Podcast
Questions and Answers
Which scenario applies when the node to be deleted in a BST has no children?
Which scenario applies when the node to be deleted in a BST has no children?
- Set the parent's corresponding child pointer to NULL. (correct)
- Replace the node with its inorder successor.
- Replace the node with its inorder predecessor.
- Promote one of its grandchildren to take its place.
In a BST, what is the primary action when deleting a node with one child?
In a BST, what is the primary action when deleting a node with one child?
- Remove the child and set the parent pointer to NULL.
- Replace the node with its child, updating the parent's reference. (correct)
- Invert the child's position to become the parent's other child.
- Replace the node with its inorder predecessor.
When deleting a node with two children in a BST, which of the following is a common strategy?
When deleting a node with two children in a BST, which of the following is a common strategy?
- Replace the node with either its inorder successor or predecessor. (correct)
- Promote one of the grandchildren to take the node's place.
- Delete the node and leave a gap in the tree.
- Convert the BST into a linked list and perform a deletion there.
If a node to be deleted is the root of the BST and has no children, what action is performed?
If a node to be deleted is the root of the BST and has no children, what action is performed?
In the scenario where a node with one child is deleted, what crucial step ensures the BST remains valid?
In the scenario where a node with one child is deleted, what crucial step ensures the BST remains valid?
When deleting a node with two children by replacing it with its inorder successor, what must be done with the successor after the replacement?
When deleting a node with two children by replacing it with its inorder successor, what must be done with the successor after the replacement?
Which helper function is essential for locating the node to be deleted and its parent node in a BST?
Which helper function is essential for locating the node to be deleted and its parent node in a BST?
Besides the find function, what other helper function is commonly used in the deletion process when a node has two children?
Besides the find function, what other helper function is commonly used in the deletion process when a node has two children?
In the context of BST node deletion, what does the term 'successor' refer to?
In the context of BST node deletion, what does the term 'successor' refer to?
What is the purpose of using either an inorder successor or an inorder predecessor when deleting a node with two children?
What is the purpose of using either an inorder successor or an inorder predecessor when deleting a node with two children?
In scenario 1 (no children) of BST node deletion, if the node to be deleted is the left child of its parent, what specific action should be taken?
In scenario 1 (no children) of BST node deletion, if the node to be deleted is the left child of its parent, what specific action should be taken?
Before deleting a node in a BST, what is the most important preliminary step?
Before deleting a node in a BST, what is the most important preliminary step?
Considering the BST structure, which of these nodes would be easiest to delete?
Considering the BST structure, which of these nodes would be easiest to delete?
How does the deletion process of a node with one child differ from that of a leaf node in a BST?
How does the deletion process of a node with one child differ from that of a leaf node in a BST?
What could result from failing to properly update the parent's child pointer after deleting a node with one child?
What could result from failing to properly update the parent's child pointer after deleting a node with one child?
When choosing between the inorder successor and inorder predecessor for deletion, what might influence the decision?
When choosing between the inorder successor and inorder predecessor for deletion, what might influence the decision?
In terms of maintaining the BST's properties, what is the most critical consideration during node deletion?
In terms of maintaining the BST's properties, what is the most critical consideration during node deletion?
In a scenario where the inorder successor of the node to be deleted is a leaf, what is the process for replacing the node to be deleted?
In a scenario where the inorder successor of the node to be deleted is a leaf, what is the process for replacing the node to be deleted?
How does using a helper function like getSuccessor contribute to modularity and code maintenance?
How does using a helper function like getSuccessor contribute to modularity and code maintenance?
What must be done once a node is physically removed from the tree in any of the three BST deletion scenarios?
What must be done once a node is physically removed from the tree in any of the three BST deletion scenarios?
What could be a consequence of using recursion without a proper base case in functions like destroyTree used for cleanup?
What could be a consequence of using recursion without a proper base case in functions like destroyTree used for cleanup?
When a node is replaced by its successor, how is the BST's structure altered?
When a node is replaced by its successor, how is the BST's structure altered?
If the find function fails to locate the node to be deleted, what is the appropriate action?
If the find function fails to locate the node to be deleted, what is the appropriate action?
Why is it important to check if the tree is empty before attempting to delete a node?
Why is it important to check if the tree is empty before attempting to delete a node?
In the context of deleting a node in a BST, what does 're-attaching' a subtree refer to?
In the context of deleting a node in a BST, what does 're-attaching' a subtree refer to?
When deleting a node with two children using the inorder predecessor, what key property does the predecessor have in relation to the node's left subtree?
When deleting a node with two children using the inorder predecessor, what key property does the predecessor have in relation to the node's left subtree?
