시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 512 MB 93 64 48 68.571%

문제

JOI 군과 IOI 양은 쌍둥이 남매이다. JOI 군은 최근 과자 만들기에 푹 빠졌기 때문에, JOI 군은 오늘도 케이크를 만들어서 먹으려고 했지만, 막 구워진 참에 냄새를 맡고 온 IOI 양이 왔기 때문에 두 명이 케이크를 나누어 먹기로 했다.

케이크는 둥그런 모양을 하고 있다. 어느 점에서부터 직선으로 칼집을 넣어 케이크를 N 개의 조각으로 나눈 뒤, 각 조각마다 1부터 N 까지 반시계방향으로 번호를 매긴다. 즉, 1 ≦ i ≦ N에 대해, i 번째 조각은 i - 1 번째와 i + 1 번째 조각과 인접해있다. (단, 0번째는 N 번째, N + 1 번째는 1번째로 간주한다). i 번째 조각의 크기는 Ai 이지만, 칼질이 서툴러 Ai가 모두 다른 값을 가지게 되었다.

그림 1 : 케이크의 예 (N = 5, A1 = 2, A2 = 8, A3 = 1, A4 = 10, A5 = 9)

이 N개를 JOI 군과 IOI 양이 나누기로 하였다. 나누는 방법은 다음과 같다.

  1. 먼저, JOI 군이 N 개의 조각 중 원하는 것 하나를 가져간다.
  2. 그 뒤, IOI 양으로부터 시작해 IOI 양과 JOI 군은 번갈아가며 남은 조각을 하나씩 가져간다. 단, 인접한 조각 중 하나 이상의 조각이 이미 선택된 경우에만 가져갈 수 있다. 가져갈 수 있는 조각이 여러 개 있을 때엔, IOI 양은 그 중 가장 큰 조각을 가져가고, JOI 군은 원하는 조각을 가져갈 수 있다.

JOI 군은 자신이 가져온 조각들 크기의 합을 최대화하고 싶다.

케이크의 조각 수 N 과, N 개의 조각의 크기에 대한 정보가 주어질 때, JOI 군이 가져올 수 있는 조각들의 합계의 최대치를 구하는 프로그램을 작성하시오.

입력

표준입력으로부터 이하의 입력이 주어진다.

  • 첫 번째 줄에는 케이크가 N 개의 조각으로 나뉘어 있음을 나타내는 정수 N이 주어진다.
  • 이어지는 N 열 중 i 열 (1 ≦ i ≦ N) 에는 i 번째 조각의 크기를 나타내는 정수 Ai가 적혀있다.

모든 입력 데이터는 아래의 조건을 만족한다.

  • 1 ≦ N ≦ 2 000.
  • 1 ≦ Ai ≦ 1 000 000 000.
  • Ai 모두 다른 값을 갖는다.

출력

JOI 군이 가져올 수 있는 조각들의 합계의 최대치를 한 줄로 출력하시오.

예제 입력 1

5
2
8
1
10
9

예제 출력 1

18

예제 입력 2

8
1
10
4
5
6
2
9
3

예제 출력 2

26

예제 입력 3

15
182243672
10074562
977552215
122668426
685444213
3784162
463324752
560071245
134465220
21447865
654556327
183481051
20041805
405079805
564327789

예제 출력 3

3600242976

힌트

JOI 군이 다음과 같은 순서로 케이크를 가져오는 것이 최적해이다.

  1. JOI 군이 2번째 조각을 가져온다. 이 조각의 크기는 8이다.
  2. IOI 양은 1번째 조각을 가져온다. 이 조각의 크기는 2이다.
  3. JOI 군이 5번째 조각을 가져온다. 이 조각의 크기는 9이다.
  4. IOI 양은 4번째 조각을 가져온다. 이 조각의 크기는 10이다.
  5. JOI 군이 3번째 조각을 가져온다. 이 조각의 크기는 1이다.

최종적으로, JOI 군이 가져온 조각들 크기의 합계는 8+9+1 = 18이 된다.

