A15255 | awoo's Favorite Problem

You are given two strings $s$ and $t$ , both of length $n$ . Each character in both string is 'a', 'b' or 'c'.

In one move, you can perform one of the following actions:

- choose an occurrence of "ab" in $s$ and replace it with "ba";
- choose an occurrence of "bc" in $s$ and replace it with "cb".

You are allowed to perform an arbitrary amount of moves (possibly, zero). Can you change string $s$ to make it equal to string $t$ ?

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

The first line of each testcase contains a single integer $n$ ( $1 \le n \le 10^5$ ) — the length of strings $s$ and $t$ .

The second line contains string $s$ of length $n$ . Each character is 'a', 'b' or 'c'.

The third line contains string $t$ of length $n$ . Each character is 'a', 'b' or 'c'.

The sum of $n$ over all testcases doesn't exceed $10^5$ .

For each testcase, print "YES" if you can change string $s$ to make it equal to string $t$ by performing an arbitrary amount of moves (possibly, zero). Otherwise, print "NO".