Practice Time And Space Complexity (7.6) - Understand the Principles of Dynamic Programming for Algorithmic Optimization
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Time and Space Complexity

Practice - Time and Space Complexity

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the typical time complexity for dynamic programming problems?

💡 Hint: Think of the dimensions of the DP table.

Question 2 Easy

What is space complexity?

💡 Hint: Consider how memory usage grows with input size.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time complexity for dynamic programming?

O(n)
O(log n)
O(n·m)
O(1)

💡 Hint: Consider how subproblems interact.

Question 2

True or False: Rolling arrays always increase the time complexity.

True
False

💡 Hint: Think about what rolling arrays actually do.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a DP problem that requires O(n²) time and O(n) space. If you use rolling arrays, what will be the time and space complexity?

💡 Hint: Focus on what rolling arrays replace.

Challenge 2 Hard

You are solving the 0/1 Knapsack problem. Explain how the two rows approach can optimize memory usage.

💡 Hint: Visualize how only recent information is needed.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.