Problem: This problem is actually a subproblem of problem G from the same contest.

There are n candies in a candy box. The type of the i-th candy is a_i (1 ≤ a_i ≤ n).

You have to prepare a gift using some of these candies with the following restriction: the numbers of candies of each type presented in a gift should be all distinct (i. e. for example, a gift having two candies of type 1 and two candies of type 2 is bad). 

It is possible that multiple types of candies are completely absent from the gift. It is also possible that not all candies of some types will be taken to a gift.

Your task is to find out the maximum possible size of the single gift you can prepare using the candies you have.

You have to answer q independent queries.

If you are Python programmer, consider using PyPy instead of Python when you submit your code.

Input

The first line of the input contains one integer q (1 ≤ q ≤ 2 ⋅ 10^5) — the number of queries. Each query is represented by two lines.

The first line of each query contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of candies.

The second line of each query contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ n), where a_i is the type of the i-th candy in the box.

It is guaranteed that the sum of n over all queries does not exceed 2 ⋅ 10^5.

Output

For each query print one integer — the maximum possible size of the single gift you can compose using candies you got in this query with the restriction described in the problem statement.

Example

Input


3
8
1 4 8 4 5 6 3 8
16
2 1 3 3 4 3 4 4 1 3 2 2 2 4 1 1
9
2 2 4 4 4 7 7 7 7


Output


3
10
9

Note

In the first query, you can prepare a gift with two candies of type 8 and one candy of type 5, totalling to 3 candies.

Note that this is not the only possible solution — taking two candies of type 4 and one candy of type 6 is also valid.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int N = 1e6 + 44;
const int X[] = {1, 0, -1, 0, 1, -1, 1, -1};
const int Y[] = {0, 1, 0, -1, 1, 1, -1, -1};
const int mod = 1e9 + 7;
const int INF = INT_MAX;
int sum(int a) {
  int res = 0;
  while (a) {
    res += a % 10;
    a /= 10;
  }
  return res;
}
long long a[N], cnt[N];
int main() {
  ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  int q;
  cin >> q;
  while (q--) {
    int n;
    cin >> n;
    for (int i = int(0); i < int(n); i++) cnt[i] = 0;
    for (int i = int(0); i < int(n); i++) {
      cin >> a[i];
      a[i]--;
      cnt[a[i]]++;
    }
    sort(cnt, cnt + n);
    reverse(cnt, cnt + n);
    long long d = n + 1;
    long long ans = 0;
    for (int i = int(0); i < int(n); i++) {
      long long k = max(0ll, min(d - 1, cnt[i]));
      ans += k;
      d = k;
    }
    cout << ans << "\n";
  }
}