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;
#define finish(x) return cout << x << endl, 0
#define ll long long
const int N = 200001;
int n, sz[N], blocked[N], tree[2 * N];
vector <int> v[N], ans;
vector <pair <int, int> > c;
void update(int p, int v, int d){
p += n + 1;
if(d == 1) tree[p] = v;
else tree[p] = max(tree[p], v);
for(; p > 1 ; p >>= 1){
tree[p >> 1] = max(tree[p], tree[p ^ 1]);
}
}
int query(int l, int r){
r++;
int ret = 0;
for(l += n + 1, r += n + 1 ; l < r ; l >>= 1, r >>= 1){
if(l & 1) ret = max(ret, tree[l++]);
if(r & 1) ret = max(ret, tree[--r]);
}
return ret;
}
void dfsz(int node, int pnode){
sz[node] = 1;
for(auto &i : v[node]){
if(i == pnode || blocked[i]) continue;
dfsz(i, node);
sz[node] += sz[i];
}
}
int find(int node, int pnode, int n){
for(auto &i : v[node]){
if(i != pnode && !blocked[i] && 2 * sz[i] > n){
return find(i, node, n);
}
}
return node;
}
void dfs(int node, int pnode, int len){
c.push_back(make_pair(sz[node], len));
for(auto &i : v[node]){
if(i == pnode || blocked[i]) continue;
dfs(i, node, len + 1);
}
}
void solve(int node){
dfsz(node, 0);
int cen = find(node, 0, sz[node]);
dfsz(cen, 0);
for(int itt = 0 ; itt < 2 ; itt++){
vector <pair <int, int> > all;
for(auto &i : v[cen]){
if(blocked[i]) continue;
c.clear();
dfs(i, cen, 1);
for(auto &j : c){
int mx = query(j.first, n);
if(mx > 0) ans[j.first] = max(ans[j.first], j.second + mx);
}
for(auto &j : c){
update(j.first, j.second, 0);
ans[min(j.first, sz[cen] - sz[i])] = max(ans[min(j.first, sz[cen] - sz[i])], j.second);
all.push_back(j);
}
}
for(auto &i : all){
update(i.first, 0, 1);
}
memset(tree, 0, sizeof tree);
reverse(v[node].begin(), v[node].end());
}
return;
blocked[cen] = 1;
for(auto &i : v[cen]){
if(blocked[i]) continue;
solve(i);
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int i = 0 ; i < n - 1 ; i++){
int x, y;
cin >> x >> y;
v[x].push_back(y);
v[y].push_back(x);
}
ans.resize(n + 1);
solve(1);
for(int i = n ; i > 1 ; i--){
ans[i - 1] = max(ans[i - 1], ans[i]);
}
for(int i = 1 ; i <= n ; i++){
if(i % 2) cout << "1\n";
else cout << ans[i / 2] + 1 << "\n";
}
}
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