



from __future__ import annotations

from collections import Counter







def 							A     (						__UpperCAmelCase      )			->			list[int]:



						'''simple docstring'''






						UpperCAmelCase_					=	[True] * n
						UpperCAmelCase_					=	False
						UpperCAmelCase_					=	False
						UpperCAmelCase_					=	True

						for i in range(3				,   int(n**0.5 + 1      )				,   2      ):
												UpperCAmelCase_					=	i * 2
												while index < n:
																		UpperCAmelCase_					=	False
																		UpperCAmelCase_					=	index + i

						UpperCAmelCase_					=	[2]

						for i in range(3				,   __UpperCAmelCase				,   2      ):
												if is_prime[i]:
																		primes.append(__UpperCAmelCase      )

						return primes







def 							A     (						__UpperCAmelCase      )			->			list[list[int]]:



						'''simple docstring'''






						UpperCAmelCase_					=	str(__UpperCAmelCase      )
						UpperCAmelCase_					=	[]
						UpperCAmelCase_					=	['''0''', '''1''', '''2''', '''3''', '''4''', '''5''', '''6''', '''7''', '''8''', '''9''']

						for duplicate in Counter(__UpperCAmelCase      ) - Counter(set(__UpperCAmelCase      )      ):
												UpperCAmelCase_					=	[int(number_str.replace(__UpperCAmelCase				,   __UpperCAmelCase      )      ) for digit in digits]
												replacements.append(__UpperCAmelCase      )

						return replacements







def 							A     (						__UpperCAmelCase = 8      )			->			int:



						'''simple docstring'''






						UpperCAmelCase_					=	set()

						# Filter primes with less than 3 replaceable digits
						UpperCAmelCase_					=	{
						    x for x in set(prime_sieve(100_0000      )      ) if len(str(__UpperCAmelCase      )      ) - len(set(str(__UpperCAmelCase      )      )      ) >= 3
						}

						for prime in primes:
												if prime in numbers_checked:
																		continue

												UpperCAmelCase_					=	digit_replacements(__UpperCAmelCase      )

												for family in replacements:
																		numbers_checked.update(__UpperCAmelCase      )
																		UpperCAmelCase_					=	primes.intersection(__UpperCAmelCase      )

																		if len(__UpperCAmelCase      ) != family_length:
																								continue

																		return min(__UpperCAmelCase      )

						return -1


if __name__ == "__main__":
							print(solution())










from typing import TYPE_CHECKING

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


UpperCamelCase_      			=  {
    "configuration_mobilenet_v1": [
        "MOBILENET_V1_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "MobileNetV1Config",
        "MobileNetV1OnnxConfig",
    ],
}

try:
							if not is_vision_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCamelCase_      			=  ["MobileNetV1FeatureExtractor"]
							UpperCamelCase_      			=  ["MobileNetV1ImageProcessor"]

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCamelCase_      			=  [
							    "MOBILENET_V1_PRETRAINED_MODEL_ARCHIVE_LIST",
							    "MobileNetV1ForImageClassification",
							    "MobileNetV1Model",
							    "MobileNetV1PreTrainedModel",
							    "load_tf_weights_in_mobilenet_v1",
							]


if TYPE_CHECKING:
							from .configuration_mobilenet_va import (
							    MOBILENET_V1_PRETRAINED_CONFIG_ARCHIVE_MAP,
							    MobileNetVaConfig,
							    MobileNetVaOnnxConfig,
							)

							try:
														if not is_vision_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .feature_extraction_mobilenet_va import MobileNetVaFeatureExtractor
														from .image_processing_mobilenet_va import MobileNetVaImageProcessor

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_mobilenet_va import (
														    MOBILENET_V1_PRETRAINED_MODEL_ARCHIVE_LIST,
														    MobileNetVaForImageClassification,
														    MobileNetVaModel,
														    MobileNetVaPreTrainedModel,
														    load_tf_weights_in_mobilenet_va,
														)


else:
							import sys

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





