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Test your understanding with targeted questions related to the topic.
Question 1
Easy
How many paths are there to the point (0,0)?
💡 Hint: Consider your starting point.
Question 2
Easy
What happens to the path count if there’s a hole at (2,3)?
💡 Hint: Think about the implications of obstacles.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the path count from (0,0) to (0,0)?
💡 Hint: Think about movement options.
Question 2
Paths to a point with a hole are counted as?
💡 Hint: Remember the role of obstacles.
Solve 2 more questions and get performance evaluation
Push your limits with challenges.
Question 1
In a 6x6 grid with holes at (2,2) and (3,3), compute the number of paths to (5,5) through dynamic programming and illustrate your table.
💡 Hint: Start with your base cases and fill each cell considering blockage from holes.
Question 2
Construct a comprehensive table showing both memoized and dynamically programmed solutions for a 5x5 grid with four holes randomly distributed.
💡 Hint: Use both methods to fill the same grid and compare the resulting path counts, especially noting differences in efficiency.
Challenge and get performance evaluation