import math
class 				a_ :






 '''simple docstring'''






 def __init__(			self					:  Any			,    lowercase__					:  int			,    lowercase__					:  int			,    lowercase__					:  int			,    lowercase__					:  Optional[Any]):







        '''simple docstring'''



        lowerCAmelCase__     	=					x
        lowerCAmelCase__     	=					y
        lowerCAmelCase__     	=					step_size
        lowerCAmelCase__     	=					function_to_optimize




 def 		__snake_case						(			self					:  Union[str, Any]):







        '''simple docstring'''



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




 def 		__snake_case						(			self					:  Optional[Any]):







        '''simple docstring'''



        lowerCAmelCase__     	=					self.step_size
        return [
            SearchProblem(lowercase__			,    lowercase__			,    lowercase__			,    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[int]):







        '''simple docstring'''



        return hash(str(self))




 def __eq__(			self					:  Dict			,    lowercase__					:  Optional[int]):







        '''simple docstring'''



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




 def __str__(			self					:  Dict):







        '''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_0_0_0_0	,  ):
       lowerCAmelCase__     	=					search_prob
       lowerCAmelCase__     	=					[]  # list to store the current score at each iteration
       lowerCAmelCase__     	=					0
       lowerCAmelCase__     	=					False
       lowerCAmelCase__     	=					set()
       while not solution_found and iterations < max_iter:
              visited.add(lowerCAmelCase__	)
              iterations += 1
              lowerCAmelCase__     	=					current_state.score()
              scores.append(lowerCAmelCase__	)
              lowerCAmelCase__     	=					current_state.get_neighbors()
              lowerCAmelCase__     	=					-math.inf
              lowerCAmelCase__     	=					math.inf
              lowerCAmelCase__     	=					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
                     lowerCAmelCase__     	=					neighbor.score() - current_score
                     if find_max:  # finding max
                            # going to direction with greatest ascent
                            if change > max_change and change > 0:
                                   lowerCAmelCase__     	=					change
                                   lowerCAmelCase__     	=					neighbor
                     else:  # finding min
                            # to direction with greatest descent
                            if change < min_change and change < 0:
                                   lowerCAmelCase__     	=					change
                                   lowerCAmelCase__     	=					neighbor
              if next_state is not None:
                     # we found at least one neighbor which improved the current state
                     lowerCAmelCase__     	=					next_state
              else:
                     # since we have no neighbor that improves the solution we stop the search
                     lowerCAmelCase__     	=					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__	):
           return (x**2) + (y**2)

    # starting the problem with initial coordinates (3, 4)
    lowerCAmelCase__							= SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
    lowerCAmelCase__							= 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)
    lowerCAmelCase__							= SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
    lowerCAmelCase__							= hill_climbing(
        prob, find_max=False, max_x=100, 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__	):
           return (3 * x**2) - (6 * y)

    lowerCAmelCase__							= SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
    lowerCAmelCase__							= 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()}'
    )

from ..utils import DummyObject, requires_backends
class 				a_ (						metaclass=SCREAMING_SNAKE_CASE						):






 '''simple docstring'''






 UpperCAmelCase_	 =					['tensorflow_text']




 def __init__(			self					:  Tuple			,    *lowercase__					:  str			,    **lowercase__					:  Union[str, Any]):







        '''simple docstring'''



        requires_backends(self			,    ['tensorflow_text'])
