Commit ef11217
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⚡️ Speed up function
The optimization replaces the O(N²) bubble sort implementation with Python's built-in `arr.sort()`, which uses the highly optimized Timsort algorithm (O(N log N)).
**Key Changes:**
- Removed the nested loop structure that performed 83+ million operations for large inputs
- Replaced manual element swapping with Python's native sorting implementation
- Eliminated redundant `len(arr) - 1` calculations in the inner loop
**Why This Creates Massive Speedup:**
The original bubble sort has quadratic time complexity, making ~N²/2 comparisons and up to N²/2 swaps. Python's Timsort is a hybrid stable sorting algorithm that:
- Runs in O(N log N) worst case, O(N) best case for already-sorted data
- Uses highly optimized C implementation
- Employs intelligent techniques like run detection and galloping mode
**Performance by Test Case Type:**
- **Small lists (≤10 elements):** 20-60% faster - overhead reduction from eliminating nested loops
- **Large sorted lists:** 60,000%+ faster - Timsort detects existing order and runs in near-linear time
- **Large random/reverse sorted lists:** 40,000-98,000%+ faster - demonstrates the O(N log N) vs O(N²) algorithmic advantage
- **Lists with duplicates:** 37,000-84,000%+ faster - Timsort handles duplicates efficiently without unnecessary comparisons
The line profiler shows the original code spent 26.5% of time just in the inner loop range calculation and 30.6% in comparisons, totaling over 83 million operations. The optimized version eliminates this entirely with a single efficient sort call.sorter by 197,541%1 parent 143f18d commit ef11217
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