B. Asterisk-Minor Template
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given two strings $$$a$$$ and $$$b$$$, consisting of lowercase Latin letters.

A template $$$t$$$ is string, consisting of lowercase Latin letters and asterisks (character '*'). A template is called asterisk-minor if the number of asterisks in it is less than or equal to the number of letters in it.

A string $$$s$$$ is said to be matching a template $$$t$$$ if you can replace each asterisk in $$$t$$$ with a string of lowercase Latin letters (possibly, an empty string) so that it becomes equal to $$$s$$$.

Find an asterisk-minor template such that both $$$a$$$ and $$$b$$$ match it, or report that such a template doesn't exist. If there are multiple answers, print any of them.

Input

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of testcases.

The first line of each testcase contains a string $$$a$$$ ($$$1 \le |a| \le 50$$$, where $$$|a|$$$ is the length of $$$a$$$), consisting of lowercase Latin letters.

The second line contains a string $$$b$$$ ($$$1 \le |b| \le 50$$$), consisting of lowercase Latin letters.

Output

For each testcase, output "NO", if there doesn't exist an asterisk-minor template that both $$$a$$$ and $$$b$$$ match. Otherwise, print "YES" in the first line and the template in the second line. If there are multiple answers, print any of them.

A template should consist only of lowercase Latin letters and asterisks (character '*'). The number of asterisks should be less than or equal to the number of letters.

Example
Input
6
aaab
zzzb
codeforces
atcoder
codeforces
tokitlx
aaaa
aaaaaa
abcd
abcd
c
f
Output
YES
*b
YES
*co*
NO
YES
a*a*a*a
YES
abcd
NO
Note

In the first testcase, for a template "*b", you can replace the only asterisk with "aaa" to get "aaab" (which is equal to $$$a$$$) or with "zzz" to get "zzzb" (which is equal to $$$b$$$).

In the third testcase, a template "*o*" is not asterisk-minor, as it contains more asterisks than letters. There are no asterisk-minor templates that both $$$a$$$ and $$$b$$$ match.

In the fourth testcase, for a template "a*a*a*a", you can replace all asterisks with empty strings to get "aaaa" (which is equal to $$$a$$$) or two of them with "a" and two of them with an empty string to get "aaaaaa" (which is equal to $$$b$$$).

In the fifth testcase, there are no asterisks in a template "abcd", so only "abcd" can match it (which is coincidentally both $$$a$$$ and $$$b$$$).