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JAVA PLEASE : Assume the Tree consists of your ID digits, inserted in the fashion to minimize the height of the tree. Remove duplicates if needed. Trace the delete() method above in a similar fashion as the insert was traced, delete 3 last digits of your  ID from the tree in the same order as they are present in you  ID.

JAVA PLEASE : Assume the Tree consists of your ID digits, inserted in the fashion to minimize the height of the tree. Remove duplicates if needed. Trace the delete() method above in a similar fashion as the insert was traced, delete 3 last digits of your  ID from the tree in the same order as they are present in you  ID.

Database System Concepts
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
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JAVA PLEASE :

Assume the Tree consists of your ID digits, inserted in the fashion to minimize the height of the tree. Remove duplicates if needed. Trace the delete() method above in a similar fashion as the insert was traced, delete 3 last digits of your  ID from the tree in the same order as they are present in you  ID.

 

The image provides pseudocode for insert and delete methods in a binary search tree. Below is a detailed transcription: --- ### Insert Method **boolean insert(E e)** 1. **Check if the root is null:** - If true, create a new root node. - `root = createNewNode(e)` // Create root 2. **Locate the parent node:** - Initialize `TreeNode<E> parent = null` and `TreeNode<E> current = root` - Use a while loop (`while (current != null)`) to find the correct position: - If `c.compare(e, current.element) < 0`: - `parent = current` - `current = current.left` - Else if `c.compare(e, current.element) > 0`: - `parent = current` - `current = current.right` - Else - Return false // No duplicates allowed. Skip it. **Create the new node and attach it:** - If `c.compare(e, parent.element) < 0`: - `parent.left = createNewNode(e)` - Else: - `parent.right = createNewNode(e)` Increment size and return true // Element inserted --- ### Delete Method **public boolean delete(E e)** 1. **Find the node to delete and its parent:** - Initialize `TreeNode<E> parent = null` and `TreeNode<E> current = root` - Use a while loop (`while (current != null)`) to locate the node: - If `c.compare(e, current.element) < 0`: - `parent = current` - `current = current.left` - Else if `c.compare(e, current.element) > 0`: - `parent = current` - `current = current.right` - Else - Break // Current points to the node to delete - If `current == null`, return false // Element not found 2. **Deletion cases:** - **Case 1:** Current has no left child - If the parent is null, set `root = current.right` - Else, update parent's pointers: - If `c.compare(e, parent.element) < 0`: - `parent.left = current.right` - Else: - `parent.right = current
Transcribed Image Text:The image provides pseudocode for insert and delete methods in a binary search tree. Below is a detailed transcription: --- ### Insert Method **boolean insert(E e)** 1. **Check if the root is null:** - If true, create a new root node. - `root = createNewNode(e)` // Create root 2. **Locate the parent node:** - Initialize `TreeNode<E> parent = null` and `TreeNode<E> current = root` - Use a while loop (`while (current != null)`) to find the correct position: - If `c.compare(e, current.element) < 0`: - `parent = current` - `current = current.left` - Else if `c.compare(e, current.element) > 0`: - `parent = current` - `current = current.right` - Else - Return false // No duplicates allowed. Skip it. **Create the new node and attach it:** - If `c.compare(e, parent.element) < 0`: - `parent.left = createNewNode(e)` - Else: - `parent.right = createNewNode(e)` Increment size and return true // Element inserted --- ### Delete Method **public boolean delete(E e)** 1. **Find the node to delete and its parent:** - Initialize `TreeNode<E> parent = null` and `TreeNode<E> current = root` - Use a while loop (`while (current != null)`) to locate the node: - If `c.compare(e, current.element) < 0`: - `parent = current` - `current = current.left` - Else if `c.compare(e, current.element) > 0`: - `parent = current` - `current = current.right` - Else - Break // Current points to the node to delete - If `current == null`, return false // Element not found 2. **Deletion cases:** - **Case 1:** Current has no left child - If the parent is null, set `root = current.right` - Else, update parent's pointers: - If `c.compare(e, parent.element) < 0`: - `parent.left = current.right` - Else: - `parent.right = current
# Insertion and Deletion in a Binary Search Tree ## Inserting 1, 2, 3, 4 in Order ### Step 1: Insert 1 - **Condition**: The tree is empty. - **Action**: - Since `root == null` is true, create a new node with value 1. Set it as the root. - **Result**: Tree size is 1 (1 node). ### Step 2: Insert 2 - **Condition**: Root is 1. - **Action**: - **Locate the Parent Node** - Initialize `current` as root (1). - Iterate: Since `current` is not null and `2 - 1 = 1 > 0`, the new node becomes the right child. - **Create New Node**: - Create a new node with value 2 and assign it as the right child of root 1. ### Step 3 & 4: (Omitted for Conciseness) - Follow similar steps as above for inserting 3 and 4 in order. ### Deletion Process (Indicated by Code Comments) - **Identify Rightmost Node**: - Traverse to rightmost leaf node of the left subtree. - **Replace Current**: - Set `current.element` to `rightMost.element`. - **Eliminate Rightmost Node**: - Re-adjust pointers to remove the node. - **Reduce Tree Size**: - Decrement tree size after deletion. This step-by-step process helps in maintaining the properties of a Binary Search Tree during insertion and deletion operations.
Transcribed Image Text:# Insertion and Deletion in a Binary Search Tree ## Inserting 1, 2, 3, 4 in Order ### Step 1: Insert 1 - **Condition**: The tree is empty. - **Action**: - Since `root == null` is true, create a new node with value 1. Set it as the root. - **Result**: Tree size is 1 (1 node). ### Step 2: Insert 2 - **Condition**: Root is 1. - **Action**: - **Locate the Parent Node** - Initialize `current` as root (1). - Iterate: Since `current` is not null and `2 - 1 = 1 > 0`, the new node becomes the right child. - **Create New Node**: - Create a new node with value 2 and assign it as the right child of root 1. ### Step 3 & 4: (Omitted for Conciseness) - Follow similar steps as above for inserting 3 and 4 in order. ### Deletion Process (Indicated by Code Comments) - **Identify Rightmost Node**: - Traverse to rightmost leaf node of the left subtree. - **Replace Current**: - Set `current.element` to `rightMost.element`. - **Eliminate Rightmost Node**: - Re-adjust pointers to remove the node. - **Reduce Tree Size**: - Decrement tree size after deletion. This step-by-step process helps in maintaining the properties of a Binary Search Tree during insertion and deletion operations.
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