시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 153 58 46 56.098%

문제

마야 문자를 해독하는 일은 예상 외로 어려운 일이다. 현재에도 뜻이 완전히 밝혀진 마야 문자는 거의 없는 실정이며, 그나마 해독에 진척이 시작된 지는 30여 년도 되지 않았다.

마야 문자는 소리를 나타내는 여러 종류의 그림글자로 구성되는데, 이 글자들이 여러 위치에서 결합함으로써 단어를 형성한다.

마야 문자 해독을 어렵게 하는 요인 중 하나는 바로 단어를 읽는 순서이다. 마야 문자를 쓰는 고대인들은 단어를 기록할 때 특정한 규칙 대신, 그들이 보기에 좋게 보이도록 단어를 이루는 글자들을 아무렇게나 배열했다. 그렇기 때문에 고고학자들이 마야 기록에서 단어를 이루는 각 그림글자들의 발음을 알아내더라도 그 단어를 실제로 발음하는 방법은 정확히 알 수 없는 셈이다.

고고학자들은 W라는 특정 단어를 발굴 기록으로부터 찾고 있다. 그 단어를 구성하는 각 글자들은 무엇인지 알고 있지만, 이것이 고대 기록에 어떤 형태로 숨어 있는지는 다 알지 못한다.

W를 이루고 있는 g개의 그림문자와, 연구 대상인 벽화에 기록된 마야 문자열 S가 주어졌을 때, 단어 W가 마야 문자열 S에 들어있을 수 있는 모든 가짓수를 계산하는 프로그램을 작성하시오. 즉, 문자열  S안에서 문자열 W의 순열 중 하나가 부분 문자열로 들어있는 모든 경우의 수를 계산하라는 뜻이다.

입력

첫째 줄에 고고학자들이 찾고자 하는 단어 W의 길이 g와 발굴된 벽화에서 추출한 문자열 S의 길이 |S|가 빈 칸을 사이에 두고 주어진다. (1≤g≤3000,  g≤|S|≤3,000,000) 둘째 줄에 g, 셋째 줄에 S의 실제 내용이 들어있다. 모든 문자열은 알파벳으로 이루어지며, 대소문자를 구분한다.

출력

첫째 줄에 W의 순열이 S 안에 있을 수 있는 형태의 개수를 출력한다.

