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E2 – Fundamentals, Functions & Arrays

Please refer to announcements for details about this exam. Make sure you fill the information below to avoid not being graded properly;

 

Last Name

 

 

First Name

 

 

Student ID #

 

 

 

Here is the grading matrix where the TA will leave feedback. If you scored 100%, you will most likely not see any feedback J

 

Question

# points

Feedback

Max

Scored

1

Tracing

3

 

 

2

Testing

2

 

 

3

Refactoring

2

 

 

4

Debugging

3

 

 

Interlude – How to Trace Recursive Programs

To help you fill the trace table in question #1, we start with an example of a small recursive program & provide you with the trace table we expect you to draw.

Example Program to Trace

This program implements a power function recursively. We do not have local variables in either function, thus making the information in each activation record a bit shorter.

 

1   #include <stdio.h>

2   #include <stdlib.h>

3    

4   int pwr(int x, int y){

5     if( y == 0 )  return 1;

6     if( y == 1 )  return x;

7     return x * pwr(x, y-1);

8   }

9    

10int main(){

11  printf(“%d to power %d is %dn”, 5, 3, pwr(5,3));

12  return EXIT_SUCCESS;

13}

 

Example Trace Table

Please note the following about the table below;

–          We only write down the contents of the stack when it is changed, i.e. when we enter a function or assign a new value to a variable in the current activation record.

–          When we write the contents of the stack, we write the contents of the whole stack, including previous activation records.

–          Each activation record is identified by a bold line specifying the name of the function & the parameters passed to it when it was invoked.

–          It is followed by a bullet list with one item per parameter or local variable.

–          New activation records are added at the end of the contents of the previous stack

 

Line #

What happens?

Stack is

10

Entering main function

main’s activation record

–          No local vars / parameters

11

Invoking function pwr as part of executing the printf

Stack is the same, no need to repeat it

4

Entering pwr function with arguments 5 & 3

main’s activation record

–          No local vars / parameters

pwr(5,3) activation record

–          x is 5

–          y is 3

5

Testing if y is 0 à false

 

6

Testing if y is 1 à false

 

7

Invoking pwr(5,2) as part of return statement

 

4

Entering pwr function with arguments 5 & 2

main’s activation record

–          No local vars / parameters

pwr(5,3) activation record

–          x is 5

–          y is 3

pwr(5,2) activation record

–          x is 5

–          y is 2

5

Testing if y is 0 à false

 

6

Testing if y is 1 à false

 

7

Invoking pwr(5,1)

 

4

Entering pwr function with arguments 5 & 1

main’s activation record

–          No local vars / parameters

pwr(5,3) activation record

–          x is 5

–          y is 3

pwr(5,2) activation record

–          x is 5

–          y is 2

pwr(5,1) activation record

–          x is 5

–          y is 1

5

Testing if y is 0 à false

 

6

Testing if y is 1 à true

 

6

Return value x which is 5

 

7

Back from invocation of pwr(5,1) with result 5.

 

main’s activation record

–          No local vars / parameters

pwr(5,3) activation record

–          x is 5

–          y is 3

pwr(5,2) activation record

–          x is 5

–          y is 2

7

Return the result * x

= 5 * 5

= 25

 

7

Back from invocation of pwr(5,2) with result 25

main’s activation record

–          No local vars / parameters

pwr(5,3) activation record

–          x is 5

–          y is 3

7

Return the result * x

= 5 * 25

= 125

 

11

Back from invocation of pwr(5,3) with result 125

main’s activation record

–          No local vars / parameters

11

Printf now displays

“5 to the power 3 is 125

 

12

return EXIT_SUCCESS from main function

Stack is empty

 

Question #1 – Tracing Programs

We are going to trace the following program, i.e. simulate in your head how it would execute on a computer. To help you, a trace table is provided for you to fill. Unlike exam E1, our focus here is not only on keeping track of the values of each variables but also the activation records pushed on the program’s execution stack.

Program to Trace

1   #include <stdio.h>

2   #include <stdlib.h>

3    

4   int mystery(int v1, int v2){

5     if( (v1 < 1) || (v2 < 1) )   return 0;

6     if( v1 < v2 ) return mystery(v1, v2-1)+1;

7     if( v2 < v1 ) return mystery(v1-1, v2)+1;

8     return mystery(v1-1, v2-1);

9   }

10 

11int main(){

12  int tmp = 0;

13  tmp = mystery(3,2);

14  printf(“result is %dn”, tmp);

15  return EXIT_SUCCESS;

16}

Trace Table to Fill

Feel free to add / remove rows if necessary

Line #

What happens?

