시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 256 MB 36 23 23 65.714%

문제

JOI 상점가에는 큰길을 따라 N 개의 가게가 있으며, JOI 상점가의 입구부터 출구 쪽으로 1, 2, ... N 번의 번호가 붙어 있습니다. JOI 상점가는 일방통행이며, 입구부터 출구 방향으로 이동이 가능합니다.

마을을 부흥식 키기 위해, JOI 상점가에서 스탬프랠리를 하게 되었습니다. 이 스탬프랠리는, 각각의 가게에 J, O, I의 스탬프를 준비하고, 가게에 물건을 산 사람의 스탬프 카드에 스탬프를 찍어줍니다. 스탬프랠리에 참가한 사람은 정확히 3개의 가게에 들어가야 합니다. 상점가의 입구에는 3개의 란에서 스탬프 카드를 나눠주며, 첫 번째로 들어간 가게, 두 번째로 들어간 가게, 세 번째로 들어간 가게의 스탬프를 받습니다. 상점가의 출구에는 스탬프 카드를 회수하며, 스탬프를 받은 순서대로 J, O, I 가 되면, 이번 캠페인에서 준비한 상품권을 상품으로 받을 수 있습니다. 찍었던 순서가 J, O, I가 아닌 다른 순서가 되면 상품권은 받지 못 합니다.

이미 N 개의 가게에 어떤 스탬프를 준비할지 결정하였으나, 1가지 새로운 가게가 JOI 상점가에 들어올 경우, 가게를 여는 장소와 그 가게가 준비하는 스탬프를 정하게 되었습니다. 새롭게 내놓을 가게의 장소는, 가게 i와 가게 i+1 의 사이(1 ≦ i ≦ N − 1), 입구와 가게 1의 사이, 가게 N과 출구의 사이 중 하나를 결정하게 되었습니다. 그리고, 새로운 가게의 스탬프는 J, O, I의 3개 중 하나로 결정합니다.

상품권을 받을 수 있는 가게의 선택 방법의 수가 클수록, 스탬프랠리가 흥하자 상점가는 생각했습니다. 거기서, 새로운 가게의 장소를 준비와 준비하는 스탬프를 결정할 때, 상기의 가게에서 선택 방법을 최대치로 구하여야 합니다.

JOI 상점가는 이미 있는 가게가 준비한 정보가 주어졌을 때, 새로운 가게의 장소와 준비하는 스탬프를 결정할 때, 상품권을 받을 수 있는 상점가의 선택의 수를 최대치로 구하여야 합니다.

입력

표준 입력은 다음과 같이 입력합니다.

  • 1번째 행에는 1개의 정수 N을 씁니다. 정수 N은 JOI상점가에 현재 존재하는 N개의 가게를 의미합니다.
  • 2번째 행에는 J, O, I 만 들어가는 문자열 S를 씁니다. 문자열 S는 왼쪽으로 부터 i문자열(1 ≦ i ≦ N) 까지이며, 가게 i는 준비하는 스탬프의 종류 중 하나를 표현합니다.

전체적인 입력 조건은 다음과 같습니다.

  •  3 ≦ N ≦ 100 000.

출력

상품권을 받을 수 있는 경우의 수 중 최대치를 찾아서 1행에 출력하여 주십시오.

상품권을 받을 수 있는 가게의 선택 방법은 32비트의 부호의 정수 범위가 아닐 수도 있음에 주의하여 주십시오.

