시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB28131147.826%

문제

현주는 안암에서 피자가게를 하고 있다. 이 피자 가게는 환상적인 맛으로 대전에서 엄청난 인기를 끌었고, 대전에 사는 모든 사람들은 점심으로 현주네 피자가게를 이용한다. 현주네 피자가게에서 배달부로 일하는 현정이는 전국 스쿠터 배달 대회 1등 출신이다. 1등 출신 답게 그가 피자를 배달하는데 걸리는 시간은 0에 매우 가깝기 때문에 무시할 수 있다.

배달은 현정이를 통해서 해결하면 되지만, 문제는 피자를 만드는데 시간이 오래걸린다는 것이다. 사람들이 가장 좋아하는 피자의 토핑 조합은 사람마다 다르다. 또, 현주네 가게에 있는 오븐은 매우 작아서 한번에 피자 하나만 구울 수 있다. 따라서, 피자를 굽는 일정을 정하기 위해서 요즘 동혁이를 영입하였다.

동혁이는 날이 시작하기 전에 피자를 만드는 일정을 작성해야 한다.

대전에는 총 N명이 살고 있다. 현주는 모든 사람들에게 고유 번호를 붙여주었고, 번호는 1부터 N까지이다. 동혁이는 일을 시작하기 전에 미리 i가 좋아하는 피자를 만드는데 걸리는 시간(Ti)을 조사했고, 점심을 먹기 원하는 시간(Li)를 조사했다. 만약 피자를 Li보다 K분 빠른 시간에 배달한다면, 현정이는 팁으로 K원을 받게 된다. 또, K분 늦게 배달한다면, 현정이는 K원을 뺏기게 된다. 피자가 정확한 시간에 도착한다면, 팁도 받을 수 없고, 뺏기는 돈도 없다.

동혁이는 학비를 내느라 고생하는 현정이를 위해서, 현정이가 팁을 가능한 많이 받게 일정을 작성하려고 한다. 물론, 현정이가 받는 팁은 음수일 수도 있다. 이러한 경우는 피자를 늦게 배달해서 벌금으로 내는 돈이 더 많을 때이다.

그런데, 가끔 변화를 주기 위해서 좋아하는 피자를 바꾸는 사람도 있다. 이렇게 좋아하는 피자가 바뀔 때는, 원하는 점심 시간이 변할 수도 있다. 이렇게 시키려는 피자를 바꾸려면, 시간이 0일 때 현주네 피자가게로 전화를 해야 한다.

시간이 0인 시간은 피자를 굽기 시작하기 전까지 무한히 지속된다고 한다. 또, 모든 전화는 시간이 0인 동안 온다.

가장 먼저 원래 사람들이 시키려고 한 피자의 정보로 일정을 구한다. 그 다음에, 좋아하는 피자를 바꾸는 전화가 올 때 마다, 일정을 다시 구하는 프로그램을 작성하시오. 동혁이는 현정이가 받는 팁이 가장 커지게 일정을 작성해야 한다.

입력

첫째 줄에 사람의 수 N과 현주가 받은 전화의 수 C가 주어진다.

둘째 줄부터 N개의 줄에는 i가 점심을 먹는 시간 Li와 그가 좋아하는 피자를 굽는데 드는 시간 Ti가 주어진다.

다음 C개 줄에는 세 정수 R(전화를 건 사람의 번호), L(R이 점심을 먹을 새로운 시간), T(R이 좋아하는 피자를 굽는데 드는 시간)이 전화가 온 순서대로 주어진다.

출력

첫째 줄에 아무 전화도 받지 않았을 때, 현정이가 받게되는 최대 팁을 출력한다.

다음 줄부터 C개 줄에는, 각 전화에 의해서 변경되는 일정에서 현정이가 받게되는 최대 팁을 출력한다.

제한

  • 1 ≤ N,C ≤ 200,000
  • 0 ≤ Li, L ≤ 100,000
  • 1 ≤ Ti, T ≤ 100,000
  • 1 ≤ R ≤ N

