3. 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? If the square matric is symmetric or not. If it is symmetric it will return true. b. What is its input size? i=number of rows j= number of columns Input size: (ix j) c. What is its basic operation? The basic operation of the algorithm is to check if the elements A[ i, j ] and are equal or not. 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 effici class. If you cannot do it, try to prove that, in fact, it cannot be done.
3. 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? If the square matric is symmetric or not. If it is symmetric it will return true. b. What is its input size? i=number of rows j= number of columns Input size: (ix j) c. What is its basic operation? The basic operation of the algorithm is to check if the elements A[ i, j ] and are equal or not. 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 effici 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
Problem 1PE
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Please help with parts d, e,f. Thank you!
![3. 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?
If the square matric is symmetric or not. If it is symmetric it will return true.
b. What is its input size?
i=number of rows
j= number of columns
Input size: (ix j)
c. What is its basic operation?
The basic operation of the algorithm is to check if the elements A[i, j] and A [j,i]
are equal or not.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7757f974-220a-4bcf-b905-f534f24cec51%2F9c6b43c3-5a70-4652-97cc-8186a70bd260%2Fqrci1co_processed.png&w=3840&q=75)
Transcribed Image Text:3. 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?
If the square matric is symmetric or not. If it is symmetric it will return true.
b. What is its input size?
i=number of rows
j= number of columns
Input size: (ix j)
c. What is its basic operation?
The basic operation of the algorithm is to check if the elements A[i, j] and A [j,i]
are equal or not.
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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