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:
import sys
input=sys.stdin.readline
for _ in range(int(input().strip())):
	n,k=map(int,input().strip().split(" "))#3 4
	#s=input().strip()
	#n=int(input().strip())
	#a=list(map(int,input().strip().split(" ")))
	o=[]
	while n>k:
		o.append(n)
		n-=1
	n-=1
	while 2*(n)>k-1:
		o.append(n)
		n-=1
	print(len(o))
	print(" ".join(map(str,o)))