Problem: A permutation of length n is a sequence of integers from 1 to n of length n containing each number exactly once. For example, [1], [4, 3, 5, 1, 2], [3, 2, 1] are permutations, and [1, 1], [0, 1], [2, 2, 1, 4] are not.

There was a permutation p[1 ... n]. It was merged with itself. In other words, let's take two instances of p and insert elements of the second p into the first maintaining relative order of elements. The result is a sequence of the length 2n.

For example, if p=[3, 1, 2] some possible results are: [3, 1, 2, 3, 1, 2], [3, 3, 1, 1, 2, 2], [3, 1, 3, 1, 2, 2]. The following sequences are not possible results of a merging: [1, 3, 2, 1, 2, 3], [3, 1, 2, 3, 2, 1], [3, 3, 1, 2, 2, 1].

For example, if p=[2, 1] the possible results are: [2, 2, 1, 1], [2, 1, 2, 1]. The following sequences are not possible results of a merging: [1, 1, 2, 2], [2, 1, 1, 2], [1, 2, 2, 1].

Your task is to restore the permutation p by the given resulting sequence a. It is guaranteed that the answer exists and is unique.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 400) — the number of test cases. Then t test cases follow.

The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the length of permutation. The second line of the test case contains 2n integers a_1, a_2, ..., a_{2n} (1 ≤ a_i ≤ n), where a_i is the i-th element of a. It is guaranteed that the array a represents the result of merging of some permutation p with the same permutation p.

Output

For each test case, print the answer: n integers p_1, p_2, ..., p_n (1 ≤ p_i ≤ n), representing the initial permutation. It is guaranteed that the answer exists and is unique.

Example

Input


5
2
1 1 2 2
4
1 3 1 4 3 4 2 2
5
1 2 1 2 3 4 3 5 4 5
3
1 2 3 1 2 3
4
2 3 2 4 1 3 4 1


Output


1 2 
1 3 4 2 
1 2 3 4 5 
1 2 3 
2 3 4 1 

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.math.*;

public class Main {

    private static FastReader fr = new FastReader();
    private static Helper hp = new Helper();
    private static StringBuilder result = new StringBuilder();

    public static void main(String[] args) {
        Task solver = new Task();
        solver.solve();
    }

    static class Task {

        public void solve() {
            int nt = fr.ni();
            while(nt-- > 0){
                int n = fr.ni();
                LinkedHashSet<Integer> set = new LinkedHashSet<>();
                for(int i=0; i<2*n; i++) set.add(fr.ni());
                for (Integer integer : set) {
                    result.append(integer).append(" ");
                }
                result.append("\n");
            }
            System.out.println(result);
        }
    }

    static class Helper {
        public int[] ipArrInt(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++)
                arr[i] = fr.ni();
            return arr;
        }

        public long[] ipArrLong(int n, int si) {
            long[] arr = new long[n];
            for (int i = si; i < n; i++)
                arr[i] = fr.nl();
            return arr;
        }
    }

    static class FastReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;
        private static PrintWriter pw;

        public FastReader() {
            reader = new BufferedReader(new InputStreamReader(System.in));
            pw = new PrintWriter(System.out);
            tokenizer = null;
        }

        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 ni() {
            return Integer.parseInt(next());
        }

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

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

        public String rl() {
            try {
                return reader.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return null;
        }

        public void print(String str) {
            pw.print(str);
            pw.flush();
        }
    }
}