시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 256 MB 118 44 32 32.990%

문제

GSHS 앞에 있는 모 편의점에서 허니버터칩을 무료로 나눠주는 행사를 진행하고 있다! 재현이는 이 기회를 놓칠 수 없어서 무단외출을 감수하고 편의점으로 달려갔다.

편의점에는 N봉지의 허니버터칩이 좌에서 우로 나열되어 있으며, 이 중 i번째 봉지는 Ai개의 과자를 가지고 있다. 추가적으로 M개의 봉지가 더 제공되며, 이 중 i번째 봉지는 Bi개의 과자를 가지고 있다. (봉지가 다 비슷해보이지만 실제 안에 들어 있는 과자의 개수는 천차만별이다)

재현이는 먼저 좌에서 우로 나열되어 있는 N봉지의 허니버터칩 사이에 M개의 봉지를 아무 곳에나 (시작점, 끝점, 봉지 사이) 끼워 넣을 수 있다. 이렇게 되면 N+M 개의 봉지가 좌에서 우로 나열되며 초기의 N 봉지는 상대적 순서를 유지하는 형태가 될 것이다.

재현이는 이렇게 만들어 놓은 리스트를 좌에서 우로 순서대로 걸어가면서 뽑아간다. 재현이는 리스트에 있는 과자를 고를 수도 있고, 안 고를 수도 있지만, 재현이의 걸음이 빠른 편이기 때문에 만약에 과자 한봉지를 가져갔다면 그 다음 과자는 절대 가져갈 수 없다. 다른 말로 하면, 리스트에서 연속된 과자를 고를 수 없다.

재현이가 허니버터칩을 가장 많이 가져갈 수 있도록, 재현이를 도와주자!

입력

첫 번째 줄에는 N이 주어진다. 이후 N개의 줄에 Ai가 주어진다. (1 ≤ N ≤ 3,000, 1 ≤ Ai ≤ 100,000)

N+2번째 줄에는 M이 주어진다. 이후 M개의 줄에 Bi가 주어진다. (0 ≤ M ≤ 100, 1 ≤ Bi ≤ 100,000)

출력

재현이가 최대로 가져갈 수 있는 허니버터칩의 개수를 출력하라.

예제 입력 1

5
10
12
6
14
7
3
1
8
2

예제 출력 1

44

힌트

10, 1, 12, 2, 8, 6, 14, 7의 순서가 최적이다.

