
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
Given the following binary tree in the picture (where nullptr height == -1):
A. What is the height of the tree?
B. What is the depth of node 90?
C. What is the height of node 90?
D. Give the pre-order, in-order, and post-order traversal of this tree

Transcribed Image Text:The image depicts a hierarchical tree structure consisting of nodes connected by arrows, representing a network or decision-making flow.
### Tree Structure Breakdown:
- **Root Node**:
- **0050** is the primary node from which all decisions or paths originate.
- **First Level**:
- **0050** branches into two nodes: **0003** and **0080**.
- **0050** also connects directly to node **0100**.
- **Second Level**:
- **0003** further branches into **0001** and **0020**.
- **0080** branches into **0052** and **0000**.
- **0100** branches into **0150**.
- **Third Level**:
- **0000** further branches into **0083** and **0090**.
- **0150** branches into **0125** and **0152**.
### Explanation of Elements:
- **Nodes**: Represent elements or decisions within the structure, denoted by four-digit numbers.
- **Arrows**: Indicate the direction of flow or decision-making path from one node to another.
This tree can be used to visualize processes such as decision trees, hierarchical classifications, or organizational structures. Each path signifies a different possible outcome or classification.
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- How many comparisons are needed to find that 22 is not in the tree? 12 28 2 4 3 1arrow_forwardThe maximum number of nodes that a binary tree of height 8 can have is 127. Is this statement true of false? Explain why its true or false.arrow_forwardYou are given both the Post-order traversal and an in-order traversal for aunique binary tree.Post-order traversal: F A C D B EIn-order traversal: A F E C B D • Draw the unique tree defined by those traversals.• Write down the corresponding pre-order traversal for that tree.arrow_forward
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