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.
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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.
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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.
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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.
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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.
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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.
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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/d2/d26/count__inversions_8cpp.html b/d2/d26/count__inversions_8cpp.html index d65fceecd..f65054130 100644 --- a/d2/d26/count__inversions_8cpp.html +++ b/d2/d26/count__inversions_8cpp.html @@ -152,7 +152,7 @@ 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]
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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/d4/d1c/namespacehamming__distance.html b/d4/d1c/namespacehamming__distance.html
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+Algorithms_in_C++: hamming_distance Namespace Reference
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+ Set of algorithms implemented in C++.
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+hamming_distance Namespace Reference
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+Functions for Hamming distance implementation.
+More...
+Detailed Description
+Functions for Hamming distance implementation.
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+ - Generated by
1.9.1
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diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html
index da4aa2e7c..0a86512c1 100644
--- a/d4/d38/power__of__two_8cpp.html
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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.
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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/d48/hamming__distance_8cpp.html b/d4/d48/hamming__distance_8cpp.html
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+Algorithms_in_C++: bit_manipulation/hamming_distance.cpp File Reference
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+ Set of algorithms implemented in C++.
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+Functions
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+hamming_distance.cpp File Reference
+
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+Returns the Hamming distance between two integers.
+More...
+#include <cassert>
+#include <iostream>
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+Include dependency graph for hamming_distance.cpp:
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+Namespaces
bit_manipulation for io operations
hamming_distance Functions for Hamming distance implementation.
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+Functions
uint64_t bit_manipulation::hamming_distance::bitCount (uint64_t value) uint64_t bit_manipulation::hamming_distance::hamming_distance (uint64_t a, uint64_t b) uint64_t bit_manipulation::hamming_distance::hamming_distance (const std::string &a, const std::string &b) static void test () Function to the test hamming distance. More...
int main () Main function. More...
+Detailed Description
+Returns the Hamming distance between two integers.
+To find hamming distance between two integers, we take their xor, which will have a set bit iff those bits differ in the two numbers. Hence, we return the number of such set bits.
+
+Function Documentation
+
+◆ bitCount()
+
+
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+
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+ uint64_t bit_manipulation::hamming_distance::bitCount
+ (
+ uint64_t
+ value )
+
+
+
+This function returns the number of set bits in the given number.
- Parameters
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+ value the number of which we want to count the number of set bits.
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+- Returns
- the number of set bits in the given number.
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+Here is the call graph for this function:
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+◆ hamming_distance() [1/2]
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+ uint64_t bit_manipulation::hamming_distance::hamming_distance
+ (
+ const std::string &
+ a,
+
+
+ const std::string &
+ b
+
+
+ )
+
+
+
+This function returns the hamming distance between two strings.
- Parameters
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+ a the first string b the second string
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+- Returns
- the number of characters differing between the two strings.
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+T size(T... args)
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+Here is the call graph for this function:
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+◆ hamming_distance() [2/2]
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+ uint64_t bit_manipulation::hamming_distance::hamming_distance
+ (
+ uint64_t
+ a,
+
+
+ uint64_t
+ b
+
+
+ )
+
+
+
+This function returns the hamming distance between two integers.
- Parameters
-
+
+ a the first number b the second number
+
+
+- Returns
- the number of bits differing between the two integers.
+
+uint64_t bitCount(uint64_t value)Definition: hamming_distance.cpp:34
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+Here is the call graph for this function:
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+◆ main()
+
+
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+
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+ int main
+ (
+ void
+ )
+
+
+
+
+Main function.
+- Returns
- 0 on exit
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+T endl(T... args)
+
+uint64_t hamming_distance(uint64_t a, uint64_t b)Definition: hamming_distance.cpp:51
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+◆ test()
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+ static void test
+ (
+ )
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+static
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+Function to the test hamming distance.
+- Returns
- void
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+ - Generated by 1.9.1
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diff --git a/d4/d48/hamming__distance_8cpp.js b/d4/d48/hamming__distance_8cpp.js
new file mode 100644
index 000000000..099deac55
--- /dev/null
+++ b/d4/d48/hamming__distance_8cpp.js
@@ -0,0 +1,8 @@
+var hamming__distance_8cpp =
+[
+ [ "bitCount", "d4/d48/hamming__distance_8cpp.html#a65d845df3fecff7087a2126c7b72030b", null ],
+ [ "hamming_distance", "d4/d48/hamming__distance_8cpp.html#a40ba9fe8b5df5c268f0c7d677ff2fe80", null ],
+ [ "hamming_distance", "d4/d48/hamming__distance_8cpp.html#abfe6fbb2f3460a2623c96f283178a07a", null ],
+ [ "main", "d4/d48/hamming__distance_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "test", "d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
+];
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diff --git a/d4/d48/hamming__distance_8cpp_a65d845df3fecff7087a2126c7b72030b_cgraph.map b/d4/d48/hamming__distance_8cpp_a65d845df3fecff7087a2126c7b72030b_cgraph.map
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diff --git a/d4/d8d/jarvis__algorithm_8cpp.html b/d4/d8d/jarvis__algorithm_8cpp.html
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@@ -137,7 +137,7 @@ 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/d5/d33/gram__schmidt_8cpp.html b/d5/d33/gram__schmidt_8cpp.html
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@@ -140,7 +140,7 @@ 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/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
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--- 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
@@ -107,6 +107,11 @@ Backtracking
- Sudoku Solve
+Bit Manipulation
+
+
Ciphers
- Caesar Cipher
@@ -115,7 +120,7 @@ Ciphers
- Vigenere Cipher
- Xor Cipher
-
+
Data Structures
- Avltree
@@ -153,7 +158,7 @@ Data Structures
- Trie Modern
- Trie Tree
-
+
Dynamic Programming
- 0 1 Knapsack
@@ -181,13 +186,13 @@ Dynamic Programming
- Tree Height
- Word Break
-
+
Geometry
-
+
Graph
- Bidirectional Dijkstra
@@ -210,12 +215,12 @@ Graph
- Topological Sort
- Topological Sort By Kahns Algo
-
+
Graphics
-
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Greedy Algorithms
- Dijkstra
@@ -225,7 +230,7 @@ Greedy Algorithms
- Kruskals Minimum Spanning Tree
- Prims Minimum Spanning Tree
-
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Hashing
- Chaining
@@ -233,12 +238,12 @@ Hashing
- Linear Probing Hash Table
- Quadratic Probing Hash Table
-
+
Linear Algebra
-
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Machine Learning
- Adaline Learning
@@ -248,7 +253,7 @@ Machine Learning
- Ordinary Least Squares Regressor
- Vector Ops
-
+
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- Armstrong Number
@@ -296,7 +301,7 @@ Math
- Sum Of Digits
- Vector Cross Product
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- Bisection Method
@@ -317,7 +322,7 @@ Numerical Methods
- Rungekutta
- Successive Approximation
-
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- Array Left Rotation
@@ -330,7 +335,7 @@ Operations On Datastructures
- Selectionsortlinkedlist
- Union Of 2 Arrays
-
+
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- Buzz Number
@@ -352,7 +357,7 @@ Others
- Tower Of Hanoi
- Vector Important Functions
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- Addition Rule
@@ -360,7 +365,7 @@ Probability
- Binomial Dist
- Poisson Dist
-
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- Fenwick Tree
@@ -370,7 +375,7 @@ Range Queries
- Segtree
- Sparse Table
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- Binary Search
@@ -386,7 +391,7 @@ Search
- Ternary Search
- Text Search
-
+
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- Bead Sort
@@ -424,7 +429,7 @@ Sorting
- Tim Sort
- Wiggle Sort
-
+
Strings
- Brute Force String Searching
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html
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@@ -136,7 +136,7 @@ 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/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html
index 3a31afcba..914e8ae7d 100644
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@@ -136,7 +136,7 @@ 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.
