시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB66632944258244.602%

문제

매일 밤, 정인이는 상근이에게 이메일을 보낸다. 정인이는 자신의 이메일이 해킹당할 수도 있다는 생각에, 내용을 항상 암호화해서 보낸다.

정인이가 사용하는 암호 알고리즘은 다음과 같다. 정인이가 보내는 메시지는 총 N글자이다.

먼저, 정인이는 R<=C이고, R*C=N인 R과 C를 고른다. 만약, 그러한 경우가 여러 개일 경우, R이 큰 값을 선택한다.

그 다음, 행이 R개고, 열이 C개인 행렬을 만든다.

이제 메시지를 행렬에 옮긴다. 첫 번째 행의 첫 번째 열부터 C번째 열까지 메시지를 순서대로 옮긴 뒤, 남은 메시지는 두 번째 행, 세 번째 행,... R번째 행에 첫 번째 행을 채운 방법과 동일한 순서대로 옮긴다.

행렬에 모두 메시지를 옮겼다면, 이 것을 첫 번째 열의 첫 번째 행부터 R번째 행까지 차례대로 읽으면서 다시 받아 적는다. 그 다음에, 두 번째 열, 세 번째 열,..., C번째 열에 쓰여 있는 문자를 첫 번째 열을 읽은 방법과 동일하게 받아적는다.

상근이는 매일 밤 정인이의 메시지를 해독하는데 지쳤다. 정인이의 암호 이메일이 주어졌을 때, 이를 해독하는 프로그램을 작성하시오.

입력

첫째 줄에 상근이가 받은 메시지가 주어진다. 이 메시지는 알파벳 소문자로만 이루어져 있고, 최대 100글자이다.

출력

첫째 줄에 상근이가 받은 메시지를 해독한 메시지를 출력한다.

예제 입력 1

bok

예제 출력 1

bok

예제 입력 2

koaski

예제 출력 2

kakosi

예제 입력 3

boudonuimilcbsai

예제 출력 3

bombonisuuladici

정인이는 원래 "bombonisuuladici"를 보내려고 했다. 이 메시지는 16글자이므로, 정인이는 1*16, 2*8, 4*4 행렬을 선택할 수 있다. R이 가장 큰 것은 4*4이므로, 4*4를 선택한다.

정인이가 만든 행렬은 다음과 같을 것이다.

