Add bubble_sort_optimized with early termination

Author: tushi145

sorts/bubble_sort_optimized.py

@@ -0,0 +1,28 @@
+"""Bubble Sort with early termination optimization."""
+
+
+def bubble_sort_optimized(arr: list[float]) -> list[float]:
+    """
+    Sort a list using bubble sort with early termination.
+
+    Stops early if no swaps occur in a pass (already sorted).
+
+    >>> bubble_sort_optimized([64, 34, 25, 12, 22, 11, 90])
+    [11, 12, 22, 25, 34, 64, 90]
+    >>> bubble_sort_optimized([1, 2, 3])
+    [1, 2, 3]
+    >>> bubble_sort_optimized([])
+    []
+    >>> bubble_sort_optimized([5])
+    [5]
+    """
+    n = len(arr)
+    for i in range(n):
+        swapped = False
+        for j in range(n - i - 1):
+            if arr[j] > arr[j + 1]:
+                arr[j], arr[j + 1] = arr[j + 1], arr[j]
+                swapped = True
+        if not swapped:
+            break
+    return arr