Implementation of Hopcroft–Karp algorithm.
The Hopcroft–Karp algorithm is an algorithm that takes as input a bipartite graph and produces as output a maximum cardinality matching, it runs in O(E√V) time in worst case.
-
+
Bipartite graph
A bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V. Vertex sets U and V are usually called the parts of the graph. Equivalently, a bipartite graph is a graph that does not contain any odd-length cycles.
-
+
Matching and Not-Matching edges
Given a matching M, edges that are part of matching are called Matching edges and edges that are not part of M (or connect free nodes) are called Not-Matching edges.
-
+
Maximum cardinality matching
Given a bipartite graphs G = ( V = ( X , Y ) , E ) whose partition has the parts X and Y, with E denoting the edges of the graph, the goal is to find a matching with as many edges as possible. Equivalently, a matching that covers as many vertices as possible.
-
+
Augmenting paths
Given a matching M, an augmenting path is an alternating path that starts from and ends on free vertices. All single edge paths that start and end with free vertices are augmenting paths.
-
+
Concept
A matching M is not maximum if there exists an augmenting path. It is also true other way, i.e, a matching is maximum if no augmenting path exists.
-
+
Algorithm
1) Initialize the Maximal Matching M as empty. 2) While there exists an Augmenting Path P Remove matching edges of P from M and add not-matching edges of P to M (This increases size of M by 1 as P starts and ends with a free vertex i.e. a node that is not part of matching.) 3) Return M.
diff --git a/d1/ded/windowed__median_8cpp.html b/d1/ded/windowed__median_8cpp.html index fb8dcc4ea..b16cf9a84 100644 --- a/d1/ded/windowed__median_8cpp.html +++ b/d1/ded/windowed__median_8cpp.html @@ -150,7 +150,7 @@ FunctionsDetailed Description
An implementation of a median calculation of a sliding window along a data stream.
Given a stream of integers, the algorithm calculates the median of a fixed size window at the back of the stream. The leading time complexity of this algorithm is O(log(N), and it is inspired by the known algorithm to [find median from (infinite) data stream](https://www.tutorialcup.com/interview/algorithm/find-median-from-data-stream.htm), with the proper modifications to account for the finite window size for which the median is requested
-
+
Algorithm
The sliding window is managed by a list, which guarantees O(1) for both pushing and popping. Each new value is pushed to the window back, while a value from the front of the window is popped. In addition, the algorithm manages a multi-value binary search tree (BST), implemented by std::multiset. For each new value that is inserted into the window, it is also inserted to the BST. When a value is popped from the window, it is also erased from the BST. Both insertion and erasion to/from the BST are O(logN) in time, with N the size of the window. Finally, the algorithm keeps a pointer to the root of the BST, and updates its position whenever values are inserted or erased to/from BST. The root of the tree is the median! Hence, median retrieval is always O(1)
Time complexity: O(logN). Space complexity: O(N). N - size of window
diff --git a/d2/d26/count__inversions_8cpp.html b/d2/d26/count__inversions_8cpp.html index 01404c96f..db51edf0d 100644 --- a/d2/d26/count__inversions_8cpp.html +++ b/d2/d26/count__inversions_8cpp.html @@ -151,7 +151,7 @@ Functionstwo elements a[i] and a[j] form an inversion if a[i] > a[j] and i < j
Time Complexity --> O(n.log n)
Space Complexity --> O(n) ; additional array temp[1..n]
+
Algorithm
- The idea is similar to merge sort, divide the array into two equal or almost equal halves in each step until the base case is reached.
diff --git a/d3/db3/lru__cache_8cpp.html b/d3/db3/lru__cache_8cpp.html
index 91c91c61d..65b8a6b34 100644
--- a/d3/db3/lru__cache_8cpp.html
+++ b/d3/db3/lru__cache_8cpp.html
@@ -150,7 +150,7 @@ Functions
Detailed Description
An implementation of LRU Cache. Lru is a part of cache algorithms (also frequently called cache replacement algorithms or cache replacement policies).
-
+
Logic
- Discards the least recently used items first.
@@ -158,7 +158,7 @@ Logic
- General implementations of this technique require keeping "age bits" for cache-lines and track the "Least Recently Used" cache-line based on age-bits.
- In such an implementation, every time a cache-line is used, the age of all other cache-lines changes
-
+
Algorithm explanation
For a cache of page frame x:
- Check if the page is present in cache.
@@ -170,7 +170,7 @@ Algorithm explanation
Every time a requested page is not found in cache, that is a miss or page fault, and if the page is present in cache, then its a hit.
-
+
Data Structure used
- In the algorithm below we used two different data structure, one is linked list and other one is a hash map
diff --git a/d3/df9/recursive__bubble__sort_8cpp.html b/d3/df9/recursive__bubble__sort_8cpp.html
index 9f7738eda..41c21fc31 100644
--- a/d3/df9/recursive__bubble__sort_8cpp.html
+++ b/d3/df9/recursive__bubble__sort_8cpp.html
@@ -135,7 +135,7 @@ Functions
The working principle of the Bubble sort algorithm.
Bubble sort is a simple sorting algorithm used to rearrange a set of ascending or descending order elements. Bubble sort gets its name from the fact that data "bubbles" to the top of the dataset.
-
+
Algorithm
What is Swap?
Swapping two numbers means that we interchange their values. Often, an additional variable is required for this operation. This is further illustrated in the following:
diff --git a/d4/d32/inorder__successor__of__bst_8cpp.html b/d4/d32/inorder__successor__of__bst_8cpp.html
index 54a43c49a..ec436832e 100644
--- a/d4/d32/inorder__successor__of__bst_8cpp.html
+++ b/d4/d32/inorder__successor__of__bst_8cpp.html
@@ -163,21 +163,21 @@ Functions
Detailed Description
An implementation for finding the Inorder successor of a binary search tree Inorder successor of a node is the next node in Inorder traversal of the Binary Tree. Inorder Successor is NULL for the last node in Inorder traversal.
-
+
Case 1: The given node has the right node/subtree
* In this case, the left-most deepest node in the right subtree will
come just after the given node as we go to left deep in inorder.
- Go deep to left most node in right subtree. OR, we can also say in case if BST, find the minimum of the subtree for a given node.
-
+
Case 2: The given node does not have a right node/subtree
-
+
Method 1: Use parent pointer (store the address of parent nodes)
- If a node does not have the right subtree, and we already visited the node itself, then the next node will be its parent node according to inorder traversal, and if we are going to parent from left, then the parent would be unvisited.
- In other words, go to the nearest ancestor for which given node would be in left subtree.
-
+
Method 2: Search from the root node
- In case if there is no link from a child node to the parent node, we need to walk down the tree starting from the root node to the given node, by doing so, we are visiting every ancestor of the given node.
diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html
index 0b00e49e9..06f3ce5b0 100644
--- a/d4/d38/power__of__two_8cpp.html
+++ b/d4/d38/power__of__two_8cpp.html
@@ -125,7 +125,7 @@ Functions
Detailed Description
Implementation to check whether a number is a power of 2 or not.
This algorithm uses bit manipulation to check if a number is a power of 2 or not.
-
+
Algorithm
Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not
For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2
- Note
- This implementation is better than naive recursive or iterative approach.
diff --git a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
index dc224c99d..7d38a4866 100644
--- a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
+++ b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
@@ -95,40 +95,61 @@ $(document).ready(function(){initNavTree('d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t
Our Pledge
-In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to making participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, religion, or sexual identity and orientation.
+We as members, contributors, and leaders pledge to make participation in our community a harassment-free experience for everyone, regardless of age, body size, visible or invisible disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, caste, color, religion, or sexual identity and orientation.
+We pledge to act and interact in ways that contribute to an open, welcoming, diverse, inclusive, and healthy community.
Our Standards
-Examples of behavior that contributes to creating a positive environment include:
+Examples of behavior that contributes to a positive environment for our community include:
-- Using welcoming and inclusive language
-- Being respectful of differing viewpoints and experiences
-- Gracefully accepting constructive criticism
-- Focusing on what is best for the community
-- Showing empathy towards other community members
+- Demonstrating empathy and kindness toward other people
+- Being respectful of differing opinions, viewpoints, and experiences
+- Giving and gracefully accepting constructive feedback
+- Accepting responsibility and apologizing to those affected by our mistakes, and learning from the experience
+- Focusing on what is best not just for us as individuals, but for the overall community
-Examples of unacceptable behavior by participants include:
+Examples of unacceptable behavior include:
-- The use of sexualized language or imagery and unwelcome sexual attention or advances
-- Trolling, insulting/derogatory comments, and personal or political attacks
+- The use of sexualized language or imagery, and sexual attention or advances of any kind
+- Trolling, insulting or derogatory comments, and personal or political attacks
- Public or private harassment
-- Publishing others' private information, such as a physical or electronic address, without explicit permission
+- Publishing others' private information, such as a physical or email address, without their explicit permission
- Other conduct which could reasonably be considered inappropriate in a professional setting
-Our Responsibilities
-Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior.
-Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful.
+Enforcement Responsibilities
+Community leaders are responsible for clarifying and enforcing our standards of acceptable behavior and will take appropriate and fair corrective action in response to any behavior that they deem inappropriate, threatening, offensive, or harmful.
+Community leaders have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, and will communicate reasons for moderation decisions when appropriate.
Scope
-This Code of Conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers.
+This Code of Conduct applies within all community spaces, and also applies when an individual is officially representing the community in public spaces. Examples of representing our community include using an official e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event.
Enforcement
-Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at 1anuppanwar@gmail.com, dynamitechetan@gmail.com, nikhilkala8@gmail.com. All complaints will be reviewed and investigated and will result in a response that is deemed necessary and appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately.
-Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project's leadership.
+Instances of abusive, harassing, or otherwise unacceptable behavior may be reported to the community leaders responsible for enforcement at hello@the-algorithms.com. All complaints will be reviewed and investigated promptly and fairly.
+All community leaders are obligated to respect the privacy and security of the reporter of any incident.
+Enforcement Guidelines
+Community leaders will follow these Community Impact Guidelines in determining the consequences for any action they deem in violation of this Code of Conduct:
+
+1. Correction
+Community Impact: Use of inappropriate language or other behavior deemed unprofessional or unwelcome in the community.
+Consequence: A private, written warning from community leaders, providing clarity around the nature of the violation and an explanation of why the behavior was inappropriate. A public apology may be requested.
+
+2. Warning
+Community Impact: A violation through a single incident or series of actions.
+Consequence: A warning with consequences for continued behavior. No interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, for a specified period of time. This includes avoiding interactions in community spaces as well as external channels like social media. Violating these terms may lead to a temporary or permanent ban.
+
+3. Temporary Ban
+Community Impact: A serious violation of community standards, including sustained inappropriate behavior.
+Consequence: A temporary ban from any sort of interaction or public communication with the community for a specified period of time. No public or private interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, is allowed during this period. Violating these terms may lead to a permanent ban.
+
+4. Permanent Ban
+Community Impact: Demonstrating a pattern of violation of community standards, including sustained inappropriate behavior, harassment of an individual, or aggression toward or disparagement of classes of individuals.
+Consequence: A permanent ban from any sort of public interaction within the community.
+
Attribution
-This Code of Conduct is adapted from the Contributor Covenant, version 1.4, available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html
-For answers to common questions about this code of conduct, see https://www.contributor-covenant.org/faq
+This Code of Conduct is adapted from the Contributor Covenant, version 2.1, available at https://www.contributor-covenant.org/version/2/1/code_of_conduct.html.
+Community Impact Guidelines were inspired by Mozilla's code of conduct enforcement ladder.
+For answers to common questions about this code of conduct, see the FAQ at https://www.contributor-covenant.org/faq. Translations are available at https://www.contributor-covenant.org/translations.
diff --git a/d4/d8d/jarvis__algorithm_8cpp.html b/d4/d8d/jarvis__algorithm_8cpp.html
index 4f308761c..51c54461b 100644
--- a/d4/d8d/jarvis__algorithm_8cpp.html
+++ b/d4/d8d/jarvis__algorithm_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of Jarvis’s algorithm.
Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.
-
+
Algorithm
The idea of Jarvis’s Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.
The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.
diff --git a/d4/d9f/selection__sort__recursive_8cpp.html b/d4/d9f/selection__sort__recursive_8cpp.html
index bd5dd581b..9a9884b20 100644
--- a/d4/d9f/selection__sort__recursive_8cpp.html
+++ b/d4/d9f/selection__sort__recursive_8cpp.html
@@ -139,7 +139,7 @@ Functions
Detailed Description
Implementation of the Selection sort implementation using recursion.
The selection sort algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front (left) of the list, and a sublist of the remaining unsorted items that occupy the rest of the list. Initially, the sorted sublist is empty, and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on the sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.
-
+
Implementation
FindMinIndex This function finds the minimum element of the array(list) recursively by simply comparing the minimum element of array reduced size by 1 and compares it to the last element of the array to find the minimum of the whole array.
SelectionSortRecursive Just like selection sort, it divides the list into two parts (i.e.: sorted and unsorted) and finds the minimum of the unsorted array. By calling the FindMinIndex function, it swaps the minimum element with the first element of the list, and then solves recursively for the remaining unsorted list.
diff --git a/d5/d33/gram__schmidt_8cpp.html b/d5/d33/gram__schmidt_8cpp.html
index 8d06e8345..27caa6c33 100644
--- a/d5/d33/gram__schmidt_8cpp.html
+++ b/d5/d33/gram__schmidt_8cpp.html
@@ -139,7 +139,7 @@ Functions
Detailed Description
Gram Schmidt Orthogonalisation Process
Takes the input of Linearly Independent Vectors, returns vectors orthogonal to each other.
-
+
Algorithm
Take the first vector of given LI vectors as first vector of Orthogonal vectors. Take projection of second input vector on the first vector of Orthogonal vector and subtract it from the 2nd LI vector. Take projection of third vector on the second vector of Othogonal vectors and subtract it from the 3rd LI vector. Keep repeating the above process until all the vectors in the given input array are exhausted.
For Example: In R2, Input LI Vectors={(3,1),(2,2)} then Orthogonal Vectors= {(3, 1),(-0.4, 1.2)}
diff --git a/d5/d45/sublist__search_8cpp.html b/d5/d45/sublist__search_8cpp.html
index 1eea377f4..29c0e6b96 100644
--- a/d5/d45/sublist__search_8cpp.html
+++ b/d5/d45/sublist__search_8cpp.html
@@ -148,14 +148,14 @@ Functions
Detailed Description
Implementation of the Sublist Search Algorithm
-
+
Algorithm
- Sublist search is used to detect a presence of one list in another list.