Stack is

11

Entering main function

main’s activation record

–           

12

Define & initialize tmp

main’s activation record

–          tmp is 0

…

 

 

 

Question #2 – Testing Programs

You are going to write tests for the following program.

Its requirements are to

–          Take an integer array data of SIZE elements

–          Take a positive, non-null, integer value n

–          If the value is null or negative, the program should not alter the array

–          If it is positive, each element in the array should be shifted right by n positions

–          If an element is pushed past the end of the array, we keep pushing it as if the end of the array connected to its start. Our array is a kind of “ring”.

 

Your objective is to write tests which will guarantee

–          The program conforms to the requirements; the program below might or might not, your tests need to be able to determine this

–          All possible execution paths have been tested

–          Your program does not feature any of the novice errors discussed in the textbook / videos / …

Program to Test

1   // all arrays in this program will have same size

2   #define SIZE 3

3    

4   void rotate(int data[], int n){

5     int index = 0;

6     int tmp[SIZE];

7    

8     // copying data into tmp array

9     for(index = 0 ; index < SIZE ; index++){

10       tmp[index] = data[index];   

11  }

12 

13  for(index = 0 ; index < SIZE ; index++){

14       next = (index + n) % SIZE;

15       data[next] = tmp[index];         

16  }

17}

Tests Table to Fill

Feel free to add / remove rows if necessary

Test #

Inputs’ Values

Expected Results

Explanations;

What did you use this test for?

Why is it not redundant with others?

data

n

data

0

1

2

0

1

2

 

 

 

 

 

 

 

 

 

Question #3 – Refactoring Programs

Refactor the following code; i.e. improve its quality without modifying its behavior;

–          Use meaningful names for variables, parameters & functions

–          Provide proper documentation as required in the PAs

–          Provide proper indentation & programming style similar  to the examples from the textbook, videos & PAs

–          Remove useless code

–          Simplify program

–          Improve performance

You will provide your version in the “Your Modified Version” subsection which is already pre-filled with the original. Then, for each improvement you applied, use the table in the “Summary” subsection to explain what you did & why you did it.

Program to Refactor

1   int mystery(int v1, int v2){

2     if( (v1 < 1) || (v2 < 1) )   return 0;

3     if( v1 < v2 ) return mystery(v1, v2-1)+1;

4     if( v2 < v1 ) return mystery(v1-1, v2)+1;

5     return mystery(v1-1, v2-1);

6   }

Your Improved Version

1   int mystery(int v1, int v2){

2     if( (v1 < 1) || (v2 < 1) )   return 0;

3     if( v1 < v2 ) return mystery(v1, v2-1)+1;

4     if( v2 < v1 ) return mystery(v1-1, v2)+1;

5     return mystery(v1-1, v2-1);

6   }

Summary of Improvements

Feel free to add rows to, or remove rows from, this table as needed;

 

What did you modify

How did you modify it?

Why did you modify it?

 

 

 

 

 

 

 

 

 

Question #4 – Debugging Programs

The following function has all sorts of problems in implementing the requirements. We need you to list the errors you found in the table below along with how you would fix them. You will then provide the fixed version of the function. Here is the documentation for the interleave function. You will use this information as requirements;

–          Role

§  Modifies the array result so it contains alternated elements from d1 & d2

§  Example – if d1 = {1,3,5} & d2 = {2,4,6} then result = {1,2,3,4,5,6}

–          Parameters

§  d1 & d2 arrays of SIZE integers

§  result array of SIZE*2 integers

§  No need to pass the size of the arrays, we expect SIZE to have been globally #define’d

–          Return Values

§  n/a

Program to Debug

1   // arrays passed as d1 / d2 have the following size

2   // array passed as result will always be 2*SIZE

3   #define SIZE 3

4    

5   void interleave(int d1[], int d2[], int result[]){

6     int n=0;

7     for( ; n <= SIZE ; n++){

8          result[n] = d1[n];

9          result[n+1] = d2[n];

10  }

11}

Bugs Table

Identify each bug you find & provide the lines # where it happens. In addition, explain what the problem was, then how you fixed it. If the same bug appears at different line, just enter it one time in the table but specify all the lines where it happens.

