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Recovering a Binary Search Tree (BST)
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Recovering a Binary Search Tree (BST)

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Questions and Answers

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?

  • 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?

  • 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?

    <p>In-order traversal</p> Signup and view all the answers

    What does the in-order traversal of a BST produce?

    <p>Nodes in sorted order</p> Signup and view all the answers

    When recovering a BST after a deletion, which case is the simplest to handle?

    <p>Node with no children</p> Signup and view all the answers

    What is the main objective of maintaining the binary search property in a BST?

    <p>To guarantee the correctness of search operations</p> Signup and view all the answers

    Which of the following is a consequence of deleting a node with two children from a BST?

    <p>The tree's structural integrity is compromised</p> Signup and view all the answers

    What is the primary advantage of using in-order traversal for recovering a BST?

    <p>It restores the binary search property</p> Signup and view all the answers

    What is the main difference between recovering a BST after a deletion and recovering a BST after an insertion?

    <p>The need to maintain the binary search property</p> Signup and view all the answers

    Why is node deletion more complex than node insertion in a BST?

    <p>Because it has to handle three possible cases</p> Signup and view all the answers

    What is the primary goal of tree rebalancing in a BST?

    <p>To maintain the binary search property</p> Signup and view all the answers

    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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    Test your knowledge of Binary Search Tree (BST) recovery, including its primary purpose, operations that lead to recovery, and more. Assess your understanding of BST concepts and principles.

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