Problem: 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

The first line contains the number of test cases T (1 ≤ T ≤ 100).

Each of the next T lines contains two integers n and k (1 ≤ k ≤ n ≤ 1000) — the description of test cases.

Output

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.

Example

Input


3
3 2
5 3
1 1


Output


2
3 1 
3
4 5 2 
0

Solution (in JAVA):

Solution:

import java.util.*;
import java.io.*;

public class one {

	public static void main(String[] args) throws IOException, FileNotFoundException {
		BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
		//BufferedReader in = new BufferedReader(new FileReader("one"));

		int t = Integer.parseInt(in.readLine());
		while (t-- > 0) {
			StringTokenizer st = new StringTokenizer(in.readLine());
			int n = Integer.parseInt(st.nextToken());
			int k = Integer.parseInt(st.nextToken());
			
			ArrayList<Integer> s = new ArrayList<>();
			for (int i=n; i>k; i--) {
				s.add(i);
			}
			
			for (int i=k-1; i>=0; i--) {
				if (i<(k+1)/2) break;
				s.add(i);
			}
			
			System.out.println(s.size());
			StringBuilder sb = new StringBuilder();
			for (int i=0; i<s.size(); i++) {
				sb.append(s.get(i) + " ");
			}
			sb.append("\n");
			System.out.print(sb);
			
		}
	}
}