Bug #

Lines #

Problem you identified

How you fixed it

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Your Fixed Version

Apply all the fixes you listed in the table to the code below to make it your fixed version. Please note that if a bug is fixed below but not in the table, or the other way around, you won’t get credit for it. You need to have both the bug and its explanations in the table and have it fixed below.

1   // arrays passed as d1 / d2 have the following size

2   #define SIZE 3

3    

4   void interleave(int d1[], int d2[], int result[]){

5     int n=0;

6     for( ; n <= SIZE ; n++){

7          result[n] = d1[n];

8          result[n+1] = d2[n];

9     }

 

10}

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July 1, 2023
    

 

81. Which of the following statements regarding the benefits of group psychotherapy is false? 
A. Group psychotherapy tends to raise each client's expectations for improvement.
B. The group experience makes clients more willing to share their feelings.
C. Participants in group therapy deal with their problems without the aid of therapists.
D. Group psychotherapy allows clients to try out new skills in a supportive environment.

82. The Robinson family has been experiencing family conflicts for the past two years. The parents attribute many of the conflicts to their son, Thom. Thom is fourteen and has been getting into trouble at school since the age of twelve. They seek help from a clinician renowned for her work in family therapy. Ultimately, the _____ become(s) the client and treatment will focus on _____. 
A. child; helping Thom adjust to the pressures of adolescence
B. parents; creating a more structured environment for Thom
C. family; family interaction patterns
D. parents; helping them understand Thom

83. Henry is fourteen years old and an alcoholic. His parents take him and his younger brother to a family therapist. Which of the following statements would that therapist most likely make to Henry's family? 
A. “Problems like this do not occur in a vacuum. I believe the parents are responsible for Henry's condition and are the ones with the true problem.”
B. “No single person has a problem here. The entire family has a problem. Here we are going to learn how to communicate with and support each other better.”
C. “Henry has a problem. In order to make this therapy work, Henry must first repay each family member for the grief he has caused.”
D. “Henry must stop drinking before any other family member will talk, eat, or in any way interact with him. The family must be strong in the commitment or the therapy will fail.”

84. Alex and Tricia have been married for two years. Recently they have felt as though they are growing apart. Alex and Tricia plan to attend couples therapy because they know that its main goal is to 
A. teach them to keep their emotions bottled up.
B. determine who is most responsible.
C. improve their communication.
D. eliminate “rules” in the relationship.

85. In couples therapy, Tom and Geraldine hope to salvage their difficult marriage. Tom and Geraldine should expect all of the following from couples therapy except 
A. learning to abide by rules of talking.
B. recovering from fights by expressing more positive statements.
C. discussing best practices with other couples in the group sessions.
D. identifying miscommunication or lack of communication.

86. Eysenck's controversial research findings highlight the difficulty in scientifically determining whether psychotherapy works. All of the following are mentioned as concerns with determining the effectiveness of psychotherapy except: 
A. Placebo and experimenter bias effects
B. Figuring out how to measure a client's improvement
C. The nature and quality of the therapist-client relationship
D. The client's motivation to change

87. Which of the following best summarizes the research on the effectiveness of psychotherapy? 
A. Behavior therapy is more effective than psychoanalysis in all cases.
B. There are no clinically significant differences between individuals who have undergone psychotherapy and those who have not.
C. Psychoanalysis is best for treating people with long-standing personality disorders.
D. There are no significant differences in the overall effectiveness of behavior therapy, humanistic therapy, and psychodynamic therapy.

88. Mary has a mental disorder and wants to see a therapist. She wants to make sure to choose the best type of therapy for the most effective treatment. What type of therapy should she choose? 
A. Behavioral
B. Rational-emotive behavior
C. Phenomenological
D. No single type of therapy has been proven to work better than all others for all types of disorders.

89. Which of the following is not a criticism of empirically supported therapies (ESTs)? 
A. The widespread use of ESTs might suppress the development of new treatment methods.
B. ESTs overemphasize the importance of developing a therapeutic relationship between client and therapist.
C. Research on ESTs may not be valid because clients and therapists are not paired up at random in the real world.
D. The studies supporting ESTs were limited by the fact that therapists were not allowed to adapt treatment methods to the needs of particular clients.

