#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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