Practice Algorithms by Sanjay Dasgupta, Christos Papadimitriou, and Umesh Vazirani - 1.8.2 | 1. Welcome to the NPTEL MOOC on Design and Analysis of Algorithms | Design & Analysis of Algorithms - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

1.8.2 - Algorithms by Sanjay Dasgupta, Christos Papadimitriou, and Umesh Vazirani

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 related to the topic.

Question 1

Easy

What does it mean for an algorithm to be correct?

💡 Hint: Think about the outputs given different valid inputs.

Question 2

Easy

Explain Big O notation in your own words.

💡 Hint: Consider how algorithm efficiency is expressed mathematically.

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

What is the main goal of algorithm correctness?

  • To ensure efficiency
  • To ensure the algorithm works as expected
  • To reduce memory usage

💡 Hint: Consider what makes an algorithm reliable.

Question 2

True or False: Asymptotic complexity measures the efficiency of an algorithm based on how the running time changes with input size.

  • True
  • False

💡 Hint: Think about the relevance of input size in algorithm analysis.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create an algorithm to sort a list using the divide and conquer method. Document each step you will take.

💡 Hint: Consider how the list is divided and then the methods of combining them.

Question 2

Evaluate a problem where a greedy approach seems attractive but leads to error. Explain the shortcomings of this approach.

💡 Hint: Reflect on scenarios where early choices limit future options.

Challenge and get performance evaluation