





'''simple docstring'''




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







def _lowerCAmelCase     (      _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase    )->     List[Any]:
 __UpperCAmelCase					=   [[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_:
    __UpperCAmelCase					=   max(val[i - 1] + dp[i - 1][w_ - wt[i - 1]]       ,    dp[i - 1][w_]    )
   else:
    __UpperCAmelCase					=   dp[i - 1][w_]

 return dp[n][w_], dp







def _lowerCAmelCase     (      _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase    )->     Optional[int]:
 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'    )

 __UpperCAmelCase					=   len(_lowerCAmelCase    )
 if num_items != len(_lowerCAmelCase    ):
  __UpperCAmelCase					=   (
      '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    ):
   __UpperCAmelCase					=   (
       'All weights must be integers but got weight of '
       F'type {type(wt[i]    )} at index {i}'
   )
   raise TypeError(_lowerCAmelCase    )

 __UpperCAmelCase					,    __UpperCAmelCase					=   knapsack(_lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase    )
 __UpperCAmelCase					=   set()
 _construct_solution(_lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase    )

 return optimal_val, example_optional_set







def _lowerCAmelCase     (      _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase       ,    _lowerCAmelCase    )->     Dict:
 # for the current item i at a maximum weight j to be part of an optimal subset,
 # the optimal value at (i, j) must be greater than the optimal value at (i-1, j).
 # where i - 1 means considering only the previous items at the given maximum weight
 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__":
    _A:					Optional[Any]							=				[3, 2, 4, 4]
    _A:					Optional[int]							=				[4, 3, 2, 3]
    _A:					str							=				4
    _A:					int							=				6
    _A:					Any							=				[[0] * (w + 1)] + [[0] + [-1] * (w + 1) for _ in range(n + 1)]
    _A						,			_A:					int							=				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
    _A						,			_A:					List[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)












'''simple docstring'''




import json
import os
import unittest

from transformers import MgpstrTokenizer
from transformers.models.mgp_str.tokenization_mgp_str import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin






@require_tokenizers
class UpperCAmelCase							(		UpperCAmelCase_					,			unittest.TestCase							):
    _A :			List[str]						   =       MgpstrTokenizer
    _A :			Any						   =       False
    _A :			List[Any]						   =       {}
    _A :			int						   =       False



    def 					__lowerCamelCase						(  self					):
     super().setUp()

     # fmt: off
     __UpperCAmelCase					=   ['[GO]', '[s]', '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']
     # fmt: on
     __UpperCAmelCase					=   dict(zip(__A     ,			range(len(__A					)					)					)					)

     __UpperCAmelCase					=   os.path.join(self.tmpdirname     ,			VOCAB_FILES_NAMES['vocab_file']					)
     with open(self.vocab_file     ,			'w'     ,			encoding='utf-8'					) as fp:
      fp.write(json.dumps(__A					) + '\n'					)



    def 					__lowerCamelCase						(  self     ,			**__A					):
     return MgpstrTokenizer.from_pretrained(self.tmpdirname     ,			**__A					)



    def 					__lowerCamelCase						(  self     ,			__A					):
     __UpperCAmelCase					=   'tester'
     __UpperCAmelCase					=   'tester'
     return input_text, output_text



    @unittest.skip('MGP-STR always lower cases letters.'					)
    def 					__lowerCamelCase						(  self					):
     pass



    def 					__lowerCamelCase						(  self					):
     __UpperCAmelCase					=   self.get_tokenizers(do_lower_case=__A					)
     for tokenizer in tokenizers:
      with self.subTest(f'{tokenizer.__class__.__name__}'					):
       __UpperCAmelCase					=   '[SPECIAL_TOKEN]'

       tokenizer.add_special_tokens({'cls_token': special_token}					)
       __UpperCAmelCase					=   tokenizer.encode([special_token]     ,			add_special_tokens=__A					)
       self.assertEqual(len(__A					)     ,			1					)

       __UpperCAmelCase					=   tokenizer.decode(__A     ,			skip_special_tokens=__A					)
       self.assertTrue(special_token not in decoded					)



    def 					__lowerCamelCase						(  self					):
     __UpperCAmelCase					=   self.get_tokenizers()
     for tokenizer in tokenizers:
      with self.subTest(f'{tokenizer.__class__.__name__}'					):
       __UpperCAmelCase					,    __UpperCAmelCase					=   self.get_input_output_texts(__A					)

       __UpperCAmelCase					=   tokenizer.tokenize(__A					)
       __UpperCAmelCase					=   tokenizer.convert_tokens_to_ids(__A					)
       __UpperCAmelCase					=   tokenizer.encode(__A     ,			add_special_tokens=__A					)
       self.assertListEqual(__A     ,			__A					)

       __UpperCAmelCase					=   tokenizer.convert_ids_to_tokens(__A					)
       self.assertNotEqual(len(__A					)     ,			0					)
       __UpperCAmelCase					=   tokenizer.decode(__A					)
       self.assertIsInstance(__A     ,			__A					)

       self.assertEqual(text_a.replace(' '     ,			''					)     ,			__A					)



    @unittest.skip('MGP-STR tokenizer only handles one sequence.'					)
    def 					__lowerCamelCase						(  self					):
     pass




    @unittest.skip('inputs cannot be pretokenized in MgpstrTokenizer'					)
    def 					__lowerCamelCase						(  self					):
     pass





