Practice Lecture - 45 - 24.1.1 | 24. Module – 02 | Design & Analysis of Algorithms - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a recursive function?

💡 Hint: Think of how factorials are computed.

Question 2

Easy

What is memoization?

💡 Hint: Remember it helps avoid repeated calculations.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the time complexity of naive recursive Fibonacci?

  • O(n)
  • O(log n)
  • O(2^n)

💡 Hint: Consider how many calls are made in a recursion tree.

Question 2

True or False: Memoization can reduce the time complexity of recursive functions.

  • True
  • False

💡 Hint: Remember how it stores values.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using dynamic programming, create an algorithm to compute the nth Fibonacci number and count how many times the function was called.

💡 Hint: Use an array to hold computed Fibonacci values and loop through for the final result.

Question 2

Propose a new recursive function incorporating memoization to compute the nth Fibonacci number in Python. Show the implementation.

💡 Hint: Choose a dictionary to map inputs to Fibonacci results.

Challenge and get performance evaluation