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
cases=input()
for i in range(0,int(cases)):
    ent=input().split(" ")
    n= ent[0]
    k= ent[1]
    res=[]
    for i in range(int(k)+1,int(n)+1):
        res.append(i)
    if int(k) %2 == 0:
        for i in range( int(int(k)/2),int(k)):
        
            res.append(i)
    else:        
        for i in range( int(int(k)/2)+1,int(k)):
        
            res.append(i)
    if len(res)== 0:
        print(0)            
    else:
        print(len(res))
        print(str(res).replace("[","").replace("]","").replace(",",""))  
    