시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 37 11 11 40.741%

문제

우리가 핸드폰으로 알람시계를 설정할 때는 시간과 분을 나타내는 4개의 숫자를 입력하기 위해 키보드를 사용한다. 예를 들어, 우리가 12:30으로 알람을 설정하려고 한다면 1,2,3,0을 입력하면 되고 9시30분 같은 경우는 맨 앞에 0을 붙여 0,9,3,0을 누르면 된다.

그런데 얼마 전, 꿍은 알람시계를 맞추다가 시각을 잘못 입력했는데 화면에 나타나는 시간은 24로 나눈 나머지라는 것을 알게됐다. 마찬가지로 분 역시 60으로 나눈 나머지가 화면에 나타나는 사실을 알게됐다. 예를 들어 66:79로 시각을 잘못 입력했어도 실제로 화면에는 18:19로 나타난다는 것이다.

꿍은 매우 게을러서 원하는 알람시각을 맞추는데 최소한의 노력만 하고싶다. 그래서 여러분들은 꿍이 어떻게 하면 최소한의 노력을 들여서 원하는 시각으로 알람을 맞출 수 있을지 알아내는 프로그램을 만들어야 한다.

키보드는 위와 같이 생겼고 키 a에서 키 b로 이동할 때 필요한 노력은 다음과 같다.

effort(a,b) = |xa-xb|+|ya-yb|

여기서 (xa, ya) 와 (xb, yb)는 키a, b의 좌표를 나타낸다.

전체 노력의 합은 첫 번째 키에서 두 번째 키로 이동하는데 필요한 노력, 두 번째 키에서 세 번째 키로 이동하는데 필요한 노력, 세 번째 키에서 네 번째 키로 이동하는데 필요한 노력의 세 값의 합으로 정의된다.

예를 들어 22:45를 입력하는데 필요한 전체 노력의 값은 effort(2,2)+effort(2,4)+effort(4,5)=0+2+1=3. 이다.

만약 답이 여러 가지라면 가장 빠른 시각을 출력하라.

입력

입력의 첫 번째 줄에는 HH:MM 형식으로 설정하고 싶은 시각이 주어진다. 만약 시간이나 분이 한 자리수라면 선행하는 0이 붙어야 한다.

설정하고 싶은 시각은 00:00~23:59 중 하나이다.

출력

출력의 첫 번째 줄에는 HH:MM 형식으로 답을 출력한다. 한 자리의 수라면 선행하는 0을 붙여야 한다.

