Question: Question 1 ALGORITHM S(n) //Input: A positive integer n //Output: The sum of the rst n cubes if n = 1 return 1 else return

Question 1

ALGORITHM S(n)

//Input: A positive integer n

//Output: The sum of the rst n cubes

if n = 1 return 1

else return S(n 1) + n n n

Set up and solve a recurrence relation for the number of times the algo- rithms basic operation is executed.

How does this algorithm compare with the straightforward nonrecursive algorithm for computing this sum?

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