

def 					_UpperCAmelCase       (  _SCREAMING_SNAKE_CASE					:		List[Any] ,   _SCREAMING_SNAKE_CASE					:		Union[str, Any] ,   _SCREAMING_SNAKE_CASE					:		List[str] ,   _SCREAMING_SNAKE_CASE					:		List[Any]       ):





    """simple docstring"""


    global f  # a global dp table for knapsack
    if f[i][j] < 0:
        if j < wt[i - 1]:
            SCREAMING_SNAKE_CASE_									=						mf_knapsack(i - 1 ,   lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_       )
        else:
            SCREAMING_SNAKE_CASE_									=						max(
                mf_knapsack(i - 1 ,   lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_       ) ,   mf_knapsack(i - 1 ,   lowerCamelCase_ ,   lowerCamelCase_ ,   j - wt[i - 1]       ) + val[i - 1] ,   )
        SCREAMING_SNAKE_CASE_									=						val
    return f[i][j]


def 					_UpperCAmelCase       (  _SCREAMING_SNAKE_CASE					:		List[Any] ,   _SCREAMING_SNAKE_CASE					:		int ,   _SCREAMING_SNAKE_CASE					:		Tuple ,   _SCREAMING_SNAKE_CASE					:		Tuple       ):





    """simple docstring"""


    SCREAMING_SNAKE_CASE_									=						[[0] * (w + 1) for _ in range(n + 1       )]

    for i in range(1 ,   n + 1       ):
        for w_ in range(1 ,   w + 1       ):
            if wt[i - 1] <= w_:
                SCREAMING_SNAKE_CASE_									=						max(val[i - 1] + dp[i - 1][w_ - wt[i - 1]] ,   dp[i - 1][w_]       )
            else:
                SCREAMING_SNAKE_CASE_									=						dp[i - 1][w_]

    return dp[n][w_], dp


def 					_UpperCAmelCase       (  _SCREAMING_SNAKE_CASE					:		Union[str, Any] ,   _SCREAMING_SNAKE_CASE					:		Tuple ,   _SCREAMING_SNAKE_CASE					:		int       ):





    """simple docstring"""


    if not (isinstance(lowerCamelCase_ ,   (list, tuple)       ) and isinstance(lowerCamelCase_ ,   (list, tuple)       )):
        raise ValueError(
            'Both the weights and values vectors must be either lists or tuples'       )

    SCREAMING_SNAKE_CASE_									=						len(lowerCamelCase_       )
    if num_items != len(lowerCamelCase_       ):
        SCREAMING_SNAKE_CASE_									=						(
            'The number of weights must be the same as the number of values.\n'
            f"""But got {num_items} weights and {len(lowerCamelCase_       )} values"""
        )
        raise ValueError(lowerCamelCase_       )
    for i in range(lowerCamelCase_       ):
        if not isinstance(wt[i] ,   lowerCamelCase_       ):
            SCREAMING_SNAKE_CASE_									=						(
                'All weights must be integers but got weight of '
                f"""type {type(wt[i]       )} at index {i}"""
            )
            raise TypeError(lowerCamelCase_       )

    SCREAMING_SNAKE_CASE_									=						knapsack(lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_       )
    SCREAMING_SNAKE_CASE_									=						set()
    _construct_solution(lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_ ,   lowerCamelCase_       )

    return optimal_val, example_optional_set


def 					_UpperCAmelCase       (  _SCREAMING_SNAKE_CASE					:		int ,   _SCREAMING_SNAKE_CASE					:		int ,   _SCREAMING_SNAKE_CASE					:		str ,   _SCREAMING_SNAKE_CASE					:		List[str] ,   _SCREAMING_SNAKE_CASE					:		str       ):





    """simple docstring"""


    if i > 0 and j > 0:
        if dp[i - 1][j] == dp[i][j]:
            _construct_solution(lowerCamelCase_ ,   lowerCamelCase_ ,   i - 1 ,   lowerCamelCase_ ,   lowerCamelCase_       )
        else:
            optimal_set.add(lowerCamelCase_       )
            _construct_solution(lowerCamelCase_ ,   lowerCamelCase_ ,   i - 1 ,   j - wt[i - 1] ,   lowerCamelCase_       )


if __name__ == "__main__":
       UpperCamelCase__  :      Dict			=    [3, 2, 4, 4]
       UpperCamelCase__  :      str			=    [4, 3, 2, 3]
       UpperCamelCase__  :      int			=    4
       UpperCamelCase__  :      Dict			=    6
       UpperCamelCase__  :      Any			=    [[0] * (w + 1)] + [[0] + [-1] * (w + 1) for _ in range(n + 1)]
       UpperCamelCase__	, UpperCamelCase__  :      List[str]			=    knapsack(w, wt, val, n)
       print(optimal_solution)
       print(mf_knapsack(n, wt, val, w))  # switched the n and w

