시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 21 4 3 42.857%

문제

동규는 이번에 새로 나온 그림판 프로그램을 설치했다. 이 프로그램에서 지원하는 색상의 개수는 K개이며, 각 색상은 1부터 K까지 번호가 매겨져 있다. 그림을 그릴 수 있는 캔버스의 크기는 N*N이다. 가장 처음에 모든 칸은 흰색 (1번 색상)으로 칠해져 있다. 이 그림판은 마우스를 이용해서 그림을 그릴 수 없고 키보드로 명령어를 입력해야 한다.

캔버스의 가장 왼쪽 위 칸의 좌표는 (0, 0)이다. 첫 번째 좌표는 x로 행을 나타내고, 두 번째 좌표는 y로 열을 나타낸다.

동규가 가장 좋아하는 그림판 명령어는 PAINT c x1 y1 x2 y2이다. 이 명령어는 선택한 직사각형을 체스판 패턴으로 칠한다. 여기서 c는 색칠할 색상이고, (x1, y1), (x2, y2)는 색칠할 직사각형의 왼쪽 위와 오른쪽 아래 좌표이다.

가장 왼쪽 위 칸의 색상은 명령어에서 고른 색상 c가 된다. 나머지 칸의 색은 체스판 패턴에 의해서 결정된다. 이때, 색칠되지 않는 칸의 색상은 원래 색상을 그대로 유지한다. 아래 그림은 흰색 캔버스에 빨간 체스판 패턴을 칠했을 때의 모습이다.

그림판에는 두 가지 명령어가 더 있다. 첫 번째는 SAVE로 현재 캔버스를 저장하는 명령이다. 두 번째 명령은 LOAD x로 x번째 저장한 캔버스를 불러오는 명령이다.

하루종일 그림을 그리던 동규는 실수로 저장을 하지 않고 프로그램을 종료했다. 하지만, 이 프로그램은 사용자가 입력한 명령을 순서대로 저장하고 있다. 동규가 입력한 명령을 수행했을 때, 각 칸에 색칠되어 있는 색상을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 N(1 ≤ N ≤ 1000), K(2 ≤ K ≤ 100,000), M(1 ≤ M ≤ 100,000, M은 명령의 개수)이 주어진다.

다음 M개의 줄에는 문제에서 설명한 세 가지 명령어중 하나가 주어진다. 올바르지 않은 명령이 주어지는 경우는 없다.

출력

N개 줄에 각 칸의 색상을 나타내는 N개의 숫자를 출력한다.