[{"problem_id":"10714","problem_lang":"0","title":"\ucf00\uc774\ud06c \uc790\ub974\uae30 2","description":"<p>JOI \uad70\uacfc IOI \uc591\uc740 \uc30d\ub465\uc774 \ub0a8\ub9e4\uc774\ub2e4. JOI \uad70\uc740 \ucd5c\uadfc \uacfc\uc790 \ub9cc\ub4e4\uae30\uc5d0 \ud479 \ube60\uc84c\uae30 \ub54c\ubb38\uc5d0, JOI \uad70\uc740 \uc624\ub298\ub3c4 \ucf00\uc774\ud06c\ub97c \ub9cc\ub4e4\uc5b4\uc11c \uba39\uc73c\ub824\uace0 \ud588\uc9c0\ub9cc, \ub9c9 \uad6c\uc6cc\uc9c4 \ucc38\uc5d0 \ub0c4\uc0c8\ub97c \ub9e1\uace0 \uc628 IOI \uc591\uc774 \uc654\uae30 \ub54c\ubb38\uc5d0 \ub450 \uba85\uc774 \ucf00\uc774\ud06c\ub97c \ub098\ub204\uc5b4 \uba39\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\ucf00\uc774\ud06c\ub294 \ub465\uadf8\ub7f0 \ubaa8\uc591\uc744 \ud558\uace0 \uc788\ub2e4. \uc5b4\ub290 \uc810\uc5d0\uc11c\ubd80\ud130 \uc9c1\uc120\uc73c\ub85c \uce7c\uc9d1\uc744 \ub123\uc5b4 \ucf00\uc774\ud06c\ub97c N \uac1c\uc758 \uc870\uac01\uc73c\ub85c \ub098\ub208 \ub4a4, \uac01 \uc870\uac01\ub9c8\ub2e4 1\ubd80\ud130 N \uae4c\uc9c0 \ubc18\uc2dc\uacc4\ubc29\ud5a5\uc73c\ub85c \ubc88\ud638\ub97c \ub9e4\uae34\ub2e4. \uc989,&nbsp;1 \u2266 i \u2266 N\uc5d0 \ub300\ud574, i \ubc88\uc9f8 \uc870\uac01\uc740 i - 1 \ubc88\uc9f8\uc640 i + 1 \ubc88\uc9f8 \uc870\uac01\uacfc \uc778\uc811\ud574\uc788\ub2e4. (\ub2e8, 0\ubc88\uc9f8\ub294 N \ubc88\uc9f8, N + 1 \ubc88\uc9f8\ub294 1\ubc88\uc9f8\ub85c \uac04\uc8fc\ud55c\ub2e4). i \ubc88\uc9f8 \uc870\uac01\uc758 \ud06c\uae30\ub294&nbsp;A<sub>i<\/sub> \uc774\uc9c0\ub9cc, \uce7c\uc9c8\uc774 \uc11c\ud234\ub7ec&nbsp;A<sub>i<\/sub>\uac00 \ubaa8\ub450 \ub2e4\ub978 \uac12\uc744 \uac00\uc9c0\uac8c \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images3\/cake.png\" style=\"height:290px; text-align:center; width:298px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc 1 : \ucf00\uc774\ud06c\uc758 \uc608&nbsp;(N = 5, A<sub>1<\/sub> = 2, A<sub>2<\/sub> = 8, A<sub>3<\/sub> = 1, A<sub>4<\/sub> = 10, A<sub>5<\/sub> = 9)<\/p>\r\n\r\n<p>\uc774 N\uac1c\ub97c JOI&nbsp;\uad70\uacfc IOI \uc591\uc774 \ub098\ub204\uae30\ub85c \ud558\uc600\ub2e4. \ub098\ub204\ub294 \ubc29\ubc95\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\uba3c\uc800, JOI \uad70\uc774 N \uac1c\uc758 \uc870\uac01 \uc911 \uc6d0\ud558\ub294 \uac83 \ud558\ub098\ub97c \uac00\uc838\uac04\ub2e4.<\/li>\r\n\t<li>\uadf8 \ub4a4, IOI \uc591\uc73c\ub85c\ubd80\ud130 \uc2dc\uc791\ud574 IOI \uc591\uacfc JOI \uad70\uc740 \ubc88\uac08\uc544\uac00\uba70 \ub0a8\uc740 \uc870\uac01\uc744 \ud558\ub098\uc529 \uac00\uc838\uac04\ub2e4. \ub2e8, \uc778\uc811\ud55c \uc870\uac01 \uc911 \ud558\ub098 \uc774\uc0c1\uc758 \uc870\uac01\uc774 \uc774\ubbf8 \uc120\ud0dd\ub41c \uacbd\uc6b0\uc5d0\ub9cc \uac00\uc838\uac08 \uc218 \uc788\ub2e4. \uac00\uc838\uac08 \uc218 \uc788\ub294 \uc870\uac01\uc774 \uc5ec\ub7ec \uac1c \uc788\uc744 \ub54c\uc5d4, IOI \uc591\uc740 \uadf8 \uc911 \uac00\uc7a5 \ud070 \uc870\uac01\uc744 \uac00\uc838\uac00\uace0, JOI \uad70\uc740 \uc6d0\ud558\ub294 \uc870\uac01\uc744 \uac00\uc838\uac08 \uc218 \uc788\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>JOI \uad70\uc740 \uc790\uc2e0\uc774 \uac00\uc838\uc628 \uc870\uac01\ub4e4 \ud06c\uae30\uc758 \ud569\uc744 \ucd5c\ub300\ud654\ud558\uace0 \uc2f6\ub2e4.