#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define F first
#define S second
#define endl '\n'
#define Mp make_pair
#define pb push_back
#define pf push_front
#define size(x) (ll)x.size()
#define all(x) x.begin(), x.end()
#define fuck(x) cout<<"("<<#x<<" : "<<x<<")\n"
const int N = 3e5 + 100, lg = 18;
const ll Mod = 1e9 + 7;
const ll inf = 1e18 + 10;
ll MOD(ll a, ll mod=Mod) {
a%=mod; (a<0)&&(a+=mod); return a;
}
ll poww(ll a, ll b, ll mod=Mod) {
ll res = 1;
while(b > 0) {
if(b%2 == 1) res = MOD(res * a, mod);
b /= 2;
a = MOD(a * a, mod);
}
return res;
}
int t, n, glb, tmp[N], mark[N], ans[N], subt[N], h[N];
pii dp[N];
vector<int> adj[N];
void init(int v, int p=0) {
h[v] = h[p] + 1, subt[v] = 1;
for(int u : adj[v]) {
if(u == p || mark[u] == 1) continue;
init(u, v);
subt[v] += subt[u];
}
}
int fnd(int v, int p=0) {
for(int u : adj[v]) {
if(u == p || mark[u] == 1) continue;
if(subt[glb] / 2 < subt[u]) return fnd(u, v);
}
return v;
}
void dfs2(int v, int p) {
// dp[subt[v]].S = max(dp[subt[v]].S, min(dp[subt[v]].F, h[v] - 1));
// dp[subt[v]].F = max(dp[subt[v]].F, h[v] - 1);
tmp[subt[v]] = max(tmp[subt[v]], h[v] - 1);
for(int u : adj[v]) {
if(u == p || mark[u] == 1) continue;
dfs2(u, v);
}
}
void solve(int v) {
init(v);
glb = v;
v = fnd(v);
init(v);
for(int u : adj[v]) {
if(mark[u] == 1) continue;
dfs2(u, v);
// dfs(u, v);
for(int i=subt[u]; i>=0; i--) {
tmp[i] = max(tmp[i], tmp[i+1]);
ans[2*i] = max(ans[2*i], tmp[i] + dp[i].F + 1);
}
for(int i=subt[u]; i>=0; i--) {
int x = dp[i+1].F;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
x = dp[i + 1].S;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
x = tmp[i];
tmp[i] = 0;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
}
}
fill(tmp, tmp + subt[v] + 2, 0);
fill(dp, dp + subt[v] + 2, Mp(0, 0));
reverse(all(adj[v]));
for(int u : adj[v]) {
if(mark[u] == 1) continue;
dfs2(u, v);
// dfs(u, v);
for(int i=subt[u]; i>=0; i--) {
tmp[i] = max(tmp[i], tmp[i+1]);
ans[2*i] = max(ans[2*i], tmp[i] + dp[i].F + 1);
}
for(int i=subt[u]; i>=0; i--) {
int x = dp[i+1].F;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
x = dp[i + 1].S;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
x = tmp[i];
tmp[i] = 0;
dp[i].S = max(dp[i].S, min(dp[i].F, x));
dp[i].F = max(dp[i].F, x);
}
}
fill(tmp, tmp + subt[v] + 2, 0);
fill(dp, dp + subt[v] + 2, Mp(0, 0));
mark[v] = 1;
for(int u : adj[v]) {
if(mark[u] == 1 )continue;
solve(u);
}
}
void work() {
cin>>n;
for(int v,u,i=1; i<n; i++) {
cin>>v>>u;
adj[v].pb(u); adj[u].pb(v);
}
solve(1);
for(int i=n-(n%2); i>=2; i-=2) {
ans[i] = max(ans[i + 2], ans[i]);
}
for(int i=1; i<=n; i++) {
if(i%2 == 1) cout<<1<<' ';
else cout<<ans[i]<<' ';
}
cout<<endl;
}
void reset_work() {
return;
}
int main() {
ios_base::sync_with_stdio(false), cin.tie(0);
// cin>>t;
t = 1;
while(t --) {
work();
reset_work();
}
return 0;
}
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