What is Modular Arithmetic?
Modular arithmetic is a branch of arithmetic mathematics related to the “mod” functionality. It is a system of arithmetic for integers, where numbers “wrap around” upon reaching a certain value, known as the modulus. In its most elementary form, it is arithmetic done with a count that resets itself to zero every time a certain whole number N greater than one, known as the modulus (mod), has been reached.
Modular Arithmetic for Competitive Programming
In mathematics, modular arithmetic refers to the arithmetic of integers that wraps around when a certain value is reached, called the modulus. This becomes particularly crucial when handling large numbers in competitive programming. This article “Modular Arithmetic for Competitive Programming” will explore modular arithmetic, its operations, the underlying concepts, and practical applications. By understanding and implementing modular arithmetic, programmers can effectively manage and manipulate large integers, enhancing their skills in competitive programming.
Table of Content
- What is Modular Arithmetic?
- Modular Arithmetic Operations
- Idea behind Modular Arithmetic
- Implementation of Modular Arithmetic
- Use Cases of Modular arithmetic in Competitive Programming
- Practice Problems on Modular Arithmetic for CP