시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 104 28 18 31.034%

문제

규현이는 승환이에게 사랑을 담은 문자 메시지를 자주 보낸다. 이것을 남에게 보이기 싫었던 규현이는 승환이와 비밀 규칙을 만들었다.

규현이는 비밀 메시지를 만들기 위한 행렬의 행의 수 R과 열의 수 C를 정했다. 그 다음 다음과 같은 규칙으로 비밀 메시지를 만든다.

  1. 모든 글자는 알파벳 대문자와 공백으로 이루어져 있다.
  2. 글자는 다음과 같이 숫자로 바뀐다. 공백 = 0, A = 1, B = 2, ..., Y = 25, Z = 26

먼저 규현이는 문자를 위 규칙을 이용해 글자를 숫자로 바꾼 다음에 이것은 5자리 이진수로 바꾼다. 그 다음 아래 그림과 같이 소용돌이 패턴으로 행렬에 채운다. 행렬의 모든 칸을 채우지 못할 때는, 0으로 계속 채운다. 예를 들어 규현이가 보내려는 메시지가 "ACM"이고, R=4, C=4로 정했다면, 다음과 같이 행렬을 채우면 된다.

A = 00001, C = 00011, M = 01101, 모자라는 칸은 0으로 채운다.

그 다음 행렬을 행 우선으로 읽은 뒤 (Row Major Order)에 승환이에게 보낸다.

위의 예시를 메시지로 보낸다면 0000110100101100이 된다.

R, C, 규현이가 보내려고 하는 메시지가 주어졌을 때, 이를 승환이에게 보내는 비밀 메시지로 변환하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. (1 <= T <= 1,000) 각 테스트 케이스는 한 줄로 이루어져 있고, R, 공백, C, 공백, 규현이가 보내려고 하는 메시지로 이루어져 있다. (1<=R,C<=20) 메시지는 [A-Z]와 공백으로만 이루어져 있고, 이 길이는 항상 (R*C)/5보다 작거나 같다.

출력

각 테스트 케이스에 대해 규현이가 문자로 보낼 비밀 메시지를 출력한다. 

