2.1.1 - Paths to (i,j)
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Practice Questions
Test your understanding with targeted questions
How do you calculate the number of paths to (2,1) from (0,0)?
💡 Hint: Count the ways to get to the first point and then to the second.
What is the value of paths(0,0)?
💡 Hint: Think about staying in one spot.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the key method used to calculate paths(i,j) in a grid?
💡 Hint: Think about the movement options on a grid.
True or False: If there is a hole at (2,1), paths(2,1) would be zero.
💡 Hint: Consider how holes affect calculations.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Design a 5x5 grid with multiple holes. Calculate paths to (4,4) considering obstacles dynamically and using memoization. Discuss the efficiencies and pitfalls of each method.
💡 Hint: Document steps as you fill in the grid, then analyze results.
Create a real-life application for pathfinding similar to this grid setup. How would obstacles affect routing?
💡 Hint: Think algorithms used in GPS applications or logistics.
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