Gain insights into connecting discrete mathematics with programming. Explore variables, expressions, data structures, and algorithm design to enhance your problem-solving and implementation skills.

Discrete Mathematical Algorithms and Data Structures-02-02.png

momoexp4.tar.gz

java and C++

OnlyPython

OnlyJava

OnlyCplusplus

OnlyC

JavaLang3

Discrete mathematics is the basis of several popular algorithms. This course shows the discreteness of data structures and algorithms. It can benefit programmers with a non-CS background looking to strengthen their foundations by connecting theoretical concepts with practical programming scenarios.

The course starts with discussing relating discrete mathematics with algorithms and data structures. You will have examples demonstrating variables, conditional expressions, and arrays as basic building blocks of programming. Then, you will use classes and objects to define and implement linear data structures. You will also learn about the binary tree traversals and templates and the topics of time complexity, set difference, and rearranging the values in a string.

By the end of the course, you will have a strong grasp of algorithm design, data structure implementation, and overall problem-solving.

Programming Discrete Math Concepts for Beginners

# Swap counter in the sorting technique

This simplest and easiest sorting technique is used far and wide in computer science. It relies on comparisons of adjacent values and ultimately sorts the complete array.

Let's take `(1,2,3)` as the array to be sorted in descending order. Here is a series of steps to implement:

1. `(1,2,3)` → `(2,1,3)`
2. `(2,1,3)` → `(2,3,1)`
3.  `(2,3,1)` → `(3,2,1)`

Write Java code to return the minimum number of swaps required for this sorting method.

For example, if `{7, 7, 5, 0, 1}` is the input array to be sorted, your code should return the following output:
```java
1
```
The result of `1` indicates that only one swap was needed to sort the array: `{7, 7, 5, 1, 0}`.

>**Note**: Don’t worry if you need help. You can see the solution by pressing the "Show Solution" button.

Complete the swapping and sorting an array challenge.

Course Introduction

Programming Language and Boolean Algebra

Logical Expressions and Algorithms

Arrays and Discrete Mathematics

Classes, Objects, and Methods

Linear Data Structures

Tree, Algorithms, and Templates

Time Complexity

Propositional Logic

Combinatorics

Wrapping Up

Challenge: Swap and Sort

Swap counter in the sorting technique