90. A friend asks your advice about what is most important in evaluating a therapist. You answer: 
A. “Don't even bother with therapy! Studies have shown that people in therapy recover more slowly than people not in therapy.”
B. “Check out a therapist's track record of clinically significant success in treating problems similar to yours.”
C. “Make sure that the therapist adheres to the techniques of her or his approach, as the therapist probably is not trained in the techniques of other approaches.”
D. “Make sure the therapist uses psychoanalysis, because it has been proven the most effective approach.”

 

default image
July 1, 2023
    

 

81. Which of the following statements regarding the benefits of group psychotherapy is false? 
A. Group psychotherapy tends to raise each client's expectations for improvement.
B. The group experience makes clients more willing to share their feelings.
C. Participants in group therapy deal with their problems without the aid of therapists.
D. Group psychotherapy allows clients to try out new skills in a supportive environment.

82. The Robinson family has been experiencing family conflicts for the past two years. The parents attribute many of the conflicts to their son, Thom. Thom is fourteen and has been getting into trouble at school since the age of twelve. They seek help from a clinician renowned for her work in family therapy. Ultimately, the _____ become(s) the client and treatment will focus on _____. 
A. child; helping Thom adjust to the pressures of adolescence
B. parents; creating a more structured environment for Thom
C. family; family interaction patterns
D. parents; helping them understand Thom

83. Henry is fourteen years old and an alcoholic. His parents take him and his younger brother to a family therapist. Which of the following statements would that therapist most likely make to Henry's family? 
A. “Problems like this do not occur in a vacuum. I believe the parents are responsible for Henry's condition and are the ones with the true problem.”
B. “No single person has a problem here. The entire family has a problem. Here we are going to learn how to communicate with and support each other better.”
C. “Henry has a problem. In order to make this therapy work, Henry must first repay each family member for the grief he has caused.”
D. “Henry must stop drinking before any other family member will talk, eat, or in any way interact with him. The family must be strong in the commitment or the therapy will fail.”

84. Alex and Tricia have been married for two years. Recently they have felt as though they are growing apart. Alex and Tricia plan to attend couples therapy because they know that its main goal is to 
A. teach them to keep their emotions bottled up.
B. determine who is most responsible.
C. improve their communication.
D. eliminate “rules” in the relationship.

85. In couples therapy, Tom and Geraldine hope to salvage their difficult marriage. Tom and Geraldine should expect all of the following from couples therapy except 
A. learning to abide by rules of talking.
B. recovering from fights by expressing more positive statements.
C. discussing best practices with other couples in the group sessions.
D. identifying miscommunication or lack of communication.

86. Eysenck's controversial research findings highlight the difficulty in scientifically determining whether psychotherapy works. All of the following are mentioned as concerns with determining the effectiveness of psychotherapy except: 
A. Placebo and experimenter bias effects
B. Figuring out how to measure a client's improvement
C. The nature and quality of the therapist-client relationship
D. The client's motivation to change

87. Which of the following best summarizes the research on the effectiveness of psychotherapy? 
A. Behavior therapy is more effective than psychoanalysis in all cases.
B. There are no clinically significant differences between individuals who have undergone psychotherapy and those who have not.
C. Psychoanalysis is best for treating people with long-standing personality disorders.
D. There are no significant differences in the overall effectiveness of behavior therapy, humanistic therapy, and psychodynamic therapy.

88. Mary has a mental disorder and wants to see a therapist. She wants to make sure to choose the best type of therapy for the most effective treatment. What type of therapy should she choose? 
A. Behavioral
B. Rational-emotive behavior
C. Phenomenological
D. No single type of therapy has been proven to work better than all others for all types of disorders.

89. Which of the following is not a criticism of empirically supported therapies (ESTs)? 
A. The widespread use of ESTs might suppress the development of new treatment methods.
B. ESTs overemphasize the importance of developing a therapeutic relationship between client and therapist.
C. Research on ESTs may not be valid because clients and therapists are not paired up at random in the real world.
D. The studies supporting ESTs were limited by the fact that therapists were not allowed to adapt treatment methods to the needs of particular clients.

