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:
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<int, int>
#define f first
#define s second

int n, k;
vector<int> v;

void answer(){
	cin >> n >> k;
	
	v.clear();
	for(int i = k - 1; i >= (k + 1) / 2; i--) v.push_back(i);
	for(int i = k + 1; i <= n; i++) v.push_back(i);
	
	cout << v.size() << endl;
	if(!v.empty()) cout << v[0];
	for(int i = 1; i < v.size(); i++) cout << " " << v[i];
	cout << endl;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	int t;
	cin >> t;
	
	for(int i = 0; i < t; i++) answer();

	return 0;
}