Petya and Exam

给定一个字符集 $s$ 和待匹配字符串 $t$，$t$ 由小写英文字母，`?` 和 `*` 组成。给定 $q$ 次询问，对于每次询问，给定字符串 $x$，判断 $t$ 能否按照以下变换法则变成 $x$： $\bullet$ 对于 $t$ 中的 `?`，可以替换为一个 $s$ 中的字符。 $\bullet$ 对于 $t$ 中的 `*`，可以替换为任意个 $s$ 中不包含的小写英文字母或替换为空串。 保证最多只存在一个 `*` 号。

It's hard times now. Today Petya needs to score 100 points on Informatics exam. The tasks seem easy to Petya, but he thinks he lacks time to finish them all, so he asks you to help with one.. There is a glob pattern in the statements (a string consisting of lowercase English letters, characters "?" and "\*"). It is known that character "\*" occurs no more than once in the pattern. Also, $ n $ query strings are given, it is required to determine for each of them if the pattern matches it or not. Everything seemed easy to Petya, but then he discovered that the special pattern characters differ from their usual meaning. A pattern matches a string if it is possible to replace each character "?" with one good lowercase English letter, and the character "\*" (if there is one) with any, including empty, string of bad lowercase English letters, so that the resulting string is the same as the given string. The good letters are given to Petya. All the others are bad.

The first line contains a string with length from $ 1 $ to $ 26 $ consisting of distinct lowercase English letters. These letters are good letters, all the others are bad. The second line contains the pattern — a string $ s $ of lowercase English letters, characters "?" and "\*" ( $ 1<=|s|<=10^{5} $ ). It is guaranteed that character "\*" occurs in $ s $ no more than once. The third line contains integer $ n $ ( $ 1<=n<=10^{5} $ ) — the number of query strings. $ n $ lines follow, each of them contains single non-empty string consisting of lowercase English letters — a query string. It is guaranteed that the total length of all query strings is not greater than $ 10^{5} $ .

Print $ n $ lines: in the $ i $ -th of them print "YES" if the pattern matches the $ i $ -th query string, and "NO" otherwise. You can choose the case (lower or upper) for each letter arbitrary.

ab
a?a
2
aaa
aab

YES
NO

abc
a?a?a*
4
abacaba
abaca
apapa
aaaaax

NO
YES
NO
YES

In the first example we can replace "?" with good letters "a" and "b", so we can see that the answer for the first query is "YES", and the answer for the second query is "NO", because we can't match the third letter. Explanation of the second example. - The first query: "NO", because character "\*" can be replaced with a string of bad letters only, but the only way to match the query string is to replace it with the string "ba", in which both letters are good. - The second query: "YES", because characters "?" can be replaced with corresponding good letters, and character "\*" can be replaced with empty string, and the strings will coincide. - The third query: "NO", because characters "?" can't be replaced with bad letters. - The fourth query: "YES", because characters "?" can be replaced with good letters "a", and character "\*" can be replaced with a string of bad letters "x".