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 PYTHON3):

Solution:
from math import ceil
def fun(ls):
    n,k=ls
    ans=[]
    if(n>k):
        for i in range(ceil(k/2) ,n+1):
            if(i!=k):
                ans.append(i)
        # temp= k-(n//2)
        # for i in range(temp+1,n//2):
        #     ls.append(i)
        if(len(ans)==1 and ans[0]==0):
            print(0)
            return
        print(len(ans))
        print(*reversed(ans))
    else:
        extra = k-n 
        for i in range(ceil(k/2) ,n+1):
            if(i!=k):
                ans.append(i)
        # for i in range(1,extra-1):
        #     ans.append(i)
        if(len(ans)==1 and ans[0]==0):
            print(0)
            return
        print(len(ans))
        print(*reversed(ans))        




T=int(input())
for i in range(T):
    ls= list(map(int,input().split()))
    fun(ls)