시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 19 7 4 36.364%

문제

작년에 알고스팟 운영진들은 ACM-ICPC 대전 대회에 가기 위해 기차를 타고 이동했다. 하지만, 이것은 곧 엄청난 재앙으로 이어졌다. 대전으로 갈 때는 대전역에 발생한 불로 인해 열차가 지연되었고, 서울로 돌아올 때는 서울에 대한 테러 위협때문에 기차가 엄청나게 지연되었다. 이러한 엄청난 열차의 지연은 다른 열차도 지연되게 만든다. 느린 열차를 타는 것과 급행 열차를 기다리는 것 중 어떤 것이 열차가 지연될 확률이 적을까?

올해 알고스팟 운영진들은 열차 스케줄을 분석하고 계획을 세우기로 했다. 그들은 기차가 얼마나 지연되고, 얼마나 자주 지연되는지를 조사했다. 이제 이 정보를 가지고 이동 시간의 기대값이 가장 작은 열차를 타려고 한다.

각각의 열차에 대해서 알고스팟 운영진은 출발 시간과 소요 시간을 정확하게 알고 있다. 또, 그 열차가 지연될 확률도 알고 있다. 열차가 지연될 확률은 독립이고, 가는 도중에 지연되는 열차가 발생하면, 그 지연을 반영해서 여행 계획을 바꿀 수 있다.

열차는 항상 정시에 출발한다. 하지만, 도착 시간은 지연될 수 있다. 알고스팟 운영진은 열차가 지연될지 말지를 열차가 출발하기 전까지 알 수 없다. 알고스팟 운영진이 열차를 환승하는데 드는 시간은 0이다. 따라서, 열차가 도착한 시간과 동시에 출발하는 시간의 열차를 탈 수 있다.

알고스팟 운영진은 첫 기차를 타는 시간을 마음대로 정할 수 있다. 기차를 타고 이동하는데 드는 시간의 기대값의 최소값을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스의 개수는 100개를 넘지 않는다.

각 테스트 케이스의 첫째 줄에는 출발 도시의 이름과 도착 도시의 이름이 주어진다. 출발 도시와 도착 도시의 이름이 같은 경우는 없다. 그 다음 줄에는 열차의 수 n (1 ≤ n ≤ 1000)이 주어진다. 다음 n개의 줄에는 한 줄에 하나씩 열차의 정보가 주어진다.

열차의 정보는 다음과 같이 구성되어져 있다.

  • 출발 도시와 도착 도시. 두 도시의 이름이 같은 경우는 없다.
  • 열차의 출발 시간 m (0 ≤ m ≤ 59). 열차는 항상 1시간에 한 편씩 있으며, m분에 출발한다.
  • 열차의 소요 시간 t ( 1 ≤ t ≤ 300). 열차가 지연되지 않았을 때 걸리는 시간이다.
  • 열차가 지연될 퍼센트 확률 p (0 ≤ p ≤ 100).
  • 열차의 최대 지연 시간 d (1 ≤ d ≤ 120). d의 단위는 분이다.

모든 도시의 이름은 알파벳 대문자와 소문자로만 이루어져 있으며, 길이는 20을 넘지 않는다. 열차는 항상 정수 분 만큼 지연되며, 확률은 구간 [1, d]에 균일하게 분포되어 있다.

출력

각 테스트 케이스에 대해서 여행을 하는데 걸리는 시간의 기대값의 최소값을 출력한다.

만약, 도착 도시에 갈 수 없는 경우에는 "IMPOSSIBLE"을 출력하며, 소수점 오차는 10-6까지 허용한다.

예제 입력 1

3
Seoul Daejeon
3
Seoul Daejeon 15 68 10 5
Seoul Daejeon 46 55 50 60
Daejeon Busan 14 226 10 120
Seoul Daejeon
1
Seoul Busan 10 22 5 10
Seoul Daejeon
9
Seoul Gwangmyeong 15 10 0 1
Seoul Gwangmyeong 45 10 0 1
Seoul Cheonan 23 140 10 15
Gwangmyeong Busan 44 51 60 70
Busan Incheon 55 147 38 40
Incheon Daejeon 24 15 30 15
Incheon Daejeon 54 15 10 35
Cheonan Anyang 45 140 5 10
Anyang Incheon 46 96 10 20

예제 출력 1

68.3
IMPOSSIBLE
305.0532857

힌트

첫 번재 예제에서 서울에서 대전으로 이동할 때, 느린 열차를 타는 것이 더 좋다. 빠른 열차의 소요 시간의 기대값은 70.25분이다.

