



"""simple docstring"""


from typing import TYPE_CHECKING

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


snake_case_				     =       {
    """configuration_longt5""": ["""LONGT5_PRETRAINED_CONFIG_ARCHIVE_MAP""", """LongT5Config""", """LongT5OnnxConfig"""],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				snake_case_				     =       [
				    """LONGT5_PRETRAINED_MODEL_ARCHIVE_LIST""",
				    """LongT5EncoderModel""",
				    """LongT5ForConditionalGeneration""",
				    """LongT5Model""",
				    """LongT5PreTrainedModel""",
				]

try:
				if not is_flax_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				snake_case_				     =       [
				    """FlaxLongT5ForConditionalGeneration""",
				    """FlaxLongT5Model""",
				    """FlaxLongT5PreTrainedModel""",
				]


if TYPE_CHECKING:
				from .configuration_longta import LONGT5_PRETRAINED_CONFIG_ARCHIVE_MAP, LongTaConfig, LongTaOnnxConfig

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_longta import (
								    LONGT5_PRETRAINED_MODEL_ARCHIVE_LIST,
								    LongTaEncoderModel,
								    LongTaForConditionalGeneration,
								    LongTaModel,
								    LongTaPreTrainedModel,
								)

				try:
								if not is_flax_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_flax_longta import (
								    FlaxLongTaForConditionalGeneration,
								    FlaxLongTaModel,
								    FlaxLongTaPreTrainedModel,
								)


else:
				import sys

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












def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase = 100_0000 )			->     int:
    lowerCamelCase__    :      int					 =		limit + 1
    lowerCamelCase__    :      Optional[Any]					 =		[0] * limit
    for first_term in range(1						,	_UpperCAmelCase ):
        for n in range(_UpperCAmelCase						,	_UpperCAmelCase						,	_UpperCAmelCase ):
            lowerCamelCase__    :      Optional[Any]					 =		first_term + n / first_term
            if common_difference % 4:  # d must be divisble by 4
                continue
            else:
                common_difference /= 4
                if (
                    first_term > common_difference
                    and first_term < 4 * common_difference
                ):  # since x,y,z are positive integers
                    frequency[n] += 1  # so z>0 and a>d ,also 4d<a

    lowerCamelCase__    :      List[str]					 =		sum(1 for x in frequency[1:limit] if x == 10 )

    return count


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





