




"""simple docstring"""

import mpmath  # for roots of unity
import numpy as np

class        lowercase      :







				def __init__(							self   :					str      ,     _lowerCamelCase   :					Tuple=None      ,     _lowerCamelCase   :					List[str]=None       ):



					"""simple docstring"""

					A_  :				Union[str, Any]	   =		list(poly_a or [0]       )[:]
					A_  :				List[str]	   =		list(poly_b or [0]       )[:]

					# Remove leading zero coefficients
					while self.polyA[-1] == 0:
						self.polyA.pop()
					A_  :				Any	   =		len(self.polyA       )

					while self.polyB[-1] == 0:
						self.polyB.pop()
					A_  :				List[str]	   =		len(self.polyB       )

					# Add 0 to make lengths equal a power of 2
					A_  :				List[Any]	   =		int(
					    2 ** np.ceil(np.loga(len(self.polyA       ) + len(self.polyB       ) - 1       )       )       )

					while len(self.polyA       ) < self.c_max_length:
						self.polyA.append(0       )
					while len(self.polyB       ) < self.c_max_length:
						self.polyB.append(0       )
					# A complex root used for the fourier transform
					A_  :				Union[str, Any]	   =		complex(mpmath.root(x=1      ,     n=self.c_max_length      ,     k=1       )       )

					# The product
					A_  :				Dict	   =		self.__multiply()







				def 					a_  (							self   :					Tuple      ,     _lowerCamelCase   :					Optional[int]       ):



					"""simple docstring"""

					A_  :				Optional[int]	   =		[[x] for x in self.polyA] if which == '''A''' else [[x] for x in self.polyB]
					# Corner case
					if len(_lowerCamelCase       ) <= 1:
						return dft[0]
					#
					A_  :				str	   =		self.c_max_length // 2
					while next_ncol > 0:
						A_  :				int	   =		[[] for i in range(_lowerCamelCase       )]
						A_  :				Optional[int]	   =		self.root**next_ncol

						# First half of next step
						A_  :				int	   =		1
						for j in range(self.c_max_length // (next_ncol * 2)       ):
							for i in range(_lowerCamelCase       ):
								new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]       )
							current_root *= root
						# Second half of next step
						A_  :				Dict	   =		1
						for j in range(self.c_max_length // (next_ncol * 2)       ):
							for i in range(_lowerCamelCase       ):
								new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]       )
							current_root *= root
						# Update
						A_  :				Tuple	   =		new_dft
						A_  :				Any	   =		next_ncol // 2
					return dft[0]







				def 					a_  (							self   :					List[Any]       ):



					"""simple docstring"""

					A_  :				int	   =		self.__dft('''A'''       )
					A_  :				Tuple	   =		self.__dft('''B'''       )
					A_  :				Tuple	   =		[[dft_a[i] * dft_b[i] for i in range(self.c_max_length       )]]
					del dft_a
					del dft_b

					# Corner Case
					if len(inverce_c[0]       ) <= 1:
						return inverce_c[0]
					# Inverse DFT
					A_  :				Union[str, Any]	   =		2
					while next_ncol <= self.c_max_length:
						A_  :				Union[str, Any]	   =		[[] for i in range(_lowerCamelCase       )]
						A_  :				List[str]	   =		self.root ** (next_ncol // 2)
						A_  :				List[str]	   =		1
						# First half of next step
						for j in range(self.c_max_length // next_ncol       ):
							for i in range(next_ncol // 2       ):
								# Even positions
								new_inverse_c[i].append(
								    (
								        inverce_c[i][j]
								        + inverce_c[i][j + self.c_max_length // next_ncol]
								    )
								    / 2       )
								# Odd positions
								new_inverse_c[i + next_ncol // 2].append(
								    (
								        inverce_c[i][j]
								        - inverce_c[i][j + self.c_max_length // next_ncol]
								    )
								    / (2 * current_root)       )
							current_root *= root
						# Update
						A_  :				Dict	   =		new_inverse_c
						next_ncol *= 2
					# Unpack
					A_  :				Any	   =		[round(x[0].real      ,     8       ) + round(x[0].imag      ,     8       ) * 1j for x in inverce_c]

					# Remove leading 0's
					while inverce_c[-1] == 0:
						inverce_c.pop()
					return inverce_c







				def __str__(							self   :					Dict       ):



					"""simple docstring"""

					A_  :				Union[str, Any]	   =		'''A = ''' + ''' + '''.join(
					    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]       )       )
					A_  :				Union[str, Any]	   =		'''B = ''' + ''' + '''.join(
					    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]       )       )
					A_  :				Dict	   =		'''A*B = ''' + ''' + '''.join(
					    F"""{coef}*x^{i}""" for coef, i in enumerate(self.product       )       )

					return F"""{a}\n{b}\n{c}"""


# Unit tests
if __name__ == "__main__":
		import doctest

		doctest.testmod()











"""simple docstring"""

import requests
from bsa import BeautifulSoup

def 		lowercase_      (		_UpperCAmelCase = "https://www.worldometers.info/coronavirus"	):




	"""simple docstring"""






	A_  :				str	   =		BeautifulSoup(requests.get(_UpperCAmelCase	).text  ,      '''html.parser'''	)
	A_  :				Union[str, Any]	   =		soup.findAll('''h1'''	)
	A_  :				Union[str, Any]	   =		soup.findAll('''div'''  ,      {'''class''': '''maincounter-number'''}	)
	keys += soup.findAll('''span'''  ,      {'''class''': '''panel-title'''}	)
	values += soup.findAll('''div'''  ,      {'''class''': '''number-table-main'''}	)
	return {key.text.strip(): value.text.strip() for key, value in zip(_UpperCAmelCase  ,      _UpperCAmelCase	)}


if __name__ == "__main__":
		print('\033[1m' + 'COVID-19 Status of the World' + '\033[0m\n')
		for key, value in world_covidaa_stats().items():
				print(f'{key}\n{value}\n')





