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TheAlgorithms-C-Plus-Plus/math
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Ashish Bhanu Daulatabad 73ff948b0d
feat: Solving linear recurrence using Matrix Exponentiation (with examples). (#1463) 
* updating DIRECTORY.md

* feat: Solving Linear Recurrence using Matrix Exponentiation

* updating DIRECTORY.md

* clang-format and clang-tidy fixes for 83efb534

* Directory.md

* updating DIRECTORY.md

* Comment Modification

* Comments

* Missing namespace

* Missing namespace

* Type checking

* reduced mod size due to integer overflow, changed int32 to int64

* Adding template parameters and missing markdowns.

* Markdown and minor code changes

* Minor changes

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
2021-03-17 23:57:51 +05:30
..
armstrong_number.cpp
formatting source-code for ca70c3097e51f7a3845cabf3a140d3a1fb2f3cb3
2020-06-25 09:51:24 +00:00
binary_exponent.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
binomial_calculate.cpp
feat: add program to calculate binomial coefficients (#1448)
2021-02-23 00:51:58 +05:30
check_amicable_pair.cpp
formatting source-code for 1d7a73ea583c27eaa39ed90793db698e6997b6a7
2020-06-23 19:34:19 +00:00
check_factorial.cpp
feat: added check_factorial (#1155)
2020-10-05 08:52:27 -04:00
check_prime.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
CMakeLists.txt
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
complex_numbers.cpp
formatting source-code for 247301c5b5f1c61c015fd2f852832651dc443c2e
2020-07-02 12:48:35 +00:00
double_factorial.cpp
formatting source-code for e1b1c71e7cca268c9fbad41d2d6b315ff63b9756
2020-06-25 18:41:27 +00:00
eulers_totient_function.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
extended_euclid_algorithm.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
factorial.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
fast_power.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
fibonacci_fast.cpp
formatting source-code for c7ff9d66f1e7c18b43e51d183f1299b25293ac55
2020-06-24 17:14:57 +00:00
fibonacci_large.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
fibonacci_matrix_exponentiation.cpp
Nth fibonacci number using matrix exponentiation (#1215)
2021-02-05 15:12:13 +05:30
fibonacci_sum.cpp
feat: Add ncr mod p code (#1325)
2020-11-22 23:05:01 +05:30
fibonacci.cpp
fix: math/fibonacci linter warnings. (#1047)
2020-08-25 18:56:49 -05:00
gcd_iterative_euclidean.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
gcd_of_n_numbers.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
gcd_recursive_euclidean.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
large_factorial.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
large_number.h
make multiplication 64-bit
2020-06-22 16:21:57 -04:00
largest_power.cpp
feat: largest_power (#1406)
2020-11-25 04:18:50 -05:00
lcm_sum.cpp
feat: Add ncr mod p code (#1325)
2020-11-22 23:05:01 +05:30
least_common_multiple.cpp
fix: Integer overflow of least_common_multiple. (#970)
2020-07-22 08:01:06 -04:00
linear_recurrence_matrix.cpp
feat: Solving linear recurrence using Matrix Exponentiation (with examples). (#1463)
2021-03-17 23:57:51 +05:30
magic_number.cpp
Update math/magic_number.cpp
2020-10-27 06:33:29 +05:30
miller_rabin.cpp
formatting source-code for a48d05fb6223cedde57fa487fb79ee51651d5985
2020-06-21 17:42:09 +00:00
modular_division.cpp
clang-format and clang-tidy fixes for 7293e15a
2021-01-18 10:45:57 +00:00
modular_exponentiation.cpp
feat: Add modular_exponentiation.cpp (#1276)
2020-10-30 01:52:32 +05:30
modular_inverse_fermat_little_theorem.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
n_choose_r.cpp
feat: Add ncr mod p code (#1325)
2020-11-22 23:05:01 +05:30
ncr_modulo_p.cpp
feat: Add ncr mod p code (#1325)
2020-11-22 23:05:01 +05:30
number_of_positive_divisors.cpp
fix, test: simplification and tests for number_of_positive_divisors (#975)
2020-07-24 22:59:49 -04:00
power_for_huge_numbers.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
power_of_two.cpp
Create power_of_two.cpp (#1315)
2021-02-12 10:14:01 +05:30
prime_factorization.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
prime_numbers.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
primes_up_to_billion.cpp
fix: integer overflow due to multiplication fixed (#886)
2020-06-23 23:50:45 +05:30
README.md
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
realtime_stats.cpp
fix: Various LGTM fixes
2020-06-23 15:13:28 -05:00
sieve_of_eratosthenes.cpp
fix, test: Refactor of sieve_of_eratosthenes (#969)
2020-07-23 07:50:38 -04:00
sqrt_double.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
string_fibonacci.cpp
Major rework to improve code quality and add automation checks (#805)
2020-06-19 21:34:56 +05:30
sum_of_binomial_coefficient.cpp
feat: Add ncr mod p code (#1325)
2020-11-22 23:05:01 +05:30
sum_of_digits.cpp
formatting source-code for 9bc80876e81aeb73c9490417f19cc1d91e60e0d1
2020-06-22 12:05:13 +00:00
vector_cross_product.cpp
cross product of two vectors (#1292)
2021-02-05 15:13:45 +05:30

README.md

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