13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T6d1,

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.

Input

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 $$$n$$$, $$$a$$$, $$$b$$$ ($$$2 \le n \le 100$$$; $$$1 \le a,b \le n$$$; $$$a \ne b$$$),

Special Permutation

Examples