23.1 - Inductive Definitions
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Practice Questions
Test your understanding with targeted questions
Define the factorial of 4 using the inductive definition.
💡 Hint: Start by breaking down 4! step by step.
What is the base case for the factorial function?
💡 Hint: Think about what happens when you have zero items.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the base case for the inductive definition of factorial?
💡 Hint: Consider what factorial means for zero.
True or False: Greedy algorithms always guarantee an optimal solution.
💡 Hint: Consider scenarios like weighted interval scheduling.
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Challenge Problems
Push your limits with advanced challenges
Prove that the recursive definition of factorial is correct through induction.
💡 Hint: Start with simple values to show it holds.
Given the interval scheduling problem with weights, design an efficient algorithm using dynamic programming.
💡 Hint: Consider maintaining an array of best weights to avoid overlaps.
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