문제
알파벳 소문자로 이루어진 문자열 $S$가 주어진다.
알파벳 소문자 및 "*"로 이루어진 문자열 $T$는 다음 조건을 만족할 때 $S$와 매칭된다.
- $T$의 각 "*"들을 각각 길이가 0ドル$ 이상인 임의의 문자열로 대체했을 때 $S$를 만들 수 있다.
예를 들어 "a*b"는 "ab", "acb", "aabb" 등과 매칭되지만 "abc"와는 매칭되지 않는다.
만약 다음 조건을 만족한다면 매칭이 유일하다.
- $T$의 각 "*"를 문자열로 대체하여 $S$를 만드는 방법이 유일하다.
예를 들어 "a*b*c"는 "abc", "axbxc"와의 매칭은 유일하지만, "abbc"와의 매칭은 유일하지 않다. 첫 번째 "*"를 "b", 두 번째 "*"를 빈 문자열로 바꾸어도 되고, 첫 번째 "*"를 빈 문자열, 두 번째 "*"를 "b"로 바꾸어도 되기 때문이다.
$S$가 주어질 때 다음 쿼리에 답하는 프로그램을 작성하여라.
- 문자열 $T$가 주어지면 $T$가 $S$와 매칭되는지, 매칭된다면 유일한지 여부를 출력한다.
출력
각 쿼리에 대한 답을 $Q$개의 줄에 걸쳐 순서대로 출력한다.
그중 $i$번째 줄에는 각 $T_{i}$에 대해서 $S$와 매칭되지 않는 경우 0, 매칭되고 유일한 경우 1, 그 외의 경우 2를 출력한다.
[{"problem_id":"34089","problem_lang":"0","title":"Wildcard and Query","description":"<p>\uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4 $S$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790 \ubc0f &quot;*&quot;\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4 $T$\ub294 \ub2e4\uc74c \uc870\uac74\uc744 \ub9cc\uc871\ud560 \ub54c $S$\uc640 <strong>\ub9e4\uce6d<\/strong>\ub41c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$T$\uc758 \uac01 &quot;*&quot;\ub4e4\uc744 \uac01\uac01 \uae38\uc774\uac00 $0$ \uc774\uc0c1\uc778 \uc784\uc758\uc758 \ubb38\uc790\uc5f4\ub85c \ub300\uccb4\ud588\uc744 \ub54c $S$\ub97c \ub9cc\ub4e4 \uc218 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 &quot;a*b&quot;\ub294 &quot;ab&quot;, &quot;acb&quot;, &quot;aabb&quot; \ub4f1\uacfc <strong>\ub9e4\uce6d<\/strong>\ub418\uc9c0\ub9cc &quot;abc&quot;\uc640\ub294 <strong>\ub9e4\uce6d<\/strong>\ub418\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d \ub2e4\uc74c \uc870\uac74\uc744 \ub9cc\uc871\ud55c\ub2e4\uba74 <strong>\ub9e4\uce6d<\/strong>\uc774 <strong>\uc720\uc77c<\/strong>\ud558\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>$T$\uc758 \uac01 &quot;*&quot;\ub97c \ubb38\uc790\uc5f4\ub85c \ub300\uccb4\ud558\uc5ec $S$\ub97c \ub9cc\ub4dc\ub294 \ubc29\ubc95\uc774 \uc720\uc77c\ud558\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 &quot;a*b*c&quot;\ub294 &quot;abc&quot;, &quot;axbxc&quot;\uc640\uc758 <strong>\ub9e4\uce6d<\/strong>\uc740 <strong>\uc720\uc77c<\/strong>\ud558\uc9c0\ub9cc, &quot;abbc&quot;\uc640\uc758 <strong>\ub9e4\uce6d<\/strong>\uc740 <strong>\uc720\uc77c<\/strong>\ud558\uc9c0 \uc54a\ub2e4. \uccab \ubc88\uc9f8 &quot;*&quot;\ub97c &quot;b&quot;, \ub450 \ubc88\uc9f8 &quot;*&quot;\ub97c \ube48 \ubb38\uc790\uc5f4\ub85c \ubc14\uafb8\uc5b4\ub3c4 \ub418\uace0, \uccab \ubc88\uc9f8 &quot;*&quot;\ub97c \ube48 \ubb38\uc790\uc5f4, \ub450 \ubc88\uc9f8 &quot;*&quot;\ub97c &quot;b&quot;\ub85c \ubc14\uafb8\uc5b4\ub3c4 \ub418\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>$S$\uac00 \uc8fc\uc5b4\uc9c8 \ub54c \ub2e4\uc74c \ucffc\ub9ac\uc5d0 \ub2f5\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec\ub77c.<\/p>\r\n\r\n<ul>\r\n\t<li>\ubb38\uc790\uc5f4 $T$\uac00 \uc8fc\uc5b4\uc9c0\uba74 $T$\uac00 $S$\uc640 <strong>\ub9e4\uce6d<\/strong>\ub418\ub294\uc9c0, <strong>\ub9e4\uce6d<\/strong>\ub41c\ub2e4\uba74 <strong>\uc720\uc77c<\/strong>\ud55c\uc9c0 \uc5ec\ubd80\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4 $S$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\le |S|\\le 300\\, 000$)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0 \ucffc\ub9ac\uc758 \uc218 $Q$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ($1\\le Q\\le 300\\, 000$)<\/p>\r\n\r\n<p>\uc774\ud6c4 $Q$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0, \uadf8\uc911 $i$\ubc88\uc9f8 \uc904\uc5d0\ub294 \ubb38\uc790\uc5f4 $T_{i}$\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. $T_{i}$\ub294 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790 \ubc0f &quot;*&quot;\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ucffc\ub9ac\uc5d0 \ub300\ud574 $T_{i}$\ub4e4\uc758 \uae38\uc774\uc758 \ud569\uc740 $300\\, 000$ \uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ucffc\ub9ac\uc5d0 \ub300\ud55c \ub2f5\uc744 $Q$\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uadf8\uc911 $i$\ubc88\uc9f8 \uc904\uc5d0\ub294 \uac01 $T_{i}$\uc5d0 \ub300\ud574\uc11c $S$\uc640 <strong>\ub9e4\uce6d<\/strong>\ub418\uc9c0 \uc54a\ub294 \uacbd\uc6b0 <span style=\"color:#e74c3c;\"><code>0<\/code><\/span>, <strong>\ub9e4\uce6d<\/strong>\ub418\uace0 <strong>\uc720\uc77c<\/strong>\ud55c \uacbd\uc6b0 <span style=\"color:#e74c3c;\"><code>1<\/code><\/span>, \uadf8 \uc678\uc758 \uacbd\uc6b0 <span style=\"color:#e74c3c;\"><code>2<\/code><\/span>\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"34089","problem_lang":"1","title":"Wildcard and Query","description":"<p>You are given a string $S$ consisting of lowercase letters of the English alphabet.<\/p>\r\n\r\n<p>A string $T$ consisting of English lowercase letters and &quot;*&quot; is considered to <strong>match<\/strong> $S$ when the following condition is satisfied.<\/p>\r\n\r\n<ul>\r\n\t<li>$S$ can be made from $T$ by replacing each &quot;*&quot; with an arbitrary string of length $0$ or greater.<\/li>\r\n<\/ul>\r\n\r\n<p>For example, &quot;a*b&quot; <strong>match<\/strong>es &quot;ab&quot;, &quot;acb&quot;, and &quot;aabb&quot; but does not <strong>match<\/strong> &quot;abc&quot;.<\/p>\r\n\r\n<p>A <strong>match<\/strong> is considered <strong>unique<\/strong> if the following condition is satisfied.<\/p>\r\n\r\n<ul>\r\n\t<li>There is only one possible way of replacing each &quot;*&quot; in $T$ to make $S$.<\/li>\r\n<\/ul>\r\n\r\n<p>For example, &quot;a*b*c&quot; <strong>unique<\/strong>ly <strong>match<\/strong>es &quot;abc&quot; and &quot;axbxc&quot; but does not <strong>unique<\/strong>ly <strong>match<\/strong> &quot;abbc&quot;. This is because you can replace the first &quot;*&quot; with &quot;b&quot; and the second &quot;*&quot; with an empty string, or alternatively, replace the first &quot;*&quot; with an empty string and the second &quot;*&quot; with &quot;b&quot;.<\/p>\r\n\r\n<p>Given $S$, write a program which answers the following queries.<\/p>\r\n\r\n<ul>\r\n\t<li>Given a string $T$, determine whether $T$ and $S$ <strong>match<\/strong> and if they do, whether the <strong>match<\/strong> is <strong>unique<\/strong>.<\/li>\r\n<\/ul>\r\n","input":"<p>The first line of input contains $S$, a string consisting of lowercase letters of the English alphabet. ($1\\le |S|\\le 300\\, 000$)<\/p>\r\n\r\n<p>The second line of input contains $Q$, denoting the number of queries. ($1\\le Q\\le 300\\, 000$)<\/p>\r\n\r\n<p>Each of the following $Q$ lines contains a string $T_{i}$. $T_{i}$ consists of English lowercase letters and &quot;*&quot;.<\/p>\r\n\r\n<p>The sum of the lengths of $T_{i}$ over all queries does not exceed $300\\, 000$.<\/p>\r\n","output":"<p>For each $T_{i}$, print <span style=\"color:#e74c3c;\"><code>0<\/code><\/span> if it does not <strong>match<\/strong> $S$, <span style=\"color:#e74c3c;\"><code>1<\/code><\/span> if the <strong>match<\/strong> is <strong>unique<\/strong>, and <span style=\"color:#e74c3c;\"><code>2<\/code><\/span> otherwise.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]