시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 1903 1043 921 59.152%

문제

DNA란 어떤 유전물질을 구성하는 분자이다. 이 DNA는 서로 다른 4가지의 뉴클레오티드로 이루어져 있다(Adenine, Thymine, Guanine, Cytosine). 우리는 어떤 DNA의 물질을 표현할 때, 이 DNA를 이루는 뉴클레오티드의 첫글자를 따서 표현한다. 만약에 Thymine-Adenine-Adenine-Cytosine-Thymine-Guanine-Cytosine-Cytosine-Guanine-Adenine-Thymine로 이루어진 DNA가 있다고 하면, “TAACTGCCGAT”로 표현할 수 있다. 그리고 Hamming Distance란 길이가 같은 두 DNA가 있을 때, 각 위치의 뉴클오티드 문자가 다른 것의 개수이다. 만약에 “AGCAT"와 ”GGAAT"는 첫 번째 글자와 세 번째 글자가 다르므로 Hamming Distance는 2이다.

우리가 할 일은 다음과 같다. n개의 길이가 같은 DNA가 주어져 있을 때(이 DNA를 a1a2a3a4...이라고 하자) Hamming Distance의 합이 가장 작은 DNA s를 구하는 것이다. 즉, s와 a1의 Hamming Distance + s와 a2의 Hamming Distance + s와 a3의 Hamming Distance ... 의 합이 최소가 된다는 의미이다.

입력

첫 줄에 DNA의 수 N과 문자열의 길이 M이 주어진다. 그리고 둘째 줄부터 N+1번째 줄까지 N개의 DNA가 주어진다. N은 1,000보다 작거나 같은 자연수이고, M은 50보다 작거나 같은 자연수이다.

출력

첫째 줄에 Hamming Distance의 합이 가장 작은 DNA 를 출력하고, 둘째 줄에는 그 Hamming Distance의 합을 출력하시오. 그러한 DNA가 여러 개 있을 때에는 사전순으로 가장 앞서는 것을 출력한다.

