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Introduction to Number Theory
Euclidean Algorithm, Linear Representation of GCD In this lecture, you will be introduced to the basic concepts and statements required to study number theory. These include divisibility, primes, Euclidean algorithm, linear representation of the greatest…
Number Theory and Cryptography
Modular Arithmetic In this week we will discuss integer numbers and standard operations on them: addition, subtraction, multiplication and division. The latter operation is the most interesting one and creates a complicated structure on integer…
Competitive Programming for Beginners
Basic Algorithms In this first module of our course we will: talk about how to measure efficiency of the developed algorithm; learn what is asymptotics; learn how to implement some simplest algorithms. Number Theory In…