



'''simple docstring'''





from __future__ import annotations

import random
from collections.abc import Iterable


class 							_lowerCAmelCase	:


 """simple docstring"""

 def __init__(      self					,    _lowerCamelCase  )    ->    None:
    A_  :		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       UpperCAmelCase_       (      self					,    _lowerCamelCase  )    ->    None:
    for literal in self.literals:
       A_  :		Optional[int]						=					literal[:2]
       if symbol in model:
          A_  :		Any						=					model[symbol]
       else:
          continue
       if value is not None:
          # Complement assignment if literal is in complemented form
          if literal.endswith("""'"""  ):
             A_  :		List[Any]						=					not value
       A_  :		List[Any]						=					value







 def       UpperCAmelCase_       (      self					,    _lowerCamelCase  )    ->    bool | None:
    for literal in self.literals:
       A_  :		List[Any]						=					literal.rstrip("""'"""  ) if literal.endswith("""'"""  ) else literal + """'"""
       if symbol in self.literals:
          return True

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


class 							_lowerCAmelCase	:


 """simple docstring"""

 def __init__(      self					,    _lowerCamelCase  )    ->    None:
    A_  :		List[Any]						=					list(_lowerCamelCase  )







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



def     UpperCAmelCase     (    )   ->       Clause:



   """simple docstring"""






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



def     UpperCAmelCase     (    )   ->       Formula:



   """simple docstring"""






   A_  :		set[Clause]						=					set()
   A_  :		str						=					random.randint(1      ,		1_0		)
   while len(a_		) < no_of_clauses:
      clauses.add(generate_clause()		)
   return Formula(a_		)



def     UpperCAmelCase     (    a_		)   ->       tuple[list[Clause], list[str]]:



   """simple docstring"""






   A_  :		Optional[int]						=					formula.clauses
   A_  :		Optional[Any]						=					[]
   for clause in formula.clauses:
      for literal in clause.literals:
         A_  :		Any						=					literal[:2]
         if symbol not in symbols_set:
            symbols_set.append(a_		)
   return clauses, symbols_set



def     UpperCAmelCase     (    a_      ,		a_      ,		a_		)   ->       tuple[list[str], dict[str, bool | None]]:



   """simple docstring"""






   A_  :		Dict						=					[]
   A_  :		dict[str, bool | None]						=					{}
   A_  :		Optional[Any]						=					[]

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

   for s in symbols:
      A_  :		Union[str, Any]						=					s + """'"""
      if (s in literals and sym not in literals) or (
          s not in literals and sym in literals
      ):
         pure_symbols.append(a_		)
   for p in pure_symbols:
      A_  :		Optional[Any]						=					None
   for s in pure_symbols:
      A_  :		Optional[int]						=					s + """'"""
      if s in literals:
         A_  :		Union[str, Any]						=					True
      elif sym in literals:
         A_  :		Dict						=					False
   return pure_symbols, assignment



def     UpperCAmelCase     (    a_      ,		a_		)   ->       tuple[list[str], dict[str, bool | None]]:



   """simple docstring"""






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

   return unit_symbols, assignment



def     UpperCAmelCase     (    a_      ,		a_      ,		a_		)   ->       tuple[bool | None, dict[str, bool | None] | None]:



   """simple docstring"""






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

   if check_clause_all_true:
      return True, model

   try:
      A_						,  A_  :		Tuple						=					find_pure_symbols(a_      ,		a_      ,		a_		)
   except RecursionError:
      print("""raises a RecursionError and is"""		)
      return None, {}
   A_  :		Any						=					None
   if len(a_		) > 0:
      A_						,  A_  :		Optional[int]						=					pure_symbols[0], assignment[pure_symbols[0]]

   if p:
      A_  :		int						=					model
      A_  :		Optional[int]						=					value
      A_  :		Dict						=					list(a_		)
      if p in tmp_symbols:
         tmp_symbols.remove(a_		)
      return dpll_algorithm(a_      ,		a_      ,		a_		)

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

   return dpll_algorithm(a_      ,		a_      ,		a_		) or dpll_algorithm(a_      ,		a_      ,		a_		)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  UpperCamelCase__    :     Optional[Any]			  =   generate_formula()
  print(f'The formula {formula} is', end=' ')

  UpperCamelCase__  ,				UpperCamelCase__    :     Optional[int]			  =   generate_parameters(formula)
  UpperCamelCase__  ,				UpperCamelCase__    :     Dict			  =   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_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


UpperCamelCase__    :     List[Any]			  =   {
    'configuration_layoutlm': ['LAYOUTLM_PRETRAINED_CONFIG_ARCHIVE_MAP', 'LayoutLMConfig', 'LayoutLMOnnxConfig'],
    'tokenization_layoutlm': ['LayoutLMTokenizer'],
}

try:
  if not is_tokenizers_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__    :     Any			  =   ['LayoutLMTokenizerFast']

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__    :     Optional[Any]			  =   [
      'LAYOUTLM_PRETRAINED_MODEL_ARCHIVE_LIST',
      'LayoutLMForMaskedLM',
      'LayoutLMForSequenceClassification',
      'LayoutLMForTokenClassification',
      'LayoutLMForQuestionAnswering',
      'LayoutLMModel',
      'LayoutLMPreTrainedModel',
  ]

try:
  if not is_tf_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__    :     str			  =   [
      'TF_LAYOUTLM_PRETRAINED_MODEL_ARCHIVE_LIST',
      'TFLayoutLMForMaskedLM',
      'TFLayoutLMForSequenceClassification',
      'TFLayoutLMForTokenClassification',
      'TFLayoutLMForQuestionAnswering',
      'TFLayoutLMMainLayer',
      'TFLayoutLMModel',
      'TFLayoutLMPreTrainedModel',
  ]


if TYPE_CHECKING:
  from .configuration_layoutlm import LAYOUTLM_PRETRAINED_CONFIG_ARCHIVE_MAP, LayoutLMConfig, LayoutLMOnnxConfig
  from .tokenization_layoutlm import LayoutLMTokenizer

  try:
    if not is_tokenizers_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .tokenization_layoutlm_fast import LayoutLMTokenizerFast

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_layoutlm import (
        LAYOUTLM_PRETRAINED_MODEL_ARCHIVE_LIST,
        LayoutLMForMaskedLM,
        LayoutLMForQuestionAnswering,
        LayoutLMForSequenceClassification,
        LayoutLMForTokenClassification,
        LayoutLMModel,
        LayoutLMPreTrainedModel,
    )
  try:
    if not is_tf_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_tf_layoutlm import (
        TF_LAYOUTLM_PRETRAINED_MODEL_ARCHIVE_LIST,
        TFLayoutLMForMaskedLM,
        TFLayoutLMForQuestionAnswering,
        TFLayoutLMForSequenceClassification,
        TFLayoutLMForTokenClassification,
        TFLayoutLMMainLayer,
        TFLayoutLMModel,
        TFLayoutLMPreTrainedModel,
    )

else:
  import sys

  UpperCamelCase__    :     List[str]			  =   _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
