"""simple docstring"""







from .number_theory.prime_numbers import next_prime






class     _SCREAMING_SNAKE_CASE       :



   '''simple docstring'''



   def __init__(  self   ,							_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE = None   ,							_SCREAMING_SNAKE_CASE = None   ,							):


      '''simple docstring'''

      __lowerCamelCase								=				size_table
      __lowerCamelCase								=				[None] * self.size_table
      __lowerCamelCase								=				0.75 if lim_charge is None else lim_charge
      __lowerCamelCase								=				1 if charge_factor is None else charge_factor
      __lowerCamelCase								=				[]
      __lowerCamelCase								=				{}







   def       _A							(  self  ):


      '''simple docstring'''

      return self._keys







   def       _A							(  self  ):


      '''simple docstring'''

      return sum(1 for slot in self.values if slot is not None  ) / (
          self.size_table * self.charge_factor
      )







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      return key % self.size_table







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      print(F'''step {step_ord}'''  )
      print(list(range(len(self.values  )  )  )  )
      print(self.values  )







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      __lowerCamelCase								=				1
      __lowerCamelCase								=				values
      for value in values:
         self.insert_data(_SCREAMING_SNAKE_CASE  )
         self._step_by_step(_SCREAMING_SNAKE_CASE  )
         i += 1







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      __lowerCamelCase								=				data
      __lowerCamelCase								=				data







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE=None  ):


      '''simple docstring'''

      __lowerCamelCase								=				self.hash_function(key + 1  )

      while self.values[new_key] is not None and self.values[new_key] != key:
         if self.values.count(_SCREAMING_SNAKE_CASE  ) > 0:
            __lowerCamelCase								=				self.hash_function(new_key + 1  )
         else:
            __lowerCamelCase								=				None
            break

      return new_key







   def       _A							(  self  ):


      '''simple docstring'''

      __lowerCamelCase								=				[value for value in self.values if value is not None]
      __lowerCamelCase								=				next_prime(self.size_table   ,							factor=2  )
      self._keys.clear()
      __lowerCamelCase								=				[None] * self.size_table  # hell's pointers D: don't DRY ;/
      for value in survivor_values:
         self.insert_data(_SCREAMING_SNAKE_CASE  )







   def       _A							(  self   ,							_SCREAMING_SNAKE_CASE  ):


      '''simple docstring'''

      __lowerCamelCase								=				self.hash_function(_SCREAMING_SNAKE_CASE  )

      if self.values[key] is None:
         self._set_value(_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE  )

      elif self.values[key] == data:
         pass

      else:
         __lowerCamelCase								=				self._collision_resolution(_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE  )
         if collision_resolution is not None:
            self._set_value(_SCREAMING_SNAKE_CASE   ,							_SCREAMING_SNAKE_CASE  )
         else:
            self.rehashing()
            self.insert_data(_SCREAMING_SNAKE_CASE  )







"""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






