
def 		UpperCamelCase     (       _UpperCAmelCase  :   list  )   ->			float:






						'''simple docstring'''

						_lowercase       :	Tuple           =   0
						while len(_UpperCAmelCase  ) > 1:
												_lowercase       :	List[str]           =   0
												# Consider two files with minimum cost to be merged
												for _ in range(2  ):
																		_lowercase       :	Union[str, Any]           =   files.index(min(_UpperCAmelCase  )  )
																		temp += files[min_index]
																		files.pop(_UpperCAmelCase  )
												files.append(_UpperCAmelCase  )
												optimal_merge_cost += temp
						return optimal_merge_cost


if __name__ == "__main__":
							import doctest

							doctest.testmod()






def 		UpperCamelCase     (       _UpperCAmelCase  :   list[int] ,			_UpperCAmelCase  :   list[int]  )   ->			tuple[float, float]:






						'''simple docstring'''

						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
						_lowercase      ,    _lowercase      ,    _lowercase       :	List[str]           =   equationa
						_lowercase      ,    _lowercase      ,    _lowercase       :	List[str]           =   equationa

						# Calculate the determinants of the matrices
						_lowercase       :	List[Any]           =   aa * ba - aa * ba
						_lowercase       :	Tuple           =   ca * ba - ca * ba
						_lowercase       :	Union[str, Any]           =   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:
																		_lowercase       :	str           =   determinant_x / determinant
																		_lowercase       :	Union[str, Any]           =   determinant_y / determinant
																		# Non-Trivial Solution (Consistent system)
																		return (x, y)




