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문제

나는 티비가 하나밖에 없는 집에 가족과 함께 살고 있다. 그래서 어떤 tv프로그램을 볼 지 늘 가족과 다투는 경우가 많다. 따라서 이를 자동으로 해결해 줄 기계를 만들고자 한다.

한 해동안 내 가족들이 보고자 하는 tv프로그램은 정해져있다. 그것들은 매주 늘 같은 시각에 시작해서 정확히 같은 시각에 끝난다. 따라서 한 주에 대해서 어떤 프로그램을 볼 지 정해놓고 그 방식대로 1년간 진행하면 되는 것이다. 각 프로그램들은 가족들로부터 일정한 점수를 받는데 이 점수가 높을 수록 가족이 선호하는 프로그램이라는 뜻이된다. 이러한 프로그램들을 볼때 점수의 총합이 가장 큰 방향으로 tv스케줄을 정하기로 가족이 합의했다. 하지만 나는 능력이 부족하여 가상의 여자친구에게 이 스케줄을 자동으로 만들어주는 기계를 만들어달라고 부탁했다. 하지만 가상의 여자친구도 이것이 귀찮아 여러분들에게 부탁을 하고자 한다.

입력

첫 번째 줄에 주어지는 t는 테스트 케이스의 개수이다. 각 테스트 케이스의 첫 줄은 tv프로그램의 개수 n(1 ≤ n ≤ 100000)이 주어진다. 그리고 n줄에 걸쳐서 공백으로 구분된 3개의 정수 s, d, p가 주어진다. s는 프로그램의 시작시간, d는 프로그램의 지속시간을 나타내고 p는 그 프로그램에 대한 가족들의 선호도이다. (0 ≤ s < s+d ≤ 10080, 1 ≤ p ≤ 2000) 만약 s+d=k라고 할때 이 프로그램은 정확히 k시각에 끝나는 것이고 새 프로그램을 정확히 k시각부터 볼 수 있다.

출력

각 테스트 케이스 별로 한줄에 선호도의 총합의 최댓값을 출력한다.

예제 입력 1

1
3
3 8 10
1 4 6
6 4 5

예제 출력 1

11

힌트

1부터 4동안 지속되는 프로그램과 6부터 4동안 진행되는 프로그램을 보면 선호도의 총합은 6+5=11이 되고 이것이 가족이 얻을 수 있는 선호도의 합의 최대가 된다.

