시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB334908028.369%

문제

IOI 국가는 최근 새로운 열차 노선인 IOI선을 개통했다.

IOI 열차는 한 칸짜리 단위 열차 여러 대가 연결된 모습을 하고 있으며 단위 열차의 종류는 I 또는 O이다.

안전을 위해 IOI 열차의 인접한 칸은 서로 다른 종류여야 하며, 운전석은 I칸에만 있기 때문에 열차의 양 끝 칸은 항상 I여야 한다.

예를 들어 OIOI나 IOOI와 같은 열차는 불가능하다.

열차는 각 차량의 종류를 나타낸 문자를 순서대로 이어 붙인 문자열로 나타낼 수 있으며 문자열의 길이가 곧 열차의 길이이다.

예를 들어 열차 IOIOI의 길이는 5이며 열차 I는 길이 1의 열차가 된다.

이제 IOI선의 개통 전날이다.

역사적인 첫 운행을 맡게 된 차장 승택이는 가능한 한 많은 승객을 태울 수 있도록 현재 보관 중인 단위 열차들을 이어 붙여 한 대의 긴 IOI 열차를 만들려고 한다.

현재 단위 열차 I 또는 O 여러 대가 두 차고지에 일렬로 주차되어 있다.

두 차고지 중 어디서 열차를 꺼낼 지는 자유지만, 열차를 들어서 옮길 수는 없기 때문에 차고의 입구에 가까운 열차부터 차례차례 꺼낼 수밖에 없다.

단, 열차 편성이 시작되기 전에 각 차고지에서 원하는 만큼씩 열차를 미리 외부 차고로 보내둘 수가 있다.

한 번 외부 차고로 보낸 열차칸은 열차를 편성할 때 사용할 수 없다.

또한 한 번 열차 편성이 시작된 다음엔 외부 차고로 열차를 보낼 수 없다.

위는 예제 입력에 대응하는 그림이다. 열차 편성이 시작되면 더 이상 외부 차고를 이용할 수가 없으며,

외부 차고의 열차는 열차 편성에 이용할 수가 없다.

승택이는 적절히 차량 대기소로 열차를 보낸 뒤 규칙에 맞게 열차를 이어붙여 한 대의 긴 IOI 열차를 만들 것이다.

이때 얼마나 긴 열차를 만들 수 있을까?

입력

첫 줄에 차고 S에 저장된 열차의 수 N, 차고 T에 주차된 열차의 수 M이 주어진다. (1 ≤ N ≤ 2000, 1 ≤ M ≤ 2000)

두 번째 줄에 차고 S에 저장된 열차들이 문자열 한 줄로 주어진다.

세 번째 줄에 차고 T에 저장된 열차들이 문자열 한 줄로 주어진다.

문자열의 첫 글자가 차고의 입구 쪽에 주차된 열차이다.

출력

첫 줄에 가장 긴 열차의 길이를 출력한다.

열차를 만들 수 없다면 0을 출력한다.

