




from __future__ import annotations

import random
from collections.abc import Iterable
class      _UpperCamelCase :
      def __init__(     self				:Optional[Any]	, lowerCamelCase				:list[str] )       ->     None:
       UpperCAmelCase__								=  {literal: None for literal in literals}
      def __str__(     self				:List[str] )       ->     str:
       return "{" + " , ".join(self.literals ) + "}"
      def __len__(     self				:List[Any] )       ->     int:
       return len(self.literals )
      def 		UpperCAmelCase_  (     self				:List[Any]	, lowerCamelCase				:dict[str, bool | None] )       ->     None:
       for literal in self.literals:
        UpperCAmelCase__								=  literal[:2]
        if symbol in model:
         UpperCAmelCase__								=  model[symbol]
        else:
         continue
        if value is not None:
         # Complement assignment if literal is in complemented form
         if literal.endswith("'" ):
          UpperCAmelCase__								=  not value
        UpperCAmelCase__								=  value







      def 		UpperCAmelCase_  (     self				:int	, lowerCamelCase				:dict[str, bool | None] )       ->     bool | None:
       for literal in self.literals:
        UpperCAmelCase__								=  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      _UpperCamelCase :
      def __init__(     self				:Any	, lowerCamelCase				:Iterable[Clause] )       ->     None:
       UpperCAmelCase__								=  list(lowerCamelCase )







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



def   lowerCAmelCase						(						):




 """simple docstring"""







 UpperCAmelCase__								=  []
 UpperCAmelCase__								=  random.randint(1  ,							5		)
 UpperCAmelCase__								=  "A"
 UpperCAmelCase__								=  0
 while i < no_of_literals:
  UpperCAmelCase__								=  random.randint(1  ,							5		)
  UpperCAmelCase__								=  base_var + str(_lowerCAmelCase		)
  UpperCAmelCase__								=  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   lowerCAmelCase						(						):




 """simple docstring"""







 UpperCAmelCase__								=  set()
 UpperCAmelCase__								=  random.randint(1  ,							10		)
 while len(_lowerCAmelCase		) < no_of_clauses:
  clauses.add(generate_clause()		)
 return Formula(_lowerCAmelCase		)



def   lowerCAmelCase						(						_lowerCAmelCase							:				Formula		):




 """simple docstring"""







 UpperCAmelCase__								=  formula.clauses
 UpperCAmelCase__								=  []
 for clause in formula.clauses:
  for literal in clause.literals:
   UpperCAmelCase__								=  literal[:2]
   if symbol not in symbols_set:
    symbols_set.append(_lowerCAmelCase		)
 return clauses, symbols_set



def   lowerCAmelCase						(						_lowerCAmelCase							:				list[Clause]  ,							_lowerCAmelCase							:				list[str]  ,							_lowerCAmelCase							:				dict[str, bool | None]		):




 """simple docstring"""







 UpperCAmelCase__								=  []
 UpperCAmelCase__								=  {}
 UpperCAmelCase__								=  []

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

 for s in symbols:
  UpperCAmelCase__								=  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:
  UpperCAmelCase__								=  None
 for s in pure_symbols:
  UpperCAmelCase__								=  s + "'"
  if s in literals:
   UpperCAmelCase__								=  True
  elif sym in literals:
   UpperCAmelCase__								=  False
 return pure_symbols, assignment



def   lowerCAmelCase						(						_lowerCAmelCase							:				list[Clause]  ,							_lowerCAmelCase							:				dict[str, bool | None]		):




 """simple docstring"""







 UpperCAmelCase__								=  []
 for clause in clauses:
  if len(_lowerCAmelCase		) == 1:
   unit_symbols.append(list(clause.literals.keys()		)[0]		)
  else:
   UpperCAmelCase__	,	UpperCAmelCase__								=  0, 0
   for literal, value in clause.literals.items():
    if value is False:
     f_count += 1
    elif value is None:
     UpperCAmelCase__								=  literal
     n_count += 1
   if f_count == len(_lowerCAmelCase		) - 1 and n_count == 1:
    unit_symbols.append(_lowerCAmelCase		)
 UpperCAmelCase__								=  {}
 for i in unit_symbols:
  UpperCAmelCase__								=  i[:2]
  UpperCAmelCase__								=  len(_lowerCAmelCase		) == 2
 UpperCAmelCase__								=  [i[:2] for i in unit_symbols]

 return unit_symbols, assignment



def   lowerCAmelCase						(						_lowerCAmelCase							:				list[Clause]  ,							_lowerCAmelCase							:				list[str]  ,							_lowerCAmelCase							:				dict[str, bool | None]		):




