


from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


__UpperCamelCase							:							int    							=					{
    '''configuration_unispeech_sat''': ['''UNISPEECH_SAT_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''UniSpeechSatConfig'''],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       __UpperCamelCase							:							Any    							=					[
           '''UNISPEECH_SAT_PRETRAINED_MODEL_ARCHIVE_LIST''',
           '''UniSpeechSatForAudioFrameClassification''',
           '''UniSpeechSatForCTC''',
           '''UniSpeechSatForPreTraining''',
           '''UniSpeechSatForSequenceClassification''',
           '''UniSpeechSatForXVector''',
           '''UniSpeechSatModel''',
           '''UniSpeechSatPreTrainedModel''',
       ]

if TYPE_CHECKING:
       from .configuration_unispeech_sat import UNISPEECH_SAT_PRETRAINED_CONFIG_ARCHIVE_MAP, UniSpeechSatConfig

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_unispeech_sat import (
                  UNISPEECH_SAT_PRETRAINED_MODEL_ARCHIVE_LIST,
                  UniSpeechSatForAudioFrameClassification,
                  UniSpeechSatForCTC,
                  UniSpeechSatForPreTraining,
                  UniSpeechSatForSequenceClassification,
                  UniSpeechSatForXVector,
                  UniSpeechSatModel,
                  UniSpeechSatPreTrainedModel,
              )

else:
       import sys

       __UpperCamelCase							:							Optional[int]    							=					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)








from itertools import count
from math import asin, pi, sqrt
def 							__lowerCAmelCase			(UpperCAmelCase_		):
    return (
        (1 - 2 * point) * sqrt(point - point**2		) + 2 * point + asin(sqrt(1 - point		)		)
    ) / 4
def 							__lowerCAmelCase			(UpperCAmelCase_		):
    a__  			=							(circles_number + 1 - sqrt(2 * circles_number		)) / (
        2 * (circles_number**2 + 1)
    )
    a__  			=							circles_number * intersection_y

    a__  			=							intersection_x * intersection_y / 2
    a__  			=							circle_bottom_arc_integral(
        1 / 2		) - circle_bottom_arc_integral(UpperCAmelCase_		)

    return triangle_area + concave_region_area
def 							__lowerCAmelCase			(UpperCAmelCase_ = 1 / 1_000		):
    a__  			=							(1 - pi / 4) / 4

    for n in count(1		):
        if concave_triangle_area(UpperCAmelCase_		) / l_section_area < fraction:
            return n

    return -1


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