- Suppose we have a single-node list (let's say the first list), and we want to ensure that the list is present in another list (let's say the second list), then we can perform the sublist search to find it.
- For instance, the first list contains these elements: 23 -> 30 -> 41, and the second list contains these elements: 10 -> 15 -> 23 -> 30 -> 41 -> 49. At a glance, we see that the first list presents in the second list.
-
+
Working
- The sublist search algorithm works by comparing the first element of the first list with the first element of the second list.
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
index 801982ad0..ca3c8f45a 100644
--- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html
+++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
@@ -107,14 +107,14 @@ $(document).ready(function(){initNavTree('d5/d88/md__d_i_r_e_c_t_o_r_y.html','..
- Sudoku Solve
- Wildcard Matching
-
+
Bit Manipulation
-
+
Ciphers
- A1Z26 Cipher
@@ -129,12 +129,12 @@ Ciphers
- Vigenere Cipher
- Xor Cipher
-
+
Cpu Scheduling Algorithms
-
+
Data Structures
- Avltree
@@ -179,12 +179,12 @@ Data Structures
- Trie Tree
- Trie Using Hashmap
-
+
Divide And Conquer
-
+
Dynamic Programming
- 0 1 Knapsack
@@ -215,13 +215,13 @@ Dynamic Programming
- Tree Height
- Word Break
-
+
Geometry
-
+
Graph
- Bidirectional Dijkstra
@@ -246,12 +246,12 @@ Graph
- Topological Sort By Kahns Algo
- Travelling Salesman Problem
-
+
Graphics
-
+
Greedy Algorithms
- Dijkstra
@@ -261,7 +261,7 @@ Greedy Algorithms
- Kruskals Minimum Spanning Tree
- Prims Minimum Spanning Tree
-
+
Hashing
- Chaining
@@ -271,12 +271,12 @@ Hashing
- Quadratic Probing Hash Table
- Sha1
-
+
Linear Algebra
-
+
Machine Learning
- A Star Search
@@ -287,7 +287,7 @@ Machine Learning
- Ordinary Least Squares Regressor
- Vector Ops
-
+
Math
- Area
@@ -344,7 +344,7 @@ Math
- Vector Cross Product
- Volume
-
+
Numerical Methods
- Bisection Method
@@ -365,7 +365,7 @@ Numerical Methods
- Rungekutta
- Successive Approximation
-
+
Operations On Datastructures
- Array Left Rotation
@@ -381,7 +381,7 @@ Operations On Datastructures
- Trie Multiple Search
- Union Of Two Arrays
-
+
Others
- Buzz Number
@@ -407,7 +407,7 @@ Others
- Tower Of Hanoi
- Vector Important Functions
-
+
Probability
- Addition Rule
@@ -417,7 +417,7 @@ Probability
- Poisson Dist
- Windowed Median
-
+
Range Queries
- Fenwick Tree
@@ -428,7 +428,7 @@ Range Queries
- Segtree
- Sparse Table
-
+
Search
- Binary Search
@@ -446,7 +446,7 @@ Search
- Ternary Search
- Text Search
-
+
Sorting
- Bead Sort
@@ -489,7 +489,7 @@ Sorting
- Wave Sort
- Wiggle Sort
-
+
Strings
- Brute Force String Searching
diff --git a/d5/d96/md5_8cpp.html b/d5/d96/md5_8cpp.html
index 7b688c504..4c37940ad 100644
--- a/d5/d96/md5_8cpp.html
+++ b/d5/d96/md5_8cpp.html
@@ -164,7 +164,7 @@ Functions
- Store salted password
However MD5 has be know to be cryptographically weak for quite some time, yet it is still widely used. This weakness was exploited by the Flame Malware in 2012
-
+
Algorithm
First of all, all values are expected to be in little endian. This is especially important when using part of the bytestring as an integer.
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html
index 36066dc66..98c1ebbba 100644
--- a/d5/ddb/bogo__sort_8cpp.html
+++ b/d5/ddb/bogo__sort_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of Bogosort algorithm
In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.
-
+
Algorithm
Shuffle the array untill array is sorted.
diff --git a/d6/d05/reverse__a__linked__list_8cpp.html b/d6/d05/reverse__a__linked__list_8cpp.html
index 823f916bf..61649c3f6 100644
--- a/d6/d05/reverse__a__linked__list_8cpp.html
+++ b/d6/d05/reverse__a__linked__list_8cpp.html
@@ -139,7 +139,7 @@ Functions
Detailed Description
Implementation of Reversing a single linked list
The linked list is a data structure used for holding a sequence of values, which can be added, displayed, reversed, or removed.
-
+
Algorithm
Values can be added by iterating to the end of a list (by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Linked List can be reversed by using 3 pointers: current, previous, and next_node; we keep iterating until the last node. Meanwhile, before changing to the next of current, we store it in the next_node pointer, now we store the prev pointer in the current of next, this is where the actual reversal happens. And then we move the prev and current pointers one step forward. Then the head node is made to point to the last node (prev pointer) after completion of an iteration.
diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html
index 1bdecfa29..9010be663 100644
--- a/d6/d10/cut__rod_8cpp.html
+++ b/d6/d10/cut__rod_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of cutting a rod problem.
Given a rod of length n inches and an array of prices that contains prices of all pieces of size<=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.
-
+
Algorithm
The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.
-
+
Before contributing
Welcome to TheAlgorithms/C-Plus-Plus! Before submitting pull requests, please make sure that you have read the whole guidelines. If you have any doubts about this contribution guide, please open an issue or ask in our Discord server, and clearly state your concerns.
-
+
Contributing
-
+
Maintainer/reviewer
Please check the reviewer code file for maintainers and reviewers.
-
+
Contributor
Being a contributor at The Algorithms, we request you to follow the points mentioned below:
@@ -116,9 +116,9 @@ Contributor
You can add new algorithms or data structures which are not present in the repository or that can improve the old implementations (documentation, improving test cases, removing bugs or in any other resonable sense)
Issues Please avoid opening issues asking to be "assigned” to a particular algorithm. This merely creates unnecessary noise for maintainers. Instead, please submit your implementation in a pull request, and it will be evaluated by project maintainers.
-@subsection autotoc_md21 Making Changes
+@subsection autotoc_md26 Making Changes
-@subsubsection autotoc_md22 Code
+@subsubsection autotoc_md27 Code
- Please use the directory structure of the repository.
- Make sure the file extensions should be <tt>*.hpp</tt>, <tt>*.h</tt> or <tt>*.cpp</tt>.
@@ -132,7 +132,7 @@ Contributor
- Please conform to <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standard and document the code as much as possible. This not only facilitates the readers but also generates the correct info on the website.
- <strong>Be consistent in the use of these guidelines.</strong>
-@subsubsection autotoc_md23 Documentation
+@subsubsection autotoc_md28 Documentation
- Make sure you put useful comments in your code. Do not comment on obvious things.
- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure. If you want to create a new directory, then please check if a similar category has been recently suggested or created by other pull requests.
@@ -140,13 +140,13 @@ Contributor
- Do not update <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a> along with other changes. First, create an issue and then link to that issue in your pull request to suggest specific changes required to <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a>.
- The repository follows <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standards and auto-generates the <a href="https://thealgorithms.github.io/C-Plus-Plus" target="_blank" >repository website</a>. Please ensure the code is documented in this structure. A sample implementation is given below.
-@subsubsection autotoc_md24 Test
+@subsubsection autotoc_md29 Test
- Make sure to add examples and test cases in your <tt>main()</tt> function.
- If you find an algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes.
- Please try to add one or more <tt>test()</tt> functions that will invoke the algorithm implementation on random test data with the expected output. Use the <tt>assert()</tt> function to confirm that the tests will pass. Requires including the <tt>cassert</tt> library.
-@subsubsection autotoc_md25 Typical structure of a program
+@subsubsection autotoc_md30 Typical structure of a program
@code{cpp}
/**
@@ -223,7 +223,7 @@ int main(int argc, char *argv[]) {
}
@endcode
-@subsubsection autotoc_md26 New File Name guidelines
+@subsubsection autotoc_md31 New File Name guidelines
- Use lowercase words with <tt>"_"</tt> as a separator
- For instance
@@ -237,7 +237,7 @@ my_new_cpp_class.cpp is correct format
- File name validation will run on Docker to ensure validity.
- If an implementation of the algorithm already exists and your version is different from that implemented, please use incremental numeric digit as a suffix. For example: if <tt>median_search.cpp</tt> already exists in the <tt>search</tt> folder, and you are contributing a new implementation, the filename should be <tt>median_search2.cpp</tt> and for a third implementation, <tt>median_search3.cpp</tt>.
-@subsubsection autotoc_md27 New Directory guidelines
+@subsubsection autotoc_md32 New Directory guidelines
- We recommend adding files to existing directories as much as possible.
- Use lowercase words with <tt>"_"</tt> as separator ( no spaces or <tt>"-"</tt> allowed )
@@ -251,7 +251,7 @@ some_new_fancy_category is correct
- Filepaths will be used to dynamically create a directory of our algorithms.
- Filepath validation will run on GitHub Actions to ensure compliance.
-@subsubsection autotoc_md28 Commit Guidelines
+@subsubsection autotoc_md33 Commit Guidelines
- It is recommended to keep your changes grouped logically within individual commits. Maintainers find it easier to understand changes that are logically spilled across multiple commits. Try to modify just one or two files in the same directory. Pull requests that span multiple directories are often rejected.
@@ -276,11 +276,11 @@ Common prefixes:
- docs: Documentation changes
- test: Correct existing tests or add new ones
-@subsection autotoc_md29 Pull Requests
+@subsection autotoc_md34 Pull Requests
- Checkout our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.github/pull_request_template.md" target="_blank" >pull request template</a>
-@subsubsection autotoc_md30 Building Locally
+@subsubsection autotoc_md35 Building Locally
Before submitting a pull request,
build the code locally or using the convenient <a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus" target="_blank" ><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code"/></a> service.
@@ -289,7 +289,7 @@ Before submitting a pull request,
cmake -B build -S .
@endcode
-@subsubsection autotoc_md31 Static Code Analyzer
+@subsubsection autotoc_md36 Static Code Analyzer
We use <a href="https://clang.llvm.org/extra/clang-tidy/" target="_blank" ><tt>clang-tidy</tt></a> as a static code analyzer with a configuration in <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.clang-tidy" target="_blank" ><tt>.clang-tidy</tt></a>.
@@ -297,7 +297,7 @@ We use <a href="https://cl
clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
@endcode
-@subsubsection autotoc_md32 Code Formatter
+@subsubsection autotoc_md37 Code Formatter
<a href="https://clang.llvm.org/docs/ClangFormat.html" target="_blank" ><tt>__clang-format__</tt></a> is used for code forrmating.
@@ -308,7 +308,7 @@ clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
- Linux (Debian): <tt>sudo apt-get install clang-format-10 clang-tidy-10</tt>
- Running (all platforms): <tt>clang-format -i -style="file" my_file.cpp</tt>
-@subsubsection autotoc_md33 GitHub Actions
+@subsubsection autotoc_md38 GitHub Actions
- Enable GitHub Actions on your fork of the repository.
After enabling, it will execute <tt>clang-tidy</tt> and <tt>clang-format</tt> after every push (not a commit).
diff --git a/d7/d00/list__array_8cpp.html b/d7/d00/list__array_8cpp.html
index a69160e88..6a0916788 100644
--- a/d7/d00/list__array_8cpp.html
+++ b/d7/d00/list__array_8cpp.html
@@ -137,7 +137,7 @@ Functions
Detailed Description
The list_array is the implementation of list represented using array. We can perform basic CRUD operations as well as other operations like sorting etc.
-
+
Algorithm
It implements various method like insert, sort, search etc. efficiently. You can select the operation and methods will do the rest work for you. You can insert element, sort them in order, search efficiently, delete values and print the list.
Function Documentation
diff --git a/d7/d73/abbreviation_8cpp.html b/d7/d73/abbreviation_8cpp.html
index e0cf42cc2..3e03c7907 100644
--- a/d7/d73/abbreviation_8cpp.html
+++ b/d7/d73/abbreviation_8cpp.html
@@ -140,7 +140,7 @@ Functions
- Capitalize zero or more of
a's lowercase letters.
- Delete all of the remaining lowercase letters in
a.
-
+
Algorithm
The idea is in the problem statement itself: iterate through characters of string a and b (for character indexes i and j respectively):
- If
a[i] and b[j] are equal, then move to next position
diff --git a/d8/d7a/sha1_8cpp.html b/d8/d7a/sha1_8cpp.html
index dd3ce6d9a..9639a6151 100644
--- a/d8/d7a/sha1_8cpp.html
+++ b/d8/d7a/sha1_8cpp.html
@@ -150,7 +150,7 @@ Functions
Simple C++ implementation of the SHA-1 Hashing Algorithm
SHA-1 is a cryptographic hash function that was developped by the NSA 1995. SHA-1 is not considered secure since around 2010.
-
+
Algorithm
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
Once this is done, the algo breaks down this padded message into 64 bytes chunks. Each chunk is used for one round, a round breaks the chunk into 16 blocks of 4 bytes. These 16 blocks are then extended to 80 blocks using XOR operations on existing blocks (see code for more details). The algorithm will then update its 160-bit state (here represented used 5 32-bits integer) using partial hashes computed using special functions on the blocks previously built. Please take a look at the wikipedia article for more precision on these operations
- Note
- This is a simple implementation for a byte string but some implmenetations can work on bytestream, messages of unknown length.
diff --git a/d8/d90/iterative__tree__traversals_8cpp.html b/d8/d90/iterative__tree__traversals_8cpp.html
index 5132641bc..3d044db01 100644
--- a/d8/d90/iterative__tree__traversals_8cpp.html
+++ b/d8/d90/iterative__tree__traversals_8cpp.html
@@ -157,13 +157,13 @@ Functions
Detailed Description
Iterative version of Preorder, Postorder, and preorder Traversal of the Tree
-
+
Iterative Preorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first right child then left child. Repeat the same set of steps untill the Stack becomes empty. And return the result array as the preorder traversal of a tree.
-
+
Iterative Postorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first left child then right child. Repeat the same set of steps untill the Stack becomes empty. Now reverse the result array and then return it to the calling function as a postorder traversal of a tree.
