시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 512 MB 9 8 8 88.889%

문제

 

일렬로 된 보드가 있다. 맨 왼쪽은 시작점이고, 맨 오른쪽에는 별이 있다. 매 턴마다 플레이어는 1부터 S까지의 자연수가 균일한 확률로 나오는 주사위를 굴린 뒤 나온 수만큼 앞으로 이동한다. 플레이어가 멈춘 칸에는 숫자가 쓰여 있는데, 거기에 쓰인 만큼 (양수일 때) 코인을 얻거나 (음수일 때) 잃는다. T턴이 지나면 게임이 종료된다.

 

예를 들어 보드가 위와 같고, S=4, T=5라고 하자. 주사위를 굴려서 2, 3, 4, 1, 1이 나오면 총 수익은 170코인이 된다. 반면 주사위를 굴려서 1, 3, 2, 4, 1이 나오면 총 수익은 220코인이 된다. 꼭 별이 있는 칸에 정확히 멈출 필요는 없다. 별이 있는 칸을 지나가면 별을 얻을 수 있기 때문이다.

보드가 안 좋아서 총 수익이 음수가 되어야만 별을 얻을 수도 있다. 아래 보드 (S=4, T=5)의 경우 별을 얻을 때의 최대 수익은 -100코인이다. 하지만 별을 많이 얻는 것이 중요하기 때문에, 플레이어는 코인을 잃는 한이 있어도 별을 얻고 싶어한다.

 


T턴 이내에 별을 얻고자 할 때, 최대 수익은 얼마일까?

입력

입력은 20개 이하의 테스트케이스로 구성되어 있고, 맨 끝에 0이 온다. 각 테스트케이스의 첫 줄에는 N (출발점과 별 사이의 칸 수), S, T가 주어진다. 2 ≤ N ≤ 200, 2 ≤ S ≤ 10, N + 1 ≤ ST, T ≤ N + 1이다. 따라서 T턴 이내에 별을 먹는 방법이 꼭 존재한다.

첫 줄 다음에는 여러 줄에 걸쳐 N개의 정수가 주어진다. 각 칸에 도착할 때 얻거나 잃는 코인의 수를 나타낸다. 이 값의 절댓값은 10000보다 작다.

출력

각 테스트케이스에 대해 T턴 이내에 별을 얻을 때의 최대 수익을 출력한다.

예제 입력 1

10 4 5
100 50 -20 60 30
-10 -30 -50 20 70
9 3 4
150 100 -200
-100 -300 -100
-200 100 150
0

