



from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403







def       lowerCAmelCase_     (lowerCAmelCase__:						str						,		lowerCAmelCase__:						complex						,		lowerCAmelCase__:						str = "x"						,		lowerCAmelCase__:						float = 1_0**-1_0						,		lowerCAmelCase__:						int = 1						,		):





			"""simple docstring"""


			UpperCAmelCase_:						Optional[Any]					=			symbols(_A   )
			UpperCAmelCase_:						Union[str, Any]					=			lambdify(_A						,		_A   )
			UpperCAmelCase_:						List[Any]					=			lambdify(_A						,		diff(_A						,		_A   )   )

			UpperCAmelCase_:						Any					=			starting_point

			while True:
						if diff_function(_A   ) != 0:
									UpperCAmelCase_:						List[Any]					=			prev_guess - multiplicity * func(_A   ) / diff_function(
									    _A   )
						else:
									raise ZeroDivisionError("""Could not find root"""   ) from None

						# Precision is checked by comparing the difference of consecutive guesses
						if abs(next_guess - prev_guess   ) < precision:
									return next_guess

						UpperCAmelCase_:						Dict					=			next_guess


# Let's Execute
if __name__ == "__main__":
	# Find root of trigonometric function
	# Find value of pi
	print(F'''The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}''')

	# Find root of polynomial
	# Find fourth Root of 5
	print(F'''The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5J)}''')

	# Find value of e
	print(
	    'The root of log(y) - 1 = 0 is ',
	    F'''{newton_raphson("log(y) - 1", 2, variable="y")}''',
	)

	# Exponential Roots
	print(
	    'The root of exp(x) - 1 = 0 is',
	    F'''{newton_raphson("exp(x) - 1", 10, precision=0.0_0_5)}''',
	)

	# Find root of cos(x)
	print(F'''The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}''')










from PIL import Image

def       lowercase_		(		_A			:    Image						):

      """simple docstring"""




      lowerCamelCase__    ,   lowerCamelCase__		:				List[str]    =  image.size
      lowerCamelCase__		:				Dict    =  0
      lowerCamelCase__		:				Dict    =  image.load()
      for i in range(_A						):
            for j in range(_A						):
                  lowerCamelCase__		:				List[str]    =  pixels[j, i]
                  mean += pixel
      mean //= width * height

      for j in range(_A						):
            for i in range(_A						):
                  lowerCamelCase__		:				Union[str, Any]    =  255 if pixels[i, j] > mean else 0
      return image


if __name__ == "__main__":
    A      :    int		=					mean_threshold(Image.open("path_to_image").convert("L"))
    image.save("output_image_path")


