Practice Column by Column Computation - 2.2.4 | 2. Inductive Formulation of the Grid Path | Design & Analysis of Algorithms - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Column by Column Computation

2.2.4 - Column by Column Computation

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many paths exist from (0,0) to (1,1) in a grid with no obstacles?

💡 Hint: Consider the two possible movements: right then up, or up then right.

Question 2 Easy

What is the number of paths from (0,0) to (0,0)?

💡 Hint: Think about staying in the same spot.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many ways can you reach (0,0) from (0,0)?

1
0
More than 1

💡 Hint: Think about the simplest path.

Question 2

Dynamic programming guarantees fewer calls than memoization.

True
False

💡 Hint: Reflect on the efficiencies of direct vs recursive strategies.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

How would you compute paths in a grid of size 100x100 with random holes placed throughout?

💡 Hint: Think about the memory storage needed for computations.

Challenge 2 Hard

Propose a new method to slim down the computations further in this grid-path scenario.

💡 Hint: Integrate heuristic searches that rely on grid layout.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.