code: 
  
  
  import copy
  
  from ...configuration_utils import PretrainedConfig
  from ...utils import logging
  
  
  _SCREAMING_SNAKE_CASE    :				Dict       =					logging.get_logger(__name__)
  
  _SCREAMING_SNAKE_CASE    :				Tuple       =					{}
  
  class 						A__      (					snake_case__			):
  
  
  
  
  
  
  
      """simple docstring"""
  
      __magic_name__    						=	'fsmt_decoder'
      def __init__( self    ,      __snake_case=0    ,      __snake_case=0					):
           super().__init__()
           snake_case					=       vocab_size
           snake_case					=       bos_token_id
  
  
  
  
  
  
  class 						A__      (					snake_case__			):
  
  
  
  
  
  
  
      """simple docstring"""
  
      __magic_name__    						=	'fsmt'
      __magic_name__    						=	{'num_attention_heads': 'encoder_attention_heads', 'hidden_size': 'd_model'}
      def __init__( self    ,      __snake_case=["en", "de"]    ,      __snake_case=4_2_0_2_4    ,      __snake_case=4_2_0_2_4    ,      __snake_case="relu"    ,      __snake_case=1_0_2_4    ,      __snake_case=2_0_0    ,      __snake_case=1_0_2_4    ,      __snake_case=4_0_9_6    ,      __snake_case=1_2    ,      __snake_case=1_6    ,      __snake_case=0.0    ,      __snake_case=4_0_9_6    ,      __snake_case=1_2    ,      __snake_case=1_6    ,      __snake_case=0.0    ,      __snake_case=0.0    ,      __snake_case=0.1    ,      __snake_case=0.0    ,      __snake_case=0.02    ,      __snake_case=2    ,      __snake_case=True    ,      __snake_case=True    ,      __snake_case=False    ,      __snake_case=5    ,      __snake_case=1.0    ,      __snake_case=False    ,      __snake_case=True    ,      __snake_case=1    ,      __snake_case=0    ,      __snake_case=2    ,      __snake_case=2    ,      **__snake_case    ,      ):
           snake_case					=       langs
           snake_case					=       src_vocab_size
           snake_case					=       tgt_vocab_size
           snake_case					=       d_model  # encoder_embed_dim and decoder_embed_dim
  
           snake_case					=       encoder_ffn_dim
           snake_case					=       snake_case					=       encoder_layers
           snake_case					=       encoder_attention_heads
           snake_case					=       encoder_layerdrop
           snake_case					=       decoder_layerdrop
           snake_case					=       decoder_ffn_dim
           snake_case					=       decoder_layers
           snake_case					=       decoder_attention_heads
           snake_case					=       max_position_embeddings
           snake_case					=       init_std  # Normal(0, this parameter)
           snake_case					=       activation_function
  
           snake_case					=       DecoderConfig(vocab_size=__snake_case    ,      bos_token_id=__snake_case					)
           if "decoder" in common_kwargs:
                del common_kwargs["decoder"]
  
           snake_case					=       scale_embedding  # scale factor will be sqrt(d_model) if True
  
           # 3 Types of Dropout
           snake_case					=       attention_dropout
           snake_case					=       activation_dropout
           snake_case					=       dropout
  
           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					):
           snake_case					=       copy.deepcopy(self.__dict__					)
           snake_case					=       self.decoder.to_dict()
           snake_case					=       self.__class__.model_type
           return output
  
  
  
  
  
style_context: 
  
  
  from __future__ import annotations
  
  import random
  from collections.abc import Iterable
  
  class 						A__      :
  
  
  
  
  
  
  
      """simple docstring"""
  
      def __init__( self    ,      __snake_case					):
           snake_case					=       {literal: None for literal in literals}
      def __str__( self					):
           return "{" + " , ".join(self.literals					) + "}"
      def __len__( self					):
           return len(self.literals					)
      def 	a_    ( self    ,      __snake_case					):
           for literal in self.literals:
                snake_case					=       literal[:2]
                if symbol in model:
                     snake_case					=       model[symbol]
                else:
                     continue
                if value is not None:
                     # Complement assignment if literal is in complemented form
                     if literal.endswith('''\''''					):
                          snake_case					=       not value
                snake_case					=       value
  
  
  
  
      def 	a_    ( self    ,      __snake_case					):
           for literal in self.literals:
                snake_case					=       literal.rstrip('''\''''					) if literal.endswith('''\''''					) else literal + '''\''''
                if symbol in self.literals:
                     return True
  
           self.assign(__snake_case					)
           for value in self.literals.values():
                if value in (True, None):
                     return value
           return any(self.literals.values()					)
  
  
  
  
  
  
  class 						A__      :
  
  
  
  
  
  
  
      """simple docstring"""
  
      def __init__( self    ,      __snake_case					):
           snake_case					=       list(__snake_case					)
  
  
  
  
      def __str__( self					):
           return "{" + " , ".join(str(__snake_case					) for clause in self.clauses					) + "}"
  
  
  
