This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define blt(x) __builtin_popcount(x)
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
void print(long double t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T> void print(T v[],T n) {cerr << "["; for(int i = 0; i < n; i++) {cerr << v[i] << " ";} cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
} else {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 2e5 + 10, LOG = 21;
vector<int> adj[N];
bool used[N];
int n, sz[N], most;
int compSize;
struct segTreeMax {
vector<long long> mTree;
int size;
void init(long long n) {
size = 1;
while(size < n) {
size *= 2;
}
mTree.assign(2 * size - 1, -1);
}
void upd(int u, long long v, int x, int lx, int rx) { // set value at pos u
if(rx - lx == 1) {
if(v == -1) {
mTree[x] = -1;
} else {
mTree[x] = max(mTree[x], v);
}
return;
}
int m = (lx + rx) / 2;
if(u < m) {
upd(u, v, 2 * x + 1, lx, m);
}else {
upd(u, v, 2 * x + 2, m, rx);
}
mTree[x] = max(mTree[2 * x + 1], mTree[2 * x + 2]);
}
void upd(int u, long long v) {
upd(u, v, 0, 0, size);
}
long long qry (int l, int r, int x, int lx, int rx) { // range queries
if(l >= rx || lx >= r) {
return -1;
}
if(lx >= l && r >= rx) {
return mTree[x];
}
int m = (rx + lx) / 2;
long long s1 = qry(l, r, 2 * x + 1, lx, m);
long long s2 = qry(l, r, 2 * x + 2, m, rx);
return max(s1, s2);
}
long long qry(int l, int r) {
return qry(l, r, 0, 0, size);
}
};
segTreeMax seg_max;
void dfs_sz(int node, int parent) {
sz[node] = 1, compSize++;
for(auto i: adj[node]) {
if(i == parent || used[i]) continue;
dfs_sz(i, node);
sz[node] += sz[i];
}
}
int get_centroid(int node, int parent) {
for(auto i: adj[node]) {
if(i == parent || used[i]) continue;
if(2 * sz[i] > compSize) {
return get_centroid(i, node);
}
}
return node;
}
int centroid(int u) {
compSize = 0;
dfs_sz(u, 0);
int p = get_centroid(u, 0);
if(!most) most = p;
dfs_sz(p, 0);
return p;
}
bool use[N];
vector<pair<int, int>> curr;
vector<int> full;
int ans[N], bb;
void solve(int node, int parent, int depth, int lim) {
if(depth) {
if(!use[sz[node]]) {
full.push_back(sz[node]);
use[sz[node]] = true;
}
curr.push_back({sz[node], depth});
ans[2 * min(sz[node], lim)] = max(ans[2 * min(sz[node], lim)], depth);
}
for(auto i: adj[node]) {
if(i == parent || used[i]) continue;
if(!depth) {
solve(i, node, depth + 1, n - sz[i]);
} else {
solve(i, node, depth + 1, lim);
}
if(parent) continue;
for(auto j: curr) {
int max_dep = seg_max.qry(j.first, n + 1);
if(max_dep != -1) {
ans[j.first * 2] = max(ans[j.first * 2], max_dep + j.second);
}
}
for(auto j: curr) {
seg_max.upd(j.first, j.second);
}
curr.clear();
}
}
void centroid_decomposition() {
queue<int> q;
q.push(1);
while(!q.empty()) {
auto u = q.front();
q.pop();
int get = centroid(u);
solve(get, 0, 0, 0);
for(auto i: full) {
use[i] = false;
seg_max.upd(i, -1);
}
full.clear();
reverse(all(adj[get]));
solve(get, 0, 0, 0);
for(auto i: full) {
use[i] = false;
seg_max.upd(i, -1);
}
full.clear();
used[get] = true;
for(auto i: adj[get]) {
if(used[i] || sz[i] == 1) continue;
q.push(i);
}
}
}
void solve_() {
cin >> n;
seg_max.init(n + 5);
for(int i = 1; i <= n - 1; i++) {
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
centroid_decomposition();
for(int i = n; i >= 1; i--) {
ans[i] = max(ans[i], ans[i + 1]);
}
for(int i = 1; i <= n; i++) {
if(i & 1) {
cout << 1 << '\n';
} else {
cout << ans[i] + 1 << '\n';
}
}
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message (stderr)
meetings2.cpp: In function 'void setIO(std::string)':
meetings2.cpp:70:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
70 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
meetings2.cpp:71:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
71 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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