



from __future__ import annotations

def       A_   (						__a  :					int			,		__a  :					list[int]			,		__a  :					list[int]			,		__a  :					int		):

				"""simple docstring"""

				# Base Case
				if counter == 0 or capacity == 0:
								return 0

				# If weight of the nth item is more than Knapsack of capacity,
				#   then this item cannot be included in the optimal solution,
				# else return the maximum of two cases:
				#   (1) nth item included
				#   (2) not included
				if weights[counter - 1] > capacity:
								return knapsack(__a			,		__a			,		__a			,		counter - 1		)
				else:
								a__					   =		capacity - weights[counter - 1]
								a__					   =		values[counter - 1] + knapsack(
								    __a			,		__a			,		__a			,		counter - 1		)
								a__					   =		knapsack(__a			,		__a			,		__a			,		counter - 1		)
								return max(__a			,		__a		)


if __name__ == "__main__":
	import doctest

	doctest.testmod()









'''simple docstring'''

import inspect
import warnings

import torch

from .state import AcceleratorState, GradientState
from .utils import DistributedType, honor_type, is_tpu_available


if is_tpu_available(check_device=False):
						import torch_xla.core.xla_model as xm






def 						_UpperCAmelCase     (	a		:						Tuple    ,      a		:						int				)      ->      List[str]:





						"""simple docstring"""
						if isinstance(a    ,      (list, tuple)				):
												return honor_type(a    ,      (move_to_device(a    ,      a				) for t in state)				)
						elif isinstance(a    ,      a				):
												return type(a				)({k: move_to_device(a    ,      a				) for k, v in state.items()}				)
						elif isinstance(a    ,      torch.Tensor				):
												return state.to(a				)
						return state






class 				__magic_name__  (						torch.optim.Optimizer					):







	"""simple docstring"""



	def __init__(				self	,   _lowercase	,   _lowercase=True	,   _lowercase=None							)    ->	int:
							lowercase_   : List[str]   	=      optimizer
							lowercase_   : Optional[int]   	=      scaler
							lowercase_   : Union[str, Any]   	=      AcceleratorState()
							lowercase_   : Optional[Any]   	=      GradientState()
							lowercase_   : Union[str, Any]   	=      device_placement
							lowercase_   : List[str]   	=      False
							lowercase_   : Optional[Any]   	=      None

							# Handle device placement
							if device_placement:
													lowercase_   : str   	=      self.optimizer.state_dict()
													if self.accelerator_state.distributed_type == DistributedType.TPU:
																			xm.send_cpu_data_to_device(_lowercase	,   self.accelerator_state.device							)
													else:
																			lowercase_   : List[str]   	=      move_to_device(_lowercase	,   self.accelerator_state.device							)
													self.optimizer.load_state_dict(_lowercase							)
	@property
	def 							lowerCamelCase__		(				self							)    ->	Any:
							return self.optimizer.state
	@state.setter
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Union[str, Any]:
							lowercase_   : Optional[Any]   	=      state
	@property
	def 							lowerCamelCase__		(				self							)    ->	Any:
							return self.optimizer.param_groups
	@param_groups.setter
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Optional[Any]:
							lowercase_   : Dict   	=      param_groups
	@property
	def 							lowerCamelCase__		(				self							)    ->	int:
							return self.optimizer.defaults
	@defaults.setter
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Any:
							lowercase_   : List[Any]   	=      defaults
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Tuple:
							self.optimizer.add_param_group(_lowercase							)
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Any:
							if self.accelerator_state.distributed_type == DistributedType.TPU and self.device_placement:
													xm.send_cpu_data_to_device(_lowercase	,   self.accelerator_state.device							)
							self.optimizer.load_state_dict(_lowercase							)
	def 							lowerCamelCase__		(				self							)    ->	Any:
							return self.optimizer.state_dict()
	def 							lowerCamelCase__		(				self	,   _lowercase=None							)    ->	Optional[Any]:
							if self.gradient_state.sync_gradients:
													lowercase_   : Tuple   	=      'set_to_none' in inspect.signature(self.optimizer.zero_grad							).parameters
													if accept_arg:
																			if set_to_none is None:
																									lowercase_   : Optional[int]   	=      False
																			self.optimizer.zero_grad(set_to_none=_lowercase							)
													else:
																			if set_to_none is not None:
																									raise ValueError('`set_to_none` for Optimizer.zero_grad` is not supported by this optimizer.'							)
																			self.optimizer.zero_grad()
	def 							lowerCamelCase__		(				self	,   _lowercase=None							)    ->	Optional[Any]:
							if self.gradient_state.sync_gradients:
													if self.accelerator_state.distributed_type == DistributedType.TPU:
																			lowercase_   : Union[str, Any]   	=      {'closure': closure} if closure is not None else {}
																			xm.optimizer_step(self.optimizer	,   optimizer_args=_lowercase							)
													elif self.scaler is not None:
																			lowercase_   : Optional[Any]   	=      False
																			if self._last_scale is None:
																									# `get_scale` is an async operation requiring full synchronization
																									# on CPU and GPUs before finishing. As a result, we store away
																									# the prior one to reduce the call overhead
																									lowercase_   : Tuple   	=      self.scaler.get_scale()
																									lowercase_   : int   	=      True
																			self.scaler.step(self.optimizer	,   _lowercase							)
																			self.scaler.update()
																			lowercase_   : List[str]   	=      self.scaler.get_scale()
																			if not new_scale:
																									# If we reduced the loss scale, it means the optimizer step was skipped because of gradient overflow.
																									lowercase_   : Optional[int]   	=      scale_after < self._last_scale
																			lowercase_   : List[str]   	=      scale_after

													else:
																			self.optimizer.step(_lowercase							)
	def 							lowerCamelCase__		(				self	,   _lowercase							)    ->	Optional[int]:
							for param_group in self.optimizer.param_groups:
													lowercase_   : Dict   	=      [parameters_map.get(_lowercase	,   _lowercase							) for p in param_group['params']]
	@property
	def 							lowerCamelCase__		(				self							)    ->	List[Any]:
							warnings.warn(
							    'The `is_overflow` property is deprecated and will be removed in version 1.0 of Accelerate use '
							    '`optimizer.step_was_skipped` instead.'	,   _lowercase	,   )
							return self._is_overflow
	@property
	def 							lowerCamelCase__		(				self							)    ->	str:
							return self._is_overflow
	def __getstate__(				self							)    ->	str:
							return self.__dict__.copy()







	def __setstate__(				self	,   _lowercase							)    ->	Union[str, Any]:
							self.__dict__.update(_lowercase							)