[{"problem_id":"3660","problem_lang":"0","title":"\uc5f4\ucc28 \uc9c0\uc5f0","description":"<p>\uc791\ub144\uc5d0 \uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\ub4e4\uc740 ACM-ICPC \ub300\uc804 \ub300\ud68c\uc5d0 \uac00\uae30 \uc704\ud574 \uae30\ucc28\ub97c \ud0c0\uace0 \uc774\ub3d9\ud588\ub2e4. \ud558\uc9c0\ub9cc, \uc774\uac83\uc740 \uace7 \uc5c4\uccad\ub09c \uc7ac\uc559\uc73c\ub85c \uc774\uc5b4\uc84c\ub2e4. \ub300\uc804\uc73c\ub85c \uac08 \ub54c\ub294 \ub300\uc804\uc5ed\uc5d0 \ubc1c\uc0dd\ud55c \ubd88\ub85c \uc778\ud574 \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub418\uc5c8\uace0, \uc11c\uc6b8\ub85c \ub3cc\uc544\uc62c \ub54c\ub294 \uc11c\uc6b8\uc5d0 \ub300\ud55c \ud14c\ub7ec \uc704\ud611\ub54c\ubb38\uc5d0 \uae30\ucc28\uac00 \uc5c4\uccad\ub098\uac8c \uc9c0\uc5f0\ub418\uc5c8\ub2e4. \uc774\ub7ec\ud55c \uc5c4\uccad\ub09c \uc5f4\ucc28\uc758 \uc9c0\uc5f0\uc740 \ub2e4\ub978 \uc5f4\ucc28\ub3c4 \uc9c0\uc5f0\ub418\uac8c \ub9cc\ub4e0\ub2e4. \ub290\ub9b0 \uc5f4\ucc28\ub97c \ud0c0\ub294 \uac83\uacfc \uae09\ud589 \uc5f4\ucc28\ub97c \uae30\ub2e4\ub9ac\ub294 \uac83 \uc911 \uc5b4\ub5a4 \uac83\uc774 \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub420 \ud655\ub960\uc774 \uc801\uc744\uae4c?<\/p>\r\n\r\n<p>\uc62c\ud574 \uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\ub4e4\uc740 \uc5f4\ucc28 \uc2a4\ucf00\uc904\uc744 \ubd84\uc11d\ud558\uace0 \uacc4\ud68d\uc744 \uc138\uc6b0\uae30\ub85c \ud588\ub2e4. \uadf8\ub4e4\uc740 \uae30\ucc28\uac00 \uc5bc\ub9c8\ub098 \uc9c0\uc5f0\ub418\uace0, \uc5bc\ub9c8\ub098 \uc790\uc8fc \uc9c0\uc5f0\ub418\ub294\uc9c0\ub97c \uc870\uc0ac\ud588\ub2e4. \uc774\uc81c \uc774 \uc815\ubcf4\ub97c \uac00\uc9c0\uace0 \uc774\ub3d9 \uc2dc\uac04\uc758 \uae30\ub300\uac12\uc774 \uac00\uc7a5 \uc791\uc740 \uc5f4\ucc28\ub97c \ud0c0\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01\uac01\uc758 \uc5f4\ucc28\uc5d0 \ub300\ud574\uc11c \uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\uc740 \ucd9c\ubc1c \uc2dc\uac04\uacfc \uc18c\uc694 \uc2dc\uac04\uc744 \uc815\ud655\ud558\uac8c \uc54c\uace0 \uc788\ub2e4. \ub610, \uadf8 \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub420 \ud655\ub960\ub3c4 \uc54c\uace0 \uc788\ub2e4. \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub420 \ud655\ub960\uc740 \ub3c5\ub9bd\uc774\uace0, \uac00\ub294 \ub3c4\uc911\uc5d0 \uc9c0\uc5f0\ub418\ub294 \uc5f4\ucc28\uac00 \ubc1c\uc0dd\ud558\uba74, \uadf8 \uc9c0\uc5f0\uc744 \ubc18\uc601\ud574\uc11c \uc5ec\ud589 \uacc4\ud68d\uc744 \ubc14\uafc0 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc5f4\ucc28\ub294 \ud56d\uc0c1 \uc815\uc2dc\uc5d0 \ucd9c\ubc1c\ud55c\ub2e4. \ud558\uc9c0\ub9cc, \ub3c4\ucc29 \uc2dc\uac04\uc740 \uc9c0\uc5f0\ub420 \uc218 \uc788\ub2e4. \uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\uc740 \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub420\uc9c0 \ub9d0\uc9c0\ub97c \uc5f4\ucc28\uac00 \ucd9c\ubc1c\ud558\uae30 \uc804\uae4c\uc9c0 \uc54c \uc218 \uc5c6\ub2e4. \uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\uc774 \uc5f4\ucc28\ub97c \ud658\uc2b9\ud558\ub294\ub370 \ub4dc\ub294 \uc2dc\uac04\uc740 0\uc774\ub2e4. \ub530\ub77c\uc11c, \uc5f4\ucc28\uac00 \ub3c4\ucc29\ud55c \uc2dc\uac04\uacfc \ub3d9\uc2dc\uc5d0 \ucd9c\ubc1c\ud558\ub294 \uc2dc\uac04\uc758 \uc5f4\ucc28\ub97c \ud0c8 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc54c\uace0\uc2a4\ud31f \uc6b4\uc601\uc9c4\uc740 \uccab \uae30\ucc28\ub97c \ud0c0\ub294 \uc2dc\uac04\uc744 \ub9c8\uc74c\ub300\ub85c \uc815\ud560 \uc218 \uc788\ub2e4. \uae30\ucc28\ub97c \ud0c0\uace0 \uc774\ub3d9\ud558\ub294\ub370 \ub4dc\ub294 \uc2dc\uac04\uc758 \uae30\ub300\uac12\uc758 \ucd5c\uc18c\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218\ub294 100\uac1c\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ucd9c\ubc1c \ub3c4\uc2dc\uc758 \uc774\ub984\uacfc \ub3c4\ucc29 \ub3c4\uc2dc\uc758 \uc774\ub984\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ucd9c\ubc1c \ub3c4\uc2dc\uc640 \ub3c4\ucc29 \ub3c4\uc2dc\uc758 \uc774\ub984\uc774 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \uadf8 \ub2e4\uc74c \uc904\uc5d0\ub294 \uc5f4\ucc28\uc758 \uc218 n (1 &le; n &le; 1000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c n\uac1c\uc758 \uc904\uc5d0\ub294 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc5f4\ucc28\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc5f4\ucc28\uc758 \uc815\ubcf4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\uc131\ub418\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ucd9c\ubc1c \ub3c4\uc2dc\uc640 \ub3c4\ucc29 \ub3c4\uc2dc. \ub450 \ub3c4\uc2dc\uc758 \uc774\ub984\uc774 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uc5f4\ucc28\uc758 \ucd9c\ubc1c \uc2dc\uac04 m (0 &le; m &le; 59). \uc5f4\ucc28\ub294 \ud56d\uc0c1 1\uc2dc\uac04\uc5d0 \ud55c \ud3b8\uc529 \uc788\uc73c\uba70, m\ubd84\uc5d0 \ucd9c\ubc1c\ud55c\ub2e4.<\/li>\r\n\t<li>\uc5f4\ucc28\uc758 \uc18c\uc694 \uc2dc\uac04 t ( 1 &le; t &le; 300). \uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub418\uc9c0 \uc54a\uc558\uc744 \ub54c \uac78\ub9ac\ub294 \uc2dc\uac04\uc774\ub2e4.<\/li>\r\n\t<li>\uc5f4\ucc28\uac00 \uc9c0\uc5f0\ub420 \ud37c\uc13c\ud2b8 \ud655\ub960 p (0 &le; p &le; 100).<\/li>\r\n\t<li>\uc5f4\ucc28\uc758 \ucd5c\ub300 \uc9c0\uc5f0 \uc2dc\uac04 d (1 &le; d &le; 120). d\uc758 \ub2e8\uc704\ub294 \ubd84\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa8\ub4e0 \ub3c4\uc2dc\uc758 \uc774\ub984\uc740 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\uc640 \uc18c\ubb38\uc790\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uae38\uc774\ub294 20\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4. \uc5f4\ucc28\ub294 \ud56d\uc0c1 \uc815\uc218 \ubd84 \ub9cc\ud07c \uc9c0\uc5f0\ub418\uba70, \ud655\ub960\uc740 \uad6c\uac04 [1, d]\uc5d0 \uade0\uc77c\ud558\uac8c \ubd84\ud3ec\ub418\uc5b4 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c \uc5ec\ud589\uc744 \ud558\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04\uc758 \uae30\ub300\uac12\uc758 \ucd5c\uc18c\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \ub3c4\ucc29 \ub3c4\uc2dc\uc5d0 \uac08 \uc218 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 &quot;IMPOSSIBLE&quot;\uc744 \ucd9c\ub825\ud558\uba70, \uc18c\uc218\uc810 \uc624\ucc28\ub294 10<sup>-6<\/sup>\uae4c\uc9c0 \ud5c8\uc6a9\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uccab \ubc88\uc7ac \uc608\uc81c\uc5d0\uc11c \uc11c\uc6b8\uc5d0\uc11c \ub300\uc804\uc73c\ub85c \uc774\ub3d9\ud560 \ub54c, \ub290\ub9b0 \uc5f4\ucc28\ub97c \ud0c0\ub294 \uac83\uc774 \ub354 \uc88b\ub2e4. \ube60\ub978 \uc5f4\ucc28\uc758 \uc18c\uc694 \uc2dc\uac04\uc758 \uae30\ub300\uac12\uc740 70.25\ubd84\uc774\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3660","problem_lang":"1","title":"Train delays","description":"<p>Last year, some of the judges tried to travel to NWERC&rsquo;10 by train. This turned into a big disaster: on the way there, a \ufb01re in a control room caused huge delays, while on the return trip, trains in Bremen were delayed due to a terrorist threat in Hamburg. Of course, these huge delays caused other delays in the train schedule, so the big question was which trains to take: would it be better to take this slow regional train now, or wait for that intercity train, which has a big chance of being delayed?