






from __future__ import annotations

import random
from collections.abc import Iterable

class        _SCREAMING_SNAKE_CASE			:





	def __init__(						self							:   Union[str, Any]					,    __lowerCamelCase							:   list[str]      ):
		UpperCamelCase	:dict[str, bool | None]		=      {literal: None for literal in literals}





	def __str__(						self							:   List[str]      ):
		return "{" + " , ".join(self.literals      ) + "}"





	def __len__(						self							:   Optional[int]      ):
		return len(self.literals      )





	def 		_A					(						self							:   List[str]					,    __lowerCamelCase							:   dict[str, bool | None]      ):
		for literal in self.literals:
			UpperCamelCase	:Tuple		=      literal[:2]
			if symbol in model:
				UpperCamelCase	:List[Any]		=      model[symbol]
			else:
				continue
			if value is not None:
				# Complement assignment if literal is in complemented form
				if literal.endswith("""'"""      ):
					UpperCamelCase	:Union[str, Any]		=      not value
			UpperCamelCase	:Dict		=      value





	def 		_A					(						self							:   Optional[Any]					,    __lowerCamelCase							:   dict[str, bool | None]      ):
		for literal in self.literals:
			UpperCamelCase	:Dict		=      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        _SCREAMING_SNAKE_CASE			:





	def __init__(						self							:   Optional[Any]					,    __lowerCamelCase							:   Iterable[Clause]      ):
		UpperCamelCase	:List[str]		=      list(__lowerCamelCase      )





	def __str__(						self							:   Optional[int]      ):
		return "{" + " , ".join(str(__lowerCamelCase      ) for clause in self.clauses      ) + "}"

def   SCREAMING_SNAKE_CASE_				(				)						->     Clause:






	"""simple docstring"""



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

def   SCREAMING_SNAKE_CASE_				(				)						->     Formula:






	"""simple docstring"""



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

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    Formula   )						->     tuple[list[Clause], list[str]]:






	"""simple docstring"""



	UpperCamelCase	:Tuple		=      formula.clauses
	UpperCamelCase	:Tuple		=      []
	for clause in formula.clauses:
		for literal in clause.literals:
			UpperCamelCase	:int		=      literal[:2]
			if symbol not in symbols_set:
				symbols_set.append(__magic_name__   )
	return clauses, symbols_set

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    list[Clause]      ,     __magic_name__   :    list[str]      ,     __magic_name__   :    dict[str, bool | None]   )						->     tuple[list[str], dict[str, bool | None]]:






	"""simple docstring"""



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

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

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

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    list[Clause]      ,     __magic_name__   :    dict[str, bool | None]   )						->     tuple[list[str], dict[str, bool | None]]:






	"""simple docstring"""



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

	return unit_symbols, assignment

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    list[Clause]      ,     __magic_name__   :    list[str]      ,     __magic_name__   :    dict[str, bool | None]   )						->     tuple[bool | None, dict[str, bool | None] | None]:






	"""simple docstring"""



	UpperCamelCase	:Any		=      True
	for clause in clauses:
		UpperCamelCase	:Optional[Any]		=      clause.evaluate(__magic_name__   )
		if clause_check is False:
			return False, None
		elif clause_check is None:
			UpperCamelCase	:Optional[Any]		=      False
			continue

	if check_clause_all_true:
		return True, model

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

	if p:
		UpperCamelCase	:Any		=      model
		UpperCamelCase	:str		=      value
		UpperCamelCase	:Tuple		=      list(__magic_name__   )
		if p in tmp_symbols:
			tmp_symbols.remove(__magic_name__   )
		return dpll_algorithm(__magic_name__      ,     __magic_name__      ,     __magic_name__   )

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

	return dpll_algorithm(__magic_name__      ,     __magic_name__      ,     __magic_name__   ) or dpll_algorithm(__magic_name__      ,     __magic_name__      ,     __magic_name__   )


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	UpperCAmelCase_					:		List[str]           = generate_formula()
	print(F'''The formula {formula} is''', end=''' ''')

	UpperCAmelCase_    ,							UpperCAmelCase_					:		Optional[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.''')








class        _SCREAMING_SNAKE_CASE			:





	def __init__(						self							:   Union[str, Any]      ):
		UpperCamelCase	:Union[str, Any]		=      [0, 1]





	def 		_A					(						self							:   str					,    __lowerCamelCase							:   int      ):
		if (difference := index - (len(self.sequence      ) - 2)) >= 1:
			for _ in range(__lowerCamelCase      ):
				self.sequence.append(self.sequence[-1] + self.sequence[-2]      )
		return self.sequence[:index]

def   SCREAMING_SNAKE_CASE_				(				)						->     None:






	"""simple docstring"""



	print(
	    """Fibonacci Series Using Dynamic Programming\n"""      ,     """Enter the index of the Fibonacci number you want to calculate """      ,     """in the prompt below. (To exit enter exit or Ctrl-C)\n"""      ,     sep=""""""      ,     )
	UpperCamelCase	:Any		=      Fibonacci()

	while True:
		UpperCamelCase	:str		=      input(""">> """   )
		if prompt in {"exit", "quit"}:
			break

		try:
			UpperCamelCase	:int		=      int(__magic_name__   )
		except ValueError:
			print("""Enter a number or 'exit'"""   )
			continue

		print(fibonacci.get(__magic_name__   )   )


if __name__ == "__main__":
	main()
