시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1 0 0 0.000%

문제

도시에서 자전거를 탈 때, 교통 신호를 기다리는 시간은 큰 비중을 차지한다. 학교에 자전거를 타고 등교를 하려면 이 시간을 줄여야 한다.

교통 신호 때문에 낭비하는 시간은 빨간불을 기다리는 시간보다 더 많은 시간을 포함한다. 불이 초록불로 바뀌었을 때, 자전거를 가속하는 시간도 필요하기 때문이다.

자전거 여행을 아래와 같이 모델링할 수 있다.

  • 자전거는 앞으로 가거나 그 자리에 서있을 수 있다. 뒤로는 갈 수 없다. 자전거는 최대 속도가 없다. 
  • 자전거는 1초에 최대 초속 0.5미터 만큼 가속할 수 있다. (가속도가 최대 0.5m/s^2 이다)
  • 자전거는 현재 속도와 0 사이의 속도중 하나로 즉시 감속할 수 있다.
  • 자전거는 빨간불일 때 앞으로 갈 수 없다.
  • 신호등은 빨간불과 초록불이 번갈아가면서 특정 주기를 가지고 바뀐다. (노란불로 바뀌지 않는다)

위의 모델은 이론상의 모델로 실제 현상과는 많이 다르다.

상근이는 시간 T= 0에 점 X = 0에 속도 0으로 서있다. 상근이는 자전거를 타고 X=Xdest에 최대한 빨리 도착하려고 한다. 모든 신호등을 안전하게 통과하고 Xdest에 최대한 빠르게 도착하는 가속과 감속 패턴을 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫째 줄에는 도착지의 좌표 Xdest와 신호등의 개수 L이 주어진다. (1 ≤ Xdest ≤ 10000, 0 ≤ L ≤ 10)

다음 L개 줄에는 신호등의 정보가 X좌표가 증가하는 순으로 주어진다. 신호등 정보는 신호등의 위치 Xi (0 < Xi < Xdest), 빨간색이 지속되는 시간 Ri (10 ≤ Ri ≤ 500), 초록불이 지속되는 시간 Gi (10 ≤ Gi ≤ 500)로 이루어져 있다.

모든 신호등은 T = 0일때, 빨간불로 바뀌었다. 또, 신호등 i는 T = Ri일 때, 처음으로 초록불이 된다.

두 신호등이 같은 장소에 있는 경우는 없다.

출력

각 테스트 케이스에 대해서, 도착지에 도착하는 가장 빠른 시간을 소수점 셋째 짜리로 반올림해 출력한다. 

예제 입력 1

410.0 2
200.0 15.0 15.0
225.0 31.0 10.0
410.0 2
200.0 15.0 15.0
225.0 35.1 15.0
410.0 2
200.0 15.0 15.0
225.0 45.0 10.0