예제 입력 1

5 5
OIOOI
OOIOI

예제 출력 1

7

예제 입력 2

5 9
IIIII
IIIIIIIII

예제 출력 2

1
[{"problem_id":"5528","problem_lang":"0","title":"\ub2ec\ub824\ub77c IOI \uc5f4\ucc28","description":"<p>IOI \uad6d\uac00\ub294 \ucd5c\uadfc \uc0c8\ub85c\uc6b4 \uc5f4\ucc28 \ub178\uc120\uc778 IOI\uc120\uc744 \uac1c\ud1b5\ud588\ub2e4.<\/p>\r\n\r\n<p>IOI \uc5f4\ucc28\ub294 \ud55c \uce78\uc9dc\ub9ac \ub2e8\uc704 \uc5f4\ucc28 \uc5ec\ub7ec \ub300\uac00 \uc5f0\uacb0\ub41c \ubaa8\uc2b5\uc744 \ud558\uace0 \uc788\uc73c\uba70 \ub2e8\uc704 \uc5f4\ucc28\uc758 \uc885\ub958\ub294 I \ub610\ub294 O\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc548\uc804\uc744 \uc704\ud574 IOI \uc5f4\ucc28\uc758 \uc778\uc811\ud55c \uce78\uc740 \uc11c\ub85c \ub2e4\ub978 \uc885\ub958\uc5ec\uc57c \ud558\uba70, \uc6b4\uc804\uc11d\uc740 I\uce78\uc5d0\ub9cc \uc788\uae30 \ub54c\ubb38\uc5d0 \uc5f4\ucc28\uc758 \uc591 \ub05d \uce78\uc740 \ud56d\uc0c1 I\uc5ec\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 OIOI\ub098 IOOI\uc640 \uac19\uc740 \uc5f4\ucc28\ub294 \ubd88\uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\uc5f4\ucc28\ub294 \uac01 \ucc28\ub7c9\uc758 \uc885\ub958\ub97c \ub098\ud0c0\ub0b8 \ubb38\uc790\ub97c \uc21c\uc11c\ub300\ub85c \uc774\uc5b4 \ubd99\uc778 \ubb38\uc790\uc5f4\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\uc73c\uba70 \ubb38\uc790\uc5f4\uc758 \uae38\uc774\uac00 \uace7 \uc5f4\ucc28\uc758 \uae38\uc774\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 \uc5f4\ucc28 IOIOI\uc758 \uae38\uc774\ub294 5\uc774\uba70 \uc5f4\ucc28 I\ub294 \uae38\uc774 1\uc758 \uc5f4\ucc28\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc81c IOI\uc120\uc758 \uac1c\ud1b5 \uc804\ub0a0\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc5ed\uc0ac\uc801\uc778 \uccab \uc6b4\ud589\uc744 \ub9e1\uac8c \ub41c \ucc28\uc7a5 \uc2b9\ud0dd\uc774\ub294 \uac00\ub2a5\ud55c \ud55c \ub9ce\uc740 \uc2b9\uac1d\uc744 \ud0dc\uc6b8 \uc218 \uc788\ub3c4\ub85d \ud604\uc7ac \ubcf4\uad00 \uc911\uc778 \ub2e8\uc704 \uc5f4\ucc28\ub4e4\uc744 \uc774\uc5b4 \ubd99\uc5ec \ud55c \ub300\uc758 \uae34 IOI \uc5f4\ucc28\ub97c \ub9cc\ub4e4\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc7ac \ub2e8\uc704 \uc5f4\ucc28 I \ub610\ub294 O \uc5ec\ub7ec \ub300\uac00 \ub450 \ucc28\uace0\uc9c0\uc5d0 \uc77c\ub82c\ub85c \uc8fc\ucc28\ub418\uc5b4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ucc28\uace0\uc9c0 \uc911 \uc5b4\ub514\uc11c \uc5f4\ucc28\ub97c \uaebc\ub0bc \uc9c0\ub294 \uc790\uc720\uc9c0\ub9cc, \uc5f4\ucc28\ub97c \ub4e4\uc5b4\uc11c \uc62e\uae38 \uc218\ub294 \uc5c6\uae30 \ub54c\ubb38\uc5d0 \ucc28\uace0\uc758 \uc785\uad6c\uc5d0 \uac00\uae4c\uc6b4 \uc5f4\ucc28\ubd80\ud130 \ucc28\ub840\ucc28\ub840 \uaebc\ub0bc \uc218\ubc16\uc5d0 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ub2e8, \uc5f4\ucc28 \ud3b8\uc131\uc774 \uc2dc\uc791\ub418\uae30 \uc804\uc5d0 \uac01 \ucc28\uace0\uc9c0\uc5d0\uc11c \uc6d0\ud558\ub294 \ub9cc\ud07c\uc529 \uc5f4\ucc28\ub97c \ubbf8\ub9ac \uc678\ubd80 \ucc28\uace0\ub85c \ubcf4\ub0b4\ub458 \uc218\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ud55c \ubc88 \uc678\ubd80 \ucc28\uace0\ub85c \ubcf4\ub0b8 \uc5f4\ucc28\uce78\uc740 \uc5f4\ucc28\ub97c \ud3b8\uc131\ud560 \ub54c \uc0ac\uc6a9\ud560 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ub610\ud55c \ud55c \ubc88 \uc5f4\ucc28 \ud3b8\uc131\uc774 \uc2dc\uc791\ub41c \ub2e4\uc74c\uc5d4 \uc678\ubd80 \ucc28\uace0\ub85c \uc5f4\ucc28\ub97c \ubcf4\ub0bc \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p><img src=\"\/userupload\/portableangel\/201503\/fa214681ab0667ce9886dc4007d09f80.png\" \/><\/p>\r\n\r\n<p>\uc704\ub294 \uc608\uc81c \uc785\ub825\uc5d0 \ub300\uc751\ud558\ub294 \uadf8\ub9bc\uc774\ub2e4. \uc5f4\ucc28 \ud3b8\uc131\uc774 \uc2dc\uc791\ub418\uba74 \ub354 \uc774\uc0c1 \uc678\ubd80 \ucc28\uace0\ub97c \uc774\uc6a9\ud560 \uc218\uac00 \uc5c6\uc73c\uba70,<\/p>\r\n\r\n<p>\uc678\ubd80 \ucc28\uace0\uc758 \uc5f4\ucc28\ub294 \uc5f4\ucc28 \ud3b8\uc131\uc5d0 \uc774\uc6a9\ud560 \uc218\uac00 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc2b9\ud0dd\uc774\ub294 \uc801\uc808\ud788 \ucc28\ub7c9 \ub300\uae30\uc18c\ub85c \uc5f4\ucc28\ub97c \ubcf4\ub0b8 \ub4a4 \uaddc\uce59\uc5d0 \ub9de\uac8c \uc5f4\ucc28\ub97c \uc774\uc5b4\ubd99\uc5ec \ud55c \ub300\uc758 \uae34 IOI \uc5f4\ucc28\ub97c \ub9cc\ub4e4 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub54c \uc5bc\ub9c8\ub098 \uae34 \uc5f4\ucc28\ub97c \ub9cc\ub4e4 \uc218 \uc788\uc744\uae4c?<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ucc28\uace0 S\uc5d0 \uc800\uc7a5\ub41c \uc5f4\ucc28\uc758 \uc218 N, \ucc28\uace0 T\uc5d0 \uc8fc\ucc28\ub41c \uc5f4\ucc28\uc758 \uc218 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 2000, 1 &le; M &le; 2000)<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \ucc28\uace0 S\uc5d0 \uc800\uc7a5\ub41c \uc5f4\ucc28\ub4e4\uc774 \ubb38\uc790\uc5f4 \ud55c \uc904\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc138 \ubc88\uc9f8 \uc904\uc5d0 \ucc28\uace0 T\uc5d0 \uc800\uc7a5\ub41c \uc5f4\ucc28\ub4e4\uc774 \ubb38\uc790\uc5f4 \ud55c \uc904\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc790\uc5f4\uc758 \uccab \uae00\uc790\uac00 \ucc28\uace0\uc758 \uc785\uad6c \ucabd\uc5d0 \uc8fc\ucc28\ub41c \uc5f4\ucc28\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab \uc904\uc5d0 \uac00\uc7a5 \uae34 \uc5f4\ucc28\uc758 \uae38\uc774\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc5f4\ucc28\ub97c \ub9cc\ub4e4 \uc218 \uc5c6\ub2e4\uba74 0\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5528","problem_lang":"2","title":"IOI \u5217\u8eca\u3067\u884c\u3053\u3046 (Take the \u2018IOI\u2019 train)","description":"<p>IOI \u56fd\u3067\u306f\u3053\u306e\u305f\u3073\u65b0\u305f\u306b\u9244\u9053\u3092\u6577\u8a2d\u3057\u305f\uff0eIOI \u56fd\u306e\u9244\u9053\u3092\u8d70\u308b\u5217\u8eca\u306f\u3044\u304f\u3064\u304b\u306e\u8eca\u4e21\u304c\u9023\u7d50\u3055\u308c\u305f\u3082\u306e\u3067\u3042\u308a\uff0c\u8eca\u4e21\u306b\u306f I, O \u306e 2 \u7a2e\u985e\u304c\u3042\u308b\uff0e\u8eca\u4e21\u306f\u305d\u308c\u305e\u308c\u7570\u306a\u308b\u7a2e\u985e\u306e\u8eca\u4e21\u3068\u3057\u304b\u9023\u7d50\u3067\u304d\u306a\u3044\uff0e\u307e\u305f\uff0c\u5217\u8eca\u306b\u904b\u8ee2\u5e2d\u3092\u8a2d\u3051\u308b\u95a2\u4fc2\u4e0a\uff0c\u5217\u8eca\u306e\u4e21\u7aef\u306e\u8eca\u4e21\u306f\u7a2e\u985e I \u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\uff0e\u5217\u8eca\u306f\u8eca\u4e21\u306e\u7a2e\u985e\u3092\u8868\u3059\u6587\u5b57\u3092\u9806\u306b\u3064\u306a\u3052\u305f\u6587\u5b57\u5217\u3067\u8868\u3055\u308c\uff0c\u5217\u8eca\u306e\u9577\u3055\u306f\u305d\u306e\u6587\u5b57\u5217\u306e\u9577\u3055\u3067\u3042\u308b\u3068\u3059\u308b\uff0e\u305f\u3068\u3048\u3070\uff0c IOIOI \u306e\u9806\u306b\u8eca\u4e21\u3092\u9023\u7d50\u3059\u308b\u3068\u9577\u3055 5 \u306e\u5217\u8eca\u3092\u7de8\u6210\u3067\u304d\uff0c\u307e\u305f\u8eca\u4e21 I \u306f\u5358\u72ec\u3067\u9577\u3055 1 \u306e\u5217\u8eca\u3067\u3042\u308b\uff0e\u8eca\u4e21\u3092 OIOI \u3084IOOI \u3068\u3044\u3063\u305f\u9806\u306b\u4e26\u3079\u3066\u3082\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/p>\r\n\r\n<p>\u3044\u304f\u3064\u304b\u306e\u8eca\u4e21\u304c 2 \u3064\u306e\u8eca\u5eab\u306b\u683c\u7d0d\u3055\u308c\u3066\u3044\u308b\uff0e\u305d\u308c\u305e\u308c\u306e\u8eca\u5eab\u306e\u4e2d\u306b\u306f\u8eca\u4e21\u304c\u4e00\u5217\u306b\u4e26\u3093\u3067\u3044\u308b\uff0e\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u3068\u304d\u306f\u8eca\u5eab\u304b\u3089\u8eca\u4e21\u3092\u51fa\u3057\u3066\u304d\u3066\u8eca\u5eab\u524d\u3067\u9023\u7d50\u3057\u3066\u3044\u304f\uff0e\u8eca\u5eab\u304b\u3089\u51fa\u305b\u308b\u8eca\u4e21\u306f\u6700\u3082\u8eca\u5eab\u306e\u5165\u308a\u53e3\u306b\u8fd1\u3044\u8eca\u4e21\u306e\u307f\u3067\u3042\u308b\u304c\uff0c\u3069\u3061\u3089\u306e\u8eca\u5eab\u304b\u3089\u8eca\u4e21\u3092\u51fa\u3059\u304b\u306e\u9806\u756a\u306b\u3064\u3044\u3066\u306f\u81ea\u7531\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<p>\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u524d\u306b\uff0c\u8eca\u4e21\u3092\u597d\u304d\u306a\u3060\u3051\u8eca\u5eab\u304b\u3089\u51fa\u3057\u3066\u5225\u306e\u5f85\u6a5f\u7528\u30ec\u30fc\u30eb\u306b\u79fb\u3059\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u4e00\u5ea6\u5f85\u6a5f\u7528\u30ec\u30fc\u30eb\u306b\u79fb\u3057\u305f\u8eca\u4e21\u306f\u4eca\u5f8c\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u305f\u3081\u306b\u4f7f\u3046\