시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 111 55 50 55.556%

문제

디지털시계는 일반적으로 시각을 “hh:mm:ss”의 형태로 표현한다. hh는 00 이상 23 이하의 값을, mm과 ss는 00 이상 59 이하의 값을 가질 수 있다. 이러한 형태의 시각에서 콜론(“:”)을 제거하면 “hhmmss”라는 정수를 얻을 수 있는데, 이러한 정수를 시계 정수라고 한다. 예를 들어, 오후 5시 5분 13초, 즉 17:05:13의 시계 정수는 170513이고, 오전 0시 7분 37초, 즉 00:07:37의 시계 정수는 737이다.

이 문제에서 시간이란 시각의 구간을 나타낸다. 예를 들어 [00:59:58, 01:01:24]와 같이 시작하는 시각과 끝나는 시각으로 이루어진 구간을 우리는 시간이라고 부른다. (이러한 구간에는 시작하는 시간과 끝나는 시간도 포함된다)

이렇게 시간이 구간으로 주어지면, 그 구간에 포함되는 시계 정수들을 나열할 수 있다. 예를 들어 [00:59:58, 01:01:24]에 포함되는 시계 정수는 5958, 5959, 다음으로 10000 이상 10059 이하, 마지막으로 10100 이상 10124 이하로 총 87개가 된다. 우리는 이처럼 특정한 시간에 포함되는 시계 정수들 중, 3의 배수인 것이 몇 개나 있는지를 알고 싶다.

시간은 자정을 포함할 수도 있다. 즉 [23:59:03, 00:01:24]처럼 시작하는 시각의 시계 정수(235903)가 끝나는 시각의 시계 정수(124)보다 클 수도 있다. 물론 이 경우 이 구간에 포함되는 시계 정수는 235903 이상 235959 이하, 0 이상 59 이하, 100 이상 124 이하가 된다. 모든 구간이 포함하는 시간은 만 하루, 즉 24시간보다는 항상 작다고 가정해도 좋다.

시간이 시작하는 시각과 끝나는 시각으로 주어졌을 때, 이 구간에 포함되는 시계 정수들 중, 3의 배수인 것의 개수를 구하는 프로그램을 작성하시오.

입력

세 개의 입력이 주어진다. 첫째 줄부터 세 줄에 걸쳐 시작하는 시각과 끝나는 시각이 “hh:mm:ss”의 형태로 주어진다. 시작하는 시각과 끝나는 시각 사이에는 빈 칸이 하나 있어서, 한 줄마다 (빈 칸을 포함하여) 총 17글자가 입력으로 주어진다. 시작하는 시각과 끝나는 시각은 항상 다르다.

출력

첫째 줄부터 세 개의 줄에 걸쳐 입력된 구간에 포함되는 시계 정수들 중, 3의 배수인 것의 개수를 출력한다. 입력된 순서대로 각 줄에 한 개씩 차례로 출력하면 된다.

