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 solution
{
    static class FastReader {
    BufferedReader br;
    StringTokenizer st;

    public FastReader()
    {
        br = new BufferedReader(new InputStreamReader(System.in));
    }

    String next()
    {
        while (st == null || !st.hasMoreElements()) {
            try {
                st = new StringTokenizer(br.readLine());
            }
            catch (IOException e) {
                e.printStackTrace();
            }
        }
        return st.nextToken();
    }

    int nextInt() { return Integer.parseInt(next()); }

    long nextLong() { return Long.parseLong(next()); }

    double nextDouble()
    {
        return Double.parseDouble(next());
    }

    String nextLine()
    {
        String str = "";
        try {
            str = br.readLine();
        }
        catch (IOException e) {
            e.printStackTrace();
        }
        return str;
    }
}

    public static void main(String[] args)
    {
        FastReader obj = new FastReader();
        int length=obj.nextInt();
        PrintWriter out=new PrintWriter(System.out);
        while(length--!=0)
        {
            int n=obj.nextInt();
            Vector<Integer> v=new Vector<>();
            boolean[] num=new boolean[n+1];
            int k=obj.nextInt();
            for(int i=n;i>=1;i--) {
                if (i == k) continue;
                if (!num[i]) {
                    v.add(i);
                    if(k-i>=1) num[k - i] = true;
                }
            }
            out.println(v.size());
            for(int i=0;i<v.size();i++)out.print(v.get(i)+" ");
            out.println();
        }
        out.flush();
    }
}