← Home
write a go solution for Description:
Marcos loves strings a lot, so he has a favorite string s consisting of lowercase English letters. For this string, he wrote down all its non-empty prefixes and suffixes (except for s) on a piece of paper in arbitrary order. You see all these strings and wonder if Marcos' favorite string is a palindrome or not. So, your task is to decide whether s is a palindrome by just looking at the piece of paper.

A string a is a prefix of a string b if a can be obtained from b by deletion of several (possibly, zero or all) characters from the end.

A string a is a suffix of a string b if a can be obtained from b by deletion of several (possibly, zero or all) characters from the beginning.

A palindrome is a string that reads the same backward as forward, for example, strings "gg", "ioi", "abba", "icpci" are palindromes, but strings "codeforces", "abcd", "alt" are not.

Input Format:
Each test consists of multiple test cases. The first line contains a single integer t (1<=t<=120) — the number of test cases. The description of test cases follows.

The first line of each test case contains a single integer n (2<=n<=20) — the length of the string s.

The second line of each test case contains 2n-2 strings a_1,a_2,*s,a_2n-2 — all non-empty prefixes and suffixes of s, not including itself, in arbitrary order.

It is guaranteed that these strings are all the non-empty prefixes and suffixes of some string consisting of lowercase English letters.

Output Format:
For each test case, output "YES" if s is a palindrome, and "NO" otherwise.

You can output the answer in any case (upper or lower). For example, the strings "yEs", "yes", "Yes", and "YES" will be recognized as positive responses.

Note:
In the first test case, s is "abcd". Its prefixes are "a", "ab" and "abc", and its suffixes are "d", "cd" and "bcd". As the string "abcd" is not a palindrome, the answer is NO.

In the second test case, s is "ioi". Its prefixes are "i" and "io", and its suffixes are "i" and "oi". As the string "ioi" is a palindrome, the answer is YES.

In the third test case, s is "gg" which is a palindrome.

In the fourth test case, s is "alt" which is not a palindrome.. Output only the code with no comments, explanation, or additional text.