[{"problem_id":"10777","problem_lang":"0","title":"\ud5c8\ub2c8\ubc84\ud130\uce69","description":"<p>GSHS \uc55e\uc5d0 \uc788\ub294 \ubaa8 \ud3b8\uc758\uc810\uc5d0\uc11c \ud5c8\ub2c8\ubc84\ud130\uce69\uc744 \ubb34\ub8cc\ub85c \ub098\ub220\uc8fc\ub294 \ud589\uc0ac\ub97c \uc9c4\ud589\ud558\uace0 \uc788\ub2e4! \uc7ac\ud604\uc774\ub294 \uc774 \uae30\ud68c\ub97c \ub193\uce60 \uc218 \uc5c6\uc5b4\uc11c \ubb34\ub2e8\uc678\ucd9c\uc744 \uac10\uc218\ud558\uace0 \ud3b8\uc758\uc810\uc73c\ub85c \ub2ec\ub824\uac14\ub2e4.<\/p>\r\n\r\n<p>\ud3b8\uc758\uc810\uc5d0\ub294 N\ubd09\uc9c0\uc758 \ud5c8\ub2c8\ubc84\ud130\uce69\uc774 \uc88c\uc5d0\uc11c \uc6b0\ub85c \ub098\uc5f4\ub418\uc5b4 \uc788\uc73c\uba70, \uc774 \uc911 i\ubc88\uc9f8 \ubd09\uc9c0\ub294 A<sub>i<\/sub>\uac1c\uc758 \uacfc\uc790\ub97c \uac00\uc9c0\uace0 \uc788\ub2e4. \ucd94\uac00\uc801\uc73c\ub85c M\uac1c\uc758 \ubd09\uc9c0\uac00 \ub354 \uc81c\uacf5\ub418\uba70, \uc774 \uc911 i\ubc88\uc9f8 \ubd09\uc9c0\ub294 B<sub>i<\/sub>\uac1c\uc758 \uacfc\uc790\ub97c \uac00\uc9c0\uace0 \uc788\ub2e4. (\ubd09\uc9c0\uac00 \ub2e4 \ube44\uc2b7\ud574\ubcf4\uc774\uc9c0\ub9cc \uc2e4\uc81c \uc548\uc5d0 \ub4e4\uc5b4 \uc788\ub294 \uacfc\uc790\uc758 \uac1c\uc218\ub294 \ucc9c\ucc28\ub9cc\ubcc4\uc774\ub2e4)<\/p>\r\n\r\n<p>\uc7ac\ud604\uc774\ub294 \uba3c\uc800 \uc88c\uc5d0\uc11c \uc6b0\ub85c \ub098\uc5f4\ub418\uc5b4 \uc788\ub294 N\ubd09\uc9c0\uc758 \ud5c8\ub2c8\ubc84\ud130\uce69 \uc0ac\uc774\uc5d0 M\uac1c\uc758 \ubd09\uc9c0\ub97c \uc544\ubb34 \uacf3\uc5d0\ub098 (\uc2dc\uc791\uc810, \ub05d\uc810, \ubd09\uc9c0 \uc0ac\uc774) \ub07c\uc6cc \ub123\uc744 \uc218 \uc788\ub2e4. \uc774\ub807\uac8c \ub418\uba74 N+M \uac1c\uc758 \ubd09\uc9c0\uac00 \uc88c\uc5d0\uc11c \uc6b0\ub85c \ub098\uc5f4\ub418\uba70 \ucd08\uae30\uc758 N \ubd09\uc9c0\ub294 \uc0c1\ub300\uc801 \uc21c\uc11c\ub97c \uc720\uc9c0\ud558\ub294 \ud615\ud0dc\uac00 \ub420 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc7ac\ud604\uc774\ub294 \uc774\ub807\uac8c \ub9cc\ub4e4\uc5b4 \ub193\uc740 \ub9ac\uc2a4\ud2b8\ub97c \uc88c\uc5d0\uc11c \uc6b0\ub85c \uc21c\uc11c\ub300\ub85c \uac78\uc5b4\uac00\uba74\uc11c \ubf51\uc544\uac04\ub2e4. \uc7ac\ud604\uc774\ub294 \ub9ac\uc2a4\ud2b8\uc5d0 \uc788\ub294 \uacfc\uc790\ub97c \uace0\ub97c \uc218\ub3c4 \uc788\uace0, \uc548 \uace0\ub97c \uc218\ub3c4 \uc788\uc9c0\ub9cc, \uc7ac\ud604\uc774\uc758 \uac78\uc74c\uc774 \ube60\ub978 \ud3b8\uc774\uae30 \ub54c\ubb38\uc5d0 \ub9cc\uc57d\uc5d0 \uacfc\uc790 \ud55c\ubd09\uc9c0\ub97c \uac00\uc838\uac14\ub2e4\uba74 \uadf8 \ub2e4\uc74c \uacfc\uc790\ub294 \uc808\ub300 \uac00\uc838\uac08 \uc218 \uc5c6\ub2e4. \ub2e4\ub978 \ub9d0\ub85c \ud558\uba74, \ub9ac\uc2a4\ud2b8\uc5d0\uc11c \uc5f0\uc18d\ub41c \uacfc\uc790\ub97c \uace0\ub97c \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc7ac\ud604\uc774\uac00 \ud5c8\ub2c8\ubc84\ud130\uce69\uc744 \uac00\uc7a5 \ub9ce\uc774 \uac00\uc838\uac08 \uc218 \uc788\ub3c4\ub85d, \uc7ac\ud604\uc774\ub97c \ub3c4\uc640\uc8fc\uc790!