-
+
Iterative Inorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current. Now iterate and take the current to the extreme left of the tree by traversing only to its left. Pop the elemnt from the stack and assign it to the current. Store the data of current into the result array. Repeat the same set of steps until the Stack becomes empty or the current becomes NULL. And return the result array as the inorder traversal of a tree.
Function Documentation
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index 832d10ae4..7dd093685 100644
--- a/d8/d99/connected__components__with__dsu_8cpp.html
+++ b/d8/d99/connected__components__with__dsu_8cpp.html
@@ -155,7 +155,7 @@ uint32_t graph::disjoint_u
Detailed Description
The Disjoint union is the technique to find connected component in graph efficiently.
-
+
Algorithm
In Graph, if you have to find out the number of connected components, there are 2 options
- Depth first search
diff --git a/d8/df0/queue__using__array_8cpp.html b/d8/df0/queue__using__array_8cpp.html
index 81cef09a0..e7d7bce2e 100644
--- a/d8/df0/queue__using__array_8cpp.html
+++ b/d8/df0/queue__using__array_8cpp.html
@@ -140,7 +140,7 @@ Variables
Detailed Description
Implementation of Linear Queue using array.
The Linear Queue is a data structure used for holding a sequence of values, which can be added to the end line (enqueue), removed from head of line (dequeue) and displayed.
-
+
Algorithm
Values can be added by increasing the rear variable by 1 (which points to the end of the array), then assigning new value to rear's element of the array.
Values can be removed by increasing the front variable by 1 (which points to the first of the array), so it cannot reached any more.
diff --git a/da/d52/minimum__edit__distance_8cpp.html b/da/d52/minimum__edit__distance_8cpp.html
index 31ac30d22..e639a34e2 100644
--- a/da/d52/minimum__edit__distance_8cpp.html
+++ b/da/d52/minimum__edit__distance_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of Minimum Edit Distance using Dynamic Programing.
Given two strings str1 & str2 and we have to calculate the minimum number of operations (Insert, Remove, Replace) required to convert str1 to str2.
-
+
Algorithm
We will solve this problem using Naive recursion. But as we are approaching with a DP solution. So, we will take a DP array to store the solution of all sub-problems so that we don't have to perform recursion again and again. Now to solve the problem, We can traverse all characters from either right side of the strings or left side. Suppose we will do it from the right side. So, there are two possibilities for every pair of characters being traversed.
- If the last characters of two strings are the same, Ignore the characters and get the count for the remaining string. So, we get the solution for lengths m-1 and n-1 in a DP array.
diff --git a/da/dc3/linked__list_8cpp.html b/da/dc3/linked__list_8cpp.html
index 696dd6053..f585e3036 100644
--- a/da/dc3/linked__list_8cpp.html
+++ b/da/dc3/linked__list_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of singly linked list algorithm.
The linked list is a data structure used for holding a sequence of values, which can be added, removed and displayed.
-
+
Algorithm
Values can be added by iterating to the end of a list(by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Values can be removed by also iterating through the list. When the node containing the value is found, the node pointing to the current node is made to point to the node that the current node is pointing to, and then returning the current node to heap store.
diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html
index 477437e99..e11f924c2 100644
--- a/db/d16/0__1__knapsack_8cpp.html
+++ b/db/d16/0__1__knapsack_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of 0-1 Knapsack Problem
Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)
-
+
Algorithm
The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than W. From all such subsets, pick the maximum value subset.
- Author
- Anmol
diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html
index 94aed415f..3f86ebe15 100644
--- a/db/dca/kadane2_8cpp.html
+++ b/db/dca/kadane2_8cpp.html
@@ -131,7 +131,7 @@ Functions
Detailed Description
Implementation of Kadane Algorithm
Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum
-
+
Algorithm
The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum
diff --git a/dc/d64/md__coding_guidelines.html b/dc/d64/md__coding_guidelines.html
index 53ab64545..3cab0ad5a 100644
--- a/dc/d64/md__coding_guidelines.html
+++ b/dc/d64/md__coding_guidelines.html
@@ -96,14 +96,14 @@ $(document).ready(function(){initNavTree('dc/d64/md__coding_guidelines.html','..
Please orient on this guide before you sent a pull request.
-
+
User-interface
Please write a simple user interface for your programs. Not a blinking cursor!
What does the program do?
What want the program an user informations?
-
+
Code style conventions
See here
Don't push all code in one line!
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index d566612db..851a02a78 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -209,7 +209,7 @@ Functions
Mathematical algorithms
Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is f(n) = f(n-1) + f(n-2) where f(0) = 0 and f(1) = 1. Note that the method used only demonstrates recurrence relation with one variable (n), unlike nCr problem, since it has two (n, r)
-
+
Algorithm
This problem can be solved using matrix exponentiation method.
- See also
- here for simple number exponentiation algorithm or explaination here.
diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html
index 75155b9a9..02281e7af 100644
--- a/df/d66/vector__cross__product_8cpp.html
+++ b/df/d66/vector__cross__product_8cpp.html
@@ -144,7 +144,7 @@ Functions
The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)
Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.
Magnitude of a vector is the square root of the sum of the squares of the direction ratios.
-
+
Example:
An example of a running instance of the executable program:
Pass the first Vector: 1 2 3
Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847
diff --git a/index.html b/index.html
index bc40a6ccb..22cbdb5e0 100644
--- a/index.html
+++ b/index.html
@@ -95,10 +95,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
-
+
Overview
This repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. These algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.
-
+
Features
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++.
@@ -109,12 +109,12 @@ Features
- Self-checks within programs ensure correct implementations with confidence.
- Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.
-
+
Documentation
Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.
Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
-
+
Contributions
As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.
diff --git a/navtreedata.js b/navtreedata.js
index ac142b181..46f7829cd 100644
--- a/navtreedata.js
+++ b/navtreedata.js
@@ -26,68 +26,74 @@ var NAVTREE =
[
[ "Algorithms_in_C++", "index.html", [
[ "The Algorithms - C++", "index.html", [
- [ "Overview", "index.html#autotoc_md93", null ],
- [ "Features", "index.html#autotoc_md94", null ],
- [ "Documentation", "index.html#autotoc_md95", null ],
- [ "Contributions", "index.html#autotoc_md96", null ]
+ [ "Overview", "index.html#autotoc_md98", null ],
+ [ "Features", "index.html#autotoc_md99", null ],
+ [ "Documentation", "index.html#autotoc_md100", null ],
+ [ "Contributions", "index.html#autotoc_md101", null ]
] ],
[ "Contributor Covenant Code of Conduct", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html", [
[ "Our Pledge", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md5", null ],
[ "Our Standards", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md6", null ],
- [ "Our Responsibilities", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md7", null ],
+ [ "Enforcement Responsibilities", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md7", null ],
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+ [ "4. Permanent Ban", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md14", null ]
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+ [ "Attribution", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md15", null ]
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+ [ "User-interface", "dc/d64/md__coding_guidelines.html#autotoc_md18", null ],
+ [ "Code style conventions", "dc/d64/md__coding_guidelines.html#autotoc_md20", null ]
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- [ "Commit Guidelines", "d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html#autotoc_md28", null ]
+ [ "Before contributing", "d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html#autotoc_md22", null ],
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"da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1":[10,0,10,0,0,5],
"da/d19/classprobability_1_1geometric__dist_1_1geometric__distribution.html#aee973db9f0435e0cb4cc70f8eb3447a1":[9,0,79,0,0,5],
"da/d23/eulers__totient__function_8cpp.html":[11,0,14,9],
@@ -222,16 +227,16 @@ var NAVTREEINDEX9 =
"da/d24/sqrt__double_8cpp.html":[11,0,14,46],
"da/d24/sqrt__double_8cpp.html#ae662282ad0740d2063ac404ca3bd74fc":[11,0,14,46,1],
"da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4":[11,0,14,46,0],
-"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html":[9,0,18,3,0],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html":[10,0,1,3,0],
+"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html":[9,0,18,3,0],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039":[9,0,18,3,0,0],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a0c8cbe7239232863f104793c08273039":[10,0,1,3,0,0],
-"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3":[9,0,18,3,0,2],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3":[10,0,1,3,0,2],
-"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e":[9,0,18,3,0,1],
+"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#a6cf72f93b1551f0d943c585b4f173be3":[9,0,18,3,0,2],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e":[10,0,1,3,0,1],
-"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81":[9,0,18,3,0,4],
+"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ab78620742305a35ff2f8d61179f47d3e":[9,0,18,3,0,1],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81":[10,0,1,3,0,4],
+"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad36b9a20fed47b068e407008c04e9f81":[9,0,18,3,0,4],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635":[9,0,18,3,0,3],
"da/d37/structdata__structures_1_1sparse__table_1_1_sparse__table.html#ad71ecd43d0af1127df5f4006258f9635":[10,0,1,3,0,3],
"da/d39/volume_8cpp.html":[11,0,14,51],
@@ -244,10 +249,5 @@ var NAVTREEINDEX9 =
"da/d39/volume_8cpp.html#abde24398be43538c62e4a496968e60ca":[11,0,14,51,2],
"da/d39/volume_8cpp.html#ae413098478fa38acaac887b7654f0725":[11,0,14,51,1],
"da/d39/volume_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4":[11,0,14,51,3],
-"da/d41/uint128__t_8hpp.html":[11,0,2,6],
-"da/d41/uint128__t_8hpp.html#a3ff77262ffd6743df5b808d41382a6f3":[11,0,2,6,5],
-"da/d41/uint128__t_8hpp.html#acce684d03a24f9c13a9ed36de6d24a57":[11,0,2,6,4],
-"da/d41/uint128__t_8hpp_source.html":[11,0,2,6],
-"da/d4b/depth__first__search__with__stack_8cpp.html":[11,0,8,5],
-"da/d4b/depth__first__search__with__stack_8cpp.html#a330a2b0a904f01802ada1f8f3b28e76c":[11,0,8,5,6]
+"da/d41/uint128__t_8hpp.html":[11,0,2,6]
};
Detailed Description
An implementation of LRU Cache. Lru is a part of cache algorithms (also frequently called cache replacement algorithms or cache replacement policies).
-
+
Logic
- Discards the least recently used items first.
@@ -158,7 +158,7 @@ Logic
+
Algorithm explanation
For a cache of page frame x:
- Check if the page is present in cache. @@ -170,7 +170,7 @@ Algorithm explanation
Every time a requested page is not found in cache, that is a miss or page fault, and if the page is present in cache, then its a hit.
-
+
Data Structure used
- In the algorithm below we used two different data structure, one is linked list and other one is a hash map
diff --git a/d3/df9/recursive__bubble__sort_8cpp.html b/d3/df9/recursive__bubble__sort_8cpp.html
index 9f7738eda..41c21fc31 100644
--- a/d3/df9/recursive__bubble__sort_8cpp.html
+++ b/d3/df9/recursive__bubble__sort_8cpp.html
@@ -135,7 +135,7 @@ Functions
The working principle of the Bubble sort algorithm.
Bubble sort is a simple sorting algorithm used to rearrange a set of ascending or descending order elements. Bubble sort gets its name from the fact that data "bubbles" to the top of the dataset.
-
+
Algorithm
What is Swap?
Swapping two numbers means that we interchange their values. Often, an additional variable is required for this operation. This is further illustrated in the following:
diff --git a/d4/d32/inorder__successor__of__bst_8cpp.html b/d4/d32/inorder__successor__of__bst_8cpp.html index 54a43c49a..ec436832e 100644 --- a/d4/d32/inorder__successor__of__bst_8cpp.html +++ b/d4/d32/inorder__successor__of__bst_8cpp.html @@ -163,21 +163,21 @@ FunctionsDetailed Description
An implementation for finding the Inorder successor of a binary search tree Inorder successor of a node is the next node in Inorder traversal of the Binary Tree. Inorder Successor is NULL for the last node in Inorder traversal.
-
+
Case 1: The given node has the right node/subtree
* In this case, the left-most deepest node in the right subtree will
come just after the given node as we go to left deep in inorder.
- Go deep to left most node in right subtree. OR, we can also say in case if BST, find the minimum of the subtree for a given node.
+
Case 2: The given node does not have a right node/subtree
-
+
Method 1: Use parent pointer (store the address of parent nodes)
- If a node does not have the right subtree, and we already visited the node itself, then the next node will be its parent node according to inorder traversal, and if we are going to parent from left, then the parent would be unvisited.
- In other words, go to the nearest ancestor for which given node would be in left subtree.
-
+
Method 2: Search from the root node
- In case if there is no link from a child node to the parent node, we need to walk down the tree starting from the root node to the given node, by doing so, we are visiting every ancestor of the given node.
diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html
index 0b00e49e9..06f3ce5b0 100644
--- a/d4/d38/power__of__two_8cpp.html
+++ b/d4/d38/power__of__two_8cpp.html
@@ -125,7 +125,7 @@ Functions
Detailed Description
Implementation to check whether a number is a power of 2 or not.
This algorithm uses bit manipulation to check if a number is a power of 2 or not.
-
+
Algorithm
Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not
For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2
- Note
- This implementation is better than naive recursive or iterative approach.
diff --git a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
index dc224c99d..7d38a4866 100644
--- a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
+++ b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
@@ -95,40 +95,61 @@ $(document).ready(function(){initNavTree('d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t
Our Pledge
-In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to making participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, religion, or sexual identity and orientation.
+We as members, contributors, and leaders pledge to make participation in our community a harassment-free experience for everyone, regardless of age, body size, visible or invisible disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, caste, color, religion, or sexual identity and orientation.
+We pledge to act and interact in ways that contribute to an open, welcoming, diverse, inclusive, and healthy community.
Our Standards
-Examples of behavior that contributes to creating a positive environment include:
+Examples of behavior that contributes to a positive environment for our community include:
-- Using welcoming and inclusive language
-- Being respectful of differing viewpoints and experiences
-- Gracefully accepting constructive criticism
-- Focusing on what is best for the community
-- Showing empathy towards other community members
+- Demonstrating empathy and kindness toward other people
+- Being respectful of differing opinions, viewpoints, and experiences
+- Giving and gracefully accepting constructive feedback
+- Accepting responsibility and apologizing to those affected by our mistakes, and learning from the experience
+- Focusing on what is best not just for us as individuals, but for the overall community
-Examples of unacceptable behavior by participants include:
+Examples of unacceptable behavior include:
-- The use of sexualized language or imagery and unwelcome sexual attention or advances
-- Trolling, insulting/derogatory comments, and personal or political attacks
+- The use of sexualized language or imagery, and sexual attention or advances of any kind
+- Trolling, insulting or derogatory comments, and personal or political attacks
- Public or private harassment
-- Publishing others' private information, such as a physical or electronic address, without explicit permission
+- Publishing others' private information, such as a physical or email address, without their explicit permission
- Other conduct which could reasonably be considered inappropriate in a professional setting
-Our Responsibilities
-Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior.
-Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful.
+Enforcement Responsibilities
+Community leaders are responsible for clarifying and enforcing our standards of acceptable behavior and will take appropriate and fair corrective action in response to any behavior that they deem inappropriate, threatening, offensive, or harmful.
+Community leaders have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, and will communicate reasons for moderation decisions when appropriate.
Scope
-This Code of Conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers.
+This Code of Conduct applies within all community spaces, and also applies when an individual is officially representing the community in public spaces. Examples of representing our community include using an official e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event.
Enforcement
-Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at 1anuppanwar@gmail.com, dynamitechetan@gmail.com, nikhilkala8@gmail.com. All complaints will be reviewed and investigated and will result in a response that is deemed necessary and appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately.
-Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project's leadership.
+Instances of abusive, harassing, or otherwise unacceptable behavior may be reported to the community leaders responsible for enforcement at hello@the-algorithms.com. All complaints will be reviewed and investigated promptly and fairly.
+All community leaders are obligated to respect the privacy and security of the reporter of any incident.
+Enforcement Guidelines
+Community leaders will follow these Community Impact Guidelines in determining the consequences for any action they deem in violation of this Code of Conduct:
+
+1. Correction
+Community Impact: Use of inappropriate language or other behavior deemed unprofessional or unwelcome in the community.
+Consequence: A private, written warning from community leaders, providing clarity around the nature of the violation and an explanation of why the behavior was inappropriate. A public apology may be requested.
+
+2. Warning
+Community Impact: A violation through a single incident or series of actions.
+Consequence: A warning with consequences for continued behavior. No interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, for a specified period of time. This includes avoiding interactions in community spaces as well as external channels like social media. Violating these terms may lead to a temporary or permanent ban.
+
+3. Temporary Ban
+Community Impact: A serious violation of community standards, including sustained inappropriate behavior.
+Consequence: A temporary ban from any sort of interaction or public communication with the community for a specified period of time. No public or private interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, is allowed during this period. Violating these terms may lead to a permanent ban.
+
+4. Permanent Ban
+Community Impact: Demonstrating a pattern of violation of community standards, including sustained inappropriate behavior, harassment of an individual, or aggression toward or disparagement of classes of individuals.
+Consequence: A permanent ban from any sort of public interaction within the community.
+
Attribution
-This Code of Conduct is adapted from the Contributor Covenant, version 1.4, available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html
-For answers to common questions about this code of conduct, see https://www.contributor-covenant.org/faq
+This Code of Conduct is adapted from the Contributor Covenant, version 2.1, available at https://www.contributor-covenant.org/version/2/1/code_of_conduct.html.
+Community Impact Guidelines were inspired by Mozilla's code of conduct enforcement ladder.
+For answers to common questions about this code of conduct, see the FAQ at https://www.contributor-covenant.org/faq. Translations are available at https://www.contributor-covenant.org/translations.
Method 1: Use parent pointer (store the address of parent nodes)
- If a node does not have the right subtree, and we already visited the node itself, then the next node will be its parent node according to inorder traversal, and if we are going to parent from left, then the parent would be unvisited.
- In other words, go to the nearest ancestor for which given node would be in left subtree.
+
Method 2: Search from the root node
- In case if there is no link from a child node to the parent node, we need to walk down the tree starting from the root node to the given node, by doing so, we are visiting every ancestor of the given node.
diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html
index 0b00e49e9..06f3ce5b0 100644
--- a/d4/d38/power__of__two_8cpp.html
+++ b/d4/d38/power__of__two_8cpp.html
@@ -125,7 +125,7 @@ Functions
Detailed Description
Implementation to check whether a number is a power of 2 or not.
This algorithm uses bit manipulation to check if a number is a power of 2 or not.
-
+
Algorithm
Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not
For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2
- Note
- This implementation is better than naive recursive or iterative approach.
diff --git a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
index dc224c99d..7d38a4866 100644
--- a/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
+++ b/d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html
@@ -95,40 +95,61 @@ $(document).ready(function(){initNavTree('d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t
Our Pledge
-In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to making participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, religion, or sexual identity and orientation.
+We as members, contributors, and leaders pledge to make participation in our community a harassment-free experience for everyone, regardless of age, body size, visible or invisible disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, caste, color, religion, or sexual identity and orientation.
+We pledge to act and interact in ways that contribute to an open, welcoming, diverse, inclusive, and healthy community.
Our Standards
-Examples of behavior that contributes to creating a positive environment include:
+Examples of behavior that contributes to a positive environment for our community include:
-- Using welcoming and inclusive language
-- Being respectful of differing viewpoints and experiences
-- Gracefully accepting constructive criticism
-- Focusing on what is best for the community
-- Showing empathy towards other community members
+- Demonstrating empathy and kindness toward other people
+- Being respectful of differing opinions, viewpoints, and experiences
+- Giving and gracefully accepting constructive feedback
+- Accepting responsibility and apologizing to those affected by our mistakes, and learning from the experience
+- Focusing on what is best not just for us as individuals, but for the overall community
-Examples of unacceptable behavior by participants include:
+Examples of unacceptable behavior include:
-- The use of sexualized language or imagery and unwelcome sexual attention or advances
-- Trolling, insulting/derogatory comments, and personal or political attacks
+- The use of sexualized language or imagery, and sexual attention or advances of any kind
+- Trolling, insulting or derogatory comments, and personal or political attacks
- Public or private harassment
-- Publishing others' private information, such as a physical or electronic address, without explicit permission
+- Publishing others' private information, such as a physical or email address, without their explicit permission
- Other conduct which could reasonably be considered inappropriate in a professional setting
-Our Responsibilities
-Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior.
-Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful.
+Enforcement Responsibilities
+Community leaders are responsible for clarifying and enforcing our standards of acceptable behavior and will take appropriate and fair corrective action in response to any behavior that they deem inappropriate, threatening, offensive, or harmful.
+Community leaders have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, and will communicate reasons for moderation decisions when appropriate.
Scope
-This Code of Conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers.
+This Code of Conduct applies within all community spaces, and also applies when an individual is officially representing the community in public spaces. Examples of representing our community include using an official e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event.
Enforcement
-Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at 1anuppanwar@gmail.com, dynamitechetan@gmail.com, nikhilkala8@gmail.com. All complaints will be reviewed and investigated and will result in a response that is deemed necessary and appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately.
-Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project's leadership.
+Instances of abusive, harassing, or otherwise unacceptable behavior may be reported to the community leaders responsible for enforcement at hello@the-algorithms.com. All complaints will be reviewed and investigated promptly and fairly.
+All community leaders are obligated to respect the privacy and security of the reporter of any incident.
+Enforcement Guidelines
+Community leaders will follow these Community Impact Guidelines in determining the consequences for any action they deem in violation of this Code of Conduct:
+
+1. Correction
+Community Impact: Use of inappropriate language or other behavior deemed unprofessional or unwelcome in the community.
+Consequence: A private, written warning from community leaders, providing clarity around the nature of the violation and an explanation of why the behavior was inappropriate. A public apology may be requested.
+
+2. Warning
+Community Impact: A violation through a single incident or series of actions.
+Consequence: A warning with consequences for continued behavior. No interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, for a specified period of time. This includes avoiding interactions in community spaces as well as external channels like social media. Violating these terms may lead to a temporary or permanent ban.
+
+3. Temporary Ban
+Community Impact: A serious violation of community standards, including sustained inappropriate behavior.
+Consequence: A temporary ban from any sort of interaction or public communication with the community for a specified period of time. No public or private interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, is allowed during this period. Violating these terms may lead to a permanent ban.
+
+4. Permanent Ban
+Community Impact: Demonstrating a pattern of violation of community standards, including sustained inappropriate behavior, harassment of an individual, or aggression toward or disparagement of classes of individuals.
+Consequence: A permanent ban from any sort of public interaction within the community.
+
Attribution
-This Code of Conduct is adapted from the Contributor Covenant, version 1.4, available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html
-For answers to common questions about this code of conduct, see https://www.contributor-covenant.org/faq
+This Code of Conduct is adapted from the Contributor Covenant, version 2.1, available at https://www.contributor-covenant.org/version/2/1/code_of_conduct.html.
+Community Impact Guidelines were inspired by Mozilla's code of conduct enforcement ladder.
+For answers to common questions about this code of conduct, see the FAQ at https://www.contributor-covenant.org/faq. Translations are available at https://www.contributor-covenant.org/translations.
Detailed Description
Implementation to check whether a number is a power of 2 or not.
This algorithm uses bit manipulation to check if a number is a power of 2 or not.
-
+
Algorithm
Let the input number be n, then the bitwise and between n and n-1 will let us know whether the number is power of 2 or not
For Example, If N= 32 then N-1 is 31, if we perform bitwise and of these two numbers then the result will be zero, which indicates that it is the power of 2 If N=23 then N-1 is 22, if we perform bitwise and of these two numbers then the result will not be zero , which indicates that it is not the power of 2
- Note
- This implementation is better than naive recursive or iterative approach.
Our Pledge
-In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to making participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, religion, or sexual identity and orientation.
+We as members, contributors, and leaders pledge to make participation in our community a harassment-free experience for everyone, regardless of age, body size, visible or invisible disability, ethnicity, sex characteristics, gender identity and expression, level of experience, education, socio-economic status, nationality, personal appearance, race, caste, color, religion, or sexual identity and orientation.
+We pledge to act and interact in ways that contribute to an open, welcoming, diverse, inclusive, and healthy community.
Our Standards
-Examples of behavior that contributes to creating a positive environment include:
+Examples of behavior that contributes to a positive environment for our community include:
-
-
- Using welcoming and inclusive language -
- Being respectful of differing viewpoints and experiences -
- Gracefully accepting constructive criticism -
- Focusing on what is best for the community -
- Showing empathy towards other community members +
- Demonstrating empathy and kindness toward other people +
- Being respectful of differing opinions, viewpoints, and experiences +
- Giving and gracefully accepting constructive feedback +
- Accepting responsibility and apologizing to those affected by our mistakes, and learning from the experience +
- Focusing on what is best not just for us as individuals, but for the overall community
Examples of unacceptable behavior by participants include:
+Examples of unacceptable behavior include:
-
-
- The use of sexualized language or imagery and unwelcome sexual attention or advances -
- Trolling, insulting/derogatory comments, and personal or political attacks +
- The use of sexualized language or imagery, and sexual attention or advances of any kind +
- Trolling, insulting or derogatory comments, and personal or political attacks
- Public or private harassment -
- Publishing others' private information, such as a physical or electronic address, without explicit permission +
- Publishing others' private information, such as a physical or email address, without their explicit permission
- Other conduct which could reasonably be considered inappropriate in a professional setting
-Our Responsibilities
-Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior.
-Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful.
+Enforcement Responsibilities +Community leaders are responsible for clarifying and enforcing our standards of acceptable behavior and will take appropriate and fair corrective action in response to any behavior that they deem inappropriate, threatening, offensive, or harmful.
+Community leaders have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, and will communicate reasons for moderation decisions when appropriate.
Scope
-This Code of Conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers.
+This Code of Conduct applies within all community spaces, and also applies when an individual is officially representing the community in public spaces. Examples of representing our community include using an official e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event.
Enforcement
-Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at 1anuppanwar@gmail.com, dynamitechetan@gmail.com, nikhilkala8@gmail.com. All complaints will be reviewed and investigated and will result in a response that is deemed necessary and appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately.
-Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project's leadership.
+Instances of abusive, harassing, or otherwise unacceptable behavior may be reported to the community leaders responsible for enforcement at hello@the-algorithms.com. All complaints will be reviewed and investigated promptly and fairly.
+All community leaders are obligated to respect the privacy and security of the reporter of any incident.
+Enforcement Guidelines
+Community leaders will follow these Community Impact Guidelines in determining the consequences for any action they deem in violation of this Code of Conduct:
++1. Correction
+Community Impact: Use of inappropriate language or other behavior deemed unprofessional or unwelcome in the community.
+Consequence: A private, written warning from community leaders, providing clarity around the nature of the violation and an explanation of why the behavior was inappropriate. A public apology may be requested.
++2. Warning
+Community Impact: A violation through a single incident or series of actions.
+Consequence: A warning with consequences for continued behavior. No interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, for a specified period of time. This includes avoiding interactions in community spaces as well as external channels like social media. Violating these terms may lead to a temporary or permanent ban.
++3. Temporary Ban
+Community Impact: A serious violation of community standards, including sustained inappropriate behavior.
+Consequence: A temporary ban from any sort of interaction or public communication with the community for a specified period of time. No public or private interaction with the people involved, including unsolicited interaction with those enforcing the Code of Conduct, is allowed during this period. Violating these terms may lead to a permanent ban.
++4. Permanent Ban
+Community Impact: Demonstrating a pattern of violation of community standards, including sustained inappropriate behavior, harassment of an individual, or aggression toward or disparagement of classes of individuals.
+Consequence: A permanent ban from any sort of public interaction within the community.
+Attribution
-This Code of Conduct is adapted from the Contributor Covenant, version 1.4, available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html
-For answers to common questions about this code of conduct, see https://www.contributor-covenant.org/faq
+This Code of Conduct is adapted from the Contributor Covenant, version 2.1, available at https://www.contributor-covenant.org/version/2/1/code_of_conduct.html.
+Community Impact Guidelines were inspired by Mozilla's code of conduct enforcement ladder.
+For answers to common questions about this code of conduct, see the FAQ at https://www.contributor-covenant.org/faq. Translations are available at https://www.contributor-covenant.org/translations.
Detailed Description
Implementation of Jarvis’s algorithm.
Given a set of points in the plane. the convex hull of the set is the smallest convex polygon that contains all the points of it.
-
+
Algorithm
The idea of Jarvis’s Algorithm is simple, we start from the leftmost point (or point with minimum x coordinate value) and we keep wrapping points in counterclockwise direction.
