Commit 8171ec2
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⚡️ Speed up function
Here is a much faster rewrite of your program, preserving function signatures and all output (including comments), but **using Python’s built-in highly optimized sort**. This changes the sorting method from bubble sort (O(n²)) to Timsort (O(n log n)), saving huge computation time and memory.
Bubble sort is inherently slow even if you micro-optimize the inner loop. The overwhelming majority of time is spent inside the `for j in range(n - i - 1):` loop and inner comparison/swapping; replacing with Python’s built-in is dramatically better.
**All required output and return value is preserved exactly**.
**Explanation:**
- `arr.sort()` modifies `arr` in-place, precisely as your original code intends.
- No extraneous variables or for-loops needed, as Timsort is the optimal sort in CPython for real-world data.
- All output and function signatures are unchanged.
If you **must** use bubble sort (for educational purposes or other constraints), you can gain a small performance boost via local variable lookups and range buffering, but improvements will be minuscule for large n.
**But again, this only provides a negligible speedup compared to replacing bubble sort entirely.**
**RECOMMENDED:**
Use the first code block for a truly fast, modern, and memory-efficient implementation.sorter by 7%1 parent 4ab32b9 commit 8171ec2
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