


from __future__ import annotations

import random
from collections.abc import Iterable







class   __lowercase						:





							"""simple docstring"""







							def __init__(			self ,	lowerCAmelCase__					):





										"""simple docstring"""




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






							def __str__(			self					):





										"""simple docstring"""




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






							def __len__(			self					):





										"""simple docstring"""




										return len(self.literals					)






							def 				UpperCamelCase__    (			self ,	lowerCAmelCase__					):





										"""simple docstring"""




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






							def 				UpperCamelCase__    (			self ,	lowerCAmelCase__					):





										"""simple docstring"""




										for literal in self.literals:
													SCREAMING_SNAKE_CASE_		:    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   __lowercase						:





							"""simple docstring"""







							def __init__(			self ,	lowerCAmelCase__					):





										"""simple docstring"""




										SCREAMING_SNAKE_CASE_		:    List[str] 		=				list(lowerCAmelCase__					)






							def __str__(			self					):





										"""simple docstring"""




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







def 	a__ (							):
			SCREAMING_SNAKE_CASE_		:    int 		=				[]
			SCREAMING_SNAKE_CASE_		:    List[str] 		=				random.randint(1,			5							)
			SCREAMING_SNAKE_CASE_		:    Optional[Any] 		=				'A'
			SCREAMING_SNAKE_CASE_		:    str 		=				0
			while i < no_of_literals:
						SCREAMING_SNAKE_CASE_		:    Optional[int] 		=				random.randint(1,			5							)
						SCREAMING_SNAKE_CASE_		:    Optional[Any] 		=				base_var + str(A__							)
						SCREAMING_SNAKE_CASE_		:    int 		=				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 	a__ (							):
			SCREAMING_SNAKE_CASE_		:    set[Clause] 		=				set()
			SCREAMING_SNAKE_CASE_		:    Optional[Any] 		=				random.randint(1,			1_0							)
			while len(A__							) < no_of_clauses:
						clauses.add(generate_clause()							)
			return Formula(A__							)






def 	a__ (							A__							):
			SCREAMING_SNAKE_CASE_		:    Tuple 		=				formula.clauses
			SCREAMING_SNAKE_CASE_		:    List[str] 		=				[]
			for clause in formula.clauses:
						for literal in clause.literals:
									SCREAMING_SNAKE_CASE_		:    List[Any] 		=				literal[:2]
									if symbol not in symbols_set:
												symbols_set.append(A__							)
			return clauses, symbols_set






def 	a__ (							A__,			A__,			A__							):
			SCREAMING_SNAKE_CASE_		:    List[Any] 		=				[]
			SCREAMING_SNAKE_CASE_		:    dict[str, bool | None] 		=				{}
			SCREAMING_SNAKE_CASE_		:    Tuple 		=				[]

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

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






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

			return unit_symbols, assignment






def 	a__ (							A__,			A__,			A__							):
			SCREAMING_SNAKE_CASE_		:    Any 		=				True
			for clause in clauses:
						SCREAMING_SNAKE_CASE_		:    List[str] 		=				clause.evaluate(A__							)
						if clause_check is False:
									return False, None
						elif clause_check is None:
									SCREAMING_SNAKE_CASE_		:    Any 		=				False
									continue

			if check_clause_all_true:
						return True, model

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

			if p:
						SCREAMING_SNAKE_CASE_		:    Union[str, Any] 		=				model
						SCREAMING_SNAKE_CASE_		:    Optional[int] 		=				value
						SCREAMING_SNAKE_CASE_		:    Dict 		=				list(A__							)
						if p in tmp_symbols:
									tmp_symbols.remove(A__							)
						return dpll_algorithm(A__,			A__,			A__							)

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

			return dpll_algorithm(A__,			A__,			A__							) or dpll_algorithm(A__,			A__,			A__							)


if __name__ == "__main__":
				import doctest

				doctest.testmod()

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

				lowerCAmelCase__       ,lowerCAmelCase__ :			Dict         =generate_parameters(formula)
				lowerCAmelCase__       ,lowerCAmelCase__ :			str         =dpll_algorithm(clauses, symbols, {})

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









from transformers.models.cpm.tokenization_cpm import CpmTokenizer
from transformers.testing_utils import custom_tokenizers

from ..xlnet.test_modeling_xlnet import XLNetModelTest







@custom_tokenizers
class   __lowercase						(__SCREAMING_SNAKE_CASE     ):





							"""simple docstring"""







							def 				UpperCamelCase__    (			self ,	lowerCAmelCase__ ,	lowerCAmelCase__ ,	lowerCAmelCase__ ,	lowerCAmelCase__ ,	lowerCAmelCase__					):





										"""simple docstring"""




										return True






							def 				UpperCamelCase__    (			self					):





										"""simple docstring"""




										SCREAMING_SNAKE_CASE_		:    List[str] 		=				CpmTokenizer.from_pretrained('TsinghuaAI/CPM-Generate'					)
										SCREAMING_SNAKE_CASE_		:    int 		=				'Hugging Face大法好，谁用谁知道。'
										SCREAMING_SNAKE_CASE_		:    List[str] 		=				'Hugging Face大法好,谁用谁知道。<unk>'
										SCREAMING_SNAKE_CASE_		:    Union[str, Any] 		=				'▁Hu gg ing ▁ ▂ ▁F ace ▁大法 ▁好 ▁ , ▁谁 ▁用 ▁谁 ▁知 道 ▁ 。'.split()

										SCREAMING_SNAKE_CASE_		:    Union[str, Any] 		=				tokenizer.tokenize(lowerCAmelCase__					)
										self.assertListEqual(lowerCAmelCase__ ,	lowerCAmelCase__					)

										SCREAMING_SNAKE_CASE_		:    Optional[Any] 		=				tokens + [tokenizer.unk_token]

										SCREAMING_SNAKE_CASE_		:    List[Any] 		=				[1_3_7_8_9, 1_3_2_8_3, 1_4_2_1, 8, 1_0, 1_1_6_4, 1_3_6_0_8, 1_6_5_2_8, 6_3, 8, 9, 4_4_0, 1_0_8, 4_4_0, 1_2_1, 9_0, 8, 1_2, 0]
										self.assertListEqual(tokenizer.convert_tokens_to_ids(lowerCAmelCase__					) ,	lowerCAmelCase__					)

										SCREAMING_SNAKE_CASE_		:    List[Any] 		=				tokenizer.decode(lowerCAmelCase__					)
										self.assertEqual(lowerCAmelCase__ ,	lowerCAmelCase__					)





