시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 139 35 26 23.214%

문제

아람이는 고등학교를 졸업하였다. 아람이네 마을에서는 학교의 모든 졸업생들이 참가할 수 있는 다양한 파티가 관습처럼 열리고 있다. 파티를 좋아하는 아람이는 최대한 많은 파티에 참가하려고 한다. 

평일에 열리는 파티는 저녁에만 두세개가 열리지만 토요일에는 하루종일 많은 파티들이 열린다. 어떤 파티는 아침 8시에 시작하여 자정(24시)에 끝나기도 한다. 아람이는 최대한 많은 파티에 참가하고 싶다.

각각의 파티는 시작시간과 끝시간이 정해져있다. 파티는 정각에 시작하여 정각에 끝난다. 예를 들어 10시에 파티가 시작한 파티가 오후2시(14시)에 끝날 수도 있고 가장 일찍 시작하는 파티는 아침 8시에 시작하고 이웃들의 항의가 있을 수 있기 때문에 아무리 늦게 끝나도 24시에는 끝나게 된다. 파티에 있을 때는 최소한 30분은 있어야 예의에 어긋나지 않는다. 아람이는 예의를 지키는 사람이다. 아람이는 축지법을 쓰기 때문에 파티간 이동시간은 신경쓰지 않아도 된다. 더 이상 참가할 파티가 없으면 아람이는 집에 돌아간다.

아람이가 갈 수 있는 최대 파티 수는 몇개인지 찾는 프로그램을 작성하시오.

입력

여러개의 테스트케이스가 주어진다 각 테스트케이스는 첫번째 줄에 정수 p가 주어진다. (p≤100) 이 p는 파티의 그 날에 열리는 파티의 수이다. p가 0이면 입력의 끝을 의미한다. 이어지는 p개의 줄에는 s 와 e가 주어진다. (8 ≤ s < e ≤ 24) s는 파티의 시작시간을 의미하고 e는 파티가 끝나는 시간을 의미한다. 시작시간과 끝시간이 같은 파티가 주어질 수도 있다.

출력

다음의 출력형식에 맞추어 출력하시오

On day d Emma can attend as many as n parties.

n은 최대 갈 수 있는 파티의 수이고 d는 몇번째 테스트 케이스인지를 가리킨다. 테스트케이스는 1부터 시작한다.