<\/p>\r\n\r\n<p>\ucf00\uc774\ud06c\uc758 \uc870\uac01 \uc218 N \uacfc, N \uac1c\uc758 \uc870\uac01\uc758 \ud06c\uae30\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, JOI \uad70\uc774 \uac00\uc838\uc62c \uc218 \uc788\ub294 \uc870\uac01\ub4e4\uc758 \ud569\uacc4\uc758 \ucd5c\ub300\uce58\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\ud45c\uc900\uc785\ub825\uc73c\ub85c\ubd80\ud130 \uc774\ud558\uc758 \uc785\ub825\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ucf00\uc774\ud06c\uac00 N \uac1c\uc758 \uc870\uac01\uc73c\ub85c \ub098\ub258\uc5b4 \uc788\uc74c\uc744 \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/li>\r\n\t<li>\uc774\uc5b4\uc9c0\ub294 N \uc5f4 \uc911 i \uc5f4&nbsp;(1 \u2266 i \u2266 N) \uc5d0\ub294 i \ubc88\uc9f8 \uc870\uac01\uc758 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b4\ub294&nbsp;\uc815\uc218&nbsp;A<sub>i<\/sub>\uac00 \uc801\ud600\uc788\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ubaa8\ub4e0 \uc785\ub825 \ub370\uc774\ud130\ub294 \uc544\ub798\uc758 \uc870\uac74\uc744 \ub9cc\uc871\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u2266 N \u2266 2 000\uff0e<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub>&nbsp;\u2266 1 000 000 000\uff0e<\/li>\r\n\t<li>A<sub>i<\/sub> \ubaa8\ub450 \ub2e4\ub978 \uac12\uc744 \uac16\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n","output":"<p>JOI \uad70\uc774 \uac00\uc838\uc62c \uc218 \uc788\ub294 \uc870\uac01\ub4e4\uc758 \ud569\uacc4\uc758 \ucd5c\ub300\uce58\ub97c \ud55c \uc904\ub85c \ucd9c\ub825\ud558\uc2dc\uc624.<\/p>\r\n","hint":"<p>JOI \uad70\uc774&nbsp;\ub2e4\uc74c\uacfc \uac19\uc740 \uc21c\uc11c\ub85c \ucf00\uc774\ud06c\ub97c \uac00\uc838\uc624\ub294 \uac83\uc774 \ucd5c\uc801\ud574\uc774\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>JOI \uad70\uc774 2\ubc88\uc9f8 \uc870\uac01\uc744 \uac00\uc838\uc628\ub2e4. \uc774 \uc870\uac01\uc758 \ud06c\uae30\ub294 8\uc774\ub2e4.<\/li>\r\n\t<li>IOI \uc591\uc740 1\ubc88\uc9f8 \uc870\uac01\uc744 \uac00\uc838\uc628\ub2e4. \uc774 \uc870\uac01\uc758 \ud06c\uae30\ub294 2\uc774\ub2e4.<\/li>\r\n\t<li>JOI \uad70\uc774&nbsp;5\ubc88\uc9f8 \uc870\uac01\uc744 \uac00\uc838\uc628\ub2e4. \uc774 \uc870\uac01\uc758 \ud06c\uae30\ub294 9\uc774\ub2e4.<\/li>\r\n\t<li>IOI \uc591\uc740 4\ubc88\uc9f8 \uc870\uac01\uc744 \uac00\uc838\uc628\ub2e4. \uc774 \uc870\uac01\uc758 \ud06c\uae30\ub294 10\uc774\ub2e4.<\/li>\r\n\t<li>JOI \uad70\uc774 3\ubc88\uc9f8 \uc870\uac01\uc744 \uac00\uc838\uc628\ub2e4. \uc774 \uc870\uac01\uc758 \ud06c\uae30\ub294 1\uc774\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\ucd5c\uc885\uc801\uc73c\ub85c, JOI \uad70\uc774 \uac00\uc838\uc628 \uc870\uac01\ub4e4 \ud06c\uae30\uc758 \ud569\uacc4\ub294 8+9+1 = 18\uc774 \ub41c\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10714","problem_lang":"2","title":"\u30b1\u30fc\u30ad\u306e\u5207\u308a\u5206\u3051\uff12","description":"<p>JOI \u304f\u3093\u3068 IOI \u3061\u3083\u3093\u306f\u53cc\u5b50\u306e\u5144\u59b9\u3067\u3042\u308b\uff0eJOI \u304f\u3093\u306f\u6700\u8fd1\u304a\u83d3\u5b50\u4f5c\u308a\u306b\u51dd\u3063\u3066\u3044\u3066\uff0c\u4eca\u65e5\u3082 