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문제

말썽꾸러기 연정이는 오늘도 태우의 자동차를 몰래타고 신나게 도로를 달리는 중이다.

도로는 정확히 100km 이고, 연정이는 무조건 도로의 끝까지 달려야한다.

도로의 각 구간에는 제한속도를 지정해 두었으나 쿨한 연정이는 속도 위반에는 개의치 않아 (더군다나 자신의 차도 아니므로) 자신이 원하는 속도로 달린다.

도로는 N개의 구간으로 나뉘며 각 구간에는 도로 길이와 해당 도로의 제한속도가 주어진다. 

도로 N개의 총 합은 100km 이며 각 구간별 도로 길이와 제한 속도는 모두 양의 정수이다. 예를 들어, N이 3이고 (40, 75), (50, 35), (10, 45) 이라면 

  • 첫 구간의 도로 길이는 40km, 제한속도는 75km/h 
  • 두 번째 구간의 도로 길이는 50km, 제한 속도는 35km/h 
  • 세 번째 구간의 도로 길이는 10km, 제한 속도는 45km/h

연정이가 달린 도로 또한 M 개 구간으로 나뉘며 각 구간에는 도로 길이와 연정이가 달린 속도가 주어진다. 

M 개의 도로 총 합은 100km 이며 각 구간별 도로 길이와 달린 속도는 모두 양의 정수이다. 예를 들어 M 이 3이고 (40, 76), (20, 30), (40, 40) 이라면 

  • 첫 구간에서 연정이가 달린 도로 길이는 40km, 달린 속도는 76km/h
  • 두 번째 구간에서 달린 도로 길이는 20km, 달린 속도는 30km/h
  • 세 번째 구간에서 달린 도로 길이는 40km, 달린 속도는 40km/h

연정이가 100km 도로를 달리는 동안 속도를 위반한 최댓값을 구하시오.

입력

첫 줄에 N과 M이 주어진다. 그 다음 줄부터 N개의 줄은 각 구간의 길이 및 해당 구간에서의 제한 속도가 주어지며, 다음 M개의 줄은 연정이가 달린 각 구간의 길이와 해당 구간에서 달린 속도가 주어진다.

출력

연정이가 도로를 달리는 동안 속도 위반한 최댓값을 출력하시오. 단, 속도 위반을 하지 않았다면 0을 출력하시오.

예제 입력 1

3 3
40 75
50 35
10 45
40 76
20 30
40 40

예제 출력 1

5

힌트

예를 들어 도로가 3구역 [(40km, 75km/h), (50km, 35km/h), (10km, 45km/h)] 이고. 연정이가 달린 3구역 [(40km, 76km/h), (20km, 30km/h), (40km, 40km/h)] 이라면, 처음 0 ~ 40km 영역에서 1km/h 만큼 위반했으나 60km ~ 90km 사이에서 5km/h 만큼 위반했기에 연정이가 위반한 최대 값은 5 이다.

