시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

화물차가 출발지 창고에서 짐을 싣고 배송지 창고까지 짐을 운반하려고 한다. 이 도시의 도로망을 나타낸 지도의 예는 다음과 같다.

#A##0##1#
.#..#..#.
.#..#..#.
.###2#.B.

도로망에서 차들은 동, 서, 남, 북의 방향으로만 이동할 수 있고, 지도의 각 문자는 다음과 같은 의미를 가진다.

  • 'A'는 출발지 창고를 나타내고, 지도에서 유일하다.
  • 'B'는 배송지 창고를 나타내고, 지도에서 유일하다.
  • '.'은 차가 들어갈 수 없는 곳을 나타낸다.
  • '#'은 각 도로 셀을 나타낸다. '#'은 기껏해야 두 개의 다른 도로 셀, 또는 교차로, 창고와 인접하다.
  • 숫자 [0-9]는 신호등에 의해 제어되는 교차로를 나타낸다. 교차로는 적어도 세 개의 도로 셀과 인접하다. 교차로들은 0부터 9까지의 번호로 표시된다. 만일 번호 k를 가진 교차로가 있으면, 반드시 0부터 k까지 번호를 가진 교차로가 존재한다. 교차로의 신호등에 대한 설명은 아래에 나온다.

차량의 이동은 다음과 같은 방식으로 분석된다.

  • 화물차가 인접한 도로 셀, 또는 교차로, 창고로 이동하는 데 걸리는 시간을 단위 시간이라고 가정한다. 차량이 어떤 위치에서 멈춰 서 있는 시간도 단위 시간으로 측정된다.
  • 화물차가 진입하려는 방향으로 파란불이 켜져 있을 때만 교차로로 들어갈 수 있다. 그러나 교차로에 들어간 차량은 언제든지 임의의 방향으로 나갈 수 있다.
  • 교차로의 신호등은 동서 방향과 남북 방향, 두 개의 신호가 주기적으로 켜진다. 교차로의 신호는 초기에 동서 방향 또는 남북 방향이 될 수 있다. 교차로의 신호 주기를 나타내는 값 "a b"는 동서 방향의 신호가 a 시간 켜지고, 남북 방향의 신호가 b 시간 켜짐을 의미한다. 예를 들어, 초기에 남북 방향의 신호가 켜지고 주기 값이 "2 3"이면, 차량이 1-3 시간에 남북 방향의 신호가 켜지고, 4-5 시간은 동서 방향, 6-8 시간은 다시 남북 방향의 신호가 켜진다.
  • 출발지 창고에서 배송지 창고까지 최단 경로를 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 구성된다. 각 테스트 케이스의 첫째 줄에는 두 개의 정수 m과 n이 주어진다, 여기서 m은 지도를 나타내는 행렬의 행의 크기이고 n은 열의 크기이다(2 ≤ m, n ≤ 20).

그 다음 m개의 줄에는 각 줄마다 n개의 문자가 주어진다. 각 문자는 지도를 구성하는 문자인 '#', '.', 'A', 'B', [0-9]로 구성된다.

그 다음 줄부터는 각 교차로에 대한 정보가 주어진다. 교차로 번호가 0인 것부터 오름차순으로 한 줄에 하나씩 주어진다. 각 줄에는 교차로 번호 i와 '-' 또는 '|', 그 다음으로 두 개의 정수 ai와 bi (1 ≤ ai, bi ≤ 20) 가 빈칸을 사이에 두고 주어진다, 여기서 '-'는 신호등이 초기에 동서 방향의 신호가 켜짐을 나타내고, '|'는 남북 방향의 신호가 켜짐을 나타낸다. ai와 bi는 각각 동서 방향 신호가 켜 있는 시간과 남북 방향 신호가 켜 있는 시간을 나타낸다.

