시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 80 63 62 78.481%

문제

이진법 시계는 60초-60분-1시간 체계의 일반적인 시간을 이진수로 표시해주는 시계이다. 일반적으로는 3행 혹은 3열의 LED에 0 또는 1을 표시하여 시간을 표시하는 방식이 주로 쓰인다.

3열 방식은 위 왼쪽 그림과 같이 6행 3열로 이루어져 있다. 각 열은 왼쪽부터 차례대로 시간, 분, 초를 나타낸다. 각 행은 첫 행의 수는 2 5를 나타내고 그 아래 수는 24를, 그렇게 6행은 1까지의 값을 갖는다.

3행 방식은 위의 오른쪽 그림처럼 3행 6열로 이루어져 있다. 3열 방식과는 반대로 3개의 행이 각각 시간, 분, 초를 나타내며, 각 열은 1열이 2 5, 2열이 24, ... , 6열이 1을 나타낸다.

위의 시계는 두 경우 모두 10시 37분 49초이다.

시계를 읽는 방식은 두 경우 모두 행우선 좌->우로 읽는다.

예를 들어 10시 37분 49초를 나타내는 이진법 시계의 3열 방식은(위의 예제) 011001100010100011로 읽으며, 3행 방식은 001010100101110001로 읽는다.

문제에서는 1시간-60분-60초 형태에 맞는 올바른 시각 하나가 주어진다.

이제 이 시간을 이진법 시계에서의 방식으로 나타내고, 3열 방식과 3행 방식으로 읽는 프로그램을 작성하면 된다.

입력

첫 줄에 테스트 케이스의 수 N이 주어진다. (1<=N<=1000)

각 케이스마다 10진법에서의 시간, 분, 초로 나타낸 시각이 한 줄에 예제의 형식과 같이 주어진다.

출력

각 테스트 케이스마다, 3열 방식으로 읽은 이진법 시계의 시각과 3행 방식으로 읽은 이진법 시계의 시각을 공백으로 구분하여 출력한다. 각각 18개의 비트를 가져야 한다.

