시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB499833.333%

문제

알라딘은 궁전에서 지루한 삶에 싫증을 느꼈다. 항상 변함없이 똑같은 일과 부인 자스민과 아이들은 알라딘에게 더 이상 큰 흥미를 가져다주지 못했다. 그는, 더 이상 궁전에서 지루한 삶을 살 수 없다고 생각했고 모험을 떠나기로 했다.

알라딘이 살고있는 나라에는 요정이 나타나는 램프가 묻혀있다는 전설이 있다. 이 램프는 지금까지 그 누구도 찾지 못했던 램프이다. 알라딘은 이 램프를 찾기로 했다.

예로부터 내려오는 전설에 의하면 램프는 사막에 묻혀있다. 사막은 N*N 칸이 그리드형태로 배열되어 있는 모습으로 나타낼 수 있다. 행과 열은 위에서 부터 아래로, 왼쪽부터 오른쪽으로 1번부터 N번까지 번호가 매겨져 있다. 어떤 칸에는 마법사가 살고 있고, 마법사는 알라딘에게 가야할 방향을 알려준다.

알라딘은 사막의 가장 왼쪽 위 칸에서 모험을 시작한다. 이 날은 월요일이며, 알라딘은 오른쪽을 보고 있다. 알라딘은 아래 세 단계를 거쳐서 다음 칸으로 이동하게 된다.

  1. 알라딘이 있는 칸에 마법사가 깨어있다면, 알라딘은 마법사가 말해주는 방향으로 방향을 바꾼다. 이때, 마법사가 말하는 방향은 90도 왼쪽 방향과 오른족 방향 둘 중 하나이다.
  2. 알라딘이 한 칸 전진했을 때, 사막읙 경계를 벗어난다면, 그는 180도 방향을 바꾼다.
  3. 알라딘은 한 칸 전진하고, 이것은 정확하게 하루가 걸린다. (1, 2단계에 걸리는 시간은 없다)

모든 마법사가 말해주는 방향은 요일에 따라서 다르고, 길이가 7인 문자열로 나타낼 수 있다. 문자열은 'L', 'R', 'S'로 이루어져 있으며, 각 문자는 어떤 요일에 무슨 방향을 말해주는지를 나타낸다. 첫 번째 문자는 월요일, 두 번째 문자는 화요일, ... 이며, 'L'은 왼쪽으로, 'R'은 오른쪽으로 방향을 바꾸라는 의미이다. 'S'는 그 날은 마법사가 잠을 잔다는 뜻이다.

알라딘은 모험을 떠나기전에 유명한 예언가는 알라딘이 방향을 K번 바꾼다면 (1단계와 2단계) 램프를 발견한다고 말했다. 이 예언대로라면 알라딘은 며칠 만에 램프를 발견하는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 사막의 크기 N과 예언가의 예언 K가 주어진다. (2 ≤ N ≤ 200, 1 ≤ K ≤ 1,000,000,000)

둘째 줄에는 마법사의 수 M이 주어진다. (0 ≤ M ≤ 10000)

다음 M개 줄에는 마법사의 위치 R, C와 스케쥴을 나타내는 문자열이 주어진다. R은 마법사가 있는 행의 번호, C는 열의 번호이다.

한 칸에 두 명 이상의 마법사가 있는 경우는 없으며, 항상 (1, 1)에는 마법사가 없다.

출력

첫째 줄에 램프를 발견하는데 총 며칠이 걸리는지 출력한다.

