespace std;

using ll = long long;
using ull = unsigned long long;
using db = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<db, db>;
using tiii = tuple<int, int, int>;
using str = string;

#define vt vector
#define pb push_back
#define eb emplace_back
#define ins insert
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()

#define mp make_pair
#define mt make_tuple
#define fi first
#define se second

constexpr int maxN = 5000;

vt<int> graph[maxN];

void dfs(int u, int s, vt<vt<int>> &startin, int p = -1, int depth = 0) {
    if (startin[depth + 1][s] == 0) startin[depth + 1][s] = startin[depth][s];
    startin[depth + 1][s] += sz(graph[u]) - 1;
    for (int &g : graph[u]) {
        if (g != p) {
            dfs(g, s, startin, u, depth + 1);
        }
    }
}

void solve() {
    int n;
    cin >> n;
    for (int i = 0; i < n - 1; i++) {
        int u, v;
        cin >> u >> v;
        u--; v--;
        graph[u].pb(v);
        graph[v].pb(u);
    }
    vt<vt<int>> startin(n + 1, vt<int> (n));
    fill(all(startin[0]), 1);
    for (int i = 0; i < n; i++) {
        dfs(i, i, startin);
    }
    vt<int> maxd(n);
    for (int i = 0; i < n; i++) {
        maxd[i] = *max_element(all(startin[i]));
    }
    vt<int> ans(n + 1);
    ans[0] = 0;
    ans[1] = n - 1;
    int curdepth = 0;
    for (int i = 2; i <= n; i++) {
        if (maxd[curdepth] < i) {
            curdepth++;
        }
        ans[i] = ans[i - 1] - curdepth + (n - 1 - curdepth);
    }
    debug(ans);
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);
    int tests = 1;
    // cin >> tests;
    while (tests--) {
        solve();
    }
    return 0;
}