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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
How do you calculate paths to (2, 1)?
💡 Hint: Consider the potential paths from left and below.
Question 2
Easy
What happens at the leftmost column?
💡 Hint: Think about the available directions at boundaries.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula to calculate Paths(i,j)?
- Paths(i-1,j) - Paths(i,j-1)
- Paths(i-1,j) + Paths(i,j-1)
- Paths(i,j-1) * Paths(i,j-2)
💡 Hint: Think about only possible movements on the grid.
Question 2
True or False: A hole on a grid contributes to the total path count.
- True
- False
💡 Hint: Reflect on how obstacles affect pathways.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate how many paths could exist for a grid of size 5x5 with holes at (2,2) and (3,3). Show your calculations.
💡 Hint: Ensure that whenever a hole is reached, all paths leading into it are declared zero.
Question 2
If a grid has a series of holes along one row, analyze how that impacts total path calculations if starting from a top-left corner to bottom-right corner.
💡 Hint: Evaluate critical paths that must navigate around those holes!
Challenge and get performance evaluation