예제 출력 1

41.497
52.623
57.213
[{"problem_id":"3642","problem_lang":"0","title":"\uc790\uc804\uac70","description":"<p>\ub3c4\uc2dc\uc5d0\uc11c \uc790\uc804\uac70\ub97c \ud0c8 \ub54c, \uad50\ud1b5 \uc2e0\ud638\ub97c \uae30\ub2e4\ub9ac\ub294 \uc2dc\uac04\uc740 \ud070 \ube44\uc911\uc744 \ucc28\uc9c0\ud55c\ub2e4. \ud559\uad50\uc5d0 \uc790\uc804\uac70\ub97c \ud0c0\uace0 \ub4f1\uad50\ub97c \ud558\ub824\uba74 \uc774 \uc2dc\uac04\uc744 \uc904\uc5ec\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uad50\ud1b5 \uc2e0\ud638 \ub54c\ubb38\uc5d0 \ub0ad\ube44\ud558\ub294 \uc2dc\uac04\uc740 \ube68\uac04\ubd88\uc744 \uae30\ub2e4\ub9ac\ub294 \uc2dc\uac04\ubcf4\ub2e4 \ub354 \ub9ce\uc740 \uc2dc\uac04\uc744 \ud3ec\ud568\ud55c\ub2e4. \ubd88\uc774 \ucd08\ub85d\ubd88\ub85c \ubc14\ub00c\uc5c8\uc744 \ub54c, \uc790\uc804\uac70\ub97c \uac00\uc18d\ud558\ub294 \uc2dc\uac04\ub3c4 \ud544\uc694\ud558\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc790\uc804\uac70 \uc5ec\ud589\uc744 \uc544\ub798\uc640 \uac19\uc774 \ubaa8\ub378\ub9c1\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc790\uc804\uac70\ub294 \uc55e\uc73c\ub85c \uac00\uac70\ub098 \uadf8 \uc790\ub9ac\uc5d0 \uc11c\uc788\uc744 \uc218 \uc788\ub2e4. \ub4a4\ub85c\ub294 \uac08 \uc218 \uc5c6\ub2e4. \uc790\uc804\uac70\ub294 \ucd5c\ub300 \uc18d\ub3c4\uac00 \uc5c6\ub2e4.&nbsp;<\/li>\r\n\t<li>\uc790\uc804\uac70\ub294 1\ucd08\uc5d0 \ucd5c\ub300 \ucd08\uc18d 0.5\ubbf8\ud130 \ub9cc\ud07c \uac00\uc18d\ud560 \uc218 \uc788\ub2e4. (\uac00\uc18d\ub3c4\uac00 \ucd5c\ub300 0.5m\/s<span style=\"font-size:11px\">^2<\/span>&nbsp;\uc774\ub2e4)<\/li>\r\n\t<li>\uc790\uc804\uac70\ub294 \ud604\uc7ac \uc18d\ub3c4\uc640 0 \uc0ac\uc774\uc758 \uc18d\ub3c4\uc911 \ud558\ub098\ub85c \uc989\uc2dc \uac10\uc18d\ud560 \uc218 \uc788\ub2e4.<\/li>\r\n\t<li>\uc790\uc804\uac70\ub294 \ube68\uac04\ubd88\uc77c \ub54c \uc55e\uc73c\ub85c \uac08 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uc2e0\ud638\ub4f1\uc740 \ube68\uac04\ubd88\uacfc \ucd08\ub85d\ubd88\uc774 \ubc88\uac08\uc544\uac00\uba74\uc11c \ud2b9\uc815 \uc8fc\uae30\ub97c \uac00\uc9c0\uace0 \ubc14\ub010\ub2e4. (\ub178\ub780\ubd88\ub85c \ubc14\ub00c\uc9c0 \uc54a\ub294\ub2e4)<\/li>\r\n<\/ul>\r\n\r\n<p>\uc704\uc758 \ubaa8\ub378\uc740 \uc774\ub860\uc0c1\uc758 \ubaa8\ub378\ub85c \uc2e4\uc81c \ud604\uc0c1\uacfc\ub294 \ub9ce\uc774 \ub2e4\ub974\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \uc2dc\uac04 T= 0\uc5d0 \uc810 X = 0\uc5d0 \uc18d\ub3c4 0\uc73c\ub85c \uc11c\uc788\ub2e4. \uc0c1\uadfc\uc774\ub294 \uc790\uc804\uac70\ub97c \ud0c0\uace0 X=X<sub>dest<\/sub>\uc5d0 \ucd5c\ub300\ud55c \ube68\ub9ac \ub3c4\ucc29\ud558\ub824\uace0 \ud55c\ub2e4. \ubaa8\ub4e0 \uc2e0\ud638\ub4f1\uc744 \uc548\uc804\ud558\uac8c \ud1b5\uacfc\ud558\uace0 X<sub>dest<\/sub>\uc5d0 \ucd5c\ub300\ud55c \ube60\ub974\uac8c \ub3c4\ucc29\ud558\ub294 \uac00\uc18d\uacfc \uac10\uc18d \ud328\ud134\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ub3c4\ucc29\uc9c0\uc758 \uc88c\ud45c X<sub>dest<\/sub>\uc640 \uc2e0\ud638\ub4f1\uc758 \uac1c\uc218 L\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; X<sub>dest<\/sub>&nbsp;&le; 10000, 0 &le; L &le; 10)<\/p>\r\n\r\n<p>\ub2e4\uc74c L\uac1c \uc904\uc5d0\ub294 \uc2e0\ud638\ub4f1\uc758 \uc815\ubcf4\uac00 X\uc88c\ud45c\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc2e0\ud638\ub4f1 \uc815\ubcf4\ub294 \uc2e0\ud638\ub4f1\uc758 \uc704\uce58 X<sub>i<\/sub>&nbsp;(0 &lt; X<sub>i<\/sub>&nbsp;&lt; X<sub>dest<\/sub>), \ube68\uac04\uc0c9\uc774 \uc9c0\uc18d\ub418\ub294 \uc2dc\uac04 R<sub>i<\/sub>&nbsp;(10 &le; R<sub>i<\/sub>&nbsp;&le; 500), \ucd08\ub85d\ubd88\uc774 \uc9c0\uc18d\ub418\ub294 \uc2dc\uac04 G<sub>i<\/sub>&nbsp;(10 &le; G<sub>i<\/sub>&nbsp;&le; 500)\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc2e0\ud638\ub4f1\uc740 T = 0\uc77c\ub54c, \ube68\uac04\ubd88\ub85c \ubc14\ub00c\uc5c8\ub2e4. \ub610, \uc2e0\ud638\ub4f1 i\ub294 T = R<sub>i<\/sub>\uc77c \ub54c, \ucc98\uc74c\uc73c\ub85c \ucd08\ub85d\ubd88\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub450 \uc2e0\ud638\ub4f1\uc774 \uac19\uc740 \uc7a5\uc18c\uc5d0 \uc788\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \ub3c4\ucc29\uc9c0\uc5d0 \ub3c4\ucc29\ud558\ub294 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac04\uc744 \uc18c\uc218\uc810 \uc14b\uc9f8 \uc9dc\ub9ac\ub85c \ubc18\uc62c\ub9bc\ud574 \ucd9c\ub825\ud55c\ub2e4.