#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<vector<int>> adj(n);
vector<int> parent(n), siz(n), depth(n);
for (int i = 1; i < n; ++i) {
int a, b;
cin >> a >> b;
a -= 1, b -= 1;
adj[a].push_back(b);
adj[b].push_back(a);
}
auto hld = [&](auto self, int v) -> void {
siz[v] = 1;
for (int &to : adj[v]) {
adj[to].erase(find(adj[to].begin(), adj[to].end(), v));
depth[to] = depth[v] + 1;
self(self, to);
siz[v] += siz[to];
if (siz[to] > siz[adj[v][0]]) {
swap(to, adj[v][0]);
}
}
};
hld(hld, 0);
vector<map<int, int>> st(n);
auto insert = [&](map<int, int> &mp, int x, int y) -> void {
auto it = mp.lower_bound(x);
if (it != mp.end() && it->second >= y) {
return;
}
mp[x] = y;
it = mp.find(x);
while (it != mp.begin() && prev(it)->second <= y) {
it = mp.erase(prev(it));
}
};
constexpr int inf = 1e9 + 7;
auto query = [&](map<int, int> &mp, int x) {
auto it = mp.lower_bound(x);
return it == mp.end() ? -inf : it->second;
};
vector<int> best(n + 1);
auto dfs = [&](auto self, int v) -> void {
if (adj[v].empty()) {
insert(st[v], 1, depth[v]);
return;
}
for (int to : adj[v]) {
self(self, to);
}
int x = adj[v][0];
int now = min(siz[x], n - siz[x]);
int nxt = min(siz[x], n - siz[v]);
for (int s = now; s > nxt; --s) {
int d = query(st[x], s);
best[min(s, n - siz[x])] = max(best[min(s, n - siz[x])], d - depth[v] + 1);
}
swap(st[v], st[x]);
for (int to : adj[v]) {
if (to == x) {
continue;
}
for (int s = 1; s <= siz[to]; ++s) {
int d = query(st[to], s);
best[s] = max(best[s], d + query(st[v], s) - depth[v] * 2 + 1);
best[min(s, n - siz[to])] = max(best[min(s, n - siz[to])], d - depth[v] + 1);
}
for (auto [a, b] : st[to]) {
insert(st[v], a, b);
}
st[to].clear();
}
insert(st[v], siz[v], depth[v]);
};
dfs(dfs, 0);
vector<int> ans(n + 1, 1);
for (int i = 1; i <= n / 2; ++i) {
ans[i * 2] = best[i];
}
for (int i = 1; i <= n; ++i) {
cout << ans[i] << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Incorrect |
0 ms |
212 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |