diff --git a/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.map b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.map new file mode 100644 index 000000000..ce9396eb0 --- /dev/null +++ b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.md5 b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.md5 new file mode 100644 index 000000000..6152f7748 --- /dev/null +++ b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.md5 @@ -0,0 +1 @@ +07b418cea3de6228d912116269a882f0 \ No newline at end of file diff --git a/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.svg b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.svg new file mode 100644 index 000000000..75691028a --- /dev/null +++ b/d0/d2c/karatsuba__algorithm__for__fast__multiplication_8cpp__incl.svg @@ -0,0 +1,84 @@ + + + + + + +divide_and_conquer/karatsuba_algorithm_for_fast_multiplication.cpp + + + +Node1 + + +divide_and_conquer +/karatsuba_algorithm +_for_fast_multiplication.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +cstring + + + + + +Node1->Node3 + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + +Node5 + + +vector + + + + + +Node1->Node5 + + + + + diff --git a/d1/d9a/hopcroft__karp_8cpp.html b/d1/d9a/hopcroft__karp_8cpp.html index fb0593371..54510a11f 100644 --- a/d1/d9a/hopcroft__karp_8cpp.html +++ b/d1/d9a/hopcroft__karp_8cpp.html @@ -138,22 +138,22 @@ Functions

Detailed Description

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.

Author
Krishna Pal Deora
diff --git a/d2/d26/count__inversions_8cpp.html b/d2/d26/count__inversions_8cpp.html index 2d31a3018..40208957e 100644 --- a/d2/d26/count__inversions_8cpp.html +++ b/d2/d26/count__inversions_8cpp.html @@ -152,7 +152,7 @@ Functions

two 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

  1. 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.
    2. diff --git a/d3/df9/recursive__bubble__sort_8cpp.html b/d3/df9/recursive__bubble__sort_8cpp.html index 50dc0fbe0..d73293669 100644 --- a/d3/df9/recursive__bubble__sort_8cpp.html +++ b/d3/df9/recursive__bubble__sort_8cpp.html @@ -136,7 +136,7 @@ Functions
    Author
    Aditya Prakash

    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 936913f35..5c630a667 100644 --- a/d4/d32/inorder__successor__of__bst_8cpp.html +++ b/d4/d32/inorder__successor__of__bst_8cpp.html @@ -164,21 +164,21 @@ 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 d260dc329..a9469166b 100644 --- a/d4/d38/power__of__two_8cpp.html +++ b/d4/d38/power__of__two_8cpp.html @@ -126,7 +126,7 @@ 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/d8d/jarvis__algorithm_8cpp.html b/d4/d8d/jarvis__algorithm_8cpp.html index 7c2e56183..0f2d46191 100644 --- a/d4/d8d/jarvis__algorithm_8cpp.html +++ b/d4/d8d/jarvis__algorithm_8cpp.html @@ -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 index bb3d6e860..e6b3367c4 100644 --- a/d5/d33/gram__schmidt_8cpp.html +++ b/d5/d33/gram__schmidt_8cpp.html @@ -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/d45/sublist__search_8cpp.html b/d5/d45/sublist__search_8cpp.html index 36b5c562f..f64e9beba 100644 --- a/d5/d45/sublist__search_8cpp.html +++ b/d5/d45/sublist__search_8cpp.html @@ -149,14 +149,14 @@ 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 6f7beabdb..de20372a4 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 @@ -170,6 +170,11 @@ Data Structures
      • Trie Using Hashmap

      +Divide And Conquer

      + +

      Dynamic Programming

      -

      +

      Geometry

      -

      +

      Graph

      -

      +

      Graphics

      -

      +

      Greedy Algorithms

      -

      +

      Hashing

      -

      +

      Linear Algebra

      -

      +

      Machine Learning

      -

      +

      Math

      -

      +

      Numerical Methods

      -

      +

      Operations On Datastructures

      -

      +

      Others

      -

      +

      Probability

      -

      +

      Range Queries

      -

      +

      Search

      -

      +

      Sorting

      -

      +

      Strings

      • Brute Force String Searching
        • diff --git a/d5/ddb/bogo__sort_8cpp.html b/d5/ddb/bogo__sort_8cpp.html index 94b9002b6..9ebef65a9 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.

        Author
        Deep Raval
        diff --git a/d6/d10/cut__rod_8cpp.html b/d6/d10/cut__rod_8cpp.html index 6d78b405a..19ba0d116 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/d7/d73/abbreviation_8cpp.html b/d7/d73/abbreviation_8cpp.html index 3722973c0..181548e00 100644 --- a/d7/d73/abbreviation_8cpp.html +++ b/d7/d73/abbreviation_8cpp.html @@ -141,7 +141,7 @@ 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):

  1. If a[i] and b[j] are equal, then move to next position
    2. diff --git a/d8/d90/iterative__tree__traversals_8cpp.html b/d8/d90/iterative__tree__traversals_8cpp.html index 3e6d60baa..6b5f02a15 100644 --- a/d8/d90/iterative__tree__traversals_8cpp.html +++ b/d8/d90/iterative__tree__traversals_8cpp.html @@ -158,13 +158,13 @@ Functions

    Detailed Description

    Iterative version of Preorder, Postorder, and preorder Traversal of the Tree

    Author
    Motasim
    -

    +

    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 20a095355..947a3d0d0 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

    Disjoint union

    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

    1. Depth first search
      2. diff --git a/da/d52/minimum__edit__distance_8cpp.html b/da/d52/minimum__edit__distance_8cpp.html index 51128f6bc..ec8c27c78 100644 --- a/da/d52/minimum__edit__distance_8cpp.html +++ b/da/d52/minimum__edit__distance_8cpp.html @@ -137,7 +137,7 @@ 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.

      1. 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.
        2. diff --git a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html new file mode 100644 index 000000000..de3b3ec97 --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html @@ -0,0 +1,425 @@ + + + + + + + +Algorithms_in_C++: divide_and_conquer/karatsuba_algorithm_for_fast_multiplication.cpp File Reference + + + + + + + + + + + + + + + +
        +
        + + + + + + +
        +
        Algorithms_in_C++ +  1.0.0 +
        +
        Set of algorithms implemented in C++.
        +
        +
        + + + + + + + +
        +
        + +
        +
        +
        + +
        + +
        +
        + + +
        + +
        + +
        +
        +Namespaces | +Functions
        +
        +
        karatsuba_algorithm_for_fast_multiplication.cpp File Reference
        +
        +
        + +

        Implementation of the Karatsuba algorithm for fast multiplication +More...

        +
        #include <cassert>
        +#include <cstring>
        +#include <iostream>
        +#include <vector>
        +
        +Include dependency graph for karatsuba_algorithm_for_fast_multiplication.cpp:
        +
        +
        +
        +
        +
        + + + + + + + +

        +Namespaces

         divide_and_conquer
         for std::vector
         
         karatsuba_algorithm
         Functions for the Karatsuba algorithm for fast multiplication
         
        + + + + + + + + + + + + + +

        +Functions

        std::string divide_and_conquer::karatsuba_algorithm::addStrings (std::string first, std::string second)
         Helper function for the main function, that implements Karatsuba's algorithm for fast multiplication. More...
         
        int64_t divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm (std::string str1, std::string str2)
         The main function implements Karatsuba's algorithm for fast multiplication. More...
         
        static void test ()
         Self-test implementations. More...
         
        int main ()
         Main function. More...
         
        +

        Detailed Description

        +

        Implementation of the Karatsuba algorithm for fast multiplication

        +

        Given two strings in binary notation we want to multiply them and return the value Simple approach is to multiply bits one by one which will give the time complexity of around O(n^2). To make it more efficient we will be using Karatsuba' algorithm to find the product which will solve the problem O(nlogn) of time.

        Author
        Swastika Gupta
        +

        Function Documentation

        + +

        ◆ addStrings()

        + +
        +
        + + + + + + + + + + + + + + + + + + +
        std::string divide_and_conquer::karatsuba_algorithm::addStrings (std::string first,
        std::string second 
        )
        +
        + +

        Helper function for the main function, that implements Karatsuba's algorithm for fast multiplication.

