Answer the given question with a proper explanation and step-by-step solution. 3. Draw the recursion tree when n = 8, where n represents the length of the array, for the following recursive method: int sum(int[] array, int first, int last) { if (first == last) return array[first]; int mid = (first + last) / 2; return sum(array, first, mid) + sum(array, mid + 1, last); }  Determine a formula that counts the numbers of nodes in the recursion tree.  What is the Big- for execution time?  Determine a formula that expresses the height of the tree.  What is the Big- for memory?  Write an iterative solution for this same problem and compare its efficiency with this recursive solution. 4. Using the recursive method in problem 3 and assuming n is the length of the array.  Modify the recursion tree from the previous problem to show the amount of work on each activation and the row sums.  Determine the initial conditions and recurrence equation.  Determine the critical exponent.  Apply the Little Master Theorem to solve that equation.  Explain whether this algorithm optimal. Please answer both of those questions asap.

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
Problem 1PE
icon
Related questions
Question

Answer the given question with a proper explanation and step-by-step solution.

3. Draw the recursion tree when n = 8, where n represents the length of the array, for the following recursive method:
int sum(int[] array, int first, int last) {
if (first == last)
return array[first];
int mid = (first + last) / 2;
return sum(array, first, mid) + sum(array, mid + 1, last);
}
 Determine a formula that counts the numbers of nodes in the recursion tree.
 What is the Big- for execution time?
 Determine a formula that expresses the height of the tree.
 What is the Big- for memory?
 Write an iterative solution for this same problem and compare its efficiency with this recursive solution.

4. Using the recursive method in problem 3 and assuming n is the length of the array.
 Modify the recursion tree from the previous problem to show the amount of work on each activation and the row sums.
 Determine the initial conditions and recurrence equation.
 Determine the critical exponent.
 Apply the Little Master Theorem to solve that equation.
 Explain whether this algorithm optimal.

Please answer both of those questions asap.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Computational Systems
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education