<\/p>\r\n\r\n<p>This year, the judges have planned ahead and carefully analyzed the train schedule. They even kept track of how often trains were delayed and by how much. Now that they have all this information, they want to travel as quickly possible, minimizing the expected duration of the journey. Can you help them?<\/p>\r\n\r\n<p>For each train connection, the judges know exactly what its scheduled departure time and duration are, as well as the probability that its arrival at the destination will be delayed. You may assume that the probabilities of delays are independent and that the judges can adapt their itinerary as they go, depending on any delays which they might already have incurred. Trains always depart on time, but may arrive late and the judges do not know whether a train&rsquo;s arrival will be delayed until they have boarded it. It takes judges no time to switch trains, so they can take a connecting train that departs at the same time as they arrive at a place.<\/p>\r\n\r\n<p>The judges can choose the time of their initial departure as they wish and they want to minimize the expected duration of their total trip.<\/p>\r\n","input":"<p>On the \ufb01rst line a positive integer: the number of test cases, at most 100. After that per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with the judges&rsquo; place of origin and destination, these are different.<\/li>\r\n\t<li>one line with an integer n (1 &le; n &le; 1 000): the number of train connections.<\/li>\r\n\t<li>n lines, each describing a train connection:<\/li>\r\n\t<li>the origin and destination of this connection, these are different.\r\n\t<ul>\r\n\t\t<li>an integer m (0 &le; m &le; 59), the departure time in minutes after each full hour.<\/li>\r\n\t\t<li>an integer t (1 &le; t &le; 300), the standard journey time (assuming no delays).<\/li>\r\n\t\t<li>an integer p (0 &le; p &le; 100), the probability of delays as a percentage.<\/li>\r\n\t\t<li>an integer d (1 &le; d &le; 120), the maximum delay in minutes.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>All place names are given as strings of upper and lower case alphabetical characters, of length at most 20. If a train is delayed, then the length of the delay will be a whole number of minutes, and will be uniformly distributed in the range [1, d].<\/p>\r\n","output":"<p>Per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with a \ufb02oating point number: the minimum expected duration of the total trip in minutes.<\/li>\r\n<\/ul>\r\n\r\n<p>This number should be accurate up to 10<sup>-6<\/sup> relative or absolute precision. Output IMPOSSIBLE instead if the destination is not reachable.<\/p>\r\n","hint":"<p>ote in the \ufb01rst example that it is better to take the slower train from Seoul to Daejeon, since the fast train would give an expected travel time of 70:25 minutes.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2011 J번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: kipa00