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문제

가로 A(1≤A≤100), 세로 B(1≤B≤100) 크기의 땅이 있다. 이 땅 위에 로봇들이 N(1≤N≤100)개 있다.

로봇들의 초기 위치는 x좌표와 y좌표로 나타난다. 위의 그림에서 보듯 x좌표는 왼쪽부터, y좌표는 아래쪽부터 순서가 매겨진다. 또한 각 로봇은 맨 처음에 NWES 중 하나의 방향을 향해 서 있다. 초기에 서 있는 로봇들의 위치는 서로 다르다.

이러한 로봇들에 M(1≤M≤100)개의 명령을 내리려고 한다. 각각의 명령은 순차적으로 실행된다. 즉, 하나의 명령을 한 로봇에서 내렸으면, 그 명령이 완수될 때까지 그 로봇과 다른 모든 로봇에게 다른 명령을 내릴 수 없다. 각각의 로봇에 대해 수행하는 명령은 다음의 세 가지가 있다.

  1. L: 로봇이 향하고 있는 방향을 기준으로 왼쪽으로 90도 회전한다.
  2. R: 로봇이 향하고 있는 방향을 기준으로 오른쪽으로 90도 회전한다.
  3. F: 로봇이 향하고 있는 방향을 기준으로 앞으로 한 칸 움직인다.

간혹 로봇들에게 내리는 명령이 잘못될 수도 있기 때문에, 당신은 로봇들에게 명령을 내리기 전에 한 번 시뮬레이션을 해 보면서 안전성을 검증하려 한다. 이를 도와주는 프로그램을 작성하시오.

잘못된 명령에는 다음의 두 가지가 있을 수 있다.

  1. Robot X crashes into the wall: X번 로봇이 벽에 충돌하는 경우이다. 즉, 주어진 땅의 밖으로 벗어나는 경우가 된다.
  2. Robot X crashes into robot Y: X번 로봇이 움직이다가 Y번 로봇에 충돌하는 경우이다.

입력

첫째 줄에 두 정수 A, B가 주어진다. 다음 줄에는 두 정수 N, M이 주어진다. 다음 N개의 줄에는 각 로봇의 초기 위치(x, y좌표 순) 및 방향이 주어진다. 다음 M개의 줄에는 각 명령이 명령을 내리는 순서대로 주어진다. 각각의 명령은 명령을 내리는 로봇, 명령의 종류(위에 나와 있는), 명령의 반복 회수로 나타낸다. 각 명령의 반복 회수는 1이상 100이하이다.

출력

첫째 줄에 시뮬레이션 결과를 출력한다. 문제가 없는 경우에는 OK를, 그 외의 경우에는 위의 형식대로 출력을 한다. 만약 충돌이 여러 번 발생하는 경우에는 가장 먼저 발생하는 충돌을 출력하면 된다.

