'''simple docstring'''

import math



def  _lowerCAmelCase				(				__a      )  ->      bool:
     '''simple docstring'''







     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5			,      int(math.sqrt(__a      ) + 1      )			,      6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True



def  _lowerCAmelCase				(				__a = 60_08_51_47_51_43      )  ->      int:
     '''simple docstring'''







     try:
          _UpperCamelCase  :Union[str, Any]       =int(__a      )
     except (TypeError, ValueError):
          raise TypeError("""Parameter n must be int or castable to int."""      )
     if n <= 0:
          raise ValueError("""Parameter n must be greater than or equal to one."""      )
     _UpperCamelCase  :Optional[Any]       =0
     if is_prime(__a      ):
          return n
     while n % 2 == 0:
          n //= 2
     if is_prime(__a      ):
          return n
     for i in range(3			,      int(math.sqrt(__a      )      ) + 1			,      2      ):
          if n % i == 0:
               if is_prime(n // i      ):
                    _UpperCamelCase  :Dict       =n // i
                    break
               elif is_prime(__a      ):
                    _UpperCamelCase  :str       =i
     return max_number


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




"""simple docstring"""




from typing import TYPE_CHECKING

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


_UpperCamelCase:					Optional[Any]     				=	{
    'configuration_codegen': ['CODEGEN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'CodeGenConfig', 'CodeGenOnnxConfig'],
    'tokenization_codegen': ['CodeGenTokenizer'],
}

try:
     if not is_tokenizers_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase:					Union[str, Any]     				=	['CodeGenTokenizerFast']

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     _UpperCamelCase:					str     				=	[
         'CODEGEN_PRETRAINED_MODEL_ARCHIVE_LIST',
         'CodeGenForCausalLM',
         'CodeGenModel',
         'CodeGenPreTrainedModel',
     ]

if TYPE_CHECKING:
     from .configuration_codegen import CODEGEN_PRETRAINED_CONFIG_ARCHIVE_MAP, CodeGenConfig, CodeGenOnnxConfig
     from .tokenization_codegen import CodeGenTokenizer

     try:
          if not is_tokenizers_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_codegen_fast import CodeGenTokenizerFast

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_codegen import (
              CODEGEN_PRETRAINED_MODEL_ARCHIVE_LIST,
              CodeGenForCausalLM,
              CodeGenModel,
              CodeGenPreTrainedModel,
          )

else:
     import sys

     _UpperCamelCase:					int     				=	_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
