



"""simple docstring"""






from typing import TYPE_CHECKING

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


lowerCamelCase				:     Dict								=  {
    """configuration_realm""": ["""REALM_PRETRAINED_CONFIG_ARCHIVE_MAP""", """RealmConfig"""],
    """tokenization_realm""": ["""RealmTokenizer"""],
}

try:
    if not is_tokenizers_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    lowerCamelCase				:     int								=  ["""RealmTokenizerFast"""]

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    lowerCamelCase				:     Union[str, Any]								=  [
        """REALM_PRETRAINED_MODEL_ARCHIVE_LIST""",
        """RealmEmbedder""",
        """RealmForOpenQA""",
        """RealmKnowledgeAugEncoder""",
        """RealmPreTrainedModel""",
        """RealmReader""",
        """RealmScorer""",
        """load_tf_weights_in_realm""",
    ]
    lowerCamelCase				:     List[str]								=  ["""RealmRetriever"""]


if TYPE_CHECKING:
    from .configuration_realm import REALM_PRETRAINED_CONFIG_ARCHIVE_MAP, RealmConfig
    from .tokenization_realm import RealmTokenizer

    try:
        if not is_tokenizers_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .tokenization_realm import RealmTokenizerFast

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_realm import (
            REALM_PRETRAINED_MODEL_ARCHIVE_LIST,
            RealmEmbedder,
            RealmForOpenQA,
            RealmKnowledgeAugEncoder,
            RealmPreTrainedModel,
            RealmReader,
            RealmScorer,
            load_tf_weights_in_realm,
        )
        from .retrieval_realm import RealmRetriever


else:
    import sys

    lowerCamelCase				:     List[Any]								=  _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





"""simple docstring"""






from math import gcd


def 							A__ (     UpperCamelCase__ = 12_000    ):


  '''simple docstring'''


  _SCREAMING_SNAKE_CASE        =			0
  for d in range(max_d + 1    ):
    for n in range(d // 3 + 1       ,							(d + 1) // 2    ):
      if gcd(UpperCamelCase__       ,							UpperCamelCase__    ) == 1:
        fractions_number += 1
  return fractions_number


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