시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 35 11 9 34.615%

문제

전자 장비에서 숫자를 보여주기 위해 가장 많이 사용하는 장치는 7세그먼트이다. 7세그먼트느 7개의 세그먼트로 숫자를 나타낸다. 가로 세그먼트가 3개, 세로 세그먼트가 4개가 있고, 각 세그먼트느 불이 켜져있을 수도 있고, 꺼져있을 수도 있으며, 독립적으로 동작한다. 아래 그림은 0부터 9까지 숫자를 7세그먼트로 나타낸 것이다.

동시에 숫자 여러 개를 보여주려면, 7세그먼트를 여러 개 놓으면 된다. 예를 들어, 시계는 7세그먼트 4개를 이용해서 시 (00~23)와 분 (00~59)를 보여준다.

현수는 지나가다가 고장난 알람 시계를 하나 주었다. 알람 시계는 올바른 시간을 항상 보여주지 않는데, 현수는 7세그먼트의 전산이 망가진 것이 원인이라 생각한다.

알람 시계의 7세그먼트의 고장난 세그먼트는 항상 불이 켜지지 않는다. 나머지 세그먼트는 정상적으로 동작한다. 시계를 구성하는 세그먼트 28개는 완전히 고장났거나(절대 불이 켜지지 않거나), 완벽하게 동작한다(불이 정상적으로 켜지고 꺼진다).

현수는 지금이 시간이 궁금하다. 하지만, 가지고 있는 시계는 지나가다 주운 시계밖에 없다. 현수는 시계를 쳐다보면서, 1분마다 표시되는 시간을 종이에 적어놓았다. (고장난 시계이기 때문에, 시간이 몇 분 동안 바뀌지 않을 수 있다)

현수가 종이에 적어놓은 시간이 주어졌을 때, 처음 시간을 종이에 적었을 때의 시간을 구하는 프로그램을 작성하시오. 모든 세그먼트는 고장났거나 (불이 절대 켜지지 않는다) 완벽하게 동작한다 (불이 켜져야 하는 시간에는 켜지고, 꺼져야 하는 시간에는 꺼진다)

정답이 여러 가지가 나올 수 있다. 이 경우에는 가능한 정답을 모두 구한다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫째 줄에는 시계를 관찰한 시간 N이 주어진다. (1 ≤ N ≤ 50) 다음에는 N개의 시간이 주어진다. 시간의 시와 분은 두 자리 숫자이며, ':'로 구분되어져 있다. 시간은 관찰한 순서대로 주어진다.

7세그먼트가 표시하는 시간이 0-9 숫자로 나타낼 수 없는 경우가 발생할 수도 있다. 하지만, 알 수 없는 이유에 의해서 이런 현상은 현수가 시계를 관찰하는 동안 발생하지 않는다.

출력

각 테스트 케이스에 마다, 가능한 시간을 오름차순으로 모두 출력한다. 시간은 항상 올바른 시간이어야 한다. 가능한 시간이 없는 경우에는 none을 출력한다.

