Server Side Programming Articles - Page 2141 of 2651

Here we will see how to check a binary tree is level wise sorted or not. The level wise sorted binary tree will be look like below −In each level, the nodes are sorted from left to right, and each layer contains higher value than its previous level.We can solve this problem by performing level order traversal, and keep track of the minimum and maximum elements of current level. Use another variable prev_max to hold maximum value of the previous level. Then compare the minimum value of current level and maximum value of previous level prev_max. If min value is ... Read More

Consider we have a binary tree. We have to find if there are some duplicate subtrees of size 2 or more in the tree or not. Suppose we have a binary tree like below −There are two identical subtrees of size 2. We can solve this problem by using tree serialization and hashing process. The idea is serializing the subtrees as string, and store them in hash table. Once we find a serialized tree which is not leaf, already exists in hash table, then return true.Example Live Demo#include #include using namespace std; const char MARKER = '$'; struct Node ... Read More

Consider we have a binary tree, this binary tree is not a BST. We have to check whether the binary tree contains same element more than one time or not. To solve this, we will use hashing. We will traverse the given tree, for each node, we will check whether the node is present in the table or not, if that is already present, then return false, otherwise true.Example Live Demo#include #include using namespace std; class Node {    public:    int data;    Node *left;    Node *right; }; Node* getNode(int data){    Node *newNode = new Node; ... Read More

Suppose we have a binary string, another integer k. We have to check the string is containing all permutations of binary of k bits. Suppose a string is like “11001”, and if the K = 2, then it must have all permutations of k bit numbers. (00, 01, 10, 11), the given string has all permutation. So this is valid string.by taking the binary string and the value of k, we have to check whether binary sequences are matched or not. The binary sequence is made of size k. So there will be 2k number of different binary permutations. We ... Read More

Suppose we have one 2D array of size N x M. The task is to check if we can select a number from every row, in such a way that the XOR of those elements is non-zero or greater than 0. Suppose one matrix is like this −77710107If we perform XOR, the answer will be non-zero, as the except last elements of two rows are 7 and 10To solve this problem, the solution will be very easy. Initially check if XOR of the elements of the first column of each row is 0 or not. If it is non-zero then ... Read More

Here we will see how to check whether a matrix is invertible or not. If one matrix is M, then the inverted matrix M-1 will be −$$M^-1=\frac{adj(M)}{|M\lvert}$$So if the determinant of M is non-zero, then only we can get the inverse, otherwise, we will not get the inverse of it. So here we have to check the determinant is non-zero or not. Finding a determinant is one recursive process. We have to find submatrix, then find the determinant of it, then use that result for the final calculation. Let us see the code to get a better idea.Example Live Demo#include ... Read More

Suppose we have a circle and another straight line. Our task is to find if the line touches the circle or intersects it, otherwise, it passes through outside. So there are three different cases like below −Here we will solve it by following steps. These are like below −Find perpendicular P between the center and given a lineCompare P with radius r −if P > r, then outsideif P = r, then touchesotherwise insideTo get the perpendicular distance, we have to use this formula (a center point is (h, k))$$\frac{ah+bk+c}{\sqrt{a^2+b^2}}$$Example Live Demo#include #include using namespace std; void isTouchOrIntersect(int a, ... Read More

To check a strongly connected graph using Kosaraju's algorithm, we need to understand the strongly connected graph and Kosaraju's algorithm. For a graph to be strongly connected, it should be a directed graph, and for any pair of vertices u and v in the directed graph, there exists a directed path from u to v and a directed path from v to u. In this article, we have a directed graph with five vertices. Our task is to use Kosaraju's algorithm to check if the given graph is strongly ... Read More

Here we will see how to check whether a tree graph is linear or not. A linear tree graph can be expressed in one line, suppose this is an example of a linear tree graph.But this is not linear −To check a graph is linear or not, we can follow two conditionsIf the number of nodes is 1, then the tree graph is linearIf (n – 2) of its nodes have in-degree 2Example Live Demo#include #include #define N 4 using namespace std; class Graph{    private:    int V;    vector *adj;    public:    Graph(int v){     ... Read More

Here we will see how to check whether a string is sum-string or not. A string is said to be sum-string if the rightmost substring can be written as the sum of two substrings before it, and the same is recursively true for substring before it. Suppose a string like 12243660 is a sum string, like 12 + 24 = 36, and the 36 is present after 12 and 24 in the string, again 24 + 36 = 60, this is also present in the string.A string S can be called sum-string, if it follows this rule −𝑠𝑢𝑏𝑠𝑡𝑟𝑖𝑛𝑔(𝑖, 𝑥)+𝑠𝑢𝑏𝑠𝑡𝑟𝑖𝑛𝑔(𝑥+1, 𝑗)= ... Read More