각 테스트 케이스 사이에는 빈 줄 하나가 들어 있고, 두 개의 0으로 시작되는 테스트 케이스는 입력의 끝을 나타낸다. 테스트 케이스는 20개를 넘지 않는다고 가정해도 된다.
 

출력

각 테스트 케이스에 대해, 한 줄에 한 개의 정수를 출력한다. 이 정수는 출발지 창고에서 배송지 창고까지 차량으로 이동하는 데 걸리는 최소 시간이다. 만일 차량이 배송지 창고까지 도달할 수 없으면 "impossible"을 출력한다.
 

예제 입력 1

3 4
A##B
#..#
####

4 9
#A##0##1#
.#..#..#.
.#..#..#.
.###2#.B.
0 - 1 17
1 | 3 5
2 - 2 4

2 2
A.
.B

0 0 

예제 출력 1

3
17
impossible
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\ucc3d\uace0\ub97c \ub098\ud0c0\ub0b4\uace0, \uc9c0\ub3c4\uc5d0\uc11c \uc720\uc77c\ud558\ub2e4.<\/li>\r\n<li>&#39;.&#39;\uc740 \ucc28\uac00 \ub4e4\uc5b4\uac08 \uc218 \uc5c6\ub294 \uacf3\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/li>\r\n<li>&#39;#&#39;\uc740 \uac01 \ub3c4\ub85c \uc140\uc744 \ub098\ud0c0\ub0b8\ub2e4. &#39;#&#39;\uc740 \uae30\uaecf\ud574\uc57c \ub450 \uac1c\uc758 \ub2e4\ub978 \ub3c4\ub85c \uc140, \ub610\ub294 \uad50\ucc28\ub85c, \ucc3d\uace0\uc640 \uc778\uc811\ud558\ub2e4.<\/li>\r\n<li>\uc22b\uc790 [0-9]\ub294 \uc2e0\ud638\ub4f1\uc5d0 \uc758\ud574 \uc81c\uc5b4\ub418\ub294 \uad50\ucc28\ub85c\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uad50\ucc28\ub85c\ub294 \uc801\uc5b4\ub3c4 \uc138 \uac1c\uc758 \ub3c4\ub85c \uc140\uacfc \uc778\uc811\ud558\ub2e4. \uad50\ucc28\ub85c\ub4e4\uc740 0\ubd80\ud130 9\uae4c\uc9c0\uc758 \ubc88\ud638\ub85c \ud45c\uc2dc\ub41c\ub2e4. \ub9cc\uc77c \ubc88\ud638 k\ub97c \uac00\uc9c4 \uad50\ucc28\ub85c\uac00 \uc788\uc73c\uba74, \ubc18\ub4dc\uc2dc 0\ubd80\ud130 k\uae4c\uc9c0 \ubc88\ud638\ub97c \uac00\uc9c4 \uad50\ucc28\ub85c\uac00 \uc874\uc7ac\ud55c\ub2e4. \uad50\ucc28\ub85c\uc758 \uc2e0\ud638\ub4f1\uc5d0 \ub300\ud55c \uc124\uba85\uc740 \uc544\ub798\uc5d0 \ub098\uc628\ub2e4.<\/li>\r\n<\/ul>\r\n<p>\ucc28\ub7c9\uc758 \uc774\ub3d9\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c \ubd84\uc11d\ub41c\ub2e4.<\/p>\r\n<ul>\r\n<li>\ud654\ubb3c\ucc28\uac00 \uc778\uc811\ud55c \ub3c4\ub85c \uc140, \ub610\ub294 \uad50\ucc28\ub85c, \ucc3d\uace0\ub85c \uc774\ub3d9\ud558\ub294 \ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc744 \ub2e8\uc704 \uc2dc\uac04\uc774\ub77c\uace0 \uac00\uc815\ud55c\ub2e4. \ucc28\ub7c9\uc774 \uc5b4\ub5a4 \uc704\uce58\uc5d0\uc11c \uba48\ucdb0 \uc11c \uc788\ub294 \uc2dc\uac04\ub3c4 \ub2e8\uc704 \uc2dc\uac04\uc73c\ub85c \uce21\uc815\ub41c\ub2e4.<\/li>\r\n\r\n<li>\ud654\ubb3c\ucc28\uac00 \uc9c4\uc785\ud558\ub824\ub294 \ubc29\ud5a5\uc73c\ub85c \ud30c\ub780\ubd88\uc774 \ucf1c\uc838 \uc788\uc744 \ub54c\ub9cc \uad50\ucc28\ub85c\ub85c \ub4e4\uc5b4\uac08 \uc218 \uc788\ub2e4. \uadf8\ub7ec\ub098 \uad50\ucc28\ub85c\uc5d0 \ub4e4\uc5b4\uac04 \ucc28\ub7c9\uc740 \uc5b8\uc81c\ub4e0\uc9c0 \uc784\uc758\uc758 \ubc29\ud5a5\uc73c\ub85c \ub098\uac08 \uc218 \uc788\ub2e4.