90. A friend asks your advice about what is most important in evaluating a therapist. You answer: 
A. “Don't even bother with therapy! Studies have shown that people in therapy recover more slowly than people not in therapy.”
B. “Check out a therapist's track record of clinically significant success in treating problems similar to yours.”
C. “Make sure that the therapist adheres to the techniques of her or his approach, as the therapist probably is not trained in the techniques of other approaches.”
D. “Make sure the therapist uses psychoanalysis, because it has been proven the most effective approach.”

 

default image
July 1, 2023
    

 

81. Which of the following statements regarding the benefits of group psychotherapy is false? 
A. Group psychotherapy tends to raise each client's expectations for improvement.
B. The group experience makes clients more willing to share their feelings.
C. Participants in group therapy deal with their problems without the aid of therapists.
D. Group psychotherapy allows clients to try out new skills in a supportive environment.

82. The Robinson family has been experiencing family conflicts for the past two years. The parents attribute many of the conflicts to their son, Thom. Thom is fourteen and has been getting into trouble at school since the age of twelve. They seek help from a clinician renowned for her work in family therapy. Ultimately, the _____ become(s) the client and treatment will focus on _____. 
A. child; helping Thom adjust to the pressures of adolescence
B. parents; creating a more structured environment for Thom
C. family; family interaction patterns
D. parents; helping them understand Thom

83. Henry is fourteen years old and an alcoholic. His parents take him and his younger brother to a family therapist. Which of the following statements would that therapist most likely make to Henry's family? 
A. “Problems like this do not occur in a vacuum. I believe the parents are responsible for Henry's condition and are the ones with the true problem.”
B. “No single person has a problem here. The entire family has a problem. Here we are going to learn how to communicate with and support each other better.”
C. “Henry has a problem. In order to make this therapy work, Henry must first repay each family member for the grief he has caused.”
D. “Henry must stop drinking before any other family member will talk, eat, or in any way interact with him. The family must be strong in the commitment or the therapy will fail.”

84. Alex and Tricia have been married for two years. Recently they have felt as though they are growing apart. Alex and Tricia plan to attend couples therapy because they know that its main goal is to 
A. teach them to keep their emotions bottled up.
B. determine who is most responsible.
C. improve their communication.
D. eliminate “rules” in the relationship.

85. In couples therapy, Tom and Geraldine hope to salvage their difficult marriage. Tom and Geraldine should expect all of the following from couples therapy except 
A. learning to abide by rules of talking.
B. recovering from fights by expressing more positive statements.
C. discussing best practices with other couples in the group sessions.
D. identifying miscommunication or lack of communication.

86. Eysenck's controversial research findings highlight the difficulty in scientifically determining whether psychotherapy works. All of the following are mentioned as concerns with determining the effectiveness of psychotherapy except: 
A. Placebo and experimenter bias effects
B. Figuring out how to measure a client's improvement
C. The nature and quality of the therapist-client relationship
D. The client's motivation to change

87. Which of the following best summarizes the research on the effectiveness of psychotherapy? 
A. Behavior therapy is more effective than psychoanalysis in all cases.
B. There are no clinically significant differences between individuals who have undergone psychotherapy and those who have not.
C. Psychoanalysis is best for treating people with long-standing personality disorders.
D. There are no significant differences in the overall effectiveness of behavior therapy, humanistic therapy, and psychodynamic therapy.

88. Mary has a mental disorder and wants to see a therapist. She wants to make sure to choose the best type of therapy for the most effective treatment. What type of therapy should she choose? 
A. Behavioral
B. Rational-emotive behavior
C. Phenomenological
D. No single type of therapy has been proven to work better than all others for all types of disorders.

89. Which of the following is not a criticism of empirically supported therapies (ESTs)? 
A. The widespread use of ESTs might suppress the development of new treatment methods.
B. ESTs overemphasize the importance of developing a therapeutic relationship between client and therapist.
C. Research on ESTs may not be valid because clients and therapists are not paired up at random in the real world.
D. The studies supporting ESTs were limited by the fact that therapists were not allowed to adapt treatment methods to the needs of particular clients.

90. A friend asks your advice about what is most important in evaluating a therapist. You answer: 
A. “Don't even bother with therapy! Studies have shown that people in therapy recover more slowly than people not in therapy.”
B. “Check out a therapist's track record of clinically significant success in treating problems similar to yours.”
C. “Make sure that the therapist adheres to the techniques of her or his approach, as the therapist probably is not trained in the techniques of other approaches.”
D. “Make sure the therapist uses psychoanalysis, because it has been proven the most effective approach.”

