시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB75613322442166141.025%

문제

'Dummy' 라는 도스게임이 있다. 이 게임에는 뱀이 나와서 기어다니는데, 사과를 먹으면 뱀 길이가 늘어난다. 뱀이 이리저리 기어다니다가 벽 또는 자기자신의 몸과 부딪히면 게임이 끝난다.

게임은 NxN 정사각 보드위에서 진행되고, 몇몇 칸에는 사과가 놓여져 있다. 보드의 상하좌우 끝에 벽이 있다. 게임이 시작할때 뱀은 맨위 맨좌측에 위치하고 뱀의 길이는 1 이다. 뱀은 처음에 오른쪽을 향한다.

뱀은 매 초마다 이동을 하는데 다음과 같은 규칙을 따른다.

  • 먼저 뱀은 몸길이를 늘려 머리를 다음칸에 위치시킨다.
  • 만약 벽이나 자기자신의 몸과 부딪히면 게임이 끝난다.
  • 만약 이동한 칸에 사과가 있다면, 그 칸에 있던 사과가 없어지고 꼬리는 움직이지 않는다.
  • 만약 이동한 칸에 사과가 없다면, 몸길이를 줄여서 꼬리가 위치한 칸을 비워준다. 즉, 몸길이는 변하지 않는다.

사과의 위치와 뱀의 이동경로가 주어질 때 이 게임이 몇 초에 끝나는지 계산하라.

입력

첫째 줄에 보드의 크기 N이 주어진다. (2 ≤ N ≤ 100) 다음 줄에 사과의 개수 K가 주어진다. (0 ≤ K ≤ 100)

다음 K개의 줄에는 사과의 위치가 주어지는데, 첫 번째 정수는 행, 두 번째 정수는 열 위치를 의미한다. 사과의 위치는 모두 다르며, 맨 위 맨 좌측 (1행 1열) 에는 사과가 없다.

다음 줄에는 뱀의 방향 변환 횟수 L 이 주어진다. (1 ≤ L ≤ 100)

다음 L개의 줄에는 뱀의 방향 변환 정보가 주어지는데, 정수 X와 문자 C로 이루어져 있으며. 게임 시작 시간으로부터 X초가 끝난 뒤에 왼쪽(C가 'L') 또는 오른쪽(C가 'D')로 90도 방향을 회전시킨다는 뜻이다. X는 10,000 이하의 양의 정수이며, 방향 전환 정보는 X가 증가하는 순으로 주어진다.

출력

첫째 줄에 게임이 몇 초에 끝나는지 출력한다.

