"""simple docstring"""







from __future__ import annotations

import random
import string






class     _SCREAMING_SNAKE_CASE       :



   '''simple docstring'''



   def __init__(  self   ,							_SCREAMING_SNAKE_CASE = None  ):


      '''simple docstring'''

      __lowerCamelCase								=				passcode or self.__passcode_creator()
      __lowerCamelCase								=				self.__make_key_list()
      __lowerCamelCase								=				self.__make_shift_key()







   def __str__(  self  ):


      '''simple docstring'''

      return "".join(self.__passcode  )







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      for i in range(1   ,							len(_lowerCamelCase  )   ,							2  ):
         iterlist[i] *= -1
      return iterlist







   def       _A							(  self  ):


      '''simple docstring'''

      __lowerCamelCase								=				string.ascii_letters + string.digits
      __lowerCamelCase								=				[random.choice(_lowerCamelCase  ) for _ in range(random.randint(10   ,							20  )  )]
      return password







   def       _A							(  self  ):


      '''simple docstring'''

      __lowerCamelCase								=				(
          string.ascii_letters + string.digits + string.punctuation + """ \t\n"""
      )

      __lowerCamelCase								=				[]

      # creates points known as breakpoints to break the key_list_options at those
      # points and pivot each substring
      __lowerCamelCase								=				sorted(set(self.__passcode  )  )
      __lowerCamelCase								=				[]

      # algorithm for creating a new shuffled list, keys_l, out of key_list_options
      for i in key_list_options:
         temp_list.extend(_lowerCamelCase  )

         # checking breakpoints at which to pivot temporary sublist and add it into
         # keys_l
         if i in breakpoints or i == key_list_options[-1]:
            keys_l.extend(temp_list[::-1]  )
            temp_list.clear()

        # returning a shuffled keys_l to prevent brute force guessing of shift key
      return keys_l







   def       _A							(  self  ):


      '''simple docstring'''

      __lowerCamelCase								=				sum(self.__neg_pos([ord(_lowerCamelCase  ) for x in self.__passcode]  )  )
      return num if num > 0 else len(self.__passcode  )







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      __lowerCamelCase								=				""""""

      # decoding shift like Caesar cipher algorithm implementing negative shift or
      # reverse shift or left shift
      for i in encoded_message:
         __lowerCamelCase								=				self.__key_list.index(_lowerCamelCase  )
         decoded_message += self.__key_list[
             (position - self.__shift_key) % -len(self.__key_list  )
         ]

      return decoded_message







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      __lowerCamelCase								=				""""""

      # encoding shift like Caesar cipher algorithm implementing positive shift or
      # forward shift or right shift
      for i in plaintext:
         __lowerCamelCase								=				self.__key_list.index(_lowerCamelCase  )
         encoded_message += self.__key_list[
             (position + self.__shift_key) % len(self.__key_list  )
         ]

      return encoded_message



def 			A__						(  lowercase_    :  Any = "Hello, this is a modified Caesar cipher"	)     ->       str:

   '''simple docstring'''





   __lowerCamelCase								=				ShuffledShiftCipher()
   return cipa.decrypt(cipa.encrypt(lowercase_	)	)


if __name__ == "__main__":
     import doctest

     doctest.testmod()







"""simple docstring"""







from __future__ import annotations

from collections.abc import Callable



def 			A__						(  lowercase_    :  Callable[[int | float], int | float]			,   lowercase_    :  int | float			,   lowercase_    :  int | float			,   lowercase_    :  int = 100			,   )     ->       float:
   __lowerCamelCase								=				x_start
   __lowerCamelCase								=				fnc(lowercase_	)
   __lowerCamelCase								=				0.0

   for _ in range(lowercase_	):
      # Approximates small segments of curve as linear and solve
      # for trapezoidal area
      __lowerCamelCase								=				(x_end - x_start) / steps + xa
      __lowerCamelCase								=				fnc(lowercase_	)
      area += abs(fxa + fxa	) * (xa - xa) / 2

      # Increment step
      __lowerCamelCase								=				xa
      __lowerCamelCase								=				fxa
   return area


if __name__ == "__main__":



     def 			A__						(  lowercase_    :  Union[str, Any]	)     ->       int:
        return x**3

     print('''f(x) = x^3''')
     print('''The area between the curve, x = -10, x = 10 and the x axis is:''')
     _SCREAMING_SNAKE_CASE  :		Any        =      1_0
     while i <= 1_0_0_0_0_0:
          _SCREAMING_SNAKE_CASE  :		List[str]        =      trapezoidal_area(f, -5, 5, i)
          print(F"with {i} steps: {area}")
          i *= 1_0