예제 입력 1

3 4 7
PAINT 2 0 0 1 1
SAVE
PAINT 3 1 1 2 2
SAVE
PAINT 4 0 2 0 2
LOAD 2
PAINT 4 2 0 2 0

예제 출력 1

2 1 1
1 3 1
4 1 3
[{"problem_id":"2856","problem_lang":"0","title":"\ub3d9\uaddc\uac00 \uc124\uce58\ud55c \uadf8\ub9bc\ud310","description":"<p>\ub3d9\uaddc\ub294 \uc774\ubc88\uc5d0 \uc0c8\ub85c \ub098\uc628 \uadf8\ub9bc\ud310 \ud504\ub85c\uadf8\ub7a8\uc744 \uc124\uce58\ud588\ub2e4. \uc774 \ud504\ub85c\uadf8\ub7a8\uc5d0\uc11c \uc9c0\uc6d0\ud558\ub294 \uc0c9\uc0c1\uc758 \uac1c\uc218\ub294 K\uac1c\uc774\uba70, \uac01 \uc0c9\uc0c1\uc740 1\ubd80\ud130 K\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uadf8\ub9bc\uc744 \uadf8\ub9b4 \uc218 \uc788\ub294 \uce94\ubc84\uc2a4\uc758 \ud06c\uae30\ub294 N*N\uc774\ub2e4. \uac00\uc7a5 \ucc98\uc74c\uc5d0 \ubaa8\ub4e0 \uce78\uc740 \ud770\uc0c9 (1\ubc88 \uc0c9\uc0c1)\uc73c\ub85c \uce60\ud574\uc838 \uc788\ub2e4. \uc774 \uadf8\ub9bc\ud310\uc740 \ub9c8\uc6b0\uc2a4\ub97c \uc774\uc6a9\ud574\uc11c \uadf8\ub9bc\uc744 \uadf8\ub9b4 \uc218 \uc5c6\uace0 \ud0a4\ubcf4\ub4dc\ub85c \uba85\ub839\uc5b4\ub97c \uc785\ub825\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uce94\ubc84\uc2a4\uc758 \uac00\uc7a5 \uc67c\ucabd \uc704 \uce78\uc758 \uc88c\ud45c\ub294 (0, 0)\uc774\ub2e4. \uccab \ubc88\uc9f8 \uc88c\ud45c\ub294 x\ub85c \ud589\uc744 \ub098\ud0c0\ub0b4\uace0, \ub450 \ubc88\uc9f8 \uc88c\ud45c\ub294 y\ub85c \uc5f4\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\uaddc\uac00 \uac00\uc7a5 \uc88b\uc544\ud558\ub294 \uadf8\ub9bc\ud310 \uba85\ub839\uc5b4\ub294 PAINT c x1 y1 x2 y2\uc774\ub2e4. \uc774 \uba85\ub839\uc5b4\ub294 \uc120\ud0dd\ud55c \uc9c1\uc0ac\uac01\ud615\uc744 \uccb4\uc2a4\ud310 \ud328\ud134\uc73c\ub85c \uce60\ud55c\ub2e4. \uc5ec\uae30\uc11c c\ub294 \uc0c9\uce60\ud560 \uc0c9\uc0c1\uc774\uace0, (x1, y1), (x2, y2)\ub294 \uc0c9\uce60\ud560 \uc9c1\uc0ac\uac01\ud615\uc758 \uc67c\ucabd \uc704\uc640 \uc624\ub978\ucabd \uc544\ub798 \uc88c\ud45c\uc774\ub2e4.<\/p>\r\n\r\n<p>\uac00\uc7a5 \uc67c\ucabd \uc704 \uce78\uc758 \uc0c9\uc0c1\uc740 \uba85\ub839\uc5b4\uc5d0\uc11c \uace0\ub978 \uc0c9\uc0c1 c\uac00 \ub41c\ub2e4. \ub098\uba38\uc9c0 \uce78\uc758 \uc0c9\uc740 \uccb4\uc2a4\ud310 \ud328\ud134\uc5d0 \uc758\ud574\uc11c \uacb0\uc815\ub41c\ub2e4. \uc774\ub54c, \uc0c9\uce60\ub418\uc9c0 \uc54a\ub294 \uce78\uc758 \uc0c9\uc0c1\uc740 \uc6d0\ub798 \uc0c9\uc0c1\uc744 \uadf8\ub300\ub85c \uc720\uc9c0\ud55c\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc740 \ud770\uc0c9 \uce94\ubc84\uc2a4\uc5d0 \ube68\uac04 \uccb4\uc2a4\ud310 \ud328\ud134\uc744 \uce60\ud588\uc744 \ub54c\uc758 \ubaa8\uc2b5\uc774\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/paint.png\" style=\"height:180px; width:233px\" \/><\/p>\r\n\r\n<p>\uadf8\ub9bc\ud310\uc5d0\ub294 \ub450 \uac00\uc9c0 \uba85\ub839\uc5b4\uac00 \ub354 \uc788\ub2e4. \uccab \ubc88\uc9f8\ub294 SAVE\ub85c \ud604\uc7ac \uce94\ubc84\uc2a4\ub97c \uc800\uc7a5\ud558\ub294 \uba85\ub839\uc774\ub2e4. \ub450 \ubc88\uc9f8 \uba85\ub839\uc740 LOAD x\ub85c x\ubc88\uc9f8 \uc800\uc7a5\ud55c \uce94\ubc84\uc2a4\ub97c \ubd88\ub7ec\uc624\ub294 \uba85\ub839\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud558\ub8e8\uc885\uc77c \uadf8\ub9bc\uc744 \uadf8\ub9ac\ub358 \ub3d9\uaddc\ub294 \uc2e4\uc218\ub85c \uc800\uc7a5\uc744 \ud558\uc9c0 \uc54a\uace0 \ud504\ub85c\uadf8\ub7a8\uc744 \uc885\ub8cc\ud588\ub2e4. \ud558\uc9c0\ub9cc, \uc774 \ud504\ub85c\uadf8\ub7a8\uc740 \uc0ac\uc6a9\uc790\uac00 \uc785\ub825\ud55c \uba85\ub839\uc744 \uc21c\uc11c\ub300\ub85c \uc800\uc7a5\ud558\uace0 \uc788\ub2e4. \ub3d9\uaddc\uac00 \uc785\ub825\ud55c \uba85\ub839\uc744 \uc218\ud589\ud588\uc744 \ub54c, \uac01 \uce78\uc5d0 \uc0c9\uce60\ub418\uc5b4 \uc788\ub294 \uc0c9\uc0c1\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 N(1 &le; N &le; 1000), K(2 &le; K &le; 100,000), M(1 &le; M &le; 100,000, M\uc740 \uba85\ub839\uc758 \uac1c\uc218)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c\uc758 \uc904\uc5d0\ub294 \ubb38\uc81c\uc5d0\uc11c \uc124\uba85\ud55c \uc138 \uac00\uc9c0 \uba85\ub839\uc5b4\uc911 \ud558\ub098\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc62c\ubc14\ub974\uc9c0 \uc54a\uc740 \uba85\ub839\uc774 \uc8fc\uc5b4\uc9c0\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>N\uac1c \uc904\uc5d0 \uac01 \uce78\uc758 \uc0c9\uc0c1\uc744 \ub098\ud0c0\ub0b4\ub294 N\uac1c\uc758 \uc22b\uc790\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2856","problem_lang":"1","title":"SLIKA","description":"<p>Mirko has just installed a brand new drawing program. The program supports K different colours, denoted by integers from 1 to K. All drawing is performed on a canvas with dimensions N&times;N. In the beginning, all cells are white (denoted by 1).&nbsp;<\/p>\r\n\r\n<p>The upper left cell of the canvas has coordinates (0, 0). The first coordinate, x, increases iterating over rows, and the second, y, increases iterating over columns.&nbsp;<\/p>\r\n\r\n<p>Mirko&rsquo;s favourite pastime is drawing rectangular checkerboard patterns using the command PAINT c x1 y1 x2 y2, where c denotes the chosen colour, and (x1, y1) and (x2, y2) are coordinates of the upper left and lower right cells, respectively, of the rectangle being painted.&nbsp;<\/p>\r\n\r\n<p>The upper left cell of the rectangle will be painted in the chosen colour, while the rest are determined by the checkerboard pattern. Cells that are not painted over by the chosen colour will retain their previous colour. For example, a white canvas painted over by a red checkerboard pattern will look like this:&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/paint.png\" style=\"height:180px; width:233px\" \/><\/p>\r\n\r\n<p>Mirko has recently discovered two additional commands. He can save his painting at any time using the creatively named command SAVE, and load it again later using the command LOAD x, where x is a positive integer representing the ordinal number of the save.&nbsp;<\/p>\r\n\r\n<p>Unfortunately, the program has crashed and Mirko&rsquo;s painting is lost forever. Luckily, Mirko has saved a log of all used commands. Can you help Mirko by reconstructing the lost painting?&nbsp;<\/p>\r\n","input":"<p>The first line of input contains three positive integers, N (1 &le; N &le; 1000), K (2 &le; K &le; 100 000), and M (1 &le; M &le; 100 000, M is the number of commands).&nbsp;<\/p>\r\n\r\n<p>Each of the following M lines contains one of the three described commands. Input will not contain any illegal commands.&nbsp;<\/p>\r\n","output":"<p>Output must consist of N lines, each containing N integers representing the colours of cells in the corresponding row of the painting.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_code":"\uc601\uc5b4"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2010/2011 > Contest #5 6번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: QuqqU