예제 입력 1

4 11
cAda
AbrAcadAbRa

예제 출력 1

2
[{"problem_id":"1593","problem_lang":"0","title":"\ubb38\uc790 \ud574\ub3c5","description":"<p>\ub9c8\uc57c \ubb38\uc790\ub97c \ud574\ub3c5\ud558\ub294 \uc77c\uc740 \uc608\uc0c1 \uc678\ub85c \uc5b4\ub824\uc6b4 \uc77c\uc774\ub2e4. \ud604\uc7ac\uc5d0\ub3c4 \ub73b\uc774 \uc644\uc804\ud788 \ubc1d\ud600\uc9c4 \ub9c8\uc57c \ubb38\uc790\ub294 \uac70\uc758 \uc5c6\ub294 \uc2e4\uc815\uc774\uba70, \uadf8\ub098\ub9c8 \ud574\ub3c5\uc5d0 \uc9c4\ucc99\uc774 \uc2dc\uc791\ub41c \uc9c0\ub294 30\uc5ec \ub144\ub3c4 \ub418\uc9c0 \uc54a\uc558\ub2e4.<\/p>\r\n<p>\ub9c8\uc57c \ubb38\uc790\ub294 \uc18c\ub9ac\ub97c \ub098\ud0c0\ub0b4\ub294 \uc5ec\ub7ec \uc885\ub958\uc758 \uadf8\ub9bc\uae00\uc790\ub85c \uad6c\uc131\ub418\ub294\ub370, \uc774 \uae00\uc790\ub4e4\uc774 \uc5ec\ub7ec \uc704\uce58\uc5d0\uc11c \uacb0\ud569\ud568\uc73c\ub85c\uc368 \ub2e8\uc5b4\ub97c \ud615\uc131\ud55c\ub2e4.<\/p>\r\n<p>\ub9c8\uc57c \ubb38\uc790 \ud574\ub3c5\uc744 \uc5b4\ub835\uac8c \ud558\ub294 \uc694\uc778 \uc911 \ud558\ub098\ub294 \ubc14\ub85c \ub2e8\uc5b4\ub97c \uc77d\ub294 \uc21c\uc11c\uc774\ub2e4. \ub9c8\uc57c \ubb38\uc790\ub97c \uc4f0\ub294 \uace0\ub300\uc778\ub4e4\uc740 \ub2e8\uc5b4\ub97c \uae30\ub85d\ud560 \ub54c \ud2b9\uc815\ud55c \uaddc\uce59 \ub300\uc2e0, \uadf8\ub4e4\uc774 \ubcf4\uae30\uc5d0 \uc88b\uac8c \ubcf4\uc774\ub3c4\ub85d \ub2e8\uc5b4\ub97c \uc774\ub8e8\ub294 \uae00\uc790\ub4e4\uc744 \uc544\ubb34\ub807\uac8c\ub098 \ubc30\uc5f4\ud588\ub2e4. \uadf8\ub807\uae30 \ub54c\ubb38\uc5d0 \uace0\uace0\ud559\uc790\ub4e4\uc774 \ub9c8\uc57c \uae30\ub85d\uc5d0\uc11c \ub2e8\uc5b4\ub97c \uc774\ub8e8\ub294 \uac01 \uadf8\ub9bc\uae00\uc790\ub4e4\uc758 \ubc1c\uc74c\uc744 \uc54c\uc544\ub0b4\ub354\ub77c\ub3c4 \uadf8 \ub2e8\uc5b4\ub97c \uc2e4\uc81c\ub85c \ubc1c\uc74c\ud558\ub294 \ubc29\ubc95\uc740 \uc815\ud655\ud788 \uc54c \uc218 \uc5c6\ub294 \uc148\uc774\ub2e4.<\/p>\r\n<p>\uace0\uace0\ud559\uc790\ub4e4\uc740 W\ub77c\ub294 \ud2b9\uc815 \ub2e8\uc5b4\ub97c \ubc1c\uad74 \uae30\ub85d\uc73c\ub85c\ubd80\ud130 \ucc3e\uace0 \uc788\ub2e4. \uadf8 \ub2e8\uc5b4\ub97c \uad6c\uc131\ud558\ub294 \uac01 \uae00\uc790\ub4e4\uc740 \ubb34\uc5c7\uc778\uc9c0 \uc54c\uace0 \uc788\uc9c0\ub9cc, \uc774\uac83\uc774 \uace0\ub300 \uae30\ub85d\uc5d0 \uc5b4\ub5a4 \ud615\ud0dc\ub85c \uc228\uc5b4 \uc788\ub294\uc9c0\ub294 \ub2e4 \uc54c\uc9c0 \ubabb\ud55c\ub2e4.<\/p>\r\n<p>W\ub97c \uc774\ub8e8\uace0 \uc788\ub294 g\uac1c\uc758 \uadf8\ub9bc\ubb38\uc790\uc640, \uc5f0\uad6c \ub300\uc0c1\uc778 \ubcbd\ud654\uc5d0 \uae30\ub85d\ub41c \ub9c8\uc57c \ubb38\uc790\uc5f4 S\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub2e8\uc5b4 W\uac00 \ub9c8\uc57c \ubb38\uc790\uc5f4 S\uc5d0 \ub4e4\uc5b4\uc788\uc744 \uc218 \uc788\ub294 \ubaa8\ub4e0 \uac00\uc9d3\uc218\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \uc989, \ubb38\uc790\uc5f4&nbsp; S\uc548\uc5d0\uc11c \ubb38\uc790\uc5f4 W\uc758 \uc21c\uc5f4 \uc911 \ud558\ub098\uac00 \ubd80\ubd84 \ubb38\uc790\uc5f4\ub85c \ub4e4\uc5b4\uc788\ub294 \ubaa8\ub4e0 \uacbd\uc6b0\uc758 \uc218\ub97c \uacc4\uc0b0\ud558\ub77c\ub294 \ub73b\uc774\ub2e4.