






'''simple docstring'''





import mpmath  # for roots of unity
import numpy as np







class  _lowercase   :
      def __init__(     self				,			a=None				,			a=None   ):
       # Input as list
       snake_case__  :    Tuple							       =list(poly_a or [0]   )[:]
       snake_case__  :    Union[str, Any]							       =list(poly_b or [0]   )[:]

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

       while self.polyB[-1] == 0:
        self.polyB.pop()
       snake_case__  :    Optional[int]							       =len(self.polyB   )

       # Add 0 to make lengths equal a power of 2
       snake_case__  :    Union[str, 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
       snake_case__  :    List[Any]							       =complex(mpmath.root(x=1				,			n=self.c_max_length				,			k=1   )   )

       # The product
       snake_case__  :    Any							       =self.__multiply()
      def 						lowercase__					(     self				,			a   ):
       snake_case__  :    Any							       =[[x] for x in self.polyA] if which == """A""" else [[x] for x in self.polyB]
       # Corner case
       if len(a   ) <= 1:
        return dft[0]
       #
       snake_case__  :    Optional[Any]							       =self.c_max_length // 2
       while next_ncol > 0:
        snake_case__  :    Optional[int]							       =[[] for i in range(a   )]
        snake_case__  :    Any							       =self.root**next_ncol

        # First half of next step
        snake_case__  :    List[Any]							       =1
        for j in range(self.c_max_length // (next_ncol * 2)   ):
         for i in range(a   ):
          new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]   )
         current_root *= root
        # Second half of next step
        snake_case__  :    int							       =1
        for j in range(self.c_max_length // (next_ncol * 2)   ):
         for i in range(a   ):
          new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]   )
         current_root *= root
        # Update
        snake_case__  :    Union[str, Any]							       =new_dft
        snake_case__  :    int							       =next_ncol // 2
       return dft[0]
      def 						lowercase__					(     self   ):
       snake_case__  :    Any							       =self.__dft("""A"""   )
       snake_case__  :    Dict							       =self.__dft("""B"""   )
       snake_case__  :    Optional[Any]							       =[[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
       snake_case__  :    Dict							       =2
       while next_ncol <= self.c_max_length:
        snake_case__  :    List[str]							       =[[] for i in range(a   )]
        snake_case__  :    Optional[Any]							       =self.root ** (next_ncol // 2)
        snake_case__  :    Union[str, Any]							       =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
        snake_case__  :    Any							       =new_inverse_c
        next_ncol *= 2
       # Unpack
       snake_case__  :    Union[str, 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   ):
       snake_case__  :    List[Any]							       ="""A = """ + """ + """.join(
           F"{coef}*x^{i}" for coef, i in enumerate(self.polyA[: self.len_A]   )   )
       snake_case__  :    str							       ="""B = """ + """ + """.join(
           F"{coef}*x^{i}" for coef, i in enumerate(self.polyB[: self.len_B]   )   )
       snake_case__  :    int							       ="""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()













from collections import namedtuple

import requests
from lxml import html  # type: ignore

__lowerCamelCase	:		Any										=   namedtuple("""covid_data""", """cases deaths recovered""")







def 			A__							(      _a  :					str = "https://www.worldometers.info/coronavirus/"	):





 '''simple docstring'''







 snake_case__  :    Any							       ="""//div[@class = \"maincounter-number\"]/span/text()"""
 return covid_data(*html.fromstring(requests.get(_a	).content	).xpath(_a	)	)


__lowerCamelCase	:		str										=   """Total COVID-19 cases in the world: {}
Total deaths due to COVID-19 in the world: {}
Total COVID-19 patients recovered in the world: {}"""

print(fmt.format(*covid_stats()))





