A14714 | Special Permutation

A permutation of length $n$ is an array $p=[p_1,p_2,\dots, p_n]$ which contains every integer from $1$ to $n$ (inclusive) exactly once. For example, $p=[4, 2, 6, 5, 3, 1]$ is a permutation of length $6$ .

You are given three integers $n$ , $a$ and $b$ , where $n$ is an even number. Print any permutation of length $n$ that the minimum among all its elements of the left half equals $a$ and the maximum among all its elements of the right half equals $b$ . Print -1 if no such permutation exists.

The first line of the input contains one integer $t$ ( $1 \le t \le 1000$ ), the number of test cases in the test. The following $t$ lines contain test case descriptions.

Each test case description contains three integers $n$ , $a$ , $b$ ( $2 \le n \le 100$ ; $1 \le a,b \le n$ ; $a \ne b$ ), where $n$ is an even number (i.e. $n \bmod 2 = 0$ ).

For each test case, print a single line containing any suitable permutation. Print -1 no such permutation exists. If there are multiple answers, print any of them.