

def 			A_      (    _UpperCAmelCase = 3				,	_UpperCAmelCase = 7				,	_UpperCAmelCase = 1_00_00_00    ):
						SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       0
						SCREAMING_SNAKE_CASE_: int  		=       1

						for current_denominator in range(1				,	limit + 1    ):
												SCREAMING_SNAKE_CASE_: int  		=       current_denominator * numerator // denominator
												if current_denominator % denominator == 0:
																		current_numerator -= 1
												if current_numerator * max_denominator > current_denominator * max_numerator:
																		SCREAMING_SNAKE_CASE_: Tuple  		=       current_numerator
																		SCREAMING_SNAKE_CASE_: Tuple  		=       current_denominator
						return max_numerator


if __name__ == "__main__":
						print(solution(numerator=3, denominator=7, limit=1000000))









from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowerCAmelCase							:  Optional[int]   	=						{"""configuration_wavlm""": ["""WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP""", """WavLMConfig"""]}

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCAmelCase							:  Any   	=						[
						    """WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST""",
						    """WavLMForAudioFrameClassification""",
						    """WavLMForCTC""",
						    """WavLMForSequenceClassification""",
						    """WavLMForXVector""",
						    """WavLMModel""",
						    """WavLMPreTrainedModel""",
						]

if TYPE_CHECKING:
						from .configuration_wavlm import WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP, WavLMConfig

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_wavlm import (
												    WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST,
												    WavLMForAudioFrameClassification,
												    WavLMForCTC,
												    WavLMForSequenceClassification,
												    WavLMForXVector,
												    WavLMModel,
												    WavLMPreTrainedModel,
												)

else:
						import sys

						lowerCAmelCase							:  Union[str, Any]   	=						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)






