### Post-Order Traversal of a Binary TreeIn a post-order traversal of a binary tree, we visit the nodes in the following order: left subtree, right subtree, and then the root node. Let's use this approach to traverse the given binary tree and determine which nodes would be printed first and last.#### The Tree StructureThe tree is structured as follows:1. **Root Node (12)** - Left Subtree: - Node (6) - Left Subtree: - Node (2) - Left Subtree: - Node (1) - Right Subtree: - Node (4) - Right Subtree: - Node (8) - Right Subtree: - Node (18) - Left Subtree: - Node (13) - Right Subtree: - Node (23) - Left Subtree: - Node (19) - Right Subtree: - Node (29)#### Post-Order Traversal ExplanationTo perform a post-order traversal, we visit nodes in the following sequence:1. Traverse the left subtree of the root.2. Traverse the right subtree of the root.3. Visit the root node.Following this procedure for our tree:1. **Left Subtree of 12:** - **Left Subtree of 6:** - **Left Subtree of 2:** - Visit Node 1 (No children) - **Right Subtree of 2:** - Visit Node 4 (No children) - Visit Node 2 (after visiting children 1 and 4) - **Right Subtree of 6:** - Visit Node 8 (No children) - Visit Node 6 (after visiting children 2 and 8)2. **Right Subtree of 12:** - **Left Subtree of 18:** - Visit Node 13 (No children) - **Right Subtree of 18:** - **Left Subtree of 23:** - Visit Node 19 (No children) - **Right Subtree of 23:** - Visit Node 29 (No children) - Visit Node 23 (after visiting children 19 and 29) - Visit Node 18 (after visiting children 13 and 23) 3. Visit Root

In the post-order traverse, firstly we traverse the left subtree, then we move towards the right…

Answered: Let's say you used post-order traversal…

Let's say you used post-order traversal to print the nodes of this tree. What nodes would be printed first and last in post-order traversal?

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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Question

### Post-Order Traversal of a Binary Tree

In a post-order traversal of a binary tree, we visit the nodes in the following order: left subtree, right subtree, and then the root node. Let's use this approach to traverse the given binary tree and determine which nodes would be printed first and last.

#### The Tree Structure

The tree is structured as follows:

1. **Root Node (12)**
- Left Subtree:
- Node (6)
- Left Subtree:
- Node (2)
- Left Subtree:
- Node (1)
- Right Subtree:
- Node (4)
- Right Subtree:
- Node (8)
- Right Subtree:
- Node (18)
- Left Subtree:
- Node (13)
- Right Subtree:
- Node (23)
- Left Subtree:
- Node (19)
- Right Subtree:
- Node (29)

#### Post-Order Traversal Explanation

To perform a post-order traversal, we visit nodes in the following sequence:

1. Traverse the left subtree of the root.
2. Traverse the right subtree of the root.
3. Visit the root node.

Following this procedure for our tree:

1. **Left Subtree of 12:**
- **Left Subtree of 6:**
- **Left Subtree of 2:**
- Visit Node 1 (No children)
- **Right Subtree of 2:**
- Visit Node 4 (No children)
- Visit Node 2 (after visiting children 1 and 4)
- **Right Subtree of 6:**
- Visit Node 8 (No children)
- Visit Node 6 (after visiting children 2 and 8)

2. **Right Subtree of 12:**
- **Left Subtree of 18:**
- Visit Node 13 (No children)
- **Right Subtree of 18:**
- **Left Subtree of 23:**
- Visit Node 19 (No children)
- **Right Subtree of 23:**
- Visit Node 29 (No children)
- Visit Node 23 (after visiting children 19 and 29)
- Visit Node 18 (after visiting children 13 and 23)

3. Visit Root

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