



'''simple docstring'''




def        lowerCAmelCase_     (			_lowerCamelCase:     list[list]      ):
		__SCREAMING_SNAKE_CASE :	Optional[Any]					 =	current_set.copy()
		for row_index, row in enumerate(_lowerCamelCase      ):
				__SCREAMING_SNAKE_CASE :	Optional[Any]					 =	row[0]
				for column_index, column in enumerate(_lowerCamelCase      ):
						if magnitude == 0:
								__SCREAMING_SNAKE_CASE :	Any					 =	column
								continue
						__SCREAMING_SNAKE_CASE :	Optional[int]					 =	column / magnitude
    # Subtract to cancel term
		__SCREAMING_SNAKE_CASE :	Tuple					 =	current_set[0]
		__SCREAMING_SNAKE_CASE :	Tuple					 =	[first_row]
		__SCREAMING_SNAKE_CASE :	Union[str, Any]					 =	current_set[1::]
		for row in current_set:
				__SCREAMING_SNAKE_CASE :	Optional[Any]					 =	[]
				# If first term is 0, it is already in form we want, so we preserve it
				if row[0] == 0:
						final_set.append(_lowerCamelCase      )
						continue
				for column_index in range(len(_lowerCamelCase      )      ):
						temp_row.append(first_row[column_index] - row[column_index]      )
				final_set.append(_lowerCamelCase      )
		# Create next recursion iteration set
		if len(final_set[0]      ) != 3:
				__SCREAMING_SNAKE_CASE :	str					 =	final_set[0]
				__SCREAMING_SNAKE_CASE :	Dict					 =	[]
				__SCREAMING_SNAKE_CASE :	Optional[int]					 =	[]
				for row in final_set[1::]:
						current_first_column.append(row[0]      )
						next_iteration.append(row[1::]      )
				__SCREAMING_SNAKE_CASE :	Any					 =	simplify(_lowerCamelCase      )
				for i in range(len(_lowerCamelCase      )      ):
						resultant[i].insert(0 ,   current_first_column[i]      )
				resultant.insert(0 ,   _lowerCamelCase      )
				__SCREAMING_SNAKE_CASE :	Optional[int]					 =	resultant
		return final_set


def        lowerCAmelCase_     (			_lowerCamelCase:     list[list]      ):
		if len(_lowerCamelCase      ) == 0:
				raise IndexError("""solve_simultaneous() requires n lists of length n+1"""      )
		__SCREAMING_SNAKE_CASE :	Optional[int]					 =	len(_lowerCamelCase      ) + 1
		if any(len(_lowerCamelCase      ) != _length for item in equations      ):
				raise IndexError("""solve_simultaneous() requires n lists of length n+1"""      )
		for row in equations:
				if any(not isinstance(_lowerCamelCase ,   (int, float)      ) for column in row      ):
						raise ValueError("""solve_simultaneous() requires lists of integers"""      )
		if len(_lowerCamelCase      ) == 1:
				return [equations[0][-1] / equations[0][0]]
		__SCREAMING_SNAKE_CASE :	Tuple					 =	equations.copy()
		if any(0 in row for row in data_set      ):
				__SCREAMING_SNAKE_CASE :	Any					 =	data_set.copy()
				__SCREAMING_SNAKE_CASE :	Optional[Any]					 =	[]
				for row_index, row in enumerate(_lowerCamelCase      ):
						if 0 not in row:
								__SCREAMING_SNAKE_CASE :	Dict					 =	data_set.pop(_lowerCamelCase      )
								break
				if not full_row:
						raise ValueError("""solve_simultaneous() requires at least 1 full equation"""      )
				data_set.insert(0 ,   _lowerCamelCase      )
		__SCREAMING_SNAKE_CASE :	List[str]					 =	data_set.copy()
		__SCREAMING_SNAKE_CASE :	List[Any]					 =	simplify(_lowerCamelCase      )
		__SCREAMING_SNAKE_CASE :	Tuple					 =	simplified[::-1]
		__SCREAMING_SNAKE_CASE :	list					 =	[]
		for row in simplified:
				__SCREAMING_SNAKE_CASE :	List[str]					 =	row[-1]
				if not solutions:
						if row[-2] == 0:
								solutions.append(0      )
								continue
						solutions.append(current_solution / row[-2]      )
						continue
				__SCREAMING_SNAKE_CASE :	int					 =	row.copy()[: len(_lowerCamelCase      ) - 1 :]
				while temp_row[0] == 0:
						temp_row.pop(0      )
				if len(_lowerCamelCase      ) == 0:
						solutions.append(0      )
						continue
				__SCREAMING_SNAKE_CASE :	Tuple					 =	temp_row[1::]
				__SCREAMING_SNAKE_CASE :	Dict					 =	temp_row[::-1]
				for column_index, column in enumerate(_lowerCamelCase      ):
						current_solution -= column * solutions[column_index]
				solutions.append(_lowerCamelCase      )
		__SCREAMING_SNAKE_CASE :	int					 =	[]
		for item in solutions:
				final.append(float(round(_lowerCamelCase ,   5      )      )      )
		return final[::-1]


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						UpperCamelCase__ :			List[Any]												=				[
						    [2, 1, 1, 1, 1, 4],
						    [1, 2, 1, 1, 1, 5],
						    [1, 1, 2, 1, 1, 6],
						    [1, 1, 1, 2, 1, 7],
						    [1, 1, 1, 1, 2, 8],
						]
						print(solve_simultaneous(eq))
						print(solve_simultaneous([[4, 2]]))




'''simple docstring'''




from unittest.mock import Mock, patch

from file_transfer.send_file import send_file


@patch("""socket.socket"""      )
@patch("""builtins.open"""      )
def        lowerCAmelCase_     (			_lowerCamelCase:     Dict ,   _lowerCamelCase:     List[Any]      ):
		# ===== initialization =====
		__SCREAMING_SNAKE_CASE :	Optional[int]					 =	Mock()
		__SCREAMING_SNAKE_CASE :	Optional[int]					 =	conn, Mock()
		__SCREAMING_SNAKE_CASE :	str					 =	iter([1, None]      )
		__SCREAMING_SNAKE_CASE :	Any					 =	lambda _lowerCamelCase      : next(_lowerCamelCase      )

		# ===== invoke =====
		send_file(filename="""mytext.txt""" ,   testing=_lowerCamelCase      )

		# ===== ensurance =====
		sock.assert_called_once()
		sock.return_value.bind.assert_called_once()
		sock.return_value.listen.assert_called_once()
		sock.return_value.accept.assert_called_once()
		conn.recv.assert_called_once()

		file.return_value.__enter__.assert_called_once()
		file.return_value.__enter__.return_value.read.assert_called()

		conn.send.assert_called_once()
		conn.close.assert_called_once()
		sock.return_value.shutdown.assert_called_once()
		sock.return_value.close.assert_called_once()