






"""simple docstring"""





from typing import TYPE_CHECKING

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


A__       :			Optional[int]=						{
    """configuration_xlm_prophetnet""": ["""XLM_PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP""", """XLMProphetNetConfig"""],
}

try:
  if not is_sentencepiece_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  A__       :			Optional[Any]=						["""XLMProphetNetTokenizer"""]

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  A__       :			Dict=						[
      """XLM_PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """XLMProphetNetDecoder""",
      """XLMProphetNetEncoder""",
      """XLMProphetNetForCausalLM""",
      """XLMProphetNetForConditionalGeneration""",
      """XLMProphetNetModel""",
      """XLMProphetNetPreTrainedModel""",
  ]


if TYPE_CHECKING:
  from .configuration_xlm_prophetnet import XLM_PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP, XLMProphetNetConfig

  try:
    if not is_sentencepiece_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .tokenization_xlm_prophetnet import XLMProphetNetTokenizer

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_xlm_prophetnet import (
        XLM_PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST,
        XLMProphetNetDecoder,
        XLMProphetNetEncoder,
        XLMProphetNetForCausalLM,
        XLMProphetNetForConditionalGeneration,
        XLMProphetNetModel,
        XLMProphetNetPreTrainedModel,
    )

else:
  import sys

  A__       :			Optional[int]=						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)












"""simple docstring"""





from math import gcd







def 	lowerCAmelCase_(			SCREAMING_SNAKE_CASE = 1_20_00       )       ->						int:
    """simple docstring"""

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


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




