CF1023A Single Wildcard Pattern Matching

You are given two strings $ s $ and $ t $ . The string $ s $ consists of lowercase Latin letters and at most one wildcard character '\*', the string $ t $ consists only of lowercase Latin letters. The length of the string $ s $ equals $ n $ , the length of the string $ t $ equals $ m $ . The wildcard character '\*' in the string $ s $ (if any) can be replaced with an arbitrary sequence (possibly empty) of lowercase Latin letters. No other character of $ s $ can be replaced with anything. If it is possible to replace a wildcard character '\*' in $ s $ to obtain a string $ t $ , then the string $ t $ matches the pattern $ s $ . For example, if $ s= $ "aba\*aba" then the following strings match it "abaaba", "abacaba" and "abazzzaba", but the following strings do not match: "ababa", "abcaaba", "codeforces", "aba1aba", "aba?aba". If the given string $ t $ matches the given string $ s $ , print "YES", otherwise print "NO".

The first line contains two integers $ n $ and $ m $ ( $ 1 \le n, m \le 2 \cdot 10^5 $ ) — the length of the string $ s $ and the length of the string $ t $ , respectively. The second line contains string $ s $ of length $ n $ , which consists of lowercase Latin letters and at most one wildcard character '\*'. The third line contains string $ t $ of length $ m $ , which consists only of lowercase Latin letters.

Print "YES" (without quotes), if you can obtain the string $ t $ from the string $ s $ . Otherwise print "NO" (without quotes).

In the first example a wildcard character '\*' can be replaced with a string "force". So the string $ s $ after this replacement is "codeforces" and the answer is "YES". In the second example a wildcard character '\*' can be replaced with an empty string. So the string $ s $ after this replacement is "vkcup" and the answer is "YES". There is no wildcard character '\*' in the third example and the strings "v" and "k" are different so the answer is "NO". In the fourth example there is no such replacement of a wildcard character '\*' that you can obtain the string $ t $ so the answer is "NO".