- Author
- Anmol
diff --git a/d6/d4b/hamming__distance_8cpp__incl.map b/d6/d4b/hamming__distance_8cpp__incl.map
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+Algorithms_in_C++: bit_manipulation Namespace Reference
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+
+
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+ Algorithms_in_C++
+ 1.0.0
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+ Set of algorithms implemented in C++.
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+
+
+
+
+
+
+
+
+
+
+bit_manipulation Namespace Reference
+
+
+
+for io operations
+More...
+Detailed Description
+for io operations
+for assert
+Bit Manipulation algorithms
+
+
+
+
+
+
+ - Generated by 1.9.1
+
+
+
+
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index af9a77b06..525aa21ac 100644
--- a/d8/d99/connected__components__with__dsu_8cpp.html
+++ b/d8/d99/connected__components__with__dsu_8cpp.html
@@ -156,7 +156,7 @@ 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/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html
index 6ca0c6191..85999c569 100644
--- a/db/d16/0__1__knapsack_8cpp.html
+++ b/db/d16/0__1__knapsack_8cpp.html
@@ -136,7 +136,7 @@ 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 b360d7527..12ed74131 100644
--- a/db/dca/kadane2_8cpp.html
+++ b/db/dca/kadane2_8cpp.html
@@ -132,7 +132,7 @@ 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/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html
index dbc1d6ed0..6fa1f4634 100644
--- a/df/d66/vector__cross__product_8cpp.html
+++ b/df/d66/vector__cross__product_8cpp.html
@@ -145,7 +145,7 @@ 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
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+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
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+
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+
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+
+
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+
+
+
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+
+
+
+
+
+bit_manipulation Directory Reference
+
+
+
+
+Files
file hamming_distance.cpp Returns the Hamming distance between two integers.
+
+
+
+
+
+
+ - Generated by
1.9.1
+
+
+
+
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new file mode 100644
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+++ b/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js
@@ -0,0 +1,4 @@
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diff --git a/files.html b/files.html
index 535813f06..69e49d97b 100644
--- a/files.html
+++ b/files.html
@@ -106,203 +106,205 @@ $(document).ready(function(){initNavTree('files.html',''); initResizable(); });
- ► ciphers ► data_structures ► dynamic_programming ► geometry ► graph ► graphics ► greedy_algorithms ► hashing ► linear_algebra ► machine_learning ► math ► numerical_methods ► others ► probability ► range_queries ► search ► sorting ► strings ► bit_manipulation ► ciphers ► data_structures ► dynamic_programming ► geometry ► graph ► graphics ► greedy_algorithms ► hashing ► linear_algebra ► machine_learning ► math ► numerical_methods ► others ► probability ► range_queries ► search ► sorting ► strings
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var files_dup =
[
[ "backtracking", "dir_c11585dfcef32a26e29098facab6c144.html", "dir_c11585dfcef32a26e29098facab6c144" ],
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[ "ciphers", "dir_4d6e05837bf820fb089a8a8cdf2f42b7.html", "dir_4d6e05837bf820fb089a8a8cdf2f42b7" ],
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index 2037df291..d419feb46 100644
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@@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
- is_square()
: ordinary_least_squares_regressor.cpp
-- isPrime()
-: modular_inverse_fermat_little_theorem.cpp
-
- IsPrime()
: primality_test.cpp
+- isPrime()
+: modular_inverse_fermat_little_theorem.cpp
+
- it_ternary_search()
: ternary_search.cpp
diff --git a/globals_func_m.html b/globals_func_m.html
index f5c37401f..04223c19a 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, nqueen_print_all_solutions.cpp
, rat_maze.cpp
, sudoku_solve.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, hill_cipher.cpp
, morse_code.cpp
diff --git a/globals_func_t.html b/globals_func_t.html
index f17acd38e..92f535aa6 100644
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+++ b/globals_func_t.html
@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
- test()
: rat_maze.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, morse_code.cpp
, vigenere_cipher.cpp
diff --git a/globals_i.html b/globals_i.html
index 87908168b..e0a80ea03 100644
--- a/globals_i.html
+++ b/globals_i.html
@@ -127,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
- is_square()
: ordinary_least_squares_regressor.cpp
+- IsPrime()
+: primality_test.cpp
+
- isprime
: prime_factorization.cpp
- isPrime()
: modular_inverse_fermat_little_theorem.cpp
-- IsPrime()
-: primality_test.cpp
-
- it_ternary_search()
: ternary_search.cpp
diff --git a/globals_m.html b/globals_m.html
index 4bd3db3b8..a3aa0b0ad 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, nqueen_print_all_solutions.cpp
, rat_maze.cpp
, sudoku_solve.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, hill_cipher.cpp
, morse_code.cpp
diff --git a/globals_t.html b/globals_t.html
index 2a72ed620..59fc783b4 100644
--- a/globals_t.html
+++ b/globals_t.html
@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
- test()
: rat_maze.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, morse_code.cpp
, vigenere_cipher.cpp
diff --git a/index.html b/index.html
index f66cdf633..b4ccdbac4 100644
--- a/index.html
+++ b/index.html
@@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
-
+
Overview
The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. The 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++.
