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Consider the following recursive algorithm. Algorithm Q(n) // Input: A positive integer n if n = 1 return 1 else return Q n - 1

Consider the following recursive algorithm.

Algorithm Q(n) // Input: A positive integer n

if n = 1 return 1

else return Qn-1*n*n+3*n

(a) Set up a recurrence relation for the number of basic operations made by this algorithm.

(b) Solve a recurrence relation in (a).

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