

def 			lowerCamelCase__			(       _a = 10**12):
	SCREAMING_SNAKE_CASE :   Tuple					  =							1
	SCREAMING_SNAKE_CASE :   Dict					  =							0

	SCREAMING_SNAKE_CASE :   Optional[int]					  =							1
	SCREAMING_SNAKE_CASE :   Optional[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_torch_available, is_vision_available


a_      =     {'configuration_van': ['VAN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'VanConfig']}


try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			a_      =     [
			    'VAN_PRETRAINED_MODEL_ARCHIVE_LIST',
			    'VanForImageClassification',
			    'VanModel',
			    'VanPreTrainedModel',
			]

if TYPE_CHECKING:
			from .configuration_van import VAN_PRETRAINED_CONFIG_ARCHIVE_MAP, VanConfig

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_van import (
						    VAN_PRETRAINED_MODEL_ARCHIVE_LIST,
						    VanForImageClassification,
						    VanModel,
						    VanPreTrainedModel,
						)

else:
			import sys

			a_      =     _LazyModule(__name__, globals()['__file__'], _import_structure)