Description: You are given two integers $$$n$$$ and $$$k$$$. You are asked to choose maximum number of distinct integers from $$$1$$$ to $$$n$$$ so that there is no subset of chosen numbers with sum equal to $$$k$$$. A subset of a set is a set that can be obtained from initial one by removing some (possibly all or none) elements of it. Input Format: The first line contains the number of test cases $$$T$$$ ($$$1 \le T \le 100$$$). Each of the next $$$T$$$ lines contains two integers $$$n$$$ and $$$k$$$ ($$$1 \le k \le n \le 1000$$$) — the description of test cases. Output Format: For each test case output two lines. In the first line output a single integer $$$m$$$ — the number of chosen integers. In the second line output $$$m$$$ distinct integers from $$$1$$$ to $$$n$$$ — the chosen numbers. If there are multiple answers, print any. You can print the numbers in any order. Note: None