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Knowledge Base
dsaintermediate

Understanding Binary Search Trees

A comprehensive guide to BSTs β€” insertion, deletion, traversal, and balancing. Learn how BSTs power efficient search with O(log n) operations.
5 min read2 views0 helpful
binary search treeBSTtree traversalinsertiondeletionbalanced trees

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Understanding Binary Search Trees

A Binary Search Tree (BST) is a data structure where each node has at most two children, with left < parent < right.

Key Operations

Insertion β€” O(log n) average

def insert(root, key):
    if not root:
        return Node(key)
    if key < root.val:
        root.left = insert(root.left, key)
    else:
        root.right = insert(root.right, key)
    return root

Search β€” O(log n) average

Start at root, go left if target < current, right if target > current.

Traversals

  • In-order (Left, Root, Right): gives sorted output
  • Pre-order (Root, Left, Right): useful for copying
  • Post-order (Le

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