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Set up and solve a recurrence relation for the number of


Consider the following recursive algorithm.

Algorithm S(n)

if n==1 return 1

else return S(n-1) + n*n*n

a) What does this algorithm compute?

b) Set up and solve a recurrence relation for the number of times the algorithm's basic operation is executed.

c) How does this algorithm compare with the non-recursive algorithm for computing this function in terms of time efficiency and space efficiency?

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