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.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.List;
import java.util.Queue;
import java.util.Set;
import java.util.StringTokenizer;
import java.util.TreeSet;


public class Main {

	static class Task {
		
		int NN = 300005;
		int MOD = 1000000007;
		int INF = 2009000000;
		long INFINITY = 2000000000000000000L;
		
		public void solve(InputReader in, PrintWriter out) {
			int t = in.nextInt();
			while(t-->0) {
				int n = in.nextInt();
				Long [][] a = new Long[n + 1][3];
				for(int i=1;i<=n;++i) {
					a[i][0] = a[i][1] = 0L;
					a[i][2] = 1L*i;
				}
				for(int i=0;i<n;++i) {
					++a[in.nextInt()][in.nextInt()];
				}
				Arrays.sort(a, 1, n + 1, (i, j) -> i[0]+i[1] == j[0]+j[1] ? 
						j[1].compareTo(i[1]): Long.valueOf(j[0]+j[1]).compareTo(i[0]+i[1]));
				long ans1 = a[1][0] + a[1][1];
				long cur = ans1 - 1;
				List<Long> sums = new ArrayList<>();
				sums.add(ans1);
				for(int i=2;i<=n;++i) {
					long can = Math.min(cur, a[i][0] + a[i][1]);
					if(can == 0)break;
					ans1 += can;
					sums.add(can);
					cur = can - 1;
				}
				TreeSet<Pair> q = new TreeSet<>(
						(p1, p2) -> p1.one.equals(p2.one)
						? -1 : p2.one.compareTo(p1.one));
				int ptr = 0;
				long ans2 = 0;
				for(int i=1;i<=n && ptr < sums.size();) {
					while(ptr < sums.size() && a[i][0] + a[i][1] < sums.get(ptr)) {
						ans2 += Math.min(sums.get(ptr),q.pollFirst().one);
						++ptr;
					}
					q.add(new Pair(a[i][0], a[i][1]));++i;
				}
				if(ptr < sums.size()) {
					ans2 += Math.min(sums.get(ptr),q.pollFirst().one);
				}
				out.println(ans1 + " " + ans2);
			}
		}
		
		class Pair{
			Long zero;
			Long one;
			public Pair(Long zero, Long one) {
				super();
				this.zero = zero;
				this.one = one;
			}
			
		}
		
	}
	
	static void prepareIO(boolean isFileIO) {
		//long t1 = System.currentTimeMillis();
		Task solver = new Task();
		// Standard IO
		if(!isFileIO) { 
			InputStream inputStream = System.in;
	        OutputStream outputStream = System.out;
	        InputReader in = new InputReader(inputStream);
	        PrintWriter out = new PrintWriter(outputStream);
	        solver.solve(in, out);
	        //out.println("time(s): " + (1.0*(System.currentTimeMillis()-t1))/1000.0);
	        out.close();
		}
        // File IO
		else {
			String IPfilePath = System.getProperty("user.home") + "/Downloads/ip.in";
	        String OPfilePath = System.getProperty("user.home") + "/Downloads/op.out";
	        InputReader fin = new InputReader(IPfilePath);
	        PrintWriter fout = null;
	        try {
				fout = new PrintWriter(new File(OPfilePath));
			} catch (FileNotFoundException e) {
				e.printStackTrace();
			}
	        solver.solve(fin, fout);
	        //fout.println("time(s): " + (1.0*(System.currentTimeMillis()-t1))/1000.0);
	        fout.close();
		}
	}
	
	public static void main(String[] args) {
        prepareIO(false);
	}
	
	static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }
        
        public InputReader(String filePath) {
        	File file = new File(filePath);
            try {
				reader = new BufferedReader(new FileReader(file));
			} catch (FileNotFoundException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
            tokenizer = null;
        }
        
        public String nextLine() {
        	String str = "";
        	try {
				str = reader.readLine();
			} catch (IOException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
        	return str;
        }
        
        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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

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

}