2.3.1 - Effect of Holes on Computation
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Practice Questions
Test your understanding with targeted questions
What is the base case for paths at (0, 0)?
💡 Hint: Consider how many ways you can stay at the origin.
If there is a hole at (1, 1), what will paths(1, 1) equal?
💡 Hint: Think about how many paths can reach a hole.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What condition states that paths equal zero?
💡 Hint: Remember the definition of a hole in the grid.
Dynamic programming builds solutions in what manner?
💡 Hint: Analyze the structure of dynamic programming.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a 5x5 grid with holes at (2, 2) and (3, 3), outline a path-finding algorithm that utilizes dynamic programming to calculate how to reach (4, 4).
💡 Hint: Create your table based on a structure where you check left and below for computations.
Create a memoized function to compute paths in a 3x3 grid, explaining how you avoid repeated calls.
💡 Hint: Think about the strategy for storing results to prevent re-evaluation.
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