Practice - Handling Blocked Intersections
Practice Questions
Test your understanding with targeted questions
How many paths are there from (0, 0) to (2, 2) in a grid without any blocks?
💡 Hint: Think of choosing directions, 2 rights and 2 ups.
List two movements allowed on the grid.
💡 Hint: Consider the directions you can take.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
How many total paths exist from (0, 0) to (5, 10) without any blocked intersections?
💡 Hint: Recall the combination of movements needed.
True or False: A path that passes through a blocked intersection is considered valid.
💡 Hint: Consider what a blocked path implies.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
In a grid from (0, 0) to (5, 5), with blocked paths at (2, 2) and (4, 4), calculate all valid paths without overlapping consideration.
💡 Hint: Make sure to count paths to and from each blocked point carefully.
Given a larger 10 x 10 grid with obstacles blocking various intersections in a sparse manner, outline an efficient algorithm using dynamic programming that tracks valid paths avoiding each block.
💡 Hint: Focus on building up the table row by row, accounting for blocked points.
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Reference links
Supplementary resources to enhance your learning experience.