The idea is to use orientation() here. Next point is selected as the point that beats all other points at counterclockwise orientation, i.e., next point is q if for any other point r, we have “orientation(p, q, r) = counterclockwise”.
diff --git a/d4/d9f/selection__sort__recursive_8cpp.html b/d4/d9f/selection__sort__recursive_8cpp.html index bd5dd581b..9a9884b20 100644 --- a/d4/d9f/selection__sort__recursive_8cpp.html +++ b/d4/d9f/selection__sort__recursive_8cpp.html @@ -139,7 +139,7 @@ FunctionsDetailed Description
Implementation of the Selection sort implementation using recursion.
The selection sort algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front (left) of the list, and a sublist of the remaining unsorted items that occupy the rest of the list. Initially, the sorted sublist is empty, and the unsorted sublist is the entire input list. The algorithm proceeds by finding the smallest (or largest, depending on the sorting order) element in the unsorted sublist, exchanging (swapping) it with the leftmost unsorted element (putting it in sorted order), and moving the sublist boundaries one element to the right.
-
+
Implementation
FindMinIndex This function finds the minimum element of the array(list) recursively by simply comparing the minimum element of array reduced size by 1 and compares it to the last element of the array to find the minimum of the whole array.
SelectionSortRecursive Just like selection sort, it divides the list into two parts (i.e.: sorted and unsorted) and finds the minimum of the unsorted array. By calling the FindMinIndex function, it swaps the minimum element with the first element of the list, and then solves recursively for the remaining unsorted list.
Detailed Description
Gram Schmidt Orthogonalisation Process
Takes the input of Linearly Independent Vectors, returns vectors orthogonal to each other.
-
+
Algorithm
Take the first vector of given LI vectors as first vector of Orthogonal vectors. Take projection of second input vector on the first vector of Orthogonal vector and subtract it from the 2nd LI vector. Take projection of third vector on the second vector of Othogonal vectors and subtract it from the 3rd LI vector. Keep repeating the above process until all the vectors in the given input array are exhausted.
For Example: In R2, Input LI Vectors={(3,1),(2,2)} then Orthogonal Vectors= {(3, 1),(-0.4, 1.2)}
diff --git a/d5/d45/sublist__search_8cpp.html b/d5/d45/sublist__search_8cpp.html index 1eea377f4..29c0e6b96 100644 --- a/d5/d45/sublist__search_8cpp.html +++ b/d5/d45/sublist__search_8cpp.html @@ -148,14 +148,14 @@ FunctionsDetailed Description
Implementation of the Sublist Search Algorithm
-
+
Algorithm
- Sublist search is used to detect a presence of one list in another list.
- Suppose we have a single-node list (let's say the first list), and we want to ensure that the list is present in another list (let's say the second list), then we can perform the sublist search to find it.
- For instance, the first list contains these elements: 23 -> 30 -> 41, and the second list contains these elements: 10 -> 15 -> 23 -> 30 -> 41 -> 49. At a glance, we see that the first list presents in the second list.
-
+
Working
- The sublist search algorithm works by comparing the first element of the first list with the first element of the second list.
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
index 801982ad0..ca3c8f45a 100644
--- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html
+++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
@@ -107,14 +107,14 @@ $(document).ready(function(){initNavTree('d5/d88/md__d_i_r_e_c_t_o_r_y.html','..
- Sudoku Solve
- Wildcard Matching
-
+
Bit Manipulation
-
+
Ciphers
- A1Z26 Cipher
@@ -129,12 +129,12 @@ Ciphers
Working
- The sublist search algorithm works by comparing the first element of the first list with the first element of the second list. diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html index 801982ad0..ca3c8f45a 100644 --- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html +++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html @@ -107,14 +107,14 @@ $(document).ready(function(){initNavTree('d5/d88/md__d_i_r_e_c_t_o_r_y.html','..
- Sudoku Solve
- Wildcard Matching
+
Bit Manipulation
-
+
Ciphers
- A1Z26 Cipher
@@ -129,12 +129,12 @@ Ciphers
Ciphers
- A1Z26 Cipher @@ -129,12 +129,12 @@ Ciphers
+
Cpu Scheduling Algorithms
-
+
Data Structures
- Avltree
@@ -179,12 +179,12 @@ Data Structures
Data Structures
- Avltree @@ -179,12 +179,12 @@ Data Structures
+
Divide And Conquer
-
+
Dynamic Programming
- 0 1 Knapsack
@@ -215,13 +215,13 @@ Dynamic Programming
Dynamic Programming
- 0 1 Knapsack @@ -215,13 +215,13 @@ Dynamic Programming
+
Geometry
-
+
Graph
- Bidirectional Dijkstra
@@ -246,12 +246,12 @@ Graph
Graph
- Bidirectional Dijkstra @@ -246,12 +246,12 @@ Graph
+
Graphics
-
+
Greedy Algorithms
- Dijkstra
@@ -261,7 +261,7 @@ Greedy Algorithms
Greedy Algorithms
- Dijkstra @@ -261,7 +261,7 @@ Greedy Algorithms
+
Hashing
- Chaining
@@ -271,12 +271,12 @@ Hashing
+
Linear Algebra
-
+
Machine Learning
- A Star Search
@@ -287,7 +287,7 @@ Machine Learning
Machine Learning
- A Star Search @@ -287,7 +287,7 @@ Machine Learning
+
Math
- Area
@@ -344,7 +344,7 @@ Math
+
Numerical Methods
- Bisection Method
@@ -365,7 +365,7 @@ Numerical Methods
+
Operations On Datastructures
- Array Left Rotation
@@ -381,7 +381,7 @@ Operations On Datastructures
+
Others
- Buzz Number
@@ -407,7 +407,7 @@ Others
+
Probability
- Addition Rule
@@ -417,7 +417,7 @@ Probability
+
Range Queries
- Fenwick Tree
@@ -428,7 +428,7 @@ Range Queries
+
Search
- Binary Search
@@ -446,7 +446,7 @@ Search
+
Sorting
- Bead Sort
@@ -489,7 +489,7 @@ Sorting
+
Strings
- Brute Force String Searching
diff --git a/d5/d96/md5_8cpp.html b/d5/d96/md5_8cpp.html
index 7b688c504..4c37940ad 100644
--- a/d5/d96/md5_8cpp.html
+++ b/d5/d96/md5_8cpp.html
@@ -164,7 +164,7 @@ Functions
- Store salted password
However MD5 has be know to be cryptographically weak for quite some time, yet it is still widely used. This weakness was exploited by the Flame Malware in 2012
-
+
Algorithm
First of all, all values are expected to be in little endian. This is especially important when using part of the bytestring as an integer.
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html
index 36066dc66..98c1ebbba 100644
--- a/d5/ddb/bogo__sort_8cpp.html
+++ b/d5/ddb/bogo__sort_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of Bogosort algorithm
In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.
-
+
Algorithm
Shuffle the array untill array is sorted.
diff --git a/d6/d05/reverse__a__linked__list_8cpp.html b/d6/d05/reverse__a__linked__list_8cpp.html
index 823f916bf..61649c3f6 100644
--- a/d6/d05/reverse__a__linked__list_8cpp.html
+++ b/d6/d05/reverse__a__linked__list_8cpp.html
@@ -139,7 +139,7 @@ Functions
Detailed Description
Implementation of Reversing a single linked list
The linked list is a data structure used for holding a sequence of values, which can be added, displayed, reversed, or removed.
-
+
Algorithm
Values can be added by iterating to the end of a list (by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Linked List can be reversed by using 3 pointers: current, previous, and next_node; we keep iterating until the last node. Meanwhile, before changing to the next of current, we store it in the next_node pointer, now we store the prev pointer in the current of next, this is where the actual reversal happens. And then we move the prev and current pointers one step forward. Then the head node is made to point to the last node (prev pointer) after completion of an iteration.
diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html
index 1bdecfa29..9010be663 100644
--- a/d6/d10/cut__rod_8cpp.html
+++ b/d6/d10/cut__rod_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of cutting a rod problem.
Given a rod of length n inches and an array of prices that contains prices of all pieces of size<=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.
-
+
Algorithm
The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.
-
+
Before contributing
Welcome to TheAlgorithms/C-Plus-Plus! Before submitting pull requests, please make sure that you have read the whole guidelines. If you have any doubts about this contribution guide, please open an issue or ask in our Discord server, and clearly state your concerns.
-
+
Contributing
-
+
Maintainer/reviewer
Please check the reviewer code file for maintainers and reviewers.
-
+
Contributor
Being a contributor at The Algorithms, we request you to follow the points mentioned below:
@@ -116,9 +116,9 @@ Contributor
You can add new algorithms or data structures which are not present in the repository or that can improve the old implementations (documentation, improving test cases, removing bugs or in any other resonable sense)
Issues Please avoid opening issues asking to be "assigned” to a particular algorithm. This merely creates unnecessary noise for maintainers. Instead, please submit your implementation in a pull request, and it will be evaluated by project maintainers.
-@subsection autotoc_md21 Making Changes
+@subsection autotoc_md26 Making Changes
-@subsubsection autotoc_md22 Code
+@subsubsection autotoc_md27 Code
- Please use the directory structure of the repository.
- Make sure the file extensions should be <tt>*.hpp</tt>, <tt>*.h</tt> or <tt>*.cpp</tt>.
@@ -132,7 +132,7 @@ Contributor
- Please conform to <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standard and document the code as much as possible. This not only facilitates the readers but also generates the correct info on the website.
- <strong>Be consistent in the use of these guidelines.</strong>
-@subsubsection autotoc_md23 Documentation
+@subsubsection autotoc_md28 Documentation
- Make sure you put useful comments in your code. Do not comment on obvious things.
- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure. If you want to create a new directory, then please check if a similar category has been recently suggested or created by other pull requests.
@@ -140,13 +140,13 @@ Contributor
- Do not update <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a> along with other changes. First, create an issue and then link to that issue in your pull request to suggest specific changes required to <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a>.
- The repository follows <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standards and auto-generates the <a href="https://thealgorithms.github.io/C-Plus-Plus" target="_blank" >repository website</a>. Please ensure the code is documented in this structure. A sample implementation is given below.
-@subsubsection autotoc_md24 Test
+@subsubsection autotoc_md29 Test
- Make sure to add examples and test cases in your <tt>main()</tt> function.
- If you find an algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes.
- Please try to add one or more <tt>test()</tt> functions that will invoke the algorithm implementation on random test data with the expected output. Use the <tt>assert()</tt> function to confirm that the tests will pass. Requires including the <tt>cassert</tt> library.
-@subsubsection autotoc_md25 Typical structure of a program
+@subsubsection autotoc_md30 Typical structure of a program
@code{cpp}
/**
@@ -223,7 +223,7 @@ int main(int argc, char *argv[]) {
}
@endcode
-@subsubsection autotoc_md26 New File Name guidelines
+@subsubsection autotoc_md31 New File Name guidelines
- Use lowercase words with <tt>"_"</tt> as a separator
- For instance
@@ -237,7 +237,7 @@ my_new_cpp_class.cpp is correct format
- File name validation will run on Docker to ensure validity.
- If an implementation of the algorithm already exists and your version is different from that implemented, please use incremental numeric digit as a suffix. For example: if <tt>median_search.cpp</tt> already exists in the <tt>search</tt> folder, and you are contributing a new implementation, the filename should be <tt>median_search2.cpp</tt> and for a third implementation, <tt>median_search3.cpp</tt>.
-@subsubsection autotoc_md27 New Directory guidelines
+@subsubsection autotoc_md32 New Directory guidelines
- We recommend adding files to existing directories as much as possible.
- Use lowercase words with <tt>"_"</tt> as separator ( no spaces or <tt>"-"</tt> allowed )
@@ -251,7 +251,7 @@ some_new_fancy_category is correct
- Filepaths will be used to dynamically create a directory of our algorithms.
- Filepath validation will run on GitHub Actions to ensure compliance.
-@subsubsection autotoc_md28 Commit Guidelines
+@subsubsection autotoc_md33 Commit Guidelines
- It is recommended to keep your changes grouped logically within individual commits. Maintainers find it easier to understand changes that are logically spilled across multiple commits. Try to modify just one or two files in the same directory. Pull requests that span multiple directories are often rejected.
@@ -276,11 +276,11 @@ Common prefixes:
- docs: Documentation changes
- test: Correct existing tests or add new ones
-@subsection autotoc_md29 Pull Requests
+@subsection autotoc_md34 Pull Requests
- Checkout our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.github/pull_request_template.md" target="_blank" >pull request template</a>
-@subsubsection autotoc_md30 Building Locally
+@subsubsection autotoc_md35 Building Locally
Before submitting a pull request,
build the code locally or using the convenient <a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus" target="_blank" ><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code"/></a> service.
@@ -289,7 +289,7 @@ Before submitting a pull request,
cmake -B build -S .
@endcode
-@subsubsection autotoc_md31 Static Code Analyzer
+@subsubsection autotoc_md36 Static Code Analyzer
We use <a href="https://clang.llvm.org/extra/clang-tidy/" target="_blank" ><tt>clang-tidy</tt></a> as a static code analyzer with a configuration in <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.clang-tidy" target="_blank" ><tt>.clang-tidy</tt></a>.
@@ -297,7 +297,7 @@ We use <a href="https://cl
clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
@endcode
-@subsubsection autotoc_md32 Code Formatter
+@subsubsection autotoc_md37 Code Formatter
<a href="https://clang.llvm.org/docs/ClangFormat.html" target="_blank" ><tt>__clang-format__</tt></a> is used for code forrmating.
@@ -308,7 +308,7 @@ clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
- Linux (Debian): <tt>sudo apt-get install clang-format-10 clang-tidy-10</tt>
- Running (all platforms): <tt>clang-format -i -style="file" my_file.cpp</tt>
-@subsubsection autotoc_md33 GitHub Actions
+@subsubsection autotoc_md38 GitHub Actions
- Enable GitHub Actions on your fork of the repository.
After enabling, it will execute <tt>clang-tidy</tt> and <tt>clang-format</tt> after every push (not a commit).
diff --git a/d7/d00/list__array_8cpp.html b/d7/d00/list__array_8cpp.html
index a69160e88..6a0916788 100644
--- a/d7/d00/list__array_8cpp.html
+++ b/d7/d00/list__array_8cpp.html
@@ -137,7 +137,7 @@ Functions
Detailed Description
The list_array is the implementation of list represented using array. We can perform basic CRUD operations as well as other operations like sorting etc.
-
+
Algorithm
It implements various method like insert, sort, search etc. efficiently. You can select the operation and methods will do the rest work for you. You can insert element, sort them in order, search efficiently, delete values and print the list.
