In this case the consensus string is unique but in

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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 `` GCAAATGGCTGTGCA " and the consensus error is 7. Input Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case starts with a line containing two integers m and n which are separated by a single space. The integer m (4 m 50) represents the number of DNA sequences and n (4 n 1000) represents the length of the DNA sequences, respectively. In each of the next m lines, each DNA sequence is given. Output 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. The following shows sample input and output for three test cases. Sample Input 3 5 8 TATGATAC 3602 - DNA Consensus String 2/3
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TAAGCTAC AAAGATCC TGAGATAC TAAGATGT 4 10 ACGTACGTAC CCGTACGTAG GCGTACGTAT TCGTACGTAA 6 10 ATGTTACCAT AAGTTACGAT AACAAAGCAA AAGTTACCTT AAGTTACCAA TACTTACCAA Sample Output TAAGATAC 7 ACGTACGTAA 6 AAGTTACCAA 12 Seoul 2006-2007 3602 - DNA Consensus String 3/3
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