
"""simple docstring"""
import math




class  _snake_case	:






							def __init__(       self    :      Any    ,			snake_case__    :      int    ,			snake_case__    :      int    ,			snake_case__    :      int    ,			snake_case__    :      Union[str, Any]     ):






												"""simple docstring"""



												__a:    int		     =       x
												__a:    str		     =       y
												__a:    List[Any]		     =       step_size
												__a:    Any		     =       function_to_optimize






							def 				__lowercase	(       self    :      str     ):






												"""simple docstring"""



												return self.function(self.x    ,			self.y     )






							def 				__lowercase	(       self    :      List[str]     ):






												"""simple docstring"""



												__a:    Optional[int]		     =       self.step_size
												return [
												    SearchProblem(snake_case__    ,			snake_case__    ,			snake_case__    ,			self.function     )
												    for x, y in (
												        (self.x - step_size, self.y - step_size),
												        (self.x - step_size, self.y),
												        (self.x - step_size, self.y + step_size),
												        (self.x, self.y - step_size),
												        (self.x, self.y + step_size),
												        (self.x + step_size, self.y - step_size),
												        (self.x + step_size, self.y),
												        (self.x + step_size, self.y + step_size),
												    )
												]






							def __hash__(       self    :      Optional[Any]     ):






												"""simple docstring"""



												return hash(str(self     )     )






							def __eq__(       self    :      List[Any]    ,			snake_case__    :      int     ):






												"""simple docstring"""



												if isinstance(snake_case__    ,			snake_case__     ):
																	return hash(str(self     )     ) == hash(str(snake_case__     )     )
												return False






							def __str__(       self    :      Optional[Any]     ):






												"""simple docstring"""



												return f"""x: {self.x} y: {self.y}"""






def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = True						,					lowerCamelCase_ = math.inf						,					lowerCamelCase_ = -math.inf						,					lowerCamelCase_ = math.inf						,					lowerCamelCase_ = -math.inf						,					lowerCamelCase_ = False						,					lowerCamelCase_ = 1_00_00						,					)  ->      SearchProblem:


					'''simple docstring'''
					__a:    str		     =       search_prob
					__a:    Tuple		     =       []  # list to store the current score at each iteration
					__a:    int		     =       0
					__a:    Optional[int]		     =       False
					__a:    int		     =       set()
					while not solution_found and iterations < max_iter:
										visited.add(lowerCamelCase_			)
										iterations += 1
										__a:    Any		     =       current_state.score()
										scores.append(lowerCamelCase_			)
										__a:    int		     =       current_state.get_neighbors()
										__a:    Dict		     =       -math.inf
										__a:    Optional[int]		     =       math.inf
										__a:    Optional[int]		     =       None  # to hold the next best neighbor
										for neighbor in neighbors:
															if neighbor in visited:
																				continue  # do not want to visit the same state again
															if (
															    neighbor.x > max_x
															    or neighbor.x < min_x
															    or neighbor.y > max_y
															    or neighbor.y < min_y
															):
																				continue  # neighbor outside our bounds
															__a:    Any		     =       neighbor.score() - current_score
															if find_max:  # finding max
																				# going to direction with greatest ascent
																				if change > max_change and change > 0:
																									__a:    Optional[Any]		     =       change
																									__a:    Optional[int]		     =       neighbor
															else:  # finding min
																				# to direction with greatest descent
																				if change < min_change and change < 0:
																									__a:    Any		     =       change
																									__a:    Optional[int]		     =       neighbor
										if next_state is not None:
															# we found at least one neighbor which improved the current state
															__a:    List[Any]		     =       next_state
										else:
															# since we have no neighbor that improves the solution we stop the search
															__a:    List[str]		     =       True

					if visualization:
										from matplotlib import pyplot as plt

										plt.plot(range(lowerCamelCase_			)						,					lowerCamelCase_			)
										plt.xlabel("""Iterations"""			)
										plt.ylabel("""Function values"""			)
										plt.show()

					return current_state


if __name__ == "__main__":
			import doctest

			doctest.testmod()


			def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_			)  ->      Any:


								'''simple docstring'''
								return (x**2) + (y**2)

			# starting the problem with initial coordinates (3, 4)
			lowercase		:    List[str]			=       SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
			lowercase		:    Union[str, Any]			=       hill_climbing(prob, find_max=False)
			print(
			    'The minimum score for f(x, y) = x^2 + y^2 found via hill climbing: '
			    F"{local_min.score()}"
			)

			# starting the problem with initial coordinates (12, 47)
			lowercase		:    Union[str, Any]			=       SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
			lowercase		:    Tuple			=       hill_climbing(
			    prob, find_max=False, max_x=1_00, min_x=5, max_y=50, min_y=-5, visualization=True
			)
			print(
			    'The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '
			    F"and 50 > y > - 5 found via hill climbing: {local_min.score()}"
			)


			def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_			)  ->      List[str]:


								'''simple docstring'''
								return (3 * x**2) - (6 * y)

			lowercase		:    Union[str, Any]			=       SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
			lowercase		:    str			=       hill_climbing(prob, find_max=True)




			print(
			    'The maximum score for f(x, y) = x^2 + y^2 found via hill climbing: '
			    F"{local_min.score()}"
			)


"""simple docstring"""
from transformers import ProcessorMixin




class  _snake_case	(    _lowercase							):
							SCREAMING_SNAKE_CASE		  =    '''AutoFeatureExtractor'''
							SCREAMING_SNAKE_CASE		  =    '''AutoTokenizer'''