Function Documentation
diff --git a/d7/d73/abbreviation_8cpp.html b/d7/d73/abbreviation_8cpp.html
index e0cf42cc2..3e03c7907 100644
--- a/d7/d73/abbreviation_8cpp.html
+++ b/d7/d73/abbreviation_8cpp.html
@@ -140,7 +140,7 @@ Functions
- Capitalize zero or more of
a's lowercase letters.
- Delete all of the remaining lowercase letters in
a.
-
+
Algorithm
The idea is in the problem statement itself: iterate through characters of string a and b (for character indexes i and j respectively):
- If
a[i] and b[j] are equal, then move to next position
diff --git a/d8/d7a/sha1_8cpp.html b/d8/d7a/sha1_8cpp.html
index dd3ce6d9a..9639a6151 100644
--- a/d8/d7a/sha1_8cpp.html
+++ b/d8/d7a/sha1_8cpp.html
@@ -150,7 +150,7 @@ Functions
Simple C++ implementation of the SHA-1 Hashing Algorithm
SHA-1 is a cryptographic hash function that was developped by the NSA 1995. SHA-1 is not considered secure since around 2010.
-
+
Algorithm
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
Once this is done, the algo breaks down this padded message into 64 bytes chunks. Each chunk is used for one round, a round breaks the chunk into 16 blocks of 4 bytes. These 16 blocks are then extended to 80 blocks using XOR operations on existing blocks (see code for more details). The algorithm will then update its 160-bit state (here represented used 5 32-bits integer) using partial hashes computed using special functions on the blocks previously built. Please take a look at the wikipedia article for more precision on these operations
- Note
- This is a simple implementation for a byte string but some implmenetations can work on bytestream, messages of unknown length.
diff --git a/d8/d90/iterative__tree__traversals_8cpp.html b/d8/d90/iterative__tree__traversals_8cpp.html
index 5132641bc..3d044db01 100644
--- a/d8/d90/iterative__tree__traversals_8cpp.html
+++ b/d8/d90/iterative__tree__traversals_8cpp.html
@@ -157,13 +157,13 @@ Functions
Detailed Description
Iterative version of Preorder, Postorder, and preorder Traversal of the Tree
-
+
Iterative Preorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first right child then left child. Repeat the same set of steps untill the Stack becomes empty. And return the result array as the preorder traversal of a tree.
-
+
Iterative Postorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first left child then right child. Repeat the same set of steps untill the Stack becomes empty. Now reverse the result array and then return it to the calling function as a postorder traversal of a tree.
-
+
Iterative Inorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current. Now iterate and take the current to the extreme left of the tree by traversing only to its left. Pop the elemnt from the stack and assign it to the current. Store the data of current into the result array. Repeat the same set of steps until the Stack becomes empty or the current becomes NULL. And return the result array as the inorder traversal of a tree.
Function Documentation
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index 832d10ae4..7dd093685 100644
--- a/d8/d99/connected__components__with__dsu_8cpp.html
+++ b/d8/d99/connected__components__with__dsu_8cpp.html
@@ -155,7 +155,7 @@ uint32_t graph::disjoint_u
Detailed Description
The Disjoint union is the technique to find connected component in graph efficiently.
-
+
Algorithm
In Graph, if you have to find out the number of connected components, there are 2 options
- Depth first search
diff --git a/d8/df0/queue__using__array_8cpp.html b/d8/df0/queue__using__array_8cpp.html
index 81cef09a0..e7d7bce2e 100644
--- a/d8/df0/queue__using__array_8cpp.html
+++ b/d8/df0/queue__using__array_8cpp.html
@@ -140,7 +140,7 @@ Variables
Detailed Description
Implementation of Linear Queue using array.
The Linear Queue is a data structure used for holding a sequence of values, which can be added to the end line (enqueue), removed from head of line (dequeue) and displayed.
-
+
Algorithm
Values can be added by increasing the rear variable by 1 (which points to the end of the array), then assigning new value to rear's element of the array.
Values can be removed by increasing the front variable by 1 (which points to the first of the array), so it cannot reached any more.
diff --git a/da/d52/minimum__edit__distance_8cpp.html b/da/d52/minimum__edit__distance_8cpp.html
index 31ac30d22..e639a34e2 100644
--- a/da/d52/minimum__edit__distance_8cpp.html
+++ b/da/d52/minimum__edit__distance_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of Minimum Edit Distance using Dynamic Programing.
Given two strings str1 & str2 and we have to calculate the minimum number of operations (Insert, Remove, Replace) required to convert str1 to str2.
-
+
Algorithm
We will solve this problem using Naive recursion. But as we are approaching with a DP solution. So, we will take a DP array to store the solution of all sub-problems so that we don't have to perform recursion again and again. Now to solve the problem, We can traverse all characters from either right side of the strings or left side. Suppose we will do it from the right side. So, there are two possibilities for every pair of characters being traversed.
- If the last characters of two strings are the same, Ignore the characters and get the count for the remaining string. So, we get the solution for lengths m-1 and n-1 in a DP array.
diff --git a/da/dc3/linked__list_8cpp.html b/da/dc3/linked__list_8cpp.html
index 696dd6053..f585e3036 100644
--- a/da/dc3/linked__list_8cpp.html
+++ b/da/dc3/linked__list_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of singly linked list algorithm.
The linked list is a data structure used for holding a sequence of values, which can be added, removed and displayed.
-
+
Algorithm
Values can be added by iterating to the end of a list(by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Values can be removed by also iterating through the list. When the node containing the value is found, the node pointing to the current node is made to point to the node that the current node is pointing to, and then returning the current node to heap store.
diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html
index 477437e99..e11f924c2 100644
--- a/db/d16/0__1__knapsack_8cpp.html
+++ b/db/d16/0__1__knapsack_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of 0-1 Knapsack Problem
Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)
-
+
Algorithm
The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than W. From all such subsets, pick the maximum value subset.
- Author
- Anmol
diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html
index 94aed415f..3f86ebe15 100644
--- a/db/dca/kadane2_8cpp.html
+++ b/db/dca/kadane2_8cpp.html
@@ -131,7 +131,7 @@ Functions
Detailed Description
Implementation of Kadane Algorithm
Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum
-
+
Algorithm
The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum
diff --git a/dc/d64/md__coding_guidelines.html b/dc/d64/md__coding_guidelines.html
index 53ab64545..3cab0ad5a 100644
--- a/dc/d64/md__coding_guidelines.html
+++ b/dc/d64/md__coding_guidelines.html
@@ -96,14 +96,14 @@ $(document).ready(function(){initNavTree('dc/d64/md__coding_guidelines.html','..
Please orient on this guide before you sent a pull request.
-
+
User-interface
Please write a simple user interface for your programs. Not a blinking cursor!
What does the program do?
What want the program an user informations?
-
+
Code style conventions
See here
Don't push all code in one line!
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index d566612db..851a02a78 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -209,7 +209,7 @@ Functions
Mathematical algorithms
Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is f(n) = f(n-1) + f(n-2) where f(0) = 0 and f(1) = 1. Note that the method used only demonstrates recurrence relation with one variable (n), unlike nCr problem, since it has two (n, r)
-
+
Algorithm
This problem can be solved using matrix exponentiation method.
- See also
- here for simple number exponentiation algorithm or explaination here.
diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html
index 75155b9a9..02281e7af 100644
--- a/df/d66/vector__cross__product_8cpp.html
+++ b/df/d66/vector__cross__product_8cpp.html
@@ -144,7 +144,7 @@ Functions
The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)
Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.
Magnitude of a vector is the square root of the sum of the squares of the direction ratios.
-
+
Example:
An example of a running instance of the executable program:
Pass the first Vector: 1 2 3
Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847
diff --git a/index.html b/index.html
index bc40a6ccb..22cbdb5e0 100644
--- a/index.html
+++ b/index.html
@@ -95,10 +95,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
-
+
Overview
This repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. These algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.
-
+
Features
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++.
@@ -109,12 +109,12 @@ Features
- Self-checks within programs ensure correct implementations with confidence.
- Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.
-
+
Documentation
Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.
Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
-
+
Contributions
As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.
diff --git a/navtreedata.js b/navtreedata.js
index ac142b181..46f7829cd 100644
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};
However MD5 has be know to be cryptographically weak for quite some time, yet it is still widely used. This weakness was exploited by the Flame Malware in 2012
-
+
Algorithm
First of all, all values are expected to be in little endian. This is especially important when using part of the bytestring as an integer.
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html index 36066dc66..98c1ebbba 100644 --- a/d5/ddb/bogo__sort_8cpp.html +++ b/d5/ddb/bogo__sort_8cpp.html @@ -135,7 +135,7 @@ FunctionsDetailed Description
Implementation of Bogosort algorithm
In computer science, bogosort (also known as permutation sort, stupid sort, slowsort, shotgun sort, random sort, monkey sort, bobosort or shuffle sort) is a highly inefficient sorting algorithm based on the generate and test paradigm. Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.Randomized version is implemented here.
-
+
Algorithm
Shuffle the array untill array is sorted.
diff --git a/d6/d05/reverse__a__linked__list_8cpp.html b/d6/d05/reverse__a__linked__list_8cpp.html index 823f916bf..61649c3f6 100644 --- a/d6/d05/reverse__a__linked__list_8cpp.html +++ b/d6/d05/reverse__a__linked__list_8cpp.html @@ -139,7 +139,7 @@ FunctionsDetailed Description
Implementation of Reversing a single linked list
The linked list is a data structure used for holding a sequence of values, which can be added, displayed, reversed, or removed.
-
+
Algorithm
Values can be added by iterating to the end of a list (by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Linked List can be reversed by using 3 pointers: current, previous, and next_node; we keep iterating until the last node. Meanwhile, before changing to the next of current, we store it in the next_node pointer, now we store the prev pointer in the current of next, this is where the actual reversal happens. And then we move the prev and current pointers one step forward. Then the head node is made to point to the last node (prev pointer) after completion of an iteration.
diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html index 1bdecfa29..9010be663 100644 --- a/d6/d10/cut__rod_8cpp.html +++ b/d6/d10/cut__rod_8cpp.html @@ -135,7 +135,7 @@ FunctionsDetailed Description
Implementation of cutting a rod problem.
Given a rod of length n inches and an array of prices that contains prices of all pieces of size<=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.
-
+
Algorithm
The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.
-
+
+
Before contributing
Welcome to TheAlgorithms/C-Plus-Plus! Before submitting pull requests, please make sure that you have read the whole guidelines. If you have any doubts about this contribution guide, please open an issue or ask in our Discord server, and clearly state your concerns.
-
+
Contributing
-
+
Maintainer/reviewer
Please check the reviewer code file for maintainers and reviewers.
-
+
Contributor
Being a contributor at The Algorithms, we request you to follow the points mentioned below:
@@ -116,9 +116,9 @@ Contributor
You can add new algorithms or data structures which are not present in the repository or that can improve the old implementations (documentation, improving test cases, removing bugs or in any other resonable sense)
Issues Please avoid opening issues asking to be "assigned” to a particular algorithm. This merely creates unnecessary noise for maintainers. Instead, please submit your implementation in a pull request, and it will be evaluated by project maintainers.
-@subsection autotoc_md21 Making Changes
+@subsection autotoc_md26 Making Changes
-@subsubsection autotoc_md22 Code
+@subsubsection autotoc_md27 Code
- Please use the directory structure of the repository.
- Make sure the file extensions should be <tt>*.hpp</tt>, <tt>*.h</tt> or <tt>*.cpp</tt>.
@@ -132,7 +132,7 @@ Contributor
- Please conform to <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standard and document the code as much as possible. This not only facilitates the readers but also generates the correct info on the website.
- <strong>Be consistent in the use of these guidelines.</strong>
-@subsubsection autotoc_md23 Documentation
+@subsubsection autotoc_md28 Documentation
- Make sure you put useful comments in your code. Do not comment on obvious things.
- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure. If you want to create a new directory, then please check if a similar category has been recently suggested or created by other pull requests.
@@ -140,13 +140,13 @@ Contributor
- Do not update <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a> along with other changes. First, create an issue and then link to that issue in your pull request to suggest specific changes required to <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a>.
- The repository follows <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standards and auto-generates the <a href="https://thealgorithms.github.io/C-Plus-Plus" target="_blank" >repository website</a>. Please ensure the code is documented in this structure. A sample implementation is given below.
-@subsubsection autotoc_md24 Test
+@subsubsection autotoc_md29 Test
- Make sure to add examples and test cases in your <tt>main()</tt> function.
- If you find an algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes.
- Please try to add one or more <tt>test()</tt> functions that will invoke the algorithm implementation on random test data with the expected output. Use the <tt>assert()</tt> function to confirm that the tests will pass. Requires including the <tt>cassert</tt> library.
-@subsubsection autotoc_md25 Typical structure of a program
+@subsubsection autotoc_md30 Typical structure of a program
@code{cpp}
/**
@@ -223,7 +223,7 @@ int main(int argc, char *argv[]) {
}
@endcode
-@subsubsection autotoc_md26 New File Name guidelines
+@subsubsection autotoc_md31 New File Name guidelines
- Use lowercase words with <tt>"_"</tt> as a separator
- For instance
@@ -237,7 +237,7 @@ my_new_cpp_class.cpp is correct format
- File name validation will run on Docker to ensure validity.
- If an implementation of the algorithm already exists and your version is different from that implemented, please use incremental numeric digit as a suffix. For example: if <tt>median_search.cpp</tt> already exists in the <tt>search</tt> folder, and you are contributing a new implementation, the filename should be <tt>median_search2.cpp</tt> and for a third implementation, <tt>median_search3.cpp</tt>.
-@subsubsection autotoc_md27 New Directory guidelines
+@subsubsection autotoc_md32 New Directory guidelines
- We recommend adding files to existing directories as much as possible.
- Use lowercase words with <tt>"_"</tt> as separator ( no spaces or <tt>"-"</tt> allowed )
@@ -251,7 +251,7 @@ some_new_fancy_category is correct
- Filepaths will be used to dynamically create a directory of our algorithms.
- Filepath validation will run on GitHub Actions to ensure compliance.
-@subsubsection autotoc_md28 Commit Guidelines
+@subsubsection autotoc_md33 Commit Guidelines
- It is recommended to keep your changes grouped logically within individual commits. Maintainers find it easier to understand changes that are logically spilled across multiple commits. Try to modify just one or two files in the same directory. Pull requests that span multiple directories are often rejected.
