sudhir sharma

sudhir sharma

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Articles by sudhir sharma

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Sum of the minimum elements in all connected components of an undirected graph in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 510 Views

In this problem, we are given an array arr of N numbers where arr[i] represents (i+1)th node. Also, there are M pairs of edges where u and v represent the node connected by the edge. Our task is to create a program to find the sum of the minimum elements in all connected components of an undirected graph. If a node has no connectivity to any other node, count it as a component with one node.Let’s take an example to understand the problem, Input arr[] = {2, 7, 5, 1, 2} m = 2 1 2 4 5Output 8Explanation Below is the graph ...

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Sum of the mirror image nodes of a complete binary tree in an inorder way in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 336 Views

In this problem, we are given a complete binary tree. Our task is to create a program to find the sum of the mirror image nodes of a complete binary tree in an inorder way.Here, we have to find the inorder traversal of the left sun-tree, and then for each node, we will add the mirror image with it. This means if we are traversing the left leaf node, we will add the value of the right leaf node with it. As it is the mirror image node.Some important definitionsComplete binary tree is a binary tree where all levels have ...

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Sum of the multiples of two numbers below N in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 465 Views

In this problem, we have given three integers M1, M2, and N. Our task is to create a program to find the sum of multiples of two numbers below N.Here, we will add all the elements below N which are multiples of either M1 or M2Let’s take an example to understand the problem, Input N = 13, M1 = 4, M2 = 6Output  20Explanation − Number that are multiples of 4 and 6 that are less than 13 are 4, 6, 8, 12.A simple solution to the problem is to be looping from 1 to N and adding all values that can ...

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Sum of the natural numbers (up to N) whose modulo with K yield R in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 360 Views

In this problem, we are given three numbers N, K and R. Our task is to create a program to find the Sum of the natural numbers (up to N) whose modulo with K yield R.We will add all the numbers less than N that satisfy the following condition, i%K == R.Let’s take an example to understand the problem, Input N = 14, K = 4, R = 1Output 28Explanation − All the numbers less than N, that given 1 as remainder when divided by 4 are 1, 5, 9, 13.To solve this problem, we will loop from R to N, and ...

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Sum of the nodes of a Circular Linked List in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 393 Views

In this problem, we are given a circular linked list. Our task is to create a program to find the sum of the nodes of a Circular Linked List.We simply need to add all the node values of the linked list.Some important definitions Linked List is a sequence of data structures, which are connected together via links.Circular Linked List is a variation of the Linked list in which the first element points to the last element and the last element points to the first element. Both Singly Linked List and Doubly Linked List can be made into a circular linked list.Now, let’s ...

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Bertrand's Postulate in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 282 Views

Bertrand’s postulates is a mathematical showroom which states that for every number n>3, there exists a prime number p which lies between n and 2n-2.The formula for Bertrand's Postulaten < p < 2n -2Where n is a number such that n>3 and p is a prime number.Prime number − A number is a prime number if it's only factors are 1 and itself.A less restrictive formulation of Bertrand’s postulate isn < p < 2n , for all n>1.ExamplesNumber5Output7Explanationprime number in range 5 and 2*5 i.e. prime number between 5 and 10Number11Output13, 17, 19Explanationprime number in range 11 and 2*11 i.e. ...

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Preorder Traversal of N-ary Tree Without Recursion in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 338 Views

In this problem, we are given an N-ary Tree. Our task is to print the preorder traversal of the tree.First, let’s learn some basic terminologies, N-ary Tree is a tree in which all nodes can have at max N child nodes. Example 2-ary (binary) tree has max 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Let’s take an example to understand our problemPreorder traversal : 12151499411719To solve this problem, we have to use the stack data structure. We will first ...

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Preorder Successor of a Node in Binary Tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 747 Views

In this problem, we are given a binary tree and a node value. Our task is to print the preorder successor of the node.Binary Tree is a special type of tree in which each root node can have maximum 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Preorder successor node is the node that comes next to the node in the preorder traversal of the node.Let’s take an example to understand the problemInput: 9 Output 0 Explanation: the preorder traversal ...

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Preorder predecessor of a Node in Binary Tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 554 Views

In this problem, we are given a binary tree and a node value. Our task is to print the preorder predecessor of the node.Binary Tree is a special type of tree in which each root node can have maximum 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Preorder predecessor node is the node that comes before the node in the preorder traversal of the node.Let’s take an example to understand the problemInput: 1 Output: 9To solve this problem, a navie approach will ...

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Preorder from Inorder and Postorder traversals in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 2K+ Views

In this problem, we are given the inorder and postorder traversal of a binary tree. Our task is to print the postorder traversal of the tree.Let’s take an example to understand the problemInput:inorder: 16 7 21 12 1 5 9 postorder: 16 21 7 1 9 5 12 Output: preorder: 12 7 16 21 5 1 9 Explanation: the binary tree is :To solve this problem, a simple solution could be creating a tree using the given traversals and then finding the preorder traversal of the tree. But this method will be more complex for the system.A more effective solution ...

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