

from itertools import count
from math import asin, pi, sqrt
def 					a				(      A__     :       float					)   ->				float:





      """simple docstring"""



      return (
          (1 - 2 * point) * sqrt(point - point**2					) + 2 * point + asin(sqrt(1 - point					)					)
      ) / 4
def 					a				(      A__     :       int					)   ->				float:





      """simple docstring"""



      _lowercase     	=(circles_number + 1 - sqrt(2 * circles_number					)) / (
          2 * (circles_number**2 + 1)
      )
      _lowercase     	=circles_number * intersection_y

      _lowercase     	=intersection_x * intersection_y / 2
      _lowercase     	=circle_bottom_arc_integral(
          1 / 2					) - circle_bottom_arc_integral(A__					)

      return triangle_area + concave_region_area
def 					a				(      A__     :       float = 1 / 1000					)   ->				int:





      """simple docstring"""



      _lowercase     	=(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 TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowercase_     =       {
    'configuration_oneformer': ['ONEFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'OneFormerConfig'],
    'processing_oneformer': ['OneFormerProcessor'],
}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  lowercase_     =       ['OneFormerImageProcessor']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  lowercase_     =       [
      'ONEFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
      'OneFormerForUniversalSegmentation',
      'OneFormerModel',
      'OneFormerPreTrainedModel',
  ]

if TYPE_CHECKING:
  from .configuration_oneformer import ONEFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, OneFormerConfig
  from .processing_oneformer import OneFormerProcessor

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .image_processing_oneformer import OneFormerImageProcessor
  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_oneformer import (
        ONEFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
        OneFormerForUniversalSegmentation,
        OneFormerModel,
        OneFormerPreTrainedModel,
    )


else:
  import sys

  lowercase_     =       _LazyModule(__name__, globals()['__file__'], _import_structure)