@@ -276,11 +276,11 @@ Common prefixes:
- docs: Documentation changes
- test: Correct existing tests or add new ones
-@subsection autotoc_md29 Pull Requests
+@subsection autotoc_md34 Pull Requests
- Checkout our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.github/pull_request_template.md" target="_blank" >pull request template</a>
-@subsubsection autotoc_md30 Building Locally
+@subsubsection autotoc_md35 Building Locally
Before submitting a pull request,
build the code locally or using the convenient <a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus" target="_blank" ><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code"/></a> service.
@@ -289,7 +289,7 @@ Before submitting a pull request,
cmake -B build -S .
@endcode
-@subsubsection autotoc_md31 Static Code Analyzer
+@subsubsection autotoc_md36 Static Code Analyzer
We use <a href="https://clang.llvm.org/extra/clang-tidy/" target="_blank" ><tt>clang-tidy</tt></a> as a static code analyzer with a configuration in <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.clang-tidy" target="_blank" ><tt>.clang-tidy</tt></a>.
@@ -297,7 +297,7 @@ We use <a href="https://cl
clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
@endcode
-@subsubsection autotoc_md32 Code Formatter
+@subsubsection autotoc_md37 Code Formatter
<a href="https://clang.llvm.org/docs/ClangFormat.html" target="_blank" ><tt>__clang-format__</tt></a> is used for code forrmating.
@@ -308,7 +308,7 @@ clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp --
- Linux (Debian): <tt>sudo apt-get install clang-format-10 clang-tidy-10</tt>
- Running (all platforms): <tt>clang-format -i -style="file" my_file.cpp</tt>
-@subsubsection autotoc_md33 GitHub Actions
+@subsubsection autotoc_md38 GitHub Actions
- Enable GitHub Actions on your fork of the repository.
After enabling, it will execute <tt>clang-tidy</tt> and <tt>clang-format</tt> after every push (not a commit).
diff --git a/d7/d00/list__array_8cpp.html b/d7/d00/list__array_8cpp.html
index a69160e88..6a0916788 100644
--- a/d7/d00/list__array_8cpp.html
+++ b/d7/d00/list__array_8cpp.html
@@ -137,7 +137,7 @@ Functions
Detailed Description
The list_array is the implementation of list represented using array. We can perform basic CRUD operations as well as other operations like sorting etc.
-
+
Algorithm
It implements various method like insert, sort, search etc. efficiently. You can select the operation and methods will do the rest work for you. You can insert element, sort them in order, search efficiently, delete values and print the list.
Function Documentation
diff --git a/d7/d73/abbreviation_8cpp.html b/d7/d73/abbreviation_8cpp.html
index e0cf42cc2..3e03c7907 100644
--- a/d7/d73/abbreviation_8cpp.html
+++ b/d7/d73/abbreviation_8cpp.html
@@ -140,7 +140,7 @@ Functions
- Capitalize zero or more of
a's lowercase letters.
- Delete all of the remaining lowercase letters in
a.
-
+
Algorithm
The idea is in the problem statement itself: iterate through characters of string a and b (for character indexes i and j respectively):
- If
a[i] and b[j] are equal, then move to next position
diff --git a/d8/d7a/sha1_8cpp.html b/d8/d7a/sha1_8cpp.html
index dd3ce6d9a..9639a6151 100644
--- a/d8/d7a/sha1_8cpp.html
+++ b/d8/d7a/sha1_8cpp.html
@@ -150,7 +150,7 @@ Functions
Simple C++ implementation of the SHA-1 Hashing Algorithm
SHA-1 is a cryptographic hash function that was developped by the NSA 1995. SHA-1 is not considered secure since around 2010.
-
+
Algorithm
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
Once this is done, the algo breaks down this padded message into 64 bytes chunks. Each chunk is used for one round, a round breaks the chunk into 16 blocks of 4 bytes. These 16 blocks are then extended to 80 blocks using XOR operations on existing blocks (see code for more details). The algorithm will then update its 160-bit state (here represented used 5 32-bits integer) using partial hashes computed using special functions on the blocks previously built. Please take a look at the wikipedia article for more precision on these operations
- Note
- This is a simple implementation for a byte string but some implmenetations can work on bytestream, messages of unknown length.
diff --git a/d8/d90/iterative__tree__traversals_8cpp.html b/d8/d90/iterative__tree__traversals_8cpp.html
index 5132641bc..3d044db01 100644
--- a/d8/d90/iterative__tree__traversals_8cpp.html
+++ b/d8/d90/iterative__tree__traversals_8cpp.html
@@ -157,13 +157,13 @@ Functions
Detailed Description
Iterative version of Preorder, Postorder, and preorder Traversal of the Tree
-
+
Iterative Preorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first right child then left child. Repeat the same set of steps untill the Stack becomes empty. And return the result array as the preorder traversal of a tree.
-
+
Iterative Postorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first left child then right child. Repeat the same set of steps untill the Stack becomes empty. Now reverse the result array and then return it to the calling function as a postorder traversal of a tree.
-
+
Iterative Inorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current. Now iterate and take the current to the extreme left of the tree by traversing only to its left. Pop the elemnt from the stack and assign it to the current. Store the data of current into the result array. Repeat the same set of steps until the Stack becomes empty or the current becomes NULL. And return the result array as the inorder traversal of a tree.
Function Documentation
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index 832d10ae4..7dd093685 100644
--- a/d8/d99/connected__components__with__dsu_8cpp.html
+++ b/d8/d99/connected__components__with__dsu_8cpp.html
@@ -155,7 +155,7 @@ uint32_t graph::disjoint_u
Detailed Description
The Disjoint union is the technique to find connected component in graph efficiently.
-
+
Algorithm
In Graph, if you have to find out the number of connected components, there are 2 options
- Depth first search
diff --git a/d8/df0/queue__using__array_8cpp.html b/d8/df0/queue__using__array_8cpp.html
index 81cef09a0..e7d7bce2e 100644
--- a/d8/df0/queue__using__array_8cpp.html
+++ b/d8/df0/queue__using__array_8cpp.html
@@ -140,7 +140,7 @@ Variables
Detailed Description
Implementation of Linear Queue using array.
The Linear Queue is a data structure used for holding a sequence of values, which can be added to the end line (enqueue), removed from head of line (dequeue) and displayed.
-
+
Algorithm
Values can be added by increasing the rear variable by 1 (which points to the end of the array), then assigning new value to rear's element of the array.
Values can be removed by increasing the front variable by 1 (which points to the first of the array), so it cannot reached any more.
diff --git a/da/d52/minimum__edit__distance_8cpp.html b/da/d52/minimum__edit__distance_8cpp.html
index 31ac30d22..e639a34e2 100644
--- a/da/d52/minimum__edit__distance_8cpp.html
+++ b/da/d52/minimum__edit__distance_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of Minimum Edit Distance using Dynamic Programing.
Given two strings str1 & str2 and we have to calculate the minimum number of operations (Insert, Remove, Replace) required to convert str1 to str2.
-
+
Algorithm
We will solve this problem using Naive recursion. But as we are approaching with a DP solution. So, we will take a DP array to store the solution of all sub-problems so that we don't have to perform recursion again and again. Now to solve the problem, We can traverse all characters from either right side of the strings or left side. Suppose we will do it from the right side. So, there are two possibilities for every pair of characters being traversed.
- If the last characters of two strings are the same, Ignore the characters and get the count for the remaining string. So, we get the solution for lengths m-1 and n-1 in a DP array.
diff --git a/da/dc3/linked__list_8cpp.html b/da/dc3/linked__list_8cpp.html
index 696dd6053..f585e3036 100644
--- a/da/dc3/linked__list_8cpp.html
+++ b/da/dc3/linked__list_8cpp.html
@@ -136,7 +136,7 @@ Functions
Detailed Description
Implementation of singly linked list algorithm.
The linked list is a data structure used for holding a sequence of values, which can be added, removed and displayed.
-
+
Algorithm
Values can be added by iterating to the end of a list(by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Values can be removed by also iterating through the list. When the node containing the value is found, the node pointing to the current node is made to point to the node that the current node is pointing to, and then returning the current node to heap store.
diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html
index 477437e99..e11f924c2 100644
--- a/db/d16/0__1__knapsack_8cpp.html
+++ b/db/d16/0__1__knapsack_8cpp.html
@@ -135,7 +135,7 @@ Functions
Detailed Description
Implementation of 0-1 Knapsack Problem
Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)
-
+
Algorithm
The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than W. From all such subsets, pick the maximum value subset.
- Author
- Anmol
diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html
index 94aed415f..3f86ebe15 100644
--- a/db/dca/kadane2_8cpp.html
+++ b/db/dca/kadane2_8cpp.html
@@ -131,7 +131,7 @@ Functions
Detailed Description
Implementation of Kadane Algorithm
Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum
-
+
Algorithm
The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum
diff --git a/dc/d64/md__coding_guidelines.html b/dc/d64/md__coding_guidelines.html
index 53ab64545..3cab0ad5a 100644
--- a/dc/d64/md__coding_guidelines.html
+++ b/dc/d64/md__coding_guidelines.html
@@ -96,14 +96,14 @@ $(document).ready(function(){initNavTree('dc/d64/md__coding_guidelines.html','..
Please orient on this guide before you sent a pull request.
-
+
User-interface
Please write a simple user interface for your programs. Not a blinking cursor!
What does the program do?
What want the program an user informations?
-
+
Code style conventions
See here
Don't push all code in one line!
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index d566612db..851a02a78 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -209,7 +209,7 @@ Functions
Mathematical algorithms
Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is f(n) = f(n-1) + f(n-2) where f(0) = 0 and f(1) = 1. Note that the method used only demonstrates recurrence relation with one variable (n), unlike nCr problem, since it has two (n, r)
-
+
Algorithm
This problem can be solved using matrix exponentiation method.
- See also
- here for simple number exponentiation algorithm or explaination here.
diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html
index 75155b9a9..02281e7af 100644
--- a/df/d66/vector__cross__product_8cpp.html
+++ b/df/d66/vector__cross__product_8cpp.html
@@ -144,7 +144,7 @@ Functions
The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)
Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.
Magnitude of a vector is the square root of the sum of the squares of the direction ratios.
-
+
Example:
An example of a running instance of the executable program:
Pass the first Vector: 1 2 3
Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847
diff --git a/index.html b/index.html
index bc40a6ccb..22cbdb5e0 100644
--- a/index.html
+++ b/index.html
@@ -95,10 +95,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
-
+
Overview
This repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. These algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.
-
+
Features
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++.
@@ -109,12 +109,12 @@ Features
- Self-checks within programs ensure correct implementations with confidence.
- Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications.
-
+
Documentation
Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.
Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
-
+
Contributions
As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.
diff --git a/navtreedata.js b/navtreedata.js
index ac142b181..46f7829cd 100644
--- a/navtreedata.js
+++ b/navtreedata.js
@@ -26,68 +26,74 @@ var NAVTREE =
[
[ "Algorithms_in_C++", "index.html", [
[ "The Algorithms - C++", "index.html", [
- [ "Overview", "index.html#autotoc_md93", null ],
- [ "Features", "index.html#autotoc_md94", null ],
- [ "Documentation", "index.html#autotoc_md95", null ],
- [ "Contributions", "index.html#autotoc_md96", null ]
+ [ "Overview", "index.html#autotoc_md98", null ],
+ [ "Features", "index.html#autotoc_md99", null ],
+ [ "Documentation", "index.html#autotoc_md100", null ],
+ [ "Contributions", "index.html#autotoc_md101", null ]
] ],
[ "Contributor Covenant Code of Conduct", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html", [
[ "Our Pledge", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md5", null ],
[ "Our Standards", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md6", null ],
- [ "Our Responsibilities", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md7", null ],
+ [ "Enforcement Responsibilities", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html#autotoc_md7", null ],
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+ [ "Code style conventions", "dc/d64/md__coding_guidelines.html#autotoc_md20", null ]
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- [ "Commit Guidelines", "d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html#autotoc_md28", null ]
+ [ "Before contributing", "d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html#autotoc_md22", null ],
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+ [ "New Directory guidelines", "d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html#autotoc_md32", null ],
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Before contributing
Welcome to TheAlgorithms/C-Plus-Plus! Before submitting pull requests, please make sure that you have read the whole guidelines. If you have any doubts about this contribution guide, please open an issue or ask in our Discord server, and clearly state your concerns.
-
+
Contributing
-
+
Maintainer/reviewer
Maintainer/reviewer
Please check the reviewer code file for maintainers and reviewers.
-
+
Contributor
Being a contributor at The Algorithms, we request you to follow the points mentioned below:
-
@@ -116,9 +116,9 @@ Contributor
- Capitalize zero or more of
a's lowercase letters. - Delete all of the remaining lowercase letters in
a.
- - If
a[i]andb[j]are equal, then move to next position
diff --git a/d8/d7a/sha1_8cpp.html b/d8/d7a/sha1_8cpp.html
index dd3ce6d9a..9639a6151 100644
--- a/d8/d7a/sha1_8cpp.html
+++ b/d8/d7a/sha1_8cpp.html
@@ -150,7 +150,7 @@ Functions
- Note
- This is a simple implementation for a byte string but some implmenetations can work on bytestream, messages of unknown length.
- Depth first search diff --git a/d8/df0/queue__using__array_8cpp.html b/d8/df0/queue__using__array_8cpp.html index 81cef09a0..e7d7bce2e 100644 --- a/d8/df0/queue__using__array_8cpp.html +++ b/d8/df0/queue__using__array_8cpp.html @@ -140,7 +140,7 @@ Variables
- If the last characters of two strings are the same, Ignore the characters and get the count for the remaining string. So, we get the solution for lengths m-1 and n-1 in a DP array. diff --git a/da/dc3/linked__list_8cpp.html b/da/dc3/linked__list_8cpp.html index 696dd6053..f585e3036 100644 --- a/da/dc3/linked__list_8cpp.html +++ b/da/dc3/linked__list_8cpp.html @@ -136,7 +136,7 @@ Functions
- Author
- Anmol diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html index 94aed415f..3f86ebe15 100644 --- a/db/dca/kadane2_8cpp.html +++ b/db/dca/kadane2_8cpp.html @@ -131,7 +131,7 @@ Functions
- See also
- here for simple number exponentiation algorithm or explaination here.
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++. @@ -109,12 +109,12 @@ Features
- Self-checks within programs ensure correct implementations with confidence.
