Implement Trie Data Structure

[staging-devin-ai-integration]

Implement Trie Data Structure

This pull request introduces a new Trie data structure implementation to the marcosfede/algorithms repository. The Trie, also known as a prefix tree, is an efficient tree-like data structure used for storing and retrieving strings, making it particularly useful for tasks such as autocomplete, spell checking, and IP routing.

Features

• Implemented a memory-efficient Trie data structure using a regular dictionary for children nodes.
• Added three main methods:
  1. insert(word): Inserts a word into the trie.
  2. search(word): Searches for a complete word in the trie.
  3. starts_with(prefix): Checks if any word in the trie starts with the given prefix.

Implementation Details

• Created two classes: TrieNode and Trie.
• TrieNode represents each node in the Trie, containing:
  • A dictionary of children nodes.
  • A flag to indicate if it represents the end of a word.
• The Trie is implemented to handle lowercase letters a-z.

Test Cases

A comprehensive test suite has been created to verify the functionality of the Trie implementation. The test cases cover:

1. Inserting and searching for words.
2. Checking for prefixes.
3. Handling multiple words.
4. Edge case: empty string.

Files Added

1. /tree/trie/new_trie.py: Contains the Trie implementation.
2. /tree/trie/test_new_trie.py: Contains the test cases for the Trie.

Potential Applications

This Trie implementation can be used in various applications, including:

• Autocomplete systems
• Spell checkers
• IP routing tables
• Text search and pattern matching algorithms

Next Steps

• Consider adding more advanced Trie operations, such as deletion or finding all words with a given prefix.
• Explore optimizations for space efficiency, such as path compression.

This implementation aims to provide a solid foundation for Trie-based algorithms and can be easily extended or modified for specific use cases.

Additional Information

This Devin run was requested by Federico.

[staging-devin-ai-integration]

Closing due to inactivity.

[staging-devin-ai-integration]

Closing due to inactivity.