Algorithm prefixAvg1(X): input: An n-element array X output: An n-element array A of numbers such that A[i] is the average of elements X[@], ..., X[i] 1 Declare and initialize array A 2 for i = 0 to n-1 do 3 a = 0 4 for j = 0 to i do a += X[j] 6 A[i] = a / (i+1) 7 return array A 5 Algorithm prefixAvg2(X): input: An n-element array X output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., x[i] 1 Declare and initialize array A 2 a = e 3 for i = 0 to n-1 do 4 a += X[i] 5 A[i] = a / (i+1) 6 return array A
Algorithm prefixAvg1(X): input: An n-element array X output: An n-element array A of numbers such that A[i] is the average of elements X[@], ..., X[i] 1 Declare and initialize array A 2 for i = 0 to n-1 do 3 a = 0 4 for j = 0 to i do a += X[j] 6 A[i] = a / (i+1) 7 return array A 5 Algorithm prefixAvg2(X): input: An n-element array X output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., x[i] 1 Declare and initialize array A 2 a = e 3 for i = 0 to n-1 do 4 a += X[i] 5 A[i] = a / (i+1) 6 return array A
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
a. Determine the worst runtime complexity of both the algorithms.
b. Comment which
![Algorithm prefixAvg1(X):
input: An n-element array X
output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., X[i]
1 Declare and initialize array A
2 for i = 0 to n-1 do
a = 0
4 for j = 0 to i do
a += X[j]
6 A[i] = a / (i+1)
7 return array A
3
5
Algorithm prefixAvg2(X):
input: An n-element array X
output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., X[i]
1 Declare and initialize array A
2 a = 0
3 for i = 0 to n-1 do
a += X[i]
5 A[i] = a / (i+1)
6 return array A
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12cbeb4a-4973-49c1-bc16-c9e400010778%2Fa5be6aaf-d5c2-4277-bd8f-995a7de7c3d4%2Fnsvdok6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Algorithm prefixAvg1(X):
input: An n-element array X
output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., X[i]
1 Declare and initialize array A
2 for i = 0 to n-1 do
a = 0
4 for j = 0 to i do
a += X[j]
6 A[i] = a / (i+1)
7 return array A
3
5
Algorithm prefixAvg2(X):
input: An n-element array X
output: An n-element array A of numbers such that A[i] is the average of elements X[0], ..., X[i]
1 Declare and initialize array A
2 a = 0
3 for i = 0 to n-1 do
a += X[i]
5 A[i] = a / (i+1)
6 return array A
4
Expert Solution
Step 1
Time Complexity:
Algorithm prefixAvg1(X) : Big O of n square that is quadratic
O(n*n)
Algorithm prefixAvg2(X) : Big O of n that is Linear
O(n)
Better algorithm: Algorithm prefixAvg2(X)
Step by step
Solved in 2 steps
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