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
#include<bits/stdc++.h>
using namespace std;
#define int long long
int T;
int n,k;
void solve(){
    cin>>T;
    while(T--){
        cin>>n>>k;
        int l=1,r=k-1;
        vector<int>ans;
        while(r>=l){
            ans.push_back(r);
            r--;
            l++;
        }
        for(int i=k+1;i<=n;++i) ans.push_back(i);
        cout<<ans.size()<<endl;
            for(int i=0;i<ans.size();++i){
                cout<<ans[i]<<" ";
            }
            cout<<endl;
    }
}
signed main()
{
    ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
    solve();
}
/*
1
3 3
-3 -2 -1
-3 -2 -1
*/
