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Consider the following recurrence relation: if n=1 Tn) 21 (n-1) +n ifn> 1 Provide clear, concise answers to each of the following related questions. (2
Consider the following recurrence relation: if n=1 Tn) 21 (n-1) +n ifn> 1 Provide clear, concise answers to each of the following related questions. (2 points). Assume this recurrence describes the runtime of a divide- and-conquer algorithm. If you looked at the body of a function that implemented this algorithm, how many recursive calls should it contain? . (2 points). Assume this recurrence describes the runtime of a divide- and-conquer algorithm. If you looked at the body of a function that implemented this algorithm, how much smaller are the subproblems solved by the recursive calls? (12 points). Determine an upper-bound for this recurrence and prove that bound formally (i.e., not with a picture)
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