def 	__SCREAMING_SNAKE_CASE  (					__UpperCamelCase    :       int = 50_00_00_00	)							->					int:







  """simple docstring"""





  SCREAMING_SNAKE_CASE__										=      set()
  SCREAMING_SNAKE_CASE__										=      int((limit - 24) ** (1 / 2)	)

  SCREAMING_SNAKE_CASE__										=      set(range(3 ,     prime_square_limit + 1 ,     2	)	)
  primes.add(2	)
  for p in range(3 ,     prime_square_limit + 1 ,     2	):
    if p not in primes:
      continue
    primes.difference_update(set(range(p * p ,     prime_square_limit + 1 ,     __UpperCamelCase	)	)	)

  for primea in primes:
    SCREAMING_SNAKE_CASE__										=      primea * primea
    for primea in primes:
      SCREAMING_SNAKE_CASE__										=      primea * primea * primea
      if square + cube >= limit - 16:
        break
      for primea in primes:
        SCREAMING_SNAKE_CASE__										=      primea * primea * primea * primea
        SCREAMING_SNAKE_CASE__										=      square + cube + tetr
        if total >= limit:
          break
        ret.add(__UpperCamelCase	)

  return len(__UpperCamelCase	)


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

import unittest
from dataclasses import dataclass

import pytest

from accelerate.commands.config.config_args import SageMakerConfig
from accelerate.utils import ComputeEnvironment
from accelerate.utils.launch import _convert_nargs_to_dict







@dataclass
class __snake_case				(						lowerCamelCase_		):
   lowerCAmelCase_														=							ComputeEnvironment.AMAZON_SAGEMAKER
   lowerCAmelCase_														=							True
   lowerCAmelCase_														=							"ml.p3.2xlarge"
   lowerCAmelCase_														=							"accelerate_sagemaker_execution_role"
   lowerCAmelCase_														=							"hf-sm"
   lowerCAmelCase_														=							"us-east-1"
   lowerCAmelCase_														=							1
   lowerCAmelCase_														=							"accelerate-sagemaker-1"
   lowerCAmelCase_														=							"1.6"
   lowerCAmelCase_														=							"4.4"
   lowerCAmelCase_														=							"train.py"
   lowerCAmelCase_														=							[
       "--model_name_or_path",
       "bert",
       "--do_train",
       "False",
       "--epochs",
       "3",
       "--learning_rate",
       "5e-5",
       "--max_steps",
       "50.5",
   ]
   lowerCAmelCase_														=							[
       "--model_name_or_path",
       "bert",
       "--do_train",
       "--do_test",
       "False",
       "--do_predict",
       "--epochs",
       "3",
       "--learning_rate",
       "5e-5",
       "--max_steps",
       "50.5",
   ]







class __snake_case				(						unittest.TestCase		):




   def 	__a						(    self			:				List[Any]      ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__										=      _convert_nargs_to_dict(MockLaunchConfig.success_training_script_args      )
     assert isinstance(converted_args["""model_name_or_path"""]       ,	_lowercase      )
     assert isinstance(converted_args["""do_train"""]       ,	_lowercase      )
     assert isinstance(converted_args["""epochs"""]       ,	_lowercase      )
     assert isinstance(converted_args["""learning_rate"""]       ,	_lowercase      )
     assert isinstance(converted_args["""max_steps"""]       ,	_lowercase      )

     with pytest.raises(_lowercase      ):
       _convert_nargs_to_dict(MockLaunchConfig.fail_training_script_args      )
