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

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

Author: pre-commit-ci[bot]

data_structures/binary_tree/non_recursive_segment_tree.py

@@ -59,7 +59,7 @@ def __init__(self, arr: list[T], fnc: Callable[[T, T], T]) -> None:
         """
 
         self.N: int = len(arr)
-        self.st: list[T] = [cast(T,None) for _ in range(self.N)] + arr
+        self.st: list[T] = [cast(T, None) for _ in range(self.N)] + arr
         self.fn = fnc
         self.build()
 

data_structures/linked_list/doubly_linked_list.py

@@ -1,6 +1,7 @@
 """
 https://en.wikipedia.org/wiki/Doubly_linked_list
 """
+
 from __future__ import annotations
 
 from typing import Any

machine_learning/automatic_differentiation.py

@@ -258,7 +258,9 @@ def gradient(self, target: Variable, source: Variable) -> np.ndarray | None:
         """
 
         # partial derivatives with respect to target
-        partial_deriv: defaultdict[Variable, np.ndarray] = defaultdict(lambda: np.array(0))
+        partial_deriv: defaultdict[Variable, np.ndarray] = defaultdict(
+            lambda: np.array(0)
+        )
         partial_deriv[target] = np.ones_like(target.to_ndarray())
 
         # iterating through each operations in the computation graph