@@ -110,12 +110,12 @@ 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/namespacemembers.html b/namespacemembers.html
index 0fc774029..c3f073038 100644
--- a/namespacemembers.html
+++ b/namespacemembers.html
@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
- isPossible()
: backtracking
-- issafe()
-: backtracking
-
- isSafe()
: backtracking
+- issafe()
+: backtracking
+
diff --git a/namespacemembers_func.html b/namespacemembers_func.html
index c6b469922..b30fa1630 100644
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+++ b/namespacemembers_func.html
@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
- isPossible()
: backtracking
-- issafe()
-: backtracking
-
- isSafe()
: backtracking
+- issafe()
+: backtracking
+
diff --git a/namespaces.html b/namespaces.html
index f4932ea99..02fdd4167 100644
--- a/namespaces.html
+++ b/namespaces.html
@@ -99,131 +99,133 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
Nactivations Various activation functions used in Neural network Nbacktracking Backtracking algorithms Nbidirectional_dijkstra Functions for Bidirectional Dijkstra Shortest Path algorithm Ncaesar Functions for Caesar cipher algorithm ►Nciphers Algorithms for encryption and decryption Ncut_rod Implementation of cutting a rod problem Ncycle_sort Functions for Cycle sort algorithm ►Ndata_structures Data Structures algorithms Ndepth_first_search Functions for Depth First Search algorithm Ndisjoint_union Functions for Disjoint union implementation ►Ndouble_hashing An implementation of hash table using double hashing algorithm Ndynamic_programming Dynamic Programming algorithms Nfalse_position Functions for False Position method Nfibonacci_sum Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) ►Ngeometry Geometry algorithms Ngram_schmidt Functions for Gram Schmidt Orthogonalisation Process ►Ngraph Graph Algorithms Nheavy_light_decomposition Heavy light decomposition algorithm Nhorspool Functions for Horspool's algorithm Ninversion Functions for counting inversions using Merge Sort algorithm Nis_graph_bipartite Functions for checking whether a graph is bipartite or not Njarvis Functions for Jarvis’s algorithm Nkadane Functions for Kadane algorithm NKnapsack Implementation of 0-1 Knapsack problem Nlayers This namespace contains layers used in MLP Nlinear_algebra For io operations ►Nlinear_probing An implementation of hash table using linear probing algorithm Nlinked_list Functions for singly linked list algorithm Nlist_array Functions for Dynamic Array algorithm ►Nmachine_learning Machine learning algorithms ►Nmath For std::vector Nmedian_search Functions for Median search algorithm Nmerge_insertion Combined Intersion-Merge sorting algorithm Nmincoins_topdown Functions for minimum coin exchange problem Nmodular_division Functions for Modular Division implementation Nmorse Functions for Morse Code Nn_queens Functions for Eight Queens puzzle Nn_queens_all_solutions Functions for Eight Queens puzzle with all solutions Nn_queens_optimized Functions for Eight Queens puzzle optimized Nncr_modulo_p Functions for nCr modulo p implementation Nneural_network Neural Network or Multilayer Perceptron Nnumerical_methods For io operations ►Nothers Other algorithms Npalindrome_partitioning Functions for Palindrome Partitioning algorithm Npancake_sort Functions for Pancake sort algorithm Npostfix_expression Functions for Postfix Expression algorithm Nqr_algorithm Functions to compute QR decomposition of any rectangular matrix ►Nquadratic_probing An implementation of hash table using quadratic probing algorithm Nqueue_using_array Functions for Queue using Array implementation Nradix_sort Functions for Radix sort algorithm ►Nrange_queries Algorithms and Data Structures that support range queries and updates Nrat_maze Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
+ Nbit_manipulation For io operations Ncaesar Functions for Caesar cipher algorithm ►Nciphers Algorithms for encryption and decryption Ncut_rod Implementation of cutting a rod problem Ncycle_sort Functions for Cycle sort algorithm ►Ndata_structures Data Structures algorithms Ndepth_first_search Functions for Depth First Search algorithm Ndisjoint_union Functions for Disjoint union implementation ►Ndouble_hashing An implementation of hash table using double hashing algorithm Ndynamic_programming Dynamic Programming algorithms Nfalse_position Functions for False Position method Nfibonacci_sum Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) ►Ngeometry Geometry algorithms Ngram_schmidt Functions for Gram Schmidt Orthogonalisation Process ►Ngraph Graph Algorithms Nhamming_distance Functions for Hamming distance implementation Nheavy_light_decomposition Heavy light decomposition algorithm Nhorspool Functions for Horspool's algorithm Ninversion Functions for counting inversions using Merge Sort algorithm Nis_graph_bipartite Functions for checking whether a graph is bipartite or not Njarvis Functions for Jarvis’s algorithm Nkadane Functions for Kadane algorithm NKnapsack Implementation of 0-1 Knapsack problem Nlayers This namespace contains layers used in MLP Nlinear_algebra For io operations ►Nlinear_probing An implementation of hash table using linear probing algorithm Nlinked_list Functions for singly linked list algorithm Nlist_array Functions for Dynamic Array algorithm ►Nmachine_learning Machine learning algorithms ►Nmath For std::vector Nmedian_search Functions for Median search algorithm Nmerge_insertion Combined Intersion-Merge sorting algorithm Nmincoins_topdown Functions for minimum coin exchange problem Nmodular_division Functions for Modular Division implementation Nmorse Functions for Morse Code Nn_queens Functions for Eight Queens puzzle Nn_queens_all_solutions Functions for Eight Queens puzzle with all solutions Nn_queens_optimized Functions for Eight Queens puzzle optimized Nncr_modulo_p Functions for nCr modulo p implementation Nneural_network Neural Network or Multilayer Perceptron Nnumerical_methods For io operations ►Nothers Other algorithms Npalindrome_partitioning Functions for Palindrome Partitioning algorithm Npancake_sort Functions for Pancake sort algorithm Npostfix_expression Functions for Postfix Expression algorithm Nqr_algorithm Functions to compute QR decomposition of any rectangular matrix ►Nquadratic_probing An implementation of hash table using quadratic probing algorithm Nqueue_using_array Functions for Queue using Array implementation