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 int long long
const int MAXN = 2e5 + 10;
const int MOD = 998244353;
#define ll __int128
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
ll read() { int x; cin >> x; return (ll)x; }
long long bm(long long b, long long p) {
if(p==0) return 1 % MOD;
long long r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
long long inv(long long b) {
return bm(b, MOD-2);
}
long long f[MAXN];
long long nCr(int n, int r) {
long long ans = f[n]; ans *= inv(f[r]); ans %= MOD;
ans *= inv(f[n-r]); ans %= MOD; return ans;
}
void precomp() { for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD); }
int fastlog(int x) {
return (x == 0 ? -1 : 32 - __builtin_clz(x) - 1);
}
void gay(int i) { cout << "Case #" << i << ": "; }
vector<int> adj[MAXN];
int n;
vector<int> e;
unordered_map<int, int> sz[MAXN]; // (node, par)
int dep[MAXN];
int dfs(int node, int prv) {
int r = 1;
dep[node] = (prv == -1 ? 0 : dep[prv] + 1);
e.push_back(node);
for(int x: adj[node]) {
if(x != prv) {
int d = dfs(x, node);
sz[x][node] = d;
sz[node][x] = n - d;
r += d;
e.push_back(node);
}
}
return r;
}
int l[MAXN], r[MAXN];
pair<int, int> st[19][2*MAXN];
int dist(int x, int y) {
int m1 = min(l[x], l[y]);
int m2 = max(r[x], r[y]);
int k = 32 - __builtin_clz(m2 - m1 + 1) - 1;
int lca = min(st[k][m1], st[k][m2 - (1<<k) + 1]).second;
return dep[x] + dep[y] - 2 * dep[lca];
}
void solve(int tc) {
cin >> n;
for(int i=1; i<n; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
dfs(1, -1);
for(int i=0; i<e.size(); i++) r[e[i]] = i;
for(int i=e.size()-1; i>=0; i--) l[e[i]] = i;
for(int i=0; i<e.size(); i++) st[0][i] = {dep[e[i]], e[i]};
for(int i=1; i<19; i++) {
for(int j=0; j<e.size(); j++) {
if(j+(1<<i)-1 < e.size()) st[i][j] = min(st[i-1][j], st[i-1][j+(1<<(i-1))]);
}
}
int ans[n + 1];
for(int i=1; i<=n; i++) ans[i] = 1;
for(int i=1; i<=n; i++) {
for(int j=i+1; j<=n; j++) {
for(int x: adj[i]) {
if(dist(i, x) + dist(x, j) == dist(i, j)) {
for(int y: adj[j]) {
if(dist(i, y) + dist(y, j) == dist(i, j)) {
int uwu = dist(i, j) + 1;
int mi = min(sz[i][x], sz[j][y]) * 2;
ans[mi] = max(ans[mi], uwu);
}
}
}
}
}
}
for(int i=n; i>=4; i--) {
if(!(i&1)) {
ans[i - 2] = max(ans[i - 2], ans[i]);
}
}
for(int i=1; i<=n; i++) cout << ans[i] << "\n";
}
int32_t main() {
precomp();
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
// I don't know geometry.
Compilation message (stderr)
meetings2.cpp: In function 'void solve(long long int)':
meetings2.cpp:69:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
69 | for(int i=0; i<e.size(); i++) r[e[i]] = i;
| ~^~~~~~~~~
meetings2.cpp:71:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
71 | for(int i=0; i<e.size(); i++) st[0][i] = {dep[e[i]], e[i]};
| ~^~~~~~~~~
meetings2.cpp:73:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
73 | for(int j=0; j<e.size(); j++) {
| ~^~~~~~~~~
meetings2.cpp:74:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
74 | if(j+(1<<i)-1 < e.size()) st[i][j] = min(st[i-1][j], st[i-1][j+(1<<(i-1))]);
| ~~~~~~~~~~~^~~~~~~~~~
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