





from __future__ import annotations

from decimal import Decimal

from numpy import array





def      _lowercase					(						_UpperCAmelCase				)						->  Tuple:
				lowerCamelCase	 =Decimal

				# Check if the provided matrix has 2 rows and 2 columns
				# since this implementation only works for 2x2 matrices
				if len(_UpperCAmelCase				) == 2 and len(matrix[0]				) == 2 and len(matrix[1]				) == 2:
								# Calculate the determinant of the matrix
								lowerCamelCase	 =float(
								    d(matrix[0][0]				) * d(matrix[1][1]				) - d(matrix[1][0]				) * d(matrix[0][1]				)				)
								if determinant == 0:
												raise ValueError("""This matrix has no inverse."""				)

								# Creates a copy of the matrix with swapped positions of the elements
								lowerCamelCase	 =[[0.0, 0.0], [0.0, 0.0]]
								lowerCamelCase ,  lowerCamelCase	 =matrix[1][1], matrix[0][0]
								lowerCamelCase ,  lowerCamelCase	 =-matrix[1][0], -matrix[0][1]

								# Calculate the inverse of the matrix
								return [
								    [(float(d(_UpperCAmelCase				)				) / determinant) or 0.0 for n in row] for row in swapped_matrix
								]
				elif (
				    len(_UpperCAmelCase				) == 3
				    and len(matrix[0]				) == 3
				    and len(matrix[1]				) == 3
				    and len(matrix[2]				) == 3
				):
								# Calculate the determinant of the matrix using Sarrus rule
								lowerCamelCase	 =float(
								    (
								        (d(matrix[0][0]				) * d(matrix[1][1]				) * d(matrix[2][2]				))
								        + (d(matrix[0][1]				) * d(matrix[1][2]				) * d(matrix[2][0]				))
								        + (d(matrix[0][2]				) * d(matrix[1][0]				) * d(matrix[2][1]				))
								    )
								    - (
								        (d(matrix[0][2]				) * d(matrix[1][1]				) * d(matrix[2][0]				))
								        + (d(matrix[0][1]				) * d(matrix[1][0]				) * d(matrix[2][2]				))
								        + (d(matrix[0][0]				) * d(matrix[1][2]				) * d(matrix[2][1]				))
								    )				)
								if determinant == 0:
												raise ValueError("""This matrix has no inverse."""				)

								# Creating cofactor matrix
								lowerCamelCase	 =[
								    [d(0.0				), d(0.0				), d(0.0				)],
								    [d(0.0				), d(0.0				), d(0.0				)],
								    [d(0.0				), d(0.0				), d(0.0				)],
								]
								lowerCamelCase	 =(d(matrix[1][1]				) * d(matrix[2][2]				)) - (
								    d(matrix[1][2]				) * d(matrix[2][1]				)
								)
								lowerCamelCase	 =-(
								    (d(matrix[1][0]				) * d(matrix[2][2]				)) - (d(matrix[1][2]				) * d(matrix[2][0]				))
								)
								lowerCamelCase	 =(d(matrix[1][0]				) * d(matrix[2][1]				)) - (
								    d(matrix[1][1]				) * d(matrix[2][0]				)
								)
								lowerCamelCase	 =-(
								    (d(matrix[0][1]				) * d(matrix[2][2]				)) - (d(matrix[0][2]				) * d(matrix[2][1]				))
								)
								lowerCamelCase	 =(d(matrix[0][0]				) * d(matrix[2][2]				)) - (
								    d(matrix[0][2]				) * d(matrix[2][0]				)
								)
								lowerCamelCase	 =-(
								    (d(matrix[0][0]				) * d(matrix[2][1]				)) - (d(matrix[0][1]				) * d(matrix[2][0]				))
								)
								lowerCamelCase	 =(d(matrix[0][1]				) * d(matrix[1][2]				)) - (
								    d(matrix[0][2]				) * d(matrix[1][1]				)
								)
								lowerCamelCase	 =-(
								    (d(matrix[0][0]				) * d(matrix[1][2]				)) - (d(matrix[0][2]				) * d(matrix[1][0]				))
								)
								lowerCamelCase	 =(d(matrix[0][0]				) * d(matrix[1][1]				)) - (
								    d(matrix[0][1]				) * d(matrix[1][0]				)
								)

								# Transpose the cofactor matrix (Adjoint matrix)
								lowerCamelCase	 =array(_UpperCAmelCase				)
								for i in range(3				):
												for j in range(3				):
																lowerCamelCase	 =cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
								lowerCamelCase	 =array(_UpperCAmelCase				)
								for i in range(3				):
												for j in range(3				):
																inverse_matrix[i][j] /= d(_UpperCAmelCase				)

        # Calculate the inverse of the matrix
								return [[float(d(_UpperCAmelCase				)				) or 0.0 for n in row] for row in inverse_matrix]
				raise ValueError("""Please provide a matrix of size 2x2 or 3x3."""				)












import os

try:
							from .build_directory_md import good_file_paths
except ImportError:
							from build_directory_md import good_file_paths  # type: ignore

UpperCAmelCase__						:			List[Any]									=list(good_file_paths())
assert filepaths, "good_file_paths() failed!"

UpperCAmelCase__						:			Dict									=[file for file in filepaths if file != file.lower()]
if upper_files:
							print(F"{len(upper_files)} files contain uppercase characters:")
							print('''\n'''.join(upper_files) + '''\n''')

UpperCAmelCase__						:			Dict									=[file for file in filepaths if ''' ''' in file]
if space_files:
							print(F"{len(space_files)} files contain space characters:")
							print('''\n'''.join(space_files) + '''\n''')

UpperCAmelCase__						:			Dict									=[file for file in filepaths if '''-''' in file]
if hyphen_files:
							print(F"{len(hyphen_files)} files contain hyphen characters:")
							print('''\n'''.join(hyphen_files) + '''\n''')

UpperCAmelCase__						:			Optional[int]									=[file for file in filepaths if os.sep not in file]
if nodir_files:
							print(F"{len(nodir_files)} files are not in a directory:")
							print('''\n'''.join(nodir_files) + '''\n''')

UpperCAmelCase__						:			str									=len(upper_files + space_files + hyphen_files + nodir_files)
if bad_files:
							import sys

							sys.exit(bad_files)





