Inorder and preorder traversal to reconstruct a binary tree, Data Structure & Algorithms

Assignment Help:

Q. Using the following given inorder and preorder traversal reconstruct a binary tree

Inorder sequence is

D, G, B, H, E, A, F, I, C


Preorder sequence is

A, B, D, G, E, H, C, F, I

 

Ans:

The In-order sequence given to us is :- D, G, B, H, E, A, F, I, C

Pre-order sequence given to us is:- A, B, D, G, E, H, C, F, I

The binary tree T is drawn from its root downward by selecting the first node in its pre-order as root of T then study the left and right child recursively. The tree T is drawn below:

 

 

1354_Binary Tree.png


Related Discussions:- Inorder and preorder traversal to reconstruct a binary tree

Insertion into a red-black tree, The insertion procedure in a red-black tre...

The insertion procedure in a red-black tree is similar to a binary search tree i.e., the insertion proceeds in a similar manner but after insertion of nodes x into the tree T, we c

Determine the greatest common divisor, Determine the greatest common diviso...

Determine the greatest common divisor (GCD) of two integers, m & n. The algorithm for GCD might be defined as follows: While m is greater than zero: If n is greater than m, s

Binary tree creation, Binary tree creation struct NODE { struct N...

Binary tree creation struct NODE { struct NODE *left; int value; struct NODE *right; }; create_tree( struct NODE *curr, struct NODE *new ) { if(new->val

Explain principle of optimality, Explain principle of Optimality It ind...

Explain principle of Optimality It indicates that an optimal solution to any instance of an optimization problem is composed of  optimal solutions to its subinstances.

B-tree, Unlike a binary-tree, each node of a B-tree may have a number of ke...

Unlike a binary-tree, each node of a B-tree may have a number of keys and children. The keys are stored or saved in non-decreasing order. Each key has an related child that is the

What is diffuse illumination, Diffuse Illumination Diffuse illuminatio...

Diffuse Illumination Diffuse illumination means light that comes from all directions not from one particular source. Think about the light of a grey cloudy day as compared to

Mathematical-model with a collection of operations, A mathematical-model wi...

A mathematical-model with a collection of operations described on that model is known as??? Abstract Data Type

Tree Traversal, If preorder traversal and post order traversal is given the...

If preorder traversal and post order traversal is given then how to calculate the pre order traversal. Please illustrate step by step process

Program insertion of a node into any circular linked list, Program Insertio...

Program Insertion of a node into any Circular Linked List Figure depicts a Circular linked list from which an element was deleted. ALGORITHM (Deletion of an element from a

Algorithm, Ask question #MWhich of the following is not a characteristic of...

Ask question #MWhich of the following is not a characteristic of good algorithm? inimum 100 words accepted#

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd