



'''simple docstring'''





def 		lowerCAmelCase__    (					UpperCamelCase_				:       int = 5_0_0_0_0_0_0_0	)->  int:
    A__		 =					set()
    A__		 =					int((limit - 2_4) ** (1 / 2)	)

    A__		 =					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:
        A__		 =					primea * primea
        for primea in primes:
            A__		 =					primea * primea * primea
            if square + cube >= limit - 1_6:
                break
            for primea in primes:
                A__		 =					primea * primea * primea * primea
                A__		 =					square + cube + tetr
                if total >= limit:
                    break
                ret.add(UpperCamelCase_	)

    return len(UpperCamelCase_	)


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





# Copyright 2022 The HuggingFace Team and The OpenBMB 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 typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


_lowercase						  =		{
    "configuration_cpmant": ["CPMANT_PRETRAINED_CONFIG_ARCHIVE_MAP", "CpmAntConfig"],
    "tokenization_cpmant": ["CpmAntTokenizer"],
}

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _lowercase						  =		[
       "CPMANT_PRETRAINED_MODEL_ARCHIVE_LIST",
       "CpmAntForCausalLM",
       "CpmAntModel",
       "CpmAntPreTrainedModel",
   ]


if TYPE_CHECKING:
   from .configuration_cpmant import CPMANT_PRETRAINED_CONFIG_ARCHIVE_MAP, CpmAntConfig
   from .tokenization_cpmant import CpmAntTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_cpmant import (
          CPMANT_PRETRAINED_MODEL_ARCHIVE_LIST,
          CpmAntForCausalLM,
          CpmAntModel,
          CpmAntPreTrainedModel,
      )


else:
   import sys

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