문제
N+1개의 I와 N개의 O로 이루어져 있으면, I와 O이 교대로 나오는 문자열을 PN이라고 한다.
- P1
IOI
- P2
IOIOI
- P3
IOIOIOI
- PN
IOIOI...OI (O가 N개)
I와 O로만 이루어진 문자열 S와 정수 N이 주어졌을 때, S안에 PN이 몇 군데 포함되어 있는지 구하는 프로그램을 작성하시오.
출력
S에 PN이 몇 군데 포함되어 있는지 출력한다.
제한
- 1 ≤ N ≤ 1,000,000
- 2N+1 ≤ M ≤ 1,000,000
- S는
I와 O로만 이루어져 있다.
서브태스크
| 번호 | 배점 | 제한 | | 1 | 50 | N ≤ 100, M ≤ 10 000.
|
| 2 | 50 | 추가적인 제약 조건이 없다.
|
OOIOIOIOIIOIIOOIOIOIOIIOIIOOIOIOIOIIOIIOOIOIOIOIIOII
OOIOIOIOIIOIIOOIOIOIOIIOII
[{"problem_id":"5525","problem_lang":"0","title":"IOIOI","description":"<p>N+1\uac1c\uc758 <code>I<\/code>\uc640 N\uac1c\uc758 <code>O<\/code>\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba74, <code>I<\/code>\uc640 <code>O<\/code>\uc774 \uad50\ub300\ub85c \ub098\uc624\ub294 \ubb38\uc790\uc5f4\uc744 P<sub>N<\/sub>\uc774\ub77c\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>P<sub>1<\/sub> <code>IOI<\/code><\/li>\r\n\t<li>P<sub>2<\/sub> <code>IOIOI<\/code><\/li>\r\n\t<li>P<sub>3<\/sub> <code>IOIOIOI<\/code><\/li>\r\n\t<li>P<sub>N<\/sub> <code>IOIOI...OI<\/code> (<code>O<\/code>\uac00 N\uac1c)<\/li>\r\n<\/ul>\r\n\r\n<p><code>I<\/code>\uc640 <code>O<\/code>\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc9c4 \ubb38\uc790\uc5f4 S\uc640 \uc815\uc218 N\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, S\uc548\uc5d0 P<sub>N<\/sub>\uc774 \uba87 \uad70\ub370 \ud3ec\ud568\ub418\uc5b4 \uc788\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 S\uc758 \uae38\uc774 M\uc774 \uc8fc\uc5b4\uc9c0\uba70, \uc14b\uc9f8 \uc904\uc5d0 S\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>S\uc5d0 P<sub>N<\/sub>\uc774 \uba87 \uad70\ub370 \ud3ec\ud568\ub418\uc5b4 \uc788\ub294\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>1 &le; N &le; 1,000,000<\/li>\r\n\t<li>2N+1 &le; M &le; 1,000,000<\/li>\r\n\t<li>S\ub294 <code>I<\/code>\uc640 <code>O<\/code>\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>N &le; 100, M &le; 10 000.<\/p>\r\n","subtask2":"<p>\ucd94\uac00\uc801\uc778 \uc81c\uc57d \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n","sample_explain_1":"<ul>\r\n\t<li><code>OO<u>IOI<\/u>OIOIIOII<\/code><\/li>\r\n\t<li><code>OOIO<u>IOI<\/u>OIIOII<\/code><\/li>\r\n\t<li><code>OOIOIO<u>IOI<\/u>IOII<\/code><\/li>\r\n\t<li><code>OOIOIOIOI<u>IOI<\/u>I<\/code><\/li>\r\n<\/ul>\r\n","sample_explain_2":"<ul>\r\n\t<li><code>OO<u>IOIOI<\/u>OIIOII<\/code><\/li>\r\n\t<li><code>OOIO<u>IOIOI<\/u>IOII<\/code><\/li>\r\n<\/ul>\r\n"},{"problem_id":"5525","problem_lang":"2","title":"IOIOI (IOIOI)","description":"<p>1 \u4ee5\u4e0a\u306e\u6574\u6570 N \u306b\u5bfe\u3057\uff0cN + 1 \u500b\u306e <code>I<\/code> \u3068 N \u500b\u306e <code>O<\/code> \u3092 <code>I<\/code> \u304b\u3089\u59cb\u3081\u3066\u4ea4\u4e92\u306b\u4e26\u3079\u3066\u3067\u304d\u308b\u6587\u5b57\u5217\u3092 P<sub>N<\/sub> \u3068\u3059\u308b\uff0e\u3053\u3053\u3067 <code>I<\/code> \u3068 <code>O<\/code> \u306f\u305d\u308c\u305e\u308c\u82f1\u5927\u6587\u5b57\u306e\u30a2\u30a4\u3068\u30aa\u30fc\u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li>P<sub>1<\/sub>&nbsp;<code>IOI<\/code><\/li>\r\n\t<li>P<sub>2<\/sub>&nbsp;<code>IOIOI<\/code><\/li>\r\n\t<li>P<sub>3<\/sub>&nbsp;<code>IOIOI<\/code><\/li>\r\n\t<li>P<sub>N<\/sub>&nbsp;<code>IOIOI...OI<\/code> (<code>O<\/code> \u304c