        +
        Parameters
        + + + +
        firstthe input string 1
        secondthe input string 2
        +
        +
        +
        Returns
        the concatenated string
        +
        37  {
        +
        38  std::string result; // To store the resulting sum bits
        +
        39 
        +
        40  int64_t len1 = first.size();
        +
        41  int64_t len2 = second.size();
        +
        42  int64_t length = std::max(len1, len2);
        +
        43  std::string zero = "0";
        +
        44  if (len1 < len2) // make the string lengths equal
        +
        45  {
        +
        46  for (int64_t i = 0; i < len2 - len1; i++) {
        +
        47  zero += first;
        +
        48  first = zero;
        +
        49  }
        +
        50  } else if (len1 > len2) {
        +
        51  zero = "0";
        +
        52  for (int64_t i = 0; i < len1 - len2; i++) {
        +
        53  zero += second;
        +
        54  second = zero;
        +
        55  }
        +
        56  }
        +
        57  int64_t carry = 0;
        +
        58  for (int64_t i = length - 1; i >= 0; i--) {
        +
        59  int64_t firstBit = first.at(i) - '0';
        +
        60  int64_t secondBit = second.at(i) - '0';
        +
        61 
        +
        62  int64_t sum = (firstBit ^ secondBit ^ carry) + '0'; // sum of 3 bits
        +
        63  std::string temp;
        +
        64  temp = std::to_string(sum);
        +
        65  temp += result;
        +
        66  result = temp;
        +
        67 
        +
        68  carry = (firstBit & secondBit) | (secondBit & carry) |
        +
        69  (firstBit & carry); // sum of 3 bits
        +
        70  }
        +
        71 
        +
        72  if (carry) {
        +
        73  result = '1' + result; // adding 1 incase of overflow
        +
        74  }
        +
        75  return result;
        +
        76 }
        +
        std::string::at
        T at(T... args)
        + +
        math::fibonacci_sum::result
        uint64_t result(uint64_t n)
        Definition: fibonacci_sum.cpp:76
        +
        std::max
        T max(T... args)
        +
        machine_learning::sum
        T sum(const std::vector< std::valarray< T >> &A)
        Definition: vector_ops.hpp:232
        +
        std::string::size
        T size(T... args)
        +
        std::to_string
        T to_string(T... args)
        +
        +Here is the call graph for this function:
        +
        +
        +
        +
        + +
        +
        + +

        ◆ karatsuba_algorithm()

        + +
        +
        + + + + + + + + + + + + + + + + + + +
        int64_t divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm (std::string str1,
        std::string str2 
        )
        +
        + +

        The main function implements Karatsuba's algorithm for fast multiplication.

        +
        Parameters
        + + + +
        str1the input string 1
        str2the input string 2
        +
        +
        +
        Returns
        the multiplicative number value
        +
        84  {
        +
        85  int64_t len1 = str1.size();
        +
        86  int64_t len2 = str2.size();
        +
        87  int64_t n = std::max(len1, len2);
        +
        88  std::string zero = "0";
        +
        89  if (len1 < len2) {
        +
        90  for (int64_t i = 0; i < len2 - len1; i++) {
        +
        91  zero += str1;
        +
        92  str1 = zero;
        +
        93  }
        +
        94  } else if (len1 > len2) {
        +
        95  zero = "0";
        +
        96  for (int64_t i = 0; i < len1 - len2; i++) {
        +
        97  zero += str2;
        +
        98  str2 = zero;
        +
        99  }
        +
        100  }
        +
        101  if (n == 0) {
        +
        102  return 0;
        +
        103  }
        +
        104  if (n == 1) {
        +
        105  return (str1[0] - '0') * (str2[0] - '0');
        +
        106  }
        +
        107  int64_t fh = n / 2; // first half of string
        +
        108  int64_t sh = (n - fh); // second half of string
        +
        109 
        +
        110  std::string Xl = str1.substr(0, fh); // first half of first string
        +
        111  std::string Xr = str1.substr(fh, sh); // second half of first string
        +
        112 
        +
        113  std::string Yl = str2.substr(0, fh); // first half of second string
        +
        114  std::string Yr = str2.substr(fh, sh); // second half of second string
        +
        115 
        +
        116  // Calculating the three products of inputs of size n/2 recursively
        +
        117  int64_t product1 = karatsuba_algorithm(Xl, Yl);
        +
        118  int64_t product2 = karatsuba_algorithm(Xr, Yr);
        +
        119  int64_t product3 = karatsuba_algorithm(
        +
        120  divide_and_conquer::karatsuba_algorithm::addStrings(Xl, Xr),
        +
        121  divide_and_conquer::karatsuba_algorithm::addStrings(Yl, Yr));
        +
        122 
        +
        123  return product1 * (1 << (2 * sh)) +
        +
        124  (product3 - product1 - product2) * (1 << sh) +
        +
        125  product2; // combining the three products to get the final result.
        +
        126 }
        +
        karatsuba_algorithm
        Functions for the Karatsuba algorithm for fast multiplication
        +
        std::string::substr
        T substr(T... args)
        +
        +Here is the call graph for this function:
        +
        +
        +
        +
        + +
        +
        + +

        ◆ main()

        + +
        +
        + + + + + + + + +
        int main (void )
        +
        + +

        Main function.

        +
        Returns
        0 on exit
        +
        164  {
        +
        165  test(); // run self-test implementations
        +
        166  return 0;
        +
        167 }
        +
        test
        static void test()
        Self-test implementations.
        Definition: karatsuba_algorithm_for_fast_multiplication.cpp:134
        +
        +Here is the call graph for this function:
        +
        +
        +
        +
        + +
        +
        + +

        ◆ test()

        + +
        +
        + + + + + +
        + + + + + + + +
        static void test ()
        +         		+static
        +
        + +

        Self-test implementations.

        +
        Returns
        void
        +
        134  {
        +
        135  // 1st test
        +
        136  std::string s11 = "1";
        +
        137  std::string s12 = "1010";
        +
        138  std::cout << "1st test... ";
        +
        139  assert(divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm(
        +
        140  s11, s12) == 10); // here the multiplication is 10
        +
        141  std::cout << "passed" << std::endl;
        +
        142 
        +
        143  // 2nd test
        +
        144  std::string s21 = "11";
        +
        145  std::string s22 = "1010";
        +
        146  std::cout << "2nd test... ";
        +
        147  assert(divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm(
        +
        148  s21, s22) == 30); // here the multiplication is 30
        +
        149  std::cout << "passed" << std::endl;
        +
        150 
        +
        151  // 3rd test
        +
        152  std::string s31 = "110";
        +
        153  std::string s32 = "1010";
        +
        154  std::cout << "3rd test... ";
        +
        155  assert(divide_and_conquer::karatsuba_algorithm::karatsuba_algorithm(
        +
        156  s31, s32) == 60); // here the multiplication is 60
        +
        157  std::cout << "passed" << std::endl;
        +
        158 }
        + +
        std::endl
        T endl(T... args)
        +
        +Here is the call graph for this function:
        +
        +
        +
        +
        + +
        +
        +
        +
        + + + + diff --git a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.js b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.js new file mode 100644 index 000000000..dd00fedc3 --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.js @@ -0,0 +1,7 @@ +var karatsuba__algorithm__for__fast__multiplication_8cpp = +[ + [ "addStrings", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#a7d1dbae365c7746295d3322e6f7f80b6", null ], + [ "karatsuba_algorithm", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#a7a890d2f26855ada3b9f1d43aec70a86", null ], + [ "main", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "test", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git 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+ + +machine_learning::sum + + + + + +Node2->Node6 + + + + + +Node7 + + +std::to_string + + + + + +Node2->Node7 + + + + + diff --git a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.map b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.map new file mode 100644 index 000000000..ea9f7cacc --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.map @@ -0,0 +1,8 @@ + + + + + + + + diff --git a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.md5 b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.md5 new file mode 100644 index 000000000..3d5b957e4 --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_a7d1dbae365c7746295d3322e6f7f80b6_cgraph.md5 @@ -0,0 +1 @@ +36e5f2abca7f8a84ca4bfc74857be3c4 \ 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a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..f33e17b94 --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +f1e919ae89d4579bee7f8ec3787bf499 \ No newline at end of file diff --git a/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..d71315ee7 --- /dev/null +++ b/da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,52 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +std::endl + + + + + +Node2->Node3 + + + + + diff --git a/db/d16/0__1__knapsack_8cpp.html b/db/d16/0__1__knapsack_8cpp.html index c0cfe26cd..81c519815 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 8eb7970bc..a8d85a1c6 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