&nbsp;<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3642","problem_lang":"1","title":"Cycling","description":"<p>On a bicycle trip through the city, a signi\ufb01cant amount of time is spent waiting for traf\ufb01c lights. If only you could reduce this lost time, maybe you would \ufb01nally manage to get to class in time for the \ufb01rst lecture.<\/p>\r\n\r\n<p>Note that the amount of time lost on a red traf\ufb01c light is more than just the time spent standing still at the light. After the light turns green, additional time is lost while the bicycle accelerates.<\/p>\r\n\r\n<p>In this problem, we assume a theoretical model of a bicycle trip, based on the following rules:<\/p>\r\n\r\n<ul>\r\n\t<li>The bicycle moves forward or stands still, but it never moves backwards. The bicycle does not have a maximum speed, but you may rest assured that relativistic effects will not be involved in this problem.<\/li>\r\n\t<li>The bicycle can increase speed at a maximum acceleration of 0.5 meters per second per second.<\/li>\r\n\t<li>The bicycle can instantaneously reduce its speed to any value between zero and the current speed.<\/li>\r\n\t<li>The bicycle cannot go through a red light.<\/li>\r\n\t<li>Each traf\ufb01c light turns red and green according to a \ufb01xed, continuously repeating rhythm. (These traf\ufb01c lights don&rsquo;t turn yellow.)<\/li>\r\n<\/ul>\r\n\r\n<p>It should be obvious that the theoretical model deviates from reality in several ways. For example, Dutch cyclists hardly ever stop for red lights. Also, the modelled bicycle can decelerate at an in\ufb01nite rate, while most student&rsquo;s bikes do not have any braking capability to speak of. We ignore these differences for now and focus on the theory.<\/p>\r\n\r\n<p>You are standing with your bike at point X = 0 at time T = 0 with zero speed.<\/p>\r\n\r\n<p>You are in an enormous hurry and would like to arrive at point X = X<sub>dest<\/sub> as soon as possible.<\/p>\r\n\r\n<p>Your task is to \ufb01nd a pattern of accelerating and braking such that you safely pass all traf\ufb01c lights and arrive in X<sub>dest<\/sub> at the earliest possible time.<\/p>\r\n\r\n<p>It is allowed to brake and\/or stop at any point during the trip, including (of course) for red traf\ufb01c lights. However, it may be more ef\ufb01cient to \ufb01gure out some way in which you can cycle past the traf\ufb01c lights while they are green.<\/p>\r\n","input":"<p>The input for each test case consists of the following items:<\/p>\r\n\r\n<ul>\r\n\t<li>A line containing a \ufb02oating point number X<sub>dest<\/sub> and an integer L. X<sub>dest<\/sub> is the total distance to travel in meters (1 &le; X<sub>dest<\/sub> &le; 10000);<\/li>\r\n\t<li>L is the number of traf\ufb01c lights to pass (0 &le; L &le; 10).<\/li>\r\n\t<li>L lines describing the traf\ufb01c lights, listed in order of increasing X position. Each of these lines contains 3 \ufb02oating point numbers:\r\n\t<ul>\r\n\t\t<li>X<sub>i<\/sub>, the position of the traf\ufb01c light in meters from the start (0 &lt; X<sub>i<\/sub> &lt; X<sub>dest<\/sub>);<\/li>\r\n\t\t<li>R<sub>i<\/sub>, the duration of each red-light period of this traf\ufb01c light in seconds (10 &le; R<sub>i<\/sub> &le; 500);<\/li>\r\n\t\t<li>G<sub>i<\/sub>, the duration of each green-light period of this traf\ufb01c light in seconds (10 &le; G<sub>i<\/sub> &le; 500).<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n\r\n<p>All traf\ufb01c lights turn red at time T = 0.<\/p>\r\n\r\n<p>Traf\ufb01c light i turns green for the \ufb01rst time at T = R<sub>i<\/sub>.<\/p>\r\n\r\n<p>There is never more than one traf\ufb01c light in the same position.<\/p>\r\n","output":"<p>For each test case, write one line of output containing a \ufb02oating point number: the earliest time at which the cyclist can reach the destination.<\/p>\r\n\r\n<p>The answer should be rounded to 3 digits after the decimal point.<\/p>\r\n\r\n<p>The test cases will be such that very small inaccuracies will not cause errors in the \ufb01nal answer after rounding.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_code":"\uc601\uc5b4"}]

출처

ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2012 C번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: mgkim011