File List

Here is a list of all documented files with brief descriptions:

[detail level 123]

► backtracking
graph_coloring.cpp	Prints the assigned colors using Graph Coloring algorithm
knight_tour.cpp	Knight's tour algorithm
minimax.cpp	Returns which is the longest/shortest number using minimax algorithm
n_queens.cpp	Eight Queens puzzle
n_queens_all_solution_optimised.cpp	N queens all optimized
nqueen_print_all_solutions.cpp	Eight Queens puzzle, printing all solutions
rat_maze.cpp	Implements <a href="https://www.codesdope.com/blog/article/backtracking-to- solve-a-rat-in-a-maze-c-java-pytho/"
sudoku_solve.cpp	Sudoku Solver algorithm
► bit_manipulation
hamming_distance.cpp	Returns the Hamming distance between two integers
► ciphers
caesar_cipher.cpp	Implementation of Caesar cipher algorithm
hill_cipher.cpp	Implementation of Hill cipher algorithm
morse_code.cpp	Implementation of Morse Code
vigenere_cipher.cpp	Implementation of Vigenère cipher algorithm
xor_cipher.cpp	Implementation of XOR cipher algorithm
► data_structures
► cll
cll.h
avltree.cpp	A simple tree implementation using nodes
binary_search_tree.cpp	A simple tree implementation using structured nodes
binary_search_tree2.cpp	A generic binary search tree implementation
binaryheap.cpp	A C++ program to demonstrate common Binary Heap Operations
disjoint_set.cpp	Disjoint Sets Data Structure (Disjoint Sets)
linked_list.cpp	Implementation of singly linked list algorithm
linkedlist_implentation_usingarray.cpp	Linked list implementation using Arrays
list_array.cpp	Dynamic Array
queue.h
queue_using_array.cpp	Implementation of Linear Queue using array
queue_using_two_stacks.cpp
skip_list.cpp	Data structure for fast searching and insertion in \(O(\log n)\) time
stack.h	This class specifies the basic operation on a stack as a linked list
tree_234.cpp	A demo 2-3-4 tree implementation
trie_modern.cpp	A basic implementation of trie class to store only lower-case strings
trie_tree.cpp	Implementation of Trie data structure for English alphabets in small characters
► dynamic_programming
0_1_knapsack.cpp	Implementation of 0-1 Knapsack Problem
coin_change_topdown.cpp	Minimum coins change problem is a problem used to find the minimum number of coins required to completely reach a target amount
cut_rod.cpp	Implementation of cutting a rod problem
kadane2.cpp	Implementation of Kadane Algorithm
longest_palindromic_subsequence.cpp	Program to find the Longest Palindormic Subsequence of a string
palindrome_partitioning.cpp	Implements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make
shortest_common_supersequence.cpp	SCS is a string Z which is the shortest supersequence of strings X and Y (may not be continuous in Z, but order is maintained)
word_break.cpp	Word Break Problem
► geometry
jarvis_algorithm.cpp	Implementation of Jarvis’s algorithm
line_segment_intersection.cpp	Check whether two line segments intersect each other or not
► graph
bidirectional_dijkstra.cpp	Bidirectional Dijkstra Shortest Path Algorithm
breadth_first_search.cpp	Breadth First Search Algorithm (Breadth First Search)
connected_components.cpp	<a href="https://en.wikipedia.org/wiki/Component_(graph_theory)"
connected_components_with_dsu.cpp	Disjoint union
depth_first_search.cpp	Depth First Search Algorithm (Depth First Search)
depth_first_search_with_stack.cpp	Depth First Search Algorithm using Stack (Depth First Search Algorithm)
dijkstra.cpp	<a href="https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm"
hamiltons_cycle.cpp	The implementation of Hamilton's cycle dynamic solution for vertices number less than 20
hopcroft_karp.cpp	Implementation of Hopcroft–Karp algorithm
is_graph_bipartite.cpp	Algorithm to check whether a graph is bipartite
lowest_common_ancestor.cpp	Data structure for finding the lowest common ancestor of two vertices in a rooted tree using binary lifting
► graphics
spirograph.cpp	Implementation of Spirograph
► greedy_algorithms
jumpgame.cpp	Implementation of an algorithm to solve the jumping game problem
► hashing
chaining.cpp	Implementation of hash chains
double_hash_hash_table.cpp	Storage mechanism using double-hashed keys
linear_probing_hash_table.cpp	Storage mechanism using linear probing hash keys
quadratic_probing_hash_table.cpp	Storage mechanism using quadratic probing hash keys
► linear_algebra
gram_schmidt.cpp	Gram Schmidt Orthogonalisation Process
► machine_learning
adaline_learning.cpp	Adaptive Linear Neuron (ADALINE) implementation
kohonen_som_topology.cpp	Kohonen self organizing map (topological map)
kohonen_som_trace.cpp	Kohonen self organizing map (data tracing)
