- 17th Jul 2024
- 12:25 pm
In this assignment, you will explore the time complexity of three algorithms using Big O notation, write a Python function to compute the nth Fibonacci number, evaluate postfix expressions, and implement a Stack and Queue to manipulate and output your student ID. Our experts can guide you through understanding algorithm complexities, developing efficient Python functions, and implementing data structures, ensuring you grasp these fundamental computer science concepts.
- Question 1 - What is the time complexity of the following three algorithms? Express your answer in terms of Big O notation and justify your answer:
- Question 2 - Write a Python function that returns the nth Fibonacci number, where n is an integer passed as a parameter to the function.
- Question 3 - Evaluate the following postfix expressions, giving your answer as a single number: a) 5 4 * 9 +
- Question 4 - First implement a Stack to insert your student ID digit by digit in order such as 213xxxxx then empty your stack and insert the output into the Queue. What will be the output if you empty the Queue? Demonstrate your work by showing the steps for both Stack and Queue and screenshot of your code and output. Assuming both stack and queue are initially empty.
Algorithms and Data Types - CP40064E - Get Assignment Solution
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Free Assignment Solution - Algorithms and Data Types - CP40064E
Solution 1:
a)O(n) - We are having n names for each name loop will run therefore O(n)
b)O(1) - We are having two cases either if condition will get execute or else And both of them will be executed in constant time
c)O(n^2) - One value of i is iterating for n times and we have n values therefore complexity comes out to be O(n^2)
Solution 2:
def get_fibonacci(n):
if n == 1:
return 0
elif n == 2:
return 1
else:
return get_fibonacci(n-1) + get_fibonacci(n-2)
print("Student Name: Hamze Khayre")
print("Student Id: 21518931")
n = int(input("Enter the value of n: "))
print("Fibonacci Number:",get_fibonacci(n))
Solution 3:
Evaluate the following postfix expressions, giving your answer as a single number:
a) 5 4 * 9 + = 29
b) 8 3 7 * + 4 – = 4
c) 16 12 + 4 * 2 / = 6
Convert the following infix expressions to postfix:
d) 9 + 2 * 20 – 4 = 9 2 20 – 4 * +
e) 4 + 5 * 7 / 3 = 4 5 7 * 3 / +
f) (20 – 8) * (42 – 16) / (21 + 6) = 20 – 8 42 – 16 * 21 6 + /
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About The Author - Rehana Mat
Rehana Mat is an accomplished educator specializing in computer science, adept at explaining intricate topics such as algorithm time complexity, Fibonacci number computation in Python, postfix expression evaluation, and implementing data structures like stacks and queues. With a focus on clarity and practical learning, Rehana fosters a strong understanding of foundational concepts in her students.
