Array Shuffling
Description
oolimry has an array $a$ of length $n$ which he really likes. Today, you have changed his array to $b$, a permutation of $a$, to make him sad.
Because oolimry is only a duck, he can only perform the following operation to restore his array:
- Choose two integers $i,j$ such that $1 \leq i,j \leq n$.
- Swap $b_i$ and $b_j$.
The sadness of the array $b$ is the minimum number of operations needed to transform $b$ into $a$.
Given the array $a$, find any array $b$ which is a permutation of $a$ that has the maximum sadness over all permutations of the array $a$.
Each test contains multiple test cases. The first line contains a single integer $t$ ($1 \leq t \leq 10^4$) — the number of test cases. The description of the test cases follows.
The first line of each test case contains a single integer $n$ ($1 \leq n \leq 2 \cdot 10^5$) — the length of the array.
The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq n$) — elements of the array $a$.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$.
For each test case, print $n$ integers $b_1, b_2, \ldots, b_n$ — describing the array $b$. If there are multiple answers, you may print any.
Input
Each test contains multiple test cases. The first line contains a single integer $t$ ($1 \leq t \leq 10^4$) — the number of test cases. The description of the test cases follows.
The first line of each test case contains a single integer $n$ ($1 \leq n \leq 2 \cdot 10^5$) — the length of the array.
The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq n$) — elements of the array $a$.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$.
Output
For each test case, print $n$ integers $b_1, b_2, \ldots, b_n$ — describing the array $b$. If there are multiple answers, you may print any.
Samples
2
2
2 1
4
1 2 3 3
1 2
3 3 2 1
Note
In the first test case, the array $[1,2]$ has sadness $1$. We can transform $[1,2]$ into $[2,1]$ using one operation with $(i,j)=(1,2)$.
In the second test case, the array $[3,3,2,1]$ has sadness $2$. We can transform $[3,3,2,1]$ into $[1,2,3,3]$ with two operations with $(i,j)=(1,4)$ and $(i,j)=(2,3)$ respectively.