# Lab 7 - Exercise 1 - Problem 4

def magic(aNumber, aSymbol, end):
 print(aSymbol * aNumber)
 if aNumber <= end : 
    magic(aNumber+1, aSymbol, end)
    print(aSymbol * aNumber)
 return

# Main part of the program
magic( 3, "*", 7)
print("Wow!") 

# c) What happens when we call magic() with the argument 10 instead of 3?
magic( 10, "*", 7)
print("Wow!")


# a) Base case is implicit (i.e., not written in the program) -> "if aNumber > end : return"
#    Recursive case -> "magic(aNumber+1, aSymbol)"
#
#    What is the difference between the base case and recursive case of this function magic()
#    and the base case and recursive case of the function magic() in Problem 2 above?
#
#    Answer: The recursive case of Problem 4 (above) increased the variable
#           aNumber in the recursive case and the recursive calls stopped when aNumber
#           exceeded the large number 7, while the recursive case of Problem 2 decreased
#           the variable aNumber in the recursive case and the
#           recursive calls stopped when aNumber became smaller than 1

# b) How many times is the function magic( ) in the above program called? 6 times

# c) What happens when we call magic() with the argument 10 instead of 3?
#   The base case is reached during the first and only call to magic( ).
# Output:
# **********
# Wow!