Server Side Programming Articles

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Find Simple Closed Path for a given set of points in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 410 Views

Consider we have a set of points. We have to find a simple closed path covering all points. Suppose the points are like below, and the next image is making a closed path on those points.To get the path, we have to follow these steps −Find the bottom left point as PSort other n – 1 point based on the polar angle counterclockwise around P, if polar angle of two points are same, then put them as the distance is shortestTraverse the sorted list of points, then make the pathExample#include using namespace std; class Point {    public:   ...

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Finding Quadrant of a Coordinate with respect to a Circle in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 320 Views

We have one circle (center coordinate and radius), we have to find the quadrant of another given point (x, y) lies with respect to the center of the circle, if this is present in the circle, print quadrant, otherwise print error as the point is present outside.Suppose the center of the circle is (h, k), the coordinate of the point is (x, y). We know that the equation of the circle is −(𝑥−ℎ)2+(𝑦−𝑘)2+𝑟2=0Now there are few conditions, based on which we can decide the result.𝑖𝑓 (𝑥−ℎ)2+(𝑦−𝑘)2> 𝑟, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑝𝑜𝑖𝑛𝑡 𝑖𝑠 𝑜𝑢𝑡𝑠𝑖𝑑𝑒 𝑡ℎ𝑒 𝑐𝑖𝑟𝑐𝑙𝑒𝑖𝑓 (𝑥−ℎ)2+(𝑦−𝑘)2= 0, 𝑡ℎ𝑒𝑛 𝑡ℎ𝑒 𝑝𝑜𝑖𝑛𝑡 𝑖𝑠 ...

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Check if a binary tree is subtree of another binary tree in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 861 Views

Suppose we have two binary trees. We have to check whether the smaller tree is a subtree of another binary tree or not. Consider these two trees are given.There are two trees. The second tree is the subtree of the first one. To check this property, we will traverse the tree in post-order fashion, then if the subtree rooted with this node is identical to the second tree, then it is subtree.Example#include using namespace std; class node {    public:    int data;    node *left, *right; }; bool areTwoTreeSame(node * t1, node *t2) {    if (t1 == ...

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BFS using STL for competitive coding in C++?

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 784 Views

The Breadth First Search (BFS) traversal is an algorithm, which is used to visit all of the nodes of a given graph. In this traversal algorithm one node is selected and then all of the adjacent nodes are visited one by one. After completing all of the adjacent vertices, it moves further to check another vertices and checks its adjacent vertices again.In The competitive coding, we have to solve problems very quickly. We will use the STL (Standard Library of C++) to implement this algorithm, we need to use the Queue data structure. All the adjacent vertices are added into ...

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Check if a doubly linked list of characters is palindrome or not in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 800 Views

Here we will see how to check a string is a palindrome or not using a Doubly linked list. Here we will push each character of a string inside one doubly linked list. There will be two pointers, left and right. Then start scanning from both sides. If a left character is the same as right character, then move the left pointer to the next node, and move the right pointer to the previous node. Otherwise, return false. This process will be continued until the left and right are pointing at the same node, or the right pointer is pointing ...

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Check if a given array contains duplicate elements within k distance from each in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 497 Views

Here we will see how to check whether an unsorted array has duplicate elements within k distance from each other or not. Suppose a list of elements is {1, 2, 3, 1, 4, 5}, here if k = 3, then the program will return true, as the distance between two 1s is 3.We will solve this using a hash table. The steps will be like below −Create one empty hash tableFor each index i, let the element e = arr[i] in the list, doif e is present in the hash table, then return trueotherwise, add e to hash table, and ...

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Check if a given Binary Tree is SumTree in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 293 Views

Here we will see how to check whether a binary tree is sum-tree or not. Now the question is what is the sum-tree. A sum-tree is a binary tree where a node will hold the sum value of its children. The root of the tree will contain an entire sum of all elements below it. This is an example of sum-tree −To check this, we will follow a simple trick, we will find the sum of left and right subtree elements if the sum value is the same as the root, then that is sum-tree. This will be one recursive ...

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Check if a given circle lies completely inside the ring formed by two concentric circles in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 1K+ Views

We have two circles. The center of both of them is at the origin. The radius of these two circles is given. They are r and R, R > r. Another circle is also present. Its radius (r1) and the center point are given, we have to check whether that point is inside the ring formed by the first two circles or not.We can solve this using the Pythagorean theorem. compute the distance from the center of the circle and origin. Then if (distance – r1) >= r and (distance – r1) = R && dis+r1

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Check if a given tree graph is linear or not in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 243 Views

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#include #include #define N 4 using namespace std; class Graph{    private:    int V;    vector *adj;    public:    Graph(int v){       ...

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Check if a line touches or intersects a circle in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 789 Views

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#include #include using namespace std; void isTouchOrIntersect(int a, int ...

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