Consider the following algorithm Algorithm Mystery(A[0..n-1, 0..n - 1]) //Input: A matrix A[0..n-1, 0..n - 1] of real numbers for i ←0 to n - 2 do for ji+ 1 to n - 1 do if A[i, j] = A[j,i] return true return false a. What does this algorithm compute? b. What is its input size? c. What is its basic operation? d. How many times is the basic operation executed? e. What is the efficiency class of this algorithm? f. Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done.

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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PLEASE answer D, E and F only, please be clear, step by step. and easy to understand, thanks

Consider the following algorithm
Algorithm Mystery(A[0..n-1,
0..n – 1])
//Input: A matrix A[0..n-1, 0..n − 1] of real numbers
for i 0 to n - 2 do
for ji+ 1 to n - 1 do
if A[i, j] = A[j,i]
return true
return false
a. What does this algorithm compute?
b. What is its input size?
c. What is its basic operation?
d. How many times is the basic operation executed?
e. What is the efficiency class of this algorithm?
f. Suggest an improvement, or a better algorithm altogether, and indicate its efficiency
class. If you cannot do it, try to prove that, in fact, it cannot be done.
Transcribed Image Text:Consider the following algorithm Algorithm Mystery(A[0..n-1, 0..n – 1]) //Input: A matrix A[0..n-1, 0..n − 1] of real numbers for i 0 to n - 2 do for ji+ 1 to n - 1 do if A[i, j] = A[j,i] return true return false a. What does this algorithm compute? b. What is its input size? c. What is its basic operation? d. How many times is the basic operation executed? e. What is the efficiency class of this algorithm? f. Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done.
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