"""
ASSIGNMENT RULES
- You are strictly forbidden to share answers with your course mates.
- You are not allowed to search for answers on the Internet. You are not 
    allowed to ask for answers in forums or other online communication systems. 
- Note that, when you find an answer on the web, somebody else will also find 
    it and use it. This means, both of you will submit the exact same answer. 
    This, then, means cheating, no matter you know the other person or not. 
- If your answers are similar to some other student's answers, you will 
    receive -100 points from the assignment. We don't care whether you know 
    the other person or not, we don't care whether he/she is your friend or not, 
    we don't care who delivered and who received. Both parties get -100 points.
- You are not allowed to import any packages. If there are any imports in your
    submission, we will remove them before grading.
- If your file doesn't compile, then you receive 0. Make sure that your
    indentation and syntax is correct. 
- Do not change the below function definitions. In other words, DO NOT CHANGE 
    the function names and the parameters of the functions. You are only allowed 
    to write code within the function scope.
- Do not print anything on the screen unless you are asked to. Some questions 
    require you to RETURN a value. Printing that value on the screen is not equal 
    to returning the value. 
- Do not submit any testing code. 


DO NOT FORGET TO FILL THE LINES BELOW:

My full name     : _______________
My student ID    : _______________
My department    : _______________
My piazza email  : _______________
"""

"""
Question 1: (30 points)

Write a function named `pyramid(s)` that takes a string as its input
and PRINTs out a pyramid on the screen based on this string. For example,
when called as `pyramid("BURKAY")` it will print:

B
UU
RRR
KKKK
AAAAA
YYYYYY
"""

def pyramid(s):
    # You must first remove this empty return  line to answer this question.
    # Do not remove it if you will leave this question unanswered.
    return


 
"""
Question 2: (35 Points)

Two integers are relatively prime (or coprime) if there is no integer greater 
than one that divides them both (that is, their greatest common divisor is 1).
Write a function that takes two integers and RETURNs True if the integers have 
a common divisor that is different than 1 (if they are not relatively prime), 
otherwise returns False. 

For example, notRelPrime(3,5) returns False, whereas notRelPrime(8,12) returns
True. Because, 3 and 5 have only one common divisor, which is 1, whereas 8 and 
12 are both divisible by 1, 2 and 4. 
"""
 
def notRelPrime(a,b):
    # You must first remove this empty return  line to answer this question.
    # Do not remove it if you will leave this question unanswered.
    return 



"""
Question 3: (35 points)

Write a function that computes and RETURNs the following recursive value:
 
A(n)    =   A(n-1) + 1  , if n is odd
            A(n-1) + 2  , if n is even
            0           , if n is 1
"""

def recursion(n):
    # You must first remove this empty return line to answer this question.
    # Do not remove it if you will leave this question unanswered.
    return