<\/li>\r\n<li>\uad50\ucc28\ub85c\uc758 \uc2e0\ud638\ub4f1\uc740 \ub3d9\uc11c \ubc29\ud5a5\uacfc \ub0a8\ubd81 \ubc29\ud5a5, \ub450 \uac1c\uc758 \uc2e0\ud638\uac00 \uc8fc\uae30\uc801\uc73c\ub85c \ucf1c\uc9c4\ub2e4. \uad50\ucc28\ub85c\uc758 \uc2e0\ud638\ub294 \ucd08\uae30\uc5d0 \ub3d9\uc11c \ubc29\ud5a5 \ub610\ub294 \ub0a8\ubd81 \ubc29\ud5a5\uc774 \ub420 \uc218 \uc788\ub2e4. \uad50\ucc28\ub85c\uc758 \uc2e0\ud638 \uc8fc\uae30\ub97c \ub098\ud0c0\ub0b4\ub294 \uac12 &quot;a b&quot;\ub294 \ub3d9\uc11c \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 a \uc2dc\uac04 \ucf1c\uc9c0\uace0, \ub0a8\ubd81 \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 b \uc2dc\uac04 \ucf1c\uc9d0\uc744 \uc758\ubbf8\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \ucd08\uae30\uc5d0 \ub0a8\ubd81 \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 \ucf1c\uc9c0\uace0 \uc8fc\uae30 \uac12\uc774 &quot;2 3&quot;\uc774\uba74, \ucc28\ub7c9\uc774 1-3 \uc2dc\uac04\uc5d0 \ub0a8\ubd81 \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 \ucf1c\uc9c0\uace0, 4-5 \uc2dc\uac04\uc740 \ub3d9\uc11c \ubc29\ud5a5, 6-8 \uc2dc\uac04\uc740 \ub2e4\uc2dc \ub0a8\ubd81 \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 \ucf1c\uc9c4\ub2e4.<\/li>\r\n\r\n<p>\ucd9c\ubc1c\uc9c0 \ucc3d\uace0\uc5d0\uc11c \ubc30\uc1a1\uc9c0 \ucc3d\uace0\uae4c\uc9c0 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uad6c\uc131\ub41c\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ub450 \uac1c\uc758 \uc815\uc218 m\uacfc n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4, \uc5ec\uae30\uc11c m\uc740 \uc9c0\ub3c4\ub97c \ub098\ud0c0\ub0b4\ub294 \ud589\ub82c\uc758 \ud589\uc758 \ud06c\uae30\uc774\uace0 n\uc740 \uc5f4\uc758 \ud06c\uae30\uc774\ub2e4(2 &le; m, n &le; 20).<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c m\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \uc904\ub9c8\ub2e4 n\uac1c\uc758 \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ubb38\uc790\ub294 \uc9c0\ub3c4\ub97c \uad6c\uc131\ud558\ub294 \ubb38\uc790\uc778 &#39;#&#39;, &#39;.&#39;, &#39;A&#39;, &#39;B&#39;, [0-9]\ub85c \uad6c\uc131\ub41c\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c \uc904\ubd80\ud130\ub294 \uac01 \uad50\ucc28\ub85c\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uad50\ucc28\ub85c \ubc88\ud638\uac00 0\uc778 \uac83\ubd80\ud130 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\uc5d0\ub294 \uad50\ucc28\ub85c \ubc88\ud638 i\uc640 &#39;-&#39; \ub610\ub294 &#39;|&#39;, \uadf8 \ub2e4\uc74c\uc73c\ub85c \ub450 \uac1c\uc758 \uc815\uc218 ai\uc640 bi (1 &le; ai, bi &le; 20) \uac00 \ube48\uce78\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \uc8fc\uc5b4\uc9c4\ub2e4, \uc5ec\uae30\uc11c &#39;-&#39;\ub294 \uc2e0\ud638\ub4f1\uc774 \ucd08\uae30\uc5d0 \ub3d9\uc11c \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 \ucf1c\uc9d0\uc744 \ub098\ud0c0\ub0b4\uace0, &#39;|&#39;\ub294 \ub0a8\ubd81 \ubc29\ud5a5\uc758 \uc2e0\ud638\uac00 \ucf1c\uc9d0\uc744 \ub098\ud0c0\ub0b8\ub2e4. ai\uc640 bi\ub294 \uac01\uac01 \ub3d9\uc11c \ubc29\ud5a5 \uc2e0\ud638\uac00 \ucf1c \uc788\ub294 \uc2dc\uac04\uacfc \ub0a8\ubd81 \ubc29\ud5a5 \uc2e0\ud638\uac00 \ucf1c \uc788\ub294 \uc2dc\uac04\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \uc0ac\uc774\uc5d0\ub294 \ube48 \uc904 \ud558\ub098\uac00 \ub4e4\uc5b4 \uc788\uace0, \ub450 \uac1c\uc758 0\uc73c\ub85c \uc2dc\uc791\ub418\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \uc785\ub825\uc758 \ub05d\uc744 \ub098\ud0c0\ub0b8\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 20\uac1c\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4\uace0 \uac00\uc815\ud574\ub3c4 \ub41c\ub2e4.