

'''simple docstring'''
from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowerCamelCase			:				str 			=					logging.get_logger(__name__)

lowerCamelCase			:				Optional[Any] 			=					{
    "facebook/xglm-564M": "https://huggingface.co/facebook/xglm-564M/resolve/main/config.json",
    # See all XGLM models at https://huggingface.co/models?filter=xglm
}







class 							A__   (	A__  ):
  A__					=    'xglm'
  A__					=    ['past_key_values']

  A__					=    {
      'num_attention_heads': 'attention_heads',
      'hidden_size': 'd_model',
      'num_hidden_layers': 'num_layers',
  }





  def __init__(		self				:     Union[str, Any]							, _a				:     Tuple=25_6008							, _a				:     int=2048							, _a				:     List[str]=1024							, _a				:     Dict=4096							, _a				:     str=24							, _a				:     Optional[Any]=16							, _a				:     List[Any]="gelu"							, _a				:     Optional[Any]=0.1							, _a				:     Any=0.1							, _a				:     str=0.0							, _a				:     Dict=0.0							, _a				:     List[Any]=0.02							, _a				:     int=True							, _a				:     int=True							, _a				:     List[Any]=2							, _a				:     Optional[Any]=1							, _a				:     Dict=0							, _a				:     List[Any]=2							, **_a				:     List[Any]							, )     ->   int:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =vocab_size
       _SCREAMING_SNAKE_CASE							   =max_position_embeddings
       _SCREAMING_SNAKE_CASE							   =d_model
       _SCREAMING_SNAKE_CASE							   =ffn_dim
       _SCREAMING_SNAKE_CASE							   =num_layers
       _SCREAMING_SNAKE_CASE							   =attention_heads
       _SCREAMING_SNAKE_CASE							   =activation_function
       _SCREAMING_SNAKE_CASE							   =dropout
       _SCREAMING_SNAKE_CASE							   =attention_dropout
       _SCREAMING_SNAKE_CASE							   =activation_dropout
       _SCREAMING_SNAKE_CASE							   =layerdrop
       _SCREAMING_SNAKE_CASE							   =init_std
       _SCREAMING_SNAKE_CASE							   =scale_embedding  # scale factor will be sqrt(d_model) if True
       _SCREAMING_SNAKE_CASE							   =use_cache

       super().__init__(
           pad_token_id=_a							, bos_token_id=_a							, eos_token_id=_a							, decoder_start_token_id=_a							, **_a							, )



'''simple docstring'''
from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt


def 	_lowerCAmelCase (						_UpperCamelCase						:					int    )				->      bool:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   =int(number**0.5    )
     return number == sq * sq


def 	_lowerCAmelCase (						_UpperCamelCase						:					int							,			_UpperCamelCase						:					int							,			_UpperCamelCase						:					int							,			_UpperCamelCase						:					int							,			_UpperCamelCase						:					int							,			_UpperCamelCase						:					int    )				->      tuple[int, int]:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   =x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
     _SCREAMING_SNAKE_CASE							   =x_den * y_den * z_den
     _SCREAMING_SNAKE_CASE							   =gcd(_UpperCamelCase							,			_UpperCamelCase    )
     top //= hcf
     bottom //= hcf
     return top, bottom


def 	_lowerCAmelCase (						_UpperCamelCase						:					int = 35    )				->      int:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   =set()
     _SCREAMING_SNAKE_CASE							   =42
     _SCREAMING_SNAKE_CASE							   =Fraction(0    )
     _SCREAMING_SNAKE_CASE							   =42

     for x_num in range(1							,			order + 1    ):
          for x_den in range(x_num + 1							,			order + 1    ):
               for y_num in range(1							,			order + 1    ):
                    for y_den in range(y_num + 1							,			order + 1    ):
                         # n=1
                         _SCREAMING_SNAKE_CASE							   =x_num * y_den + x_den * y_num
                         _SCREAMING_SNAKE_CASE							   =x_den * y_den
                         _SCREAMING_SNAKE_CASE							   =gcd(_UpperCamelCase							,			_UpperCamelCase    )
                         z_num //= hcf
                         z_den //= hcf
                         if 0 < z_num < z_den <= order:
                              _SCREAMING_SNAKE_CASE							   =add_three(
                                  _UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase    )
                              unique_s.add(_UpperCamelCase    )

                         # n=2
                         _SCREAMING_SNAKE_CASE							   =(
                             x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
                         )
                         _SCREAMING_SNAKE_CASE							   =x_den * x_den * y_den * y_den
                         if is_sq(_UpperCamelCase    ) and is_sq(_UpperCamelCase    ):
                              _SCREAMING_SNAKE_CASE							   =int(sqrt(_UpperCamelCase    )    )
                              _SCREAMING_SNAKE_CASE							   =int(sqrt(_UpperCamelCase    )    )
                              _SCREAMING_SNAKE_CASE							   =gcd(_UpperCamelCase							,			_UpperCamelCase    )
                              z_num //= hcf
                              z_den //= hcf
                              if 0 < z_num < z_den <= order:
                                   _SCREAMING_SNAKE_CASE							   =add_three(
                                       _UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase    )
                                   unique_s.add(_UpperCamelCase    )

                    # n=-1
                         _SCREAMING_SNAKE_CASE							   =x_num * y_num
                         _SCREAMING_SNAKE_CASE							   =x_den * y_num + x_num * y_den
                         _SCREAMING_SNAKE_CASE							   =gcd(_UpperCamelCase							,			_UpperCamelCase    )
                         z_num //= hcf
                         z_den //= hcf
                         if 0 < z_num < z_den <= order:
                              _SCREAMING_SNAKE_CASE							   =add_three(
                                  _UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase    )
                              unique_s.add(_UpperCamelCase    )

                         # n=2
                         _SCREAMING_SNAKE_CASE							   =x_num * x_num * y_num * y_num
                         _SCREAMING_SNAKE_CASE							   =(
                             x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
                         )
                         if is_sq(_UpperCamelCase    ) and is_sq(_UpperCamelCase    ):
                              _SCREAMING_SNAKE_CASE							   =int(sqrt(_UpperCamelCase    )    )
                              _SCREAMING_SNAKE_CASE							   =int(sqrt(_UpperCamelCase    )    )
                              _SCREAMING_SNAKE_CASE							   =gcd(_UpperCamelCase							,			_UpperCamelCase    )
                              z_num //= hcf
                              z_den //= hcf
                              if 0 < z_num < z_den <= order:
                                   _SCREAMING_SNAKE_CASE							   =add_three(
                                       _UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase							,			_UpperCamelCase    )
                                   unique_s.add(_UpperCamelCase    )

     for num, den in unique_s:
          total += Fraction(_UpperCamelCase							,			_UpperCamelCase    )

     return total.denominator + total.numerator


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