Programming Articles - Page 1500 of 3366

The determinant of a matrix can be calculated only for a square matrix by multiplying the first row cofactor by the determinant of the corresponding cofactor and adding them with alternate signs to get the final result.$$A = \begin{bmatrix}a & b & c\d & e &f \g & h &i \ \end{bmatrix} |A| = a(ei-fh)-b(di-gf)+c(dh-eg)$$First we have the determinantOfMatrix(int mat[N][N], int dimension) function that takes the matrix and the dimension value of the matrix. If the matrix is of only 1 dimension then it returns the [0][0] matrix value. This condition is also used as a base condition since we ... Read More

A number whose sum of its digits powered with its respective position equals to the number itself is called a disarium number.The noOfDigits(int num) function takes the number and return the number of digits by constantly dividing the number by 10 while there is only ones place left. On each iteration the digits variable is incremented to keep the digits track and is returned once the while loop ends.int noOfDigits(int num){    int digits = 0;    int temp = num;    while (temp){       temp= temp/10;       digits++;    }    return digits; }Next, isDisarium(int ... Read More

Let us first define the struct that would represent a tree node that contains the int key and its left and right node child. If this is the first node to be created then it’s a root node otherwise a child node.struct Node {    int data;    struct Node *leftChild, *rightChild; };Next we create our createNode(int key) function that takes an int key value and assign it to the key member of the node. The function returns the pointer to the created struct Node. Also, the left and right child of the newly created node are set to null.Node* ... Read More

Let us first define the struct that would represent a tree node that contains a character key and a vector of Node *.struct Node{    char key;    vector children; };Next we create our createNode(int key) function that takes an int key value and assign it to the key member of the node. The function returns the pointer to the created struct node.Node *createNode(int key){    Node *node = new Node;    node->key = key;    return node; }Our depthOfTree(struct Node* root) function takes the root node as parameter. If the root is NULL then the depth is returned as ... Read More

The density of a binary tree is calculated by dividing its size by its height.Binary tree density = size/height.Let us first define the struct that would represent a tree node that contains the data and its left and right node child. If this is the first node to be created then it’s a root node otherwise a child node.struct Node {    int data;    struct Node *leftChild, *rightChild; };Next we create our createNode(int data) function that takes an int value and assign it to the data member of the node. The function returns the pointer to the created struct ... Read More

The deletion is to be performed by replacing the deleted mode by bottom and rightmost node.Let us first define the struct that would represent a tree node that contains the data and its left and right node child. If this is the first node to be created then it’s a root node otherwise a child node.struct Node {    int data;    struct Node *leftChild, *rightChild; };Next we create our newNode(int data) function that takes an int value and assign it to the data member of the node. The function returns the pointer to the created struct Node. Also, the ... Read More

To find the length of the diagonal we put the value of side in 2*side*sin (900/14). The value of sin (900/14) = 0.9.ExampleLet us see the following implementation to get the regular Heptagon diagonal from its side − Live Demo#include using namespace std; int main(){    float side = 12;    if (side < 0)       return -1;    float diagonal = 2*side*0.9;    cout

Demlo numbers are palindromic numbers that are generated by the square of number of form 11..1 given that the number is less than 10 digits.Let us first declare the string variables −string demNum = "1111"; string square = "";Now, we loop till the length of the demNum string. Inside the loop we convert the index value i to string and append it to square variable.for(int i=1 ;i= 1; i--)    square += char(i + '0');ExampleLet us see the following implementation to get a better understanding of demlo numbers − Live Demo#include using namespace std; int main(){    string demNum = ... Read More

Let us first declare our initial string and calculate its length and pass them to the deleteSubstr(str,length) function.string str = "01010110011"; int length = str.length(); cout

Let us first define our binary tree using a class containing int data, btree_node * rightChild, btree_node * leftChild. The leftChild and rightChild are pointers to btree_node. All the members in our class are public.class btree_node {    public:       int data;       btree_node* leftChild;       btree_node* rightChild;For creating a new node we have the constructor function that takes the int value as parameter to assign it to the newly created node value. The leftChild and rightChild are set to null.btree_node(int data){    this->data = data;    this->leftChild = NULL;    this-> = NULL; ... Read More