#include <bits/stdc++.h>
using namespace std;
int n;
vector<vector<int>> tree;
pair<int, int> max_dis(int node, int prev = 0) {
pair<int, int> cand = {node, 1};
for (auto next: tree[node]) {
if (next == prev) continue;
pair<int, int> might = max_dis(next, node);
might.second++;
if (might.second > cand.second) cand = might;
}
return cand;
}
int get_diam() {
int end1 = max_dis(1).first;
return max_dis(end1).second;
}
void solve() {
cin >> n;
tree.resize(n+1);
for (int i = 1; i < n; i++) {
int u, v; cin >> u >> v;
tree[u].push_back(v);
tree[v].push_back(u);
}
int diam = get_diam();
for (int k = 1; k <= n; k++) {
if (k & 1) {
cout << 1 << "\n";
}
else {
cout << diam << "\n";
diam -= 2;
}
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
