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Questions and Answers
What is the primary reason for recovering a Binary Search Tree?
What is the primary reason for recovering a Binary Search Tree?
- To reduce the tree's memory usage
- To maintain the tree's structural integrity (correct)
- To enhance the tree's traversal speed
- To improve the tree's search efficiency
Which operation can lead to the need for recovering a BST?
Which operation can lead to the need for recovering a BST?
- Insertion of a new node
- Deletion of an existing node (correct)
- Traversal of the tree
- Searching for a specific node
What property must be maintained in a BST after a node deletion?
What property must be maintained in a BST after a node deletion?
- Binary search property (correct)
- Pre-order traversal property
- Post-order traversal property
- In-order traversal property
Which algorithm can be used for recovering a BST after a deletion?
Which algorithm can be used for recovering a BST after a deletion?
What does the in-order traversal of a BST produce?
What does the in-order traversal of a BST produce?
When recovering a BST after a deletion, which case is the simplest to handle?
When recovering a BST after a deletion, which case is the simplest to handle?
What is the main objective of maintaining the binary search property in a BST?
What is the main objective of maintaining the binary search property in a BST?
Which of the following is a consequence of deleting a node with two children from a BST?
Which of the following is a consequence of deleting a node with two children from a BST?
What is the primary advantage of using in-order traversal for recovering a BST?
What is the primary advantage of using in-order traversal for recovering a BST?
What is the main difference between recovering a BST after a deletion and recovering a BST after an insertion?
What is the main difference between recovering a BST after a deletion and recovering a BST after an insertion?
Why is node deletion more complex than node insertion in a BST?
Why is node deletion more complex than node insertion in a BST?
What is the primary goal of tree rebalancing in a BST?
What is the primary goal of tree rebalancing in a BST?
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Study Notes
Binary Search Tree (BST) Recovery
- The primary purpose of recovering a BST is to ensure its structural integrity after modifications.
- Deletion operation can lead to the need for recovering a BST.
- The binary search property must be maintained after a node deletion in a BST.
In-order Traversal
- In-order traversal of a BST produces nodes in sorted order.
- In-order traversal algorithm can be used for recovering a BST after a deletion.
Node Deletion and Recovery
- The simplest case to handle when recovering a BST after a deletion is a node with no children.
- When a node with two children is deleted from a BST, the node's right child is typically chosen as its replacement.
Steps in BST Recovery
- Finding the node to be deleted is a step in recovering a BST.
- Deleting the node is a step in recovering a BST.
- Reorganizing the tree to maintain the binary search property is a step in recovering a BST.
Data Structure for Tracking Parent Nodes
- A stack is a data structure commonly used for tracking parent nodes during BST recovery.
Post-Recovery Operations
- Performing a rebalancing operation like AVL or Red-Black tree rotations is necessary to ensure the tree is balanced after recovering a BST following a deletion.
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