

"""simple docstring"""




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

import numpy
from matplotlib import pyplot

A_							:     str     =	0.25 + 0.0j
A_							:     int     =	-0.4 + 0.6j
A_							:     Tuple     =	-0.1 + 0.651j
A_							:     Dict     =	-2.0
A_							:     Tuple     =	56
A_							:     int     =	2.0
A_							:     Any     =	666

def 		A    (       snake_case__						,			snake_case__      ):




			'''simple docstring'''


			return numpy.exp(snake_case__      ) + c_parameter

def 		A    (       snake_case__						,			snake_case__      ):




			'''simple docstring'''


			return z_values * z_values + c_parameter

def 		A    (       snake_case__						,			snake_case__      ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= numpy.linspace(-window_size						,			snake_case__						,			snake_case__      )
			SCREAMING_SNAKE_CASE__									= x.reshape((nb_pixels, 1)      )
			SCREAMING_SNAKE_CASE__									= numpy.linspace(-window_size						,			snake_case__						,			snake_case__      )
			SCREAMING_SNAKE_CASE__									= y.reshape((1, nb_pixels)      )
			return x + 1.0j * y

def 		A    (       snake_case__						,			snake_case__						,			snake_case__						,			snake_case__						,			snake_case__ = None						,			):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= z_a.astype("""complex64"""      )
			for _ in range(snake_case__      ):
						SCREAMING_SNAKE_CASE__									= eval_function(snake_case__						,			snake_case__      )
						if infinity is not None:
									numpy.nan_to_num(snake_case__						,			copy=snake_case__						,			nan=snake_case__      )
									SCREAMING_SNAKE_CASE__									= infinity
			return z_n

def 		A    (       snake_case__						,			snake_case__						,			snake_case__						,			snake_case__						,			):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= (abs(snake_case__      )).transpose()
			SCREAMING_SNAKE_CASE__									= 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_							:     str     =	prepare_grid(window_size, nb_pixels)

						ignore_overflow_warnings()  # See file header for explanations

						A_							:     Union[str, Any]     =	24
						A_							:     str     =	2 * abs(c_cauliflower) + 1
						A_							:     Optional[int]     =	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_							:     Any     =	64
						A_							:     Tuple     =	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     =	161
						A_							:     Union[str, Any]     =	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_							:     Union[str, Any]     =	12
						A_							:     Union[str, Any]     =	1_00_00.0
						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)





"""simple docstring"""




def 		A    (       snake_case__						,			snake_case__						,			snake_case__						,			snake_case__      ):




			'''simple docstring'''


			if start == end:
						return start if lst[start] > item else start + 1
			if start > end:
						return start

			SCREAMING_SNAKE_CASE__									= (start + end) // 2
			if lst[mid] < item:
						return binary_search(snake_case__						,			snake_case__						,			mid + 1						,			snake_case__      )
			elif lst[mid] > item:
						return binary_search(snake_case__						,			snake_case__						,			snake_case__						,			mid - 1      )
			else:
						return mid

def 		A    (       snake_case__      ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= len(snake_case__      )

			for index in range(1						,			snake_case__      ):
						SCREAMING_SNAKE_CASE__									= lst[index]
						SCREAMING_SNAKE_CASE__									= binary_search(snake_case__						,			snake_case__						,			0						,			index - 1      )
						SCREAMING_SNAKE_CASE__									= lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

			return lst

def 		A    (       snake_case__						,			snake_case__      ):




			'''simple docstring'''


			if not left:
						return right

			if not right:
						return left

			if left[0] < right[0]:
						return [left[0], *merge(left[1:]						,			snake_case__      )]

			return [right[0], *merge(snake_case__						,			right[1:]      )]

def 		A    (       snake_case__      ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= len(snake_case__      )
			SCREAMING_SNAKE_CASE__							,						SCREAMING_SNAKE_CASE__									= [], []
			SCREAMING_SNAKE_CASE__									= [lst[0]]
			SCREAMING_SNAKE_CASE__									= []
			SCREAMING_SNAKE_CASE__									= 1
			while i < length:
						if lst[i] < lst[i - 1]:
									runs.append(snake_case__      )
									SCREAMING_SNAKE_CASE__									= [lst[i]]
						else:
									new_run.append(lst[i]      )
						i += 1
			runs.append(snake_case__      )

			for run in runs:
						sorted_runs.append(insertion_sort(snake_case__      )      )
			for run in sorted_runs:
						SCREAMING_SNAKE_CASE__									= merge(snake_case__						,			snake_case__      )

			return sorted_array

def 		A    (       ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__									= [5, 9, 10, 3, -4, 5, 1_78, 92, 46, -18, 0, 7]
			SCREAMING_SNAKE_CASE__									= tim_sort(snake_case__      )
			print(snake_case__      )


if __name__ == "__main__":
						main()


