시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1427 345 282 24.780%

문제

현환이는 음악 학원에서 피아노를 배우고 있다. 어느 날 선생님은 현환이에게 조표가 없는 악보를 주었다. 자 이제 어떤 음계가 사용되었는지 알아보려고 한다. 현환이는 피아노를 배운지 얼마 되지 않았기 때문에, 칠 수 있는 음계는 가단조와 다장조밖에 없다.

현대 음악에서 한 옥타브는 12음 {A, A#, B, C, C#, D, D#, E, F, F#, G, G#}으로 이루어진다. 가단조를 구성하는 음의 순서는 (A, B, C, D, E, F, G)이고, 다장조를 구성하는 음의 순서는 (C, D, E, F, G, A, B)이다.

가단조와 다장조를 구성하는 음은 같다. 그럼 차이는 무엇일까?

첫 번째 차이는 중심음의 차이이다. 으뜸음은 음계에서 가장 첫 번째 위치에 있는 음이고, 버금딸림음은 네 번째 위치에 있는 음이다. 마지막으로 딸림음은 다섯 번째 위치에 있는 음이다. 가단조에서 으뜸음, 버금딸림음, 딸림음은 A, D, E이고, 다장조에서는 C, F, G이다. 이 세 음을 중심음이라고 한다.

두 번째 차이는 음정의 차이이다. 가단조에서 세 번째 음(C)은 으뜸음(A)보다 반음 세 개 높고, 다장조에서 세 번째 음(E)은 으뜸음(C)보다 반음 네 개 높다. 이러한 음정의 차이때문에 단조는 슬픈 느낌을, 장조는 기쁜 느낌을 준다.

가단조 또는 다장조의 음악이 주어졌을 때, 어떤 음계인지 알아내는 프로그램을 작성하시오.

각 마디의 첫 음으로 나오는 중심음이 가장 많은 음계가 그 음악의 음계이다. 가단조와 다장조의 중심음 개수가 같은 경우에는 마지막 음으로 음계를 결정한다. 마지막 음은 가단조인 경우 A, D, 또는 E로 주어지며, 다장조인 경우 C, F 또는 G로 주어진다.

예를 들어, 유명한 음악인 Frère Jacques의 악보는 다음과 같다.

CD|EC|CD|EC|EF|G|EF|G|GAGF|EC|GAGF|EC|CG|C|CG|C

|는 각 마디를 나누는 마디선이다. 여기서 각 마디의 첫 번째 음을 적어보면 다음과 같다. (C, E, C, E, E, G, E, G, G, E, G, E, C, C, C, C) 여기서 (C, C, G, G, G, G, C, C, C, C)는 다장조의 중심음이고, (E, E, E, E, E, E)는 가단조의 중심음이다. 따라서, 이 음악은 다장조이다.

입력

첫째 줄에 음악이 주어진다. 음악은 {"A", "B", "C", "D", "E", "F", "G", "|"}로 이루어져 있으며, 길이는 5보다 크거나 같고, 100을 넘지 않는다. |가 연속해서 등장하거나, 문자열의 양쪽 끝에 나오는 경우는 없다.

출력

다장조라면 C-major, 가단조라면 A-minor를 출력한다. 항상 둘 중 하나로 답이 결정되는 입력만 주어진다.

