#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ar array
const int mxN=2e5, INF=1e9;
int n, d[mxN], s[mxN], anc[mxN][18], ans[mxN+1], tin[mxN], tout[mxN];
vector<int> adj[mxN], stk;
set<ar<int, 2>> active;
void dfs(int u=0) {
s[u]=1;
tin[u]=stk.size();
stk.push_back(d[u]);
for (int i=1; i<18; ++i)
anc[u][i]=anc[anc[u][i-1]][i-1];
for (int v : adj[u])
if (v!=anc[u][0]) {
d[v]=d[u]+1, anc[v][0]=u;
dfs(v);
s[u]+=s[v];
stk.push_back(d[u]);
}
tout[u]=stk.size()-1;
}
bool ia(int u, int v) {
return tin[u]<=tin[v]&&tout[v]<=tout[u];
}
int lca(int u, int v) {
if (ia(u, v)||ia(v, u))
return ia(u, v)?u:v;
for (int i=17; ~i; --i)
if (!ia(anc[u][i], v))
u=anc[u][i];
return anc[u][0];
}
int dist(int u, int v) {
return d[u]+d[v]-2*d[lca(u, v)];
}
struct Node {
ll ans, mn, mx, lhs, rhs;
} st[1<<19];
Node cmb(Node a, Node b) {
return {
max({a.ans, b.ans, a.rhs+b.mx, a.mx+b.lhs}),
min(a.mn, b.mn),
max(a.mx, b.mx),
max({a.lhs, b.lhs, -2*a.mn+b.mx}),
max({a.rhs, b.rhs, a.mx-2*b.mn})
};
}
void bld(int u=1, int l=0, int r=2*n-2) {
if (l==r) {
st[u].mn=stk[l];
st[u].mx=st[u].lhs=st[u].rhs=-INF;
return;
}
int mid=(l+r)/2;
bld(2*u, l, mid);
bld(2*u+1, mid+1, r);
st[u]=cmb(st[2*u], st[2*u+1]);
}
void upd(int i, bool on, int u=1, int l=0, int r=2*n-2) {
if (l==r) {
st[u].mx=on?stk[l]:-INF;
st[u].lhs=st[u].rhs=on?-stk[l]:-INF;
return;
}
int mid=(l+r)/2;
i<=mid?upd(i, on, 2*u, l, mid):upd(i, on, 2*u+1, mid+1, r);
st[u]=cmb(st[2*u], st[2*u+1]);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i=1; i<n; ++i) {
int u, v;
cin >> u >> v, --u, --v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfs();
assert(stk.size()==2*n-1);
bld();
vector<ar<int, 2>> subtrees;
for (int i=1; i<n; ++i)
subtrees.push_back({s[i], i});
sort(subtrees.begin(), subtrees.end());
fill(ans, ans+n+1, 1);
int best=1;
for (int i=n/2; i; --i) {
while(subtrees.size()&&subtrees.back()[0]>=i) {
int u=subtrees.back()[1];
subtrees.pop_back();
auto it=active.lower_bound({tin[u]});
if (it!=active.begin()) {
--it;
int v=(*it)[1];
if (tin[u]+s[u]<=tin[v]+s[v]) {
upd(tin[v], 0);
active.erase(it);
}
}
//for (ar<int, 2> x : active)
// best=max(best, dist(u, x[1])+1);
upd(tin[u], 1);
active.insert({tin[u], u});
}
for (ar<int, 2> x : active) {
int u=x[1];
if (n-s[u]>=i) {
int v=u;
for (int j=17; ~j; --j)
if (n-s[anc[v][j]]>=i)
v=anc[v][j];
best=max(best, d[u]-d[v]+2);
}
}
ans[2*i]=best;
}
for (int i=1; i<=n; ++i)
cout << ans[i] << "\n";
return 0;
}
Compilation message
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from meetings2.cpp:1:
meetings2.cpp: In function 'int main()':
meetings2.cpp:93:19: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
93 | assert(stk.size()==2*n-1);
| ~~~~~~~~~~^~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4948 KB |
Output is correct |
| 2 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 4 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4948 KB |
Output is correct |
| 2 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 4 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4948 KB |
Output is correct |
| 2 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4948 KB |
Output is correct |
| 4 |
Incorrect |
3 ms |
4948 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
