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<bits/stdc++.h>
using namespace std;
#define fastread     ios_base::sync_with_stdio(false);cin.tie(NULL);
#define fileRead freopen("input.txt","r",stdin);
#define fileWrite freopen("output.txt","w",stdout);
#define ll long long
#define mx 100009
int main()
{
    int test;
    cin>>test;
    while(test--)
    {
        int n,k;
        cin>>n>>k;
        int from = k/2;
        if(k%2)
            from++;
        //cout<<from<<endl;
        vector<int>vec;
        for(int i=from;i<=n;i++)
            if(i!=k)
                vec.push_back(i);
        cout<<vec.size()<<endl;
        for(int i=0;i<vec.size();i++)
                cout<<vec[i]<<" ";
        cout<<endl;

    }
}