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:
/* package codechef; // don't place package name! */

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

/* Name of the class has to be "Main" only if the class is public. */
public class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
	    int T  =sc.nextInt();
	    for(int t = 0; t<T; t++){
	        int n = sc.nextInt();
	        boolean seen[] = new boolean[n + 1];
	        int freq[] = new int[n];
	        for(int i = 0; i<n; i++)freq[sc.nextInt() - 1]++;
	        Arrays.sort(freq);
	        int cnt = 0;
	        for(int i = 0; i<freq.length; i++){
	            if(freq[i] == 0)continue;
	            cnt+=freq[i];
	            seen[freq[i]] = true;
	            while(i < n - 1 && freq[i] == freq[i + 1]){
	                int j = freq[i] - 1;
	                while(j >= 1 && seen[j] == true)j--;
	                //out.println(j);
	                if(j >= 1){
	                    cnt+=j;
	                    seen[j] = true;
	                }
	                i++;
	            }
	        }
	        out.println(cnt);
	    }
	    out.flush();
	}
}