예제 입력 1

3 1
0

예제 출력 1

2

예제 입력 2

5 2
2
1 3 RRSRRRR
1 5 RRRRLRR

예제 출력 2

4

예제 입력 3

5 5
3
1 3 SSRSSSS
3 3 SSSLSSS
4 3 SSRSSLS

예제 출력 3

10
[{"problem_id":"2946","problem_lang":"0","title":"\uc54c\ub77c\ub518\uacfc \ub7a8\ud504","description":"<p>\uc54c\ub77c\ub518\uc740 \uad81\uc804\uc5d0\uc11c \uc9c0\ub8e8\ud55c \uc0b6\uc5d0 \uc2eb\uc99d\uc744 \ub290\uaf08\ub2e4. \ud56d\uc0c1 \ubcc0\ud568\uc5c6\uc774 \ub611\uac19\uc740 \uc77c\uacfc \ubd80\uc778 \uc790\uc2a4\ubbfc\uacfc \uc544\uc774\ub4e4\uc740 \uc54c\ub77c\ub518\uc5d0\uac8c \ub354 \uc774\uc0c1 \ud070 \ud765\ubbf8\ub97c \uac00\uc838\ub2e4\uc8fc\uc9c0 \ubabb\ud588\ub2e4. \uadf8\ub294, \ub354 \uc774\uc0c1 \uad81\uc804\uc5d0\uc11c \uc9c0\ub8e8\ud55c \uc0b6\uc744 \uc0b4 \uc218 \uc5c6\ub2e4\uace0 \uc0dd\uac01\ud588\uace0 \ubaa8\ud5d8\uc744 \ub5a0\ub098\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc54c\ub77c\ub518\uc774 \uc0b4\uace0\uc788\ub294 \ub098\ub77c\uc5d0\ub294 \uc694\uc815\uc774 \ub098\ud0c0\ub098\ub294 \ub7a8\ud504\uac00 \ubb3b\ud600\uc788\ub2e4\ub294 \uc804\uc124\uc774 \uc788\ub2e4. \uc774 \ub7a8\ud504\ub294 \uc9c0\uae08\uae4c\uc9c0 \uadf8 \ub204\uad6c\ub3c4 \ucc3e\uc9c0 \ubabb\ud588\ub358 \ub7a8\ud504\uc774\ub2e4. \uc54c\ub77c\ub518\uc740 \uc774 \ub7a8\ud504\ub97c \ucc3e\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub85c\ubd80\ud130 \ub0b4\ub824\uc624\ub294 \uc804\uc124\uc5d0 \uc758\ud558\uba74 \ub7a8\ud504\ub294 \uc0ac\ub9c9\uc5d0 \ubb3b\ud600\uc788\ub2e4. \uc0ac\ub9c9\uc740 N*N \uce78\uc774 \uadf8\ub9ac\ub4dc\ud615\ud0dc\ub85c \ubc30\uc5f4\ub418\uc5b4 \uc788\ub294 \ubaa8\uc2b5\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \ud589\uacfc \uc5f4\uc740 \uc704\uc5d0\uc11c \ubd80\ud130 \uc544\ub798\ub85c, \uc67c\ucabd\ubd80\ud130 \uc624\ub978\ucabd\uc73c\ub85c 1\ubc88\ubd80\ud130 N\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \uc5b4\ub5a4 \uce78\uc5d0\ub294 \ub9c8\ubc95\uc0ac\uac00 \uc0b4\uace0 \uc788\uace0, \ub9c8\ubc95\uc0ac\ub294 \uc54c\ub77c\ub518\uc5d0\uac8c \uac00\uc57c\ud560 \ubc29\ud5a5\uc744 \uc54c\ub824\uc900\ub2e4.<\/p>\r\n\r\n<p>\uc54c\ub77c\ub518\uc740 \uc0ac\ub9c9\uc758 \uac00\uc7a5 \uc67c\ucabd \uc704 \uce78\uc5d0\uc11c \ubaa8\ud5d8\uc744 \uc2dc\uc791\ud55c\ub2e4. \uc774 \ub0a0\uc740 \uc6d4\uc694\uc77c\uc774\uba70, \uc54c\ub77c\ub518\uc740 \uc624\ub978\ucabd\uc744 \ubcf4\uace0 \uc788\ub2e4. \uc54c\ub77c\ub518\uc740 \uc544\ub798 \uc138 \ub2e8\uacc4\ub97c \uac70\uccd0\uc11c \ub2e4\uc74c \uce78\uc73c\ub85c \uc774\ub3d9\ud558\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\uc54c\ub77c\ub518\uc774 \uc788\ub294 \uce78\uc5d0 \ub9c8\ubc95\uc0ac\uac00 \uae68\uc5b4\uc788\ub2e4\uba74, \uc54c\ub77c\ub518\uc740 \ub9c8\ubc95\uc0ac\uac00 \ub9d0\ud574\uc8fc\ub294 \ubc29\ud5a5\uc73c\ub85c \ubc29\ud5a5\uc744 \ubc14\uafbc\ub2e4. \uc774\ub54c, \ub9c8\ubc95\uc0ac\uac00 \ub9d0\ud558\ub294 \ubc29\ud5a5\uc740 90\ub3c4 \uc67c\ucabd \ubc29\ud5a5\uacfc \uc624\ub978\uc871 \ubc29\ud5a5 \ub458 \uc911 \ud558\ub098\uc774\ub2e4.<\/li>\r\n\t<li>\uc54c\ub77c\ub518\uc774 \ud55c \uce78 \uc804\uc9c4\ud588\uc744 \ub54c, \uc0ac\ub9c9\uc759 \uacbd\uacc4\ub97c \ubc97\uc5b4\ub09c\ub2e4\uba74, \uadf8\ub294 180\ub3c4 \ubc29\ud5a5\uc744 \ubc14\uafbc\ub2e4.