



from __future__ import annotations
def 				UpperCAmelCase__		(					_SCREAMING_SNAKE_CASE :						int					)->list[int]:
      _lowerCAmelCase			      =	[0] * max_one

      for i in range(0  ,					_SCREAMING_SNAKE_CASE					):
            _lowerCAmelCase			      =	i

      for i in range(2  ,					_SCREAMING_SNAKE_CASE					):
            if totients[i] == i:
                  for j in range(_SCREAMING_SNAKE_CASE  ,					_SCREAMING_SNAKE_CASE  ,					_SCREAMING_SNAKE_CASE					):
                        totients[j] -= totients[j] // i

      return totients
def 				UpperCAmelCase__		(					_SCREAMING_SNAKE_CASE :						int  ,					_SCREAMING_SNAKE_CASE :						int					)->bool:
      return sorted(str(_SCREAMING_SNAKE_CASE					)					) == sorted(str(_SCREAMING_SNAKE_CASE					)					)
def 				UpperCAmelCase__		(					_SCREAMING_SNAKE_CASE :						int = 1_0_0_0_0_0_0_0					)->int:
      _lowerCAmelCase			      =	1  # i
      _lowerCAmelCase			      =	0  # φ(i)
      _lowerCAmelCase			      =	get_totients(max_n + 1					)

      for i in range(2  ,					max_n + 1					):
            _lowerCAmelCase			      =	totients[i]

            if i * min_denominator < min_numerator * t and has_same_digits(_SCREAMING_SNAKE_CASE  ,					_SCREAMING_SNAKE_CASE					):
                  _lowerCAmelCase			      =	i
                  _lowerCAmelCase			      =	t

      return min_numerator


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




from typing import List, Union

from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase_          =				logging.get_logger(__name__)

UpperCAmelCase_          =				{
    "allenai/led-base-16384": "https://huggingface.co/allenai/led-base-16384/resolve/main/config.json",
    # See all LED models at https://huggingface.co/models?filter=led
}





class 		UpperCAmelCase    (    snake_case_					):
   SCREAMING_SNAKE_CASE__					      =  '''led'''
   SCREAMING_SNAKE_CASE__					      =  {
       '''num_attention_heads''': '''encoder_attention_heads''',
       '''hidden_size''': '''d_model''',
       '''attention_probs_dropout_prob''': '''attention_dropout''',
       '''initializer_range''': '''init_std''',
   }





   def __init__(						self							,  _lowerCAmelCase=50_265							,  _lowerCAmelCase=16_384							,  _lowerCAmelCase=1_024							,  _lowerCAmelCase=12							,  _lowerCAmelCase=4_096							,  _lowerCAmelCase=16							,  _lowerCAmelCase=12							,  _lowerCAmelCase=4_096							,  _lowerCAmelCase=16							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=True							,  _lowerCAmelCase=True							,  _lowerCAmelCase="gelu"							,  _lowerCAmelCase=1_024							,  _lowerCAmelCase=0.1							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.02							,  _lowerCAmelCase=2							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=1							,  _lowerCAmelCase=0							,  _lowerCAmelCase=2							,  _lowerCAmelCase = 512							,  **_lowerCAmelCase							,  ):
         _lowerCAmelCase			      =	vocab_size
         _lowerCAmelCase			      =	max_encoder_position_embeddings
         _lowerCAmelCase			      =	max_decoder_position_embeddings
         _lowerCAmelCase			      =	d_model
         _lowerCAmelCase			      =	encoder_ffn_dim
         _lowerCAmelCase			      =	encoder_layers
         _lowerCAmelCase			      =	encoder_attention_heads
         _lowerCAmelCase			      =	decoder_ffn_dim
         _lowerCAmelCase			      =	decoder_layers
         _lowerCAmelCase			      =	decoder_attention_heads
         _lowerCAmelCase			      =	dropout
         _lowerCAmelCase			      =	attention_dropout
         _lowerCAmelCase			      =	activation_dropout
         _lowerCAmelCase			      =	activation_function
         _lowerCAmelCase			      =	init_std
         _lowerCAmelCase			      =	encoder_layerdrop
         _lowerCAmelCase			      =	decoder_layerdrop
         _lowerCAmelCase			      =	classifier_dropout
         _lowerCAmelCase			      =	use_cache
         _lowerCAmelCase			      =	encoder_layers
         _lowerCAmelCase			      =	attention_window

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