(Homework Solution): To observe the importance of algorithm efficiency and the order of growth,

The Code must be in Java

Please do the entire question

To observe the importance of algorithm efficiency and the order of growth, you are required to perform the following experiment. Assume an input of size 100,000 (denoted as N) (a) Linear function (O(N)): Write a function that loops over the input items (a single loop) and print the elapsed time taken by the function in milliseconds (b) Quadratic function (O(N2)): Write a function that loops over the input items with two-levels of nesting and print the elapsed time taken by the function in milliseconds. The function should have two nested loops (outer and inner) where each one starts from 0 to N (c) Cubicfunction (O(N3): Write a function that loops over the input items with three-levels of nesting and print the elapsed time taken by the function in milliseconds. The function should have three nested loops where each one starts from 0 to N Hint: The actual code inside the loop is not important. So make it simple and define a double variable in the beginning of your program, and then increment this variable inside the inner most loop (The example below is for two-level nesting). Double sum = 0; For (j=0, End Loop; j<=N ; j++) End Loop; Deliverables of Question I (1) A single executable program. The program should contain the three functions mentioned above. The program takes one argument with values 1 (calls the linear function), 2 (calls the quadratic function). 3 (calls the cubic function) (2) In your pdf report, plot a graph (e.g., Excel graph), where the x-axis is the passed argument (1, 2, or 3), and the y-axis is the execution time that you measured (can be in log scale if needed)

To observe the importance of algorithm efficiency and the order of growth, you are required to perform the following experiment. Assume an input of size 100,000 (denoted as N) (a) Linear function (O(N)): Write a function that loops over the input items (a single loop) and print the elapsed time taken by the function in milliseconds (b) Quadratic function (O(N2)): Write a function that loops over the input items with two-levels of nesting and print the elapsed time taken by the function in milliseconds. The function should have two nested loops (outer and inner) where each one starts from 0 to N (c) Cubicfunction (O(N3): Write a function that loops over the input items with three-levels of nesting and print the elapsed time taken by the function in milliseconds. The function should have three nested loops where each one starts from 0 to N Hint: The actual code inside the loop is not important. So make it simple and define a double variable in the beginning of your program, and then increment this variable inside the inner most loop (The example below is for two-level nesting). Double sum = 0; For (j=0, End Loop; j

Expert Answer

answers

public class Main

{

static void linearFunction(int n)

{

long start = System.currentTimeMillis();

for(int i = 0; i < n; i++);

long end=System.currentTimeMillis();

long elapsedTime = end – start;

System.out.println(“Elapsed time taken by linear function for “+n+ ” iterations: “+elapsedTime);

}

 

static void quadraticFunction(int n)

{

long start = System.currentTimeMillis();

for(int i = 0 ; i <n;i++)

for(int j = 0; j < n; j++);

long end=System.currentTimeMillis();

long elapsedTime = end – start;

System.out.println(“Elapsed time taken by quadratic function for “+n+” iterations: “+elapsedTime);

}

 

static void cubicFunction(int n)

{

long start= System.currentTimeMillis();

for(int i = 0 ; i <n;i++)

for(int j = 0; j < n; j++)

for(int k = 0; k <n; k++);

 

long end=System.currentTimeMillis();

long elapsedTime = end – start;

System.out.println(“Elapsed time taken by cubic function for “+n+” iterations: “+elapsedTime);

}

 

 

public static void main(String[] args) {

//System.out.println(“Hello World”);

System.out.println(“Calling linear function for 1000 iterations”);

linearFunction(1000);

System.out.println(“Calling quadratic function for 1000 iterations”);

quadraticFunction(1000);

System.out.println(“Calling cubic function for 1000 iterations”);

cubicFunction(1000);

System.out.println(“——————————————–“);

System.out.println(“Calling linear function for 10000 iterations”);

linearFunction(10000);

System.out.println(“Calling quadratic function for 10000 iterations”);

quadraticFunction(10000);

System.out.println(“Calling cubic function for 10000 iterations”);

cubicFunction(10000);

System.out.println(“——————————————–“);

System.out.println(“Calling linear function for 100000 iterations”);

linearFunction(100000);

System.out.println(“Calling quadratic function for 100000 iterations”);

quadraticFunction(100000);

System.out.println(“Calling cubic function for 100000 iterations”);

cubicFunction(100000);

System.out.println(“——————————————–“);

System.out.println(“Calling linear function for 500000 iterations”);

linearFunction(500000);

System.out.println(“Calling quadratic function for 500000 iterations”);

quadraticFunction(500000);

System.out.println(“Calling cubic function for 500000 iterations”);

cubicFunction(500000);

System.out.println(“——————————————–“);

}

}

—————————————————————————–

//output

Calling linear function for 1000 iterations
Elapsed time taken by linear function for 1000 iterations: 0
Calling quadratic function for 1000 iterations
Elapsed time taken by quadratic function for 1000 iterations: 6
Calling cubic function for 1000 iterations
Elapsed time taken by cubic function for 1000 iterations: 11
——————————————–
Calling linear function for 10000 iterations
Elapsed time taken by linear function for 10000 iterations: 0
Calling quadratic function for 10000 iterations
Elapsed time taken by quadratic function for 10000 iterations: 1
Calling cubic function for 10000 iterations
Elapsed time taken by cubic function for 10000 iterations: 50
——————————————–
Calling linear function for 100000 iterations
Elapsed time taken by linear function for 100000 iterations: 2
Calling quadratic function for 100000 iterations
Elapsed time taken by quadratic function for 100000 iterations: 0
Calling cubic function for 100000 iterations
Elapsed time taken by cubic function for 100000 iterations: 0
——————————————–
Calling linear function for 500000 iterations
Elapsed time taken by linear function for 500000 iterations: 3
Calling quadratic function for 500000 iterations
Elapsed time taken by quadratic function for 500000 iterations: 0
Calling cubic function for 500000 iterations
Elapsed time taken by cubic function for 500000 iterations: 0
——————————————–

iWriteHomework
Order NOW for a 10% Discount
Pages (550 words)
Approximate price: -

Why Us?

Top Quality and Well-Researched Papers

All ourbpapers are written from scratch. In fact, Clients who ask for paraphrasing services are highly discouraged. We have writers ready to craft any paper from scratch and deliver quality ahead of time.

Professional and Experienced Academic Writers

Our writers keeps you posted on your papers progress - providing you with paper outline/draft. You are also at liberty to communicate directly with your writer.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time, in many cases quite ahead of time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

× Contact Live Agents