a) Produce a pseudo code design for a recursive algorithm to solve this problem. b) Draw a call-stack diagram to show the application of your recursive algorithm when called using the sequence = (12, 8, −4, 3, −6, −1). c) Write down the set of recurrence equations for your recursive algorithm. Remember that one of the equations should correspond to the recursive algorithm base case. d) Using the recurrence equations you gave in your answer for part (c), determine the running time complexity of your recursive algorithm.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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a) Produce a pseudo code design for a recursive algorithm to solve this problem.

b) Draw a call-stack diagram to show the application of your recursive algorithm when called using the sequence = (12, 8, −4, 3, −6, −1).

c) Write down the set of recurrence equations for your recursive algorithm. Remember that one of the equations should correspond to the recursive algorithm base case.

d) Using the recurrence equations you gave in your answer for part (c), determine the running time complexity of your recursive algorithm.

Find AverageAndSum
(a₁, ..., an)
Input: A sequence of real values A = (a₁, ..., an).
Output:, A 2-tuple (average, sum) containing the average (average) of all the
values and the sum (sum) of all the values of the elements in A.
Your recursive algorithm should use a single recursive structure to find the
average and sum values, and should not use two separate instances of a
recursive design. You should not employ any global variables.
Transcribed Image Text:Find AverageAndSum (a₁, ..., an) Input: A sequence of real values A = (a₁, ..., an). Output:, A 2-tuple (average, sum) containing the average (average) of all the values and the sum (sum) of all the values of the elements in A. Your recursive algorithm should use a single recursive structure to find the average and sum values, and should not use two separate instances of a recursive design. You should not employ any global variables.
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