Commit 6abc215
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⚡️ Speed up function
The optimization replaces a **manual bubble sort implementation** with Python's **built-in `arr.sort()` method**.
**Key changes:**
- Eliminated the nested O(n²) bubble sort loops that perform element-by-element comparisons and swaps
- Replaced with Python's highly optimized Timsort algorithm (O(n log n) worst-case)
**Why this leads to massive speedup:**
- **Bubble sort complexity**: The original code performs ~n²/2 comparisons and up to n²/2 swaps for n elements
- **Timsort efficiency**: Python's built-in sort is implemented in C, uses adaptive algorithms that perform well on partially sorted data, and has much better algorithmic complexity
- **Memory access patterns**: Built-in sort has better cache locality compared to the random memory access pattern of bubble sort
**Test case performance patterns:**
- **Small lists (< 10 elements)**: Modest 10-45% improvements due to reduced Python interpreter overhead
- **Large lists (1000 elements)**: Dramatic 10,000-90,000% speedups where algorithmic complexity dominates:
- Already sorted: 57,607% faster (Timsort's adaptive nature shines)
- Reverse sorted: 92,409% faster (worst case for bubble sort)
- Random data: 44,000+ % faster (consistent O(n log n) vs O(n²) difference)
The optimization is most effective for larger datasets where the O(n²) vs O(n log n) complexity difference becomes pronounced.sorter by 145,189%1 parent 83ee9c9 commit 6abc215
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