N \u500b)<\/li>\r\n<\/ul>\r\n\r\n<p>\u6574\u6570 N \u3068\uff0cI \u3068 O \u306e\u307f\u304b\u3089\u306a\u308b\u6587\u5b57\u5217 S \u304c\u4e0e\u3048\u3089\u308c\u305f\u3068\u304d\uff0cS \u306e\u4e2d\u306b P<sub>N<\/sub> \u304c\u4f55\u30f6\u6240\u542b\u307e\u308c\u3066\u3044\u308b\u304b\u3092\u6c42\u3081\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u305b\u3088\uff0e<\/p>\r\n","input":"<p><span style=\"line-height:1.6em\">\u6a19\u6e96\u5165\u529b\u304b\u3089\u4ee5\u4e0b\u306e\u30c7\u30fc\u30bf\u3092\u8aad\u307f\u8fbc\u3081\uff0e<\/span><\/p>\r\n\r\n<ul>\r\n\t<li>1 \u884c\u76ee\u306b\u306f\u6574\u6570 N \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n\t<li>2 \u884c\u76ee\u306b\u306f\u6574\u6570 M \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e\u3053\u308c\u306f\uff0c\u5165\u529b\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u308b\u6587\u5b57\u5217 S \u306e\u9577\u3055\u304c M \u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3059\uff0e<\/li>\r\n\t<li>3 \u884c\u76ee\u306b\u306f\u9577\u3055 M \u306e\u6587\u5b57\u5217 S \u304c\u66f8\u304b\u308c\u3066\u3044\u308b\uff0e<\/li>\r\n<\/ul>\r\n","output":"<p>\u6a19\u6e96\u51fa\u529b\u306b\uff0c\u6587\u5b57\u5217 S \u306b\u6587\u5b57\u5217 P<sub>N<\/sub> \u304c\u4f55\u30f6\u6240\u542b\u307e\u308c\u3066\u3044\u308b\u304b\u3092\u8868\u3059\u6574\u6570\u3092 1 \u884c\u3067\u51fa\u529b\u305b\u3088. \u3082\u3057 S \u306b P<sub>N<\/sub>\u304c\u542b\u307e\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u306f\uff0c0 \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; N &le; 1 000 000\uff0e<\/li>\r\n\t<li>2N + 1 &le; M &le; 1 000 000\uff0e<\/li>\r\n\t<li>\u6587\u5b57\u5217 S \u306f <code>I<\/code> \u3068 <code>O<\/code> \u306e\u307f\u304b\u3089\u306a\u308b\uff0e<\/li>\r\n<\/ul>\r\n","subtask1":"<p>N &le; 100, M &le; 10 000.<\/p>\r\n","subtask2":"<p>\u8ffd\u52a0\u306e\u5236\u9650\u306f\u306a\u3044\uff0e<\/p>\r\n","sample_explain_1":"<p>P<sub>1<\/sub> \u306f <code>IOI<\/code> \u3067\u3042\u308a\uff0c\u56f3 2 \u306b\u793a\u3057\u305f 4\u30f6\u6240\u306b\u542b\u307e\u308c\u3066\u3044\u308b\uff0e\u3088\u3063\u3066\uff0c\u51fa\u529b\u306f 4 \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li><code>OO<u>IOI<\/u>OIOIIOII<\/code><\/li>\r\n\t<li><code>OOIO<u>IOI<\/u>OIIOII<\/code><\/li>\r\n\t<li><code>OOIOIO<u>IOI<\/u>IOII<\/code><\/li>\r\n\t<li><code>OOIOIOIOI<u>IOI<\/u>I<\/code><\/li>\r\n<\/ul>\r\n\r\n<p>\u56f3 2 N = 1\uff0cS \u304c <code>OOIOIOIOIIOII<\/code> \u306e\u5834\u5408\u306e\u4f8b<\/p>\r\n","sample_explain_2":"<p>P<sub>2<\/sub> \u306f <code>IOIOI<\/code> \u3067\u3042\u308a\uff0c\u56f3 3 \u306b\u793a\u3057\u305f 2\u30f6\u6240\u306b\u542b\u307e\u308c\u3066\u3044\u308b\uff0e\u3088\u3063\u3066\uff0c\u51fa\u529b\u306f 2 \u3067\u3042\u308b\uff0e<\/p>\r\n\r\n<ul>\r\n\t<li><code>OO<u>IOIOI<\/u>OIIOII<\/code><\/li>\r\n\t<li><code>OOIO<u>IOIOI<\/u>IOII<\/code><\/li>\r\n<\/ul>\r\n\r\n<p>\u56f3 3 N = 2\uff0cS \u304c <code>OOIOIOIOIIOII<\/code> \u306e\u5834\u5408\u306e\u4f8b<\/p>\r\n"}]