


"""simple docstring"""






from __future__ import annotations

import random
from collections.abc import Iterable


class 	A_       :





  """simple docstring"""

  def __init__(						self  ,					__UpperCAmelCase						)				->					str:
     a   :	dict[str, bool | None]						=    {literal: None for literal in literals}
  def __str__(						self						)				->					Union[str, Any]:
     return "{" + " , ".join(self.literals						) + "}"
  def __len__(						self						)				->					Tuple:
     return len(self.literals						)
  def 							lowercase_     (						self  ,					__UpperCAmelCase						)				->					List[Any]:







     for literal in self.literals:
        a   :	Tuple						=    literal[:2]
        if symbol in model:
           a   :	Optional[int]						=    model[symbol]
        else:
           continue
        if value is not None:
           # Complement assignment if literal is in complemented form
           if literal.endswith('\''						):
              a   :	int						=    not value
        a   :	List[str]						=    value






  def 							lowercase_     (						self  ,					__UpperCAmelCase						)				->					List[Any]:







     for literal in self.literals:
        a   :	Any						=    literal.rstrip('\''						) if literal.endswith('\''						) else literal + '\''
        if symbol in self.literals:
           return True

     self.assign(__UpperCAmelCase						)
     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  ,					__UpperCAmelCase						)				->					List[Any]:
     a   :	Tuple						=    list(__UpperCAmelCase						)






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




def        A_					(					)     ->     Union[str, Any]:
   a   :	str						=    []
   a   :	Tuple						=    random.randint(1       ,   5				)
   a   :	str						=    'A'
   a   :	Any						=    0
   while i < no_of_literals:
      a   :	Dict						=    random.randint(1       ,   5				)
      a   :	Optional[Any]						=    base_var + str(UpperCAmelCase__				)
      a   :	Tuple						=    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        A_					(					)     ->     Optional[int]:
   a   :	set[Clause]						=    set()
   a   :	str						=    random.randint(1       ,   10				)
   while len(UpperCAmelCase__				) < no_of_clauses:
      clauses.add(generate_clause()				)
   return Formula(UpperCAmelCase__				)




def        A_					(					UpperCAmelCase__				)     ->     str:
   a   :	Optional[int]						=    formula.clauses
   a   :	int						=    []
   for clause in formula.clauses:
      for literal in clause.literals:
         a   :	Tuple						=    literal[:2]
         if symbol not in symbols_set:
            symbols_set.append(UpperCAmelCase__				)
   return clauses, symbols_set




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     Union[str, Any]:
   a   :	List[str]						=    []
   a   :	dict[str, bool | None]						=    {}
   a   :	Tuple						=    []

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

   for s in symbols:
      a   :	Optional[Any]						=    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:
      a   :	str						=    None
   for s in pure_symbols:
      a   :	List[str]						=    s + '\''
      if s in literals:
         a   :	Any						=    True
      elif sym in literals:
         a   :	str						=    False
   return pure_symbols, assignment




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     Dict:
   a   :	Union[str, Any]						=    []
   for clause in clauses:
      if len(UpperCAmelCase__				) == 1:
         unit_symbols.append(list(clause.literals.keys()				)[0]				)
      else:
         a   :	Tuple						=    0, 0
         for literal, value in clause.literals.items():
            if value is False:
               f_count += 1
            elif value is None:
               a   :	Tuple						=    literal
               n_count += 1
         if f_count == len(UpperCAmelCase__				) - 1 and n_count == 1:
            unit_symbols.append(UpperCAmelCase__				)
   a   :	dict[str, bool | None]						=    {}
   for i in unit_symbols:
      a   :	Dict						=    i[:2]
      a   :	str						=    len(UpperCAmelCase__				) == 2
   a   :	List[str]						=    [i[:2] for i in unit_symbols]

   return unit_symbols, assignment




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     int:
   a   :	Union[str, Any]						=    True
   for clause in clauses:
      a   :	List[str]						=    clause.evaluate(UpperCAmelCase__				)
      if clause_check is False:
         return False, None
      elif clause_check is None:
         a   :	Dict						=    False
         continue

   if check_clause_all_true:
      return True, model

   try:
      a   :	List[Any]						=    find_pure_symbols(UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)
   except RecursionError:
      print('raises a RecursionError and is'				)
      return None, {}
   a   :	Optional[Any]						=    None
   if len(UpperCAmelCase__				) > 0:
      a   :	Union[str, Any]						=    pure_symbols[0], assignment[pure_symbols[0]]

   if p:
      a   :	Dict						=    model
      a   :	Tuple						=    value
      a   :	List[Any]						=    list(UpperCAmelCase__				)
      if p in tmp_symbols:
         tmp_symbols.remove(UpperCAmelCase__				)
      return dpll_algorithm(UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)

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

   return dpll_algorithm(UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				) or dpll_algorithm(UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 SCREAMING_SNAKE_CASE__				:  Union[str, Any]						= generate_formula()
 print(F'The formula {formula} is', end=" ")

 SCREAMING_SNAKE_CASE__				:  str						= generate_parameters(formula)
 SCREAMING_SNAKE_CASE__				:  Union[str, Any]						= dpll_algorithm(clauses, symbols, {})

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










'''simple docstring'''







import warnings

from ...utils import logging
from .image_processing_maskformer import MaskFormerImageProcessor


SCREAMING_SNAKE_CASE__     : Dict				=   logging.get_logger(__name__)




class 				__lowerCAmelCase(							lowerCAmelCase__      ):






			def __init__(   self  :							List[Any]      ,       *SCREAMING_SNAKE_CASE  :							int      ,       **SCREAMING_SNAKE_CASE  :							Optional[int]	):




					"""simple docstring"""







					warnings.warn(
					    'The class MaskFormerFeatureExtractor is deprecated and will be removed in version 5 of Transformers.'
					    ' Please use MaskFormerImageProcessor instead.'      ,       SCREAMING_SNAKE_CASE      ,       )
					super().__init__(*SCREAMING_SNAKE_CASE      ,       **SCREAMING_SNAKE_CASE	)