Nradix_sort Functions for Radix sort algorithm ►Nrange_queries Algorithms and Data Structures that support range queries and updates Nrat_maze Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" Nrunge_kutta Functions for Runge Kutta fourth order method Nsaddleback Function for implementing Saddleback Algorithm Nsearch Search algorithms Nshortest_common_supersequence Shortest Common Super Sequence algorithm Nsorting Sorting algorithms Nsparse_table Range queries using sparse-tables Nspirograph ►Nstatistics Statistical algorithms Nstd STL namespace Nstrand Functions for Strand Sort algorithm Nstring_search String search algorithms Nstrings Algorithms with strings Ntree_234 Functions for 2–3–4 tree Nutil_functions Various utility functions used in Neural network Nvector_cross Functions for Vector Cross Product algorithms Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm Nrunge_kutta Functions for Runge Kutta fourth order method Nsaddleback Function for implementing Saddleback Algorithm Nsearch Search algorithms Nshortest_common_supersequence Shortest Common Super Sequence algorithm Nsorting Sorting algorithms Nsparse_table Range queries using sparse-tables Nspirograph ►Nstatistics Statistical algorithms Nstd STL namespace Nstrand Functions for Strand Sort algorithm Nstring_search String search algorithms Nstrings Algorithms with strings Ntree_234 Functions for 2–3–4 tree Nutil_functions Various utility functions used in Neural network Nvector_cross Functions for Vector Cross Product algorithms Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm
diff --git a/namespaces_dup.js b/namespaces_dup.js
index cd43ed1ed..53bbbd604 100644
--- a/namespaces_dup.js
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@@ -31,6 +31,7 @@ var namespaces_dup =
[ "solveSudoku", "db/dc0/namespacebacktracking.html#a2b98ee79cdbc02ffd7b1f786f9696892", null ]
] ],
[ "bidirectional_dijkstra", "d4/d13/namespacebidirectional__dijkstra.html", null ],
+ [ "bit_manipulation", "d7/d81/namespacebit__manipulation.html", null ],
[ "caesar", "dd/d81/namespacecaesar.html", null ],
[ "ciphers", "d6/d4e/namespaceciphers.html", "d6/d4e/namespaceciphers" ],
[ "cut_rod", "d8/d36/namespacecut__rod.html", null ],
@@ -45,6 +46,7 @@ var namespaces_dup =
[ "geometry", "d5/d5f/namespacegeometry.html", "d5/d5f/namespacegeometry" ],
[ "gram_schmidt", "d4/d0f/namespacegram__schmidt.html", null ],
[ "graph", "df/dce/namespacegraph.html", "df/dce/namespacegraph" ],
+ [ "hamming_distance", "d4/d1c/namespacehamming__distance.html", null ],
[ "heavy_light_decomposition", "db/d6f/namespaceheavy__light__decomposition.html", null ],
[ "horspool", "d5/d02/namespacehorspool.html", null ],
[ "inversion", "d9/d13/namespaceinversion.html", null ],
diff --git a/navtreedata.js b/navtreedata.js
index b75542b59..d103ed58e 100644
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@@ -26,10 +26,10 @@ var NAVTREE =
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- [ "Documentation", "index.html#autotoc_md69", null ],
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+ [ "Overview", "index.html#autotoc_md68", null ],
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+ [ "Documentation", "index.html#autotoc_md70", null ],
+ [ "Contributions", "index.html#autotoc_md71", null ]
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[ "Contributor Covenant Code of Conduct", "d4/d4c/md__c_o_d_e__o_f__c_o_n_d_u_c_t.html", [
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diff --git a/search/variables_e.js b/search/variables_e.js
index a7ca7f825..94ce64e1f 100644
--- a/search/variables_e.js
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diff --git a/search/variables_f.js b/search/variables_f.js
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];
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+|
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+ |
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+hamming_distance Namespace Reference
+
+
+Functions for Hamming distance implementation. +More...
+Detailed Description
+Functions for Hamming distance implementation.
+
+
+
+
diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html
index da4aa2e7c..0a86512c1 100644
--- a/d4/d38/power__of__two_8cpp.html
+++ b/d4/d38/power__of__two_8cpp.html
@@ -126,7 +126,7 @@ Functions
-
+
+
- Generated by 1.9.1
+
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.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+|
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+ |
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Namespaces |
+Functions
+
+
+hamming_distance.cpp File Reference
+
+
+
+
+
+
+
+Returns the Hamming distance between two integers. +More...
+#include <cassert>+
#include <iostream>+
+Include dependency graph for hamming_distance.cpp:
+
+
+
+
++Namespaces | |
| bit_manipulation | |
| for io operations | |
| hamming_distance | |
| Functions for Hamming distance implementation. | |
+Functions | |
| uint64_t | bit_manipulation::hamming_distance::bitCount (uint64_t value) |
| uint64_t | bit_manipulation::hamming_distance::hamming_distance (uint64_t a, uint64_t b) |
| uint64_t | bit_manipulation::hamming_distance::hamming_distance (const std::string &a, const std::string &b) |
| static void | test () |
| Function to the test hamming distance. More... | |
| int | main () |
| Main function. More... | |
Detailed Description
+Returns the Hamming distance between two integers.
+To find hamming distance between two integers, we take their xor, which will have a set bit iff those bits differ in the two numbers. Hence, we return the number of such set bits.
+ +Function Documentation
+ +◆ bitCount()
+ +
+
+
+
+
+
+
| uint64_t bit_manipulation::hamming_distance::bitCount | +( | +uint64_t | +value | ) | ++ |
+
+This function returns the number of set bits in the given number.
- Parameters
-
+
+
+value the number of which we want to count the number of set bits.
+
- Returns
- the number of set bits in the given number.
+
+
+
+
+
+
+
+
+
+
+Here is the call graph for this function:
+
+
+
+
+
+◆ hamming_distance() [1/2]
+ +
+
+
+
+
+
+
| uint64_t bit_manipulation::hamming_distance::hamming_distance | +( | +const std::string & | +a, | +
| + | + | const std::string & | +b | +
| + | ) | ++ |
+
+This function returns the hamming distance between two strings.
- Parameters
-
+
+
+a the first string b the second string
+
- Returns
- the number of characters differing between the two strings.
