





"""simple docstring"""





from typing import TYPE_CHECKING

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


__A											=		{"""configuration_plbart""": ["""PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP""", """PLBartConfig"""]}

try:
  if not is_sentencepiece_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __A											=		["""PLBartTokenizer"""]

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  __A											=		[
      """PLBART_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """PLBartForCausalLM""",
      """PLBartForConditionalGeneration""",
      """PLBartForSequenceClassification""",
      """PLBartModel""",
      """PLBartPreTrainedModel""",
  ]


if TYPE_CHECKING:
  from .configuration_plbart import PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP, PLBartConfig

  try:
    if not is_sentencepiece_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .tokenization_plbart import PLBartTokenizer

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_plbart import (
        PLBART_PRETRAINED_MODEL_ARCHIVE_LIST,
        PLBartForCausalLM,
        PLBartForConditionalGeneration,
        PLBartForSequenceClassification,
        PLBartModel,
        PLBartPreTrainedModel,
    )


else:
  import sys

  __A											=		_LazyModule(__name__, globals()["""__file__"""], _import_structure)







"""simple docstring"""





import math
def  __A   (_SCREAMING_SNAKE_CASE			)					->int:





  """simple docstring"""


  if not isinstance(_SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE			):
    lowerCAmelCase__			:Dict											=							F"Input value of [number={number}] must be an integer"
    raise TypeError(_SCREAMING_SNAKE_CASE			)

  if number < 1:
    lowerCAmelCase__			:Dict											=							F"Input value of [number={number}] must be > 0"
    raise ValueError(_SCREAMING_SNAKE_CASE			)
  elif number == 1:
    return 3
  elif number == 2:
    return 5
  else:
    lowerCAmelCase__			:Union[str, Any]											=							int(math.log(number // 3     ,   2			)			) + 2

    lowerCAmelCase__			:Optional[Any]											=							[3, 5]
    lowerCAmelCase__			:Optional[Any]											=							2
    lowerCAmelCase__			:List[str]											=							3
    for block in range(1     ,   _SCREAMING_SNAKE_CASE			):
      for _ in range(_SCREAMING_SNAKE_CASE			):
        proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1]			)
        proth_index += 1
      increment *= 2

  return proth_list[number - 1]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  for number in range(11):
    __A											=		0
    try:
      __A											=		proth(number)
    except ValueError:
      print(F'''ValueError: there is no {number}th Proth number''')
      continue

    print(F'''The {number}th Proth number: {value}''')