        Author
        Ayush Singh
        diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html index 2050416db..17df5d494 100644 --- a/dd/d47/namespacemath.html +++ b/dd/d47/namespacemath.html @@ -146,7 +146,7 @@ Functions

        for std::cin and std::cout

        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.
        Author
        Ashish Daulatabad for assert for IO operations for std::vector STL
        diff --git a/dd/dba/namespacedivide__and__conquer.html b/dd/dba/namespacedivide__and__conquer.html new file mode 100644 index 000000000..34a3944a0 --- /dev/null +++ b/dd/dba/namespacedivide__and__conquer.html @@ -0,0 +1,114 @@ + + + + + + + +Algorithms_in_C++: divide_and_conquer Namespace Reference + + + + + + + + + + + + + + + +
        +
        + + + + + + +
        +
        Algorithms_in_C++ +  1.0.0 +
        +
        Set of algorithms implemented in C++.
        +
        +
        + + + + + + + +
        +
        + +
        +
        +
        + +
        + +
        +
        + + +
        + +
        + +
        +
        +
        divide_and_conquer Namespace Reference
        +
        +
        + +

        for std::vector +More...

        +

        Detailed Description

        +

        for std::vector

        +

        for assert for string for IO operations

        +

        Divide and Conquer algorithms

        +
        +
        + + + + diff --git a/de/d41/namespacekaratsuba__algorithm.html b/de/d41/namespacekaratsuba__algorithm.html new file mode 100644 index 000000000..e7be124e5 --- /dev/null +++ b/de/d41/namespacekaratsuba__algorithm.html @@ -0,0 +1,112 @@ + + + + + + + +Algorithms_in_C++: karatsuba_algorithm Namespace Reference + + + + + + + + + + + + + + + +
        +
        + + + + + + +
        +
        Algorithms_in_C++ +  1.0.0 +
        +
        Set of algorithms implemented in C++.
        +
        +
        + + + + + + + +
        +
        + +
        +
        +
        + +
        + +
        +
        + + +
        + +
        + +
        +
        +
        karatsuba_algorithm Namespace Reference
        +
        +
        + +

        Functions for the Karatsuba algorithm for fast multiplication +More...

        +

        Detailed Description

        +

        Functions for the Karatsuba algorithm for fast multiplication

        +
        +
        + + + + diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html index 52b7c4fe9..346554810 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

        diff --git a/dir_000002_000015.html b/dir_000002_000016.html similarity index 100% rename from dir_000002_000015.html rename to dir_000002_000016.html diff --git a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.map b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.map index 0f7379b4e..623879934 100644 --- a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.map +++ b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.map @@ -1,5 +1,5 @@ - + diff --git a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.md5 b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.md5 index 3e485cd10..5fd2b3301 100644 --- a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.md5 +++ b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.md5 @@ -1 +1 @@ -7106d5e10343b80648da62761f872fb3 \ No newline at end of file +92fa4d7ae23a16161aeff73e457c6e1f \ No newline at end of file diff --git a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.svg b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.svg index aac3b2129..778ebdd08 100644 --- a/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.svg +++ b/dir_4d6e05837bf820fb089a8a8cdf2f42b7_dep.svg @@ -32,7 +32,7 @@ dir_4d6e05837bf820fb089a8a8cdf2f42b7->dir_9c6faab82c22511b50177aa2e38e2780 - + 1 diff --git a/dir_93bc990c5cceb745f78af6949e9ef947.html b/dir_93bc990c5cceb745f78af6949e9ef947.html new file mode 100644 index 000000000..1d121d530 --- /dev/null +++ b/dir_93bc990c5cceb745f78af6949e9ef947.html @@ -0,0 +1,114 @@ + + + + + + + +Algorithms_in_C++: divide_and_conquer Directory Reference + + + + + + + + + + + + + + + +
        +
        + + + + + + +
        +
        Algorithms_in_C++ +  1.0.0 +
        +
        Set of algorithms implemented in C++.
        +
        +
        + + + + + + + +
        +
        + +
        +
        +
        + +
        + +
        +
        + + +
        + +
        + +
        +
        +
        divide_and_conquer Directory Reference
        +
        +
        + + + + + +

        +Files

        file  karatsuba_algorithm_for_fast_multiplication.cpp
         Implementation of the Karatsuba algorithm for fast multiplication
         
