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:
import java.io.*;
import java.util.*;
import java.lang.*;

public class GFG {
	public static void main (String[] args) {
	PrintWriter pw=new PrintWriter(System.out);
	Scanner sc=new Scanner(System.in);
	int q=sc.nextInt();
	int[] a=null;
	for(int k=0;k<q;k++){
	    int count=0,t=0,t1=0;
	    int n=sc.nextInt();
	   a=new int[n+1];
	 
	 for(int i1=0;i1<n;i1++)
      a[sc.nextInt()]++;
      Arrays.sort(a);
      count+=a[n];
      t=a[n];
      for(int i=n-1;i>=0;i--){
           if(t<=0)
             break;
           t1=a[i];
          if(t1<t){
              count+=t1;
              t=t1;
          }
          else{
            t1=t-1;
            count+=t1;
            t=t1;
          }
        
      }
	   a=null;
	  pw.println(count); 
	    
	}

	pw.close();
	}
}