



def 	__snake_case      (     _UpperCAmelCase							):
    return n * (2 * n - 1)





def 	__snake_case      (     _UpperCAmelCase							):
    __a					=							(1 + 24 * n) ** 0.5
    return ((1 + root) / 6) % 1 == 0





def 	__snake_case      (     _UpperCAmelCase = 144							):
    __a					=							start
    __a					=							hexagonal_num(_UpperCAmelCase							)
    while not is_pentagonal(_UpperCAmelCase							):
        n += 1
        __a					=							hexagonal_num(_UpperCAmelCase							)
    return num


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










def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 9 / 5) + 32  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(float(_UpperCAmelCase							) + 2_73.15  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 9 / 5) + 4_91.67  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) - 32) * 5 / 9  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(((float(_UpperCAmelCase							) - 32) * 5 / 9) + 2_73.15  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(float(_UpperCAmelCase							) + 4_59.67  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(float(_UpperCAmelCase							) - 2_73.15  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(((float(_UpperCAmelCase							) - 2_73.15) * 9 / 5) + 32  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 9 / 5)  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) - 4_91.67) * 5 / 9  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round(float(_UpperCAmelCase							) - 4_59.67  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 5 / 9)  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 1.25 + 2_73.15)  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 2.25 + 32)  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 1.25)  ,					_UpperCAmelCase							)





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase = 2							):
    return round((float(_UpperCAmelCase							) * 2.25 + 32 + 4_59.67)  ,					_UpperCAmelCase							)


if __name__ == "__main__":
 import doctest

 doctest.testmod()





