


'''simple docstring'''

import math



def 							SCREAMING_SNAKE_CASE__(		_UpperCamelCase   :					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(_UpperCamelCase ) + 1 )     ,		6 ):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True



def 							SCREAMING_SNAKE_CASE__(		_UpperCamelCase   :					int = 10_00     ,		_UpperCamelCase   :					int = 10_00 )		->       int:





   '''simple docstring'''







   UpperCamelCase__			    =    [0, 0, 0]  # length, a, b
   for a in range((a_limit * -1) + 1     ,		_UpperCamelCase ):
      for b in range(2     ,		_UpperCamelCase ):
         if is_prime(_UpperCamelCase ):
            UpperCamelCase__			    =    0
            UpperCamelCase__			    =    0
            while is_prime((n**2) + (a * n) + b ):
               count += 1
               n += 1
            if count > longest[0]:
               UpperCamelCase__			    =    [count, a, b]
   UpperCamelCase__			    =    longest[1] * longest[2]
   return ans


if __name__ == "__main__":
       print(solution(1_000, 1_000))







"""simple docstring"""


# Copyright 2022 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from pathlib import Path

from .config_args import default_config_file, load_config_from_file
from .config_utils import SubcommandHelpFormatter


_UpperCamelCase							:       int       					=		'Update an existing config file with the latest defaults while maintaining the old configuration.'




def      snake_case    (A_ :str ):







  '''simple docstring'''

  a	:     int							=  args.config_file
  if config_file is None and Path(A_ ).exists():
    a	:     List[Any]							=  default_config_file
  elif not Path(A_ ).exists():
    raise ValueError(f'''The passed config file located at {config_file} doesn\'t exist.''' )
  a	:     Dict							=  load_config_from_file(A_ )

  if config_file.endswith('.json' ):
    config.to_json_file(A_ )
  else:
    config.to_yaml_file(A_ )
  return config_file




def      snake_case    (A_ :List[str]      ,     A_ :Union[str, Any] ):







  '''simple docstring'''

  a	:     int							=  parser.add_parser('update'      ,     parents=A_      ,     help=A_      ,     formatter_class=A_ )
  parser.add_argument(
      '--config_file'      ,     default=A_      ,     help=(
          'The path to the config file to update. Will default to a file named default_config.yaml in the cache '
          'location, which is the content of the environment `HF_HOME` suffixed with \'accelerate\', or if you don\'t have '
          'such an environment variable, your cache directory (\'~/.cache\' or the content of `XDG_CACHE_HOME`) suffixed '
          'with \'huggingface\'.'
      )      ,     )

  parser.set_defaults(func=A_ )
  return parser






def      snake_case    (A_ :List[str] ):







  '''simple docstring'''

  a	:     List[str]							=  update_config(A_ )
  print(f'''Sucessfully updated the configuration file at {config_file}.''' )