예제 입력 1

6
3
3 4
2 5
5 3
3
3 D
15 L
17 D

예제 출력 1

9

예제 입력 2

10
4
1 2
1 3
1 4
1 5
4
8 D
10 D
11 D
13 L

예제 출력 2

21

예제 입력 3

10
5
1 5
1 3
1 2
1 6
1 7
4
8 D
10 D
11 D
13 L

예제 출력 3

13
[{"problem_id":"3190","problem_lang":"0","title":"\ubc40","description":"<p> &#39;Dummy&#39; \ub77c\ub294 \ub3c4\uc2a4\uac8c\uc784\uc774 \uc788\ub2e4. \uc774 \uac8c\uc784\uc5d0\ub294 \ubc40\uc774 \ub098\uc640\uc11c \uae30\uc5b4\ub2e4\ub2c8\ub294\ub370, \uc0ac\uacfc\ub97c \uba39\uc73c\uba74 \ubc40 \uae38\uc774\uac00 \ub298\uc5b4\ub09c\ub2e4. \ubc40\uc774 \uc774\ub9ac\uc800\ub9ac \uae30\uc5b4\ub2e4\ub2c8\ub2e4\uac00 \ubcbd \ub610\ub294 \uc790\uae30\uc790\uc2e0\uc758 \ubab8\uacfc \ubd80\ub52a\ud788\uba74 \uac8c\uc784\uc774 \ub05d\ub09c\ub2e4.<\/p>\r\n\r\n<p>\uac8c\uc784\uc740 NxN \uc815\uc0ac\uac01 \ubcf4\ub4dc\uc704\uc5d0\uc11c \uc9c4\ud589\ub418\uace0, \uba87\uba87 \uce78\uc5d0\ub294 \uc0ac\uacfc\uac00 \ub193\uc5ec\uc838 \uc788\ub2e4. \ubcf4\ub4dc\uc758 \uc0c1\ud558\uc88c\uc6b0 \ub05d\uc5d0 \ubcbd\uc774 \uc788\ub2e4. \uac8c\uc784\uc774 \uc2dc\uc791\ud560\ub54c \ubc40\uc740 \ub9e8\uc704 \ub9e8\uc88c\uce21\uc5d0 \uc704\uce58\ud558\uace0 \ubc40\uc758 \uae38\uc774\ub294 1 \uc774\ub2e4. \ubc40\uc740 \ucc98\uc74c\uc5d0 \uc624\ub978\ucabd\uc744 \ud5a5\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ubc40\uc740 \ub9e4 \ucd08\ub9c8\ub2e4 \uc774\ub3d9\uc744 \ud558\ub294\ub370 \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc744 \ub530\ub978\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uba3c\uc800 \ubc40\uc740 \ubab8\uae38\uc774\ub97c \ub298\ub824 \uba38\ub9ac\ub97c \ub2e4\uc74c\uce78\uc5d0 \uc704\uce58\uc2dc\ud0a8\ub2e4.<\/li>\r\n\t<li>\ub9cc\uc57d \ubcbd\uc774\ub098 \uc790\uae30\uc790\uc2e0\uc758 \ubab8\uacfc \ubd80\ub52a\ud788\uba74 \uac8c\uc784\uc774 \ub05d\ub09c\ub2e4.<\/li>\r\n\t<li>\ub9cc\uc57d \uc774\ub3d9\ud55c \uce78\uc5d0 \uc0ac\uacfc\uac00 \uc788\ub2e4\uba74, \uadf8 \uce78\uc5d0 \uc788\ub358 \uc0ac\uacfc\uac00 \uc5c6\uc5b4\uc9c0\uace0 \uaf2c\ub9ac\ub294 \uc6c0\uc9c1\uc774\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n\t<li>\ub9cc\uc57d \uc774\ub3d9\ud55c \uce78\uc5d0 \uc0ac\uacfc\uac00 \uc5c6\ub2e4\uba74, \ubab8\uae38\uc774\ub97c \uc904\uc5ec\uc11c \uaf2c\ub9ac\uac00 \uc704\uce58\ud55c \uce78\uc744 \ube44\uc6cc\uc900\ub2e4. \uc989, \ubab8\uae38\uc774\ub294 \ubcc0\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc0ac\uacfc\uc758 \uc704\uce58\uc640 \ubc40\uc758 \uc774\ub3d9\uacbd\ub85c\uac00 \uc8fc\uc5b4\uc9c8 \ub54c \uc774 \uac8c\uc784\uc774 \uba87 \ucd08\uc5d0 \ub05d\ub098\ub294\uc9c0 \uacc4\uc0b0\ud558\ub77c.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ubcf4\ub4dc\uc758 \ud06c\uae30 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N &le; 100) \ub2e4\uc74c \uc904\uc5d0 \uc0ac\uacfc\uc758 \uac1c\uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &le; K &le; 100)<\/p>\r\n\r\n<p>\ub2e4\uc74c K\uac1c\uc758 \uc904\uc5d0\ub294 \uc0ac\uacfc\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uccab \ubc88\uc9f8 \uc815\uc218\ub294 \ud589, \ub450 \ubc88\uc9f8 \uc815\uc218\ub294 \uc5f4 \uc704\uce58\ub97c \uc758\ubbf8\ud55c\ub2e4. \uc0ac\uacfc\uc758 \uc704\uce58\ub294 \ubaa8\ub450 \ub2e4\ub974\uba70, \ub9e8 \uc704 \ub9e8 \uc88c\uce21 (1\ud589 1\uc5f4) \uc5d0\ub294 \uc0ac\uacfc\uac00 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0\ub294 \ubc40\uc758 \ubc29\ud5a5 \ubcc0\ud658 \ud69f\uc218 L \uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; L &le; 100)<\/p>\r\n\r\n<p>\ub2e4\uc74c L\uac1c\uc758 \uc904\uc5d0\ub294 \ubc40\uc758 \ubc29\ud5a5 \ubcc0\ud658 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370,  \uc815\uc218 X\uc640 \ubb38\uc790 C\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70. \uac8c\uc784 \uc2dc\uc791 \uc2dc\uac04\uc73c\ub85c\ubd80\ud130 X\ucd08\uac00 \ub05d\ub09c \ub4a4\uc5d0 \uc67c\ucabd(C\uac00 &#39;L&#39;) \ub610\ub294 \uc624\ub978\ucabd(C\uac00 &#39;D&#39;)\ub85c 90\ub3c4 \ubc29\ud5a5\uc744 \ud68c\uc804\uc2dc\ud0a8\ub2e4\ub294 \ub73b\uc774\ub2e4. X\ub294 10,000 \uc774\ud558\uc758 \uc591\uc758 \uc815\uc218\uc774\uba70, \ubc29\ud5a5 \uc804\ud658 \uc815\ubcf4\ub294 X\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uac8c\uc784\uc774 \uba87 \ucd08\uc5d0 \ub05d\ub098\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3190","problem_lang":"1","title":"zmija","description":"<p>One of the most popular DOS games is &#39;Dummy&#39;. The snake is crawling through the board and eating apples that increase its length. The game ends when the snake bumps into itself or into the wall.&nbsp;<\/p>\r\n\r\n<p>Game board consists of NxN squares arranged in N rows and N columns, and some squares contain apples. Around the board there is a wall. At the beginning of the game, the snake is located in the top-left corner, its length is equal to 1 and its head is directed towards right.&nbsp;<\/p>\r\n\r\n<p>Snake is crawling by changing its position during each second according to the following rules:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>first, snake extends its length by spreading to the next square in front of the head (i.e. in the direction of the head),<\/li>\r\n\t<li>if there is an apple on that square, tail of the snake does not move (hence, its length is increased by 1 in this step),<\/li>\r\n\t<li>if there is no apple, last square of the tail is erased (hence, its length stays unchanged)&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Positions of the apples and movements of the snake are given. Write a program that will calculate the number of seconds until the game ends.&nbsp;<\/p>\r\n","input":"<p>First line of input contains an integer N, 2 &le; N &le; 100.&nbsp;<\/p>\r\n\r\n<p>Following line contains an integer K, 0 &le; K &le; 100, the number of apples on the board.&nbsp;<\/p>\r\n\r\n<p>Following K lines contain coordinates of apples on the board. First number denotes the row and second number denotes the column of the board where the apple is situated. There will be no apple at the top-left corner of the board.&nbsp;<\/p>\r\n\r\n<p>Following line contains an integer number L, 1 &le; L &le; 100, the number of times the snake makes a turn.&nbsp;<\/p>\r\n\r\n<p>Each of the following L lines contains the description of one turn. A single turn is described by a number X (positive integer less than or equal to 10,000) and a character C. This means that the snake rotates its head 90 degrees left (if C is &#39;L&#39;) or right (if C is &#39;D&#39;) at the end of the Xth second&nbsp;<\/p>\r\n","output":"<p>First and only line of output should contain number of seconds from the problem statement.&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Croatian Highschool Competitions in Informatics > 2005 > National Competition #1 - Juniors 2번