2.1 - Inductive Formulation of the Grid Path
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Practice Questions
Test your understanding with targeted questions
How do you calculate paths to (2, 1)?
💡 Hint: Consider the potential paths from left and below.
What happens at the leftmost column?
💡 Hint: Think about the available directions at boundaries.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to calculate Paths(i,j)?
💡 Hint: Think about only possible movements on the grid.
True or False: A hole on a grid contributes to the total path count.
💡 Hint: Reflect on how obstacles affect pathways.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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!
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