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

129 lines
2.5 KiB
C++

/* Problem URL: https://codeforces.com/contest/2123/problem/E */
#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 t;
cin >> t;
while (t--) {
int n;
cin >> n;
vi a(n);
cin >> a;
vi count(n + 2);
rep(i, n) {
count[a[i]]++;
}
vi pref(n + 3);
pref[0] = count[0] - 1;
vi suf(n + 3);
suf[n] = count[n];
nrep(i, 1, n + 1) {
pref[i] = pref[i - 1] + count[i] - 1;
suf[n - i] = suf[n - i + 1] + count[n - i];
}
int first = 0;
while (count[first] > 0) {
first++;
}
vi ans(n + 1);
for (int i = first; i >= 0; i--) {
int low = count[i];
int high = pref[i] + 2 + suf[i + 1];
ans[low]++;
if (high > n) {
continue;
}
ans[high]--;
}
cout << "1";
nrep(i, 1, n + 1) {
ans[i] += ans[i - 1];
cout << ' ' << ans[i];
}
cout << '\n';
}
}