
"""simple docstring"""







import math



class 		UpperCAmelCase_	:
 """simple docstring"""




 def __init__( self       : int     ,   a_       : int     ,   a_       : int     ,   a_       : int     ,   a_       : Optional[int] )->					Optional[int]:



      """simple docstring"""

      UpperCAmelCase_						:    Optional[int]    					=  x
      UpperCAmelCase_						:    Union[str, Any]    					=  y
      UpperCAmelCase_						:    Union[str, Any]    					=  step_size
      UpperCAmelCase_						:    str    					=  function_to_optimize




 def   a      ( self       : Dict )->					int:



      """simple docstring"""

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




 def   a      ( self       : Any )->					Optional[Any]:



      """simple docstring"""

      UpperCAmelCase_						:    int    					=  self.step_size
      return [
          SearchProblem(a_     ,   a_     ,   a_     ,   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       : str )->					Optional[int]:



      """simple docstring"""

      return hash(str(self ) )




 def __eq__( self       : Optional[int]     ,   a_       : Any )->					Optional[Any]:



      """simple docstring"""

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






 def __str__( self       : List[Any] )->					Optional[Any]:



      """simple docstring"""

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




def 			A_			(					lowercase						, lowercase = True						, lowercase = math.inf						, lowercase = -math.inf						, lowercase = math.inf						, lowercase = -math.inf						, lowercase = False						, lowercase = 1_0000						, )     ->							SearchProblem:


     """simple docstring"""







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

     if visualization:
          from matplotlib import pyplot as plt

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

     return current_state


if __name__ == "__main__":
       import doctest

       doctest.testmod()




       def 			A_			(					lowercase						, lowercase      )     ->							List[Any]:


            """simple docstring"""







            return (x**2) + (y**2)

       # starting the problem with initial coordinates (3, 4)
       lowercase_						    =					SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
       lowercase_						    =					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_						    =					SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
       lowercase_						    =					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 			A_			(					lowercase						, lowercase      )     ->							Optional[Any]:


            """simple docstring"""







            return (3 * x**2) - (6 * y)

       lowercase_						    =					SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
       lowercase_						    =					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"""







import warnings

from .generation import GenerationMixin



class 		UpperCAmelCase_	(lowerCamelCase_						):
 """simple docstring"""




 warnings.warn(
     """Importing `GenerationMixin` from `src/transformers/generation_utils.py` is deprecated and will """
     """be removed in Transformers v5. Import as `from transformers import GenerationMixin` instead."""  , lowerCamelCase_  , )

