
from collections import namedtuple

lowerCAmelCase__		:					Optional[Any]							=namedtuple('''from_to''', '''from_ to''')

lowerCAmelCase__		:					Tuple							={
    '''cubicmeter''': from_to(1, 1),
    '''litre''': from_to(0.001, 1000),
    '''kilolitre''': from_to(1, 1),
    '''gallon''': from_to(0.00_454, 264.172),
    '''cubicyard''': from_to(0.76_455, 1.30_795),
    '''cubicfoot''': from_to(0.028, 35.3_147),
    '''cup''': from_to(0.000_236_588, 4_226.75),
}






def      __lowercase       (			a__							,       a__							,       a__       )    ->			float:
							if from_type not in METRIC_CONVERSION:
														raise ValueError(
														    f"""Invalid \'from_type\' value: {from_type!r}  Supported values are:\n"""
														    + ', '.join(lowerCAmelCase__       )       )
							if to_type not in METRIC_CONVERSION:
														raise ValueError(
														    f"""Invalid \'to_type\' value: {to_type!r}.  Supported values are:\n"""
														    + ', '.join(lowerCAmelCase__       )       )
							return value * METRIC_CONVERSION[from_type].from_ * METRIC_CONVERSION[to_type].to


if __name__ == "__main__":
			import doctest

			doctest.testmod()











from __future__ import annotations

from collections.abc import Generator






def      __lowercase       (			)    ->			Generator[int, None, None]:
							__SCREAMING_SNAKE_CASE									= {}
							__SCREAMING_SNAKE_CASE									= 2
							while True:
														__SCREAMING_SNAKE_CASE									= factor_map.pop(a__							,       a__       )
														if factor:
																					__SCREAMING_SNAKE_CASE									= factor + prime
																					while x in factor_map:
																												x += factor
																					__SCREAMING_SNAKE_CASE									= factor
														else:
																					__SCREAMING_SNAKE_CASE									= prime
																					yield prime
														prime += 1






def      __lowercase       (			a__ = 1E10       )    ->			int:
							__SCREAMING_SNAKE_CASE									= sieve()

							__SCREAMING_SNAKE_CASE									= 1
							while True:
														__SCREAMING_SNAKE_CASE									= next(a__       )
														if (2 * prime * n) > limit:
																					return n
														# Ignore the next prime as the reminder will be 2.
														next(a__       )
														n += 2


if __name__ == "__main__":
			print(solution())






