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⚡️ Speed up function
The optimization replaces a manual bubble sort implementation with Python's built-in `arr.sort()` method, resulting in a dramatic performance improvement of over 130,000% speedup.
**Key Changes:**
- **Algorithm replacement**: Eliminated the O(n²) bubble sort with nested loops in favor of Python's built-in Timsort algorithm (O(n log n) average case)
- **Reduced complexity**: Replaced ~116M+ operations (from line profiler) with a single optimized C-level sort call
**Why This Leads to Speedup:**
1. **Algorithmic complexity**: Bubble sort has O(n²) time complexity, making 116M+ comparisons and swaps for 1000-element arrays. Timsort has O(n log n) complexity, requiring only ~10,000 operations for the same input.
2. **Implementation efficiency**: Python's `sort()` is implemented in C and highly optimized, while the original uses interpreted Python loops with expensive array indexing operations.
3. **Adaptive behavior**: Timsort performs exceptionally well on partially sorted data, which explains why already-sorted large lists see 50,000%+ improvements in the test results.
**Test Case Performance Patterns:**
- **Small arrays (≤10 elements)**: 10-40% speedup due to function call overhead being more significant
- **Large sorted/reverse-sorted arrays**: 50,000-90,000% speedup as Timsort's adaptive nature shines
- **Large random arrays**: 30,000-45,000% speedup from the fundamental algorithmic improvement
- **Edge cases**: Consistent 5-40% improvements even for error conditions due to faster failure paths
The optimization is universally beneficial, with larger datasets and more structured data (sorted/reverse-sorted) seeing the most dramatic improvements due to Timsort's intelligent handling of existing order.sorter by 130,321%1 parent 86cbcae commit 6d2b3c0
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