예제 입력 1

3 2
10 2
6 5
4 3
1 6 1
3 0 10

예제 출력 1

3
2
-11

예제 입력 2

4 2
3 2
0 3
4 3
4 1
3 0 4
1 4 5

예제 출력 2

-8
-13
-18

예제 입력 3

6 7
17 5
26 4
5 5
12 4
8 1
18 2
3 31 3
4 11 5
4 19 3
5 23 2
6 15 1
5 19 1
3 10 4

예제 출력 3

27
59
56
69
78
81
82
58
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\uc788\ub2e4.<\/p>\r\n\r\n<p>\ubc30\ub2ec\uc740 \ud604\uc815\uc774\ub97c \ud1b5\ud574\uc11c \ud574\uacb0\ud558\uba74 \ub418\uc9c0\ub9cc, \ubb38\uc81c\ub294 \ud53c\uc790\ub97c \ub9cc\ub4dc\ub294\ub370 \uc2dc\uac04\uc774 \uc624\ub798\uac78\ub9b0\ub2e4\ub294 \uac83\uc774\ub2e4. \uc0ac\ub78c\ub4e4\uc774 \uac00\uc7a5 \uc88b\uc544\ud558\ub294 \ud53c\uc790\uc758 \ud1a0\ud551 \uc870\ud569\uc740 \uc0ac\ub78c\ub9c8\ub2e4 \ub2e4\ub974\ub2e4. \ub610, \ud604\uc8fc\ub124 \uac00\uac8c\uc5d0 \uc788\ub294 \uc624\ube10\uc740 \ub9e4\uc6b0 \uc791\uc544\uc11c \ud55c\ubc88\uc5d0 \ud53c\uc790 \ud558\ub098\ub9cc \uad6c\uc6b8 \uc218 \uc788\ub2e4. \ub530\ub77c\uc11c, \ud53c\uc790\ub97c \uad7d\ub294 \uc77c\uc815\uc744 \uc815\ud558\uae30 \uc704\ud574\uc11c \uc694\uc998&nbsp;\ub3d9\ud601\uc774\ub97c \uc601\uc785\ud558\uc600\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\ud601\uc774\ub294 \ub0a0\uc774 \uc2dc\uc791\ud558\uae30 \uc804\uc5d0 \ud53c\uc790\ub97c \ub9cc\ub4dc\ub294 \uc77c\uc815\uc744 \uc791\uc131\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub300\uc804\uc5d0\ub294 \ucd1d N\uba85\uc774 \uc0b4\uace0 \uc788\ub2e4. \ud604\uc8fc\ub294 \ubaa8\ub4e0 \uc0ac\ub78c\ub4e4\uc5d0\uac8c \uace0\uc720 \ubc88\ud638\ub97c \ubd99\uc5ec\uc8fc\uc5c8\uace0, \ubc88\ud638\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc774\ub2e4. \ub3d9\ud601\uc774\ub294 \uc77c\uc744 \uc2dc\uc791\ud558\uae30 \uc804\uc5d0 \ubbf8\ub9ac i\uac00 \uc88b\uc544\ud558\ub294 \ud53c\uc790\ub97c \ub9cc\ub4dc\ub294\ub370 \uac78\ub9ac\ub294 \uc2dc\uac04(T<sub>i<\/sub>)\uc744 \uc870\uc0ac\ud588\uace0, \uc810\uc2ec\uc744 \uba39\uae30 \uc6d0\ud558\ub294 \uc2dc\uac04(L<sub>i<\/sub>)\ub97c \uc870\uc0ac\ud588\ub2e4. \ub9cc\uc57d \ud53c\uc790\ub97c L<sub>i<\/sub>\ubcf4\ub2e4 K\ubd84 \ube60\ub978 \uc2dc\uac04\uc5d0 \ubc30\ub2ec\ud55c\ub2e4\uba74, \ud604\uc815\uc774\ub294&nbsp;\ud301\uc73c\ub85c K\uc6d0\uc744 \ubc1b\uac8c \ub41c\ub2e4. \ub610, K\ubd84 \ub2a6\uac8c \ubc30\ub2ec\ud55c\ub2e4\uba74, \ud604\uc815\uc774\ub294 K\uc6d0\uc744 \ube8f\uae30\uac8c \ub41c\ub2e4. \ud53c\uc790\uac00 \uc815\ud655\ud55c \uc2dc\uac04\uc5d0 \ub3c4\ucc29\ud55c\ub2e4\uba74, \ud301\ub3c4 \ubc1b\uc744 \uc218 \uc5c6\uace0, \ube8f\uae30\ub294 \ub3c8\ub3c4 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\ud601\uc774\ub294 \ud559\ube44\ub97c \ub0b4\ub290\ub77c \uace0\uc0dd\ud558\ub294 \ud604\uc815\uc774\ub97c \uc704\ud574\uc11c, \ud604\uc815\uc774\uac00 \ud301\uc744 \uac00\ub2a5\ud55c \ub9ce\uc774 \ubc1b\uac8c \uc77c\uc815\uc744 \uc791\uc131\ud558\ub824\uace0 \ud55c\ub2e4. \ubb3c\ub860, \ud604\uc815\uc774\uac00 \ubc1b\ub294 \ud301\uc740 \uc74c\uc218\uc77c \uc218\ub3c4 \uc788\ub2e4. \uc774\ub7ec\ud55c \uacbd\uc6b0\ub294 \ud53c\uc790\ub97c \ub2a6\uac8c \ubc30\ub2ec\ud574\uc11c \ubc8c\uae08\uc73c\ub85c \ub0b4\ub294 \ub3c8\uc774 \ub354 \ub9ce\uc744 \ub54c\uc774\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub7f0\ub370, \uac00\ub054 \ubcc0\ud654\ub97c \uc8fc\uae30 \uc704\ud574\uc11c \uc88b\uc544\ud558\ub294 \ud53c\uc790\ub97c \ubc14\uafb8\ub294 \uc0ac\ub78c\ub3c4 \uc788\ub2e4. \uc774\ub807\uac8c \uc88b\uc544\ud558\ub294 \ud53c\uc790\uac00 \ubc14\ub014 \ub54c\ub294, \uc6d0\ud558\ub294 \uc810\uc2ec \uc2dc\uac04\uc774 \ubcc0\ud560 \uc218\ub3c4 \uc788\ub2e4. \uc774\ub807\uac8c \uc2dc\ud0a4\ub824\ub294 \ud53c\uc790\ub97c \ubc14\uafb8\ub824\uba74, \uc2dc\uac04\uc774 0\uc77c \ub54c \ud604\uc8fc\ub124 \ud53c\uc790\uac00\uac8c\ub85c \uc804\ud654\ub97c \ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc2dc\uac04\uc774 0\uc778 \uc2dc\uac04\uc740 \ud53c\uc790\ub97c \uad7d\uae30 \uc2dc\uc791\ud558\uae30 \uc804\uae4c\uc9c0 \ubb34\ud55c\ud788 \uc9c0\uc18d\ub41c\ub2e4\uace0 \ud55c\ub2e4. \ub610, \ubaa8\ub4e0 \uc804\ud654\ub294 \uc2dc\uac04\uc774 0\uc778 \ub3d9\uc548 \uc628\ub2e4.<\/p>\r\n\r\n<p>\uac00\uc7a5 \uba3c\uc800 \uc6d0\ub798 \uc0ac\ub78c\ub4e4\uc774 \uc2dc\ud0a4\ub824\uace0 \ud55c \ud53c\uc790\uc758 \uc815\ubcf4\ub85c \uc77c\uc815\uc744 \uad6c\ud55c\ub2e4. \uadf8 \ub2e4\uc74c\uc5d0, \uc88b\uc544\ud558\ub294 \ud53c\uc790\ub97c \ubc14\uafb8\ub294 \uc804\ud654\uac00 \uc62c \ub54c \ub9c8\ub2e4, \uc77c\uc815\uc744 \ub2e4\uc2dc \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ub3d9\ud601\uc774\ub294 \ud604\uc815\uc774\uac00 \ubc1b\ub294 \ud301\uc774 \uac00\uc7a5 \ucee4\uc9c0\uac8c \uc77c\uc815\uc744 \uc791\uc131\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0ac\ub78c\uc758 \uc218 N\uacfc \ud604\uc8fc\uac00&nbsp;\ubc1b\uc740 \uc804\ud654\uc758 \uc218 C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\ubd80\ud130 N\uac1c\uc758 \uc904\uc5d0\ub294 i\uac00 \uc810\uc2ec\uc744 \uba39\ub294 \uc2dc\uac04 L<sub>i<\/sub>\uc640 \uadf8\uac00 \uc88b\uc544\ud558\ub294 \ud53c\uc790\ub97c \uad7d\ub294\ub370 \ub4dc\ub294 \uc2dc\uac04 T<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c C\uac1c \uc904\uc5d0\ub294 \uc138 \uc815\uc218 R(\uc804\ud654\ub97c \uac74 \uc0ac\ub78c\uc758 \ubc88\ud638), L(R\uc774 \uc810\uc2ec\uc744 \uba39\uc744 \uc0c8\ub85c\uc6b4 \uc2dc\uac04), T(R\uc774 \uc88b\uc544\ud558\ub294 \ud53c\uc790\ub97c \uad7d\ub294\ub370 \ub4dc\ub294 \uc2dc\uac04)\uc774 \uc804\ud654\uac00 \uc628 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc544\ubb34 \uc804\ud654\ub3c4 \ubc1b\uc9c0 \uc54a\uc558\uc744 \ub54c, \ud604\uc815\uc774\uac00&nbsp;\ubc1b\uac8c\ub418\ub294 \ucd5c\ub300 \ud301\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\ubd80\ud130 C\uac1c \uc904\uc5d0\ub294, \uac01 \uc804\ud654\uc5d0 \uc758\ud574\uc11c \ubcc0\uacbd\ub418\ub294 \uc77c\uc815\uc5d0\uc11c \ud604\uc815\uc774\uac00 \ubc1b\uac8c\ub418\ub294 \ucd5c\ub300 \ud301\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>1 &le; N,C &le; 200,000<\/li>\r\n\t<li>0 &le; L<sub>i<\/sub>, L &le; 100,000<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub>, T &le; 100,000<\/li>\r\n\t<li>1 &le; R &le; N<\/li>\r\n<\/ul>\r\n"},{"problem_id":"2827","problem_lang":"1","title":"RASPORED","description":"<p>Mirko&rsquo;s pizza place is the best one in town. It is so good that all town residents eat pizza for lunch every day. Mirko&rsquo;s delivery service is so fast that the delivery time is negligible. The problem is baking the pizzas, since all residents have their own favourite topping combination, so baking pizzas for two different residents doesn&rsquo;t always take the same amount of time. Mirko only has one small baking oven with a capacity of a single pizza at a time, so good scheduling is extremely important and must be determined before the day starts.