2.1.5 - Challenges with Recursion
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Practice Questions
Test your understanding with targeted questions
Define recursion in your own words.
💡 Hint: Think of how a task can be broken down into smaller, similar tasks.
What is a base case in recursion?
💡 Hint: Consider the simplest form of a problem to illustrate what the base case is.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does recursion rely on to solve problems?
💡 Hint: Think of how a problem can be simplified into smaller versions.
True or False: In dynamic programming, paths through holes are calculated as non-existent.
💡 Hint: Consider how you would navigate around obstacles.
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Challenge Problems
Push your limits with advanced challenges
Calculate the number of unique paths in a grid with dimensions 5x5 but with holes at (2,2) and (3,3).
💡 Hint: Consider using dynamic programming to fill out each cell based on its neighbors.
Demonstrate how using recursion for grid paths can lead to a time complexity issue. Define an example and show how memoization would resolve it.
💡 Hint: Think about overlapping subproblems and how caching can optimize the process.
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