

def 			_UpperCAmelCase							(		a__       ,					a__       ,					a__):

			'''simple docstring'''



			if common_ratio == 1:
						# Formula for sum if common ratio is 1
						return num_of_terms * first_term

			# Formula for finding sum of n terms of a GeometricProgression
			return (first_term / (1 - common_ratio)) * (1 - common_ratio**num_of_terms)





from collections import namedtuple

__snake_case							:     Optional[Any] 						=	namedtuple("""from_to""", """from_ to""")

__snake_case							:     Tuple 						=	{
    """millimeter""": """mm""",
    """centimeter""": """cm""",
    """meter""": """m""",
    """kilometer""": """km""",
    """inch""": """in""",
    """inche""": """in""",  # Trailing 's' has been stripped off
    """feet""": """ft""",
    """foot""": """ft""",
    """yard""": """yd""",
    """mile""": """mi""",
}

__snake_case							:     Optional[int] 						=	{
    """mm""": from_to(0.001, 10_00),
    """cm""": from_to(0.01, 1_00),
    """m""": from_to(1, 1),
    """km""": from_to(10_00, 0.001),
    """in""": from_to(0.0254, 39.3701),
    """ft""": from_to(0.3048, 3.2_8084),
    """yd""": from_to(0.9144, 1.0_9361),
    """mi""": from_to(1609.34, 0.0_0062_1371),
}


def 			_UpperCAmelCase							(		a__       ,					a__       ,					a__):

			'''simple docstring'''



			a_		:		List[str]				    =				from_type.lower().rstrip("""s""")
			a_		:		Union[str, Any]				    =				TYPE_CONVERSION.get(a__       ,					a__)
			a_		:		Optional[int]				    =				to_type.lower().rstrip("""s""")
			a_		:		Optional[int]				    =				TYPE_CONVERSION.get(a__       ,					a__)
			if new_from not in METRIC_CONVERSION:
						a_		:		Any				    =				(
						    f'''Invalid \'from_type\' value: {from_type!r}.\n'''
						    f'''Conversion abbreviations are: {", ".join(a__)}'''
						)
						raise ValueError(a__)
			if new_to not in METRIC_CONVERSION:
						a_		:		Union[str, Any]				    =				(
						    f'''Invalid \'to_type\' value: {to_type!r}.\n'''
						    f'''Conversion abbreviations are: {", ".join(a__)}'''
						)
						raise ValueError(a__)
			return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
	import doctest

	doctest.testmod()