예제 입력 1

CD|EC|CD|EC|EF|G|EF|G|GAGF|EC|GAGF|EC|CG|C|CG|C

예제 출력 1

C-major
[{"problem_id":"5211","problem_lang":"0","title":"\uac00\ub2e8\uc870\uc640 \ub2e4\uc7a5\uc870","description":"<p>\ud604\ud658\uc774\ub294 \uc74c\uc545 \ud559\uc6d0\uc5d0\uc11c \ud53c\uc544\ub178\ub97c \ubc30\uc6b0\uace0 \uc788\ub2e4. \uc5b4\ub290 \ub0a0 \uc120\uc0dd\ub2d8\uc740 \ud604\ud658\uc774\uc5d0\uac8c \uc870\ud45c\uac00 \uc5c6\ub294 \uc545\ubcf4\ub97c \uc8fc\uc5c8\ub2e4. \uc790 \uc774\uc81c \uc5b4\ub5a4 \uc74c\uacc4\uac00 \uc0ac\uc6a9\ub418\uc5c8\ub294\uc9c0 \uc54c\uc544\ubcf4\ub824\uace0 \ud55c\ub2e4. \ud604\ud658\uc774\ub294 \ud53c\uc544\ub178\ub97c \ubc30\uc6b4\uc9c0 \uc5bc\ub9c8 \ub418\uc9c0 \uc54a\uc558\uae30 \ub54c\ubb38\uc5d0, \uce60 \uc218 \uc788\ub294 \uc74c\uacc4\ub294 \uac00\ub2e8\uc870\uc640 \ub2e4\uc7a5\uc870\ubc16\uc5d0 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ud604\ub300 \uc74c\uc545\uc5d0\uc11c \ud55c \uc625\ud0c0\ube0c\ub294 12\uc74c {A, A#, B, C, C#, D, D#, E, F, F#, G, G#}\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4\ub2e4. \uac00\ub2e8\uc870\ub97c \uad6c\uc131\ud558\ub294 \uc74c\uc758 \uc21c\uc11c\ub294 (A, B, C, D, E, F, G)\uc774\uace0, \ub2e4\uc7a5\uc870\ub97c \uad6c\uc131\ud558\ub294 \uc74c\uc758 \uc21c\uc11c\ub294 (C, D, E, F, G, A, B)\uc774\ub2e4.<\/p>\r\n\r\n<p>\uac00\ub2e8\uc870\uc640 \ub2e4\uc7a5\uc870\ub97c \uad6c\uc131\ud558\ub294 \uc74c\uc740 \uac19\ub2e4. \uadf8\ub7fc \ucc28\uc774\ub294 \ubb34\uc5c7\uc77c\uae4c?<\/p>\r\n\r\n<p>\uccab \ubc88\uc9f8 \ucc28\uc774\ub294 \uc911\uc2ec\uc74c\uc758 \ucc28\uc774\uc774\ub2e4. \uc73c\ub738\uc74c\uc740 \uc74c\uacc4\uc5d0\uc11c \uac00\uc7a5 \uccab \ubc88\uc9f8 \uc704\uce58\uc5d0 \uc788\ub294 \uc74c\uc774\uace0, \ubc84\uae08\ub538\ub9bc\uc74c\uc740 \ub124 \ubc88\uc9f8 \uc704\uce58\uc5d0 \uc788\ub294 \uc74c\uc774\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c \ub538\ub9bc\uc74c\uc740 \ub2e4\uc12f \ubc88\uc9f8 \uc704\uce58\uc5d0 \uc788\ub294 \uc74c\uc774\ub2e4. \uac00\ub2e8\uc870\uc5d0\uc11c \uc73c\ub738\uc74c, \ubc84\uae08\ub538\ub9bc\uc74c, \ub538\ub9bc\uc74c\uc740 A, D, E\uc774\uace0, \ub2e4\uc7a5\uc870\uc5d0\uc11c\ub294 C, F, G\uc774\ub2e4. \uc774 \uc138 \uc74c\uc744 \uc911\uc2ec\uc74c\uc774\ub77c\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \ucc28\uc774\ub294 \uc74c\uc815\uc758 \ucc28\uc774\uc774\ub2e4. \uac00\ub2e8\uc870\uc5d0\uc11c \uc138 \ubc88\uc9f8 \uc74c(C)\uc740 \uc73c\ub738\uc74c(A)\ubcf4\ub2e4 \ubc18\uc74c \uc138 \uac1c \ub192\uace0, \ub2e4\uc7a5\uc870\uc5d0\uc11c \uc138 \ubc88\uc9f8 \uc74c(E)\uc740 \uc73c\ub738\uc74c(C)\ubcf4\ub2e4 \ubc18\uc74c \ub124 \uac1c \ub192\ub2e4. \uc774\ub7ec\ud55c \uc74c\uc815\uc758 \ucc28\uc774\ub54c\ubb38\uc5d0 \ub2e8\uc870\ub294 \uc2ac\ud508&nbsp;\ub290\ub08c\uc744, \uc7a5\uc870\ub294 \uae30\uc05c \ub290\ub08c\uc744 \uc900\ub2e4.