neural_network.cpp	Implementation of Multilayer Perceptron
ordinary_least_squares_regressor.cpp	Linear regression example using Ordinary least squares
vector_ops.hpp	Various functions for vectors associated with <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron"
► math
armstrong_number.cpp	Program to check if a number is an Armstrong/Narcissistic number in decimal system
binary_exponent.cpp	C++ Program to find Binary Exponent Iteratively and Recursively
binomial_calculate.cpp	Program to calculate Binomial coefficients
check_amicable_pair.cpp	A C++ Program to check whether a pair of number is amicable pair or not
check_factorial.cpp	A simple program to check if the given number is a factorial of some number or not
check_prime.cpp	Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime
complex_numbers.cpp	An implementation of Complex Number as Objects
double_factorial.cpp	Compute double factorial: \(n!!\)
eulers_totient_function.cpp	C++ Program to find Euler's Totient function
extended_euclid_algorithm.cpp	GCD using extended Euclid's algorithm
factorial.cpp	C++ program to find factorial of given number
fast_power.cpp	Faster computation for \(a^b\)
fibonacci.cpp	Generate fibonacci sequence
fibonacci_fast.cpp	Faster computation of Fibonacci series
fibonacci_large.cpp	Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations
fibonacci_matrix_exponentiation.cpp	This program computes the N^th Fibonacci number in modulo mod input argument
fibonacci_sum.cpp	An algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\)
gcd_iterative_euclidean.cpp	Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm
gcd_of_n_numbers.cpp	This program aims at calculating the GCD of n numbers by division method
gcd_recursive_euclidean.cpp	Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm
large_factorial.cpp	Compute factorial of any arbitratily large number/
large_number.h	Library to perform arithmatic operations on arbitrarily large numbers
largest_power.cpp	Algorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula
lcm_sum.cpp	An algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\)
least_common_multiple.cpp
magic_number.cpp	A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number
miller_rabin.cpp
modular_division.cpp	An algorithm to divide two numbers under modulo p Modular Division
modular_exponentiation.cpp	C++ Program for Modular Exponentiation Iteratively
modular_inverse_fermat_little_theorem.cpp	C++ Program to find the modular inverse using Fermat's Little Theorem
n_choose_r.cpp	Combinations n choose r function implementation
ncr_modulo_p.cpp	This program aims at calculating nCr modulo p
number_of_positive_divisors.cpp	C++ Program to calculate the number of positive divisors
power_for_huge_numbers.cpp	Compute powers of large numbers
power_of_two.cpp	Implementation to check whether a number is a power of 2 or not
prime_factorization.cpp	Prime factorization of positive integers
prime_numbers.cpp	Get list of prime numbers
primes_up_to_billion.cpp	Compute prime numbers upto 1 billion
realtime_stats.cpp	Compute statistics for data entered in rreal-time
sieve_of_eratosthenes.cpp	Get list of prime numbers using Sieve of Eratosthenes
sqrt_double.cpp	Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding
string_fibonacci.cpp	This Programme returns the Nth fibonacci as a string
sum_of_binomial_coefficient.cpp	Algorithm to find sum of binomial coefficients of a given positive integer
sum_of_digits.cpp	A C++ Program to find the Sum of Digits of input integer
vector_cross_product.cpp	Calculates the Cross Product and the magnitude of two mathematical 3D vectors
► numerical_methods
bisection_method.cpp	Solve the equation \(f(x)=0\) using bisection method
brent_method_extrema.cpp	Find real extrema of a univariate real function in a given interval using Brent's method
durand_kerner_roots.cpp	Compute all possible approximate roots of any given polynomial using Durand Kerner algorithm
false_position.cpp	Solve the equation \(f(x)=0\) using false position method, also known as the Secant method
gaussian_elimination.cpp	Gaussian elimination method
golden_search_extrema.cpp	Find extrema of a univariate real function in a given interval using golden section search algorithm
lu_decompose.cpp	LU decomposition of a square matrix
lu_decomposition.h	Functions associated with LU Decomposition of a square matrix
newton_raphson_method.cpp	Solve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions
ode_forward_euler.cpp	Solve a multivariable first order ordinary differential equation (ODEs) using forward Euler method