예제 입력 1

00:59:58 01:01:24
22:47:03 01:03:24
00:00:09 00:03:37

예제 출력 1

29
2727
70
[{"problem_id":"1942","problem_lang":"0","title":"\ub514\uc9c0\ud138\uc2dc\uacc4","description":"<p><img width=\"212\" height=\"135\" alt=\"\" src=\"\/JudgeOnline\/upload\/201007\/cc.png\" \/><\/p>\r\n<p>\ub514\uc9c0\ud138\uc2dc\uacc4\ub294 \uc77c\ubc18\uc801\uc73c\ub85c \uc2dc\uac01\uc744 &ldquo;hh:mm:ss&rdquo;\uc758 \ud615\ud0dc\ub85c \ud45c\ud604\ud55c\ub2e4. hh\ub294 00 \uc774\uc0c1 23 \uc774\ud558\uc758 \uac12\uc744, mm\uacfc ss\ub294 00 \uc774\uc0c1 59 \uc774\ud558\uc758 \uac12\uc744 \uac00\uc9c8 \uc218 \uc788\ub2e4. \uc774\ub7ec\ud55c \ud615\ud0dc\uc758 \uc2dc\uac01\uc5d0\uc11c \ucf5c\ub860(&ldquo;:&rdquo;)\uc744 \uc81c\uac70\ud558\uba74 &ldquo;hhmmss&rdquo;\ub77c\ub294 \uc815\uc218\ub97c \uc5bb\uc744 \uc218 \uc788\ub294\ub370, \uc774\ub7ec\ud55c \uc815\uc218\ub97c \uc2dc\uacc4 \uc815\uc218\ub77c\uace0 \ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc624\ud6c4 5\uc2dc 5\ubd84 13\ucd08, \uc989 17:05:13\uc758 \uc2dc\uacc4 \uc815\uc218\ub294 170513\uc774\uace0, \uc624\uc804 0\uc2dc 7\ubd84 37\ucd08, \uc989 00:07:37\uc758 \uc2dc\uacc4 \uc815\uc218\ub294 737\uc774\ub2e4.<\/p>\r\n<p>\uc774 \ubb38\uc81c\uc5d0\uc11c \uc2dc\uac04\uc774\ub780 \uc2dc\uac01\uc758 \uad6c\uac04\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc608\ub97c \ub4e4\uc5b4 [00:59:58, 01:01:24]\uc640 \uac19\uc774 \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uacfc \ub05d\ub098\ub294 \uc2dc\uac01\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uad6c\uac04\uc744 \uc6b0\ub9ac\ub294 \uc2dc\uac04\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. (\uc774\ub7ec\ud55c \uad6c\uac04\uc5d0\ub294 \uc2dc\uc791\ud558\ub294 \uc2dc\uac04\uacfc \ub05d\ub098\ub294 \uc2dc\uac04\ub3c4 \ud3ec\ud568\ub41c\ub2e4)<\/p>\r\n<p>\uc774\ub807\uac8c \uc2dc\uac04\uc774 \uad6c\uac04\uc73c\ub85c \uc8fc\uc5b4\uc9c0\uba74, \uadf8 \uad6c\uac04\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub4e4\uc744 \ub098\uc5f4\ud560 \uc218 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4 [00:59:58, 01:01:24]\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub294 5958, 5959, \ub2e4\uc74c\uc73c\ub85c 10000 \uc774\uc0c1 10059 \uc774\ud558, \ub9c8\uc9c0\ub9c9\uc73c\ub85c 10100 \uc774\uc0c1 10124 \uc774\ud558\ub85c \ucd1d 87\uac1c\uac00 \ub41c\ub2e4. \uc6b0\ub9ac\ub294 \uc774\ucc98\ub7fc \ud2b9\uc815\ud55c \uc2dc\uac04\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub4e4 \uc911, 3\uc758 \ubc30\uc218\uc778 \uac83\uc774 \uba87 \uac1c\ub098 \uc788\ub294\uc9c0\ub97c \uc54c\uace0 \uc2f6\ub2e4.<\/p>\r\n<p>\uc2dc\uac04\uc740 \uc790\uc815\uc744 \ud3ec\ud568\ud560 \uc218\ub3c4 \uc788\ub2e4. \uc989 [23:59:03, 00:01:24]\ucc98\ub7fc \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uc758 \uc2dc\uacc4 \uc815\uc218(235903)\uac00 \ub05d\ub098\ub294 \uc2dc\uac01\uc758 \uc2dc\uacc4 \uc815\uc218(124)\ubcf4\ub2e4 \ud074 \uc218\ub3c4 \uc788\ub2e4. \ubb3c\ub860 \uc774 \uacbd\uc6b0 \uc774 \uad6c\uac04\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub294 235903 \uc774\uc0c1 235959 \uc774\ud558, 0 \uc774\uc0c1 59 \uc774\ud558, 100 \uc774\uc0c1 124 \uc774\ud558\uac00 \ub41c\ub2e4. \ubaa8\ub4e0 \uad6c\uac04\uc774 \ud3ec\ud568\ud558\ub294 \uc2dc\uac04\uc740 \ub9cc \ud558\ub8e8, \uc989 24\uc2dc\uac04\ubcf4\ub2e4\ub294 \ud56d\uc0c1 \uc791\ub2e4\uace0 \uac00\uc815\ud574\ub3c4 \uc88b\ub2e4.