- Modular implementations and OpenSource licensing enable the functions to be utilized conveniently in other applications. -
You can add new algorithms or data structures which are not present in the repository or that can improve the old implementations (documentation, improving test cases, removing bugs or in any other resonable sense)
Issues Please avoid opening issues asking to be "assigned” to a particular algorithm. This merely creates unnecessary noise for maintainers. Instead, please submit your implementation in a pull request, and it will be evaluated by project maintainers. -@subsection autotoc_md21 Making Changes +@subsection autotoc_md26 Making Changes -@subsubsection autotoc_md22 Code +@subsubsection autotoc_md27 Code - Please use the directory structure of the repository. - Make sure the file extensions should be <tt>*.hpp</tt>, <tt>*.h</tt> or <tt>*.cpp</tt>. @@ -132,7 +132,7 @@ Contributor - Please conform to <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standard and document the code as much as possible. This not only facilitates the readers but also generates the correct info on the website. - <strong>Be consistent in the use of these guidelines.</strong> -@subsubsection autotoc_md23 Documentation +@subsubsection autotoc_md28 Documentation - Make sure you put useful comments in your code. Do not comment on obvious things. - Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure. If you want to create a new directory, then please check if a similar category has been recently suggested or created by other pull requests. @@ -140,13 +140,13 @@ Contributor - Do not update <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a> along with other changes. First, create an issue and then link to that issue in your pull request to suggest specific changes required to <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/README.md" target="_blank" ><tt>README.md</tt></a>. - The repository follows <a href="https://www.doxygen.nl/manual/docblocks.html" target="_blank" >Doxygen</a> standards and auto-generates the <a href="https://thealgorithms.github.io/C-Plus-Plus" target="_blank" >repository website</a>. Please ensure the code is documented in this structure. A sample implementation is given below. -@subsubsection autotoc_md24 Test +@subsubsection autotoc_md29 Test - Make sure to add examples and test cases in your <tt>main()</tt> function. - If you find an algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes. - Please try to add one or more <tt>test()</tt> functions that will invoke the algorithm implementation on random test data with the expected output. Use the <tt>assert()</tt> function to confirm that the tests will pass. Requires including the <tt>cassert</tt> library. -@subsubsection autotoc_md25 Typical structure of a program +@subsubsection autotoc_md30 Typical structure of a program @code{cpp} /** @@ -223,7 +223,7 @@ int main(int argc, char *argv[]) { } @endcode -@subsubsection autotoc_md26 New File Name guidelines +@subsubsection autotoc_md31 New File Name guidelines - Use lowercase words with <tt>"_"</tt> as a separator - For instance @@ -237,7 +237,7 @@ my_new_cpp_class.cpp is correct format - File name validation will run on Docker to ensure validity. - If an implementation of the algorithm already exists and your version is different from that implemented, please use incremental numeric digit as a suffix. For example: if <tt>median_search.cpp</tt> already exists in the <tt>search</tt> folder, and you are contributing a new implementation, the filename should be <tt>median_search2.cpp</tt> and for a third implementation, <tt>median_search3.cpp</tt>. -@subsubsection autotoc_md27 New Directory guidelines +@subsubsection autotoc_md32 New Directory guidelines - We recommend adding files to existing directories as much as possible. - Use lowercase words with <tt>"_"</tt> as separator ( no spaces or <tt>"-"</tt> allowed ) @@ -251,7 +251,7 @@ some_new_fancy_category is correct - Filepaths will be used to dynamically create a directory of our algorithms. - Filepath validation will run on GitHub Actions to ensure compliance. -@subsubsection autotoc_md28 Commit Guidelines +@subsubsection autotoc_md33 Commit Guidelines - It is recommended to keep your changes grouped logically within individual commits. Maintainers find it easier to understand changes that are logically spilled across multiple commits. Try to modify just one or two files in the same directory. Pull requests that span multiple directories are often rejected. @@ -276,11 +276,11 @@ Common prefixes: - docs: Documentation changes - test: Correct existing tests or add new ones -@subsection autotoc_md29 Pull Requests +@subsection autotoc_md34 Pull Requests - Checkout our <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.github/pull_request_template.md" target="_blank" >pull request template</a> -@subsubsection autotoc_md30 Building Locally +@subsubsection autotoc_md35 Building Locally Before submitting a pull request, build the code locally or using the convenient <a href="https://gitpod.io/#https://github.com/TheAlgorithms/C-Plus-Plus" target="_blank" ><img src="https://img.shields.io/badge/Gitpod-Ready--to--Code-blue?logo=gitpod" alt="Gitpod Ready-to-Code"/></a> service. @@ -289,7 +289,7 @@ Before submitting a pull request, cmake -B build -S . @endcode -@subsubsection autotoc_md31 Static Code Analyzer +@subsubsection autotoc_md36 Static Code Analyzer We use <a href="https://clang.llvm.org/extra/clang-tidy/" target="_blank" ><tt>clang-tidy</tt></a> as a static code analyzer with a configuration in <a href="https://github.com/TheAlgorithms/C-Plus-Plus/blob/master/.clang-tidy" target="_blank" ><tt>.clang-tidy</tt></a>. @@ -297,7 +297,7 @@ We use <a href="https://cl clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp -- @endcode -@subsubsection autotoc_md32 Code Formatter +@subsubsection autotoc_md37 Code Formatter <a href="https://clang.llvm.org/docs/ClangFormat.html" target="_blank" ><tt>__clang-format__</tt></a> is used for code forrmating. @@ -308,7 +308,7 @@ clang-tidy --fix --quiet -p build subfolder/file_to_check.cpp -- - Linux (Debian): <tt>sudo apt-get install clang-format-10 clang-tidy-10</tt> - Running (all platforms): <tt>clang-format -i -style="file" my_file.cpp</tt> -@subsubsection autotoc_md33 GitHub Actions +@subsubsection autotoc_md38 GitHub Actions - Enable GitHub Actions on your fork of the repository. After enabling, it will execute <tt>clang-tidy</tt> and <tt>clang-format</tt> after every push (not a commit). diff --git a/d7/d00/list__array_8cpp.html b/d7/d00/list__array_8cpp.html index a69160e88..6a0916788 100644 --- a/d7/d00/list__array_8cpp.html +++ b/d7/d00/list__array_8cpp.html @@ -137,7 +137,7 @@ Functions
Detailed Description
The list_array is the implementation of list represented using array. We can perform basic CRUD operations as well as other operations like sorting etc.
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Algorithm
It implements various method like insert, sort, search etc. efficiently. You can select the operation and methods will do the rest work for you. You can insert element, sort them in order, search efficiently, delete values and print the list.
Function Documentation
diff --git a/d7/d73/abbreviation_8cpp.html b/d7/d73/abbreviation_8cpp.html index e0cf42cc2..3e03c7907 100644 --- a/d7/d73/abbreviation_8cpp.html +++ b/d7/d73/abbreviation_8cpp.html @@ -140,7 +140,7 @@ Functions
+
Algorithm
The idea is in the problem statement itself: iterate through characters of string a and b (for character indexes i and j respectively):
Simple C++ implementation of the SHA-1 Hashing Algorithm
SHA-1 is a cryptographic hash function that was developped by the NSA 1995. SHA-1 is not considered secure since around 2010.
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Algorithm
The first step of the algorithm is to pad the message for its length to be a multiple of 64 (bytes). This is done by first adding 0x80 (10000000) and then only zeroes until the last 8 bytes must be filled, where then the 64 bit size of the input will be added
Once this is done, the algo breaks down this padded message into 64 bytes chunks. Each chunk is used for one round, a round breaks the chunk into 16 blocks of 4 bytes. These 16 blocks are then extended to 80 blocks using XOR operations on existing blocks (see code for more details). The algorithm will then update its 160-bit state (here represented used 5 32-bits integer) using partial hashes computed using special functions on the blocks previously built. Please take a look at the wikipedia article for more precision on these operations
Detailed Description
Iterative version of Preorder, Postorder, and preorder Traversal of the Tree
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Iterative Preorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first right child then left child. Repeat the same set of steps untill the Stack becomes empty. And return the result array as the preorder traversal of a tree.
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Iterative Postorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current, and pop and elemnt from the stack. Store the data of current into the result array, and start traversing from it. Push both the child node of the current node into the stack, first left child then right child. Repeat the same set of steps untill the Stack becomes empty. Now reverse the result array and then return it to the calling function as a postorder traversal of a tree.
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Iterative Inorder Traversal of a tree
Create a Stack that will store the Node of Tree. Push the root node into the stack. Save the root into the variabe named as current. Now iterate and take the current to the extreme left of the tree by traversing only to its left. Pop the elemnt from the stack and assign it to the current. Store the data of current into the result array. Repeat the same set of steps until the Stack becomes empty or the current becomes NULL. And return the result array as the inorder traversal of a tree.
Function Documentation
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html index 832d10ae4..7dd093685 100644 --- a/d8/d99/connected__components__with__dsu_8cpp.html +++ b/d8/d99/connected__components__with__dsu_8cpp.html @@ -155,7 +155,7 @@ uint32_tDetailed Description
The Disjoint union is the technique to find connected component in graph efficiently.
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Algorithm
In Graph, if you have to find out the number of connected components, there are 2 options
Detailed Description
Implementation of Linear Queue using array.
The Linear Queue is a data structure used for holding a sequence of values, which can be added to the end line (enqueue), removed from head of line (dequeue) and displayed.
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Algorithm
Values can be added by increasing the rear variable by 1 (which points to the end of the array), then assigning new value to rear's element of the array.
Values can be removed by increasing the front variable by 1 (which points to the first of the array), so it cannot reached any more.
Detailed Description
Implementation of Minimum Edit Distance using Dynamic Programing.
Given two strings str1 & str2 and we have to calculate the minimum number of operations (Insert, Remove, Replace) required to convert str1 to str2.
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Algorithm
We will solve this problem using Naive recursion. But as we are approaching with a DP solution. So, we will take a DP array to store the solution of all sub-problems so that we don't have to perform recursion again and again. Now to solve the problem, We can traverse all characters from either right side of the strings or left side. Suppose we will do it from the right side. So, there are two possibilities for every pair of characters being traversed.
Detailed Description
Implementation of singly linked list algorithm.
The linked list is a data structure used for holding a sequence of values, which can be added, removed and displayed.
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Algorithm
Values can be added by iterating to the end of a list(by following the pointers) starting from the first link. Whichever link points to null is considered the last link and is pointed to the new value.
Values can be removed by also iterating through the list. When the node containing the value is found, the node pointing to the current node is made to point to the node that the current node is pointing to, and then returning the current node to heap store.
diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html index 477437e99..e11f924c2 100644 --- a/db/d16/0__1__knapsack_8cpp.html +++ b/db/d16/0__1__knapsack_8cpp.html @@ -135,7 +135,7 @@ FunctionsDetailed Description
Implementation of 0-1 Knapsack Problem
Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. In other words, given two integer arrays val[0..n-1] and wt[0..n-1] which represent values and weights associated with n items respectively. Also given an integer W which represents knapsack capacity, find out the maximum value subset of val[] such that sum of the weights of this subset is smaller than or equal to W. You cannot break an item, either pick the complete item or don’t pick it (0-1 property)
+
Algorithm
The idea is to consider all subsets of items and calculate the total weight and value of all subsets. Consider the only subsets whose total weight is smaller than W. From all such subsets, pick the maximum value subset.
Detailed Description
Implementation of Kadane Algorithm
Kadane algorithm is used to find the maximum sum subarray in an array and maximum sum subarray problem is the task of finding a contiguous subarray with the largest sum
-
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Algorithm
The simple idea of the algorithm is to search for all positive contiguous segments of the array and keep track of maximum sum contiguous segment among all positive segments(curr_sum is used for this) Each time we get a positive sum we compare it with max_sum and update max_sum if it is greater than curr_sum
diff --git a/dc/d64/md__coding_guidelines.html b/dc/d64/md__coding_guidelines.html index 53ab64545..3cab0ad5a 100644 --- a/dc/d64/md__coding_guidelines.html +++ b/dc/d64/md__coding_guidelines.html @@ -96,14 +96,14 @@ $(document).ready(function(){initNavTree('dc/d64/md__coding_guidelines.html','..Please orient on this guide before you sent a pull request.
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User-interface
Please write a simple user interface for your programs. Not a blinking cursor!
What does the program do?
What want the program an user informations?
-
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Code style conventions
See here
Don't push all code in one line!
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index d566612db..851a02a78 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -209,7 +209,7 @@ Functions
Mathematical algorithms
Given a recurrence relation; evaluate the value of nth term. For e.g., For fibonacci series, recurrence series is f(n) = f(n-1) + f(n-2) where f(0) = 0 and f(1) = 1. Note that the method used only demonstrates recurrence relation with one variable (n), unlike nCr problem, since it has two (n, r)
+
Algorithm
This problem can be solved using matrix exponentiation method.
The direction ratios (DR) are calculated as follows: 1st DR, J: (b * z) - (c * y) 2nd DR, A: -((a * z) - (c * x)) 3rd DR, N: (a * y) - (b * x)
Therefore, the direction ratios of the cross product are: J, A, N The following C++ Program calculates the direction ratios of the cross products of two vector. The program uses a function, cross() for doing so. The direction ratios for the first and the second vector has to be passed one by one seperated by a space character.
Magnitude of a vector is the square root of the sum of the squares of the direction ratios.
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Example:
An example of a running instance of the executable program:
Pass the first Vector: 1 2 3
Pass the second Vector: 4 5 6 The cross product is: -3 6 -3 Magnitude: 7.34847
diff --git a/index.html b/index.html index bc40a6ccb..22cbdb5e0 100644 --- a/index.html +++ b/index.html @@ -95,10 +95,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
+
Overview
This repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. These algorithms span a variety of topics from computer science, mathematics and statistics, data science, machine learning, engineering, etc.. The implementations and the associated documentation are meant to provide a learning resource for educators and students. Hence, one may find more than one implementation for the same objective but using a different algorithm strategies and optimizations.
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Features
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Documentation
Online Documentation is generated from the repository source codes directly. The documentation contains all resources including source code snippets, details on execution of the programs, diagrammatic representation of program flow, and links to external resources where necessary. The documentation also introduces interactive source code with links to documentation for C++ STL library functions used. Click on Files menu to see the list of all the files documented with the code.
Documentation of Algorithms in C++ by The Algorithms Contributors is licensed under CC BY-SA 4.0
+
Contributions
As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.