Restore the Permutation by Merger

TimeLimit:1000MS  MemoryLimit:256MB
64-bit integer IO format:%I64d
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Problem Description

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 a1,a2,…,a2n (1≤ai≤n), where ai 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 p1,p2,…,pn (1≤pi≤n), representing the initial permutation. It is guaranteed that the answer exists and is unique.

SampleInput
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
SampleOutput
1 2 
1 3 4 2 
1 2 3 4 5 
1 2 3 
2 3 4 1
Submit
题目统计信息详细
总AC数18
通过人数18
尝试人数18
总提交量19
AC率94.74%
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