<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ud6c4 N\uac1c\uc758 \uc904\uc5d0 A<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 3,000, 1 &le; A<sub>i<\/sub> &le; 100,000)<\/p>\r\n\r\n<p>N+2\ubc88\uc9f8 \uc904\uc5d0\ub294 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ud6c4 M\uac1c\uc758 \uc904\uc5d0 B<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (0 &le; M &le; 100, 1 &le; B<sub>i<\/sub> &le; 100,000)<\/p>\r\n","output":"<p>\uc7ac\ud604\uc774\uac00 \ucd5c\ub300\ub85c \uac00\uc838\uac08 \uc218 \uc788\ub294 \ud5c8\ub2c8\ubc84\ud130\uce69\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","hint":"<p>10, 1, 12, 2, 8, 6, 14, 7\uc758 \uc21c\uc11c\uac00 \ucd5c\uc801\uc774\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10777","problem_lang":"1","title":"Greedy For Pies","description":"<p>The local pie shop is offering a promotion - all-you-can-eat pies! Obviously, you can&rsquo;t pass up this offer.<\/p>\r\n\r\n<p>The shop lines up N pies from left to right - the ith pie contains Ai grams of sugar. Additionally, another M pies are provided - the ith of these contains Bi grams of sugar.<\/p>\r\n\r\n<p>You are first allowed to insert each of the M pies from the second group anywhere into the first list of N pies, such as at its start or end, or in between any two pies already in the list. The result will be a list of N + M pies with the constraint that the initial N pies are still in their original relative order.<\/p>\r\n\r\n<p>Following this, you are allowed to take one walk along the new line of pies from left to right, to pick up your selection of all-you-can-eat pies! When you arrive at a pie, you may choose to add it to your pile, or skip it. However, because you&rsquo;re required to keep moving, if you pick up a certain pie, you will not be able to also pick up the pie immediately after it (if any). In other words, you cannot eat consecutive pies in this combined list.<\/p>\r\n\r\n<p>Being a pie connoisseur, your goal is to maximize the total amount of sugar in the pies you pick up from the line. How many grams can you get?<\/p>\r\n","input":"<p>The first line of input contains the integer N (1 &le; N &le; 3000). The next N lines contain one integer A<sub>i<\/sub> (1 &le; A<sub>i<\/sub> &le; 10<sup>5<\/sup>), describing the integer number of grams of sugar in pie i in the group of N pies.<\/p>\r\n\r\n<p>The next line contains M (0 &le; M &le; 100), the number of pies in the second list. The next M lines contain one integer B<sub>i<\/sub> (1 &le; B<sub>i<\/sub> &le; 10<sup>5<\/sup>), describing the integer number of grams of sugar in pie i in the group of M pies.<\/p>\r\n\r\n<p>For 20% of the marks for this question, M = 0. For another 20% of the marks for this question M = 1. For another 20% of the marks for this question M &le; 10.<\/p>\r\n","output":"<p>Output the maximum number of grams of sugar in all the pies that you are able to pick up.<\/p>\r\n","hint":"<p>Place the pies in the order<\/p>\r\n\r\n<p style=\"text-align: center;\">10, 1, 12, 2, 8, 6, 14, 7<\/p>\r\n\r\n<p>(that is, insert the pie with 1 gram of sugar between 10 and 12, and insert pies with 2 and 8 grams of sugar, in that order, between pies 12 and 6). Then, we can grab 10 + 12 + 8 + 14 = 44 grams of sugar, which is maximal.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > Canadian Computing Competition & Olympiad > 2015 > CCC 2015 Senior Division 5번

  • 문제를 번역한 사람: koosaga
  • 잘못된 조건을 찾은 사람: topology