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A. Anti-knapsack
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 $$$T$$$ ($$$1 \le T \le 100$$$).

Each of the next $$$T$$$ lines contains two integers $$$n$$$ and $$$k$$$ ($$$1 \le k \le n \le 1000$$$) — 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