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문제

인터넷에 있는 정보의 양은 급속하게 증가하고 있다. 이런 정보의 폭발 시대에서는 찾으려고 하는 정보가 있는 웹 페이지만 들어가야 시간을 절약할 수 있다. 그러기 위해서 가장 중요한 검색 방법은 키워드 검색이다. 많은 검색 엔진은 키워드 검색을 사용할 수 있고, 키워드 검색을 통해서 유용한 정보를 포함하는 페이지에 접근할 수 있다.

키워드 검색에는 많은 변형이 있다. 만약 주어진 텍스트에서 문자열 하나를 찾는 경우에는 상당히 문제가 쉬워진다. 이러한 경우에는 여러 문자열에서 패턴을 찾거나 정규표현식을 이용해서 찾으면 된다.

이 문제는 문자열(기본 문자열)이 여러 개가 주어진다. 기본 문자열을 적절히 합쳐 한 문자열로 만든 뒤 이 문자열을 주어진 텍스트에서 찾아야 한다.

예를 들어, 기본 문자열이 aa, b, ccc일 때, 이 문자열을 합쳐서 만들 수 있는 문자열은 다음과 같이 6개가 있고, 각각을 텍스트에서 찾아야 한다. aabccc, aacccb, baaccc, bcccaa, cccaab, cccbaa

텍스트에는 이러한 문자열이 등장하는 횟수를 세야 한다. 즉, 텍스트에서 등장하는 문자열 위치의 개수를 세면 된다.

두 개 또는 그 이상의 문자열을 합친 것이 같을 수도 있다. 문제 설명을 조금 자세히 읽으면 이 경우를 어떻게 처리해야 하는지 알 수 있다. 예를 들어, 두 기본 문자열이 x와 xx일 때, 두 문자열을 합치면 둘 다 xxx가 된다. 문자열이 등장하는 위치의 개수를 세야하므로 이 경우에는 문자열 1개로 세면 된다.

문자열이 등장하는 구간이 겹칠 수도 있다. 예를 들어, xxxx에는 xxx가 두 번 등장한다. 이 경우에는 서로 다른 위치에서 등장하기 때문에, 두 가지로 계산한다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스의 첫째 줄에는 기본 문자열의 개수 n과 텍스트의 줄의 수 m이 주어진다. n은 1보다 크거나 같고, 12보다 작거나 같다.

다음 n개 줄은 기본 문자열이다. 이 문자열의 길이는 1보다 크거나 같고, 20보다 작거나 같다.

다음 m개 줄은 텍스트이다. 텍스트는 너무 길어질 수 있기 때문에, m줄로 나누어져 있다. 하지만, 줄바꿈은 텍스트의 일부가 아니며, 무시하고 검색을 해야 한다. 각 줄의 길이는 최대 100이며, 텍스트의 길이는 최대 5000이다. 텍스트는 비어있지 않다.

기본 문자열과 텍스트는 알파벳 소문자로만 이루어져 있다.

입력의 마지막 줄에는 0이 두 개 주어진다.

주의! 12!×5000은 231보다 매우 크다.

출력

각 테스트 케이스에 대해서, 문자열이 등장하는 위치의 개수를 출력한다.

예제 입력 1

3 1
aa
b
ccc
aabccczbaacccbaazaabbcccaa
3 1
a
b
c
cbbcbcbabaacabccaccbaacbccbcaaaccccbcbcbbcacbaacccaccbbcaacbbabbabaccc
3 4
aaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
0 0