<br \/>\r\n&nbsp;<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \ud55c \uc904\uc5d0 \ud55c \uac1c\uc758 \uc815\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc774 \uc815\uc218\ub294 \ucd9c\ubc1c\uc9c0 \ucc3d\uace0\uc5d0\uc11c \ubc30\uc1a1\uc9c0 \ucc3d\uace0\uae4c\uc9c0 \ucc28\ub7c9\uc73c\ub85c \uc774\ub3d9\ud558\ub294 \ub370 \uac78\ub9ac\ub294 \ucd5c\uc18c \uc2dc\uac04\uc774\ub2e4. \ub9cc\uc77c \ucc28\ub7c9\uc774 \ubc30\uc1a1\uc9c0 \ucc3d\uace0\uae4c\uc9c0 \ub3c4\ub2ec\ud560 \uc218 \uc5c6\uc73c\uba74 &quot;impossible&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4.<br \/>\r\n&nbsp;<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"1400","problem_lang":"1","title":"Cargo Carriage","description":"<p>A seemingly straightforward task such as driving cargo from point A to point B can sometimes be very tricky! GPS systems can be very helpful for \ufb01nding routes, but usually don&rsquo;t take all things into consideration. For instance, when \ufb01nding the quickest route, do they consider waiting at tra\ufb03c lights? What about congestion? Maybe you can write superior software?<\/p>\r\n\r\n<p>In this problem, you will be given a street map containing roads, numbered intersections (with tra\ufb03c lights), and two warehouses. Your task is to \ufb01nd the fastest route to drive a truck from warehouse A to warehouse B.<\/p>\r\n\r\n<p>Street maps are always drawn on a grid, and look like this:<\/p>\r\n\r\n<pre>\r\n#A##0##1#\r\n.#..#..#.\r\n.#..#..#.\r\n.###2#.B.<\/pre>\r\n\r\n<p>Figure 2: A street map with warehouses, roads, and intersections.<\/p>\r\n\r\n<p><br \/>\r\nAdjacency on this map is de\ufb01ned as neighboring north, south, east, or west. The only symbols that appear on the map are the following:<\/p>\r\n\r\n<ul>\r\n\t<li>A # character indicates a road cell that trucks can drive on. Roads are adjacent to at most two other road, intersection, or warehouse cells.<\/li>\r\n\t<li>A single number [0-9] marks an intersection controlled by a tra\ufb03c light. Intersections are adjacent to at least three road cells. Intersections are uniquely numbered sequentially: no number will appear unless all nonnegative integers less than it also appear on the map. The behavior of tra\ufb03c lights will be described below.<\/li>\r\n\t<li>Exactly one character A marks the location of the warehouse where your trucks start.<\/li>\r\n\t<li>Exactly one character B marks the location of the warehouse where you&rsquo;d like to ship your cargo to.<\/li>\r\n\t<li>A . character is just grass. You cannot drive on these.