
from __future__ import annotations

from collections.abc import MutableSequence







class        lowercase	:




							def __init__(       self     ,A__     ,A__):
												if len(A__) != degree + 1:
																	raise ValueError(
																	    '''The number of coefficients should be equal to the degree + 1.''')

												lowercase					=		list(A__)
												lowercase					=		degree




							def __add__(       self     ,A__):

												if self.degree > polynomial_a.degree:
																	lowercase					=		self.coefficients[:]
																	for i in range(polynomial_a.degree + 1):
																						coefficients[i] += polynomial_a.coefficients[i]
																	return Polynomial(self.degree     ,A__)
												else:
																	lowercase					=		polynomial_a.coefficients[:]
																	for i in range(self.degree + 1):
																						coefficients[i] += self.coefficients[i]
																	return Polynomial(polynomial_a.degree     ,A__)




							def __sub__(       self     ,A__):
												return self + polynomial_a * Polynomial(0     ,[-1])




							def __neg__(       self):
												return Polynomial(self.degree     ,[-c for c in self.coefficients])




							def __mul__(       self     ,A__):
												lowercase					=		[0] * (self.degree + polynomial_a.degree + 1)
												for i in range(self.degree + 1):
																	for j in range(polynomial_a.degree + 1):
																						coefficients[i + j] += (
																						    self.coefficients[i] * polynomial_a.coefficients[j]
																						)

												return Polynomial(self.degree + polynomial_a.degree     ,A__)




							def 				A__   (       self     ,A__):
												lowercase					=		0
												for i in range(self.degree + 1):
																	result += self.coefficients[i] * (substitution**i)
												return result




							def __str__(       self):
												lowercase					=		''''''
												for i in range(self.degree     ,-1     ,-1):
																	if self.coefficients[i] == 0:
																						continue
																	elif self.coefficients[i] > 0:
																						if polynomial:
																											polynomial += " + "
																	else:
																						polynomial += " - "

																	if i == 0:
																						polynomial += str(abs(self.coefficients[i]))
																	elif i == 1:
																						polynomial += str(abs(self.coefficients[i])) + "x"
																	else:
																						polynomial += str(abs(self.coefficients[i])) + "x^" + str(A__)

												return polynomial




							def __repr__(       self):
												return self.__str__()




							def 				A__   (       self):
												lowercase					=		[0] * self.degree
												for i in range(self.degree):
																	lowercase					=		self.coefficients[i + 1] * (i + 1)
												return Polynomial(self.degree - 1     ,A__)




							def 				A__   (       self     ,A__ = 0):
												lowercase					=		[0] * (self.degree + 2)
												lowercase					=		constant
												for i in range(self.degree + 1):
																	lowercase					=		self.coefficients[i] / (i + 1)
												return Polynomial(self.degree + 1     ,A__)




							def __eq__(       self     ,A__):
												if not isinstance(A__     ,A__):
																	return False

												if self.degree != polynomial_a.degree:
																	return False

												for i in range(self.degree + 1):
																	if self.coefficients[i] != polynomial_a.coefficients[i]:
																						return False

												return True





							def __ne__(       self     ,A__):
												return not self.__eq__(A__)






from pathlib import Path

import numpy as np
from PIL import Image



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					lowercase			,		lowercase			,		lowercase					=		rgb[:, :, 0], rgb[:, :, 1], rgb[:, :, 2]
					return 0.29_89 * r + 0.58_70 * g + 0.11_40 * b



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					return (gray > 127) & (gray <= 255)



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					lowercase					=		np.zeros_like(lowerCAmelCase__	)
					lowercase					=		np.zeros(
					    (image.shape[0] + kernel.shape[0] - 1, image.shape[1] + kernel.shape[1] - 1)	)

					# Copy image to padded image
					lowercase					=		image

					# Iterate over image & apply kernel
					for x in range(image.shape[1]	):
										for y in range(image.shape[0]	):
															lowercase					=		(
															    kernel * image_padded[y : y + kernel.shape[0], x : x + kernel.shape[1]]
															).sum()
															lowercase					=		int(summation > 0	)
					return output


if __name__ == "__main__":
							# read original image
							lowercase__	:str										=					Path(__file__).resolve().parent / "image_data" / "lena.jpg"
							lowercase__	:List[str]										=					np.array(Image.open(lena_path))
							# kernel to be applied
							lowercase__	:Union[str, Any]										=					np.array([[0, 1, 0], [1, 1, 1], [0, 1, 0]])
							lowercase__	:Optional[int]										=					dilation(gray_to_binary(rgb_to_gray(lena)), structuring_element)
							# Save the output image
							lowercase__	:str										=					Image.fromarray(output).convert("RGB")
							pil_img.save("result_dilation.png")