+
+
+
+
+
+
+
+
+
+
T size(T... args)
+Here is the call graph for this function:
+
+
+
+
+
+◆ hamming_distance() [2/2]
+ +
+
+
+
+
+
+
| uint64_t bit_manipulation::hamming_distance::hamming_distance | +( | +uint64_t | +a, | +
| + | + | uint64_t | +b | +
| + | ) | ++ |
+
+This function returns the hamming distance between two integers.
- Parameters
-
+
+
+a the first number b the second number
+
- Returns
- the number of bits differing between the two integers.
+
+
uint64_t bitCount(uint64_t value)
Definition: hamming_distance.cpp:34
+Here is the call graph for this function:
+
+
+
+
+
+◆ main()
+ +
+
+
+
+
+
+
| int main | +( | +void | +) | ++ |
+
+
+Main function.
+- Returns
- 0 on exit
+
+
+
+
+
+
+
+
+
+
+
+
+
T endl(T... args)
uint64_t hamming_distance(uint64_t a, uint64_t b)
Definition: hamming_distance.cpp:51
+Here is the call graph for this function:
+
+
+
+
+
+◆ test()
+ +
+
+
+
+
+
+
|
+ +static | +
+
+
+Function to the test hamming distance.
+- Returns
- void
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/d4/d48/hamming__distance_8cpp.js b/d4/d48/hamming__distance_8cpp.js
new file mode 100644
index 000000000..099deac55
--- /dev/null
+++ b/d4/d48/hamming__distance_8cpp.js
@@ -0,0 +1,8 @@
+var hamming__distance_8cpp =
+[
+ [ "bitCount", "d4/d48/hamming__distance_8cpp.html#a65d845df3fecff7087a2126c7b72030b", null ],
+ [ "hamming_distance", "d4/d48/hamming__distance_8cpp.html#a40ba9fe8b5df5c268f0c7d677ff2fe80", null ],
+ [ "hamming_distance", "d4/d48/hamming__distance_8cpp.html#abfe6fbb2f3460a2623c96f283178a07a", null ],
+ [ "main", "d4/d48/hamming__distance_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "test", "d4/d48/hamming__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
+];
\ No newline at end of file
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new file mode 100644
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+++ b/d4/d48/hamming__distance_8cpp_a40ba9fe8b5df5c268f0c7d677ff2fe80_cgraph.map
@@ -0,0 +1,4 @@
+
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new file mode 100644
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+++ b/d4/d48/hamming__distance_8cpp_a40ba9fe8b5df5c268f0c7d677ff2fe80_cgraph.svg
@@ -0,0 +1,38 @@
+
+
+
+
+
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new file mode 100644
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@@ -0,0 +1,3 @@
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new file mode 100644
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new file mode 100644
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@@ -0,0 +1,29 @@
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new file mode 100644
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@@ -0,0 +1,4 @@
+
diff --git a/d4/d48/hamming__distance_8cpp_abfe6fbb2f3460a2623c96f283178a07a_cgraph.md5 b/d4/d48/hamming__distance_8cpp_abfe6fbb2f3460a2623c96f283178a07a_cgraph.md5
new file mode 100644
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new file mode 100644
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@@ -0,0 +1,45 @@
+
+
+
+
+
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new file mode 100644
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new file mode 100644
index 000000000..78485a9a3
--- /dev/null
+++ b/d4/d48/hamming__distance_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
@@ -0,0 +1,52 @@
+
+
+
+
+
diff --git a/d4/d8d/jarvis__algorithm_8cpp.html b/d4/d8d/jarvis__algorithm_8cpp.html
index de4e3b204..6b7ec0ea3 100644
--- a/d4/d8d/jarvis__algorithm_8cpp.html
+++ b/d4/d8d/jarvis__algorithm_8cpp.html
@@ -137,7 +137,7 @@ Functions
-
+
+
- Generated by 1.9.1
+
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/d5/d33/gram__schmidt_8cpp.html b/d5/d33/gram__schmidt_8cpp.html index a9fa9d34d..75aac0b27 100644 --- a/d5/d33/gram__schmidt_8cpp.html +++ b/d5/d33/gram__schmidt_8cpp.html @@ -140,7 +140,7 @@ FunctionsDetailed 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/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 cba4fe062..336ef1f84 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 @@ -107,6 +107,11 @@ Backtracking+Bit Manipulation
+ +Ciphers
- Caesar Cipher @@ -115,7 +120,7 @@ Ciphers
- Vigenere Cipher
- Xor Cipher
+
Data Structures
- Avltree
@@ -153,7 +158,7 @@ Data Structures
+
Dynamic Programming
- 0 1 Knapsack
@@ -181,13 +186,13 @@ Dynamic Programming
+
Geometry
-
+
Graph
- Bidirectional Dijkstra
@@ -210,12 +215,12 @@ Graph
Graph
- Bidirectional Dijkstra @@ -210,12 +215,12 @@ Graph
+
Graphics
-
+
Greedy Algorithms
- Dijkstra
@@ -225,7 +230,7 @@ Greedy Algorithms
Greedy Algorithms
- Dijkstra @@ -225,7 +230,7 @@ Greedy Algorithms
+
Hashing
- Chaining
@@ -233,12 +238,12 @@ Hashing
+
Linear Algebra
-
+
Machine Learning
- Adaline Learning
@@ -248,7 +253,7 @@ Machine Learning
Machine Learning
- Adaline Learning @@ -248,7 +253,7 @@ Machine Learning
+
Math
- Armstrong Number
@@ -296,7 +301,7 @@ Math
+
Numerical Methods
- Bisection Method
@@ -317,7 +322,7 @@ Numerical Methods
+
Operations On Datastructures
- Array Left Rotation
@@ -330,7 +335,7 @@ Operations On Datastructures
+
Others
- Buzz Number
@@ -352,7 +357,7 @@ Others
+
Probability
- Addition Rule
@@ -360,7 +365,7 @@ Probability
+
Range Queries
- Fenwick Tree
@@ -370,7 +375,7 @@ Range Queries
+
Search
- Binary Search
@@ -386,7 +391,7 @@ Search
+
Sorting
- Bead Sort
@@ -424,7 +429,7 @@ Sorting
+
Strings
- Brute Force String Searching
diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html
index 0d0d78e60..62fda2433 100644
--- a/d5/ddb/bogo__sort_8cpp.html
+++ b/d5/ddb/bogo__sort_8cpp.html
@@ -136,7 +136,7 @@ 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/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html
index 3a31afcba..914e8ae7d 100644
--- a/d6/d10/cut__rod_8cpp.html
+++ b/d6/d10/cut__rod_8cpp.html
@@ -136,7 +136,7 @@ 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.
