




import math


class  lowerCamelCase     :






			'''simple docstring'''





			def __init__(			self      : Dict							,    lowerCamelCase_      : int							,    lowerCamelCase_      : int							,    lowerCamelCase_      : int							,    lowerCamelCase_      : Union[str, Any]	)    -> Optional[Any]:
								__magic_name__				:						Union[str, Any]     				=				x
								__magic_name__				:						Optional[int]     				=				y
								__magic_name__				:						List[str]     				=				step_size
								__magic_name__				:						Union[str, Any]     				=				function_to_optimize

			def 				UpperCAmelCase__							(			self      : int	)    -> int:
								return self.function(self.x							,    self.y	)

			def 				UpperCAmelCase__							(			self      : Dict	)    -> Any:
								__magic_name__				:						Optional[int]     				=				self.step_size
								return [
								    SearchProblem(lowerCamelCase_							,    lowerCamelCase_							,    lowerCamelCase_							,    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      : Dict	)    -> Tuple:
								return hash(str(self	)	)

			def __eq__(			self      : List[str]							,    lowerCamelCase_      : Dict	)    -> Union[str, Any]:
								if isinstance(lowerCamelCase_							,    lowerCamelCase_	):
													return hash(str(self	)	) == hash(str(lowerCamelCase_	)	)
								return False


			def __str__(			self      : Tuple	)    -> Tuple:
								return F'''x: {self.x} y: {self.y}'''







def 		lowercase__ (		__A:						int				,__A:						bool = True				,__A:						float = math.inf				,__A:						float = -math.inf				,__A:						float = math.inf				,__A:						float = -math.inf				,__A:						bool = False				,__A:						int = 1_0_0_0_0				,):





					'''simple docstring'''






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

					if visualization:
										from matplotlib import pyplot as plt

										plt.plot(range(__A					)				,__A					)
										plt.xlabel('''Iterations'''					)
										plt.ylabel('''Function values'''					)
										plt.show()

					return current_state


if __name__ == "__main__":
	import doctest

	doctest.testmod()







	def 		lowercase__ (		__A:						Optional[Any]				,__A:						str					):





						'''simple docstring'''






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

	# starting the problem with initial coordinates (3, 4)
	__lowerCamelCase :    Any      						=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	__lowerCamelCase :    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)
	__lowerCamelCase :    Optional[int]      						=      SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
	__lowerCamelCase :    Union[str, Any]      						=      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 		lowercase__ (		__A:						List[Any]				,__A:						int					):





						'''simple docstring'''






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

	__lowerCamelCase :    List[str]      						=      SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
	__lowerCamelCase :    Optional[int]      						=      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 typing import TYPE_CHECKING

from ..utils import OptionalDependencyNotAvailable, _LazyModule, is_flax_available, is_tf_available, is_torch_available


__lowerCamelCase :    Tuple      						=      {
    '''configuration_utils''': ['''GenerationConfig'''],
    '''streamers''': ['''TextIteratorStreamer''', '''TextStreamer'''],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__lowerCamelCase :    Any      						=      [
	    '''Constraint''',
	    '''ConstraintListState''',
	    '''DisjunctiveConstraint''',
	    '''PhrasalConstraint''',
	]
	__lowerCamelCase :    int      						=      [
	    '''BeamHypotheses''',
	    '''BeamScorer''',
	    '''BeamSearchScorer''',
	    '''ConstrainedBeamSearchScorer''',
	]
	__lowerCamelCase :    Union[str, Any]      						=      [
	    '''EpsilonLogitsWarper''',
	    '''EtaLogitsWarper''',
	    '''ForcedBOSTokenLogitsProcessor''',
	    '''ForcedEOSTokenLogitsProcessor''',
	    '''HammingDiversityLogitsProcessor''',
	    '''InfNanRemoveLogitsProcessor''',
	    '''LogitsProcessor''',
	    '''LogitsProcessorList''',
	    '''LogitsWarper''',
	    '''MinLengthLogitsProcessor''',
	    '''MinNewTokensLengthLogitsProcessor''',
	    '''NoBadWordsLogitsProcessor''',
	    '''NoRepeatNGramLogitsProcessor''',
	    '''PrefixConstrainedLogitsProcessor''',
	    '''RepetitionPenaltyLogitsProcessor''',
	    '''SequenceBiasLogitsProcessor''',
	    '''EncoderRepetitionPenaltyLogitsProcessor''',
	    '''TemperatureLogitsWarper''',
	    '''TopKLogitsWarper''',
	    '''TopPLogitsWarper''',
	    '''TypicalLogitsWarper''',
	    '''EncoderNoRepeatNGramLogitsProcessor''',
	    '''ExponentialDecayLengthPenalty''',
	    '''LogitNormalization''',
	]
	__lowerCamelCase :    Union[str, Any]      						=      [
	    '''MaxNewTokensCriteria''',
	    '''MaxLengthCriteria''',
	    '''MaxTimeCriteria''',
	    '''StoppingCriteria''',
	    '''StoppingCriteriaList''',
	    '''validate_stopping_criteria''',
	]
	__lowerCamelCase :    Union[str, Any]      						=      [
	    '''GenerationMixin''',
	    '''top_k_top_p_filtering''',
	    '''GreedySearchEncoderDecoderOutput''',
	    '''GreedySearchDecoderOnlyOutput''',
	    '''SampleEncoderDecoderOutput''',
	    '''SampleDecoderOnlyOutput''',
	    '''BeamSearchEncoderDecoderOutput''',
	    '''BeamSearchDecoderOnlyOutput''',
	    '''BeamSampleEncoderDecoderOutput''',
	    '''BeamSampleDecoderOnlyOutput''',
	    '''ContrastiveSearchEncoderDecoderOutput''',
	    '''ContrastiveSearchDecoderOnlyOutput''',
	]

