codeforces#P1672F1. Array Shuffling

    ID: 32899 远端评测题 1000ms 256MiB 尝试: 0 已通过: 0 难度: (无) 上传者: 标签>constructive algorithmsgraphsgreedy*2000

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.