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.Collections;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
import java.util.stream.Collectors;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		int q = sc.nextInt();
		for (int tc = 0; tc < q; tc++) {
			int n = sc.nextInt();
			int[] a = new int[n];
			for (int i = 0; i < a.length; i++) {
				a[i] = sc.nextInt();
			}

			System.out.println(solve(a));
		}

		sc.close();
	}

	static int solve(int[] a) {
		Map<Integer, Integer> valueToCount = new HashMap<>();
		for (int value : a) {
			valueToCount.put(value, valueToCount.getOrDefault(value, 0) + 1);
		}

		int result = 0;
		int limit = Integer.MAX_VALUE;
		for (int count : valueToCount.values().stream().sorted(Collections.reverseOrder())
				.collect(Collectors.toList())) {
			int chosen = Math.min(limit, count);
			result += chosen;

			limit = Math.max(0, chosen - 1);
		}
		return result;
	}
}