






"""simple docstring"""





def     __lowercase					(    a :				Optional[Any]       ,		a :				Dict )					->					Optional[int]:
      _enforce_args(_A       ,		_A )
      if n == 0:
            return 0
      __snake_case      :    List[str]  			=float('''-inf''' )
      for i in range(1       ,		n + 1 ):
            __snake_case      :    Optional[Any]  			=max(
                _A       ,		prices[i - 1] + naive_cut_rod_recursive(n - i       ,		_A ) )

      return max_revue



def     __lowercase					(    a :				Optional[Any]       ,		a :				Dict )					->					int:
      _enforce_args(_A       ,		_A )
      __snake_case      :    Optional[int]  			=[float('''-inf''' ) for _ in range(n + 1 )]
      return _top_down_cut_rod_recursive(_A       ,		_A       ,		_A )



def     __lowercase					(    a :				int       ,		a :				int       ,		a :				Tuple )					->					Any:

      if max_rev[n] >= 0:
            return max_rev[n]
      elif n == 0:
            return 0
      else:
            __snake_case      :    Optional[int]  			=float('''-inf''' )
            for i in range(1       ,		n + 1 ):
                  __snake_case      :    Tuple  			=max(
                      _A       ,		prices[i - 1] + _top_down_cut_rod_recursive(n - i       ,		_A       ,		_A )       ,		)

            __snake_case      :    int  			=max_revenue

      return max_rev[n]



def     __lowercase					(    a :				Optional[Any]       ,		a :				Optional[Any] )					->					Dict:
      _enforce_args(_A       ,		_A )

      # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
      # length 0.
      __snake_case      :    int  			=[float('''-inf''' ) for _ in range(n + 1 )]
      __snake_case      :    List[str]  			=0

      for i in range(1       ,		n + 1 ):
            __snake_case      :    Optional[int]  			=max_rev[i]
            for j in range(1       ,		i + 1 ):
                  __snake_case      :    List[Any]  			=max(_A       ,		prices[j - 1] + max_rev[i - j] )

            __snake_case      :    Optional[Any]  			=max_revenue_i

      return max_rev[n]



def     __lowercase					(    a :				int       ,		a :				str )					->					List[Any]:

      if n < 0:
            __snake_case      :    int  			=f'''n must be greater than or equal to 0. Got n = {n}'''
            raise ValueError(_A )

      if n > len(_A ):
            __snake_case      :    List[Any]  			=(
                '''Each integral piece of rod must have a corresponding price. '''
                f'''Got n = {n} but length of prices = {len(_A )}'''
            )
            raise ValueError(_A )



def     __lowercase					(    )					->					Union[str, Any]:
      __snake_case      :    List[str]  			=[6, 10, 12, 15, 20, 23]
      __snake_case      :    Optional[Any]  			=len(_A )

      # the best revenue comes from cutting the rod into 6 pieces, each
      # of length 1 resulting in a revenue of 6 * 6 = 36.
      __snake_case      :    List[Any]  			=36

      __snake_case      :    Any  			=top_down_cut_rod(_A       ,		_A )
      __snake_case      :    List[str]  			=bottom_up_cut_rod(_A       ,		_A )
      __snake_case      :    Union[str, Any]  			=naive_cut_rod_recursive(_A       ,		_A )

      assert expected_max_revenue == max_rev_top_down
      assert max_rev_top_down == max_rev_bottom_up
      assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
      main()










"""simple docstring"""





from typing import TYPE_CHECKING

from ...utils import _LazyModule


UpperCamelCase_	:				Union[str, Any]										= {"""tokenization_wav2vec2_phoneme""": ["""Wav2Vec2PhonemeCTCTokenizer"""]}


if TYPE_CHECKING:
    from .tokenization_wavaveca_phoneme import WavaVecaPhonemeCTCTokenizer
else:
    import sys

    UpperCamelCase_	:				List[Any]										= _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)


