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

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

Author: pre-commit-ci[bot]

maths/lucas_series.py

@@ -73,35 +73,41 @@ def matrix_power_lucas_number(n_th_number: int) -> int:
     """
     if not isinstance(n_th_number, int):
         raise TypeError("matrix_power_lucas_number accepts only integer arguments.")
-    
+
     if n_th_number == 0:
         return 2
     if n_th_number == 1:
         return 1
-    
+
     def matrix_mult(a: list[list[int]], b: list[list[int]]) -> list[list[int]]:
         return [
-            [a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]],
-            [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1]],
+            [
+                a[0][0] * b[0][0] + a[0][1] * b[1][0],
+                a[0][0] * b[0][1] + a[0][1] * b[1][1],
+            ],
+            [
+                a[1][0] * b[0][0] + a[1][1] * b[1][0],
+                a[1][0] * b[0][1] + a[1][1] * b[1][1],
+            ],
         ]
-    
+
     def matrix_power(matrix: list[list[int]], power: int) -> list[list[int]]:
         # Start with identity matrix
         result: list[list[int]] = [[1, 0], [0, 1]]
         base = matrix
-        
+
         while power > 0:
             if power % 2 == 1:
                 result = matrix_mult(result, base)
             base = matrix_mult(base, base)
             power //= 2
-        
+
         return result
-    
+
     # Lucas number matrix form: [[1, 1], [1, 0]]
     base_matrix = [[1, 1], [1, 0]]
     powered_matrix = matrix_power(base_matrix, n_th_number - 1)
-    
+
     # L(n) = powered_matrix[0][0] * L(1) + powered_matrix[0][1] * L(0)
     # Where L(1) = 1, L(0) = 2
     return powered_matrix[0][0] * 1 + powered_matrix[0][1] * 2