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 PYTHON):

Solution:
#!/usr/bin/env python3
# Submit as pypy2


from __future__ import print_function, division, unicode_literals

__metaclass__ = type

try:
    input = raw_input
    range = xrange
except NameError:
    pass


import sys


# Test code requires python3
# from hypothesis import given
# from hypothesis import strategies as st
#
#
# def debug(*args, **kwargs):
#     print(*args, *('{}={}'.format(k, v) for k, v in kwargs.items()),
#           sep='; ', file=sys.stderr)


def solve(N, K):
    return list(range((K + 1) // 2, K)) + list(range(K + 1, N + 1))


def main(f):
    T = int(next(f))
    for _ in range(T):
        N, K = map(int, next(f).split())
        ans = solve(N, K)
        print(len(ans))
        print(' '.join(map(str, ans)))


if __name__ == "__main__":
    main(sys.stdin)