

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

import numpy
from matplotlib import pyplot

snake_case_    						=				0.25 + 0.0j
snake_case_    						=				-0.4 + 0.6j
snake_case_    						=				-0.1 + 0.6_5_1j
snake_case_    						=				-2.0
snake_case_    						=				56
snake_case_    						=				2.0
snake_case_    						=				666

def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					complex			,  SCREAMING_SNAKE_CASE_	:					numpy.ndarray    ):



     '''simple docstring'''





     return numpy.exp(SCREAMING_SNAKE_CASE_    ) + c_parameter

def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					complex			,  SCREAMING_SNAKE_CASE_	:					numpy.ndarray    ):



     '''simple docstring'''





     return z_values * z_values + c_parameter

def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					float			,  SCREAMING_SNAKE_CASE_	:					int    ):



     '''simple docstring'''





     lowercase__					:     List[Any]   = numpy.linspace(-window_size			,  SCREAMING_SNAKE_CASE_			,  SCREAMING_SNAKE_CASE_    )
     lowercase__					:     Any   = x.reshape((nb_pixels, 1)    )
     lowercase__					:     List[str]   = numpy.linspace(-window_size			,  SCREAMING_SNAKE_CASE_			,  SCREAMING_SNAKE_CASE_    )
     lowercase__					:     int   = y.reshape((1, nb_pixels)    )
     return x + 1.0J * y

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



     '''simple docstring'''





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

def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					str			,  SCREAMING_SNAKE_CASE_	:					Any			,  SCREAMING_SNAKE_CASE_	:					float			,  SCREAMING_SNAKE_CASE_	:					numpy.ndarray			,  ):



     '''simple docstring'''





     lowercase__					:     List[Any]   = (abs(SCREAMING_SNAKE_CASE_    )).transpose()
     lowercase__					:     Dict   = 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 			snake_case__    (					):



     '''simple docstring'''





     warnings.filterwarnings(
         'ignore'			,  category=SCREAMING_SNAKE_CASE_			,  message='overflow encountered in multiply'    )
     warnings.filterwarnings(
         'ignore'			,  category=SCREAMING_SNAKE_CASE_			,  message='invalid value encountered in multiply'			,  )
     warnings.filterwarnings(
         'ignore'			,  category=SCREAMING_SNAKE_CASE_			,  message='overflow encountered in absolute'    )
     warnings.filterwarnings(
         'ignore'			,  category=SCREAMING_SNAKE_CASE_			,  message='overflow encountered in exp'    )


if __name__ == "__main__":
       snake_case_    						=				prepare_grid(window_size, nb_pixels)

       ignore_overflow_warnings()  # See file header for explanations

       snake_case_    						=				24
       snake_case_    						=				2 * abs(c_cauliflower) + 1
       snake_case_    						=				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)

       snake_case_    						=				64
       snake_case_    						=				2 * abs(c_polynomial_a) + 1
       snake_case_    						=				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)

       snake_case_    						=				161
       snake_case_    						=				2 * abs(c_polynomial_a) + 1
       snake_case_    						=				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)

       snake_case_    						=				12
       snake_case_    						=				1_0000.0
       snake_case_    						=				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)




from __future__ import annotations


class    SCREAMING_SNAKE_CASE__      :





    def __init__(   self		,     a = 0):
         lowercase__					:     int   = value
         lowercase__					:     Node | None   = None
         lowercase__					:     Node | None   = None



def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					Node | None			,  SCREAMING_SNAKE_CASE_	:					Node | None    ):



     '''simple docstring'''





     if treea is None:
          return treea
     if treea is None:
          return treea

     lowercase__					:     Optional[Any]   = treea.value + treea.value
     lowercase__					:     Union[str, Any]   = merge_two_binary_trees(treea.left			,  treea.left    )
     lowercase__					:     Optional[Any]   = merge_two_binary_trees(treea.right			,  treea.right    )
     return treea

def 			snake_case__    (					SCREAMING_SNAKE_CASE_	:					Node | None    ):



     '''simple docstring'''





     if root:
          print(root.value    )
          print_preorder(root.left    )
          print_preorder(root.right    )


if __name__ == "__main__":
       snake_case_    						=				Node(1)
       snake_case_    						=				Node(2)
       snake_case_    						=				Node(3)
       snake_case_    						=				Node(4)

       snake_case_    						=				Node(2)
       snake_case_    						=				Node(4)
       snake_case_    						=				Node(6)
       snake_case_    						=				Node(9)
       snake_case_    						=				Node(5)

       print('''Tree1 is: ''')
       print_preorder(treea)
       print('''Tree2 is: ''')
       print_preorder(treea)
       snake_case_    						=				merge_two_binary_trees(treea, treea)
       print('''Merged Tree is: ''')
       print_preorder(merged_tree)

