2025-09-12 14:50:25 -03:00

154 lines
3.2 KiB
C++

/* Problem URL: https://codeforces.com/gym/104736/problem/J */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vvi graph(n);
rep(i, n - 1) {
int a, b;
cin >> a >> b;
a--, b--;
graph[a].push_back(b);
graph[b].push_back(a);
}
vi ans(n);
int prev = n - 1;
if (n > 1) {
n = 1 << (32 - __builtin_clz(n - 1));
}
int inf = INT32_MAX >> 1;
vi seg(n * 2, inf);
auto update = [&](int i, int v) {
seg[i + n] = v;
for (int j = (i + n) / 2; j > 0; j /= 2) {
seg[j] = min(seg[j * 2], seg[j * 2 + 1]);
}
};
function<int(int, int, int, int, int)> search = [&](int i, int l, int r, int tl, int tr) {
if (l > tr || r < tl || seg[i] == inf) {
return -1;
}
if (l == r) {
return i - n;
}
if (l >= tl && r <= tr) {
int mid = (l + r) / 2;
if (seg[i * 2] <= seg[i * 2 + 1]) {
return search(i * 2, l, mid, tl, tr);
}
return search(i * 2 + 1, mid + 1, r, tl, tr);
}
int mid = (l + r) / 2;
int ans1 = search(i * 2, l, mid, tl, tr);
int ans2 = search(i * 2 + 1, mid + 1, r, tl, tr);
if (ans2 == -1 || seg[ans1 + n] < seg[ans2 + n] || (seg[ans1 + n] == seg[ans2 + n] && ans1 < ans2)) {
return ans1;
}
return ans2;
};
function<void(int, int, int)> dfs = [&](int i, int p, int d) {
update(i, d);
ans[i] = search(1, 0, n - 1, i, n - 1) + 1;
for (auto j : graph[i]) {
if (j == p) {
continue;
}
dfs(j, i, d - 1);
}
update(i, inf);
};
dfs(prev, -1, inf - 1);
cout << ans;
}