[{"problem_id":"11108","problem_lang":"0","title":"TV \uc804\uc7c1","description":"<p>\ub098\ub294 \ud2f0\ube44\uac00 \ud558\ub098\ubc16\uc5d0 \uc5c6\ub294 \uc9d1\uc5d0 \uac00\uc871\uacfc \ud568\uaed8 \uc0b4\uace0 \uc788\ub2e4. \uadf8\ub798\uc11c \uc5b4\ub5a4 tv\ud504\ub85c\uadf8\ub7a8\uc744 \ubcfc \uc9c0 \ub298 \uac00\uc871\uacfc \ub2e4\ud22c\ub294 \uacbd\uc6b0\uac00 \ub9ce\ub2e4. \ub530\ub77c\uc11c \uc774\ub97c \uc790\ub3d9\uc73c\ub85c \ud574\uacb0\ud574 \uc904 \uae30\uacc4\ub97c&nbsp;\ub9cc\ub4e4\uace0\uc790 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud55c \ud574\ub3d9\uc548 \ub0b4 \uac00\uc871\ub4e4\uc774 \ubcf4\uace0\uc790 \ud558\ub294 tv\ud504\ub85c\uadf8\ub7a8\uc740 \uc815\ud574\uc838\uc788\ub2e4. \uadf8\uac83\ub4e4\uc740 \ub9e4\uc8fc \ub298 \uac19\uc740 \uc2dc\uac01\uc5d0 \uc2dc\uc791\ud574\uc11c \uc815\ud655\ud788 \uac19\uc740 \uc2dc\uac01\uc5d0 \ub05d\ub09c\ub2e4. \ub530\ub77c\uc11c \ud55c \uc8fc\uc5d0 \ub300\ud574\uc11c \uc5b4\ub5a4 \ud504\ub85c\uadf8\ub7a8\uc744 \ubcfc \uc9c0 \uc815\ud574\ub193\uace0 \uadf8 \ubc29\uc2dd\ub300\ub85c 1\ub144\uac04 \uc9c4\ud589\ud558\uba74 \ub418\ub294 \uac83\uc774\ub2e4. \uac01 \ud504\ub85c\uadf8\ub7a8\ub4e4\uc740 \uac00\uc871\ub4e4\ub85c\ubd80\ud130 \uc77c\uc815\ud55c \uc810\uc218\ub97c \ubc1b\ub294\ub370 \uc774 \uc810\uc218\uac00 \ub192\uc744 \uc218\ub85d \uac00\uc871\uc774 \uc120\ud638\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc774\ub77c\ub294 \ub73b\uc774\ub41c\ub2e4. \uc774\ub7ec\ud55c \ud504\ub85c\uadf8\ub7a8\ub4e4\uc744 \ubcfc\ub54c \uc810\uc218\uc758 \ucd1d\ud569\uc774 \uac00\uc7a5 \ud070 \ubc29\ud5a5\uc73c\ub85c tv\uc2a4\ucf00\uc904\uc744 \uc815\ud558\uae30\ub85c \uac00\uc871\uc774 \ud569\uc758\ud588\ub2e4. \ud558\uc9c0\ub9cc \ub098\ub294 \ub2a5\ub825\uc774 \ubd80\uc871\ud558\uc5ec \uac00\uc0c1\uc758 \uc5ec\uc790\uce5c\uad6c\uc5d0\uac8c \uc774 \uc2a4\ucf00\uc904\uc744 \uc790\ub3d9\uc73c\ub85c \ub9cc\ub4e4\uc5b4\uc8fc\ub294 \uae30\uacc4\ub97c \ub9cc\ub4e4\uc5b4\ub2ec\ub77c\uace0 \ubd80\ud0c1\ud588\ub2e4. \ud558\uc9c0\ub9cc \uac00\uc0c1\uc758 \uc5ec\uc790\uce5c\uad6c\ub3c4 \uc774\uac83\uc774 \uadc0\ucc2e\uc544 \uc5ec\ub7ec\ubd84\ub4e4\uc5d0\uac8c \ubd80\ud0c1\uc744 \ud558\uace0\uc790 \ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc8fc\uc5b4\uc9c0\ub294 t\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218\uc774\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc740 tv\ud504\ub85c\uadf8\ub7a8\uc758 \uac1c\uc218 n(1 &le; n &le; 100000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8\ub9ac\uace0 n\uc904\uc5d0 \uac78\uccd0\uc11c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub41c 3\uac1c\uc758 \uc815\uc218 s, d, p\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. s\ub294 \ud504\ub85c\uadf8\ub7a8\uc758 \uc2dc\uc791\uc2dc\uac04, d\ub294 \ud504\ub85c\uadf8\ub7a8\uc758 \uc9c0\uc18d\uc2dc\uac04\uc744 \ub098\ud0c0\ub0b4\uace0 p\ub294 \uadf8 \ud504\ub85c\uadf8\ub7a8\uc5d0 \ub300\ud55c \uac00\uc871\ub4e4\uc758 \uc120\ud638\ub3c4\uc774\ub2e4. (0 &le; s &lt; s+d &le; 10080, 1 &le; p &le; 2000) \ub9cc\uc57d s+d=k\ub77c\uace0 \ud560\ub54c \uc774 \ud504\ub85c\uadf8\ub7a8\uc740 \uc815\ud655\ud788 k\uc2dc\uac01\uc5d0 \ub05d\ub098\ub294 \uac83\uc774\uace0 \uc0c8 \ud504\ub85c\uadf8\ub7a8\uc744 \uc815\ud655\ud788 k\uc2dc\uac01\ubd80\ud130 \ubcfc \uc218 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubcc4\ub85c \ud55c\uc904\uc5d0 \uc120\ud638\ub3c4\uc758 \ucd1d\ud569\uc758 \ucd5c\ub313\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>1\ubd80\ud130 4\ub3d9\uc548 \uc9c0\uc18d\ub418\ub294 \ud504\ub85c\uadf8\ub7a8\uacfc 6\ubd80\ud130 4\ub3d9\uc548 \uc9c4\ud589\ub418\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \ubcf4\uba74 \uc120\ud638\ub3c4\uc758 \ucd1d\ud569\uc740 6+5=11\uc774 \ub418\uace0 \uc774\uac83\uc774 \uac00\uc871\uc774 \uc5bb\uc744 \uc218 \uc788\ub294 \uc120\ud638\ub3c4\uc758 \ud569\uc758 \ucd5c\ub300\uac00 \ub41c\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"11108","problem_lang":"1","title":"TV Battle","description":"<p>To your immense frustration, you only have one television set in your family. Deciding what TV show to watch at any given time is the source of a lot of argument. As an example, your little sister Anne always wants to watch &rdquo;Desperate Housewives&rdquo; while you want to watch &rdquo;C.S.I.&rdquo;. You believe it would be beneficial to use automated tools to settle these arguments.<\/p>\r\n\r\n<p>You therefore decide to construct a system that will decide which show that should be on at any given point in time. During a season each show is typically sent on the exact same time each week. You therefore decide to solve this problem for one week, and let this solution decide for a whole season. Each member of the family is given y points which he\/she can distribute among his\/her favorite shows. We assume that each show starts at the same time and lasts for d consecutive minutes each week. Each TV show is then assigned the total number of points given to it by all family members in total. You should write a program that maximizes the total number of points of the TV shows shown on your television set.<\/p>\r\n","input":"<p>The first line of input gives 1 &le; t &le; 30, the number of test cases. The first line for each test case gives 1 &le; n &le; 100000, the number of TV shows that have gotten any points from your family. Then follow n lines with 3 space separated integers s<sub>i<\/sub>, d<sub>i<\/sub> and p<sub>i<\/sub>, where each line describes one TV show. s<sub>i<\/sub> describes the minute at which show i starts, and d<sub>i<\/sub> describes the number of minutes show i lasts (0 &le; s<sub>i<\/sub> &lt; s<sub>i<\/sub> + d<sub>i<\/sub> &le; 10080). If s<sub>i<\/sub> + d<sub>i<\/sub> = k, it means that you can start watching a new show at time k. p<sub>i<\/sub> describes the total number of points show i has gotten in your family (1 &le; p<sub>i<\/sub> &le; 2000).<\/p>\r\n","output":"<p>There should be one line of output for each test case containing the maximum sum of points for the TV shows shown on the television set.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

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