




import math







def 		lowercase__ (		__A:						int					):





					'''simple docstring'''






					__magic_name__				:						Dict     				=				math.log(2				,1_0					) * number
					__magic_name__				:						Optional[int]     				=				round((log_number - int(__A					))				,1_5					)

					return difference







def 		lowercase__ (		__A:						int = 6_7_8_9_1_0					):





					'''simple docstring'''






					__magic_name__				:						List[str]     				=				9_0
					__magic_name__				:						Any     				=				0

					__magic_name__				:						Union[str, Any]     				=				math.log(1.23				,1_0					)
					__magic_name__				:						str     				=				math.log(1.24				,1_0					)
					__magic_name__				:						List[Any]     				=				0

					while position < number:
										__magic_name__				:						Tuple     				=				log_difference(__A					)

										if difference >= upper_limit:
															power_iterator += 9_3

										elif difference < lower_limit:
															power_iterator += 1_9_6

										else:
															__magic_name__				:						Optional[Any]     				=				power_iterator
															power_iterator += 1_9_6
															position += 1

					return previous_power


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	print(F"""{solution() = }""")









def 		lowercase__ (		__A:						int					):





					'''simple docstring'''






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


if __name__ == "__main__":
	import doctest

	doctest.testmod()