예제 출력 1

220
-100
[{"problem_id":"14550","problem_lang":"0","title":"\ub9c8\ub9ac\uc624 \ud30c\ud2f0","description":"<p><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/14550\/1.png\" style=\"height:77px; width:493px\" \/><\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p>\uc77c\ub82c\ub85c \ub41c \ubcf4\ub4dc\uac00 \uc788\ub2e4. \ub9e8 \uc67c\ucabd\uc740 \uc2dc\uc791\uc810\uc774\uace0, \ub9e8 \uc624\ub978\ucabd\uc5d0\ub294 \ubcc4\uc774 \uc788\ub2e4. \ub9e4 \ud134\ub9c8\ub2e4 \ud50c\ub808\uc774\uc5b4\ub294 1\ubd80\ud130 S\uae4c\uc9c0\uc758 \uc790\uc5f0\uc218\uac00 \uade0\uc77c\ud55c \ud655\ub960\ub85c \ub098\uc624\ub294 \uc8fc\uc0ac\uc704\ub97c \uad74\ub9b0 \ub4a4 \ub098\uc628 \uc218\ub9cc\ud07c \uc55e\uc73c\ub85c \uc774\ub3d9\ud55c\ub2e4. \ud50c\ub808\uc774\uc5b4\uac00 \uba48\ucd98 \uce78\uc5d0\ub294 \uc22b\uc790\uac00 \uc4f0\uc5ec \uc788\ub294\ub370, \uac70\uae30\uc5d0 \uc4f0\uc778 \ub9cc\ud07c (\uc591\uc218\uc77c \ub54c) \ucf54\uc778\uc744 \uc5bb\uac70\ub098 (\uc74c\uc218\uc77c \ub54c) \uc783\ub294\ub2e4. T\ud134\uc774 \uc9c0\ub098\uba74 \uac8c\uc784\uc774 \uc885\ub8cc\ub41c\ub2e4.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 \ubcf4\ub4dc\uac00 \uc704\uc640 \uac19\uace0, S=4, T=5\ub77c\uace0 \ud558\uc790. \uc8fc\uc0ac\uc704\ub97c \uad74\ub824\uc11c 2, 3, 4, 1, 1\uc774 \ub098\uc624\uba74 \ucd1d \uc218\uc775\uc740 170\ucf54\uc778\uc774 \ub41c\ub2e4. \ubc18\uba74 \uc8fc\uc0ac\uc704\ub97c \uad74\ub824\uc11c 1, 3, 2, 4, 1\uc774 \ub098\uc624\uba74 \ucd1d \uc218\uc775\uc740 220\ucf54\uc778\uc774 \ub41c\ub2e4. \uaf2d \ubcc4\uc774 \uc788\ub294 \uce78\uc5d0 \uc815\ud655\ud788 \uba48\ucd9c \ud544\uc694\ub294 \uc5c6\ub2e4. \ubcc4\uc774 \uc788\ub294 \uce78\uc744 \uc9c0\ub098\uac00\uba74 \ubcc4\uc744 \uc5bb\uc744 \uc218 \uc788\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubcf4\ub4dc\uac00 \uc548 \uc88b\uc544\uc11c \ucd1d \uc218\uc775\uc774 \uc74c\uc218\uac00 \ub418\uc5b4\uc57c\ub9cc \ubcc4\uc744 \uc5bb\uc744 \uc218\ub3c4 \uc788\ub2e4. \uc544\ub798 \ubcf4\ub4dc (S=4, T=5)\uc758 \uacbd\uc6b0 \ubcc4\uc744 \uc5bb\uc744 \ub54c\uc758 \ucd5c\ub300 \uc218\uc775\uc740 -100\ucf54\uc778\uc774\ub2e4. \ud558\uc9c0\ub9cc \ubcc4\uc744 \ub9ce\uc774 \uc5bb\ub294 \uac83\uc774 \uc911\uc694\ud558\uae30 \ub54c\ubb38\uc5d0, \ud50c\ub808\uc774\uc5b4\ub294 \ucf54\uc778\uc744 \uc783\ub294 \ud55c\uc774 \uc788\uc5b4\ub3c4 \ubcc4\uc744 \uc5bb\uace0 \uc2f6\uc5b4\ud55c\ub2e4.<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/14550\/2.png\" style=\"height:68px; width:460px\" \/><\/p>\r\n\r\n<p><br \/>\r\nT\ud134 \uc774\ub0b4\uc5d0 \ubcc4\uc744 \uc5bb\uace0\uc790 \ud560 \ub54c, \ucd5c\ub300 \uc218\uc775\uc740 \uc5bc\ub9c8\uc77c\uae4c?<\/p>\r\n","input":"<p>\uc785\ub825\uc740 20\uac1c \uc774\ud558\uc758 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\uace0, \ub9e8 \ub05d\uc5d0 0\uc774 \uc628\ub2e4. \uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d0\ub294 N (\ucd9c\ubc1c\uc810\uacfc \ubcc4 \uc0ac\uc774\uc758 \uce78 \uc218), S, T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. 2 &le; N &le; 200, 2 &le; S &le; 10, N + 1 &le; ST, T &le; N + 1\uc774\ub2e4. \ub530\ub77c\uc11c T\ud134 \uc774\ub0b4\uc5d0 \ubcc4\uc744 \uba39\ub294 \ubc29\ubc95\uc774 \uaf2d \uc874\uc7ac\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uccab \uc904 \ub2e4\uc74c\uc5d0\ub294 \uc5ec\ub7ec \uc904\uc5d0 \uac78\uccd0 N\uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uce78\uc5d0 \ub3c4\ucc29\ud560 \ub54c \uc5bb\uac70\ub098 \uc783\ub294 \ucf54\uc778\uc758 \uc218\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc774 \uac12\uc758 \uc808\ub313\uac12\uc740 10000\ubcf4\ub2e4 \uc791\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 T\ud134 \uc774\ub0b4\uc5d0 \ubcc4\uc744 \uc5bb\uc744 \ub54c\uc758 \ucd5c\ub300 \uc218\uc775\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"14550","problem_lang":"1","title":"RIPOFF","description":"<p>Business has been slow at Gleamin&rsquo; Lemon Used Auto Sales. In an effort to bring in new customers, management has created the Rebate Incentive Program Of Fabulous Fun (or RIPOFF). This is a simple game which allows customers to try and win a rebate on an automobile purchase. The RIPOFF game is a board game where each square is labeled with a rebate amount. The customer advances through the board by spinning a spinner. Each square he lands on adds to his total rebate amount. When he reaches the end of the board he is rewarded with the total rebate amount.