예제 입력 1

5
JOIOI

예제 출력 1

6

예제 입력 2

7
JJJOIII

예제 출력 2

18

예제 입력 3

4
OIIJ

예제 출력 3

2
[{"problem_id":"11986","problem_lang":"0","title":"\uc2a4\ud0ec\ud504\ub810\ub9ac-2","description":"<p>JOI \uc0c1\uc810\uac00\uc5d0\ub294 \ud070\uae38\uc744 \ub530\ub77c N \uac1c\uc758 \uac00\uac8c\uac00 \uc788\uc73c\uba70, JOI \uc0c1\uc810\uac00\uc758 \uc785\uad6c\ubd80\ud130 \ucd9c\uad6c \ucabd\uc73c\ub85c 1, 2, ... N \ubc88\uc758 \ubc88\ud638\uac00 \ubd99\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. JOI \uc0c1\uc810\uac00\ub294 \uc77c\ubc29\ud1b5\ud589\uc774\uba70, \uc785\uad6c\ubd80\ud130 \ucd9c\uad6c \ubc29\ud5a5\uc73c\ub85c \uc774\ub3d9\uc774 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc744\uc744 \ubd80\ud765\uc2dd \ud0a4\uae30 \uc704\ud574, JOI \uc0c1\uc810\uac00\uc5d0\uc11c \uc2a4\ud0ec\ud504\ub7a0\ub9ac\ub97c \ud558\uac8c \ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc774 \uc2a4\ud0ec\ud504\ub7a0\ub9ac\ub294, \uac01\uac01\uc758 \uac00\uac8c\uc5d0 J, O, I\uc758 \uc2a4\ud0ec\ud504\ub97c \uc900\ube44\ud558\uace0, \uac00\uac8c\uc5d0 \ubb3c\uac74\uc744 \uc0b0 \uc0ac\ub78c\uc758 \uc2a4\ud0ec\ud504 \uce74\ub4dc\uc5d0 \uc2a4\ud0ec\ud504\ub97c \ucc0d\uc5b4\uc90d\ub2c8\ub2e4. \uc2a4\ud0ec\ud504\ub7a0\ub9ac\uc5d0 \ucc38\uac00\ud55c \uc0ac\ub78c\uc740 \uc815\ud655\ud788 3\uac1c\uc758 \uac00\uac8c\uc5d0 \ub4e4\uc5b4\uac00\uc57c \ud569\ub2c8\ub2e4.&nbsp;\uc0c1\uc810\uac00\uc758 \uc785\uad6c\uc5d0\ub294 3\uac1c\uc758 \ub780\uc5d0\uc11c \uc2a4\ud0ec\ud504 \uce74\ub4dc\ub97c \ub098\ub220\uc8fc\uba70, \uccab \ubc88\uc9f8\ub85c \ub4e4\uc5b4\uac04 \uac00\uac8c, \ub450 \ubc88\uc9f8\ub85c \ub4e4\uc5b4\uac04 \uac00\uac8c, \uc138 \ubc88\uc9f8\ub85c \ub4e4\uc5b4\uac04 \uac00\uac8c\uc758 \uc2a4\ud0ec\ud504\ub97c \ubc1b\uc2b5\ub2c8\ub2e4. \uc0c1\uc810\uac00\uc758 \ucd9c\uad6c\uc5d0\ub294 \uc2a4\ud0ec\ud504 \uce74\ub4dc\ub97c \ud68c\uc218\ud558\uba70, \uc2a4\ud0ec\ud504\ub97c \ubc1b\uc740 \uc21c\uc11c\ub300\ub85c J, O, I \uac00 \ub418\uba74, \uc774\ubc88 \ucea0\ud398\uc778\uc5d0\uc11c \uc900\ube44\ud55c \uc0c1\ud488\uad8c\uc744 \uc0c1\ud488\uc73c\ub85c \ubc1b\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ucc0d\uc5c8\ub358 \uc21c\uc11c\uac00 J, O, I\uac00 \uc544\ub2cc \ub2e4\ub978 \uc21c\uc11c\uac00 \ub418\uba74 \uc0c1\ud488\uad8c\uc740 \ubc1b\uc9c0 \ubabb \ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc774\ubbf8 N \uac1c\uc758 \uac00\uac8c\uc5d0 \uc5b4\ub5a4 \uc2a4\ud0ec\ud504\ub97c \uc900\ube44\ud560\uc9c0 \uacb0\uc815\ud558\uc600\uc73c\ub098, 1\uac00\uc9c0 \uc0c8\ub85c\uc6b4 \uac00\uac8c\uac00 JOI \uc0c1\uc810\uac00\uc5d0 \ub4e4\uc5b4\uc62c \uacbd\uc6b0, \uac00\uac8c\ub97c \uc5ec\ub294 \uc7a5\uc18c\uc640 \uadf8 \uac00\uac8c\uac00 \uc900\ube44\ud558\ub294 \uc2a4\ud0ec\ud504\ub97c \uc815\ud558\uac8c \ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc0c8\ub86d\uac8c \ub0b4\ub193\uc744 \uac00\uac8c\uc758 \uc7a5\uc18c\ub294, \uac00\uac8c i\uc640 \uac00\uac8c i+1 \uc758 \uc0ac\uc774(1 \u2266 i \u2266 N &minus; 1)\uff0c \uc785\uad6c\uc640 \uac00\uac8c 1\uc758 \uc0ac\uc774, \uac00\uac8c N\uacfc \ucd9c\uad6c\uc758 \uc0ac\uc774 \uc911 \ud558\ub098\ub97c \uacb0\uc815\ud558\uac8c \ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uadf8\ub9ac\uace0, \uc0c8\ub85c\uc6b4 \uac00\uac8c\uc758 \uc2a4\ud0ec\ud504\ub294 J, O, I\uc758 3\uac1c \uc911 \ud558\ub098\ub85c \uacb0\uc815\ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\ud488\uad8c\uc744 \ubc1b\uc744 \uc218 \uc788\ub294 \uac00\uac8c\uc758 \uc120\ud0dd \ubc29\ubc95\uc758 \uc218\uac00 \ud074\uc218\ub85d, \uc2a4\ud0ec\ud504\ub7a0\ub9ac\uac00 \ud765\ud558\uc790 \uc0c1\uc810\uac00\ub294 \uc0dd\uac01\ud588\uc2b5\ub2c8\ub2e4. \uac70\uae30\uc11c, \uc0c8\ub85c\uc6b4 \uac00\uac8c\uc758 \uc7a5\uc18c\ub97c \uc900\ube44\uc640 \uc900\ube44\ud558\ub294 \uc2a4\ud0ec\ud504\ub97c \uacb0\uc815\ud560 \ub54c, \uc0c1\uae30\uc758 \uac00\uac8c\uc5d0\uc11c \uc120\ud0dd \ubc29\ubc95\uc744 \ucd5c\ub300\uce58\ub85c \uad6c\ud558\uc5ec\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<p>JOI \uc0c1\uc810\uac00\ub294 \uc774\ubbf8 \uc788\ub294 \uac00\uac8c\uac00 \uc900\ube44\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc0c8\ub85c\uc6b4 \uac00\uac8c\uc758 \uc7a5\uc18c\uc640 \uc900\ube44\ud558\ub294 \uc2a4\ud0ec\ud504\ub97c \uacb0\uc815\ud560 \ub54c, \uc0c1\ud488\uad8c\uc744 \ubc1b\uc744 \uc218 \uc788\ub294 \uc0c1\uc810\uac00\uc758 \uc120\ud0dd\uc758 \uc218\ub97c \ucd5c\ub300\uce58\ub85c \uad6c\ud558\uc5ec\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","input":"<p>\ud45c\uc900 \uc785\ub825\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uc785\ub825\ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>1\ubc88\uc9f8 \ud589\uc5d0\ub294 1\uac1c\uc758 \uc815\uc218 N\uc744 \uc501\ub2c8\ub2e4. \uc815\uc218 N\uc740 JOI\uc0c1\uc810\uac00\uc5d0 \ud604\uc7ac \uc874\uc7ac\ud558\ub294 N\uac1c\uc758 \uac00\uac8c\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/li>\r\n\t<li>2\ubc88\uc9f8 \ud589\uc5d0\ub294 J, O, I \ub9cc \ub4e4\uc5b4\uac00\ub294 \ubb38\uc790\uc5f4 S\ub97c \uc501\ub2c8\ub2e4. \ubb38\uc790\uc5f4 S\ub294 \uc67c\ucabd\uc73c\ub85c \ubd80\ud130 i\ubb38\uc790\uc5f4(1 \u2266 i \u2266 N) \uae4c\uc9c0\uc774\uba70, \uac00\uac8c i\ub294 \uc900\ube44\ud558\ub294 \uc2a4\ud0ec\ud504\uc758 \uc885\ub958 \uc911 \ud558\ub098\ub97c \ud45c\ud604\ud569\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uc804\uccb4\uc801\uc778 \uc785\ub825 \uc870\uac74\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li><strong>&nbsp;<\/strong>3 \u2266 N \u2266 100 000\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\uc0c1\ud488\uad8c\uc744 \ubc1b\uc744 \uc218 \uc788\ub294 \uacbd\uc6b0\uc758 \uc218 \uc911 \ucd5c\ub300\uce58\ub97c \ucc3e\uc544\uc11c 1\ud589\uc5d0 \ucd9c\ub825\ud558\uc5ec \uc8fc\uc2ed\uc2dc\uc624.<\/p>\r\n\r\n<p>\uc0c1\ud488\uad8c\uc744 \ubc1b\uc744 \uc218 \uc788\ub294 \uac00\uac8c\uc758 \uc120\ud0dd \ubc29\ubc95\uc740 32\ube44\ud2b8\uc758 \ubd80\ud638\uc758 \uc815\uc218 \ubc94\uc704\uac00 \uc544\ub2d0 \uc218\ub3c4 \uc788\uc74c\uc5d0 \uc8fc\uc758\ud558\uc5ec \uc8fc\uc2ed\uc2dc\uc624.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"11986","problem_lang":"2","title":"\u30b9\u30bf\u30f3\u30d7\u30e9\u30ea\u30fc \uff12","description":"<p>JOI \u5546\u5e97\u8857\u306b\u306f\u5927\u901a\u308a\u306b\u6cbf\u3063\u3066 N \u500b\u306e\u5e97\u304c\u3042\u308a\uff0cJOI \u5546\u5e97\u8857\u306e\u5165\u53e3\u304b\u3089\u51fa\u53e3\u306b\u5411\u304b\u3063\u3066\u305d\u308c\u305e\u308c 1, 2, . . . , N \u306e\u756a\u53f7\u304c\u4ed8\u3051\u3089\u308c\u3066\u3044\u308b\uff0eJOI \u5546\u5e97\u8857\u306f\u4e00\u65b9\u901a\u884c\u3067\uff0c\u5165\u53e3\u304b\u3089\u51fa\u53e3\u65b9\u5411\u3078\u3057\u304b\u79fb\u52d5\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/p>\r\n\r\n<p>\u307e\u3061\u304a\u3053\u3057\u306e\u305f\u3081\uff0cJOI \u5546\u5e97\u8857\u3067\u30b9\u30bf\u30f3\u30d7\u30e9\u30ea\u30fc\u3092\u884c\u3046\u3053\u3068\u306b\u306a\u3063\u305f\uff0e\u3053\u306e\u30b9\u30bf\u30f3\u30d7\u30e9\u30ea\u30fc\u3067\u306f\uff0c\u305d\u308c\u305e\u308c\u306e\u5e97\u306f J\uff0cO\uff0cI \u306e\u3044\u305a\u308c\u304b\u306e\u30b9\u30bf\u30f3\u30d7\u3092\u7528\u610f\u3057\uff0c\u5e97\u3067\u8cb7\u3044\u7269\u3092\u3057\u305f\u4eba\u306f\u30b9\u30bf\u30f3\u30d7\u30ab\u30fc\u30c9\u306b\u30b9\u30bf\u30f3\u30d7\u3092\u62bc\u3057\u3066\u3082\u3089\u3046\uff0e\u30b9\u30bf\u30f3\u30d7\u30e9\u30ea\u30fc\u306b\u53c2\u52a0\u3059\u308b\u4eba\u306f\u3061\u3087\u3046\u3069 