try:
	if not is_tf_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__lowerCamelCase :    Tuple      						=      [
	    '''TFForcedBOSTokenLogitsProcessor''',
	    '''TFForcedEOSTokenLogitsProcessor''',
	    '''TFLogitsProcessor''',
	    '''TFLogitsProcessorList''',
	    '''TFLogitsWarper''',
	    '''TFMinLengthLogitsProcessor''',
	    '''TFNoBadWordsLogitsProcessor''',
	    '''TFNoRepeatNGramLogitsProcessor''',
	    '''TFRepetitionPenaltyLogitsProcessor''',
	    '''TFTemperatureLogitsWarper''',
	    '''TFTopKLogitsWarper''',
	    '''TFTopPLogitsWarper''',
	    '''TFForceTokensLogitsProcessor''',
	    '''TFSuppressTokensAtBeginLogitsProcessor''',
	    '''TFSuppressTokensLogitsProcessor''',
	]
	__lowerCamelCase :    Any      						=      [
	    '''TFGenerationMixin''',
	    '''tf_top_k_top_p_filtering''',
	    '''TFGreedySearchDecoderOnlyOutput''',
	    '''TFGreedySearchEncoderDecoderOutput''',
	    '''TFSampleEncoderDecoderOutput''',
	    '''TFSampleDecoderOnlyOutput''',
	    '''TFBeamSearchEncoderDecoderOutput''',
	    '''TFBeamSearchDecoderOnlyOutput''',
	    '''TFBeamSampleEncoderDecoderOutput''',
	    '''TFBeamSampleDecoderOnlyOutput''',
	    '''TFContrastiveSearchEncoderDecoderOutput''',
	    '''TFContrastiveSearchDecoderOnlyOutput''',
	]

try:
	if not is_flax_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__lowerCamelCase :    Optional[int]      						=      [
	    '''FlaxForcedBOSTokenLogitsProcessor''',
	    '''FlaxForcedEOSTokenLogitsProcessor''',
	    '''FlaxLogitsProcessor''',
	    '''FlaxLogitsProcessorList''',
	    '''FlaxLogitsWarper''',
	    '''FlaxMinLengthLogitsProcessor''',
	    '''FlaxTemperatureLogitsWarper''',
	    '''FlaxTopKLogitsWarper''',
	    '''FlaxTopPLogitsWarper''',
	]
	__lowerCamelCase :    Union[str, Any]      						=      [
	    '''FlaxGenerationMixin''',
	    '''FlaxGreedySearchOutput''',
	    '''FlaxSampleOutput''',
	    '''FlaxBeamSearchOutput''',
	]

if TYPE_CHECKING:
	from .configuration_utils import GenerationConfig
	from .streamers import TextIteratorStreamer, TextStreamer

