Sarthak Sahu c9d298fec6
feat: add fibonacci_sum.cpp (#1343)
* Johnson's Algorithm added

* Update Johnson's algorithm.cpp

@Panquesito7 plzz review

* Update Johnson's algorithm.cpp

* remove johnson'algo

* add fibo_sum.cpp

* updating DIRECTORY.md

* Update math/fibonacci_sum.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: David Leal <halfpacho@gmail.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* Update math/fibonacci_sum.cpp

Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>

* clang-format and clang-tidy fixes for a054b759

Co-authored-by: SarthakSahu1009 <sarthaksashu1009@gmail.com>
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: David Leal <halfpacho@gmail.com>
Co-authored-by: Krishna Vedala <7001608+kvedala@users.noreply.github.com>
2020-10-30 23:23:02 +05:30
..
2020-06-22 16:21:57 -04:00
2020-10-27 01:09:08 +05:30
2020-10-27 06:33:29 +05:30
2020-06-23 15:13:28 -05:00

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