<\/li>\r\n<\/ul>\r\n\r\n<p>You have one cargo truck that starts at warehouse A, and you are trying to drive it to warehouse B according to the rules below. For simplicity, we can also discretize time into atomic units, or turns.<\/p>\r\n\r\n<ul>\r\n\t<li>On a single turn, you may move the truck onto an adjacent road, intersection, or warehouse cell, or simply remain in the same cell.<\/li>\r\n\t<li>A truck may only move into an intersection cell if the tra\ufb03c light for the intersection is green in the direction the truck is entering from during that turn. However, a truck on an intersection cell can exit in any direction at any time.<\/li>\r\n<\/ul>\r\n\r\n<p>Intersections with tra\ufb03c lights periodically allow either east-west or north-south tra\ufb03c \ufb02ow, but not both at the same time. They are described by an initial direction and two numbers indicating the east-west and north-south periods, respectively. For example, an intersection initially green on the north-south direction described by &ldquo;2 3&rdquo; will have a green light facing north and south on turns 1-3 inclusive, facing east and west on turns 4-5, and again north and south on turns 6-8, etc.<\/p>\r\n","input":"<p>The input test \ufb01le will contain multiple cases. Each test case begins with a single line containing two integers, m and n, separated by spaces. The street map consists of m rows (east-west) and n columns (north-south) of grid cells (2 &le; m,n &le; 20).<\/p>\r\n\r\n<p>The next m lines contain n characters each, which describe the map using the symbols de\ufb01ned in the problem statement above. For each numbered intersection that appears in the map, in ascending order beginning with 0, there will be a line of text with the intersection number followed by either a &lsquo;-&rsquo; or &lsquo;|&rsquo; character and two integers, a<sub>i<\/sub> and b<sub>i<\/sub> (1 &le; a<sub>i<\/sub> ,b<sub>i<\/sub> &le; 100), the duration (in turns) of the east-west and northsouth periods of the light, respectively. A &lsquo;-&rsquo; indicates that the tra\ufb03c light is initially green in the east-west direction, while a &lsquo;|&rsquo; indicates that it is initially green in the north-south direction.<\/p>\r\n\r\n<p>A blank line separates input test cases, as seen in the sample input below. A single line with the numbers &ldquo;0 0&rdquo; marks the end of input; do not process this case.<\/p>\r\n","output":"<p>For each test case, your program should print one integer on a single line: the minimum number of turns it takes to drive your truck from warehouse A to warehouse B. If it is not possible to get to warehouse B, print a single word &ldquo;impossible&rdquo;. Output corresponding to the sample input would appear as such:<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

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University > Stanford Local ACM Programming Contest > SLPC 2008 C번

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