<\/li>\r\n\t<li>\uc54c\ub77c\ub518\uc740 \ud55c \uce78 \uc804\uc9c4\ud558\uace0, \uc774\uac83\uc740 \uc815\ud655\ud558\uac8c \ud558\ub8e8\uac00 \uac78\ub9b0\ub2e4. (1, 2\ub2e8\uacc4\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 \uc5c6\ub2e4)<\/li>\r\n<\/ol>\r\n\r\n<p>\ubaa8\ub4e0 \ub9c8\ubc95\uc0ac\uac00 \ub9d0\ud574\uc8fc\ub294 \ubc29\ud5a5\uc740 \uc694\uc77c\uc5d0 \ub530\ub77c\uc11c \ub2e4\ub974\uace0, \uae38\uc774\uac00 7\uc778 \ubb38\uc790\uc5f4\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \ubb38\uc790\uc5f4\uc740 &#39;L&#39;, &#39;R&#39;, &#39;S&#39;\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uac01 \ubb38\uc790\ub294 \uc5b4\ub5a4 \uc694\uc77c\uc5d0 \ubb34\uc2a8 \ubc29\ud5a5\uc744 \ub9d0\ud574\uc8fc\ub294\uc9c0\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uccab \ubc88\uc9f8 \ubb38\uc790\ub294 \uc6d4\uc694\uc77c, \ub450 \ubc88\uc9f8 \ubb38\uc790\ub294 \ud654\uc694\uc77c, ... \uc774\uba70, &#39;L&#39;\uc740 \uc67c\ucabd\uc73c\ub85c, &#39;R&#39;\uc740 \uc624\ub978\ucabd\uc73c\ub85c \ubc29\ud5a5\uc744 \ubc14\uafb8\ub77c\ub294 \uc758\ubbf8\uc774\ub2e4. &#39;S&#39;\ub294 \uadf8 \ub0a0\uc740 \ub9c8\ubc95\uc0ac\uac00 \uc7a0\uc744 \uc794\ub2e4\ub294 \ub73b\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc54c\ub77c\ub518\uc740 \ubaa8\ud5d8\uc744 \ub5a0\ub098\uae30\uc804\uc5d0 \uc720\uba85\ud55c \uc608\uc5b8\uac00\ub294 \uc54c\ub77c\ub518\uc774 \ubc29\ud5a5\uc744 K\ubc88 \ubc14\uafbc\ub2e4\uba74 (1\ub2e8\uacc4\uc640 2\ub2e8\uacc4) \ub7a8\ud504\ub97c \ubc1c\uacac\ud55c\ub2e4\uace0 \ub9d0\ud588\ub2e4. \uc774 \uc608\uc5b8\ub300\ub85c\ub77c\uba74 \uc54c\ub77c\ub518\uc740 \uba70\uce60 \ub9cc\uc5d0 \ub7a8\ud504\ub97c \ubc1c\uacac\ud558\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0ac\ub9c9\uc758 \ud06c\uae30 N\uacfc \uc608\uc5b8\uac00\uc758 \uc608\uc5b8 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N &le; 200, 1 &le; K &le; 1,000,000,000)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0\ub294 \ub9c8\ubc95\uc0ac\uc758 \uc218 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &le; M &le; 10000)<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 \ub9c8\ubc95\uc0ac\uc758 \uc704\uce58 R, C\uc640 \uc2a4\ucf00\uc974\uc744 \ub098\ud0c0\ub0b4\ub294 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. R\uc740 \ub9c8\ubc95\uc0ac\uac00 \uc788\ub294 \ud589\uc758 \ubc88\ud638, C\ub294 \uc5f4\uc758 \ubc88\ud638\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud55c \uce78\uc5d0 \ub450 \uba85 \uc774\uc0c1\uc758 \ub9c8\ubc95\uc0ac\uac00 \uc788\ub294 \uacbd\uc6b0\ub294 \uc5c6\uc73c\uba70, \ud56d\uc0c1 (1, 1)\uc5d0\ub294 \ub9c8\ubc95\uc0ac\uac00 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \ub7a8\ud504\ub97c \ubc1c\uacac\ud558\ub294\ub370 \ucd1d \uba70\uce60\uc774 \uac78\ub9ac\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2946","problem_lang":"1","title":"KRUSKA","description":"<p>Aladdin has become bored of life at the palace. He has a steady job, his wife Jasmine, kids are on theway and life is becoming monotonous. Prompted by all this, he has decided to have one more adventure before settling down.&nbsp;<\/p>\r\n\r\n<p>He has decided to find the Golden Pear, an extremely valuable legendary artifact that no one has been able to find.&nbsp;<\/p>\r\n\r\n<p>The desert Aladdin is searching is can be modeled as an N&times;N grid of cells. Rows and columns are numbered 1 through N top to bottom and left to right. Some of the cells in the desert contain wizards that help Aladdin&#39;s quest in an unusual way.&nbsp;<\/p>\r\n\r\n<p>Aladdin starts his quest in the top left corner of the desert on a Monday facing right. His movement involves repeating these steps:&nbsp;<\/p>\r\n\r\n<ol>\r\n\t<li>If the current cell contains a wizard that is awake, then Aladdin turns 90 degrees left or right, depending on what the wizard says.&nbsp;<\/li>\r\n\t<li>If moving forward would take Aladdin out of desert, he turns 180 degrees.&nbsp;<\/li>\r\n\t<li>Aladdin moves forward one cell and it takes him exactly one day.&nbsp;<\/li>\r\n<\/ol>\r\n\r\n<p>For each wizard we know his location and his activity schedule for each day of the week. The schedule is a string of exactly seven letters &#39;L&#39;, &#39;R&#39; or &#39;S&#39;, each character telling us what the wizard does on one day of the week (starting with Monday). The letter &#39;L&#39; means that Aladdin will be told to turn left, &#39;R&#39; that Aladdin will be told to turn right, while &#39;S&#39; means the wizard sleeps that day.&nbsp;<\/p>\r\n\r\n<p>An old prophecy says that after K changes in direction (in steps 1 and\/or 2) Aladdin will find the Pear. Write a program that calculates how many days the search will last, according to the ancient prophecy.<\/p>\r\n","input":"<p>The first line contains two integers N and K (2 &le; N &le; 200, 1 &le; K &le; 1 000 000 000), the size of the desert and the number of direction changes in the prophecy.&nbsp;<\/p>\r\n\r\n<p>The second line contains an integer M (0 &le; M &le; 10000), the number of wizards.&nbsp;<\/p>\r\n\r\n<p>Each of the following M lines contains two integers R and C (1 &le; R, C &le; N), and a string of seven letters &#39;L&#39;, &#39;R&#39; or &#39;S&#39;. The numbers represent the row and column where the wizard is located, while the string is his schedule.&nbsp;<\/p>\r\n\r\n<p>No two wizards will share the same cell, nor will there be a wizard in cell (1, 1).<\/p>\r\n","output":"<p>Output the length of the search in days.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"<p>In the first example, Aladdin moves twice, reaching the edge of the desert. He then turns 180 degrees and finds the Pear.<\/p>\r\n\r\n<p>In the second example, Aladdin reaches the first wizard on the third day, but the wizard is sleeping so Aladdin continues in the same direction. After two more days he reaches the other wizard who tells him to turn left. Aladdin does so, reaches the edge of the desert, turns back and finds the pair.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2008/2009 > Contest #5 6번