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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
If you are at (0,0), how many paths are there to (0,0)?
💡 Hint: Consider what it means to stay in the same place.
Question 2
Easy
Name two ways you can reach the point (2,1) in a grid starting from (0,0).
💡 Hint: Think about moving in increments of 1.
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 formula for calculating paths to point (i,j) in a grid?
💡 Hint: Think about where you can move to reach (i,j).
Question 2
True or False: In a grid with holes, all path values are affected by zero values.
- True
- False
💡 Hint: Consider the flow of paths in relation to holes.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a 5x5 grid with holes at (2,2) and (3,3), write a function to compute paths from (0,0) to (4,4) programmatically. Show your results for multiple layouts of holes.
💡 Hint: Map out the grid with a two-dimensional array for ease.
Question 2
Describe a scenario where using memoization might fail compared to dynamic programming when adding complexity (like adding more holes or larger grid sizes).
💡 Hint: Consider performance and time with increasing complexity in problem.
Challenge and get performance evaluation