

import math
def 					a				(      A__     :       int					)   ->				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 					a				(      A__     :       int = 600851475143					)   ->				int:





      """simple docstring"""



      try:
            _lowercase     	=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.'					)
      _lowercase     	=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					):
                        _lowercase     	=n // i
                        break
                  elif is_prime(A__					):
                        _lowercase     	=i
      return max_number


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





from typing import TYPE_CHECKING

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


lowercase_     =       {
    'configuration_oneformer': ['ONEFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'OneFormerConfig'],
    'processing_oneformer': ['OneFormerProcessor'],
}

try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  lowercase_     =       ['OneFormerImageProcessor']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  lowercase_     =       [
      'ONEFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
      'OneFormerForUniversalSegmentation',
      'OneFormerModel',
      'OneFormerPreTrainedModel',
  ]

if TYPE_CHECKING:
  from .configuration_oneformer import ONEFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, OneFormerConfig
  from .processing_oneformer import OneFormerProcessor

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .image_processing_oneformer import OneFormerImageProcessor
  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_oneformer import (
        ONEFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
        OneFormerForUniversalSegmentation,
        OneFormerModel,
        OneFormerPreTrainedModel,
    )


else:
  import sys

  lowercase_     =       _LazyModule(__name__, globals()['__file__'], _import_structure)


