시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 154 73 69 47.260%

문제

홍준이가 자주 가는 호프에 폭탄이 설치되었다는 신고가 들어왔다. 홍준이는 즉시 호프로 달려갔다.

폭탄을 잠시 살펴보니 술집에 설치된 폭탄은 해체하기 매우 까다로운 폭탄이었다. 홍준이는 폭탄의 상단에 숫자가 표시되고 있다는 점에 주목했다.

잠시 인터넷으로 폭탄 해체법을 검색해보니, 폭탄의 상단에 표시되는 숫자를 코드라고 한다는 것을 알게 되었다. 또, 코드가 6으로 나누어 떨어질 때 전선을 잘라야 한다고 나왔다.

폭탄의 코드가 주어졌을 때, 전선을 자르면 폭탄을 해체할 수 있는지, 폭탄이 폭발하는지 구하는 프로그램을 작성하시오.

입력

입력으로 폭탄의 코드가 주어진다. 코드는 2자리 이상, 8자리 이하이고, 각 자리는 5행 3열의 문자로 주어진다. 문자는 공백과 별표('*') 중 하나이다. 또, 각 숫자를 구분하기 위해 숫자 사이에는 빈 칸이 하나씩 있다.

모든 숫자는 5×3 크기이지만, 올바르지 않은 숫자가 주어질 수도 있다. 올바르지 않은 숫자가 주어진 경우에는 전선을 자르면 안된다.

0부터 9까지 숫자를 5×3으로 나타내는 방법은 아래에 나와있다.

### ### ### ### ### ### ### ### ### ###
***   * *** *** * * *** *** *** *** ***
* *   *   *   * * * *   *     * * * * *
* *   * *** *** *** *** ***   * *** ***
* *   * *     *   *   * * *   * * *   *
***   * *** ***   * *** ***   * *** ***

그림 1. 맨 위의 #는 열을 알아보기 쉽게 하기 위해 주어진 문자이다.

코드는 0으로 시작하는 숫자일 수도 있다. 예를 들어, 00000076는 76이다.

출력

첫째 줄에 입력으로 주어진 코드인 경우에 전선을 잘라도 되면 "BEER!!"를, 자르면 폭발하는 경우에는 "BOOM!!"을 출력한다.

예제 입력 1

***   * * * *** *** *** ***
* *   * * *   *   *   * *  
* *   * *** *** *** *** ***
* *   *   * *     * *   * *
***   *   * *** *** *** ***

예제 출력 1

BEER!!

예제 입력 2

  *   * *** *** *** * *
  *   * **    * * * * *
  *   * *** *** *** ***
  *   * *   *   * *   *
  *   * *** *** ***   *

예제 출력 2

BOOM!!

예제 입력 3

*** ***   * *** *** *
*   * *   * * *   * *
*** * *   * *** *** *
  * * *   *   * *   *
*** ***   * *** *** *

예제 출력 3

BOOM!!

