consider the following list of numbers **Binary Search Tree Construction**Consider the following list of numbers:126, 686, 124, 518, 608, 54, 42Place the numbers, in the order given, into a binary search tree.**Binary Search Tree Diagram Explanation:**The diagram represents a binary search tree with several levels:1. **Root Node:** - The topmost node is empty, indicating where the first number, 126, will be placed.2. **Second Level:** - Two branches stem from the root, pointing to two child nodes. These will be filled according to the binary search tree rules, where the left child contains values less than the parent node, and the right child contains values greater than the parent node.3. **Third Level:** - Each node on the second level again branches into left and right children, following the binary search logic.4. **Fourth Level:** - The final level shown has branches leading to additional child nodes. These nodes represent additional places for the numbers as they are placed according to the binary search tree properties, ensuring each subtree maintains the binary search property.This structure will be filled by placing each number in the list into the appropriate position based on whether it is smaller or larger than the current node, moving left for smaller and right for larger until an empty place is found.

Answered: Consider the following list of numbers.…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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consider the following list of numbers

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The node-based binary tree data structure known as the "Binary Search Tree" includes the following characteristics:

A node's left subtree only has nodes with keys lower than the node itself.
Only nodes with keys higher than the node's key are found in the right subtree of the node.
A binary search tree must also be present in both the left and right subtrees.

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