JOI \u304f\u3093\u306f\u30b1\u30fc\u30ad\u3092\u713c\u3044\u3066\u98df\u3079\u3088\u3046\u3068\u3057\u305f\u306e\u3060\u304c\uff0c\u713c\u304d\u3042\u304c\u3063\u305f\u3068\u3053\u308d\u3067\u5302\u3044\u3092\u304b\u304e\u3064\u3051\u305f IOI \u3061\u3083\u3093\u304c\u6765\u305f\u306e\u3067 2\u4eba\u3067\u30b1\u30fc\u30ad\u3092\u5206\u3051\u308b\u3053\u3068\u306b\u306a\u3063\u305f\uff0e<\/p>\r\n\r\n<p>\u30b1\u30fc\u30ad\u306f\u5186\u5f62\u3067\u3042\u308b\uff0e\u3042\u308b\u70b9\u304b\u3089\u653e\u5c04\u72b6\u306b\u5207\u308a\u76ee\u3092\u5165\u308c\uff0c\u30b1\u30fc\u30ad\u3092 N \u500b\u306e\u30d4\u30fc\u30b9\u306b\u5207\u308a\u5206\u3051\uff0c\u30d4\u30fc\u30b9\u306b1 \u304b\u3089 N \u307e\u3067\u53cd\u6642\u8a08\u56de\u308a\u306b\u756a\u53f7\u3092\u3064\u3051\u305f\uff0e\u3064\u307e\u308a\uff0c1 \u2266 i \u2266 N \u306b\u5bfe\u3057\uff0ci \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u306f i &minus; 1 \u756a\u76ee\u3068 i + 1 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3068\u96a3\u63a5\u3057\u3066\u3044\u308b (\u305f\u3060\u3057 0 \u756a\u76ee\u306f N \u756a\u76ee\uff0cN + 1 \u756a\u76ee\u306f 1 \u756a\u76ee\u3068\u307f\u306a\u3059) \uff0ei \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f A<sub>i<\/sub> \u3060\u3063\u305f\u304c\uff0c\u5207\u308a\u65b9\u304c\u3068\u3066\u3082\u4e0b\u624b\u3060\u3063\u305f\u306e\u3067 A<sub>i<\/sub> \u306f\u3059\u3079\u3066\u7570\u306a\u308b\u5024\u306b\u306a\u3063\u305f\uff0e<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images3\/cake.png\" style=\"height:290px; width:298px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">\u56f3 1: \u30b1\u30fc\u30ad\u306e\u4f8b (N = 5, A1 = 2, A2 = 8, A3 = 1, A4 = 10, A5 = 9)<\/p>\r\n\r\n<p>\u3053\u306e N \u500b\u3092 JOI \u304f\u3093\u3068 IOI \u3061\u3083\u3093\u3067\u5206\u3051\u308b\u3053\u3068\u306b\u3057\u305f\uff0e\u5206\u3051\u65b9\u306f\u6b21\u306e\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u306b\u3057\u305f\uff1a<\/p>\r\n\r\n<ol>\r\n\t<li>\u307e\u305a JOI \u304f\u3093\u304c N \u500b\u306e\u3046\u3061\u306e\u597d\u304d\u306a 1 \u3064\u3092\u9078\u3093\u3067\u53d6\u308b\uff0e<\/li>\r\n\t<li>\u305d\u306e\u5f8c\uff0cIOI \u3061\u3083\u3093\u304b\u3089\u306f\u3058\u3081\u3066 IOI \u3061\u3083\u3093\u3068 JOI \u304f\u3093\u304c\u4ea4\u4e92\u306b\u6b8b\u308a\u306e\u30d4\u30fc\u30b9\u3092 1 \u3064\u305a\u3064\u53d6\u3063\u3066\u3044\u304f\uff0e\u305f\u3060\u3057\uff0c\u4e21\u96a3\u306e\u30d4\u30fc\u30b9\u306e\u3046\u3061\u5c11\u306a\u304f\u3068\u3082\u4e00\u65b9\u304c\u65e2\u306b\u53d6\u3089\u308c\u3066\u3044\u308b\u3088\u3046\u306a\u30d4\u30fc\u30b9\u3057\u304b\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u305a\uff0c\u53d6\u308c\u308b\u30d4\u30fc\u30b9\u304c\u8907\u6570\u3042\u308b\u3068\u304d\u306f\uff0cIOI \u3061\u3083\u3093\u306f\u305d\u306e\u3046\u3061\u6700\u3082\u5927\u304d\u3044\u3082\u306e\u3092\u9078\u3093\u3067\u53d6\u308a\uff0cJOI \u304f\u3093\u306f\u305d\u306e\u3046\u3061\u3067\u597d\u304d\u306a\u3082\u306e\u3092\u9078\u3093\u3067\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e<\/li>\r\n<\/ol>\r\n\r\n<p>JOI \u304f\u3093\u306f\uff0c\u81ea\u5206\u304c\u6700\u7d42\u7684\u306b\u53d6\u308b\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306e\u5408\u8a08\u3092\u6700\u5927\u5316\u3057\u305f\u3044\uff0e<\/p>\r\n\r\n<p>\u30b1\u30fc\u30ad\u306e\u30d4\u30fc\u30b9\u306e\u6570 N \u3068\uff0cN \u500b\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0cJOI \u304f\u3093\u304c\u53d6\u308c\u308b\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306e\u5408\u8a08\u306e\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u5165\u529b\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f\u6574\u6570 N \u304c\u66f8\u304b\u308c\u3066\u304a\u308a\uff0c\u30b1\u30fc\u30ad\u304c N \u500b\u306e\u30d4\u30fc\u30b9\u306b\u5207\u308a\u5206\u3051\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>\u7d9a\u304f N \u884c\u306e\u3046\u3061\u306e i \u884c\u76ee (1 \u2266 i \u2266 N) \u306b\u306f\u6574\u6570 A<sub>i<\/sub> \u304c\u66f8\u304b\u308c\u3066\u304a\u308a\uff0ci \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u304c A<sub>i<\/sub> \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n<\/ul>\r\n\r\n<p>\u3059\u3079\u3066\u306e\u5165\u529b\u30c7\u30fc\u30bf\u306f\u4ee5\u4e0b\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u2266 N \u2266 2 000\uff0e<\/li>\r\n\t<li>1 \u2266 A<sub>i<\/sub> \u2266 1 000 000 000\uff0e<\/li>\r\n\t<li>A<sub>i<\/sub> \u306f\u3059\u3079\u3066\u7570\u306a\u308b\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0cJOI \u304f\u3093\u304c\u53d6\u308c\u308b\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306e\u5408\u8a08\u306e\u6700\u5927\u5024\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n","hint":"<p>JOI \u304f\u3093\u306f\uff0c\u6b21\u306e\u3088\u3046\u306b\u30d4\u30fc\u30b9\u3092\u53d6\u308b\u306e\u304c\u6700\u9069\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ol>\r\n\t<li>JOI \u304f\u3093\u306f 2 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3092\u53d6\u308b\uff0e\u3053\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f 8 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>IOI \u3061\u3083\u3093\u306f 1 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3092\u53d6\u308b\uff0e\u3053\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f 2 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>JOI \u304f\u3093\u306f 5 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3092\u53d6\u308b\uff0e\u3053\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f 9 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>IOI \u3061\u3083\u3093\u306f 4 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3092\u53d6\u308b\uff0e\u3053\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f 10 \u3067\u3042\u308b\uff0e<\/li>\r\n\t<li>JOI \u304f\u3093\u306f 3 \u756a\u76ee\u306e\u30d4\u30fc\u30b9\u3092\u53d6\u308b\uff0e\u3053\u306e\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306f 1 \u3067\u3042\u308b\uff0e<\/li>\r\n<\/ol>\r\n\r\n<p>\u6700\u7d42\u7684\u306b\uff0cJOI \u304f\u3093\u304c\u53d6\u3063\u305f\u30d4\u30fc\u30b9\u306e\u5927\u304d\u3055\u306e\u5408\u8a08\u306f\uff0c8 + 9 + 1 = 18 \u3068\u306a\u308b\uff0e<\/p>\r\n","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]

출처

Olympiad > 일본정보올림피아드 > JOI 2015 2번