[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/fenwick_tree.py

@@ -45,11 +45,11 @@ def __init__(self, size: int):
     def update(self, index: int, delta: int) -> None:
         """
         Update element at given index by adding delta.
-        
+
         Args:
             index: 1-indexed position to update
             delta: Value to add to the element
-            
+
         Examples:
             >>> ft = FenwickTree(5)
             >>> ft.update(1, 5)

data_structures/segment_tree.py

@@ -24,7 +24,7 @@
 class SegmentTree:
     """
     Segment Tree implementation with configurable operations.
-    
+
     Attributes:
         data: Original array
         tree: Segment tree array

maths/fft_cooley_tukey.py

@@ -200,9 +200,10 @@ def fft_frequency_bins(sample_rate: float, n_samples: int) -> list[float]:
 
     print("FFT implementation completed successfully!")
     peak_frequencies = [
-        f for f, m in zip(
-            frequencies[:len(frequencies)//2], 
-            magnitudes[:len(magnitudes)//2]
-        ) if m > max(magnitudes[:len(magnitudes)//2]) * 0.1
+        f
+        for f, m in zip(
+            frequencies[: len(frequencies) // 2], magnitudes[: len(magnitudes) // 2]
+        )
+        if m > max(magnitudes[: len(magnitudes) // 2]) * 0.1
     ]
     print(f"Peak frequencies detected: {peak_frequencies}")