



from __future__ import annotations

import random
from collections.abc import Iterable



class        lowerCAmelCase_	:
       def __init__(    self,    SCREAMING_SNAKE_CASE_ )  ->	None:
          UpperCamelCase					:						dict[str, bool | None]					=			{literal: None for literal in literals}
       def __str__(    self )  ->	str:
          return "{" + " , ".join(self.literals ) + "}"
       def __len__(    self )  ->	int:
          return len(self.literals )
       def       snake_case_ (    self,    SCREAMING_SNAKE_CASE_ )  ->	None:
          for literal in self.literals:
             UpperCamelCase					:						Tuple					=			literal[:2]
             if symbol in model:
                UpperCamelCase					:						List[str]					=			model[symbol]
             else:
                continue
             if value is not None:
                # Complement assignment if literal is in complemented form
                if literal.endswith('\'' ):
                   UpperCamelCase					:						List[str]					=			not value
             UpperCamelCase					:						Dict					=			value






       def       snake_case_ (    self,    SCREAMING_SNAKE_CASE_ )  ->	bool | None:
          for literal in self.literals:
             UpperCamelCase					:						Any					=			literal.rstrip('\'' ) if literal.endswith('\'' ) else literal + '\''
             if symbol in self.literals:
                return True

          self.assign(SCREAMING_SNAKE_CASE_ )
          for value in self.literals.values():
             if value in (True, None):
                return value
          return any(self.literals.values() )






class        lowerCAmelCase_	:
       def __init__(    self,    SCREAMING_SNAKE_CASE_ )  ->	None:
          UpperCamelCase					:						Union[str, Any]					=			list(SCREAMING_SNAKE_CASE_ )






       def __str__(    self )  ->	str:
          return "{" + " , ".join(str(SCREAMING_SNAKE_CASE_ ) for clause in self.clauses ) + "}"






def 	UpperCamelCase			(     )			->  Clause:
   UpperCamelCase					:						List[Any]					=			[]
   UpperCamelCase					:						Dict					=			random.randint(1 ,  5			)
   UpperCamelCase					:						Any					=			'A'
   UpperCamelCase					:						List[str]					=			0
   while i < no_of_literals:
      UpperCamelCase					:						str					=			random.randint(1 ,  5			)
      UpperCamelCase					:						int					=			base_var + str(snake_case__			)
      UpperCamelCase					:						str					=			random.randint(0 ,  1			)
      if var_complement == 1:
         var_name += "'"
      if var_name in literals:
         i -= 1
      else:
         literals.append(snake_case__			)
      i += 1
   return Clause(snake_case__			)
def 	UpperCamelCase			(     )			->  Formula:
   UpperCamelCase					:						set[Clause]					=			set()
   UpperCamelCase					:						List[str]					=			random.randint(1 ,  10			)
   while len(snake_case__			) < no_of_clauses:
      clauses.add(generate_clause()			)
   return Formula(snake_case__			)
def 	UpperCamelCase			(     snake_case__ :					Formula			)			->  tuple[list[Clause], list[str]]:
   UpperCamelCase					:						List[Any]					=			formula.clauses
   UpperCamelCase					:						List[Any]					=			[]
   for clause in formula.clauses:
      for literal in clause.literals:
         UpperCamelCase					:						str					=			literal[:2]
         if symbol not in symbols_set:
            symbols_set.append(snake_case__			)
   return clauses, symbols_set
def 	UpperCamelCase			(     snake_case__ :					list[Clause] ,  snake_case__ :					list[str] ,  snake_case__ :					dict[str, bool | None]			)			->  tuple[list[str], dict[str, bool | None]]:
   UpperCamelCase					:						Any					=			[]
   UpperCamelCase					:						dict[str, bool | None]					=			{}
   UpperCamelCase					:						str					=			[]

   for clause in clauses:
      if clause.evaluate(snake_case__			):
         continue
      for literal in clause.literals:
         literals.append(snake_case__			)

   for s in symbols:
      UpperCamelCase					:						str					=			s + '\''
      if (s in literals and sym not in literals) or (
          s not in literals and sym in literals
      ):
         pure_symbols.append(snake_case__			)
   for p in pure_symbols:
      UpperCamelCase					:						List[str]					=			None
   for s in pure_symbols:
      UpperCamelCase					:						Optional[int]					=			s + '\''
      if s in literals:
         UpperCamelCase					:						List[str]					=			True
      elif sym in literals:
         UpperCamelCase					:						Union[str, Any]					=			False
   return pure_symbols, assignment
def 	UpperCamelCase			(     snake_case__ :					list[Clause] ,  snake_case__ :					dict[str, bool | None]			)			->  tuple[list[str], dict[str, bool | None]]:
   UpperCamelCase					:						Any					=			[]
   for clause in clauses:
      if len(snake_case__			) == 1:
         unit_symbols.append(list(clause.literals.keys()			)[0]			)
      else:
         UpperCamelCase			,  UpperCamelCase					:						Optional[int]					=			0, 0
         for literal, value in clause.literals.items():
            if value is False:
               f_count += 1
            elif value is None:
               UpperCamelCase					:						int					=			literal
               n_count += 1
         if f_count == len(snake_case__			) - 1 and n_count == 1:
            unit_symbols.append(snake_case__			)
   UpperCamelCase					:						dict[str, bool | None]					=			{}
   for i in unit_symbols:
      UpperCamelCase					:						List[str]					=			i[:2]
      UpperCamelCase					:						Optional[Any]					=			len(snake_case__			) == 2
   UpperCamelCase					:						Tuple					=			[i[:2] for i in unit_symbols]

