sudhir sharma

sudhir sharma

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Articles by sudhir sharma

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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 325 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 368 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 254 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 306 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 729 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 527 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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Prefixes with more a than b in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 241 Views

In this problem, we are given string str containing only a and b and an integer N such that a string is created by appending str n times. Our task is to print the total number of substring in which the count of a’s is more than the count of b.Let’s take an example to understand the problemInput: aab 2 Output: 9 Explanation: created string is aabaab. Substrings with count(a) > count(b) : ‘a’ , ‘aa’, ‘aab’, ‘aaba’, ‘aabaa’, ‘aabaab’, ‘aba’, ‘baa’, ‘abaa’.To solve this problem, we will have to check if the string contains the required prefix subsets. Here, ...

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Prefix to Infix Conversion in C++

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

In this problem, we are given a prefix expression. Our task is to print the infix conversion of the given expression.Prefix expression is those expressions which have operators before the operands.Example: +AB.Infix expressions are those expressions which have operators between the operands.Example: A+BInfix expression are information for human understanding, but the computer does computations on prefix or postfix expressions (generally postfix).Let’s take an example to understand the problemInput: prefix : /+LM/NX Output: infix : (L+M) / (N/X)To solve this problem, we will be using the stack data structure. We will traverse the prefix expression in reverse order of the expression. ...

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Prefix Sum of Matrix (Or 2D Array) in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 4K+ Views

In this problem, we are given a 2D array of integer values mat[][]. Our task is to print the prefix sum matrix of mat.Prefix sum matrix: every element of the matrix is the sum elements above and left of it. i.eprefixSum[i][j] = mat[i][j] + mat[i-1][j]...mat[0][j] + mat[i][j-1] +... mat[i][0].Let’s take an example to understand the problemInput: arr =[    [4   6   1]    [5   7   2]    [3   8   9] ] Output:[    [4   10   11]    [9   22   25]    [12   33   45] ]To solve this problem, ...

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