 """simple docstring"""







 UpperCAmelCase__								=  True
 for clause in clauses:
  UpperCAmelCase__								=  clause.evaluate(_lowerCAmelCase		)
  if clause_check is False:
   return False, None
  elif clause_check is None:
   UpperCAmelCase__								=  False
   continue

 if check_clause_all_true:
  return True, model

 try:
  UpperCAmelCase__	,	UpperCAmelCase__								=  find_pure_symbols(_lowerCAmelCase  ,							_lowerCAmelCase  ,							_lowerCAmelCase		)
 except RecursionError:
  print("raises a RecursionError and is"		)
  return None, {}
 UpperCAmelCase__								=  None
 if len(_lowerCAmelCase		) > 0:
  UpperCAmelCase__	,	UpperCAmelCase__								=  pure_symbols[0], assignment[pure_symbols[0]]

 if p:
  UpperCAmelCase__								=  model
  UpperCAmelCase__								=  value
  UpperCAmelCase__								=  list(_lowerCAmelCase		)
  if p in tmp_symbols:
   tmp_symbols.remove(_lowerCAmelCase		)
  return dpll_algorithm(_lowerCAmelCase  ,							_lowerCAmelCase  ,							_lowerCAmelCase		)

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

 return dpll_algorithm(_lowerCAmelCase  ,							_lowerCAmelCase  ,							_lowerCAmelCase		) or dpll_algorithm(_lowerCAmelCase  ,							_lowerCAmelCase  ,							_lowerCAmelCase		)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

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

  _lowerCAmelCase,   _lowerCAmelCase  :				str						=				generate_parameters(formula)
  _lowerCAmelCase,   _lowerCAmelCase  :				Tuple						=				dpll_algorithm(clauses, symbols, {})

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











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tf_available, is_torch_available


_lowerCAmelCase  :				str						=				{
    "configuration_esm": ["ESM_PRETRAINED_CONFIG_ARCHIVE_MAP", "EsmConfig"],
    "tokenization_esm": ["EsmTokenizer"],
}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCAmelCase  :				Union[str, Any]						=				[
      "ESM_PRETRAINED_MODEL_ARCHIVE_LIST",
      "EsmForMaskedLM",
      "EsmForSequenceClassification",
      "EsmForTokenClassification",
      "EsmModel",
      "EsmPreTrainedModel",
  ]
  _lowerCAmelCase  :				Tuple						=				["EsmForProteinFolding", "EsmFoldPreTrainedModel"]

try:
  if not is_tf_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  _lowerCAmelCase  :				str						=				[
      "TF_ESM_PRETRAINED_MODEL_ARCHIVE_LIST",
      "TFEsmForMaskedLM",
      "TFEsmForSequenceClassification",
      "TFEsmForTokenClassification",
      "TFEsmModel",
      "TFEsmPreTrainedModel",
  ]

if TYPE_CHECKING:
  from .configuration_esm import ESM_PRETRAINED_CONFIG_ARCHIVE_MAP, EsmConfig
  from .tokenization_esm import EsmTokenizer

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_esm import (
        ESM_PRETRAINED_MODEL_ARCHIVE_LIST,
        EsmForMaskedLM,
        EsmForSequenceClassification,
        EsmForTokenClassification,
        EsmModel,
        EsmPreTrainedModel,
    )
    from .modeling_esmfold import EsmFoldPreTrainedModel, EsmForProteinFolding

  try:
    if not is_tf_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_tf_esm import (
        TF_ESM_PRETRAINED_MODEL_ARCHIVE_LIST,
        TFEsmForMaskedLM,
        TFEsmForSequenceClassification,
        TFEsmForTokenClassification,
        TFEsmModel,
        TFEsmPreTrainedModel,
    )


else:
  import sys

  _lowerCAmelCase  :				List[Any]						=				_LazyModule(__name__, globals()["__file__"], _import_structure)





