If you insert the following numbers in the order listed into a binary search tree, which of the following represents the tree's in order traversal output? Items inserted in the following order: 200 150 225 75 210 250 250 225 210 200 150 75 O 75 150 210 250 225 200 O 75 150 200 210 225 250 O 200 150 75 225 210 250
If you insert the following numbers in the order listed into a binary search tree, which of the following represents the tree's in order traversal output? Items inserted in the following order: 200 150 225 75 210 250 250 225 210 200 150 75 O 75 150 210 250 225 200 O 75 150 200 210 225 250 O 200 150 75 225 210 250
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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![**Binary Search Tree Problem**
**Problem Statement:**
If you insert the following numbers in the order listed into a binary search tree, which of the following represents the tree’s in-order traversal output?
**Items inserted in the following order:** 200, 150, 225, 75, 210, 250
**Answer Options:**
1. 250, 225, 210, 200, 150, 75
2. 75, 150, 210, 250, 225, 200
3. 75, 150, 200, 210, 225, 250
4. 200, 150, 75, 225, 210, 250
**Explanation:**
To solve this problem, consider the properties of a binary search tree (BST) and how the in-order traversal of a BST works. An in-order traversal visits nodes in a BST in ascending order, meaning it will visit the left subtree first, then the current node, and finally the right subtree.
By inserting the given numbers into a BST in the given order:
1. **200** becomes the root.
2. **150** is inserted to the left of 200.
3. **225** is inserted to the right of 200.
4. **75** is inserted to the left of 150.
5. **210** is inserted to the left of 225.
6. **250** is inserted to the right of 225.
Performing an in-order traversal of this tree (visiting left, root, right), the numbers will be output in ascending order:
75, 150, 200, 210, 225, 250
Thus, the correct answer is option 3: 75, 150, 200, 210, 225, 250.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce84b589-8243-4834-a602-7a7ad7e8662d%2F13a6a1c7-84b3-4725-9496-7fc73a876f69%2F635j17_processed.png&w=3840&q=75)
Transcribed Image Text:**Binary Search Tree Problem**
**Problem Statement:**
If you insert the following numbers in the order listed into a binary search tree, which of the following represents the tree’s in-order traversal output?
**Items inserted in the following order:** 200, 150, 225, 75, 210, 250
**Answer Options:**
1. 250, 225, 210, 200, 150, 75
2. 75, 150, 210, 250, 225, 200
3. 75, 150, 200, 210, 225, 250
4. 200, 150, 75, 225, 210, 250
**Explanation:**
To solve this problem, consider the properties of a binary search tree (BST) and how the in-order traversal of a BST works. An in-order traversal visits nodes in a BST in ascending order, meaning it will visit the left subtree first, then the current node, and finally the right subtree.
By inserting the given numbers into a BST in the given order:
1. **200** becomes the root.
2. **150** is inserted to the left of 200.
3. **225** is inserted to the right of 200.
4. **75** is inserted to the left of 150.
5. **210** is inserted to the left of 225.
6. **250** is inserted to the right of 225.
Performing an in-order traversal of this tree (visiting left, root, right), the numbers will be output in ascending order:
75, 150, 200, 210, 225, 250
Thus, the correct answer is option 3: 75, 150, 200, 210, 225, 250.
![**Question:**
Which is a Map?
**Options:**
- ○ A collection with no duplicates
- ○ A resizable array
- ● A list where each element points to the next
- ○ A collection of key value pairs
**Explanation:**
The correct option should be "A collection of key value pairs." In computer science, a map is a data structure that stores key-value pairs, allowing for efficient data retrieval based on the key.
**Note:**
The option incorrectly marked as selected in the image is "A list where each element points to the next," which describes a linked list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce84b589-8243-4834-a602-7a7ad7e8662d%2F13a6a1c7-84b3-4725-9496-7fc73a876f69%2Fbaz89c3_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Which is a Map?
**Options:**
- ○ A collection with no duplicates
- ○ A resizable array
- ● A list where each element points to the next
- ○ A collection of key value pairs
**Explanation:**
The correct option should be "A collection of key value pairs." In computer science, a map is a data structure that stores key-value pairs, allowing for efficient data retrieval based on the key.
**Note:**
The option incorrectly marked as selected in the image is "A list where each element points to the next," which describes a linked list.
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