시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB66632725454.274%

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.

출력

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

제한

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

서브태스크

번호 배점 제한
1 15

N ≦ 20

2 45

N ≦ 300

3 40

추가적인 제약 조건이 없다.

예제 입력 1

5
2
8
1
10
9

예제 출력 1

18

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.

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
[{"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","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":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","limit":"<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>\ub294 \ubaa8\ub450 \ub2e4\ub978 \uac12\uc744 \uac16\ub294\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>N \u2266 20<\/p>\r\n","subtask2":"<p>N \u2266 300<\/p>\r\n","subtask3":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","sample_explain_1":"<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"},{"problem_id":"10714","problem_lang":"2","title":"\u30b1\u30fc\u30ad\u306e\u5207\u308a\u5206\u3051\uff12 (Cake 2)","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","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":"","original":"1","html_title":"0","problem_lang_tcode":"Japanese","limit":"<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","subtask1":"<p>N \u2266 20<\/p>\r\n","subtask2":"<p>N \u2266 300<\/p>\r\n","subtask3":"<p>\u8ffd\u52a0\u306e\u5236\u9650\u306f\u306a\u3044\uff0e<\/p>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2015 2번

채점 및 기타 정보

  • 예제는 채점하지 않는다.