예제 입력 1

2
10:37:49
00:00:01

예제 출력 1

011001100010100011 001010100101110001
000000000000000001 000000000000000001
[{"problem_id":"2704","problem_lang":"0","title":"\uc774\uc9c4\ubc95 \uc2dc\uacc4","description":"<p>\uc774\uc9c4\ubc95 \uc2dc\uacc4\ub294&nbsp;60\ucd08-60\ubd84-1\uc2dc\uac04 \uccb4\uacc4\uc758 \uc77c\ubc18\uc801\uc778 \uc2dc\uac04\uc744 \uc774\uc9c4\uc218\ub85c \ud45c\uc2dc\ud574\uc8fc\ub294 \uc2dc\uacc4\uc774\ub2e4. \uc77c\ubc18\uc801\uc73c\ub85c\ub294 3\ud589 \ud639\uc740&nbsp;3\uc5f4\uc758 LED\uc5d0 0 \ub610\ub294 1\uc744 \ud45c\uc2dc\ud558\uc5ec \uc2dc\uac04\uc744 \ud45c\uc2dc\ud558\ub294 \ubc29\uc2dd\uc774 \uc8fc\ub85c \uc4f0\uc778\ub2e4.<\/p>\r\n\r\n<p><img src=\"https:\/\/www.acmicpc.net\/upload\/images\/binaryclock.png\" style=\"background-color:initial\" \/><\/p>\r\n\r\n<p>3\uc5f4&nbsp;\ubc29\uc2dd\uc740 \uc704 \uc67c\ucabd \uadf8\ub9bc\uacfc&nbsp;\uac19\uc774 6\ud589 3\uc5f4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.&nbsp;\uac01 \uc5f4\uc740 \uc67c\ucabd\ubd80\ud130 \ucc28\ub840\ub300\ub85c \uc2dc\uac04, \ubd84, \ucd08\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uac01 \ud589\uc740 \uccab&nbsp;\ud589\uc758&nbsp;\uc218\ub294 2 <sup>5<\/sup>\ub97c \ub098\ud0c0\ub0b4\uace0 \uadf8 \uc544\ub798 \uc218\ub294 2<sup>4<\/sup>\ub97c, \uadf8\ub807\uac8c 6\ud589\uc740&nbsp;1\uae4c\uc9c0\uc758 \uac12\uc744 \uac16\ub294\ub2e4.<\/p>\r\n\r\n<p>3\ud589 \ubc29\uc2dd\uc740 \uc704\uc758 \uc624\ub978\ucabd \uadf8\ub9bc\ucc98\ub7fc 3\ud589 6\uc5f4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. 3\uc5f4 \ubc29\uc2dd\uacfc\ub294 \ubc18\ub300\ub85c 3\uac1c\uc758 \ud589\uc774 \uac01\uac01 \uc2dc\uac04, \ubd84, \ucd08\ub97c \ub098\ud0c0\ub0b4\uba70, \uac01 \uc5f4\uc740&nbsp;1\uc5f4\uc774 2 <sup>5<\/sup>, 2\uc5f4\uc774 2<sup>4<\/sup>, ... , 6\uc5f4\uc774 1\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc704\uc758 \uc2dc\uacc4\ub294 \ub450 \uacbd\uc6b0 \ubaa8\ub450 10\uc2dc 37\ubd84 49\ucd08\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc2dc\uacc4\ub97c \uc77d\ub294 \ubc29\uc2dd\uc740 \ub450 \uacbd\uc6b0 \ubaa8\ub450 \ud589\uc6b0\uc120 \uc88c-&gt;\uc6b0\ub85c \uc77d\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 10\uc2dc 37\ubd84 49\ucd08\ub97c \ub098\ud0c0\ub0b4\ub294 \uc774\uc9c4\ubc95 \uc2dc\uacc4\uc758&nbsp;3\uc5f4 \ubc29\uc2dd\uc740(\uc704\uc758 \uc608\uc81c)&nbsp;011001100010100011\ub85c \uc77d\uc73c\uba70, 3\ud589 \ubc29\uc2dd\uc740 001010100101110001\ub85c \uc77d\ub294\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc81c\uc5d0\uc11c\ub294 1\uc2dc\uac04-60\ubd84-60\ucd08 \ud615\ud0dc\uc5d0 \ub9de\ub294 \uc62c\ubc14\ub978 \uc2dc\uac01 \ud558\ub098\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc81c \uc774 \uc2dc\uac04\uc744 \uc774\uc9c4\ubc95 \uc2dc\uacc4\uc5d0\uc11c\uc758 \ubc29\uc2dd\uc73c\ub85c \ub098\ud0c0\ub0b4\uace0, 3\uc5f4 \ubc29\uc2dd\uacfc 3\ud589 \ubc29\uc2dd\uc73c\ub85c \uc77d\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1&lt;=N&lt;=1000)<\/p>\r\n\r\n<p>\uac01 \ucf00\uc774\uc2a4\ub9c8\ub2e4 10\uc9c4\ubc95\uc5d0\uc11c\uc758&nbsp;\uc2dc\uac04, \ubd84, \ucd08\ub85c \ub098\ud0c0\ub0b8 \uc2dc\uac01\uc774 \ud55c \uc904\uc5d0 \uc608\uc81c\uc758 \ud615\uc2dd\uacfc \uac19\uc774&nbsp;\uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, 3\uc5f4 \ubc29\uc2dd\uc73c\ub85c \uc77d\uc740 \uc774\uc9c4\ubc95 \uc2dc\uacc4\uc758 \uc2dc\uac01\uacfc 3\ud589 \ubc29\uc2dd\uc73c\ub85c \uc77d\uc740 \uc774\uc9c4\ubc95 \uc2dc\uacc4\uc758 \uc2dc\uac01\uc744 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4. \uac01\uac01&nbsp;18\uac1c\uc758 \ube44\ud2b8\ub97c \uac00\uc838\uc57c \ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2704","problem_lang":"1","title":"Binary Clock","description":"<p>A binary clock is a clock which displays traditional sexagesimal time (military format) in a binaryformat. The most common binary clock uses three columns or three rows of LEDs to represent zeros and ones. Each column (or row) represents a time-unit value.<\/p>\r\n\r\n<p>When three columns are used (vertically), the bottom row in each column represents 1 (or 20), with each row above representing higher powers of two, up to 25 (or 32). To read each individual unit (hours, minutes or seconds) in the time, the user adds the values that each illuminated LEDrepresents, and then reads the time from left to right. The first column represents the hour, the next column represents the minute, and the last column represents the second.<\/p>\r\n\r\n<p>When three rows are used (horizontally), the right column in each row represents 1 (or 20), with each column left representing higher powers of two, up to 25 (or 32). To read each individual unit (hours, minutes or seconds) in the time, the user adds the values that each illuminated LED represents, and then reads the time from top to bottom. The top row represents the hour, the next row represents the minute, and the bottom row represents the second.<\/p>\r\n\r\n<p>For example:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/binaryclock.png\" style=\"height:303px; width:545px\" \/><\/p>\r\n\r\n<p>Time is: 10 : 37 : 49<\/p>\r\n\r\n<p>For this problem you will read a time in sexagesimal time format, and output both the vertical and horizontal binary clock values. The output will be formed by concatenating together the bits in each column (or row) to form two 18 character strings of 1&rsquo;s and 0&rsquo;s as shown below.<\/p>\r\n\r\n<p>10:37:49 would be written vertically as 011001100010100011 and horizontally as 001010100101110001.<\/p>\r\n","input":"<p>The first line of input contains a single integer N, (1 &pound; N &pound; 1000) which is the number of data sets that follow. Each data set consists of a single line of input containing the time in sexagesimal format.<\/p>\r\n","output":"<p>For each data set, you should generate one line of output with the following values: The binary time in vertical format (18 binary digits), a space and the binary time in horizontal format (18 binary digits).<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]