       # testing the dynamic programming problem with example
       # the optimal subset for the above example are items 3 and 4
       UpperCamelCase__	, UpperCamelCase__  :      str			=    knapsack_with_example_solution(w, wt, val)
       assert optimal_solution == 8
       assert optimal_subset == {3, 4}
       print("optimal_value = ", optimal_solution)
       print("An optimal subset corresponding to the optimal value", optimal_subset)





import inspect
import os
import unittest
from pathlib import Path

import torch

import accelerate
from accelerate.test_utils import execute_subprocess_async
from accelerate.test_utils.testing import run_command



class       __snake_case  (    unittest.TestCase       ):
  __lowerCAmelCase     :	Dict						 =  inspect.getfile(accelerate.test_utils       )
  __lowerCAmelCase     :	Optional[Any]						 =  os.path.sep.join(mod_file.split(os.path.sep       )[:-1] + ['scripts', 'test_cli.py']       )

  __lowerCAmelCase     :	Tuple						 =  ['accelerate', 'launch']
  __lowerCAmelCase     :	Union[str, Any]						 =  Path.home() / '.cache/huggingface/accelerate'
  __lowerCAmelCase     :	List[str]						 =  'default_config.yaml'
  __lowerCAmelCase     :	List[Any]						 =  config_folder / config_file
  __lowerCAmelCase     :	str						 =  config_folder / '_default_config.yaml'

  __lowerCAmelCase     :	Optional[int]						 =  Path('tests/test_configs'       )

  @classmethod
  def 						lowerCAmelCase__     (					cls):
      if cls.config_path.is_file():
          cls.config_path.rename(cls.changed_path)

  @classmethod
  def 						lowerCAmelCase__     (					cls):
      if cls.changed_path.is_file():
          cls.changed_path.rename(cls.config_path)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						self.base_cmd
      if torch.cuda.is_available() and (torch.cuda.device_count() > 1):
          cmd += ["--multi_gpu"]
      execute_subprocess_async(cmd + [self.test_file_path]						,		env=os.environ.copy())

  def 						lowerCAmelCase__     (					self):
      for config in sorted(self.test_config_path.glob('**/*.yaml')):
          with self.subTest(config_file=_A):
              execute_subprocess_async(
                  self.base_cmd + ['--config_file', str(_A), self.test_file_path]						,		env=os.environ.copy())


  def 						lowerCAmelCase__     (					self):
      execute_subprocess_async(['accelerate', 'test']						,		env=os.environ.copy())






class       __snake_case  (    unittest.TestCase       ):
  __lowerCAmelCase     :	Optional[Any]						 =  'test-tpu'
  __lowerCAmelCase     :	str						 =  'us-central1-a'
  __lowerCAmelCase     :	Union[str, Any]						 =  'ls'
  __lowerCAmelCase     :	Union[str, Any]						 =  ['accelerate', 'tpu-config']
  __lowerCAmelCase     :	Union[str, Any]						 =  'cd /usr/share'
  __lowerCAmelCase     :	List[Any]						 =  'tests/test_samples/test_command_file.sh'
  __lowerCAmelCase     :	Dict						 =  'Running gcloud compute tpus tpu-vm ssh'

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + ['--command', self.command, '--tpu_zone', self.tpu_zone, '--tpu_name', self.tpu_name, '--debug']						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + [
              '--config_file',
              'tests/test_configs/0_12_0.yaml',
              '--command',
              self.command,
              '--tpu_zone',
              self.tpu_zone,
              '--tpu_name',
              self.tpu_name,
              '--debug',
          ]						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--debug']						,		return_stdout=_A)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--command', self.command, '--debug']						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + [
              '--config_file',
              'tests/test_configs/latest.yaml',
              '--command',
              self.command,
              '--command',
              'echo "Hello World"',
              '--debug',
          ]						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; ls; echo \"Hello World\" --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + ['--config_file', 'tests/test_configs/latest.yaml', '--command_file', self.command_file, '--debug']						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + [
              '--config_file',
              'tests/test_configs/0_12_0.yaml',
              '--command_file',
              self.command_file,
              '--tpu_zone',
              self.tpu_zone,
              '--tpu_name',
              self.tpu_name,
              '--debug',
          ]						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; echo \"hello world\"; echo \"this is a second command\" --worker all"""						,		_A						,		)

  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd + ['--config_file', 'tests/test_configs/latest.yaml', '--install_accelerate', '--debug']						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; pip install accelerate -U; echo \"hello world\"; echo \"this is a second command\" --worker all"""						,		_A						,		)


  def 						lowerCAmelCase__     (					self):
      SCREAMING_SNAKE_CASE_									=						run_command(
          self.cmd
          + [
              '--config_file',
              'tests/test_configs/latest.yaml',
              '--install_accelerate',
              '--accelerate_version',
              '12.0.0',
              '--debug',
          ]						,		return_stdout=_A						,		)
      self.assertIn(
          f"""{self.gcloud} test-tpu --zone us-central1-a --command {self.base_output}; pip install accelerate==12.0.0; echo \"hello world\"; echo \"this is a second command\" --worker all"""						,		_A						,		)


