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 <limits.h>
#include <cstdint>
#include <vector>
#include <string>
#include <math.h>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_map>
#include <set>
#include <cstring>
#include <deque>
#include <stack>
#include <queue>
#include <utility> 
#include <iomanip>      // std::setprecision
#include <sstream>      // std::stringstream
using namespace std;
typedef long long l1;
typedef long long unsigned lu1;
typedef long double ld;
#define FIO std::ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define PI acos(-1.0)
#define pb push_back
// #define SORT(A) sort(A.begin(), A.end());
// #define REVERSE(A) reverse(A.begin(), A.end());
#define deb(x) cout << #x << ": " << x << "\n"
#define PrintArray(arr) for(int i=0;i<(int)arr.size();i++)cout<<arr[i]<<" ";cout<<"\n";
#define pii pair<int,int>
#define pll pair<long long int , long long int>
#define puu pair<long long unsigned , long long unsigned>
#define int long long
const int MOD = 1e9+7;

int32_t main()
{
    #ifndef ONLINE_JUDGE
    freopen("input.txt","r",stdin);
    freopen("output.txt","w",stdout);
    #endif
    FIO;
    int t;
    t = 1;
    cin>>t; 
    for (int tc=0;tc<t;tc++) 
    {
        int n , k;
        cin>>n>>k;
        bool can[n+10];
        memset(can,true,sizeof(can));
        can[k] = false;
        for(int i=(k/2)-(1-k%2);i>=1;i--) can[i] = false; 
        int m = 0;
        for(int i=1;i<=n;i++) m += (can[i]);
        cout<<m<<"\n";
        for(int i=1;i<=n;i++) 
        {
            if(can[i]) cout<<i<<" ";
        }
        cout<<"\n";
    } 
 
    #ifndef ONLINE_JUDGE
    cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
    #endif
    return 0;
}