Practice - Counting Total Grid Paths
Practice Questions
Test your understanding with targeted questions
How many total moves are needed to get from (0, 0) to (3, 4)?
💡 Hint: Add the right and up movements together.
What is the combination formula to determine how many paths exist for N right and M up moves?
💡 Hint: Think about how to arrange the moves.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the total number of paths from (0, 0) to (5, 10)?
💡 Hint: Think of the total moves required.
True or False: Paths can only be counted if there are no blocked intersections in a grid.
💡 Hint: Consider what adjustments would be required.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
In a grid of size 6x6, with blocked intersections at (2, 2), (3, 3), and (4, 4), devise a formula or method to calculate valid paths from (0, 0) to (5, 5).
💡 Hint: Break down into smaller sections and combine their counts.
Given a large grid with multiple obstacles randomly placed, form a plan using dynamic programming to efficiently compute path counts. Discuss how this minimizes computation time.
💡 Hint: Consider how obstacles influence path availability when filling the DP table.
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Reference links
Supplementary resources to enhance your learning experience.