




import copy

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


SCREAMING_SNAKE_CASE:    Dict											=   logging.get_logger(__name__)

SCREAMING_SNAKE_CASE:    int											=   {}



class       lowercase_		(lowerCamelCase_   ):
      lowerCAmelCase__ 			="""fsmt_decoder"""



      def __init__( self  :      Tuple				,       snake_case__  :      Tuple=0				,       snake_case__  :      List[str]=0     ):

        """simple docstring"""

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



class       lowercase_		(lowerCamelCase_   ):
      lowerCAmelCase__ 			="""fsmt"""
      lowerCAmelCase__ 			={"""num_attention_heads""": """encoder_attention_heads""", """hidden_size""": """d_model"""}



      def __init__( self  :      str				,       snake_case__  :      Any=["en", "de"]				,       snake_case__  :      Tuple=4_20_24				,       snake_case__  :      Optional[Any]=4_20_24				,       snake_case__  :      List[Any]="relu"				,       snake_case__  :      Optional[int]=10_24				,       snake_case__  :      List[Any]=2_00				,       snake_case__  :      List[Any]=10_24				,       snake_case__  :      Dict=40_96				,       snake_case__  :      Optional[Any]=12				,       snake_case__  :      Any=16				,       snake_case__  :      Dict=0.0				,       snake_case__  :      Tuple=40_96				,       snake_case__  :      Union[str, Any]=12				,       snake_case__  :      Tuple=16				,       snake_case__  :      str=0.0				,       snake_case__  :      Optional[int]=0.0				,       snake_case__  :      List[str]=0.1				,       snake_case__  :      int=0.0				,       snake_case__  :      Dict=0.02				,       snake_case__  :      Dict=2				,       snake_case__  :      Tuple=True				,       snake_case__  :      Optional[int]=True				,       snake_case__  :      str=False				,       snake_case__  :      List[Any]=5				,       snake_case__  :      Optional[Any]=1.0				,       snake_case__  :      str=False				,       snake_case__  :      Dict=True				,       snake_case__  :      Dict=1				,       snake_case__  :      int=0				,       snake_case__  :      List[str]=2				,       snake_case__  :      Dict=2				,       **snake_case__  :      Optional[int]				,       ):

        """simple docstring"""

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

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

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

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

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

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






      def   __a				( self  :      str     ):

        """simple docstring"""

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





from __future__ import annotations


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  Union[str, Any]:
		SCREAMING_SNAKE_CASE_							=       0
		SCREAMING_SNAKE_CASE_							=       len(lowerCAmelCase   ) - 1
		while left <= right:
				SCREAMING_SNAKE_CASE_							=       (left + right) // 2
				if left == right:
						if sorted_list[middle] < item:
								SCREAMING_SNAKE_CASE_							=       middle + 1
						break
				elif sorted_list[middle] < item:
						SCREAMING_SNAKE_CASE_							=       middle + 1
				else:
						SCREAMING_SNAKE_CASE_							=       middle - 1
		sorted_list.insert(lowerCAmelCase						,	lowerCAmelCase   )
		return sorted_list


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  Any:
		SCREAMING_SNAKE_CASE_							=       []
		while left and right:
				if left[0][0] < right[0][0]:
						result.append(left.pop(0   )   )
				else:
						result.append(right.pop(0   )   )
		return result + left + right


def 				_a       (				lowerCAmelCase   )->  List[str]:
		SCREAMING_SNAKE_CASE_							=       len(lowerCAmelCase   )
		if length <= 1:
				return list_ad
		SCREAMING_SNAKE_CASE_							=       length // 2
		return merge(sortlist_ad(list_ad[:middle]   )						,	sortlist_ad(list_ad[middle:]   )   )


def 				_a       (				lowerCAmelCase   )->  list[int]:

		if len(lowerCAmelCase   ) <= 1:
				return collection
		SCREAMING_SNAKE_CASE_							=       []
		SCREAMING_SNAKE_CASE_							=       False
		for i in range(0						,	len(lowerCAmelCase   )						,	2   ):
				if i == len(lowerCAmelCase   ) - 1:
						SCREAMING_SNAKE_CASE_							=       True
				else:
						if collection[i] < collection[i + 1]:
								two_paired_list.append([collection[i], collection[i + 1]]   )
						else:
								two_paired_list.append([collection[i + 1], collection[i]]   )
		SCREAMING_SNAKE_CASE_							=       sortlist_ad(lowerCAmelCase   )
		SCREAMING_SNAKE_CASE_							=       [i[0] for i in sorted_list_ad]
		result.append(sorted_list_ad[-1][1]   )
		if has_last_odd_item:
				SCREAMING_SNAKE_CASE_							=       collection[-1]
				SCREAMING_SNAKE_CASE_							=       binary_search_insertion(lowerCAmelCase						,	lowerCAmelCase   )
		SCREAMING_SNAKE_CASE_							=       False
		for i in range(len(lowerCAmelCase   ) - 1   ):
				if result[i] == collection[-1] and has_last_odd_item:
						SCREAMING_SNAKE_CASE_							=       True
				SCREAMING_SNAKE_CASE_							=       sorted_list_ad[i][1]
				# If last_odd_item is inserted before the item's index,
				# you should forward index one more.
				if is_last_odd_item_inserted_before_this_index:
						SCREAMING_SNAKE_CASE_							=       result[: i + 2] + binary_search_insertion(result[i + 2 :]						,	lowerCAmelCase   )
				else:
						SCREAMING_SNAKE_CASE_							=       result[: i + 1] + binary_search_insertion(result[i + 1 :]						,	lowerCAmelCase   )

		return result


if __name__ == "__main__":
						SCREAMING_SNAKE_CASE:    List[str]											=   input('''Enter numbers separated by a comma:\n''').strip()
						SCREAMING_SNAKE_CASE:    Any											=   [int(item) for item in user_input.split(''',''')]
						print(merge_insertion_sort(unsorted))