예제 입력 4

*** *** *** * * ***
  *   *   * * * * *
***   * *** *** ***
*     *   *   * * *
***   * ***   * ***

예제 출력 4

BEER!!
[{"problem_id":"9242","problem_lang":"0","title":"\ud3ed\ud0c4 \ud574\uccb4","description":"<p>\ud64d\uc900\uc774\uac00 \uc790\uc8fc \uac00\ub294 \ud638\ud504\uc5d0 \ud3ed\ud0c4\uc774 \uc124\uce58\ub418\uc5c8\ub2e4\ub294 \uc2e0\uace0\uac00 \ub4e4\uc5b4\uc654\ub2e4. \ud64d\uc900\uc774\ub294 \uc989\uc2dc \ud638\ud504\ub85c \ub2ec\ub824\uac14\ub2e4.<\/p>\r\n\r\n<p>\ud3ed\ud0c4\uc744 \uc7a0\uc2dc \uc0b4\ud3b4\ubcf4\ub2c8 \uc220\uc9d1\uc5d0 \uc124\uce58\ub41c \ud3ed\ud0c4\uc740 \ud574\uccb4\ud558\uae30 \ub9e4\uc6b0 \uae4c\ub2e4\ub85c\uc6b4 \ud3ed\ud0c4\uc774\uc5c8\ub2e4. \ud64d\uc900\uc774\ub294 \ud3ed\ud0c4\uc758 \uc0c1\ub2e8\uc5d0 \uc22b\uc790\uac00 \ud45c\uc2dc\ub418\uace0 \uc788\ub2e4\ub294 \uc810\uc5d0 \uc8fc\ubaa9\ud588\ub2e4.<\/p>\r\n\r\n<p>\uc7a0\uc2dc \uc778\ud130\ub137\uc73c\ub85c \ud3ed\ud0c4 \ud574\uccb4\ubc95\uc744 \uac80\uc0c9\ud574\ubcf4\ub2c8, \ud3ed\ud0c4\uc758 \uc0c1\ub2e8\uc5d0 \ud45c\uc2dc\ub418\ub294 \uc22b\uc790\ub97c \ucf54\ub4dc\ub77c\uace0 \ud55c\ub2e4\ub294 \uac83\uc744 \uc54c\uac8c \ub418\uc5c8\ub2e4. \ub610,&nbsp;\ucf54\ub4dc\uac00 6\uc73c\ub85c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c8 \ub54c \uc804\uc120\uc744 \uc798\ub77c\uc57c \ud55c\ub2e4\uace0 \ub098\uc654\ub2e4.<\/p>\r\n\r\n<p>\ud3ed\ud0c4\uc758 \ucf54\ub4dc\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc804\uc120\uc744 \uc790\ub974\uba74 \ud3ed\ud0c4\uc744 \ud574\uccb4\ud560 \uc218 \uc788\ub294\uc9c0, \ud3ed\ud0c4\uc774 \ud3ed\ubc1c\ud558\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc73c\ub85c \ud3ed\ud0c4\uc758 \ucf54\ub4dc\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ucf54\ub4dc\ub294 2\uc790\ub9ac \uc774\uc0c1, 8\uc790\ub9ac \uc774\ud558\uc774\uace0, \uac01 \uc790\ub9ac\ub294 5\ud589 3\uc5f4\uc758 \ubb38\uc790\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ubb38\uc790\ub294 \uacf5\ubc31\uacfc \ubcc4\ud45c(&#39;*&#39;) \uc911 \ud558\ub098\uc774\ub2e4. \ub610, \uac01 \uc22b\uc790\ub97c \uad6c\ubd84\ud558\uae30 \uc704\ud574 \uc22b\uc790 \uc0ac\uc774\uc5d0\ub294 \ube48 \uce78\uc774 \ud558\ub098\uc529 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc22b\uc790\ub294 5&times;3 \ud06c\uae30\uc774\uc9c0\ub9cc, \uc62c\ubc14\ub974\uc9c0 \uc54a\uc740 \uc22b\uc790\uac00 \uc8fc\uc5b4\uc9c8 \uc218\ub3c4 \uc788\ub2e4. \uc62c\ubc14\ub974\uc9c0 \uc54a\uc740 \uc22b\uc790\uac00 \uc8fc\uc5b4\uc9c4 \uacbd\uc6b0\uc5d0\ub294 \uc804\uc120\uc744 \uc790\ub974\uba74 \uc548\ub41c\ub2e4.<\/p>\r\n\r\n<p>0\ubd80\ud130 9\uae4c\uc9c0 \uc22b\uc790\ub97c 5&times;3\uc73c\ub85c \ub098\ud0c0\ub0b4\ub294 \ubc29\ubc95\uc740 \uc544\ub798\uc5d0 \ub098\uc640\uc788\ub2e4.<\/p>\r\n\r\n<pre>\r\n### ### ### ### ### ### ### ### ### ###\r\n***   * *** *** * * *** *** *** *** ***\r\n* *   *   *   * * * *   *     * * * * *\r\n* *   * *** *** *** *** ***   * *** ***\r\n* *   * *     *   *   * * *   * * *   *\r\n***   * *** ***   * *** ***   * *** ***\r\n<\/pre>\r\n\r\n<p>\uadf8\ub9bc 1. \ub9e8 \uc704\uc758 #\ub294 \uc5f4\uc744 \uc54c\uc544\ubcf4\uae30 \uc27d\uac8c \ud558\uae30 \uc704\ud574 \uc8fc\uc5b4\uc9c4 \ubb38\uc790\uc774\ub2e4.