"""simple docstring"""







from __future__ import annotations


def 					a__ (						UpperCAmelCase__    :     float | int						,     UpperCAmelCase__    :     float | int						,     UpperCAmelCase__    :     float | int						,     )->		list[float | int]:
						if not all((nth_term, start_term_a, common_ratio_r)     ):
												return []
						UpperCAmelCase__   		=						[]
						UpperCAmelCase__   		=						1
						UpperCAmelCase__   		=						common_ratio_r
						for _ in range(int(UpperCAmelCase__     )     ):
												if not series:
																		series.append(UpperCAmelCase__     )
												else:
																		power += 1
																		series.append(float(start_term_a * multiple     )     )
																		UpperCAmelCase__   		=						pow(float(UpperCAmelCase__     )						,     UpperCAmelCase__     )
						return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						UpperCamelCase_    :    str											=						float(input("""Enter the last number (n term) of the Geometric Series"""))
						UpperCamelCase_    :    Union[str, Any]											=						float(input("""Enter the starting term (a) of the Geometric Series"""))
						UpperCamelCase_    :    Dict											=						float(
						    input("""Enter the common ratio between two terms (r) of the Geometric Series""")
						)
						print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
						print(geometric_series(nth_term, start_term_a, common_ratio_r))


"""simple docstring"""







from collections import namedtuple

UpperCamelCase_    :    Any											=						namedtuple("""from_to""", """from_ to""")

UpperCamelCase_    :    Union[str, Any]											=						{
    """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""",
}

UpperCamelCase_    :    str											=						{
    """mm""": from_to(0.001, 1000),
    """cm""": from_to(0.01, 100),
    """m""": from_to(1, 1),
    """km""": from_to(1000, 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 					a__ (						UpperCAmelCase__    :     float						,     UpperCAmelCase__    :     str						,     UpperCAmelCase__    :     str     )->		float:
						UpperCAmelCase__   		=						from_type.lower().rstrip("""s"""     )
						UpperCAmelCase__   		=						TYPE_CONVERSION.get(UpperCAmelCase__						,     UpperCAmelCase__     )
						UpperCAmelCase__   		=						to_type.lower().rstrip("""s"""     )
						UpperCAmelCase__   		=						TYPE_CONVERSION.get(UpperCAmelCase__						,     UpperCAmelCase__     )
						if new_from not in METRIC_CONVERSION:
												UpperCAmelCase__   		=						(
												    f'Invalid \'from_type\' value: {from_type!r}.\n'
												    f'Conversion abbreviations are: {", ".join(UpperCAmelCase__     )}'
												)
												raise ValueError(UpperCAmelCase__     )
						if new_to not in METRIC_CONVERSION:
												UpperCAmelCase__   		=						(
												    f'Invalid \'to_type\' value: {to_type!r}.\n'
												    f'Conversion abbreviations are: {", ".join(UpperCAmelCase__     )}'
												)
												raise ValueError(UpperCAmelCase__     )
						return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
						import doctest

						doctest.testmod()

