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 JAVA):

Solution:
/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */
import java.io.*;
/**
 *
 * @author arvin
 */
public class Candy_box {
    
    public static void main(String args[]) throws Exception
    {
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        int q=Integer.parseInt(br.readLine());
        while((q--)!=0)
        {
            int n=Integer.parseInt(br.readLine());
            String ab[]=br.readLine().split(" ");
            int a[]=new int[n+1];
            int c[]=new int[n+1];
            for(int i=0;i<n;i++)
            {
                int val=Integer.parseInt(ab[i]);
                a[val]++;
                c[a[val]-1]--;
                c[a[val]]++;
            }
            long ans=0l;
            for(int i=n;i>0;i--)
            {
                if(c[i]>1)
                    c[i-1]+=c[i]-1;
                if(c[i]>0)
                    ans+=i;
            }
            System.out.println(ans);
        }
    }
}