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 ll long long
#define ld long double
#define pb push_back
#define pf push_front
#define mp make_pair
#define F first
#define S second
#define mod 1000000007
#define md 998244353 
#define INF INT_MAX
#define vl vector<ll>
#define vi vector<int>
#define pi pair<int,int>
#define pl pair<ll,ll>
#define vpl vector<pl>
#define vpi vector<pi>
#define ml map<ll,ll>
#define mi map<int,int>
#define m(a,b) map<a,b>
#define rep(i,n) for(int i=1;i<=n;i++)
#define mxn 100005
#define printfloat(y) cout<<fixed<<setprecision(9)<<y<<endl;
#define YesNo(f) if(f){cout<<"YES"<<endl;}else{cout<<"NO"<<endl;continue;}
#define setval(a,val) memset(a,val,sizeof(a)) 
#define fastIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

int main()
{
	fastIO;
//	freopen("input.txt","r",stdin);
//	freopen("output.txt","w",stdout);
	int t=1;
	cin>>t;
	while(t--){
		int n,k;
		cin>>n>>k;
		if(n==1){
			cout<<0<<endl;
			continue;
		}
		if(k%2==0){
			cout<<1+n-k+(k-1)/2<<endl;
			for(int i=k+1;i<=n;i++){
				cout<<i<<" ";
			}
			for(int i=k/2;i<=k-1;i++){
				cout<<i<<" ";
			}
			cout<<endl;
		}else{
			cout<<n-k+(k-1)/2<<endl;
			for(int i=k+1;i<=n;i++){
				cout<<i<<" ";
			}
			for(int i=k/2+1;i<=k-1;i++){
				cout<<i<<" ";
			}
			cout<<endl;
		}
	}

return 0;
}