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
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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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.
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.
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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