


import warnings
from collections.abc import Callable
from typing import Any

import numpy
from matplotlib import pyplot

A :       Any						=   0.2_5 + 0.0J
A :       List[Any]						=   -0.4 + 0.6J
A :       Union[str, Any]						=   -0.1 + 0.651J
A :       List[str]						=   -2.0
A :       Optional[Any]						=   56
A :       Any						=   2.0
A :       Optional[int]						=   666

def  lowercase_						(						_A     :       complex       ,   _A     :       numpy.ndarray		):

      """simple docstring"""




      return numpy.exp(_A		) + c_parameter

def  lowercase_						(						_A     :       complex       ,   _A     :       numpy.ndarray		):

      """simple docstring"""




      return z_values * z_values + c_parameter

def  lowercase_						(						_A     :       float       ,   _A     :       int		):

      """simple docstring"""




      lowerCamelCase__						:							Optional[int]       =    numpy.linspace(-window_size       ,   _A       ,   _A		)
      lowerCamelCase__						:							int       =    x.reshape((nb_pixels, 1)		)
      lowerCamelCase__						:							Any       =    numpy.linspace(-window_size       ,   _A       ,   _A		)
      lowerCamelCase__						:							Any       =    y.reshape((1, nb_pixels)		)
      return x + 1.0J * y

def  lowercase_						(						_A     :       Callable[[Any, numpy.ndarray], numpy.ndarray]       ,   _A     :       Any       ,   _A     :       int       ,   _A     :       numpy.ndarray       ,   _A     :       float | None = None       ,   ):

      """simple docstring"""




      lowerCamelCase__						:							str       =    z_a.astype("complex64"		)
      for _ in range(_A		):
            lowerCamelCase__						:							int       =    eval_function(_A       ,   _A		)
            if infinity is not None:
                  numpy.nan_to_num(_A       ,   copy=_A       ,   nan=_A		)
                  lowerCamelCase__						:							Optional[Any]       =    infinity
      return z_n

def  lowercase_						(						_A     :       str       ,   _A     :       Any       ,   _A     :       float       ,   _A     :       numpy.ndarray       ,   ):

      """simple docstring"""




      lowerCamelCase__						:							Optional[Any]       =    (abs(_A		)).transpose()
      lowerCamelCase__						:							Tuple       =    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  lowercase_						(						):

      """simple docstring"""




      warnings.filterwarnings(
          "ignore"       ,   category=_A       ,   message="overflow encountered in multiply"		)
      warnings.filterwarnings(
          "ignore"       ,   category=_A       ,   message="invalid value encountered in multiply"       ,   )
      warnings.filterwarnings(
          "ignore"       ,   category=_A       ,   message="overflow encountered in absolute"		)
      warnings.filterwarnings(
          "ignore"       ,   category=_A       ,   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 :       str						=   24
    A :       Dict						=   2 * abs(c_cauliflower) + 1
    A :       str						=   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 :       Tuple						=   64
    A :       str						=   2 * abs(c_polynomial_a) + 1
    A :       List[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						=   161
    A :       List[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 :       Tuple						=   12
    A :       Tuple						=   1_0_0_0_0.0
    A :       str						=   iterate_function(
        eval_exponential,
        c_exponential,
        nb_iterations,
        z_a + 2,
        infinity=1.0E10,
    )
    show_results("e^z+c", c_exponential, escape_radius, z_final)






def  lowercase_						(						_A     :       Dict		):

      """simple docstring"""




      lowerCamelCase__						:							Optional[Any]       =    len(_A		)
      for _ in range(
          0       ,   int(((no_of_elements - 1) / 2) + 1		)		):  # we don't need to traverse to end of list as
            for j in range(0       ,   no_of_elements - 1		):
                  if (
                      lst[j + 1] < lst[j]
                  ):  # applying bubble sort algorithm from left to right (or forwards)
                        lowerCamelCase__						:							Tuple       =    lst[j + 1]
                        lowerCamelCase__						:							Optional[Any]       =    lst[j]
                        lowerCamelCase__						:							Optional[Any]       =    temp
                  if (
                      lst[no_of_elements - 1 - j] < lst[no_of_elements - 2 - j]
                  ):  # applying bubble sort algorithm from right to left (or backwards)
                        lowerCamelCase__						:							Any       =    lst[no_of_elements - 1 - j]
                        lowerCamelCase__						:							List[str]       =    lst[no_of_elements - 2 - j]
                        lowerCamelCase__						:							str       =    temp
      return lst


if __name__ == "__main__":
    print("enter the list to be sorted")
    A :       Optional[int]						=   [int(x) for x in input().split()]  # inputing elements of the list in one line
    A :       Optional[Any]						=   double_sort(lst)
    print("the sorted list is")
    print(sorted_lst)


