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Problem 3. Dynamic Programming. (3*10 points) With the following scoring function: MATCH: 5 MISMATCH: -10 GAP: -5 (a) Consider the task of finding the

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Problem 3. Dynamic Programming. (3*10 points) With the following scoring function: MATCH: 5 MISMATCH: -10 GAP: -5 (a) Consider the task of finding the optimal global alignment of the following two sequences: ATC and ATATCTC. Construct the dynamic programming table. (b) Consider the task of finding the optimal local alignment of the following two sequences: ATC and ATATCTC. Construct the dynamic programming table. (c) According to (a) and (b), which one is more suitable for aligning these two sequences? Why?

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