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To optimize the given program, we'll replace the nested loop that implements bubble sort with a more efficient sorting algorithm like Timsort, which is the algorithm used internally by Python's built-in `sort()` method for lists. Timsort has an average-case and worst-case time complexity of O(n log n), which is much more efficient than bubble sort's O(n^2).
Here's the optimized code.
This version will perform significantly faster for larger input lists, as it uses the highly optimized Timsort algorithm instead of the inefficient bubble sort.
Here is how Timsort performs in terms of complexity.
- **Best-case performance**: O(n)
- **Average-case performance**: O(n log n)
- **Worst-case performance**: O(n log n)
By leveraging Python's built-in `sort()` method, you not only gain performance improvements but also enhance code simplicity and readability.
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