






from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


snake_case__      :	Optional[int]       	=      {
    """configuration_longformer""": [
        """LONGFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """LongformerConfig""",
        """LongformerOnnxConfig""",
    ],
    """tokenization_longformer""": ["""LongformerTokenizer"""],
}

try:
	if not is_tokenizers_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	snake_case__      :	Optional[int]       	=      ["""LongformerTokenizerFast"""]

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	snake_case__      :	str       	=      [
	    """LONGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
	    """LongformerForMaskedLM""",
	    """LongformerForMultipleChoice""",
	    """LongformerForQuestionAnswering""",
	    """LongformerForSequenceClassification""",
	    """LongformerForTokenClassification""",
	    """LongformerModel""",
	    """LongformerPreTrainedModel""",
	    """LongformerSelfAttention""",
	]

try:
	if not is_tf_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	snake_case__      :	Optional[int]       	=      [
	    """TF_LONGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
	    """TFLongformerForMaskedLM""",
	    """TFLongformerForMultipleChoice""",
	    """TFLongformerForQuestionAnswering""",
	    """TFLongformerForSequenceClassification""",
	    """TFLongformerForTokenClassification""",
	    """TFLongformerModel""",
	    """TFLongformerPreTrainedModel""",
	    """TFLongformerSelfAttention""",
	]


if TYPE_CHECKING:
	from .configuration_longformer import (
	    LONGFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
	    LongformerConfig,
	    LongformerOnnxConfig,
	)
	from .tokenization_longformer import LongformerTokenizer

	try:
		if not is_tokenizers_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .tokenization_longformer_fast import LongformerTokenizerFast

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_longformer import (
		    LONGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
		    LongformerForMaskedLM,
		    LongformerForMultipleChoice,
		    LongformerForQuestionAnswering,
		    LongformerForSequenceClassification,
		    LongformerForTokenClassification,
		    LongformerModel,
		    LongformerPreTrainedModel,
		    LongformerSelfAttention,
		)

	try:
		if not is_tf_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_tf_longformer import (
		    TF_LONGFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
		    TFLongformerForMaskedLM,
		    TFLongformerForMultipleChoice,
		    TFLongformerForQuestionAnswering,
		    TFLongformerForSequenceClassification,
		    TFLongformerForTokenClassification,
		    TFLongformerModel,
		    TFLongformerPreTrainedModel,
		    TFLongformerSelfAttention,
		)

else:
	import sys

	snake_case__      :	int       	=      _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)













def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)
   if n == 0:
      return 0
   UpperCamelCase_									=     float('-inf')
   for i in range(1    ,      n + 1):
      UpperCamelCase_									=     max(
          __lowercase    ,      prices[i - 1] + naive_cut_rod_recursive(n - i    ,      __lowercase))

   return max_revue






def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     [float('-inf') for _ in range(n + 1)]
   return _top_down_cut_rod_recursive(__lowercase    ,      __lowercase    ,      __lowercase)






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase):
   if max_rev[n] >= 0:
      return max_rev[n]
   elif n == 0:
      return 0
   else:
      UpperCamelCase_									=     float('-inf')
      for i in range(1    ,      n + 1):
         UpperCamelCase_									=     max(
             __lowercase    ,      prices[i - 1] + _top_down_cut_rod_recursive(n - i    ,      __lowercase    ,      __lowercase)    ,      )

      UpperCamelCase_									=     max_revenue

   return max_rev[n]






def     _snake_case    (__lowercase    ,      __lowercase):
   _enforce_args(__lowercase    ,      __lowercase)

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

   for i in range(1    ,      n + 1):
      UpperCamelCase_									=     max_rev[i]
      for j in range(1    ,      i + 1):
         UpperCamelCase_									=     max(__lowercase    ,      prices[j - 1] + max_rev[i - j])

      UpperCamelCase_									=     max_revenue_i

   return max_rev[n]






def     _snake_case    (__lowercase    ,      __lowercase):
   if n < 0:
      UpperCamelCase_									=     f"""n must be greater than or equal to 0. Got n = {n}"""
      raise ValueError(__lowercase)

   if n > len(__lowercase):
      UpperCamelCase_									=     (
          'Each integral piece of rod must have a corresponding price. '
          f"""Got n = {n} but length of prices = {len(__lowercase)}"""
      )
      raise ValueError(__lowercase)






def     _snake_case    ():
   UpperCamelCase_									=     [6, 10, 12, 15, 20, 23]
   UpperCamelCase_									=     len(__lowercase)

   # the best revenue comes from cutting the rod into 6 pieces, each
   # of length 1 resulting in a revenue of 6 * 6 = 36.
   UpperCamelCase_									=     36

   UpperCamelCase_									=     top_down_cut_rod(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     bottom_up_cut_rod(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     naive_cut_rod_recursive(__lowercase    ,      __lowercase)

   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()





