






"""simple docstring"""
from __future__ import annotations

import random
from collections.abc import Iterable


class _lowerCAmelCase	:







						def __init__(						self      ,							lowerCAmelCase_       )		->       None:
										_SCREAMING_SNAKE_CASE      :		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  A			(						self      ,							lowerCAmelCase_       )		->       None:
										for literal in self.literals:
														_SCREAMING_SNAKE_CASE      :		Tuple							=						literal[:2]
														if symbol in model:
																		_SCREAMING_SNAKE_CASE      :		Any							=						model[symbol]
														else:
																		continue
														if value is not None:
																		# Complement assignment if literal is in complemented form
																		if literal.endswith('\''       ):
																						_SCREAMING_SNAKE_CASE      :		int							=						not value
														_SCREAMING_SNAKE_CASE      :		Dict							=						value







						def  A			(						self      ,							lowerCAmelCase_       )		->       bool | None:
										for literal in self.literals:
														_SCREAMING_SNAKE_CASE      :		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	:







						def __init__(						self      ,							lowerCAmelCase_       )		->       None:
										_SCREAMING_SNAKE_CASE      :		Dict							=						list(lowerCAmelCase_       )







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







def 							lowercase__		(				):
				_SCREAMING_SNAKE_CASE      :		Tuple							=						[]
				_SCREAMING_SNAKE_CASE      :		Dict							=						random.randint(1,	5					)
				_SCREAMING_SNAKE_CASE      :		Any							=						'A'
				_SCREAMING_SNAKE_CASE      :		Optional[int]							=						0
				while i < no_of_literals:
								_SCREAMING_SNAKE_CASE      :		List[Any]							=						random.randint(1,	5					)
								_SCREAMING_SNAKE_CASE      :		Tuple							=						base_var + str(lowerCamelCase					)
								_SCREAMING_SNAKE_CASE      :		List[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 							lowercase__		(				):
				_SCREAMING_SNAKE_CASE      :		set[Clause]							=						set()
				_SCREAMING_SNAKE_CASE      :		Optional[int]							=						random.randint(1,	10					)
				while len(lowerCamelCase					) < no_of_clauses:
								clauses.add(generate_clause()					)
				return Formula(lowerCamelCase					)





def 							lowercase__		(				lowerCamelCase					):
				_SCREAMING_SNAKE_CASE      :		Dict							=						formula.clauses
				_SCREAMING_SNAKE_CASE      :		Dict							=						[]
				for clause in formula.clauses:
								for literal in clause.literals:
												_SCREAMING_SNAKE_CASE      :		Union[str, Any]							=						literal[:2]
												if symbol not in symbols_set:
																symbols_set.append(lowerCamelCase					)
				return clauses, symbols_set





def 							lowercase__		(				lowerCamelCase,	lowerCamelCase,	lowerCamelCase					):
				_SCREAMING_SNAKE_CASE      :		int							=						[]
				_SCREAMING_SNAKE_CASE      :		dict[str, bool | None]							=						{}
				_SCREAMING_SNAKE_CASE      :		List[str]							=						[]

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

				for s in symbols:
								_SCREAMING_SNAKE_CASE      :		Dict							=						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:
								_SCREAMING_SNAKE_CASE      :		Tuple							=						None
				for s in pure_symbols:
								_SCREAMING_SNAKE_CASE      :		Any							=						s + '\''
								if s in literals:
												_SCREAMING_SNAKE_CASE      :		Optional[int]							=						True
								elif sym in literals:
												_SCREAMING_SNAKE_CASE      :		Optional[Any]							=						False
				return pure_symbols, assignment





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

				return unit_symbols, assignment





def 							lowercase__		(				lowerCamelCase,	lowerCamelCase,	lowerCamelCase					):
				_SCREAMING_SNAKE_CASE      :		Tuple							=						True
				for clause in clauses:
								_SCREAMING_SNAKE_CASE      :		Optional[int]							=						clause.evaluate(lowerCamelCase					)
								if clause_check is False:
												return False, None
								elif clause_check is None:
												_SCREAMING_SNAKE_CASE      :		Tuple							=						False
												continue

				if check_clause_all_true:
								return True, model

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

				if p:
								_SCREAMING_SNAKE_CASE      :		Dict							=						model
								_SCREAMING_SNAKE_CASE      :		str							=						value
								_SCREAMING_SNAKE_CASE      :		List[Any]							=						list(lowerCamelCase					)
								if p in tmp_symbols:
												tmp_symbols.remove(lowerCamelCase					)
								return dpll_algorithm(lowerCamelCase,	lowerCamelCase,	lowerCamelCase					)

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

				return dpll_algorithm(lowerCamelCase,	lowerCamelCase,	lowerCamelCase					) or dpll_algorithm(lowerCamelCase,	lowerCamelCase,	lowerCamelCase					)


if __name__ == "__main__":
			import doctest

			doctest.testmod()

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

			lowerCAmelCase__	,   lowerCAmelCase__							= generate_parameters(formula)
			lowerCAmelCase__	,   lowerCAmelCase__							= 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_vit import ViTImageProcessor


lowerCAmelCase__							= logging.get_logger(__name__)


class _lowerCAmelCase	(						__UpperCAmelCase					):







						def __init__(						self      ,							*lowerCAmelCase_      ,							**lowerCAmelCase_       )		->       None:
										warnings.warn(
										    'The class ViTFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'
										    ' use ViTImageProcessor instead.'      ,							lowerCAmelCase_      ,							)
										super().__init__(*lowerCAmelCase_      ,							**lowerCAmelCase_       )

