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.*;

public class ProblemG {

    public static InputStream inputStream = System.in;

    public static OutputStream outputStream = System.out;

    public static void main(String[] args) {
        MyScanner scanner = new MyScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);

        int t = scanner.nextInt();
        for (int p = 0; p < t; p++) {
            int n = scanner.nextInt();
            Map<Integer, Pair<Integer, Integer>> map = new HashMap<>();
            for (int i = 0; i < n; i++) {
                int x = scanner.nextInt();
                int y = scanner.nextInt();
                if (!map.containsKey(x)) {
                    map.put(x, new Pair<>(0, 0));
                }
                Pair<Integer, Integer> pair = map.get(x);
                pair.first++;
                pair.second += y;
                map.put(x, pair);
            }

            List<Pair<Integer, Integer>> countOfTypes = new ArrayList<>(map.values());
            countOfTypes.sort(Comparator.comparingInt(pair -> pair.first));
            Collections.reverse(countOfTypes);

            int count = 0;
            int good = 0;
            PriorityQueue<Integer> priorityQueue = new PriorityQueue<>((a, b) -> Integer.compare(b, a));
            int i = 0;
            int x = countOfTypes.get(i).first;
            while (i < countOfTypes.size()) {
                if (countOfTypes.get(i).first < x && priorityQueue.isEmpty()) {
                    x = countOfTypes.get(i).first;
                }
                while (i < countOfTypes.size() && x == countOfTypes.get(i).first) {
                    priorityQueue.add(countOfTypes.get(i).second);
                    i++;
                }
                count += x;
                good += Math.min(priorityQueue.poll(), x);
                x--;
            }
            while (x > 0 && !priorityQueue.isEmpty()) {
                count += x;
                good += Math.min(priorityQueue.poll(), x);
                x--;
            }

            out.println(count + " " + good);

        }




        out.flush();
    }

    private static class MyScanner {
        private BufferedReader bufferedReader;
        private StringTokenizer stringTokenizer;

        private MyScanner(InputStream inputStream) {
            bufferedReader = new BufferedReader(new InputStreamReader(inputStream));
        }

        private String next() {
            while (stringTokenizer == null || !stringTokenizer.hasMoreElements()) {
                try {
                    stringTokenizer = new StringTokenizer(bufferedReader.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return stringTokenizer.nextToken();
        }

        private int nextInt() {
            return Integer.parseInt(next());
        }

        private long nextLong() {
            return Long.parseLong(next());
        }

        private double nextDouble() {
            return Double.parseDouble(next());
        }

        private String nextLine() {
            String str = "";
            try {
                str = bufferedReader.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }

    private static class Pair<F, S> {

        private F first;

        private S second;

        public Pair() {}

        public Pair(F first, S second) {
            this.first = first;
            this.second = second;
        }
    }

    private static class Triple<F, S, T> {

        private F first;

        private S second;

        private T third;

        public Triple() {}

        public Triple(F first, S second, T third) {
            this.first = first;
            this.second = second;
            this.third = third;
        }
    }
}