#include <bits/stdc++.h>
using namespace std;
int main() {
int n;
cin >> n;
vector<vector<int>> adj(n);
vector<int> ans(n+1,1);
for(int i=1;i<n;++i) {
int u, v;
cin >> u >> v;
adj[u-1].push_back(v-1);
adj[v-1].push_back(u-1);
}
vector<int> sub(n);
auto dfs0 = [&adj,&sub](auto &self, int x, int p) -> int {
sub[x] = 1;
for(auto i: adj[x])
if(i != p)
sub[x] += self(self, i, x);
return sub[x];
};
auto dfs1 = [&adj,&sub,&ans,n](auto &self, int x, int p, int t, int h) -> void {
ans[min(sub[x], t) * 2] = max(ans[min(sub[x], t) * 2], h);
for(auto i: adj[x])
if(i != p)
self(self, i, x, t, h + 1);
};
auto dfs2 = [&adj,&sub,&dfs1,n](auto &self, int x, int p) -> void {
for(auto i: adj[x])
dfs1(dfs1, i, x, n - sub[i], 2);
for(auto i: adj[x])
if(i != p) {
sub[x] = n - exchange(sub[i], n);
self(self, i, x);
sub[i] = n - exchange(sub[x], n);
}
};
dfs0(dfs0, 0, -1);
dfs2(dfs2, 0, -1);
for(int i=n-1;i--;)
ans[i] = max(ans[i], ans[i+2]);
for(int i=1;i<=n;i++)
cout << ans[i] << "\n";
}
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