code: 
  
  
  
  
  """simple docstring"""
  
  
  
  
  import warnings
  from collections.abc import Callable
  from typing import Any
  
  import numpy
  from matplotlib import pyplot
  
  __A :		List[str]      							=    0.25 + 0.0j
  __A :		str      							=    -0.4 + 0.6j
  __A :		List[str]      							=    -0.1 + 0.651j
  __A :		Optional[Any]      							=    -2.0
  __A :		Tuple      							=    56
  __A :		Tuple      							=    2.0
  __A :		int      							=    666
  def 					A_			(		snake_case_     :       complex						,snake_case_     :       numpy.ndarray    ):
  
  
  
  
  
  
  
      '''simple docstring'''
      return numpy.exp(snake_case_    ) + c_parameter
  def 					A_			(		snake_case_     :       complex						,snake_case_     :       numpy.ndarray    ):
  
  
  
  
  
  
  
      '''simple docstring'''
      return z_values * z_values + c_parameter
  def 					A_			(		snake_case_     :       float						,snake_case_     :       int    ):
  
  
  
  
  
  
  
      '''simple docstring'''
      UpperCamelCase				:   Tuple          =							numpy.linspace(-window_size						,snake_case_						,snake_case_    )
      UpperCamelCase				:   Optional[Any]          =							x.reshape((nb_pixels, 1)    )
      UpperCamelCase				:   Any          =							numpy.linspace(-window_size						,snake_case_						,snake_case_    )
      UpperCamelCase				:   Tuple          =							y.reshape((1, nb_pixels)    )
      return x + 1.0J * y
  def 					A_			(		snake_case_     :       Callable[[Any, numpy.ndarray], numpy.ndarray]						,snake_case_     :       Any						,snake_case_     :       int						,snake_case_     :       numpy.ndarray						,snake_case_     :       float | None = None						,):
  
  
  
  
  
  
  
      '''simple docstring'''
      UpperCamelCase				:   Union[str, Any]          =							z_a.astype("""complex64"""    )
      for _ in range(snake_case_    ):
          UpperCamelCase				:   str          =							eval_function(snake_case_						,snake_case_    )
          if infinity is not None:
              numpy.nan_to_num(snake_case_						,copy=snake_case_						,nan=snake_case_    )
              UpperCamelCase				:   Optional[Any]          =							infinity
      return z_n
  def 					A_			(		snake_case_     :       str						,snake_case_     :       Any						,snake_case_     :       float						,snake_case_     :       numpy.ndarray						,):
  
  
  
  
  
  
  
      '''simple docstring'''
      UpperCamelCase				:   str          =							(abs(snake_case_    )).transpose()
      UpperCamelCase				:   int          =							abs_z_final[::-1, :]
      pyplot.matshow(abs_z_final < escape_radius    )
      pyplot.title(f'Julia set of ${function_label}$, $c={function_params}$'    )
      pyplot.show()
  def 					A_			(		):
  
  
  
  
  
  
  
      '''simple docstring'''
      warnings.filterwarnings(
          """ignore"""						,category=snake_case_						,message="""overflow encountered in multiply"""    )
      warnings.filterwarnings(
          """ignore"""						,category=snake_case_						,message="""invalid value encountered in multiply"""						,)
      warnings.filterwarnings(
          """ignore"""						,category=snake_case_						,message="""overflow encountered in absolute"""    )
      warnings.filterwarnings(
          """ignore"""						,category=snake_case_						,message="""overflow encountered in exp"""    )
  
  
  if __name__ == "__main__":
    __A :		Union[str, Any]      							=    prepare_grid(window_size, nb_pixels)
  
    ignore_overflow_warnings()  # See file header for explanations
  
    __A :		Optional[int]      							=    24
    __A :		Union[str, Any]      							=    2 * abs(c_cauliflower) + 1
    __A :		Tuple      							=    iterate_function(
        eval_quadratic_polynomial,
        c_cauliflower,
        nb_iterations,
        z_a,
        infinity=1.1 * escape_radius,
    )
    show_results('''z^2+c''', c_cauliflower, escape_radius, z_final)
  
    __A :		Optional[int]      							=    64
    __A :		str      							=    2 * abs(c_polynomial_a) + 1
    __A :		str      							=    iterate_function(
        eval_quadratic_polynomial,
        c_polynomial_a,
        nb_iterations,
        z_a,
        infinity=1.1 * escape_radius,
    )
    show_results('''z^2+c''', c_polynomial_a, escape_radius, z_final)
  
    __A :		Union[str, Any]      							=    161
    __A :		Optional[int]      							=    2 * abs(c_polynomial_a) + 1
    __A :		Optional[Any]      							=    iterate_function(
        eval_quadratic_polynomial,
        c_polynomial_a,
        nb_iterations,
        z_a,
        infinity=1.1 * escape_radius,
    )
    show_results('''z^2+c''', c_polynomial_a, escape_radius, z_final)
  
    __A :		str      							=    12
    __A :		Tuple      							=    10000.0
    __A :		List[Any]      							=    iterate_function(
        eval_exponential,
        c_exponential,
        nb_iterations,
        z_a + 2,
        infinity=1.0e1_0,
    )
    show_results('''e^z+c''', c_exponential, escape_radius, z_final)
  
  
  
  
  
  
  
style_context: 
  
  
  
  
  """simple docstring"""
  
  
  
  
  class 							lowerCamelCase		:
  
  
  
  
  
  
  
     def __init__(							self    ,      SCREAMING_SNAKE_CASE_=None ):
         UpperCamelCase				:   Optional[Any]          =							data
         UpperCamelCase				:   str          =							None
  
  
  
  
  
  
  
     def __repr__(							self ):
         UpperCamelCase				:   str          =							""""""
         UpperCamelCase				:   Any          =							self
         while temp:
             string_rep += f'<{temp.data}> ---> '
             UpperCamelCase				:   Optional[int]          =							temp.next
         string_rep += "<END>"
         return string_rep
  
  
  
  
  
  
  
  def 					A_			(		snake_case_     :       Tuple    ):
  
  
  
  
  
  
  
      '''simple docstring'''
  
      # if elements_list is empty
      if not elements_list:
          raise Exception("""The Elements List is empty"""    )
  
      # Set first element as Head
      UpperCamelCase				:   List[Any]          =							Node(elements_list[0]    )
      UpperCamelCase				:   str          =							head
      # Loop through elements from position 1
      for data in elements_list[1:]:
          UpperCamelCase				:   Optional[int]          =							Node(snake_case_    )
          UpperCamelCase				:   Optional[Any]          =							current.next
      return head
  
  
  __A :		List[Any]      							=    [1, 3, 5, 32, 44, 12, 43]
  print(F'''List: {list_data}''')
  print('''Creating Linked List from List.''')
  __A :		int      							=    make_linked_list(list_data)
  print('''Linked List:''')
  
  
  print(linked_list)
  
  
  
  
  