[pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

divide_and_conquer/quick_sort_with_testing.py

@@ -10,46 +10,44 @@ def partition(arr, low, high):
     arr[i + 1], arr[high] = arr[high], arr[i + 1]
     return i + 1
 
+
 def quick_sort(arr, low, high):
     if low < high:
         pi = partition(arr, low, high)
         quick_sort(arr, low, pi - 1)
         quick_sort(arr, pi + 1, high)
 
+
 # Function to handle edge cases and testing
 def test_quick_sort():
     test_cases = [
         # Regular case with positive integers
         ([10, 7, 8, 9, 1, 5], [1, 5, 7, 8, 9, 10]),
-
         # Already sorted array
         ([1, 2, 3, 4, 5], [1, 2, 3, 4, 5]),
-
         # Reverse sorted array
         ([5, 4, 3, 2, 1], [1, 2, 3, 4, 5]),
-
         # Array with duplicates
         ([4, 2, 4, 1, 2, 1], [1, 1, 2, 2, 4, 4]),
-
         # Array with negative and positive numbers
         ([-3, 5, -1, 7, 0, -2], [-3, -2, -1, 0, 5, 7]),
-
         # Single element array
         ([42], [42]),
-
         # Empty array
         ([], []),
-
         # Array with all same elements
-        ([1, 1, 1, 1], [1, 1, 1, 1])
+        ([1, 1, 1, 1], [1, 1, 1, 1]),
     ]
-    
+
     for i, (arr, expected) in enumerate(test_cases):
         print(f"Test case {i+1}: Original array = {arr}")
         quick_sort(arr, 0, len(arr) - 1)
-        assert arr == expected, f"Test case {i+1} failed: Expected {expected}, but got {arr}"
+        assert (
+            arr == expected
+        ), f"Test case {i+1} failed: Expected {expected}, but got {arr}"
         print(f"Test case {i+1} passed: Sorted array = {arr}")
-    
+
     print("All test cases passed!")
 
+
 test_quick_sort()