


from itertools import count
from math import asin, pi, sqrt
def     UpperCamelCase_(			_A				:float					)->						float:
			return (
			    (1 - 2 * point) * sqrt(point - point**2					) + 2 * point + asin(sqrt(1 - point					)					)
			) / 4
def     UpperCamelCase_(			_A				:int					)->						float:
			UpperCamelCase__   =    (circles_number + 1 - sqrt(2 * circles_number					)) / (
			    2 * (circles_number**2 + 1)
			)
			UpperCamelCase__   =    circles_number * intersection_y

			UpperCamelCase__   =    intersection_x * intersection_y / 2
			UpperCamelCase__   =    circle_bottom_arc_integral(
			    1 / 2					) - circle_bottom_arc_integral(_A					)

			return triangle_area + concave_region_area
def     UpperCamelCase_(			_A				:float = 1 / 10_00					)->						int:
			UpperCamelCase__   =    (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() = }''')






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


__UpperCamelCase      						=    [
    'AutomaticSpeechRecognition',
    'AudioClassification',
    'ImageClassification',
    'LanguageModeling',
    'QuestionAnsweringExtractive',
    'Summarization',
    'TaskTemplate',
    'TextClassification',
]

__UpperCamelCase      						=    get_logger(__name__)


__UpperCamelCase      						=    {
    AutomaticSpeechRecognition.task: AutomaticSpeechRecognition,
    AudioClassification.task: AudioClassification,
    ImageClassification.task: ImageClassification,
    LanguageModeling.task: LanguageModeling,
    QuestionAnsweringExtractive.task: QuestionAnsweringExtractive,
    Summarization.task: Summarization,
    TextClassification.task: TextClassification,
}
def     UpperCamelCase_(			_A				:dict					)->						Optional[TaskTemplate]:
			UpperCamelCase__   =    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__   =    NAMEaTEMPLATE.get(_A					)
			return template.from_dict(_A					)