&nbsp;<\/p>\r\n\r\n<p>For each of the N town residents (denoted by numbers from 1 to N) we know the baking duration for their favourite pizza (Ti), as well as the moment in the day when they plan on having lunch (Li). If a resident receives their pizza K moments before the planned lunch time, Mirko is rewarded with a tip of K kunas. On the other hand, if the pizza is delivered K moments late (after the planned lunch time), Mirko must pay the resident K kunas (because of his timely delivery insurance policy). If the pizza is delivered precisely on time, Mirko won&rsquo;t get a tip, but he doesn&rsquo;t have to pay anything either.&nbsp;<\/p>\r\n\r\n<p>Mirko would like to know the maximum total tip (including all insurance payouts as negative tips) that can be earned in a day if pizzas are baked in an optimal order. Notice that Mirko can earn a negative total tip (if he has to pay out more insurance than the amount of tips he receives).&nbsp;<\/p>\r\n\r\n<p>Since residents sometimes change their favourite pizza toppings, as well as their preferred lunch time, Mirko&rsquo;s schedule must be adapted in order to keep earning optimal tip amounts. Write a program to compute the maximum total tip for the beginning requirements, as well as after each change.&nbsp;<\/p>\r\n\r\n<p>Note: In this town, the day starts at the moment t = 0 and lasts much longer than the time needed to bake pizzas for all residents. The schedule, including the adaptations, must be determined before the day starts.&nbsp;<\/p>\r\n","input":"<p>The first line of input contains two positive integers N and C, the number of residents and the number of pizza requirement changes, respectively.&nbsp;<\/p>\r\n\r\n<p>Each of the next N lines contains two positive integers: Li, the moment when resident i plans on having lunch, and Ti, the time needed to bake the pizza for resident i.&nbsp;<\/p>\r\n\r\n<p>Each of the next C lines contains three positive integers: R (the index of a resident), L (the new moment when resident R plans on having lunch), and T (the time needed to bake resident R&rsquo;s new favourite pizza).&nbsp;<\/p>\r\n","output":"<p>The first line of output must contain the maximum total tip for the beginning requirements of the residents.&nbsp;<\/p>\r\n\r\n<p>For each of the C changes, the output must contain an additional line of output containing the new maximum total tip value after the change.<\/p>\r\n","hint":"<p>First sample description: The optimal pizza baking schedule is (1, 3, 2). That way, the first pizza will be finished at the moment t = 2, the third one at t = 5, and the second one at t = 10. The first pizza will be delivered 8 moments early (8 kunas tip), the second one will be 1 moment late (-1 kuna), and the third one will be 4 moments late (-4 kunas), so the total tip is 3 kunas. When the first resident changes requirements, the optimal schedule remains unchanged, while the tips change to 5, 0, and -3, respectively. After the second requirement change, the optimal schedule is (1, 2, 3), while the tips are 5, 0, and -16, respectively.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; N, C &le; 200 000,&nbsp;<\/li>\r\n\t<li>0 &le; L<sub>i<\/sub>, L &le; 100 000,&nbsp;<\/li>\r\n\t<li>1 &le; T<sub>i<\/sub>, T &le; 100 000,&nbsp;<\/li>\r\n\t<li>1 &le; R &le; N.<\/li>\r\n<\/ul>\r\n"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2011/2012 > Contest #2 6번