[{"problem_id":"11971","problem_lang":"0","title":"\uc18d\ub3c4 \uc704\ubc18","description":"<p>\ub9d0\uc37d\uafb8\ub7ec\uae30 \uc5f0\uc815\uc774\ub294 \uc624\ub298\ub3c4&nbsp;\ud0dc\uc6b0\uc758 \uc790\ub3d9\ucc28\ub97c \ubab0\ub798\ud0c0\uace0 \uc2e0\ub098\uac8c \ub3c4\ub85c\ub97c \ub2ec\ub9ac\ub294 \uc911\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\ub85c\ub294 \uc815\ud655\ud788 100km \uc774\uace0,&nbsp;\uc5f0\uc815\uc774\ub294 \ubb34\uc870\uac74 \ub3c4\ub85c\uc758 \ub05d\uae4c\uc9c0&nbsp;\ub2ec\ub824\uc57c\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\ub85c\uc758 \uac01 \uad6c\uac04\uc5d0\ub294 \uc81c\ud55c\uc18d\ub3c4\ub97c \uc9c0\uc815\ud574 \ub450\uc5c8\uc73c\ub098 \ucfe8\ud55c \uc5f0\uc815\uc774\ub294 \uc18d\ub3c4 \uc704\ubc18\uc5d0\ub294 \uac1c\uc758\uce58 \uc54a\uc544 (\ub354\uad70\ub2e4\ub098 \uc790\uc2e0\uc758 \ucc28\ub3c4 \uc544\ub2c8\ubbc0\ub85c)&nbsp;\uc790\uc2e0\uc774 \uc6d0\ud558\ub294 \uc18d\ub3c4\ub85c \ub2ec\ub9b0\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\ub85c\ub294 N\uac1c\uc758 \uad6c\uac04\uc73c\ub85c \ub098\ub258\uba70 \uac01 \uad6c\uac04\uc5d0\ub294&nbsp;\ub3c4\ub85c&nbsp;\uae38\uc774\uc640 \ud574\ub2f9 \ub3c4\ub85c\uc758 \uc81c\ud55c\uc18d\ub3c4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ub3c4\ub85c N\uac1c\uc758 \ucd1d \ud569\uc740 100km \uc774\uba70&nbsp;\uac01 \uad6c\uac04\ubcc4 \ub3c4\ub85c \uae38\uc774\uc640 \uc81c\ud55c \uc18d\ub3c4\ub294 \ubaa8\ub450 \uc591\uc758 \uc815\uc218\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, N\uc774 3\uc774\uace0 (40, 75), (50, 35), (10, 45) \uc774\ub77c\uba74&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \uad6c\uac04\uc758 \ub3c4\ub85c \uae38\uc774\ub294 40km,&nbsp;\uc81c\ud55c\uc18d\ub3c4\ub294 75km\/h&nbsp;<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uad6c\uac04\uc758 \ub3c4\ub85c \uae38\uc774\ub294 50km,&nbsp;\uc81c\ud55c \uc18d\ub3c4\ub294 35km\/h&nbsp;<\/li>\r\n\t<li>\uc138 \ubc88\uc9f8 \uad6c\uac04\uc758 \ub3c4\ub85c \uae38\uc774\ub294 10km,&nbsp;\uc81c\ud55c \uc18d\ub3c4\ub294 45km\/h<\/li>\r\n<\/ul>\r\n\r\n<p>\uc5f0\uc815\uc774\uac00 \ub2ec\ub9b0 \ub3c4\ub85c \ub610\ud55c M \uac1c \uad6c\uac04\uc73c\ub85c \ub098\ub258\uba70 \uac01 \uad6c\uac04\uc5d0\ub294&nbsp;\ub3c4\ub85c \uae38\uc774\uc640&nbsp;\uc5f0\uc815\uc774\uac00 \ub2ec\ub9b0 \uc18d\ub3c4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>M \uac1c\uc758 \ub3c4\ub85c \ucd1d \ud569\uc740 100km \uc774\uba70 \uac01 \uad6c\uac04\ubcc4 \ub3c4\ub85c \uae38\uc774\uc640 \ub2ec\ub9b0 \uc18d\ub3c4\ub294 \ubaa8\ub450 \uc591\uc758 \uc815\uc218\uc774\ub2e4.&nbsp;\uc608\ub97c \ub4e4\uc5b4 M \uc774 3\uc774\uace0 (40,&nbsp;76), (20, 30),&nbsp;(40, 40) \uc774\ub77c\uba74&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \uad6c\uac04\uc5d0\uc11c \uc5f0\uc815\uc774\uac00 \ub2ec\ub9b0 \ub3c4\ub85c \uae38\uc774\ub294 40km,&nbsp;\ub2ec\ub9b0 \uc18d\ub3c4\ub294 76km\/h<\/li>\r\n\t<li>\ub450 \ubc88\uc9f8 \uad6c\uac04\uc5d0\uc11c \ub2ec\ub9b0 \ub3c4\ub85c \uae38\uc774\ub294&nbsp;20km, \ub2ec\ub9b0 \uc18d\ub3c4\ub294 30km\/h<\/li>\r\n\t<li>\uc138 \ubc88\uc9f8 \uad6c\uac04\uc5d0\uc11c \ub2ec\ub9b0 \ub3c4\ub85c \uae38\uc774\ub294 40km, \ub2ec\ub9b0 \uc18d\ub3c4\ub294 40km\/h<\/li>\r\n<\/ul>\r\n\r\n<p>\uc5f0\uc815\uc774\uac00 100km \ub3c4\ub85c\ub97c \ub2ec\ub9ac\ub294 \ub3d9\uc548 \uc18d\ub3c4\ub97c \uc704\ubc18\ud55c \ucd5c\ub313\uac12\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0&nbsp;N\uacfc M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130 N\uac1c\uc758 \uc904\uc740 \uac01 \uad6c\uac04\uc758 \uae38\uc774 \ubc0f \ud574\ub2f9 \uad6c\uac04\uc5d0\uc11c\uc758 \uc81c\ud55c \uc18d\ub3c4\uac00 \uc8fc\uc5b4\uc9c0\uba70, \ub2e4\uc74c M\uac1c\uc758&nbsp;\uc904\uc740 \uc5f0\uc815\uc774\uac00 \ub2ec\ub9b0 \uac01 \uad6c\uac04\uc758 \uae38\uc774\uc640 \ud574\ub2f9 \uad6c\uac04\uc5d0\uc11c&nbsp;\ub2ec\ub9b0 \uc18d\ub3c4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uc5f0\uc815\uc774\uac00 \ub3c4\ub85c\ub97c \ub2ec\ub9ac\ub294 \ub3d9\uc548 \uc18d\ub3c4 \uc704\ubc18\ud55c \ucd5c\ub313\uac12\uc744 \ucd9c\ub825\ud558\uc2dc\uc624. \ub2e8, \uc18d\ub3c4 \uc704\ubc18\uc744 \ud558\uc9c0 \uc54a\uc558\ub2e4\uba74 0\uc744 \ucd9c\ub825\ud558\uc2dc\uc624.