






"""simple docstring"""




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

def        _lowerCamelCase		(  __A      :							float	) ->   float:
    return (
        (1 - 2 * point) * sqrt(point - point**2	) + 2 * point + asin(sqrt(1 - point	)	)
    ) / 4

def        _lowerCamelCase		(  __A      :							int	) ->   float:
    _UpperCAmelCase			: Optional[Any]     					=			(circles_number + 1 - sqrt(2 * circles_number	)) / (
        2 * (circles_number**2 + 1)
    )
    _UpperCAmelCase			: List[Any]     					=			circles_number * intersection_y

    _UpperCAmelCase			: Optional[Any]     					=			intersection_x * intersection_y / 2
    _UpperCAmelCase			: int     					=			circle_bottom_arc_integral(
        1 / 2	) - circle_bottom_arc_integral(__A	)

    return triangle_area + concave_region_area

def        _lowerCamelCase		(  __A      :							float = 1 / 1_000	) ->   int:
    _UpperCAmelCase			: int     					=			(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() = }')












def        _lowerCamelCase		(  __A      :							list	) ->   list:
    _UpperCAmelCase			: Dict     					=			1.3
    _UpperCAmelCase			: Any     					=			len(__A	)
    _UpperCAmelCase			: List[Any]     					=			False

    while not completed:
        # Update the gap value for a next comb
        _UpperCAmelCase			: Optional[Any]     					=			int(gap / shrink_factor	)
        if gap <= 1:
            _UpperCAmelCase			: Any     					=			True

        _UpperCAmelCase			: Optional[Any]     					=			0
        while index + gap < len(__A	):
            if data[index] > data[index + gap]:
                # Swap values
                _UpperCAmelCase					,	_UpperCAmelCase			: Union[str, Any]     					=			data[index + gap], data[index]
                _UpperCAmelCase			: Any     					=			False
            index += 1

    return data


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  SCREAMING_SNAKE_CASE								=  input('Enter numbers separated by a comma:\n').strip()
  SCREAMING_SNAKE_CASE								=  [int(item) for item in user_input.split(',')]
  print(comb_sort(unsorted))




