Let A be an array of n integers: (a) Write a pseudo code for a divide-and-conquer algorithm that computes the MAX and MIN values in array A . (b) Write the recurrence for this algorithm. (c) Solve the recurrence using the substitution method.

Let A be an array of n integers: (a) Write a pseudo code for a divide-and-conquer algorithm that computes the MAX and MIN values in array A . (b) Write the recurrence for this algorithm. (c) Solve the recurrence using the substitution method.

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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

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Let A be an array of n integers:

(a) Write a pseudo code for a divide-and-conquer algorithm that computes the MAX and MIN values in array A .

(b) Write the recurrence for this algorithm.

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Step 1: Concept of Divide-and-Conquer for MAX and MIN values

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Step 2: Pseudo Code for the Divide-and-Conquer Algorithm

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Step 3: Recurrence Relation for the Algorithm

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Step 4: Solve the Recurrence Using the Substitution Method

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