예제 입력 1

5 8
TATGATAC
TAAGCTAC
AAAGATCC
TGAGATAC
TAAGATGT

예제 출력 1

TAAGATAC
7

예제 입력 2

4 10
ACGTACGTAC
CCGTACGTAG
GCGTACGTAT
TCGTACGTAA

예제 출력 2

ACGTACGTAA
6

예제 입력 3

6 10
ATGTTACCAT
AAGTTACGAT
AACAAAGCAA
AAGTTACCTT
AAGTTACCAA
TACTTACCAA

예제 출력 3

AAGTTACCAA
12
[{"problem_id":"1969","problem_lang":"0","title":"DNA","description":"<p>DNA\ub780 \uc5b4\ub5a4 \uc720\uc804\ubb3c\uc9c8\uc744 \uad6c\uc131\ud558\ub294 \ubd84\uc790\uc774\ub2e4. \uc774 DNA\ub294 \uc11c\ub85c \ub2e4\ub978 4\uac00\uc9c0\uc758 \ub274\ud074\ub808\uc624\ud2f0\ub4dc\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4(Adenine, Thymine, Guanine, Cytosine). \uc6b0\ub9ac\ub294 \uc5b4\ub5a4 DNA\uc758 \ubb3c\uc9c8\uc744 \ud45c\ud604\ud560 \ub54c, \uc774 DNA\ub97c \uc774\ub8e8\ub294 \ub274\ud074\ub808\uc624\ud2f0\ub4dc\uc758 \uccab\uae00\uc790\ub97c \ub530\uc11c \ud45c\ud604\ud55c\ub2e4. \ub9cc\uc57d\uc5d0 Thymine-Adenine-Adenine-Cytosine-Thymine-Guanine-Cytosine-Cytosine-Guanine-Adenine-Thymine\ub85c \uc774\ub8e8\uc5b4\uc9c4 DNA\uac00 \uc788\ub2e4\uace0 \ud558\uba74, &ldquo;TAACTGCCGAT&rdquo;\ub85c \ud45c\ud604\ud560 \uc218 \uc788\ub2e4. \uadf8\ub9ac\uace0 Hamming Distance\ub780 \uae38\uc774\uac00 \uac19\uc740 \ub450 DNA\uac00 \uc788\uc744 \ub54c, \uac01 \uc704\uce58\uc758 \ub274\ud074\uc624\ud2f0\ub4dc \ubb38\uc790\uac00 \ub2e4\ub978 \uac83\uc758 \uac1c\uc218\uc774\ub2e4. \ub9cc\uc57d\uc5d0 &ldquo;AGCAT&quot;\uc640 &rdquo;GGAAT&quot;\ub294 \uccab \ubc88\uc9f8 \uae00\uc790\uc640 \uc138 \ubc88\uc9f8 \uae00\uc790\uac00 \ub2e4\ub974\ubbc0\ub85c Hamming Distance\ub294 2\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc6b0\ub9ac\uac00 \ud560 \uc77c\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4. n\uac1c\uc758 \uae38\uc774\uac00 \uac19\uc740 DNA\uac00 \uc8fc\uc5b4\uc838 \uc788\uc744 \ub54c(\uc774 DNA\ub97c a1a2a3a4...\uc774\ub77c\uace0 \ud558\uc790) Hamming Distance\uc758 \ud569\uc774 \uac00\uc7a5 \uc791\uc740 DNA s\ub97c \uad6c\ud558\ub294 \uac83\uc774\ub2e4. \uc989, s\uc640 a1\uc758 Hamming Distance + s\uc640 a2\uc758 Hamming Distance + s\uc640 a3\uc758 Hamming Distance ... \uc758 \ud569\uc774 \ucd5c\uc18c\uac00 \ub41c\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 DNA\uc758 \uc218 N\uacfc \ubb38\uc790\uc5f4\uc758 \uae38\uc774 M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8\ub9ac\uace0 \ub458\uc9f8 \uc904\ubd80\ud130 N+1\ubc88\uc9f8 \uc904\uae4c\uc9c0 N\uac1c\uc758 DNA\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. N\uc740 1,000\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc740 \uc790\uc5f0\uc218\uc774\uace0, M\uc740 50\ubcf4\ub2e4 \uc791\uac70\ub098 \uac19\uc740 \uc790\uc5f0\uc218\uc774\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 Hamming Distance\uc758 \ud569\uc774 \uac00\uc7a5 \uc791\uc740 DNA \ub97c \ucd9c\ub825\ud558\uace0, \ub458\uc9f8 \uc904\uc5d0\ub294 \uadf8 Hamming Distance\uc758 \ud569\uc744 \ucd9c\ub825\ud558\uc2dc\uc624. \uadf8\ub7ec\ud55c DNA\uac00 \uc5ec\ub7ec \uac1c \uc788\uc744 \ub54c\uc5d0\ub294 \uc0ac\uc804\uc21c\uc73c\ub85c \uac00\uc7a5 \uc55e\uc11c\ub294 \uac83\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1969","problem_lang":"1","title":"DNA Consensus String","description":"<p><img alt=\"\" src=\"\/upload\/images\/dnab1.png\" style=\"height:371px; width:269px\" \/><\/p>\r\n\r\n<p>DNA (Deoxyribonucleic Acid) is the molecule which contains the genetic instructions. It consists of four different nucleotides, namely Adenine, Thymine, Guanine, and Cytosine as shown in Figure 1. If we represent a nucleotide by its initial character, a DNA strand can be regarded as a long string (sequence of characters) consisting of the four characters A, T, G, and C. For example, assume we are given some part of a DNA strand which is composed of the following sequence of nucleotides: &ldquo;Thymine-Adenine-Adenine-Cytosine-Thymine-Guanine-Cytosine-Cytosine-Guanine-Adenine-Thymine&rdquo; Then we can represent the above DNA strand with the string &ldquo;TAACTGCCGAT.&rdquo;<\/p>\r\n\r\n<p>The biologist Prof. Ahn found that a gene X commonly exists in the DNA strands of five different kinds of animals, namely dogs, cats, horses, cows, and monkeys. He also discovered that the DNA sequences of the gene X from each animal were very alike. See Figure 2.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dnab2.png\" style=\"height:169px; width:362px\" \/><\/p>\r\n\r\n<p>Prof. Ahn thought that humans might also have the gene X and decided to search for the DNA sequence of X in human DNA. However, before searching, he should define a representative DNA sequence of gene X because its sequences are not exactly the same in the DNA of the five animals. He decided to use the Hamming distance to define the representative sequence.<\/p>\r\n\r\n<p>The Hamming distance is the number of different characters at each position from two strings of equal length. For example, assume we are given the two strings &ldquo;AGCAT&rdquo; and &ldquo;GGAAT.&rdquo; The Hamming distance of these two strings is 2 because the 1st and the 3rd characters of the two strings are different. Using the Hamming distance, we can define a representative string for a set of multiple strings of equal length. Given a set of strings {s1, ..., sm} of length n, the consensus error between a string y of length n and the set S is the sum of the Hamming distances between y and each si in S. If the consensus error between is y and S is the minimum among all possible strings of length n, is called a consensus string of . For example, given the three strings &ldquo;AGCAT&rdquo;, &ldquo;AGACT&rdquo;, and &ldquo;GGAAT&rdquo;, the consensus string of the given strings is &ldquo;AGAAT&rdquo; because the sum of the Hamming distances between &ldquo;AGAAT&rdquo; and the three strings is 3 which is minimal. (In this case, the consensus string is unique, but in general, there can be more than one consensus string.) We use the consensus string as a representative of the DNA sequence. For the example of Figure 2 above, a consensus string of gene X is &ldquo;GCAAATGGCTGTGCA&rdquo; and the consensus error is 7.&nbsp;<\/p>\r\n","input":"<p>Your program is to read from standard input. The input starts with a line containing two integers and which are separated by a single space. The integer m (4 &le; m &le; 50) represents the number of DNA sequences and n(4 &le; n &le; 1000) represents the length of the DNA sequences, respectively. In each of the next m lines, each DNA sequence is given.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print the consensus string in the first line of each case and the consensus error in the second line of each case. If there exists more than one consensus string, print the lexicographically smallest consensus string.&nbsp;<\/p>\r\n\r\n<p>The following shows sample input and output for three test cases.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Asia > Korea > Asia Regional - Seoul 2006 B번

  • 빠진 조건을 찾은 사람: jsa3824
  • 잘못된 번역을 찾은 사람: previc1
  • 잘못된 데이터를 찾은 사람: tncks0121