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* Add program to calculate binomial coefficients * docs: add link to github profile, change cmath to cstdlib * correction of comments, adding math namespace * updating DIRECTORY.md * Adding binomial namespace, rename function and filename, correcting comments * updating DIRECTORY.md Co-authored-by: astronmax <astronmax@yandex.ru> Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Prime factorization
Prime Factorization is a very important and useful technique to factorize any number into its prime factors. It has various applications in the field of number theory.
The method of prime factorization involves two function calls. First: Calculating all the prime number up till a certain range using the standard Sieve of Eratosthenes.
Second: Using the prime numbers to reduce the the given number and thus find all its prime factors.
The complexity of the solution involves approx. O(n logn) in calculating sieve of eratosthenes O(log n) in calculating the prime factors of the number. So in total approx. O(n logn).
Requirements: For compile you need the compiler flag for C++ 11