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.io.*;
import java.util.ArrayList;
import java.util.List;


/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Housni Abdellatif
 */
public class B656 {
    public static void main(String[] args) throws IOException{
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Task.Reader in = new Task.Reader();
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task();
        solver.solve(1, in, out);
        out.close();
    }

    static class Task {
        public void solve(int testNumber, Reader reader, PrintWriter out) throws IOException{
            int t = reader.nextInt();
            while(t-- > 0) {
                int n = reader.nextInt();
                int[] a = new int[2 * n];
                for (int i = 0; i < 2 * n; ++i) {
                    a[i] = reader.nextInt();
                }
                boolean[] booleans = new boolean[n + 1];
                List<Integer> ans = new ArrayList<>();
                for (int i = 0; i < 2 * n; ++i) {
                    if (!booleans[a[i]]) {
                        ans.add(a[i]);
                        booleans[a[i]] = true;
                    }
                }

                ans.forEach(e -> out.print(e + " "));
                out.println();
            }
        }

        static class Reader
        {
            final private int BUFFER_SIZE = 1 << 16;
            private DataInputStream din;
            private byte[] buffer;
            private int bufferPointer, bytesRead;

            public Reader()
            {
                din = new DataInputStream(System.in);
                buffer = new byte[BUFFER_SIZE];
                bufferPointer = bytesRead = 0;
            }

            public Reader(String file_name) throws IOException
            {
                din = new DataInputStream(new FileInputStream(file_name));
                buffer = new byte[BUFFER_SIZE];
                bufferPointer = bytesRead = 0;
            }

            public String readLine() throws IOException
            {
                byte[] buf = new byte[64]; // line length
                int cnt = 0, c;
                while ((c = read()) != -1)
                {
                    if (c == '\n')
                        break;
                    buf[cnt++] = (byte) c;
                }
                return new String(buf, 0, cnt);
            }

            public int nextInt() throws IOException
            {
                int ret = 0;
                byte c = read();
                while (c <= ' ')
                    c = read();
                boolean neg = (c == '-');
                if (neg)
                    c = read();
                do
                {
                    ret = ret * 10 + c - '0';
                }  while ((c = read()) >= '0' && c <= '9');

                if (neg)
                    return -ret;
                return ret;
            }

            public long nextLong() throws IOException
            {
                long ret = 0;
                byte c = read();
                while (c <= ' ')
                    c = read();
                boolean neg = (c == '-');
                if (neg)
                    c = read();
                do {
                    ret = ret * 10 + c - '0';
                }
                while ((c = read()) >= '0' && c <= '9');
                if (neg)
                    return -ret;
                return ret;
            }

            public double nextDouble() throws IOException
            {
                double ret = 0, div = 1;
                byte c = read();
                while (c <= ' ')
                    c = read();
                boolean neg = (c == '-');
                if (neg)
                    c = read();

                do {
                    ret = ret * 10 + c - '0';
                }
                while ((c = read()) >= '0' && c <= '9');

                if (c == '.')
                {
                    while ((c = read()) >= '0' && c <= '9')
                    {
                        ret += (c - '0') / (div *= 10);
                    }
                }

                if (neg)
                    return -ret;
                return ret;
            }

            private void fillBuffer() throws IOException
            {
                bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
                if (bytesRead == -1)
                    buffer[0] = -1;
            }

            private byte read() throws IOException
            {
                if (bufferPointer == bytesRead)
                    fillBuffer();
                return buffer[bufferPointer++];
            }

            public void close() throws IOException
            {
                if (din == null)
                    return;
                din.close();
            }
        }

    }
}