b o m b
o n i s
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[{"problem_id":"2999","problem_lang":"0","title":"\ube44\ubc00 \uc774\uba54\uc77c","description":"<p>\ub9e4\uc77c \ubc24, \uc815\uc778\uc774\ub294 \uc0c1\uadfc\uc774\uc5d0\uac8c \uc774\uba54\uc77c\uc744 \ubcf4\ub0b8\ub2e4. \uc815\uc778\uc774\ub294 \uc790\uc2e0\uc758 \uc774\uba54\uc77c\uc774 \ud574\ud0b9\ub2f9\ud560 \uc218\ub3c4 \uc788\ub2e4\ub294 \uc0dd\uac01\uc5d0, \ub0b4\uc6a9\uc744 \ud56d\uc0c1 \uc554\ud638\ud654\ud574\uc11c \ubcf4\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\uc815\uc778\uc774\uac00 \uc0ac\uc6a9\ud558\ub294 \uc554\ud638 \uc54c\uace0\ub9ac\uc998\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. \uc815\uc778\uc774\uac00 \ubcf4\ub0b4\ub294 \uba54\uc2dc\uc9c0\ub294 \ucd1d N\uae00\uc790\uc774\ub2e4.<\/p>\r\n\r\n<p>\uba3c\uc800, \uc815\uc778\uc774\ub294 R&lt;=C\uc774\uace0, R*C=N\uc778 R\uacfc C\ub97c \uace0\ub978\ub2e4. \ub9cc\uc57d, \uadf8\ub7ec\ud55c \uacbd\uc6b0\uac00 \uc5ec\ub7ec \uac1c\uc77c \uacbd\uc6b0, R\uc774 \ud070 \uac12\uc744 \uc120\ud0dd\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c, \ud589\uc774 R\uac1c\uace0, \uc5f4\uc774 C\uac1c\uc778 \ud589\ub82c\uc744 \ub9cc\ub4e0\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc81c \uba54\uc2dc\uc9c0\ub97c \ud589\ub82c\uc5d0 \uc62e\uae34\ub2e4. \uccab \ubc88\uc9f8 \ud589\uc758 \uccab \ubc88\uc9f8 \uc5f4\ubd80\ud130 C\ubc88\uc9f8 \uc5f4\uae4c\uc9c0 \uba54\uc2dc\uc9c0\ub97c \uc21c\uc11c\ub300\ub85c \uc62e\uae34 \ub4a4, \ub0a8\uc740 \uba54\uc2dc\uc9c0\ub294 \ub450 \ubc88\uc9f8 \ud589, \uc138 \ubc88\uc9f8 \ud589,... R\ubc88\uc9f8 \ud589\uc5d0 \uccab \ubc88\uc9f8 \ud589\uc744 \ucc44\uc6b4 \ubc29\ubc95\uacfc \ub3d9\uc77c\ud55c \uc21c\uc11c\ub300\ub85c \uc62e\uae34\ub2e4.<\/p>\r\n\r\n<p>\ud589\ub82c\uc5d0 \ubaa8\ub450 \uba54\uc2dc\uc9c0\ub97c \uc62e\uacbc\ub2e4\uba74, \uc774 \uac83\uc744 \uccab \ubc88\uc9f8 \uc5f4\uc758 \uccab \ubc88\uc9f8 \ud589\ubd80\ud130 R\ubc88\uc9f8 \ud589\uae4c\uc9c0 \ucc28\ub840\ub300\ub85c \uc77d\uc73c\uba74\uc11c \ub2e4\uc2dc \ubc1b\uc544 \uc801\ub294\ub2e4. \uadf8 \ub2e4\uc74c\uc5d0, \ub450 \ubc88\uc9f8 \uc5f4, \uc138 \ubc88\uc9f8 \uc5f4,..., C\ubc88\uc9f8 \uc5f4\uc5d0 \uc4f0\uc5ec \uc788\ub294 \ubb38\uc790\ub97c \uccab \ubc88\uc9f8 \uc5f4\uc744 \uc77d\uc740 \ubc29\ubc95\uacfc \ub3d9\uc77c\ud558\uac8c \ubc1b\uc544\uc801\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \ub9e4\uc77c \ubc24 \uc815\uc778\uc774\uc758 \uba54\uc2dc\uc9c0\ub97c \ud574\ub3c5\ud558\ub294\ub370 \uc9c0\ucce4\ub2e4. \uc815\uc778\uc774\uc758 \uc554\ud638 \uc774\uba54\uc77c\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774\ub97c \ud574\ub3c5\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uac00 \ubc1b\uc740 \uba54\uc2dc\uc9c0\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uba54\uc2dc\uc9c0\ub294 \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \ucd5c\ub300 100\uae00\uc790\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uadfc\uc774\uac00 \ubc1b\uc740 \uba54\uc2dc\uc9c0\ub97c \ud574\ub3c5\ud55c \uba54\uc2dc\uc9c0\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","sample_explain_3":"<p>\uc815\uc778\uc774\ub294 \uc6d0\ub798 &quot;bombonisuuladici&quot;\ub97c \ubcf4\ub0b4\ub824\uace0 \ud588\ub2e4. \uc774 \uba54\uc2dc\uc9c0\ub294 16\uae00\uc790\uc774\ubbc0\ub85c, \uc815\uc778\uc774\ub294 1*16, 2*8, 4*4 \ud589\ub82c\uc744 \uc120\ud0dd\ud560 \uc218 \uc788\ub2e4. R\uc774 \uac00\uc7a5 \ud070 \uac83\uc740 4*4\uc774\ubbc0\ub85c, 4*4\ub97c \uc120\ud0dd\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc815\uc778\uc774\uac00 \ub9cc\ub4e0 \ud589\ub82c\uc740 \ub2e4\uc74c\uacfc \uac19\uc744 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:16%\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center; width:4%\">b<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">o<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">m<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">b<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">o<\/td>\r\n\t\t\t<td style=\"text-align:center\">n<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t\t<td style=\"text-align:center\">s<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">u<\/td>\r\n\t\t\t<td style=\"text-align:center\">u<\/td>\r\n\t\t\t<td style=\"text-align:center\">l<\/td>\r\n\t\t\t<td style=\"text-align:center\">a<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">d<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t\t<td style=\"text-align:center\">c<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n"},{"problem_id":"2999","problem_lang":"1","title":"TAJNA","description":"<p>Every evening, little Ivica sends secret messages to little Marica through e-mail. Knowing Ivica&#39;s e-letter travels unguarded through the network on its way to Marica&#39;s e-mailbox, they have decided to encrypt every message using the following algorithm:&nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>Suppose Ivica&#39;s message consists of N characters.&nbsp;<\/li>\r\n\t<li>Ivica must first find a matrix consisting of R rows and C columns such that R &le; C and R&middot;C = N. If there is more than one such matrix, Ivica chooses the one with the most rows.&nbsp;<\/li>\r\n\t<li>Ivica writes his message into the matrix in row-major order. In other words, he writes the first segment of the message into the first row, the second segment into the second row and so on.&nbsp;<\/li>\r\n\t<li>The message he sends to Marica is the matrix read in column-major order.&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Marica has grown tired of spending her precious time deciphering Ivica&#39;s messages, so you must write a program to do it for her.&nbsp;<\/p>\r\n","input":"<p>The input contains the received message, a string of lowercase letters of the English alphabet (with no spaces).&nbsp;<\/p>\r\n\r\n<p>The number of letters will be between 1 and 100.&nbsp;<\/p>\r\n","output":"<p>Output the original (decrypted) message.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","sample_explain_3":"<p>Ivica wants to send the message &quot;bombonisuuladici&quot; containing 16 letters. He can use a 1&times;16, 2&times;8 or 4&times;4 matrix. Of these, the 4&times;4 has the most rows. When the message is written into it, the matrix looks like this:&nbsp;<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:16%\">\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center; width:4%\">b<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">o<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">m<\/td>\r\n\t\t\t<td style=\"text-align:center; width:4%\">b<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">o<\/td>\r\n\t\t\t<td style=\"text-align:center\">n<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t\t<td style=\"text-align:center\">s<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">u<\/td>\r\n\t\t\t<td style=\"text-align:center\">u<\/td>\r\n\t\t\t<td style=\"text-align:center\">l<\/td>\r\n\t\t\t<td style=\"text-align:center\">a<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td style=\"text-align:center\">d<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t\t<td style=\"text-align:center\">c<\/td>\r\n\t\t\t<td style=\"text-align:center\">i<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n"}]

출처

Contest > Croatian Open Competition in Informatics > COCI 2007/2008 > Contest #3 3번