<\/p>\r\n\r\n<p>Of course, given the company involved, it should come as no surprise that there are a couple of catches written in the fine print. The first is that there is a limit to the number of turns the customer has to finish the game; if he doesn&rsquo;t reach the end within the allotted number of turns then he loses his rebate. The second is that some of the squares actually have a negative amount which subtract from the rebate instead of adding to it. A particularly unlucky customer might even come out of the game with a negative rebate.<\/p>\r\n\r\n<p>Even with these catches, the management of Gleamin&rsquo; Lemon is concerned that someone might win a particularly large rebate&mdash;something they would like to avoid at all costs. Your job is to take a particular configuration for the RIPOFF game and decide the maximum rebate a customer could possibly obtain.<\/p>\r\n\r\n<p>Consider, for example, the game board below. Assume we have 5 turns to finish the game, and each turn we can move between 1 and 4 spaces depending on what we spin. Notice that we must start just before the board begins, so spinning a 1 causes us to land on the first square. Also notice we must end by landing past the end of the last square. It does not have to be exact; any number that gets us off of the board will work.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/14550\/1.png\" style=\"height:77px; width:493px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure 1<\/p>\r\n\r\n<p>The illustration shows two different possible ways the game might go. Following the arrows on the top, if we spin a 2, 3, 4, 1, and 1 respectively, we will win a total rebate of 50 + 30 + 20 + 70 = $170. However, the best possible rebate we could win would be $220. We would win this amount if we spun a 1, 3, 2, 4, and 1 respectively, as shown by the lower path. Notice that we did not land on every square with a positive number; if we had we wouldn&rsquo;t have been able to make it to the end of the board before the 5 turns was up.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/14550\/2.png\" style=\"height:68px; width:460px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure 2<\/p>\r\n\r\n<p>The illustration in Figure 2 shows a game where we have 4 turns to finish the game, and can move up to 3 spaces each turn. Again, two different paths are shown, the one on top earning a rebate of -$150, and the one on bottom earning a rebate of -$100. In fact, -$100 is the highest possible rebate we could earn for this game (a fact that would no doubt please the management of Gleamin&rsquo; Lemon). Of course, there also might be a sequence of moves in which we do not reach the end before the turn limit&mdash;e.g. spinning a 1 every time. Although not finishing would actually be preferable to finishing with a negative rebate, in this problem we are only going to consider sequences of moves which allow us to reach the end before the turn limit.<\/p>\r\n","input":"<p>The input consists of one to twenty data sets, followed by a line containing only 0. The first line of a data set contains three space separated integers N S T, where<\/p>\r\n\r\n<ul>\r\n\t<li>N is the total number of squares on the board, 2 &le; N &le; 200.<\/li>\r\n\t<li>S is the maximum number of spaces you may advance in each turn, 2 &le; S &le; 10.<\/li>\r\n\t<li>T is the maximum number of turns allowed, where N + 1 &le; ST and T &le; N + 1.<\/li>\r\n<\/ul>\r\n\r\n<p>The data set ends with one or more lines containing a total of N integers, the numbers on the board. Each number has magnitude less than 10000.<\/p>\r\n","output":"<p>The output for each data set is one line containing only the maximum possible rebate that can be earned by completing the game.<\/p>\r\n\r\n<p>To complete the game you must advance a total of N + 1 spaces in at most T turns, each turn advancing from 1 to S spaces inclusive. It will always be possible to complete a game. However, there may be a very large number of different turn sequences that will finish, so you will need to be careful in choosing your algorithm.<\/p>\r\n\r\n<p>The sample input data corresponds to the games in the Figures.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_code":"\uc601\uc5b4"}]