예제 입력 1

5 4
2 2
1 1 E
5 4 W
1 F 7
2 F 7

예제 출력 1

Robot 1 crashes into the wall
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\uc11c \uc788\ub294 \ub85c\ubd07\ub4e4\uc758 \uc704\uce58\ub294 \uc11c\ub85c \ub2e4\ub974\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub7ec\ud55c \ub85c\ubd07\ub4e4\uc5d0 M(1&le;M&le;100)\uac1c\uc758 \uba85\ub839\uc744 \ub0b4\ub9ac\ub824\uace0 \ud55c\ub2e4. \uac01\uac01\uc758 \uba85\ub839\uc740 \uc21c\ucc28\uc801\uc73c\ub85c \uc2e4\ud589\ub41c\ub2e4. \uc989, \ud558\ub098\uc758 \uba85\ub839\uc744 \ud55c \ub85c\ubd07\uc5d0\uc11c \ub0b4\ub838\uc73c\uba74, \uadf8 \uba85\ub839\uc774 \uc644\uc218\ub420 \ub54c\uae4c\uc9c0 \uadf8 \ub85c\ubd07\uacfc \ub2e4\ub978 \ubaa8\ub4e0 \ub85c\ubd07\uc5d0\uac8c \ub2e4\ub978 \uba85\ub839\uc744 \ub0b4\ub9b4 \uc218 \uc5c6\ub2e4. \uac01\uac01\uc758 \ub85c\ubd07\uc5d0 \ub300\ud574 \uc218\ud589\ud558\ub294 \uba85\ub839\uc740 \ub2e4\uc74c\uc758 \uc138 \uac00\uc9c0\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>L:&nbsp;\ub85c\ubd07\uc774 \ud5a5\ud558\uace0 \uc788\ub294 \ubc29\ud5a5\uc744 \uae30\uc900\uc73c\ub85c \uc67c\ucabd\uc73c\ub85c 90\ub3c4 \ud68c\uc804\ud55c\ub2e4.<\/li>\r\n\t<li>R: \ub85c\ubd07\uc774 \ud5a5\ud558\uace0 \uc788\ub294 \ubc29\ud5a5\uc744 \uae30\uc900\uc73c\ub85c \uc624\ub978\ucabd\uc73c\ub85c 90\ub3c4 \ud68c\uc804\ud55c\ub2e4.<\/li>\r\n\t<li>F: \ub85c\ubd07\uc774 \ud5a5\ud558\uace0 \uc788\ub294 \ubc29\ud5a5\uc744 \uae30\uc900\uc73c\ub85c \uc55e\uc73c\ub85c \ud55c \uce78 \uc6c0\uc9c1\uc778\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uac04\ud639 \ub85c\ubd07\ub4e4\uc5d0\uac8c \ub0b4\ub9ac\ub294 \uba85\ub839\uc774 \uc798\ubabb\ub420 \uc218\ub3c4 \uc788\uae30 \ub54c\ubb38\uc5d0, \ub2f9\uc2e0\uc740 \ub85c\ubd07\ub4e4\uc5d0\uac8c \uba85\ub839\uc744 \ub0b4\ub9ac\uae30 \uc804\uc5d0 \ud55c \ubc88 \uc2dc\ubbac\ub808\uc774\uc158\uc744 \ud574 \ubcf4\uba74\uc11c \uc548\uc804\uc131\uc744 \uac80\uc99d\ud558\ub824 \ud55c\ub2e4. \uc774\ub97c \ub3c4\uc640\uc8fc\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc798\ubabb\ub41c \uba85\ub839\uc5d0\ub294 \ub2e4\uc74c\uc758 \ub450 \uac00\uc9c0\uac00 \uc788\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>Robot X crashes into the wall: X\ubc88 \ub85c\ubd07\uc774 \ubcbd\uc5d0 \ucda9\ub3cc\ud558\ub294 \uacbd\uc6b0\uc774\ub2e4. \uc989, \uc8fc\uc5b4\uc9c4 \ub545\uc758 \ubc16\uc73c\ub85c \ubc97\uc5b4\ub098\ub294 \uacbd\uc6b0\uac00 \ub41c\ub2e4.<\/li>\r\n\t<li>Robot X crashes into robot Y: X\ubc88 \ub85c\ubd07\uc774 \uc6c0\uc9c1\uc774\ub2e4\uac00 Y\ubc88 \ub85c\ubd07\uc5d0 \ucda9\ub3cc\ud558\ub294 \uacbd\uc6b0\uc774\ub2e4.<\/li>\r\n<\/ol>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub450 \uc815\uc218 A, B\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \ub450 \uc815\uc218 N, M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c N\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \ub85c\ubd07\uc758 \ucd08\uae30 \uc704\uce58(x, y\uc88c\ud45c \uc21c) \ubc0f \ubc29\ud5a5\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c M\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \uba85\ub839\uc774 \uba85\ub839\uc744 \ub0b4\ub9ac\ub294 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01\uac01\uc758 \uba85\ub839\uc740 \uba85\ub839\uc744 \ub0b4\ub9ac\ub294 \ub85c\ubd07, \uba85\ub839\uc758 \uc885\ub958(\uc704\uc5d0 \ub098\uc640 \uc788\ub294), \uba85\ub839\uc758 \ubc18\ubcf5 \ud68c\uc218\ub85c \ub098\ud0c0\ub0b8\ub2e4. \uac01 \uba85\ub839\uc758 \ubc18\ubcf5 \ud68c\uc218\ub294 