Practice Counting Paths without Blocks - 1.2 | 1. Grid Paths | Design & Analysis of Algorithms - Vol 3
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1.2 - Counting Paths without Blocks

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

How many total moves do you need to reach (3,4)?

💡 Hint: Add up the right and up moves.

Question 2

Easy

What is the binomial coefficient for (5,3)?

💡 Hint: Count total moves needed.

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

How many distinct paths from (0,0) to (5,10)?

  • 100
  • 3003
  • 5000

💡 Hint: Think about how many total moves you need.

Question 2

True or False: A blocked intersection increases the number of valid paths.

  • True
  • False

💡 Hint: Consider how blocked paths affect counts.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

How many paths are there from (0,0) to (6,4) with blocked points at (2,2) and (4,3)?

💡 Hint: Break this down into segments, computing each segment's paths separately.

Question 2

Describe a complex grid scenario involving three blocked points and outline the process to compute valid paths.

💡 Hint: Use clear steps for each block, ensuring you count each way to navigate between them.

Challenge and get performance evaluation