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:
t = int(input())

for _ in range(t):
    n, k = map(int, input().split())

    l = []

    if  n == 1:
        if k == 1:
            print(0)
        else:
            print(1)
    
    else:
        if n > k:
            for i in range(n, k, -1):
                l.append(i)
        
        mx = k-1
        for i in range(mx,int(mx/2), -1):
            l.append(i)
       
        ll = len(l)
        print(ll)
        for i in range(ll):
            print(l[i], end=' ')
        print()
        l.clear()