Practice Illustration of Memoization vs Dynamic Programming - 2.3 | 2. Inductive Formulation of the Grid Path | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is memoization?

💡 Hint: Think about functions that call themselves.

Question 2

Easy

How do you handle a hole in a grid path count?

💡 Hint: Remember the path continuity.

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 primary advantage of using dynamic programming?

  • A. It computes only needed values
  • B. It systematically solves all subproblems
  • C. It runs slower than recursion

💡 Hint: Think about the difference in approach between both methods.

Question 2

True or False: Memoization will calculate every possible value in advance.

  • True
  • False

💡 Hint: Remember how memoization works.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a 6x6 grid with holes at (2,1), (2,3), and (4,5), calculate the number of paths from (0,0) to (5,5).

💡 Hint: Visualize the grid and observe how holes restrict movement.

Question 2

Design a function in pseudo-code to implement grid path counting using dynamic programming with hole handling. Explain its efficiency.

💡 Hint: Focus on looping through each cell and applying path calculations iteratively.

Challenge and get performance evaluation