



def 						_UpperCAmelCase							( snake_case     ):





					"""simple docstring"""

					return n * (2 * n - 1)


def 						_UpperCAmelCase							( snake_case     ):





					"""simple docstring"""

					_lowerCAmelCase         =       (1 + 24 * n) ** 0.5
					return ((1 + root) / 6) % 1 == 0


def 						_UpperCAmelCase							( snake_case = 1_44     ):





					"""simple docstring"""

					_lowerCAmelCase         =       start
					_lowerCAmelCase         =       hexagonal_num(snake_case     )
					while not is_pentagonal(snake_case     ):
										n += 1
										_lowerCAmelCase         =       hexagonal_num(snake_case     )
					return num


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





"""simple docstring"""
def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 9 / 5) + 32						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(float(lowerCamelCase_			) + 273.15						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 9 / 5) + 491.67						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) - 32) * 5 / 9						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(((float(lowerCamelCase_			) - 32) * 5 / 9) + 273.15						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(float(lowerCamelCase_			) + 459.67						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(float(lowerCamelCase_			) - 273.15						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(((float(lowerCamelCase_			) - 273.15) * 9 / 5) + 32						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 9 / 5)						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) - 491.67) * 5 / 9						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round(float(lowerCamelCase_			) - 459.67						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 5 / 9)						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 1.25 + 273.15)						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 2.25 + 32)						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 1.25)						,					lowerCamelCase_			)


def      lowerCamelCase_     (						lowerCamelCase_						,					lowerCamelCase_ = 2			)  ->      float:


					'''simple docstring'''
					return round((float(lowerCamelCase_			) * 2.25 + 32 + 459.67)						,					lowerCamelCase_			)


if __name__ == "__main__":
			import doctest

			doctest.testmod()