   return unit_symbols, assignment
def 	UpperCamelCase			(     snake_case__ :					list[Clause] ,  snake_case__ :					list[str] ,  snake_case__ :					dict[str, bool | None]			)			->  tuple[bool | None, dict[str, bool | None] | None]:
   UpperCamelCase					:						Optional[Any]					=			True
   for clause in clauses:
      UpperCamelCase					:						Tuple					=			clause.evaluate(snake_case__			)
      if clause_check is False:
         return False, None
      elif clause_check is None:
         UpperCamelCase					:						Any					=			False
         continue

   if check_clause_all_true:
      return True, model

   try:
      UpperCamelCase			,  UpperCamelCase					:						Dict					=			find_pure_symbols(snake_case__ ,  snake_case__ ,  snake_case__			)
   except RecursionError:
      print('raises a RecursionError and is'			)
      return None, {}
   UpperCamelCase					:						Tuple					=			None
   if len(snake_case__			) > 0:
      UpperCamelCase			,  UpperCamelCase					:						Any					=			pure_symbols[0], assignment[pure_symbols[0]]

   if p:
      UpperCamelCase					:						int					=			model
      UpperCamelCase					:						List[str]					=			value
      UpperCamelCase					:						Tuple					=			list(snake_case__			)
      if p in tmp_symbols:
         tmp_symbols.remove(snake_case__			)
      return dpll_algorithm(snake_case__ ,  snake_case__ ,  snake_case__			)

   UpperCamelCase			,  UpperCamelCase					:						int					=			find_unit_clauses(snake_case__ ,  snake_case__			)
   UpperCamelCase					:						List[Any]					=			None
   if len(snake_case__			) > 0:
      UpperCamelCase			,  UpperCamelCase					:						int					=			unit_symbols[0], assignment[unit_symbols[0]]
   if p:
      UpperCamelCase					:						Optional[int]					=			model
      UpperCamelCase					:						str					=			value
      UpperCamelCase					:						Union[str, Any]					=			list(snake_case__			)
      if p in tmp_symbols:
         tmp_symbols.remove(snake_case__			)
      return dpll_algorithm(snake_case__ ,  snake_case__ ,  snake_case__			)
   UpperCamelCase					:						List[Any]					=			symbols[0]
   UpperCamelCase					:						Optional[Any]					=			symbols[1:]
   UpperCamelCase			,  UpperCamelCase					:						int					=			model, model
   UpperCamelCase			,  UpperCamelCase					:						Optional[int]					=			True, False

   return dpll_algorithm(snake_case__ ,  snake_case__ ,  snake_case__			) or dpll_algorithm(snake_case__ ,  snake_case__ ,  snake_case__			)


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    __UpperCAmelCase      = generate_formula()
    print(F"""The formula {formula} is""", end=''' ''')

    __UpperCAmelCase     ,						__UpperCAmelCase      = generate_parameters(formula)
    __UpperCAmelCase     ,						__UpperCAmelCase      = dpll_algorithm(clauses, symbols, {})

    if solution:
        print(F"""satisfiable with the assignment {model}.""")
    else:
        print('''not satisfiable.''')








from typing import Optional, Tuple

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import logging
from .tokenization_openai import OpenAIGPTTokenizer


__UpperCAmelCase      = logging.get_logger(__name__)

__UpperCAmelCase      = {'''vocab_file''': '''vocab.json''', '''merges_file''': '''merges.txt''', '''tokenizer_file''': '''tokenizer.json'''}

__UpperCAmelCase      = {
    '''vocab_file''': {'''openai-gpt''': '''https://huggingface.co/openai-gpt/resolve/main/vocab.json'''},
    '''merges_file''': {'''openai-gpt''': '''https://huggingface.co/openai-gpt/resolve/main/merges.txt'''},
    '''tokenizer_file''': {'''openai-gpt''': '''https://huggingface.co/openai-gpt/resolve/main/tokenizer.json'''},
}

__UpperCAmelCase      = {
    '''openai-gpt''': 512,
}



class        lowerCAmelCase_	(						a__							):
       UpperCAmelCase__       :      Union[str, Any]       =						VOCAB_FILES_NAMES
       UpperCAmelCase__       :      int       =						PRETRAINED_VOCAB_FILES_MAP
       UpperCAmelCase__       :      Optional[int]       =						PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
       UpperCAmelCase__       :      Optional[int]       =						["input_ids", "attention_mask"]
       UpperCAmelCase__       :      Tuple       =						OpenAIGPTTokenizer
       def __init__(    self,    SCREAMING_SNAKE_CASE_=None,    SCREAMING_SNAKE_CASE_=None,    SCREAMING_SNAKE_CASE_=None,    SCREAMING_SNAKE_CASE_="<unk>",    **SCREAMING_SNAKE_CASE_ )  ->	List[str]:
          super().__init__(SCREAMING_SNAKE_CASE_,    SCREAMING_SNAKE_CASE_,    tokenizer_file=SCREAMING_SNAKE_CASE_,    unk_token=SCREAMING_SNAKE_CASE_,    **SCREAMING_SNAKE_CASE_ )
       @property
       def       snake_case_ (    self )  ->	Dict:
          return True






       def       snake_case_ (    self,    SCREAMING_SNAKE_CASE_,    SCREAMING_SNAKE_CASE_ = None )  ->	Tuple[str]:
          UpperCamelCase					:						List[Any]					=			self._tokenizer.model.save(SCREAMING_SNAKE_CASE_,    name=SCREAMING_SNAKE_CASE_ )
          return tuple(SCREAMING_SNAKE_CASE_ )



