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

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

Author: pre-commit-ci[bot]

machine_learning/linear_discriminant_analysis.py

@@ -247,6 +247,7 @@ def accuracy(actual_y: list, predicted_y: list) -> float:
     # of all data and multiplied by 100
     return (correct / len(actual_y)) * 100
 
+
 def valid_input[num](
     input_type: Callable[[object], num],  # Usually float or int
     input_msg: str,

searches/binary_search.py

@@ -226,7 +226,9 @@ def binary_search_by_recursion(
 
     if sorted_collection[midpoint] == item:
         if midpoint > left:
-            res = binary_search_by_recursion(sorted_collection, item, left, midpoint - 1)
+            res = binary_search_by_recursion(
+                sorted_collection, item, left, midpoint - 1
+            )
             return res if res != -1 else midpoint
         return midpoint
     elif sorted_collection[midpoint] > item:
@@ -268,4 +270,5 @@ def exponential_search(sorted_collection: list[int], item: int) -> int:
 
 if __name__ == "__main__":
     import doctest
-    doctest.testmod()
+
+    doctest.testmod()