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.util.Map.Entry;
import java.lang.*;
import java.io.*;

 public class Main {
	static int part(int a[],int low,int high) {
		
			int pivot=a[high];
			  int j=0; int temp=0;
			  int i=-1;
			  for( j=0;j<high;++j) {
				  if(a[j]<pivot) {
					  ++i;
					    temp=a[i];
					   a[i]=a[j];
					   a[j]=temp;
				  }
				  
			  }
			     temp=a[i+1];
			     a[i+1]=a[high];
			     a[high]=temp;
		  return i+1;	
		
		
	}
	static  void sort(int a[],int low,int high) {
		if(low<high) {
			int piv=part(a,low,high);
			sort(a,low,piv-1);
			sort(a,piv+1,high);
			
		}
	}
	public static void main (String[] args) throws Exception {
	  Scanner scan=new Scanner(System.in);
	  int t=scan.nextInt();
	  while(t-->0) {
		int n=scan.nextInt();
		ArrayList<Integer>A=new ArrayList<>();
		for(int i=0;i<2*n;++i) {
			A.add(scan.nextInt());
		}
		HashMap<Integer,Integer>H=new HashMap<Integer,Integer>();
		
		for(int i=0;i<2*n;++i) {
			H.put(A.get(i), H.getOrDefault(A.get(i), 0)+1);
		
		}
		for(int i=0;i<2*n;++i) {
			if(H.containsKey(A.get(i))&&H.get(A.get(i))!=0) {
				System.out.print(A.get(i)+" ");
				H.put(A.get(i), 0);
			}
		}
		System.out.println();
		
	  }
		     
		   
	   
	   
	}
}