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One day, Zimpha casually came up with a problem. As a member of "Zimpha fan club", you decided to solve that problem. You are given two strings $s$ and $t$ of length $n$ and $m$, respectively. Both strings only consist of lowercase English letters, - and *. You need to replace all occurrences of * and -, observing the following rules: * For each -, you must replace it with any lowercase English letter. * For each *, you must replace it with a string of any (possibly, zero) length which only consists of lowercase English letters. Note that you can replace two different instances of - with different characters. You can also replace each two different instances of * with different strings. Suppose $s$ and $t$ have been transformed into $s'$ and $t'$. Now you're wondering if there's a replacement that makes $s'=t'$. The first line of input contains two integers $n$ and $m$ ($1 \leq n, m \leq 2 \cdot 10^6$) — the length of the strings $s$ and $t$, respectively. The second line contains the string $s$ of length $n$. It is guaranteed that $s$ only consists of lowercase English letters, - and *. The third line contains the string $t$ of length $m$. It is guaranteed that $t$ only consists of lowercase English letters, - and *. For each test case, output "Yes" if there is a replacement that makes $s'=t'$, and output "No" otherwise. You can output "Yes" and "No" in any case (for example, strings "yEs", "yes", "Yes" and "YES" will be recognized as a positive response). In the second test case, we can transform both strings into ttklwxx. In $s$, - will be replaced with l. In $t$, * will be replaced by the empty string with the first and second - will be replaced with k and w respectively. In the fifth test case, we can transform both strings into bulijiojioxdibuliduo. |