시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 3 3 3 100.000%

문제

아스키 아트란, 아스키 코드에 포함되는 문자, 기호를 사용한 그림을 말한다. 이 문제에서는 이를 좀 더 단순화한 경우를 생각해 보기로 한다.

직사각형 형태의 격자가 있다. 왼쪽 아래 꼭지점의 좌표는 (0, 0)이고, 오른쪽 위 꼭지점의 좌표는 (w, h)이다. 각 픽셀이란 (x, y) - (x+1, y+1) 로 이루어지는 한 변의 길이가 1인 정사각형을 말한다. (물론 여기서 0<=x<w , 0<=y<h이다.)

이러한 직사각형 격자 위에 다각형이 그려져 있다. 볼록 다각형은 아니지만, 자기 자신과 교차하거나 만나지 않는 단순 다각형이다. 이러한 다각형을 그리면 각 픽셀은 적절한 부분만 다각형 내부에 포함되게 된다. 예를 들어 아래 그림을 보자.

이제 우리는 각 픽셀을 하나의 아스키 코드 문자로 표현할 것이다. 단순히, 다각형 내부에 포함되어 있는 부분의 비율로만 판단하여, 다음과 같이 각각의 아스키 코드로 표현하기로 한다.

  • 0%이상 25%미만 . (아스키 코드 번호 46)
  • 25%이상 50%미만 + (아스키 코드 번호 43)
  • 50%이상 75%미만 o (아스키 코드 번호 111)
  • 75%이상 100%미만 \$ (아스키 코드 번호 36)
  • 100% # (아스키 코드 번호 35)

문제에서 주어진 규칙에 따라 다각형의 아스키 아트를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 n, w, h가 빈 칸을 사이에 두고 주어진다. n은 다각형의 꼭지점의 개수이며 w와 h는 격자의 폭과 높이이다. 이어서 n개의 줄에는 다각형을 이루는 꼭지점이 시계방향으로 주어진다. 정수 좌표 xi와 yi로 주어진다. (0<=xi<=w, 0<=yi<=h) 주어지는 n, w, h는 모두 100 이하의 자연수이다.

출력

h개 줄에 걸쳐 아스키 아트를 표현하는 w개의 문자를 출력한다.

