Check whether the two Binary Search Trees are Identical or Not

Introduction

Data can be sorted and organized using Binary Search Trees, a basic data structure in computer science. Checking for similarities between two trees is a frequently done procedure on BSTs. It is a type of hierarchical data structure made up of nodes, with the left and right children being the maximum number of children that each node can have.

A BST's primary characteristic is that for each node:

• The left subtree's constituents are all fewer than the value of the node.
• Every element in the appropriate subtree exceeds the value of the node.

This attribute guarantees that the information within the tree is arranged in a sorted fashion, hence promoting effective search functions.

Method for Determining Identical BSTs

We must simultaneously explore both trees and compare the associated nodes in order to ascertain whether two BSTs are identical. We determine that the trees are different if we ever come across a discrepancy in the structure of the trees or a mismatch in the values of corresponding nodes.If, then again, we figure out how to explorethe two trees without running into any distinctions, we can determine that they are something very similar.

Code

Output:

Code Explanation

Struct TreeNode: In the binary search tree, this structure stands in for a node. It has two pointers, left and right, alluding to the left and right child nodesseparatelyand a number data field to store the node's value.

Function createNode:It is in charge of generating a new node with the supplied data value. It uses malloc to allocate memory for a new node, configures its left and right pointers to NULL, and sets its data value to the supplied value. A pointer to the just-formed node is then returned.

Function areIdenticalTrees: It returns an integer indicating whether or not two binary search trees are identical, giving two pointers to their roots as parameters. It traverses both trees concurrently and compares their nodes using a recursive method.

• It yields 1 if both trees are empty (root1 and root2 are NULL), meaning that they are the same.
• It recursively examines the left and right subtrees if both trees are not empty and the current nodes have the same data value. It yields 1 if every related node in both trees is the sameand returns 0 otherwise.
• It returns 0 to indicate that the two trees are not identical if one is empty and the other is not.

Main function: Two binary search trees are built in the primary function.

• root1 is established with a value of 10 for the root node. It has two child nodes (5 and 15) tied to it, and the left child node (5) has two more child nodes (3 and 7).
• Root2 has the same structure and node values as Root1, and it is formed similarly.

The areIdenticalTrees function is called once the trees are constructed, passing in the roots of both trees as parametersto determine if the trees are identical or not. It publishes a message in accordance with the outcome.

Conclusion

In summary, comparing the corresponding nodes of two binary search trees entails traversing both trees to ascertain if they are identical. Recursive methods can be effectively used to complete this task. We can consistently ascertain whether two binary search trees are identical by comprehending their characteristics and putting the comparison technique into practice.