<\/p>\r\n\r\n<p>\uac00\ub2e8\uc870 \ub610\ub294 \ub2e4\uc7a5\uc870\uc758 \uc74c\uc545\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc5b4\ub5a4 \uc74c\uacc4\uc778\uc9c0 \uc54c\uc544\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uac01 \ub9c8\ub514\uc758 \uccab \uc74c\uc73c\ub85c&nbsp;\ub098\uc624\ub294 \uc911\uc2ec\uc74c\uc774 \uac00\uc7a5 \ub9ce\uc740 \uc74c\uacc4\uac00&nbsp;\uadf8 \uc74c\uc545\uc758 \uc74c\uacc4\uc774\ub2e4.&nbsp;\uac00\ub2e8\uc870\uc640 \ub2e4\uc7a5\uc870\uc758 \uc911\uc2ec\uc74c \uac1c\uc218\uac00 \uac19\uc740 \uacbd\uc6b0\uc5d0\ub294 \ub9c8\uc9c0\ub9c9 \uc74c\uc73c\ub85c \uc74c\uacc4\ub97c \uacb0\uc815\ud55c\ub2e4. \ub9c8\uc9c0\ub9c9 \uc74c\uc740 \uac00\ub2e8\uc870\uc778 \uacbd\uc6b0 A, D, \ub610\ub294 E\ub85c \uc8fc\uc5b4\uc9c0\uba70, \ub2e4\uc7a5\uc870\uc778 \uacbd\uc6b0 C, F \ub610\ub294 G\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4, \uc720\uba85\ud55c \uc74c\uc545\uc778 Fr&egrave;re Jacques\uc758 \uc545\ubcf4\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p>CD|EC|CD|EC|EF|G|EF|G|GAGF|EC|GAGF|EC|CG|C|CG|C<\/p>\r\n\r\n<p>|\ub294 \uac01 \ub9c8\ub514\ub97c \ub098\ub204\ub294 \ub9c8\ub514\uc120\uc774\ub2e4. \uc5ec\uae30\uc11c \uac01 \ub9c8\ub514\uc758 \uccab \ubc88\uc9f8 \uc74c\uc744 \uc801\uc5b4\ubcf4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4. (C, E, C, E, E, G, E, G, G, E, G, E, C, C, C, C) \uc5ec\uae30\uc11c (C, C, G, G, G, G, C, C, C, C)\ub294 \ub2e4\uc7a5\uc870\uc758 \uc911\uc2ec\uc74c\uc774\uace0, (E, E, E, E, E, E)\ub294 \uac00\ub2e8\uc870\uc758 \uc911\uc2ec\uc74c\uc774\ub2e4. \ub530\ub77c\uc11c, \uc774 \uc74c\uc545\uc740 \ub2e4\uc7a5\uc870\uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc74c\uc545\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc74c\uc545\uc740 {&quot;A&quot;, &quot;B&quot;, &quot;C&quot;, &quot;D&quot;, &quot;E&quot;, &quot;F&quot;, &quot;G&quot;, &quot;|&quot;}\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uae38\uc774\ub294 5\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uace0, 100\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4. |\uac00 \uc5f0\uc18d\ud574\uc11c \ub4f1\uc7a5\ud558\uac70\ub098,&nbsp;\ubb38\uc790\uc5f4\uc758 \uc591\ucabd \ub05d\uc5d0 \ub098\uc624\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\ub2e4\uc7a5\uc870\ub77c\uba74 C-major, \uac00\ub2e8\uc870\ub77c\uba74 A-minor\ub97c \ucd9c\ub825\ud55c\ub2e4. \ud56d\uc0c1 \ub458 \uc911 \ud558\ub098\ub85c \ub2f5\uc774 \uacb0\uc815\ub418\ub294 \uc785\ub825\ub9cc \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5211","problem_lang":"1","title":"LJESTVICA","description":"<p>Veronica attends a music academy. She was given a music sheet of a composition with only notes (without annotations), and needs to recognise the scale used. In this problem, we will limit ourselves to only the two most frequently used (and usually taught in schools first) scales: A-minor and C-major. This doesn&#39;t make them simpler or more basic than other minor and major scales &ndash; all minor scales are mutually equivalent save for translation, and so are major scales.