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 CPP):

Solution:

// Problem: A. Anti-knapsack
// Contest: Codeforces - Codeforces Round #705 (Div. 2)
// URL: https://codeforces.com/problemset/problem/1493/A
// Memory Limit: 256 MB
// Time Limit: 1000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

#include<bits/stdc++.h>
using namespace std;
int main()
{
	int n;
	cin >> n;
	
	while(n--){
		int a,b;
		cin >> a >> b;
		
		vector<int>v;
		
		for(int i=(b+1)/2; i<b; i++){
			v.push_back(i);
		}
		
		for(int i=b+1; i<=a; i++){
			v.push_back(i);
		}
		
		cout << v.size() << endl;
		for(auto x: v){
			cout << x << " ";
		}
		cout << endl;
	}
}