


'''simple docstring'''

def 							SCREAMING_SNAKE_CASE__(		_UpperCamelCase   :					int     ,		_UpperCamelCase   :					int )		->       int:





   '''simple docstring'''







   if a < b:
      return gcd(_UpperCamelCase     ,		_UpperCamelCase )
   if a % b == 0:
      return b
   return gcd(_UpperCamelCase     ,		a % b )



def 							SCREAMING_SNAKE_CASE__(		_UpperCamelCase   :					int     ,		_UpperCamelCase   :					int     ,		_UpperCamelCase   :					int )		->       int:





   '''simple docstring'''







   if y == 0:
      return 1
   UpperCamelCase__			    =    power(_UpperCamelCase     ,		y // 2     ,		_UpperCamelCase ) % mod
   UpperCamelCase__			    =    (temp * temp) % mod
   if y % 2 == 1:
      UpperCamelCase__			    =    (temp * x) % mod
   return temp



def 							SCREAMING_SNAKE_CASE__(		_UpperCamelCase   :					int )		->       bool:





   '''simple docstring'''







   UpperCamelCase__			    =    2
   while b < n:
      if gcd(_UpperCamelCase     ,		_UpperCamelCase ) == 1 and power(_UpperCamelCase     ,		n - 1     ,		_UpperCamelCase ) != 1:
         return False
      b += 1
   return True


if __name__ == "__main__":
       __lowercase:		str    						=  int(input("Enter number: ").strip())
       if is_carmichael_number(number):
              print(F"""{number} is a Carmichael Number.""")
       else:
              print(F"""{number} is not a Carmichael Number.""")



'''simple docstring'''

from collections import OrderedDict
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfigWithPast
from ...utils import logging


__lowercase:		List[str]    						=  logging.get_logger(__name__)

__lowercase:		List[Any]    						=  {
    "uclanlp/plbart-base": "https://huggingface.co/uclanlp/plbart-base/resolve/main/config.json",
    # See all PLBART models at https://huggingface.co/models?filter=plbart
}







class 			UpperCAmelCase			(							SCREAMING_SNAKE_CASE__):
 _lowerCamelCase			:       Optional[int]            =       'plbart'
 _lowerCamelCase			:       Union[str, Any]            =       ['past_key_values']
 _lowerCamelCase			:       Tuple            =       {'num_attention_heads': 'encoder_attention_heads', 'hidden_size': 'd_model'}

 def __init__(			self			:						Optional[Any],       a_			:						Union[str, Any]=5_0005,       a_			:						int=1024,       a_			:						str=6,       a_			:						Union[str, Any]=3072,       a_			:						Optional[int]=12,       a_			:						Optional[Any]=6,       a_			:						Dict=3072,       a_			:						Dict=12,       a_			:						int=0.0,       a_			:						List[Any]=0.0,       a_			:						Optional[Any]=True,       a_			:						List[str]=True,       a_			:						Tuple="gelu",       a_			:						Any=768,       a_			:						Dict=0.1,       a_			:						List[Any]=0.1,       a_			:						Union[str, Any]=0.0,       a_			:						Optional[Any]=0.02,       a_			:						Union[str, Any]=0.0,       a_			:						int=True,       a_			:						Dict=1,       a_			:						Optional[int]=0,       a_			:						Optional[int]=2,       a_			:						Any=2,       **a_			:						Optional[Any],       ):





    """simple docstring"""



    UpperCamelCase__			    =    vocab_size
    UpperCamelCase__			    =    max_position_embeddings
    UpperCamelCase__			    =    d_model
    UpperCamelCase__			    =    encoder_ffn_dim
    UpperCamelCase__			    =    encoder_layers
    UpperCamelCase__			    =    encoder_attention_heads
    UpperCamelCase__			    =    decoder_ffn_dim
    UpperCamelCase__			    =    decoder_layers
    UpperCamelCase__			    =    decoder_attention_heads
    UpperCamelCase__			    =    dropout
    UpperCamelCase__			    =    attention_dropout
    UpperCamelCase__			    =    activation_dropout
    UpperCamelCase__			    =    activation_function
    UpperCamelCase__			    =    init_std
    UpperCamelCase__			    =    encoder_layerdrop
    UpperCamelCase__			    =    decoder_layerdrop
    UpperCamelCase__			    =    classifier_dropout
    UpperCamelCase__			    =    use_cache
    UpperCamelCase__			    =    encoder_layers
    UpperCamelCase__			    =    scale_embedding  # scale factor will be sqrt(d_model) if True
    super().__init__(
        pad_token_id=a_,       bos_token_id=a_,       eos_token_id=a_,       is_encoder_decoder=a_,       forced_eos_token_id=a_,       **a_,       )







class 			UpperCAmelCase			(							SCREAMING_SNAKE_CASE__):

 @property
 def 		lowercase_    (			self			:						int       ):





    """simple docstring"""



    return OrderedDict(
        [
            ("input_ids", {0: "batch", 1: "sequence"}),
            ("attention_mask", {0: "batch", 1: "sequence"}),
        ]       )

 @property
 def 		lowercase_    (			self			:						Tuple       ):





    """simple docstring"""



    if self.use_past:
       return OrderedDict(
           [
               ("last_hidden_state", {0: "batch", 1: "sequence"}),
               ("past_keys", {0: "batch", 2: "sequence"}),
               ("encoder_last_hidden_state", {0: "batch", 1: "sequence"}),
           ]       )
    else:
       return OrderedDict(
           [
               ("last_hidden_state", {0: "batch", 1: "sequence"}),
               ("encoder_last_hidden_state", {0: "batch", 1: "sequence"}),
           ]       )