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.util.*;

public class Main{

	public static void main(String args[]){
		Scanner ak=new Scanner(System.in);
		int n,t,x;
		t=ak.nextInt();
		for(int z=0;z<t;z++){
			n=ak.nextInt();
			int a[]=new int[n+1];
			for(int i=0;i<n;i++){
				x=ak.nextInt();
				a[x]++;
			}
			ArrayList<Integer> al=new ArrayList<>();
			for(int i=1;i<=n;i++){
				if(a[i]>0){
					al.add(a[i]);
				}
			}
			Collections.sort(al);
			Collections.reverse(al);
			for(int i=1;i<al.size();i++){
				if(al.get(i)>=al.get(i-1)){
					al.set(i,al.get(i-1)-1);
				}
			}
			long sum=0;
			for(int i=0;i<al.size();i++){
				if(al.get(i)<=0){
					break;
				}
				sum+=al.get(i);
			}
			System.out.println(sum);
		}
	}
}