예제 입력 1

6 8 7
7 6
1 0
1 7
5 5
2 4
2 3

예제 출력 1

.$+.....
.##$+...
.#$oo+..
.#+$o...
.##o....
.#o.....
.o......
[{"problem_id":"1597","problem_lang":"0","title":"\uc544\uc2a4\ud0a4 \uc544\ud2b8","description":"<p>\uc544\uc2a4\ud0a4 \uc544\ud2b8\ub780, \uc544\uc2a4\ud0a4 \ucf54\ub4dc\uc5d0 \ud3ec\ud568\ub418\ub294 \ubb38\uc790, \uae30\ud638\ub97c \uc0ac\uc6a9\ud55c \uadf8\ub9bc\uc744 \ub9d0\ud55c\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \uc774\ub97c \uc880 \ub354 \ub2e8\uc21c\ud654\ud55c \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574 \ubcf4\uae30\ub85c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc9c1\uc0ac\uac01\ud615 \ud615\ud0dc\uc758 \uaca9\uc790\uac00 \uc788\ub2e4. \uc67c\ucabd \uc544\ub798 \uaf2d\uc9c0\uc810\uc758 \uc88c\ud45c\ub294 (0, 0)\uc774\uace0, \uc624\ub978\ucabd \uc704 \uaf2d\uc9c0\uc810\uc758 \uc88c\ud45c\ub294 (w, h)\uc774\ub2e4. \uac01 \ud53d\uc140\uc774\ub780 (x, y) - (x+1, y+1) \ub85c \uc774\ub8e8\uc5b4\uc9c0\ub294 \ud55c \ubcc0\uc758 \uae38\uc774\uac00 1\uc778 \uc815\uc0ac\uac01\ud615\uc744 \ub9d0\ud55c\ub2e4. (\ubb3c\ub860 \uc5ec\uae30\uc11c 0&lt;=x&lt;w , 0&lt;=y&lt;h\uc774\ub2e4.)<\/p>\r\n\r\n<p>\uc774\ub7ec\ud55c \uc9c1\uc0ac\uac01\ud615 \uaca9\uc790 \uc704\uc5d0 \ub2e4\uac01\ud615\uc774 \uadf8\ub824\uc838 \uc788\ub2e4. \ubcfc\ub85d \ub2e4\uac01\ud615\uc740 \uc544\ub2c8\uc9c0\ub9cc, \uc790\uae30 \uc790\uc2e0\uacfc \uad50\ucc28\ud558\uac70\ub098 \ub9cc\ub098\uc9c0 \uc54a\ub294 \ub2e8\uc21c \ub2e4\uac01\ud615\uc774\ub2e4. \uc774\ub7ec\ud55c \ub2e4\uac01\ud615\uc744 \uadf8\ub9ac\uba74 \uac01 \ud53d\uc140\uc740 \uc801\uc808\ud55c \ubd80\ubd84\ub9cc \ub2e4\uac01\ud615 \ub0b4\ubd80\uc5d0 \ud3ec\ud568\ub418\uac8c \ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \uc544\ub798 \uadf8\ub9bc\uc744 \ubcf4\uc790.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/201004\/ascii.png\" style=\"height:215px; width:236px\" \/><\/p>\r\n\r\n<p>\uc774\uc81c \uc6b0\ub9ac\ub294 \uac01 \ud53d\uc140\uc744 \ud558\ub098\uc758 \uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubb38\uc790\ub85c \ud45c\ud604\ud560 \uac83\uc774\ub2e4. \ub2e8\uc21c\ud788, \ub2e4\uac01\ud615 \ub0b4\ubd80\uc5d0 \ud3ec\ud568\ub418\uc5b4 \uc788\ub294 \ubd80\ubd84\uc758 \ube44\uc728\ub85c\ub9cc \ud310\ub2e8\ud558\uc5ec, \ub2e4\uc74c\uacfc \uac19\uc774 \uac01\uac01\uc758 \uc544\uc2a4\ud0a4 \ucf54\ub4dc\ub85c \ud45c\ud604\ud558\uae30\ub85c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>0%\uc774\uc0c1 25%\ubbf8\ub9cc . (\uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubc88\ud638 46)<\/li>\r\n\t<li>25%\uc774\uc0c1 50%\ubbf8\ub9cc + (\uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubc88\ud638 43)<\/li>\r\n\t<li>50%\uc774\uc0c1 75%\ubbf8\ub9cc o&nbsp;(\uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubc88\ud638 111)<\/li>\r\n\t<li>75%\uc774\uc0c1 100%\ubbf8\ub9cc \\$ (\uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubc88\ud638 36)<\/li>\r\n\t<li>100% # (\uc544\uc2a4\ud0a4 \ucf54\ub4dc \ubc88\ud638 35)<\/li>\r\n<\/ul>\r\n\r\n<p>\ubb38\uc81c\uc5d0\uc11c \uc8fc\uc5b4\uc9c4 \uaddc\uce59\uc5d0 \ub530\ub77c \ub2e4\uac01\ud615\uc758 \uc544\uc2a4\ud0a4 \uc544\ud2b8\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 n, w, h\uac00 \ube48 \uce78\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4. n\uc740 \ub2e4\uac01\ud615\uc758 \uaf2d\uc9c0\uc810\uc758 \uac1c\uc218\uc774\uba70 w\uc640 h\ub294 \uaca9\uc790\uc758 \ud3ed\uacfc \ub192\uc774\uc774\ub2e4. \uc774\uc5b4\uc11c n\uac1c\uc758 \uc904\uc5d0\ub294 \ub2e4\uac01\ud615\uc744 \uc774\ub8e8\ub294 \uaf2d\uc9c0\uc810\uc774 \uc2dc\uacc4\ubc29\ud5a5\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc815\uc218 \uc88c\ud45c xi\uc640 yi\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. (0&lt;=xi&lt;=w, 0&lt;=yi&lt;=h) \uc8fc\uc5b4\uc9c0\ub294 n, w, h\ub294 \ubaa8\ub450 100 \uc774\ud558\uc758 \uc790\uc5f0\uc218\uc774\ub2e4.<\/p>\r\n","output":"<p>h\uac1c \uc904\uc5d0 \uac78\uccd0 \uc544\uc2a4\ud0a4 \uc544\ud2b8\ub97c \ud45c\ud604\ud558\ub294 w\uac1c\uc758 \ubb38\uc790\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1597","problem_lang":"1","title":"ASCII Art","description":"<p>ASCII art is an art of creating pictures with a grid of ASCII characters. There are many styles of ASCII art, but we are interested in the most primitive one, where just an overall character density is used to represent di\ufb00erently shaded areas of the picture.<\/p>\r\n\r\n<p>You should write a proof-of-concept program that renders a filled closed polygon with a rectangular grid of ASCII characters. The whole process is explained in detail below.<\/p>\r\n\r\n<p>Let OXY be a Cartesian coordinate system with OX pointing to the right and OY pointing up. Drawing canvas is bounded with (0; 0) &ndash; (w; h) rectangle. Pixels on the canvas are (x; y) &ndash; (x + 1; y + 1) squares where x and y are integers such that 0 &middot; x &lt; w and 0 &middot; y &lt; h. A filled closed polygon without selfintersections and self-touchings (but not necessarily convex) is drawn on the canvas. Pixels of the canvas become partially filled during the process. Each pixel is represented by an ASCII character depending on the percentage of its filled area according to the following table:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/asciiarttable.png\" style=\"height:122px; width:535px\" \/><\/p>\r\n\r\n<p>The resulting ASCII characters for all pixels are printed top-to-bottom and left-to-right to get a visual representation of the drawing.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/201004\/ascii.png\" style=\"height:215px; width:236px\" \/><\/p>\r\n","input":"<p>The first line of the input file contains integers n, w, and h (3 &le; n &le; 100, 1 &le; w, h &le; 100) &mdash; number of vertices in the polygon, width and height of the canvas respectively. The following n lines contain coordinates of the polygon vertices in clockwise order. Point i is described by two integers x<sub>i<\/sub> and y<sub>i<\/sub> (0 &le; xi &le; w, 0 &le; y<sub>i<\/sub> &le; h).<\/p>\r\n","output":"<p>Write to the output file h lines with w ASCII characters each that represent ASCII art drawing of the given polygon.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Europe > Northeastern European Regional Contest > NEERC 2006 A번

  • 문제의 오타를 찾은 사람: 7020kjs
  • 문제를 번역한 사람: author5