예제 출력 1

5
12
197
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\uc608\ub97c \ub4e4\uc5b4, \ub450 \uae30\ubcf8 \ubb38\uc790\uc5f4\uc774 x\uc640 xx\uc77c \ub54c, \ub450 \ubb38\uc790\uc5f4\uc744 \ud569\uce58\uba74 \ub458 \ub2e4 xxx\uac00 \ub41c\ub2e4. \ubb38\uc790\uc5f4\uc774 \ub4f1\uc7a5\ud558\ub294 \uc704\uce58\uc758 \uac1c\uc218\ub97c \uc138\uc57c\ud558\ubbc0\ub85c \uc774 \uacbd\uc6b0\uc5d0\ub294 \ubb38\uc790\uc5f4 1\uac1c\ub85c \uc138\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p>\ubb38\uc790\uc5f4\uc774 \ub4f1\uc7a5\ud558\ub294 \uad6c\uac04\uc774 \uacb9\uce60 \uc218\ub3c4 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4, xxxx\uc5d0\ub294 xxx\uac00 \ub450 \ubc88 \ub4f1\uc7a5\ud55c\ub2e4. \uc774 \uacbd\uc6b0\uc5d0\ub294 \uc11c\ub85c \ub2e4\ub978 \uc704\uce58\uc5d0\uc11c \ub4f1\uc7a5\ud558\uae30 \ub54c\ubb38\uc5d0, \ub450 \uac00\uc9c0\ub85c \uacc4\uc0b0\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uae30\ubcf8 \ubb38\uc790\uc5f4\uc758 \uac1c\uc218 n\uacfc \ud14d\uc2a4\ud2b8\uc758 \uc904\uc758 \uc218 m\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. n\uc740 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0, 12\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p>\ub2e4\uc74c n\uac1c \uc904\uc740 \uae30\ubcf8 \ubb38\uc790\uc5f4\uc774\ub2e4. \uc774 \ubb38\uc790\uc5f4\uc758 \uae38\uc774\ub294 1\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0, 20\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p>\ub2e4\uc74c m\uac1c \uc904\uc740 \ud14d\uc2a4\ud2b8\uc774\ub2e4. \ud14d\uc2a4\ud2b8\ub294 \ub108\ubb34 \uae38\uc5b4\uc9c8 \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, m\uc904\ub85c \ub098\ub204\uc5b4\uc838 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \uc904\ubc14\uafc8\uc740 \ud14d\uc2a4\ud2b8\uc758 \uc77c\ubd80\uac00 \uc544\ub2c8\uba70, \ubb34\uc2dc\ud558\uace0 \uac80\uc0c9\uc744 \ud574\uc57c \ud55c\ub2e4. \uac01 \uc904\uc758 \uae38\uc774\ub294 \ucd5c\ub300 100\uc774\uba70, \ud14d\uc2a4\ud2b8\uc758 \uae38\uc774\ub294 \ucd5c\ub300 5000\uc774\ub2e4. \ud14d\uc2a4\ud2b8\ub294 \ube44\uc5b4\uc788\uc9c0 \uc54a\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p>\uae30\ubcf8 \ubb38\uc790\uc5f4\uacfc \ud14d\uc2a4\ud2b8\ub294 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p>\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0\uc774 \ub450 \uac1c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n\r\n\r\n<p><strong>\uc8fc\uc758!<\/strong> 12!&times;5000\uc740 2<sup>31<\/sup>\ubcf4\ub2e4 \ub9e4\uc6b0 \ud06c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \ubb38\uc790\uc5f4\uc774 \ub4f1\uc7a5\ud558\ub294 \uc704\uce58\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3891","problem_lang":"1","title":"Search of Concatenated Strings","description":"<p>The amount of information on the World Wide Web is growing quite rapidly. In this information explosion age, we must survive by accessing only the Web pages containing information relevant to our own needs. One of the key technologies for this purpose is keyword search. By using well-known search engines, we can easily access those pages containing useful information about the topic we want to know.<\/p>\r\n\r\n<p>There are many variations in keyword search problems. If a single string is searched in a given text, the problem is quite easy. If the pattern to be searched consists of multiple strings, or is given by some powerful notation such as regular expressions, the task requires elaborate algorithms to accomplish efficiently.<\/p>\r\n\r\n<p>In our problem, a number of strings (element strings) are given, but they are not directly searched for. Concatenations of all the element strings in any order are the targets of the search here.<\/p>\r\n\r\n<p>For example, consider three element strings aa, b and ccc are given. In this case, the following six concatenated strings are the targets of the search, i.e. they should be searched in the text.<\/p>\r\n\r\n<p>aabccc<br \/>\r\naacccb<br \/>\r\nbaaccc<br \/>\r\nbcccaa<br \/>\r\ncccaab<br \/>\r\ncccbaa<\/p>\r\n\r\n<p>The text may contain several occurrences of these strings. You are requested to count the number of occurrences of these strings, or speaking more precisely, the number of positions of occurrences in the text.<\/p>\r\n\r\n<p>Two or more concatenated strings may be identical. In such cases, it is necessary to consider subtle aspects of the above problem statement. For example, if two element strings are x and xx, the string xxx is an occurrence of both the concatenation of x and xx and that of xx and x. Since the number of positions of occurrences should be counted, this case is counted as one, not two.<\/p>\r\n\r\n<p>Two occurrences may overlap. For example, the string xxxx has occurrences of the concatenation xxx in two di\ufb00erent positions. This case is counted as two.<\/p>\r\n","input":"<p>The input consists of a number of datasets, each giving a set of element strings and a text. The format of a dataset is as follows.<\/p>\r\n\r\n<pre>\r\nn m\r\ne<sub>1<\/sub>\r\ne<sub>2<\/sub>\r\n...\r\ne<sub>n<\/sub>\r\nt<sub>1<\/sub>\r\nt<sub>2<\/sub>\r\n...\r\nt<sub>m<\/sub>\r\n<\/pre>\r\n\r\n<p>The first line contains two integers separated by a space. n is the number of element strings. m is the number of lines used to represent the text. n is between 1 and 12, inclusive.<\/p>\r\n\r\n<p>Each of the following n lines gives an element string. The length (number of characters) of an element string is between 1 and 20, inclusive.<\/p>\r\n\r\n<p>The last m lines as a whole give the text. Since it is not desirable to have a very long line, the text is separated into m lines by newlines, but these newlines should be ignored. They are not parts of the text. The length of each of these lines (not including the newline) is between 1 and 100, inclusive. The length of the text is between 1 and 5000, inclusive.<\/p>\r\n\r\n<p>The end of the input is indicated by a line containing two zeros separated by a space.<\/p>\r\n\r\n<p><strong>CAUTION!<\/strong> Although the sample input contains only small datasets, note that 12! &times; 5000 is far larger than 231.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","output":"<p>For each dataset in the input, one line containing the number of matched positions should be output. An output line should not contain extra characters.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Asia Pacific > Japan > Asia Regional Contest 2008 in Aizu G번