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:
# your code goes here
for T in range (int(input())):
	n,k = [int(x) for x in input().split()]
	ans = []
	for i in range (k+1,n+1):
		ans.append(i)
	k1 = 0
	if k %2==0:
		k1=k/2
	else:
		k1 = k/2+1
	k1 = int(k1)
	for i in range (k1,k): ans.append(i)
	
	print (len(ans))
	for i in ans : print (i,end=" ")
	print()