





'''simple docstring'''

import math





def lowerCamelCase						(     __lowerCamelCase :    int    )						->bool:
    _SCREAMING_SNAKE_CASE									=			math.loga(math.sqrt(4 * positive_integer + 1    ) / 2 + 1 / 2    )

    return exponent == int(__lowerCamelCase    )





def lowerCamelCase						(     __lowerCamelCase :    float = 1 / 1_2345    )						->int:
    _SCREAMING_SNAKE_CASE									=			0
    _SCREAMING_SNAKE_CASE									=			0

    _SCREAMING_SNAKE_CASE									=			3
    while True:
        _SCREAMING_SNAKE_CASE									=			(integer**2 - 1) / 4
        # if candidate is an integer, then there is a partition for k
        if partition_candidate == int(__lowerCamelCase    ):
            _SCREAMING_SNAKE_CASE									=			int(__lowerCamelCase    )
            total_partitions += 1
            if check_partition_perfect(__lowerCamelCase    ):
                perfect_partitions += 1
        if perfect_partitions > 0:
            if perfect_partitions / total_partitions < max_proportion:
                return int(__lowerCamelCase    )
        integer += 1


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




'''simple docstring'''





import warnings

from ...utils import logging
from .image_processing_clip import CLIPImageProcessor


SCREAMING_SNAKE_CASE_:     Union[str, Any]  =logging.get_logger(__name__)




class        __A      ( UpperCamelCase__	):



    def __init__(self    :    int   ,			*__a    :    Dict   ,			**__a    :    str ):
         warnings.warn(
             "The class CLIPFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"
             " use CLIPImageProcessor instead."   ,			__a   ,			)
         super().__init__(*__a   ,			**__a )




