2.1.4 - Handling Holes
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the number of paths to point (1,0) from (0,0)?
💡 Hint: Think of how you can only move from (0,0) to (1,0) directly.
If a hole is placed at point (2,2), how many paths can go through it?
💡 Hint: Consider what happens when a point is obstructed.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the base case for paths(0,0)?
💡 Hint: Consider what it means to be at the origin without moving.
Can paths go through holes?
💡 Hint: Think about what a hole represents in terms of pathfinding.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Design a 5x5 grid with two holes and calculate the number of unique paths from (0,0) to (4,4). Provide a step-by-step explanation.
💡 Hint: Map out the valid paths while taking into consideration each hole's impact.
Explain how the choice between using memoization versus dynamic programming can affect the performance of computing paths on a grid with multiple obstacles.
💡 Hint: Reflect on memory usage versus time efficiency.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.