- Author
- Anmol
diff --git a/d6/d4b/hamming__distance_8cpp__incl.map b/d6/d4b/hamming__distance_8cpp__incl.map
new file mode 100644
index 000000000..5add49bcf
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+++ b/d6/d4b/hamming__distance_8cpp__incl.map
@@ -0,0 +1,5 @@
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@@ -0,0 +1,53 @@
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diff --git a/d7/d81/namespacebit__manipulation.html b/d7/d81/namespacebit__manipulation.html
new file mode 100644
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--- /dev/null
+++ b/d7/d81/namespacebit__manipulation.html
@@ -0,0 +1,114 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: bit_manipulation Namespace Reference
+
+
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+
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+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
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+bit_manipulation Namespace Reference
+
+
+
+for io operations
+More...
+Detailed Description
+for io operations
+for assert
+Bit Manipulation algorithms
+
+
+
+
+
+
+ - Generated by 1.9.1
+
+
+
+
diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index af9a77b06..525aa21ac 100644
--- a/d8/d99/connected__components__with__dsu_8cpp.html
+++ b/d8/d99/connected__components__with__dsu_8cpp.html
@@ -156,7 +156,7 @@ 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/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html
index 6ca0c6191..85999c569 100644
--- a/db/d16/0__1__knapsack_8cpp.html
+++ b/db/d16/0__1__knapsack_8cpp.html
@@ -136,7 +136,7 @@ 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 b360d7527..12ed74131 100644
--- a/db/dca/kadane2_8cpp.html
+++ b/db/dca/kadane2_8cpp.html
@@ -132,7 +132,7 @@ 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/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html
index dbc1d6ed0..6fa1f4634 100644
--- a/df/d66/vector__cross__product_8cpp.html
+++ b/df/d66/vector__cross__product_8cpp.html
@@ -145,7 +145,7 @@ 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
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index 398c46cae..6a963e130 100644
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dir_4d6e05837bf820fb089a8a8cdf2f42b7->dir_9c6faab82c22511b50177aa2e38e2780
+
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+++ b/dir_f3c4fbc4e901afa0a54d0623c5574aa7.html
@@ -0,0 +1,114 @@
+
+
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+Algorithms_in_C++: bit_manipulation Directory Reference
+
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+
+
+
+
+
+
+
+
+
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+
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+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
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+
+
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+
+
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+
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+
+
+bit_manipulation Directory Reference
+
+
+
+
+Files
file hamming_distance.cpp Returns the Hamming distance between two integers.
+
+
+
+
+
+
+ - Generated by 1.9.1
+
+
+
+
diff --git a/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js b/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js
new file mode 100644
index 000000000..d39b593fb
--- /dev/null
+++ b/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js
@@ -0,0 +1,4 @@
+var dir_f3c4fbc4e901afa0a54d0623c5574aa7 =
+[
+ [ "hamming_distance.cpp", "d4/d48/hamming__distance_8cpp.html", "d4/d48/hamming__distance_8cpp" ]
+];
\ No newline at end of file
diff --git a/files.html b/files.html
index 535813f06..69e49d97b 100644
--- a/files.html
+++ b/files.html
@@ -106,203 +106,205 @@ $(document).ready(function(){initNavTree('files.html',''); initResizable(); });
- ► ciphers ► data_structures ► dynamic_programming ► geometry ► graph ► graphics ► greedy_algorithms ► hashing ► linear_algebra ► machine_learning ► math ► numerical_methods ► others ► probability ► range_queries ► search ► sorting ► strings ► bit_manipulation ► ciphers ► data_structures ► dynamic_programming ► geometry ► graph ► graphics ► greedy_algorithms ► hashing ► linear_algebra ► machine_learning ► math ► numerical_methods ► others ► probability ► range_queries ► search ► sorting ► strings
diff --git a/files_dup.js b/files_dup.js
index 1978eaef8..b05f83351 100644
--- a/files_dup.js
+++ b/files_dup.js
@@ -1,6 +1,7 @@
var files_dup =
[
[ "backtracking", "dir_c11585dfcef32a26e29098facab6c144.html", "dir_c11585dfcef32a26e29098facab6c144" ],
+ [ "bit_manipulation", "dir_f3c4fbc4e901afa0a54d0623c5574aa7.html", "dir_f3c4fbc4e901afa0a54d0623c5574aa7" ],
[ "ciphers", "dir_4d6e05837bf820fb089a8a8cdf2f42b7.html", "dir_4d6e05837bf820fb089a8a8cdf2f42b7" ],
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diff --git a/globals_func_i.html b/globals_func_i.html
index 2037df291..d419feb46 100644
--- a/globals_func_i.html
+++ b/globals_func_i.html
@@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
- is_square()
: ordinary_least_squares_regressor.cpp
-- isPrime()
-: modular_inverse_fermat_little_theorem.cpp
-
- IsPrime()
: primality_test.cpp
+- isPrime()
+: modular_inverse_fermat_little_theorem.cpp
+
- it_ternary_search()
: ternary_search.cpp
diff --git a/globals_func_m.html b/globals_func_m.html
index f5c37401f..04223c19a 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, nqueen_print_all_solutions.cpp
, rat_maze.cpp
, sudoku_solve.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, hill_cipher.cpp
, morse_code.cpp
diff --git a/globals_func_t.html b/globals_func_t.html
index f17acd38e..92f535aa6 100644
--- a/globals_func_t.html
+++ b/globals_func_t.html
@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
- test()
: rat_maze.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, morse_code.cpp
, vigenere_cipher.cpp
diff --git a/globals_i.html b/globals_i.html
index 87908168b..e0a80ea03 100644
--- a/globals_i.html
+++ b/globals_i.html
@@ -127,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
- is_square()
: ordinary_least_squares_regressor.cpp
+- IsPrime()
+: primality_test.cpp
+
- isprime
: prime_factorization.cpp
- isPrime()
: modular_inverse_fermat_little_theorem.cpp
-- IsPrime()
-: primality_test.cpp
-
- it_ternary_search()
: ternary_search.cpp
diff --git a/globals_m.html b/globals_m.html
index 4bd3db3b8..a3aa0b0ad 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, nqueen_print_all_solutions.cpp
, rat_maze.cpp
, sudoku_solve.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, hill_cipher.cpp
, morse_code.cpp
diff --git a/globals_t.html b/globals_t.html
index 2a72ed620..59fc783b4 100644
--- a/globals_t.html
+++ b/globals_t.html
@@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
- test()
: rat_maze.cpp
+, hamming_distance.cpp
, caesar_cipher.cpp
, morse_code.cpp
, vigenere_cipher.cpp
diff --git a/index.html b/index.html
index f66cdf633..b4ccdbac4 100644
--- a/index.html
+++ b/index.html
@@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });
-
+
Overview
The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. The 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++.