예제 입력 1

4
4 4 ACM
5 2 HI
2 6 HI
5 5 HI HO

예제 출력 1

0000110100101100 
0110000010 
010000001001 
0100001000011010110000010 

힌트

[{"problem_id":"2713","problem_lang":"0","title":"\uaddc\ud604\uc774\uc758 \uc0ac\ub791\uc744 \ub2f4\uc740 \ubb38\uc790\uba54\uc2dc\uc9c0","description":"<p>\uaddc\ud604\uc774\ub294 \uc2b9\ud658\uc774\uc5d0\uac8c \uc0ac\ub791\uc744 \ub2f4\uc740 \ubb38\uc790 \uba54\uc2dc\uc9c0\ub97c \uc790\uc8fc \ubcf4\ub0b8\ub2e4. \uc774\uac83\uc744 \ub0a8\uc5d0\uac8c \ubcf4\uc774\uae30 \uc2eb\uc5c8\ub358 \uaddc\ud604\uc774\ub294 \uc2b9\ud658\uc774\uc640 \ube44\ubc00 \uaddc\uce59\uc744 \ub9cc\ub4e4\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uaddc\ud604\uc774\ub294 \ube44\ubc00 \uba54\uc2dc\uc9c0\ub97c \ub9cc\ub4e4\uae30 \uc704\ud55c \ud589\ub82c\uc758 \ud589\uc758 \uc218 R\uacfc \uc5f4\uc758 \uc218 C\ub97c \uc815\ud588\ub2e4. \uadf8 \ub2e4\uc74c \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc73c\ub85c \ube44\ubc00 \uba54\uc2dc\uc9c0\ub97c \ub9cc\ub4e0\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\ubaa8\ub4e0 \uae00\uc790\ub294 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\uc640 \uacf5\ubc31\uc73c\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/li>\r\n\t<li>\uae00\uc790\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc22b\uc790\ub85c \ubc14\ub010\ub2e4. \uacf5\ubc31 = 0, A = 1, B = 2, ..., Y = 25, Z = 26<\/li>\r\n<\/ol>\r\n\r\n<p>\uba3c\uc800 \uaddc\ud604\uc774\ub294 \ubb38\uc790\ub97c \uc704 \uaddc\uce59\uc744 \uc774\uc6a9\ud574 \uae00\uc790\ub97c \uc22b\uc790\ub85c \ubc14\uafbc \ub2e4\uc74c\uc5d0 \uc774\uac83\uc740 5\uc790\ub9ac \uc774\uc9c4\uc218\ub85c \ubc14\uafbc\ub2e4. \uadf8 \ub2e4\uc74c \uc544\ub798 \uadf8\ub9bc\uacfc \uac19\uc774 \uc18c\uc6a9\ub3cc\uc774 \ud328\ud134\uc73c\ub85c \ud589\ub82c\uc5d0 \ucc44\uc6b4\ub2e4. \ud589\ub82c\uc758 \ubaa8\ub4e0 \uce78\uc744 \ucc44\uc6b0\uc9c0 \ubabb\ud560 \ub54c\ub294, 0\uc73c\ub85c \uacc4\uc18d \ucc44\uc6b4\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \uaddc\ud604\uc774\uac00 \ubcf4\ub0b4\ub824\ub294 \uba54\uc2dc\uc9c0\uac00 &quot;ACM&quot;\uc774\uace0, R=4, C=4\ub85c \uc815\ud588\ub2e4\uba74, \ub2e4\uc74c\uacfc \uac19\uc774 \ud589\ub82c\uc744 \ucc44\uc6b0\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/Screen%20Shot%202012-10-06%20at%20%EC%98%A4%EC%A0%84%2012_36_35.png\" style=\"height:185px; width:126px\" \/><\/p>\r\n\r\n<p>A = 00001, C = 00011, M = 01101, \ubaa8\uc790\ub77c\ub294 \uce78\uc740 0\uc73c\ub85c \ucc44\uc6b4\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c \ud589\ub82c\uc744 \ud589 \uc6b0\uc120\uc73c\ub85c \uc77d\uc740 \ub4a4 (Row Major Order)\uc5d0 \uc2b9\ud658\uc774\uc5d0\uac8c \ubcf4\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc704\uc758 \uc608\uc2dc\ub97c \uba54\uc2dc\uc9c0\ub85c \ubcf4\ub0b8\ub2e4\uba74 0000110100101100\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>R, C, \uaddc\ud604\uc774\uac00 \ubcf4\ub0b4\ub824\uace0 \ud558\ub294 \uba54\uc2dc\uc9c0\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774\ub97c \uc2b9\ud658\uc774\uc5d0\uac8c \ubcf4\ub0b4\ub294 \ube44\ubc00 \uba54\uc2dc\uc9c0\ub85c \ubcc0\ud658\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &lt;= T &lt;= 1,000) \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud55c \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, R, \uacf5\ubc31, C, \uacf5\ubc31, \uaddc\ud604\uc774\uac00 \ubcf4\ub0b4\ub824\uace0 \ud558\ub294 \uba54\uc2dc\uc9c0\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. (1&lt;=R,C&lt;=20) \uba54\uc2dc\uc9c0\ub294 [A-Z]\uc640 \uacf5\ubc31\uc73c\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \uc774 \uae38\uc774\ub294 \ud56d\uc0c1 (R*C)\/5\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \uaddc\ud604\uc774\uac00 \ubb38\uc790\ub85c \ubcf4\ub0bc \ube44\ubc00 \uba54\uc2dc\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.&nbsp;<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2713","problem_lang":"1","title":"Encoding","description":"<p>Chip and Dale have devised an encryption method to hide their (written) text messages. They first agree secretly on two numbers that will be used as the number of rows (R) and columns (C) in a matrix. The sender encodes an intermediate format using the following rules:&nbsp;<\/p>\r\n\r\n<ol>\r\n\t<li>The text is formed with uppercase letters [A-Z] and &lt;space&gt;.<\/li>\r\n\t<li>Each text character will be represented by decimal values as follows:&nbsp;<\/li>\r\n<\/ol>\r\n\r\n<p>&lt;space&gt; = 0, A = 1, B = 2, C = 3, ..., Y = 25, Z = 26<\/p>\r\n\r\n<p>The sender enters the 5 digit binary representation of the characters&rsquo; values in a spiral pattern along the matrix as shown below. The matrix is padded out with zeroes (0) to fill the matrix completely. For example, if the text to encode is: &quot;ACM&quot; and R=4 and C=4, the matrix would be filled in as follows:&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/Screen%20Shot%202012-10-06%20at%20%EC%98%A4%EC%A0%84%2012_36_35.png\" style=\"height:185px; width:126px\" \/><\/p>\r\n\r\n<p>A = 00001, C = 00011, M = 01101 (one extra 0)&nbsp;<\/p>\r\n\r\n<p>The bits in the matrix are then concatenated together in row major order and sent to the receiver. The example above would be encoded as: 0000110100101100<\/p>\r\n","input":"<p>The first line of input contains a single integer N, (1 &le; N &le; 1000) which is the number of datasets that follow.&nbsp;<\/p>\r\n\r\n<p>Each dataset consists of a single line of input containing R (1&lt;=R&lt;=20), a space, C (1&lt;=C&lt;=20), a space, and a text string consisting of uppercase letters [A-Z] and &lt;space&gt;. The length of the text string is guaranteed to be &lt;= (R*C)\/5.&nbsp;<\/p>\r\n","output":"<p>For each dataset, you should generate one line of output with the following values: The dataset number as a decimal integer (start counting at one), a space, and a string of binary digits (R*C) long describing the encoded text. The binary string represents the values used to fill in the matrix in rowmajor order. You may have to fill out the matrix with zeroes (0) to complete the matrix.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]