This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) (x).begin(), (x).end()
const int N = 2e5 + 7;
int n;
vector<int> adj[N], s[N];
bool col[N];
int sz[N], dist[N], bst;
int ans[N];
void dfs(int v = 1, int p = 0) {
sz[v] = 1;
for (int u : adj[v]) {
if (u != p) {
dfs(u, v);
sz[v] += sz[u];
}
}
s[sz[v]].push_back(v);
}
void calc(int v = 1, int p = 0) {
if (col[v]) {
dist[v] = max(dist[v], 0);
bst = max(bst, dist[v] + 1);
}
for (int u : adj[v]) {
if (u != p) {
dist[u] = max(dist[u], dist[v] + 1);
calc(u, v);
}
}
}
int upd(int s) {
col[s] = 1;
memset(dist, -1, sizeof(dist));
int ret = 0;
queue<int> q;
q.push(s);
dist[s] = 0;
while (q.size()) {
int v = q.front();
q.pop();
if (col[v])
ret = max(ret, dist[v] + 1);
for (int u : adj[v]) {
if (dist[u] < 0) {
dist[u] = dist[v] + 1;
q.push(u);
}
}
}
return ret;
}
int main() {
cin.tie(0)->sync_with_stdio(false);
cin >> n;
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs();
for (int i = n; i >= 1; i--) {
if (i % 2)
ans[i] = 1;
else {
for (int x : s[i / 2])
ans[i] = max(ans[i], upd(x));
for (int x : s[n - i / 2])
ans[i] = max(ans[i], upd(x));
fill(dist + 1, dist + n + 1, (int) -1e9);
bst = 0;
calc();
ans[i] = max(ans[i], bst + 1);
}
}
for (int i = 1; i <= n; i++)
cout << ans[i] << '\n';
return 0;
}
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