Practice - Inductive Structure of the Problem
Practice Questions
Test your understanding with targeted questions
What is a grid path?
💡 Hint: Think of a coordinate system.
How many total steps are needed to reach (5, 10) from (0, 0)?
💡 Hint: Count the moves in both directions.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the total number of distinct paths from (0, 0) to (5, 10)?
💡 Hint: Think about combinations of moves.
True or False: The only movements allowed in a grid path are upward and downward.
💡 Hint: Consider the direction restrictions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Design a recursive function to compute the number of valid paths in a grid of size m x n with certain cells blocked. Include memoization.
💡 Hint: Use a 2D array for memoization.
Calculate the number of paths from (0,0) to (m,n) if multiple intersections are blocked given an obstacle list.
💡 Hint: Carefully track overlapping paths.
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Reference links
Supplementary resources to enhance your learning experience.