Data Structures and Algorithms

Trie

Introduction to Trie Data Structure

Definition: A Trie (prefix tree) stores words or sequences of characters.
Uses: Fast searching, inserting, and prefix matching for autocomplete, spell checkers, contact lookup, and IP routing.

Structure of a Trie

Nodes and Edges: Similar to trees and graphs.
Node Components:
Character: Represents a letter.
Children: Pointers to child nodes.
End of Word Flag: Marks the end of a valid word.

Example of Trie Structure

Root Node: The starting point with no character, connects to child nodes.
Example Words: "an", "ant", "and", "bat".

Trie Operations

Insertion:
Follow character paths from the root, create new nodes as needed, mark the end node.
Search:
Follow character paths from the root; if the path ends at an end node, the word exists.
Deletion:
Unmark the end node, backtrack to delete nodes without children.

Applications of Trie

Autocomplete: Suggests completions for partial words.
Spell Checkers: Checks word existence and suggests corrections.
Contact Lookup: Finds relevant contacts based on input.
For more detailed information, refer to the Notion link:
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