1382_A. Common Subsequence
You are given two arrays of integers a_1,…,a_n and b_1,…,b_m.

Your task is to find a non-empty array c_1,…,c_k that is a subsequence of a_1,…,a_n, and also a subsequence of b_1,…,b_m. If there are multiple answers, find one of the smallest possible length. If there are still multiple of the smallest possible length, find any. If there are no such arrays, you should report about it.

A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].

Input

The first line contains a single integer t (1≤ t≤ 1000) — the number of test cases. Next 3t lines contain descriptions of test cases.

The first line of each test case contains two integers n and m (1≤ n,m≤ 1000) — the lengths of the two arrays.

The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 1000) — the elements of the first array.

The third line of each test case contains m integers b_1,…,b_m (1≤ b_i≤ 1000) — the elements of the second array.

It is guaranteed that the sum of n and the sum of m across all test cases does not exceed 1000 (∑_{i=1}^t n_i, ∑_{i=1}^t m_i≤ 1000).

Output

For each test case, output "YES" if a solution exists, or "NO" otherwise.

If the answer is "YES", on the next line output an integer k (1≤ k≤ 1000) — the length of the array, followed by k integers c_1,…,c_k (1≤ c_i≤ 1000) — the elements of the array.

If there are multiple solutions with the smallest possible k, output any.

Example

Input


5
4 5
10 8 6 4
1 2 3 4 5
1 1
3
3
1 1
3
2
5 3
1000 2 2 2 3
3 1 5
5 5
1 2 3 4 5
1 2 3 4 5


Output


YES
1 4
YES
1 3
NO
YES
1 3
YES
1 2

Note

In the first test case, [4] is a subsequence of [10, 8, 6, 4] and [1, 2, 3, 4, 5]. This array has length 1, it is the smallest possible length of a subsequence of both a and b.

In the third test case, no non-empty subsequences of both [3] and [2] exist, so the answer is "NO".
```python
#!/usr/bin/env python3
import io
import os

input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline

def get_str():
    return input().decode().strip()

def rint():
    return map(int, input().split())

def oint():
    return int(input())

t = oint()

for _ in range(t):
    n, m = rint()
    a = set(rint())
    b = set(rint())
    c = a&b
    if c:
        print('YES')
        print(1, list(c)[0])
    else:
        print('NO')


```