




"""simple docstring"""




from __future__ import annotations

a_        =       [True] * 1_0_0_0_0_0_1
a_        =       2
while i * i <= 1_0_0_0_0_0_0:
			if seive[i]:
						for j in range(i * i, 1_0_0_0_0_0_1, i):
									a_        =       False
			i += 1







def      __UpperCAmelCase     ( __UpperCamelCase	):
			return seive[n]







def      __UpperCAmelCase     ( __UpperCamelCase	):
			return any(digit in '''02468''' for digit in str(__UpperCamelCase	)	)







def      __UpperCAmelCase     ( __UpperCamelCase = 1_00_00_00	):
			__lowercase			:  int								=       [2]  # result already includes the number 2.
			for num in range(3	,				limit + 1	,				2	):
						if is_prime(__UpperCamelCase	) and not contains_an_even_digit(__UpperCamelCase	):
									__lowercase			:  Dict								=       str(__UpperCamelCase	)
									__lowercase			:  Dict								=       [int(str_num[j:] + str_num[:j]	) for j in range(len(__UpperCamelCase	)	)]
									if all(is_prime(__UpperCamelCase	) for i in list_nums	):
												result.append(__UpperCamelCase	)
			return result







def      __UpperCAmelCase     ( ):
			return len(find_circular_primes()	)


if __name__ == "__main__":
			print(F"{len(find_circular_primes()) = }")




'''simple docstring'''






from typing import TYPE_CHECKING

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


_UpperCAmelCase    :     str         =       {
    '''configuration_vision_encoder_decoder''': ['''VisionEncoderDecoderConfig''', '''VisionEncoderDecoderOnnxConfig''']
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCAmelCase    :     Tuple         =       ['''VisionEncoderDecoderModel''']

try:
   if not is_tf_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCAmelCase    :     str         =       ['''TFVisionEncoderDecoderModel''']

try:
   if not is_flax_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _UpperCAmelCase    :     Any         =       ['''FlaxVisionEncoderDecoderModel''']

if TYPE_CHECKING:
   from .configuration_vision_encoder_decoder import VisionEncoderDecoderConfig, VisionEncoderDecoderOnnxConfig

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_vision_encoder_decoder import VisionEncoderDecoderModel

   try:
      if not is_tf_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_tf_vision_encoder_decoder import TFVisionEncoderDecoderModel

   try:
      if not is_flax_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_flax_vision_encoder_decoder import FlaxVisionEncoderDecoderModel

else:
   import sys

   _UpperCAmelCase    :     List[str]         =       _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)



