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 CP{
  public static OutputStream out=new BufferedOutputStream(System.out);
  static Scanner sc=new Scanner(System.in);
  static long mod=1000000007l;
  static int INF=1000000;

  //nl-->neew line; //l-->line;  //arp-->array print;  //arpnl-->array print new line
  public static void nl(Object o) throws IOException{out.write((o+"\n").getBytes()); }
  public static void l(Object o) throws IOException{out.write((o+"").getBytes());}
  public static void arp(int[] o) throws IOException{for(int i=0;i<o.length;i++) out.write((o[i]+" ").getBytes()); out.write(("\n").getBytes());}
  public static void arpnl(int[] o) throws IOException{for(int i=0;i<o.length;i++) out.write((o[i]+"\n").getBytes());}
  public static void scanl(long[] a,int n) {for(int i=0;i<n;i++) a[i]=sc.nextLong();}
  public static void scani(int[] a,int n) {for(int i=0;i<n;i++) a[i]=sc.nextInt();}
  public static void scan2D(int[][] a,int n,int m) {for(int i=0;i<n;i++) for(int j=0;j<m;j++) a[i][j]=sc.nextInt();}
  //
  static long cnt;
  static TreeSet<Integer> ans;
  static int n,m;
  static boolean[][] dp,vis;
  static HashMap<Pair,Boolean> arrl;


  public static void main(String[] args) throws IOException{
    long sttm=System.currentTimeMillis();
    long mod=1000000007l;

    int t=sc.nextInt();
    while(t-->0){
        int n=sc.nextInt();
        int[] ans=new int[n];
        int[] vis=new int[n];
        for(int i=0,j=0;i<2*n;i++){
            int temp=sc.nextInt()-1;
            if(vis[temp]==0){
                vis[temp]=1;
                ans[j]=temp+1;
                j++;
            }
        }
        for(int i=0;i<n;i++) l(ans[i]+" "); nl("");
    }

    out.flush();
  }

  public static int binSearch(long sum, long[] a,int st,int nd){
      if(st==nd) return st;
      int mid=(st+nd+1)/2;
      if(a[mid]<sum){
          return binSearch(sum,a,mid,nd);
      }
      if(a[mid]==sum){
          return -1;
      }
      else{
          return binSearch(sum,a,st,mid-1);
      }
  }

}

class Pair{
  int x,y;
  Pair(int x,int y){
    this.x=x;
    this.y=y;
  }
}