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:
// Working program with FastReader

import java.io.BufferedReader;
import java.io.CharArrayReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.*;

public class Main {
    static int mod = (int)(1e9)+7;
    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 s = new FastReader();
        int t = s.nextInt();

        while (t-- > 0)
        {
            int n = s.nextInt();
            int k = s.nextInt();
            find(n,k);
        }
    }
    public static void find(int n, int k)
    {
        ArrayList<Integer> ls = new ArrayList<>();
        for(int i=1;i<k;i++)
        {
            ls.add(i);
        }
     int r = n-k;
     for(int i=ls.size()-1;i>=0;i--)
     {
         if(ls.contains(k-ls.get(i)) && (k-ls.get(i)!=ls.get(i)))
             ls.remove(new Integer(k-ls.get(i)));
     }
     System.out.println(ls.size()+r);
     for(int i=k+1;i<=n;i++)
     {
         System.out.print(i+" ");
     }
     for(Integer x:ls)
     {
         System.out.print(x+" ");
     }
     System.out.println();
    }
}