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Computer Science

493What is a Binary Search Tree?
494The BST Invariant
495BST vs General Binary Trees
496Valid vs Invalid BSTs
497BST Node Structure
498Recursive BST Property
499Handling Duplicate Keys
500BST Range Property
501Verifying BST Invariant
502BST Advantages and Use Cases
503BST Search: Finding a Node
504BST Search: Iterative Implementation
505Finding Minimum and Maximum Values
506BST Insertion: Recursive Approach
507BST Insertion: Iterative Approach
508BST Deletion: Leaf Node Case
509BST Deletion: One Child Case
510BST Deletion: Two Children Case
511Finding Inorder Successor
512Finding Inorder Predecessor
513BST Deletion: Complete Implementation
514Range Query in BST
515Counting Nodes in a BST
516Finding kth Smallest Element
517Validating BST Property
518Lowest Common Ancestor in BST
519Floor and Ceiling Operations
520BST from Sorted Array
521BST Height and Balance
522Best-Case BST Analysis
523Worst-Case BST Analysis
524Average-Case BST Performance
525Space Complexity of BSTs
526Comparing BST to Array and Linked List
527Impact of Insertion Order
528BST with Duplicate Keys
529Cache Performance and BSTs
530When to Use BSTs

Computer Science

493What is a Binary Search Tree?
494The BST Invariant
495BST vs General Binary Trees
496Valid vs Invalid BSTs
497BST Node Structure
498Recursive BST Property
499Handling Duplicate Keys
500BST Range Property
501Verifying BST Invariant
502BST Advantages and Use Cases
503BST Search: Finding a Node
504BST Search: Iterative Implementation
505Finding Minimum and Maximum Values
506BST Insertion: Recursive Approach
507BST Insertion: Iterative Approach
508BST Deletion: Leaf Node Case
509BST Deletion: One Child Case
510BST Deletion: Two Children Case
511Finding Inorder Successor
512Finding Inorder Predecessor
513BST Deletion: Complete Implementation
514Range Query in BST
515Counting Nodes in a BST
516Finding kth Smallest Element
517Validating BST Property
518Lowest Common Ancestor in BST
519Floor and Ceiling Operations
520BST from Sorted Array
521BST Height and Balance
522Best-Case BST Analysis
523Worst-Case BST Analysis
524Average-Case BST Performance
525Space Complexity of BSTs
526Comparing BST to Array and Linked List
527Impact of Insertion Order
528BST with Duplicate Keys
529Cache Performance and BSTs
530When to Use BSTs

← Computer Science

Lesson 494 of 2,872·12. Binary Search TreesPro lesson

The BST Invariant

Formalize the BST property: for every node, all left descendants are smaller, all right descendants are larger.

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