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raverse the following binary tree in (i) pre-order (ii) in-order and (iii) post-order traversa 25 20 35 15 30 17 27 33 16 34

raverse the following binary tree in (i) pre-order (ii) in-order and (iii) post-order traversa 25 20 35 15 30 17 27 33 16 34

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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### Binary Tree Traversals #### Problem Statement: Traverse the following binary tree in: 1. Pre-order 2. In-order 3. Post-order #### Binary Tree Diagram: ``` 25 / \ 20 35 / / \ 15 30 33 \ / \ 17 27 34 / 16 ``` #### Explanation of Tree Traversal Methods: **1. Pre-order Traversal (Root, Left, Right):** - Visit the root node first. - Recursively traverse the left subtree. - Recursively traverse the right subtree. For the given tree, the pre-order traversal sequence is: ``` Pre-order: 25, 20, 15, 17, 16, 35, 30, 27, 33, 34 ``` **2. In-order Traversal (Left, Root, Right):** - Recursively traverse the left subtree. - Visit the root node. - Recursively traverse the right subtree. For the given tree, the in-order traversal sequence is: ``` In-order: 15, 16, 17, 20, 25, 27, 30, 33, 34, 35 ``` **3. Post-order Traversal (Left, Right, Root):** - Recursively traverse the left subtree. - Recursively traverse the right subtree. - Visit the root node. For the given tree, the post-order traversal sequence is: ``` Post-order: 16, 17, 15, 20, 27, 30, 34, 33, 35, 25 ``` These traversal methods provide various ways to explore and retrieve data from a binary tree, which is fundamental in multiple computer science applications.
Transcribed Image Text:### Binary Tree Traversals #### Problem Statement: Traverse the following binary tree in: 1. Pre-order 2. In-order 3. Post-order #### Binary Tree Diagram: ``` 25 / \ 20 35 / / \ 15 30 33 \ / \ 17 27 34 / 16 ``` #### Explanation of Tree Traversal Methods: **1. Pre-order Traversal (Root, Left, Right):** - Visit the root node first. - Recursively traverse the left subtree. - Recursively traverse the right subtree. For the given tree, the pre-order traversal sequence is: ``` Pre-order: 25, 20, 15, 17, 16, 35, 30, 27, 33, 34 ``` **2. In-order Traversal (Left, Root, Right):** - Recursively traverse the left subtree. - Visit the root node. - Recursively traverse the right subtree. For the given tree, the in-order traversal sequence is: ``` In-order: 15, 16, 17, 20, 25, 27, 30, 33, 34, 35 ``` **3. Post-order Traversal (Left, Right, Root):** - Recursively traverse the left subtree. - Recursively traverse the right subtree. - Visit the root node. For the given tree, the post-order traversal sequence is: ``` Post-order: 16, 17, 15, 20, 27, 30, 34, 33, 35, 25 ``` These traversal methods provide various ways to explore and retrieve data from a binary tree, which is fundamental in multiple computer science applications.
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