'''simple docstring'''





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCamelCase    :			int						     =  {
    """configuration_prophetnet""": ["""PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP""", """ProphetNetConfig"""],
    """tokenization_prophetnet""": ["""ProphetNetTokenizer"""],
}

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCamelCase    :			List[Any]						     =  [
          """PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """ProphetNetDecoder""",
          """ProphetNetEncoder""",
          """ProphetNetForCausalLM""",
          """ProphetNetForConditionalGeneration""",
          """ProphetNetModel""",
          """ProphetNetPreTrainedModel""",
      ]


if TYPE_CHECKING:
      from .configuration_prophetnet import PROPHETNET_PRETRAINED_CONFIG_ARCHIVE_MAP, ProphetNetConfig
      from .tokenization_prophetnet import ProphetNetTokenizer

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_prophetnet import (
                PROPHETNET_PRETRAINED_MODEL_ARCHIVE_LIST,
                ProphetNetDecoder,
                ProphetNetEncoder,
                ProphetNetForCausalLM,
                ProphetNetForConditionalGeneration,
                ProphetNetModel,
                ProphetNetPreTrainedModel,
            )

else:
      import sys

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






from __future__ import annotations



def        __a     (    lowerCAmelCase_   :					int				)      -> int | None:






						'''simple docstring'''



						for r in range(1			,lowerCAmelCase_				):
												UpperCAmelCase_=   []
												for x in range(n - 1				):
																		UpperCAmelCase_=   pow(lowerCAmelCase_			,lowerCAmelCase_			,lowerCAmelCase_				)
																		if val in li:
																								break
																		li.append(lowerCAmelCase_				)
												else:
																		return r
						return None


if __name__ == "__main__":
	__A				    =						int(input('''Enter a prime number q: '''))
	__A				    =						find_primitive(q)
	if a is None:
		print(f'Cannot find the primitive for the value: {a!r}')
	else:
		__A				    =						int(input('''Enter private key of A: '''))
		__A				    =						pow(a, a_private, q)
		__A				    =						int(input('''Enter private key of B: '''))
		__A				    =						pow(a, b_private, q)

		__A				    =						pow(b_public, a_private, q)
		__A				    =						pow(a_public, b_private, q)

		print('''The key value generated by A is: ''', a_secret)
		print('''The key value generated by B is: ''', b_secret)