@@ -110,12 +110,12 @@ 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/namespacemembers.html b/namespacemembers.html
index 0fc774029..c3f073038 100644
--- a/namespacemembers.html
+++ b/namespacemembers.html
@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
- isPossible()
: backtracking
-- issafe()
-: backtracking
-
- isSafe()
: backtracking
+- issafe()
+: backtracking
+
diff --git a/namespacemembers_func.html b/namespacemembers_func.html
index c6b469922..b30fa1630 100644
--- a/namespacemembers_func.html
+++ b/namespacemembers_func.html
@@ -214,12 +214,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
- isPossible()
: backtracking
-- issafe()
-: backtracking
-
- isSafe()
: backtracking
+- issafe()
+: backtracking
+
diff --git a/namespaces.html b/namespaces.html
index f4932ea99..02fdd4167 100644
--- a/namespaces.html
+++ b/namespaces.html
@@ -99,131 +99,133 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
Nactivations Various activation functions used in Neural network Nbacktracking Backtracking algorithms Nbidirectional_dijkstra Functions for Bidirectional Dijkstra Shortest Path algorithm Ncaesar Functions for Caesar cipher algorithm ►Nciphers Algorithms for encryption and decryption Ncut_rod Implementation of cutting a rod problem Ncycle_sort Functions for Cycle sort algorithm ►Ndata_structures Data Structures algorithms Ndepth_first_search Functions for Depth First Search algorithm Ndisjoint_union Functions for Disjoint union implementation ►Ndouble_hashing An implementation of hash table using double hashing algorithm Ndynamic_programming Dynamic Programming algorithms Nfalse_position Functions for False Position method Nfibonacci_sum Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) ►Ngeometry Geometry algorithms Ngram_schmidt Functions for Gram Schmidt Orthogonalisation Process ►Ngraph Graph Algorithms Nheavy_light_decomposition Heavy light decomposition algorithm Nhorspool Functions for Horspool's algorithm Ninversion Functions for counting inversions using Merge Sort algorithm Nis_graph_bipartite Functions for checking whether a graph is bipartite or not Njarvis Functions for Jarvis’s algorithm Nkadane Functions for Kadane algorithm NKnapsack Implementation of 0-1 Knapsack problem Nlayers This namespace contains layers used in MLP Nlinear_algebra For io operations ►Nlinear_probing An implementation of hash table using linear probing algorithm Nlinked_list Functions for singly linked list algorithm Nlist_array Functions for Dynamic Array algorithm ►Nmachine_learning Machine learning algorithms ►Nmath For std::vector Nmedian_search Functions for Median search algorithm Nmerge_insertion Combined Intersion-Merge sorting algorithm Nmincoins_topdown Functions for minimum coin exchange problem Nmodular_division Functions for Modular Division implementation Nmorse Functions for Morse Code Nn_queens Functions for Eight Queens puzzle Nn_queens_all_solutions Functions for Eight Queens puzzle with all solutions Nn_queens_optimized Functions for Eight Queens puzzle optimized Nncr_modulo_p Functions for nCr modulo p implementation Nneural_network Neural Network or Multilayer Perceptron Nnumerical_methods For io operations ►Nothers Other algorithms Npalindrome_partitioning Functions for Palindrome Partitioning algorithm Npancake_sort Functions for Pancake sort algorithm Npostfix_expression Functions for Postfix Expression algorithm Nqr_algorithm Functions to compute QR decomposition of any rectangular matrix ►Nquadratic_probing An implementation of hash table using quadratic probing algorithm Nqueue_using_array Functions for Queue using Array implementation Nradix_sort Functions for Radix sort algorithm ►Nrange_queries Algorithms and Data Structures that support range queries and updates Nrat_maze Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
+ Nbit_manipulation For io operations Ncaesar Functions for Caesar cipher algorithm ►Nciphers Algorithms for encryption and decryption Ncut_rod Implementation of cutting a rod problem Ncycle_sort Functions for Cycle sort algorithm ►Ndata_structures Data Structures algorithms Ndepth_first_search Functions for Depth First Search algorithm Ndisjoint_union Functions for Disjoint union implementation ►Ndouble_hashing An implementation of hash table using double hashing algorithm Ndynamic_programming Dynamic Programming algorithms Nfalse_position Functions for False Position method Nfibonacci_sum Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) ►Ngeometry Geometry algorithms Ngram_schmidt Functions for Gram Schmidt Orthogonalisation Process ►Ngraph Graph Algorithms Nhamming_distance Functions for Hamming distance implementation Nheavy_light_decomposition Heavy light decomposition algorithm Nhorspool Functions for Horspool's algorithm Ninversion Functions for counting inversions using Merge Sort algorithm Nis_graph_bipartite Functions for checking whether a graph is bipartite or not Njarvis Functions for Jarvis’s algorithm Nkadane Functions for Kadane algorithm NKnapsack Implementation of 0-1 Knapsack problem Nlayers This namespace contains layers used in MLP Nlinear_algebra For io operations ►Nlinear_probing An implementation of hash table using linear probing algorithm Nlinked_list Functions for singly linked list algorithm Nlist_array Functions for Dynamic Array algorithm ►Nmachine_learning Machine learning algorithms ►Nmath For std::vector Nmedian_search Functions for Median search algorithm Nmerge_insertion Combined Intersion-Merge sorting algorithm Nmincoins_topdown Functions for minimum coin exchange problem Nmodular_division Functions for Modular Division implementation Nmorse Functions for Morse Code Nn_queens Functions for Eight Queens puzzle Nn_queens_all_solutions Functions for Eight Queens puzzle with all solutions Nn_queens_optimized Functions for Eight Queens puzzle optimized Nncr_modulo_p Functions for nCr modulo p implementation Nneural_network Neural Network or Multilayer Perceptron Nnumerical_methods For io operations ►Nothers Other algorithms Npalindrome_partitioning Functions for Palindrome Partitioning algorithm Npancake_sort Functions for Pancake sort algorithm Npostfix_expression Functions for Postfix Expression algorithm Nqr_algorithm Functions to compute QR decomposition of any rectangular matrix ►Nquadratic_probing An implementation of hash table using quadratic probing algorithm Nqueue_using_array Functions for Queue using Array implementation Nradix_sort Functions for Radix sort algorithm ►Nrange_queries Algorithms and Data Structures that support range queries and updates Nrat_maze Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to-
