





'''simple docstring'''

from __future__ import annotations

import random
from collections.abc import Iterable





class lowerCamelCase    :







  def __init__(		self  ,  lowercase__		)		->    None:






        """simple docstring"""





        _snake_case		:						dict[str, bool | None]         =  {literal: None for literal in literals}







  def __str__(		self		)		->    str:






        """simple docstring"""





        return "{" + " , ".join(self.literals		) + "}"







  def __len__(		self		)		->    int:






        """simple docstring"""





        return len(self.literals		)







  def 					UpperCAmelCase_					(		self  ,  lowercase__		)		->    None:






        """simple docstring"""





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







  def 					UpperCAmelCase_					(		self  ,  lowercase__		)		->    bool | None:






        """simple docstring"""





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

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





class lowerCamelCase    :







  def __init__(		self  ,  lowercase__		)		->    None:






        """simple docstring"""





        _snake_case		:						Optional[int]         =  list(lowercase__		)







  def __str__(		self		)		->    str:






        """simple docstring"""





        return "{" + " , ".join(str(lowercase__		) for clause in self.clauses		) + "}"




def  _a     (				):





      """simple docstring"""



      _snake_case		:						Tuple         =  []
      _snake_case		:						List[str]         =  random.randint(1      ,   5						)
      _snake_case		:						Dict         =  '''A'''
      _snake_case		:						Dict         =  0
      while i < no_of_literals:
            _snake_case		:						List[str]         =  random.randint(1      ,   5						)
            _snake_case		:						int         =  base_var + str(lowerCAmelCase_						)
            _snake_case		:						Union[str, Any]         =  random.randint(0      ,   1						)
            if var_complement == 1:
                  var_name += "'"
            if var_name in literals:
                  i -= 1
            else:
                  literals.append(lowerCAmelCase_						)
            i += 1
      return Clause(lowerCAmelCase_						)




def  _a     (				):





      """simple docstring"""



      _snake_case		:						set[Clause]         =  set()
      _snake_case		:						int         =  random.randint(1      ,   10						)
      while len(lowerCAmelCase_						) < no_of_clauses:
            clauses.add(generate_clause()						)
      return Formula(lowerCAmelCase_						)




def  _a     (				lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						Optional[Any]         =  formula.clauses
      _snake_case		:						Union[str, Any]         =  []
      for clause in formula.clauses:
            for literal in clause.literals:
                  _snake_case		:						List[str]         =  literal[:2]
                  if symbol not in symbols_set:
                        symbols_set.append(lowerCAmelCase_						)
      return clauses, symbols_set




def  _a     (				lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						Any         =  []
      _snake_case		:						dict[str, bool | None]         =  {}
      _snake_case		:						Any         =  []

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

      for s in symbols:
            _snake_case		:						int         =  s + '''\''''
            if (s in literals and sym not in literals) or (
                s not in literals and sym in literals
            ):
                  pure_symbols.append(lowerCAmelCase_						)
      for p in pure_symbols:
            _snake_case		:						Dict         =  None
      for s in pure_symbols:
            _snake_case		:						Tuple         =  s + '''\''''
            if s in literals:
                  _snake_case		:						str         =  True
            elif sym in literals:
                  _snake_case		:						Any         =  False
      return pure_symbols, assignment




def  _a     (				lowerCAmelCase_      ,   lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						int         =  []
      for clause in clauses:
            if len(lowerCAmelCase_						) == 1:
                  unit_symbols.append(list(clause.literals.keys()						)[0]						)
            else:
                  _snake_case  ,				_snake_case		:						Any         =  0, 0
                  for literal, value in clause.literals.items():
                        if value is False:
                              f_count += 1
                        elif value is None:
                              _snake_case		:						Optional[Any]         =  literal
                              n_count += 1
                  if f_count == len(lowerCAmelCase_						) - 1 and n_count == 1:
                        unit_symbols.append(lowerCAmelCase_						)
      _snake_case		:						dict[str, bool | None]         =  {}
      for i in unit_symbols:
            _snake_case		:						Optional[Any]         =  i[:2]
            _snake_case		:						Any         =  len(lowerCAmelCase_						) == 2
      _snake_case		:						int         =  [i[:2] for i in unit_symbols]

      return unit_symbols, assignment




def  _a     (				lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						):





      """simple docstring"""



      _snake_case		:						str         =  True
      for clause in clauses:
            _snake_case		:						List[str]         =  clause.evaluate(lowerCAmelCase_						)
            if clause_check is False:
                  return False, None
            elif clause_check is None:
                  _snake_case		:						Union[str, Any]         =  False
                  continue

      if check_clause_all_true:
            return True, model

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

      if p:
            _snake_case		:						Optional[Any]         =  model
            _snake_case		:						Dict         =  value
            _snake_case		:						Optional[Any]         =  list(lowerCAmelCase_						)
            if p in tmp_symbols:
                  tmp_symbols.remove(lowerCAmelCase_						)
            return dpll_algorithm(lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						)

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

      return dpll_algorithm(lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						) or dpll_algorithm(lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						)


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   UpperCAmelCase       :		Any		=				generate_formula()
   print(F"""The formula {formula} is""", end=' ')

   UpperCAmelCase,							UpperCAmelCase       :		int		=				generate_parameters(formula)
   UpperCAmelCase,							UpperCAmelCase       :		Optional[Any]		=				dpll_algorithm(clauses, symbols, {})

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









'''simple docstring'''

from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_sentencepiece_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


UpperCAmelCase       :		Dict		=				{
    'configuration_marian': ['MARIAN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'MarianConfig', 'MarianOnnxConfig'],
}

try:
   if not is_sentencepiece_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   UpperCAmelCase       :		Tuple		=				['MarianTokenizer']

try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   UpperCAmelCase       :		List[str]		=				[
       'MARIAN_PRETRAINED_MODEL_ARCHIVE_LIST',
       'MarianForCausalLM',
       'MarianModel',
       'MarianMTModel',
       'MarianPreTrainedModel',
   ]

try:
   if not is_tf_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   UpperCAmelCase       :		Any		=				['TFMarianModel', 'TFMarianMTModel', 'TFMarianPreTrainedModel']

try:
   if not is_flax_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   UpperCAmelCase       :		Optional[Any]		=				['FlaxMarianModel', 'FlaxMarianMTModel', 'FlaxMarianPreTrainedModel']

if TYPE_CHECKING:
   from .configuration_marian import MARIAN_PRETRAINED_CONFIG_ARCHIVE_MAP, MarianConfig, MarianOnnxConfig

   try:
      if not is_sentencepiece_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .tokenization_marian import MarianTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_marian import (
          MARIAN_PRETRAINED_MODEL_ARCHIVE_LIST,
          MarianForCausalLM,
          MarianModel,
          MarianMTModel,
          MarianPreTrainedModel,
      )

   try:
      if not is_tf_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_tf_marian import TFMarianModel, TFMarianMTModel, TFMarianPreTrainedModel

   try:
      if not is_flax_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_flax_marian import FlaxMarianModel, FlaxMarianMTModel, FlaxMarianPreTrainedModel

else:
   import sys

   UpperCAmelCase       :		int		=				_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)


