






'''simple docstring'''







import sys

sys.set_int_max_str_digits(0)  # type: ignore






def  lowerCAmelCase__		(					a_  :     int			)   -> bool:
       UpperCAmelCase__	:   Union[str, Any]												=	[0] * 1_1
       UpperCAmelCase__	:   List[str]												=	[0] * 1_1

       # mark last 9 numbers
       for _ in range(9			):
              UpperCAmelCase__	:   Tuple												=	1
              UpperCAmelCase__	:   str												=	number // 1_0
       # flag
       UpperCAmelCase__	:   List[Any]												=	True

       # check last 9 numbers for pandigitality

       for x in range(9			):
              if not check_last[x + 1]:
                     UpperCAmelCase__	:   Union[str, Any]												=	False
       if not f:
              return f

       # mark first 9 numbers
       UpperCAmelCase__	:   Any												=	int(str(a_			)[:9]			)

       for _ in range(9			):
              UpperCAmelCase__	:   Tuple												=	1
              UpperCAmelCase__	:   Optional[Any]												=	number // 1_0

       # check first 9 numbers for pandigitality

       for x in range(9			):
              if not check_front[x + 1]:
                     UpperCAmelCase__	:   Tuple												=	False
       return f






def  lowerCAmelCase__		(					a_  :     int			)   -> bool:
       UpperCAmelCase__	:   List[str]												=	[0] * 1_1

       # mark last 9 numbers
       for _ in range(9			):
              UpperCAmelCase__	:   List[Any]												=	1
              UpperCAmelCase__	:   Any												=	number // 1_0
       # flag
       UpperCAmelCase__	:   Dict												=	True

       # check last 9 numbers for pandigitality

       for x in range(9			):
              if not check_last[x + 1]:
                     UpperCAmelCase__	:   Dict												=	False
       return f






def  lowerCAmelCase__		(					)   -> int:
       UpperCAmelCase__	:   List[Any]												=	1
       UpperCAmelCase__	:   Any												=	1
       UpperCAmelCase__	:   Any												=	2
       # temporary Fibonacci numbers

       UpperCAmelCase__	:   int												=	1
       UpperCAmelCase__	:   Tuple												=	1
       UpperCAmelCase__	:   Union[str, Any]												=	2
       # temporary Fibonacci numbers mod 1e9

       # mod m=1e9, done for fast optimisation
       UpperCAmelCase__	:   Optional[int]												=	[0] * 1_0_0_0_0_0_0
       UpperCAmelCase__	:   Optional[Any]												=	1_0_0_0_0_0_0_0_0_0

       for x in range(1_0_0_0_0_0_0			):
              UpperCAmelCase__	:   str												=	(aa + ba) % m
              UpperCAmelCase__	:   Any												=	ba % m
              UpperCAmelCase__	:   List[Any]												=	ca % m
              if checka(a_			):
                     UpperCAmelCase__	:   List[Any]												=	1

       for x in range(1_0_0_0_0_0_0			):
              UpperCAmelCase__	:   int												=	a + b
              UpperCAmelCase__	:   List[str]												=	b
              UpperCAmelCase__	:   List[str]												=	c
              # perform check only if in tocheck
              if tocheck[x + 3] and check(a_			):
                     return x + 3  # first 2 already done
       return -1


if __name__ == "__main__":
  print(f'{solution() = }')







'''simple docstring'''







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


UpperCamelCase_					=				{
    "configuration_flava": [
        "FLAVA_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "FlavaConfig",
        "FlavaImageCodebookConfig",
        "FlavaImageConfig",
        "FlavaMultimodalConfig",
        "FlavaTextConfig",
    ],
}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase_					=				["FlavaFeatureExtractor"]
  UpperCamelCase_					=				["FlavaImageProcessor"]
  UpperCamelCase_					=				["FlavaProcessor"]

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase_					=				[
      "FLAVA_PRETRAINED_MODEL_ARCHIVE_LIST",
      "FlavaForPreTraining",
      "FlavaImageCodebook",
      "FlavaImageModel",
      "FlavaModel",
      "FlavaMultimodalModel",
      "FlavaPreTrainedModel",
      "FlavaTextModel",
  ]

if TYPE_CHECKING:
  from .configuration_flava import (
      FLAVA_PRETRAINED_CONFIG_ARCHIVE_MAP,
      FlavaConfig,
      FlavaImageCodebookConfig,
      FlavaImageConfig,
      FlavaMultimodalConfig,
      FlavaTextConfig,
  )

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .feature_extraction_flava import FlavaFeatureExtractor
    from .image_processing_flava import FlavaImageProcessor
    from .processing_flava import FlavaProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_flava import (
        FLAVA_PRETRAINED_MODEL_ARCHIVE_LIST,
        FlavaForPreTraining,
        FlavaImageCodebook,
        FlavaImageModel,
        FlavaModel,
        FlavaMultimodalModel,
        FlavaPreTrainedModel,
        FlavaTextModel,
    )

else:
  import sys

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