Practice Boundary Conditions - 2.1.2 | 2. Inductive Formulation of the Grid Path | Design & Analysis of Algorithms - Vol 3
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Boundary Conditions

2.1.2 - Boundary Conditions

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the total path count to reach the point (2, 2) in a grid without any holes?

💡 Hint: Consider the unique routes without obstruction.

Question 2 Easy

How many paths are possible to (0,0)?

💡 Hint: Think about moving or not moving.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many paths lead to the point (3,3) in a grid from (0,0) with no obstructions?

4
6
8

💡 Hint: Think about how many ways you can arrange moving right and up.

Question 2

True or False: Dynamic programming only solves each problem once.

True
False

💡 Hint: Reflect on how it builds solutions from the ground up.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a 4x4 grid with holes at (2,1) and (3,3), calculate the unique paths from (0,0) to (3,3).

💡 Hint: Map out each possible movement and count how many actually reach (3,3).

Challenge 2 Hard

Create a dynamic programming solution to count paths in a grid with multiple holes, detailing algorithm steps.

💡 Hint: Think about how each hole affects adjacent path calculations.

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