예제 입력 1

14:19

예제 출력 1

14:79
[{"problem_id":"3154","problem_lang":"0","title":"\uc54c\ub78c\uc2dc\uacc4","description":"<p>\uc6b0\ub9ac\uac00 \ud578\ub4dc\ud3f0\uc73c\ub85c \uc54c\ub78c\uc2dc\uacc4\ub97c \uc124\uc815\ud560 \ub54c\ub294 \uc2dc\uac04\uacfc \ubd84\uc744 \ub098\ud0c0\ub0b4\ub294 4\uac1c\uc758 \uc22b\uc790\ub97c \uc785\ub825\ud558\uae30 \uc704\ud574 \ud0a4\ubcf4\ub4dc\ub97c \uc0ac\uc6a9\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc6b0\ub9ac\uac00 12:30\uc73c\ub85c \uc54c\ub78c\uc744 \uc124\uc815\ud558\ub824\uace0 \ud55c\ub2e4\uba74 1,2,3,0\uc744 \uc785\ub825\ud558\uba74 \ub418\uace0 9\uc2dc30\ubd84 \uac19\uc740 \uacbd\uc6b0\ub294 \ub9e8 \uc55e\uc5d0 0\uc744 \ubd99\uc5ec 0,9,3,0\uc744 \ub204\ub974\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub7f0\ub370 \uc5bc\ub9c8 \uc804, \uafcd\uc740 \uc54c\ub78c\uc2dc\uacc4\ub97c \ub9de\ucd94\ub2e4\uac00 \uc2dc\uac01\uc744 \uc798\ubabb \uc785\ub825\ud588\ub294\ub370 \ud654\uba74\uc5d0 \ub098\ud0c0\ub098\ub294 \uc2dc\uac04\uc740 24\ub85c \ub098\ub208 \ub098\uba38\uc9c0\ub77c\ub294 \uac83\uc744 \uc54c\uac8c\ub410\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c \ubd84 \uc5ed\uc2dc 60\uc73c\ub85c \ub098\ub208 \ub098\uba38\uc9c0\uac00 \ud654\uba74\uc5d0 \ub098\ud0c0\ub098\ub294 \uc0ac\uc2e4\uc744 \uc54c\uac8c\ub410\ub2e4. \uc608\ub97c \ub4e4\uc5b4 66:79\ub85c \uc2dc\uac01\uc744 \uc798\ubabb \uc785\ub825\ud588\uc5b4\ub3c4 \uc2e4\uc81c\ub85c \ud654\uba74\uc5d0\ub294 18:19\ub85c \ub098\ud0c0\ub09c\ub2e4\ub294 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\uafcd\uc740 \ub9e4\uc6b0 \uac8c\uc744\ub7ec\uc11c \uc6d0\ud558\ub294 \uc54c\ub78c\uc2dc\uac01\uc744 \ub9de\ucd94\ub294\ub370 \ucd5c\uc18c\ud55c\uc758 \ub178\ub825\ub9cc \ud558\uace0\uc2f6\ub2e4. \uadf8\ub798\uc11c \uc5ec\ub7ec\ubd84\ub4e4\uc740 \uafcd\uc774 \uc5b4\ub5bb\uac8c \ud558\uba74 \ucd5c\uc18c\ud55c\uc758 \ub178\ub825\uc744 \ub4e4\uc5ec\uc11c \uc6d0\ud558\ub294 \uc2dc\uac01\uc73c\ub85c \uc54c\ub78c\uc744 \ub9de\ucd9c \uc218 \uc788\uc744\uc9c0 \uc54c\uc544\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images2\/alarm.png\" \/><\/p>\r\n\r\n<p>\ud0a4\ubcf4\ub4dc\ub294 \uc704\uc640 \uac19\uc774 \uc0dd\uacbc\uace0 \ud0a4 a\uc5d0\uc11c \ud0a4 b\ub85c \uc774\ub3d9\ud560 \ub54c \ud544\uc694\ud55c \ub178\ub825\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p>effort(a,b) = |x<sub>a<\/sub>-x<sub>b<\/sub>|+|y<sub>a<\/sub>-y<sub>b<\/sub>|<\/p>\r\n\r\n<p>\uc5ec\uae30\uc11c (x<sub>a<\/sub>, y<sub>a<\/sub>) \uc640 (x<sub>b<\/sub>, y<sub>b<\/sub>)\ub294 \ud0a4a, b\uc758 \uc88c\ud45c\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc804\uccb4 \ub178\ub825\uc758 \ud569\uc740 \uccab \ubc88\uc9f8 \ud0a4\uc5d0\uc11c \ub450 \ubc88\uc9f8 \ud0a4\ub85c \uc774\ub3d9\ud558\ub294\ub370 \ud544\uc694\ud55c \ub178\ub825, \ub450 \ubc88\uc9f8 \ud0a4\uc5d0\uc11c \uc138 \ubc88\uc9f8 \ud0a4\ub85c \uc774\ub3d9\ud558\ub294\ub370 \ud544\uc694\ud55c \ub178\ub825, \uc138 \ubc88\uc9f8 \ud0a4\uc5d0\uc11c \ub124 \ubc88\uc9f8 \ud0a4\ub85c \uc774\ub3d9\ud558\ub294\ub370 \ud544\uc694\ud55c \ub178\ub825\uc758 \uc138 \uac12\uc758 \ud569\uc73c\ub85c \uc815\uc758\ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 22:45\ub97c \uc785\ub825\ud558\ub294\ub370 \ud544\uc694\ud55c \uc804\uccb4 \ub178\ub825\uc758 \uac12\uc740 effort(2,2)+effort(2,4)+effort(4,5)=0+2+1=3. \uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d \ub2f5\uc774 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac01\uc744 \ucd9c\ub825\ud558\ub77c.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 HH:MM \ud615\uc2dd\uc73c\ub85c \uc124\uc815\ud558\uace0 \uc2f6\uc740 \uc2dc\uac01\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub9cc\uc57d \uc2dc\uac04\uc774\ub098 \ubd84\uc774 \ud55c \uc790\ub9ac\uc218\ub77c\uba74 \uc120\ud589\ud558\ub294 0\uc774 \ubd99\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc124\uc815\ud558\uace0 \uc2f6\uc740 \uc2dc\uac01\uc740 00:00~23:59 \uc911 \ud558\ub098\uc774\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 HH:MM \ud615\uc2dd\uc73c\ub85c \ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4. \ud55c \uc790\ub9ac\uc758 \uc218\ub77c\uba74 \uc120\ud589\ud558\ub294 0\uc744 \ubd99\uc5ec\uc57c \ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3154","problem_lang":"1","title":"alarm","description":"<p>When we set the alarm on our mobile phone, we use the keyboard to enter four digits &ndash; the hours and the minutes. For example, if the desired time is 12:30, we press the digits 1, 2, 3 and 0. One-digit numbers are entered with the leading zero (for example, the number 9 is entered by punching in 09).&nbsp;<\/p>\r\n\r\n<p>Some time ago, our friend Mirko entered the wrong time and noticed that the hours displayed on the screen are actually the remainder of the hours entered divided by 24. Similarly, minutes displayed on the screen are the remainder of the minutes entered divided by 60. For example, if he punches in 66:79, the displayed time will be 18:19.&nbsp;<\/p>\r\n\r\n<p>Mirko is very lazy so he wants to use as little effort as possible to obtain the required time. Write a program that finds what time should be entered so that the correct time is displayed, and the minimum possible total effort is used.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images2\/alarm.png\" style=\"height:131px; width:110px\" \/><\/p>\r\n\r\n<p>The effort needed for the finger to move from the key a to the key b is:&nbsp;<\/p>\r\n\r\n<p>effort(a,b) = |x<sub>a<\/sub>-x<sub>b<\/sub>|+|y<sub>a<\/sub>-y<sub>b<\/sub>|&nbsp;<\/p>\r\n\r\n<p>where (x<sub>a<\/sub>, y<sub>a<\/sub>) and (x<sub>b<\/sub>, y<sub>b<\/sub>) are the row-column coordinates of the keys a and b in the keyboard layout given in the above figure. The total effort is defined as the sum of three values: effort to move from the first to the second digit, effort to move from the second digit to the third digit, and effort to move from the third digit to the forth digit.&nbsp;<\/p>\r\n\r\n<p>For example, total effort for to enter 22:45 is effort(2,2)+effort(2,4)+effort(4,5)=0+2+1=3.&nbsp;<\/p>\r\n\r\n<p>Note: If there are multiple solutions, output the earliest time.&nbsp;<\/p>\r\n","input":"<p>The first and only line of input contains the desired time in the format HH:MM. One-digit numbers will be written with the leading zero.&nbsp;<\/p>\r\n\r\n<p>The desired time is valid and between 00:00 i 23:59, inclusive.&nbsp;<\/p>\r\n","output":"<p>The first and only line of output should contain the correct solution in the format HH:MM. One-digit numbers should be written with the leading zero.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]