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e\u307e\u305f\uff0c\u4e00\u5ea6\u5217\u8eca\u306e\u7de8\u6210\u3092\u59cb\u3081\u308b\u3068\u305d\u306e\u7de8\u6210\u304c\u7d42\u308f\u308b\u307e\u3067\u306e\u9593\u306f\u8eca\u4e21\u3092\u8eca\u5eab\u304b\u3089\u5f85\u6a5f\u7528\u30ec\u30fc\u30eb\u306b\u79fb\u3059\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e<\/p>\r\n\r\n<p>\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u3068\u304d\uff0c\u8eca\u5eab\u5185\u306e\u5168\u3066\u306e\u8eca\u4e21\u3092\u4f7f\u3044\u5207\u308b\u5fc5\u8981\u306f\u306a\u3044\uff0e\u3059\u306a\u308f\u3061\uff0c\u5217\u8eca\u306e\u7de8\u6210\u3092\u7d42\u3048\u305f\u5f8c\uff0c\u8eca\u5eab\u5185\u306b\u4f7f\u308f\u308c\u306a\u304b\u3063\u305f\u8eca\u4e21\u304c\u6b8b\u3063\u3066\u3044\u3066\u3082\u69cb\u308f\u306a\u3044\uff0e<\/p>\r\n\r\n<p>IOI \u56fd\u3067\u306f\u9244\u9053\u306b\u4e57\u308b\u4eba\u304c\u3068\u3066\u3082\u305f\u304f\u3055\u3093\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u308b\u306e\u3067\uff0c\u3067\u304d\u308b\u3060\u3051\u9577\u3044\u5217\u8eca\u3092\u7de8\u6210\u3057\u305f\u3044\uff0e<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images3\/train.png\" style=\"height:249px; width:542px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\u56f3: \u5217\u8eca\u3092\u7de8\u6210\u3057\u3066\u3044\u308b\u9014\u4e2d\u3067\u3042\u308a\uff0c\u3053\u306e\u3068\u304d\u8eca\u5eab\u306b\u3042\u308b\u8eca\u4e21\u3092\u5f85\u6a5f\u7528\u30ec\u30fc\u30eb\u306b\u79fb\u3059\u3053\u3068\u306f\u3067\u304d\u306a\u3044\uff0e\u3053\u306e\u56f3\u306f\u5165\u51fa\u529b\u4f8b 1 \u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\uff0e<\/p>\r\n\r\n<p>\u8eca\u5eab\u306b\u683c\u7d0d\u3055\u308c\u305f\u8eca\u4e21\u306e\u60c5\u5831\u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0c\u7de8\u6210\u3067\u304d\u308b\u5217\u8eca\u306e\u9577\u3055\u306e\u6700\u5927\u5024\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e\u305d\u308c\u305e\u308c\u306e\u8eca\u5eab\u306b\u683c\u7d0d\u3055\u308c\u305f\u8eca\u4e21\u306e\u5217\u306f 2 \u7a2e\u985e\u306e\u6587\u5b57 I, O \u306e\u307f\u304b\u3089\u306a\u308b\u6587\u5b57\u5217\u3067\u8868\u3055\u308c\uff0c 2 \u3064\u306e\u8eca\u5eab\u306e\u60c5\u5831\u306f\u305d\u308c\u305e\u308c\u9577\u3055 M \u306e\u6587\u5b57\u5217 S \u304a\u3088\u3073\u9577\u3055 N \u306e\u6587\u5b57\u5217 T \u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u308b\uff0e\u5404\u6587\u5b57\u304c 1 \u3064\u306e\u8eca\u4e21\u3092\u8868\u3057\uff0c\u305d\u306e\u6587\u5b57\u306f\u8eca\u4e21\u306e\u7a2e\u985e\u3068\u540c\u3058\u3067\u3042\u308b\uff0e\u6587\u5b57\u5217\u306e 1 \u6587\u5b57\u76ee\u306f\u6700\u3082\u8eca\u5eab\u306e\u5165\u308a\u53e3\u306b\u8fd1\u3044\u8eca\u4e21\u3092\u8868\u3057\uff0c\u672b\u5c3e\u306e\u6587\u5b57\u304c\u8eca\u5eab\u306e\u6700\u3082\u5965\u306b\u3042\u308b\u8eca\u4e21\u3092\u8868\u3059\uff0e<\/p>\r\n","input":"<p>\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u30c7\u30fc\u30bf\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f M, N \u304c\u7a7a\u767d\u533a\u5207\u308a\u3067\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n\t<li>2 \u884c\u76ee\u306b\u306f\u6587\u5b57\u5217 S \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n\t<li>3 \u884c\u76ee\u306b\u306f\u6587\u5b57\u5217 T \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u7de8\u6210\u3067\u304d\u308b\u5217\u8eca\u306e\u9577\u3055\u306e\u6700\u5927\u5024\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088\uff0e \u5217\u8eca\u304c 1 \u3064\u3082\u7de8\u6210\u3067\u304d\u306a\u3044\u5834\u5408\u306f\uff0c 0 \u3092\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 &le; M &le; 2 000 \u6587\u5b57\u5217 S \u306e\u9577\u3055<\/li>\r\n\t<li>1 &le; N &le; 2 000 \u6587\u5b57\u5217 T \u306e\u9577\u3055<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>S \u306b\u3088\u3063\u3066\u8868\u3055\u308c\u308b\u8eca\u5eab\u3092\u8eca\u5eab S \u3068\u3057\uff0cT \u306b\u3088\u3063\u3066\u8868\u3055\u308c\u308b\u8eca\u5eab\u3092\u8eca\u5eab T \u3068\u3057\u3088\u3046\uff0e\u3053\u306e\u3068\u304d\uff0c\u305f\u3068\u3048 \u3070\u8eca\u5eab S \u304b\u3089\u6700\u521d\u306e 1 \u8eca\u4e21\uff0c\u8eca\u5eab T \u304b\u3089\u6700\u521d\u306e 2 \u8eca\u4e21\u3092\u51fa\u3057\u3066\u5f85\u6a5f\u3055\u305b\u305f\u5f8c\uff0c\u8eca\u5eab S\uff0c\u8eca\u5eab S\uff0c\u8eca\u5eab T\uff0c\u8eca \u5eab S\uff0c\u8eca\u5eab S\uff0c\u8eca\u5eab T\uff0c\u8eca\u5eab T \u306e\u9806\u756a\u306b\u8eca\u4e21\u3092\u51fa\u305b\u3070\uff0c\u9577\u3055 7 \u306e\u5217\u8eca <code>IOIOIOI<\/code> \u3092\u7de8\u6210\u3067\u304d\u308b\uff0e<\/p>\r\n\r\n<p>\u4ed6\u306b\u3082\uff0c\u8eca\u5eab S \u304b\u3089\u6700\u521d\u306e 1 \u8eca\u4e21\uff0c\u8eca\u5eab T \u304b\u3089\u6700\u521d\u306e 2 \u8eca\u4e21\u3092\u51fa\u3057\u3066\u5f85\u6a5f\u3055\u305b\u305f\u5f8c\uff0c\u8eca\u5eab T\uff0c\u8eca\u5eab T\uff0c \u8eca\u5eab S\uff0c\u8eca\u5eab S\uff0c\u8eca\u5eab T\uff0c\u8eca\u5eab S\uff0c\u8eca\u5eab S \u306e\u9806\u756a\u306b\u8eca\u4e21\u3092\u51fa\u3059\u3053\u3068\u3067\u3082\u9577\u3055 7 \u306e\u5217\u8eca\u3092\u7de8\u6210\u3067\u304d\u308b\uff0e\u3053\u308c\u3088 \u308a\u9577\u3044\u5217\u8eca\u3092\u7de8\u6210\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067 7 \u3092\u51fa\u529b\u3059\u308b\uff0e<\/p>\r\n","sample_explain_2":"<p>1 \u3064\u306e\u8eca\u4e21\u306e\u307f\u304b\u3089\u306a\u308b\u5217\u8eca <code>I<\/code> \u3082\u5217\u8eca\u3068\u3057\u3066\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3053\u3068\u306b\u6ce8\u610f\u305b\u3088\uff0e<\/p>\r\n"}]

출처

Olympiad > Japanese Olympiad in Informatics > JOI 2013 2번