If the value 9 were inserted into this tree, where in the tree would it be inserted?

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
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**Consider the following binary search tree:**

A binary search tree is illustrated with the root node containing the value 20. 

- The left child of the root node (20) contains the value 10.
- The right child of the root node (20) contains the value 30.
- The left child of the node containing 10 contains the value 5.
- The right child of the node containing 10 contains the value 17.

**Question:**

If the value 9 were inserted into this tree, where in the tree would it be inserted?

- ○ It would be the left child of the node containing 17
- ○ It would be the right child of the node containing 17
- ○ It would be the right child of the node containing 5
- ○ It would be the new left child of the node containing 10
Transcribed Image Text:**Consider the following binary search tree:** A binary search tree is illustrated with the root node containing the value 20. - The left child of the root node (20) contains the value 10. - The right child of the root node (20) contains the value 30. - The left child of the node containing 10 contains the value 5. - The right child of the node containing 10 contains the value 17. **Question:** If the value 9 were inserted into this tree, where in the tree would it be inserted? - ○ It would be the left child of the node containing 17 - ○ It would be the right child of the node containing 17 - ○ It would be the right child of the node containing 5 - ○ It would be the new left child of the node containing 10
Expert Solution
Step 1: Binary Search Tree (BST)

A Binary Search Tree (BST) is a binary tree data structure with the following key properties:
1.    Binary Tree Structure: A BST is a binary tree, which means that each node has at most two children, referred to as the left child and the right child.
2.    Ordering Property: The nodes in a BST are ordered in such a way that for any given node:
•    All nodes in its left subtree have values less than or equal to the node's value.
•    All nodes in its right subtree have values greater than the node's value.
This ordering property ensures that elements are efficiently stored and can be quickly retrieved in a sorted order. BSTs are widely used in computer science and are the basis for many other data structures and algorithms. They provide efficient operations for insertion, deletion, and searching.

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