



def 	a						(				_UpperCAmelCase							: int						):







		'''simple docstring'''





		if not isinstance(lowercase__			,       lowercase__						):
				__UpperCAmelCase   :					Dict													=     f'Input value of [number={number}] must be an integer'
				raise TypeError(lowercase__						)
		if number < 0 or number % 2 == 1:
				return False
		__UpperCAmelCase   :					Optional[int]													=     int(number**0.5						)
		return number == number_sqrt * (number_sqrt + 1)


if __name__ == "__main__":
				import doctest

				doctest.testmod()








def 	a						(				_UpperCAmelCase							: str						):







		'''simple docstring'''





		__UpperCAmelCase   :					Optional[Any]													=     53_81
		for x in s:
				__UpperCAmelCase   :					str													=     ((hash_value << 5) + hash_value) + ord(_UpperCAmelCase						)
		return hash_value & 0xFFFF_FFFF