예제 입력 1

1 88:88
2 23:25 23:26
3 71:57 71:57 71:07

예제 출력 1

none
23:25
00:58 03:58 07:58 08:58

힌트

[{"problem_id":"3643","problem_lang":"0","title":"\ub514\uc9c0\ud138 \uc2dc\uacc4","description":"<p>\uc804\uc790 \uc7a5\ube44\uc5d0\uc11c \uc22b\uc790\ub97c \ubcf4\uc5ec\uc8fc\uae30 \uc704\ud574 \uac00\uc7a5 \ub9ce\uc774 \uc0ac\uc6a9\ud558\ub294 \uc7a5\uce58\ub294 7\uc138\uadf8\uba3c\ud2b8\uc774\ub2e4. 7\uc138\uadf8\uba3c\ud2b8\ub290 7\uac1c\uc758 \uc138\uadf8\uba3c\ud2b8\ub85c \uc22b\uc790\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uac00\ub85c \uc138\uadf8\uba3c\ud2b8\uac00 3\uac1c, \uc138\ub85c \uc138\uadf8\uba3c\ud2b8\uac00 4\uac1c\uac00 \uc788\uace0, \uac01 \uc138\uadf8\uba3c\ud2b8\ub290 \ubd88\uc774 \ucf1c\uc838\uc788\uc744 \uc218\ub3c4 \uc788\uace0, \uaebc\uc838\uc788\uc744 \uc218\ub3c4 \uc788\uc73c\uba70, \ub3c5\ub9bd\uc801\uc73c\ub85c \ub3d9\uc791\ud55c\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc740 0\ubd80\ud130 9\uae4c\uc9c0 \uc22b\uc790\ub97c 7\uc138\uadf8\uba3c\ud2b8\ub85c \ub098\ud0c0\ub0b8 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub3d9\uc2dc\uc5d0 \uc22b\uc790 \uc5ec\ub7ec \uac1c\ub97c \ubcf4\uc5ec\uc8fc\ub824\uba74, 7\uc138\uadf8\uba3c\ud2b8\ub97c \uc5ec\ub7ec \uac1c \ub193\uc73c\uba74 \ub41c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc2dc\uacc4\ub294 7\uc138\uadf8\uba3c\ud2b8 4\uac1c\ub97c \uc774\uc6a9\ud574\uc11c \uc2dc (00~23)\uc640 \ubd84 (00~59)\ub97c \ubcf4\uc5ec\uc900\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/seg1.png\" style=\"height:85px; width:559px\" \/><\/p>\r\n\r\n<p>\ud604\uc218\ub294 \uc9c0\ub098\uac00\ub2e4\uac00 \uace0\uc7a5\ub09c \uc54c\ub78c \uc2dc\uacc4\ub97c \ud558\ub098 \uc8fc\uc5c8\ub2e4. \uc54c\ub78c \uc2dc\uacc4\ub294 \uc62c\ubc14\ub978 \uc2dc\uac04\uc744 \ud56d\uc0c1 \ubcf4\uc5ec\uc8fc\uc9c0 \uc54a\ub294\ub370, \ud604\uc218\ub294 7\uc138\uadf8\uba3c\ud2b8\uc758 \uc804\uc0b0\uc774 \ub9dd\uac00\uc9c4 \uac83\uc774 \uc6d0\uc778\uc774\ub77c \uc0dd\uac01\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc54c\ub78c \uc2dc\uacc4\uc758 7\uc138\uadf8\uba3c\ud2b8\uc758 \uace0\uc7a5\ub09c \uc138\uadf8\uba3c\ud2b8\ub294 \ud56d\uc0c1 \ubd88\uc774 \ucf1c\uc9c0\uc9c0 \uc54a\ub294\ub2e4. \ub098\uba38\uc9c0 \uc138\uadf8\uba3c\ud2b8\ub294 \uc815\uc0c1\uc801\uc73c\ub85c \ub3d9\uc791\ud55c\ub2e4. \uc2dc\uacc4\ub97c \uad6c\uc131\ud558\ub294 \uc138\uadf8\uba3c\ud2b8 28\uac1c\ub294 \uc644\uc804\ud788 \uace0\uc7a5\ub0ac\uac70\ub098(\uc808\ub300 \ubd88\uc774 \ucf1c\uc9c0\uc9c0 \uc54a\uac70\ub098), \uc644\ubcbd\ud558\uac8c \ub3d9\uc791\ud55c\ub2e4(\ubd88\uc774 \uc815\uc0c1\uc801\uc73c\ub85c \ucf1c\uc9c0\uace0 \uaebc\uc9c4\ub2e4).<\/p>\r\n\r\n<p>\ud604\uc218\ub294 \uc9c0\uae08\uc774 \uc2dc\uac04\uc774 \uad81\uae08\ud558\ub2e4. \ud558\uc9c0\ub9cc, \uac00\uc9c0\uace0 \uc788\ub294 \uc2dc\uacc4\ub294 \uc9c0\ub098\uac00\ub2e4 \uc8fc\uc6b4 \uc2dc\uacc4\ubc16\uc5d0 \uc5c6\ub2e4. \ud604\uc218\ub294 \uc2dc\uacc4\ub97c \uccd0\ub2e4\ubcf4\uba74\uc11c, 1\ubd84\ub9c8\ub2e4 \ud45c\uc2dc\ub418\ub294 \uc2dc\uac04\uc744 \uc885\uc774\uc5d0 \uc801\uc5b4\ub193\uc558\ub2e4. (\uace0\uc7a5\ub09c \uc2dc\uacc4\uc774\uae30 \ub54c\ubb38\uc5d0, \uc2dc\uac04\uc774 \uba87 \ubd84 \ub3d9\uc548 \ubc14\ub00c\uc9c0 \uc54a\uc744 \uc218 \uc788\ub2e4)<\/p>\r\n\r\n<p>\ud604\uc218\uac00 \uc885\uc774\uc5d0 \uc801\uc5b4\ub193\uc740 \uc2dc\uac04\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ucc98\uc74c \uc2dc\uac04\uc744 \uc885\uc774\uc5d0 \uc801\uc5c8\uc744 \ub54c\uc758 \uc2dc\uac04\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ubaa8\ub4e0 \uc138\uadf8\uba3c\ud2b8\ub294 \uace0\uc7a5\ub0ac\uac70\ub098 (\ubd88\uc774 \uc808\ub300 \ucf1c\uc9c0\uc9c0 \uc54a\ub294\ub2e4) \uc644\ubcbd\ud558\uac8c \ub3d9\uc791\ud55c\ub2e4 (\ubd88\uc774 \ucf1c\uc838\uc57c \ud558\ub294 \uc2dc\uac04\uc5d0\ub294 \ucf1c\uc9c0\uace0, \uaebc\uc838\uc57c \ud558\ub294 \uc2dc\uac04\uc5d0\ub294 \uaebc\uc9c4\ub2e4)<\/p>\r\n\r\n<p>\uc815\ub2f5\uc774 \uc5ec\ub7ec \uac00\uc9c0\uac00 \ub098\uc62c \uc218 \uc788\ub2e4. \uc774 \uacbd\uc6b0\uc5d0\ub294 \uac00\ub2a5\ud55c \uc815\ub2f5\uc744 \ubaa8\ub450 \uad6c\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc2dc\uacc4\ub97c \uad00\ucc30\ud55c \uc2dc\uac04 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; N &le; 50) \ub2e4\uc74c\uc5d0\ub294 N\uac1c\uc758 \uc2dc\uac04\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc2dc\uac04\uc758 \uc2dc\uc640 \ubd84\uc740 \ub450 \uc790\ub9ac \uc22b\uc790\uc774\uba70, &#39;:&#39;\ub85c \uad6c\ubd84\ub418\uc5b4\uc838 \uc788\ub2e4. \uc2dc\uac04\uc740 \uad00\ucc30\ud55c \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>7\uc138\uadf8\uba3c\ud2b8\uac00 \ud45c\uc2dc\ud558\ub294 \uc2dc\uac04\uc774 0-9 \uc22b\uc790\ub85c \ub098\ud0c0\ub0bc \uc218 \uc5c6\ub294 \uacbd\uc6b0\uac00 \ubc1c\uc0dd\ud560 \uc218\ub3c4 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \uc54c \uc218 \uc5c6\ub294 \uc774\uc720\uc5d0 \uc758\ud574\uc11c \uc774\ub7f0 \ud604\uc0c1\uc740 \ud604\uc218\uac00 \uc2dc\uacc4\ub97c \uad00\ucc30\ud558\ub294 \ub3d9\uc548 \ubc1c\uc0dd\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub9c8\ub2e4, \uac00\ub2a5\ud55c \uc2dc\uac04\uc744 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ubaa8\ub450 \ucd9c\ub825\ud55c\ub2e4. \uc2dc\uac04\uc740 \ud56d\uc0c1 \uc62c\ubc14\ub978 \uc2dc\uac04\uc774\uc5b4\uc57c \ud55c\ub2e4. \uac00\ub2a5\ud55c \uc2dc\uac04\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 none\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3643","problem_lang":"1","title":"Digital Clock","description":"<p>Electronic equipment commonly uses 7-segment elements to show numbers. A 7-segment element gets its name because it uses 7 line segments to show a shape: 3 horizontal segments and 4 vertical segments. Each segment can be independently switched on and off, making it possible to show any digit from 0 to 9.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/seg1.png\" style=\"height:85px; width:559px\" \/><\/p>\r\n\r\n<p>To show more than 1 digit at the same time, a larger display is constructed by putting multiple 7-segment elements next to each other. In this case, each segment in each digit can be independently switched on and off. For example, electronic alarm clocks typically use four 7-segment elements to show the time of day: two digits for the hour (00 to 23) and two digits for the minutes (00 to 59).