<\/p>\r\n","hint":"<p>\uc608\ub97c \ub4e4\uc5b4 \ub3c4\ub85c\uac00 3\uad6c\uc5ed [(40km, 75km\/h), (50km, 35km\/h), (10km, 45km\/h)] \uc774\uace0. \uc5f0\uc815\uc774\uac00 \ub2ec\ub9b0 3\uad6c\uc5ed [(40km, 76km\/h), (20km, 30km\/h), (40km, 40km\/h)] \uc774\ub77c\uba74, \ucc98\uc74c 0 ~ 40km \uc601\uc5ed\uc5d0\uc11c 1km\/h \ub9cc\ud07c \uc704\ubc18\ud588\uc73c\ub098 60km ~ 90km \uc0ac\uc774\uc5d0\uc11c 5km\/h \ub9cc\ud07c \uc704\ubc18\ud588\uae30\uc5d0 \uc5f0\uc815\uc774\uac00 \uc704\ubc18\ud55c \ucd5c\ub300 \uac12\uc740 5&nbsp;\uc774\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"11971","problem_lang":"1","title":"Speeding Ticket","description":"<p>Always the troublemaker, Bessie the cow has stolen Farmer John&#39;s tractor and taken off down the road!<\/p>\r\n\r\n<p>The road is exactly 100 miles long, and Bessie drives the entire length of the road before ultimately being pulled over by a police officer, who gives Bessie a ticket for exceeding the speed limit, for having an expired license, and for operating a motor vehicle while being a cow. While Bessie concedes that the last two tickets are probably valid, she questions whether the police officer was correct in issuing the speeding ticket, and she wants to determine for herself if she has indeed driven faster than the speed limit for part of her journey.<\/p>\r\n\r\n<p>The road is divided into \\(N\\) segments, each described by a positive integer length in miles, as well as an integer speed limit in the range \\(1 \\ldots 100\\) miles per hour. As the road is 100 miles long, the lengths of all \\(N\\) segments add up to 100. For example, the road might start with a segment of length 45 miles, with speed limit 70, and then it might end with a segment of length 55 miles, with speed limit 60.<\/p>\r\n\r\n<p>Bessie&#39;s journey can also be described by a series of segments, \\(M\\) of them. During each segment, she travels for a certain positive integer number of miles, at a certain integer speed. For example, she might begin by traveling 50 miles at a speed of 65, then another 50 miles at a speed of 55. The lengths of all \\(M\\) segments add to 100 total miles. Farmer John&#39;s tractor can drive 100 miles per hour at its fastest.<\/p>\r\n\r\n<p>Given the information above, please determine the maximum amount over the speed limit that Bessie travels during any part of her journey.<\/p>\r\n","input":"<p>The first line of the input contains \\(N\\) and \\(M\\), separated by a space.<\/p>\r\n\r\n<p>The next \\(N\\) lines each contain two integers describing a road segment, giving its length and speed limit.<\/p>\r\n\r\n<p>The next \\(M\\) lines each contain two integers describing a segment in Bessie&#39;s journey, giving the length and also the speed at which Bessie was driving.<\/p>\r\n","output":"<p>Please output a single line containing the maximum amount over the speed limit Bessie drove during any part of her journey. If she never exceeds the speed limit, please output 0.<\/p>\r\n","hint":"<p>In this example, the road contains three segments (40 miles at 75 miles per hour, followed by 50 miles at 35 miles per hour, then 10 miles at 45 miles per hour). Bessie drives for three segments (40 miles at 76 miles per hour, 20 miles at 30 miles per hour, and 40 miles at 40 miles per hour). During her first segment, she is slightly over the speed limit, but her last segment is the worst infraction, during part of which she is 5 miles per hour over the speed limit. The correct answer is therefore 5.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > USA Computing Olympiad > 2015-2016 Season > USACO December 2015 Contest > Bronze 2번

  • 문제의 오타를 찾은 사람: cheetose
  • 문제를 번역한 사람: john6014