





from decimal import Decimal, getcontext
from math import ceil, factorial




def     __UpperCamelCase						(_SCREAMING_SNAKE_CASE	)       ->     str:

  if not isinstance(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	):
    raise TypeError('Undefined for non-integers'	)
  elif precision < 1:
    raise ValueError('Undefined for non-natural numbers'	)

  lowercase__			    =						precision
  lowercase__			    =						ceil(precision / 14	)
  lowercase__			    =						426880 * Decimal(10005	).sqrt()
  lowercase__			    =						1
  lowercase__			    =						13591409
  lowercase__			    =						Decimal(_SCREAMING_SNAKE_CASE	)
  for k in range(1	,		_SCREAMING_SNAKE_CASE	):
    lowercase__			    =						factorial(6 * k	) // (factorial(3 * k	) * factorial(_SCREAMING_SNAKE_CASE	) ** 3)
    linear_term += 545140134
    exponential_term *= -262537412640768000
    partial_sum += Decimal(multinomial_term * linear_term	) / exponential_term
  return str(constant_term / partial_sum	)[:-1]


if __name__ == "__main__":
      lowercase_					     =	50
      print(f'''The first {n} digits of pi is: {pi(n)}''')









from PIL import Image




def     __UpperCamelCase						(_SCREAMING_SNAKE_CASE	,		_SCREAMING_SNAKE_CASE	)       ->     Image:

  def brightness(_SCREAMING_SNAKE_CASE	) -> float:
    return 128 + level + (c - 128)

  if not -2_5_5.0 <= level <= 2_5_5.0:
    raise ValueError('level must be between -255.0 (black) and 255.0 (white)'	)
  return img.point(_SCREAMING_SNAKE_CASE	)


if __name__ == "__main__":
      # Load image
      with Image.open("""image_data/lena.jpg""") as img:
            # Change brightness to 100
            lowercase_					     =	change_brightness(img, 100)
            brigt_img.save("""image_data/lena_brightness.png""", format="""png""")


