

"""simple docstring"""





def 				_lowerCAmelCase					(  UpperCAmelCase   :							Any ):


					'''simple docstring'''






					return n * (2 * n - 1)



def 				_lowerCAmelCase					(  UpperCAmelCase   :							Optional[Any] ):


					'''simple docstring'''






					UpperCamelCase__						:			Any				     =(1 + 24 * n) ** 0.5
					return ((1 + root) / 6) % 1 == 0



def 				_lowerCAmelCase					(  UpperCAmelCase   :							Tuple = 144 ):


					'''simple docstring'''






					UpperCamelCase__						:			Optional[int]				     =start
					UpperCamelCase__						:			int				     =hexagonal_num(UpperCAmelCase )
					while not is_pentagonal(UpperCAmelCase ):
										n += 1
										UpperCamelCase__						:			Optional[int]				     =hexagonal_num(UpperCAmelCase )
					return num


if __name__ == "__main__":
				print(F'''{solution()} = ''')








def  lowerCAmelCase  (	UpperCAmelCase       )  ->str:






					"""simple docstring"""






					return " ".join(sorted(set(sentence.split()       )       )       )


if __name__ == "__main__":
				import doctest

				doctest.testmod()



