

"""simple docstring"""






def 	lowercase_						(     _lowercase							:		int = 10**12						):




					'''simple docstring'''






					UpperCAmelCase      : Union[str, Any]   =					1
					UpperCAmelCase      : List[str]   =					0

					UpperCAmelCase      : Dict   =					1
					UpperCAmelCase      : Union[str, Any]   =					1

					while numerator <= 2 * min_total - 1:
										prev_numerator += 2 * numerator
										numerator += 2 * prev_numerator

										prev_denominator += 2 * denominator
										denominator += 2 * prev_denominator

					return (denominator + 1) // 2


if __name__ == "__main__":
	print(f'''{solution() = }''')




from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available


lowercase   =	{}


try:
		if not is_sentencepiece_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase   =	['''MLukeTokenizer''']

if TYPE_CHECKING:
		try:
				if not is_sentencepiece_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .tokenization_mluke import MLukeTokenizer


else:
		import sys

		lowercase   =	_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)