<\/p>","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uace0\uace0\ud559\uc790\ub4e4\uc774 \ucc3e\uace0\uc790 \ud558\ub294 \ub2e8\uc5b4 W\uc758 \uae38\uc774 g\uc640 \ubc1c\uad74\ub41c \ubcbd\ud654\uc5d0\uc11c \ucd94\ucd9c\ud55c \ubb38\uc790\uc5f4 S\uc758 \uae38\uc774 |S|\uac00 \ube48 \uce78\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4. (1&le;g&le;3000,&nbsp; g&le;|S|&le;3,000,000) \ub458\uc9f8 \uc904\uc5d0 g, \uc14b\uc9f8 \uc904\uc5d0 S\uc758 \uc2e4\uc81c \ub0b4\uc6a9\uc774 \ub4e4\uc5b4\uc788\ub2e4. \ubaa8\ub4e0 \ubb38\uc790\uc5f4\uc740 \uc54c\ud30c\ubcb3\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c0\uba70, \ub300\uc18c\ubb38\uc790\ub97c \uad6c\ubd84\ud55c\ub2e4.<\/p>","output":"<p>\uccab\uc9f8 \uc904\uc5d0 W\uc758 \uc21c\uc5f4\uc774 S \uc548\uc5d0 \uc788\uc744 \uc218 \uc788\ub294 \ud615\ud0dc\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1593","problem_lang":"1","title":"Deciphering the Mayan Writing","description":"<p>Deciphering the Mayan writing has proven to be a harder task than anticipated by the early investigations. After almost two hundred years, very little of it was actually understood. It has been only in the last three decades that real advances have been made.&nbsp;<\/p>\r\n\r\n<p>Mayan writing is based on small drawings known as glyphs which represent sounds. Mayan words are normally written as glyphs put together at various positions.&nbsp;<\/p>\r\n\r\n<p>One of several problems in deciphering Mayan writing arises in the order of reading. When placing several glyphs in order to form a word, Mayan writers sometimes decided the position based more on their own esthetic views than on any particular rule. This leads to the fact that, even though the sound for many glyphs is known, sometimes archaeologists are not sure how to pronounce a written word.&nbsp;<\/p>\r\n\r\n<p>The archaeologists are looking for a special word W. They know the glyphs for it, but they don&rsquo;t know all the possible ways of arranging them. Since they knew you were coming to IOI&rsquo;06, they have asked for your help. They will provide you with the g glyphs from W and a sequence S of all the glyphs (in the order they appear) in the carvings they are studying. Help them by counting the number of possible appearances of the word W.&nbsp;<\/p>\r\n\r\n<p>Write a program that, given the glyphs for W and the sequence S of glyphs in the carvings, counts the number of possible appearances of W in S; that is, every sequence of consecutive g glyphs in S that is a permutation of the glyphs in W.&nbsp;<\/p>\r\n","input":"<p>LINE 1: Contains 2 space-separated integers that represent g and |S|.<br \/>\r\nLINE 2: Contains g consecutive characters that represent the glyphs in W. Valid characters are &lsquo;a&rsquo;-&lsquo;z&rsquo; and &lsquo;A&rsquo;-&lsquo;Z&rsquo;; uppercase and lowercase characters are considered different.&nbsp;<br \/>\r\nLINE 3: Contains |S| consecutive characters that represent the glyphs in the carvings. Valid characters are &lsquo;a&rsquo;-&lsquo;z&rsquo; and &lsquo;A&rsquo;-&lsquo;Z&rsquo;; uppercase and lowercase characters are considered different.&nbsp;<\/p>\r\n\r\n<p>1 &le; g &le; 3 000 the number of glyphs in W<br \/>\r\ng &le; |S| &le; 3 000 000 where |S| is the number of glyphs in the sequence S<\/p>\r\n","output":"<p>LINE 1: Must contain the count of possible appearances of W in S.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2006 1번

  • 문제를 번역한 사람: author5