Which of the following deletion scenarios might require the most complex code implementation?
Which of the following deletion scenarios might require the most complex code implementation?
In a multi-threaded environment, what synchronization concerns arise when deleting nodes from a BST?
In a multi-threaded environment, what synchronization concerns arise when deleting nodes from a BST?
When should you choose an iterative approach over a recursive approach for BST deletion?
When should you choose an iterative approach over a recursive approach for BST deletion?
When deleting multiple nodes concurrently, which strategy would best minimize the risk of data corruption?
When deleting multiple nodes concurrently, which strategy would best minimize the risk of data corruption?
How does the time complexity of finding the inorder successor affect the overall deletion time complexity in the worst-case scenario?
How does the time complexity of finding the inorder successor affect the overall deletion time complexity in the worst-case scenario?
How does the initial state or structure of the BST impact the complexity of deleting nodes?
How does the initial state or structure of the BST impact the complexity of deleting nodes?
In the context of BST deletion, what does 'promoting' a node generally imply?
In the context of BST deletion, what does 'promoting' a node generally imply?
How does memory fragmentation complicate BST deletion and allocation, especially in long-running applications?
How does memory fragmentation complicate BST deletion and allocation, especially in long-running applications?
What advantages does employing a BST visualizer offer?
What advantages does employing a BST visualizer offer?
In a BST, what is the relationship between a node and it's inorder successor?
In a BST, what is the relationship between a node and it's inorder successor?
In the context of deleting a node with one child in a BST, what is the most important consideration?
In the context of deleting a node with one child in a BST, what is the most important consideration?
When deleting a node with two children, what is a potential drawback of always choosing the inorder successor?
When deleting a node with two children, what is a potential drawback of always choosing the inorder successor?
How might the find function impact the efficiency of deleting a node with no children?
How might the find function impact the efficiency of deleting a node with no children?
Which of the following is a critical step after physically removing a node from the BST, regardless of the deletion scenario?
Which of the following is a critical step after physically removing a node from the BST, regardless of the deletion scenario?
In terms of BST properties, what differentiates deleting a node with two children from deleting a leaf node?
In terms of BST properties, what differentiates deleting a node with two children from deleting a leaf node?
Why is it necessary to locate the parent node when deleting a node in a BST?
Why is it necessary to locate the parent node when deleting a node in a BST?
What is the primary reason for using helper functions like destroyTree in BST operations?
What is the primary reason for using helper functions like destroyTree in BST operations?
If the find function returns NULL, indicating that the node to be deleted is not found, what should be the next course of action?
If the find function returns NULL, indicating that the node to be deleted is not found, what should be the next course of action?
What is the potential risk of not checking if the tree is empty before attempting to delete a node?
What is the potential risk of not checking if the tree is empty before attempting to delete a node?
What is the primary benefit of using a BST visualizer when working with BST deletion?
What is the primary benefit of using a BST visualizer when working with BST deletion?
Flashcards
Deleting a leaf node
Deleting a leaf node
If the node to delete is a leaf, find the node, set its parent's pointer to it to NULL and delete the node.
Deleting a node with one child
Deleting a node with one child
If the node has one child, replace the node to delete with its child by updating the parent's pointer and then delete the node.
Deleting a node with two children
Deleting a node with two children
If the node to delete has two children, replace it with its inorder successor (or predecessor), and delete the successor (or predecessor).
"Find" helper function
"Find" helper function
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"Successor" helper function
"Successor" helper function
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Study Notes
- Binary Search Tree (BST) deletion involves three possible scenarios.
Three Scenarios for BST Node Deletion
- The node to delete is a leaf.
- The node to delete has one child.
- The node to delete has two children.
Scenario 1: Deleting a Leaf Node from a BST
- Locate the node with a value of 0008 for deletion.
- Set 0008's parent's left node to NULL.
- Delete the node.
Scenario 2: Deleting a Node with One Child
- Find the node with a value of 0012 to delete.
- Replace the node to delete with its child.
- Access the node to delete's parent.
- Parent's right child changes to the node to delete's right child.
- Delete the node to delete.
Scenario 3: Deleting a Node With Two Children from a BST
- Find the node to delete, as with a value of 0010.
- Replace the node to delete with its predecessor or successor.
- Use the successor for this example.
- Successor: immediately to the right or left-most child of the right child.
- Predecessor: immediately to the left or right-most child of the left child.
- Replace the node to delete with the successor, and delete the original successor.
Helper Functions Needed
- Find the node to delete and its parent node.
- Successor: returns the node of the successor; predecessor could also be used.
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