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Test your understanding with targeted questions related to the topic.
Question 1
Easy
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.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the base case for paths(0,0)?
💡 Hint: Consider what it means to be at the origin without moving.
Question 2
Can paths go through holes?
💡 Hint: Think about what a hole represents in terms of pathfinding.
Solve 2 more questions and get performance evaluation
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation