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True or False, justify your answer thoroughly, step by step if possible. (a) If X and Y are sequences that both begin with the character

True or False, justify your answer thoroughly, step by step if possible.

(a) If X and Y are sequences that both begin with the character A, every longest common subsequence of X and Y begins with A.

(b) If X and Y are sequences that both end with the character A, some longest common subsequence of X and Y ends with A.

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