1\uc774\uc0c1 100\uc774\ud558\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc2dc\ubbac\ub808\uc774\uc158 \uacb0\uacfc\ub97c \ucd9c\ub825\ud55c\ub2e4. \ubb38\uc81c\uac00 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 OK\ub97c, \uadf8 \uc678\uc758 \uacbd\uc6b0\uc5d0\ub294 \uc704\uc758 \ud615\uc2dd\ub300\ub85c \ucd9c\ub825\uc744 \ud55c\ub2e4. \ub9cc\uc57d \ucda9\ub3cc\uc774 \uc5ec\ub7ec \ubc88 \ubc1c\uc0dd\ud558\ub294 \uacbd\uc6b0\uc5d0\ub294 \uac00\uc7a5 \uba3c\uc800 \ubc1c\uc0dd\ud558\ub294 \ucda9\ub3cc\uc744 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2174","problem_lang":"1","title":"Crashing Robots","description":"<p>In a modernized warehouse, robots are used to fetch the goods. Careful planning is needed to ensure that the robots reach their destinations without crashing into each other. Of course, all warehouses are rectangular, and all robots occupy a circular floor space with a diameter of 1 meter. Assume there are N robots, numbered from 1 through N. You will get to know the position and orientation of each robot, and all the instructions, which are carefully (and mindlessly) followed by the robots. Instructions are processed in the order they come. No two robots move simultaneously; a robot always completes its move before the next one starts moving. A robot crashes with a wall if it attempts to move outside the area of the warehouse, and two robots crash with each other if they ever try to occupy the same spot.<\/p>\r\n","input":"<p>The first line of input is K, the number of test cases. Each test case starts with one line consisting of two integers, 1 &le; A, B &le; 100, giving the size of the warehouse in meters. A is the length in the EW-direction, and B in the NS-direction.<\/p>\r\n\r\n<p>The second line contains two integers, 1 &le; N, M &le; 100, denoting the numbers of robots and instructions respectively.<\/p>\r\n\r\n<p>Then follow N lines with two integers, 1 &le; Xi &le; A, 1 &le; Yi &le; B and one letter (N, S, E or W), giving the starting position and direction of each robot, in order from 1 through N. No two robots start at the same position.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/upload\/201008\/robot.PNG\" style=\"height:279px; opacity:0.9; width:516px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure 1: The starting positions of the robots in the sample warehouse<\/p>\r\n\r\n<p>Finally there are M lines, giving the instructions in sequential order. An instruction has the following format:<\/p>\r\n\r\n<pre>\r\n&lt;robot #&gt; &lt;action&gt; &lt;repeat&gt;<\/pre>\r\n\r\n<p>Where &lt;action&gt; is one of<\/p>\r\n\r\n<ul>\r\n\t<li>L: turn left 90 degrees,<\/li>\r\n\t<li>R: turn right 90 degrees, or<\/li>\r\n\t<li>F: move forward one meter,<\/li>\r\n<\/ul>\r\n\r\n<p>and 1 &le; &lt;repeat&gt; &le; 100 is the number of times the robot should perform this single move.<\/p>\r\n","output":"<p>Output one line for each test case:<\/p>\r\n\r\n<ul>\r\n\t<li>Robot i crashes into the wall, if robot i crashes into a wall. (A robot crashes into a wall if Xi = 0, Xi = A + 1, Yi = 0 or Yi = B + 1.)<\/li>\r\n\t<li>Robot i crashes into robot j, if robots i and j crash, and i is the moving robot.<\/li>\r\n\t<li>OK, if no crashing occurs.<\/li>\r\n<\/ul>\r\n\r\n<p>Only the \ufb01rst crash is to be reported.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Europe > Northwestern European Regional Contest > Nordic Collegiate Programming Contest > NCPC 2005 A번