        +
        +
        + + + + diff --git a/dir_93bc990c5cceb745f78af6949e9ef947.js b/dir_93bc990c5cceb745f78af6949e9ef947.js new file mode 100644 index 000000000..38a80c977 --- /dev/null +++ b/dir_93bc990c5cceb745f78af6949e9ef947.js @@ -0,0 +1,4 @@ +var dir_93bc990c5cceb745f78af6949e9ef947 = +[ + [ "karatsuba_algorithm_for_fast_multiplication.cpp", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp.html", "da/dd3/karatsuba__algorithm__for__fast__multiplication_8cpp" ] +]; \ No newline at end of file diff --git a/files.html b/files.html index bb23d379f..4f03426e4 100644 --- a/files.html +++ b/files.html @@ -143,194 +143,196 @@ solve-a-rat-in-a-maze-c-java-pytho/"  trie_modern.cppA basic implementation of trie class to store only lower-case strings  trie_tree.cppImplementation of Trie data structure for English alphabets in small characters  trie_using_hashmap.cppImplementation of Trie data structure using HashMap for different characters and method for predicting words based on prefix - ► dynamic_programming - 0_1_knapsack.cppImplementation of 0-1 Knapsack Problem - abbreviation.cppImplementation of Abbrievation - coin_change_topdown.cppMinimum coins change problem is a problem used to find the minimum number of coins required to completely reach a target amount - cut_rod.cppImplementation of cutting a rod problem - house_robber.cppImplementation of House Robber Problem algorithm - kadane2.cppImplementation of Kadane Algorithm - longest_increasing_subsequence.cppCalculate the length of the longest increasing subsequence in an array - longest_palindromic_subsequence.cppProgram to find the Longest Palindormic Subsequence of a string - minimum_edit_distance.cppImplementation of Minimum Edit Distance using Dynamic Programing - palindrome_partitioning.cppImplements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make - shortest_common_supersequence.cppSCS is a string Z which is the shortest supersequence of strings X and Y (may not be continuous in Z, but order is maintained) - word_break.cppWord Break Problem - ► geometry - jarvis_algorithm.cppImplementation of Jarvis’s algorithm - line_segment_intersection.cppCheck whether two line segments intersect each other or not - ► graph - bidirectional_dijkstra.cppBidirectional Dijkstra Shortest Path Algorithm - breadth_first_search.cppBreadth First Search Algorithm (Breadth First Search) - connected_components.cpp<a href="https://en.wikipedia.org/wiki/Component_(graph_theory)" - connected_components_with_dsu.cppDisjoint union - depth_first_search.cppDepth First Search Algorithm (Depth First Search) - depth_first_search_with_stack.cppDepth First Search Algorithm using Stack (Depth First Search Algorithm) - dijkstra.cpp<a href="https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm" - hamiltons_cycle.cppThe implementation of Hamilton's cycle dynamic solution for vertices number less than 20 - hopcroft_karp.cppImplementation of Hopcroft–Karp algorithm - is_graph_bipartite.cppAlgorithm to check whether a graph is bipartite - lowest_common_ancestor.cppData structure for finding the lowest common ancestor of two vertices in a rooted tree using binary lifting - ► graphics - spirograph.cppImplementation of Spirograph - ► greedy_algorithms - jumpgame.cppImplementation of an algorithm to solve the jumping game problem - ► hashing - chaining.cppImplementation of hash chains - double_hash_hash_table.cppStorage mechanism using double-hashed keys - linear_probing_hash_table.cppStorage mechanism using linear probing hash keys - quadratic_probing_hash_table.cppStorage mechanism using quadratic probing hash keys - ► linear_algebra - gram_schmidt.cppGram Schmidt Orthogonalisation Process - ► machine_learning - adaline_learning.cppAdaptive Linear Neuron (ADALINE) implementation - kohonen_som_topology.cppKohonen self organizing map (topological map) - kohonen_som_trace.cppKohonen self organizing map (data tracing) - neural_network.cppImplementation of Multilayer Perceptron - ordinary_least_squares_regressor.cppLinear regression example using Ordinary least squares - vector_ops.hppVarious functions for vectors associated with <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron" - ► math - armstrong_number.cppProgram to check if a number is an Armstrong/Narcissistic number in decimal system - binary_exponent.cppC++ Program to find Binary Exponent Iteratively and Recursively - binomial_calculate.cppProgram to calculate Binomial coefficients - check_amicable_pair.cppA C++ Program to check whether a pair of number is amicable pair or not - check_factorial.cppA simple program to check if the given number is a factorial of some number or not - check_prime.cppReduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime - complex_numbers.cppAn implementation of Complex Number as Objects - double_factorial.cppCompute double factorial: \(n!!\) - eulers_totient_function.cppC++ Program to find Euler's Totient function - extended_euclid_algorithm.cppGCD using extended Euclid's algorithm - factorial.cppC++ program to find factorial of given number - fast_power.cppFaster computation for \(a^b\) - fibonacci.cppGenerate fibonacci sequence - fibonacci_fast.cppFaster computation of Fibonacci series - fibonacci_large.cppComputes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations - fibonacci_matrix_exponentiation.cppThis program computes the N^th Fibonacci number in modulo mod input argument - fibonacci_sum.cppAn algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) - gcd_iterative_euclidean.cppCompute the greatest common denominator of two integers using iterative form of Euclidean algorithm - gcd_of_n_numbers.cppThis program aims at calculating the GCD of n numbers by division method - gcd_recursive_euclidean.cppCompute the greatest common denominator of two integers using recursive form of Euclidean algorithm - integral_approximation.cppCompute integral approximation of the function using Riemann sum - large_factorial.cppCompute factorial of any arbitratily large number/ - large_number.hLibrary to perform arithmatic operations on arbitrarily large numbers - largest_power.cppAlgorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula - lcm_sum.cppAn algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) - least_common_multiple.cpp - magic_number.cppA simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number - miller_rabin.cpp - modular_division.cppAn algorithm to divide two numbers under modulo p Modular Division - modular_exponentiation.cppC++ Program for Modular Exponentiation Iteratively - modular_inverse_fermat_little_theorem.cppC++ Program to find the modular inverse using Fermat's Little Theorem - n_bonacci.cppImplementation of the N-bonacci series - n_choose_r.cppCombinations n choose r function implementation - ncr_modulo_p.cppThis program aims at calculating nCr modulo p - number_of_positive_divisors.cppC++ Program to calculate the number of positive divisors - power_for_huge_numbers.cppCompute powers of large numbers - power_of_two.cppImplementation to check whether a number is a power of 2 or not - prime_factorization.cppPrime factorization of positive integers - prime_numbers.cppGet list of prime numbers - primes_up_to_billion.cppCompute prime numbers upto 1 billion - realtime_stats.cppCompute statistics for data entered in rreal-time - sieve_of_eratosthenes.cppGet list of prime numbers using Sieve of Eratosthenes - sqrt_double.cppCalculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding - string_fibonacci.cppThis Programme returns the Nth fibonacci as a string - sum_of_binomial_coefficient.cppAlgorithm to find sum of binomial coefficients of a given positive integer - sum_of_digits.cppA C++ Program to find the Sum of Digits of input integer - vector_cross_product.cppCalculates the Cross Product and the magnitude of two mathematical 3D vectors - ► numerical_methods - bisection_method.cppSolve the equation \(f(x)=0\) using bisection method - brent_method_extrema.cppFind real extrema of a univariate real function in a given interval using Brent's method - durand_kerner_roots.cppCompute all possible approximate roots of any given polynomial using Durand Kerner algorithm - false_position.cppSolve the equation \(f(x)=0\) using false position method, also known as the Secant method - gaussian_elimination.cppGaussian elimination method - golden_search_extrema.cppFind extrema of a univariate real function in a given interval using golden section search algorithm - lu_decompose.cppLU decomposition of a square matrix - lu_decomposition.hFunctions associated with LU Decomposition of a square matrix - newton_raphson_method.cppSolve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions - ode_forward_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using forward Euler method - ode_midpoint_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method - ode_semi_implicit_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method - qr_decompose.hLibrary functions to compute QR decomposition of a given matrix - qr_decomposition.cppProgram to compute the QR decomposition of a given matrix - qr_eigen_values.cppCompute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method - rungekutta.cppRunge Kutta fourth order method implementation - successive_approximation.cppMethod of successive approximations using fixed-point iteration method - ► operations_on_datastructures - inorder_successor_of_bst.cppAn 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 - trie_multiple_search.cppTrie datastructure with search variants - ► others - buzz_number.cppA buzz number is a number that is either divisible by 7 or has last digit as 7 - decimal_to_binary.cppFunction to convert decimal number to binary representation - decimal_to_hexadecimal.cppConvert decimal number to hexadecimal representation - decimal_to_roman_numeral.cppThis Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral - fast_integer_input.cppRead integers from stdin continuously as they are entered without waiting for the \n character - happy_number.cppA happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1 - iterative_tree_traversals.cppIterative version of Preorder, Postorder, and preorder Traversal of the Tree - matrix_exponentiation.cppMatrix Exponentiation - palindrome_of_number.cppCheck