Tag Archives: Tree

Binary Search Trees from keys 1 to n

Construct Binary Search Trees from keys 1 to n Problem statement to construct a Binary Search Tree(BST) from keys 1 to n. We are given a list of consecutive numbers from 1 to . Determine the number of binary trees that can be constructed from these numbers. Example for building a Binary Search Tree from keys… Read More »

Remove duplicates in a Binary Search Tree

Remove duplicate nodes in a Binary Search Tree (BST). Problem statement to remove redundant nodes in a Binary Search Tree. Given a binary search tree (BST), remove the redundant nodes to obtain a tree without the duplicate elements. Example: INPUT: array: 1,5,8,10,10,12,15,20,20,20 OUTUT: 10(2) / \ 5 15 / \ / \ 1 8 12 20(3)… Read More »

Sorted Linked List to balanced Binary Search Tree

Sorted Linked List to balanced Binary Search Tree (BST). Problem statement to create a Binary Search Tree from a sorted linked list. Given a singly linked list in a sorted order, create a balanced binary search tree (BST). Example: INPUT: Linked List: 1->5->8->10->12->15->20 OUTUT: 10 / \ 5 15 / \ / \ 1 8 12 20 Create… Read More »

Print common nodes in two Binary Search Trees

Print common nodes in two Binary Search Trees Problem statement to print common nodes in two Binary Search Trees (BST). Given two binary search trees, print all the elements that are common in both the trees. Example: INPUT:Tree 1 10 / \ 5 15 / \ / \ 1 8 12 20 Tree 2 7… Read More »

Create a BST such that sum of all greater keys is added to its every key

Create a BST such  that sum of all greater keys is added to its every key. Problem statement to construct a Binary Search Tree (BST) such  that sum of all greater keys is added to its every key: Given a balanced binary search tree (BST), build a binary search tree such that all nodes in original… Read More »

Check identical Binary Search Tree (BST)

Check identical Binary Search Tree (BST) without building a tree Problem statement to check identical Binary Search Tree (BSTs) without building a tree. We are given two arrays of integers from each of which we have to make a binary search tree(BST). We need to determine whether these binary search trees (BSTs) will be identical… Read More »

Binary Tree and its Properties

Binary Tree and its Properties Following are some properties of binary trees. The maximum number of nodes at a given level, k of a binary tree is 2k-1. Level of root is taken to be 1 above. This can be proved by induction. For root, k = 1 Therefore, number of nodes = 2k-1 = 1… Read More »

Binary Tree Introduction

Introduction to Binary Tree Trees are hierarchical data structures. The topmost node is called root of the tree. The elements that are directly under an element are called its children. The element directly above something is called its parent. Elements with no children are called leaf nodes or leaves. A tree whose elements have at most 2… Read More »