<\/p>\r\n\r\n<p>Still, out of the 12 tones of an octave {A, A#, B, C, C#, D, D#, E, F, F#, G, G#} used in modern music, A-minor and C-major scales do use the tones with shortest names: A-minor is defined as an ordered septuple (A, B, C, D, E, F, G), and C-major as (C, D, E, F, G, A, B). Notice that the sets of tones of these two scales are equal. What&#39;s the difference? The catch is that not only the set of tones, but also their usage, determines a scale. Specifically, the tonic (the first tone of a scale), subdominant (the fourth tone) and dominant (the fifth tone) are the primary candidates for accented tones in a composition. In A-minor, these are A, D, and E, and in C-major, they are C, F, and G. We will name these tones main tones.<\/p>\r\n\r\n<p>Aren&#39;t the scales still equivalent save for translation? They are not: for example, the third tone of Aminor (C) is three half-tones higher than the tonic (A), while the third tone of C-major (E) is four halftones higher than the tonic (C). The difference, therefore, lies in the intervals. This makes minor scales &ldquo;sad&rdquo; and major scales &ldquo;happy&rdquo;.<\/p>\r\n\r\n<p>Write a program to decide if a composition is more likely written in A-minor or C-major by counting whether there are more main tones of A-minor or of C-major among the accented tones (the first tones in each measure). If there is an equal number of main tones, determine the scale based on the last tone (which is guaranteed to be either A, D, or E&nbsp;for A-minor or C, F, or G&nbsp;for C-major in any such test case).<\/p>\r\n\r\n<p>For example, examine the well-known melody &ldquo;Fr&egrave;re Jacques:<\/p>\r\n\r\n<p>CD|EC|CD|EC|EF|G|EF|G|GAGF|EC|GAGF|EC|CG|C|CG|C<\/p>\r\n\r\n<p>The character &ldquo;|&rdquo; separates measures, so the accented tones are, in order: C, E, C, E, E, G, E, G, G, E, G, E, C, C, C, C. Ten of them (C, C, G, G, G, G, C, C, C, C) are main tones of C-major, while six (E, E, E, E, E, E) are main tones of A-minor. Therefore, our best estimate is that the song was written in C-major.<\/p>\r\n","input":"<p>The first and only line of input contains a sequence of at least 5, and at most 100, characters from the set {&ldquo;A&rdquo;, &ldquo;B&rdquo;, &ldquo;C&rdquo;, &ldquo;D&rdquo;, &ldquo;E&rdquo;, &ldquo;F&rdquo;, &ldquo;G&rdquo;, &ldquo;|&rdquo;}. This is a simplified notation for a composition, where the character &ldquo;|&rdquo; separates measures. The characters &ldquo;|&rdquo; will never appear adjacent to one another, at the beginning, or at the end of the sequence.<\/p>\r\n","output":"<p>The first and only line of output must contain the text&nbsp;&ldquo;C-major&rdquo; (for C-major) or &ldquo;A-minor&rdquo; (for A minor).<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2012/2013 > Contest #5 1번