Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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**Binary Search Tree (BST) Insertion Exercise**

**Objective**: Use the Binary Search Tree (BST) insertion algorithm to insert the value `0078` into the BST provided in the diagram below.

**Task**: List the nodes of the resulting tree in **pre-order traversal order**. The nodes should be separated by a single blank space. For guidance, the existing tree in the diagram can be described in pre-order format as: `75 53 24 57 84 77 76 82 92`.

**Diagram Explanation**:

The diagram illustrates a Binary Search Tree (BST) structured as follows:
- **Root Node**: `0075`
- **Left Subtree**:
  - Node `0053` is the left child of `0075`.
    - Node `0024` is the left child of `0053`.
    - Node `0057` is the right child of `0053`.
- **Right Subtree**:
  - Node `0084` is the right child of `0075`.
    - Node `0077` is the left child of `0084`.
      - Node `0076` is the left child of `0077`.
      - Node `0082` is the right child of `0077`.
    - Node `0092` is the right child of `0084`.

Insert `0078` appropriately following the BST insertion rules and list all nodes in pre-order traversal after insertion.
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Transcribed Image Text:**Binary Search Tree (BST) Insertion Exercise** **Objective**: Use the Binary Search Tree (BST) insertion algorithm to insert the value `0078` into the BST provided in the diagram below. **Task**: List the nodes of the resulting tree in **pre-order traversal order**. The nodes should be separated by a single blank space. For guidance, the existing tree in the diagram can be described in pre-order format as: `75 53 24 57 84 77 76 82 92`. **Diagram Explanation**: The diagram illustrates a Binary Search Tree (BST) structured as follows: - **Root Node**: `0075` - **Left Subtree**: - Node `0053` is the left child of `0075`. - Node `0024` is the left child of `0053`. - Node `0057` is the right child of `0053`. - **Right Subtree**: - Node `0084` is the right child of `0075`. - Node `0077` is the left child of `0084`. - Node `0076` is the left child of `0077`. - Node `0082` is the right child of `0077`. - Node `0092` is the right child of `0084`. Insert `0078` appropriately following the BST insertion rules and list all nodes in pre-order traversal after insertion.
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