 

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I turned to the service twice, and my papers always were beyond the expectations. To tell the truth, I was ready to find some grammar errors or something like that. However, everything was neat and tidy.

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customer #18529
Marketing, 1 page
August 5, 2021

My friend recommended Doctor My Essay to me. It is convenient! Now we both turn to the service periodically coz wanna save some time and use it more effectively. I know that while I’m developing my startup, an expert is working on paper. Time management in work!

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Research Paper
August 5, 2021
    

I write all paper works by myself but have some problems with literacy. Actually, I have enormous problems because English is not my native language. However, with proofreading from Doctor My Essay, I can relax and don’t be ashamed of mistakes.

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customer #12924
Business, 7 pages
Argumentative Essay
August 5, 2021
    

Your ability to write concisely is a finding. The paper has a solid argument. It’s clear that the writer understood central claim about the topic. He also presented original ideas to consider.

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customer #19304
Management, 3 pages
Coursework
August 5, 2021
    

That paper got the highest grade in my class and the professor thinks I’m the smartest student. Lol.

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customer #12387
Accounting, 6 pages
Essay (any type)
August 5, 2021
    

I was convinced that paper writing services are the fiction for naive students. But when it came to my research paper that was to be composed in 72 hours, I had no other options. I made the right choice when I ordered it from you!

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customer #12924
Ethics, 4 pages
Business Plan
August 5, 2021
    

I was also satisfied with the service. Usually, I write everything by myself, but this time ( I have no idea how it happens!) I missed the deadline. My writer was very responsible, wrote the essay quickly, and kept the instructions. Nice to know that such experts exist!

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customer #15677
Marketing, 10 pages
Annotated Bibliography
August 5, 2021
    

It is really affordable! The prices start from 9$, which is an excellent proposal on the market. Recently I worked with another service that took much more money and provided lower quality papers.

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customer #11234
Sociology, 9 pages
Research proposal
August 5, 2021
    

I am absolutely satisfied. I am first timer here. Revision was made quickly, and the author met my expectations. Thanks a lot. Paper is phenomenal.

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customer #15327
Economics, 5 pages
Essay (any type)
August 5, 2021
    

Having heard a lot of negative reviews about such services, I was a bit skeptical. However, our cooperation with Doctor My Essay was without pitfalls. I made two comments about the final work, and they re-wrote some parts very promptly. I am satisfied and will turn to them in the future.

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customer #17823
Human Resource Management, 2 pages
Research paper
August 5, 2021
    

It was my first experience in online ordering, and I was a bit nervous. However, this was for nothing. I’ve got a high mark!

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customer #12372
Public Relations, 3 pages
Dissertation
August 5, 2021
    

I understand that buying essays is a doubtful thing. You don’t put effort, don’t represent your ideas… However, I don’t perceive Doctor My Essay as a standard service. They don’t sell papers. They share high expertise!

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customer #12376
Journal article, 20 pages
Coursework
August 5, 2021
    

According to my previous experience, this service is really the best. They support the client and have competitive writers. I give them a perfect score!

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customer #19266
Political Science, 6 pages
Admission Essay
August 5, 2021
    

Nice service! It is cool that you can use the calculator on the main page and understand the price policy. For me, it is a huge plus!

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customer #11437
Tourism, 1 page
Discussion Essay
August 5, 2021
    

Thanks to God I found this service! If I didn’t send my research to the teacher on time, he would eat me. I tell you! However, with doctor my essay service, I met the deadline, and I am still alive.

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customer #12692
Philosophy, 5 pages
Report
August 5, 2021
    

Your service is excellent! Convenient and not expensive. Thanks for that!

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customer #10923
Psychology, 4 pages
Essay (any type)
August 5, 2021
    

If you have problems with time management, just like me, you need to cooperate with Doctor My Essay. Once you registered and made the order, you understand how easier it makes your life! Everything is online: ordering, communication… You can control the process everywhere and be sure that an expert will provide a high-level paper.

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customer #17823
Business, 8 pages

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
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  • Unlimited revisions
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  • Money-back guarantee
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  • Part-by-part delivery
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  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

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That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

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Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

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