A14997 | Array Shuffling

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.