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;
using ll = long long;
using ld = long double;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  ll q;
  cin >> q;
  for (ll i = 0; i < q; i++) {
    ll n;
    cin >> n;
    map<ll, pair<ll, ll>> m;
    for (ll j = 0; j < n; j++) {
      ll a, b;
      cin >> a >> b;
      m[a].first++;
      m[a].second += b;
    }
    priority_queue<pair<ll, ll>> todo;
    for (auto e : m) todo.push(e.second);
    ll next = 0x3FFFFFFFFFFF;
    priority_queue<ll> active;
    ll a = 0;
    ll b = 0;
    while ((!todo.empty() || !active.empty()) && next > 0) {
      if (active.empty()) next = min(next, todo.top().first);
      if (next == 0) break;
      while (!todo.empty() && todo.top().first == next) {
        active.push(todo.top().second);
        todo.pop();
      }
      a += next;
      b += min(next, active.top());
      active.pop();
      next--;
    }
    cout << a << " " << b << endl;
  }
}