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:
// No sorceries shall previal. //
     
import java.util.Arrays;
import java.util.Scanner;
import java.io.PrintWriter;
     
    public class InVoker{
    	
    	public static void main(String args[]) {
    		
    		
    		Scanner inp = new Scanner(System.in);
    		PrintWriter out= new PrintWriter(System.out);
    		
    		int q=inp.nextInt();
    		while(q-->0)
    		{
    			int n= inp.nextInt();
    			int a[]= new int[n+1];
    			for(int i=0;i<n;i++)
    			{
    				a[inp.nextInt()]++;
    			}
    			Arrays.sort(a,0,n+1);
    			int sum=a[n];
    			int max=a[n];
    			for(int i=n-1;i>0 && max>0;i--)
    			{
    				if(a[i]>=max)
    				{
    					sum+=max-1;
    					max--;
    				}
    				else
    				{
    					sum+=a[i];
    					max=a[i];
    				}
    			}
    			
    			out.println(sum);	
    			
    		}
    		out.close();
    	}
    	
    }