'''simple docstring'''


def   A_      (       SCREAMING_SNAKE_CASE_ = 1_00_00_00						)			->int:
  lowercase_     =       [i - 1 for i in range(limit + 1						)]

  for i in range(2 ,	limit + 1						):
    if phi[i] == i - 1:
      for j in range(2 * i ,	limit + 1 ,	SCREAMING_SNAKE_CASE_						):
        phi[j] -= phi[j] // i

  return sum(phi[2 : limit + 1]						)


if __name__ == "__main__":
       print(solution())


'''simple docstring'''


from typing import TYPE_CHECKING

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


__snake_case						  =		{
    """configuration_gpt_neox_japanese""": ["""GPT_NEOX_JAPANESE_PRETRAINED_CONFIG_ARCHIVE_MAP""", """GPTNeoXJapaneseConfig"""],
    """tokenization_gpt_neox_japanese""": ["""GPTNeoXJapaneseTokenizer"""],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       __snake_case						  =		[
           """GPT_NEOX_JAPANESE_PRETRAINED_MODEL_ARCHIVE_LIST""",
           """GPTNeoXJapaneseForCausalLM""",
           """GPTNeoXJapaneseLayer""",
           """GPTNeoXJapaneseModel""",
           """GPTNeoXJapanesePreTrainedModel""",
       ]


if TYPE_CHECKING:
       from .configuration_gpt_neox_japanese import GPT_NEOX_JAPANESE_PRETRAINED_CONFIG_ARCHIVE_MAP, GPTNeoXJapaneseConfig
       from .tokenization_gpt_neox_japanese import GPTNeoXJapaneseTokenizer

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_gpt_neox_japanese import (
                  GPT_NEOX_JAPANESE_PRETRAINED_MODEL_ARCHIVE_LIST,
                  GPTNeoXJapaneseForCausalLM,
                  GPTNeoXJapaneseLayer,
                  GPTNeoXJapaneseModel,
                  GPTNeoXJapanesePreTrainedModel,
              )


else:
       import sys

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

