#### Overview of this book

Begin your journey into the fascinating world of algorithms with this comprehensive course. Starting with an introduction to the basics, you will learn about pseudocode and flowcharts, the fundamental tools for representing algorithms. As you progress, you'll delve into the efficiency of algorithms, understanding how to evaluate and optimize them for better performance. The course will also cover various basic algorithm types, providing a solid foundation for further exploration. You will explore specific categories of algorithms, including search and sort algorithms, which are crucial for managing and retrieving data efficiently. You will also learn about graph algorithms, which are essential for solving problems related to networks and relationships. Additionally, the course will introduce you to the data structures commonly used in algorithms. Towards the end, the focus shifts to algorithm design techniques and their real-world applications. You will discover various strategies for creating efficient and effective algorithms and see how these techniques are applied in real-world scenarios. By the end of the course, you will have a thorough understanding of algorithmic principles and be equipped with the skills to apply them in your technical career.
Free Chapter
Chapter 1: Introduction to Algorithms
Chapter 2: Pseudocode and Flowcharts
Chapter 3: Algorithm Efficiency
Chapter 4: Basic Algorithm Types
Chapter 5: Search Algorithms
Chapter 6: Sort Algorithms
Chapter 7: Graph Algorithms
Chapter 8: Data Structures Used in Algorithms
Chapter 9: Algorithm Design Techniques
Chapter 10: Real World Applications of Algorithms
Conclusion
Where to continue?

# 4.5 Practice Problems

## Problem 1: Binary Search (Divide and Conquer)

Given a sorted list of n integers and a target integer x, write a function that finds the position of x in the list using a binary search algorithm. Remember, binary search operates by effectively dividing the problem in half with each step.

Solution:

## Problem 2: Coin Change (Greedy Algorithm)

Given a list of denominations of coins and a value n, write a function that calculates the minimum number of coins needed to make change for n. Use a greedy algorithm that always selects the largest denomination less than or equal to the remaining amount to be changed out. Test your function with various coin sets, like the standard US or Euro denominations.

Solution:

## Problem 3: Fibonacci Series (Dynamic Programming)

Write a function to calculate the nth Fibonacci number. The Fibonacci series is defined as: F(0) = 0, F(1) = 1, and F(n) = F(n-1) + F(n-2) for n > 1. First, implement this using simple recursion, then...