





'''simple docstring'''







from itertools import count
from math import asin, pi, sqrt





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      str )			->						float:
						return (
						    (1 - 2 * point) * sqrt(point - point**2 ) + 2 * point + asin(sqrt(1 - point ) )
						) / 4





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      Tuple )			->						float:
						UpperCAmelCase_      :   Optional[int]      =	(circles_number + 1 - sqrt(2 * circles_number )) / (
						    2 * (circles_number**2 + 1)
						)
						UpperCAmelCase_      :   Dict      =	circles_number * intersection_y

						UpperCAmelCase_      :   Dict      =	intersection_x * intersection_y / 2
						UpperCAmelCase_      :   Any      =	circle_bottom_arc_integral(
						    1 / 2 ) - circle_bottom_arc_integral(__a )

						return triangle_area + concave_region_area





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      Optional[int] = 1 / 1000 )			->						int:
						UpperCAmelCase_      :   str      =	(1 - pi / 4) / 4

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

						return -1


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






'''simple docstring'''

from typing import Optional

from ..utils.logging import get_logger
from .audio_classificiation import AudioClassification
from .automatic_speech_recognition import AutomaticSpeechRecognition
from .base import TaskTemplate
from .image_classification import ImageClassification
from .language_modeling import LanguageModeling
from .question_answering import QuestionAnsweringExtractive
from .summarization import Summarization
from .text_classification import TextClassification


_lowerCamelCase :				int														= [
    """AutomaticSpeechRecognition""",
    """AudioClassification""",
    """ImageClassification""",
    """LanguageModeling""",
    """QuestionAnsweringExtractive""",
    """Summarization""",
    """TaskTemplate""",
    """TextClassification""",
]

_lowerCamelCase :				int														= get_logger(__name__)


_lowerCamelCase :				List[str]														= {
    AutomaticSpeechRecognition.task: AutomaticSpeechRecognition,
    AudioClassification.task: AudioClassification,
    ImageClassification.task: ImageClassification,
    LanguageModeling.task: LanguageModeling,
    QuestionAnsweringExtractive.task: QuestionAnsweringExtractive,
    Summarization.task: Summarization,
    TextClassification.task: TextClassification,
}



def  _lowerCAmelCase				(				__a      )  ->      Optional[TaskTemplate]:
     '''simple docstring'''







     _UpperCamelCase  :List[str]       =task_template_dict.get("""task"""      )
     if task_name is None:
          logger.warning(F'''Couldn\'t find template for task \'{task_name}\'. Available templates: {list(__a      )}'''      )
          return None
     _UpperCamelCase  :List[str]       =NAMEaTEMPLATE.get(__a      )
     return template.from_dict(__a      )