

import copy

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


A_:      Tuple        =			logging.get_logger(__name__)

A_:      Dict        =			{}


class _lowercase					(       _UpperCAmelCase						):





							"""simple docstring"""




							lowerCAmelCase__       =					'fsmt_decoder'



							def __init__(    self     ,   UpperCAmelCase=0     ,   UpperCAmelCase=0  ):







														'''simple docstring'''






														super().__init__()
														_lowercase				=	vocab_size
														_lowercase				=	bos_token_id






class _lowercase					(       _UpperCAmelCase						):





							"""simple docstring"""




							lowerCAmelCase__       =					'fsmt'
							lowerCAmelCase__       =					{'num_attention_heads': 'encoder_attention_heads', 'hidden_size': 'd_model'}



							def __init__(    self     ,   UpperCAmelCase=["en", "de"]     ,   UpperCAmelCase=42024     ,   UpperCAmelCase=42024     ,   UpperCAmelCase="relu"     ,   UpperCAmelCase=1024     ,   UpperCAmelCase=200     ,   UpperCAmelCase=1024     ,   UpperCAmelCase=4096     ,   UpperCAmelCase=12     ,   UpperCAmelCase=16     ,   UpperCAmelCase=0.0     ,   UpperCAmelCase=4096     ,   UpperCAmelCase=12     ,   UpperCAmelCase=16     ,   UpperCAmelCase=0.0     ,   UpperCAmelCase=0.0     ,   UpperCAmelCase=0.1     ,   UpperCAmelCase=0.0     ,   UpperCAmelCase=0.02     ,   UpperCAmelCase=2     ,   UpperCAmelCase=True     ,   UpperCAmelCase=True     ,   UpperCAmelCase=False     ,   UpperCAmelCase=5     ,   UpperCAmelCase=1.0     ,   UpperCAmelCase=False     ,   UpperCAmelCase=True     ,   UpperCAmelCase=1     ,   UpperCAmelCase=0     ,   UpperCAmelCase=2     ,   UpperCAmelCase=2     ,   **UpperCAmelCase     ,   ):







														'''simple docstring'''






														_lowercase				=	langs
														_lowercase				=	src_vocab_size
														_lowercase				=	tgt_vocab_size
														_lowercase				=	d_model  # encoder_embed_dim and decoder_embed_dim

														_lowercase				=	encoder_ffn_dim
														_lowercase				=	_lowercase				=	encoder_layers
														_lowercase				=	encoder_attention_heads
														_lowercase				=	encoder_layerdrop
														_lowercase				=	decoder_layerdrop
														_lowercase				=	decoder_ffn_dim
														_lowercase				=	decoder_layers
														_lowercase				=	decoder_attention_heads
														_lowercase				=	max_position_embeddings
														_lowercase				=	init_std  # Normal(0, this parameter)
														_lowercase				=	activation_function

														_lowercase				=	DecoderConfig(vocab_size=UpperCAmelCase     ,   bos_token_id=UpperCAmelCase  )
														if "decoder" in common_kwargs:
																					del common_kwargs["decoder"]

														_lowercase				=	scale_embedding  # scale factor will be sqrt(d_model) if True

														# 3 Types of Dropout
														_lowercase				=	attention_dropout
														_lowercase				=	activation_dropout
														_lowercase				=	dropout

														_lowercase				=	use_cache
														super().__init__(
														    pad_token_id=UpperCAmelCase     ,   bos_token_id=UpperCAmelCase     ,   eos_token_id=UpperCAmelCase     ,   decoder_start_token_id=UpperCAmelCase     ,   is_encoder_decoder=UpperCAmelCase     ,   tie_word_embeddings=UpperCAmelCase     ,   forced_eos_token_id=UpperCAmelCase     ,   max_length=UpperCAmelCase     ,   num_beams=UpperCAmelCase     ,   length_penalty=UpperCAmelCase     ,   early_stopping=UpperCAmelCase     ,   **UpperCAmelCase     ,   )



							def     _UpperCAmelCase       (    self  ):







														'''simple docstring'''






														_lowercase				=	copy.deepcopy(self.__dict__  )
														_lowercase				=	self.decoder.to_dict()
														_lowercase				=	self.__class__.model_type
														return output



def 					__lowerCAmelCase			(  _A = 998_001					):



							"""simple docstring"""


							_lowercase				=	0
							for i in range(999 ,99 ,-1					):  # 3 digit numbers range from 999 down to 100
														for j in range(999 ,99 ,-1					):
																					_lowercase				=	str(i * j					)
																					if product_string == product_string[::-1] and i * j < n:
																												_lowercase				=	max(_A ,i * j					)
							return answer


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