if a number is palindrome or not - paranthesis_matching.cppPerform paranthesis matching - pascal_triangle.cppPascal's triangle implementation - postfix_evaluation.cppEvaluation of Postfix Expression - primality_test.cppPrimality test implementation - smallest_circle.cppGet centre and radius of the smallest circle that circumscribes given set of points - sparse_matrix.cpp - spiral_print.cppPrint the elements of a matrix traversing it spirally - stairs_pattern.cppThis program is use to print the following pattern - tower_of_hanoi.cppSolve the Tower of Hanoi problem - vector_important_functions.cppA C++ program to demonstrate working of std::sort(), std::reverse() - ► probability - addition_rule.cppAddition rule of probabilities - bayes_theorem.cppBayes' theorem - binomial_dist.cppBinomial distribution example - poisson_dist.cppPoisson statistics - ► range_queries - fenwick_tree.cppFenwick tree - heavy_light_decomposition.cppHeavy Light Decomposition implementation - persistent_seg_tree_lazy_prop.cppPersistent segment tree with range updates (lazy propagation) - sparse_table.cppImplementation of Sparse Table data structure - ► search - binary_search.cppBinary search algorithm - exponential_search.cppExponential search algorithm - fibonacci_search.cppFibonacci search algorithm - floyd_cycle_detection_algo.cppImplementation of Floyd's Cycle Detection algorithm - hash_search.cppHash Search Algorithm - Best Time Complexity Ω(1) - interpolation_search.cppInterpolation search algorithm - interpolation_search2.cppInterpolation search algorithm - jump_search.cppC++ program to implement Jump Search - linear_search.cppLinear search algorithm - median_search.cppImplementation of Median search algorithm. @cases from here - saddleback_search.cppImplementation of Saddleback Algorithm for 2D arrays - sublist_search.cppImplementation of the Sublist Search Algorithm - ternary_search.cppTernary search algorithm - text_search.cppSearch for words in a long textual paragraph - ► sorting - bogo_sort.cppImplementation of Bogosort algorithm - bubble_sort.cppBubble sort algorithm - comb_sort.cppComb Sort Algorithm (Comb Sort) - count_inversions.cppCounting Inversions using Merge Sort - cycle_sort.cppImplementation of Cycle sort algorithm - gnome_sort.cppImplementation of gnome sort algorithm - heap_sort.cppHeap Sort Algorithm (heap sort) implementation - insertion_sort.cppInsertion Sort Algorithm (Insertion Sort) - merge_insertion_sort.cppAlgorithm that combines insertion sort and merge sort. Wiki link - merge_sort.cppMerege Sort Algorithm (MEREGE SORT) implementation - non_recursive_merge_sort.cpp - pancake_sort.cppPancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips - pigeonhole_sort.cppImplementation of Pigeonhole Sort algorithm - quick_sort.cppQuick sort algorithm - quick_sort_3.cppImplementation Details - radix_sort2.cppAlgorithm of Radix sort - random_pivot_quick_sort.cppImplementation of the Random Pivot Quick Sort algorithm - recursive_bubble_sort.cppThis is an implementation of a recursive version of the Bubble sort algorithm - shell_sort2.cppShell sort algorithm - strand_sort.cppImplementation of Strand Sort algorithm - wave_sort.cppImplementation of the Wave sort algorithm - wiggle_sort.cppWiggle Sort Algorithm Implementation - ► strings - brute_force_string_searching.cppString pattern search - brute force - horspool.cppHorspool's algorithm that finds if a string contains a substring (https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm) - knuth_morris_pratt.cppThe Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m) - rabin_karp.cppThe Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m) + ► divide_and_conquer + karatsuba_algorithm_for_fast_multiplication.cppImplementation of the Karatsuba algorithm for fast multiplication + ► dynamic_programming + 0_1_knapsack.cppImplementation of 0-1 Knapsack Problem + abbreviation.cppImplementation of Abbrievation + coin_change_topdown.cppMinimum coins change problem is a problem used to find the minimum number of coins required to completely reach a target amount + cut_rod.cppImplementation of cutting a rod problem + house_robber.cppImplementation of House Robber Problem algorithm + kadane2.cppImplementation of Kadane Algorithm + longest_increasing_subsequence.cppCalculate the length of the longest increasing subsequence in an array + longest_palindromic_subsequence.cppProgram to find the Longest Palindormic Subsequence of a string + minimum_edit_distance.cppImplementation of Minimum Edit Distance using Dynamic Programing + palindrome_partitioning.cppImplements Palindrome Partitioning algorithm, giving you the minimum number of partitions you need to make + shortest_common_supersequence.cppSCS is a string Z which is the shortest supersequence of strings X and Y (may not be continuous in Z, but order is maintained) + word_break.cppWord Break Problem + ► geometry + jarvis_algorithm.cppImplementation of Jarvis’s algorithm + line_segment_intersection.cppCheck whether two line segments intersect each other or not + ► graph + bidirectional_dijkstra.cppBidirectional Dijkstra Shortest Path Algorithm + breadth_first_search.cppBreadth First Search Algorithm (Breadth First Search) + connected_components.cpp<a href="https://en.wikipedia.org/wiki/Component_(graph_theory)" + connected_components_with_dsu.cppDisjoint union + depth_first_search.cppDepth First Search Algorithm (Depth First Search) + depth_first_search_with_stack.cppDepth First Search Algorithm using Stack (Depth First Search Algorithm) + dijkstra.cpp<a href="https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm" + hamiltons_cycle.cppThe implementation of Hamilton's cycle dynamic solution for vertices number less than 20 + hopcroft_karp.cppImplementation of Hopcroft–Karp algorithm + is_graph_bipartite.cppAlgorithm to check whether a graph is bipartite + lowest_common_ancestor.cppData structure for finding the lowest common ancestor of two vertices in a rooted tree using binary lifting + ► graphics + spirograph.cppImplementation of Spirograph + ► greedy_algorithms + jumpgame.cppImplementation of an algorithm to solve the jumping game problem + ► hashing + chaining.cppImplementation of hash chains + double_hash_hash_table.cppStorage mechanism using double-hashed keys + linear_probing_hash_table.cppStorage mechanism using linear probing hash keys + quadratic_probing_hash_table.cppStorage mechanism using quadratic probing hash keys + ► linear_algebra + gram_schmidt.cppGram Schmidt Orthogonalisation Process + ► machine_learning + adaline_learning.cppAdaptive Linear Neuron (ADALINE) implementation + kohonen_som_topology.cppKohonen self organizing map (topological map) + kohonen_som_trace.cppKohonen self organizing map (data tracing) + neural_network.cppImplementation of Multilayer Perceptron + ordinary_least_squares_regressor.cppLinear regression example using Ordinary least squares + vector_ops.hppVarious functions for vectors associated with <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron" + ► math + armstrong_number.cppProgram to check if a number is an Armstrong/Narcissistic number in decimal system + binary_exponent.cppC++ Program to find Binary Exponent Iteratively and Recursively + binomial_calculate.cppProgram to calculate Binomial coefficients + check_amicable_pair.cppA C++ Program to check whether a pair of number is amicable pair or not + check_factorial.cppA simple program to check if the given number is a factorial of some number or not + check_prime.cppReduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime + complex_numbers.cppAn implementation of Complex Number as Objects + double_factorial.cppCompute double factorial: \(n!!\) + eulers_totient_function.cppC++ Program to find Euler's Totient function + extended_euclid_algorithm.cppGCD using extended Euclid's algorithm + factorial.cppC++ program to find factorial of given number + fast_power.cppFaster computation for \(a^b\) + fibonacci.cppGenerate fibonacci sequence + fibonacci_fast.cppFaster computation of Fibonacci series + fibonacci_large.cppComputes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations + fibonacci_matrix_exponentiation.cppThis program computes the N^th Fibonacci number in modulo mod input argument + fibonacci_sum.cppAn algorithm to calculate the sum of Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) + gcd_iterative_euclidean.cppCompute the greatest common denominator of two integers using iterative form of Euclidean algorithm + gcd_of_n_numbers.cppThis program aims at calculating the GCD of n numbers by division method + gcd_recursive_euclidean.cppCompute the greatest common denominator of two integers using recursive form of Euclidean algorithm + integral_approximation.cppCompute integral approximation of the function using Riemann sum + large_factorial.cppCompute factorial of any arbitratily large number/ + large_number.hLibrary to perform arithmatic operations on arbitrarily large numbers + largest_power.cppAlgorithm to find largest x such that p^x divides n! (factorial) using Legendre's Formula + lcm_sum.cppAn algorithm to calculate the sum of LCM: \(\mathrm{LCM}(1,n) + \mathrm{LCM}(2,n) + \ldots + \mathrm{LCM}(n,n)\) + least_common_multiple.cpp + magic_number.cppA simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number + miller_rabin.cpp + modular_division.cppAn algorithm to divide two numbers under modulo p Modular Division + modular_exponentiation.cppC++ Program for Modular Exponentiation Iteratively + modular_inverse_fermat_little_theorem.cppC++ Program to find the modular inverse using Fermat's Little Theorem + n_bonacci.cppImplementation of the N-bonacci series + n_choose_r.cppCombinations n choose r function implementation + ncr_modulo_p.cppThis program aims at calculating nCr modulo p + number_of_positive_divisors.cppC++ Program to calculate the number of positive divisors + power_for_huge_numbers.cppCompute powers of large numbers + power_of_two.cppImplementation to check whether a number is a power of 2 or not + prime_factorization.cppPrime factorization of positive integers + prime_numbers.cppGet list of prime numbers + primes_up_to_billion.cppCompute prime numbers upto 1 billion + realtime_stats.cppCompute statistics for data entered in rreal-time + sieve_of_eratosthenes.cppGet