예제 입력 1

8
12 13
13 14
12 13
9 10
9 10
12 13
12 14
9 11
3
14 15
14 15
14 15
0

예제 출력 1

On day 1 Emma can attend as many as 7 parties.
On day 2 Emma can attend as many as 2 parties.
[{"problem_id":"4055","problem_lang":"0","title":"\ud30c\ud2f0\uac00 \uc88b\uc544 \ud30c\ud2f0\uac00 \uc88b\uc544","description":"<p>\uc544\ub78c\uc774\ub294 \uace0\ub4f1\ud559\uad50\ub97c \uc878\uc5c5\ud558\uc600\ub2e4. \uc544\ub78c\uc774\ub124 \ub9c8\uc744\uc5d0\uc11c\ub294&nbsp;\ud559\uad50\uc758 \ubaa8\ub4e0 \uc878\uc5c5\uc0dd\ub4e4\uc774 \ucc38\uac00\ud560 \uc218 \uc788\ub294 \ub2e4\uc591\ud55c \ud30c\ud2f0\uac00&nbsp;\uad00\uc2b5\ucc98\ub7fc \uc5f4\ub9ac\uace0 \uc788\ub2e4. \ud30c\ud2f0\ub97c \uc88b\uc544\ud558\ub294 \uc544\ub78c\uc774\ub294&nbsp;\ucd5c\ub300\ud55c \ub9ce\uc740 \ud30c\ud2f0\uc5d0 \ucc38\uac00\ud558\ub824\uace0 \ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ud3c9\uc77c\uc5d0 \uc5f4\ub9ac\ub294 \ud30c\ud2f0\ub294 \uc800\ub141\uc5d0\ub9cc&nbsp;\ub450\uc138\uac1c\uac00 \uc5f4\ub9ac\uc9c0\ub9cc&nbsp;\ud1a0\uc694\uc77c\uc5d0\ub294 \ud558\ub8e8\uc885\uc77c \ub9ce\uc740 \ud30c\ud2f0\ub4e4\uc774 \uc5f4\ub9b0\ub2e4.&nbsp;\uc5b4\ub5a4 \ud30c\ud2f0\ub294&nbsp;\uc544\uce68 8\uc2dc\uc5d0 \uc2dc\uc791\ud558\uc5ec&nbsp;\uc790\uc815(24\uc2dc)\uc5d0 \ub05d\ub098\uae30\ub3c4 \ud55c\ub2e4. \uc544\ub78c\uc774\ub294 \ucd5c\ub300\ud55c \ub9ce\uc740 \ud30c\ud2f0\uc5d0 \ucc38\uac00\ud558\uace0 \uc2f6\ub2e4.<\/p>\r\n\r\n<p>\uac01\uac01\uc758 \ud30c\ud2f0\ub294 \uc2dc\uc791\uc2dc\uac04\uacfc \ub05d\uc2dc\uac04\uc774 \uc815\ud574\uc838\uc788\ub2e4. \ud30c\ud2f0\ub294 \uc815\uac01\uc5d0 \uc2dc\uc791\ud558\uc5ec \uc815\uac01\uc5d0 \ub05d\ub09c\ub2e4. \uc608\ub97c \ub4e4\uc5b4 10\uc2dc\uc5d0 \ud30c\ud2f0\uac00 \uc2dc\uc791\ud55c \ud30c\ud2f0\uac00 \uc624\ud6c42\uc2dc(14\uc2dc)\uc5d0 \ub05d\ub0a0 \uc218\ub3c4 \uc788\uace0 \uac00\uc7a5 \uc77c\ucc0d \uc2dc\uc791\ud558\ub294 \ud30c\ud2f0\ub294 \uc544\uce68 8\uc2dc\uc5d0 \uc2dc\uc791\ud558\uace0 \uc774\uc6c3\ub4e4\uc758 \ud56d\uc758\uac00 \uc788\uc744 \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0&nbsp;\uc544\ubb34\ub9ac&nbsp;\ub2a6\uac8c \ub05d\ub098\ub3c4 24\uc2dc\uc5d0\ub294&nbsp;\ub05d\ub098\uac8c \ub41c\ub2e4. \ud30c\ud2f0\uc5d0 \uc788\uc744 \ub54c\ub294 \ucd5c\uc18c\ud55c 30\ubd84\uc740 \uc788\uc5b4\uc57c \uc608\uc758\uc5d0 \uc5b4\uae0b\ub098\uc9c0 \uc54a\ub294\ub2e4. \uc544\ub78c\uc774\ub294 \uc608\uc758\ub97c \uc9c0\ud0a4\ub294 \uc0ac\ub78c\uc774\ub2e4. \uc544\ub78c\uc774\ub294 \ucd95\uc9c0\ubc95\uc744 \uc4f0\uae30 \ub54c\ubb38\uc5d0 \ud30c\ud2f0\uac04 \uc774\ub3d9\uc2dc\uac04\uc740 \uc2e0\uacbd\uc4f0\uc9c0 \uc54a\uc544\ub3c4 \ub41c\ub2e4. \ub354 \uc774\uc0c1&nbsp;\ucc38\uac00\ud560 \ud30c\ud2f0\uac00 \uc5c6\uc73c\uba74 \uc544\ub78c\uc774\ub294 \uc9d1\uc5d0 \ub3cc\uc544\uac04\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub78c\uc774\uac00 \uac08 \uc218 \uc788\ub294 \ucd5c\ub300 \ud30c\ud2f0 \uc218\ub294 \uba87\uac1c\uc778\uc9c0 \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc5ec\ub7ec\uac1c\uc758 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4 \uac01 \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\ub294 \uccab\ubc88\uc9f8 \uc904\uc5d0 \uc815\uc218 p\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;(p&le;100) \uc774 p\ub294 \ud30c\ud2f0\uc758 \uadf8 \ub0a0\uc5d0 \uc5f4\ub9ac\ub294 \ud30c\ud2f0\uc758 \uc218\uc774\ub2e4. p\uac00 0\uc774\uba74 \uc785\ub825\uc758 \ub05d\uc744 \uc758\ubbf8\ud55c\ub2e4. \uc774\uc5b4\uc9c0\ub294 p\uac1c\uc758 \uc904\uc5d0\ub294 s \uc640 e\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (8 &le; s &lt; e &le; 24) s\ub294 \ud30c\ud2f0\uc758 \uc2dc\uc791\uc2dc\uac04\uc744 \uc758\ubbf8\ud558\uace0 e\ub294 \ud30c\ud2f0\uac00 \ub05d\ub098\ub294 \uc2dc\uac04\uc744 \uc758\ubbf8\ud55c\ub2e4. \uc2dc\uc791\uc2dc\uac04\uacfc \ub05d\uc2dc\uac04\uc774 \uac19\uc740 \ud30c\ud2f0\uac00 \uc8fc\uc5b4\uc9c8 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n","output":"<p>\ub2e4\uc74c\uc758 \ucd9c\ub825\ud615\uc2dd\uc5d0 \ub9de\ucd94\uc5b4 \ucd9c\ub825\ud558\uc2dc\uc624<\/p>\r\n\r\n<pre>\r\nOn day d Emma can attend as many as n parties.<\/pre>\r\n\r\n<p>n\uc740 \ucd5c\ub300 \uac08 \uc218 \uc788\ub294 \ud30c\ud2f0\uc758 \uc218\uc774\uace0 d\ub294 \uba87\ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc778\uc9c0\ub97c \uac00\ub9ac\ud0a8\ub2e4. \ud14c\uc2a4\ud2b8\ucf00\uc774\uc2a4\ub294 1\ubd80\ud130 \uc2dc\uc791\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4055","problem_lang":"1","title":"Party Party Party","description":"<p>Emma has just graduated high school and it is the custom for the new graduates to throw parties for themselves and invite everyone in school to attend. Naturally, Emma wishes to attend as many parties as possible. This is not such a problem on a weekday since usually there are only two or three parties in the evening. But, Saturdays are packed! Typically some parties start at 8 AM (breakfast is served) while others might end at midnight (much to the annoyance of the neighbors). Emma naturally wants to know how many parties she can attend.<\/p>\r\n\r\n<p>Each party has a starting and stopping time, which are on the hour. These are listed via a 24-hour clock. For example, a party might start at 10 AM (10) and end at 2 PM (14). The earliest a party can start is 8 AM (8) and the latest it can end is midnight (24). In order not to be rude, Emma stays at each party at least one half hour and will consider traveling time between parties to be instantaneous. If there are times during the day when there are no parties to attend, she&rsquo;ll simply go home and rest.<\/p>\r\n","input":"<p>There will be multiple test cases. Each test case starts with a line containing an integer p (&le; 100) indicating the number of parties on the given day. (A value of p = 0 indicates end of input.) The following p lines are each of the form s e, both integers where 8 &le; s &lt; e &le; 24, indicating a party that starts at time s and ends at time e. Note there may be multiple parties with the same starting and ending time.<\/p>\r\n","output":"<p>For each input set output a line of the form<\/p>\r\n\r\n<pre>On day d Emma can attend as many as n parties.<\/pre>\r\n\r\n<p>where you determine the value of n and d is the number of the test case starting at 1.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]