<\/p>\r\n\r\n<p>You managed to \ufb01nd an old alarm clock in a dusty corner of the basement. Unfortunately, it does not seem to work very well: it does not always show the correct time. You suspect that this is due to faulty wires in the 7-segment display.<\/p>\r\n\r\n<p>As a result of the faults, some of the segments may not be working at all; they never light up, no matter which digits the clock tries to put on its display. On the other hand, the segments that do sometimes light up should all be working correctly. You thus assume that each of the 28 segments on the clock is either completely broken (never lights up) or is working perfectly \ufb01ne (lights up precisely when it should).<\/p>\r\n\r\n<p>You want to know what time it is, of course, but the silly clock is not making it very easy. You have been watching the clock for some time, writing down the pattern of digits on its display every minute. (Note that it is possible that the display stays the same for a few minutes. When that happens, you just write down the same pattern several times.)<\/p>\r\n\r\n<p>Your task is to \ufb01nd out what time the clock was really trying to show when you wrote down the \ufb01rst pattern of the sequence. The answer must be consistent with all observations of the clock display, for the \ufb01rst minute as well as for the following minutes, under the assumption that each display segment is either completely broken (never lights up) or is working perfectly \ufb01ne.<\/p>\r\n\r\n<p>There may be multiple possible answers. In that case, you should make a list of all possible answers, in order of increasing time of day.<\/p>\r\n\r\n<p>It is still possible that the clock is really broken in some other way than just faulty segments. In that case, it may happen that there is no possible answer which is consistent with all observations.<\/p>\r\n","input":"<p>For each test case, there is one line of input containing the following items:<\/p>\r\n\r\n<ul>\r\n\t<li>A positive integer N (1 &le; N &le; 50), the number of minutes you have been watching the clock.<\/li>\r\n\t<li>N items, each representing a pattern of digits that was observed on the clock. Each pattern is formatted as two decimal digits, followed by a &lsquo;:&rsquo; character, followed by two more decimal digits. The patterns are listed in the order in which they were seen on the clock.<\/li>\r\n<\/ul>\r\n\r\n<p>It is theoretically possible for a faulty 7-segment display to show a shape which does not correspond to any of the digits from 0 to 9. However, for some mysterious reason, this never happened during the time you were watching the clock.<\/p>\r\n","output":"<p>For each test case, give one line of output.<\/p>\r\n\r\n<p>If there is at least one possible answer, print a list of all possible answers separated by spaces. Each possible answer must be a valid 24-hour clock time, formatted as two digits (00 to 23), followed by a &lsquo;:&rsquo; character, followed by two digits (00 to 59). The list of possible answers must be printed in order of increasing time of day.<\/p>\r\n\r\n<p>If there is no possible answer, print the word &lsquo;none&rsquo;.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2012 D번

  • 문제를 번역한 사람: baekjoon
  • 잘못된 번역을 찾은 사람: cokcjswo