3 \u3064\u306e\u5e97\u306b\u5165\u308b\uff0e\u5546\u5e97\u8857\u306e\u5165\u53e3\u3067\u306f 3 \u3064\u306e\u6b04\u306e\u3042\u308b\u30b9\u30bf\u30f3\u30d7\u30ab\u30fc\u30c9\u3092\u914d\u308a\uff0c1 \u56de\u76ee\u306b\u5165\u3063\u305f\u5e97\uff0c2 \u56de\u76ee\u306b\u5165\u3063\u305f\u5e97\uff0c3 \u56de\u76ee\u306b\u5165\u3063\u305f\u5e97\u306e\u30b9\u30bf\u30f3\u30d7\u3092\u62bc\u3057\u3066\u3082\u3089\u3046\uff0e\u5546\u5e97\u8857\u306e\u51fa\u53e3\u3067\u30b9\u30bf\u30f3\u30d7\u30ab\u30fc\u30c9\u3092\u56de\u53ce\u3057\uff0c\u62bc\u3055\u308c\u305f\u30b9\u30bf\u30f3\u30d7\u304c\u5148\u306b\u5165\u3063\u305f\u5e97\u306e\u3082\u306e\u304b\u3089\u9806\u306b J\uff0cO\uff0cI\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u304d\uff0c\u51fa\u53e3\u3067\u5546\u54c1\u5238\u304c\u3082\u3089\u3048\u308b\u30ad\u30e3\u30f3\u30da\u30fc\u30f3\u3092\u5b9f\u65bd\u3059\u308b\u3053\u3068\u306b\u306a\u3063\u305f\uff0e\u62bc\u3055\u308c\u305f\u30b9\u30bf\u30f3\u30d7\u306e\u7a2e\u985e\u3084\u9806\u756a\u304c\u7570\u306a\u308b\u3068\u304d\u306f\u5546\u54c1\u5238\u306f\u3082\u3089\u3048\u306a\u3044\uff0e<\/p>\r\n\r\n<p>\u3059\u3067\u306b N \u500b\u306e\u3059\u3079\u3066\u306e\u5e97\u306f\u3069\u306e\u30b9\u30bf\u30f3\u30d7\u3092\u7528\u610f\u3059\u308b\u304b\u6c7a\u3081\u305f\u304c\uff0c\u65b0\u305f\u306b 1 \u3064\u306e\u5e97\u3092 JOI \u5546\u5e97\u8857\u306b\u51fa\u3059\u3053\u3068\u306b\u306a\u308a\uff0c\u65b0\u3057\u304f\u51fa\u5e97\u3059\u308b\u5834\u6240\u3068\uff0c\u305d\u306e\u5e97\u304c\u7528\u610f\u3059\u308b\u30b9\u30bf\u30f3\u30d7\u3092\u6c7a\u3081\u308b\u3053\u3068\u306b\u306a\u3063\u305f\uff0e\u65b0\u3057\u3044\u5e97\u3092\u51fa\u3059\u5834\u6240\u306f\uff0c\u5e97 i \u3068\u5e97 i + 1 \u306e\u9593 (1 \u2266 i \u2266 N &minus; 1)\uff0c\u5165\u53e3\u3068\u5e97 1 \u306e\u9593\uff0c\u5e97 N \u3068\u51fa\u53e3\u306e\u9593\u306e\u3044\u305a\u308c\u304b\u304b\u3089\u6c7a\u3081\u308b\uff0e\u307e\u305f\uff0c\u65b0\u3057\u3044\u5e97\u306e\u30b9\u30bf\u30f3\u30d7\u306f J\uff0cO\uff0cI \u306e 3 \u901a\u308a\u304b\u3089\u6c7a\u3081\u308b\uff0e<\/p>\r\n\r\n<p>\u5546\u54c1\u5238\u3092\u3082\u3089\u3048\u308b\u3088\u3046\u306a\u5e97\u306e\u9078\u3073\u65b9\u306e\u6570\u304c\u5927\u304d\u3044\u307b\u3069\uff0c\u30b9\u30bf\u30f3\u30d7\u30e9\u30ea\u30fc\u304c\u76db\u308a\u4e0a\u304c\u308b\u3068\u5546\u5e97\u8857\u306f\u8003\u3048\u305f\uff0e\u305d\u3053\u3067\uff0c\u65b0\u3057\u304f\u51fa\u3059\u5e97\u306e\u5834\u6240\u3068\u7528\u610f\u3059\u308b\u30b9\u30bf\u30f3\u30d7\u3092\u6c7a\u3081\u305f\u3068\u304d\u306e\uff0c\u4e0a\u8a18\u306e\u5e97\u306e\u9078\u3073\u65b9\u306e\u6570\u306e\u6700\u5927\u5024\u3092\u6c42\u3081\u305f\u3044\uff0e<\/p>\r\n\r\n<p>JOI \u5546\u5e97\u8857\u306e\u3059\u3067\u306b\u3042\u308b\u5e97\u304c\u7528\u610f\u3057\u305f\u30b9\u30bf\u30f3\u30d7\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u65b0\u3057\u304f\u51fa\u3059\u5e97\u306e\u5834\u6240\u3068\u7528\u610f\u3059 \u308b\u30b9\u30bf\u30f3\u30d7\u3092\u6c7a\u3081\u305f\u3068\u304d\u306e\uff0c\u5546\u54c1\u5238\u3092\u3082\u3089\u3048\u308b\u3088\u3046\u306a\u5e97\u306e\u9078\u3073\u65b9\u306e\u6570\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\uff0c1 \u3064\u306e\u6574\u6570 N \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0cJOI \u5546\u5e97\u8857\u306b\u306f\u73fe\u5728 N \u500b\u306e\u5e97\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3059\u308b\uff0e<\/li>\r\n\t<li>2 \u884c\u76ee\u306b\u306f\uff0cN \u6587\u5b57\u306e\u534a\u89d2\u82f1\u5927\u6587\u5b57 J, O, I \u306e\u307f\u304b\u3089\u306a\u308b\u6587\u5b57\u5217 S \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u6587\u5b57\u5217 S \u306e\u5de6\u304b\u3089 i \u6587\u5b57\u76ee (1 \u2266 i \u2266 N) \u306f\uff0c\u5e97 i \u304c\u7528\u610f\u3057\u305f\u30b9\u30bf\u30f3\u30d7\u306e\u7a2e\u985e\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>3 \u2266 N \u2266 100 000\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u5546\u54c1\u5238\u3092\u3082\u3089\u3048\u308b\u3088\u3046\u306a\u5e97\u306e\u9078\u3073\u65b9\u306e\u6570\u306e\u6700\u5927\u5024\u3092\u6a19\u6e96\u51fa\u529b\u306b 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e<\/p>\r\n\r\n<p>\u5546\u54c1\u5238\u3092\u3082\u3089\u3048\u308b\u3088\u3046\u306a\u5e97\u306e\u9078\u3073\u65b9\u306e\u6570\u304c 32 \u30d3\u30c3\u30c8\u7b26\u53f7\u4ed8\u304d\u6574\u6570\u306e\u7bc4\u56f2\u306b\u53ce\u307e\u308b\u3068\u306f\u9650\u3089\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u305b\u3088\uff0e<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc77c\ubcf8\uc5b4"}]

출처

Olympiad > 일본정보올림피아드 > JOI 2016 2번

  • 잘못된 조건을 찾은 사람: chogahui05
  • 문제를 번역한 사람: dlvmy