list of prime numbers using Sieve of Eratosthenes + sqrt_double.cppCalculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding + string_fibonacci.cppThis Programme returns the Nth fibonacci as a string + sum_of_binomial_coefficient.cppAlgorithm to find sum of binomial coefficients of a given positive integer + sum_of_digits.cppA C++ Program to find the Sum of Digits of input integer + vector_cross_product.cppCalculates the Cross Product and the magnitude of two mathematical 3D vectors + ► numerical_methods + bisection_method.cppSolve the equation \(f(x)=0\) using bisection method + brent_method_extrema.cppFind real extrema of a univariate real function in a given interval using Brent's method + durand_kerner_roots.cppCompute all possible approximate roots of any given polynomial using Durand Kerner algorithm + false_position.cppSolve the equation \(f(x)=0\) using false position method, also known as the Secant method + gaussian_elimination.cppGaussian elimination method + golden_search_extrema.cppFind extrema of a univariate real function in a given interval using golden section search algorithm + lu_decompose.cppLU decomposition of a square matrix + lu_decomposition.hFunctions associated with LU Decomposition of a square matrix + newton_raphson_method.cppSolve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions + ode_forward_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using forward Euler method + ode_midpoint_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method + ode_semi_implicit_euler.cppSolve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method + qr_decompose.hLibrary functions to compute QR decomposition of a given matrix + qr_decomposition.cppProgram to compute the QR decomposition of a given matrix + qr_eigen_values.cppCompute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method + rungekutta.cppRunge Kutta fourth order method implementation + successive_approximation.cppMethod of successive approximations using fixed-point iteration method + ► operations_on_datastructures + inorder_successor_of_bst.cppAn 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 + trie_multiple_search.cppTrie datastructure with search variants + ► others + buzz_number.cppA buzz number is a number that is either divisible by 7 or has last digit as 7 + decimal_to_binary.cppFunction to convert decimal number to binary representation + decimal_to_hexadecimal.cppConvert decimal number to hexadecimal representation + decimal_to_roman_numeral.cppThis Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral + fast_integer_input.cppRead integers from stdin continuously as they are entered without waiting for the \n character + happy_number.cppA happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1 + iterative_tree_traversals.cppIterative version of Preorder, Postorder, and preorder Traversal of the Tree + matrix_exponentiation.cppMatrix Exponentiation + palindrome_of_number.cppCheck if a number is palindrome or not + paranthesis_matching.cppPerform paranthesis matching + pascal_triangle.cppPascal's triangle implementation + postfix_evaluation.cppEvaluation of Postfix Expression + primality_test.cppPrimality test implementation + smallest_circle.cppGet centre and radius of the smallest circle that circumscribes given set of points + sparse_matrix.cpp + spiral_print.cppPrint the elements of a matrix traversing it spirally + stairs_pattern.cppThis program is use to print the following pattern + tower_of_hanoi.cppSolve the Tower of Hanoi problem + vector_important_functions.cppA C++ program to demonstrate working of std::sort(), std::reverse() + ► probability + addition_rule.cppAddition rule of probabilities + bayes_theorem.cppBayes' theorem + binomial_dist.cppBinomial distribution example + poisson_dist.cppPoisson statistics + ► range_queries + fenwick_tree.cppFenwick tree + heavy_light_decomposition.cppHeavy Light Decomposition implementation + persistent_seg_tree_lazy_prop.cppPersistent segment tree with range updates (lazy propagation) + sparse_table.cppImplementation of Sparse Table data structure + ► search + binary_search.cppBinary search algorithm + exponential_search.cppExponential search algorithm + fibonacci_search.cppFibonacci search algorithm + floyd_cycle_detection_algo.cppImplementation of Floyd's Cycle Detection algorithm + hash_search.cppHash Search Algorithm - Best Time Complexity Ω(1) + interpolation_search.cppInterpolation search algorithm + interpolation_search2.cppInterpolation search algorithm + jump_search.cppC++ program to implement Jump Search + linear_search.cppLinear search algorithm + median_search.cppImplementation of Median search algorithm. @cases from here + saddleback_search.cppImplementation of Saddleback Algorithm for 2D arrays + sublist_search.cppImplementation of the Sublist Search Algorithm + ternary_search.cppTernary search algorithm + text_search.cppSearch for words in a long textual paragraph + ► sorting + bogo_sort.cppImplementation of Bogosort algorithm + bubble_sort.cppBubble sort algorithm + comb_sort.cppComb Sort Algorithm (Comb Sort) + count_inversions.cppCounting Inversions using Merge Sort + cycle_sort.cppImplementation of Cycle sort algorithm + gnome_sort.cppImplementation of gnome sort algorithm + heap_sort.cppHeap Sort Algorithm (heap sort) implementation + insertion_sort.cppInsertion Sort Algorithm (Insertion Sort) + merge_insertion_sort.cppAlgorithm that combines insertion sort and merge sort. Wiki link + merge_sort.cppMerege Sort Algorithm (MEREGE SORT) implementation + non_recursive_merge_sort.cpp + pancake_sort.cppPancake sort sorts a disordered stack of pancakes by flipping any number of pancakes using a spatula using minimum number of flips + pigeonhole_sort.cppImplementation of Pigeonhole Sort algorithm + quick_sort.cppQuick sort algorithm + quick_sort_3.cppImplementation Details + radix_sort2.cppAlgorithm of Radix sort + random_pivot_quick_sort.cppImplementation of the Random Pivot Quick Sort algorithm + recursive_bubble_sort.cppThis is an implementation of a recursive version of the Bubble sort algorithm + shell_sort2.cppShell sort algorithm + strand_sort.cppImplementation of Strand Sort algorithm + wave_sort.cppImplementation of the Wave sort algorithm + wiggle_sort.cppWiggle Sort Algorithm Implementation + ► strings + brute_force_string_searching.cppString pattern search - brute force + horspool.cppHorspool's algorithm that finds if a string contains a substring (https://en.wikipedia.org/wiki/Boyer%E2%80%93Moore%E2%80%93Horspool_algorithm) + knuth_morris_pratt.cppThe Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m) + rabin_karp.cppThe Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m)
      diff --git a/files_dup.js b/files_dup.js index 1c7b2311f..927c6694b 100644 --- a/files_dup.js +++ b/files_dup.js @@ -4,6 +4,7 @@ var files_dup = [ "bit_manipulation", "dir_f3c4fbc4e901afa0a54d0623c5574aa7.html", "dir_f3c4fbc4e901afa0a54d0623c5574aa7" ], [ "ciphers", "dir_4d6e05837bf820fb089a8a8cdf2f42b7.html", "dir_4d6e05837bf820fb089a8a8cdf2f42b7" ], [ "data_structures", "dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html", "dir_2e746e9d06bf2d8ff842208bcc6ebcfc" ], + [ "divide_and_conquer", "dir_93bc990c5cceb745f78af6949e9ef947.html", "dir_93bc990c5cceb745f78af6949e9ef947" ], [ "dynamic_programming", "dir_8a20dd5bfd5341a725342bf72b6b686f.html", "dir_8a20dd5bfd5341a725342bf72b6b686f" ], [ "geometry", "dir_e3380d2178455503f266746fb14246a5.html", "dir_e3380d2178455503f266746fb14246a5" ], [ "graph", "dir_12552d7fa429bf94a2e32e5cf39f7e69.html", "dir_12552d7fa429bf94a2e32e5cf39f7e69" ], diff --git a/globals_func_i.html b/globals_func_i.html index d419feb46..2037df291 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
    2. is_square() : ordinary_least_squares_regressor.cpp
      3. -
    3. IsPrime() -: primality_test.cpp -
    4. isPrime() : modular_inverse_fermat_little_theorem.cpp
      5. +
    5. IsPrime() +: primality_test.cpp +
    6. it_ternary_search() : ternary_search.cpp
      7. diff --git a/globals_func_m.html b/globals_func_m.html index ec78c7e50..73acfcea5 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -127,6 +127,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , trie_modern.cpp , trie_tree.cpp , trie_using_hashmap.cpp +, karatsuba_algorithm_for_fast_multiplication.cpp , 0_1_knapsack.cpp , abbreviation.cpp , coin_change_topdown.cpp diff --git a/globals_func_t.html b/globals_func_t.html index bcfe1e6bc..075a37744 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -113,6 +113,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl , sparse_table.cpp , trie_tree.cpp , trie_using_hashmap.cpp +, karatsuba_algorithm_for_fast_multiplication.cpp , 0_1_knapsack.cpp , abbreviation.cpp , coin_change_topdown.cpp diff --git a/globals_i.html b/globals_i.html index e0a80ea03..0e3b0d811 100644 --- a/globals_i.html +++ b/globals_i.html @@ -127,14 +127,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
    7. is_square() : ordinary_least_squares_regressor.cpp
      8. -
    8. IsPrime() -: primality_test.cpp +
    9. isPrime() +: modular_inverse_fermat_little_theorem.cpp
    10. isprime : prime_factorization.cpp
      11. -
    11. isPrime() -: modular_inverse_fermat_little_theorem.cpp +
    12. IsPrime() +: primality_test.cpp
    13. it_ternary_search() : ternary_search.cpp diff --git a/globals_m.html b/globals_m.html index cff3f1311..dc05172a4 100644 --- a/globals_m.html +++ b/globals_m.html @@ -127,6 +127,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , trie_modern.cpp , trie_tree.cpp , trie_using_hashmap.cpp +, karatsuba_algorithm_for_fast_multiplication.cpp , 0_1_knapsack.cpp , abbreviation.cpp , coin_change_topdown.cpp diff --git a/globals_t.html b/globals_t.html index a96384888..9a9a89dcd 100644 --- a/globals_t.html +++ b/globals_t.html @@ -113,6 +113,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable(); , sparse_table.cpp , trie_tree.cpp , trie_using_hashmap.cpp +, karatsuba_algorithm_for_fast_multiplication.cpp , 0_1_knapsack.cpp , abbreviation.cpp , coin_change_topdown.cpp diff --git a/index.html b/index.html index 1f62bb9e6..eddd83466 100644 --- a/index.html +++ b/index.html @@ -96,10 +96,10 @@ $(document).ready(function(){initNavTree('index.html',''); initResizable(); });