<\/p>\r\n\r\n<p>\ucf54\ub4dc\ub294 0\uc73c\ub85c \uc2dc\uc791\ud558\ub294 \uc22b\uc790\uc77c \uc218\ub3c4 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4, 00000076\ub294 76\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \ucf54\ub4dc\uc778 \uacbd\uc6b0\uc5d0 \uc804\uc120\uc744 \uc798\ub77c\ub3c4 \ub418\uba74 &quot;BEER!!&quot;\ub97c, \uc790\ub974\uba74 \ud3ed\ubc1c\ud558\ub294 \uacbd\uc6b0\uc5d0\ub294 &quot;BOOM!!&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9242","problem_lang":"1","title":"Timebomb","description":"<p>You and your teammates from the anti-bomb squad of the local police have been called to defuse a bomb found in the only pub in town. Fearing the tragic consequences this might produce, you go to the scene as quickly as possible. After some research, you learn that the bad guys have created a tricky way to allow them to defuse the bomb at will. You \ufb01nd a remote control with a button that you can take to a safe place. You also \ufb01nd that it is possible to connect to the bomb through a wireless connection and retrieve an ASCII representation of a code every 2 seconds. The bomb then gets defused if the button is pressed when the code is a number divisible by 6. But you have to be careful. If you press the button when the ASCII representation of the code is not a number divisible by 6 or has an invalid representation for any digit, the bomb will explode instead. You have to rely on your programming skills to write a program able to tell you if it is safe to press the button, before it blows out the pub (and the beer).<\/p>\r\n","input":"<p>The input consists of an ASCII representation of a code. This code has between 2 and 8 digits. Each digit is represented by 5 rows and 3 columns of characters, which can be either a space or a star character &rsquo;*&rsquo;. No other type of character (except for the new line character) will ever appear in the input. There is also one column of spaces (and only spaces) to separate each digit. After the last digit you will \ufb01nd a column of new line characters. Note that although every digit will always be of size 5 &nbsp;3, there is no guarantee it will represent a valid digit between 0 and 9 inclusive. The valid 5 &nbsp;3 representations for each digit are given below in Figure F.1.<\/p>\r\n\r\n<pre>\r\n### ### ### ### ### ### ### ### ### ###\r\n***   * *** *** * * *** *** *** *** ***\r\n* *   *   *   * * * *   *     * * * * *\r\n* *   * *** *** *** *** ***   * *** ***\r\n* *   * *     *   *   * * *   * * *   *\r\n***   * *** ***   * *** ***   * *** ***\r\n<\/pre>\r\n\r\n<p>Figure F.1: The hash &rsquo;#&rsquo; characters on the top are there only to mark the 3 columns used for a digit and are not part of the digits&rsquo; representation.<\/p>\r\n\r\n<p>The code can have leading zeros, hence an ASCII representation of, for example, 00000076 represents the number 76. You may also safely assume that every valid code will correspond to a strictly positive number.<\/p>\r\n","output":"<p>Print one line with &ldquo;BEER!!&rdquo; if it is safe to press the button and defuse the bomb, and &ldquo;BOOM!!&rdquo; otherwise.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]