<\/p>\r\n<p>\uc2dc\uac04\uc774 \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uacfc \ub05d\ub098\ub294 \uc2dc\uac01\uc73c\ub85c \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774 \uad6c\uac04\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub4e4 \uc911, 3\uc758 \ubc30\uc218\uc778 \uac83\uc758 \uac1c\uc218\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>","input":"<p>\uc138 \uac1c\uc758 \uc785\ub825\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uccab\uc9f8 \uc904\ubd80\ud130 \uc138 \uc904\uc5d0 \uac78\uccd0 \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uacfc \ub05d\ub098\ub294 \uc2dc\uac01\uc774 &ldquo;hh:mm:ss&rdquo;\uc758 \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uacfc \ub05d\ub098\ub294 \uc2dc\uac01 \uc0ac\uc774\uc5d0\ub294 \ube48 \uce78\uc774 \ud558\ub098 \uc788\uc5b4\uc11c, \ud55c \uc904\ub9c8\ub2e4 (\ube48 \uce78\uc744 \ud3ec\ud568\ud558\uc5ec) \ucd1d 17\uae00\uc790\uac00 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc2dc\uc791\ud558\ub294 \uc2dc\uac01\uacfc \ub05d\ub098\ub294 \uc2dc\uac01\uc740 \ud56d\uc0c1 \ub2e4\ub974\ub2e4.<\/p>","output":"<p>\uccab\uc9f8 \uc904\ubd80\ud130 \uc138 \uac1c\uc758 \uc904\uc5d0 \uac78\uccd0 \uc785\ub825\ub41c \uad6c\uac04\uc5d0 \ud3ec\ud568\ub418\ub294 \uc2dc\uacc4 \uc815\uc218\ub4e4 \uc911, 3\uc758 \ubc30\uc218\uc778 \uac83\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uc785\ub825\ub41c \uc21c\uc11c\ub300\ub85c \uac01 \uc904\uc5d0 \ud55c \uac1c\uc529 \ucc28\ub840\ub85c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1942","problem_lang":"1","title":"Digital Clock","description":"<p><img alt=\"\" src=\"\/upload\/images\/dclock.png\" style=\"float:right; height:194px; width:292px\" \/>Digital clocks usually show the time in the form hh:mm:ss, where hh is a number between 00 and 23, and both mm and ss are numbers between 00 and 59. Removing the colons from hh:mm:ss will result in an integer hhmmss, which is called a clock integer. For example, the clock integer of 17:05:13 is 170513 and the clock integer of 00:07:37 is 737.&nbsp;<\/p>\r\n\r\n<p>You are given a time interval and you are to determine the number of clock integers in it that are multiples of 3. A time interval will be given by specifying its start and end time. For example, the time interval [00:59:58, 01:01:24] has a total of 1+1+60+25=87 clock integers, namely, 5958, 5959, 10000 through 10059, and 10100 through 10124. How many of them are multiples of 3?&nbsp;<\/p>\r\n\r\n<p>Note that a time interval that includes midnight may have a start time greater than its end time, as in [22:47:03, 01:03:24]. You may assume that a time interval is at least one second long and shorter than 24 hours.<\/p>\r\n\r\n<p>Write a program that can determine the number of multiples of 3 in a time interval.&nbsp;<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case consists of a single line that contains the start time and end time of a time interval, which are separated by a single space.<\/p>\r\n","output":"<p>Your program is to write to standard output. Each test case outputs exactly one line. Print the number of multiples of 3 among the clock integers in the time interval.&nbsp;<\/p>\r\n\r\n<p>The following shows a sample input with three test cases and its output.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]