ode_midpoint_euler.cpp	Solve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method
ode_semi_implicit_euler.cpp	Solve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method
qr_decompose.h	Library functions to compute QR decomposition of a given matrix
qr_decomposition.cpp	Program to compute the QR decomposition of a given matrix
qr_eigen_values.cpp	Compute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method
rungekutta.cpp	Runge Kutta fourth order method implementation
successive_approximation.cpp	Method of successive approximations using fixed-point iteration method
► operations_on_datastructures
trie_multiple_search.cpp	Trie datastructure with search variants
► others
buzz_number.cpp	A buzz number is a number that is either divisible by 7 or has last digit as 7
decimal_to_binary.cpp	Function to convert decimal number to binary representation
decimal_to_hexadecimal.cpp	Convert decimal number to hexadecimal representation
decimal_to_roman_numeral.cpp	This Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral
fast_integer_input.cpp	Read integers from stdin continuously as they are entered without waiting for the \n character
happy_number.cpp	A happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1
matrix_exponentiation.cpp	Matrix Exponentiation
palindrome_of_number.cpp	Check if a number is palindrome or not
paranthesis_matching.cpp	Perform paranthesis matching
pascal_triangle.cpp	Pascal's triangle implementation
postfix_evaluation.cpp	Evaluation of Postfix Expression
primality_test.cpp	Primality test implementation
smallest_circle.cpp	Get centre and radius of the smallest circle that circumscribes given set of points
sparse_matrix.cpp
spiral_print.cpp	Print the elements of a matrix traversing it spirally
stairs_pattern.cpp	This program is use to print the following pattern
tower_of_hanoi.cpp	Solve the Tower of Hanoi problem
vector_important_functions.cpp	A C++ program to demonstrate working of std::sort(), std::reverse()
► probability
addition_rule.cpp	Addition rule of probabilities
bayes_theorem.cpp	Bayes' theorem
binomial_dist.cpp	Binomial distribution example
poisson_dist.cpp	Poisson statistics
► range_queries
fenwick_tree.cpp	Fenwick tree
heavy_light_decomposition.cpp	Heavy Light Decomposition implementation
persistent_seg_tree_lazy_prop.cpp	Persistent segment tree with range updates (lazy propagation)
sparse_table.cpp	Implementation of Sparse Table data structure
► search
binary_search.cpp	Binary search algorithm
exponential_search.cpp	Exponential search algorithm
fibonacci_search.cpp	Fibonacci search algorithm
hash_search.cpp	Hash Search Algorithm - Best Time Complexity Ω(1)
interpolation_search.cpp	Interpolation search algorithm
interpolation_search2.cpp	Interpolation search algorithm
jump_search.cpp	C++ program to implement Jump Search
linear_search.cpp	Linear search algorithm
median_search.cpp	Implementation of Median search algorithm. @cases from here
saddleback_search.cpp	Implementation of Saddleback Algorithm for 2D arrays
ternary_search.cpp	Ternary search algorithm
text_search.cpp	Search for words in a long textual paragraph
► sorting
bogo_sort.cpp	Implementation of Bogosort algorithm
bubble_sort.cpp	Bubble sort algorithm
comb_sort.cpp	Comb Sort Algorithm (Comb Sort)
count_inversions.cpp	Counting Inversions using Merge Sort
cycle_sort.cpp	Implementation of Cycle sort algorithm
gnome_sort.cpp	Implementation of gnome sort algorithm
heap_sort.cpp	Heap Sort Algorithm (heap sort) implementation
insertion_sort.cpp	Insertion Sort Algorithm (Insertion Sort)
merge_insertion_sort.cpp	Algorithm that combines insertion sort and merge sort. Wiki link
merge_sort.cpp	Merege Sort Algorithm (MEREGE SORT) implementation
non_recursive_merge_sort.cpp
pancake_sort.cpp	Pancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips
pigeonhole_sort.cpp	Implementation of Pigeonhole Sort algorithm
quick_sort.cpp	Quick sort algorithm
quick_sort_3.cpp	Implementation Details
radix_sort2.cpp	Algorithm of Radix sort
shell_sort2.cpp	Shell sort algorithm
strand_sort.cpp	Implementation of Strand Sort algorithm
wiggle_sort.cpp	Wiggle Sort Algorithm Implementation
► strings
brute_force_string_searching.cpp	String pattern search - brute force
horspool.cpp	Horspool's algorithm that finds if a string contains a substring (https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm)
knuth_morris_pratt.cpp	The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m)
rabin_karp.cpp	The Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m)