solve-a-rat-in-a-maze-c-java-pytho/" Nrunge_kutta Functions for Runge Kutta fourth order method Nsaddleback Function for implementing Saddleback Algorithm Nsearch Search algorithms Nshortest_common_supersequence Shortest Common Super Sequence algorithm Nsorting Sorting algorithms Nsparse_table Range queries using sparse-tables Nspirograph ►Nstatistics Statistical algorithms Nstd STL namespace Nstrand Functions for Strand Sort algorithm Nstring_search String search algorithms Nstrings Algorithms with strings Ntree_234 Functions for 2–3–4 tree Nutil_functions Various utility functions used in Neural network Nvector_cross Functions for Vector Cross Product algorithms Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm Nrunge_kutta Functions for Runge Kutta fourth order method Nsaddleback Function for implementing Saddleback Algorithm Nsearch Search algorithms Nshortest_common_supersequence Shortest Common Super Sequence algorithm Nsorting Sorting algorithms Nsparse_table Range queries using sparse-tables Nspirograph ►Nstatistics Statistical algorithms Nstd STL namespace Nstrand Functions for Strand Sort algorithm Nstring_search String search algorithms Nstrings Algorithms with strings Ntree_234 Functions for 2–3–4 tree Nutil_functions Various utility functions used in Neural network Nvector_cross Functions for Vector Cross Product algorithms Nvigenere Functions for vigenère cipher algorithm Nwiggle_sort Functions for Wiggle Sort algorithm Nword_break Functions for Word Break problem NXOR Functions for XOR cipher algorithm
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.
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Algorithm
Shuffle the array untill array is sorted.
diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html index 3a31afcba..914e8ae7d 100644 --- a/d6/d10/cut__rod_8cpp.html +++ b/d6/d10/cut__rod_8cpp.html @@ -136,7 +136,7 @@ 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.
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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.
- Author
- Anmol diff --git a/d6/d4b/hamming__distance_8cpp__incl.map b/d6/d4b/hamming__distance_8cpp__incl.map new file mode 100644 index 000000000..5add49bcf --- /dev/null +++ b/d6/d4b/hamming__distance_8cpp__incl.map @@ -0,0 +1,5 @@ + diff --git a/d6/d4b/hamming__distance_8cpp__incl.md5 b/d6/d4b/hamming__distance_8cpp__incl.md5 new file mode 100644 index 000000000..e5c21ecf7 --- /dev/null +++ b/d6/d4b/hamming__distance_8cpp__incl.md5 @@ -0,0 +1 @@ +e4c7c5fec7681ebdb2f5ebcbe1731e38 \ No newline at end of file diff --git a/d6/d4b/hamming__distance_8cpp__incl.svg b/d6/d4b/hamming__distance_8cpp__incl.svg new file mode 100644 index 000000000..041ba3fb5 --- /dev/null +++ b/d6/d4b/hamming__distance_8cpp__incl.svg @@ -0,0 +1,53 @@ + + + + + diff --git a/d7/d81/namespacebit__manipulation.html b/d7/d81/namespacebit__manipulation.html new file mode 100644 index 000000000..ddbce2c4c --- /dev/null +++ b/d7/d81/namespacebit__manipulation.html @@ -0,0 +1,114 @@ + + + + + + + +
- Generated by 1.9.1
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- Depth first search diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html index 6ca0c6191..85999c569 100644 --- a/db/d16/0__1__knapsack_8cpp.html +++ b/db/d16/0__1__knapsack_8cpp.html @@ -136,7 +136,7 @@ Functions
- Author
- Anmol diff --git a/db/dca/kadane2_8cpp.html b/db/dca/kadane2_8cpp.html index b360d7527..12ed74131 100644 --- a/db/dca/kadane2_8cpp.html +++ b/db/dca/kadane2_8cpp.html @@ -132,7 +132,7 @@ Functions
- Generated by 1.9.1
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+ Algorithms_in_C++
+ 1.0.0
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+ Set of algorithms implemented in C++.
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+bit_manipulation Namespace Reference
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+for io operations +More...
+Detailed Description
+for io operations
+for assert
+Bit Manipulation algorithms
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diff --git a/d8/d99/connected__components__with__dsu_8cpp.html b/d8/d99/connected__components__with__dsu_8cpp.html
index af9a77b06..525aa21ac 100644
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Detailed 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 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)
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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/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html index dbc1d6ed0..6fa1f4634 100644 --- a/df/d66/vector__cross__product_8cpp.html +++ b/df/d66/vector__cross__product_8cpp.html @@ -145,7 +145,7 @@ FunctionsThe 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
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+ 1.0.0
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+ Set of algorithms implemented in C++.
+ |
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++Files | |
| file | hamming_distance.cpp |
| Returns the Hamming distance between two integers. | |
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diff --git a/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js b/dir_f3c4fbc4e901afa0a54d0623c5574aa7.js
new file mode 100644
index 000000000..d39b593fb
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@@ -0,0 +1,4 @@
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+[
+ [ "hamming_distance.cpp", "d4/d48/hamming__distance_8cpp.html", "d4/d48/hamming__distance_8cpp" ]
+];
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Overview
The repository is a collection of open-source implementation of a variety of algorithms implemented in C++ and licensed under MIT License. The 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
- The repository provides implementations of various algorithms in one of the most fundamental general purpose languages - C++.
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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
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Contributions
As a community developed and maintained repository, we welcome new un-plagiarized quality contributions. Please read our Contribution Guidelines.