
"""simple docstring"""







def     __lowerCAmelCase				(_UpperCamelCase       ,  _UpperCamelCase		):

	# Check if the input is valid
	if not len(_UpperCamelCase		) == len(_UpperCamelCase		) == 3:
		raise ValueError('Please enter a valid equation.'		)
	if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
		raise ValueError('Both a & b of two equations can\'t be zero.'		)

	# Extract the coefficients
	__lowerCAmelCase			,   __lowerCAmelCase			,   __lowerCAmelCase			:						List[str]									=      equationa
	__lowerCAmelCase			,   __lowerCAmelCase			,   __lowerCAmelCase			:						List[Any]									=      equationa

	# Calculate the determinants of the matrices
	__lowerCAmelCase			:						Union[str, Any]									=      aa * ba - aa * ba
	__lowerCAmelCase			:						Optional[int]									=      ca * ba - ca * ba
	__lowerCAmelCase			:						str									=      aa * ca - aa * ca

	# Check if the system of linear equations has a solution (using Cramer's rule)
	if determinant == 0:
		if determinant_x == determinant_y == 0:
			raise ValueError('Infinite solutions. (Consistent system)'		)
		else:
			raise ValueError('No solution. (Inconsistent system)'		)
	else:
		if determinant_x == determinant_y == 0:
			# Trivial solution (Inconsistent system)
			return (0.0, 0.0)
		else:
			__lowerCAmelCase			:						List[Any]									=      determinant_x / determinant
			__lowerCAmelCase			:						List[Any]									=      determinant_y / determinant
			# Non-Trivial Solution (Consistent system)
			return (x, y)



'''simple docstring'''



A__		:					Optional[int]												=  """ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"""



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				bytes							)     ->		bytes:
     # Make sure the supplied data is a bytes-like object
     if not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          __lowerCamelCase   :	Dict								=		F'a bytes-like object is required, not \'{data.__class__.__name__}\''
          raise TypeError(UpperCAmelCase_							)

     __lowerCamelCase   :	Optional[int]								=		''.join(bin(UpperCAmelCase_							)[2:].zfill(8							) for byte in data							)

     __lowerCamelCase   :	Any								=		len(UpperCAmelCase_							) % 6 != 0

     if padding_needed:
          # The padding that will be added later
          __lowerCamelCase   :	int								=		B'=' * ((6 - len(UpperCAmelCase_							) % 6) // 2)

          # Append binary_stream with arbitrary binary digits (0's by default) to make its
          # length a multiple of 6.
          binary_stream += "0" * (6 - len(UpperCAmelCase_							) % 6)
     else:
          __lowerCamelCase   :	str								=		B''

     # Encode every 6 binary digits to their corresponding Base64 character
     return (
         "".join(
             B64_CHARSET[int(binary_stream[index : index + 6]      ,    2							)]
             for index in range(0      ,    len(UpperCAmelCase_							)      ,    6							)							).encode()
         + padding
     )



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				str							)     ->		bytes:
     # Make sure encoded_data is either a string or a bytes-like object
     if not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							) and not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          __lowerCamelCase   :	Dict								=		(
              'argument should be a bytes-like object or ASCII string, '
              F'not \'{encoded_data.__class__.__name__}\''
          )
          raise TypeError(UpperCAmelCase_							)

     # In case encoded_data is a bytes-like object, make sure it contains only
     # ASCII characters so we convert it to a string object
     if isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          try:
               __lowerCamelCase   :	int								=		encoded_data.decode('utf-8'							)
          except UnicodeDecodeError:
               raise ValueError('base64 encoded data should only contain ASCII characters'							)

     __lowerCamelCase   :	Union[str, Any]								=		encoded_data.count('='							)

     # Check if the encoded string contains non base64 characters
     if padding:
          assert all(
              char in B64_CHARSET for char in encoded_data[:-padding]							), "Invalid base64 character(s) found."
     else:
          assert all(
              char in B64_CHARSET for char in encoded_data							), "Invalid base64 character(s) found."

     # Check the padding
     assert len(UpperCAmelCase_							) % 4 == 0 and padding < 3, "Incorrect padding"

     if padding:
          # Remove padding if there is one
          __lowerCamelCase   :	Any								=		encoded_data[:-padding]

          __lowerCamelCase   :	Optional[Any]								=		''.join(
              bin(B64_CHARSET.index(UpperCAmelCase_							)							)[2:].zfill(6							) for char in encoded_data							)[: -padding * 2]
     else:
          __lowerCamelCase   :	Any								=		''.join(
              bin(B64_CHARSET.index(UpperCAmelCase_							)							)[2:].zfill(6							) for char in encoded_data							)

     __lowerCamelCase   :	str								=		[
         int(binary_stream[index : index + 8]      ,    2							)
         for index in range(0      ,    len(UpperCAmelCase_							)      ,    8							)
     ]

     return bytes(UpperCAmelCase_							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()