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .beam_constraints import Constraint, ConstraintListState, DisjunctiveConstraint, PhrasalConstraint
		from .beam_search import BeamHypotheses, BeamScorer, BeamSearchScorer, ConstrainedBeamSearchScorer
		from .logits_process import (
		    EncoderNoRepeatNGramLogitsProcessor,
		    EncoderRepetitionPenaltyLogitsProcessor,
		    EpsilonLogitsWarper,
		    EtaLogitsWarper,
		    ExponentialDecayLengthPenalty,
		    ForcedBOSTokenLogitsProcessor,
		    ForcedEOSTokenLogitsProcessor,
		    HammingDiversityLogitsProcessor,
		    InfNanRemoveLogitsProcessor,
		    LogitNormalization,
		    LogitsProcessor,
		    LogitsProcessorList,
		    LogitsWarper,
		    MinLengthLogitsProcessor,
		    MinNewTokensLengthLogitsProcessor,
		    NoBadWordsLogitsProcessor,
		    NoRepeatNGramLogitsProcessor,
		    PrefixConstrainedLogitsProcessor,
		    RepetitionPenaltyLogitsProcessor,
		    SequenceBiasLogitsProcessor,
		    TemperatureLogitsWarper,
		    TopKLogitsWarper,
		    TopPLogitsWarper,
		    TypicalLogitsWarper,
		)
		from .stopping_criteria import (
		    MaxLengthCriteria,
		    MaxNewTokensCriteria,
		    MaxTimeCriteria,
		    StoppingCriteria,
		    StoppingCriteriaList,
		    validate_stopping_criteria,
		)
		from .utils import (
		    BeamSampleDecoderOnlyOutput,
		    BeamSampleEncoderDecoderOutput,
		    BeamSearchDecoderOnlyOutput,
		    BeamSearchEncoderDecoderOutput,
		    ContrastiveSearchDecoderOnlyOutput,
		    ContrastiveSearchEncoderDecoderOutput,
		    GenerationMixin,
		    GreedySearchDecoderOnlyOutput,
		    GreedySearchEncoderDecoderOutput,
		    SampleDecoderOnlyOutput,
		    SampleEncoderDecoderOutput,
		    top_k_top_p_filtering,
		)

	try:
		if not is_tf_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .tf_logits_process import (
		    TFForcedBOSTokenLogitsProcessor,
		    TFForcedEOSTokenLogitsProcessor,
		    TFForceTokensLogitsProcessor,
		    TFLogitsProcessor,
		    TFLogitsProcessorList,
		    TFLogitsWarper,
		    TFMinLengthLogitsProcessor,
		    TFNoBadWordsLogitsProcessor,
		    TFNoRepeatNGramLogitsProcessor,
		    TFRepetitionPenaltyLogitsProcessor,
		    TFSuppressTokensAtBeginLogitsProcessor,
		    TFSuppressTokensLogitsProcessor,
		    TFTemperatureLogitsWarper,
		    TFTopKLogitsWarper,
		    TFTopPLogitsWarper,
		)
		from .tf_utils import (
		    TFBeamSampleDecoderOnlyOutput,
		    TFBeamSampleEncoderDecoderOutput,
		    TFBeamSearchDecoderOnlyOutput,
		    TFBeamSearchEncoderDecoderOutput,
		    TFContrastiveSearchDecoderOnlyOutput,
		    TFContrastiveSearchEncoderDecoderOutput,
		    TFGenerationMixin,
		    TFGreedySearchDecoderOnlyOutput,
		    TFGreedySearchEncoderDecoderOutput,
		    TFSampleDecoderOnlyOutput,
		    TFSampleEncoderDecoderOutput,
		    tf_top_k_top_p_filtering,
		)

	try:
		if not is_flax_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .flax_logits_process import (
		    FlaxForcedBOSTokenLogitsProcessor,
		    FlaxForcedEOSTokenLogitsProcessor,
		    FlaxLogitsProcessor,
		    FlaxLogitsProcessorList,
		    FlaxLogitsWarper,
		    FlaxMinLengthLogitsProcessor,
		    FlaxTemperatureLogitsWarper,
		    FlaxTopKLogitsWarper,
		    FlaxTopPLogitsWarper,
		)
		from .flax_utils import FlaxBeamSearchOutput, FlaxGenerationMixin, FlaxGreedySearchOutput, FlaxSampleOutput
else:
	import sys

	__lowerCamelCase :    int      						=      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



