Solution: Implement Trie (Prefix Tree)

Understand how to implement a trie data structure that supports inserting words, searching for complete words, and searching prefixes efficiently. Explore node creation, traversal methods, and time and space complexity for each operation to manage string datasets effectively.

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Statement
Pattern: Trie
Solution

Statement

Trie is a tree-like data structure used to store strings. The tries are also called prefix trees because they provide very efficient prefix-matching operations. Implement a trie data structure with three functions that perform the following tasks:

Insert (word): This inserts a word into the trie.
Search (word): This searches the given word in the trie and returns TRUE if the complete word is found (i.e., all characters match and the last node is marked as the end of a word). Otherwise, return FALSE.
Search prefix (prefix): This searches the given prefix in the trie and returns TRUE if the prefix path exists in the trie (i.e., all prefix characters match), regardless of whether the last node is marked as the end of a word. Otherwise, return FALSE.