      Gitpod Ready-to-Code Language grade: C/C++ CodeQL CI Gitter chat contributions welcome GitHub repo size Doxygen CI Awesome CI Income Discord chat Donate

      -

      +

      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
      Creative Commons LicenseCredit must be given to the creatorAdaptations must be shared under the same terms

      -

      +

      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 76cc12229..0138c4e4e 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -223,12 +223,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
    14. isPossible() : backtracking
      15. -
    15. isSafe() -: backtracking -
    16. issafe() : backtracking
      17. +
    17. isSafe() +: backtracking +
      18. @@ -366,12 +366,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
    18. quadraticProbe() : quadratic_probing
      19. -
    19. quickSort() -: sorting -
    20. quicksort() : sorting
      21. +
    21. quickSort() +: sorting +
      22. diff --git a/namespacemembers_func.html b/namespacemembers_func.html index c2c007a17..0c64c200b 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -223,12 +223,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
    22. isPossible() : backtracking
      23. -
    23. isSafe() -: backtracking -
    24. issafe() : backtracking
      25. +
    25. isSafe() +: backtracking +
      26. @@ -354,12 +354,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
    26. quadraticProbe() : quadratic_probing
      27. -
    27. quickSort() -: sorting -
    28. quicksort() : sorting
      29. +
    29. quickSort() +: sorting +
      30. diff --git a/namespaces.html b/namespaces.html index 30f1fb490..d06908f98 100644 --- a/namespaces.html +++ b/namespaces.html @@ -140,153 +140,155 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();  CtrieTrie implementation for small-case English alphabets a-z  Ndepth_first_searchFunctions for Depth First Search algorithm  Ndisjoint_unionFunctions for Disjoint union implementation - ►Ndouble_hashingAn implementation of hash table using double hashing algorithm - CEntry - Ndynamic_programmingDynamic Programming algorithms - Nfalse_positionFunctions for False Position method - Nfibonacci_sumFunctions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) - ►NgeometryGeometry algorithms - ►Njarvis - CPoint - CConvexhull - Ngram_schmidtFunctions for Gram Schmidt Orthogonalisation Process - ►NgraphGraph Algorithms - Nbidirectional_dijkstra - Ndepth_first_search - Ndisjoint_union - ►Nis_graph_bipartite - CGraphClass for representing graph as an adjacency list - CGraph - CHKGraphRepresents Bipartite graph for Hopcroft Karp implementation - CRootedTree - CLowestCommonAncestor - Nhamming_distanceFunctions for Hamming distance implementation - Nheavy_light_decompositionHeavy light decomposition algorithm - NhorspoolFunctions for Horspool's algorithm - Nhouse_robberFunctions for the House Robber algorithm - Ninorder_successor_of_bstFunctions for the Inorder successor of a binary search tree implementation - NinversionFunctions for counting inversions using Merge Sort algorithm - Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not - Niterative_tree_traversalsFunctions for the Traversal of the Tree algorithm - NjarvisFunctions for Jarvis’s algorithm - NkadaneFunctions for Kadane algorithm - NKnapsackImplementation of 0-1 Knapsack problem - NlayersThis namespace contains layers used in MLP - Nlinear_algebraFor io operations - ►Nlinear_probingAn implementation of hash table using linear probing algorithm - CEntry - Nlinear_recurrence_matrixFunctions for Linear Recurrence Matrix implementation - Nlinked_listFunctions for singly linked list algorithm - Nlist_arrayFunctions for Dynamic Array algorithm - ►Nmachine_learningA* search algorithm - ►Naystar_search - CEightPuzzleA class defining EightPuzzle/15-Puzzle game - ►CAyStarSearchA class defining A* search algorithm. for some initial state and final state - Ccomparison_operatorCustom comparator for open_list - CInfoStruct that handles all the information related to the current state - ►Nneural_network - Nactivations - ►Nlayers - CDenseLayer - Nutil_functions - CNeuralNetwork - Cadaline - Nmagic_sequenceFunctions for the Magic sequence implementation - ►NmathFor IO operations - Nbinomial - Nfibonacci_sum - Nlinear_recurrence_matrix - Nmodular_division - Nn_bonacci - ►Nncr_modulo_p - CNCRModuloPClass which contains all methods required for calculating nCr mod p - Nvector_cross - Nmedian_searchFunctions for Median search algorithm - Nmerge_insertionCombined Intersion-Merge sorting algorithm - Nmincoins_topdownFunctions for minimum coin exchange problem - NMinimumImplementation of Minimum Edit Distance algorithm - Nmodular_divisionFunctions for Modular Division implementation - NmorseFunctions for Morse Code - Nn_bonacciFunctions for the N-bonacci implementation - Nn_queensFunctions for Eight Queens puzzle - Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions - Nn_queens_optimizedFunctions for Eight Queens puzzle optimized - Nncr_modulo_pFunctions for nCr modulo p implementation - Nneural_networkNeural Network or Multilayer Perceptron - Nnumerical_methodsFor io operations - ►Noperations_on_datastructuresFor std::vector - ►Ninorder_traversal_of_bst - CNodeA Node structure representing a single node in BST - ►Ntrie_operations - CTnodeClass defining the structure of trie node and containing the methods to perform operations on them - ►NothersFor vector - ►Niterative_tree_traversals - CNodeDefines the structure of a node of the tree - CBinaryTreeDefines the functions associated with the binary tree - ►Npostfix_expression - CStackCreates an array to be used as stack for storing values - Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm - Npancake_sortFunctions for Pancake sort algorithm - Npostfix_expressionFunctions for Postfix Expression algorithm - Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix - ►Nquadratic_probingAn implementation of hash table using quadratic probing algorithm - CEntry - Nqueue_using_arrayFunctions for Queue using Array implementation - Nradix_sortFunctions for Radix sort algorithm - Nrandom_pivot_quick_sortFunctions for the Random Pivot Quick Sort implementation - ►Nrange_queriesAlgorithms and Data Structures that support range queries and updates - ►Nheavy_light_decomposition - CTreeA Basic Tree, which supports binary lifting - CSGSegment Tree, to store heavy chains - CHLDThe Heavy-Light Decomposition class - Nsparse_table - ►CperSegTreeRange query here is range sum, but the code can be modified to make different queries like range max or min - CNode - Nrat_mazeFunctions for <a href="https://www.codesdope.com/blog/article/backtracking-to- + Ndivide_and_conquerFor std::vector + ►Ndouble_hashingAn implementation of hash table using double hashing algorithm + CEntry + Ndynamic_programmingDynamic Programming algorithms + Nfalse_positionFunctions for False Position method + Nfibonacci_sumFunctions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\) + ►NgeometryGeometry algorithms + ►Njarvis + CPoint + CConvexhull + Ngram_schmidtFunctions for Gram Schmidt Orthogonalisation Process + ►NgraphGraph Algorithms + Nbidirectional_dijkstra + Ndepth_first_search + Ndisjoint_union + ►Nis_graph_bipartite + CGraphClass for representing graph as an adjacency list + CGraph + CHKGraphRepresents Bipartite graph for Hopcroft Karp implementation + CRootedTree + CLowestCommonAncestor + Nhamming_distanceFunctions for Hamming distance implementation + Nheavy_light_decompositionHeavy light decomposition algorithm + NhorspoolFunctions for Horspool's algorithm + Nhouse_robberFunctions for the House Robber algorithm + Ninorder_successor_of_bstFunctions for the Inorder successor of a binary search tree implementation + NinversionFunctions for counting inversions using Merge Sort algorithm + Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not + Niterative_tree_traversalsFunctions for the Traversal of the Tree algorithm + NjarvisFunctions for Jarvis’s algorithm + NkadaneFunctions for Kadane algorithm + Nkaratsuba_algorithmFunctions for the Karatsuba algorithm for fast multiplication + NKnapsackImplementation of 0-1 Knapsack problem + NlayersThis namespace contains layers used in MLP + Nlinear_algebraFor io operations + ►Nlinear_probingAn implementation of hash table using linear probing algorithm + CEntry + Nlinear_recurrence_matrixFunctions for Linear Recurrence Matrix implementation + Nlinked_listFunctions for singly linked list algorithm + Nlist_arrayFunctions for Dynamic Array algorithm + ►Nmachine_learningA* search algorithm + ►Naystar_search + CEightPuzzleA class defining EightPuzzle/15-Puzzle game + ►CAyStarSearchA class defining A* search algorithm. for some initial state and final state + Ccomparison_operatorCustom comparator for open_list + CInfoStruct that handles all the information related to the current state + ►Nneural_network + Nactivations + ►Nlayers + CDenseLayer + Nutil_functions + CNeuralNetwork + Cadaline + Nmagic_sequenceFunctions for the Magic sequence implementation + ►NmathFor IO operations + Nbinomial + Nfibonacci_sum + Nlinear_recurrence_matrix + Nmodular_division + Nn_bonacci + ►Nncr_modulo_p + CNCRModuloPClass which contains all methods required for calculating nCr mod p + Nvector_cross + Nmedian_searchFunctions for Median search algorithm + Nmerge_insertionCombined Intersion-Merge sorting algorithm + Nmincoins_topdownFunctions for minimum coin exchange problem + NMinimumImplementation of Minimum Edit Distance algorithm + Nmodular_divisionFunctions for Modular Division implementation + NmorseFunctions for Morse Code + Nn_bonacciFunctions for the N-bonacci implementation + Nn_queensFunctions for Eight Queens puzzle + Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions + Nn_queens_optimizedFunctions for Eight Queens puzzle optimized + Nncr_modulo_pFunctions for nCr modulo p implementation + Nneural_networkNeural Network or Multilayer Perceptron + Nnumerical_methodsFor io operations + ►Noperations_on_datastructuresFor std::vector + ►Ninorder_traversal_of_bst + CNodeA Node structure representing a single node in BST + ►Ntrie_operations + CTnodeClass defining the structure of trie node and containing the methods to perform operations on them + ►NothersFor vector + ►Niterative_tree_traversals + CNodeDefines the structure of a node of the tree + CBinaryTreeDefines the functions associated with the binary tree + ►Npostfix_expression + CStackCreates an array to be used as stack for storing values + Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm + Npancake_sortFunctions for Pancake sort algorithm + Npostfix_expressionFunctions for Postfix Expression algorithm + Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix + ►Nquadratic_probingAn implementation of hash table using quadratic probing algorithm + CEntry + Nqueue_using_arrayFunctions for Queue using Array implementation + Nradix_sortFunctions for Radix sort algorithm + Nrandom_pivot_quick_sortFunctions for the Random Pivot Quick Sort implementation + ►Nrange_queriesAlgorithms and Data Structures that support range queries and updates + ►Nheavy_light_decomposition + CTreeA Basic Tree, which supports binary lifting + CSGSegment Tree, to store heavy chains + CHLDThe Heavy-Light Decomposition class + Nsparse_table + ►CperSegTreeRange query here is range sum, but the code can be modified to make different queries like range max or min + CNode + Nrat_mazeFunctions for <a href="https://www.codesdope.com/blog/article/backtracking-to- solve-a-rat-in-a-maze-c-java-pytho/" - Nrunge_kuttaFunctions for Runge Kutta fourth order method - NsaddlebackFunction for implementing Saddleback Algorithm - ►NsearchFor std::vector - Ncycle_detection - Nmedian_search - Nsaddleback - ►Nsublist_search - CNodeA Node structure representing a single link Node in a linked list - Nshortest_common_supersequenceShortest Common Super Sequence algorithm - NsortingSorting algorithms - Nsparse_tableFunctions for Implementation of Sparse Table - Nspirograph - ►NstatisticsStatistical algorithms - Cstats_computer1 - Cstats_computer2 - ►NstdSTL namespace - Nchrono - Nexperimental - Nrel_ops - Nthis_thread - Cis_integral< uint128_t > - Cis_arithmetic< uint128_t > - Cis_unsigned< uint128_t > - Cis_integral< uint256_t > - Cis_arithmetic< uint256_t > - Cis_unsigned< uint256_t > - NstrandFunctions for Strand Sort algorithm - Nstring_searchString search algorithms - NstringsAlgorithms with strings - Nsubarray_sumFunctions for the Subset sum implementation - Nsublist_searchFunctions for the Sublist Search implementation - NSubsetsFunctions for the Subset Sum problem - Ntree_234Functions for 2–3–4 tree - Ntrie_operationsFunctions for Trie datastructure implementation - Ntrie_using_hashmapFunctions for Trie data structure using hashmap implementation - Nutil_functionsVarious utility functions used in Neural network - Nvector_crossFunctions for Vector Cross Product algorithms - NvigenereFunctions for vigenère cipher algorithm - Nwave_sortFunctions for the Wave sort implementation - Nwiggle_sortFunctions for Wiggle Sort algorithm - Nwildcard_matchingFunctions for the Wildcard Matching problem - Nword_breakFunctions for Word Break problem - NXORFunctions for XOR cipher algorithm + Nrunge_kuttaFunctions for Runge Kutta fourth order method + NsaddlebackFunction for implementing Saddleback Algorithm + ►NsearchFor std::vector + Ncycle_detection + Nmedian_search + Nsaddleback + ►Nsublist_search + CNodeA Node structure representing a single link Node in a linked list + Nshortest_common_supersequenceShortest Common Super Sequence algorithm + NsortingSorting algorithms + Nsparse_tableFunctions for Implementation of Sparse Table + Nspirograph + ►NstatisticsStatistical algorithms + Cstats_computer1 + Cstats_computer2 + ►NstdSTL namespace + Nchrono + Nexperimental + Nrel_ops + Nthis_thread + Cis_integral< uint128_t > + Cis_arithmetic< uint128_t > + Cis_unsigned< uint128_t > + Cis_integral< uint256_t > + Cis_arithmetic< uint256_t > + Cis_unsigned< uint256_t > + NstrandFunctions for Strand Sort algorithm + Nstring_searchString search algorithms + NstringsAlgorithms with strings + Nsubarray_sumFunctions for the Subset sum implementation + Nsublist_searchFunctions for the Sublist Search implementation + NSubsetsFunctions for the Subset Sum problem + Ntree_234Functions for 2–3–4 tree + Ntrie_operationsFunctions for Trie datastructure implementation + Ntrie_using_hashmapFunctions for Trie data structure using hashmap implementation + Nutil_functionsVarious utility functions used in Neural network + Nvector_crossFunctions for Vector Cross Product algorithms + NvigenereFunctions for vigenère cipher algorithm + Nwave_sortFunctions for the Wave sort implementation + Nwiggle_sortFunctions for Wiggle Sort algorithm + Nwildcard_matchingFunctions for the Wildcard Matching problem + Nword_breakFunctions for Word Break problem + NXORFunctions for XOR cipher algorithm
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