시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

도윤이는 작은 마을에 살았다. 옆집에는 시형이가 살았고, 둘은 떼어놓을 수 없는 절친이다.

어느 날, 그들이 싸웠다. 시형이가 도윤이의 지하실에서 라키아 술과 닭장에서 달걀을 훔치는 것을 도윤이가 봤기 때문이다.

다음 날 아침에 일어났을 때, 시형이는 매우 놀랐다. 어제 밤에 도윤이가 둘의 집 사이에 울타리를 친 것을 봤기 때문이다. 도윤이의 울타리는 일렬로 나열된 다양한 높이의 판자로 이루어져 있다.

분노한 시형이는 도윤이의 울타리의 꼴도 보기 싫어서, 도윤이의 울타리 앞, 자기 쪽 마당에 더 큰 울타리를 짓기로 결심했다. 시형이는 도윤이의 판자를 가릴 자신의 판자를 도윤이의 판자 앞에 놓을 것이다. 즉, 도윤이의 판자 이상의 높이를 가진 판자를 그 앞에 세우겠다는 것이다.

하지만 시형이는 거지라서 집에 판자가 하나도 없다. 판자를 훔치는 것을 깜빡한 모양이다. 그래서 그는 제재소에서 일하는 그의 친구 태우를 불렀다. 태우는 판자를 가져왔는데, 각각의 보드는 높이와 가격이 달랐다. 불행하게도, 시형이와 태우가 울타리를 세우기 시작할 때, 그들은 판자가 짧아서 도윤이의 울타리를 못 덮을 수도 있다는 것을 알아차렸다. 어쨌든 그들은 울타리를 그냥 짓기로 했지만, 시형이는 도윤이의 판자를 덮는 것을 성공한 판자에 대해서만 태우에게 돈을 지불하기로 했다.

예를 들어, 높이가 4인 도윤이 판자의 앞에 높이가 3인 판자를 세우면 태우는 그 판자의 비용을 시형이에게서 받을 수 없다. 한편 높이가 3인 도윤이 판자의 앞에 높이가 5인 판자를 세우면 태우는 그 판자의 비용을 받을 수 있다.

태우가 싫지 않다면, 태우가 최대한 많은 돈을 받을 수 있도록 도와주자.

입력

첫 줄에 도윤이의 판자 개수를 나타내는 정수 N이 주어진다. 1 ≤ N ≤ 100,000 이다.

둘째 줄에는 각각의 도윤이의 판자 높이를 나타내는 N개의 정수들이 주어진다. 높이는 1이상 10,000 이하이다.

뒤따르는 N개 줄에는 각각 2개의 수가 들어있다. 첫 번째 수는 태우가 가져온 판자의 높이이고, 두 번째 수는 가격이다. 높이와 가격은 1이상 10,000 이하이다.

태우의 판자는 입력받는 순서대로 1번부터 N번까지 번호가 매겨진다.

출력

첫 줄에는 태우가 시형이에게 받을 수 있는 최대 금액을 출력한다.

둘째 줄에는 도윤이의 울타리 앞에 놓을 판자의 번호를 순서대로 출력한다. 예를 들어 3번, 1번, 2번 판자를 순서대로 세운다면 3 1 2 를 출력한다.

참고: 최적의 배치 순서는 유일하지 않을 수 있다.

예제 입력 1

5
400 200 500 600 400
200 400
300 600
400 200
500 800
600 100

예제 출력 1

1700
4 2 1 5 3

예제 입력 2

8
70 40 80 70 50 60 20 30
30 10
30 20
30 25
60 15
60 5
50 30
40 5
40 5

예제 출력 2

95
8 6 1 7 5 4 2 3
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Slavko&#39;s fence consists of N boards of varying heights placed in one row.&nbsp;<\/p>\r\n\r\n<p>Mirko, furious, decided to build an even bigger fence on his side, in front of Slavko&#39;s, so he doesn&#39;thave to look at Slavko&#39;s fence. In front of each of Slavko&#39;s N boards he wants to put one of his own which will cover Slavko&#39;s board (in other words, he wants each of his boards to be at least as high as Slavko&#39;s board it is in front of).&nbsp;<\/p>\r\n\r\n<p>But Mirko doesn&#39;t have any boards at home (he forgot to steal them from Slavko) so he called his friend Lea who (conveniently) works in a sawmill. Lea brought N boards; each of the boards has a height and price. Unfortunately, when they started raising the fence, they noticed that Lea&#39;s boards may not be high enough to cover entire Slavko&#39;s fence. So they agreed they will build the fence anyway, but Mirko will pay only those boards which will cover Slavko&#39;s boards.&nbsp;<\/p>\r\n\r\n<p>Write a program which will help Lea arrange the boards and make the largest possible profit.&nbsp;<\/p>\r\n","input":"<p>The first line contains an integer N (1 &le; N &le; 100 000), the number of boards in Slavko&#39;s fence.&nbsp;<\/p>\r\n\r\n<p>The second line contains N integers, the heights of the boards in Slavko&#39;s fence. The height of each board is between 1 and 10 000, inclusive.&nbsp;<\/p>\r\n\r\n<p>Each of the following N lines contains two integers, the height and price of one board which Lea brought. 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So the first number is the index of Lea&#39;s board they will put in front of Slavko&#39;s first board, and so on.&nbsp;<\/p>\r\n\r\n<p>Note: the optimal arrangement of the boards may not be unique.&nbsp;<\/p>\r\n","hint":"<p>Clarification for first example: the heights of the boards which Mirko puts in front of Slavko&#39;s fence are in order 500, 300, 200, 600 i 400. Lea gets 800, 600, 0, 100 and 200 for them.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Olympiad > Croatian Highschool Competitions in Informatics > 2007 > National Competition #1 - Seniors 3번