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 PYTHON3):

Solution:
import sys
sys.setrecursionlimit(100000)
from collections import defaultdict
from collections import deque
import heapq

I=lambda : list(map(int,input().split(' ')))
'''
for _ in range(int(input())):
    x,y,z=I()
    if x==y==z:
        print('YES')
        print(str(x)+' '+str(x)+' '+str(x))
    elif x==y and x>z :
        print('YES')
        print(str(x)+' '+str(z)+' '+str(z))
    elif x==z and x>y:
        print('YES')
        print(str(y)+' '+str(x)+ ' '+str(y))
    elif y==z and y>x:
        print('YES')
        print(str(x)+' '+str(x)+ ' '+str(y))
    else:
        print('NO')
'''
for _ in range(int(input())):
    n=int(input())
    lst=I()      
    dct=defaultdict(int)
    for i in range(n):
        dct[i+1]
    for j,ele in enumerate(lst):
        if dct[ele]==0:
            dct[ele]=j+1
    print(" ".join(map(str,[e[1] for e in sorted([(dct[ele],ele) for ele in range(1,n+1)])])))