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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9 + 7;
const long long INF = 1e18;
void solve() {
  unordered_map<int, int> m;
  for (auto i = 0; i < 50; i++) {
    m[i + 1] = 2;
  }
  int n;
  cin >> n;
  vector<int> v(2 * n), ans, ans2;
  for (auto i = 0; i < 2 * n; i++) {
    cin >> v[i];
  }
  int temp = n, temp2 = n, temp3 = n;
  int i = 0, j = 0;
  if (n > 0) {
    for (i = 0, j = (2 * temp) - 1; i < j && n > 0; i++, j--) {
      if (m[v[i]] == 2) {
        ans.push_back(v[i]);
        m[v[i]]--;
        n--;
        temp2++;
      }
      if (m[v[j]] == 2) {
        ans2.insert(ans2.begin(), v[j]);
        m[v[j]]--;
        n--;
      }
    }
    if (i == j && n & 1) {
      if (m[v[i]] == 2) {
        ans.push_back(v[i]);
        m[v[i]]--;
        n--;
      }
    }
  }
  for (auto x : ans) cout << x << " ";
  for (auto x : ans2) cout << x << " ";
  cout << "\n";
}
int main() {
  int cases = 1;
  scanf("%d", &cases);
  while (cases--) {
    solve();
  }
  return 0;
}