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.*;

public final class cf {

    public static void main(String[] args) throws Exception {
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(new FileOutputStream(java.io.FileDescriptor.out), "ASCII"), 512);        
        Reader sc = new Reader();
        int tc=sc.nextInt(),n,a[];
        while(tc-->0)
        {
            n=sc.nextInt();
            a=new int[2*n];
            HashSet<Integer>set=new HashSet<>();
            for(int i=0;i<2*n;i++)
            {
                a[i]=sc.nextInt();
                if(!set.contains(a[i])){
                    set.add(a[i]);
                    out.write(a[i]+" ");
                }
            }
            out.write("\n");
        }
        out.flush();
        
    }

    ///////////////////////////////////////////////////////////////////////////////////
    //////////////////////////////////////////////////////////////////////////////////////////////
    static class FastReader {        
        
        BufferedReader br;        
        StringTokenizer st;        
        
        public FastReader() {            
            br = new BufferedReader(new InputStreamReader(System.in));            
        }        
        
        String next() {            
            while (st == null || !st.hasMoreElements()) {                
                try {                    
                    st = new StringTokenizer(br.readLine());                    
                } catch (IOException e) {                    
                    e.printStackTrace();                    
                }                
            }            
            return st.nextToken();            
        }        
        
        int nextInt() {            
            return Integer.parseInt(next());            
        }        
        
        long nextLong() {            
            return Long.parseLong(next());            
        }        
        
        double nextDouble() {            
            return Double.parseDouble(next());            
        }        
        
        String nextLine() {            
            String str = "";            
            try {                
                str = br.readLine();                
            } catch (IOException e) {                
                e.printStackTrace();                
            }            
            return str;            
        }        
    }
    //////////////////////////////////////////////////////////////////

    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[1002]; // 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();            
        }        
    }    

    public static void debug(String s) {
        System.out.println(s);
    }
}