  
  
  
  def     UpperCAmelCase__		():
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       []
       snake_case					=       random.randint(1							,5       )
       snake_case					=       '''A'''
       snake_case					=       0
       while i < no_of_literals:
            snake_case					=       random.randint(1							,5       )
            snake_case					=       base_var + str(UpperCamelCase_       )
            snake_case					=       random.randint(0							,1       )
            if var_complement == 1:
                 var_name += "'"
            if var_name in literals:
                 i -= 1
            else:
                 literals.append(UpperCamelCase_       )
            i += 1
       return Clause(UpperCamelCase_       )
  def     UpperCAmelCase__		():
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       set()
       snake_case					=       random.randint(1							,10       )
       while len(UpperCamelCase_       ) < no_of_clauses:
            clauses.add(generate_clause()       )
       return Formula(UpperCamelCase_       )
  def     UpperCAmelCase__		(UpperCamelCase_       ):
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       formula.clauses
       snake_case					=       []
       for clause in formula.clauses:
            for literal in clause.literals:
                 snake_case					=       literal[:2]
                 if symbol not in symbols_set:
                      symbols_set.append(UpperCamelCase_       )
       return clauses, symbols_set
  def     UpperCAmelCase__		(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       ):
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       []
       snake_case					=       {}
       snake_case					=       []
  
       for clause in clauses:
            if clause.evaluate(UpperCamelCase_       ):
                 continue
            for literal in clause.literals:
                 literals.append(UpperCamelCase_       )
  
       for s in symbols:
            snake_case					=       s + '''\''''
            if (s in literals and sym not in literals) or (
                s not in literals and sym in literals
            ):
                 pure_symbols.append(UpperCamelCase_       )
       for p in pure_symbols:
            snake_case					=       None
       for s in pure_symbols:
            snake_case					=       s + '''\''''
            if s in literals:
                 snake_case					=       True
            elif sym in literals:
                 snake_case					=       False
       return pure_symbols, assignment
  def     UpperCAmelCase__		(UpperCamelCase_							,UpperCamelCase_       ):
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       []
       for clause in clauses:
            if len(UpperCamelCase_       ) == 1:
                 unit_symbols.append(list(clause.literals.keys()       )[0]       )
            else:
                 snake_case				,						snake_case					=       0, 0
                 for literal, value in clause.literals.items():
                      if value is False:
                           f_count += 1
                      elif value is None:
                           snake_case					=       literal
                           n_count += 1
                 if f_count == len(UpperCamelCase_       ) - 1 and n_count == 1:
                      unit_symbols.append(UpperCamelCase_       )
       snake_case					=       {}
       for i in unit_symbols:
            snake_case					=       i[:2]
            snake_case					=       len(UpperCamelCase_       ) == 2
       snake_case					=       [i[:2] for i in unit_symbols]
  
       return unit_symbols, assignment
  def     UpperCAmelCase__		(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       ):
  
  
  
       """simple docstring"""
  
  
  
  
  
  
       snake_case					=       True
       for clause in clauses:
            snake_case					=       clause.evaluate(UpperCamelCase_       )
            if clause_check is False:
                 return False, None
            elif clause_check is None:
                 snake_case					=       False
                 continue
  
       if check_clause_all_true:
            return True, model
  
       try:
            snake_case				,						snake_case					=       find_pure_symbols(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       )
       except RecursionError:
            print('''raises a RecursionError and is'''       )
            return None, {}
       snake_case					=       None
       if len(UpperCamelCase_       ) > 0:
            snake_case				,						snake_case					=       pure_symbols[0], assignment[pure_symbols[0]]
  
       if p:
            snake_case					=       model
            snake_case					=       value
            snake_case					=       list(UpperCamelCase_       )
            if p in tmp_symbols:
                 tmp_symbols.remove(UpperCamelCase_       )
            return dpll_algorithm(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       )
  
       snake_case				,						snake_case					=       find_unit_clauses(UpperCamelCase_							,UpperCamelCase_       )
       snake_case					=       None
       if len(UpperCamelCase_       ) > 0:
            snake_case				,						snake_case					=       unit_symbols[0], assignment[unit_symbols[0]]
       if p:
            snake_case					=       model
            snake_case					=       value
            snake_case					=       list(UpperCamelCase_       )
            if p in tmp_symbols:
                 tmp_symbols.remove(UpperCamelCase_       )
            return dpll_algorithm(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       )
       snake_case					=       symbols[0]
       snake_case					=       symbols[1:]
       snake_case				,						snake_case					=       model, model
       snake_case				,						snake_case					=       True, False
  
       return dpll_algorithm(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       ) or dpll_algorithm(UpperCamelCase_							,UpperCamelCase_							,UpperCamelCase_       )
  
  
  if __name__ == "__main__":
   import doctest
  
   doctest.testmod()
  
   _SCREAMING_SNAKE_CASE    :				Dict       =					generate_formula()
   print(f'''The formula {formula} is''', end=" ")
  
   _SCREAMING_SNAKE_CASE   ,     _SCREAMING_SNAKE_CASE    :				Any       =					generate_parameters(formula)
   _SCREAMING_SNAKE_CASE   ,     _SCREAMING_SNAKE_CASE    :				Optional[Any]       =					dpll_algorithm(clauses, symbols, {})
  
   if solution:
    print(f'''satisfiable with the assignment {model}.''')
   else:
    print("not satisfiable.")
  
  
  
  
  