Practice Time and Space Complexity - 7.6 | 7. Understand the Principles of Dynamic Programming for Algorithmic Optimization | Data Structure
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the typical time complexity for dynamic programming problems?

πŸ’‘ Hint: Think of the dimensions of the DP table.

Question 2

Easy

What is space complexity?

πŸ’‘ Hint: Consider how memory usage grows with input size.

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 for dynamic programming?

  • O(n)
  • O(log n)
  • O(nΒ·m)
  • O(1)

πŸ’‘ Hint: Consider how subproblems interact.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Think about what rolling arrays actually do.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a DP problem that requires O(nΒ²) time and O(n) space. If you use rolling arrays, what will be the time and space complexity?

πŸ’‘ Hint: Focus on what rolling arrays replace.

Question 2

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

πŸ’‘ Hint: Visualize how only recent information is needed.

Challenge and get performance evaluation