


def 						_A						(						_lowercase = 3 ,   _lowercase = 7 ,   _lowercase = 1_00_00_00      ) ->      int:


     """simple docstring"""


     __UpperCamelCase      =       0
     __UpperCamelCase      =       1

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


if __name__ == "__main__":
    print(solution(numerator=3, denominator=7, limit=1_0_0_0_0_0_0))




'''simple docstring'''







from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
					from .pipeline_vq_diffusion import LearnedClassifierFreeSamplingEmbeddings, VQDiffusionPipeline

