

def       __lowerCamelCase			(				UpperCamelCase__   ):







							'''simple docstring'''






							snake_case_           =					len(__A   )
							snake_case_           =					len(matrix[0]   )
							snake_case_           =					min(__A     ,							__A   )

							for row in range(__A   ):
														# Check if diagonal element is not zero
														if matrix[row][row] != 0:
																					# Eliminate all the elements below the diagonal
																					for col in range(row + 1     ,							__A   ):
																												snake_case_           =					matrix[col][row] / matrix[row][row]
																												for i in range(__A     ,							__A   ):
																																			matrix[col][i] -= multiplier * matrix[row][i]
														else:
																					# Find a non-zero diagonal element to swap rows
																					snake_case_           =					True
																					for i in range(row + 1     ,							__A   ):
																												if matrix[i][row] != 0:
																																			snake_case_       ,					snake_case_           =					matrix[i], matrix[row]
																																			snake_case_           =					False
																																			break
																					if reduce:
																												rank -= 1
																												for i in range(__A   ):
																																			snake_case_           =					matrix[i][rank]

																																			  # Reduce the row pointer by one to stay on the same row
																					row -= 1

							return rank


if __name__ == "__main__":
					import doctest

					doctest.testmod()







import os

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

_UpperCAmelCase	:     Optional[int]		       = 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	:     Tuple		       = [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	:     Union[str, Any]		       = [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	:     List[Any]		       = [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	:     List[str]		       = len(upper_files + space_files + hyphen_files + nodir_files)
if bad_files:
					import sys

					sys.exit(bad_files)




