



def  _lowerCAmelCase     (_lowerCAmelCase):
					UpperCamelCase_			= 1.3
					UpperCamelCase_			= len(_lowerCAmelCase)
					UpperCamelCase_			= False

					while not completed:
										# Update the gap value for a next comb
										UpperCamelCase_			= int(gap / shrink_factor)
										if gap <= 1:
															UpperCamelCase_			= True

										UpperCamelCase_			= 0
										while index + gap < len(_lowerCAmelCase):
															if data[index] > data[index + gap]:
																				# Swap values
																				UpperCamelCase_	,     UpperCamelCase_			= data[index + gap], data[index]
																				UpperCamelCase_			= False
															index += 1

					return data


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	UpperCAmelCase :				Tuple							=input("""Enter numbers separated by a comma:\n""").strip()
	UpperCAmelCase :				List[Any]							=[int(item) for item in user_input.split(""",""")]
	print(comb_sort(unsorted))





from __future__ import annotations

import random
from collections.abc import Iterable


class    _lowercase :
				'''simple docstring'''







				def __init__(			self  ,			snake_case__     ):

									'''simple docstring'''


									UpperCamelCase_			= {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    _lowerCamelCase       (			self  ,			snake_case__     ):

									'''simple docstring'''


									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    _lowerCamelCase       (			self  ,			snake_case__     ):

									'''simple docstring'''


									for literal in self.literals:
														UpperCamelCase_			= literal.rstrip("'"     ) if literal.endswith("'"     ) else literal + "'"
														if symbol in self.literals:
																			return True

									self.assign(snake_case__     )
									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  ,			snake_case__     ):

									'''simple docstring'''


									UpperCamelCase_			= list(snake_case__     )

				def __str__(			self     ):

									'''simple docstring'''


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




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



def  _lowerCAmelCase     (_lowerCAmelCase):
					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 ,						_lowerCAmelCase ,						_lowerCAmelCase):
					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 ,						_lowerCAmelCase):
					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 ,						_lowerCAmelCase ,						_lowerCAmelCase):
					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()

	UpperCAmelCase :				List[Any]							=generate_formula()
	print(F"The formula {formula} is", end=""" """)

	UpperCAmelCase			,			UpperCAmelCase :				Any							=generate_parameters(formula)
	UpperCAmelCase			,			UpperCAmelCase :				str							=dpll_algorithm(clauses, symbols, {})

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