



'''simple docstring'''






import math



class 				lowercase			:


 """simple docstring"""


 def __init__(				self    ,a_    ,a_    ,a_    ,a_				)						->  Tuple:
        _UpperCAmelCase    :		int     	=					x
        _UpperCAmelCase    :		str     	=					y
        _UpperCAmelCase    :		List[Any]     	=					step_size
        _UpperCAmelCase    :		Any     	=					function_to_optimize







 def _snake_case					(				self				)						->  Optional[int]:
        return self.function(self.x    ,self.y				)







 def _snake_case					(				self				)						->  str:
        _UpperCAmelCase    :		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				)						->  List[Any]:
        return hash(str(self				)				)







 def __eq__(				self    ,a_				)						->  Tuple:



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







 def __str__(				self				)						->  str:
        return f'''x: {self.x} y: {self.y}'''







def        snake_case_   (	lowerCAmelCase_			,  lowerCAmelCase_ = True			,  lowerCAmelCase_ = math.inf			,  lowerCAmelCase_ = -math.inf			,  lowerCAmelCase_ = math.inf			,  lowerCAmelCase_ = -math.inf			,  lowerCAmelCase_ = False			,  lowerCAmelCase_ = 10000			,  )->						SearchProblem:





       '''simple docstring'''


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





          '''simple docstring'''


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

   # starting the problem with initial coordinates (3, 4)
   A_				:					List[str]							=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   A_				:					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)
   A_				:					Union[str, Any]							=      SearchProblem(x=1_2, y=4_7, step_size=1, function_to_optimize=test_fa)
   A_				:					Tuple							=      hill_climbing(
       prob, find_max=False, max_x=1_0_0, min_x=5, max_y=5_0, 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        snake_case_   (	lowerCAmelCase_			,  lowerCAmelCase_						)->						List[str]:





          '''simple docstring'''


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

   A_				:					Union[str, Any]							=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   A_				:					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"""
import unittest

from transformers import BlenderbotTokenizer, BlenderbotTokenizerFast
from transformers.utils import cached_property




class  _snake_case	(    unittest.TestCase							):






							@cached_property
							def 				__lowercase	(       self    :      str     ):






												"""simple docstring"""



												return BlenderbotTokenizer.from_pretrained("""facebook/blenderbot-3B"""     )






							@cached_property
							def 				__lowercase	(       self    :      str     ):






												"""simple docstring"""



												return BlenderbotTokenizerFast.from_pretrained("""facebook/blenderbot-3B"""     )






							def 				__lowercase	(       self    :      int     ):






												"""simple docstring"""



												__a:    Optional[int]		     =       self.tokenizer_ab
												__a:    Union[str, Any]		     =       """ I am a small frog."""
												__a:    str		     =       tok([src_text]    ,			padding=snake_case__    ,			truncation=snake_case__     )["""input_ids"""]
												__a:    Optional[Any]		     =       tok.batch_decode(snake_case__    ,			skip_special_tokens=snake_case__    ,			clean_up_tokenization_spaces=snake_case__     )[0]
												assert src_text == decoded






							def 				__lowercase	(       self    :      List[Any]     ):






												"""simple docstring"""



												__a:    str		     =       self.rust_tokenizer_ab
												__a:    Optional[Any]		     =       """ I am a small frog."""
												__a:    str		     =       tok([src_text]    ,			padding=snake_case__    ,			truncation=snake_case__     )["""input_ids"""]
												__a:    Union[str, Any]		     =       tok.batch_decode(snake_case__    ,			skip_special_tokens=snake_case__    ,			clean_up_tokenization_spaces=snake_case__     )[0]
												assert src_text == decoded






							def 				__lowercase	(       self    :      List[str]     ):






												"""simple docstring"""



												assert self.tokenizer_ab.add_prefix_space
												assert self.tokenizer_ab([""" Sam""", """Sam"""]     ).input_ids == [[5_5_0_2, 2], [5_5_0_2, 2]]






							def 				__lowercase	(       self    :      Any     ):






												"""simple docstring"""



												assert self.rust_tokenizer_ab.add_prefix_space
												assert self.rust_tokenizer_ab([""" Sam""", """Sam"""]     ).input_ids == [[5_5_0_2, 2], [5_5_0_2, 2]]
