Question: (15 pts) Let A, B, and C' be three strings each n characters long. We want to com pute the longest subsequence that is common

(15 pts) Let A, B, and C' be three strings each

(15 pts) Let A, B, and C' be three strings each n characters long. We want to com pute the longest subsequence that is common to all three strings. Give an efficient algorithm for this problem. Derive the dynamic programming recurrence, clearly explain what each term stands for, and justify the correctness of the recurrence. Explain how you design an efficient algorithm using this recurrence, and analyze its time complexity. 2

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