All Data Structures
Strings
Core Implementation
Python strings are immutable sequences of Unicode characters:
String Buffer Implementation (for mutable strings)
Implementation Variations
1. Rope Data Structure (for large strings)
2. Trie (for string prefix operations)
Time Complexities
Operation | String | StringBuffer | Rope | Trie |
---|---|---|---|---|
Access by Index | O(1) | O(n) | O(log n) | N/A |
Append | O(n) | O(1)* | O(log n) | O(m)** |
Concatenation | O(n+m) | O(1)* | O(log n) | N/A |
Substring | O(k) | O(n) | O(log n) | N/A |
Find/Search | O(nm)** | O(n*m) | O(n) | O(m) |
Insert | O(n) | O(1)* | O(log n) | O(m) |
Delete | O(n) | O(n) | O(log n) | O(m) |
* Amortized time complexity ** Where m is the length of the word *** Using naive search. KMP algorithm improves this to O(n+m)
Space Complexities
Implementation | Space Complexity | Additional Notes |
---|---|---|
String | O(n) | Immutable, requires new copy for changes |
StringBuffer | O(n) | Mutable, grows dynamically |
Rope | O(n) | Additional O(log n) for tree structure |
Trie | O(ALPHABET_SIZE * m * n) | Where m is average string length |
Common Data Structure Patterns
-
Sliding Window
- Fixed size window
- Variable size window
- Window with constraints
-
Two Pointers
- Start and end
- Same direction
- Opposite directions
-
String Matching Patterns
- KMP Algorithm
- Rabin-Karp
- Boyer-Moore
-
State Machine
- String parsing
- Pattern matching
-
Dynamic Programming
- Longest common substring
- Edit distance
- String alignment
-
Hash-based Patterns
- Rolling hash
- Substring hash
Edge Cases to Consider
- Empty String
- Single Character
- Unicode Characters
- Special Characters
- Case Sensitivity
Optimization Techniques
- String Interning
- Join vs Concatenation
- Format String Optimization
Memory Management
- String Deduplication
- Memory-Efficient String Storage
- Garbage Collection
Performance Considerations
- String Methods vs Regular Expressions
- String Views
- Batch Processing
Common Pitfalls
- String Immutability
- Character vs String Comparison
- Unicode Handling
- Memory Usage in String Formatting
- String Pool References