Book Image

Hands-On Data Structures and Algorithms with Python - Third Edition

By : Dr. Basant Agarwal
Book Image

Hands-On Data Structures and Algorithms with Python - Third Edition

By: Dr. Basant Agarwal

Overview of this book

Choosing the right data structure is pivotal to optimizing the performance and scalability of applications. This new edition of Hands-On Data Structures and Algorithms with Python will expand your understanding of key structures, including stacks, queues, and lists, and also show you how to apply priority queues and heaps in applications. You’ll learn how to analyze and compare Python algorithms, and understand which algorithms should be used for a problem based on running time and computational complexity. You will also become confident organizing your code in a manageable, consistent, and scalable way, which will boost your productivity as a Python developer. By the end of this Python book, you’ll be able to manipulate the most important data structures and algorithms to more efficiently store, organize, and access data in your applications.
Table of Contents (17 chapters)
14
Other Books You May Enjoy
15
Index

Chapter 3: Algorithm Design Techniques and Strategies

Question 1

Which of the following options will be correct when a top-down approach of dynamic programming is applied to solve a given problem related to the space and time complexity?

  1. It will increase both time and space complexity
  2. It will increase the time complexity, and decrease the space complexity
  3. It will increase the space complexity, and decrease the time complexity
  4. It will decrease both time and space complexities

Solution

Option c is correct.

Since the top-down approach of dynamic programming uses the memoization technique, which stores the pre-calculated solution of a subproblem. It avoids recalculation of the same subproblem that decreases the time complexity, but at the same time, the space complexity will increase because of storing the extra solutions of the subproblems.

Question 2

What will be the sequence of nodes in the following edge-weighted directed graph...